From f8114704e9dfc1cf3123447fe932a341d4e73db2 Mon Sep 17 00:00:00 2001 From: James Bristow Date: Mon, 5 Feb 2024 15:33:59 +1300 Subject: [PATCH] Finishing Kalman and Bayesian Filters in Python --- .../06-Multivariate-Kalman-Filters.ipynb | 1062 ++++++++- .../07-Kalman-Filter-Math.ipynb | 616 +++++ .../08-Designing-Kalman-Filters.ipynb | 2109 +++++++++++++++++ .../09-Nonlinear-Filtering.ipynb | 419 ++++ .../10-Unscented-Kalman-Filter.ipynb | 1541 ++++++++++++ .../11-Extended-Kalman-Filters.ipynb | 826 +++++++ .../12-Particle-Filters.ipynb | 741 ++++++ .../13-Smoothing.ipynb | 344 +++ .../14-Adaptive-Filtering.ipynb | 1154 +++++++++ .../Appendix-E-Ensemble-Kalman-Filters.ipynb | 160 ++ .../kf_book/adaptive_internal.py | 144 ++ .../kf_book/ekf_internal.py | 247 ++ .../kf_book/kf_design_internal.py | 46 + requirements.txt | 4 +- 14 files changed, 9410 insertions(+), 3 deletions(-) create mode 100644 kalman_and_bayesian_filters/07-Kalman-Filter-Math.ipynb create mode 100644 kalman_and_bayesian_filters/08-Designing-Kalman-Filters.ipynb create mode 100644 kalman_and_bayesian_filters/09-Nonlinear-Filtering.ipynb create mode 100644 kalman_and_bayesian_filters/10-Unscented-Kalman-Filter.ipynb create mode 100644 kalman_and_bayesian_filters/11-Extended-Kalman-Filters.ipynb create mode 100644 kalman_and_bayesian_filters/12-Particle-Filters.ipynb create mode 100644 kalman_and_bayesian_filters/13-Smoothing.ipynb create mode 100644 kalman_and_bayesian_filters/14-Adaptive-Filtering.ipynb create mode 100644 kalman_and_bayesian_filters/Appendix-E-Ensemble-Kalman-Filters.ipynb create mode 100644 kalman_and_bayesian_filters/kf_book/adaptive_internal.py create mode 100644 kalman_and_bayesian_filters/kf_book/ekf_internal.py create mode 100644 kalman_and_bayesian_filters/kf_book/kf_design_internal.py diff --git a/kalman_and_bayesian_filters/06-Multivariate-Kalman-Filters.ipynb b/kalman_and_bayesian_filters/06-Multivariate-Kalman-Filters.ipynb index 93b3a19..c795050 100644 --- a/kalman_and_bayesian_filters/06-Multivariate-Kalman-Filters.ipynb +++ b/kalman_and_bayesian_filters/06-Multivariate-Kalman-Filters.ipynb @@ -1,9 +1,1069 @@ { "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "f2d33338", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "\n", + "import book_format\n", + "book_format.set_style()\n", + "\n", + "import kf_book.book_plots as book_plots\n", + "book_plots.show_residual_chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "efe18748", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "\n", + "import math\n", + "import numpy as np\n", + "from numpy.random import randn\n", + "\n", + "def compute_dog_data(z_var, process_var, count=1, dt=1.):\n", + " \"returns track, measurements 1D ndarrays\"\n", + " x, vel = 0., 1.\n", + " z_std = math.sqrt(z_var) \n", + " p_std = math.sqrt(process_var)\n", + " xs, zs = [], []\n", + " for _ in range(count):\n", + " v = vel + (randn() * p_std)\n", + " x += v*dt \n", + " xs.append(x)\n", + " zs.append(x + randn() * z_std) \n", + " return np.array(xs), np.array(zs)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "0f361125", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x = [10.45 4.5 ]\n" + ] + } + ], + "source": [ + "from scipy.linalg import solve\n", + "from filterpy.kalman import predict\n", + "\n", + "dt = 0.1\n", + "F = np.array([[1, dt],\n", + " [0, 1]])\n", + "x = np.array([10.0, 4.5])\n", + "P = np.diag([500, 49])\n", + "F = np.array([[1, dt], [0, 1]])\n", + "\n", + "# Q is the process noise\n", + "x, P = predict(x=x, P=P, F=F, Q=0)\n", + "print('x =', x)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "a2ef166f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x = [10.9 4.5]\n", + "x = [11.35 4.5 ]\n", + "x = [11.8 4.5]\n", + "x = [12.25 4.5 ]\n" + ] + } + ], + "source": [ + "for _ in range(4):\n", + " x, P = predict(x=x, P=P, F=F, Q=0)\n", + " print('x =', x)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "6f599999", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from filterpy.stats import plot_covariance_ellipse\n", + "\n", + "dt = 0.3\n", + "F = np.array([[1, dt], [0, 1]])\n", + "x = np.array([10.0, 4.5])\n", + "P = np.diag([500, 500])\n", + "plot_covariance_ellipse(x, P, edgecolor='r')\n", + "x, P = predict(x, P, F, Q=0)\n", + "plot_covariance_ellipse(x, P, edgecolor='k', ls='dashed')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "58f79f74", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.5875 1.175 ]\n", + " [1.175 2.35 ]]\n" + ] + } + ], + "source": [ + "from filterpy.common import Q_discrete_white_noise\n", + "Q = Q_discrete_white_noise(dim=2, dt=1., var=2.35)\n", + "print(Q)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "8e7c026a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x = [12.7 4.5]\n", + "P = [[680.5875 301.175 ]\n", + " [301.175 502.35 ]]\n" + ] + } + ], + "source": [ + "B = 0. # my dog doesn't listen to me!\n", + "u = 0\n", + "x, P = predict(x, P, F, Q, B, u)\n", + "print('x =', x)\n", + "print('P =', P)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "83b03a76", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ True, True])" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "predict(x, P, F, Q)[0] == predict(x, P, F, Q, B, u)[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "96dd0f85", + "metadata": {}, + "outputs": [], + "source": [ + "H = np.array([[1., 0.]])" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "f222b386", + "metadata": {}, + "outputs": [], + "source": [ + "R = np.array([[5.]])" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "df075321", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x = [ 1.08532828 -0.63974876]\n" + ] + } + ], + "source": [ + "from filterpy.kalman import update\n", + "z = 1.\n", + "x, P = update(x, P, z, R, H)\n", + "print('x =', x)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "03512d97", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x = [[0. 0.]]\n", + "R = [[1.]]\n", + "Q = \n", + " [[1. 0.]\n", + " [0. 1.]]\n" + ] + } + ], + "source": [ + "from filterpy.kalman import KalmanFilter\n", + "dog_filter = KalmanFilter(dim_x=2, dim_z=1)\n", + "print('x = ', dog_filter.x.T)\n", + "print('R = ', dog_filter.R)\n", + "print('Q = \\n', dog_filter.Q)\n", + "# etc..." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "58ac7ef6", + "metadata": {}, + "outputs": [], + "source": [ + "from filterpy.kalman import KalmanFilter\n", + "from filterpy.common import Q_discrete_white_noise\n", + "\n", + "def pos_vel_filter(x, P, R, Q=0., dt=1.0):\n", + " \"\"\" Returns a KalmanFilter which implements a\n", + " constant velocity model for a state [x dx].T\n", + " \"\"\"\n", + " \n", + " kf = KalmanFilter(dim_x=2, dim_z=1)\n", + " kf.x = np.array([x[0], x[1]]) # location and velocity\n", + " kf.F = np.array([[1., dt],\n", + " [0., 1.]]) # state transition matrix\n", + " kf.H = np.array([[1., 0]]) # Measurement function\n", + " kf.R *= R # measurement uncertainty\n", + " if np.isscalar(P):\n", + " kf.P *= P # covariance matrix \n", + " else:\n", + " kf.P[:] = P # [:] makes deep copy\n", + " if np.isscalar(Q):\n", + " kf.Q = Q_discrete_white_noise(dim=2, dt=dt, var=Q)\n", + " else:\n", + " kf.Q[:] = Q\n", + " return kf" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "d6d777b2", + "metadata": {}, + "outputs": [], + "source": [ + "dt = .1\n", + "x = np.array([0., 0.]) \n", + "kf = pos_vel_filter(x, P=500, R=5, Q=0.1, dt=dt)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "5cf845e8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "KalmanFilter object\n", + "dim_x = 2\n", + "dim_z = 1\n", + "dim_u = 0\n", + "x = [0. 0.]\n", + "P = [[500. 0.]\n", + " [ 0. 500.]]\n", + "x_prior = [[0. 0.]].T\n", + "P_prior = [[1. 0.]\n", + " [0. 1.]]\n", + "x_post = [[0. 0.]].T\n", + "P_post = [[1. 0.]\n", + " [0. 1.]]\n", + "F = [[1. 0.1]\n", + " [0. 1. ]]\n", + "Q = [[2.5e-06 5.0e-05]\n", + " [5.0e-05 1.0e-03]]\n", + "R = [[5.]]\n", + "H = [[1. 0.]]\n", + "K = [[0. 0.]].T\n", + "y = [[0.]]\n", + "S = [[0.]]\n", + "SI = [[0.]]\n", + "M = [[0.]]\n", + "B = None\n", + "z = [[None]]\n", + "log-likelihood = -708.3964185322641\n", + "likelihood = 2.2250738585072014e-308\n", + "mahalanobis = 0.0\n", + "alpha = 1.0\n", + "inv = " + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kf" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "7561f9d2", + "metadata": {}, + "outputs": [], + "source": [ + "from kf_book.mkf_internal import plot_track\n", + "\n", + "def run(x0=(0.,0.), P=500, R=0, Q=0, dt=1.0, \n", + " track=None, zs=None,\n", + " count=0, do_plot=True, **kwargs):\n", + " \"\"\"\n", + " track is the actual position of the dog, zs are the \n", + " corresponding measurements. \n", + " \"\"\"\n", + "\n", + " # Simulate dog if no data provided. \n", + " if zs is None:\n", + " track, zs = compute_dog_data(R, Q, count)\n", + "\n", + " # create the Kalman filter\n", + " kf = pos_vel_filter(x0, R=R, P=P, Q=Q, dt=dt) \n", + "\n", + " # run the kalman filter and store the results\n", + " xs, cov = [], []\n", + " for z in zs:\n", + " kf.predict()\n", + " kf.update(z)\n", + " xs.append(kf.x)\n", + " cov.append(kf.P)\n", + "\n", + " xs, cov = np.array(xs), np.array(cov)\n", + " if do_plot:\n", + " plot_track(xs[:, 0], track, zs, cov, **kwargs)\n", + " return xs, cov" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "0179ec02", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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6t3TpUp5//vkybWNhYSGpqan4+HgDeSxfvpTgYDcaNgzGYDAAIJeXHNCKSXPh9ysGfruSyNnbGRSPWqy0WTzfvi7N/K1pWT2gzH5+i+CoGBEcCYIgCE8jnU5H5cqViYqKAsDZ2ZnevXuTnZ3N5s2bTZu0tm7dmgMHDgDg7e3N8uXLadWqFRqNhs8//5z33nsPgMDAQCIiIkoNVv6JzMxMlEolarWKy5dPcPLkEUaMaI+FBeTmarCxsS61hyghIRVbJ2fe35rD2rP5ZmXVvew4umYBudeP4qbUEx0dTUFBQZn+/BbBUTEiOBIEQRCeVufPn6ddu3am/cj+X82aNalatSqrV68GYM2aNfTv39/smg4dOrBnzx4ADh06RIsWLf5RGwwGA1lZWTg5OaHXa/j55++oWzeQ2rX9KCwsRK83oFZb3fP+L79cxpIlm7mdb0fNMbO5kyUhk0HTIBc6hnrSIdQDb0dr+vTpw8aNGwEYNmwYH3zwAYGBgSLPkSAIgiAIf6lTpw6nTp1iyJAhWFpams47Ozvz+uuvc+jQIVJSUkznO3XqVKKO4ufi4+Mf6Ll6vR6dTgfAuXNH2bLlZyTpMgrFNXr0qE716p6AhEqlNAuM7g6lFRcRmUCCa3Nc+n/AnSwJXycFa16qzPLRjRnRNABvR2sA3nzzTSwsjNOmly1bVubbiYjgSBAEQRD+IypVqsTy5ctJSkri1KlTnD9/nvj4eD799FMcHBzMelWMq8PMFT93vx6Yu4NOOp2WX3/9noiIw8AlQkKgW7cayGTGXEpubk6mIOautWv30L//NCpVes4UVAFEJOu47DUAh6YDkckVNHLPZuerLjQIsC3x/IYNG7J8+XJTksvi9ZQFMaxWjBhWEwRBEP7LfvjhB0aPHg1Ay5Yt2bZtm2ml27Fjx2jTpg1FRUXY29sTHx+PrW3JwOTy5UuEh5+nX79WQCY3btxCpbJg797f2L59BykpyajValq2bMnAgQMJCgoyu3/QoOmsXr0bgAMHFtOyZV1+Oa7h4x05FOrA3go+6etIlxp3e5m8Aa9Sv8+tW7f49ttv2bBhAzExMWLOUXkQwZEgCILwX6bRaAgKCiIxMREwDrl17dqVxMRE9u7da+oRmjp1qinJolarZffu36hevQL+/rYkJUWSlJRC9epByOVybty4wYQJE0hLSzc9JzsbsrKgoAB+/vltnnvuOVPZsmU7GD78HZydHfjwizc5bqjHoRtFALSsrOSzfg542CuKtfrewdFfzyvbn98iz5EgCIIgPCPUajUbNmygU6dO5OTkkJ6ezrJly8yuadu2LWPGjOH48aM0aRKKpWUGanUCCoUCcMfDwxEPD0cAcnJymDjxFVNgJJOBn58f+/bFkZ1tDLRmzvwIX18/GjSoj06nw8EBhgytT7ZdZeZeq0SRrAiVBbzV1Y6wJmpkMhnXr0ejUqkICAgB7HjUxJwjQRAEQXiGNGnShNOnTzN06FCzjWk9PDx4990Z7NixDJkslszM8xgMEUAGrVvXxcfH3ayetLRMpkz5mIsXUwGoXr0amzZtYuPGjUyfPg4wBkt5ebD4p5WsP5ZAq/HLmLJZ4pjHVC45DKFIZo0iOwKvP6bjlHoMmcwCcCE6GhITnYFKQMmhvfImhtWKEcNqgiAIwrOiqKiIyMhItNoCrK0LOX78MA0bVqRKlQoPdH/16gO4ciUSgBo1YPPmdQQGBlCglThwIYkdJ+9w4HIcuUo/DOqSw2L67ESs7vyOKnID6ak6iopsOHToJKGh1ZAkqdT8R/cihtUEQRAEQXhoBoMBuVzO1aunOH/+GGFhbVAoLKhYsVXpGapjErh0KYLu3c1zHvXs2coUHBkUblzM9OCjnzM4dKOQIj2ANzh6m66XZUdB0kW87fJ5sU9bFDkFZGc24qefIklIOAPksWjRYubNm/ePAqPyIHqOihE9R4IgCMJ/lSRJrFu3kipV3KlZ04OCghz0egM2Ntb3vKdLl1fYtesYtrZqUlJ2Y2WlMpWdOHuToa//hORbH4NHPVD8NUTnaiuntp8lVw+tITPyBJa5kWQk5ZGeDgcOHKN+/SZoNBqsra1JSUkhICCA/Px87O3tSUtLK7H8/++U9c9vMedIEARBEP6jUlJS2LdvD5KUhkx2k2rVLPHyAijCykplFhilpWWWuN/LywUwbvXx++8nyCs0sPViPmN/zWDERjv0DSdi8G4CCiV2pDOupYpVIyw49ZYrndSHuL7pe2JOXeLyuTxiY8HXtwr16zcBjJPDZTIZ7u7utG7dGjAGOcnJyeX8Vv6eGFYTBEEQhP+QGzduYGOjxsfHEUmKJSfnEvn51qjVVoSGVjS7VpIkPvhgCWvW7CYrp4BTF9eToYH0PANpeQZcmvShSk4gASFVWBlfgTc+TKZA+9f9fo6QcXEt8rgDWGhiWP27A9ttK5CTU8SFC+Gm66ysrCgoKCAtLQ2tVmuWwRsgISHBdGxtfe+erEdFBEeCIAiC8BTLzs4mJiaGGjWqAlmEhx/A01ONj09V3N2hV6+W97z3VJSW5cl1yG/fBoWVLU3mpP3fFW4Q1JFwLRBjPFPBRUG3Giq61bSmqqeCGTNk/LAvnsxMKCrKAv4wq+GVV14hJiaGzZs3k5qaysKFC3nllVdM5Zs3b+bChQsA1K5dGycnp3/7Sv41MeeoGDHnSBAEQXgckpKSOH/+PJIkUaNGDXx9fe97fWRkJPb29ri6qomOvsyBA3sZNKgVVlYq04Tr4iRJ4uTJyxw5coHXXhtOToGBT3blsOyE+Y73MiRcbBU428hxtpHj8ud/nW1kuNjKqeuvRKVJ5NSpCAYPHo5c7kxkZCyxsbEsWLCADRs2mLbyaNy4MZMmTWLAgAHs27eP9u3bm57TpUsXWrduzdmzZ1m7dq0p+eSSJUsYNWrUP35/Zf3zWwRHxYjgSBAEQXiUYmJimDZtGuvXrzcFFTKZjO7du/Ppp58SEhICGIObtLQ0XF1dgBxWr/6FoCAX6tevbNrAtbSVZnf16jWFLVsOAbB8/2a+OW5JQpbxvv51lfSqqqVaRTccrGXI5eYrxSRJ4vffTxAQUJkqVeqRkWEgJiae6tWrl5g4nZubS1JSEvb29ri5uZmVTZ06lS+//PKebezXrx+rVq36M9nkPyOCo3IkgiNBEAThUYmIiKBFixamrTz+n4ODA3v37qVevXqEh1/g8OHfGTasNdbWCoqKtCiVlqXel5aWiYuLo9m5OXN+4u33f8Gp3YvYVmsDgL+zgjl97GlaSVWijoSEVK5fv03r1m0BJ44fv4qXly8BAQEP/X0lSWLhwoXMmTOH2NhY03lXV1cmTpzIW2+99Y9Xqd0lgqNyJIIjQRAE4VFp3rw5R48eBcDFxcWUsXrFihXcuXMHuRxCQ324ePE3dLocsrJycXO793ycxYvX8913G7lw4QaJib+ZrpUkiV8OJjNray4GSxvkMhjVXM2UDnZYK2Wma65ejcTFxQlPzyDi4jRcuBBJx46dSUpKYtmyZURHR2NjY0PHjh3p2LHjfXuq7kev13P06FESExNxdnamRYsWqFQlA7R/QiSBFARBEISn3Pnz502BUcWKFTl16hQKhYKzZ8/w9tvjGT68K7duXQPiOXlyP02aNDELjAoKCs1yDgFERd3h3DnjCrGdO48SFtadhCw9Mzdls+eaBJY2hHha8ElfB2r5WaLV6oiNTcXPzxuZzJHw8KtUquSKp2dFfH3Bw6MKU6ZMYcGCBaahO4C5c+cSEhLCqlWrqFWr1j/+7gqFgpYt7z1J/Ekg8hwJgiAIwiO2Z88e0/Hw4UNxcZEDt8nK+gO5PIaJE4djbQ1KJZw8edJ07YoVu2jXbhyenp0oKCg0q7Nbt+YA1K0bgpWVFatOaej4ZSp7rhViqYApHWzZMsGFal7G3qLIyAx27bpBQUEVIJDnnhtGrVp1TPW9+OKLzJ8/3ywwuis8PJw2bdpw8+bNMnwrTw4RHAmCIAjCI5KRkcGJEycoKMjE3R18fMDTMxuIxNFRS58+rbC3t8XDw8N0T2HhX0HQ5s0H2bfvNFlZuRw4cNas7iZNahAfv5NTp3/lqlVD3tyQTU6hRB1/S7a/4sIr7WzZteMYZ84kA9UJCmrP4MEvYmWlBswndB8/fpyff/4ZAKVSyYwZMzh9+jRr1qwx9RZlZGTw1ltvldOberzEsJogCIIglKOrV6/i4GCHj48DBQW3iI4+TLVqcu6u1k9IiChxz8qVm0hK4s8Aysd0fsSIbqxZs5ugIF80mgKzeywsLHB2c2Xiykx2XDIGVBOaSVRX3qSiSwfAk9BQe2xt7QAVFhZga1v6jveLFy82HX/11VeMGzcOgPr169OpUycqVapESkoKmzZtIjk5GXd393/xhp48oudIEARBEMpQZmYmf/zxB1AEpBIRcZikpMPATby8ZAwa1JYuXTpha2sDwLZt21m4cBGZmZnk5ubStu3zfPLJVuLjoahIQZcuXUx1d+zYmBMnfuLmzY306dPW7LlZGgNhP6az+XAMspwkvhnswdg21SjI9yQ31x2wp1KlYDw9Pf/2Oxjbb+xNev75583K7O3tGTBgAAA6nY6rV68+7Kt6YomeI0EQBEH4FyRJ4tatWzg6OuDqqiY9/RoXLx6iSpU8VColPXrUK7HLvLW1NaNGjWbOnK+xtjYmP1yyZAkAqal/XefiEoyLi4vps4WFBY0aVTerKy8vn2Pnovn0lAs3Uwwo85J5rUsIPWrVB6B378B//J3uDrFJkoRWqy2xpUfxob6HXbX2JPvvfSNBEARBKGe5ublERkYCemSyTE6f3kFs7D4gnIAAC4YNa4dKZdyl/v8DI4C5c5fz9tsruXYNCs3nVePoCDY20L17LVatmlvq82/fTiQhIRWw5mKUJWO/vsD12Gzc7VRsmzOO8UOe+1ffr1GjRoAxOJo3b55ZWUJCAqtXrwaMe6bVrFnzXz3rSSR6jgRBEAThAWRnZ2NhYYFareT27YucPHkYf/+2WFgo6N+/kSmB4f/3pNy5k4K3t3m26KIiLXFxxt3n+/YdiaNjEZcvX8ZgMFClShX69OlD5cqVTddLkkRycjoeHi6AHRcvXsPR0Zvb+R68tPY2uqBWVPaw56eRDfB1Uv/r7zp27FgWLFgAwMyZM7lx4wa9e/cmKiqKuXPnkpOTA8DgwYNxdHT818970ogkkMWIJJCCIAhCcQUFBVhZWWEwFPHLL4upXt2H+vUD0GqNW9NbWt67j2Hu3OV8//0mrl+PISVlN87ODqayy5cjqF8/jDZt6jNuXF969mxVah1390m7fTudXbsu0L9/GE5OHmi1WnaHpzJp9QWKdAbqVXDihxH1cVQry+y7v/nmm3zyySf3LPf39+fEiRN4eXmV2TMflkgCKQiCIAjlSJIkZDIZly+f58yZI4SFdUAuz6Nr1xCcnOwBqURQpNEUoFZbmZ2Li0vm2rUoAH777TiDB3c2lVWrFkRa2l5sbIxzeXILDaw5nc/tdD0e9nI87BXEX7mIs50Dvbr0wNfXjl69auLkZFziv+J0PO9tvYIkQcdQD+YNroOV5T/fk+x+Zs+ejYuLCx999BFZWVlmZe3bt+fHH398IgKj8iB6jooRPUeCIAjPLoPBwKZN6wgJ8SI01IPs7ATS0rKoUMHrnpOOv/12DStW7OLq1SiSkn432+9s//4ztG//Mk2a1GDatBH06FEyK3RWvoGfj2n48Wge6ZkaCu9cR+VTFbmlCm1GAjK5HAsHD2yUCjwcrPCws0JpIefgjRQAhjby5/1e1VHIS85rKit5eXls2rSJqKgobGxs6NSpE6GhoeX2vIcheo4EQRAEoYzcvn2bK1cu0KVLY+TyDCpW1OHsrAFysLe3xd6+9DxAd504cYljx4zL3g8fPk+7dg1NZc2b1yYp6XdcXR1L3JeRZ+DHo3ks3nyDvEIDlq5+BLrZ4Gttg32gE9lYk5RtS1JWATmFOvKK9ESm5BGZkmeq47WOlRnfplKpE77Lko2NDUOHDi3XZzxpntrgaM6cOUyfPp1XX32Vr776CjCODU+dOpVVq1ZRWFhIp06dWLBggVmmUUEQBOHZJUkSZ8+excvLBR8fNZaWMVhZJaDVRmFpaUHt2lVK3HPhwnXWrNnD+fPX2bHja7NgpHv3FixbtpPQ0IolkjJaWlqUCIyiE7KZs+IKhzIqoNHJKcjKxs9JxczBdehWwwuFvAv/L69QR1J2AUnZhX/+t4AaPg40reRaNi9FKOGpHFY7ffo0AwYMwN7enjZt2piCo3HjxrF9+3Z++uknHBwcmDBhAnK53LS5398Rw2qCIAj/PWlpaURFRaHT5aHR3OHmzau0aFGT0NCKZtdJksSZM2c5ceI4+fn5eHl507lzZwYOnMH+/WcAuHBhBbVq/bWKLDdXQ0pKBoGBPpQmLS2NnTv3k11kwS1lY7ZczCfz+kmsAutRM8iHiW0r0THUE3k5Dos9C575YbXc3FyGDh3K999/z4cffmg6n5WVxQ8//MCKFSto29aYNXTp0qVUrVqVEydO0Lhx48fVZEEQBKEcSJLEoUOH2LBhA+np6Xh6ejJ48GBq165NZGQkzs5O2NsrmDv3TdavX4W1dS53O30OHqzMiy+OoU2b1gDcunWLl16ayvXrcRTfCWP+/G/w8TFuxiqXyzl16opZcGRrq8bW1nzpfExiDjv2X2Lv+VucvZlNdkYhll7VsaoAKKyp2aw9b/WsTdsQ93IfEhMezlMXHI0fP55u3brRvn17s+Do7NmzaLVa2rdvbzoXEhKCv78/x48fLzU4KiwsNMvymZ2dXb6NFwRBEMrE7du36devH6dPnzY7/+WXn9O7dxs6dmxHgwZBLF++iP37D6L+v9Q/16/f4LXXXuO1116jRYvmNGgwlIwMHWBMwqhUggRoDXJuRl+lc++mzPn0HewcHQlP1FKohSK9RHqegcgUHeeuxBGfLeeO1pG05DTyo6JQV26GvIoa2z9XvxXEXiHr2CoSE64i1duGrGp7hCfTUxUcrVq1inPnzpX4nwEgMTERpVJZIhmVh4cHiYmJpdY3e/ZsZs2aVR5NFQRBEMpJWloarVu3JirKuExeqQS12vhfb2+Ijt7P4cOJqNWdOHDgIDIZyGTQqlVrAgIC2L37EPHxkQB88cXnHD9+DJWtEmun2qgq1ERWrwXZlq5oDX/16lwDev2gA4x7exi0Behz0rB0Ng6naW6GI7d2wMrXHrmNIyr/ahQmXEeRl0qDKv74qvXsPfsjSdHXARg6dCjR0dEltuUQngxPTXAUGxvLq6++yu7du7Gysvr7Gx7A9OnTmTJliulzdnY2fn5+ZVK3IAiCULays7PJzs5m8eKFpKRE4eQEISHuzJgxgaCgSly4cIElS74nPT2Da9eukZiYYLp33rx57N59mTlzNpKRkc2bM4eydv81tE412aGtiWrwNNxlxjxB2QCGks+XFeVgrbRAbWuDITuPvIzrBIVUJNjbhQpthhDs6YCqMJMuLephKCrA09OTc+fPmzZ61c6cRNeuXdmzZw/JycmsWbOGESNGPII3J/xTT01wdPbsWZKTk6lbt67pnF6v59ChQ8yfP5/ffvuNoqIiMjMzzXqPkpKS7rkDsUqlQqVSlXfTBUEQhIeg1+uJi4vDw8MDKysZ4eHHuHHjCsePL6JyZZDJ5Kxd+z0+PsbemypVKhMSUoUXXhiFwQAZGZkA1KtXl0aNmzBvZTiaSl1w8K/JT1lVMNQ1n+9jL8+maz0PGldUUtvPEhuVjPzcHPr07oq2UIsML775ZgktWnRGrzeg1w9CqTTPSP3jj7swFBlXrY0bN87s54+lpSVvv/02e/bsAWDfvn0iOHpCPTXBUbt27bh06ZLZuZEjRxISEsK0adPw8/PD0tKSvXv30rdvXwCuX7/O7du3adKkyeNosiAIgvAP5ebmkpeXh4eHG1ptGr/9tpJ27WoRFOROzZr2VKgQyty56QA0aFDPFBjddeTIdWJilGRlFVG9pgU619pEuQ6g0ccppNp0xeHPHwcGwLIwGXnqRSwz/sAi/RL9ujZnRt8ZpgzZkZGJ7NhxhhvXisjJgerVnWnUqB0gQ6FQoFCUzEidn59vOi4te7S3t7fpuKCgoET5/URGRrJkyRIuXLiATCajYcOGjBo1Cl9f339Uj/D3nprgyM7OjurVq5uds7GxwcXFxXR+1KhRTJkyBWdnZ+zt7Zk4cSJNmjQRK9UEQRCeUJIkkZKSgrOzMxYWEmfP7iUlJZZ+/ZphZWVgyJBmptVgVlYqCgr+6qnRaDQl6tt94A/y3Rvj2KwxGZXqg6WaHAOQa8DeSkaLSgpah6hx0kYzbcILgHE+kiTB7t27CQpqQHBwDerXb4W3dyi3bx/kzz1WadasmamnKCkpicOHD1NYWEhwcDANGjRAJpMRHBxsasvatWsZPXq02Yq0tWvXmo6LX/t372jmzJl8/PHHFM++s2PHDj788ENmz57Na6+99kB1CQ/mqQmOHsTcuXORy+X07dvXLAmkIAiC8OTQ6XRoNBrs7e3Jykpg06bldO5cD39/B+rXd8HS0oO7k37+f5m8g4MDer0TUVEZXL16hSlTLuJfqQY7Lxfw25UCLlYch1vQXz06soI0lCnHqeuewwcvPkdQxQqcOnWKj+d8DIBWC66uAdy8Gc2NG3lMnTqfsWPHkpAAW7Zs4YcffjDVNXbsWJKTk5k8eTJr1qxBp9OZyqpXr84nn3xCp06d8Pf35/bt2+zevZuXX36ZN954AwcHB3755Rc++OAD0z0jR458oPf18ccf89FHH93zXb7++uvY2toyduzYB6pP+HtPZRLI8iKSQAqCIJSPoqIiLC0tkcng9983UViYQY8e9QEtycnpuLk5lZrz5+4QV3Ghob25Fn4H68C6+LbshM6jIQaKBUS5sahSTvB8uwps+flTCosNX8nlMnJzJSQJNBpwdg5i6tR3mD79LeLj4+/Z/ilTpjBt2jSaNWtGREREqdfIZDJ+/fVX5HI5Q4YMue/7GDt2LAsXLrzvNWBcmefr60tBQQEymYy33nqLMWPGoNVq+eabb/j6668BcHZ2Ji4u7pld/fbMJ4EUBEEQng53A5u0tBQ2blxJz55NcXe3oH59B8ABSSpCJpPh7u5sdp/BYGDBgrVs23aEwsIi9u9fbCq7maSjUr/XyU53wsLWmaI/zyuyb6FKOoIy+TgKTRwdOrRn2osTaF3TnalT3yA9XYOFBWRmSqSmQkEB1KhRg61bt+Pn50eLFi15/vnnOXjwoFlbbG1tmTZtGm+//TZhYWGmwMjJyYmRI0fi5eXFmjVrOH36NJIk8eKLLxITE8OCBQt49dVX0Wq1Jd7LqFGjmDdv3gO9w5UrV5rmJo0bN84sv99XX31FQkICa9asIT09nU2bNjF48OAHqle4PxEcCYIgCGXu8OEDFBVl0K5dLZycMmja1Ivc3Bh+/XU9O3fuJCMjE2trK1q1as2QIYOpVq2a6V65XM6CBeu4di0KuVxO9J1MDt9Wsu5MPhfjtEAQFrZgRT7y2N+xjNuDRa4x55GVlRUDwobTuXNvkpPTady4HYsXb2XOnEXExCRgaZlH7do+DB8+nN69e5vmEAUEBHDgwAEuXrzIb7/9Rl5eHgEBAfTt2xd7e3tSUlJYvXo1AI6Ojly4cAF/f38Apk6dyvDhw1m+fDn5+fksXbqUN954g169erFkyRKOHDmCVqslNDSUF198kdq1az/we7x+/brpeNCgQSXKBw8ezJo1a0pcK/w7IjgSBEF4SkRGRnLu3DkA6tSpQ1BQ0GNu0V+ysrI4eHA/bdvWxtZWh49PNgaDDMhALoe8vHReemkyGo1xNZckwZ07BSxatIvvvtvFggVv0r9/PwwGifhMPfW69yfO9gZOQbXoMD8frcHYe2IhhzYhKvrXs6Z1FQ9ysvpx5IgnKSlpgCUDB/bBzs6b9esP4+vrgYdHCNWqVeHXX9s80FYdtWrVolatWiXOHzt2zNQLNGLECFNgBMbhtLfffpvly5cDcODAAd544w28vb155513/tV7LZ5uJiUlpUR5cnJyqdcK/44IjgRBEJ5wV65cYfLkyezevdvsfIcOHZg7d65Zr8ujFBMTQ35+HiEh3qjViahUcRQV2QMOVKz41xL7lJQUXnttqikwUqmUBAZVZePebGTuPihd/Xhrm575EbdJzFNSqAPkLXFu2xIArQEqOBQR1tyZXnWscbVVIEkSd+6kYGNjTa9e/YiIyODAgYtYWtYH1PTsWQFLS0uAMtm/rPhWU25ubiXK3YttyFb82n+rdevWfPHFFwB8+umndOvWzRQE5eTkmDZev3utUDZEcCQIgvAEu3DhAq1atSp178fdu3fTtGlTDhw4QJ06dcq9LQaDgfj4eDw9PbC0LOTOnbPk5CQREtIQS0vo1KlkTrno6Du89tqHREZqcA4KwrNOb2wrteVkvIR72F/XaYGYLOOxTNIhz41DkReLIi8WZcoJcnMi2X2xMjWmTMO1YW1kMjsOHDhJ5co1adCgJgEBOsLCmpiGye4GRmUlJCTEdLx27VqmT5+OXC43nVu1apXpuEqVKmX23C5dulCxYkUiIyM5efIk1atXJywsDJ1Ox9KlS4mNjQWgXr16Im1NGRKr1YoRq9UEQXiSSJJEzZo1uXz5MgD+/v6mjMq//PILMTExAFSrVo1Lly6ZekjS0tK4fv06CoWCatWqYWtr+6/akJ+fj1qtJjc3mRUrltK+fQ0qVvQodSVZcdFJedTu9CGWfrWwCqyNQu1oVq62lPCwLiQj+gxFqTdQ5MXh72Qg4eY5ZBiQJONSe4UC9HpISQGl0oVz567g6uqBRqNB/f87ypaj+vXrc/bsWQD69u3LzJkz8fT0ZPXq1UyfPt2Ud+nMmTPUq1evzJ57/Phx2rdvX2peJzBODj906FCJXIDPkrL++S2Co2JEcCQIwpPkwIEDtGnTBoCaNWty7NgxbGxsAMjLy6NZs2ZcvHgRMG5F4e/vz4wZM1i/fr1pfoytrS1hYWHMmjULV1fXf9yGI0f2kpgYSb9+TYECsrJycXD4K9iSJIncQok/rsUTm5yLR0BFTkQWcehGIdcSdGZ1yfT5tK/hSMvKKloGK/F3Vpjm6+za9RsABgPodODr686LL07h1q1c5HJrvv12iWmj2ffee4933333H3+Xf2vv3r106tQJvV5/z2sGDx7MihUryvzZ586dY/LkyRw6dMjsfKdOnfjqq6/MeraeRSI4KkciOBIE4UnyzjvvmJIG/vzzz4SFhZmV//rrr6ZzY8aMYd26daSnp5daV6VKlTh8+PA995q8Kz8/ny1bNtC8eSg+PlZcvnmLFbsuEplni0ZSo7J1Q6dQk6UxkJUvkakxoL/HTxGZDHzVBSSc34ki+QQOugh+27kNJycn0zUGg4Fu3XqRmJiAwQDJyZCdDceOnaVWrbrk5eVhY2PDzZs3CQkJwWAw4Ovry+3bt8tkLtE/tWHDBp5//nly7qbNLmbo0KEsWbKkzDZHL014eDjnz583bR9SsWLFcnvW00TkORIEQXgCSJKEXq/HwqL8/hotPrHXw8OjRHnxc2vXriUjIwMAFxcX+vbti0ajYcOGDWg0GiIiIhgzZgxbtmwpUU9ERARJSfE0a1aVzKJkYgpzObk3hiO3CkkutAVq/3VxFhhnCJmTdEXo83MI8nOiXkU1rSqraF5JhYutnK+/LuKXX66gx5jteebMmRgMMmxtrZk3bwnHjydQVAR3tyWrWbMmtWoZNxm/21MWHBxMkyZNOHr0KHFxceTk5DyWf8T26dOHtm3b8vPPP7N//34KCgoIDg5m1KhR/2iJ/sMKCQl55nuJHgXRc1SM6DkSBOF+JEli165dzJs3j71796LVavH392fkyJFMmDDhoYat7ueHH35g9OjRgHGriR9//NGsfPTo0WbbW4BxKfrBgwdxcHAAjCvKGjVqRFJSEgA3b96kQoUKXLp0CR9/H7L1hWw/fIqjf8SQYBNKXIahRDsUuTEYkq6Sn3wHqSgXd4ccHNVyPp41nWB/d37+fjWrlm9jyJDOjBzZE1dXR7P7ExIS6NOnL4WFRchkkJNjhYtLIImJmURHJ5iuk8vlGAwGKlasSERERImeoZo1a5o2IM/Ly3uk842EJ5sYVitHIjgSBOFeJEli8uTJpu0a/p+Pjw979uwp03/VZ2dn4+PjQ25uLgDTpk1j3LhxyGQyFi5cyJw5cwCwsLAw7fO1bt06+vbta6ojt1DHO5/MY9Evq1DYOtO2XxjWrt6cO7ALjVMwFg7mw2xyGQS7Gog5swWLjCtYZl6hW/umLF58nNTULGQyqFEDLCygQ4f2zJkzB71eX+oO9XcnbGs0BbzzzmKWLVtNamoRpU3Z+eSTT9i6dStHjhwp9Xv89ttvdO7cGTDmeLqb70kQQARH5UoER4Ig3MuiRYsYN26c6bO3tzfe3t6cO3cOg8HY21KxYkWuXLlSpnNOPvvsM9544437XlO/fn3OnDkDwLnz50lXefHr8WjOX48hU2+JzEJJYcJNdBl3sAltBfwVuNgoZVT1sqBRRSX1K1igvXOdX35cyrVrRwEYNeoFXn75ZaZM+ZK5c1fg7GxPQIAeyMPCQsGOHTtwcXEp0aYzZ8JJTMyne/c+gAPXr0eQm5vLwoULWblyJRqNBoVCQdeuXZk8eTJt2rRh1apVpu0vLCwseP7552nevDknT57khx9+oKjIuFnI999/b+pREwQQwVG5EsGRIAil0ev1VKpUiejoaADmzzfu3K5QKIiKiqJXr16m4Z5ff/2VYcOGldmzJUni/fff5/333zcFYXfJ5XJmzpwJwPuzP8OmRjv8W/QnT+WMpNOSe2UfVj6h2Lq6okuLRF6YRKem1WjbsDIVXBRUcFHgYiNHJpNhMBioVm0A4eHRqFQKqlbVI5fDnj27cXJy4saNGG7ejKVjx8Z8/fVXrFxpzOszb97XNG7cmH37DrBo0Qry87VYWrpSs2ZzunXrUWruHZ1OR3Z2NjY2NmZZnQ0GAwMHDmTdunX3fB9du3Zl8+bN5TrXS3j6iOCoHIngSBCE0pw8edL0Q75jx4789ttvZuWHDh2iVStjj0y3bt3Ytm1bmbchKiqKJUuWmHqI6tevz+jRoylUOfLt75fY/EcyRcnR6LOTca3RjKFNbGnspeHGub38sMg4FGhvb8eOHTuxslKRkJCKt7d5puchQ95m5UrjdwsKAgcHYzoBOzvzPElff/01v/zyK0VFMHbsePbvP8LevRfJzDRvs729PatWraJLly4P/D21Wi0zZ87k22+/NQ0nAqjVal566SVmz54ttskQShDBUTkSwZEgCKXZunUrPXv2BGDWrFkl9ssyGAymOTcNGzbk5MmT5doenU7P4VtpLNkfzq7N67GqUBNLR09kaeGoYrejTjuGUqHHYDCg1//V2/TKKxO5dCmD1at3o1RasHHjh8TExGBpaUGtWrU5fz6CBQvWYWNTyPXrp1EoYNKkVxk+fDhg7MW6dSuWl18eQ0xMKsnJ4OxcgcjImHu2VaVScfjwYRo0aPCPvmNOTg47duwgJSUFFxcXunTpgqOj40O9L+G/TyzlFwRBeMSKz6k5depUifLiwVBp82/Kit4gMfuXraw+eJEcD+NSd2u/UNrVdWdkCzt2/LSTvef2A8b9yIoLCxtOWFgYHTqMJy7OuHJt4MCR3F3wJZfLaNmyFUuWvEl2djaDBw8B4JtvvuHOnUS6dOnE7dtpTJv2FTdupKLTQe3atblw4QJgnIO1YMECunXrRkREBG+88QZbt26lsLCQWbNm/ePeNDs7OwYOHPiQb0oQ/h3Rc1SM6DkSBKE0Op2OwMBA4uLiAPjpp58ICwtDJpORkJBAz549TcNdP/74IyNHjiQyMpJFixZx8OBBioqKCAkJYfTo0bRt29Zsifq5c+dYuHAhx48fR6/XU6NGDcaMGUO7du2QyWQUFhZy6NBBLFzd+PJIOufD45EKNTj7+jOwvjVhTdT4uxj/nStJEqdPn+aTTxZz5kwEWq3Eyy93pF+/fqZVdK+88gHz52/Gzg68vODPNEImHh7u/PjjjyxdupR169aTmQnp6cYcRMX3U7W3t6dGjRocPWqcuP3777/ToUMHU3lRURGVKlUiNjYWmUzGnTt3/jYBpSA8LDGsVo5EcCQIwr189dVXTJ482fS5UqVK+Pr6cuzYMdMqKj8/P8LDw1myZAlTpkwpdZuJ7t27s2rVKtRqNdOmTeOzzz4r9Xnt27dn69aVFBiyGTd7LUcyPFHYumJnJWNSe1sGNbDGRiUv9d4aNQZy+fItAOLjd5rmFuXk5NKpUxfy8vKxsIBq1ULp2LEj2dnZbNq0ibS0dCQJPD1D+fLLb1m+fAtz5nxjShNwV+XKlVmxYgUDBw7k1q1b2NnZkZWVVSIv0csvv8zChQsB4/5gYmNUobyIYTVBEIRicnJyyMjIwNnZ+V9tsPp3XnnlFa5cucKSJUsAY1bpiIgIU7mbmxtbt25l06ZNvPrqq2b33k1uCLBt2zbCwsJo3LixWWCkUChQKBTIZEXY20P49T28+OFHXLPqSKq2OgpbeK6OFW91tcPNTkFCQiq/bDpAcnI67747xux5ffq05fLlW9jZ2XD58i1TcLRjx3YKC42BUbt2bZkzZw5yuZzbtxPx9g7lgw/mcPNmKufPX+WDD+z44IMvmTBhGsuWLePWrVtYW1vToUMHOnbsiFwuNyVhzMvLIz09vcSQ4t2eNgBra+t/+1sgCI+OJJhkZWVJgJSVlfW4myIIwt/Yt2+f1KVLF0kmk0mAJJfLpR49ekiHDx8ut2caDAZpzZo1UosWLSRAAiQXFxfptddek+Li4iS9Xi8FBgaayiZNmiQlJydLRUVF0q+//irZ29ubyuzs7EzHc+bMkhYsmC2dOrVK2rZtllS/baAUNPojqcK0bVKFaduktp/vlI5GHJUk6YwkSWckg+G05O3tJgGSlZVKys09bCqTpDNSZORmafv2r6SCgmNm5994o51Uty5SnTpI69d/KCUm7pUkKUqKibks/f77b9L06dNNbVq+fPnfvo/Jkyebrh8/frxkMBhMZUePHpXkcrkESJ6enlJRUVE5/I4IglFZ//wWPUeCIDx1vvnmG1555RWzcwaDga1bt7Jt2zYWL17Miy++WObPlclk9O/fn/79+1NQUEBhYSF2dnbI5cbhrQMHDph2jm/Xrh1z58413Tts2DCys7MZP348APn5OdjZwdix3Zk2rRvp6VlY2dhy8IAHaQ3qYEAO+kIa211nQhMvmga5mbWjR48WLF68gYKCQvbuPUXPnq1M5YGBPgQG+pi1PSsrl6SkTLRayMyEpCQ16emeeHgE4O8P/v7VuHLlqun64vu63cu4ceOYN28eer2eb7/9lhMnTtCtWzdu3rzJ2rVrTb1l48aNw9LS8h++bUF4fERwJAjCU+Xo0aNmgZGfnx/169fn1KlTxMfHI0kSY8eOpW7dutSrV6/c2mFlZVUiE/bdwAigV69eZmXGLTYknJ3BzQ2srECvh7ZtG6PVS5yIVzF7Zzqx6XpAjmXKKdJ2L2ZtfDKHFrkQG7vdbIuOsLBuuLs789xzraldu0qpbUxOTkettsLW1pH4eD3p6S78mauSzMwCqlYNNV1rMBhYtWqV6fODbIMSHBzM/PnzTZnDz549y9mzZ82uadOmDdOmTfvbugThSVL6bD5BEIQn1BdffGE6fu2114iKimLDhg1ER0czYcIEwPiDvnivzaNiU2zpV3R0NDExMfz++w4gGYUiAkfHZHx8jCvEFApQOHjw60Ubms5J4eXlmcSm6/FykDO+Vix2F97HkJ2EwSCRkJDKwYPme4k1bVqL998fS506IaaJ0AaDgYyM7D+PlezceYUbN+RADSpXbsknn3xluv+9995jzpw53L59m/PnzzN48GBTSoLQ0NAHnjw9duxYNm3aRK1atczOOzk58eabb7Jjxw6RtFF46ojVasWI1WqC8GTTarWo1Wp0Oh0eHh7ExsaaDdcUFBTg5eVFZmYmarWa3NzcEiuoylNiYiJ+fn4YDDoCAuxYvnwRGk02LVvWwWAwMGnSJE6cOkeRWyMKfTujdaljulehzePlTu4MqycxacJL3Lhxk4wMyM62JyysOy+/3J9KlfxKPPPuSjILCwvOn4/mwoVYwsJeRKGwITMzEwcHB7N3MG7cOBYtWnTP7yCTydi2bRtdu3b9R99dkiQuXbpETEwMdnZ2NGrUSEzCFh4ZsZS/HIngSBCebJmZmTg5OQHGOT179uwpcU2zZs04duwYYJw3o1Qqy7VN+fn5JCYmEhjoD2TSu3dXrl8/hVoNVlYq2rdvj6OjI9sPXSZOVZdC73ZISkfjzZKBotvnyTr3G5qIU0wc34rLl0+TlWXs/fHz82Pt2jUl5usYDAbkcjl6vYFly/ZRv34TqlVrTF6eFo1Gg5ub+bYgxel0OiZMmMDixYtLlNna2rJkyRKRfFF46ojgqByJ4EgQnmx6vR57e3s0Gg0ODg7ExcWZLd/PyMjA19cXjUaDk5MT6enp5dKOoqIiDAYDVlZKwsNPcfTofoYPb4tSaUFmZiYvvfQSERG3kJBR5N6UAr/u6JxrmO53stLRp46SE8vf4o/jF4iLA5kMKlQAZ2fjNQ4O9ixevJjg4GCzZ1++fIsrVxIYOHAY4EBERDTu7u7/+O+s8PBwfvjhB65du4ZKpaJly5aMGDFCbNEhPJVEcFSORHAkCE++F154gaVLlwIwYMAAFi5ciLOzMykpKbz44ots3rwZgPHjxzN//vwyf74kGVi5cilBQc40ahSATleEXm9ApfqrhyozK5vXv/mN/ckB6NTGoTDJoKcg8ixvDw7k5d7VsVDIyMzM5PPPv2bdut+wsipCoTAOj7Vv346xY8fh5+eLXq/n4MFzBAVVoUKFGqSm6klMTCE0NNS0Sk4QnnUiOCpHIjgShCfflStXqFevnmmpuUqlIjg4mOvXr6PVagHjDu4XLlwo0evysOLi4jh27AB9+jTHwiKbuLg4nJzssbExn1Oj1Rn45WAKy8/LiUw1ZsdWWxpwTT/NsV8XoM9JY/Hitxgzpo/Zffn5+dy6dQuDwUCFChXQ6+H27URq164DOLNv30UCA4MJDAwsk+8jCP81IkO2IAjPtGrVqrFmzRoGDhxoyjV0+fJlU7larWbDhg3/OjC6cuUK1tYWVKzohL19Ar6+Reh0d7CwUOHr62F2rVYvMe6T/exNcEOycQP0OKpljGpmw4hmam5dq8KM6BAGDOhAr16tSjzL2toab28/LCwU2Nu7cOtWNlevFhEaGoRSqaRt247/6rsIgvDPiJ6jYkTPkSA8PW7dusU333zD2rVrSUtLw83NjYEDBzJhwgQCAgL+cX0ajYZbt25RvXpVZLIc9u7dip0dNGxY7Z73FOok1p/NZ8GBPOIyjD1Fek0WvUMKmT2qOrb32Pvsrry8fGxsrJEkC1asOEjFitVp0qQtBoMBmUz2SFfaCcLTTAyrlSMRHAnCsyUuLg5LS0s8PBxITLzJjh1b6dOnGY6Ope/RlpOTx/r1+9i//wzPTZrGJ7tyScgyZoG2t9QR/dvP1LCO4923R9CxY+l5giRJQiaTcf16PIcPhxMWNhql0pnMzEzs7e3FPCJBeAgiOCpHIjgShP+2/Px84uPjqVQpCMhh06Y1ODtb0LJlDSRJQq/XY2Fx79kGnTtP5Lc9p3Fu+yJ2dbsB4GEvZ2wrG/rVUZKZloafn+c979+8+TD+/pWpU6clGo2MlJRU/Pz8REAkCP+SmHMkCILwD2i1WnQ6HdbWShITr7F//068vdugVqvo0qWaaZWZTCYzC4yio+8QEOBtVlfnPt246N4PlXcVQOKVtra83MYWK0vj8Jed2jwwSkhI5dy5G3Tp0gO53IVKlVQ4OTkDtqjVUKGCDYIgPHnEP1cEQfhP27x5FadPbwH+wN9fR1hYW9Rq43YWxZff37VmzW7q1x9OxYq9uH070XT+yM1Cfk6ojcq7CjaWBpY+78SUjnamwOiuK1ducft2MuCCUlkFlSqEwkIPwI5q1arj7W0ecAmC8OQRwZEgCP8pKSkprFu3ioKCKOAyTZu6UaeOF2BAoVCYBURara7E/bdvJ3L27DUkSWL58p0YDBLf7s8l7McMMvKhmrcFuya70ybEuOlsYWERERGxGP86dSYmBlJS3IAAXFwCaN++g9hGQxCeMiI4EgThiWIwGNi5cydhYWF07NiRQYMGsWbNGoqKiu55z+3bt7l1KwLIwM4uCWfnTHS6OKAQb2837OzMh6/Wr99Ljx6TcXZuS2pqpllZt27NAahfPxRPP1/G/JrJZ7/lYpBgQH1r1o9zwcseNJoCQEZSko79+6PJyakIBNKlS3/q1atfpu9EEIRHS8w5EgThiREfH0+vXr04e/as2fnVq1dTsWJFtmzZQrVqxqX1f63uKiAq6iRFRWkEBTXAygratm1w3+ecPHmZbdsOA7Br1zGGDftrk9WQkABu3dpEobUH45ZlEp1WiFIB7/eyZ1BDNQAbNpzGycmXNm164OsrY9iw+qbeIbH8XhCefqLnSBCEJ0Jubi7t27cvERjdFRkZSbt27YiPjyc7O4M1a37g9u19wDVatAigQwfzgKiwsIi1a/cwbNhM9Hq9WVn37i0A8PR0+bMH6C8ymYyLWS48tyCN6DQ9Po5yvhsgR7p1HI3GEahB06b9qF+/HaBALpeLYTNB+I8RPUeCIDwRlixZQnh4OAABAQF8+eWXtGrVinPnzvHaa69x8eJFsrKS+PHHmcycOZGuXavi5WVPToGBfeGFFOkkLBUyLBRgIZfx1dxfObj/NBj0NFp7kaZNqgOQnS+Ral2Z91aswcbZldv5EuNXZJKpMZCRZyBTY+BOlgFtejz1/BT8NLENNhaOnM6xw2DwAJR4et57ub4gCE8/keeoGJHnSBAen5o1a3Lp0iUALly4QPXq1bly5Qq+vh7odEm0a1cfnU6Lu7sNe/fuxcLCgsvxWsavyCQmTf83tf89SVeENuMOls6+yC0s6O6eSp86/rRp3eZf1y0IQvkSeY4EQfhPun79OgAVK1akVq1qSFI6V67sRan0JyQkgNat63Ps2HFyc/NIT89gT5QN727OQmuQoc9Jo1EVB6zUarR6CZ0BtDqJqJgk7B3sUVpboTOAJIGDtQwntRxHtRzLwkzsVQYq+HujkuD8wet07lKZmpUDcbezesxvRBCEx0UER4IgPFYZGRlYWVlhY6NErS5CJkuiqOgMSqUlAwc2N2WPTk/PAEBSWDHrN9h+JRuQoYk4Rdr2LwkY35vPP5/0f7W7mn0qLCzi9u1EKlXyQyaz4/ffUzAYrOncvBkAA5s0um+GbEEQng1iQrYgCI+cRqMBQKfTsHHjz9y48TthYbUJCAB7+zw2b94MYAqMDhw4yPHj4RRa+aFpPp/tV/Qo5PBKSwuyts7Bxc7ynvuh6fV68vLyATmZmQr2748mPd0PqELr1n3o3LkXAKmpqXz55Ze0bt2aevXq0adPHzZt2oROVzIXkiAI/21izlExYs6RIJS/8+dPcfnyKYYNa4dMpiElJQNnZ3tOnTrFhAkTTde1aWMMUjZvPsj69WdQVW6NS5cJyCyscLeT881gRxpVVHLy5GXq1KmCUmlZ6vN27DiDTOZAly79kSQ5BQUFJVaXbd++nUGDBpGbm1vi/vr167N161YxCVsQnmBi49lyJIIj4Vly/fp1rl69ioWFBQ0bNsTDw6NcnqPX69m8eT3Vq/tRubIzWVmJ5OTk4ePjbpYTSJIkPv30U1avXkvxVEGaQkuSfcdgV7sLAE0rWjJviCOutopSn5edncvu3Wdo164zjo4VSU7OQalU4ujoWOr1p0+fpnnz5vdNMlmnTh1OnDiBUllyuxFBEB6/sv75LYbVBOEZc+rUKVq1akVISAh9+vShZ8+e+Pr6MmTIEO7cuVMmz4iLi2P//j1AKgpFJBUqFOHgkAPk4uBgi6+vh1lgFBOTwMyZC/npp9M0bNgJV1cXAPTWXhS1/NwYGEkGulXI4JdRTiUCo4SEVMLDowEHbGyq4+RUG0nyBqxxd3e/Z2AE8N5775kCo969e3Pz5k30ej3bt2/H19cXgPPnz7N+/foyeTeCIDz5RM9RMaLnSPiv27t3L926daOwsLDUcn9/f44cOYKfn98/qtdgMHDjxg2cnR1xd1cSG3uFq1cv0q5dgwea4HzkyAVatBgNQM+eLVm6bDafbbzFxusOFOgVOKllfD3IkZaVVaZ7cnLyUKmUKJW2nD4dx507efTq1fcftTsxMRFvb28kScLPz4+IiAiz3qG9e/fSvn17ANq3b8/u3bv/Uf2CIDwaoudIEISHUlBQwJAhQ0yBUXBwMO+88w6TJk3C2dkZMO5RNm7cOMD4l80XX3xBaGgoFhYW2NjY0KNHD37//XckSaKoqIi4uDjAgFyezR9/7CYh4SAQhZ+fmk6dmpgFRpIkcfbsNV5//WuOH//DrG1Nm9bEy8sVhbU9cY6Naf1FJiuvOlOgV1C/giU7X3U1C4yKivSsXn2MiAgFUJ169TreNzCSJImYmBguXrxIUlKS6Xx0dDR3/33YrVu3EsNmbdu2Nf1FGxUV9c9euCAITy2xZlUQnhFr164lOTkZgHbt2rFz504sLY2TmKdNm0bdunVJSEhgx44dHD58mFGjRnHz5k3T/RqNhm3btrFt2zYmTBjPuHHDOXZsP2Fh7VAq5fTt2wiFovR5QACbNx/kuedeAyArK5cmTWqaylLzJHq/N5/9sbakaYECiYpuCl5ubUvv2lZYKGRERMRy5UocvXoNRKl0pnNnb9M8qbur2v6fJEksW7aML774gosXL5rOt2/fnrfeegsXFxfTudu3b5e4Py0tzTRJW2wRIgjPDtFzJAjPiH379pmO3377bVNgBODp6WnqMZIkiSFDhpgFRtWrV8fDwx2VCjw84PDhbzl7dhWDBzdHqTT+NVI8MIqOvkNSUprZ8zt0aIRabUysuGXLIfR6PXEZet7ZnE3zT1LYEWlLvhaqelnw7RBHdk92pZo6kdSUTMAdO7taeHo2QKdzAhT4+vqafYf/J0kSkyZNIiwszCwwAtizZw/t2rXj5MmT+Pj4ALBz504OHz5sdv+7776LwWAAoGPHjn/3igVB+I8QPUeC8AS4O7RTnju65+fnm469vLxKlBc/ZxwuM85BmjBhNFOmDEOS0vn++x9YvHghCgUsX76MQYMGIUkSmiKJvEKJMxcjee+97zl/PpyJEwYw6dVByGQgl8uQoWTyWy/j7GxPs7bNeHNDLhvP56Mzxh7U9bdkTDMLgm2zCQpyBxy4du0KgYGBeHr64eEBHh6BD/x9V69ezbx580yf69evT82aNTlw4ACRkZFIksS4ceOYMGECX3/9NZIk0aZNG/r06UPlypXZsWMH58+fB4yB393gURCE/z4RHAnCYyJJEhs2bGDBggUcOXIEnU5HaGgoL774IqNHj0atVpfp84KDg03H69ev5+233zYrX7dunelYpQJXV1iwYCKpemfe2XiTpDw5eYrnoGNdMvJ1pCvU1JyVTIFezl/LOuygwRR8GsCGItjwWer/taIt5MC8pX9NCG/kp2dMSxvaVnfi1q0s9u+PwcenI1ZWanr3DrjnkNnfmTt3rul40aJFvPTSS4AxtcCECRNYtGgRer2e/Px8OnTowO7du9Hr9axdu7ZEXQsWLKBSpUoP1Q5BEJ4+YrVaMWK1mvCo6HQ6wsLCWLlyZanlNWrUYPfu3WWae+jWrVumH/BKpZJPPvmEESNGEBcXx/vvv8/WretwdgYbGwUKW3tkQZ1wbTCc2IwH+ytCJgMbpQxNngaDBJaWFlgqLZEkGQZJQpJAAgwSoC+iTagd49vYc/XwMQIDq9K0aQd0OgM6nQ4rq3+3r1lycrLp3dWoUYOLFy+a9cplZWXh6elJQUEBvr6+RERE8NFHH7Fw4UJSU/8K6OrVq8d7771H9+7d/1V7BEEoXyIJZDkSwZHwqMyYMYOPPvrI9NnPzw97e3uuXLliOteiRQsOHjxYpkNt48aNY9GiRabPlpbg4ABKJbh6qtB5NcMiuCdZqr96SWyUMrrWsKK2vyW2Khk/LP6O37efRyrKJ6SSG7t3fo2tSoa1pQyZTEZOTh52djb3bMPNm3EcOhROWNgoLC1dSE5OwdHRsUwTLEZERJh6ygYMGMDq1atLXBMcHExERAR2dnZkZ2cDUFhYyOnTp8nJycHf359q1aqVWZsEQSg/Zf3zWwyrCcIjlpuba5oLo1AoWLZsGQMHDkQmk3Hu3Dl69OjBnTt3OHz4MEePHqV58+Zl8tyCggLmzZuHXl/IqlVLcXAAN3cZWsdqFHq3I9ujOZLFnyuyJAMW6X/gmHme919sQ9eOjQE4ePAgd07/CslQVAjplrnYKrSolX/19JQWGP3++0k8PCpQq1YzfHxCaNWqGnK5EyDD3d29TL5fcR4eHigUCvR6PQcPHqSwsBCV6q9UABEREdy6dQvAlOgRQKVSldn7FgTh6SVWqwnCI7Zz505ycnIAeP755xk0aJCpd6hu3brMnj3bdO2qVavK5Jnx8bH8+usi8vMv8913E9iz93vavfAa+W1/IqfBHIp8OiBZWBPoqmByO2v8LrxOzE8zOLtuPWFDXmHChAkMHjyYKVOmIkng6wtTp/YgJmaraQVacWlpmRw4cBaDwQ4IxM2tIQ4O1QBH1GobKlWqdN9l//+WnZ0dzz33HABJSUmEhYWZ8htdu3aNIUOGmCbBh4WFlVs7BEF4Oj01wdHs2bNp0KABdnZ2uLu707t3b65fv252TUFBAePHj8fFxQVbW1v69u1rlvBNEJ4Exf9MltZL0aJFC9Px3bxED+PYsaOcOLEHiMLDI5EWLfxQqQo4cL2Ad4/5caCwNfkKF+xUMgbWU7F+nDP7prryagcHFs+daQrY0tMNHDlyghs3/lra36dPW+bMedtssnRsbCKJiamAHQaDNxkZzmg03oAzderUJyAg4KG/y8N48803TUN1a9aswdvbGx8fH0JDQzl9+jRgTGHw4osvPtJ2CYLw5HtqgqODBw8yfvx4Tpw4we7du9FqtXTs2JG8vDzTNZMnT2br1q2sXbvW2P1/5w59+vR5jK0WhJKKJx48c+ZMifK7P7gBU+bqB5Gbm8vhw4eJirrM/v2/cOvWTiQpGkjHwkJOgY03I37O5fmlGVxL0GGrhHqW4eg2TEF7fCn1KihNAVFoaAgjR/aiZk0/QkOtTBvBhoRU4Z13ZjJ79mwUCoUpl9GVK1FMmfIV/fu/x6BB77B163E6deqKra3tP39BZaRevXqsXr3aNLnbYDCY7R3n5eXFrl27zH4/BEEQ4CmekJ2SkoK7uzsHDx6kZcuWZGVl4ebmxooVK+jXrx8A4eHhVK1alePHj9O4ceO/rVNMyBYehYyMDHx8fMjPz0elUrF9+3batWsHGLeo6NixIxEREQD8/vvvdOjQ4Z51paenU1BQgLe3M3/8cZDXX59MUtI17o5YWVgoqNemD/mVwtgfYYxwlAoY0VTNoFp6qlbsglarw9vbjdu3t5U61KXX68nMzESpVGJnZ4dWq8PS0oLbtzPYsuUke/ceZdOmnSXuc3NzY82aNbRu3RqAzMxMlixZwq+//kp8fDx2dnb06NGDCRMmULly5X/zSu/r9u3bLFy4kM2bN5OZmYmXlxdDhw7lhRdeuO+GtIIgPD3EarU/3V2NcunSJapXr86+ffto164dGRkZZn/hVahQgUmTJjF58uS/rVMER8Kj8uqrr5olKKxbty4ODg4cPnwYnU4HQJ06dThz5kyJPD85OTnY2Nggl+vZt28LubmJVKnixEsvvUROTq7pOoPKGU3FwRR6dwS5AhkSfeupmdzBFh9HYxDUu/dUNm8+SIsWdVizZjaenq73bffOnSextnajdevu6PVKOnfuzJ49e+55vbW1NUePHsXS0pJOnTqZ9dzcZWFhwQ8//CDm/giC8NBEcISxe7xnz55kZmZy5MgRAFasWMHIkSNL7DbesGFD2rRpwyeffFKinsLCQrPrs7Oz8fPzE8HRM06SpHLNVA3G+XG9e/fmt99+K7U8ICCA/fv3l5ink5GRytq1v9C1a318fW0oKCjEwkLBwIGDjJuoIsemQiNcavfjsiYI3Z8LUjU3TyBdXEVKhPkE7/DwaGxsrPDz8yy1HWlpmRw8eJEuXXpgbe1NdHQKKpUKLy8v9uzZY+rVsre3Z86cOfTq1YuoqCjeeecd03YlHTp04OrVq8THx5vqrVChAgkJCRQVFQHGvdH2799Py5Yt//nLFAThmVfWwdFTM+eouPHjx3P58uV/vZJn9uzZODg4mH75+fmVUQuFp82ZM2cYNmwYjo6OKBQK/Pz8eOutt0rt6SgLVlZWbN26lYULF1KjRg3TeU9PT95++23OnDljCoyuXbvGvn07gBicnGLp2DEYDw/Vn/WoOHz8LNc1XuSETiK77QpiK7/NBU0VdFhQ21dO7ua3SNnwIam3Iti2zbyXJyQkoERgdPPmbcLDbwMu2NjUwMGhJlqtB2BDQECAaZuRJUuWmO5ZuHAh48aNw9vbm2bNmrFjxw7T/0+7d+82BUZ169bl2rVrREdHk5iYyOjRowHjP3g+/vjjsnq9giAI/8pT13M0YcIENm/ezKFDhwgM/GufpYcZVhM9RwLA/PnzeeWVVyjtfwVnZ2d27NhBo0aN/lGdN27cYOHChezbt4/CwkKCg4MZNWoUPXr0KHVeT2xSGhFJOXi7OWFvbUlW8h28PV2xt9cRGXme5OR4GjWqburRSszSs+daIXuuFXDoej4G/qrTwVpG2xAVPWtZ07qKkrFjZ7B+/W84O8Obb77MCy+8YPZsnU5HdHQCAQHeWFi4cOTIDQwGa1q2bH3f71i7dm0uXryIQqEgPz+/xCawkydP5quvvjI7d+XKFUJDQ82eHRwcTHR0NGBcyVceeY8EQfhve2aTQEqSxMSJE9m4cSMHDhwwC4zAuDLF0tKSvXv30rdvXwCuX7/O7du3adKkSal1qlQqs8RwwrPnt99+Y+LEiabPDg4OVKxYkUuXLqHT6UhPT6dbt26Eh4fj6nr/+Th3zZs3j8mTJ5t2cwfjn8Vt27bRokULNm/ejJOTEwAGg8SKU7f5ZGc42Zp8ZApLJIOevKsHsPGqiFuFIBysZdhbe+NwLQN7KzlRqTouxeuKPVGBLvMOmhsnKYw6zfETn+Pl4WgqHTKkI2fOGIfvtFrtn881oNEUYGurJjdXwb59kXTrVhcfH3+aNw96oO95d5m8Xq8nKyurxPtJS0sz++zt7W0WGIFxvlHbtm358ccfAUhISBDBkSAIj91TM6w2fvx4li1bxooVK7CzsyMxMZHExETTTuMODg6MGjWKKVOmsH//fs6ePcvIkSNp0qTJA61UE55Nc+bMMR1PnTqVhIQEzp07R0xMjGn+S1pamtkQ0v2sWbOGV1991RQYyeVysw1kDx8+TL9+/ZAkiYjkHAYsOsqMTZdJT7yN7NYRHFQGFAoFNiEtkLkEkppr4FaKnvO3tRy4XsSWiwVcitchk0G9CpZM62zLq8HH0W0aQ8b+H/CQJZCWkm7Wpn379puOfXx8ADhw4BJ790YCNXF0rM/QoS/h4+P/j95dq1atTMfFE1eCsefs7gaudyeUJyUllZq36fLly6ZjBweHf9QGQRCEciE9JTDuWVni19KlS03X5OfnSy+//LLk5OQkqdVq6bnnnpMSEhIe+BlZWVkSIGVlZZXDNxCeNAkJCaY/R5UrV5YMBoNZeUREhKm8Zs2af1ufwWCQKleubLpn8uTJUmpqqqTX66UtW7ZIbm5uxjK5hfTqd7skz+felLxGfiOFztwuLfh9l3T5ylpJqz0hGQynpez8U1JcxknpSvxx6fitY9L2CwelwLb9Jbv6vST3ht2k+NQjkiSdkSTpjJSa+ptUu7ZCqlYNqUEDufTzz69I2dkHpPT0PdLChaOlunWRatVCCg5WSbduHZEkSSOlpKRIKSkp/+r93bx5U5LL5abv265dO2nevHnS5MmTJXt7e9P5unXrmo6HDBkiFRYWmur48ccfTWU1atQo8XsgCILwIMr65/dTN+eoPIml/M+WixcvUrt2bQBeeOEFfvjhhxLX+Pr6Eh8fj6enJwkJCfet78SJE6Yh3NI2jf3ss0+Z9cXXOPd6C7lTAEWpt2lV05XPwyqYltbfz9ChM1ixYhcAGzd+Tu/erU1l33wzn59++sns+sJC0GqN/01Lg7CwcXzwwYf/KLHk35k7dy5Tpky5Z3n16tVZvnw5DRs2NM3v8/b2pk2bNly9epXz58+brl26dCnPP/98mbVNEIRnh1itJghlpHhm5LNnz5aYkH3nzh1TQPT/AUV2djaJiYmmOTwAMTExpuNu3bphMBjYuHEdN26cJKfgBrHOgdh3mYbMwQ+lIZfFE2uwYmKgWWCUmZnD11+vpH//aSXaM358f3r0aMH27V/Rvbv5tiMvvzyO/v37U1gIej1kZ0NsLNy4ATExMGnSDObP/7ZMAyMwTrpetmxZiTmAlpaWhIWFcejQIWrWrMmyZcuwsDBOcbxz5w7Lly83C4zGjRvHiBEjyrRtgiAID+upmZAtCGXN19eXhg0bcurUKS5evMjnn3/O1KlTkcvl5ObmMm7cONPcob59+yJJEmvWrOHrr7/m+PHjANja2jJ06FDeeOMNs60y7ty5jEIRha9vPhcTkxmxPp2ELDVKjyBU8btp73qVHrVml2jTc8+9xoEDZwE4fvwPmjatZSpr2rQWW7bMLXFPXl4+NjbWTJ06A50ugPDwGCIjY3F3l9GoUSNeeuklqlSpUqbvrrihQ4cyaNCgP7cuicLGxobWrVubTazu168f/v7+zJ49my1btpjea506dZg8eTLDhg0r99xSgiAID0oMqxUjhtWePWvXrmXAgAGmz4GBgVStWpWjR4+SlZUFgI2NDeHh4XzwwQd89913pdZjZ2fLpk2/8tJLg9DrC3F3t+SNT39hW6Qr+8KNw0lqQzoW57/AMv0ikyZNwcXFn65dzXuAfv55G88//x4AH344jrffHnXf9p8/H8GlS4kMGzYaudyGvLw8bGxsHvZ1PBIZGRkkJiZib2+Pt7e3CIoEQfjXRIbsciSCo2fTjBkz+Oijj0ots7a2ZuPGjdy6dYvx48ebzgcHB1OpUiXOnj2ETpeHszP4+zvSunVr1hyJIz+gPzqnagDIMOCcvAvp0g/IDIWkpipJTJQoKtJy/fp6KleuYKo3P7+AmTMXMXJkD6pVK7mk3mAwsGPHMSpXrkHlyvXJzpbIzs7Bx8dHBBmCIDyzRHBUjkRw9Ozavn07c+fOZe/evYAxg/WgQYN4/fXXCQkJITg4mMjISAA++eQDHB1VDB/eBq02h8mTp3L+4kWKPFpiU/8lkgrtjJUatFjE7sM2bj0KzZ0/61VRr15XvvlmIwCffz6JqVOH3bdtubkaoqLuUKNGTcCNkydv4uPjh6+vb/m8DEEQhKfMM5sEUhDKU7du3ejWrRt5eXnk5ubi5ORkSnJ4/vx5IiMjsbOD555rwquvtiM1NRMrK0BhR2ivGey3zcRg7UFuIaiV4JhynMsbFpOTnErNmiCzNK5ge+mll5DJrNi48Rg9erSgWbNapbZHkiS0Wh1KpZL0dBlnz2ZSsaI/NjY2NGr0YMkoBUEQhIcjgiNBKMbGxgYbGxtycnI4c+YMjRpVQ6O5RuXKYGkJ9eoFo1IpsXFyZf6+PJYeyyM9TwXWHsiKMvHJPcL2r17gnem3OJ6cCkD//qMYO7a/WQbp27e33XcYbOfOU1hZudO2bW/8/BQMG9YYSZK4fv06kiQREBCAlZVVub8PQRCEZ5FYyi889cpqZDgxMfHPjWaL0OvvEBV1mOzsc3h4KLC1BZUKDl1KZNq6LBp9nMwXu3NJz5NQaTNRX/0Wp8MvUENxFge1nLCwbgC0aFGHRo3qlNha4/8Do4KCQg4dOodGYwkEUaNGd6pVawFYkJ2dzcyZM/H29iYkJISqVavi6enJq6++WmrGaUEQBOHfET1HwlMpIiKCr7/+mjVr1pCcnIyLiwv9+vVj0qRJhISEPFAdeXl5REVFUa1aVWSyPC5c2I1cXoC3d10cHWHIkHbIZDJs7GxxqtWXaMuGnHGqxpkzxi1rbHWpRO34EU34EYIqGrB2gE6dOgFQt24I0dFbqVDB657Pj49PJj+/kEqVqiCXu3LnTgTZ2e6o1Y74+TkCkJycbEqYWFxWVhbz5s1j8+bNHDhwgICAgH/8DgVBEITSiQnZxYgJ2U+H7du3069fPwoKCkqUKZVKli9fTr9+/Uq9NyIiAhsbG7y8HEhIiGDHjm3069cMBwdbCguLUKmUpmtTcvSsPJXP8pMakrL/3ETWoEOZfAzX9P3IM+I4euRukkho0sSTtWvXYW1d+nBXUZGWyMh4Klb0Ral05ujR62Rl6enatdc9v2vPnj3ZunUrYEys2KVLFywsLNixY4fp+zdq1Ijjx4+L1WqCIDyzxGq1ciSCoyffjRs3qFWrlikwsLKyIjQ0lPDwcDQaDWAMIk6fPk2tWrXQaDTExsZSpUoQkMWmTevw8rKhUaOqSJKEwWDc6LW487eL+PmYhu2XCtDqjecMmkzq2MUQs/9LFIXG3eYNBmP2aUdHqFTJhUWLFlKxYkWzunJy8tBoCvDwcCc314KVK/fQpctz+PpWwGAwmDZlLc3NmzepXLkyAO7u7hw+fNj0OS4ujpYtWxIVFQXAsWPHTFuXCIIgPGvE9iHCM+2rr74yBUZ9+vThzp07nD17loSEBIYOHQqAVqvlk08+AXQkJV3jyJH15OefAqLp0aMOjRpVBYzzfooHRpoiAxNWZPLcgnQ2XTAGRl6W2aRu/ZzYBc9TUXOZpd9+Qvv27bCxUWNhIaNFCx/eemssa9asNgVGOp3uz3lQck6evM3Jk+lALWxtqxMWNg5fX2Neo/sFRgDbtm0zHU+ZMsUUGIExu/eMGTNMn7ds2fKwr1QQBEH4P2LOkfDUkCSJlStXAqBWq/nxxx9xcHAAjL1F3333Hbt2baOwMIvjx9ei003C3x8aN/bjl19+Ijs7G2dnZzp27Iifn59Z3cf/uMOrazUka22xkEPP2laMaGKDn4013p8dw8bKEgsLC+rUqU2dOrXv2cbs7FzWrz9Gx4498PEJpUmTyqhUKsA45GU8fjB3M3QDhIaGliivVq1asedmP3C9giAIwv2J4Eh4ami1WjIzMwGoWbOmaS+ziIhwDhzYyfDhHenfvwrHjp1CodBx5048n3zyCSdOnDSrZ8GChXTs2IEZM2ZgY2PDewsO8kO4Jwq1A9ayQn4Z40WDgLtzjxzYseNrGjQIxc6u9G05btyIITk5h+bNO2Bv70L9+s44OgYC8n+1lYePj4/peM+ePfTo0cOsfPfu3aVeKwiCIPw7Ys5RMWLO0ZNNkiTs7e3Jzc3F3t6a7dtX0rx5CPn5qSQkpOLt7UqPHj1IT8/AwkKBv78/kZFRpvsLC4271Ts6/pmzqH49Gg37nI925GKQZBQm3KTinc0c3f35fdthMBiIjIzH3d0Fe3s/btxIJzExl5YtW5bp901LS8PX15eCggIsLCz47rvvGD58OHK5nA0bNvD888+Tl5eHTCbj1q1bBAYGlunzBUEQnhZizpHwTIqKimLVqp944YVOhIaCr28+27cvpqgoHWtrK/z8PPn2229JT88AMAuMXF1dCA5uwZUrEBsLhYVKJJkFBzXN+WB7HgZJhmvuNcYGRzD/09H3bENhYREABoMVR4/GEhfnCARQuXLdMg+MAFxcXJg4cSJgnMf0wgsv4Obmhru7O/379ycvLw+AsLAwERgJgiCUIdFzVIzoOXpySJLE77/vokIFV0JC3MnMjCUiIgqVSmLUqJHo9cal9c7OToSGViM8PJzUVGNGaq0WXF2Nv49yuYw1a9aQkJBNs2bGHe5bdmpJfEBPdI4hIBmY0d2BUc3V910Kf+1aNKdORTN06ItYWNhTWFj4j+YPPSydTsfIkSNZtmxZqeXdunVj7dq1WFtbl3tbBEEQnlRiKX85EsHR4xUfH8+1a5dp374BkMmpU0fx8HAqkUhx69ZtvP/+LAwG8z+6OTmQlAS5uTIqVpSwt4d69ery3XffIUkSffq8ToU6TTgoNSEjX45Mm4Pj1c85v3Nxqe05efIyzs7uBAc3IDfXksTEFCpWrPi3q8zKmiRJ7N69m4ULF3Lq1CkMBgO1a9dm7Nix9OjR45G3RxAE4UkjNp4V/rXw8HCWLFnCH3/8gUKhoEmTJowaNeqRT+qVJInz58/j6emKt7camSwKvf4mRUUOKJWWNGxYcoUWQI8e3QkICGDZsl85cOAAOp0ehUJOlSoh3Lx5FZBITwd7e0w9TDKZjMFvv8+MjdkU6UFVEI/1mXex0qeZ6s3PLyAmJpEqVQKRyVwoKPCksNAHcMXWFipVcngEb6UkmUxGx44d6dix42N5viAIwrNG9BwV81/vOTIYDEydOpWvvvqqRJmFhQWff/45r776arm2ITMzk/j4eKpVCwYy2bJlPUFBLlSrFvSA9+ewdesh1q3by6xZL1G1agC5ubnY2tpiMEh4eHTCxcUBK6sc1OocUKgY+e4vHIl34kSkcc5QfY9cIleORKbPJySkGl9//TWurm4kJBSyfftx+vUbhqOjczm+BUEQBKEsiZ4j4aFNnz691MAIjHNbJk2ahL29PSNHjizT56ampqJUKrG3V5GScpWzZw9RuXIbLC0t6Nmz4T+qa9Wq3xg3bg4A1asH8dFH483m/ly4sJyAAG8+WryZZUczKfJsxeeH1UARMiQa2Vzi5vJZyKRCNBrw82vK5ctFtG5dEw8PA2FhtVAqlfd4uiAIgvAseKieo7y8PObMmcPevXtJTk7GYDCYlUdGRpZZAx+l/3LP0Z07d/D390ev16NQKJg1axYvvPACGo2GuXPn8u233wLg6elJTEzMvw4QsrOzsbe3R5IKWL58CZUru9GwYSXTn5W/myeTkpLBxo376d69Bd7ebqbzSUlpeHl1RpIkWrasy8GD3/11T46ejecLWHNGQ0Sy3nRelhOLMn4PVsmHyIxPIT0dCgqgQ4curFq1Cjs7O7EvmSAIwlPsieg5Gj16NAcPHmT48OF4eXmJHyxPgV9++QW93hgwTJ06lbfffttUNn/+fGJjY9myZQuJiYns2LGD3r17/6P6i+9TdvXqBY4f30dYWHssLbX06FEDOzs18PdBEcBPP21l9OgP0ev1fP31a7zyyiBTmYeHC199NZV69UJo0qQmBoPEnmuFrDmTz/7rhfw5xQgrS+gQYkHOxRXs2vALaXmQmwuSBAqFghdeeIF58+ZhZVX6JrGCIAjCs+uhgqOdO3eyfft2mjVrVtbtEcrJzZs3TccDBw4sUT5w4EDT/lw3btx4oDolSUImkyFJEmvWLKNKFU9q1/YhICAPB4eqKBSFgBwHB9t71pGbq8HS0gKV6q+eqvr1q5oCufXr95kFR4Dpc0KWnsmrM01ziQDq+FvSISAPVfINhvUbhGro95zoM459+/aRl5eHp6cn/fr1w8vLfAWcIAiCINz1UMGRk5MTzs5iwurTpPi8nKSkpBLliYmJpuO7vSmSJHH8+HHCw8NRKpU0b96cgIAAAG7evMGZM0cYNKg9MlkWtWurcXGRA/mo1Vao1ffvkTlz5iqffPIz27cf4eefZ9G/f3tTWfXqlejatRk1alRiwIAOpd6/81IBb27IIitfQq2U0cErkW61HOjYtBYajRUXLnhgMLgDSho3bkzjxo0f8E0JgiAIz7qHSpDywQcf8M4776DRaMq6PUI5adOmjel49uzZFBX91duSkZHBN998Y3btjh07CK1Wjda9BvPqvDWMfvszgoIC6d69BfHxR3BxSaBqVSv0+gSgiCpVAnB1dXzg9mRm5rBu3V7y8wtZvfp3s7KioiLefLM/jRr5kpYWR05Ojqksr9DAG+uyGPtLCqlxt6nprWD7KxXpV90bB4UP4Ita7UrTpk1FYkRBEAThoTzUhOw6depw69YtJEkiICAAS0tLs/Jz586VWQMfpf/yhGytVktgYCDx8fEABAcHM2zYMPLz8/npp59MPUfNOnSn6XMjWbrjGAonb6TCPKwD6xrruLEbu/SDVLCK46elP+Hl5XnfZxrzGF1n2bIdDB3ahXr1qprKdDod3t5dkCSJ4cO78uWXU5AkiWXLlvPLLz+btgEBsLJS0atXL1r0HMPrazOJy7PCUJBNQ67x1Rsv4estNl0VBEF4lj0RGbJnzZp13/J33333oRv0OP2XgyOAQ4cO0alTJwoKCkzn5CobVBVqYl2hNuqKddDl56Kwc8XC1hlddir69NtUDqnAnUIHtJJxFFaRE0l9qz9Y+dlLyOX3noy/Zs1uBg6cDsCECQP45ps3zMqvX48mKMgXCwtjvZ999hmrVq02u0aSAJmcgoC+pMlDkSSJSvVa8uXA2tTyUoveIUEQBOHJCI7+qx5HcKTX64mOjqaoqAh/f39sbGzK9XmnT59m6tSpHD19Adcer6H0CsaQl4Wlqx8AmhvHsFLqsDHcoVGgBQvfH4e1SkFaroH5e9L46WguksIYkAQ4SUzq6Ej3mlZkZmQhk4GLi6PpWdnZuXh4dKKgoBAfH3du3952z9VqZ86c4aWXxpo+t2/fnqpVq7N641kuqVtjUaER+vxsgqwL2PzOMBzUlqXWIwiCIDx7yvrn97/alOns2bMsW7aMZcuWcf78+X/dmGdJQUEBs2fPJjAwkEqVKhEaGoqbmxsvvPBCueaJql+/Pt//tJzmb/2KdcV6GDRZ2OdGMLyhiu+GOzKk0nncbn6K+tYypj3fHmuVAgAXWznv9nZjYoW9WN9agUybS3SGjEmrs6g69RoV23/KtwvWmz3L3t6Wt94ayaJF0/njj5X3Xca/du1aAPLzoWfPMD6e/TNOtV4lwnMAcq9aGAo1ZOxbQsyaD7CzUpTb+xEEQRCEh1qtlpyczKBBgzhw4ACOjo6AcVuINm3asGrVKtzc3O5fwTNOo9HQpUsXDh06ZHY+Pz+fpUuXsnnzZvbs2UOdOnXK5HkGg4GsrCycnJxIz81iwMxvSbb0wqdSZZaOr0E1n3qmwGWnNtd0n6Njyb3EPJ3VqCMXYXV7E01HfMGRZD+ycMa58yssTUlDsT2bim4WVHS1oKKbghkzRt03D5ZWq+PatSgOnY8jRd2KInsvDuQ1ZdW7f5Cv1YNTIHX8HEnd8hmxl/eRB8TFxeHv718m70YQBEEQ/t9DBUcTJ04kJyeHK1euULWqcZLt1atXGTFiBK+88gorV64s00b+10ybNs0UGMlkMtq1a4eLiws7d+4kOzub9PR0nnvuOW7cuPHQmaoNBgMGgwELCwsuXTrFuXPH6N6nFSN+SiXDvR7ezjasfNGZYA/zPwKBgYEcOnQYMOazeuGFF8jJyWPTpgOsWvU7WVnRAMh1Gsa2sOLTyu40Gf4z2d7NkNQufH/YfAWjnZXMFChVdLUg0E2Btz3ciM0hKteaC1GFHP3tFAS9gYWDB1ZAFIBWj63KgheaBTCxXTAD9/7V61R8pZ0gCIIglLWHmnPk4ODAnj17aNCggdn5U6dO0bFjRzIzM8uqfY/Uo5hzlJmZiY+PDxqNBisrKw4cOECjRo0A45L6Tp06cfr0aQBWrVpVasLGeykoKMDKygqDwcDy5T9Qp04g1at7kJeXRXxyHq9ugWsJOlxt5aUGRgAxMTH06dMXMG5GO2bMi3h5BdGt22sA2NlBcDAEBVVk9erVyGQyUlIysLF3YNulAq7e0RGVqiMyVU9chp7if7ruJo0siLuGLisRm9DWxiSSBj0yyUBBYgRFCTd5fdQA+rdrSKCrLQq5jJSUFAICAtBoNNja2pKSkiIyWwuCIAgmT8T2IQaDocTyfQBLS8sS+6wJ5vbu3WvKDzVy5EhTYATG5Joff/wxHToYEx9u3rz5vsGRRqPB0tISS0tLzp07ztWr5xk2rBNyeS6NG7vi5mYBFFGEile35P1tYCRJEklJObRs2ZFDh35Hp9OxYMFCJAmUSigqgsJC47WTJk0yDZe5uTkBMKC+2qy+Aq1ETJqOmwmFbNpyCMmpCukWXkRbVsbDrjr1gn2o6etADR9Hju1cx4ufvw7AvCtb8PnkE6zbteOPP/7grbfeMr2zsLAwERgJgiAI5eqhgqO2bdvy6quvsnLlSry9vQGIj49n8uTJtGvXrkwb+F+TlZVlOq5WrVqJ8urVq5uOs7OzzcqKiorIy8vDycmJgoJsli1bQtu2dahUyYXAwAJcXPyRpAxkMhnBwcY5Oel5BoYuSTcFRqvGOFPJveRve3h4NL16TeHGjdsMG9aV/v37sXbtOgBkMvD1BQsLcHe35t1336Vp06b3/Z4pKRlER9+hQYOmVPF0xUNnjb9/BVJSUrh9OwdbWzUNGwabAp2gYUNZtHABZ8+eJTExkREjRpSo093dnTfffPO+zxUEQRCEf+uhgqP58+fTs2dPAgIC8PMzLgGPjY2levXqLFu2rEwb+F/j6+trOt69ezfjx483K9+9e7fp2MfHh4yMDOzt7VEo4OjR30hPj6dv3+ZYWRXSuXMV3N1VgBYnJ3ucnOxJTU3l5s0IANx8gpi4Ufa3gRFAQIAXSUnpAGzcuJ9Fi35nyJAhbN68maioKCwtldStW4euXbthZ1f6Xmk5OXkA2Nk5k5trT1RUMrVq+aNUKklKSmbs2HFmCUJdXFwYO3YsM2fORKVSsWvXLvr168fBgwdL1B0UFMSmTZtMf94EQRAEobw8dJ4jSZLYs2cP4eHhAFStWpX27dv/zV1Ptkcx50ir1VKhQgUSEhIA+PTTT5k4cSIqlYr9+/czePBgkpOTAdixYwOxsbfo2rUhvr62ZGfnIJPJsLMrmQspLi6Ob775hv3796PXGzBY2pNT70N0dhVxVkusGetGgDPs3n2SX37ZTrVqFZkxY7RZHS+99BHXr8cwfHhXhgzpjLX13w9f6fV6FAoFIGfVqiP4+FSmRYtOpvlFAN999x0vvfTSPeto164d27dvR6VSIUkSR48eZdmyZSQkJODg4EDv3r3p2bOnKVmkIAiCIBQnkkCWo0eVBHL+/PlMnDjR9NnWzQs770okXj2NlUUBajX06FGfH39cSHx8Mp6eLvcNDKKiohg9+kXTRHiDpT3Z9T5Eb1cRWWEGvjdm88v8WVhb2+Hr2w29Xo+/vydRUVvMcg/9Feg8mNjYRPbuvcygQcOxsvIkLc3Yy1V8PlpERAQhISHo9XrAuPVMt27duHnzJuvWrTOd/+CDD5gxY8YDP1sQBEEQ7npswdG8efMYM2YMVlZWzJs3777XvvLKK/+6YY/DowqODAYDb7zxBl988QUKlSX2jQdhU6sLCpUNsuQLeFikMv2l7rSu5oSD+v55OiVJYtDwF7mWJKGzD0bmGorBuQb5kjXywkzsz7yJQhNHSEgVli1bRvfuk9ix4yguLg6cOPETlSr9s2Gqc+fCUSptqF69MQUFasLDI6latSoqlarU66dOncqXX34JwMsvv8z8+fNNPUpHjx6lRYsWSJKEl5cXMTExpU70FwRBEIT7eWzBUWBgIGfOnMHFxYXAwMB7VyiTlWuG5/JUnsGRTqcz9f5s374Ba2s9Tk463llzhXPpAVjYuSCzMM9pJJNBFQ8LGgUqaRiopEGgJbYqGVfu6PgjTssfcVpO38rlTk7JXiVdTiruV5YS6BJDdHQ0AEuWLCEvD9LTs+jcuSlK5d8HIkVFWm7evE3VqsHI5a6cOHELKytHateubbpGkiSOHTtGREQE1tbWtGrVCg8PDwBq1qzJpUuXkMvlJCUl4erqalZ/9+7d2b59OwAXLlygVq1aD/xOBUEQBAEe41L+qKioUo+F0hkMBnQ6HUqlkjt34ti5cyODBnXAxqaIWrWsUCotMagciLBwwNJJYt5gB+r6KzkVVWT8FV1EZIqe8EQd4Yk6fj5uXMoul4HBLJw1/hbKNYnU9LWkS6MAvv3gUy4f3EO8rpDR377MDz8sAODkyROMHTuWB1FYWIRKpSQ3V8Hx44m4ubXC3d2Dxo3Ne5o2bNjA9OnTuXHjhumcpaUlAwYM4KuvvjItwbexscHFxaXEc4pnus7Pz3+gtgmCIAhCeXqoGa7vv/8+r732Gmq1eV6b/Px8PvvsM955550yadzTRKPRkJaW9udqKj0bNqzA29uRpk2r4uKSRqNG7lhYZABKfH2NvSqTV2eSr5WoX8GSHjWtkMlk+DpZ06eucWPXlBw9p6O1nIoq4vitAm4k6TFIMlxtQJkbR9K1cygyI7EpOoVcm82b386ncWMbkg/5kR3hzLBhXahQ4a/VcYV3kxT9jUOH/iAzE3r2HIKzs4rhw2uWOmz2/fffM2bMmBLntVoty5cv5+zZs/j7+3Pr1i1ycnLYu3ev2aT9oqIitm3bBhh7HCtUqPCAb1sQBEEQys9DbTw7a9YscnNzS5zXaDTMmjXrXzfqaaDT6Thz5gxpaSlAHtHRZ/ntt+Xo9X8AF2jY0JnKldVAFiqVBdWrV0Kl+mvY7NztIjaeLwDgnR72pe4/5manoIlvPsrL88lb3wfH/YNwOjgM+daeXF74KpFbvyPq+D6kAmM+pP37DwDw+uvDiYrawocfvsylS38tnffx8Sn1uxQWFnHgwBlSU3VAEJUrd6Zu3Q6AMSAqLTCKi4szS0PQokUL5s6dy9SpU0377YWHh5t9r+eff56tW7ei1+u5ceMGAwYMIDY2FoAuXbrg5eV1v1cuCIIgCI/EQ/UcFV+mXdzFixdxdnb+1416UkVGRpKZmU7dupVQKLK4efMAzs6VcXHxoVIlSypWbIlCoQXA39/znvVIksT7W3MA6FfPmpq+Jef+SJLE/v2nGDNmGnl5uXh7/xXJ6gErq0JycqBWrUoYDFGAlg0b1uPp6UG/fv3RarWsW7eO9evXA2BlpaJjx46m+ouKtCQnp+Pr64tS6UFOTgL5+d6AI56ejn/7LpYsWYJWa/yuL774IosXLzb9mRg/fjw1atQgLy+PY8eOUbt2bS5cuEB8fDw9e/YsUZdSqeTdd9/922cKgiAIwqPwj4IjJycnZDIZMpmMypUrmwVIer2e3NzcB57T8jQoKCjgwoULVKsWzP/au++wqK78f+DvYWAG6SBNBAQVMHbFhiaxodi7MUoU7FlBo+gmulmx5RuNMdZ1MckqukmsiSWr0ZWosAkh9oYKNhSjFCtIh5nz+4Ofd+8E4grOMIDv1/PM83DvuXPuZzjovJ9bzrW21uLp00t49Og3AAooFMDo0d2lbV/k4uZn9p0rwLk7xbBUKfB+UPkTKublFSAoaDpKSrRQKgFvbzV69eoFc3NzHDnyI4qKnqBePcDDIx9BQSH48st/QKsV+Nvf1uNvf1tfpr+xY8fCxsZGCrZXrmTizJlUjB3bC6amZhg40L2cKv6YfKLG+fPn6/wteHt7Izg4GF988QUKCgowd+5cfPbZZ9Iz4+Ssra2xbds2dOjQoUL7JyIiMpQKhaPVq1dDCIEJEyZg0aJFsLW1ldpUKhW8vLwQEBCg9yKr2tWryWjX7jUolQ+QkvITPDwew9raGa1auQFwe6m+84q0WHaw9KjRtO6WcLZRyh618d/HiTx69ADW1lo8fgxotcCHH36M/v27AgCmTw/H1KlTkZSUjNTUO3jttdfwzjvB+Prrb8rdZ3DwGEyZMgX798fD3d0XrVt3w2uvtYCPTwlMTSt367z8+qXyLrR2cnKSfrawsEBCQgIOHDiALVu2IDU1FVZWVujXrx8mTJhQ7vuJiIiMpULh6Nnzrry9vdG5c+daOyfNnTs/oV07E5iZAaNH99Br3xvicpGerYWHgxIhHdUYNGgWfvjhFzRu7I4rV76VjsD8+uuvcHICrKyA2bPHS8EIAKysrDBp0iTMmfNnadsPPvgAAwYMxO7d3+HKlSsAgEaNfNC8eXsMHjwIJiYu8PQ0g4ODIwBzqFSlgbay/Pz8kJCQAADYtm0bJk6cKLWVlJRg165d0nKTJk2gVCoxaNCgck+rERERVScvHI6ys7OluQPatGmD/Pz8P7z12pATKFaFnj39DdLv3ScafB5X+vyxv/S1hpWFGbKycqHRaJCcfBtnzyajbdsmAErv/LOyKg1HTZo0LtOX/BlteXml4+Dj0xhz5sxBfn4hrKys8OCBwIEDp5CV5QZ7e3u0bOlYpp/KmjRpEjZv3gwAmDlzJvLz8zF8+HD89ttvWLRokXRrf9euXeHj46O3/RIRERnaC4cje3t7pKWlwdnZGXZ2duVekP3sepZnj4SgUomJ1/HVVz/gaH4bFFr4oIO3Gfo0L70DbOzYfkhJuYvg4L5wcrKT3iO/c+unn35CUFCQTp//+c9/pJ/d3P67bUzMeZSUWGDAgFFwdDTFO++0qtAjQV5U586dMWzYMOzevRs5OTmYPn26ziNRgNIjUx9//LHe901ERGRILxyOjh49Kt2JduzYMYMVVNsIITB06J9xJ98Kru+8BQWAyAH/vXU/JGQAJkwYpPOMM6D01ngbG2tkZz/FwYOH4OXlhbfffhsqlQoHDx7Epk2bAJRej1RcbI+HD9WoW7cx2rVr8P9n4i4dWkMEI6B0XqKvv/4a48ePx44dO8q029nZ4ZtvvkHnzp0Nsn8iIiJD4YNnZf47/XgsbGzKv4vsj8THn8OxY6fw4EEW3ntvOHbt2okTJ06goKAAaelK3Gs2B+p6Pujg+Ag75zR9oT6//vprrFq1Wlo2MVHAxMQEOTkaFBcDBQXAgAFj8c4776JZs2Y6F8hXpTNnziA6Oho3b95EnTp1EBgYiODgYFhbWxulHiIierUY7dlqcocOHYKVlRVef/11AMD69evx5ZdfomnTpli/fj3s7e1fujBjeJlw5Oc3DFevpkKpNEHLllrIzzrmOPVEYetZMNEU4NB0K/h6vti1P0IIrF+/Hps2bUZxMaBUAk+fApmZQE4OMHLkSHz11Vd/+NBXIiKiV4G+w1GlZsj+85//jOzs0lmZL168iIiICPTr1w8pKSmIiIh46aKqIyEEzp5NwtSpH2HMmNnYtWsXfvrpZ2kixG7dSi/i1mi0eDZ5uKmpElZ2Tih6rfQuP/MbW/HRXyNe+JosIQTCw8OxZctWuLsHoLjYF3XqNMPAgaNx7Ngx7Nixg8GIiIhIzyo1Q3ZKSgqaNi09NfTdd99h4MCB+Pjjj3HmzBn069dPrwVWF/fuZaBDh3HSpIxXrsTBxASoW9cBkyZNwrhx/XHmTDzy8zOhUgFjxozGlClTEBUP/D02F2aFGTBP/R6XRAni4+Px5ptvPnd/ycm3cP78bxg5chxatGiLHTv61/i7AImIiGqCSh05UqlU0tPWf/zxR+mxFA4ODtIRpZqsoKAIycm3pOWcnBzMmTML1tZaAKUXQT+bxeDhw0f45JPlOHZsP7TaTKjVQIsWzRAREYEnxXXwj59Lb92fFlAChSgBAOlhq7+XnHwL9+49AuACR8cA+Pp2hUZjDUDBYERERFRFKnXk6PXXX0dERAS6dOmCEydOSHcrXb16VWf+nZrKx2co6td3xqVLO6FQKLBx40ZcvXoNzs5A3bpqTJw4BH5+Pvjll3gcPVp6596ePXshTNQosWkMk6bj8O7XT3DqVjGKSoAujVUIH9oSX39S2n9GRoa0r7y8AlhYmAOwRHJyPurVc4ebmzvq1gXq1n252biJiIio4ioVjv72t79h2rRp+PbbbxEVFSU97f3gwYPo06ePXgusjPXr1+PTTz9Feno6WrVqhXXr1lXo2V3Z2bnIzk7BqVOX0bJlY+zduxcAYGdnim3bvoG3txe0WoGWrw9AgeuPOHzmLkps/aCx8gZMlDj2GMDj0sdrOFqZYOFAG6Sm3pb6t7CwAACkpT3Av/51GiNGjIWDgwcGDPAtc0s/ERERVa1KhSNPT89yTw2tWrXqpQt6WTt27EBERAQ2bNiAjh07YvXq1QgKCkJycjKcnZ1fqA8LC3OMHBkIKysL3LyZguzs0mehde3aFd7eXpi98wl+vFKIrHwBoDXg0Vp6r6LgIVTZSXi7VwsMCPBCczczmIgivP/xWgClt9+7uTUB4AYXlxbo1s0bNjalkzgyGBERERlfpcIRAGg0Guzdu1d6jlezZs0waNAgg006+KJWrlyJyZMnY/z48QCADRs24MCBA9i0aRPmzp37Qn1cu7YHbm6lD05NTEyU1ltZlc7bk1sokJUvoDYFWtQ3RVL8d8DDy7DX/oa8B6VHiA5cAB4FBMDZ2QXHjv0Hjx8/Ql4ekJ1tidatRwCoBxMTwNfXV4+fnoiIiF5WpeY5un79Ovr164e7d+/Cz88PAJCcnAwPDw8cOHAAjRo10nuhL6KoqAgWFhb49ttvMWTIEGl9SEgInjx5gn379j33/eXNc5SVlYXevYNQUlICOztbfP/990h5ooIQQJN6pog7dgQffFAaul5//XWUlBTj11+PQwhAoQA0GuDOHSA3F1AozLFv3z7pAnYiIiJ6edVinqMZM2agUaNGuHPnDs6cOYMzZ84gNTUV3t7emDFjxksXVVkPHjyARqOBi4uLznoXFxekp6eX2b6wsBDZ2dk6r9+ztbVFz549AABPnmRh2rRpyL59EvbIwO5vd2LJko+kbYcNG4rVq1dj0KC3kZNji1u3gMRE4PFjBfr0GYxffvmFwYiIiKiaq9Rptbi4OPz666/Ss9YAoG7duli2bBm6dOmit+IMbenSpVi0aNH/3G7q1Kn45Zdf8PRpDhITL2H69NIA+OzokBCAra0P6tVrDzOz5ggPX4cRIzKg1WpRWFiIBg0awMnJydAfh4iIiPSgUkeO1Go1nj59WmZ9Tk4OVCrVSxdVWY6OjlAqlTq3ygOlt867urqW2X7evHnIysqSXnfu3Cm33wYNGiAqKgr16v23j5wc4N49IDUV8PEZgo8/3gJHx2YArFC3riOaNWuGFi1aoF27dgxGRERENUiljhwNGDAAU6ZMwcaNG6Vb5I8fP453330XgwYN0muBFaFSqeDv748jR45I1xxptVocOXIE4eHhZbZXq9Uv/PgNX19fLFiwHDdvpiA+PgkpKVmoW9cJs2bNQqtWrfT5MYiIiMiIKhWO1q5di5CQEAQEBMDMzAwAUFxcjMGDB2PNmjV6LbCiIiIiEBISgnbt2qFDhw5YvXo1cnNzpbvXKqqgoBDm5mqYmNji9m2Bli1HYtSo1/RcNREREVUXlQpHdnZ22LdvH65fv47Lly8DAJo2bYrGjRvrtbjKGDVqFO7fv4/IyEikp6ejdevWOHToUJmLtF/ErVtpOHLkEt5+eyIsLR0xfLgvFAqFAaomIiKi6qJSt/IDwMaNG7Fq1Spcu3YNAODj44OZM2di0qRJei2wKj27FfDUqa3w9++KoiJb3Lx5Bz4+Pkafv4mIiIjKp+9b+St15CgyMhIrV67E9OnTERAQAABISEjArFmzkJqaisWLF790YcZ0754F/P3doFIBTZo0MXY5REREVIUqdeTIyckJa9euxejRo3XWb9u2DdOnT8eDBw/0VmBV0nfyJCIiIsOrFpNAFhcXo127dmXW+/v7o6Sk5KWLIiIiIjKWSoWjsWPHIioqqsz6L774AsHBwS9dFBEREZGxVPrBsxs3bsThw4fRqVMnAKXzHKWmpmLcuHGIiIiQtlu5cuXLV0lERERURSoVjhITE9G2bVsAwI0bNwCUzk7t6Oio8xR73vZORERENU2lwtGxY8f0XQcRERFRtVCpa46IiIiIaiuGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiKZGhGObt26hYkTJ8Lb2xt16tRBo0aNsGDBAhQVFelsd+HCBbzxxhswNzeHh4cHli9fbqSKiYiIqKYyNXYBLyIpKQlarRaff/45GjdujMTEREyePBm5ublYsWIFACA7Oxu9e/dGYGAgNmzYgIsXL2LChAmws7PDlClTjPwJiIiIqKZQCCGEsYuojE8//RRRUVG4efMmACAqKgoffvgh0tPToVKpAABz587F3r17kZSU9EJ9Zmdnw9bWFllZWbCxsTFY7URERKQ/+v7+rhGn1cqTlZUFBwcHaTkhIQFvvvmmFIwAICgoCMnJyXj8+HG5fRQWFiI7O1vnRURERK+2GhmOrl+/jnXr1mHq1KnSuvT0dLi4uOhs92w5PT293H6WLl0KW1tb6eXh4WG4oomIiKhGMGo4mjt3LhQKxXNfvz8ldvfuXfTp0wcjR47E5MmTX2r/8+bNQ1ZWlvS6c+fOS/VHRERENZ9RL8iePXs2QkNDn7tNw4YNpZ/v3buH7t27o3Pnzvjiiy90tnN1dUVGRobOumfLrq6u5fatVquhVqsrUTkRERHVVkYNR05OTnBycnqhbe/evYvu3bvD398f0dHRMDHRPegVEBCADz/8EMXFxTAzMwMAxMTEwM/PD/b29nqvnYiIiGqnGnHN0d27d9GtWzd4enpixYoVuH//PtLT03WuJRozZgxUKhUmTpyIS5cuYceOHVizZg0iIiKMWDkRERHVNDVinqOYmBhcv34d169fh7u7u07bs5kIbG1tcfjwYYSFhcHf3x+Ojo6IjIzkHEdERERUITV2niND4DxHRERENQ/nOSIiIiIyIIYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGYYjIiIiIhmGIyIiIiIZhiMiIiIiGVNjF0BERLWPRqNBcXGxscugWkSlUsHEpGqO6TAcERGR3gghkJ6ejidPnhi7FKplTExM4O3tDZVKZfB9MRwREZHePAtGzs7OsLCwgEKhMHZJVAtotVrcu3cPaWlp8PT0NPjfFcMRERHphUajkYJR3bp1jV0O1TJOTk64d+8eSkpKYGZmZtB98YJsIiLSi2fXGFlYWBi5EqqNnp1O02g0Bt8XwxEREekVT6WRIVTl3xXDEREREZEMwxEREVEVi42NhUKh4F191RTDERERvdIUCsVzXwsXLjR2iVTFeLcaERG90tLS0qSfd+zYgcjISCQnJ0vrrKyspJ+FENBoNDA15ddnbcYjR0RE9EpzdXWVXra2tlAoFNJyUlISrK2tcfDgQfj7+0OtVuPnn3/GjRs3MHjwYLi4uMDKygrt27fHjz/+qNNvYWEhPvjgA3h4eECtVqNx48bYuHFjuTXk5eWhb9++6NKlC0+1VQMMR0REZHArV66Eu7s73N3dERsbq9OWkpIitU2fPr3MewcNGiS1/97mzZultt27dxuqfMydOxfLli3DlStX0LJlS+Tk5KBfv344cuQIzp49iz59+mDgwIFITU2V3jNu3Dhs27YNa9euxZUrV/D555/rHIV65smTJ+jVqxe0Wi1iYmJgZ2dnsM9BL4bHBYmIyOCys7Nx9+5dAKVHVOQ0Go3U9vjx4zLvvX//vtT+e7m5uVJbXl6ePkvWsXjxYvTq1UtadnBwQKtWraTlJUuWYM+ePfj+++8RHh6Oq1evYufOnYiJiUFgYCAAoGHDhmX6TU9Px6hRo+Dj44OtW7dWyaMx6H9jOCIiIoOzsbFB/fr1AQBqtVqnTalUSm329vZl3uvk5CS1/56lpaXUZsjJJ9u1a6eznJOTg4ULF+LAgQNIS0tDSUkJ8vPzpSNH586dg1KpRNeuXZ/bb69evdChQwfs2LEDSqXSYPVTxTAcERGRwUVERCAiIqLcNm9vb/z2229/+N7vv//+D9tCQ0MRGhr6suX9T5aWljrLc+bMQUxMDFasWIHGjRujTp06GDFiBIqKigAAderUeaF++/fvj++++w6XL19GixYt9F43VQ7DERERUQXFx8cjNDQUQ4cOBVB6JOnWrVtSe4sWLaDVahEXFyedVivPsmXLYGVlhZ49eyI2NhZNmzY1dOn0AnhBNhERUQX5+Phg9+7dOHfuHM6fP48xY8ZAq9VK7V5eXggJCcGECROwd+9epKSkIDY2Fjt37izT14oVKxAcHIwePXogKSmpKj8G/QGGIyIiogpauXIl7O3t0blzZwwcOBBBQUFo27atzjZRUVEYMWIEpk2bhiZNmmDy5MnIzc0tt79Vq1bhrbfeQo8ePXD16tWq+Aj0HAohhDB2EdVFdnY2bG1tkZWVBRsbG2OXQ0RUoxQUFCAlJQXe3t4wNzc3djlUyzzv70vf3988ckREREQkw3BEREREJMNwRERERCTDcEREREQkw3BEREREJMNwRERERCTDcEREREQkw3BEREREJMNwRERERCTDcERERK+80NBQKBQKvPvuu2XawsLCoFAoEBoaWvWF1SIKhQJ79+41dhkvhOGIiIiqjczMTHz00Udo3rw5nJ2d0bRpU0RGRuLevXsG37eHhwe2b9+O/Px8aV1BQQG2bt0KT09Pg+//ZRQVFRm7hFqF4YiIiKqFn3/+GU2aNMH8+fNx6dIl3L9/H1euXMGSJUvg5+eHmJgYg+6/bdu28PDwwO7du6V1u3fvhqenJ9q0aSOt02q1WLp0Kby9vVGnTh20atUK3377rdSu0WgwceJEqd3Pzw9r1qzR2VdsbCw6dOgAS0tL2NnZoUuXLrh9+zaA0qNYQ4YM0dl+5syZ6Natm7TcrVs3hIeHY+bMmXB0dERQUBAAIDExEX379oWVlRVcXFwwduxYPHjwQOd906dPx8yZM2Fvbw8XFxd8+eWXyM3Nxfjx42FtbY3GjRvj4MGDOvt/kX5nzJiB999/Hw4ODnB1dcXChQuldi8vLwDA0KFDoVAopOXz58+je/fusLa2ho2NDfz9/XHq1Kn/MVKGx3BERERGl5qaigEDBuDx48cASk/BeHh4wMSk9GsqJycHQ4YMQXJyskHrmDBhAqKjo6XlTZs2Yfz48TrbLF26FP/85z+xYcMGXLp0CbNmzcI777yDuLg4AKXhyd3dHbt27cLly5cRGRmJv/zlL9i5cycAoKSkBEOGDEHXrl1x4cIFJCQkYMqUKVAoFBWqdcuWLVCpVIiPj8eGDRvw5MkT9OjRA23atMGpU6dw6NAhZGRk4K233irzPkdHR5w4cQLTp0/Hn/70J4wcORKdO3fGmTNn0Lt3b4wdOxZ5eXkAUKF+LS0tcfz4cSxfvhyLFy+WAu3JkycBANHR0UhLS5OWg4OD4e7ujpMnT+L06dOYO3cuzMzMKvR7MAhBkqysLAFAZGVlGbsUIqIaJz8/X1y+fFnk5+dX+L2zZ88WAAQA0aNHD3Hr1i0hhBC//fab6N+/v9Q2ZcoUfZcthBAiJCREDB48WGRmZgq1Wi1u3bolbt26JczNzcX9+/fF4MGDRUhIiCgoKBAWFhbil19+0Xn/xIkTxejRo/+w/7CwMDF8+HAhhBAPHz4UAERsbOxza5F77733RNeuXaXlrl27ijZt2uhss2TJEtG7d2+ddXfu3BEARHJysvS+119/XWovKSkRlpaWYuzYsdK6tLQ0AUAkJCRUul8hhGjfvr344IMPpGUAYs+ePTrbWFtbi82bN5f7e/i95/196fv729RImYyIiEjy9ddfAwBUKhW2bdsGZ2dnAED9+vXxzTffwN3dHTk5Odi6dSv+/ve/Q6lUGqQOJycn9O/fH5s3b4YQAv3794ejo6PUfv36deTl5aFXr1467ysqKtI59bZ+/Xps2rQJqampyM/PR1FREVq3bg0AcHBwQGhoKIKCgtCrVy8EBgbirbfeQr169SpUq7+/v87y+fPncezYMVhZWZXZ9saNG/D19QUAtGzZUlqvVCpRt25dtGjRQlrn4uICoPT6r8r2CwD16tWT+vgjERERmDRpEr766isEBgZi5MiRaNSo0XPfUxUYjoiIyKhKSkqQkZEBAGjdurUUjJ6xtbVFp06d8OOPPyInJwdZWVlwcHAwWD0TJkxAeHg4gNKQI5eTkwMAOHDgAOrXr6/TplarAQDbt2/HnDlz8NlnnyEgIADW1tb49NNPcfz4cWnb6OhozJgxA4cOHcKOHTvw17/+FTExMejUqRNMTEwghNDpu7i4uEydlpaWZWobOHAgPvnkkzLbyoPX709bKRQKnXXPTu9ptdqX7vdZH39k4cKFGDNmDA4cOICDBw9iwYIF2L59O4YOHfrc9xkawxERERmVUqmEhYUF8vLycP36dRQWFkpBAyi9wPnKlSsAABMTkzKhQN/69OmDoqIiKBQK6ULnZ5o2bQq1Wo3U1FR07dq13PfHx8ejc+fOmDZtmrTuxo0bZbZr06YN2rRpg3nz5iEgIABbt25Fp06d4OTkhMTERJ1tz5079z+vxWnbti2+++47eHl5wdRUf1/v+urXzMwMGo2mzHpfX1/4+vpi1qxZGD16NKKjo40ejnhBNhERGZVCocDAgQMBAI8ePUJkZKR05EQIgWXLluHu3bsASoOLPDgZglKpxJUrV3D58uUyp++sra0xZ84czJo1C1u2bMGNGzdw5swZrFu3Dlu2bAEA+Pj44NSpU/j3v/+Nq1evYv78+dIFyACQkpKCefPmISEhAbdv38bhw4dx7do1vPbaawCAHj164NSpU/jnP/+Ja9euYcGCBWXCUnnCwsLw6NEjjB49GidPnsSNGzfw73//G+PHjy83lLwoffXr5eWFI0eOID09HY8fP0Z+fj7Cw8MRGxuL27dvIz4+HidPnpR+D8ZU48JRYWEhWrduDYVCgXPnzum0XbhwAW+88QbMzc3h4eGB5cuXG6dIIiKqkJkzZ0o/L1++HE2aNMH48ePRvHlz/PWvfy13O0OysbGBjY1NuW1LlizB/PnzsXTpUrz22mvo06cPDhw4AG9vbwDA1KlTMWzYMIwaNQodO3bEw4cPdY4iWVhYICkpCcOHD4evry+mTJmCsLAwTJ06FQAQFBSE+fPn4/3330f79u3x9OlTjBs37n/W7Obmhvj4eGg0GvTu3RstWrTAzJkzYWdnJ931Vxn66vezzz5DTEwMPDw80KZNGyiVSjx8+BDjxo2Dr68v3nrrLfTt2xeLFi2qdK36ohC/P7FZzb333nu4du0aDh48iLNnz0oXuGVnZ8PX1xeBgYGYN28eLl68iAkTJmD16tWYMmXKC/WdnZ0NW1tbZGVl/eE/CiIiKl9BQQFSUlLg7e0Nc3PzCr9/9erVmDVr1h+2L168GPPnz3+ZEqkGe97fl76/v2vUkaODBw/i8OHDWLFiRZm2b775BkVFRdi0aROaNWuGt99+GzNmzMDKlSuNUCkREVXUzJkz8cMPP+hMdggAnTt3xp49exiMqMrUmAuyMzIyMHnyZOzduxcWFhZl2hMSEvDmm29CpVJJ64KCgvDJJ5/g8ePHsLe3L/OewsJCFBYWSsvZ2dmGKZ6IiF5I37590bdvX2RkZOD+/ftwcHCAm5ubscuiV0yNOHIkhEBoaCjeffddtGvXrtxt0tPTpbkZnnm2nJ6eXu57li5dCltbW+nl4eGh38KJiKhSXFxc0Lx5cwYjMgqjhqO5c+dCoVA895WUlIR169bh6dOnmDdvnl73P2/ePGRlZUmvO3fu6LV/IiIiqnmMelpt9uzZCA0Nfe42DRs2xNGjR5GQkFDm9s127dohODgYW7ZsgaurqzSJ2DPPll1dXcvtW61WG/yWUCIiIqpZjBqOnJyc4OTk9D+3W7t2LT766CNp+d69ewgKCsKOHTvQsWNHAEBAQAA+/PBDFBcXSxNlxcTEwM/Pr9zrjYiIiIjKUyMuyPb09NRZfvZ8l0aNGsHd3R0AMGbMGCxatAgTJ07EBx98gMTERKxZswarVq2q8nqJiIio5qoR4ehF2Nra4vDhwwgLC4O/vz8cHR0RGRn5wnMcEREREQE1NBx5eXmVeSgfUPpE4J9++skIFREREVFtUSNu5SciIjKGbt266TyyxMvLC6tXrzZaPVQ1GI6IiOiVFxoaWu50MsuXL8eSJUv+8H0KhQJ79+6tukKpStTI02pERET61qdPH0RHR+usc3JyglKpNPi+5Xdak/HxyBERERFK575zdXXVefXs2VPntJqcl5cXAGDo0KFQKBTSMgDs27cPbdu2hbm5ORo2bIhFixahpKREalcoFIiKisKgQYNgaWmJ//u//zPgJ6OK4pEjIiIyGCEE8os1Vb7fOmZKKBQKg+7j5MmTcHZ2RnR0NPr06SMdYfrpp58wbtw4rF27Fm+88QZu3Lgh3Tm9YMEC6f0LFy7EsmXLsHr1apia8uu4OuFoEBGRweQXa9A08t9Vvt/Li4NgoarYV9z+/fulefSA0ofgPs+zSYzt7Ox0nsSwaNEizJ07FyEhIQBKn/SwZMkSvP/++zrhaMyYMRg/fnyFaqSqwXBEREQEoHv37oiKipKWLS0tMXr06Ar3c/78ecTHx+ucKtNoNCgoKEBeXh4sLCwA4A8fpE7Gx3BEREQGU8dMicuLg4yy34qytLRE48aNX3rfOTk5WLRoEYYNG1amzdzcXGd/VD0xHBERkcEoFIoKn96qSczMzKDR6F5T1bZtWyQnJ+slaJFx1N6/WCIiIgPz8vLCkSNH0KVLF6jVatjb2yMyMhIDBgyAp6cnRowYARMTE5w/fx6JiYk6D1Gn6ou38hMREVXSZ599hpiYGHh4eKBNmzYAgKCgIOzfvx+HDx9G+/bt0alTJ6xatQoNGjQwcrX0ohSivIeUvaKys7Nha2uLrKws2NjYGLscIqIapaCgACkpKfD29ta5toZIH57396Xv728eOSIiIiKSYTgiIiIikmE4IiIiIpJhOCIiIiKSYTgiIiIikmE4IiIiveJN0GQIVfl3xXBERER6YWZmBgDIy8szciVUGxUVFQEAlMqKPxqmojhDNhER6YVSqYSdnR0yMzMBABYWFlAoFEauimoDrVaL+/fvw8LCAqamho8uDEdERKQ3rq6uACAFJCJ9MTExgaenZ5UEboYjIiLSG4VCgXr16sHZ2RnFxcXGLodqEZVKBROTqrkaiOGIiIj0TqlUVsm1IUSGwAuyiYiIiGQYjoiIiIhkGI6IiIiIZHjNkcyzCaays7ONXAkRERG9qGff2/qaKJLhSObhw4cAAA8PDyNXQkRERBX18OFD2NravnQ/DEcyDg4OAIDU1FS9/HLp5WRnZ8PDwwN37tyBjY2Nsct5pXEsqg+ORfXBsag+srKy4OnpKX2PvyyGI5ln8yfY2tryD70asbGx4XhUExyL6oNjUX1wLKoPfc2DxAuyiYiIiGQYjoiIiIhkGI5k1Go1FixYALVabexSCByP6oRjUX1wLKoPjkX1oe+xUAh93fdGREREVAvwyBERERGRDMMRERERkQzDEREREZEMwxERERGRDMORzPr16+Hl5QVzc3N07NgRJ06cMHZJtd5//vMfDBw4EG5ublAoFNi7d69OuxACkZGRqFevHurUqYPAwEBcu3bNOMXWckuXLkX79u1hbW0NZ2dnDBkyBMnJyTrbFBQUICwsDHXr1oWVlRWGDx+OjIwMI1Vce0VFRaFly5bS5IIBAQE4ePCg1M5xMJ5ly5ZBoVBg5syZ0jqOR9VZuHAhFAqFzqtJkyZSu77GguHo/9uxYwciIiKwYMECnDlzBq1atUJQUBAyMzONXVqtlpubi1atWmH9+vXlti9fvhxr167Fhg0bcPz4cVhaWiIoKAgFBQVVXGntFxcXh7CwMPz666+IiYlBcXExevfujdzcXGmbWbNm4V//+hd27dqFuLg43Lt3D8OGDTNi1bWTu7s7li1bhtOnT+PUqVPo0aMHBg8ejEuXLgHgOBjLyZMn8fnnn6Nly5Y66zkeVatZs2ZIS0uTXj///LPUprexECSEEKJDhw4iLCxMWtZoNMLNzU0sXbrUiFW9WgCIPXv2SMtarVa4urqKTz/9VFr35MkToVarxbZt24xQ4aslMzNTABBxcXFCiNLfvZmZmdi1a5e0zZUrVwQAkZCQYKwyXxn29vbiH//4B8fBSJ4+fSp8fHxETEyM6Nq1q3jvvfeEEPx3UdUWLFggWrVqVW6bPseCR44AFBUV4fTp0wgMDJTWmZiYIDAwEAkJCUas7NWWkpKC9PR0nXGxtbVFx44dOS5VICsrC8B/H8h8+vRpFBcX64xHkyZN4OnpyfEwII1Gg+3btyM3NxcBAQEcByMJCwtD//79dX7vAP9dGMO1a9fg5uaGhg0bIjg4GKmpqQD0OxZ88CyABw8eQKPRwMXFRWe9i4sLkpKSjFQVpaenA0C54/KsjQxDq9Vi5syZ6NKlC5o3bw6gdDxUKhXs7Ox0tuV4GMbFixcREBCAgoICWFlZYc+ePWjatCnOnTvHcahi27dvx5kzZ3Dy5Mkybfx3UbU6duyIzZs3w8/PD2lpaVi0aBHeeOMNJCYm6nUsGI6IqIywsDAkJibqnMunquXn54dz584hKysL3377LUJCQhAXF2fssl45d+7cwXvvvYeYmBiYm5sbu5xXXt++faWfW7ZsiY4dO6JBgwbYuXMn6tSpo7f98LQaAEdHRyiVyjJXtGdkZMDV1dVIVdGz3z3HpWqFh4dj//79OHbsGNzd3aX1rq6uKCoqwpMnT3S253gYhkqlQuPGjeHv74+lS5eiVatWWLNmDcehip0+fRqZmZlo27YtTE1NYWpqiri4OKxduxampqZwcXHheBiRnZ0dfH19cf36db3+22A4Qul/Qv7+/jhy5Ii0TqvV4siRIwgICDBiZa82b29vuLq66oxLdnY2jh8/znExACEEwsPDsWfPHhw9ehTe3t467f7+/jAzM9MZj+TkZKSmpnI8qoBWq0VhYSHHoYr17NkTFy9exLlz56RXu3btEBwcLP3M8TCenJwc3LhxA/Xq1dPvv42XuGi8Vtm+fbtQq9Vi8+bN4vLly2LKlCnCzs5OpKenG7u0Wu3p06fi7Nmz4uzZswKAWLlypTh79qy4ffu2EEKIZcuWCTs7O7Fv3z5x4cIFMXjwYOHt7S3y8/ONXHnt86c//UnY2tqK2NhYkZaWJr3y8vKkbd59913h6ekpjh49Kk6dOiUCAgJEQECAEauunebOnSvi4uJESkqKuHDhgpg7d65QKBTi8OHDQgiOg7HJ71YTguNRlWbPni1iY2NFSkqKiI+PF4GBgcLR0VFkZmYKIfQ3FgxHMuvWrROenp5CpVKJDh06iF9//dXYJdV6x44dEwDKvEJCQoQQpbfzz58/X7i4uAi1Wi169uwpkpOTjVt0LVXeOAAQ0dHR0jb5+fli2rRpwt7eXlhYWIihQ4eKtLQ04xVdS02YMEE0aNBAqFQq4eTkJHr27CkFIyE4Dsb2+3DE8ag6o0aNEvXq1RMqlUrUr19fjBo1Sly/fl1q19dYKIQQQg9HtoiIiIhqBV5zRERERCTDcEREREQkw3BEREREJMNwRERERCTDcEREREQkw3BEREREJMNwRERERCTDcERENV5sbCwUCkWZZyoREVUGJ4EkohqnW7duaN26NVavXg0AKCoqwqNHj+Di4gKFQmHc4oioxjM1dgFERC9LpVLxCehEpDc8rUZENUpoaCji4uKwZs0aKBQKKBQKbN68Wee02ubNm2FnZ4f9+/fDz88PFhYWGDFiBPLy8rBlyxZ4eXnB3t4eM2bMgEajkfouLCzEnDlzUL9+fVhaWqJjx46IjY01zgclIqPhkSMiqlHWrFmDq1evonnz5li8eDEA4NKlS2W2y8vLw9q1a7F9+3Y8ffoUw4YNw9ChQ2FnZ4cffvgBN2/exPDhw9GlSxeMGjUKABAeHo7Lly9j+/btcHNzw549e9CnTx9cvHgRPj4+Vfo5ich4GI6IqEaxtbWFSqWChYWFdCotKSmpzHbFxcWIiopCo0aNAAAjRozAV199hYyMDFhZWaFp06bo3r07jh07hlGjRiE1NRXR0dFITU2Fm5sbAGDOnDk4dOgQoqOj8fHHH1fdhyQio2I4IqJaycLCQgpGAODi4gIvLy9YWVnprMvMzAQAXLx4ERqNBr6+vjr9FBYWom7dulVTNBFVCwxHRFQrmZmZ6SwrFIpy12m1WgBATk4OlEolTp8+DaVSqbOdPFARUe3HcERENY5KpdK5kFof2rRpA41Gg8zMTLzxxht67ZuIahberUZENY6XlxeOHz+OW7du4cGDB9LRn5fh6+uL4OBgjBs3Drt370ZKSgpOnDiBpUuX4sCBA3qomohqCoYjIqpx5syZA6VSiaZNm8LJyQmpqal66Tc6Ohrjxo3D7Nmz4efnhyFDhuDkyZPw9PTUS/9EVDNwhmwiIiIiGR45IiIiIpJhOCIiIiKSYTgiIiIikmE4IiIiIpJhOCIiIiKSYTgiIiIikmE4IiIiIpJhOCIiIiKSYTgiIiIikmE4IiIiIpJhOCIiIiKSYTgiIiIikvl/kuADQ/bT8eQAAAAASUVORK5CYII=", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "P = np.diag([500., 49.])\n", + "Ms, Ps = run(count=50, R=10, Q=0.01, P=P)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "7bf82908", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kf_book.book_plots import set_figsize, figsize\n", + "from kf_book.nonlinear_plots import plot_gaussians\n", + "\n", + "P = np.diag([3., 1.])\n", + "np.random.seed(3)\n", + "Ms, Ps = run(count=25, R=10, Q=0.01, P=P, do_plot=False)\n", + "with figsize(x=9, y=5):\n", + " plot_gaussians(Ms[::7], Ps[::7], (-5,25), (-5, 5), 75)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "2768bbd2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[array([0.53063885, 0.3041721 ]),\n", + " array([1.55544446, 0.76347564]),\n", + " array([2.78435899, 1.03588193]),\n", + " array([3.94381847, 1.10519678]),\n", + " array([5.01546601, 1.08642624])]" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from filterpy.common import Saver\n", + "kf = pos_vel_filter([0, .1], R=R, P=P, Q=Q, dt=1.) \n", + "s = Saver(kf)\n", + "for i in range(1, 6):\n", + " kf.predict()\n", + " kf.update([i])\n", + " s.save() # save the current state\n", + "\n", + "s.x" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "ee1c3f72", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['alpha',\n", + " 'likelihood',\n", + " 'log_likelihood',\n", + " 'mahalanobis',\n", + " 'dim_x',\n", + " 'dim_z',\n", + " 'dim_u',\n", + " 'x',\n", + " 'P',\n", + " 'Q',\n", + " 'B',\n", + " 'F',\n", + " 'H',\n", + " 'R',\n", + " '_alpha_sq',\n", + " 'M',\n", + " 'z',\n", + " 'K',\n", + " 'y',\n", + " 'S',\n", + " 'SI',\n", + " '_I',\n", + " 'x_prior',\n", + " 'P_prior',\n", + " 'x_post',\n", + " 'P_post',\n", + " '_log_likelihood',\n", + " '_likelihood',\n", + " '_mahalanobis',\n", + " 'inv']" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s.keys" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "c618c6ff", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import kf_book.book_plots as book_plots\n", + "\n", + "s.to_array()\n", + "book_plots.plot_measurements(s.z);\n", + "plt.plot(s.x[:, 0]);" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "d1159f73", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dt = 0.6\n", + "x = np.array([0., 5.])\n", + "F = np.array([[1., dt], [0, 1.]])\n", + "P = np.array([[1.5, 0], [0, 3.]])\n", + "plot_covariance_ellipse(x, P, edgecolor='r')\n", + "\n", + "for _ in range(5):\n", + " x = F @ x\n", + " P = F @ P @ F.T\n", + " plot_covariance_ellipse(x, P, edgecolor='k', ls='dashed')\n", + "book_plots.set_labels(x='position', y='velocity')" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "c8831322", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "59f86f03140344aa997bfdda9b6b6506", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(IntSlider(value=1, continuous_update=False, description='F00', max=2), FloatSlider(value…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from ipywidgets import interact\n", + "from kf_book.book_plots import IntSlider, FloatSlider\n", + "\n", + "def plot_FPFT(F00, F01, F10, F11, covar): \n", + " plt.figure()\n", + " dt = 1.\n", + " x = np.array((0, 0.))\n", + " P = np.array(((1, covar), (covar, 2)))\n", + " F = np.array(((F00, F01), (F10, F11)))\n", + " plot_covariance_ellipse(x, P)\n", + " plot_covariance_ellipse(x, F @ P @ F.T, ec='r')\n", + " plt.gca().set_aspect('equal')\n", + " plt.xlim(-4, 4)\n", + " plt.ylim(-4, 4)\n", + " #plt.title(str(F))\n", + " plt.xlabel('position')\n", + " plt.ylabel('velocity')\n", + " plt.show()\n", + " \n", + "interact(plot_FPFT, \n", + " F00=IntSlider(value=1, min=0, max=2), \n", + " F01=FloatSlider(value=1, min=0, max=2, description='F01(dt)'),\n", + " F10=FloatSlider(value=0, min=0, max=2),\n", + " F11=FloatSlider(value=1, min=0, max=2),\n", + " covar=FloatSlider(value=0, min=0, max=1));" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "1c5566c5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dt = 1.\n", + "R_var = 10\n", + "Q_var = 0.01\n", + "x = np.array([[10.0, 4.5]]).T\n", + "P = np.diag([500, 49])\n", + "F = np.array([[1, dt],\n", + " [0, 1]])\n", + "H = np.array([[1., 0.]])\n", + "R = np.array([[R_var]])\n", + "Q = Q_discrete_white_noise(dim=2, dt=dt, var=Q_var)\n", + "\n", + "from scipy.linalg import inv\n", + "\n", + "count = 50\n", + "track, zs = compute_dog_data(R_var, Q_var, count)\n", + "xs, cov = [], []\n", + "for z in zs:\n", + " # predict\n", + " x = F @ x\n", + " P = F @ P @ F.T + Q\n", + " \n", + " #update\n", + " S = H @ P @ H.T + R\n", + " K = P @ H.T @ inv(S)\n", + " y = z - H @ x\n", + " x += K @ y\n", + " P = P - K @ H @ P\n", + " \n", + " xs.append(x)\n", + " cov.append(P)\n", + "\n", + "xs, cov = np.array(xs), np.array(cov)\n", + "plot_track(xs[:, 0], track, zs, cov, plot_P=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "45f151a1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from math import sqrt\n", + "from numpy.random import randn\n", + "\n", + "def univariate_filter(x0, P, R, Q):\n", + " f = KalmanFilter(dim_x=1, dim_z=1, dim_u=1)\n", + " f.x = np.array([[x0]])\n", + " f.P *= P\n", + " f.H = np.array([[1.]])\n", + " f.F = np.array([[1.]])\n", + " f.B = np.array([[1.]])\n", + " f.Q *= Q\n", + " f.R *= R\n", + " return f\n", + "\n", + "def plot_1d_2d(xs, xs1d, xs2d):\n", + " plt.plot(xs1d, label='1D Filter')\n", + " plt.scatter(range(len(xs2d)), xs2d, c='r', alpha=0.7, label='2D Filter')\n", + " plt.plot(xs, ls='--', color='k', lw=1, label='track')\n", + " plt.title('State')\n", + " plt.legend(loc=4)\n", + " plt.show()\n", + " \n", + "def compare_1D_2D(x0, P, R, Q, vel, u=None):\n", + " # storage for filter output\n", + " xs, xs1, xs2 = [], [], []\n", + "\n", + " # 1d KalmanFilter\n", + " f1D = univariate_filter(x0, P, R, Q)\n", + "\n", + " #2D Kalman filter\n", + " f2D = pos_vel_filter(x=(x0, vel), P=P, R=R, Q=0)\n", + " if np.isscalar(u):\n", + " u = [u]\n", + " pos = 0 # true position\n", + " for i in range(100):\n", + " pos += vel\n", + " xs.append(pos)\n", + "\n", + " # control input u - discussed below\n", + " f1D.predict(u=u)\n", + " f2D.predict()\n", + " \n", + " z = pos + randn()*sqrt(R) # measurement\n", + " f1D.update(z)\n", + " f2D.update(z)\n", + " \n", + " xs1.append(f1D.x[0])\n", + " xs2.append(f2D.x[0])\n", + " plt.figure()\n", + " plot_1d_2d(xs, xs1, xs2)\n", + "\n", + "compare_1D_2D(x0=0, P=50., R=5., Q=.02, vel=1.) " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "af3ababf", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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mzZtTs2ZNfvnll1zXzM7Otlr3x2QykZiYiLu7OzKZrMDfkyAIgiAIT0+SJNLS0vD19X3oZLR5VWKa1W7cuMH06dN59913+eijjzh+/DhjxoxBpVLx8ssvEx0dDUCpUqWszitVqpSl7L8mTZrE//73vwKPXRAEQRCEghceHo6/v/9TX6fEJEcmk4m6detahtXWqlWLCxcuMGPGDF5++eUnuuaECROs1k1KSUkhICCA8PDwhy6eKQiCIBRvoaGhNGzYEIAePXowb948q3KTyUSZMmVITk7Gx8eHy5cvF3qMly9fpkOHDiQlJd233M7Ojg0bNlCvXr1HXmv37t10794dMPd/W7t2rWXdvH379tG7d2+ys7PRaDRcvnzZqr9uYTMYDBw+fJiYmBhcXV154YUXnrpfcGpqKqVLl8bR0TFfYiwxyZGPj0+uhQgrVarE6tWrgX/XCIqJicHHx8dyTExMzAMXR1Sr1blWawZwcnISyZEgCEIJVr16dRwcHEhPT2fr1q1kZmZarSW3evVqy0K/tWrVKvS/+ZIkMXr0aEti5Ofnx8svv4xKpWLBggXcuHGDzMxMRowYQVhYGAqF4qHX69KlCzVr1uTMmTPcuHGDOnXq0KxZM1JSUjh58qTluNdee43AwMACfW958d8FgfNLfnWJKTFD+V944QWuXLlitS8sLMzyP7lMmTJ4e3uzc+dOS3lqaipHjx59rEUMBUEQhJLP1taWIUOGAOZFcZs1a8bChQs5efIkkyZNsmpxGDFiRKHHd/z4cY4fPw5AhQoVuHTpEl9//TWff/45Fy9epH79+oC5S8mWLVseeT25XG5VW2QwGNi1a5dVYtS2bVu+//77/H8zz6KiWbXk8R07dkyysbGRvv76a+nq1avS4sWLJTs7O2nRokWWYyZPniy5uLhI69evl86dOyd169ZNKlOmjJSVlZWne6SkpEiAlJKSUlBvQxAEQSgkkZGRkp+f30PXbevYsaNkNBoLPbbJkydbYpg+fXqu8lWrVlnK33vvvTxfNz4+Xvroo4+kUqVKWc6vUqWK9Ntvv0k6nS4/30Kxkt+f3yWmWa1evXqsXbuWCRMmMHHiRMqUKcOUKVN46aWXLMd88MEHZGRkMGLECJKTk2nSpAlbtmwRcxwJgiA8h3x8fNi7dy99+/bl1KlTucoHDx7MzJkz82V00+PKOVL6vwOJ/rtPq9Xm+bru7u58/fXXfPnllyQkJKBUKnFxcXmqWJ9HJSY5AujcuTOdO3d+YLlMJmPixIlMnDixEKMSBEEQiquyZcty4sQJ9u/fz19//UVqaip+fn689NJLlC1btsjiKleunGV7xYoV9OjRw6p8xYoVlu3y5cs/9vXlcjmenp5PHuBzrsTMc1QYUlNTcXZ2JiUlRXTIFgRBEApMVlYWfn5+lg7Z77zzDmPGjEGpVDJr1iy++uorTCYTarWaiIgIPDw8ijji4i2/P79LTIdsQRAEQXhW2Nra8uWXX1pe//zzz5QpUwZ/f38mTpyIyWQCzKtDiMSo8InkSBAEQRCKwJtvvsm33377wGH6H374IZ999lkhRyWAaFazIprVBEEQhMIWHh7OH3/8wbFjxzCZTNSsWZMRI0YQEhJS1KGVGPn9+S2SoxxEciQIgiAIJY/ocyQIgiAIglCARHIkCIIgCIKQg0iOBEEQBEEQchDJkSAIgiAIQg4iORIEQRAEQchBJEeCIAiCIAg5iORIEARBEAQhB5EcCYIgCIIg5CCSI0EQBEEQ7kuv17Ny5Uo6depElSpVqF+/Pp988gnh4eFFHVqBEjNk5yBmyBYEQRAEs5iYGDp37syJEydylalUKubMmcNLL71UBJHlJmbIFgRBEAShQBkMBrp06WKVGGk0Gsu2TqdjyJAh7Ny5s0DjkCSJiIjbBXqP+xHJkSAIgiAIVjZs2MDx48cB8PPzY8uWLWRmZnL37l1efvllAEwmE1988UW+3E+SJIwmCb3RRERkNGvXryM9K5xM3QXkyrR8ucfjEM1qOYhmNUEQBEGArl278tdffwGwefNmOnToYCkzmUxUrVqV0NBQAK5evUpISMhjXX/psTt8u+UyqVl6TBIYM5KRJBM2Dm6YsjPIvnsZtX8V5CoNMhl806MaA+oHPPB6ollNEARBEIQCdfu2uSnLxsaGdu3aWZXJ5XI6d+6c69i8MJkkJv0dyoQ150lKy8T0T/WMLuY6+rhb5uur7bENroNcZW7GkyT4fP1FLkamPMU7ejw2hXYnQRAEQRBKBHt7e8Dc9ygiIoKAAOtam+vXr1u2HRwc8nRNrd7IO8vPsPlCNEZtOi8oLvPJ620oVUqFLrsVthoVCrkMmRzkMvOPDBlvLdWyIzSFt5ac5q+3mmCvLvjURdQcCYIgCIJgJWcz2vjx4zEajZbXBw4cYN26dQB4enpSs2bNR14vPj2bjp8vZO3mHagUMn4Z4s8nwyoS4i/D01GOn4ctbg4KnO3kOGnkOKjl2Knk2KpkfN87EB9nDTfiM/hk3QUKozeQSI4EQRAEQbAyfPhwbG1tAVi6dCkVK1bknXfeoXv37jRv3hyTyQTAG2+8gVqtvu81srOzOX78OGdu3KbH7/u4Eq/D0UHDgldd6VlbQ9WqIWg09z83J1d7G6YOqIVCLmPt6busOhmRf2/0AUSH7BxEh2xBEARBMFu5ciUDBgywqjXKqU2bNmzcuNEqOUpOTiYjIwM/v1IYDLF8NXUuy8L90Ko9CXBTMHeYK2U9H7dZzBfw4dddV/lhWxi2SgV/vfUCIV6OliNEh2xBEARBEApcnz592LVrFy1btrTaX6pUKb744gs2btyITCbj4sWLZGVlAhlcvnyQvXuXA+dYf/YGi+JroFV7UjtAydo33Z8gMfrXGy1CeCHEnSy9kdFLTqPV3z9pyw+i5igHUXMkCIIgCLndvn2bW7duYW9vj4ODAzY2NoSE+JKVFcvixUvo0KEO/v4eZGfrUCjkTNudxS87MwDoVE3Dj32d0ShlT3h3c80RQGyalo6/7Cc+XcfABgF806MaIGqOBEEQBEEoRBkZGcTGxtKkST3q1g0gJuYU4eF7gFBsbRMYOrQ1/v4eAMgUSj5YnW5JjEY2t2fagKdJjKx5OWr4uV9NZDJYcvQOm85F5ct1/0sM5ReEIhYbG8uxY8cwGAxUrlyZ8uXLF3VIgiA851JTU8nOzsbT0wW9/i6hoTsJDk7F3d2F5s0rWB1rY2NOJSRJYsKaFNac1qKQw1fdnRhQ3y7fY2tazpM3mpfl9z3XGb/6HNX8nHFR5u89RLNaDqJZTShMkZGRvP/++6xatQq9Xm/Z36xZM7777jsaNGhQhNEJgvCsMxgMbN++nbCwMNRqNQ0bNvxnWL6BLVtWYzSm0KlTHcA8K7Zc/vDGpl93pfPDtnQUcpg12IXWlTQPPT7v/m1Ws8RuNNF/1hFO3E6iur8zcwZWxdPdNd8+v0VylINIjoTCcvfuXRo3bsydO3fuW65Wq9m0aROtW7cu5MgEQXgeLF68mPHjxxMR8e+weDs76NKlPj/99ClOTs5oNCpLrdCj/HU2i7eWmmew/qq7E4Ma5meNUe7kCOBuchYdf9lPSpaeQbU9+bpfA9HnSBBKsjfeeMOSGLm5uTF27Fg+++wzypUrB5jnBxk4cCBarbYowxQE4Rk0ffp0Bg0aREREBHZ2EBQENWqY/3vlyjGGDRtGWlpqnhOjk7d1vLfSnBi91sQunxOjB/NzseWHPjUAWHA470uY5IVIjgShkN24cYONGzcC4O3tzYULF/j555/53//+x8WLFy21RbGxsaxYsaIoQxUE4RmSmZnJunXrmDBhDKVLQ4UK0K1bDX755TPefns0gYFeyOUQHx/PTz/9mKdr3kkwMHxBEjoDtK2sZkJHx0eflI/aVi7FsBeC8v26IjkShEK2Z88ey/T3b7zxBj4+/1YXK5VKPvnkE8vrnTt3Fnp8glBc6PV6EhMTrfrkCY8nOTn5n4VhtSiVcWzaNIPSpQ14esKQIT1ZsmQ2Xbt2ZdiwoSxevAQ3N1fA/HcqNjb2oddOyTQxbF4SiRkS1fxs+KW/Mwp5/oxKexzjX6xIJZ/8TcpEciQIhSwrK8uynTMxusfX19eyLZrVhOfRyZMnGThwII6Ojri7u2Nvb0+fPn04cuRIUYdWIiQkJKDT6QA9oaEHOXp0DXARpTIejSYVlcp83ODBg63Oc3V1oUuXLgCYTBIXLlx44D10Bok3FidzPc6Ij7OcP192xU6VvymFXm8gIyPrkcepbRSW5rX8IpIjQShk9/oVAaxatSpX+cqVKy3bISEhhRJTYUlKSmL27NlMnDiRn3/+mbCwsKIOSShmFi9eTIMGDVi6dCnZ2dmAuQZp1apVvPDCC/z5559FHGHxI0kSGRnmeYUyM5NYvXout2/vAs5Ru7YbvXs3sRybcykQO7vcfYNsbe3ue+x/7/fJulQOXddhr5IxZ6grpZwU+fRuIDY2kY8++o2AgE58//2CPJ0T6G6fb/cHkRwJQqFr3bo1AQEBAGzbto0333yTW7dukZSUxC+//MKXX35pOXbYsGFFFWa+MhqNTJgwAT8/P1577TU+//xz3n33XSpUqECXLl0eWX0vPB/OnTvH0KFDLR/K7u7utGvXDk9PT8A8nPz111/n6NGjRRlmsWAymSyLvx44sIPNmxcDl7Czu0G3btUpW9YdALVaZTUEv2zZspbtv/76y+qaer2BLVs23/fYnKbvzWDFiSzkMvh1oAuVfPJ3kiGdTs+3384nOjqBOXM2PDBJK0giORKEQqZQKJg0aZLl9fTp0ylTpoxl1Nq9b8sjRox4JmqOJEli+PDhTJ482apJ8Z6NGzfSvHlzkpKSiiC6gnPgwAEGDBiAj48P7u7uNGnShLlz51r+/wq5TZkyBYPBAJi/GERERLB161YiIiIYNWoUYE4Kfvrpp6IMs8ilpaWxYMEsIiNPAuepUkVB06ZBgPnfV6lS7g+ck6hHjx6W7enTZzB9+gyuXbvGsWPHGDPmLW7dMo/6qlmzBsHBwbnO33ROy3db0gH4oqsjLSuqcx3zOC5fvsWxY9bNd/7+pejY8QVsbBTUrVuZpKTkp7rHkxDzHOUg5jkSCtPvv//O2LFj79vZdNiwYcycOROlMp+nfS0Cu3btsozAs7Gx4fXXX6ddu3aEhoby008/WWqNxo0bx3fffVeUoeYLSZIYN24cP/54/9E+derUYcuWLXh4eBRyZMWbJEk4OzuTlpaGk5MTkZGR2Nv/21SSnZ2Nv78/8fHxKJVKMjMz8zzU/Flw69YtIiPv0LhxeSCOCxcuERjog6Pj4zcnTZ48mZUrczfp36NSKZk1axbVqlWz2n/qjo4BsxLJNsCwF+z4vMuTf06mp2fSsePb7N9/mkaNqnPo0Byr8rCw2zg52ePt7cGD5jnKKb8/v0VylINIjoTCdvfuXf744w8OHDiAXq+nSpUqDB8+nFq1ahV1aPmmT58+lr5Vs2bNYvjw4Zay69evU7lyZXQ6HW5ubkRGRqJWP9030aI2depU3n77bctrJycnHB0duXv3rmVfs2bN2LNnDzJZ4Y/sKa50Op3l/32jRo04dOhQrmPatm3Ljh07AHP/NRcXl8IMsdDFx8ej0WhwcJAICzvG7dtXaN263iNnqn4Ug8HAlClTWL58OSaTdQrg7u7Gl19+mWuG/qM3dIxakkx8uok2ldTMHOzy1CPTatYcyNmz5n6HFy4sp0qV+zfjieSoiInkSBDyX2BgIHfu3MHR0ZGEhIRctWE9evRg3bp1AFy8eJHKlSsXQZT5Q6/XExAQQHR0NAA//fQTb775JiqViv3799OvXz9L2d69e2nWrFlRhlusSJKEq6t5+Qd7e3siIyOt/g5nZWXh5+dHUlISGo2GtLS0Z7LmSJIkZDIZJpOORYtmUrmyF3XrFkzzelRUFBs3buT27duo1Wrq1q1L69atUd0bzgakak1M3pzGkqPmJrsqvjaseN0Ne/WjEzSTycTBg2dZtOhvjEYTf/75qVX5Dz8sZPbs9Qwf3p1hw7ri6vqgz93CT46evSdLEIRi5V6nUYVCcd9vvDn/EN87tqTatWuXJfnp0aMH77zzjqWsWbNmfP/995bh04sWLRLJUQ4ymYz+/fszc+ZMMjIyGD58OLNmzcLZ2Zn09HRGjx5t6ZfWu3fvZzIxCg8PZ//+7fTp0wSlMp0uXari7OxQYPfz8fGxqsn9r+2XtHy6LpXoVPO/ywH1bZnQ0TFPiRGYE72+fccTHZ2ASqXk++/ftkqAxozpz3vvDSqWNaiiQ7YgCAWqRg3z/CPJycmsXr3aquzeN1cABweH+3YALUlyNp21adMmV3nOfZGRkYUSU3Fz8eJFPv74Y4YNG8Y777xjNSnq2LFjLU1rK1aswNfXl4YNG+Lr68v8+fMBc7+1d999t8jiz2/79u3l0qUTQATOzhGUK2eDyZQASLi6Oj11E9qTiEszMmpJMsMXJBOdaiLIXcGyEW5M6umMkyZ3PLdvRzF37gZ+/HGR1X6FQsGAAe0BUCptOH36ilW5SqUslokRiJojQRAK2Ouvv86mTZsAc0fzK1eu0L59ey5dusTXX39NZmYmAEOGDLnvvCslSc4+MOfOnctVfv78ecu2s7NzYYRUbKSlpTF06FDWrFljtX/KlCnUqVOHlStXUrFiRZYvX06/fv3Izs4mMzPTati+jY0NCxcuLNF98uLi4rh48QLNm9dGJktBpQrHxsYOkOHkpKJevSpFFpskSaw+peXLjamkZEko5DC8qT1j2zigUd4/iZEkiYYNhxIdnYCDgx1jxvRHqfw3tRgxoid161amW7fm2NvbFtZbeWqiz1EOos+RIOQ/k8lEjx492LBhwwOP8ff359ixY/edMbwkSUlJwdfXl8zMTNRqNbt27aJx48aAedbi9u3bc/LkSQCWL19O3759izLcQmMwGGjTpg179+594DGlS5fmxIkTeHl5cfnyZX755ReWL19OUlISzs7O9O7dm7Fjx1K1atVCjDx/XLlyBQcHO/z8HImOvsqRIwdo164+dnaaog7NIjzRwEdrU9l/VQeY+xZ928uZqn5KjEYje/eeYvXqXbi7OzNx4kircwcM+Ihly7YBcPjwXBo2rJbr+k9HdMguUiI5EoSCodVqefPNN5k3bx7//ZNTt25dli9fXuKb1O55++23mTp1quV1y5YtcXd3Z+vWraSlpQEQFBTElStXrPpbPcuWLFnCSy+9BJhr1z7//HNat27NuXPn+OKLL7h27RoA77zzTq45jAwGQ4nsXxQfH//PdA1prF+/FD8/e+rWrVjUYeWiM0gsOJzJj9vSydJLqG1gbBsHXmtqj1Jhri2Ki0vCx6cDRqORwEAfbt2ynjxy06YDnDwZSqtW9ahfvwoq1dNPQZKYmMi6devYsWMHV66kAT7069ePV199FXd391zHi+SoAInkSBAK1s2bN1myZAkRERE4OTnRtWtXGjduXGz7HTyJrKwsOnbsyJ49e+5b7u7uzs6dOy19sZ4HLVq0sNQabdmyhfbt21vKIiIiCAkJITs7GxcXF2JiYkps0nhvpNmtW1fYtm09ffu+gIuLBpPJVCR9hx7GYJRYczqLqTsziEgyz0DdoIyS12qk4iCl0ahRdavjX3xxDFu2HMLGRsHt2xvx9fUssNhOnTrFu+++S1qaebLJyEj4Z5wD7u7ubNy4kYYNG1qdI5KjAiSSI0EQ8kN2djZTp07l999/59atW4B5HauXXnqJjz76iKCgoCKNr7C5ubmRlJSEr68vERERuZLhbt26WZpdr1279sBlK4qzvXt3o1Bk0qRJOYzGZGJjk/D2di92ib/RJLHxnJYpO9K5GW9Oijwd5bzRRMmUMaM4fy6MBg2qcuTIPKvzdu8+QWxsIp06NcHBoeD6BkZERDBw4EAyMjIt+3Q6dy5cSLC8dnFx4dy5c5QuXdqyL78/v4tXKisIgvAMUKvVjBs3juvXr3Pr1i2uXLlCfHw8s2bNeu4SIzCPWgJz0ni/6RrudcrPeWxxl56ezt69e9Fq44HbeHun4O2tB9JQKBT4+HgUq8RIkiS2XNDy4i8JvL0shZvxRtzsZXzc0ZF94zx5pbkrMsx1JUePXuDGjQir81u2rEu/fu0KNDEC8xQX9xKjhg0bsGHDes6fP8/Vq1dp3rw5YB75mrPpuiCI5EgQBKGAyOVyAgMDKV++PLa2JWekTn5r1KgRYO6UvnDhQquys2fPsmvXLgD8/PysagOKm7t373Lz5k0gA4UiipiY46SlnQHiqVChNCEhxS92SZLYdVlL52kJjFyUTFiMAYVRS+mkQ+z7wJPhzeyxVZmTuIED29OwYTV++eX9h0zIWHBMJhObN5sXvtVoNEyaNAk/Pz8AQkJCWL58uaXJdcGCBQUaS8nr5SYIgiCUKG+88YZlBfjXXnuNI0eOWDpkT5s2zVKb9PrrrxermiOj0UhERAT+/v4oFFlcvXoQrTaBMmXqY2sLffu2LOoQH+rw9Wy+25rO6Tvm9RvtVTJSjq3lzp6lREg69JPbgPrfJOiDD17mww+HFlG0kJGRSXp6BgDVqlXN1TxWqlQpateuzZEjR4iNjUWn0xVY/zRRcyQIgiAUqA4dOlhmBjcajcycOZO+ffvy1VdfkZKSApgX5C0OkzuaTCYyMjIAidTUSLZuXUp09C7gCk2aBNKhQ/2iDvGRjEYjP64IZeAfiZy+o0ejhNeb27P/Q096V8xAys7Aw8OFsLA7VucVdTOgRqNG/s96bXfu3MFoNFqV6/V6rl+/DpibrgtyYW6RHAmCIAgFSiaTMXfuXD766CPs7a1XkTfPojyAnTt35iorCrt2bWbnzuXAeVxdY+nXrxF+fm4AJWJKAUmSqNBkAlOPOSAho0t1Nfs+8GTCi4642csZPbovO3dO586djTRoULzmjFIqlZZRaDExsSxcuNAy9YckSXz99dfExcUB0LFjxwJN5sRotRzEaDVBEISClZKSwvr164mKisLZ2ZnOnTvj7+9fZPGkp6ezbdtmmjatgqenjLi4u8hkMjw8XIosprxKS8vg1q0oqlX7d2HaqzEGOvwQgVGhIfPKIea85kXnTk2KMMrHc/jwEUaPHm15XbFiBVxcqrN//2WrGeb37dtH06ZNLa/FwrOCIAhCieXs7MyQIUOKNIbIyEgSEuKpVi0AO7s43NySkMujABc8PV2LNLa8MJlM9Ow5ji1bDlO6dCnCwtYgk8mISTUydG4iRoUG+6y7fNpNzQuNqz/6gsVIo0YNGThwML/9thCDAS5fvkJmpvWabJMmTbJKjAqCSI4EQRCEZ5per+fSpUsEBQXi7KwiNvYct29fpmrVJsjlMlq0qFPUIQJwI85Apk6iqt/D+9LI5XJSUtLJztZx7Vo4Fy9eJzAkmJfnJHE32USwp4LVI2vhal9yes4kJqaQmanF3z+YUaO+IT7em82btxEeftZyTMOGDfnggw/o0aNHgccjkiNBEAThmZBzJuqzZ8+i02VQr15lZLIUTp/ejLNzNZydvalRw4OaNQu25uFxnbytY+AfiWQboEctDZ90csJOoWPVqp1cuXKbr7560+r4Hj1aEhZ2h+7dW6BQqnljUTKXow14OMiZP8y1RCRGer0BhUKOXK7k3Ll4kpMl/P0rotHApEnfMWnSd9y6dYuEhAQ8PT0JCAgotNhEn6Mcnpc+RyaTiX379nHu3DkUCgWNGjWidu3aRR2WIAjCY5EkCYPBgFKpJDIynC1b/qJ//w7Y2UmcO3canS6LunUrW44t6tFYD3I9zkCv6QkkZ/77cexiKyP76BIub16MXC7n9u2/8PcvZSnPztahVNogk8l4b0UKa05rsVPJWD7CjWr+BTeKK79kZWlZtmwvLVu+SFBQDbRa87D8J11mRcyQ/Y/Jkycjk8kYO3asZZ9Wq2XUqFG4u7vj4OBAr169iImJKbogi6GtW7dSqVIlWrZsydtvv83o0aOpU6cODRo04MyZM0UdniAIwkMZDAbL9tq1yzh5citwBVfXO9St64ZcHg0kU716GUtiBI8epi5JEvHpRk7c0rHyRCbLjmWiNxZ83UFsmpGX5ySRnClRo7SSpcNdqeRjQ3KWRFb1AZTq/w1yFx9Wr95ldZ5abU4kvt+azprTWhRy+P0ll2KdGF2+fIsdO84Aftja1qNBg+54epYH5Gg0mmK1/lyJbFY7fvw4M2fOpHp1645m77zzDps2bWLlypU4OzszevRoevbsycGDB4so0uJlw4YN9OzZM9fcEQDHjh2jWbNm7N27l1q1ahVBdIIgCLlJkoTJZEKhUHDt2hX27dvGkCEvYmOTSa1a9jg4aIB0bG01VK9e7pHXS8kycTPewK14Izf++e+tBAM3442kaa2ToWO3dPzQ29ky905+S8820eOnO9zNssWYHMUvb4cQ5KNmw2gVcw5k8tP2NAisTuDrM6CKA9kGCbXNv7EsPJLJ73vMkyZO7ulEiwrqAonzSRkMBs6du0ZgYADu7mXQaOyxt09Ckkohk8moXLnyoy9SREpcs1p6ejq1a9fm999/56uvvqJmzZpMmTKFlJQUPD09WbJkCb179wbg8uXLVKpUicOHD+dawfd+nuVmtaysLEqXLk1CgnnxvsaNGzN06FAyMzOZMWMGly9fBqBu3bocO3as2FY/C4Lw/JAkieXLF1Kxoi81a5YmPT2OiIgYQkL8n2jOoZ+2pzFtVwYP+9Tzc5ET4GbDsVs6jCYY0cyOjzrm/+eB3ijx6vwk9oXpMGYkE73ofRZOf4v+/dtbjglPNPDJulT2hukAKOup4JsezjQIVrHtopaRi5IxSfBuWwfGtHbI9xifRFpaBklJaQQE+CFJLqxYsYfatV+gXLlHJ65P47kfyj9q1Cg6depEmzZt+Oqrryz7T548iV6vp02bNpZ9FStWJCAg4IHJUXZ2NtnZ2ZbXqampBRt8EVq5cqUlMerUqRMbNmywVGGOGDGCunXrcunSJU6cOMHx48epX7/4zwIrCMKz5/r165w8eZA+fVoik6VQu7YDbm4yIB0HB1sqVgx6ouv+fV7L1J3mWhYvRzlBHgqCPWwI8lAQ5G5DGQ8Fge42aJTmL4arTmbx/soUZu3LxN1ewevNn3yCyqtX77Bq1U527TrO5s1TUSgUjF+dwr4wHSqFidur/oe3g4RWq7M6r7SbDfOGubLxnJb//ZXG9Tgj/WYl0rm6hh2hWkwSDKhvy1utim7yTIPBwLVrEfj6euDk5MnNmwmcOnWbwYPboVAo6dv35RL5ZbtEJUfLli3j1KlTHD9+PFdZdHQ0KpUKFxcXq/2lSpUiOjr6vtebNGkS//vf/woi1GLn0KFDlu13333Xqm3X1taWUaNGMWrUKAAOHjwokiNBEAqFJEns3LmDoCBPQkLccHG5S3CwDKMxEhsbG8qXD3zqe9yIM/DBKvMyJa83t2fCi46PPKd3HVsSM0x883cakzan4WYvo0/dJ1uR/u23f2DzZvPf4P37z3BaX4HVp8z9hH4b6IJzt4+pV6/KfZMImUxGlxq2NCunZvKWNJYey2LjOS0ArSqq+bKbU6EnH3fuRJOenknlypWRyew4dOgYTZtWxsmpEhUrhlCpUksUCqUl/pKo+PR+eoTw8HDefvttFi9ejEajyZdrTpgwgZSUFMtPeHh4vly3OMrZidHBIXf1a859OY8VBEHIb1FRUezfvxdIQSa7jVodgUJxB4jD3d2eunUr59tSHVk6iTcXJ5OeLVG/jJJx7fLe/DSimT0jmpkTovFrUtlxSfvQ400mE8ePX8y1f9iwrpbtOXuTmLrLXIP1dXcn2laxo379qo9MIpzt5Ezq6czKkW7ULK2kRQUVvw50xkZR8MmHVpvN8eMX0WolwIPoaBW3b2uAKigUZRgy5A3KlasEgEqlKtA1zwpLiUmOTp48SWxsLLVr18bGxgYbGxv27t3L1KlTsbGxoVSpUuh0OpKTk63Oi4mJwdvb+77XVKvVODk5Wf08q6pW/XcNnXnz5lmVSZJkta9atWqFFJUgCM8Dk8nEmTNniI6OABLQ66+TnHwavf4ykEDTptUpU8avQO792fpUy/w/vw5weexkYnwHR3rV1mA0waglyRy/pbvvcX/8sZayZbtTv/7LXL58y6qsa9dm/PTTOyzevZ6D2ea/r2Na29O//uPXRNULUrFulDvzhrlhpyq4j/C0tAyio+MBGyTJk9BQLYmJvkAg9eu35cUXu1iOLQlrzj2uEpMctW7dmvPnz3PmzBnLT926dXnppZcs20qlkp07d1rOuXLlCnfu3KFRo0ZFGHnxMGjQINRq80iG6dOnM3r0aE6dOsXBgwfp27cvu3fvBiAwMJC2bdsWZaiCIDwDEhMTuXjxIpCNXB7H9ev7SUw8AtwiIMCWLl2aolQW7IfqiuOZrDyZhVwGUwc44+WkeOxryOUyJvdyplVFNdkGeHVeEpej9bmOM69zFgnAvHl/ARAREcG0adN488032HcxlM+2mDBJ0LeuhnfaFI8O1DllZWkxmUyAglOnIjlwIAaojq1tOQYNeg1fX9+iDrHQlLjRajm1aNHCMloN4I033uDvv/9m3rx5ODk58dZbbwHW/W0e5lkerQbw3Xff8eGHHz6wXCaTsWbNGrp37154QQn5zmg0EhkZiUwmw9fXt1jNHSI8uyRJIjIyEicnJxwd5Vy+fJKTJ4/Qv38LFIrHT0qe1qVIPT1+TyDbAOPaOzCq5dMlI1k6if4zYjkbKWGjT2PFCBdqV/C0lMfGJhIQ0JmWLesyalQfkpNvM3XqVIxGE0Y7X1LqfYekckEZf4JenkeY+L/PUKlUT/s28016upalS/fSrl1nAgOrkZmZhVKpLDFNZGISyIf4+eef6dy5M7169aJZs2Z4e3uzZs2aog6r2Bg3bhyTJ0++7z9IJycnFi9eLBKjEiwpKYmPPvoIHx8fAgICKF26NAEBAXz55Zekp6cXdXjCMyozMxMAScpi585VXLu2GbhM+fK2DBzYqkgSo1StiTcXJ5NtgJYV1LzxFCPN7rFVySgfswFd3C0MSkdeXZhOfPq/c8Z5ebkRFbWFzZunkm1I49v5e0gtM5iU+j+S3Hg6ksoFRepVHM9NZvu2LUyaNOmpY3paZ86E8fffp4AyODg0pFWrfnh7VwBk2NnZlZjEqCCU6Jqj/Pas1xzdExsby4IFC6yWDxk4cOB9O2oLJUNkZCQtWrTg6tWr9y2vWbMmO3fuxM3NrZAjE55lFy+e5dixPQwe3AobGx3p6Zk4ODzZiK78IkkSbyxKZsvFbPxc5Gx8y+Ox1xmLjU1kzZpdDBnSGTu7fwcAnT0bRp0mb+E96DtsnEtRzc+GpSPcUClknI3Qc+iajoPXtBy/kYUkt04sqvsp6Ol5mD+mfYtWa55CZvXqVQQFBT31e84rnU7PkSPnqVy5Kh4eZQkPTycpKT3XhMol0XM/z5Hw9Ly8vHj//feLOgwhHw0cONCSGNnY2NC6dWsMBgO7d++2dIYdPnw4q1evLuJIhZJMkiS2b9+Kn58TVap4ERiYhr19MHK5FpAXWWKUnJxMWloaLi6urDgrY8vFbJQK+O0ll8dOjH74YSETJvyKwWDEy8uNnj1bWcqqVy/HxAn9qNxAxcRDMs7fNdBhSgKJGSYydTnqGeRK5No4/GyiGDugKY3KqvB1UQBdQZvItGm/AvDXXxt5663R+fEreKDk5DTi45MJCQlBqfQhMTGczEw/wIvSpb0oXbpAb19iieRIEEq4EydOsHfvXgD8/f3Zs2cPZcuWBeD8+fO0bNmShIQE1q5dy40bNwgODi7KcIUSJjY2lkuXLtK8eR1ksiRcXROwt9cDahwcbHFwsC2y2Pbv38/ChQs5efIUAAaXiqTW/RZkCj7p5EjN0g/v03Ov4STnMPoqVYIxGMzNZStX7rBKjmQyGR999AoAwRX0DJiVSESS+Vg3exmNyqpRJ51n17LvkWdG8u4nn9CjjvXvp1WrVpbk6O7diKd5+w8UH5+Mvb0GW1tHbt3ScvFiIsHBlZHL5XTv3qdA7vmseab6HAnC82jdunWW7U8++cSSGIF5WoZ33nkHMH8QrF+/vrDDE0qgc+fOERFxG0jCaLxJcvIZtNrzQDz16lUkKKjoRy39+eefjB37jiUxMimdSKs2HkmmQB2zD5e4nQ88Nyoqnu++m0+VKn05deqyVVnbtg2oW7cyH3wwhPHjhz7wGtX9lawY6cZX3Z3YMtadEx978dtAF1qUTkKRGYkMiInJPQFxzsXQ1er8mbNPkiRSU839Cg0GBevXn+bqVRugOlWrtmHAgKFiYMZjEjVHglDCJSUlWbZr1qyZqzznvv/OAyYUDzqdjuvXr2M0GgkODsbOrmCbp7RaLQsWLODPP/8kNDQUGxsbateuzSeffEDLlrW4ffswJpMT/v7l8fGxoXv3ZgUaz+M6dOgQ06fPsLwuHRBAdIUPMeGBPCMc+4vT+PpiNpUrV7rvml6bNh3gww+nAeZh93XqVLKU2djYsGPHNLKysh7ZR6+Kr5IqvtZ9i+rVq4dMBpIEq1atokePHpQqVQow/3/+448/LMc2bNjg8d/8P+4tIK5QKDh+/DphYXG89NIr2NjY0b17aVxdXS3vR3h84rcmCCWcj4+PZXv37t00aGD9B/feHFbAAydEFYpGamoqkydP5o8//iA+Ph4Ae3t7Bg0axKeffoqfX/5PjBgbG0u7du04e/YsAHZ2oFRCaOgu3n13FwMG9GXcuHHFetmHxYsXA2DUeFKn+zii1dWJjjSgUUKXUifYZcwiNQMGD/4ISbLjm29G0br1v0si9enThrfe+h6tNpuIiFjAXPuyefNmli1bxsWLlwDQaNR06NCBIUOGEBiYt2VMfHx8aNGiBbt37yEpKZk+ffrQoUMHHBwc2LZtG1FR5tokDw8PWrdu/UTvX6fTs3jxbpo0aUm5cjWpWLEcQUFaZDJzUu3u7v5E1xX+JUar5fC8jFYTni3Xrl2zfDt2dHRk+fLldOjQAUmSWL16NYMHDyY7OxuVSkV4eDheXl5FHLEA5kkSW7Zsyblz5+5b7u3tzd69eylfvny+3O/WrVtERkbw+efvc+HCUQCcnaF8eV/S0tJISUnjXj40duzbDB48OF/um9+uR6XT5c2f0ZVqisGlomW/UgE/9nWmTTmJ9u3bExGRxa1b5rKJE0fy6aevWV1n5cod1KpVgZCQ0phMJr766ivWr99w33va29vxyy+/UKtWrTzFGB8fz6uvvkZExP37FGk0aqZNm0bt2rXzdD0wr2cWFnaXNm06Ax5cuXITX19fHB0fvU7c80DMcyQIgpWQkBAGDBgAQFpaGh07diQgIAA/Pz/69u1LdrZ52PCIESNEYlSMjBw50pIY2djY0LVrV/r372+ZUiM6OppevXr9M2Px48vMzGTDhnXExl4D7pKdHcqpU6tITDyKry9Ur+7OihVz2LBhA9u2bWf8+A8s5y5YsACd7v7LZBSFmFQjcw9m0Ht6Aq1/SSezwnBzYiSZ0EVcIGHrbyzpr6drDVvs7Ozw9/cnZ8tkRERMrmv26dOGkBDzUK0VK1ZYJUYhIWVp3rwZDg7m+ZEyMjJ57733SE1NzVO8Hh4ezJ07h27duqJWW3cKb9iwIbNnz85TYhQTk0BSUirghFweBJTBYPACVFSoUEEkRgVINKsJwjPgjz/+IDY21rJ8zn+/sfbo0YMff/yxKEIT7uP27duWaRXc3Nw4cOAAlSqZ+73ExsbSokULQkNDuXDhArt27aJNmzZ5uu6VK1dITU2kXr2yaDQJ2NtHIZM5AK5UqODFypW3LceOHfuOZX4bpdKGvn37cvLkSXbs2EliYhLHjh2jSZMm+fvGH9OFu3q+3JjKsVt67rVxyGRgk3QRVdQ+tNdOEnXJ3Ex1ZE8V6lXrT1xcPDdu3ECthnr1XNi2bS0uLg9OIoxGo6WZDuCrr76kQ4cOyGQy0tLS+eCDcRw7dpyUlFQ2btzIwIED8xS7m5sbn332GWPHjiU0NBSDwUCZMmUeuQSH0WhEoVAgSQp2775GQEBlGjcuh78/+PtXydO9hacnao4E4Rlgb2/Pli1bWLx4Mc2aNcPR0REnJyfatm3L6tWrWbVqVbFaquB5t2XLFkuN0FtvvWVJjMA8D9nnn39ueb1hw/2besDcwffMmTNkZCQDcej1V8nKugCEI5dn0rp1fTw9XS3Hx8XFW7br1aub63p169azbCckJDzBO8s/uy5r6TMjkaM3zYlR9t1Q3m+l5PB4T/q670ITsQmVKRo7OxX9+7elevVyxMTE8Nlnn2IwGJHJYPDg7g9NjADCwq4SGRkFmDtIv/jii5b+Vo6ODnzwwb81art27Xrs9+Hk5ESDBg144YUXHpkYRUXFs3DhLjIzvZHJatC58xAaNWr+2PcUnp6oORKEZ4SNjQ0DBw7M8zdboejkbJ6pXLlyrvIqVarc91gwN52mpaXh6+sFxHH27FZcXatgb+9D1ao+gA8P4uT0b6IQFhaGh4eHVXlY2BXLdlE02aSmpuPk5MDio5l8ui4VkwRepmhOzZiAMS0Oj05f4+3cniFDhrBz505sbQ1UqKDjxo3dTJlymYiICEwmcxWTg4MDffs+ek6ftLR/f78VKlTIVR4UFIRKpUSn05OWlpZ/b/Yf+/adxt7enTp1muDqWp7q1T1RKDwAmVi1oAiJmiNBEIRClnMU2rZt23KVb9261bLt7+9PYmIier0e0HP+/H727VsOnEOlimbw4FYEBj44IcqpRYsWlu1p06aRmJhoeX3q1Ck2btwIgK2thnr16v/39AIzffoqGjUaRlBQN77ZlMzHa82JUZ86tnzZVoebxsDgwR0t77NChQpMmjQJtVqJTAYGg4E7d8ItiZGjowNTpkyxDKF/mJwju+7NmZTThQsX0On0uY59UgkJyWzZchiDwQEIwtm5Fg4OlQFPNBpHateujVqtfur7CE9HjFbLQYxWEwShMKSnp+Prax4lJpfLmTZtGq+99ho2NjZs2LCBwYMHWxYLPnnyMCdOHKBVq+qEhLiTlaXFxsYGpfLxK/71egO9e/e29EnTaNQ0aNCAlJQUzpw5azlu4MABvPfee/nzZvPgpZc+YcnyHXh0HIt95RYAvNPGgTGt7TGZTMhksvtOYhgREcHKlSvZuXMnqampuLu70759e3r16o2np0eu4+9HkiT69x/AtWvXABgxYjhDhw5FrVZz+/ZtPvjgQ0vZ559/RteuXR/7/YWG3kSlUlO2bFVSUuQcOHCOZs1aiA7V+Si/P79FcpSDSI4EQSgsEydOtOpbZG9vj0qlIikpCaUS7O1h2LAX+emnL4mKisfLyzVfVri/fv06I0eOJDEx6b7lDRrU5+eff8732ovdu0+wdu1uzp69yp49M63mUVq4fDfj1hvQBFRDLpP4rrcLvesU3rIk27dvZ/z4CZbXDg4OeHp6cPPmLcs+f38/li9fjkbz6FmtTSYTkZFx+PmVQiZzZseOCzg5+VC//pNP+ig8nEiOCpBIjgRBKCwmk4lRo0YxY4Z5pmelEtzcwN0dbGygVq3aTJ/+C7a2+Z8kxMTEMH/+fDZu3EhGRiYApUv707dvX/r06YNSqXzEFR5fu3aj2L7dPL/SmTNLqFHDPH9TeKKBoXMSuR5vwkEtY8YgF5qUK/xmpblz5/Lrr7/dt8zbuxS//fYbQUFBD73GvZFm0dHpbNhwnO7dB+Dllf8TeQq5ieSoAInkSBCEwnL58mXi4u6iVKayatUsjhw5hkYDlSpVoGfPnjRv3rzA18PS6/XExcWhVKrw8HB/4KzYMTEx3L17F7VaTbly5R448jE2NpGVK3dw5cptpk4dZ1X2228rGD36O5RKG2bP/pTBgztxPkLPsHlJxKeb8HaSM3eYK5V88j8xy6vz58+zbNkyDh8+TFZWFr6+vnTp0oWePXs+8jNh797TZGdraNeuB2BPQkKCmKm6EInkqACJ5EgQhIKi1+u5cOECwcGlcXY2EhZ2iri4SF54oWZRh/ZA58+fZ8aMGRw5ctSyz9XVhZ49e/LKK6/kamKqVKk3ly/fAuDu3c34+npayqKi4tm//zTt2zfC2dmBXZe1jFqcQpZeoqK3DXOHueLj/PTNhoUlIyOLQ4fO0aBBI5ycgrhzJwWTiUfWLgkFQ8yQLQiCUEKkpaURHh4OGJHLE7l4cQcJCQeBCMqX9yrWidH+/fsZPny4VWIEkJSUzJ9/zmHQoNfQarVWZf36tbVsb9t2xKrMx8eDvn3b4uzswMLDmbw2P5ksvUTTcipWjnQrEYnRnTvRXLp0E3BCrQ5Bq/UlM9MHcCUgIEgkRs8QUXOUg6g5EoQnc+PGDRYsWMDNmzext7enffv2dOrU6blbEVySJOLi4nByckKjUXDixB4uXz7LSy+1RCYz9zMq6Kay/JCcnEzXrl0t/ZH8/Hxp2rQZsbExLFu2h9hYCYMBJk3qzwcfvG857/r1CP78cx39+rWlRo3yuZrpDEaJiRvTWHDYfN0+dWz5pqcTSkXxXOTWYDBw48ZdAgJ80Gg8OXbsJomJOjp06FTUoQn/IZrVCpBIjgTh8eh0OkaPHs2ff/7Jf/+UBAcHs2LFCurUqVNE0RUOo9FIeno6zs7OZGcns2DBnzRtWomKFb3JztYhl8ufaNh9UVq4cCFTpvyCBNRo2Z+yLYZz5Kaeqr5KQpd/z4aVWwCoUEHN6dM78tRpPCXLxOglyey/qkMmgw/aOzCyuf0D+zkVFYPBQFpaJq6uzmRlqVm0aDtt23YhKKgskiQVu3gFM5EcFSCRHAlC3kmSxMCBA1m2bNkDj3FycuLo0aNUrFjxgceUREaj8Z+5d2QcOLCdiIir9O/fHMgmPj4ZNzenx64hik01otVLBLgXbSIlSRLtB3zExTR/5AEvoHD2tip3UBq5vX4a8ts7KFUKFi+eTr169R5wNbPbCQZemZfE9TgjtkoZU/o7077Ko4fEF5Z7H4MymYy9ey8RHa2lX79XAAVarTZPw/eFoiX6HAmCUCwcOHDAkhhpNBq+/PJLzp07x/r166lb17xuV2pqKh999FFRhpnvsrKyWLjwD+7cOQyco1o1Ne3aVQKyAfDwcHmsxChTZ+KHrWk0+TaOVj/Gs+FsVsEE/hCSJHE2XM+kv9No+l08YUFvo6zWC4WzN2qFic7VNUzu6URFbxvS9QrcO47Fs98k7Er5kZmZ+dBrH72ho/tvCVyPM+LjLGflSLdilRhptdksW7aL8HAJqEqtWt3o2LE/YO4DJRKj51PJqusVBKHY+OOPPyzb92Z4BqhWrRqtWrWiXLlyREdHs2HDBqKjo/H29n7QpYq9q1evcufONVq3roGtbSJ167ri7m4EDDg7P9n6V5IksflCNl9tTCUyxWTZ//ayFDKzJfrXt8un6O/v6NELbNp+mj3R7phK1yUi6d8Y5KZs0q4cJfPyAYZ28OHXgeYJEnvVsWX2gQy+25SIwa0ayY1+ZUe0iYYGCbVN7uamFScy+XhtKnoj1PBX8scQF7ycir7jdXh4NHfvJtCwYXM0GnfKlVPh4BAMqHFyEkt3CKLmSBCEJ3T+/HkA5HI5gwcPtipzcHCgTx/zop9Go5HQ0NBCj+9pGI1Gzp8/T2JiLBCLUnkHtToSSYoEsqlaNQRHR/snvv7VGAODZifx5uJkIlNM+LnImf6SCwMb2CJJMH5NKrMPZOTb+zEYDFavM3Um3p55kXkJjbnjUJuIJBO2Shmdq2uY/pILPze7isO57wjRHOLa5T3s338Ak8lEanIiSYem4XRwJMr4EyBXsvC0mhenxHP4erbl+kaTxKS/0/hglTkx6lRdw7IRbkWWGBkMBo4cOU9sbDLghFbrRVKSOyZTacCBunXr4ubmViSxCcWTqDkSBOGJ3BuJZjKZyMrKyrXcREZGRq5ji7PMzEzi4+MJCPBHLk/mwoUdKJUBuLkFERTkQlBQzae+R5rWxC870pl3KBODCVQ2MLK5PW80d8BWJaNDVTX2Khl/7M/ky41pZGRLvNXqyTotS5LE+PHT2LXrBHq9gTNnlmAwSqw4kcWUHenEejVHDuhirtOzopbv32mFrcp8H1OVVmxYW5MzZ84QH5/A2LFjUatVZGfrAHODk+PpLxjwwSxWXPPnRryRAX8k0aeOLW+3ceCLDansCDUnS2Na2zO2tQNyecF3ZNZqs1GrVchkMk6dukxyso5WrVpjY2PP3bs38PIKwsurLOXKQblyBR6OUIKJDtk5iA7ZgpB3Y8aMYdq0aQB8/vnnfPHFF5ayiIgIKlWqRHp6Ora2tkRFReHs7FxEkT5YWloaSqUSjUbJuXMHOXnyMEOGtEahkOXrsHtJklh7WsukzWnEpZmbr9pWVvNpJ8dcHbAlSWLargx+2m5eePb1ZvaMf9HhiRKkBg1e5tixiwAsP7iVGYdN3IgzAuDtINHY8QZvdAokpKxfrusnJyfz7rvvcvbsuVzXtbFRMH78eHr06EFKlonvt6ax+GgWOT9NVDbwfW9nutUsuDXS9HoDer0BOzsNMTFprF9/iN69e+Hm5s+1a3fJyMiiRo0aBXZ/ofgQo9UKkEiOBCHvLl68SNWqVS2v+/btS7du3bh58ybTpk0jJiYGgOHDhzNr1qyiCjOXrKwsbG1tMRq1zJ8/k9q1g6hZszQ6nQ5JklCr7780xpO6HK3nk7WpnLitB6CMh4LPujjRssLD+7bMPpDBlxvTAHipgS1fdnPKVftiNBrZtu0Iy5dvR6GQM3v2Z1bl48b9wrRlp/Dt+AYm1yAA3OxlvNXKgYEN7O7bTygng8HA/v0HWL9+HREREajVGho2bEDPnj3x87NeM+zkbR0frUnlSowBDwc5s4a4UDsgf3+XAKmp6Tg5OQBy1q49jIuLNy1bdkKvl3P79m1Kly6d74vmCsWfSI4KkEiOBOHxfP7550ycOPGB5cHBwRw+fBgvL69CjOrBzpw5zrlzRxk8uA0yWQYxMQm4uTkX2DxEYTF6ek1PJE0rYaeS8VYre15pYv/IpOSeZccymbA2FUmC7jU1/NDHGZscEyYaDAb8/DoSG5uIRqMmNnYbjo72mEwS5+7q+f7vJA7eNP+Jt1XKGN7UjuHN7HHUFEx3U71RYs+VbGqUVuLlmD/9i/R6A0ajEY1GzY0bcezYcYZBg4ZiZ+dFTEwctra24u+1IJKjgiSSI0F4PJIk8euvv/K///2PhIQEq7LOnTsza9YsfHx8iig6c3+oHTu2ExzsQUiIEykpkSQnp1G6dKkCn6k6NtVIj98TuJtsonaAkt9ecnmiJTI2nM3i3eUpGExQ0SGJ9eMrWiVXb745mekz1+FathojPv6AWMmDE7d0pGrNf9oVchhQ35YxrR3yLWEpaHq94Z+EVcbSpXspU6YiDRu2IjsbYmNj8fX1RaEoGe9FKBwiOSpAIjkShCej1WrZtGmTZfmQtm3bEhISUiSxpKenc/PmTapVCwHiOXhwJ35+7gQF+RZaDBnZJvrNSuTCXQPBHgpWv+GOq/2TJWMGg4HSDT9C1WI0MhsVTUKU/NzPhdAoA8dv6dh9IZUrcTL0kvX17VQyWldS804bB4I9i3+H+HuuXYtg377LDB48FKXSg8jIGBwdHXF0dCzq0IRiTCRHBUgkR4JQMhkMBnQ6HXZ2au7cOc+uXZvp06cp9vYF1xn4gbEYJYYvSGb3lWzc7eWsedONwDzOeh0bm0h4eAx16lSy2t+r1zj+PpmIZ89PkKvu/57c7GXUC1JRJ0CBIuE82TEXUNrIqVatGvXr1y/Wa7r99dcBAgLKUaNGY9LT5URERBISElIiRjkKxUN+f36LJ08QhBLJYDBYPjw3bVqFk5NEy5YVKV3ayKBBrYrkg1WSJD7fkMruK9lolPDnyy55Soyys3W8+OIY9u49RcWKQVy8uMKqfNCgjri47KdmvQT+uFKaVK2Ev6uC+kFK6pVRUS9IRVlPBdu3b+fHb34kPt66iTMgoDSfffYZtWrVytf3+6QiImI4ffoanTt3QyZzIzDQBjc3d8AFBweoWFF8ORWKlqg5ykHUHAlC8XZveH1ExB22bFnHwIHtsLPL5u7dSBwc7J54tur8Mn1POt9uSUcmgxmDXB64TMb9FjBt3PgVDh82D5sPDV1FxYpB9z03OdOEVi/h/Z/+S3///TeffvrZfc8BUKmUTJ8+nZo1a+b9DeUTSZI4ePAsvr7+BAdXIy5Ox8WLt2jUqJEYWSbkC1FzJAhCodDpdKxcuZLZs2dz9epV1Go1LVu2ZNSoUUXyAbtp03rc3VU0bFgOD484Gjf2wcYmGVDi51f0o+E2nM3i2y3muYk+6+yYKzEymUxs3LifJUu2kJ2tZ+3aH6zKBwxoR3x8Mr16tcLe/sHrebnY5W4ey8zM5Ntvv7W8btKkCV27diE7O5vly5dz4cJFdDo933zzDcuXLy+UleWjo+O5fv0uL7zQBJnMBZ0uHoOhDOCLpye0aBFU4DEIwpMSNUc5FETN0f2+IQpCcRcfH0/Hjh05fvz4fcu//vrrAl9QNiIigv37d9KnTytsbNK5cuUS9va2+PuXKtD7PomjN3QMnp2IzgivNrHj0865/35IkkTZst25efMucrmcyMjNlCrlbik3GAwoFIon+nuxdu1avvrqawDatGnD5MmTLNfR6w0MHTqUy5cvA/Dnn39Sq1bNJ3iXD2cymbhy5Tbu7q54eZXh9u00Tp++TqdOXVAqlfl+P0HIKb8/v4tvD70SbOfOnXTr1g17e3sUCgUhISF88803JCUlFXVoRSotLY1FixbxzTffMHXqVMLCwoo6JOE+TCYTPXr0sEqM3N3drZo/Pv74Y+bPn5/v97506RLXr18BYnB2jiIoyITBEA5kUqFCULFMjK7FGhixMAmdETpUUTO6iYxly7YyZcoSq+NkMhn9+7cDwNXVkUuXblqV29jYPPEXqYsXL1q2+/Xra3UdpdKGXr16Wl5fuHDhie5xPyaTiZiYBECGXO7K+fOpREW5AcEEBtage/eeIjESSiSRHOUjSZL44IMPaNOmDRs2bCAzMxNJkrh+/Toff/wxNWvW5OrVq0UdZqEzmUx89dVX+Pn5MXjwYD7++GPefvttKlSoQKdOnYiOji7qEIUcdu3axYEDBwDw8fFh586dxMXFER8fz2ef/dunZeLEiZhMpgddJk9MJhO3b99GkkxAMlFRJ0hIOApE4Ogop1Gj6mg0xbdPSlyakaFzk0jJkqgVoOTnfs5UrdKXAQM+5pNPpqPVZlsd/9pr3di0aQpRUVtp2bJuvsWRs/7/fvP/WO97+sYCo9G8BElYWCwbNpxHqy0HhNCr18vUqFE8On0LwtMQyVE++vPPP/n+++8tr728vKhRo4blW9ydO3fo1KkT2dnZD7rEM+ndd9/l008/JS0tLVfZ33//TdOmTYmPjy+CyIT7WbhwoWV7ypQptGrVCplMhoODA//73/9o3bo1ADdu3ODQoUNPdA+93ryURmzsLbZuXUpc3F7gOq1bV6F+/SpP/R4Kw8kz1+n1SzgRSUYC3RX8OcQVW5Wcdu0aApCRkcWuXdbNksHB/nTs2CTfZ+SuWLGCZXvNmrVWZUajkXXr1uU4tuJT3WvdugOcPBkLVCE4uC29eg1DozHPQSQmZhSeFSI5yicmk4nJkydbXv/888/cvXuXM2fOcOXKFapUMf/Bv3r1KqtXry6qMAvdsWPH+OWXXwBzs8Irr7zCqlWrmDx5Mt7e3gBcu3aN//3vf0UZppBDRESEZbt9+/a5ynPuy3lsXu3du4tdu1YDF/H2TqJv34Z4eZWM0aEpmSY2nM6g4uD1dJuVyZ10Da52MuYNc8Xdwfzn9KWXOjBmTH927pxO27YNCyWuDh1exNbW3Il748aNfPzxxxw9epR9+/YxevRozp07D0BgYAB16tR5rGtHRcWzbt1+jEZXoDyVK79IQEBdQINKpcLNzS2f340gFD0xWi2fnDhxghs3bgDmDpFjx461lJUrV45ff/2Vli1bArB06VIGDhxYFGEWuunTp1u2f/jhB959913L6/79+1OpUiWysrKYP38+kydPxt7evijCFHLIORNxaGgoDRtaf8CHhoZatvPS8VGn03H69GkqVQrEyUlLcHA2kuQIaAFwcSn4mY+zsrScOXOatLQ0PD09qV69ep5qOQxGiTPhOvZd1bH/qo6z4XpMEuDXABvAqE3nvRYmynj82xeqTZsGtGnToODezH04OjowduxYJk0yf0HbsmUrW7ZstTrGxkbBhx9+mKfJIA8dOou7eykqVKiFra03Li5qdDofbG1tKV9ezFQtPPtEcpRP7q1ADtC0adNc5c2aNbNsx8bGFkpMxcGRI0cAUKlUjBw50qosMDCQHj16sGTJEtLS0ggNDaVu3fzrhyE8mc6dO7N+/XoAxo8fz8aNG3FwMM8fdOTIERYvXgyYk6j7Petg7n+XkpKCi4sTcnkSN28ewNs7DicnH0qXLrxh93q9nj/++IOVK1eSmvpvs66Pjzevvvoq3bt3R5IgLVsiNctEcqZESpaJWwkGVu6P4kKcEqPcus9TiJcCT0Mk53esp3N9D5pU7Fpo7+dhevfujUKhYMqUKaSnZ1iVeXh48Nlnn9Kgwf2TttjYRC5duknz5s2RyVwxmVIwGr0BX1xcoEULv4J/A4JQjIjkKJ/krFo+ceJErvKcI3+ep2roex12FQrFfUet5BwB9bSde4X8MXDgQD755BNiYmLYu3cvZcqUsXSc37ZtG/dm/xg+fPgD17s6c+YYZ88eZNCg5tjYQL9+zQt9SguDwcD774/jwIEDmGzs0Pm2Re9WA0nlRLKNA+/tdmDC8XB0kspcG5SLA8jBmJVK6yoOdKzlQsMyCvZtWcny5ctRJ0SxfTPs3j6fli1b8uqrr1GuXNGsJ3dPjx49aN++Pdu3b+fq1asoFAqqVatG8+YtcvVzOnDgDP7+fgQFVcBotCUlJR2tNgBbW1uaNGlVRO9AEIoHMc9RDk8zT4LBYCAwMJDIyEgAlixZQv/+/ZHJZMTFxdGlSxeOHj0KmDtuv/rqq/kef3HUt29fVq5cCcD8+fMZMmSIpSwxMZGyZcuSnJyMWq0mOjoaFxeXIopUyOnQoUO0b9+e9PT0+5a3aNGCv//+G41GY0l6/vprHcHBXlSp4kVGRjQZGVl4eRXdF4Ely5Yzae5usn1aovNsCIqHj3rTKMHZVo6LrRxPRzn6uxdZN+N3HA1xzJ/3Be3aNeD999/nwIGD9z9fo2HKlCnUq1e8aj/vzbUWFnabq1ej6dSpE+DIjh1HCQgoS/ny5Ys6REF4amLh2QL0tL/cH3/8kffff9/yunLlyvj7+7N//36ysrIA8PX1JSws7LnpW7Njxw7atm0LgK2tLePHj6dTp05cvXqVr776yjI/y5AhQwpk3hzhyYWGhvLll1+yatUqy+gyPz8/Ro4cyfvvv8+NG1c5d+74P3P3pHHq1Cm8vFyLdC4iSZK4FGVgzcks5u+NxmDz77/jEC8FXarb4u+q4OTh3Wxcs5QbV9LJSklDbsgiLnqLVf+n6Oh4jh+/RPv2jVCplMyYMYM//vjTUl63bl28vUtx8OBBkpKSAXBycmTDhr9wdCzaZUwAtNpsVqzYR4sWLQgIqEhERDIREdE0aNBATEwrPHNEclSAnvaXazKZeOWVVx74Ie/u7s62bduoXbv204ZaYkiSRN++fVm1atUDj/H09OT48eMEBgYWYmRCXsXHx3P37l3kcjh27ADNm9ckJMSd+Pi7REfHU7lycJGt+J6VpeXEiRPcjsngYoYfJxNLERZjtJTLdCn4GS4y5e12KFLvUquWeci7Tqejbdu2XL6cwb0ugAsXTmTQoI73vU92djYdO3YiOTkZhULOb7/9Rr169SwxvP/++5b+dePGvU///v0L8F0/2NmzYURHZ9C+fTfAhdOnL1CmTBlRIys888TaasWYXC5n7ty5tGvXjqlTp1qa0ZydnXn55Zd57733CAgIKOIoC5dMJmPRokU4OzszZ84c/puLV6lShZUrV4rEqJg6fvwI4eFX6NnzBSANG5tSeHkZgAw8PFzw8HApkrgMBgO//TGfhbvCSXFpgN6tOsgUgBGFzEjTYBknV32FTfxJtDIf2i6chkqlJCLib5RKG1QqFU5OTri6ZiCT2TB79g+0aVP/gfe7ePEiycnJALRq1cqSGAHY2moYO3asJSHat29foSVHWm02hw+fp3r1Gri7B+Ps7ITJlA54AlCrlpiQURCehEiO8plMJmPgwIEMHDiQtLQ0tFotbm5uz/XkaGq1mj///JOPP/6YxYsXc+fOHRwcHOjYsSOtW7cWVfzFiFarZdu2LdStG4Kvr4aAgDRcXZ2BFAAqVSpTtPHpJXaGZjFpyUkijG2hrMpSZpN0EXXULlQxB/BXNOVq+jm0GLl1K4rkZHNt0qZNB+jevQUXL14kMjIKe3uoV68cnTo1eeh9MzL+Hf0VHBycq7xMmaD7HlsQoqPjSUxMpXLlaqhUfqSlRaHVlga8CAryIijoUVcQBOFRRHJUgBwdHR84mud5VKZMGT755JOiDkP4j1u3bhETE0mDBhXQaJJwdo5DobAD3ClVyo1SpYp2dKXBKHH4ho71Z7RsvaAlLVsCyoECFBl3qOYYSZtyEoe2b2H38ZP4+sLmzVto0KA+R48ew8XFSHKyjBdfbIiPjzu7d+/hxx9/sFy/W7duj4zB09PTsn3kyBFGjBhhVX6vSQ3MM+PnJ6PRnOD5+HhgZ+dBVFQyt25B5coVkcuha9de+Xo/QRBEciQIzx2j0cj169fx9vbCycmEVhtGSspVJEmFTCajefOi6ROn1UvEphqJTTOZf1KN3Ig38vd5LfHp/07zoDYmI7uzA3X0Xn767A1at+5Or17jWLPmJAAuLmBnB5mZmTg5OSJJaVStKhEZeZg33zxsdc+yZYPp1KnzI2OrUKECZcsGc/36Dc6ePcfUqVN59dVXsbOz4+zZs1az43fs2OnpfxfabFJTM/DycsdodGD37hs0b16ecuUqUKNGOWrVEosbCEJBEh2yc8jvDl2CUFwYjUaSk5Nxd3fDaExi0aI5NGgQTMWKhd/XK1NnYu7BTMJiDMSmmohNMydEadoH/ylysZPRqZqGZoE63uzbERdniaCgIFatWolMJmPmzNWMHDkJgDJl7HB1zUShkDNnzhzGjRtHbGxcrmtWqlSRn3/+2apW6GG2b9/O+PETLK9VKiWOjo4kJCRa9lWsWIH58+djY/P43zszMrJQq5XY2Kg4dOgat24lMXDgq4ACrVaLRqN57GsKwvNCdMgWBCFPJElCkiTkcjlnzhzm/PmjDBnSCoXCxIABTVCpck/KWRg+WZvKmtPa+5apbcDLSYGXoxwvRzmlnBQ0K6+iSYiace/9SOffV2IwSFSpAq6uLpb+av37t2fTpgMMHtyJNWvmEBYWhtFookKFiqxdu5bt27ezZ89e0tPT8PDwoEOHF2ncuNFj9QVs27YtMTExTJkyBUkCnU5vlRiFhJRlypQpj5UYmUwm5HI5mZnZLFmyn5YtOxASUoMaNcr/Uztkjk8kRoJQuERyJAjPIKPRyIoVi6hRI5DKlT2oVElGcHBt5HJz81RRJUabz2tZc1qLXAZj2zgQ4PZPIuSkwNNRjpNGhkwmIyEhGXd3F6tzvbxcMRjMHatTUuD8+fNERkbi6+uLs7MDGzb8zK1bt/j22zAA/Px8USptUCpt6NKlC126dHnq+AcNGkSDBg1ZsWI5x44dQ6vNxt/fj65du9KhQwerGd8f5cyZMG7dSqF7937Y2TnTvr3/P4sxy5+bedAEobgSyZEgPCOioqIIDb1Aq1Y1USgSqF7dllKljEA2dnYa7OyKtvYhNs3IR2vNo95GNrdnTOvcEyUuXryZGTNWc/r0FaKjt+LgYGcp69KlGXPmbCAw0IWoqIsYDEbGjBnD22+PpWrVqpw9e8ZSqwPmpTQKQrlyIXz88cePfZ5Op2ffvlNUrVoTb+8KlCpVCpUqFUky14A9b9N8CEJxJpIjQSjBoqOjsbGxwcNDjSTdRqu9THa2A2q1iipVyhZ1eBaSJPHRmlSSMiUq+dgwts39Z5Dev/80Bw6cAWDNml0MGfJvZ+lq1UK4dm0dyckpDBo0iOjoaG7evMXYsWNzXcff35/evXsXxFt5LFFR8cTGJlKjRi1UKjeMxgQMhgDAHR8f8PEp6ggFQbgfMeRBEEqY7Ozsf7Z0HDy4kdDQjUAYvr5KOnZsjFqtetjpRWLliSx2hGajUsDP/Zy5dCGMTz+dnmux4SFDzCO9KlcOxtbWuqZLJjM3ubm6ujBjxnSruYVyKlcuhBkzphfJNBoGg4FLl26QkpIOOJOQYMeNGzZIUgXAi/btO+Hv71/ocQmC8HjEaLUcxGg1obi7ezeczZvX0K9fMxwdTWRmarG1VRfriTTDEw10mJJAhk5iwouOnFk2lRkzVgOwc+d0WrX6d7ZpSZI4c+YKNWtWeOR7MhgMHDhwgB07dpCSkoKrqytt27Z77I7WTys5OY3k5DSCggIwGh1YtGgbjRq1pHz5ipZFXwVBKFhitJogPGdOnToFZFG7dmlKlYrlhRf80Gh0gE2R9yN6FKNJ4r0VKWToJOoFKXmtqR2routYkqOFC/+2So5kMhm1alXM07VtbGxo0aIFLVq0KIjQHyoxMQV7e1vUakeuXYsmLCyOoKDOKBQyBg0aYUnORGIk5KcjR44wc+ZMzpw5g0wmo379+owcOZKaNWsWdWjPHFFzlIOoORKKA51Ox7Vr1yhXrgxKZRqnT+9HkrTUrp23pKE40On0rFmzi+/WR5MY2B47lYwtb7sT4G6DTqena9d36d69Of36tcPVtWT8WzMYDNjY2KDVmli4cBcvvNCGypXroNPpUCgUz/USQULBMhgMvP7668yZM+e+5e+++y4//PDDc52M5/fnd4npczRp0iTq1auHo6MjXl5edO/enStXrlgdo9VqGTVqFO7u7jg4ONCrVy9iYmKKKGJByDtJkv5Zk0tCp4vj0KH1xMTsAcKpVSuoRCVGAFOnLmPIW7NI8GsFwKedHQlwN1dUq1RKtmyZxsiRvUtMYnT27DVWrz4GlEOjqUu3bsOoWNG8qKtKpRKJkVCgPvjgA6vESC6XWyVCP/30E998801RhPbMKjE1Rx06dKB///7Uq1cPg8HARx99xIULF7h06ZJlTpA33niDTZs2MW/ePJydnRk9ejRyuZyDBw/m6R6i5kgoLJIkkZiYiLOzMzY2Cg4c2E5U1E369GkE6NHp9EU2F9HjiI1NZO/eU9SqVYGQkNKW/RGR8dT/+AqqUmXRJF4hdGazEvGt9uLFixw8eJC0tHQSE/X07fsSNWo0JT7eQGJiMiEhIcjlJeY7pfAMiIqKIiAgAIPBgFKp5Oeff+aVV17BYDDw+++/M2HCBCRJwsHBgbt37z63n135/fldYpKj/4qLi8PLy4u9e/fSrFkzUlJS8PT0ZMmSJZYhvJcvX6ZSpUocPnyYhg0bPvKaIjkSClJycjJ6vR5PTw+SkyNZsWIJHTs2xN/fgYSERIxGE15eRbvI6+NYvnwb/ft/BMA334xiwoRhlrIft6UxbVcGDkoju8aVwsupeHdvvHv3Lu+9N54zZ0KRJEhKgoQEkMttGDNmDN9+++0TLQkiCE/rhx9+YNy4cQB8+OGHVuv4Abz22mvMnj0bgDlz5jBs2LBc13gePLfNav+VkmKeTM7NzfxhcvLkSfR6PW3atLEcU7FiRQICAjh8+PB9r5GdnU1qaqrVjyDkF4PBwI0bNwAJyOTIkc0cP74eOIuLSzRdulTHx0cNmHB3dymWiZFeb2D79iOMHv0tt25FWpXVqVPJsr1nz0nL9qk7On7bnQHAd33di21iZDKZuHLlFmFhN+nf/3W2bg3l6lUIC4O4ODCZzP8Pf/rpJ1577TVK6PdIoYS7deuWZbtr1665yrt163bfY4WnUyKTI5PJxNixY3nhhReoWrUqYJ4MT6VS4eLiYnVsqVKliI6Ovu91Jk2ahLOzs+WndOnS9z1OEPJKkiS0WvO6YbGxN9ixYxmJifuAUJo08addu2qAeQkMHx+PYt9X5YsvZtKu3Wh++20lO3cesyorW9afzp2b8sEHQxg3bjBgXlT2vRUpmCToXlNDx2rFazRdRkYWt29HAXJkMjdOnIjnk0+WcuBANMnJEBhYhhkzZrBz507ef/99lEpz0+b8+fPZv39/kcYuPJ9yLiVz8+bNXOXmL2C5jxWeTolMjkaNGsWFCxdYtmzZU11nwoQJpKSkWH7Cw8PzKULhebV58zr2718LnMfHJ5UBA5rg5maeDdrBwa7YNs1kZGSxevVOsrN1Vvu7dGlm2c5ZOwTmYep//fUz3347hjZtGgAweXM6N+ONeDvJ+V/X4tE0bTAY0OsNgJzr19PYvfsORmNVZLKydOrUj02btgDg4ODAoUOHeP3112nVqhXff/89v/76q+U6M2bMKKJ3IDzP2rdvb9meNGkSycnJltcxMTH89NNP9z1WeDolLjkaPXo0GzduZPfu3VYzzXp7e6PT6aweHDA/PObFHHNTq9U4OTlZ/QjC40hOTmb16uWkpV0HQqlZ05aaNT0BHTKZDEfH4v9NburUZXh6tqF37w9z1Q7Vr1+F11/vyYoVk/n99/EPvc7CI5ksOJwJwPd9nHG2K/o/LyaTiWXL9nHxYiZQg4oVWzNw4GsoFOYaoWvXrpGZaY65R48euf5WvPzyy2g05tqvkyetk0NBKAwtW7akWrVqgHnAQEhICG+++SbDhw+nfPny3LlzB4DmzZtTo0aNogz1mVI8v8behyRJvPXWW6xdu5Y9e/ZQpkwZq/I6deqgVCrZuXMnvXr1AuDKlSvcuXOHRo0aFUXIwjPq6tWrZGdnUrVqaezto3F1TcJoDAcc8fX1LJB7RkVFsXbtWi5cuIAkSZQvX4GePXsQGBj4WNfJyMjCzk5jNXIsMNCbrCzzkiSrV++iY8cmljK5XM6MGR899JqSJPHDtnRLP6PXm9nTtFzeV6fPb5GRcZw+fY0XX+yGXO5J48bueHp6AnJUqgcvrSL6FAnFkUwmY+nSpbRo0YL4+HgSEhKYPn261TH+/v7Mnz+/iCJ8NhX9V7s8GjVqFIsWLWLJkiU4OjoSHR1NdHQ0WVlZADg7O/Pqq6/y7rvvsnv3bk6ePMmwYcNo1KhRnkaqCcKDZGVlcerUKbKz04F4kpLOkZBwDLiJUplFq1b1cHEpmHW8JEli7tx5dOvWjdmz53D06DGOHTvOokWL6NmzF7/88kuu9cnuZ9++U/TtOx5PzzacOWM9P1i7dg0pW9af11/vycsvd37AFe5Pb5R4f2WKJTF6t60D41+8/6KyBSk8PJqoqHjABbW6PGp1BXQ6T0BDcHDwA9dZq1ixoqWfxtq1a4mKirIqnzdvnqUPWZ06dQryLQjCA1WpUoWjR4/Sr18/q6Z5jUbD0KFDOXr06GN/URIersTUHN3LlP+7VMDcuXMZOnQoAD///DNyuZxevXqRnZ1N+/bt+f333ws5UuFZEBsbi06nw9/fE5MpinPntuLrG4e3twf16wcBQYUSx4oVK6z6vfzXggULUanUvPHGyIde59KlG6xcuQOA5cu3Wy3RYWur4erVtY89D1F6tok3FyezL0yHQg7f9HCiXz27x7rGg2RnZ3P8+HESEhJwcnKmfv16Vp1NtdpsIiJiCQkJAOw5ezYRJyc/fHzK4u4ObdoE5+k+Dg4OvPTSS8yaNYuMjAwaN27MuHHjqFChAps2bWLatGmWY0eOfPjvWBAKUnBwMMuWLSM+Pp4LFy4gl8upXr16rkFIQv4osfMcFQQxz9HzLTY2Fg8PD+TybHbt+ousrAQ6daoPmPuuFPbkf1lZWjp2fJHU1DQABg8eRL9+/bGxsWHdurXMmjULk0lCqbRh8+YtODs7sX//aRYt2sxXX71BqVLuOd5bIj4+HXBzc2L06L58/vmIp4otNs3IK/OSuHDXgK1Sxu8vudCy4tM3pZlMJhYsWMDChYus+g/a29vRrl1HRowYjpdXKe7cSWPLluMMGDAMR0cXsrOzUauf7P7R0dHUr1//oQMyhg4dypw5c0rERJaC8DwSC88KQj4yGo0oFAoSEqJYt24RHTvWxt/fhRdeKI1K9W/tQ1HMirx37x5LYtShQ3vGjh1rKRs+fDjJySksW7YMvd7Ali2buXkzi48/NteUVq1alrffHmA53svLjaNH51GzZvmnHjF3I87Ay3OTCE804m4vZ85QV2qUfvrZvCVJYtKkSaxZs/af16DXg0oF8fGZ/PTTKrZvv83OnQfx85MzZEhdS2fpJ02MwDyYY//+/QwaNIgDBw5YlalUKsaMGcOkSZNEYiQIz5ES0+dIEPLbwYP72Lp1BXAFd/dIunSpjp+fMwBqtarIPwzvjUIBrCY3BXNNUPPmza2O7d69heX1mjW7c12vbt3KT50Ynbqjo9f0BMITjQS6K1jzplu+JEYAhw4dYvXqtUgSyGRQvXpTatfuQa1ag7l2TUlSEuzbd5w//5yNQqGwJEb5ITAwkP3793PixAkmTpzIuHHjmDZtGhEREXz//ffFdgoGQRAKhvgXLzw3MjMz2b9/H/XqVcDNTSIwMAOdzg5IB8yTMhYnOUdWxccnAHD06AUmTvyDrVuP8NFH/XMcq6Zy5WDeeqsfDRtWs0qU8sv2S1reWpqMVg81/JXMHuqCh0P+TWK5YsVK4uMhMxO+++53Bg9+jYyMDFxcXOjXbzDt2rUD4Ndffy2w/j916tQRHa8FQRA1R8KzLTExkWvXrgEZaDSxGI1X0enCgCT8/b0IDvZ/1CWKTL169SzbS5cuIS0tnfT0TP7++yBGo5G5c9dbyuvWrQvA1KnjGDiwA3Z2+Tsz9ZKjmby+0JwYtaygZukI13xJjGJjE/nrrwMYDK4sX36a8HCQyz15+eURKJVKS2fTtm3bWt7jxYsXSUhIeOp7C4IgPIioORKeOVqtFoVCgVIJN2+e4Nq1c5Qt2wK5XEbHjo2LOrxHkiSJkydDWbRoC97ewURH3+D27Tv07t2bjh074uxsR3a2FoPBXOPl7+9P48YFM5dXtkHiy42pLDpinjKjfz1bvuruhI3iyZsc79wxL+cTEFARjcYTlcqIVutFUpIeAHd39/suq+Lu/m8Hc51Ol6tcEAQhv4jRajmI0Woln8GgZ+HCWdSrF0zVqqUwGPTI5fIi6VD9pFat2kGfPubZqF96qT1RUUdITk6xlGdnmzspy2RgZ2fL779Pp1q1qvkeR3iigTcXJ3P+rgGZDN5p48BbreyfqC9WRkYW9va2gIZt2y6gVLrTsqV1P6oaNWpw7tw5wDwbde3atS1lkZGRBAcHk52djaurK7GxsaIfkCAIFvn9+V1yPjEE4QFu3brFhg2rkKQIbGxCadUqkLJlnQAJGxubYpkYSZLE1at3WLBgI6dPX7Yqa9++Eba25tFXu3efYs6cOTRt2oR7OYlabU6M6tevx+zZswskMdpxSUunqQmcv2vA1U7GvGGujGnt8ESJUWJiKkuW7CMy0hGoQqtWvXIlRgCvvfaaZbt79+4sX76c6Oho/v77b9q3b092tnkW71deeUUkRoIgFChRc5SDqDkqOSIiIlCplHh5KYmNvcyVK5do2LAaSmXJ+ND86699dO36LgDjxg3mu+/etir/5ps5eHm50atXK1xdzc9iVFQ0ly+HYjKZKF++PKVLl873uAxG81IgM/aaZ7yuFaDkt4Eu+Lo8Xv+iK1duEReXQZMm7QF3rl69SVBQkGWV+/vJzMykfv36XLx48YHH+Pr6cvLkyQeulygIwvNJzHMkPLcMBsM/NQY6jh/fiqenAi+vanh5qfHyqlXU4eVy5swVFizYxK5dJ5g58yMaNPi3hifn9uHD53Od+9FHr+Ta5+PjjY9PwSUFsalGRi9N5thNc9+fV16wY/yLjqhsHl1bZDAYuHTpJgEBPri4lEYmkyFJGUApAMqVK/fIa9jZ2bF9+3Z69OjB0aNHc5WXL1+e9evXi8RIEIQCJ5IjoUSIjY1l06bV9OjREBcXEy++WAmNpugWN82LrVsP8/PPSwA4ePCMVULk5eXGK690JTjYj6ZNiz6xO3Q9mzFLU4hPN+GglvFdb2c6Vnv4iLerV++QlpZF7dp1kcvtOHPmDHZ2tXFxCaZ8eShf/vHj8PHx4fDhw+zatYulS5cSHR2Nm5sbPXv2pHPnzqI5TRCEQiGa1XIQzWrFy507d0hLS6ZKFW+MxmjOnTtPpUplilVSpNcb2L37BGvW7GLSpNGWJjCAa9fCKVeuB3K5nLFjB/Djj+8USkxGk8R3W9O5HW+glJMCLyc5Xo5yy3YpRwUudjJkMhkmk8T0vRn8uC0dkwQVvW34/SUXgj1zJyHJyWns3XuaVq1a4ujozdmzN0lK0tKiRUvA3I+qqCfOFATh+SSa1YRnWmxsLC4uLqhUemJjzxEff4sqVRqhUGC1WGpx8cknv/PddwsAaNy4OkOG/LuqfUhIadas+Z7mzWvj5uZcaDH9sC2dmf/0GXoQlQI8HeWobWTciDcC0KeOLRO7OWGr+jfBOXz4HAqFA/XrN8PWVoW9vR6jMQhwoUYN6+YtkRgJglDYJEli9+7drFixIl+vK2qOchA1R0XjXl8irTaVhQtn0bRpBSpW9C02NRF6vYGjRy+wfftRxo0bjIPDvyvPHzx4hiZNzKOsevRoyZo13xdVmABsOJvFmKXmYf+vN7PHRgExqSZi04zEppqISTWSlGn9T15tA192c6JvPTsSE1M4evQSrVu3QqXy4ty5O9jYaKhcuXJRvB1BEIQHunnzJr179+bUqVOWfaLmSHgmnD17msuXT9KvXzM0mjR69KiFu7u5lqU4JEYA7733M9OmLQegfv0qdOrUxFLWqFF1Xn+9J23bNqBDh6KdYPLCXT0frPonMWpuz4QXHe97XLZBIi7NnDDFpZlQJN8hwNkAlEalKoXRmI5W649K5UT16sVrSRVBEASAmJgYmjdvTnh4eIFcv/hNACM804xGI3v37iU8PBS4hZ9fEjVrumIymT/UPTxciiQpys7WsXnzQd5/fwr/rUxt2bKuZXvbtiNWZXK5nBkzPqJXr9b/THJYNBLSTby+MAmtHpqXV/FBe4cHHqvXZhFzI4ya/na0rxKAyuhKcrI3EISDgz+dO3cVNaeCIBRr3377rSUxCgkJ4Y8//sjX64uaI6HAZWZmcvfuXcqVC0ShSCA7+wp6fTLgj4eHMx4ehdcf50EGDvzYspJ9//7tqFv332akli3rMnBgB9q2bUC7dg3zdL2wsDBWrFjB8eMn0Ot1lC4dQLduXWnbtu1D5/p5EnqjxBuLk7ibbKKMh4Kp/V1QyK0TzNjYRAC8vHzIylJy4UImZcsG4uLiQrNm+T9fkiAIQkHR6/XMnTsXALVaze7du3FycmL48OH5dg+RHAkFwmQyYTAYUKmU3L17if37t1O6dHM0GjXt2hXdquc3b95l//7TVh2nwTwr9b3kaP36vVbJkYuLI4sXf5Xne8ydO5dff/3Nal9MTCwnTpxg6dKlTJ06FVdX16d4F9a+3JjGsZt6HNQy/hjiirOdHJPJRGxsIt7eHoAtR4/exc7Oi9atq+LpCYMHVy2WM4cLgiA8SkREBMnJyQC0a9cOf39/UlNT8/UeIjkSCsSaNUvx9bWjceNggoNNBAa2RKXK3xqTxzVo0KcsXrwZgObN6xAY6GMp69KlGYcOnaNbt+Z5rh26n40bN1olRiqVEjs7O8vaaJcuhfL+++/zxx9/5EtysuxYJgsOZyKTwc99nQhwMTcJRkSksmXLOfr0GYSrqw9t2pRBo/l33iKRGAmCUFLlXJg6MzOzQO4h/kIK+SIhIYGNG9ej090FQqlXz5lKlVwAAwqFolATI5PJRFjY7Vz7K1YMtGxv2LDXqszHx4N5876gR4+WT9x3yGQy8ccff1pev/baq+zcuZMdO3YwY8Z0PDzMnZvPnDnL8ePHn+geOZ28rePT9eZvS++2cSD75lkOHboLVMHfvyU9egzF1dWcANra2habDu7Cs0mv17N582ZmzpzJ4sWLiY6OLuqQhGeUv78//v7+AOzevZvTp0/n+z1EciQ8sYyMDGJjY4EsNJpY5PI7aLXXgEwCA32sJkQsLF999SeBgV2oVq0/qanpVmXdu7egQYOqfPPNKDp2bPKAKzy58+fPExERAUC9enV54403sLOzQyaTUa9ePd5//z3LsZs2bXqqe0WlGHllxm2Sz++lbXk1o1vVo0aNrlSu3BTQIJfL8fT0fKp7CEJeSJLEjBkzCAwMpGPHjowcOZJBgwYREBDAyy+/bGn+EIT8IpfLGTlyJGD+UtqiRQsmTpyYr/d4oma1jIwMJk+ezM6dO4mNjcVkMlmV37hxI1+CE4oziSNHtpOSEk7Pno2xt4eOHYt2KDtATEwiERExAGzadIABAzpYyqpWDeHIkXkFeO8Yy3ajRo1ylefcFxMT+0T3OH/+GjqDDRMPupKsVxMcWJqvutVFJrOjdGm7R19AEPLZxIkT+eKLL3Lt1+v1LFiwgLNnz7Jv3z4xAlLIV++88w7r16/n+PHjpKam8uOPP+br9Z8oOXrttdfYu3cvgwcPxsfHR1TXPye0Wi2bNm2gQYOy+PsradDAHZWq8BcBPXHiEosWbWb//tMcOzbfqv25V69WzJy5hrZtG+Dl5Vaocdnb21u2b968mav85s1blm0HB/tc5feTmanl0qUb1KxZFRsbDzIyUpi6M5KzaRpcnexZNfpVSrmJpEgoGufOnbNKjLp160bHjh25evUqs2bNIjU1lbNnz/LVV1/x3XffFV2gwjPHzs6OHTt2MGrUKJYuXYrRaMzX6z9RcrR582Y2bdrECy+8kK/BCMVPRkYGERERVKjgj0YTi49PBmp1EuBqNVN0fpEkiWPHjrF582bi4uJxdHSgRYsWtGrVCpVKBcDXX89h3bo9AOzZc5LWretbzm/atBZxcTtwdn7wPD8FpVatWtjb25GRkcmWLVvo0aMHNWrUAMydBqdNm2o5tkmTBzfrJSamoNPp8fb2Ra+35cKFTIKCSuPq5s6JTC2H0rJQyGX8PrA2pUViJBSh6dOnW7a/+OILPv/8c8vrV155hRo1aqDX65k9ezYTJ060GhQgCE/LycmJhQsXMnnyZFatWsXYsWPz7dpPtHxImTJl+Pvvv6lUqVK+BVIciOVD/mVeugMuXz7G0aO7GTCgRYF3qk5ISGDcuHGcPXsOAJ0OUlPBwwO8vb356acfqVChAitX7qBv3/GoVEp+/HEso0f3K9C4HsfPP09h0aJFAMhk0KBBQzw8PDhw4ICl74WbmysbNmzA1tbc8dtgMBAbm4SPjwcymZqtW89iNNrRsWNPAPQGI39fiGbarmtcizX3o/q8S2WGvVCm8N+gIORQpUoVLl26hI2NDYmJiTg6Ws/K3qdPH1atWgXAyZMnqV27dlGEKTwHisXCs19++SWfffYZ8+fPx85OfHN91uzcuR17ewMNG5amXDkZZcu2RKks2FkfsrOzGT16NGFhVwEID4e4OHOZvT1ER0fz5ptvsnDhQjp3bsLs2Z/Ss2crXFzuv0RGUXnzzTe4fPkyJ06cQJLgyBHrGbXt7Gz5/vvvuXo1Aicne4KCgklMzGTjxgt069aTUqWCadq0LBqNBoPRxPozkfy2+xo34s0LyTppbBjdKoShjYOK4N0JgjW9Xg+ASqW672dBzvm87h0rCCXBE9Uc1apVi+vXryNJEkFBQblm/M25CFxJ8rzWHJlMJm7cuEFQkB82NkmEhh5Fo1FQpoxfgd87IyOLo0cvkJISwVdffQ2Al5cnZcs25Lff/gKgalUPVKp4AHr16slHH32U73GEhl5m2bKl7Nu3j/T0dLy8StGpU0f69OmLp+fjrS+m0+lYvHgxy5evIDY2DpkMdDoFQUHV+emn7yhXrgZbthykVKnS1KpVB6PRSFpaGs7OzshkMvRGE2tP3+W33de4nWCew8PFTsnwpsEMaRSIo6Zo54sShHu6d+/O+vXrAVi1ahW9evWylKWnpxMcHExcXBw2NjZER0fj7u5eVKEKz7hiUXPUvXv3p76xUHxkZCSwZ89q2rSpQlCQD5UqBRTKfceO/ZEZM1aTna2jd+8Klv3ffvstTk4eHDhwhZ49W9KlywuMGfM6mZlZ/P3337z33nuo1ep8i2PFihV899135PyaEB0dzezZc1i9ejW//PILVatWzdO1dDo9KpWKgQMHYTB4ExxcHk/PQDQaF9LS0ilbthYgp0OH7pZzFAoFLi4u6AwmVp8K57fd14hIygLA3V7F8GbBDGoYiINazNkqFC+vvfaaJTl69dVXiY6OpnPnzoSFhfHZZ58R90/1b48ePURiJJQoT1Rz9Kx6nmqOrly5QmjoKbp3rw8kk5GRVWALp5pMJq5dC6d8+UCr/Z99NoMvvzRPmli+vBoHh2y8vb3ZtGljrmuMGzeOXbvMy3usW7eW0qVLYzAYOH/+PImJiTg7O1OjRs3Hbv47fPgIo0ePtrx2cLDH19eX69evYzSap6hwcXFh1apVuLq65DrfaDQik8mQy+UcORJKZGQGPXv2BxwJC7uGr68vDg6P7hy+5UIUE/+6RGSKFgAPBzUjmwczsEEAdiqRFAnFk8lk4sUXX2Tbtm0PPMbJyYmjR49SsWLFQoxMeN4Ui5qje06ePEloaChg7phXq1atpw5IKDgRERFoNCo8POQ4O0fj56fHaExAoVAUWGL08ce/MWfOBpKS0khI2Gl1n86dmzB37l907tyEU6e2YzBkk56ejl6vz9VUm5SUZNm2sVGydOlSFixYQGxsnGW/h4c7AwcOZPDgwXleHmPevHmW7YEDB/Dmm6OwtdUQExPDRx99zJkzZ0hOTmb9+nUMHToUo9FIdrYeOzsNaWmZrFy5n/btO+LnV5Hg4NJ4e2cC5oV0y5cvn6cYrsel89bS0+iNEqWc1IxsXpYB9QPQKBWPPlkQipBcLmf16tUMHjyYdevW5SovXbo0q1evFomRUOI8Uc1RbGws/fv3Z8+ePbi4uACQnJxMy5YtWbZsWYmdmfdZrDkymUz/JAp6Vq6cg7+/LY0aVSmQe6WnZ+Ya3j9y5DfMnLkGgHXrfqBbtxaWsnuPnkwmY/z48WzfvgOAd94Zy6BBgyzHnTx5khEj/t/efYdFcbVtAL+XhV16lSogiIoVe8GOBSyxRaOxt8TEWGKL0cRYk9iiUYyvJvmM7X2NJVGT2CIWUAkqdgUVURBEmii97u58fxAmuwEVcWEB79917ZWZObNnnmWQfXLmlA8AFE4b365dO3EETEneeustLF686KXzbz158gR+foWTRLq6Fv4RV0+qYmNj0b//IBQUFE4guXv3Pvz55xUolTL06dMfgAlu3boNNze3UrUOlUQQBIzdGoozEcnoXM8WP4xuyaSIqqQrV65gx44diImJgampKfr06YO3335bnIKDqDxVipajadOmISMjA2FhYeJw/vDwcIwdOxbTp0/Hzz///NqB0etLSkrCsWO/YdCgdjAzK0C/fk1gaKi9vjpFfvhhP/7736OIiIhBXNwRjUkZ+/XrjB07DqNnz7bFlhNRT16GDXtXTI6+/XYdLl++jDZt2uDevXs4cuSIeF6rVq00EqNOnTqiadNmCAu7hdOnAwEULv7aoUN7+Pr6vjDup0+fitvNmjUTE6Pbt6NgYWEKF5c6kEhqIDr6CdLSUgE0RYsWNf+Ou/CzlLYv0vMEhCfiTEQyZFI9LOnfiIkRVVktWrR4Y4bqX7hwAd999x1OnTqFvLw81K1bFxMnTsSoUaM4l1M1Uabk6NixYzhx4oTGPEcNGzbExo0bX/qFROUrKSkJ6elpqFPHBtbWSWjQQA59/XQAhuWSGAHAH3+cxdmzhQv/XbwYBm9vL7HM17cdUlJOwsjoxX8wmjdvhtGjR2HnzsI5gs6cOYszZ85qnNOuXVvExz8W9z///DO8/fbb4v7Ro0exYMEXAIA9e/a89Hex6P8uCgqAc+euQhAMIZFYICLiLmrWtARgjatXC0fJubraApBotVU0t0CJZYfDAQDvdXKHe43SzZpNRLohCAIWL15cbB2vlJQUnD9/Ht999x2OHTsGB4eKXzmAtKtMC8+qVKpifUIAwMDAoNg6a1T+BEH4++euxIMHl3Dr1mEAUdDXz0Pr1o1empiUxpMnqfjhh/2YPHl5sbJhw3oCAOrXd0NmZrZGmYGBfqmv//HHH2Pu3E+KDZ03MTHGqFGj8M03a3D58mUAgL29XbFRk7169YKrqwuAwpXv8/LySryOQqFAYOAlqFTGcHLyQnQ0cOrUI3zzzREIQk307z8cDRo0wUcffSS+R32IsrZ8H/QAsU9z4GhhiKnd6mi9fiLSrqKZvouYmpqKq8MDwPXr1zFgwAB+D1YDZepzNGDAAKSmpuLnn3+Gk5MTACAuLg4jR46ElZUVDhw4oPVAK0JV7HOkUCiwf/9eeHk5oX59SygUeZBKpVpf765du3G4cOEWACAiYj/q1v1nuH9mZjaioh6jcWMPrVy3oECBK1cu48mTJzA1NUWrVq1gYmKCggIF2rVrBwBo2LABdu7cWey9kyZNwuXLhfNsBQYGwsyssC9QePgDJCZmwMenOwAzHD0ajAYNmuDixYsYNuyfGbY9PDzQoEEDBAcHi53ATUxMcOfOHY0/gq8r9mk2eqwNQp5ChQ3Dm6NfUyet1U1E2qdUKlGnTh1ER0cDAL766ivMnDkTRkZG+Ouvv/Duu+8iNjYWQGErdq9evV5QG2mbtr+/y9Ry9N133yE9PR1ubm7w8PCAh4cH3N3dkZ6ejg0bNrx2UPRieXl5f48SzIG+/iN4euqhRg0lACX09fVfK0FRKpW4ceNeseODB3cTt48cCdYoMzU1RpMmdbSWkBkY6KNt27bo27cvunTpIi7oamCgD0fHwubqO3fu4NGjRxrvS0pKEpceMTOzwLFjoUhOFgDUglzeGIaGDQDUAmCN3r37wc3NDUOHDsW8efPEOu7fv49Dhw6JiZGhoSH27dun1cQIAL46fBt5ChXa1bbGW16OWq2biLQvJCRETIx8fX3x2WefiUsAtW/fHuvWrRPPLVpCiKquMvU5cnFxwZUrV3DixAncuXMHANCgQQP06NFDq8GRpqKRZ8nJD/DXXwfg5NQBFhamaNq0rlbqX7lyGzZs2Ivk5GdISPhTowP1sGG+SE5+hmHDfNGihe6G5Q4YMACbN38PlUrAzJkzMXv2bDRv3hy3bt3C3LlfIjZWAYUCeO+98bCzaw2ptDYAa3h41ICHR8l1Ll++HN7e3li3bh1Ony6cS0kul2PYsGH45JNPXrvT9b+dvZeMY2EJkOpJsKR/Y6238hGR9sXFxYnbJX3X9ezZU9x+/PhxsXKqWso8z5FEIkHPnj01fiGo/Jw5cxr5+U/Ro0dDODtnY+TIrlrvYJ2QkIK4uCQAwN69Afjgg3/62bi6OmDVqo+1er2yeOedd3DgwAEkJibh7t0oDBo0FSoVkJVV+AIKF6mdNm0uHB1L3yLTv39/9O/fH5mZmcjIyIC1tbVWZ+Eukq9QYfHvYQCAMd614OlQudaGI6KSWVhYiNu3bt0qVn7z5s0Sz6WqqdTJkb+/PyZNmgRDQ0P4+/u/8Nzp06e/dmBvuuzsbFy4cAGtWtWDmVk+XF2zoVLpAyjs8FzWxOjJk1Ts338Khw+fw759KyGT/dOxfvTovvjuu73o3bt9sdmsdUkQBLF15cKFCIwfvwCrVq1HWNh9/Lvfo5ubGw4dOvRKiZE6U1PTMs9ZVBrb/4rG/eQs1DCVYUaP0k0SWR4eP36Mbdu2iSuqd+jQAcOHDy/Xz05UlXXu3Fns07Jr1y6MGzcOPj4+AIC0tDTMnTtXPHfAgAG6CpO0pNQdst3d3XHp0iXY2NjA3d39+RVKJHjw4IHWAqxIuu6QnZGRgdTUVLi42KGgIAF//LEf7ds3hIPDqy18+iKjRn2B//3vKADg0KF16Nu3o1gmCAKePk2DjY2l1q5XFoIgQKks7D8VG5uIU6duYPjwEZDJauDevTjI5XI4ODjg4MGD2L17N5KTk2FjY4N33nkHQ4YMKZcWH21ISs+FzzeByMpXYtUQLwxt5VLhMRQNRf7666+hUCg0yiwtLbFlyxaN6RGI6B/z5s3DypUrxf3OnTvD0dERx44dQ1paGgDA0dER9+/fF/sjUcXQ9vc311ZTo4vkqGjIp56egJCQ43j48DbefbfLa9ebkZGFgIALGDTIR6NPy++/B2HAgNkAgBkzhuPbb2e/9rVeV35+AVJTM2BnZw1AD7t3n0bduvXRsmV7ZGXpISLiPho2bFhpk57SmrXnGvZfjUMzF0vsn9weenoV39do4cKFWLZs2XPL9fT0cOjQIfTu3bsCoyKqGvLy8jBgwAD8+eefJZZbWFjg+PHjaNOmTQVHRpVitNrSpUuRnZ1d7HhOTk6xybHo+QoKCrBnz39x714QgBto3twCQ4Z0eO16Fy/+HnZ2vhg8eC6uXLmjUebn541588bh0qWdWLt21mtfqywUCgVu345CRkYWABnCw1Nw+HA4BMETQDO0aTMQbm5tAVjCxMQczZs3r/KJ0aXop9h/NQ4SCbB0QCOdJEZxcXH4+uuvARS28M6ZMwc3btzAuXPnxMcAKpUKM2bMAP+fiag4uVyO33//HWvXrkXt2rXF44aGhhg/fjwuXbrExKiaKFPLkVQqRXx8POzs7DSOp6SkwM7ODkqlUmsBVqSKaDnKzMzEgwcP4OVVG0Aibt68BGdnu2JLa7yO77//FR9+WDhZ4yefjK4UHanv3IlGXp4CTZs2g0Ihx/btf8DHxxe1a3siOzsbCoWiyswt9aqUKgH9NpxDeHw6hrdxwfK3vV7+pnLw1VdfYcGCBQCATz75BKtWrRLLVCoVOnbsiJCQEACFc0R16fL6LZhE1ZVKpUJsbCxyc3Ph7OwsTjlCulEpWo7UO8iqu379OqytrV87qOqoMGEU8OxZFK5ePYzMzKsAUtGkSZ0yJUYxMQn4+uuf0LjxUMTHP9EoGzq0J5yd7TF58hAMHtxdOx+gFARBQEFBYT+WpKSn2Lv3NHJyjAG4IDPTHhkZTgA8oa/vhnHjPkLt2p4AAGNj42qbGAHArosxCI9Ph7mhPub4euosjrCwMHF7zJgxGmV6enoax9TPJaLi9PT0UKtWLXh6ejIxqoZeaSi/lZUVJBIJJBIJ6tWrp5EgKZVKZGZm4sMPP9R6kFVdYOBJKBRP0aNHfbi45GPkyG7Q1y/zLAoAgB9/PIAvv9wCANi16xhmz/5nFXsrK3PExBwq9/lzBEFAenoWLCxMAUiwb99Z1KrlgbZtO8HExANOTkZQqVwBmKBVK81WRvXFaauzZ1n5WHP8LgBgjp8nbEx193hQ/XcuIyOjWLn6sdf9/SQiqspe6S/gunXrIAgCJkyYgCVLlmjM5SCTyeDm5gZvb2+tB1nV5OTk4PLly2jatC7MzPLh5pYLwBBAPoDSf/EIgoDbt6Nw5Egwxo59C7a2VmLZ6NF9xOQoIuJhsfeWR2IkCAJSUtJgbGwIY2MjhIU9xoULdzFu3ERIpRZo08b676HgljAxATp27PjSOqurfIUKZyKS8ePZB0jNLkB9BzOMaOP68jeWo/bt24tLrqxZswb79u0Tf08yMjKwefNm8dwOHV6/7xsRUVVVpj5HQUFBaN++fYmLz1Zlr/PMMiEhAVlZWfDwcERBQRIOHPgFHTs2hpNT2Vdx/+qrLViwYBMAYMeOJRg9uq9G+f/930H06NEGbm7lty5Xenom0tIy4eLiCKVSju3bj6FVK294ebVDVlYOMjIyYGdnBz29Mj2hrVQEQUDUkyw8fJqNunamqGlp9EpJpkol4GL0U/x27TGO3IxHWk4BAEBfT4Jd77dDG3fdPnLOyMiAs7Mz0tPTARQmr6NHj0Z6ejo2bdokTsHRuXNnBAUF6TJUIqJXorOh/Onp6eIFi/64Pk9V7T/yKj9clUqFx48fw87ODjKZAiEhJ5CUFI0BA179/7gfPHiE338/gw8+eFtjBfuzZ6+ic+f3AQDvvuuLn3/++pXrflUKhQIxMQlwcrKFoaEFLl58gMjIRIwYMR6AFE+fPoWFhUWleiyWp1BCJtV75dYypUrA3YQMXIxKwcXop7gY9RRPMvPFcitjAzSuaYEmRS9ni2IJkyAICI9Px2/XHuOP648Rn5YrltmZydGvqROGtHRGA8fK8W9i7969ePfdd587Gs3Kygrnzp1Dw4YNKzgyIqKy01lypD5CTU+v5C+ioo7a1XW0mkKhQGZmJiwtLZGVlYT//W8runf3goeHHRQKRZn6acybtwErV24HABw96o9evdprXG/w4Lno2rUl+vbtWG6zVicnP0Nubh5cXGoiN1eOHTuOomfPvnB390ReXh6kUmml6YOSna/Arbh0XI9NxfVHha/YpzkwlknhaGEIJ0sjOFoYwtHCCE6Wmv+V6evhZlwaLkYVJkKXop8iPVdzIkSZvh5crY0R/SQLClXxfxrqCZNMXw+HbsQjMilTLDcz1Eefxo4Y0MwJbWvbQKqDIfsvc+jQIcycORORkZEaxzt16oTvv/8eDRo00FFkRERlo7PkKCgoCB06dIC+vv5Lm9yr6hDgkn64OTk5kMvl0NOTIDDwCFJSYjF4cHsAhRMXWlqWfm2sggIFDAw0k4x9+05g6NDCVeGnT38X69fP0drneZ6cnFxERj5C/fpuMDCwRFBQGFJTCzBgwFAAEuTk5FSK2V0LlCrcTcgoTIJiU3HjURoiEjNQQs5SKlI9CZT/erOpXB8ta1mhjbs12rhbw8vZAnJ9KfIUStxNyMDNuDTcfJSGm3GF1y5QFr+4TF8PPRrYoX/TmvCpbwu5fuVpVXselUqFwMBAhIWFwcDAAB06dECTJk10HRYRUZlwhuxyVPTDffLkCWxsbJCW9hR79mxHnz5t4OxsgtTUVEgkkr9HZ5Xe1at38P33+7F37wkEB29Bgwb/LL+Sm5uH7t0n4623OuHtt33g6emm5U9V6PbtKMjlMtSuXQ+pqSr8+usp9Os3BHZ2DsjPz4eBgYHOV4dPyynAlZhnuBT9FKHRz3A9NhV5ClWx8xzMDeHlbIGmLpZo6mwJTwczZOQWID4tF49TcxCflov4tL//m5qLx2k5yPi7hcjK2ACt3QoTobbuNmjgaAZ9aen6S6knTLfi0pCaXYDuDezh18geZobVq/8dEVFVUimSo2PHjsHU1FQcjbRx40b8+OOPaNiwITZu3AgrK6uX1FA5Ff1w9+37EUOGdAaQicjIGLi42EMul5W53vXrf8aMGWsAAPPnj8fXX0/RUsTPl5T0FDduRKJ7966QSMxx4sQlmJraol27wsd2SqVS5/2GHqfmIDT6KS5FP0No9FPcTczAv38bzQ31xSSoKCGyNzcsucIXyMxTIC2nAI7mhjqZnZqIiMqPtpOjMnUk+eSTT8TF927evIlZs2Zh9uzZOH36NGbNmoWtW7e+dmC61KCBBYDCOV/q1Cnd4qBXrtzB3r0BCAy8jC1bvkCjRh5i2bvv+mL27HWQyw3ESRK1TRAEBAVdhouLGzw8GkMQLJCbm4PcXDcYGRmhR4+aGufrKjG6k5COH848wIUHTxGXmlOs3L2GCVrVskJrN2u0dLNC7RomWmnRMpXrw1ReOfpNEZXVgwcPcOXKFQBA8+bN4eHh8ZJ3EFFZlOnbIioqShzN8uuvv6Jfv374+uuvceXKFfTp00erAeqCi4vdC8tzcnI1RpUBQFDQZbFj9alToRrJkb29DY4eXQ9vby+YmhprLc6oqDjcu/cYvr69IJGYQyJJgyDUAlAT9vbAW2/V0dq1Xldcag7WHo/A/quPxNYhqZ4EjZzM0drNGq3drNCyljVszar2GmpE5SEsLAwzZ85EQECAxvGePXvi22+/RaNGjXQUGVH1VKbkSCaTiQvPnjhxQlx2wNra+qXD/KuyzZt/wdatf+DKlTv466/v0bBhXXHaeB+fVuJ59+7FFntvz57tynzdokdgSqUSf/55Hk2aNIOLiycMDMwhk5lDpXKFnp4eunSpuKVCSutZVj7+ExiJ7SEPkf93/6G+TRwxvI0rmrtawoStOUQvdO3aNXTp0qXEv60BAQFo3749AgMD0bx5cx1ER1Q9lembqWPHjpg1axY6dOiAixcvYs+ePQCAiIgIODs7azVAXYiOjsejR4no0+efGZ4FQcCpU+dw8WLhmlPDhr0HW1spfHx8MGHCBHh51cWePcvRpUsL2NvblPnaBQUKJCQ8gaNjDejr6yM4OBxPnuRgwICBkEqNYWiYDqm0DgB7ODvbw9m57ut+3HKRW6DE1uBo/CcwUuwM3a62Neb1boBmLpa6DY6oihAEQZyoEwBcXV0xduxYAMCOHTvw8OFDpKenY/To0bh586bOB1UQVRdl6pAdExODjz76CLGxsZg+fTomTpwIAJg5cyaUSiX8/f21HmhFKOrQBQAGBvpISwuEkZEhBEHAl19+ie3bf8P9+4ChIeDgABStsSuTGWD16tVlXi4jLOw+TEyM4ObmgSdPcrF//ykMGPA27O3dkJCQhNzcXLi5uWnpUxb+wT3/4Cm2nHuAtJwCuFgbo5a1CVxtjOBqbYJaNsawMZGV6Q+tQqnCr1ce4duAe0hIL5wQsb6DGT7tXR9d69nyjzfRKwgMDISPjw8AwMvLC3/99ZfYWp2VlYUOHTrg+vXrAIBTp06J5xK9aSpFh2xXV1ccOnSo2PFvv/32tQPSho0bN2L16tVISEhA06ZNsWHDBrRp0+aV6igoUCA0NBydO7fA/v37cfDgbzAzA7y8gMaN68PV1QWhoaF49iwV+fkFmDdvHg4cOAhb2xovrfvJk1TcuxcDb+82ACwQG/sQtrYOcHNrCGtrFd59t454cx0cHMryIyiRIAgIjkyB/8l7uBj9VDweGv2s2LkmMmlh0mRjjFo2JrAwMoC+ngRSPQkMpHrQl0qgryeBvl7Rth6y8hX48cwD3Pt7UsSalkaY7VsPA5rVrJSTIRJVdqdOnRK3Z8+erbH6u4mJCWbPni12azh9+jSTIyItKXOHD6VSiYMHD+L27dsAgEaNGqF///46Hx6+Z88ezJo1C5s3b0bbtm2xbt06+Pn54e7du7Cze3FH6yI+Pi3h49MaLi72EAQB//vf/wAAenrAV18tFTud5+bm4vPPFyAwMBA5Obn4+ddD6Nx3BB6mKBH1RImHKQo8zVLBRCZBVlwk7BxsULOmK/JTVYi/l40EfWNYW8hh28AHVsYGyC1QwtBAqvXlVwRBwJl7T+B/8h4uPyxMhGRSPbzbxgWt3KwR+zQbMSnZePg0CzEp2YhPz0VWvhJ3EjJwJ6H46u0vY2lsgKk+dTCqXS0YGlT+CRGJKqu8vDxx297evli5+rHc3Nxi5URUNmVKjiIjI9GnTx/ExcXB09MTALB8+XK4uLjg8OHDOh1eunbtWrz//vsYP348AGDz5s04fPgwfvrpJ8ybN69UdRw8uAbm5oUTPUZFReHhwxgAQIsWzdGnTx/ciitARKIC0SkKZDSeg9Ts/lAZO2LNA2Os2ZAMiZ4UirREKNKSYOhaOOtwduRj6FsKkNUoGq3mhgO/hhe7dg1TOWpaGcHZygjOloX/Ldw3Rk1Lo1fqwCwIAk7fTcL6k5G4HpsKAJDr62F4G1d82MUDDhYlzxeUW6DEo2c5iH2ajYcpWYh5moOsPAUKVCoolAKUKgEFShUUf/9XqRIKjwsCvGvb4P3OtWFhxEkRiV5XvXr1xO09e/bAz89Po3zv3r0lnktEr6dMydH06dPh4eGB8+fPw/rvjjcpKSkYNWoUpk+fjsOHD2s1yNLKz8/H5cuXMX/+fPGYnp4eevTogZCQkGLn5+XlafyfWUmjQTIy/mk5qVOncGj8kj/SERpdAEV6MgBA36IeVPk5yLoRABevtqjnXgtWChXkuVJ07OKFnHwlMvM8kZGrQGZeATJzFcjMUyA9VyFup2TmIStfiSeZeXiSmScmM/9mYWQAB3ND2JnL4WBuCHtzQ9hbGMLeTA4Hi8J9GxMZTt9Nhv/Je7gZlwYAMDTQw6i2tTCpc23YvWQSRUMDKerYmaKO3ctnAi8oKMD+/fvx008/4f79+4gwMkJcjx6YPHky/1gTvaZ33nkHM2bMQGZmJrZu3Qo7OztMnjwZEokEmzZtwpYtWwAUPmIbOnSojqMlqj7KlBwFBQVpJEYAYGNjgxUrVqBDh1dflV5bnjx5AqVSWaz52d7eHnfu3Cl2/vLly7FkyZLn1icIAvT1DaFSFT5SCwoKgYdHEJo5t4G+nhKq2PswUObiwK8/ID8lDo3dHBC8eCWMjV99LiNBEJCWU4BHz3Lw6FkO4lJz8OhZduH2s8Lt9NzCWZ7TcgpwN/H5j7skEohzCRkZSDHGuxbe71wbNUy1O4dQcnIy+vbti9DQUI3jt27dwoYNG+Dv74+PPvpIq9ckepOYm5tj0aJF+OSTTwAAK1euFCfgVbdw4UKtP44nepOVKTmSy+UaLSpFMjMzIZOVfZmNijZ//nzMmjVL3E9PT4eLiwtu3LiHjh3bQRBk+OuvRzAza4JLl27iypVHMDU9j02bxsLGxga3btlg1KhRyI4oHC3ywZfzy5QYAYBEIoGlsQyWxjI0rmlR4jnpuQVISMtFYnouEtJykZSRJ+4XvvKQnJkHpUqAiUyKMe3d8F5Hd9hoOSkCCvuc9e/fXyMxMjMzQ3Z2NpRKJZRKJaZMmQInJycMHDhQ69cnelPMnj0bWVlZWLp0KVQqzbUG9fT08MUXX4jJExFpiVAGo0ePFho1aiScP39eUKlUgkqlEkJCQoTGjRsLY8eOLUuVWpGXlydIpVLhwIEDGsfHjBkj9O/f/6XvT0tLEwAIhw//IR5LTk4Wfv/9dwGA+DIyMhJq166tcaxWrVpCRkaGtj/SK1MoVUJCWo6Qnaco1+scOnRI/OxOTk7C8ePHBZVKJaSkpAjTp08Xy7y8vASVSlWusRC9CR48eCB89tlngq+vr+Dr6yt89tlnwoMHD3QdFlGlUPT9nZaWppX6ypQcPXv2TOjfv78gkUgEmUwmyGQyQSKRCAMHDhRSU1O1ElhZtWnTRpg6daq4r1QqhZo1awrLly9/6Xtf9MPdtGmToKenp5EQFb1cXFyE8PBwrX6Oym7o0KHi5z948KBGmUqlElq3bi2WX716VTdBEhHRG0HbyVGZHqtZWlrit99+Q2RkJMLDC0dcNWzYUOywrEuzZs3C2LFj0apVK7Rp0wbr1q1DVlaWOHqtrD788EN07NgRGzZswJEjR5CRkSHOVjtx4kRYWlpq5wNUETExMeL2v9fTk0gkGn2RYmJi0KxZs4oMj4iIqMzKPM/Rli1b8O233+LevXsAgLp162LGjBl47733tBZcWQwbNgzJyclYuHAhEhIS0KxZMxw7dqzEOUJeVePGjfH9999rIcqqz9T0n5FskZGRaNCggUZ5RESEuG1mZlZhcREREb0uvbK8aeHChfj444/Rr18/7Nu3D/v27UO/fv0wc+ZMLFy4UNsxvrKpU6fi4cOHyMvLw4ULF9C2bVtdh1TtqLcWzZ07V2NKhJCQEHH+FSsrK7RrV/ZFd1/XkydPsHLlSrRt2xZ169ZFx44dsXHjxhIHFBAREQFlXFvN1tYW/v7+GD58uMbxn3/+GdOmTcOTJ0+0FmBF0vbaLNXZs2fP4O7ujrS0wnmUnJ2d8dZbb+HRo0c4cuSIOKpm3rx5WL58uU5iDAwMxKBBg5CamlqsrGbNmjhy5Ai8vLwqPjAiItIqbX9/lyk5srS0RGhoKOrW1VwRPiIiAm3atCnxy6gqYHL0ao4dO4aBAwdqtBqp8/HxwZEjR2Bo+OJJJ8tDREQEWrZsiczMTPGYubm5xkSfDg4OuHHjBmxtbSs8PiIi0h5tf3+X6bHa6NGjsWnTpmLHf/jhB4wcOfK1g6KqoVevXggODka/fv0gkfyzsKyjoyOWLl2Ko0eP6iQxAoBVq1aJiZGvry8iIyORlpaG69evo1WrVgCAhIQEbN68uUz1Z2ZmIjExEQqFQmsxExFR5VCmlqNp06Zhx44dcHFxEfuTXLhwATExMRgzZgwMDP5ZV2vt2rXai7acseWo7BITExEdHQ0jIyM0aNBA43egouXn58PKygrZ2dkwNzdHbGysxv2Mjo6Gh4cHVCoVateujfv375eqXkEQsG/fPvj7+yM4OBhAYWfzUaNGYc6cOahdu3a5fB4iInqxSvFYzcfHp3SVSyQ4derUKwelK0yOqof4+Hg4OTkBAPr27YtDhw4VO6dp06a4ceMGpFJpqVp/BEHA5MmTnzta0cLCAkePHoW3t/frBU9ERK9M29/fZRrKf/r06de+MFF5MTExEbcjIyMhCILGY7/c3Fw8fPgQgOaUBC+yefNmjcTI09MT7u7uOHv2LLKyspCWlob+/fsjMjISFhYlL/9CRERVQ5n6HBFVZubm5uICyHfv3sWPP/4olgmCgC+//FIcZffvCSxLolKpsGbNGnH/p59+wu3bt3H06FHExMSgS5cuAAqnDdixY4c2PwoREelAmR6rVVd8rFZ9/PLLL3jnnXfE/Q4dOqBly5Y4c+YMrl27Jh4/f/78S+fBunr1Klq0aAEA6N69O06cOKFRHhYWhsaNGwMAOnfujKCgIC19CiIiKo1KMVqNqLIbPHgwpk6dKu4HBwfD399fIzFatWpVqSYIffr0qbjdsmXLYuWNGjWCXC4vdi4REVVNTI6oWpJIJPD398f//d//FVvapHXr1ti/fz8++eSTUtWlvvTM2bNni5WHhoaKcz1pY5kaIiLSLSZHVG1JJBJMnDgRYWFhCA8Px7lz5xAZGYmLFy9i0KBBpa6nUaNGaNSoEYDCpVG+/vpr5OfnAwCioqLwwQcfiOf+e9Z4IiKqetjnSA37HNHz7Nq1S2OCUxsbGzg7O+PmzZviUim1atVCeHg4jI2NdRUmEdEbiX2OiHRgxIgRWLx4sbifkpKC69evi4mRo6MjDh8+zMSIiKgaYHJEVEqLFi1CUFAQBg8eDFNTU+jp6cHd3R1Lly7FjRs3xEdvRERUtfGxmho+VqNX8e/JJYmISDf4WI2okmBiRERUPTE5IiIiIlLD5IiIiIhITZkWnqXKSaVSITAwEJcuXQIAtGrVCl27doWeHnNgIiKi0mJyVE2cOnUKkydPRkREhMbxunXrYvPmzejWrZuOIiMiIqpa2KRQDZw4cQJ+fn7FEiMAuHfvHvz8/HD8+HEdREZERFT1sOVIxyIjI3HmzBnk5+ejQYMG6NSp0ys9BlMqlZg4cSIUCgUAoF27dpg0aRIkEgl++OEHhISEQKFQ4L333sODBw+gr89bTkRE9CJsOdKRqKgo9O7dG3Xr1sXEiRMxefJkdO3aFZ6envj9999LXc/Ro0cRExMDAOjcuTPOnTuH8ePHY9y4cTh79iy6dOkCAIiNjcWRI0dKXW9ubi5+/PFHtG3bFubm5qhRowYGDx6M06dPv9oHJSIiqmKYHOlAdHQ02rdvj2PHjhUri4yMxMCBA/Hf//63VHWFhISI29OmTYNUKhX3pVIppk2bJu6fP3++VHUmJSWhffv2mDRpEi5evIiMjAykpKRg//796NatG6ZPnw7OHUpERNUVkyMdmDZtGhISEgAANWvWxLJly/Cf//wHnTp1AlA48/IHH3yAZ8+evbSuorW9AEAulxcrVz+mfu7zCIKAwYMH4+rVq+IxNzc3WFlZifsbNmzA2rVrX1oXERFRVcTkqIJFR0fj8OHDAAoXK71+/ToWLFiAyZMnIygoCCNGjAAAZGdnY9u2bS+tr2nTpuL2li1bNFp0BEHAli1bSjz3eYKCgnDu3DkAgJOTE4KDgxEVFYXExERs2LBBPG/VqlXIz89/aX1ERERVDZOjChYcHCwmMO+99x5sbGzEMolEgrlz54r7RUnKiwwcOBA1atQAAPz222949913ERgYiKCgIAwfPhwHDx4EANjY2GDQoEEvrW/Xrl3i9urVq9G+fXsAgIGBAaZOnYohQ4YAKHz0dvLkyZfWR0REVNUwOapgRaPKAMDS0rJYufqxgoKCl9ZnaGiIdevWift79+6Fj48Punbtij179ojH161bB0NDw5fW9/jxY3G7pLmR1I/Fx8e/tD4iIqKqhslRBWvYsKG4/b///Q9KpVKjfOfOnSWe+yIjR47Etm3bSlyJ2NzcHNu2bcOoUaNKVZd636Jr164VK1c/VlJyR0REVNVJBA47EqWnp8PCwgJpaWklJhraIAgCmjdvjuvXrwMA+vfvj3nz5sHGxga7du3CV199JbYuRUREoG7duqWuOzMzE7t378bly5cBAC1btsS7774LU1PTUtfx66+/io/OmjVrhj///BN2dnYAgDNnzsDX1xd5eXkwMTFBXFwcLCwsSl03ERFRedD29zeTIzUVkRwBwMmTJ+Hn51es1UjdtGnT4O/vX24xPE9BQQEaNGiA+/fvAwCMjY3Rs2dPpKSkaPSB+vjjjzUe5xEREekKk6NyVFHJEVDYeXrcuHFITU3VOC6RSDB9+nSsWbNGY86iinTr1i10794dSUlJJZZ3794dhw4dKlUfJiIiovLG5KgcVWRyBBQ+Btu1axfOnDmDvLw81K9fHxMmTIC7u3u5X/tlYmNjsXLlSuzYsQMZGRkAAA8PD0yZMgVTpkyBTCbTcYRERESFmByVo4pOjqqCvLw8PH78GHK5HI6OjpBIJLoOiYiISIO2v7+5Cim9kFwurxQtWURERBWFQ/mJiIiI1DA5IiIiIlLD5IiIiIhIDfscVQGpqanYuXMnQkJCoFQq0aRJE4wfPx41a9bUdWhERETVDkerqamMo9V27tyJyZMnIysrS+O4VCrFggULsGjRIo4gIyKiNxpHq71BfvnlF4wZM6bEMqVSiSVLlkBfXx8LFiyo4MiIiIiqL/Y5qqQUCgVmzZol7o8YMQKhoaEICwvDnDlzxNaiZcuWPXcmayIiInp1TI4qqYCAAMTGxgIAevbsif/+979o1aoVGjZsiNWrV2PatGkAgPz8fOzcuVOXoRIREVUrTI4qqfDwcHF71KhRxfoVjR49WtwOCwursLiIiIiqOyZHlZS+/j/dwdLS0oqVqy9Ya2BgUBEhERERvRGYHFVSHTt2FLe/++47ZGZmivtKpRLffPONuN+pU6cKjY2IiKg641B+NZVtKH+7du1w4cIFAICHhwfef/99GBsbY/v27bh8+TIAwNbWFjExMTA0NNRlqERERDqj7e9vJkdqKltydOvWLXTq1EnjEZo6fX19/Pbbb+jTp0/FBkZERFSJaPv7m4/VKrHGjRvj3Llz6Ny5c7GyRo0a4c8//2RiREREpGWcBLKSa9SoEYKCghAWFiYuH+Ll5YV27dpxZmwiIqJywOSoimjUqBEaNWqk6zCIiIiqPT5WIyIiIlLD5IiIiIhIDZMjIiIiIjVMjoiIiIjUMDkiIiIiUlMlkqPo6GhMnDgR7u7uMDIygoeHBxYtWoT8/HyN827cuIFOnTrB0NAQLi4uWLVqlY4iJiIioqqqSgzlv3PnDlQqFb7//nvUqVMHt27dwvvvv4+srCxxjbH09HT4+vqiR48e2Lx5M27evIkJEybA0tISkyZN0vEnICIioqqiyi4fsnr1amzatAkPHjwAAGzatAmff/45EhISIJPJAADz5s3DwYMHcefOnVLVWdmWDyEiIqKX4/Ihf0tLS4O1tbW4HxISgs6dO4uJEQD4+fnh7t27ePbsWYl15OXlIT09XeNFREREb7YqmRxFRkZiw4YN+OCDD8RjCQkJsLe31zivaD8hIaHEepYvXw4LCwvx5eLiUn5BExERUZWg0+Ro3rx5kEgkL3z9+5FYXFwcevXqhXfeeQfvv//+a11//vz5SEtLE1+xsbGvVR8RERFVfTrtkD179myMGzfuhefUrl1b3H78+DF8fHzQvn17/PDDDxrnOTg4IDExUeNY0b6Dg0OJdcvlcsjl8jJETkRERNWVTpMjW1tb2NralurcuLg4+Pj4oGXLlti6dSv09DQbvby9vfH555+joKAABgYGAICAgAB4enrCyspK67ETERFR9VQl+hzFxcWha9eucHV1xTfffIPk5GQkJCRo9CUaMWIEZDIZJk6ciLCwMOzZswfr16/HrFmzdBg5ERERVTVVYp6jgIAAREZGIjIyEs7OzhplRTMRWFhY4Pjx45gyZQpatmyJGjVqYOHChZzjiIiIiF5JlZ3nqDxwniMiIqKqh/McEREREZUjJkdEREREapgcEREREalhckRERESkhskRERERkRomR0RERERqmBwRERERqWFyRERERKSGyRERERGRGiZHRERERGqYHBERERGpYXJEREREpIbJEREREZEaJkdEREREapgcEREREalhckRERESkhskRERERkRomR0RERERqmBwRERERqdHXdQBERFT9KJVKFBQU6DoMqkZkMhn09CqmTYfJERERaY0gCEhISEBqaqquQ6FqRk9PD+7u7pDJZOV+LSZHRESkNUWJkZ2dHYyNjSGRSHQdElUDKpUKjx8/Rnx8PFxdXcv994rJERERaYVSqRQTIxsbG12HQ9WMra0tHj9+DIVCAQMDg3K9FjtkExGRVhT1MTI2NtZxJFQdFT1OUyqV5X4tJkdERKRVfJRG5aEif6+YHBERERGpYXJERERUwQIDAyGRSDiqr5JickRERG80iUTywtfixYt1HSJVMI5WIyKiN1p8fLy4vWfPHixcuBB3794Vj5mamorbgiBAqVRCX59fn9UZW46IiOiN5uDgIL4sLCwgkUjE/Tt37sDMzAxHjx5Fy5YtIZfLce7cOdy/fx8DBgyAvb09TE1N0bp1a5w4cUKj3ry8PHz66adwcXGBXC5HnTp1sGXLlhJjyM7ORu/evdGhQwc+aqsEmBwREVG5W7t2LZydneHs7IzAwECNsqioKLFs2rRpxd7bv39/sfzftm3bJpbt37+/vMLHvHnzsGLFCty+fRteXl7IzMxEnz59cPLkSVy9ehW9evVCv379EBMTI75nzJgx+Pnnn+Hv74/bt2/j+++/12iFKpKamoqePXtCpVIhICAAlpaW5fY5qHTYLkhEROUuPT0dcXFxAApbVNQplUqx7NmzZ8Xem5ycLJb/W1ZWlliWnZ2tzZA1LF26FD179hT3ra2t0bRpU3F/2bJlOHDgAH7//XdMnToVERER2Lt3LwICAtCjRw8AQO3atYvVm5CQgGHDhqFu3brYtWtXhSyNQS/H5IiIiMqdubk5atasCQCQy+UaZVKpVCyzsrIq9l5bW1ux/N9MTEzEsvKcfLJVq1Ya+5mZmVi8eDEOHz6M+Ph4KBQK5OTkiC1H165dg1QqRZcuXV5Yb8+ePdGmTRvs2bMHUqm03OKnV8PkiIiIyt2sWbMwa9asEsvc3d3x6NGj5773999/f27ZuHHjMG7cuNcN76VMTEw09ufMmYOAgAB88803qFOnDoyMjDBkyBDk5+cDAIyMjEpVb9++ffHrr78iPDwcTZo00XrcVDZMjoiIiF5RcHAwxo0bh0GDBgEobEmKjo4Wy5s0aQKVSoWgoCDxsVpJVqxYAVNTU3Tv3h2BgYFo2LBheYdOpcAO2URERK+obt262L9/P65du4br169jxIgRUKlUYrmbmxvGjh2LCRMm4ODBg4iKikJgYCD27t1brK5vvvkGI0eORLdu3XDnzp2K/Bj0HEyOiIiIXtHatWthZWWF9u3bo1+/fvDz80OLFi00ztm0aROGDBmCjz76CPXr18f777+PrKysEuv79ttvMXToUHTr1g0REREV8RHoBSSCIAi6DqKySE9Ph4WFBdLS0mBubq7rcIiIqpTc3FxERUXB3d0dhoaGug6HqpkX/X5p+/ubLUdEREREapgcEREREalhckRERESkhskRERERkRomR0RERERqmBwRERERqWFyRERERKSGyRERERGRGiZHRERERGqYHBERERGpYXJERESVRlJSEr788ks0btwYdnZ2aNiwIRYuXIjHjx+X63XHjRsHiUSCDz/8sFjZlClTIJFIMG7cuHKNobqTSCQ4ePCgrsMoFSZHRERUKZw7dw7169fHF198gbCwMCQnJ+P27dtYtmwZPD09ERAQUK7Xd3Fxwe7du5GTkyMey83Nxa5du+Dq6lqu135d+fn5ug6hWmFyREREOhcTE4O33noLz549A1DYyuDi4gI9vcKvqczMTAwcOBB3794ttxhatGgBFxcX7N+/Xzy2f/9+uLq6onnz5uIxlUqF5cuXw93dHUZGRmjatCl++eUXsVypVGLixIliuaenJ9avX69xrcDAQLRp0wYmJiawtLREhw4d8PDhQwCFrVgDBw7UOH/GjBno2rWruN+1a1dMnToVM2bMQI0aNeDn5wcAuHXrFnr37g1TU1PY29tj9OjRePLkicb7pk2bhhkzZsDKygr29vb48ccfkZWVhfHjx8PMzAx16tTB0aNHNa5fmnqnT5+OuXPnwtraGg4ODli8eLFY7ubmBgAYNGgQJBKJuH/9+nX4+PjAzMwM5ubmaNmyJS5duvSSO1X+mBwREZHO+fv7Iy0tDQDQrVs3REVFISYmBjExMejbty8AIDs7G2vXri3XOCZMmICtW7eK+z/99BPGjx+vcc7y5cuxY8cObN68GWFhYZg5cyZGjRqFoKAgAIXJk7OzM/bt24fw8HAsXLgQn332Gfbu3QsAUCgUGDhwILp06YIbN24gJCQEkyZNgkQieaVYt2/fDplMhuDgYGzevBmpqano1q0bmjdvjkuXLuHYsWNITEzE0KFDi72vRo0auHjxIqZNm4bJkyfjnXfeQfv27XHlyhX4+vpi9OjRyM7OBoBXqtfExAQXLlzAqlWrsHTpUrG1LzQ0FACwdetWxMfHi/sjR46Es7MzQkNDcfnyZcybNw8GBgav9HMoFwKJ0tLSBABCWlqarkMhIqpycnJyhPDwcCEnJ+eV32tvby8AEGQymZCYmKhRlpqaKpiamgoABFNTU0GhUGgrZNHYsWOFAQMGCElJSYJcLheio6OF6OhowdDQUEhOThYGDBggjB07VsjNzRWMjY2Fv/76S+P9EydOFIYPH/7c+qdMmSIMHjxYEARBSElJEQAIgYGBL4xF3ccffyx06dJF3O/SpYvQvHlzjXOWLVsm+Pr6ahyLjY0VAAh3794V39exY0exXKFQCCYmJsLo0aPFY/Hx8QIAISQkpMz1CoIgtG7dWvj000/FfQDCgQMHNM4xMzMTtm3bVuLP4d9e9Pul7e9vfZ1lZURERChsSUlMTAQANGvWDHZ2dhrlFhYWaNeuHU6cOIHMzEykpaXB2tq6XGKxtbVF3759sW3bNgiCgL59+6JGjRpieWRkJLKzs9GzZ0+N9+Xn52s8etu4cSN++uknxMTEICcnB/n5+WjWrBkAwNraGuPGjYOfnx969uyJHj16YOjQoXB0dHylWFu2bKmxf/36dZw+fRqmpqbFzr1//z7q1asHAPDy8hKPS6VS2NjYoEmTJuIxe3t7AIWd48taLwA4OjqKdTzPrFmz8N5772Hnzp3o0aMH3nnnHXh4eLzwPRWByREREemUVCqFsbExsrOzERkZiby8PMjlcrFcqVTi9u3bAAA9PT2YmJiUazwTJkzA1KlTARQmOeoyMzMBAIcPH0bNmjU1yopi3r17N+bMmYM1a9bA29sbZmZmWL16NS5cuCCeu3XrVkyfPh3Hjh3Dnj17sGDBAgQEBKBdu3bQ09ODIAgadRcUFBSL898/h8zMTPTr1w8rV64sdq564vXvx1YSiUTjWNHjPZVK9dr1FtXxPIsXL8aIESNw+PBhHD16FIsWLcLu3bsxaNCgF76vvDE5IiIinZJIJOjXrx/27NmDp0+fYuHChVixYgUkEgkEQcCKFSsQFxcHAOjVq5dG4lQeevXqhfz8fEgkErGjc5GGDRtCLpcjJiYGXbp0KfH9wcHBaN++PT766CPx2P3794ud17x5czRv3hzz58+Ht7c3du3ahXbt2sHW1ha3bt3SOPfatWsv7YvTokUL/Prrr3Bzc4O+vva+3rVVr4GBAZRKZbHj9erVQ7169TBz5kwMHz4cW7du1XlyVOU6ZOfl5aFZs2aQSCS4du2aRtmNGzfQqVMnGBoawsXFBatWrdJNkERE9EpmzJghbq9atQr169fH+PHj0bhxYyxYsKDE88qLVCrF7du3ER4eDqlUqlFmZmaGOXPmYObMmdi+fTvu37+PK1euYMOGDdi+fTsAoG7durh06RL+/PNPRERE4IsvvhA7IANAVFQU5s+fj5CQEDx8+BDHjx/HvXv30KBBAwCFHdIvXbqEHTt24N69e1i0aFGxZKkkU6ZMwdOnTzF8+HCEhobi/v37+PPPPzF+/PgSk5LS0la9bm5uOHnyJBISEvDs2TPk5ORg6tSpCAwMxMOHDxEcHIzQ0FDx56BLVS45mjt3LpycnIodT09Ph6+vL2rVqoXLly9j9erVWLx4MX744QcdRElERK+iXbt2+Pbbb8X9iIgIbNu2DeHh4eKxpUuXFuvrU17Mzc1hbm5eYtmyZcvwxRdfYPny5WjQoAF69eqFw4cPw93dHQDwwQcf4O2338awYcPQtm1bpKSkaLQiGRsb486dOxg8eDDq1auHSZMmYcqUKfjggw8AAH5+fvjiiy8wd+5ctG7dGhkZGRgzZsxLY3ZyckJwcDCUSiV8fX3RpEkTzJgxA5aWluKUCGWhrXrXrFmDgIAAuLi4oHnz5pBKpUhJScGYMWNQr149DB06FL1798aSJUvKHKvWaKVbdwU5cuSIUL9+fSEsLEwAIFy9elUs+89//iNYWVkJeXl54rFPP/1U8PT0LHX9HK1GRFR2rzNarciRI0eErl27CgDEV/v27YuNcqI3D0erlSAxMRHvv/8+Dh48CGNj42LlISEh6Ny5M2QymXjMz88PK1euxLNnz2BlZVXsPXl5ecjLyxP309PTyyd4IiIqld69e6N3795ITExEcnIyrK2tS3xaQFSeqsRjNUEQMG7cOHz44Ydo1apVieckJCSIww+LFO0nJCSU+J7ly5fDwsJCfLm4uGg3cCIiKhN7e3s0btyYiRHphE6To3nz5kEikbzwdefOHWzYsAEZGRmYP3++Vq8/f/58pKWlia/Y2Fit1k9ERERVj04fq82ePfulqxzXrl0bp06dQkhISLHhm61atcLIkSOxfft2ODg4iJOIFSnad3BwKLFuuVxe7kNCiYiIqGrRaXJka2sLW1vbl57n7++PL7/8Utx//Pgx/Pz8sGfPHrRt2xYA4O3tjc8//xwFBQXiXBABAQHw9PQssb8RERERUUmqRIdsV1dXjf2iKcw9PDzg7OwMABgxYgSWLFmCiRMn4tNPP8WtW7ewfv16jaGhRERERC9TJZKj0rCwsMDx48cxZcoUtGzZEjVq1MDChQsxadIkXYdGREREVUiVTI7c3NyKrTsDFC56d/bsWR1ERERERNVFlRjKT0RERFRRmBwRERE9R9euXTXWc3Nzc8O6det0Fg9VDCZHRET0xhs3blyJc+2tWrUKy5Yte+77JBIJDh48WHGBUoWokn2OiIiItK1Xr17YunWrxjFbW1tIpdJyv7b6NDSke2w5IiKiciMIArLzFRX+KmnQzsvI5XI4ODhovLp3767xWE2dm5sbAGDQoEGQSCTiPgD89ttvaNGiBQwNDVG7dm0sWbIECoVCLJdIJNi0aRP69+8PExMTfPXVV68cL5UfthwREVG5ySlQouHCPyv8uuFL/WAsK9+vuNDQUNjZ2WHr1q3o1auX2MJ09uxZjBkzBv7+/ujUqRPu378vTiuzaNEi8f2LFy/GihUrsG7dOujr8+u4MuHdICIiAnDo0CFxkmEA6N279wvPL1rhwdLSUmOZqiVLlmDevHkYO3YsgMJlsJYtW4a5c+dqJEcjRozA+PHjtfkRSEuYHBERUbkxMpAifKmfTq77qnx8fLBp0yZx38TEBMOHD3/leq5fv47g4GCNR2VKpRK5ubnIzs6GsbExgML1QalyYnJERETlRiKRlPvjLW0xMTFBnTp1XruezMxMLFmyBG+//XaxMkNDQ43rUeVUNX5jiYiIKiEDAwMolUqNYy1atMDdu3e1kmiRbjA5IiIiKiM3NzecPHkSHTp0gFwuh5WVFRYuXIi33noLrq6uGDJkCPT09HD9+nXcunULX375pa5DplLgUH4iIqIyWrNmDQICAuDi4oLmzZsDAPz8/HDo0CEcP34crVu3Rrt27fDtt9+iVq1aOo6WSksilGUyiGoqPT0dFhYWSEtLg7m5ua7DISKqUnJzcxEVFQV3d3eNvjVE2vCi3y9tf3+z5YiIiIhIDZMjIiIiIjVMjoiIiIjUMDkiIiIiUsPkiIiItIrjfKg8VOTvFZMjIiLSCgMDAwBAdna2jiOh6ig/Px8AxAV+yxMngSQiIq2QSqWwtLREUlISAMDY2BgSiUTHUVF1oFKpkJycDGNjY+jrl3/qwuSIiIi0pmh1+qIEiUhb9PT04OrqWiEJN5MjIiLSGolEAkdHR9jZ2aGgoEDX4VA1IpPJoKdXMb2BmBwREZHWSaXSCukbQlQe2CGbiIiISA2TIyIiIiI1TI6IiIiI1LDPkZqiCabS09N1HAkRERGVVtH3trYmimRypCYlJQUA4OLiouNIiIiI6FWlpKTAwsLitethcqTG2toaABATE6OVHy69nvT0dLi4uCA2Nhbm5ua6DueNxntRefBeVB68F5VHWloaXF1dxe/x18XkSE3R/AkWFhb8Ra9EzM3NeT8qCd6LyoP3ovLgvag8tDUPEjtkExEREalhckRERESkhsmRGrlcjkWLFkEul+s6FALvR2XCe1F58F5UHrwXlYe274VE0Na4NyIiIqJqgC1HRERERGqYHBERERGpYXJEREREpIbJEREREZEaJkdqNm7cCDc3NxgaGqJt27a4ePGirkOq9s6cOYN+/frByckJEokEBw8e1CgXBAELFy6Eo6MjjIyM0KNHD9y7d083wVZzy5cvR+vWrWFmZgY7OzsMHDgQd+/e1TgnNzcXU6ZMgY2NDUxNTTF48GAkJibqKOLqa9OmTfDy8hInF/T29sbRo0fFct4H3VmxYgUkEglmzJghHuP9qDiLFy+GRCLReNWvX18s19a9YHL0tz179mDWrFlYtGgRrly5gqZNm8LPzw9JSUm6Dq1ay8rKQtOmTbFx48YSy1etWgV/f39s3rwZFy5cgImJCfz8/JCbm1vBkVZ/QUFBmDJlCs6fP4+AgAAUFBTA19cXWVlZ4jkzZ87EH3/8gX379iEoKAiPHz/G22+/rcOoqydnZ2esWLECly9fxqVLl9CtWzcMGDAAYWFhAHgfdCU0NBTff/89vLy8NI7zflSsRo0aIT4+XnydO3dOLNPavRBIEARBaNOmjTBlyhRxX6lUCk5OTsLy5ct1GNWbBYBw4MABcV+lUgkODg7C6tWrxWOpqamCXC4Xfv75Zx1E+GZJSkoSAAhBQUGCIBT+7A0MDIR9+/aJ59y+fVsAIISEhOgqzDeGlZWV8H//93+8DzqSkZEh1K1bVwgICBC6dOkifPzxx4Ig8N9FRVu0aJHQtGnTEsu0eS/YcgQgPz8fly9fRo8ePcRjenp66NGjB0JCQnQY2ZstKioKCQkJGvfFwsICbdu25X2pAGlpaQD+WZD58uXLKCgo0Lgf9evXh6urK+9HOVIqldi9ezeysrLg7e3N+6AjU6ZMQd++fTV+7gD/XejCvXv34OTkhNq1a2PkyJGIiYkBoN17wYVnATx58gRKpRL29vYax+3t7XHnzh0dRUUJCQkAUOJ9KSqj8qFSqTBjxgx06NABjRs3BlB4P2QyGSwtLTXO5f0oHzdv3oS3tzdyc3NhamqKAwcOoGHDhrh27RrvQwXbvXs3rly5gtDQ0GJl/HdRsdq2bYtt27bB09MT8fHxWLJkCTp16oRbt25p9V4wOSKiYqZMmYJbt25pPMuniuXp6Ylr164hLS0Nv/zyC8aOHYugoCBdh/XGiY2Nxccff4yAgAAYGhrqOpw3Xu/evcVtLy8vtG3bFrVq1cLevXthZGSktevwsRqAGjVqQCqVFuvRnpiYCAcHBx1FRUU/e96XijV16lQcOnQIp0+fhrOzs3jcwcEB+fn5SE1N1Tif96N8yGQy1KlTBy1btsTy5cvRtGlTrF+/nvehgl2+fBlJSUlo0aIF9PX1oa+vj6CgIPj7+0NfXx/29va8HzpkaWmJevXqITIyUqv/NpgcofCPUMuWLXHy5EnxmEqlwsmTJ+Ht7a3DyN5s7u7ucHBw0Lgv6enpuHDhAu9LORAEAVOnTsWBAwdw6tQpuLu7a5S3bNkSBgYGGvfj7t27iImJ4f2oACqVCnl5ebwPFax79+64efMmrl27Jr5atWqFkSNHitu8H7qTmZmJ+/fvw9HRUbv/Nl6j03i1snv3bkEulwvbtm0TwsPDhUmTJgmWlpZCQkKCrkOr1jIyMoSrV68KV69eFQAIa9euFa5evSo8fPhQEARBWLFihWBpaSn89ttvwo0bN4QBAwYI7u7uQk5Ojo4jr34mT54sWFhYCIGBgUJ8fLz4ys7OFs/58MMPBVdXV+HUqVPCpUuXBG9vb8Hb21uHUVdP8+bNE4KCgoSoqCjhxo0bwrx58wSJRCIcP35cEATeB11TH60mCLwfFWn27NlCYGCgEBUVJQQHBws9evQQatSoISQlJQmCoL17weRIzYYNGwRXV1dBJpMJbdq0Ec6fP6/rkKq906dPCwCKvcaOHSsIQuFw/i+++EKwt7cX5HK50L17d+Hu3bu6DbqaKuk+ABC2bt0qnpOTkyN89NFHgpWVlWBsbCwMGjRIiI+P113Q1dSECROEWrVqCTKZTLC1tRW6d+8uJkaCwPuga/9Ojng/Ks6wYcMER0dHQSaTCTVr1hSGDRsmREZGiuXauhcSQRAELbRsEREREVUL7HNEREREpIbJEREREZEaJkdEREREapgcEREREalhckRERESkhskRERERkRomR0RERERqmBwRERERqWFyRERVXmBgICQSSbEFJ4mIyoIzZBNRldO1a1c0a9YM69atAwDk5+fj6dOnsLe3h0Qi0W1wRFTl6es6ACKi1yWTyeDg4KDrMIiomuBjNSKqUsaNG4egoCCsX78eEokEEokE27Zt03istm3bNlhaWuLQoUPw9PSEsbExhgwZguzsbGzfvh1ubm6wsrLC9OnToVQqxbrz8vIwZ84c1KxZEyYmJmjbti0CAwN180GJSGfYckREVcr69esRERGBxo0bY+nSpQCAsLCwYudlZ2fD398fu3fvRkZGBt5++20MGjQIlpaWOHLkCB48eIDBgwejQ4cOGDZsGABg6tSpCA8Px+7du+Hk5IQDBw6gV69euHnzJurWrVuhn5OIdIfJERFVKRYWFpDJZDA2NhYfpd25c6fYeQUFBdi0aRM8PDwAAEOGDMHOnTuRmJgIU1NTNGzYED4+Pjh9+jSGDRuGmJgYbN26FTExMXBycgIAzJkzB8eOHcPWrVvx9ddfV9yHJCKdYnJERNWSsbGxmBgBgL29Pdzc3GBqaqpxLCkpCQBw8+ZNKJVK1KtXT6OevLw82NjYVEzQRFQpMDkiomrJwMBAY18ikZR4TKVSAQAyMzMhlUpx+fJlSKVSjfPUEyoiqv6YHBFRlSOTyTQ6UmtD8+bNoVQqkZSUhE6dOmm1biKqWjhajYiqHDc3N1y4cAHR0dF48uSJ2PrzOurVq4eRI0dizJgx2L9/P6KionDx4kUsX74chw8f1kLURFRVMDkioipnzpw5kEqlaNiwIWxtbRETE6OVerdu3YoxY8Zg9uzZ8PT0xMCBAxEaGgpXV1et1E9EVQNnyCYiIiJSw5YjIiIiIjVMjoiIiIjUMDkiIiIiUsPkiIiIiEgNkyMiIiIiNUyOiIiIiNQwOSIiIiJSw+SIiIiISA2TIyIiIiI1TI6IiIiI1DA5IiIiIlLz/6lzR5YMWSn8AAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from numpy.random import seed\n", + "seed(2)\n", + "trk, zs = compute_dog_data(z_var=225, process_var=.02, count=50)\n", + "\n", + "run(track=trk, zs=zs, R=225, Q=200, P=P, plot_P=False, \n", + " title='R_var = 225 $m^2$, Q_var = 20 $m^2$')\n", + "run(track=trk, zs=zs, R=225, Q=.02, P=P, plot_P=False, \n", + " title='R_var = 225 $m^2$, Q_var = 0.02 $m^2$');" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "e6908df5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import kf_book.mkf_internal as mkf_internal\n", + "\n", + "var = 27.5\n", + "data = mkf_internal.zs_var_275()\n", + "run(track=trk, zs=zs, R=var, Q=.02, P=500., plot_P=True, \n", + " title='$P=500\\, m^2$');" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "d910c1c9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.array([100., 0.])\n", + "run(track=trk, zs=zs, R=var, Q=.02, P=1., x0=x,\n", + " plot_P=False, title='$P=1\\, m^2$');" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "09ecfba6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.array([100., 0.])\n", + "run(track=trk, zs=zs, R=var, Q=.02, P=500., x0=x,\n", + " plot_P=False, title='$P=500\\, m^2$');" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "e5093293", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kf_book.mkf_internal import plot_track_ellipses\n", + "\n", + "def plot_covariances(count, R, Q=0, P=20., title=''): \n", + " track, zs = compute_dog_data(R, Q, count)\n", + " f = pos_vel_filter(x=(0., 0.), R=R, Q=Q, P=P)\n", + "\n", + " xs, cov = [], []\n", + " for z in zs:\n", + " f.predict()\n", + " f.update(z)\n", + "\n", + " xs.append(f.x[0])\n", + " cov.append(f.P)\n", + " plot_track_ellipses(count, zs, xs, cov, title)\n", + "\n", + "plt.figure(figsize=(10,6))\n", + "plt.subplot(121)\n", + "plot_covariances(R=5, Q=.02, count=20, title='$R = 5\\, m^2$')\n", + "plt.subplot(122)\n", + "plot_covariances(R=.5, Q=.02, count=20, title='$R = 0.5\\, m^2$')" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "3e4ea2b6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "count = 50\n", + "track, zs = compute_dog_data(10, .2, count)\n", + "P = np.diag([500., 49.])\n", + "f = pos_vel_filter(x=(0., 0.), R=3., Q=.02, P=P)\n", + "xs, _, _, _ = f.batch_filter(zs)\n", + "\n", + "book_plots.plot_measurements(range(1, count + 1), zs)\n", + "book_plots.plot_filter(range(1, count + 1), xs[:, 0])\n", + "plt.legend(loc='best');" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "7c695741", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+jvn4Uh2PnFjp2+slgYLL1gjWafO1YNSqfnhQ3ygAYz9sSKCSgvuPLOGH3/0FvP7/fD32O9pgi5C/HeYGfd9ji/jbWx/MtYHw4C7o4zw087ndBpFFT52NIvji240vx3pa6PfLOZk+Z7cl2Ta89IO34Kr/fhMW16EZatTqYuBv1Xe0R7jqR9PwjeLF7zMkUEnB/mPL2t8cRar6iWtU1u+9/+Bf78LvfOI7+PK9RzI/p7FOjEo3tOlHv7ofl//XG/C1B4/3a1inPVrtQGMnutm411NMS3O6X4FKtyZ3Njx8bAUrjRaOLdb79po2BEEw0pUnfO6Pgpj2rgMLiinjusci7C/DhgQqKaCb3bbhFUqjYqwj68moHF0KF8yTK43MzxmcRkW/EN2srzd9/zEcX25IQ7o+wgwuumJU1lFMW++TISGlHPrJqEQ9YAZ7HbTKkwKscXmhByrFDrSOLdXx4j/9Ml75F7cC0JnhIuwvw4YEKilQ7oCWjZ/WyyLcSMMU09JinIeSr7PH9jPNEu+enH+BWu3okdbDWOx0gbnR9cKorEe5Zr8ZlX4FKm3GTA163eHfWRHS23mh9fopOKPywNEl1FttPNopY+fB+CgGif2GBCopoM3KtjgWiVExA6n1HBItxnk2do1R6aszbe8B23InUKlLbrhvMO+NrgKVHrsv50HkH9Lb60Spn/6Mmc+VQVfi1Ed8s9SrfoodqFBVWL3ZRhAEUvVjQAKVFCT1WyhS1Y/JSqynRkUxKjmuw6BSP3GNSv7XWG4Io9JvmGxbN8HG+lb9uJnUPOg3o8Lv70EzS/z1R5FRabdHJ1A5zMrXm+1Au/brcb8XHRKopKCVkPopFKNi3MvrWbWy2iOj0s+hmkFjL6kfWSD6h7hGpYvyZBLTrkMn3341JaTP2S8WaD1P2qOeftCdaYs9l7nPTqPV1tatIuwvw4YEKilIYlSKFKgUQaOS54TXGJBYzKxO6Ia6X26EZZ/SXr1/MO+NvAxDmwk78zB33UL5h/QqpmWi3H4wdLxUddDBw6DSs+uF0Ur9RC0W6s22tvY028Fpb5cggUoKkhasIqV+TGp2PYdEjEoeY6KBaVRiPir5N4cVYVT6DvPeyBuo8Huk0WoPfOHuV1NC3tOoH6zKep60R93LY5Qs9DmjUm+1Y0FtAbaYoUIClRQka1TCv4vgfhp3pl2fMTVb7Shgy8Wo8NSP+3mnVhu5TkP9YJaWJVDpO8x7I6+4lM+/IFi/tEfvVT/RvdsPnYqmURlweXJzrBiVYs9lLVBptvuSwh4nSKCSgiw+KkUQXZoLyXqtK3zDyXMd6k2e+nG9dgvP+W834UV/+qXMrxvv9ZP5qQDCoGmli1SWIBm9+qjEy85HJVDpzY3XxHpqVDgDVIT0dl5wRqXoFvqHNY1KEJsvo3j9+4nysAdQdIyKRsVkJdaLUeFsR7+rfo4u1nFkcQ1HFtcQBAE8z0t93XjVT77NYa3ZVkHeepTBni4wF95eUj9A+N1MVEo9j8sFClJ7vQV4cNJ/RmX9qn6KkN7Oi1HxUWm3AxxZNBgV45B0uuvlhs6ovP3tb4fnedqfiy66aNjDUlA+KpYNL6kiaL0xrF4/fCHOU43BNy7XWLXGhRkXSnOC591ollnzSUn99A/mRpeXXTA1WIOu/KEgteeqH7ZB9oNR4fNg0LoRbY6OYKDSNIK6IjDfNpxYaWiBiFn1AxTjMDxMFIJRecITnoDPfvaz6v/lciGGBYA7VCJ2qi8SoxLXqKzP+2qpny4ZFWegYpRHljMcoGOMSs6Nhp+8JPXTP/TKqMRz9gNmExKY1Dyo95lRMTffQcKsPBk1mOvKarONmdLQz+YxcH0KEK6pJoNyumtUChERlMtl7NixY9jDsEI7wbQDlEte7HdFmMSxE886DUlL/eTRqGQoT+YLe1aGKK5RyTfBV+pRR1pJ/fQPsfLkVj4q3ry/+9k7x/ZeLXVA6adGpff0g7kedYN99x3FTK2MS86cT3zcqDMq5vVZqbcwUyvElqfhMCtNBoRRsaEQ4eU999yDXbt24dxzz8UrX/lKPPTQQ87Hrq2tYWFhQfszSGjiNYdNfRAMfyIPy0dFF9Nmf8+mxqi4XpuxGxmvrxmY9JL6EUalfzAX3l4ZlUGm5Xgpdc/lyX1nVNrWf2fFwmoDr/rQbXjNX92e871Gby7EGJWC6lRMRqXRsjAqp/laNPRAZe/evfjwhz+Mz3zmM/jABz6A+++/H8961rNw6tQp6+Ovv/56zM/Pqz+7d+8e6PiaCaLPdkIQs96IB1HDENP2V6PCF/ms+fhYr5+cC+yKaFQGAl7lBRS76odvEn0tT+6H4VuPjMpCRw9BHc+ToFXmFUCHlxfm9ekHozUIHDYCFZuYVhiVIeOaa67By172MjzpSU/C1VdfjU996lM4ceIEPvrRj1off9111+HkyZPqz/79+wc6vqSFQWsQNnRGJfy70klNDUWj0mdn2noX+pdeN7TlLlNZgmT0yqiYAcMgUz9Jh5O80FI/ffDy6FWjogVhKc/XKvNG8ERvTt+VejHns41RMefLKDJa/UThEnYbNmzA4x73ONx7773W39dqNdRqtXUbT5JvQbvH000/QWMp+R4arfWzXOZVDXmo6Cz6k75oVPKKaTVG5fReHPqJXi301zP1U++TNiMIAl1MWwBGxTRx8+Eu+ddccEeQUYmLaUeDURExbRxDZ1RMLC4u4r777sPOnTuHPRQA+sRO2gSHHfHSpKz4fuf/6/O+q7w8uUtnWtcc7KbNfIz1yrk5SHnyYNCr4VusPHmAQaSe+un+dczP2BeNSo+VOHlM3BrN4hzEuoE55uJqVEwxbbyUWjQqQ8Zv/dZv4aabbsIDDzyAW265BT/+4z+OUqmEV7ziFcMeGgB9MYj102H30rAnMr1/SaV+hsCodNk92XVa41R5Zo2KmdvNeRm08uQRXJyLCvNa9lyePMAgsl/W8Wag0veqny6uQTNDypXQGHExrfndcba0SCBGZXYiTHDYLPSHvb8MG0MPVB5++GG84hWvwIUXXoif/MmfxObNm3Hrrbdi69atwx4agGQnyHaBNCo0lPIQGZV8PirpgkWdUcm2KMdExbnFtKw8ecCmYqcTKDCtlsP7cy3nJmvOr0GWjmftQ5UGMzDpf9VPNxqV7EEYN9UbdlVjNzAPN6sFnc+kUTljwyQAqvpZH43Kl+45gtf9zVdxaGE1/cFDxNA1Kv/wD/8w7CEkIkmj0g9Pg36BFp2yHzIqw9Co5PNRSV8Eu3GmNcuTc4tpJfUzEFBgOlMr41iznrv3ihnMrlfqp5d5bYpn++5M22PqJy340IW7ozcXzEBstYCMymqjhVOr4eHozI2T+N7BU+ta9fM3+x7ADd89hB9+3Fb8zH84eyDv0Q8MnVEpOpIqAHSNynAnMi3kJRWorM/79sNHJUvVT1YKPon1ygJJ/QwG9H1PVUN74byMyHqmfvTS+e5fJ5766W+gYrs/jy3VE7UYeTQu9Qw6siLDDMSKKKYlNqVW9rFxqgogvO6m1cOg9hda75YZk1xESKCSgiTDN/7fYU9kmpTlDBqV+x5bjJXEdYu1LpoSttqBtgG4nqalfjIGQSbdm/ckolX9FJQqHkXQPCJn0Nzlyeua+nHr0vJgEKmfJEblxHIdz/yjz+On/+JW5/PzuM3qQc3ozYUYo1JAMS3pU7bO1lRa1MaoDEpMS/dkUUu3CRKopCDRR6VA1CgNhVI/rkDlxHId1/yPL+IVCYtZHuiMSrZrYKZUMhm+Zdwweu0Jo6V+RnBxLipoQVSMSo+Gb4NN/eQvi7chVvXTh+AqyUflvseWsFxv4b7HlpzP19JaaRoVTc+Sd6TDB90zk50u20XcjKniZxsLVBqtdmwtHVTqh+7RIneXBiRQSYW2MCSc1oeuUSFGpSOmda1Bj55YRb3ZxoETK315325SP+aC7bp23Vno9yqmFR+VQYAC+ekOo9KzM+1Aq36yb+ZJMIOxfhi+6WuO/nrHO26zSfd8I0PKNXqs+71GARRkTtfCQKWIqZ9jSw0AwKbpGqqlKFAx2elBpaFpHhaRbeKQQCUFzYTTlVb1M2RDJBLPpqV+ljq5yH7d+N1Y6JsplUIZvrHP02oHI1ntUETQ5j9d7S71Y36PA+31MyCNSt5GjDYkMSrHljuBSsI9ny9Q4Y/NNcxCgD4fBcdF3IzpGtfKvpH6MQ9zg/kC6DBY1NJtggQqKUhaGFoJbMt6w6z6ca1Bi2vNzu/7M95uGBWTqcgSqGTWqPTYddQUlUn6pz+g75w2jV7FtPX1Sv30VPUzCI2K21uIGJWk4DyPj4oueB+9eUBDnqoWP1AplzxUOoxKvRXENSqDYlQ6LN9yAa8NhwQqKUhK7/D/Djv1ozQqJfJRcTAqnUClX+Nd7cLwzTwNu57WTXkyTWiqfupFTAtI+qdfiFI/IQ3fasfdN5MQd6ZdJzFtXw3fBqtROaZSP+7n11P0N987uKDWiHqOCqEiQt1zHV3Uah9Sb/1Gi61XnFExUz8D16gIozLaSOz1U6DUT9vYoF3DWVKMSn+8Vvjim7XqxzxN99XwrTMGas6YO1AxThaD1EKcTqDAgk63QD5WZV01Km2+mXc/TwZhoZ90cDqWiVFxp3O+88hJPP99X8RvfeybsceOYgqU4qwip35of6n4vmJUbGLaQR2Y6p3UTxGvDYcEKilI9FEpkJi2HUv92MezuKZrMHqFJnjNuHmYtKZrEeTiw7walVo5OrnnwbJxshhkGezphMjwraR+lmfjjjvTDm6+mePqdpoMxJk2geU43tGoJN3zjYSS44ePhwL7B48udx7LDwqjF6jQukIsXhErW+j7LJUMRiVWuDEojYpU/YwFElM/RdKodO7jrIwK0B8WiNOpWaP+WOonC6OS00eFJn0v3ZMBSf30CxTETlRK6NyiuVIh/RTTttoB7nz0pHND79U0kGBW+eQNem0BfFLVDzEqrueaYzD3Pnptqo7hDOlIMioUqBRYo0LBYsX3UO2wwI1WOxZEDiJQDIJAUj/jgiTDN76ArVcTQBdU9+Q0jQoTi/abUcm6ecRTP47HdWOh3/ncVOqXtZkhwWRUxin1EwQB/v3Og3jwqNtnY1CgTa/se4rt6oVR6eV7+Zt9D+AFf/wl/O99D1h/H9dQ9Zb6IY1EnvLkd//b93DZO/4dDxzRv6skjcrx5Yb6t2v+J5Ve0+ZI4+TVeSPJqKjyZApUBjuXP/qV/fhfX/xBrufQQajks6qf1vpY6PN1WBiVEUfSCUa30C9GoFJKqfrRGJV+BCqN/ItZrDzZdfrrYqGkz1Sr5GdUgiCITdhx6vdz56ML+MX//TW86aPfXPf3psCiXIoW5FyMSh8N3yi18YjDS8h87W7PIBTEz05Uwv/nuJf+7c5DWFht4luPnNR+ntQI9ehi5Dbtuu+TypMVo9KZA1rn+CEfxLpBVJ5MYtrBbcatdoD/7xPfxu//6104sVxPf4J6XodR4VU/zagpIbGPg2Ds+fwTRmXE0UhIP/C4ZdjlexGjktyUcIlpVPoxZG6i1GoHmYSH8fyrQ6OSw/OBQIsrMSp5KGt+4iIH1XFK/ew/Fm7QDx9fXvf3putYMXLxWdHP7skUQLiC36ypyfT3CV9ndiKfd0y7Hajvymyk59KoNFptLKxGhxDX3Obl9jGWqvN/Gveoa1RaMUZlcJvx4lpT3eN5AnB6TrnkqTWr3mqr6z1R6U5rlwX8kCmMyoijlXCqaGmnm3UbkhWRRiU59bPIGJV+2P6bdHaWjT2zhX4jv/CXAsZaZzPMs8ByD5W5zil4nBgVSg2cXGmkPLL/oOtYKflqQTbFpknoZ+qH7lmnRiXj/Zn1fShQyfp5H1tcc4ocXT4qJ5b179TJqDTdjIzJqHSTei0SlJi2Gk/9tNoBbrz7cC72IwlL2rqa/VpF5ck+KhYLfQpUBhEoSupnjJCUE9Zp2OFuaMRkVPKkfvoipjVOfBmuQzflyZkZlc7irap+cnxGmqy1sq9SR+MVqISL8mqjve7CwqY6OUbXNhejEhPTdn/vUhDg7NqdsSot/X3Cazw3GQa9WT8vsSmApVzesR4dNzZc12dL6mNEr9fseNwkWTOMAuieIXaUX8sbvnsIr/2rr+APP3VXX96LHwDz3C9cTFuj8uRmoO5v6lM0CK0cPwjWm+1Cf8cSqKTA5eQYBIGWux42NcqNg4B0wzegP6kfk+bshlHJYviWV6NC6YU8iwblaaeqJVXmPU6pH356XG9WRa9uiCjurOhn92QKILIzKt29T12lfvIFKg/xQKVuMir2w9HRRT1QcaVgmwmpnxb73KtMJxE+L/0iNFtt3Pz9x7RNe5ggxmnGkvq577FFAMCBk6t9ea/FLhmVBitPrnAxLTHDlfzMcFaYa3cRq6IIEqikwHWqSPJUGQROLNfx/PfdjPffeK/19/T25EzrLE9mC1+vqR9e3qZeM8MGEtP6ZLDQz8pYRT4q3aR+wmszWSlp5kvjAp4eWO9ApcEZFRLT5qjCiHXF7uF7oRRAZo1Kj1U/Ueonf6ASZyx7Y1TqCakf/nqrjZbu0JvhGvzztx7Fqz50O/77v9+d+tj1gGJUWCNM+hyPnQqFx/0SkepFCvm1VxU/SomGvX46GpUu/aCywLwfzYrHIkEClRS0HCcQk4oedKByx/4T+N7BU/h/dzxq/X1Ww7d+Miq2hTdLYBBL/WTwfMiuUemeUVGBSrWknj9sf5x+gpevmpqGQeDew6fwg87Jlfc0UeXJPTjT9pb6Cb9n170Rr/rpMfXjYFRu/v5jeNa7Po9b7jui/Xz/sagaydw8XIcl7qECuFOeiYxKLFDJx6g8cGS58/f6l7/bQMPnJoO0Zh0+FTIp/eqovLjKA5Xsz6NrXPJ5r5+2Ej1PDJJRMYJgYVRGGC5GxdzkB536oQ3TdcI3y5Nda+tiHzUqPFChMrosDETWqopuSp+bRqCS53uhiTpVLauAb5ycaXnqp18iQhdWGy285P234KUfuKXT16fzvZT8nqp+vBz3mQt036571Y/xup//3mHsP7aCG757SPt5skbFPieOG4GKs+qHB/8OjQoQsk6xFFjKXFpYDYPfE0MQa9vQVhqVqG0DzXFiVPrlrdJtkQJv+VHVxLQdRkVV/QxAo2LMvyILaiVQSYGrHNBkLAbt3Eg3v2vjpBs+iVEJgqBritIGish9j4u+MmhUMlqUd8eohM+pphjf2cAZlXFM/RzPoFFZa7bw039xK95zw/fVz4IgwBHm0ZEFC6sNLK41cXy5gaV6U50Qy6z5Wq6qn0AXF/ZiR59e9WOmJnt7n7lOoGI2YqT72/wuHkoIVJyMipn6caZT3ekc/nprzVaMWUoL+ulzrAdblwVREBClVeh6Hu5z6mexS38qnhKtaj4qeqAykKofM1CR1M/owlWenHQaGQToxnUt0DQcU6Ny98FTeNdnvodTqw2sNtpGx+fexkQRea1cUu+b5TRhLoAuq3B+7btlVPIsGlSezDUq45T64RuiK1C5++Ap3HLfUfzdrQ+qn73vs/fgKb//Wdz8/ccyvxdnw5bXWnrVTxeMCt0j/Vi408S0sfJ543HfO7iA//Zvd+PUavKGbBq+AXrwTQH7AvsuVhstHDoVCTyz+qiYqR/XwcnFyJj/X22049chJehfWAnnz6DZuqzgjVpJlLpiMCp5guUkdF+ezFI/5biFvkr9DNjwDRBGZaShTewEcdmgNSo0DtcJ38WovP/Ge/FnX7gP//zNAzE1fq9jpkk+UfGV0VwW7YDJCtlOf7HGcF1qVLpL/ZTU5xmX1E8QBNpJ13XqpcXr1GpTaTO+3XFH/e6BhczvxzeApXqT+ah4XTnTmiLpQaZ+Yven8bg/+fy9+NMb78VnvnMw0/tQ6gfQ7+uGhVF55MSKlrZNZlSi14oFKhmcaWO+UOz11gyNCpA+lyjgOrnSKERvIFpXSp6HLTM1AMDhhTUsrjUVe9oti7D/2DLe+snvqHYUi5qRZvbPrronM8O3RitQQewgGRUzSBNGZUTRbgcaA5FkXz3oQIWMmlyBgBLTlvRAhViCgwurmqEZ0PuYKb9bK+djINJOrEA8UMnMqBg+Kt2KaQfNqHz86w/jx/7ki+vmEntqraldQxejQte93mqzoCV8LBcMpmHVYFQUxe1zw7f8jEo/Uj8UkGbph2N7HN+Qk0Cfb6patjZipICIB4087QNYAhXetoONM7uPinsN0xiVZit2HdLWC9KotIMw0B02aLy+D5y5cRIAsP/4smJTgLAMuxux9Ee+sh9/s+9B/O99IfO4uBZ9h/nKk4lRiQzfgOh7F41KCAlUEpBEjZr34sADFdKoOBboeNWPPq6ji2txRqVnMW3HIK3iqwCpkSn1k04pm9F+1utLr9VN9+T1LE/+2FcfxnceWcDn7jo8kNc3cWJJ31Rdgkd+3WnjIUo/jz+GyagQI1gte10ZvilGpS+pn3xiWvP+pOfzdhT294nmh60RI+lFeMDzcCdQUSZlZurHoVE5bny/WRiVuI+KnvpJY5ZM8BSWGTgl4a4DC/jHrz3cdXWVC7zAYPemKQDh9T28EKXWWu0gEwtsgoL3ox0mi98LefaCqDw5YlTCsYd/u2wWPnfXIfzOJ77dU+rKrPoRRmVEkcSauFwd1e/bAR51ND37b/92N170p1+KMRxJoNNNvWU/AdDbl9nNHgSBGtfRxXpsYe059dM5NU+US6j42RmI+EnN8trdMipGiiDPZ1yxpH4GFajQQv7oSfs9Mqj3I6QxKkB0KqZFOc8pWdOo1JuRRsX3US11UZ4c5Ev9NFtt/OPXHtYqaNTYlDOt/TUa5lw2biFa4JcbyddjTTGO9kaMttQPMSoXbJ8FEC8ZbTkYkaNLutjZdXmSAhXTRyV+UEu+5vxz5Kn8ecv//Sbe/LFv4s5Hs6cWs4DGX/I87N4YBioPHVvGY4YwvJsSZVorSI9zarV/YloOV6+fd//b3fjbWx/CV+4/nm/gDMKojAnMiZlk+GYGLv/t3+/G09/5edxkESB+/OsP41sPn8R3c0xMvsDYTgCmRiUcE2NUltY0wZftM+TFqoVRyWLElcVCP36ay7aptXoJVFTqp6wCvkE505Km4NET2Z0xm602fuxPvohf/t9fy/1+5sZx0nHiXbMEKtTsjtPbaeCL/9JapHcod9mU0Ez9mJVjJr507xG8+WPfxO/983e1nzdbkVW4Mz3STGYSVB+elBMoF5vbKp3omqw1o5YGFKhcuH0mfI8Mhm8r9ZZKtU2mNLHTnLYTvKBWGq34GpdwyZuttmYmSYHxJ+94BO/+t+8lsiWHFtY6f/fHJRbQncN938NZHUZl//EVHF4wApUuNuiVzvWmedVtV3q+bvu+p63fQGT4ZgaNUXl198GFOf/ER2VEkXTiiDdJ0/9/z+HQ6OqeQ6dir7tsafqVBrNTqgnTR4V+FqV+6v0X07ITY7nDqJinURuypH7Ma5P18E2BUndVP5xRGVzqJwgCtZAfcLBuNjx6YhXfeWQBn7nzIE7mLAGlkx8FcO7UDw9UGmi1A3Xf5Er9MEZlaY2Laf2uypOjbrLZ7jPSfRwwGCv++ZybeTv5/qQFPc3Js96M5oet0on/m9gIMnt7XIdRiVvox8dPpcnVko+5ybJ1zOo9uZg2YX2z6ZGSGJUF4/F0f779/92J9994H+7trIc2LCrmrn+6Fv7dln0Puzd1NCo2RqWef47T90Kfc6neXdUPD+ABqHWHEFX96N87fee9uIvHGBVJ/YwmkspokxTzQHQT2ASDdEPkob6bGqPiDlR4RB4wRuXIYpxR6bYrLGFVVf1EqZIsjAoJg+k5tg0jHqi4Xzc8Pemn5O5SP1F5cjXH58mLpXokLs3Ta4Sfrr93MB9NToZgZ28OT5ZZUj8LK01tw8ojpuX3/eJaU6VPKn0qTzbnwMnlhrYZ2tIq5rjcVT/JTEIWRiVsLxExjjYWiX+GkysNBEGgUlWPU6kfdwqUNin6bjdOV1Dykp2pXb3Lwv/r3xlB9Q9L+LoWjOt8fLmOlXpLuSEvOa5Vs9VW93VauXcecLbI96PUz+FTa7F0YDepHwpWKeDXnWnzH0DpGlfL+pY8WY0zZMeW6ootMu/VPDAPCsvCqIwmkhiVmJjWWBjqnZvApNPa7ag/Tp6FmgdNtufR3ChrgqxIo7Kw2oydonstedMYlRypElqgidbMkvpxjTUIArzsg/vwkj+7Be129Hm7EdOusKqfsrKz7n/qh7uIHlxYzRxMrWqBSpypS2J/aMM4Z/M0AHcJad1gVBbY5nEqB6PCx8qDhdBCv/vuyROO1M8v/M1X8KPvvUnpwuiamswTX5ydXiMpjB99tqUEjVmTVQzWyiVrI0Z+b51caeDUWlNd4ws6qZ96qx07TZv/pjTipukafN8d/AP6PZJULMDZjQkl6HR/X2ZAeGK5oaVyXN81182ZrEwv4EMteR42TFVUc8JvPHRCe2w3TALXqLQZ6wjk86fipnT8b4It9cP1SL0cpIRRGRMkUcBJQQzgZlT4qTgXo9LmC1z8eS1L6icI9DGbJ4levQ5UDr7Cuw1n16hQBYdt/TMb1rkW3mNLdXz1weP45v4TOLHSiHxUSvmbea1X6od7XrTageo7koakQOWBI0u49Pf+Hdc72tbTRkKMShDYqXZ+b51abeqBSpeMCt/EKr5dWJoG+h5dqZ8Hjy4jCCKGiubjqbWm0cMmnVFJs9CncSelfvhnq5V9da/z+7rOgqYTyw2lnZitlbFxqhqN2cECNWOBSiW1e3qyj0o8UPE8qLLZJAZ2YdUMVOo4yAIVV5rv1Fp391ca+HdW8j14nqdKlB8x0q1daVTqVOIOLNabXVvo814/QMQEA+G1t6WweafsXuwT1gxdk2hURhRJOpTYJDduGLoJzC+fByp5NkH+3jbWglIflE6hMfLnmR4NvfuodKjtsh/5juQoT64lsB71VrYKpaNs01+uN+OMSo9VP4NI/ZgVOFkFtUmpn689eBzL9RZuf+BY4ntum51Qpa+29A/fSE+tNrTNI5+PSp8ZFZXSi1I/XKBJAZZNKMvTEnzDzGqhbwpBs6R+eOlnreyjZmFUGgajQgHr1rkaamVf9TXi76MxKp3nk/5ow2RVpX7cVT/8sKX/TmdUwmtW8SP9WRIDG2NUVnRGxdUpm2/wfU39sLH6nWtCgloCHa5oXn3xnsfwJ5+7J1OZNL+/jy3WtaC1u/JkYlSi9bvi+yqA4fckb2eRxQ7CBZoLG6ZC52Sp+hlRxDQqSYZvZuqn5QhU2A3dz9QPjafk66kfPs4Hj+qBSs+pH81CP7szbdTHwt3hOK5Rsb/uEWbexBe9bron03czwXxUBpL6MQIVU/DpAmcDvn/wlPbZiA52Bb+U+tkwVcH8ZLgwnViJV/7wAHFhtalt8iuNVubAjTMK3NCM9/qJpfcSXjsS04aBCtdfAdH9QoGyy9yOb5iueypecRb9u8GqhpLsBejzV0s+PM9e6WRqVKiSY9tsDZ7nqZMuXzNsjErEUEbBTZbUT9Jhi+ZSpeSBshFJp3fy2iEcX27gINNfudhjHvz2k1Hhc4M2+91GoHJGh2GhefX2/3cn/vsN38e3Hj6Z+vp8UzdtKLorT45rVMqlqAqIv+aRPjEq9J3QeiCpnxFFPL2TjTYFomjVFMNpqZ9cVT9pYtrw74pZnszGaVKeSVTuR7+6H5/69oHEMVEQNlFhp648GpWKW6OS1UeFK/j5YlktpZ8CTUSpnzJzph1E6kc/Obr8dkzoJmotPHw8eh7RwY2m/fPSqXvjVDUKVCyVQ6aPirl5pJmcEWyMSqUUUvCUluNBw3tv+D4ue8cNuPdwXHsDxMuTAT0ojrxRiFFhgZLGqKQHKknOtPz5iYwKq/jhf/Pv0Kz6odTPttkJANFn5WuGreqHVxdF3dPTP1tS+poClXIpmttJ6wV9x3Q6P7FcV2XHgDv1MyhGhX8WWhJ3dwITIAxeds5PaGOjYD7NcRjQv5OHewhUaF2ngIRrVMq+FzEq7Hs/yhmVXjQqnfknjMqII8lHxWTczA2xrjQqbkYlT47etihz2MqTA4NRyWr7f3ypjmv/8Vv4zX+4IzGY4oyKSpV0lfqJPyYzo8JOF3yhI/fTPJVNtGjO1AZr+GY2bcuc+jE2Rp7+oevgooIpKNk4XVELkzX1w6t+DDEtoGsKkqC9Tud9aMNTmza7tl++9wgW15r4ziP2aia6R4iFA6LPyr1RmsbfgMGo8NRPBh0HoJ/OeQCWVCXBK34AWBkVzjKcXK6roHvbbNiXZsIaqETvEXVUp7Svr9Icts8WBIH2nuaaxYMgClArJR9E0iYF/XSfnN1hLUwxbbbUTx8Zlc7n9z3A8+KMyubpKqarobiW5hWNJcuGzefiI8f1QCVXU0Jm+AbojEqlxPypHBqVXnyeaI5umAz1UMKojCiSel2YC4GZYqCbIIlRyXOTZS5PLumMSlLg4Nr8H1tcQxCEC2mSCZNajHNX/eh6A1t6xgzG3IGKI/VTyqdRabbaakPbNF1jYtr+p34i8WO4QGRP/ZiBSsQ+pKd+wvecn2SMiiVQMat+zM0jq5eKjVEx6W2u46DyVdf3RZsoFxtS5Y+2+Xa+r1bLEag04o81QdfQVjnG78vlBHZpjfXB4q9lc6alMZK1+9ZOoDJpsdFvaaxuOHe4R00poerH5p7t+j1979WSFzEqGTQqZ3Wqyo4bYtr1Tv1ERmrR/cI1KtvmapioRiLSRqut7v20DZtXbgLQmE0g3+GokcSosGvv0qj0VvUTfs6N08KojDSSyvdSq35cYtouNSpphm/0o5hGJWGjTWJUCEk+HxSETVRKKuWUyUdFpX7crEfWpoScBuXlja4eGS7Qpu15Yc62PEBGhYKGJ+yaA5DdS2XVuCZ380AlIfXTbLXVJrBxqqJOUDZ3WjP1Y/pjZBXU2qp+aBGeroUbBBcgksePi+VQG0/JZxVmeuojfFyKRiVD6icKpOn+ZJ/LqNpz3e9m6sfWiDEupu0wKnOdQMVSjRFjQYKo0y4PVGxzKnbwMtuAtHigQsGlr1IniYzKis6onFptainNYYlp2XKIMzdGgcrWmZoq/V1ptDWPqTQjP9N35ZEThvYvx+Emuq/jVT9l37drVNj6nMVg0wW6F+cmJVAZacQtpFnqJ0WjosS0ieXJ2W8MzX/BEuBQTrrkeUpQFwT2hZ+qPlybAhd7Jp32+WJsoyhdqLOUEeAwfMtooe9K/dCmmFVMS8HZhsmwxHM9ypMv7gQqWTUqFOTSyZCnfihgs42XMyfzkxXMJ6V+EsqT6WdZYNtcadGd7vhZ6JtDJ1BxMipRatP8bvh8oPdyVf3wcbnuf2IhlYbKUd4MuNM/dFolJsVsxNhq62nZEzxQSdSoxNedOmOAvISqn1jrioRU8JoKfnIyKoy14AG4szy5D4zK/7z5Plz/ab0sv83WQ8JktYQtM2EQuG12ApPV8HOtNlpawJS2YZuMi8moZGVxgyBqiFiyMCqhkDlZo9ITo0Ialc7BZVVSP6MJM22iGb4lTHKeM0/qUJmLUUlJ/agThBeV45kaFQJR/05GhYksk/QT9NnCXj/ZN/Y8jIqykM6Q+iExLRehZTV8O6rcPcNJ240YNytIL/KEXfMAwmAri508neQu3b0BAHD/kSWsNloIgkCdsmwUO2li5ibCHkZJYtqk8mQgu+mbTUelGJWONoAbptFGkRqoeF6M7bKxJPx745qgNEaFbx41i39IkuaMQwXjnWDDbMQYc9ZlqR+lUbGkfszTepOlfqolD5T5tTMqySylLU0calTSDyHEZm6armK2E4hyuNY6HiAs1puxdfWTdzyCT97xiPN9gbBB35/f9APNjyhiVPTeOWSlv3U2YlRWGy1NJL6S0izWDGRMRjTrmsEfZitPLjONCn2eIAj08uQeAhW6F0VMO+JIUv8nNfTii6G5YC93rVGJHmsrmVXiMd9TVG2oUYk/dm4iOVA5tpSNUSG2KOyeHK/3dyEqT6aqn/hjaGGb6mxqWcqTiVEp+V5sgqeBGJVNHaMten6eYDIr6Pqeu2VaBWIHM6R/KIg4a9MkNk1X0Q6Aew8vYnGtGZXnWq5/JKQNP1uSmJYHOgsWRqWb1A+BFmFiVFYbbRXUE1PhDFQ6Py75ngoi6T7SbPFJo8I2XZeY1nYa5fPF1oYhxqg4ApVY6kfpcuK6GgB4bGFNbfYRoxI+J5FRaQWoq5YULPVjuY7mepNFXF9hqbakoJ9Yq7nJCjZ0NA8crsIBfj8FQRisqNdcbeBNH/0mfutj33SakbXaUWDJe/bYigsA4PE7Qxbz3K3TSgOUl1GJdbQ2mfeMhyMeZET6raiqLTxw6QemZdaAMnyNHlI/nc+xoXNwSUt5DRMSqCQg0fDNmHeacyyblOZNvdpt1Q8bi9VCv/Nr3/MU/Wv6qBDSGpfxE2huRqWbqh+rmDYyX3M9Jjxd8NQPY1S8fIEKNfmizXxQqR/ekHDjdBW75u1umTbQvTRZKWHPllC0+ODRZaMKID5e5aHSWZCSxbT6pkglpvScrB2UbRtL2dCoAKGIlvuRpIlpbakfm4lbFo2K7a349VNib65RMfujOE7fXGjO/6Z0rzmHiamqlqPGglk0Ks12WxPTJlX9pDUDtR1qyiz9kKR3o0BlfjLSQHE4AxWDoeMM3iPHV1Qg4mKu+GfiqXSl2fP0QOXaqy/C/3rVU/DCS3epg9JqTo3KSkoTw6waFX69yzbDNxYk0mvyuR6+Ri9iWmJUqur/vbqVDwoSqCQgXr6XxKhE/15LCFS69lHJWPVT8sEYFUeg0mFUXBOKp34OLmRjVJRGpStGxZ36SQpUFlabhuV7xKj4SlTo9pTgMBmVSg7NTRZQZQFvSLhpqopdG8JA5UCGEmW6dyYqJeUJsf/4st77ox3EFhsKjGhBisS0yeXJQKSfIc+JXhgVWnR5OfvSWlOj3V3BM9eomKkfzURNlSw7AhXNQj8+Rn5CtZW4xxhSF6PiqPqhsboC4K0zNXXQSKv6Cf8fqNeslpOrfmKtATIyKqWU1E8QBOoaz02WFWPH4QpUzFQi15lxNtfVOJCPyZbWM1M/81MVXHXxdlRKvlb+zQOVtKqfNMYla1NCHvhZxbSaRiV8rNn5uScLfRWoRN9XNw0a1wMSqCQgtiiwBSupezI/dSUtbPm6JyczKjQxPc9jGpX44uJ5EfXu2hS0qp+MjIrSdOTQqNg0AAS6NpOd1I9tkTxqTFrFqLCTCJCNVSETNpNR6Ufq5+DJVVzxX2/AGz9yh7q2ExUfk9WSCgCylCiv8kClI1rcf2xZY5WAOKsVmb2FC1Ji6sdxv57RCagya1QsizkXCnJBLdequDZD+khpqR87oxK9vt6UMP4+fDOn9+H3p3nwSE39VEzDt06g0knX8HYNQFTxA9h9VGyViJFGJbnqJy31Y7v2XNDpWi9WGi313PnJigqIOZyGbwli7UfY2mOm3NSYHUUGXNPkAqVdc4tpO78300rqvbOmftgNaCtPrvg+6zAfPtZc83rzUQk/B1X9AMX1UpFAJQFJEzvJg8BM/QSOhc7sAJs4lhRnWnqLEgtU2kF0ulb6gGo5Vb/Bq36OLtWd+WFevUPUZZZyORWoVNxsCS3olKe3PcbcoBcsjAqQbeGgz7ypk1+v9FFM+5UHjmGp3sK/33lIeUtQ07mdnQDgy/ceTRXU8nJwalu///hKjA4279uTjJbnf1st9B33JDE//dCoAJGgdnGtqZ1mnW6xnfvf91KqfmwaFYeY1sao0PM1Qbbj1A64hZcq9VMyUj+G90u1HImbgUhIC+Sv+qmUvcSqn64ZFS+ZUVE+OX5o+7+RndDJKyh76ocL+Rmj4liDXK1FbE1aTUw6GJX01E/4++3suwKgqi2zrhmcJaTvrVoyGRV9HeK9zYDuU9Ntpu2ZKPsqaCuqoFYClQQkTeQkAZWZB+eTaaUfjEpi1Y8Hj/2MbnAS6E3XSqkLz3EjJeASemoW+jma+MUYFctTsohpjzgYlZLnaSepbIxKZDEPRJtqPzQq1Ayy3mpj331Htff50cdvR6XkYd8PjuK1f/WVRC+JFXa9z+xULzx8bDl2yjK/gzUW4ABQ5cmrjXZsA3BtKBSodFOeTCizRXhGMSp6xUWamLackvpJ06jwcdnSgjbzNP4QkylKTf04nGnp70rJ1060NE+BKO2ZrFExDN8Sqn7SukLbAreyH81tl36Bqu3mJyvwPE9poYCoXNlZ9dO5n6hSiN9fWQIVV1d5HgS4MME6Wi+x7zGtizD9fsf8hPZz+gxJWh4O+j44+1vRUj9xHxVePAB0r1Hh16pWKRW+g7IEKglIMnyLCdESLO553m+5S41Kw0FxmuPx/Siy52Mkt8vpWjmxMgCI2AV63KOOtITVQj9lkvLyzyy9fpI0Ks5AhZ2GXc81QZ9584whpu1D6ufBo0vq31+4+zCA6KR5yZnz+KvXPA3T1RJuue8o3viRbzpfhzbJiXLEqDx8fCWWtzYDWX56B8IFle4RM/Cge2uGlZh6HrC9k5LI6kybyqh0BLVZGRW7mDae+rH5qIS6oHbssbb3U5tHibMTXWhUDK8g05mWp2tcjMqEpSlh3BYhclSt5qz6ib2WZe5WyxFDm8aoUMDFUz8UqKRpVHZuCDd9btp4IFPqx86ouKp+ODiLsJiHUenMw03TVY0BoQNAVkaFs3eEqpb6iWtUlI1C5726Tf1wrVat7KtApaiVPxKoJMDUqPCJbR609cXMOKWym2JQzrRRb4so7cFvYloAZ1igYkuJtNqRMO78rTMAdEZlpd7Cmz/6TfzFzT9QE7ZW9jOnfviYaCG2jcMU09pODnS6MDdRLkID7IyNCZNRyZPKSgPvWv2N/ScA6AK2Z16wBf/zVU8BANx2/1Hn69BiTdqWku+h3mrjrgN6fxxz8eIbGRDqmCqKUrYHNVtmos1mtlZWAuysGhU6mfFNmNuZuzQqbjFt+LeuUaE0Slxsam4WVJWS1uySrl3VwU7EA5WsVT8dHxUjUKmUdAZiK0/9VPXUTxAEDkalk94tJ1f9pPuoxJ/D3VHdjIoZqMQZFZtmKQgCNWd3zhNjF7FfvBLOJfLka6FVTOuOU1jVT3epn8lqWQUnQHSvZy1PVkaILDhxdU+m744OZzs616tbwze6P32vk7KzCLeLBAlUEmC6BiYyKgmnLk6n8X/nS/1wjUp8ItDbl/zoBMQn8fa58MQyVS0lVgacXGkoqvtii8X7jXcfxj9+/WH8wafuUhN6osIZleTPpJd/uh0vaUGfTNCxkMnZWUb79pKvp36y0KNm/51quf+pHyBKI9D7EC7YHgaFi2tx0yvCipZq85UQ99uPnNQeZ7JAvCqEoO5pR1CzeSbaMGcnKpiZ6GhKMtqc0xzgn9OmUVmqN7WNwS2mjeZixfhu9EqeDqPi0OmYG2YSo8K1XoTcYlrTQt9IV8U0KnNxjQq9Bx+qahHRcohpbXMqpTzZpVFJM3xTjErnHtnIGZXNU9b3ps9FQ9jVYVSI4Wu1A61XkC3QMcekMSo5Uj+rTZ1RSUt/0DycrPhakEnfY2ZGxejzA5gaFS6ODj+TClQ690m3GjrO+HmeFwuKiwYJVBJAE9dWnWJOcv5/kynhDAs/geVL/bhfn481dKal50SP44yKn+AxQhv27ERZlcDyXPE9hxZjz5mslDI3JeQbo62XCsGs+rGdEIlR2W0EKuWOmJZilTQx7WqjpTYDs+qnl/I/eu2DlsaOG43KCGIsTNMr87WA6HRO6R+TFjeDq7VWPFCx9RABont1Mwsw5iYrKhWUJfXDnZm5sNJW9WOmflxBGhfTKraLev1YmhKaC/gJB6Ni3huaJwnbJAhxMW2yRqUaM3xraWOuxFI/ke7B1A3wgJt7EPGgJ2luJzVZDV/fFqh4qYZvJGKfNxiVWtlX646t1w/dSyXfw9ZZClTC1zp8ajXRaI/gSom3GMPsghLT1k0fleR7nPsZbbAwKlk1Kir1o3mnsH/7nsa2tIJACeeJUem2KtHs7l10jUrc61ig0GSBynK9pU30JDO4OKPCUj/s37kYFYdojMBTP55iVKIxXXXxdnzym4/ihZfuwrcfDk/gtoUnKmWtqsnAGZV7HwsDlV/6oXOx1myjVvExP1WJKMoU9oKPvcoW29jjTI2KZfLT6SLOqISvW/I8NB1eMhykTyn7nhLE0QKR5zuy4eHjKwgCYLpawsbpquoLstHwmpiolFAt+ah3GghS4MKhFsjONdm9aRL7fhB/z5hGxcaoWHxieCXAllnOqJQxqxiV9ECF97faNB29ji6m7bAFay00Su55pcYW0Gtk7fWjXwPFqBgpBPO+UmkU1oxP3zCzMSr0HVBQGRm+Ueonep95FrRqGhXjlMvHUauUgNUmmrzqxxFcRZ/N1OfA+L+dUYkM3+xzwdSoPG77LM7cOIknn7VRfX5bRRuxJzO1smJj6Gdm/yunmJavu12LaU0L/Wypn4lqCfPM3I7+nbU8OeqBxVM/zJnWYrNAGhViU7tlVFaVz0/43rZSeMKp1QbabWCqVtIOG+sJCVQSELWWLwFoWKt+aHPRNCqxSgpH6scSDX/gC/ehVvbxc8/co/08jVGhk6jveVZG5cLts/jsm34YAPDdR0NNg23zp4qfjVMVJXDji8a9h8NA5annbMJVF29XP8/KQGT1fDCdaW0TksqTz94cZ1SAjtlTOz1QOcb6/FCQl1b1s9Zs4VsPn8STd2/QNmATDx0LhbS7N03h/G0zUaAyHfeamJss48hiHQsrDeVbwqEM9io6o0Koln3Um21nOkejlS2MCg9wtrDUz9xEBbOdwGmp3kKrHSRuAPz+1xgV9hzOqPAAyrXwckaF0nKUZtS1CckaFfNkTo974MgSmu2oG7LLP4SYgdmJMk6tNt2BihEcugzfeOrH9/SU26QhpnXZ+3O9S1LVT1qjzyYTLNN9kcXwjVf9AOF3e/NbngPf9/D1h45b3xuIGJWZWhQIR4GKzkJmqvrJKabl5cnd+Kg4GZXM5clRmpFQMf7Nx7/WaKtD1Y5OKt/aBqLVRjvQDyZBEKi1DYgL7JPEtH/4qbvw97fvx5t/9HH4tedekOmz9RuS+kmAak5GXh5s8tM/lSFPYF/wAX1x5LSiuQkeXljFH33me/j9f/1uLBjhj7WLacO/bRoV39MdGv0EKvc427TJ3p1SF612gB90GJXzt81oz1O9cTJqVMJF1R2oKI1Khqofc8OmyR2JABOHhOMds7dN7GRLYtMgsL/3X9z8A7zsg/vw97c/lPjaJKQ9e/MULus0EwTiGhUAKhiwlQBzin+is7iYKS8SFZv3R6JGRTMq5IEKS/1MlDXb+7T0zyp7P9K2APqCrIlp19LFtDTMsh+lfqjnVVrVD8AZlbhOo90O8NIP3IIX/+mXVRqjUoo6EfN0FAXQlLpbadivBWc5AHd5Mq/62TxT0zamiI4PH9uypE1DC/3o0ORbAlB1bczUj/EQes50Nfqusxi+RRqVaNOmcSijO1vqh0qTJ8rs3g9fK8aoOFIcrgMcfdak1A9veMo7bDeY7scGLVBhaTtqfZCV5aCxaxoVLT2rMypHltbUvkOiazPVHgQBXvJnX8bz3nuTCmJu/cFRXPaOG/CJb0TNHU3n5KkEMa1Zaj8MSKCSAM6a8P8D0SZvS1+Yk5KfBpKqfu4/Ep6+20H8huGLjLV7cmc8ngflo2KKgQlJKv7jLPVDjMqJ5QZW6i08cnwFa802qmXfogvJ5kyrApVy8qIar/rRH7PMRJhm6oc+X+QXkzymqM8PO/2zBcN2vb938BQA4NGUZoJRoDKtBSqmRgWIxIgLFsdYzsrx1E/0ehW1sbnKk2vGIggYjIqWstE1KrVySd3raYGKciwu+0o0Czh8VDKKaTmVn6fXj9kp2kxBUOrk6FIdS/UWHuh8X2VmdMb3AgoaiBHjKQMOMziMUiCdQIUF7BQU7jJ8OUyBI782FbYmaRb6eXr9ODQqvDQ9i+EbBXe0UXOYjrwc1DfKzqjkT/3kL0+OAjLT6iCJVeEpWGJUyr6n7vWsFvpReTJL/cQM36Lx0z08XS1pgSpHvdXGdx5ZwANHlxVTvO++ozi50sCX7z2iHmdWpU1aPHvU521GRRPDggQqCVAaFYs7KqdGw8e6NSR67x87VQno1SFLhqDLRXESAjYxPYNRMSdrki/CMRaozNbK6nT16MkV3PtYuDmfu2U69ppZe+PwTq9RVYXlcSSmrXTs/o0HkaisVva1NAUQfV7SYaSVCx43Kn745wHsgcrhTrO+NJ8V+k7P2jSFJ+yaV6+71XC1BCJGhRb+djvA/s7z+X0zUY6nfjbP1GIiU0IyoxJnAqtlXzsd0yZC+p00nQp30J1iTAxfhKPUj067u8W00QnZTP3YNSrh3yQKjqp+4ps1vwYPH1/ujDXaJLgpHC3wmzobVFqzPPq+TWdaLtp9xvlb8Gs/cj5+58cu1l7DTP3QZyqzYM3UqCT6qBg/M5226WNO13QWLM3wjVgQm67KLMvWn9dJ/WiMSvgzss+PbO4djIq27vKANfw7KVCplX0luF8w7ukkncoKq3YkzxjuT5U19dO0pH74HCVWj173ZMdJemairA5S5lznew0FW6uWQNesSkvSqKwZepZhQAKVBDTVSTSefqDNjxYMHti6GJVmq60FMWstd6DCT5ncJA2IKG8O7kxLAbotYgeQSOWeWIo0Kp7n4YxO5c99hxeVPuU8I+0DIHPVj1qgfQ+0b2UxfDMDIDI52zJTg+97akELx6IzKml6WNNDJRwfZ1Ti4zt0alX7PC6Q2dvZm6cwWS3hv//kZXjbCy9W5eIcdCKlxfo9N3wfz3rXjbjhu4fUAsLp/a2zNbV4bJ6uRouXqzy5pLeQB0wmMLJ9n2UpG9qAVIlySgdlflrjp3NOY5OYdmmtmal7Mt0jobeEnvrRKf+29vcmM1Cx+KhwFnD/sZXOWKNNzFZ9QvfKsiv1Y5YnK2ahpf2+WvZRKfl48/MuxFPP2aS9Bt88Qg+V6ODBy8t50JNood95T9t3z+fXtMGopBm+EavE03yEGvvcpguwTaNCQTr1vtqzJVxrMolp2bqrLPQTUj+e56mg30RioGLRqMzUys5KOhdshm8Vi46MvmtiVPh7xSr8GvFAhf7W9h7DkJCC4oMn13Dt//0WPvSl+9VjhVEpOMzyZBujYqPgTHqZFjczWm202trk5cZgesdU/ca3neLpIb5n16hwJEX+URokXIivPHczAODf7jykAhUyguOo+Pop1wUt9ZNQSpnmTPtQ51qRLoOnGKjqJ/J/SB5T1OcnClR8thmYi0EQBBGjkrAotdsB9nfEs2dvmgYAvOjSXXjtM/ZYH08BAaV+7nw0rM763oGFqDSZBWSe5+HMTiC5ZaaGasn+eU3hHGD3UVEpooqvTrhAxKjMWGzObdAYFUfqh2tUFh0W+v/3aw/jjo5BHg/E46mfOKNCf8cDFdNHpW1lVCosjaKXJ+tl7GlVP1XjxNoOwnFzUbkLk0wrstZsa4wKbVT1ZlsxIaFAHZ33cad+bEaLLS1Q0TUqaYZvPOAwQZ+/HcQDHV2jEomr2+1ApX7O3TLd+fzphm98I87iowJAO+AAyaJSAlVuTlZK6sCxZaaaKjo2kW74Fv67YgYqExVn8QK/TrSH0Gfh+8aasZ7Q5/7Hrz+Mj3x1P9772e+zxwqjUmjQjVRVwQhnVKD9zpXrB6LTgBmomN2NH9QYFXdH2ZhxE/t96KOilyebVSlJE4qXJwPAf7xkJwDghu8eVLoMU0jL3yNtkurln/YFMAiYcLRid6a97f5jAIArzt4IQF/UiUnNKqY1zd7UZ3IEKqfWmuq7TEr9HDq1inqzjZLvKUOrJKg8fWfhP9ZZmBZWG5p3AwdphTbPVKOOzzlSP7b7tlrylV4GiMpO+WaSBM6omMJMAq/6WeYW+p3N897Di/itj30Tb/nYN7VxaoZvhjCVP06lfmaSGZVWW1/sqSqr4rsM34hRSU798F4+gP69Lddb2jxwYYJ9XyudaitAD6L5OlHVgqv4PKS5OWFJZfP5xYP+LIZvvMzYRI0xFua6yAMc7iN0ZGlNVR+euzUMVHL7qLBrlQSTJaD7xSWSBoBV5UxbwhVnbcTv/tjF+L0XPzG12asJm+Gb3j3ZYFQ69/BsLWosa66LWuqnru87tjSvqVExnwtEjEpNGJViIs6oxCN2LmojmIsh/Z++fD53+OR6iPWE4RG9uVHGRHFsUSoxozOXRqXkCBAAVp7cEZY+5ZxN2Dpbw8JqE9/q+K+cZ2FUzEZxLtiavpnD4KkW2tDaga4VIKv5vXtCxmeKByrEqCQICzlcgUrVkc4iNoV/HhuIITtjw2RiCTPBZFSOLYXvc3IlClTMhfXC7bMAQg2Mqz9R3XJ6ty10PKDhjfIiRiX8WZpGZY0FmVNa6ocxKtWIUbGJaSkFQPejps8wOsryU6TJqGzu+LicXG6gzYSn3PfHZsOueZLYqn6yMip0Kmaal9VGyxo8miiXfPX8lUZLZ1RK0WsRKiUvk0Cdgoe2g1HR0nW8MZ5jHnFRrAn++cx18ZQKVCqolX0VyH7/YMjcztbKSsuVV0wbpX6sT1PgAeRUtaTuy5W6e16vsLno+x5+/pl7cNnuDYkMcdLYNY1KKc6o0N/UBTxM/eiaJ4It9UOBlXafK0PC8POfszkMCInB4s0uhVEpOGJUqaXqxyYijad+9MiWO1HSjbaw2tC6FmuLt+OEbI4FCE8QZurHzNNGvX4Qw3FDr1HyPTz/CTvU7z0vOuVwqM0js4+K5wwkOGPEAxC6/ocXVvGDx5bgecBT94R5/clqXAsRsQbJwZNNowJElT9mOuswc5pNSv08xEqTs8CsfKCy6TBQoXtRn7K/+pzz8T9+6jL89N6znN4vdkbFHWDXyiVt46AAKiujEjnoGoxKmTMqpFGxi2lbRhDCT8gRc2RhVFr683nqx3Zf8Q7jHKGFfuc1Lb1+qJTd5WLKU5xAmKbj4lizfNkFXvlD4yz5vvr+aE3xPL11hLXXT1u/h/hc5ddAF0B70b1imduNVlvdm7MWjUqJpanMdXGRiWk9z1PpRkp57towqTQkWXxU1rpI/XCWYLpWVtc7yZ12xcFulo0AOg12wzcuptXXMWIFp2tlFdCY76WlfkyNCk/9GBqq5z5+Gz79G8/CP/3qM9Rj6JqLRqXgSCxPNtJCNgqd4gP6oolRmZkox0zZHmL6FMDwW3FoDgh8TdIN3+yT1bWBt9uBohf5pk3pHyCsNLHdsC4q0oRuUR69LwefUJySpElJaZ+Ld86poG+KjYmqfSJxW+KQrBoV/nzzeh9mrdaTUj+kdzBLuV0gFmNhtYE11n+EMyrm4jg/WcGLLzsDU9VyTLtBMIWd/LPZeqVUy6Eo8+zN0yj7HnZ1zOfoxGxWSJjgiyDXqHCBMr1W6MQbBeiqvNjwSKGNt2xL/XALfcWohD/jqR9+2iSmrmWIaQlVB+NHmzJVe7g8N2wmezzooLHz4M0GHtzYNCp0oCEhrY0FIihfqARGpezrAtOyH+lebBsw98CZtjAq4fvZT/9LilEJ348Cnb+77SEAwKW755WGwp36sTMqvEosCZMV/Z6cTKh+IfDUD0fuqp+WLfUT/Zt+Tn/TQXZ2gqV+kqp+ElI/Znmy53l4/M45Ldika14ERkWcaRMQK0/WDN/SUz9zExVtgVRdNyuhJ8Vqo60e+6ARqPCJYt6McStslvqxiGnLJVegor/uqdWm+hl3XHzank3YMlPFkcW6VZ8CcCfX5ElaZ7l5Vz6d0/N8c2upQEVP+wC6AFBzpkVy8BQEgWIuTLfYiiP1c4gzKglREDVN3DoTL0W2ISpPbirhHBA6fyrL64RTjWu8SWJa231Lj/ubn3saji/XFf0+k9FGf41R49r3YtGoAHogYGpMQrFo5C7se17sNKk3JewENp1rQNd+pdFSJ9KS7xnOri5GxZ364UHtcr2F+Ul9EbcFh1yomUVMC+j+FpQC4FU/qoN5SU932vbKSPdl06hEhxp+EKmUI/bGpnsh9m+i4jvZoVqlhKV6KzH1A0SBClU/vvrp5yjNkKt7Mg8y8/qohOPmjErJaXz2J5+7BxOVEl73Q+c6GZX85cmW1I9FTGtqVGaYRsU8xOpWGPoB2ZbirBlVT77vKYdrxag40s7rCWFUEhBpVCypn853bqsIUoFKp9yUFjd+g5v0NS9NBvKlfvgCwg8QzbTUj7HHErMwVS1pN2XJ9/CCDqvyxDPmYUNmw7dmFDy58ul0vaplX1toaGLf+oOQUdl7blTOOalV/XQoU7XRuMezxGj4TWbqx9ER+hDTqCTRvDZ/liSoficrDeUTA4RswEqGxcLGqLTaQYwZBOxCYfOUtWvDJJ6wK/q+o8aEaeXJdkaF63QqJd+qz6DDAA8u+WmapxJU6sf4vOHzw7/npypqY97fYbhqZd0W3tk12BJIU1A0MxH5ZtgEtTaxLG/8ZtMN2TDBghtuuU7XgE73lGKil7M606rUj6Xqh5XK8vRihaWTrIxK3S2kJajO0QYrwlM/ADBb0w9HT9g1H3U4djAqru7JWXr9AHqwMV3lqZ/oO11YbeC/3/B9/MGn7sKJ5bp6z3jqp1tGhaV+tDnidf42NCoTZadzNm9fsWwwKlrqJ8Ftlj4XrQdmmmgYEEYlAbSIW8uTDUbFNmHC3P5KrDx5suMseIq9B/WEIfBKCDNqNk+A/NfcQr/uSv0o0Vf4xH/91gG841/uxJN3hxU0NtfUa6+5CE/YNY//+KSdsd8B0UKZpNkIxx4t0K7THz+NclqU2pxTmfTTmO8ET/3ENCoJYloKJiYqfozKNYNJwuFTEaOS1L2U9xDKAs6oUNAIhOJadapJWCzICM1VCZG56sfxHqaGxoVVB6NSNZi9mVoZx5p17WcmowLoadCS7ykB4JpBTQNRUM8NGbfPTeDBo8vqMMADlXY7iM0vep6pUWm3I3O1ibKPqUoJpwwfGILtWk6w07oyPkxZ/Ck1sdJoqXXIxqgoPUNC1U+j8542zR33aOGn7ErJjxm+3bH/BM7YMImts7Uo2EgIVGgz5IZsQLysmacdfu4Z54RjNbpOxz6Tpbyef7Y8jIor9bPMyufveyxapyeq2aspbUhlVPzo+wbsjAoQzveSrzsf889g6xVF34Ut+Jio+Di5EgaHQRBo4vhhQRiVBJg6lHYQTVaz6of/jCJR0k/Qwr3MUz+0CRqpH6LZu2VUdMO3aPHhMMW0N959GIcW1vCZOw8C0K3kCVPVMn7yqbudC1JuH5WE1A9PQfisiqnZDnB7R59y0Y5ZLQCYtFT9ZBHTUoplw2Q8mHB5FRzOyqh0go3NWRmVycj0ioIcANpmaAZTtvHWHXl7fRG0aFRSTvmqUieluyw/gU1WSur7M40HeRBDMBkRQJ8LJd9Tz6NrksSolHwP22fD0vAoUCmpeyQ0fLMxKp4WzJjvU2Ouu2blTxAEVrHsFNsEG5bf28BTP2kaFQCJVT8NQ0xr09yVS77OqJR1w7f7HlvES97/Zbz+774OgKVvLEJagqvfDwUqyvm4E6ifsWESVz1+e2esKWJaCyMIsNRPikZFT/2UrakfHrRQrzPfi8+TNL+Z2NgtYlrN8M3Q2lHqcnairD3OltLh41ZWCtaqH1ugEl1z/nqnfdXP+9//fpxzzjmYmJjA3r17cfvttw97SACYRoWdMOh0Zfb64Y/XGRXEcn2T1ahvihmoXLQjLDddZpMjJo40NSpaoBK3yHcFKjShaLLTAkWlanlAtD4P5mxQGpVyJKY1F1VTUxExQAG+2TEAM108eXVQvOrHPW4SctoqFlxVNJxRSdKouKqJXKCFut5s46DRQ4iCI5eTJhAteNqC1IqqQjg7Za36SVi8gCiwWM5Y9TNRKcHzoh4oplaK+3UQbIwK3yh4TxUKmHQRZVt7ftn3sLVjCqgClUokEG0FdjFtmTclDPTPBXQYlc44zECFn/L5tZxkmyCvfksCF9Paqn5oTOZcsRu+dRgVEtOya8yF91wHVfF1wzcyYvtBpy9ZFkYlcuV1pH46z710d5hmfMOPnK/WE7VpupoSOlM/4d/pPirR9zNdK0esF/uu+fdOn3uyc29zZDWYJNjEtEmMimpxUNUDFc2dlwVrlBak8WuGbw6NCgBWadXWgsthMipDT/185CMfwZve9CZ88IMfxN69e/G+970PV199Ne6++25s27ZtqGMzfVToZ5VStBBUjd8BNo1K+P+IUYlutHqzjXqzrSyjH79zDl+854gW0fMU1FqzrRxtPWNR8rxQve2p1E98IgDxCUWT/drnX4SLd87h4l1zOa+Uvgk12m3UfPtNzXUQNg0AEK+YKPleePJtt9UpbPOMvvlzcWYpFqi4A6ekE6FN8xEEgaZRcaV+2u1AqfSzalRma2V4XrggPWikAg91Ko3M8mRtvEY1DB9flW28QDKjYlu8ADg3ZhNmTnuqWsLiWjPGHtg2tzRGxfc8zdU2fL+W5fkRm0iMyn4t9dMJ1FoBGp5do9Iygh76XCXfQ7nkM3GsHrhpzItFTLuS0UcF0G30bYwKb60ApDAq9L0kONOWLWJabvhGG9eJ5TqCIGDpmzgLG12DeFpirRnpdGju/czes3H1E3Zo7SWiXj9dimlTq3546qeEqUr8HudBy/2d1I+N2cytUbGkfvhabTIqapwdfRStFTx1afqohC7I4fvwoM7Uo3Hwa06P8734ONYTQ2dU3vOe9+B1r3sdXvva1+Liiy/GBz/4QUxNTeFDH/rQsIcWBQiVeDBCpxFO/9HEpwlppn5U1U81EhLWW208fHwZ7SBc0KmU1eZMS6yB6WhL9ylNSlWezBZWDtOxtckYjL3nbtbs07OCV+ckealonV4t5Z8AT/2UYuM1TasIkzaNSgYDplPKxjv+mcuWSqZF5koLJLt10vvaUmk2+L6HmU4wYFaBUaXRRELqx+atYCuTBaIS7pZloU9lVBI8JgDmo9L5TiiwMBe6KVugEujzC9AZHJ76iQKV6DM0DI1K2fexzWBUJiolLVCzMSrcmZYq/EydkKtChAeKPDjjQUdmHxX2HM6Q0ve3YqZ+Eqp+KHizae54YDdhpAi54RtV3zTbAZbqLc0G3wXe74fAK8eIIfN9L9YDi6chzF5BNA5Cr860PPWz6mRUFmPPI2TRxGljt/T68TxPzT/TR4VAAb7Nu4rPheV6S1ur7FU/8fuvplisltYOw2SQ1hNDDVTq9Tq+9rWv4aqrrlI/830fV111Ffbt22d9ztraGhYWFrQ/g4JZ9QOw1E/nO+d176Scr8cClXbnb708mR7LO+xOW1TndIPxCgp+09HpwVeBip6ycHVPps+iKhT87m8HfipIClT4BHE5OZobZiRSa8MsoSVozrTGBE9aOJJTP3FGhbMp5u84jjEXSRdDYQN5qTxwVGdUyGQuKfVjE//aSpOBZB8VVy56qguNCgCtcRvHTEaNCl9sfQ8WRkXfoHgTz5LvqX5QpEeqGVbztmBT60VlHEBoIbdViADRNeeiV0APbHJrVFJ9VOieD59nS79S2tVqYOliVJifTKsVaCf240t1xUja9EYEW+rnJBOGJgleVZoqsFsfuHr9RGJa50sD0JmRGZb64cE4D1QeOBKu1WbFT/he0XXKAluvHyA6VFDqx/w9rVU2N3At9dNoqfQPYPb60e9lDl5plcS8rCeG+u5HjhxBq9XC9u3btZ9v374dBw8etD7n+uuvx/z8vPqze/fugY3P7PUDRDeh2T05fHz45dOXS5sOnUJU6qcaOQvWW22lZdg6W1OLmU1MyxcDUvAD/PQQ/l8xKikaFfp8Lr+VPOCnAlsVBYEHIXxY7YQNkyZqqx04T/16rx89UEnSzBCjMmcJVBRDwRYe7koLuA3fyP4+K5tCoEXokY5/BIECpEzlybbUj3G97D4qyYsSnXzTNCpr7BQGAP/lPz4ev/HcC/C0PbquiGtUzOaTXABNcyGku3WNCu8LBYRzkH/dZZb6IYRiWs6oRKlTgl6erH8uuj7qehhpiajPjz6fuOFb1tTPpCX1w3v9mBqVpLYRphYtk49KSS/l5n4mJ5YbzLQtKfWj6/GAyLyM+zVZn8vYbJuXiotNUIFKCgvA7/WpalkJnvn6y0ujKRiypX5yV/04UvNVte45Uj/EqFh8k0wxrcaoWNO8ltRP52crDZ1RGSaGnvrJi+uuuw4nT55Uf/bv3z+w97L5TyhqmjllmmWMtKCRmHbNLE82GBVepjdp0QFw/wOad2us1I/WJFqkiKKL2ronq9OjnhPd3w6eF53ysqR+aiXdI0XzqjA2TC4Odm2mUxYL/bRmagBnVNypH35SI1daakrnKsc+1jGRM71Z0kD3DL3sBCtPBXQnTRM28a9rQ0xzprVBVbk0WonB36rxHT31nE14448+LnZ/cV0RfW67RiWcH7TpUMDeagfqRE9odbRMhFLJU6kfQq0cldyG3ZPDx+9gaYew6if8N31W00pcHSrW7BoVM92mUj+sKWFWH5Uw9RNtbKZGhTYtMwANgkAdhMyWIPwr5KkyPre06qdAZ1ROrNQzpn7iGhWz+an7uX7k8G3Rqdh6VQHRWpwv9VPSqqwINp8cqzu3RaCeBJtGBYj7p8RSPxNl7XFNl0bFkvoJFDuYpFGh8v9WbC4PC0N99y1btqBUKuHQoUPazw8dOoQdO3ZYn1Or1TA3N6f9GRSarehkZC4A/HRj3qDUc4JSP3HDt6jZWKMVBSrTtbJK/axwC32Wy7RF0S1DOOap5zlSP8ZnoRu9kjKp05ClMaGaIJ2GXgR+AqTUAm0EXKTmOgnYmhJmKRdUGhWLXsKe+gkZlTM3TsV+x3E8p4cKwVzwzQqsbIZvGTQqlkU1a3lyELidQoFkWpmDp4JIeG73UYkYFUAPSo8v6T4spoFb2fewzdA91Co87RhdrzM6rQIAoymhcQAxO87GUj+GxorA2ZG8qZ+VelvzBlG9fuqGmNYQqP/5zT/A5f/1Bnz+e4ei1A/1sGIbHN80Y4yKdlDQWRHTC8WGKPUTXaesjIrnRS7CZnkzEPdRCQyNU5oAVBfT2g3fbPd6Yuonq0ZFBZ76PbCl46ZMtgamxX5NafdsGhUuAm5rQRY3h0suT2ZiWmFUgGq1iiuuuAKf+9zn1M/a7TY+97nP4corrxziyEJo4jXjBMpV5ZFvSaBR0bT4KsM3tQGXNUZlSWNU3KmfcslXVtk2hTudPFLLkw1tSKMPjAoQaVySAhW+cfI+HDxbtMQCN0A/Jbr6TmjlySVdq5PIqGSo+tFSPx1GhTY1Z+rH0T8oDbxrMQDs2dJNoMJOWDk0KkluleF7R6fbpTV3oKKYh5RTmJVRIWfaljtQKflRg79jS3HDOP6ZSr6HWWbkBYQn/Cj4basDyfxkRW24ZSampctpioSnLKWsgN54k4M/vs4OQUngbrZNtvm6GJWo10/4/O8dCDV8dzx0Qn1OGj+fcy3G1mg+KobhG2caTizXmQ1+upi23gWjAiR7qXAhNC8y6FpMazF8szEq3WpUPvqV/Xjnp7+HIAisYloA+B8/dRn+589egXM7XepLLJDRO1vbNCqcUWnGxh51HKd1NFmjwhuMDhNDL09+05vehFe/+tV4ylOegqc97Wl43/veh6WlJbz2ta8d9tA0OjSyY3cxKm20mdETEPdRoZtmgvmorDXbatGfqZWtJaCK8Sh5oZPlmiGmNQISuq9pYXAbvumMSi8aFf78pMCAizt5/pinfpaMxY+/rkscOmWz0O88JFlM6676qVhSP8SonLGxE6g4Uz+dQCVn6sdkVM6OMSr9Sf3YzPDWUhgV0ocsKgM6ew+j7IxK9Hv63Ob8AqJ5w+/j6VoZK42W5uALdBgVtlGU/bAse9tcTVVS1VjJbasd3R/lTppo8bGmdn8GpphWMSo0V43Uj0tHRRtAPYdGhQU3EaMSpU1VCsn0HCKhfOc5jy3WWerH1x4DRIGhqVHhPY+4mB0INSqLq1FHXxfsqR9qfpqu4QoFtQ3YbPTN+bfWbIel5VnLk6t6EEDrEN/gTf+X8Hnu8uSk9e8PP30XTiw38FNP3e0U056/bRbnb5uNvS6gH6jyalSAcC2bqJQSUz88ODYF5MPC0AOVl7/85Xjsscfw1re+FQcPHsRll12Gz3zmMzGB7TDAUyfmTagMhTydbeE3Cp2OqQTS1euHp36mmOqcvFKi1I8fc7QFolyzWfXDT2AcccO3jjC4h6ofIJpwiakfxojwt+OL5qLJqDAGKHq+PnFshm9EjSanftKrfmyMypkUqBieNoS89vmEORYwTVZKqmKFkMSo0GaVJfVTsQSVrpQFB3mi9J1RYXPFHJfJqABhkHNkMdICEZqttvZcesr22QkVqPDy5FY7SqmUSz4u2jGLHzy2hO1zE3is8123jLw+fQe2Cj0AztLjCfb4zKkfi+EbZ1QIkZ4h/L8K+Dr3wtHFNXUfT7DeZXTv8kPZhGmhz1gazmocX67H3GVtqFpSNxRgbsjEqHRSEVYxrb7W1JttoBY/vDlfu6wzKhS4az4qGTUqWVI/dAhbXGs6xbSx1y3x+z5aH2y9yNYMJijG9nXmeGSLH7//9PJk/Z4fFoYeqADAG97wBrzhDW8Y9jBiiPqFRL4FXKQGhAuDLTUB6JN3rdlmqZ+IUWk0A63dOUXq7SB8zkSlpGllyNTLVopHp0TaNOl5Jv1ptm3vR9UPwG30szEqeurHzajw8mQXo6Jb6OcR07oXWlsq5chiuHntnA8DFcr7mteOtBNZ7fMJfBybpqtK50RIWjAoMKtnYlQ6p2rLaSzplD9lKd80kZVRsaV+VIuKgAcq4Xvx+4UYtCSNStmPzA+3soDP1ZSw4nt4+4ueiFdfeQ6etmcT7uqkTej2WTXSjsTCmemnNEYl1KgE1seY0Kp+6ODE1iMC9Xkyq37o3j+6VI/6FLHvpR0AJU9PE0/XStg0XUU7CDBVLWkGkVqJ8XJDY4NdUKmfFk8b5WBUElM/+tyma6/EtGkW+lUeqJRQb+opNdf7JqZ+HOsN79S92mgpNiht3eXaQa6lU07U7fgcDt+j7Uz9RAcYW+qHNCrtGIs4LBQiUCkqNI2KoevgE4HfoHwj5dH6KqPhJnivn1ZLZ1TYBFiptzBRKUU3tB+1Um9ojAqNBdrfdUcO1BRSNllA1guIUUmykOaMCKdlW1qgEl4nOrGW2ImOTgwmQ2BnVLKIacMFcy4h9cMDFQpsuDNusx3AJCFIo5KbUWGBycbpSq5AxZr6cYiP7VU/6fnoLF4qEfOQvLjZxLSKUbFoVDQKvPPcY8s2jUo88OYlyjxQ4ZtHueRjw1QVe8/dDIAJU1VeX78+j9seaggooCG4AhVuJuZiukxw2/0kRoW7ONPnCv8O3+fo4prTwLLkM0alFLru/r83PANBoDMqrUA/sR9frqv5k9jrp+JmVLLMjxrTTJgwUz8qUOk8NA+jMlMrY9Vvq9ehaxOt274aw2Q1/r3xa29jWbVKokYr6lidcg9oGhUt9WNhVBjrxNl69TODUbHp0SIL/eIwKsMNkwoOTaPiqvphZbkhoxItZr4fuQyuNvXUDxeY8UClXIpca6mFepMxHlVLXtK0i04zfDP7gTRZaqkX2JxcTXBxJ2d6+Hpjpn4ijUrEqJgTbKIclW7TxE7ylCAkMSply7UmtoeLAM3eSwDTqPTEqNRigYrtJEegTrxNW+ong49KFt1Eln4/rvScCR5cRmXZ+gYL2FM/NA5iVLgrL5+3BJ5Cq1VK2ud3UfBmdZzpKXHRzjl4XuhxQ0wbwAwUXeXJXEzbhYU+r/ohxJ1pDUZlsR6lfjRGRX8cXZczN04pl+zoOuiMyjFW9WOrmiPQd2NWDAEZUz+0hqaIaYGItcma+qFA0PfCucXvSVqv6Xvfs2Umep61PFk/eLXbAb798Ek1r8ySZ15unoSydt9zMW2yRgWIM46NVhiA2aw3CLrhWzEYFQlUEsDdLc2FXQUHvmf4fOiLdFRa19JSP7zXj5nqMK25eT67ymjUuw+ewgdvuk+9p6cClXD8qntyrHkW1Hj56/ee+olvlCbMzZDGaqP6o9RPxACpsjpjgvmsEiRqSgj1PBta7UBtgjbq2kz98MdzytpW+ZO3ISGBMzubpiqxKqAklqJqSVW5Tu6J3ZN7ZlTc+W8Ofs1nE3xUVhodHxW2YJP9Pl1n2nB41Q9//DYj9cM/v4uCN+9Nk1GZqZVV+ThnVWizNBf3qDcQ16ikbKQWC32rRoXmk1H1Q3Px1FpTBRWcRTCZF9umyf2R+GZ78OSKOmAkMyrh+9mqfjZM9jf1Q/ceXau01M+uDRPYvWkSV563WZVC01NoHaL3PZdV4NkYBtNu4ZPffAQv/NMv4U8/f0/4OobQ1aUhNKFrVOJ+UbauyISjltSoq6M6gebtmqZRkUClsGixahtTKEULge97zDwquglokeLRqWJUePfkVhClOihQMdwRbT4q9WaAP/zUXXjnp7+HG74b+tBEC7PObJgLsCkyjVI/fWJUklI/xmJvO9kvdq7HlBLTQo1zTTEq8YViykgV2bxCOHi/EVvVT5UxOeG4osfPTJSdKv9Gqx2liHpgVDbm1KjksdCPNFfxRS7p9ERMxopDo6J73eTQqBipnyQfFQCqJxKlELizra3s05X6abcDtkkb18hgJ6IALPpcF++cAwB899EoUCHXaHM+UTC1uNpUJo1ZUz+r9RZjCfwYU6DEtAaLqDsPx9lIU7xsYyA0wze2yZFbMrERLth6/RzPVZ4csdImzLWG1l9uyJmEWrmEz7/52fjbn98LIDzscQEzwAKVrVGgklT1A4TXff+x0F36wU6LlDVD99J0rM9Jr8vXB5rTmuGbITg2q+Lqzbb2GHugYqn6ydEGZBCQQCUBNh8V1VGVpVs0MW0sUAn/PrXaUIvGhNOZNrwZTC8V7qPCrfepVJbs1uMaFUfqh5gG1esnGwWZBqVRycWo6JsBAE1cHI4rCjiScvt03WjipzEqC6tR7xfbhC2zoBCIApVqyUetrLNiHLQ4+F7cFyUN/PGb84ppe3WmTbDVJqQxKvxapJ3CksS0GqPSeS9+e04bjAqn7Gkh1hkVHqjYLfRNdsO00Ld5SlCn8e8yRsVV5m3zXckjpk1iVKLAP/x/dB3jmzsPKsxycFv6Vzd8i3/v07VyYsO6SEwbpUAonbIhQ4sJ7pRqwimmNQoMklAxOovza87/PnvztGJbksS0QIep63zeKOBhjApj1dJS7nq1m41Rcad+TKF3o9VW18j37Gs+F9MKozICsGlUaGJEpxs+kduxjYFoVsrJAp2qHxZwmP0yaDMgypsWmyr5qCBMN9CGePhUGLDQpFSpKFfqh05dLV2j0iujElX9uBkVk3GKBIvRY1yGb1zBbhOBUYt2es207slJHipAPPVDDMxMQlMwIFocNkxVU3PkJkxGhQe1QMbUTzMefJjqfqszbUIlAEGV5Do0KpyeT2MLZmplFRyQlieJUeELutKoLMd9PGhDKGuBCteo+Nq94TI8NDUqttOljVFxBYe2IDNreTLvs2M2OwxfR5/7NkaFwAMt02DPdr/qhm/xuZ2kT+HvR4wdVfyUfS/1uYAu7jRhzj36jqKDZOrLx2AeFOl9ZyfKyjXWrlGJrmubMYtK62K4xvLqtCTwe2TGolFx9TsCgONm+T47TFfLvjXApOu9UiBGRap+EqAmb0lvdc7/9hij0m7HUxu0oVJOltI3FHCcWm2oxZkWXzp5UUqo4WBUaJEmvwflo9K5ryONjXma9rXPkNXTIQ1qY0+osjEZJ5v3gBLTVvWAYDllE6TrF3lK6J/TRFTxY58GZi8N0y6cCzg5In1KPjYlHAvXqFTVz44srsHzkjd/Wzl1HkYlqRKAQOk4F6NCr1H2vQzVDB7e+RNPwuJaU1VRReLOuJiWn44pMDmxnMCosF2K3GlXGq0OoxLdG64WEqZGxXa6JEblvscWsdroVOk55lOaANOGCVZdQoFyiaWbCTExrdKfxe/9SqchaDuwMSrx8dh6bXEk6VOAuOFb5KFSSWRiCPyEb8Kceyr1k1FMa8MUS7cBYVABhN/f47bP4LFTa7G2DIDO+HEtCAVoZtVPpI3KwajYqn609G0UzLbaQawqrtFkFg+O963x1E9BGBUJVBLAFzDfOJ3T/Ch5nlaVYkagFJ3ef2QJQFSOR1b4XJVNG7MpptWqfjp+CQsrDTURyIRM9foxqn5iIkGWEglYm/u+OdNmstCP1PYAr0CKriEFBHTtuS7Clp74+Weei03feARXnheWl5qpnyAI8OjJVdSbbezZMp1Y8QNA0wMB8UDFmfrpnGI2T9udW5NApev1VluxDPOTZRxZXOtUNrm/o66caTOYw3FMp/io5C1nfOkVZwKIulLbev3Q986HRYEKPYw7E68pRiV6Anen1ZsSBs6AnmszgHiQDQDbZmvYPF3F0aU67j54Cpfu3uC85qR1UxUXjhMtR9hqIvycdP+VE6p+ojFDfT4TlQ5D3G4FmTQqXNNmCxaSPFSAuIV+HrM3IJuFPl0j2oTzpH5MTBoawTV2T7/rP12Kux5dwOVnbYg9jw6tVFXTMBgVznasNVqRNiqHRkVP/cTXH3qPDZMVHF2qx6p+6q026/Njn6OTTFcpjErB0W4HUTBiCGbp9/Q7TiPXjVMpTbLbHzgGALjkjHkA0SJGrAg3VpoyrLmV2JX5qJCQLXxcOBFcvX5M5btWmskWsl6daW1OribM8uKoSiF8Dnc8VeXJncfQ56yW7Av8C560Ey940k71f07d/8G/fhd/f/t+tdj/n1/YGwUeKYEKnSIzp36UR0R+RgUI7fkfOLqEMzvloaRTsQn4bOO1OdNm81HJUfXjcKbttpyRb7BBoDcWXFanRJb6Ma7FpMao2LVZL3/qbvzzNw/gyWdtwG33h/NRK082NgzPSEuuWYIwz/Nw8a45fPGeI/jugQVcunuDs9eP53mYqpRUf5y01Bg9Z7JSwlK9pTMqxmdTmi8jXWXTqFDA1GgFLDB0b5q8SrAVRJ42dO/MOFKn5thoHuUxewN0p1QTdK9PV8s4tdaMiWnTLPRtUKkfQ6MyWSnhjA2TWvNKExSocEaFAqw1g1Fx9fqxvSaBByoVg9ENmNh5fioMVEzGqdlyN3YlqKqfRnGqfiRQcYCnC3ivH1v3ZF1MqxuS0Rf87YdPAgCedKYRqHQiXp5jNycKZ0bodUmXwqEcWTv3tYvO5ekWHlT0zKiQuMtR9dNsRXlZZVBl5NQX69EiXjXSQypQybgJ0njqzTb+7rYHNa+Wrz90XAUAszX7gkkpIWJeFtc65lZpqZ/F7jxUCH/xqitw8OSaWhBpnGmW9NbUj4PmNcXhPKeeyUelT4yKOZ5wTHoATVOR355mbxmq5OFz0Lzvf/XZ5+NXn32+9jvuKWGKac1705UaU4FKR6eSFPBNVKNAJavB4mQ1DFROaYyKEagY86mdoFHhhyuXjwqHYlSCQOmfts3W8OjJcA3iPZtscKd+sjIqSamf8GdTtZIWqPSDUVk1NCpZNmveE46CKNOPBTAN/JJf193rR2ewebWfq+ybi2ndgUoUGBaFURExrQPmBh4zfGNusLwqxVzM6Aumm/LSMzcAiDYVW/fReOonEruStoXSPRxmrx+Cy/AtCPSbu2cflRRGhb+XeQKk2GZZCWmZ0yxpVDqbY9bTOn3OgwuraAfhhP/VZ58HAHjkxAoWUlI/FCAsrIQByqJhF64YFUfVT14PFcL522bxzAu2qP9TJVDa5s/79xBD5dSoGL1++HeTqeqnz4wK31C4aZs2ZkcXWXo/us9pQ0jSJ/C2DA3HhkGxnWpK6DCyU4LaTuVPUisCrlPJqgmj7z1iVPxYEBZ1Tw7/b/OjASI20mReEqt+GKNCQSDXaKSmfip6iiIvo5Ikpm0yRgWIKq5U4NUFo2Iy2is5gm/OVPIqJ3P8IaOSLfXDmUTNQt8w2OSpJVcQWG/FCz5M0OdstAJlOjpsRkUCFQc4ZWo1fGMTgVOjdSMCNU9flxiMCoFvzOZm0GBmTIpRWYgzKlGvH/3nru7JgF5333tTQnsqRL1XI74ZmhoVSsfo3ZDDxy6v5WNU6HkHTobl29tmazinY9r08PGV1KofmuwnKFAxUj823xKge1daF+azBirsutA949o0zaofWxBpQ1qvHyUmz8mo8I23HQSxDRaINmE+DkKtXFJiWBejwhHN5+hEajIcnsGirjpaA1y4YxZAKKgFksXpPFDJeh/Tc5RGpeTFmAJX1Y95aKDHmetZso9KdAChIHDnPA9UUlI/hjPt8aVuNSrxdYWu9VRNN5Xjhpx5EXWsDhuOmo7ESeD+RFHqR5+L4c+ifk95nGk5o6J6/bR00S6AmK0BBZPNFmP9U1I/AHByhSwchFEpJPiJjlOtNKFVfx3f06hRtTGo1E/0BZ+xYVKVt5lU/HTVwqhQeTKv+klkVMK/PaQwKjxQaURitG5oUg66Dq4mgHUmfCubqR9Do8JPabR/UOonM6PSediBE2FQt21uQnU9DgMVd+dkIKxKAMLJGgSBSv3MGmJaczMgRqX/gUry5+b3FI3JlfrhbqOALshL0k6k+aiYjfuygrOArXagiXwJrlw9EC66JRWoZGdUWu22szw5So+E/3cxKhsmw++ZyuqTTqxcS5NFowJE6wEFKkkalVhndGMu0meMVTEmVP3QzzgjsJ0zKmlVP8zpFIgC/w1ZGRXj+Rz0+ei+NFM/3QQq0+p6N7TgIk0jBvCUImJi2livn6ypH4czrdkBnVecmmOlNHam1A+7v4lNTqoEXA9IoOIAn+AlIxgBwgZdgG741myxXj8kpmVfOulTgPgixjfLKdPwjTnkVlQaJD5po14/+s9dGhWAnT57LE2m8QF61c/bPvkd/Oxf3ma49kbXRKV+DEaFM0yKUWnkY1TotclGevtcDbs3hgLVPKmfVjvAIrMgn1aBip1BWkhhavKCSpbTUz+MUaG8teP0xFMfgM68JFWipPX6OdrpeeO6pi4kaVSixzAxrRmolHx1D9uqfkxwit7Vc4WersqTHYwKneYbrfAebziCQ6A/qZ8kjYppUtcy9GJmGbNiVBJ8VGxdyHcwRiXdRyW6Pu12oErKs6ZGs1joU3ARlSeHv+8mUJlTKd+m9p5pGjGAFzJE9wFVAMU1KvmrfviB1tSk8bSrWQpPn6nRcnegV5+BMfeUphs2oyJiWge4IpvndOOGb4aY1lBU80j0Eh6omIyKTUwbs9D3Exe3rBoV/nuaPKaHRDcwc6ZBEODvbnsIzXaAB48uqQWfTxCzBNQ0ewOiibqiNCrZJo258Wyfm8CO+Qn4Xrig3X8kpOpdm+pEp3nkWrONE8sNlSqKlScbgYorldAtzuiwQFtnk8udS74Hz9O1R7Rwm/cNF5Pyx9VSNs80RuXOjqCUdBtZYXbSNjfY8DHRv/mCDegalSj4TmdU2m1mue9wplWGbw5GhXc8X643EzcCftKtlLOLaQHdadoMwioGo+LSqJipH7rMWXr9EDwvTKMS0hgVfh24/1NmjUqCmLahxLQdjUrnu+fd7fNCadNWG4oNyeILRI8D9ApQIGRQTMO3rF3rKUCfZpWhQNzwTd2flVIsUJlVjEqc9behVgktEmiMolEpKCjapQntoko9T6+iiWrU44wKCWn57wnTCWJareonIaqntcs8SJqBCl94lEFXHxiVKPUTvuYyU7Zzl0P+GaLNIPz/Uj0uLqa871JOjYq5SG2fm0Cl5GNHh7b+/iEKVNwLJk//LK3ZNSpm6qdfTr+EH714O9778ktx3TWPT32sWaLsKkU0U5lZSpMB3uvHHqh859GTAIAnnDFv/b0LfifIAsiELY1R0RfiKms0mCf1ozMq+mc32Yk1B6PCU7LL9VZym4dK/tSPuenYGBWz14/ZGd18HD/5h3/TwSs+JnMe1cq+xoaY7JYJfu+tNdr5q34cYtrQB6ozBoNR6SX1QwzmyZWGCo6SehlxRBqVAHV27UPztChwWWPlybZrzkH3tRkQKidwxYompX4iRiVJ7E0w2dthMyoSqDhg5mzjhm/RRLApvZXhG1vUnsgWb/Mm0at+6NSqa1QqrDyZwIMOGqNJ3SemfjqTvx+n/yj1E46XhFhAuLHZcqMuMa2NUbH1WkmCuUhRXp0YChpPUpqCTlcnV+It7V2pn0bC6bQbVEo+fvzJZ2p0uwuRjb7OqMSdaXUxremo7ILSArBcN6HZaqsuwk/clY9RCccUzTHe+4nAb/1yydfGamVUMmlU3L1+TL1HdBKNL9pcZFxPCFQ1RqXLQMVW9aNSP52XNKt56Punz6hs8U2NimUdMN9rolLCPGND0lI/Zd9T83yt1WJVP9kCFZePCp93tF7Q+hutz5neQsMcq/ajgDyrOFxrzcDFs/W2wajwXj9pjEonUDGus9mLjKd+zEBDS/1kKDk2g3FhVAqKhpGzNalybiikSv001z9dTLtny7SmxI4xKjYxrcGoVErx5nlnb55S/zZ9VKKf68/xvOj0Glme94FRMVIhPFBZrtsZFXMzWLKUa1MA1q2PCmF7p9/LmRuntJ8nMiodoaSW+jEYlVigohiw9Z9epq12mjNtXkaFV9uYrMoPjixhtdHGdLWEczZPm09NBT8M2ErczcCTB7NV1iQyKk92fxYeqLjKk2mO0FxX89CSsplWJa0tpy4I6K7qZ6KazqiQY7XZ5JPuA7r3Y12WO7duUtWPKbI3GZW01I/nRUzwar3NNCq9pX446zbtENN2k/qhTt4Lq00VXExWs31XfF7xlPAKM0+j/ycFhxz0e9NYz5zr3POEz1PPi9ZT0lEBKYxKWRiVkUBkAmXP/XJDoSgtFD+ZUmvwH37cVu31zdObXp5simndGpXzt82of3tOjUr885ksRa8eKgBvShiOd8EIVGyUuFlOSekdzUel87pLzAwuC8wFlhgVqvwhJDEqdBI5sVK3iGn1NAuBPn/WcfYTpu2/Kw1hOi1nDVR4sLxklCjf2Un7XLxrrqsKMj7H7EZlZrpU3/RL5j2dMAZ+8HD5WXDDtyCIDLySmJKltZZTF8QfB3Sf+vF9d68f7vDL3bW3z05oj3P7qKQzKrVySQsy0nxU6DkAcGRpTY2pVwv9po1R6UPqh7OoZPpmbtwucKaSH2DM1M9yDsO3sztB/wVsrQfiqWdeyMHvmclKSTtUZZnrZupo2IyKiGkdMDUq8fJkqJ/zUkeTVnvWBVtx01uejV2G7XLNoI/5ZJ+sRKczQBdn2gKVf7vzUDiWzpyMByquvHPUkbUfegrTKltL/TSa6jpxGtXUASzZfFQ6H6xbGpZAi7VpgZ0UqNg0KrOm4VuMUcl2UhoETJbHJexMqvpJw3S1hHqzHfNS+c4jYdrnCbvy6VPMMTmrfozLyVnImk2jknD9eYDs0hTRZh4E+und5jc0zSwF6Pu3pdEmuqj6sWlUnIZvjJXi7trbO2lDuidNW4BGS1/vOMyfTVR8zE5UVH+dbIFKOL5DHTfb6WopO6PU+fxrDfs8A4BJKmE2ev10Y/hGeo6FlQZjVDKuOQliWl5ezX+Xlna/bPcG3PSWZ2PnvL5umeuPK/UzWSkpFpCvVUmBctEYFQlUHDBPGGaKIqIWo8lgttAmnG2hwWMaFWt5crgRaN2Ty/FAheCiOW2nJJXPV6WcvW+qyiCtk4PWNSptVEvxypJY6scipjX70mQ9ifIFtlb2FaUbS/0kGFaRFfWJ5UasN1DVkfrh5eTrDVM34wpAFKNguFpmWZCmqmUcX27E3Gm/80jIqDwxp5CWwCvAsjEqPPUT91FJZFR4U8K2fZN2paJsqR8bo2LbiKe0qp+MgYqxSYaHI/25Nh8VPmaTUTG7licxKuZ1CbtPe3jDj1yAAydWYgylDTS+gx2jyqxsChCVBdc7LTjMILtS8lSDPcWoMJ+rvCD9DVX7hWPIH6iYjIqtaok/Jwm2PaRi+FbxOczvmYlKST220QoQBFQd5L7/+O98bzhrGYcEKg4ojYpRzhczfGPdk9vMYjpNlJhY9UOVFY1Wp7txVEJsNjo7bysLVAzhr/lzjtii3gdGhQzOSNWva1SaKs9rTgIgWigXVeqHG74ZC2VGGpIvANvnJlRq7Ay2sJZ9L5HWJBr48MKquifM8mRX6qcfup+8MEumXamfmEYlpfU7B6VceOqn3Q5Ur5snnpFfSAuY3ibJYtpwHA5GhbW6d4G7rbp6/XCht9ZqwsqoRLbrWZ1psy7+pjAyiVHh6Srurr1jnjQq9oNXUtWPOf9ovrzpRx+XafwAY1Q6zVSzmr2F7xd9/rVmS7GtfJ7Rehr5qLgDrzTMVMuqzJ+MNU2dkAuaRqVpBir2Srlu2ew4o8KqfjijUtVTP+2gw2wnMSrs+bWUru3rAdGoOKAWr87EpRueAhSbj4puoZ98aUtMCQ/Yq36CIBSQcWdaflPPTpQ1h0h6PXNuJp2SaPKYAVA3oMWHLOTJ+AwI0zZKaMw1KsZ1jcS0ccM3QjeMyg52nXZtYGZVE+XESUif6ZETK+pntCm5Uj91h+ZhPcCDpyBwd0o1q36yalQA1guFMSoPHVvGqbUmqmVfC57zQEtb2HxUTDEt13vkZFRKltRPvNcPZyeSqXrufZS110/W6rV41Y/b8E2VeBs6nyeftREAcMG20O4/j0aFl46H486fBqDnPHh0CUC+Plh80+SshM22oR+Miu97Kv1zqMMAZTF7AwwfFVNMa3HWBbrT0QDR4dK00Dd9VKaqeuonk5i2whmZ4YcJwqg4YGpUTMM3bijE8715cv3Vsq8mHs+385tsud6Myl0NH5WNU1VtwptjNX+u/cwbJKMSMimamLbRsuolTN8Hq+GbsTF0w6hsm4sMqmrlErbN1nD41Fqqe+x85/o+fDwMVLjpkqt7cjPhRD1oUDqBOlWTTCGt6icrEwjYGRXyT3n8jtmuP3eqRiWh6qdWjpxpVxWjkrHqxxFYcv0U78tiC2y1qp8Ew7+JbsqTjYqTcimDhb7hRfOUszfi9v/yXNXCg4bWjDEq7vQxXYNuNi4a32fvCvV0T9uzKfNzS37oyN1oBRorERmm+ayfUPh75UzbJRMwN1nGyZUGDncYoKwaFV+7r7iPSjumsSF0m3anw2Uzlr71namfZitAAL1k3QYemA1bnwIIo+KEqRqPG76Fj/O9KF/ssol3gTMDmsGZ76kNY7keGQNVjKqfDVMVVMu+Sk/QAhprSmiZrHk8J7Jik9Ko1NFuBxl9VGhih/+3+ajEcuRZGRX2uTnzBESVP2lW73Rt6WSlt1nXT3GAXmkxjEClyliepEaDLmfaLAG2KfYGgG939Cl5jd44Uqt+jPt4RgtUSuoz1bMwKpY0U0xMy1iXpHQOwBmVKPVjC/qm+iCmLfm+Nid8Ly76bwdxd+1tcxNqI421BEmxc+fp5O4YlYjpq5Z8vOJpZ+V6vs30jfuQ0OvTPd9L1Q8AC6OSzw273mpp9/BK3c6olByBb7b36lxTy2GDByph1Q+NK6uPSrEYleGPoKAwbbWjDTX8koMgmghcmKei2gxfbpXdKKbTJi9R5lUkfCMhQdrmmfDvqNePwahYFp8o9dO/0z+Npx2E9tNmoGJ1pu38M576iYtpCdm7J/NARbefJ0FtWsUCiWlpzZmxMD089dNgKYthpH5o8aq39By5qzw5zW/FBsWosH4/N3//CIDw5N4t0sS0JlM4lZL6SdqkVCqXMyoOJjII3KwLIbomvAw/vhFMGmPOArtGJXoun7uaADgh+DCN4ZJ6/dB7ErppUMcr9V546a7UdhCu5/PUD6/WqrlSP10GAeqAcioMVPJW/ZjC2dWmXUzbywFRzeFY1U8pXp6sAsWszrTCqIwEzBp3s/KkpQIVbkfNWmhn2Pi5LsS0oZ5i4jxN3c5el7wMiM7No1HxVeqnfz4q1bKvSnePLdV1MS2z0Oc3fqzXTz0upo1beOdbNIA4o3KGYlSSUz+m6I+bLtks9LXqkGGIaWlBakYnJ9+Lp/ZcGpUsqZ+pqs6oPHx8GXcdWIDvAc+5cFvXY1fVcy17oGLex04xbQ5n2mbbrVHhQu+0ijO6Jiv1yHHUVh3UTXnylNHXqOR72uGDj4nf840EUbc575I0KoAeJHazcfExvvYZ5+R+vjJ9a/LUj1uj0u4boxKmfrIGZ1FfMp09Wa1HYloeBPRyQIw1JWxEh+SYRoWlfrII54VRGRGYTbrc5cmeRqPTZpzly6XJxalLAnen5QtpRQtUQgZjS4dRcVX92FI/FJhk6TSbBxumwwl+fLmuaVRW6k3rqZ2fALnQiwslzSAqb/dkIB6o0Mn/4p2zia/B3YQBXeRrK0/m/x4Go8JTP0knJ1OjktTx1wR9N6RR+dxdhwEATzl7EzZOZxdJusbk6vVjMiozsfLkjk6BnGkzNiV0OYRGQm+WTnK8Js3XxXrko5Le6yfb/ZHmo2LTfAHRmK1usywoBOIHMxMao5Jx/nHQRv+0czZ1Vb5uM33juiEzUIk0N7nfCkA07+n1Mvf6oUDFqPDhvc5susJuoA7PSqMSpX74dzTBxLT1VltVxWUV0wqjUmCY4rJYebKl6me1ka+PBd0oM5bKE9JCLKw2nE0J6bS/eZoYFdKo2Cls7Wedx6w2I7amHyCdyrGlhsVCPz5BuGCRpxISNSpdWOibgcpzH78d+677EbwxpcRydqKiaX5sqZ+6FqhEG2y/ev3kgTpltZNPTjS2IOiU1ecQAFOnWjo1kkDyqou7Z1MAu0aFbxDm9ZwyXF5Nw7ckRot7cTQcKRJ1byboWMyxnFyO7nmbT8pUH8S0ZtUPfx2PPTRJq+NqsuoK7vj7mamoLPihC7ZgbqKcOt9coIPfwY5hHKCnflSg0tIZlW5TP+S5FL1/3tSPHqhwZ27uIdPLuqvYU4uFvu9HtgsxZ9oEDRVBC1SEUSkuTI0Kz2kDRtVP53cHOpOoUvJUBUwSaHKZLeuBaMM/vtzQTrv8xqZgiPK9dDOat749R02MCqV++nMrbGReKmagYksv8JMtCWmrZZ056lqjwhapbZac+M75yVQhW8n3tKZrM7WU1A9L0w3De0AtSE1ehhhfZPmGxMvqszrTAqEe49RqA7f+4CgA4KrHb+9p7HqjwA6zxsvUk8S0lVIscMyiUQnLuMOfmYFNKYeYltIzJ1bq6mdWRqUvGhVfuxY8xaQxKi23n4zLR8UVXJvmiXnx8qeehW++7Xm48rzNuZ8LAE8/bwsA4A/+9S4VrGjVkKrqR9eodMsUm0xqVkaF3s9M/fC1cAN77V4YFZ7OAfSqHyC6JycrpaizfdZeP6JRGQ2YVKgqTzYs9H12unm047WxbXYi0yZFi55N0Ekb/tHFqDdGmZXhARGj8uNPPgMvvHQXfrqjpI8ZvtlSP7HTZ38ZlYMnV9VrAwliWtIBBIFyOjWvR7caFfrOZmvl1Fb0SeAnIF4lZEv9DNPsDdAFvkm6E74h8RLdPIzKcr2Jm79/BI1WgHO3TuPcLv1TCDYxLddnmKkfzZm2FO8onMRo+ZaTrxnQ86aEaZ1uiSk5wRgVW6DSDwt93w/HT0Phr8M3PjW3Le9j9thqOdx5Cfx+7oZRAeJMbx686Ucfh8fvnMPRpTp+7e+/jmarnWj4FvVi6+795oxAJatOg+6rZYNR4ffFxunotXtZJ6K53glUWK8fILpvJqsl1bQys48KW2NFo1JgmBoVp+Eb06iQKdiOeT3N4AItZGbFDxB5kjzWcUYE7D4qALB70xT+5BVPxiVnhrnfuJjWvVD1sykhEAVYD3SMnQgrjeSmhO0gYKXJxgmyS40KpXsu2N7bBrrB0YDNnvoZntkboAdPrj4/gL4hNdvZFi9CpFFpRWmfHtkUQNdNNFWg4k790H3ieSGDZfqmJGlUzKacQHxDj1iHaDNIY1Qo9VP2PavZmK5RyZr6iTMq/G/bfAKSNSpmk9U0jQr/cTeMSq+YqJTwZ6+8HDO1Mr7ywHH87a0PsuA6WhfXmm0EQRB1t+/yAGYyKlmDM3VfGYwKMW2Vkqcx6L2sE652GXSQs6V+6q0gxrzYIBqVEYGpUXEavvnRY6gKwiyFdUGlfmyMSicIOcwCFdNHxaWDyWT4RhOqj4Zv4ZjCCf7AET1Q0VI/bBJwClqZvcWqHPSxZV0o92yZxsd/9en44M9ckeMTxMEXLf5d2VM/yRvaoMEXJJd9PqBvSNycKsvmSZvyg0eX8OnvHAAA/OjFvQcqZSujwhpYOhiVasmH58VN0LJU/XDWz3w8D6J5Y1AbaJynWPrShiqrTsqc+jE2ClM3V7WkUoFkjYoZqKT5jvSDUekVe7ZM4zVPPwcAcPehRcZy+VqT1warGuva8G2iu0DFJablPYMmEnRXeRClcyhQ0U0bKcCdrJa0x2bzUfGt/x4WxJnWAZdGhVq+U16ba1QIpnDTBbqhbKmfTR168LDBqHAFiqtfRszwLWGhIrqwX6mfiFFZBgDVYXWl3owmksP3weahAnSvUQGAyzvW4b2AByq64Zt+ogGymY0NElHwlMyS8OHl1qjUyA49/I6fcvbGnvxT1JjU5hkdBKYT/HTO2DCJmVoZ52wJPXFMBiWLMy0PVGJNCTtPz6JRMVnApEB1slLCqbVm5mDW71QFmq0B6G/dRyV6XpJWJ8aosAoa6xjYj4fBqBBozVuuN7U1mt+39VZbS813A1NMm7nqx0sOVGoVvWFgT+XJSkxr16io1E/FSP0kMK2EojEqEqg4ENOosA2VV06WLCe5rIFKRaV+4l/DBsWoRCp3ep9LzpjHwmrDmWKKlScnBSp9ZlSiqp+Q6tw2O4GDC6uahb7WlJCVgJKHylTNZFS6D1T6AR4QzloYFU2jMmxGhS1ISeXJxEA0OxU29TwaFYPxuu4/Pr4vwmFa5ButtjoI8A3CvK9nJyq4+T8/Rz0mD6Nie6z5Gej9giBkqICk8mT9miRuAlUKVLJfs8lqKWZkR4EZfx3P81RDPVWmnVD1Z/qoFJlRAaK1cmmtxYTreld5ns7rllHpNvVD34kppqW0dq3sa6/Vm5iWWH7TRyV8/ZdefiZWGi1ced5m5bDbSGFaCcKojAhcGhVa2Am+JRe9I2OgUk1kVDqBSsdwiC+k//SrT0cA96YS16i4F6q1AWlUCDvmw0AlCICFlQ4tzsV/nbdtB4G1ISEfK2G9T3Qao2INVLjhW3/LvfOCt3NPM3YqdQKVbhkVAPiPl+zAFX1gUwCm+WEsR1KZOgCtus7VVNAGM+ix3f82T5K08mRC0iZAgZWtfDnpOSfQ0MYapZDi86WZwgKZxQHqYOay0O+x6qdfmFIVZ03NR4VKtlvtQAsSumZUJrqt+olrnzgmDDO2Xg6I9Nx2QB5eeurnp552Fn6qU2BxdDE8OIYHmHQfFc6iFIFRGX6oVFDQJIhOL52boh0Jtej3ZiCwLatGJanqp8NMRIxH9B5mF2UT3TAq/XJRNcuyuV6HBGUuw7dFl0bFbEq43ozKZPSZeOrHaqHPOl0PA5FGJV0gq9KZrWhTyxKobJqqwvPC57/l6ov6MWwAcbdkIFlMa8LcZJMZFf1z2u5/Po9oTGliWkLSdaRS+S3T2W3kJy2ncKVRcRjVJaV+YnYLxsHM9XhguL4aM6zizGz+SesCT7t07UzbZdWPqVEx33+iUsIke61+WOgDOoNqWx8p9bPWbKs1KquYVhiVAsN0q1T23gajUvLi1QZZGZUn7d6Af/z6w7h094bY78wNP08gkcnwzYj8+8WomLqZTdNVVEs+6q12lKdlEbqW+rE0JATik3m9I/x5R9WPtTw5ZcEfNFTqh/mouDZXbnoW0cHp4942N4H3vfwybJyqYs+W6X4MG0C8ZB5IFtOaMO/zpE3KDH6T+uEAEa3uYspIJJtmtQ8Af/SfnoS7DizgiWfMOR9jQhdg6lU/sWolT2emrC00mB4I4MUDrqqf6DWGmfqhgHCp3oqxQNWyj+V6S2NUuk39TFRKqJZ9dQ0zp34MjcrcRFl1k6fXmcwRfCeB7wlN3mfOsj7SPcKvTXYfFQlUCgtXr592O1BCPyAUrppr0raMgcrP/oez8RNPPsOqUZmfrKhcM5AvkDAfmbRQJXktdAOzEmlusoLJagn1lTZOrcYrIniu3CWmHbZGJU/qJ48fySCglScbVLAJYn2a7XyMCgC8+LIzeh1qDCYTAACTjKlI23RiupMkC/1Y6ieNUUnXck1VS1jo3OO2Pj+E87bO4LycnjN8czMZFVdZdVJzRm5mB6T3+unVQr9f4A0xzV5GdO/3g1EBwnlP9hD5NSrhtZ+brGiBiqlR6a3XT/TZmswa38Z4lRnTSsgqph1mYEoYfqhUUJgGSDynG0TfdSc3Gl3GmVo5tSMvh8uIrOR7moNhnlSCOTeTqN9I/NkfBqBS8jVTtPnJSjx/b+me3GoHTExbLI3KBkfVT1LqZ2gaFZuFvuN6KUaFeSsMK8ACuG7KzqikbTpxRiW96oeQVMILRKmfJKaEp3+yeqRkha2VgKvMmaZL0ncaVf2YvXHs17hXC/1+IRLTNmN6MLoOGqPSQ6Ayx+Z61u7JpkbFVuZsS+N1A7MBZVLqx7YeZdFRARKoFBrKDdZYFNqBzqiYVT9ZPVSygAtT85QPZ/FRiYkJ++ikytNWcxOV2CSvWTQq7SBQkzvWhK1Lw7d+gTvTpqZ+hqxRUcETt9B3jIU308zSUXXQoNMo11bY2i240FPVjy31Y2NUEl6TB9j9vke7YVSyGb6h83eKhT67FkNlVFjqp2FJ/QA6o9JLBpYzqRM523Ysdxp2xnsG+UZ5cvcD9DxPPb+uaVQsqR9jfa+W/cRKPb08efhhgqR+HLj2+Rfh2udfhEAZu0Wnz1jVj8cDlWxpnyzYNFXFDxAap+WpEMimUdH/308GYONUVXlspDEq3PBttWHPB5sn4/XeTLfN1sKePxNlbdKm9foZBrTmYyliWq0xH51Oh7gomdqKMFDJfvo0g8PEqh/jd3YxbfRvpVFJuD7dNBzMChuj4hLT8jJv/njtMezgFTCDPWd5MnuPoWpUOsEg912KpX46jIrv9WbbT4LaSsnLfPCgtYq2iBijUu4fowKEn73RamGlHjV0taV+zPu2lvJ5Sn4YBDVaQSEYFQlUUkA3Oj99UtUP3WN8IcgqpM0CfpLPI7qKlydbcpbGz/rJAGxk4tP5yQqmKvptZmNUWkG8vC4aa/SBSn72RaNf2DhdxYde81TMGl2uk7onD6vXT8TyRB2RU6t+2tm8FQaNssEElHtkVJKCxSyMii31k8Rs8tRPv0+hts2NxmwGRb5xHZMY1ZZRHOC00C8YowJEjf7oezarfnoNAijIMJ2Bk2DeR5PVkiqbBkKPk4k+lSer92sAi2sRi5Ql9ZOF8Zsol9BoNYVRGSXwDdXsI8ErCLIKabNgE2teleeEFmtKaHmqeaLsZ5UKT1nNT1YwkaRRUamf6NQaZ1SisQ1rI/3hx22N/cye+ikGo1JvtdFodipQUhkVZqE/xEXJtsHy02GamLY3jUr8sZ4l9ZM0DwfKqHRem7ME9PnM70xpfZruij4aXqsd9VUC4tVQBL4+DPOEXfI9TFR8rDbaKlChzZ6uA6WQbc1Y84BSP+b6lTY+jlo59E1xGb71uu7SGkTsEv8Zhy31k4Zax0G5VgBGZfih0ojAZvhGE4EvoDsGpFHJU/WThVExX66fC+smxgTNTVYwZdzovC8HvW27HWDVwahoLeYLUNNPoGtGhksAp9uHM04KkJqtNuqtZAEojbEojEpsg/U93RywjxoV87VcgWUeB2d+2u93wEebG7+vbBb6QDT/I2bKJqaNvnudUbFfB78AhwXCtNEAklguShNSF/aeGZWOviSPj4gZTFdKvuHyapYn94FRge58a0t3+b7e6iULS/KEXXOYrJRwzuapnsbYDwijkhF00mi3A3RkCBEFq4lp+6tRIeS5oeNW4PHHmKfNfnb7NRkVU6OiWegzCrrIjIoNpuFSyS9FVT9DYiZ4yXR2jQqz0B+mRiUmpvWtDSydz8/hTGtuKK7H+h7QQuTgnOQzwzegQVX98HHamhIC8TLvJGfqVmAwKinlydWS37Xba78wXSvj6FI9xqhQYHFsKSwp7tZDhUCMSlZXWsAWAPsx8zT+er0yr7QvLK5GgYoLlVKUgsoSSP/lq5+CpXor1k5gGCjOql9waIZvlPpRFCwLVBz9d7qBVvXTpY9KyY/3MAl/rv9/cFU/5VjVj9aWXon6oBgV8wRTFFdME/wkS0yKEtMOaTG3iWndPiqMfSkSo9Loj0YliVHxfU9r3uliSiK33CyMCtuA+l71E74e/0wRo2IPuupNt0CWM5mmgaUNNE+LMP/o4BMFKuHYNnecfqmRqyuNlRVKo5IjULFVKJqlvv0U09J3v9QR0yalaXj6J0ugUi75hQhSAAlUMkMzfOtMbJrTWqBSAEaF52az+CIA/a76CW/u6WoJ5ZJv5O713kjc8I1yy2Z5XVEZFR6oUOVPI6V53eDHFJ2ms/qocCfYYWpUSgYTUPI9a4WYC+Y1zxPYuO5/09Y/sSvyOvio8M23xFgODlU9RYyK1XU3YjIpuPY9t/svXasi9H0hLxVqyUEb8JaZMFChBny9MipnbJwEELU8yAJTF2MyKrWyb60c7BYUOPPUjws8eC7SOpoFkvrJiMjwra1Klk0/AwDYOlMAjQq7B52+CLGqh/7duJs714CqlvgJwpwgNIwWs4A2GRU9tzr8hZJQ8j34XsgGKUZl2L1+qPV7BpaE7o1lbqs9TEbFCJxiPio5xbRpwX3J91KrtGI9sRLmIWdUBqdRsTAqjtTPWkL1C6/4amaoVKPXKELfFwpUyM5AMSoz1HE+ZFR6TVE947wteP9PX47LztqQ+TnmelsteTFGxWeC4N4ZFV1Mm5b6IRRpHc0CCVQygk/slhGo0CKydbbW1wWKl/l2W/XjWtxjoq8+piou270B/+mKM7F3zyYAxknTsahmZlQKUCrHUSn5WGtG7IXyIxlS6ocCDe42m8aocIOsIjAqa1p5cg4flRwaFUCfA64ARLm8NtKrfgaqUanGNSrnb5vBjXc/FrPjjzEqCQ0XWxk8VPhrFqFUddpIJdOhgBgV6jjfK6Pi+x5e8KSduZ5ja/dR08S04b8nKyWsNto9M6903x5bCtklszkmRzln6qdIkEAlIxRVGsSrfi7cPotfeOYeXHLmfF/fU29hn0OjwgOVDG3bgf4yAJWSj//2skvV/3nqJxaEsNSPclaMaVSKO8GqnUBFpX7a6RvaIMFt/dO7J4c/J7Mo3+s9Z94L6L0bLkYlVUxr3tPZH5/OqKQ37+TtMPruTGup+rnumsfj5595LnYYujia/klNCUvs4BX1NXN/NvrcRTD/MtuO0KFgS4dRSeoaPWiY90elZGhUOuvfZKWE42j03LWevrPvPLIAIAxeXeD3ZNHW0TRIoJIRilFpRVU/FKj4voff+bGL+/6ecxMVlVrIx6hE/87SZAwYrKZiMoESp4BptdFWDRiTGJUinOg4zH4/Q0/9kI9KM/KZcKZ+SnrqZ9iLl8kEmIFKGpVv3tN5AhvX/W+KaYfmo2Kp+vF9Lxak8McoP5oEM7t2EER9zRLWAH8EGJXNRtp9GA4BpkalWjarfsJ/T1gYsm5An/3ug6cAABftmHU+lrOGw57reTFaox0i1AnEYvg2KPi+p7oR5/NR8az/Nl+bo9fIPglTSYFKZ3zcsCix6qdgE4wbrAHDN3yjoGRhtYnvHTyFSsnDxbvmrI+l60qpn2E2JAR4R++IveBBaxqraG60qY+3eJLExhQLVNyvOTVAH5U9W6dRKXk4d+t06mNNUXISo9JsZWRUCiSmnTIZlZLOqBB6Tf10A5OZMxkVWr+IWel1neDieQB4/E77XDfHVrR1NA3CqGQEp0pbqv/P4N9343QVR5fqfWdU4m3uBzep9dSPqSMI/6bN0vMsVQwFFdMC8X4/qlHa0Azf9Pd97TP24MyNdsMmpVGp24321humhX7J960uxi6YwXaeqh93eXL491qGYE4T0/Z5Pu2cn8SXf/tHMpWL0nXi19EET7nSvZulN1IRxLRmd3qaazO1MqplX33uYfi9xDQqJb0JIZUPR5qj3q6neT8mBSpcdD3suZ4XozXaIULr9dPWfVQGCSpRzuWjkkGjEu+LMrhbgVOfLkZlmW2WSU0Vi0ZZVmKpH3dJ6HqOBwjFhb/2I+c7HxtpVIrBqNjEtPz7zqM5CZ+fXvVDyOxMm/CaSSnOfmDb7ESmQN1M/diE3bw8uZUhuC4Uo2Kkfui78zxPq7ocBqOSR0wL9M/wDQjn+9aEUmoePI9aefJojXaIoA1Vs9Bfh4h9Y6ffTy5nWvZvZ5OxWKAySEbF3azNTP3YxHpFaTFvg5n6UT1zhrQQ8A3y2udfiNkJ9wmcFtXlRjE0KnEmwFNdXIH0jSevj0oWMa2Z+qmWhyOmzQP6WIkaFVX1A5X6GRVGZbpqpn6iMW1m6Z+hiGktB0CzPJn/3S/DNwB4/E63PiUcm4hpxx68L4pK/awHozLdq0bF/ph46me9NCp2oexKw51+8JlfSdEmWCz1M2RGZXaigtc+4xw0Wm289PIzEx9Li+pqQRgVW/dkIDx9NlrN1O8+r4mhnvpxabnM5yQwKpXBiWnzQAVXCRoV+rytdpsxKqOhUTGrfsoGi0gYRqBiuwdtYtonn7UBN959GBcnpGqygK/baa+lp36G/z3mgQQqGUHrU6sdqOqU9aAW92wJxXM7cjje6oZvjrJLs4xugJM60fCNTvV1ss+3T6CS76HdCgpHWcZTP8Ot+gGAt73wCZkeVzKu/bCvbWSqqJ/w33L1hbjvsSWctSm5OVreqh/OKroCC1uTORc0RqUAxnlJGhXeY4ucaZOu16aOPX1SamG9MFUzqn7Y59s8XSxGxbTQp4PY659zPl7z9HNiQVde8HX7ohRGRUv9FOzAlwYJVDJCY1TWMfXzqivPwcU75/HUPRszP0fTqGQW064Po2J6pNDwlin144j0yUW0CL1GOHgTQGD4vX7ygE6iKwVJ/bgCjZ+98pxMz8+rUeHv525KmJ2lSapuW09kYZZUeXI76vydtAa84mm7sXm6iudcuK2PI+0O8dRP9Pl4ifJ6MN4mzD2haumeTOg1SAH0wDlJSAtI6ue0AC9PjpxpB/++E5USnnnBllzP6abXz3r5qNQcfUlIJ+EKRMJJ1ka1VCzK0vRRaRSAUckKs+qnKIwKIY/JYfj4fFU/mpjWFajkEJ3Xyn6UoixA6odgb0oYrWdZypOnqmW85Mln9HGU3WPaZFTYtd5SMI1KzEelzwECrT/Vkh9zKDYxyr1+Rmu0QwTd9EEQmr4Bw1GVZwGfK5mbEg6wnJazJDFGhV1X87EcNN7iMiqGhf6QNCp5oKp+CsKomPMp70ZjBtvpPipco5Jcnux6Dw7P85RwvEiMitVHhRcHZChPLhJMRoV/vi0Fq/rhYtqy7/X9AEPrz/nbZlJ1UVqvn4Kto2kYrdEOEfwGpM3ILKMtCviJKntTwsF9Ft+PGnPFmxLq7+tmVKKTQ5HAe+vwv4ctTM0CU6My7OAq5pacM3jmz/e89NRsHmdaQtr9Rx4fwxQrmh/b6qOiUj/ZGJUiwdSoVDRGhaV+hjAFbYEKMSqDqFikOZuW9gH0w2jR1tE0SOonI/gNOMxeElnA11bXYm0uwINepKaqJaw0WrGTpjlfXAu8X1BGhTY4VZ7cdldaFA3KmbbT62fYjIp5r+adX3q5cfpztaaEKeXJ6nVTFvjX/8j5+PqDx1NLRQeJLHPb5qNS1PXMRMzwTdOoDDf1Y75nrRwZvg2iT9LVT9iBW+47ipc/dXfqYyustH7Ycz0vhjrac845B57naX/e+c53DnNITvDJrtT0I8yomO3iB80O0WQ1AxFzUXX5NBSVUTFTP6PIqBTFQj/OqHSvUcmySWVhVPKWPP/sfzgb7335ZUPVKGVhS+natoOo6mdYJfV5MVEuaYcxHmTqgcr6fwc2C32q2LT1ZeoVTzlnE/7115+Fp3U61SeBz++i+VGlYeiMyjve8Q687nWvU/+fnR3eSSQJfEOl0/OQXNJTwZcbZzVDhkW6n6CKCJczLcHFqEQalWKJac3Uz7B9VPIg2qzC/w/7lNVfRiX9s/DvyN3rR///sIO5LMgiSrYZWA5jY+8Gvu9hqlLCUj3e0XrTVBWeF2rehjEFzdujUvKwY34Kf/+6/4AzNkyu/4C0sYiPSteYnZ3Fjh07hj2MVPDJTm3oh1H+lgV8ocpSnjxIIS1BaVRiqZ/RZlTM1E9zyL1+8sDcmIZ9bXvtP5Wl3JhDYx5dYtocVT9FQVyUPF4aFSAs7bUFKuWSj41TVRxbqg8p9WPMqc56d+V5m9d9LCake3IPeOc734nNmzfjyU9+Mt797nej2WwmPn5tbQ0LCwvan/WA73vqxl9tFlujwoflTP1ok3vwnyNK/XTHqCiNSsEmmKvqJ8lqvSgwv/dhL17mfOql6ifLpmumP22Ia1SK/73GKpWs5cnh361g9DQqgO5BYh60qER5GAfJ9eyhlhd8LMOe63kxVEbl13/913H55Zdj06ZNuOWWW3DdddfhwIEDeM973uN8zvXXX4/f+73fW8dRRpidKOPEcgMnlhsAisuoZDF8y3Ka7CdmamHPmcmKqVHRH+diVKhnzfxUevfY9YRpoa+caUeCUclX0TJo5DVsM5FfoxI9Pqsz7bCvURZkSaGVmIHlaDIq0TpiBo+bp2sAFgshpi3S/aIFKgUaVxb0PVD57d/+bfzRH/1R4mPuuusuXHTRRXjTm96kfvakJz0J1WoVv/RLv4Trr78etZrdqvm6667TnrewsIDdu9MVz/3A/GQFJ5YbOL5UB1DcE0hew7f1cFF9zdPPQdn38COP150t4yp5O6Pyjhc9Ad946DievHvDoIbYFUwL/VHUqBAqQ2dU9P/nPQjkrvph7+f6vswhjMJmniWFppoStgO0Cl7FaANvdGoGmSSoXQ/ncBPmPTiMMbgwyj4qfQ9U3vzmN+M1r3lN4mPOPfdc68/37t2LZrOJBx54ABdeeKH1MbVazRnEDBrzk+Fp/thyGKgUlVHRDd8cJ8UMZlf9xDMv2GJ12DUnsotRuXT3BlxasCAFiHdPptNpkShfF4p2+jPv1Z40KhmeyxkYZ08sw5tlFDbzLMwU7102kowKc7s2x01eKsM2fCvaGiCMCsPWrVuxdevWrp57xx13wPd9bNs2/H4SNlCgQoxKUed1JsM3LqYd4uk/Xp48Wmp0Z/fkot4cDDa772GiV2da3/dUxUcWgbjelDAL8+gX1uSRI1vqhyq+Rq/qB9A1Kubno8aJwwgU+Jwa9nwyURaNSn7s27cPt912G57znOdgdnYW+/btwxvf+Eb8zM/8DDZu3DisYSVijgKV5WKnfjTDN8fCWpTI39yciiaWTYMr9VO005QNhav66dFHhZ7TaAWZ5maWKiGvIAF9HmQR09LPRpdRCbeuSinuAfXiy3bhzkdP4qf3nrXu48rSkXtYkO7JXaBWq+Ef/uEf8Pa3vx1ra2vYs2cP3vjGN2r6k6JBMSokpi3oxPaYk0oWC/1h6inMQ9yoMir1ETR8i1coDPd+7rXqBwjTHI1WK7fhm1tMy157BL5TIBszZfVRGZFADIhs9G1prTM3TuHPXnnFeg8JgMGoFOx6io9KF7j88stx6623DuvtuwIFKieIUSkoDcznrmvxyWuONSjEy5NHYzMg8NRPwDvRFmyRsiGmURny4mXGAd0yKkC261/KkCL1R5FRyVAiO+o+KmSjX7R5VhqR1M+orbOjNdohgwIVcvIs6rzOolEpygIcN3wbrUifp35owQfWx0SvV5iL/LA3YjMV1Y1mggLzLM/lQXwWw7dRYMmAfIxK6KMyulU/RftOyhlK3ocFLfVTsLGlYbRGO2RQoEIoauqHD8ulUdHNsQrEqIxY2Rw3fKO0D1C8k54NcUalWGLanhiVnBoVV5CmmSeOwHcKZNP60GdptzGSjMq0Sv0Ua8x8OEULVGg8RSubzoJiXcmCwwxUipr68XIyKkPVqBhvPWq50yhQCZROhf+8yIhV/Qx5zGa83M0Jn56T20I/Q3nyKHynQMaqH6VRaaPVGsGqn4IyKp4XOZgPO/A3QazhqKV9AAlUciEWqBQ0KtUM37KUXRao06vLR6WoKPPUjxaoFPPe4HD1JRkWzGChmwCaXiO3hb7T8I3NkxHZyM2PbpvfFMy0A2CtSZVqxb9nCYpRKeCYVaBSsCCKvt9hz/NuMHojHiLmJkYv9eNifbL0OVkPZO31U1RUeeqH9UwZBb+N4vX60f/fjaFiWWlUMohpM/QG0vyGRqB/E5BNo8Ifc+DkCgBg2+xwjDS7AfmoFI1RAaJrO+z5ZILWqqKNKwuG3j15lBDTqBR03covpi2ORmXUGBWa9GvN9kiZvQHFa6AWc6btIfWTyUI/wxzQNCqjwqhk0KjwIG3/sTBQ2bVhcrAD6yMuP2sj9u7ZhB+9ePuwhxIDXe+iMVQ75ifgecAZI/Q9EyRQyYHR0ahE/85moS9VP92CTnZLa82R8lABii+m7c5HJXvVT5bUD9/0i0bluxC7jgm9fgBg//FlAMDO+dHZwKZrZXzkl64c9jCsoOtdtHXgzI1T+Oc3PBPb5yaGPZTckEAlB2YnysqiGyhu6kfvnmx/TFF8VMzxjZrQi0R9S2stNNujles3v/dhb8TmbdhNAF3KoVHxM8yBoojO8yATo8J+tlxvARjNk3YRQdd72IG/DU88Y37YQ+gKxbuSBYbve5jlPSYKyqj4ORmVYW6sppZj9BiVcLxLa03Um2T2NhrTqmiMihksdFOFohiVTE0J0+dAlvRQ0WCmU61NCY3HTFdLmJuUc2s/QNd22IH/OEGuZE7MT0Xpn6IyKnmbEg419cPG4Xujo+8gkEPmUr0ZMSoj8hmKplGJMSqD1qiwN3SlmfiYRoUpy+Lwa/5s54bJkRCAjwIijYpsr/2CXMmc4DqVbqoS1gNaU0JXoFIQwze+QUxUSiO3WE51ApV2ACyuNgEIo9It+qFRoWAiyz1d0oKQ9NTPqGw8fMyeZ18DzJ+NkpC26CiNcBlwUSFXMid4oFLUdSsvozLc1E/071HTpwDAFEtVnVgJm1WOipahaBb6MR+VdWRUsjXvHI37U9efua8Df9yu+dETWBYVtLaOSmA7CpArmRNaoFLQ079m+JaB0h7mAmwyKqMG3/cwXQ3HfbzTrHJUjMHMTaxWGu7174czLQU7eTUqznlSkIA+D0oZPhegr1/CqPQPdM1HxXdnFDAaK2qBoKV+CqpF0MW09jEWpXkWXyxHMVABovTPieWQURmVBarwzrTdNCXMwaj4SkvgNujTApURCUCzjlljVCRQ6Rvovq0Jo9I3yJXMibmR0Kikn6i01M8QAy4+1lFM/QCRoHaBUj8jsqHFxbTDvZ/Ny9bNZYx8VLIzKknfl9ZkbkQC0CwtNABJ/QwKilGRQKVvkCuZE7pGpZgLl+6mOTqpn9qIMipUoqwYlRFMEfje8DUY8e7Jg2VU6P2SNEVF8RvKA/41Jl0H/ithVPqHojYlHGXIlcyJ0aj6SWdU9NRPMcqTR5VRmeqYvp1YCTUqo7Kh6T4iwx+zea92V/XT0ahkqvpJD2r4XBqVjSeLRs383Q5hVPoGYVT6D7mSOTEaVT/RvzOJaYeZ+mHjGFWNCqV+To5Y1Q+/N4qwCXuel4kNTEIeRoW+pyQmKSs7USRkZYEomNsyUx3ZuVdEKB+VAsypcYFcyZwYBUYlv+FbQcS0Izqxpw0x7ag4UvJNrChjLmcwYUt+fnaNCs2TJI3WKPqoZO3jRR9H0j79BYm0RUzbP8iVzIlRCFQ0wzfHGItioT8OGpUZQ6MyMoxKqViMCmBqpwbMqPjpjMoolidnSf0C0SFhp6R9+gq6T0ZFfD0KKMbqNEIYDTFt+omK0+zD1FTwOGpUGZWYRmVETlJF06gABtPXxfx66jmbMFHxcdlZG9LfSwUqY8aoZLyGdPIXRqW/+Mmn7MbTztmEZ5y3ZdhDGRtIF6qcGA0fFX6iSvZRaLeCwvT6qVVGYyMwQamf1cZo9fopmkYFMM3K8o/pJ5+6Gz9++RmZggolekycI9G/RyUA5cNMuoYUxOyal0Cln3jxZWfgxZedMexhjBVGY+YVCLMTo+BMG/07i4X2UA3fuDNtebRTP4SR2dAKyBZktX9PQtbPMtlxFKa/bdCqfkYk9ZM1XSWMimBUIIxKTpR8D7MTZZxabaKoB2e+uCbpaJSPREEM30a18oBSP4SibPpp8P0w/dcOisqoDPa+fOo5m/Arzz4Pz7rATdGPeq+fpGt43tYZPHh0GZecMb8ewxIIuoYEKl1gfrISBipFjVQQaj+CICX/XgBGBQgX01Y7GFkfFSpPJoyK6BII9Un1VrswFQrrGahUSj6uff5FiY/RnGkLco3S4Gdkpd7/05fjxEod22ZFTCsoNkZj5hUMpFMpauoHiJiUpMU+qnoY7ueg6ziqjMq0EaiMiuEbULwGaqWMFSvrhVGs+slq+FYt+xKkCEYCo7OiFgibZ2oAir2x0vqUFExFpZzDvQ1oiCMrpjU0DqOyoQFRsFoUHxVeMl0EgzW9jL8Y1ygNetXPaIxZIEiCpH66wG889wKcv3UGP3zh1mEPxYlQ+xEknqiU4dWwGZXOGEdVTBtjVEYoUKHAoCibcJEZlSIETlnQqxeNQFA0SKDSBa44eyOuOHvjsIeRCOWRkrBQTdfKwKm12Ea73qDNaWQZlZhGZXQ+h2JUCqIP0vUVwx8TH8+oWKL36kUjEBQNEqiMKZRGJSH18/YXPQHfeeQkLtoxu17DskJZTo8so2KmfkZjQwNYp9eCjLm8jmLaLNDEtAUInLJgPQXJAsF6QAKVMUUpg5j2hx+3FT/8uOGnr2iIE2PCqIzSKZZYi8IwKgVjA0ojKKb1RKMiGDNIoDKm+Jkrz8Y9h07h7M3Twx5KKkqjzqhUTY3K6GwO5aJpVDr3gucVw/lZb0dRjGuUBmFUBOMGCVTGFGn+EEWCr8qTR2MjMFHyPUxU/MhCf0RO3gBL/RSEUVEl8wXZYHmwVJT0WBr0zujFuI4CQS8YjZknGGtccsY85ibK2LOl+OyPC9z0bZTo9qKKaYvCBGjtKEZk09eqfgpyHQWCXiCMimDo+ItXPQVrzXZiz5WiY7pWxpHFsHvyaDEq4a5WlNQPbaxFMVMcSR+VHhs7CgRFg9zFgqHD972RDlIAXacyKhsaEAUGRWlfkMVReT3hjaCYVsqTBeOGYqxOAsGIg5coj0qKAOAdtIsxZuWWXJBgr4gdptPgiUZFMGYYjZknEBQc06OuUSnIJlwSjUrP0Do+F+Q6CgS9oBirk0Aw4uCBSlHYiSyImhIWYykoSdVPz9DbEIzGmAWCJMhdLBD0Abwx4aikCICIJSjKJlwuHKMyej4qUvUjGDeMxswTCAoOLfUzQozK47bPwvOAC7YPt40CgQKDomywPDYZFaZMDN8E4wYpTxYI+oCZ2mhW/bz1xy7GG55zPjbP1IY9FABF1KgwMe2IpFH8EaxUEgiSMBozTyAoOKaqXEw7OpuD53mFCVIArlEpxtJEm75fEEv/LPBFoyIYM8hdLBD0ATO10dSoFA1FY1Si8u3R+U6l6kcwbhid2ScQFBjTI5r6KRqydP1eTxA5MUrfqV71U4zrKBD0gtGZfQJBgaGlfkQX0DUKx6h4xTLEywKt6meExi0QuCCBikDQB2hiWtEFdI2i+qiMSmkyYKZ+RmfcAoELchcLBH3AqFroFw1FY1RImFoUn5ks8KXXj2DMMDqzTyAoMGZG1EelaIh6/RTjGu7ZMo3ZiTIu271h2EPJDF80KoIxg/ioCAR9wBQLVEbp9F00RN2Ti3ENN01X8ZX/76rCdJfOAi31U5CATyDoBRKoCAR9wIwmph2dTa1oKBdMowIAE5VS+oMKBK2RYkECPoGgF0igIhD0AXOTZTz7wq0IAr3vjyAfiqZRGUV4ngffA9qBXEfBeEACFYGgD/A8Dx9+7dOGPYyRh19ARmUU4Xse2kEg11EwFhBeUCAQFAZF6548qqCAryQaFcEYQAIVgUBQGPgFc6YdVZQK1oVaIOgFEqgIBILCQBiV/qBozR0Fgl4gd7FAICgMqGcS96UR5AfFeVKeLBgHyGogEAgKg5+4/AwsrTXxkiefMeyhjDR8YaYEYwQJVAQCQWGwYaqKX3vuBcMexshDNCqCcYKkfgQCgWDMMD9Z0f4WCEYZwqgIBALBmOE9L78MDxxZwtmbp4c9FIGgZ0igIhAIBGOGy3ZvGKlGigJBEiT1IxAIBAKBoLAYWKDyB3/wB3j605+OqakpbNiwwfqYhx56CC94wQswNTWFbdu24S1veQuazeaghiQQCAQCgWDEMLDUT71ex8te9jJceeWV+Mu//MvY71utFl7wghdgx44duOWWW3DgwAG86lWvQqVSwR/+4R8OalgCgUAgEAhGCF4QBMEg3+DDH/4wfvM3fxMnTpzQfv7pT38aP/ZjP4ZHH30U27dvBwB88IMfxLXXXovHHnsM1Wo10+svLCxgfn4eJ0+exNzcXL+HLxAIBAKBYADIun8PTaOyb98+XHLJJSpIAYCrr74aCwsLuPPOO53PW1tbw8LCgvZHIBAIBALBeGJogcrBgwe1IAWA+v/Bgwedz7v++usxPz+v/uzevXug4xQIBAKBQDA85ApUfvu3fxue5yX++d73vjeosQIArrvuOpw8eVL92b9//0DfTyAQCAQCwfCQS0z75je/Ga95zWsSH3Puuedmeq0dO3bg9ttv13526NAh9TsXarUaarVapvcQCAQCgUAw2sgVqGzduhVbt27tyxtfeeWV+IM/+AMcPnwY27ZtAwDccMMNmJubw8UXX9yX9xAIBAKBQDDaGFh58kMPPYRjx47hoYceQqvVwh133AEAOP/88zEzM4PnPe95uPjii/GzP/uzeNe73oWDBw/id37nd/D6179eGBOBQCAQCAQABlie/JrXvAZ//dd/Hfv5jTfeiGc/+9kAgAcffBC/8iu/gi984QuYnp7Gq1/9arzzne9EuZw9fpLyZIFAIBAIRg9Z9++B+6gMGhKoCAQCgUAweii8j4pAIBAIBAJBGka+ezIRQmL8JhAIBALB6ID27bTEzsgHKqdOnQIAMX4TCAQCgWAEcerUKczPzzt/P/IalXa7jUcffRSzs7PwPK+vr72wsIDdu3dj//79Y6l/GffPB4z/Zxz3zwfIZxwHjPvnA+QzdoMgCHDq1Cns2rULvu9Woow8o+L7Ps4888yBvsfc3NzY3njA+H8+YPw/47h/PkA+4zhg3D8fIJ8xL5KYFIKIaQUCgUAgEBQWEqgIBAKBQCAoLCRQSUCtVsPb3va2sXXKHffPB4z/Zxz3zwfIZxwHjPvnA+QzDhIjL6YVCAQCgUAwvhBGRSAQCAQCQWEhgYpAIBAIBILCQgIVgUAgEAgEhYUEKgKBQCAQCAoLCVQceP/7349zzjkHExMT2Lt3L26//fZhD6krXH/99XjqU5+K2dlZbNu2DS95yUtw9913a4959rOfDc/ztD+//Mu/PKQR58fb3/722Pgvuugi9fvV1VW8/vWvx+bNmzEzM4OXvvSlOHTo0BBHnB/nnHNO7DN6nofXv/71AEbvO7z55pvxwhe+ELt27YLnefjEJz6h/T4IArz1rW/Fzp07MTk5iauuugr33HOP9phjx47hla98Jebm5rBhwwb8/M//PBYXF9fxUyQj6TM2Gg1ce+21uOSSSzA9PY1du3bhVa96FR599FHtNWzf+zvf+c51/iRupH2Pr3nNa2Ljf/7zn689psjfY9rns81Jz/Pw7ne/Wz2m6N9hlj0iyxr60EMP4QUveAGmpqawbds2vOUtb0Gz2ezLGCVQseAjH/kI3vSmN+Ftb3sbvv71r+PSSy/F1VdfjcOHDw97aLlx00034fWvfz1uvfVW3HDDDWg0Gnje856HpaUl7XGve93rcODAAfXnXe9615BG3B2e8IQnaOP/0pe+pH73xje+Ef/8z/+Mj33sY7jpppvw6KOP4id+4ieGONr8+MpXvqJ9vhtuuAEA8LKXvUw9ZpS+w6WlJVx66aV4//vfb/39u971LvzxH/8xPvjBD+K2227D9PQ0rr76aqyurqrHvPKVr8Sdd96JG264Af/yL/+Cm2++Gb/4i7+4Xh8hFUmfcXl5GV//+tfxu7/7u/j617+Oj3/847j77rvxohe9KPbYd7zjHdr3+mu/9mvrMfxMSPseAeD5z3++Nv6///u/135f5O8x7fPxz3XgwAF86EMfgud5eOlLX6o9rsjfYZY9Im0NbbVaeMELXoB6vY5bbrkFf/3Xf40Pf/jDeOtb39qfQQaCGJ72tKcFr3/969X/W61WsGvXruD6668f4qj6g8OHDwcAgptuukn97Id/+IeD3/iN3xjeoHrE2972tuDSSy+1/u7EiRNBpVIJPvaxj6mf3XXXXQGAYN++fes0wv7jN37jN4LzzjsvaLfbQRCM9ncIIPinf/on9f92ux3s2LEjePe7361+duLEiaBWqwV///d/HwRBEHz3u98NAARf+cpX1GM+/elPB57nBY888si6jT0rzM9ow+233x4ACB588EH1s7PPPjt473vfO9jB9Qm2z/jqV786ePGLX+x8zih9j1m+wxe/+MXBj/zIj2g/G6XvMAjie0SWNfRTn/pU4Pt+cPDgQfWYD3zgA8Hc3FywtrbW85iEUTFQr9fxta99DVdddZX6me/7uOqqq7Bv374hjqw/OHnyJABg06ZN2s//7u/+Dlu2bMETn/hEXHfddVheXh7G8LrGPffcg127duHcc8/FK1/5Sjz00EMAgK997WtoNBra93nRRRfhrLPOGtnvs16v42//9m/xcz/3c1ojzlH/Dgn3338/Dh48qH1n8/Pz2Lt3r/rO9u3bhw0bNuApT3mKesxVV10F3/dx2223rfuY+4GTJ0/C8zxs2LBB+/k73/lObN68GU9+8pPx7ne/u290+nrhC1/4ArZt24YLL7wQv/Irv4KjR4+q343T93jo0CH867/+K37+538+9rtR+g7NPSLLGrpv3z5ccskl2L59u3rM1VdfjYWFBdx55509j2nkmxL2G0eOHEGr1dIuOABs374d3/ve94Y0qv6g3W7jN3/zN/GMZzwDT3ziE9XPf/qnfxpnn302du3ahW9961u49tprcffdd+PjH//4EEebHXv37sWHP/xhXHjhhThw4AB+7/d+D8961rPwne98BwcPHkS1Wo0t/tu3b8fBgweHM+Ae8YlPfAInTpzAa17zGvWzUf8OOeh7sc1B+t3Bgwexbds27fflchmbNm0aye91dXUV1157LV7xildozd5+/dd/HZdffjk2bdqEW265Bddddx0OHDiA97znPUMcbXY8//nPx0/8xE9gz549uO+++/Bf/st/wTXXXIN9+/ahVCqN1ff413/915idnY2llUfpO7TtEVnW0IMHD1rnK/2uV0igchrh9a9/Pb7zne9o+g0AWj74kksuwc6dO/Hc5z4X9913H84777z1HmZuXHPNNerfT3rSk7B3716cffbZ+OhHP4rJyckhjmww+Mu//Etcc8012LVrl/rZqH+HpzMajQZ+8id/EkEQ4AMf+ID2uze96U3q30960pNQrVbxS7/0S7j++utHwqr9p37qp9S/L7nkEjzpSU/Ceeedhy984Qt47nOfO8SR9R8f+tCH8MpXvhITExPaz0fpO3TtEcOGpH4MbNmyBaVSKaZoPnToEHbs2DGkUfWON7zhDfiXf/kX3HjjjTjzzDMTH7t3714AwL333rseQ+s7NmzYgMc97nG49957sWPHDtTrdZw4cUJ7zKh+nw8++CA++9nP4hd+4RcSHzfK3yF9L0lzcMeOHTFxe7PZxLFjx0bqe6Ug5cEHH8QNN9ygsSk27N27F81mEw888MD6DLDPOPfcc7FlyxZ1X47L9/jFL34Rd999d+q8BIr7Hbr2iCxr6I4dO6zzlX7XKyRQMVCtVnHFFVfgc5/7nPpZu93G5z73OVx55ZVDHFl3CIIAb3jDG/BP//RP+PznP489e/akPueOO+4AAOzcuXPAoxsMFhcXcd9992Hnzp244oorUKlUtO/z7rvvxkMPPTSS3+df/dVfYdu2bXjBC16Q+LhR/g737NmDHTt2aN/ZwsICbrvtNvWdXXnllThx4gS+9rWvqcd8/vOfR7vdVkFa0UFByj333IPPfvaz2Lx5c+pz7rjjDvi+H0uXjAoefvhhHD16VN2X4/A9AiHLecUVV+DSSy9NfWzRvsO0PSLLGnrllVfi29/+thZ0UuB98cUX92WQAgP/8A//ENRqteDDH/5w8N3vfjf4xV/8xWDDhg2aonlU8Cu/8ivB/Px88IUvfCE4cOCA+rO8vBwEQRDce++9wTve8Y7gq1/9anD//fcHn/zkJ4Nzzz03+KEf+qEhjzw73vzmNwdf+MIXgvvvvz/48pe/HFx11VXBli1bgsOHDwdBEAS//Mu/HJx11lnB5z//+eCrX/1qcOWVVwZXXnnlkEedH61WKzjrrLOCa6+9Vvv5KH6Hp06dCr7xjW8E3/jGNwIAwXve857gG9/4hqp4eec73xls2LAh+OQnPxl861vfCl784hcHe/bsCVZWVtRrPP/5zw+e/OQnB7fddlvwpS99KbjggguCV7ziFcP6SDEkfcZ6vR686EUvCs4888zgjjvu0OYmVUnccsstwXvf+97gjjvuCO67777gb//2b4OtW7cGr3rVq4b8ySIkfcZTp04Fv/VbvxXs27cvuP/++4PPfvazweWXXx5ccMEFwerqqnqNIn+PafdpEATByZMng6mpqeADH/hA7Pmj8B2m7RFBkL6GNpvN4IlPfGLwvOc9L7jjjjuCz3zmM8HWrVuD6667ri9jlEDFgT/5kz8JzjrrrKBarQZPe9rTgltvvXXYQ+oKAKx//uqv/ioIgiB46KGHgh/6oR8KNm3aFNRqteD8888P3vKWtwQnT54c7sBz4OUvf3mwc+fOoFqtBmeccUbw8pe/PLj33nvV71dWVoJf/dVfDTZu3BhMTU0FP/7jPx4cOHBgiCPuDv/2b/8WAAjuvvtu7eej+B3eeOON1vvy1a9+dRAEYYny7/7u7wbbt28ParVa8NznPjf2uY8ePRq84hWvCGZmZoK5ubngta99bXDq1KkhfBo7kj7j/fff75ybN954YxAEQfC1r30t2Lt3bzA/Px9MTEwEj3/844M//MM/1Db5YSPpMy4vLwfPe97zgq1btwaVSiU4++yzg9e97nWxA1+Rv8e0+zQIguDP//zPg8nJyeDEiROx54/Cd5i2RwRBtjX0gQceCK655ppgcnIy2LJlS/DmN785aDQafRmj1xmoQCAQCAQCQeEgGhWBQCAQCASFhQQqAoFAIBAICgsJVAQCgUAgEBQWEqgIBAKBQCAoLCRQEQgEAoFAUFhIoCIQCAQCgaCwkEBFIBAIBAJBYSGBikAgEAgEgsJCAhWBQCAQCASFhQQqAoFAIBAICgsJVAQCgUAgEBQWEqgIBAKBQCAoLP5/jaFKR4FSUg8AAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "track, zs = compute_dog_data(10, .2, 200)\n", + "P = np.diag([500., 49.])\n", + "f = pos_vel_filter(x=(0., 0.), R=3., Q=.02, P=P)\n", + "s = Saver(f)\n", + "xs, _, _, _ = f.batch_filter(zs, saver=s)\n", + "s.to_array()\n", + "plt.plot(s.y);" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "7f4e896b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from numpy.random import seed\n", + "count = 50\n", + "seed(8923)\n", + "\n", + "P = np.diag([500., 49.])\n", + "f = pos_vel_filter(x=(0., 0.), R=3., Q=.02, P=P)\n", + "track, zs = compute_dog_data(3., .02, count)\n", + "Xs, Covs, _, _ = f.batch_filter(zs)\n", + "Ms, Ps, _, _ = f.rts_smoother(Xs, Covs)\n", + "\n", + "book_plots.plot_measurements(zs)\n", + "plt.plot(Xs[:, 0], ls='--', label='Kalman Position')\n", + "plt.plot(Ms[:, 0], label='RTS Position')\n", + "plt.legend(loc=4);" + ] + }, { "cell_type": "code", "execution_count": null, - "id": "e6b03f7e", + "id": "961272d5", "metadata": {}, "outputs": [], "source": [] diff --git a/kalman_and_bayesian_filters/07-Kalman-Filter-Math.ipynb b/kalman_and_bayesian_filters/07-Kalman-Filter-Math.ipynb new file mode 100644 index 0000000..29274cf --- /dev/null +++ b/kalman_and_bayesian_filters/07-Kalman-Filter-Math.ipynb @@ -0,0 +1,616 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "b83e7166", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " \n", + " " + ], + "text/plain": [ + "" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%matplotlib inline\n", + "\n", + "import book_format\n", + "book_format.set_style()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "4c3e45c4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1. , 0.1],\n", + " [0. , 1. ]])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "from scipy.linalg import expm\n", + "\n", + "dt = 0.1\n", + "A = np.array([[0, 1], \n", + " [0, 0]])\n", + "expm(A*dt)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "c4c805ee", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}\\frac{\\Delta{t}^{5}}{20} & \\frac{\\Delta{t}^{4}}{8} & \\frac{\\Delta{t}^{3}}{6}\\\\\\frac{\\Delta{t}^{4}}{8} & \\frac{\\Delta{t}^{3}}{3} & \\frac{\\Delta{t}^{2}}{2}\\\\\\frac{\\Delta{t}^{3}}{6} & \\frac{\\Delta{t}^{2}}{2} & \\Delta{t}\\end{matrix}\\right] \\Phi_{s}$" + ], + "text/plain": [ + "⎡ 5 4 3⎤ \n", + "⎢\\Delta{t} \\Delta{t} \\Delta{t} ⎥ \n", + "⎢────────── ────────── ──────────⎥ \n", + "⎢ 20 8 6 ⎥ \n", + "⎢ ⎥ \n", + "⎢ 4 3 2⎥ \n", + "⎢\\Delta{t} \\Delta{t} \\Delta{t} ⎥ \n", + "⎢────────── ────────── ──────────⎥⋅\\Phiₛ\n", + "⎢ 8 3 2 ⎥ \n", + "⎢ ⎥ \n", + "⎢ 3 2 ⎥ \n", + "⎢\\Delta{t} \\Delta{t} ⎥ \n", + "⎢────────── ────────── \\Delta{t} ⎥ \n", + "⎣ 6 2 ⎦ " + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import sympy\n", + "from sympy import (init_printing, Matrix, MatMul, \n", + " integrate, symbols)\n", + "\n", + "init_printing(use_latex='mathjax')\n", + "dt, phi = symbols('\\Delta{t} \\Phi_s')\n", + "F_k = Matrix([[1, dt, dt**2/2],\n", + " [0, 1, dt],\n", + " [0, 0, 1]])\n", + "Q_c = Matrix([[0, 0, 0],\n", + " [0, 0, 0],\n", + " [0, 0, 1]])*phi\n", + "\n", + "Q = integrate(F_k * Q_c * F_k.T, (dt, 0, dt))\n", + "\n", + "# factor phi out of the matrix to make it more readable\n", + "Q = Q / phi\n", + "MatMul(Q, phi)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "e8bc777e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0th order discrete process noise\n" + ] + }, + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}\\Delta{t} \\Phi_{s}\\end{matrix}\\right]$" + ], + "text/plain": [ + "[\\Delta{t}⋅\\Phiₛ]" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "F_k = Matrix([[1]])\n", + "Q_c = Matrix([[phi]])\n", + "\n", + "print('0th order discrete process noise')\n", + "integrate(F_k*Q_c*F_k.T,(dt, 0, dt))" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "f2057bbe", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1st order discrete process noise\n" + ] + }, + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}\\frac{\\Delta{t}^{3}}{3} & \\frac{\\Delta{t}^{2}}{2}\\\\\\frac{\\Delta{t}^{2}}{2} & \\Delta{t}\\end{matrix}\\right] \\Phi_{s}$" + ], + "text/plain": [ + "⎡ 3 2⎤ \n", + "⎢\\Delta{t} \\Delta{t} ⎥ \n", + "⎢────────── ──────────⎥ \n", + "⎢ 3 2 ⎥ \n", + "⎢ ⎥⋅\\Phiₛ\n", + "⎢ 2 ⎥ \n", + "⎢\\Delta{t} ⎥ \n", + "⎢────────── \\Delta{t} ⎥ \n", + "⎣ 2 ⎦ " + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "F_k = Matrix([[1, dt],\n", + " [0, 1]])\n", + "Q_c = Matrix([[0, 0],\n", + " [0, 1]]) * phi\n", + "\n", + "Q = integrate(F_k * Q_c * F_k.T, (dt, 0, dt))\n", + "\n", + "print('1st order discrete process noise')\n", + "# factor phi out of the matrix to make it more readable\n", + "Q = Q / phi\n", + "MatMul(Q, phi)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "2336a603", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}\\frac{\\Delta{t}^{4}}{4} & \\frac{\\Delta{t}^{3}}{2}\\\\\\frac{\\Delta{t}^{3}}{2} & \\Delta{t}^{2}\\end{matrix}\\right] \\sigma^{2}_{v}$" + ], + "text/plain": [ + "⎡ 4 3⎤ \n", + "⎢\\Delta{t} \\Delta{t} ⎥ \n", + "⎢────────── ──────────⎥ \n", + "⎢ 4 2 ⎥ \n", + "⎢ ⎥⋅σ²ᵥ\n", + "⎢ 3 ⎥ \n", + "⎢\\Delta{t} 2⎥ \n", + "⎢────────── \\Delta{t} ⎥ \n", + "⎣ 2 ⎦ " + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "var = symbols('sigma^2_v')\n", + "v = Matrix([[dt**2 / 2], [dt]])\n", + "\n", + "Q = v * var * v.T\n", + "\n", + "# factor variance out of the matrix to make it more readable\n", + "Q = Q / var\n", + "MatMul(Q, var)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "e88a69fd", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}\\frac{\\Delta{t}^{4}}{4} & \\frac{\\Delta{t}^{3}}{2} & \\frac{\\Delta{t}^{2}}{2}\\\\\\frac{\\Delta{t}^{3}}{2} & \\Delta{t}^{2} & \\Delta{t}\\\\\\frac{\\Delta{t}^{2}}{2} & \\Delta{t} & 1\\end{matrix}\\right] \\sigma^{2}_{v}$" + ], + "text/plain": [ + "⎡ 4 3 2⎤ \n", + "⎢\\Delta{t} \\Delta{t} \\Delta{t} ⎥ \n", + "⎢────────── ────────── ──────────⎥ \n", + "⎢ 4 2 2 ⎥ \n", + "⎢ ⎥ \n", + "⎢ 3 ⎥ \n", + "⎢\\Delta{t} 2 ⎥ \n", + "⎢────────── \\Delta{t} \\Delta{t} ⎥⋅σ²ᵥ\n", + "⎢ 2 ⎥ \n", + "⎢ ⎥ \n", + "⎢ 2 ⎥ \n", + "⎢\\Delta{t} ⎥ \n", + "⎢────────── \\Delta{t} 1 ⎥ \n", + "⎣ 2 ⎦ " + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "var = symbols('sigma^2_v')\n", + "v = Matrix([[dt**2 / 2], [dt], [1]])\n", + "\n", + "Q = v * var * v.T\n", + "\n", + "# factor variance out of the matrix to make it more readable\n", + "Q = Q / var\n", + "MatMul(Q, var)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "883e080c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.333 0.5 ]\n", + " [0.5 1. ]]\n" + ] + } + ], + "source": [ + "from filterpy.common import Q_continuous_white_noise\n", + "from filterpy.common import Q_discrete_white_noise\n", + "\n", + "Q = Q_continuous_white_noise(dim=2, dt=1, spectral_density=1)\n", + "print(Q)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "ec1d5ddc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.05 0.125 0.167]\n", + " [0.125 0.333 0.5 ]\n", + " [0.167 0.5 1. ]]\n" + ] + } + ], + "source": [ + "Q = Q_continuous_white_noise(dim=3, dt=1, spectral_density=1)\n", + "print(Q)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "e8a44fa0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.25 0.5 ]\n", + " [0.5 1. ]]\n" + ] + } + ], + "source": [ + "Q = Q_discrete_white_noise(2, var=1.)\n", + "print(Q)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "6d148dad", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.25 0.5 0.5 ]\n", + " [0.5 1. 1. ]\n", + " [0.5 1. 1. ]]\n" + ] + } + ], + "source": [ + "Q = Q_discrete_white_noise(3, var=1.)\n", + "print(Q)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "4b54151d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.00000002 0.00000078 0.00002083]\n", + " [0.00000078 0.00004167 0.00125 ]\n", + " [0.00002083 0.00125 0.05 ]]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "np.set_printoptions(precision=8)\n", + "Q = Q_continuous_white_noise(\n", + " dim=3, dt=0.05, spectral_density=1)\n", + "print(Q)\n", + "np.set_printoptions(precision=3)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "d5c1dbf8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "t = np.linspace(-1, 1, 10)\n", + "plt.plot(t, np.exp(t))\n", + "t = np.linspace(-1, 1, 2)\n", + "plt.plot(t,t+1, ls='--', c='k');" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "8eafaade", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import kf_book.book_plots as book_plots\n", + "\n", + "t = np.linspace(-1, 2, 20)\n", + "plt.plot(t, np.exp(t))\n", + "t = np.linspace(0, 1, 2)\n", + "plt.plot([1, 2, 4], ls='--', c='k')\n", + "book_plots.set_labels(x='x', y='y');" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "4ebae2a9", + "metadata": {}, + "outputs": [], + "source": [ + "def euler(t, tmax, y, dx, step=1.):\n", + " ys = []\n", + " while t < tmax:\n", + " y = y + step*dx(t, y)\n", + " ys.append(y)\n", + " t +=step \n", + " return ys" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "d46c0458", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.0\n", + "4.0\n" + ] + } + ], + "source": [ + "def dx(t, y): return y\n", + "\n", + "print(euler(0, 1, 1, dx, step=1.)[-1])\n", + "print(euler(0, 2, 1, dx, step=1.)[-1])" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "8b1ef134", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ys = euler(0, 4, 1, dx, step=0.00001)\n", + "plt.subplot(1,2,1)\n", + "plt.title('Computed')\n", + "plt.plot(np.linspace(0, 4, len(ys)),ys)\n", + "plt.subplot(1,2,2)\n", + "t = np.linspace(0, 4, 20)\n", + "plt.title('Exact')\n", + "plt.plot(t, np.exp(t));" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "ada3be15", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "max error 0.00005\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def runge_kutta4(y, x, dx, f):\n", + " \"\"\"computes 4th order Runge-Kutta for dy/dx.\n", + " y is the initial value for y\n", + " x is the initial value for x\n", + " dx is the difference in x (e.g. the time step)\n", + " f is a callable function (y, x) that you supply \n", + " to compute dy/dx for the specified values.\n", + " \"\"\"\n", + " \n", + " k1 = dx * f(y, x)\n", + " k2 = dx * f(y + 0.5*k1, x + 0.5*dx)\n", + " k3 = dx * f(y + 0.5*k2, x + 0.5*dx)\n", + " k4 = dx * f(y + k3, x + dx)\n", + " \n", + " return y + (k1 + 2*k2 + 2*k3 + k4) / 6.\n", + "\n", + "import math\n", + "import numpy as np\n", + "t = 0.\n", + "y = 1.\n", + "dt = .1\n", + "\n", + "ys, ts = [], []\n", + "\n", + "def func(y,t):\n", + " return t*math.sqrt(y)\n", + "\n", + "while t <= 10:\n", + " y = runge_kutta4(y, t, dt, func)\n", + " t += dt\n", + " ys.append(y)\n", + " ts.append(t)\n", + "\n", + "exact = [(t**2 + 4)**2 / 16. for t in ts]\n", + "plt.plot(ts, ys)\n", + "plt.plot(ts, exact)\n", + "\n", + "error = np.array(exact) - np.array(ys)\n", + "print(f\"max error {max(error):.5f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1a1a5fa7", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/kalman_and_bayesian_filters/08-Designing-Kalman-Filters.ipynb b/kalman_and_bayesian_filters/08-Designing-Kalman-Filters.ipynb new file mode 100644 index 0000000..871c571 --- /dev/null +++ b/kalman_and_bayesian_filters/08-Designing-Kalman-Filters.ipynb @@ -0,0 +1,2109 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "f7a22ced", + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "\n", + "import book_format\n", + "book_format.set_style()\n", + "\n", + "from numpy.random import randn\n", + "\n", + "class PosSensor(object):\n", + " def __init__(self, pos=(0, 0), vel=(0, 0), noise_std=1.):\n", + " self.vel = vel\n", + " self.noise_std = noise_std\n", + " self.pos = [pos[0], pos[1]]\n", + " \n", + " def read(self):\n", + " self.pos[0] += self.vel[0]\n", + " self.pos[1] += self.vel[1]\n", + " \n", + " return [self.pos[0] + randn() * self.noise_std,\n", + " self.pos[1] + randn() * self.noise_std]" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "2629c588", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from kf_book.book_plots import plot_measurements\n", + "\n", + "pos, vel = (4, 3), (2, 1)\n", + "sensor = PosSensor(pos, vel, noise_std=1)\n", + "ps = np.array([sensor.read() for _ in range(50)])\n", + "plot_measurements(ps[:, 0], ps[:, 1]);" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "0a28c774", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0. 0.001 0. 0. ]\n", + " [0.001 0.001 0. 0. ]\n", + " [0. 0. 0. 0.001]\n", + " [0. 0. 0.001 0.001]]\n" + ] + } + ], + "source": [ + "from filterpy.kalman import KalmanFilter\n", + "\n", + "tracker = KalmanFilter(dim_x=4, dim_z=2)\n", + "dt = 1. # time step 1 second\n", + "\n", + "tracker.F = np.array([[1, dt, 0, 0],\n", + " [0, 1, 0, 0],\n", + " [0, 0, 1, dt],\n", + " [0, 0, 0, 1]])\n", + "\n", + "\n", + "from scipy.linalg import block_diag\n", + "from filterpy.common import Q_discrete_white_noise\n", + "\n", + "q = Q_discrete_white_noise(dim=2, dt=dt, var=0.001)\n", + "tracker.Q = block_diag(q, q)\n", + "print(tracker.Q)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "5c192ee6", + "metadata": {}, + "outputs": [], + "source": [ + "tracker.B" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "2a546873", + "metadata": {}, + "outputs": [], + "source": [ + "tracker.H = np.array([[1/0.3048, 0, 0, 0],\n", + " [0, 0, 1/0.3048, 0]])" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "0759fd9b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[5., 0.],\n", + " [0., 5.]])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tracker.R = np.array([[5., 0],\n", + " [0, 5]])\n", + "tracker.R" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "ea1bd4c0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tracker.x = np.array([[0, 0, 0, 0]]).T\n", + "tracker.P = np.eye(4) * 500.\n", + "\n", + "from filterpy.stats import plot_covariance_ellipse\n", + "from kf_book.book_plots import plot_filter\n", + "\n", + "R_std = 0.35\n", + "Q_std = 0.04\n", + "\n", + "def tracker1():\n", + " tracker = KalmanFilter(dim_x=4, dim_z=2)\n", + " dt = 1.0 # time step\n", + "\n", + " tracker.F = np.array([[1, dt, 0, 0],\n", + " [0, 1, 0, 0],\n", + " [0, 0, 1, dt],\n", + " [0, 0, 0, 1]])\n", + " tracker.u = 0.\n", + " tracker.H = np.array([[1/0.3048, 0, 0, 0],\n", + " [0, 0, 1/0.3048, 0]])\n", + "\n", + " tracker.R = np.eye(2) * R_std**2\n", + " q = Q_discrete_white_noise(dim=2, dt=dt, var=Q_std**2)\n", + " tracker.Q = block_diag(q, q)\n", + " tracker.x = np.array([[0, 0, 0, 0]]).T\n", + " tracker.P = np.eye(4) * 500.\n", + " return tracker\n", + "\n", + "# simulate robot movement\n", + "N = 30\n", + "sensor = PosSensor((0, 0), (2, .2), noise_std=R_std)\n", + "\n", + "zs = np.array([sensor.read() for _ in range(N)])\n", + "\n", + "# run filter\n", + "robot_tracker = tracker1()\n", + "mu, cov, _, _ = robot_tracker.batch_filter(zs)\n", + "\n", + "for x, P in zip(mu, cov):\n", + " # covariance of x and y\n", + " cov = np.array([[P[0, 0], P[2, 0]], \n", + " [P[0, 2], P[2, 2]]])\n", + " mean = (x[0, 0], x[2, 0])\n", + " plot_covariance_ellipse(mean, cov=cov, fc='g', std=3, alpha=0.5)\n", + " \n", + "#plot results\n", + "zs *= .3048 # convert to meters\n", + "plot_filter(mu[:, 0], mu[:, 2])\n", + "plot_measurements(zs[:, 0], zs[:, 1])\n", + "plt.legend(loc=2)\n", + "plt.xlim(0, 20);" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "94d5e00f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.007 0.003]\n", + " [0.003 0.003]]\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "c = robot_tracker.P[0:2, 0:2]\n", + "print(c)\n", + "plot_covariance_ellipse((0, 0), cov=c, fc='g', alpha=0.2)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "6c5b4460", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0., 0.],\n", + " [0., 0.]])" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "robot_tracker.P[2:4, 0:2]" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "665f7be9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kf_book.book_plots import plot_track\n", + "\n", + "class ConstantVelocityObject(object):\n", + " def __init__(self, x0=0, vel=1., noise_scale=0.06):\n", + " self.x = x0\n", + " self.vel = vel\n", + " self.noise_scale = noise_scale\n", + "\n", + " def update(self):\n", + " self.vel += randn() * self.noise_scale\n", + " self.x += self.vel\n", + " return (self.x, self.vel)\n", + "\n", + "def sense(x, noise_scale=1.):\n", + " return x[0] + randn()*noise_scale\n", + "\n", + "np.random.seed(124)\n", + "obj = ConstantVelocityObject()\n", + "\n", + "xs, zs = [], []\n", + "for i in range(50):\n", + " x = obj.update()\n", + " z = sense(x)\n", + " xs.append(x)\n", + " zs.append(z)\n", + "\n", + "xs = np.asarray(xs)\n", + "\n", + "plot_track(xs[:, 0])\n", + "plot_measurements(range(len(zs)), zs)\n", + "plt.legend(loc='best');" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "2019bce0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Q4j8aRUl7EtvsIiIiAmtra8LDw7Gyev20wkIIIYQQmSkoKIhKlSpx7969V9YZMGCAOkTmQ/ELj6XZr8cJjoqnSTFH5ncq9dolIq5evcpvv/3Gxo0b2bNnD2XLllXLfvzxR77//vtXHlurVi327Nmj01XzRZL3KsWLF+fo0aNYW6e9EHtERASPHj3C2NiYfPnyqUnkhyDPmiIrkJY+IYQQQohPhK2tLUePHqV+/fqpyszMzPjuu+9YsGDBB40hLjGZ/mvOExwVT0EHS2a0Lf7GNQFPnz7NggULCA4OZu3atTplEyZMYOXKlakWOLeysmL06NH8/fffqcbmDRs2jD/++AMPDw+d/UZGRvTo0YPDhw+nmfDdvn2bLl26YGtrS/HixSlQoAAeHh5MmzZN7RorxOdIWvqEEEIIIT5BN2/eZM+ePURGRuLq6kqrVq1e2bKVURRFYdTmy2y98IwcZobsHFIVl1xmanliYiK7d++matWq5M6dW90fFhaGvb09enp69OnTh19//TXVubVaLSdPnuTp06dYWVlRrVo1LCxeP0ZQq9Vy7NgxHjx4gLm5OTVq1Eg1scsLJ0+epEGDBkRGRqZZXrt2bXbv3q2ud5hR5FlTZAWS9AkhhBBCCAB+P/aASbtuoK+nYXWv8lTx/C+x8/b2pmfPnvj7+zNz5kxGjRqlc+yhQ4coW7ZspjxvxcTEkC9fPnVh+1y5ctGkSRP8/f05cOCAOnZw1KhRzJw5M0OvLc+aIiuQ7p1CCCGEENlIeEwidwIieRIaQ2h0AnGJybzNd/zH7wbz8983Afi6cSGdhA/Aw8NDTaqWLFmS6py1a9fOtKRnw4YNamzVq1fn4cOHrF69mn379nHs2DF1GYilS5cSFRWVKTEKkZkydZ0+IYQQQgjxbhRFITQ6gYchMTwKiU71MywmMdUx+noazI30MTc2wMxIHwtjA8yMDDA3frHPgD3X/EjWKtRxhnt/L2VPZDUaNWqknsPLy4t69ephaWlJv379UBTljWP9PpadO3eq29OmTVOXvgCoXLkynTt3ZsWKFURERHD06FEaN26cGWEKkWkk6RNCCCGE+ERFxiWy55o/D4OjeRQSw8OQlJ9R8UmvPc7KxICEZC1xiVoAkrUKEXFJRMS9/jhXrR/Lh/YF4Pz58zpJH8CePXs+6EyY6RUREaFuFypUKFV54cKF06wrxOdCkj4hhBBCiE9QeEwibRaf4E5g6u6IGg04WZvimsuMvLnNcLMxJ69Nyk/XXGaYG6c84iVrFaITkoiJTyY6IYno+CSi45NTfv7/+5iEZKLjk0lWFDqXr03lLVO4f/8+hw8fJigoSGfilE8x4QNwdnZWt/ft20fbtm11yvfu3atu58mT56PFJcSnQpI+IYQQQohPTFxiMn3XnONOYBS2lsY0KuqQkuDZmJM3txnOOc0wMUw7AUtOTiYyMhJzc3P09fSwMjHEysRQLddqtezfv58Vixbh4uKSaqbNr7/+mqCgIHr06PHKmTI/NV26dGH16tUADB8+HFtbW2rUqEFMTAwzZ87kwIEDALi7u1OlSpXMDFWITCGzdwohhBBCfEK0WoWhGy6y+4oflsYGbB5YiYIOb36GOXbsGLNnz2bnzp0kJiZiaWlJx44dGTlyJAUKFFDrRURE4OTkRHR0NBYWFvj6+uqMgcuKtFot1atX5/jx4+o+Ozs7IiIiiIuLU/ctX76cnj17Zui15VlTZAUye6cQQgghxCfk579vsvuKH4b6Gn7rWuatEr45c+ZQrVo1tm7dSmJiykQukZGRLFmyhJIlS+Lt7a3WtbKyonPnzgBYWlry/fffU6VKFQoUKEC1atX49ddfs9y4Nz09PbZt20aZMmXUfYGBgToJ348//pjhCZ8QWYW09AkhhBBCfCJerJMHMLdDSVqUfPP4s/3791O/fn31vb29PQULFuTUqVPEx8cDYGpqys2bN3FzcwPg1q1bbN++nVmzZhEcHJzqnA4ODuzevZvSpUtnxG19NAkJCWzcuJHff/8dHx8fTExMqFWrFoMHD/5g9yLPmiIrkKRPCCGEEOIT8PdVPwavu4CiwLiGBRlYM99bHVe/fn32798PwLhx45g0aRKGhobUrFmTI0eOqPXGjh3LtGnTAHj06BElS5YkLCxMLbewsNBZwy537txcvnwZJyenDLi77EueNUVWIN07hRBCCCEy2ZkHoQzfeAlFgW6V3BhQw+Otjnv+/Lma8Lm7u/Pzzz9jaJgyacvQoUN16m7atEndnj17tprwVatWjevXrxMZGcmVK1eoWLEiAMHBwakmeRFCZE2S9AkhhBBCZKK7gZH0XX2OhCQt9Qvb832zIm+96Pn69evV7cKFC6On99+jXfPmzTl//jxeXl4AhISEACmTnryY6dLExIQtW7ao69gVK1aMLVu2qInjypUr3/v+hBCZT5I+IYQQQohMEhARR/flZwmPTaS0aw7mdSyFvt7bJXwA/v7+6vbRo0dJTk5W3xsaGpInTx7u378PpHTXBIiKiuL58+cAVKxYMdWyDE5OTuqEKP7+/uq4QCFE1iVJnxBCCCFEJoiMS6TnirM8C4vFPbc5y7qXe+XaewBXr14lJiZGZ9+wYcPU1r3IyEjGjRunJmlhYWH06dOHpKQkANq3bw+ktO69OObBgwdotVqdcyYlJfHw4UMAjIyMMDIyev+bFUJkKkn6hBBCCCHeQUxMDKdOneLo0aP4+fml6xyJyVoG/XGBG34R5LYwYlXP8uQyTzu5unDhAnXr1qV48eKsWbNGp8zGxkbtqgkwa9Ys8uTJQ7Vq1ciTJw+7du0CwNzcnEGDBgEpiVydOnWAlAld5s+fr3POX375RW1BbNCgwVt3NRVCfLok6RNCCCGEeAsRERGMHDkSJycnKlWqRI0aNciTJw/NmjXj8uXLb30eRVEYt+UK/94JxsxIn+U9yuFqY/baYw4ePAikrMf3vy1znTt31plwJSQkhGPHjqmtgmZmZmzbtg0XFxe1zrBhw3S2q1atysiRI6lYsSLjxo1Ls54QIuuSJRuEEEIIId4gLCyMWrVqcenSpTTLzczM2LNnD9WrV09VFhUVxR9//MGBAweIiYkhsWADfAzzoa+nYVm3stQqaKfWvX79OgBFihTROUeNGjXw9fVl2LBh9O/fX51o5WWnTp1izpw5bN++nfj4eHLkyEHnzp0ZPnw4np6eqeqPGTOGmTNnvvKev/32WyZNmvTKcpFCnjVFViBJnxBCCCHEG/Tu3Zvly5cDYGxsTKtWrcidOzdbt27l2bNnANjZ2fHgwQPMzP5rtdu7dy+dOnUiNDQUAIsSDbFpOAQAj+CT7P71G0xNTfH19aVLly78888/tGjRgu3bt+tcPyAgAFtbW53ZOV9FURTi4+MxNjZ+bddMRVFYvXo106dP58aNG+r+YsWKMW7cODp37vx2/zifOXnWFFmBJH1CCCGEEK8RFBSEs7MzCQkJWFpacubMGQoWLAhAXFwcjRs35p9//gHg999/p1evXkBKy1uNGjVISEhAY2CMedHa5Ko3AI2ePmHH1hF+fB0tW7Zky5YtJCUl4e7uzrNnz9DT0+PevXvkzZv3o9yfoijcvHmTkJAQbG1tKVCggIzjewfyrCmyAhnTJ4QQQgjxGocPHyYhIQGAXr16qQkfpMyE+XIXyL1796rbX40fj8YuPzaNviTv8PXYNBiMRk8f57BLxJ3bAsC2bds4fvw4hoaGDBgwgPz58zN79mxsbGw+0t2BRqOhcOHCVKtWjYIFC0rCJ0Q2ZJDZAQghhBBCfMqio6PV7Xz58qUq9/DwULejoqJ4EhrDsoNXuePVGYcKjgBoAZccJvivH8/xK2d1uoAuW7aMqlWrMmbMGL7++uu36sIphBDvQv6qCCGEEEK8hpubm7q9c+fOVOU7d+5EY2iCedHa+BVqT7Xp/7DqfDCGOR3RxsfgQQCb+lfi6LjaVCqR0kr48np7t27dAlLGCkrCJ4T4EOQvixBCCCHEa1SvXl0dX7d//37GjBlDaGgoCQmJTPn9T37Ycw/nIWvI3WQkoQY2gBbb4Is8W9qfJ/O74Bl6ivLuudBoNAwZMoRixYoxbdo09fzGxsaZc2NCiM+GJH1CCCGEEK+hr6+vM25v5sxZ5K3fA49ha/jtjilGBaqjZ2SKUUI4o+t7UfLuWs79/h1Joc8gKYF169bx4MEDAMqXL8+lS5fU90CayzwIIURGkjF9QgghhBBv0KVLFwICAhg/eQa5Gg7DxK04ANr4aKJv/ksRswh2r5qPpaUlOf2as2PLJvXY6OhoSpcuTe/evXFxcWHr1q0cPXoUAENDQ/r165cp9ySE+HxI0ieEEEKIz1ZERARXr14lKSmJQoUKYWdnl2Y9RVHIW7M9nmGFiUnUosRHEf/PYpKeXWPOL7/QuXNndTxemzZt2Lp1K82aNWPq1Kncvn2bsLAwZs2aleq88+bNw8XF5YPeoxBCSPdOIYQQQnx2goKCGDBgAI6OjlStWpWaNWvi5OREmzZtuH37tk7d0OgEBv1xgVGbLxOTqKW0aw5aGl4m4PJhQoKDuX37ts4ELMbGxmzZsoUePXpw7NgxunTpgqGhoc458+fPz+bNmxkwYMBHuV8hxOdNFmcXQgghxGfFz8+PatWqce/evTTLc+TIwcGDByldujT/3Apk7JYrBEXGY6CnYUQ9L/pX9yDA3w93d3cSExOpU6cOBw4ceO01/f39OXr0KLGxsXh4eFClShWZqTObkGdNkRVI0ieEEEKIz0qzZs3YtWsXAObm5rRt2xZzc3M2b95MYGAgAB5ehWj38wZWbt9PxJmt5KtQj3VTRlA0j7V6noULF1K0aFGqVasmC5p/xuRZU2QFkvQJIYQQ4rNx9+5d8ufPD4C9vT1nz55Vx9RFRkZSq1YtrvpFk7vpSLRxUfivHglAqVKlOX/+nCR3IhV51hRZgUzkIoQQQojPxv79+9XtoUOH6kyiYmxqTqnuEwh6Aho9fYyTY7AuUpzb16/g5+fLs2fPcHZ2zoywhRDivUjSJ4QQQojPRnR0tLrt4eEBQEBAAJOm/cLfFx+irdANjR5EXTtEldzhdJ05DT8/Pzp16iSLqAshsixJ+oQQQgjxTrRaLRqNJkt2dcybN6+6/ddff9GkeQvyFypC5PMQ0DPAo3BD/A/+Tszt4+T//nsaNmyYecEKIUQGkWmjhBBCCPFGz58/5+eff8bT0xN9fX3Mzc1p1qyZTnfJzKLVavnzzz+pW7cuOXPmJGfOnNSpU4fNmzej1Wp16jZp0oRcuXKBRo+dVwOpPNkbTcE6AGhQeLZ6JDG3j6PRaOjatWtm3I4QQmQ4mchFCCGEEK919+5d6taty6NHj9IsHzlyJDNnzsyUlr+4uDjatWvHzp070yxv3Lgxf/75J6ampvj6+rJ06VKCjezZcicJIzt3AOKDHhK6cwYJQf/dX+/evVm2bNlHuQeRtcmzpsgKJOkTQgghxCslJCRQrFgxfHx8ANBoNJQoUQI/Pz8CAgLUeosWLcqUhcb79evH0qVL1feOjo5Aylp8L/Tq1YuyZcsyfMQIEuLjsWk6CositUiOiyLi5GYiL+xESUpQ67dv355Vq1bJGD7xVuRZU2QF0r1TCCGEEK+0detWNeErXLgwt2/f5uLFizx9+pS5c+eq9aZNm0ZycvJHje3Zs2csX74cAFNTU7Zs2cLTp0959uwZ27dvx8zMDIC1f+1n+91EEuLjAYg6u51+1d3Z3LUgXcraU7JYEYoVK0anTp04fPgw69evl4RPCJGtyEQuQgghhHilDRs2qNu//vqrusadgYEBX375Jbt372bfvn08fPiQM2fOUKlSpY8W2+bNm9VEc+TIkbRq1QpISQbLli3LwFHjWXEmAIvi9bitp49pvrIULVKEZTMnUjy/GwAVyyz4aPEKIURmkZY+IYQQQrzSy104q1evnqq8WrVq6nZgYOBHiekFX19fdbtWrVqEhoYyZMgQ8uXLR/MeQ9iRVArLkg3R6OnjpA3i0rGDnNmxUk34hBDicyFJnxBCCCFeycbGRt0+e/ZsqvJz586p27ly5fooMb2QM2dOdfvy5cskaDWsXPMH8fHxXDj4FzEhvsQ9uY7/2tE0tnqKl4OMtxJCfJ4k6RNCCCHEK7Vu3VrdHjZsmNrypygKGzZsYMeOHUDKBCoVK1b8qLHVrVsXAI2RGbO8r1P/11MYFG+CxtAEl+pt0Z5ZT8C6ccQ/u0WLFi0+amxCCPEpkdk7hRBCCPFKsbGxeHl58fTpUwBMTEyoVq0aT58+5ebNm2q96dOnM2bMmI8S08WLF/npp584feYstjW7EZSrKPomFgDoh/uSM+Acl3auIDkpEYB69eqxb9++jxKb+PzIs6bICmQiFyGEEEK8kqmpKTt37qRevXoEBwcTFxeXakH2rl27MmrUqI8W01dff8s+778BiAmKwNLJgoTgR4Sf2ETMrX9B+W9B9kKFCrFmzZqPFpsQQnyKpHunEEIIIV6rZMmSXLx4keHDh5MjRw51f4UKFVi7di0rV65ET+/DP1IERsQxadcNbjmkdOvUN89JnlwWzGxZkN6O/liG3lITPjs7O7755htOnjyJvb39B49NCCE+ZdK9UwghhBBvLTk5mefPn2NiYoKFhcUHu46iKOzZs4eff/6ZCVNmcizUgg1nn5CQ9P9JXchlfhjUmUYlXdFoNGpsz549AyBPnjzo6+t/sPiEeEGeNUVWIEmfEEIIIT6Y8JhEjt0N5tjdYKLjkzAx1MPEUD/lZaCH8f9vmxrqv1Smx797dvDDyP4AWBSsik2LrwAo65aToXXyUz1/bjXZEyIzybOmyApkTJ8QQgghMoxWq3DNN5wjt4M47BPExcfP0abj62UlyRY9sxxoY8KID3lKeRcLhjcsQiUPG0n2hBDiHUnSJ4QQQoj3EhwVz793gjhyO4ijd4IJjU7QKU8KfUrMvXMkRQSRy9aeshUqUbxUGRK1GoID/Dizex1GVjZ41mpLfKKWuKRk4hKTMWk2ABe7nPw8vBflPXJn0t0JIUTWJ907hRBCCPFOkpK1XHwSxpHbQRzxCeLqs3CdcgtjA4rZGXJ4wyKCrhwhOSIo1Tlq1qzJ2rVryZ8/P7Gxsdjb2/Pw4UNMTEw+1m0IkSHkWVNkBZL0CSGEEOKt3fCNoOfKMwRExOvsL+JkRQ0vW2p42VLMyYJiRQpz//59AMzNzWnQoAGhoaEcPnxYPWbIkCEEBASwefNmjIyM2L9/P9WrV/+YtyPEe5NnTZEVSPdOIYQQQrwV37BYNeHLYWZI9fwpSV41r9zYWf7XQrdlyxY14StZsiR79uzh2LFjHD58mJ9++ok6deoQFxfH8uXL2b17N56engwdOhRHR0f1HCEhIdy6dQt9fX2KFi36QWcKFUKI7C5T1+k7evQozZo1w8nJCY1Gw/bt23XKe/TogUaj0Xk1bNgwc4IVQgghPmMRcYn0WnmWgIh4vOwtODKmFvM6lqJ1GWedhA9gx44d6vbUqVPp27cvbdu2ZcGCBejr69OzZ08AYmJiCA4O5ueff1YTvnv37tGpUyccHR2pWrUqlSpVwsHBgUGDBhEcHPzxblgIIbKRTE36oqOjKVGiBAsWLHhlnYYNG+Ln56e+1q9f/xEjFEIIIURispZBay9wyz8SW0tjlvcoh7Wp4Svrh4WFqdvFihWjZcuW6vtNmzZRvHjxNOtevXqVChUqsH79ehITE9X90dHRLFq0iEqVKuHn55cxNyWEEJ+RTO3e2ahRIxo1avTaOsbGxjg4OHykiIQQQgjxMkVRGL/1KsfuBmNmpM+KHuVwzmmWql5YWBirV69m2bJllChRQt1/8OBBOnTowP79++nZsyf16tWjbdu2armTkxMAWq2Wdu3aERISAoCNjQ2tW7cmNjaWLVu2EBMTw927d+nbty+7du36wHcthBDZyyc/pu/w4cPY2dmRM2dOateuzeTJk7GxsXll/fj4eOLj/xtcHhER8THCFEIIITLN3bt3Wb9+Pb6+vuTIkYPmzZtTsWLFDFnPbt7Bu/x5/in6ehoWdCpN0TzWadabNWsWkydPBqB8+fLq/rFjx+Lm5sa6detITExk3rx5bNmyBQA7Ozvq1q0LwN69e7l16xYAJUqU4MiRI1hbp1xr8uTJVKhQAX9/f3bv3s2dO3fInz//e9+bEEJ8LjK1e+ebNGzYkNWrV3Pw4EGmTZvGkSNHaNSoEcnJya88ZsqUKVhbW6svFxeXjxixEEII8fHExMTQpUsX8ufPz4QJE1i8eDFTp06lcuXKVKlShcePH7/X+f88/5TZB3wA+LFFEWoVtAMgLi5Op/slQJ8+fdDTS3msiI2NpWbNmgD4+/tTo0YNXF1dsbOzY/jw4eoxX331FUZGRgDs2bNH3f/tt9+qCR+Aq6srQ4cOVd/v3bv3ve5LCCE+N5900tehQweaN29OsWLF+OKLL9i1axdnz57Vme75f40fP57w8HD19eTJk48XsBBCCPGRJCcn06pVK/744480y0+ePEmNGjUICkq9Rt7bOH43mK+2XAFgYM18dK7ghq+vL+PHj8fZ2Zk///xTp76bmxsLFy7k2rVr/PHHH2zevJmyZcuq5U+fPiU8/L/1/IYNG6aTAEZHR6vbnp6eqeJ5eV9UVFS67kkIIT5Xn3TS9788PDzInTs3d+/efWUdY2NjrKysdF5CCCFEdrN161a1xcvCwoIpU6Zw5swZfv/9d/LmzQvAw4cPmTp1aqpjExMT2bhxI40bN6Zo0aJUrFiRiRMn4uvrC8Bt/0gGrDlPklahWQknxtQvAMDNmzeZOnUqISEhLFy4MNV5+/fvT5EiRQDInTs3x44dY8WKFVSuXJmcOXNib29P27ZtOXz4MHPmzNHpfurm5qZupzVm7+V9L9cVQgjxZp/M4uwajYZt27bxxRdfvLLO06dPcXV1Zfv27TRv3vytzisLZgohhMiO6taty8GDB4GUJRJe/lx8/Pgx+fPnJyEhgZw5c+Lv7692o/T19aVJkyZcunQp1TlNTU35ddlqfn+Uk2chEZR0MGHT8PoYG+gDKZO6FC9enNu3b9OuXTuWL1+unvd93b9/H09PTxRFwdTUlAULFtC5c2cSEhKYP38+48ePB8Da2hpfX1/MzFJPJiNEZpBnTZEVZGpLX1RUFJcuXVI/eB48eMClS5d4/PgxUVFRjBkzhlOnTvHw4UMOHjxIixYt8PT0pEGDBpkZthBCCJHpLl++DIC9vT3NmjXTKXN1dVU/K58/f64OdUhISKBx48Y6CZ+xsbG6HZcM3/x9nxs7l+K3uBdWVzepCR+kfEG7cuVKHj9+zNq1azMs4YOU3jy9e/cGUsYE9urVC0tLS3LkyKEmfABff/21JHxCCPGOMjXpO3fuHKVKlaJUqVIAjBw5klKlSjFhwgT09fW5cuUKzZs3x8vLi969e1OmTBn+/fdfnQ8oIYQQ4nP0YtKUpKQktFptqvKXJ1p5UffPP/9Uk0U3Nzf2799PbGwsjx8/pn2Hjti2GIeRnQeRF3aSGB3G5o3rUy2IXqZMmQ+2lNL8+fNp166d+j4hIUFn8rYxY8YwZsyYD3JtIYTIzjJ1yYaaNWvyut6lMjuXEEIIkbby5cuza9cuQkJCWL9+PV26dFHLbt68yf79+4GUlsAXM1mvXLlSrfNirN3NmzcpVKgQbq3HYXruKdrEONA3wsAggVatWhEdHU3u3Lk/yj0ZGxuzYcMGBgwYwJIlS7h8+TL6+vpUqlSJgQMHql8SCyGEeDef/Dp9QgghhEhtwIAB6uQmvXr14uzZs9StW5crV64we/ZstYWsX79+GBikfNw/fPgQAHNzc/bt20e7du0wMzNj1O972XjuKSgKwX9NRxsTxpY3jLP/UDQaDbVq1aJWrVof/dpCCJFdSdInhBBCZEGNGzemQ4cObNiwQV30fN68eTp1ihUrxujRo9X35ubmQMr6fhcuXFC7bk5esAazApVx8P2XR3fPAODu7v6R7kQIIcSHlqWWbBBCCCFECo1Gw5o1axg1ahQmJiapylq2bMk///xDTEwMy5cvB6Bhw4ZAyiycyYoe+gaGWBSugUEOBxq4GXDmjxkA5MmTR116QQghRNb3ySzZ8KHINLpCCCGyu5CQELZu3Yqvry/W1tY0a9aMfPnyMX78eGbOnElSUhJXrlzBysqK/F4FMC5UC+sqHdHo6aNvngPr8Ltc/W0kipIyIczPP/+sM2OmEOLV5FlTZAXSvVMIIYTI4mxsbOjbt2+q/Xny5CEpKQmAhQsX8sWQ7yk+bhPBCSnLMCQ+9yP0wGIe3TqmHtOoUSOdLqFCCCGyPuneKYQQQmRx165dY9CgQTx//lxnf9euXfHw8KDnoOE8yFOX/mvOE5ygj4Uh5Ly/H99lA4n5/4TP0dGRSZMmsWPHDgwNDTPjNoQQQnwg0tInhBBCZGFz585l+PDhAOTLl49Ro0apZcEJ+tT9fiN7bwRAFJgY6tG7qjv9a+TDyqQJ9+9/yaNHj7CwsKBkyZKS7AkhRDYlY/qEEEKILOz27dsULFgQgBIlSnDp0iWCIuOZe9CH9WeekKxV0NNA2zIujKjnhYO1yRvOKIR4F/KsKbICaekTQgghsoAbN27w66+/8sUXX9CgQQN1f4ECBRg4cCCFChWiTYfOzDngw5Kj94lJSFmnr05BO8Y1KoiXvWVmhS6EECKTSdInhBBCvAVFUXj06BHh4eE4OTlha2v70a594sQJqlSpAsD9+/d1kj5ImaTl1P0Qmi+5QFBkPAAlnK0Z37gQFT1sPlqcQgghPk0ykYsQQgjxGoqisHz5cooXL467uzslS5bEzs6ORo0a8e+//36UGCpUqICHhweQkgC+WFT9hQM3Aui2/AxBkfG42ZixoFNptg+uIgmfEEIIQMb0CSGEEK+kKAoDBgxgyZIlaZbr6+uzatUqOnfunCHXe/ToEXPnzsXCwoIff/xRp2zNmjWEhobSo0cPrK2t1f3bLj5l9OYrJGsV6hW259eOpTAx1M+QeIQQbybPmiIrkKRPCCGEeIWVK1fSs2dP9X2FChUoXLgwhw4d4tGjRwAYGhpy48YNPD093+ta0dHRODo6EhkZiYWFBU+ePCFHjhyvPWbViYd8/9d1AFqVzsP01sUx0JdOPEJ8TPKsKbIC+WQQQggh0qAoCrNnz1bfr1y5klOnTrF8+XLu3r2rJoOJiYksXLjwva9nbm6uthgmJSVx5syZ18Y27+AdNeHrUTkvM9uUkIRPCCFEmqSlTwghRJYVFxfHpk2bOHToELGxseTPn5+ePXuSL1++9z7348ePcXNzA6BcuXKpkrCQkBAcHBxISkrC09OTO3fuvNV5Y2NjWb16Nd7e3mzduhWNRqOW+fj4sGHDBgYOHPjKiWK0WoXJu2+y/PgDAEbU9eLLOp465xFCfDzyrCmyApm9UwghRJZ08OBBOnXqRGBgoM7+n3/+mQEDBjB37tz3Wmw8PDxc3S5cuHCqchsbGxwcHHj69CkRERFvfd727duzc+dOALy9vWnUqJFa5uXlxYQJE155bFKylq+2XuXP808B+L5ZYXpWcX/rawshhPg8SdInhBAiyzl16hRNmjQhPj4+VZmiKCxatIiEhASWLVuW7ms4OTmh0WhQFIVDhw6RmJiok0TeuHGDp09Tki9nZ+e3Pm+vXr3UpO+ff/7RSfpeJy4xmS/XX2TfjQD09TTMaFOcVqXf/rpCiMyVnJxMYmJiZochshEjIyP09N6uW78kfUIIIbKcMWPGqAlf3bp1+eabb3B0dGTz5s1MmjSJhIQEfv/9d4YOHUqJEiXSdQ0bGxuaNGnCrl27ePLkCb169eKXX37B1taWa9eu0bVrV7Xuy9sAWq0Wb29v5s2bx/z583UmeWnWrBnDhg2ja9eulClT5q1iiYpPot/qc5y4F4KRgR7zO5aifhGHdN2XEOLjUhQFf39/wsLCMjsUkc3o6enh7u6OkZHRG+vKmD4hhBBZyq1btyhUqBAABQoU4OrVqzotcL/88gujRo0CYMiQIfz666/pvtbJkyepXr06SUlJQMoSDXZ2dvj5+al1nJ2duXbtms4yCvPnz2fo0KEADBs2jDlz5qQ7hufRCfRYcYbLT8MxN9JnafeyVM6XO93nE0JkrDc9a/r5+REWFoadnR1mZmYy/lZkCK1Wi6+vL4aGhri6ur7x90pa+oQQQmQpN27cULc7duyYatxe9+7d1aTv+vXr73WtSpUqsXbtWrp160ZCQgLJyck6CZ+Liwve3t46Cd+LuMaMGUNcXByHDx9Gq9W+dReckJAQduzYQWBgIIbWtuyKzMuD0Dhymhmysmd5SrjkeK97EkJ8PMnJyWrCZ2Njk9nhiGzG1tYWX19fkpKS3jiGXZI+IYQQWYqBwX8fXWlNoPLyBCzvM5HLC+3bt6d8+fLMX7SY7T5xJNoXxjg5lqKuuclvpWXQiDG0bN6MYYMHqMfY2NgwdepU8ubNS9OmTd8q4YuPj2fMmDEsWbKE+Ph4DHI4Yt9+EgY54jBOjmVV9/IUl4RPiCzlxRg+MzOzTI5EZEcvunUmJydL0ieEECJ7KV++PAYGBiQlJbFq1SrGjh2Lvb09kDJ2ZsaMGWrdKlWqZMg1QzTWXLJvRLJeNHpAInD60UO2Lx8CwInzV1kZ4kF+O0vy2VmQz9acEg074mlngUajm/AlaxUiYhMJi00kPDaRsJgEnkfHM2PuAm7cCcSschcsTC0wdS+LvkVOEkN9ebrxW4afL4K3t/dbjd0QQnxapEun+BDe5fdKkj4hhBAfxIMHDzh37hxarZYSJUpQsGDBDDmvg4MDrVu3ZuPGjYSEhFCqVCkGDhyoTuSyb98+IKWVr0+fPu91raj4JGZ432L1qUdotVpsLU0Z08CLJK3CvUB3FvxbksA7l9DGRxPk94znMXaceRiqcw5TQ32cc5oSm5hMeEwikfFJaV/MsRo5HKvp7LJWori37XuSIwL5559Ali1bxqBBg97rnoQQQnx+ZCIXIYQQGcrHx4fhw4ezZ88enf3VqlVj9uzZbz1j5es8e/aMSpUq8eTJEwAMrO0xzO1G3KNLKEkJACxcuJCBAwem+xr/3A7k6y1XeHjzEhHnd+KSw5jTB3ZjbfZfF5p//vkHf39/GjZtwbOIRO4GRqmve0FRPAyJJjE57Y9ZcyN9rE0NsTYz4t7NqzwPeIo2LoovGtendNGC2Foa07iYI+dPHadmzZoAFClShGvXrqX7noQQGe91z5pxcXE8ePAAd3d3TExMMinCjFWzZk1KliypTlCVN29ehg8fzvDhwzM1rs/Ru/x+SUufEEKIDHPz5k2qVq1KaGhoqrJ///2XatWqsX///vfudpknTx6OHz/OoEGDOHQ3DJtGw9AzMiU5Lgq9JxcY3Lg0A3q1S9e5Q6MTmLTrBtsuPkPRJhP611QSIkK4o6dHaMBTrN3/Wwy9Vq1a6nZOSyiaR3dCl8RkLY9DY/ANi8XMyIAcZoYpiZ6pIYb6Kd0+tVothoY10Wq15MuXj2VD5up02alRowalSpXi4sWLXL9+ncjISCwtLdN1b0II8bZ69OjBqlWrUu0/ffq0OoNyWjQaDdu2beOLL774gNGJdyVJnxBCiAzTs2dPNeFzdnamR48eGBkZsWbNGu7cuUNsbCxdunThzp07OhOypIe9Yx7K9pvK1eMPATDUaMHEAvJXZ+EdODDnKG3LuPBFqTzYWhq/8XyKovDnmftM3XefkOgE9DTQq7onSRbDmPj9BGxsbLh9+zbuLyV9b2Kor0c+Wwvy2Vq89rparRYAU1PTNMdovDwJRHJy8ltfXwgh3kfDhg1ZsWKFzj5bW1v09fU/+LUTExMzZDIukeLt5o8WQggh3uDs2bOcPn0aAC8vL65fv86kSZP47rvvuHr1KpUqVQLg4cOH/P333+91Lf/wODouPcWK/0/4BtXMx43JTfijTwW+KOmEsYEePgFR/PT3TSpNOUifVefYe92fxGRtmufbffAInpUa0qFOWYLCIihgb8nWQVX4tmlhBg8cwKpVq3j8+DENGzZ8pzgVReH+/fucPXuWx48fp1lHX1+fokWLAnDt2jXOnj2rU37z5k1OnDgBgKura6rlIYQQ4kMxNjbGwcFB51WnTp1XduXMmzcvAC1btkSj0ajvAXbs2EHp0qUxMTHBw8ODiRMnqmugQkoL4aJFi2jevDnm5ub89NNPH/DOPj/S0ieEECJDHD58WN0eNmyYztgWY2Njxo4dS8uWLQE4dOgQzZs3T9d1TtwL5sv1FwmOSsDSxIBZbUtQv4gDAFU8c1PFMzc/xiWy67Ifm88/4eLjMA7cDODAzQBszI34olQe2pZ1pqCDFVqtwrozjxkychLhVw4CUFm5xeqhLTEySPle1NbWlm7dur1TjIqisG7dOmbMmMHly5fV/ZUrV2b8+PE0bdpUp36/fv348ssvAWjatCkTJ06kSpUqnD17lu+//54Xw+/79esnswAKkYUpikJsYua01psa6n/wvx9nz57Fzs6OFStW0LBhQ7VF8N9//6Vbt27MmzePatWqce/ePfr16wfA999/rx7/ww8/MHXqVObMmfPevUGELvnXFEIIkSHi4+PVbTs7u1TlL5ZV+N+6b0tRFBYfuc+MvbfQKlDQwZLFXcqQN7d5qrpWJoZ0quBKpwqu3A2MZPO5p2y9+IygyHgW7zrJsn/tKe6cA2MDPc49eo5pySaEXzlIzlw21PSyURO+9FAUhbFjxzJz5sxUZSdOnKBZs2bMmjWLkSNHqvv79OnDypUruXDhAoGBgWlOQFOoUCGGDh2a7riEEJkvNjGZwhP2Zsq1b/zYADOjd3v037VrFxYW/3VPb9So0Wvr29raApAjRw4cHBzU/RMnTuSrr76ie/fuAHh4eDBp0iTGjh2rk/R16tSJnj17vlOM4u1kSPfO5ORkLl26xPPnzzPidEIIIbIgLy8vdXvjxo2pyjds2KBuFyhQ4J3OHRGXSL8155nmnZLwtS7tzLZBVdJM+P6Xp50l4xsXYnplA2yOTsf3tz4kPb3K1WfhKQmfoT4/9/uCrVu34fvsKQMGDHjjOV/nr7/+0kn4ypUrR//+/SlcuLC6b9SoUZw5c0Z9b2pqyr59+6hfv36a56xatSoHDx6UWaiFEB9VrVq1uHTpkvqaN29eus5z+fJlfvzxRywsLNRX37598fPzIyYmRq1XtmzZjApd/I90tfQNHz6cYsWK0bt3b5KTk6lRowYnTpzAzMyMXbt2qVNLCyGE+Hw0b96c3LlzExwczJ9//smXX37JsGHDMDIyYtmyZcyfPx9I6erZpUuXtz7vTb8IBq49z8OQGIz09fiheRE6lnd5525KAQH+XDh5FIAK8Rdp2rQDD4Kj6VfdA5dcZsDbT9DyOi+mMQeYO3eu2m1TURTGjx/PtGnT1LI//vhDrWtjY8PevXu5cOECGzduJCgoiFy5ctG2bVvKly8v3TqFyAZMDfW58WODTLv2uzI3N8fT0/O9rx0VFcXEiRNp1apVqrKXlxowN3/zF3kifdKV9P3555/qB/bOnTt58OABt27dYs2aNXzzzTccP348Q4MUQgjx6TMxMeGnn36if//+APz666/8+uuvqep99dVX5M6d+63OueX8U77ZfpW4RC15cpiyqEtpijvneO0xSUlJ/P3335QsWRJXV1d1f8uWLbG1tcXS0pJqVSrRq2rGJHkvi4qKUsc2enp66nTH1Gg0/PDDD/z222+EhYWxe/fuNM9RunRpSpcuneGxCSEyn0ajeecullmNoaFhqlmGS5cuze3btzMkgRTpk67uncHBwWo/3b///pu2bdvi5eVFr169uHr1aoYGKIQQIuvo168fs2bNSnMAvkajYdy4cTrjN14lPimZb7ZdZdTmy8QlaqnhZcuuoVXfmPAdO3aMvHnz0qJFCxYtWqRTZmxszMmTJ7lz5w4jRox4p/t6W9HR0eq2l5dXqtY5ExMTdTa7iIgIdYIWIYTILvLmzcvBgwfx9/dXh35NmDCB1atXM3HiRK5fv87NmzfZsGED3377bSZH+/lIV9Jnb2/PjRs3SE5Oxtvbm3r16gEQExPzUdbtEEII8ekaOXIkDx8+ZOLEiTRq1IgGDRowbtw47ty5w9SpU1/bTVFRFO4ERNJ28Un+OP0YjQaG183Pih7lyGlu9MZre3p6EhAQAMDy5ctJSEjQKc+XLx96eh9utaJcuXJhamoKwPHjx4mMjNQpf/r0qfrlqIvLu3dRFUKIT92sWbPYv38/Li4ulCpVCoAGDRqwa9cu9u3bR7ly5ahYsSKzZ8/Gzc0tk6P9fKSrfblnz560a9cOR0dHNBoNdevWBeD06dMULFgwQwMUQgiR9eTJk4cJEya8sV6yVuGmXwTnHoZy9uFzzj4MJTAyZWbPHGaGzGlfkpoFUs8EGhISwsqVK/Hw8FCXgQBwcHCgTZs2xMTE0L9//4/+RaShoSEdO3Zk+fLlhIeH06FDBxYuXIibmxu3bt2iV69earenF7PYCSHEp2jlypVp7n95eR5IWXv1Zc2aNaNZs2apjmvQoAENGrx6PKP0fPiwNEo6/4W3bNnC48ePadu2Lc7OzgCsWrWKHDly0KJFiwwN8n1ERERgbW1NeHi4zHomhBCZLC4xmYuPw1KSvEfPufDoOVHxSTp1lORE4h5dwfzmTvp1bs2gQYN0/n4/fPiQQoUKERcXR+nSpTl37pxOi5lWq/2grXlvcuvWLcqUKaMzI52trS1BQUHq+9y5c3P16lWdKc2FEFnT65414+LiePDgAe7u7joTlgiREd7l9+udk77ExEQaNmzI4sWLyZ8//3sF+jFI0ieEEJknKj6Jk/dCOPswlLMPQ7n2LJzEZN2PHQtjA/RCH/Lo/CHin1wnwf8OStJ/3TK9vLw4dOgQefLkAVK+DS5Xrhznz58H4MaNGxQqVOjj3dRbOHDgAK1btyYiIiJVmZ2dHX///TdlypTJhMiEEBlNkj6RWd7l9+udu3caGhpy5cqVdAcnhBAi69BqtWzfvp3ffvuNixcvotFoKFeuHAMGDKBJkyavHZN2LyiKzktP4x8Rp7PfztKYcu65KJ83F2Xz5mT1vKlMnz9VLc+fPz/W1tacO3cOAB8fH1q1asWpU6fQaDRoNBpGjx7NmTNnGDBggM76gJ+KunXrcvv2bZYuXcrWrVsJDQ3Fzs6Ojh070rNnT3LmzJnZIQohhPiMpKt754gRIzA2Nmbq1KlvrpzJpKVPCCHSJzY2lrZt275yaYF27dqxdu1aDA0NU5XdC4qi45JTBEbG42BlQq2CtpR1y0V591w45zRVk8XIyEjy5MlDZGQkBgYGbNq0iS+++ILk5GQcHBwICQlRz3no0CFq1ar1YW5WCCHSSVr6RGb5oC19kLIG0vLlyzlw4ABlypRJtZDiL7/8kp7TCiGE+IQMGjRIJ+GztbVFq9WqidimTZtwdHTUWYwc4P5LCV8Be0vW9a2AjYVxmtfw9vZWZ7js0aOHOimLgYEB/fr1Y8qUKWrdjRs3ZljSFxAQwD///EN0dDR58+alZs2aMvu0EEKIbCtdI92vXbtG6dKlsbS0xMfHh4sXL6qvS5cuZXCIQgghPraHDx+yatUqAMzMzNi6dSv+/v4EBASwdu1ajIxSlk9YtGiRzgQlD4Kj6bj0v4Tvj9ckfADbt29Xt8uWLatT1r9/f501nIKDg9/7vp4/f063bt1wcXGhY8eO9OnTh7p16+Lh4fHKmeqEEEKIrC5dLX3//PNPRschhBDiE7Jx40Z1+uxx48bpLIvQuXNnLly4wC+//EJCQgJ//vknAwcO5EFwNB2WnCQgIh4vewv+6FuB3K9J+AAeP36sbm/evJn+/fur793c3ChatKj63sbG5r3uKTw8nBo1aqjr5P1vHD179iQoKIgxY8a813WEEEKIT817zWl99+5d9u7dS2xsLCDrawghRHbx7NkzdfvFWqwve3mfr69vSgvfklNqwreub0WdhO/evXv88ssvqT4nXk6wDh8+zM6dO9U6Pj4+jB8/Xi1v167de93TDz/8oCZ81tbWjBo1igULFtCwYUO1zldffcXt27ff6zpCCCHEpyZdSV9ISAh16tTBy8uLxo0b4+fnB0Dv3r0ZNWpUhgYohBDi47O2tla3r127lqr85X2KRW46LjmFf0Qc+e1SJ3wjRozA09OTUaNGcfr0aZ3zNG3alJ49ewKQnJxM8+bNKVy4MJUqVaJgwYI8ePAAgDJlylC7du103090dDTLly8HwNjYmDNnzjBz5kwGDRrEnj17GDt2LJAyW+miRYvSfR0hhBDiU5SupG/EiBEYGhry+PFjzMzM1P3t27fH29s7w4ITQgiROVq0aKFu//TTTzx69Eh97+Pjw8yZMwEwyOGId3wBNeH7o0/qLp0lSpRQt18kXi/o6emxePFinevdunWLU6dOqS1+np6ebN269bXLQ7zJlStX1DXz2rRpk2qZh3HjxqnnP3r0aLqvI4QQ4t0dPnwYjUZDWFhYZoeSbaUr6du3bx/Tpk3D2dlZZ3/+/Pl1HgyEEEJkTWXLlqVq1apAyng3Ly8vWrRoQZMmTShSpAiBgYEY5HDArddsgmOSyWMQSangA1QuXVRnnB6kJFlly5Zl2rRpTJw4MdW1jIyM2LJlC6tWraJ8+fLqfjc3NyZNmsTZs2dxdXV9r/tJSPhvsfdcuXKlKreyssLAwCBVXSGE+Ny8WA/1Va8ffvghs0MU6ZCuiVyio6N1WvheCA0Nxdj49YP2hRBCZA3r16+nRo0a3L9/n4SEBP766y+1zCCHA87dZpJkaIGnnQVln59l2pTJAKxZs4ZvvvlGrWthYcHZs2dfey19fX26detGt27diI+PJykpCTMzs/dq3XuZl5cXGo0GRVHYsmUL06ZNw9TUVC3fvHkziYmJABQqVChDrimEEFnRi2FbkDKp14QJE3TGOltYWKjbiqKQnJysfmkmPl3paumrVq0aq1evVt9rNBq0Wi3Tp0+XhXOFECKbcHZ25vTp04wePVqndSyHoxv5es5EMc1BPltz1vWtwKC+vdRvgf+3pe9dGRsbY25unmEJH4CjoyNNmzYFUiaeadSoEUeOHOHJkycsXLiQAQMGqHX79u2bYdcVQoisxsHBQX1ZW1uj0WjU97du3cLS0pI9e/ZQpkwZjI2NOXbsGPfu3aNFixbY29tjYWFBuXLlOHDggM554+PjGTduHC4uLhgbG+Pp6cnvv/+eZgwxMTE0atSIKlWqSJfPDJKutHz69OnUqVOHc+fOkZCQwNixY7l+/TqhoaEcP348o2MUQgiRBq1Wy/Hjx/Hx8cHY2Jhq1arh5uaWodfInTs3M2bM4KeffmLlypX88OMk/J49Qv/2eUrUbs76fhWxszQBS1dWr15NzZo1U3X9/1RMnjyZQ4cOER0dzZEjR6hZs2aqOo0bN6ZevXofPzghhMhCvvrqK2bOnImHhwc5c+bkyZMnNG7cmJ9++gljY2NWr15Ns2bNuH37tto9v1u3bpw8eZJ58+ZRokQJHjx4kOb6q2FhYTRp0gQLCwv279+fZu9C8e7S1dJXtGhRfHx8qFq1Ki1atCA6OppWrVpx8eJF8uXLl9ExCiGE+B87duygUKFCVK9enT59+tC1a1fc3d354osvePr0aYZfz8jICFvX/Pg9Szl38u1/WN/3/xO+/9elS5dPNuEDKF68ON7e3jg4OKRZ3rJlSzZt2pShLYxCCJGWX375BWdnZ5ydnTl8+LBO2YMHD9SyoUOHpjq2efPmavn/WrlypVq2devWDxU+P/74I/Xq1SNfvnzkypWLEiVK0L9/f4oWLUr+/PmZNGkS+fLlU4cF+Pj4sGnTJpYvX07Lli3x8PCgTp06tG/fXue8/v7+1KhRA0dHR3bu3CkJXwZKV0vf48ePcXFx0Rmz8XLZ+w64F0II8WqrV6+me/fuqfYrisKOHTu4cOECJ0+eJE+ePO98bq1Wyz///MPKlSvp06cPNWrUAODSkzCmXUjGIJczVraOTBk3FDsrkzec7dNTtWpVHjx4wKZNm/D29iY6Opq8efPSvXt3SpcundnhCSE+ExEREep6qPHx8TplycnJatnz589THRsUFKSzlurLoqOj1bKYmJiMDFlH2bJldd5HRUXxww8/sHv3bvz8/EhKSiI2Nlbt7n/p0iX09fXVz5RXqVevHuXLl2fjxo3o6+t/sPg/R+lK+tzd3fHz88POzk5nf0hICO7u7iQnJ2dIcEIIIXQFBwfrjD+rWrUq7dq1IzAwkKVLlxIQEMCTJ08YMWIEmzZteufz79ixg1atWgEp47WrV6/O2tOP+XHndRKTFaqM+Z1Ng6pnyYTvBRMTE3XSGCGEyAxWVlbqF3P/Owmivr6+WpYzZ85Ux9ra2r7ySz1zc3O17EO2kpmbm+u8Hz16NPv372fmzJl4enpiampKmzZt1NmQX54463WaNGnCli1buHHjBsWKFcvwuD9n6Ur6FEVJs/tLVFQUJiZZ90FACCE+dcuXLyc2NhaArl27smrVKvXv8eDBgylWrBjBwcFs3boVX19fnJycXnmusLAwkpKSyJ07t7qvUaNG5MiRg7CwMA4eOsSI9efZfiUAgIZFHJjRtjiWJoYf8A6FECL7GzlyJCNHjkyzzN3d/bXd9F+eSfl/9ejRgx49erxveO/s+PHj9OjRg5YtWwIpOcHDhw/V8mLFiqHVajly5Ah169Z95XmmTp2KhYUFderU4fDhwxQuXPhDh/7ZeKek78Uvp0aj4bvvvtP5BiE5OZnTp09TsmTJDA1QCCHEf/799191e/z48TpfwDk4ONCzZ09mzJhBcnIyJ06coE2bNqnOcf/+fb755hu2bdvGiBEjmDJlilpmYmLClClTSDY0Z3uoA9uvBKCvp2FcwwL0reYh492EEEKkkj9/frZu3UqzZs3UPEGr1arlL7rR9+rVS53I5dGjRwQGBtKuXTudc82cOZPk5GRq167N4cOHKViw4Me+nWzpnSZyuXjxIhcvXkRRFK5evaq+v3jxIrdu3aJEiRKsXLnyrc939OhRmjVrhpOTExqNhu3bt+uUK4rChAkTcHR0xNTUlLp163Lnzp13CVkIIbKVlxcOT6vbz8tLK6S1yPiLL+g2bdpEfHw8y5cvT9Ul373aFyx+bMedkARyWxjzR58K9KueTxI+IYQQafrll1/ImTMnlStXplmzZjRo0CDVOOlFixbRpk0bBg0aRMGCBenbty/R0dFpnm/27Nm0a9eO2rVr4+Pj8zFuIdvTKIqivOtBPXv2ZO7cuVhZWb3Xxffs2cPx48cpU6YMrVq1Ytu2bXzxxRdq+bRp05gyZQqrVq3C3d2d7777jqtXr3Ljxo237kYaERGBtbU14eHh7x2vEEJktuHDhzN37lwg5dvQUaNGqWXJycmULl2aK1euAHDmzBmePHmCmZkZDRs2ZMeOHQwfPlynyw2kDMj//fffKVykKDP23ea3I/dT9rvlZEHn0thn4fF7Qgjxob3uWTMuLo4HDx7g7u4uQ6BEhnuX3690JX0v3L17l3v37lG9enVMTU1fOdbvbWg0Gp2kT1EUnJycGDVqFKNHjwYgPDwce3t7Vq5cSYcOHd7qvJL0CSGyk6tXr1K8eHEgZRmFiRMn0r59ewIDA/npp5/YuXMnACVKlMDX15egoCDKly/PyJEj6dixI6/6k29t70y1cSu4GpAyi1zvqu581agghvrpWtlHCCE+G5L0iczyLr9f6fo0Dw0NpU6dOnh5edG4cWP8/PwA6N27t863zu/jwYMH+Pv76wz2tLa2pkKFCpw8efKVx8XHxxMREaHzEkKI7KJYsWL06dMHSOm+OX78eDw8PKhYsaKa8BkYGDB79mx1BrczZ87Qu3dvNeGrWbMmy5cvZ+7cuRQoUADjPIWwaP0TVwPiMTfSZ0Gn0nzXtLAkfEIIIUQ2ka5P9OHDh2NoaMjjx491JnNp37493t7eGRKYv78/APb29jr77e3t1bK0TJkyBWtra/Xl4uKSIfEIIcSnYuHChfTr1y/Nshw5crBlyxZq1arFoEGDaNeuHV9++aU6bqJ169YcOnSInj17MnToUIYv3IFDp6kYWNqQEPyYqXVsaFLc8WPejhBCCCE+sHQlffv27WPatGk4Ozvr7M+fPz+PHj3KkMDSa/z48YSHh6uvJ0+eZGo8QgiR0QwNDfntt9+4evWq+sWbnp4eM2bM4PHjxzRv3hyAvn37snHjRsLDw9VjR44ciUajITo+iaHrLzJ1313Q0yf65lH8V4/k6Y1zmXJPQgghhPhw0pX0RUdHp7ngY2hoaKoFJtPLwcEBgICAAJ39AQEBallajI2NsbKy0nkJIURWpygKz54909lXtGhRBg8eDKQswlu8eHEsLS1THZuUlPT/WxqexhowzfsWDeYcZdcVPwz0NNTNFUbwX9NREuNeqiuEEEKI7CJdi7NXq1aN1atXM2nSJCBlEhatVsv06dOpVatWhgTm7u6Og4MDBw8eVNf+i4iI4PTp0wwcODBDriGEEG8SGRnJ7t278ff3J2fOnDRu3BhbW9uPGsPixYtZsGABgYGBPHnyBCMjI7VswIABeHl50aFDBywsLFIdG5eYjFXBSuRqkBNTz/KM3R8EBAFgb2XMrx1LMbxzM7V+sWLFPvj9CCGEEOLjSlfSN336dOrUqcO5c+dISEhg7NixXL9+ndDQUI4fP/7W54mKiuLu3bvq+wcPHnDp0iVy5cqFq6srw4cPZ/LkyeTPn19dssHJyUlnWQchhPgQkpOTmThxInPmzCEyMlLdb2RkRI8ePZg9e3aaPR4+hEOHDnHt2jUAdu7cSevWrdUyDw8PPDw8dOqHxSRw6FYg+64HcPROEDEJebEsmRcAbXwMzvrhtKtSkAKWiUz6soc6OVaBAgWoUaPGR7knIYQQQnw86Ur6ihYtyu3bt1mwYAGWlpZERUXRqlUrBg8ejKPj208AcO7cOZ2WwZEjRwLQvXt3Vq5cydixY4mOjqZfv36EhYVRtWpVvL29ZcpbIcQHpSgKPXv2ZM2aNanKEhISWLJkCTdv3mT//v0Z1qUdIDAwkL///psePXro7O/bty+bN2+mcuXKr+yy/iQ0hn03Ath/w5+zD5+TrP1vaQYHKxNyxj7l8Nq5xD2+yhNtEidn6R6vp6fH3LlzZQF2IYQQIhtK9zp9cXFxXLlyhcDAQLRarU7Zi0kEPgWyTp8Q4l3t3LlT/Tumr69Pjx49qFmzJpcuXWLRokXExMQAMGvWLPXLqvf17bffMm3aNJKSkjh37hxlypRRy7RaLbdu3aJw4cKpjrvuG87XW69y+Wm4zv6CDpbUK2xPvcL2FMtjDaTMbjxx4kQSEhJ06ubKlYvff/9delEIIUQ6yDp9IrO8y+9Xulr6vL296dq1K6GhoakW+tVoNCQnJ6fntEII8UlYuHChur18+XK6desGQJcuXWjdujWVK1dW640YMSJDWsfc3d3VSVSWLl2qk/Tp6emlSvi0WoXlxx8w3fs2Ccla9DRQLm8u6hdxoF4he1xtUnc9/frrr+nTpw9r1qzh2rVrGBgYUKVKFdq1a/fRuqoKIYQQ4uNLV0tf/vz5qV+/PhMmTEi1jt6nRlr6hBDvytramoiICOzt7Xn27Bn6+vo65VWrVlXHL/v7++v8HYyMjGTlypWsWbOGJ0+eYGlpSdOmTRk0aBAWFhb88ccfrFmzhl27duksexMREUHZsmVp3bo1PXr0oECBAq+MLygyntGbL3PEJ2VClrqF7JnSqhi2lhnX1VQIIcTb+RgtfdeuXWPXrl1ERkbi7OxM27ZtyZ079/uG/lo9evRg1apV9O/fn8WLF+uUDR48mIULF6pDskT6aDQatm3blu6eNh+8pS8gIICRI0d+8gmfECJruHnzJn///TeRkZG4uLjQunVrcuTIkWnxvGhxMzc3T5XwATrLIgRFxOKfEMazsFgu+jxi6R9biNGYYFCkK/rlcxD66DK/rtrI/Pnzadq0Kdu2bQNg7dq1fPXVV+p5rKysuH379htbDY/4BDFq02WCo+IxNtDj26aF6VLBVcbiCSFENuTr60v37t05cOCAzv4RI0YwZMgQpk6dioFBuh7n34qLiwsbNmxg9uzZmJqaAimJxrp163B1df1g180ICQkJOrNdf+7StU5fmzZtOHz4cAaHIoT43Pj5+dGwYUMKFy7M6NGjmThxIn369CFPnjx8++23mdZVvEiRIgDcv3+fY8eOER2fxM7Lvsw/dIehq09wyboKTn0W4TpqC01/v06LBccZ9McFlp4NAa+amOYrhzYhBj0DIyyK1MKpz0KsGwxj1+FT6jVu3LiR6rqvS9zik5KZvOsG3ZefITgqngL2lvw1pCpdK7pJwieEENlQcHAw1atXT5XwAcTHxzNr1ix69eqVaqhVRipdujQuLi5s3bpV3bd161ZcXV0pVaqUuk+r1TJlyhTc3d0xNTWlRIkS/Pnnn2p5cnIyvXv3VssLFCjA3Llzda51+PBhypcvj7m5OTly5KBKlSo8evQISGl1/N/WsOHDh1OzZk31fc2aNRkyZAjDhw8nd+7cNGjQAEhpJW3UqBEWFhbY29vTtWtXgoODdY4bOnQow4cPJ2fOnNjb27N06VKio6Pp2bMnlpaWeHp6smfPHp3rv815v/zyS8aOHUuuXLlwcHDghx9+UMvz5s0LQMuWLdFoNOr7y5cvU6tWLSwtLbGysqJMmTKcO3fuDf+l3ixdSd/8+fPZunUrPXr0YNasWcybN0/nJYQQb/Liw2zv3r2pymJiYvjpp58ybU3Ovn37AqBvkYv2P62jzMQ9DF1/kZn7fNh54znGeUthaOOCxsAYjSZlvTsnoziibxwhaOdMns3rQMC6r+jqEEBNz5xoNHqYF6mJY9/fcKrahn0nzrN69eq3judeUBStFp5g2bEHAHSr5MaOIVUo4JB6IXYhhBDZw+TJk7l37x4ATk5OzJ49G29vb0aMGIGhoSEAa9as4dChQx80jl69erFixQr1/fLly+nZs6dOnSlTprB69WoWL17M9evXGTFiBF26dOHIkSNASlLo7OzM5s2buXHjBhMmTODrr79m06ZNQEoPmy+++IIaNWpw5coVTp48Sb9+/d75S81Vq1ZhZGTE8ePHWbx4MWFhYdSuXZtSpUpx7tw5vL29CQgIoF27dqmOy507N2fOnGHo0KEMHDiQtm3bUrlyZS5cuED9+vXp2rWrOpHbu5zX3Nyc06dPM336dH788Uf2798PwNmzZwFYsWIFfn5+6vvOnTvj7OzM2bNnOX/+PF999ZX63/u9KOmwbNkyxcDAQLGwsFDc3NyUvHnzqi93d/f0nPKDCQ8PVwAlPDw8s0MRQrzkyy+/VAAFUBwdHZUZM2YoO3fuVAYOHKjo6+urZUePHv3osV16GKQU6DZZcR29TXEbt0txG7dLceq3RLFpPFyxrtpJMS9WT3EtV085ccVHiYqNUxRFUSpUqKDG/OLVpEkTRVEU5fLjUMWt80/qufKO26UMXXdBuRMQ8do4tFqtsuHMI6Xgt3sUt3G7lJIT9yr7r/t/8PsXQgjx9l73rBkbG6vcuHFDiY2NfadzxsbGKtbW1gqgmJiYKA8fPtQpX7ZsmfpZ06ZNm/eK/1W6d++utGjRQgkMDFSMjY2Vhw8fKg8fPlRMTEyUoKAgpUWLFkr37t2VuLg4xczMTDlx4oTO8b1791Y6duz4yvMPHjxYad26taIoihISEqIAyuHDh18by8uGDRum1KhRQ31fo0YNpVSpUjp1Jk2apNSvX19n35MnTxRAuX37tnpc1apV1fKkpCTF3Nxc6dq1q7rPz89PAZSTJ0+m+7yKoijlypVTxo0bp74HlG3btunUsbS0VFauXJnmv8P/epffr3R1Av7mm2+YOHEiX331FXp66WosFEJ8xmJjY9WB3yYmJpw8eRI3NzcAmjZtStGiRRk8eDAAixcvplq1ah88JkVROOwTxO//PuDY3WBwLIkGiHtyjYgz24i9dxaUlOVpvLy8KOhekIZVy7J+/XoaN27Ms2fPALC1tcXa2pqiRYvSoUMHAIq75KS+2UNWrlhGjsodMStQmb8u+7Lzii9NizvxZW1P8tvrttqFxyby9dar7L7qB0AVTxt+aVcSeyuZ8lsIIbK7u3fvEh6eshRP06ZN1c/IF7p168bw4cOJiopSW4g+FFtbW5o0acLKlStRFIUmTZroTCJz9+5dYmJiqFevns5xCQkJOl1AFyxYwPLly3n8+DGxsbEkJCRQsmRJIGXpoB49etCgQQPq1atH3bp1adeu3Tut/w3ozHwNKV0l//nnHywsLFLVvXfvHl5eXgAUL15c3a+vr4+NjQ3FihVT972YxyQwMDDd5wVwdHRUz/EqI0eOVGfarlu3Lm3btiVfvnyvPeZtpCvpS0hIoH379pLwCSHS5fbt20RERADQokWLVB9mvXv3ZvTo0cTGxnLmzJkPGktcYjI7Lj1j2b8PuBMYBYC+noZGRR3oU82DRH871q8PwN/fgxw5ctCqVSsiIyNp1aoVAFu2bKFx48bqjG0hISFcvnw51QfVjRs3SAx8QND2n9lz6irbfOLYez2AnZd92XXFlybFHPmyTn687C05+zCU4Rsu8SwsFgM9DaPqF6B/dQ/09GTsnhBCfA6Ul8bppTWhmEajUZ/DlQ84pu+FXr16MWTIECAleXtZVFTKZ+fu3bvJkyePTpmxccqs0hs2bGD06NHMmjWLSpUqYWlpyYwZMzh9+rRad8WKFXz55Zd4e3uzceNGvv32W/bv30/FihXR09NLdZ+JiYmp4jQ3N08VW7NmzZg2bVqqui9/Tv9v90mNRqOz70U30xdrk7/Pef93ffP/9cMPP9CpUyd2797Nnj17+P7779mwYQMtW7Z87XFvkq6kr3v37mzcuJGvv/76vS4uhPg8vfwHL61+6vr6+uqH2Yu6EXGJ3A+K5n5QFA+Co7kfFM29oCgCI+PJbWGEg7UpTtYmOFib4GRtmvIzhwkO1qZYGKf+UxcancCak49Yc+ohwVEpi5VbGBvQvpwLPavkxc7cAG9vb9avX88333xD0aJF1WNjY2MxNzfHwMBAncmzadOm3LhxA61Wy9ixY1m+fLl6b+vXr1eXeChUqBANyhehYQUNN3wjmHfwDt7X/dl1xY/dV/2o6G7D6QchaBVwszFjXodSlHDJkQH/6kIIIbIKT09PLC0tiYyMZOfOnfj6+uLk5KSWb9iwQf3ytHTp0h88noYNG5KQkIBGo1EnSHmhcOHCGBsb8/jxY2rUqJHm8cePH6dy5coMGjRI3fdivOLLSpUqRalSpRg/fjyVKlVi3bp1VKxYEVtbW65du6ZT99KlS28c61a6dGm2bNlC3rx5M3SW04w6r6GhYZqT1nl5eeHl5cWIESPo2LEjK1asyJykLzk5menTp7N3716KFy+e6h/8l19+ea+ghBDZm5eXF2ZmZsTExLB9+3YCAwOxs7MjMVnL49AYft+0C/0i9cmVyxlTrxKUnbxfTczSEhqdgE9A1CvLLY0NcPz/BNDJ2oQkrcLOy77EJ6UklI7WJvSskpcO5V2xMkn5e7Zw4UK1i6m7uzs///yzej5TU1OOHTtG4cKF1emgBw0axNy5c4mPj2ft2rUcOXKEOnXqcOvWLU6d+m/WzuHDh6vfGBZ2smJx1zLc9EtJ/vZc8+fk/RAAWpXOw48tiqaZsAohhMjeTE1N6datGwsWLCAmJoYqVarw1VdfUbhwYby9vZk1a5Zat3///h88Hn19fW7evKluv8zS0pLRo0czYsQItFotVatWJTw8nOPHj2NlZUX37t3Jnz8/q1evZu/evbi7u7NmzRrOnj2Lu7s7AA8ePGDJkiU0b94cJycnbt++zZ07d+jWrRsAtWvXZsaMGaxevZpKlSqxdu1arl27ptN9NC2DBw9m6dKldOzYUZ1F8+7du2zYsIFly5al2Yr6NjLqvHnz5uXgwYNUqVIFY2NjTExMGDNmDG3atMHd3Z2nT59y9uxZWrduna44X5aup4mrV6+q/8j/m3XL1OFCfHoeP37M0qVLOXHiBElJSRQrVoy+fftSokSJTInHwsKCTp06sWzZMqKioqhSozbFu//ApXBTkhUAS3LW6g1AFBD1/wmfnaUxHrbmeNhakMfSgIind9CLj8DYOjd2eQsSFJWIX3gsfuFx6s/IuCQi45OIDIhKlRgWzWNFn6ruOCT4kt8zh5rwAbRu3ZqhQ4ei1WrZt2+fTtIHqOMQXnBzc2PNmjV06tSJpKQknjx5kmrB2p49e6ozg76skKMVi7qkJH/rzzymgrsNTYq/2zgGIYQQ2ct3333Hzp07efz4MQ8fPmTAgAGp6rRp0yZVy9uH8r8Lz79s0qRJ2NraMmXKFO7fv0+OHDkoXbq02iuwf//+XLx4kfbt26PRaOjYsSODBg1Sl0EwMzPj1q1brFq1ipCQEBwdHRk8eLCa0DZo0IDvvvuOsWPHEhcXR69evejWrRtXr159bcxOTk4cP36ccePGUb9+feLj43Fzc6Nhw4bvNUwto847a9YsRo4cydKlS8mTJw8+Pj6EhITQrVs3AgICyJ07N61atWLixInpjvUFjfIxOgJnooiICKytrQkPD3/tL6sQ2dWcOXMYPXp0mt0H+vXrx4IFCz7owq6v8uzZM8qXL0+w1ozczcZgmCtlHIA2IZbE0GckhT4jv4M1Ywd2J5+tJe625lgYGxAfH893333H4sWLiYyMVM/n6OjI2LFjGTZsmM6XT1HxSfiHx+IbFod/eBy+4bFExiVRr7A9UfcvMnDgQO7evcu8efMYOnSoTozTpk2jaNGi1KtX760XeD158iQ//fQTf//9tzr+oEiRIgwfPpzevXvLF2NCCJHNvO5ZMy4ujgcPHuDu7o6JybtPxPXo0SM6derEiRMndPbr6+vTr18/5syZIwuQf8be5fdLkj4hsrEVK1bQq1ev19YZMmQIv/7660eK6D/JWoWft53h99MBoKdPUkQQIX/PIe7RZfT09OjTpw/z5s1TB4FDyqDtZs2apbm23wvDhg1jzpw5bxXD9evX1bF6lSpVSvWh+j6Cg4Px9fXFysoKNzdZQF0IIbKrD5n0vXDmzBl27dpFREQELi4udOjQIdWkKeLzI0nfSyTpE5+rxMRE3Nzc8PNLmfL/yy+/ZPTo0VhYWLBixQq++uorEhMT0Wg0PHjwINUMmh+SX3gsIzZe4tT9UADKORjg7P8vCZHPcXFxoVOnTri6uqY6bt68eQwbNgxIGfzctWtXSpYsyT///MO2bdvUeocOHaJWrVoAhIeH8+eff/LHH3/w5Zdf8sUXX+ics1SpUuTKlYtOnTrRq1cvSc6EEEK8k4+R9AmRlnf5/ZIZAoTIpry9vdWEr1mzZsydO1ctGzlyJOHh4fz4448oisKqVauYMGHCR4lrz1U/vtp6lfDYRMyM9PmheRHalnFGo3n9mARFUXSmifb29qZ27doADB06lF9//ZUvv/wSgPnz56tJ36lTp+jTpw+Qkgh7e3sTFBSEra0t7du35+TJk/JBLIQQQohsTRbaEyKbunPnjrrdpk2bVOUv77t79+4Hjyc6Pomxf15m4B8XCI9NpISzNbu/rEa7si5v1boWEBCAj48PkNIV80XC90K/fv3U5RMOHz6s7q9Tpw62trYAHDt2jN9++42tW7fy22+/Ubt2bapXr87Tp08z6C6FEEIIIT49kvQJkU2Zmpqq276+vqnKX973ct0P4fKTMJr+eoxN556i0cDgWvn4c2Bl3HObv/ng/xcfH69uv0jiXjh37hz58uVTJ3Z5uW5UVNRrJ6o5e/YsderUUdc7ykyPHz/m6NGjnDt3joSEVy9RIYQQImvJ5qOpRCZ5l98rSfqEyKZebgmbP38+gYGB6vv4+HidJQj+t9UsoyRrFRYevkvrRSd4EByNk7UJ6/tWZEyDghjqv9ufH0dHR7Ul78CBAwQFBallXl5eBAcHq+8LFCigbi9YsEDt5uru7s6GDRt49OgR69evJ2/evAD4+PiwcOHC9N7mezt+/Dh169bFzc2NGjVqUK5cOVxdXZk4caJOAiuEECJrebGWdUxMTCZHIrKjF18Qv826gDKRixDZWIMGDdi3bx8ANjY2dO3aFQsLC9atW8f9+/eBlLVmHjx4kOFTPvuGxTJy03+TtTQp7sjPXxTD2szwDUemLTExkRYtWqhr+pQuXZpp06apE7n06NFD/VCdP38+gwcPRlEU3N3defToERqNhps3b+okhDdu3KBo0aIoioKHhwf37t17z7t+d9u2baNdu3YkJSWlWV6nTh12796tM4upEEKIT8ebnjX9/PwICwvDzs4OMzMzmTBMZAitVouvry+Ghoa4urq+8fdKkj4hsrFHjx5RpUoVnj17lma5qakp3t7eVK9ePUOul5Ck5eqzME7eC2Hpvw/UyVomNi9CmzLO7/VBd+fOHby8vN5Yr1ixYpw+fRpTU1NiYmIwN0/pQlqxYkVOnjyZqn758uU5e/YskDIL1sdMrgICAvDw8FCT1Xz58tG0aVMePXrEX3/9hVarBeDbb79l0qRJHy0uIYQQb+9Nz5qKouDv709YWNjHD05ka3p6eri7u7/VF/cye6cQ2ZibmxsnT55kzJgxbNmyRac1qXbt2kyfPp0yZcqk+/zxSclceRrOqXshnH4QyvlHz4lN/G8R+BIuOZjbviR532HsHkBoaCghISHkz59f3Zc/f36qVq3KsWPH0NfXT3Ox+QoVKrB9+3Z1jOLL3R3CwsJQFEUn8VQURedD+G26R2SkZcuWqQlf27ZtWbdunTr+8MSJE1SvXp3k5GQWL17MN998I7OMCiFEFqTRaHB0dMTOzo7ExMTMDkdkI0ZGRujpvd1wGUn6hMjmXFxc2LBhA/7+/pw7d46kpCSKFi2Kp6fnO58rLjGZy0/COHU/lNMPQjj/6DnxSVqdOuYGChYx/ljGPKOEMWgjHCG3x1udPywsjP79+7N9+3Zq1qyZahH2H3/8kdjYWGrWrMmuXbvYtm0bYWFhODg40LlzZ2rXrq3zx8/Y2JgKFSpw+vRpbt26xa5du2jWrJlavn37dnWW00qVKr12wpcPwdvbW92ePn26zvUrV65Mq1at2Lx5M8HBwVy4cIHKlSt/1PiEEEJkHH19/Y/+5aIQL0j3TiHEKymKwqUnYRy+HcSp+yFcfBJGwv8kebktjKjgboOdJoLlU77i8bUzwH9/VjQaDX379uXXX399Y/cDrVZLvnz5ePjwIRqNhkePHuHi4vJe97B69Wq6d+8OpAyo79Gjh9rVc+XKlWrr59q1a+ncufN7XetdlSpVikuXLqGnp0diYmKqb+vGjx/P1KlTAdi7dy/169f/qPEJIYR4M3nWFFmBtPQJIVK5ExDJjku+/HXZl8ehujOO2VoaU9HDhgruuajokYt8thZcv36dSpWaERUVlepciqKwZMkS4uLiWLVqlbrvxIkT3L9/n65du6p19fT06NGjB/Pnz6dLly5v3WXhdTp37sy2bdvYvn07iYmJLF26lKVLl+rUadWqFR07dnzva72rvHnzcunSJbRaLXv27KFJkyZqmVarZdeuXep7Nze3jx6fEEIIIbIHaekTQgDw9HkMOy/78ddlX276/bdmnamhHlXcralZyJHKnra45zZPNSFLkyZN+Pvvv4GUCVO+++47XF1d2b59O5MnT1aXHTh16hTlypWjSpUqnDp1CisrK3x9fdXJViBlXT0jI6MMnU00MTGRb7/9loULF+okppaWlgwaNIhJkyap02p/TNu3b6dly5YA5MmTh99//5369esTEBDAN998w/Lly4FXT0IjhBAi88mzpsgKJOkT4jMWEhXP39f8+evSM84+fK7uN9TXkNc4hifHtuFzeAtKYjw5cuSgR48ejBkzBicnJ7XukydPcHNzQ1EUnJ2d8fHx0VnsfeHChQwePBiAXr168fvvv9O7d281oVm2bBm9e/f+KPcbERGBt7c3ISEh5M6dm4YNG6pr/2WGpKQkqlSpwpkzZ9R9pqamxMbGqu81Gg179uyhQYMGmRGiEEKIN5BnTZEVSPdOIT4zUfFJ7L/hz45Lvvx7J5hkbcr3PhoNVHS3oXFRO9ZPH8eeHX/qHBcWFsacOXNYv349hw4donDhwkDKWncvvjtq3769mvAlJiayY8cOnRaqq1evAjBo0CCuX7/O4MGDadu27Qe/5xesrKxo167dR7vemxgYGLBz506aNm2qLhvxcsJnZGTE0qVLJeETQgghxHuRpE+Iz4SiKEz1vsWqEw+JS/xvMpbiztY0L+FE0+JOOFibMH78eJ2Er0yZMtja2nL48GHi4uIICAigefPm3Lx5E0NDQ50ZJ6Ojo9Xtjh07smXLFp0YXtQtU6YMp06d+lC3mqXY2dlx/PhxduzYwYoVK7h//z7m5ubUr1+fAQMG4OrqmtkhCiGEECKLk+6dQnwmVp14yPd/XQfAI7c5zUs60byEEx62Fmqd6OhonJyciIiIUFuhGjZsCICfnx8NGzbkypUrAGzevJk2bdoQGhqKk5MT8fHxWFlZcfPmTZycnNi0aRPt27fXiWHUqFHMnDnzI92xEEII8eHJs6bICt5/ajwhxCfvwuPnTN59A4CvGxfk4KgaDK/rpZPwAfzzzz9ERKRM4tKlSxc14QNwdHRkxowZ6vstW7aQnJzM0aNHyZUrF5DywVe2bFl++uknYmJidFqp9PT06N+//we7RyGEEEIIkTbp3ilENhcancCQPy6QmKzQqKgDfat5pJp9U60bGqpulypVKlV56dKlderOmTOH0aNHAynj5SIiIvDz8+Pbb79NdezkyZPJnz//+96OEEIIIYR4R9LSJ0Q2ptUqDN94Cd/wONxzmzO9TfFXJnwADg4O6vbRo0dTlR85ckSnbpcuXdSlFTw9PWnUqFGqY+zs7Fi0aBHjx49/n1sRQgghhBDpJC19QmQARVHYv38/S5cu5caNGxgZGVG9enUGDBhAoUKFMi2uXw/d5ahPECaGeizqUhpLk9evRVezZk3s7OwIDAxky5YtLF68mN69e3Ps2DEmTpzItWvX1LqdOnXC3t6eqVOnUrBgQRo0aICenh53797lwIEDxMbG4u7uTuPGjTN0zT0hhBBCCPFuZCIXId5TdHQ07dq1Uxcnf5lGo+Gnn37KsFYurVbLjh07WLx4MWfPnkVRFMqUKUP//v1p3bo1enr/Nd7/eyeIbsvPoCgws20J2pRxfqtrzJw5kzFjxqjvc+bMyfPnz3XqlClThjNnzuhcTwghhPgcybOmyAok6RPiPbVp00ZnaQIjIyMSExN5+X+tjFiAPD4+ng4dOrB9+/Y0yxs1asSWLVswNTXFNyyWpr8eIzQ6gY7lXZjSqvhbX0dRFIYMGcLChQvTLPf09OTw4cPkyZMnPbchhBBCZCvyrCmyAvmaXoj3cOnSJTXhs7KyYv369URHRxMSEqLTuvfDDz+QlJT0XtcaMWKETsJnb2+vMwZvz549DB48mIQkLUPWXSA0OoEiTlZ836zIW53/zp07DB48mP79+zN//ny8vb1p2rQpFhYW6Ovr4+Liwi+//MLFixcl4RNCCCGEyEKkpU+I9zBixAjmzJkDwPz58xk8eLBOeZMmTdRun3v37qV+/frpuo6fnx+urq4kJSVhYmLCmjVraNWqFRqNhr/++ovOnTsTHR2Nnp4eI9Yc588rIViaGLB7aDVcbczeeP7ExEScnZ0JDAzEwMCA+/fv4+Likq5YhRBCiM+JPGuKrEBa+oR4Dw8fPlS3mzVrlqr85X0v131Xf/75p9pSOHz4cNq0aYOenh4ajYYWLVqoY/BM8lfizyshAPzSruRbJXwAhoaGDBgwAABjY2MuXLiQ7liFEEIIIcSnRZI+Id6Dubm5un3v3r1U5S/vs7CwSFX+tnx9fdXt2rVrpyqvXbs2BrnyYNNoGAD9a3hQr7B9qnphYWHMmDGD8uXLEx8fr1M2aNAgpk6dypMnT2jRokW6YxVCCCGEEJ8WSfqEeA8vr0s3YcIEYmJi1Pc+Pj4sXboUSGlJSytZe1s5cuRQty9fvpyq/OzFK9h+MR49YzPs9SIZU79AmucZOHAgY8eO5ezZs2zYsEGnzN7ennHjxpEzZ850xymEEEIIIT49kvQJ8R7atGmDk5MTAMeOHcPT05MhQ4bQuXNnihcvTnh4OADt27fXmXTlXb3c8jZjxgxu3bqlvr979y5z/vXDyDYvyVHPmdIsPwb6af+vPXToUCBlKYmrV6+mOx4hhBBCCJF1yEQuQrynEydO0KBBA6KiotIsL1q0KEeOHCFXrlzvdZ2mTZuye/duAPT19albty56enoc99eQs/4gFG0yeXy2cHzbSg4dOsSMGTP4+eefKV26tM55pk+fzhdffIGXl9d7xSOEEEIIedYUWYMkfUJkgGvXrvHdd9/x119/odVqAbC2tqZnz558//33Ot0z0ysoKIhatWpx/fp1dZ+RfT4cusxEY2CI/rVdHFs6gSNHjtCxY0cAOnTowPr169/72kIIIYRImzxriqxAkj4hMpC/vz937tzB0NCQ4sWLY2b2drNnvq3w8HBmzZrFkiVLCAqLwrHHXAxyOJCHUP4a2wSbXLmIjY3Fzc2NoKAg8ufPz5UrVzAxMcnQOIQQQgiRQp41RVYgSZ8QWVB0XAKd5uzmyF8bsbGz48K6WVibGarlK1euxNTUlNatW2NgYJCJkQohhBDZmzxriqxAngaFyGICI+LotvAA+yZ0REmMx9DOHhP9GTp1evTokTnBCSGEEEKIT47M3ilEFnLtWTgtFhznVpgGK89yAISFhnDy5MlMjkwIIYQQQnyqpKVPiE9ccHAwf/31F47lGjFi0yXiErXkszVnzOKZ7Nu+kZEjR+Ls7JzZYQohhBBCiE+UJH1CfMLmzJnDd999R1RUFA5dZ2HsVIDqXrbM71QKKxNDGlavkNkhCiGEEEKIT5x07xTiE2ZgZKyu/xd+chM9q+RlefeyWJkYvuFIIYQQQgghUkhLnxCfiLCwMAwNDTE3NwcgICKOvQkFMciVB7O8pfh54ncMblokk6MUQgghhBBZjbT0CZHJwsLCmDhxInnz5mXevHkAXH0aTov5x7nqH0PhIUvw3rSSwU3LZ3KkQgghhBAiK5J1+oTIZA8fPsTT05Pk5GRy5szJb7tO8d2ee8QlavG0s+D37mVxszHP7DCFEEIIkQZ51hRZgbT0CfGRxcXF6bzPmzcv7du3R19fH68KdRi54RxxiVpqFrBl66DKkvAJIYQQQoj3ImP6hPgIFEXh+PHjTJs2jefPn3Ps2DGd8m8nTESvXAf+9ddDH+hd1Z2vGxdCX0+TOQELIYQQQohs45NO+n744QcmTpyos69AgQLcunUrkyIS4s1iE5J5+jyGiLgkIuMSifz/n2O69cL3wR0AOvy4Equ8RVPK4hPxD48nOEoPQ30Nk78oSvtyrpl8F0IIIYQQIrv4pJM+gCJFinDgwAH1vYHBJx+y+IzdCYik49JTBEXGo9HottLFF24KD2ajb2nLoSv3MYux1SnPaWbI4i5lqOBh8zFDFkIIIYQQ2dwnn0EZGBjg4OCQ2WEI8UbxSckMXP4v9w9tIfryXkoOnouNjR0WJgZYmRhgVqwjTws4UK5WI3JYmGFpYvDSy5CCDpZYyvp7QgghhBAig33ySd+dO3dwcnLCxMSESpUqMWXKFFxdX931LT4+nvj4ePV9RETExwhTCGbuvc25nasJP7kRgPrKJSYNm6RbqXO5TIhMCCGEEEJ8zj7p2TsrVKjAypUr8fb2ZtGiRTx48IBq1aoRGRn5ymOmTJmCtbW1+nJxcfmIEYvPSXJyMklJSQAcuxPM0n8fYFGyEXr6+gA8ffr0tcdrtVq2bdtGo0aNcHJywtnZmTZt2nDw4EGy+UoqQgghhBDiI8pS6/SFhYXh5ubGL7/8Qu/evdOsk1ZLn4uLi6ydIjLM8+fPWbZsGQsXLmTy5Mk0/qItDeceJSAins4VXHEPOU2VKlUoVKjQK88RExNDmzZt2LNnT5rlvXr1YsmSJej/fwIphBBCiE+TrNMnsoJPvnvny3LkyIGXlxd37959ZR1jY2OMjY0/YlTic3P16lXGjh0LwK+//spRbQECIuLxsDXn2yaFMTUq9sZz9O3bVyfhs7GxITExUe2OvHz5chwdHZk8efKHuQkhhBBCCPHZ+KS7d/6vqKgo7t27h6OjY2aHIj4TSUlJhIaG6uyrVq0axYsXByBOz4Q9Fx9hqK9hXodSmBq9uWXuzp07rFu3DgALCwu2bt1KYGAgwcHBOq17c+bMITw8PIPvSAghhBBCfG4+6aRv9OjRHDlyhIcPH3LixAlatmyJvr4+HTt2zOzQRDYXHR3NrFmz8PDwYMSIETplGo2GRYsWceDkBeLrfIWekQmj6xegaB7rtzr3i4QP4Ntvv6Vly5bo6elhaGhI37596dOnjxrD9u3bM+yehBBCCCHE5+mTTvqePn1Kx44dKVCgAO3atcPGxoZTp05ha2v75oOF+H+PHz/m559/pn///owcOZL9+/ej1Wpfe4xWq2XSpEk8efKEDRs2EBgYqFNerkJF5p6LJjYxmcr5bOhbzeOt43l5gpd69eqlKq9fv766/ezZs7c+rxBCCCGEEGn5pMf0bdiwIbNDEFlYQkICw4YNY8mSJTpJ3uzZsylSpAgbN26kSJEiAISHh2Nt/V9LnaWlJQMGDGDatGnUq1ePiIgI7Ozs1PI5B3y48jQca1NDZrUrgZ6e7kLsr/PydW7cuEHp0qV1yq9fv65uy4BwIYQQQgjxvrLU7J3pITMqfZ4URaFz586sX7/+lXVy587NL7/8wtq1a7l9+zZ3797FwOC/70ECAwMJDQ2lYMGCOsedvh9Ch6WnUBRY0Kk0TYq/2xjTI0eOULNmTQDy58/PkSNH1HGqt2/fpkqVKoSEhKDRaLh37x7u7u7vdH4hhBBCfDzyrCmyAkn6RLb0cmJlbGzMuHHjaNasGffu3WPy5Mlcu3YNACcnJ3x9fQFYv349HTp0eO15w2MTaTTnKL7hcbQt48yMtiXeOTZFUShbtiwXLlwAwMzMjMaNGxMfH8+ePXvUtf9atmzJ1q1b3/n8QgghhPh45FlTZAWfdPdOIdJryZIl6vaCBQvo3bs3MTExlC1blvr16+Pp6UloaKg6Vs/DwwNDQ8PXnlNRFL7ZdhXf8DjcbMz4vnmRdMWm0WjYtGkTNWrU4NmzZ8TExPDnn3/q1ClatChLly5N1/mFEEIIIYR42Sc9kYsQ6XXp0iUAjIyMqFy5MsOHD8fR0ZFr166RM2dOWrduDaQsyTBr1ix8fHzUfa+y7eIzdl3xQ19Pw5z2JbEwTv93Jvny5ePs2bMMHjwYS0tLdb+trS3jx4/n2LFj2NjYpPv8QgghhBBCvCBJn8iW9PRSfrW1Wi179+5l7ty5REREMHPmTADi4+PVupUrV1bXxnuVxyExTNiRMsHK8Dr5KeWa871jdHR0ZP78+QQEBHDjxg1u3brFs2fP+Pnnn3UmexFCCCGEEOJ9SPdOka2Eh4ejp6dHxYoVuXbtGklJSURFRWFtbU18fDwWFhY8efKELVu2AGBubq7O4PkqSclahm+8SFR8EuXy5mRQLc8MjdnU1JRChQpl6DmFEEIIIYR4QVr6RLbw9OlTBg8eTJ48eVi0aBEDBgxQyyZMmEDFihVZuGgxrq5uVKxYkejoaAC6dOmi070yLQv+uceFx2FYGhvwS7uS6L/D8gxCCCGEEEJkNpm9U2QLd+/excvLC0VRcHV15d69e4wdO5bZs2ejMTLFukIbLMs0A40eyVGhJEeFYEICHb9ojLtDTuwsTbCzMsbO0gR7K2MsjA3QaDScf/Scdr+dJFmrMLdDSVqUzJPZtyqEEEKIT4g8a4qsQLp3iizn+fPnBAcHkz9/fnWfp6cnjRo14vDhwzRu3Jjo6GimTp9BgFUB/n1uiZ7pf2Pk9HI5YZjLCYD1FwKAgFTXMDPSx87SmLDYRJK1Ci1KOknCJ4QQQgghsiRJ+kSWERUVxbhx41i5ciUVKlTg0KFDOuW//voruXLlwtramr3X/ZnmfZEHcc7omYKNUTKl9B7hbKFHkbKVMMnpQEBEHEGR8QRExBH44mdEPJHxScQkJPMwJAaAPDlM+bFF0cy4ZSGEEEIIId6bdO8UWYZWqyV//vzcv38fgLFjx9K3b188Pf+bWOX8o1B+/vsW5x89ByC3hRHD63rRvpwLhvpvN4Q1JiGJwIiUJDAkOoFSrjlwtDbN+BsSQgghRJYnz5oiK5CkT3ySoqKiuHDhAtWrVwdS1tP7+uuvmT17NklJSTp1v/jiC76b/itLTwew55o/AKaG+vSt7kG/6h7pWk8vODiYdevWcffuXUxNTalTpw5169ZVl4IQQgghhAB51hRZgyR94pMzceJE5syZQ2JiIk+fPsXa2ppu3bqxdu3aVHX1TK2wrtIRq1KNQU8fPQ20K+vCiHpe2FuZvPO1tVotP/zwA9OnT9dZyw+gQIECrFu3jtKlS6f73oQQQgiRvcizpsgKZEyfyDTJycmcPn2awMBAbGxsqFixIoaGhgQGBhIWFgbA77//TpEiRdSEz8DAgIEDB1Kjdj02XAzgTGQONEYpXS/zaJ6zYngLvOxfvwTD64wdO5ZZs2alWXb79m1q1arFyZMnKVy4cLqvIYQQQgghxMckfdXEe/P39+fHH3+kRIkSODs7U7p0aaZPn05oaGia9RVFYdGiRbi7u1OlShVatmxJ9erVcXNzY/r06QwZMgQTExN69OhB/fr1WbRoEQB6ZtYM/2U1lrX6Mu26KWfjHdEYmZIQcA//9eO58/tI3HO9e+veCzdv3lQTPj09Pb788kuOHj3Khg0b+L/27j0sqmr/4/h7GAW5CSoIIYKaoJGKd8RrJWrpqaQ0MwtDK0/pyTQrzZPmqdRzM7XM/HUUzVQ0O+rxnlFQmldMwUsKhqKCeAcBQWT27w+PkxPWMUWHy+f1PPM8e9Zae6/vDMt59te1914tWrQArvxv3qhRo266DxERERGRO02Xd8otiYuLIzIykgsXLpSo8/b2ZtWqVbRt29ZaZhgGr776Ku+///6vHjMqKopp06ZhcnJlW9pZokdPwuLVEMfa9W3a1fF05vUHGzFr7AusXbMGgJSUFJsHu/weI0aMYOrUqQC8++67jB071lqXl5dH48aNOXbsGCaTibS0NAIDA2+qHxEREak4dK4p5YEu75SbduDAAR555BHy8/OtZT4+PmRlXVn37tSpUzz00EMkJyfj53dlXbwNGzaUSPiCgoK49957WbF6LU7+9/KfIw6kTksgs6AKFgOqhHSztm3s6077u70Iv7sWnYO9cKpiZq6jo7XeYrHc9Of54YcfrNtDhgyxqXN1deXpp59m8uTJGIbBrl27lPSJiIiISLmgpE9u2j/+8Q9rwtezZ09mzpxJQEAAKSkpDBo0iI0bN3L27FkGDhzIjBkzCA4OZvr06db9a9euTcvwzgTf34fjjnWp12gwFkwAHL94pU0DL1fO7N9M6qbVFKQnM3XhPHo/3Nl6jGPHjrF27VoAPDw8bikRM5lM1u1fPiH0l2XXthURERERKct0T5/clKKiIhYtWgSAu7s7ixYtIiAgALgyc7d48WLr8gZfffUVH374IYZh8M223biF9sD/yQl4vzCH/Y2fZUWmGzuOnMOCCVP+OXKTNnB65T+Ie7kdX4+6j3E9g8k/sAnLxRyeeeYZJk6cyPbt24mJiaFLly7Wp2xGR0fj5OR005+pTZs21u0PPvjApu78+fPMnz8fuHK/X6tWrW66HxERERGRO0n39MlNOXXqFLVr1wbgwQcftM62Xat58+bs3r0bACcXN8LfWkraedsZNE+XqnRs6EXHhl60v9uLQU8+StxXX1n78PLywmKx0KtXL9atW/er8QQGBrJt2zZrTDcjNTWV4OBgrv6TeOaZZ+jTpw8ZGRlMmTKFlJQU4Mq6gMuWLbvpfkRERKTi0LmmlAdK+uSm5Ofn4+bmhmEYBAQE8OKLLxIQEED//v05dCqPuH2ZvPPJUrJ//B4MA/cWPXH0DgTDQkHGAQrSdvLpX0fTK7wpZocrl0pmZWURGBhIYWEhNWrU4NSpU5jNZmt/Q4YMYcGCBfxyyIaFhbF48eJSucfu7bffZsKECb9a7+XlxZYtW7j77rtvuS8REREp/3SuKeWBkj65aREREcTFxVnf165bn7v/+H9k5Nguau54OY/Ido3pHOzN1v/M4523xgBwzz338OGHH9K5c2e2bdvG8OHD2bFjB3DlSZpTpkwp0eehQ4dYuHAhGRkZeHh48MgjjxAeHl5q99gZhsH777/PhAkTyMnJsalr27Yt8+bNo3HjxqXSl4iIiJR/OteU8kBJXwVWXFzMunXrWLduHbm5uQQGBhIVFUWDBg1K5firV6+m94DBYHLg8vlMwIRv1BScatfnYnoSF9N+oCAtkYT/xBIeHg7AuXPnaN68Oenp6b96XG9vb3bu3Im/v3+pxHkz8vLy+OKLL0hNTcXZ2ZmuXbvSpk0bPcBFREREbFTmc00pP5T0VVBJSUn07duXgwcP2pSbTCYGDRrEjBkzftdDT3Jzc/n00085ePAgU6dOJflYNrO+PcTqpAzyD+3gYtoPOAU0Jf/HjVxM3YJRdGW275///CcjR460OVZqaiq9evUqERuAv78/K1eupHnz5r//Q4uIiIjcYZX1XFPKFy3ZUAGlpqZy3333ce7cuRJ1hmEwe/ZssrOzWbJkyQ3NXBmGQfv27UlOTsZkMvFT7Y4k5Tj/t9ZEs+YtyDq/l+Rl71n36dChA2PGjKFXr14ljtewYUOSk5NZtmwZsbGxZGVlUatWLR5//HH69euHs7NziX1EREREROTmaKavAnryySdZvHgxcOUJmuPGjaNBgwasWrWK9957j4sXryyCFxcXxwMPPFBi/4KCAr7//nuys7OpU6cOoS1a8tyrb/HZB5MBqNH1BWq0fZSHm93F850bcK+fB4ZhcOTIEc6ePYu3tzd169a9cx9YRERExE4q47mmlD+a6SsnTp48yZw5c4iLi+PixYsEBQUxaNAgOnbsaDNbd+bMGb744gvgypMm4+Pj8fDwACA0NBQ/Pz8GDRoEwCeffGKT9J06dYqoqCi++uorLl++jKlqNdyadadm+z4Um5rh1qw73mGP8uzD9zGoYz38a7hY9zWZTNSrV4969erdgW9DRERERERulGb6yoHFixcTHR1tnaG71h/+8AcWLVqEm5sbAJs2baJjx44ADBkyhI8//tim/aVLl3B3d+fS5WIah7bh85XrOJVbSNb5fIZHPc7JgzsBcG/9KB4d+mOuduW4xXnnaFezgE/eiMLTxfF2flwRERGRcqMinGtKxaeZPjsxDIOzZ89y6dIlateubV2P7pc2bNjAU089hcViuW79qlWr6N+/P//5z38wmUw2x8nPz+fSZQurkjJIOHiKUxcKOZlzkdpD5mKq6kR+FUf+8MFGa3uH8Cj4b9JnFBVgruZG1YtnOZGwgNw9X7O0uIjRj7SgVatWpfhNiIiIiIjI7eRg7wAqm6KiIj766COaNGmCl5cXfn5++Pj48Prrr5OVlVWi/ZtvvmlN+J566ikOHjxIbm4uMTEx1ss2V61axaZNmwBo0qQJrq6umJxcWZNWRPtJGxi5ZDcrdmXw/aEz7E/5iewtSzj+0UAKj+zC292JkLvcMZ3YT9GpI1Sr34pn3/6I+TGzWTIknB/ff5pXe7eD4iIAZsyYcYe+KRERERERKQ26vPMOKigooHfv3qxfv/669f7+/nz99dcEBQUBkJycTLNmzYArD2RJTEzEweHnPD0mJsZ6f150dDRz5szh6Nl8nnlnNj/hi4PTlXvuXExFhPsYHN27g/jlCyg6fQSArl278tVXX3H48GHq168PQOfOnUlISLCJKz8/H29vb/Lz86lbt+5vrrEnIiIiUpmUpXNNkV+jyzuv42oeXNoLcY8ePdom4WvTpg2enp4kJCRw6dIljh07Ru/evUlKSsJsNpOSkmJt+9hjj9kkfAB9+/a1Jn17M3MZtnAna/ecoNipAQ5Afuo2cvfEcTF1K/uLL9vsazabCQwMxDAMm3sF69SpUyJuFxcXatSoQX5+/nXvKxQRERERkbJLl3f+V1FREXPmzCEsLAxHR0ecnJxo3749n376KZcvX/7fB/gfsrOz+eSTTwBwcnIiLi6Obdu28eWXX3Lo0CHuueceAPbt28e6desAbNarO378eIljHj12DOe72+LTfxJZoQNZlZRJscWgqesF3L6cwKkv/sLFA5vgmoSvRo0avPTSS5w4cYLZs2djMpnw9/fH0fHKw1nWr1/PhQsXbPrZsmWLtf+GDRve8nchIiIiIiJ3jpI+IDc3l27dujF48GC2bdvG5cuXKSoqYvPmzQwcOJCePXve8gzXl19+SX5+PgCDBg2yWSrB39+fSZMmWd9fXXIhPDzcmvh99tlnHDx4EICComIWbDlM5Cc7qd1nHNUCmuKAwWMt6rDm5U7EvBhByt7dwJUkb9q0afz1r38lNjaWY8eOMWPGDLy8vKz9ubu788QTTwBw9uxZHnnkERITEyksLGTlypU8+eST1raDBw++pe9BRERERETuLF3eCbzwwgs297E1bNgQi8XCTz/9BFx5guawYcOYPXv2Tfdx9uxZ63aLFi1K1F/7RMyrbT09PYmKimLWrFnk5eXRsk0Y4QPf5KhLEAVUxVJs5sLOf2M5c4TvV8zj3vo/X5rZu3dvdu/ezeDBg3nuuedwcXEp0ee1xo4dy4oVK7hw4QLx8fG0bt26RJsmTZowYMCA3/3ZRURERETEfir9TN+hQ4eIjY0FoHr16sTFxZGSkkJqairr1q3D1dUVgHnz5nHs2LGb7sfHx8e6/e2335aoj4+Pt277+vpatydPnkzTZs1wadQBz/7/IMUlhAKqUphxgKPTn+J8/Bw8s1MIqednc7xPPvmE/fv389prr/3PhA+gcePGrF27Fm9v7+vWt2jRgvXr19tccioiIiIiImVfpU/6lixZYn1wy+jRo3nggQfY8tMZvk05TY8ePRgxYgQAxcXFLF269Kb76d69OzVq1ABgwYIFzJ07l+LiYgB27NjB6NGjrW2feuop63Z6Ltz9/Id4PTqaKp6+XL5wmtOrp3Dis9dwdbmSgKWnp7Nnzx6b/qpXr/67H0TToUMHfvrpJz7++GN69uxJ+/bt6du3LytWrGD79u34+fn974OIiIiIiEiZUukv77x2bbxOnTqReOQcUbO3UcVsIvaFdnTu3Nlaf/LkyZvux8XFhREjRjBu3DgMwyA6OpoxY8bg4eHBgQMHrO06dOhAp06dOJFdwN/W/8iiNQlc2LkaM8WMfu997jWbsXT7Ew0bTiM5OZktW7YwePBgmjZtetOxXcvNzY0hQ4YwZMiQUjmeiIiIiIjYV6VP+mrWrGndTkxM5MV27QlrUJPvUk4zaO52Iki6btubMXbsWNLS0oiJiQHgxIkTnDhxwlrftGlTFsQuYXpcKh8nHCK/8BKnvvgLxblnMZvNRLWsRZ06zaztmzRpQv/+/W8pJhERERERqdgq/eWdjz32mHV74sSJHPxxHzOfbsW9ftU5nXuJBcc9cXC+stBmZGTkLfXl4ODA7NmzWblyJQ8++CCurq44OjoSGhrK9OkfMGLqfJ6cv5/3vzrIxaJiWtf3YvDg5wBwdXVl9+7dt9S/iIiIiIhUPibj6g1tFVROTg4eHh5kZ2dTvXr167bp2bMna9euBa4syN6hQweKzM4ca9yPKp6+FGYcJCx/C8uXLr4tMU6bu4SJf5/C6cM/4v9iDP5eHozp2ZheTe8iIyODNWvW0L9/f9zc3G5L/yIiIiJyc27kXFPE3pT0AadPn6Zr164kJSXZlFepWQffAX/D7OJBx7trMHdQO6qYS29y9Pj5i0xe+yMx744kb188AFGj/86sv4ygWlVzqfUjIiIiIreHkj4pDyr95Z0AXl5ebNq0iYkTJxIYGGgtD/B04gnfs1Sr4sDGQ+cYu2wPt5IjZ2Zm8tFHH2GxWFiVlMGD73/Lyt0ZuLfsBUDdwEB6NPVTwiciIiIiIqVGM32/YBgGZ86cwWQyUbNmTUwmExv2ZTFk/g4sBgzvGsSIbsG/O4633nqL9957D8MwGPDOHDbm1gagZYAnf3n0Xk4e2EmXLl0wm5XwiYiIiJQXmumT8kAzfb9gMpnw8vKiVq1a1nXuuoX48G7vK0siTItLYeHW9N88RkFBQYmykJAQ6yzhiqVLMJlg6P13s2RIOE3qePLAAw8o4RMRERERkVKnpO8GPRUWwMtdgwD48/JkvtqXVaLNpk2bePrpp/Hy8uLgwYPWcsMwuOzfEiefBni0709glyeYPyiM13o0LtV7BEVERERERH5JGcfvMCIiiCda+2MxYNiinexMP2dTv3XrVhYsWEBeXh6LFi0CILfwMiOX7Oat1an4PjudP0QP5+t3+9MxyMseH0FERERERCoZJX2/g8lk4r3IpoT7VeXklhU8+3E8P53Ktdb369cPk8mEp6cnJpOJvRnZPPzBRpb9cByzg4nXejTi00Ftqe1ezY6fQkREREREKpMq9g6gvJkXM4cvRr1EUVERJnNVouZ48O+X2lPbvRp16tQhISGBNm3asOSHE0TO+J5LxRb8PKoxvX8LWterae/wRURERESkktFM3//wy4ebtmjRgqKiIgAu//g1x85dJDpmO7mFlwFo1qodwz/fw7gVe7lUbCHiHh/WDO+khE9EREREROxCSd91nDt3jpkzZ9K2bVvWr19vU9eyZUu6devGqFGjWLpgLrVcHdmbkcOLnyWy9acz9Jz+Hev3ZlHVbGLcH0L4JKoVni6OdvokIiIiIiJS2WmdvutYvnw5kZGRADzxxBMsXrz4V9smHTvPk/+3hfxLxdaywFoufNi/JU39PW4teBEREREp07ROn5QHmum7jl69euHt7Q3A0aNHsVgsv9q2mb8nMwa0xOxwZU2/h0P9WPWnjkr4RERERESkTNBM369Yvnw59evXJzQ09Iba70w/R/bFIu4L9rYu6i4iIiIiFZtm+qQ8KBczfTNmzKBevXpUq1aNsLAwtm3bdtv77N279w0lfMnJyQwdOpTnIyMY+WQPoqOj+f777297fCIiIiIiIjeizCd9ixcvZuTIkYwfP56dO3cSGhpKjx49OHnypF3jMgyDMWPG0KxZMz766CN27tzJrl27mDdvHh06dGDgwIHWp3yKiIiIiIjYS5lP+qZMmcLzzz9PdHQ0ISEhfPzxx7i4uDBnzhy7xvXPf/6TyZMn25Q5OPz8dX766aeMGDHiToclIiIiIiJio0wnfZcuXSIxMZGIiAhrmYODAxEREWzevPm6+xQWFpKTk2PzKm15eXm8++671vfvvPMO2dnZ5ObmMnPmTBwdryzRMHPmTI4ePVrq/YuIiIiIiNyoMp30nT59muLiYnx8fGzKfXx8OHHixHX3mTRpEh4eHtZX3bp1Sz2uFStWkJ2dDcAzzzzDn//8Z6pXr46zszN//OMfef311wGwWCx89tlnpd6/iIiIiIjIjSrTSd/NGDNmDNnZ2dbX7ZhpS0tLs24/+uijJeqvLbu2rYiIiIiIyJ1Wxd4B/BYvLy/MZjNZWVk25VlZWfj6+l53HycnJ5ycnG5rXK6urtbt6yV115Zd21ZEREREROROK9MzfY6OjrRq1Yq4uDhrmcViIS4ujvDwcLvF1b17d+v21KlTyczMtL7Pycnhvffes77v0aPHHY1NRERERETkWmV6pg9g5MiRDBw4kNatW9O2bVumTp1KXl4e0dHRdospJCSEbt26sWHDBo4fP06jRo3o168fTk5OLFmyhFOnTgHQqFEjmwRRRERERETkTivzSV+/fv04deoU48aN48SJEzRv3px169aVeLjLnTZ79mw6duxIeno6Fy5c4F//+pdNfY0aNVi8eLHNMg4iIiIiIiJ3mskwDMPeQdxOOTk5eHh4kJ2dTfXq1Uv12JmZmYwdO5ZFixZRUFAAgNlsJjIykokTJxIUFFSq/YmIiIhI2XI7zzVFSouSvlJw/vx5kpKSsFgshISEULt27dvSj4iIiIiULUr6pDwo85d3lgeenp507tzZ3mGIiIiIiIiUoBvOREREREREKjAlfSIiIiIiIhWYkj4REREREZEKTEmfiIiIiIhIBaakT0REREREpAJT0iciIiIiIlKBVfglG64uQ5iTk2PnSERERESkorl6jlnBl76Wcq7CJ30XLlwAoG7dunaOREREREQqqjNnzuDh4WHvMESuy2RU8P+WsFgsZGRk4O7ujslkuqF9cnJyqFu3LkePHqV69eq3OUIpyzQW5CqNBQGNA/mZxoJclZ2dTUBAAOfOncPT09Pe4YhcV4Wf6XNwcMDf3/+m9q1evbp+yAXQWJCfaSwIaBzIzzQW5CoHBz0qQ8oujU4REREREZEKTEmfiIiIiIhIBaak7zqcnJwYP348Tk5O9g5F7ExjQa7SWBDQOJCfaSzIVRoLUh5U+Ae5iIiIiIiIVGaa6RMREREREanAlPSJiIiIiIhUYEr6REREREREKjAlfSIiIiIiIhWYkr5fmDFjBvXq1aNatWqEhYWxbds2e4ckd8C3337Lww8/jJ+fHyaTieXLl9vUG4bBuHHjuOuuu3B2diYiIoKUlBT7BCu3zaRJk2jTpg3u7u7Url2b3r17c+DAAZs2BQUFDB06lFq1auHm5sbjjz9OVlaWnSKW22XmzJk0a9bMuvB2eHg4a9eutdZrHFROkydPxmQy8corr1jLNBYqh7fffhuTyWTzaty4sbVe40DKOiV911i8eDEjR45k/Pjx7Ny5k9DQUHr06MHJkyftHZrcZnl5eYSGhjJjxozr1v/tb39j+vTpfPzxx2zduhVXV1d69OhBQUHBHY5UbqeEhASGDh3Kli1b2LBhA0VFRXTv3p28vDxrmxEjRrBy5Uo+//xzEhISyMjI4LHHHrNj1HI7+Pv7M3nyZBITE9mxYwcPPPAAjz76KHv37gU0Diqj7du3M2vWLJo1a2ZTrrFQedx7771kZmZaXxs3brTWaRxImWeIVdu2bY2hQ4da3xcXFxt+fn7GpEmT7BiV3GmAsWzZMut7i8Vi+Pr6Gn//+9+tZefPnzecnJyMRYsW2SFCuVNOnjxpAEZCQoJhGFf+7lWrVjU+//xza5v9+/cbgLF582Z7hSl3SI0aNYx//etfGgeV0IULF4ygoCBjw4YNRpcuXYzhw4cbhqHfhMpk/PjxRmho6HXrNA6kPNBM339dunSJxMREIiIirGUODg5ERESwefNmO0Ym9paWlsaJEydsxoaHhwdhYWEaGxVcdnY2ADVr1gQgMTGRoqIim7HQuHFjAgICNBYqsOLiYmJjY8nLyyM8PFzjoBIaOnQovXr1svmbg34TKpuUlBT8/Pxo0KABAwYMID09HdA4kPKhir0DKCtOnz5NcXExPj4+NuU+Pj78+OOPdopKyoITJ04AXHdsXK2TisdisfDKK6/QoUMHmjRpAlwZC46Ojnh6etq01ViomJKTkwkPD6egoAA3NzeWLVtGSEgIu3bt0jioRGJjY9m5cyfbt28vUaffhMojLCyMuXPn0qhRIzIzM5kwYQKdOnViz549GgdSLijpExG5jqFDh7Jnzx6bezakcmnUqBG7du0iOzubpUuXMnDgQBISEuwdltxBR48eZfjw4WzYsIFq1arZOxyxo4ceesi63axZM8LCwggMDGTJkiU4OzvbMTKRG6PLO//Ly8sLs9lc4klLWVlZ+Pr62ikqKQuu/v01NiqPYcOGsWrVKr755hv8/f2t5b6+vly6dInz58/btNdYqJgcHR1p2LAhrVq1YtKkSYSGhjJt2jSNg0okMTGRkydP0rJlS6pUqUKVKlVISEhg+vTpVKlSBR8fH42FSsrT05Pg4GBSU1P1myDlgpK+/3J0dKRVq1bExcVZyywWC3FxcYSHh9sxMrG3+vXr4+vrazM2cnJy2Lp1q8ZGBWMYBsOGDWPZsmV8/fXX1K9f36a+VatWVK1a1WYsHDhwgPT0dI2FSsBisVBYWKhxUIl07dqV5ORkdu3aZX21bt2aAQMGWLc1Fiqn3NxcDh06xF133aXfBCkXdHnnNUaOHMnAgQNp3bo1bdu2ZerUqeTl5REdHW3v0OQ2y83NJTU11fo+LS2NXbt2UbNmTQICAnjllVd49913CQoKon79+rz11lv4+fnRu3dv+wUtpW7o0KEsXLiQFStW4O7ubr0Xw8PDA2dnZzw8PBg8eDAjR46kZs2aVK9enT/96U+Eh4fTrl07O0cvpWnMmDE89NBDBAQEcOHCBRYuXEh8fDzr16/XOKhE3N3drff0XuXq6kqtWrWs5RoLlcOoUaN4+OGHCQwMJCMjg/Hjx2M2m+nfv79+E6R8sPfjQ8uaDz74wAgICDAcHR2Ntm3bGlu2bLF3SHIHfPPNNwZQ4jVw4EDDMK4s2/DWW28ZPj4+hpOTk9G1a1fjwIED9g1aSt31xgBgxMTEWNtcvHjReOmll4waNWoYLi4uRmRkpJGZmWm/oOW2GDRokBEYGGg4Ojoa3t7eRteuXY0vv/zSWq9xUHldu2SDYWgsVBb9+vUz7rrrLsPR0dGoU6eO0a9fPyM1NdVar3EgZZ3JMAzDTvmmiIiIiIiI3Ga6p09ERERERKQCU9InIiIiIiJSgSnpExERERERqcCU9ImIiIiIiFRgSvpEREREREQqMCV9IiIiIiIiFZiSPhERERERkQpMSZ+IiIiIiEgFpqRPRKQMi4+Px2Qycf78ebv0HxcXxz333ENxcfFt72vfvn34+/uTl5d32/sSERGpTJT0iYiUEffddx+vvPKKTVn79u3JzMzEw8PDLjG9/vrr/PnPf8ZsNt/2vkJCQmjXrh1Tpky57X2JiIhUJkr6RETKMEdHR3x9fTGZTHe8740bN3Lo0CEef/zxO9ZndHQ0M2fO5PLly3esTxERkYpOSZ+ISBnw7LPPkpCQwLRp0zCZTJhMJg4fPlzi8s65c+fi6enJqlWraNSoES4uLvTp04f8/HzmzZtHvXr1qFGjBi+//LLNJZmFhYWMGjWKOnXq4OrqSlhYGPHx8b8ZU2xsLN26daNatWrWst27d3P//ffj7u5O9erVadWqFTt27LDWb9y4kU6dOuHs7EzdunV5+eWXbS7XLCws5I033qBu3bo4OTnRsGFDZs+eba3v1q0bZ8+eJSEh4Ra/UREREblKSZ+ISBkwbdo0wsPDef7558nMzCQzM5O6detet21+fj7Tp08nNjaWdevWER8fT2RkJGvWrGHNmjXMnz+fWbNmsXTpUus+w4YNY/PmzcTGxpKUlETfvn158MEHSUlJ+dWYvvvuO1q3bm1TNmDAAPz9/dm+fTuJiYmMHj2aqlWrAnDo0CEefPBBHn/8cZKSkli8eDEbN25k2LBh1v2joqJYtGgR06dPZ//+/cyaNQs3NzdrvaOjI82bN+e77767qe9RRERESqpi7wBERAQ8PDxwdHTExcUFX1/f32xbVFTEzJkzufvuuwHo06cP8+fPJysrCzc3N0JCQrj//vv55ptv6NevH+np6cTExJCeno6fnx8Ao0aNYt26dcTExDBx4sTr9nPkyBFr+6vS09N57bXXaNy4MQBBQUHWukmTJjFgwADrfYlBQUFMnz6dLl26MHPmTNLT01myZAkbNmwgIiICgAYNGpTo18/PjyNHjtzAtyYiIiI3QkmfiEg54+LiYk34AHx8fKhXr57NjJmPjw8nT54EIDk5meLiYoKDg22OU1hYSK1atX61n4sXL9pc2gkwcuRInnvuOebPn09ERAR9+/a1xrJ7926SkpJYsGCBtb1hGFgsFtLS0khOTsZsNtO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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def ZeroOrderKF(R, Q, P=20):\n", + " \"\"\" Create zero order Kalman filter.\n", + " Specify R and Q as floats.\"\"\"\n", + " \n", + " kf = KalmanFilter(dim_x=1, dim_z=1)\n", + " kf.x = np.array([0.])\n", + " kf.R *= R\n", + " kf.Q *= Q\n", + " kf.P *= P\n", + " kf.F = np.eye(1)\n", + " kf.H = np.eye(1)\n", + " return kf\n", + "\n", + "def FirstOrderKF(R, Q, dt):\n", + " \"\"\" Create first order Kalman filter. \n", + " Specify R and Q as floats.\"\"\"\n", + " \n", + " kf = KalmanFilter(dim_x=2, dim_z=1)\n", + " kf.x = np.zeros(2)\n", + " kf.P *= np.array([[100, 0], [0, 1]])\n", + " kf.R *= R\n", + " kf.Q = Q_discrete_white_noise(2, dt, Q)\n", + " kf.F = np.array([[1., dt],\n", + " [0., 1]])\n", + " kf.H = np.array([[1., 0]])\n", + " return kf\n", + "\n", + "def SecondOrderKF(R_std, Q, dt, P=100):\n", + " \"\"\" Create second order Kalman filter. \n", + " Specify R and Q as floats.\"\"\"\n", + " \n", + " kf = KalmanFilter(dim_x=3, dim_z=1)\n", + " kf.x = np.zeros(3)\n", + " kf.P[0, 0] = P\n", + " kf.P[1, 1] = 1\n", + " kf.P[2, 2] = 1\n", + " kf.R *= R_std**2\n", + " kf.Q = Q_discrete_white_noise(3, dt, Q)\n", + " kf.F = np.array([[1., dt, .5*dt*dt],\n", + " [0., 1., dt],\n", + " [0., 0., 1.]])\n", + " kf.H = np.array([[1., 0., 0.]])\n", + " return kf\n", + "\n", + "def simulate_system(Q, count):\n", + " obj = ConstantVelocityObject(x0=.0, vel=0.5, noise_scale=Q)\n", + " xs, zs = [], []\n", + " for i in range(count):\n", + " x = obj.update()\n", + " z = sense(x)\n", + " xs.append(x)\n", + " zs.append(z)\n", + " return np.array(xs), np.array(zs)\n", + "\n", + "\n", + "\n", + "from filterpy.common import Saver\n", + "\n", + "def filter_data(kf, zs):\n", + " s = Saver(kf)\n", + " kf.batch_filter(zs, saver=s)\n", + " s.to_array()\n", + " return s\n", + "\n", + "from kf_book.book_plots import plot_kf_output\n", + "\n", + "R, Q = 1, 0.03\n", + "xs, zs = simulate_system(Q=Q, count=50)\n", + "\n", + "kf = FirstOrderKF(R, Q, dt=1)\n", + "data1 = filter_data(kf, zs)\n", + "\n", + "plot_kf_output(xs, data1.x, data1.z)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "de30cadd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kf_book.book_plots import plot_residual_limits, set_labels\n", + "\n", + "def plot_residuals(xs, data, col, title, y_label, stds=1):\n", + " res = xs - data.x[:, col]\n", + " plt.plot(res)\n", + " plot_residual_limits(data.P[:, col, col], stds)\n", + " set_labels(title, 'time (sec)', y_label)\n", + " \n", + "\n", + "plot_residuals(xs[:, 0], data1, 0, \n", + " title='First Order Position Residuals(1$\\sigma$)',\n", + " y_label='meters') " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "af305a54", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_residuals(xs[:, 1], data1, 1, \n", + " title='First Order Velocity Residuals(1$\\sigma$)',\n", + " y_label='meters/sec') " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "b84e1fe1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "kf0 = ZeroOrderKF(R, Q)\n", + "data0 = filter_data(kf0, zs)\n", + "plot_kf_output(xs, data0.x, data0.z)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "d2578ca6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_residuals(xs[:, 0], data0, 0, \n", + " title='Zero Order Position Residuals(3$\\sigma$)',\n", + " y_label='meters',\n", + " stds=3)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "088a86f7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "kf2 = SecondOrderKF(R, Q, dt=1)\n", + "data2 = filter_data(kf2, zs)\n", + "plot_kf_output(xs, data2.x, data2.z)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "6b513fb0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "res2 = xs[:, 0] - data2.x[:, 0]\n", + "res1 = xs[:, 0] - data1.x[:, 0]\n", + "\n", + "plt.plot(res2, label='order 2')\n", + "plt.plot(res1, ls=\"--\", label='order 1')\n", + "plot_residual_limits(data2.P[:, 0, 0])\n", + "set_labels('Second Order Position Residuals',\n", + " 'meters', 'time (sec)')\n", + "plt.legend();" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "cc7bffd8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "res2 = xs[:, 1] - data2.x[:, 1]\n", + "res1 = xs[:, 1] - data1.x[:, 1]\n", + "\n", + "plt.plot(res2, label='order 2')\n", + "plt.plot(res1, ls='--', label='order 1')\n", + "plot_residual_limits(data2.P[:, 1, 1])\n", + "set_labels('Second Order Velocity Residuals', \n", + " 'meters/sec', 'time (sec)')\n", + "plt.legend();" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "89744137", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "kf2 = SecondOrderKF(R, 0, dt=1)\n", + "data2 = filter_data(kf2, zs)\n", + "plot_kf_output(xs, data2.x, data2.z)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "8f1e14f9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "np.random.seed(25944)\n", + "xs500, zs500 = simulate_system(Q=Q, count=500)\n", + "\n", + "kf2 = SecondOrderKF(R, 0, dt=1)\n", + "data500 = filter_data(kf2, zs500)\n", + "\n", + "plot_kf_output(xs500, data500.x, data500.z)\n", + "plot_residuals(xs500[:, 0], data500, 0, \n", + " 'Second Order Position Residuals',\n", + " 'meters') " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "05d29948", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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BxSJHQRtcGQBgt2RCE1QJluRYwJIlG0qCg4Nx+fJlaDQat/RPRO6lyO8GiIiIqGix2+14//33oVKp0LVrV9lQovQNAiQFrLevQelTHHZzJox7fsWNeS8h7dgmwJKV4/KVKlXC9evXcfPmTYYSogKMV0yIiIjosfnwww8xadIkFyol6Co3gm/j3kg7sRWmfashrGYk/vYhLLevwZ5hkl2Dl5cXrly5gmLFiuW+cSLKcwwmRERElOdWrVqFbt26uVSrq9wYvk16QxMQCgCQ1B5IObIBwm5D1vUTsst7e3vjk08+wUsvvQSFgjeHED0pGEyIiIgoTwghMHv2bIwdO9aleqW+BGwpifCq1gyagFDYs9KRcuB3mPb9BmHOkF3ew8MDZ8+eRenSpXPZORHlBwYTIiIicrtvv/0Ww4YNky+UFPCs+gw8ytRE0sY5AADjziUwJ15B6v7fYc9Kk1+FJGHmzJmYMGECJEnKbetElE8YTIiIiMgthBB455138P7777tQLcGzWjP4NnkB6mKlIYRA6pGNsCRehSU5DpboZbJrqFChApYuXYqGDRvmvnkiyncMJkRERJRrmzZtQps2bVyolKDUF4c2pCpKPD8BAGDLSEHK/t9gvn0dsJpl19CuXTusW7eOV0eIChkGEyIiInpkb7/9Nj744AP5QkkBz6pNkXFhH2ymW0hPTUJW/AWkn4lGyoE/XHqGpFSpUti1axefISEqpBhMiIiI6KG5fIVEoYRX9RYwhPeC2j8EyTt+gnHXckhKFeJ+muDSFZIKFSrgxIkT0Gq1buiciAoqBhMiIiJyiRAC27Ztw7PPPgshRM7FkgIqvxCU6Po2NMVKAQBs6cbsh9mVagiZQREBoEmTJti8eTM8PDzc0T4RFXAMJkRERJQjk8mEwYMH49dff5UvVqigKVEW5vgLsCZdh/nmGSg9vGHauwoph/6EsGTKrqJXr15Yvny5GzonoicJgwkRERHdV2JiIpo0aYKzZ8/KFytU8K4ZAUN4D1hNtxC/NHt09+Qdi5G06WuXrpA8/fTT2LVrF7y8vHLbOhE9gRhMiIiIyIkQApGRkdi0aZN8sUIJzypN4NdiIFT6gOxpSjVU/qVgTY6DLSVRdhXPPvss5s+fj4oVK+aycyJ6kinyu4Gc2Gw2TJkyBaGhodDpdKhQoQLee+89p/ta774zPTg4GDqdDhERETh37pzTepKSktC3b1/o9Xr4+vpiyJAhSE1Nfdy7Q0REVOCtWrUKCoVCPpQoVFD6lADsNkiSAip9AKwpt5G0+RvcnP8SrEnXAbs1x1U0atQIJpMJW7ZsYSghooIdTD788EPMnTsXX331FU6dOoUPP/wQs2bNwpdffumomTVrFmbPno158+Zhz5498PLyQmRkJDIz//8e1r59++LEiRPYtGkT1q5di+3bt7s2Gi0REVERIITA6NGjIUkSunXrlnOxUg2fuh0QPOQrCGv27Vlpp7Yh8Y+PcWP+S0g58DuEzJu2IiMjER8fj5iYGPj4+LhrN4joCScJ2ddq5J8OHTogMDAQ33//vWNat27doNPp8NNPP0EIgZCQELz++usYP348AMBoNCIwMBALFy7ECy+8gFOnTqF69erYt28f6tevDwDYsGEDnnvuOVy/fh0hISGyfZhMJhgMBhiNRuj1+rzZWSIiosfMZrOhWbNm2LVrl3yxUg2f2u2gD+sGlU8xAMCdqAX/PNBuBoRNdhUDBw7EggULcts2PQJ+lqEnQYG+YtK4cWNs2bLF8dDdkSNHsHPnTrRr1w4AcOnSJcTFxSEiIsKxjMFgQFhYGGJiYgAAMTEx8PX1dYQSAIiIiIBCocCePXvuu92srCyYTCanLyIiosJk4sSJUKlU8qFEqYbSpziUOh/4tRgElU8xWE0JuL1xDkz71mQPjCgTSmrVqoXExESGEiLKUYF++H3SpEkwmUyoWrUqlEolbDYbPvjgA/Tt2xcAEBcXBwAIDAx0Wi4wMNAxLy4uDgEBAU7zVSoV/P39HTX/NWPGDLz77rvu3h0iIqJ8ZTab8dlnn2HSpEmytZJaC+/az8Fy6zIyLx8CABj3roLNdAupxzcDtpyfHwGAjh074osvvkBoaGiueyeiwq9AB5Off/4ZS5YswdKlS/HUU0/h8OHDGDt2LEJCQjBgwIA82+7kyZMxbtw4x/cmkwmlS5fOs+0RERHlpaysLHTv3h1r166VrZXUWvjUaQ99wy5QevkhK+484i4fgqTxhHHnEkDYZdexdetWtGjRwg2dE1FRUqCDyYQJEzBp0iS88MILAICaNWviypUrmDFjBgYMGICgoCAAQHx8PIKDgx3LxcfHo3bt2gCAoKAgJCQkOK3XarUiKSnJsfx/abVaaLXaPNgjIiKix0cIgV69emHlypXyxUo1lJ56FGs/DrqytQAAluQ4pB5aB0gKCHO67CqGDRuG+fPn57ZtIiqiCvQzJunp6VAonFtUKpWw27P/tSY0NBRBQUHYsmWLY77JZMKePXsQHh4OAAgPD0dycjIOHDjgqPn7779ht9sRFhb2GPaCiIjo8fv444+hUChkQ4mk0UFXMQywWWBLuY2Ug2thuXMTiX9+jpvfDkfq0U2yV0n8/PwQFRXFUEJEuVKgr5h07NgRH3zwAcqUKYOnnnoKhw4dwqefforBgwcDACRJwtixY/H++++jUqVKCA0NxZQpUxASEoLOnTsDAKpVq4a2bdti6NChmDdvHiwWC0aPHo0XXnjBpTdyERERPSmEEOjTpw+WL18uWytpdPCp1xH6Bp2hUHvgxvyXYEtNQuaVo7j5zXAA8i/trF69OpYtW4ann37aDd0TUVFXoIPJl19+iSlTpmDkyJFISEhASEgIhg8fjnfeecdR88YbbyAtLQ3Dhg1DcnIynnnmGWzYsAEeHh6OmiVLlmD06NFo1aoVFAoFunXrhtmzZ+fHLhEREbldUlISRo4ciRUrVsgXqzTQhdZDsXavQKnLHkPEcvs6VIZA2FLvQGSlya7ixx9/RL9+/XLbNhGRkwI9jklBwXd/ExFRQXTnzh2Eh4fjzJkz8sUaTyg1HrClJkHh6YuSL38Hm+kWkqOXI/30Dpcean/xxRexcOFCKJVKN3RPjxM/y9CToEBfMSEiIqJ7JSYmonnz5jh58qRsrULrBZ8GnaCv9zxub5yD9NM7YE9PRvyyN2GOO+9SIAkPD8fGjRs5SjsR5akC/fA7ERER/T+73Y4uXbqgRIkSsqFEUnvA0PRFlBzxA3yb9IHCwxue1ZpB4eENADDHnpUNJR9//DGEENi1axdDCRHlOV4xISIiKuCsViveeOMNfPbZZ7K1kloHSa2FPT0ZurK1oNB6wZxwCcZdy5F+ZhfkHmpXKBTYvn07mjRp4qbuiYhcw2BCRERUgI0bN86lQKLQ6aFv0AWSVoc7m+YBAO78/T0U3n7IOLsbrrxla+TIkZgzZ05uWyYieiQMJkRERAVMamoq+vXrhzVr1sjWSh4+MIR1g0/d9lBodBA2K0wxP8NuNSPr5mmXthcREYHVq1fD29s7l50TET06BhMiIqICwmazISwszGlQ4AeRNJ6QlCp4124HQ6PuAICsuPMwRi+FLTVJdnmFQoGoqCg0bdo0130TEbkDgwkREVE+MxqN6NKlC7Zu3Spbq/DyhXfNNjDt+QXCbEfqwbXwKPs0UvatQcaFfS5tLzo6Go0bN85t20REbsVgQkRElI8+/vhjTJgwQbZO6eUHfVg3eNduB4VaC1taEtKObYaQJCQsf0t2eUmSMHfuXAwfPtwdbRMRuR2DCRER0WOWkpKC8ePH45tvvpGtlbReUPsFI6D3TCg1HgCArBunYbkTCwAQmamy60hISECJEiVy1zQRUR5jMCEiInpMUlJSEBYWhlOnTsnWKn2KQdJ4wnr7Gsxx52G+eRqSSgNj9DJkXj7k0vY++OADvPnmm7ltm4josWAwISIiymNmsxlly5ZFXFycbK3SpzgMjbrD++lIpJ/dhcQ/PgIA3F7/BWymW7LLKxQKrFq1Cp06dcp130REjxODCRERUR45evQonn32Wdy+fVu2VtJ6wxDeA/r6z0NSqgEACk9fKL38YUtLcimU/PHHH+jQoUOu+yYiyg8MJkRERG529uxZhIWFITk5WbZW4ekLYbNAZKXCnpECSalG5pWjSI5ehqxrx1za3qxZs1x6gJ6IqCBjMCEiInKT1NRUVKlSBTdv3pStVRkCoQ/vCY+ytXDzu5cBACkHfkfmteMwuzgw4ogRI/DFF19ArVbnqm8iooKAwYSIiCiX0tPT0aZNG0RHR8vWKr2LwbdpX3g99SwkZfafYV1oPWRdPwF7ZqpLoaRnz55Yvnw5JEnKde9ERAUFgwkREdEjOnToEAYMGIBjx+RvuVJ4+EDYbVB4GuBVszUkSULGpYMwRi9F1g35MKJQKBATE4OGDRu6o3UiogKHwYSIiOgh/fbbbxgwYACMRqNsrcovBPpGPZFy8A9Y4i/AknARxuilyLh0EOabZ2SXVygU+OqrrzBs2DAolUp3tE9EVCAxmBAREbno4sWLaNKkiUuv/VX5l4KhcS94VWsGSaGEUueNW6veh8LDG8boZS5tb8eOHWjSpAlv2SKiIoHBhIiISMbp06fRpEkTJCUlydYqPPWA3Y6AXu9Brc8ebT39/F4kRy8HANhdGKl91apV6NKlS+6aJiJ6wjCYEBERPYAQAoMGDcKiRYtka9XFy0DlXxIZZ2MAACl7V8GjbC0Yo5fBHH/Bpe2tWLECPXv2zFXPRERPKgYTIiKi/xBCYMCAAVi8eLFsrbp4WRiavADPKk1gz0jBjUsHISxmpJ6IQsqBP2SX9/T0xPfff49evXrxli0iKtIYTIiIiP5ht9vRsWNH/Pnnn7K1Ck8DvGpEwL/lIMe0zGvHofDQw2a5BZGZkuPyxYsXx5UrV+Dp6ZnrvomICgMGEyIiKvJ27NiBNm3aIDMzU7ZWVawUbMZbsKcbkXlhH0SLAUg/swvGXcthuXVZdnmlUomdO3eiUaNGbuiciKjwUOR3A0RERPlBCIGVK1dCpVKhWbNmsqFEHVAeJbq8hZAhc6EJrAAAsCRdx435w5D420yXQsmsWbNgtVoZSoiI7oNXTIiIqMjZuHEj2rZt61KtyhAIv1bD4FkpDAAghB3a0k/BnHgFIisNNmPOrw6WJAmvvfYa3n77bfj5+eW6dyKiworBhIiIioy0tDSEhITAZDLJ1iq9i8GemQJrSiLUJcpC2G1IO7Udxl0rYE267tL2YmJieHWEiMhFDCZERFToWa1W1K1bF8eOHZOt1QRXhm+TPsiKPQtj9FIAwO0/P4ct7Q6sSTdc2t4rr7yCL774Ilc9ExEVNQwmRERUaO3duxfdu3fHtWvXZGvVwVXg90wf6MrXAwBogivBtG8NACDr2nGXtvfcc89h9erV0Gg0j9wzEVFRxYffiYio0Pnzzz/h7++PsLAw2VCi9PYHlGroa0dCV74ehN2G1KObELd4PIQ5HcKcnuPykiTh1VdfRWpqKtatW8dQQkT0iHjFhIiICo0lS5ZgwIABsNlssrXaUk/Bs0oT3NnyDQDAuGsF7DYrUvb8Cqsx3qXt/frrr+jatWuueiYiomwMJkRE9MQ7ffo0qlWr5lKttnQN+DbpDY+ytQAAGef3IPPacdgyTLjz19eyy0uShO+++w6DBg3iSO1ERG7EYEJERE+suLg4lCtXDllZWbK1Su9iUAeEIrDHNACAsFmQenQzzIlXAbsNwpyR4/KSJCE6Ohrh4eHuaJ2IiP6DwYSIiJ44O3bsQIsWLWC322VrNaVrwJp0HbbU27ClJsEcfxFZN07BuPsX2FJuyS6vUqmwcuVKdO7c2Q2dExHRgzCYEBHREyM9PR2hoaFISEiQrfUo8zQMTXrDo0xNGPf8iuSoBYBCibjlb0Jkpsou7+Pjg7/++ovjkBARPSYMJkREVOCdOHECDRo0QEZGzrdbAYBSXwLF2r0CXbk6AABhtQCSBEmjgzBnyIaS4OBgrF69GmFhYW7pnYiIXMNgQkREBdbFixdRo0YNlwKJyr8UrMmxsJluwXL7OjxKPYWUwxtg2vMrbKm3ZZevVasWNm3ahBIlSrijdSIiekgMJkREVOCcPn0atWrVgtlslq31KFsLhmf6QKH2QOzCVwEAxl3LYYxZCXtakuzyOp0O586dQ8mSJXPdNxERPToGEyIiKhDsdjvGjx+Pzz77zKV6TUhV+LUcBI9STwEAhNUMTVBFWG5fhz3dKLu8TqfD8ePHUb58+Vz1TURE7sGR34mIKN9Nnz4dSqXSpVCi9C4GSAooPQ3wKPUUhNUM0/7fcGP+SzDHnYewZOa4vCRJWLVqFdLT0xlKiIgKEF4xISKifGG32/Huu+9i+vTpLtV7lKsDfXhP3P7jY0DYkXF+D5L+/h7pp7bBlip/y5ZarcahQ4fw1FNP5bZ1IiLKAwwmRET02O3btw8NGzZ0qdYjtG72a39LZo/s7tOwC5K3LYKkUCJl32rZ5atWrYqNGzeiTJkyueqZiIjyFoMJERE9Ng/zULvSuxiE1YwSnSdDodHBbslC6uH1MO3+BbBZIGyWHJcfOnQovvnmG3e1TkREeYzBhIiI8pQQAp9++ikmTpwIm80mW+8RWhcAkHnpIADAtP83KNQeMO75Bfa0ZNnlW7VqhfXr10OtVueqbyIierwYTIiIKM988803GD58uEu1HuXrwbdJb2hDqsKSeA03vx8JSaWGac+vEGb5cUyKFy+OS5cuwdvbO7dtExVZNpsNFkvOVyOJXKVWq6FUKl2uZzAhIiK3slqt6Ny5M9atW+dSvcLbH75NesOndjsAgN2SifSL+/4ZqT1ddnkvLy+sXbsWLVq0yE3bREWaEAJxcXFITk7O71aokPH19UVQUBAkSZKtLfDB5MaNG5g4cSLWr1+P9PR0VKxYEQsWLED9+vUBZP8gTZ06Fd9++y2Sk5PRpEkTzJ07F5UqVXKsIykpCWPGjMEff/wBhUKBbt264YsvvuC/qhERudmHH36ISZMmuVSrCa4Cc9xZ2FOTkH46Gl5PtUTKwXUw7V0Ne3qy7PI1a9bEunXrULp06Vx2TUR3Q0lAQAA8PT1d+hBJlBMhBNLT05GQkAAACA4Oll2mQAeTO3fuoEmTJmjZsiXWr1+PEiVK4Ny5c/Dz83PUzJo1C7Nnz8aiRYsQGhqKKVOmIDIyEidPnoSHhwcAoG/fvoiNjcWmTZtgsVgwaNAgDBs2DEuXLs2vXSMiKjSEEBg6dCi+//57l+p15evD0KQPNEEVcPPb4bAmxyHrxilcnzsYIsMku3yFChWwZ88eFCtWLLetExGyb9+6G0r4c0XupNPpAAAJCQkICAiQva1LEkKIx9HYo5g0aRKio6OxY8eO+84XQiAkJASvv/46xo8fDwAwGo0IDAzEwoUL8cILL+DUqVOoXr069u3b57jKsmHDBjz33HO4fv06QkJCZPswmUwwGAwwGo3Q6/Xu20EioifcjBkz8Oabb7pUqwkoD/+2o6ENrgwAsJszcXvjl8g4txvCkiW7fPPmzfHrr7/ygxPRI8jps0xmZiYuXbqEcuXKOT5IErlLRkYGLl++jNDQUMdFgwcp0CO///7776hfvz569OiBgIAA1KlTB99++61j/qVLlxAXF4eIiAjHNIPBgLCwMMTExAAAYmJi4Ovr6wglABAREQGFQoE9e/bcd7tZWVkwmUxOX0RE9P8uXrwISZJcCiVKb38AEizJcVD5hcBuzoRx9y+4MX8I0k9ukw0ltWvXRmZmJqKiohhKiPIQb9+ivPAw51WBDiYXL150PC+yceNGjBgxAq+88goWLVoEIPt+SAAIDAx0Wi4wMNAxLy4uDgEBAU7zVSoV/P39HTX/NWPGDBgMBscX718mIsr2yy+/QJIkVKhQQbZWV6Ehgvp/Bl35+gAEhDkdib/Nwo15g5G8bSHs6cYcl69fvz6MRiMOHToErVbrpj0gIqKCqkAHE7vdjrp16+J///sf6tSpg2HDhmHo0KGYN29enm538uTJMBqNjq9r167l6faIiAq6c+fOQalUokePHrK1HuUbIGjA5wjo/g60wZXgU/95SBpPSCotMi8fhF3mOZKuXbsiLS0N+/bt4+2zRPRIWrRogbFjxzq+L1euHD7//PN864dcU6CDSXBwMKpXr+40rVq1arh69SoAICgoCAAQHx/vVBMfH++YFxQU5HgbwF1WqxVJSUmOmv/SarXQ6/VOX0RERc21a9cQFhYGSZJQuXJl2O32HOsVXtkvJtHX7whtUEXYzRkwxqxE/LI3IczpENacb9nq06cP7HY7fv31V3h6erptP4io8Bo4cCAkSbrna9asWXjvvfceuJwkSVizZs3ja5RcUqDfytWkSROcOXPGadrZs2dRtmxZAEBoaCiCgoKwZcsW1K5dG0D2w1179uzBiBEjAADh4eFITk7GgQMHUK9ePQDA33//DbvdjrCwsMe3M0RETwi73Y4OHTpg/fr1LtXrKoZBU7IqjNuyb7NN3rEEWbHnkbJ/jezVESD7HffHjh1DqVKlctU3ERVNbdu2xYIFC5ymlShR4qEG9ntUFosFarU6z7dTVBToKyavvfYadu/ejf/97384f/48li5dim+++QajRo0CkJ12x44di/fffx+///47jh07hv79+yMkJASdO3cGkH2FpW3bthg6dCj27t2L6OhojB49Gi+88IJLb+QiIipKjEYjPD09XQolukqNsm/Z6jYFhrBuUPmXgqTRwZJ4GcYdP8qGkooVK+LgwYO4c+cOQwkRPTKtVougoCCnr1atWjndyvVv5cqVAwB06dIFkiQ5vgeA3377DXXr1oWHhwfKly+Pd999F1ar1TFfkiTMnTsXzz//PLy8vPDBBx/k4Z4VPQX6ikmDBg2wevVqTJ48GdOnT0doaCg+//xz9O3b11HzxhtvIC0tDcOGDUNycjKeeeYZbNiwwel1ZEuWLMHo0aPRqlUrxwCLs2fPzo9dIiIqkNavX48OHTrI3q4FAAovX+jK1UXxDuMAAPasdKQc+AO21DsQ5gzZ5ceMGcPfwUQFmBACGRZbvmxbp1bm+dvB9u3bh4CAACxYsABt27Z1XFnZsWMH+vfvj9mzZ6Np06a4cOEChg0bBgCYOnWqY/lp06Zh5syZ+Pzzz6FSFeiP0k+cAn80O3TogA4dOjxwviRJmD59OqZPn/7AGn9/fw6mSER0H7t370bjxo0hP6SVBI/y9ZF55TDsaclIPxMNS5PeSD+1HaZ9a2DPTJHd1ltvvYX333/fPY0TUZ7JsNhQ/Z2N+bLtk9Mj4al5uI+na9euhbe3t+P7du3a5VhfokQJANm3kf77eeN3330XkyZNwoABAwAA5cuXx3vvvYc33njDKZj06dMHgwYNeqgeyTVuCSY2mw3Hjh1D2bJlnUZlJyKigkcIgZ9//hn9+vWDxWKRqZagq9wIvo17QxNYHkmb5yPlwB+AQonYha9CmNNlt/fUU09h/vz5aNKkiXt2gIjoX1q2bIm5c+c6vvfy8kLv3r0fej1HjhxBdHS00+1ZNpsNmZmZSE9Pd7yU499j45F7PVIwGTt2LGrWrIkhQ4bAZrOhefPm2LVrFzw9PbF27Vq0aNHCzW0SEVFuJSUl4f3338dnn33mUr3SEIgSXd6ENjB7zBJ7VjqgVENSaV0KJO+99x5GjBjBQRGJnjA6tRInp0fm27YflpeXFypWrJjrbaempuLdd99F165d75n370cEvLy8cr0tur9HCia//PILXnzxRQDAH3/8gUuXLuH06dNYvHgx3nrrLURHR7u1SSIienRZWVlo3749tmzZ4kK1BJVfEKx3YmEzxsNmTIDdNxim/b8hZf9vsGemyq5h7dq1aN++fe4bJ6J8IUnSQ99O9aRRq9Ww2Zyfo6lbty7OnDnjlpBDj+aRzrrExETHPXl//vknevTogcqVK2Pw4MH44osv3NogERE9GpvNhtdff93F38sSPKs0hqFJb1iNCbj1a/Zze3e2LYI9PdmlQPLiiy9i8eLFueyaiCjvlStXDlu2bEGTJk2g1Wrh5+eHd955Bx06dECZMmXQvXt3KBQKHDlyBMePH+fzcY/JI70uODAwECdPnoTNZsOGDRvQunVrAEB6evpjeWc0ERE9WEpKCtq1aweVSuVSKPEoXx/Bg79Eic6ToSlRDtpS1aEqVhqSSgNr0nXZUDJ58mTY7XaGEiJ6YnzyySfYtGkTSpcujTp16gAAIiMjsXbtWvz1119o0KABGjVqhM8++8wxfh7lvUe6YjJo0CD07NkTwcHBkCQJERERAIA9e/agatWqbm2QiIhcN3LkSKeHQHOi8DTAnm6EyhAITYlysGelwbTvn1u2stJkly9fvjz27t3LZ0iIKN8sXLjwvtOjoqKcvr98+bLT9x07dkTHjh3vWS4yMhKRkQ9+vkb+DYaUG48UTKZNm4aaNWvi6tWr6NGjB7RaLQBAqVRi0qRJbm2QiIjkXblyBeXLl3dhHBIJnlWbwKduRyT8Mg0AkHp0IySlGmnHNrkUSPr06YM5c+bA19c3130TERHd9dDBxGKxoG3btpg3bx66devmNO/ue5+JiCjv2e12zJ8/HyNHjnShWoJn1WdgaPwCNCWyb0vwfroN0o5vgd1qRsr+NbJr8PPzw4ULF/haeCIiyhMP/YyJWq3G0aNH86IXIiJy0eLFi6FUKl0IJRIUOj2UhgAU7zgemhJlYc9MRfKOn5BydFP28yNWc45r0Ol0+O6775CUlMRQQkREeeaRbuV68cUX8f3332PmzJnu7oeIiHLw888/o1evXvKFkgK6Kk1gS46FOe48kGFC6tFNsKUkwnTgDwgXbtmqX78+Nm7cCH9/fzd0TkRElLNHCiZWqxU//PADNm/ejHr16t0z0Mynn37qluaIiCj7LVvDhw/HsmXL5Islxf/fslW8DDKuHEHC8reg0OmRtOVbwJolu4qqVavi0KFDTgOKERER5bVHCibHjx9H3bp1AQBnz551midJUu67IiIipKeno0WLFti3b58L1RIUOh8U7/A6dOXrAQBsmanIvHwEUGlhzzDJrqFFixbYtGkTVKrCPbAaEREVTI/012fr1q3u7oOIiP6RmJiI5557zrVAIimgCaoIc+xZ2DNMSDu1A5rgyjDtW42UA39AmDNkVzFhwgTMmjXLDZ0TERE9ulz9s9j58+dx4cIFNGvWDDqdDkIIXjEhInpEFosFI0aMwPfffy9fLCngVa0ZDI17QentjxtzB8OelYaMi/uRdmYnYMmUXcWOHTvwzDPPuKFzIiKi3HukYHL79m307NkTW7duhSRJOHfuHMqXL48hQ4bAz88Pn3zyibv7JCIq1KKiotCyZUsXKiVoSz+FYpGjoS5WCgBgyzBBU7IaMq8ehT09WXYNP//8M3r06JG7homIiNzsoV8XDACvvfYa1Go1rl69Ck9PT8f0Xr16YcOGDW5rjoiosPv9998hSZILoST7GRJAwGq6BZVvIGzpRtzZtgg35g1B5sX9sq/9ffnll2Gz2RhKiIgeQVRUFCRJQnJycn63Umg9UjD566+/8OGHH6JUqVJO0ytVqoQrV664pTEiosIqPT0dY8aMgSRJ6NSpU87FkgJeTz2LkKHzoQmqDACwGeNxa81M3Jj/Eky7V8o+R9KxY0dYLBbMnTsXCsUj/donIipQJEnK8WvatGn53SI9gke6lSstLc3pSsldSUlJ0Gq1uW6KiKgwyszMxNChQ/HTTz+5UC3Bq0ZLGMJfgNo/BADgU78jzPHnYc9KR8b5PbJrCA8Px86dOxlGiKjQiY2Ndfz3ihUr8M477+DMmTOOad7e3o7/FkLAZrPxjYNPgEf6a9W0aVP8+OOPju8lSYLdbsesWbNcvEeaiKhomTJlCnQ6nQuh5O4tW4C+YVeo/UOyb9mKWoDENTNhTzcCNkuOayhfvjzi4+Oxa9cuhhIiKpSCgoIcXwaDAZIkOb4/ffo0fHx8sH79etSrVw9arRY7d+7EhQsX0KlTJwQGBsLb2xsNGjTA5s2bndablZWFiRMnonTp0tBqtahYseIDX0iSnp6Odu3aoUmTJry9y00eKTrOmjULrVq1wv79+2E2m/HGG2/gxIkTSEpKQnR0tLt7JCJ6Itntdrz11luYOXOmfLGkgNdTLaH09odp90oAQPL2xVD7l0TKoT8hXHjLVr169bBgwQLUrFkzt60TET3xJk2ahI8//hjly5eHn58frl27hueeew4ffPABtFotfvzxR3Ts2BFnzpxBmTJlAAD9+/dHTEwMZs+ejVq1auHSpUtITEy8Z93Jyclo3749vL29sWnTpvveSUQP75H+Ka1GjRo4e/YsnnnmGXTq1AlpaWno2rUrDh06hAoVKri7RyKiJ4oQAqNGjYJSqXQhlEjwqtEKIUPnoXj712Bo3AsKnR4KnQEZlw7CtHeVbCjp2LEjhBDYv38/QwkRuc2nn36KUqVKoVSpUoiKinKad+nSJce8MWPG3LPs888/75j/XwsXLnTMW7VqVV61j+nTp6N169aoUKEC/P39UatWLQwfPhw1atRApUqV8N5776FChQr4/fffAWQPGv7zzz/jhx9+QJcuXVC+fHm0atUKvXr1clpvXFwcmjdvjuDgYPzxxx8MJW70SFdMrl69itKlS+Ott96677y7qZOIqKgZMmQIfvjhB/lCSQGFhze8a7eDX7N+AABbWjJMe3+F3ZIp+4YtAGjVqhWWLVuGEiVK5LZtIqJ7mEwm3LhxA0D2LU7/ZrPZHPPu3Llzz7K3bt1yzP+vtLQ0x7z09HR3tuykfv36Tt+npqZi2rRpWLduHWJjY2G1WpGRkYGrV68CAA4fPgylUonmzZvnuN7WrVujYcOGWLFiBZRKZZ71XxQ9UjAJDQ1FbGwsAgICnKbfvn0boaGhsNlsbmmOiOhJIITAt99+i+HDh8sXK5TQVWiIjHMx2SO1H9sEn1qRSDn4xz+3bGXJruLll1/GjBkz4Ovrm/vmiYgeQK/Xo2TJkgBwz8uNlEqlY56fn989y5YoUcIx/7+8vLwc8/LyaoOXl5fT9+PHj8emTZvw8ccfo2LFitDpdOjevTvM5ux/CNLpdC6tt3379vj1119x8uRJXqV2s0cKJg8a4T01NRUeHh65boqI6Enx5Zdf4pVXXpEvVCjh9dSzMDTuBbVvEG6t/h/Sz+6CsNlw47uXXbpCMnPmTEycONENXRMRyRs3bhzGjRt333mhoaG4fv36A5e9e3vU/QwcOBADBw7MbXsPLTo6GgMHDkSXLl0AZH9uvXz5smN+zZo1YbfbsW3bNkRERDxwPTNnzoS3tzdatWqFqKgoVK9ePa9bLzIeKpjcPTklScKUKVOcUq7NZsOePXtQu3ZttzZIRFQQLVy4EIMGDZIvlBRQFyuNEt2mQO0bBACwpd0BNDpAqYI9wyi7ii5dumDZsmV8HTsRUS5UqlQJq1atQseOHR2fZe12u2N+uXLlMGDAAAwePNjx8PuVK1eQkJCAnj17Oq3r448/hs1mw7PPPouoqChUrVr1ce9OofRQweTQoUMAsq+YHDt2DBqNxjFPo9GgVq1aGD9+vHs7JCIqICwWC15++WXXniFRKKH0LgabKQGWxCuwZ5hgU2th3PMrUg+th7DK37I1ZswYzJ492w2dExHRp59+isGDB6Nx48YoXrw4Jk6cCJPJ5FQzd+5cvPnmmxg5ciRu376NMmXK4M0337zv+j777DOncFK5cuXHsRuFmiSEEA+70KBBg/DFF19Ar9fnRU8FjslkgsFggNFoLDL7TETOJk6ciFmzZskXKpTwrvEsDOG9kHHpIJL++hoAoA4oD2vSDZcCSbt27bB69WpeISEit8nps0xmZiYuXbqE0NBQ3pJPbvcw59cjPWOyYMECAMD58+dx4cIFNGvWDDqd7oHPnhARPYnOnz+PHj164PDhw/LFkgJe1VvA95k+UP1zy5aufH0oDYGwpdyGJeGi7CqWLFmCPn365LJrIiKiJ9MjBZOkpCT06NEDW7duhSRJOHfuHMqXL48hQ4bAz88Pn3zyibv7JCJ6bO7cuYMaNWrg5s2b8sWSEgoPL9gzTFAXKwWVbxBsqXdg3PMLUg9vcOkKycsvv4xPP/3U5TfCEBERFUaPNMDi2LFjoVarcfXqVacH4Hv16oUNGza4rTkiosftyy+/hL+/v3woUajgXSsSAb2mw56ZCgAw7vkVt//6Gjfmv4SU/b/JhpIGDRrAarVi7ty5DCVERFTkPdIVk7/++gsbN268ZzTPSpUq4cqVK25pjIjocYqKikLr1q1htVpzLpSU8H46AobwXlAZssdy0lVqhKxrJ2DPSkPqoT9lt9WyZUv8/vvv8Pb2dkfrREREhcIjBZO0tLT7DoiTlJTEhzWJ6ImRkpKC5s2bO944mKN/RmpX+YWgWNsxAABrahJMu39BxoV9gM0iu4rXX38dH3/8cW7bJiIiKpQeKZg0bdoUP/74I9577z0A2eOa2O12zJo1Cy1btnRrg0RE7paRkYEyZcogMTFRvlihgleNZ5F55QhsxniYM0xIOx2NrOvHkXpkI4QLAyNOnToV06ZNy33jREREhdgjBZNZs2ahVatW2L9/P8xmM9544w2cOHECSUlJiI6OdnePRERucfnyZTzzzDO4ceOGfLFCBe+aETCE94TKEIDU43/j9rpPodDpkbj2I8Amc8sXgL59+2Lx4sV8WyEREZELHimY1KhRA2fOnMGcOXPg4+OD1NRUdO3aFaNGjUJwcLC7eyQiypVbt26hcePGOH/+vHyxQgGFzheBPadBE1AeAGBNuY2sm6cBhQr2DJPMCoAJEya4NuYJEREROTxSMAEADw8PtG7dGrVq1YLdbgcA7Nu3DwDw/PPPu6c7IqJcyMjIQMOGDXH8+HH5YqUKmhKhMMedgz0tCemno6HQGWDavRIpRza69AzJV199hVGjRrmhcyIioqLnkYLJhg0b0K9fPyQlJeG/A8dLkgSbzeaW5oiIHoUQAiNGjMD8+fPli5UqeNdsDUN4T0AI3PhmGGC3IvXYZhj3/ArY5W/Z6ty5MxYsWABfX9/cN09ERFREPdI4JmPGjEHPnj1x8+ZN2O12py+GEiLKL3a7HePHj4dCoZAPJQoFdBXDUHLYtygWOQoqfQlAoYQ2uBKgUMKWels2lEyaNAk2mw2rV69mKCGiIu/QoUOYMWMG3nrrLXzzzTe4c+dOnm9z4MCBkCQJL7/88j3zRo0aBUmSMHDgwDzvozCTJAlr1qx5LNt6pCsm8fHxGDduHAIDA93dDxHRQxNC4Pnnn8fatWvlixVKKLTZI7Xb0pKh9CkOa0oijDErkXr0L5du2frggw8wefJkPtRORATgypUr6N+/P7Zv3+40fezYsRg3bhymT58OheKR/i3cJaVLl8by5cvx2WefOQarzczMxNKlS1GmTJk82647mM1maDSa/G6jwHiks6R79+6IiopycytERA8nKysLHTp0gEKhkA8lShW86zyHkGHfQOntDwAwx57BrVUf4Mb8oUg9tE42lLzxxhsQQuDNN99kKCEiAhAbG4umTZveE0qA7Of8PvjgA4wePTpPe6hbty5Kly6NVatWOaatWrUKZcqUQZ06dRzT7HY7ZsyYgdDQUOh0OtSqVQu//PKLY77NZsOQIUMc86tUqYIvvvjCaVtRUVFo2LAhvLy84OvriyZNmjgGFx84cCA6d+7sVD927Fi0aNHC8X2LFi0wevRojB07FsWLF0dkZCQA4Pjx42jXrh28vb0RGBiIfv36Ob3SvkWLFhgzZgzGjh0LPz8/BAYG4ttvv0VaWhoGDRoEHx8fVKxYEevXr3favivrfeWVV/DGG2/A398fQUFBTq+3L1euHACgS5cukCTJ8f2RI0fQsmVL+Pj4QK/Xo169eti/f7/M/1PyHimYfPXVV1i1ahUGDhyITz75BLNnz3b6IiLKS0IIdOvWDR4eHli3bl3OxQoVvOu0R8nh36FYm5FQGwLhU7c9FDo9oFAi4/xu2UBSsmRJmM1mfPjhh27cCyKiJ9+UKVNw7do1AEDZsmXx5ZdfYv369Rg1ahSUSiUAYO7cudizZ0+e9jF48GAsWLDA8f0PP/yAQYMGOdXMmDEDP/74I+bNm4cTJ07gtddew4svvoht27YByA4upUqVwsqVK3Hy5Em88847ePPNN/Hzzz8DAKxWKzp37ozmzZvj6NGjiImJwbBhwx76H6oWLVoEjUaD6OhozJs3D8nJyXj22WdRp04d7N+/Hxs2bEB8fDx69ux5z3LFixfH3r17MWbMGIwYMQI9evRA48aNcfDgQbRp0wb9+vVDeno6ADzUer28vLBnzx7MmjUL06dPx6ZNmwD8/4utFixYgNjYWMf3ffv2RalSpbBv3z4cOHAAkyZNglqtfqjjcF/iEXz33XdCpVIJb29vUbZsWVGuXDnHV2ho6KOsskAzGo0CgDAajfndClGRduHCBVGrVi0BQP5LoRQKnV5IKo0oNWqxKDtxrSg5cqHwrvOcgELp0jrKly8vDh48mN+7TUSUazl9lsnIyBAnT54UGRkZD71OnU4nAAgfHx8RGxvrNP+LL75w/D4dOHBgrvp/kAEDBohOnTqJhIQEodVqxeXLl8Xly5eFh4eHuHXrlujUqZMYMGCAyMzMFJ6enmLXrl1Oyw8ZMkT07t37gesfNWqU6NatmxBCiNu3bwsAIioqKsde/u3VV18VzZs3d3zfvHlzUadOHaea9957T7Rp08Zp2rVr1wQAcebMGcdyzzzzjGO+1WoVXl5eol+/fo5psbGxAoCIiYl55PUKIUSDBg3ExIkTHd8DEKtXr3aq8fHxEQsXLrzvcfivhzm/HukZk7feegvvvvsuJk2alKf3DBIRAdlXSHr06IFff/1Vvliphk+tSNhtFqQd2QgASN75EyApkHpsk+zAiJIkYcyYMXj//ffh4+PjjvaJiAqlkydPIiMjAwDQrVs3BAUFOc1/6aWXMH78eFgsFuzduzdPeylRogTat2+PhQsXQgiB9u3bo3jx4o7558+fR3p6Olq3bu20nNlsdrrda86cOfjhhx9w9epVZGRkwGw2o3bt2gAAf39/DBw4EJGRkWjdujUiIiLQs2fPhx7Dr169ek7fHzlyBFu3boW3t/c9tRcuXEDlypUBAE8//bRjulKpRLFixVCzZk3HtLvPfickJDzyegEgODjYsY4HGTduHF566SUsXrwYERER6NGjBypUqJDjMq54pGBiNpvRq1cvhhIiylNCCMybNw8jR46UL1ao4FO7LfSNekDlUwy21DtIO/43FBpddiD5Z7ylnHz33XcYMmSIGzonIir8xL+GjLh729a/KRQKx21O4j/DS+SFwYMHO55nmTNnjtO81NRUAMC6detQsmRJp3larRYAsHz5cowfPx6ffPIJwsPD4ePjg48++sjpNrQFCxbglVdewYYNG7BixQq8/fbb2LRpExo1agSFQnHPflos994q7OXldU9vHTt2vO/twv8OPf+9VUqSJKdpd4/13fEFc7Neu8zfzGnTpqFPnz5Yt24d1q9fj6lTp2L58uXo0qVLjsvJeaRgMmDAAKxYsQJvvvlmrjZORPQga9asce0X3D9v2fJtNgA+tbMfIrSaEmCMWQkIu0sjtY8ZMwYzZsy4548FERE9WLVq1aDVapGVlYVffvkFM2fOdLpKsWjRIpjNZgD3XiXIC23btoXZbIYkSY6Hyu+qXr06tFotrl69iubNm993+ejoaDRu3NjpH8MuXLhwT12dOnVQp04dTJ48GeHh4Vi6dCkaNWqEEiVK3DOg7+HDh2Wfvahbty5+/fVXlCtXDirVI499nmfrVavV9x0OpHLlyqhcuTJee+019O7dGwsWLMh1MHmkSx42mw2zZs1C8+bNMWbMGIwbN87pK6/MnDkTkiRh7NixjmmZmZkYNWoUihUrBm9vb3Tr1g3x8fFOy129ehXt27eHp6cnAgICMGHCBFit8oOmEdHjJYTAK6+8AkmSZH+5SSoNdJXDAbsN9gwTUg7+AYsxDrc3zsGNb4Yh9fB6wJ7zuErvv/8+hBCYPXs2QwkR0UPy9fXFCy+8AAAwGo1o3LgxfvjhB2zfvh1vvPEGxowZ46gdPnx4nvejVCpx6tQpnDx58p4rOD4+Phg/fjxee+01LFq0CBcuXMDBgwfx5ZdfYtGiRQCASpUqYf/+/di4cSPOnj2LKVOmOB72BoBLly5h8uTJiImJwZUrV/DXX3/h3LlzqFatGgDg2Wefxf79+/Hjjz/i3LlzmDp16j1B5X5GjRqFpKQk9O7dG/v27cOFCxewceNGDBo0KFfjA7prveXKlcOWLVsQFxeHO3fuICMjA6NHj0ZUVBSuXLmC6Oho7Nu3z3EccuOR4tOxY8cc9+P994Dn1Ss09+3bh/nz599zH9xrr72GdevWYeXKlTAYDBg9ejS6du2K6OhoANkhqn379ggKCsKuXbsQGxuL/v37Q61W43//+1+e9EpED0cIgS5duuC3336TrZVUGnjXioQ+rDuU3v6IW/w6zLFnYUtNws1vhsuGEQBYuHAhBgwY4I7WiYiKtPfeew8bN25EXFwczp07d9/bYQcMGIBnnnnmsfSj1+sfOO+9995DiRIlMGPGDFy8eBG+vr6oW7eu4w6g4cOH49ChQ+jVqxckSULv3r0xcuRIxyt4PT09cfr0aSxatAi3b99GcHAwRo0a5QhdkZGRmDJlCt544w1kZmZi8ODB6N+/P44dO5ZjzyEhIYiOjsbEiRPRpk0bZGVloWzZsmjbtm2uHptw13o/+eQTjBs3Dt9++y1KliyJs2fP4vbt2+jfvz/i4+NRvHhxdO3aFe++++4j93qXJB7HTX+5lJqairp16+Lrr7/G+++/j9q1a+Pzzz+H0WhEiRIlsHTpUnTv3h0AcPr0aVSrVg0xMTFo1KgR1q9fjw4dOuDmzZuOh4LmzZuHiRMn4tatWy4NamMymWAwGGA0GnM84Yno4c2ZM8e1d9wrVNAEV0KJzpOh+mccEqspAUl/zUfGpX0uPUPSu3dv/PTTT3w+joiKnJw+y2RmZuLSpUsIDQ2Fh4fHQ6/73Llz6NOnzz3jWKjVaowePRqzZs1y6y1K9GR5mPPriThLRo0ahfbt2yMiIgLvv/++Y/qBAwdgsVgQERHhmFa1alWUKVPGEUxiYmJQs2ZNp1HqIyMjMWLECJw4ccLpTQx3ZWVlISsry/G9ySR/jzoRuc5ut2PgwIFYvHixfLFSDaXOB7bUJJhjzwE2K6zGBBhjViD12BbALn9bZvfu3bFixQoGEiKiPFCpUiXs3bsXu3btwvr165Gamopy5cqhd+/eTp+/iOQU+GCyfPlyHDx40Okev7vi4uKg0Wjg6+vrND0wMBBxcXGOmv/+UNz9/m7Nf82YMcMtl6OIyFlKSgratm2LXbt2ydZKKg28a7eFPqw7Ug6ugylmBWC34taa/8GccNmlQDJy5Eh8+eWXDCRERHlMkiQ0adIETZo0ye9W6AlWoP9aX7t2Da+++iqWLFnySJcWH9XkyZNhNBodX3dHNCWiR5OZmYkXX3wRer1ePpQoVPCu1wEhw7+Df6thUHn7w7NKYyi9/QFJAXPcedlQMm3aNFgsFsyZM4ehhIiI6AlRoK+YHDhwAAkJCahbt65jms1mw/bt2/HVV19h48aNMJvNSE5OdrpqEh8f7xjkJygo6J5Bfe6+teu/AwHdpdVqHe+0JqJHZ7PZ8Morr+Drr7+WL1aqodDoYM8wQRtUGSpvf1iN8TDuWoHU43+7dIVk8ODB+OKLL+47mBQREREVbAU6mLRq1eqeNxkMGjQIVatWxcSJE1G6dGmo1Wps2bIF3bp1AwCcOXMGV69eRXh4OAAgPDwcH3zwARISEhAQEAAA2LRpE/R6PapXr/54d4ioiMjMzMTYsWMxf/582VpJpYV37bbwKPUUbq3JflNe8s4lyLx6FGknolwKJFFRUWjWrFmevRWQiKgoeALeh0RPoIc5rwp0MPHx8UGNGjWcpnl5eaFYsWKO6UOGDMG4cePg7+8PvV6PMWPGIDw8HI0aNQIAtGnTBtWrV0e/fv0wa9YsxMXF4e2338aoUaN4VYTIzSwWC1asWIF+/frJFys18Kn7HAwNu0Hp7QcA0IRUhfXOTdhMt5B2bLPsKtq1a4fffvtNdvAqIiJ6sLu/Q9PT06HT6fK5Gyps0tPTAdw7wvz9FOhg4orPPvsMCoUC3bp1Q1ZWFiIjI51uG1EqlVi7di1GjBiB8PBweHl5YcCAAZg+fXo+dk1UuNy6dQvvvvsu5syZI1+sUEGh9YRHmZrwf/YlAIA1OQ7GmBUwx54FhPxrfytUqIDdu3c7jTBMRESPRqlUwtfXFwkJCQCyx+vgFWjKLSEE0tPTkZCQAF9f33sGvbyfJ2Ick/zGcUyI7u/y5csYMWIENmzYIFsrqbXwqtka6SeiYM9KBSQFAnpOR9rJbUg78bdLAyO++OKLmDdvHkdpJyJ6SHKfZYQQiIuLQ3Jy8uNvjgo1X19fBAUFuRR2n/grJkT0+NntdkRERGDr1q2ytZJaC+/az8EQ1hVKLz+ovP2RvP1HKDx8kPDzOy5dIRkyZAi++eYbvmGLiCiPSJKE4OBgBAQEwGKx5Hc7VEio1WqXrpTcxWBCRC5LTEzEsGHDsHr1avlipQoq72II7PMhVPrsW64sd2JhTrwKSArYM4yyq/j888/x6quv5rZtIiJykVKpfKgPkkTuxGBCRLLsdjvatGmDLVu2yNZKai1UfiVhSbgIqzEeGRf3waNsbRhjViDtxFaXbtkaM2YMPvvsM/5xJCIiKkIYTIjogRITE9GmTRscOnRItlZSa+FTpz30DbvCakpA3I/jAADGmJVI2jTPpUDyzjvvYOrUqbxli4iIqAhiMCGiewghMHbsWMyePVu+WKmGV7UW8Gs5EEpPAwDAbk6HunhZWG5fg82UILuKsLAwrF+/Hn5+frltnYiIiJ5QDCZE5GTlypXo2bOnfKFKA4XaA/YME4Q5DUpPAyx3bsK4a3n2wIguPNTeoUMHLFiwgK/9JSIiIgYTIgKSk5PRrVs3/P3337K1ktoDPnXbw6duB8ftWulndyFh1XvIOL/PpUASFhaGLVu28LW/RERE5MBgQlSEJScno0+fPli/fr18sUoDfb2O0Dfs6rhly+vpNkg9vB72jBRknNsju4qXXnoJc+bMgUajyW3rREREVMgwmBAVQTabDe+88w7+97//yRf/c8sWJAmGJr2hUHvAknT3lq2tAOTHaH3xxRexePHi3DdOREREhRaDCVERYrfbMXDgQJdCgqTRwadOe1huX0PG+eyrIcZdK2BLSUTayW0u3bJVv359xMTEQKXirxoiIiLKGT8tEBUBSUlJiIiIcO21vxodfOp2gL5hFyh1ephvXUbG+T1Q6PQw7f4Frl4h+eGHH6BWq93QPRERERUFHCyAqJCbNm0aihUrJh9KlGoodHoU7zwZfs0HQKnTw3L7+j9hRII9wwS5UDJw4EDY7XYsXryYoYSIiIgeCq+YEBVCWVlZmDBhAr788kvZWkmjg0eZp5Fxfg/sGRak7P8Nan1A9jMkp7a7dMvWyJEj8dVXX0GSJHe0T0REREUQgwlRIWKz2dC5c2esXbtWtvbft2wpNDrc+GY4bKYEmGPP4eZ3I+DKLVtff/01hg8fzpHaiYiIKNcYTIgKgdTUVHz77bcYN26cfLFSDY+ytVC8w+tQ6nwAAJbb16DSB8BmuvXPLVs569OnDxYsWMDX/hIREZHbMJgQPcGuXbuGuXPnYsaMGfLFag8o1FrY040w3zwNSaGE5fY1JEcvR/rpHS7dsvXuu+/itddeg4+Pjxu6JyIiIvp/DCZET6ATJ05g4MCB2L9/v2ytpNFBX+95+DTojDt/f4+045thz0xF/Iq3YI674FIgGT58OObNm+eO1omIiIjui8GE6Aly/vx5REZG4uLFi/LFKi0MDTrDp0Fnxy1bXtWaIuPiPtjTTTDHnpNdxZ49e9CwYcPctk1EREQki8GE6AlgNptRsWJFXLt2Tb5Ypc2+ZSvDBI9ytaDU+cCceBXGXcuRfnqnS1dIpk+fjilTprihcyIiIiLXMJgQFWA2mw0tWrTAzp07ZWsljSf09Z+H0qc4kjZ+BQC4s3UBVH7BLgeS1q1bY+XKlTAYDLnunYiIiOhhMJgQFUDp6ekYMGAAfvnlF/lijScM9bOfIVF6eEPYbTDuXglhzoA57jzMcfK3bJUqVQoHDx5EiRIl3NA9ERER0cPj4ANEBYgQAr1794aXl5d8KFFpodDp4VOrDXybvgilhzfMiVeQ+MfHsBkTXBqp/fnnn0d8fDyuXbvGUEJERET5ildMiAqIxYsXo3///rJ1ktYL3jUjkHJwLewZWUg9shGelcORcuAPpJ+OhisDIw4ZMgTffvstR2onIiKiAoPBhCifLV++HL1795atk7Re0NfvBH3956Hw8IawWZB66E9ISjXil0x0aVsjRozAhx9+yHFIiIiIqMBhMCHKJ8uWLUOfPn3kC1VaqH2DENhnpuO1v+ZbV2A1JgCASyO1T506FdOmTctNu0RERER5isGE6DEbOXIk5s6dK1un0HpB4e0P6+1rsCRegfnmaSj1ATBGL0X6mV1w5ZatypUr48iRI/Dw8HBD50RERER5h8GE6DE4dOgQunXrhkuXLsnWKrRe8GnQCfr6nZB55Qhurf4fACBp83xYk+PhSiBp2bIl/vrrL6hU/BEnIiKiJwM/tRDlESEE/v77b3Tq1AlpaWmy9ZJKC+86z8G3yQtQaL0AAErfICgNgbAZ42FNjpNdxzfffIOhQ4fmunciIiKix43BhCgP3Lp1C9WrV0diYqJsraTRQVKqs58Vsdug0HrBnHAJxuhlSD8bA7krJGq1Gj/++CNeeOEFN3VPRERE9PgxmBC5UUZGBtq3b4+tW7fK1io8vOHToDO8qjZD7IIxAICUw+thTY5FxoX9kAskKpUK27ZtQ+PGjd3ROhEREVG+YjAhcoO4uDjUrl0b8fHxsrWS1hP6hl2hr/c8FFpPAIBnlSbIuLgP9owUZFzYJ7uOefPmYfjw4bnum4iIiKigYDAhygUhBCIiIvD333/L1kpqLSSVFgpPAwzhPSFJCpgTLiF551JknItxaXvvvPMOpk6dCoVCkdvWiYiIiAoUBhOiR5CamoqWLVti//79srUKDx/41H8eGRf2wRx7FvYME0x7VyPrxmlknNsNV96y9cEHH+DNN990Q+dEREREBRODCdFDsFqtaNu2LbZs2SJbq/Dwgb5BZ/jU6wiF1hPa4MpIWDkVCp0PkqMWuLS9oUOHYubMmfD3989t60REREQFGoMJkQssFgs6d+6MP//8U7ZWUntAUmsR2OsDaALKAQDM8RdgOpS9rD0jRXYd33//PQYPHpyrnomIiIieJAwmRDmwWq3o0aMH1qxZI1ur0OmhCa6MzIv7ISyZSDn4B3zqPJf9DMn5PS5tr2/fvvjpp59y2TURERHRk4fBhOg+4uLi0KNHD+zcuVO2VqHTQ9+gC3zqtocQdtyYOxjCnI70szFIPbLRpe0NGDAAc+fOhU6ny23rRERERE8kBhOif7HZbOjUqRPWrVsnWyupPeBZKRz+kSOh0GQHiqy481D5BsGScDF7wEQZs2bNwuuvv863bBEREVGRx2BChOy3bLVv3x7bt2+XrZU8fCBJEuwZJmTdPA1JpUFW3HkYo5ci4/xe2eVVKhV+//13tGvXzh2tExERERUK/GdaKvK+/vpr+Pj4yIYShU4P3+YDUGrED9AEhAIArMmxiFs8AXGLxroUSn766SdYLBaGEiIiIqL/4BUTKpKEEBg9ejS+/vpr2VpJ4wlDeE/41G3vuGXLs1pzmOMvwp6ZAnPcWdl1hIWFYfPmzfD29s5170RERESFEYMJFSlCCNSpUwdHjhyRrZU0OkhKFeyZafCsFAaFRoes2HPZt2xd2OfS9saPH49p06bBy8srt60TERERFWoMJlQkxMbGolmzZjh//rxsrcLTAH3DrhBWM4w7lwAAkrZ8B0mhcDmQ/Pjjj+jXr1+ueiYiIiIqShhMqNB75plnEB0dLVsn6fQwhHWDT532UGg8YDdnwLRvDSRJgcxLB1za1scff4xx48ZBkqTctk1ERERUpDCYUKF0/PhxdO3aFefOnZOtlTQ6SAoVDOG9oG/QCQCQFXsWxp1LIbLSIFzY3pQpUzB9+vRcdk1ERERUdBXot3LNmDEDDRo0gI+PDwICAtC5c2ecOXPGqSYzMxOjRo1CsWLF4O3tjW7duiE+Pt6p5urVq2jfvj08PT0REBCACRMmwGq1Ps5docdo8ODBqFmzpmwoUXga4F3veQhzBuyZKTDtW43MaycRv3Ia4n4ch4yL+2W3NXr0aFitVoYSIiIiolwq0MFk27ZtGDVqFHbv3o1NmzbBYrGgTZs2SEtLc9S89tpr+OOPP7By5Ups27YNN2/eRNeuXR3zbTYb2rdvD7PZjF27dmHRokVYuHAh3nnnnfzYJcojQgh88MEHkCQJCxYsyLFW4ekL35aDUfLl71EsYhh0FRtmr8OahfilbyDThUAyatQomM1mfPnll1AqlW7ZByIiIqKiTBJCuHKnSoFw69YtBAQEYNu2bWjWrBmMRiNKlCiBpUuXonv37gCA06dPo1q1aoiJiUGjRo2wfv16dOjQATdv3kRgYCAAYN68eZg4cSJu3boFjUYju12TyQSDwQCj0Qi9Xp+n+0gPJy0tDS1atMD+/fJhQtLooA4IRWDP6VCoPQAAWTfPIGnr9zBfP+nS9n777Td07NiRz5AQEdEThZ9l6ElQoK+Y/JfRaAQA+Pv7AwAOHDgAi8WCiIgIR03VqlVRpkwZxMTEAABiYmJQs2ZNRygBgMjISJhMJpw4ceK+28nKyoLJZHL6ooLl8OHD8PT0hLe3t2woUXj5QmUIgjBnwHz9JKxJN5F18wziV05F3OLXXQola9euhRACzz//PEMJERERUR54YoKJ3W7H2LFj0aRJE9SoUQMAEBcXB41GA19fX6fawMBAxMXFOWr+HUruzr87735mzJgBg8Hg+CpdurSb94Ye1bFjx6DX61GnTh1kZGTkWKvw8oVfyyEoOfw7+PzzUDsA3FozA3GLX0fmRfk3bb388ssQQqB9+/a57p2IiIiIHuyJeSvXqFGjcPz4cezcuTPPtzV58mSMGzfO8b3JZGI4yWd//vknunTpArPZLFubPVJ7D/jUex4KtRYAoAkoB4WXH+xpd2BNjpVdR6tWrbB48WIEBwfnunciIiIikvdEBJPRo0dj7dq12L59O0qVKuWYHhQUBLPZjOTkZKerJvHx8QgKCnLU7N2712l9d9/adbfmv7RaLbRarZv3gh5FVlYWQkNDERsrHyYkDy9IkhL2DBMgKaFQa5F14zSSo5ci89JBl7Y3a9YsjB8/nrdrERERET1mBfpWLiEERo8ejdWrV+Pvv/9GaGio0/x69epBrVZjy5YtjmlnzpzB1atXER4eDgAIDw/HsWPHkJCQ4KjZtGkT9Ho9qlev/nh2hB6KEALr1q2DwWCAh4eHbChRevnB79mXENjrA9gzUgAAppgViFv2FuJ+Gu9SKBk1ahTsdjsmTJjAUEJERESUDwr0FZNRo0Zh6dKl+O233+Dj4+N4JsRgMECn08FgMGDIkCEYN24c/P39odfrMWbMGISHh6NRo0YAgDZt2qB69ero168fZs2ahbi4OLz99tsYNWoUr4oUQCkpKShdurTjRQc5UegMMDTuCe9abR23bGnLPg1L/EXYM1OQdfVIjssrlUp89dVXGD58OMMIERERUT4r0K8LftCHxQULFmDgwIEAsgdYfP3117Fs2TJkZWUhMjISX3/9tdNtWleuXMGIESMQFRUFLy8vDBgwADNnzoRK5Vou4yv28p7VakW7du2wefNm2VpJ4wlJqYQmoDwCX/gAAJB54xSMO5cg8/Jhl7YXFRWF5s2b56ZlIiKiJwY/y9CToEAHk4KCP8x5586dO6hZsyZu3LghW6v09odPg65IOfgHbMbs54T82oxExtldLgeSrl274rvvvoOfn19u2iYiInqi8LMMPQkK9K1cVHilpKQgJCQEqampsrVKb3/ow7rDp3ZbSCoNlB6euL1+NhQe3rjz19cuba9Xr1748ssvUaJEidy2TkRERER5oEA//E6FjxACAwcOhF6vlw0lktYLSp/iCB7wBfT1n4ek0iDz+gmknogCANgz5UPN/PnzIYTA8uXLGUqIiIiICjBeMaHH4uLFi6hbt65LD7UrvYtB5V8SWVePwpaVhpQjG+BR9mkYdy5F5pWcH2gHgODgYBw7dgzFihVzR+tERERE9BgwmFCeOnToENq0aYPExETZWqV3MegbdYdPrUhYU5Nw85thgLAj5eBaGHcukV2+ZMmSOHXqFHx8fNzROhERERE9Rgwm5HZ3xyEZPHgwbt26JVsvab3gXbMV/JoPgqRSAwBsKbehMgTBmnwT9vScr7IYDAbs2LEDNWvWdEv/RERERPT4MZiQWy1btgz9+vWDzWaTrVV4+QE2K+yZKTDHnQeUKmReO559y9bVo7LLBwcH48SJE3zDFhEREVEhwGBCbmG321GpUiVcvHhRtlapD4ChUQ941WiJuEWvZQ+GeP0kYn98DZa487LL+/v74+LFizAYDO5onYiIiIgKAAYTypXo6Gi0b9/etZHavfzg2/RFeNdoBUmZfep5Vm6MlEPrYM9MlQ0l/v7+OHfuHPz9/d3SOxEREREVHAwm9Eg2b96M1q1bu1QrefhAkgBhzoBnpUaQlCpkXD4EY/RyZF0/Ibu8h4cHzp8/j5IlS+a2bSIiIiIqoBhM6KHExMSgRYsWMJvNsrUq3yAYGvdCVux5pB5aBwBI2jQXtpTbyLpxSnZ5SZKwfPly9OzZM9d9ExEREVHBxmBCLjl9+jRq1arlUiBR+BSHb5Pe8K4ZAUmhhEe5Okg9shGSWov00ztll69bty4WLVqEGjVquKN1IiIiInoCMJhQjq5du4YGDRogPj5etlbSekOSJPhHDINX5cYAgIyL+5EcvQywWyGyrDkur1arkZqaCo1G45beiYiIiOjJocjvBqhgSkxMRMWKFVGmTBnZUKL0KQ7vOs9BZKXCnpkC064VSL90GHE/jUfCymkw3zwju73p06fDbDYzlBAREREVUbxiQk4yMzNRq1YtnD17VrZW6VMMhkY94P10JKBUwXzzDMzxF2BJjsetn9+WXd7b2xunTp1CqVKl3NE6ERERET3BeMWEAAAXLlyAv78/dDqdbCiRNDp4VGiAksO+hU/dDpBUamRdPQYhBABAZKXKbm/BggVISUlhKCEiIiIiALxiUuQlJiaicuXKuHPnjmyt5GmAJClgT7uDzMuHYcswwZoch+SdS5B19ZhL2xs7diw+/fRTSJKU29aJiIiIqBBhMCmi7HY76tWrh8OHD8vWKjx9YQjrBu867WCMXgbTnl8BmwXxy9+CNemG7PJKpRLHjh1DtWrV3NA5ERERERVGvJWrCFq3bh2USqVsKJE0OhhaDETJl7+DvmEXKNQe8ChTEwpPAwC4FEpGjRoFi8XCUEJEREREOeIVkyLkq6++wpgxY2TrJJUWUKogstKg9ikBhdoDWTfPIHnnEmReOii7vI+PD8aPH4+xY8dCr9e7o3UiIiIiKuQYTAq5xMREdOjQAXv27JGtlTQ66Os9D01QRdxa/QEA4M72H5Fy/G9kXTogu7xWq8WxY8dQqVKlXPdNREREREULg0khdeXKFdSuXRvJycnyxUo19PU6QB/WHUpPA4QQUAeUhy01CTZjPGzGnMcxUavVWLhwIfr06eOe5omIiIioyGEwKWRsNhtat26NrVu3yhcrVJBUaugqNIBfyyEAAMvt60iOXgpLwkXZxVUqFY4fP44qVarktm0iIiIiKuIYTAqJtLQ0hIeH49gx+df2ShodvGtGIPX4FoisdKSf3onMOs8h9dhmpB3/GxB22XXMmTMHI0eOdEfrREREREQMJk86i8WCpk2buvwMiU/dDtA37AKlTg+FTg/jziVQevsjftlbgLDluLxSqcRvv/2G9u3bu6t9IiIiIiIADCZPrMzMTEyZMgUff/yxfLFKA6WnAUH9PoXK2w8AYEm6AUviNQASbCmJOS5eokQJHD16FEFBQW7onIiIiIjoXgwmT5i1a9eif//+Lo3UrvDwhtKnOCy3LsNmuoXMi/ugLVkNxl0rkHZqu+wtWwaDAWfPnkVAQIC72iciIiIiui8GkyeA1WrF9u3b0bFjR6Snp8vWKzwN0NfvDJ+67WG+dQXxSyYAAIy7V8KaHC8bSLRaLfbt24eaNWu6pX8iIiIiIjkc+b0As1gsePvtt6HRaNCqVSvZUCJpvaAP64aSL38PQ3gPKLSeUKi1UBUrDQCw3omVDSWffPIJMjMzGUqIiIiI6LHiFZMCKjY2FlWqVEFKSopsrcLLD7CaYc9Kg9V065+R2s/CuGs5Mi7sdWl7U6ZMwbRp06BQMKsSERER0ePHYFLApKeno1evXli7dq1srbpEORjCusOjQgPc/HZY9vKndyAu5Tayrp9waXvffvstXnrppVz1TERERESUWwwmBcT8+fMxatQo2Gw5v7IXAFS+wfBt2hee1ZpBkrKvcHhWaoT0M7tgz0yRDSV87S8RERERFTQMJvls7969aNSoEYQQsrUKL3/AZoGwZsGzcmNIkgJpp7bDtOdXmOMvyC+vUGDDhg1o3bq1O1onIiIiInIbBpN81Lp1a2zevFm2Th0QCkPjF5B2Yisyzu0GANz+ay7M8edhSbjk0rY+/fRTvPbaa7nql4iIiIgorzCYPGZnz55Fq1atcP36ddlajzJPQx/WDbry9QAAKkMAMs7thqTRIe3YJtnlFQoFli9fju7du0OSpFz3TkRERESUV/gKpsfk6NGj0Ov1qFKlimwoUZcoB4WnL3xbDoaufD0Iuw1pJ6Nwe91nAABhzpDd3nvvvQebzYYePXowlBARERFRgccrJnksOTkZVapUQUJCgmytJqgitKVrIGXfmuxldy6BLrQeUvathtUY79L2xowZg2nTpsHf3z83bRMRERERPVYMJnkkIyMDgwYNwooVK2RrNUEVYWjSB54VG0JYLUg/tR221CRkXjqEzAv7ZJdXKBTYuHEjIiIi3NE6EREREdFjx2DiZkIIvPDCC/j5559la5U+xaGrGIZibUZkL2u3Ie3Udgj7P6Oz2605Li9JElavXo1OnTrlum8iIiIiovzEYOImu3btQqdOnZCYmChbq/AuBljNsKUkIv30Dvg264eM83th3LUc1js3ZZeXJAmjR4/Ge++9B4PB4I72iYiIiIjyFYNJLiUlJSE0NBQmk0m2VtLo4Nd8ALxrtUXin58h/eQ22DNMuPn9SNhTk1za3k8//YS+ffvmtm0iIiIiogKFb+XKhZ07d6JYsWLyoUSlgU/95xHy0jz41O0ASamCrlwdKDx8AEA2lCiVSnz00Ucwm80MJURERERUKPGKyUOKj49Hhw4dsH//fvliSQlJrYEwZ8CzcmOofIrBknQTSRu/QubVo7KL16pVC7t374aHh4cbOiciIiIiKrgYTB7C008/jStXrsjWqQNC4VOrLYSw487m+QCAO1ELoSlRFqnHtwC2nB9q9/DwwLp16/Dss8+6pW8iIiIiooKOweQhyIYShRLF2r0K7xrZgULYbTDtWwNYLTDfPA3zzdM5Lq5Wq3H06FFUrVrVTR0TERERET0ZGEzcRamCV7Xm8K7xLITdhvQz0Ug9thk2YwIAkeOiOp0OBw4cQLVq1R5Pr0REREREBUyRevh9zpw5KFeuHDw8PBAWFoa9e/fmboWSAp7VmgGSArBZkX42BtaURCT8/A4Sf5+FzEsHkVMoUSgUOHjwINLT0xlKiIiIiKhIKzLBZMWKFRg3bhymTp2KgwcPolatWoiMjERCQsJDr0vlF4Liz7+Bsm/8jhLPvwHvp1tnT/cNRNySSci8ckR2HRMmTIDNZkOdOnUeevtERERERIVNkQkmn376KYYOHYpBgwahevXqmDdvHjw9PfHDDz+4vA6PcnXgEVoPIUPnw6taMwCAEHYISIBKC0vCJdiMcTmu4+2334bFYsGsWbNytT9ERERERIVJkXjGxGw248CBA5g8ebJjmkKhQEREBGJiYlxeT+blQ//872F4lKmB1CMbkXJkIywJl2SXfeaZZ7BkyRKUKVPm4XeAiIiIiKiQKxLBJDExETabDYGBgU7TAwMDcfr0vW/KysrKQlZWluP7/w6geOfv72BJug7YbTluV6FQYPr06Rg4cCBKliyZiz0gIiIiIircisytXA9jxowZMBgMjq/SpUsDADxC6wGSApbEK7KhZNCgQbDZbHjrrbcYSoiIiIiIZBSJYFK8eHEolUrEx8c7TY+Pj0dQUNA99ZMnT4bRaHR8Xbt2DQCQeekAIOw5bqtbt25ITEx8qGdXiIiIiIiKuiIRTDQaDerVq4ctW7Y4ptntdmzZsgXh4eH31Gu1Wuj1eqcvOW3btkVqaip++eUXFCtWzK39ExEREREVdkUimADAuHHj8O2332LRokU4deoURowYgbS0NAwaNChX63311VdhtVqxfv16eHl5ualbIiIiIqKipUg8/A4AvXr1wq1bt/DOO+8gLi4OtWvXxoYNG+55IN4VKpUKn332GUaPHp0HnRIRERERFT2SEOLBQ5MTgOy3chkMBnz00Ufo2LEjqlSpkt8tEREREbns7mcZo9Ho0i3qRPmhyFwxcYdhw4bxh5mIiIiIKA8UmWdMiIiIiIio4GIwISIiIiKifMdgQkRERERE+Y7BhIiIiIiI8h2DCRERERER5TsGEyIiIiIiynd8XbAL7g71YjKZ8rkTIiIiood39zMMh6+jgozBxAUpKSkAgNKlS+dzJ0RERESP7vbt2zAYDPndBtF9ceR3F9jtdpw5cwbVq1fHtWvXOMjiv5hMJpQuXZrH5T94XB6Mx+b+eFzuj8fl/nhcHozH5v6MRiPKlCmDO3fuwNfXN7/bIbovXjFxgUKhQMmSJQEAer2ev+jug8fl/nhcHozH5v54XO6Px+X+eFwejMfm/hQKPl5MBRfPTiIiIiIiyncMJkRERERElO8YTFyk1WoxdepUaLXa/G6lQOFxuT8elwfjsbk/Hpf743G5Px6XB+OxuT8eF3oS8OF3IiIiIiLKd7xiQkRERERE+Y7BhIiIiIiI8h2DCRERERER5TsGEyIiIiIiyncMJi6YM2cOypUrBw8PD4SFhWHv3r353VKemjFjBho0aAAfHx8EBASgc+fOOHPmjFNNixYtIEmS09fLL7/sVHP16lW0b98enp6eCAgIwIQJE2C1Wh/nrrjVtGnT7tnnqlWrOuZnZmZi1KhRKFasGLy9vdGtWzfEx8c7raOwHZO7ypUrd8+xkSQJo0aNAlB0zpft27ejY8eOCAkJgSRJWLNmjdN8IQTeeecdBAcHQ6fTISIiAufOnXOqSUpKQt++faHX6+Hr64shQ4YgNTXVqebo0aNo2rQpPDw8ULp0acyaNSuvdy1XcjouFosFEydORM2aNeHl5YWQkBD0798fN2/edFrH/c6xmTNnOtUUpuMCAAMHDrxnn9u2betUUxjPF0D+2Nzv940kSfjoo48cNYXtnHHlb7O7/g5FRUWhbt260Gq1qFixIhYuXJjXu0eUTVCOli9fLjQajfjhhx/EiRMnxNChQ4Wvr6+Ij4/P79byTGRkpFiwYIE4fvy4OHz4sHjuuedEmTJlRGpqqqOmefPmYujQoSI2NtbxZTQaHfOtVquoUaOGiIiIEIcOHRJ//vmnKF68uJg8eXJ+7JJbTJ06VTz11FNO+3zr1i3H/JdfflmULl1abNmyRezfv180atRING7c2DG/MB6TuxISEpyOy6ZNmwQAsXXrViFE0Tlf/vzzT/HWW2+JVatWCQBi9erVTvNnzpwpDAaDWLNmjThy5Ih4/vnnRWhoqMjIyHDUtG3bVtSqVUvs3r1b7NixQ1SsWFH07t3bMd9oNIrAwEDRt29fcfz4cbFs2TKh0+nE/PnzH9duPrScjktycrKIiIgQK1asEKdPnxYxMTGiYcOGol69ek7rKFu2rJg+fbrTOfTv30mF7bgIIcSAAQNE27ZtnfY5KSnJqaYwni9CyB+bfx+T2NhY8cMPPwhJksSFCxccNYXtnHHlb7M7/g5dvHhReHp6inHjxomTJ0+KL7/8UiiVSrFhw4bHur9UNDGYyGjYsKEYNWqU43ubzSZCQkLEjBkz8rGrxyshIUEAENu2bXNMa968uXj11VcfuMyff/4pFAqFiIuLc0ybO3eu0Ov1IisrKy/bzTNTp04VtWrVuu+85ORkoVarxcqVKx3TTp06JQCImJgYIUThPCYP8uqrr4oKFSoIu90uhCia58t/P0zZ7XYRFBQkPvroI8e05ORkodVqxbJly4QQQpw8eVIAEPv27XPUrF+/XkiSJG7cuCGEEOLrr78Wfn5+Tsdl4sSJokqVKnm8R+5xvw+Z/7V3714BQFy5csUxrWzZsuKzzz574DKF8bgMGDBAdOrU6YHLFIXzRQjXzplOnTqJZ5991mlaYT9n/vu32V1/h9544w3x1FNPOW2rV69eIjIyMq93iUjwVq4cmM1mHDhwABEREY5pCoUCERERiImJycfOHi+j0QgA8Pf3d5q+ZMkSFC9eHDVq1MDkyZORnp7umBcTE4OaNWsiMDDQMS0yMhImkwknTpx4PI3ngXPnziEkJATly5dH3759cfXqVQDAgQMHYLFYnM6VqlWrokyZMo5zpbAek/8ym8346aefMHjwYEiS5JheFM+Xf7t06RLi4uKczhGDwYCwsDCnc8TX1xf169d31EREREChUGDPnj2OmmbNmkGj0ThqIiMjcebMGdy5c+cx7U3eMhqNkCQJvr6+TtNnzpyJYsWKoU6dOvjoo4+cbj8prMclKioKAQEBqFKlCkaMGIHbt2875vF8yRYfH49169ZhyJAh98wrzOfMf/82u+vvUExMjNM67tYUpc89lH9U+d1AQZaYmAibzeb0AwwAgYGBOH36dD519XjZ7XaMHTsWTZo0QY0aNRzT+/Tpg7JlyyIkJARHjx7FxIkTcebMGaxatQoAEBcXd9/jdnfekygsLAwLFy5ElSpVEBsbi3fffRdNmzbF8ePHERcXB41Gc88HqcDAQMf+FsZjcj9r1qxBcnIyBg4c6JhWFM+X/7q7H/fbz3+fIwEBAU7zVSoV/P39nWpCQ0PvWcfdeX5+fnnS/+OSmZmJiRMnonfv3tDr9Y7pr7zyCurWrQt/f3/s2rULkydPRmxsLD799FMAhfO4tG3bFl27dkVoaCguXLiAN998E+3atUNMTAyUSiXPl38sWrQIPj4+6Nq1q9P0wnzO3O9vs7v+Dj2oxmQyISMjAzqdLi92iQgAgwnJGDVqFI4fP46dO3c6TR82bJjjv2vWrIng4GC0atUKFy5cQIUKFR53m49Fu3btHP/99NNPIywsDGXLlsXPP//MX9T/8v3336Ndu3YICQlxTCuK5ws9PIvFgp49e0IIgblz5zrNGzdunOO/n376aWg0GgwfPhwzZsyAVqt93K0+Fi+88ILjv2vWrImnn34aFSpUQFRUFFq1apWPnRUsP/zwA/r27QsPDw+n6YX5nHnQ32aiJx1v5cpB8eLFoVQq73mjRXx8PIKCgvKpq8dn9OjRWLt2LbZu3YpSpUrlWBsWFgYAOH/+PAAgKCjovsft7rzCwNfXF5UrV8b58+cRFBQEs9mM5ORkp5p/nytF4ZhcuXIFmzdvxksvvZRjXVE8X+7uR06/T4KCgpCQkOA032q1IikpqdCfR3dDyZUrV7Bp0yanqyX3ExYWBqvVisuXLwMovMfl38qXL4/ixYs7/dwU1fPlrh07duDMmTOyv3OAwnPOPOhvs7v+Dj2oRq/X8x/hKM8xmORAo9GgXr162LJli2Oa3W7Hli1bEB4eno+d5S0hBEaPHo3Vq1fj77//vudS9/0cPnwYABAcHAwACA8Px7Fjx5z+aN79sFG9evU86ftxS01NxYULFxAcHIx69epBrVY7nStnzpzB1atXHedKUTgmCxYsQEBAANq3b59jXVE8X0JDQxEUFOR0jphMJuzZs8fpHElOTsaBAwccNX///TfsdrsjzIWHh2P79u2wWCyOmk2bNqFKlSoF+taTnNwNJefOncPmzZtRrFgx2WUOHz4MhULhuJWpMB6X/7p+/Tpu377t9HNTFM+Xf/v+++9Rr1491KpVS7b2ST9n5P42u+vvUHh4uNM67tYU5s89VIDk88P3Bd7y5cuFVqsVCxcuFCdPnhTDhg0Tvr6+Tm+0KGxGjBghDAaDiIqKcnrNYnp6uhBCiPPnz4vp06eL/fv3i0uXLonffvtNlC9fXjRr1syxjruvJGzTpo04fPiw2LBhgyhRosQT9/rXf3v99ddFVFSUuHTpkoiOjhYRERGiePHiIiEhQQiR/ZrGMmXKiL///lvs379fhIeHi/DwcMfyhfGY/JvNZhNlypQREydOdJpelM6XlJQUcejQIXHo0CEBQHz66afi0KFDjrdLzZw5U/j6+orffvtNHD16VHTq1Om+rwuuU6eO2LNnj9i5c6eoVKmS0+tfk5OTRWBgoOjXr584fvy4WL58ufD09CywrzgVIufjYjabxfPPPy9KlSolDh8+7PQ75+5bgnbt2iU+++wzcfjwYXHhwgXx008/iRIlSoj+/fs7tlHYjktKSooYP368iImJEZcuXRKbN28WdevWFZUqVRKZmZmOdRTG80UI+Z8lIbJf9+vp6Snmzp17z/KF8ZyR+9sshHv+Dt19XfCECRPEqVOnxJw5c/i6YHpsGExc8OWXX4oyZcoIjUYjGjZsKHbv3p3fLeUpAPf9WrBggRBCiKtXr4pmzZoJf39/odVqRcWKFcWECROcxqUQQojLly+Ldu3aCZ1OJ4oXLy5ef/11YbFY8mGP3KNXr14iODhYaDQaUbJkSdGrVy9x/vx5x/yMjAwxcuRI4efnJzw9PUWXLl1EbGys0zoK2zH5t40bNwoA4syZM07Ti9L5snXr1vv+7AwYMEAIkf3K4ClTpojAwECh1WpFq1at7jlet2/fFr179xbe3t5Cr9eLQYMGiZSUFKeaI0eOiGeeeUZotVpRsmRJMXPmzMe1i48kp+Ny6dKlB/7OuTsOzoEDB0RYWJgwGAzCw8NDVKtWTfzvf/9z+oAuROE6Lunp6aJNmzaiRIkSQq1Wi7Jly4qhQ4fe849ihfF8EUL+Z0kIIebPny90Op1ITk6+Z/nCeM7I/W0Wwn1/h7Zu3Spq164tNBqNKF++vNM2iPKSJIQQeXQxhoiIiIiIyCV8xoSIiIiIiPIdgwkREREREeU7BhMiIiIiIsp3DCZERERERJTvGEyIiIiIiCjfMZgQEREREVG+YzAhIiIiIqJ8x2BCRERERET5jsGEiOg+oqKiIEkSkpOT82X7W7ZsQbVq1WCz2fJ8WydPnkSpUqWQlpaW59siIiJ6EAYTIiryWrRogbFjxzpNa9y4MWJjY2EwGPKlpzfeeANvv/02lEplnm+revXqaNSoET799NM83xYREdGDMJgQEd2HRqNBUFAQJEl67NveuXMnLly4gG7duj22bQ4aNAhz586F1Wp9bNskIiL6NwYTIirSBg4ciG3btuGLL76AJEmQJAmXL1++51auhQsXwtfXF2vXrkWVKlXg6emJ7t27Iz09HYsWLUK5cuXg5+eHV155xen2q6ysLIwfPx4lS5aEl5cXwsLCEBUVlWNPy5cvR+vWreHh4eGYduTIEbRs2RI+Pj7Q6/WoV68e9u/f75i/c+dONG3aFDqdDqVLl8Yrr7zidGtWVlYWJk6ciNKlS0Or1aJixYr4/vvvHfNbt26NpKQkbNu2LZdHlIiI6NEwmBBRkfbFF18gPDwcQ4cORWxsLGJjY1G6dOn71qanp2P27NlYvnw5NmzYgKioKHTp0gV//vkn/vzzTyxevBjz58/HL7/84lhm9OjRiImJwfLly3H06FH06NEDbdu2xblz5x7Y044dO1C/fn2naX379kWpUqWwb98+HDhwAJMmTYJarQYAXLhwAW3btkW3bt1w9OhRrFixAjt37sTo0aMdy/fv3x/Lli3D7NmzcerUKcyfPx/e3t6O+RqNBrVr18aOHTse6TgSERHlliq/GyAiyk8GgwEajQaenp4ICgrKsdZisWDu3LmoUKECAKB79+5YvHgx4uPj4e3tjerVq6Nly5bYunUrevXqhatXr2LBggW4evUqQkJCAADjx4/Hhg0bsGDBAvzvf/+773auXLniqL/r6tWrmDBhAqpWrQoAqFSpkmPejBkz0LdvX8dzMpUqVcLs2bPRvHlzzJ07F1evXsXPP/+MTZs2ISIiAgBQvnz5e7YbEhKCK1euuHDUiIiI3I/BhIjIRZ6eno5QAgCBgYEoV66c05WHwMBAJCQkAACOHTsGm82GypUrO60nKysLxYoVe+B2MjIynG7jAoBx48bhpZdewuLFixEREYEePXo4ejly5AiOHj2KJUuWOOqFELDb7bh06RKOHTsGpVKJ5s2b57h/Op0O6enpMkeBiIgobzCYEBG56O6tU3dJknTfaXa7HQCQmpoKpVKJAwcO3PN2rX+Hmf8qXrw47ty54zRt2rRp6NOnD9atW4f169dj6tSpWL58Obp06YLU1FQMHz4cr7zyyj3rKlOmDM6fP+/S/iUlJTkFLyIioseJwYSIijyNRpMn44XUqVMHNpsNCQkJaNq06UMtd/LkyXumV65cGZUrV8Zrr72G3r17Y8GCBejSpQvq1q2LkydPomLFivddX82aNWG327Ft2zbHrVz3c/z4cXTv3t3lPomIiNyJD78TUZFXrlw57NmzB5cvX0ZiYqLjikduVa5cGX379kX//v2xatUqXLp0CXv37sWMGTOwbt26By4XGRmJnTt3Or7PyMjA6NGjERUVhStXriA6Ohr79u1DtWrVAAATJ07Erl27MHr0aBw+fBjnzp3Db7/95nj4vVy5chgwYAAGDx6MNWvW4NKlS4iKisLPP//s2Mbly5dx48aNHIMLERFRXmIwIaIib/z48VAqlahevTpKlCiBq1evum3dCxYsQP/+/fH666+jSpUq6Ny5M/bt24cyZco8cJm+ffvixIkTOHPmDABAqVTi9u3b6N+/PypXroyePXuiXbt2ePfddwEATz/9NLZt24azZ8+iadOmqFOnDt555x2nB+jnzp2L7t27Y+TIkahatSqGDh3q9DrhZcuWoU2bNihbtqzb9p2IiOhhSEIIkd9NEBGRswkTJsBkMmH+/Pl5vi2z2YxKlSph6dKlaNKkSZ5vj4iI6H54xYSIqAB66623ULZsWbfdVpaTq1ev4s0332QoISKifMUrJkRERERElO94xYSIiIiIiPIdgwkREREREeU7BhMiIiIiIsp3DCZERERERJTvGEyIiIiIiCjfMZgQEREREVG+YzAhIiIiIqJ8x2BCRERERET5jsGEiIiIiIjy3f8BLXg1akmkj+sAAAAASUVORK5CYII=", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "np.random.seed(32594)\n", + "xs2000, zs2000 = simulate_system(Q=0.0001, count=2000)\n", + "\n", + "kf2 = SecondOrderKF(R, 0, dt=1)\n", + "data2000 = filter_data(kf2, zs2000)\n", + "\n", + "plot_kf_output(xs2000, data2000.x, data2000.z)\n", + "plot_residuals(xs2000[:, 0], data2000, 0, \n", + " 'Second Order Position Residuals',\n", + " 'meters') " + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "ae309ae4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter([1, 2], [1, 1], s=100, c='r')\n", + "plt.plot([0, 3], [1, 1]);" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "75d297c9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "class ConstantAccelerationObject(object):\n", + " def __init__(self, x0=0, vel=1., acc=0.1, acc_noise=.1):\n", + " self.x = x0\n", + " self.vel = vel\n", + " self.acc = acc\n", + " self.acc_noise_scale = acc_noise\n", + " \n", + " def update(self):\n", + " self.acc += randn() * self.acc_noise_scale \n", + " self.vel += self.acc\n", + " self.x += self.vel\n", + " return (self.x, self.vel, self.acc)\n", + " \n", + "R, Q = 6., 0.02\n", + "def simulate_acc_system(R, Q, count):\n", + " obj = ConstantAccelerationObject(acc_noise=Q)\n", + " zs = []\n", + " xs = []\n", + " for i in range(count):\n", + " x = obj.update()\n", + " z = sense(x, R)\n", + " xs.append(x)\n", + " zs.append(z)\n", + " return np.asarray(xs), zs\n", + "\n", + "np.random.seed(124)\n", + "xs, zs = simulate_acc_system(R=R, Q=Q, count=80)\n", + "plt.plot(xs[:, 0]);" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "fccd4288", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "np.random.seed(124)\n", + "xs, zs = simulate_acc_system(R=R, Q=Q, count=80)\n", + "\n", + "kf2 = SecondOrderKF(R, Q, dt=1)\n", + "data2 = filter_data(kf2, zs)\n", + "\n", + "plot_kf_output(xs, data2.x, data2.z, aspect_equal=False)\n", + "plot_residuals(xs[:, 0], data2, 0, \n", + " 'Second Order Position Residuals',\n", + " 'meters') " + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "9523d86b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "kf3 = FirstOrderKF(R, Q * 10, dt=1)\n", + "data3= filter_data(kf3, zs)\n", + "\n", + "plot_kf_output(xs, data3.x, data3.z, aspect_equal=False)\n", + "plot_residuals(xs[:, 0], data3, 0, \n", + " 'First Order Position Residuals',\n", + " 'meters') " + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "89b8a758", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "kf4 = FirstOrderKF(R, Q * 10000, dt=1)\n", + "data4 = filter_data(kf4, zs)\n", + "\n", + "plot_kf_output(xs, data4.x, data4.z, aspect_equal=False)\n", + "plot_residuals(xs[:, 0], data4, 0, \n", + " 'First Order Position Residuals',\n", + " 'meters') " + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "492cde4e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "kf4 = FirstOrderKF(R, Q * 10000, dt=1)\n", + "data4 = filter_data(kf4, zs)\n", + "\n", + "plot_kf_output(xs, data4.x, data4.z, aspect_equal=False)\n", + "plot_residuals(xs[:, 0], data4, 0, \n", + " 'First Order Position Residuals',\n", + " 'meters') " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "aabc0413", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "bad measurement : [[10.1 10.1]] km\n", + "before bad measurement: [[5. 5.]] km\n", + "after bad measurement : [[7.84 7.01]] km\n", + "estimate shift : 3.4 km\n", + "distance from prior : 7.1 km\n" + ] + } + ], + "source": [ + "from filterpy.common import kinematic_kf\n", + "\n", + "kf = kinematic_kf(dim=2, order=1, dt=1.0, order_by_dim=False)\n", + "kf.Q = np.diag([0, 0, .003, .003])\n", + "kf.x = np.array([[1., 1., 0., 0.]]).T\n", + "kf.R = np.diag([0.03, 0.21]) # use different errors\n", + "\n", + "for i in range(101):\n", + " kf.predict()\n", + " kf.update(np.array([[i*.05, i*.05]])) # around 200 kph\n", + "\n", + "p0 = kf.x[0:2]\n", + "\n", + "kf.predict()\n", + "prior = kf.x\n", + "z = kf.x[0:2]*2\n", + "kf.update(z)\n", + "p1 = kf.x[0:2]\n", + "\n", + "# compute error of measurement from prior\n", + "y = np.abs(z - kf.H @ prior)\n", + "dist = np.linalg.norm(y)\n", + "\n", + "np.set_printoptions(precision=2, suppress=True)\n", + "\n", + "print(f'bad measurement : {z.T} km')\n", + "print(f'before bad measurement: {p0.T} km')\n", + "print(f'after bad measurement : {p1.T} km')\n", + "print(f'estimate shift : {np.linalg.norm(p1 - prior[:2]):.1f} km')\n", + "print(f'distance from prior : {dist:.1f} km')" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "c2b73d40", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "error = 7.1 km, at a speed of 25710 kph\n" + ] + } + ], + "source": [ + "print(f'error = {np.linalg.norm(kf.y):.1f} km, at a speed of {dist*3600:.0f} kph')" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "47281f96", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x, P = kf.x[0:2], kf.P[0:2, 0:2]\n", + "plot_covariance_ellipse(x, P, std=[1,2,3])" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "5b5e3598", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_covariance_ellipse(x, P, std=[1,2,3])\n", + "plt.scatter(z[0], z[1], marker='x');" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "4cfa7ea0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "discarding measurement, error is 39 std, 18 std\n", + "y is [5.05 5.05]\n", + "std is 0.13 0.29\n" + ] + } + ], + "source": [ + "GATE_LIMIT = 4.\n", + "std_x = np.sqrt(P[0,0])\n", + "std_y = np.sqrt(P[1,1])\n", + "y = kf.residual_of(z)[:,0]\n", + "\n", + "if y[0] > GATE_LIMIT * std_x or y[1] > GATE_LIMIT * std_y:\n", + " print(f'discarding measurement, error is {y[0]/std_x:.0f} std, {y[1]/std_y:.0f} std')\n", + " \n", + "print('y is', y)\n", + "print(f'std is {std_x:.2f} {std_y:.2f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "ae60c038", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_covariance_ellipse(x, P, std=[1,2,3])\n", + "plt.scatter(8.08, 7.7, marker='x')\n", + "plt.scatter(8.2, 7.65, marker='x');" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "a3dd838c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mahalanobis distance = 20.6\n" + ] + } + ], + "source": [ + "from filterpy.stats import mahalanobis\n", + "m = mahalanobis(x=z, mean=x, cov=P)\n", + "print(f'mahalanobis distance = {m:.1f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "0a087ace", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mean NEES is: 1.0411\n", + "passed\n" + ] + } + ], + "source": [ + "from scipy.linalg import inv\n", + "\n", + "def NEES(xs, est_xs, Ps):\n", + " est_err = xs - est_xs\n", + " err = []\n", + " for x, p in zip(est_err, Ps):\n", + " err.append(x.T @ inv(p) @ x)\n", + " return err\n", + "\n", + "R, Q = 6., 0.02\n", + "xs, zs = simulate_acc_system(R=R, Q=Q, count=80)\n", + "kf2 = SecondOrderKF(R, Q, dt=1)\n", + "est_xs, ps, _, _ = kf2.batch_filter(zs)\n", + "\n", + "nees = NEES (xs, est_xs, ps)\n", + "eps = np.mean(nees)\n", + "\n", + "print(f'mean NEES is: {eps:.4f}')\n", + "if eps < kf2.dim_x:\n", + " print('passed')\n", + "else:\n", + " print('failed')" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "a32162e3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "R, Q = .05, 0.02\n", + "xs, zs = simulate_acc_system(R=R, Q=Q, count=50)\n", + "zs[-5:-1] = [100, 200, 200, 200] # bad measurements, bad!\n", + "\n", + "kf = SecondOrderKF(R, Q, dt=1, P=1)\n", + "s = Saver(kf)\n", + "kf.batch_filter(zs, saver=s)\n", + "plt.plot(s.likelihood);" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "b8524273", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(s.log_likelihood);" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "90267701", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[10. 0.]\n", + " [ 0. 10.]]\n" + ] + }, + { + "data": { + "image/png": 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AjOVEjyW4sM7fgDVHblK/cTPat2+Pj48PM2bM4P79+wB06dIFT09P0tLSKFWqFE2aNMHQ8OMaJCNBQTZJUCCEEEKIj9EXX3zBH3/8AWTszPvtt9/i4eHBzp07mTp1qvq1fc+ePTRo0CDH91m7di2fffaZem5gYIC5uTnx8fF65by8vGjatCkJkQHUsLhFq1y3MdJkbEZ2Oy0P831t+PPwLcKjYoGMXoRjx46p1/v6+lKqVCnS0tLImzcvd+/excjIKMftft9JUJBNEhQIIYQQ4mMTHx+Pvb09iYmJWFlZERAQQL58+dT8FStW0K1bNwDatm3L+vXrc3QfRVEoUaIEvr6+AIwYMYKxY8dia2tLu3bt2LBhAwAmxkasnjEKj+iDlEj9b07BsQQXZp5OZ8NhXxT+e201NjYmOjoac3Nzvfs1b96c7du3A+Dn50fRokVz1O4PgWxeJoQQQgghnuvGjRskJmaMwW/VqpVeQADw+eefM2DAAB49evTcXX1f5OzZs2pAUL16dX755Re9NngVdqRf7fx0yB9KrsjfgIy5Apds6vLH+TQWrvwHgGrVqmFsbMypU6dISEjA2toaU1PTTPd7Mi07Q5U+dtq33QAhhBBCCPHmPTlHIC0tLVO+TqdTX6pfZj5BUFCQetykSRMAkhIecmbzXP5oquNSp4f0d7pBLu0jQnW5OOHSh+g+56gwYj0GNv8tRTp16lQOHDhA9erVAYiKimLLli169woNDWXHjh0AWFtb4+bmluN2f2ykp0AIIYQQ4iPk4eGBlZUV8fHx/PPPPwQFBeHq6qrmL168WO1JyO5mX096cvnP0EA/TiwcTPGwjVTkIZhAmqJlT5wbi84mkWZdkG2TpgGQmpqqDgMC1Bf8vn37qnsOdOnShW+//ZYGDRpw7do1vv/+e7XN3bp1e2pPgng6mVOAzCkQQgghxMdpyJAh/PZbxpCd/PnzM2LECIoVK8aOHTtYtGgR6ekZk3z//fdf9Qt9dsXHxfF5s2r0K29IE5vbGGgyXj3DyMtx42oMm72VkIhoAPr378+cOXMIDAzkq6++Unc1bty4MTt37gQyejCaNWvGrl27nnlPZ2dnTp8+nWmPg4+NTDTOJgkKhBBCCPExioqKwtvbm4CAgGeW6dOnDwsXLsx23dH3wvA/tIq811dQUBeoph955MquGHceGNizZcs2wsLC9K7TarV6cwGMjY05cuSIXm9FQkICffr0YeXKlZnuW758edauXUvBggWz3eYPjQQF2SRBgRBCCCE+VqGhofTo0UMdkvOYmZkZI0aMYOLEiRgYGGSprjsBV7h7cj02QXspmuKj9gokKsZsfVicydtuc9E/JNN1Go2Gp72SWlhYsGrVKlq2bPnU+wUEBLBq1SpCQkKwsbGhVatWVKtW7aX3VPhQSFCQTRIUCCGEEOJj5+Pjw86dO4mPj8fZ2Zm2bdtia2vLtWvXWLJkCf7+/piYmFC3bl06d+6MtbU1aakp3Dh/kJiL23CMOICrTv+F/6ZBQe65t6R4kwGYWNgwZcoU5s+fT0REBJDRK9CiRQvGjh3LnTt3WL58OcHBwVhaWtKkSRN69eqVaVUkkXUSFGSTBAVCCCGEEPpSUlLo168fS5cu1Ut3yGND2+pF6FAuF17pV7HmkZqXqhjga+KFj9aDtcduc/ridSwsLGjQoAEDBgygePHipKam4uPjQ1JSEu7u7vLS/xpJUJBNEhQIIYQQQujr1q0bK1asAMDD1Z7uNQvQxOkRpU1C9crFYkGAVWUUjybYFKlK23YduXLlSqb6tFots2fPZuDAgW+k/UI2LxNCCCGEEC/h4sWLbNq4jn7NS9O9RBqVze4AN9T8S8mO7Am15EqsFUvX76G8oSFpaWlUqlRJLyCws7MjNjaWtLQ0dDodgwYNwsnJidatW7/5hxLPJUGBEEIIIYQAQJeejs/JHYTtmEH4CAvMNbcBSFc0XDWrQLJHK9wrt6Rrk5ZcvnwWgHxff42trS1RUVHqzseurq789ddfVKtWjdjYWCZMmMCsWbMAmDhxIq1atZLJwO8YGT6EDB8SQgghhLh+ajeGe8ZQJP2/5UkDUvMS6t6GYk36k8/JXU0fNWoU06ZNe2ZdO3bsUHcvBlAUhUqVKnH2bEYgcfnyZUqVKvUankI8KTvvuNo31CYhhBBCCJFNcXFx/Pbbb9SuXRsvLy8aNGjA4sWLSUhIeGX3CAvy49wvrSm+sz1F0gN4pJiy/lFZavxjR5GfbpK3Wg+9gCA0NJQFCxY8t87Dhw/rnWs0Gho3bqyeh4RkXpZUvF0SFAghhBBCvINOnjxJ4cKFGTJkCIcPH+bKlSvs27eP3r17U6JECXx8fJ563cOHD1m4cCHNmjWjWrVqtGvXjs2bN5OWlqZX7lF8DCf+GE6uJdUoH38QnaLhdO4WJA04x628TTl6MWPo0OTJk/X2EBg+fDjx8fHq+XfffceGDRuwt7dX06ZMmcLVq1f17nf9+nX1WEZmvHtk+BAyfEgIIYQQ75bbt29TtmxZYmNj1TQjIyNSU1PV8zx58tCgQQP8/f0xMDDA29ubypUrM2zYMCIjIzPVWaZMGbZu3YqFiQE3Dq/G7epv5OMBANeMvTBtPoVCXlUBuHfvHq6uriQmJgLg7e1N+/btCQoKYubMmWqdrVu3ZtOmTQD88ssvfPnll2pe37591R6FgwcPUr9+fXQ6HXnz5uXOnTuYmJi8ol9LPIssSZpNEhQIIYQQ4l0yYMAA5s+fD0DNmjWZO3cunp6enD59mj59+nDp0qUs16VBQ5VSrjQvbUcT5yRKG4Wg/f+dhkM19kRU+ZYyDbqg0eoPIPnzzz/p1q3bU3caBrC0tMTf35/8+fMD8ODBA9zd3YmLiwMygpiuXbsSFBTEvn371Ou+++47JkyYkOX2i5yToCCbJCgQQgghxJugKAr+/v7cu3ePPHny4OHhkWkVnrS0NHLnzk18fDwWFhYEBweTO3duNb9z586sXLnyufcpXLgQs78bRJ7IoxSMPYWdJk4v/7bWjQj3VpT5dDSmZhbPrGfLli2MHj0aX1/fTHk9evRgyZIlmcq3atXqmfU1adKEzZs3Y2xs/Nz2i1dD9ikQQgghhHjHrF69mp9//pnLly+raSVLlmT06NF07txZDQ4ePHigjtmvUaOGXkAQFBTE6tWr1XONRsPDhw+Jjo7Gzc0NFwdb+tZ1pbPLPRwDvvv/QvBQMeNQbH523YKAR5bs2v8v/00dfraWLVvSokULTpw4gb+/P0lJSQwaNIj09HS2b99OXFyc3svmkxOINRqN2svg6urKwIEDGTZsGEZGRtn+7cTrJ0GBEEIIIcRrNn78eL7//vtM6deuXaNr164cPnwYS0tLzp07h06nU/Nv376NoihqwLBixQq9fAsLCwwNtPgeXsOeoSWoZRGEVpOxyVi0YomffVOsynxC0Qr1GFTUg6CgICwtLZk+fTpGRkbUqFGDcuXKPbftGo2GqlWrUrVqxnyDffv2sWHDBiIjI6lZsyZjxozB3d2dzZs3M336dPW6HTt2YG9vj5mZGUWKFMHAwCDnP6B47WT4EDJ8SAghhBCvz/79+6lfv756XrlyZby9vTl16hQnTpx44fVLliyhR48eAPTs2ZOlS5cC4O6Uh/GflaOllQ+5+W940OFHriy+pFCyzueM/mYMAImJieTOnZukpKRM9VepUoXff/8dT0/PLD3PjRs3qFy5MtHR0c8s0717d7Wd4u2R4UNCCCGEEG+BTqdj8+bNzJ8/n9OnT6Moit5wmZ9//pnRo0er540aNWLPnj3PrbNnz56sWrWKChUqsGvnTppX82BAJVMaWgVioDkJwD1ysTbCmVnb/bhx5woAv7X87yWwU6dOTw0IIGPp0xo1anDs2DFKlCjxwmcsUqQIhw4d4rPPPss018DAwIABAwbw66+/vrAe8W6RoEAIIYQQIptiY2NZtmwZq1evJjw8nFy5ctGiRQvOnj3Lzp07n3qNsbExffv2Vc/v37/PkSNH1HONRkNYWBharZY5c+YwadIkNe/MqeNUyP2AY73McTcMU9OvGJchrXxPStX9nJip07hx56iat2PHDmJjY9m5cyfHjh1T0ytXrsyAAQOIiYlh7ty5+Pv7ExMTw8CBAzl48GCWnt/Ly4tr166xb98+du3axaNHjyhYsCCdO3fGyckpS3WId4sMH0KGDwkhhBACoqKiCA0NxcbGBhcXl0yrAj126dIlmjZtSmho6HPry58/PwYGBnqTbzt06KBOFJ47dy6DBg3Su+bJd5GePXuyddN6vmpZlL5uIdhoMvYMiFPMWB3mzG8H7vIgAdq3b09iYiKrV6/W21Tsaby8vLh48aL6bPHx8ZQuXZrbtzM2KvPx8aF48eLPrUO8P7Lzjis7GgshhBDio3b06FGaNm1Kvnz5KF26NG5ubpQuXZqlS5dmWqM/KiqKRo0a6QUEdnZ2mer89ddfCQkJITg4GFtbWzV9zZo1BAQEAKj/72O5cuXC0tIy4z7hwbT3SCZwiCmj3G9go0nkNk7sdhrC1QZrGfW3P9duhhEWFsasWbNYtGiRGhDY2NjorVj0pKVLl+oFO1ZWVnzxxRfqeVbmOIgPkwQFQgghhPhorVq1itq1a7Nz5069AODKlSv07NmT/v3766XPnz+fiIgIACpWrMjVq1eJiorixx9/1Kv30qVLaLVaNBqN3ks3wKxZswB49OiRXnq3bt2IvHuLU3N7YTm/HI0Tt2GhSeZKcn7m8jmu467Q6IvvqVq9JidPnqRVq1Zon9hwzNTUlO7du+Pr68vdu3c5cOAAmzZtom7dumoZc3PzTL/Bk2lpaWlZ/u3Eh+WdDgrS09MZN24c7u7umJmZUahQIb7//nu9/3EqisL48ePJnz8/ZmZm1K9fnxs3brzFVgshhBDifXDz5k26d+9Oeno6kLGWfo8ePahUqZJaZuHChaxYsUI9f3ys1Wr5+++/KVmyJADJycl6da9Zs0ad2Dt06FBsbGzUvDlz5mBtbc3vv/+uplUv7U57+xvk+aMile+tx1STyvkUZ9occMTrZz/KNeqG9oklPYsXL87mzZsJCQlh7969HDhwgNDQUJYuXYqDgwOmpqbUqVOH1q1bU6tWLfW6/10RKD09Xe/5Spcunc1fUXwwlHfYjz/+qNjZ2Snbtm1Tbt++raxbt06xtLRUZs2apZb5+eefFRsbG2Xz5s3KpUuXlJYtWyru7u5KYmJilu8TGxurAEpsbOzreAwhhBBCvIOGDRumAAqgdO/eXUlNTVXzli5dquZ5eXkpOp1OURRFMTExUQClZMmSenXNmDFDLf/4Lzg4WM3/5ptvMuVrtVrl87ollZOjSijKd9bq35mx5ZV29cup5SpUqKDePyfu3LmjGBgYKICi0WiUoUOHKmfOnFH27NmjNGzY8KnPKT4M2XnHfacnGjdv3hx7e3sWL16sprVt2xYzMzP++usvFEXB0dGRkSNH8uWXXwIZE3Ts7e1ZtmwZHTp0yNJ9ZKKxEEII8fEpUqQIAQEBGBkZERYWlmluQMWKFTl79iyQsZOwi4sLefPmJSoqCisrK8LDw9WhN7du3aJw4cJ6oxmio6OxtbXl5s2b1KlThzt37gBQqUI5Wnha0K1ACM4G9wFIUQzYdN+dXw9FcfpasFpHnjx5+PfffylWrNhLPet3332nt5rR/zI0NGTv3r3Url37pe4j3i0fzETjqlWrsn//fvz9/YGM8XlHjx6lSZMmQMYuf+Hh4XobgtjY2FC5cuXnTpRJTk4mLi5O708IIYQQH5fY2FgA7O3tnzpZ+PHQIEB9V2jatCmQsWrPd999pwYBBQsWpEyZMnrXt2nThsaNG1OsWDHu3LmDhbkJv/avz65mkYx1vYSzwX2iseJA7g70uF6Tz+ddUAMCrVbLJ598wsmTJ186IACYMGECEydO1Nsz4bF8+fLxzz//SEDwkXunewp0Oh1jxoxh6tSpGBgYkJ6ezo8//sg333wDwPHjx6lWrRqhoaHkz59fva59+/ZoNBr+/vvvp9b7+H8Y/0t6CoQQQoiPR7ly5bhw4QIA165d09u4KzU1lUKFCqlf9ydPnoyJiQnGxsZ6y4iWKFGCWrVqceHCBU6ePPnU+5ibmjCkZUlGeESQV5uxQlCIxoG7Jfrg1bQPZhZWANy5c4dLly6h0WgoW7Ysjo6Or/yZIyMjWbFiBdevX8fIyIgaNWrQtm1bTE1NX/m9xNv3wexovHbtWlauXMmqVasoWbIkFy9eZNiwYTg6OtKtW7cc1/vNN98wYsQI9TwuLg5nZ+dX0WQhhBBCvCe6dOmiBgWdO3fmzz//pGTJkty7d4+RI0eqAQGgfpAEyJ07Nw8ePAAy1vX38fHRq7dKlSqEhIRwPyqSIc1LMqL4PfJpM5Yfvaux567XYMo170sBI2O965ydnV/7+0i+fPnUIddCPOmd7ilwdnbm66+/ZuDAgWraDz/8wF9//YWvry+3bt2iUKFCXLhwQa/LrlatWpQpU0Zd8utFZE6BEEII8fGJjY3F09NTb3MxR0dHIiIi1BWJnsfDwwM/Pz/13NPTk5EjR9Kh/adc3DyLQv6/k5doAEI1+QjxHEjZFv0xMjZ59Q8jxFN8MD0FCQkJeuvvAhgYGKDT6QBwd3fHwcGB/fv3q0FBXFwcp06don///m+6uUIIIYR4x6WkpHD9+nVSUlIoVKgQu3btonHjxmpg8LRdiosVK8aAAQOwtLRk+fLlHD58GIDw8HB8fHyIj48nV65cOBdw5NKWOcRNLUUVMnoSwslDUMkBlG05EEcTGaIj3l3vdFDQokULfvzxR1xcXChZsiQXLlzg119/pWfPngBoNBqGDRvGDz/8QJEiRXB3d2fcuHE4OjrSunXrt9t4IYQQQrwzHj16xE8//cSiRYuIiooCMlbc+eSTT9iwYQMnTpzgzz//JCQkBBMTE4KDMyb8enh4cO7cOXWVoe7du/Ppp5+yceNGYmNjOXbsGF27dObCljlYrZxPZTLqjsCOwBL9KdNyIA6mmTcME+Jd804PH4qPj2fcuHFs2rSJyMhIHB0d+fzzzxk/fjzGxhnj8BRF4bvvvmPRokXExMRQvXp15s2bR9GiRbN8Hxk+JIQQQny44uPjqVevHmfOnHlqvpWVFXv27KFKlSoAzJ07V51MPGPGDIYNG6ZX/ujRo9SoUQOtVsvUoW3paH2e/NwDIJLc3C7elzKthmAiwYB4yz6Y4UNWVlbMnDmTmTNnPrOMRqNh0qRJz117VwghhBAfr5EjR6oBgaGhIS1atMDOzo5//vmHe/fuER8fT9u2bbl16xYmJiakpaWp11pYWGSqz9zMjDY1i/Nj9TSKGe0GIApbAjz6UKb1MCqbZb5GiHfdO71PgRBCCCHEy7h//z4rVqwAMl7wz507x8aNG/n999+5desW1apVAzLmEqxbtw4ALy8v9frly5ercxkBfM/sg81fsKHOXYoZRRCrmHOy0FAsR12jyuffYioBgXhPSVAghBBCiA/WwYMHSU5OBqBXr156L/yWlpb88MMP6vn27duBjFUMCxcuDMCxY8do3bo129Yt4/SPDSi2vS3lDG6SpBgxK9iD+50PUKXLJEzNLd/gUwnx6klQIIQQQogPVnx8vHr8tPmGT6Y9LqvVapk9ezZarZZaZQvSv3Awza8NpVLqadIVDSsii+Dxu8Kjwq0pWKT4638IId4ACQqEEEII8cF6cjOwHTt2ZMp/Ms3FxQUAXXo6+Y1juTC+HIdaRtHE+jY6RcPWmEKUWWXOF4uv0G/wl3obmgnxvnunVx96U2T1ISGEEOLDlJaWhru7u7oPwfjx4/nyyy+xsLBg27Zt9OjRQ92d+PjxoxhGXCTv5QW46TKWJE1RDDls4M3O8Lw8SFAoVaoUXbt2JW/evG/tmYTIquy840pQgAQFQgghxIfs999/p0+fPuq5kZERpqamekOL+nVqwUiPEAqn3wQgXjHjqmNbCrf4iryObm+6yUK8Eh/MkqRCCCGEEC/riy++IDw8nPHjxwOQmppKamoqAHa2lszrWZZPLY+gTVeIw4JrBXtRsuUwvG3t3mazhXijpKcA6SkQQgghPgaXL19m3rx5HD58mOTkZHo1Kkn/fBfIrcnoMThj05iCHX/Bzr7AW26pEK+GDB/KJgkKhBBCiDcjJSWFiIgITExMyJs3LxqN5o234ebl46RsHUnxVB8AArUuJDSYSgnvJm+8LUK8Ttl5x5XVh4QQQgjx2gUHBzNo0CDy5MmDi4sL9vb2eHp6Mm/ePL0dhLPq9OnTdOnSBScnJ3Lnzk3lypVZsGABCQkJz26D/0XOTW9FoY1NKJ7qQ4JiwsnCw3H6+qwEBOKjJz0FSE+BEEII8TpdunSJ+vXrExUV9dT85s2bs3HjRoyMjLJU38SJE5kwYcJT80qUKMGePXtwcnJS00ID/bi7+TvKRe/CQJPx2nPOqi4FPpuOfYFC2XsYId4jMnwomyQoEEIIIV6P5ORkPDw8CAoKAsDc3Jx69eoRERHB6dOn1XJjxozhxx9/fGF9y5Yto0ePHuq5paUluXPnJjg4WE0rW7YsZ86c4UHEHW5tnEjZe/9grEkH4KK5N1ZNJlCoVJVX9YhCvLNk+JAQQggh3gkbNmxQA4Ly5csTGBjIli1bOHXqFLt27cLAwACA+fPnP3foD4BOp+OHH35Qz7///nsiIyMJCgri9OnTuLm5YWVphlfeNI5NqI31wgpUjtqIsSadKyZl8Wu+iTKjdklAIMRTyJKkQgghhODatWtcvnwZAwMDKlWqhJub2yupd9OmTerx9OnT9Tb9atSoEZ9//jl//fUX0dHRHD58mCZNnj22/9SpU9y8mbGPQN26dRk7diwAj+Jj0EReZFXPgpRNi8dUE6ReczqxAOMOp2Ljko95X3i9kmcS4kMkQYEQQgjxETt16hQjRozg+PHjappGo6Fp06bMnDmTwoULv1T90dHR6nGZMmUy5ZctW5a//vorU1mApKQkVq1axdKlS7l58yY6nU7Nq1e3Hr5n9vHw3/mUjD1CBU3K/zcebqXlYcOd3Kw5Hc55X5//f9AbXLt2jaNHj5IrV66XeiYhPkQSFAghhBAfqcOHD9O4cWOSkpL00hVFYfv27Zw6dYpjx45RtGjRHN8jf/786vGhQ4do3bq1Xv7BgwfVYwcHB/X47t27NG7cmKtXr+qVNzM1plv94rRM+Iti26dkJGrgDg6sDbRi9alIzvneIn/+RCZPnkxAQADz5s3jwYMH+Pj4MGnSJGbMmJHj5xHiQyUTjZGJxkIIIT4+qampFCxYkJCQEACKFStG586dSUpKYunSpdy9exeA6tWr8++//+b4Pjt27KBZs2YAuLq6snHjRsqVK0dqairz5s1j2LBhAOTLl4+vv/6apKQknJ2dmTZtGpcvX1brqejlQdeK1nR2vIOtNmPuQbJixKVcDbCt2Y/Jc5axbOkytfzvv/9O7969AQgICMDT05Pk5GRsbGwIDQ3F3Nw8x88kxPtCVh/KJgkKhBBCfGzWrVtH+/btAahZsyZ79+7F2NgYgJiYGCpUqKCO379w4cJTh/5kRXp6OpUqVeL8+fNqWuHChXnw4AEPHjx47rUmxkb0aVmJnl5QJv2Kmh6clpvfA3KzYPcNPEp64ejoyIYNG9ThRXnz5uX27dtYWFio13Ts2JHVq1cDGXscVKxYMUfPI8T7JDvvuDJ8SAghhPgIHTp0SD0ePXq0GhAA2NraMnjwYPUr/qFDh3IcFBgYGLBlyxYaNmyIj0/G+P6AgIDnXlOxhAtfVM9LO/u72GqvQMZqolw2rUBauZ40+HwQDx4EAhB17Fim6zdu3KgXEABYWVmpxznZLE2ID50EBUIIIcRHKDk5WT3Oly9fpvwn054smxNOTk6cPn2aZcuW8ccff+Dn54epqSnW1tbqcqUlPAox6vPqeCvnKUoQEANASHoufPM2oUTLYXi5eQDQv//1THsaaLVatafgzp07enlxcXFs3LgRAENDw5eaIyHEh0r2KRBCCCE+Qk++GP/999+Z8tesWaMee3h4vPT9LCwsGDhwIBcuXCAhIYFbt24RGRFJ4ypF2TCkPOc/i6GbsomiBJGsGLI5uhDN9+bH9ac7bPLT4uj2Xxt8fX3V4w0bNuDv76++9AP06dOHX375BT8/P7Zt20a9evXU3ZTbtGmDnZ3dSz+PEB8amVOAzCkQQgjx8QkPD8fZ2Zm0tDS0Wi3jx4+nZ8+eJCYmMnPmTObPnw9krAgUFBSkN7zope99J4CL66ZS4sFeXAz/m1dwS+tGZOF2nAw1ZPhX36jpZcqU4cKFCwDs37+fhg0botPpyJcvH8HBwZiYmKAoCq1atWLr1q3PvK+trS2nTp2SngLx0ZCJxtkkQYEQQoiP0bfffstPP/303DJLliyhfv36xMTE4ODgoG4+pigKZ86c4fr16xgaGlKtWrUXbngWFR7MzXXjKBe1FSNNxkSBOMWMg6lelGg3lsKlq6PRaomOjqZgwYLExMQAGUN+OnXqxJ07dzhw4IBa34QJE/juu+/U84SEBHr37q1OKH6Su7s769evp1y5cln5aYT4IEhQkE0SFAghhPgY6XQ6Ro8ezfTp0zPlGRoa8vnnn3P16lX1Kz1k7ELcqFEjli9fzqVLl9R0jUZDs2bN+O233zIFB3Ex97m27ntKh6zCXJMxP+GaYUlmnUhg5QFfLK1tCAgI0JsMPHToUGbPnv3Mtjdr1oxNmzZhZGSUKc/Hx4cVK1YQFBSEpaUlTZs2pUWLFhgaylRK8XGRoCCbJCgQQgjxMbtx4waLFy/m0qVLGBgYUKVKFYKCgvjjjz+yXZeDgwPHjx/H3d2d5KQELmyYjseNReQiHgA/Qw/S6k6gZNWmfPrpp2zYsAHIGCL07bffUrBgQTZv3szUqVPVCc4GBgakp2f0LLi7uzNo0CAGDx781IBACPEfCQqySYICIYQQ4j9r1qzh888/V8/LlSuHl5cXBw4cIDg4WE0vUaIEvXr1IiYmhqVLFmNumIZHgVzUKl2QaiUccb13iPzcAyBIW4D7lb+mbINOaLQZ65z4+/tTpUoVoqOjn9mWLl26MHPmTEJCQjAzM6NQoUJotbJOihBZIUFBNklQIIQQQvyncuXKnD59GoD58+fTr18/9XjAgAFAxhKgk4Z1pkn+aPI+uoGDLkKdJ/CkSHITWGoI5VoOxNAo82Tlixcv8tlnn+Hv76+XrtVq6du3L7NmzZIeASFySIKCbJKgQAghhMgQGRmJvb09AKVKleLSpUtoNBoAOnXqxNGDu+hbz52ublEUMND/wp+kGHE7NTe3Ey1ItyuCg2dNSjXsjqm55XPvqdPp2L17N7t27eLRo0e4u7vTpUsXXFxcXs9DCvGRkB2NhRBCCJEjsbGx6nHJkiXRaDSkp6Vx5fB6vnC9yYov0jHQ3AAgRmeOr0MLLEs1I49bSTZu2c3AQYMAmD+/Ly1a98vSPbVaLU2aNKFJkyav/oGEEFkiQYEQQgghVPb29urE3gtnT3J8xXjcbq+mjBIJ/z/650SCM79fMeB8qI6LlxYBGUuUrn5iw7PixYu/jeYLIXJIggIhhBBCqKytrenZsTUVzQLp6BCMxa1ZAMRgyWmzWoz4/RDXbl4DoEGDBgQFBREdHc20adM4evQoAEWKFKFGjRpv7RmEENknQYEQQgghALh6dAvpR2ezqOAZNc031Z551yzZeSWagFv6m4Lt3bs3054EGo2G6dOnywpBQrxnJCgQQgghPnLhdwIIWzOUso8yvvTrFA2nDcrw4557bDvmk6m8ubk5CQkJmdItLCxYuHAhLVu2fO1tFkK8WhIUCCGEEO+h+/fvs3XrViIjI8mTJw8tWrQgb9682aojNSWZc3//iFfAAhw0yaQpWs7lbY1T45FUKezJb10DKT5vHps3byY2Npb8+fPTuXNnevXqRVRUFIsXL8bHxwcjIyOqV69O9+7dyZUr12t6YiHE6yRLkiJLkgohhHh/JCcn89VXX7Fo0SJ1x18AY2Njevbsya+//oqZmdlTr1u/fj0bN27k/v37VPTIR7/81yhECADXjUpi2noG7iUrv7FnEUK8XrIkqRBCCPEBSk9Pp23btmzfvj1TXkpKCgsWLODmzZts375db8Ovq1ev0qJFCwIDAynm5sD4Zo58nucCAPd1llwqPJDanUajNTB4Y88ihHi3SE8B0lMghBDi1Xn06BHbtm0jJCQEGxsbmjRpgpOT0yupe8WKFXTr1g0AExMT+vXrR9WqVTl9+jTz5s0jMTERgIULF9KnTx8AQkNDqVe7Go09c9GpaBIVTO8CGfMGlkcU5qu//bDJnY/z589jY2PzStophHg3yI7G2SRBgRBCiJel0+mYPHky06ZN09sAzMDAgM8++4y5c+diZWVFUFAQaWlpuLi4YGpqmq17VKlShVOnTgGwbds2mjVrpubt37+f+vXrA1CmTBlOnjjGtUNriT/6B94GPhhr0gFIVzRcNS1PQP5WjJk8F39/fwCmTJnCqFGjXuo3EEK8WyQoyCYJCoQQQrysgQMHMm/evGfmOzg4oNFoCAsLA8DS0pKuXbsyZsyYLPUkpKenY2RkhKIoFC1aFF9fXzQajV6Zat4V8bBNoWVRA+rbhmKpSVTzrqTk536hNng260ceBxcAfH191U3GihQpogYIr4KiKKSmpmJsbPzK6hRCZI8EBdkkQYEQQoiXceTIEWrVqgVkrNPfrVs3GjRogI+PD3PmzNHrOfhf+fPn5+DBg3h4eDz3Hmlpaeo8gTJlynDhQsacgLu3rnHnxAasgvbikXwVQ41OvSaC3KwOtmPZsXDyuhRn7969meotXbo0ly9fRqPRkJaW9tL7Cxw5coRZs2axfft2kpOTyZcvH127dmXo0KEUKFDgpeoWQmSPBAXZJEGBEEKIl9GhQwf+/vtvAObMmcPAgQPVvFatWrFlyxb1vEGDBlhbW7Nz5051rf8SJUpw5cqVF76QFy9eHF9fX7RaLduXTcX5ziZKplzRK+OTYs++qLzkLteKdDN7unfvDoCnp6f68v9Yeno6BQoUIDw8HFNTUxISEjL1PmTH5MmTGTNmzFPzcuXKxY4dO6hSpUqO6xdCZI8EBdkkQYEQQoiX4eLiwp07d7C0tCQqKgoTExMAwsPDcXZ2Ji0tTS3r6+uLh4cHERER1K1bFx+fjM3Bdu3aRaNGjZ57nxnTpxB+ai39PaJxM7wPQJqi5ZKmGP/c1LL68A0C7tx75vXr16+nbdu26vn8+fMZMGAAAM2aNWPbtm05+wGATZs20aZNG/U8X758FCxYkPPnz5OSkgKAnZ0dfn5+2NnZ5fg+Qoisy8477ju/B/ndu3fp3LkzdnZ2mJmZUapUKc6ePavmK4rC+PHjyZ8/P2ZmZtSvX58bN268xRYLIYT42Dx+6TcxMdFbCnTnzp16AcGTZe3t7Zk0aZKavnnz5mfWfyfgCifn96V3/AymlAzAzfA+MTpzZgQVpdDvWipMPMn3fx1/bkAA0K5dO9q3b8/UqVNp0aKFGhAADBo0KMvP+zRTpkxRjydMmEBISAgnTpwgODiYmjVrAhkbri1ZsuSl7iOEeD3e6X0KoqOjqVatGnXq1GHnzp3kzZuXGzdu6O2WOHXqVGbPns3y5ctxd3dn3LhxNGrUCB8fn2yv6iCEEELkRKlSpQgLC+P+/fts376dFi1aAGSaS2BhYYG7u7t67unpqR4/WVbR6Qi4fIyosxtxCN2Puy4IZwANBGmcWBXmyo9/HuRRQvhT2+Pm5kbXrl3R6XQsW7aMkJCMDcoURWHdunWsW7dOr/ygQYNe2EvxPEFBQeqqSF5eXowfP14dhmRvb88ff/xB0aJFAfj777/56quvcnwvIcTr8U4HBVOmTMHZ2ZmlS5eqaU/+Y6ooCjNnzmTs2LG0atUKyFjD2d7ens2bN9OhQ4c33mYhhBAfluTkZKKiorCwsMDW1vapZfr06cOePXsA6NKlCxMnTqRhw4bcuXNHr1ynTp0wNzdXz/ft26ceOzrm5+rRLTy6uBnXqMMUIYoi/5+Xpmi5alIWjXd/StVswzcGBtTvdYa1a9dy7949Hj58yIYNGwAoW7YsR48eVe8zevRoqlSpwrVr1zK128nJiVGjRjF48OCXmksQGRmpHletWjVTXUWKFCFv3rzcu3ePe/ee35shhHg7Xmr4UEpKCn5+fpm6Rl+VLVu2UKFCBdq1a0e+fPkoW7Ysv//+u5p/+/ZtwsPD1XWZAWxsbKhcuTInTpx4Zr3JycnExcXp/QkhhBBP8vPzo1evXuTKlYsCBQqQK1cuvL29+fvvv/nf6XitW7emXr16QMYX/2HDhlGiRAl+/fVXvXJubm6kpqaiKAq7d+/m55++p0PdkqwZWI5xFqvx3NeFylEbcCCKBMWEw0pZhvl44jA7jbLfHqTR54P5bsIEYmJiqFixItOmTWPZsmXqV3iAL7/8Ui/wsLS0ZOTIkep5t27dWLt2LYcOHSIwMJAhQ4a8VEAAkCdPHvX49OnTmfJv3bqlBgMyn0CId1OOgoKEhAR69eqFubk5JUuWJDg4GIDBgwfz888/v7LG3bp1i/nz51OkSBF2795N//79GTJkCMuXLwcyJnBBRtfkk+zt7dW8p5k8eTI2Njbqn7Oz8ytrsxBCiOxJSEjgr7/+4ptvvmH8+PHs3bsXnU734gtfo0OHDlG+fHmWLFmi7hIMcPLkSTp06MDAgQP1AgMDAwM2b96sN4n3acaMGUPRQq6M+Kwqut2judE7jdU17vBZngBsNI94gBUnrBtzquIsGuxxp/akw8xad5z7MQ8BiIiI4IcffqBy5cqEhoaq9SYnJ6vH//vfxP9Nc3R0pF27dtSqVQtDw1czYMDNzY3y5csDcP78eaZOnUp6esZmadHR0fTr108t265du1dyTyHEK6bkwJAhQ5Ty5csr//77r2JhYaHcvHlTURRF2bx5s1KmTJmcVPlURkZGire3t17a4MGDlSpVqiiKoijHjh1TACU0NFSvTLt27ZT27ds/s96kpCQlNjZW/btz544CKLGxsa+s7UIIIV5s4cKFiq2trQLo/RUpUkQ5fvz4W2nTvXv39NpkY2OjtGjRQilevLheGxcuXPjU669cuaKMHj1a6dy5szJgwABl+/btSp8+fRRnh9zK3F4VlEfj8yjKd9bqX9BYd2XF8LpKvQqFFa1WqwCKnZ2deh+NRqPUqlVLqV+/vmJgYKCm16xZU73nggUL1PQ+ffpkalO3bt3U/KVLl76W3+3vv//W+32cnZ2VOnXqKObm5mqara2tEhkZ+VruL4TILDY2NsvvuDkKClxcXJQTJ04oiqIolpaWalBw48YNxcrKKidVPvM+vXr10kubN2+e4ujoqCiKoty8eVMBlAsXLuiVqVmzpjJkyJAs3yc7P5gQQohX47fffssUDDz5Z2Zmppw+fTpHdaempioPHz5UdDpdtq+dMmWK2oaGDRuq/23Q6XTK4sWL1byiRYtmqf6Qm1eVk7M6K8njc6uBgO+YIsq8QfWV0YN7qoHA0/5MTU2V8+fPq3X5+/srBQoUUPMf/z7R0dF6L9/ffvutcufOHSUwMFAZNWqUmm5lZaXEx8dn+zfJqnHjxj3zWaysrJTDhw+/tnsLITLLzjtujoYP3bt3j3z58mVKf/To0UuPS3xStWrV8PPz00vz9/fH1dUVyJh07ODgwP79+9X8uLg4Tp06hbe39ytrhxBCiFcrKiqKL7/8Uj3/7LPP2LZtGytXrqRixYoAJCYm6m0ClhU7duygUaNGmJiYYGlpib29PV999RV3797Nch0bN25Uj+fOnauu7a3RaOjZs6e6vKa/v7+6x8DT3PY5w9lf2+KwvBqVH2zBWJOGj5Enl2stpuj3vtTsN5Pp85arQ6WcnZ35/PPP9Yb6JCUlqSsHQcaE3XHjxqnnj5cxtbW1ZezYsWr6jz/+iLOzM25ubkydOlVNnzBhApaWlln+LbJr0qRJ7Nq1i8aNG6sbsVlbWzNw4EAuXLig/nZCiHdQTqKOGjVqKLNnz1YUJaOn4NatW4qiKMqgQYOURo0a5aTKpzp9+rRiaGio/Pjjj8qNGzeUlStXKubm5spff/2llvn5558VW1tb5Z9//lEuX76stGrVSnF3d1cSExOzfB/pKRBCiDdr2rRp6hfkL774Qi8vKSlJKVGihJp/7ty5F9an0+mUkSNHPvMrdZ48ebJUj6IoSpEiRRRAsbS0fGr+sGHD1Hr//fffTPkhN32UM9M/0RsidGlyPeXaiZ165fr06aM35Cc1NVVRFEUZP368Xttr166td93p06fVvP79++v9BuPGjVM0Gk2m59dqtcr333+fo56TnEpOTlZiYmKU9PT0N3ZPIYS+1z586N9//1UsLS2Vfv36KaampsrQoUOVBg0aKBYWFsrZs2dzUuUzbd26VfH09FRMTEyUYsWKKYsWLdLLf/yPoL29vWJiYqLUq1dP8fPzy9Y9JCgQQog3q0OHDuoL6/8OAVUURfn1119fOHb/SU8O6+H/x7NXr15dMTY2VtMcHByUuLi4F9ZVs2ZN9Zonh+4oSsZ/c8qWLavm+/v7q3n3I0KUE3N6Kcnjc6nBwLmpzZUbFzMHDoqiKPb29gqgmJub67XryfkBj/+io6PV/KlTp6rpEyZMyFTvzZs3la+//lpp0KCB0rBhQ2XMmDHK7du3X/jcQogPz2sPChRFUQICApTevXsrFStWVIoXL6506tRJuXz5ck6re6skKBBCiDfrs88+U19sL168mCl/xowZWQ4KdDqd4uHhoZafPXu2+nU6LCxMqVKlipo3b968F7Zt/vz5avly5cqp8+YSExOVsWPHqnkVKlRQFEVRHsXHKMeXjlbix9s/0TNQR7lx8ehz72NiYqIASsmSJfXSIyIi9IIZQAkMDFR0Op2yd+9excbGRk339fV94fMIIT5e2XnH1SjK/yy2/BGKi4vDxsaG2NhYdeyoEEKI12fatGmMGjUKgH79+jF//nw1LyUlhfLly3P16lUAzpw5Q4UKFZ5Z1+XLlyldujQANWvW5PDhw3r5ly5dokyZMgDUrl2bgwcPPrdtDx8+pESJEurGYxqNhuIlipP0MBprEwMc7czJb2tK8zqVcbCAQpF7yEs0AAEGhUis9R2larZ64W9QsGBBbt++jYGBAYGBgRQoUEDN69+/PwsWLFDPHR0dMTY2JjAwUE379NNPM+1MLIQQT8rOO26OFijesWMHBgYGmbZE3717NzqdjiZNmuSkWiGEEB+J7t27M27cOJKTk1mwYAHx8fF06dKFmJgYZs6cqQYE5cuXV9e/f5Ynd8h92iITpUuXxsTEhOTk5CztpmtpaalOWFZSHzG6eRG6O9/BRvN4v4L/3/DyUSA8yjgM1dgTWv5LyjXphdbA4IX3gIzdjX/44QfS09Pp3Lkzy5cvx9XVlfv37xMdHa1X9sk9CQBq1arFkiVLsnQfIYTIihwFBV9//fVTNylTFIWvv/5aggIhhBDPlTdvXqZMmcKwYcMAWLlyJStXrtQrY2pqyty5c1+4ql3evHnV4+PHj2fKv3jxorq515Nln8fOyoi1o+pR/sEOTDX+avoDxZJobS4SjPOSZJqHNPN8GNoXp3ST3jiamGap7scGDBjAvHnzePDgAYcPH8bd3Z2CBQsSHBxMamoqkLEpWrly5fDx8UGn01G2bFn69OlDx44dMTIyytb9hBDieXIUFNy4cYMSJUpkSi9WrBgBAQEv3SghhBAfvqFDh2JsbMzXX39NXFycXl7BggVZvnw5lStXfmE9pUqVwsPDAz8/P/79919mz57NwIEDMTAwICwsTG833fbt22e6/tSpU/z222/s378f5zyWjG6Yj5aW18mvSQcN+BoWJ8l7GCWqtya3iSm5X/7RAcifPz/bt2+nWbNmPHjwAEVRuHnzpppvYmLCypUrX7hLshBCvAo5mlPg4ODAqlWrqFu3rl76vn376NixI5GRka+sgW+CzCkQQoi359GjR6xbtw4fHx+MjIyoXr06DRs2xCCLw3AAli5dSs+ePdXzAgUK4OrqyunTp9Wv7vnz58fPzw8rKyu13MSJE5ny8098WqMonT0NqG8ViFaT8Z/Fo0kF0dQYSdUmHdFoc7StT5ZERESwaNEiVq5cSXh4OLly5aJNmzYMGDCAQoUKvbb7CiE+fNl5x81RUNC3b19OnDjBpk2b1H+wAgICaNu2LRUrVuSPP/7IWcvfEgkKhBDi/aYoCqNGjWL69OlPzc+TJw+7d++mXLlyAKSnpbHit0mYBGynRZ4QrDRJatmdse78eCCWY5cDKVOmDGfOnMHQMEcd60II8Va99qAgNjaWxo0bc/bsWXW1hJCQEGrUqMHGjRuxtbXNUcPfFgkKhBDiw7Bz505mzZrFvn37SE9PJ1++fHTv3p3+/fqSHh/Og9sXSb97gYKR+8jHA/W6u4odgY7NKVC7J1EP02nXrh23b98GMnYNbtXqxasJCSHEu+a1BwWQ8VVm7969XLp0CTMzM7y8vN7b7cslKBBCiA/LzaunCD+5DtMYf/Ik3MQpPRRDjU6vTIzOnE2RTpyKy8e8P7fqrRq0fft2mjdvDsjSn0KI99drX5IUMtZtbtiwIQ0bNsxpFUIIIcQrdefGJSK2TKRc3AEKaZ745qWBWCy4a1yQeOsi3Fac6PblFFJSwvnxxx8zLSNav3599TgsLOxNNV8IId6aHAcF+/fvZ//+/URGRqLT6X99kbWThRBCvEmhgX6EbJ5A+eidOGsU0MAF86okO1bCvIAX+YuWJ4+DCzb/P2H40YEDpKT8CGRsfva/Ll26pB7b2Ni8mYcQQoi3KEdBwcSJE5k0aRIVKlQgf/78L1xDWgghhHgdIu/e5vbGCZSN2orj/y8hetGsCpaNx1O2dLVnXle1alXs7Oy4f/8+69ato0ePHuqGnLGxsXz55Zdq2datW7/uxxBCiLcuR3MK8ufPz9SpU+nSpcvraNMbJ3MKhBDi/aDodNz2OUPEuS3YhhykaIoPBv8/TOiKSVmMGoyjWIV6WaprwoQJTJw4UT2vWrUqjo6O7N27l9jYWADs7e25efMmFhYWr/5hhBDiNXvtcwpSUlKoWrVqjhonhBBCZEfio3j8jm8l2XcXrvePUZAoCj7O1ICPkSdK7TGUqtYsW/V+++23XLhwgS1btgCZd0O2sbFh8+bNEhAIIT4KOeopGD16NJaWlowbN+51tOmNk54CIYR4tyQnJXBw3Xw01/+hupEvFppkNS9RMcbfvCxJ7vVxrtQKRzePHN8nLS2NhQsXMmfOHHx9fQEwNTWlY8eOfP311xQpUuSln0UIId6W174k6dChQ1mxYgVeXl54eXlhZGSkl//rr79mt8q3SoICIYR4+1JTkvE5toWUi+vxiDmCtSZBzbuTnoudEXnY5vOQS0HxrN+4mdDQUPz8/DA1NaV27dp4eXnl+N6KohAaGkpiYiKOjo6Ym5u/ikcSQoi36rUPH7p8+TJlypQB4OrVq3p5MulYCCE+bMHBwcybN48NGzYQFRWFvb09HTp0oF+/fjg4OOSozgt7/sLp+DhKP95QTANh6TZsCrNn45WHhD3S4nv9grraXZUqVTKtfFejRg3++OMPihYtmu37azQanJycctR2IYT4EOR487IPifQUCCFE1mzfvp327duTkJCQKc/W1pYtW7ZQo0aNLNcXfS+MmysGUiF+PwD3sWF3nDuLj4Ry8NxNhg0fxg8//IC5uTmBgYHUrl2boKCgZ9aXN29eTpw4QaFChbL/cEII8YF5Izsaf0gkKBBCiBe7du0aFSpUICkpCQBDQ0NcXFwIDAxUv9pbW1tz5coVXFxcXljf+V3LcD05HjtiSVc0nHbqgkO9oRQsnDGOv1ixYvj4+Kg90GFhYbi4uJCWlgZkBCFz5swhMjKSOXPmcOvWLQBatGihTh7+X4qikJiYiLGxMYaGOd6qh/DwcBYvXszhw4dJTk6mWLFi9O7dm4oVK+a4TiGEeNWy846rzelNzp49y6hRo+jQoQNt2rTR+xNCCPHhmT59uhoQfPLJJ4SEhHDz5k0CAwPVHYDj4uKYM2fOc+t5EHmXc9NbUe7kUOyIJVDrws1W/+Dd5zfuR8eo5WrWrKk3JHXx4sVqQABgZWVFp06dGD58OOfOnSN//vwAbNu2LVNvQkREBGPGjMHR0RELCwtMTEyoX78+W7ZsIbvfxpYuXYqbmxtjx45l7969HDlyhEWLFlGpUiU6duxIcnLyiysRQoh3TI6CgjVr1lC1alWuX7/Opk2bSE1N5dq1axw4cEB2fhRCiA+EoiicPn2a+fPnM3fuXFavXg1kfKH/888/sbe3B8DZ2ZmVK1dibGwMwJ9//vnU+oJ8z3Ni6Wg086pQ/uEh0hQtJ5x6kH/UKYqWqwVA7ty51fIXL17Uu/7EiRN657a2tnrHPXr0UNt96tQpNe/q1auUKVOGyZMnEx4eDoBOp2P//v20atWKwYMHZzkw2LRpEz179nzmi//q1avp3bt3luoSQoh3SY6Cgp9++okZM2awdetWjI2NmTVrFr6+vrRv3z5LXcZCCCHebSdOnKB8+fJUrlyZAQMGMGjQIPVFuHjx4pnW7s+XL5+6+k94eDg6nQ5Fp+PmlZOc/GMEQZM8cV1TB++gBeQijgCc8W++Ae8vZmJi+t9KP+7u7mo9p0+fZt68eeoLe0pKit49/7dn+skVg9LT0wFITEykWbNmajBgaGhItWrVcHV1VcvOnTuXefPmvfA3URSFb775Rj3v0aMHAQEBxMTEMG/ePPX+f/31F1euXHlhfUII8U5RcsDc3Fy5ffu2oiiKkjt3buXy5cuKoiiKj4+P4uDgkJMq36rY2FgFUGJjY992U4QQ4q07fPiwYmJiogBP/dNoNMrhw4f1rklISFBsbGwUM1Nj5ZPaXsqJ+f2VOxOKKsp31upf8vhcyt4RXkrf5qUVI0NDxc7OTpkyZYqi0+n06lqxYoXe/YoVK6a0atVKMTU1VdOMjIyUu3fvqtckJycrHh4eav61a9cURVGUpUuXqmlly5ZV7ty5oyiKoqSnpysLFy5U89zc3JS0tLTn/i5Hjx5Vy1erVi1Tu3/99Vc1f9iwYTn+/YUQ4lXJzjtujnoKcuXKRXx8PABOTk7qsqQxMTFPXZFCCCHE+yE9PZ3u3burvQJeXl7MmjWLmTNnYmlpCWR8Mf/kk09IT09Hl55OwKVjrJrUhc29XXgwyoqNtQKpEr6SAko4SYoR+xKL0euUK/YzU2jw62UWbrtEaloa9+/fZ/To0QwaNEivDZ07d2bYsGHqua+vL//88486n+FxO2fOnMm5c+fYuXMnDRs2xM/PD4Bq1apRokQJANauXateM2fOHAoUKACAVqulT58+NGzYEIDAwEDOnDnz3N/mxo0b6vGnn36aaQnu9u3bP7WsEEK8D3K09ELNmjXZu3cvpUqVol27dgwdOpQDBw6wd+9e6tWr96rbKIQQIgsSExP5+++/WbVqFWFhYeTKlYtPPvmE7t27kytXrmdeFxERwebNm4mMjCQsLIzbt28D4O3tzeHDh9UNKosUKUKzZs0AMDFIZ8GAmrS3D6awNo7CJoDJ/9dHboJsq2BQtCH7r4QxetK3AJiZmTF48GC8vLzYv38/a9asAWDevHm0bduWunXrAhl7Bvz6669Ur16dGTNmcOzYMQCMjY0pVKgQ169fR6fTMW3aNKZNm6b3LKampnobaEZFRanH3t7emZ7d29ubPXv2AHDv3r3n/r5mZmbqcVhYWKb80NDQp5YVQoj3Qk66Iu7fv69226anpyuTJ09WWrRooYwYMUJ58OBBTqp8q2T4kBDifefn56cUKlToqcN9cufOnWm4j6JkDPnp06ePYmRk9NTrVqxYkemaPl3bKUv7lVcSx+dWhwU9HJ9X2T28tDLq03LKvF+/V3Tp6YqiZPz3wd3dXa3v+PHjenXNnTtXzWvTps0zny06OloJDg5WEhMTlfT0dOXrr79WDA0NM7XXyclJOXjwoN61TZo0eeb9FUVRGjVqpOafOHHiub/x3bt3FQMDA/U3DQ4OVvNSU1OVFi1aqHXNmzfvuXUJIcSbkJ13XNmnANmnQAjxfouJiaF06dIEBweracbGxnoTcy0tLTl79iweHh4ApKWl0bx5c3bv3v3Mej09PTl37hzGxsb4nz/Mw/3TKfPwX7SajP9snEkqwPTTsOlff+rUrcuoUaP0eotDQkJwdnYGoFatWhw6dEiv/tTUVOzt7YmOjiZv3rxERkZm+ZnDwsJYsWIF/v7+mJiYUKdOHVq3bq32ajy2bNkydVWismXLsmXLFgoUKIBOp+OPP/6gb9++ALi5uREQEICBgcFz79uhQwf+/vtvAGxsbOjSpQt58uRh7dq1+Pj4ABkrIQUHB2NlZZXl5xFCiNfhtW9eZmBgQFhYGPny5dNLv3//Pvny5VNXfXhfSFAghHifTZs2jVGjRgEZL/KLFi2iSpUq+Pr6MmTIEPbt2wdkrJazZMkSQP9l+fGwnmrVqvH777+zbds2ADRoWDR5ON6605RMuazeb3ecO1MOP6Rd75HUrVuXPHnyYGdnB2SsPLRs2TIuXbpEYmIi//zzDwCtWrVi8+bNeu1WFAVXV1fu3LmDjY0NMTExr/y3SUxMpFixYmrAZGhoSOXKlQkJCdHby2DOnDkMHDjwhfVFRERQvXp1AgICnppvaGjIpk2baN68+at5ACGEeAmvPSjQarWEh4dnCgpCQ0MpVKgQiYmJ2a3yrZKgQAjxPitZsqT6lfr69esUK1ZMzYuLi8PFxYXY2FhMTExYsWIFhoaGTJo0iUuXLgGwa9cuGjVqBMCjR48oVNCFztVdGVg8FnfDjDH5qYoBe1NL8+2GAC76h5ArVy7u3r2rjp1XFIXJkyczYcIEUlNTM7XR2NiY4OBgdW8DgCNHjlCrVsb+BN7e3hw/fvw1/DoZ+xQ0aNBAXZb0fw0YMIA5c+Zkmjj8LJGRkXz11VesWbNGrzfG29ubn3/+mZo1a76SdgshxMvKzjtutiYaz549G8iYBPbHH3+oK1FAxkoQR44c0fuPkRBCCIiPj2fp0qUsX76coKAgLCwsaNKkCYMGDcLT0/Ol6388MdjDwyPTv8HW1tZUqlSJvXv3kpyczGeffaaX7+bmpq7AE34ngMDtv+LXzxgbzU0AYnTmLA8pwIxdtwkKO6ReN3XqVL3JtFOnTuXbb799ZhtTUlKoVKkSc+fOVScaP7nm/+vc8MvT05OLFy8ye/ZslixZQnh4OFqtljp16jBkyBBatGiR5YAAMvZkWL58Ob/88gunTp0iOTmZYsWKqSseCSHE+yhbPQXu7u4ABAUFUaBAAb2xl8bGxri5uTFp0iQqV6786lv6GklPgRDidQkICKBhw4bqi/uTtFotv/32GwMGDHipe+TNm5eoqCisra0JDw/Xe1n38/PD09OTtLS0p16r1WrZunIuDiE78Ir/F0ONDoDbaXn4zceG33df52HCf0uBPl7dp3///mra/fv3cXJyUpcxHTp0KL169SIpKYmffvop07Ch/1WhQgWOHj2KiYlJTn+CLFMUhcTERIyNjTE0zNECfEII8d547cOH6tSpw8aNG5+7xN37RIICIcTrkJiYiJeXl974cxcXFyIjI/XW3N+2bZu61OeT165evZo///xTHXPfokUL+vTpg6Ojo17Zzp07s3LlSgDGjx/PxIkT1byiRYuqa+YbGhoycuRIjI2NmTnzV7rULswAz0RKGv83rOaacWnuurWhcacRKCjkzp2bxo0bAxkv7127dlXnDzw2a9YsdV+B/v376+0OrCgKNWrUUJcV/V9169Zl7dq1meoUQgjx8l7b8KHHDh48qHeenp7OlStXcHV1/WACBSGEeFmrV69WA4ISJUqwevVqvLy8iIuLY/z48cyaNQuAH374QS8ouHnzJk2aNMm0Adb58+eZNm0a33//PdevX+fo0aOkpaXh5OSklpk0aRK7du2iTp06HD58WK+OWbNm0bppPYJ2z2bEcBtsNRm9F4mKMXtSSmPu3ZOAu7FMGjkJhYzvRaNGjWL06NHPfc5r166px127dtXL02g09O/fXw0Kypcvj4uLC/nz56dTp054e3tna+iOEEKI1yNHQcGwYcMoVaoUvXr1Ij09nZo1a3LixAnMzc3Ztm0btWvXfsXNFEKI98/jr/cAixcvxsvLC8gY5z9jxgz279/P1atXOXnyJDdv3qRQoUI8fPiQRo0acfPmTfVaa2tr4uLiAEhISGDkyJF69/nflXBOnz7N6dOn1XMDrZYBn9WlWtxGHJaOwVGjgAbupOdm4Y3cLNjtz/2Y/cB+vXpKlSqVpRV5nhyG87idT3oyrWPHjowYMeKFdQohhHiztDm5aN26dZQuXRqArVu3EhgYiK+vL8OHD3/uRDMhhPiY3L17FwALC4tMc600Gg3169fPVHbFihVqQFCsWDFOnjxJbGwswcHB6r+7jxkbG2NhYaGXZmNjox47O+Tmp87lCR5TgNlFT1M66QxajcIVk7JcrDafq1Xn8uPf57kf8zBT2+vXr8++ffv0FpR4lurVq6vHv/zyi96y1AkJCcyZM0c9r1at2gvrE0II8eblqKfg/v37ODg4ALBjxw7atWtH0aJF6dmzp9odLoQQH7vHL+iPHj0iKCgINzc3vfyrV6+qx7a2tkBGUPDYqlWrKFu2LJAxmfhx4AAZQcWNGzdwcnJiw4YN9O7dm/j4eGJjY1nzxy+4hu2gQuo5DDUZw4ceKJb452+FU/3+lCpcKuNeT3yxr1+/PgULFsTOzo527dqp982Ktm3bMmLECCIiItizZw9VqlShe/fuJCUlsWjRIvz9/QEoV64clSpVynK9Qggh3pwcBQX29vb4+PiQP39+du3axfz584GML0Iv2g1SCCE+Fi1btlSH8QwdOpQ1a9aoKwNt2LBB3VTM3d2dkiVLAqgbajk4OOi9mO/atYuoqCj1XFEUYmJicHFxoX379ty9e5e/F89kUsNcNLzz/xONNXAyyYWFFzWsPujLoMHmDG1mS0REBL///rv6EcfIyIiVK1dm2nsmq0xMTFi6dCktW7YkLS2Ns2fPcvbsWb0yVlZWLF68WOYPCCHEOypHw4d69OhB+/bt8fT01OsCP3XqlOxTIIQQ/693797q8JstW7bg5uZGp06dqFKlCp9++qlabujQoeoHFSsrKyCjRzY6Olot8+Tuu489rvvW1VNUT9zJyU9jaGh9m3RFwxnbJgR+tp9zzv1YtvsKySmp/PLLL7i4uODg4MC4cePQ6TKWHx01alSOA4LHmjRpwu7du9Xg5klVq1bl6NGjlClT5qXuIYQQ4vXJUU/BhAkT8PT05M6dO7Rr105dW9rAwICvv/76lTZQCCHeV/b29qxdu5Y2bdqQlJREZGQkq1at0ivTqVMnBg8erJ4/XnUoNTWVb775hnnz5qHVatVg4TEPDw9IjOL89GGUe3iYgoBO0bDhQSFO6krzy8QlAAwoVp74+HjGjh2rN9b/seHDhzNp0qRX8rx169blypUrHD9+nEuXLmFgYECVKlUyzYUQQgjx7snRPgUfGtmnQAjxOl26dImffvqJjRs3qpuIlSxZUt3kS6v9r9PW39+fEiVKqC/wxYoVo0GDBpw/f55jx46hQUOL6h58W8eGStrr6nXbHxXn683BXA0IY9OmTbRu3VqvDUFBQfz++++cOnUKnU5HmTJl+OKLL6R3VwghPmCvZfOy2bNn06dPH0xNTZk9e/Zzyw4ZMiTrrX0HSFAghHgTYmNjCQ0NxdLSkgIFCjxzfP2SJUvo3bs3T/7zbG5qQq9GxRlcMp4iRvcASFc0HEorxcTdUfx7zheAggUL4ufnJ7v1CiGEeD1Bgbu7O2fPnsXOzg53d/dnV6jRcOvWrey1+C2ToEAI8a7Zu3cvP/zwA75XL/JViyL0dAklt/YRAPGKKX/edWHGniAC7txTr8mVKxcHDhyQsftCCCGA17Sj8e3bt596LIQQIufu3bvH0qVLOXz4MMnJyXh4eNCrVy/KeRVnyucl8Qq7jvn/LysaqrHnplsHtl6O4/cNy4mJiQEyVg/69NNPmTRpEoULF36LTyOEEOJ9leWegqzuQKnRaPjll19eqlHP8vPPP/PNN98wdOhQZs6cCUBSUhIjR45kzZo1JCcn06hRI+bNm4e9vX2W65WeAiHE2/DXX3/Rp08fEhMT1TSHPDaMaVmYXgWCMNekAHDDsAgPKw7Gq14nDP5/WFBiYiLXr18nLS2NIkWKkCtXrrfyDEIIId5dr6Wn4MKFC3rn58+fJy0tLWMFDDImxxkYGFC+fPkcNPnFzpw5w8KFC/Hy8tJLHz58ONu3b2fdunXY2NgwaNAg2rRpw7Fjx15LO4QQIjIykpUrV3Lz5k3Mzc2pX78+9evX15sw/CLbtm2ja9eu6rwBp3y2jG5eiN4FgjD7/56By+muKHXG4lX7UzT/U7eZmRnlypV7dQ8lhBDio5bloODgwYPq8a+//oqVlRXLly9Xv05FR0fTo0cPatSo8cob+fDhQzp16sTvv//ODz/8oKbHxsayePFiVq1aRd26dQFYunQpxYsX5+TJk1SpUuWVt0UI8XEIDg5mwYIF7Nq1i0ePHuHm5kaXLl24fPkyM2fOJDU1VS07bdo0ihUrxurVq7M0nl9RFEaNGoWhgQFtangwwNuSqoZ+6u7D55OdmHhUYcvRK1xuXzxTQCCEEEK8ajlaktTJyYk9e/Zk2qTm6tWrNGzYkNDQ0FfWQIBu3bqRO3duZsyYQe3atSlTpgwzZ87kwIED1KtXj+joaGxtbdXyrq6uDBs2jOHDhz+1vuTkZJKTk9XzuLg4nJ2dZfiQEALIGNbTq1cvUlJSsnWdjY0NJ0+efOEyn7s2/cmt7bNp7xhKHu1DNf26UUlSq45g3/lgRn45EkBvuKQQQgiRHdkZPpSjz09xcXHcu3cvU/q9e/eIj4/PSZXPtGbNGs6fP8/kyZMz5YWHh2NsbKwXEEDGhkHh4eHPrHPy5MnY2Niof87Ozq+0zUKI99f+/fvp1q2bXkBgYWGRqdywYcM4evQoa9asUXsHYmNjGTVq1DPr9jmxE78fKtH40iAGFPAnj/Yh9xQbTuTvTNDnhyn+7XG86nzKZx0+U6+5cePGq3s4IYQQ4hlyFBR88skn9OjRg40bNxISEkJISAgbNmygV69etGnT5pU17s6dOwwdOpSVK1diamr6yur95ptviI2NVf/u3LnzyuoWQrzfJkyYgE6nA6B79+6EhYURHx9Py5Yt9cp5e3tTrVo1PvvsM/7991/y588PwPbt2wkJCdErez8ihDMz2lNidwc80vxIVQzYFlOQtgedmJ70Gd595+LqUUYtHxERoR6/yn/7hBBCiGfJUVCwYMECmjRpQseOHXF1dcXV1ZWOHTvSuHFj5s2b98oad+7cOSIjIylXrhyGhoYYGhpy+PBhZs+ejaGhIfb29qSkpKjL8j0WERGBg4PDM+s1MTHB2tpa708IIW7dusXRo0eBjJ2EFy9ejIODAxqNhqioKL2yy5cvV48tLS3p2LEjADqdjgMHDnDjxg0ePozn1LrpGM6vRMXY3egUDafsWhPQbh+t51xh45HrLF68VC+ISE9P5/vvv1fP69Sp8zofWQghhACyMdH4Sebm5sybN49p06Zx8+ZNAAoVKvTULvaXUa9ePa5cuaKX1qNHD4oVK8bo0aNxdnbGyMiI/fv307ZtWwD8/PwIDg7G29v7lbZFCPHhCwoKUo+bNm2qt5rQ/+4+/GRZQG+4Ubdu3ahYwoUFLS2obHIXgACDQqQ3mU7lChmLIrRt25a1a9dy//59vLy86NatG3nz5uXvv//m8uXLAFhbW9OlS5dX+5BCCCHEU+QoKHjMwsIi0xKhr5KVlRWenp6Z7mlnZ6em9+rVixEjRpA7d26sra0ZPHgw3t7esvKQECLLUlNTiYyMJC0tTU0LCAjQK1OpUiW9pY4tLS3V44iICBYuXIhWq6Vx5cJ0L29Jm9w3MdDEEK+YMtnfjaYDplO9wn+rs82aNYuzZ89y69YtoqOjM00mNjAwYPny5djY2LzipxVCCCEye+/XuZsxYwbNmzenbdu21KxZEwcHBzZu3Pi2myWEeA/cvXuXoUOHkjdvXgoUKEDDhg0x/P/NwbZu3cqhQ4fUsj179tS7NikpiS1btjB37lzaNavN9M6luDvGie0Nw2lnF4CBRuGfmCKUWJjK5DWnafvppzx8+N9KQw4ODhw7doxOnTphZGSkV3fFihXZs2cPrVu3fm3PLoQQQjwpR0uSfmhkR2MhPj5Xr16lXr16REZGPrOMRqOhadOmFCxYkB07dqjDJQGsLc0Y0KQ4nQs/pKTxf6udxSiW+OWpT65qPbAvVJaWLVty5MgRABYuXEifPn0y3SciIoITJ06QnJxMsWLFKF269Ct8UiGEEB+r7LzjSlCABAVCfGxSUlIoVqwYt2/fBjJW+Klbty6RkZGcPXv2udfmy23NVy2L0ds5GFttQkZ9igF7Y1059siZCXPWYmzy34pBZ8+epWLFigA0adKEHTt2vKanEkIIIfS99n0KhBDifbZp0yY1IChTpgyBgYFs376dM2fOsHPnTgwMDAD9ycUF7HOxbFgdbg0y4UtXX2y1CdzWOTAzth6Os1NpPusi5q6V9AICQO+rf2xs7Bt4OiGEECL7JCgQQnx0npx3NH36dOzt7dXzxo0b06lTJwAURWH29B858POn3OyroZvNOSw0yQQYFOJ8lVm4jL+Gd4fR3I/JmCtw4MCBTPfau3evevx4LwMhhBDiXfNSqw8JIcSblpaWxrZt29i8eTMxMTHkz5+fTp06Ua1atUzLhj5LdHS0ely2bNlM+WXLluXgnm1MaOVO57jpGGvSQQPXjUqQUnUEXrXaovn/5UorVqxIkSJFuHHjBgcPHuSHH37gyy+/xNTUlHPnzjF48GC13s6dO7/k0wshhBCvh8wpQOYUCPG+uH79Oq1bt8bf3z9TXu3atVm3bh158uR5YT1du3blzz//BDJ6DT755BM1Lyr8Dnum96CNxQVMNRlLlF41KYO29teU8G7y1PpWrFhBt27d1HMrKyvs7OwIDAxU00qXLs3Zs2fV1Y2EEEKI100mGmeTBAVCvPvu3r1L+fLliYiIeGaZ8uXLc+zYMUxMTJ5b186dO2natCkAbm5ubNq0CXfn/Fxb/z1lQtdirkkG4HSSC6bNfsKrRosXtm/ixIlMmDDhqXnFihVjz549ODs7v7AeIYQQ4lWRicZCiA/Ozz//rAYEpUqVYtu2bdy5c4fly5fj4OAAwLlz5/jrr79eWFejRo0oX748AOlJcfz7W2+0s72oGvYn5ppkLiQ50nxvfo7l65mlgADgu+++4+TJk3Tu3Jn8+fNja2tL+fLlmTt3LmfPnpWAQAghxDtNegqQngIh3nUpKSnkyZOH+Ph4zM3NuX37Nvny5VPzjx49So0aGbsFW1hYAGBoaEiNGjUYMGAAjRs3zjTf4PyxvdxcP55W1n4ZcwaAaykOfHfMgA1HrjNo0CBmz56d5XkKQgghxLsmO++4MrhVCPFW+fn5sWHDBu7fv4+9vT3t2rXD3d1dr8zdu3eJj48HoEGDBnoBAUDx4sUxNjYmJSWFR48eqenbtm1j27Zt9OzZk99//x2tVovvmX0kHvyFcgnHKWeTUe50shvTTurYcz6Y2rVrs2fPLOrXry8BgRBCiI+GBAVCiLfiwYMH9OjRgy1btuilf/3113To0IFFixZhaWkJgLGxsZr/5MpBkLFsaPv27UlJSVHT3N3defjwIffu3cPM1JhIv2NsmdCK8gYBFFNC1XIXzKthVmcElSrWZ93reEghhBDiPSHDh5DhQ0K8aQkJCdSoUYPz588/s0zNmjXZt28fRkZGKIpC4cKFuXXrFpAxXKhatWoAnDx5Em9vb73rVi9bSNCJDWj9d+Kl+GGm+S9gSFEMuJirEfZNRuPqUeb1PKAQQgjxDpCJxkKId9rcuXPVgMDOzo5p06Zx6NAhfvjhB/UfrSNHjrBixQogY2fhAQMGqNfXr1+fgQMHsmjRIrp27QqAkaEhnRt4MrNeGo7LK+PtP5XKXMFMk0JYug0rIouwJvdAkobfoNKw1RIQCCGEEE+QngKkp0CIN+l/v/qfP39ebwOxgwcPUrduXQAqVKjAmTNnAEhOTqZx48YcOnRIrz4PV3v613WmU4FQ8mgzdhbWKRqum3gSX6AO12It6D3kGwDmzJlD//790Wrle4gQQogPn+xTkE0SFAjx5sTGxmJrawtAlSpVOHHiRKYyxYoVw8/PD61WS2pqqvoSn5iYyKhRo1i8eDENyrsysooRNS2C1OsiFVtuOrfBtX4/HN08ABg6dCizZ88GwNTUlKSkJJycnOjatSuDBg3C0dHxNT+xEEII8XbI8CEhxHvhad8kFEV5ajqAqYkJvVpV5eI3xfmnXig1LYLQKRr2xbvR/nAB6m6wxLXpV2pAcPz4cebPn69en5SUBGSsZjR58mRKlSrF6dOnX8OTCSGEEO8XWX1ICPFGWVtbU6hQIW7evMmpU6c4d+6cupEYwIEDB/D39wcydijWarXo0tO5uG8V1qdnUCb9JgAJigmX83+KS6OhDGvRlmvXfAAoWLAg9evXJyYmhmPHjundO1euXBQsWJBLly6RlpbGgwcPaN68OdevX8fOzu4N/QJCCCHEu0d6CoQQ2XL+/Hm++OILvLy88PT0pFOnThw+fPiZX/f/l0ajoV+/fup5w4YNmTJlCgcOHGDSpEl88sknal6fnl058888An8sR7kTgyicfpNHiiknHLuSNPACVfrNw9Hdg02bNuHk5ARkzD3Yvn17poBg5MiRhIWFcfbsWYKCgqhevToA9+7dY8mSJS/7swghhBDvNZlTgMwpECIrFEXhyy+/5Ndff31qfseOHVm6dKnengLPkpCQQK1atTh79qxeuoFWS40ybjTxzEWjAsmUMryDVpPxT9RDxYwrBTpQ/JOvsc3jkKnO8PBwpk6dyrJlyzLtZVC8eHGuXbumtxmZv78/Hh4Zw4zKlSvHuXPnXthuIYQQ4n0iE42zSYICIV7sp59+4ttvv1XPDQwM1InAj/Xv35958+Zlqb7o6Gh69erFpk2baFKlKP0qW1DLJhQbTaJeudtaV8ILNKZE66+wyZ33hfWmpqYSHh7O9evXadSoEQB9+vRh4cKFmco6ODgQERGBk5MTISEhWWq3EEII8b6QoCCbJCgQ4vni4+NxcnIiPj4ejUbDlClTGDBgAIaGhvz1118MHDiQ5ORktFotgYGBODs7v7BORafjyuGNGB6dSol0PzU9RrHkpnVF0gvWxa1SC/I5ueeozUFBQbi5uQFP7wkIDg7G1dUVAC8vLy5dupSj+wghhBDvquy848pEYyHeojNnzrBkyRICAgIwMzOjQYMGdO3aFRsbm7fdND2bN28mPj4egB49evDVV1+peb169SIoKIjvv/8enU7HX3/9xTfffJOpjocPH+Lv74+i05F+zwfbc7/hlZYxoThJMeJSvlbYVu5E4TI1KW/48v80ubi4UK5cOc6fP8/58+f55ZdfGD58OFqtlri4OPr376+Wbdu27UvfTwghhHifyURjId6ChIQE2rZtS6VKlViwYAH79u1j69atDBkyBBcXF7Zu3fq2m6gnKOi/vQCaN2+eKb9FixbqcWBgoF5eeHg4/fr1w8XZiZlfd8N4Q2cqnRpM0TR/EhQTTtp/zsP+56k8cDEeFepiYGhISkoKS5YsoXLlypiZmWFhYUHdunVZv349Op0uS23WaDR6wcuXX35JoUKFaNy4MQUKFGDHjh0AWFlZ0adPn+z8HEIIIcQHR4ICId4wRVHo2LEjGzdufGp+XFwcbdq04d9//30l9wsLC2Ps2LG4urpiYGBArly56Nq1a6ZJvs9jYWGhHj/eifhJN2/eVI9TU1M5evQo169fJ+DGDYZ3b0kNg7MEDjFjRdVgSpmE8UgxYWZwEapvzI1jszHkcXBRr4+NjaVu3br06tWL06dPk5SUREJCAgcPHqRdu3a0a9eOlJSULLW7Q4cOer0WgYGB7N69W+31MDc3Z9OmTTg4ZJ64LIQQQnxUFKHExsYqgBIbG/u2myI+AkeOHFEABVCsrKyUhQsXKvfu3VPOnz+vtGrVSs2rXr36S9/r9OnTip2dnVrnk38ajUaZPXt2lurx8fFRr3N0dFRCQkLUvAcPHiienp56dVcs4aLM6VVBCRvrrCjfWat/d8e5KUu/bKK4OtmrZWvUqKF3ryd/A0ApWLCgUqBAAb20oUOHZut32LZtm1KvXj1Fo9EogGJubq707t1b8fX1zVY9QgghxPskO++4MtEYmWgs3qzu3buzfPlyAJYsWUKPHj3UvLS0NDw9PfHzy5h46+vrqy6bmV3379+nePHi3Lt3D8hYLcjT05PAwEBiY2PVcjt37qRx48YvrK9hw4bs3bsXyOg5+PTTTzExMWH9+vU8ePAAd6c8dKvpSgf3WDyMItXrYnTmbL3vTOGWI6hcvx1aAwNCQ0OpWrWqOizp3LlzlCtXjmvXruHp6QlA7ty52bBhA7Vr10ZRFDZs2ECnTp1ISUnB1NSUkJCQbG84lpCQwKNHj8iVKxeGr2DeghBCCPEuy847rgwfEuINe7xbL2QMb3mSoaEh7dq1e2rZ7Fq8eLEaEFSrVo2goCAuXrxIWFgYI0eOVMtNmTIlS/UtXboUd/eMlYAePXrE8uXLWb9mJR2ru3D8q5Lc6p3Cd0Vv4GEUSbJixLa4orQ/XAD7KVF0nXeGqBQLtAYGADg6OjJq1Ci17sfj+9esWaOmjR8/ntq1awMZ8wM+/fRTdXJwUlISmzdvzvZvYm5uTt68eSUgEEIIIf6HBAVCvGEmJibqcWRkZKb8iIiIp5bNrtWrV6vHy5YtU3f8NTMzY9q0aRQtWhSAQ4cOERYW9sL6nJycOHnyJH379qVSqYKsH1yW0GEm/Fb2Ft7md9ApGs7pPDjjNYnk4X4cNqjNukM+pKSkATBr1iy9+h7fHzK+ZAB67ahZs2amNtSqVUs9fvJ3EkIIIcTLkaBAiDfs8ddvgEmTJvHkCL6bN2+yatUqIOPlvVKlSjm+z+OX5vz581O4cGG9PI1GQ40aNTKVfZGHkbfpU/gup9pE0Tb3TUw0aVxPtWe8bxEqbMiL17hjVGwzFGtbu0x7FRw4cIDk5GT1fOfOneqxi0vGROPcuXOraRcuXMh0//Pnz6vHuXLlylKbhRBCCPFiMqcAmVMg3qzQ0FAKFiyoviBXqVKFNm3aEBISwrJly9Sv5n379mXBggU5vo+npyfXrl1Do9Fw584dtacAMlZAKleuHBcvXgQylhx9/GL+NAGXjhG/5yfKPjqqpp23rIlFnZEUq1AHgEqVKnHq1Ck1PyIiAmdnZ70dj8PDw7G1tWX58uUMGjSI1NRUjI2NCQkJIW/evJw8eRJvb28gI1DYv3+/GtCcOXOG+vXrExcXh4GBAYGBgRQoUCDHv48QQgjxoZPNy4R4hzk6OrJgwQJ1gvHJkyc5efKkXpkSJUowefLkl7pPmzZtuHbtGoqiMGDAAFauXImlpSU6nY6ZM2eqAUGFChWeGhAkPIzF9+gmtJfXUCbhBAA6RcMF69rkbvIt5UpUVJ8nNDSU8+fPExoaiqOjIwD29vb06tVLL7B5PCchMTFRTRs0aBB58+YFoHLlylSrVo1jx44RHBxMsWLFqF27NklJSRw7dky9pkOHDhIQCCGEEK+Q9BQgPQXi7diyZQvffPMNPj4+apqxsTEdO3bkl19+0RtKkxOhoaF4eHjw8OFDAGxtbalWrRq+vr56+wqsWbOGzz77DICYqHD8/12H0Y0dFH90BlNNxlf+dEXDBZt65G0yBtfi5fXuM2bMGDWA8fb2ZtGiReoKSn379uXw4cPPbGO3bt34448/9Cb+3r17lzp16nDjxo2nXlOlShV2794t/1sVQgghXiA777gSFCBBgXh7FEXhzJkz3Lx5EzMzM6pXr06ePHmAjPHze/fuJTExkcKFC/PJJ5/obSKWFbt37+aTTz7R+zL/pK+//prhg/pw+981WN7aiUfyFQw1/+0YfEdnx76YAuy9a4F37aZ07doVGxsbvTrCwsLw8vIiKipKTbO2tlaHQUHGEqZ16tTB19cXyOid6NevHzVr1kSj0WRqV3R0NDNmzGDRokXqfAd3d3cGDBjAwIEDMTMzy9bvIIQQQnyMJCjIJgkKxLvkxo0bdO/enePHj+ul29jY8N133zFs2LCnvkg/i4+PD9OmTWPNmjUkJSUB0K5VIzpWd6N40gU80nz1yt/UuLItzJY/DwdyzveOXl6ePHnYvHkz1apV00s/f/48zZo1Izw8PNP97ezs2LJlC1WrVs1ymx/T6XRERkai1WrJmzdvtp5bCCGE+NhJUJBNEhSId0VgYCCVK1d+6lKlj3333XdMmDAh23VHhgVzfctMnCIOUFh3Wy/vdGIBNgeasuV8JMERscTHx6t5Go1Gb4UkKysrzp49q7ekKEBsbCwrVqxgzZo13Lt3Dzs7Oz799FN69Ojx0kOhhBBCCJF9EhRkkwQF4l3Rrl071q9fD0ChQoUYPnw4BQoUYP369fz1119Axku6n58fRYoUyVKdcTH3ubbhJ0oFr8RSkzGMKE3RcirFjfV+GtYfDyQkIjrTdQULFmTp0qXUqFGDa9euMWTIEA4ePAhAz549Wbx48at4ZCGEEEK8JhIUZJMEBeJdEB4eToECBUhPTydv3rz4+vrqfWEfO3YsP/74I5Ax2bZw4cJYWFjQpEkTmjVrlmmX3oSHsVzaMJUSt5diwyMAbhoU5EHJ7vyx/TyLlqwAwMDAgIYNG2Jtbc26devQ6TLmFLi5uREQEIDB/+9CHBsbi4uLC3FxcZiZmfHgwQNMTU1f++8ihBBCiJyRoCCbJCgQ74IdO3bQrFkzAIYPH86vv/6qlx8cHIyrq+tTry1YsCDr1q2jXLlyJCU85OLmmRTxX4QdsQAEaZ25X+lLyjToQuS9e7i4uJCamoq1tTVHjhyhdOnSQMaE4ISEBLXerVu30rx5c/W8TZs2bNq0CcgY6vSs9gghhBDi7ZN9CoR4Dz3+Qg9gZGSkl6coCgMHDnzmtckPH/DnT/1JL2dDyeSLVNFkbIx2V2NPWNnhlG36Ba7/35Owe/dudUOxfv36qQEBZA4KtmzZohcUBAUFqcfm5uY5eUwhhBBCvIMkKBDiFUlISGDTpk34+flhYmJC7dq1qVq1apZXzCldurQ6qXflypWMHz9eXYL04MGDbNu2TS3rXdWbn8YM4eG13bjGnqaUUQjgCymABsLIyx3PAZRtORAnYxO9+8TGxqrHJUqU0Mtr0KABq1atUs+fXFZ0w4YNnD9/Xm3r4w3HhBBCCPH+k6BAiFdg3rx5jB07luho/Qm7ZcqUYfny5Xh5eb2wDmdnZ5o2bcr27du5e/cuNWrUYPTo0Tg7O9O/f38A7Gwt6VmvCP1KxVHwTN+MC/+/U+F8khO77lpQt/tYPMrWoGKuXE8NSJ7cCXjv3r1069ZNPR88eLBeUPDvv/8yduxYLl26pBeUDBky5MU/ihBCCCHeGzKnAJlTIF7O9OnT+eqrr56Zb2Njw/HjxzN9lX8aHx8fvL299b7QA9SvWJg+la1pkTsQU00aAEmKEdctK5NauBEr911h9rw/9K6xt7enZ8+eDB8+XO+rfmJiIk5OTkRHR6PRaJg5cyZ9+/bF2NiYnTt30rZtW3U/g6fp2LEjf/75J1qt9oXPI4QQQoi3RyYaZ5MEBSKn7t69i5ubG2lpGS/qHTp04PPPPycyMpKZM2dy7do1AOrXr8/evXuzVOf58+fp2LEjgbdvMai5J/2KxVHY6J6af1PrRlTRDhRr2Bub3HlJS0ujUKFCBAcHP7W+AgUKcODAAb0lTKdMmcLXX3+tnltaWmJmZsa9e/f00h4+fKieOzk5MWzYMIYPH66uSCSEEEKId1d23nHf6U99kydPpmLFilhZWZEvXz5at26Nn5+fXpmkpCQGDhyInZ0dlpaWtG3bloiIiLfUYvGxWbx4sRoQDB06lNWrV9OyZUt69+7NyZMn1dV59u3bx40bN7JUZ3GPIiwd15Hgr/MzvdRNChvd45FiworIIlTblJuVSlsqd/gGm9wZX/9HjhypFxAUK1aMWrVqqUuUhoSE0LJlS7WdAKNGjWLw4MHq+cOHD/UCglq1ahESEsKFCxfYuXMnJ06cIDAwkC+//FICAiGEEOID9E73FDRu3JgOHTpQsWJF0tLSGDNmDFevXsXHx0edgNm/f3+2b9/OsmXLsLGxYdCgQWi1Wo4dO5bl+0hPgcip5s2bs337dgBu3LhB4cKF9fInTpyo7j68atUqPv/882fWlfAwlsubf6VIwFJ1KdFw8hJU/As0bjWoXKWaWrZ9+/a0aNGC69evM3nyZHXH4SZNmrB9+3Y0Gg3BwcE0adIEHx8fADZt2kTr1q317nn06FHmzp3L0aNHSUtLo2TJknzxxRe0bds2074HQgghhHi/fDBLku7atUvvfNmyZeTLl49z585Rs2ZNYmNjWbx4MatWraJu3boALF26lOLFi3Py5EmqVKnyNpotPiJPxtRP+4L+5Iv1s+LvlOQkzv/9Ix63llGFjLkEoZp8hHgOoEzz/jiYZGwQ9u2336qbl61du5a1a9fq1WNlZcWff/6pTi52cXFh2rRp6t4H69evzxQUVK9enerVq2fnkYUQQgjxAXqnhw/9r8dLKT7e5fXcuXOkpqZSv359tUyxYsVwcXHhxIkTb6WN4uNSrlw59XjRokV6eUlJSSxfvlw9L1u2bKbr7wRcIWhadarcmk0u4gjROHC69Pfk/eYqldoOx9jkvx2Dv//+e2bOnImdnd1T2zJ69OhMeZUqVVKP79+/n72HE0IIIcRH453uKXiSTqdj2LBhVKtWDU9PTwDCw8MxNjbG1tZWr6y9vT3h4eHPrCs5OZnk5GT1/H9XehEiq3r37s1PP/2ETqfj559/Jjo6ms8//5x79+4xbdo0dR5BzZo1KV68uHqdotNx5p85eF78AXNNMrFY4Ff6a8o170cBI+On3kuj0TB06FD69u3Ljh07CAwMJDAwkN9++w2AK1euZLrmyWF0sq+AEEK8fenp6eoGkkK8LCMjo1c21++9CQoGDhzI1atXOXr06EvXNXnyZCZOnPgKWiXeZ4qicPjwYTZv3kx0dDSOjo507NiRUqVKZbkOV1dXxo0bp/7f08KFC1m4cKFeGXNzc2bMmKGexz64R8CS3lR6eAg0cM3Yizxdl1GpQKEs3dPU1JQ2bdoAGQHu6tWriYqKYu3atTRt2pTOnTuj1Wq5fv06I0eOVK/r0KFDlp9LCCHEq6UoCuHh4cTExLztpogPjK2tLQ4ODlneLPVZ3umJxo8NGjSIf/75hyNHjuDu7q6mHzhwgHr16hEdHa3XW+Dq6qounfg0T+spcHZ2lonGH5HAwEA+/fRTzp07lymvZcuWLFu2jAsXLuDj44OhoSHVqlVTg4X09HR8fHyIj4/HyckJFxcXfv75Z77//nsSExP16ipUqBB//vkn3t7eAPic3EXuXQNxIIpUxYCzBftTqdNEDF5iUu/kyZMZM2aMeu7s7EyePHm4cOGCmla6dGnOnTsnKwcJIcRbEhYWRkxMDPny5cPc3PylX+CEUBSFhIQEIiMjsbW1JX/+/JnKfDD7FCiKwuDBg9m0aROHDh3SW2cdMuYY5M2bl9WrV9O2bVsA/Pz8KFasGCdOnMjyRGNZfejjcu/ePSpWrEhQUNAzy5iammbawOvxpNw1a9YQGBiopteoUYNx48ZRoUIFVq9ejZ+fHyYmJtSuXZs6tWsR7HOKaN8jmISewuvRCQw0CiGa/CS0WEjRcrVe+nl0Oh29evVi2bJlT80vXLgw+/btU5dHFUII8Walp6fj7+9Pvnz5njkvTIicun//PpGRkRQtWjTTx78PJigYMGAAq1at4p9//sHDw0NNt7GxwczMDMhYknTHjh0sW7YMa2trde3148ePZ/k+EhR8XL788kt++eUXIONL/sSJEylTpgwHDhxgzJgxeht2ZZVGo2Hx4sV079YNn5O7iPPZi3XkWQom+2KmSdEre8a2CcV7zsfSOtcreR7ICKD/+ecf5syZw+HDh0lLS6Nw4cL07t2bfv36YWNj88ruJYQQInuSkpK4ffs2bm5u6vuLEK9KYmIigYGBuLu7Y2pqqpf3wQQFz+paW7p0Kd27dwcy/oc2cuRIVq9eTXJyMo0aNWLevHk4ODhk+T4SFHw8UlNTsbe3Jzo6GmNjYwICAnB2dgYgPj4eBwcHEhISALC2tmb69OnExcXx888/ExUVpdZTv359ihcvzt69e/H19QWgXsUizGqRm5Lp1/XuGYMlgealSHKoSG7P+q+kd+B5FEUhPT1d9hkQQoh3xOOg4GkvbUK8rOf939cHs09BVuIVU1NT5s6dy9y5c99Ai8T7LjQ0lOjoaAAaNGigBgQAK1euVAMCyBiW88UXX6DT6Zg/f75eUDBjxgw8PT3R6XR8M7Q3dY3O08j6NqRHkKQYccW2DoqzN/aetXEuUpoyb3Asv0ajkYBACCGEENnyXu1TIMTLenKs3ZMBAGQecvb4xfrWrVvcvHkzU9nQ276cm/UZk3NvpJH1bdIULauiSxLX5wwVh6+j0qcjcC1WDq1M7hVCCPGRWrZsWaal498Hhw4dQqPRqKtFva/PkR0SFIiPiqOjIy4uLkDG/+DPnz+v5v3vutFVq1YFyDTHoHwxZ9zCNpNnWVUqxu5Bq1HYGleE0n+Z8dX6IPI5uSOEEEK877p3707r1q310tavX4+pqak6N+99FhgYiEajyfTXuXNnqlatSlhY2DPn5E2YMIEyZcq82Qa/ZjLGQHxUtFot/fr1Y8yYMSiKQp06dRg4cCBlypTJ1BswYMAAAAoU+L/27jy8hrt9/Pj7ZJV9sSRIIorYYgmaCFoiKlHULhXUVlpC0UdVq2iV5uHBo1Ua9EG0ttp/DYklJGqPJfYlYicR0UZEVjnz+yNfU6exhSSH5H5d17muMzOfmbnnnE+Y+8xnccLY2IiAVrUI8lBoanYNlD2ggROmHtysOYD3uvUHUIceFUIIIUqan3/+maCgIEJCQhgwYIC+wyk027dvp27duuqymZkZJiYmBeqf+qKys7MxMXn8pKXFTZ4UiFJn1KhReHl5AXkdcIKDgwkICCAmJkan3I4dO9i7K5KYX77iyueV+KXZVZqaXSNHMeSA2ducafcbaa2CGfllsLrPww7wjzpw4ACBgYHY29tjamqKm5sb3333HX/++WeRXqcQQohXk6IopGc/0MvrRceXmT59OiNGjGDlypU6CcGsWbOoV68eFhYWODs7M2zYsKeO4vfwF/ZFixbh4uKCpaUlw4YNIzc3l+nTp+Po6EiFChWYOnWqzn7POs/D5j1btmyhdu3aWFpa4u/vT0JCwjOvrWzZsjg6OqovGxubfM2HHrVkyRK++eYbjh07pj5deDgseEpKCh9++CHly5fH2tqa1q1bc+zYsXzX//PPP79yHc/lSYEodczMzNi6dSvDhw9n+fLl5ObmqtuMjY3JycmhhnN53O9H0yhyCWU0D8AQbmutWHzFkTlbLnL9VhhWVtHcu3dP3bdGjRr06dNH51zTpk1j3LhxOuvi4uIYP3488+bNY9u2bdSuXbtoL1gIIcQrJSMnlzoTt+jl3Kcn+2FuUrDbv88//5x58+YRFhaGr6+vzjYDAwN++OEHqlatysWLFxk2bBhjx45l3rx5TzxefHw84eHhREREEB8fT/fu3bl48SJubm5ER0ezd+9eBg4cSJs2bdQf8Z7nPOnp6cyYMYNffvkFAwMD+vTpw5gxY1i2bFmBrvdZAgICOHnyJBEREWzfvh1AbWbUo0cPzMzMCA8Px8bGhvnz5+Pr68v58+ext7cH4MKFC6xdu5Z169a9UpOKSlIgSiVra2uWLl3Kv//9bzZt2kRKSgqOjo541HQi8fdv8TE4gqEmDoAjmZX58Zgx6/ddJj3jNtnZefMOPJoQuLm5ER4ejrm5ubpu9erVOgmBjY0NTk5OnD59GkVRuHHjBu3atePUqVNYWFgU05ULIYQQzy88PJyNGzcSGRlJ69at820fNWqU+t7V1ZUpU6bw8ccfPzUp0Gq1LFq0CCsrK+rUqYOPjw/nzp1j8+bNGBgYULNmTaZNm8bOnTvVpOB5zpOTk0NISAjVqlUDYPjw4UyePPmZ19isWTMMDP5uPPPHH388tbyZmRmWlpYYGRnpNDHavXs3Bw8eJCkpCVNTUwBmzJjBhg0bWLNmDUOGDAHymgwtXbqU8uXLPzO24iRJgSgVFEXhzp07GBgYYGdnp86BUalSJQYPHszZg9vI3DkD9/j9uP9f0r5fW5cNt6uQmGlKi24tmLOmF3fv3mXBggWEhYWRmpqKk5MTffv25f3339eZkEZRFL777jt1eeLEiXzxxReUKVOGCxcu0L17d44dO8aVK1dYsWIFH374YbF+HkIIIfTHzNiQ05P99Hbugqhfvz7JyclMmjQJT09PLC0tdbZv376d4OBgzp49S2pqKg8ePCAzM5P09HSdH8oe5erqipWVlbrs4OCAoaGhzo25g4MDSUlJBTqPubm5mhAAVKxYUecYT7Jq1Sqdp/bOzs7s27fvmfv907Fjx0hLS8s3a3VGRoZOv8UqVaq8cgkBSFIgSri7d+8ye/ZsFi5cyI0bNwCoXr06Q4cOZdiwYdyIi+X+pvHUzzwEgFbRcNSqJTbvjKVpg+Y0/cfxLCws+Prrr/n666+fet5z584RGxsLQJMmTfjmm2/UbdWrV2fhwoV4enoCsHz5ckkKhBCiFNFoNAVuwqMvlStXZs2aNfj4+ODv7094eLh6Q3/58mU6dOjA0KFDmTp1Kvb29uzevZtBgwaRnZ39xKTA2NhYZ1mj0Tx2nVarLdB5HneM5+lD4ezsTPXq1Z/vA3mKtLQ0KlasSFRUVL5tjw5n+qq2Dng9aqQodY4ePcqqVatISkqibNmydO/eHU9PzyfOcv04CQkJ6iPJR124cIE5M4N54+Za3rM4hYFGIVsxJNa+HRXbj6Nx9XovHX9iYqL6vmXL/DMYv/nmm5iZmZGRkaFTVgghhHjVVKlShejoaDUxiIiIwMrKisOHD6PVapk5c6b6K/9vv/1W6OcvrvMUhImJiU6fRIBGjRqRmJiIkZERrq6u+gnsJUhSIF4pd+7coXfv3mzZotsBa8aMGbz11lusWrWKihUrPvM4iqLw/vvvqwmBgYEBb7/9NkaaXN6rms5gp0uU0ZwE4JCVLxW7TMXzjcLr8GtnZ6e+f/jE4FHnzp0jIyMDQO14JIQQQryqnJ2diYqKwsfHBz8/PyIiIqhevTo5OTnMmTOHjh07smfPHkJCQgr93MV1noJwdXXl0qVLxMbG4uTkhJWVFW3atMHb25vOnTszffp03NzcuHnzJps2baJLly40adJErzE/iwxJKl4ZGRkZ+Pn55UsIHvrjjz9o3bo1qampzzxWTEwMu3btAvLmGTi4bxff9W/GmrcvMMI5jjKaB+y+70Lz9WVxDPiByoWYEADUq1dPbdcYGRlJaGio+gjz7t27DB8+XC3bpUuXQj23EEIIURScnJyIiooiOTkZPz8/qlatyqxZs5g2bRru7u4sW7aM4ODgZx+ogBo0aFAs5ymIbt264e/vj4+PD+XLl2fFihVoNBo2b97M22+/zYABA3Bzc+P999/nypUrODg46DXe56FRXnTA2hIkNTUVGxsb7t69i7W1tb7DKbV+/PFHRowYAUD58uX55ptvaNGiBTExMUyaNInr168D8O233/LVV1899Vjjxo1j+rTptPOuwed+TjTVHsVEk/eY75JBFTZkN+PTqfMBmDt3rjpRWWGaN28eQUFB6nLdunV54403iI6OVhMbOzs7Lly4IE8LhBCiBMvMzOTSpUuv3Lj0omR4Wv0qyD2uNB8SheLChQvMnz+fPXv28ODBA+rUqcPgwYNp1qzZc/cDWLBggfo+LCxM7Yhbr149vL29qVu3LoqisHDhQsaPH//E496+eRk37Rkuja9CFaNEUBJBA+eN3Ljr3p9GHT6ialgYkJcUFNUkYkOHDiU2NpaFCxcCcOrUKU6dOqVut7S0ZMOGDZIQCCGEEELvJCkQL+0///kP48aNU0cJgLzmO6GhoQQEBBAaGqqO1/skubm5nDhxAsj7Rf1hQvBQ7dq1adasGXv27OHq1avcvXtX7cmflZnOhSNRpJ7ehl3iPmrknGWg+f811VHM2K3xpFa3L3Gr9/dYQg+bFgFF9khPo9Ewf/58fHx8mD17NgcPHgTyxjcODAxk7NixuLm5Fcm5hRBCCCEKQpIC8VIWLVrE2LFjn7h91apVlClThiFDhpCQkICdnR3NmjWjTJkyZGZmsnbtWvbv309ubq46dFhmZiaKouR7EvCwY64GDdfOxnA27g/Mb+ymRsYJ6mqy/y6ogZOGtfl+XwbLd56jjPkeNvjmUI28DsgbN25UJzsxNTUt0jb9Go2GXr160atXL/766y/u379P+fLln5kkCSGEEEIUJ0kKxAvLyclhwoQJ6vKYMWMYO3YslpaW/Prrr3zyySdkZmYSGhpKaGioWq5cuXL4+voSGRlJcnJyvuPGx8cTFhZGx44dAVC0WsI3rqSFi5av3/KghXUidhHd/95BA3ew4ZJVE5SqLXFq7I97lZokdepEeuZx0jOzePvtt6lRowbZ2dlcuXJF3XXw4MGUK1euCD6d/Ozs7HRGJRJCCCGEeFVIR2Oko/GL2rx5M+3btwegQ4cO/P777zrbfX192bFjxwsd28jIiPEjB/C2bQK1s09S0UC33X+aYsYF8wZkOrfAoaE/rrUaozEwQFEUMjIyMDMz4+7du7z77rtPnJXwvffeY/Xq1ZiYmLxQjEIIIcTzkI7GoihJR2OhdxcvXlTf/7MJzp49e3QSAgcHB0aOHMnRo0dZvXq1ut7d3Z2ZM2diamrKwoULWbZsGX5eNfjyrTK8bbEKHgAGkKUYcTijEkczHGkVOAa3xq1oaPJ3E5wjR47w3//+l7Vr15KRkYGlpSU9e/Zk7ty5HDp0iAULFhAbG4uhoSFeXl4MHTqUnj176kypLoQQQghRWklSIF7Yo9OXP9okB2DOnDk6y++++y5ffPEF4eHhOklBbm4u77zzDopWi032DT5zPU4Do7xj5SiGrE6uyvLY++w+cZ3uPb2YNm0amzdvZsHKvH4MTZo0ITMzk6FDh+rMLJiWlsaiRYv49ddfWb58OTExMeo8AQWZFVkIIYQQojSQpEC8MF9fX7Vz8E8//cSHH36Is7MzQL5mQ++88w4Ax44d01kfHx/HrlWzcDkfSkPtFTCCTMWYpQmubEmw583mrenUsCz/e+89du7ciZub21OHELWzs6NevXocPXqUe/fukZ2dTWBgILGxsdSuXbgTlAkhhBBClBTSdkK8sCpVqtC5c2cAbt++TZ06dRgyZAhjxozR6UBcqVIlunXrBqA213F2tGf6B024/rkDLc9Opqr2CmmKGREWnag67wEfLTyMo0sNxo0bx+DBg4mKiqJXr15PTQh8fX25ceMG0dHR3Lx5k8DAQACys7OZPXt20XwIQgghhBAlgCQF4qXMmzePatWqAXlNdhYuXMjMmTN5tP/6lClTMDExQdFqqVXRjA2feHBxiJbPqp6nvME9krBnn+tQckceZ94fKSQm3wXAy8sLgKysLHWmY4DOnTuzZcsWNm3apNMn4NixY+qypaUlISEhWFhYAPDbb78V7QchhBBCiHyWLFmiziv0OomKikKj0ZCSkgK8vtdREJIUiJfi6OjI3r17GTRo0BNHVPjuu6msnfMFl6Z48F78V3Syi8dIo2VfujMfHnbjd+fxXDKpT7eegeoIRmXLlqVHjx4AbNiwgdu3bwPQsWNH1q1bR9u2bfHy8tKZMC05OZkNGzaoy1ZWVri7uwOQkpLCgwcPiuIjEEIIIUqk/v37qy0CHlqzZg1lypRh5syZ+gmqEF2+fBmNRpPv1adPH5o1a0ZCQgI2NjaP3ffrr7+mYcOGxRtwEZM+BeKlVahQgZ9//pkZM2Zw9OhRcnJyqFKlCt27dcW3hgmj66ZQ5U7eZGHpigm/JVVhTtQtjpw9BcD/wg7pHO/hTMBmZmYAxMbGqtsGDx6sdhS2srLCxMSE7Oy/Jy47evQoAQEBANy7d49Tp/LOYWNjg5GRVHchhBDiRf38888EBQUREhLCgAED9B1Oodm+fTt169ZVl83MzDAxMcHR0bHIz52dnf3KDI0uTwpKuISEBL799ltatWqFp6cnvXr1Ytu2bTq/sBcWW1tbfHx8aNb0Tf46uIwd3dOY3eAiVYz+JFlrydfnauA8O4MBIYe5cjsDV1fXfMdwdnZm/fr1ah8E0B0tKCcnR31vYmKS7xeMh9d1//59hg4dSlpaGgA9e/YsxCsVQgghXoKiQPZ9/bxecHqq6dOnM2LECFauXKmTEMyaNYt69ephYWGBs7Mzw4YNU//vfZyHv7AvWrQIFxcXLC0tGTZsGLm5uUyfPh1HR0cqVKjA1KlTdfZ71nkeNu/ZsmULtWvXxtLSEn9/fxISEp55bWXLlsXR0VF92djY5Gs+9KglS5bwzTffcOzYMfXpwpIlS4C8lgkffvgh5cuXx9ramtatW+sMsvLw+n/++edXbt4K+em0BFu+fDmDBg0iMzNTXRcTE8PKlSvx9fVl7dq1T3ws9iIyM+5zdNW31L28lKbcByCRcuy1epffDiZy42Yizd72oXPnzvTq1QszMzOio6PZv38/Wq2WBg0a4Ofnl+8XfU9PT/X9jz/+SOfOndW+A6NHj9bpL/DTTz8RExPDkSNHSE1NBcDY2JhRo0YV2nUKIYQQLyUnHb6rpJ9zf3kTTCwKtMvnn3/OvHnzCAsLw9fXV2ebgYEBP/zwA1WrVuXixYsMGzaMsWPHMm/evCceLz4+nvDwcCIiIoiPj6d79+5cvHgRNzc3oqOj2bt3LwMHDqRNmzZq/8LnOU96ejozZszgl19+wcDAgD59+jBmzBiWLVtWoOt9loCAAE6ePElERATbt28HUO+nevTogZmZGeHh4djY2DB//nx8fX05f/489vb2AFy4cIG1a9eybt06DA0NCzW2lyFJQQm1bds2+vbt+8QnApGRkXTv3p2tW7cWyrj9x3euwX7XV3greRn5VYPKJNYbSsN3B9PVtAxdn7Bfq1ataNWq1VOP3aFDB5ycnLh+/To7d+7Ex8eHjz76CID58+frlE1LSyMqKkpdNjY2ZtmyZdSpU+dFL00IIYQotcLDw9m4cSORkZG0bt063/ZHf3RzdXVlypQpfPzxx09NCrRaLYsWLcLKyoo6derg4+PDuXPn2Lx5MwYGBtSsWZNp06axc+dONSl4nvPk5OQQEhKiDoAyfPhwJk+e/MxrbNasmc7AJX/88cdTy5uZmWFpaYmRkZFOE6Pdu3dz8OBBkpKSMDXNm2B1xowZbNiwgTVr1jBkyBAgr8nQ0qVLKV++/DNjK06SFJRQ48ePVxOCPn36MGXKFCpVqsS6desICgrizp07bN++nR07duTL+nft2sWcOXOIjo4mKyuLmjVrMmjQIPr165fvMVfitQvcXDmKRvfz/oBuY8eVxl/g0W4QLoXUht/IyIgFCxbQsWNHcnNz2bVrF7t27dIpY2BgQMuWLdm3bx+ZmZmYm5sTEBDA6NGjqVevXqHEIYQQQhQKY/O8X+z1de4CqF+/PsnJyUyaNAlPT08sLS11tm/fvp3g4GDOnj1LamoqDx48IDMzk/T0dJ1JTh/l6uqKlZWVuuzg4IChoaHOjbmDgwNJSUkFOo+5ubmaEABUrFhR5xhPsmrVKp25jJydndm3b98z9/unY8eOkZaWRtmyZXXWZ2RkEB8fry5XqVLllUsIQJKCEunUqVPExMQAeX/MoaGh6h9aQEAAWq1WHcN/8eLFalKgKAqfffZZvhEFYmJiiImJYd68eWzZsgVHR0eyszI5smoq9ePn46jJ4oFiwCHHntQNDKaJjX2hX1O7du3YtGkTH3/8MZcvX9bZ5urqyk8//YS/vz+5ublkZGRgbm6u84+LEEII8crQaArchEdfKleuzJo1a/Dx8cHf35/w8HD1hv7y5ct06NCBoUOHMnXqVOzt7dm9ezeDBg0iOzv7iUmBsbGxzrJGo3nsuoc/bj7veR53DOU5+lA4OztTvXr15/tAniItLY2KFSvqtFh46NHhTB8Ol/6qkaSgBLp48aL6/tH29w917fp3Y56oqCj69++PhYUFDx48YMGCBeo2W1tbbG1t1Zvwu7dvMOOzD+jWvBpOt6JoqtwEDZwxroNpp9k0dfcq0uvy8/PjwoULbN26lcOHDwPQuHFj2rZtq7bJMzQ0zPcrhhBCCCFeXJUqVYiOjlYTg4iICKysrDh8+DBarZaZM2eq9xpFMS9QcZ2nIExMTMjNzdVZ16hRIxITEzEyMnrsYCqvOkkKSpCsrCxu3bqlM0Tn1atX85W7cOGC+v7GjRuEhobmKzNr1izebdmIP09swfD6QVyzzlHBIBU4AIkHAPgLa+IajKXJe8MwKKaOMoaGhrRr14527doVy/mEEEIIkfdrelRUFD4+Pvj5+REREUH16tXJyclhzpw5dOzYkT179hASElLo5y6u8xSEq6srly5dIjY2FicnJ6ysrGjTpg3e3t507tyZ6dOn4+bmxs2bN9m0aRNdunShSZMmeo35WaR9RQlw8eJFPvroI8qWLZs3P0D37momvXLlSk6cOKGWffDgwVNvqMvaWvJZ98Z0SA2l5v97D+9Lc/HMiaGCQSoPFANOZFVkXeabHGwwBYNPjuDZZUSxJQRCCCGE0B8nJyeioqJITk7Gz8+PqlWrMmvWLKZNm4a7uzvLli0jODi40M/boEGDYjlPQXTr1g1/f398fHwoX748K1asQKPRsHnzZt5++20GDBiAm5sb77//PleuXMHBwUGv8T4PjfI8ja1KuNTUVGxsbLh79y7W1tb6DqdAYmJiaNu27WPH0X3I1NSUgIAAnJycWLZsGVeuXFG3jRs3joCAnmxeNofa2bG8a3sFU03ezL/ZihGnLLzIquSJYcX6tOoQSHpmFp6enowaNQorKytatmyp01lICCGEELoyMzO5dOnSKzcuvSgZnla/CnKPK82HXmP379+nU6dOakJgaWlJ69atuXHjhtrmHvKaFS1dujTf/v8aPpj3qufgsKEHX1rchv/r93Iq25HQOCs+mhqKh1veDH87duwgPTMLgIMHD6odlS0tLRk0aBDBwcHqDMRCCCGEEOL1IknBa2zFihXqTH3Nmzfn999/x87ODoCNGzeqs/0+2vvexMSIni1rMbC+AS0tfsPgWt76VMWctUkuhPyRyMFT5wHoMOIO1dwgOTmZvn37PjaGtLQ0vv/+e2JjY4mIiJBfQIQQQgghXkOSFOhRbGwsYWFhpKam4uTkREBAQIHanK1bt059/9///ldNCAA6depE165dWbduHYqiMHvaN9TWnqJJ+m7sDf7ufHzStCGZ7oG4+/bm9KRvOHhqhrpt+PDhVK9enfDwcJ1ZkX19fWnXrh1nz57ll19+ISsri+joaGbOnMn48eNf9OMQQgghhBB6In0KKP4+BdevX6dv3775xrE1Njbm448/ZubMmfnG2n0cb29v9u/fD+TN4mf0j8nCpkyZwsQJE/lX14ZMdr+GmSZvVKKEXBt+vepA7httGDfp7446cXFx1KpV64mzIAMMGTJEZxbhAwcO4O3tjaIoVK5cmcuXL+eLQwghhCjNpE+BKErSp+A1lZycTMuWLXXmEnjo4XBbt2/fZvny5Wg0mqceq2LFiur7HTt20LZtW53tx2N2s2tMXVpY5M2id8qkPjeq9qRdn1FotdeAQxw/d4WOHTty8eJF5syZoyYE1tbWpKamAn83PzIxMck3sZmXlxdt27Zly5Yt3LhxgwsXLlCrVq0Cfy5CCCGEEEJ/ZEjSYjZlyhQ1IXB2dmbOnDlERkYyduxYTExMgLxhRLdu3frMYz3s7At5TX0eDj2amZHB4m8GsqjhEVpYXCVdMWF/7S+pMy6atr1GMG7cOHW/FStWEBgYyFdffcWtW7cAqFatGnFxcVy/fp34+HgqVaoEgJWV1WNn4XN0dFTfP9rMSAghhBBCvB4kKShGmZmZLF68GIAyZcqwe/duhg8fTuvWrZk2bRoLFy5Uyz7PpBydOnWibt280YHi4uKoX78+b3l5sG+iNwOUtVhqstiX4cyy8p/TNOBzNP83d8GUKVOYOXMm9vb2+Y7ZoUMH/vjjDypUqEDlypV54403qFmzJgB37txhx44dOuXT0tIICwsD8po/vY4z+AkhhBBClHaSFBSj+Ph4tUlOhw4dcHFx4cqZwxxYNY0HOdkEBgaq7b0eHVL0SYyNjQkLC6N69epo0DD8vYaE+SfgY3GJTMWIL85UJ8zoPT4M+pfOfhqNhk8//ZTr16/z22+/MX36dObNm0dcXBy///67TrMkgIEDB6rv+/Tpw4oVK/jrr7/Yu3cv7du3586dOwB0794dW1vbl/mIhBBCCCGEHkifAj1StFpSN/wLr6yjXApezj2fyQU+hqurK2FrlpK+7hM8NHlDicZmVWZBYn0CRwynRYsWT9zXzMyMHj16PPMcPXv25PvvvycmJobExESdZksPWVlZMWHChALHL4QQQggh9E+eFBSjN954Q30SEBYWxtVrV0l/ox0pWFJVe5n6kR/w64BqvOFUjsaNGz/zeNlZmexbMg7XdR3x0JwnXTFlf41/4T45lnmLVz41ISgIY2Njddrux3FwcCAiIoLatWsXyvmEEEIIIUTxKjFJwdy5c3F1daVMmTJ4eXlx8OBBfYeUj5mZGQMGDADy+he89dbbHEq2ZH+TuWx80IxcRUNH23hODdQyuJkN6Wl3n3isc4d2cGOaJ96Xf8JUk8PxMk1I6b+Lpr0nYmRsUuixlytXjqioKCIjI+nXrx++vr506dKF//3vf1y8eJFmzZoV+jmFEEIIkefAgQMEBgZSrlw5zMzMqFOnDtOnTyclJaVIz9u/f380Gg0ff/xxvm1BQUFoNBr69+9fpDGUdBqNhg0bNug7jJIxT8GqVav44IMPCAkJwcvLi9mzZ7N69WrOnTtHhQoVnrl/cc5TcPv2bZo2bfrYIUk93Jz44T1bWljkTS52i7JcsfXCMDcDowfpGOWmY5qbjok2AydtAgYahb+wJr7ReBp3GKJ2JBZCCCHEq+Nl5ykIDg7myy+/fOw2FxcXtm3bhpub28uG+Vj9+/dnx44dpKamkpCQgJmZGZB3TRUrVsTa2hofHx+WLFlSJOd/WdnZ2erojq8qjUbD+vXr6dy58wvtX1jzFJSIu8hZs2YxePBgBgwYQJ06dQgJCcHc3JxFixbpO7R8ypcvT3R0NC1btsy37cTFRFZmtuTQm/8lgfI4cAfPlM00vreTBhkHqJt9guq58bgoNzHQKKy6U4Nx132xqukjCYEQQghRAq1atUonIbCxsdFprnv16lXeffddMjIyiiyGRo0a4ezszLp169R169atw8XFBQ8PD3WdVqslODiYqlWrYmZmRoMGDVizZo26PTc3l0GDBqnba9asyffff69zrqioKDw9PbGwsMDW1pbmzZtz5coVIC9B+eeN86hRo2jVqpW63KpVK4YPH86oUaMoV64cfn5+AJw8eZJ27dphaWmJg4MDffv2JTk5WWe/ESNGMGrUKOzs7HBwcGDhwoXcv3+fAQMGYGVlRfXq1QkPD9c5//Mc95NPPmHs2LHY29vj6OjI119/rW5/OGpjly5d0Gg06vKxY8fw8fHBysoKa2trGjduzKFDh57xTb2c1/5OMjs7m8OHD9OmTRt1nYGBAW3atGHfvn2P3ScrK4vU1FSdV3FycnIiKiqKI0eOMHnyZMaMGcPs2bO5du0aP875kSbtB2I3NpYDdSew3zWI/W5jmX3Pnz57XOgUWQnfsArUXFKG9388zIL/hdKkSZN8syMLIYQQ4vWmKApTp05VlydNmkRiYiKnT5/m7NmzuLu7A3mjG/72229FGsvAgQPVYdUBFi1apDaJfig4OJilS5cSEhLCqVOnGD16NH369CE6OhrISxqcnJxYvXo1p0+fZuLEiXz55Zdq7A8ePKBz5860bNmS48ePs2/fPoYMGfLMyVz/KTQ0FBMTE/bs2UNISAgpKSm0bt0aDw8PDh06REREBLdu3aJnz5759itXrhwHDx5kxIgRDB06lB49etCsWTOOHDlC27Zt6du3L+np6QAFOq6FhQUHDhxg+vTpTJ48mW3btgEQExMDwOLFi0lISFCXe/fujZOTEzExMRw+fJhx48ZhbGxcoM+hwJTX3I0bNxRA2bt3r876zz77TPH09HzsPpMmTVKAfK+7d+8WR8gFNm/ePJ043d3dlU6dOik2NjbqOltbWyU5OVnfoQohhBDiHzIyMpTTp08rGRkZBdrv5MmT6v/zTZs2zbd9z5496va2bdsWVrg6+vXrp3Tq1ElJSkpSTE1NlcuXLyuXL19WypQpo9y+fVvp1KmT0q9fPyUzM1MxNzfPdz82aNAgpVevXk88flBQkNKtWzdFURTlzp07CqBERUU9NZZHjRw5UmnZsqW63LJlS8XDw0OnzLfffpvv87l27ZoCKOfOnVP3a9Gihbr9wYMHioWFhdK3b191XUJCggIo+/bte+HjKoqivPnmm8rnn3+uLgPK+vXrdcpYWVkpS5Yseezn8E9Pq19379597nvcUjkk6RdffMGnn36qLqempuLs7KzHiP6m1WrZvn07//vf/zh79iwmJiZcuHBB3R4aGkrfvn3RaDSkpqbSo0cPtm7dSkpKCosXL2bMmDF6jF4IIYQQhSUhIUF9/7hmx97e3hgbG5OTk6NTtiiUL1+e9u3bs2TJEhRFoX379pQrV07dfuHCBdLT03nnnXd09svOztZpYjR37lwWLVrE1atXycjIIDs7m4YNGwJgb29P//798fPz45133qFNmzb07Nkz3/xJz/LPERyPHTvGzp07sbS0zFc2Pj5e7Y9Rv359db2hoSFly5alXr166joHBwcAkpKSXvi4ABUrVlSP8SSffvopH374Ib/88gtt2rShR48eVKtW7an7vKzXPikoV64choaG3Lp1S2f9rVu3cHR0fOw+pqammJqaFkd4BZKWlkaPHj2IiIh47PYaNWrwwQcfqMvW1tbMmTNHnXF43bp1khQIIYQQJYSdnZ36PjY2Nt/2M2fOkJOTk69sURk4cCDDhw8H8m7uH5WWlgbApk2bqFy5ss62h/dcK1euZMyYMcycORNvb2+srKz4z3/+w4EDB9Syixcv5pNPPiEiIoJVq1bx1VdfsW3bNpo2bYqBgQHKP8bHeXj9j7KwsMgXW8eOHZk2bVq+so8mHP9snqPRaHTWPWzGpNVqX/q4D4/xJF9//TWBgYFs2rSJ8PBwJk2axMqVK+nSpctT93sZr32fAhMTExo3bkxkZKS6TqvVEhkZibe3tx4jKxhFUejTp49OQmBoaKhTJi4ujhUrVuisc3Nzw9zcHIC//vqr6AMVQgghRLFo2LAhVapUAWDLli2sWLFCvSm+e/cuI0aMUMt27dq1yOPx9/cnOzubnJwctQPvQ3Xq1MHU1JSrV69SvXp1ndfD1hh79uyhWbNmDBs2DA8PD6pXr058fHy+83h4ePDFF1+wd+9e3N3dWb58OZD3tOKfT0Qelyz9U6NGjTh16hSurq75YvtnAlEQhXVcY2NjcnNz8613c3Nj9OjRbN26la5du+r06SgKr31SAHmPWBYuXEhoaChnzpxh6NCham/x10VMTAwbN24E8kYWWL58ORkZGezdu1en3IQJE3Syy0OHDqkdXp70ZEQIIYQQrx9DQ0NGjx6tLgcGBtKwYUM6d+6Mi4sLO3bsAPKa3fTr169Y4jlz5gynT5/O98OllZUVY8aMYfTo0YSGhhIfH8+RI0eYM2cOoaGhQF6Lh0OHDrFlyxbOnz/PhAkT1I61AJcuXeKLL75g3759XLlyha1btxIXF6eOttS6dWsOHTrE0qVLiYuLY9KkSZw8efKZcQcFBfHnn3/Sq1cvYmJiiI+PZ8uWLQwYMOCxN+PPq7CO6+rqSmRkJImJifz1119kZGQwfPhwoqKiuHLlCnv27CEmJqbIJ4ktEUlBQEAAM2bMYOLEiTRs2JDY2FgiIiLUtl+vg0fH950+fTq9evXC2NiYpk2b6rTFi4+PV/8RiIuLY/Dgweq2wMDAYotXCCGEEEVvxIgROpODHT9+nI0bN6ojJ1pZWbFhwwZsbW2LJR5ra+snjnf/7bffMmHCBIKDg6lduzb+/v5s2rSJqlWrAvDRRx/RtWtXAgIC8PLy4s6dOwwbNkzd39zcnLNnz9KtWzfc3NwYMmQIQUFBfPTRRwD4+fkxYcIExo4dy5tvvsm9e/d0mlU/SaVKldizZw+5ubm0bduWevXqMWrUKGxtbTF4iSHdC+u4M2fOZNu2bTg7O+Ph4YGhoSF37tzhgw8+wM3NjZ49e9KuXTu++eabF471eZSIycteVnFOXvYk7dq1U5sOJSYm6iQ0a9eupXv37uqymZkZrq6unD17Vn2MWKVKFU6dOvVSj8GEEEIIUfhedvIyRVH49ddf+f777zl8+DCQdy8QGBjI2LFji2ziMvF6KKzJy177jsYlxaM385cuXdJJCrp160bz5s3Zs2cPABkZGZw5c0bdXrlyZcLDwyUhEEIIIUogjUZD37596du3L3fu3OH+/fs4ODi8koOmiNdXiWg+VBI82mFn4sSJZGVlqcvnzp3j+PHjQN7EbPb29piamuLm5sZ3333H8ePHi7ydmRBCCCH0r2zZsri4uEhCIAqdPCl4RQQGBvLll1+SnJzMtm3bcHNzo1u3bty+fZvVq1erSUK/fv1YtGiRnqMVQgghhBAliSQFrwgLCwtWrlxJhw4dyMzM5OrVq/z3v//VKVO/fn1mzZqlpwiFEEIIIURJJc2HXiG+vr7s3r0bf39/nfXW1taMHDmSXbt2FdvoAkIIIYQoXDK2iygKhVWv5EnBK6Zx48aEh4dz7do14uLiMDU1pWHDhtKJWAghhHhNPZzRNj09HTMzMz1HI0qah/NV/XPm5IKSpOAV5ezsrM4AKIQQQojXl6GhIba2tiQlJQF54/FrNBo9RyVed4qikJ6eTlJSEra2tvkmlCsoSQqEEEIIIYqYo6MjgJoYCFFYbG1t1fr1MiQpEEIIIYQoYhqNhooVK1KhQgVycnL0HY4oIYyNjV/6CcFDkhQIIYQQQhQTQ0PDQruJE6IwyehDQgghhBBClHKSFAghhBBCCFHKSVIghBBCCCFEKSd9Cvh70ofU1FQ9RyKEEEIIIUTheHhv+zwTnElSANy7dw9A5gUQQgghhBAlzr1797CxsXlqGY0ic26j1Wq5efMmVlZWxT6ZSGpqKs7Ozly7dg1ra+tiPbd4dUg9EFIHBEg9EFIHROHWAUVRuHfvHpUqVcLA4Om9BuRJAWBgYICTk5NeY7C2tpY/fiH1QEgdEIDUAyF1QBReHXjWE4KHpKOxEEIIIYQQpZwkBUIIIYQQQpRykhTomampKZMmTcLU1FTfoQg9knogpA4IkHogpA4I/dUB6WgshBBCCCFEKSdPCoQQQgghhCjlJCkQQgghhBCilJOkQAghhBBCiFJOkgIhhBBCCCFKOUkK9Gzu3Lm4urpSpkwZvLy8OHjwoL5DEkUkODiYN998EysrKypUqEDnzp05d+6cTpnMzEyCgoIoW7YslpaWdOvWjVu3bukpYlHU/v3vf6PRaBg1apS6TupA6XDjxg369OlD2bJlMTMzo169ehw6dEjdrigKEydOpGLFipiZmdGmTRvi4uL0GLEoTLm5uUyYMIGqVatiZmZGtWrV+Pbbb3l07BepAyXPrl276NixI5UqVUKj0bBhwwad7c/znf/555/07t0ba2trbG1tGTRoEGlpaYUSnyQFerRq1So+/fRTJk2axJEjR2jQoAF+fn4kJSXpOzRRBKKjowkKCmL//v1s27aNnJwc2rZty/3799Uyo0eP5vfff2f16tVER0dz8+ZNunbtqseoRVGJiYlh/vz51K9fX2e91IGS76+//qJ58+YYGxsTHh7O6dOnmTlzJnZ2dmqZ6dOn88MPPxASEsKBAwewsLDAz8+PzMxMPUYuCsu0adP46aef+PHHHzlz5gzTpk1j+vTpzJkzRy0jdaDkuX//Pg0aNGDu3LmP3f4833nv3r05deoU27ZtIywsjF27djFkyJDCCVAReuPp6akEBQWpy7m5uUqlSpWU4OBgPUYliktSUpICKNHR0YqiKEpKSopibGysrF69Wi1z5swZBVD27dunrzBFEbh3755So0YNZdu2bUrLli2VkSNHKooidaC0+Pzzz5UWLVo8cbtWq1UcHR2V//znP+q6lJQUxdTUVFmxYkVxhCiKWPv27ZWBAwfqrOvatavSu3dvRVGkDpQGgLJ+/Xp1+Xm+89OnTyuAEhMTo5YJDw9XNBqNcuPGjZeOSZ4U6El2djaHDx+mTZs26joDAwPatGnDvn379BiZKC53794FwN7eHoDDhw+Tk5OjUydq1aqFi4uL1IkSJigoiPbt2+t81yB1oLT4f//v/9GkSRN69OhBhQoV8PDwYOHCher2S5cukZiYqFMPbGxs8PLyknpQQjRr1ozIyEjOnz8PwLFjx9i9ezft2rUDpA6URs/zne/btw9bW1uaNGmilmnTpg0GBgYcOHDgpWMweukjiBeSnJxMbm4uDg4OOusdHBw4e/asnqISxUWr1TJq1CiaN2+Ou7s7AImJiZiYmGBra6tT1sHBgcTERD1EKYrCypUrOXLkCDExMfm2SR0oHS5evMhPP/3Ep59+ypdffklMTAyffPIJJiYm9OvXT/2uH/f/g9SDkmHcuHGkpqZSq1YtDA0Nyc3NZerUqfTu3RtA6kAp9DzfeWJiIhUqVNDZbmRkhL29faHUC0kKhNCDoKAgTp48ye7du/UdiihG165dY+TIkWzbto0yZcroOxyhJ1qtliZNmvDdd98B4OHhwcmTJwkJCaFfv356jk4Uh99++41ly5axfPly6tatS2xsLKNGjaJSpUpSB4TeSPMhPSlXrhyGhob5RhW5desWjo6OeopKFIfhw4cTFhbGzp07cXJyUtc7OjqSnZ1NSkqKTnmpEyXH4cOHSUpKolGjRhgZGWFkZER0dDQ//PADRkZGODg4SB0oBSpWrEidOnV01tWuXZurV68CqN+1/P9Qcn322WeMGzeO999/n3r16tG3b19Gjx5NcHAwIHWgNHqe79zR0THfYDQPHjzgzz//LJR6IUmBnpiYmNC4cWMiIyPVdVqtlsjISLy9vfUYmSgqiqIwfPhw1q9fz44dO6hatarO9saNG2NsbKxTJ86dO8fVq1elTpQQvr6+nDhxgtjYWPXVpEkTevfurb6XOlDyNW/ePN9wxOfPn6dKlSoAVK1aFUdHR516kJqayoEDB6QelBDp6ekYGOjeghkaGqLVagGpA6XR83zn3t7epKSkcPjwYbXMjh070Gq1eHl5vXwQL91VWbywlStXKqampsqSJUuU06dPK0OGDFFsbW2VxMREfYcmisDQoUMVGxsbJSoqSklISFBf6enpapmPP/5YcXFxUXbs2KEcOnRI8fb2Vry9vfUYtShqj44+pChSB0qDgwcPKkZGRsrUqVOVuLg4ZdmyZYq5ubny66+/qmX+/e9/K7a2tsrGjRuV48ePK506dVKqVq2qZGRk6DFyUVj69eunVK5cWQkLC1MuXbqkrFu3TilXrpwyduxYtYzUgZLn3r17ytGjR5WjR48qgDJr1izl6NGjypUrVxRFeb7v3N/fX/Hw8FAOHDig7N69W6lRo4bSq1evQolPkgI9mzNnjuLi4qKYmJgonp6eyv79+/UdkigiwGNfixcvVstkZGQow4YNU+zs7BRzc3OlS5cuSkJCgv6CFkXun0mB1IHS4ffff1fc3d0VU1NTpVatWsqCBQt0tmu1WmXChAmKg4ODYmpqqvj6+irnzp3TU7SisKWmpiojR45UXFxclDJlyihvvPGGMn78eCUrK0stI3Wg5Nm5c+dj7wP69eunKMrzfed37txRevXqpVhaWirW1tbKgAEDlHv37hVKfBpFeWT6PCGEEEIIIUSpI30KhBBCCCGEKOUkKRBCCCGEEKKUk6RACCGEEEKIUk6SAiGEEEIIIUo5SQqEEEIIIYQo5SQpEEIIIYQQopSTpEAIIYQQQohSTpICIYQQhSIqKgqNRkNKSoq+QxFCCFFAMnmZEEKIF9KqVSsaNmzI7NmzAcjOzubPP//EwcEBjUaj3+CEEEIUiJG+AxBCCFEymJiY4OjoqO8whBBCvABpPiSEEKLA+vfvT3R0NN9//z0ajQaNRsOSJUt0mg8tWbIEW1tbwsLCqFmzJubm5nTv3p309HRCQ0NxdXXFzs6OTz75hNzcXPXYWVlZjBkzhsqVK2NhYYGXlxdRUVH6uVAhhCgl5EmBEEKIAvv+++85f/487u7uTJ48GYBTp07lK5eens4PP/zAypUruXfvHl27dqVLly7Y2tqyefNmLl68SLdu3WjevDkBAQEADB8+nNOnT7Ny5UoqVarE+vXr8ff358SJE9SoUaNYr1MIIUoLSQqEEEIUmI2NDSYmJpibm6tNhs6ePZuvXE5ODj/99BPVqlUDoHv37vzyyy/cunULS0tL6tSpg4+PDzt37iQgIICrV6+yePFirl69SqVKlQAYM2YMERERLF68mO+++674LlIIIUoRSQqEEEIUGXNzczUhAHBwcMDV1RVLS0uddUlJSQCcOHGC3Nxc3NzcdI6TlZVF2bJliydoIYQohSQpEEIIUWSMjY11ljUazWPXabVaANLS0jA0NOTw4cMYGhrqlHs0kRBCCFG4JCkQQgjxQkxMTHQ6CBcGDw8PcnNzSUpK4q233irUYwshhHgyGX1ICCHEC3F1deXAgQNcvnyZ5ORk9df+l+Hm5kbv3r354IMPWLduHZcuXeLgwYMEBwezadOmQohaCCHE40hSIIQQ4oWMGTMGQ0ND6tSpQ/ny5bl69WqhHHfx4sV88MEH/Otf/6JmzZp07tyZmJgYXFxcCuX4Qggh8pMZjYUQQgghhCjl5EmBEEIIIYQQpZwkBUIIIYQQQpRykhQIIYQQQghRyklSIIQQQgghRCknSYEQQgghhBClnCQFQgghhBBClHKSFAghhBBCCFHKSVIghBBCCCFEKSdJgRBCCCGEEKWcJAVCCCGEEEKUcpIUCCGEEEIIUcpJUiCEEEIIIUQp9/8Brtj4YIztpGQAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dt = 1.\n", + "R = 3.\n", + "kf = KalmanFilter(dim_x=2, dim_z=1, dim_u = 1)\n", + "kf.P *= 10\n", + "kf.R *= R\n", + "kf.Q = Q_discrete_white_noise(2, dt, 0.1)\n", + "kf.F = np.array([[1., 0], [0., 0.]])\n", + "kf.B = np.array([[dt], [ 1.]])\n", + "kf.H = np.array([[1., 0]])\n", + "print(kf.P)\n", + "\n", + "zs = [i + randn()*R for i in range(1, 100)]\n", + "xs = []\n", + "cmd_velocity = np.array([1.])\n", + "for z in zs:\n", + " kf.predict(u=cmd_velocity)\n", + " kf.update(z)\n", + " xs.append(kf.x[0])\n", + "\n", + "plt.plot(xs, label='Kalman Filter')\n", + "plot_measurements(zs)\n", + "plt.xlabel('time')\n", + "plt.legend(loc=4)\n", + "plt.ylabel('distance');" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "f20a9890", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "fusion std: 1.647\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from numpy import array, asarray\n", + "import numpy.random as random\n", + "\n", + "def fusion_test(wheel_sigma, ps_sigma, do_plot=True):\n", + " dt = 0.1\n", + " kf = KalmanFilter(dim_x=2, dim_z=2)\n", + "\n", + " kf.F = array([[1., dt], [0., 1.]])\n", + " kf.H = array([[1., 0.], [1., 0.]])\n", + " kf.x = array([[0.], [1.]])\n", + " kf.Q *= array([[(dt**3)/3, (dt**2)/2],\n", + " [(dt**2)/2, dt ]]) * 0.02\n", + " kf.P *= 100\n", + " kf.R[0, 0] = wheel_sigma**2\n", + " kf.R[1, 1] = ps_sigma**2 \n", + " s = Saver(kf)\n", + "\n", + " random.seed(1123)\n", + " for i in range(1, 100):\n", + " m0 = i + randn()*wheel_sigma\n", + " m1 = i + randn()*ps_sigma\n", + " kf.predict()\n", + " kf.update(array([[m0], [m1]]))\n", + " s.save()\n", + " s.to_array()\n", + " print(f'fusion std: {np.std(s.y[:, 0]):.3f}')\n", + " if do_plot:\n", + " ts = np.arange(0.1, 10, .1)\n", + " plot_measurements(ts, s.z[:, 0], label='Wheel')\n", + " plt.plot(ts, s.z[:, 1], ls='--', label='Pos Sensor')\n", + " plot_filter(ts, s.x[:, 0], label='Kalman filter')\n", + " plt.legend(loc=4)\n", + " plt.ylim(0, 100)\n", + " set_labels(x='time (sec)', y='meters')\n", + "\n", + "fusion_test(1.5, 3.0)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "ca6989ca", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kf_book.kf_design_internal import sensor_fusion_kf\n", + "\n", + "kf = sensor_fusion_kf()\n", + "x0, p0 = kf.x.copy(), kf.P.copy()\n", + "plot_covariance_ellipse(x0, p0, fc='y', ec=None, alpha=0.6)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "4cf523a0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from math import radians\n", + "from kf_book.kf_design_internal import sensor_fusion_kf, set_radar_pos\n", + "\n", + "# set the error of the radar's bearing and distance\n", + "kf.R[0, 0] = radians (.5)**2\n", + "kf.R[1, 1] = 3.**2\n", + "\n", + "# compute position and covariance from first radar station\n", + "set_radar_pos((50, 50))\n", + "dist = (50**2 + 50**2) ** 0.5\n", + "kf.predict()\n", + "kf.update([radians(45), dist])\n", + "\n", + "# plot the results\n", + "x1, p1 = kf.x.copy(), kf.P.copy()\n", + "\n", + "plot_covariance_ellipse(x0, p0, fc='y', ec=None, alpha=0.6)\n", + "plot_covariance_ellipse(x1, p1, fc='g', ec='k', alpha=0.6)\n", + "\n", + "plt.scatter([100], [100], c='y', label='Initial')\n", + "plt.scatter([100], [100], c='g', label='1st station')\n", + "plt.legend(scatterpoints=1, markerscale=3)\n", + "plt.plot([92, 100], [92, 100], c='g', lw=2, ls='--');" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "f8f1282c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# compute position and covariance from second radar station\n", + "set_radar_pos((150, 50))\n", + "kf.predict()\n", + "kf.update([radians(135), dist])\n", + "\n", + "plot_covariance_ellipse(x0, p0, fc='y', ec='k', alpha=0.6)\n", + "plot_covariance_ellipse(x1, p1, fc='g', ec='k', alpha=0.6)\n", + "plot_covariance_ellipse(kf.x, kf.P, fc='b', ec='k', alpha=0.6)\n", + "\n", + "plt.scatter([100], [100], c='y', label='Initial')\n", + "plt.scatter([100], [100], c='g', label='1st station')\n", + "plt.scatter([100], [100], c='b', label='2nd station')\n", + "plt.legend(scatterpoints=1, markerscale=3)\n", + "plt.plot([92, 100], [92, 100], c='g', lw=2, ls='--')\n", + "plt.plot([108, 100], [92, 100], c='b', lw=2, ls='--');" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "798f94d0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "(5.0, 0.02)" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.seed(124)\n", + "R = 5.\n", + "xs, zs = simulate_acc_system(R=R, Q=Q, count=30)\n", + "\n", + "kf0 = SecondOrderKF(R, Q, dt=1)\n", + "kf1 = SecondOrderKF(R, Q, dt=1)\n", + "kf2 = SecondOrderKF(R, Q, dt=1)\n", + "\n", + "# Filter measurements\n", + "fxs0, ps0, _, _ = kf0.batch_filter(zs)\n", + "\n", + "# filter twice more, using the state as the input\n", + "fxs1, ps1, _, _ = kf1.batch_filter(fxs0[:, 0])\n", + "fxs2, _, _, _ = kf2.batch_filter(fxs1[:, 0])\n", + "\n", + "plot_kf_output(xs, fxs0, zs, 'KF', False)\n", + "plot_kf_output(xs, fxs1, zs, '1 iteration', False)\n", + "plot_kf_output(xs, fxs2, zs, '2 iterations', False)\n", + "R,Q" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "dc46c281", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_kf_output(xs, fxs0, zs, title='KF', aspect_equal=False)\n", + "plot_kf_output(xs, fxs1, fxs0[:, 0], '1 iteration', False)\n", + "plot_kf_output(xs, fxs2, fxs1[:, 0], '2 iterations', False)" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "f061adf2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1. 1.]\n", + "[2. 0.92]\n", + "[2.96 1. ]\n", + "[4.12 0.97]\n", + "[5.03 0.96]\n" + ] + } + ], + "source": [ + "kf = KalmanFilter(dim_x=2, dim_z=1)\n", + "kf.x = array([0., 1.])\n", + "kf.H = array([[1, 0]])\n", + "kf.P = np.eye(2) * 50\n", + "kf.R = np.eye(1)\n", + "q_var = 0.02\n", + "\n", + "# measurement tuple: (value, time)\n", + "zs = [(1., 1.), (2., 1.1), (3., 0.9), (4.1, 1.23), (5.01, 0.97)]\n", + "for z, dt in zs:\n", + " kf.F = array([[1, dt],\n", + " [0, 1]])\n", + " kf.Q = Q_discrete_white_noise(dim=2, dt=dt, var=q_var)\n", + " kf.predict()\n", + " kf.update(z)\n", + " print(kf.x)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "eef4837c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def gen_sensor_data(t, ps_std, wheel_std):\n", + " # generate simulated sensor data\n", + " pos_data, vel_data = [], []\n", + " dt = 0.\n", + " for i in range(t*3):\n", + " dt += 1/3.\n", + " t_i = dt + randn() * .01 # time jitter\n", + " pos_data.append([t_i, t_i + randn()*ps_std])\n", + "\n", + " dt = 0. \n", + " for i in range(t*7):\n", + " dt += 1/7.\n", + " t_i = dt + randn() * .006 # time jitter\n", + " vel_data.append([t_i, 1. + randn()*wheel_std])\n", + " return pos_data, vel_data\n", + "\n", + "\n", + "def plot_fusion(xs, ts, zs_ps, zs_wheel):\n", + " xs = np.array(xs)\n", + " plt.subplot(211)\n", + " plt.plot(zs_ps[:, 0], zs_ps[:, 1], ls='--', label='Pos Sensor')\n", + " plot_filter(xs=ts, ys=xs[:, 0], label='Kalman filter')\n", + " set_labels(title='Position', y='meters',)\n", + "\n", + " plt.subplot(212)\n", + " plot_measurements(zs_wheel[:, 0], zs_wheel[:, 1], label='Wheel')\n", + " plot_filter(xs=ts, ys=xs[:, 1], label='Kalman filter')\n", + " set_labels('Velocity', 'time (sec)', 'meters/sec')\n", + " \n", + "\n", + "def fusion_test(pos_data, vel_data, wheel_std, ps_std):\n", + " kf = KalmanFilter(dim_x=2, dim_z=1)\n", + " kf.F = array([[1., 1.], [0., 1.]])\n", + " kf.H = array([[1., 0.], [1., 0.]])\n", + " kf.x = array([[0.], [1.]])\n", + " kf.P *= 100\n", + "\n", + " xs, ts = [], []\n", + " \n", + " # copy data for plotting\n", + " zs_wheel = np.array(vel_data)\n", + " zs_ps = np.array(pos_data)\n", + " \n", + " last_t = 0\n", + " while len(pos_data) > 0 and len(vel_data) > 0:\n", + " if pos_data[0][0] < vel_data[0][0]:\n", + " t, z = pos_data.pop(0)\n", + " dt = t - last_t\n", + " last_t = t\n", + " \n", + " kf.H = np.array([[1., 0.]])\n", + " kf.R[0,0] = ps_std**2\n", + " else:\n", + " t, z = vel_data.pop(0)\n", + " dt = t - last_t\n", + " last_t = t\n", + " \n", + " kf.H = np.array([[0., 1.]])\n", + " kf.R[0,0] = wheel_std**2\n", + "\n", + " kf.F[0,1] = dt\n", + " kf.Q = Q_discrete_white_noise(2, dt=dt, var=.02)\n", + " kf.predict()\n", + " kf.update(np.array([z]))\n", + "\n", + " xs.append(kf.x.T[0])\n", + " ts.append(t)\n", + " plot_fusion(xs, ts, zs_ps, zs_wheel)\n", + "\n", + "random.seed(1123)\n", + "pos_data, vel_data = gen_sensor_data(25, 1.5, 3.0)\n", + "fusion_test(pos_data, vel_data, 1.5, 3.0);" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "6039f6ee", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from math import radians, sin, cos\n", + "import math\n", + "\n", + "def rk4(y, x, dx, f):\n", + " \"\"\"computes 4th order Runge-Kutta for dy/dx.\n", + " y is the initial value for y\n", + " x is the initial value for x\n", + " dx is the difference in x (e.g. the time step)\n", + " f is a callable function (y, x) that you supply to \n", + " compute dy/dx for the specified values.\n", + " \"\"\"\n", + " \n", + " k1 = dx * f(y, x)\n", + " k2 = dx * f(y + 0.5*k1, x + 0.5*dx)\n", + " k3 = dx * f(y + 0.5*k2, x + 0.5*dx)\n", + " k4 = dx * f(y + k3, x + dx)\n", + " \n", + " return y + (k1 + 2*k2 + 2*k3 + k4) / 6.\n", + "\n", + "def fx(x,t):\n", + " return fx.vel\n", + " \n", + "def fy(y,t):\n", + " return fy.vel - 9.8*t\n", + "\n", + "\n", + "class BallTrajectory2D(object):\n", + " def __init__(self, x0, y0, velocity, \n", + " theta_deg=0., \n", + " g=9.8, \n", + " noise=[0.0, 0.0]):\n", + " self.x = x0\n", + " self.y = y0\n", + " self.t = 0 \n", + " theta = math.radians(theta_deg)\n", + " fx.vel = math.cos(theta) * velocity\n", + " fy.vel = math.sin(theta) * velocity \n", + " self.g = g\n", + " self.noise = noise\n", + " \n", + " \n", + " def step(self, dt):\n", + " self.x = rk4(self.x, self.t, dt, fx)\n", + " self.y = rk4(self.y, self.t, dt, fy)\n", + " self.t += dt \n", + " return (self.x + randn()*self.noise[0], \n", + " self.y + randn()*self.noise[1])\n", + " \n", + "def test_ball_vacuum(noise):\n", + " y = 15\n", + " x = 0\n", + " ball = BallTrajectory2D(x0=x, y0=y, \n", + " theta_deg=60., velocity=100., \n", + " noise=noise)\n", + " t = 0\n", + " dt = 0.25\n", + " while y >= 0:\n", + " x, y = ball.step(dt)\n", + " t += dt\n", + " if y >= 0:\n", + " plt.scatter(x, y, color='r', marker='.', s=75, alpha=0.5)\n", + " \n", + " plt.axis('equal');\n", + " \n", + "#test_ball_vacuum([0, 0]) # plot ideal ball position\n", + "test_ball_vacuum([1, 1]) # plot with noise " + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "0368ff25", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from math import sin, cos, radians\n", + "\n", + "def ball_kf(x, y, omega, v0, dt, r=0.5, q=0.):\n", + " kf = KalmanFilter(dim_x=4, dim_z=2, dim_u=1)\n", + "\n", + " kf.F = np.array([[1., dt, 0., 0.], # x = x0 + dx*dt\n", + " [0., 1., 0., 0.], # dx = dx0\n", + " [0., 0., 1., dt], # y = y0 + dy*dt\n", + " [0., 0., 0., 1.]]) # dy = dy0\n", + "\n", + " kf.H = np.array([[1., 0., 0., 0.],\n", + " [0., 0., 1., 0.]])\n", + " \n", + " kf.B = np.array([[0., 0., 0., dt]]).T\n", + " kf.R *= r\n", + " kf.Q *= q\n", + "\n", + " omega = radians(omega)\n", + " vx = cos(omega) * v0\n", + " vy = sin(omega) * v0\n", + " kf.x = np.array([[x, vx, y, vy]]).T\n", + " return kf\n", + "\n", + "def track_ball_vacuum(dt):\n", + " global kf\n", + " x, y = 0., 1.\n", + " theta = 35. # launch angle\n", + " v0 = 80.\n", + " g = np.array([[-9.8]]) # gravitational constant\n", + " ball = BallTrajectory2D(x0=x, y0=y, theta_deg=theta, velocity=v0, \n", + " noise=[.2, .2])\n", + " kf = ball_kf(x, y, theta, v0, dt)\n", + "\n", + " t = 0\n", + " xs, ys = [], []\n", + " while kf.x[2] > 0:\n", + " t += dt\n", + " x, y = ball.step(dt)\n", + " z = np.array([[x, y]]).T\n", + "\n", + " kf.update(z)\n", + " xs.append(kf.x[0])\n", + " ys.append(kf.x[2]) \n", + " kf.predict(u=g) \n", + " p1 = plt.scatter(x, y, color='r', marker='.', s=75, alpha=0.5)\n", + " p2, = plt.plot(xs, ys, lw=2)\n", + " plt.legend([p2, p1], ['Kalman filter', 'Measurements'],\n", + " scatterpoints=1)\n", + " \n", + "track_ball_vacuum(dt=1./10)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "f45b33a1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from math import sqrt, exp\n", + "\n", + "def mph_to_mps(x):\n", + " return x * .447\n", + "\n", + "def drag_force(velocity):\n", + " \"\"\" Returns the force on a baseball due to air drag at\n", + " the specified velocity. Units are SI\"\"\"\n", + "\n", + " return velocity * (0.0039 + 0.0058 / \n", + " (1. + exp((velocity-35.)/5.)))\n", + "\n", + "v = mph_to_mps(110.)\n", + "x, y = 0., 1.\n", + "dt = .1\n", + "theta = radians(35)\n", + "\n", + "def solve(x, y, vel, v_wind, launch_angle):\n", + " xs = []\n", + " ys = []\n", + " v_x = vel*cos(launch_angle)\n", + " v_y = vel*sin(launch_angle)\n", + " while y >= 0:\n", + " # Euler equations for x and y\n", + " x += v_x*dt\n", + " y += v_y*dt\n", + "\n", + " # force due to air drag \n", + " velocity = sqrt((v_x-v_wind)**2 + v_y**2) \n", + " F = drag_force(velocity)\n", + "\n", + " # euler's equations for vx and vy\n", + " v_x = v_x - F*(v_x-v_wind)*dt\n", + " v_y = v_y - 9.8*dt - F*v_y*dt\n", + " \n", + " xs.append(x)\n", + " ys.append(y)\n", + " \n", + " return xs, ys\n", + " \n", + "x, y = solve(x=0, y=1, vel=v, v_wind=0, launch_angle=theta)\n", + "p1 = plt.scatter(x, y, color='blue', label='no wind')\n", + "\n", + "wind = mph_to_mps(10)\n", + "x, y = solve(x=0, y=1, vel=v, v_wind=wind, launch_angle=theta)\n", + "p2 = plt.scatter(x, y, color='green', marker=\"v\", \n", + " label='10mph wind')\n", + "plt.legend(scatterpoints=1);" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "7489da3d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "class BaseballPath:\n", + " def __init__(self, x0, y0, launch_angle_deg, velocity_ms, \n", + " noise=(1.0, 1.0)): \n", + " \"\"\" Create 2D baseball path object \n", + " (x = distance from start point in ground plane, \n", + " y=height above ground)\n", + " \n", + " x0,y0 initial position\n", + " launch_angle_deg angle ball is travelling respective to \n", + " ground plane\n", + " velocity_ms speeed of ball in meters/second\n", + " noise amount of noise to add to each position\n", + " in (x, y)\n", + " \"\"\"\n", + " \n", + " omega = radians(launch_angle_deg)\n", + " self.v_x = velocity_ms * cos(omega)\n", + " self.v_y = velocity_ms * sin(omega)\n", + "\n", + " self.x = x0\n", + " self.y = y0\n", + " self.noise = noise\n", + "\n", + "\n", + " def drag_force(self, velocity):\n", + " \"\"\" Returns the force on a baseball due to air drag at\n", + " the specified velocity. Units are SI\n", + " \"\"\"\n", + " B_m = 0.0039 + 0.0058 / (1. + exp((velocity-35.)/5.))\n", + " return B_m * velocity\n", + "\n", + "\n", + " def update(self, dt, vel_wind=0.):\n", + " \"\"\" compute the ball position based on the specified time \n", + " step and wind velocity. Returns (x, y) position tuple.\n", + " \"\"\"\n", + "\n", + " # Euler equations for x and y\n", + " self.x += self.v_x*dt\n", + " self.y += self.v_y*dt\n", + "\n", + " # force due to air drag\n", + " v_x_wind = self.v_x - vel_wind\n", + " v = sqrt(v_x_wind**2 + self.v_y**2)\n", + " F = self.drag_force(v)\n", + "\n", + " # Euler's equations for velocity\n", + " self.v_x = self.v_x - F*v_x_wind*dt\n", + " self.v_y = self.v_y - 9.81*dt - F*self.v_y*dt\n", + "\n", + " return (self.x + randn()*self.noise[0], \n", + " self.y + randn()*self.noise[1])\n", + " \n", + "x, y = 0, 1.\n", + "\n", + "theta = 35. # launch angle\n", + "v0 = 50.\n", + "dt = 1/10. # time step\n", + "g = np.array([[-9.8]])\n", + "\n", + "plt.figure()\n", + "ball = BaseballPath(x0=x, y0=y, launch_angle_deg=theta,\n", + " velocity_ms=v0, noise=[.3,.3])\n", + "f1 = ball_kf(x, y, theta, v0, dt, r=1.)\n", + "f2 = ball_kf(x, y, theta, v0, dt, r=10.)\n", + "t = 0\n", + "xs, ys = [], []\n", + "xs2, ys2 = [], []\n", + "\n", + "while f1.x[2] > 0:\n", + " t += dt\n", + " x, y = ball.update(dt)\n", + " z = np.array([[x, y]]).T\n", + "\n", + " f1.update(z)\n", + " f2.update(z)\n", + " xs.append(f1.x[0])\n", + " ys.append(f1.x[2])\n", + " xs2.append(f2.x[0])\n", + " ys2.append(f2.x[2]) \n", + " f1.predict(u=g) \n", + " f2.predict(u=g)\n", + " \n", + " p1 = plt.scatter(x, y, color='r', marker='.', s=75, alpha=0.5)\n", + "\n", + "p2, = plt.plot(xs, ys, lw=2)\n", + "p3, = plt.plot(xs2, ys2, lw=4)\n", + "plt.legend([p1, p2, p3], \n", + " ['Measurements', 'Filter(R=0.5)', 'Filter(R=10)'],\n", + " loc='best', scatterpoints=1);" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "41a687f0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_ball_with_q(q, r=1., noise=0.3):\n", + " x, y = 0., 1.\n", + " theta = 35. # launch angle\n", + " v0 = 50.\n", + " dt = 1/10. # time step\n", + " g = np.array([[-9.8]])\n", + "\n", + " ball = BaseballPath(x0=x, \n", + " y0=y, \n", + " launch_angle_deg=theta, \n", + " velocity_ms=v0, \n", + " noise=[noise,noise])\n", + " f1 = ball_kf(x, y, theta, v0, dt, r=r, q=q)\n", + " t = 0\n", + " xs, ys = [], []\n", + "\n", + " while f1.x[2] > 0:\n", + " t += dt\n", + " x, y = ball.update(dt)\n", + " z = np.array([[x, y]]).T\n", + "\n", + " f1.update(z)\n", + " xs.append(f1.x[0])\n", + " ys.append(f1.x[2]) \n", + " f1.predict(u=g) \n", + "\n", + " p1 = plt.scatter(x, y, c='r', marker='.', s=75, alpha=0.5)\n", + "\n", + " p2, = plt.plot(xs, ys, lw=2, color='b')\n", + " plt.legend([p1, p2], ['Measurements', 'Kalman filter'])\n", + " plt.show()\n", + "\n", + "plot_ball_with_q(0.01)\n", + "plot_ball_with_q(0.1)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "6637f96a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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JPXHOyABOnjQl43/+KVtiYs5HuZp9jY9nKlpXPod25Y6gje8elPpiDFCAVbRzo9cD48cDgwYBn34KfP01kJ4u7d5HjQJmzpT7e/cG3N2L9FLkIL7//nsMHjwYc+fORa9evdQOxyLOnz+PAQMGoFy5csZzBVmhvrDS09Ph4eFh9dfJr0KvJEpERE4iMlKy4MREwM9PbhctkvOWlJEBRERINpq9RUTI+RySkiRRrVIFWLhQknNAbv/+G9ixA1iwABg3DujeHfjf/yR39vYGatcGOnQAhg2TEetGjeR8nTpAjx6SBO/YcW9yLqo9cg3vPrEeW3sswM33puCXV37Dm4GbUcrf1aIrmZYuDXz+OXDmDNCrF+Dy31/qmBhgwACgZk1g6VIZ5be0zEzg+HFg/nz5oNC0KfDGGzLxlbRlypQpGDp0KJYuXWqWnM+YMQO1a9dGiRIlEBQUhEGDBiEpKSnP55kwYQKefPJJzJs3D+XLl4e3tzcGDRqEzMxMTJkyBQEBAShTpgwmTZpk9nUPe50FCxbA19cXGzZsQI0aNeDt7Y3WrVsjJiYm1zguXboEnU6HW7duoXfv3tDpdFiwYAG2bdsGnU6Xa0nLggUL8NFHH+HIkSPQ6XTGrwGAuLg49O3bF6VLl4aPjw+ef/55HDly5L5/9/fff6/JUieOoBMRkdG1a8Dq1bJfowZQvUIKSm3cBJ1eD5QvL3f4+Mhqnps2yUi6pcpdsj8I6PXyQSAuTo4BoH17ZGbK4YcfSrKazddXwoiOlrKUnHXcOSUnS/J5/PjDQylXDnjqKaBePdNtUNR+CcBFD9zxtfpKphUqAPPmASNGAGPGACtXyvlz56Tby9ix8iGldGm5OpDzNud+iRK5P7+iAOfPAwcOmLbDh+X/Kac//gCWL5fPS6NHAxrLY5zSyJEj8fXXX2PNmjVo0aKF2X0uLi6YNWsWKlWqhAsXLmDQoEF4//338fXXX+f5fOfPn0dkZCTWr1+P8+fP45VXXsGFCxdQtWpVbN++HX/88Qd69+6NkJAQ4xo3+Xmd5ORkTJs2DT/++CNcXFzQvXt3jBgxAosXL74vhqCgIMTExKBatWqYOHEiunTpAoPBgH379uUZd5cuXXD8+HGsX78emzZtAgBjKcyrr74KLy8vREZGwmAw4JtvvkGLFi1w5swZ+Pn5AZB1epYvX44VK1bA1dU1z9dRAxN0IiInpygyajxnDrBiBXD3bs57veDnOQnV/W6guv+/qFH6JqqXuonqxTxQ8d9zcIuPt0xympIiCX8eHwQ2u7bEux94IscAGNzcgMGDJVEtWdJ0PiFB2h5euHD/dvHivf8+SXJzJuL16klie5+y6qxkWrOmvC/79kmSvG2bnD93TraHKV78/uT96lXg4EGp3c+P9HRp/7h4MTB7NtCqVaH/OZrVoAEQG2v71w0IkPcivyIjI7F69Wps3rwZzz///H33h4WFGfcrVqyITz75BAMGDHhggp6VlYV58+ZBr9ejZs2aaN68OU6fPo1169bBxcUF1apVw2effYatW7caE/T8vM7du3cxd+5c42KVQ4YMwcSJE3ONwdXVFQEBAdDpdDAYDPkqa/Hy8oK3tzfc3NzMHr9r1y7s378f169fN65WP23aNKxatQq//fabceX79PR0LFq0CKVz/YFXFxN0IiInFR8P/PijJOYnTuT9uNtp3vgjxht/xFQyO+/hkoEqh1xQoyZQvbppq1ZNykYKHEx8vIyc53AqqyreW9Eaa2aZz/7s2FG6nlStev9T+fgAdevKdq/MTElOL1wAXF2ltCXfDcNUXsm0cWNgyxZg40ZgwgRJ2PNT5pKcDFy+LNvDVKgANGxo2mrUAL78Epg6VT7YnD8PtG4NdOkiE1oDA4v8z9KM2FiZ16B1derUwc2bNzF+/Hg0atQI3vf8sG3atAnh4eE4deoUEhISkJGRgdTUVCQnJ6N4HrOMK1asCL1ebzz29/eHq6srXFxczM5dv369QK9TvHhxs5Xky5Yta/Yc1nLkyBEkJSWhZM5P7gBSUlJw/vx543GFChU0mZwDTNCJiJzOn39KUr548f3lDKVKySTEChVk4uSpU8CpqBT8ffP+RDQ9yw1/nQD+yiW5DwyURL1qVdmy9ytWzGOCo8EgW1wc4OODm8nF8dG25zDnYANkKqZLz089BUyfDjRrVrh/u6srEBQkW6GpuJKpTge0bClbVpaMgF+/moEba/bh+s7TuHHbFddRBjdKVsf14hVw46YLrl8HbtyQ0p+cjZX9/SUJb9DAlJDnlqtMmgR06yb17zt3yrlffpGKpEmTgIED5f/V3tlgHqJFXvfRRx/Fb7/9hubNm6N169aIjIw0JteXLl1Cu3btMHDgQEyaNAl+fn7YtWsX+vTpg/T09DwTdPd7fih1Ol2u57L++0SY39fJ7Tls0d07KSkJZcuWxbbsy005+Pr6GvdL5FX/pQFM0ImInEBKCrBsmSTmuZV0Pv20JFqdO+fSqjDDHYnL1+HMqr9w6h8fnEytiFPutXEqvizOntUhPf3+57t6VbatW83Pu7lJR5X7k3cvBLQIQfqCJfjyWA18cuwlxKeZkuBHH5XOJt27myZNOjsXFyntKflHJGocXgQE6IHqvqba+NBQGfH/T2amVOZcvy5XDcqVy387yJo1ge3bZVLuiBHArVtSSjR0KPDddzLh9vXX77sAYlcKUmaitgoVKmD79u3GJH39+vXQ6/U4dOgQsrKyMH36dOPo97Jlyyz++rZ6nfzw8PBAZmam2bmnnnoKsbGxcHNzQ8WKFVWJq6iYoBMRObCzZ6WP9oIFkpzl5O0NvPmmJOa1az/gSdzcoO/yIuq/1Bz17yntyMiQRXZOnZLt5Enp+HHmjIza3isjQ+47c+b++7y928HLtSVuxJs+IRT3zMCo0Tq8+54re4Dn5iG1+zkn8bq6mmrQC0OnA3r2lJx/5Ejghx/k/NGjMhdg2DC5LzRUyvLZCtK6goKCsG3bNjRv3hytWrXC+vXrUblyZdy9exdffvkl2rdvj927d2Pu3LkWf21bvU5+VKxYERcvXkRUVBTKlSsHvV6PkJAQBAcHo2PHjpgyZQqqVq2Kq1evYu3atejUqRMaNGigSqwFwXEIIiIHk5EhkwpfeEFGqGfMME/O69SRkfSrV6XX9gOT85y8vOR6fI7yDjc3oHJloF07GVn94Qdg1y4Zpb19G9i719R55dVXpS48r+qQpCSdMTnX6RT0Ds3A2QtuGDueyXmesmv3c1y2ByDH2fdZWMmSwPffy/ucM89JT5duLx06yBWPsDApp9LWeuWOpVy5cti2bRtu3ryJVq1aoVKlSpgxYwY+++wz1KpVC4sXL0Z4eLjFX7du3bo2eZ386Ny5M1q3bo3mzZujdOnS+Pnnn6HT6bBu3To8++yz6NWrF6pWrYrXX38dly9fhr+/vypxFpROsUUxUAHkdwlUIiIy988/Um7w3XeSfOfk4QG89pqMlgcHF26lS0vJypJYz5wxjbZn38bEAM8+KytoPvmkejHajZQUae2SmGgaQQdkBF2vl/9IK9fLHz0qpS+LF0ubznvVri095rt1U6/O+14PWoqdqKge9P2V3zyXCToRkYqysqS29+xZOc656E7O2wfdpyjSem/1aqkzzumxx2RyX69eMgFU67JXBKUCiIgw9Y/39c2zBt3aMjKADRskWV+9GvfNTXB1lfaMoaEyyq5mXswEnazJEgk6a9CJiFQQFyeJzOzZpuTcUlxcJC8bOFDKXOxpUiWT80Joo05/9nu5uQFt28r2778yKXnhQmDPHrk/MxNYt042f3+50mPDzw9EdoUj6ERENnTsmCTlP/0E3Llj2ecOCAD69gX69StiG0GyTykpqvRnf5gzZ2SA/8cfpfImp/79pW2mrbvdcQSdrIklLkREduDuXbnk/9VXUs5yr+efB155xXTJP3sUOedo8r3n7r0tWRJo0YKdM0i7ssu5pk2TUfRsVatK/botG2swQSdrYokLEZGGXbsml/Hnzr1/hUJvb5k4N2iQ9JgmcnQuLkDz5rLI1PffS5eX5GQZYQ8OltVRR41yjEWPiIrKjioTiYi0T1GktWD37lJmMnaseXJerZosnf7PPzKizuScnI1OB7z1lrRgbNhQzmVkAGPGAM89B1y8aLtYNFZEQA4ie8XVouAIOhGRBaSkyPLnX30FHDpkfl/2pM0hQ6QMhRMhiaS0ZfduYOJEWSU2K0uO69aVeRrdu1vvZ8Xd3R06nQ43btxA6dKloeMPJVmAoihIT0/HjRs34OLiAg8Pj0I/F2vQiYiK4OJF4Jtv5JL9rVvm95UsKZM2BwwA7HS1aSKb2L1bEvJLl0znuneXEjFrlYgnJSXh77//5ig6WVzx4sVRtmzZXBN0ThIlIrICRZGFWVatkomff/55/2OeegoYOhTo0kVTzTSINC0hQX5uFi0ynWvaFFi5Eihd2jqvmZmZibt371rnyckpubq6ws3NLc+rMkzQiYgsJCNDljXPTspzjvJlc3eXhHzwYKBxY5axEBXWL78AvXvLBFJAFttauxaoXl3duIgsgV1ciIiK4M4dWRVx9WpgzRpZ/yU39esDnTtLQuHvb9sYiWzOBr3Wu3QBKleWeRsxMcCFC9LlZflyaUlK5AyYoBMR/ef6dVk1ffVqYONGIDX1/se4uUmruA4dgJde4oJA5CQyMoDISFmtNDtBDwmR1UrdLJ9K1K8P7N8PtGsHHDkiK++2agV8+y3Qq5fFX45Ic5igE5FTO3fOVLqye7fUmN9Lr5c8pGNHufX1tXGQ5Dg0utrnQ0VGSnG4Xg/4+UnGnF0s3r69VV6yXDlg506ga1cpccnIkCtVZ88Cn3wi3ZGIHBUTdCJyOjduALNmAStWACdO5P6YsmVllLxDBxkx9/S0bYzkYGw8Am1RKSkSt14PlC8v53x8gOhoOR8SYrUPG3q9fIAePlzWDwCA8HD5YL1woX19xiEqCI3/ViAishxFkSXFw8Lub4kIyKJBHTrISHmDBhyhIwtSYQTaYuLjZfPzMz/v6yuTM+LjrZopu7nJB+oqVeRnNysL+PVX+XywejXnfpBj4p8fInIKly/LYOWbb5qSc51O2rhNmQKcPg389ZcsmNKokQWT85QUIDZWbsk53TsC7eMjt3q9nNf694bBIFtcnPn5uDjTfTYwdCjw+++At7cc79snixotXZp7aRqRPWOCTkQOLTMTmDkTeOIJ6cqSrUsX4MoVaZ/43nuyqqFFZWTIjNNRo0xbRIScJ+eSPQJ97+QFX1/TfVrm5SVlLImJMmydkCC3iYlWLW/JTdu28jNbrpwcX7smNeqtW0vZC5GjKFCCPmfOHNSpUwc+Pj7w8fFBcHAwIiMjjfenpqZi8ODBKFmyJLy9vdG5c2dcu3bN4kETEeXH8eMyQh4WJm0TAeDRR+Wy+NKlsm812SUNiYlSGpCYKMc5fmeSk9DICHSRtGkDhIbKqP/t23IbGirnbaxuXenw0rGj6dz//R9Qq5ZMHk1Ls3lIRBZXoIWKIiIi4OrqiipVqkBRFCxcuBBTp07Fn3/+iSeeeAIDBw7E2rVrsWDBAhgMBgwZMgQuLi7YvXt3vgPiQkVEVFRpacCkSTKZLOeA9cCBwOTJUmFgVSkpMmKemGiaVAfIqKNeL0FwdptziYgw1aD7+kpynpgoSa7Wa9Bz0lgXmt9/B4YMkath2apXB+bMAZo1Uy0sojzZbCVRPz8/TJ06Fa+88gpKly6NJUuW4JVXXgEAnDp1CjVq1MCePXvQpEkTiwZORJSb3buBvn2BU6dM56pVA77/Hnj6aRsFERsrCbqfn/mngYQEGX2cPBkICLBRMKQJanVx0VhCbQ1JScBHHwGffy4lbdl69ACmTgVKl1YvNqJ7WX0l0czMTPz666+4c+cOgoODcejQIdy9exchISHGx1SvXh3ly5d/YIKelpaGtBzXoxISEgobEhE5sYQEYPRo4OuvTefc3CRP/vBDoFgxGwaTs6Qh5y9geyppIMtyc5OR8pAQ2yTM9tzWsYC8vSUR794dGDAA2LtXzi9cKBcupkyRxY3YlYnsSYG/XY8dOwZvb294enpiwIABWLlyJWrWrInY2Fh4eHjA955JMP7+/oiNjc3z+cLDw2EwGIxbEJflI6ICWrNGJoHmTM4bNQIOHwY+/tjGyTmgqUl1dsUZOt54ecnVE2t/DzjhHIi6deUK2ty5pvm4t2/LFbXnnpMuTUT2osAJerVq1RAVFYV9+/Zh4MCB6NGjB07ktdJHPowePRrx8fHG7UrOQjIiogeIjpYODu3bA3//LeeKF5dL3X/8AdSurWJwGppUp3nseGNZ9t7WsQhcXID+/aXE7Y03TOd37QKefFKusiUnqxYeUb4V+DqXh4cHKleuDACoX78+Dhw4gJkzZ6JLly5IT09HXFyc2Sj6tWvXEPCAWktPT094cok+IsqnzEwZBPzmG2DdOlm0JNsLL8j5SpXUi8/I1iUN9syeF/HRIpUXFtICf39ZlKxXL5kcfu6cfN6bPFk6OP3wA/D882pHSZS3IldkZWVlIS0tDfXr14e7uzs2b95svO/06dOIjo5GcHBwUV+GiJzc1avSQu2xxyRnW7PGlJz7+Um96YYNGknOc7JVSYO9cuLRXqtxhLaOFhISAhw7BowbB3h4yLlLl4AWLaRendPeSKsKlKCPHj0aO3bswKVLl3Ds2DGMHj0a27ZtQ7du3WAwGNCnTx8MHz4cW7duxaFDh9CrVy8EBwfnu4MLEVFOWVnS37hzZ8nZxo6VspZs5cpJ94ZTp6R6RKdTL1YqJHtfxEeLOAfCTLFi8nvi6FHg2WdN57/5Rsrg/u//1IuNKC8FKnG5fv06QkNDERMTA4PBgDp16mDDhg144YUXAACff/45XFxc0LlzZ6SlpaFVq1b4OuesLSKifLh+HZg/H/j2W+DCBfP7dDrgxRelztQBG1I4H3a8sY7suQ6bNklZi8EAdOrk1HMgqlUDtm6VHukjR8riZdHRQKtWMpF02jR+u5F2FLkPuqWxDzqRc1IUYPt26cCwYgVw9675/QEB8ke0b1+gQgV1YiQrcZRFfLTI3vqg2yjeixfld8mWLaZz5crJoIATf4YhG7DZQkWWxgSdyLncvi314998A5w+ff/9L7wgtaLt2wPu7raPj2zAiXp2Ux5U+B5QFEnIR4yQxY6y9ewJzJgBPPKIVV6WnBwTdCISGh1Bu3RJJm4tWwbkWKsMAFC6tIJevXR46y3gv6ZR5Aw0+r1KNqDiVZTLl4G33gI2bjSdK1tWOr1wNJ0szeoriRKRxml4VPLKFeDpp4F//jE/3+zRs+j/+CZ0qnUWnk83Byq2AX9NOREvLybmzujeTj6AzEeIjpbzVp7YWqGCdICaNw8YPlzm1MbEAO3aATt3Av/7n9VemihPXPiWyFFpdCXBf/+VzwjZyfkjjwDDOpzHyZbvYGvLcLxe/yw8U+I0ESsR2YAGOvnodECfPrLaaOvWci4rC3jzTfPyFyJbYYJO5Ig02ls6NRXo2NG05HblysCpP1Mwo8IsVH80UVOxEjm1lBQgNtY2P38a6tterpxU22SPml+4ALz7rs1ensiICTqRI9LAiNS9skejduyQ49KlgfXrgTKe2ouVyGllZEiGOmqUaYuIkPPWorG+7W5ucgGvRAk5/vZbWRiNyJaYoBM5Ig2NSAHSLWH4cOC33+S4RAlg3Trg8ce1FytRkdly9NnS1CqNa9NGJoTq9dLaSa+XY5VmaT7+OPD556bjPn2AGzdUCYWcFGdfETmi7BGpRYtkJCpnV4ROnWw+IjVjBjBzpuy7ugK//go0aKDNWIkKTcMTs/NFzcmabm7SrSUkRDOdfPr2BX7/XUbPr18H+vWTNRq4YjHZAkfQiRyVRkakfv5Z+gxny3UhEI3Emm/2PEJK1qPRidn5poXSOC8vWZVMAx/MdTrg+++BUqXkeNUqWbOByBbs4CM9ERWKBkaktmwBevQwHU+cCPTuncsDNRBrvtj7CClZj8qtAi0iZ7lZzv7MTlxu5u8PfPedXMwDgLffBp57DqhUSd24yPFxBJ3I0ak0InXkiPxRu3tXjvv1A8aMecgXaWj0LFf2PkJK1qOF0eei0thkzXyz8hWtjh2BXr1kPzFRBh0yM63yUkRGTNCJyOKio4EXX5S/74AMjs+ebee1mxptXak5zlr+4yiTne2p3MyGHWe++AKoWFH2d+6UeTVE1sRrskRkUbdvy0IfV6/KcePGwNKlDlABkj0K6udnft7XV/7R8fHaHWG0BWcv/3GUyc72Um4GmK5o6fXycxkXJ8eA/BssyMdHnvq556Qr1YcfAi1bAnXrWvRliIw4gk5EFpOaCnToAJw8KcdVqkgHhOLF1Y3LIhxlhNRaWP5jX6PPD6P1cjMVrmg98wzw3nuyf/eurOuQlmbxlyECwBF0IrKQzEyge3dg1y459veXhYiyOyDYPUcZIbUGR5ggaQn2NPps71S6ojVxovxeO3oUOHZMWjEuXAi4cLiTLIzfUkRUZIoChIUBy5fLcYkSwNq1wGOPqRqW5TnSCKklOcIESUvS+uizI1DpipanJ/DTT3ILyP6QIfI7kMiSOIJOREWSnCytx374QY7d3GTF0Pr11Y3LKhx5hDQlpfD/JrbnI1tT8YpW7doyr+aVV+TK4Zw58ll98mQ7nwhPmsIEnYgK7fhxoEsX4MQJ07nvv5dJog7Ny8txEnNLTO5k+Q+pIfvK1aZNckXLYJDvNxtc0erYEViwQC6gKQowZYq8/AcfWP2lyUkwQSeiAlMUScTfflsmhgIyEXTuXJk4RXbEUp0wVEyWyEnZ8opWLleYuncH7twBBgyQh3z4ofwYDR1qnRDIuTBBJ6ICiY8H+vcHfvnFdK5OHTmuXl29uBxCUcpMCvt6lprc6cjlP6Rt1ryi9ZArTP37y4Wi7O4ub78NeHubFjYiKiwm6ESUbwcOAK+/Dly4YDo3cCAwfTpzsSJRq4e4NTphOFL5D1E+rjCNGCGLsn38sZzu21eS9FdfVSdkcgzs4kJED5WVJSvnNW1qSs4NBpkM+vXXzMeKTK0e4uztTpS3AvRa/+gj4J13ZD8rC+jWDVi3TqW4ySEwQSeiB7p5UwaK3n1XFucAgCaNshAVBXTurGpojkGFBVeMsid3JiZKWUtCgtwmJjpP73KivBSgfahOJ4MYvXvL8d278vtx+3abRUsOhgk6EeVp+3ZZyjrnSNDIWmuxo+G7qHgsQkozqGjU7iHO3u5EuSvgFSYXF+Dbb4HXXpPj1FSgXTtg/36bREsOhjXoRHSfzEzgk09k1bysLDlX2jMePz73PVo98Q8QF1+4Th90P7V7iHNyJ1HuCtE+1NUV+PFH6e6ydi2QlAS0bQvs2+eAC7eRVXEEncgZpKQAsbH5Kpe4elX+Jk2YYErOny93Bkc6TkCr4ETblmA4A62UmXD1S6L7FeIKk4cH8OuvQLNmcnzzJvDii/LlRPnFEXQiR1bA7iDr1gE9esgfFEAu2X40IhGjY8LhWuoR8wcXpdMHmWMPcSJtKuQVJi8vYOVK4H//A06eBE6fBl5+GdiwAfD0tEHcZPeYoBM5snwuQpOeLivgTZ9u+tJy5YAlS4BnGrgBo3y4jLs1scyESNsK0T7U11cGPRo3Bq5flzk9b70FLFwok0qJHqRAJS7h4eFo2LAh9Ho9ypQpg44dO+L06dNmj2nWrBl0Op3ZNiB7mS0isp18dge5cAF4+mnz5Lx9eyAqCnjmGWinBMMZsMyEyKFUrAhERJh+pH/8UVoyEj1MgRL07du3Y/Dgwdi7dy82btyIu3fvomXLlrhz547Z49566y3ExMQYtylTplg0aCLKh3x0B1m2DKhXTxYgAgB3d+CLL4DVq4GSJXN8ja06fRSgVp6IyB40agQsXmwaNf/oI9OFTKK8FKjEZf369WbHCxYsQJkyZXDo0CE8++yzxvPFixdHQECAZSIkosJ5QHcQxceAsZ+XxKQcn50rVwaWLgXq18/luaxdgqHWSppERDbQqRMwbZqsJwHIaqPly5smkhLdq0hdXOL/68/rd88y0YsXL0apUqVQq1YtjB49GsnJyXk+R1paGhISEsw2IrKAPEpT0uJS8ObR9zBpirvxoW+8ARw6lEdyfu9zWqMEQ62VNInI8Wj0StywYcCgQbJ/964k7SdPqhsTaVehh6aysrIQFhaGpk2bolatWsbzb7zxBipUqIDAwEAcPXoUI0eOxOnTp7FixYpcnyc8PBwfsSCLyDru6Q7yr2cAXj43AtuOlQJgWv3unXdUnLR0b608ICP+0dFynnXuRJQfOa/E3boFFCsGtG4NdOyoiStxOh0wcyZw6ZJMHo2Lkx7pe/cCZcqoHR1pjU5RFKUwXzhw4EBERkZi165dKFeuXJ6P27JlC1q0aIFz587h8ccfv+/+tLQ0pKWlGY8TEhIQFBSE+Ph4+OS8LE9EhZeSgkvHk/BiaEmcPCUXzry8pEtLx47qhobYWGDUKBk5z/kzn5Ag9e6TJ8uoPRHRg0REAAsWSJncrVuyShAAvP46MH68JpJ0QMJ65hmZiA9IjfqWLUCJEqqGRTaSkJAAg8Hw0Dy3UCUuQ4YMwZo1a7B169YHJucA0LhxYwDAuXPncr3f09MTPj4+ZhsRWdbBv7zQpH1pY3JeujSwdasGknOgwMtpExHdJ/tKXHw8EBMj50rJlUIsXSoz3zXC2xtYswZ49FE53r8feOUVKXshylagBF1RFAwZMgQrV67Eli1bUKlSpYd+TdR/HxHLli1bqACJqGjWrAGeew64dk2Oq1YF9uyR3ryawDaORFRU2aPmt27JUp4Gg6wIVKoUoCjA+vWaqkl/9FEpc8kef1i/HujVy7R6M1GBEvTBgwfjp59+wpIlS6DX6xEbG4vY2Fik/PdNf/78eXz88cc4dOgQLl26hN9//x2hoaF49tlnUadOHav8A4gob19/DXToAGTP0376aeCPP4Bcqs3UZas2jkTkmAwGqTlPSpLbbKmp8vskNVWSeA2pUwf4/XfTyqKLFwMjRsjnCaIC1aDr8phFNn/+fPTs2RNXrlxB9+7dcfz4cdy5cwdBQUHo1KkTxowZk+/SlfzW5hBR3rKygJEjpa1Xti5dpDwz598uzUlJ4UqaRFQ4v/0GjB4t+6VKSVKelgYEBgJPPCHzWTT4e2X1auDll02j55Mny+9vckz5zXMLPUnUWpigExVNaqoMPv/6q+ncyJHAp58CLkVqrEpEpGEZGbIK0NKlMgyt18uKa76+QI8espaDRn3/PfDWW6bjefOk5IUcT37zXG1MaSYii7h5U0pa/vhDjl1cpMylf3914yIisjo3N+nW8uSTUtSdmirdobIXPdOwvn2B69eBDz+U47fekosAGv5MQVbGEXQiB3HuHPDii8DZs3JcogSwbJmcIyJyKnZYLqcoQFgYMGuWHBcrBmzcKHOHyHFYtc0iEWnLnj1AcLApOQ8IAHbsYHJORE7KUqse23BVUp0O+PxzoGtXOU5NlRH0Y8es/tKkQSxxIbJzy5cD3bvLL3NA5kKtW2dalJOIiAoo56qk2SPx2aUyVlzwyMVFJvPfvg1s2CDLQbRuLWWLFSpY7WVJgziCTmSnFEVGW1591ZScN28O7NrF5JyIqEgiI4FFi2Q9Bj8/uV20SM5bmYeHNKRp1EiOr14FWrQwXSEl58AEncgOZWYC77wDDB9u6pn75psyL8rXV9XQiIgKx4blJA+NY9Mm6QJTvjzg4yO3er2ct0F83t7A2rVAtWpyfP68LC63ZYvVX5o0giUuRHbmzh3gjTdkgYts48YBEyZIDSMRkV1RqZwkT/Hxsvn5mZ/39ZXak/h4m0w8LVVKJom++CJw/Djw779Aq1bAV1+xM5cz4Ag62QetjKyo7OpVKWPJTs7d3KRf7kcfMTknIjulYjlJrgwG2eLizM/HxZnus5GgIGD3bqBtWznOyAAGDJArqBkZNguDVMAEnbQtIwOIiABGjTJtERFO+Ztp9WpZGvrAATn28ZG/X1zMgojslgbKSe7j5SUj+ImJQHQ0kJAgt4mJct7GbRt9fOT3/4gRpnOzZgHt2slgPjkmJuikbVobWVFBSgoweDDQsSNw65acCwqSyaAhIaqGRkRUNNnlJPdOnvH1Nd2nhjZtZElmvV7KWvR6OVZpwSNXV2DqVOCHHwB3dzm3YYO01z1/XpWQyMpYg07ade/ICiBDCdHRcl6FkQxbO3ZMeuL+9ZfpXMeOsix0yZKqhUVEZBk5y0lyLtqiQjmJGTc3aUIeEqKpBY969wYqVwZeflkGbE6elG4vy5cDzZqpHR1ZEkfQSbu0OrJiA4oiE4EaNjQl515ewNy5wIoVTM6JyEForJwk1/gsseCRBT37LLB/P1Czphzfvi290qOiVA2LLIwJOmmXhibq2NLNm0CHDsDQoUBampyrUwc4eFBm7nMyKBE5FI2Vk9iDxx6TxYuy/4vS0swXrCP7p1OU7C7K2pCQkACDwYD4+Hj45LzcRc4pIkJqzvV6GTmPi5ORldBQufzoYDZtkn9aTIzp3DvvAJMnA8WKqRcXEZHVpaRoqpzEHqSnS4nLkSNy/O67wLRp6sZED5bfPJcj6KRtTjKykp4OjBwJtGxpSs5Ll5aFKr74gsk5ETkBDZaTaJ2HB/DTT3ILADNmAFu3qhsTWQZH0Mk+OPDIytmzsvDQwYOmcy1bAgsXyt8qIiKiB5kxQ0bPAenydeyYw1aB2j2OoJNjccCRFUWRJLxePVNy7u4OTJ8uXSSZnBMRUX6EhZm6uFy5Arz9tprRkCUwQSdSQXy8jJr37AncuSPnqlYF9u4Fhg8HXPiTSURE+eTiAixYYOpUuWgR8NtvqoZERcQ0gMjG9uwBnnwSWLrUdK5PH+DQIeCpp1QLi4iI7FiFCsCXX5qO+/c3bzhA9oUJOpGNZGYCH38MPPMMcOmSnDMYgF9+kYWHvL1VDY+IiOzcm28CnTvL/u3bMvijrZmGlF9M0Ils4J9/gObNgXHjJFEHgKZNpTXWa6+pGxsRETkGnU4WtMuewxQZCXzzjboxUeEwQSeysl27gPr1gZ075djFBZgwAdi2TS5JEhERWUqpUsC8eabjd9+VbmFkX5igE1mJogCzZ8vI+bVrcq58eWDHDmD8eMDNTd34iIjIMbVpAwwYIPvJyVL6kpGhbkxUMEzQiawgNRXo3RsYMsT0S7FFC5kI2rSpurEREZHjmzYNqFxZ9vftA8LD1Y2HCoYJOpGFRUfLRNAFC0zn3nsPWL9eLj0SERFZW4kSwI8/mtr2TpxoviAeaRsTdCIL2rpV6s2zfwkWLy7tFKdMYUkLERHZVpMmwIcfyn5GhpS6pKSoGxPlDxN0IgtQFOCLL4AXXgBu3pRzjz0mPc+7dFE1NCIicmJjx8rAEQCcOgWMGqVuPJQ/TNCJiig5GejeHRg2zNRCsVUr4MABoE4ddWMjIiLn5u4upS7FisnxrFkyH4q0jQk6URFcvCiTPpcsMZ374ANg7VrAz0+9uIiIiLLVqAF88onp+Lvv1IuF8qdACXp4eDgaNmwIvV6PMmXKoGPHjjh9+rTZY1JTUzF48GCULFkS3t7e6Ny5M65l95gjciAbNwINGgBRUXLs7Q0sXw5MmgS4uqoaGhERkZl+/WTiKAD8/LNc/SXtKlCCvn37dgwePBh79+7Fxo0bcffuXbRs2RJ37twxPmbYsGGIiIjAr7/+iu3bt+Pq1at4+eWXLR44kVoURSZ9tm4tSykDQJUq0saqQN/qKSlAbCxn7BARkdXp9cCrr8p+QgKwcqW68dCD6RRFUQr7xTdu3ECZMmWwfft2PPvss4iPj0fp0qWxZMkSvPLKKwCAU6dOoUaNGtizZw+aNGly33OkpaUhLS3NeJyQkICgoCDEx8fDx8ensKERWUVSEtCnD7Bsmelcu3ZS3+frm88nyciQ9Zc3bQLi4wGDAQgJkZUl2OqFiIisZOdO4NlnZb9FC/kzRLaVkJAAg8Hw0Dy3SDXo8fHxAAC//4ptDx06hLt37yIkJMT4mOrVq6N8+fLYs2dPrs8RHh4Og8Fg3IKCgooSEpHVnDsHBAebJ+fjxwOrVxcgOQckOV+0CEhMlEL1xEQ5joy0dMhERERGTz9tWrxo82bg0iVVw6EHKHSCnpWVhbCwMDRt2hS1atUCAMTGxsLDwwO+92Qr/v7+iI2NzfV5Ro8ejfj4eON25cqVwoZEZDWRkUDDhsDx43Ks10tiPmGCaRGIfElJkSELvR4oXx7w8ZFbvV7Os9yFiIisRKcDevUyHedcUI+0pdAJ+uDBg3H8+HEsXbq0SAF4enrCx8fHbCPSirQ0YMQI4MUXgbg4OVe9urRQfOmlQjxhfLxs9w65+/qa7iMiIrKS0FDTwNKCBUBWlqrhUB4KlaAPGTIEa9aswdatW1GuXDnj+YCAAKSnpyMuO5P5z7Vr1xAQEFCkQIls7dgxGTWfPt10rmNHmQxarVohn9RgkO2enxHExZnuIyIispJy5YCWLWX/8mVZAZu0p0AJuqIoGDJkCFauXIktW7agUqVKZvfXr18f7u7u2Lx5s/Hc6dOnER0djeDgYMtETGRlWVnA559Lcn7smJzz8JBEfflyqUopNC8vmRCamAhER8tU+uhoOQ4JkfuJiIisqHdv0/78+erFQXkrUBeXQYMGYcmSJVi9ejWq5RhCNBgM8PovsRg4cCDWrVuHBQsWwMfHB0OHDgUA/PHHH/l6jfzObiWyhr//Bnr2lMkz2WrXBn76yYKrgrKLCxERqSgtDQgMlFbBxYoBMTEFbHZAhZbfPLdACbpOp8v1/Pz589GzZ08AslDRu+++i59//hlpaWlo1aoVvv7663yXuDBBJ7UsWwYMGAD8+6/p3PDhsvBQ9hLJFpWSYkrQOXJOREQ29PbbwJdfyv6cOfL3j6zPKgm6LTBBJ1uLjweGDpVe5tkefRRYuFD6xBIRETmaqCigXj3Zb9RI5leR9dmkDzqRVdlgpc2dO4G6dc2T89deA44eZXJORESO68knTQn6/v2mNsKkDSx4Je2xQY12err0MJ88Gci+huTjA8yeDXTrJr1iiYiIHFmvXsCff8r+nDnyN5C0gSPopD1WXmnz5ElZETQ83JScP/MMcOQI0L07k3MiInIOb7xhmmM1dy6wd6+68ZAJE3TSFiuutKkoMjrw1FPA4cNyzt1dEvWtW4GKFS3zTyAiIrIHJUsC48fLflaWdDHjgtbawASdtMVKK23GxgJt2wJDhgCpqXKuenUZLRg1CnB1LVLUREREdmnECJkkCgCnTwNjx6obDwkm6KQtVlhpc9Uq6WWes0JmyBDg0CEZTSciInJWbm6yWJGHhxzPmAHkc+kasiIm6KQtFlxpMykJeOstoFMn4OZNORcQAKxbJ71fixe30r+BiIjIjtSsCXz8sewripS6JCerGpLTY4JO2tOmDRAaKnXnt2/LbWionM+nvXulhdT335vOdewIHDtWoKchIiJyCu++CzRuLPtnzwJjxqgbj7PjQkWkXYVYaVNRZBRg4kQgM1POlSgBzJol7aTy1aGFK3wSEZETOnVKBrfS0uTv5Y4dwNNPqx2VY8lvnss+6KRdXl4FTpBnzTLNSAeAJk2An34CHn88H19sg/7rREREWlW9OvDJJ8B778mAV69e0oKYJaG2xxIXchh//QWMHGk6/ugjWSk0X8k5YPX+60RERFo3bJisFQIA584BH3ygbjzOigk6OYT0dFlkKC1NjsPCgHHjCjDwbcX+60RERPbC1VW6umQvYDRrlgx2kW0xQSeHMGECEBUl+zVrAp9+WsAnsFL/dSIisnMpKbKYhhMN1FSrBkyaJPvZpS537qgbk7Nhgk52b9cu4LPPZN/dXWrOCzy30wr914mIyI5lZAAREbKaXfYWESHnncA77wBNm8r++fPA6NHqxuNsmKCTXUtIkA6MWVlyPHEiUK9eIZ7Igv3XiYjIATj5vCRXV2DePFOpy5dfAtu3qxuTM2GCTnZt2DDg4kXZb9pUZp4XmgX6rxMRkQPgvCQAQNWqQHi46bh3b1kEkKyPvePIbq1aJZ/uAcDbWwY2XF2L8IRubkD79jJizj7oRETOK3vukZ+f+XlfXxnAiY93mr8Pb78NLF8u5aQXLkilz1dfqR2V4+MIOtml2FjgrbdMxzNnAo89ZqEn9/ICAgKc5pcvERHdg/OSjFxcpKtL9p/E2bNNTRnIepigk91RFKBvX+DmTTnu2FFmmBMREVmEluclqdBVpnJlWaU727RpNntpp6VTFEVRO4ic8rsEKjmvb78F+veX/TJlgOPHgdKl1Y2JiIgcjNZWl1Y5nuRkKcO/dUvKSS9ckGMqmPzmuaxBJ7ty9qxMDM02b54Nk/OUFNamExE5C63NS8ruKqPXS218XJwcAxKnlRUvDgweLN3SMjOBL74AZsyw+ss6LY6gk93IyACefhrYt0+O+/cH5s610QtraRSFiIicS0qKzM5MTDQfto6OloR98mSbfHi4cUNePjVVmjNcuXL/+n70YPnNc1mDTnYjPNyUnFeubMMaOCfvhUtERCrTyGrXpUsDPXvKflKSjQbJnBQTdLILBw4AH30k+66uwI8/yqd3q2MvXCIiUpuGusoMHw7odLI/cyaQlmazl3YqTNBJ85KTge7dpeYNAD78EGjSxEYvrpFRCyIicmIa6ipTpQrQqZPsx8YCixfb7KWdChN00rz33wfOnJH9Bg2AMWNyeZC12k5paNSCiIicmIZWu865ave0aUBWls1DcHicJEqatn696XePlxfw559AtWo5HmCLCZwREaaZ876+kpwnJsovRhvMnCciIjLSSEexZ56R1UUB+TPZrp1qodgVThIlu3frlvkCRNOm3ZOcA7aZwKmhUQsiInJyGlntOuco+tSp6sXhqAqcoO/YsQPt27dHYGAgdDodVq1aZXZ/z549odPpzLbWrVtbKl5yEooibRRjY+W4VStg4MB7HmSrCZzZvXAnTzZt7duzxSIRETmtdu2A6tVlf8cOYP9+deNxNAVO0O/cuYO6deti9uzZeT6mdevWiImJMW4///xzkYIk5/Pjj8Dy5bLv5ycLEmXPGjey9QROjYxaEBERqc3FBXj3XdMxR9Etq8BDgG3atEGbh1za9/T0REBAQKGDIud26RIwZIjp+NtvgcDAXB6YcwJnzjouTuAkIiKyuu7dpXHDtWvAihXA+fPA44+rHZVjsEoN+rZt21CmTBlUq1YNAwcOxK1bt/J8bFpaGhISEsw2cl6ZmUCPHlJKDkipd+fOeTxYQ22niIiInE2xYsDbb8t+VhYwY4a68TgSiyforVu3xqJFi7B582Z89tln2L59O9q0aYPM7CbW9wgPD4fBYDBuQUFBlg6J7Mjnn0stGwBUqADMmvWQL+AETiIiovyxQkvigQOBEiVkf/584OZNiz21UytSm0WdToeVK1eiY8eOeT7mwoULePzxx7Fp0ya0aNHivvvT0tKQlmMZqoSEBAQFBbHNohM6ehRo2BBIT5d6861bgeeey+cXa6TtFBERkeZYuSVxWJisKgoAEyYA48cX+SkdlmbaLD722GMoVaoUzp07l+v9np6e8PHxMdvI+aSmSi1berocjxhRgOQc4AROIiKivFi5JfGwYYCrq+zPnMlFti3B6gn633//jVu3bqFs2bLWfimyY2PHAseOyX6dOsDHH6sbDxERkUOwQUviChWAbt1k/99/gS++KPJTOr0CJ+hJSUmIiopCVFQUAODixYuIiopCdHQ0kpKS8N5772Hv3r24dOkSNm/ejA4dOqBy5cpo1aqVpWMnB/Htt8D06bLv4QH89BPg6aluTERERA7BRi2Jx40zjaLPmCHTwqjwCpygHzx4EPXq1UO9evUAAMOHD0e9evUwbtw4uLq64ujRo3jppZdQtWpV9OnTB/Xr18fOnTvhyYyLcjF9uixIlD0T4tNPgdq11Y2JiIjIYeRsSZyThVsSP/64afXvhATTwBsVTpEmiVpDfovnyb4pikwkmTjRdO6994DPPstlQSIiIiIqvIgIqTnX62XkPC5O6tBDQ2VlbAu5fBmoUgW4e1c6u1y8CJQubbGndwiamSRKdC9FAYYPN0/OP/mEyTkREZFV2KglcYUKQL9+sn/nDjBlikWf3qlwBJ1sKjNTfnjnzTOdmznTtNABERERWYkNWhJfvSrlLqmp8hIXLkiTNRIcQSfNSU8HunY1JecuLrLP5JyIiMgGbNCSODBQFi8C5PNAeLjVXsqhMUEnm0hJATp2BH79VY7d3YFffjFNKCEiIiLHMGoUULy47M+dC/z9t7rx2CMm6GR1CQlS5pa9HkKxYsDq1cArr6gbFxEREVlemTLA0KGyn54OTJqkbjz2iAk6WdWtW7Ka8PbtcqzXAxs2WHxeChEREWnIe+/J33wA+OEH4NIlVcOxO0zQyWpiYoBmzYADB+TYzw/YsgV49llVwyIiInIOKSlAbKxFVgstqJIlgbAw2b97lyuEFxS7uJBVXL4sI+fnzslxQACwcSNQq5a6cRERETm8jAypK920ydS1JSRELl+7udksjLg4oFIluXV1BU6elD7pzoxdXEg1p08DTz9tSs4rVAB27mRyTkREZBORkbIwUWKiXL5OTJTj7MlgNuLrC4wYIfuZmcBHH9n05e0aE3SyqCNHgGeeMc3YrlYN2LULqFxZ3biIiIicQkqKjJzr9UD58oCPj9zq9XLexuUub78t5S4AsGQJcOKETV/ebjFBJ4vZs0dqzm/ckOMnnwR27ADKlVMzKiIiIicSHy+br6/5eV9f0302pNcDI0fKvqKYL1RIeWOC7ghUnASSbfNm4IUXpM4MAIKDga1bpdUSERERWdCD/u4bDLJl/0HOFhdnus/G+vQBdDrZ37zZ5i9vl2w3U4AsTyOTQH7/HXj1Vel1CgAtWgCrVgHe3jYLgYiIyPHl5+++l5ecW7QIiI6WkfO4OKlD79TJqquI5sXPD6hXDzh8GIiKkivtpUvbPAy7whF0e6aBSSBLlgAvv2xKzjt0ANasYXJORERkcfn9u9+mDRAaKvUlt2/LbWioqouQtGhh2t+6VbUw7AZH0O3VvZNAAJkIEh0t50NCrP4p+dtvgQEDpKYMALp1A+bPB9zdrfqyREREzqcgf/fd3ID27eVc9ki7CiPnObVoAUydKvubNwOvvaZqOJrHEXR7pfIkkGnTgP79Tcn5gAHyIZ7JORERkRUU5u++l5csRKJycg5I++XsHIF16A/HBN1eqTQJRFGAceNkCd9s778PfP014MLvJiIiIuvQ4OTPgihRQhpIAMD587KgIeWNKZW9yp4Ekpgol7cSEuQ2MdFq5S1ZWcCwYebL9U6aBEyebJqdTURERFagwt99S8tZh85R9Adjgm7PbDgJJDMTeOstYOZM07lZs4APPmByTkREZBManPxZEEzQ80+nKNlVxNqQkJAAg8GA+Ph4+Pj4qB2OfUhJseokEEWRn/+ffpJjFxfghx+Anj0t/lJERET0MFb+u28td+9K85mkJCmNv3rV+Qb58pvncgTdEVh5Ekh4uCk5d3cHfvmFyTkREZFqNDT5syDc3YFnn5X92FjgxAl149EyJuj0QBERwJgxsq/TSXL+yivqxkRERET2iWUu+cMEnfJ04oT0Ns8ugvr4Y1mEjIiIiKgwmKDnDxN0ytW//8qqoImJcvzqqzIhlIiIiKiwatcGSpWS/W3bgIwMVcPRLCbodJ+MDKBLF+DcOTl+8klZIdTZJnIQERGRZbm4AM8/L/sJCcChQ+rGo1VM0Ok+778PbNwo+6VLA6tWyQIDREREREXFMpeHY4JOZhYuBD7/XPbd3IDly4EKFdSNiYiIiBwHE/SHY4JORvv2Af37m46/+gp45hn14iEiIiLH89hjpsG/3bulrTuZK3CCvmPHDrRv3x6BgYHQ6XRYtWqV2f2KomDcuHEoW7YsvLy8EBISgrNnz1oqXrKSq1elQ0tamhwPGGCerBMRERFZgk4HhITIfloa8Mcf6sajRQVO0O/cuYO6deti9uzZud4/ZcoUzJo1C3PnzsW+fftQokQJtGrVCqmpqUUOlqwjNVWS85gYOX72WWDmTHVjIiIiIsfFMpcHcyvoF7Rp0wZt2rTJ9T5FUfDFF19gzJgx6NChAwBg0aJF8Pf3x6pVq/D6668XLVqyOEWRkfL9++W4fHngt98ADw914yIiIiLHld3JBWCCnhuL1qBfvHgRsbGxCMm+bgHAYDCgcePG2LNnT65fk5aWhoSEBLONbOfzz4FFi2S/eHFg9Wrp3EJERERkLf7+QK1asn/wIBAXp2o4mmPRBD02NhYA4O/vb3be39/feN+9wsPDYTAYjFtQUJAlQ6IH+L//A957z3S8YIH0PCciIiIHlpICxMaqPjszu8wlK4uj6PdSvYvL6NGjER8fb9yuXLmidkhO4exZWYwoK0uOx4yR1UKJiIjIQWVkABERwKhRpi0iQrXlPHNWTH/3nSohaJZFE/SAgAAAwLVr18zOX7t2zXjfvTw9PeHj42O2kXUlJAAdOpguJ730EvDRR6qGRERERNYWGSl1rYmJgJ+f3C5aJOdVEBICVKok+xs2mFYwJwsn6JUqVUJAQAA257hOkZCQgH379iE4ONiSL0WFlJkJdOsGnDwpxzVrAj/+KEvvEhERkYNKSQE2bQL0eukI4eMjt3q9nFeh3MXVVdo6Z5s71+YhaFaB07KkpCRERUUhKioKgEwMjYqKQnR0NHQ6HcLCwvDJJ5/g999/x7FjxxAaGorAwEB07NjRwqFTYYwbB6xZI/uPPAL8/rv8jBIREZEDi4+XzdfX/Lyvr+k+FfTuDXh6yv68eUBysiphaE6BE/SDBw+iXr16qFevHgBg+PDhqFevHsaNGwcAeP/99zF06FD069cPDRs2RFJSEtavX49ixYpZNnIqsF9+AT79VPZdXOT48cfVjYmIiIhswGCQ7d52KXFxpvtUUKqUzIkDgH//ldyEAJ2iKIraQeSUkJAAg8GA+Ph41qNb0OHDwNNPm65gff45EBamakhERERkSxERUnOu18vIeVyc1KGHhgLt26sW1r59QJMmst+gAXDggGqhWF1+81xWHjuB69eBjh1NyXnPnsA776gZEREREdlcmzaSjOv1wO3bchsaat5ORQWNGgFPPSX7Bw+aFk90ZgVeSZTsS3o60LkzkN29skkTmYSh06kbFxEREdmYm5uMlIeESM25wQB4eakdFXQ6YPBgoE8fOf76a0nanRlH0B2YogBDhwK7dslxYCCwYoVpMgYRERE5IS8vICBAE8l5ttdfN81fXboUuHlT1XBUxwTdgc2dC3z7rex7egKrVgFly6oaEhERETkSC61KWrw40KuX7KelAfPnWyA2O8ZJog5q+3a5gpW9ONiiRcCbb6obExERETmIjAxZ4GjTJlO5TEiI1LO7Fa6C+uxZoGpV2a9USRYucrR1WjhJ1IldugS88oopOX/3XSbnREREZEFWWJW0ShWgZUvZv3gRWL/eQrHaISboDiYpCejQwVS71aoV8Nln6sZEREREDsSKq5IOGmTa//prC8Rqp5igOxBFkRaKR4/KcZUqwM8/y1K6RERERBZhxVVJ27WTXB8A1q2TkXRnxATdgXzyCbB8uezr9cDq1cAjj6gbExERETkYK65K6uoK9O8v+4rivKPoTNAdxKpVwLhxsq/Tych5jRqqhkRERESOyMtLJoQmJgLR0UBCgtwmJsr5IrZv7NsX8PCQ/blznbPlIhN0B3D8uPkk0E8/Bdq2VS8eIiIicnBWXJW0TBnTokVJScD06UV+SrvDNot27tYtWW3rwgU5fv11YMkSrhRKRERENpCSYpVVSf/+G3j8cVkRvUQJqUUvXdpiT68atll0AllZQNeupuT8qaeAH35gck5EREQ2YqVVScuVA956S/bv3AGmTbPo02seE3Q7NmsWsHGj7JcpI3XoxYurGhIRERGRRYwebapF/+or4Pp1deOxJSbodurECWDUKNPxkiVAUJB68RARERFZ0qOPAv36yX5yMjB1qrrx2BITdDt0965MCk1Lk+N33gFatFA3JiIiIiJLGz0a8PSU/dmznWcUnQm6Hfr4Y+DwYdmvUQMID1c3HiIiIiJrCAw09UVPSQGmTFE3HlthFxc7s28f0LQpkJkJuLkBe/cC9eurHRURERGRdcTEAI89BqSmylzUCxdkXqo9YhcXB3TnjpS2ZGbK8bhxTM6JiIjIsZUtCwwYIPvOMorOBN2OvP8+cPas7DdqJHVZRERERI5u5EigWDHZnzNHRtUdGRN0O7FhA/D117Lv5QX8+KOUuBARERE5uoAAYOBA2U9NdfxRdCboduD2baB3b9Px1KlA1arqxUNERERkayNHmtZDmjvXsUfRmaDbgcGDgatXZb9lS2DQIHXjISIiIrI1f39TDpSaCkyerG481sQEXeOWLpUNAHx9gXnzAJ1O1ZCIiIiIVPH++6ZV07/5xjSA6WiYoGvYP/+Y6q0AqUF/9FH14iEiIiJSU5kyUlkAyIKNy5apG4+1MEHXKEWRuvO4ODnu0gXo2lXVkIiIiIhU16OHaT8yUr04rIkJukbNmQP83//JfmCgqYMLERERkTOrWRMICpL97duB5GR147EGJugadOYMMGKE6XjePMDPT714iIiIiLRCpwPatJH9tDRg61Z147EGJugak5Ehq4WmpMjxoEFAq1bqxkRERESkupQUIDYWSEkxJuiAY5a5WDxBnzBhAnQ6ndlWvXp1S7+MwwoPB/bvl/0qVRy/ET8RERHRA2VkABERwKhRxq1F2jq4uysAJEFXFJVjtDCrjKA/8cQTiImJMW67du2yxss4nEOHgIkTZd/FBVi0CChRQt2YiIiIiFQVGSlJUWKi1PwmJkL/23w8Xf0WAODCBeDsWZVjtDCrLBbv5uaGgICAfD02LS0NaWlpxuOEhARrhKR5KSlS2pKRIccffAA0aaJuTERERESqSkkBNm0C9HqgfHk55+MDREejjc9ubEUHAMC6dY61yrpVRtDPnj2LwMBAPPbYY+jWrRuio6PzfGx4eDgMBoNxC8qelutkPvgAOHlS9p96Chg3Tt14iIiIiFQXHy+br6/5eV9fvFhyn/HQ0erQdYpi2aqdyMhIJCUloVq1aoiJicFHH32Ef/75B8ePH4der7/v8bmNoAcFBSE+Ph4+Pj6WDE2ztmwBWrSQfU9P4PBhaSFERERE5NRSUqTuPDHRNIIOANHRULz1qLDyc1z52wWensDt26ZVRrUqISEBBoPhoXmuxUfQ27Rpg1dffRV16tRBq1atsG7dOsTFxWFZHks9eXp6wsfHx2xzJnFxQM+epuPJk5mcExEREQEAvLyAkBBJ0KOjgYQEuU1MhO6FELR5UVJZR2u3aPU2i76+vqhatSrOnTtn7ZeyS2+/DVy5IvvNm8sxEREREf2nTRsgNFTq0G/fltvQUKBNG4dtt2iVSaI5JSUl4fz583jzzTet/VJ2Z/ly4McfZd/HB1iwQLq3EBEREdF/3NyA9u1lJD0+HjAYZGQdUiLs7g7cvWtqt6jTqRyvBVg8HRwxYgS2b9+OS5cu4Y8//kCnTp3g6uqKrl27Wvql7FpsLNC/v+n4yy/NS6uIiIiIKAcvLyAgwJicAzKY/vTTsu9I7RYtnqD//fff6Nq1K6pVq4bXXnsNJUuWxN69e1G6dGlLv5TdUhSgb1/glrTvxMsvS4tFIiIiIioYRyxzsXgXl6LK7+xWe/bdd0C/frLv7w8cPw6UKqVuTERERET26PhxoHZt2W/VCli/Xt14HkS1Li70YOfPA8OGmY6//57JORERERVBSorUzqakqB2JKp54AihXTva3bQOSk1UNxyKsPkmUTDIzgR49gDt35LhvX6BdO3VjIiIiIjuVkSE1HZs2mSZPhoRIzYeb86R4Op38k7/7TtotbtsGvPii2lEVDUfQbSQtDejVC9i9W44rVQJmzFA3JiIiIrJjkZHAokXSI9zPT24XLXKcQuwCyFmHHhGhXhyWwgTdBm7eBF54wdRS0cVFfn5yWViViIiI6OFSUmTkXK+XNnA+PnKr18t5Jyt3adFCVmMHgPnzgUuXVA2nyJigW9np00CTJsDOnXLs5QUsW2ZqCURERERUYPHxsvn6mp/39TXdVxR2Vtfu42Na7DEtDRg5Ut14iooJuhVt3SrJ+fnzchwQAGzfDnTurG5cREREZOcMBtni4szPx8WZ7iuMjAypERk1yrRFRMh5jRszBihTRvaXLTMNjtojJuhWMm8e0LKl6eemdm1g3z6gYUNVwyIiIiJH4OUlE0ITE4HoaCAhQW4TE+V8jsV8CsSO69p9fIBPPjEdh4UBWVmqhVMkTNAtLCtLPmz26WP6sPniizI5lCuFEhERkcW0aQOEhkrd+e3bchsaaj5jsiAcoK69d2+gTh3ZP3xYPlvYI+fpwWMDycmyIuiKFaZzb78NTJ9exG5HKSmm9kmF/URMREREjsXNDWjfXkbMLZEnZNeu+/mZn/f1lQ8A8fGaz0NcXYEvvgCef16OR48GXnkF8PZWNawCY4JuITExwEsvAQcPyrGLCzBrFjB4cBGelP1NiYiI6GG8vCyTOOesa8+5ymVR69ptrHlzoGNHYNUqmec6ebJ56Ys9YImLBRw5AjRqZErO9Xpg7doiJueAXdeBERERkZ2xVl27CqZOBdzdZX/aNODyZXXjKSgm6EW0dq20TPz7bzkuXx744w+gdesiPrED1IERERGRnbF0XbtKKlcG3nlH9u2x7aJOURRF7SBySkhIgMFgQHx8PHxyXl7RGEUBvvwSGDbMNEO4USNg9Wppp1hksbEy29TPz/wyU0KC/MBMnmyhFyIiIiK6hwPMf4uPB6pUAW7ckOOdO9Vfhya/eS5H0AshIwMYMkQ+mWUn56++CmzbZsGc2Vr9TYmIiIgexstLkho7Tc4BSZXste0iE/QCio8H2rUDvv7adO7DD4GlSy38PexAdWBEREREaujTx9R28dAh4Mcf1Y0nv5igF8ClS0DTpsCGDXLs7g4sWCCfzlys8T/pIHVgRERERGpwdQU+/9x0PHo0kJSkXjz5xRr0fNq7F+jQAbh+XY79/KTf+XPP2eDFHaAOjIiIiEgtHTvKPEEAGDMG+PhjdeJgDboF/fIL0KyZKTmvWlUS9gIn5ykpMvmzoB1YHKAOjIiIiEgt9tZ2kQn6AygKMGkS8Prr0qIHkER9zx6ZFZxvGRlARIR0ZcneIiLkPBERERFZVZUqsro7AKSmSiqmZUzQ85CWBvTsKZdBsvXqJfXn966A+1BccIiIiIhIVWPGAKVKASVKALVry0CsVnG9+FzcvAm8/LL0y8wWHi5N7nW6Aj7ZvQsOAdLXPDpazrMjCxEREZHV+foCy5YB1asDZcuqHc2DMUG/x+nTQNu2wPnzclysmLTkeeWVQj5hfLxs9w67+/pKZ5b4eCboRERERDbQvLnaEeQPS1xy2LoVaNLElJwHBAA7dhQhOQe44BARERERFQgT9BxWrjTl0bVrA/v2AQ0bFvFJueAQERERERUAS1xymDEDOHNGmtovXSpl4xaRvbDQpk1S1mIwAJ06ccEhIiIiIroPFyq6R1KS1J27WeOjCxccIiIiInJa+c1zOYJ+D29vKz65lxcTcyIiIiJ6INagExERERFpiNUS9NmzZ6NixYooVqwYGjdujP3791vrpYiIiIiIHIZVEvRffvkFw4cPx/jx43H48GHUrVsXrVq1wvXr163xckREREREDsMqCfqMGTPw1ltvoVevXqhZsybmzp2L4sWLY968edZ4OSIiIiIih2HxBD09PR2HDh1CSEiI6UVcXBASEoI9e/bc9/i0tDQkJCSYbUREREREzsriCfrNmzeRmZkJf39/s/P+/v6IjY297/Hh4eEwGAzGLSgoyNIhERERERHZDdW7uIwePRrx8fHG7cqVK2qHRERERESkGov3QS9VqhRcXV1x7do1s/PXrl1DQEDAfY/39PSEp6enpcMgIiIiIrJLFh9B9/DwQP369bF582bjuaysLGzevBnBwcGWfjkiIiIiIodilZVEhw8fjh49eqBBgwZo1KgRvvjiC9y5cwe9evV66NcqigIAnCxKRERERA4lO7/NznfzYpUEvUuXLrhx4wbGjRuH2NhYPPnkk1i/fv19E0dzk5iYCACcLEpEREREDikxMREGgyHP+3XKw1J4G8vKysLVq1eh1+uh0+ks/vwJCQkICgrClStX4OPjY/Hnp4Lh+6EtfD+0he+HtvD90Ba+H9rC9yN/FEVBYmIiAgMD4eKSd6W5VUbQi8LFxQXlypWz+uv4+PjwG0hD+H5oC98PbeH7oS18P7SF74e28P14uAeNnGdTvc0iERERERGZMEEnIiIiItIQp0vQPT09MX78ePZe1wi+H9rC90Nb+H5oC98PbeH7oS18PyxLc5NEiYiIiIicmdONoBMRERERaRkTdCIiIiIiDWGCTkRERESkIUzQiYiIiIg0hAk6EREREZGGOF2CPnv2bFSsWBHFihVD48aNsX//frVDcnjh4eFo2LAh9Ho9ypQpg44dO+L06dNmj0lNTcXgwYNRsmRJeHt7o3Pnzrh27ZpKETuXyZMnQ6fTISwszHiO74dt/fPPP+jevTtKliwJLy8v1K5dGwcPHjTerygKxo0bh7Jly8LLywshISE4e/asihE7rszMTIwdOxaVKlWCl5cXHn/8cXz88cfI2fCM74f17NixA+3bt0dgYCB0Oh1WrVpldn9+/u9v376Nbt26wcfHB76+vujTpw+SkpJs+K9wHA96P+7evYuRI0eidu3aKFGiBAIDAxEaGoqrV6+aPQffj8JxqgT9l19+wfDhwzF+/HgcPnwYdevWRatWrXD9+nW1Q3No27dvx+DBg7F3715s3LgRd+/eRcuWLXHnzh3jY4YNG4aIiAj8+uuv2L59O65evYqXX35Zxaidw4EDB/DNN9+gTp06Zuf5ftjOv//+i6ZNm8Ld3R2RkZE4ceIEpk+fjkceecT4mClTpmDWrFmYO3cu9u3bhxIlSqBVq1ZITU1VMXLH9Nlnn2HOnDn46quvcPLkSXz22WeYMmUKvvzyS+Nj+H5Yz507d1C3bl3Mnj071/vz83/frVs3/PXXX9i4cSPWrFmDHTt2oF+/frb6JziUB70fycnJOHz4MMaOHYvDhw9jxYoVOH36NF566SWzx/H9KCTFiTRq1EgZPHiw8TgzM1MJDAxUwsPDVYzK+Vy/fl0BoGzfvl1RFEWJi4tT3N3dlV9//dX4mJMnTyoAlD179qgVpsNLTExUqlSpomzcuFF57rnnlHfeeUdRFL4ftjZy5Ejl6aefzvP+rKwsJSAgQJk6darxXFxcnOLp6an8/PPPtgjRqbRt21bp3bu32bmXX35Z6datm6IofD9sCYCycuVK43F+/u9PnDihAFAOHDhgfExkZKSi0+mUf/75x2axO6J734/c7N+/XwGgXL58WVEUvh9F4TQj6Onp6Th06BBCQkKM51xcXBASEoI9e/aoGJnziY+PBwD4+fkBAA4dOoS7d++avTfVq1dH+fLl+d5Y0eDBg9G2bVuz/3eA74et/f7772jQoAFeffVVlClTBvXq1cN3331nvP/ixYuIjY01ez8MBgMaN27M98MK/ve//2Hz5s04c+YMAODIkSPYtWsX2rRpA4Dvh5ry83+/Z88e+Pr6okGDBsbHhISEwMXFBfv27bN5zM4mPj4eOp0Ovr6+APh+FIWb2gHYys2bN5GZmQl/f3+z8/7+/jh16pRKUTmfrKwshIWFoWnTpqhVqxYAIDY2Fh4eHsYf6Gz+/v6IjY1VIUrHt3TpUhw+fBgHDhy47z6+H7Z14cIFzJkzB8OHD8cHH3yAAwcO4O2334aHhwd69Ohh/D/P7XcX3w/LGzVqFBISElC9enW4uroiMzMTkyZNQrdu3QCA74eK8vN/HxsbizJlypjd7+bmBj8/P74/VpaamoqRI0eia9eu8PHxAcD3oyicJkEnbRg8eDCOHz+OXbt2qR2K07py5QreeecdbNy4EcWKFVM7HKeXlZWFBg0a4NNPPwUA1KtXD8ePH8fcuXPRo0cPlaNzPsuWLcPixYuxZMkSPPHEE4iKikJYWBgCAwP5fhDl4e7du3jttdegKArmzJmjdjgOwWlKXEqVKgVXV9f7OlFcu3YNAQEBKkXlXIYMGYI1a9Zg69atKFeunPF8QEAA0tPTERcXZ/Z4vjfWcejQIVy/fh1PPfUU3Nzc4Obmhu3bt2PWrFlwc3ODv78/3w8bKlu2LGrWrGl2rkaNGoiOjgYA4/85f3fZxnvvvYdRo0bh9ddfR+3atfHmm29i2LBhCA8PB8D3Q035+b8PCAi4r/FDRkYGbt++zffHSrKT88uXL2Pjxo3G0XOA70dROE2C7uHhgfr162Pz5s3Gc1lZWdi8eTOCg4NVjMzxKYqCIUOGYOXKldiyZQsqVapkdn/9+vXh7u5u9t6cPn0a0dHRfG+soEWLFjh27BiioqKMW4MGDdCtWzfjPt8P22natOl9bUfPnDmDChUqAAAqVaqEgIAAs/cjISEB+/bt4/thBcnJyXBxMf/T6OrqiqysLAB8P9SUn//74OBgxMXF4dChQ8bHbNmyBVlZWWjcuLHNY3Z02cn52bNnsWnTJpQsWdLsfr4fRaD2LFVbWrp0qeLp6aksWLBAOXHihNKvXz/F19dXiY2NVTs0hzZw4EDFYDAo27ZtU2JiYoxbcnKy8TEDBgxQypcvr2zZskU5ePCgEhwcrAQHB6sYtXPJ2cVFUfh+2NL+/fsVNzc3ZdKkScrZs2eVxYsXK8WLF1d++ukn42MmT56s+Pr6KqtXr1aOHj2qdOjQQalUqZKSkpKiYuSOqUePHsqjjz6qrFmzRrl48aKyYsUKpVSpUsr7779vfAzfD+tJTExU/vzzT+XPP/9UACgzZsxQ/vzzT2NXkPz837du3VqpV6+esm/fPmXXrl1KlSpVlK5du6r1T7JrD3o/0tPTlZdeekkpV66cEhUVZfb3PS0tzfgcfD8Kx6kSdEVRlC+//FIpX7684uHhoTRq1EjZu3ev2iE5PAC5bvPnzzc+JiUlRRk0aJDyyCOPKMWLF1c6deqkxMTEqBe0k7k3Qef7YVsRERFKrVq1FE9PT6V69erKt99+a3Z/VlaWMnbsWMXf31/x9PRUWrRooZw+fVqlaB1bQkKC8s477yjly5dXihUrpjz22GPKhx9+aJZw8P2wnq1bt+b696JHjx6KouTv//7WrVtK165dFW9vb8XHx0fp1auXkpiYqMK/xv496P24ePFinn/ft27danwOvh+Fo1OUHMujERERERGRqpymBp2IiIiIyB4wQSciIiIi0hAm6EREREREGsIEnYiIiIhIQ5igExERERFpCBN0IiIiIiINYYJORERERKQhTNCJiIiIiDSECToRERERkYYwQSciIiIi0hAm6EREREREGvL/PCo79vdFPY4AAAAASUVORK5CYII=", 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", 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+TFtbG+Hh4bjdbtra2ujq6qKpqcnoTON/YxQSEoLFYiEqKgqTyUR3dzc9PT1UVVXR29vLsWPHjDdF/p/bu+++S2dnJ2FhYdTU1LBr1y6io6OZNGkSBw4cMEL62LFjMZlMtLS0EBQURGhoqHFWZNu2bTz//PNGQAfIy8s77dmXsyl/Erkc2Gy2ET/bNHnyZNauXcuMGTNwOBwEBweTnp5+zvdnMpmYN28e8+bN4wc/+AFpaWm8+uqrPProo4wZM4Zt27YZi1Sh77mi/0LVQHNWAf2WW24x/p+bm8vVV19NWloaf/vb3wgLCzunATz++OM8+uijxuXW1lZSUlLO6b5E5NLVv4QF+Figstls1NbWsnnzZmpqanjssceM23JycnC73cYMtd1up6Kigh07duBwONi7dy9OpxOr1WrM9tpsNiZMmMCUKVPYtm0bFouFuro6zGYzKSkpFBYWAn2lHi0tLZhMJoKCgujt7aW7u5vOzk6cTqcx4+vz+QgJCaG3t5eOjg6CgoLo7Ow0gmtnZycAUVFReDweOjs76e3tPW1Hlp6eHoKCguju7j7n59hP4h+XyWTC5/MZPYpPnjxpvAHp7e0lJiaG7u5ufD4fLpfLKEExm82EhITQ09ODz+cz3myYTCZ6e3upq6ujt7cXm81GU1MTHo8Hr9dLW1sbo0aNMn5nbreb3t5eQkNDGTVqFMHBfS9PZWVl1NfXc+LECbq6uqivr8fpdBIbG0tMTAyjR4+mpqaGjRs3Mm3aNDZt2sT27duZNGmScdbiySefJDo62nisDNVxZnD506mo3l3k7Jw8eZLPfvazfOlLXyI3N5fIyEh27drFT3/6U5YuXcpNN91Efn4+t99+Oz/96U/JzMykpqaGN998k09/+tNnVHby0UcfsXHjRhYtWsTo0aP56KOPjG4tAP/xH//BD3/4QyZMmMD06dNZuXIlJSUl/OUvf7nQ3/45O682izExMWRmZnLkyBEWLlxIV1eXUR/oV1dXN2TNul9oaOiQK3pF5MrSv4QFGLKcpaCggE2bNuFwOHjhhRfIzc0lLy8PgGPHjrF+/XoOHTpESEgIVquVsWPHGjPemZmZxiy4P2QfPnyYyspKo8vAyZMncTqdxqlWi8VCSEiIERZjYmJwOByYTCYjnPt1dnYate8ul8sIqCaTyQi/ZrOZrKwsWltbKSsrw+fzERQUNKCExWKxGCE3KCiI4OBgTCYTkZGRuFwuI1APJ7PZjNVqxe12YzKZCAsLM2a8Q0NDCQsLIy8vj9bWVj766CNsNpvxvfrLeqKjo/F6vUaZYnd3N0FBQcYbEJ/PZ5Qe2Ww2nE4n7e3tRjD3/ywsFgsNDQ3U1tYSFhaGx+OhoaGB3t5eQkJCMJlMVFdXA1BbW8uePXsIDQ1l06ZNTJs2jbfeesuo58/KymL9+vVs27aN0aNHM2HChAH96/1hvaCgAI/HQ3JyslEWdSqqdxc5OxEREVx99dX84he/oLy8nO7ublJSUrj//vv57ne/i8lk4q233uI///M/+eIXv0hDQwNJSUkUFBSccRfAqKgotmzZwlNPPUVraytpaWk8+eSTxsTyv//7v+N0Onnssceor69n8uTJ/OMf/xjQwSXQnFUXl8Ha29tJTU3liSeeYPny5SQkJPDyyy9zxx13AH0zH9nZ2aetQR9MXVxErkyDZ9D71xGnpKTwzjvv0N7ezubNmzl48CBTp05l8uTJRmhva2vD6/Xy1ltvUVdXh9VqZdy4cUbgi4+Pp6uri2PHjhmBubOzE5PJRGhoKDNmzODYsWM4nU7GjBlDS0sL7e3tBAcHExoaislkIjk5mePHj3Py5EkjfA61k2dYWBghISE4nU6Cg4MJCQnB7Xbj8/lITEwkMjKSqqoqoqOjSUlJoayszCgRHD9+PAcPHsTpdBrB118G4m+/eL590P2sViupqalGCU15eTnR0dFMmTKFAwcO4Ha7MZvNREdHExcXR3V1NbW1tXi9XsxmsxHOAeLi4rDZbDQ3Nxs/t6ioKMLDw6mtrSU2NpaOjg66u7tJSkrC7XbT0dFBW1ub0fnG5/MZb2j8X8Mf0nt6eoiMjMTr9eL1ehk3bhw9PT2YzWZjwarFYiE0NJTOzk4mTZqE0+k01g5ERkYSHx/PHXfcwcSJE3E4HKSnp3PgwAGcTifXXHMNhw8fJiIigmXLlp12IfLpzvSIXAjD3cVFLqyL3sXlm9/8JrfddhtpaWnU1NTwwx/+ELPZzF133UV0dDT33Xcfjz76KLGxsURFRfHQQw+Rn5+vDi4iYjhViUD/mkiXy8WxY8c4ePAgFouF4OBgtm3bRl1dHW63m8bGRo4dO0ZaWhqbN2/mL3/5C2FhYVxzzTVGvbPNZmP06NEcPXqUuro6Ojo6jHDnn7UFjEC4c+dOvF4v3d3dOBwOLBYLPT09Rlh0uVwkJiYyffp09uzZQ2trq7G402QyMWbMGJqamujp6WHOnDnMmjWL3/3ud1itVsLCwjh58iRdXV24XC4iIiKIjY0lNDSUJUuWMGXKFE6cOEFMTAxpaWnExcVRUlJCcHAw+fn5nDhxgtmzZ7N582Y2b948bL+LUaNGkZ6ezvLly3nvvffIzc0lKCiIBx98kNdff53q6moKCwvxeDzs27eP8PBwY/dRgBkzZvDWW2/R0tJCT08PEydOxGq1snXrVkJCQpg+fTohISHGQlz/wtPm5mZiY2NpamoC/tlNxj/LHhQUhMvlMs4sBAUFAf+clffPqkdERDBhwgSCg4N55513jFn2hIQEmpqaqK6uJjg4mOTkZEJDQ6murub1118nKSmJ8vJy5syZQ0dHBy6Xi8jISPbv309QUBBlZWU8/PDDQ9aj93+c+ttxgmbTRWR4nVVAP378OHfddRcnT54kISGB+fPns2PHDhISEgD4xS9+QVBQEHfccceAjYpERPz6lwgMrgf2L9ZLTk6mqakJs9nMnDlzcDqdvP3223R3d9Pa2kpHRwfl5eWYTCZcLhcOh4OoqCh27txJY2MjHo+H9vZ2amtrjdlXj8dDXFwcHo/HCIrwz04AVquVjo4OY1bcv9DTarUaM7lRUVFkZ2fj9XrZvXu3Ua4xadIk0tPTKSwspLOzk5tuuokvfOELNDY20tHRQUJCAocOHTJmdC0Wi1HT7fF4mDt3LpWVlcaC+5SUFCZNmsT1118PwJYtW1i0aBEPPfQQs2bNoqqq6rxm0YOCghg3bhzXXHONsUBz1qxZNDQ0kJCQQG9vL8uXL+f3v/89n/nMZ3j//fcxmUzYbDYmTpxIWloavb29mM1m0tPTsdvtxkx2amoqEyZMwOl0MnXqVGpqaggLC8Pr9RIeHo7ZbKa5uZmGhgajpCU0NJSpU6eSmJjI8ePHKS0tJTg4GK/XS1dXl/G99vT0GDX9zc3NdHR0MHbsWFpbW41yI4/Hg8PhMMpnYmJiaGhoAPoW6JaXl1NWVkZHRwfHjh0jISGB5ORk9u/fz0cffURPTw9dXV3Y7XYWLFjAkiVLjJKawR1hRqIThohcGc4qoK9ateq0t1utVp5++mmefvrp8xqUiFw+Bvca928ikZOTQ3FxMRs2bMDtdjNv3jxjsd6sWbOorKzEbrdjtVpZv349zc3NuFwuo3OIyWTi+PHjRtDr7Ow0QmJQUJDRccW/sNO/iDMuLo7g4GCam5sZPXo0TqfTmKVPTEw06hNDQ0MpLS0lNjYWn89HREQEUVFRRo377NmzjRn0kJAQXC4XPp/PKG/ZsmULM2bMIDY2luTkZLZs2cKcOXP44IMPqKysNG5buHAh1dXVeL1eenp6GD9+vFFb799Ns3/f79dff52ZM2caQfVcmM1m3njjDaNePCsri7KyMqOkKC0tjWeeecb4feXl5TFr1iySk5Opq6tjwYIF1NbW0tTUxBe+8AUKCws5cuQIx48fp7a2lrFjxzJ58mSuueYaqquriYmJwWQykZ6eTktLC3/+85/x+Xz09PRw5513GmuX2tvb+eCDD3C73URFRREUFERHR4cx7sG94Ht7ezlw4AARERFYrVZjEau/LztgBPXg4GCjlKa1tZXu7m5MJhNNTU3U19ezZ88e42vW1NRQX1/P9u3b+fDDDxk3bpyxrqH/WZ7TlbdoMamInI/zWiQqIvJJ/DPmH330EYWFhUyfPp1Zs2bR2NjI3/72N7Zv305VVRV/+ctf6OzspLm5mXfeeYeysjKam5s5ceIEvb29NDQ0kJqaislkwu1209XVZSwe7O3txev1UlpaSkxMDNHR0fT09Bgb4ni9Xjo6OrBYLGRkZDBnzhwaGho4fPgw2dnZHDp0iN7eXqMUwmazkZWVRXZ2NnPmzGH16tVERUURFxdHZGQk1157LTExMWRlZfHaa69RWlrKuHHjmDJlCvX19YSEhHDw4EEmTJjAsmXLAIyQHRMTw4YNG5gxYwYxMTHEx8cbbzKmTZv2sfrnwe3Qpk6dygsvvMDdd999zrPov/vd75g6deqA6yorKzl06BCZmZmsW7eOsLAwJk2axPLly9myZQvt7e1MnToVq9X6sfrr+++/n+3bt/P2229z4MABsrKymDVrFklJSezdu5eenh7GjBnDmDFj2LdvHzExMURFRREZGcnUqVPJzs5mw4YNzJkzh48++gifz0d6ejrNzc3GzwCgqamJ9vZ2goKCiIiIoL293WgPGRwcbJTKBAcHG4t+/W98+nec6V++FBoaSmtrK2azmcjISHp6eujt7cXtdhutJceOHUtSUhIJCQkUFRWRlpZm7HIKGJcLCgqMzhFaTCoi50MBXUSGnX+zGICUlBRjoeaePXuorq7m3XffJS4ujt27d1NdXY3dbjd2jfQHJug7K9fQ0IDP56Otrc3ofOJv6eevTQ4ODiYoKMj4mDJlCk1NTcYGRT09PYSEhBg16Bs3bsRkMuFwOBg9erRRBuHvkOJyuZgyZQrLly9n+/btxiLRrq4ubrvttgE70t11110fWzTY0tLCli1byM7ONsKlP6Tl5eUZHVP6l/r4/z2T2da77roLn8/Hl770JXp7e89ol1Gz2UxwcDArV67krrvu+tjt/jH4N3tKSkoy3iwsW7ZsyNng/sFzwYIF5OfnG793f3cd/31arVaysrKMRaG33norLS0txk6r/p/J8uXL2bFjB1OmTMHtdhMbG4vJZMJisXDgwAHeffddwsPDjY48QUFBxMXFGS0t/WcAQkNDCQkJwePxMG/ePPbv309jYyNms5mIiAjjjEtoaKix4LV/lx+/9vZ2KisrqaurA8DhcJCamkpHRwdOp5OEhAR++ctfUlhYyKZNm8jNzaWkpISYmBiOHj3KggULPvF3IzISvF6v8Rwqgee8urhcCOriInJpc7lcvPzyy7z77rs4nU6mTZtGcnIyR44cYceOHXR3d9PS0kJycjJms5mqqipaWlpwu92EhYUZG9DAP9v/+WdFTSaT0QnEYrGQlJREc3Mz4eHhNDY2ApCZmclVV11FdHQ0lZWV9PT0UF1dTUhICBMnTiQ1NZVDhw6RnJyM1+vlxhtvNN4EjB49mg0bNhAdHc3nPvc55s2bx7Zt23jzzTdJSUkZ0NbxfMsbhqME4siRI9x3331s2bLFmEGeBGwBCoDD/HNm+brrruMPf/gDEydO/MTf34Uszeh///5Z5tzcXGbOnPmxcij/GPyLMUePHs3u3bu57bbb2Lx5M2VlZVgsFsaOHcuGDRuw2+3Ex8cTHh5OcHAwZWVlmM1mJk+eTEtLC9XV1TQ1NRlrEMLCwpg2bRoOh4OamhqjnaZ/AbDVamXGjBlUVVWRlJRkdLTp6uoC+hbZZmRkcOjQIUpKSpgxYwaTJ0/G4XDQ2NiI1+tl6tSpTJo0iaVLlw5YdKoSGDkbw9HFZffu3axcuZIPPviAgwcPGs+jkydP5tprr+WLX/wiM2bMGOaRX5mGo4uLArqIfKJTtUDszz9Dum7dOrZv38769etxuVxMnDiRqKgoY2En9PUM989o+2dBg4ODjV0o/bXEQUFB2Gw2o/572rRpbN++nbi4OKKjo3G5XERHR5OXl8ebb75JWFgYDz74IKmpqVRUVNDc3Ex5eTmhoaGcPHmS9PR07r///gGL/vqHRIDCwsIBrfaGClL+wOjfXn6kg5b/hXfr1q0s27uX73u9/H9BQbyam8v8+fMD9oX3TEOq/zh/D3N/oPcvKi4oKODw4cP84x//YNOmTYSEhBAbGwv0vaa43W6OHDlCd3c3XV1dBAcHk5GRQXR0NOnp6dTX17Nr1y6jft2/u2twcDBms9l4LPrf7EBfX/dRo0YRGxtrvMEcP348V111FTabjbCwMCwWCydOnKCpqYkZM2Zw/fXXY7VaycvLM9ZfLFq0aMAZGZGhnE9AH+qN/GD+6wsKCvjjH//4iW/k5fQueptFEbn8DRWa+i/mtFqtvPnmm+zbt88oBTCbzUyZMoU9e/bwwQcfcOTIEdra2owaXn/rPJvNRlxcHFVVVbS1tREaGkpERIRRR24ymYzyFcDoHBIcHExMTAzbt2/HarWSmJhIe3s7J0+eNMpgYmNjGTVqFBUVFeTm5nLXXXexZs0aY6Oh6upq3G431dXVAwLRUJ04Bu9gOriGuP/nBEKt8YwZM/4ZwHNyoLSUH2Rl8YP/LTcJVGe63bj/OJfLZZSwFBUVUVJSwrZt2/B4PGRnZxMWFsbo0aMZO3Ysc+bMoaenB6/Xy9tvv01NTQ3t7e1YLBaio6O58cYbOXr0KCdOnGDUqFGEhoZisViMHu6A0erRZDJhNpuNcO/fdMrfe7+7u9v4/B07dhATE8PMmTNJTU0lOTmZ2tpa6urqeOyxx0hMTOTf//3fcTgcxky8yIXy0ksvGaVw8PGF1n7+6z/88EOmTJlyylI4uXgU0EVkgNMFTv/Cua6uLjo7O2lqaqK1tZWcnBx8Ph/FxcW8++67xkI7n8+Hx+Oho6PD2GimtbXVWLxnsViIioqiu7ubkydPMnr0aEJDQ2lvb8fn85GTk4PJZGLu3Lns3bvX2EkzNjaWf/mXf6G2tpbk5GRjZ7q5c+cO6Hjir512u90cP37cKJ3pb3BIPJvACAHWaq+sDEpL+/5vt8OhQ5CZObJjGkb+n7v/DEZ6ejqhoaEkJyezYcMGent7KSgo4Gtf+xo2mw273c7OnTsxmUzMnDkTs9lsrC8oKCjg+eefx+v1EhYWRnZ2NgUFBezfv5+DBw+SkZHBvn37jA4wnZ2dWK1Wo9d6W1ubUbceGhpqPLbr6upoaGigrq6OTZs2kZmZSUpKCvv27aO6uprjx4/z9NNPM3/+fGw2G/Hx8bz44ossXrzYGLPKXmQ4vPTSS9xzzz1ntZi8p6eHnp4eYxH65z//+Qs4wuF1/fXXM336dJ566qlTHvP888/zyCOPDPlaEGgU0EVkAH/Q9M9SpqWl4Xa7SU1NpaWlhRdffBGv10tlZSVutxun04nZbMbhcHDy5Emam5uNnSl7e3uNMpHOzk6jttffJrG7u5vu7m7Gjh1rbNrj8Xj48MMPAVi2bJmxcLCzs5MVK1YwadIk5s6dS35+/ilLUPz6z7z69V+8OBzOdBb4ovj738Fsht5eCArqu/z44yM9qmHR//c8eFGt//dbUVExoNZ75syZtLS0kJKSwu23305zczMHDhwgJCSEpKQk/u3f/o3Vq1fT0dFBZmYmN910k/GGDmDMmDFYrVYqKyuNnWODg4Pp6uoiLCwMt9tt1LNHRUVx//3388ILL1BWVobD4SAsLIzW1laKi4uNxcrBwcEcPXoUs9lMVlYWL774IidOnKCtrY3KykoqKyu5+uqrjY45g3uvi5yJw4cP86UvfemcOz35F6HPmTPnvMtd7r33XlpaWli7du0ZHW8ymXj11Ve5/fbbz+rrrFmzBovFYlxOT0/nkUce4ZFHHjGu+9d//Vf+5V/+5azud6QooItcQc6k5rf/LGVhYSGvvPIK+/fvJzU1lSNHjhgL8xwOB93d3QQHB1NfX2/Udfv5d4H0L770t8frv0V8REQEGRkZREREYLFYMJvNJCcnM3HiREaPHs3kyZOprq5my5YtLFu2jOeff/6U4z0dm812ZdT5/vWv8L8/d7zevsuXSUAffGan/+/cZrMRExNDUFAQlZWVAxZj5ufnG2dVXC4XHo+H9PR0Y/3BmDFjqK2tZf78+VitVubMmUNwcDDTp09n69atdHR0kJSUZGzilJCQYJSmHDlyhJMnTxo7n/7hD38A+jZL6u3tJTY2lujoaGpra42uMRaLhY6ODvbu3Yvb7ebzn/+80W1o8+bNRn/5jRs3EhMTw/XXX89dd9014M3o4EW0IoN9+ctfHtCN6Fz09vZy3333DevuxReSf93J6YSFhREWFnYRRnP+FNBFriD+kOOvJR/cz9r//4SEBLZu3crWrVs5ePAgFovF2BTI3y3F4/EQGhpKRkYGwcHBHDp0CK/Xa3RbiY6Opre31+jMMmrUKMLDwxk3bhzl5eW0traSlZVFUlISNTU1jB8/3piBbGpqwmq1EhMTQ3NzM+3t7djt9sCZqR4pbjfs3g1DzYo1NcH/BljDnj3w+usw1AuXyQQzZsA5doS42D6plOhUt/d/A+dv51lbW2scu2TJEqBvs6Y9e/aQmJjIs88+C2DsKltUVMTYsWOJiIhgxowZ+Hw+Nm3aREJCAm63G7PZTH19PT6fj8jISEwmEz6fj/b2dmOdhclkMna49Z89Cg8PZ/PmzTgcDkJCQkhLSyM8PJysrCyam5s5efIkW7duJTs7m3nz5mG32yksLGTt2rX09PRw6623XhlvPOWsFBUVsWXLlvO+n56eHrZs2cLu3buHbZH59ddfT25uLlarlT/84Q+EhITwb//2bzzxxBNA36w3wKc//Wmg70xuRUXFkLPwjzzyCCUlJWzatMm4b3+Jy/XXX09lZSXf+MY3+MY3vgH0/T0PVeLyzDPP8POf/5zq6moyMjL43ve+x//5P//HuN1kMvH73/+eN998k/Xr1zN27FiefPJJPvWpTw3Lz+RUFNBFLnNDlQa43W4KCwvZuXMnNTU1REdHY7fbSU5OZuPGjdTU1LBz506qq6sJCgoiNTXV2K3TvyjOZDKRmJjIzJkzjRZ48fHxVFZWGj2p4+PjaWxsZNKkSYSFhTFhwgQmTJjA1KlT8Xg8/Md//AfHjx+noqKChQsX0tDQwPLlyxkzZowxy+mf6QyIGu+R9vvfw7//+6lvDwr65wy6//LpXkR+9St46KHhG98F9ElnSs7kTIp/UW//N3z+gNs/1JSVlQFwzTXXUFFRQUdHBwcOHKC0tJTm5majvWd8fDyhoaG0tLQwatQo42+lpKTEeCMbFhbGjBkzKCws5Pjx48YmSy6Xi/DwcPbu3UtLSws9PT0kJSWRkpLC6NGjaW5uNvq5l5aWkpWVhdvtxmKx4Ha7L4kaWhkZzz///Cm7tZwt/94Jw9kF6oUXXuDRRx/lo48+Yvv27dx7773MmzePhQsXUlhYyOjRo1m5ciWLFy/GbDaf09dYs2YN06ZN4ytf+Qr333//KY979dVXefjhh3nqqae46aabeOONN/jiF7/IuHHjuOGGG4zjfvSjH/HTn/6Un/3sZ/z617/m7rvvprKy8oxm7c+VArrIZa5/aYA/5GZlZXHs2DHefPNNI/z6Z/0aGho4efIkDQ0NeL1eent7SUxMpKKigqCgICwWCyaTiZCQEOLi4nj//fdpamoiJyeH3NxcI1DExsYSFRVFTk4O8+bNIyQkhOrqahYsWDBgIWdWVhYwsHXhfffdN+B7uOJnzv3uv79v4edvftM3Az54Jr1/OB/qMvzz8x56qO/+riCDN13qLycnZ0Dr0A0bNgCwaNEisrOz8Xq9NDQ0EBwczKJFizh58iQREREsWbIEi8VCTEwM7733HidPniQmJsYoSWlqaqK4uNgI1CEhIZjNZtxuN6X/u6DXv+tpa2sriYmJ7Nixg4aGBsLCwoiIiGD37t3s2bOHiIgI4w2F/w2syGAffPDBsIRz6JtF37p167Dcl19ubi4//OEPAZg0aRK/+c1v2LhxIwsXLiQhIQHo23k5KSnpnL9GbGyssTvw6e7n5z//Offeey9f//rXAXj00UfZsWMHP//5zwcE9HvvvdfoavP//t//41e/+hU7d+5k8eLF5zzGT6KALnIJ679j5+DFZP4e0bNnz8ZisZCWlkZxcTFr167F5/MRExNDfX09brebiooK2traaG9vNzpTmEwmwsLC8Pl8nDhxwujKEhERYZSttLe309PTQ3x8PAUFBdx///387Gc/IyEhgcbGRmbOnMmsWbOM7e5PV/8eUN1QApXVCr/+NSxcCMuXQ3s7nM0LcXAwRETAn/4Et9124cYZwE41095/ncLgRcU2mw23283Ro0eZOHEiaWlp3H777ZSXlzNr1izy8vJ48sknjYWgGRkZZGRk0NTURGFhIa2trUZnI7PZTGdnJz09PXg8Hmw2GyEhIcab4sOHD2O1Wuno6ODkyZOYzWbKy8uprKzkqquuIiUlxSj/Ati2bduAcYocPHhwWO/vwIEDw3p//j0n/JKTk6mvrx/Wr3Gm7HY7X/nKVwZcN2/ePH75y18OuK7/mMPDw4mKirrgY1ZAF7kE9d+4xT/T568p9wf20tJSNm/ezLZt28jJyWH16tUcOXKEbdu2UVdXR0dHh7G9utfrJTExEafTSUhIiNEeMSYmBrPZzNy5c9m1axddXV2EhIQwatQoOjs7CQoKYsaMGcTHx3PDDTfQ2NjIrFmzsFgspKenG10o4PThHAKsG0qg+9SnYP9+uOsu+OCDM/+8a66Bl16CsWMv3NguA0MtKs7Pzzc2HBlcemW324mOjiY2NpbZs2czatQo0tPT2b9/P83NzfT09BhdWiwWC1lZWXz00UdGO1Gn00lkZKSxwZK/xaPH4zEWlra0tFBbW8vGjRtJT09nwYIFvP3226xYsYIZM2ZQWlpKdnb2x/7e+v9fAf7y5y9BHE7d3d14vV6CgoKG5f76d1qBvhpv71Bn+/rxd1EaPK6L5VzGfL4U0EUuQf6ylczMTBYtWmTUpL788svGbp3+BZbBwcEUFxdTV1dnnEbv7OzE7XYbYdzf7jAoKIjw8HByc3NxuVwkJCSQnJzM+PHjcbvd7N27F6/Xi8fjISgoiLS0NKZPn05vby87d+5k0aJFzJ49+2NhwF++AipXGTZjx8L778N//zd873tDLxz1M5ngxz+Gb3+7rw2jnLWhQvvgXvif//znje4qdruduro6kpOTmT9/PvPnz2fFihV0dHQQHh5OUFAQ+/fvJzo6moaGBiIiIoiNjaWjo4Px48cTExPDO++8g9frJSoqit7eXkpLS6msrCQ1NZWcnBxeeeUVysvL8Xg8uFwu9u3bx7p164iPj+f48eNkZ2eTnZ3NoUOHjPGe6e6tcmnylyEOZ3j1bzR3sfhb9PaXkJDA/v37B1xXUlLyseDcX0hIyCd2ssnJyWHbtm0sX77cuG7btm1Mnjz5HEY+vBTQRS4h/duswT/7QBcVFfH3v/+d2tpa5syZQ1dXF3//+9/p6OgwNvOprq4mPj7e2GSot7eXuLg4nE4nNpuN2NhYPB4Ps2fPJjY2ltTUVBYsWEBhYSEFBQUAVFZW0tzcTFRUFPPmzeOWW25h2rRpxqK6U51mV/nKBWI2w5e/3BfQP8n99yucX2CDN7Dyd4jxz2pfe+21lJeXM2XKFH73u98xadIkpk+fztGjR6mtraW5uZnOzk4qKyu56aabOHjwIOXl5bjdbjwej7E422QysXXrVqqqqvB4PEBfSzx/28f+O6NmZ2eTm5tr/O313xVYHWAuT5MnT2bPnj3Ddn9XXXXVsN3XmUhPT2fjxo3MmzeP0NBQRo0axY033sjPfvYz/vSnP5Gfn8+LL77I/v37T7sOIz09nS1btnDnnXcSGho6oP2q33/8x3/wuc99jry8PG666SZef/111qxZw7vvvnshv8UzooAucgkZapdPl8tFRUUFxcXFREREkJmZyf79+zl58qQx83HkyBGam5vp6OggODiY3t5erFYrERER1NXV0dXVhdPpZPHixeTl5VFdXU1dXR2FhYV0d3dz+PBhampqyMvLo6Ojg4SEBG6//XbjBX6oJ77+VL5yAZ3h5h+sXXvFLQq9WIb6uxw8415UVER3dzeTJ082diX1eDxGq7YXX3wRs9nM9u3bOXToEA0NDURFRRESEkJISAher5euri5jJv348eO0tbVhNpsJCwtj4sSJNDU14XQ6ueaaa4iLiyMzM5OsrCzKysooLi4mLy8Pt9tNTU3NgAWxcGZ7JMil4dprr+XAgQPD1sVl/vz5wzCqM/fkk0/y6KOP8vvf/56xY8dSUVHBzTffzPe//32+9a1v4Xa7+dKXvsQXvvAF9u3bd8r7+f/+v/+Pr371q0yYMAGPxzPkpk233347v/zlL/n5z3/Oww8/TEZGBitXruT666+/gN/hmTH5znWbqQuktbWV6OhonE4nUVFRIz0ckYDR2NjIa6+9RlJSElar1ajvttvtPPHEE5SUlJCens4TTzzBK6+8wquvvkpERAT19fWEhYUZPcotFgutra2Eh4eTnJzMyZMncTqd9Pb2Mn78eH7+858btelutxuHw0FXVxfbt29n0qRJfO1rX9MmKYFk4UJ4771/dmwJDu5bOOr/F/pmzm+4Ad55Z+TGeRk7k3Db/xiXy8Vrr71Geno6+fn5QF/Ib2lp4YknnqC8vByz2YzX68Xr9RIbG4vX68XlctHY2IjX62XUqFG0tbURFhbGN7/5Te68805+//vf43a7yc7Opru7G4vFgsfjobCwkPj4eLKzs/F4PFRXV3+sh3r/Lkp6Mx143G43x44dIyMjw1gLcSq7d+8e1t9hUVHRsLZZvBKc7vd1pjlXM+giAcrfocU/07Vp0yYqKyuZNGmSMTPiXxial5dHaWkp1157LRUVFRw+fJje3l5jIWd4eLgxezB9+nSqq6tpaGjAZrORnZ1NSEgIhw8fNjaQmDdvHkVFRfzjH/8AoKCggMjISBYvXkx8fPwnzpjLRdLU1FeH7g/nQUGQkwMrVvTVm9vtfbf19vYd19wMo0aN7JgvQ2e6m23/2fWhWom6XC4eeeQRXn/9ddLS0rDb7bS1tdHd3U1HRwdXX301O3fuJDQ0lKVLl/LSSy8xfvx4QkJCeOONN6irq6OmpobJkydTUVHBiRMngL5ZUKvVSnl5Od3d3ZjNZvbu3UtWVhY2m+1jZXNyaZsxYwYFBQV8+OGH5zWLHhwczDXXXKNwPkIU0EUCUGNjI7/85S85cuQI7e3txMfHExYWhsvl4rbbbuPEiRPs2LGDhIQEXC4XO3bsoKmpiddee41rrrmG+Ph4kpKSaGxsNHb2tFgsREdHM2HCBMLDwzl58iRtbW3cddddxMTE0NLSgsPhMPqS9+8LrRZuAeof/+gL3/17m//3f0NoKCxYAN/5Dvzyl3239/b2Hd9vMZSMvMGz7+np6Vx33XVkZmbyqU99ipaWFtatW4fP5+PgwYN0dHTQ3d3N9u3b6e3tpaKigieffJLY2Fja2tpwOp3s2bOH2bNn09raCmDM4kVERODz+di4cSP79u0jMjKSnJwcLeC+DP3xj39kypQp5xXQzWYzf/zjH4dxVHI2FNBFRthQp8fXrVvH7t27aWlpITo6munTp9PY2EhLSwuvv/46Y8aMobKykhdeeIG4uDgOHz5MW1sbXV1dtLa2MnfuXBYtWsTRo0cpLy8nKCiIsLAw4uPjqamp4eqrrzZesK1WK8eOHePAgQOEhIRQWVlJfHz8kF0rJMCsXt33b0wM/PnP8L+LEoG+nulPPQU33QRf+ELf7Pnq1QroAWZw/Xr/BdX+zY5iYmIoKSkxFv6FhobS29vLmDFjaGhooK6ujtbWVqKionA6nXg8HlpbW6mrq+P48ePY7XYiIyPJz89n/vz5ZGdnY7VaWbx4MS6Xi+PHj3PNNdd8Yk911alfOiZOnMjKlSu5++67h6y9/iQmk4mVK1cyceLECzA6ORMK6CIjpH8v80OHDg1YtFVQUIDH46G9vZ1jx47hcDiYNWsWnZ2d7N27l9raWlwuF1u3biU3NxeTyURcXJzRWuv48ePMnz+flJQUY9OVGTNmEBcXR2dnJ3fffbdxarulpYUDBw6QkpLCtGnTdIr7UrJ/P1x/fV9v8+TkoY+59da+4z7/+b5/JaAM7nBks9mMNo3+IDxz5kzS0tLweDx0dHQQEhLCxIkTiYmJ4dVXX+WPf/wjKSkptLa2EhwcTFBQECkpKdTW1hpdMLq6uqiurmbmzJkkJSWxY8cOTp48ycqVK9m6dSsdHR2EhoYCfaVzg2fTXS4Xa9asob29HdBs+6Xgrrvuwufz8aUvfYne3t4zmk0PDg7GbDazcuVKY+dMGRkK6CIX2eBgnpqaamxE8sorr9DS0kJPTw/33nsvM2fO5B//+AdtbW2sWbOGSZMmsWfPHiwWC5GRkbS3t3PkyBHa2tqIjIxk1KhRdHd3Y7Vaeffdd41ylZSUFO69914KCwuNOnLoe5Hdtm0bISEhTJs2TTPml5oDByA8vK+E5XTGjOmrQe/ouDjjkjM2VP36UF1h4uPjufrqqz+2kHPPnj1kZGSQkJBAVlYWx48fJzw8HKvVitfrxWQy0draasy0f//73yczM5P33nuP2tpao4d6XFwcISEhVFdX43A4cLlcA2bJi4uLOXjwIBMmTNCb+EvI5z//eebMmcN9993Hli1bCA4OHjKo+6+fN28ef/jDHzRzHgAU0EUusv6bDOXm5tLS0kJJSQmNjY10dXVx8OBBmpqaOH78OMnJyRw9epSenh5cLhfNzc3YbDbCw8NZsmQJH3zwATU1NVitVm6++WbCw8M5ceIEZrOZ5uZmEhMT6ejoYMKECUbLRH8Ji19eXp6x2FQuMRERZ36syXR2x8uIOdW+AUNd/7nPfQ7o21VxypQpAGzZsoXY2Fj279+P2+2mtbUVs9lMUFAQlZWVHDt2zChhq6mp4eTJk8Zzz+HDhykrK8PhcLB06VKjYxNwTqUSMvImTpzI5s2b2b17t3HG5MCBA0ann6uuuor58+fzxS9+UQtCA4gCushF4p85j4iI4Pjx4yxYsIDU1FQ2btxIUVERAOPGjSMvL4+PPvqIrq4uysrKaGtrY9q0adTV1REUFMTYsWNJSUmhpKSE4OBgMjIymD17Nl/72td45513sFgszJo1i4MHDzJ58mQiIyOJiIhg8eLFA15s/dSjXCSwnOpvcqjr+8+s+9u5LVq0iKysLMaNG8czzzxDVVUV4eHhzJo1i127dlFfX09iYiLbtm2joqKC/fv309XVxfTp0+np6cHtdrN161ba29vZv38/d955J9OmTeO9996jo6OD4uJi4+trAfmlY8aMGf8M4IcO4bv2WkwffACZmSM7MBmSArrIRWK323n//fd5++23iY6OBuCxxx4DICkpCafTaSzo6u3tpeN/yxFMJhNVVVWkpaXR2dlJZmYmTqeTsrIyzGYzd9xxB7feeivV1dV0d3dz1VVXkZSURGtrKzExMSQlJRm1rGqPKHL58b/p9pfN5ebmYrPZKCkpoba2ls7OTiZOnEheXp6xtiU1NZW2tjYsFgtxcXGYzWbq6uqIioqira2N6Ohojh49ys6dO4mOjsZqtRIWFobdbmfChAns3LmT7u5ujh07xrJlyxTSLzUvvYSpvh5efhl++MORHo0MQQFdZJh8UoeDnJwc/vCHP9Dc3ExrayuzZs1izZo1jBo1ivb2dtrb2ykvLyc4OJixY8eSnJxMa2srFouF2NhY0tLS2LdvH5s3b+azn/0sSUlJJCcnM2XKFA4dOkRmZiazZ882Xqz9ZSt64RS5vPln1l0ul/F3b7fb6ezsJDo6mnHjxnHrrbeSlZXF6tWr8Xq9NDQ0kJ2dzdKlS7Hb7TQ1NXHs2DFaWloICgri+PHj5OXl0dPTw9tvv013dzfd3d18+OGHjBs3jtTUVLq6umhvb6e4uFjPN5eav/71n/8qoAckBXSRYTLUwi4/f3j/6le/SkVFBR0dHRQWFvLOO+/g8/lwOp1GZ5bIyEjGjx9vzKCnpaXR2trKPffcw4svvkhdXR0RERH853/+J9DXM722tpasrKwBM+QqWxG5svQvgcnJyeHTn/40t9xyi7HrMMA3v/lNVq9ejcfjwWQyUVZWxty5c3n11Vex2WyYTCZOnDhBR0cHbW1tjBs3jn379vHmm28yevRoWltbeeWVV7j77rvJz883dh1WL/VLSFkZlJb2/d9uh0OHVOYSgBTQRYZJ/wVc/kCelpZGWVkZe/bsobq6mpSUFJqbmykrKyM4OJju7m66urqw2Wz09PRgNpuNQN7c3ExaWhpNTU3U19fz97//nfHjx5OXl2csBgOorKwccvGniFy5TrWPwQ033EBMTIzR1tVqtbJr1y5KS0vJyMggODiYyMhIysvLqa6uJjExkczMTEwmExERETQ3NwNQXl7O17/+dWw2G42NjZSWltLS0jKg+4v6pgeov/8dzOa+zcuCgvouP/74Bfty9957Ly+88AJf/epXefbZZwfc9sADD/Db3/6W5cuX8/zzz1+wMVyKFNBFzlP/FyH/7FFRURF79+7Fbrdz4MABtm7dSlVVFZ/+9Kfp6OggKCiI0NBQ4uLi6OjowGq10tzcjMViISQkhOPHj2MymQgPD2fRokXs27ePuLg4enp6WLBgAfn5+cbXP1XHBxGRwex2u1Gn7n++2rt3L2azmVmzZjFr1ixaWlp45pln2LhxI8ePHyc+Pp7rr7+eiooKpkyZQnh4OLfeeivQ9/z32muvsWnTJoKDg7FarcYbg6HOKiq0B4C//hW83r7/e719ly9gQIe+Vr+rVq3iF7/4BWFhYUDfmomXXnqJ1NTUC/q1L1UK6CLnyf8i5Ha7sVqtJCQkGIF85syZ+Hw+ampqaGpqYvPmzYwdO5YxY8ZgNpuZN28eu3btMrbodrvduFwuxo0bR1BQEB6Ph3379nHVVVfR3t5ORETExxZkqQuLiJypod7Qf/aznyUyMpKCggIaGhq44YYbeO+999i9ezexsbF87WtfIzQ0lOrqasaOHUtWVhY7d+7E6XTyt7/9ja6uLk6cOMHkyZMBqKqq4oUXXuBzn/scubm5pKWlUVRUZNTGqxzmAnO7YfduGKotZlMT/O/P37BnD7z+OsTGfvx4kwlmzOjbmfg8zJgxg/LyctasWcPdd98NwJo1a0hNTSUjI8M4zuv18t///d/87ne/w+FwkJmZyfe//30+85nPANDb28tXvvIV3nvvPRwOB6mpqXz961/n4YcfNu7j3nvvpaWlhfnz5/Pkk0/S1dXFnXfeyVNPPYXFYjmv7+NiUkAXOU85OTm43W5KS0vp7u6moaGB9evX09jYiN1uJy4ujoKCAo4cOcJ3v/tdampqjB1C29ra+PKXvwzA+vXrKSsrY8GCBcTFxWG32zl58iQTJ040WiQmJCSwZs2aAZsNiYicqVO1arznnnuMM38AN954I0ePHuWzn/0sdrudoqIivF4vKSkptLe3s3v3brZu3cru3bsJDw83Jh0+/PBD3nvvPaqrq+nq6uLxxx9nzZo1NDU1UVJSQnp6OpmZmTrjdyH9/vfw7/9+6tuDgv45g+6//KlPnfr4X/0KHnrovIf1pS99iZUrVxoB/X/+53/44he/yKZNm4xjVqxYwYsvvsizzz7LpEmT2LJlC/fccw8JCQlcd911eL1exo0bx+rVq4mLi+PDDz/kK1/5CsnJycaeAADvv/8+ycnJvP/++xw5coR//dd/Zfr06dx///3n/X1cLAroIp9g8CnZwfXlDoeDt99+m8TEROrq6rjxxhuZOnUqxcXFjB07FofDQUREBBMnTuTQoUM0NjYSHR2Nx+OhqakJh8PB9OnT+cEPfjCgT7m/17C/z3B8fDwvvvgi7733HgD33HPPiP1MROTy0392PScnh6SkJEpKSti9ezddXV1YLBZaW1s5cuSIsbGa1WolNzfXWED69NNPY7VaiYiIYO7cudjtdtrb23E6nTgcDqqqqli0aJHKXC6k++/vW/j5m9/0zYAPnknvH86Hugz//LyHHuq7v2Fwzz338Pjjj1NZWQnAtm3bWLVqlRHQPR4P/+///T/effddo4xz/PjxbN26leeee47rrrsOi8XCj370I+M+MzIy2L59O3/7298GBPRRo0bxm9/8BrPZTHZ2NkuWLGHjxo0K6CKXk8GnZO12O4WFhbz11lu0trby/vvv43a7SUxMxGKx8PLLLxMXF0dMTAw9PT1MmDCBkydPUldXx/r16/F6vWRkZPDII49QWFjIqFGj+Mc//sGiRYsGLOoaaoHX4sWLB/wrIjJcBs+uz5w5k7S0NAAOHz7M5s2bWb9+PSEhIWRmZtLU1ITJZCI0NJSjR48SHh6Ox+NhzJgxXHPNNcTGxrJ27VpycnLw+XykpqYSExMDMKAsUEF9mFmt8Otfw8KFsHw5tLdDT8+Zf35wcN+uw3/6E9x227ANKyEhgSVLlvD888/j8/lYsmTJgDPBR44cweVysXDhwgGf19XVZXQhAnj66af5n//5H6qqqujs7DQ22ervqquuwmw2G5eTk5PZt2/fsH0vF4MCusgnGFyzmZOTQ0lJCSdPnqSxsZHk5GR6enpYunQpmzZtoqKiglGjRtHd3U16ejpBQUEAtLS0UFBQQGtrK9HR0RQWFrJs2bIBu/J9Ev+paBGRiyE+Pp777ruPxsZGAP7+979TX19PdHQ0n/nMZxg3bhy/+93vKC8vZ8yYMQQHB9PY2Mj+/fspLi6mvb2dTZs24fF4mDBhAgUFBdx4440cO3bM2FhJQf0C+dSnYP9+uOsu+OCDM/+8a66Bl16CsWOHfUhf+tKXePDBB4G+oN1fe3s7AG+++SZjB33t0NBQAFatWsU3v/lNnnzySfLz84mMjORnP/sZH3300YDjB9eam0wmvEOdKQhgCugip9C/lKX/5ZycHLKzs9mxYwcmk4ng4GCio6N58803qauro7GxkaCgIJKSknA4HDz++OO88847AB/rZ56RkUFeXp7x4iQiEmhcLheVlZV885vfZPbs2fz6178mNjaWuLg40tPTiY2NJTIykuuuu44PP/wQn8+HyWRi7ty5lJWV4fF42LVrFydPnqS6upq9e/cybdo0oC9I+YM6aOHosBs7Ft5/H/77v+F73xt64aifyQQ//jF8+9t9bRgvgMWLF9PV1YXJZOLmm28ecNvkyZMJDQ2lqqqK6667bsjP37ZtG9dccw1f//rXjevKy8svyFhHmgK6yCn4S1v8NZSrV6+msrKSUaNGYbPZuOGGG6ivr8dkMgGwa9cu6urq6OnpIT4+nqCgICZMmEBDQwNLly5l165d1NfX87e//Y3e3l5aWloAdWERkcDWv8zvjjvu4LrrrmPdunUsXrwYm83Gl7/8ZSoqKoyzij09PURFReF2u7n22mvp6uoiIiKCUaNG0dnZSVJSEg0NDUyaNInu7m6jjl2TFBeI2Qxf/nJfQP8k999/wcJ531DM2O124//9RUZG8s1vfpNvfOMbeL1e5s+fj9PpZNu2bURFRbF8+XImTZrEn/70J9avX09GRgZ//vOfKSwsHNAJ5nKhgC7ST/9Zcv+LRVpaGn/729/44IMPBuz22dLSgslkIiYmhoSEBMxmM7fccgtlZWVYLBaioqJwOp2kpaUZiz+dTifLly+nuroaYEBdnYhIIBpc5je41G7BggUA/PKXvyQkJITY2FiioqIoLCxk7969jB07loKCAjIzMzl8+DAnTpygt7cXt9uN1+vF7XaTlZWlhaMX0tq1Z37cBV5IGRUVdcrb/uu//ouEhARWrFjB0aNHiYmJYcaMGXz3u98F4Ktf/SrFxcX867/+KyaTibvuuouvf/3rvP322xd0zCPB5POd7nzHxeevz3U6naf9JYoMN5fLxcsvv0x5eTlLliwhLy/PqA/fs2cPr776Kh0dHcTExGA2m7nrrrsoLi7G4XCwd+9eent7ufXWW7FYLBw5coT29namTJnCZz7zGaP/r158RORytXHjRn7zm9+QlpZGZGQkbW1tVFRU4HQ66erqYubMmeTk5DB69GjWrl2L2WwmOjqa1tZWEhMTCQoKYsGCBVj/t+e2v4OV9G3qc+zYMTIyMoyfz1lZuBDee++fHVuCg/sWjvr/hb6Z8xtugP8tyZRzd7rf15nmXM2gi/wvu91OeXk5DQ0NQF+bwz/84Q8AfOYzn2HmzJmUl5djNpuxWCxER0eTnZ3N/v37sVgsZGRkcO2117Jt2zasVitz584lIiKCtLQ0lbGIyGXLf+Zx2rRpfPOb3wT6do585513uPbaa1m7di0ffvghb731Fk1NTYwbN44jR47gdDoZN24cwcHBdHR00N7eTk1NDeHh4dTU1PDggw+yYMECXC7Xx9rOylloauqrQ/eH86AgyMmBFSv66s3t9r7benv7jmtuhlGjRnbMooAuV7b+T/xZWVksWbIEt9uNw+Hg9ddfp6OjA4BXX32VzMxMtm7dauzo6XA4yM7O5qqrriIsLIyHH34Ym81mtBEDOHToEJWVldhsNs2gi8hlqX+N+rx583C5XKxZs4by8nIsFgszZ87k6NGjhISEYLFYaGtro7W1lcbGRsLCwpg8eTKJiYl8+OGHNDY2Mnr0aHw+HxUVFcb9b9iwwfh66vhylv7xj77w3b+3+X//N4SGwoIF8J3vwC9/2Xd7b2/f8cuXj/Sor3gK6HJFGbzpUHFxMc8//zwJCQlYrVby8vJ4+eWXef755zl58iTp6em0tbVx9OhR3G43EydOpKuri5qaGiZPnozX6+WWW27BarVis9mw2WxG/3KXy2W8kGh7axG5XPVfr1NUVITb7aa9vZ0JEyaQnZ2N2+2mvr4es9lMQkICNTU1REVF4XK5CA4O5pprriEzM5OqqirKysqYMWMGaWlpLF261Ljf1NRU0tPTAfRcerZWr+77NyYG/vxnWLLkn7dZrfDUU3DTTfCFL/TNnq9erYAeABTQ5YriD8r+vrtut5uYmBg8Hg87d+6kpaWF8vJykpKS6O3tNWZ4IiMj6e3tJTk5mWPHjuHxePjTn/7EnDlzsFgsRieC/i8Y/ctaBi+yEhG5XPif64qKiti7dy+ZmZnMnj17wK7IS5YsISsri8rKShwOB8ePHyc9PZ3g4GAyMzOZNm0aUVFRBAcH8/777/PII48YnWIqKysJCgoiJiaGnJwcrFar8WZAM+lnYP9+uP76vt7myclDH3PrrX3Hff7zff/KiFNAlyuK/wXD7XYbLyTTpk1j/fr17Nq1izvvvJMFCxbg9XppbW3l5MmThIaGEh0dTU9PD+PGjWPu3LkUFhYye/ZsYmJijJIYf7/0oagGXUQud/0nIvyhuaioiEOHDpGbmwv0TZIEBQXR0dFBfn6+UUb42muvERERQVxcHLW1tbz66quEhIQAsGzZMqBvJt1/BvRKPSt5Tn09DhyA8PC+EpbTGTOmrwb9f38ncu6Go/+KArpcUfxB2eVyAX27e7a2tpKdnU1LSwujR49m//79fPDBB8TFxTFu3Dg6OzvZvXs3o0aN4sYbb6S1tZUpU6bQ2tpKZ2cnhw8fBqCysnLAtsUiIleSoSYi+pe/PPPMMxw+fJiQkBC8Xi+RkZEsWLAAt9ttLBqNi4ujvr6e1NRUqqqq+PDDDwkLCyMpKYmysjJj51GAzMzMK+aspH9nTJfLRVhY2Nl9ckTEmR9rMp3d8TIkf8YYvKPp2VBAl8ta/5rz6upqnnrqKR555BHi4uJYt24dRUVFmEwmpk6dSlJSEtXV1axZswaHw0FCQgI33ngjXq+XoqIienp6SE1NJSkpyehtnpaWZmyQcKW8UIiInKn+5S/R0dFMmjSJz33ucxQWFrJ48WLi4+ONMFNaWsq+fftwOp0UFxdz5MgRXC4XO3fuZP78+UZpi9vtpqqqitzc3CumvMVsNhMTE0N9fT3Q93M1fdKMuFx0Pp8Pl8tFfX290ZL5XCmgy2Wt/2nQZ555hg0bNtDZ2cmECRMoLCwkKCiInJwcuru7iYmJITQ0lKlTpxIbG8u3v/1tysvLWbx4MVOnTmXVqlUD6sz9s+WaNRcROb3B5S9ZWVnGbTabzdi0LSkpiZaWFoqLi+nq6iIqKorExEQOHjxIbW0tV111Fe3t7ZSVlXHNNdeMyPcyUpKSkgCMkC6BKyYmxvh9nSsFdLks+dsnut1uUlNTcbvd3HjjjZSXl3PVVVdhMpkYN24ct9xyC4WFhRQXFzNnzhxuvPFG9u7dy/z58ykvL6e7u5vKykqsVitjxow5tw0iRESucJ+0Dsdut3Po0CEsFgsJCQkEBQVhNpvp6uqiuroas9lMU1MTjY2NrF27lubmZr797W9z//33ExMTY/RHH9yp63JiMplITk5m9OjRdHd3j/Rw5BQsFst5zZz7KaDLZcnfN7erqwubzUZCQgJTp07lxz/+MS0tLezYsYNx48bx8ssvEx0dTVdXF3PnzmXr1q1GLfm9995LZWWlMfPjb5koIiLDy//cmpCQgMfjYe7cuWzZsoWdO3ditVqNjloAYWFhuFwunE4nf/jDH8jNzTXObvY/a3q57uBsNpuHJQBKYFNAl8tSTk4Obreb0tJS6urq2LNnD//yL/9CQ0MDW7duxeFw0NzcTHV1NZGRkUZHFqvVytixY7n++uuJj48fUL5yJXUKEBG5mPrXqgcFBZGenk5SUhImk4kjR44wadIkIiMjMZlM1NXVcdVVVxEVFcX06dNpaWkhIiKCF198kYKCAnJzc6/oTi9yeVBAl8vG4FOb8+bNIy8vjyeffJL6+noeffRRvve97xEcHEx0dDQ5OTkcOnSI8ePHk5qaatRA+nvtiojIxdW/Vt3lcuHxeAgPDyclJYUbb7yRffv2MWHCBHw+H1lZWVitVlpbW3nxxRcpLCxk06ZN/OQnP8Fms2n/CbmkmXzD0axxGLW2thIdHY3T6SQqKmqkhyOXkKKiIgoLC4mIiGDZsmXGKc2qqiq+8IUvUFNTQ2JiIjNnziQyMpKxY8cydepUbRstIhKAtm3bxtq1azGbzVx77bUAOBwOYmJiePHFF0lLS2Pq1Kmkp6ezb98+/vrXv9La2sptt93GD37wA+M5/XKuS5dLz5nmXM2gyyVr8JOu/5Rme3s7xcXFA4696qqrqKyspKOjg8rKSh588EFjplxP2CIigclms5GamsrOnTupqqoC+lrZdXZ20tLSQmlpKYcPH6a3t5cJEyawf/9+Kisrefnll0lPTzcW9h86dAhQqYtcOjSDLpckl8vFyy+/THl5OUuWLCEvLw+73W70J29paWHVqlUkJCSwZMkSo7+u1Wpl4cKF5OfnK5iLiAQw/yRMWloaZWVl7Nq1i3fffdfYj2LGjBmsXbuW9vZ22tvbufbaa4mMjMTn83H8+HGqq6tpb2/ny1/+8oD9KzQxIyNJM+hyWbPb7ZSWllJaWsq4ceOAgTMk27ZtIyEhgdGjR1NaWsrChQuZPn268URfXFxstOUSEZHA0781o3/BvsPhYOLEidx1111A35qhPXv2UFhYSEtLCwsWLCAtLY3XXnuNrq4umpqacDgc3HDDDaxZs4b29nbcbrdKGyXgKaDLJaX/jEp2djaNjY1UV1eTlZWFxWIhLS0NgLy8PKxWKzt37mT16tVs376dn/zkJ1RWVrJhwwaAAZsOiYhIYPM/r/sXfdrtdmPDI/+/brebPXv2sG/fPhwOB9nZ2SxcuBC73Y7D4aC8vJyUlBSqq6ux2+0D1iuJBBIFdLlk+MtaSktLGTt2LN3d3cTFxTF//nwADhw4QGtrK2lpaTgcDpYuXUpLSwsej4fKykqeeeYZli9fTmpqKunp6VrZLyJyCek/o15UVMTevXux2+10d3eTm5sLwN69e3G73WzdupXm5mY8Hg+HDx+moqICh8NBVVUVlZWVREVF0d7ejt1u10SNBKTzCug/+clPePzxx3n44Yd56qmngL53r4899hirVq3C4/Fw880389vf/pbExMThGK9cwYqLi9m6dSuNjY2UlpZSXV1t3NbV1UVhYSHh4eF4PB6ioqIIDQ1l2bJlfO9732PTpk1ER0ezZcsWgoKCiImJ0ayJiMglpv9ZVGBAXTn0ZZC9e/dy9dVX09HRwW233camTZuorKw0dijt7u5m8eLFAz5PJNCcc0AvLCzkueeeM961+n3jG9/gzTffZPXq1URHR/Pggw+ybNkytm3bdt6DFUlOTmb69Ol4PB52795NXV0d77zzDj09Pbjdbmw2G4mJieTm5rJ48WJsNhsLFiwgPz9/wCJSPSmLiFx6htp8qP+GclarFZPJRH5+PsuWLcNut3Ps2DFCQkJISkqivr6ekpISZs2aRV5entHx61RrktSiUUbKOQX09vZ27r77bn7/+9/z4x//2Lje6XTyxz/+kZdeeokbb7wRgJUrV5KTk8OOHTuYO3fu8IxaLjunehJ0uVwUFxfjdrsBWLJkCQAbNmxg/PjxRERE0NvbS09PDwUFBTidTkJDQ7n11luNJ+3B993/yVxERC4dn7T50ODb3W434eHhxsz66NGjaWpqwu12U1xczPPPP098fPwp1yRpN1IZKecU0B944AGWLFnCTTfdNCCgFxUV0d3dzU033WRcl52dTWpqKtu3bx8yoHs8Hjwej3G5tbX1XIYkl7hTPQna7XY2bNhAVVUVwcHB3HnnnQAkJSWRmZnJpEmTWLFiBU6nk1mzZpGdnQ1g7Ap6uvsWEZFLS/869E+6vaioiEOHDhESEoLFYqGnp+djx8fHxzNx4kRj59LBZ1q1G6mMlLMO6KtWrWL37t0UFhZ+7DaHw0FISAgxMTEDrk9MTMThcAx5fytWrOBHP/rR2Q5DLjODt3f2z3jn5OQYMx/V1dVUVFRw5MgRGhsbyc3NJTU1lf/6r/9i3bp1LF68eMjZcT3BiohcefyvHw6Hg8TERGJjY9m3bx89PT1s2rSJ+++/n8985jPG2VX/btRvvfUWCQkJascoIyrobA6urq7m4Ycf5i9/+YuxO9f5evzxx3E6ncZH/4V/cuXwz3rYbDaKi4tZtWoVK1aswOVyMW/ePD772c8yefJkFi5cyMSJEwcEcf8uoqd6Au1/3yIicmWw2WxYrVbWrVuH3W6nra2NcePGER4eTmVlJVu2bCEnJ4fi4mK2bdtGWloaFouF1tZWLBYLgNEpRuRiO6sZ9KKiIurr65kxY4ZxXW9vL1u2bOE3v/kN69evp6uri5aWlgGz6HV1dSQlJQ15n6GhoYSGhp7b6OWS9EmLbtxuN7t27SI0NJR169Zxzz33UFlZSXd3Nw0NDdx1113Gwh5/jfqGDRtwu93MmzfvYn87IiISoHJycrjzzjs5dOgQqampWK1WY1Z99uzZPPnkk0YgP3bsGOnp6VRVVZGdnU1WVhbHjh0zOsaIXExnNYO+YMEC9u3bR0lJifExa9Ys7r77buP/FouFjRs3Gp9TVlZGVVUV+fn5wz54uTT5a8L7z0q4XC6KiopwuVxAX415QkICo0aNwuVyGTMbaWlpxqzIoUOHNLMhIiKn5O/kNWfOHOrr66moqGDnzp1kZ2dTWFjI4cOHsVqtTJgwgfb2dqxWK4sWLQJgz549HD58mLKyshH+LuRKdFYz6JGRkUyZMmXAdeHh4cTFxRnX33fffTz66KPExsYSFRXFQw89RH5+vjq4iMFfC56Wlma033S73WzZssXo1uKv/Vu7di0xMTFYrVa6u7uprKwkPj7+Y3Xl/XeXExER6c//+tDS0kJVVRVut5vk5GSuu+46li5dis1mMxaIvvbaa8aOo9D3elRUVERaWpoR1k/VllFkuAz7TqK/+MUvCAoK4o477hiwUZHI4MWfa9as4eDBg1gsFpKSkqipqTGC+cSJE2loaMBms1FaWsrSpUuBfz7JDl7Jr+4sIiJyKv7XDJfLRUxMDC0tLWzZsoVFixYRHx9vnL3ds2cPmzZtoqWlhXnz5jFnzhzcbrexeNTlchESEnLKtowiw+W8A/qmTZsGXLZarTz99NM8/fTT53vXchlxuVy8/PLLHDlyhFtvvRWr1UpTUxNms5mCggKgrwuQ1WolLy+PY8eO0dTUhNPpNGbO9WQoIiLnwx/UB2+e6C+99Hq9BAcHExMTg8Ph4IYbbgDg2LFjtLe309XVRUFBgc7YygU37DPoIkOx2+1Ge0TomwkvKSkZEMr7dwZatmyZsUGRyldERGQ4+V9z/K193W43mZmZRlmLx+Oho6ODNWvWsGzZMpYtW8aaNWuIiIggJiYGm82mXUblgjqrRaIi5yotLY2UlBRmzJhBVlYWNpuN7Oxso5WVf+Hnvn37WLNmDdB3Nubw4cMcO3ZsJIcuIiKXmf7td+12O4cOHcJqtdLQ0EB3dzehoaGEh4fT3t5uNCPIyMhg6tSpxoTRUA0PRIaLArpcFJWVldTV1eFwOCgrK2Pbtm243W4WLVpk7PqZk5NDRESE8YQ4+LKIiMhw6j977l8fFRERQXd3N9nZ2cyePZu0tDTWrFnDvn37gL5g7nK5yMnJITc3V2d45YJQiYtcUP5TgAkJCaSmppKeng7A2rVrKS0t5ZZbbiEvL884bvHixcYWyzabjWXLlhlhXUREZDj5Z89zc3ONMpXBrztr1qyhqamJ2NhY3G43GzZsMPZ7UXmLXCgK6HJB+U8BWiwWgoKCjCe0devW0dzcTGFhIVdffTXQt2MbDOzIMrhbi4iIyHAZ3LIXBr7uFBUV0d7eTmxsLMuWLWP79u3U1NSwf/9+mpqatEGeXDAK6DLsBrdTBEhISGDLli0kJCRgt9u5//77SU9PJykpCbfbTUpKirERkYiIyMUweBJo8MLP/gHev1ZqzJgxAFRVVbF37171RJcLQjXoMuz6L5zxP8Ft2bKF9vZ23njjDZ599lkOHz7MfffdR1JSEocOHWLLli1GO0UREZGRMHjhZ//FpP5e6YsWLWLKlCkEBwdz9OhRXn75ZbZt22bcLjIcNIMuwy4nJwe3243b7aaxsZF169bR1NREeHg4hw8fpqamhoqKigGLc7KysozacxERkZEwuOTF5XKxfft2KioqSE9Pp6qqitzcXKNNY2lpKeXl5VRVVRmbF6n9ogwHBXS5IPybOvifvCZMmEB2djbNzc2kpqaycOHCAYtz4uPjiY+PH+lhi4jIFWxwyYvdbmfVqlXU1dWxdOlSpk+fbgTvefPmkZWVxWuvvWaUa/rD+VBrqkTOhgK6DCuXy8WaNWuoqqri6NGjZGZm4vP5yM7ONnYIjYiIoKGhYcjFOSIiIoEiJyeHO++8k4qKCpYuXfqxiaTKykqCgoJobm6mvr4eq9VKWloaJSUltLS04HK5tKmRnBMFdBk2/nDe1NREdXU1tbW19Pb2Mn/+fOOY/u2r1KFFREQCmc1mY8GCBUPeNrhM86OPPmL16tUkJyfjcDioqqoiJiaGmTNnalZdzpoWicqwsdvtRjuqRx55hKlTpzJ9+nTS09M5dOiQsWjUv+BGRETkUtV/B9L4+Hh2797NunXrWL9+PcHBwcyZM8coe9GmRnK2NIMu56T/6TqA4uJi3G43U6dOJS8vD7vdTmhoKA6Hg4iICNLT040nKoVzERG51A0u01y+fDldXV3Ex8cTGho6oOxl5syZxgLSoqIilbrIJ1JAl3Nit9spLCzEbreTkZHBhg0bAPjUpz4FgNvtpqCggIqKCrq7u6mtraW7u9t4ohIREbmU+c8I9w/d//Vf/2VMYKWlpbFnzx527txJS0sL+fn5KnWRM6aALmes/5OO2+3GYrHQ3t6O2+0mNTWV9PR00tLSWLNmDe3t7cyePZu77rrL+By1URQRkcvN4NDdf31VRUUFq1atYvz48cZO2qDmCPLJFNDljPmfhEpKSqiqqqKgoICYmBjcbjdBQUHExMRQWVlJU1MTTqeTtLS0AU9UaqMoIiKXm1OFbpfLhcfjYcyYMSQmJhqviTk5OeroIp9Ii0TllPyn7fy7o6WlpWGxWIiJiaGmpga32w1ASkoKFouFhIQE3G434eHhJCQkaFdQERG57A1ufuB/7SwuLiYoKIiJEyfidrv5+c9/zsaNG9m+fTv/+Mc/KC4uHuGRSyDTDLqc0uDTdpWVlXR3dxszAg6Hg/r6eiwWC93d3WzZsoX29nYsFgtTp07VKTwREbni+F87MzMzmTp1Kl6vl5KSEpqbmzl58iQzZswYMMklMhQFdDmlwaft/P8mJCSwZcsWpkyZwuuvv85tt93G/v37KSgoMEK61WrVqTsREbni9H/NtNvtBAUFccstt2AymcjMzATA4XAAqKOLnJLJ5/P5RnoQ/bW2thIdHY3T6SQqKmqkhyNDKCoqYu/evRw/fpxjx46RkZHBuHHjjB6vqq0TERHhYzuIulwutm/fTkVFBenp6VRVVZGbm6uOLleQM825mkGXTzT4CcY/O7BgwQK2bNlCQUEBDQ0N2h1URESkn8GLQu12O1u2bAEgOztbmxfJKSmgi6GxsZF169Z9LHCfroXUPffcA0BqauqIjVtERCRQ9X8NzcnJMWrP8/LyjFl1lbrIYAroYli3bh3vvfcex44dY9y4cUBfIFffVhERkXPT/zXUZrMZu2379d/4b9myZQrpAqjNovRTUFBARkYGn/vc5wacdjtVCyl/+0UREREZ2uDXUH8gX7NmDS6Xi5ycHCIiImhqajKuE1FAF0NDQwPjxo2jvb19wJMJDAzl/tN1/WcARERE5NT8r6MJCQk0NDTQ1NSE3W7HZrOxbNkyYmNjaW9v12urACpxkX5OV8oyuIbuVMeJiIjIx/lnzhsaGoiOjiY2NnbAmeply5YZi0lFNIMuHzNUCUtOTg6ZmZnG4pbBM+wiIiJyav5SFn84H1xvPrgURq5smkEXg3+WvKSkhKqqKtxuN/PmzQP6njisVit79+7FarWqlaKIiMhZGDxLriAup6OALgb/abWWlhaOHDlCaWmp0Qaq/+06/SYiInL2TrdXiMvlori4GLfbjdVqHfD6K1ceBfQryOANhwbzP3G4XC5qa2uNxSr+JxNtQiQiInJh2O12NmzYQE1NDWPGjNHZ6iucAvoVZPCGQ6eixSoiIiIXl38TI/8Mek5OzidOrH3S7XLp0iLRK0haWhoWi4W0tLRTHuNfIApaCCoiInKx+DcxiomJMcpbBrc19r9GNzY2UlRURHFxsdoeX6Y0g34FqayspLu7m8rKSuLj443rGxsbWbduHYsXL6asrIwNGzYMWCAqIiIiF97gM92D1371D+zd3d1kZmYO2FhQLh8K6FeQUy3yXLduHe+99x4AGRkZF31cIiIi8vHX6cFrv/zXp6WlUVlZqdKWy5gC+hVkqEWeLpeLUaNGMXbsWAoKCoiPjzdq30REROTiUTMG8VNAv8LZ7XZ27txJUFAQ1dXVNDQ06B25iIhIABpc4gKnb/ogly4F9Cucf9W435l0eREREZGLb3CJS1paGkVFRZpYuwwpoF/h/KvG7XY7aWlpKm8REREJMP52iv4ubDabjZycHNasWUN7ezugibXLjQL6Fap/79Qz7Y8uIiIiF99QpS1ut5sDBw4wceJETaxdhhTQL1ODNy8YfLl/KD9VdxcREREZef1LW8rKyowNjUJCQsjOzjbKW/q3Te7fTlkuPdqo6DI1eHODwZdzcnKM3qn+VeOqXxMREQk8/tdpf6e1Q4cOYbVa+dSnPkVeXp5xnL9t8rp160ZwtDIcNIN+GRhqq9/+77aLioqMurVT9VYVERGRwNf/rPfgibXFixcP+FcuXSafz+cb6UH019raSnR0NE6nk6ioqJEeziWhqKiIvXv3kpub+7HQ3f82f725VnuLiIiIXHxnmnM1g34ZOF0Nef/btBhUREREJPApoF8GTleu0v82LQYVERG5cgxVAiuXBi0Svcy4XC6KiopobGykqKgIl8tl3KbFoCIiIleOwQ0i5NKhGfTLjLYBFhERuXK4XC6Ki4sByMvLGzAJpzPnly4F9MvE4F3G/NsA649SRETk8mW329mwYQMAVqt1wKScOrZduhTQLxNDLQDVJgUiIiKXt5ycHNxut/F/uTwooF8iTncKC3QaS0RE5Epks9mYN2/eSA9DhpkC+iXidKewQKexRERERC4XCuiXiP6nsNLS0ti2bRsw9Gy6iIiIiFy61GbxEmGz2cjLy8NqtVJWVsaGDRvYsGGDWieJiIjIGfO3Y+7fhlkCj2bQLyH+haCZmZksWrQI+GfNuTYjEBERERjY2c3f0c2fDfxZwu12Y7ValRsClAL6JaT/QtDBf0xDdXERERGRK48/E5SUlFBVVYXb7TYWkvqzhNvtVm4IYArol5DTLQRVFxcRERGBf2aBlpYWqqqqBtzmzxIul8uYQZfAo4B+mVAXFxEREYGBITwmJuZjIVxlsYHvrBaJPvPMM+Tm5hIVFUVUVBT5+fm8/fbbxu1ut5sHHniAuLg4IiIiuOOOO6irqxv2QV/ptMBDREREPok/qJ+qLFaNJgLXWQX0cePG8ZOf/ISioiJ27drFjTfeyNKlSzlw4AAA3/jGN3j99ddZvXo1mzdvpqamhmXLll2QgV9JBgdy/WGJiIjI2fLnibS0NHJzcwc0mtDEX2A5qxKX2267bcDl//t//y/PPPMMO3bsYNy4cfzxj3/kpZde4sYbbwRg5cqV5OTksGPHDubOnTvkfXo8Hjwej3G5tbX1bL+Hy97gBaCqNxcREZGz4XK5WLNmDe3t7cDAhaHFxcVs2LBhwGJSGVnn3Ae9t7eXVatW0dHRQX5+PkVFRXR3d3PTTTcZx2RnZ5Oamsr27dtPeT8rVqwgOjra+EhJSTnXIV22cnJyBrzTPdUpKxEREZGh2O122tvbiYiIOO0En2bTA8NZLxLdt28f+fn5uN1uIiIiePXVV5k8eTIlJSWEhIQQExMz4PjExEQcDscp7+/xxx/n0UcfNS63trYqpA+iBaAiIiJyPk7Xqtm/EWJOTo7aNgeIsw7oWVlZlJSU4HQ6eeWVV1i+fDmbN28+5wGEhoYSGhp6zp9/OXO5XBQXFwN9fzyaMRcREZFzcbrJvv5dX9xuN5mZmSqjHWFnHdBDQkKYOHEi0PfOqrCwkF/+8pf867/+K11dXbS0tAyYRa+rqyMpKWnYBnwlsdvtbNiwAQCr1ap3siIiIjKs+rdctNvtHDp0iNzcXE0KjrDz7oPu9XrxeDzMnDkTi8XCxo0bueOOOwAoKyujqqqK/Pz88x7olaT/Fr2LFi0CtCBUREREhl//khY1oQgcZxXQH3/8cW655RZSU1Npa2vjpZdeYtOmTaxfv57o6Gjuu+8+Hn30UWJjY4mKiuKhhx4iPz//lB1cZGj9/1i0mlpEREQulMG16TpbHxjOKqDX19fzhS98gdraWqKjo8nNzWX9+vUsXLgQgF/84hcEBQVxxx134PF4uPnmm/ntb397QQZ+OdM7WBEREbkYFMoDk8nn8/lGehD9tba2Eh0djdPpJCoqaqSHIyIiIiIyLM40555zH3QRERERERl+CugBQhsDiIiIiAgooAcM/8JQu90+0kMRERGRK5wmDkfWebdZlOGhhaEiIiISKLSj6MhSQA8QWkUtIiIigUIThyNLJS4iIiIiMoB/4tC/o6hKXi4uBfQRoge6iIiIXCq0Vu7iUonLCFFtl4iIiFwqVPJycWkG/SLqP2uelpaG1+ulpaVFs+giIiIS0AaXvMiFpRn0i6j/rDlAVVUVVVVVxMTEaBZdRERERAAF9Itq8OmhlpYWKioqSEtLG8lhiYiIiEgAUYnLRdT/9JDNZiMmJoagoCAqKytHemgiIiIiEiA0gz6CtOBCRERERAZTQB9B2pxIRERERAZTiYuIiIiIfCLt4XLxKKCLiIiIyCfSZkUXj0pcREREROQTae3cxaOALiIiIiKfSGvnLh6VuIiIiIiIBBAFdBERERGRAKKALiIiIiISQBTQRUREREQCiAL6eVJPUBEREREZTgro50k9QUVERERkOKnN4nlST1ARERERGU4K6OdJPUFFREREZDipxOUCUW26iIiIiJwLBfQLRLXpIiIiciXSJOX5U4nLBaLadBEREbkS+ScpAZUBnyMF9AtEtekiIiJyJdIk5flTicsn0GkaERERkTPnn6S02WwjPZRLlgL6J1AtuYiIiIhcTCpx+QQ6TSMiIiIiF5MC+idQLbmIiIiIXEwqcRERERERCSAK6CIiIiIiAUQB/TTUwUVERERELjYF9NNQBxcRERGRC0MToaemRaKnoQ4uIiIiIheGdhw9NQX001AHFxEREZELQxOhp6aALiIiIiIXnSZCT0016CIiIiIiAUQBXUREREQkgCignyGtNBYRERGRi0EB/Qyp5aKIiIiIXAxaJHqGtNJYRERERC4GzaAPcqpSFv9KY5vNNkIjExEREZErgQL6IP1LWVR3LiIiIiIXm0pcBulfyqIdrkRERETkYlNAH6R/03zVnYuIiIjIxaaAfhra4UpERERELjbVoIuIiIiIBBAFdBERERGRAKKALiIiIiIjSp3zBlJAFxEREZERpR3bB9IiUREREREZUeqcN9BZzaCvWLGC2bNnExkZyejRo7n99tspKysbcIzb7eaBBx4gLi6OiIgI7rjjDurq6oZ10CIiIiJy+dCO7QOdVUDfvHkzDzzwADt27OCdd96hu7ubRYsW0dHRYRzzjW98g9dff53Vq1ezefNmampqWLZs2bAPXERERETkcmTy+Xy+c/3khoYGRo8ezebNmykoKMDpdJKQkMBLL73EZz7zGQBKS0vJyclh+/btzJ079xPvs7W1lejoaJxOJ1FRUec6NBERERGRgHKmOfe8Fok6nU4AYmNjASgqKqK7u5ubbrrJOCY7O5vU1FS2b98+5H14PB5aW1sHfIiIiIiIXKnOOaB7vV4eeeQR5s2bx5QpUwBwOByEhIQQExMz4NjExEQcDseQ97NixQqio6ONj5SUlHMdkoiIiIjIJe+cA/oDDzzA/v37WbVq1XkN4PHHH8fpdBof1dXV53V/IiIiIiKXsnNqs/jggw/yxhtvsGXLFsaNG2dcn5SURFdXFy0tLQNm0evq6khKShryvkJDQwkNDT2XYYiIiIiIXHbOagbd5/Px4IMP8uqrr/Lee++RkZEx4PaZM2disVjYuHGjcV1ZWRlVVVXk5+cPz4hFRERERC5jZzWD/sADD/DSSy/x2muvERkZadSVR0dHExYWRnR0NPfddx+PPvoosbGxREVF8dBDD5Gfn39GHVxERERERK50Z9Vm0WQyDXn9ypUruffee4G+jYoee+wxXn75ZTweDzfffDO//e1vT1niMtjFbrPocrmw2+3k5OSoOb6IiIiIXDBnmnPPqw/6hXCxA3pRURF79+4lNzeXmTNnXvCvJyIiIiJXpjPNuee0SPRykpOTM+BfEREREZGRdMUHdJvNpplzEREREQkY57WTqIiIiIiIDC8FdBERERGRAKKALiIiIiISQBTQRUREREQCiAK6iIiIiFyyXC4XRUVFuFyukR7KsFFAFxEREZFLlt1uZ+/evdjt9pEeyrC54tssioiIiMil63Lc00YBXUREREQuWZfjnjYqcRERERERCSAK6CIiIiIiAUQBXUREREQkgCigi4iIiIgEEAV0EREREZEAooAuIiIiIhJAFNBFRERERAKIArqIiIiISABRQBcRERERCSAK6CIiIiIiAUQBXUREREQkgCigi4iIiIgEEAV0EREREZEAooAuIiIiIhJAFNBFRERERAKIArqIiIiISABRQBcRERERCSAK6CIiIiIiAUQBXUREREQkgCigi4iIiIgEEAV0EREREZEAooAuIiIiIhJAFNBFRERERAKIArqIiIiISABRQBcRERERCSAK6CIiIiIiAUQBXUREREQkgCigi4iIiIgEEAV0EREREZEAooAuIiIiIhJAFNBFRERERAKIArqIiIiISABRQBcRERERCSAK6CIiIiIiAUQBXUREREQkgCigi4iIiIgEEAV0EREREZEAooAuIiIiIhJAFNBFRERERAKIArqIiIiISABRQBcRERERCSAK6CIiIiIiAUQBXUREREQkgCigi4iIiIgEEAV0EREREZEAooAuIiIiIhJAzjqgb9myhdtuu40xY8ZgMplYu3btgNt9Ph8/+MEPSE5OJiwsjJtuuonDhw8P13hFRERERC5rZx3QOzo6mDZtGk8//fSQt//0pz/lV7/6Fc8++ywfffQR4eHh3Hzzzbjd7vMerIiIiIjI5S74bD/hlltu4ZZbbhnyNp/Px1NPPcX3vvc9li5dCsCf/vQnEhMTWbt2LXfeeef5jVZERERE5DI3rDXox44dw+FwcNNNNxnXRUdHc/XVV7N9+/YhP8fj8dDa2jrgQ0RERETkSjWsAd3hcACQmJg44PrExETjtsFWrFhBdHS08ZGSkjKcQxIRERERuaSMeBeXxx9/HKfTaXxUV1eP9JBEREREREbMsAb0pKQkAOrq6gZcX1dXZ9w2WGhoKFFRUQM+REREREQuNJfLRVFRES6Xa6SHMsCwBvSMjAySkpLYuHGjcV1raysfffQR+fn5w/mlRERERETOi91uZ+/evdjt9pEeygBn3cWlvb2dI0eOGJePHTtGSUkJsbGxpKam8sgjj/DjH/+YSZMmkZGRwfe//33GjBnD7bffPpzjFhERERE5Lzk5OQP+DRRnHdB37drFDTfcYFx+9NFHAVi+fDnPP/883/rWt+jo6OArX/kKLS0tzJ8/n3Xr1mG1Wodv1CIiIiIi58lmszFz5syRHsbHmHw+n2+kB9Ffa2sr0dHROJ1O1aOLiIiIyGXjTHPuiHdxERERERGRf1JAFxEREREJIAroIiIiIiIBRAFdRERERCSAKKCLiIiIiAQQBXQRERERkQCigC4iIiIiEkAU0EVEREREAogCuoiIiIhIAAke6QEM5t/YtLW1dYRHIiIiIiIyfPz51p93TyXgAnpbWxsAKSkpIzwSEREREZHh19bWRnR09ClvN/k+KcJfZF6vl5qaGiIjIzGZTCM9nBHX2tpKSkoK1dXVREVFjfRwJEDocSGnoseGDEWPCzkVPTYuLp/PR1tbG2PGjCEo6NSV5gE3gx4UFMS4ceNGehgBJyoqSn848jF6XMip6LEhQ9HjQk5Fj42L53Qz535aJCoiIiIiEkAU0EVEREREAogCeoALDQ3lhz/8IaGhoSM9FAkgelzIqeixIUPR40JORY+NwBRwi0RFRERERK5kmkEXEREREQkgCugiIiIiIgFEAV1EREREJIAooIuIiIiIBBAFdBERERGRAKKAfgnweDxMnz4dk8lESUnJgNv27t3Ltddei9VqJSUlhZ/+9KcjM0i5KCoqKrjvvvvIyMggLCyMCRMm8MMf/pCurq4Bx+lxcWV6+umnSU9Px2q1cvXVV7Nz586RHpJcZCtWrGD27NlERkYyevRobr/9dsrKygYc43a7eeCBB4iLiyMiIoI77riDurq6ERqxjISf/OQnmEwmHnnkEeM6PS4CiwL6JeBb3/oWY8aM+dj1ra2tLFq0iLS0NIqKivjZz37GE088we9+97sRGKVcDKWlpXi9Xp577jkOHDjAL37xC5599lm++93vGsfocXFl+utf/8qjjz7KD3/4Q3bv3s20adO4+eabqa+vH+mhyUW0efNmHnjgAXbs2ME777xDd3c3ixYtoqOjwzjmG9/4Bq+//jqrV69m8+bN1NTUsGzZshEctVxMhYWFPPfcc+Tm5g64Xo+LAOOTgPbWW2/5srOzfQcOHPABvuLiYuO23/72t75Ro0b5PB6Pcd23v/1tX1ZW1giMVEbKT3/6U19GRoZxWY+LK9OcOXN8DzzwgHG5t7fXN2bMGN+KFStGcFQy0urr632Ab/PmzT6fz+draWnxWSwW3+rVq41j7Ha7D/Bt3759pIYpF0lbW5tv0qRJvnfeecd33XXX+R5++GGfz6fHRSDSDHoAq6ur4/777+fPf/4zNpvtY7dv376dgoICQkJCjOtuvvlmysrKaG5uvphDlRHkdDqJjY01LutxceXp6uqiqKiIm266ybguKCiIm266ie3bt4/gyGSkOZ1OAOM5oqioiO7u7gGPlezsbFJTU/VYuQI88MADLFmyZMDvH/S4CEQK6AHK5/Nx77338m//9m/MmjVryGMcDgeJiYkDrvNfdjgcF3yMMvKOHDnCr3/9a7761a8a1+lxceVpbGykt7d3yN+7fudXLq/XyyOPPMK8efOYMmUK0PccEBISQkxMzIBj9Vi5/K1atYrdu3ezYsWKj92mx0XgUUC/yL7zne9gMplO+1FaWsqvf/1r2traePzxx0d6yHIRnOnjor8TJ06wePFiPvvZz3L//feP0MhFJFA98MAD7N+/n1WrVo30UGSEVVdX8/DDD/OXv/wFq9U60sORMxA80gO40jz22GPce++9pz1m/PjxvPfee2zfvp3Q0NABt82aNYu7776bF154gaSkpI+tsPZfTkpKGtZxy4V1po8Lv5qaGm644Qauueaajy3+1OPiyhMfH4/ZbB7y967f+ZXpwQcf5I033mDLli2MGzfOuD4pKYmuri5aWloGzJbqsXJ5Kyoqor6+nhkzZhjX9fb2smXLFn7zm9+wfv16PS4CjAL6RZaQkEBCQsInHverX/2KH//4x8blmpoabr75Zv76179y9dVXA5Cfn89//ud/0t3djcViAeCdd94hKyuLUaNGXZhvQC6IM31cQN/M+Q033MDMmTNZuXIlQUEDT4TpcXHlCQkJYebMmWzcuJHbb78d6Ctv2LhxIw8++ODIDk4uKp/Px0MPPcSrr77Kpk2byMjIGHD7zJkzsVgsbNy4kTvuuAOAsrIyqqqqyM/PH4khy0WwYMEC9u3bN+C6L37xi2RnZ/Ptb3+blJQUPS4CzUivUpUzc+zYsY91cWlpafElJib6/s//+T++/fv3+1atWuWz2Wy+5557buQGKhfU8ePHfRMnTvQtWLDAd/z4cV9tba3x4afHxZVp1apVvtDQUN/zzz/vO3jwoO8rX/mKLyYmxudwOEZ6aHIRfe1rX/NFR0f7Nm3aNOD5weVyGcf827/9my81NdX33nvv+Xbt2uXLz8/35efnj+CoZST07+Li8+lxEWgU0C8RQwV0n8/n27Nnj2/+/Pm+0NBQ39ixY30/+clPRmaAclGsXLnSBwz50Z8eF1emX//6177U1FRfSEiIb86cOb4dO3aM9JDkIjvV88PKlSuNYzo7O31f//rXfaNGjfLZbDbfpz/96QFv8uXKMDig63ERWEw+n883EjP3IiIiIiLyceriIiIiIiISQBTQRUREREQCiAK6iIiIiEgAUUAXEREREQkgCugiIiIiIgFEAV1EREREJIAooIuIiIiIBBAFdBERERGRAKKALiIiIiISQBTQRUREREQCiAK6iIiIiEgA+f8BLEXyGrtp0bkAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "\n", + "#format the book\n", + "import book_format\n", + "book_format.set_style()\n", + "\n", + "import numpy as np\n", + "from numpy.random import randn\n", + "import matplotlib.pyplot as plt\n", + "\n", + "N = 5000\n", + "a = np.pi/2. + (randn(N) * 0.35)\n", + "r = 50.0 + (randn(N) * 0.4)\n", + "xs = r * np.cos(a)\n", + "ys = r * np.sin(a)\n", + "\n", + "plt.scatter(xs, ys, label='Sensor', color='k', \n", + " alpha=0.4, marker='.', s=1)\n", + "xmean, ymean = sum(xs) / N, sum(ys) / N\n", + "plt.scatter(0, 50, c='k', marker='o', s=200, label='Intuition')\n", + "plt.scatter(xmean, ymean, c='r', marker='*', s=200, label='Mean')\n", + "plt.axis('equal')\n", + "plt.legend();" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "04459f52", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from numpy.random import normal\n", + "\n", + "data = normal(loc=0., scale=1., size=500000)\n", + "plt.hist(2*data + 1, 1000);" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "66406c20", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kf_book.book_plots import set_figsize, figsize\n", + "from kf_book.nonlinear_plots import plot_nonlinear_func\n", + "\n", + "def g1(x):\n", + " return 2*x+1\n", + "\n", + "plot_nonlinear_func(data, g1)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "5a9c2cec", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from numpy.random import normal\n", + "\n", + "data = normal(loc=0., scale=1., size=500000)\n", + "plt.hist(2**data + 1, 1000);" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "83e6271b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def g2(x):\n", + " return (np.cos(3*(x/2 + 0.7))) * np.sin(0.3*x) - 1.6*x\n", + "\n", + "plot_nonlinear_func(data, g2)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "23fac9f9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "N = 30000\n", + "plt.subplot(121)\n", + "plt.scatter(data[:N], range(N), alpha=.1, s=1.5)\n", + "plt.title('Input')\n", + "plt.subplot(122)\n", + "plt.title('Output')\n", + "plt.scatter(g2(data[:N]), range(N), alpha=.1, s=1.5);" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "3ace4a17", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "y = g2(data)\n", + "plot_nonlinear_func(y, g2)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "654f56d4", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "input mean, variance: -0.0016, 0.9979\n", + "output mean, variance: -0.1221, 2.3980\n" + ] + } + ], + "source": [ + "print('input mean, variance: %.4f, %.4f' % \n", + " (np.mean(data), np.var(data)))\n", + "print('output mean, variance: %.4f, %.4f' % \n", + " (np.mean(y), np.var(y)))" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "e059c799", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "output mean, variance: 0.0024, 2.2453\n" + ] + } + ], + "source": [ + "def g3(x): \n", + " return -1.5 * x\n", + "\n", + "plot_nonlinear_func(data, g3)\n", + "out = g3(data)\n", + "print('output mean, variance: %.4f, %.4f' % \n", + " (np.mean(out), np.var(out)))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "fd957000", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "linear output mean, variance: 0.1394, 7466.2332\n", + "nonlinear output mean, variance: -8.8796, 30427.2525\n" + ] + } + ], + "source": [ + "out = g3(data)\n", + "out2 = g2(data)\n", + "\n", + "for i in range(10):\n", + " out = g3(out)\n", + " out2 = g2(out2)\n", + "print('linear output mean, variance: %.4f, %.4f' % \n", + " (np.average(out), np.std(out)**2))\n", + "print('nonlinear output mean, variance: %.4f, %.4f' % \n", + " (np.average(out2), np.std(out2)**2))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "1e98cd60", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def g3(x): \n", + " return -x*x\n", + "\n", + "data = normal(loc=1, scale=1, size=500000)\n", + "plot_nonlinear_func(data, g3)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "ef959737", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import kf_book.nonlinear_internal as nonlinear_internal\n", + "\n", + "nonlinear_internal.plot1()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "24a0dada", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", 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"code", + "execution_count": 1, + "id": "e8f92979", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "\n", + "#format the book\n", + "import book_format\n", + "book_format.set_style()\n", + "\n", + "from kf_book.book_plots import set_figsize, figsize\n", + "import matplotlib.pyplot as plt\n", + "from kf_book.nonlinear_plots import plot_nonlinear_func\n", + "from numpy.random import normal\n", + "import numpy as np\n", + "\n", + "# create 500,000 samples with mean 0, std 1\n", + "gaussian = (0., 1.)\n", + "data = normal(loc=gaussian[0], scale=gaussian[1], size=500000)\n", + "\n", + "def f(x):\n", + " return (np.cos(4*(x/2 + 0.7))) - 1.3*x\n", + "\n", + "plot_nonlinear_func(data, f)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "a71d3021", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "N = 30000\n", + "plt.subplot(121)\n", + "plt.scatter(data[:N], range(N), alpha=.2, s=1)\n", + "plt.title('Input')\n", + "plt.subplot(122)\n", + "plt.title('Output')\n", + "plt.scatter(f(data[:N]), range(N), alpha=.2, s=1);" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "38e442fc", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import kf_book.ukf_internal as ukf_internal\n", + "ukf_internal.show_2d_transform()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "a18c5ca3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Difference in mean x=0.181, y=43.194\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "from numpy.random import multivariate_normal\n", + "from kf_book.nonlinear_plots import plot_monte_carlo_mean\n", + "\n", + "def f_nonlinear_xy(x, y):\n", + " return np.array([x + y, .1*x**2 + y*y])\n", + "\n", + "mean = (0., 0.)\n", + "p = np.array([[32., 15.], [15., 40.]])\n", + "# Compute linearized mean\n", + "mean_fx = f_nonlinear_xy(*mean)\n", + "\n", + "#generate random points\n", + "xs, ys = multivariate_normal(mean=mean, cov=p, size=10000).T\n", + "plot_monte_carlo_mean(xs, ys, f_nonlinear_xy, mean_fx, 'Linearized Mean');" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "b4ab2e5f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from filterpy.kalman import JulierSigmaPoints\n", + "\n", + "sigmas = JulierSigmaPoints(n=2, kappa=1)\n", + "from kf_book.ukf_internal import plot_sigmas\n", + "plot_sigmas(sigmas, x=[3, 17], cov=[[1, .5], [.5, 3]])" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "07b5fd9e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def fx(x, dt):\n", + " xout = np.empty_like(x)\n", + " xout[0] = x[1] * dt + x[0]\n", + " xout[1] = x[1]\n", + " return xout\n", + "\n", + "def hx(x):\n", + " return x[:1] # return position [x] \n", + "\n", + "from numpy.random import randn\n", + "from filterpy.kalman import UnscentedKalmanFilter\n", + "from filterpy.common import Q_discrete_white_noise\n", + "\n", + "ukf = UnscentedKalmanFilter(dim_x=2, dim_z=1, dt=1., hx=hx, fx=fx, points=sigmas)\n", + "ukf.P *= 10\n", + "ukf.R *= .5\n", + "ukf.Q = Q_discrete_white_noise(2, dt=1., var=0.03)\n", + "\n", + "zs, xs = [], []\n", + "for i in range(50):\n", + " z = i + randn()*.5\n", + " ukf.predict()\n", + " ukf.update(z)\n", + " xs.append(ukf.x[0])\n", + " zs.append(z)\n", + " \n", + "plt.plot(xs);\n", + "plt.plot(zs, marker='x', ls='');" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "5bab5039", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ukf_internal.show_sigma_transform(with_text=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "f655533b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Difference in mean x=-0.097, y=0.549\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from filterpy.kalman import unscented_transform, MerweScaledSigmaPoints\n", + "import scipy.stats as stats\n", + "\n", + "\n", + "#initial mean and covariance\n", + "mean = (0., 0.)\n", + "p = np.array([[32., 15], [15., 40.]])\n", + "\n", + "# create sigma points and weights\n", + "points = MerweScaledSigmaPoints(n=2, alpha=.3, beta=2., kappa=.1)\n", + "sigmas = points.sigma_points(mean, p)\n", + "\n", + "### pass through nonlinear function\n", + "sigmas_f = np.empty((5, 2))\n", + "for i in range(5):\n", + " sigmas_f[i] = f_nonlinear_xy(sigmas[i, 0], sigmas[i ,1])\n", + "\n", + "### use unscented transform to get new mean and covariance\n", + "ukf_mean, ukf_cov = unscented_transform(sigmas_f, points.Wm, points.Wc)\n", + "\n", + "#generate random points\n", + "np.random.seed(100)\n", + "xs, ys = multivariate_normal(mean=mean, cov=p, size=5000).T\n", + "\n", + "plot_monte_carlo_mean(xs, ys, f_nonlinear_xy, ukf_mean, 'Unscented Mean')\n", + "ax = plt.gcf().axes[0]\n", + "ax.scatter(sigmas[:,0], sigmas[:,1], c='r', s=30);" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "5d102ae1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from filterpy.kalman import KalmanFilter\n", + "from filterpy.common import Q_discrete_white_noise\n", + "from numpy.random import randn\n", + "\n", + "std_x, std_y = .3, .3\n", + "dt = 1.0\n", + "\n", + "np.random.seed(1234)\n", + "kf = KalmanFilter(4, 2)\n", + "kf.x = np.array([0., 0., 0., 0.])\n", + "kf.R = np.diag([std_x**2, std_y**2])\n", + "kf.F = np.array([[1, dt, 0, 0], \n", + " [0, 1, 0, 0],\n", + " [0, 0, 1, dt],\n", + " [0, 0, 0, 1]])\n", + "kf.H = np.array([[1, 0, 0, 0],\n", + " [0, 0, 1, 0]])\n", + " \n", + "kf.Q[0:2, 0:2] = Q_discrete_white_noise(2, dt=1, var=0.02)\n", + "kf.Q[2:4, 2:4] = Q_discrete_white_noise(2, dt=1, var=0.02)\n", + "\n", + "zs = [np.array([i + randn()*std_x, \n", + " i + randn()*std_y]) for i in range(100)] \n", + "xs, _, _, _ = kf.batch_filter(zs)\n", + "plt.plot(xs[:, 0], xs[:, 2]);" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "9cf3f6f7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "UKF standard deviation 0.013 meters\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def f_cv(x, dt):\n", + " \"\"\" state transition function for a \n", + " constant velocity aircraft\"\"\"\n", + " \n", + " F = np.array([[1, dt, 0, 0],\n", + " [0, 1, 0, 0],\n", + " [0, 0, 1, dt],\n", + " [0, 0, 0, 1]])\n", + " return F @ x\n", + "\n", + "def h_cv(x):\n", + " return x[[0, 2]]\n", + "\n", + "from filterpy.kalman import UnscentedKalmanFilter as UKF\n", + "\n", + "import numpy as np\n", + "\n", + "sigmas = MerweScaledSigmaPoints(4, alpha=.1, beta=2., kappa=1.)\n", + "ukf = UKF(dim_x=4, dim_z=2, fx=f_cv,\n", + " hx=h_cv, dt=dt, points=sigmas)\n", + "ukf.x = np.array([0., 0., 0., 0.])\n", + "ukf.R = np.diag([0.09, 0.09]) \n", + "ukf.Q[0:2, 0:2] = Q_discrete_white_noise(2, dt=1, var=0.02)\n", + "ukf.Q[2:4, 2:4] = Q_discrete_white_noise(2, dt=1, var=0.02)\n", + "\n", + "uxs = []\n", + "for z in zs:\n", + " ukf.predict()\n", + " ukf.update(z)\n", + " uxs.append(ukf.x.copy())\n", + "uxs = np.array(uxs)\n", + "\n", + "plt.plot(uxs[:, 0], uxs[:, 2])\n", + "print(f'UKF standard deviation {np.std(uxs - xs):.3f} meters')" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "2a478aff", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import kf_book.ekf_internal as ekf_internal\n", + "ekf_internal.show_radar_chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "7371b9a8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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VygUcu2jE+Pd/w4yhkZg7qnu7tIuIiIiIms+uIa+8vBwZGRni95mZmUhLS4O/vz/Cw8Mxd+5cvP766+jWrRsiIyOxcOFC6HQ6seJljx49kJiYiCeffBLLly+H2WzGnDlzMGnSJLGy5o4dO3D33Xfj2WefxcSJE8Vn9RQKhVh8ZcOGDUhKSsKpU6cAAN9//z3y8/Nx2223wd3dHVu3bsWbb74pVvkkQH95jrzmPJMHQAx529MLUGuxXnO4n95Qhbe3pONSmQnGKjMMVWYYq2thrDKLvUkA0FOnwsxhURjXW3vNfc0a0QVrD+Ygu7gKH+/OxOyRXW/wLK9IzyvDs2sO41ReGQDg0dvCcbagAinnivD5viy8MDbmmu/dfqoAuYZq+HspsOeFO5BvrMa+zGLsO1eMfZlFyCmpgp+nG27t7I9Bkf6Ii+yEHlofnCuswAPL9uBwVinmfHEI/31sQJsMk7RYBSSnF2D13gtIPn0J9fWF/DzdcF//UDx0axiiNT4AgKmDO+PV70/ghyN6/HfnOWw+lofF9/XG4K4Brd4uIiIiImoZu06hkJycjJEjRzZ4ferUqVixYgUEQcDLL7+M//3vfygtLcWQIUPwwQcfoHv37uK2xcXFmDNnDr7//nvI5XJMnDgRS5cuhbe3NwBg2rRpWLlyZYNjDB8+HMnJyQCAFStWYPr06WL1zM2bNyMpKQkZGRkQBAFdu3bFrFmz8OSTT0Iub/5NdnNLnHZEo95JxtlLFfhiRlyzbvBrLVbc+sYvKKk048snb0N8l06NbvfUqlRsPt540RwAGNotAE8N74LBXTo16zm7DYdz8JevfoenwgU75o9AsKrxULrnbCGWbE6HIAgIUrkjWKVEsI87glXuuFRuwrvbzqCm1opOXgoseaAPRvUIxpbjefi/Vanw91IgJekOKF0b79Ga8sl+7Dp9Cf83PApJY3s0WG+oNMPH3RVyecPzOXi+GJM/2gdTrRUPDgzFWxP7tPj5QkEQYBXqQp1VEFBaacY3qdn4cn+2OPwWqPsZPzwoHAk9gqFwbfz3/ZcT+Vi48ZgY9h8eFIYXx8W26HnLgrJq/Hq6EKlZJbivfwhu7Xz9yrdEREREzqi5+cJh5smTIqmGPEEQEPvSFlSZLdgxfwQiA7ya9b7nvv4d6w7lYPrtnfHyPQ0L36ReKMHEZXsglwGvje8Fjcodak83qNzdoPaoW250aKDVKmDi8rresIm3hOKdB/s22GZHegH+b1UqamqtTe7rjpggvDWxjzjXX63FiqFLdkBvqMa7k/phfL+QBu+5UFSB4W8nQyYDds4fifBO1x7WeS1bT+Tj/1YdhFUAZo/sggVjrt1reDVBELDmQDbe2nwKpZXmJrf19XTDgwPD8PCg8GZfz7JqM97eko5Vey9AEIBwf0/868G+GHidkGa2WJF6oQQ7T1/CzvRLOKE3iuvc3eRYOX0Q4qIa/yNAR1JWbcZPx/Lw8/F8lFWbYf1DyAaA/mG+mDggFL1D1K1eHIiIiIikhyHPAUg15JVW1qDfa1sBAKcWJTb7WbfNx/Lw1OpUhPp54NfnR9rc1AqCgIf+uxf7zxfjoYFheOuBPq3W3rTsUkx4/zcAwLezb0e/MF9x3c/H8zD7i0MwWwQk9AjGQ7eGId9YfdViQrmpFvf1D8HkuPAGN+Lv/nIG//7lNG7t7Ie1Tw1ucOw3fzyJ/+06hxHRgVgxfVCLz2HN/iy8sP4oAOCVe2Ix7fbIJrevNlvw0sZj+PpgTpPb3RLui0dvi8BdvbUtfmYx5WwR5q/9HRdLqyCXAU8N74K5Cd1tegEtVgF7zxVhw+GL2HIsD2WmWpt99AlVQy6TIS27FF4KF6yaEYdbwv1a1B57qi9Ys/7wRWw9kYdqc9N/OKjXLcgbEweEYkK/EGiaOQSaiIiInE9z84XDFl4hx1U/Ebq/l+KGgsGw7gFQusqRU1KFU3ll6KG98ou5/VQB9p8vhtJVjrl3dmvV9vYL88XEW0Kx7lAOXv3+ONbPGgyZTIZNR3Ixd00aaq0CxvXW4j+T+sHtBp95mzQoDEu3n8GB8yU4lWdEjObKOVWbLfj6YN1ciY/dFnFT5zBpUDgKykz419bTeHXTCRRX1ODR2yIQ1Mjw0+ziSsz6PBXHLhohlwHPjY7GQ7eGQS6TQS6rK4QjlwGucnmrFE2J79IJP80dile/O4F1h3LwQfJZJKdfwr8f6odaqxXfHr6I737PtSnk0slLgWHdAzG8eyCGdAtAgLcS1WYLnlh5AL9lFGHqJ/vx5ZO33XAFT0EQcFJfhlqrFV5KV3grXeGldIWnm0ujw2FvltliRUZBOU7lGZGWVYofjupRWH6l4muXQC/c1z8EnQO84CKTQS6XQS6TwUUOVJutl3v68nCmoBz/+OkUlmw+hdu7BuDx2yMxIjqQvXtERETUIgx5dMPqK2s2Z/qEq3kqXDG0WwB+OVmAn4/niyHPYhXw1ua6ojfTb49sVsXOG/V8YjR+OqbH4axSbEzLhQABz339O6wCcF//ELz9QJ8WFTUJVrljTM9g/Hg0D6v3XsDrE3qL6344okdppRkhvh4YER100+fw9B1dcanMhFV7L2Dp9gx8kHwWY3pq8OhtEbgtyh8ymQy7Tl/CM2sOo7TSDD9PN7z38C0Y0q3ti6Ko3N3wzoN9cWdsEJLWH8UJvRGJ7+7C1eME1B5uGNdHiwn9QjAwwq9B6HJ3c8GHUwZi2icHsP98MR79eB/WzLzNJjhfS2VNLdYfuoiVe87jTEF5o9t4K10xpGsAHouPaPKZztzSKqzZn4VNR/WAUDeU1d9LAV9PBfw83eCtdMOF4gqc1Jcho6AMZovtYIhOXgrc01eH+28Jue4wzLt6a2GsNuOHI3qsS83BwQsl+PVMIX49U4gBEX54bnR3DO7CojZERER0Yzhcsw1JdbjmqpTzWLjxOO6MDcaHUwbe0Hu/OpCFv647il4hKmx6eigAYO3BbCz45gjUHm7YtWAk1J5ubdFsvL8jA29vSYfK3RVlploIAvDQwDC8eX9vuNxEL8+ejEI88tE+eClcsO/vCfC+XHxkwvu/IS27FAvGRN9UZc+rWa0Cvj+Si1UpF3DwQon4etcgbwyM8MNXB7MhCHXDH5c9OgAhzZisvrUVlFXjr98cwY70S1C4ypHQIwgT+oVgeHTgNYvTXK2s2ozHPt6PtOxSBHgrsGZmPLoGeTe6bXZxJT5LOY+vDmTDeHluQQ83F/h6uqHcVIsKUy2sjfwL1yXQC4/dFoH7B4RC5e4Gq1XArxmFWL33AradzG/0Pdfio3RFD60KPbQ+GNY9EMO6B95wj3C9C0UVWL33AlbtvSAO9RzcpRPmj4nukMNXiYiIqHXxmTwHINWQ99bmU1iWfBZT4yPw6vheN/TewnITbn3jFwgCsOeFO+DvpcDIfyZDb6jG3+6KwcxhXdqo1XXDJ+/8905kF9f1RD52WwRevbfnTQ/jEwQBo/61E+cuVeD1Cb3w6G0ROHbRgLvf2w03FxlSkkYhwLv151c8qTdi9d4L2HD4IiprLOLrDw8Kw8v39LzpeQFvhiAIOHbRiPBOnlB73HhoN1Sa8fCHe3FCb0SwSompgzuj2mxFtdmCqhoLqswW5BursTujUOwtjOjkianxnfGngaHwcXcT21FttqLcVIs8QzW+PpiN9YdyUHH55+WpcMGYnhocyirBhaJK8fi3RfnjkbgIBPkoUVpZg5JKM0oqa1BaaYaxygyt2gM9tD7ooVUh1M+j1YdVFhir8f92ZODL/VliT+EdMUF4cGAobgn3a3SYLhEREUkfQ54DkGrIm7vmML5Ny8ULY2Pw1PAbD2UPLNuDgxdK8Oq9PVFttmDxT6egU7tj+/wRbR5Mdp8pxLyv0/DAgFAsGBPdajfnH+/OxKJNJxCj8cFPzw5F0vqjWHMgG/f21WHpw/1b5RjXUlZtxreHL2LL8XyM76fDnwaGtenx2ktxRQ0m/S8Fp/MbH35Zb2i3AEy/vTNGdA9qVmAvqzZjw+GL+CzlAjKuGtrpo3TFxAGhmBwXjm7BPjfd/taQU1KJpdvOYN2hi7Bc1b0Y4uuBWyL8cEu4L/qH+6F3iPqmeqOJiIioY2DIcwBSDXkP/jcF+zOLsfTh/ri3r+6G3//fnWex+KdT6Bvmi8xL5TBW1+Kff+qLBwaEtkFrGxIEodV7XgyVZsQt/gXVZis+nXYrZn2eimqzFWufiue8bzfhUpkJy3eehaHKDA83F3goXODu5gIPNxd4Klxwe9dO6BrUskAmCAL2nivG1hP56BbsjfH9dPBUOOZjyuculWPFnvPYn1mM9Pwy/PFf7agALzw9qivu6aNr0bOlRERE1DEw5DkAqYa8IW9tR05JFb55Kv66c6I1JrOwAiP/mSx+Hx3sgx+fHdrheyIWrP0da1NzoPZwg6HKjOhgH2yeO5QVEqlVlVWbcSTHgEMXSnAoqwQHz5eIU1JEBnjh6Tu64t6+DHtERERSxCkUqE1YrQLyjXVTKGhbWNQjMsALXYO8xaFyfx0b3eEDHgA8elsE1qbmwFBVN/H4o/ERDHjU6nzc3XB71wDc3rWu6ma5qRafpZzHh7vOIbOwAvO+/h3vbc/AnJFdMSjSH64uMrjIZXCTy+HqIoPCVd6sAjhERETUcTHk0Q0pLDfBbBEglwHBPi0vJpLYU4P/V5CBQZ39MbIVphdwBH3DfNEnVI0jOQZ4KVxwX/8QezeJnIC30hV/HtEVU+I724S959b+3uj2Mhkwvq8O/5jYx67FeVqT3lCF73/PRbDKHaNjNa0y/+PVLpWZcDirBCF+HojVqvjHGyIicngMeXRDLpbWVaYMVrnf1HCwWSO6QOXhign9QiR1w/TU8C748+eH8Fh8Z3EqBaL2cHXYW5VyAav3XkBxRQ1qrVabufwEAfg2LRfniyrx0dSBbVL5tb1kFVVi2c6z+CY1WzxHb6UrxvXWYuKAUNza2a/Bvy+GKjNO6o04nV8Gd1cXaNTu0KrdofX1ED+z5aZa7M8swu4zRdhzthCn8srE94f6eWB0rAajewbj1s7+khiFQERE0sNn8tqQFJ/J+/GoHn/+/BBuCffF+j/fbu/mOKR8YzUCvZU3PTUDUWsRBAEWq4Baq4BDF0ow6/NDMFSZEebvgU+n3dri4jX2klFQjg+SM7AxLVesOjogwg/5xmrklFSJ24X5e+C+y39IOqk34oTeaLP+j3yUrgjwUSK7uBK1f5gssWuQN3JKKsX5CwHA30uBhB5BmBwXgb5hvq17kkRERI1g4RUHIMWQ99Gv5/D6Dycxro8W7z9yi72bQ0QtcPZSOaZ/egBZxZVQubti+WMDMLhLgL2b1aT6aqir917Aj8f0YoXR4d0DMeeOrri1sz+sVgH7zxdj/aEc/Hg0D+WXC9L8UaifB2I0Pqi1CsgzVCO3tArGatttw/09Lz/72AnxUZ3QyVuJqhoLdp25hJ+P52PbqXyUVtY9fyuTAY/GRWBBYjRU7jc+LyQREVFzMeQ5ACmGvMU/ncR/d57D47dH4qV7Yu3dHCJqoaJyE2auSkXqhRK4ymX4x8Q+7TaNyY0oKKvGutSL+OpAFs5fNWH9nbHBePqOrugT6tvo+6pqLNhyPA9bjufBW+mKWJ0KPbR1i9qjYRCrMNVCb6hGgbEaYf6eCPP3bLJdtRYr9p8vxlcHsrExLRcAEOSjxMv39MRdvTWSGoZORESOgyHPAUgx5M1f+zu+Sc3BgjHRmD2yq72bQ0Q3odpswXNrf8cPR/QAgIQeQRgRHYTh3QOvG3LaisUqILe0CsdzjVh/KAfbThWIQzK9FC64t18IpsRHoIfWcf5N3ZNRiBe/PYZzhRUAgBHRgVg0vpfdfoZERCRdnEKB2kRxRQ0AoJOXws4tIaKb5e7mgvcm9UeEvyc+SD6LX04W4JeTBQDqpjoZ1i0AQ7oFwlUug95QjTxjNfIMVcgzmlBYZkLfMF9MG9wZ0ZqWPdNXU2vFT8f0OKkvQ2ZhOc5dqsCFokrUWKw2290S7otJg8IxrrcWXg5Y0Ghw1wD8+OxQLN95Fh/sOIvk9Eu489870TfUFwLqhpoKAmC9/DfVvmG+eOjWMMRoHCeoEhGRtLAnrw1JsSdv/P/bjd9zDPhwykDcGRts7+YQUSs5nmvA9pMF2HXmEg5llYq9Z81xW5Q/pg3ujIQewc2qumu1Cvju91y8szUd2cUNC6EoXOSI6OSJod0CMWlQGLoHd5zCMGcvlePFDceQcq7outv2DfPFQwPDcE9fLXz4LB8RETUDh2s6ACmGvCFvbUdOSRXWzRqMARF+9m4OEbUBY7UZezKKsOvMJezPLIbCRQ6t2h3BandoVXX/9VG64vsjudhyPF8MhCG+Hph8WzhGx2oQGeDVYHoBQRCQfPoSlmxOx0m9EQAQ6KPE2F4aRAV4ITLQG1EBXtD5enToqQkEQUDKuSIUlddALpNBLqsrziKTyVBttmDzsTz8cjJfnPbBw80F4/po0S/MF15KF3gpXOGtdIWnsu6/4f6eULi2fMoaIiKSDoY8ByDFkNdj4WZUmS3YuWAEIjp52bs5RGRnuaVVWL33AtYcyBaHcwOA0lWOaI0PYjQ+iNGooFW7Y8We89iXWQygbrqCp0Z0wfTbO8NT4XhDMNtaYbkJGw5dxFcHs5FRUN7ktj7urkjoEYzEXhoM7x4omUnsqW0JgoDfMopwrrAcZdW1MFabUVZdi7LqWpRXm6FRe+C2KH/cFtUJwSp3ezeXiJqJIc8BSC3kVdbUIvalLQCAo6+M5vAiIhJVmy34/vdcrD2Yg2O5BlTWWBrdTuEqx7TBnTFreBf48dleCIKAQ1kl2JiWi3xjNSpMFpSbalFZU4sKkwWllTWouOpn6eHmgpExgUjspcWomCCHfEaR7O/cpXK8tPE4dmcUNmv7yAAv3Bblj7jIThjaLQCdvJVt3EIiaimGPAcgtZCXXVyJoUt2QOEqR/qiRJYIJ6JGWa0CsoorcVJvxMm8MpzUG3G+sAIDIvzwzKhu0Pl62LuJHYbVWhcCfzqWh83H8nCx9MozjD5KVzwwMBSP3RaBqEBvO7aSHEW12YIPdmRg+c5zqLFYoXCVY0T3QPh6usHH3Q3eSlf4uNcNA84oKMfezCKcyDXi6kdwXeUy3BkbjAdvDcOwboHXHDpttQrILKpArUWAn5cb/DwVcGvGM7lEdHMY8hyA1ELe79mlGP/+b9Cq3ZGSNMrezSEiciqCIODoRQN+OpaHH47okVV8Zd7Aod0CMDW+M0bGBHXo5xmdmSAIyCmpwqGsEhzOKkW12QJ3Nxd4KFzg4eYCT4UL3N1c0MlLAa2vB3RqdwR4KyG/fL13pBfg5Y3Hxd+L4d0D8dr4ntd9tMJQZcbB88XYl1mM3WcKceLy87IAoFW7408DQvGngWHwVroiLbsUh7NKcDi7FGnZpSirrrXZl4/SFX5eCvh5KdA3VI2Hbg1DT526lX9SRM6NIc8BSC3kbT+Vj8dXHESvEBU2PT3U3s0hInJaVquAXWcuYVXKBWxPL0D9/8lD/TwQH9UJnbyVCPBWoJO3Av5eSnTyUqB7sE+bFHARBAEXS6ug9nBr1jB+QRCQXVy3vdrTuYf9H881IOVsEVIvlCD1QgkKykw39H43Fxk0anf4KN3EcKZRuePle2KR2EvTohE3p/KM+OpANjYcvojSSnOT23pcDqGllTW4VkHevqFqTBoUjnv66uDdzOHFNbVW/HwiD9+l5cLPU4HpQzpzyhGiyxjyHIDUQt7ag9lY8M0RDO8eiJWPD7J3c4iICEBWUSU+31dX/MZQde2b8hBfD/x9XA+MbeHNfz2LVUB6Xhn2ZxZh//li7M8sQWG5CS5yGXqHqHF7104Y3CUAAyL8xCIxuaVV+C2jEL9lFGLP2SIUlJkgkwGxWhXiozrhtqhOGBTlD5WDPettqDSjpLIGMhkgv/wzq6+UWlJRg4ulVcgVl7q5JKMCvDBpUDhuCfdt9OcsCAJ2ZxTi/R0Z2Huu2Gadq1yGniFq3BLui05eClSZLaissaDabEFVTd3XheUm5JZWo6Cs2iZYuchlePz2zng2oXuzw1RTTLUW/Hw8H18fzMbujEIIAhAV6IX+YX7oH+6L/uG+iA72gauLHFarAGO1GcUVNSiprEG+0YQfjurx8/E8sYqsl8IF9/bTYXSsBt2CvRHi69Hg55NdXIkv92fh64PZKCyvsVk3vHsg/m94FOKjOl3z53rpckju5K3s0D3a5aZaZF6qwNlL5Th3qRznCitQU2uF9+Whtt5KV3hdHnqrU3ugd6gaQT5KPkbjJBjyHIDUQt7ynWfxj59O4f7+IfjXQ/3s3RwiIrpKVY0Fv5zMR3ZJJYrKa1BUbkJRRQ0Ky2uQU1IpDq27LcofL93dE7G65v1/SRAEnCuswK+nL+HXM4XYf764wTA9V7kMtX/oylG4ytEvzBeXykzILKywWefmIhNv/uvJZUCvEDX6hvqia5A3ugV5o2uwNwK92//m9VKZCf9v+xl8sT+rQTubKzrYBw8PCsN9/UOh9nSD1Srg5xP5+CA5A0dyDADqfg7DuwdiYGd/DIjwQ+8QdbOrp9ZarMgvM0FfWoV8owk9tD5t9mxm0eUQ7+t5Y8WSispNWHcoB2v2Z+PcH34HvBQuddc52AeRAV7Yn1mMXWcuib3SQT5K/GlgKM4XVeKno3ox0PYOUWPmsChEBXrhpL7umd/6peRyz6OLXIZAbyWCVUoEq9yhUbtDq/ZAiJ8HQv08EOrrYTPUtdpsQXZxJS4UVeJ8UQWyiyvh5iJHeCdPhPl7ItzfE6F+HlC6tm5l2wpTLc4UlCM9z4j0vHKczi9DRkE58ozVN7yvAG8leoeo0CtEjV4havgoXVFcWYOSihoUV9T9saK4ogZKVzlC/erOJ9TPA6H+ngj2UTZrjlNyDAx5DkBqIe/NH0/if7vO4cmhkfj7uFh7N4eIiJqpsqYW/915Dst3noWp1gq5DHh4UDjm3dm9QSXFWosVxZU1OHi+BLsuB7urC74AgLfSFbdE+CEu0h+3dvZHn1A1iipqkHK2CHsyCvHb2ULkG68MPZTLgD6hvri9ayfc3iUAt0T4wVhlRsq5Iuw9V4SUs0U4X1SJxqg93NA1yBsatTtU7m5Qebhe/q8bVO6u6Bfm22pT+pRVm/HhrnP4aHemWCHWS+ECAYAgAFZBgAAAAqD2dIPO1wMhvu7QqT2g8/VAgI8Su05fwqYjuag2WwHUTSeS2EuD47lGcboMdzc5HhkUgSeHRUKrln4hIkEQsD+zGGtTc3AkpxTnLlU0+KNAvaHdAjA5LgKjegSJhVwuFFXg492Z+PpgtvhzbUx95921ho5eTeEqR4ivB6rNFugN1w9VMlndUNiuQd7oF+aLPqG+6BumRpDPleknBEGA3lCNIzkGHL1YiqMXjTBWmS/PlXl5zkzIABmgN1Qhu7jqmscL8FYgKsAbUYFeiAr0gqfCFRWmWpSb6qbBqLj838zCCpwpKGvWOV+Lq1yGHloVEntpcFdvLSIDOEWWI2PIcwBSC3nzvk7D+kMX8dfEGMwa0cXezSEiohuUU1KJf/x0CpuO6AHUzcHXS6eGocosLuWm2gbvU7jIcWukH4Z1C0R8l06I1aqa/Mu/IAjILKzAwfMl8PdSNGsopt5Qhf2ZxTipr+vNyCgoQ1ZxZbNuXgdF+uNPA0JxV29ti6aVMNVasHpvFt7fkSHO99g3VI2/jo3B4C4BN7w/Q5UZG9Mu4ot9WTiVVya+7uPuimmDO2Pa4M5OPU2B2WLFhaIKnMkvx+n8cpy9VI4QPw9MujWsycBeXFGDz1LOY/XeLNTUWtBDq0IPrQqxWhVitD7oHuwDV7kMRRU1yDNUI99Yt+QZq5FbWo2LJVXIKalEnrG6we+Vt9IV4f6e6BxQ13tXa6mrEpxdXIms4sprTgujU7ujT6gvTLUWHL1oaDDM9HoCfZSIDvZBtMYH0cE+6BrsjS4B3jf0vGpVjQUn9EYczzXgaI4Bx3ONMNVa0MlLCf/LhXD8L1dArTZbkFNSdXmpxMXSqga91TEaH4zrrcXY3lp0DXL8yr0WqwBBEJymN5IhzwFILeRN/WQ/dp6+hCUP9MGDA8Ps3RwiImqh/ZnFePX74ziea7zmNl2DvDGsWyCGdQ9AXGQneCjafxL2arMFmYUVyCgoR1G5CcbqWhgvh1FjtRmXykw4nF0qDvHzUrhgXB8tHhwYhgERftcd5llYbsJXB7Lx+d4LyL3cmxMV4IUFY6JbXLjkaoIg4HB2KX44oodG5Y5Jg8I4x2wrEQShxdfHbLEiz1CNnJIqKFzl6NzJE/5eimvuTxAEFFfU4EJxJU7kGvF7dil+zynFmYJy/PEu2lUuQ/dgH/QJVV9+Vs4dgiDAKtTtR0Bdj7C/lwLRwT52D/tWqwC9sRq7Tl/Cj0f12HO2CJarEnDdHIqdcFuUP26L6oRglXsTe2sfhkozDmWXIPV8XcGitOxSVJkt8FG6wtfLDb4eCvh6usHXU4E+IWo8Ehfe4jlFq80WHM81ILu4ChP6h7TymbQMQ54DkFrIu+e93Th60YCPpw7EqB7B9m4OERHdBItVQHJ6AcpNtXWVLi8vvp4KqNxdO8xfxfWGKqw/dBFrD2bbDPnUqNxxe9cADOlWN0Q06PLNaf0E9KtSLuDHo3mosdQN/wtWKTE3oTv+NCC0w5w72Ve5qRbHLhpw7KIBClc5eoeo0UOravZzlY6opKIGW0/k48djevyWUdigly8qwAtxUZ3QJdALLnIZXOUyuMjll/8rQ6CPEjFaH5thrM0lCALMFgG1VitKK83IM1Yj31DXE5tnrEaeoRonco04c3nYc3P5eynw1PAoPHZb5+v+saqgrBqHLle7Tb1QgmMXjeKck0dfGd3qz2W2BEOeA5BayBu8eBtyDdX4dvbt6Bfma+/mEBERiQRBwIHzJVh7MBs/HNU3GF7XPdgbgyL9kXqhFCevmguub5gvHrstAnf30Xbom3Oi1maoMuNAZjH2nivC3swiHM81Nui5vJYAbwViNCr00Pqgh1YFhasceYa6YbN6QxX0hrr/llfXwmwVYLm8NFdUgBduifDDgMtLJy8FSqvMKK00w1BVg5IKMwrKTPjqQJb4x58AbyVmjeiCyXHhcHdzgdUq4HRBGQ5e7hE8eKG40eckA7wVuCXcD6/f16tF4bW1MeQ5ACmFPEEQELNwM0y1Vvz6/EiE+Xvau0lERESNqjZbkHqhBLsvT9tw9KLB5uZU6SrHvX11eCw+An1Cfe3WTqKOpD707T9fjEtlJtRaBVisVtRa6gKa2Sogp6QS5wsrbqoQDFA37DVY5Y5glRIatTuCVe7Qqt0RGeBdN8VIM4e51lqs2HD4IpZuPyMGuGCVEjEaFQ5nlcD4h0rBMlldZdwBVwXIcH9Ph5qeokOEvF27duHtt99Gamoq9Ho9NmzYgAkTJojrBUHAyy+/jA8//BClpaW4/fbbsWzZMnTr1k3cpri4GE8//TS+//57yOVyTJw4Ee+++y68va88KHrkyBHMnj0bBw4cQGBgIJ5++mk8//zzTbYtKysLs2bNwo4dO+Dt7Y2pU6di8eLFcHVt/pheKYW8clMter28BQBw4rUx8FTc/Bw8RERE7aGkogYp54pw4HwxQnw98MCA0BueDoCImqeqxoLT+WU4lWcUp7mwWAVofT2gU1+Z0kKrdofaww2uLjK4udQN+XR1kcPNRQZ3VxdxiovWYLZY8U1qDv7f9gybasGeChf0C/PFwAg/DOjsj/7hvg43X+cfNTdf2PVOvaKiAn379sXjjz+O+++/v8H6JUuWYOnSpVi5ciUiIyOxcOFCjBkzBidOnIC7e1136eTJk6HX67F161aYzWZMnz4dM2fOxBdffAGg7gcxevRoJCQkYPny5Th69Cgef/xx+Pr6YubMmY22y2KxYNy4cdBoNNizZw/0ej2mTJkCNzc3vPnmm233A3FgxZerRbm7yRnwiIioQ/HzUuCu3lrc1Vtr76YQSZ6HwgV9w3zR14Ee7XFzkePhQeG4/5YQ/HBEj7LqWtwS7oceWh/JPoPrMMM1ZTKZTU+eIAjQ6XR47rnnMH/+fACAwWBAcHAwVqxYgUmTJuHkyZOIjY3FgQMHMHDgQADA5s2bcddddyEnJwc6nQ7Lli3D3//+d+Tl5UGhqPur3QsvvIBvv/0Wp06darQtP/30E+6++27k5uYiOLiuwMjy5cvx17/+FZcuXRL3cz1S6sk7lFWC+z/YgxBfD/z2wh32bg4RERERkdNpbr5w2OiamZmJvLw8JCQkiK+p1WrExcUhJSUFAJCSkgJfX18x4AFAQkIC5HI59u3bJ24zbNgwm2A2ZswYpKeno6SkpNFjp6SkoHfv3mLAq3+P0WjE8ePHr9lmk8kEo9Fos0hFfU9egDeHtxAREREROTKHDXl5eXkAYBO06r+vX5eXl4egoCCb9a6urvD397fZprF9XH2Mxo59o+8BgMWLF0OtVotLWJh05pIrqjABqCtDS0REREREjsthQ15HlJSUBIPBIC7Z2dn2blKrKaqo68mz96SdRERERETUNIcNeRqNBgCQn59v83p+fr64TqPRoKCgwGZ9bW0tiouLbbZpbB9XH6OxY9/oewBAqVRCpVLZLFJRdHm4Zif25BEREREROTSHDXmRkZHQaDTYtm2b+JrRaMS+ffsQHx8PAIiPj0dpaSlSU1PFbbZv3w6r1Yq4uDhxm127dsFsNovbbN26FdHR0fDz82v02PHx8Th69KhNgNy6dStUKhViY2Nb9Tw7imKxJ48hj4iIiIjIkdk15JWXlyMtLQ1paWkA6oqtpKWlISsrCzKZDHPnzsXrr7+O7777DkePHsWUKVOg0+nECpw9evRAYmIinnzySezfvx+//fYb5syZg0mTJkGn0wEAHnnkESgUCjzxxBM4fvw4vvrqK7z77ruYN2+e2I4NGzYgJiZG/H706NGIjY3FY489ht9//x1btmzBiy++iNmzZ0OpdM7hioXl9c/kOef5ExERERF1FHad8OzgwYMYOXKk+H198Jo6dSpWrFiB559/HhUVFZg5cyZKS0sxZMgQbN68WZwjDwA+//xzzJkzB6NGjRInQ1+6dKm4Xq1W4+eff8bs2bMxYMAABAQE4KWXXrKZI89gMCA9PV383sXFBZs2bcKsWbMQHx8PLy8vTJ06Fa+99lpb/jgcGnvyiIiIiIg6BoeZJ0+KpDRP3m1vbkOesRrfzbkdfUJ97d0cIiIiIiKn0+HnySPHIQiCOIUCq2sSERERETk2hjy6rjJTLcyWug5fVtckIiIiInJsDHl0XfXTJ3gpXODu5mLn1hARERERUVMY8ui6ijlUk4iIiIiow2DIo+sqvNyT58+hmkREREREDo8hj66rfvqEAE6fQERERETk8Bjy6LqKxInQGfKIiIiIiBwdQx5dV5E4ETqfySMiIiIicnQMeXRd9dU1OX0CEREREZHjY8ij6yoWe/IY8oiIiIiIHB1DHl1XofhMHodrEhERERE5OoY8ui6xJ4/DNYmIiIiIHB5DHjVJEAQO1yQiIiIi6kAY8qhJxqpa1FoFAJxCgYiIiIioI2DIoyYVVtQ9j+ejdIXS1cXOrSEiIiIiouthyKMmidMncKgmEREREVGHwJBHTSq+3JPHidCJiIiIiDoGhjxqUuHlnjw+j0dERERE1DEw5FGT6itrBnC4JhERERFRh8CQR00qEidCZ8gjIiIiIuoIGPKoSUXiROh8Jo+IiIiIqCNgyKMmsbomEREREVHHwpBHTSpmTx4RERERUYfCkEdNKqrgM3lERERERB0JQx5dk9UqsLomEREREVEHw5Dn5E7qjbjnvd3YfaawwbrSKjOsQt3XfuzJIyIiIiLqEBjynNzmY3k4etGAf2w+2WBd8eWhmmoPN7i58FeFiIiIiKgj4J27k6uutQAAjl00Ij2vzGZdIStrEhERERF1OAx5Ts5ktopfrzuUY7PuSmVNhjwiIiIioo6CIc/JmWqvhLwNhy+i1nLl+6LyuuGanD6BiIiIiKjjYMhzciazRfz6UpkJv2ZcKcBSP1zTn8M1iYiIiIg6DIY8J1ffk+etdAUArEu9MmRTnD6BwzWJiIiIiDoMhw95ZWVlmDt3LiIiIuDh4YHBgwfjwIED4vr8/HxMmzYNOp0Onp6eSExMxJkzZ8T158+fh0wma3RZu3btNY87bdq0BtsnJia26bnag+ly4ZUJ/XUAgJ9P5MNQZQbAidCJiIiIiDoihw95M2bMwNatW7Fq1SocPXoUo0ePRkJCAi5evAhBEDBhwgScO3cOGzduxOHDhxEREYGEhARUVFQAAMLCwqDX622WV199Fd7e3hg7dmyTx05MTLR535dfftkep9yu6nvybgn3Q3SwD2pqrfjhiB4AUCRW1+QzeUREREREHYWrvRvQlKqqKqxbtw4bN27EsGHDAACvvPIKvv/+eyxbtgxTpkzB3r17cezYMfTs2RMAsGzZMmg0Gnz55ZeYMWMGXFxcoNFobPa7YcMGPPjgg/D29m7y+EqlssF7m2IymWAymcTvjUZjs99rL/XVNd3dXDBxQAje/PEU1h3KwSNx4ShidU0iIiIiog7HoXvyamtrYbFY4O7ubvO6h4cHdu/eLQaqq9fL5XIolUrs3r270X2mpqYiLS0NTzzxxHWPn5ycjKCgIERHR2PWrFkoKipqcvvFixdDrVaLS1hY2HWPYW/1wzWVrnJM6BcCuQxIvVCCc5fKr0yhwJ48IiIiIqIOw6FDno+PD+Lj47Fo0SLk5ubCYrFg9erVSElJgV6vR0xMDMLDw5GUlISSkhLU1NTgrbfeQk5ODvR6faP7/Pjjj9GjRw8MHjy4yWMnJibis88+w7Zt2/DWW29h586dGDt2LCwWyzXfk5SUBIPBIC7Z2dk3df7tofqqnrwglTuGdQ8EAKxNzUFJ5eXqmuzJIyIiIiLqMBw65AHAqlWrIAgCQkJCoFQqsXTpUjz88MOQy+Vwc3PD+vXrcfr0afj7+8PT0xM7duzA2LFjIZc3PLWqqip88cUXzerFmzRpEu6991707t0bEyZMwKZNm3DgwAEkJydf8z1KpRIqlcpmcXRX9+QBwMRbQgEAX+zLgiAAMhng5+lmt/YREREREdGNcfiQ16VLF+zcuRPl5eXIzs7G/v37YTabERUVBQAYMGAA0tLSUFpaCr1ej82bN6OoqEhcf7VvvvkGlZWVmDJlyg23IyoqCgEBAcjIyLjpc3Ik9YVXlK4uAIA7Y4Ph4+4qVtj081TA1cXhf02IiIiIiOiyDnP37uXlBa1Wi5KSEmzZsgXjx4+3Wa9WqxEYGIgzZ87g4MGDDdYDdUM17733XgQGBt7w8XNyclBUVAStVtvic3BEYshzq/tVcHdzwd19dOJ6DtUkIiIiIupYHD7kbdmyBZs3b0ZmZia2bt2KkSNHIiYmBtOnTwcArF27FsnJyeI0CnfeeScmTJiA0aNH2+wnIyMDu3btwowZMxo9TkxMDDZs2AAAKC8vx4IFC7B3716cP38e27Ztw/jx49G1a1eMGTOmbU+4nZnMtsM1AeCBASHi16ysSURERETUsTj0FAoAYDAYkJSUhJycHPj7+2PixIl444034OZW95yYXq/HvHnzkJ+fD61WiylTpmDhwoUN9vPJJ58gNDS0Qfirl56eDoPBAABwcXHBkSNHsHLlSpSWlkKn02H06NFYtGgRlEppVZqs/sNwTaBuzrzIAC9kFlagkzdDHhERERFRRyITBEGwdyOkymg0Qq1Ww2AwOGQRllqLFV3//hMAIO2lO+HreSXQffTrObz+w0n8JaE7nk3oZq8mEhERERHRZc3NFy0ervnrr7/i0UcfRXx8PC5evAigrhLmteanI8dT/zweYNuTBwBPDInEulmD8X/DGxawISIiIiIix9WikLdu3TqMGTMGHh4eOHz4sDgpucFgwJtvvtmqDaS2c3XIU7ja/irIZDIMiPCDu5vLH99GREREREQOrEUh7/XXX8fy5cvx4Ycfis/GAcDtt9+OQ4cOtVrjqG3Vz5Hn5iKDi1xm59YQEREREVFraFHIS09Px7Bhwxq8rlarUVpaerNtonZiMjcsukJERERERB1bi0KeRqNpdFLw3bt3NzoJOTmm6ss9ee5uDj+TBhERERERNVOL7u6ffPJJPPvss9i3bx9kMhlyc3Px+eefY/78+Zg1a1Zrt5HaCHvyiIiIiIikp0Xz5L3wwguwWq0YNWoUKisrMWzYMCiVSsyfPx9PP/10a7eR2ohJnCOPPXlERERERFLRopAnk8nw97//HQsWLEBGRgbKy8sRGxsLb2/v1m4ftaH6wit/rKxJREREREQdV4tCXj2FQoHY2NjWagu1M3G4JqdJICIiIiKSjGaHvPvvv7/ZO12/fn2LGkPtq77wCodrEhERERFJR7Pv7tVqtbioVCps27YNBw8eFNenpqZi27ZtUKvVbdJQan31PXmc8JyIiIiISDqa3ZP36aefil//9a9/xYMPPojly5fDxaUuIFgsFvz5z3+GSqVq/VZSm2DhFSIiIiIi6WnR3f0nn3yC+fPniwEPAFxcXDBv3jx88sknrdY4alsmDtckIiIiIpKcFt3d19bW4tSpUw1eP3XqFKxW6003itrHlZ48DtckIiIiIpKKFlXXnD59Op544gmcPXsWgwYNAgDs27cP//jHPzB9+vRWbSC1nSvVNdmTR0REREQkFS0Kef/85z+h0WjwzjvvQK/XAwC0Wi0WLFiA5557rlUbSG2nvrqmO3vyiIiIiIgko0UhTy6X4/nnn8fzzz8Po9EIACy40gGxJ4+IiIiISHpuajJ0gOGuI2PhFSIiIiIi6WlRyIuMjIRMJrvm+nPnzrW4QdR+WHiFiIiIiEh6WhTy5s6da/O92WzG4cOHsXnzZixYsKA12kXtgPPkERERERFJT4tC3rPPPtvo6++//z4OHjx4Uw2i9lNtvjxck8/kERERERFJRqve3Y8dOxbr1q1rzV1SG6rvyWN1TSIiIiIi6WjVkPfNN9/A39+/NXdJbcjEnjwiIiIiIslp0XDN/v372xReEQQBeXl5uHTpEj744INWaxy1LRZeISIiIiKSnhaFvPHjx9uEPLlcjsDAQIwYMQIxMTGt1jhqWyy8QkREREQkPS0Kea+88korN4PsgfPkERERERFJT4vu7l1cXFBQUNDg9aKiIri4cOhfR2EyXy684sZrRkREREQkFS0KeYIgNPq6yWSCQqG4qQZR+xF78lh4hYiIiIhIMm5ouObSpUsBADKZDB999BG8vb3FdRaLBbt27eIzeR1IfU8eC68QEREREUnHDYW8f//73wDqevKWL19uMzRToVCgc+fOWL58eeu2kNoMC68QEREREUnPDYW8zMxMAMDIkSOxfv16+Pn5tUmjqO1ZrQJqLAx5RERERERS06K7+x07drRbwCsrK8PcuXMREREBDw8PDB48GAcOHBDX5+fnY9q0adDpdPD09ERiYiLOnDljs48RI0ZAJpPZLE899VSTxxUEAS+99BK0Wi08PDyQkJDQYL8dWX0vHsDCK0REREREUtLsnrx58+Zh0aJF8PLywrx585rc9l//+tdNN6zejBkzcOzYMaxatQo6nQ6rV69GQkICTpw4AZ1OhwkTJsDNzQ0bN26ESqXCv/71L3G9l5eXuJ8nn3wSr732mvi9p6dnk8ddsmQJli5dipUrVyIyMhILFy7EmDFjcOLECbi7u7fa+dlLfdEVgD15RERERERS0uyQd/jwYZjNZgDAoUOHbCZDbytVVVVYt24dNm7ciGHDhgGom6Pv+++/x7JlyzBlyhTs3bsXx44dQ8+ePQEAy5Ytg0ajwZdffokZM2aI+/L09IRGo2nWcQVBwH/+8x+8+OKLGD9+PADgs88+Q3BwML799ltMmjSplc+0/dX35LnIZXB1YcgjIiIiIpKKZoe8HTt2iF8nJye3RVsaqK2thcViadBz5uHhgd27d+Ohhx4CAJv1crkcSqUSu3fvtgl5n3/+OVavXg2NRoN77rkHCxcuvGZvXmZmJvLy8pCQkCC+plarERcXh5SUlGuGPJPJBJPJJH5vNBpv/KTbyZXKmgx4RERERERS0qI7/McffxxlZWUNXq+oqMDjjz9+042q5+Pjg/j4eCxatAi5ubmwWCxYvXo1UlJSoNfrERMTg/DwcCQlJaGkpAQ1NTV46623kJOTA71eL+7nkUcewerVq7Fjxw4kJSVh1apVePTRR6953Ly8PABAcHCwzevBwcHiusYsXrwYarVaXMLCwm7yJ9B2xDnyGPKIiIiIiCSlRXf4K1euRFVVVYPXq6qq8Nlnn910o662atUqCIKAkJAQKJVKLF26FA8//DDkcjnc3Nywfv16nD59Gv7+/vD09MSOHTswduxYyOVXTm3mzJkYM2YMevfujcmTJ+Ozzz7Dhg0bcPbs2VZta1JSEgwGg7hkZ2e36v5b05XpE1h0hYiIiIhISm5oCgWj0QhBECAIAsrKymyGSVosFvz4448ICgpq1QZ26dIFO3fuREVFBYxGI7RaLR566CFERUUBAAYMGIC0tDQYDAbU1NQgMDAQcXFxGDhw4DX3GRcXBwDIyMhAly5dGqyvf3YvPz8fWq1WfD0/Px/9+vW75n6VSiWUSmVLTrPdVZvrevLc3diTR0REREQkJTcU8nx9fcUpCLp3795gvUwmw6uvvtpqjbual5cXvLy8UFJSgi1btmDJkiU269VqNQDgzJkzOHjwIBYtWnTNfaWlpQGATYC7WmRkJDQaDbZt2yaGOqPRiH379mHWrFk3fzIOgD15RERERETSdEMhb8eOHRAEAXfccQfWrVsHf39/cZ1CoUBERAR0Ol2rNnDLli0QBAHR0dHIyMjAggULEBMTg+nTpwMA1q5di8DAQISHh+Po0aN49tlnMWHCBIwePRoAcPbsWXzxxRe466670KlTJxw5cgR/+ctfMGzYMPTp00c8TkxMDBYvXoz77rsPMpkMc+fOxeuvv45u3bqJUyjUT9kgBeIzeezJIyIiIiKSlBsKecOHDwdQV30yPDy8XaZRMBgMSEpKQk5ODvz9/TFx4kS88cYbcHNzAwDo9XrMmzdPHFo5ZcoULFy4UHy/QqHAL7/8gv/85z+oqKhAWFgYJk6ciBdffNHmOOnp6TAYDOL3zz//PCoqKjBz5kyUlpZiyJAh2Lx5syTmyANYXZOIiIiISKpkgiAIzdnwyJEjzd7p1T1kzsxoNEKtVsNgMEClUtm7OTa+PXwRc79Kw5CuAVg9I87ezSEiIiIioutobr5odk9ev379IJPJcL1MKJPJYLFYmt9SsgsWXiEiIiIikqZmh7zMzMy2bAe1MxZeISIiIiKSpmaHvIiIiAavnThxAllZWaipqRFfk8lkjW5LjoWToRMRERERSdMNFV6pd+7cOdx33304evSozRDO+kIsHK7p+MTCKxyuSUREREQkKS26w3/22WcRGRmJgoICeHp64tixY9i1axcGDhyI5OTkVm4itQUO1yQiIiIikqYW9eSlpKRg+/btCAgIgFwuh4uLC4YMGYLFixfjmWeeweHDh1u7ndTKOFyTiIiIiEiaWnSHb7FY4OPjAwAICAhAbm4ugLrn9tLT01uvddRmqsXhmuzJIyIiIiKSkhb15PXq1Qu///47IiMjERcXhyVLlkChUOB///sfoqKiWruN1AbYk0dEREREJE0tCnkvvvgiKioqAACvvfYa7r77bgwdOhSdOnXCV1991aoNpLZx5Zk8hjwiIiIiIilpUcgbM2aM+HXXrl1x6tQpFBcXw8/PT6ywSY7NxOGaRERERESS1KKQ1xh/f//W2hW1Aw7XJCIiIiKSJt7hO6n6wivu7MkjIiIiIpIUhjwnxZ48IiIiIiJp4h2+k2LhFSIiIiIiaeIdvpO6EvI4XJOIiIiISEoY8pyUOFzTjb8CRERERERSwjt8JyVOocDhmkREREREksI7fCdVba7ryWN1TSIiIiIiaWHIc1IsvEJEREREJE28w3dCgiCw8AoRERERkUQx5DmhGotV/JqFV4iIiIiIpIV3+E6ovhcP4HBNIiIiIiKp4R2+E6ovuiKTAQoX/goQEREREUkJ7/Cd0NXTJ8hkMju3hoiIiIiIWhNDnhNi0RUiIiIiIuliyHNCptq64Zp8Ho+IiIiISHp4l++ExJ48VtYkIiIiIpIc3uU7oSvP5HG4JhERERGR1DDkOaHqy8M13dmTR0REREQkObzLd0LsySMiIiIiki6GPCfEwitERERERNLFu3wndGUKBV5+IiIiIiKpcfi7/LKyMsydOxcRERHw8PDA4MGDceDAAXF9fn4+pk2bBp1OB09PTyQmJuLMmTPi+uLiYjz99NOIjo6Gh4cHwsPD8cwzz8BgMDR53GnTpkEmk9ksiYmJbXae7Ynz5BERERERSZervRtwPTNmzMCxY8ewatUq6HQ6rF69GgkJCThx4gR0Oh0mTJgANzc3bNy4ESqVCv/617/E9V5eXsjNzUVubi7++c9/IjY2FhcuXMBTTz2F3NxcfPPNN00eOzExEZ9++qn4vVKpbOvTbRcmMwuvEBERERFJlUOHvKqqKqxbtw4bN27EsGHDAACvvPIKvv/+eyxbtgxTpkzB3r17cezYMfTs2RMAsGzZMmg0Gnz55ZeYMWMGevXqhXXr1on77NKlC9544w08+uijqK2thavrtX8ESqUSGo2mbU/SDtiTR0REREQkXQ7dlVNbWwuLxQJ3d3eb1z08PLB7926YTCYAsFkvl8uhVCqxe/fua+7XYDBApVI1GfAAIDk5GUFBQYiOjsasWbNQVFTU5PYmkwlGo9FmcUT1PXmcDJ2IiIiISHoc+i7fx8cH8fHxWLRoEXJzc2GxWLB69WqkpKRAr9cjJiYG4eHhSEpKQklJCWpqavDWW28hJycHer2+0X0WFhZi0aJFmDlzZpPHTkxMxGeffYZt27bhrbfews6dOzF27FhYLJZrvmfx4sVQq9XiEhYWdlPn31ZYeIWIiIiISLpkgiAI9m5EU86ePYvHH38cu3btgouLC2655RZ0794dqampOHnyJFJTU/HEE0/g999/h4uLCxISEiCXyyEIAn766SebfRmNRtx5553w9/fHd999Bzc3t2a349y5c+jSpQt++eUXjBo1qtFtTCaT2LtYf7ywsDCx59BRvPLdcazYcx5zRnbF/DHR9m4OERERERE1g9FohFqtvm6+cPiunC5dumDnzp0oLy9HdnY29u/fD7PZjKioKADAgAEDkJaWhtLSUuj1emzevBlFRUXi+nplZWVITEyEj48PNmzYcEMBDwCioqIQEBCAjIyMa26jVCqhUqlsFkfEefKIiIiIiKSrw9zle3l5QavVoqSkBFu2bMH48eNt1qvVagQGBuLMmTM4ePCgzXqj0YjRo0dDoVDgu+++a/CMX3Pk5OSgqKgIWq32ps/F3qrNdcM13d1YeIWIiIiISGocPuRt2bIFmzdvRmZmJrZu3YqRI0ciJiYG06dPBwCsXbsWycnJOHfuHDZu3Ig777wTEyZMwOjRowFcCXgVFRX4+OOPYTQakZeXh7y8PJvn62JiYrBhwwYAQHl5ORYsWIC9e/fi/Pnz2LZtG8aPH4+uXbtizJgx7f9DaGViTx4LrxARERERSY5DT6EA1FXCTEpKQk5ODvz9/TFx4kS88cYb4nBLvV6PefPmIT8/H1qtFlOmTMHChQvF9x86dAj79u0DAHTt2tVm35mZmejcuTMAID09XZwg3cXFBUeOHMHKlStRWloKnU6H0aNHY9GiRZKYK89kZuEVIiIiIiKpcvjCKx1Zcx+MbG+PfrQPuzMK8Z+H+mFC/xB7N4eIiIiIiJpBMoVXqPWx8AoRERERkXTxLt8J1c+Tx8IrRERERETSw5DnhKrN7MkjIiIiIpIq3uU7ofqePFbXJCIiIiKSHt7lO6Er1TU5XJOIiIiISGoY8pwQC68QEREREUkX7/KdEAuvEBERERFJF0OekxEEgYVXiIiIiIgkjHf5TqbWKsAq1H3NZ/KIiIiIiKSHIc/J1A/VBFhdk4iIiIhIiniX72RMl4dqAoDChZefiIiIiEhqeJfvZOp78hQucsjlMju3hoiIiIiIWhtDnpPhROhERERERNLGO30nc6WyJouuEBERERFJEUOekxF78jh9AhERERGRJPFO38nUF17hcE0iIiIiImninb6TudKTx+GaRERERERSxJDnZOpDnjt78oiIiIiIJIl3+k7mSuEVXnoiIiIiIininb6T4XBNIiIiIiJpY8hzMqZa9uQREREREUkZ7/SdjMlcPxk6e/KIiIiIiKSIIc/JcJ48IiIiIiJp452+k6kfrsnqmkRERERE0sQ7fSdTbWbhFSIiIiIiKWPIczIsvEJEREREJG2803cynEKBiIiIiEjaGPKczJXqmrz0RERERERSxDt9JyMWXuFwTSIiIiIiSeKdvpOp5jx5RERERESSxpDnZFh4hYiIiIhI2hz+Tr+srAxz585FREQEPDw8MHjwYBw4cEBcn5+fj2nTpkGn08HT0xOJiYk4c+aMzT6qq6sxe/ZsdOrUCd7e3pg4cSLy8/ObPK4gCHjppZeg1Wrh4eGBhISEBvvtiFh4hYiIiIhI2hw+5M2YMQNbt27FqlWrcPToUYwePRoJCQm4ePEiBEHAhAkTcO7cOWzcuBGHDx9GREQEEhISUFFRIe7jL3/5C77//nusXbsWO3fuRG5uLu6///4mj7tkyRIsXboUy5cvx759++Dl5YUxY8agurq6rU+5TV0JeQ5/6YmIiIiIqAVkgiAI9m7EtVRVVcHHxwcbN27EuHHjxNcHDBiAsWPHYsqUKYiOjsaxY8fQs2dPAIDVaoVGo8Gbb76JGTNmwGAwIDAwEF988QUeeOABAMCpU6fQo0cPpKSk4LbbbmtwXEEQoNPp8Nxzz2H+/PkAAIPBgODgYKxYsQKTJk1qVvuNRiPUajUMBgNUKtXN/jhaReJ/duFUXhlWPTEIQ7sF2rs5RERERETUTM3NFw7dnVNbWwuLxQJ3d3eb1z08PLB7926YTCYAsFkvl8uhVCqxe/duAEBqairMZjMSEhLEbWJiYhAeHo6UlJRGj5uZmYm8vDyb96jVasTFxV3zPQBgMplgNBptFkdTc7knz52FV4iIiIiIJMmhQ56Pjw/i4+OxaNEi5ObmwmKxYPXq1UhJSYFerxfDWlJSEkpKSlBTU4O33noLOTk50Ov1AIC8vDwoFAr4+vra7Ds4OBh5eXmNHrf+9eDg4Ga/BwAWL14MtVotLmFhYTdx9m2j2szCK0REREREUubwd/qrVq2CIAgICQmBUqnE0qVL8fDDD0Mul8PNzQ3r16/H6dOn4e/vD09PT+zYsQNjx46FXN7+p5aUlASDwSAu2dnZ7d6G62HhFSIiIiIiaXP4kNelSxfs3LkT5eXlyM7Oxv79+2E2mxEVFQWg7vm8tLQ0lJaWQq/XY/PmzSgqKhLXazQa1NTUoLS01Ga/+fn50Gg0jR6z/vU/VuBs6j0AoFQqoVKpbBZHw8IrRERERETS1mHu9L28vKDValFSUoItW7Zg/PjxNuvVajUCAwNx5swZHDx4UFw/YMAAuLm5Ydu2beK26enpyMrKQnx8fKPHioyMhEajsXmP0WjEvn37rvmejkKcJ8+tw1x6IiIiIiK6Aa72bsD1bNmyBYIgIDo6GhkZGViwYAFiYmIwffp0AMDatWsRGBiI8PBwHD16FM8++ywmTJiA0aNHA6gLf0888QTmzZsHf39/qFQqPP3004iPj7eprBkTE4PFixfjvvvug0wmw9y5c/H666+jW7duiIyMxMKFC6HT6TBhwgR7/BhahcUqwGypK6bqzuGaRERERESS5PAhz2AwICkpCTk5OfD398fEiRPxxhtvwM3NDQCg1+sxb9485OfnQ6vVYsqUKVi4cKHNPv79739DLpdj4sSJMJlMGDNmDD744AObbdLT02EwGMTvn3/+eVRUVGDmzJkoLS3FkCFDsHnz5gaVPjuS+l48gD15RERERERS5dDz5HV0jjZPXklFDfov2goAyHhjLFxdGPSIiIiIiDoKScyTR62rvuiKq1zGgEdEREREJFG803ciYtEVVtYkIiIiIpIs3u07EXH6BDcWXSEiIiIikiqGPCdiMteFPHf25BERERERSRbv9p1ItThHHnvyiIiIiIikiiHPidT35PGZPCIiIiIi6eLdvhNh4RUiIiIiIunj3b4TEQuvuHK4JhERERGRVDHkORGxJ8+Nl52IiIiISKp4t+9Eqs3sySMiIiIikjqGPCdiMrMnj4iIiIhI6ni370SuPJPHy05EREREJFW823ciLLxCRERERCR9DHlOhFMoEBERERFJH+/2nUj9ZOjubuzJIyIiIiKSKoY8J1LNnjwiIiIiIsnj3b4Tqe/JY3VNIiIiIiLp4t2+E2HhFSIiIiIi6WPIcyIsvEJEREREJH2823ci9T15LLxCRERERCRdDHlOpNrMnjwiIiIiIqnj3b4TufJMHi87EREREZFU8W7fiVyprsnhmkREREREUsWQ50RYeIWIiIiISPp4t+9EOFyTiIiIiEj6eLfvRFhdk4iIiIhI+hjynAiraxIRERERSR/v9p2IOFyTPXlERERERJLFkOckBEFADZ/JIyIiIiKSPN7tO4n6XjyAIY+IiIiISMp4t+8krg55LLxCRERERCRdDHlOwnS56IpcBrjKZXZuDRERERERtRWHD3llZWWYO3cuIiIi4OHhgcGDB+PAgQPi+vLycsyZMwehoaHw8PBAbGwsli9fLq4/f/48ZDJZo8vatWuvedxp06Y12D4xMbFNz7UtXZkjzwUyGUMeEREREZFUudq7AdczY8YMHDt2DKtWrYJOp8Pq1auRkJCAEydOICQkBPPmzcP27duxevVqdO7cGT///DP+/Oc/Q6fT4d5770VYWBj0er3NPv/3v//h7bffxtixY5s8dmJiIj799FPxe6VS2Sbn2B5MtZenT3Bz+FxPREREREQ3waHv+KuqqrBu3TosWbIEw4YNQ9euXfHKK6+ga9euWLZsGQBgz549mDp1KkaMGIHOnTtj5syZ6Nu3L/bv3w8AcHFxgUajsVk2bNiABx98EN7e3k0eX6lU2rzPz8+vzc+5rVSbWVmTiIiIiMgZOPQdf21tLSwWC9zd3W1e9/DwwO7duwEAgwcPxnfffYeLFy9CEATs2LEDp0+fxujRoxvdZ2pqKtLS0vDEE09c9/jJyckICgpCdHQ0Zs2ahaKioia3N5lMMBqNNoujqB+uyaIrRERERETS5tAhz8fHB/Hx8Vi0aBFyc3NhsViwevVqpKSkiEMw33vvPcTGxiI0NBQKhQKJiYl4//33MWzYsEb3+fHHH6NHjx4YPHhwk8dOTEzEZ599hm3btuGtt97Czp07MXbsWFgslmu+Z/HixVCr1eISFhbW8pNvZeJwTfbkERERERFJmsPf8a9atQqCICAkJARKpRJLly7Fww8/DLm8runvvfce9u7di++++w6pqal45513MHv2bPzyyy8N9lVVVYUvvviiWb14kyZNwr333ovevXtjwoQJ2LRpEw4cOIDk5ORrvicpKQkGg0FcsrOzW3zerc1kvlJ4hYiIiIiIpMvhC6906dIFO3fuREVFBYxGI7RaLR566CFERUWhqqoKf/vb37BhwwaMGzcOANCnTx+kpaXhn//8JxISEmz29c0336CyshJTpky54XZERUUhICAAGRkZGDVqVKPbKJVKhy3Owp48IiIiIiLn0GHu+L28vKDValFSUoItW7Zg/PjxMJvNMJvNYq9ePRcXF1it1gb7+Pjjj3HvvfciMDDwho+fk5ODoqIiaLXaFp+DPYlTKLC6JhERERGRpDn8Hf+WLVuwefNmZGZmYuvWrRg5ciRiYmIwffp0qFQqDB8+HAsWLEBycjIyMzOxYsUKfPbZZ7jvvvts9pORkYFdu3ZhxowZjR4nJiYGGzZsAFA3996CBQuwd+9enD9/Htu2bcP48ePRtWtXjBkzps3PuS1wuCYRERERkXNw+OGaBoMBSUlJyMnJgb+/PyZOnIg33ngDbm5uAIA1a9YgKSkJkydPRnFxMSIiIvDGG2/gqaeestnPJ598gtDQ0GtW3UxPT4fBYABQ1xN45MgRrFy5EqWlpdDpdBg9ejQWLVrksMMxr6d+uKY7e/KIiIiIiCRNJgiCYO9GSJXRaIRarYbBYIBKpbJrWz7cdQ5v/HgS9/UPwb8f6mfXthARERER0Y1rbr5gt46TYOEVIiIiIiLnwDt+J2GxAnIZQx4RERERkdRxuGYbcqThmvWsVgFyuczezSAiIiIiohvE4ZrUKAY8IiIiIiJpY8gjIiIiIiKSEIY8IiIiIiIiCWHIIyIiIiIikhCGPCIiIiIiIglhyCMiIiIiIpIQhjwiIiIiIiIJYcgjIiIiIiKSEIY8IiIiIiIiCWHIIyIiIiIikhCGPCIiIiIiIglhyCMiIiIiIpIQV3s3QMoEQQAAGI1GO7eEiIiIiIg6uvpcUZ8zroUhrw2VlZUBAMLCwuzcEiIiIiIikoqysjKo1eprrpcJ14uB1GJWqxW5ubnw8fGBTCazd3NgNBoRFhaG7OxsqFQqezfH6fF6OBZeD8fC6+FYeD0cC6+HY+H1cCxSvx6CIKCsrAw6nQ5y+bWfvGNPXhuSy+UIDQ21dzMaUKlUkvyl76h4PRwLr4dj4fVwLLwejoXXw7HwejgWKV+Ppnrw6rHwChERERERkYQw5BEREREREUkIQ54TUSqVePnll6FUKu3dFAKvh6Ph9XAsvB6OhdfDsfB6OBZeD8fC61GHhVeIiIiIiIgkhD15REREREREEsKQR0REREREJCEMeURERERERBLCkEdERERERCQhDHlO4v3330fnzp3h7u6OuLg47N+/395NcgqvvPIKZDKZzRITEyOur66uxuzZs9GpUyd4e3tj4sSJyM/Pt2OLpWXXrl245557oNPpIJPJ8O2339qsFwQBL730ErRaLTw8PJCQkIAzZ87YbFNcXIzJkydDpVLB19cXTzzxBMrLy9vxLKTjetdj2rRpDT4viYmJNtvwerSexYsX49Zbb4WPjw+CgoIwYcIEpKen22zTnH+jsrKyMG7cOHh6eiIoKAgLFixAbW1te56KJDTneowYMaLBZ+Spp56y2YbXo3UsW7YMffr0ESfUjo+Px08//SSu52ejfV3vevCz0RBDnhP46quvMG/ePLz88ss4dOgQ+vbtizFjxqCgoMDeTXMKPXv2hF6vF5fdu3eL6/7yl7/g+++/x9q1a7Fz507k5ubi/vvvt2NrpaWiogJ9+/bF+++/3+j6JUuWYOnSpVi+fDn27dsHLy8vjBkzBtXV1eI2kydPxvHjx7F161Zs2rQJu3btwsyZM9vrFCTletcDABITE20+L19++aXNel6P1rNz507Mnj0be/fuxdatW2E2mzF69GhUVFSI21zv3yiLxYJx48ahpqYGe/bswcqVK7FixQq89NJL9jilDq051wMAnnzySZvPyJIlS8R1vB6tJzQ0FP/4xz+QmpqKgwcP4o477sD48eNx/PhxAPxstLfrXQ+An40GBJK8QYMGCbNnzxa/t1gsgk6nExYvXmzHVjmHl19+Wejbt2+j60pLSwU3Nzdh7dq14msnT54UAAgpKSnt1ELnAUDYsGGD+L3VahU0Go3w9ttvi6+VlpYKSqVS+PLLLwVBEIQTJ04IAIQDBw6I2/z000+CTCYTLl682G5tl6I/Xg9BEISpU6cK48ePv+Z7eD3aVkFBgQBA2LlzpyAIzfs36scffxTkcrmQl5cnbrNs2TJBpVIJJpOpfU9AYv54PQRBEIYPHy48++yz13wPr0fb8vPzEz766CN+NhxE/fUQBH42GsOePImrqalBamoqEhISxNfkcjkSEhKQkpJix5Y5jzNnzkCn0yEqKgqTJ09GVlYWACA1NRVms9nm2sTExCA8PJzXph1kZmYiLy/P5uevVqsRFxcn/vxTUlLg6+uLgQMHitskJCRALpdj37597d5mZ5CcnIygoCBER0dj1qxZKCoqEtfxerQtg8EAAPD39wfQvH+jUlJS0Lt3bwQHB4vbjBkzBkaj0eYv7HTj/ng96n3++ecICAhAr169kJSUhMrKSnEdr0fbsFgsWLNmDSoqKhAfH8/Php398XrU42fDlqu9G0Btq7CwEBaLxeaXGgCCg4Nx6tQpO7XKecTFxWHFihWIjo6GXq/Hq6++iqFDh+LYsWPIy8uDQqGAr6+vzXuCg4ORl5dnnwY7kfqfcWOfjfp1eXl5CAoKslnv6uoKf39/XqM2kJiYiPvvvx+RkZE4e/Ys/va3v2Hs2LFISUmBi4sLr0cbslqtmDt3Lm6//Xb06tULAJr1b1ReXl6jn6H6ddQyjV0PAHjkkUcQEREBnU6HI0eO4K9//SvS09Oxfv16ALwere3o0aOIj49HdXU1vL29sWHDBsTGxiItLY2fDTu41vUA+NloDEMeURsaO3as+HWfPn0QFxeHiIgIfP311/Dw8LBjy4gcz6RJk8Sve/fujT59+qBLly5ITk7GqFGj7Ngy6Zs9ezaOHTtm88ww2c+1rsfVz5/27t0bWq0Wo0aNwtmzZ9GlS5f2bqbkRUdHIy0tDQaDAd988w2mTp2KnTt32rtZTuta1yM2NpafjUZwuKbEBQQEwMXFpUHFp/z8fGg0Gju1ynn5+vqie/fuyMjIgEajQU1NDUpLS2224bVpH/U/46Y+GxqNpkGBotraWhQXF/MatYOoqCgEBAQgIyMDAK9HW5kzZw42bdqEHTt2IDQ0VHy9Of9GaTSaRj9D9evoxl3rejQmLi4OAGw+I7werUehUKBr164YMGAAFi9ejL59++Ldd9/lZ8NOrnU9GsPPBkOe5CkUCgwYMADbtm0TX7Nardi2bZvNOGZqH+Xl5Th79iy0Wi0GDBgANzc3m2uTnp6OrKwsXpt2EBkZCY1GY/PzNxqN2Ldvn/jzj4+PR2lpKVJTU8Vttm/fDqvVKv4PhNpOTk4OioqKoNVqAfB6tDZBEDBnzhxs2LAB27dvR2RkpM365vwbFR8fj6NHj9qE761bt0KlUonDqKh5rnc9GpOWlgYANp8RXo+2Y7VaYTKZ+NlwEPXXozH8bIDVNZ3BmjVrBKVSKaxYsUI4ceKEMHPmTMHX19emwhC1jeeee05ITk4WMjMzhd9++01ISEgQAgIChIKCAkEQBOGpp54SwsPDhe3btwsHDx4U4uPjhfj4eDu3WjrKysqEw4cPC4cPHxYACP/617+Ew4cPCxcuXBAEQRD+8Y9/CL6+vsLGjRuFI0eOCOPHjxciIyOFqqoqcR+JiYlC//79hX379gm7d+8WunXrJjz88MP2OqUOranrUVZWJsyfP19ISUkRMjMzhV9++UW45ZZbhG7dugnV1dXiPng9Ws+sWbMEtVotJCcnC3q9XlwqKyvFba73b1Rtba3Qq1cvYfTo0UJaWpqwefNmITAwUEhKSrLHKXVo17seGRkZwmuvvSYcPHhQyMzMFDZu3ChERUUJw4YNE/fB69F6XnjhBWHnzp1CZmamcOTIEeGFF14QZDKZ8PPPPwuCwM9Ge2vqevCz0TiGPCfx3nvvCeHh4YJCoRAGDRok7N27195NcgoPPfSQoNVqBYVCIYSEhAgPPfSQkJGRIa6vqqoS/vznPwt+fn6Cp6encN999wl6vd6OLZaWHTt2CAAaLFOnThUEoW4ahYULFwrBwcGCUqkURo0aJaSnp9vso6ioSHj44YcFb29vQaVSCdOnTxfKysrscDYdX1PXo7KyUhg9erQQGBgouLm5CREREcKTTz7Z4I9RvB6tp7FrAUD49NNPxW2a82/U+fPnhbFjxwoeHh5CQECA8Nxzzwlms7mdz6bju971yMrKEoYNGyb4+/sLSqVS6Nq1q7BgwQLBYDDY7IfXo3U8/vjjQkREhKBQKITAwEBh1KhRYsATBH422ltT14OfjcbJBEEQ2q/fkIiIiIiIiNoSn8kjIiIiIiKSEIY8IiIiIiIiCWHIIyIiIiIikhCGPCIiIiIiIglhyCMiIiIiIpIQhjwiIiIiIiIJYcgjIiIiIiKSEIY8IiIiIiIiCWHIIyIiakRycjJkMhlKS0vb5XiPPfYY3nzzzXY51gsvvICnn366XY5FRETtTyYIgmDvRhAREdnbiBEj0K9fP/znP/8BANTU1KC4uBjBwcGQyWRteuzff/8dd9xxBy5cuABvb+82PRYAFBYWIioqCmlpaYiKimrz4xERUftiTx4REVEjFAoFNBpNmwc8AHjvvffwpz/9qV0CHgAEBARgzJgxWLZsWbscj4iI2hdDHhEROb1p06Zh586dePfddyGTySCTybBixQqb4ZorVqyAr68vNm3ahOjoaHh6euKBBx5AZWUlVq5cic6dO8PPzw/PPPMMLBaLuG+TyYT58+cjJCQEXl5eiIuLQ3JysrjeYrHgm2++wT333GPTpg8++ADdunWDu7s7goOD8cADD4jrrFYrFi9ejMjISHh4eKBv37745ptvbN5//Phx3H333VCpVPDx8cHQoUNx9uxZcf0999yDNWvWtOJPkYiIHIWrvRtARERkb++++y5Onz6NXr164bXXXgNQF5L+qLKyEkuXLsWaNWtQVlaG+++/H/fddx98fX3x448/4ty5c5g4cSJuv/12PPTQQwCAOXPm4MSJE1izZg10Oh02bNiAxMREHD16FN26dcORI0dgMBgwcOBA8TgHDx7EM888g1WrVmHw4MEoLi7Gr7/+Kq5fvHgxVq9ejeXLl6Nbt27YtWsXHn30UQQGBmL48OG4ePEihg0bhhEjRmD79u1QqVT47bffUFtbK+5j0KBByMnJwfnz59G5c+c2+skSEZE9MOQREZHTU6vVUCgU8PT0hEajAQCcOnWqwXZmsxnLli1Dly5dAAAPPPAAVq1ahfz8fHh7eyM2NhYjR47Ejh078NBDDyErKwuffvopsrKyoNPpAADz58/H5s2b8emnn+LNN9/EhQsX4OLigqCgIPE4WVlZ8PLywt133w0fHx9ERESgf//+AOp6Bt9880388ssviI+PBwBERUVh9+7d+O9//4vhw4fj/fffh1qtxpo1a+Dm5gYA6N69u8251LfnwoULDHlERBLDkEdERNRMnp6eYsADgODgYHTu3NnmWbrg4GAUFBQAAI4ePQqLxdIgYJlMJnTq1AkAUFVVBaVSafPs35133omIiAhERUUhMTERiYmJuO++++Dp6YmMjAxUVlbizjvvtNlnTU2NGATT0tIwdOhQMeA1xsPDA0Bd7yQREUkLQx4REVEz/TE0yWSyRl+zWq0AgPLycri4uCA1NRUuLi4229UHw4CAAFRWVqKmpgYKhQIA4OPjg0OHDiE5ORk///wzXnrpJbzyyis4cOAAysvLAQA//PADQkJCbPapVCoBXAlwTSkuLgYABAYGNuvciYio42DIIyIiQl01zasLprSG/v37w2KxoKCgAEOHDm10m379+gEATpw4IX4NAK6urkhISEBCQgJefvll+Pr6Yvv27bjzzjuhVCqRlZWF4cOHN7rPPn36YOXKlTCbzdfszTt27Bjc3NzQs2fPmzpHIiJyPAx5REREADp37ox9+/bh/Pnz8Pb2Fnvjbkb37t0xefJkTJkyBe+88w769++PS5cuYdu2bejTpw/GjRuHwMBA3HLLLdi9e7cY8jZt2oRz585h2LBh8PPzw48//gir1Yro6Gj4+Phg/vz5+Mtf/gKr1YohQ4bAYDDgt99+g0qlwtSpUzFnzhy89957mDRpEpKSkqBWq7F3714MGjQI0dHRAIBff/0VQ4cObVavHxERdSycQoGIiAh1BVFcXFwQGxuLwMBAZGVltcp+P/30U0yZMgXPPfccoqOjMWHCBBw4cADh4eHiNjNmzMDnn38ufu/r64v169fjjjvuQI8ePbB8+XJ8+eWXYq/bokWLsHDhQixevBg9evRAYmIifvjhB0RGRgIAOnXqhO3bt6O8vBzDhw/HgAED8OGHH9r06q1ZswZPPvlkq5wjERE5FpkgCIK9G0FEROTMqqqqEB0dja+++kqsmNmWfvrpJzz33HM4cuQIXF05qIeISGrYk0dERGRnHh4e+Oyzz1BYWNgux6uoqMCnn37KgEdEJFHsySMiIiIiIpIQ9uQRERERERFJCEMeERERERGRhDDkERERERERSQhDHhERERERkYQw5BEREREREUkIQx4REREREZGEMOQRERERERFJCEMeERERERGRhDDkERERERERScj/BwwrAzIm7vxJAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def f_radar(x, dt):\n", + " \"\"\" state transition function for a constant velocity \n", + " aircraft with state vector [x, velocity, altitude]'\"\"\"\n", + " \n", + " F = np.array([[1, dt, 0],\n", + " [0, 1, 0],\n", + " [0, 0, 1]], dtype=float)\n", + " return F @ x\n", + "\n", + "def h_radar(x):\n", + " dx = x[0] - h_radar.radar_pos[0]\n", + " dy = x[2] - h_radar.radar_pos[1]\n", + " slant_range = math.sqrt(dx**2 + dy**2)\n", + " elevation_angle = math.atan2(dy, dx)\n", + " return [slant_range, elevation_angle]\n", + "\n", + "h_radar.radar_pos = (0, 0)\n", + "\n", + "from numpy.linalg import norm\n", + "from math import atan2\n", + "\n", + "class RadarStation:\n", + " \n", + " def __init__(self, pos, range_std, elev_angle_std):\n", + " self.pos = np.asarray(pos) \n", + " self.range_std = range_std\n", + " self.elev_angle_std = elev_angle_std\n", + "\n", + " \n", + " def reading_of(self, ac_pos):\n", + " \"\"\" Returns (range, elevation angle) to aircraft. \n", + " Elevation angle is in radians.\n", + " \"\"\"\n", + " \n", + " diff = np.subtract(ac_pos, self.pos)\n", + " rng = norm(diff)\n", + " brg = atan2(diff[1], diff[0])\n", + " return rng, brg\n", + "\n", + "\n", + " def noisy_reading(self, ac_pos):\n", + " \"\"\" Compute range and elevation angle to aircraft with \n", + " simulated noise\"\"\"\n", + " \n", + " rng, brg = self.reading_of(ac_pos) \n", + " rng += randn() * self.range_std\n", + " brg += randn() * self.elev_angle_std \n", + " return rng, brg \n", + "\n", + "class ACSim: \n", + " def __init__(self, pos, vel, vel_std):\n", + " self.pos = np.asarray(pos, dtype=float)\n", + " self.vel = np.asarray(vel, dtype=float)\n", + " self.vel_std = vel_std \n", + " \n", + " def update(self, dt):\n", + " \"\"\" Compute and returns next position. Incorporates \n", + " random variation in velocity. \"\"\"\n", + " \n", + " dx = self.vel*dt + (randn() * self.vel_std) * dt \n", + " self.pos += dx \n", + " return self.pos\n", + " \n", + "import math\n", + "from kf_book.ukf_internal import plot_radar\n", + "\n", + "dt = 3. # 12 seconds between readings\n", + "range_std = 5 # meters\n", + "elevation_angle_std = math.radians(0.5)\n", + "ac_pos = (0., 1000.)\n", + "ac_vel = (100., 0.)\n", + "radar_pos = (0., 0.)\n", + "h_radar.radar_pos = radar_pos\n", + "\n", + "points = MerweScaledSigmaPoints(n=3, alpha=.1, beta=2., kappa=0.)\n", + "kf = UKF(3, 2, dt, fx=f_radar, hx=h_radar, points=points)\n", + "\n", + "kf.Q[0:2, 0:2] = Q_discrete_white_noise(2, dt=dt, var=0.1)\n", + "kf.Q[2,2] = 0.1\n", + "\n", + "kf.R = np.diag([range_std**2, elevation_angle_std**2])\n", + "kf.x = np.array([0., 90., 1100.])\n", + "kf.P = np.diag([300**2, 30**2, 150**2])\n", + "\n", + "np.random.seed(200)\n", + "pos = (0, 0)\n", + "radar = RadarStation(pos, range_std, elevation_angle_std)\n", + "ac = ACSim(ac_pos, (100, 0), 0.02)\n", + "\n", + "time = np.arange(0, 360 + dt, dt)\n", + "xs = []\n", + "for _ in time:\n", + " ac.update(dt)\n", + " r = radar.noisy_reading(ac.pos)\n", + " kf.predict()\n", + " kf.update([r[0], r[1]]) \n", + " xs.append(kf.x) \n", + "plot_radar(xs, time)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "ac2ab039", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Actual altitude: 2515.6\n", + "UKF altitude : 1042.1\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kf_book.ukf_internal import plot_altitude\n", + "\n", + "# reset aircraft position\n", + "kf.x = np.array([0., 90., 1100.])\n", + "kf.P = np.diag([300**2, 30**2, 150**2])\n", + "ac = ACSim(ac_pos, (100, 0), 0.02)\n", + "\n", + "np.random.seed(200)\n", + "time = np.arange(0, 360 + dt, dt)\n", + "xs, ys = [], []\n", + "for t in time:\n", + " if t >= 60:\n", + " ac.vel[1] = 300/60 # 300 meters/minute climb\n", + " ac.update(dt)\n", + " r = radar.noisy_reading(ac.pos)\n", + " ys.append(ac.pos[1])\n", + " kf.predict()\n", + " kf.update([r[0], r[1]]) \n", + " xs.append(kf.x)\n", + "\n", + "plot_altitude(xs, time, ys)\n", + "print(f'Actual altitude: {ac.pos[1]:.1f}')\n", + "print(f'UKF altitude : {xs[-1][2]:.1f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "ffd3252a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Actual altitude: 2515.6\n", + "UKF altitude : 2500.1\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def f_cv_radar(x, dt):\n", + " \"\"\" state transition function for a constant velocity \n", + " aircraft\"\"\"\n", + " F = np.array([[1, dt, 0, 0],\n", + " [0, 1, 0, 0],\n", + " [0, 0, 1, dt],\n", + " [0, 0, 0, 1]], dtype=float)\n", + " return F @ x\n", + " \n", + "def cv_UKF(fx, hx, R_std):\n", + " points = MerweScaledSigmaPoints(n=4, alpha=.1, beta=2., kappa=-1.)\n", + " kf = UKF(4, len(R_std), dt, fx=fx, hx=hx, points=points)\n", + "\n", + " kf.Q[0:2, 0:2] = Q_discrete_white_noise(2, dt=dt, var=0.1)\n", + " kf.Q[2:4, 2:4] = Q_discrete_white_noise(2, dt=dt, var=0.1)\n", + " kf.R = np.diag(R_std)\n", + " kf.R = kf.R @ kf.R # square to get variance\n", + " kf.x = np.array([0., 90., 1100., 0.])\n", + " kf.P = np.diag([300**2, 3**2, 150**2, 3**2])\n", + " return kf\n", + "\n", + "np.random.seed(200)\n", + "ac = ACSim(ac_pos, (100, 0), 0.02)\n", + "\n", + "kf_cv = cv_UKF(f_cv_radar, h_radar, R_std=[range_std, elevation_angle_std])\n", + "time = np.arange(0, 360 + dt, dt)\n", + "xs, ys = [], []\n", + "for t in time:\n", + " if t >= 60:\n", + " ac.vel[1] = 300/60 # 300 meters/minute climb\n", + " ac.update(dt)\n", + " r = radar.noisy_reading(ac.pos)\n", + " ys.append(ac.pos[1])\n", + " kf_cv.predict()\n", + " kf_cv.update([r[0], r[1]]) \n", + " xs.append(kf_cv.x)\n", + "\n", + "plot_altitude(xs, time, ys)\n", + "print(f'Actual altitude: {ac.pos[1]:.1f}')\n", + "print(f'UKF altitude : {xs[-1][2]:.1f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "69685f71", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Velocity std 3.4 m/s\n" + ] + } + ], + "source": [ + "range_std = 500.\n", + "elevation_angle_std = math.degrees(0.5)\n", + "np.random.seed(200)\n", + "pos = (0, 0)\n", + "radar = RadarStation(pos, range_std, elevation_angle_std)\n", + "ac = ACSim(ac_pos, (100, 0), 0.02)\n", + "\n", + "kf_sf = cv_UKF(f_cv_radar, h_radar, R_std=[range_std, elevation_angle_std])\n", + "time = np.arange(0, 360 + dt, dt)\n", + "xs = []\n", + "for _ in time:\n", + " ac.update(dt)\n", + " r = radar.noisy_reading(ac.pos)\n", + " kf_sf.predict()\n", + " kf_sf.update([r[0], r[1]]) \n", + " xs.append(kf_sf.x)\n", + "\n", + "xs = np.asarray(xs)\n", + "plot_radar(xs, time, plot_x=False, plot_vel=True, plot_alt=False)\n", + "print(f'Velocity std {np.std(xs[10:, 1]):.1f} m/s')" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "b9041844", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Velocity std 0.9 m/s\n" + ] + } + ], + "source": [ + "def h_vel(x):\n", + " dx = x[0] - h_vel.radar_pos[0]\n", + " dz = x[2] - h_vel.radar_pos[1]\n", + " slant_range = math.sqrt(dx**2 + dz**2)\n", + " elevation_angle = math.atan2(dz, dx)\n", + " return slant_range, elevation_angle, x[1], x[3]\n", + "\n", + "h_radar.radar_pos = (0, 0)\n", + "h_vel.radar_pos = (0, 0)\n", + "\n", + "range_std = 500.\n", + "elevation_angle_std = math.degrees(0.5)\n", + "vel_std = 2.\n", + "\n", + "np.random.seed(200)\n", + "ac = ACSim(ac_pos, (100, 0), 0.02)\n", + "radar = RadarStation((0, 0), range_std, elevation_angle_std)\n", + "\n", + "kf_sf2 = cv_UKF(f_cv_radar, h_vel, \n", + " R_std=[range_std, elevation_angle_std, vel_std, vel_std])\n", + "\n", + "time = np.arange(0, 360 + dt, dt)\n", + "xs = []\n", + "for t in time:\n", + " ac.update(dt)\n", + " r = radar.noisy_reading(ac.pos)\n", + " # simulate the doppler velocity reading\n", + " vx = ac.vel[0] + randn()*vel_std\n", + " vz = ac.vel[1] + randn()*vel_std\n", + " kf_sf2.predict()\n", + " kf_sf2.update([r[0], r[1], vx, vz]) \n", + " xs.append(kf_sf2.x)\n", + "xs = np.asarray(xs)\n", + "plot_radar(xs, time, plot_x=False, plot_vel=True, plot_alt=False)\n", + "print(f'Velocity std {np.std(xs[10:,1]):.1f} m/s')" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "15b46db0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ukf_internal.show_two_sensor_bearing()\n", + "\n", + "def bearing(sensor, target_pos):\n", + " return math.atan2(target_pos[1] - sensor[1], \n", + " target_pos[0] - sensor[0])\n", + "\n", + "def measurement(A_pos, B_pos, pos):\n", + " angle_a = bearing(A_pos, pos)\n", + " angle_b = bearing(B_pos, pos)\n", + " return [angle_a, angle_b]\n", + "\n", + "def fx_VOR(x, dt):\n", + " x[0] += x[1] * dt\n", + " x[2] += x[3] * dt\n", + " return x\n", + "\n", + "sa_pos = [-400, 0]\n", + "sb_pos = [400, 0]\n", + "\n", + "def hx_VOR(x):\n", + " # measurement to A\n", + " pos = (x[0], x[2])\n", + " return measurement(sa_pos, sb_pos, pos)\n", + "\n", + "def moving_target_filter(pos, std_noise, Q, dt=0.1, kappa=0.0):\n", + " points = MerweScaledSigmaPoints(n=4, alpha=.1, beta=2., kappa=kappa)\n", + " f = UKF(dim_x=4, dim_z=2, dt=dt, \n", + " hx=hx_VOR, fx=fx_VOR, points=points)\n", + " f.x = np.array([pos[0], 1., pos[1], 1.])\n", + "\n", + " q = Q_discrete_white_noise(2, dt, Q)\n", + " f.Q[0:2, 0:2] = q\n", + " f.Q[2:4, 2:4] = q\n", + " f.R *= std_noise**2\n", + " f.P *= 1000 \n", + " return f\n", + "\n", + "def plot_straight_line_target(f, std_noise):\n", + " xs, txs = [], []\n", + " for i in range(300):\n", + " target_pos[0] += 1 + randn()*0.0001\n", + " target_pos[1] += 1 + randn()*0.0001\n", + " txs.append((target_pos[0], target_pos[1]))\n", + "\n", + " z = measurement(sa_pos, sb_pos, target_pos)\n", + " z[0] += randn() * std_noise\n", + " z[1] += randn() * std_noise\n", + "\n", + " f.predict()\n", + " f.update(z)\n", + " xs.append(f.x)\n", + "\n", + " xs = np.asarray(xs)\n", + " txs = np.asarray(txs)\n", + "\n", + " plt.plot(xs[:, 0], xs[:, 2])\n", + " plt.plot(txs[:, 0], txs[:, 1], ls='--', lw=2, c='k')\n", + " plt.show()\n", + "\n", + "np.random.seed(123)\n", + "target_pos = [100, 200]\n", + "\n", + "std_noise = math.radians(0.5)\n", + "f = moving_target_filter(target_pos, std_noise, Q=1.0)\n", + "plot_straight_line_target(f, std_noise)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "e0a68287", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "target_pos = [0, 0]\n", + "f = moving_target_filter(target_pos, std_noise, Q=1.0)\n", + "plot_straight_line_target(f, std_noise)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "10e86e48", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with figsize(10,5):\n", + " ukf_internal.plot_iscts_two_sensors()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "c4ef28c8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cholesky:\n", + "[[1.414 0.071]\n", + " [0. 1.731]]\n", + "\n", + "square of cholesky:\n", + "[[2.005 0.122]\n", + " [0.122 2.995]]\n" + ] + } + ], + "source": [ + "points = MerweScaledSigmaPoints(n=2, alpha=.1, beta=2., kappa=1.)\n", + "points.sigma_points(x=[0.,0], P=[[1.,.1],[.1, 1]])\n", + "\n", + "import scipy\n", + "a = np.array([[2., .1], [.1, 3]])\n", + "s = scipy.linalg.cholesky(a)\n", + "print(\"cholesky:\")\n", + "print(s)\n", + "print(\"\\nsquare of cholesky:\")\n", + "print(s @ s.T)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "ee627199", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dt = 12. # 12 seconds between readings\n", + "range_std = 5 # meters\n", + "bearing_std = math.radians(0.5)\n", + "\n", + "ac_pos = (0., 1000.)\n", + "ac_vel = (100., 0.)\n", + "radar_pos = (0., 0.)\n", + "h_radar.radar_pos = radar_pos\n", + "\n", + "points = MerweScaledSigmaPoints(n=3, alpha=.1, beta=2., kappa=0.)\n", + "kf = UKF(3, 2, dt, fx=f_radar, hx=h_radar, points=points)\n", + "\n", + "kf.Q[0:2 ,0:2] = Q_discrete_white_noise(2, dt=dt, var=0.1)\n", + "kf.Q[2, 2] = 0.1\n", + "\n", + "kf.R = np.diag([range_std**2, bearing_std**2])\n", + "kf.x = np.array([0., 90., 1100.])\n", + "kf.P = np.diag([300**2, 30**2, 150**2])\n", + "\n", + "radar = RadarStation((0, 0), range_std, bearing_std)\n", + "ac = ACSim(ac_pos, (100, 0), 0.02)\n", + "\n", + "np.random.seed(200)\n", + "\n", + "t = np.arange(0, 360 + dt, dt)\n", + "n = len(t)\n", + "\n", + "zs = []\n", + "for i in range(len(t)):\n", + " ac.update(dt)\n", + " r = radar.noisy_reading(ac.pos)\n", + " zs.append([r[0], r[1]])\n", + "\n", + "xs, covs = kf.batch_filter(zs)\n", + "ukf_internal.plot_radar(xs, t)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "6657e20e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Difference in position in meters:\n", + "\t [-1.4166 -0.2815 1.2679 -1.2405 -2.1863]\n" + ] + }, + { + "data": { + "image/png": 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", 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Mnj17Ys2aNbkaeve2l6/j0X/9VUQlpKB2OWus+qYOjAwKxul2wWgl0RsvX77E7t27MWbMGDRo0ACWlpZo0aIFJk2ahEOHDkmrnz569AibNm167/kqlYB3SAx2XfPDpL130GHxOdT67ST6rbuChSe9cfpRKCLikmGkr4fa5azxXVNHLO1TG1M/TxsPvf6CL+KSUvPzLVM+8PHxQfv27fH69Ws0btwY+/fvh7Gx8XvbTZs2Db169UJKSgp69OiBFy+yThJfhMdh4MariEtWokmF4ljYqxb09N7/sXEqWQRLv64NhQLYcdXvo6gLn5CQAC8vLwDqLVr2IUZGRij9+WgAwNXje3KUlGUnfdKxkYEeLviE4chdzSaV5ofExEQsXboUADBhwoQMJzC1atVCixYtkJqaijVr1uQ4ZkRcMvb9mzbhfXAzp/ce/6Zh2tCZ3df9P5pF327cuIEWLVogKCgIzs7OOH/+/HtDhJo0aYLPPvsMSqVSuiDwIQduBmD87rSEoG/Dcvijq3Om3/mx7SoDSNufL1/Hy/J+SH13795Fp06dEBcXh/bt22Pbtm25mi/2trDYJPRffxXB0YmoVKoINg6sX6DmK3GiMTjRWFelpKTg1q1b8PLywqVLl3Dp0qVM68Xb2dmhSZMm0u3ChQuYMGECypUrhyu37uNBSBxu+kXipl8kbvtHIiaTk/qyRU1Ru1xR1La3Ru1y1qhe2jJDucNUpQptF3nieXg8pnxWFUNaVMjT914Y+ITGwKG4OQy1PE8jICAAzZo1w/Pnz1GrVi14eHigaNGsx6vHx8ejWbNmuHnzJmrVqoWLFy+iSJEiGbYJi03Clysv4Xl4PKrZWWL30EbSGO2srPDwwfzjj2Ggp8D2HxqhgRqr9eqaM2fOoE2bNihdujRevnyp8ZU3APCPiEfz+WcRcXwZYm6fQPXq1XHz5k0YGRlpHPuvU97469QT2Fga4/T4lihirLs/4uvWrcMPP/yAsmXL4unTp++9/z179qB3796wsbGBn59fjvbP8rM+WHDiMZzLWOLwyGbv/b2UKoEW888iIDIBC3u54Mu6ZWV9T/nt/Pnz+OKLLxAdHY369evj2LFjKF4882pWN2/eRJ06daBQKHDnzh04O2c+D+DgrQCM3XULKgH0aWCPWd1qZpoQpOu37jIu+oSjTwN7zOlRS5b3RTnn4+OD5s2bIzg4GI0bN4a7uzvMzc01ihmTmII+ay/jXkA0ylib4p/hjXViMrk657jsKSCdERYWhsOHD2Py5Mn49NNPYWVlhQYNGuCnn37Crl274O/vD319fdSpUwcjR47E9u3b8fz5cwQEBOCff/7BuHHj0KhRI1T8tAfMi5aAn58favSZjO82XceyMz644BOGmKRUmBnpo5FTMQxvWQFrvq2Lq7+0wQXX1ljWpza+a+aI2uWKvlf/3EBfDz+2qggAWHPOFwnJH8fVspw4dOgQmjRpgr1798oWc9HJx2i76Bx6rryEoKgE2eKqKywsDO3atcPz589RsWJFnDx58oMJAQCYmZnh4MGDsLGxwZ07d/Dtt99CpfpvEbK4pFQM3nQNz8PjUbaoKTYPqp9tQgAAwz+tgC9q2SFVJfDjthsIjNTeftHU26VI5UgIAOCKb1op0ub9fkLJkiXx4MEDLFy4UJbYwz6tgHLFzBASnYSlpzVfjyKvqFQq6T2PGTMm0xP+bt26oXTp0ggJCcnRdzY5VYXNl54DAAY3c8z076Wvp0DfhuUAAFsLeE/WiRMn0KFDB0RHR6NFixY4depUlgkBANSuXRtffvklhBCYPn16ptu8nRB8XT/7hAAAxrZN6y3Yc/0l/CPYW5CfAgIC0K5dOwQHB6NWrVo4cuSIxglBYooSQ7bcwL2AaBQ3N8LWwQ10IiFQWx7PbygQONFYO5RKpdi+fbsYOHCgqFy5sjSJ8+1b0aJFxeeffy5mzpwpzpw5I2JiPjwZcIvXc+Hg6iaKtkmbcKdvWVK0nHtSjN99S/x9+bm4HxAlUlJzN+EnOVUpms49LRxc3cT6889yFaOguXPnjjA1NZX+HpMnTxapqakaxfR4HCpNwnNwdRN1/3AX15+Hy9TinIuKihJ169aVJhg+f/5cred7eXlJk9OmTp0qhEj7jPRff0U4uLqJ2r+fFE9D1Zu8GpeUIjr+dU44uLqJz5eeEwnJmu1rbWnWrJkAINatWydbzJ933xIOrm5iztGHYuvWrQKAMDExET4+PrLEP/MwRDi4uokKk4+Ix8G5L1SQlYTkVHH5aZhY5eEjbryIyFWMAwcOCADC0tLyg79Xv//+uwAgmjRpkm3M/f++FA6ubqL+TPcPToZ8FZMoTZi/4x+Zq/Zr2969e4WhoaEAIDp16iTi4uKyf5IQ4v79+0KhUAgA4tq1axkeO3QrQDi+OZ5N3HNbKJU5n6T6zbrL0vMof4SFhYnq1asLAKJixYoiKChI45ipSpUYuuW6cHB1EzWmH9e574c657hMCgSTAm1QqVRi7Nix7yUB1apVE4MHDxbr168XDx8+FEplzk/gLzx5JZwmp/1ojd9+VRQvaSMAiFWrVsnW7m2XXwgHVzfRYJZ7gT1hy6nIyEhRqVIlAUA4ODhIf6OOHTuKiIjcndQERsaL2r+fFA6ubmL0jn9Fh8WeUvWXnVdfyPwOshYfHy8+/fRTAUCUKFFCPHz4MFdxNm/eLO2X7du3i7G7bgoHVzdRdeox8W8uT/z8wuOkffTTjn9lqYSRn+Li4qQTL7lO2IUQovm8M8LB1U2ceRQiVCqVaNOmjQAg2rdvL9s++n7TVVFm+EbRdPg8MWPGDNG3b1/h7u6eq1jxSaniwpNX4s8Tj0SvVZdEpV+OSomw84zj4lVMotoxmzZtKgAIV1fXD24XFBQk/Q1u3LiR5XYqlUp8sfS8cHB1E8tOe2f7+qN3/FtgT2I3bdok9PT0BADRq1cvkZSUpNbzv/32W+n4l+7w7QDpN+fn3bfUSgiEEOL68wjh4OomnCYfES/CcpagUO5FR0eL+vXrCwCiTJkywtfXV+OYKpVKuP5zW6ooddHnleYNlRmTAjUxKch/s2fPlk6mxowZI44cOSLCw3N/tfhpaIxU/mvMzptCpVKJpUuXCgDC3t5eJCaq/wOcmcSUVNF49inh4OomtlzylSWmLlKpVKJ79+4CgChXrpx49eqV2LZtm9RrUKFCBXH37l21YqakKsWXKy8KB1c38dmStKvgsYkpYtjW69LJ0oyD90RyLntycio5OVl8/vnn0hXXD5005cSECRMEAGFgZCxs+y8WTpOPiNMPgzWKecknTDrZWOP5VKNY+e3kyZPS906uk/XAyHipXGZ6WWBvb29hbGwsAIgdO3aoHTM1NVU8ePBAbN++XUyYMEG0bdtWFC1WPNPeyuDg7P+eMYkp4uyjEDH32EPRffkF6ar627d6M91Fg1nuwsHVTYzbdUut9l68eFEAEIaGhiIgICDb7fv27SsAiO+++y7Lba76hgsHVzdR+ZejIjw2+5Pk9O2rTD0qIuMKTnnmZcuWSX/PQYMG5aq308fHRxgYGAgA4vz588LtduB/F6FykRCkS+9Z/Hm3ep8HUk9CQoJUYrZ48eLiwYMHssSdd+yhdGw6djdQlphyY1KgJiYF+WvVqlXSAXrRokUax4uMSxatFqTVeu+2/IJ0BT8hIUGULl1aABArV67U+HXSbb7kKxxc3UTj2ac+qrryb5s3b54AIIyMjMTVq1el+//991+p18Dc3Fz8888/OY4552jawdN5+vEM9c6VSpVYcspbOnH6erVXjk5QciM1NVX06dNHGnpy7tw5WWK6NEn7sdEvUkysPHo1+yflwMYLz6QfG8/HobLEzA+TJ08WAET//v1li5k+xKXzsvMZ7k8fJmNjY/PB3quEhARx7do1sWbNGjF8+HDRqFEjYWZmlumQRT09fWFYsrwo9kk7UaVq1SzXWoiMTxbu94PFTLf7osuy89IJ4tu3xrNPiTE7b4rtV16Ip6ExQqVSiX9fREjD56765vxCSLdu3bI9yX/bpUuXpM95WFhYptukD3mYtDdnV/5VKpXUu7eugAyhfPsC1OjRo9XqfX5X+joQznUbSUOGxu26JVJzmRAIIcRNv9dSb4Hvq49vHQhdkJycLLp06SIACAsLi/eGgOXW2nNPpe/6jiv519OtLiYFamJSkH92794tjc2cMmWKxvGSU5Wi39rL0g9waHTGHoH0K0Ry9hYkJKeK+jPTrvZt1+EDQW6dOXNG6mbPbOjVq1evROvWrdWaZ5A+XtvB1U0cuZP51ZQT94JE9WnHhIOrm2g697R4GCTv91GlUolhw4alXdU3MBBHjhyRJa7b7UBRbuxuYVi8nAAg6tevL+LjNV+USKVSSePoa/16osAsHNWoUSMBQGzcuFG2mJP2pnXPz3S7n+H+xMREUfXNifvQoUOFEGnD3jw8PMTixYtF//79Rc2aNaUrvO/ezMzMROPGjcXw4cPFmjVrxLVr10RkTKx0keGHhTul78KOf/aLY3cDxYyD90Snv85lmBeTfms277QYv/uW2H3NT/iFx2XZU5L+fjos9szRHKdHjx5Jx82cXuFUqVSiTp06AoCYN2/ee4/7hcdJJ7bqzKHY+mbeVssFZ3N9dTw/qFQq4erqKv2tp02bpnHPlb+/vzA0SuudKtX7DzF2502NEoJ0Azek9RaM3XVT41iUkVKpFN98842UIHt4eMgS95/r/tL3fvnZJ7LEzCtMCtTEpCB/nDx5UhrnOnToUFmGFkw7cFc4uLqJatOOifsB7//93u4tWLFihcavl27d+WfSyWteD3fJTy9fvhSlSpUSAMSAAQOy/BulpKSIcePGST+4nTp1yvJKbcDreOHyW9rQrukHPjzk6HFwtGgx/4z0Nz2aRQKRG+lXsBUKhdi5c6csMS/5hIlKU9LGio9YeVQUK1ZMABB9+/aV5fOdmJIquv7vgnBwdRPtFnmImMSU7J+kRTExMUJfX18AkGW8brr0k3T3++8P4/Hw8JA+h05OTpme/KcPGWjbtq2YMGGC2L59u3j48GGWyex571dSL029L9LGkutblBT2Y3ZnSAJaLTgrJu29Lfb/+1Kt1WnDY5Ok70ROihb88MMPAoDo3Llzjl9DCCE2bNggzQl6973+fvi+cHB1E9+su6xWzJjEFFFj+nHh4Oomznvr3vhpIdJOBIcPHy797efPny9L3GN3g4RVva5pvVMVauS6aMW7br3pLXCc5KZ2cQLKmkqlEiNHjpQuBB0+fFiWuO73g6WewT/eWaVeFzEpUBOTgrx3+fJlYW5uLk3y0rSCjRD/DeMpP8lNHL+XdQWB9N6CsmXLytZbEJ+UKur+kTYZdPc1P1lialtSUpJo3LixACBcXFxyVJkju3kGyalK0X35BWnoR2JK9n/313FJUu+Pg6ub+PPkY42vSKYPhwIg1qxZo1GsdA8Co4Tzm5OjYVuvi1SlSpw5c0a6Kj1nzhxZXic4KkHqmRqy5ZpOX509duyYACDKly8vW8yQqATpex4Zn/k49kGDBmVIAMqVKye6du0qfv31V3Hw4EHh5+en9g/3j9tuCAdXN2E/9h+hb5VWtMC+eU8xdf9dcfh2gAiJStDofW2/8kKqVvKhWEFBQdLcCXWHu8XHx0uJ6sGDB6X7oxOSpRP7M49C1G57+sWYoVuuq/3cvJaSkiJNClYoFLIVmjh+L0hUmHxElB25VRgYm7y3TzX13car0pw4ksfUqVOlz8G2bdtkiXnlWbio/KZowNhdN3X6eJyOSYGamBTkrXv37kk/TO3atZPlxPycd6iUqa84++EKJwkJCaJMmTKy9xas8vARDq5u4tP5Z2S7YqRNo0aNEgCElZWVWlVjPjTPYNaRB1K1FXWqa6SkKsVvh+5LicEPm6/l+ir56tWrZb9i6B8RJ00Y7bXqUoZKVCtXrpR+iOQ6abjxIkLqkfjLPfsqMdoyceJEaTKnXA7dChAOrm6i019ZnxAnJCSILVu2iFOnTmU5fl5dodGJYvSOf8WMg/fEzNXbpb+pl5eXLPGVSpXo8qYX6Kcd/2a53ZQpUwQA0ahRo1xdkUz/m7Rr1066b/2bns7WC3M3BOhxcLQ0Dj4wUvOhcnJJTEyUCiTo6+vLdiJ44k1CkF41zXXSJAFA1KpVS6M5Cm+7+zJS6i14EsLeAk39+eef0nFfrt/9+wFRwnlGWjL93carBWaUAJMCNTEpyDu+vr7S8J2GDRtmu85ATviExoiab76YY3fdzNEP5f/+9z/ZewtiE1PEJ2+GAOz/96UsMbVl+/bt0gH00KFDaj8/s3kGx+8ESCf1x+7mrhb07mt+0slwu0Ueao+r37FjhzQWe/Lkyblqw7siYpNE64Vpw1naL/LM9Or1jz/+KACIIkWKiDt37sjyuruu+kn788QHesa0Kb3c35YtW2SL+cv+O8LB1U38euiebDFzI/3qs7Ozs9rlLLNyxz9Smptwyef9ZCYmJkZYW1sLAGLv3r25eg1fX1/pO/Dw4UORqlRJ5V23eqm3Nsfbeq26JPXk6YLY2FjRrl07qUDCgQMHZIl78n6wVElq5PZ/RUqqUoSHhwtLS0sBQLahiEII8f3ma8LB1U2M2p51kkjZW79+vfRbNGvWLFlivgiLE/Xe9Nj2WnmpQJUkZ1KgJiYFeSMkJESqc1+9enVZruC9jksSLd+ML+6x4mKOhqMIkXYFKb23YPny5Rq3I93/zjyRrrjJMeFMG+7duydVYtFk8ve78wwsKtYXZX/aqfHJ3L8vIqThM7V+PZHjccxubm7SUJ7hw4fLMu4zPilVGg7VePapLK+SJicnS0lS+fLlRWioPNWDpr8ZtlF92jHhnQcLbGkiMjJSmpTr5yffkLq2f3polFjK5dWrV6JEiRICgPjjjz9ki5ue9LT90+O9K4+LFy8WAESlSpU0GnKZXnll1KhR4vi9IOm7FJ+U+5jpPTj1Zrpr/Yrp69evpTUczMzMcr22xLvc30oIRmy7kaFHOL3yVeXKlUVKijxzfe4FREpD5XTt+11Q7NmzRzoO/fzzz7Ic90OiE6REuuNf57IcxqirmBSoiUmB/CIjI0Xt2rWlSW4vX2p+JT05VSn6rPESDq5uosmc02ov/rN8+XIBpC1akpCg2XjgdNEJyVKvxeHb2dcO1zVRUVHSatJt27aVZ67Hlq1C3zBtDLRZiTLi35uaL3QUHJUgDbVwmnxErD//7IMHe09PT2FiYiJN+pWjiz8lVSkGb7oqnVBl96MdHh4uKlSoIACIFi1ayHJ1OTlVKb5afUkatqZLteLd3NykuSVyCYtJlHpH8qpMrTr+/vtv6Up0bhe8e1dkXLK0WN1qz/+G7SUnJ4ty5cplWQVMHelrR1hYWIhuf6Ul2HOPadb+pBSlqPtHWiy329qrzx4aGir91lhZWYmLFy/KEvfUg/8Sgh/fSQiESDt2Fi+etq7Fhg0bZHlNIYQYsuWalISQek6cOCEVM/n+++9lSQgi45OlMrzN550RIdHynDvkJ3XOcfVAJLOEhAR06dIFN2/eRMmSJeHu7o4yZcpoFFMIgV8P3celp+EwM9LHugH1UKKIsVoxBg8ejLJlyyIgIADr16/XqD3pLEwM8V0zRwDAstM+UKmELHHzgxACgwYNgre3N+zt7bF9+3bo6+trHPdF0Too1W8+DK1KIT4sAM2bNcHevXs1imljaYJdQxqhZ52yUKoEfnd7gAn/3EFSqvK9bW/cuIEvvvgCiYmJ6Ny5MzZt2gQ9Pc0OdUIITDt4D6cehsLYQA/rB9RDJRuLDz6nWLFiOHz4MCwtLXHu3DmMHDkSQmj2+TDU18PyvnVQxtoUz8PjMXrnTSh15DN39uxZAECrVq1ki3nVNwIAUMXGAsXMjWSLm1t9+/ZFhw4dkJycjCFDhkClUmkc08rMEJM6VQUA/HXqCYKiEgAAu3fvhp+fH0qVKoX+/ftr9Bpt2rRBlSpVEBMTg3NH9sFAT4H+jR00imlkoIc+DewBAFsvP9coVm75+/ujefPm0m+Nh4cHmjRponFc9wchGP73v0hRCnxe0w5LvvoEBvoZjyGWlpaYNGkSAOC3335DcnKyxq8LAGPaVgYAHLkbBO+QGFliFgaXLl1C9+7dkZKSgl69emHVqlVQKBQaxUxMUeKHzdfxKDgGJYoYY+vgBihlYSJTi3WTVpOCc+fOoXPnzihdujQUCgUOHDiQ4XEhBKZPnw47OzuYmpqibdu2ePLkSYZtIiIi0K9fP1haWsLa2hqDBw9GbGxsPr4Leltqaiq+/vprnDt3DpaWljhx4gQqVaqkcdwtXi+w7YofFApgyde1Uc3OUu0YxsbGmDJlCgBgzpw5SExM1LhdADCoiSMsjA3wOCQGJx+EyBIzP/z555/Yt28fDA0NsWfPHpQsWVLjmCfuB2P9BV8Y2VTANrczaN26NeLi4vDll1/il19+gVL5/kl8TpkY6mNhr1qY9kV16CmAf268xNdrLiM0+r+/48OHD9GxY0fExMSgZcuW2LVrFwwNDTV+X3+deoIdV/2hpwCW9qmNeuWL5eh51apVw86dO6Gnp4e1a9fif//7n8ZtKV7EGGv614WJoR48vV9h/olHGseUQ14kBVfeJAUNnXK2v/OaQqHAqlWrYGZmhvPnz2PdunWyxP2yTlnUdSiK+GQlZh55CCEEFixYAAAYNWoUTE1NNYqvp6eHESNGAABi/nVDJ2db2FlpFhMA+jQoBz0FcPlZBHxC8/cE9tGjR2jatCkeP36MsmXL4ty5c/jkk080jrv7mj+G/X0DyUoVOjnb4q+v308I0v3444+ws7PDixcvZPssVLOzRCdnWwgBLDn1JPsnEO7cuYPPP/8c8fHx6NixI/7++2+NL3ClKlUYuf1fXH0eAQsTA2z5rgEcipvL1GIdlqd9Ftk4evSo+OWXX8S+ffsEALF///4Mj8+dO1dYWVmJAwcOiNu3b4suXboIR0fHDEM/OnbsKFxcXMTly5fF+fPnRcWKFUWfPn3UageHD8lDqVSKAQMGyL5IiOfjUGmRnVUeOa+Kk5nExERRtmxZAUAsW7ZMlvYJIcTCE4+kCim6XrNYiLTa7un15OWqzOAXHicNpfrjcNoiU5mtZ/D69WuNX8vjUbCoOvZvYdN3rnDs+bP4fvTPom/fvtIaC/Xq1RPR0ZqNyU1IThUvwuLEGs//Vq38+3LuJmYuXLhQABB6enri5MmTGrUrXfqYbgdXN3HgpnYnukdEREiTWQMC5BtGl95tr2tD89LH+ltaWsr2fu8FRErHuT837JbGx4eH53zV4w/x8Q8RCqO08sGrd8hXSjN9cuyMg/k3EfzatWvS/I4qVaqIFy80X0RSpVJJc8QcXN3E+N23cjRXIr2IhZ2dnSyLFgohxKOgaGkC+oNAnpd8iLe3t7CxSSsZ3LRp0xyV0s6OUqkS43alLRxZ+Zej4sozeb6D2lIg5xS8mxSoVCpha2srFixYIN0XGRkpjI2NxY4dO4QQQjx48EAAyLBk9bFjx4RCoVDrQM2kQHMqlUqMHTtWKgUnVynGJyExUgmwcbtuyXLCvWLFCgFAlC5dWra5BRGxSdJqvJktsKRLAgICpIPot99+K8s+TUpRii7LzgsHVzfRbfmF935M317PoGLFiuLevexPIOLi4sS9e/fEoUOHxOLFi8WoUaPEZ599JqpWrSrVbc/sVr16dfHqVdaTkVOVKhESnSDu+EcK9/vBYqvXc7HwxCMxYc8t8e36K6LDYk9pYam3b4s0qLKiUqnEwIEDBQBhbW0tHj+Wp2LLnKMPhYOrm6gy9ai4+zJSlpi5cfDgQWnSpVxexyVJJ0a6No43NTVVqrTUo0cP2eLOOHhPOLi6iaKV6goAYvTo0bLFXnjikShS+3MBQHTv3l22uJ6PQ9PKDk8/LmLzYXG9M2fOiCJFiggAom7durJM4lcqVeLXQ/ek7/qcow9zfFxMSkqSSjIvXLhQ47akS18nI7/WglCpVCI0NFRcvXpV7N27V+M5M/FJqeJhUJQ4djdIrPLwEZP23hF/uXvL+hnx9/eX9v0nn3wiywUnlUolZrrdl+avnXqg27/nOaHOOa5BHnZCaMTX1xfBwcFo27atdJ+VlRUaNmwILy8vfP311/Dy8oK1tTXq1asnbdO2bVvo6enhypUr6N69e6axk5KSkJSUJP1/dHR03r2RQmLu3LlYvHgxAGDDhg3o0qWLxjFfxyVj8OZriElMRT2Hopjdw1njMYIA8N1332HOnDnw9/fH2rVrMWrUKI1jFjU3wreNy2OV51MsO/MEbaqVkqWtcktJSUHv3r0REhKCmjVryjLuEgBmH32I2y+jYGVqiGV9asPwne72vn37olq1aujevTt8fHzQsGFDbN68GU2bNsWzZ8/w9OlTPHv2LMO/g4KCPviaBgYGKFfOAUmmJRBlWBQG1nbo2KgWJg/5Go9eAyEvXiI4OhGh0YkIjk5ESHQSQqITERqTlONx+CaGerC1NEG32mXwU5vcD4NLH3bi7e2NS5cuoXPnzrhy5Qqsra1zHRMAJnSogkfB0fB4/ApDt97AwZFN1Z5rI4e8mk8gBOBU0lznxvHq6+tj7dq1qFevHvbt24f9+/dn+XujjnHtK2P38XN48eQG9PT0MXbsWBlamzY2etsVP1jU+RyxN4/g4MGD8PPzQ7ly5TSO3axiCZQvbobn4fE4eCsQfRtqHjMrBw4cwNdff42kpCS0atUKBw4cgKWl+kNJ35acqsKEf27j4K1AAMDUz6vh++ZOOX6+kZERZsyYge+++w5z587FkCFDYGHx4flGOTGmTSUcvRuE4/eDcT8wCjVKW2kUTwiBkJAQPH/+HC9evMjw3/R/x8fHS9vr6elh1KhR+P3337Pcx/HJqXgeFo8X4XF4Hp72X9+wOLwIj0dwdObDc3df98fMbs5oVbWURu9l9+7dGDt2LIKCglCpUiUcP35c4+NpXFIqFpx4jE2XngMA5veshTbVbDSKWdDobFIQHBwMALCxyfgHsbGxkR4LDg5GqVIZP1gGBgYoVqyYtE1m5syZg99++03mFhdea9askcbqL1q0SONJcUDagXr4tht4ER6PskVNsfrbujA20HwSLPDf3ILhw4djzpw5+OGHH2BiovlJx/fNHbHpki9uv4yCp/crtKyS+4NeXpk4cSIuXrwIS0tL7N27F2ZmZhrHPHY3SDqILurtgrJFM49Zu3ZtXL9+HV999RXOnDmDL7/8MtvYVlZWqFChAipUqAAnJyc4OTlJ/7a3t4eBgQFUKoG/Tnlj6RkfeAmgy+ob2cbVUwAlLYxhY2ny5mYMW+nfJrC1SvuvpYmBbMmdsbEx9u3bh/r168Pb2xvt2rXD8OHD0blz51zP59DXU2DJ17XRbflF+IbFYfCmaxjYtDwaO5WArVX+nUjn5STjho7FZYspJxcXF0yYMAFz5szBiBEj0Lp1a1hZaXbiZmliiBK+JwAARao1h6G1PCckB24GICIuGY4Vq6Bqq9Y4e/YMVq1ahdmzZ2scW09PgW8aOWDmkYfY4vUcfRrY58kFkU2bNmHw4MFQqVTo1q0bduzYofFxOy4pFcP+voHzT8JgoKfAgl610L12WbXjfPvtt5g7dy68vb2xZMkSTJ06VaN2AUAlGwt8Uas0Dt8OxJJTT7Cmf70Pbq9SqRAUFJTpyf7z58/h5+eXo3l0dnZ2KFmyJO7cuYMlS5Zg9549mDBjDio1bIsXEW8SgLB4PA+PQ2hM0gdjWZoYwLGEORyKm6NsUVMcvhMI/4gEDNp0DZ1dSmP6F9VR0kK9ixje3t4YMWIETp06BQCoXLky3N3d3ztXVIcQAm53gjDryEMpmZn6eTX0rKv+Z6GgUwihYTkMmSgUCuzfvx/dunUDkDaTvGnTpggMDISdnZ20Xe/evaFQKLBr1y7Mnj0bmzdvxuPHjzPEKlWqFH777TcMHz4809fKrKfA3t4eUVFRGl91KGz27NmDr776CkII/PLLL5g5c6bGMYUQmLL/HnZc9YO5kT72/dgUVWw1v/LytuTkZFSsWBH+/v5YunSpLL0FADDT7QHWXfBFnXLW2Du8iU71FuzevRtfffUVgLQrbl27dtU4pl94PD5feh4xSakY2sIJkz+rlu1zUlNTMWnSJKlnyd7ePtOTficnJxQrlvMJpkfvBmHGoftITFG+c4L/38l/+v0lihhlOXkwr926dQvNmjVDXFwcgLQrck2bNkW3bt3QtWtXVKhQQe2YPqEx6Lb8EmKTUqX7nEqao7FTcTSpUAKNnIqheB71IISHh6NEiRIA0i7UaPLj/LbOyy7gbkAUlnz9Cbp+oln1srySkJAAFxcXPHnyBMOGDcPKlSs1ivf8+XNUrFgRSqUSdgOXoEvrplj1bV2NYgoh0OGvc/AOicUvn1VDifDb6NGjB0qUKAF/f39ZLohExiej4ezTSEpVYe/wxqjrIO/E8EWLFmH8+PEAgEGDBmHNmjUwMNDsmmZ4bBK+23QNt19GwdRQHyu/qaPRhZydO3eiT58+sLKygq+vL4oWLapR+4C073W7xecgBOA2qhmcy2RMOh89eoQpU6bgzp078PPzQ0pKygfjKRQKlClTBuXLl0f58uXh4OCQ4d/29vZIgT7+d8YHR48dx7XtC5EUkdaDYupUD0XbDYOhtW2GmEXNDOFQ3Bzli5uhfAlzlC9uDofiZihf3BxF36kYFp+cisXu3lh/wRcqAViZGuKXz6uhV92y2f5WJiQkYM6cOZg3bx6Sk5Oli3sTJ07U6DP8JCQGM95UNgSAcsXMMKNz9Y+qhyA6OhpWVlY5O8fNw2FMasE7cwqePn0qAIibN29m2K5FixbSOMv169cLa2vrDI+npKQIfX19sW/fvhy/NucU5M7JkyelmsBDhw6VbYLthgvPpAVc8nI836pVq2SfIBYSlSAq/ZK2Au+FJzlbZCs/3L9/X5ibmwsAYtKkSbLETExJFV8sPS8tJKfuAkbR0dGyrQybriBM8hZCiGfPnok//vhD1K1b9705Ec7OzmLq1Kni+vXrar2fJyHRYvbRB6LzsvPSWPy3bx0We4rfDt0X7veDRVSCfOsb7N27V5rLIZeohGRp0m1QpG7NJ3jX2bNnpb/duXPnNIo1evRoAUA0adFKOE1Oq5F/9lGIRjHPeaeN+a827ZiIjE8WKSkpwt7eXgAQmzdv1ij2237enTYxc8zOm7LFVKlUYvLkydL+HT9+vCzfcf+IONHqzSKYn/x2Qvz7IkLjmEqlUtSsWVPjRSDf9dOOf4WDq5sYvOmqdF9qaqr4888/pbVY0m/6+vqifPny4tNPPxUDBgwQ06dPFxs2bBBnzpwRT58+zfZ4e9HnlWgy57R0zLAft1dYNflaKPTTFoE0MDIRXwweL/ZcfSZu+b3O9Topd/wjxWdLzkmv02eNl/B9lfVq9UeOHBGOjo7S++zYsaPw8dGs6EhMYoqY6XZfVHjzPav8y1Hxl7t3gVqpOKc+qonGb0/ciYqKynSi8fXr/03EOXHiBCca54PLly9LJ5m9e/eWZdErIYQ4+yhEOhlY4/lUlphZSUpKkhYHWrJkiWxx0ycL9l51SbaYmoiOjhZVq1YVAETr1q1lW31z2pvVdT/57YQIeC1PUlUYvXjxQixbtky0adNGqgiVfrO3txcjR44Up06dEsnJOf8BjoxLFifuBYkZB+9JFXzevjlOchNd/ndBzD32UHg+DhVxSbn/TIwaNUoAED/++GOuY7zrzMMQ4eDqJlrMPyNbzLz0/fffCwCiatWquS5eEBYWJq0sfvLkSfHH4fvSInWanKgM3HDlvepAs2fPFgBE/fr1cx33Xbf8XgsHVzdRacpREabmwpKZSU1NFUOHDpW+C7Nnz5YlIXgYFCUazHKXFsF8EhKjccx0Bw4cEACEubm5CAnRLJlL9zQ0RvpNvO3/Wjx58kQ0a9ZM2i8dOnQQZ8+eFc+fP8/1sT0hOTXDROvm886IvTf8xR3/SBGVkCwePnwoWrZsKb1mjRo1xPnz5zV6XympSrHKw0dUmXpUOilffvZJhotLL168EN27d5det2zZsmLv3r0afQ5UKpU4cPOl9BlIS7iuCb9wzasW6aoCkxTExMSImzdvips3bwoAYtGiReLmzZtSebG5c+cKa2trcfDgQXHnzh3RtWvXTEuS1q5dW1y5ckVcuHBBVKpUiSVJ89i9e/dEsWLFBADRvn172a72PgmJFs7T0yoN/bxbnkpD2Vm9erXsvQWBkfGi0pS0A93lp2GyxMwtlUolvvzyS2klZ7l+qA7f/q8c5hkNr2TSfyIiIsTWrVtFz549paQ7/WZtbS2++eYb8c8//4iYGPVOZF7FJIrDtwPE5H13RMs3V0jfvlWcckT0WnlJLDr5WFx+GiYSU3J+Eurs7CwAiD179qj7drM0++gD4eDqJibsuSVbzLwUEREhVfSaNm1armL88ccfUhUVlUolohOSRf2ZaScuS0955yrmk5AYqdf17SuxoaGhwsjISAAQV65cyVXszHR+U4FsxVnNruImJSWJ3r17CwBCoVCI1atXy9K+K8/CpWp27RZ5iMBIeS9mqFQqqSrV2LFjZYs7dudNUW7iIdGw389S4likSBGxZs0ajX8nb/q9Fq0W/ndMmLzvTqYVglQqldiyZYsoWbKkdEwaPHiwCAvT7DfueVis6Lf2svT6Hf86J64/CxXz5s2T3quBgYGYMGGC2se9dz0OjpZWhE+/6HDm4cf/+1VgkoK3u13fvg0YMEAIkfYhnDZtmrCxsRHGxsaiTZs275XyCw8PF3369BFFihQRlpaWYtCgQWp/cJgUZC8kOkGM2XlTjFh9TFiXSPvxq1e/ocZf0nQRsUmi+bwzwsHVTfRaeUmtkxJNvN1b8Ndff8kWd8q+O8LB1U30W3tZtpi5sWjRIgFAGBoaCi8vL1li+r6KFTXeJG9zj2lWto6yFh8fLw4fPiwGDx6c4YcYgDA2NhZffPGFWLt2rQgOVn+IXWBkvNh7w1+M331LNJ596r0kocrUo+KbdZfF8rNPxKOgrNd7CA0Nldr0oTKw6ur6vwvCwdVN/HPdX7aYeW3Pnj3Sd+3u3btqPTc+Pl76G2/btk26/+CbtSgq/3I0V1cyf9l/R7oS+q7+/ftLZYnlsuuan3BwdRNN554WqcrcnazGxMSI9u3bS/ty9+7dsrTt5P1gUfnN0M6eKy7meuhLdk6cOCF9R/395fn8nrtxX5g4uEjftVatWglfX1+NYialKMWfJx5Jw9Tqz3TP0QWe8PBw8cMPP0htKV68uNi4caPGV+//ue4vXH47IWz6zhWGJcpJ8Zs1a6b29+ld0QnJ4o/D96X3WmXqUbH01Mc5VCgz6pzj6sxEY21SaxJGARAQEIDly5dDX18fFhYWKFKkCIoUKSL9O7P7jI0/PAlxyv672HrmDoK3TUTq60AYligHm77zUKpEcVSyKYLKNhaoZGOByqXS/v3uBKMPSU5V4dv1V3DFNwL2xUxx4MemeTYpMjNr1qzB0KFDYWtri2fPnmm8eigAvHwdj5YLPJCqEtg7vAnqOmg+6Uxd58+fR6tWraBUKrFs2TKMHDlS45iJKUr0WHEJD4KiUb98Uez4oZHWJuwWJkqlEl5eXjhw4AAOHDiAp0+fSo8pFAo0adIE3bp1Q+/evdUuMymEgF9EPC49Dcelp+HwehqGsNhk6XE9BbB+QP1MSwju2bMHvXv3Rs2aNXHnzp3cv8G3xCWlotZvJ6FUCVxwbZVlNStdI4RAt27dcOjQITRq1AgXLlzI8aqqq1evxrBhw1CuXDn4+PhIq3ALIdB37RV4PQtH22o2WDfgwxVo3hYZn4zGc84gIUWJ7T80RJMKJTI8fu3aNTRo0ABGRkbw9/d/r5JfbiQkK9FozmlEJaRgw8B6aF1VvcmaERER+Pzzz3H58mWYmZlh//79aN++vcbt2nXND5P33YVKAG2rlcKyPnVgaiRPNbt3CSHQsmVLnDt3DkOHDsWqVas0irVu3TqMGzcOsbGxUBgao37vUfDaMg96erk/7j4OjsG43bdwPzCtHHsXl9L4vWsNWJvl/Hf70qVLGDp0KO7duwcAaNGiBVatWoVq1bIvNpGZkJAQ/DR2PHbt2AYA0DO1hNPnw7Dmj3FopebnKJ0QAgdvBWLW0Yd49aZSUvvqNpj2RXXYFysYxxU5qHOOy6QAH1dSkJiYiKZNm+Lff/9V63mGhoZZJg+GJqZwfxKNeL/7SAl7gSLF7VBt6GKEKotkGa9EEWNUlpKFtP9WLmUBKzPDDNsJITB5313svOaPIsYG2PdjE1S2kbfSUHaSk5NRuXJlvHjxAosXL8aYMWNkiev6zx3suu6PllVKYtOgBrLEzKmgoCDUqVMHwcHB6Nu3L/7++29ZKiH9sv8utl3xQzFzIxwd3Txfy15SGiEE7t+/LyUIN278V4LV3Nwcly5dQq1atTSK/yQ0Fl5Pw3HkbhCu+kagbFFTuI/99L0TqREjRmDFihUYNWoUli5dmuvXfNs571fov+Eqylib4uKk1rLEzC8vX75E9erVERMTk+NEXKlUomrVqvDx8cFff/2Fn376KcPjPqEx6PjXeaSqBNYPqJfjqigrPZ5i3vFHqGZniaOjm2X6/W/YsCGuXr2KWbNmSWWlNZVega1VlZLYqMZxLzAwEO3bt8f9+/dRtGhRHD16FI0aNdKoLUIIrPB4igUn0ioU9qpbFnN61MzzCxnnz59HixYtYGBggMePH8PJKefrHqR7+fIlvv/+e5w4kVaitl7Dxgj55DvoWdvl+kKTUiWw7vwz/HnSG8lKFazNDDGzmzO+qFVa7VhA2ro3f/31F3799VfEx8fD0NAQEyZMwNSpU3N8cU2pVEplzSMjI6FQKND5q/4IqtQNoclp5wtdPymNaV9UV2sNlkfB0Zh+8L5U2rh8cTP82qWGTpYKz2tMCtT0MSUF6T/SxYsXR58+fRAbG4uYmJgM/3373wkJCWrFL1WqFC5cuIBKlSohPjkVPqGx8A6JxZOQGHiHxMA7JBYBkVnHLGVhnCFRCIxMwLIzPh+8Gpkf1q5diyFDhsjaW/AiPA6t//SEUiVwcERTuNhba97QHEhJSUGbNm1w/vx5ODs74/LlyzA3N9c47sFbAfhp5y0oFMCmQQ3waeXc1dYnefn7++PgwYNYt24dbt++jbp16+Ly5csal2wE0koItv3TE4FRiRjVuiLGt6+S4fHq1avj4cOH2LdvnyyLdwHAghOPsPzsU/SoUwaLen8iS8z8tGLFCowYMQJFihTBgwcPYG9v/8Ht9+3bh549e6Jo0aLw8/NDkSLvX2yZc+whVns+g32xtOTMxPDDV7lTlCo0n3cWwdGJWPBlLfSql3kbtm7div79+6Ns2bLw9fWV5TPjGxaHVgs9oFAA5ya0ytEVWR8fH7Rr1w7Pnz+HnZ0dTp48CWdnZ43aoVIJ/O72QFpDZXjLCpjYoUq+lYnu2LEjTpw4gf79+2Pz5s05fp4QAlu2bMFPP/2EqKgoGBsbY9asWRgzZgwm77+H3ddfonmlEtg6uKFa7fELj8f4Pbdw7flrAEDrqqUwt0dNlLLU/MLOixcvMGrUKBw+fBgA4OTkhOXLl6Njx44ffN7169cxfPhwXL9+HUDaWjYrV65Ew4YNEZ+cikUnvbHhYlr5UmszQ0z9vDp61inzwb9hdGIK/nJ/gs1ez6FUCZgY6mFU60r4vrmjbGsdFTQFsiSpNn0scwp27NghjcM7duxYjp6TmpoqIiMjxcuXL8XDhw/FtWvXxNmzZ8WhQ4fE9u3bxf9WrBRlOgwRVs36ia+GjBVPnjzJNmZMYoq46fda7LrqJ/44fF98u/6KaJTJuOW3b2vP5W2loewkJSWJ8uXLCwBi8eLFssUdu+vme+Xk8tq4ceMEAGFpafneHJzc8gmNEdWnHRMOrm5iwfFHssQkeQUGBgpra2sBQMydO1e2uMfuBklVZZ6G/jeHKCgoSJoIGh4eLtvr9VxxUTi4uoldV/1ki5mflEqlaNKkiQAgvvjiiw+OtVapVKJhw4YCgPjll1+y3C42MUU6hv55MvvvdPpchLp/nPzg/KzExERpLsPevXuzjZtT36xLmzg652j2c45u3bolTdKuWLGiePbsmcavn5SiFKO2/yv9vqw7r3lMdV27dk0AEHp6euLBgwc5ek5QUJDo3Lmz9Dtev379DM/1C4+TSmhef56z75xKpRJ/X34uqr05flefdkzsvPpC9kIeKpVK7N+/X5QtW1Zqf+/evTOtBPn69Wvx448/CoVCIf1WLVu2LNMqhrf9X4uOf/1XvrTf2sviedj75UtVKpXYe8Nf1P3jv6pCQ7dcF/4RH29VoZwqMBONdcXHkBQ8evRIFClSJNsfF3Vtu/xCKt2WomYd+ndFJSSL688jxI4rL8Rvh+6Lb9ZdFk3mnBYz3e7rRH35tWvXCgDCxsZGxMXJcyDxCY2RasbffRkpS8wP2bVrl3RAVmetjg9JSE6Vylr2XnVJ488B5Z1NmzZJkxwfPpRnErhKpRID3pS1/GbdZem7mn4R4pNPPpHldYQQIj4pVVScknbSk9kPf0Fx//59aQ2XnTt3ZrnduXPnpL9XdhPGj9wJTEvOfjn6wZruKpVKdHkzUXuxe/YJxC+//CIAiJYtW2a7bU4dv5eWSNb+/eQHJ3OeO3dOWFlZCQDCxcUlV5Pm3xWTmCIlJRUmHxEHbr7UOGZudevWTQAQvXr1+uB2KpVK7NixQ6rqZ2hoKGbNmpVpiVHXf27nuIhFUGSC6L/+inSS3HvVpTwvvRkdHS3GjRsnlVe2sLAQS5cuFampqVIFo1KlSkm/U/369RNBQUEfjJmcqhQrzvpIE8WrTD0qVnr4SL9F9wOixJcrL0rvs9WCs8LzcWievs+ChEmBmgp6UhAXFyctmtKyZUvZ6tArlSqpVJm2r+Tnh+TkZKm3YNGiRbLFTb9iNXTL9ew31sDp06elMoMTJ06UJWaqUiVGbLshHFzdRJ3fT4rgKN1eSKqwU6lUolOnTgKAaNy4sWzrhzwPi5UW5XO7HSiEEGLIkCECgBgzZowsryGEEBefvBIOrm6i4axTOnGhQBO//vqrACBKlSqVZU9K+lXhIUOGZBtPpVJJJ7sDNlzJcv9cfx4h9ey8ysF6AX5+ftIJnKZVXtKlpCqlno19/2ZegcfNzU1afKtZs2bi9evXGr9uWEyiVBa12rRjwkPLJ4Z3796Vrob/+++/mW4TGhoqlY0GIGrXri3u3LmTZcy3ewuuPMv8c5Vei7/WryekRHLtuadCmcuKULlx8+ZN0aBBA+l91a1bV3z66afS/1etWlWcOaPeOiS+r2JFnzVe0sl/p7/OiSn77kjrOFSdekwsP/sk36oXFhTqnOOybMhHYPTo0bh79y5sbGywfft2WcaFAsDZx6F49ioOFsYG+Kr+h8fFfgwMDQ0xdepUAMC8efMQHx8vS9yRrSsCAI7fD8bj4BhZYr7r2rVr6Nq1K5KTk9G9e3fMmjVL45hCCEw9cBdud4JgqK/A0j61YSPD+FPKOwqFAqtXr4aFhQW8vLywbNkyWeI6FDfH8E8rAAD+cHuA2KRUeHh4AABatWoly2sAwOU3kwIbOhXLt7HfeWXSpEmoVq0aQkND8fPPP7/3+IMHD3D48GEoFAqMHz8+23gKhQK/dakBI309eDx+hZMPQjLdbsMFXwBpkzNzMjHT3t4e3bp1AwAsX7482+1zwkBfD30bpFXB2ur14r3Ht23bhm7duiExMRGff/45Tpw4AWtra41e0z8iHl+u8sKdl1EoamaI7T800vq8J2dnZ/Tp0wcAMH369Pce379/P2rUqIF//vkHBgYGmDFjBq5cuYKaNWtmGdO+mJk0R2Sxu/d7j0fEJWPk9pv4aectRCWkoFZZKxwd3QzfN3eCnl7+fac++eQTXLp0CStWrICVlRVu3LgBT09PmJqaYvbs2bh9+7bax47yJcyx7fuGWPBlLViZGuJBUDS2XfGDSgCf17TD6fGf4seWFQvt3AFZ5H2OovsKck9B+nABPT09cfr0aVlj916VtsjH7CM5Gw/5MXi7t+DPP/+ULe7wv68LB1c3MWLbDdlipnvw4IEoXry4ACDatGmT6xVV36ZSqcSsIw+k1W/Trw5TwZC+KJ+pqanw8dFsIal0CcmposX8tLVEJm4+Kx135LjCmy79mLPt8gvZYmrTxYsXpSvFp06dyvDYd999JwCI7t27qxVzwfFH0pDOd1ei9o+Ik66aPgjM+e9Z+ppBZmZmsv09Q6ITpCva9wL+Gzq5bNmyDENH1FmpOysPAqOkhd6azDktfELlW6VYU97e3lJPTPpaMeHh4aJfv34ZVgi+cSPnvw0vX8dLw+y83log89SDYGlMfYXJR8Ri98cZVgjWlqCgIPH999+Lfv36aby+QrpXMYli3K5botvyC+K8t3xrpHyMOHxITQU1Kbh7964wNTUVAMTvv/8ua+w7/pHSgUXuVR913bp166Ruf7nmFtwPiJJWFn0SIt8P1vPnz0WZMmUEANGgQQMRHZ31QlPq+N+ZJ1IXbUGd8FmYqVQq0bp1a2lIoVIpz4nBmUchwsHVTZTs/LM0JEAuCcmp0hAlXTqp09SIESMEAFGhQgVp1fSAgABpzsGlS5fUiheflCqazDktHFzdxPzjGeeNpCfyfdaot1ChSqUSNWrUkH0Rxx/fDD2ctPeOuHHjhpQIARCjRo3S+HMZn5Qq9lz3l1Ypbr/IUwRF6t4Qx8GDB0sXbdzc3ISdnZ2UVE+aNEkkJmY/zOtd6QvT9V51SUQnJIuJe25Lx+y2f3qIO/55P4eNCgYOHyoEYmNj0atXLyQkJKB9+/b45ZdfZI2/9vwzAMAXtexgZ6V5ec6CpH///nB0dERoaChWrlwpS8zqpS3RrroNhACWn/WRJWZISAjatWuHgIAAVK9eHUePHoWFheZrPGy+9Fyq6z3182roXQiGjn1sFAoF1q5dCzMzM3h4eGDNmjWyxG1VpRQ61LBBwou0hcpatmwpS1wAuO0fieRUFUoUMYZTCc1L6OqK2bNno0yZMnj69Cl+++03AMDSpUuRkpKCZs2aoXHjxmrFMzXSx4zO1QEAa849w9NXsQDSFn3bcdUPADC4maNaMRUKhbSmwvLly6FSqdR6fla6VrNCzL9uWDyiO+rWrYsNGzYAAH777TcsWbIkVwtwCSFw2z8Sv+y/iwazTuHnPbcRk5iK+uWLYvfQxjq5dsr06dNhZGSE06dP44svvkBQUBCqVKmCixcvYs6cOdkuHpqZEa0qwkhfD1d8I9BqoSd2XfeHQgH80NwRh0c1Q82yVnnwTuhjx6SgABJCYNiwYXj06BHKlCmDv//+W6PVDd8VEJmAI3eDAADfN1d/0ZWC7u25BfPnz0dcXJwscUe3rgQgrd7/8zDNYkZGRqJjx4548uQJHBwccPLkSRQvXlzjNu698RIzDt1Pa2+bSoXy7/+xcHJywpw5cwAAEyZMgJ+fnyxxp3eugSS/tKTAyD7rsc/quvIRzSd4m6WlJVasWAEAWLhwIc6dOyddbJgwYUKuYrarboNWVUoiRSnw66H7EELgnxsvEZOYCscS5miViwWavvnmG1haWuLJkydwd3fPVbsAQKVS4ezZs/jmm2/QtYkzItxXISn4KQwMjfDVV1/h7NmzmD59utp/44i4ZGy44ItOS86j6/KL2HbFDzFJqbAvZoqf21fG1sEN31scU1eUK1cOQ4YMAZCWgI0bNw43b97UaHE2OytTfN0g7YJNWGwSyhY1xc4fGuGXz6tnu44FUVaYFBRA69atw7Zt26Cvr4+dO3eiZEl5J1NtvOALpUqgSYXicC5TOK82fPvtt3ByckJoaKhGy9S/rWZZK7SqUhIqDXsL4uPj0blzZ9y6dQs2NjY4deoUypQpo3H7TtwPxsS9aSd7g5qWx9i2lTSOSdo1cuRING3aFLGxsRgyZAiEDGtVKqNfISUyGFDo4dgrK0QlpMjQUuCKbzgAoJFjMVni6ZIuXbqgV69eUCqV6NChA6Kjo1G1alV88cUXuYqnUCjwa5caMDLQw/knYXC7E4SNF9MmGA9qWj5XE0qLFCmCQYMGAQD+97//qf38gIAAzJ49G5UqVULr1q2xbds2JCYmomyFKijaZggaT92NHTt2qNW7pFQJeDwOxYht/6LR7NP43e0BHgXHwNhAD90+KY3t3zeE58+tMLJ1JZ0/EZ4zZw5mzpyJCxcu4M8//5RlgcxRrSuheaUSGNikPI6PaYGGTppfGKLCjSsao2CtaHzr1i00atQISUlJmDdvHiZOnChr/OjEFDSZcwaxSanYOFB7Kwzrgo0bN+K7775DyZIl4evrK8uqwP/6vUaPFZegr6eAx88tc7Ta59tSUlLQrVs3HD16FFZWVvD09ISLi4vG7brwJAzfbbqGZKUKX9Yti/k9a+VrpQrKO48fP4aLiwuSkpKwceNGDBw4UKN4W7ZswYABA2BZrhqK9lmA/o0d8HtXzVafTU5VodZvJ5CYosLJsS1Q2UbzYXC6Jjg4GNWqVUNkZCSAtIs7gwcP1ijmYndvLDn9BCaGekhMUcHSxABek9vA3Dh3Fei8vb1RpUraqr8+Pj5wcvpwT2FKSgqOHDmC9evX4+jRo9KwIwsLC/Tt2xeDBw9GFWcXNJpzBvHJSmz/oSGaVCiRbTv8wuOx54Y//rnxEkFRidL9NctYoXd9e3RxKQ0rU93sFSDSNeqc47KnoACJjo5Gr169kJSUhC+++CLTMnea2nnVD7FJqahUqojWy7lp2zfffAMnJye8evVKtrkFdcoVRfNKJaBUCazweKrWc1UqFQYMGICjR4/C1NQUR44ckSUhuPHiNYZsvY5kpQoda9hibo+aTAg+IlWqVMHvv/8OABg7diwCAwM1inf27FkAQJeObQEAWy+/wN2XURrFvBsQicQUFYqZG6FSqSIaxdJVtra2WLhwIQDAzs4O33zzjcYxh7esgHLFzJCYknYy3qdBuVwnBABQuXJldOjQAUKIDx7zHj9+DFdXV9jb26N79+5wc3ODSqVCs2bNsGnTJgQFBWHVqlWoX78+LE2N0L12Wk/m35ffL0+aLjFFiQM3A9B37WW0WHAWy874ICgqEVamhhjYpDyOjm6Ow6Oa4dtGDkwIiPIIk4ICQgiB77//Hj4+PihXrhw2b94s6zwCAEhRqrDx4nMAwPfNHQv9iaGhoSGmTZsGQN65BaPezC3454Y/AiITcvQcIQRGjRqFHTt2wMDAAHv37kXTpk01bsvDoGgM2ngV8clKNK9UAkv6fAIDfR4WPjbjxo1D/fr1ERkZiWHDhmk0jCg9KejX/TN0/aQ0hACmHrwHlSr3MS8/S5tP0KD8xzWf4F3fffcd9uzZA3d391xNLn2XiaE+fu2SNulYX0+B/k3KaxwzfcLx+vXrM6zVEhcXh82bN6N58+aoWrUq5s+fj5CQENjY2GDixIl49OgRzp8/jwEDBrzXq/pNIwcAwMn7IQiJ/u/KvxACd19GYeqBu6g/6xTG7LqFS0/DoVAAzSuVwLI+tXFlShv82qUGqpfW7V58oo+BPKtcUZ5bvnw59uzZA0NDQ+zevRvFisk/7vbInSAERSWiRBEjdP1E8zHqH4NvvvkGM2fOxNOnT7FixYpcTwx8WwPHYmjkVAyXn0VgtefTHA29mD59OlasWAGFQoGtW7eiU6dOGrfDNywO366/iujEVNR1KIrV39bloi8fKQMDA2zYsAF16tTB4cOHsXPnTmlRJXU8f/4cL168gIGBAZo1a4Y6KgOceRiK2/6R2HnNH30blstV+96eZPwxUygU+PLLL2WN2bqqDRb1doGFiSHKWGs+Tr1Tp05wdHSEr68vtm/fDhcXF6xbtw47duxATEza4ot6enr47LPPMHjwYHz++ecwNPzwlftqdpao51AU11+8xs6r/ujf2AEHbgVg9/WXeBgULW1XxtoUveqVxZd1y6JsUfWGVhKR5nhJsAC4du0axo0bBwBYsGABGjZsKPtrCCGkMqQDGpfX+Ulb+cXAwECqRDRz5kz873//Q3JyssZx0ysR7bzqj40XfZGUqsxy28WLF2PmzJkAgBUrVuDrr7/W+PUDIxPwzborCItNQnU7S2wYWB9mRrxG8DFzdnaWer5GjRqF0NBQtWOk9xLUr18fRYoUQSlLE4xtVxkAMO/4I4THJqkdM1Wpwo3nb5ICR06UzI0edcqiXXUbWWLp6+vjxx9/BAD8+OOPaNCgAdasWYOYmBhUqFABs2bNgp+fHw4fPoxu3bplmxCk+7ZxWm/B6nNP0XD2afx2+AEeBkXDyEAPnV1K4+/BDXF+YiuMaVuZCQGRljAp0HGvX79Gr169kJKSgh49emD06NF58jpez8JxPzAaJoZ6Ulcvpfnmm2/QsGFDREdHY9SoUahSpQq2bNkCpTLrE/nsNK5QHK2qlESyUoXfDj9Amz89sf/my/eGYGzatElKCGfNmoVhw4Zp9F6AtPJ136y/goDIBDiVMMeWwQ04RreQmDRpElxcXBAeHo5Ro0ap/fz0pKBVq1bSff0bO6CanSWiElIw7/gjtWPeC4xGXLISVqaGqGr78U0wLoi+++47mJmZISUlBcbGxujXrx/OnDkDb29vTJkyJVfVzjo626K4uRHik5VIVqpQ3c4Sv3WpgatT2mBZn9poVqlEoR+ySqRtTAp0mBACAwcOxIsXL+Dk5IQNGzbk2XjbtefSegl61bVHUXOjPHmNgsrAwADnzp3DihUrYGtri+fPn2PAgAFwcXHBgQMHcjU+W6FQYE3/epjdvSZKWRjj5esEjN11G58tPY+zj0IhhMCBAwek6iTjx4/H5MmTNX4vUQkp6L/+Kp69ikMZa1P8/X1DlCii+dhmKhgMDQ2xYcMG6OvrY/fu3di3b1+OnyuEkJKCt8tKGujrYWa3tCFwu6+/xPU3V/1z6sqztFKk9csX40mhjihWrBjc3d2xceNGBAUF4e+//0arVq00msdmbKCPFf3qYHTrinAb1QxHf2qOAU3Kw9qMvzdEuoIlSaG7JUn//PNP/PzzzzAyMoKXlxfq1KmTJ6/jExqDtovOQaEAzo5vifIf0WqicouPj8eyZcswb948vH79GgDQsGFDzJ49G61bt85VzIRkJTZe8sVKj6eISUwFAJRPeoZLK35GSnIyvvvuO6xbt07jhDA+ORX911/F9RevUaKIEXYPbQynkh9npRf6sF9++QWzZ8+GjY0NHjx4kKM5Sj4+PqhUqRIMDQ0RGRkJM7OMQzwm/nMbu6+/RFVbC7iNapbjCevfbbqGM49CMfXzalwsj4hIZixJ+hG4ePEiXF1dAQBLlizJs4QAANadT1v0pl01GyYE2TAzM4OrqyuePXuGKVOmwMzMDFeuXEGbNm3Qrl07XLt2Te2Ypkb6+LFlRZyf2ApDWjhBFeqDcytckZKcjPL1WmHCHws1TgiSUpUYuvUGrr94DQsTA2z5riETgkJs2rRpqFatGkJCQjB27NgcPcfDwwNAWhL8bkIAAJM6VYO1mSEeBcdgi1fWpSffplQJXPPlfAIiIl3ApEAHhYWF4auvvoJSqUSfPn0wdOjQPHutVzFJ2PdvAABgSAtepcspa2trzJo1C0+fPsXIkSNhaGiIU6dOoUGDBujZsycePnyofkwzI3QrLxB78A+I5ASYOLhA9elofLbsElz/uYOgqJyVL31XqlKFMTtv4fyTMJga6mPToPos71fImZiYYOPGjdDT08OWLVtw5MiRbJ+T2XyCtxUzN8LEDlUBAIvcvTOUnszKw6BoxCSlwsLYgJ9JIiItY1KgY1QqFb799lsEBASgcuXKWL16dZ7W7d7q9RzJShU+sbdGXYeiefY6HytbW1ssW7YMjx8/Rv/+/aFQKLBv3z44Oztj0KBBePEiZ1dMgbRyj+3bt8friHA0aNAAl04fRYdaZaESwK7r/mi5wANzjj5EZHzOqx+pVAKT993FsXvBMNLXw5r+dVHX4eMu+0g507BhQ6mXYOjQoYiKynoBsrfnE2SVFADA1/Xt4WJvjdikVMw6kn1ifPnNfIJ65YtCn/MJiIi0ikmBjpk7dy6OHz8OExMT/PPPP7CwyLtqHAnJSmx9s8LkD82dPupFg/Kao6MjNm/ejLt376Jbt25QqVTYtGkTKleujJ9++inb8o8hISFo164dAgICUL16dRw9ehS1K5TGmv71sHd4EzRwLIakVBVWn3uG5vPPYoWHDxKSP1z9SAiBmUceYs+Nl9BTAEv71EbzSoV7lWrK6Pfff0fFihUREBDwwTU4vL29ERQUBCMjIzRq1CjL7fT0FJjZ1RkKBXDodiAu+YR98PX/W5+AQ4eIiLSNSYEO8fDwkOqIr1ixAjVr1szT1/vn35d4HZ8C+2Km6FBDnhrXhV2NGjWwf/9+XL58Ga1bt0ZycjKWLl0KJycnTJs2LdOrsZGRkejYsSN8fHxQvnx5nDx5EsWL/3eSVNehKHYNaYSNA+ujqq0FYhJTMf/4Y7RceBbbr/ghVanKtC1LTj/Bhotp80Xmf+mCjs62efOmqcAyMzPD+vXrAQBr167FqVOnMt0ufT5B48aNYWr64QWyapa1wrdvyhpPO3gPyamZfz5VKoFr0voE7L0iItI2JgU6IiQkBH369IFKpcLAgQMxaNCgPH09pUpgw4W0E8bvmjrmuFII5UzDhg1x+vRpuLu7o169eoiLi8PMmTPh5OSEBQsWICEhbX5AfHw8OnfujFu3bsHGxgbu7u6Z1gBXKBRoVbUUjoxujkW9XVDG2hQh0UmYsv8u2i8+h6N3gzKURl1/wRd/nXoCAPi1c3V8Wbds/rxxKnBatGiBESNGAAB++OEHxMbGvrdNToYOvW18+yooUcQIT1/FYd2FZ5lu8zgkBpHxKTAz0odzGatctp6IiOTCM0EdoFQq0bdvXwQHB6NGjRpYvnx5nr/mqYch8A2Lg6WJAXrXs8/z1yus2rZti6tXr2Lv3r2oVq0aIiIiMHHiRFSsWBGrV69Gr169cOHCBVhZWeHEiROoWLHiB+Pp6ynQo05ZnPn5U0z/ojqKmRvhWVgcftz2L7otv4hLPmHYfc0ff7g9AACMb1cZA5s65sdbpQJszpw5cHBwwPPnzzFlypQMjwkhpJ6CnCYFVqaGmNypGgBg2WkfvHwd/9426esT1HUoCkNelCAi0joeiXXA77//jjNnzsDc3Bx79uzJtNyf3NadT7t616+RA8yNDfL89QozhUKBHj164M6dO9i4cSPKlSuHwMBADBs2DEePHoWpqSmOHDkCFxeXHMc0NtDHd80c4TmhJUa3qQQzI33cfhmFvuuuYOLeOwCAH5o7YmTrDycZRABgYWGBtWvXAgCWLVuG8+fPS489fPgQISEhMDExQcOGDXMcs0edMmhQvhgSUpT4/fCD9x5Pn0/QiPMJiIh0ApMCLTt58iT++OMPAMCaNWtQrVq1PH/Nm36vce35axjqKzCwSfk8fz1KY2BggIEDB8Lb2xtLlixByZIlYWxsjH379qFp06a5imlhYohx7SrDc0IrDGjsAEP9tMniX9e3x5TPqnHyOOVYu3bt8P333wMABg8eLA1xSx861KRJExgb53z1a4VCgT+6OUNfT4GTD0Jw9tF/k+2FELjqy/kERES6hEmBFimVSowcORJCCAwdOhR9+/bNl9dNX6yss0tp2Fia5Mtr0n+MjY0xevRo+Pn5ISAgAB07dtQ4ZkkLY/zW1RlnxrfEuv71MKt7TSYEpLaFCxeiTJkyePLkCaZPnw4Aag8delsVWwt817Q8AGDGoftITEmrmOUTGovwuGSYGOqhVllrOZpOREQaYlKgRfr6+jh+/DgGDBiAv/76K19e0z8iHsfuBQFIK0NK2mNiYpKhypAc7IuZoW11G9Z8p1yxsrLCqlWrAACLFi3C5cuXNUoKAOCntpVha2kCv4h4rPB4CgC4/KaXoE65ojAy4M8QEZEu4NFYy5ycnLBp0yaYmOTPFfsNF32hEkDzSiVQzY4riBJRRl988QW++eYbqFQqdO/eHWFhYTAzM0P9+vVzFa+IsQGmfVEdALDK8ymeh8W9NXSI8wmIiHQFk4JCJCo+Bbuu+QNgLwERZe2vv/5CqVKlEBwcDABo2rQpjIyMch3vs5q2aF6pBJJTVZh+6L5UeagB5xMQEekMJgWFyParfohPVqKqrQWaVyqh7eYQkY4qXrw4VqxYIf1/bocOpVMoFPitSw0Y6evhnPcrhMYkwUhfD7XLWWvYUiIikguTgkIiOVWFTZfSJhgPbubISahE9EE9e/bEDz/8AGtra/Tq1UvjeE4li2Dop//1UH5ibw0TQ32N4xIRkTyYFBQSh28HIiQ6CaUsjNHlk9Labg4RFQCrV69GeHh4tovq5dSPLSuibFFTAEAjJw4dIiLSJVy1qhAQQmDtm8XKBjQpD2MDXp0jouwpFApZexVNjfSx+tu62H7FjyttExHpGCYFhcBFn3A8Co6BqaE++jUsp+3mEFEhVqO0FWZ1r6ntZhAR0Ts4fKgQWPOml+Cr+vawNst9BREiIiIi+jgxKfjIPQ6OwTnvV9BTAN+xu56IiIiIMsGk4COXPpegQw1blCtupuXWEBEREZEuYlLwEQuNTsTBWwEAgB9acLEyIiIiIsock4KP2Gav50hRCtR1KIo65YpquzlEREREpKOYFHyk4pNT8fdlPwDAD805l4CIiIiIssak4CO15/pLRCWkwKG4GdpVt9V2c4iIiIhIhzEp+AgpVQLrL/gCAAY3c4S+nnyLDxERERHRx4dJwUfI/UEw/CLiYWVqiC/rltV2c4iIiIhIxzEp+AidfxIGAOhZpyzMjLhoNRERERF9GJOCj1BgZAIAoJJNES23hIiIiIgKAiYFH6GgqEQAgJ2ViZZbQkREREQFAZOCj1DAm56CMtamWm4JERERERUETAo+MjGJKYhJTAUA2DEpICIiIqIcYFLwkUkfOmRpYoAixpxkTERERETZY1LwkUkfOlSavQRERERElEM6nxTExMRgzJgxcHBwgKmpKZo0aYJr165Jj4eEhGDgwIEoXbo0zMzM0LFjRzx58kSLLdauQM4nICIiIiI16XxS8P3338Pd3R1bt27F3bt30b59e7Rt2xYBAQEQQqBbt2549uwZDh48iJs3b8LBwQFt27ZFXFyctpuuFUGRbyoPWbPyEBERERHljE4nBQkJCdi7dy/mz5+PFi1aoGLFivj1119RsWJFrFy5Ek+ePMHly5excuVK1K9fH1WqVMHKlSuRkJCAHTt2aLv5WhHI4UNEREREpCadTgpSU1OhVCphYpLxqrepqSkuXLiApKQkAMjwuJ6eHoyNjXHhwoV8bauukOYUWDEpICIiIqKcUTsp2LhxI+Lj4/OiLe+xsLBA48aN8ccffyAwMBBKpRJ///03vLy8EBQUhKpVq6JcuXKYPHkyXr9+jeTkZMybNw8vX75EUFBQlnGTkpIQHR2d4faxSK8+xJ4CIiIiIsoptZOCSZMmwdbWFoMHD8alS5fyok0ZbN26FUIIlClTBsbGxli6dCn69OkDPT09GBoaYt++ffD29kaxYsVgZmaGs2fPolOnTtDTy/qtzZkzB1ZWVtLN3t4+z99HflCpBIKi0ocPcU4BEREREeWM2klBQEAANm/ejLCwMLRs2RJVq1bFvHnzEBwcnBftQ4UKFeDp6YnY2Fj4+/vj6tWrSElJgZOTEwCgbt26uHXrFiIjIxEUFITjx48jPDxcejwzkydPRlRUlHTz9/fPk7bnt7DYJKQoBRQKwMaSSQERERER5YzaSYGBgQG6d++OgwcPwt/fHz/88AO2bduGcuXKoUuXLjh48CBUKpXsDTU3N4ednR1ev36NEydOoGvXrhket7KyQsmSJfHkyRNcv379vcffZmxsDEtLywy3j0Hgm6FDNhYmMNTX6ekiRERERKRDNDpztLGxQbNmzdC4cWPo6enh7t27GDBgACpUqAAPDw9ZGnjixAkcP34cvr6+cHd3R6tWrVC1alUMGjQIALBnzx54eHhIZUnbtWuHbt26oX379rK8fkHyX+Uh9hIQERERUc7lKikICQnBwoULUaNGDbRs2RLR0dFwc3ODr68vAgIC0Lt3bwwYMECWBkZFRWHEiBGoWrUq+vfvj2bNmuHEiRMwNDQEAAQFBeHbb79F1apVMXr0aHz77beFvhypHScZExEREZEaFEIIoc4TOnfujBMnTqBy5cr4/vvv0b9/fxQrVizDNqGhobC1tc2TYUR5ITo6GlZWVoiKiirQQ4l+P/wAGy76YkgLJ0z5rJq2m0NEREREWqTOOa6BusFLlSoFT09PNG7cOMttSpYsCV9fX3VDk4ak4UNWHD5ERERERDmn9vChTz/9FHXq1Hnv/uTkZGzZsgUAoFAo4ODgoHnrSC3p5Ug5fIiIiIiI1KF2UjBo0CBERUW9d39MTIw0+Ze0IyAyrfpQGSYFRERERKQGtZMCIQQUCsV79798+RJWVlayNIrUl5SqRFhsEgCuZkxERERE6snxnILatWtDoVBAoVCgTZs2MDD476lKpRK+vr7o2LFjnjSSshf8Zo0CYwM9FDUz1HJriIiIiKggyXFS0K1bNwDArVu30KFDBxQpUkR6zMjICOXLl0fPnj1lbyDlTMCbScZlrE0z7ckhIiIiIspKjpOCGTNmAADKly+Pr776CiYmrHCjSwLfzCfg0CEiIiIiUpfaJUnlWpSM5BWUvnAZy5ESERERkZpylBQUK1YM3t7eKFGiBIoWLfrB4SkRERGyNY5yLvBNOVL2FBARERGRunKUFCxevBgWFhbSvzlmXfewHCkRERER5VaOkoK3hwwNHDgwr9pCGpCGD1lz+BARERERqUftdQqOHj2KEydOvHf/yZMncezYMVkaReoRQiAwksOHiIiIiCh31E4KJk2aBKVS+d79KpUKkyZNkqVRpJ7ohFTEJaf9TUpbMSkgIiIiIvWonRQ8efIE1atXf+/+qlWrwsfHR5ZGkXrSJxkXNTOEqZG+lltDRERERAWN2kmBlZUVnj179t79Pj4+MDc3l6VRpB4OHSIiIiIiTaidFHTt2hVjxozB06dPpft8fHwwfvx4dOnSRdbGUc4ESmsUMCkgIiIiIvWpnRTMnz8f5ubmqFq1KhwdHeHo6Ihq1aqhePHiWLhwYV60kbIRGJVejpSVh4iIiIhIfWqvaGxlZYVLly7B3d0dt2/fhqmpKWrVqoUWLVrkRfsoBzh8iIiIiIg0oXZSAAAKhQLt27dH+/bt5W4P5ULQm4XL7JgUEBEREVEuqD18CAA8PT3RuXNnVKxYERUrVkSXLl1w/vx5udtGORTwpqeAw4eIiIiIKDfUTgr+/vtvtG3bFmZmZhg9ejRGjx4NU1NTtGnTBtu3b8+LNtIHKFUCwdFpPQUcPkREREREuaEQQgh1nlCtWjUMGTIEY8eOzXD/okWLsHbtWjx8+FDWBuaH6OhoWFlZISoqCpaWltpujlqCoxLRaM5p6Osp4D2zE/T1FNpuEhERERHpAHXOcdXuKXj27Bk6d+783v1dunSBr6+vuuFIQ+lDh2wtTZgQEBEREVGuqJ0U2Nvb4/Tp0+/df+rUKdjb28vSKMq5/yoPcT4BEREREeWO2tWHxo8fj9GjR+PWrVto0qQJAODixYvYtGkTlixZInsD6cOCorhwGRERERFpRu2kYPjw4bC1tcWff/6J3bt3A0ibZ7Br1y507dpV9gbShwVGcpIxEREREWkmV+sUdO/eHd27d5e7LZQLLEdKRERERJrK1ToFpDs4fIiIiIiINJWjnoKiRYtCochZZZuIiAiNGkTq4fAhIiIiItJUjpKCv/76K4+bQbmRkKxERFwyAKAMkwIiIiIiyqUcJQUDBgzI63ZQLqQPHTIz0oelaa6mhxARERER5W5OwdOnTzF16lT06dMHoaGhAIBjx47h/v37sjaOPuztoUM5Hd5FRERERPQutZMCT09P1KxZE1euXMG+ffsQGxsLALh9+zZmzJghewMpa/8tXMahQ0RERESUe2onBZMmTcLMmTPh7u4OIyMj6f7WrVvj8uXLsjaOPizwzfCh0lYsR0pEREREuad2UnD37t1M1ygoVaoUwsLCZGkU5Qx7CoiIiIhIDmonBdbW1ggKCnrv/ps3b6JMmTKyNIpyJiiK5UiJiIiISHNqJwVff/01XF1dERwcDIVCAZVKhYsXL+Lnn39G//7986KNlIX01Yw5fIiIiIiINKF2UjB79mxUrVoV9vb2iI2NRfXq1dGiRQs0adIEU6dOzYs2UiaEEBw+RERERESyULu4vZGREdauXYtp06bh3r17iI2NRe3atVGpUqW8aB9lITI+BYkpKgCALXsKiIiIiEgDaicFFy5cQLNmzVCuXDmUK1cuL9pEOZA+dKhEESOYGOpruTVEREREVJCpPXyodevWcHR0xJQpU/DgwYO8aBPlAIcOEREREZFc1E4KAgMDMX78eHh6esLZ2RmffPIJFixYgJcvX+ZF+ygL6ZWH7Dh0iIiIiIg0pHZSUKJECYwcORIXL17E06dP0atXL2zevBnly5dH69at86KNlAn2FBARERGRXNROCt7m6OiISZMmYe7cuahZsyY8PT3lahdlI31OQRkmBURERESkoVwnBRcvXsSPP/4IOzs79O3bF87Ozjhy5IicbaMP+G/4EJMCIiIiItKM2tWHJk+ejJ07dyIwMBDt2rXDkiVL0LVrV5iZmeVF+ygL/w0f4pwCIiIiItKM2knBuXPnMGHCBPTu3RslSpTIizZRNlKVKoREp/UUcPgQEREREWlK7aTg4sWLedEOUkNITBJUAjDUV6BEEWNtN4eIiIiICjiNJhqTdqQPHbK1MoGenkLLrSEiIiKigo5JQQEkzSfgJGMiIiIikgGTggIoMDJtPgHXKCAiIiIiOTApKIBYeYiIiIiI5KR2UnD27NksH1u9erVGjaGcCYriasZEREREJB+1k4KOHTtiwoQJSElJke4LCwtD586dMWnSJFkbR5kLSB8+xDkFRERERCSDXPUU7N+/H/Xr18eDBw9w5MgRODs7Izo6Grdu3ZK9gTExMRgzZgwcHBxgamqKJk2a4Nq1a9LjsbGxGDlyJMqWLQtTU1NUr14dq1atkr0duuS/4UNMCoiIiIhIc2onBU2aNMGtW7fg7OyMOnXqoHv37hg7diw8PDzg4OAgewO///57uLu7Y+vWrbh79y7at2+Ptm3bIiAgAAAwbtw4HD9+HH///TcePnyIMWPGYOTIkTh06JDsbdEFcUmpiEpI66XhnAIiIiIikkOuJhp7e3vj+vXrKFu2LAwMDPD48WPEx8fL3TYkJCRg7969mD9/Plq0aIGKFSvi119/RcWKFbFy5UoAwKVLlzBgwAC0bNkS5cuXx5AhQ+Di4oKrV6/K3h5dkD6fwMLYABYmhlpuDRERERF9DNROCubOnYvGjRujXbt2uHfvHq5evYqbN2+iVq1a8PLykrVxqampUCqVMDHJeEXc1NQUFy5cAJDWc3Ho0CEEBARACIGzZ8/C29sb7du3zzJuUlISoqOjM9wKigCWIyUiIiIimamdFCxZsgQHDhzAsmXLYGJiAmdnZ1y9ehU9evRAy5YtZW2chYUFGjdujD/++AOBgYFQKpX4+++/4eXlhaCgIADAsmXLUL16dZQtWxZGRkbo2LEjli9fjhYtWmQZd86cObCyspJu9vb2srY7LwW9mU9gx6FDRERERCQTtZOCu3fvolOnThnuMzQ0xIIFC3Dy5EnZGpZu69atEEKgTJkyMDY2xtKlS9GnTx/o6aU1fdmyZbh8+TIOHTqEGzdu4M8//8SIESNw6tSpLGNOnjwZUVFR0s3f31/2ducVTjImIiIiIrkZqPuEEiVKZPnYp59+qlFjMlOhQgV4enoiLi4O0dHRsLOzw1dffQUnJyckJCRgypQp2L9/Pz7//HMAQK1atXDr1i0sXLgQbdu2zTSmsbExjI2NZW9rfkgfPlSGSQERERERyaTArGhsbm4OOzs7vH79GidOnEDXrl2RkpKClJQUqdcgnb6+PlQqlZZamrfSJxrbWXH4EBERERHJQ+2egvx24sQJCCFQpUoV+Pj4YMKECahatSoGDRoEQ0NDfPrpp5gwYQJMTU3h4OAAT09PbNmyBYsWLdJ20/MEhw8RERERkdx0PimIiorC5MmT8fLlSxQrVgw9e/bErFmzYGiYVo5z586dmDx5Mvr164eIiAg4ODhg1qxZGDZsmJZbLj8hBAKjOHyIiIiIiOSlEEIIbTdC26Kjo2FlZYWoqChYWlpquzlZCotNQr2Zp6BQAI//6AQjgwIz+ouIiIiI8pk657g8qyxA0ocOlSxizISAiIiIiGTDM8sChPMJiIiIiCgvMCkoQAKl1YxZeYiIiIiI5MOkoACRegqs2FNARERERPJhUlCABEWl9xQwKSAiIiIi+TApKEACpDkFHD5ERERERPJhUlCAcKIxEREREeUFJgUFRHKqCq9ikwAwKSAiIiIieTEpKCBCohMhBGBkoIfi5kbabg4RERERfUSYFBQQ0nwCKxMoFAott4aIiIiIPiZMCgqIoCjOJyAiIiKivMGkoIBIX7jMjmsUEBEREZHMmBQUEOnDh8qwHCkRERERyYxJQQERxHKkRERERJRHmBQUENLwISYFRERERCQzJgUFRCCHDxERERFRHmFSUABEJ6YgJikVACcaExEREZH8mBQUAEFvhg5ZmRrC3NhAy60hIiIioo8Nk4ICIJCTjImIiIgoDzEpKAACo/5bzZiIiIiISG5MCgoA9hQQERERUV5iUlAApM8pYFJARERERHmBSUEBECD1FHD4EBERERHJj0lBASDNKWBPARERERHlASYFOk6lEgiO4vAhIiIiIso7TAp0XFhsElKUAnoKwMbCWNvNISIiIqKPEJMCHZc+n8DG0gQG+vxzEREREZH8eJap44I4dIiIiIiI8hiTAh2XvkaBHRcuIyIiIqI8wqRAx6UPHyrDngIiIiIiyiNMCnQcFy4jIiIiorzGpEDHpa9RwOFDRERERJRXmBTouMBILlxGRERERHmLSYEOS0xRIiw2GQDnFBARERFR3mFSoMPSVzI2MdSDtZmhlltDRERERB8rJgU67O2hQwqFQsutISIiIqKPFZMCHRb4pqeAQ4eIiIiIKC8xKdBhXLiMiIiIiPIDkwIdFhTFykNERERElPeYFOiwgPSFy6yYFBARERFR3mFSoMO4RgERERER5QcmBTpKCIEgKSngnAIiIiIiyjtMCnRUdEIq4pKVAAA7Dh8iIiIiojzEpEBHBbzpJShmbgRTI30tt4aIiIiIPmZMCnTUf5WHOHSIiIiIiPIWkwId9d8aBRw6RERERER5i0mBjkovR8rVjImIiIgorzEp0FEcPkRERERE+YVJgY7i8CEiIiIiyi9MCnRUYPpqxhw+RERERER5jEmBDlKqBIKjOaeAiIiIiPIHkwIdFBqTCKVKwEBPgZIWxtpuDhERERF95JgU6KD0+QQ2libQ11NouTVERERE9LHT+aQgJiYGY8aMgYODA0xNTdGkSRNcu3ZNelyhUGR6W7BggRZbrZlAliMlIiIionyk80nB999/D3d3d2zduhV3795F+/bt0bZtWwQEBAAAgoKCMtw2bNgAhUKBnj17arnluSdVHmI5UiIiIiLKBzqdFCQkJGDv3r2YP38+WrRogYoVK+LXX39FxYoVsXLlSgCAra1thtvBgwfRqlUrODk5abn1uRcUxcpDRERERJR/DLTdgA9JTU2FUqmEiUnGK+ampqa4cOHCe9uHhITgyJEj2Lx58wfjJiUlISkpSfr/6OhoeRosk4DI9IXLmBQQERERUd7T6Z4CCwsLNG7cGH/88QcCAwOhVCrx999/w8vLC0FBQe9tv3nzZlhYWKBHjx4fjDtnzhxYWVlJN3t7+7x6C7mSPnyotBWHDxERERFR3tPppAAAtm7dCiEEypQpA2NjYyxduhR9+vSBnt77Td+wYQP69ev3Xs/CuyZPnoyoqCjp5u/vn1fNzxUOHyIiIiKi/KTTw4cAoEKFCvD09ERcXByio6NhZ2eHr7766r05A+fPn8fjx4+xa9eubGMaGxvD2Fg36/8nJCsREZcMAChtxaSAiIiIiPKezicF6czNzWFubo7Xr1/jxIkTmD9/fobH169fj7p168LFxUVLLZRHYFTa0CFzI31YmhaYPw8RERGR7JRKJVJSUrTdDJ1laGgIfX19WWLp/FnniRMnIIRAlSpV4OPjgwkTJqBq1aoYNGiQtE10dDT27NmDP//8U4stlUdQ5H9DhxQKLlxGREREhY8QAsHBwYiMjNR2U3SetbU1bG1tNT5v1PmkICoqCpMnT8bLly9RrFgx9OzZE7NmzYKhoaG0zc6dOyGEQJ8+fbTYUnn8t0YBhw4RERFR4ZSeEJQqVQpmZma8UJoJIQTi4+MRGhoKALCzs9Mons4nBb1790bv3r0/uM2QIUMwZMiQfGpR3kovR1qGC5cRERFRIaRUKqWEoHjx4tpujk4zNU27iBwaGopSpUppNJRI56sPFTZBUenlSNlTQERERIVP+hwCMzMzLbekYEjfT5rOvWBSoGMC38wp4PAhIiIiKsw4ZChn5NpPTAp0jLRwGYcPEREREVE+YVKgQ4QQUknSMuwpICIiIqJ8wqRAh7yOT0FiigoAYGvFngIiIiKigmTgwIHo1q1bhvv++ecfmJiY4M8//8TAgQOhUCjeu/n4+GinwW9hUqBD0ocOlShiDGMDeRaiICIiIiLtWLduHfr164eVK1di/PjxAICOHTsiKCgow83R0VHLLS0AJUkLk0CWIyUiIiJ6jxACCSlKrby2qaF+ribzzp8/HzNmzMDOnTvRvXt36X5jY2PY2trK2URZMCnQIdLCZSxHSkRERCRJSFGi+vQTWnntB793gJmReqfMrq6uWLFiBdzc3NCmTZs8apm8mBTokKCotHKkpTnJmIiIiKhAOnbsGA4ePIjTp0+jdevW7z3u5uaGIkWKSP/fqVMn7NmzJz+bmCkmBTokgOVIiYiIiN5jaqiPB7930Nprq6NWrVoICwvDjBkz0KBBgwwJAAC0atUKK1eulP7f3NxclnZqikmBDvlvjQL2FBARERGlUygUag/h0ZYyZcrgn3/+QatWrdCxY0ccO3YMFhYW0uPm5uaoWLGiFluYOVYf0iEcPkRERERU8Dk4OMDT0xPBwcHo2LEjYmJitN2kbDEp0BEpShVCotOTAg4fIiIiIirI7O3t4eHhgdDQUHTo0AHR0dHabtIHMSnQESHRiVAJwFBfgRLmxtpuDhERERFpqGzZsvDw8EBYWJjOJwYFY3BWIZA+dMjOyhR6eurXwiUiIiIi7dq0adN795UpUwbe3t753xg1sadARwSy8hARERERaQmTAh0hlSPlwmVERERElM+YFOiIoEhWHiIiIiIi7WBSoCPShw/ZcfgQEREREeUzJgU6IoALlxERERGRljAp0BHp1YfKMCkgIiIionzGpEAHxCalIiohBQBgZ8XhQ0RERESUv5gU6ICgN0OHLEwMYGFiqOXWEBEREVFhw6RABwRy6BARERERaRGTAh0gVR7i0CEiIiIi0gImBTogkJWHiIiIiAq8gQMHQqFQQKFQwNDQEI6Ojpg4cSJWrVol3Z/V7fnz54iPj8fkyZNRoUIFmJiYoGTJkvj0009x8ODBPG+7QZ6/AmUrkAuXEREREX0UOnbsiI0bNyIlJQU3btzAgAEDMGzYMAQFBUnb9OjRA87Ozvj999+l+0qWLIlBgwbhypUrWLZsGapXr47w8HBcunQJ4eHhed5uJgU64L+eAg4fIiIiInqXEALx8fFaeW0zMzMoFIocb29sbAxbW1sAgL29Pdq2bQt3d3fMmzdP2sbIyAhmZmbSdukOHTqEJUuW4LPPPgMAlC9fHnXr1pXhXWSPSYEOCIp6kxRYsaeAiIiI6F3x8fEoUqSIVl47NjYW5ubmuXruvXv3cOnSJTg4OORoe1tbWxw9ehQ9evSAhYVFrl4zt5gUaJlKJaTqQxw+RERERFSwubm5oUiRIkhNTUVSUhL09PTwv//9L0fPXbNmDfr164fixYvDxcUFzZo1w5dffommTZvmcauZFGhdeFwyklNVUCgAW1YfIiIiInqPmZkZYmNjtfba6mjVqhVWrlyJuLg4LF68GAYGBujZs2eOntuiRQs8e/YMly9fxqVLl3D69GksWbIEv/32G6ZNm5ab5ucYkwItSx86VMrCGIb6LAZFRERE9C6FQpHrITz5zdzcHBUrVgQAbNiwAS4uLli/fj0GDx6co+cbGhqiefPmaN68OVxdXTFz5kz8/vvvcHV1hZGRUZ61m2ehWsZypEREREQfJz09PUyZMgVTp05FQkJCrmJUr14dqampSExMlLl1GTEp0LKA9HKknGRMRERE9NHp1asX9PX1sXz58my3bdmyJVavXo0bN27g+fPnOHr0KKZMmYJWrVrB0tIyT9vJpEDLgliOlIiIiOijZWBggJEjR2L+/PmIi4v74LYdOnTA5s2b0b59e1SrVg2jRo1Chw4dsHv37jxvp0IIIfL8VXRcdHQ0rKysEBUVledZ2Lt+3HYDR+8GY0bn6hjU1DFfX5uIiIhI1yQmJsLX1xeOjo4wMeFF0+x8aH+pc47LngItK1/cHC721nAqqZ3au0RERERErD6kZRM7VtV2E4iIiIiokGNPARERERFRIcekgIiIiIiokGNSQEREREQ6h7Vwckau/cSkgIiIiIh0hqGhIQAgPj5eyy0pGNL3U/p+yy1ONCYiIiIinaGvrw9ra2uEhoYCAMzMzKBQKLTcKt0jhEB8fDxCQ0NhbW0NfX19jeIxKSAiIiIinWJrawsAUmJAWbO2tpb2lyaYFBARERGRTlEoFLCzs0OpUqWQkpKi7eboLENDQ417CNIxKSAiIiIinaSvry/bSS99GCcaExEREREVckwKiIiIiIgKOSYFRERERESFHOcU4L9FH6Kjo7XcEiIiIiIieaSf2+ZkgTMmBQBiYmIAAPb29lpuCRERERGRvGJiYmBlZfXBbRSCa0hDpVIhMDAQFhYW+b44RnR0NOzt7eHv7w9LS8t8fe3CgPs3b3H/5j3u47zF/Zu3uH/zFvdv3voY9q8QAjExMShdujT09D48a4A9BQD09PRQtmxZrbbB0tKywH7gCgLu37zF/Zv3uI/zFvdv3uL+zVvcv3mroO/f7HoI0nGiMRERERFRIcekgIiIiIiokGNSoGXGxsaYMWMGjI2Ntd2UjxL3b97i/s173Md5i/s3b3H/5i3u37xV2PYvJxoTERERERVy7CkgIiIiIirkmBQQERERERVyTAqIiIiIiAo5JgVERERERIUckwItW758OcqXLw8TExM0bNgQV69e1XaTCqRff/0VCoUiw61q1arS44mJiRgxYgSKFy+OIkWKoGfPnggJCdFii3XbuXPn0LlzZ5QuXRoKhQIHDhzI8LgQAtOnT4ednR1MTU3Rtm1bPHnyJMM2ERER6NevHywtLWFtbY3BgwcjNjY2H9+F7spu/w4cOPC9z3PHjh0zbMP9m7U5c+agfv36sLCwQKlSpdCtWzc8fvw4wzY5OSb4+fnh888/h5mZGUqVKoUJEyYgNTU1P9+KTsrJ/m3ZsuV7n+Fhw4Zl2Ib7N3MrV65ErVq1pAWzGjdujGPHjkmP87Ormez2b2H+7DIp0KJdu3Zh3LhxmDFjBv7991+4uLigQ4cOCA0N1XbTCqQaNWogKChIul24cEF6bOzYsTh8+DD27NkDT09PBAYGokePHlpsrW6Li4uDi4sLli9fnunj8+fPx9KlS7Fq1SpcuXIF5ubm6NChAxITE6Vt+vXrh/v378Pd3R1ubm44d+4chgwZkl9vQadlt38BoGPHjhk+zzt27MjwOPdv1jw9PTFixAhcvnwZ7u7uSElJQfv27REXFydtk90xQalU4vPPP0dycjIuXbqEzZs3Y9OmTZg+fbo23pJOycn+BYAffvghw2d4/vz50mPcv1krW7Ys5s6dixs3buD69eto3bo1unbtivv37wPgZ1dT2e1foBB/dgVpTYMGDcSIESOk/1cqlaJ06dJizpw5WmxVwTRjxgzh4uKS6WORkZHC0NBQ7NmzR7rv4cOHAoDw8vLKpxYWXADE/v37pf9XqVTC1tZWLFiwQLovMjJSGBsbix07dgghhHjw4IEAIK5duyZtc+zYMaFQKERAQEC+tb0geHf/CiHEgAEDRNeuXbN8DvevekJDQwUA4enpKYTI2THh6NGjQk9PTwQHB0vbrFy5UlhaWoqkpKT8fQM67t39K4QQn376qfjpp5+yfA73r3qKFi0q1q1bx89uHknfv0IU7s8uewq0JDk5GTdu3EDbtm2l+/T09NC2bVt4eXlpsWUF15MnT1C6dGk4OTmhX79+8PPzAwDcuHEDKSkpGfZ11apVUa5cOe7rXPD19UVwcHCG/WllZYWGDRtK+9PLywvW1taoV6+etE3btm2hp6eHK1eu5HubCyIPDw+UKlUKVapUwfDhwxEeHi49xv2rnqioKABAsWLFAOTsmODl5YWaNWvCxsZG2qZDhw6Ijo7OcEWR3t+/6bZt24YSJUrA2dkZkydPRnx8vPQY92/OKJVK7Ny5E3FxcWjcuDE/uzJ7d/+mK6yfXQNtN6CwCgsLg1KpzPChAgAbGxs8evRIS60quBo2bIhNmzahSpUqCAoKwm+//YbmzZvj3r17CA4OhpGREaytrTM8x8bGBsHBwdppcAGWvs8y++ymPxYcHIxSpUpleNzAwADFihXjPs+Bjh07okePHnB0dMTTp08xZcoUdOrUCV5eXtDX1+f+VYNKpcKYMWPQtGlTODs7A0COjgnBwcGZfsbTH6M0me1fAOjbty8cHBxQunRp3LlzB66urnj8+DH27dsHgPs3O3fv3kXjxo2RmJiIIkWKYP/+/ahevTpu3brFz64Mstq/QOH+7DIpoI9Cp06dpH/XqlULDRs2hIODA3bv3g1TU1MttoxIfV9//bX075o1a6JWrVqoUKECPDw80KZNGy22rOAZMWIE7t27l2GOEcknq/379vyWmjVrws7ODm3atMHTp09RoUKF/G5mgVOlShXcunULUVFR+OeffzBgwAB4enpqu1kfjaz2b/Xq1Qv1Z5fDh7SkRIkS0NfXf69iQEhICGxtbbXUqo+HtbU1KleuDB8fH9ja2iI5ORmRkZEZtuG+zp30ffahz66tre17E+ZTU1MRERHBfZ4LTk5OKFGiBHx8fABw/+bUyJEj4ebmhrNnz6Js2bLS/Tk5Jtja2mb6GU9/jLLev5lp2LAhAGT4DHP/Zs3IyAgVK1ZE3bp1MWfOHLi4uGDJkiX87Mokq/2bmcL02WVSoCVGRkaoW7cuTp8+Ld2nUqlw+vTpDOPaKHdiY2Px9OlT2NnZoW7dujA0NMywrx8/fgw/Pz/u61xwdHSEra1thv0ZHR2NK1euSPuzcePGiIyMxI0bN6Rtzpw5A5VKJR1gKedevnyJ8PBw2NnZAeD+zY4QAiNHjsT+/ftx5swZODo6Zng8J8eExo0b4+7duxmSL3d3d1haWkrDDAqr7PZvZm7dugUAGT7D3L85p1KpkJSUxM9uHknfv5kpVJ9dbc90Lsx27twpjI2NxaZNm8SDBw/EkCFDhLW1dYYZ7ZQz48ePFx4eHsLX11dcvHhRtG3bVpQoUUKEhoYKIYQYNmyYKFeunDhz5oy4fv26aNy4sWjcuLGWW627YmJixM2bN8XNmzcFALFo0SJx8+ZN8eLFCyGEEHPnzhXW1tbi4MGD4s6dO6Jr167C0dFRJCQkSDE6duwoateuLa5cuSIuXLggKlWqJPr06aOtt6RTPrR/Y2JixM8//yy8vLyEr6+vOHXqlKhTp46oVKmSSExMlGJw/2Zt+PDhwsrKSnh4eIigoCDpFh8fL22T3TEhNTVVODs7i/bt24tbt26J48ePi5IlS4rJkydr4y3plOz2r4+Pj/j999/F9evXha+vrzh48KBwcnISLVq0kGJw/2Zt0qRJwtPTU/j6+oo7d+6ISZMmCYVCIU6ePCmE4GdXUx/av4X9s8ukQMuWLVsmypUrJ4yMjESDBg3E5cuXtd2kAumrr74SdnZ2wsjISJQpU0Z89dVXwsfHR3o8ISFB/Pjjj6Jo0aLCzMxMdO/eXQQFBWmxxbrt7NmzAsB7twEDBggh0sqSTps2TdjY2AhjY2PRpk0b8fjx4wwxwsPDRZ8+fUSRIkWEpaWlGDRokIiJidHCu9E9H9q/8fHxon379qJkyZLC0NBQODg4iB9++OG9iwXcv1nLbN8CEBs3bpS2yckx4fnz56JTp07C1NRUlChRQowfP16kpKTk87vRPdntXz8/P9GiRQtRrFgxYWxsLCpWrCgmTJggoqKiMsTh/s3cd999JxwcHISRkZEoWbKkaNOmjZQQCMHPrqY+tH8L+2dXIYQQ+dcvQUREREREuoZzCoiIiIiICjkmBUREREREhRyTAiIiIiKiQo5JARERERFRIcekgIiIiIiokGNSQERERERUyDEpICIiIiIq5JgUEBEREREVckwKiIgIHh4eUCgUiIz8f3t3ExLV/sdx/C3qmA/jAzopCjlO6KCFaYXRwzgmSgMpZBkGlbWonQmhi1r0QIGugkxKo4WaRRNIbdQiyiwVCitMSyJKdKhFJnIlG1Eb+S/izh9v/i8Xbvqn5vNazcz5ze97fmd1PvOdc84fS1Jv//79VFVVLUmtY8eOceTIkSWpJSLyq9ITjUVEfFBOTg4ZGRmcP38egJmZGcbHx4mNjcXPz29Ra798+ZLc3FxGRkYICwtb1FoAY2NjWCwW+vr6sFgsi15PRORXpE6BiIhgMBiIi4tb9EAAUFtby+7du5ckEADExMSwbds26urqlqSeiMivSKFARMTHHDx4kEePHlFTU4Ofnx9+fn40NjbO+/tQY2MjkZGRtLa2YrVaCQkJobi4GLfbTVNTE2azmaioKMrLy/F4PN65p6enqaysJCEhgdDQUDZs2EBnZ6d3u8fjoaWlhcLCwnn7dOnSJZKTk1m2bBmxsbEUFxd7t83NzVFdXU1SUhLBwcGsWbOGlpaWed9//fo1BQUFhIeHYzQasdlsvH//3ru9sLAQp9P5E4+iiMjvJeD/vQMiIrK0ampqePv2LatXr+bMmTPA95Pqv3K73Vy4cAGn08mXL1/YuXMnRUVFREZG0t7eztDQELt27WLz5s2UlJQAUFZWxuDgIE6nk/j4eG7fvo3D4WBgYIDk5GT6+/uZmJhg/fr13jrPnj2jvLyc5uZmNm3axPj4OF1dXd7t1dXVXLt2jfr6epKTk3n8+DH79u3DZDJht9v5+PEj2dnZ5OTk0NHRQXh4OD09PXz79s07R1ZWFh8+fGB4eBiz2bxIR1ZE5NelUCAi4mMiIiIwGAyEhIQQFxcHwJs3b34YNzs7S11dHStXrgSguLiY5uZmPn36RFhYGGlpaWzdupWHDx9SUlKCy+WioaEBl8tFfHw8AJWVldy9e5eGhgaqqqoYGRnB39+f5cuXe+u4XC5CQ0MpKCjAaDSSmJhIZmYm8L3zUFVVxf3799m4cSMAFouF7u5uLl++jN1u5+LFi0REROB0OgkMDAQgJSVl3lr+3J+RkRGFAhGRBSgUiIjIgkJCQryBACA2Nhaz2TzvWoDY2FhGR0cBGBgYwOPx/HBCPj09TXR0NABTU1MEBQXNu3YhPz+fxMRELBYLDocDh8NBUVERISEhvHv3DrfbTX5+/rw5Z2ZmvMGhr68Pm83mDQQLCQ4OBr53P0RE5EcKBSIisqC/nmT7+fkt+Nnc3BwAk5OT+Pv78/z5c/z9/eeN+zNIxMTE4Ha7mZmZwWAwAGA0Gnnx4gWdnZ3cu3ePkydPcvr0aXp7e5mcnASgra2NhISEeXMGBQUB/z3h/zvj4+MAmEymf7R2ERFfo1AgIuKDDAbDvAuEf4bMzEw8Hg+jo6PYbLYFx2RkZAAwODjofQ0QEBBAXl4eeXl5nDp1isjISDo6OsjPzycoKAiXy4Xdbl9wzvT0dJqampidnf2f3YJXr14RGBjIqlWr/tUaRUR+VwoFIiI+yGw28/TpU4aHhwkLC/P+2v9vpKSksHfvXkpLSzl37hyZmZl8/vyZBw8ekJ6ezvbt2zGZTKxdu5bu7m5vKGhtbWVoaIjs7GyioqJob29nbm4Oq9WK0WiksrKSo0ePMjc3x5YtW5iYmKCnp4fw8HAOHDhAWVkZtbW17Nmzh+PHjxMREcGTJ0/IysrCarUC0NXVhc1m+0ddBRERX6RbkoqI+KDKykr8/f1JS0vDZDLhcrl+yrwNDQ2UlpZSUVGB1Wplx44d9Pb2smLFCu+YQ4cOcf36de/7yMhIbt26RW5uLqmpqdTX13Pjxg3vr/pnz57lxIkTVFdXk5qaisPhoK2tjaSkJACio6Pp6OhgcnISu93OunXruHLlyryugdPp5PDhwz9ljSIivyM90VhERJbU1NQUVquVmzdveu8otJju3LlDRUUF/f39BASoQS4ishB1CkREZEkFBwdz9epVxsbGlqTe169faWhoUCAQEfkb6hSIiIiIiPg4dQpERERERHycQoGIiIiIiI9TKBARERER8XEKBSIiIiIiPk6hQERERETExykUiIiIiIj4OIUCEREREREfp1AgIiIiIuLjFApERERERHzcfwDMry14AsbFTAAAAABJRU5ErkJggg==", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Ms, P, K = kf.rts_smoother(xs, covs)\n", + "ukf_internal.plot_rts_output(xs, Ms, t)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "d5d5d53d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sigmas: [ 0. 3. -3.]\n", + "mean weights: [0.6667 0.1667 0.1667]\n", + "cov weights: [2.6667 0.1667 0.1667]\n", + "lambda: 2\n", + "sum cov 2.9999999999999996\n" + ] + } + ], + "source": [ + "from kf_book.ukf_internal import print_sigmas\n", + "print_sigmas(mean=0, cov=3, alpha=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "f817f78b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ekf_internal.plot_bicycle()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "f40e66a2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.9999999999999774\n" + ] + } + ], + "source": [ + "from math import tan, sin, cos, sqrt\n", + "\n", + "def move(x, dt, u, wheelbase):\n", + " hdg = x[2]\n", + " vel = u[0]\n", + " steering_angle = u[1]\n", + " dist = vel * dt\n", + "\n", + " if abs(steering_angle) > 0.001: # is robot turning?\n", + " beta = (dist / wheelbase) * tan(steering_angle)\n", + " r = wheelbase / tan(steering_angle) # radius\n", + "\n", + " sinh, sinhb = sin(hdg), sin(hdg + beta)\n", + " cosh, coshb = cos(hdg), cos(hdg + beta)\n", + " return x + np.array([-r*sinh + r*sinhb, \n", + " r*cosh - r*coshb, beta])\n", + " else: # moving in straight line\n", + " return x + np.array([dist*cos(hdg), dist*sin(hdg), 0])\n", + " \n", + "def normalize_angle(x):\n", + " x = x % (2 * np.pi) # force in range [0, 2 pi)\n", + " if x > np.pi: # move to [-pi, pi)\n", + " x -= 2 * np.pi\n", + " return x\n", + "\n", + "print(np.degrees(normalize_angle(np.radians(1-359))))" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "5a7050c3", + "metadata": {}, + "outputs": [], + "source": [ + "def residual_h(a, b):\n", + " y = a - b\n", + " # data in format [dist_1, bearing_1, dist_2, bearing_2,...]\n", + " for i in range(0, len(y), 2):\n", + " y[i + 1] = normalize_angle(y[i + 1])\n", + " return y\n", + "\n", + "def residual_x(a, b):\n", + " y = a - b\n", + " y[2] = normalize_angle(y[2])\n", + " return y\n", + "\n", + "def Hx(x, landmarks):\n", + " \"\"\" takes a state variable and returns the measurement\n", + " that would correspond to that state. \"\"\"\n", + " hx = []\n", + " for lmark in landmarks:\n", + " px, py = lmark\n", + " dist = sqrt((px - x[0])**2 + (py - x[1])**2)\n", + " angle = atan2(py - x[1], px - x[0])\n", + " hx.extend([dist, normalize_angle(angle - x[2])])\n", + " return np.array(hx)\n", + "\n", + "def state_mean(sigmas, Wm):\n", + " x = np.zeros(3)\n", + "\n", + " sum_sin = np.sum(np.dot(np.sin(sigmas[:, 2]), Wm))\n", + " sum_cos = np.sum(np.dot(np.cos(sigmas[:, 2]), Wm))\n", + " x[0] = np.sum(np.dot(sigmas[:, 0], Wm))\n", + " x[1] = np.sum(np.dot(sigmas[:, 1], Wm))\n", + " x[2] = atan2(sum_sin, sum_cos)\n", + " return x\n", + "\n", + "def z_mean(sigmas, Wm):\n", + " z_count = sigmas.shape[1]\n", + " x = np.zeros(z_count)\n", + "\n", + " for z in range(0, z_count, 2):\n", + " sum_sin = np.sum(np.dot(np.sin(sigmas[:, z+1]), Wm))\n", + " sum_cos = np.sum(np.dot(np.cos(sigmas[:, z+1]), Wm))\n", + "\n", + " x[z] = np.sum(np.dot(sigmas[:,z], Wm))\n", + " x[z+1] = atan2(sum_sin, sum_cos)\n", + " return x\n", + "\n", + "from filterpy.stats import plot_covariance_ellipse\n", + "\n", + "dt = 1.0\n", + "wheelbase = 0.5\n", + "\n", + "def run_localization(\n", + " cmds, landmarks, sigma_vel, sigma_steer, sigma_range, \n", + " sigma_bearing, ellipse_step=1, step=10):\n", + "\n", + " plt.figure()\n", + " points = MerweScaledSigmaPoints(n=3, alpha=.00001, beta=2, kappa=0, \n", + " subtract=residual_x)\n", + " ukf = UKF(dim_x=3, dim_z=2*len(landmarks), fx=move, hx=Hx,\n", + " dt=dt, points=points, x_mean_fn=state_mean, \n", + " z_mean_fn=z_mean, residual_x=residual_x, \n", + " residual_z=residual_h)\n", + "\n", + " ukf.x = np.array([2, 6, .3])\n", + " ukf.P = np.diag([.1, .1, .05])\n", + " ukf.R = np.diag([sigma_range**2, \n", + " sigma_bearing**2]*len(landmarks))\n", + " ukf.Q = np.eye(3)*0.0001\n", + " \n", + " sim_pos = ukf.x.copy()\n", + " \n", + " # plot landmarks\n", + " if len(landmarks) > 0:\n", + " plt.scatter(landmarks[:, 0], landmarks[:, 1], \n", + " marker='s', s=60)\n", + " \n", + " track = []\n", + " for i, u in enumerate(cmds): \n", + " sim_pos = move(sim_pos, dt/step, u, wheelbase)\n", + " track.append(sim_pos)\n", + "\n", + " if i % step == 0:\n", + " ukf.predict(u=u, wheelbase=wheelbase)\n", + "\n", + " if i % ellipse_step == 0:\n", + " plot_covariance_ellipse(\n", + " (ukf.x[0], ukf.x[1]), ukf.P[0:2, 0:2], std=6,\n", + " facecolor='k', alpha=0.3)\n", + "\n", + " x, y = sim_pos[0], sim_pos[1]\n", + " z = []\n", + " for lmark in landmarks:\n", + " dx, dy = lmark[0] - x, lmark[1] - y\n", + " d = sqrt(dx**2 + dy**2) + randn()*sigma_range\n", + " bearing = atan2(lmark[1] - y, lmark[0] - x)\n", + " a = (normalize_angle(bearing - sim_pos[2] + \n", + " randn()*sigma_bearing))\n", + " z.extend([d, a]) \n", + " ukf.update(z, landmarks=landmarks)\n", + "\n", + " if i % ellipse_step == 0:\n", + " plot_covariance_ellipse(\n", + " (ukf.x[0], ukf.x[1]), ukf.P[0:2, 0:2], std=6,\n", + " facecolor='g', alpha=0.8)\n", + " track = np.array(track)\n", + " plt.plot(track[:, 0], track[:,1], color='k', lw=2)\n", + " plt.axis('equal')\n", + " plt.title(\"UKF Robot localization\")\n", + " plt.show()\n", + " return ukf" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "8fb48245", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Final P: [0.0092 0.0187 0.0007]\n" + ] + } + ], + "source": [ + "landmarks = np.array([[5, 10], [10, 5], [15, 15]])\n", + "cmds = [np.array([1.1, .01])] * 200\n", + "ukf = run_localization(\n", + " cmds, landmarks, sigma_vel=0.1, sigma_steer=np.radians(1),\n", + " sigma_range=0.3, sigma_bearing=0.1)\n", + "print('Final P:', ukf.P.diagonal())" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "739effbe", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "final covariance [0.0013 0.0043 0.0004]\n" + ] + } + ], + "source": [ + "landmarks = np.array([[5, 10], [10, 5], [15, 15], [20, 5],\n", + " [0, 30], [50, 30], [40, 10]])\n", + "dt = 0.1\n", + "wheelbase = 0.5\n", + "sigma_range=0.3\n", + "sigma_bearing=0.1\n", + "\n", + "def turn(v, t0, t1, steps):\n", + " return [[v, a] for a in np.linspace(\n", + " np.radians(t0), np.radians(t1), steps)] \n", + " \n", + "# accelerate from a stop\n", + "cmds = [[v, .0] for v in np.linspace(0.001, 1.1, 30)]\n", + "cmds.extend([cmds[-1]]*50)\n", + "\n", + "# turn left\n", + "v = cmds[-1][0]\n", + "cmds.extend(turn(v, 0, 2, 15))\n", + "cmds.extend([cmds[-1]]*100)\n", + "\n", + "#turn right\n", + "cmds.extend(turn(v, 2, -2, 15))\n", + "cmds.extend([cmds[-1]]*200)\n", + "\n", + "cmds.extend(turn(v, -2, 0, 15))\n", + "cmds.extend([cmds[-1]]*150)\n", + "\n", + "cmds.extend(turn(v, 0, 1, 25))\n", + "cmds.extend([cmds[-1]]*100)\n", + "\n", + "ukf = run_localization(\n", + " cmds, landmarks, sigma_vel=0.1, sigma_steer=np.radians(1),\n", + " sigma_range=0.3, sigma_bearing=0.1, step=1,\n", + " ellipse_step=20)\n", + "print('final covariance', ukf.P.diagonal())" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "56d86c0f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "final covariance [0.0026 0.0657 0.0008]\n" + ] + } + ], + "source": [ + "ukf = run_localization(\n", + " cmds, landmarks[0:2], sigma_vel=0.1, sigma_steer=np.radians(1),\n", + " sigma_range=0.3, sigma_bearing=0.1, step=1,\n", + " ellipse_step=20)\n", + "print('final covariance', ukf.P.diagonal())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a5bb59fd", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/kalman_and_bayesian_filters/11-Extended-Kalman-Filters.ipynb b/kalman_and_bayesian_filters/11-Extended-Kalman-Filters.ipynb new file mode 100644 index 0000000..a7139b8 --- /dev/null +++ b/kalman_and_bayesian_filters/11-Extended-Kalman-Filters.ipynb @@ -0,0 +1,826 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "id": "063979fb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "\n", + "#format the book\n", + "import book_format\n", + "book_format.set_style()\n", + "\n", + "import kf_book.ekf_internal as ekf_internal\n", + "ekf_internal.show_linearization()\n", + "ekf_internal.show_radar_chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "0f97869b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from math import sqrt\n", + "def HJacobian_at(x):\n", + " \"\"\" compute Jacobian of H matrix at x \"\"\"\n", + "\n", + " horiz_dist = x[0]\n", + " altitude = x[2]\n", + " denom = sqrt(horiz_dist**2 + altitude**2)\n", + " return array ([[horiz_dist/denom, 0., altitude/denom]])\n", + "\n", + "\n", + "def hx(x):\n", + " \"\"\" compute measurement for slant range that\n", + " would correspond to state x.\n", + " \"\"\"\n", + " \n", + " return (x[0]**2 + x[2]**2) ** 0.5\n", + "\n", + "from numpy.random import randn\n", + "import math\n", + "\n", + "class RadarSim:\n", + " \"\"\" Simulates the radar signal returns from an object\n", + " flying at a constant altityude and velocity in 1D. \n", + " \"\"\"\n", + " \n", + " def __init__(self, dt, pos, vel, alt):\n", + " self.pos = pos\n", + " self.vel = vel\n", + " self.alt = alt\n", + " self.dt = dt\n", + " \n", + " def get_range(self):\n", + " \"\"\" Returns slant range to the object. Call once \n", + " for each new measurement at dt time from last call.\n", + " \"\"\"\n", + " \n", + " # add some process noise to the system\n", + " self.vel = self.vel + .1*randn()\n", + " self.alt = self.alt + .1*randn()\n", + " self.pos = self.pos + self.vel*self.dt\n", + " \n", + " # add measurement noise\n", + " err = self.pos * 0.05*randn()\n", + " slant_dist = math.sqrt(self.pos**2 + self.alt**2)\n", + " \n", + " return slant_dist + err\n", + " \n", + "from filterpy.common import Q_discrete_white_noise\n", + "from filterpy.kalman import ExtendedKalmanFilter\n", + "from numpy import eye, array, asarray\n", + "import numpy as np\n", + "\n", + "dt = 0.05\n", + "rk = ExtendedKalmanFilter(dim_x=3, dim_z=1)\n", + "radar = RadarSim(dt, pos=0., vel=100., alt=1000.)\n", + "\n", + "# make an imperfect starting guess\n", + "rk.x = array([radar.pos-100, radar.vel+100, radar.alt+1000])\n", + "\n", + "rk.F = eye(3) + array([[0, 1, 0],\n", + " [0, 0, 0],\n", + " [0, 0, 0]]) * dt\n", + "\n", + "range_std = 5. # meters\n", + "rk.R = np.diag([range_std**2])\n", + "rk.Q[0:2, 0:2] = Q_discrete_white_noise(2, dt=dt, var=0.1)\n", + "rk.Q[2,2] = 0.1\n", + "rk.P *= 50\n", + "\n", + "xs, track = [], []\n", + "for i in range(int(20/dt)):\n", + " z = radar.get_range()\n", + " track.append((radar.pos, radar.vel, radar.alt))\n", + " \n", + " rk.update(array([z]), HJacobian_at, hx)\n", + " xs.append(rk.x)\n", + " rk.predict()\n", + "\n", + "xs = asarray(xs)\n", + "track = asarray(track)\n", + "time = np.arange(0, len(xs)*dt, dt)\n", + "ekf_internal.plot_radar(xs, track, time)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "b7760f9b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}x\\\\x_{vel}\\\\y\\end{matrix}\\right]$" + ], + "text/plain": [ + "⎡ x ⎤\n", + "⎢ ⎥\n", + "⎢xᵥₑₗ⎥\n", + "⎢ ⎥\n", + "⎣ y ⎦" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}\\frac{x}{\\sqrt{x^{2} + y^{2}}} & 0 & \\frac{y}{\\sqrt{x^{2} + y^{2}}}\\end{matrix}\\right]$" + ], + "text/plain": [ + "⎡ x y ⎤\n", + "⎢──────────── 0 ────────────⎥\n", + "⎢ _________ _________⎥\n", + "⎢ ╱ 2 2 ╱ 2 2 ⎥\n", + "⎣╲╱ x + y ╲╱ x + y ⎦" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import sympy\n", + "from IPython.display import display\n", + "sympy.init_printing(use_latex='mathjax')\n", + "\n", + "x, x_vel, y = sympy.symbols('x, x_vel y')\n", + "\n", + "H = sympy.Matrix([sympy.sqrt(x**2 + y**2)])\n", + "\n", + "state = sympy.Matrix([x, x_vel, y])\n", + "J = H.jacobian(state)\n", + "\n", + "display(state)\n", + "display(J)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "d73f2dbe", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ekf_internal.plot_bicycle()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "8689dbe7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}1 & 0 & - \\frac{w \\cos{\\left(\\theta \\right)}}{\\tan{\\left(\\alpha \\right)}} + \\frac{w \\cos{\\left(\\frac{t v \\tan{\\left(\\alpha \\right)}}{w} + \\theta \\right)}}{\\tan{\\left(\\alpha \\right)}}\\\\0 & 1 & - \\frac{w \\sin{\\left(\\theta \\right)}}{\\tan{\\left(\\alpha \\right)}} + \\frac{w \\sin{\\left(\\frac{t v \\tan{\\left(\\alpha \\right)}}{w} + \\theta \\right)}}{\\tan{\\left(\\alpha \\right)}}\\\\0 & 0 & 1\\end{matrix}\\right]$" + ], + "text/plain": [ + "⎡ ⎛t⋅v⋅tan(α) ⎞⎤\n", + "⎢ w⋅cos⎜────────── + θ⎟⎥\n", + "⎢ w⋅cos(θ) ⎝ w ⎠⎥\n", + "⎢1 0 - ──────── + ─────────────────────⎥\n", + "⎢ tan(α) tan(α) ⎥\n", + "⎢ ⎥\n", + "⎢ ⎛t⋅v⋅tan(α) ⎞⎥\n", + "⎢ w⋅sin⎜────────── + θ⎟⎥\n", + "⎢ w⋅sin(θ) ⎝ w ⎠⎥\n", + "⎢0 1 - ──────── + ─────────────────────⎥\n", + "⎢ tan(α) tan(α) ⎥\n", + "⎢ ⎥\n", + "⎣0 0 1 ⎦" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import sympy\n", + "from sympy.abc import alpha, x, y, v, w, R, theta\n", + "from sympy import symbols, Matrix\n", + "sympy.init_printing(use_latex=\"mathjax\", fontsize='16pt')\n", + "time = symbols('t')\n", + "d = v*time\n", + "beta = (d/w)*sympy.tan(alpha)\n", + "r = w/sympy.tan(alpha)\n", + "\n", + "fxu = Matrix([[x-r*sympy.sin(theta) + r*sympy.sin(theta+beta)],\n", + " [y+r*sympy.cos(theta)- r*sympy.cos(theta+beta)],\n", + " [theta+beta]])\n", + "F = fxu.jacobian(Matrix([x, y, theta]))\n", + "F" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "1c08390d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}1 & 0 & - R \\cos{\\left(\\theta \\right)} + R \\cos{\\left(\\beta + \\theta \\right)}\\\\0 & 1 & - R \\sin{\\left(\\theta \\right)} + R \\sin{\\left(\\beta + \\theta \\right)}\\\\0 & 0 & 1\\end{matrix}\\right]$" + ], + "text/plain": [ + "⎡1 0 -R⋅cos(θ) + R⋅cos(β + θ)⎤\n", + "⎢ ⎥\n", + "⎢0 1 -R⋅sin(θ) + R⋅sin(β + θ)⎥\n", + "⎢ ⎥\n", + "⎣0 0 1 ⎦" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# reduce common expressions\n", + "B, R = symbols('beta, R')\n", + "F = F.subs((d/w)*sympy.tan(alpha), B)\n", + "F.subs(w/sympy.tan(alpha), R)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "501aa11b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}t \\cos{\\left(\\beta + \\theta \\right)} & \\frac{d \\left(\\tan^{2}{\\left(\\alpha \\right)} + 1\\right) \\cos{\\left(\\beta + \\theta \\right)}}{\\tan{\\left(\\alpha \\right)}} - \\frac{w \\left(- \\tan^{2}{\\left(\\alpha \\right)} - 1\\right) \\sin{\\left(\\theta \\right)}}{\\tan^{2}{\\left(\\alpha \\right)}} + \\frac{w \\left(- \\tan^{2}{\\left(\\alpha \\right)} - 1\\right) \\sin{\\left(\\beta + \\theta \\right)}}{\\tan^{2}{\\left(\\alpha \\right)}}\\\\t \\sin{\\left(\\beta + \\theta \\right)} & \\frac{d \\left(\\tan^{2}{\\left(\\alpha \\right)} + 1\\right) \\sin{\\left(\\beta + \\theta \\right)}}{\\tan{\\left(\\alpha \\right)}} + \\frac{w \\left(- \\tan^{2}{\\left(\\alpha \\right)} - 1\\right) \\cos{\\left(\\theta \\right)}}{\\tan^{2}{\\left(\\alpha \\right)}} - \\frac{w \\left(- \\tan^{2}{\\left(\\alpha \\right)} - 1\\right) \\cos{\\left(\\beta + \\theta \\right)}}{\\tan^{2}{\\left(\\alpha \\right)}}\\\\\\frac{t}{R} & \\frac{d \\left(\\tan^{2}{\\left(\\alpha \\right)} + 1\\right)}{w}\\end{matrix}\\right]$" + ], + "text/plain": [ + "⎡ ⎛ 2 ⎞ ⎛ 2 ⎞ \n", + "⎢ d⋅⎝tan (α) + 1⎠⋅cos(β + θ) w⋅⎝- tan (α) - 1⎠⋅sin(θ) w\n", + "⎢t⋅cos(β + θ) ────────────────────────── - ──────────────────────── + ─\n", + "⎢ tan(α) 2 \n", + "⎢ tan (α) \n", + "⎢ \n", + "⎢ ⎛ 2 ⎞ ⎛ 2 ⎞ \n", + "⎢ d⋅⎝tan (α) + 1⎠⋅sin(β + θ) w⋅⎝- tan (α) - 1⎠⋅cos(θ) w\n", + "⎢t⋅sin(β + θ) ────────────────────────── + ──────────────────────── - ─\n", + "⎢ tan(α) 2 \n", + "⎢ tan (α) \n", + "⎢ \n", + "⎢ ⎛ 2 ⎞ \n", + "⎢ t d⋅⎝tan (α) + 1⎠ \n", + "⎢ ─ ─────────────── \n", + "⎣ R w \n", + "\n", + " ⎛ 2 ⎞ ⎤\n", + "⋅⎝- tan (α) - 1⎠⋅sin(β + θ)⎥\n", + "───────────────────────────⎥\n", + " 2 ⎥\n", + " tan (α) ⎥\n", + " ⎥\n", + " ⎛ 2 ⎞ ⎥\n", + "⋅⎝- tan (α) - 1⎠⋅cos(β + θ)⎥\n", + "───────────────────────────⎥\n", + " 2 ⎥\n", + " tan (α) ⎥\n", + " ⎥\n", + " ⎥\n", + " ⎥\n", + " ⎥\n", + " ⎦" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "V = fxu.jacobian(Matrix([v, alpha]))\n", + "V = V.subs(sympy.tan(alpha)/w, 1/R) \n", + "V = V.subs(time*v/R, B)\n", + "V = V.subs(time*v, 'd')\n", + "V" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "f5fd2c0a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}\\frac{- p_{x} + x}{\\sqrt{\\left(p_{x} - x\\right)^{2} + \\left(p_{y} - y\\right)^{2}}} & \\frac{- p_{y} + y}{\\sqrt{\\left(p_{x} - x\\right)^{2} + \\left(p_{y} - y\\right)^{2}}} & 0\\\\- \\frac{- p_{y} + y}{\\left(p_{x} - x\\right)^{2} + \\left(p_{y} - y\\right)^{2}} & - \\frac{p_{x} - x}{\\left(p_{x} - x\\right)^{2} + \\left(p_{y} - y\\right)^{2}} & -1\\end{matrix}\\right]$" + ], + "text/plain": [ + "⎡ -pₓ + x -p_y + y ⎤\n", + "⎢─────────────────────────── ─────────────────────────── 0 ⎥\n", + "⎢ ________________________ ________________________ ⎥\n", + "⎢ ╱ 2 2 ╱ 2 2 ⎥\n", + "⎢╲╱ (pₓ - x) + (p_y - y) ╲╱ (pₓ - x) + (p_y - y) ⎥\n", + "⎢ ⎥\n", + "⎢ -(-p_y + y) -(pₓ - x) ⎥\n", + "⎢ ────────────────────── ────────────────────── -1⎥\n", + "⎢ 2 2 2 2 ⎥\n", + "⎣ (pₓ - x) + (p_y - y) (pₓ - x) + (p_y - y) ⎦" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "px, py = symbols('p_x, p_y')\n", + "z = Matrix([[sympy.sqrt((px-x)**2 + (py-y)**2)],\n", + " [sympy.atan2(py-y, px-x) - theta]])\n", + "z.jacobian(Matrix([x, y, theta]))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "62ff0ac5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Final P: [0.018 0.035 0.002]\n" + ] + } + ], + "source": [ + "from math import sqrt\n", + "\n", + "def H_of(x, landmark_pos):\n", + " \"\"\" compute Jacobian of H matrix where h(x) computes \n", + " the range and bearing to a landmark for state x \"\"\"\n", + "\n", + " px = landmark_pos[0]\n", + " py = landmark_pos[1]\n", + " hyp = (px - x[0, 0])**2 + (py - x[1, 0])**2\n", + " dist = sqrt(hyp)\n", + "\n", + " H = array(\n", + " [[-(px - x[0, 0]) / dist, -(py - x[1, 0]) / dist, 0],\n", + " [ (py - x[1, 0]) / hyp, -(px - x[0, 0]) / hyp, -1]])\n", + " return H\n", + "\n", + "from math import atan2\n", + "\n", + "def Hx(x, landmark_pos):\n", + " \"\"\" takes a state variable and returns the measurement\n", + " that would correspond to that state.\n", + " \"\"\"\n", + " px = landmark_pos[0]\n", + " py = landmark_pos[1]\n", + " dist = sqrt((px - x[0, 0])**2 + (py - x[1, 0])**2)\n", + "\n", + " Hx = array([[dist],\n", + " [atan2(py - x[1, 0], px - x[0, 0]) - x[2, 0]]])\n", + " return Hx\n", + "\n", + "from filterpy.kalman import ExtendedKalmanFilter as EKF\n", + "from numpy import array, sqrt\n", + "class RobotEKF(EKF):\n", + " def __init__(self, dt, wheelbase, std_vel, std_steer):\n", + " EKF.__init__(self, 3, 2, 2)\n", + " self.dt = dt\n", + " self.wheelbase = wheelbase\n", + " self.std_vel = std_vel\n", + " self.std_steer = std_steer\n", + "\n", + " a, x, y, v, w, theta, time = symbols(\n", + " 'a, x, y, v, w, theta, t')\n", + " d = v*time\n", + " beta = (d/w)*sympy.tan(a)\n", + " r = w/sympy.tan(a)\n", + " \n", + " self.fxu = Matrix(\n", + " [[x-r*sympy.sin(theta)+r*sympy.sin(theta+beta)],\n", + " [y+r*sympy.cos(theta)-r*sympy.cos(theta+beta)],\n", + " [theta+beta]])\n", + "\n", + " self.F_j = self.fxu.jacobian(Matrix([x, y, theta]))\n", + " self.V_j = self.fxu.jacobian(Matrix([v, a]))\n", + "\n", + " # save dictionary and it's variables for later use\n", + " self.subs = {x: 0, y: 0, v:0, a:0, \n", + " time:dt, w:wheelbase, theta:0}\n", + " self.x_x, self.x_y, = x, y \n", + " self.v, self.a, self.theta = v, a, theta\n", + "\n", + " def predict(self, u):\n", + " self.x = self.move(self.x, u, self.dt)\n", + " self.subs[self.x_x] = self.x[0, 0]\n", + " self.subs[self.x_y] = self.x[1, 0]\n", + "\n", + " self.subs[self.theta] = self.x[2, 0]\n", + " self.subs[self.v] = u[0]\n", + " self.subs[self.a] = u[1]\n", + "\n", + " F = array(self.F_j.evalf(subs=self.subs)).astype(float)\n", + " V = array(self.V_j.evalf(subs=self.subs)).astype(float)\n", + "\n", + " # covariance of motion noise in control space\n", + " M = array([[self.std_vel**2, 0], \n", + " [0, self.std_steer**2]])\n", + "\n", + " self.P = F @ self.P @ F.T + V @ M @ V.T\n", + "\n", + " def move(self, x, u, dt):\n", + " hdg = x[2, 0]\n", + " vel = u[0]\n", + " steering_angle = u[1]\n", + " dist = vel * dt\n", + "\n", + " if abs(steering_angle) > 0.001: # is robot turning?\n", + " beta = (dist / self.wheelbase) * tan(steering_angle)\n", + " r = self.wheelbase / tan(steering_angle) # radius\n", + "\n", + " dx = np.array([[-r*sin(hdg) + r*sin(hdg + beta)], \n", + " [r*cos(hdg) - r*cos(hdg + beta)], \n", + " [beta]])\n", + " else: # moving in straight line\n", + " dx = np.array([[dist*cos(hdg)], \n", + " [dist*sin(hdg)], \n", + " [0]])\n", + " return x + dx\n", + " \n", + "def residual(a, b):\n", + " \"\"\" compute residual (a-b) between measurements containing \n", + " [range, bearing]. Bearing is normalized to [-pi, pi)\"\"\"\n", + " y = a - b\n", + " y[1] = y[1] % (2 * np.pi) # force in range [0, 2 pi)\n", + " if y[1] > np.pi: # move to [-pi, pi)\n", + " y[1] -= 2 * np.pi\n", + " return y\n", + "\n", + "from filterpy.stats import plot_covariance_ellipse\n", + "from math import sqrt, tan, cos, sin, atan2\n", + "import matplotlib.pyplot as plt\n", + "\n", + "dt = 1.0\n", + "\n", + "def z_landmark(lmark, sim_pos, std_rng, std_brg):\n", + " x, y = sim_pos[0, 0], sim_pos[1, 0]\n", + " d = np.sqrt((lmark[0] - x)**2 + (lmark[1] - y)**2) \n", + " a = atan2(lmark[1] - y, lmark[0] - x) - sim_pos[2, 0]\n", + " z = np.array([[d + randn()*std_rng],\n", + " [a + randn()*std_brg]])\n", + " return z\n", + "\n", + "def ekf_update(ekf, z, landmark):\n", + " ekf.update(z, HJacobian=H_of, Hx=Hx, \n", + " residual=residual,\n", + " args=(landmark), hx_args=(landmark))\n", + " \n", + " \n", + "def run_localization(landmarks, std_vel, std_steer, \n", + " std_range, std_bearing,\n", + " step=10, ellipse_step=20, ylim=None):\n", + " ekf = RobotEKF(dt, wheelbase=0.5, std_vel=std_vel, \n", + " std_steer=std_steer)\n", + " ekf.x = array([[2, 6, .3]]).T # x, y, steer angle\n", + " ekf.P = np.diag([.1, .1, .1])\n", + " ekf.R = np.diag([std_range**2, std_bearing**2])\n", + "\n", + " sim_pos = ekf.x.copy() # simulated position\n", + " # steering command (vel, steering angle radians)\n", + " u = array([1.1, .01]) \n", + "\n", + " plt.figure()\n", + " plt.scatter(landmarks[:, 0], landmarks[:, 1],\n", + " marker='s', s=60)\n", + " \n", + " track = []\n", + " for i in range(200):\n", + " sim_pos = ekf.move(sim_pos, u, dt/10.) # simulate robot\n", + " track.append(sim_pos)\n", + "\n", + " if i % step == 0:\n", + " ekf.predict(u=u)\n", + "\n", + " if i % ellipse_step == 0:\n", + " plot_covariance_ellipse(\n", + " (ekf.x[0,0], ekf.x[1,0]), ekf.P[0:2, 0:2], \n", + " std=6, facecolor='k', alpha=0.3)\n", + "\n", + " x, y = sim_pos[0, 0], sim_pos[1, 0]\n", + " for lmark in landmarks:\n", + " z = z_landmark(lmark, sim_pos,\n", + " std_range, std_bearing)\n", + " ekf_update(ekf, z, lmark)\n", + "\n", + " if i % ellipse_step == 0:\n", + " plot_covariance_ellipse(\n", + " (ekf.x[0,0], ekf.x[1,0]), ekf.P[0:2, 0:2],\n", + " std=6, facecolor='g', alpha=0.8)\n", + " track = np.array(track)\n", + " plt.plot(track[:, 0], track[:,1], color='k', lw=2)\n", + " plt.axis('equal')\n", + " plt.title(\"EKF Robot localization\")\n", + " if ylim is not None: plt.ylim(*ylim)\n", + " plt.show()\n", + " return ekf\n", + "\n", + "\n", + "\n", + "landmarks = array([[5, 10], [10, 5], [15, 15]])\n", + "\n", + "ekf = run_localization(\n", + " landmarks, std_vel=0.1, std_steer=np.radians(1),\n", + " std_range=0.3, std_bearing=0.1)\n", + "print('Final P:', ekf.P.diagonal())" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "a5fb81cd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Final P: [0.014 0.016 0.002]\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Final P: [0.305 0.788 0.004]\n" + ] + } + ], + "source": [ + "landmarks = array([[5, 10], [10, 5], [15, 15], [20, 5]])\n", + "\n", + "ekf = run_localization(\n", + " landmarks, std_vel=0.1, std_steer=np.radians(1),\n", + " std_range=0.3, std_bearing=0.1)\n", + "plt.show()\n", + "print('Final P:', ekf.P.diagonal())\n", + "\n", + "ekf = run_localization(\n", + " landmarks[0:2], std_vel=1.e-10, std_steer=1.e-10,\n", + " std_range=1.4, std_bearing=.05)\n", + "print('Final P:', ekf.P.diagonal())\n", + "\n", + "ekf = run_localization(\n", + " landmarks[0:1], std_vel=1.e-10, std_steer=1.e-10,\n", + " std_range=1.4, std_bearing=.05)\n", + "print('Final P:', ekf.P.diagonal())" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "5d7d9661", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Final P: [0.006 0.007 0.001]\n" + ] + } + ], + "source": [ + "landmarks = array([[5, 10], [10, 5], [15, 15], [20, 5], [15, 10], \n", + " [10,14], [23, 14], [25, 20], [10, 20]])\n", + "\n", + "ekf = run_localization(\n", + " landmarks, std_vel=0.1, std_steer=np.radians(1),\n", + " std_range=0.3, std_bearing=0.1, ylim=(0, 21))\n", + "print('Final P:', ekf.P.diagonal())" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "65619821", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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KiopScXGx1/7i4uJG16y3bt1agwcP1g8//NDgMTExMYqJifElNAAAACBi+dTTHh0draFDhyovL8+zz+l0Ki8vTyNGjGjUNaqrq/XFF1/UGZ0MAAAAoH4+zx6Tk5OjSZMmKSMjQ8OGDdP8+fNVUVHhmU1m4sSJSklJ0ezZsyVJd999t4455hj17t1bu3fv1kMPPaRffvlFV1xxhX9/EgAAgBDgdPpnHQ9EBn/9ffA5aR8/frx27NihmTNnqqioSIMGDdLq1as9g1O3bt0qq7WmA3/Xrl2aOnWqioqK1KFDBw0dOlQff/yx+vXr55cfAIhEhY5CpeamyhZn85rHHQAQuqKjo2W1WrV9+3Z16dJF0dHRrE3TgrlcLlVVVWnHjh2yWq2Kjo5u1vV8TtolKTs7u8EVsNasWeP1/OGHH9bDDz/clNsALZbT5fRpkSUAgPmsVqt69uypwsJCbd++3exwECLatm2r7t27e3VqN0WTknYAgeFeXbXQUSiny+npcXe/Rq87AIS26Ohode/eXb///ruqq6vNDgcmi4qKUqtWrfzyjQtJO9AIGUsyVOQw1iIodBQG7D7upDw1N1X2cjs97gAQhiwWi1q3bq3WrVubHQoiCEk70AhFjqKgJs/uHnepptcdAAC0XCTtgA+sFquS44zpSmsn1v5WuwzG3esOAABaLpJ2wAfJcckqyCkwOwyPV16RqqqkZg5IBwAAIY6kHQhjQ4eaHQEAAAiG5s09AwAAACDgSNoBAACAEEd5DBDGVq2S9u6V2rSRzjjD7GgAAECgkLQDYezKKyW7XUpJkQpCZ3wsAADwM8pjAAAAgBBH0g4AAACEOJJ2AAAAIMSRtAMAAAAhjqQdAAAACHEk7QAAAECIY8pH4CAylmSoyFGkQkeh2aHIXm5Xam6q176Sig2SkswJCAAABA1JO3AQRY4i2cvtZofhcWAsVpfTpEgAAEAwkbQDjWC1WJUclyxbnM3sUCQZ8ThdTlmjK9QuXoqLMzsiAAAQSCTtQCMkxyWrIMecJUcP/KBgi7N5vgFImjHatLgAAEDwkLQDIS5/Wn6dfQfWtgMAgMjG7DEAAABAiCNpBwAAAEIc5TFAGCt97W+64mupQwfpoYfMjgYAAAQKPe1AGHNsPENPPCE98s9is0MBAAABRNIOhDOX8VDNfO0AAEQ0ymOAMOSeBtJuMTkQAAAQFCTtQBhyTwMZdXeh6GMHACDyUR4DAAAAhDiSdgAAACDEkbQDAAAAIY6kHQAAAAhxJO0AAABAiCNpB8LIDz9IDzxQ8zz2yDyp3/OK7pOnK6+Uvv7avNgAAEDgkLQDYaCsTLriCqlPH+m226Rdu4z9Hc6fIV1wgVqfPkOPPSb96U/SxRdLv/5qbrwAAMC/SNqBELd+vXTUUdITT0hOp+RySR9/7H1MVVVN+9//lgYMkP773+DGCQAAAoekHQhh77wjnXii9MsvxvP4eOm++6TjjvM+rlMnKTdX6tjReF5YKGVlSa+8Etx4AQBAYJC0AyEqL08aM0aqqDCeH3us9PnnRnlM+/bex1os0l//Kn35pXTKKca+ykrp3HOll14KatgAACAASNqBEPTll9I559SUvZx1lpHEp6d7H1fy8OvSvG3Go6TkZOn116VLLzVer66WJkyQPv00eLEDAAD/I2kHQsxvv0lnnGEMPpWkM8+U/vMfKTa27rHV5V2l8lTj8Q+tW0vLlkmXXGI837tXGjtW2r498LEDAIDAIGkHQszKlTU17BkZxsDSVq18u4bVagxcHT3aeN63r19DBAAAQdakpH3hwoVKT09XbGyshg8frnXr1jXqvBUrVshisWjcuHFNuS3QIlx1lbR8udSzp1GP3q7doc9xuqqVmpuq1NxUZSzJkCRFR0vPPy/NmSO9+67UrVuAAwcAAAHjc9K+cuVK5eTkaNasWdq4caMGDhyorKwslZSUHPS8n3/+WTfeeKNOOOGEJgcLtBQXXSRt3iylpjbyBJdkL7fLXm5XkaPIs7tzZ+mmm6SoqMDECQAAgsPnpD03N1dTp07VlClT1K9fPy1evFht27bV0qVLGzynurpaEyZM0F133aXDDjusWQEDLUXr1oc+Jspi/BO2WqNktVDtBgBApPLpt3xVVZU2bNigzMzMmgtYrcrMzNTatWsbPO/uu+9W165ddfnllzfqPpWVlSorK/PagEj25pvSq6/6fl7XdkmSpOS4ZCXHJR/yePdsNHv2+H4vAABgHp+S9p07d6q6ulpJSUle+5OSklRUVFTvOR9++KGeeOIJPf74442+z+zZs5WYmOjZ0tLSfAkTCCuVlVJ2tjGt4/nnS/v2BeY+mzdLO3YY7dJSqbw8MPcBAAD+F9Dv08vLy3XppZfq8ccfV+fOnRt93q233qrS0lLPtm3btgBGCZhrwQLpp5+M9m+/STExgblPnz5SmzZG2+mUHnwwMPcBAAD+59NEcp07d1ZUVJSKi4u99hcXF8tms9U5/scff9TPP/+sM88807PP6XQaN27VSps3b1avXr3qnBcTE6OYQGUuQAj57TfpnnuMtsUizZtnPAZKQqK094/SmHnzpCuv9GGwKwAAMI1PPe3R0dEaOnSo8vLyPPucTqfy8vI0YsSIOsf37dtXX3zxhTZt2uTZxo4dqxNPPFGbNm2i7AUtXm6uUaoiSZMnS4MG+Xb+nDnS448bj43RqtYsMvv2SbNn+3Y/AABgDh+XbJFycnI0adIkZWRkaNiwYZo/f74qKio0ZcoUSdLEiROVkpKi2bNnKzY2Vv379/c6v3379pJUZz/Q0uzcKT3yiNFu3Vq6807fr3HxxTXtm3Mbf57FIrlkJPy33CJ17+77vQEAQPD4nLSPHz9eO3bs0MyZM1VUVKRBgwZp9erVnsGpW7duldXK1HPAoTz0kORwGO2pU4ObOMfFSeWS9u+X7rtPeuyx4N0bAAD4zuJyuVxmB3EoZWVlSkxMVGlpqRISEswOBy1Iam6q7OV2pcSnqCCnwG/X3bXLSNIdDmPg6Q8/NL+2vHastjib1yJLtjib8qfle45JbpeiinsKVFZm9PJv2SKlpDTzhwIAAD7xJcelSxwwwaJFNb3sU6Y0PWHfvFn66ivjsbYiR5FnhdQDV0mVJKtVuvpqo71/vzR/ftPuDwAAgoOkHTDBunXGo9Uq3Xhj069z8slS//7Go6+mT5diY6XTTzfmiAcAAKHL55p2AM330kvSBx9In34q1TPraVDYbMb88MmHXkgVAACYjKQdMIHFIo0caWz+VugobPSxJOwAAIQHknYgwjhdTrNDAAAAfkbSDgTRli1Sz56BubYtru6qxPZye6PO/f136bXXpPx8YwpIAAAQWkjagSApKpKOOEIaPFi6+WbpvPP8e/38afl19rmneDyUk0+W3n/faE+eLB1+uH9jAwAAzcPsMUCQPP640aO9fr20YYPZ0Xj7859r2osXmxcHAACoH0k7EAS//16z6qjVKl15pbnxHOjyy41FniRp6VJpzx5z4wEAAN5I2oEgePVVyf5HlcoZZ0g9epgbz4E6d5bGjzfau3dLK1aYGg4AADgASTsQBIsW1bTdK5GGmtpx/eMf5sUBAADqImkHAmzrVikvz2j36iWdcor/rr1+vbRtm/HYXMOGSUOGGO0NG6Qvvmj+NQEAgH+QtAMB9q9/SS6X0Z482ahp95fkZCk11T+LJFks0pQpNc+ffrr51wQAAP5B0g4EkMslPfVUzfNLLzUvlsa46CKpdWuj/cwzxgBaAABgPpJ2IIA++UT6/nujPXp06A1APVCnTsZAWcmYV/7jj82NBwAAGFhcCQigmBhp7FjpjTekSZP8f/0lSySHQ4qLk6ZN8881r7pK6t3biPdPf/LPNQEAQPOQtAMBNGSI9Mor0o4dUrt2/r/+3XcbU0mmpPgvaT/lFP8OlgUAAM1H0g4EQZcuZkcAAADCGTXtAAAAQIgjaQcCoKREeuklqarK7Eiabvt26cEHjbp292BaAABgDpJ2IABWrpTOOUfq1k167TWzo2ma5culGTOkr7+WVqwwOxoAAFo2knYgAFauNB5//VVKTzc1lCYbP76m7f55AACAOUjaAT/btk366COjfeSRUv/+5sYjSYWOQqXmpqrQUdjoc9LSpGOPNdpffWVsAADAHCTtgJ89/3xN+8ILJYvFvFjcnC6n7OV2OV1On8678MKaNr3tAACYh6Qd8LPayW3tEhMz2OJsSolPUUp8iqwW3/+5n3dezYeOFSskl8vPAQIAgEZhnnbAj7ZskdatM9oDB0p9+gT2fkccISUmSklJ9b+ePy3f007NTZW93O7T9ZOTpVGjpDVrjBlkNm2SBg9uerwAAKBp6GkH/Oi552rawehlf/ddo9b83Xd9O6/QUaiMJRmNOpYBqQAAmI+kHfCjUCqNORiny6kiR1Gjjj33XCkqymivXEmJDAAAZiBpB/zk+++l//3PaGdkSIcdZm48B7LF2ZpU196li3TyyUZ7+3bphx/8HBgAADgkknbgABlLMpSam+rzFImxsdINNxhTJdaedSVU5E/LV3JccpPOvfFGadkyY6XXww/3b1wAAODQGIgKHKDIUeTzgE3JSNbnzpXmzJH27w9AYPWYMEHauVPq3Fl69tnA3eeUUwJ3bQAAcGgk7UADrBarp2faFmdr/HlWKSYmUFF5++9/JbtdSkkJzv0AAIA5SNqBBiTHJasgp8DsMALGvUqqZHwoqT09JAAACC3UtAN+8MILRo93OHGvkmovtzd6Jpk33pAuu8yYux0AAAQPSTvQTCUl0vnnS6mp0sUXmx1N41gt1iatknr//dKTT0rvvy9t3hyg4AAAQB0k7UAzvfZazdzlPXqYG0tjuUt/fJ1N5pxzatovveTnoAAAQINI2oFmqp28nn22eXEEQ+2f78UXzYsDAICWhqQdaIbycuntt412SoqxqFIk69lTGjzYaK9fL23dam48AAC0FCTtQDO8+aZUVWW0zzrLmO4x0tUukXn5ZdPCAACgRWkBKQYQOC2pNMatdtJOiQwAAMHBPO1AE1VWSq+/brQ7dDBnGsSpU6XSUikxMXj3PPJI6YgjpO++kz74QNqxQ+rSJXj3BwCgJaKnHWiid981atol6YwzpNatgx/DrFlSbq7x2BzuhZYylhy6KN9ikcaNM9pOpzF3OwAACKwmJe0LFy5Uenq6YmNjNXz4cK1bt67BY1988UVlZGSoffv2ateunQYNGqR//etfTQ4YCBWRVBrjXmipsYssjR1b037vvQAFBQAAPHxO2leuXKmcnBzNmjVLGzdu1MCBA5WVlaWSkpJ6j+/YsaNuv/12rV27Vp9//rmmTJmiKVOm6K233mp28ICZRo6UMjOlhAQpK8vsaJrGFmdr0iJLxxxj9O6vXSstXRqg4AAAgIfF5XIvC9M4w4cP19FHH60FCxZIkpxOp9LS0nTttddqxowZjbrGkCFDNGbMGN1zzz31vl5ZWanKykrP87KyMqWlpam0tFQJCQm+hAv4LDU3VfZyu1LiU1SQU3DI4/fuldq0CUJgftDQz+brzwwAAJqvrKxMiYmJjcpxfepeq6qq0oYNG5SZmVlzAatVmZmZWrt27SHPd7lcysvL0+bNmzVy5MgGj5s9e7YSExM9W1pami9hAkFlZsKemmrUmKemmhcDAAAIPJ+S9p07d6q6ulpJSUle+5OSklRU1HAtbGlpqeLi4hQdHa0xY8bo0Ucf1SmnnNLg8bfeeqtKS0s927Zt23wJEwAAAIgoQZnyMT4+Xps2bZLD4VBeXp5ycnJ02GGHafTo0fUeHxMTo5iYmGCEBvissFD68UdpxAgpKsrsaMy1dav0wgvSq69K8+ZJQ4aYHREAAJHJp6S9c+fOioqKUnFxsdf+4uJi2Wy2Bs+zWq3q3bu3JGnQoEH65ptvNHv27AaTdiCULV8u3Xij1KmT9PTT0p//bHZE5nnzTSknx2i/8gpJOwAAgeJTeUx0dLSGDh2qvLw8zz6n06m8vDyNGDGi0ddxOp1eA02BcPLaa8bjr79KvXqZG4vZzjijpv3qq+bFAQBApPO5PCYnJ0eTJk1SRkaGhg0bpvnz56uiokJTpkyRJE2cOFEpKSmaPXu2JGNQaUZGhnr16qXKykq98cYb+te//qVFixb59ycBgmDXLunDD4324YdLffqYG4/ZUlKkjAwpP1/atMkol+ne3eyoAACIPD4n7ePHj9eOHTs0c+ZMFRUVadCgQVq9erVncOrWrVtltdZ04FdUVOjqq69WQUGB2rRpo759++qZZ57R+PHj/fdTAEGyerVUXW20a/cyt2RjxxpJu2R8C3HNNebGAwBAJGrSQNTs7GxlZ2fX+9qaNWu8nt9777269957m3IbIOS4S2Mk6cwzzYsjlIwdK82cabRffZWkHQCAQPB5RVSgpfr9d2PgpSQlJkrHH29uPKHiqKNqSmLee08qKzM3HgAAIhFJO9BIH30k7d5ttE87TWrd2tRwQobFYvS2S9L+/dJbb5kbDwAAkYikHWikUCyNeeYZo87+mWfMjeOss2razCIDAID/BWVxJSASrFplPFqt0umnmxuLWyCWOshYkqEiR80Kx7Y4m/Kn5R/0nJEjpYQEozTmjTeMwbotfeEpAAD8iaQdaITKSiMxLSuTeveWOnY0O6LAKXIUyV5u9+mc6GhjMGr79tKYMSTsAAD4G0k70AgxMdKSJZLTaSyqFKkKHYVNPveGG/wYCAAA8ELSDvjAapW6dDE7ihpr1hjfAsTE+KdUxulyNv8iAADA70jagTB2ySWS3W6sTFpQ0PTr2OJsdfb5WiIDAAACh6QdOIRffpHi4qROncyOJHDqG2iampvqc+JeVWX0/r/2mpSRIU2a5KcAAQBo4ZjyETiE226TunaVTjhB2rbN7GiCr9BRqNTcVKXmpipjScZBj/3pJykrS1qwQFq2LDjxAQDQEtDTDhyEexVUp1P6/HMpKcnsiILP6XI2use9Tx+pVy/pxx+lDz4wFqNq3z6g4QEA0CLQ0w4cxMcfS7t2Ge3TTjOmNmwpbHE2pcSnKCU+RVZL4/6rsFhqFp6qrjYWfgIAAM1H0g4cRCiughos+dPyVZBToIKcAiXHJTf6vNrvU+33DwAANB1JO3AQ7qQzlFZBDXUnnCAlJhrtN980SowAAEDzkLQDDfj9d2nzZqN97LGRPXuMP7VubZQSSUZp0UcfmRsPAACRgKQdaMC+fTXtllYa01xnnFHTXrXKvDgAAIgUJO1AA0jam+70042SIom6dgAA/IGkHWhAZaXx2KuX1LevubE0pKBAcrmatxpqIHTqJB13nNHevFn6/ntz4wEAINwxTzvQgOhoab/FKPWwWMyOJvxcdpk0dKjxLUV6utnRAAAQ3kjagQZ06SL9r1jav9/sSMLT5MlmRwAAQOQgaQcOoksXsyMAAAAgaQfC2l13SaWlxrzos2YF/n6FjkKl5qZ67bPF2ZQ/LT/wNwcAoAUjaQcO4HSaHUHjPf64ZLdLKSnBSdqdLqfs5XafzikoMKZ9rKiQbrghQIEBABDhSNqBA+zYIamttHu3MTMLg1CN3vQDFToK5XQd/BPO779LAwYY72WHDtL06VIr/tcBAMBn/PoEavnuOyPRlIwBqCTshvrKX1JzUw/Z696qlZSVJa1cWbM66qhRgYoSAIDIxTztQC21FwJq08a8OCJJ7dVRWWgJAICmIWkHaqmdVMbGmhdHJKm9OuqqVebGAgBAuCJpB/7w22/Shx/WPKf22j9YHRUAgOYjaQf+8OabUnW12VFEpjPPrGlTIgMAgO9I2oE/kEwGDkk7AADNQ9IOSKqqklavNtrMGON/ffpIvXoZ7Q8+MKaABAAAjUfSDshIJEtLjXY4DUAdNUo69dTQn0bRYqnpba+urvmABAAAGoehdoCk7duNxX927TKmetz7u9kRNc6zz5odQeONGyd9+aWRvJ9wgtnRAAAQXkjaAUmXXipddJH08cfSReslOcyOKPKMGhX63wgAABCqKI8B/tCqlTRyJDXtAAAg9NDTDqDZMpZkqMhR5Hlui7Mpf1q+iREBABBZSNrR4u3da9Sxh6OTTpKKi6WkJOndd82Lo8hRJHu5vVHHVldLa9caC1nNmBHgwAAAiBCUx6BFKymROnaUsrKk554zOxrfffed9PXXxqNZCh2FKnQUNvr4ceOMgai33mpu3AAAhBOSdrRob7wh7dsn/d//SRs3mh1NeHK6nHK6nI0+fuTImvaqVQEICACACER5DFq02qtzjh1rXhzhyBZnq7OvdolMQ3XuZ54p3Xyzse+116ScnICHCgBA2CNpR4u1b5/01ltGu3Nnafhwc+MJN/UNNE3NTfUk7g3VubtXR/3xR2NRq127jDnyAQBAw5pUHrNw4UKlp6crNjZWw4cP17p16xo89vHHH9cJJ5ygDh06qEOHDsrMzDzo8UCwrFkjVVQY7TFjpKgoU8NpMVgdFQAA3/mctK9cuVI5OTmaNWuWNm7cqIEDByorK0slJSX1Hr9mzRpddNFFeu+997R27VqlpaXp1FNPld3euJkmgEChNMY87qRd8v5zAAAA9fM5ac/NzdXUqVM1ZcoU9evXT4sXL1bbtm21dOnSeo9/9tlndfXVV2vQoEHq27ev/vnPf8rpdCovL6/ZwQNN5XRKr7xitKOjpVNOMTeeSHOoGWVOOEFKTDTab7whVVUFKTAAAMKUT0l7VVWVNmzYoMzMzJoLWK3KzMzU2rVrG3WNPXv2aP/+/erYsWODx1RWVqqsrMxrA/xp/XrJ/WXPKadI8fHmxhNpDjWjTOvW0hlnGO3SUum994IUGAAAYcqnpH3nzp2qrq5WUlKS1/6kpCQVFRU1cJa3W265Rd26dfNK/A80e/ZsJSYmera0tDRfwgQO6aWXatpnn21eHJHGFmdTSnyK19aQc86pab/4YhCCAwAgjAV19pgHHnhAK1as0Jo1axQbG9vgcbfeeqtyas0DV1ZWRuIOv/rpJ+PRag3vevaZMyWHQ4qLMzsSw6FmlKktK0vq2dP4puPii4MRHQAA4cunpL1z586KiopScXGx1/7i4mLZbHXnbK5t7ty5euCBB/TOO+/oqKOOOuixMTExiomJ8SU0wCfPPSf98ov06adSly5mR9N006aZHUHTtWtnTPtosZgdCQAAoc+n8pjo6GgNHTrUaxCpe1DpiBEjGjxvzpw5uueee7R69WplZGQ0PVrAj3r0kC64wOwoWjYSdgAAGsfn8picnBxNmjRJGRkZGjZsmObPn6+KigpNmTJFkjRx4kSlpKRo9uzZkqQHH3xQM2fO1PLly5Wenu6pfY+Li1NcqHynDwAAAIQwn5P28ePHa8eOHZo5c6aKioo0aNAgrV692jM4devWrbJaazrwFy1apKqqKp133nle15k1a5buvPPO5kUP+Gj/fqlVq8jp4S0sNBYoioqSkpPNjqbpfv3VmK/9uOOkww83OxoAAEJPkwaiZmdnKzs7u97X1qxZ4/X8559/bsotgIBYsEBauNCYMebaa6Xu3c2OqHmOPtqYujIlRSooMDuagyt0FCo1N1WSMcuMe9Dqyy9L551nfPiYOVO66y4TgwQAIET5vLgSEM5efNEY/Dh3rrRnj9nRtCxOl1P2crvs5XYVOWqmiB02zEjYJaZ+BACgISTtaDGKi6WPPjLaffsaGwKv9tztVkvd/3K6dZPc49i//FL6/vsgBwgAQBggaUeL8corkstltGsv7IPAyp+Wr4KcAhXkFCg5rv7C+9oLXNVe+AoAABhI2tFisApq6HDXt2csMaaAJWkHAODgSNrRIpSWSu7lBdLSpKFDzY2npXPXt7tr23v3lgYMMF775BNjcC0AAKhB0o4W4fXXjekeJaNXN1KmfAw37vr2+mrba/e2v/JKEIMCACAMkLSjRag9Kwn17OZx17fXV9te+8/lhReCGBQAAGGApB0Rz+GQ3njDaHfpYizgg9Bz1FHSYYcZ7TVrpJISU8MBACCkNGlxJSCcfPWVFB0t7d0rnXuusSIqQo/FIo0fb4w9GD9eat3a7IgAAAgdpC+IeMOHG3O0/9//SenpZkfjX3l50u+/R84HkXvvle6/3+woAAAIPRHyqx44uJgY6cwzzY7C//r0MTsC/7JSsAcAQL34FQkAAACEOJJ2RLR9+8yOAE3hckn5+dKCBWZHAgBAaKA8BhFr926pRw/pxBOlyy+PzPKY5culPXuktm2liy82O5qmyViS4VlkyW3nr1LlPkkOm8625yslxZzYAAAIFSTtiFivvCKVlRmPPXpEZtJ+883G6qEpKeGbtBc5imQvP2AJ1Og/Nkn/+Y80fXrQwwIAIKRQHoOI9dxzNe3x482LAw0rdBSq0FEoSbJarEqJTzFWTK31X9PKlWZFBwBA6CBpR0T67Tfp7beNdlqadMwx5saD+jldTjldTklSclyyCnIKjBVT42tWTF27VvrlF7MiBAAgNFAeg4j0/PPS/v1G+4ILmEow1NjibI3a5/bvf0szZgQyIgAAQhtJOyLSM8/UtC+5xLw4UL/8afk+Hf+vf0m33GKsmgoAQEtE/yMizpYt0ocfGu0//UkaONDceNB00X8MRv36a+mzz8yNBQAAM5G0I+IsX17TnjCB3tlw1rZtTfvZZ82LAwAAs5G0I6K4XN6lMeE6DSIMbdpIrf4o4lu+XKquNjceAADMQk07IsquXTW9syNHGvOzI3wV7ylUzC2pSqi2aenofL41AQC0WCTtiCgdO0obNhg10A6H2dEEns3m/RhpnC6n9ra2q2NHKSvL7GgAADAPSTsiUr9+ZkcQHPm+TcISNtzTPxY6Cj3zuAMA0JJR0w4g5ORPyzcWWYpLPvTBAAC0APS0I2J8/73UuzezxUSqIYsz9PPOIv3+u5SQYOyzxdl8nvMdAIBwRNKOiPDbb9KAAVLPntL110t/+YvZEcHfvvy5SPvb2CWLVF5udjQAAAQXSTsiwvLlUmWl9O23xtZS/OUvxgeWjh2lxx4zO5rAatNG2i9JTqssVsklat0BAC0HSTsiwhNP1LQvv9y8OILt9dclu11KSTE7ksBr21Yq2yPJkSxrlFTdzm52SAAABA1JO8Le//4nbdpktIcNk/r3NzUcBECho9DrOYssAQBaGpJ2hL3aveyXXWZeHAgcpn0EALR0JO0Ia/v2Sc8+a7TbtJEuvNDceOBf7vnaaysqtqm6TZEkyUkuDwBoIUjaEdZeeknavdton3eelJhoajjws/qmc5w+Xfq7UiVJe/cGOyIAAMzB4koIa//8Z027JQ1Abclq/zlXVEgul3mxAAAQLCTtCFvffiu9+67R7t1bGjnS3HgQHEcdJbVubbT375d++MHceAAACAaSdoSt1q2lyZOlmBjpqqtYCbUliY83Hm026fDDzY0FAIBgoKYdYatXL+nJJ6W5c6XoaLOjQTC1aSOpXCraY1dqbqrXa7Y4W7218AAAhDOSdoS9Tp3MjsA8F10k7doldehgdiTmsZezyBIAIPKRtANh7KGHzI4gNFgtRqUf87kDACIVNe0IO/n50pIlxswhgCSpPFkdWiWbHQUAAAHTpKR94cKFSk9PV2xsrIYPH65169Y1eOxXX32lc889V+np6bJYLJo/f35TYwUkGTXsf/mLlJIibdhgdjQwgy3OppT4FHVqnSKVpchZZpPDYbxmLzfq3GtvGUsyzA0YAIBm8rk8ZuXKlcrJydHixYs1fPhwzZ8/X1lZWdq8ebO6du1a5/g9e/bosMMO0/nnn6+//vWvfgkaLdf27dILLxjt6Gipf39z44E53ANNnU5j9piffpIqc1KlGON16twBAJHG55723NxcTZ06VVOmTFG/fv20ePFitW3bVkuXLq33+KOPPloPPfSQLrzwQsXExDQ7YLRsjzwi/f670Z461ZjusSXr21dKSDAeWyKrVbr66gZes1g9te4AAIQ7n36jVVVVacOGDcrMzKy5gNWqzMxMrV271m9BVVZWqqyszGsDysqkxYuNdnS0lJ1tbjyhwOGQysvlKQ1pia64ombe9tqS45KVHEedOwAgMviUtO/cuVPV1dVKSkry2p+UlKSioiK/BTV79mwlJiZ6trS0NL9dG+Hr8ceNxF2SLr1USiYfg6TERGOMgxw2qSxF8a4UpcSnyBZnMzs0AAD8JiSnfLz11luVk5PjeV5WVkbi3sJVVUm1xzDfcINpoSAETZ8uze+Zr99/l1p1kL7dKsXFqc7CSwAAhCufeto7d+6sqKgoFRcXe+0vLi6Wzea/Xq2YmBglJCR4bWjZVqyQCgqM9plnSkceaW48CC2pqdLFFxvtXbukA4fYFDoKmUUGABDWfErao6OjNXToUOXl5Xn2OZ1O5eXlacSIEX4PDpAkl8uY5tHt5pvNiwWh68Yba9q5uTUDliVj0SV7uV1FDv+V8QEAEEw+l8fk5ORo0qRJysjI0LBhwzR//nxVVFRoypQpkqSJEycqJSVFs2fPlmQMXv366689bbvdrk2bNikuLk69e/f244+CSPXNN9J33xntY46RjjvO3HgQmgYMkE47Tfr0U2nCBKmyUp669kJHoWe11IwlGV7Juy3O5plCEgCAUOVz0j5+/Hjt2LFDM2fOVFFRkQYNGqTVq1d7Bqdu3bpVVmtNB/727ds1ePBgz/O5c+dq7ty5GjVqlNasWdP8nwARr18/aetWacECI2m3WMyOCKFq8WKpUyejnl2qmc89NTdV9nK7Ch2FzOEOAAhLTRqImp2drewG5ts7MBFPT0+Xy+Vqym0Aj65dpbvvNjsKhLoePQ7+uru3HQCAcBOSs8cAgD/VN/0jPe4AgHBC0o6Q9e23UlKS1KGD2ZGErsWLpb17pTZtzI4k9OzYIc2ZIw0bpnpr1muXzLinhqS+HQAQqkjaEZJcLmMBpe+/l/76V2nGDCkmxuyoQs8ZZ5gdQWj6+Wepf3+pokI64gjp7LOlVg38b+eeWQYAgFDm05SPQLCsWiXl50ulpdLLL0utW5sdEcJJerp09NFG+7vvpOXL6x5ji7MpJd5YPdVq4b9CAEBo4zcVQk51tTRzZs3zO++UrPxNhY/uusu7XVXl/Xr+tHwV5BSoIKdAyXHJkliECQAQuiiPQch5+mlp0yajPXSoNHasqeGEtA0bjGQ0Otp4r1Bj5EgpM1N65x3pp5+MKUNzcg5+Tu1SmQPnc5eoeQcAmIekHSHF4ZBuu63m+dy5zMt+MGedJdntUkqKVFBgdjShZ84c48OMy2VMGTpxotS5c93j6luEqchRVKfW3V5uV2puKsk7ACDoKDpASHnwQanoj87NceOk0aPNjAbhbvBgafJko11a6l0yU5u7VMZdJlPbgfXu9nJ7nR54AAACjaQdIWPrVqNnXTIGnj70kLnxIDLcd5/Urp3RXrRI+uYb385PjkvW0OShDFgFAJiK30AIGbfdJu3bZ7SvvVbq3dvceBAZkpONKUMlY5DzjTf6fo2D9cQDABAMJO0ICQ6H9NFHRrtTJ+mOO8yNB5ElJ0dKTZW6djXGAbhcBz++0FGoQkdhcIIDAKARGIiKkBAXJ33xhTHV4xFHSO3bmx0RIknbttIrrxjf3iQkHPp492BUAABCBUk7QkZcnJSba3YUiFRDhhz6GPcsMofaBwBAsJG0A2ixysul+Pia50zjCAAIVdS0wzROp3TTTcbCN0AwFRdLF10kHX+8tH+/7+e7V05l9VQAQLCQtMM0//iHMcVj//7SsmVmR4OW5OKLpRUrpM8/N9YG8JV75VR7uV0bCjeQvAMAAo7yGJjiyy+NXnZJ2rtX6tHD3HjC1TffGDOhsGqsb+bMkYYNM77tufNOKTNTOuaYQ59Xu7699mqp7gQ+NTfVcxylNgAAfyJpR9Dt3StdeGHNnOzXXCOdeKK5MYWr2vXYaLyhQ6Xbb5fuuceYu/3ii6X//U9KTDz4ebUT8YwlGSpyFNVJ3gEACASSdgTdjTdKX31ltAcMqFkFFQimmTOlvDzp44+lLVukq6+Wnnmm8d9auBN4d/IuGbXu7tIZd6+7G73vAIDmIGlHUL3yilHLLkmxsUZdcWysuTGhZWrVSnr2WWnQIKm0VFq+XMrKkiZO9O06tRPx1NxUT287ve4AAH8iaUfQfPedNHlyzfP586V+/cyKJjLk5kplZcaCQTk5ZkcTftLTpcceM8q1JOmqq6SjjjISeX+xWqz0vgMAmo2kHUGxa5d05pnS7t3G83POkaZNMzWkiJCbK9ntUkoKSXtTjR8vvf229MQT0p490tix0vr1UlKS79c6cCEmW5zNq+79wN53EnkAQGORtCMoPvhA+vFHo+2e4pEZTxAqFiwwZjT69FNjUHT79k27Tn3J9oFJubvn3Y0yGgBAY5C0IyjGjpXeessY7Pfaa8x6gtASGyu9/LL0n/8YsxkF8gNlclyypwe+NvcgVgAA6kPSjqA5+WTp66+lqCizIwHqstmk7OwAXLeekpmGeuTdve61Z6Q52DkAgJaDpB0B87//SYMHe+8jYUc42bhRevddY5rSpvI12S50FFIyAwCow2p2AIhMjz8uDRki3Xuv2ZEATfPJJ9JJJxkr9z70UPDuS4kMAKA+9LTD75Yulf7yF6N9xx3G8vCZmebGBPhq/Xpj/nZJuvlm41uiQM7Qc2AZjcQgVQBADZJ2+I3LJd13n5Gou91wg1HLDoSba6815sD/29+M5zfcIBUWSg8+KFkD8B3lwercCx2Fnllo7OV2pcSneB1HzTsARD6SdvhFdbUxiG/x4pp906cbZQVM7Yhwdfvt0u+/S3feaTyfO1favl168kkpOjp4cbgXZ3KjBx4AWh6SdjTbrl3G0u+rVtXsmzPHGLxHwh5YQ4ZIaWlSly5mRxK5Zs0yZpa5+mrJ6ZSWLzcS9xUrmrYAky9ql8wcOCWk1WJ091MDDwAtA0k7mmX9eumCC6Sffzaet25t9EJOmGBqWC3Gq6+aHUHL8Je/SMnJ0oUXSnv3SmvWGDMjPfecdPzxgbtv7ZKX2lNCSsZ875K8ymcokwGAyEXSjiZzuYzedHfC3rGjtHIlg04RmcaONaZ/POcco7a9uNjoeQ+W+uZ7d8/l7i6fsZfbqX0HgAhF0o4ms1ikp582ehz79jXKBbp3NzsqIHCOOcZYf2DCBOPD6ciRwbt3fcl2xpIMSWqw3v3A2vfaSb2b+8MAizkBQGgjaUej7d8v/fST1KdPzb4ePaT//tdI2lu3Ni82IFiSkqS33qo7XqOqSvrHP6Qrr5RiY4MTizuxrr2Can2177WfNzSIlcGtABDaSNpxSE6n9PzzxtR3e/dKX38tJSTUvD5ggHmxtXRjx0o7dhgDUalvD576VvZ98EFp5kzp4Yelu+6SLr00eCsAH6r2vXYpjZs7uS90FNZ7zdofBCR63wHAbCTtaJDTKa1ebcy7vnFjzf5bb5UWLjQvLtTYuFGy26WUlEMfi8DZvduYMUmStm6Vpkwxpju9+25p3LjgJe9S/bXvB5sDvqHZZ4ocRXVKbaiXBwDzkLSjjj17jFr1Rx6Rvv3W+7XRo6XLLjMlLCBktW8vrV1rrJz65pvGvq+/ls47TzrsMOm664x/N/HxgY+lsYlzU1ZgZa54ADAPSTs8PvvMWBxp5Upj7vXaBg+WZs+WTj2VudeB+vTvL73xhjHGY8YM6ZNPjP0//SRdf73xjdV550nz5kkdOpgaqqRDr8Bam7tXvb5E/cCaeQBAYJC0w2PdOu8VTSVp1Cgj4Rg7NjBLtwORZtQo6eOPjcGqDz8s/d//GfvLy42kfskS7+NdrtD7IFw7CU+JT1FBToGk+uvc3WU07rnia2uoZObA69SHchsA8EbS3oL8/rvRm/7BB8Y2dap02mk1r593npSdLbVqZbSnTzdW3ATgG4vF+Ld12mnSV18ZpWYrVkgXX2z8+6otK0tq00Y64QRjGzLEvJmY6iuZqb2vod55qWau+NoammLywHr5hjRlMCwDaAFEKpL2CFVaKn3xhfT550ai/vnnxvOKippjOnb0Tto7dDB6B4cODU7tLdAS/OlPRu/6/PnG7Eu1lZRI77xj9La7Z/9p08YotTnqKGngQONxwADj32ugNSW5PVRtfH2JvNVifG1ntVg9K7u61Z7VpjEfAg5274bOIZEHEI6alLQvXLhQDz30kIqKijRw4EA9+uijGjZsWIPHP//887rjjjv0888/6/DDD9eDDz6oP//5z00OuiVzuYyEvKTEWJGxpMRYobH21+vXX2/07B3Kxx/X3Td6tL8iBVBb27bGVtt330mdOkk7d9bs27tXWr/e2GrbvFk64oia5599ZgwU79rVmPKza1fjWsGcqUZqeNGnA8tfaifT7vKb5LhkT+mN26FmtWnKANjGnuPvsp36rscHBgBN5XPSvnLlSuXk5Gjx4sUaPny45s+fr6ysLG3evFldu3atc/zHH3+siy66SLNnz9YZZ5yh5cuXa9y4cdq4caP69+/vlx8i0EpKjIGZ1dXGNIhOZ/3t9u2lfv28z33/faN3233M/v3Svn1SZaXx6G6fdpox2NPtp5+kv/7VSNDLyoyttNTY9u/3vsevv3r3wiUl1f9z9OwpZWTUfA3P/OqAuY4/3vjw/fXXNWVr69dLP/xQ99gDVxt+7jnp/vu991ksxv8FHTsa35bFx0sjRhiDyGtbtMj4PyU6WoqJ8X50t1u1ko48UkpLqzlv715p0yZjfIt7i4ryfm61SstH5ys93biWW0MJ7IEa6rk/cIrJQ6nvnNq9+PX12DcmuW9Mb//Brnew8+tbndaX1xs658APCQ19qPL3NJ6UKgH+ZXG5XC5fThg+fLiOPvpoLViwQJLkdDqVlpama6+9VjNmzKhz/Pjx41VRUaFVq1Z59h1zzDEaNGiQFh846vEPlZWVqqys9DwvLS1V9+7dtW3bNiXUXtUnSG64QfrnPw99XFaW8Yu0tkGDpC1bDn3uvHnSFVfUPP/+eyPBbox167xXKV29Wvr7341euf79je3II6XExMZdr6Xru6CvCssLlRyfrG+zvz30CSbq21cqLJSSk+tOz1nv8WH0s7VkDof0zTfSl18aW0mJ9K9/eR9z7bXG1KyHcuqpxuJotQ0ebHQMHMrcucbYF7cff2z8OJdNm4yOglDi/vvfGMnxB5TtNPK8hlgsFvn469ZvmvOzHHiuL+q7T3OuBwRS9rBsZQ/LDvp9y8rKlJaWpt27dyvxUImayweVlZWuqKgo10svveS1f+LEia6xY8fWe05aWprr4Ycf9to3c+ZM11FHHdXgfWbNmuWSxMbGxsbGxsbGxhbx27Zt2w6Zh/tUHrNz505VV1cr6YD6i6SkJH3bQDdfUVFRvccXFTX89d6tt96qnJwcz3On06nffvtNnTp1kiXU5kYLEe5PamZ9GxFpeD/9h/fSv3g//Yf30r94P/2L99N/Qvm9dLlcKi8vV7du3Q55bEjOHhMTE6OYmBivfe3btzcnmDCTkJAQcn8hwxnvp//wXvoX76f/8F76F++nf/F++k+ovpeHLIv5g0/L5XTu3FlRUVEqLi722l9cXCybre7gIUmy2Ww+HQ8AAADAm09Je3R0tIYOHaq8vDzPPqfTqby8PI0YMaLec0aMGOF1vCS9/fbbDR4PAAAAwJvP5TE5OTmaNGmSMjIyNGzYMM2fP18VFRWaMmWKJGnixIlKSUnR7D/mGJs+fbpGjRqlefPmacyYMVqxYoXy8/O15MC1vNEsMTExmjVrVp2yIjQN76f/8F76F++n//Be+hfvp3/xfvpPpLyXPk/5KEkLFizwLK40aNAg/f3vf9fw4cMlSaNHj1Z6erqWLVvmOf7555/X3/72N8/iSnPmzGFxJQAAAKCRmpS0AwAAAAgen2raAQAAAAQfSTsAAAAQ4kjaAQAAgBBH0g4AAACEOJL2CPPzzz/r8ssvV8+ePdWmTRv16tVLs2bNUlVVldmhhY2FCxcqPT1dsbGxGj58uNatW2d2SGFp9uzZOvrooxUfH6+uXbtq3Lhx2rx5s9lhRYQHHnhAFotF119/vdmhhC273a5LLrlEnTp1Ups2bTRgwADl5+ebHVZYqq6u1h133OH1e+eee+4R81wc2vvvv68zzzxT3bp1k8Vi0csvv+z1usvl0syZM5WcnKw2bdooMzNT33//vTnBhoGDvZ/79+/XLbfcogEDBqhdu3bq1q2bJk6cqO3bt5sXsI9I2iPMt99+K6fTqccee0xfffWVHn74YS1evFi33Xab2aGFhZUrVyonJ0ezZs3Sxo0bNXDgQGVlZamkpMTs0MLOf//7X11zzTX65JNP9Pbbb2v//v069dRTVVFRYXZoYW39+vV67LHHdNRRR5kdStjatWuXjjvuOLVu3Vpvvvmmvv76a82bN08dOnQwO7Sw9OCDD2rRokVasGCBvvnmGz344IOaM2eOHn30UbNDC3kVFRUaOHCgFi5cWO/rc+bM0d///nctXrxYn376qdq1a6esrCzt27cvyJGGh4O9n3v27NHGjRt1xx13aOPGjXrxxRe1efNmjR071oRIm8iFiDdnzhxXz549zQ4jLAwbNsx1zTXXeJ5XV1e7unXr5po9e7aJUUWGkpISlyTXf//7X7NDCVvl5eWuww8/3PX222+7Ro0a5Zo+fbrZIYWlW265xXX88cebHUbEGDNmjOuyyy7z2nfOOee4JkyYYFJE4UmS66WXXvI8dzqdLpvN5nrooYc8+3bv3u2KiYlx/fvf/zYhwvBy4PtZn3Xr1rkkuX755ZfgBNVM9LS3AKWlperYsaPZYYS8qqoqbdiwQZmZmZ59VqtVmZmZWrt2rYmRRYbS0lJJ4u9iM1xzzTUaM2aM199R+O7VV19VRkaGzj//fHXt2lWDBw/W448/bnZYYevYY49VXl6evvvuO0nSZ599pg8//FCnn366yZGFty1btqioqMjr33tiYqKGDx/O7yQ/KS0tlcViUfv27c0OpVFamR0AAuuHH37Qo48+qrlz55odSsjbuXOnqqurlZSU5LU/KSlJ3377rUlRRQan06nrr79exx13nPr37292OGFpxYoV2rhxo9avX292KGHvp59+0qJFi5STk6PbbrtN69ev13XXXafo6GhNmjTJ7PDCzowZM1RWVqa+ffsqKipK1dXVuu+++zRhwgSzQwtrRUVFklTv7yT3a2i6ffv26ZZbbtFFF12khIQEs8NpFHraw8SMGTNksVgOuh2YWNrtdp122mk6//zzNXXqVJMiB4we4i+//FIrVqwwO5SwtG3bNk2fPl3PPvusYmNjzQ4n7DmdTg0ZMkT333+/Bg8erGnTpmnq1KlavHix2aGFpeeee07PPvusli9fro0bN+qpp57S3Llz9dRTT5kdGlCv/fv364ILLpDL5dKiRYvMDqfR6GkPEzfccIMmT5580GMOO+wwT3v79u068cQTdeyxx2rJkiUBji4ydO7cWVFRUSouLvbaX1xcLJvNZlJU4S87O1urVq3S+++/r9TUVLPDCUsbNmxQSUmJhgwZ4tlXXV2t999/XwsWLFBlZaWioqJMjDC8JCcnq1+/fl77jjzySL3wwgsmRRTebrrpJs2YMUMXXnihJGnAgAH65ZdfNHv2bL65aAb3753i4mIlJyd79hcXF2vQoEEmRRX+3An7L7/8onfffTdsetklkvaw0aVLF3Xp0qVRx9rtdp144okaOnSonnzySVmtfKHSGNHR0Ro6dKjy8vI0btw4SUaPXF5enrKzs80NLgy5XC5de+21eumll7RmzRr17NnT7JDC1sknn6wvvvjCa9+UKVPUt29f3XLLLSTsPjruuOPqTD/63XffqUePHiZFFN727NlT5/dMVFSUnE6nSRFFhp49e8pmsykvL8+TpJeVlenTTz/VVVddZW5wYcqdsH///fd677331KlTJ7ND8glJe4Sx2+0aPXq0evTooblz52rHjh2e1+gtPrScnBxNmjRJGRkZGjZsmObPn6+KigpNmTLF7NDCzjXXXKPly5frlVdeUXx8vKcGMzExUW3atDE5uvASHx9fZyxAu3bt1KlTJ8YINMFf//pXHXvssbr//vt1wQUXaN26dVqyZAnfSjbRmWeeqfvuu0/du3fXn/70J/3vf/9Tbm6uLrvsMrNDC3kOh0M//PCD5/mWLVu0adMmdezYUd27d9f111+ve++9V4cffrh69uypO+64Q926dfN0LMHbwd7P5ORknXfeedq4caNWrVql6upqz++ljh07Kjo62qywG8/s6WvgX08++aRLUr0bGufRRx91de/e3RUdHe0aNmyY65NPPjE7pLDU0N/DJ5980uzQIgJTPjbPa6+95urfv78rJibG1bdvX9eSJUvMDilslZWVuaZPn+7q3r27KzY21nXYYYe5br/9dldlZaXZoYW89957r97/JydNmuRyuYxpH++44w5XUlKSKyYmxnXyySe7Nm/ebG7QIexg7+eWLVsa/L303nvvmR16o1hcLpYsAwAAAEIZxc4AAABAiCNpBwAAAEIcSTsAAAAQ4kjaAQAAgBBH0g4AAACEOJJ2AAAAIMSRtAMAAAAhjqQdAAAACHEk7QAAAECII2kHAAAAQhxJOwAAABDi/h8LELw+0fCi9QAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "actual mean=1.30, std=1.13\n", + "EKF mean=1.00, std=0.95\n" + ] + } + ], + "source": [ + "import kf_book.nonlinear_plots as nonlinear_plots\n", + "nonlinear_plots.plot_ekf_vs_mc()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "3f762459", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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index 0000000..91ff0fa --- /dev/null +++ b/kalman_and_bayesian_filters/12-Particle-Filters.ipynb @@ -0,0 +1,741 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "c5dd12f5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "\n", + "#format the book\n", + "import book_format\n", + "book_format.set_style()\n", + "\n", + "import kf_book.pf_internal as pf_internal\n", + "pf_internal.plot_monte_carlo_ukf()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "39f0b19f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pf_internal.show_two_pf_plots()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "22717719", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mean pi(N=20000)= 3.1684\n", + "err pi(N=20000)= -0.0268\n" + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from numpy.random import uniform \n", + "\n", + "N = 20000 # number of points\n", + "radius = 1.\n", + "area = (2*radius)**2\n", + "\n", + "pts = uniform(-1, 1, (N, 2))\n", + "\n", + "# distance from (0,0) \n", + "dist = np.linalg.norm(pts, axis=1)\n", + "in_circle = dist <= 1\n", + "\n", + "pts_in_circle = np.count_nonzero(in_circle)\n", + "pi = 4 * (pts_in_circle / N)\n", + "\n", + "# plot results\n", + "plt.scatter(pts[in_circle,0], pts[in_circle,1], \n", + " marker=',', edgecolor='k', s=1)\n", + "plt.scatter(pts[~in_circle,0], pts[~in_circle,1], \n", + " marker=',', edgecolor='r', s=1)\n", + "plt.axis('equal')\n", + "\n", + "print(f'mean pi(N={N})= {pi:.4f}')\n", + "print(f'err pi(N={N})= {np.pi-pi:.4f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "b49581a8", + "metadata": {}, + "outputs": [ + { + "data": { 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from filterpy.stats import plot_gaussian_pdf\n", + "plot_gaussian_pdf(mean=2, variance=3);" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "92685a2c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pf_internal.plot_random_pd()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "f1389ceb", + "metadata": {}, + "outputs": [], + "source": [ + "from numpy.random import uniform\n", + "\n", + "def create_uniform_particles(x_range, y_range, hdg_range, N):\n", + " particles = np.empty((N, 3))\n", + " particles[:, 0] = uniform(x_range[0], x_range[1], size=N)\n", + " particles[:, 1] = uniform(y_range[0], y_range[1], size=N)\n", + " particles[:, 2] = uniform(hdg_range[0], hdg_range[1], size=N)\n", + " particles[:, 2] %= 2 * np.pi\n", + " return particles\n", + "\n", + "def create_gaussian_particles(mean, std, N):\n", + " particles = np.empty((N, 3))\n", + " particles[:, 0] = mean[0] + (randn(N) * std[0])\n", + " particles[:, 1] = mean[1] + (randn(N) * std[1])\n", + " particles[:, 2] = mean[2] + (randn(N) * std[2])\n", + " particles[:, 2] %= 2 * np.pi\n", + " return particles" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "f28c4809", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0.772, 0.336, 4.171],\n", + " [0.333, 0.34 , 4.319],\n", + " [0.6 , 0.274, 5.02 ],\n", + " [0.054, 0.022, 5.034]])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "create_uniform_particles((0,1), (0,1), (0, np.pi*2), 4)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "1439e1da", + "metadata": {}, + "outputs": [], + "source": [ + "def predict(particles, u, std, dt=1.):\n", + " \"\"\" move according to control input u (heading change, velocity)\n", + " with noise Q (std heading change, std velocity)`\"\"\"\n", + "\n", + " N = len(particles)\n", + " # update heading\n", + " particles[:, 2] += u[0] + (randn(N) * std[0])\n", + " particles[:, 2] %= 2 * np.pi\n", + "\n", + " # move in the (noisy) commanded direction\n", + " dist = (u[1] * dt) + (randn(N) * std[1])\n", + " particles[:, 0] += np.cos(particles[:, 2]) * dist\n", + " particles[:, 1] += np.sin(particles[:, 2]) * dist\n", + " \n", + "def update(particles, weights, z, R, landmarks):\n", + " for i, landmark in enumerate(landmarks):\n", + " distance = np.linalg.norm(particles[:, 0:2] - landmark, axis=1)\n", + " weights *= scipy.stats.norm(distance, R).pdf(z[i])\n", + "\n", + " weights += 1.e-300 # avoid round-off to zero\n", + " weights /= sum(weights) # normalize\n", + " \n", + "def estimate(particles, weights):\n", + " \"\"\"returns mean and variance of the weighted particles\"\"\"\n", + "\n", + " pos = particles[:, 0:2]\n", + " mean = np.average(pos, weights=weights, axis=0)\n", + " var = np.average((pos - mean)**2, weights=weights, axis=0)\n", + " return mean, var\n", + "\n", + "particles = create_uniform_particles((0,1), (0,1), (0, 5), 1000)\n", + "weights = np.array([.25]*1000)\n", + "estimate(particles, weights)\n", + "\n", + "def simple_resample(particles, weights):\n", + " N = len(particles)\n", + " cumulative_sum = np.cumsum(weights)\n", + " cumulative_sum[-1] = 1. # avoid round-off error\n", + " indexes = np.searchsorted(cumulative_sum, random(N))\n", + "\n", + " # resample according to indexes\n", + " particles[:] = particles[indexes]\n", + " weights.fill(1.0 / N)\n", + "\n", + "def neff(weights):\n", + " return 1. / np.sum(np.square(weights))\n", + "\n", + "def resample_from_index(particles, weights, indexes):\n", + " particles[:] = particles[indexes]\n", + " weights.resize(len(particles))\n", + " weights.fill (1.0 / len(weights))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "aff5be89", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "final position error, variance:\n", + "\t [-0.106 0.106] [0.009 0.008]\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from filterpy.monte_carlo import systematic_resample\n", + "from numpy.linalg import norm\n", + "from numpy.random import randn\n", + "import scipy.stats\n", + "\n", + "def run_pf1(N, iters=18, sensor_std_err=.1, \n", + " do_plot=True, plot_particles=False,\n", + " xlim=(0, 20), ylim=(0, 20),\n", + " initial_x=None):\n", + " landmarks = np.array([[-1, 2], [5, 10], [12,14], [18,21]])\n", + " NL = len(landmarks)\n", + " \n", + " plt.figure()\n", + " \n", + " # create particles and weights\n", + " if initial_x is not None:\n", + " particles = create_gaussian_particles(\n", + " mean=initial_x, std=(5, 5, np.pi/4), N=N)\n", + " else:\n", + " particles = create_uniform_particles((0,20), (0,20), (0, 6.28), N)\n", + " weights = np.ones(N) / N\n", + "\n", + " if plot_particles:\n", + " alpha = .20\n", + " if N > 5000:\n", + " alpha *= np.sqrt(5000)/np.sqrt(N) \n", + " plt.scatter(particles[:, 0], particles[:, 1], \n", + " alpha=alpha, color='g')\n", + " \n", + " xs = []\n", + " robot_pos = np.array([0., 0.])\n", + " for x in range(iters):\n", + " robot_pos += (1, 1)\n", + "\n", + " # distance from robot to each landmark\n", + " zs = (norm(landmarks - robot_pos, axis=1) + \n", + " (randn(NL) * sensor_std_err))\n", + "\n", + " # move diagonally forward to (x+1, x+1)\n", + " predict(particles, u=(0.00, 1.414), std=(.2, .05))\n", + " \n", + " # incorporate measurements\n", + " update(particles, weights, z=zs, R=sensor_std_err, \n", + " landmarks=landmarks)\n", + " \n", + " # resample if too few effective particles\n", + " if neff(weights) < N/2:\n", + " indexes = systematic_resample(weights)\n", + " resample_from_index(particles, weights, indexes)\n", + " assert np.allclose(weights, 1/N)\n", + " mu, var = estimate(particles, weights)\n", + " xs.append(mu)\n", + "\n", + " if plot_particles:\n", + " plt.scatter(particles[:, 0], particles[:, 1], \n", + " color='k', marker=',', s=1)\n", + " p1 = plt.scatter(robot_pos[0], robot_pos[1], marker='+',\n", + " color='k', s=180, lw=3)\n", + " p2 = plt.scatter(mu[0], mu[1], marker='s', color='r')\n", + " \n", + " xs = np.array(xs)\n", + " #plt.plot(xs[:, 0], xs[:, 1])\n", + " plt.legend([p1, p2], ['Actual', 'PF'], loc=4, numpoints=1)\n", + " plt.xlim(*xlim)\n", + " plt.ylim(*ylim)\n", + " print('final position error, variance:\\n\\t', mu - np.array([iters, iters]), var)\n", + " plt.show()\n", + "\n", + "from numpy.random import seed\n", + "seed(2) \n", + "run_pf1(N=5000, plot_particles=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "9a317512", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "final position error, variance:\n", + "\t [-0.019 -0.005] [0.005 0.006]\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "seed(2)\n", + "run_pf1(N=5000, iters=8, plot_particles=True, \n", + " xlim=(0,8), ylim=(0,8))" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "8d5e2df3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "final position error, variance:\n", + "\t [-0.17 0.084] [0.005 0.005]\n" + ] + }, + { + "data": { + "image/png": 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3pSb2eXpGcAFt1UJC0lmoLDKV4aa8gRQS63qNuq7R654+/7pEIaiRa3iD5+EZQxiQiQxZllEzvNrgi80XsN5CO40d36FWNQJCao4Wv6CUJQpZIF9ybOwGx+GI0Y0oUcI6i1zl0E6jWzpAAIorFFUBrjiyQJ+hyRqYycAEA15y3NQ3KBSdn4fpQA0An6Ak7e/WW9RFjUIWqHxF5x2TWK/WGM2ISlTYVBv44AlQySQqXlEjxwhgM84AAAEnRYta1pjdjPPpjNVqhR/ufohNsUFAwGk6wUgD7TUylmGRC5qmQVZm6HQHlanUzJwGqjuqnPZYKSVqWUNJRYUw46jzGqIXqD3dEwMbwMExefqMvelRiAI/WP8Aq5zO9lrVAAO60OHr4Wt8HD6CMw4lFIEc1Q4nfcIoRuR5DmMMFk970abZwHqLaZmo/hIKAiLtw23dIlfUKAIEWpjZYNITtNL47b/zt6NQBHYJJvCr/5tfRb2q8df/zP93feNvAvjfA2j/Z/5Oh3/7YhzAz0XJ/pkK8nEc/zVOjBCC0MifccXi5Xl6xmxmTG5CkzXIVQ7F6GIPeoALDo1s0GQNOOPIVAZjDQwMoYrOopKEegQEzHZGm7eY7YyzPuOmugEHx31/Dw+PdbGGYgqMM5znMwILaPMWD/0DnronBEYPMmMM3HFsyg0mPWF2MzblBiEEFKqAdoQW16ixLbf49vAtKlWlDTi+Rnwo/UzIcZ3VOE0nTHaC5BLX1XV60DKZQTsNC4vZzOhtjxJUMHp4aKsxLoTqRMRZMkJZGGOwsMhFTqgVGJqsoUPucmielzMEE2iyBowxKrgALGbBcT6iEAXumjs0GSEyi10wmQnH6UgPFaeJRez6z8sZLNDDCwbkPE8ow7bcQnHa2GOhp7hKxW0pS+yKHbTTGM2Ix/kRBStwXV5DCIHJUCEXENCZDpOhLr2QBXJFr5OJDE/dE44LFeDP4/NPHZLWWzDBMJkJ79p3aMuWUCThsdgFCNRlS0EIXiUrvGpfoVs6LG7B29VbFLLAYIaESBaWkOVM0HcABuQyhzYaLjis8zWKvICeNE76hODpoGvyBs47eHhCJxyhdk3WYPEL3m3eodMdHT5Zg+vyOhUPERWs85reBwg12tU7nKYTMpnhrrmD9x5TMeGquiK002nUWY3ZzuDgqIoKZVZipVZ0XZQkVFDmyESG2c4oJB3gxpn0HGhLiFlAwGE+4NPwiZDxcoXzcgYYcJzpHqkV3XsAqNETF4QbdN2tt4AHoeDOpmd41CM4OEwwmMwEGyy+PX6LwAIEBLbVlhpOkeO6ImS2X/qEGpaiBJeElPpA+5Hiiu4577AuPiMV3lNT1dkO22KL2+oWR31EkzXYFTtsa3qt0YzodIdKVagzKhiVUDhMB/S6x6pcIeP0fI1mTBOrXObodIdNtgHjDJmkA/EwH+CDR2/6hH4HFpDLHP3YY7YzFFe013EOZx0CCwmcEFzgU/cJH/wHVEWFRhKiuMpXAKjx5YzDBw8lFTblBrOZwTw1ItflNTUrTIJnHJOdcFpOOI5HnPQJGc9QqAIHc0hFjHEGdVZTsXcpDFfFCpnM0tSmVCUykSGXObz36OYOPnjc1reosgqLW3CYDoTQzx088xBOoFAFTb28xqhH2gcV3eP3/T1W+QpX1RUWt8B7T9fFUIFSihIePhXjkkvMllDjXtPZASBNyQBACZoS5jLHeTnDGw8fPIyne04wASUVXefLPj6YgaatjCUEW3EFBCp2Y8PBwMA5RyEK3NQ34IzDBYdc0WQtFzlYoAmVqAgQifub9z4BJpJL1FkNbTVEELDBIpMZ4OmAF1xgW26x2AXGGpRZiWmcoIRCW7Q4TzTpvK6uCUW+XK+maKCtxl1zRxMCLrEqVukMmO2MD+cPmO1MTZyZUKkK1tP5arjB7GYCSYRMU5QQCKCRTMIEel3OOJ6nZ0LSL9OLxS2oQoVM0BnHwWGdBQPDbX0L4+l5A6P3AgDbfIvDTAhov/QQUiDXOWpVY1NssCpWEIKamkIWNBkNHlLQZDc2FtLJNDE33qCbCZSb7Yxc5BBMoNMdalXjPJ3Rm5726MseWskKdVEDAfjYfUQucty1d6iyip7tuUO/9LCwqPMat9UtRjfiw/kDnqdnvKpfpeZrla2wqTZ4f3pPkw47wziDw3LAj08/xrv2HTblBlVWoc1azG7G8/iMQhbwnoDF2VAtsinoxwVH968Q1GzbBaUo8Tg9opB0j1aywmE+QEFBe43XzWsCL5jEq/YVbLA0JeUc1lqc9AmDHmjqGBRO8wkeHrtmh9GMmPSEVrbYltRo96ZP5+6Pjz+m88MtEBDIOe2Hve6xztYQEBjs8PkZVjXmMON5ekavaU+/bW+pIbEGHBxKKmirCUHnMzKR0eRw7vGx/whtNCZL0zFtNaqsguAC/8n/5T/BL/1vfwkta7Fb7/C3/ubfwn/xf/8v/idr0n/xM1exv/XrZyrIf8/v+T34M3/mz+DLL7/Er/zKr+Dv//2/j9/4jd/AH/pDf+hnfmHtNJZ5QQgBjlE3r4PGeT7DB4/ZzHjGM1bFKtEfFFc4TScMZiDU9ELJuKluIDihaJtqg8IUOE5H6lKdRSEKtHkLbTXggSADDj2NIDOR4f3pPb49f4vFLYnCIYRAb3voQYNzjlGP1EHWdMD7QMX9bGf0cw/GGXrd46q6Ag80Ai5YQRs1OMqMun0Pj1KVGM2I2+aWum5PXa0ztEFzzqmQsSYVbs47HOcjAGBdrInqEgIKUSRKgGCCkI4LilGqMtEzIrohmEBZlihliVrVic6T8Usz4AjBRwAmM+FD9wGzmdHkDV41r1BlFUY9wnpLyJ8ekMkMbdaizVt0ukvjTx88mGNErZCXxsAKaKcxTRPqvEbpSxhvUKNGCAE+eDRZQ9//0sN7emCDD8h4hloRuuOCo1EoCDWrszqhmYUq0kGjrca22GJVrYBAyNhpoc1GcZXGXwyXzdETDSlSDgpFm9boqHBYF+v0WqMZ8an/BABYVSucDI3gvb8gmnoECwy5JKS613SfCE6HmvUWjDG0WYtCFnjVvKINeHhOdIqI5oMB4zLCwV0uT0hNVdyA3m3eIZc5oVt5htEQnUpwgeADupkKUKUUlmVBcAGn+QTnHdqiTd9BPEgDC+jnHlJQEfOp+4TH4RHOO3BFVKtNvsHsZmqWBdEgMpVh1jN+dPgRruqr9PuUVNjkG5yXMxVaZsFZn4kqNu2R8xwm0JRHMvp+YkFsR0t7QV7iqr6i6Zeq8LH7SAX8d0bvucoxmYnunYwQm1goa6dxMicIJnBX30EJBRYYVnyFXORwzGGxC7blFlVW4bq+pibwUmyOdsR5PqMtWkgusZ/2WGZqXCY9oVs6rIpVuk+015jMRONZ0IHsgktFjQ8elawgIdEouu83xYYa7Vygzds0hu6WDg4O23KLtVwjz3Kc5hPuT/dQmcKr5hW01TgtdHgKJVDJCgEBH7uPRBERRMWz1sIGmwoXAUL0lVBYlSuwwIh6Zw0GPYCBpYZTcpo0SkbTq0EPGNkIwQX6ucfT+IRSlQgsYLJ0aB7GAx76BypaRI11scY6X2OVrz4jmW7BqEZYR8+0UVQESk4o9lVxBZMbGGvSmLxWhIzHYtz6z1SYTGRgoEJXO43FEXXSaksosnfpvqmzOlFeWGBo8xZKKHS6Q/ABggkYRzTESU+QQmLxC4w2aR/ZT3sILnDX3oGBvj/naMK4ylbY1TsYT3tXN3ewwSYaz2xmOhtkmfaFSOFwzqWGMAT6TrXTaX8HQOCVd9RQTQc4OFRZhauKJmzWETgRG4Qmb1KBDxCoUGc1XHAYDe3v1tv057Hx2xY0JXgenqlg1PTsRyArTjats1BMgQuOKqtgAzXfTdYQdWI50+cE0W/AgMUumP2M83zGrt5h0AME6LwQXGAxC0pV4rScUMgCG2ywH/cQECgzagojjTUE2h/XxTpNpX3wGPWYwLAI3PVLj/NyxrfmW3zqPmHUI65X13joHwjcCERLcY6K9MEPBERxAhie+if0use23KI39Ls45/hq9xU+nD5AO41GNrRnXc5PzjhNAnSHEAIylhEtz0wosxK5zwl0CwrX1TVRNpcxnZHrYp0ajEiZzWWOdb6mM1lkuOE3iWrKOUejGjg4XItrVFmFx/GRGmjdIeMZAqMm0QYLzjiu5BUEBBhn1ABcAEnrLP758z/HbGc8DU+4bq9hHVEMBz1Qo24nrIoVJjNhMEOqxR6HRxSKplvd0kFC4gerH0B7jU53GMwA5hmO0xFlViaKseIKnNOUugoVnqfnRIEZ9Uggj7N4f3pPAEpRo5QlMp7h7ss7lKrE77z9nfhB/YN/Y0H+v4b1MxXkf+kv/SX8+q//Ov7IH/kjeHh4wJs3b/CH//Afxp/8k3/yZ37hWc/oGB1eq2xF4/bpjDqvMesZ1lm0ZYtu6XCez6krDoHQotN0IjXr0qHgBcqsxG1zi0pVeHSPMM5gpVa08cJhla1glMF+2mMjaPTX5ITIP3aPmCwh9IILQjc8IXqH6YCCF3Bw6E2PyRCfOI5Cnadm4qq6Amccq2JFFA87YVtsMSwD8d+YgOMO1lFh0WYtPKOCYdADnoYnGtdnK/S6T1zzTGSEcjGGm+YG9/09HoYHbMstJJc4zIfEieSMY52vUWUV9tMeUsjERYsITqSvZCIjxFdSs7LKVniaCG3udY8ma1DIIqH6taoJERAZFrHguByx6AVne0brWxq9waPNW+JdmgHwSPzxgIA2a8EZpyLGLYSSwCLjGSZHm6RzVBQUqsBiFvS6BxhQS+KqDmagjZoJ4qj6kA4yJYg/Pxva1DnnaXJy393T6DCrsOKrVLzZQA1bnMiUqsRVQagcOHEurbdp/FtlFXGqpyNmOyN4mpgMesA6p1Fkt3SJS89BBxJjNNFggQEBNO6UBSECgVDg2RF3dFfvMNkJtaQioV96GGdoUnDhs6+KFRWfIkc3dygVjWTX+Rrvu/fodU+j+OCTpoGDo8jomuaSOI+c0fRoNCPqnBqfszsToiUrQp4cfZ+H+ZDumdN8IsSUBbSyxbv1OyAAg6Ox5rbaUvO8DNQMe9J3lKpMjXA3d/h0/pQ2eW1oWqIkPZu1os+/K3bIsxyNbBL6zkCor2AiNb+ZpHt60AMUUwj8Io8JSE3tZCYacTpNaBonhGhX72CsweQmPAwPAKjxlVxicQtO8ymh4CYQDcUFKt59IDrQ7Gacl3MqDkpVgjlqzIwz9DxKgWN/JFTc9EkDE4utihOX3DKa3MTf3y89BjNgm29RyxqTmzBPM2ywOJkTwkIc2qZosAJpSGKzuZiFePDVLeqsxnE5ops7SEFjeCUU3qzeoJQlHKjozmVONDkzg0+0r9zUN8hVTo2Ld3ganzDYAcHT9Yv/vZQl2qxNDWtsjiLNYnITuOZobYs6q7HYBc/zM3ForYb1FlflFdEIrMaqWtHzhICc5+CSwIg4cfPeo5AFJJd4HB7pPpdFOmsY6J71wcM4A8aokImFXq3qxNcVnLjkIgisizWuqiscpgOEEMSXBoeDIxoV46lgqVRFSP8yJo5upSr0rse22lJjJ4rEu46Nrw+E0s9uTtqXJqOJ8HV9jdGOGPSAYEKaRE56Ir1JdZWmE0oojMsIoQT8yiPj9GeccaLDOU2TTU2Aj9QyTbsrVSUNUkAgNP/ynGmnYZwhSsR8IrqAv1B+IFHl1PDF4nt2M2Y3o85qvGpfQQmF24qApw/dhzRVjAVmlhEtEgBNFC7Ti8UsYIqBW47FL+l8KFUJGSQ2xQajpanaaMa0HzrvoKRCrvLE0beeGrzDdEjFueKKUNVLc7Cf9njoHyAYUSQWu6ASFQYz4Mvtl9iPewI3GDW5AHCaTkQrM2dsqg3t4WbGT84/wSbfpOnEeTnTd8qpqe11j1zmUJK0PqUiTnpdEPc5fo5JE/UvfvejHhEYAZEBdLZ0mvb+XBItOJc5VjnVEAwMxhn85PgTmiJKqpE25SY1yhwcIxtxV98hIGC0I30WLrBY0l/c1Dcwi0ln6Xk5U5NxYS3Eied5PmOyE+3n1tLZKOis0EGnfVgqSSyIuYfgAid7Sud+cAGbaoPZzgREgSYlLjiM00j3RrNAcPFZpycUZjujVkR3+tR/QjZnWBdrNHkD4wxu6hvs6h2W8rOeEQD+87/+n+M3/8lv4s//mT//M9ew/y7Wz1SQt22Lv/gX/yL+4l/8i/+LX3hVrKgokAUhWBfU4DSeqEPkOSpRkUjOOSDQv6nyiorEvAYWEgTkisQOtaoBACEEGG/wcHpALnLkWQ7maRPeFtuEDGyKTUIw4oZ+mk6pwI2oS+ABCoQiG2/gjU9j1mEZ4ODodRQJ7VjO0OkOz8NzQspOyykJTtaSxJTd0mE/7emhns/ITIan8QmtanHX3NGhLktop9PnKlSB+/4eDDTyZmD49vwttsUWr5pXWFUrSEZomwsuoUKLI4HTYhfiqAUagdYZfWeCCaw8jeCfRur4vafDolIV6rxGt3S0IWUVXjevMekJaiYO4XP/TDy3vE2bSWCETNWqxvX6Gkoq3B/usR/3SSA2mhELFgQeILggwaaQKGWJV+0rPA/PWPwC7zzxhOFo9BuWz987I+Qz8xkWuxCvL7i0CVayojEp51gsNQKM0+RCBRpjR5Tae48szzDpKVENcpljW2zh4bGfiAPLGU+bahxj37V3JKRbk9j1PJ8JXQwkLl4VKxJAFSRYiwXeF+svcFVdERp2KfKYZKmRisKm/UQH667YwThD6C4YyqzEoAfsih129Q7rco33x/f4+vw1RkuI0Ov6dXp2BBPI8xyzm5EhS02a845EmXrAXXOHbbEF5xz33T2899iUG5xGoltFNMVYEhTznlAyxRVNNAKNHSdDPFLrLR7HR6KflFt0U4fDcoBnPtGPLLPIWZ4oNgIiHSo7uYOBQcvbxA0floGuF8+oEM1WiT4wmQlmMeg83bNYCEHx8EnIa7z5zON1NtFjckGFYKTzRITbeJquzHbGuIzwzOPd+l0arc5uRhvo/fmaeMbx0BRcYF5m3I/36GwH5x3KjKZU1ls4RwWcDjo1hsYR+qWdRm/6JBLslg5gVGiOZkzN32xnbPkWZUGj49GORItggXQXbsL7/j39TqvhrMN5PoNxhjftG2Qqw2k6JTH6tthisoTYXVfXaLMWH/uPJE4zNBVggSXUXTgBLjkyTtc7ihuDD5/52xZoigaZzPBp+JSQWAQqJsBIHB730/Nyxnk5JzCGcw5tNV6tXiUaTxTBLZYEtKUsEx0k/n9xjzssByhOgvc6o/s0IKSJI8JlmpLR2RQQiObISSz80D2glnVC45UkitF1dY1BD7gP9xgsPfO97rEuaApQyhIfu48Y5gEZz3BVXyUx52hHVJJEkAGBihtN4rur8iq93yiCm92MTb5Br3t8c/gGShE1K1MZKllhU2xSMXNaTmkKJ4TAqEc0OYkgF7dAWZWawSh0FFxgrdZpzxzMQFOaZUhC21W+Io55RROOJiNBaC6JmnNb3yZ6S0BAqco0HUMg3YRkdMYOZoCGxtv2LSpZ4Sf+J1jMQjqBwGlynbXYlbt0Xzc5FYOLWehem49YLJ1xTdbgpr5Bm7fJhCEaHtw2twnBxcUPo8xKhCEk0W6lKhSiIF6619gPe0gm8TQ/YVeQsLrNWtp/gidwKzBoaJSiTAV0r3uijDKiZ0kv0c1dotAtboHMJVF/GNGVNvkGucixLbeJy/3N8RvSdlyuU6QTKkFn72xmvGpfEf0peKLMcoXFLbiqrjAbmvwCgPEGvekhIHDX3OF5fIb3HgbUYG3KDd2HLhBqvRCNUnABzknsyQOn6xoC7Xm8RavaJNDnnKiHiinMfMaqoHuk1zShV0yhkQ0qQZMTeKrtoljYegIjurnDdXlNIm1P1LJII3LGocorek+cJjLg1FyOZkxA12IW/PLNL+MHVz/AbGZcf3GN//bv/bcYhxFZleEHX/0AT7/69FMF+X/0f/qP8N/8P/6b/8U17s+zfqaC/Ldy5SrHrtmh133q+OLBZh25Vyx6QWBEVRg1FS+rggrO2C1741ORYb3FeTnjoX/Ax9NHnMwJr+pXwAIEQciNhMTT8ISszTCYIY2NrbY4uiMAYLADGkUPvGACj/0jfsfN78BNc4PFLrDM4jAcsJ/3xEtkEp3paLxyKaLftm+hnU70EsY+j3zjQZHJDEu/4H33HsaYpCSObitx47SORqye0cO/K3dYDKF2k50SkpgJ2pBLVUIpQkz24z6NQQEqPCJiqTzRbwQXWNxCCLKqUGUVTgtxSqPARHGF83LGpCe8lcStttJimxMF4sf7H+NHxx+hFCV25Y6oP1wgsICmINX9U/+Ebu5+SoG/uIU2NM8+F4uCBHSCf4eCkxMnNvJ1n8dnbMstCVjkZ8eANm+Rc0JHooOFCzS+jeO9yUypuVFS4Xl8Ju4zY/DwOE2nhFLVWZ242KUqoZhCLnIYa9IYblNucFVdkdBWk4r8VfsKBS9wUifknAoNBGBX7fB69To1R7fNLa7ra6KxcImc5Zgs8Tfj4ReFtYILvG5fJ0TdOot+IRrMVXmFKq9oVMwVvth+gbv2Dqf5hA+nD5jchOfhGU1OtAjFFDVCF16wYAKnmdxyCkmimOgiUKqSpkGjQ1M0qH0NG6iI7Aw5DzyMD2hVi7oibvmkqYCN/Ote0yEQKUA2WLpvRYlP/SeoUmF2M1ZYJb6iCeSk8FF/JNpIloNJaqz34x6fhk80EVJVokU5TxSv2c04mzPmhfQpN/VN4oo+DA9YF2sUgsRCT8MTqqyiP1MFhBcw1uB5fMampDGs5NQkrooVulNHwt8sw2E64KYmFyQeiDpRyhLnhRyRojg6cvCZYJiGCbOfUYMKOwCJxqSdxmKWhJorrnCcaWq1UiuizYQR1tJ9t87XKEWJ++4e5/mMu/YuaWkKUWAOM7gkJNRaog2cxhM1QSpL4kTrLLiiwy3yPytUiRteZzV60+MwHRLNIiK2ggkSGOZrnJczqrzCx/NHPPQP2NZbWGeJfwyREN9KVtBa49E+oszK1KAWokDO6bvqlx42WDwNTwiepjoK6qcK7fj9RfrJYhfSFcClIlNxlXjR2ut0P+eSnjXvPXGnL2L3SlVYZSsSoVudii7jDdq8TeP/OGWN7yGXOdqiBRZqlrJAbi+f+k+YzYzTcoKSCquwwkP3ABOIapCJDIf5AOccViVNjI03ECCAgnNOwE8gquSm3BDS70jfca2uqWm0E75dvk1uJC5QU6KEQp3V8Ia0Fef5nKg6zrvkigIQIh6nWZxxjMuIw3TAZCbctrckGFYlCk6Tz8UtaFWLXOTY5JukKcuzHItbcB7PeAyP5CLEPLnoWBJJ88AJ9Lm4c3DGqRFRBQwMNhlNsu+7e5p+XWihStA94AJNXHrdwwePQhXUTF/EmZ3uUMiCXFhCoKktQBQaZ4k6xiXc4rCrdrCDRSXobCrzEgAJyI/LEQUvIJXEq/oVgQAyQ297VFkFPeo0zV5nZAKwn/dErWUBJacivZs7fOg+0J4QJ2JZlSZI62INJVSiDYEBne7wNDxh9nPS9AAEYFpjk1NMnJDaQJz/jGeoAtEZlVAoc5paGUciyDzLITOJkz4hR46CE9c8F8T3PuszspBBB52eG4xkalEXNZqlwWk6pamAEgoZskSRSZS9oJPI9ifnnxCtShYknmbAsAykeeM0xYrFtwfVdRFsPc6kE7tpbrAu1vjJ4SdgjMCoRjXYsz1RSqs1WtWS0cdFG9UWLZxzGP0IJRS277a4E3fpfF//tjX+7j/8u/j49BG79Q7vfvgO//X/67/Gf/b7/7N/Z/Xvv2l9fwW5zFFmJRgn7mUuc+LEXUY8wRO3XEmVLKz24x4OLvGfK1V95g1eOtLTdML9QK4XN/VNEiA651DkBdkVwqRCOvIVF78g4xmJqRwhF7nMYWFRSBLq3NQ3OIwH3Hf32M97aEuODaOjh2dyE4k4mle4bW6xzbaoFHVxhSxgvEmF8WE6pE3ki9UXmNyESlQoVAHGGB7HRzDGsCt3GC3Z/eWSBG2VIlcOwUmJnLGMipVLRx0PISUUjv0Rs5pJTJJtYOSFo+vps6cpQAjEKwQJUZ13yLIMUpJrSTcTXcI4g4fhIVFp2rxFyUtclVc0IrwcalFce9vcksht7rD4BbWq8TQ9UcHMGHKeE0VHkMAw+IDr+hq5yDGbGYUqsCk2iWMYD5FI9dFeo1IVXjWvcJou9ovLHiwwfLX7KnH2Is/TiQsSeRFpHqcjRj1ila2oyABPqHObtwmljDQlD49SlJ/RSechM0KBIq2H4cIf5wyVoEIvUxkESJuQBJeqxqbcJHpAbAjifakEicdylWPQA6HsGaHsgQWMC1kbrrIVTQWcgwbROOKzAUaIqp1teo+NakhYeOG5BxBX/Hl6TqLG00JOGJmkgyMXJKRdND0rdU6TFT/T+91Um/QMtqYlWzkzEpeZCfjgsat2iVMYaVyTm9CZDq0iqpMAjYSfp2dopWn8bxyOyxEtiIN5p+4SgrXYJU23Rj0SensRI0/LBC44xmnEN+4brLM1lFS4a+6osAQSxQog9MgzorEwyaC1xvPwjCqr0khYMCp2dNAJ8Ypi1cEMZPlVbLDKV9SEW7J0jJqG1+o1VmqFyU8Y5oGcQUSJVblKhydjDA/dA57ME8qsxDpfgwWG2dHrjgu5SoHRlCty3Y2nYrvIiqQLmPSUDrd3q3f4eP5IDkWOCsHI+1eCGqJc5snyLjY52tGhHBu2TFKjfppPJNK73HOFKsgG1hAtJCLf1llIJnGcj4lWdFqI8lRJctq6qq6IYsE5Gn5BcP2S6F0AWSLGRjnS+iL6pp3GbGYc5yM5VdU3qXBb3IJxHmmCUGzRqCbRryJlRnHS3CyWeMqCC5oiBJeEodFSthBEkSxkkSgu0Q6wUhVMMHjun8E5h9dkwzuYAXVWo5IVrLX4ZvgGxhu8Wb0BZ2Qj96n7hMN8wNxQgeODh7WEwl9VV2kqG7+n/bAHZxyH+YBu7vDYP5J93cWeFAA+nD+glCVu6husCuKbL25B0AHX5XXiR8cC96Ym3nGvewLFLuL3bbmlgolRkRadWuIzKDhR7iTIGaSwBU3eAsNxPuLb87dpiiO5RD/1ZEBw0Xis8hW6ucPz/IxSlskKT3CRCqrjeIRSigTc4BDiQqvwpMnIZAbnXKIZRp3Tl5svaZrMGE7ziXQFLKSGJVd5eo6YJBrgaEZUqkoNWEDAVn62zOWMNA0AcGZE1bjNb9EUDVGELo2cthptQe5UXNC+zQJNPY/LEftlj+DoPRSChKnRyS2CO5xzBBtQ5EQxZGDwwVPTcZlaCy6SBa2SKhk5dOiwLtb0+pyQ78EOaZLgrAOXPBlEzHZOdETDSMPmFU3JPw2fMJ5G3Na3SUTNOEPpS5ync2pElFDYVTswTp+TcZqkCS+S9idRJ3mO6/I6gaO5pAmIsQRERRcu5x2avEGTN/ScXRoZ5xwYZ9jWWxLXzj0Zg0DhTfMGi1/orNECb9o3qFRFYM9lYgCQXe8PfvgDbN9uUQh6pv/j/+N/jP/q7/xX+B/+3/8Dvv7ma5z1GV//869x+HDAP/7v/vFvfUF8Wd9bQa44jVsqVYEHjo/uI4qsSF6ib9ZvcF1dJ07zZEkBbAyNyOMhn0kaF33sPpIKV0hCUy5cRx/IfmjQ5KfMOSE5nPHE2c1VjvNwxt36DgCScwQHHZZfXX+VboRdtcPT8JQegkgz2BQbNKqBh8fT+ITFL7gqruAKKrSi9Y/kEt3SJR5ZPKzb0OIwHnDqT2k8080dxmVM/sjR0zUP+U+N0vOCvElPywlqVHjdviahGJPEOy22iQ/b655ELPYMDo7eEPLW5i2arEG3dMn2btADalXDeYdP4ycaJUdHkQsiNZghHfCVIlsjAMhFTt6qkvjCD8sDBETyOY1i0DIj8Vd01NGeEMJ7fQ/GaPS5LtYw3uCb4zd4GB4wO7J/POszpCD6jVc+/e4kopUF8bYvDgYRVeOBp1G15DJRKmLjFIVAi11gvEnUkclOSdQY7TkNyB3AwWGVr5LtU2zWvPQJhVaKRI1lVkIPOo1UASTLvf24p/vdTMg0va+MZ2mU/DQ9gTGGbbHFptwkrr8LDt3SJSpL9Kod9IAyKyGFxKfxEx3qFzu480Se6rWqcTKnhMDNegYyUNFjZaJEjAsJWwUXtBEyBh00NVuXEfkSyG6uVCVRADyhqXVW4zAd8Dw+QzKJ/Uh2iYwx8MCxn/fpEI4OB7kk1G1bkMDSe6KbLGYhfYYZwBihZgCAANrML1aDRXYpIAqdkL7b+hZ1USNjGRVKy4C6qOlZnkm4lgsSl8aiMwrnoo2h4CLtQZFCYUE5BFLI9B1LLjG5KaFO8RrXeY3CF1BQ+DR8QpuRQDQrMmzyTXIVERPReyJ1658+/1OMCwnCFr3AFXSYxr3kOrtGpsjPWAqiYZ1wwn7ek6iaCXKBCLeY9YwlUAZAbN4j1YdLnkSFiqsknop2grOZkeVZoonE36sdNcdxstjmLTVIF//p+MxF//5SlqnJbfIGm5JyJiI14zgdcV1fAwBKSbSsjGdwioquw3wgfcEFzAkhoMkaco6ZyTcfIA79+/N7QnGLDTinvbhbuvQZjTfgllBzFz5bG0bXmviMGm+gpEpCeYBsCyNHfbF07a6rawx2wOP8CDDgbfsWg6EGrNNd2utO0ylZdC5+wTiOyHhGXuveUiEVPp9VYCRO7OaOmp5gMcwDobGcHFsqRWcoAnmgN1mTzlvOOVb5CsNCYEb07TeeaEzbcousoH+zWJpeZjIj4a4ZAUWN631/n4TXmchQ5RWarCEDAEXarNkRoNIG0g4dpyM1UHqBYgrXzTWs/Sy4dHCpSVoxeg7PmigueUb3aaMarHIqOuN+ELUB5/mcprjRMUgKifvhPuV9zGZOlMrRjInTHhuZwAiYOs9nOOvSNXaepttKEhKMi0GAcYasV2WJ4Mlycl4IzT4vZ6yyFXKeI5sy5IqoKBIEXGUiw2P/SM948yq5Cw3LAF7wxBM/L2ey+7tMY6ImxQaaPOWCqLIAMPsZ40T7OwCyT5RExT3rM1lncrJl1F5DKTrHIv3ltJzS3tvm1EgooTAsVEf0S4/jdMRhPNDEn9FEIDYAK7VKFpK97pEzmpTsxz3Oyxl3zR2uyiuyBr5MiK7qK4hZ0FReErI/uQlOkFe6tmSVvCk2ZNHIZaIVTm76qT1ISYVJT9QsSwFuOCY9oVENzvqcvNyjq9hiF1SKNF4ISPsxYwxf/eJX+OEv/hAMDP/y+V9CMYVv/8W3+E//z/9pqmN/3x/7ffjmn3yDv/v//Lu/JXXx91aQRzTVOptEezGEwTMa30ghiZvldOIYXTfXkEyiLVpCUC9IWaWqJIBgjEZpsRi33oIFhv28x5uWEIlu6eC9T0JN6yw+DZ/wqn6F19VraOjk3hFDYIw3yQJxna8TP3tbbZOyOwaE/OjpRziVJ/zw6ocUCiJkEoQKLrCrdgiORHGMMQzzQAFCF0soHzwO0wGP42MKCIoipGS9JUlMUSryGg+gDWE/7XFT3cAE8vmN4q742oUskkAybv6Ra+eCw7fHb5NQZHEL8VtFBVPQGNUH4nNXeZXEg9HMHwzEzYdLFleCCcAD4CCj/wsaZxwhkpyRLVhERBa7oMhIoCi4SFZ/VVbhoaeCvMqqJIAZzIBP3ScKmMkonEEJhdNySlSeaOkH4DPXDoSQVrKiTl+WiW8anRsWuySf1+N4xGQnOtQZh3BkN6kkiTVjGE/896tilWhEiyMHAe2J697kNCaOSFY84I/LEftxn3yilVTYL9QIrfgKR03vQS4SN81NQlStI3u003yC1z4JmCLazxjDJtvQgeHm5BTBGD1fYMB1SePIFGyyJgpF5Ex3tkMtyJNWW02fx2pYa+GEw+v1a3LrCFQwKUEb/2QnxGAaxogTLpmk9xgsifwuPu+LXcjNIiuxysjzu1Y11uUaiyGtQXyuS0kCUcVUCo2K4V3fPbhW+QqrfJXEmhnPUJU0JTlMFM7FPIODg8voED4tpzTdCqDDbXELGBh52TNy2VjsAqEE0SIu4Rid7gjtcjONf/05IbHRRjSizOtijZuGfh/nRB+RTMKXnizFLtOqOqdpyrN7pkLFnem7D5Z+T7kmd5/AEgWqUWQ3l9kMxhgMbEge6UtYcJ7PmDm5ZNShJjFnmePN6k06lOIUzXsPz6m57A35RBsYwOMzR1sI0kmAPkcnOwJJuESlKuKnXvbe03SCyQ1Nj3hGlmULUTxiEE4mMxL+qc/WrR4eucgTJ/ub5RsSP5oxIWwbvkE/9+RKFei6FYKoC7WqE6IrGU3lYmEZRf2RxlfIIgEFySLW0vd2VV0lV6aImh6mC42RK+RZDjuTS9BtTaFSp+WEx+4RjDNISc4q5+mcKG/d3EFJlZoWD5/Cn/qlT/aCve6pMWAXbrkny0bvPMA/CzEHS5SJsz4nAOq6vkZASEX2VXX1U/kD1ttk5RibzUjtiHRM7mkipC29Tlu02OZkf2e8SVMVbTS88+m8aTJCj8uqJApTEBCSmtvIM8fFMrjNKSxHMYW8ztO+kas8uZSVsiRzAMbp8ywDUfguwUArSeL94AOe52coptJ3ykDuX9GvnINjW2/JJcSR64sDCbWHZcBVfYVCFSkgMCLVT8MTVmqFdbmmGqL7hPfde3jnsck2ZAywnGCCwabYUBChmcAtTyL3UY946B9IpHj5bLOdcdvckjkB42kKGM+K5+E5UeGiy1mdk1btoX+AEgp39R0Fcnng0ZN+56g/u881GeW5xLAuMOBpeIJ2OtkWR8ptoxoSljLSJL1avUoccuOIymWDTbkAq2yFp+EpfZZX9Su8W7/DKl+hLch+WHia5PpAz7RkJPa0zMJJh4M+JADAgeiRfOSkt+DULGtDzny5zCEE/T4ODill4tlnPEsTh5M4YY11Ksq10ym0KJc5Kl+l4Dbn6frPZsZNc4NtsQVOP13H/gf/h/8A4fcF/If/1/8Q0kq4wUFlCn/6//anf766+Of6V78FS3uNipPIzIA8kaWVOJgD+Z46g8N4IB9SnsExh21GfEQhiVscQsB+2qdDbT/uIZjAVXWFD+cPJNC8hGCMeoTjNJ6LPrIODpxxXBdEkbjv7vHRf8QXmy8IORAFyryECQbDNKSkzJ+cfkJhNheaRwiEtJ6XM+BJdFNmZfL2RIbkFX7SJ3jncVPdYMGSLJ+MJcUwQN63AmTjuGjqtGtJVnuflk9JtOo8deYuOHzbfYt1RtSIx/4R3dxhU26SAl87DWVVQoHvmjtSLF9QkNnMGOyAD92H1KlaT17R9/09OVZ4QEiR7CZzSbZr2pNP+qogUV2/9MhDnizJAgKlI/qAYR4IjWK02Y+WqB3aadyVd6gKekBvqpvE29yPe3h4nOdzSgoTXCTErtdkNVVkBSpR4a65g/EGH84fiBcsi1TwZiJLB3L02m3zNqHhcbMOgTbq6FRzns8Y3YhtuU0UFiFoTGidRV3Sf15X1+kaGmcSTWWbbZMlYSz8v4uwRQQqFyRmHpYB+2mfUmVnN8MEsg3LbY7AKeTJFCb5lc+WnBqiA5DgxJmONlnNiiYgklGhzQNPNI02pwJsscQrn9xnuyzrqGiOXsMIoEYKPDU8kXce03Hj57KOnoEiK4h3eqHlxMnKeTmnaxn9eBe9YFUSNcA6C6bod67zNYqMQozO8xmrcpU+c2zYFrskb3DGGUpeJneVQhYAJ+Q1efcHm0RiScx1SYGMzWRMXTXOJFrDttpS0JJbsMpXNFLXRwDAVXlFjjUhwBqaIsUD52l4wmQnCCtSTkApaEqEi9VolRGNY3JEJZCCCtqvNl9BBIH35/foli458mzzLVFYBNJ9FfUVoxnRz/R8uIGoORnLSFhYXBHNbnxO+QWbYoNXzatEo5rsRMJyRt9Boxoc2AGd68gZgRHVQ0kFG2iqdFPe4MiPhPyXEp+6TwAn1xrPKATldfMaX+6+pDTajCxpnx0Jw1fqUtRLOh/avE2c71gQzY6CuGpVp6I/0tkkk9hVO3KaYhLbcotZzsnj+rtJlzEhNSLFmciSniZSy+IEbXGUInuaTpgdIcGjIUS7tz3tF0wm673TTOFTcZoqmMCHkSgkdVZTmqo+YpWvks1bLFB63WOVraCDJgvfi8tM8MStn+0MnlFhbBztkdG55Vv7LTmN8Jwmzo7sOHOZwxY2pRgz/lnUD9BEeHFLSnk+TkcCiQxlKtzWt4nC8an7hN73GBfypO4M7SuCCQwL0Q+sI2pHqUqsq3XSTc1mpmvLCAFewoKCE0ofG9O6qNHPPZQimpDxBkFT8Fad1bjv78leEFSMG0uC61yS/ug4HeG9T4JXbTQ007gqr9AvPXr2uanxwYOBJReZxS3IOQFEsShdF2vae79TyFlP1qGLJ7vH6/oazjt8c/oG63KNV+0rHOYDBAQ2+QYANR6DGWgaUW8pVdUe8Wn4RL77GQXzHaZDmghM+UT2jxfA4TSdMFoSlUcDhMESkGmcSR7vk51w1mcKrnMztNFJMNlkNAWIoAYLjETgwdFzyyi8SUnyMC8z2kedd1jCguuKPuvD8ADByfGszmu8ql8RrViV+GL9BTXvc0eNn5Tk876Qu0olySwiAiDW2QRetHkLNSv8+PhjlIpE5fDErOg0WYbWWU20oFFjWS4hb5f7xzkHSGBaKL9kMANmTQDSYhbs6h01ZCGkULyr6oosPudz0huEEHBVUjPmg8cv/fZfwn/5t/5LLNOCrMxw+8UtjtMRb5o3dN6oEofj4eeui7+3gnydkT1ftG0znkI/BjskAQtjLEU7x7H7cSbLsMUQ4iiYAF/IkSFatcWNM1IYpJBYVZ/9uCGIAlLwAiaYhIaXWQnOeYqHBgfROybyRl/0gk/TJ5wnsmXi4Liq6QFa/JJ8ZyPnbjJTimNfzIK2bDEuY+JXG0c2jAg0MouuDBkjD+koWohIvhSkFD+Mh2T1ByCpxgXEZxrJxRWCM46n/ikhbNFqK46oSlUSqhp8Ep3yLUc/9/hw/gDjDRWXxiQet/UWX+GrJIwBB0pepvCfxS3QWmPJFqIaBI9CFDjbMyHIFzqQ845EI9NEHFpo2MmmmN/oHwxG4TgACXKO8xG5JTrS4kjEddPcQHv92RKQMbw/vcdT/4Qvt1+iUlVS9HPGkXM63KOVY/T7jl7sHsQlFhB4HB7J09ubJJBb7EIJbzyH5x77gRpDwYhLGRvGwMmNxHGHUY8p9GhTbhIPzzhD99l8Tpttb3o44yAVUXKqrEob49mf0Wmip3Rzl8KSClVgW26JR+s9eVtnTbL/4owTpciTnWP0h21kk3xoD8shiddiIRknOt57KigvYTCR//k0PpGjwkVoLZhIVJLgKNjJBouyJi/+Wc+fg5su1AgeOKYw4ba4hcsdrgryTy5VmXi8m3oDFhjpQC4NaaMaGGFIk+F8Qmsll9hkGzoQL3Z2oybaSq3IXiza3UWbzkxmACN6RJM1eBgeyGubheTpHlP9jKPQldviFtpp7M0es5nxdvU2XVuAqEv34z3UpGhczSgdUluND+cPKQq6yigxUXsN5chf3wabqHqRYhDvrVftqyRKHd0It9BEKibLRssyxlji+/5k/xMMdoBQAtfZNdYleZm/qd9gW2+TVibx5blIVKltRo1ob0hUt8pXMNYQz1xkZPFnyNlgv1BxyDk5rqzyVQohcs6hVjVerV7hpr4h9B0euctT/sQoyNM8WpjGsf26WMM4g+N8xEP3QA4uJTX70amnyqixiwhondfkeOJ7PI6PmPIJ22qbLNxidsO6IOcrAGmyFLn3zjt0uvuc/Mlpgvk8PqfrU8gCdVnjMTwmW0XG2edgLEt7XZURpQeBQCkWGB6HR7xp36To8m7p6PkIltxGZEF+7W6BZz7pmnrdp70/TiUEJ+FsxjPYYOGZJ6tIRnaT+3GPbbVNAjoGRs1apGNZgWf7THqE+YRSlDj5U6KwKKGSgcJiF1zX17hpbuj6X6w5FafwrNnMyYnmlXtF99slMyP67yuuoBe6r0tRJurKYTigUlWy5TTO4K69Q1tQTkipShzGA5Sk5NKjO8J4g125o9CmrKAcEU/JttrTvr7O15RKLWlyqb3GdXON43CEA+3R62KNqqIUzbvqLqVXrooVoawXx7S4B5SyxGQnTB3RJ+6aO3DOcZyPqESVMgtmO+MwHohyw1SKnW8ycohijCXXlMUt2M/kNlRJss+UnkC/x+GRgCzPoDJ6b7nM6b1d9nVjDbnA2YHCqC5mCGBAmZOIuhRl+swxYOuL1RdwweG6Jvqb4vT7j/ORLG6LFspR8xoNGayn6Wy0Jh410dt2JfHIb5tbCoJcCF0f9ZjCqc76TLkKxRpP5ilRSnKZo3AUFMgFpyLbu9QwGk10l1W+wqv2FekOL8BodCoyhqiLUbsQvc5tsMnoQTCR6DkAGRoUTZHCGCPNORd5eu+//Dt+GcwzjI50ULtqh/N8xsfuI/naRwrlz7G+t4IcjBLzetcnHtQwE09IBBqttIqiUgXIorDOarKhEzmu2ityYbl0nPtlj3EecVYUpKC9TgEYoxmxLWgTioES71bvAJCX6OCG5MvsvcfzTIIc4w2888hURtHjgYQFZUYihkEPMINBqyiCOjASj8YmAiDvai4IebAjiZyineC6IN/qb87fpBt/djTGDIy4bZxxnKczuatUO8AhCVGi84BzDitFosTRkhAk8osP0wHfdN9ACIFf3P0iGtnAwKCf6aap85poK8UG2mm0WZsU4U/jE1hg6ExHoqesxFquMWpybzktJ6zKFRRUEpA962cYR+O55/GZLLfyFsILZDbDqljRZu0pEa7ghKzGkWekI2hHyVtRrBKDFGL3voCS6h76hxTSkzHiyS5uAeccr1evia96EUJF9CQGDUR0FaACDvLi1sBsahKjY8MwU4CSNhqBBRhjwMUlge+ykS5+wfP0TLQaMwOc6DsCAg4kUJFcQklS0kfv3P20x1mf8Wn8RMFVnmK0B08j5I/dR7xp3lCBZDyep2ei0pSbdG+BkdgueuNHZTwLhEoZb3BT3aRgpUwRyqO4wuhGzMNMVIlLcJV1lgquKkv0pXjfck52Yy4QGtlkDW3qoobMZSqKtgX5xwpNvH1jycLvsBywmCV54VtvUfISX26+JITtoi941bxKIpzZzkk4hACikQVqnDKR4d3qXdJH5JIKEClJrPzYP2JxC41Q7ZgO5WiryBhxp3flDoUo0sg9okDRO3ixRH0oVUnC3oyhyAriU3qHq4os06LHtXYa33TfkDg0PJOzBOfIfIbJT2kyFIPGBGh8Hy07zzNxPhkjm8/H/pEixi9uDGVGojklyM/YCovX7WsASJoJAIlmxgXHVhIq15sex+WIN+0brCpydkrPwWXFzx6TewtZoFEN6k1NhbMdk7g8FiaCC+J1cxLGRXHwJtvAMYcgAyXuZiSMrLIKn7pPWPyCm+oGj/0jzss50YLO+oxpmhI1JxZn1luirV0E+5MnWlR0fDhMhwRMRPu2qHs5jId0T3PGU1qw5KSXGPSQ6CE+EAXpPJ9p37hQxGKKoumJe/2qeZUoi1FspoTCOl+nEKUUVOWB43IkSmGxxqbc0DULJEC9rslW77SQaHZb0nMUKQoxat05l2xsXaAU4Mjjl0Km5j76yleS/jzaRUpObkeKqTRt1U4n3/JIzcgFFUhJT6BHdKZDoxpCGkWW9FyjIfrF4mlPKmSBxS/41H/CYAa8W71Dk9N+EfesHd+hUQ0Yp71w0jS5jNdnsQTsbEsSVQYElLpEVVRgnq7F4/CI00B2tNHO+DQTqi+lhFkIUIoe2hyU+u2sS05Zq2IFCYnR06TyTfsmCYpP8wkfu490X11oTqflRM2Z88mrfdQjckWTYw6Om/om2Vtab7Ef99hVOxJ6ep9og01BcfD90gOCisDJTFRvyBJupkyA/bjHaMfPDVVMAl46AETPyngGlSly0wE1RBYEfqzKFe7qOwJbMvIsP89ntKrFTXOD0NIEJk6GosnDZKakDSl4kc5S511qxHrd46wpM2ZbbknfBcA7nxqZGMI1W6KC5CEnO0ueJ21HtF1VXOEHux9QgNLcEbUqEFWlUDTBUkrhB5sfwMOjn3uMdsRj/4hMZOCB42RJT7Krd9hVO8x6TlayXd/hbfs2aSy+uzKZpWcy2n8CpKu6H+5pn3aOTDayipo1MxIVzxr8vOt7K8idJ1Qqdj0hUAGasSxxyidH3O5cULF8GA+QjA78WtZEB2HkI2q9xbhQhxgLQh88BntJZJRZSuH82H8k4QQnIWREkqIjgPc+cVK35ZY2HOFTwRJXp7uU5BYFeo47nJYTjfiqWyhF/GKpZIp7rSWlrrlAqXvd0uFjT4mDiiuYYMACS/zKwQw00jlYcm+ptuQMUpK/rfEG3dKleOq3q7fJUjCAPNt54DiNJxrVBYNCkmL7uX/Gqlwl/9IYzhMDTp66p/QdcsZRlzWyMksca20ouCP6lgsm4JlPh0vc+H3wiZf248OPMS4Ulc0cgxce+5nGy1Hh3i99EkoCVKQ6RyPkdbWGCAIPIE5wjPfOBSF7x+lIiuyigePUREVhZkRQASS0ZrZz4pgZfxHLXPjjSig68N2E++4eoxvBOUcrW7xevSbu/QUViJuFcQZS0igxintssLipKFI7eKJaLXYhHvhF4S6DJP4iR0LRLGyibUkpYQ01mJnIElUlqsYjZzraYA7LAMfc5820EUm4E1GkWtUQWiS0I2PUfHJOLgbR6s97j8fhMd3n2mocZhrNCSuQ8Yyssi4bWZORn3y3dEko+zQ8UaPikZ73SlH4BhhQ8Qrrao1RjfQdcE4ZAExhskStGOyA64o4w5mkSO1NsfmsebBL4tvG5iHyuhln2OWE2nQzNZmbcoM2ayml0U44LkesQJHisdCI98nz8Jy+p+hmFKcXAJJdl2LUcJ2mE84z2QAWghrPkzkhsIB37TvE+PS71V3iMcfgJ+01ttX2s+DYclxVV3geybrypr6hiZUh3/03qzfoZwqQAqNrcjaEGh3nI56nZxKTigI6aAQbwCQ9D4fxkLzxv/t8RDFyFCxOjtJGIzKf6Qw5pxjx4AmVikmNwghsqy2arMHH7mMKAVNCkdgykDVgTK99Vb7CrtwRXcpMGC05H63UCkd3RL/0Sbi2uAVCkj1jjJcveJGcPmKqKQBMYUrTtXWxTmmtz+Mz6qxOAV3Rh3yxC57HZ3zoPpDXtBnwMDzQc3IJmalVTdPKQKmmkRJZZRUa1eDj8pHSD1kGqSSmccKPuh+RqxQjZP5pfMI23+LL7Zfk+3yhmcUpVxQq3jV3KSmTc54MAgSjdErOONEVLn/fBpv2y3hvrIs15X7wHFzQnhH3KQDoLPnaZz5LTU8tayxhwbSQS09E0Cc9JX1FprJkSxv32BBIY5CLHIf5QJNeEP97XayBALxavUr7oPEG62yNq+aK9k0uofPP6dguOFSywrpcA0DalyP11ARKbpVcgoHh4fxAgvpLBsZoR/CJ4zSdUlhWnIhe1VfYz3tMC1HqNvmGwItLOmTUjj0NT3gcH/E8PKPTHWlUmEzPv5QSzroE3jhH05pZz+QMI+ns9N5ToyfIRWvQQ7IaBPDZ1YfR/mkdUf7uVnfw8PigP0BKia82XxFdBjbZM49mRCUI8Y8ai1jXaKcBAzRNg27qcOInbKpNstS9aW+SDqxSVFxOekpp1tFla7FLmqSdl3NKzDbOJGF0AOWJnOZTokA+m2d87D4miljM48gENRLfnr6l801JctwTOZxwKWDqqryiRNyMnrcYWHiaiZtfMprKbsoNlKaJiXPUoI6GaKYR6MplDlik74gzovcYYRK17LsrTunncU502evimowlLu58x4lYG+/W78imtjr+rOVwWt8fh9xpXGVX5C+ue3j4RNSPnOOMkfDEOkvokJTY5ltCNTzxO00gUQ0HTwb+RV6kSPhdtcNVeYXRUufaSOJOaU9igONMSn4F4kDmkmz4alWTzVW+wvPwTAEQJcXcL25Bo5pkR3ZYqDCJcbr33T05Q6yrz8KYiyuFEEQdaDKy9uKM47a5TfQWFojDfF1dp3F6xSqsszXe9+9RzRVum1tkRUa0iouBvvdEm1hVq2RhFTe82ADEQuU8nxM9RXCRhLPaaVKKe+KaDQvxmtdqDQOTgjxWaoWTpg2uNyTqBCf7IA5ysblurokDlzVJ8Bo9jZuc0BBjTQquiVzVuqoTjzMGxETKzvvuPUYzYrNsUOUV0TVUkbh7sanIJHGIbSDnlDit+FfDQiSXSWwXvXZLVWLR9Np1Rrz983wm3uXFczmOwvcjIdsxUtsFh8N4oNe8pIQeB+J/bvINXeMwJnThcXyEsYbU5oE4p5OfcF1eJ+rBh/MHOFBD8NA9QEiR/Ma7hQ6HNmvJ83c+Q0qZuPyKq5RAO2kap8ZD7svNl3ganih0pdyQwGw5J7RotjPgQIWuyGGZTcKqOObLRU70rGqbFOqRoxuFtI1q4KT7bPWY1/Re9ZmuAyNE1XqL5/kZS1iwq3ZEaXIOM+aEbMYwkkaRk0bpSpSSBM3RurPOaip8L2PlTGTYFtsUfx49/rf5FpuanCxismYhi/S5Ij8x+JDs7QpZ4DiT4JUxlg5SB5coUcabFN6BgNSwlXmZCs7ZzgltjU5GglPewbDQIbgrd+TSYqgRMY6abs9oYhcLsig2LEWJkFOzxcHhcw/vSORpg0UpSuhAqBc8UFUkKK5ysgWNKGRE1QGk6UGcUjHNEgUvCg8ZZ8TNDISgT3aCcHSo9UuPQhXYlTtMGRXG/dInu8TRUrDaXXOHTbWhNEFV4k37Bt1MReKu2qFQBaaFEHDOKFjrNJ8I4bwEyrGC4UpeUUCMI+vCGCcfp3/R6apSFcXLXwqnSlU46zNGTS5CLjjSE7GPyHmO5/EZLqd7sFRlom9ILrErdngID4m7rx25KzlHVD7jDIaZCgTrLGZOEzmlFMCB/bDHptxg8QteZa+wylfQ7hJKJfKkf6kUXZtOd9TUVBu8P7+n+1IUqbDQlhIRNTSqnOww37RvEs1qtnMSQQtGrldN1pCWwhDyGptY70kkWqoyIf4zIx1OFNvP05zO81W+Iu94bzEv9F0sbkFwgbQnGnBHCo55t34HyciW1QST3IyiJsU4k8JxANJlBUNFWNQVsMCwt+TOdNPcoFQlfnL8SbI03RQbcrCZewx2QO5y5Os8aY9ykeN18xqPeCTArmhJ3HmZ7HWaQK7oIhW5ybOlYKbZzDgsh+SAdhyPRIvZrJF7otV2tsNGXNywBE0LIsUl7qWrakU+6XaAtXStt+U2Fdre++QW9q59hzIrMekJx/lIwmNL98rJnBKNUgmFwQw0jbokMi+WROijH7ENWyx+ISHkRUfx3esouUTpygSMxUl3pSi9edQjPo2f6DsaDuhMhzqvqa7xAf/s+Z+RZicAz8Mznbc5ub7ZYLEuKLNgmAk0KlWJDd9AKIH9vEerWmij0YueHK2UQKvaJEA2gSbUBSvAwVOjHQMiT/6UwNzr8hqcU+p6BLOitWl/7hOlKGaNxHMg2WkvPfbjHpMjWjAXnBK3GaA1GU7sqh2EF6QdqF/93HXx91aQR1QiiodykaN3PYQgv8jIMysFKa8LTmEB0eLNe/Lwlo4OLWddQkVjHO06/xx9HQIdINEirNf95+AcXqLIizRufteSq8nH80caVbsl+SZLKeGdTzxwAYHBEE/r5E7Isxy7fAcXKFoa+DwGjodvndXJZaHwZMhvrMHD+IB+7lEUNI6JQQBt1pK7Q3VDqKUqsSk3eBwf8fXhaxznI238ZkBuKLSGSZbGPlFot7gFdrEJHTmMB5hgkv1i8AEPA1FAhmUgPnWwn9XzLEtI+OIWzMuMIAJW2Qp35V1yGFGCCkGZETI+mSlxu+JGuMpXyQop8b4Dw+xnKJCQRw8aj9MjGtsQb1zk2FU7jJqCgaLYdTJTsm2MI03BBJ6GJ9xUN+hNj3mcU3pYoYo0Eo2e04UsaJwcaKwZk/kiwmCDxXV9jafhiZC9hQRH+46awNVmhW9P3+K0nBLtYd/vSfyVNdBW42l8Iv/aikSanHGiNFiN++4ez9MzMp5hMUuajpSixFmfiSNZGLwp3qCWNXhG1/B5It/eXOY4TIdUjMfU08h3XZfrpNZfF+skmI1j1tgwaUPFwLpcJ+QuUSouQt6AgKfhiZxZGkooHPWYHGtMMLg/3+OqIZGMCw7P4zOex2fcVDdYZ2v0qsdhPmAIAwpekHe2IwqMhEyC2VGPMMHgqrpK4pwmI05oP/XUYAVqFHrdp+9XcIFOENWgzklwK4RIYu06qxMSNOoRQVExXwjiRk56SpkHETWJycKLXVKiHGPEVV4VK0q4XXoqBmdyuIi2bK1q4eHTvtfrPjknRCRJCZWCQeIKIBpEIYhO57WHsw5P4QmlIS6otRZzPsM7n9KAASpivKemYltvEzc1lzmhlaBC/uzOuB/uU/DWdxvX7zoURR/r43LEoklMXWbkmDFZ4id777FrdlTcX+hINhBtTHBBugIWcFsT9/7N+g2anNDA43zEdUXJfNt6C2114hC/3rwmB4yLj3UpSe8TQsAYxuSVbj0d9pWqkssKQDSgEAJO0wmMMxKY2wGzmZM/NWc8hVgpoQiJdRTxbp3FFa6SP/m6XKeI+VKQi1HUOr3L3qEcSjyPzzjpE+2dF5Ah5zkBFhcnnMN0wGk5UdF80WuMmugzcc+MWRs20N69K3cpLMrBkTtSqFGrGt9230Iyibft2yTSvarIL/u7BZpbiDIXUcFOd4nrH6fE0a50NBTmJDylNN8P9xT6lZFlMWMMh+mA83LGh/MHakouz+Wm3JCg0pMjy9mTjWEmMlxX10nfEoXgUVOjuEre1NZb8MDJZQMcb9dvybmLI+msZjPjPNPvjiL5TGZJX1apihp/R8iyD56mCQG4qslpJtYLjDG6dtMpubXFadTsKHBpMWTIwDjZtnrn4ZlPVpZNQW4jtarpzy1NvDacmsOYcDy5CXN3AS6cw011g+vmOolf1xlpGzw83q3ekY89LCW4CgoN6+YOJ3+C4GRoUWRF2ncyTlM+E8iuNYCE5sf5iLZoUQra32LMfdRhBRuSVaLz1ETFvTFeqzqne4NLjp3cgUue+OqKKXw8f0TwZBAgGAEaUSMRpwMODpt8k4wEYElP15kOvenxND/hrrrDptxgV+2ShuwwHfCufZcsFpNbih6pVuNkprCoJelZAkLScEhOORmDGbAqacLfLR2yLEMlqhQIGClrJ037w+KX5K4WdXcxM6RWNaUv55+F0j/r+v445N9Z8aGMI/pGNWCezOQj+pUrEi0IRiIIxi7iLmsogfFit7TO1+AVx3E5Ji/M0RKHfFxoo+Oco196vD+9R57lOE5HMEMb66bekBDoYtPGNan9T4Y2cu+pk4zjQR44rptrrNUanemoGCw+H2qPwyMlcOYraK9RqCJZDAJI4phMZnjdvsYnfIK1FgdH4o9dsUtCmlWxStZxgQVMmg6gyCOP8cCSy8QZ9IEsjrTXKRp9Xa6J73gJDnp/fI+r5ops86YT9m5P3DSeYRu2CDwg9/T7nudneEc8Y56Rn3i0k9uWW+yqHTkdQCYkwsPTZm8mEvOoKsUKr4t14p8WioKbJk1/L+fEozWMEOi367eICX7H5yNKTgdh8JTm2uZt4lM+9A8panyxSxKWxtjh6BkcUcEQqACJaZ6x8LTWYjaf0fI2bwmBYUDNa1zVV0nguTiiS6iSUKfBDDj2R2hLFm4uOGyqTYrsPk0nPE8UXdwtXbIVCwjYj/vkP/8F/yL5WeeCxKgx0Syq5nflLqXORkFp9EeuVZ2cAeI9MlkqNABAG40lLJCQyDMqGGK662E64L6/p/v1Yk8WY+abrElj79hkWm+RhQwSZFnaL1TcxP/UTqN3PZqCnuH9vIcLJPRbGPHSZzfjbf2WEDkzY1ftcF1dJxvFWKQ40ERCW50sE6u8SrqANmuTaO+EU0JsVKbSBi0FCXf345746t4nGkWjGkI+Lo1IDOTYltsk/PXeJ63DtiD6WZy8VZIsGz08dKBGJ4IQ8f1GPq3iFP6Sc/JvjoVILPojgnmcj9iWW9SiTk5BnemwxpquGyNeueACa7lO07AojpzNjFpQk5TLnKhBlzAs4yl7IKK8kR4BIDkURVR/PxKyKyCSP390Atn4DX3HjCfbQBMMhCcaS3ImymrS9lye+1g8xwh7AMmVqM5rSgW82Ku64DAv9JliKJYL5Jq1yTcoVJFcRyItbT/tAVABppiCnUircuxJBP26fU3uNpqmdT54wJM1KhekzXCOYs5jgMhoqBGNOQXRA7xQBf3IAqpROE5HQlaLTQqiiY1Rt3RJHMsZTzTJxV1Cby57mmCUICuUQD/3uKlu6DryHOuKbPcYY2RCcLHUi42RdpqEnhcKRgzuEpzcvCJdpJRkwzeaEW+KN0kfcwxEvThOR0hQs3BdXEMIuia97tFN3U81EFJS0q8DNfRxqh18oEn2ZfIUwbeH4QGH6ZCsHhljdI6GgJM+JS/7KEYNIaDNWoxmxNP4hOfpGauMnJdS3cBzspjU9B5dcOhBEe6RthKLVuDigrIMlDQcDE24NU1/SlWidjX2wz5NGqqiIuE4E7CGBN8xpyGGLplg0oSyzVsc9TElmzaMQqo+DB9ojxGMJtTaJopNFOQrSbqRqH3ywSfLQMcpLK8UBAYwztCqlrI6OOkXvuvcFHVVi19gZmIZCE72xLGhiUnL0c541CPmmfR+RUYWwoUs8OX6S7RZi4fhAV3oMOkJ+2GPp/kJggtcV9cpuOqqoeZQO41CFGCKfc5p4ZSaXaiCXOz85VrYCXfyLulH+oXAjJg1El1yYigYPBJFDoEABAC4rW4pTA0spaF672nSIAjohQfmQAFjTdaQwYS9aEIUJZ4aa5IPvrGkx4ohfAASzfbnqoV/7n/5W7DiKDrG8TZZg/NyTiEIDAyFKpKPuHUWOuiEjFhnkz1aN3d4GMkVYVWtMLsZjzONompVp+CUWtVEd1g6QpT0hIUvkF4iL/IkgIpdz6ok4d1g6SFtiiY5LkQf6egBms20qT5NT3Bw2BZbihFWNCaL3r6VIjHSoAcc52NCte6qO0og4xfU3S5woOkBOKCCIs68KvHN8Rv0useb9Rtoq/HIHwEgRcS7xSVvZA1NvtOSfD6jg0A8TKLPdCUraKMxB4r/XvyCIGjE3hQNpfwtE4q8wFZtE+/Oc5/CPHbVjkSYnDjQcRoRaSIRLY8IRvRFjp1ujNb9yeEnOC9notMEjXerd8nhQAkKP3LOYV2uob3GRm0SCgOQ13RbXhDbi78rgBSOZJyBh08j/k53KGX5Ga3kKv0uB4ccJGqKCYnbckvXnGX4+vR1UnmvihWNjJ3GrtjR/WwoNnxbEZfNeUcjcj+SSJnnWJUrCsngSGhCCOS53VZtQpXavE3NgxKUOhnRWiXIJssFCr6I/s+CE0c8FVuXe+95opCeSC3ywSfxbkS9q7xCw0lwNLsZD/1DmlRUosLZEGUnE+Sm0eses56RqSxthtqSkNM5h5kTGpTl5J3LON2L3dIRBUNWCeWoQMm163ydqB65yElAtPSEZnpCNs7mjHW2JlpICCTiuwRWRF5s9P0f9EBUj0BOIoshe8vFX6ZIzuK2uIUUVFD0uk+Nr3Ek4ovUlE53GJaBnDQuOQrakljWgtDaeKDNZk6Ha6kobXiVr1I0/WxnbKoNRjPivBCFgoOngz2XOXJOz8mKrdL9eVfdpfcWA3kehgfyxRdUoH0aP6GSZPGpg4awgj7zsmBdrrGtyIOZgUAQBpb4k/G5WSzxJY0zuK1viUfpCUy4Lq/JAo0Rf7SUZZoCCibwxeoLilnPWjR5g1nPeBge0C/kHrUttokWFL3XXXCfkfCRAoSuqiuMZkwpjJkgyzsu6BmOKFUu8sS/r7IqNUAAxaFHG8zYdGcyo6mkpz131oSEZpwyA2ZDVraH6ZAayEIW8CA6mgtE6Tgv50SViqm4xhl0vEv3XAzigSHB7ev2NbigSVat6pSYXPgCn/pP+HD+QDQ1S8im81RMbMqLTuoyGY1pxE3eYHJTohxFK1Qb6N9rQ4LlePZ2S0dc60uzGBCSC1KcCsVz1nuPdbUGPJKzE2bi5xeqwLAfUiopBwV+lbLEVXWFT/0nsv6cn3A1XqWU4kEPCRUXTKSwne9mR9RZTc+8JEvJD90HaoqEwKTJorVSFcCAm+YmedtLIWGMwdmcIbTAulinYtU4Q89kJtJ0Jf4cl2MKNSsU0XiiPkZwgcNM08it3EKA/reHx1qs0zkSBCGy/UTn30mfMNkJ65ImOLFByUSGu/qOJjKa9D6VrBK9Kk5KotOHdhofu4/41H+iCbal97zO1pjDjA/DBwgvcNfe4al/ojNVEWp+mA+w2qZE1vvzPeq8TudaIYiOcl7IWW6yZHcb96zTckKrWryqXyHnBAQKQfSlqNt5Oj7hcXokQwGRJVMD46npk0zCCTJP8NYDAuQ4w2kCM9sZx+mIyU94t3mHRjVpuu5B08ZNtUlId5xaxmlPpE3mijIJ9hNlA5yXMwnyZUmGFWBpKp7LHN56cve5gDqSSUqm1ksSz0Y7YW0paTu6smlLtQsHT1TGn2d9bwX5eTlDS53GAnHDi+mO0bbvNJ0Sp8zDo8orTMuEwAjhjWb1s6NR5vP8DAdCFd6s38A5l9L7SlmCC3ItabMWxfaz12zkWRln8PH0kSK62zusshWOI3nFLnYhsUIg9D7jlL7V5m0ah0ghsQ5rGEtdZ/QQjiP/KMLUi6ZgD//ZPQASqEyV0jW7pUto8SpfJbN/BGCyUwqk8MHjVfsKr9vXuO/vSYF/6fbKnGwNHRy2aptsEaODSyGI96m9xtPwRFxhz3BVXoFzsht7GB7wNDwl/mLks9WKEK44wgbI9zMTGaaFxlSRLx/dMSL9x1iykFNMgQmGQQ/o5z4lv82GUA7FFYIPlB4JakYKUSTvcASyqds1xDv28HDOYb/ssc23yQ4tTixiE7hYig6OrhwIwGjGRHkZLdGe4vuMDj2TmxLKrDiN344jhS0EFmCsQaEKZIbQRMUU9noPKSSGeUBbkr0SAmAN/d5SlnSIZxkFZlxQXSlJH6CMwnV9jbv6DkKIVLCEEBKlK/rHFhn9vsgDjAeMdpp8xGFw31EKaimII5iXdPgCSNabsyZK1tvV2zTN6XWfbDNjJPtiloR8T5oOC+MNnsYnVKoiD9n6mnzkPTkNDG5AUHTAREusiU34cv0lFKP0yufhGYMcUIjPyamxIROcEiyfhifc9/f0bF2QuvNyxm1zm9IgvSeniKYgWkTk53a6Axc8Jfq1ZYt1Ro4YV8UVIfgX1Dg6DThNhRBARZW2+qes57qlI+3BhRMeUx4jTURwkUblFafiOLr/RCpGnZEVo3UWD90D+e3KOiFDdUEC7afhCbOb8bp5nUCLOFWJ4Vk+eBKoZhVCF/B+eI+vrr/CJqe0SmNJaBfTA2NCX0TFGViy14v3Wxxpc/DUyEkuYZTB7GZy4Jg7eo1LKmWTNyTWvlAxEJBCPEYzYuNJExKvYynKpClZFSscRrLQi5aive4pETJr0BsKginxmaLYLR2qhizz9tM+JTJGt6bZzRRichEetzlpMGLYTQxpY4GBFzw51HRTh7M+Yz/tyWq1vsHt6jaJiWPYTnQr8YEoSotZAA+s8zUJan1IyHAuCQQ6TkeUssQtv4UPPmkiOOepAZFc0j5yaZYZSJMUAYAYGMczjprVeNW+SkYCcaLKA7mQ2GBxGA5JG3OaT3jun3HX3hGIVXwWsQ56SJamk51S01SIIgWNVarCJt9gP+yT7zlnlHQdsx8KSXzffunx0D9gW25TU1SpCk67lA8Qi3TnXQoFyyWJUtusxfvuPXrW47a+TQ40x/EIL31qcrXX6V7hgaegH+UVeEH3ZsxdqPIKV+UVId2MPNgnM+GuvUsBhtHq9dP5E4kQQSLEMi9xxa+weKJjRirLpqBGrS5qbKoNPZPOJ7/2WOTu5C65+/jwWRQeQRfjqVmJ1IxhIfetXUUUnIf+AYwxdK7DWqxxU97gw/kDfvP5NzFauvelkYCjBlBmZB7QzV2qq+K04d36XQoojIh+XKOhSd5Zn3FlqT7Yz/tUv8x2xtP4REDpBZzRXmOwAypRobNdSo5mnqGfegoU8haBE8h0VV7RGcQ5XOdwW97i3fYd0dfyJolPo/VmnF4OesBhPuC5f8bZnPHl6kvSh7kFne6o9rhkVCwgW+yb8oYaGm+xn/Y4TSc8jU/pM5vSpFozNjSJwuou/27Yk0asJI2Yk+TI9vOu760gfxqeUIsaBS9QFYTMRmP+GEwQN//4kL5t30JwgW/dt3RABkepd4Js+yST8MbjN/e/iV21w7pY46q+Ap84daaX1Mofn36cimjnXBJcTn4iKoXK0ODiDQqGuqiRO0qt1IbSMpVU2OZE56iyKolpoi90KcvE5Yp0htfta2yrLbq5Iz9gLuCtT0IJySmwpdMdDssBJS8BReiA8Qa7fIeb5iaNw3NBG5SQIvmVW2+pKw6O7Bq9xypbJYeD6FHKBU82iZITZzd6Mw8Y8DQ+4a65Q6tanAS5swiIlLi2K3bJPouHS8qb/txcxHHl7IkTaLxBm7VpXL+pCN3RhkRUg6VDMHbbTd6k8ICTJgFXLBaiP/JoRorXtcS9q7Oa+M3LUxrbz3aGZjoVdJOZfgrNOi2n1HxEhHBbbvGp/5QCR+ImGy3AWEbuEJOb8O3hWwq5ulxDlznseyoCJkNjyuN8xHE64gebH6AtKVjjPJ2hpELL2+TAAVCE9GP/iMlNiZagOSEpVV6Rkj9cbA0vtoUuOLxt32JbbRFA8dmRChG5dc7TPR69b6ONZ7RryniWaBkxBS4ipZFXHBGOKJhkC41XoxgrenzPjpqp6+aakngDqdqvmisMMxXDk5ngBSHjDg6rjHyte9djV+1QyhLP0zO+Pn2NXvf4hd0vpPCgVbbCoAec5lNqjrigZvrr49ck5Cs3cJoQzzZrAY80Ct9WW5znM4IPRDlyC2pRUyAXF7CwSbgpuIBZqHDtNflsx2I7TmQykZGY0JCYcF2s8Tw9U8qkJFrWOl+DMYYPwwcoEN/wMFNBtC23NHG5JIzGkIpPHYmmGGPYVORXLgV5mEeuLQIVU1qTTWj0f88ENRoOhI798OqH+BeHf4FhGdDZDtuciqG4V5lgkLP8p0SdAFLwTKRbZDxD73o8zo/IBaGppSxTMxHdlQ4z0bqijZl2GuBIATtKUOCKh0dnSKwqmIAA8ZkrRQjhcTriff8++c5XjMKClFR4mkijU6saN9UNruqr5ANczEQxaB3ZB3YLpadWGSX5FTVZOC52wX4iYeB5JivbmCAbx9WH6bO7V6UqZIzs5gZD+2R8duN+kxrHi2hyP+/xND3hdfMaiqk0Nu+WjhoQRoh+pJ3F5izayQGU9nhVXaVAtfvhHne4IwRV0jNQFnTvRQck7z1lO1xSP7ulQ6nKZGhwWA4Qgc6OiPrOdsZvu/ltZI/q6ZyIovluoed21pSIGlRIAE2btShUgVfTq8SNn+yUwphWGRXJEWhpszbRB6uMGrNCFWg8TaDjpNoHogWUis63wIjLFGlCkRIVQM9ydAKaDAnworWpCSZd77Ym61wlVZrq1HlN348kofR1dY2fnH6C43RMtpTOk+NLpL3mKicetiwxsQnTQq/9ND3hpr7BaEd0S0dWvVzCW/JY73SXMlOanMLBBk0TeHBAWZWAO+ddmu7aYJOvduSHm0Di1yjMjW5omaSwqrvmjibTdkKnO/xC+wsQjILuokD8pE8prTr6zxtLCaxRjwIQ8NXPVGRHVzTv6fmtsxofzh/w0D+gzmraq0G6s1WxQj+T+cPT8IRSkwZuXayJniyoyG1Uk4LY+pmAssUveO7JISoaFcTpvuRUY4yaQBLJJJRS+Kr4Cpzzz9MNRgCTdhomUHbCrtiBC45xGpObTW96KEk0Sc881EI1AgDs+A7W2OT6I5hAN3c4zAfsKrJUzDgBar35/0Efcg9CriY7wc42JSR2S0fWUhc+VLTGit6qkktcV9dU5Fkq8own9IhzGvWs8hUESEAkOfkkxzStqID/ru2TUhRXvMYakkl0pksJaXGcWhbl54t14cPdVDcYzZhQGOsIrR7NmFTvuSBOaETnurnD5Aj9icFFsdB03qXRPzywn/folz55OuMSzJNzEkFKTumXiyerrui1WxckTvty82VCcd+f3ycv1+NyxGP3SEmMF/s2FigSnDOO9+f36cGKKaiccxSceFY/XP8QTdkQb/BSMAghkIUMhSjwPD+nUbJ2msbnZsQXqy9w1VwlR5JBD5j9TILY5USi3Is+IBa/MfH0OB7RbBpCESQhadtimygfnemSFVG0vXp/fp9EvNtymxD0xS3p2ka7RM7Jz7vXPRo0KLIC4zyirVq8al4l7+xNucFiKLTh4fhA/PiKgh7arE2Ti/20hxYaq2KFH6ofwhoLJshZ5hRoA2wK8ok3wWBTbsg2kGd4syJRs+KKDs0LDeDbEwm2QghQSuE6vybhs6R7MyrIjTN4HB7pXrnoC+LoMXoic0k6i1zmKAV9x3HEz8BShHuMjTfeEP1GE4d3lZNV5jiQ1eikp8TdjFzjaD8aEGj05+nwLbIC1pJQ2IM4f73t0RuyT+sX8hOPNBbPqJho85YKiemA5/EZi18SvWwlV8gzorNETicDwypb0b3JySNZCRIMX1fXFJxxEY654KCtRpu3aUxuPd13k5nox07Jl3gwQxKLR9FSdGk4TkecpzOO0xG3zW2iNgQX0MgGbUb3FAPDw/SAyU5o/WckKnKeF0+BYjcNpdbG68EZR2lLlFmJVUlhJY5R9kKryMLRBovzfCZXAEnP+JerL0mI5FxqTKLz0bIsyLP8XxN1LnZJovu478V7hAWWbGtdcCnV9ov6C3I7ughCA6hwW2frZCMJAEyQc0O0yGtVi6qskLks0StiIx15smdNPtKVrLAttmCMxOvbeptcniYzEU0ISMUMAukxogYjCrpzmSdufrQ8NN6kyaMLlEaqPSHe22JLzaoscdfeYdB0Hyiu8HCma1mqEt6RGCwixbWiDI11QVzvp/EJo6dAllmQeK9URHXYT/vUCEfqyGhGtK4leo3KcFVd4TCRo5OCorwASdPDEALetm+RiQzP03NKdo60kBiEFZt0xYkakYs88f6njOge0Zlo1CPlMeghOUw89o9poqkkPe+riiztYuR5PAuP85FeCxRIU6oSHrSPj3okFxJJvH/pZKILcZA9XkBAmZUwjgrG6FTlg8dhJtvOaGzwafqUitWIaF5X1+l6RlF11Gm8Xb8lgAJELTPekDjv0pQMekjuTTZY5FmOO3WHTbHBXXMH7Sm8TludUoArUSUTCW89etknCkcm6Zkb7IDQByzlQqCgYGn6+10EvZAF0dQyojXGPVIKiZZRVstoRlzn1ylArFRk6efhwTjpf9qsTYDWbX0LB0duJherxE2xgbEG5/mc9sDvLs455S6cCHjZVOTd3huabFtrKRnaeaxrcqAb3Yg1yHZTcUXaI9mgLVp8tf0Ktaqxn/ekf7jwwI03KX9hshMO8yGZN5RZSUnTl+cxJnULJlL909REcZn0hCongaZxhnIyBFFc4vQsuiVFmnQmMlhG0x8lFNH/xgd8On8i4wnO8Dg9ouBFCpW6Kq/IZpFTenXUI/w863sryHNB7ipKksNInddQmcLsZlxX14RcLPskmOPg6BZSgjN2CcO4hB4cpgMCI2GfhU1c1MUuGJYBLGcJ3T1MB3qIlwM22Sa5HsTo4slOyarLWhpTnZdzeq2owq8VpRRGBD96WO/KHcZlTAE9bd5CeeKiR6uoqAT/7ueIoRYx0CI+EKtyhVW2SnzW6J8rmMDT+EQb8EVoxxlHYIFixdefuakxQOO8nHHX3GGdE681GtjbQIEi23KLw3hAndWkZIcA5xy7YkfvT88IltwJ+nNPgSiCVNKznpNVn2SSipL5jF25S83X2ZwxnIbUMEWDfucd1tkaTFDztSk2yUc+eDqMj+6Irw9fEx2E06Y2efJ0L/Iide6lLLGtKBHxoX8ge6iJBL6lKpOw1QeyhStEATAkd4HTfEpJlbmiIiRTGa7FNQ7TgTbcS4H8PD3j1foValZjdHTNY7zyTX0DEwxuq1sSZkkK6ihVmTaVyLOPoRpYiIsZkZBOdyngyTpL1mnMwlmH1+XrpBjnjCdahbUWXPKErrVZmwJFBBOJDsM4QylLSl678OWjv7iV5EgSkTyADps4io3BDQEBr1ev8dQ/4VP/iShnPIPjLiFcACFLz/NzEtNWWYWr+ipRhx6GBzxPz/jB5gcoObl2HEayLrstbnFVXaGfe9x39yRivISDtYwEXTqQvVrkwGY8S04565wKnW25JXqa18n+SwpJm+nFS/fJPZGQ7OJy0us+hctwRiKhYRlQ5nT9rLNp+pPzPMWqvx/eUyF7aYQiNU0wOgibvMFZ06GX8xxnfcYTnlKBeJgORMWzI8qspDAWQzSvyU0IIRA32Rt0U4dcEV86RrbHBMJhIWrDdX0NKSSum+tUcDDOIMLngi/qSqIINKJwMUaeMZbyAeJzuzhKJ76qyEN6NJf7P6Nr0KgGne4+28gKldyjvktjkFySRz/n5LKjJNHsLsWwceSuJQVNqz6cP+AwHbApN+kZ8N6n4ji+7yY0WBUrXFVXlJx8ocH8q17DnHOKqVc6nUtPwxNO8wm1pH2+yRuiwwWXXJpCIKrFZCfkWZ7Sc+NUwHsSKjYZTfu+OX5DHt6SUi3frN4kdF8KsoTj4GkcH0NromD4NNF3EidIP3Y/hnceV81Vchq67+/xqnmF16vXSfhovMGwDAgFUdzOC02HBERKEjWeQIFNsaHziDHc1rcICDhMB0ofDEg0JMdcsgYGgOfxGW1OjeYDHsji0c8kQmUChhH1qy5r3La3xJmPdLK8Sdqd2cwpbfJhJL3K2q9RCTrPwcntJKK30R7waXwiMfWlgV7lpCOLaZcBJFJ+u3qLNm9xmk9k5sBJeJ6JDGUoE4WiEAVu61vc9/c0WV4Gck6RNX779W8nUSgjBFZbnfj1zrnkyhFR3+8Wg8/DM5hhaRIeQsBqXiVUeZWvSLNg5zRhjf7ukTZUyjI9g2Bkt+zDRWDuJhz1EQwMUkgER3TPx+kx1QqSk14OoAyXFV8hcCpgY9NznI9Jwxe58wBgDJlnxBDEdbGGFBKH4QClFDKeoTMd5EKFLwsMwzygzuuUiv3DDQF6m2JD4XaMJuz33T0EFylXgjGG/bBPKbmznbEuKa23zMqUXlsIqpU25SbZF8eU51GPtKdwSZbMJekfoq2yYJRsO9s5TUdzkacJcy5zFLzA+/N7rKs1Vvkq0ZetJmpOKUsMdkChqIiPxh8/z/r+EPILT26xSwoXEFykDvg0n3Df3adEz9rVieeayzz5eHZzR8mFZsEsiENXCuq+J0eo4KCH5J38PD6T6MorWGETn4pzngRMUTgihUwJdcZT57i4JW2woxlTh1XKEtJLfOw/ggVCGNflmlKjZJZQrhg9X+VVej1tNblQSIVxIS/ch/4B2mm8bd9SIARn5FF8QR5jYtfBU8Rw9COOSv9tuaUER00hA1fVVUI5M0mCOi/JDqnJmmRpFv3E44MRUc/JTmiLFg/dA74+fp0OtZIRVWHWc/IAB5Bs3E7LKY3yt8WWCqrLGC9GjI96BOMMtaQADMWIo24doXxRWAcAXJON1apeoc0JDaxkhV5SNPZ3o50HQ2rzghc4jSf4wicqQuT3BVAs+uzm5DSQiSyNBiO/MeNZGt9NlugkSih8OH1INAMOjlWxwl17BwZGAlk7o8or0h1cbOAQyHvXGroPnHOENjkLqQgFnSyhfG1G3q9QoLRLGAQe8NA/4HXzmtIevU4OGotfkp1YpLW8al6lAykKaU/LiShO7jM3VXIJww3Wck2jco6foqtEnmA8iJx36fuO6BuAxH0ECEnu5z6FGw12SB7Qu3pHIj1N3tYMDA8jTVOiz/d5PtOkjLMkvIp2c1HgGzfY6E8c+dHzQroUyWVyxol0OB88duUO1zXZNj6Oj9iVO3QLBQbFEb3zLgkzM57BwaGf+0TTiaFJz+Mz3p/fU7EDKoJykWPSEz71n+CCw+v2NVmCmolG1lmFOq/J5mvukgtOnBBu821KKdVWJzrIqljBBiqiFyxwhpDOTb7B00hBXrWiA15bjYwRIldmZaLtAMBJnwABbMQGYMCH7gMUV0mwyBjDNFNASCaylDYIRuNhE6gI5xNPFKdX7av0/Q5moMTGy33AGadCFeRkk9wjLpqUQQ/QQqfmsc1a7Mc9JfpdRJqZyHDrb/E4PNL9FkCpu25O50rktWuvwS2HzGQCJYw3aRobQL7Wggm8Wb9JDfy2ouZt0JRlIYIgvc4lSThS2bjhyXM+53kSRvtA+0ykXE5uQsYyfLH+AsEHHBYSBHJGDchVTRZ2h/GQUlp73ScEUHudcitOy4lok0Lg3fpd2hu10/CLx67YpaCqxS7oTZ/MATg4RjvS2StkCqzZFbskco3nZxREx99jvMG4jCktU3s6uyL6apyBc+T5vh/2CYksZYmcE/WgFCWaoknXNvqMj3bEbOYkfo5TrKeRgsRKWRLf/eKwxBj7qcRaxhjYyOBA+1Gv+xSk9Lp6TXu7NdjWW2qsAj1TjLOURikZ2SNHW1UP4gUHFgAPeEXJ2k3WJL1B1Fec5zM16qpEsSqwszua4uQVZk26ChssOU9dptE2UJDh4kioWGUkSI00uAguxCY3nj3f/ezRkSyZXARL4OEy4ra+hQ0X2q/L8TQ9JQvbUpZpvzzNJ6JKLeStLplM9dW/PPxL7EqiphaKhJN5lqNBQzz3y8TkNJ9Sgc45WX/mkpyEttWWHLsun7dtW5qSZyVlnlwcyBhjuKqvyARDUjLsqEfaPwKJa623gCfR7uPwCOccbptbejYurnFKKDwPz5jZTM98CGiLNn3WON2Z9Zyam2mYoI2GlBe3P0H3fJwCFpLCuiZNmR6lKpNFtmQSmcxS6vRiKWPj513fW0EuBY3e49KWNplxGXF/vk9eyoILDJa65caQr3KMhz7PZxK5WeL2DDNxgHOZp/TCdbZOaNi8zLhr79CohhT+hsbkGc+SB68U5DP+ODxSIeMDTvZEbDQhUKBIxY/1xD361H9KI8HgaMONqBNAqEKMO48uHDGE5nF8xDATsnM6Ey0hcoN39Y6SAV0G5llSl5eKRIBc0Ps4T2dSuzOy9NpVxEV03uHkTyk167upYNEfejJ0kyVU5sJZi7wq512yf6oVCYVi8NBgBsADcEiFaClKctQIdABEoV9EMgpZ4Gl6wjpbp1F0URbJIxWMElBLXybBUBwVlxlFljclRd02eUOuIhdHhujWc15og1zckmga5/mMkz6lQrWRREvpdJcKgihiiU0PAKIhXAIaIsXnOB1TQqywNPWIoVAxIU47DeYZqqzCbX2bRtCPI1GFBCfeYggBR3fEc/+M3hB/OiJVs6cxWnTPyBQlI4pc4FP/Cff9ffIaP05HCnHK18nSKwpZYmLq4hdq5qY9jtORKB8XUddVeZXEOGVG4mfrbAoQiQducrq5FK0++IQ8NFlDDg+XBN1+7mlycAkc2ZU7OBCyNvs5TZUYI9QdjNDKTb7BYAndnUCI8HV1jVW5gg4aT90TDvpAGo+Li4R2GlZQiuJkLlHrTJJPMOcJ9TXWwILoMhWoSItBUt4TSPA8PCexUzzAo+3ceTknt5HIMW6yBqeBorU31YbE44FsyiSXVDxKhY3Z4DgeAU70iegKoDhNCb8+fU0hJ/UNWb5mZQIsot+xCBTkFV1BvPPYFBtMbkre+caZJDpiYBjcAOGIN1rJCtvVFoUo8Dg+pmlTFD8jIHGFK1WRTdxCLhHgSI0sAqAXnZC5WhC9LYqsIu0lCqQGPeB+uCdudtbS1O3iB+6CQzd1GN1Ir8kvPuwXF5xSlWmaEtHnmMoZUXXrCECJFBwAiYe72CXZlg56SABNpMZty21KjpVcUmR6dYPDdKCDHy5N+aLwO7pfWG8x6zkBHbFZjSFcUf8zmzl9P5tqk3IVhBCYzZwaoI/dR1zl5CUdfKDG5TJNzAUF21X5BZ3PKnIMkhXaoiWRbknNY7R9lVzS9+mp2JvtnNyWYhrwkR3TVCFomowUoUipmBEUEYKurfEGuafp4XkmN47b1S1NDkdKp91UVMRFykodyN3MeYf9vMeXWxLdAbTfD2bAlm+ThudxeKRmeRnw8fQRBgbX5TWavMFpJvFdkzfJ7UhwkTQWX2y+gHee+L8CyUoUAanx20/7xMmPib4Zp2dKW02FPmd4074hr3s7olU0NW1Yk8DBWl2m1YwK3hh8Zp0lkI0RZfQ8nZE1WaI59ctF0DhToWqrzyyAUY/YVTu0WZtcsSL9K/LNBadp5+IWdGNHE5Z+oEl1uca6IjvNYAImNmGlVvQsawrm4iAw43F4hOACr+pX+OHuh4khcCfvsDIrPA1P9PyoGrtyR9z5kgILffAJmInC9dvqNl2TBAz6BX3fY1P9f6j711jNtj2tD3vGHPM+3/u7LlW1q/bZ+5ymwSDcCHAc2wrISGBQowRk8YEkAowSISEZW41iRPCtWxBooSiyHWxFanRs1DIWSaBloaQTt9uNLCErbfHBEKvdHLrPvlTVur33eZ9zjJEPzxz/tbcbDn02jU/87g9nV+06tdZ63znn+F+e5/es8PXN13GdX4vXxRfR7cizrhoqErUGGuWdc1gklBh2pkMY8ZpeJAucuzPKrqQXxREwUPb0oVV9hVCHgs6sBzYp23wLC4t9vcexPTK9VyeIVIS7C8/TVKcIw1DQq2mU4uP0Y2zzrfgtAvC5cx7OUoz7r+OVB1+pLv7K/89/xNdoR2inkUbkSPr49wDUlXvagIHBOl/j0B5QDiWKrsAlunwpUKCznZAyLKw8JDf5hg+hocUH6QdYpAsMjlPQ++qeJrKhxMviJZPQpsKgcsSYOTgxybRjKzqn+/peEIr+wR5rxggjpCnDd6ehDhEHsRAFPI1FBxq7aodPjp/Ifx8tJ8K7dkesnMkRjqGsn+4udxgND7RFskAcxHgcH9GqFgYGy2iJIixIJTEtoiSSItJYg1k0wzpfyyTYa0MHN8CMRorGpm8Ey+ZAJvCpoW7Po5i6sUPURWh7mh3X+VqmPomhFrEdphQ32/PCDXng+1jbWMc4tTRVLpIF7kr+fP73m6FBN3CS6N3QWc7O+tgxpcxoIw3CaEacmzMGxwMw1emXuOLbdIt5Ose7yzu8K9+RXBMytt7LVLQmAsuTPAYz8AYfqM071AdEAfmt3sjpI4A1NFbJCqtkhV2zw/X8Gh8sP5BrfpMTyVf2JEPkYS7v7yE+wARshrxUyA0OOtTiEl86osU6R11vhw65zZ9TMCNKZ9qBmMo8ZiJh1VVMZOxq7Nodzs1ZprGnhmFW+26PTbpBFmeMNgfNWGVHrWVnOkp3kitye6dpVT3UwtpOdCLpr58eP8Vj+cjtjlPINa/5JEjE2HvqTmQoZ0uZtkQ6EgJAOZRIVCLXvE+fXaQLNOY5BMYHQcEB5VAyCCdf48XsBbTSwoX2aZd1X2Odrylp6yvRr9Z9LX/m0l0ot3JW8FpFXFA2YAw6x+YtUAG+tf8W3lXv4CynaYEKsJlt+GBWlJ0pq9CPvRjdvOTHm35723NjhFCK3qZrJLHR5yJ43FwURFgWS9G3piaVSHMVKzyVT9hVO7J+wYRHn4Zcj7UUoN6Ud7EXkWL5NE4vm+sNNzBhEKLWJC0kYYK+ovzOhAZP7RNc4LDO1jJZ/aIO1a+md82Ok9AATOmbJnb1WGOZLqnf7keJ/Q4Ut06X7sKpnH2OFteYhggB9es+ZdVPLz0MwG8y66EWiZx/jsU6RhTQf+GLlEhHovNNwgR3lzs8Vo/0Qzgn0z+llISSOTjGp2uHlV4hUpEY08/tGWmSCs0lCiNorXFsjyKB9PSfru9wVEesg7VwxLWiWbQaSDtph1ZQjD6OfbQjt6MmRxfwul4k1O2OwYhDfWDxP93Td+c7IOCmY5EuaFy0QGPpl8jjHG9Pb7Fv9kyq1sR45iHpNYMd0A806gY2QIxY/kxnO3ww+0CMklVfoR6ZEBw4aph9Q+PpPauEaaVacSNXxCwA7y53uPQXbOKN5FXMFsQ6PtU07y/TJcPqhk6m7ibk87HpG0FN1n0tqc/+TNQhuejn7iwDhdYwcfcquhIZ2DyZS2aFl6g2YyP0m9722GQbwUZmYYZQh2jONHpaZRl4Nm2nvrb6GgcFe4NDe8BddcdNSDSTiW9vepmMexKTn/6XHQ3mkYoE96gw+QF0jm5gEe3lsdtii/en93goHxCpCDrUSMYEtalx7I7i19gUG7xZvEEWZ5LMeW6J9PXIxq7vcOgOsu1TUOJfKsEBp98yGGdQdzXRl9lWpL5+QFj1lWyOD90BgSOVbQxG2Y7NUkr8uoGfp7VWaphmZJKxcUYCEruBcpSn5kk2rTczYmxDzZLX54k8lA/i4fOEP5+u7g3UkeZwdJYQZhEElIhqpVEeS5yaE5bZkvjbabvxVV/fs4K86irkM3b6/dgjBFMd/brTOitSCZ90FgeUfHx+/BwfrD8goqcvJdo2SRLRUPeuRxRGyIMcEYiNy+Mcn50+w1P1RMqICyU1sRkaSU/TgcYm3siKw6+Nj82RRaYi5zoLM9HX+UCWx+qReiStWRzDiX50lszE5JNqTorvyjvM4zl29U6K2+viGmVX4lAdMCYj+rgnm7g9Y5kunz9wBeQRzYEazwzPc3/GOmPSndd050kuRlY/tfFoo850YjJtugblwLTBy3BBHuZCJfFroU2+YTBOXeCxZfx7pFnYespANVQSRlPoAtZy6+DNL3XPqaknEeRxjiRKpBC59BcSDJwWhKVyCsaQyHJsjgAAU9Cks6t22Ld7Fg5T6EUapGhNK1NDKHLal+kSp44RzLHiVMWjH4MhwCKiEdCHinhyiTVWTKIKSkI9PNfcKcdQjinZzYcnWGtF559HOR9U1giq02M5x3GS6MQGfc3kwVVORB3wzJi/L+9pdnKclvjQpw6UT5VDKXSDQAXi9oeCJHJGAY1qccSD9Ca7wfX8mg9MsAjz2DufEeB1dmmYCi++GSYz5xRh3xlO4efxHEPGNXcYkQxy7s+4zskITsMUFSqZzHrqwlP5RN4r+DOf+7MQLbpzJ+vDV4tXkgz5sngpX9c3WX6KeekvGMcRd5c74ct706pSNBF5xJxxhkl3YYqiLTgssDxU1vkaAIStfekuklrXDz0f/kY9mw6jnBNFnWAWzXB/ucepP8Eo5hNUQ4WknQx7fY0iKeRr6UAz/rk9kRiSpwhcIAa+0YwSOgNQDuLRlqlOUSRkNne2g1UWW71FkdDoHeoQdVvDhhZFQg76YAfRXvq0v850XP0aYhxHNyLXOY41kaqd6ZDGJJXMohlO/Ul8DMaZv68pzHN8D+2BDPpJ2ud9G37C742ggxmeyUBKw4Kc7nZs8XL+kjKKaSs0j+ZCaPJafID+hVN74gBgemYDlDid2hOCgB6M3vTigSm7kp/H1Ixt8o1cIzfFDdfZHT0/XuI2mAGn8URZnmnIj59i1j11wcdxp1EKNzh5ttZdLd4iTw3y2RVZSDRpEJHMZANymLuhw+BIH/miITnWMe7LewDk3nvUq6eVKFZuNLW1eyQZpUBQwKE9iNRqNCM+O33GIVF3RqITstDtKNteBSZxxnEs2NEIEeVnE7d5G1K/7zXR/Tg1HpPEdHSjSCi/iFUNhmd/zSIlA917oiIdIRoitEGLn3/4eVQd49dHw6bEKRbEq5iNkedp+8FNoAJc5VfyjDkOR6RBikY1eLqwsfxw8SETZKeC22eOtGOLXb2Txt+brL1cyRfcfkj3cv5STLnrghQsHWhpMj1+9+XspXh4WtOKJLaICuGQA3hOcHWOiaNgnVQkBeUYYLhRP5LMtUpXUszvL9TTX8+umT0y1Eh1ik2yARzw3z7+t/ja+DVkcYat2vK6AGVJ63TNbfa0ZVJg0z9P5+IFCDXlV33PVFJ/H9/ObpmEmi2lQf7ioCNQAdbpGs46/L3D36OccpJVXvqLnCta6edwRgV0PZ9v3dihN/0zeWdgWOEyXWIeznFdXAtNDPVzcvqrxSscm6OYZ2MdC9XID3gMDNbJWoZJFsRW+iHp6EbxrpRdiSR+Rgh/ldf3Lhho0p35C36WzGBgsGuo8faJVH4NYJ2VdWQSJsR2RUwh9CslB4ck4H/TitPzKGE3eOkuYpTyh+4wDhTvGxow/YPLNwVlX4p+0qdAnboTQhXitriFqTid9dryUJNL+tQ+MVVRMTjBJha3uAXAn9n/nb6ACHUIMxiYgHrVZqQ7+KFmAmYURtKRwRGBFSmmDUZhxJROHaIfeqbAGYW2bVHrWtzz3nXdmx7hGDLGuCOFwSMnh5FFpU8i9AVy2ZVohkYClgBe1EVasHO1nUiFQj0VK0MnxqcwCiWe99RQPuPNdctsKZOxJEwYHDSF1WSa3NciLjAMA5RWlCeZiSXed+izHsf6KE5tb3jtTIeyLSm3mYgtsSardrQjXs5e8vdCIpCKhFKHIiywztfyAPd6Uy99cKBWb7CDaN19mtgiWqAP6IbvXCeMWADScTsQLdlbTrT39R6H+gCnnUiRBjegrEucB4ZkrTKme4aaSMlLf4GyCrcLYs+aphGJgA60BCGEAWkqcRjjvp/YuSqEihQ62+E2vMW64BbAOMN1crMX5v1gBik6/VTAJ8QlOoGzTmROi5QFsJc3bPOtpMLlYY6kSHBqTmw6p2krFADLQs1GFq/CV4gCxkGnUYpds2OCZbEVN/4X0y4BsnGrsRK81u38FoMdxPfhJylw/DpmpATr0l2wzbe49Bfsm73QmKqeRlg/kS57rpZDFYo/oxs7rm91gIeKE5ZFskDVVkJHGA0DaVbJipgz2+EquULgAgmRODUnjHZ8Zp6bgTSoilsABfVsggxjuJF6SB9M4d+f0TBR1Rcr3ciC6Pu33w8A2GQb3MxuAHCDeGkvGBybJgA4Nkc8VUQIJlEi3okojORQBjj5N87gvr7HJtnwEHWO27l0KRQcrbVI/PxE0T9fE51wEjs2Qm5ZJkuc+zOjzPEFOouit6gZOeX0GwbPt09cQrqGGyQgJdKRGEW9vvrSXbBKV+KzAYA8yNEqyqbOOEuozipdAY4SGy8XeTl7KZpRv0H8/Pw5r81s+9w8TCY4v1HtXCdnVhHynh8NGdf+uT8MJIPMwhlO3Qk3+Q2SJBFTN0C/yaWdknynwmEcKeHxrHA/3fWFvXUWrSM96NScME/njLAfmEewzOkTGYYBKqNfRznq6tNoSiEdayyjpaB2vbFxGAbq4KdEQmcdju0RWZShdZSG7Os9N44Bt31ew//u/A7N0ODt+S0O/QEzPUMU8XzzhRIASX0dzchY9ySVYRkwIUyhEUYs6JIgQQdORkMdChEo0pwYxzrGIl5IMFDVV1JYr5M1imji/zvWI2n0nETpiTztyGC0diQDP9CkmHgDsie7Oct6ZJbQy/Bq8Qqn9sRawFhEcYSm59DpKr+SEKdIR3j87BEP+wccNgf82l/7a/HpL36Kwy8ekBYpXn/8miQUMyAo2PAl80TqJWeZE9D03Np4D5E3ei/yBYqcgU335f3zdsb1UCNzVdquRdM2uKgLEzAVE4tTnVIGp0csk6WQjKyz9Ov1bIRCHSJI2OQWSSEZG6EOsU649Tm1JwQuwDJfPiNRFZ89AQK8vbzl70/30bvzO2RxRsnS5KW4tBxsXlreI5t8I7JE4wxuZ7fcXoexNLeDHXBsjkJdg4Nco5fugiZpBCUbhzSl38a3KFs21PN0LmjqwVBd4e//0XBwp6Gf/Xhf4fU9K8jTiKvUVboSDN5jQ02jcQbvTu9oKMhX2GSkfPjoda9z9VO6VbpigMpkJHOBoxYODGbINaeSD/UDJ2QhO75yKCV62BuzYh3LBMinSnnNbZ7kEtl97s6oK65vq7GSAtRPED1PVwUK4UBTWRZlEkntA2wi0JjkSRHK8sHU1Z0gpWbRDMfhCICEhNGMmGUzwSF1thMNY25yhiT0R2J74jkM+PPEQSySiUtHh7c3enVVx/dXUZO6yBayLvNrmFAz6dM3Hz62+tJdnmN8wwQv5y9RJAXqsZaV1CpZ0aAXZZglM6zTtchoFgnjjquO3al30HtyhHEGT80TRkeJgscePbaPYirKwgyl4c81uhHKKEm1W2drmfz62OKr/ApBQERaYxpxR/siIkCAU3vCMl1yojS55WfpTAx4gQoABazyFV6FTEydx3N8uP4Qx+6IsisxdhObXRH55FFbSik8Xh7x6fFTBCGn8ipWOHdnnJszLuYiEfc3mvrMS0Nes7PUcRdhgSjitCgwLLybviECK7uS1fqu2lFOoYDOdggQcKI4Sb58EXeoD5QIJAsxNGZRJglxPuikHmrcl/doBuqWfdJbERfUcQY8EE8NDb1pzIl6qKeUVEdd7yycYTPbcOpyrmT7EukIh4YH/jbfMm7aY9MU9YaRjqi1ntalSimRuSVgsW4Nr8mH8oGBG5pNrBmNRJkrKFzaCzb5Rgr9KIwQ2xjn/oxAB2KaMtaIX2GZLLnSr/c0B0WZGPnggMpVcs+dWk5OP9p8JNxe5RTO45mHaZShDya/hLWwgcV9fY+24zYujVLAAVfFFa6KKzg43F/u8Vg+4s3yDYqkwDyZyybRWYcxHTFfzMWE2gwNm0oE8rzVASUqx/ZIfKphYMbRcAo+i2a8psZG4tWd5dDDa7O9mXkW08uwr4lqnadMyfXsbn+QZRE1mIlNhHAl0pKeacG+cfUN5mAGhAhR5NwipHEqz4YiLkjXaI8idzh3Z7iOiNun6gl2+scPf/wr1jHGcBTykscMbvINbGmpvZ02Llu9lSbw3J8RXojmy2IOOnwSrG+sQhXi9eI1jg1lKb3tEY8xhmAQeU0YhKi7Gqt4hdGSkhXH3AT7BGcoQgY8ZSONU4lsr0dOONfpWoLSrKVhsxka1B03L1fFlYASvFQjjVLcLmg+X8XUe3sqiIVljgM0wjCEcopI16FhsvVkCLSG00mnHYcaUSGDs2pgwbtKV/Do4k9Pn6Lua7yYvZBwmP24B1rgHJ8RIpRMh86QuNK7nptx22ERLqQZdaCvIgoYLLcttri73NHYGTwbyiMd4SonXahzbFSdczi0B3Rjh3WyFlKIp7OsUuL8PLzBv87tWXj8/mUtddQ+EMfDEwLLZ0YRF2IO/Nbf/RZ+8e/+IsxoULwp8E98/z/B5MlgjvvP7vG3v/238W//0X9b/u5/58f/Hfwr/+t/RX79e/7F38Nhx8st/unf8k/jn/9t/zyHkJNn4+6TO/zN//pv4jJc8OH1h7i5usFut0NYhBjCAdEVcy8e6gcpbL0Pwhhq+9Mw5WbEcdtwU9zgKr+iWbLZIbc502wtc048SjiNWbDPohnlvpZ4w02xwX15z62qozwHDqjGCtmQyfWInt6VNE6x7GlYjXSEfujx0D/gurhmyq+aoeoqqTf8RjwN+Iz0g65ZwuHKqTlJGqpSCuf2LAPOIAjgLH0uSZjg483HKFvKSQ2MyGuVUjg1J9RZLVhcf69ss63UP41h8Nb76v1Xrou/ZwX5zewGKlZI41TIKnmYI0QocctWPTvavbzCSyeMMTj1J4mZPnUnAJA1oGduem3QpbvI5MA4BodYZfH29FaSqsq2pI42yWR97AKu+JMooYbJNWT/mlrS8y7DBalKoWIlusdZzIADP70/1Sf0SS/fT4QI0EAQkghhLBuDcqDp4qF9ENKDX3W2Y4tlssSr5SsWOtOBNtgBpwvfv2JG3VgWZeJAB2jua10rDzRPGPETzzAIsc7XeKgecGpP+GD5gTjPZ/EMbd0KCSeLMk514eh+d5Zmw0Az4EVz8/DJ/hOZbL2/vGfzlKw47ZsmcOf+jKjhdGqZEPmnlcYsnuHT06c0sIS8oeqWGsAWTIbLw1w4s9VQ4dSfhBBQdXR/A+yefYoqLGhYxORhmMxUbd/CgrKauq9FqjLYAZt0Q/+BGcT4l4OSBDc4MeqmUSpm1SIsqOOLC0lG9Iz9Y3dEYAKcxzPelm+xTtbowo7FtY6wnW2FIOLd5WVf4ql+4qS2b7ApNkyXTJZCIzm1J9xVd9COn3EUPmv8HdigHpoD3+cJ2ffUPjGlEbz+Qk09vdYkIWCAxGcLm9kazOIZboob0mcCHrhDMyDVlFJYZ0Wita/2X8JB9YbpbbDArboVyZIPHPLNzjyei7xmkZL1rgIlG5ZCsRAt4kI2QD4l87F+lHTIS3fBVXGFQAUiW+ldj77lQxUBBMGaR9TI5hG1u7t6R33qRJoIVSiTwc/Lz7nlSheSSXBqT7i4C7TTODpuY4qkwCpdCWffmyaLuMD783vRbRcJm8Z2pIb1rrqjRGNoGdOdryXcy3sctvlWIua9Lt8o0g58YRUEAa9n6xCA75H3v5y6E8NozMRi73tp4lShxJidxznXw6ZDCOqYz+rMhinlpP3cnXFuzxKgNCb00XhSldcLRzoSD4J/eamKT4Ks++e19iJdUAJijUy5fWS2T6KFgvx93UhahoISeaCn1PjmAKDmNlShSMuasRFZnx+sePPyIllI4E2kqCn1vpMAlFeMjkY+L0XbhBv6EBQD0I7dUWQJIZjC6zXli4xDJjjiNvuxh4amKdYClaUPxGvnPUKuHVtSKsBQlyQii//UniQEKQkTyS/wKYhX+RXGkVtQL5Op+5pmtinvwjiDQ32g9HDsxfsAB1SmQqtaLMHwvVSngpPdpBve5yNpYZ3ppCl+vXqN25xhNe3QIo0ogTg3Z3nmNf0zsMBai9a2WKu1JHr797saKizTpbDXQx0iGSm3OfWnL4WbrdIV9exdJZK46+KahIzJ2BwoDpiyKBOvgS/I+7FnTkI8k2vWS1FGy0LcI3HjmF4p/5l89ouf4Wd++mfw5//1P/+lGugP/Ik/gGJbYLvc4k//kT/9S2qkf+1/+6996dc/8X//Cfn3H/s//xiubq8QhiGubq6glMLf/lt/+zvWXD/8V34Yrz96zS1ovIBRlAt6rHA3dLiEF6DlUMzXHJ4H7ilPUuNEM6EbbbOtSN4KXRBFPZ2fL2YvMLpRhjuDGXieNU9Aw3vf40NjHWOezXEZiLhOdILgEqDrmf2RqhSBJlSgiAu0imQxpzgwgSMYYHSjBDb2Yy9m/HZosY22z4ZkY9E71g9jS/nUVXEFa6mGaIdWNlNBQOSn3/oVSSGmfguLribC9zScvuPn8J1e37OC3He4vvhJdIJZOsPj5ZEPm5C6tLvyjibPqMC22CLTGRwcTv0Jnx0+w7k/M4EzYETwXX+HfuyxTtZEDQbU2XpixE1+I9SIpmeyXayoLQwRSqfnOaMIIHiq0XElOtMzXMaLaJyaoYGBwdf01xhtPVEv4ohBK9tkiySmk7e1LXXRYQhlFOquJpPZjbi05Jdax4N0Hs2hgmnS62h0WeZLkRLogZOlU3tCpCOsM+q8WktHf6QirnQcBPmYhFxxjYZT2nk2F+qHZ3/el/e4v9xLQtkiXRAjOFYwhhIWn7jn6RONIe/bU1UwUUg+jKnFK9uStAJr0ZoW83ROnaaxMgEMggBt24rWuRs6xu5G+ZfMaeuMlIg0TmFGg8f+EVVPdvs8msth//Xk6zjVJ0CxIy9QyM9YtuSdr/M1cZCGSLdhHNAortPTKJX0wbInlvIqv8K7yzvkMR8g3diJVriICxRpIV/fh5L4wtiBBdG5JZqqNrXwqwMboKorwEFWnb55DG0IpxzZ7NbK2vyhfGAYSJiiVCXO/RnGMBhKBZwcO8NDOA44PQcgvPp+7BnKNHATcOkvcogt9RIA5DPOQm53vPvdp+b61ypdYd/sMY6jmNyyiJiz8+XMCOLJSKjBhstLfryRJlIRbGCxnq2l+atGyoFiFWPUNO2uszXCIOQUVtPQVPWVxGj7A3tX7QTb6TXxvtk/1kes0zUL16nwSyLSGExLz0QSJULt2eQbwXMtkgWDuGoaP/01Mo+oix4cI5d7y8bizfKNhH3ogEWWL46aoUFrWyIsLYOj9u0eox3xeHnEmI34/qvv56YGQN3XDDybkiO9zGuwg7DYVcCAkd70ot1dpSsZUJy6E1LzzNI+NkfiynQm4SoqYEhbGISiDc/CDEVY4OiOUE4JEx0Amc/VXiRPSlFe9tQxijrVqRAcoiCSmPBFupCtShoyY8AzpT2WLAqZbtn0DSoQ6SjDjsmo6WkuPvDFr7w96vOLEiyPPPTXY6xjYVM/NU80uCtu3vxEr7cMIzp3ZyilxIsBR3yktVbuTz91DBCIxvbiLjANJWFplJLVPsbQqcZVfsUEwIhT72EYhGTjP9t1vhb/QxAEz2msKsWxOWKZLAVjempOMNbgUB1IDgtCYeHnYU6UnwM9L1M2hXUMkLHOkrzSHIWpXo81/776IBra3vUIbchp9kC/QTVUkqCcBJQ+zeKZFPebdEODsuLXmaec6nvG/zZl2FFta9HRz91cpJZ5xAbDKvs8wJsY071l4dW7HjFiKK2wSJnFMU/movedxzxTvX55dJT+uJGT5iRIpHgDgNzmQm1z1iHQgcgDBcMacsOehqlAKk7dCZ9/+3O8/dZb/JE/8Ef+vjXQX/rRv/Qda6Su6b7jf3+6p8zs7u3dd/xz/tW8b/BQPOCHf/CHv/T7f+qv/Sn0KfMEIk2Ds2BejcG+3gOOg4Ii5oDA5y+MdpRm3tcZAP1O65wJor7p8g3KpSOvP4syGZL2tseu3iFU9H8JQCLPZbP5VD3hMl5wlVwhjVJssy0O4UFY7bGOcXe5E3rbaGgwjh2RrVXP+kUFis2T1oR2DLx2OkM8qA8b8n4/YwyDqMIcWZxJEJ6XziRhIlJF4wyG4X+ElBUfTHNuefGvshUCHeCD5QdIwgT7eo/H+lGKmKvkSsI9fCfVm14S9GbJTCD2d+OdXDyz5Flb140s8KIwEvf1dX4NrTX29Z6az2yF3vTYlTukMdeBT+4Jdc+QjiIu0Kv+2UgaJBgxYhEv6PJ1AwJHKUPf94gQoRxKhH2INE9R6EK0UjrUiKKIeKQgElyQZ4P3tpdJvTfCnRuuZz2/s4g4cbkqrqibddTNvju94xrS9vj8/LlA+IdxwP3lHvVInF3RFZIeB0Bwgk/VExQUrmfXgjfyxohdtZN0tyxiSAwC4O58J1Msf9h2hvgvpRWKoMCxPVLqMk33L+MFYR0iiRLRW3tTmZclAZCJRRHw+1VQgIGgufI4xzAOqE0tiafWWhQZi6U0YGz2ODCwItShBP8EKsDt/JYyqXyDV/NXkjbn14GP9aOgxvKQ0iQfkKMV/32ZLrHJSAO4GMYJl12Jh8sDzv0ZWk20lpF0glkwkxTIznRIdIJTd+J0Lk5xaS5YBAuyoqeAIGssOkt9etVVuDvfYZ5ynTyLZpgtGUxkHQ/OJOFEwhqLWtdQhqaXyHD67o1nQRMgTsgo7/oOfdgjtrFopr28ox7omP/idNO/fEJp2ZUo4oIT67jAbXGLQ3OQ6zmPc26wJhxhFERYJyzCkygRLrl2DBd6PPM54PnQ1lqYwKBqKvRRD2vI048CPriTIMGu3eHp8gQDIzpsT0W5DBdO9h2NObN4Jo5/HxZxU9xw25YakVR4mVUzNlx9Tmi03vTCu90UG7Smxe6yw1qt8Wuufw23MyoUHKFx1NyXXckth10ywlsTp+UjwZc5UZKDG2SFjwCSlmicEYNx2ZeUrEU0dqdxiuP5iGN3FKb+Il2Qhx8oSb9VgZLvxU9YszjDPJrjoXrAvt1TXwtOUgMdYGh44CyTpRiwoIB9Q93wMiE157F8RD3WeHdmA+uJOutsTWJNe8LDhT+3N/Gnmoe3N0wOluvvLKYsyJuaHRy2+ZbTZh3i3J6fcYdTAJjfjA7tgDzmwX5qTmhDbo16S7zsMl1KwJs3jH2R0BKqEFVXSYpi3dfYNTsss6XgJZMokUPdy0t8RLpSbG7iMMYmoyF+Hs7R614SBhcpp4FestGOLY7tEdt8i1VKD4nfdKQBzdTO8qwYzYiDO7Awmig0njjTmQ6PNTMOvBFzm29FrmAMt7BBQFLKqTtJZkIaTkEnjnLPwQ3SUF5HPBfend7BwMg9Xfc1dKBJRAM9DWnEc3SZLuEsDf9+2KMVJ+U6oGl3kbKZm4UzhCEzKsqhZLMKfn3nHFTCLZk3jwYjEz3LtkQXdFjna9Ecb7INLj0BBb6pHvUokgdvFA4VtwNC2wkikRj6yPZyeObDS4L4tHHx0/ZmbHD36R1+9z/7u/+x1lDf7es/+ff+E6xfrH/J7x+7I9azNa6za4aRTWdZ3deEHyhutfIwl+f3sWEN4vNDyr7EVUpwhnJ8Vvotjpcx+Q1i2ZVCQfIbQwXKNQPHoCj/LAeAMGTOi/d8rZIV1gWHcrt6JxIwD24IwKChS0vZ51V+xSHYUOP9+T2KssCH2w9xk91INkxjGqQBg4w+P33O+ijQ0E6jcx36ilu+Tb7hxnossQ238tzwKg2/Wf+qr+8p9rCICqL7Kk4458kcRVQgmFHnWERcfQyW6VDKKTEGth3B756Pfe7PfBDpRMxGh/ogpoxYx8iTnLxnkCLiTXKeTnA9v0YSJKJnLIeSUyM3YFNsJJymaitBrvlCzWP8Lv0F82iOlzOGgPiJXTu2mMdcr3eGenNfvDVDg8fqEYeWa54P5h9gX+6hRkbS52Eu6yKtNB4vjwCAPM1RNRXSJOXNAis64Fky48VpmIjWju0zNWbqSBUUxoa88dGNULWS9WYU8ntvBzrhV+lKqCIe4biMl7DKCsT/urgmIiqei0nLWYddveMaaLox/RQ+1jEynZFD21dkeNoBV8UV5gkxd5uMoRXOOVl5hYoTKM8G1kqj6ioaFicTSjmSMjGMg+Coqr4ixSOKJUnv2B1lmuYlC948ZLUVbaCnR2QhUWS96WUrMZoRq4zvj0cgntuzEEj8TRq6EIOiedV/Lj5IoDc9siBDED532d5Qt87WUrSoQGERMsK3HVrs673Etr9cvkTVVRK2IhioscNlvCBWMYKQa7cAZCo3I/XzRUIZQxAE6FwnhjEfIezNjgCorbPEZPKXTnT3/kHqDXC+qfHa58EMgjaNVYwgZqy2JxLs6p2kiXpNdRI9c6U9SSNChCOOWAZLJAGvv/eX95LueBkuTN+d0kj9K43Y1PoD3xfkoxtRNRVaQzmUg5P7dJ2tuWWbPB3eNLpMl5zmjZEw9r1MbJbNcF1cU5fYlyLxinQkwTUHeyBvfmjhGsfn22RKuiluaK4MHBnd00TYb/csWDieOxail/6CcJwMR3aAcgoPFYNuZsmMMq6JP+2TS99d3kkoThqmMhGKdIRW8b7v+x5X2RXWORum95f3ONdnKK3EyPVJ/wmylMl5WmlcBhroO9MRsaa1DEHaktKwPOLh3pmOzyRjZZPTG96L1VBhGAdkSYa2aYU2UfUVN6XTlNrLuh7rR/SmxypZSbqhDjQGO+CpehJ+sJcAYuKce/xl2ZVkyAcBzh1TH5+aJ9Hen9szrmZXYu72BvUiLmTzMroR+2qPIAjwavFK9KWjI+Pfak6gR4zS9HvdvJcC5FGOp4qc7VeLV6KlByDJm6PjM8WjXxfxAu/P7+Uz9KmOyciz79Pjp1hkROWe27OgK9fFGg/lg2wYm6FB2ZfY5jRSd6Yj9UNpZnUoooqv82uUfUmaj2Fypkev+tAhP3n0myEdUIZa9RUn+oq6/t72CF0IaylzG8xAycok3RpGngmJJkVNOYU7ewczGFzlV8KeXmc0DR7bI1KdQmuSzbwJf52TcvL2/BaHmhjlUNEDEegJbZoURCZn9LJEYFEOMBHzoX7APJlT5jW0sjH8ojm5HVtUZfUPrH1+++/67fjP/p//2a9gNfXLe337W9/Gt7/17V/y+//5/+U/x6/5gV+DX/c/+XV4+fFL2eZlSYZxnHjrcSEyIdtbkY5538om3OBqdkX++kCfUD0ycC/V6XOipapwPbuW5sf7AQYz8Nrsz1iqJbIkE/OkhwmkOpVNpoLCqTvJPVSPNZwlQz8OYuyaHQY74KPlRzDO4K66w9OFkk9vQq2iSs6wdmwRRZRjNYaJvrDggM8ZGJDWVHWVEKtGNwoCM1AB+p7XuydyfZXX96wg9xIJp53IHTwoXkGhNS2WOYkjiUuE2+tjTi+4IOkTpmelnIKfuzO10GCwwFP7JIWBZ0YHmlreQ39A5CJi3wJq+Dwer+s7EfpDAfOIB3qve7Q9gxW8mWKdrtHrnuzs7oRNQYSQx6oppeAUjVCNabAMSBTxxjTP7S27Eut0TdZtwACTFCnWCSkCPH+nNLKQBdTL2UuGbZgRn50/g3K8cIukwCpYif7xVfpKVmyhDjFLZxjVyHQ0xzVqHFInGAxEENmRSWUqUJjruZhAjDUyEfYxs9aSI+9Zz05xVVl1lRQvZV9ik20k5OOheqCBKLYylZrFDGz6/Pg5Ptp8JMl8zjmZvPj4bb927S23JB5/5tMuM8eCO4zJ2X05f0mddUc8m2dh96YX9nms2fQNlhPAfuxxbs7Ca9ZKS5jFp8dP0fQNrmZXpAuMLdqSiXCLdCF4rDAMhYXtdazOUT/v0+x8pHw7tsg12eGbfINNymmrN3xdhgtuihtkUYayL4kOM9SQegLPKltJHL03N0VBJHHDfnuBgId7mnJz4EkeSUgNat3X0NAwiYExRsKGPIYK3TMa0bObA7BQ8Wi5ISDLv+5rrDKytQ/NgZHEUQKlFfSocXEXYvIsRGduFVffTd9gW2zJrIaBM04adM9ZvvQ08nqfwRjwuiySAk3XIBxCrLIVmqHBU/mEAQNRfmYEDCSa+VAf4JzDuadBep2tpaH3LOhZTB24tVYS41rDjAJ8IQehiAq8mL1gvoAZJXjFr2gb0/DvBSekrxavEAcx6rGmplczqCKwnIpGjjr6Xb1D2ZdYpAtixKDEDF13Ncq2xLpYc8KsQjGrlR1xnUVUwGqLvu9hQQ9NoAJsZ1u5do7NEdVQ4WZ2g26gxrnqKjzVjJMPNSflh+aAcixRdzXyJseHyw9Jd+iZxlvEBYN4ugoruxLjp7WWCYYDt47OORRZgVk0o6SmPVFjPZCg4M1x9VBjV+7glMP1+hoApDEfLaUah/YAO7MS1DE6Gs18cedjr/M4FxrLuTvjUB+wq3fEhRreu8YYbLMtADY+n50+w6k7ienvqXwSCYyCQhhy4uzDeT4/fo7ectiTxRn29R6rdIUX8xfcGkIhSDmp99raYRzQKwapeYNaZzvxT3mqk58uevpRMzboHZuxpm9QJIy1zxMWTp5tn0T8OrF+zsY4t2cYZ/Bm8Qa96fHJ/hM8lA80SetEUowX6YJGXx1jm29ZrGlO+xU4FVWBQlVW6AcWWtVQsZGGxrvLOyyTJVrbYtbRMNmbHk/1E65SyhB8I+xTGn1gnJeeed9AnuRYZAsmVvf1lwyKs3gmA4t65OBokTCe/tzR41CNlWxRO9vh0lxkM+ULdz+U8FuMIAgkOGyezCkhChTent8i0SQt+QCn4/74pXrnX/0T/yqurq/w8z/38/hLP/adpSr/Q79+7r/4Ofzcf/Fz+An8BP7Ev/8n8AP/zA/g0B7El+JNjaHmxsJvXowzONZHob35bZVP9gzAZ9eu3rGhnDDNRcLNifeJYAAu44WDtKF8HrRBMxxPEdXpsYbd2Mnn/WL2As3QoBoq2UIXSSHbQwODT/af4LF+FDN4qEOmizqHS8wpegA24f7eOHZHtIa8f5+BYa1FadlspGEq10hvepyaE0ONjGNq+Vd8fe+SOieWplIMDdnbPfVyI0kW7dDi0l1YmCdLdLbj4RqEuMlvcFfdoRzLXxLh7SURgaZZstfEPJV9STNelCNJqRPzPOJQM/QjDmIxt3iWd4gQO7OTdUikI5liZHHG2NmBwP5du0PXd/KAXGTsCuFYbJZ9iSquJHRnbKm/coZmo5fzl1ikCzj7zMd2zqEcSoZCqBB5kMPG5J36MJFjeSRRQrEwLnv+eTjg0BygZ0SQnboToiDCR5uPoJXGt5tviwau7Lh+m8d80JRDCVUpeWhVYyWTTc8dj10MFSoxxXrn8xeLKl+E+wOl6ipchotgKefxHL3rMY6jIKsGxzRJrzuNdYxBs4jytAfPrE10guviWsgV7dji2B2xTbYsIAeuir2eNlIRbme3QlgZLc0mZVdKkqoFv/9Le8G+26PQDDMw1iAbMlmV9mNPkkFc4NJfiMQaWrxevOakUxmiG0Nq5Vvbyqbidn6LJOEKXzmFxCQoVUnyjqbJ1Rfyla6ABELnOXecwgyY0mGn7UmkuX6Hg6AjfRKmp7z4X8OSOlCoAk3fiCbVgJNvpRQO/QFF/6y79+v7fuSq3yMwYfm9PZaPSENOQ/yB/2rOSPJABXi4PGBX74h8A7WC9Ui96cmeSK/QvMZfzV8hD3Psmz2/XsT7LgsyMaie2zNNiyGNe75Jts5ina+hapIi6rGGqQyJKY4T4Pen9zSWjS1Uy/cj1CHMSC1k3ROF2o6tNDZfRLGNbuQULWBU92P9KCzwPMqxTJbYZjRcBgG1xJFiYFjZl0yHm5jLFjT9JWkigWfe2Oq3AsZSAnJoDzSoIsCpOZFmNNSk0IDTWm+e3OQbPFVPeKweZQvhtcZhyOdoGqZ4qB8oASm2PHyMoWZ+uvcvHbGNvhDyuvE8mYzVGfnrh+aAOIwxOuJHrbWU/3U71H2N16vXWGbcsmVhhmU26Z4dJX/GGhawEXXRrWmxiBZsaDTlBbWpkWlutL5opFRQ0lyf2pOAALyZNwkT2MFiFs9wO7uVjZmXKO07Jvd5KY9TTjTG82SOOIxlWqvA+8lvj3rb43Q5YR7PsUpWSOMUp4ZpklEYSehaqEPJDJglNILBs8enpta/gpQ6cS+rGRUzCkIVUu8f8Tk0C2fCvt7mW6ySFd5f3gttau7miIMYy3TJhj/MURSFbGtP+xOyOMN1do15Oudnk2ZYKQb15HGODBxuXBVXyKOcDUSYYJbNsGhpcPYen7LlFsUTuDrVSZaCUw7vyncYDf0I23yLpm+kkG8GelzqsRYvjd9cdoZ5GQBQdjzLnX2erProdh/ks8k2uJ6RwpSGKTrT4e5y90xeya5YEAYWZVfCGlKhNukG62zNDcmEcrSWz1xP70h1KoOSYRywzbY0fY+DhAHq4tlfAwBvftUb/PH/zR//Fa+jfqVfP/pHfxS/8/f/Tvzg/+oHUaLE3dMdtqstrt9co3c9botb6shHNmmzZCa+hHZgQKHPD1ilK2z1lrSwvsEyWSKKIpH4eG35VXElUs7GNNjXe+zbPYZhQBqn3HJGc/Lop+Fe2ZW4nl0T75tMfqvEwHY0/m5zhg3eX+5hnMFVesVtuM6gHIdIZc+AKB1RmtKMk3ndWYFrtGOLR/eIeTIXb9ylv2CdrvFyThzqoT3I+T+P5wj/Ecrq7+r/+dFHH+GTTz75Jb//R//oH8Vf+At/4bv6wmVfwnVOUpo8GSOPc5osowzn6gxrLZ6qJxoa06XgdlbJCncVb7CFWYj4vjc907ySGUqUPOAjum19wtlH64/wVD/hoXygvm1aSXtNWKTJ9q77GjezGyzNEn3IB+ND9cBVaRDjKuMafhbPaKgMSWLpDNeQVzlTDeWhOtEyNLRol0ZDTbOzfKBYawW9FgVMjKtGBqjMkhm01sDIh5JWWi7SylbQ4DrRB/OMZhTzlDN8rxEQY7jMlpjXc9xf7mlg04mwodMwZRhST8lAENIM1owNyqbEY/MoGjEEkELdawEBIucu/QXJgilYYRhindKYtG8Y4BNHMd3wmsmPgx3YnCTUnqURH3zt2GKRLbCIF9i1O3y6/xRREEkKph4Y/RvqEGVXwliDTbHBU/2E2/iW7N8pDfGquGKjg+d0z8NI89Pb81ssmgU+WH0A6yy+fWDDstg8U1Q6wwliohMgAu7Le6zzNSVIyQZVWOGuvKMZTpEd35tebnI78n2JqkjCdGxmkdmM5s4gwKv5K1zlV6JrPDQHxizbiTcdTfdCxZCZeToX4sIwTgmz0/S0tz2arhFKkHUWh/YgDFllFRbZAi/Tl1LERIoPzVixQD80NM6kYYp5Osdj9Yjz+YxtwYdt2dEAE0ckrpybM5NBB057F9kC74/vmWaXTtQJ20tj1Y89hnHAY/uIl7OX2Ks9LgMnrN5st0yXlJkFIWxjkWmaa3SgsQ7Xgr8SPapl8I03lLVji5mapEx1h3NzRpEUTI8dAa017qt7rron1J7H6XnTX6LZuB7bI9npIGJuk28QqQi7dgeAJujb2a0QO4wzbLYTmqMHM6AZG5yaExnbAPbdHuVISZxP7fVYv0s/4S6nhiMOWPTuG5o/dUBUp7HEinWmQ6pTnNszPjl8QumHGRAmoTQ4I/j33xQ3qIZKjOOrjAVlopk4OE9YpHkjdxzEEhSzyTaSYHwVXuHz8nOkTSryjcGSAR+4ADawkorqQCJGP/YYHRtxX5j3Y4+uZ2hPFPKZaY0V0kc/kIzzWD5yUxgWQj3wAUkBAobUBBERkBjxVD5xgg2+R54VnUc0ap4amr+N4Xo6D3MiIycDrVI0BEcxN7jWWtKfHNfsMMS2OTgM9SBSq5v0BtB45uBPgWDeBOabPK9vnsVMJYQDGdUT6tdP/GIdyzXkded+I+M3X7NkRnLUyMTbLGbAXhZmotE2jtpxH0lvwGmnn8oPdsA2JY0iD3OZVnuwQYBA5Cu+yezGTpqM1pLcc5VdiRHVs8P3zR6nhEZYHxF/6S+cYgYp023TBX/2yS9ijMHb/i1gwUFcSPhCb3tc5Vfk51uecb5w9+QspRgo91Q/4bPTZww7C4nfrDpSvArNwYMFEz+9Xr/qmNr92fEzhCrEdrYliSnk5HQ0I7XDAQOU0iglSm8+/1K947+n/6Fe3wdg/h3++wXAt/4B/+0n//JP4if/8k9+6ff+pf/9v4Tf+M/9RowfjfIsSMJEghIdyEA3xuBd/w5X+RVm0Qz1SD/QqTuhHBhznwQJNsVGtu1FXAhKWoGKgrKlDykCpVWtYVr0Nt8KTevcnUV+nOgEcR7jurgmPcWxiXp7eSsELa00etfDDpZEoSB8TjqOUvSuR9MQSlG1pPHsqp1M+71Jfx5NE/MJAzyLZng1f0WMZrZGMiZf+XP7rgryn/3Zn4UxRn79d/7O38Fv/+2/Hb/v9/2+7/oLe/mBA7XeSZQgDVKchzP1dZOe0AZcR0Y6IgPbdUIFyUOu2u9LHqTWke3tQhbM82ROhvlEHXgyT8/RqfEc9+oeVV/xwLMsEjQ04jDG69VrkWbki1wMDAoKyip0rhONop9+AcBddYdtvsWb9RvBKLnW4aF6YErmULARmBzZnnjy2D7SSHlReDN7Ax1qNJYT3LZn55mFmTj8q7HCzM1kwjaP53zYTSYsM3JKtkyWKDuuuLM4Y4DCyFRDrZg+5TnDvgDQWiNykWjmXuqXEmh07FigjG6EgsKhPggWSUOLpswbo7xGUIPEjMGyYBzdiK7rhA+uQNpNkRc4dkcGq0wOa1/UnPoTyrakzj9QYlLy06c8nqgR7RGH5iDOaL+e0kqL/q/snldj7cD1uYJisXo2SDUPhsEOeKwecTO/QRE8Y+lm8QyNpQRok21IuNABrmIik+qOsgxYHk5QwCJeoFc94p6cYQeHN8s30IqpbHFA5JI3ZM3jORbxAp+dP8OhOUiYgZ8KJmEiBliPZjr1J9n07Ju9cINDHVKzaUbMQkouHptH6p3dTOg73kjnY6jzMEdtazjNwBBP9xiGAe/O76QR6Mceb7I3WCakgfio5WZsECmSGi7tBat8hbZrhYMdqhCn4cTE2nQuE+FdtZPngic9OHCTlITcLHhXe6jJhDajISkmINbMc2+NMWJ6roaJ7pEtBLWooBDZCN3QYV/uuUHSGs44Mdvu6h3yMEcURvQ3GCOoxUt7ESOdMQareCXmri827D690iMUrbOYJ3NkUYZ9tcdT/YTGNDjjjBfLF0iiBGVfoukbXBfXvLcCIlj7jnIr37z3Q4/DcKCuERplU+Ld5R1RmToUOdKpOcFqps5+dviMU7+YSZujHVF3NWbpjKE2UwFpQFP5pb3IvZvHuaAp6546y7meS1LsYAfMUx5ci3iBJKK80CMbh3GA0TyErbUim7POIo5jZH0mn6Fv8gc7aYt7os6uiiuc+hM9GZYkjiAIaAiPOEX/7PQZPRlmQI4c1lg8dNTWe6KW15vOwhkqy80iwKmvn5TFIYkToQpRoRKvTaAD6FEjidnAjONIqc2kT/dNqqecWGtxbs6odU3O9jRtBoAiKoQeAVAS5vW1N8WNSMGemqdng+kUWe4JOrtmJ9eSH5Z4jn5ve0H0hQG3xsrye8vjXJJQRzOitsyQyMKM71NHSVAe5ww+szz/fBLpMlkij3PJBjlUbHoSxWvOJ9ymYYqvX32dElKVSpJqO9Cc36iGMIBJxjdaBj6N44jGNjjV/B5m0Qw9evS2x7E94kpfiW/AjY7PlY5/NtEJOseCuOs7kSh6ZHAe5ZziGob1rMaV6Ok97jGP6Bvy+QU+DTZSfG70pkee5TIMeP3xa3zz//1NPJ2esCgWWGRfPSzmu319H4C/+8v4c78K/+Ci/L//+ub/4Zv4Jr6Jf/Pf+zcxezPD4sWCz8CEid7jOIpEqh1aHJoDQh1KM2QNN21VT3ndY/2IV4tXgjt9Kp9waA4ScBUu+EzvTU/vRnFFitFkIA8CbkXrocaxPgoS1EMp4IDPT59j3+4RqxhzPUcyo9Tm0l5w6A5USMT0CC2SBaVr3QH7ds904MmDEIUcUB3qAzbZRkKIetMDYDNyO78l9rU/E6X7FV/fVUF+fX39pV//uT/35/CNb3wDv/W3/tbv+gt7MX3VVeKqDoIAL5MpFW1iwXoCyDyZox5rmi1diVVGp61PCRtBLF8cxJw2RDH0qOVB1VnqN72uyWOvjDMiuRjGAS5wmIdziYkt4kKkGJ6kEOhAdGuzeMZ1h2lQjRW79EBJqFAzNNi1OxzrI8IwlLWrn5aPbkQapng5e0luc3NB7WqonsZSjxArQpplWtOSoQ2N9+f3OLS8sLbZFjrSEuva217wkf3Yox6p18rTHK1hQp2FRRRFGIdRtKbX2TWyiAatu8sdJ0mT1ms0I66La9R9LUY/T3jYFBs5dOI4RpZkSPpEYsG7oRMyRahC3Lf3bKiCKRJ3MjR5WkjVV0If8IYzBYXXy9fIogx1T0NiHrJob4dWNKE3xQ3DlLqjHKabbCMHkqdiXDrqx3b1ToyjXjfrGeVVV2Ff7zGLZxKsBMWQiGN3xCpdoR5oXvE6YQsrEbr+5o50xNCDbEkG9sSC39dkdMdhjBeLF0wTq4kxi3WMZbYUd7rXzI+WBrEiKQR791A98BqAFvZz3dcS0uI50JWpZIsUBqHITQZDSZDXXpYDNznDOMDACB7w0JDmsJ1t2ShNtCS/sjwHZ2lkwiAUdNY8nQvpIdIRFuEC5chi0xccRURtYRiGWOQLvDu+g+40rhecekRphC7ggXp3vqM0JoyRx7kg+vwacpEueMibDqt0Ba21EC+ui2s8No84t2f4aGfnHEpHc1g91HiqnsRo55v2E05YZ2vYmIeCN//4JLhFukDTNxhBxGqoQ1xn1yiS4kuBNH7V7TXAb49vcRpONAAqK59HXdcYx1GC0fz17XF+XnYxxxxGEdWXKG6knuonkluUpvwtCNFZUqbQs1jc2z0eq0e8Xr5GCJJELu0Fzdhgla0YGa9CXheOU+hje5TGQjkSLlxE/GAapVjECzaggMiviqSQrVtvegQmgIkMuqHjFG2iOWwC5gWc27MYCB+rR1RdhbrjPTaOI952b7+UM9GNHQN3phh7P1HXihrUIuLzx8BwUteXwmEfxkFC3fwQwSqmNPsGvxxKrPSKybITxSGPWXgcmyOKpIAGSQsGRlCR1lrR4rYj9cxxQFSiVVa2ON6YppWWeHifNDpP5s+5EZPEc50+R7A7R0O1Z0Z7mpE3s1rFbIUwDKFGkizaocX17JqFSXvAdUHSmDfWLvMlxorb1SiMhDpy7I7QhlpgP/Uu4gK7eoedo/4eDuKbScKEwVP9ER8sPhDm9TwmFrV1LTACy2wpevb3l/ekpY3cDHu/ls8e2RQbdANjyj1u9tSdKAErIiF4+EHQJtqgNz327R6X7sLgt0keE2cx1imHHFCAGQ0+LT9FEtA75vF+63yNWTJDU5HMhokx3gwNDt1BUkuDIMAiXqDsKdvZvN7g6s0VZTc6wp/9q38Wn/29zzCeRlz2F/zlf/8vf9d10y/n9Z0m41/lz33x9SP/8o8AAP7Yf/TH8PHHHwMdpZw65PZEDVMWSxAIZrB3bCyvC0IzvHz228dv483ijagSvL8jCRPZpDVDIw2UVpqwhJGDsETT2/O+fg9Xcuvmr6V5xOFAGnDjGWuiT03LpnqZLIXcZpwR5OpD+UAvwVAJqjOwAVTEcyNSkQyIu7ETmtNoR7xcvERYhjiUh6/wzvL1lcUufd/jx3/8x/FDP/RDEj7z93t1XYeue17XnM9n/m97homMyEx80fvx+mN2rxkTA0/tiXH1OsQm2tCp21XoXY91vEYURlglK0DxoBvdyKIyznBX3jGmPqQW0ovwy77EsT6iamlc8ut8BYUXc0of/GTMBwF4bSYcsGt3uC1uUQ4ldvUOwzggjmJs0y3m4Ry7doe3l7dYJStZx6/ylWjPtKUmVCJ4J0KDN10Zy4vmErGjXCU0pNU9Da11V9PcOV0UvelFGpPGqZgv04CJoa1rJf1s3+6FEexXjT4+NgoiohinEBe/mszDHOfhLBNvrUhNiEyEMOLE1BuTZslMCuxZwoIjQIBlxoTNPGSE7aE9oB97XBfXyHQGHdI4A0BoJq1tcRWQ0evTET2mcLRcb6c65YrVDYLNK6ICURjBtZzqejJKZMhY7Yeeh3JciDmkSDgpLKJCOt9lsuTDf9Lw+wlM0zUyafXr7Hk8RzM22DU7Fs59jx69fJ4OTnjVcUDaiX/fFsmCxUyy4PrTjdhVOyDnlGybb7FMl8Jf9oQfj7lLdUoe/thQXxpkMMbI9KEbeM0rKJqhQDPkPJlzihTSO7DNOZnzibUqoIl4mXCyGQSMfT+2R4nCfqypT/a84UQnkiZ7XVwjDEI8dSTV5FGO9/V7rJM1zbqdQ2c7FAllGVmSCTM6UiTe7Jodir6QNbyXJ3RDB6ss1gkP1EhHeLg8SGLlvt3jVDOiGQDX8YZNahiGEsI1OEYg+xX2dXLNz9HsKAUKYgxmkNRXT5BIdCIBP57dm0WZaB6bkRkHWZx9qRg31rD5U06i4XfNTqb41llJOZyFMw4I0rnoaQ0MAhvwWg+I5PRIxDAI+fUUGe2rYcUgC62QBdyeVGOFVHEzV0QFBwb1jodiFOHh/EDJkg7xyfETbFJivgyoz22GBst0KXizS38hMWEqanrwnrTG0h+gEpyqE4O8pgFBHNIfox0LYn+/elpFFpGH3pteCu+n6knuEZ9b4TcNOtA4V+SDj2aksRPUyUcBr6U0ZVN/arkRsY4SuVNNnWgSJRjHEcNAROixO7L4dgEbjyCGDS2aocHt6pYIPzAR2liDMAwFq/lUEbfpCQyjofG0bInMGwwN8FfFFTebE+llMAPPuoAyKE8mkVAlsPj2pJm6J5VKQdGY2F54njh6qJquwVNNukyGTCbqb89vxSy5yTZsLA0D1ULQw+AHAatkhVW+wtzOhfr0xS3E6+VrpiafH/H29Jb33zhgHvGaPbfkP4cqxDyeoxxLXHpKZW7yG9l4eXJQEAS4P9/j2+O3hXqVRzx/ooDknWVMmolraQa21uLT46cw1mCbb5HFGd6X73kdWovLeBHJnXEGx+oIDc2tdsDrtm5rbqInrGkSErHXWTZyfojjBz9Nx6wK7+PZN3tuIa3FoTqgMQ3lln1LylR+ha9/4+v4+BsfM9gGEb7xG76Bv/FX/wb+y5/8L79qGfY9e/03/6//Bq/+xVdQtwqta7HRGxjDZ1saptCRppdtqtVW6QqRjp69D/EMh/rwvKFruenyOGkAYipOo5Qys6k59s97bzZ9KB/kmbJrdrjJb9BkjZCpqr5CGqVoDJNvR8UU0rIvsYk3DCAKuY3sTS9hdKPjtsvC4mX4EutiLbLEZcyC3pNWfBMxT+Y46e9BMNBP/MRP4Hg84g/9oT/0Hf/cn/2zfxY//MM//Et+P1BcoyVhInocz0z1KUxhEBLZZYwUx7N4htGOWMdEHI1mlOjgwTLx08FhkdAk9FA/oBs6IODayWu3H5tHCdHwGKzI0KgWq1i0pwCnJs6Q+VrEBeZ2zkI2ZopaFLIwHtyAuqtxG97i1J1owqoPTD3M5uKk/2KU9L7dk0Bh+TP698RP3px16B2NTof6wBV7wAMiDEIkjhMxj9772uprNCVNk/rBDcjCDK/nr5HFGX7h8AtcZ4LcaM/O3cZbMS6cmzPmyVximM/DGaf6RG73SOazdYyZ30QbedD70IjBDs/xy4oFfhbS2BnoAIUmUeHsztjXe0p+bMQCYWSIyVVxBWM4mS27UtJMRzviUB+w7/ZfMtekYYpVusJT84TABdBa49X8leCK9s0ey4Qyh0tPs/AiWcgKPQszwd8F4EaltS02+Qan/Ql35zvUfS2HozeDFklB3enEuraGdJBuZAy5nxBnSSaHcRHRJLrKVzIZa02LT0+fQgeaRtgwk8bDgZOxWUxpyaHhVkR44zqUxEAHJ8WGp/x4EocONG5m5GufWxKJlgmT7jwf2/99PkQn0ZSMJDbh1Dfkgf1UPSFW3Bj4xkAHTLb0YS8+Wt3/DIHmBKkdObm+dBc4y8LUr+PhIO7+KIjE4Oq18pGOkAQJ9uEegxkESdaMnLQHAQuox8sjV/DhNG3UBnXH778ua+zqneBOz/UZKqVhthoqdCMZ+OfmTOxpQhmW1txA1X2NUY8SXnVuz4ijGLEl+SWLmZK7r/d4qp7wavFKnnv+86kHFgCH9oARXPd2toMxlIds5husopXEvS8T+liOLc2OoeY02DjKdBbxAkoTz+cbj0WyYNCMGTDoiX4U0TDvNZ+H5iBaYK9BVpp69MfLI+7PNEWNGEmEAo3G3dAhQIByKJGoBMtiidzk0gh2Q4cR1H/rQNMgGHCLsM233IINFWpFjWnTN/JM9A300NBIP4/nzxIwB2F5B2Ai37E6SmiHdRbrbC3R24tkQQnIFAD09vQWi2xB+stA1J9TDP6q+xqn5oQsYvGaBpy0GmVosNXMoVhki+e0wnAmTfI8notn6dJd4BTNxz4MR+WU+Flr5b7zz81hHEhv0KncN3n8zLj+YgjXaImi8yjLh56pzkHAIVZvelzH13hyT9i4jUhitNPYJBuhS3nWuLZavCmDGxCGTBG9yq/wtfXXSLiZnn2zmFhC3xz4wUa0jGSIVQ70h7VjC+ccVtlKJv/1SGDCIl18ySxtHDcmq2SFgzkIpjWNiLrrxx6NaxAhgsb0XoTcwiyTJU7g0C5PmLCrnBISxuhGEsamRNJmaNhgw+A6v5bQKQTAOmFdkUap+Lmcc0KtsrB4uDwAAQc2zdBgwIAY5Gw/Vo/YNTtc59fMdwjIR28NaSF5lNM/Fzj8xn/2N+Kf/J/+k/jVv/lX48f+9I99N+XX9/z1M//xz+Bn/uOfwT/1O/8p3L6+xW/53b8FLz98SdJRd5Ck48vA6ygKIpw7Trf7sZehwbGjGX1f72WLlmiyveMgRuf4bGjHFm3A6ylwAd6f3+OpfuIU3hl8sPxAzuCH6gGj43mWRilqQ9P7OmEQnDHc6mZhhjerN7id3VJO0xKnGgSTXFpZSer00llrLeW1USwI31CHTKq1A+YxpTFf9fWVC/K/+Bf/In7X7/pdePXq1Xf8c3/yT/5J/NAP/ZD8+nw+482bNww7yCkHGcEEvgCULDS2oXEpGGGswTpfw4JmOEzxvdc55TM6YTHl9Y7OOdxX93isHmVismt2YmiJwkjWkZGKGEvc0XmtEy1rDPkQJkSh50l7x343TlGuOpWJcN3WgtNyzuG+vIcNrKx8PZfaOYfGNbi0F5yHM1fRih+Fj7L3+skiLRhEo8ihrsZKClzvNC+iAuVQihbLJ0q2pkWhC+qf0wJZSCrMuTnjdn6LNGJa32AHMRjBPhdEXiPu1/0+9CKJ+dBFDyzTJZbB8pnHOSX+eWOc3wKkYfocRDNFS3teto91rsea8oJAQ0NjVCPend9JstciW4iEwie0+VACH4Odh5z0KadkqupZ96eWh+0s4jT30l+QRimn21M4jzfaOstpSBZluCoYMJFqBi9VfYV1uMYiXlC6pCh36gynMD79LXQ0jSRhglk0Q56wYBniQdbMPhnPGhpNbue3KMJCpjSLbIG2Z5DJU/NEWcE0Da/Gioc9FNIopSxnwoj5IIeq59p3sHx4OOtE/+glO7N0JmEznvnaDi1eRC8wKcsQhzxU2q6VMI9BD1KoOO5xiaAbR6hUieEv1CEWMUODdKCFkGEcG+ZtvsU648Py0l1I+lERiqxAlmR4vXgt2kJ/j3QD2bOLdCHJpqPh5KPtWmQ6wypfSbBTAMpY+rHHqT1JWM7o+Iw5no9CVvlw/SGbbUcz1thz/b2O17JJ8o2/NRbn8YyZZfLoYAeEJhTOczsSk+ppDd6/UHcsTDrTYRxHMWyOoKSq7Vv0+lnalEVsGP175XnRYRCS0hMllC+NDaoLP8tluhQzVd0z8GNUNAZbZxl0BEMTZ5NwaKFzuY5VoMRsHoacgudpztCh6SCdhTMa7pOlJMjumh3iKMYy5FbsxfwF6oGf1aW7YDQjhnBAqENkSYbCFfK1oCBbBt/83pf3CDSb06vsiiSpoSSlp+X76JuTfuyFJlMPNVGak/lqNNS+F1FB/JkK5R7qxg7d0KEZG8yTOaV9XSsBasYZfLj6kLp4S0162/O/97ZHERTcOFYljv1RYt5fzF4wyCxQaEv+2ntcvObdh/mMZkSsYklj9Vu1/77cyTPxPcmmM0zKDIIAVVfh0B7YOJpasG392KOzHcKQHOYwCCXkpe5ruNAxn0AFsC3Nllf5lRiM45ANtt9KeI9I1VUYR24lfNBXHDCwbtftKNmZqGJFVMj5GeBZptP0nGbOkplsj1bpStC0A8hdt47FmoXFPJpLzgcAvFq8wk1Onb1WZJJ3poMySljpnmntzcllV8oWJokSXGfXJHpN6DsdUL5W9RXPjjjDVXqFISRj27/PH84+RG0o67z0F1hDzrWzjj6jIKR5W0EQwct4KaF/L968+Kpl2Pf89bM/+bMAgL/+Y38dP/J//RHMbmdEEis+OzU0NukGaZyi7Kbp9gS4eHt+i850eDN/A+M4Xfdhfalj+vRgBpGEJobyTH/mD3bACBJ7fJMKRcnUpb9gHa8RhzFu8huRLDlFT0YRF9imW4RRyJrCGTS2gQ6JD97OtuLfyEJO9Y/dEdfFNV4uXqIdWag3Q4Pz6Sz+JwCCof0qr69UkH/yySf4qZ/6KfzVv/pX/6F/NkkSJMkv7Rg8P3ywfMONM1gkC8ziGY7tUSaXkY64HqWVl+EWrkc91AKnrwdKOZRiAp3XYHpu6Kv5KzKXo5QTAcU14DBykutDgvqxf9YnhZw8e624dSys/UPCG1i01gwrMifM4hk1wlNojJeCAJzgvZq/QqhDsosnd3Kqqcf0qMJlvJSkNmMNVskKYUgzzHJcIgxCFq4ZOeM+VjhuGTkdqQgvFi9YABseon7CECpSKNb5Gteza4mG70xHI+JYkzs8oR0HN0BpJZPWQ3PAPJ1DOy3s6kNzEBlGO7YsLiMrHaU3OHjUmzfEvFq+gjop3Ff3iKIIm3QDAIJPrMYKeZijNCW3AkrhfDyLHneVcrq8b/aUk0xd9cv5Sz4MRjq75zFxSZGOBB15Nb8SBOA6IcS/sx1ONakdzdig6zkhv8qvcFVcYVtsJYJ9Fs/QGh6ul+6Cz06fUbKgM/Sql63NB6sP8FQ+iWYzDVOGSUxTXessZpiICEOLq9kV0iBFkRQ4t2eZ0mCKhq+6Sn6GUIWouxp1UItUKAxC0drHYQxnGRxy7s4wxuA0noASkjQ3mhFQwPvLe1JkdEpW67Se13rSoQ6Wht+owKnmyj+LMrRDi2XKrYOn+vhQHt1oaWKvZ9dizqtbphwWUUEc46T/X66XbHgjNh6rZIWmb/Bq8QrbYgtjaND0h6rPMZgnlAp5Xf0222IfsvBfJAuEmk3RY/UomkRjaRAOVED6RRSjaklZ8pIr7wHRWuO+vGexBBoqfXPz1DxxC6JiFCGfDafuxEZves74167eCca173u8O71j42ZZBGaaqa8dGBTVjZ1ohlMQo6cDHm5eM68DjVznNIJO5JNEJ3i1eEWGfneW7dAQDEhcIjp97TSKlISSS3sR46gNrGiQ/cRqk2++1LR/sPgAb/CGMdjtBUFIjfF1fo02bYVl7wkikYoQhXweBCpAN3QsNFUIFSgWT1MarN8qWceo8kVC1rQ3OiZRgrEfJanUc9s1OEyJw8msN5IVfOkv0LUW1KG/blfZCt3Q8X3XDNE69WzYkyiBdhqzdIaVIrJvm235fE9I+ir7kk2CGWWjGwQBuoCM5GqohJHvMXA+Mr7siBi9iq7QGcrJPE/c8669pDEMQoTx8zHdjZ1sTaq+AhTTptuhxS8cfoHNgh2QBvzshoDFoz8TvXRDK/qefIKtEIvSNb/mdAb68CEAIilMw1Ska8fmiEt7wbE9Igoi3MxvxN9jYHCVXQEBkaIWFpGKuOkCB2N+K5cEidCH8jhHBOIkPflkZVaoTCXR9ZGOkMVs2u4ud0zdDUO0Y4ub4gZBEOAXD78oWRBwEJ/QYIhWXkUr5Akxd5GKRFLRjPxzo51C86bnmg+56scey2iJozviOr3GerZGfyay72uLr+Gz02fCvQ+DEOfmjM49f26h4xbFp5Yi/eVWXv///fr5/8/P4wf/lz8otKA+7LmpiFORdZUdDcD1WHNTM7IpncUzNqkdMZd1VcsW0CkOKy7NBZf+gif7hKfmidemTjkMgMaIUbwGSUgDp3XkzC/TJfbVnmnB8RIucegNE9f7oZezIHDcMo+WG0HnHLHPHYcqX998nXkrkym/iAuY1pC7P5mcx2H8yu/hVyrIv/nNb+Lm5gY/+IM/+JW/sHNODDnN0ODF/IWwjf2DP1axcH6zMMMm39BoObJDuvQX4R1rRU3c3eUOCgq381settN/9xgcABLRXCpixq4Kopn8AXPuzyhcIVO8QAWC4fOxyP1IGcksZlevWy3RslVXMaAoW1PnOXVfCorT/CBG6+iwl/W6tYjCCHEQIx5inIczXs9fi6m0Hmr5fnx8821xK2tZ76Zfxktxli/TpeCv/JQuj3O43knkax7nwMDJS46c6+IvpFV+dvoM2tE8tMio3/QIqzRK8VRyaptGjJWFI1bRY4U8OaEZG/mMWtPSwT6tTt+d36FqK2zyjWi6teIkMo9z3OAGh/aAp/FJoqX993dqT1gmS9wubnFpL5waTpKLx+qRD89sSepOPJcVtY/9PrdnBvUEESpH7W6kIpHfeDMwJrRTpolYsg0bOb+e7saOB0iYIUz4IFFQ+NrmazhUXFN7g5ak1k2TO194j3YUr4APphrNSO/A0GJbbDEbZ9LAenKGN4B6j0GgKPO59BcxmPmp1qE+yNefJ3MJcOocNyChDXE9u0Y9cNvhJ6SeEeyT7wIXYF7MyerXRDM+Vo9c4X2BtNH20zakCGTr0xoWXlmU4evrr+PcM3TlqriipMXw3lhnlKl4H0fQBjjbM+IgRgU2Jn5a7qejTvFBu9R8T4aRWuR2aNH1nTSKaUBpgE7o51jlK1zPrpFraqP7sYcJjDDa/Xs4mAGblFSduKU3ZZbOZLLjEatN35BdPaEdvUwkUhFa1+KpfcL783uUY4kiZIiL0ors3TDFAG6CZvEMi4ibvWN7JA86uGLDkS4wjtwuvi3fkm9f3NIQmfIz9s/Bx/pRthgvZi9oTgeNV565HamInN0JYZmGKekWoLGqVURKVn2Fl/OXTGDUWsydQRAIRrNICuyrPR7qB/K6w4hymaDFeTgjG4n8XKZLabAGM8hWMtMZSlvCttQV38xvmPVQMck1j3LqTW1HfOgUeuULrEQzdEkFSkzlrWmhoHDsjlKUXeVTgnDIqbpnYocBzazbfEskX/UoGyBP1lFKiT9pxAhtCSE4tAfA0tgcBRGMNsgCFpYP9QPvrTaQfA0fDOdNyt7r5Nn/PmbcWCMa17Ir0ZpWtlMeUxpEAcaR0d6H5sDtasD3wYwG83yObbxFqEPBhPpMh3k0x1V2RYPnlKbqNd5VzwRggA19PdZEwwWUaR2bI/n9HQ3o1VABFtgutlCW7+cyXVJiMBnpvITDb/gGO6CtWsRBjOv1NbqBCapJkCApEqhG4X35HtezazFWVkOFWTKTAYT/x29ETt0JyciNrseYLuIFm3PbQI0K82QyAOoUi3RBj42O8FSx4fb4Ta25uTXWoHY1gQ4h/SxJlMjwTYca5/IMHXJogBDAQMJLh06SxT2AoVgUX6qN/tif/mP4d//1f/cr11bfq9eP//kfx2a5wQ/8hh/AKT7h5YcvcVVcyQCmGRoJ6/HG9tfL18TvQmGTbbg9nJIvL/1F6HEaGmd3ZtBQuYOFFVmLAeW+dct7xTqiK+OE4W4erbvMl7g0Fwlr836GJOCgIo4JCMgjQkF8fdKP3NK8LliPKaWwylZy7y2SBRPl3cDk1qb5yu/hd12QW2vxzW9+E3/wD/5Bdp5f8TVYdsPVUKGICgnoMcZApUpkIO3Ah2gRUX+mAt685VCi6RrkOW/oXbMTLFegAjyUD7I2zGJq/3xcs4ODCbjqag1XyFmUYRgH1KbGMA7CB/asVwcnfMtAsYsqu5JdNxwOzQFnRV2u1xSuszVW+Qq7ZofAssloTYs84aE9dpTTlEPJ6QuW5GUbkjSiVYRVtnrmUdcHTvgMyTAepwdwchIiFIxaN3SiMXaODuQiKtDGrZjQZsGzobTsSqhAid53m2+xMAs++McWr4vXMlm9DBfhkBZpIevI0YxwikWHn2x4h7xWGqEOcWyPKNsS5cAJ05vVG0lPi3u6lW/yG1nxOeckynxwA7q2w67ciSbPM8edoRZ5V++wyla4Lq6Fna67yWUdRkiQiJHKT3p0oMVMuYioxT23Z4xuxG1yK+xUDQ0DFmm96XF3viPpRCe4zq+lQPHMWa2oOb6eXdMg0l6wa3YM0VAK9VjL+zhY6tOqvhIjSx7mGAPKMIq4kOAfn5qmQB1rORLh6DcW3pC5SBZCWQmCQKJ/Bztgm9MzMEtmssb3Gnp/P567M5xyRHyONK9VfcUUvyki+9SeiPRy1FTGYSzcamd5HflgiENzAALg4/XHlMtMYSirfIW2bylbmKYhq2iFPKX73ofkdJba2ofqgSz4MMGu2YmL3qc2HusjzvEZN+aGCY79icXRFB4GA7iEjO3GNohVTIf8lNqowWfPYAd0rkOiaN7q+g7xjFpyWAbjYIBo/H2KbDM0aAwTQtuRJI48zkUPqwL6AQZHU6FN2Ky50cEqolt722PZLzGfzfFm/YYNwsTIHseR/OdJgvHx5mNkSYan8klkff458Hrxmji9mF8bCohUBAPmLJQDw6hqU2MX7DiVdwrH+ohjfQTAFXM7crP2evEaraH23a+er/NrmTIPZhDiRzUwTExrjVk0Q5ZkcAObXw0tzaZvdBwcYhfLOlhBQWuNRbyQMLYH94Bzd0Zve66gRwejORErEmqdVcBCrzGkYmjoL0kVfHjWaEbZWPVjL0bNdmyxSTgcKAfytTvT4VgfOTAJYz6/XIB5QlZF2ZXQgcbFXLjh6yss86VIRqqRsgcvHVE9kbKDG5AECTeuUxrgPJ0LxWUwTBf1JszBMIlz3+3lPeyGDtVQYZ7NcWyOJGe1fG/vy3vZaPmU2zRIZQoYB7GEqs3SGaIowjbdijxstCNCS23/PKG079ydadYcK3lfIx3JM8PLQHzOQ6SZ4njpLpSROCWGzSzmuWsdJXt5xKHQaEYssyVpWNNgYRZTHuVZ1b7hSeIEqU4lyGlf76XoT8JEAqqOHUMD8+z5vQ0ihm85OJyHMxZugUW6gFYarxavcGh45iYBk4WhIDS0VKdi0M3CDFZTkraMllAzha6nvGeZLuGUE6kfHHCuzpilMyzSBcKvhfgP/h//AdADWZGheFng1/2mX4dPv/Up/sy//Ge+co31vXh9sZH4K3/jr+D7ftX3od5TW+9DD/32K0sIH2gcayh/piQ2kQ3NOlszCEqHUJrP2BH0jcQRz3TjjGwfZgnpLFFAY/p1fi2DrUN9wBAOErA3z+dYqiWarqH/r6qxypnCO4/nktTqQAXAy/lL/r7pRHIL4EuY1DAIEaXR3+ed+eW9vuuK+qd+6qfw6aef4g//4T/8lb8owLXXPOEPXVuuuMZ+Qi2pCFmSYRgG7Os915shDWYe/5SGqZj66oE4RB+AUcQFCR6za5y7M+q6Ft23n756vXCoqO/y8a5JmODV5hXm6RwP5QPj1nGSVEfvpFVKYd/s+WHpmHxwsGiph5qawCm2OdE0Z+pAw/SGfNYoESqDTyJ0ltxjH3CgAy3GulnMyeiuZXR2a1rME3KqnWOx+qVJGID35/dci0/x173tBZ3mp2Ne9rJMqbm8imnA8CSCUIdo6gb90NM0Nq120ojvf2xpuPOszt708tmMbhTpUFM3GIYBzdBABUq2Dt6wFukIMGz4lFLY5ltZ+/koezfyoVn1Fac4luiwumUTdeopUbnSV5KO6vFgp5aR10VRCNWgHTnx29d7VF3FSflElvGJhb5QqHpKqPx2IA5jSdJLwkRW0sYa2cj0lk1XrnNOStQzoSCOuNbzOv3a1OjHHlmQIQop46i6SnSm82QukwQfN171FdFpcYEwCtGCwUDVUOFrq69R59mTBoAYOLXk8i7j5XPjNpFRFgmnQpGLZAoXBjQwDmZAZSo0PQtNX7A2Y0PJxdBwAprMaI7puEqHBs4Ni3rrLLWhyYrmK8eV7TqliSpZsnnUgUaiErjAiUGt7pnoeWpOwt1PwxRJlOCzw2dMu52mz9tiiyIqcGyPDCVKFkg1Db/n9ozdZQelFWPagwBBF6Cx9HOokH4DL21xzsFZh9vFLQ71QYgm1lL3f1PcSMy3R0B6M6/fJHkMmiDqJiKVb7LTMBVtaRiGcMbhsX0UDn6sYxJnUhYRXk5mLFn5Xk7wKniFLMpwqA8SjuM19HmcM95aRagMJ46X/oJDdWDxGzwfbAECMpt7SOgKwKLco/i8bjmLqJkcLbG0HpX6UDJzYbA0kvpsgFN7kq3XaEe8P71HEidIgkR+v7MdAhcgzmPkBTefu2aHbuxItJqK92N9xKE/0C/gMil0jt0R82wufoRFxGnouljL1i3WMTrT4f5yz01eGGKbb3Fuz7ir7jiB1iUKxcmlZ9nbyOLz8+d8NsAgAnGlV7MrjHYUud88nmOnJ9rS2ONkiVr0xZx/H+ueOuSXs5fyvE2jVPwd/ozKo1wK5HqohTXvz8PLcJF7dpNu8NQ80T8UF+htz3A3BMiyDNVQ4e/u/u7zvREzYRNqSgIerejFfeaFT9WOdYwWLY7tEft6j2N9ZHMZzRiypWPEYyz3KBSBB7N4xo04KE1oR3pz1ukave1R2xqH5oBVthLMsd8COuWY1hrwLPm+zfdxeJUvMY6jbCzO7Vn8ToMZcH++Z2qmYhhUgOAZHTy0xC8mTFbVWqMfaCIfzCAerjigjywMQiyWxO/C4XkjajjMKcICnaX0qDOksgSOaapWsdFQUNjkG1y6C/b1noSiSZ6klcbNhzeyQYQDVh+s8OHXP8Sf+j/+KfyZP/7dFeWXX+E/91Vf8Rjj9fw1Yh3j3fEd9fXOonWTURKUALkv/OPxhkmYCBRins4FvZzHOa7B7Yn35GitJXywMQ0bfkf5VZEU4tPxZLKyK6Xx7E2PeTRHpjN8cvgEl45yw1N7In4ziLGKVkDIe/nYcUu5SlcA+Owrh1IkhN7H81Vf33VB/jt+x++Q6OR/lJe/6Qc7SOHmV+6hCkXHeOwYX7tMlnTq9mcihcYWq3gl66NAcQXoD20fO55FGSOS+xaIIQWjR+HMkhlCTAZDHQkkvu5rXPqLpEoukoXoy3b1TvRJgXpOLPMPRSnIDKcCvuD1EyovJzm1J3w8+1iwWH56okH97fvze1nXA8Cm2OD78H34757+O1wlV4g0ncueq+m3A14icn+5Z+eoQ+ieBcFVcSXa/CzggerpHNt8iyIuOBUYiS+ax3N87j5HO/ABnwT0A4xmRGkmc+xEvhgcw4a8ntCboZKQE4zWtpzyGeKpxnHEoTuIsc6z551yNJBFOS6W0/hzQ+5327P4mkWMnm7GhoiyjjfMOPJaerV4JRHucRDjZsaYcL/+9T+315hZWGqOQxpFIx0Js/jufMd02HQlxIEgCPDB6gMmg05G1SzMpKEKI+oWy75EkicwylA/mcyFkJNGLKb29V7WXF3A6dnRHhGrGA81UX7rbC0pdFmUsfgbyF/2WMgiKuAKh7vqDmVHPbTfknSmwzJeMtBEh1LQe7Ojf0+8NMM6SgXyOMfT4Uk8DUmY4MX2BRuaCbU3D+c49keRw6xzYg139Q5nnLkdghVs5aE9UNalQ8zdHJGLYAZKw+bhHAiAS8uAHy+r6qpOmsciLlDqEu/L90AAxIpyg6Zv0NoWkeJ9HGnGm8/jOQ/nIMSAAcooJCnpMYEOEI58P7TTSKIEdVfjqXmCVtQlHtsjirDAKidGcDgSY3ob3yIHJ9/KKlSmoixrKuTXOXnR5/6MYSQKUgfkVQ8jJzXrfC2F8L7ZA5Z625eLlyjSQoYHnonu0z/jMBYMHcABx3VOyc1luIhh2tOD2pGDi1zlgAOlPbbHdU7saBiFzxsalaAfKPXyEg4LK2QUMxpsiy0JGulKcg18k+5XxKMb+byZEvLqocYiWohMUWuunH0Cq//5rLU4tSe8Xr4WHNnnp89xaA841USKxTrG7ewWJqEf4Oeefg7LdClNShkQ57rNt7jJb3ivTZI/73/xssd1shY5SAA2v4MZcDInKeZ8BsEsniGNqIn1wVKn5iRhRTcJtzJXxZX8HB6/tiyWUJZplVE0bT+HFqfmhCJmauy5P3NSHNMf5cNryr6UdF0NDRuw4PUgA19kevnPJievO1TMrqj6Shrnvu9hI4tZws+zH3rSY+IFTv0J5mBwNbuS7aFvYC7dBft2j329F0PoYKlRr7pKsJyX/sItn06hY57DvqFbZSuahoNUkrdn8QzDyNAn5xwu7UUACmEQQkcapjNYpSu8mhMi4VNBvTSxGirMIhJgPjt+hncXFoC36S2yJMOu3qG1LZIhwWW80DQcTWeB5fAmDmOsshX1zJNhM9MZwjAU07LHT84Hkn9CFYoZNnCU+D1UD3gxeyEet12z4xk/SRRfzl/yHBlq+RmTgLknXlsNy4b4X/i9/wKuX1zjvDvj8d0jOnT4r376v8Lu7Q5v3779+9ZW3wJDf75qUuev2Cshyz3VKcIwxHV0jVkyQ9u3uAwX2ULPozm3y5Ok9dgd0ZUdboobxKBxUqsJuez4GczTOSVKU5ZMO9CX1Tte2y9XL7FMl+LjCcNQsiqSKCGPf/JoqIBn3jKnj2lf79Ebpnp7XPM4jng7vGWtAcpy85h1XtkTt+zlmt3w1VNZv7rm5B/xVcQFxoCGCQDCiE3DlAzVocGx4ZTL6wuVUmj6BsYZcsyNEfNFEvJhdFRHCc0w1ogx6ItpaZGO8GL+goSVocKIUdaYWnF66k1JPjL11JGH3hliztqhxcerj6UD82ERkaLZ5FSdUHe8ua6La1wVV5QejIW46E/tSSb+0m1PxlGtNHbtDj/3+HPCq/VauVfzVyjiQmQ2fq3fjGxA7i/3sIoPzKaf5A5BRMKF6ZEqYslqS3byPJ1jFa1YHFjzJa2gf4h4LXIzUk+qlRY96Syh9OXcn6kpHypha1tnsc22/PfBYl2sETQM9DCBEQMdFGA1D5myK9EXPdKA0o5maPDYPKLuaup7DXFty2yJLMxoikKAOIpRtiWNGlPjdTO7wTc238AiWYjJDIAcqC9nL7GryJX3q0rPWh/sgFNzwmfVZ3g1f8WEuoFN5CJeyOFtrIEeNYuFSWdahIXIfyIdYZttSRCJ6Oj34U3+QR0GoZh6VaAYNmUbQVHuSnKxlSJNZnCD8LtX6epLRY0veLxkqzdEW+ZxztCaibiRRRkZu0OPOqhlozCYAdDALJrhqSfH2DOyfex5EdN42hni7ZTlOvHN6g3vkeqMcqA++tSdMI4j8pDSo3ZoZVLuzam97UXLqaBkwyLpkBglYjsNU5RnkkqsJarv3J1ZpAZs9Jfpko2HcgiCQDS9t/NbVF0ljWsURLCBlefFrt2hbEtc5VcIEGDX7tANjKL3DfVoRlRNhX24fzaBahI7dKBxaA9YpStu0ao9HstHzJIZOkv5i08gXadrmkttAGssnHES0W6dReT4LPHkJa+dNs4IEeeLrzAIuQIPaEb1euxmaEQCMYI+hbabpoQTHcDj2IqowKk5Sby6J7/kYS5TTqcdzGhwGk6CzwuDEEPLIJpVskKURxjcIMWkBovvXb1j45UyMTfSfC5prVF3tRh1e9tL8IbHkkY5jXWP9SPmGQ/kXjNJ0XPLgWcs4Kv5Kx7ICvKeWsvPXIVKEH7nnlLEeTrnYMX2IpdsxgabdINIRyiHkqEjk4fHI0xPLTeoaTRtOxyTk60jbePcn0kRspTQWVgsoyUiRbnWY/VI/G26EqTq0iwlkGYw9H9UQyVpzefuLNs7b94dzIBVtqKfCGyCrSJSse5r5EmOsRlR2QovkheoeyInoQAVKGIIHaj7j7jBHhxRwofmgGN7ZHM1pVaPlg2mGQx2zQ7H9ija/R69hPbMsznyMEcSJTSz5lfEYE4yVc9W39d7IaCpgNkOnnYyJqOkfXp6WjdOSLy+FYDC3eUOl/6CZbx8/j4c9d274w7lyM+w0Q0Cx/fIy6M+Xn7MBq64YaM5FWznjtpzgJutwRBvd51fizzLb+nLgV4ACysb2E26wbE5yibCT/QHy3CwcigpQ1ukiEMGR3lk6KE94KPf8JHc/8YZ/L4//PtwVVzhb/7M38Rf+8t/DT/113/ql9RX/9iL7X/I67f9z38b9oc9fvb/+7N49eErSXhepks4y/wKP1zYjTuafxXzIsq+5KawfhTZpdLMTuldLyZMpxylXiBqVUFhEXNwGobPuF3Pn/eBk6EKZdjTGw5q5tlcpKazdMbgvckA7yfgs2gmRJe7yx2v5zDGNtuS1NUe6RMw/yMsyPuxR+u4uho6Fj5OOdElXjqi3bb5VuKtl+lSnNerlA+yRCUIwuAZ6K4jSkemieGxPXJdC67UBzvImtyHESgoSc07t2fhP3uj3d35jt3rQHNdENBd/1A94EbdIIszWd96FBWy6Wc0rRTt1lmsshXSKMW78p2kY+6bPequxjJbIpknCB0fOstkiVzzILWW0+BNtsEm20jBOBgiwBbpAkPNVe7oKJO4GJqz2rFFkjLWu+orPFweiCXzE1MVIgiC5wjsSSt4aA7oTIfXi9eU7kwR9HFAvW4WZ0hUIol0j5dHlH1Jfqdp0fT8/Hxhbh3lKGmcSirgaEbokBG1zdhgHs1x6S44NkfczG5EltKZjqupMABGblg8WzbVdNo7RcnQIlnIxGgYSfHxMiNrrcgskjCRiXGoeQOHId+LsqfhN1KRSEM620kA0iJd8CCxdGFnUYYyIIrNBygpKKxSOvllJRfSqOzgMNMzDHpgQuMkg7DKMmrcchNxbin5qG2N3HJ1XfalNIVZnJE1PfHm27FFa1rs6z2yhImm+3rP1WygSX9QkRQGm3wjRRoA0fwnmkau3pJckUUZJxUBdaupZupo0zei3/M67l25w7E7wuEZpeaZzADwonjBKVMyl+3Sw+VB5AQApJDz26rRjjCGB//np8+JdItmqEfK3ZqxwRxzJKC8qx1aXEfX2OQbZFFG/XxPv4rXRFvHOOfr/BqbdIP76h4wIG9ba1nTb7KNrMZ9lsC+26NDh4/UR1gXaxybIwsVzdX0LJqhGiuSWOwoq/NqrDhJ15rvq83o0I8dZpiJDrYbO3Suw6E6II1TPPVPeDl/yWHDxLX2LOgvvhzopRjtKGg8L4eIoxiX8oLLcMG+2kMFJFfN0hmspVxola2QRAmO1ZEF+PTsVGAjXESFBHT0htHlkYqwjJfi+ZglM3yw/ADn9ozPT5/z/TYtlOP3mkSJYOj6occYj5K/oJRCprnqf6qeRLbnZRoGBsuMm9A0mIhAsYU2NFTCQppeP9jwxiy/9QPI9fZR283QiPncaHqLAgS4r++FvJFqBgudOyIWPSrUGivPFeMMw38mrvipZ8OioVFo+mzCkB4jv53z8i+tNIwh/nCVrrj9G0i+KWKeY1VbYYiI5GvGBqeG24JxHDEOLLRNY1CEhWQhxEGMMRqRgjpnpx3sYBllPlwkmCkMQjkLi6ggwWYylHamE+pZovlcqrqKA4HpWT1P2Mxcuosg7LzXaoUVlFY4tScxq9vBMqU64OfhySmbbIPOdrjKryS4TYHNoW98jGPug7GGiN+YEsV9sxdEbOc6NuIAHptHVG0Fo4ykB8dRjHqsUdgCi5yx9nHI93WwA/XOrWNCMoA8zPkZTEGDgQrkOT9aDjkCBPj66uuoxgrvz+8ZuBRlsIHlv6sMynFgcu7PwrwOEdKfdrZ4sXhByta0+TaOMrmyI6XsKr/Cptjg0l/w6/+ZX49f/8/9evym/9lvwo/+iR/9lSvOfgVeP/2f/jR++j/9aQDAX/mZv4Jf/at/NQIV4LF8RDM2QnTz0sAQIT4/fY5mbLDO10iSROSuq4xywyAIELkIN8sbkTWpQGEdrbHMlrjKrnA9Y7DbvtyLP2ZwE5lr2nhmERHY9VBDaXqtAMj2I1BURMySGR6rR9meG0ukp9/kPVQPeDV/JR6EfbPHw+WB+Nav+PqeFeTvy/cYI2qsnWVoSKrZyXhTUp7kLPhg8f7yHg6ORfnEyE5DuvedcaL9ASDyFuMog4hVjCKjaa0ZG3Fnlx0nN1bxhoksww2yOEPZlHJIeVd5OZRwzmETbVA5otR62+N2foskSCQ+3JvVQh1iG26xyTZy4wIQbePbw1sMboAx5I0nmqEvuqcmapttGXFcX8Q8ZJ1FYANkaYaZmkmCWBqmpEroAdVY0QCnmCp4ak6CF6pbBlEsQmorg4DhHmmYYgzYhKyzNVzIB6E/LIqEjUZTNzLZCroAOiOrtWxLTgi1xk1+I5rZMAxFL+4nNfflPTW+mKZWoyVmcGzhsudQp7vLHRO5oJAG/KxDHUooiJ8SnZuzFOyxplPaT+290VMrHtgVKiFfFLYQPJ6XT3niQD9M6bHK4s3yDb6x/QbiKEbTNTi1J+zKHfIkp2TFctIvaa5grHiWsHFMQ8qZrOU0JosyuTa9CdBPn/3qNMKEjUxYdM7DuXBx9/Uej80jNw+TrrEbOzFPln1Jc6RKoGPNVNqhQjUy9fV6zij6S3/BMqGeHAEbyCikIcXLUzKTibHaF4HOsbnwU7hmpCnG9dQKe+OoRxr2htHJZTdNp6ZNjj/Qnk5PYsyx1gqudBbPZALrI7G9JyBVKRnUwxmZypBpGplLlMgVp7nJkmEkWcjm2wcopRGnKZeO24V5Qr9AZzp8bfU13vOwzzzuCVe3b/ZyiGYRQ2jO/RlKs1gtxxJXITXXp464wSIiDu/cnWkGdSAlpqsoywpzbDIesDfZDVrTAgaAZuhJYxqYzsjUEKAOueor2QJ98eXJAHmUcwtpR/E2jOMocpJ1vkZrSbO5v9yLXC3VKZAwCS9WMSV9mgXDLJ5hk29wX97j3J5phFWh6Ch9ym2sSShwyjHJ0LJZdM4J+WiVr4SE4QuxUJMlH4b8elVX4XZxCwU2IX7ytIpW0NCSnjuMz6FHxhmiUTUlY845PDaP2ClO5r3sMAszQYhqrZGCtKMAHMZ41Op1ds3Pst5LoNixPXKoE2d4MXuBaqhw6SjTyMIMXTvJKabgHQPiGaOQ6YKbdCOoUK01rvNrrNO1DAGse8bG+om5T5D0UfbeRO+vgbIvYQcW1GVf0iQfTpIvlWN0o9BSUp3CBU62qyrg9etjyw2MYCW9F+C6uMahPiAEh0VJRCa0b/bm8ZxpqpNhPS9y8UecOm4Or7Ir8e+kEdGL3sBrnZVnZ6pT5HEuMjpf8A5mwFVxJc8dYw0e68fnrWl7wK7ZoR1I8lmlK0QqQtd2DBqKY2AAAk0J0jpfox5rPJwf8PWrr0tRFQcxrgrex9685/MUrmfXgAVO/Ymfx5Sj8XLxErt6J437Il3g0k/M/cmw34+9UEHm6RzjMOKxfhT5Sj3WiIIIHyw/EMLPoTmgazpsss1zEFZzZKL4NEj7DT/wG37F67NfyVdd1UIOm8Uzko8m7Klc4+Bz6qa4wTJboh1b5CGlZYt4IZLeTb7h9lTRt+KbtlW6ouoBvOddwHPqixJPo4gS9fkj1hCvXPY0aB+aAwJN6fNoR5RtiVNzwjydS4rw4NgQFxm/f48nTcIEi3iBc3xmzsZXfH3PCnK/XgAIkPdhDtVA53YapUzT1IGErlR9RbOZ5k2yztZiONvVOyZHphtqjCbDqI/v9utEBdIturETvXc/9hT6a07nzUjjktYafdvTUKOo09zVO8peJhNU2zN1sB5q4RhfFVeYJ3NBRY2WqVGxjnkI6JBuc6WwSlaCPDSGa48synBb3AqyrBxLqF7JBAIOuAwXvJi94ANjCmRYpDSQrRMGfvh1vsdnzZIZetcLt9PrKuFAt7+jDtyvIr0GbnQjNYKWulAv7fDJgl3PyXFnOuGq5yEDREYz4tScMEtmeH9+z+lts8e+4oNP62eJiE/ai8NYWO8aGp3rxFCZhRk1imFCQkB7wV1zhyIsyCAHudLeJd0OLfqhl6S4LMokgKQcSsQBi44gCJA6Fs5lW3LC63hTr5KVFKJRGCGNUhybIzrT4al5wjplqE07tKjGCot4gev5tciPvKwq1PRGREGENEhhNFdtfu09i2diEPZJnN1IVnIcxSIfupndYJtuUZmKDWDIEJp353eSXOY19mVfokiJffMpsYlOcD17xopFOsIyWyKKIiyTJVrTil57MPQFeB2sDwnxWvNjfWTjN7nah55r9HKgKW6VrWCcwfvzezxUD1jGS2yLLS72Ivf5i/kLbnvGQagpXiYVBtwieZPZPJ6jUhWams78fuyx67nyDFwg0/0Bg6DVPH96kSwYVDIFic3imWzcKlRYpSt8vPkY1VDhoXqQjU4UEIG2r/ZI4gS5zvFy8ZLF/KRlDIMQL2cvqQN3NN/lIaPi0QGX+gJtWURaaxEHsXxtBSWmWj0yFTiKeZ3BAi7g1Pm2uJVmpYgpBaqHWqaWfursMxC+GCKTRLz+r4orND0boqZvcBqogS77ErNohoulvnaZLCXrwMGh7muSrnqaj9fZmobhKa+h7Et5hjrFz6XtW6RBihatNJLd2NFfMZ0BURjx744L2VSd2hOank1e2ZViqvYBbT50qRkaSrwm7OIqY7Kpx5z2ls3JuTtjGS+xKTYSv/5YPco03w92VKAY8z6ZmdfJGp7gVY81rvIrhC7EZbzgac/7fpMxCfOD5QeCH50npKp8a/ctBDpA3dSwxuLUnfDB/AOiAKHw9vIWeZhjna0xDqNIHNqAfo004nQ6HPh+ZQkDSiLHpjmPc8Q2phwsIZ6wHFhExEEsGEuP5vUbk0t3QTu2uC1ukUQJ+rEXn8lgOQTwG8sgCISKozX9HGvDc9dZ+lW8RyiPc5jRQIca25weA2MNOlDSOYwMijt3Z7xZvME8n4t2fzQjDAwTVyf5nX/5YUkWZSLn8AOmfb0XzX3XT8FFGNj0ToFo5/aMWTLDuT9DK26BlgklbU3X4NgfUXd8vl2H17xm2rOEWYUqhI040XfO4TJeBIxgnRU5rDGGTXhc4IPFB6j6Cp8dP5PzrO5rDMGAVbrCZeBn0JiGW9AJ9PCufAcAeLniWaYDjW22FUljoChHcs6R8gTgGy+/8aXa6j/8v/2HWG/WONwf8Id+/x/6Fa3bvsrLhhb35T0u/YXp2cbwvIhCqSNushu0tpVBiff9jGak3FJTDrxMliRJAVjFK8wSBrKpQEnokg+wCoIAN7MbCeAr+xLrbE0p59gKVck3c9VY4WXyEs46fH75HKELsWt2gk5ONbHXavpnlszQmY5S4kk18Gr5Cmecv/J79T0ryCMVCS85DELY0eICuo6bgVPI0TIAwkeSLpIFoIB1uhbj2WAHdEMn5iEHh1N3ktCSeTzHPJ2LARMADs1BWKTt2Era11P1JLi+WTLDu9M7rrWignri+kQDy6Tl85quXblD05I4YayRCX0SJqIB9qbI0YyChvpg9QHNkV0pE4JTd8IsnJElDI3a8EHxrnyHbcpwGi9buL/cY12sv6Sj9pO7bqQ20BeO82QuF1OsSZKIA7LV27GVaXUAUkCykGFJGEhr8fHWsJAJr3ZaZD+JptQmjuiS9itXazlZrHc13pfvBX1kYBhzH5Cf/nr+GstsiTykRGeezLHNtnIQr/O16M0HDEQfji3lHsZCR1o0vs5yKj64AcnIkI9NtmHoz8Q/H4YBve0x6EEmNL6z7UwnRXPjGoRRiF21Q6hDXBVXSMIEn58+h+oVbnJG0femFwyX/yy/OOEBwDRWBYm198QaKIiG2Tr7HE5gRgb7tGesFIs/AOLkto2lJEsHghVsxxav5q+QxzmOzZHvXbJGkNIslyfEikVhBBMZ7Ks9lumSjawzyOIMwRhI0FZveuG1e63uLKLW/PHCDdGrxSvR4kZBhKviiiztyXy4r/dsfAcWoAECMZ9FAQvPS0Ujl+ppestmmUwG27Fl6uo0/Ts3Z5ybM1SoZDroMwlMzzX2y8VLUgsmhnoYMIyjNz0WKfWBOtB4qp/QjI3oA7OY742PYK77WjYPKlCIwPATP322zmKRLvD+8l4MR2mUAiO9ELFl87LIF5hHfA4d2yPJJHrO6PWRCaHt0DLVNF3gdn4rW0BBw8a5NPiz+DkIqhkb8X54iUoURIJfjYII5/YsB9w8mxP3Z1p0Iw+UbuwYfKJYdHncq0eUJWEik3BPmuoHpoh6meEy42Sp7VuUQ4ksztCUDZ7KJ7K9J5NcGqeUfw094iGWwcq55fXjUYOBCii9mCQTznHrc2yPmEUz+iGmYCCfLpyFbLzSkMOLYRzwqnglmvV2aDG4QfxEi3ghn6PfZO3qHdGbyQo/v/t5pGFKvX97ku1coSnd2Td7XOfXWKXPZsAs5vTdWEZ0v5y9JKCgOaI1LEjzkJ9loCdqUxRj6XhuyOCor3GqTwhnU66BobfCo3Z9w3zuzijCAnEaI2xCPJVPGNzA5NhhEFmTN6f6YjnUoYQAWUzJovMXRMYGAYkvAZG/KlCC7UtCGqJ9yJA35CuoZ6rF5A2rx1r8DrWZfp4pSTEOiaD0m6+kTyRMx7+kYLcshk/2JEMHTy5RIEKyH3sG/YUZGkc8o59MR4pNhdcGxyGlcbOYhfpgBqRIJbF5na4l1Mn7RHzj4nMrPBYvDVPsm72cm4EK5F68Kq44wLCKTYllQQ4FPF4eMZgBSZjg9eY1FBQaQ78UFNjsT9NfWE7rt9mWeNhpGKGUwgcffYCf+a9/BofjAfPFHF//xtexyTf49t/79j+2+u2X8/o9f/j34Pf/gd+P2w9v8Qu7X8BT84RTd0KIUIzCD9UDVvmKZ/FkdK8GZqb4rZoPFPTZJ8uUAYme1mQsh4Je2jQYDnBvi1te25P0OI9yvDu9wyojnAEAfYSqwna9xS/sf0FSrtuxpScsgMiooiCS7JHBsn6A4sbTy6O8Sf2rvr53kpXLewRDgEN7wKUnB7UrO7nYVvkK23SLcihRdRVXYBPJxGup/WR6la1Ec92NHY4dWdejGzFLZsIgV1B4wIOY3BYRdcAaLNS8YerckhG6ylYke0z4vaqvcK7PsIFFGqRIE06AFRRKU0qSlwWNQ74zNtYwjMJy4rNv9whVyBTLmM7/fbmX1a7WGuMwogxLPJVPqEfyWb0RBOBKuexLpBGRbj4Z7ra4xaE94Nye8VQ/Peumhw6jGhFH7OSKtCAD1vDB7eUDPta47Hkovr+8lxS3UIeY6ZloR4uowDpdMzbZBeS0TgX7aEcxGl26C9eZcUqpSxAgatntBkGAZbbEMlmSZxxGCBwPqjiMcWw4qX6zfMMCvL1I+NDb8i3sSP12EAQ4dSdOahIedkVACUkcxQh0gKeaDVce5kIYOHdnKKVowjSjXlkdUQABAABJREFUaND9RGalOSW8jNR5H1uaTuqxxjba8iCbgo58yp1xBo/lIw95nQqvd5bMECOWtD3lFKUe06TOWIO3l7dYJSvRt1/aCw+8afXv6T0+DTZUIS7NhVjQKBEjnp/snHvG+saaSa4eveccw0e+mMj3xcl8O7Z4f3mPc3eWJMKqZ0z2XXuHT06fIECAjzYfYZNtoAKF08MJd90dXhakCOwbGho9E3+Vr0QG5Av2szmj7HivFjFlZU/1Eyf7MbWU54byCB+IUg4l4jiWhN7r2TUW4QK9o9k3DELcFDec6JpaVufrbI11tpaD2xoiIwczEEMaZgxoSRdY5kvcdDf41HzKRl85bOINZhnJNQCNcIMZUHUV9tUeAwas4pXQFnbNDqZm2m4Q8JreJBss0yXen99Da04S05Emaz+NzxJucZRWQDBlIUzbkjyiHEcHWoqZU3sSfa2XP/kIcoBN+fvLeyk29u2eG6YwxlItpcjo7ITAjCcO7zBpXUNO8ZOIeEKtyfUuUsqBvKZ3EfO+0YFG27dsnNozjDNIQcqSVgwSctZJaua7yztcm2vZvFVDhWWyRKKJ/9OKeu+n6km2pT52vR8ov+lMR33p7IbG3mmjCkBCPrx22wfJGUd9aQoOJY4DGyUNboT6safvIC4kSyHQ/GzDMMRmtkFvnrdvfppc97V4VJbJEteza2mK7qt7CbB5Wbyk4Xkydiul0LseZqRUKVSc0EU6QhiGWCVkJD/VT0zfHcmr99+fp7sMZsChZRhZGIeyZdOBFrLTJt+gHmsOoaYi0j//ABoP5/FctquP1SOHDWBInUfSDYabrT545rgXcQEdagSO4S5exhLpCItswqsGEU7tSQKDAE78/QDGGy2NYyqqcw5BGMhgLdYx9s1eDNUhQtR2+sy6CoPjNjALMvTg762zNZbxEjfFDXRIE/EQDlCjks2x1w076xBHMYcnYLjeqWWegW9yB8thjn/vPF2t7mpJQ/Wm2zEYsUpXeH95j7v6jlCFocalu+CjzUd8dhuDvmMS9Gk4SQqrsUZqJBVQOhhrauA98e4b3/gGE6AnU/GpPeHNx2/wt/7238Ld7g7n4xnrzRpv796iqRs83j0iiRKUdYk/82/842Gd/5b/xW9BfsPB0Ggp3XGRg9PPNDjnHJ4uTxhy1iHeSwVF3KgnwAVBIOF+s4QYzVN3EgiADrQMbC7tRSSRHkXrQ+oO3QGbjL6iRUwKWz3UOLfMkNk1O3y8+Ri5YQ1xaA64r+9xo25wldCrcOmfa4Hr7Jq+MpXI5/1QPnzl9+x7VpCf+zNaw9WcskqwSrWpMU/nuMKVPOC+tvoalFI4NkcUSSEpXe3QIo+oVVNOEe83PXSGjIl3rxavyFGd1p7edOLT0fwKWLiS0+pMK42bGdPhfu7x5zCYCfA/HVxfnLr7dbBHo72Y0bQGQKbjkaL2L1AB7i/3iALGSYdgB5fpDCpQWMUrDG7AU/uET06fQGuNN8s3LNrrPQ7NAaf4JOSLLMpwM+PEruxptILjFPXV/BWM5SS6bKnBzaOcKLhppe2xVgAk5bFzDJj57PQZ3p6IVtqkG0l49HIfb/Dy3Gn/4HqsHmXqdHe+w2PJm3+dr3lIT4mpFhZt3wpn3TNgX8xfMBlVM0Y+jVI0YyOhHOiARbbA98ffj2N7pMO/OoohEyVwO7vFOl0zkGGi13jJRqACWMUDUEMzWjxmrPc234pus0gKFDETxoIxEBPupb1gk2zw4fJDibXPItIPOtthGJiyWB0qpHGK6+KaBUaYoB5qeag7UMdZJAWuo2smxU7xwF63rAI+hBfxArN4hvvqHp8dPxNEpJdzvFy+pME5DoQmEYexTAAX6UImxIMdhAwQBzHagbq6RbwQr0I3dgwymeLIrbPoQxayve0RIcLV7ArLZCkNzZvVG/T7Hvt6LxO0KIgwBAOiKMKu2on+vIgKQbk5OFzl5N+3Q0t/QHuW6OoojMSXoQNuO9IoRdu3QuPIkxzRSJrNKlvhRfECq2yFqqswS2cy2fOJnr3htCtT1Pl7Y2prWjyUD4jCCDfFDSUL1Y7plslcUkmDNECiEgnqijRxclpRWrVIFhjdyNX3WFOe57h9OfdnIcxcugsay3TWWTTjShUWh+6AWTwTA7uXHfgtnw9kObZHvD2/FdaxDzDzhaI/sEIdInPEcj5eHrHMKB1aRsSxZgMnzHmYS8MbhRGuo2tkUUYT8dgiCIl53Td7brvghJ/t4NCMDRbRQhC2aZRihZVkQPiMCE/NqkZOkiOQoOJ9FD62+tJf5F6JNVGPieXP5SeUURBhm28FOXlf33NLN5Ep0jBFO1AOEihSs7zvw4c1md48p//F3CBaWDG9d46bBOssBgyMAzec0q7zNSVWKkSjG1R9hTzO8VH4kYRZaa0xSxm8NRr+PKtshWN7xKE5yFbp3BHvmkeU641uxKE9MEU2zkWrWvc1gihAHtCTEYDbwUt7QRRGgnw7d2eRaF26izDNV9kKu2oHG1v0rpcp37E9orc9Pl59zIZpZAgUwDPFU0/end6RPOKAVb6CCpT4uJRiw3VoD4gQYVNssEqnIYOmfMzrpi/dhYmXk3m3iAthfPuYe+/l+qJc0Q/VDvUB3dhJTsO7yzuULf0MiUoQRRFylaNDR2RlwsYwMQnBEIdHrGLqj/Mkl3CiWUIU47k7Czr5oXqQRtkHTBnL4Yvn/I+O8tRDTZxvP/SCfE10glNzwvvTe4yGRvplxibm0JB1X8QFdeYjB4OhIls7DmLWSlD4YPkBi8d6Jyx63wT6ibvf/t9+eIvVqxWcm4INb2ju/s3xb0YapPj0258C/8ZzXfYj/6cfwfXVNR7uHvBv/e/+rS/VbL/3D/xe/LW/9Nf+obXdH/nRP4KPvu8jrD9Y49vHbwspKNQhoijCMA6iSlhllIN6lOHby1s0XYNyKEVpUA0VQ9kShlj568U4g7YjCclLZbuhE9+MJ+B4sp7WDOrrRzbn83jOegA0myqlsM22fAZN3plZNBO0cW1ruMpJTkioQ+RpzoGZ4qDUN+Jf9fU9K8g/P3+OYsYwgVkygxq4osuCTJi97dBik22wLbaAA95d3jE8JmIH+FQ/IdOZYGr8geRXdB7Q7ovxuq8lNt0fXL6z9Vis1tBM0Ax0W/sH+ibbCPoLAT/4h+qB05GogE74wAUmbeTECNeKEeWH9sCHbXOUNXxQBcIZbh3Xx2k6xVVPfO1ZPMND/YBjfYRxRnTSWmmc2zMeq0e8mL+Qw/Fy5rT0Wl+jNjXO9RmzaIZFTKNkGIRickgiXjgBAjzWjwzlCfgw9frr0Y1oOjqhkyTBMlrSmKEU+buGxVwcxEg0p26n9iRry6f2CefxjI3eoGmp11MBJ7RFXGBsRzw2jyQ8pKvnABJncO7PODUnSgiGDvfDPdfeYYZttkWgAry/vEfd1WhDGk2to/bfhzdcZ9eY5fQAeE5tp4gm8g8BX+g550SylEWZmKzSMEUapDj2R4yGgS+bfIMsZhEzS2aMzp2KZM9bHzGyoAY5zvtmL9OdPOTaq3RslLzRJdEJ8j5HOZTQVgtWKY9z1GONt6e3vHfiQoyr+3YvfPssyhAFkWi3/eq1HmqJS2/HFmVbSvrefXmPNKafwK+My54cZy+z2TU7jG6UeHF/nfsAllAxaOTl7CWT8mCwyTf8nJNCDs3OspnzhbgvzDznfLSjEB2eqid8bfU1STI1jtdsGqZC+YksDYGBJg0kjmKiFEfGk48YYVs+LyIdCeUm1rH8e6ACKWAjHeGxfGTAluMk54PFB+hdj26YCgXr8L58Tx0qnhMEe8PDt0hoNBrsgNa0UliVXcl04q6SLUYe54i6CHmYY1fv6FHwjejE1PZTnHogUWYW09R56S/4xd0v4tyfiZubJkJQlEn9/6j7t1jbtv2sD/x6a/3ex31e11p77b3P2QdsQ4jl2KVUMBWJ8MArigSUlAdIqYgKoiABDwiQSqKkssUDKimRCmRFGEUxD0ZULBRkqR4CpCohwlKiSEgV44PP2dc115xjjmu/93aph2+0/zybGMLZFTiq6QeffVtrzTl6b+1/+b7f927/DtfVNW6rW9RDjeeexsYkTmT69GrxSgI7sjijvv9S1AUqTqADTW7Cc/ssnoFmaCQtdLITnptnSi5Atn6e5Hgzf4N6qvFwfoBynE43QyNT8FezV3g1e8VzxnZwo8PrxWtBgeZxLrr1kMz6avaKjYsjKWSZLrEsqSV33mGlyfeufS0ejslPonfvxk5SGr0nEKAZG9zP7ym/CXHpxuA3h9+Ezz2UV4ACmdX5jA2+n6A8n7sg9ZnchHNPRFqsiMIMjOR2bIWcAUAkEYHyMHkOBV7NX6Huqccv0xJ31R319JcG1nrKkw7dQTwxs2ImGR4hqbQ1LZb5kpNyzXcankVQMNFHOkIKDmTCuTyZCcfhiCLlPVHFleD4OtOR+gU2O1nCNMVw3ocE3hA6l8QMYFFaCcI4PKdxFAsNpkzLF1PnxT8SEIOhidZKy8S6mzrxF6wyNgSDHV4Qv/oyHXWDELYmR937NE5o0eLZPiONUtwv72n8NpRfztKZTFXfnd5h22zlXJqnc0QuQuc65DbnJHbSYpAPZBkAYnpFxM/eaOKVG9PgqX5CkRa4yihBCebmWUp5zFP7xAbqEuQWpByP7SMWxYIDzP4Mm14kPZ4bVwcH7dikhhyUbbMV6ZfxBnNFQMC22yK/zfG3/5u/jXiKEeURPv72x+Ll+9f+zX8Nv/mPfxPwwCc/9gnmr+b4w//+HwZG4Hv/0/dgIoNTe8KP/c4fw5cPX2LKJ8zmM8xuZyI9DmFcsaZkMFc50oTbj0BzqyduSGtT46l+wqk7ocj5eWwKIkd1zHwT6y315Zft1Xk8y6ATIwQK4uFx7I7QWkuBHIZUYbMcJKIhFXxV0s93U9zQ2KyYcLvMmaC+PW/xwYrSolXBrWcZl0IfClIWfHNP548Qe2hHlJ4SkefumdOGKMIm23A1HznhQHrv5UAO2q8grP/Br6DZ/UFnOgCRCJRpiWzImOwXkF6eCZnGGaLX4gR3sztZ0acJQ2W889iPe3h48rE19XKlLiXR6al+wqogsso56rjXxZooPGgkcSLpmofhgMfmEQoK62qN6/Ia1pMsssyWskp/qp/wcH5AYxpsyg0ZqNlc9Mr1WGPf7vFq8YqHNfjABgzXIl/gStNE1Nse9UApShkz5tgYXoSBohF+do/toySZOjh8WX+J1bCCKQyuy2vhLU/mB6bOzsmhcjgfYCeLdbbGdXqN0Y0sxqMIpS7ROcZar/IVTsOJiDLPNWfo/KOI0+F5NhdqjgWDhcLaPOANP1x8yLCIH9ha9GOPWT5jdP0lvTBgpII8JyRVStLm5ddfZAtZ14Z/NpoR62yNpVriprrhutZOaIdWdPNxFMvzERimgx2Q2/xrz343ETuYKq4eQ0DEMqN8pzc9nrtnEhkUV2fnga79dbEGIiIR4SlpqIcagx6EeuKcw/XsGlVWoXfEZsYJp6XjSO1vntDMlsapFH9PzRMA/poK3AoEEk74NcIkMmwZoijCeWLAio40ettLLkCkIriJz4WFxX1xL59TwM4JkjCjtGyZLzG5CY/1I1rTSkx8rEhJMdbguXnG6MmQDeiqYAiKI2r+T/qETbEhscRbwAHKKlk3e+MRp9yeWW9livtm+Ua0sft+L8X2P9n9E+y7PQ25k8Xe7vlcuBGv5q/EQG4dw2QmOzFl0HNS47VHqcixPo0nUhkuhXAGegjqqUYcxcgiToFDgReQnsFo/enhU3x6+BSn7oRlye3LZNkAZDrDEA3C1/aOCbfOkGCjoJjWOZyRdzQqhSleP3Gtq7RCHufYt+T9BzazUgoPpwfq2DPK1zBxszjP5sj1C8c7Bs+OUBQ+tU94f35PiVJksCyXYiwPl9yu22E0I+Y5TdnhXM/jHPt+L/IVRDS7jmbEwR8YvKb5vQEQiUTwhQT/DEDs4nk8wwxEaR576prrqRZW/jJfypbmu8/flQZ4lswkm+LUnXBT3QCKJt7REg7w1DzhNHIQEhJ6g+65SAqsyhUpSp7hIlHEiWuYrgWTb/gsg5ywmzoWABe5zbE70kh7obfkCdNrF8WCWM+Wd2gzNch0hvvqXrIVtuctjDKoYm4gA/0p1jG6kRP3QPFYzpeoh1q8JO3Ijc9Hq4/EyKsnjWJRYNZzSLBYLzC6EQ/1A4dcupRm5DycpdA2ziDTGZI+kaTkgMjVigOJcBcGCWQo6CPw55YkiQwYVukKLnVi3AuG00254dbjAjqAA17NX3H7dikYi7QARhbS225Lv4GdoJzC5CduEvsz3izeYFWsAABFXCCrMtSHGv3UI01YnyQqEW/E5/vPKXkrN6SHpCVuy1u879/DwiL2MTblRlJAQ1BhprkJcBHviXBXPrfPqGJqoMPGwlnH9NiLByHI1uIsxqE7UGJZXom599ydJdfl/u29YErhIf6ENx+/wceffCygg/Nwxv2H9/xnv/0NrstrGXx98hOf0Md2MXj3tue02ho+y6aXraHyipQfy1RpZ0kHihxTX0NKdJVUstEq4gKbaiPn6+enzwEPvF68FoxtCFoazYh3wztsqg3y6MXjkCUZkiGRuijUaYeOpt56oukziRl0ONiBwz7DYK3lkkmf63yNNE5lE2GswRANqFRF78r/DxmoP7KCfJFdVuiOh1iECJtqgw8WH/CvFQ/UY3986fyjCGVaokr4jTu8BL0MZgDiF0d2oEe0I6OG8zgX1m3Xd5Li2ZseZ3MWiUWChA9R/lKQDelA5E60ES239RbXxTUPsziVKVIzNQzLSbneDCFAHowJr1WNj+OP8dnhM9iG8dfw4FS34wc52AG2tzh3Z+yHPeq+xt38DolKWKRMLcNg0gLzZE4jaD+T3yOsKmMVI85i7FsWDsGcAgDH6ShSmkW+IELLjfjy/KVEEBvPCW8e54g1pxndma7wN6s3cI7yklgTXxQ4rSG4JE8pjRnNCDc60U6GRM+wUtJKox1bfHr6VKa2mc5QpIUwSGPNR3WZLtFZhhOFgIoPVh/Ag0ZOa2nqu6luRPuaqhQ+8rIxsc7ys7rwxZVSEhFtrIGNLGbg1iVWpD4YGOHXAjTgTW6i3hAehS7Q+lamM9558uCTUp7v4PDetfQLLDIa58I2ZTKTJL+Gy8N4g3N7xrvzO/EehDXeaEYhcVQZD69MZUQXRpfnyFvclrdYFSsGwpgecXl57S9bg7AtCkVFP3HCX2YllKPx+nngNCkk2KUxp/zhMNx3ewwjzXfH7gilFD0BKkGe5Yw0T/i5qohBOEG6oL2WyOg0TiUpMWyUNtggyZOvGbwiFREZeJnCT44XduQjzAq+ewGROrlJTJjWW/51UqE3vRR9xhkG4KTli3kroqHosXlE5El4CQSOVbpCNzB0K5h4V+WKK1E7QiVKjKPGcbNgvRUM2iyd4dAcUKYlDdzRJT13LIjtU8T2PZ2fEMcvWyEAQjR5f34vyL/QOOZxLvHOs3gG7bVQrLz2sNZi22z53meLFzSsTvFl/SXGiRi9gIo8jtTNBjbvPJ0jWfL5845NAjyEEtPaFsbSD1AllKcYa5An3DK2Q4s8zVn4Ol5m224LpRkWlOucJuCUW8vJTNK4BInVYAdkSQZjWczVY43H9hFvl2+l2QrnygiupyczQWeUrAQGvVIKp4lnSxpxs3IaTi+DHW9RxAUqTVqSsw4DBpk2hjX5tt2iTEo5z1Sk0AwNOtNhaalLjhUNrcGnlCc5yojywc/Pn2Pbb2GMoSZZ8z3OdEbjmjco4kKyEIL86s3izYv0zVMLnegEmc5w6A4SGFamJeYp0W1P7RMiFwExsE6ZZjvYATHoJdFKY1ITDt0Br+avhAqkNSPio4xTQxUpFsURCTfWWxS6wDpfiyk/6L/jKMY8nYtkKLDEzwM3M++b95LmGcANxhpsyo1ss4KZ+al5YnF00asnOsG5O2P0RCGrmEO2yEfMLWiescgXuClvsCgW6MYOr5avEDlOkxPNs7JKKBU52iNBCJ7vjLMOvSMNJdMZlOPzs8IKqU5xHI6wltvAVFP2EyRF7+v31DSbs+QfqFhx81BZ+D0HgTfVDTbFBsfhiK/2XyFPOHn/ZPOJZGJEaYTb2S2b+eFFkqaUkuyVRDFfwhgDaDaBZuK9fp7OMDXluM3YSKL0siS1pBs5JQY4SQ5nwuQmgQu0E2up8JwmikOW0Y3CCQcgQVZlyrCxdmppQnUjSl3KICpM0GPNRi1MmdcJB07X1bV4N4J3JvhYAqI1ZCIECUk/MsypGXgPxQUHSmFLfTu7lQY5DBGNY+p4MBc/d8/cBBkObq0ldnadrfkMdk+4q+5QRtwMHqcjhyDpQCPxZbP4Tb5+ZAW5il6mb4tswR+0ZlJYlryg4kKyU2c7SUPSSssEJKDrmqnBYAaEAJZYUxc+Oh7IiUrksArShODCD470IiloJBrPYjCbCk6it+0WH68/xqE/4DfNbyJXOQY/vGj0Lvxr5x2xPJepT1jNh2IMYFc7T+eyggy80jIuEReUlHx5+hK7ccdLz9NFPCUTrLKIRgZ6vFmyUz8NJ0YHX3TYk2NYECK+XHmcQyklU5Sr8gqP50dMdsJVcYVFscBz8yy81KeaGtOAEZvnc3QjdWzva3b1x+4oFJlgzsjjHN56zAsWLsGAGdjRsY6ZQDl1KHSBzvKFLHTBtLnhiKviCqlKcRgOOA9E422KjRSnzcS49/2wx6pYMVxFFzDe4M3iDeqeMbZvFm/IIG6fqC9WCd7X72WF7Y2XKYuDI6bxgjNs+gZ5nAsVI0KE1/PXmEpe9MfhKBP2TbHBttviMB4wTAPuZ/ecZPQn0ddax5CNZbbE4Ei/0ZGWdWbgCofnM41TTN0kOK3B0sz37vQOjWvk4K3SCqt8hWEakOiEMoEqx0fLj0QWMs/muJvdCeVhkS9w7oncCmFIgx1kSqzBkKbRjDi0B7KzASkYtdfobIdhHPhZXYy323YLXVKjd1Pc4GTIkc5TNqzhQPWe6/84jiXJtsxL/hnCM+QvRihreAE45hU4z9V7+LmE6f4PmqZvq1umw5ZXkjsglBsVv/CWFdeYX52+YuF2wVHqluEzAVMZ0lC/OH2BTb7BMmM6bGta6EyLFjwYitfVGiqiwRigtC3gLHftDrthJxPIwQ6IO+oUfcQJ7uhGtHUrwVPWW2hHwsOhO1DSckmeS2JuyEpPiV2iaYr6wQsoIB8DIWWdrzFLZ3h3fofzdEZiuL5NdAIzGSF3fHX+is1qxMCwY8dU4eBDuUvv8FA/oJka3M5uscyXstYPIRyhYNJKYxxGpvUlpbCAVayw1EukUUpKykTD/nFgSFww2XYTi4WA1ouiCKf+hDzlUCY8A4OhzlSSUy/Yu6C/f1+/l2CaZbYUJnnIKbCeMe69YagZPCO3327eQkPj3fkdnvonzPM5NtlG0k/rvkaqU5H4zfIZPkk+IToTTmhDwXS2yldYZBdONTgIOnZHdAMTVW/nt8Lx10oLwjfRnNxFSUTeeTbg/fm9hHpZWEmI7EwnzUqiOY0PMpEiLWDPVmSaVVyJ3yGNGST33D5jdVqhtyQcLfMlw8fSAm504hFx1tGLdZHOlXEp0hetND5cfIjjSDznptxQLnQxp1tPCk0TNdIcBjNyERcyVFKRQjNSxvZq/gpfnL6As/y5NiM9CK1pkeoUV/GVFPzH+sjEzoufwFjeZTrSgKbZeZleEn09Q4DqkRvNNGbjN0wDIh1hGAfUvuYGsO3h4XFX3SHVKRYF0yETTblWgEA4OBRpgeviGlfllUjDChTIY9JCpol3dSA7hbRhXNCpWvPP/lX9FQ2g64+xLtZiIA0c/ZAvEMhzzdDgNLG5fGqfuO3QF475cKCJFBbKK8EvAhDG++Qm1mI6E79PGDhkGU3/x5Ebmm7sOHxSROruQV1/50i38s5zkDmc4D2HhnmSC7GrMwQiOEe6ndZaJKQKSlKDQ90YGuVAZgpyz8mw9tm2HDhYw+eiUAV0olHql3yS3vR4f34PFSmsypWcj4jAYDXLMLckSUT5kKe54FZHM2KMOVBSkZK8lNGM///JIZcwAP8DeDhj0JgG3dhhmS8RIcK+26MZLtKR6lbMLoG/HVYYQbNWZcR+BTRXOARDmE0aUzvaj5y664Ss8cY10oEFp/cyJ1cWEUTnGqbyAQ+XF5SrdLbDUi+xyBY4dAfERQztNKe2FzRYMJV1U4fRjfh4/TFO/QkP5wceCpewhoVaCFFhllCvnaSJMHid47o/TB0srNBeUp3isX+kxjYu0NiGelDHSzpWMQNCLhG/UNS3daZDMzUkV9geetQiIeinHi7iRNPAoOs73JQ3LDx66rSMvUy7Iw1raE55bp8ROx6o4zQK7tA4gw58WdfZWrYYy5whNZF6QTM+NA9QkcJ1dY0ECZ7bZ8Zr5yz6E8VLa5gG6parjazrrLeCvgsXHHB5qa2VRESlFKIkovHqkuZqjMF22iJgp9I4RT1S6/Zm/oZaPWiSNtyEL49fokgKrMs1GdH9UfwDzdBIoxRSV+OIVJRASwkJjEEvabxBoQochyMbTedxVV2RrKNzmN7IerAZGims0yZFCjaHN7MbmSw671gs+QiH8UBGdJzzUr3oJr3zcIpF2Dyb84IaaizzpWgSLTgJs95ymjhRupTpTGgzox15sCtOH7TVgqN8qB9ocNYK62xNooj3SKKEh7J3eGweaQjUuaSFtqaVaf4smUEvtVAhoijCOlvj4+XHosfcFBuhyYTVbx7nxJVdjJXn4czAoZSXQ9BO+ojnQGC3h4apnmrkPpfpbzAPBQ36c/8sBcwwDeIXiDUNWM3QwBluiqCBQhfCvF3my5dgGTDB7jgcMU/nWOVMWf3i/AVKXeLD9YeY7ARYyDQ4TGWXBQsQMTxezjxlFW6SG2Q6wzwnivXcn5FHJIyEoijTGZ7qJ3x3+11UWUWTr4MYhbfNln+egjQUCytmbhURlVclFd7X7/FweuCwQydohxaPzSOO/REWFnflHT6YfyASMx1pHMYDDa8XyU4YZmhFv0wwxsWKxqx+YEhPwI7u+/1L1PolWl1HGvNkjlkyw2E4AIBQRUJzkGmGz4Ui6Nyd5Uw1zqCMSnpNYsoqekOEbTeygPaRx1enr5CoRPTbKuH3dBzos2nGhvhDreXzHMxAQyBINAkr/G4iRSx4fAAONUY7inwnSE9CymhIkT73Z6aaXvIdZimZ4gDEk5TohHfHRWY3ulE8U6t8RYOwjyTxFYAU+fOEemz5M2Ekecw6JCnvGQuLx/MjZSC6QD0R6xs8KmnMkLjwWVpnJX+hNz3xdzGbunqoqZO/bMJDEE+sYyQ+eQkWctyIZXGGY3/E58fP+f5dmrV6rLEqVkwmtoQZXJfX3DCPRzw2jyIJihDh3fEd80kMAwLDhPy+uhejbZmUuCquhLITkn37iZPVkO4ZzvdwL5z6E/Ikx211K+dlggRP4xPWxRqxj9Fa4pXX8RpVTq/deThz+3DZJDmQuHXu+PeLpIDySn7NcRpxVVxhna1lgx/ZCPMZG7xIcwBQ6Yp/pssm/Ll9ZnBfdAlCAqWliWaq7Xk8cwN7Me1HeQQ/eLnvbu0ttv2WJJ7LIC5R9Poce6Kjw/Zkls2wLtfki1+ISr3psS7WlKhehkSLbMH/7jLcGg3hAbt+hw9XH6KferSGAUQqUlgUCyivcOyOMKnBUi8FlBDu4Txm2nSoRx9ODyLpO3nK/aKJYUV3FWXMeczzf9/tpd489kfZwF5X1/h+/f1vXBf/6DTkbsQwcC0ERUZzbWrYzkq62WniGv88nTHDDEXKCOPe9khtSmwgICl7InVICiEMAJAOr0w4KS1iuqZb08oU1jqLszuzWw3GwouBZrKEzTcRp/DBSBMuZgCCIDKeB5iOGPNuHM1cvelpKvTs6sIKK0wew8OeKpoi26nFbXkrqzMdaZnuzhNOeSY/4dzwIZ4cjTgRiGKDZ6BPYIuPdhR3ez1yxbNMl6JbrDLqZBFB0tXWJadp4YAOyXqBs2qckZdq1+3EHb0uif/LVS7Rt8YZ6Inr8zzJUcXEhHW2w/PAteIHyw8wmAHvG5o3V/mK5tb+wAnaRTPcm16IIKeOxtYQkR5QXFppPNfPnOBf9LFXxRWMM/ji+AW+OH0h8qfAh923e0otqhtEYEjIZC+8UQNJIgwx8SHuuYormabuu72wqEMsd3DvPzcMGIk1zWrOOgYUDbWYeVrTSpzwaTzhuXnGvieqCY4bj853Eg9f95yupEmKTblBpjLshz223Rbn8YxZNsO31LeQqlQkIMHQus7WGP0ovOdEJxI6EcKCUpMyFAQau3GHeTKXw+epfZKV7SJdYD/teYnka2hHhn4zNqJFDRxy4w2ucl5krWlx7GkgixTNWsZwIh7rGFnKFWU/9uIjyVSGj1cfS6DUYAcawi+BIoMdZMIStkshaU0rLcmmQcalwIl9b0htUZGCmhRGP8JMTAl0nqz9eTbns3sxqTVj8xK97hy27RbbdotNscE8neOL4xeMW7+kc8YJp9Gd4eUf1sTH7ohFvpCgqt6QIFXEbD6DPGOwAx5OD0ShZiVmdkYOf6zRjdwiLooFmokFdlhxJ5oUEwuLc38WTXQURZiaSb630HQppaS4y6IM7+p3uAeLkfNwls3UdXktZr0qqZA7kkKMM2gtz41MsQl4ap5QxYxlT2MWYGVSItXcsjw2jySmzK6QpRmTXVNuVoZpEApKeG9COmagrwyGkqkQAx/+DLOJG4oqreQs9vBC+Qj4unqsScgY9vCOhXeRvCSMhmGBtix2w6AmVSlqy/ulGbkhKNNSDOOxirHv91jmSxq+vWX4WM8GxFpqy6+La/oNph5TNuEquSK7uz/yjPI8i0K4zmQnLIoFqpiBZ081zfGj4XmVl7lshUJDqiMNYww21QbH8Qg4iCQpi8l476YOb5dvRV4TR7FM/7qIpJ9AWAmhUkVaoBs6nNyJpCRNCtGQ0ggdUneNe5H+JVHCrc8lfCrIB4IvY6bJ6A+G/8lO2I07STJdpAssiyUOLc2tYZtoHP0MOtKyEStimvMC3945Npg6Z7J0n/b4/uH7bDwmGlfzJIcdLJqpEeNyN3WoMkqYTsOJ29Pla9E677odHuoHRLg0NJ735eC4lVvnazy1TxLIt222uKquOJGOgNviFoMbcKpJd5nchMTTl1XExISOZvyaZ8Z7Bt3tuz2st2iGRn4OM88wQOU5xQ1epVTzPrDOQk2K4AwA83QuxeqxPyIfyOAPEjLnHE6eJvLBMNUcYDbMrt1RznsJeHLeYVNsUGWVnD2pTnlW6wIo+N+FwVhveqZpWqY7L9IFz2KlMJiBw5OLP8t5NknGGXx1/IpbBXXJ+PCRJNsG711IXK/HGs3YwMMz2yZdSHNwN7+TIDEPNlRvlm8EShA8PfDcfNrckpgXJxLCFjyP3/TrRzchj1LkGZFTg+GFmalMUtOSKJF1/DybY9/t8d3H7+L16rXIWUISYmMarLO18MjDBRG+8pjYvM50klQYQiIynYkRbbADjDGioXLe4W52h3nOSfu22/LiSnnQLvOlHIA3igzt0YyiczLOYF1Sp9dOLaflsCJfaccWox9xW93KQesjpuLlSS6JfquCU4t6qHFX3nGFaQd8vv8c83yOj9cfy+pHOK0Rmc3BcBAuZxUxMS2NUyKanJX47T7pAc8I9XYkozYA+Rc5J//KKVR5hSqr5M907DkFcobyozIumfaoEyQJi7y3q7cYzYivaq7CVxnlRE/1EyeSivzzMO0wkcG+2xOndSkg8jjHMl3iMPAiU1oxnt6vJLnVWcfGaRowT+eM2o1zWSsF1/Tnp88BC8xn/GxDGqF3XhIPn+onaVKqhPKQcPlPdkI7tYhdjEW5wFv/FsaS8x6m+yFtdDAsgE3EyUyuc0nSDOEaWrGwHCz9CtZbeE9zWawZpGGdlS1DhAj9yGTQKqqwyjjBcJFjWl5E41OY3vvIs2ADfQujH7Hrd+RZZ0u0Y4ssznBdXUtYVhzFqDR59VmSYVbMYMxLFLszDrGnf2DfsZl5PX9NE9AlwGfw/N6v82tJvF1kvEijKMKhPmAyE94s3mBTbLilGVtpUMNqNxRgalKIs1hW+OuSq85jfBRZWthwxSqWtXae5JyUO7rzG9OQe+udIM4mO6Ez3NxMiphTq6w8l6GYkGjxCzrPO+ojHRxuqhum3MalhNns+h1iMNCqcmzEy6LEbtjhUB9wVV1RhtXuESHCUi0RRzGuykvTMrbSSOQJg5BGxwLrbn6HbiRqLzS4pmXD88HyA4YuPZ1xmk4wCT+7u+IOcRbDWRZAbxZvmPbrrGA00yiFixx/dkVOY6kjntLG1I2vS4aSjY4r2hDP3tUsaKqkQqbY7DdDg7sZk0YnS0RYCEvrxg4P9QP27R4/cfMT2BQbaUqcd2wMdYrTSFzqcaRkbJ7OJWkyaFaHacDJcbqVxIkwx4XN7jzJJ5dQpPA+hil/M1Hm0o7Mt7gtKR95V5PJHybORVxIExgwpmFDYBz9LcEkmSrKVY7DUaZzo2XjV8QFvPYSsKaV5tl4KSSts+hdz6k+FCJPI955ONNnZRPRZSdxgsIXcs4FPf00TJKAGVCqm2Ijcq7w8ws8+VjFkoOglBJAwmhHhjKlfF+aiT/HWcpMh6Yn/3uezZEnNIl3I6e1u36Hdb5+MU/HMXrPqWamL/jQy3mloUWXGwZiRVzIMGZZkGZiQJlnq1o0lhHok58YhJbRFPncPmM54+Y1eNMCRWaRLojC0zHMZKTgDMnZcRzzGYpKwfwOdoAeiDbdFBvZlGZxhn23p9/BOSnics3sjdFy2h4kZDoimcVGnPjCc/oftoxlzOTRKI6Q5dT2h5+VhRU/HCK8YAQ9KB9xNP4fuxcSXaQi7Ps9pUGXcytRCW5mN0IpiRV9elcV0bFP7ZNsTowlrjOYQwGiq9fpWjYp2ZxG8VN3QmO5aZzncywzTqFb0xIlW0Xik2gNB1XBzB5Y8Pt2L8Fkoxlf5K0XuaBSihrylPJGrzyyNJOAqofzA87DmffZ2EuYngbrwvAshjTnKqngYjZ6d9UdPQU6xd3sjmFunkCKOCKtqDMd9u2eCNF8BWsoPW6HFl3bfeO6+EdWkH/n6jso55RDtGOL80iYe6pSbLstma8gMxOWK5MvTl8ARwZ8hPCaOOLhEQ6FQAtJdSpT8sAwDelak52wa3ZyaJ+HswTohKLmPNDocOgPvCAWM9GuhqRK6y2cdTLxDMl4AasY0qBC2EqYQGSa7tyvjl/RdJOVWCuybJuxkaL4MB7wavGKE1bd4mSYtve94/dQah4S9/N70T+GqXUIwAgUlsD5jqLoBTHlLbbtFvez+xcMlYqxLtbCrjbOYFtv+XJPR9GABbNM0PDv9jsJVtBay9TZw8MaizzPpVnZ5DzETj3JKutiTR64JtYorC6DRtiM3DgME813vefk8KqkfjmPc1yX1xJCEpLhroorVDkL1dAZD2aQtNTr4hoensaSCwN3ntOA+tn+M9GfrvKVMI+/OtFw83rxGrN09jUjSlirt1NLGdRlkh6MlkXJCVgImgr4rzzKscgWonfWkRb9GiIWLVfJlSQ2lnEJZx0O44EH+oWqM0tmol0MU7FoIn86AlGWeZxDay2YpyIu8Nw+Y7SjxH5HiCRN9al9IoLU0+wYRzFMbCT0KYsz5GmOfMpx6A8ydTSO0jMfeWTIYDQ3KWmS4qPNR4w6VykMSOxpxkYQk9ZaYSYbT82n8QbwELOnc44HuIllTV06yg8SJJIqeepPlENcpuWtbTGMA47jEe/r95jFM0mALdMS+5aBWolOcF1eA4DEjS/UAu/P7/H9/fcZMnbBqLWmxSoj53eez/Fq9ooM3Evk89v1W6R1iqfmCcuYTUiecnuywgpfjV8JqWiREYM42lE8LCGFMxTLZjASgpGoBLOY0rzn9ll0+sYbiXI/j2fczm/FgxE2U48NwytSnXLDE8V4bB9xGk/YdTt6TzQ3Wd4xpvvUnyijiIB4Fgv1yhknW0RnuUaPoxhjNMpAYpbOyCq/bH6qhGvybbPFeTjj3J2xSBbcWCgl5uV2ahEnMebF/Gu4VGs5bUuiBFEcSZS5Ugqn9iTQgJBT4UBt/fPwzA3axVQeJIQaGhdAC7z3eLN8IxSgyNKv1I89MkVcZTu2uKquGF7Vn2QdHnwZgYqSxfQkJTqRiWuIig9+kmAWfjg/8N7IKmijhY0/mQkP/YMUKMeeGvs4igWhCkAQvfVIE3mZlNJ4tKZFASJd18Vl4qlp+A94vJC/Ec6CVKfSUC7zJe6qO/7e8Bijkb4C8AzMdY424kAj8nw2d+1ODPb1UEuOyGk8Ya1JquinXgx2UJRxpTHfl08Pn/K8S53gFo01uJ+T9FFPJIyNuBg6I4VNuoGFFWnM3eyOEtOLj+Lx8EhNdRrLMx1FER6bR8GabooNt8vOCeIR4HbSR5TpVKBmOYsznCcmjIck6Q7UGKdxinW5RjM2cs+dBxo8rbNsxMz0sn3TcyEUXVVX2LU7yUzoBz5764yGx9GNaLpGENFnc4Y3Ht55oWAlikmtScrG9NSd0I00K67yFW6qG9xX99xGJByWLDOSRIJMctfu8NQ8YZFxWh1FTBw1noSiyU+UEKkXjGAg0AW04KE/wEcXdGhMnXrkIpQ5TZ+TY2aMMfTteONxVV5J4qZzDrNkJkGCnenQ9I3It07DCa1vcayPKNOSKcYXDwk8+J55iFdmmZAf772XdNUQyua8IwlvXLzIWf0Lkni01IiXcYnr6lq2bkFOE4ryb/r1IyvIE03ebqKIAnytXqMfe2F710ONRcG0wRDRvMgWlFIUa3av4MqrM51MGYuYerMAhM/iTF74sN4OJrk4iiVuHAqIHJmszUhOcFh75nEuB1ymMmICfYRhGqSYC6aDYM4LYTtBNw6w2DCGq/4k4vcd1inee8ornOOq0FlO0PoDi8usQpnxgDXO4Kq6wuv5a1QpiQzGGb64F57z6EasCxb55/GMfbfHIl9IYRNMOGHS2E4v+qsPNx/ierxG3dc4uiMO7QFpTOnCrJhJgSoa/6kR+P59dA+lFaZx4trnUqzOkhmSiBPMyU7YpTuumQBEByZWtlMr05AQfNKOrSAIDx05pD9+/eNkPXtOoecppUrGkr6RqhSLfIFdtyNJBTSdBhZ9YxrEOian9LJJyTSpBqMZ8dnxM6zyFV4vX2MyDEgxlpd3WB9fz64RgS+qipSsZBcpdfkYwc9qMkQC5msopXA/uxcTZaZIHAk64EQl8PoF/RWSCpM4EXnBY/NIFJiv8MHyAyjPjUU91QwAuqwy26kVPGSRFNAxNavLZAmdsHko8xJaa5n0ibHTsaEIq/RNsQEAHA2L8Mjy8Lpd3KIxjZi0QhphIB0VaUGUZaREGuCsk6CIsMoO2EzvL2jRiGjRIi6o97wUzP3UY9e+BNJEUYRjf6RU54KwDA1oplk4OjjZNh076vHrrkaMWIxpYpC9YPda0zJm3hnRRJ+HM7n4l1TMH5RchDCxMOEKMdupTsWsFpp/BU6x+6nHPJ3jw9WHNHrFlJP9oOZ2spOgDkPk+64ly/6muqHBMi3RTi0L3oLhND8YnuHdi1k0VuSzI4KcaUFTOfoLCjPiJqG1pKFEiIi6BD/HXbPDMl1KPPRoR1725oR9x8/uPJz5vScL+g8uhicHJgZjBJI4kfCfICNERJ1zCAEynhf06EZkms27sdTvRuBwYZEvRI4xS2di1LaeZ6C21EmHwg+elJpAKgo/o/DzjiIiB5fZUkLW2qnFMA3MW0hSmXKui7XIj2LLMzgGG+BDx81HP7Eg3hQbJlhGTAE9mAO55IhRu1okI4GxncQJDu0BXvFnkce5FJXP3TNO/YkbYc+fQzM29BzlM5zHs9xhy3wJZ7ne92ARH7I6NvkGCgrP3TOu4ivMkzm3jpf01W2zpd9iOEFDo0gLaTi6sRPJQtAu1yMlRoeWshcokEJ0MbY+tU/4XdXv4oTxkihbJAUe2gfY2tL/AGqInaP3JVO8P5/rC/8+TuQ+DTLOKuUmZjfscOyIRgxGatGmTz2euie8a96hsQ0+Lj9GggT7gff/MA3oRv6ZThGlHA4O0MDuvEOiEtzP7iUcKkIkZJtzdxYccUgdDaZ+660Uq1VaYdKESORJjrmfy+fdohVN/fPwjMpfDPsXRGzYztqIAYFhexjuN+UVWtfibnYnZuAu7bDvL/Kricx5Zx2W6RLzlGb/YGiNokgSr5/bZ3x1+oro45Fm++Ab2vd7bNMt3szfYJEuRK0AQEysy2yJbbsVCdzgBiGdBZJckHtZb3E7u8VgBgx6wHnicDSLMxS6QG97vFm8QTtR/miskRrSOSfy0HbgliE0FLvjjt9bxO/90B8kwCuce7GOxbcQfGhRFKEzHVUJlwRPAKJ4OA0neeYBiAR0ls3kjKuH+hvXxT+ygjyLM2QJZQpB+7nXe67RI5rAupHTy8Y0whLf5Bsihi7GkAgR6qHGVE7Qjv9uGZdCS9m1O6QJpwi96SW6PrhpBzeIpKEH3cbGG2TIJEDnOLAIs476JgWFMi1R6AKD4wszmIF6Sk3DUWDeBqOltRYuYqc9mQnLYokqpwFVQSGKCf6f53N2dcWAu+kOAIStPMtnUJaygKvySgrr8EBt2y0fynwpeqbb2S2uzBW27RbH7igTuBB2NE4jvjx9iWN3pEYbMVbFCnezO3zx/AV638MasuJDiNMsmcGAD6e1DGuZYw4dazS2QWEKMXklUQLMuN4OXN88yVGaUgwfy2KJ7++/z9UdgFk2EwNlrnOsi7UQEVKVcpLcU9ccpEaxiknK0XSwH3rGhQMviM0iKbBtt3hqnpCqlE3ARR40WQZvPJwe0I0dPtl8wubO84W2jmSZID2qJ0ash02M90yfVIqG0VjHSD0vg9znEiY1z+ZMDryEXkSIZNWfxRlMb0Sf7jynlE3fcDU/MQlSu0sTCCvPnneeK7wLkchYgzimLCHQbsKlHDSQmc5wV97hMBxkGlDFDDwJEoje9th2W3nfjGVoVZFy2taNHbz1jEo3J0x+Ej0kHJCnOZSnc3+evlBrwjr0umRjsygWTKTMGHozTiPNcKZBMiU4dkdi0iKSQ0IBFlJffzCFM5hXvfdYZ2tKfoaz0I4UmGYaCE31UFOvfin6du2OXPaLzMXDo5kaFHGBu/kdmrHBtt1imTK6PuBVQ5JrpjOaci8hU5Fn8RNraul1p/HYPcInnhiwiGEUd3NO89I+xUPzgDEZuQ69bOPezN9gla3E62CcEYJHmCpbRwLBYAZ8cfqCPHGVS6iLihSui2vScdoDakMts/eevhNczOHh1/T0giQ6QT3UEvEemP7GciMXiqzQoIZE5cGy4VeK53xoWo2hvnuTb1D6UoroWTJDEhMD6pwTnX6cx7jKr8T0FcJQgvk3fE6DZYMVJD8A75Gvzl+JFK0dW9zN77DKVmimBrWtAQdJ8lNKiXnfgwbfWTrjP/M0CgZzZNiIFjE/62Fksx22AZOdsMgX0jTGKhZfzqE5YIxGTCN1qdfVNfIsBwygDWURgd98P7+XIQU8p/ht3+LRPTKkyE1yngIM+VnkC678PSVF18W1SEODJKY1rWxywybh0FNG5iLKN4qEMoGn7km2aDrS+HjzMZv2C/Ei3JuRYhR9ERWAA9qhxb7b42ROeFe/k8YChg3dLJlxgnnZBpxGFsS381sss6UErgyGyZzN2GCecHO2LJbSiM39HMt0SUzpRcevwEyKbuwoobMsDic34fuH70u40WhGSQ+tx1pCleZqjibleRKeS0SgFPKyQdLxBSXcU5I0y2Y8yz0lboMhKnPfMfE0IAqDHNJ4AzjgbBlyVcUV3p/fM8VS0dS8KDho+fLwJRHNicNgB2k2ck2/VpEWwt9P4gSrbCW43FKXGNUoZ9+nx09xlV8hT3PZ2B77o+AaVxmZ7u/O70gruwwxYx+L9Cl81WONyUy4nTPdeG7n0vDWfQ0Dg0IXMqw89fyMr2fXHEYkDFO7dbdMY40y9L7HMrp8vrASOjWP55ilM2zbLRuWC1kqjolmbiaCLJYJPQNFxsK+HVp5V04Dt2iJSuTZHSx9KlVSoUypQHisHwUjG4zA62JNr1v9Hqf+hKvqku5tKFsLevxv8vUjK8irpCIJAdGL3tuBnUy+xrpc00l/6V4P/QHzlNq0yF/0fkMj2mHgJRAo6LGMI4OziipxeTs48sCHGvt+LxG9PvJifAomk6cz9c1hjRFQXk/1E5blEpt8gyJiHLVSLNLDdHJyk5A1vPc4T2c8188vxBMVQTnF9RommJEXeEjhm9yEq+qKHOzuiDzlpG6Tb15MlIYu/+f2WTR2oQGYYv6+QQoQJnqv5q/k8jiPZ4wTJ1wWFt7yUlaRwvvTe6hE4cfKHyMdInLkond7QZ/tuh3mxRzOONHzhZVSEbPb1loDDrJSDKu8WTrD6IgNCgYoa2nktT273qVeIk1SaK2ForPIF5jnc+zbPRJN5/Y6J2ruMBzw1D7xpTMkpSACf1bTC7mnH3tMesL97F4u/MNwwKE74NgemWo31NLBn/oTTsMJ/cji/7q65qViDXb9TvTloUA8TSfRQ96UN5ilPKCPwxH9qae058KDV4rx17OUBuUfNN3EmtOsyb+wmDU0fMR48dLTOPPUPnHKFzkhKCRRgtN4QjM2+O7+u0wb1Tm6iYipELwypqNECVdphX2/R2c62Vw5ONGutqZl0I91UJphRcYbpClDRb46f8VGTBElFaZpgf6xLtb0OXQX/4QbsW23WKQMNgqrw8BLjyKyhPuR081IR/hg/oGsfwNh5dAfkMeXxi0uhIveTi15813DNfllIhua5jIhC1spstajlFKpRbGQaWYIf8pUhlk+Q93V8InH/fxesgsArpAfm0e8mb8R+QIAIXhoTZbuvt/TzDedUI4lfMKzBxGkKZjsBLiL8f2Cg6zSSrwcQSs9S2ecPCkvBCg4nq2BKV/FFdMFVYSH+gEaWs6XIimwKBZEoPpJNl1X1RUDwTw3hEHzPE9IGsmSjOZJTU2vtRbDNGCVr1Bmpfw3q2IlwTEBieYcz1IPj43aCCZM2OvgShuePGMLSvHCOhng1HXqeG5kijrneqqhRsUgKZ2jyAocOqYCO+eQJRm29Zayl+iF8W+9xSbfiG8hUpegq46+lbvZnYRKRQXPA+ecmCqvqisJkUp1ClNQnhUSVkdLA16e5AIJqKdLgZIXwARkOYu35+EZ2ZTho/VHwusvE+JYg89ltGxUe9Nj3+7JX5+/RRKTQLWtt0h0gqvqis0gqJmOogi7fieyA+ecUFs2xYaSPsetZ8j+mOdMUpylRMWtc74/55EJkolK0HpuXMIqv+lJRTp31O8GM11vesyTOWLEUmQrRYlRKFpjHYshN0KEZbaUzbeK2CQZGJybM87JWTxmmc7QTq3cga/1azQT0bWpSrGtt/jy9CUaS1rbLJnx7B53UF7htrqV8zoMSIKJMc1T2DOJXGFbdzOnT0Qpepg0XqRC7dByU5HOYDwb5kQniA2xgzI1vgyRMp3BJIa887HH4/iIMi3FRJoggdNsjB5rSso25YaDONvL57hrd5hnc9Lj8lg8CmmcSrEbNkSRjzDakebPacBNeSPP67FjPkmqmWi5bbbk00fcpK7yFZIkkTyFTGfia1BKIRDu8jjHp/tP8eXpS8l9KLICSvPdLlIaVHfNDlfllUgrQ0p2OMMjx/vg1J1EfhcGL96TPHZsj9xSWtZ/ZVLyrrlsmozlYC9MwR+bR8yzOQeaoLcs+KbSiFLKx/oRne2Q6xwfzJlzErZ4wbSZxvQVPTfPUIpozgSJGPW/ydePztR5+WaCQS5wLTWIiirTUoIKwgUUgPNhNRrCBwCgGRpeBtZwDZomsgoNE7tu6qhl1Yx5/7z/nEziC087jmI4TaOaihSe+ies0pXIDcJ01HiDfbMn1znl9HVZLEWjnKgED/WDyFfCCzO6EbGOme4WAft2L8W8dQwaWmZLwAN3FVdP23YrRVYwkYR0v3qoYQyDIZIqkYlSb6g3M55TCEQQqUqQQ3SmQ5VU6JKO7O4ow9nSKPTl/ks4T62hh4eOtWhxrbP46vgVIs2k1Fzn2PXcQtxVd1gWS2rwnEE3kI1cZqVEYXeGL+48m8MP/CybscF1ec3pRvuIPMmxSMl2dZbJauFlDdOQIqGpSoFGqtEy2nzbbHFSF6d3WgoHvR5r0aQF0kcwMgWWauC4zhK6+4/HI9eYoFEWEVftobgK31PwJvToOdl3BsPEwn2ZLwV7piOywEtdosgpEQkc+5C8Gvj4JuJEIS84Cc4VkwqP0xHLismJve1x6A7I4gy7ekcfQBUDGXVz5/6M83DGcTzirrzD1fyKlI6GOLp2oKHGRY7T10sSY3NqhDkdfAllzPdx3+5xsickEXF6fuLhVGUVlsUSXd3hqrjCbXHLQI2pozSr2Ej8+8EdAPAzbcaGccY2EULNZCl3uilv0AwN6qmWULBVsRKMW+DBzvO5TCODuz5WDNMJgReDGbBrdkI96iyf/3nKosNYI+bPRDOtN1YxzcMRC72n+onFeZyJKWg0lLYE7XQoHgdPGUGYiMJzahkkEFmUocgKhqbknPi0U8tmPYrwavkKCRKcpzMpBTqhxCsC7mf3kvgXRzH50Rfj4KyY8WIauXU5DzRjvlm+wV1FisB5PKPvetzMblAllQRw9IbP02E44Hp2zVTO+gGTpVGuSiuZkAbzbJD73Ga3UpjO0hmO5yO+On5FM9Wxw/38nk3QpZAzns/3aEcx7QZ6z2QmoVY1fYOPVx+LCbgeaqHoxCoGFKdzh46einW+Zmqxtzh1J/SWxIimb8j8dg7eenxx+ILBMHEizXdseR02pqFkxXN4EO4n6y0+XH8oZjTnaHoNEp1gmpyl9CaEfIzQaARp4rbZIo5ifLT6CJ8fP0czNNgUG5xHpjQmKsHt/BaH9oDRjgxTSnIcOyLzuqnD+9N7PHfPNLJHnN61Uws4SHKntVbSC8NzGeuYZtqMDd5j/cjGLKP05935HSY/4X5+z2h2zw1omZZsji3N0o/nR1Q5tfzN2CBGjDIu8U9O/0T8IQEwMFrKoVKd0j9xwQCG5qxKSN6pkkrkhcHn5DwL1TDkyVWOgzpIMNGX5y/xUD+gTErZQoRJZXi3D8MBxhss4gWSKBETt+tp9P3KfYWr4oqpjf1B0LfTNGGmZzy7DCUTWZpRbprOBRSQJzmlLj0De4IUMoTXTNGEtKTR3zsvW90iLoRUFshgQSq4rJbYNlvsxh3W0RruzIGYi5wkS4fEWHjWEuN44V9HlASHgMAqqTi0UDkMXnIdAuawHms0uwapopF7mAY2fSO5+lflFc3YbhIZmEqVyMaqtMIyXSLS0dfMt81Ao2+YXI8pk66VUng6P8EYg4PheVPGJQd1F7pWN9I0mSc5tNFCRnqsH4W8FOtYggBTm1KSE1GiGLJqZvEM82ROeRForA713mCZJOq8k7Nsla8wUzN0oAF8woTOcpObJxf4xWVDF+6uwQ7ABJwnSpcO+8M3rot/dBPylGvzsCIKE6sfu/0xPDWMiy9TJpkp0FG9KTe4nd2KySuKItR9DWcdvPJEUkU0rQVtUKCxBI1rSLUaLA01KuKDFbrWCJGYx7z3mGVkH4eLvB0Z2pHrHJPnv9PZDlPD1fFoR3Ew96YHADQTO9NZMoNXXpLXXi1eMdjAWBzGA7bdlpznuMAHyw9oKPGOcpfLqji4zoNGdN/ROd1NHVrbQnmFRb5AnPCADGmIgdPbji185CXMIcSW1xNXzutsTfc26KLuTY8sIR/ZZx7twOl/P/aScFdllWgwNTSmaSLXHR5zNcc4jRK0clfdoZ5qUjj6E47NEZ1jJ6uh8Xb+FouSJsdTf8LJkUscDqvAkBWXuWKxte/3wjLfd3uUcSmIxlSnUInCQ/MAOODt4q1E2nd9J0EQ1/G1JJa2pgUsUVKLgjpgH3GFnUQJnjvy0L3xUkjOszmL4Oksm59gMA4NQ0inDdxwhZdiLzRvISXsrM7C3h4sE/rKvOT0VmmUqsRkJjy6R67j3YTH0yPm5Uvj1VrqiwPRZVkskYxMfF2kC2yqDa6KK/77Fy1i0PwK4tN70fVmcYbDcMBarXFVXqHVTKTrXY9Xi1dSeOpEo3AF5umcBbPjM/fV6WJkDk2svkzGdIynhgXv3ZwpaLGiBjCNWYgu0oW47rXSkg6roTE46sdDsuAiZ8pqPdWCK3voH+RiMZYRzkGHWmYlbnLGoCtwsuS8E11pmMCEDdfkaMSMVSwXgIaGcw7n6SzNfxZnLCYvZ8ym2LBozYlbDBrrMilF5gYPYs6SAqbhOhv6EiF/wWkGA/xxOGLXU+MaDK57s6e/YhrJ/XYW65FmMK0YzDXZCdf+mhr4C3Ys9jGuZ9fMRqgfGM7SnbilUvw5hUjvoNG2jsQZeOC5fSZJxNB4G2K665Gx67fVLY1QSSX8+1SnWBdraWRD8mcap4g8p5VB/w7Hs7SZGjGOtxOTQVOdYpNvKMu6pPvFMVnVwQfk4dF03LSchzNGN+L1/DWsYROX6lSIN94RtfjcPNNAaGqZgqZ5ypTOGPjs8BnpM/NrPhNxyURUZ6Finj296aVZCVuVIEtb5StpyIN0Y9/zPAms/CzJ8L5+D688g240p7N5mksYXJqn+Hb5bfSWPotzd6Y3a/5aiGFFyq3eeTgTIqBzfDp9KjjCwOxP4xTrbM2UzClFGjHY6+zOeGouyD4FfLb/DJnKhA7T9tzKhOl2b3tsm634UPKEn0E4T/IkJ61lbNjA6BS95Z0ZNOQhgE+D082wJQjJ3ZMlFnmezkXC6iOa9Q/dAYMjtcpZSneCwX9TbrAxG7jM4TAcmEJtOiyyBaqccqtDf2CeR1LgdnaLybAgzXUuJBq+rl4GAZPluWCNFQb5dXWN2/JWQgPbhs1ckGAYy9oiyBJTlUJB4X5+j6fmCVf5Fe5md/j16df5Z7AjYCEbwjwhG7ubOinUy4TekqDx1pGG1hyo3ZQ3mCYOpw7DQULzwhninUdtagEEhI1p0F0jogJhmfIz9s6jda38mmEg1bkON7MbKdDDnQdLs/zoR5F5hjTPgDc1hp60PM5Fb1/3RJbump3cB0VWSOBVqlOmrlvKyK5KNlnN1ACW2+hKV7hb3EkjGYEG/HZocZ7OQqYLHpfRjtiduUlJF6lsr4/2KJufY09iTwAxJHHyjeviH1lBHquYbnln4RJyosVtDcgLUXc1kiQRNnSe5Ix8jxOJah/diA+WHwhloBkbSSkL2t7w8mT6QjqJM6zSFaaEL1CI2A7JV2VSit4pBPkEdqVzDEEYxkECIFJNje1nzWfI05zaz8uK0nsvRWtIwguhRWVaoo96rPVaCshFvuDkZTqT9xrRJLLIWJA478gutUylmgy762PDyPJ5Tk45PI2F/dRL1HuYyLUjV429pXP9qrhCrcnhTTTDF6Zhwq7b4S6+w93sjqsjfcK229IF7SbM4hlfMsWJ5fvzexo/oxj383u8Xb6lDCNiAmlSJBh2A94178jxjhPc5DfCwr2qriRsRSglF8NmMKv2Q491thbaxHE4ikEocFkPI9m01lqRHwTNv/UMHAkFWZqkyBQvoqCRds4JhxmO2tp6qLEslpL2Zicyap/qJ4x+xKbkFDgCKS/d2KGNW5jYSNTx5CYpugHIyvY0nITFmsUZypgyom27lQTAMAHKkxzn4cwIcZ3hw+WHsroPOsWwrlxkC8xiJu1VCQkzSpMNn6kM18U1FsUCeZwLg9pZJ/xc7znRCRP8MOmPVSwUibvqTgqN+/k9p0zxDKtiJRivc3/GMl/iproRKYzzNBgFvu5hOKAbO8ySGV7NX2GZ01UfJGvn8SyhF+3IaftpOBEXqCJc5VdIkkQoMy6iTK2bOjx3z2IAvs6uYaMLp/Zy5twWtyKbyGKG0mybLSdzCSfZgx2IEItoZg5mTHhgkSxgvBGUXJEWMgQI0o+Aoryurl8Ce5QS936qmYR7XXKzEqabgx3gJv5aAISKkOhEEk1znZO80DZ4ap9k4hNFEfbtHlflFRLFLcSu2fGzMb1chOeBYR+zeIb7xb0wuo03KKICecJtifNEulXpBeumcviI5JTRMBAq1uT1ZklGOkKxBBxwXV4z3TBO6Vvpj6IrD6jBkJFwN7/DptigsJyKPjaPNLo3NPV2Y4csyRhTjpYbt8v0OYSAhUCYdmSKY9MTdzmLZgz1cjRf5jET+O7md0TvFhwCnQ2//0QleLt8K6m7Ie8hBLTlSc731VsWHpd0WQCClA2eHoBkm8hHL03uhS/vvEMzNCK/WGQLmgO9x7bfSqT6aFjILHJuEcuYWukqq5C6VIrPsGU8+zOHWhcCV9hMhK1EGCaEgL12aHFUR24gtYKLSHY592e0Y0vJmKFk7PuffR9qUHCJQ3VXSRiVtZZN8lBjvpqTNx0ZvK/fI424ZQkwhDiO0Y4tBsVkzEN3kA1W2AxE0aU5s6Nsg0KAWJqknKxHXpj7YeIKC8kz8KOH0koY+7GmxyZPcoxmZIptRppHZzpcF/SEqYhUkUXOwUxILg1Dukxzkx+SmQMCM1BxvPOS1BqrGF8cvpDP/9STZR5rJhcnOqGMLmIYWTyPJWckkNKagRrpWLNJLTQNxsbxrmpNC9tZIlovwTplyiyMRbrgptgNeG6fBbubJzlKXQpeUcJ5Ll6mCZOkWd6WtxIqFShQo+HnEjIFRjsSDQsWy6uCYVi7dkdU6AUxW6UMH6yyCufuzA3DcESsYnxy9YkMbL33mOUz2MGi73um+yaFSJrKjMOpseXgsUgKaQBznWNe0bt1Hs4YJg7g1vkax+Eod4WOtNDDEp1giAcm3HqLx/aRFJ9qwwHEhY506piGGpq9QH37xnXxN/4v/1f4CmzTVDMqNkypA3Zqns7x0DwgVSmSJEE/vHRHqUvJlB0aXM+u4V2w4HjB9qRRiuN4fCnyAdG0GUdDyHE8CgfcOXaA4cENBqUwYVaKvNc8zaUbzjTNB4eOdIB+4joqU5yMBbNXrnNJ/YqiSCJ/Q/JUmGICECJFkENMbmKE6wU/VKSFrNmTiCuzLM7wevFaHPbWUXv5XD/juX0GNMTM0kx0ZseIubKJaGSo0grvTuTthu87rO50yhWcBYviQhcoU6amBi7qbXVLFm9KPdqqoARinrIAa6cWqUtRZAU+UB/g2B8xxiPlRym1dR4v0oN9v8e22eLt8i2W5RLriEV4NzKFMxw4qUoxz+fycuVxjjIikSbWJOmkipo4nWhxqMc6hh2svNyjGVHlFa7UFZ6bZxwczU3H8UhGarEUg6h1lo79sZEGJI5i1L5G3ddkvSqNeqpxN7vjRZgUuCqukCekYThQ8hKMNIE8FKZ+m3KDvKQBNI1SIZp0E1NV67GmIctxKt3altzcS3LhLJ1RV53SEKu1hvEG1xmRj9ZbMsYvGkxjyX4PE/pAflllK6yrNQbwICuzUnSx3pPYkChKKq7KK6z6FQ9d/5ImmCdsUqukwryg1CzEfodgIjiQqBRRZ2sbizRJJXBp3+8xTyl1CumCwt5XfMeTiTQE53lBq0hhmqhhvClvyE0u6IjPTY7Pj59DKy0IzWC8C1SEG9xITPsiX1Dz7LmufG6ecVvdYl2shbUdDNGhQRymQZryecbCJEvYYE5+EsTpYAYGB6mYDG7b4+H8QDP15c+mFFfUVVLBJ16arxB3PrkJj/UjjsNRjHMhDfnUk81dDzW88vLnCAm9YerVmx6bcoPSUJKFCx7TWgunOAgIZ2QYcvQjm/pY02gMCxbNly3BVXWF+9U9hyeXZNo8ztHpDk/1k3wPP4gKNNYw3ChfsJEZLbI4w5hxKv/YPMJ4QwycAiewlwwL4w3GcRRiVRYzdRURRH4YEioDQSKYUC0s5Y2mg4LC7fyWuuCLPyZIauIoRhSTTHEaT/TQJMQPBtpPb3psio1wws8DC9pIcYIcK67yrbMY2oHysv4ouu3QxPd9LzxzaynRzBISVNIkJafZdDi0B4n3jnwkBfhz84yQdKmVFmRwkRRY5AuchhNDkRwHDKf+JAVoMLb/+v/069gdd1C5QvUtyjKxB37uf/9zcrf+ez//7yGf5TCtwWazwXq1RnVT4eHzBzxNTyjKAt/+5NvYfbXDp/WnmM/m+PCTDzFTlKAFz1esY5jRIM54/9V9DR2/yAQ9iN4NBJIk4pkXtmb7fo+3i7coYm6RbqobktguHhooghVOHclASivcZXeUoWiF43AkJShfINYkihlr0Nsem2yDJE5kyzZYpupqrQUpvC7WIkM9j2e8q99hcsxaCAO/znRY5AvMkhm3wSMDlU79SRq9KquQ2UzkUkop2XymimGBSZKI/HKWznA7v6VURjFr4jxyQKUUG6t2bGUYEhroIKXRCTf7Qtq5TODbqUUJbpwzlQlB7ql5Qj3U0FpL8vrD8QFaaw5ELU3g3nAbMkxsAqzltnkwA+IoxiIjHEEVCu/r95LYrKFxVV6h7mtsuy1Nol5jVfAeWZf0NAR/SqxilGmJx+aRSgB4JqlecmH6qYfyiqbPi268nVrRvqtIUXY5dng/vEeVVWxKjBWjcW8ZGNWPBGkE4orzTsAh79v337gm/pEV5GGVGSgJIfmvn3ghmMGgdz0iRFiXFOjfzDkl33U7mRBaz7CUyU04tdQOVwkRZpOb0Nse5/GMjSa6TUVKuqZQOAfYfaISWS0jApqe0dBX5ZWsQS0s9s2eBhBFWkQ7MrZ4kS0ksvvT06comxJJzKniMmNHvet2MoFWitMvgBdA5LlKDTIagNOU0ZETfRzInw1hJMYaMf2USQkk1A5HPsKu3RHxOA2cclymeUG3HKsY0JBONhz+VVZRt34p7FLF6cPkJsSIAQ+8Xb4lf3fkdG6WMWXyPFBDdZPc4Ka6gYWVaOPB8M+SJzTf6YhF0LHnJGawA+qeKVqvF6/ROTK5Z8mMlJuI6/1VztRPBSXSocBQt5Z68NvZrUzL+4kr0ON4lBfdGCMmXO+9TNQGO0B5mp7SOMW8oIktjVNOFi5NUrhEj8NRGO/WkUSjwFS24+mI++oegxlkUxGkDTfqBtAsgE7DSdziIbygmzo8To/YNlssigVezcm2Tj35vAD117NkJmu3EJU8z+achrTt14yZV8UVAqVhls0kvCfTnAY8d89C76iSirHRXY04ZmKq844rOUBY8llM/nCIkU41J76rfEUz5dggTfn3lvkSi3whdJWAJLXOfo2WFKawwYTmWhbbIWXTOotJ8XMICg/nHV5Vr8TjoaFxv7gnGUUX6F0vOLLACA/x3x8uP5SUyTAtDNKJoLtVSiFHTt63eeZZcDGaBR3paTjRbJvNhM1cJAWQAc/NM4cIF51xFmdwsRPqx+UDRchQCGzsWMV4NXuF5+5ZkKC3xS1sfMkBiBOh5fSemk8HJ4hHrWkcvq6u0UwNV/dw2GQbjG5EYhPSSZzHLOEz3LgGJUpkCc2Fzdiw6UxmUFqJlj2kHXaGAwoYIsBCyutgOFiJVCT/bqL4jmWOJrFUpSI/HAZKsrKYU8XvH74v6YyR4rNuPENsnvtnFsaO+k4zUXJTJRUn5Y48/Hk657TOjDhPZ9zNSK3qpo5TxXyN2tQctkzcls3SGSPQY36P7dDCwkrwSggzGt0otBJjDZI0kcJHK035lOOmNtBLjOO5k4AF3Tyb0xTWP0tAyb7bE1JwwcLdz++x13u8b96jSJgwXaUVSWOX9NHH8RGH/iDSmMY0yKMcScQcikN/ED7zKl+hmzocxyM+Xn4s0+ywyfGOPP1glnaZw//43/yP+DN/9M/I3f3zf+3n8Z2f+Q7efe/d1+70X/pzv/Q/u+f/wB//A/iVv/Ir8tc/9bt/Cv/Df/s/yF//5b/+l/F7ft/vwVVxxXTROEc8xPjDP/mHv/br/Kd//z/Fh68+xHV1jclMOAwHrMoVQsr2YAcMjs9cN3UkhfQ1NrONbCZ60wtJJUIEHWu8nr1GnuW4r+6xb/ewxopno0xLkdSMdmRqbkEjYEjDTFSCx/YR1nB4ELjYPygNOw0nbtEy4lp705MiFffyDkQ+QpEWbMpjSvjSOJVNj7UMdBumQWSBKlKIVIRTc4LWGt9afEuyB5x2kroNQLJXtL6kLvc7GMMgu2makEYpbMp7NAx0gjT01BNocD+/Fzb/Q/3AmgUR7qt72Zi1U4u65aDIWYckSXiH90cJHCzTktStbI5ZNqN0x/CeLeNSmqDW0DtxPbtGmZY4jScOB9ULGjPQYdKYcpKANgxUuDB9D/CIbupoFr3chWFDGVKaw7Z2cAP0pOEyyqFHPyIxiUAKjDOYJiKaszgjn/+y2Uij9Lcuev8Fvn5kBfm+3SNFKmvA0Y4vh/alIw2hLSHxUCse4kVciLt4ns8BQJI385gXZxRRT74u14ijCyQ+InouUE6yOBPUVd2z+Igu/3cezqhymjKC9ilo8Z6aJ3S2w1V1JUarwQ7YtlteBMmc+L/LCzxOjNRd5Ss81o9izCoVC95MU4ZwHI5E86RMwTSea89ZOoPyTAbrpk4wYiF049Sf5DLcnrdcy0Fh225lytONHZO+4owUBtO+rJaiCM/ts+D/Au+3seR+zvKZfC5lXOLt6i2d/PYKx+Eo7M+n5knoCllCc01IQ02iBCbmJRooNMGtnMQJhn4QOsVj/YhmarDJN7iqrvjzNh2SkZdGiLAfJmqwQxMTCuSAX0tUguN0xFP3hFW2wnk4s7mKPA7dQaaCh/4gRdpgBzY9SpOhrRTKmLrt80STUzM22DZbaE/MmPNOAq7mGZPJIhfhi/oLbhCsxbpcc7KmYox+RN3URH22e4lgDtPi4FS31mLf7hlqdZE4hCj0ZiTeczITvGIhEDS+qU5xXVzjPHFbEvi+Hl7c+ZOZcF0Sfxd0wOGgDNziTbWhVyHSQhIIGL/R0ahcJRXO4xlaaTx3zzwUMx6KeZyTwGCo1S2Sgv6Q0wONYknJJii+YBELrs3LmLpmD4/Pj5+zichnuMpIHWpMw+LTO7yavcKu22FbbylDmTr8k/0/kQY+zdgQBJZ3GqecLmmNTLEZaQw3RuHiDQbReqyFARxIK0orrNIVNjkJUSGC/qvzV0jAKUzmM5iIGshMZ9hUGzyd2Yj8IDc7VjGstuhsh2VE70OiyCofzIB1SZpMkRZssM3A7/3cw0RGVuy31S0e6gfZjKVxCjuRDKKUwjAOggMs4xJXsytpOgKDuB5q8basipWsX5cZk3ELXUBrjXk6F5/OPJ8DA+RcaDUlRGEKPs/mYuIOxuhAQpgshyXzdI4qpeksECkGM0BHWhq0VbHC3uwxOjadAXmYxZlsCB/bR+zanUgXARbe226LcWJ6sne8WLftVljiyl+wsZGGzrX8jEJje+7PmMZJNlx5TL2u6XmW7VoOWE7jSQzmxhLHGCHC56fPMU9IBwuUrkhFnFR6EoyMNUKbWaZLvF28Fa1ukRTI5pS6BVb9oligmRqc+zN2xx0+O3yGVKWc7l2a3Xf9O3x3/11cV9fY5BtBCW/bLTdLY4cv8IXcJVlMNOCm2rChG8jaf/j04WvFOAD8uf/Dn8N/9H/5j/Cf/J//k//Fe/4Hi3EAXyvGAeDP/NE/gz/wh/4Afte/+bvw4z/544gMs0D+6a/gJctUBqcu/GlNuVSqUkngdKBM7al+Qp3UKLOSoUazO/zm7jfpDfJAGZdY5Stu+tJcfEqnnkOmICkdPQcXkafcJEGCMqd3ZKXYEHx5+hKTn3CdXdMsaAZiNs2Aq+KKumx45hdo6sPX1VrOGWcdetdjla5wtyRWtZtoRteRxjxjjXMez0hNKluyYI7WSmOVr2QyL9tpKPGZGfOStFlo4iiD8TekzVpnkac5Ss+zsptIcbsur7HKSFCynsSZ65KeCQUljaSHp3xo4PTdwyMBJ+4LtUCNWmTAwUcUzKehkI2yCKeeBKNDd0CsY5SulEYBipIcrUiLWuUr2Rb8oPymGRoxfk6WckutNLxms77v98h1LsF/QWHRT/1LcNlwwnTmNuwmv8FgB27bdfoiG1UDqqxCPdbMW0lnGIrhf7kA/md8/cgK8k8Pn2ITbVB3NaA4xQkGlRAk0Nuenb5OUCX8pqOIKVBhJW+cQW1r+NFzJZ5VsnrtbY+b4oZmS0NtUZgAhqCNRCXECHkluJuQVhgO4Hqg6fSxeZRp8jANcvAO0yAH3mQmDIofiFce+3YvHNV+6iV0IQD5y7SUgvbYH3Gezrj215RfTCOShJOXdmrlEq+nWoxRx+7I9f6Fk92MDZIkYSJfpERHjQg0hJoJRlMX2YMIvghE2oWwBhUpIqs6jd24g7GM4k0yHt6n4YRNQRb8q+QVrkrqvmMVC5f5uX1GZzoxlUQ6gjFGSArH7kjUm4plHeg8V8yDGSStMMTXtv0L53m0o3CQO9vxkvfU7YYJyMP5QbphDQ0daSzyBW5mNzR6DCyqN/mG4VN2ZBS1ZiBHEjPwYzADfOKJ4Jwo4QjN4HVBrW8wqTo4OZgiRCgVg3fWFQurXFGrGFLsgqk2sIIjFcnLbp1FpjJ8fvocVUfWba5zhkQlFd4371EPNU7TSagmIenzNJwktKZBQ1JNDKF+nPoTXi9e483iDZxz2LbEweXRJUnRnLDJN3TKmwb7bo96qnFdcFIRUuy23Zar/AuezTtPGoEhXixw6KuCJI8IETblBoeBCFOAEoFmaqhzvFySHkywO/dnklyMxzyZo8gKTGbi5ZxyWlvEBR6aB9iIZuhc5zDaiI5wla4ABzzWj1gVKwnNyBRTRkPxN5oRRhmRagXD07k/4838DTGcxRJQJDr1phezEhRkBZroRCZyIfq8iAsUKSU8YfIeGuvJTkQXei+EgKD9Dv9urGLh8McR3//WtNi1O6wLmmtn+cu2JOianePFOLkJVV5h4RfQsRbKhnPUBuOC8opVjCJlKJfo3pXGIrsEtF18NAFNts656Tr0BwAQI9kyX36N0KNAH0CECJOaEA3cfnx1/go3BbeeVVLJ5xBwguHcjTw3Vk9HbodCKnPw6AQOcT3WTJx0lpSUi9bexSx8D/0B+26PWMcvoT6K/iClGbYET41+8JkUaSGY1t70WBQLCTk5tkcGt5VXGCduVduxRT1RBx9Hsfgwdt1ONnF5QkmfmTj0CIE982ROuV98SZm+oOAixcZvsqTP5CZH0zV4OD/g+6fvA5bJ1+3ETW3k+Ay0lh6ENEnRDA19KpYTVq003tXvoMBBj/eUgRWqIF1GpbiZ3+C7n373t7y//0WK8X/Rr1/55V/Br/zyr/xz/51EJ+hdj2Yiqq8dGFwV4t7riaQwBb4vgxoEn1faUnwR33v+HrdEFf04i2KBm+qG97gZ0Gn6XZ67Z6b+JhmpPdaKxl5pDrmCvDBseAOaUSkljVuECBkyHMcj+qQnKas/iq46NP1BBlnEBazh9vU8nVHGJaI8wiyjr2aWzdD2BDNEUSSNQmj26qHGPJ/LtlJPWnwKd4s7nIYTjt3xRdYbpyLnCQnaVVZxOh9zun1d8tx/bB/RjR1ezV7JlLqZGnQjPToAz7zQOC/SBRvy/sLmHhncs8pXWJUr7NqdpB3ncY6DOcjPIdxfwzQQkXshNAXp3yJaSI3RTtTeL3PiNM/9mYbqi9cA4MC0Gzjw2pQbbM9bGa4Zz4GP8Qbf3X4XSrM58I4QC6U5SKjyCmVc0nOlWRd+cfoCs2EmifHN2Aj575t8/cgK8ihi0mVgNlvPTk0rjW6g2aqICyKcQM314AbkPkdrWpqvkoyGD8/o9bAObU0rutYQuDKYQSa1+2mPp45Eh/sZ8U7rco0cOa6ra3ZMnoabY0/UVCBx7NodetdLeEqumSgYZCAqUtgPe7xdvoWxTFWLokiMW7GKxck8K2ZsBhQvizyhjGbf7rHrdvDeY6mpNVxkC2oQPVexD8MDI62TEqtyJbHWYd0fEkmrpMJhOEi8bTCtnPoTdKTxZvmGKLT+jHqsRbceQoXu5/ecJEckOxRJIY3RVXklhhTjDDV4Son5LNBA1vmaEyMVSbN1GklPWeZLauzjnCE9Fx1vmZbSSHWGl2alKwkvGM2IVbHCbXWLuIhx7s40ieR0m48TA2IUKCtQSonpKlYx3q7e4un8JASPY38EADEIwgPzcg49aFhPg1KuckyYkCJlAxnPKM1oGiLLVMwQHg0pJD5efszi01NXG1aYsab0JVUpyR5G4X37Hq9nrzl58JS+aFCHfp/eY/KTaPYWGdndi3iBm/IGRVoAHRhlfEk3rFQFnVJX+b55T5JMeY11vsZ1dY1FxnjgWF02RIrccx0xkXVsGFoyOq7065i4wCIphL2uoXmRJwWnJn7C+/P7rxWGxhlJsSzSAjfljdAnipiJZ4MZsCpWuCqvcGgPMDCi546yCDfzG6zzNbbNVqgZkyGfPUFCeszlfY9VLF6Jz4+fC0UkmBHD1q3r2DBeFVeisa2HWlJnA5/6oX7AslgyKltnGDUnwFlM/JiGhlEG0C/kAwBSsIcwpFW6kgl5P3FgkET8dVKdStpuIPUEtOTkOK0PcijrudFQEc+NZmqwzteSKmphkUWUhbiMk+7jcBQKyKba8DkFJNSqcQ2us2sxSY/TKEl2s3SGOI5lahxQZ2VawoMSAestrqorwe9FUSQ0nMEQUzi5icXJcMS+3ePz4+c4t2fcL+5lk7kdiXkNcdUeNIxmltKc03BCHue4rW7Jq7c9/MRk19mMAx2kkEt+U21Enx8pnlmdJdLMRlbSMVPNs2ZdrTHDDIfugGfzjOvyGlmaSZGsIuYsOOMk5Mx7D61pMD9PZ3xv9z0skgVu57ekJfVnMW97R5SjyolRnSdzzGYzxrRfUpjroUaRFi8piJdI80+Pn2KGmdyXAIlA82ouCM5YxaR/RcSGhu2XdVYGDWnysiUK72WqqbWOVYxDd8AyX2L72RZ/4f/0F/6V1gX/rK+//n/76/jZf+dn8Tt/x+/E3Ud3DD0DG85jf0SWZBgUZX+DGzBP57iZUTt+HI7UV89uqTFv95gncyyyBYlqF1+Oh5dQH3hgP+y5gVE5kiQRqlKVVHKfDnbA/eIe22YrVLXREH8asHnH6Sjb4EW6QD8xoHBsKZFYpfTcPLVPxNgmGaWiYfOqWxngJYpNQjvx763SleBNv7//Pn0FUyq0oqA7V1CAY3z8Ol9j225539sYeZQjTbiVmMyEndnxvMpXUqhu2y1rjEuuQvAMPQ6PUvvs2h39USrGeTzTf5SucO6ZvulAD0poBgY7YOiZ9hrMo83YSCZJpC5ypAuRqR1bGbgBHDAeO27F3UBkZZASbpst39WSKEOFFxmw917050pzaBSCH8Pv0/TEaIdz9TycxWM4GJqVrbdYZSuiJbNKJEyjGb/xc/6jK8jBaeQiX6AdWuLFHA854wzm+RzzdP61SHg40Ilt+I3rSAvTOqz8jz3jsW9mN1jkCzKMLxrbznRkzuIlOS+4eoPpYp4xVGXbb6Gc4kTZk8Oc6hSn7gQ46mh727MwLFe4rq6xb/fo7GVF6xwT+GY3MoVwng9NmXAqjgjy0gHUmNVjjefuGcfuiGW5lLAGG/GBdc6h6bmOsREpJWHqelvd4iv/FadMZmJXD1JTuqlDpSqmgaZzNKaR4uuquEISJRL2kahEkGDLnHz1yZLlPktm1D5e9OvBLR1Wz4MZBAOY6pTSFc8CZ6X48IZp8yyZsWEBJTPLbMkgkEsQza7dSTOGiFPOgMBcFStG5poWVVRhWS5ha4uH0wNc5BDpCNf6mkEg3ovMI9MZbue38N5jVa7Qjq0YhKxjfHOmMox+RDd2uJ3d0gjnPTbV5qVZizl1CgbcEGYSApbSKAViPue9pb+gSis8NU9YZ2tcl9fYNls8d89oBv65+rHH93bfw5v5G5IARnJne9vjOBxZWGpuX2JNvrX1DLSY+km2DMHUeuppzp1nc7xdvcVVeSVYs1jFgjrLkxybaCP66pCkFpLnUpUKPmxZLEmfsQYfLD9AERf8DD23StZxYhmIRKMfpdgYDCklgfkfwi8OPTm0IdY4TmLM9Rzn4SwFu3fUJs/zOb48fEkTtncS0QxQohAMOuHicnB4O3uL0Y84tAccwN8LEfnVi3RB2pDpyXkeT5LSGWRvx5E/h2ZsUKYlbsobEnM8tZeIAN967O1eVqmhmLLeYltvcVfdoZpVEgDlC4bThD8vAJyGEx7rR2zbLQtZxwHDcTiKfh8Xrn4e53CRE0LPY/2IOIrR217ePQAykMgm/v+b6gZlXKIZGtGpp5rEgda2aDoiWoPPpUgLob0EzbOkyjojE7HwrE12QjM0eGweeSHnK071L/kPgYJkncUyXeI0nNAdiB4N8ihjjEgJIx/hsXskJ/vSnK8iNm7t2GLf7nHwNDM67zCLZ7gpbtBZbhngWWS0UyvyyBD5jYt5c5kvZeOnIy0ygfNI6kNIZAxhJh5E16ZxChjIr601DefecVX+vnnP9zHJkSNnEM1laxD0q+ucoXYB2xnoEKeOtJBhGjDP6QO5qW6YwtyzuViXa6FihXcnyBS6kZ9tpLldKLICuaVsJovYWGhowcgG5ndnOqQJ6UyfNp9+7c7+N/43/wb++1/77/8lVgX/7K9f/eVfxa/+8q8CAG7vb/HjP/XjstFd3i3xr/9v/3X89P/up8WLFVCu3nsaCS9ovEW6oP7/wlaf7IRhHJAmKe7n93ioH0TX/Sp9hW6k/DEAHgJuV6LcncEqWyGaMUVz220ZSAd6RjrToekb3C/vhVQUIUIcx5jpGRrbILMZVuUK97N7vPPvGKKTchsYMJDH/oh1tpbAnqVeki6SlHLmaKUFBxk2U5EnG1xHmtkhE4eDi2zxQkcpUglyO/W8J29Kbq50RIOmUgqbaCPBhYNhAm8cE4zwfH7meag5QDj3TBdPogRP7RMmP+GTq0+YzBxFeGqeCDXQMU3lMRuZVb6Shj9VKSwsDeKmQ+QiSS4+DlQGABD62ue7z8VIncZEk4YMmGDYBDgMXhQLaGhsO1KZho6bo9fL19g3e/SuR5EUgtKu0op1QORxV9whQoSb6gan+ES+v4oFex02pN/k64cuyL/88kv82T/7Z/Grv/qraNsW3/nOd/CLv/iL+Jmf+Zkf6tfZNltMMVE6ZUpetndeOqxUpTj0jPS23krss1IMGtAZ9eTLfPm1UBAAULHCVX6FZbrEYHlhDIZmx3k2F2RbAPoHYklYf+lIox96fNl9idZwJWUc0WIAkCc5rmb89d/X7zl5ykqc4zMa06BAIbicEPOdxAnlLHbAqT3JQZzGKZxxEsXqLKdpIYhh9CM6T/PEsuBk/dyfUSQFlulSDG95Qo2dsw7PzTPmycWY0x5kDR0uzUhFOPdnoaKEqOvvbL7DP7Nmx73IFtTta8Lvr7IrrMoVC09vZYIVHM3hMnOOZIcQ8hC6Xe+Jhdp2W6E/xIodZ0A65Tqn0xw0EZ7Hs6xZA4/7qmBhKdKkiS9PEifUyMX82Tiw2THOwIKGz5C4lSYM/FBKIUYsrPLr8prP0mRFAxzlEZRX+GDxAaerbsR54ET8NHBqUFalyKyMNYLs6wylCavlSpCVIXUxrASbkebhLM5Q9zWO3RFJQi57FVfQWovHoDOd0AZWxUrkTGE6cFPdUP881OhMh9eL19gUG2yKDRY545eDOTWwmbM4w3P7zITBJEfd1HhsGNAUW34+KiK/uxs7TuBGproCwCpfScOT6hRJxECbMWUxk2XcUDVjA2stjcgXjXmYtgTZw2AH4XkrxSliYGU3YyMBGpGnDjcYjwO+sNSlGJhvyhschgM21UaCQh7rRxaHlxAK440YJEOSYzAUJToRik+ZMIFSeSUm55Bu102d4PsGw4YpTIVDcpyOtfCXQwEeDEkApLg13uC6usa5P8MrTyO39WhMgyqn9yNRCW5mN9i3e0lwLeICnetEFz5aaq3Pwxn7fo/b6paT+MslF7ZusY4lEGrX7rCfKOubzERD7qQkx2EwA9bFWorxXbsTGY2ONB7rR8Zexxlm8YUSoTP4yCOPaHYLRVQIOxsNNd0AcFfcYfAMtAoXfpmUqGI2MipTTNm1kzQ9SZzgWpMaBM9nRWuNcRxl8l0kTCbetlsssgUW2UIoN69mr4jduyDnQuDQJtnwHb4EoiFiJkE/9dgPezycHkiHUKms7xPPzeIqX+F9/Z50hzihBMI8k4gyjfL7BF63tRaLbCHJiWXGLcRD/cBzznCC98nmE545CWUHcc6QHxc5kQl4kCUe/l7kKWsYJ/5zpRSihAbxRNP0OdhBpJizdCYZHUVVfO3O/lEV4//01+PDIx5/9fFrf++/+hv/Ff7k//VPoms7DMOAn/6pn8bv+32/jySUi9kweLqyhFsRD49u7HAaT3iTvJENd6ISaVqKmEncwZP01D7huX0WT0Ew+6YxQ48626HMXjZHQZoZ5CCBAjNP5/DKAxbC8g6EowgRrstr6Ehj22xFuiL8+Zhbx4DkjLNYErBDgKKKSFWB4VAoy4infefe0Xt3CQmsx5pBQFOPUpWyZYwibntO4wkfrT96OQMunPF2bGG9xTJfYud3Ipc89Ad6upQSydU6X4vpf/ITClXIz9M6y6HHcISONeU2l4Ai59hgRxEHLCpSzALxHGbM08v3MNQMW7tsGhfpgkO5i/HVeIYUZpppy9ZZjBM37PN0zu3Gxc8yTROHCHGMRCdo+1YAIuf+jNv4lnfWxWwbNOxB5qsihWf1/I2f7R+qIN/v9/jZn/1Z/N7f+3vxq7/6q7i5ucFv/MZvYL1e//C/c8TJwmk8Ie5jIYC8zl9TAjKe8Nw+ExGVLJFnOZqJetYy4fQvLvmBF0mBDh10RgrDIl+I0dI6Fpi7difc1R+cmGQJzT0tqL/LEzp0n/onKQBSxUP90B1w6k8oUr6kWZzx8hx4CS2zJQ7NASNG7Jodo3VnhWDdEpXIZNw4mtbqscZz/YzTcIKNLOYp14+raIXzdMa5P6M3PT7efEy0T8xp0yJbSFEX0GmhELPeYsAg8bHHgbKeWTJDkRXIogzVosK31t/ihQmaGIu8EMpHpCMpMJuhIYs0m+SiDJrxQL449kcJZQkMXKUva1p4CZsBgE/3n5ILnhSY54xT1jGlFe3Q4tgzqdVFTuQPkk461ihjmg+7qZOwGwCiKzfW4OzPYsBdFUxbTSKuZ3f9DmpQLBou2kyllGxcMsVo8CIuREd+X91zgqY0Ek/t73V1jbqv8cXxCwA0iF6VVzSMXbBR23aLPM3lAg482nqokaoUb1dvKVlqaZyb0okRw5cCUitingbDNewsm/FgvLjtF/mF/nLBoikozNIZuqnD7fyW1Ah47PqdNECxioWRHQxdZcpY96HngRvoBVppSbx7X78XTNfe7DE/zyn10i964WZq0E/UnhdjgflsTk7vhcIzS2dIdYp25LufKGpqVU/k1e3slmm72gt7PtaxTHTaicFcqUmRqET07wUKKRYdnNCOYhtDQ4uUJQR5XRdsvL44foFjd2TinQLuyjtkSYZdt0Mcxbib36FV5FjrSEPHGvt2j+vqWrTf54EN8lV5hWEa0EyNpInGEcONgiwmmACDmTKELbUjyT031Y1I2wYzYJbM8OXpS2rtLyamENceLoUwNFARCTeDHchjjhORWY1mxCJfINMZ9v1e6CBvl29F+x1FEa6ra3o7wA1GMGnO87nQjABg1+7kHLLO4qyYVvl29ZaTyHwhprPzcJashta0SCKeBVpz8nTsj/hs/xnO/Rm5yvHcP5OznvASniUzKXpX1Qqn8YSi59mR6xz1VHOSl2TYlJSohG1e0OqXSYm72Z2cRUVaIFFMbWynll4L7yRiuzOdsKgDRSecrcZweNOaFn3Uo0xofOtNj0N74IAmJWErmI+dYq6BgsIsJ+UocoQHRFEkDWDIHVgWS1yX1+K5CY19IFl5eAyeW6vTcMIsn3Ho4TziOEbT8z28Kq/4GUxnBirFFaCBeTHHIl9ARTTFT34SLOepJ9v/w299iF/5f/8KojHCF599gf/wj/6HP/w9/6/w6z/+C/+x/O//DP8Z/vrf/Ov4yd/9k9iUG1zlVyizkua7WAutrHUtxmkUM+wyW8o9anA5B62VxqzQBQvkpMSmoM+mHmucR25K364oVQ25CbN8xrNxMujQ4bkh/eOqvMJoR3y6+5TnlI4xjCz8g5n7NJxwGk8ydT50B26GI8o63UTfRJmUmBdzHHYHPLaPuMqvJEQsVrHopHVEHnluidItkgKtaXE7u5Xkynk6x938jhQ3Z+T7i1Us92tocr84fgHnOAycpTMJuZvnc1zlV2hMg9rWmCdMNQ0em9a3MkAd3CC6/2WylD93GMCGpOyQym4tiTpRFIlHY7TEMOclB6ZJTHJQrGjonKckL3Wmg+24UQ4BkMtsSVlXR7pVmZTIy1ywlpGitPrYHzHP5kijVOgys4zhbaH+UeBdmiXZN36Gf6iC/C/9pb+Et2/f4hd/8Rfl733rW9/6Rr9xIIgEzExrOIW21kJnGvAQ3Ftw30dRJCSOVKWC9Dv1J1khZ0nGCNzxgMf6US6lfb9HO7X41upbqLJKItMdnOit6okG0y9OX2Df7nFX3VEDOJ7hLB8KBXZp1ljshz1KXYoRcd/tJVxlns1hPE2iVVrhakZ04qpYSfGS6hT7do+v6q8wz/gQA8B22iKOqZFvR5pXFulCeMOZYhFtnMG5ZeBKHMWoTS0TvThi0RXoNM3YkOaglvho/ZEwz6u0QjM2gpULk8DYxtj1OzGUhSjy8IJelSQ1HPqDGBNDge7BdfC5O2PU48ta1gxsjDSQRpy6Z1OGxYypikaz8x4co2ibscGiWKDUJQY3CKM4BM2EeOI4isX9HXlOgIOZ13gj+jStNAMtPA06O7PDrb6V6OIpmnBoGZ2cKrrZA4s9jcnKDxHjeZwzzS7iFDVR/P/t2MrGoPc9JxvQcqDNU1JSAiXiPJ7JDAYZ4EmcUNOmlJh+JdXOMs1v8pOY7rqp42dxmQRFKhKJ0CJbyAQhizNxmoei2TgjMcyJSjBLZ9h1OzHJ5SqX9+m5eyZ9JerE17Hv9tIUWmdxVVzRLxD3uFE3wtsPKLx1scbkiPlTSrHYuEhkiowUj2BQ0hEZtKEhmuJJzKOxinEb38pEedfskCUZbGOxKTci4+oti6WQnBYi1xeaOu5PD59ydeqZmhc8JjN7kU54IxumbmKQU5mUGEGD93k4SxR52FykcYrr9GVia8Eo+YDcOo/nl3X6BYEW9JSBOBCoAwqK9IbiGrt+hzzOsSqY7BjY5VVeoXQl/SwxQ9NMZCSYTCmFUpXoXY92aKE9TZ3BWDa4AaanTtlYIwVympBcsak2IicU4gTIJl5kLOgawxX27fxWZDCDGaATTWnM0OHJPOHQ0BugIy3vnI889v0eT80TTsOJrPip51rZU15wmk4oIhbQy4IJfOeBsqlglFQgjSW886Wm2TiLM1yVpPMchyMLAW9xXXACuet3GO3I4Ky0kmHJZCcQ2OGlkdNK49AdEPlI9OTABaeXVFhmJOXM8plgbX+j/Q0mr+YzRJrJ0pOdiGWdzpiaSXT89VgLhUspGvITzfeysIUk3QYdbzu24heaOlKTQnMW4urDebU9b3EaT1gsFtiUG6yKlZztgxlYsFw+OyjImf/tT77NaXLiv9E9/6P8+lN//E/hx3/Xj+Pf/SP/Lj759ic4nA7QucbH3/6Y6bmeacqhFglc79jGkhKaqQyDJ5JXeNXg595ZFvGTJ21nkS24scvoR3A5ZUzn/oxdu4MbiRyNokhY9bOCEfYZMiClofipeRJvT6xiuZMP3eElYO8iKTuNJ0H3Kq3kuQ7ejd73IglM4gTrfC0yMw2NVbaCg+Pw8+ILg+f3ViYlEbpTi6M/4nZ+K9CCXLMID2mgOmKNEVCsvevlPTaxQQoiDZ130I7NtbEGDk6QnKMdcegOkokR/pzd2GFTbBi4oyDPNcCawoMSMeeIelRQgKb5ezKEaQzTgM52uKvuGBR12fIF+tPbxVs0hojXq/KKA0ZHb06q6LnIkxyzjL9mrGPB0wYFxb7fo/LcYn7Trx+qIP/bf/tv4/f//t+PP/gH/yD+/t//+3jz5g3+xJ/4E/hjf+yP/TP/m2EYMAwvGJjTidzxRHNdP1hqwiczYZEzifLUn1AmJQ+LS5x9WG0XCVmd0kFNnYTnwPNSqU2NY39kxK2O8eXpS2zbLYw1+Cr+Cve4ly5v22xpdkxmwrIOQQMh4lhHNNHlcY4+77HrdsSAOY0BjCw/NjR/hkSq8JA0fSNBO7ezW1ljz9M5EFH+kmuasYL2aFNshGDhvEM3dPyw00oQeQE1N9qREb0B3+epv8zjHFBci4dJi474vzfFhumfwwnN1DBwox8lTW6RLcjWHI4sDi+pY1oR4Wc9O8K93zNJ7hLsE2gtwTnemhYFChz7Iwv5gZOEcSIPOaQ41mONdbmmUSwusc7WYvh0IBFl8iyKrbcMdMj22OQb4pxiUj8mw2Jvls0kKOa2usW5P780Ds5hmS8xek6WAiaqiAuhSDw3z/CRRz/2uJndkAISdJaOL/AiW1BqdcFGzrM5WaYXhr1xLAqKnFKa83AWw0mYTnrvxRAW+MDzdI4iLjj1A6eKZVpSC3uZjCUqwXVxLVgs550chLOExrYoi+RZm2UkRATJUAgAWbkV0pQbjDCVhQMDESZOabTW6MGCo0NHx7knDWCWky9rPdn/yCHm7CqtZDqTxZlM6h9rmoDCRMVrj8EN+Cj9iGFbZpJGFBFwnV5DQeE4kld/VV5xsjPxEPxo9RH/eX9EbXlpZgklOOt8jU2xoa5PcasRRXx3nptnfO/wPWQqE856MzY4DvSgRNHFewBqygdPWZVv+ZkdBrKd1/kam3JD/8hlylbGpWjQM51hkS/Eo5CqVAYLESLSBfoDjt1RUu0AyDTLOotklsCAIS/twFV5aAIWKdnGgZKyb/dwcJhVM5FGhGCRh/oB79w7lHmJm+qGHoyRkeFJRD1ob3qR1cSKuQMhCCVITIJ56QcZ0AAJI0FPbr3FqiBWrps67Jod3tXvKEFJKNnqTY8vT1+iHmoi7Bzlb2lCr46xBq/mr1BVFd+Fy8W4yldM38vn0swEnWsY2IQhRCBlBQNe0P1ObkJrW7xv3iPyEe7mdzSvXv69EiV0xuYoFL7BwJvECSJH02owsZ8HmmQny3MqpC1rf5EkhQLD890/Ghr9vPOCfIx1jKvyiu98RnRjCLrrbY9tu8VT/URjfsFpYhKTLtFP/cuvY2Nschbdnelw7s7UxOoCccwCT0da9PXWWZGGXZVXlD7CYdtsBT332377b8Mv/PIv4D/4Q//BD1My/K/y9R0A83/OPz8D+K1YMPvtHv/g7/4D/IO/+w++9vf/xn/1N6C/rQW9dz+7J8awIBwhjmLczUgkeWqeMM/m0InGvt8LzzrcL0H6F57f43DEpqDcaVNtGPbUHul7ylZIE6ZBvzu/Q6pTvJq9ElrcOLCJ6kbKwN4s39C4PDHAJgTN9ftesInNyIZ38mzsdMLnDRGgPTGOw8QApcpXOOEkBXRonJuRfrJNvmFNYUY2AO0B65IkpcEO6MZOiEth6JPaVPwLX56/xDCxufMRsw1CqnLIWFnkCyzLpXwvieI0u7e9UFs+P35OShPoowoDrOCVGAxrrjIpYY0VP8ToKZEMG0h4iNy2yJhoGyESGW6e5Ng2WwF2BFLWZ/vPUKQFa5qL7GVVrGC8kSTnQB4b3IBlSnJMERd4d3oH2/8roqz85m/+Jv7KX/kr+NN/+k/jz//5P49f+7Vfw5/8k38SaZrij/yRP/Jb/jc///M/j7/4F//ib/Ebx2JCCuv5u/KO0gUzQcdaKAVRFBE/czENIYLgxdI4RRpzBf7UP8E5Tg7SOMVyvpSo8ColfcNai6f2CfN0Lp3ZqT/BxZwYa6Uxy2dIkxTdSD1YCI2JdYzc53DWQScaH60/El5xO7b4aP0RrotrNKbBtt6iTErclmQEW0u9VYQIq4yGxN70WOdrdFUnU6cy5mEZeTJstdcSVuIs412h+KBZa2USN7lJDJFFwmlSPdZobIMxG6kjv0wEHBwylYmUYDTj10IEUk2X9ibfiLQnGEXCGmjbbCUFL5AVQupqpjP+mh4yUTIga9c5/pyhaMbYlBsc2gMRldWNvIgGBnflnTDpB3cpAnyEKZnwdH6Shuvh9CBGy/v5vRRXwZUeorybscFtdUvpidMYE77A+2HPCx2KGuPLQRGCP9bFWkyZk+XBV6UVn2PNZm7f72VKFqsY24bJYs3Y4HZ+i1W6QpLSR3AezkIRAiAGlA9XH1I+kpTox160viFVrZ96PEwPlCxkuci1BjOITj+s/MZpxGE4CNM+aCZDslyQUITiBeBntet3wuZ9bp8xDZPoKpuICMUy5lYInpuu9+f3eD1/jafuCbfqVopxAJIYCbwk8wIQzXgwzAQ9ex7nmKdzyq3GTpJ75wm9H2EKaBx1+iHKGxF4+bgBGIHrOSUl4b01hlkC7dDKpDp8VpObJFkz8G9DAEyRFqL1d3D4/PQ5ABYvYpyLIsyLOc79GY/NI+D5fV9X10gLvktBOx2aOgu+u9ZRYtVZosfakUE0p/7E8yApMctmxG2lCxyGAz49fMoVrebPbDCUGT13z8wFyJd4ap4QRTxrFvmCzWjk4LVHofg9pTqFMUZChzbFhgWlJtYveC5CTPym2NBjMPL9CMnIQf+uIupGW99eXnGuqYN5K5xTSqmvpVmG2PMyLYXZ3Aw0cocY+lSnMtHVWiNPLxHVF9RgyDVoxxbn/sLfz5f0w1yINVnM5uu5pUQwizOsshWquOL3e0m+LeJChhC95XsYPqcgW/PwiDSbCuOMBGEpxWZdR0zEzFNyySc7SbP12DwiSzJc5VeyLY11LNShZbHk2aZiMZ0jArfH+mWl75yTCWGe5Ih8hOvFNZbpEotyQVKX8ljECyaRgkFw23YL1SpZrYfPLuh6PSgXW+Us6OfZHB4eP/2zP43/4v/1X+C/+6//O/ylv/CXfpjS4Rt/fQfAb/wL/Hu/Db91Uf5bff3CX/4F/LE/88dw88EN1uUad4s7GGuwrVmcbYoNsoTby0W2wCwjLaq0JY6W0oQqrWRINXMzDlGGWjaNQfNsnMGyZCjgVU4546HlFDhLuWWxzopKIGy+Qorvftwj8hGW+ZLBhJeE46f2CdfVNVN7I49dvRMz9zynRCP4YcKzmUSUalmQ4e4ix22wTvFYPzK4Z+CGupkaDvmGA7zlxvt2dsuC/DJouS6v8eyfCYOIaeA8mIM896MjMSpLudE5DSeUGTeFxlMOFMg0ZVSK2dtYg8f+EbfzW6alRuSEh8Yh8OaDcT7VlA5GjjVK8PwMZsB+YBO1zEhzG80LPSqEFhpLRjs8IRv7bo/T7oSb6gZVUuF2Tq9dMzUyhAjDtKvsCq1hbaomhXWxxmk8fcOn/YcsyJ1z+Jmf+Rn83M8xLvenfuqn8I/+0T/CX/2rf/WfWZD/uT/35/Cn//Sflr8+nU54+/YtnvtntKqVQKCr5RWuqitYb/F597mwfSc3yYRilswkyW60o+iKc+QSk3uaiJSbZ3Mcu6OsLYMOzziDyERcvSORNDkXOVk/bJstaSMXTvAip+EmBPfYiBKFZmowTpwYLbIFkYk6xszNsMgWOPQHpCrFq/kr6UqX+fJrVAjnGLRST7U484O+aTITnvtnODjs2h1sTj3tOluTGDPVYigAgGXKgzwgx9zkkGTUcfZjj0W5AAAmWGomU4XLJYszbAp2yOfhzAND8+/901rxkK4ZLgkJUTCjBG4EgkdgKodNQ22ZDjn5CaMd8VQ/oUor9LZnOE1SosxLGmfGVlzeq3SFXU9uaeDVj3bk5CDS8ll557lC7HYwjiv4NOLP6Ka6wevVa5S6JLdWZzQ+uQid7VBlFfI0l6Ij6NYCkSFgJANjWaQr5Rq2sULd8d5jkfFnbTwxZlpp3CQ31GMbkhiaqRHdc17kUrAOZhA8WzuQcescD89EJWgnUomCTnmwA7VvKZuZIi6o9+t4eAfk2r7bywWbx7nEUBtnsG22sLCSohqrWCKWu7GTKO40SqXhCX6OeTaXRkxF6mvr1giRrFTDdDLoNHvLyY8bnWwN0pjJsMGI1RquRDOdQXky8FvTYpYSFRckC1VS4apgrHs91Ch1iclP2LZbOEfT467ZsZC66A995CXR7dAfGJZUXUvKa5ANjdMoBWEapxIQFrCRNWrRJpeaspUs4WW963bY93sa9swApRT2zR5FVkgDYK1FDA4nJjdxom0pozPO0LeSFLieXeOqvMKX5y9x7I+yDdGKtAzvPMOLlMK5pX4VERg2llQsWuGRpYxWH6aB5r9pxLbbSnBSSClMNFn8k50wUzORXWmlhVAVuPxhguy9Z3N9QXHWQ41TT1Z+PTKJd9/vcWyP6Mee2lrbyQWXx5fNQsKBgbVWCFk+8khMIsVO2MyEAuHYHXEcj3g4PyBWMW5mN4L4C2a0wQxYpAv6TjzX2lVSCc4w0/RTmJ5NpIKSUK0g7QpJvVppbpBMj9Sl0LHGh8sPpUnK4kyaqNjFsgEJ8eMhhCtoaMM0T0Pz97qY7kY3Yp2tkaUZbnErG5Ev2y+lgdLQ4iVZz7lhXOUrzNwMt+Ut3tXvGP89UbdrjMEKpIOF8zOcp2ESGRqNY3uUIdB3ftt38K1PvoWf/j0/jef9M/7u//Pv4pf/77/8w5QRP9TXP28y/k3+PQD4e3/n7+Hv/Z2/hz/47/9BfOd3fAd//P/4x+FjNmS7gZK9IitQxPSlhC2UtWys5/lcGP3B1Bu7WAYbISynt71QzNIoFT0yInpLiqgQKIP1VoLerLVofYut28rWtje9yF0jxWC2x/oRd/M7DsUijYfmQdCgQRYTdNfGG9YLCUEYp+6E43ikzOsygItUJDkScJehZ5SgQYPIRuJTC9+7VpopmH5CN3CSH3CcSZSg6RvomDWPVpxgT9OEIRl4psUkbjVjg3fnd6xZvOPAMOG2N49zymwsUYORirBImRGz7/dwngO+RCcoweh640m3Gt0oUAmAEtjwDhdJAWMMopjqi/N4ZhCZUrgr7zA65ta0thUJ8mk4YXQj8igHPGi8vTTIvWEA4qbcwPXuh3gav/71QxXkr169wu/4Hb/ja3/vJ37iJ/C3/tbf+mf+N1mWIcv+5yL3VbaCVy+Ejm7qsOt3KOKCmJupw2k40UxoJ8zzueAP+6mnSzhOoDwPZqVZeA8tI9o9GPlaJZXEVs/TOScAnlOfh/aBOsy4Qlq8rO7Pw5l0hnKDZbpEmZZEXpkeiIBX5St8uPoQ8MAXwxeS1BbWjmGKEiHC+/Y9Kl2hc50UL7GKRd+57/ac9CNF5CIppiY3IYkT3M3uRAuVxAmascFz94wyLnFT3OB6do12vBiCmi0ez4/UxXuLw3hAalIUaUHDoJ2YOHlBj93N75AqGq3CgS4TMe9Ef53F/PyasaHBQ3NlNU4jTuNJ/p5MkC8a9yzOkJkM63KNXUMndpAuuMlJTHYw9g12kLjwdmKSaDgsHGi4KjXTHYu0QKYzGGs4aQATKL+7/y7ggfv5PXKdywsaRRFuZ7c0D3sv6YKDow553+5lSl8PtdAarqtrFDFXm2XMIq+femRJJqtw5x1eL15j1+5w9Jyg7LodpTNQUrjUQw2X8vtOygSudcK11UrDgMmm4TlSlqEe8GDYU1LRMd5S5pPFmUyclVI8cBKagbz3YsCJoojF+uXwD7HBHl5MYU/tk1CEYs1j4fXiNZquwXv7HufxjCqtcF1cQymmokbg5CZMrCfHoK1Q+MRpLIXMaEYmwcW5HJY/WNSGQq63PNRDYM8spSv+NJxwHI7IR4Zx3FV3DLUYO6HDVFkF7zj1D0bPcRplgpHHOXSs0fWdhKSMIwOBtNdobYt9t5e01rqv4RS3E+fhjCqrxLeQRInIziY34dgdcVVeMVo7YvqijriW3bZkp8+SGeCAp+kJcR9LUFGsYjHtAWxyw/vfTR0TRbNEDIq35S2sI+Xo1J+w77jhOYOYzOf2WYo24wwHCJ7//SybCRUHns1cnuSIWqJH7xbcSr07vUOVVpjnNP+F9Msg8QoazmZqRE7owQCcRCVfe8/CyhcAnpon7Js9SQ22hYscE4vjFEnCJF5Jurysucu05BbBd1hmS5nMT27CqT9xO9LRAHfqT0hjylq6kcOAk2UT140dsiTD6/lrySQYDKeBq/xSmFw2GEGbHYJK6rGWaeNoaQK8qW44CU9J/5rnc2yKDU3el5TNdbGWxjpRCTbFButizWmo4zCqmRpskg2DvCbK8/KIEojJcjXvQbLEdXkt3qREJ7DGipnTgAbaT3efMpEY1L2fpzOgSNuIdYwszZArDgCs41b19fy1ZECEYrweamzPWzy1T1hkCw4eLgz01x+9xpuP3yDN03+pBfm/zK+/+Yt/EwDw2f/nM/zb/86/jU9++yf49ttvM+mxp+dKRQonnCiXilMpzIuU96nTpEGFpiqYlZVVnJjrRKbpwRzpvMMiZ0jXKlsJilgpJZ61TGVMzI0ctvWWyakXjHCRFOTm25FyD0e5x67eMU0z4bMdkpNnGVGgYZD53D7T72JSKEcPyHV1DYASnCquOOkdTvDwOLQH2In1yrE74oPVB1ITVBmb2c+GzxDpCN9afYso6f7IAKXZLeU444g4jeEih329Fx9USIp23okaIshKzgPvnFWxEq8RwOf4uuJwojUttvVWmulNsUE98swNlJyr4go3sxvmHDRbvD+/f6kLPO/LydH4nuoUOtV4NXuF80gT9lPzRGkqcTn4ov8CztAfcF/dI81SOR+PwxHPzb8iysrP/uzP4td//de/9vf+8T/+x/joo49+6N94mAYcpgM0NF4vX0vhfOyPKJICd7M7mikdETN1z0AUZ53gyBLPWNbAr9bqZVIKUArQu56dkI5oqFCcjiUqQYwY+3Eva2vredjczEk6eG7IyF4WSzGvvc3eYlNtkGs6cZf5kn+mC+otHMTBIFnqy8rZlTJZDYSFwQzobY8Plx9i22yx63bCKX1q+RB8uPxQuKd1VwsbeBbPMM/nZPdeIn+/On6F1nEapqFxF98xVrzZSpz5+/q9aOOTNpGfU5mUomsLZq16rIl0mwoJLlGRwr7lC7VMlljpFfWzF+xRohP0US/Yt5BWFtCTVVYJBSGN2LhMfgIscZXBcZ7HObXfA0MqqpgvZj/1UJOSJmV040s0uunxbJ8x2Ql3/g7LconcUAZwHI5icHp/fg/gQiiZ+Lk/989yQS5ymnM2+UYuoC9PXzKaGApQwBxz+ZzD9iOLM9zFfG7ziUlt9VjTqHkxQo6WhWmiyOAfpgGH/iATxsCZDVPBMAnuXY+2bSXQJUzxjedBVSVstAJ2L2ChENE4XSSFhCQFrfQ8Jev7NJ6EgqEUJ6DOUR4Vxy8ko3WxZliR0zJhDzHOgx0Qg2zzgADMXS5BTCE8CAB23Q4A5FAPG6wkYmPrHI0+WZyJRtk4RsVHnpOnXbd7SXgFm5ygb548NyWNayilcpRPdaZDNEXYdTsx05ZZiV2/wzANEghybNhsFDMa25xzOJgD9bw65UboMlnR0Ixkd+PLs6tzDNEg2LNu6pBGqTRISZQwldecsUyWjJ23LWaYcUoUOZH5xCrGsmSSb5ChaWhJsS0SejSeu2eajyOeeWG63w4tefuXbcOr+St6LTwYJjUCKmPy4GE4yEVz6PhMBkxgMF2FM2B0o8g1uqkTFvAsoX9jcpOwxYOsbZbPeIZ7Ps8BpZilGVFxAdd4afQ71cn2bT/sMUtmyDQn5/thL436rt0R05hQxrepNrDGorUkNkWK2u+w8ToNJ4kbDyvoY39kEN2lgArPdupopB/cIFuUQP0JmRd5fKFMXN6tznRw1qExDUY7Uk+bzyhLHFqi3+ICCRLRwPeGBuQyoT7ZOw8fX3C+mrriYFgFuF0NxV8UMadila7kfA1hOFXMIQk8DfxBb1/3NVfwXSTT+EW+ICUjpUQFESWcve2xURuhYPmIcIJ2bPE7f+J34r/8b/9LbL+/xfc//z5+7R/8Gv7Or/ydH7oe+FF+/dJf+yX80l/7JQDAf/7/+M/xkz/7k4xo77gJyZHjZE/C4A+ErzDYcJabxoAsDJPpH/RiTHaShONVscJoOQgJuNrwPM2zuXjqtNZIQX9TnuTINM+nKqmQJikKMKDt6fQkdJNAQtKayc6H/oBltsQs4/sbmjtYni27YYfr/BpVUeH98T227Rb3s3tuMC/m70QTrdhPPc7RGe+O9KHMszl0pIWYUsSFGBpjFQs+GeCfeVWucF0SDbhrdviy4YZnls1wP7vHU/SE9/V7tGOLTcmcGB1x6zC5iUZ7Z2BguAGqVhgN759mbMQo6sFQrDA8KGOaYl1Er1WOnIGPw4nm8EsQXKYzkviiSjxHh+7AjIr+iDzhtP62upXB2WDpC9GRFpLe5Kdv/Cz+UAX5n/pTfwq/+3f/bvzcz/0c/tAf+kP4h//wH+IXfuEX8Au/8As/9G/cTz289riav4SVDNPAAvdCUVnlKzw2j9SBXwrZPM0lpCJ0NUFO4R0T24qykLXRMA7oXIe6r2Emg0XOdC4XOdElhyj10Y1yIK5na/SHHpPhh+LhcTe7kyTPkD54UEzYrKYK9UTTovdM/Aosbnjg7eqtTP6ddxIwsMpXACAaWuMMzuMZ/djz4bmwjmMfo1a1mKKCyz9WlNYcugOe+2d8e/VtFFmBp/qJeB8ViQbZ2ot+1Vl83nyOp/YJNyVlFIMhQktrLXrCEKf83DzLlOupeeLaRvGhDlOV03CSYqHVLXrTU8N5+XN67yVpMhhivPdQUCIHUJGSlLNZMsOjf5Q/t0qUTN3DxWKUQaFfJuXWWyySBR6nR3x1/grwoFFt6tGOLT6dPmUqWlqgiiuczZlTECisszWWxVKCOdbZGouCQU1P9RMGO+BudifIxYC5uiqvJIXMe//ynCb5i0b7oicNvPh6rMkrNwaNaXBX3X0NnxTSwKLL/yVxAuUUBgwwqZGgptG+NCPH/siC/JIo2kwNNuVGqCNh0zCY4WXaG2lYWNH2dlEnRJBgQhztyDXc5TkGIFKTKq5gNLWAs4S+i8EOIhHYWk4pQipn5Sox3UWIpHEOk9QiKZDaVLS8oYFqxkZ06b3hO/m+fU8zT0TZgPEGp4Go1BB81Zue/gE74bF9lLjkUpdIooQJqYpRyk+nJxbhKfXDRVbgO9ffYXPcPMEMlD+1psWu3zHYqd1iXaz5/XiGKmU6k8K7HsmCDxjHtmn5eWUsvM7DGe+GdzQEW9KLltkSy3SJVKdCPyriQn5eoxmJ6hte+LhBHhQKqkW0kM1JN3VQA9+3YFD8wQTbKCKVKPy8QzE6S2dEf7kX83E91siSjF6JZInCFDiPZ2zNlnrUmM/AaGhOCwFKgUIQ1tmhIGmGhsFKAElEmijB43SkWTsyuKquOMHOVijjEhZWUgA9PJNuwUndvttTFoIYWZZh7Eaura3HKl9x6tszZbhKK/m+w7r50B949iUMghm6Ae/O76SxGewglJPb2S18RN9KMIBppfH93fdF1x0Qj3AsSIJO/Kl+wjLnWRNCt+BIawmhRKlOset2bDYum03vPJ46EjhCYFyk2Cxr0BuECGLiDgVkZyjPDDSZ0YzoHZuM1/PXsrFtxga7bofr6pr0De+wKBaomgqjG2FG6mxjHTPrIpsjT3J88PEH+Ld+8t/CaP+/1P1brG/bmtWHtd7H/fK/z8u67Ms5dQ5VBcSBIGEDkmVi4YeIQpgIHhIQCFlgiQcjYgmrjCOHIoCEVQ62EAgIMhALWcICP9jwwINxgIjwQGRcQOlUwdln77XXWvPyv4/76KP3PLTRv7VPlCKpbVzHzFKpzmXXWnP+57h8vX2t/dqAX/5rfvm/cAP5V79+2//2t+F3/x9+N37db/x12LxicDIE7UbTNMmBUFqfTYg8zAVP6a2ZCIBFvBAxbZgGLJMlG2IxsZRotuOWcclA89iwzTLfkVo2C4dKk1ff9By6s4jPgzikVekyXLBMCMR4bB4JIVABdKC5pZ2fk0VciIh07a5QEw9id8s7CW+jA95X7yl2zCVYSvNQcepO6AaGyVWj8OnqU+yKHcIwxIvFC8mu2MnKITDSkWTTyphBc60oamnHA2wS8Z2+TNlG7olty4RI36qvJNflCUWH7oBTfyK6MGWosjOd9MLc5rfoJ1oEBzPg3J7h4GS+3Dd7fHH6AtucJUIxYpKkxgEP4wOKhL9PzCVpZmIPhmeql3GJU3/iQN4PH7Z2ehQbzdf5+nkN5L/yV/5K/NW/+lfx4z/+4/iJn/gJfPOb38Qf/+N/HL/1t/7Wn/dffFPcIMw/+Oa6oZNqdgDYd3ukOgUsFbQ4jGVw8+HBSHMN660saZyimAocO6reh/ogFzkcBwnbWikj8p5QDbJYlaZCmQc5YhXjbkGLwzc238A4jXx4BSyDiYNYHt77lgOrhcWluaAJGc4YHau218Uam/wrrPaZwnHtrkLqOPdU0vyQmoYpnHL4/Pw57rI7sqxnv6IPReXLXHybh/aAICBYPwxCrqEnhV2ww315T5TdXGiiHH1Yi5j/7Lk74zJehADhU9MeCWkcAy8e/eZDZs3YsMJ39pY+N8+IdYy74k4OPp6JvMt28ntdJ2s469CjBzQDHc3YyEvLWB6cXixeYGu2ZPNOHe6zewkaPV4fYazBXUGGamtahEOIXOVYmAXaocW7+p14TEOEeG6f4eDwOn4tLX5Qc4lLQAXPWiuVwwD9t55PCsuCB18rfOpOMix6f5rHKPnCGGMN4igW1UtDS5W3p9F4pKYFh3cz8aCRhgxvBZp89DIpGbYJImnDdM5JnbzHIq6yFXSrxV+cBlxB130NAHwpTxxW0iCFiQwDYIYqD0CL12A5WEFBcHQP9QMGM+PvHLMX9+U9VhnRmz4XMbgBq3jFchVoyXD4DdA0TXJ4deBB2hdNeZ/i5MjY9jav3pAH244testB1DgDZRX6K5U/70X3Xv7LeOG2I97i3JxZqKKo3viiDV+jHiNGqlNsF1uWBs0v2FXKdtJzd/6ASXNAHudCQPDBvctwEVV9X+9x7a8kSoUlrtNV7DijGWUNGuoQsY1lUxeDKrqZDNI4lSKnfqLyVg81CVWKh5/3w3tMmKQzARGkTdcpJwNtERfobIdLx/r5ZmigAy2bO68A+dKjcRoRhqHkQAIVCO4MgFj/vNBQJqWEv83E37eDk+G3qitMdsLo+POEIdfpveX951+IoQqxKTfEW2Z3rLm2DtfhiofrA26KG0SKiMje9jygzEUl0zTh1J2IFO2u6EZmZTYpsxE61KLoeTuQf5n6dTnAZ4LUe4+0VBURGdHeJnVf3mOVrpBGKZ+RM7HBc8xfli9FMBodn7tpyHcaFFfvZiIu7bF9xDJe4kXxAv3I37OCwq7YIVABtvkW5/bMgpL+imqq4EaHImX+Jg2I6It0hCz4IEi1Q8sw77zF859zGqbI41zq5D2Vpjc9hnHAGWfxEG+yDS07lgUyHkrgN7NhEAoH/+6TO/xnf+M/w1/4438Bf/O/+Zs/77ngfw5ff+Y//jP4M//xn8F/8d/+Fyhf8lrHDJKoTc0irJC2Bh9CvvQX6Tnxh0U/l3iEq8cR+gPrLt/BTpb+/pn3v0k3WKR0xA/jgIf6QZqinaXFsDMd+yEcD4He49yPPbKQDZ8qUtjGW7RBy80vrEAlsiBDEzS4y+8wOB6MlVYSYDy2R1RthcvILoOlWiJWMaI0grNOmpz39R67YgdnaY1apLQRP12fkFvafANNEcBTg5qRgIG65zOsNjUOzUHQuNt8CxXwuh3NiElPMmM0Q4MiLnBb3EIrzhuhDoWO5DHPwzRIoaACrWf7di+EllN3QtVT/CgjvvOP3RFOfQjIJx3JYFmSSRHRhElyFnmYI9UpMcFzg/oyWUqW6ut+/bybOn/sx34MP/ZjP/a1/0L/lUUZHyZzWMFMRhq0rv0Vj9Uj7so7WZMCEOTMOI2izsaKSChjucbwtc6X8QJoKs+n/sQhJ2QwKtaxpIz9CzwIArZymV5qt5OI4ScfnJwwkU3rPrTtRSG9wft2j3W8ho6Yxn2yT9ikG/yim18kvm0AgkfyyEHfTOVpL/tuz2F1XtNPE4sodsUOqaYH9tTyZOgsL6DWtBL4GO0Iq+hrK4JCbpZTfxLMpHMOtwU9ZafuhEQn6MYOT90TPZJ2wF1+h022QRZybX9oD2wSK7ai1uVRTv55z+BREXKVViQFlFM4tScZeHxwq2s7/Pen/x654g27ztaAg6DxvKpTDzU2+YbDVLHFpbtglfAkbFsiFaFot/Hrea00wjAUsojH743TiDzNscUW5+6MZ/XMQpuQPko/RFRdhVW2YkodbERtJw6Yk6JXb+xHWfGmIUtJ/Fq+M51wtj1lxP+OnHXIIhZenTtaItbZmkMtLD47fwY4Yhp9IYvH1jVjIxYdvyI3IH2iG+kVzMKMQ8jIMF8RF7S9DC2DqEGKPuxR6g+o0X29lyG4jBgAHMxANXdoxG6RRin/89mTGocxtpph3/viniUXZkDjGuGcJzoR1VVpDiLi2Z0PMZuIh9TOdFKeNUwMBnu7DQA5mLSmFaLGN9bfoNo/XtEOrVgp3MQgMeZadKUVQ44Dy09iHVNhjSIsNHsFettjFa3Ec5gMDBM+VU8yXMMCjWkQ6xiLbIFdQWJCN3Y4dkfAMsB7m97Scz5ecR7OeKgfcFvc0mc9dyIkAVXLAAEWGdVQzMjWZbyUwHQYkETVDGR+1wNT/stkKThLpZTgIp8rXtdxwOCtAduFwzjEbXErhUwudmzmbA8sKUl36CybJg/9AQECCW7GihY2n9tZJAy01UONx/pROghO7Qn7do9vrL+BXbbDdWCpmU0st3pxgY+Cj4igrZ8xKQYyYx2Lf/SxeUQ7tvho9RFeLV8BCljGS0ADD90DyUOzFSCLMhEvHBxxcPNGxAeBq77CxVwQq1jY6j4P0owNEpugD+kh79WHNsZAB3i4PtDaMivWYUDSg7UWj+YRdV9jKiYZ4t3khNGeRrw/rbUo0kIaas/2DDiw5K6vZWMlA64KkMUZ3lfvsU7Xgsn9auZjchy+no/PZM+nKe6zewC8/px1BBbMB5bRjtLMCEA2JD4I7f3ySZBgDBgo9oHrdUqu+4vlC5zaE/qxx9EdobSSZ4Vv1P3y+iVRt0OD5f0Sv/n3/OZ/YQdy//Xus3f4xa9+Mb7zne/AjQ5JmmD1ioHIXbEjNnRspHBtla7kua+gUMYl3lfv0Y89XixeiCXLI0S11ijCQhqJi7iQDbVH5MZ9zEPryA2ib9/2dr52bOkCGPnMCxBgwMCOlkhL+U4apggVxczGEYSwyTcCsoh0hAYNS68UN25mok3QWMPv0QK3xS3xvsOABzxgcWHzqbfh5lGOJOJzMY+YuTKTwSbZoExKVEOFY0PB9MXyhbTfakXwQF7kH4oO3YihH3jIAIurtsVW3ge7fEdRcB7UfVZLKc4enu9vLAt+6p5Fj9XI/plNtkEYhHh3eSftqV4UeWqeMI7sSfD44HEaAQ0UITcNm5R0r35gtkRp3vtj+AtkWfnn+VWPNbShcja09E2WcUn1s35EohMGESMGXHz4zCd7313eoe5ZJ90NHc79GWaiF8irIZuEntPwGqLuawYpVEA1b1ZNvaf6o/IjsaL49ZMPHUhpkZ0+sNEV+ZRVXwlWx693Ep3g5folXpQvcFfe0Vc4tpgcy2jasWVldbYm53UmWqRxii228qLUWiNOqLQe2gN9ippIoUVKUkYWka/Zj2zZ8iraMqHdwnun66EmalKHH8KDbpQbSSn6m7XSqLsaUzZJqDZQAYuQHItgltkS1jJ8FQZMl5dxiU22YcB2JpBUQyWEki9OX6Aa+cK6idl+FwZUVMeJFdbeguMPRVppRGEkw19vefjw9AL/wvSNjv5AMk0MvAXgyywJE+yrPcH+jqHSumfV+i7bcaU+GVEvlFO4tBcoTbtCGqRQsUI3cAsTKXo//TDgH6yTnUjUGGk10I7//ZeXL2FhcZPdwE4WYRhSTZh/xs50CFXIMJ5zuC/uJYiaRRk/a2Pk8/J+19a0YvGJg5jrxKmlCqdAdWwmqWRRxlBkmIra59P7/qA7uUnWec3YSCmN1gytZWHG9LzhYHjqTx+KGuaAaIAATjt0Y4dqX8mhKA0ZGPVFSz4s7JF7FsRN1T1XmFEQCZZwspN4GjvTYZPx4V4mJfIxR7pOcWpOsNbiTf8Gh8uBGzUd48XqhajBVV9xIIpTdEOHBg1yzfXjMlnSK9iTq77Nt+inHk/1E07tCVDAJuOwuwgXgtHyQ6rf2nVjJ10BoQ6llVJphXHkg3pU9JOqQMlW0AdA/Wc5GW5lfP7i0l1Qmxp3+R27GGasp79vm5FWD1c7xFEMO1ncLG7koBUH5AWvk7WwxrfpFg8VA7utaaG1Fg+q6pVYxCbFeysykXikj+1RPhe/PbCW26MXyxcMU83M+CIuRFUfJ7bk1WONoRhEdNg3RDZ6tS+P+bN3tsPQ8570ZUl+K+pbJwGGOkdLGsxkJ1S2gtNEPDrn8NnpM3y8+ljC49ZaXM1VLBibciOhWq+IDSMRacuUxKTBDeT1hyEP5xOVfo/RVOD3GKpQkKyDYQPsODCAelPccDsTB5gU8ylFXODj1cfflzPZ5TvBAfviqlN7AiwwqEFoTf4wkwQJlVTL5+06W6NAIb93/zv3W592bDGFExtpNb/PSLPRNI1S/pxzUH+ykwT+da/l+RPnsTzHAMiGwCmH+0/u8af+2p/C8XTEYrXA09sn/MTv+olfqPHin8vX7/udvw9/9D/7o/jx3/nj8p/9ib/2J/DD3/5hee8Gmpjmrw7jvlq+n/iOOHUnaan0gqF/HramRZEWCMHyqWN3JA7XQWhbTd/gsXvkNlw52cJ0htuuc3tm3igpBR+ahRmJTVOHVbT6vm4FX2DmW2k97WkIB3QhFf3vjd/j4Xakze5cnbGMl+KnfuqfsHWcVbZuS0b3/H6KA7oLkijBoT5gna9F4b52vOduihtpnfZ0JT9/fLT+CJucBUbX7oooZK5jk20kPOmffZEmkjqxidC8/IzYDHy3ZGEGWOC5e8Ym3eA+vce76h0pXYrZkzXYA+LFIeecWOfymAcLD5VIwoTdKmOHXbHD69Vryan4gsCv+/UDG8jLuKQ3XGvyw2c2tg+9vVy8pJ9Tf8BRVX2Fc3sWP9S1vyIPefEZa/C+f4/KVLgv7qUm2jl6+dbpWhrO/KAGzRKep+sTkXnz+vzYMjAEDZSOQavXq9dykZvJSMjr3fUdPUzZWupZAwQo0kLIJ5NjW1891ugdH1hJkEgQ8Xun76GICmxzFt2MdkQZcpVb9zWCgIcL74eNgxirhEGvLMyElOAfur7a1U1OiB/WWhxwYNskHOquxipb0dcGBzc54boHYYBze8Y230r5kg40tNFCIFmmS1EHVtlK/K55mLOi1pG7Dgt8fv0cz80zFskCL4oXXCuZgRikeX18Hs54anmTL1LWrfuVcRzEwnZdJAsheby7vGPD4kwb8VuG1rZYJ2uqWvPv0xiDbcm2r0NzkEEmjxm61QGJN7AMHY52xDKircfX0Z+HM079STzoFlYU1N7ygZeHOcZoxGP1SBuNCknFcPwZr90VH68/BgBZlXuPex7nLEuamdSTm3BuOejogIzTSEfC3feWBM9Q9tXpzs1+REs8oadU1H2NbqCKmEc5yUWz8t0bDikebQUHbOMtlvlShvbRjugtNyyX4UIluLnKtsQXVdnRCrs4VDzkXvurUAqSMMFoR+ybvRQVeczoIiWl5Kl+kj+3nVpUPRXQRUJfpmcl53FOS8yMurrNb3FUR678FVWRSJP/HgcxQ4Q6QVmUQnnxQ5APziU6EVKJD7vVAxXNU39CHMb04acFr7M5tOXg8FyRSlHGtHV9vP4YzdjQBgUtVg6PYvTkgGW2lM1SPdbiFzfWQEMjiiMWffQMvV6GCw/gluvYbmSnwTbZYsQoJUhaa+zyHQ/LdqLaNvUSSDTW4LPjZ3wpzQg0ADj1J0xuYrYiXVFl7s8yXHjFyH/2u2KHuq+loGsRcX3tX7oAxIbk7Vn++XfpLlhkC3xj/Q08N89Ua+0oA28cxQgCDj6tbaGsQqIYwKqHGlXH7I6ZjJATyqTEsTlSpAkjWGVJSOo6QEM2hVmc4WXxUrzkaZiKLWmcyEz3hCsvxORhTozlxNyN0oq0lzmz4reMoSbi0FgSqRbpggG0sZba+iQkelUHWgLdY89r1V8nXvTwJSXn/owszrAFQ+f7Zg/tWFteRAXpWQG97Upz43zuzmKZqPuabb1DhzzNEVraoRwclKOdLAojyRv1E/MkVV9JgYuxBp+sP0GkIrHO5XGOvmYJzTJeQn+iEd/QBnn3yR3+nf/k38F/+nv/0//vA8HP8XX95/zP/Xy//txP/rnv+/c//f/8afwr/8t/he+nqRdsnyd0dKYjXnYW4NqBAspFXXBX3qHUJfIol3vCAxbiIMYSSyquY4/aMOdRtRVGN+J+QdtpN3RiGbwr7hh+1CHeX98Tv5wucZku0jQcgpaOSNHeGyBAEHPrk8UZ1KigA41OdbioC/I4R9VXKCISnKqxYqfLjC58d30nuQbEc/t2T7KSnsjg9wPpYAZBRJ57IqiddSKMNmODMAixLbYy0/meklXKsHs9MhhdRqVw8/1W28EJ8tl/lsM0yIHGd8uc+zN6y+e+PwgtooXQwIqwwDbZ4tgfxWYYBAHu83t8cfoCh/4gz/nOdnAjM2KRjmQmSSP+uf75+HW/fmADeRRGqKca/dBzuFRsTtq3e+zyHYq0kJOTP9kXccFBY2a37oodSxg0PXZQwGenz/B4ZfHCGNCLOo5s//Mnm+fmGXmc4764x4vyhXiGj/1RrA55kIuSs4iYJk6jFJGlGvD++h5PzRNixfCp9wmWCW+4cRpxbI7QmqrvuT1TMZ5VSd/c5pwjF3xW/9qRw5gnysABdV/jjXlD7rQCdmpHRubYQC15Sny9fI0kSPC+ek9m+czonSbSZ27KG6Q6RY8e1/aKc38WL9siWWCVr2A1W1LLiIeHtVvLRa6h8Xr5WqgV9VBzwJrXxtXAm9g5J8qKRyaZic2k22IrwSbvA17EC0RxxNNze0UapMjijD49HUBNSvBHvlrchymLuBBVJtKRKBA+lR4FEexkJfSRRsQU+oZO/7P5eupEJ+gtPaOrfIXb/BZfnL9AbWpSfOaHiLEGjWrQm15WeN9H4FAKx+aI2tbQoUaR8HtfTSu8wRtop6V5s4xLXPsrJsWw4TiMTMbHK1Jx6geWSs2HJ/nMZ8W6GioYyxKPNEypBs/D+G15S9V8aGEjHh6em2cJ9zj7gfZzGS5IFBnMeUQGtS8x2mQbGfIf60fYyYr/+Ywzv/eQFiRnHRBCquEHSy+5f/g550Q9vLQX2pqUxjJl8ZJSSugv1VABCjK0l3Epdoy650EjCRIcmgO5ytma/tuU4WXjDOqRvvk8ZhjaTAZhyMCQBsNO7dTi2B8RByyWOrdnXIerlGMkQYIhYDDoNr+lR38ujmlNi0tHe9Eu28Hm3HRZy6yK/x364bodaSeY1MTD1Hz/XPsrkiChfSBMEIWsxn5zfcPWvvy1NLh+dv5M2PK+v2CVrzCMA1vwZuLPdbhKc2qgA1GU/Pp6NKP4YdOAhWeTYwmZ9z4P04AvTl/g1eIVyqTE2+tbQbYOE4fRJCC+dJUxMDWaUfzjOtXyZ/o/1zhDnOU0ifc70pGEtcuMRSsucvTSO4PLwPZmYwyCKBDPaKADuMAJpWcYGXT+8vQlJjcJ4aWICwxmwJv+Da2OmoSaaeL3Vo1sC/VWgGmacO7PyN3c7hcEGMZBNqRlXBILOHPu/ZAaTlTHva2o7jmsKaVwX95L22gSJR/sCZZbPhtYBtjnzdpk2W2grOKg0F1RmQoAt18eU3puz7gMfG7HWSyFaGVS4tAehC2+SBZUYVu+OxbRgp+vNZJrso4HgNDxOd2MtE91I0uLkNB26YfPqq/kUBzqEJtiQwtAf2SDbn/GsT8irVL88K/8Yfy+/9vvQ1d1KMoCSZTgL/+xv4zv/P3v/Jxzws+CpT9fp6nzn8fXz/7U9//Jf+IP/gn86n/1V+OX/S9+mdCFkpDDeWQiHJsjzj0PP56i0k303ftWcd8U6XGHt8UtAh1ghx2vxaHCF+cvcKgP4tn3n2U7tAwDz5kTL+qs8zW3ZhPBFw/1A7KAZCw/SC7jJbblFonmPeEP7V4l9x7zWMWoigqBYjuppwg9N8/cMoLz0qogvcXjeH29fDu0QnEq4oLb0pHYUGgIacmX4/mm5Gt/xb7dU5zMtuz1mEhc8gJaFEYyCF/6i+SLBG7RnVh+Fn4/GW6aJtiQ75FlthRbS23Ywp0E5J6HZYgszFAkPBzEYQxllBQ2ZWGGIOS86Uv5PCQBDlglKzy5p699vf3ABvJFzFNFPxBTFgcxmrFh+nxm2PoaYl/dWg81Tt2JpShpichFOKuzGPt9pfJz+4xwCIXIEYQMs0RBhJv8RurOB0tiwafhp5IozsJMTliN4fDvYg4j/s/zStNj9QirSdzIokx8vB4bd+pPrBx3rYTzQh0KTvBhepC68sY2LH6J2EbpHDnq3nLgQxF2smimBn1NdSsNUnxz900JZpnJ4Kl6omJkDLI4w6pYCev6zemNIPVGOyJqI2iQoFKGJVSkxHOfBBxue9uzMGY++PjyGQsOHX4gatFKgNGTNKAgnNbIRSz30BFtHihQ9RXqnhzU2+IW156KaxpxuBztiBCh4LocnJBdVlihjEvs6z0eG1ayF1GBu+xOvF8TWFfu/djn7ixox3N/xlP9hJuca+QkTRAZDvHLdEmVa066+/ZX5RSJPfNLDOB6+K68k9a1eiCbGeBgqjXX2EmcYJfviI/qr9jm9MbXA4NC14E6Tx7kMI6qgrcjvFi8kKxDPZAItE234mOHAiYwAFOPbAyselpGkpCc9jzMJWXuud/91LM5bmqwSTd4qB5wV94hCROEYYi6rfmizTbo+17YukmUSH7DP5APDYPFCRLarnQsdcOeIvNcP+OuvEMREHPqw9DtSCuSD2vv8h3yOKdnO1ng0l3w0DwAlkSYPM7FruTzJPVY83AfUcG+DnxQjmbkqlRzVeq9tst8yQFsmrDNtrLhOXUnsZl4AoZzDgiAF+sXCFSA83CWBP9T88TK8zAW+xFCYOgHPF4feS2qQAJGm3Ij/txNtmFRTkus1ovFC6ptYYzn6hmRjnCT3RCVGUbAwJxBM5Kysm/2gjuzk8Vj/Yib/AaZJjr22B4lWOYxk53p8Fw/46l+gieV+HDjuSetZ1fscJvf4tKxtvo6XIV3fGyPeJG/EMa41poWNEX/9mE6kM8ejdgHLDbzZUqH7sAK7WSJaZpEjQt1yCZh8FntlbrG0u+6ildIcqItneah7tJfRDwJyxDn5izdBZ3pRBTwnnHfAnuT3whz3Ey8z27DW2nfrQd6rJ1yoiyPPf3VsYphFJ+rsWO2KI35rHrXvIMxDGne5rcMyUcKzy23pKHiZirO2Q7oQQJpkMpGJIjYxPxYPeLSXfAO75BECd6d3+HUnaSP4GIvbCx0FtfxKt/HIlnQgzsN4l33pXVaaQkL99Ocvzi3yNNcWif9JmebM2/jn78ODkXC0H3h+A5UTuFqruRHayVYOn9oHgxxcLnO5d35yTc/4bYsiLGMl/j3/vS/h//uv/rv8Bf/8F/8OWeF/6mG7a/79Xh6xL7dI1CB3FutaVEPNRGyc0DWHxjvyju2as/UqK5iAdciJl2pNz2fZ3PZDgBuspXD69Vr/i7HGqY3yJMcOtAIbUi7luW2p0xKNtdaQGnFDFd3EvsqAD4npgmTmngYny02nekkJ+ecw67YSZB7la0wuEEEkkizK+BF+UJaPrXWKAOGI/uBvR7N0CAMQ7yv3sNaK1Sht5e39IpnOaIpkgCkt2Iqp+Q+NJbbLfTAu8s7blHngyZAJKfvCvC2TesIrsijnB0Tznzw32uCHEKEArBwlttlL/5kYYZdwWf5dbiyETi9Qef4XA9UgCRiAVCoQmlnzhN6351z8u7/Ol8/sIG8Mx025QZJngjDdl/txUPuiQYKXKn4D9Dzd30DoF/9+Pr6PMrxUfgR61Hn8KGOtay4ozDCOqadYZoYqiljhqMKU+BmfSMeRTUo8W23psXUTMLXLqOSyJwZ0O9feP6G8qHARUSLxdmcWazgqFg/VA/ib57UhGFkM1QZfbjYkjDBc/uMTGdIdCIp3yIp4MzcfjjWeKqfZCW9ylf40dsfxbW7SkmH0xyCD81BcHqLaPYmDlfs+z3u+ju8LF/Kwz8NUlJpHFWbIOep1lk2/ZUJA5jH9iisZO9VN8ZgCAdZ82ZBBh1wtY0J8v10EwkIfnuxztZSt+vAIWaZLoX6sMkZMvWfsbEc9vKYZBXMzXuLZIFTe8JT84R9u8dtdosyIa9dg5jAOCANJlAMr2mlkUXEl3m1E2DWIZrYWOi9sqMb8aJ4gWXKNlZPrVimVMUu/YUp7nQFAMIm9T71buqQgPgsay3X8HO4swxZ0zzYQYgMi4BopyRi2NUPE7Ago3rkC94HoK39sNXwnOwspgLiV/H9RHTitb8iiRKsclJSPMXHWxeyiIVYj9dHPHdUAw1mhRMThmGQkNihORAJt7hD5Pi7D1RAO8ysakchffPX4SpDki9bOTTECTo4+d59a2Qek5976k/I41yQjM/NM44di3E8ncBaSwauu+Ld6R2qnsHbIi2gQqrEi3TxoWE0TIR2AUWEXj7k2IQbBiwdny8TJlp+5geztRZPzRP5981erBa+tObaX3HqTnhRvMA228o2Jw5ieYAf2oMMhmEcyrDiHA+UNzm9lv5g6G0cm2yDh8sDw3VfsV55YlCkI8Q65kZq7MS/fO2vuPQXPNfPKJPy+5pbh5EHgcRyOB+mQfIH1lm4yZGuFLDNz7OBIxdhBLMbPlgZajaPfmf/HeRRjpfLl4AFYk2f/WB4fXtcqAM3a8t8SU8sWrGz6VCjSAts0g0uHctKvB/Wq+CpStH0jbQUrtO18IEvPVsBV+lKLF/bbIsszPDckgwV6Uiwo9XAzgs4Dgp93HMQnwxGRxtLEAW4y+6Yv9EcfiIVARGvv8/Pn2OZLJFqkmvOw5kqYsh3l+f9d6aTcrs8zoXr//7ynrmEMMahPuA6Xol+MxxiNgkPcr6R2BMjPEPc40XLtJS2Y+ssoDnobRLiOr2NqJs6FLrAfXHP+3ocJI/Tmx5xHAuO7n31HlmYoXYfcknWWSq6rhNr3dVcscioAJ96HpQ+Xn2Mfc269cawFPDX/pu/Fj/8v/ph/P2/8/fxV/4vf+UXbgj5ml+r5Qr90GORLsTG5N+lk50EQuEte3mYQ8XMJfVjj22xlQOJcd9PI1JQfIfOEIo0onWxn3qUUYnLcIG2hBdoRRTuLtvRBjt3McQhLZ5O8TpopxaZzbgF8xvvecO1TJbSUQBARB+Aw6mBQeISPHQPWMUrluelt1J2lOhEQt3+vaM055qm53ZFKZbvJGGC2/z2Q6YlSDE63uMOtDytYmbxrv1VbF3DNMi1790SYvmaB/ph4kbvvrwnEWjqcWgPeKqeMNkJd+UdoiCS4KkbHV4tXiHWMdGm1onIU/c1RRvjsAgXmDBhFa0kJ+BpMPt6jzAKJZyexzmOzVFK077O1w9sIC+iggl6BRzbIwNdhif6aqhwtmfcL+75YBhHwt0nw7V9xAdoZzo46xBGbGBqx5YlGEMjrFBvM+hMBxUqvMpfyQfvSSed4UplsAPen98jiiIZ0vMoF4/opaV/8768h1VWUIxpxNBYqEMJhL6/vKffVjl58Hifr534EqoNKSvWsYVymAYc2yPSOEWuWCRURiWyIBMPpT9tJ1GCTGeCIBrHEat8hSzIYBKSSowzUsUNB+RRjk83n4qq/VA/INEJEkUFdd/yQRkgwCbdYJftWICgFKq+wk1xwwCbHSS9r7VGFmc41Secx7PQZPzWooxLCZ/6E+nFXBC6EO1ET1uk+HkHin9vFmYspHEcnrzP3Td4ARDSg3/4lXGJVbqiqmaoEnc9Fb1Td6JqAEUPcpDQIhHxJO650YHiocOznZUiYeexeeQBZDKIy1h8Y4/1I67dFZfsAtSQynjrrPBWfcHIZCcZJgYzoOorvFy+FHxSP/W4L+5RRiUqU0npiVevbvNbvkxnQk+kI5yGE+6jezJXTY931Ts+vG2PVbzCruChwuM1fQOokCE02fr7ei+Wn5vihv7+mcm/STd4f30vJSdFWshhyoe93l2ZUtdOow1aFEMhYTMNzbDPXMG+yTbcigw1PKdda6IQvc2ln7gahKLi4IOGt+UtAODQHdD0jbQvTnZCmZXYpBsp7jADmzGP+iiKq3UW1lkUCQNCfnDwiopxBl8ev0QEot78EKwVD5N2Ijo0VFQM64GfyV1+J1SkNEplk9ePvVTId4YFRp+sP6Hv0YF8d2ux7/YoU3K/l8FSSEbtyHZf/5IMNAuZ4CAdB1mUkV2e0arih7hu7PDUPME4Q4KMZhnHqT/h2ByJ0Jy7F5bREsop8T2/KF4w+OgsrWgoUETE62FmCy/iBZThIJIFGQ7tQWwTeUD02FP9xPIhBxyag7QGrtM13l9Z8+0H9xQptsUWp+YElfI+PQ9c0ZdxiViT3uSxkb61MFLc1pyaE67jlYVsMZ+d7UT6jFMOiSP5IYxDBOCKPgoirsutFU99NXCrdO2ueLl4iU224XUcMGA5upFZjWRNv/i8Fs9C/h4UFN7X72kPq5+xTJb4ZP2JDAoyDM2HH7/liXUsSumpYT7prrzDtad1qurZ8eDtRt5rnIapIFBrU+Nd9Q67fCclUqt0JQhXpRRV9bn8LI1TtGPLbVVAa1hlKrRDizqoSXBq9kTiJQUWEcO2bnJ4Hp6xTtdYxPw99UMPqy2KoEDguOVI4kSelV7FdMphk28wXAfxYPdTj9XLFX7Vv/mr8Ct+9a/ANEzoqg7/4P/+D/Df/KX/eTHN/9Cf+0NYv5rbNbOFtAgv4gUJJ7M9yc8gSZjI5++LB7Mwk4BmoAIJ6PuN06E9sBxsZl8HOiBS1rCeXgUKVlucx7MgnY/NkejBmQDliUxKEXHs24B9v0CIUDJQ22z7wUY69Wh6OhV2+Q7t1OLd5Z3gqAHIO9KLEP75KMLPXER06S+4DhQlHRxGMzeFD1d878jQaDtwqw4LyVB5i5X3qgeKg3aECL3rBZLhN1ChDuXZ6AWk5/qZ3QGmx2hHfHb8DNt8i02+EfRzEia4KW4wTrTY+Wf+vtnjMlxwW9xiE24+NIYma258VYhuYD/GfXaPdcFCLuecZAq+7tcPzkMeRLAgq/epfmIjlI64grS5KEyR4qBgrOGqMiKvuJs4jHsT/XWYrQ4j/XvKKZyHMwDSESysqJCn9iRKrA89eUXuqX6ip3Iu5PHBmmt3RWMaeo/mZsVlzACDTzZXPX1S3nf3avFKLthxopqtnJLGrl264804UqXKw1x+DlGI4yXyOEczNFI2EyAQFFs91gTltwcyQ9MlooAUEO+b1NDE883EBTMZqbL2yeZ+7HnzJAvc5rcIQlIf8igXJcqvp1fRSjjFntcbBAFSm8IEVJFCFcra0jqLMilxbRmWWEQzgqtuMGkqQ9C0CPmSqCzg6dyH+PzJPrWpsE39qs2jEr0X+Xg6YrQjffM9rQwR+OKe3CSKmFK8mbXVsorziv7kuJL1zX5StjCTHp6bZyKsMOKpegIciKOKaPOxljaM0Y4YukG42MYaWQ8/Xh+xKTY8II5sDsyiDH09/+7mQT6LMkAD+2b/ffjMZmywb/dwituf2/wWDg6baYM4jAWV5/FPAL9H8YnqkMP/V1LhZVSy+KhnbfA4jegsg8dxFCN16YfPzWm4kAz8cRyxK3eYpglvLvTpFnGBLMyEktKPPVSiuBEJEtSG253OUnXBzPrtxu4DOSdhecTkuPI1zqBua1zNFZOZhOBRGdqIyoBFGA/VA679Fet8jVfLV1ilKxxahnk32YYBwPkw50OdeZgjjmOh04yONJS6q6WhcZo4CC9iYkcX8QJFWvC6nG0pcGBoOl3hJrvBJuchxCkqzMM04NAdsM22UhASKRZopBEHLD/0e6XaE3A8rcG3me6yHaqR2RQoHoRjHcMGFo/Vo1h4MAGX7oKn+glaaZxaYlDLhJ+ds46/H6UQp7R8PNaPsm72n9XomMdpJw4Q7dBiu94iizNEYQRjDCpT4Xq9ivd0tCOezk+4L++hwSDjR+uPcBnYfTBZVpFbSx96oAMOzXMmwR9o2qEVPrfSCtpq+bz8NnCXsahrAnMNI0ZuT1VDPBucbBony3/Gh5o708GzwYMgwIv0BZuJ2yMP2ZpNstppLDIOYEnINkKfHXqunsX2WEQFFimbRoOQz8dqrKAmXiMBAnKtdUiAwNy6vB/ZED1aZkzui3tpDPacfr/lGQwtbcf+yK3VfJBXULgOV1ENJzdJdiGPc7HiODjSfmL66b+4fEF7RTILSLMdSStWrFuw3GxwA1V1V0hTJRQkR3TqTlhEDA7GYYz78l4sWz4AeekvIkRpaKziFYIfCnBf3CNSEX7Vv/ar8Ot/26/H3/3rfxef/dRnqOoKeZHjb/+3f/sXZEb5//z6jb/7N+KjX/YRDu0Bt8WtEHAWyeL7Qprt0AoC1zmG9v32ap2tRYhohkY2zeNE4WydruXA6y0u/h2nFK0o+3ZP77MLYDWH6gABnttnlh26iM3OcyFXWNIq5ckiPkzt1XgfyO9HZrG2iy0xs2OLXbbDOlrjqXvCtb7iFHDe8mKMD8MP04Db8lYKvqKAosY0TZLtOnUnPNaPsgHtOtrfypglittsixeLF/JuurT04H+0+oiHjWSBbPpwMMhj2ng9FtTnOOqxRt3XuIwXJFECbbWQ6uIgxk1+g0kzI7KIFvhFN78ID5cHnMYTSx3jUuxWxhoceuYwrt2VAdkwQjVWWKdr5AnRz5EiNc4ERhCjX+frBzaQA8Bz84zH6pFrYQDQwLE7YpxGrJO1nCjvcvJYAxUIJqypG1RDJeQGWIYfoyBCHHEtKB7m2dTf2Q59S8tJ1VXiIfcYwtSl8svY13vkCdP01+GKYRqwTuj79DdaFmf0N89FH73ppX7dM2Q95WWZLTG1Ey4tVdJtsZX08zbbSrAjaiOce/qci6CAgZHkcBHSE9kY8p69DSdJElRgK2A4huKl8qU+PnhmJoMiKqTm2/PfHRwqVWEaWDvtmbijGVGEBYkF7RFfXr6UOu1zf8bb81sqcOmKRTsK2JU7nNsz6oEr7ZvlDdqJHvr75T200zgPDCElUUI+csghyFmHRjWiqESIvo/r6rFG9VDjuX1GgAAtWvQjPXRWcZBsR1J57oo7rLM19s2e6lxaEnc3NZg6YuW8ClCPVIT8w8Njq/w6LdQhjv2RKumssvpgYDvxe1daSXhNK4139Tse9OYBwzqLfuyxjJe4W9zJZuTb22/j3PEzO45H3gqam5RNzoH9qXrCZeDqHaClaZNvUEQFnptn9EOPl6uXLIZS9NxfuovUq7emhVO8Zic3oe5q6FiLx7/ua2ktg4PwzYdxQBmWwkw/92cWuoQlJs0ynWW8xNvrW0FrRYgkWJZGKdscq2cop3C/vEc/9FTqrcIqXeHUnnDqSC8BeMiMg1iCu54W4+uOR0uKx8meZEvla9KTMJFyJx8EX6ZLBEGATzafoOoqQVY+188SzPFseWf5fQcqwKE9kPCkE+yKHZ6rZyIFLYsguqnjYXlssIyWSCKSk5IwkcN5EARy/Xh7zDRNiFXM6wZO1J3rcMUA+jXLqAQcw+PWsW57lawYsJvxjHEQ4255h6AJuA63PQIE6MJOPJ/LdCmc5DIpBUO4b/Y4dkeuzyNu2SY3kZQye75jFWO1ZIDVK3ibZIMspgBw7a6woG0nCRMqn9OA99V7bNINPdwTC32em2c0I3MKWZzhLr+jWBFQLe5NjyiKxO/tw1aLZCHWpaanIFImpYgNo+Vz1ymKNat0hdGMOHQHDj4zTlMPLEDKQg6el45ECd9ZkIQJ7TgTi0uCKZAt2S7fUb2OaAsyxqCzHSZMYpuLQ7LOT/2Jdo2BYo8xBh24pTPWkKgCrtq9wr0ttlCOB0Wvgl7HK/IhR6SJGTWO3uxze8aX3Zd4Wb5EN3aS1Xm9eI3b4hZhwF4IHTPfMIwc2FfJigemkQF7Lyj4LYXv/2jHFotogWN7RG963BQ3QvLym0ozGbZTzkVuy2SJMAzxWD2yPXYWaYw1LG6KS2yzrZCaojDCq+UrbAaiJp9q2r68TU86CEbg29/+Nn7k9/4IPl4SC1nGJf7xT/9j/N3/19/F7/9dv/8XdF75tT/2a6EsGzLX2ZrFSTqSErWn6gnPzTOLambLrIPDdbxi3+3ZNDtNeHt5S/RswsIsP2inEXNgflNYYN40jsxDFBE3ez/z9DOo2xplVkJBUdwrd9JZ8d3Td/n+1JHkcyZDapyvmT/3Z+yynfRxKChc7VXoJR4SMNkJeZbznW0u6CdukdIoRa4ZeD6aowAXfN2975MokkLayeueG+1VukIRF3iqn1AEBXnfeoYGXB9RprToac1yq8EMyBP+XaPjhqeICr4zAs5/aZiisczVNEODKOS2V3oOxg6X4SLdFP496vG2y2xJggoctNNS4DdhErKe1rSWRWMknTTn7ix20SQg+Wma/gXEHhprUPUVDs2BtpCA38q1v4oVwYceIh2Jb9Srrr6Y5bF+ZPX07F1shxZd2CGJEhk4H+oHnLszVskKN8UNnHPYT1zFaWgJ7AGQF141VPg4/BhJmODYHUXJ8eGzKIjQDq00PhpnUKQFT/rJSoKNXk2rhoqUBEXVIZgBunmSY6EX0vyZhAniiepmGZd4vD6yzARXDG6Q8hKllfDDq7H6PtuL97kXSQE10m5iHQcIByesUOBD2RIcxBsfaL4AYx2jMoTo93YuTAoT2QL4ZHUcxLiMFyk+iIMYU8SX+2W4YJ2tpQSliAvcjDfEmpmRBTfGyOEljmLxCm/T7fd58ic3STFMgEBsSVd7lTpw75H3N0capVhlK7brzQGywQzYlgzxPdaPHLwGliulAQNaZ8MVtrcojNOIm4SB4EN/wDRNsn5eh2uoQAnRxqfI8yCXQd/XlEdBhCAIpArerzi9BQojpEHy1eKVXD9fnL4QP7bPKuyyHQcWHeDt5S2W0VL8xz4c6W1Czz1XzDfLG9oZNJPgnrlsDJUFj5u79gyKrTLaoDxdJg5iHLsjAkfaDTQwjiOWKdn094t7NqcOPOR4fv9gB4xmxOPlkZaSyaCearl3Ds2BqNMwE29gGnGl7kM3l+6Cp+oJr5avmIKH/ZDpiDnAXrqL0AN22Q4vFy/FrrPO1linaxzqgxQN+XVnGZUSMHXKYZ2tkcUZjjUb3M7tGa1tMQ0MST3UD+TQZqyOvuCCwnEj4GkdURBJjiAOY8Elyn0cMBjtQIxkO7SoXCVV1045fH76HMqRV+63I1XPCntf3uFxn56tv1ALcvEzVn3XQ/0h2JVQVc2jXALDm3wDlVAZPjQHLLDA6+VrXp92QDvyd+kPK54Q8q3tt0QZbE0rlq9NvkERFmJTsrBCQ2iGhp7WiHSFZbyESRlw9C9749jAG+pQLCqRjvBiSS++J5BopXHpL3h7fotpmpAFGRVkUFnuhg7GGUG3vrm8YRsyHG7drbSe+o1rM7IYZcIk1q6vssn7iVQolSjxpXemEwqJL3SyoNXHTAZNzNKVLMykufFl+ZJkiCCULIjTbFQ9NSfsu70QdZx1OPQHdEOHu+IOAOlM1+6Ky3jBsT3io+VH2KZbuQeNNWy6DlJordH0zYf73PFZm4c5aluzInwORp+6E/qBTZ1QkI1PZxlcvA7cWLcT7QJBEAjCziOG31/fSxW6tJ5ObEf0mZ3eENO7y3diSzv1JwxmkE6AwQ5CbvKDvTMsPfr0W58ivU/xp/7an8J3v/NdPD8+46f+Hz+Fv/c3/97/JLPKv/X7/y384l/zi7F7vcNoR9xn98ijnBu1kANf27dihWgN36/9SKqIctzm+KI1fxBMApYcDpbDnDMOK9B65jcaX2WHN2OD9xWtXipVzCJpkrHSIEWe5Ehierc1NG4XhCR0U4fn/hlxEItb4NydSeUJPtBa/Nb72B4lY9GaFs816SqRjhAlkfjCjTPQTmNXctNvHVuqMbfQ9oYZosEM2I978cVHATdNcRDDRhbWUOSCA84DQQaLdCE9J41pUKbM1l26i9yLk51gFMlVHov77voOi5i2HQ9F6Kee/3foYcCG9DIpRVy5dlfJEnZTh7ent6inGh+tPkKCBPf5PZIowSJacEtlHSpT4bF9xMZtsE54OOunHsfmKHCGr/P1AxvI0zDFpCYZuA7tAW3fwsDgtryFtVYuzPfVe9yWt9DQ4o2a3MRV0LzmC1SAbuiAiAzdF9ELueD9ad0Pn61pySN3/PN9QjqPcyLPuitUoPDUMhBwW9ySV149Ud2auaFJQIwiFH+eRUJmtfdLV0MFWOJ/vG1FFUQp5mnOF1wYoYyo0osalqyxSlfobS+Ae4//KsKCNcxKIdOZtG1mQYZTf5LK7CIucFfcUdkJcyyTJfbtXsKkeZRL7a+1DPv4YWuVrbCKqHp3I1dvdrL4dPsp1gmDl14V97XtURBJVXwW8cUYa7aMrbM1XMpwGBTRQADw1Dzhu8fv8sEdQVjjSikJdPmvYaLlwymScMZppLo7f97H5sgtx1yKoxSVg852UE7J6jgLMwzBIF6vp+uTPEB9LXvZ82aNAhJoXq9fY5xG7Cuqij5YcmpPuC1mDB404jjGYAacu7Nwpd9f3xMDGFF9XSZUUquBK6/esqnv4+XH9ILO2YLRsLAgUFwlev9uGIZSigBHJusyXuIpeIIK1YdQ1/wy9APxJt0Iq95XsV97ess3+YYv7bk6+NpfMdoRd8Wd2F4srBQejW7El9cvqVzOvOIsypBEbFtdZ2seGtu5uWwayX4HiRPXjk2Zd8UdLh0ro9MopeoS51jrNRbpgr8PkE7kLJsXPSlHcHYJST1xQI8xAEHv9ZaeXK01QoSyNfNECB8sSmPi47TS2GZb2oAsy5OWmyXJHSqW5t4iLtD0LE4yii10EuQcryiiQkqPzGQkMDVZHijfV+9xm9+KZ7vqK3QjWyhXyYokBtPh/fU9FBSKtJAXkVZk/a4zZmV8D8JNTiXTk1/O3Vnq07XSggZNg5Qh5IjPq8kSERkHDM1/vPkYZVpSWEhXqHsWAa3TNQkOMyZTO+I8y6gUv3Q/9Xy265SH7Xn7Fgcxfc8AJj0hRIhjfSTfPIxhjcVNfsNKa1S4TW9l7TtZ2id8F4V/ZvWGL9lYx8KOH+wgDOxTd4JTTjIMxjBT8On6U7EinvoT8ignux8MxSnwYH1qTqhDUns8ks2HgK2zwisPdIBTxb/Lq2atbUk9iRjKPnZHIAUu4wUfLz9GEASiuCUBG36zKMNj9chCHh3i6cpuDt9g+Dw+ozt2KJJCWqYdnLRterBAHMVshVUUsdbpWsqL3lZvAQDLZIlv7b6Ffb3ngTgyGGtuFdqxxTJdMrcUBfLcunQXVF0Fpdlv4ZQTO5MKlFS/a2jx5gMg7m7sOQxl5MT7e61IiMSbMEkJklN8/nm7kx/yIkValbckaK3xoz/8o1i/ppL7r/+Wfx1ffO8LBEOA5tzgfDkjiRIcH4/40//nP/0/alb5Ff/ar8Duox2H0ohM+2NDHOAKvF+vPYuhbsobsRV5a0oapzi7MyKQ8rZIFsyMzIdV/7sLdUjSyIz489a9OGQ4exonlFGJMSSRZxtsZVgvogITGEou0oJBYcvh8dpfxfpW9bQoLuMlG5vHHkh5n117FoRd+gveX9/zsKV5yM5izjQamqKZcWhsgyzIhH4SBZEgQ/Mo50F+LhI7N2fkMXG6znE2mNSEaIrwNDxhtKOU0YUqxLJbYgTLeIL4A53u2l/ZbeH4/t2mW1JZHHBqT3hzfoOXi5ckLU0dupFM8M50sMqibmuck7PYhFShJOdVxNxIFGmByESo2kos0lprXM0VIThD2tEiRCjc9WEaAEfhxbPUv87XD7Sp08UONwWpJtYS37SMWdOcRilxe8mG679K425xh8AFeN+8x6VngOimuBF1tRoq9H2PXbATNebcnYkYmxXoznSwlqE7BYXOdFglK7RTKy+nKIoYgpyDpB4mX6Qcjq21cIET0oN/6YsiOQ9ESZCgA1FZOmKwI4gCZIreSL/G8yerZmyEle3LW1bJCm/Ob/hLnwsBoiBCFlAl144v6JeLl6KOAzwgeGTiXXmHV8tXeKzo3xrGAbuMWLlDd4BWGnfFHZ7qJxz7Iz31Hl2olDwUYh0DCpLY957/qqeK7tGCgQqQpvw51umap2RHesDkJvHLHZoDtOOw0JpWKDhZlKFMSpx6MqrDIIQG10WxiqVW+NSdpJ2zmzpcmgtel68xTROuHTctyimEYYhc5VL4EYcxjs2RYcT+SKzaHH7qpx7v6/fCdrfaYhfvcOpPWKdrot8Ghry05XZllaywKlZIdCIqs0dXxgE59R7/VyYMr1Y9Fd8JkwwZl+7C4c0BBmQaxxEDeo/1I7Iow010g0W6kBDiqT0B4MFkmiaxU/mAjveepnEqJR+hCsWWdO2v4kc21uBiWAsNS6W+GirBFl67q6jR/dBj0hOKsJCQtGfQe+uWV3of2gc5tOVBjjpgy6S/HqeJLPxLf6HVqLwTNKmxBqf6hGNLvu80sWDJD+BmMiyKmrhx80UZNWpYQ672NE2Sxq+HWgb4LMrIbp9LHbyis8t3UgzkrRfDNMgmre7JDy4Gbjk602GZLrGKVxjsgG7oaGcLGFyeJt677USv5S4jVuvUnWAnK5sYH3ALVCAtt4t0gWW8ZLYmZqtoGpGjbQIjeYjG8HvzWYp6qMW2tC229AXDIUsyxD2tD5uMlifvV/aMdW/X8mSZXbZDpLj+9s+59/V7OSQopZAlGUxHMsEwDWR4zwUogxvEQ3sdrrjLSDy4dldeW0EmOaE0SL8vQPZVDJw/XMZhTKykGajSxks8R88YhkFCsM5RADh2tIB9a/0tfHP7TT5fVSjhOs9nL2N+f0mU0MKoQhybIx6rR6RRivviXgKe/nDjrW1VT/ujr85OXCKFcJIlmUb53VQ9g5M+qKuVRju0uAwXAJCq72t/xTZlOVse5XisHmEcOwd8cYoFcy/t2OLQMEeUBAnbqAOu/W+KG/kdH7ujhOhDzXDaaTjBONakf7L6RHoVBjNgGAZ0tkPd1WimBotgAR0yxFebGu+u79APPR6qB9QTN2JFUKAueZgZ7SgZmGqokIYpbpY3crAJdUjutatQZBysNiltesaZD/QiN2IaJ1zHq3z2SZmIOOKcw7d/6Nt4Ub4gtcjxvf0P//E//L654yf/4k8iX+ZYLpeABf76f/XX8Z//if9c/vvf9Qd+Fz765kfomx5QwI/+4h/Fj/7Ij+LY8DqaponD32xBeg6feeCbhagsyLh9MoN0WozTiBIMM/teEgWFUIWoB8IHAhXwmTBvhj2drRoqaMfn6Dpe4y6/Qz3W7JMICirwULKRbYJGNuD7Zi/PrFiT7NTbHlHAxl2nnPxZox15qDKDlAcO04C2bYXG5Df4URBB5yz5sWAnTDMy/2WUQTu1QMcG3DiIsUk30FpjES2k0dK3NfeW80o/9khTbkSNYl+BB1MozV4Pn53JMt7XccC6+i+OX7DTwXLuOrQHyTp4+k0SEFxRpAWsshJyPbQHbpJmZHEz0tfvIoeH6wPpRxHLJwtN8QcKuFtQ7KzHms/toZefZZ2vv/Zc/AMbyPupR6KYwj6ObNbbZTsSUToGePzgsUt3fNGNHcIwFBXE19pnAU9vcRSj7Vsc6gPxdREfTkn0lQEyzDisjw32zV4CBaMdkSLFi+ULPNYMQ90Wt2hMIyi5PMylFEEazNxEUsn8d8Sa35PCB5h8kAZS+uFVgGNz5Et0TtenUYptvpVSFuusqIC3xa3gzqqhwlP1hMENyHT2gck9r8b3zR6Xnn5xpZQoOZOlsl9GJWpXozY1OsuVVxTQ6+trezWosnUjyRCBCnC3INv70l0+2EgUg4Le62+tRYQIZcb1f6hDwTaZ0eDUUZHqp55oy/6MbbblBeGAZmp4Q8QlAlBFOvUn+XwHM3wfOtAXWSjHk3s7tPjp/U+jGRp6/mcfnDbcTviXdxEXOA0nhqMUPYAWvD4WAcN6x/aIaqgE9aigWLoScIg9D8RyGmuEMz46nvLLsEQzNbh0FzlwLZIFlY6vFJqc+7Osob31YpNuAHAj4IeJu+UdvtF/A0YZoRV4zrD3li/jJfIux77ZC9IwDEJi1/KNkHE26UZwop6lLqn1MMZtQZJJM9KvawxfbK8Wr+SfS4IEH68/JlI00HhZvmQYrdnLgfaheqCnsWloU5gP3U3YiGLZTz3giBkMdYib7AbN0PAhOZccHXui3XyOYlQjzsMZ76v32NmdBDLDIMRkJvqEY1KJluESl+4i24R6qPH++l5CQ846sST49jdjmbMowxLn/owqrORwWyal2A4mTOJxjPRsX7MME1Z9hV2+w8fbj1H1Fb5z+Q5bICMWIm2zrSjoPs+xSlZyX136C33p6ZLEoNlDnCdswb0OVykaUloxszHVWCdraTdVpULd1di3ezR9Q36x0rADrVFJwGevUxQWoiAS5Gqe5FipFU79Cbtk94EhP5fgXIYLLTEzxSqL6cMPAx7cDh1DUO3YYlcwMD9MtL4UYcEtnuNLtxkaqFhh7Hi9JkEiAxbA4bQ1rZB2fDDXHxqcJU8/CGipmCbaCr2PeZombLINfmj7Q1jlK2F+T3biFqY/S4i2R49je5QDRhDwms5DDocP9QPGiZaubqKQU8YlNsVGytbiOOZn6uhTN5YWGG2YCTk2R0wgU76IeNCzzuI8nFGNFZbREmVUcq0eclMB8MB9m91CaYUXC7Yd+0PPNE04tkdSbsCG2EAF6MYON9mNbAujIMJtfsuDrZ2kzTHWMV4sX8g1eOkv+OL0BUWT6YCz4eZwGbPV1r+XrbL43vl76HoO9XBsWBwcNzShDnFX3PGZptiK7cUHL5iFQYib8gZQtKu+Xr6m1dQaGYL9szzSESpTiU0oVCG2+RZNz3d0Huc8XM22y37q8UPf+iH8+b/x53G9XrFdbfHtH/42m2FjDoe/4/f+DnzzX/om+nOP7e0W//K/+i8Lj70xDW6KG1yaCy7DRSg5j/Uj0iDFOZy3UOD1kugELxYvmIGKc8SWG7hje6QqnpQSCj+1J3l/jY4bRC9oeNEtUIEcmBUU8iQXQsu5PXNrOkGGy+tw5RY2Wsq2KAyJXfSlgj7z5rczHvcpws5scSpihnPbqUVbtVhlK/ld5BHxnJ7mNFha36xjo3SuaYfrJmayNvkGeUJ7T9M3bGE2o5CifMDUq9STnbDN2art23eto5UwiRNpa89jdkac2hPD42aUoOqxPeLV8hUAyM84OjYLr2OGMa2zqMaKsxkUt4paI5gCqvdBJKLNMl7CKgoS7dAicIEEb32WpR5q3Ga3CNOvP1b/wAZyN1Eh8xW/z80zJjBB34y0aKQRh0lfXV0mpdg7lFbSuliPbI1cxR8qnpupwX16jyiOpKHw0l9Yp+7ICO+GDufhjGVA/OIqXaEaKkGirdM1kimRtcdoR+K3ZnD9ZKm8OcUktXFGQl5mMsK7DlTAKmrLl8MqWWER0zLx9voW/cSBfBEvAA0hSjxUDx8UqJmRvUpXMMbAwAiVwytHnsltncUiXUjgwXvy8zjHTXHDVsr5AOGH9XEaie6KiFDzXvllspQL89qz+W8Rst68UAWu3VVWx54YgRnDmYYpQ46zF8zTUrqxw7k5S4o5jRgqWYZLvkTdJB7iUIUShPJB1mNL20gekUrTGg6Ti2SBhysHwVfFK/HG7es9AsNh198sTc8X+ujI2s1chutwZTnJrFbUPcOFAwbEEVWGIRoQmhDLeMmVl+bB66F6oPqZ73C3uONgPIe2BjsAgKjIgxnEnlLGpQRB/SZmsuRSK6fk9/N68xrvr++ZJu87Xr+mk0rgl+VLegyv75GGKT5affR96EXrqMQaZ5BoqsW+CCsAP1ePqPQYyG7sYAMroZ80+KCyFwnZq6NlOckiWgDZh0KSAGx/lKKKOfR7GS7YpTtuDIJQDppZlIlvuuornNsz8iSn1WVG8vUDvaghQtalzzjHbb7FaEes4g/ZDf/i2mZbcuGHCuNE7NZtcSurWb9R8j+HmYyUP+Q2Rz/yoHRu55IUFQqxybfGZREbU622gIFkAq4dqUKbdAOnHcqwlGfF2JFnrbVG1VWCTA1UgFN7YoYjYLGSJ+Xsm700e3qufhqmDPWOREXmOpeX7RiN2OkdTu1JrCONaXBqTjyoI5AAaxiQ9DFNE5bpkk2TMB8OdrOK1Iwf8K5PzRPOw5nPYkUuslcvNzlJNmmQQmlF8SGI6f+P2Mi5SldYxhwevIfcOSfhbf+sCHUohTfVUOHt+a3YaIq4EMpFPZDa473It/kt6TZwzHVYiyAKZOAfzMAAl9KClvPqZTM00Erj5fKlNALDAct0iRbMDj1UD5gKHgIX6QLP9TO+V39PRJxABVCOA4LSxFhaWHyy/QRZQGTtOLEUz0wGQz+gD0h78Wz8OIwlU9G5Drc57ZNFyvtvchNaS7V9k2ywiBcIwxAP1QPRlqbm1s6NYscxju8LHxLOogyp4/XQmlYO41C0nBjDZ1E1VLjJblg0VN7guX5GohOi50LmGUIdIgoj6RG5zW9Jt5o9/0VcoBoq7Nu9hFsRUFX03nu/zXaWL5JVtpKtSREVcCG34SNGOXwvYgoeo6Gd04tEgQ7ww7/oh3HqTkijVJ6PSikJtP6m3/CbWOA3tPTOz0JLX/f47uG7OHQHVF3F0iTFTpPa1JjGicKfZkOsCxz27Z5iWpTI+83/TM4yuNhNHaZpQpmyHfqMM5/tzhDvN6NWT/2JmSitMAx8x7qM93Ee5/js9BmDnukGsMziWGWRJzluo1vcTMwLefZ9ETF3M5oRF3Phe3ruMfDXm/c/e5qR7zLw73OfRwt1iNNwEv5+HnMzpazCSZ2QhRm3i0lBXKilN33CJMAAT1K5jiR6WXBuuS1uEUexiKlZkOGhfkAapCw4dDx8P1aPtOlGC9p2QxJ9xoFEuzfnN1BQ+Hj1MaIgojUyJPv8uaLVdrQjlvGSdLbmKAS9r1LGmqlBqUo55APAdbwituwy8aKugkIYhWjq5mvPxT+wgbyM+bA4tSfhYUZBBBOYDxXPQSpsT19S4+ugE5WwFty0/EXMaKDRjiiSQrx/AORF6kNMfjCysLCjxdGw4j5rWB5RJiVXHFojAUMSp+5EusN8A3rofhqmYk2AZaWxsQxaCStTcZhpXSs3m1X2Q7sUSN+oVS1rntGOaEf6HJMgge403ILKy4hRMIyw5IuvshUH55AUBf8w8sN4GqYcBGERhbSW9EMPYwxZ6bPKkMRk+26XpMAUcSHKom/98n58v9oMEUrNbaw/pJ7ziEgxpRRylXNw6Srsmz2CgN7oi72IxzWNqPZ7i8Ym3SCIA+QRw5HDyIZR44ysr5KQlbf+OigTrvSTIJHhaUz5eXmkX2c6WqbgZGCVMLGjQtqNHcaIq0YfhFIBf49d0AkGTjuNp/pJ2j8BqstZlAmlBwoSOoGDFCGFIT3vPgjr6+U70+HcnfngG3nd3ua3uFvc4dye8XR+wrvLOxRJIU2crWn5oFeTWEW8R7ceajQtsW9VX/Ehq8MPIdyZVOSLmnxGY3T83CIdoeoqnDriQmPN4GgSJsg1A0q+WCm0VJ49o/ncnqEtg8hJlODd9R0OPdWgKKA1bAItHV3YicXn7fUtfnb/s8RwZVv0HTnr/rCnA01iUhCgHmts0g1uF7cc9gyb2cq4RDM2Qi4IVEC2e5RzKGj2eKqePqz3Z9/lQ/XAn3P2Prc1vZBZTKXY//kOjgU7cclgtAWyhFayTbLBvt0DABYZcx3NSC7upWeAMw5jhAhxnTiMPjfP6Eb6x7XS8r+tYU36YAYM04CXi5dymPYs8slOaAeydH0RU6ADrlmHCt3QQSUKdrL8XEyDh/oBxVjgtrwleaE9Y52txRP51eHn3JzlsPyifCEDVjsSj6aVlsK1u+IOwzhg3+65uQzYcAsNeamVcSkHDussNtkGz/Uzi6rCRPjc/hr93ul7zJgEETcL04Avr18Sp6cUtvkWVV9BObarZgFpXKtshcY00rTsHDn+zpGKNDoyiP2zcREvBDHnt6p+CCliUjF8aO2muGF4uacgtCtpdQJo6+snKpHrZI3e9LzutYM68f+3jEiGMuNMcACRobf5Ldn2tkc1MuTrbU1FUkgpzN3yDnVPa9J9eU910zYYavYIRIbfex6xhOq5eZauBDdR0FCghaBztE2Mlp0fyTJB0zX07s/ldXmQY5WvsMyW8l4eLD+3LMjwPD4jjvlsWWdrXIcrPj9+TlZ/cSdN1aEO5QDncwfLeImb/EY2WpGKoAKFMqDFb7IceKIgklnhOlx56J+bSc3E8GfXsf0yCYhXrYYK1cjiQN+iDUUFvExKvF68Rhqm2Dd7Wl0CiijfPXyXzzwzIA9yHn6mVnCRacBSM48kjkJ2ozxUD3i5fMmN/dTKpvnYEcdb9xQXz81ZDu5+K970DdV7x89gDDi79I4B0XZs5Vm2SZldufRU8NfJGoEOMLpRtt5KK2lsdorvuyzJYJSRAHCoiXM1lsjS2/xWqG9xGAuW2W93x2nEqT1hX+8lgJ2ECW7yG0HmJgHLAxfJgv5qzAed0fDnGFqc+zNGQ4zqYAdcuguymGHmdbCWz8Q3X/a2Z2A+SuSejnUs4ARfjmScQTZk7OroT7i0FwpIQYxFxhK01rZoTIPH5hGbbIOX5Uustwz8f3El+lMpinOYgM+Pn6MZSYDLwgzn7oyXi5eyNfWkrsEMcoD5Ol8/sIHcv/AA4NyeJVEfBWyjW+drjCNPVZ3tUIT0iwKQ1L9P9WtoKfdox1ZUGt9E5l8Yr1avhMPsVfVlskQRFogirjW8BWSYBiagp0EUhdGMOFpWUSdBgmW25MpsJIIxj3KGXmZf2zpd018OjRq1/LmhCSW4FQcxiqjAQ/WAQ3tgW+XMyPXeRr9O8laDuq9RDRUe9g8IwxCLdIFVu8LL5UtRzfzqph5Jsji3Z/HJX8crtNVSGhTqUHzhgx1k8BotGb71UOOL6xeCEPKHBa/uZHGGqq4AAGXBIqM8Jp+zm9jKN6hBePGn7iShXa3pffaq1DBy3bnKVuhsh4VZyEt5kTDlfG7PEiB5vXoNgCvdIOAQ6rcKnqKxSlZyE137KzGAU4t9veeBSjk0mn+3VlxBamiUUYldvsNzzTbIbuqwiBfCg1+n/F29Ob2RldtT/YRmbLDLd2L/8Q89v3XwVppQh99XftMaHuYcqKTEQSwKQhZlWMZLaKfx5vQGZVLirrhDHvOav/QXOOVQRkRhXXpiJQNNu5SnRnj/ns8HlHEpJTC+Vtmry56S45WaNEgR6QjrfC2FC2VCJdIzdL0V5tSdcKgPVNPTAl3TiZfv2l2lcKuZGlRdBWt5QL0r75BFDO2OZoRVFm/GN1BOiaWtGRuuVZMCzdhQtUuXwn/2oT2/Nbpf3CNQgRxQ/f2bRRneXt/yWtUhLs2Fiu/8M6RZinW+xneP34UxHJoWCdUe/+ANdYi6r2lZCkacKz7Lsp7+ZB/O8u1z5+HMYJWdMLQDcZIzSSEKI+zPe/ndhCGV6V26Y2FIfRDf6evFa3n5+Wvp3J9R9zXyJMepPVGEcIPg8UxHBW2drrFyqw+Bq9leoDWfCc3QiDXvOtDn3WDOt1h6q7uJa+ZdvsOpOckm0Fjy8G3MF2kzNKiHWu6bc3tGkTAk1Yz0t5YR+dm+PTALuY3rTMcK9/YsmQvv/zQT6SmP10euimd86irlAB7pSDzfrWmhnZam3SIusE25VQkDoviqccbGKtoZRzPiMlz4DJvfP972BwVAQfjL1VhxEzGXE90UN1CO96AOGBTWg0Y6pWiHFteA93MZlaw+Nz23A6AP9qF6wLe238Iq5kHx2BxxU9xQRHAOzdDIZgug5csXzt3mtxjMgONwhIbGuTtT2ZypL9BsYAxCdjkEAbcjC7fAEAxiodGOz8HNuMEwMnS9yTZsbZ0sRjVKkVKAAIPiO6vrOgQpQ9h1SyHnoXrAj9z/iKjxWvE+6sYOBnyn+4xUmbCCPY1S7Ns9jv0RqlcfCFXgOyNQgTCv19EazcgDpr//fevwsWHh4C7fEdWKSYKKRViIPeZ99V5yN4uIVibnHF6Vr7gVCkK8O7Mg59yfMU4jtslWtlHWWXRDh02xgYLCtbsKueyuuMN5OIvin4R8Bp6HM47NEUVc4L68F2INwG2qDrkJa8YPFthJsR3ZOTZNdmOHfbcnXzu7wabYoB5qyT5oaIqfYy3XTBpTBFrlK4om/VnY8B5O4Z8H/lns1WWfN/OzTqxilClxqnlEEl4YhFJq5EEN5/4scIDB8HpqLWlLi2SBdqSgpKFlC9GYBt3QSddA0zfog15cFH5TOblJch83K1q0/LxWRAUu4wVxFGOZ03L1VD8hD3Osc4oPPrC91EsBKSzTJeCA0fDZ0JgGwzAgdCGKBXGfExjSD1SAS3dBERVsog71156Lf2ADeTVUyMoM62yNPMpx7I649lcc2yNeli+xiBdo0OC5fRb81mhHEgXKG7w5vxHsmE+6es6vpweYyQAhZK3dDA0uIG/XK4vrbC2nIessjv0RxhrcFDd84IxEriVBwkFkZLr/1J1op0lY4VpEBdeSfSs84yScfZpwQkiY3CQA+yzMxEemtcYyWsq6epEsOAzVJwAM2H15/pK+Xafx2DxisAO+sfwGXy6OaxqtNKJ8VsANvdrGfHgRR0GEqadFRUPL+tlj7UITwsbEAXofcBzFWCdrubGfKjYA7nI2QfoXm5QgzXW4p4mnaF8B7HGF9VijGzosUvq1NbQEEC/dBUEwl+SEDIweugMDvPmN2CaqseK6ql/gxeIFP9/+w8ZBObaZbfKNhK9+5vlnUJsa98U9K41n9FscxHCTYxOrsni9eo1NStvSrthhES/wUD9IjbRSVLgiTYbuOuOAvUyXSMMUp44/967cYRHwYbPNtwgQoLe9kDrSMOU1Zudilnk96YtI8pgs2WZs8FQ9IVhQEU1jBt92+U7KO/I4l4AmNCRo5NXcWMUYHfn+HsvpObnfPX5XVJBm4DbIDx+RinDpL3ixeoHJsEX30BywSlc4NqysH7NR8g7+Z/IV0p7o0kT0Dl6GC0YzrwGjUg7DUPQLD9OA5+ZZQrX7Zo9+IImmmRqEE6/XPM6JHotyRCHtHZ3p+NJRAe1FcyeAb90F+IIczCD2pCIscOgOMLWhNzEgTjKJuMHwTP1AB8K89urcQlNNvQ5XFCn9wIMZMAUT3lXvEKgAZVqiHYhY1NBQjrXuh+Yg99w23WKz2LBxNCnZnBpEfEnqmFjCOazkedhBEKDtWZTjW/pCRYTjsT2y0W9eOW/zLWu3+4sgwq7mKlaNy3DBbUZVbHIT76+hwn15TwuSqZGH/KwP7QHvrmyETaOUjXvzwerS0RpkJ5IKsjCDgpIqa0/U2OU7Cg39CXqiWNGNnaA2fQOqBHq7o1SUj2bEdeKwUyYlVtkKvemFUOW3q77Qa7ITxpHCQtVXWGUr7LIdRjcK5UZD4+HywOKmOZDXmIY+6yAQ2pdX73VAEUEGLE173aS4WTg0zDBtsg1DcoAE6yIV4YfWPwSleT16tdYpRy9rrDCM3AjcLe4Q61gsVkXMUJlHWfqGQd/WuV1wq3mwB8ACzx1Lih6uD3zuzP9zcRwegoBe6cEMgs5zLUPWoyMlpAwYcPPY1m7shE9djzWMYQ+GgqJlNIpR9RX23R7t0OImv8Eu32EVs2/gs+NnfCZrImv95tYftEM9W596BpW9oh+oAJ39sJn0dlZ/n2utUYQFoLh9t5HFl+cv8dQ8kXsdFVhmS5Klolx+J8YSuakULR2R5rPo1J1olQkzTPVEa+TEsOQ0TdLEGY/sC0nDFA/1A+7LeyL1Qlpb0yDFZbgQi2snCZr78P8yJao21qRzlOmHoqBlupRr5La8xWQnGZ5PA3n3cRRjh52If74npO5qCdIDBFQUSYHGEHThlWbnqPT70qkA7GgBIB0gPs9z6fj8WGf8u4qhQBrNIey5u2KZLoERshE8tkcY9wGraa3FTXaDMiwZfJ8D1mnAz89MtPgc6yPeKApPfiPTTz0WeoHRzMVY4QLX8cp3owoQhiHLsFSAm/IG3dCh6iocez4/QoSSL/PbyY83Hwssw1or5YhwLEFbpDw4brDB2/NbXMcrbMWm27qr8fnwuQg1cRzjRfECgxq+9lz8AxvIF+lCBrdVyvKJwQyIEjaQ1WNN5GB+K6zPU3fCImb1eRHP/uWZk+vbKT1D28ExYBDlwlP1q4XJTlwtO4YjtNLY5qyrbroGg2bS2FfeBprKax7lmGIOg51hNXUapbgv76WQxDlHcoJjAtcjjSY3STmMnawk7gMViCqXhRn6oJe11rk5wzhDm8hkkMYpxm7EuT/j0B0k1JCGKe0+EwcwM5kPa6OoxBRw81ANFR6rR/HPPTfPDEdEOfI450AY8PswxuBt/RaLZEG1LGIZgoZGFVUMuEapKNyhokdcg6fbqudLuO5rjCNDK6OlX/tUU0lSWkkAxjSG9etaY52SFz1hgh0sAgSyDcnjnFxzxdXjV73NXpH0RIMiLCTN768Vr97eFrf0s107XMaLBIbSIEWkyI9eZ3NILs6xmlb4/Pw5siSDm6ho10NNn3g0t8POlfRaaQmhljHVA79a9pSI3OQyEGloYgSDQNTMLGRQ7jyc4RSpKV+cv6BC5LRQGCpTkVIwVlT2xpFbk2RB29TMh44jDqw+OOSH8a+u40P94ZDiiSNOOSK6Rq4WM2RCNIEmrvQuv0OQ0I+chikHK00lxcHhi8MX+Nn9z2J0I2Bnf2Kv0KARXOI6XuOT9SdyP98Wtxy0qvcs8TIDju1RlLp2bMUWtUyWMI7Xvm+39Dax83SWF1NvWLvs4OR6X6s1urFDNVXY5Bvc5rfQSmPfEBHqbVfeb+oHyzIqGcobByG59LYXpF2gAuz7vZSXwdGPmwYpLCwOzQGH7sDa9v4sHHqlGN4KFA8G/mU32DkkpSJ6zTWvldrUwjfGjAH1ins18u8uQtpWPKrTWxg8zccPr3mUS0V8NzKn4L2wj/UjMHI4WGazNWtoBN02jZOoYv9w+Ie4K+6wSIjgLKOSPvKhIQJvDrH7IJU/eHorgD+4m8ngMnJD89V2XY8MbE0rJJhpmK1EcQa912ibFjrR2H605aE6WeBBPyAIWPh0m9/i1eIV4jAWIgocrWWDo0Vhl+1waOkfXqUrUQsPzQFpnCINUmlJnezEgGeyEQ7+MJG8IjmDjlvUTbqBCkiOQABs8g0O7YEI1zhDskhwbI7QTvOfhcLCLngIG1us0hUCMFzeDgzz3ea3GKYB+2ZPBTKkleO5fYatLcqoxO3iVoZyq+i53+Qb+Z2s0hXtaNZxyJgPFb5W/dRxCKz7WrJYeZQTmxnRamaV5bNhAj5dfSp+cyjgvrhnnmNf4eWanQPVQCuc98u3Qyuf57E9orc9sY4zqzsOY9I6vKXDjgwzzh0WoWKu7FgfcepP+KHdD9FeF7GIyViGydfJWrC4gQ7EzhSCdhjPVfeiWt2zmAyOzP2qIxIvHjlMh5ZCgXFsjMzjXEKyp+6EZcwc3AiCBDb5Bvea7aWn/kQKkSUV6cXiBQ8OE20yYRAK3jkJE7w9vSWRLSRtKY1SyZoc2yOxgfkSsYrR2x6H5kA+/twOaq2VPoJAB3y2mO6DnXEmZVWWm7xFvBA8tFNO3nleiT51JwlhJ2EifQvvqne0fzm+q5q+wYgReZFDBdyutWMr2YNQh3hoHuQ6WedrBCGFxUiRDKMVFX9ttVgPHRx622Nf73Fb3optbxEzSKsuCv1Aq6DPmsHxoLHLWPo1TiNGN7IwbJ6HfMHROl1zE5mkaOqGoJGCTPpuYHD1Jr/BNt9S+LX/AnrI8zAHEp5EfXo9UAGW+RKpTlFk5Ks6sKSjGzu8q97h3eUdK7w1X8x1z+r4IiD7d6VWUgXeji0qcHj2wPtze4YOtLDI/Qtocky+b7MtkiihH3dkffoyWUqQMwxCLNUSU85TLsAUL8CQHADUht9TohNZwxrLE+M6XRNFZxnG8XixYRwE0u/tGH6VA8z8374X1b5MSixCft/7liUQ62wt3r3JTsgXudSNT2aSuttlsuQN1XIrEAexrHyMMah1TVLLHBb1/GTvo/chnWZkGvvQHeQQ1JoW2mhEUSTBxu9W36WCOg+czURf75vTG7xcv5R13KE7IAkS7PIdgiAQeoD3QneGJVGBDqSmeTAcwOOQPlWP9RvMgDiJRbH6J8d/QkVBcyUlf1YQSKGQzw1oPZdF6RhRGInPO9EJ0jBFPdEKdKpPgCK//dTRIjAl04eSJjvg8+PnMMaI9UM5hfvyXrYGnekYuNIkIfjAzFPzhKfrE6CBm5xlVqnjABArlk5kCRPgduLBZLLcvqyCFdecDYPPbcTf7f3iHtt8K6E2rxr7IcFbvAId4K68w2W48AEOkgCccaJCbrINlFYyWN6Gt+LvHqZBEFlJmDAo5IBNvMEU0oeZBzyQbBJuMHzYxl93/uCwiBd4cA+ApW881MwFeOpSGVH9loCptTAwYj2Lxgj1WCOaIpzak9BOfJBxHa0R5IFsJXzJmKcGZUGGbbYVH+Y23+LSXrihmB/m15G5Fh1ohhLhpCzm4frAgPi8iWumBo/1I95e3yIOeS22psVj/YhEM/ewSBdIwgTbYiskmCAIsE22gObG77l+xrvmHV++6ZL+aSg8No/CrjbWYJXM3O6pF460f5H0Uy8h9MN4QD3Wskkc7SjeZGMNQheSM5+UtHA1/Lzui3t8ef0Sl+6CV8tXSKIED9UDOtNhV+zw1DzRfz8Ps+3Y4mcOP4NtQoZyEASs2Lak0yitpKjmWB9hNUPFrWmF9ZuGKWpTS9V3iFC43D/7nZ/Ff/Cb/wN5z/z5v/Hnkcc5LpcL/od/8D8giRPc3N5AfapQo8Z2xdDv4XTAqEZsP55DwGEFVBxiDu0BdV/j1eoVrQmmE2LW1E6yBRnMgCiM5O+OwggxODB5P3kWZ7DKomkbXMcrXiWvMBhaEIq4kCr1eBFL4DkJ+bwtogLlmrjC63Cl3SctiUOcDB6HR2kXLYICi2wB1fEejbJIqBpac6Pbmpa5h9lGMtkJg6MtIlbskMjCTMr56qHGoTnApEYKoOqulsPENPGd8Hh5RJKQ3pWnuVg4vUD13dN3UZmKzZ/zIF0mJcOSPf88jzH29Ks8ykUkqFFLU7JvSHWOFkKtNEzFJtUsZru10swxLOMlgm4mhM0H1jRKUQalPLeSkBmqLM7Q9i3tWaaTcHY91qgMD22jGQXHO7pRPOtRGAlW+NJdZJD0z5QwChFMgXR3NGMjqN1QM7Du8zyhCrFKV8yogHajMitxa7nNagcWEiVBgnN/FkHnHvdYpNx45lEuHQovy5c4NAcc2yNeL19L4eGhOWCTb6AdZ6MiJJO7HVs457DMltL/cBkuOLQHNIZ/tu/0uPYs6EtdSp66ozh1GS4UTCbOL03UiN3RKIPa8l62k0WiEgZklaPqPEM6rONmwROzurEDNPNY22TLkK+h4HdoD9ikG7m+bGFpzZrbkvMoF2uKf1aHQYgYtN9mQcZ7en7mtEMrOOJ1vsbt4pb2TKVwCS7y5/hg5/+Yrx/YQB7qEFmSYZNt8FA/YB2tUWmuSowzxFkZeopEVYxyKZcxMLKy8Wicu/QOox1ZKDKv8rqRYcNzd+aHqqjsFFGBaiTdoAxLxJrFH2lIsoenF/hw01e/tNYSPqz6imxXHUk4yK8jvS0gUMGHQqMZvzOOoxwcbvNbtpm1RPGlIddAm2yDc3+WyvRDxxdDqEOB0I+OIZzOdAwlTlTBpmyCuzocuyPavpUL3BcU+UKdc3/GsTuiGRoJc2mlWUU9e8YsLC7jBVPNxkXf+jaBqzyPhPSlNlppJC6Rtfl5PCOdiHUcJlqPNGgvqeoKbd8iT3LcpGRshwF9sh6jphwH9st0kYeazxtUYyW163EYQ/ea19OMgHuun8Uztsk2LLkYLoK+9H/HOI1YYvmhQts0aK8tAyQ9q3i35RapTlErbi/8GjjSrNLdt3vkY04lR8d4aB5waA5y0EqCBAYGn50/w2AH/NIXvxSrZEWlQgWABvTE3081VLgOV9zkN9wQRDygBCpAmZVIJ24F9g1LbMIgFIzcImVwxfOJoyBCljHs6xv0fCGU9w4aa8S75xyxZKnmAQAKeFm+lABsYxpuawwzBL3pxe7jrMPomFy3sDjXZ4wYcb+4Z8AVEGX72l1xGS5IkYqqF4K2i3Ea5drbFEQ1ouUhO4szfHP9TXSmw3P9jJvyBqMZRe3xw7gDP5du7HAxF3gyDxQtc846GBAnmIap+Bg9TjCPaQ3JVS4PZ2edlOMcugMPKtbh0BywLbYyPPnMgw+bxSpG7WocmyPO41mGI5/x8DmDUIWCa410RM9vROvHx9uP0Q4t3pzecH2u6GduxxaTIn51nayZmdFaEJ+eWpNGKeq25vc9K4vNSDXHgfQXr3j5z3+cRnq/1Zmhq4jtlJeB1rJzf0Y/9bjNblla4kYM2YDBMVvRmha+8nqVsMDo0l/wxfULtH1LAWbmwCut5N6/Dgyty0Zqon2ktS0O3zvAdhYqUTjiiMfvPQIAvvUj34Ltv7+U4x/9o3+EP/Z7/9j/3++lf/9P//sIsxA61bj/+B5RRJEm0GTDB4otu4t4gVN74gFi5qf79mHPWj51J1o+NL//LM5wU9wwpN5yA+yte3Eai91imAYYw1bcZbqUfgxobmvjIJa8xKk9YTQj3p7fYlfumImBw3k8I3ShdGRkQSaH0DgknaWIqOhqy62k96ivkpVsyZxzEu5bxAy0bYstQoRI4xRN3+DN+Q2+vHyJZqDtZMSIDAQtuMlBBUoCzQECHjznEpze9FikCylwisNYFN274k6U4Gt/ZSahbT4MWo5qvIT85wHyaq6yVToPZ9LL5o13mZR4uDCvBQDLaSl5rSzMpK9AQ+PQHdCPPT3amr0FnSVx7ba8RRiEOA/MX3hq2aE94HX8Wtow/eZq3+zZ+zTM7qsAAQAASURBVDBe4VoekMu45DbIUhQyxqDIma+IFeeabcniG28/vPQXvL2+pcVxYvZgl+/Q9xTqupH5mNGM6MeeG7K5qKweah5sbI/UphyCA3LsX65ekvwyE0PSMGVYee4eabpGCrG8FTHWsWTQ0jAVDO80TagNcx2DYVOmVuThv6ve4aF+kABxFvE6zgJeL2FINn5oaFNqJs5qWmvOE0ph35Gvvk5ZILfOuE2vG7LV85B0O98ubGCQKJbW5QmtWX6b7m2GcRgLmOM8naUt+6so3CZqpFDO/3dlwvzLdaAVyouYX/frB4c9dPPAPVeEKyiGlDqe/CfLF4xTvPCuPW+yKIrYyAk2jq31GueOad1Lz0FrEXMgGe0IhBzAvYdzna3psZw6uaCu/RXP9TM+3XxK68gcUKj6iivVKOdQ5EsqAEn/+qp2H94b7Sgrr0vP07FH5ThQ7ap7Yqh2+U7+WYCn3zeXN2x5m1UhAMgDrk+asRFGqnFG/E6+RasaKq74+wqLaIFRjfK5xjqW72W0o1gUnOPLwg8ifk3jnBN/mFy0iitBA/q8mrFBqFheM7XEaTVjg48XH+M6XMU/XISFeEOjIEJiE8EYwpFP6zFuWmncFrdszXNzqLU7CQrTHxR8uYGG/kALmZtBfTHNu+s7PrCynXwvveNa2xgjlenGGQ5+yYbNnkoh0TxQTNOEVvFA4+CwH/eyNfBMak/gWMZLSWY/tU+yCt+kGyoCKR92i3iBxjT47v67+MbmG0hDKgp5kEPHPFBUHf2u1/GK0Y14WbzE3eKOvFrLQq1rR/STp0Ks0pWQKITuE6f4dP0pMXTzQ90/4FvDcHQzNHgcHuUA1k0fFGJfcuVDocqRmON5sot4IYphGlGt7wzvLTMZPLaPiFSE63Tl0BnQx9eoBkqTiLEO17gv76kWGdZ8b/Mt7QJ9hRflC4Z3JrY8RjpCntBaM2HCu8s7rPKVlGn4a7sznfBqPTbQgHaHVbqSNa0f5r0qF+tY/POd6QRHGOoQ+24PNzkMjsEkT9Cox5rDyETsZxREKJOSIcxZRRztSFVJ51CJ+r4QGxSReklAetSr9Stptisj/k4v/QWJSvBlz+EHoFJkDO9brTTqkcPsNmOnwWjJ3x/sgNP1xAKZeRN1Hs7sgghZ2OTRZ9Bs0/XBSVlDt9cPeRkotF2Lx/GRKr9uMXUTtNMYBgYdAT6njDW4X9zzgFw9M7ylmYNpRoapb8tb5naGHl+ev6Sv1ynxTFvHRsP3n73HH/7f/eGf873yE//Xn/i+f/9Tf/+nfl7vpT/yb/8R+de/4//4O/Dpj3yK1WKFX/5Lfzl60+PLy5coQnpnV8kKrWW4XWuNm5SUkGZo0IIHJr9pDUE7WN3XRAEmCTZqgzIlycrCSo5pMINcZ56X7gfGwQyyjfN4Pw0W9VQ90XxpRG5ya1pMPekoVlkp29LQ0KGWDeRdcUdbykA7jIbGYGkR84HCOIzx8epjLNIFFtGCKvFsyfMH2ut4BSw3l3nC60lrhu211dLaOyk2mjpFTOBz/Yx1vsZ9cU+hAFZ48VHAZ36RMFQbxAwO1x092IEKMJpRaDB+y1fEhWzwIh2JRe3UnHAZL8KeP9gDVM9tR5AHkuvwolprWuICZyRq1VWiWgcIcBkvOHdn3OQ3uCvv+HuY0Zwe93ppLwy3R1T1n5onKcbrpx7bfIsYMaDZNhkobo28TcVbTUZL6pUv+XqsH8XKOZgBx+aITbaRz70ZG2zzLQlc83vK+/TzmCKDD8hOhkO0c7TzNUODp+YJAHDuzojCSIQI3xAbBqG4D3yrqAu4edikG9r2uj37CHL63AMd4M35DY7tEcM4IFxw8O5tjwkTcp1jCichpK1ibgf6sUevaF/yMIa74o5WJMNN2S6bC+3m4j2f18viDFdzZX4M99CJRoRI8h1e1L70F2zSDRX92WrjnMN1JM0nCRNmCuwkZJ84iKUf5dyfkXUZ+q7/eT1zvvr1gwt1jhVUoMiGngkr+2YviJsy5hrJWINDe8CluyDRiVAoyqQUJckpB2OMcLoBiPJzak/oAnq6tNMIQgYxfYuV0gqn7gQ44Ka4wU1xgyRMBG/lnMO76zuukTVfXt4vFQWRhDoF+zdXtl77K6qehJIiKrArdhJYGR1tH9437hXLKIjwcvES1/6Kp/pJEtre67vLWYTycH7AsT/ibnFHReArie6H+gGpSlGZihaA8YJLRyTSIllQrR+ZdvZ/v1/JGmewytg26DFrnSKlYBgHlBELb8aJ6+y2b6EChWRK0Ie9MNxHO6I2NWLEDO/Old7ed5hFGQ71gTfwPGDfFWR3t4aYKB/0sZYDXogQd4s7GYT92tU6S1SVShEEAT5efoy7/A7PzTM+P3+ONGTZ07k90+owDJIY97SWwVDNDIIAuaZ/bJomRAkf5Of2jGZktXwckHW7ztj++vnpczx2j/j29tu4X5Ah2089+msvNdSe3DJM9OzlcS7p9rentyxdcMQ6PVVP+Cf7f0I8VUxiQBzEGNzAgFLCOvOmJ4LpW9tvyUPRr329l/Zl+pKe63wj195XKT/+oKgUXxz1SAUlVCFO7QmtacVOcOkuXDEaDmmH5sAwVUCLzzJZ0g6hRlhjxc5kJkOiSZFhyibs6z0GO2DoByyiBQOi0QoowAru6gLrLNYZQ71XfZVmV8/3v3Tkhy+SBTY5uf7KKmH+RkEkTbx+kHGOdda+SdYHwvqp5z1rZ+LDXA9fxqU0Zj7VDA1lQSZdBl5lAYBxGnFf3pOlPTCHoZTCOIwowgJjzPtlna9Z+jNTMhx4AMiCmZgxe5i3Oa0py4Q88FCHsrkyMLIB8TkCXwblca7KEW/o2bvtQPKUBUPraUj6grIKreWhv3IVlhP7GF4UL6j4WYoOZjIkqpS06LR9i+fmmQIBAlGGqmYmbswtrct8iaqrWC7StzhMB9qrQoXIRTyQTWx5bAxDoV54mBxDwZ4FvEgYoG2b9p/5XvkHf/sffN+//2t/4a997XfUX/hDf0H+9R/8s38Qn/30Z/jpf/jT2G13+O3/9m/HL/mRX4LCUn0cDcuCwgsFoTAI0QcsS/LX86VlvfxluGCbbzElHII8bSYLMyG3nNszrws9h3dBL3EapXi6PonfvJ1arIs1ruYqlIvRjEiLVMpxMp2hNrVkXM4Nezpaw5KvcWKz8Lakjaif6L99tXjF0iUwA1XGxNgVcYGmYjhumS4x2hG7codb3NLSMVS4NBeUG6qH3oPvy7CyIMOxPyKOYmnBtc7iuXtG17PZOlKRKKuxigUv7Nsko0Uk+NZ1ssZ39t/BU/uEl8VLeS94L3djGqQjn/fnnrmsbcIG1ONwxCJaiCXEW+YA9pIsogVO/YlUIaXwunwNp2lziBSfMdt8i5erl7jJbrBv90h0gt72cIaWrCRKhG9+7a64ttwMHpsjkjDBbXkrLdZeMNtmWwoJs7DnSXETGLY/tAcpQPIlfmHIIP8u2kEpJd7uMi3R9z0u5iKFYmlAi6C1xDEGmiVEZUwSTTeQApdHOSlu8Qqn4SR+faUUForzVjM0sBPJOJt0gzzMRRyIg5lj7iAUNF+o6EO1XmzJ4xxFRJSvD71nYSb2uX7s5dng8aax5QbgrGingQL29R5hyE3rIlmwYMgaXHoSy6AB0xns0h1WyQrPzbN0WqRJigF8ZuZxTqLQOH4AMQQUAz2a1m/8Q80CJuVoCfy6Xz+4pk7DD1PoI3NpzjJbystkNKMwHSdHFTeJEizTpQTUVEzvbWMavK3eUgHQVGO10+gsy1NgyQP26udkJ1SqQmUqJCpB7zhA+ZKWc89h7fXqNVPqpkfvekSGtfW9ZenLNt/KEOZRRlVfMbgUkodtnMFT/URPXsS1WKToF/PFOVBUyLfZFlVMsoi3lvjB6DrwRjbKYJEspBb+0Bz4AptYLNChkxKUaOTF83Z8i8W4wCbeCB8aCuJ7u7gLRjti3+zZthbSM111xIHlUS6197WhNWawXK2awCCwAWAha8OhH+BCJ+UDYRBKI2A/0k/pv3/PA8+iDNZZPDVPDMDOfrvWsCXODwYWlspR9qEpqxkahk6VlkbENGDY5dpx3VkPtEz4jYZHM8ZBLDmAdbYGAPEG+iKNKIjkBn+uyPONwxiLdEEu8RyU9QNFGHAz0Pc9Wk3KRhyx8MJMRtTnw3iAChTW2RpFVOBQH9BMDTLNzUSo+HP4giFl5+F5qMVi5FeGQcCHsy9yWiQLQWX6n9tvpryK5NP+u3xHn3FfQUMjCiMcuyNeLegLPtQHXPqLoMa0osqsHAdeKEg7a6QjIupmtdwrtafuhMtw+cB+H64wbvbXz0HbT9af8KVpjdBEvGK/zbayHrSO10CkI6yztXi331ze4NSd8On6U5a4DK0ws73dwjftAkCsYh7SFbMr7cTugKqv8Ng80pYTzqQTp2jJAkPgu3RH0oQzeFe9Qx7mGNwAa6wE304tyQLrfE1rkQrFb5iECa/RideXUtxE3GQ32KW7DwUpoL+4Mx329R55lKNBI9s4v01IwoT+yLkIZBgHGUyWyZKFQAHtQt5HP2FCpEiWgKO6FAWsVsdcoV2PpKx4D3c91lCOvv0kTKS0qQxKRGGEQ3XAfXbPNW/PLMaEiduPyWEyExncxqJxDUY3UkmfDHbZTnC0AIWVS89K+fv8HubW/DPfK//ln/8v/3m+puTrP/xd/+H3/fv/+i/91/g9P/578Ev/pV+KX/dv/Do8vnnE++f36NDhW9/6ltil/JDcmpZD+thTIQ8TVGOFyEYyJFVtBassnptnDsjFFst0iRAhjt0R+2ZP+ID+cPj0g6G36Dk47Ls90jglTUqHCIIAt+r2Q5361MhWyzkqrYOlzei+vBeLSBQwP+MFmEW8kAHQl9V573wRFTJg3S/uWUQ29myb7Rtpny0TYnHf1m8RBIEQcfwW5lDTP+551KEKhbM/TIOIBqtkJYqtF7LSNpU/axjZKOkV7v11j95ywF8mS27qZo71uTtLfidQDM6OdpT8hNK878/1GVdcsYpWmEDKzu3iFptkg2ma8Fw/I45i3BQ3eKpYmrXQCwAUFuuhJspv3kZkcYZX5StME4WKIinwonzB+2kWHJIwQTqlYj3zbeMWfH/EIXNSFhap5pDth+F6rGGtFZZ6FEYkzXUXsfYBQDvRPZBqZprQcLPlv7KI7eb+wDi5SVCvURAxs6UHbNKN9DN49O4229LyMjbSvZAECV4vX2OwbBv3VqV2bKUoz6NHm4FtxmYyssHNooxD8UARdBh5MLSTxXW8UpQMU3x7921ozZ6QJExwV1DAXIQL7NY7Esxmm9Um3Qj+1oM3BjOgzChyeXY51NwsDeJS315IXokVOxVGS0Hq6379wAbydbJGr+mJCsbgQ9nI7LO11gqHN1tnWCdrfFl9Kfxij0sCwOTzSGV1GS+panYcjM8D7SxwHApX2UoKYLIoIyTfGCzTJZvNBq7w8ziXulitNK49LRhVVxGnNlmESShECTg2LPqVkg9y2siitSyPWEUraY/0YUqPWbLWogd50FDAJqXFwDiDyJAQEesYfd/jLr+TQJRf6/VDjzIq6UHEAAf6x2Md47a8xbk5k5qgE1HYtNIclud2tXqsUbdEkHVDh9viFrt8h329l+a2NKT3LAxCJAuSRPzP0g0stLl2V/r8BxJiqrHi9zszVr3ylaf0c+2KHVeMM0GhNfQB5mGORbhAVJI/65xDmZXiN8xDhmbO3RlZnOHYEVkZ61isR28vb3FoDgwnzVi8RcKilslOxOYFkXjtbvIbbjxMJ95CrTWe62cW4ECTTGD4cN+mHMxGN+La024V6Qj3+T0HqGYPFSgsgoV8ToMdpK0zD3Px6/rr//XyNS7tBafmhG2xZdHJRA/4aTjh2l6RxAm2OTm4zjmkcQpnHQY1YBWvxAvoVTbeJu77KD++bCMJEmFzb9KN4ALXyVqsB3EYI5oirIoVnHGycrQBlZFTd2JbHGiL2dd7IAeMMfii+UI8ylmUoUABHWgywFUuTaFaadyWpCo5x6F1GAa0U4tPN5+yIGP2XkKzrCGLMgZvZ272znFIrofZoztb07wdym/cAAhlwXQGWZzhbnGHa3/Fpb+wT8Dxhffx+mNEOsKX5y+FCe1tXot4gU/Wn+CfPv9TnM1Z2g6zKPvwdypaijwFwtOVlslS/Ig+3xDqEDfFDYq0kACz54x75v+1u4qNKwlY9qSd5sALR8tNNBeO2V6Kx5zikBiCz890Qd9nHMRCf4GDNKd6scRMRl6SX16+xGAH3CzYAnjoDtwYJWxaPLQHocX4hlCf5UlUghatFJYEmj7NDBnrw7uD1GYrRQ9/FEZiyQuDEJ986xP8gT/5B/CHf8/PbVv5hfr6k3/0TwIAXn78Eu++eCf/+U/+xZ/Er/m1v4ae6SBAGnGgOndnJAVbTIuoQDpyIOpNj31DIo+/lvMoZ0HM3BroMwZ1X8OMDMhtiy2O3ZFkrIifoZqUNFZ7Ak6MD4QarTSRb7MFzU0shVslKwbV2xNuF7cIpgD7Zi8HSG+J81mjpmfRmFNOqDKjIZZ4mSxZAjMZ6Z5oxgafrD/BLtvh0l/orZ/vr8awx2OlVlimS7w7vxPr4rXnhsw6bnSddXiRvYBxbIU0zuB9/R4K3LZ7BbnXvXQUCK42+CAeXHpu/JxjW3Ez0IJXRAzWhlPInNlQcasZ5rioi4h1nua2CBYokkKaYr9ZfFMOD/C8+pHhUAODIiyQRAl0TytYllB4WcSkYkVhhFSlqMcaq+nD/KGhxdd/HVjW5gkqXpSJdIRYxXhbvcWxPSJWMS640M+d39IOMgtM7diiHZjhWCdr7Ns9vnf+Hj5dfwqANt8yKRkeNjGuuMJgfjd3bLFcxktmA+bDWh7mMvB3U4djd5SfzSm6Ci7thQQ0XQAW2BRsl8WMmjw2R85gPRtNm3HOb6V8191ld2LPfXt+C60pjgC0QCk30/SmHm/ObyjwGosmanBtr4hjtpzusp283+/tvXDuvWgYhAHUxHlkkS74Hh57oeUNdsC7yzu8r95TyEgDXPoLnutn2PZfwIF8mS2BmBWkVVfxh8UETBAyySJaCG/Yr/h9cU5v+eF8cfoC5+5MG0KU4vPD54giJsm10tgmW/RBjzfXNxJI3Hd7jIacz8EO0ibnnEM7tTDGyKo+1KHYZ57rZ7akQSOKiVy6dFT8AEhoNIoiHPujDD2joZd7cIOs787tme2juZVQ3TCSCJJGH1Qsa+n98wGNu/IOtaEXO0JETyzmNjjbo55qoYyEYSih0izOoAMOk5GKhF3tOa+rbMVBvOi4jh4aBCG9bF4ZjoKIdhI7CJZviibx+4+WYVU/PBhnEAQBH5yTwTJbsmoZCq1u4ayD1VbsKR4lFQURBst2t5v8BrXhIWGcWI+uoKSsqTFcna71Gg4MIHVTJ355j7RMdILa1NJ2qKHx0eIjCZEEOuCLoa+kEt1jnQLFG3DsRmHit2NLfr2m/zC0IbbZVmxMgQ7wUD1ICU4QBmLFCQIiy7zCGChSPqIgwr7bYxgGaRY0k0EWZFI+9ebyBq8Xr3Fb3BJNFi5wbI58EDj6ImvFjMJ9cS+rWICeN//Q8UVG/diLP7cZGyinBLW5yclR9geQQ3vAw+UBwzTg7fktFtECt4tbALRt+FCYsw6LlNfLOmXGo55qrGNuMC7jBWYwuM1uqdQGXJf6cGMSJlzL1gf6UyeyzaM4Qh7mEgj7xvYbMKNBN3RYLVbiA48mBqx98BeAhHibsZHD+TAN8mzxzF1/r/siIq8CPg6P3Nxo+h2N4YYocpEE3ExnWErjH+whD9t3+R3bEE2HMi0ZhpuLLfy2xK9Iv7rdyWOq0vVQyyElCRJc1VW4wD4/4fsMfM38aEbZoqyTtVj8+qFn6A0QoWKVrbBOiPbymL1p+rBVqGxF9ObQyrMsCLl+zsIMz80z6rFm7mKg9Uc5hUW4wGAHqa9PAjbKTtMkHGQ4ZmROI8vIfCup1mwBzUKSMvz9rpTCr//f/Hp8+y9/G7/zt/zOX5iX1f+Pr68O4wDw7/72fxcvP36Jj7/xMX7jb/6N+C3/+98i7ycPCNBaI1Sh+JEX0YLseh3IZu/YHaE7LduDSEdYZMyfjI4B0mVMtrZ/h1y7KxDwfrz0FyySBXarnTQ2+uCuD+516OSzXqYkaYQqRJEWuC1uOXCNFIN8adM4jXhfv/8gjM1Dlw/AnVqW792VdzzYp+zv8BSuc3cmWlLP7x+EsgnuTY8kSrh9m73r1hIJeugOUFDM1dSz/Qz0lDeGeaYszLBZbaSt2SmHp/6JW+VgwQFtbrGdpkkG66IsBOMoPmLHvEmRFHh7fovW0gsd6pA9JAiEjONbLyc7obYEONRDjdGM2Hd7GaqhQHraQAtK0zXI01zwo4eaGFmjjBSPKcVndT3Wwigvo1Isap3psIgWaKYGsZq3DHDYLXZ4qp94z84FOlZZASpYWNRdjTDj4cNGlpjOIMI00WqkQ40BA/IkR6YyDHrAtbuiSGg1cooc82Zs5Pnv21BDRYuqtw9rsCRrV+6IQLSjBE59j0wccs5zcEKg+ST/hEo7ODeO04hLS1SxDrWgjVvLgrw0YLD51J9QpiVzByPJO21D4XadrmmZmg9IHmPsf4dFVKBDx6xAEGCbbhGXxDl+ef0S7y/vcWwIw1hlK8IoVIj9uMdj8/i1nyU/sIEcILNy3+4Jqo9SZEFG2X9iEMljjoqIIa1NuiFaZ0Ze1WONfbUXNFQcxFwtNWd8uvyUTNcoQWr5C/rs9BnavsVgBwZloBgEm0NN9cg/97l5FlZ5qNhY1Y+93PT1VMNNJIqsshWqgXzh3nxA7nnfVD3WTNhHGTFoDct2lGabVxZkQEzLQzM24k/qxx5FMlc1O+B2cUt+pgKVuu7I5sMoQRmWKIqC/lxHEsSpO2GbbzGC6kXgAgY9HVUMP3xprZFofnaBDqS5LlQhVjEVkVCHRHCpUCrsjTEk3Jg5TJTScnNsjrjaq4SDqoHquA+PejvHbX6LLM6kpMUjnHyLWGsYPgM+BICbsUGekFk8TiM61YmCEQSBrByDkOUG9VDjtrylghzyJRfpCIf2gDzMiTiKMqxTkin2zR6H7sACoplI4UAW7SJaSJD30nH9WoSkLZx7cuT3zV7Ck6MdoQKFIimwb/csq5j9ek3fCEvfThbL5RJ1W+Oxe8TD9QGRjnCb3eLYHz88uOICT/UTYIFXy1dCSLCODZejHZEFXOWNdkQwBbKS9gO3f4Fe+ysDnUMtjblaadaATzz8hDrEMqE/9NyepbhksrQt+dKM1pCDnIVzVfFwIroy3cFYgzIt8a3tt/DZ+TNaLBRXri5gC14URvRV9ldMoJKVx7lsOOKQlpIszABADklFyBX5fqSymHQM3HhLlFNOkH/e6wewsMLThvIol9p7j8H0a8tDfcB1vOI6XIXtH2uSnrqpw1P3RNvaimtiPxgUcSFFVHVXcxtjDAZFMWCRLlBEBeqhxpenL/GmfUNLhyEus0xmBJsdGGQHhCXv76Xb4paYUh3SGjSH4TXIrU4DhrEfr4+k1gTkF2/SDWxqkXZ8VrW6RWh4b39x/kKes76I56a8QdWzgMs3bnqbyzANSOMUec5N4qE54NyesU7XCKMQkYqwzJZ4vD4yUDgP26fuhE023yOGRKk0SRGZCDpgmN33G3g2ehIlCG0olex3xR3u/td3+Kt/669CDQp/52/9HfxH/6f/6AfwBvu5v9598Q7vvniHv/e3/h7+7H/yZ/H6k9e4f3WP3/CbfgN+3b/x61ggNRfUZREV2iigEPCueicoV3/I8j79IixQ6Uoac7uxY3OkpV0lCDhgWpBENTli4LKIG7bH5hHOOg68SskG1sMLfIN1mZRwysmW7vXyNQ7dAZ+fPwdAStGhPdDiNONkvb3UONoLrsOVuRnw+fzcPNNy6KzYBb7afpwExA37cr84iLE/7vlMSHJiZwtui/yhwkxGLBWtaVGNLEq7LW9Jb1Eap+aEu/xOrJre/uf7K7zwdlvcwoFUDn+AXyaksBRxgaAJBBt5X9wzEzVvHfOIxWyn7iTdCst4iX27F19+GhHU4Ckg4zSinmoy5mdClLUkmuVRLjZK30h7aA4M4vZHgUx4O2U/kaXdDMwWLeMldMjs0suSWaJzd4YxRjo+lFNybfiOEQXFPoJC47l9hpscXi9fozENqTOmxyebT6A1D4rLaMmitJpOgV224+93Lkd02snmZJttscpW7CyJEhRqPmjP4Utf1FXGJZY3S/Smx7vrO6GWFWnB5521yJMc9URbsqdK2Yk9Je3UItUpzgOF2mW0xIhRchi1IaKxRCmbd4CWTr8pdo72wjDg3BmHzDFkYYZ2bKGsEmvnLt+RAmcuIlZ+3a8f2EDeDA2GYMClu8iKx7dLekRUN3Lg8qrPq9Ur/Oz+Z7Gv99Lu6L1n3pM8mhFpwIdBoAMJ26RhitviFg/VAxm/yRZxzFVeEtJHXQ0Vmr4Rj2czNFQnZjWsiAs8teTqJlECZRXrXKce48j1oMcA3Wf3eFe9E49pYxiGXE9rNqNFOckSU4vMZdIAmUYpYheTJ2qtrItPzQlZTHTVx+uPkVQJHms+XPOYHt3OEhOZhAkOlwOaocHL5UtZOU5uwhJL7DLisQId4HQ9STGTRxoVcSG/k37qkYc5+qkXL+fkqEyHNsS1ZctZ0Ac49fQI+/VVHMSIIg6Ivnp6XbLx07cBLpIFloqrL69KRDrCKl5JyYJ/QZ+6E3SgcZffIQ3o9y3iAqMZ8VQ/4a7gOmswbBc04GfnT9AaVDuSIJHmvzRkwYH3wynFoJnqlZQNxWGMXbFDY1jZ7gMw/cRVc2973Of3pAMZ4g9PHRtXf/TmR/HZ4TM81U9iR8qiDwiyJGYg7DjwtB2rmCUxcYwFFsLhDRTbS9MgFW94CKq8WUwbTt2zeGKVsJnu0hP1t07X0hhbD7RznLuzBOcO7UFelN5v7u+Hdmy5jp4Z0j7AvEk28nLvJvqy0yhFohNaH+YQk/eAb7INnttnRGGEVbQicWRqsI6oVAx2QGxiBGmAKIw+WDR62tXuyjtYZ+WA8NQ8YVKTEGUA4Nyf0fTcUnn7GUAF2Fkn6nU1VNhmWxmeAYjC2Jsep568/V22o1KkKjyNT4IyzDQbZC/9Bck1keeFb9ZLw5TtoGDApx5rCcXFQYxmbJhRCSP8kptfwkNif2DD28zZDnWIQ8vioDIpuY2Ztxq+yddvz1bZCmP+oWQtDhhW/fb229KImkYpTEgyk4UV7q4fbowxSNJECDRpwBCccwzQDwPb7CY1IdWpBHfDgOpaHzN/sC2YqUkCXgefrD+h5WI0eNe8AzQPGyu9kjZUn1Ex1sjBeR2uxWvtqRtZlOE2v2VjpOnwoz/yoySdXP/ZQc8f9Ndn//QzfPZPPwMA/JW/9FfwR37yj+Cjb3yEfMGiuU+++YkgAHvbi0+1GztaB7JSvNKtaXG3vJMmRI9TTTSvwyAMcGkvKOMSH68+5vXeVzi1J1RthUtHZbExRLh5akY3dji0HPh8EZvPU/lr2VmHp/pJBu80TLnVdsD75j2001jlKylsuQ5XIuu+YtHqphmF25+xzbfYhBtoaKwyvoMu/YV+5vke+nT1KTrXwU0Oy3xJ1GN3krnhbnGHQM22riCUoq1Qh+Sk9zUGNzCQPV7w5fVLlu3MDa2rbCVM9TzKuQmd+e/GGT5T5+6OV4tXvDZTvsMGOx/yjUGLVraEa8f28UW2wHk4I3axgBeyhP0T62yN5+qZlsKIc0oUs3G4HVos4oU8m6u+wmW4SJvmTXZDX7gdRO0epgGbZIPeEq5w6k+4XAl0uC1vUahCCpZCF0qwO/t/U/enMbtueVofdq11z8Mzv9Pe+wxVRXdVxaSbEIyaNmCjJkRBMhkkG9wCrEREdgYCUYMVwwdDI9ltJRIxxgK1GxnoYAkayw4yjqzQIcRWI8CKI2Rw011dVNWpPb3DM9/zfa+18uF61v+tYwZ3HWjKvP2ha5+zz97v+zzPvdZ/uK7fFWe8r6NcTO95nAuOdZWtaJA0nHr7kMNEJTJ5n+yEeTzH6EhbyRPKQIeEQ4gwDSXDww8+/Pl76ugf6ieGNsFdaFNhgrqvxUPjMwrikFST6+Qah+aA88QAxBDExc5ybowfmgfZrowTm1VrLeVCF5S2r8N8uKF1VvI4upE5DbHhWSpDrUuyqLEG54kkqMf6kU3F2MFZh7b/7OfRd5Sy4jvYTcEIcGPptE10Ik79x/oRVV/hqriSh9QXiN706adX3djhsX7EOl+jmzo8VA9irrspb7BKVji3Z6IUbY9Sc+2j3CXG2FkYRfOY1lo0gF7LNE1cYaVhijIq8Vg/Mq5ea5E2RDoSUL+1VvjjCLkG90mWzdSgGRrczG6EMpMggQFXidYRqehB/6f+hE2ywSKnzq4ZGjzVTxgwCJnmtrglc7k/ydTOWCKEfNhDEvHS9YmMPpVLaSUTtjzKxcS1CTZksvY7MWcMhmvoYRrwtnmLTGVY5As0XYMszvBq9oqFb/g8tQx1KAEhfr116k5MOi1uMY/n2IU0pgXglMcz5o3l5NQb6w7tAVfllUxxfSCCNyp5vFfgyAzd5BsAnK4e26Nc8kVciLygmRqhCJyHM1Pihh7QDH6KwxjngeScJOJEtbEsoFfZ6jnYYqwxD5iSliYsrL5w9QW8Gl6hNZTpjBhR9cRGvq/eYx7Pn6kSl/TObbPFdXZNhziYvOpjlrupI3pOPyeDei3fMiM+LA5jiSD3h8uhO8g0qOorMQZ1Qyevh6cL7VtKrgYzMPlMsYE5NAcc2oN8jmpTC3KvGRsWbHEqW5W2byU1NtGJoMkCHQi7vx0Zsb1Ouc6MdQylFZ7qJ0qUNI28ox0x2vHZeN0w5bE3PUzD0J1+7EUqMznqPduRm5eu78Rk15setrcikfHr32PHaOpNsUE7tNhPe4QhMWEYSG0qE4ZGzKIZHlo2JVn4rHMu4kJkbON0yRswYFEZZJJB4JGlxnJycxPfEO13ei8SMq/J98+nN6bOkzmj2S/ps7OYzPNFymbH69erqWJC7nCJgb8UW35dPFimUn7p+ktkNSuN25L4ua9uv4o4Imd+1+ywa3YIwxCVIxoyUQwy8nIqpzhVKuIC2mkkMRMng4DP4RfiL0hzmcYpn4GuwTKn/jwKIpRZScMelOiuoYDDxMGBvzN2zQ4v5y8R6AA/8Gt/AD/xf/8JvHt4h7/+N/86/r0/9O99Zy61n+fX7/1dv/dTv/5N/7vfhH/6n/2nsXm5YYGhEykeAMAaixbE+hljsJoRbffN4zfxVD0REBCHYlD0MIF2agENIS+d3ImJkZdAu2N/pHTyQiPxSdfepF5EBYI0QN1zovhUXXI5wgJBwCTZp/aJzVyYwEw8p63lVH+TbeSzVk0VNvEGeZKTH13PpME9d8yyaA0LmSImHtADHLxu3SeznrszpaJas9jSxJBmYQYVKnx9/3X4NN4iKrjRqh/x1DwRdpAUkm781e1XcVvcIo9y2b4t0yURp+0Wdc8BRh7kRAhech2+1cT/rnsH0/PeTpBwA34JXSviQmR2vaH0B46ylUgzRyPWNDpaZYVUViSFIIg9y9/XPf3Yy/uVBAnage9zj56hOpchnZezHboD6v6y3bIcHCzSBdN3weFLPdUIEaIICkEhJkECHWgZTHnSkR+M9BM56ItkgdqS+f2tAXc+O2aREDGbhAmUIpXGo2nDnCXoY/3IIL6IA5Nu6Gim1yuRSpVJiTRICdkwPRrDc+d2zfevGzvsqh3qiYml3lfkrCM5ZuoAS7nifXWPm9kNxmbEi/IFrLbACHSOqbS96bHO1kyBtgwq8/SUc3PGU/+EuqspRTQdqrESGe+hPXzms+HbKsh//+///fjhH/7hT/2zL33pS/hbf+tvfdt/sY9Z7kYyxf101oeGpJa/9gfTqaMeLosyXJfX+Nmnn5VJehAEqKYKVVfhqX0SprVHCVZThXTgn5vFmSDDAIZRWGfJKLaTFIOes133tURLp0GKm9kNtNKcHsEJpzjR/PBqaGFw53GOpKdJ1cGhjKkfzaMcGhpv67dc/+cLDCM3BGIQ6VlMBUGAyHG6ObpR0EheShEjlkjhLMoEgxa4gDpeHaExZDunaYpzd8ZXxq/g1ZzhBU3fwMDIAeHj3dM4hRp5QFlYhjkETBEbzADlFDrLKO9qYIx6Mza4S+5QpiULA8MCyjNkTwOnH9BAO7ToXY+H3QMezg+CufOscW8+E+b50ODV7JUkZTrLw+aII2IdQycaiaIWrR+pHb8pbzDPyAb3D1NrLhKLOEPTE6PXGfKqz8NZpELrbI0m4Jr+m6dvPqeWOoNje0QYhsgUXfKeIBMovuZeElH1lYRbFWmBm+gGh44FbT/1SFWK18fXDNyI+bM3rkFsKAVqhgZ9SsbqLJkJlcc/N2lE+kqiEtiQRe46X0vQShqmeHN+g3YkOSTWMZI4ETRZqEOUSYkKlRiM4zCmC98MsuYezIBTe5Kp19vqLWbpDJt0Q2PP0AjTPQxCBsBkV3hqn9AF/IxMbsKmoJHGG1s1OBFLQzKdPS2lHmoYGMzjOdKSWulPjp+IbtJrwxUU7s/3NKVlCylYfaqsUgxoeeweYSvG1cdhTE9BkGAKJpnOzpIZV76XNXVvejSq+ZQGEgDeV+8RNAFX4gmTcvc9sWF+wuYpFIMd0PSkBIQIJWkuDEK8LF9idCPen9+j6YmIPI0nTP2ET3afMFEyvxJmvD8fB0uiRTM1yAOeZyFC2Sb5TZAOtEyq/We7HUj6mcUzeR5CEzJ8StOMqizpCH4id+7O9HiYRpCvURCJ5tOf5ftmj5vyBh+vPhYakAHJWaVh2M0yZ5Lwf739r/FUPTF8KcxhJsoDNTR/fdG6tuMlRt2wiJgnc3kvLFi8ZBGlUr/6B341BjPgn/gl/8R3rCD/LgCzv8+/PwP4ub/LP/8zf+TP4M/8kT+DH/6JH8b8xRxBEgi/fZEtBFkZKN4PaZhKQMmHyw+ZvNjt0bue91HCZr0ea5FbcSYUipH/3emdUJkUlJh5tdLY5BsWyLZF27XcPBt+VsuM2800TBmeNjLVsYxKdKpDohO0tsV1fo0opPxy6Nn0ebwqFJGe9VhjXzMTxJN9RjvK+amUEhmlM04+53mUCx3j68evQ1mFJExotr7IH9IhlYnvaEbxE3kEXh7nEnbkB01eLrFIF7KtH82ImZtR82/5DHcDh16RisQwfVPeSE6DhZUJr3IKZVriqrjCttmiiCm1OzZH2cZObuK9Zx1W6QqrbEXIg+HUuIyYxppECTLN7eqxO6Ife+ybS5K1juEmR+lTzOdzkS2QximeqiecRiJFPRTDgQE6zvC8jSNuZidH/8eL2QuogL6DfuRg0ntZfB12fyZ+2UsMZQsdc3s8DzjpLmKiDH1oVRZm4tkJdSgS2mN3hBm5OQcANXH67rGY3iMUBETEvpq9opnZUqpzaA8Y1Qgd0FN3XVyjmips+63koSRxImZez3d/aB64mYbFMNIftkyXMqDyqoF9u5e7MUCAtmsxqAHGGByHI044PSeJf8avb3tC/ot/8S/GT/7kTz7/AeFnG7L7xLHBDui7HotswRfAjLABJ75VX4nhUgwNdhT9ZxImWKZL/t4zebdaadRdjSy9FN5Qz1IYyynR3fxOHMvjyElRN3UYp1ECR5qBh43X1mkwKcqjeAwMrotrmQQm4XNnbCaDMKbeOokSzMKZxGfDQVbNu2qHCBGKpCDf8+JE9tHds3RGacbYiuSgn3pq35yRwykO6ByOdCRSlDRJKbkxE66La6EofHL6RNbQZVwiDmPsuz3NVXEuEh/f7UUB6Sue222tZbSv7ajRvVzQk5lwlV2Jacl/KI/dEat0hV1FCc0m4zbEs2BjFUuS4N3sjhG97RGn/iQXfgjyd5MoockXuTjgH+tHuIhmHI/FM5bygDAIscpWon/1Jr7tuEU0RXhfv0ccxLgurnnZTw2O7VGwYuf+zO/Vsjj25IkJE4qgEDSU//dlUrIJmUhcaaaGayzHYAufzFiNZGVP4yQIzmN7pMaxIyfX4zJ9UxkEASdRQQJrLJ7GJ8Q96RhJnDCG/rLdAEj8qUeaWAMEUAHXfVpppEEqrvI4oBwnAFfKnhj05vgGRcTP5UP1gIf6QbBqgQqgHdNcnaMeteorUnPiVGRAWmloR/MwwM+XX3sf+oOYPzfZhvKp/iB6vizKoCN+L1nEZmXX7QRxmmkmBs4SlkD92EMHGsrwYnhzeiPbmSAIsD1vUY1c2b9avsIqW2EW0hfgKRbeSKahyU4PMxyDIzCygfRc35vihvxljBjNiDzIOXULYoQ2ZFgTuLXz2ymfXrfUS1hlkQWM5vaFMC54UGMNU3E7msGX6RI6YKMRB7E0r8tsiSIv5ELyiavfipH71sjuTbHBQR2kCFFakUx12Y74lD6/wWsHhokchgNpRxlNug/1A6Zp4sRp7BjOoRPclrf48u2X8aJ8QbmWZvHuN42n/iQpl6lK0esL1k0l8plLkgTLbIl1sub5ki6eudrxs3Y40hFW2YqSjrGRcyIJEvzS//4vxb/7Z/5d/NT/56fwJ//IM0f8F/rruwB85efx+74bf/eiHAD+rd/5b+HX/tZfi8996XNYLpe4+eBGhlI+0dCBVJNBDUiCBIuExUx36tAaYuMSfeExt1vAghPey8R0MpMEunR9h1SnMsWsJ07O35zfkJhx8RklMeVr+36PMiklebNreU+I1OKi5Y0s7yrvN/H5DT4LpO5rkdMZGDGCF0lBHnWUS1T6oTsIUrCZGklY3LZbQcJ2tsM4jphNMxw7yqwGN0i2xrbeYttucZVewSorvopluhSK0LE7cqCgQ5z6EzfTsOSDG0Pa1CXwS0HB9Aa7gfkdrxaMoG9NK3IGYzjU8iEyk52wzJaYxTNUA3HLp+6ERbLAdXEtmQGeNuaTH33xDEdCyd3sjsjMyx3qZYJBSNxunvJ99shNH6rjEZFlVCKP+HsW+YKm7bFCoQoO0pIFFilpcP3UQzs2aN431UxMTj20BwbeuVGGmX7SPlTcMPrBkPee+A35SZ+Q2QxJmIj/b52tGXamgHikTETAE3UPDY19uxfq1GAHXBVXUJrBSw/dA0lOUYKX+UtUYYV5OscSy2fJYFpK6rEoA8CtufcoNiOHO4EieCHQPLO8n7E33NQ3x4b4UNchVSmccggc/TX/zWT3b+fr266mwzDE3d3dZ/4L/ZcgZ8pb3J/vBcnnQAOEp2Rcl9eYx3MJCfCJmC/mLyS9yktOyrBElHENdGpOhP9f1i9P9ROu8it8fvl5aofiHPNkjqf6SQr83bQTDFwapoCCJFhmMcX8+26PZmpktRNpYqpm6UwK9ZvyBnmU40k/iSEnCiOJ8+3GTuQJPrrdOYc3pzcS9ZoGqQSXPNaPsLAiIzGWF+6r+StJfvT6124irrCdWsRBjKv8SsD63dDhKrsSmshkJ66VwhxPzROemieUcYlqrNAGLa6La2RRxp8/zFANXH8PbpD3ZFvTdLNMlpQBWIuniq/pMF3wi+0eT90TDZDtkQVtXMhF6rms0jRpFnwampSFpMC22TIFERCjnkeiTYZGYB9kohwRXc4x0rybuIZKI67J1ykd28M0iCyjm0hASSImOnrKShImWEZLPOEJAFPwppEH+CJdiEO7mzrRYjo4oeYopdBOLWxnSbgYzpxUBDnTMaMUURgRwXeZenuslWfMerzdVXmFumdBP5nLZ3Jq8dg+4nOrz4khsB45QX9/fg8Acth7vbSXLHkjUKACwTsCpLEordCaFvt2j/v6njKoccQ6XzNkYTgJYWaYGBA0YkSuOOEc7CBSjN72fB+jAvtuD6cd+eaX52y0o6QUpmEqzO19t5fP0CydYaM3GMxAcoAZkYUZrotrHNsjzckX06kDtydP9RNuZ7dwPclKScjX8Nyf8fb0Fh8tP+JE3TRcpWItPhAfpZyqFK/71zTNXUKtbsobJCEDO4w1NKSHmazq58lcntMBlN6lKRvkbUVGdDVwgOA3cpPipiZUlHY56/CN0zdICrjgTG9ntxL4EegAy2QpnwEdaKSK+El/gVhLJKVPyS2iQgYanoyRBDxz04DnnU+dS6IEr0+vUQ81VnNmINRDjfN4xqEl1/gqv0KRFHg1e4UPlx8yXe/yGnzr2n6yE9bpmtsDM+DD1Yf4bvXdeGwemUg5XLCdI5u9znYi3WoG0obAPk14+3EQM720O0HFSiZ0f/On/yb+pd/0L8k980N/4Ifw8O4Bf+qP/ql/4Dvr7/f195uM/3x/3/7dHv/B//mZo/7P/x/+efxT/+N/CuEQIlyF0K+0YOu6gcmIBtT0RyHPi9bQ2DhMA0Pxpk62wA6Ouu6gwLJcIhszlGGJNEnlWQzDENt6KzQPb8BthoafZztgGiaRS9Rj/UwyCkP5vEWaksNxGgkWcErer8kwGdkH86WaRfWxPWKWzghHuGxjq5GEnsfmUXj3E6itzsIM82wud8ZT+yQc/c5SwhhFEebpHPtuz41uEOEqvxJztje/Bi7AIqP/YttusW/3yMJMJHajGenNuFDJ8iTnMxekiHQkElsFTr33/R6q5jbAT003xYa/DiK8KF5gES9wVRIf6pQTMIXXKldDRT+X4TkKBSGu+X/XG1JpPCDBb9ATl6ABZYw+pTwNUyyLJRbpAotkwfTNCy88UAwwUk5J6NssmaG3PeWbF2nKfX2Pp+YJy4TNjJkM2rFFEnEg6RNnPVXHGMoDh2mQnBGnnATHfStNJ9ABDt0BaZTKpr4d2OQ1E8OHyoRDxExlgAM2+YYerG5PuVu4QJ7kYkD1m9je9LDGYgomQT/HOpZwvDignDcaCQUwgcG5P4t8yRfxWZhxY6Ao4cEIHJsjTaPWcNMf/CM0dX7lK1/By5cvkaYpvv/7vx8/8iM/go8++ujb/ovLuGSC4yWR8O3hLZFXOsU8ncMpxoP7lZIDGb2TmfBQPzwnfBrDaZSKoRKFwhWclkFjcAPUpLi6vUwNlFLSvXsBv8f0nPVF63oJbZhGFqJP9ROW2RLzfI5dy+jy1rVS5C9SrhXziBH3vuN7d34nXN5uoM6oGhi0YyZOrbwbPQ1TLNIFnuonrupSYvOasZEtge/O39fv8cH8A7ycvyQt4TJB97o/ay2qqcLLOeO3zz3TtXTMpC9PUrjW15gwyWqv6RtiiC5owizKuFrsaxz6g6T+wUHIKTrQCF2IKOaU/DAcWPxPHcNT8g2iIOJh5RQemgcUcQEH6nUDHQivOw54oYSKcbpRGsHAMDVybPFueodjz5hif/CVcYlTfyKL+bKO9SYcpRnv7fVk/dgjiy60DigoqwRXVfWX9+UiqTDOSKPmNWznnjzddmqFVb5vLis7paTDn2dzRGGEZUAD77E/Yt/sSTOBRmMarnbHFjrSKMICzjpJeXs5e8lNxdRh7uY8zMIMXXeJqA9SWa22YyuhPJOZUNta1mxJyMm5b2R8oIICG43RjNQQR9QjOufEDL3JNzi2RxZ4IWUrk5s4sYJhCm1fY12sZVI1K4gV8w1SFJBaEiGC1VYS8D63+JwcwN3Qoe9ZPGqtBXmqFN+bSHPt7axDmvDnlqTYscWxObL5DGlQ9Kt90UpPo9B3fApcZzrUYy2ysyIqqIMeK1QtQ7n8Re+UY9Oh2RhkQcZVe7unxjFbUWYX5/hk/wlGO8ohPpoRm2Qj6LNu6kSCVQ1EfHrGcTVVCBHiqX6Cs04SRXvzXPh4GZw31/ro60W6QD/1OE5MIqyGSrYdZXQxt16ei2qo0Jueqb+XgtmvhKu+ksCveqhpVrIGb05v0Bkm9iqnEKsYRcaNT9M32Md7SgHchNdnUmOUUjQaDzW9JFEG0xvRrltnkac5kiTBMAyIIjKUH+tHKK2wSYmcNM7I9D+NUhk8eBO2hZVBgIPDw+HTyLHv/Se/FzrWv+AF+S/E15/9w38Wf/YP/1n59Y/9pz+GL37xizi0B4lGrw6MCNeaYVvWWjzUD3hsH0U6MfUTdKZRJiVu41ucWgZ83ZQ3ACBmvSiOcGpPcMqJ8befWNDNM8qFHuoHaPDvusqvEAURccCa20j/nPlhyKk/ib/iqXrCsT9ikVBK0RnKVefpHAYM/Dq2R6RJyjPHMvTl0JNcYnuLsz0Tr2e5xfnk8AknzIpFuJcrKqUwpAMODfGEaZyyORhHarqDkNHo1jF2vdwgVMwVqYcay/QStGSd5AREOpI7IAkTbDL+N5OdUGTc2J66E3rTI4oihO459A4KNHYCuMqvEBYh9i1zM7wZdbDDp4zSox2ZmGnpGWqnFpGK8DA8UF6rA6JktUYe5BhTbrc92lJrjUxlcBkLY601XhQvsEpXWBdr8e94OaT38e17ppf68DRPR4OjDy4EiUf3zUUumC5EMx6rGHmS49Ay1dPjWpfpEkVSyJYGGti1LJqzKJMmLQSRtt5z5ge3ZViitrXgqQ0MYIHBESca6QjzaI6XC/pKsoh4zofmAT16mXBrx/fS8/VHOwrWt5/owbLWiiRqMhM+jj+WTaQ3STemQZmWWBdrbENuX1tDdO0m3nzmZ/7bKsi/7/u+D3/iT/wJfOlLX8K7d+/wwz/8w/jVv/pX42/8jb+B2ezv3vv3fY++7+XXp9OF1HExVlUD45aVVnhq6Drupg4frj6k0QKK3ZG1YgC9b+55MJteGLw+yCUJE6RJSvavDqTTjwNia3rTI1HEKvlDx1kHpxzjjA01TKMZAQuMjhroaZqQZRlUp54Ltgus/9gdRQKiNLti4wxezF+QVd7TvOiUw6k7IXQhgpBu5mW2FLnLJt9gtCPuj/csBuNcSBAeR5RFGZIhkSCl6+KaWmPD1zjUIebDHOeBGDTPOY7DGHVTi+RgNNSjj5YpeYt4gTKiPnB0RG75yfosmeH1+bU8CKfuxGjgi1zFFzqta2m2STSuiiuUcYkyKYX8ksYpwiGEmcynVl1pwKloFFJGskyWnLRMLFYnRUrNvt1jnsxFS+yLx1CHyGKim/zq0LNwFRSnAZemYNfsqL+9rAO97naVrejORyhmMh/EkoQsnr0M5a7ghkhrmua27RZpkFIzGCiGQGWkDZy6E+qBDc0qW+Fl/hLJkOAb52/wwA+dTMeTgKisWTzDENChvkpXWKZLNCOxU5t8g3nJ3+Mnh6FiB+/TGouYJBnPwvV6fl+oOXCFHIVMnfVGz2N3hHVW2NvVVOHD5YdMrjM0ova2x6E5IAr5evqmOggDJGmCMioxK2dsYAbiDJECh+YABEAWZMjjXBoeA6Y29rZH7GI0XYM45nTav+55nAMaYpCe3CQI0XEccVPeEEd1SZyrxxqNaQR5GegATjkssyUlXzoV4g7AqXBvesGrjRjxeH7kBaNjkX34FFifPZDFGbFbF4Rk1Vc4jAfsmt1zvP1I/W03dRIWFIWRJC0qx+muc0wZjYIIScSIcV90JiGTUrMw4/ufzrFIFljlq+dwpzDBRvEicMahsx2JURcJ0Dyec7IX50LQ8BN+66xoIydD/nU3clrfji22lluw1rRwymETb3BdXAt9IFaxGLhb1+KpfWLKXVzi5eylxGX7yfa23UJphSzISNdJY0lTPbQHFFGBR/uISHHKCg1OzC7r4N70OHUn8Z3EOkaa8j398PrDT90/s3KG5csl/v3/17+Puqpx3B/xr/wv/5Vv59r778zXH/w//UH8yh/4lfj1/4tfjw8+/wEmO+GxemThFXJCeupPeHt+i852eFW8QhqleBwfceyPeDl7KWjFfuoFc6ihcTu7hXGGOueoQDsStRlFETeiyRyzzQxf2X0Fu3oHaCDs6RdppxbLbCl0JAsGbo2GnPQi4gDmZw4/AwdK3AAmrw6OPql+pNY9CRMskyUlrS7GY/WIIAyEYmbNJbBMVUT0TqOYXofpOeejTEv0A3M50pCG7nqs8XL28lP68KfmScLeRjtidAQy+AAlX8gppahDjgtSRxRRrKf+JCZzrbX89wYGrW0RIsQHiw/EF+Yn6l6ee+yoJbeKUtA4iFGmJTXiF1UAwDMqi4mFDsAm3nuItKZHySqL+/M9HCirW2ZLmTo/1o+SJRKGodwb7diKxHCRLJjefdmkjmbEuWNR/TJ5SRN/V+Oxe6Rnb+D3WySFULiSlFP+F7MXlEteNmX+rAVI2PMkk3Zo8dHyI77eQQwkrLl8YJNWGlZZwABnnCUoy2/OC10w2OlyXvqf+a6847DlUJBffyHYzVLy8j0TPgloTHeBe86imWguzsKMw0XTiYyqjEtSuKZRBkJWWcySGZZ6yQTi/h9RMNCv//W/Xv73937v9+L7vu/78PHHH+MnfuIn8Nt+22/7u/43P/IjP/J3GEEB4F31Dqmj8WIwA+YZcXzQwP35Hm+PbwFAAP5JnFCbEwCZzji5Sp7XW3flHd6e31JKcOEP+8mn0kzoyuJMVrfLdClAfR+rHgURenUxwVzCQ67SKwD8ENVTDR3QPKg0J8hF9Cxd8d/PMl1ydWTohm5GGg52DR3AHrvUTZ10c5GKkGSXB2EcMWCQ9X0ccjrutcmzeCYPQTM0wnBVmpf/y/lLpp06To/8urEZma5mDPWf3djJAT26UXSsT+0Tkj6RtWIe5hIJv2t2kqLl0+ScdTh3ZyZHXqbKPpZ9ZamdX2dr1H0NpyjJyeIMN8ENqq7CoSMn1tNQQhU+mxjNhN5yTfhq/grWcsV4Hs40TCqNWTKjfOSyfvfc1/fn9+T1Jku+txPT27wOM4sy0cyOlpMTj2Xy02VjDc26SnPyOTLV1FN0AsfgozzOqXtHzI3OJeVwNMTnLeIF3tfvKVOIAqzSFd6Mb56TRUMGOF2XDPxJTIJVtsJdeYdde2kiYurkZ9lM9LTt1Epiazd1eDV/RbnTpaHSSkshuW22pJBEkVyACCESnqqnKdqHgORBLh6GMGIx13Ud7uZ3TF3VkOCgWNOodFfeoYifD1+PBPSr6M5wGzJP55JcmiZk5PrCfx0TnSf+DM0C1YVk2sZBDMRA3ud417zDYAaUSUm0l7usTPseQRqgdz3KkCYeX4CO00hyULKDDqiFz4NcGrM4jNGPDEI627N4KrTVolGF4pnQqlbS2zblBq5iPgEcecxVzUm4bxSSiObvMAihBoVtu8XkLhs+rYSxX48MUrLG4r6+R6xjhsFcnm/fLOyHvdAbjDPQjkEenlPvm2aPC5unc5IZxhZvjm9YIF2ILj54yEdq132NeqrhJicNUqx4FrWmhTUWm3zDkJCJDeRVfsWCaapgJkMU6IUgNItmGJMRu2aH0YwyHdRKy3ClzEq4iaEgNWpsgg0mkLW8rbbYBTs2KprhJbN0hnk+l8/bl774JfzkX/tJvH54jaIscPMh+dMff+FjknqmEX/o//aH8Dt/6+/8dq6+/058/fRf/2n89F//afyx/+sfw7/4O/5F/MD/9Afw8qOXHL4ojUN/QBzE+Gj5EQ7dAYtsARUoREOESFFWscjYnPvQm1k0w3k6CxfbJ7uWSYmmJwnMf3lwwE15Q/NoWEiWwybb0CipYyl2Vimxg0HAUDSvOR7NiKuCRmI7PqNWW9Nina8p77QMDYyCCKkm4tYEBvNsDh1oSiOswqQnPLVPsJahNmVESYOFxQhuY9KIsrjzeMaxO1IuERUYHAkmSZDg3fkdDAw26fPmyJtdvczEb5I82rUeaxZsfYd7c08zsrUocuL88iAXopeFRWcoi/TEkSzKpO7wnqk0Skl36vYiOfOoW6UVhnHA6EbZrvn/75vtLM7wWD+id/0zQewydddKY9/txd9x7s/8HqYa82iOLKHsbggovzlObBYCxURdpRR0QP541xBfuSmfZTiRJt3Kh0XFEX0FvgHztLTe9OSWK81tfbvnxm9sRXpmHWEezjkOM51DNVVCbVqkCzH4F3GBeTTHvt9zM38J6BvMgFk2w4gR1/k1U1w178UojDCOoyA458kc1VCJCkBrfoY1tCArkzBBbbhZfXt+Kz4Ha/j+XufXbIrq+8/8jP8DYQ+XyyW++MUv4ud+7u9lUwF+z+/5PfihH/oh+fXpdMKHH5KPemx5CS+zJVbpClmU0UQZ5zgNJ+QNUUOn/oTMUTPkzRI+yManZKVRin23x/vTe6iAdAVvumuHC2VijKXA9alSUUAM1zpf0709NoJ/OrQHGjFBTOO+3osBxWvDvRZpshPend6JflxrjX3DD9o8meO+ukcUXWQMdkAe5jTeNFtiDrVF05B7XqYlmrERc5nv6KuhkslGN7KYF1MYqIOaJTORhDxUXN8asKjcZBvKDsaDcFZhADhIAJAmJ4trIEUTon9A8pDO9DzLhTMcqACtaYUjusk2yKMcy4R86TiISUMIMzxWj6JdXzpuBpRWmKdzbIoNlFOScqm1FimBsw7rdC2GmX7qUSYlpolbEr8Sc+Ah4zvsdbrGaEe0U8vVVkA5VKADhuCMNUbDh9VvIDzr108w/J8JBzJvG05zqr6SZLF1sUY3kLU9i2cM1DEjdvUO7UijlQ+QSEN26SGezTqRjsSnEAcxHByWxVKmoRaUE2RRxv/2Uowf2gOqoWLDFBJp1Y2UtRQoJJpdTEqWfHMfAZxGNMp57fI8nfOQDEPs673ECPttUaADZIpUIwfGFPe2x7k744ubL0qT6BzNxz4wIw1T+X5HRwMiAMziGde7OkIb0kCtwDjvXvfy+mtNP8I4jShTMpE70wnizxeLeZRj3+5RhAXqiKx1j4rsTY9jw2j7Q3/AKl7hPJ7RdR3DLEIrpmk/Vc/CDJ3tkLgEj80jLg+TeCniIIaBkfU9NDdUbd8iVmTSKyi0LV37venxdH6CAQv4LCZj/dCxkKp7TvOSMMEKnNhN44Q8zFGkhaBAvdxFQeGxeZTkXV98KEPDppkM3rXvsC7WcIMTZjUCbnc2xYbN6DjKNu7QHrhJtL1MT+OQqbvjNDLp77IZKsMSScTiHg5IokS0yoEig34yNJ7782K0nHT6gcS3Ng69oWG9c5yuQhEzmYUZp3NjDT1QetFNHCgorVAMxaeawC9/8ctYvVzh/fm9TNPiMIZyCmmc4vt/zffjj/+FP47/+D/4j/Ef/uh/+A9yBX7Hvn783/5x/Pi//eP4F/7X/wJ+4//xN2Kyk0z+fPJtHHLzsEyWggLe13vJxOiDnltLhNg3exgYRLhMuZ1F7/gMWmPR6Q6H6cAsjZySrHW+RqISLPKFIH+bscEqXZF8NlSScpyGKYNqBoV9R6RqEASkd0WUfTjHQDt/FirHnAgfIpSFnBBraGir8b56L7kL3zq0qlWNdbQWqkekuMVdXC1wf77HtttCKYUsyfBi9oJkqf6E6qkC1pCE3CzKpJD1+OHe9oLx816KKIhE5+6Mk0wPL9eIdCQUm2ZqkNtcmgIoYFtv0dlONpoe6bjO1+hN/ynjo/91FFK3300d/WwX3X4WZfj88vPiBVBaIdEJ5sn8ubkI+f36wdE4jojSSwiR1gQ59EwZ9XkHvnl4aB6Q6AR5nuPYHbFrdyijEkVakDjV7rHMLmfaxQPn4QFezeAlT3EYU/oXxYKe7CYOBj45fMLhUzoT5LTPioCDkH6MI7wgTVKUKHFumTbcj2T6T2Z63uCPlOhMdhL6TTM2EljlIQNFyQHDY/MIOIjHyYc2HrqDIB7Xyfp5c9wfKF0ZvkMc8qqq8NWvfhW/9bf+1r/n70mSBEmS/B3/PFIRAtBIEAcxltlShP93BaeC39qtO+eY6tifGTF96cKc4yTcp54t86W4d53jxWDBgrKICtzMboj7ubygacjiPgtpXlxlK2q7Lqa5wQyi5YqjGK/SV6KF7cZOkuiagXizuq+lkI9DMkcjFXGCq8mGPfbUvaZRil2zQxbwwY8jHqC3BQODtg1TTD2DOFIRgwViNh8+7Mizz72RDICY7x6rR7KXjQE0sK24fp4lM1hjcZgOsvbqpg69ZYFkwOmWttShdjGTtD5afoT8nFN+059QjZVEN2dhJkbHVbESXfM3j9+Uv2MWz7Btt0RoJSUiFQn33adOOutEI/vm/EZIHef2jMEOxHI5iwkTts0W9VgjT3JZ8znrMDm+l36D0vSNoP48R3Xf7pmsmgx0dwcxDSaakyAHxwmPZrGrHCcw1lphTedxLnIq3yCWMTnV22ZL1qsDdMCVXBHzEL4pb6CgsO22WBdrTNMkeMx1thaqgkw/Lkl1fj16f77H+/o99fyXbdAiIafZH1pFTESaj2YPAyaP5THTDyMVMWBiHJCkl4n/RdcdhiEwcGqehqkYo4qYxc9hOEjzVwQFbme3bASdk0AhXyR7ydUsmTGR0xlJmvS69ffn92iGBkVSYN/vEQ0RWseVr5iOLiixLKEPQCuNV4tXUE5JkZ9HOT5cfohlvsRT/QQzkdQACxQR02y1YpKfDjSmfkKoGEK0b/Y4B9y8fG33NRKRLpOt+/M9yuiSoukGmtsu/gsNjfvqnpxbgPQVR5NPP/ZShF4X14AFjgNZ0f5S8OfGOF3i0Is5lGNR7ZNoreO63rPcT/1JKAhxSEOSb9KTIIGKGFhxHCinW2ZLTkHtyKTai/xNAsCGXi4frTRgGagUBAENvfZ5g6agcJPfMAWy2bF4SNf0ulwSG0fDSWikI7w5vZFURZ8zoDQlAKfhJEi6UJN+ERqehZ3pZFORqARxTM1+GIRQlmFe3lT+av5KiBSTob52mAZUE0Og/EYvD0mjunp5hX/uf/PP4df9z34dtp9s8bN/82fx43/4x/9BrsPvyNef/mN/GtVY4bf/3t+OZEygQ42H6oG0nv6Eu/JOCsx+6OEibhBXOTdB9809tGET/nL+EvN4jsFS+mKthbMON+WNZE846+jzyuZMTMxz0YhXffW8oZwuW5vA4FxT991OLequRms5wJlnc9zmt3hsHnFf3UM5havsCpGOECFCY7nNrAdKLVcZC/33p/c4jAf0rmfxr1n8+6L0UJOGtLpeSUx9GqaYJ3MmI8dzvFq8Irmj2zOMSNE4+FQ/4UbfCJVkFs/g4Ogv6TgUuR/umVRpJsE0ZmFGw3NzEDP7ZCfMkzllsZdJry/8+pF3sKeP6ECLvCyPKUcJg1ASS63jRH6ezNFErDXGiZNen1niv9+XVy+FQiZcbEUJhgUlPz547dzzTvVbCoAyjla3lOvqAo1jRgdAXGURFhxQtnvAAOWsRBIkGKYBr4+veRYHoMZ+CsXf5UOHRsMCtxv5TKYBlRK+pvNo31kyk8+SeNa0xjJeojOUKMch647BDlinazRjg/vqHvVIrvoiXWCW8XU+d2eRQI6W5/MsnslGYpYwMdajaV/MXggKe5YQSFH3NdbJWoZigQ7wMiHCdlttsetJzvusX99WQf67f/fvxm/4Db8BH3/8Md6+fYvf9/t+H4IgwA/+4A9+23/xtt2i0Q0W8QKDHXBsSN9IwxRpnEJ3WrB7oxmhtKJmKYzFeOknqJ6xmoc5Pl5+/IzLu7xofsLWTz2KoJBExziMOcm5aM3rgWjFWTLj1Gcits9/gCJE8qE+94zU3jZbREEkcanVUGFwXEvN0hkO9QHH4SjylEW6wHV4jWqssKt2MM7gzfkNbotbFjhpgaviingqHeL+fI84jMmjDTnNn6ZJZB1+jeabk31Ho8g6X2OZslOdBvKWAx3gg/kH/L7bLazigdsbFq3eKb4slgBoushiFqZZnOFUnVCEBdblWpzG0cikxDIqxWg5S2Z4rB5RpqWsrbOIk9U0ImZrtEz18vrHPCDDGY6SGS+vsc6STd3XGBUv+WZqkE5c1ZVxiSzO8PrAg+B2dos04L+rB8qDAMoH9u2eUg2QcLPO+BoNlmuqylZ4tXiFq+KKl02UYxbNUI81Pmk/YShUkFKzHGU4dScG/Vh+PgNHvZ4PamoH6s7jMMY4EKlpO4vABmzixkbMkZtiw87fGUE7+fjmIAjkcKiGCu9PnPz5laRPygx1iEN7QBiEUvj6BmRdrDlpvUwSu6kT+Y5P4hwMpz1plMIMpJUc2gPO4xkKCpGKgABoJiZsvly8ZOrqZXPhg6Z8kxCqUJpjAMLU9nrlXbvDaEe8Pb3FZPiZHcYBTjs0hgSlxtKN7y8mFdDUamJOSPz0qhkbJuhFJZqpwXk4Y5EscLCUinmWd5mUWOUrSQbM59zGnfoTspgr21N3kiTDb70k/TlgnEESENHXjR0jmu0g0q9ZOMM4juhcJzKt3OQYBlJ8Pld8TvwMAAO9qrhC2ITQWiNWMfqwRxzEuC1vsck2aEyDWTATL0Q3dkiDlNI0UJ9qYNAPvURNl1EJl1Ozm4SJTP6VU4JRBYAyKtEOrZiaq4Hx456C4A7uU8EevhE7D2c0AzdYESJMKf0qVllZQZ86Nu3zZC7c9iwisSmPcjx1T0znS+bCFreWcgOfSGoqPhObdIO7+R221VbIFmmY4qF6oNb4widuTCM5BR6duMyXUri0rkUQBtCDxpe++0sov6fE+m79j2VBDgB//k/+eby6eYUv/LIvICkSLF7wZ85CMqvjkLjM2tTYhBviJi/0kDzIkac5boobDn2iCIENOEl0hBoUcYHEJAhnPEtUQBKZn3waZ0SilUc5B0iOxfGu26EaKwRBgLmawxiDw/mAY3uU5GPrLA79Aa9mr1BPZGKHYYilXuKT/Seop5qMb5Bbn0c5HuoHvJi9QB7kuK/vMZgBt+WtJDbWY42H84NI35ziptMPCnrTo+pocPaFYB5ww7YuKOGLdCTGUwUlIUNvq7cYRlJIVikpNPfVPazh0O8wHNCNHV4sXogeezA0JidBQsrI1ODU0k9XpiWHNhfp67E78nzXEeIiRjtxyzpMAw72wBwKc8E0uxwuZKFaxiW3FuEFDxznGCYOD9qxJTDhMqX34AYvU+ttL4WkD23zzZnfZpVxiXW6pvyvIrYyS9nUq4BSk8ExJdufVXEQ48k84dSdMM/mUmB7Ys91TuTjaEekSIVmMotnDHF0TiSiAbhRUUrRa3WRtfa2h7IKURhhHswFiGCtlSFBpPm9lAlrEi/H7XXPDfjlPfIDPJ/tMhrKWlKd4ogj5hkbLFTcLnRTh971DByKQsRDLLXgZ/n6tgry169f4wd/8Aex3W5xfX2NX/WrfhX+yl/5K7i+vv62/2KPbPJR51uzlXWQcnxTfFIZwALCa2M9PsdH+GZhRrezm1g4hJTD+IfJc5570yOJEwkFWmdrQcV5w4bvND2wXoHJkFEY4dAeyP4MU0pOYhbg3cTwE6ss0pgTyW2zxWk4IdEJqq5igl1aCPFhnXLdd+hIL3kxf4FX81fCWg91KF2Zx+1Y0EU/OTJN05CYsyzMhK8Z6EDcy95JPotnnAiCU6jRjtBa49yfcVVcyQc4SAIx2mloLJIFjOMFLR/sIIIaKBnIE/LZAzC8IdTP5IN6JCLNU1/qgXrUZbJElmafKiySIIFRhlKggHHw9VBL+EKgufZcJAtECR8sL3F6a99icmyiGt0g1eSVP1VPGOzAqe+F4e0xgN1E7fyL2QvhWL+d3qJMSlnR+cCHyfIzdZ1eI09yYT3XQ82C8lKkrdM1bhY3eH9+L1zTdmpFy+Y108M0iBEODvhw8SFezV8hCAKSXxQnfz7MyMuQkjBhMbHjZsU6K9iuq/wK83SOc8fpbmhDjHoUycmxPzLhNqaR9dDxQnSKkcT91KOICzEJ+kbn3J9hnaX+1AxYF2t6GJIZXs5eoohp/nLO4c35DRbJAp9bfw6zmL6MwQ7AAGHj++2NViz2/KSliAqkGWO4PZrSN1J3xZ3o9FTE9EY/2fBG7SEaMJsY/+zZxQEClAVRga8PrwWbucqpy/dN4a7Z4V31DiFCzCZKaB7qB2o2FcOvQhUi1SlcQKylgiL2K9Cw/bP84tgdsSnJdD/1J4w9n7N5NKccr2dKbBqkwhyuhxqbcoON26CMSpm6JzpBXuSIogh5mCOzNHROZhIjNED+uj8jfCZBN3XY9TsawC46y0DRTOppTJOdMJlJDKFZxCnn5Ca4kTSZOKChNQmJk4zCiIhZzfPbWSchaBMm3Aa3sAHJHs1I/fFj/ShMd+sspnGi+c9cchp0QrzlBT3aDdzEXZfXjOc2I58NR7P8U0XJzybboB85/TsNJ9Q9C7lFvEAapth2W+EMl0mJp/YJRUhDaAAWnEFI+kYWZrhd337qfvotv/234E/9Oz9/Msv5H/Lv+3a/fvT/8qPyv//o/+OP4stf/LIEnbw/v8eu3yHTGdKAfoZIR5jFM+yxZ2ZDyIFWMzUsQIIU1xnpJXezOylah2nAvtuLNyaPc5F6BSrAIlmgjEs8No+YJkbPL3OSKxQUszYs8I3jN1iQXjZX63Qt03U/Ub0r73A7u8XPPP0M0iBlGmJA+dFNeUNJoqE2/OPVx5IIfeyOcDHN8p7a4iyHC73tsdEb1D2L2lATr+gUt6rWWTxUD7gr76Qw9SGDRnPLvEyW2Bt+Zrfdlqz2kLKQfiKmuLa1oJX9sGyWzCjTqPfcGIytGGGzOBM++1PD0CylFIdvYUjtuaHEK4szrAJuis7dWShbeZyTWHPB8PpmyQfgQEFClY72CIBNR6TpKfImcu+vCnSAqq+wmW/EgO2f00AFWGdr3JQ3xEz35JSXcUnVwWVT5rdiADnqxpjnn+2y7T10BzbhF+/MODHXBRqYpTPJmpksN+LGkinuLv/n655hGpgCfMHQBkGAbbvFsT/yXukq5pFYylezkgFF3lc3TqNAKgJNz5wxDCk7j7xbfaaJgkIWZ/J6t2OLc3dGGqUo3D8iDvmf/tN/+jP/Rf/Nr3nGbvkr269gVazwsnhJve9IfnYzNfh48TE2Gckj9UDIf6qJLzJg3Hmo6PQeJ6LdPL7Lc4Mnw8nosT8iVoxRHSbihbqpw627FRB+qENGEAcxJ8uXhDOtNZ6qJzy1TxI9641/zjkc2yOGmEW11zW1XYtzfaY+OVAiO3HOcd1tqBWPwgi7ZodVwtVbPdbYN3saHPwH1/BDm8UZV2iOqDa/FvYBBwAYE2sZZFA4yiN8Meg1pKUuRW/7eH4U3vbYc9XuJ1NlTOrKuTtz9XPhnXt5gI+VV1pJcqCnwniU0bbZPrvUEUowyWk4AYZ6NqUV7k/3WKdrkSZ4HrznzocqxK7bYRZxreQvh1jHNK2EXFfvuz3CMeSKsa/YWTtqWYOAhabuabZ8fXgt0fBlVMpr2E4t1tlaLoF6qLEqiLc79SdKCfoKPrY+DmLRefvO+qF6QBkR7XkauPJPQjZng2Un/mLxQqa2Xgcd6lB0xACE6QxAmot1thZD7jpbk5yhA/QBdb8+ibEaSCLwTPZTx+/jk8Mn1JDrFO3ESVgSJjj3xG8646hxjjK8nNM0duyOiEJ+LrqBjPB6qKG0QowYNrw0o84CikX4sT+i6isp8NupFb+HT2szMLgtb5mQGc6RJzm6hDo94xga4l+PWTKTRM1Td0JlKjG0zeM50jBleAQCvFy8RBJSxrEu1nT5O5DmcvGf+LCxJGB4RjVWaPpGNIpaM9hoMtQcNobm6MlNYhw1YPhJrnMadC9BVwECTq+tRTu1CEd+Prupw+vz62ep3CXwZzIT8jSHsuTBH3uuR6dpQpIyoW+ZPlMTEPHZ8cQWb4AdJhrVRjuSXhQVglbNoxxBFDDkbOpkwuTpOgCEduI9BsfuyC2SIc/X60v7oMcsnKEIC5zHM/+7y79vpxbDSIlDGPCS9+Z135Su8zUez48skHWAc3tGmZQY1CCs4SAgijXWsTCOd81Ogp36iIxkT4LwKDMf3uHxkP48qcea76nSNHldTHjn4YwPv/Ah/vxf/vNo6gZRGmH1coV/5p/9Z/DX/vO/hh/713/sv/U++zkw9OezJHX+w/76L3/qv0SBAmEc4uqjKwaRqQhlWAIKlOcp+ns8j9s1DmERItbPIXweTqDARjgy3KrkUY7acfPj04vbkYm3V8UVX/M+wdf3X0czNojss95ZQyNLmB9gDaftRVLI+fP+9J7652oryaI3+Q2KlKQzowzW6RrzmCmQj+0jbme38h77M7k3PcqsxLEn27zMSvLU64ZhSxOHROM0CsYw1GxKrLV4V71DEiS4Lq8Rgs2jhDKZAUVaIFb0Vuy7PWYpw//6kfKKXbsjBcqO+HD5IVbpShLAVaBQKm4WI8Uk7e15C2hOXefJnKZ5BVRThVkwk6JPOYVFthBwRRowJEd8EqAMt5s6+s56GhVn6UxqADhIsW00gRnWWZLFolhSVQGCLYZpkIyBWTqDabkh9MORMi4ZqKcU5tEcecSz8NydReo02YkbFJUjVExE9aoEKCoR8u4y8FIMS/zWpiJQgSSpZlGGeTznvWYpJ+oM8z/85k5rLRkG99W9DCo8ItobP7XTMljquo7bt3nEpOELTlQADpfwul27wzyaE7EZMxU5A2XHhSpgx39ElJV/mF9JkGAVrdjBXMgo3gGLAAw7uBzkgaZB0680up4X9jJl8pUkwV2kJ03PNKmr8kom0FlMTe5kiEicLHnmzjmZhgPswnbtDrtmB4+H8+vceTLngWZp8tw2Wzw0DyzcJ2KCTMiO1IdrKK1QhFx1+QPDR0OHKhQA/6Qmcfl6UsS5O0vAj2d6a2gcBjI+q6Hi6nYagJBrNY/xW8ZLjJahLz68xJtVE52IlMEHA3ijZKQZpBCHMbY1u0vPPh7tyC46irCO1wgcL8kiKRC4QIISkjARyUIcxNLweFTkeThDO4005uT03DMUKgxC0VlP6QQVKDzVT3hsHlFE1Cq3U4tDRTPNIlsI0q6dWiGNlGlJ1/RIgos/8Mu4xDhx+7DOuHqzloX0MuVKux5qOWjOw5kM84tLX03UvTVDg9NAV/wyJQc2jVIcG0oXriISBDzftLUt7GDx7vSOBWlInnYZEgt5Hti4eeqIl5oAF0qJD0u6yHtUoFBlFequpqnZEZl16ojgaqeWPPnLz9xPPfbdHufhLCEN3mMwjAO6gVq+ZmroH5gMC01LXd86ZXMyOjbMXhoRp+TO4hKFvclIyfHSr22zRTd2YqgbMEiwSahDIQA1UyO638xmEvgUqUgIJ3mci0HYT5LyOJdgh3ZsYc9WUGH+3Chj+k+emidKqc6Pgs9sJ66vi/BCYpj487YTjT+zeMYzxUwizehdLwFfp+FEs1mcie/i9ek1PQ1hjlzncNpJ4+5Xu8YYpGn6nMbqHDpDk9gm3vAZCAuZhrdTK8W4sQaP50fUSc31qQ6RJZQm9GMvbOOb8gY6uASXRakMOXy4URqm8mcqEDm7aymhCcEtVTu2EkRiFS+kPMqxTJcyGdp2WyyjJR7OD3h/fo91sUYWktzgzXleq+6ckyCu7YkFyHV+zWwIR0OV0zQ6+yltXjDdsbUtt41BJUl4GprM8pxm9TIqUZkKqWKmg0dUhoqSBR+i5ukg3kh66k6wg8XLj18KJtc4g1/xP/gV+GXf88vwA7/2B3A6nfD+q+/x+37X7/t73mn/KIrtn8/Xj/3rP4YfA5uIH/1PfxTLmyUW2YLb4Euz6ZvENErhBifSsdHSx1AkBVYxfUB+6uu3sFmY0Rty8bQ0EwufKOBdFAY0HY5mxPvze6RxijIsn5/JoKQkFGDAyiU5dnD8rE3TBKcd3lfv6SlSDnM3xyxjuzMmI+q2xnE4QlmFRbSA1d9CaxlbJIowBGiIV+26uJb733PRDQwWCe+RIqJxGpfE3CiKMItmeFe9Y8pkzJ9/nszx2DzC6OdmxReeSim8XL5kbPtIU6ufFg+GgywN5i3AEuc52AGfHD8hJjKd8/NsJyGUNH2Dh/4BWZThaXySu1tMmjoS8+S+3YuUz1gDqGfz/CJdELE7dTAjC+l6rHGX3HEb3zOJO49prgxVKLr7Q0eAQBZzU2ecoWTOTsJ+j3QkBtfRjkK485s2X1h7gITHTBr3DA841AwG8mS8YeI0299z/g6Ues0xl0BDY5bO5PMKsOl4rB7RmU42Q/3YQ8UcelR9xY1lyLP/qrwiqGDqBafq/VmhDiXfAgC391GEqaNXbXKUXLZjSxn1Z/z6jhXkx/aIKZ7wwfwDmpnsSNajonY3y5mI5A9Hz6r2HXCoQoRhKBHcfmr9zeM35fCFA7VsQSR6Jqso+Zinc7jO4bF6pNxC8RDZt3uce/IuV+kKzcQgmNGNuMquZDI79iML9bHFi+wF4ohYsUrROKiVRqqZzudDPrqpwzJbokSJEaNMkNzksK23KOJCuvU04s/7viK6Tyt2fHlMY1I91sINfsKTMDuP/RHrbP2MVQwCAd17ukisY/S2FxKGRzGlQUqjm51gRkNtrBkQGXas39ote8extRYfzD/AMl1i22y55rnA/H1gShImsqrMwky0WgpEKl1lV3g1eyXT1XN/xiyj3nSZLOVn0uDPt3d7FGkhKV3dyNjoWMc4q7Ng1gIEoll+sXghBIh5QL3qeTjDwGCtiGTUmgSHXbvDtqZBw6ckRgEJAvVQU599ScibpQyu6kcakNuxFe0aABRJgdk0g3aX+HPNyVQQBCKR8YVPqihD8Mxwr5/3wVD+InWORcvgBmzrrRRqTpF84skp/nCuxxq7eofzcBYCRjPyUIxVjEENQjfqBjZ03dQJdabquSVop5ZSBeWwyTf4/OrziMNYjJ9+deoj5ouoQBFRlnEcjgzjyji5PLmTUGBGO+KxesS5Y8MQqcsFczEs+QIyDmLiQzsm6npJzrk/y/9OAzby1lk81U8y+ZrshK9tv4Zq5Ot6X98DDkRd2o6R0clCLpFu7Lg50AzlUaGCHSzJR5dCxMGxiQ0o5ZhHDNFKAmo4i6RAAK67wyD8VFFaRiVTWf3PrCNsso1s3IIwQBiGMKMRWsSxP1KXHyUyBZMQlIlmqN5SQ+7pGAhJUIoCou/8VNib3wFu0FbpClVfUauaUt+/bbcSZz4MNH7N4hmW+RLzZI5tu8Wu3lGvHFB/X3UVzuosK/AiIhPfG1uHiQ3gY/+Iu+KOgwud4Kq4wr7eU2boWFTNoznSlIOETLGATjWLDeccEaKXaOtAUTZ3Pp+hk29J5psmTmnDCDf5DXyKa+J4xmrN9Mtdt2NScURPSgjqWKuxws1HN/gw+BBf+t4v4Y9/7x/Hm597g//ir/4X+HN/4s99p67Pn/fX49ce8cu/8MuF5GQsY+h1oBGOIdTEZuw6v5bY+CImoakZGqzylcSI+4FBb3uRQmmlcVvcSnF37C9+ChVhk284bb9IQay1JG8p0keO3ZFBLLA4NoQXKPCs80ndeZKjDEsi9KaW6cITN8Pt1OKheZDNmYPDoSHH/uXiJXXtZkJnO+zqHYq4wKvFK+zbPX0lahKSizfOp1GKAMy4wCWp26ddtmMrlC6vY49cxOm9mXCyJ9yWt5Sp5XOUtpRgrACBSL18MmXTNpLDsik3eGqecO453Q3VZVrvrAxBiqgQv4svwLXS2I97wUxGARnnXprmB5L+NTXGPEtaL3XKaTiJD85LzZxy8lwhAuIpFrntIl1Aa41Te6Im2xhkccasiUsA2WS5kfbEt3dH4ml7Q/SwD9t7bB9hLQ3v/djjG9U3YCZuTZfpEnmcC0FIKSZwl3GJeTqHAmUv3hsSaW7nvEn31J3w1JIzvzM7IcgEILjAs+W94Ragz0k5JcZ7L4u0IBUmjVKsHM9K5RTqqcZ5OEvq8VV+hb3af+bn9TtWkI92JHs7SCQV67q8loKvmfhhhQKui2uiBC+Rz17T2A4tPwwRi9E4iiWyvTY1L4gLeikIGKkbKnaXk6MMwjiDhzPTx/KYmmhB3l3ILmVSyhs9T6kJS6JEvs84oQzDa7Y9T3l01IIWYSGT4mNPk2g/9Zgnc+qfoxkiHTEYREcyRffR7loRoZhE1KnpgEVPMzSYp8QZWWvRGqL8Is0V4WAHdrft4ZmtqhVRbZfXpogKwSkZazjdDCdOKayTn6uIC5mU31f3MNaIFGKVroghvKzyPenBR74PhtqzKIwkLTIPczGpeo38aWDiZju2EtfbjZ3o0rI4w77dC0/XBx9NjtKiZqQRLw4oYzm2RwxuwFV8hauUkeljOIqOz3fsSnE6c66YFOc/R93Y0VwynqEGvid5nLNYNha1qREPsWD14iDGPJ3zQABX40lA+U4/0TykoEiKSTeCeIzDWA7NyU7SYfuJlE819Q3Q5LhO9hQdTxCqx1oc9P6Q8VuDwQ7UJl8mWVVfEfEUF8Kgf6we5RJWSmF0I755+CYvFEXDXBRGqLoKHZ4Z9kmUyDPjGffevKvAQy+LMjw1T2SBX+KdO9PJZKnqK+zaHT5WH+MqvYJxBk/HJ9yWt4DiJM0zbLOQ68FVuqIe0h1xHI7Igxy97lFEBfKEZIluJI6yiAscOq4bAwRiChwMfQZpwO83DmOs9ApnfUYY0Adw7s+ijT20B8QRtzhZkKF39Gq8KF+QVhPSD7FIaKzL45wyGE1W76k9kZUcxDCGU7jREN22SBfC16/7GlmYYbVaiX50MhOstngxf8HC+XLBee/BaLjBAril8Bf7MA04d2ecBsqtbme3kn7sfTNFXOBudieGq1CH2GQbxnFbgzAkEtWnClZDJbkKkea5OtoR5+qMQQ1o+xbX2bU0aw4OT9UTm72hY5E/DrABTaCTncRHUiaUyqmQBdoiXWCTb7BrdmhPrci1Ek1SkAuJcKuGioFrUY7JcMLoTYVJmACGZ+IHyw8kedGv/cMglMFJGlKqtm0ZXObP2Kmf8PKjl1i/WqP4RcU/FgX5frsXzrxyigWXaWAGI5KCZbpEFmVShBpHQ7dxJLUs06V4qbKIGw8hpF1wg/6+eqqfMJqR20h3SZYdWgxqgDIKTdcACe8hrehTOvQHoaclYcIhi6UsLg5jTAGlDWnITWVveQaUrkQb8a4AIJvkOOTmctfuBKk8Wd4RPqwmizLMQyYqp3GKLOBGLlD0F2QhG8yHipSsOCAuFoDcS4EK8NA+YGbo8bkqrsT4n0c5jYuXjUFnOpE9+LtqNKMkcTvjsEk3aMZGoARhQN7+as4CUAf0d/lhmIJiBoUdcX++xy7e4Retf5EMcXDJUpmGSWqIh/aBQ4OQxm8/pFpna4FhfHL4hO+roh/MOSfFOEBJZx7k2Ls9DeDQMJ1BYxsoozCYQfDHAAdMZVriqX7CsaG3L4kYardIFvj67ut4vX8tGvjJ0V/47vwOyinkCRHRL2YvhDjjzyhP8qqGCoEN5I4c7YjJTMKxj0N6vypV0VjcHaCg0E4tNvlGzigvQW2HlmGJSSmhcRqaAViXDITWcJN67s+sZ2KaU/+xlKy0Y4shJDrMrzCO3ZHShSREhowXMRgfHZtYGKme6AANzCOyk4/dEafuJLqjyU0SVZ9ECQITQFuN3vbQkxYzmud9+rWqRw9qpQWXmAQJNvmGRfAFn5cH1GOe+zPOHd+QUIXYDwT6R4oTiVnG7t0z0RfJAt/cfxNxxMPDF2TWUOYyjuwuF+mCne5lAjjYAW5yIivIwxyLZCF6uafmiUWLpdEpCzLcze/E/PetH+Bjc8RpOKFIGGrkCzVPnjHWwGpqgn0IgtJKDpEiZvABHLDJN0Q4htQPL9KFMEfHbhQjSTiFMuVPogTLnJeA78i9USQLqC1WUBLTfJ1f03A08PDShusmv0by5hc/GfXxzXEUYxommkjDCOEYMgZ4aHAez6KT9ivyh+YBYRjiS/mXoJyCiY2kMvqmQUKdRpr4+rFHGZe4Lq/5II8t3p/fs0C1IwITSIE8j3nYTIZsaa21eCZ8g9aMjZgeAUhUeDVQfpOGKaccA6ccHlXZjq1Eko92lKTUfbdH1XKV6ouwLOTEeZgGTG5CpCKchzMeq0esZ2vMohk60+Hd4R0GDPj8+vPIw1z01p5qsm/3+Nzqc7KqHtwAp5zgPhV4OHvJhOdm3+Q3lHBZShWaoUFvGVt87s4s7gyRXt3UUavuGODguf2LdEHpw8WseZVdUWOpaDhuam6a4pBorzRKRa4QhzHymPi7bupIiXHcCC0TSpeaqaGeMbqYuS/m3iSg3rIfezblE7cMq3QFnWl88/hNYS+vUk4XZ7MZFBTJSvUOYfhsnlolKwQIsMgWMg27Lq6xSBeo+xq3xe2n9KsKSppaPyE69kcixi6fs3qoqU0dGxyCA97pdwyECnlu5CEvym1zMT5eyCnd1OHN8Q2napaacWMNgiDAd62+i+vjkJHnp4oJtDfZDfbDHrGmdKnQBbTRaFyDp/YJ64w5ErNohsEOlNv1Zza76QybaAMzERN3O7vFu+M7mdg568SAmAQseBbJAq2h3CGPc1wX19i1O4a0jL3IcLbtFu+O7+Szl4ekOBkYGe74Z8VLHvM4xzyeS8N46k64yq+QxMRt9par+XN/xnw5x1/4yl+QLcNf/kt/Gf/q/+pf/Q7cpH//r+trGjMnPbHgBuPPh3HAtt9iFs2gcqYfPjaP3KgNtWi027HFGWecuhN2ww6vylfcYEwtrvIrZFGGXbsTfnQ91vRRXIx+PsEyU6R1bZut5HCojN6lEqUMx7ymO49ykVvumz10oPGyeIkyKjmMmCaUCWUww5Fb6zIqZaP6yeETMcT7z/LkeEdUYyUywEhTR2wcG8RDf0CiEwRRABdwm5gEiQx+fA6G0gq3xS2ccTCKhmdoSnHziJ6e0YxYZSts0g0HXhet/ak/ifziKr9CP/VEKVotUsUyKlFP39KEmB77fg+llOQrHLqDhM8FARuJp/pJEjyts+iHHrtuR4rdZePnJUfVWAnqtJ+eN2u96eFArPEiW8g2sjIclllYgUq0E8ktp+4kklgfluhzJISPr+irWWQLTJbm7nk4xzba4rF+xCaiXC/MQpHWPDQPyFpKFlfZCm9Pb4kkvgycfBZIHuV4rB/ZYF9w0ofhIF4lnxgaKvrLIs1GzA+QvM8i1eTlhyqE005ocD6VeDADzuMZoQ6xilYowoLDQadRDaw33+7efubn9TtWkPuH4dAc0Ex0s35gP8CL2QvhQG6Sjeij/BvtQ3BmyQyP9aN88Lxgf5FwCg0ATjmZ0HZTJzrudcYkQJ+m6d+wWBFzM9pRJmha8UG+EMLI3e7OSLOUmJswRtMQs3a2l0SnOBGX8jJd4qq4YnfYHskG7o9Ya2qY1zn/vwlIlQhD0lWKiFHyzjlGh4+Anagb899jHuc4dAfsmz0UFD5YfkCc1NCgdjVeH15jns7JkZ0GmYB6bf48njPu+pKQFaoQCLhWs4680s52aLoG3UhijTdPxSFNiJOdMNhB4ugBSPTyB8sP0A0do+VDamY9gi0JE9leNFMjZsRIUXagtRadbzVW1C2PvSR4DcOAKI+wLtYML9JErT3UD6TaxDSAKKdwaA7INF3iAA0k1lpSb6xFnlCL7IN3/EZBHOojQymC7HKAX6Qt1pKF7gNhPLLwumQDMToagLz5dgI3D8M04BgeeXkFRG8mUSIhVdclqUXe9OKlRbN4hnaiRm1bbXEez6i6ShIPQx1yKpXkUrgfWpqTZ8kMUcYi0DOZ4yjGU/2EaZwwqQmrfIXr9BpZnOFcUUrhE9oCXLZMYYTr4pprx8v01FqLeqqJ+AMDmcIwlOY4CRLRdmdBJlzhRbigudp0uClukAQJnponSruSpUzuvWHMOYcQoQRQjHbEoT8g0pFQlxQUyrjE++o9nHWwwSWM5tKY3s1JWLGW8qhZOmNB19dQRslG4jq/xizmv4tCSt58HHMckJEdqICbHx0R1xoyUe8qvxJdtNeNQjGP4MXsBV7OXhL5d2mi5+kcy3SJaqg+NdF7j/dknnscZUDDuDe5OzjKUgyoab0Yv0YzwkZEkHX9BVeWrUld0VzHr7IVnGOBFOkINrHS+C9SBp8YY7AfaTC/zq8xy2acMLoAB0cywnk8M7yoYBESqlBMg0/NEyUoPXAeSFw6dzRvxjpGMzR4UbxAbak3hwbyJEdbsUlViu+Fx4j6Fbb31igoSqAuzH/fxD7Wj9hVO9kozhKanLupw4s5I733LYsbT0tKQxpgvYRMKQaWnYfzMz7VAueJ5tgkSkSep5XGr/kf/Rr8m3/830RzaBDPY/zSX/lL8W/8jn8DP/X//Klf4Jv0v+UrZvHsN88qYmOuA55hgaK579QS9Xk7I2bTD2YMDOqpJkFMP3t+WsNz6NiTKKW1lmbWv74WlLhEIe+bY3vEPJ8L4cXLihQYHe9Rs3mSywBJgUCEAAH9CunyGbEY5NgUG8oJe07+t91WwvterF7gqX5CN3a4Kq+4TeuOyIJMQmgmy/yHvucZ66fQ7+p3SHWKV8tXBA8M3Gw+VA8kfyQM+lrk9L5BA2VYilSkn1iAL9KFgAvggIf6QYZa9VCL3t6TxXy0vX89uqlD0zYi0/WN5PvTe/SW3HGf3REFESbHgMJFusAqWyGJEvRDj2/sv4GXK2Jq/SbdwxK8R8BLP47tUTwY3scyWkqH31Xv0IwNvlt/NwDq0+uxlq2UzyMxk4ENrdBUjt1RUtL9liKPcowTG4BFtkA9MuFYKcWwwcs/D1yAuq/x0w8/LV66uOP54M9fH57o67xzf6YccxzQKRrYJzMJ2EDQsWkq2EIVUIKSJZncN95/5SW9oaYKwpPfJnDAZmGRBTSbntLTZ35cv2MFuTdfeiNjgkSCUI4do0x9dzMYamWbvpF44CTgRLebmOrWDi1TnYZGoPxZxLCfwQxSFK5zpjeGjn/uVX4Fz1uONKkFngzhkXXepJYGKQ4DOc9OOwnYmK8Z3ex1rFEQYZ7MSeoIUxz6g+i5X81e4XZ2K8YO36mPlnQTa60wSQGyMbXSaIcWzdRg1s2ona8PcHB4e34ra8Vje4RxjP89DSecRyLq/PprkS3kItdOi6GsTEqcuhOZswF1r6MdkcQJducdjv0Rq2zFDykuWCrNcBVPZ1invPCroUI91kJ3GGOijLyR0q+G/PuuoaVYb8YG+36Ph/oB99W9OOz9at/rWf33EQRseLbxlrpCN2KdrWW11pteiCiTmUQ+oqG5gYgKmUZ+4/ANLDIaaN62b4kCu3z2Tt1JVrXrORPvzuYspj9v/pwllB7lUY5NvhHz0KmjTOPUnlBrusrPwxkxYrjUIdYxZgGxfe3UUud/mZpPlgSUZmowTjRVenlVFmUiJZmlM6yzNWVOl6h53whs8o2QWk7dSQy+aZDCGoswClEEBVSqcJVfCVbxvmIYzjAN6BULag2NLOZr+NA+ID4+hyj5aeEIJkxmUSayldHQI9JEjXgh6r7GoT8gDRgPrRUnRkVMGVU7XVBSAaksU8yD3Z8f4zQKqs1N1NWvkhXmKRu5Y3vEvt/zn7sVtNPCGK4GSikmw+e6BokLSinc5XeUKYAbOuccnfQX9NdoRhYIF0nDTX4DABJwlkbUHO6bveQVeNPPMufK0+v59+1eyAhpSP271poc8aTEMA4iR2ksPwM+va4zbHa7rpMI7TiKxby7TJeoQe1/EAbCx304cw0fBfw+jDUilVukJFbtxz2LXkUJ3q7Z4Sa4wbbeYnQjcYP9Ce3E9f6pP2EezxGERIzmUY5lviRXOiaO0BfZoWZA1b7Z46v7r9JfM5KSoLTC3fyORco0YNKTEBa8Vj4MQpS6FI/FB4sPON2bRtxX9yIr8mi8OKQZ2A8VqrEStFs3dkLxaaYGMzcTCZkvHB+qB4QBJ2uTm3Bb3GJyvNwf+gfMkzlMZfA9v+J7cBgOuMluME/n+AN/5A/gP/lz/wn+4O/6g7+wl+nf52uz2YhsLQkTdBP9Eh4/V0YMjWr6BkMz4NAehODRTqR6THbCw/lBTLI+aG5SpH8lQYJVvmJys783L5kSxhp0ilhgowyW0ZLhZWYSH0RoSf6obIV1seYG05xla22sQZZkaKeWkjMdQDstRj6X0qisG43r2TXzH4Yz2qGFR+M1w8XQHHK6uusJbVBQsIbNqzOOTYWlV2Tf79FviWKGArIgQ+c6ocU4OLyavxIZn1LqOf/hknzsDZ9epx6pCCfD5HFjjZj2y6SUprGMqct+ap5oRE5n3MhfTLEKCg/VA/G9oJm8nVoyzp2jxENz6Fn3NbqxQxbTk1cH1JH7Sb0PBzp2x09JEP3n25NZvEnUbzyOLRGvHq06y2ZYpAuGeEUJHuoH9E2Pq+IKgQrEwJkqEtJSTc+R9xf040XCGA1wlu/nLKQvoJkaTuuxEDmQ58orMC3ae3pm8Qyp4/b30B0QaFLJAOCxe+R5FWV4qugvWuUr5EGOESOSIBHsrpemNGODQ3vAoT3guryWYKF+omzp/niPQAd4sXhBT8UlEf2zfn3HCnJ/CSXBs1Pbv+GB4qTFm7Hqocbb41ukUUrJhooQhzHiKGbU8gV5M038b+fJXDoxAyPrIp8GeepPROhcGOQP9QPaoZUCokyI1hETm3NivFumSxRxIRO62+IW1+U16r4WzXsIupOviivKFvpA9NbWWVmh+eCXeUxzW6hCnCemmnkusF9V+7COJKTJ7Kl74msUhFimS8Q6xoRJzJT1WAumr4gLjNNIPWVHxnM91dj0G7xcvGQhGUSE96dzeB7su+M7bhnChKZQFYg5NtShaOJCHUoBM0s4RfPTZQWF6+JaVnGDGSTkIQ5ioT94KZKL+BpZZzFP5pxQ6gh3+R3ykCEuXj6iwAvas+dTxcLOKRY63Ugt7uhGylfMhG23hbUWd+Gd/J0P1QNj3c2IY38UtOOgBwn+qeqKLmxwva+gRD/rO2mPMFSOa0X/OqVhik2xwTAOaE2Lm9kNnOWFlwYp7uZ30NDCq911O2oUwwBpkEpB65tPv3q+P9+jHVpMiluKRCfIkgxZwoK5NS1ui1tqSC9BQHEQswmKUmyrLVGEk0VRciNTj7WYSMMwhAoZihDpCGVO3XI7kZ8bj7EURU5x25MEiVwyfjri16r+8NZaiw55X+/RmpaGurjEi9kLyjEunoc4isVP0vSNGGgmN0nUulLUt26yDX/2S+MQ6AC3CRNE8yQn5caRk+0NS/7C2SQbIGA2QRqlz4mvoF7/vr6Hixz6gRfH5Njon9oTL3FYuRQ9MtUpR162YazysTkiKvmzFXEhBaInBPkQm27in68VExQjMDq86RsYGJiW1KS6r3Fo+Lm1yuLl7CW3JAm1/AbPgU3JlAjr+Tyc8cnxE5RJiUSTb/9+eE/5wsU4tU7XUhAssyWqqYKqyZG21or8zWqLm/RGQpDSiOnBve0RVFzb3+a3MnDwsrpze+b3aAxq89wMlTFRoe3UYhbNMGHCvt6LfM9vK3yjEwURirCAmikSN/IFbme3z2SEC0N6nhCT5jnCiCjfKtOS8qMgkfcBgEzqPNs6CRK8mL+QUK4iYTPfH3vcn++xzJZEscULbIqNJAFff/7TGR1f/uVfRrEosCgW+It/7i/+gt+zeUmpjqcrGdAP0EwNlhm3t4Oh1MzLiw49JVp1zwnutt5i221xV94xq+DyuToOR3xu+TkJo0NBtOHb01saMuMccMChPUBr0i/CMsQc1G4vkoX4OIRdPzZS1HqJog98ChU11RJ/rhlEZ2CgnRawAyKgnmpJ8fZIRW8QByjbiYMYk5pkCqwVC00LkkbiMMa5Y7E6L+bMuAiYLD466uRvyhs2FilTu0/9SahTPjjmWzG2m2KDwXBb7c2PeZwjtKHkTxiwQU6DFFEcYR7NBdvXDA2b74vXIYgC5EEO15EYdK7OyPscXd6hDEtB2nrz+bk7C+rTWAMXULYLBTw1T1jna2Gn+4TkTbHBuT/joX7gZjkpJFQwCzP06AVY0EwNDt2BuTCG2R9plIrMSTvePWVUMt38gmmNNIef2mnokFtZvzU23SWIrVgKWAKO23oPh7DWciOuFBKXYMoYatWYBsPIJOTH+hGJZsqxDrmB91vcfmRA0Hk447q4FiWGsYbS3THBsT9+Sib47vQO54Go4LRJEYQkBmnoz/y8fscKcq05pcyiDLtmh3Gk3thPo87jWYrPd6d3OAwH3Ea3XAuF7FyquqLj9xJO4+ka3UQzXpqmIvl4Ub6QArjTHS8/GJz7MwJFPNoyX2Lf0On/udXnsIgWTGMEWciwEGOpJ4CkIXE6ZUyUkzeVKHBtNZiBB8oFlTiOdIcHAWUKvuCLAnLNH5oHoL+Ep0R0b/uAmTgg33qyk1xa7UhmdhIm0E7j0B9QaRotEpWgNS129Q77fs80Ox0IAug8UhvoL6F2bHHs6JKfx3Mmawac3DUDD8vIRIKGent+i+v8Wop4fwGmYSrdvy+826mVyGxnqf9RUCJXCkIC/Z1zeDl/CQNGbdc9Ifx5lKOLKBPY1TvclDdYZJQn+cIGDsIfr8eaU8aUfPEXxQtkcYaqq7DrdjCK3Ww1VMhDTtwfzg+obc0HynEikiUZ1nqN1+fXlEA4Kylonj6iFFeu/qBxILLLr+iMo1m2d0wx9cW4g8OhP6AcSmyyjWjtzuMZj2fSfzb5hhdKe8ZppEfi0DLu3sBgU2yElb7v9+htLxNzH71snRU2rGc110MtAUle7jKLyfg+dkdoaKzjNeqJQQqFLiTOOVAMvskjanjzOJdC3Dc51tGop8HX2OtT/crbm+l8AMSb0xv5nGitkUc0ZZ67s3D04zDGVXFFI6tlYz3P5miHZ+04HLcAu26HyUy4Kq7EJ1BEBRMtDadOcECPHut0jSFh87XMlmLGneyEeqzRGKYJNj23b+M4PjOuNfXFX99/Hd999d0ySTKW5IEo4ATrOr9GMzRiFk/DFC/nLyWTwOMV45D623bgM+/Z/4/VI6qxEtf/uT9jdCM+XHwo54rXVYZjCGfJkvemcH9ZVX1FLfhlC2KsQZEUz2l+l8uxjEuZXr2YvcA39t/AoT1gns2JA4upDU2QwGmH2FFD3o4cYkSaE9EoijgouUzorbM4Vkfc1/eIFHnAYRACCeQz1JueNIN8JQY6BSV0BgCSZrhIuJrX0GwaLlN+LzP0uuR5MifNp36UJneyE/qhx3k446l5QhIkeGffiSl+3+7RBjSGzpIZ7GCx7/ZifPaflXk6x3dvvhuBCrDv9owr7w6o+goff/5j/Mmf/JMwHYcN2W0mjPhf9z//dfir//lfRX2sYQKDx9eP+K/+8n/1D+V+/R0/9DvwG37jb0Bym2DfMDMgUBd8sErxav5KUKLdxKnvJqUP4dgf6cnREc7tWb5fvy3y1AtjDLW63QFDPEiT6SUOrSF+MAm5/a41N2LzZI7r8hpFXCCcQmHYXxVXAIAkStAZSlBXCTezSilJVA5CGiProUanOuRxLj4KT8bwU+95PEcapfxsjzxzR4zEgiqNd6d3NP0GCRn1lhvAeTZHN3Q44UIgCfi+1X3NoCSd4nZ2Kxt2gGeu1lr044/NI5bJEsW84LZ14jCqTEo2IhcyEq8uR2lklMm2eVNQOtSNHXbtTgZd707vUPUViqTAAvTSzJIZwpFDMp8uvkgWJNW5EbBA5zrEmhvNMi1x7s6kkMQaq3RFqouxzxLAiwxzW2/JVJ+oVY9AYtOxO6KPeszTuWwNszBD27cy/LHO0h93afD2wx6bcoNMZ6RZXaQgu5FqA79JSEPKVncN6TirYoVpYq6DcZdUaM0wtF27k/yTyU4SKrfMlshNjq83X8d5OCML6EuMdfzMVIfBY/UonPSFW2BKJzxVT5hlM9zkN6QDXYr2h+YBu3bHgYIzklPxUD8ACjjFJwzN8Jmf2+9YQT6LZ+zELOkbKuJEzBNT6pGs4Yf6AY8t094iTRfrMA0yid1VO3aYAbnGRVSwaLZkHi9Srt+WyVJWDffne5lgrrIVC5OLDnSV09HcDHw4hpHd2CJdiIZodCNlAxf8oHVWGJyhDlGExBNNlkaapm+w7/Y0EV2MDoUu8FA9IAso08nAzv2jxUdYp2s0U4NtvcW+2wuNowz5ILeGxYDX107JBIwQvFMcxJRMmA731T1OwYks2KQUYkXbtyjiAo/NI7Qj6xUOsnVwyj1r6adBAj+cJS/Y81WhOPX2mr9v/fKT5nqssWt21C6HPFzrrpZgocEOaJqGbvc4Qzd1nI5XO9HeTXZCYAKRDBjwMmgGTlR8NHpv2OmGYYjzSPyan5COZhT5ThZmMIbfc5EUaA4NXlevSYCJc5qNTYO+66mPD3NiD/ua07D0WabkX7M0JNUEis2GBp3tve1F5rNKV8jSDMEYINUp7pt7bOstFslCLsZ9Q7mAD3BRUJQfxTMedhcTNC4R9ct0CZc69GOPbb8Vf4DX6vsUyTxi4VyPNSeXs1sxxRzboxToRVygH6mPHJsRWZDhqrhCiBDVVMEGlqixlHppn5jriSleknNoDxK4tU7XEtftw556sPDqBmrIlVZizvJhWEmQUIpjBjg4IWPs+z23TDbEXXHHSchEaZqxhumWKc1A1jFa/jycse/2TPpsL/Kiy3o31ak0I7flrTQWk52QJznCLhRz4WhHee3TIsUsonRpnOgZgALuZneSVGedFZa6j4LOw1ykEZ4OVI81n/OoRDfws3DsjzjURJcFmghTn5NwU9xgWS75OTN7wW+GKkRluEJPIyYHn4aTIMe6kSZv5RQa1+A2vJUtTzd1eHd+h2W6RKTYeHuTl0eu6kAjtzlsZnFqTqimCiFoxD0ZFjCvlq+EANPYBpnNhBCRhAmKoMBT94RDd6Cs7rLWBhhu5hFuox0xz+YibzubszxLStOIfepOiGOSkbzZux5rdH0Hq6wY3401LHqCjMSc/oDH5hG7ZkcpXELs5yyb4YP5B4h1LHLD0dJQC1CaNE/IgO+nnhIuTczaONIEdupP8trffsAtlddVG2tw7I/4rn/yu/BLvv+XiMH32B3x+PoRX/3/fhU/9//7ORwOB/zUX/r5adB/y2/5LfhTf+o5WfR7/offgy9+6YtwzuG2vMWu3uHQHtBa+qy87M+TkXSi6YcaG5RRKU1Nb3tkOkNoQmkMy5ShLj4oxUusfLE+T+eIhogbltjQYB6V2ChSRKqhwsZuxEDq4HBdXONF8AL92KO3nOY3AxvhKIyeo+TDWMJdPOe7cAXKuERnOk55szWiKELf83zx21ooMsDNZOC0Q297svzDELNwhiCgJ2RyEzKdYdKTyCPKpESsYuz1HqfuhFeLV3Lf+efGgfjlWfwcD+XvPj+kOLUnnIYTroorWGMFP9wNHaqpet7kjA2QQnJFJkt84yYlGvV9/R4GbPo9stJnO3SG58YwDsjjXLaagx0w2hE3xQ0W6QLLfInH9pH41yiH0gzPspabBJ8MXA0VYIG78o4mTkXPgCfEeO/QWdE8P9gBAQir6Mcep/GEyUx4NSNy8tAeZKsNB7yYv8Asm6FqKzSGevnR8nmINQ3ZnmrTDZ3gc5MoEZSsN9wba+TnDEyAbb1FZSpc59cYMcr22mnH+gMRDuNBUsa9TMWfRdppeW9DHQKWXr5EJ8gDboC04jZ6HC/3wuS+vWL4W76+YwW5dYwn92bCTbKRlEvreIhumy2+cfgGjZjlmrQUG+CxfsTD+UH4pctsiXW6po7pon/bNTsopbBrdtgUG8EQpVGKu9kdXp9fo4xLTuEvrFC/3iqiAtVAPI7WLLyT4BI04ABn6ECG5op7mS6hlMK23TLoqDkiiiLEmozmd+d38rDmMY0MHrHj14OrfIVNsQEcuKK/THmbiSuqXOcMP3CKeDfTQzs6l7+2+xpJBRGlI1HIQJX3p/ecEgU03gUqQBAGotsGgGmijGOVrVAEBSIVPRduQ404jYVPu844/S/j51RLz0if7IQEF/nRQJNmMzREIYK60UW4wLE7Cs97na8xCznB3fZbwTP5MIA8zZF2qayxwyBEZSukcSpx7VVPp7jH7jUjD/FhpITjhBO01ag6hhoYZyR5sBuo67+v7jEOI8qoRG/Z1MGBlB1rkYc5iqiA0gq7jjxTn2SYxdQCJgGL32N/pOY9iLDKVthjD0xAlEV4e35LA87lIvSNXG96bJutvFZlUiIIAtRdjW/uvylYMTMxndbzzj2mLQkTCUM4j2csxstl2vfia9DQwiMf3SgNZBGTzOLXkmnIKb9xBo/NoySB+mTcdmyRhzmuy2sxuAKQIItqpDY7Dfi+wUHYvVVfsQmNMjaCVqOMSsyjOaaImM1mbLBMlzh09IrMM/63dqLBaTAD5sn8eXWNCZWpMI/naFyDEDRJ5VGOLM7oL7nEGiulkKgEB3NAPdVYp2vxbaRhSi2wL9pCFlmrbEXZV1jQuBNmaMNWaCtFXLDJhMJ1eY378z3sZGVdr5WWLRcA0UL71806i2W6FA9FFETop57kAJXjqX2iDC4IaWS+JGWOdsSuoZ7WF4ft2CLLMqH0eIzmZPhc5RG/p2qo4L0gq3zF2PBLhPUyXaKMSzG09rZH2zGYaBbNkCY8o7Mg49o+JMnnqXqChUWiEryYveBqOuRz6qV6fjP0WD8CmsMX4zihXyQLmS6PdpTBjCcbhDoUoo4DOfj+GdIBX2OfDvy3d38bGhqjI+XCh8c9NA8MFckXmMCf99CSVDHLuTEZ9MDUwYthNA9zjOHIZ9dpzAt+Hn2xqJVG0zf4mYefoXwwWYrMchkvMWiSgPb9nr6ny6TfGIPNfIMyIWEEDlhkC9wUN/je/9734sP//YcIdIC/9Bf/Ev6z//d/hv1+j5u7G/zoH/xRuUP/oz//H+Hl7UusFjQBf2tBfveFOxhnxDeThZz6vj++F+nh5CYM/QCruH3atTvhTM+imXh/nKEOe5bOJAHS87SzMMPd7I4bXB3DRpaeGRis8zU10NEMeZLLQCoNUkxukhjzm+JGyFzOURbmfTjH9ogkSnBT3iDSER7qB8n08IbGPGZz0ZlOtOI+MVk7ZldIGI3j5+eheUAe5rjKrhibjhGx4mZ73+yhLKlIUcCzRDnKtdIwFR2656F3UydbHP8s+q/EUk89TiMn3lGMmZqhHmiELINSwBSbdAMLGiu1YnDQMA6Iwxiud1jGS/pQsiXen9+LH8PAoAxLaK05BEGIRbEQY+7oOHx5vX+NcRjRRA2HIpgYihQEqKZKJs9FXIhcGIAkd3eGnijfVHZTh7ZvsdVb2XBYw3Pa89yVUnIWhEHIXJQLxUpNCnmc44P5B0jjFJ9sP8Hr82scugO3ElEmAxhjDFq0mNoJm3yDwjK8z2+6PHzDOINpumw2e5p4IxWJKX6Y+PNt2y3VEEOH0VEud1PcYJ2vZch6HAheSALKjXxApVIK85wex2pb0ScTxkIta4Z/DIOB5smc3YflVK5MGJTRDrzUYx3j1J+wq3b4YPkBge0XV207tDg0Bwnw0LmG1fY5QtqOYpDI4xyziEadXbODxXN0dxZmaIZGulfluIbrbIfH6hFpnCJUpEVcF9dco13CgJSmgeMqIzP5vrpnAXqZiK3S1TOH+ZJuOY/nz4f40MAaK9i+6/yavNKpw2l4xjd6ckmgAzFjtFPLdbMzZDGPDU7mhE2ygTEGLnQ41EzWmsdzjONl5RgEcNbBwEigi3L8/q6za667L9rQKIyQOmrQb4obHLoDNYAB0Wo+UtkTZQYzwHTke7ZjK0gxj75bpAtpitqxpcRnaCU4JYu5zm6HFqfxxFV6XOCuvCM+y01wxn0qMWvX7jCLibVqxgaLbIHI0nE9mIH4qZY4qN72wAQp+IqsYDiEoRlkWTAmet/sRcLSmY5r0DhF3dXI8Vxk9VMvWvsiLkQj2Y0dsVmKLnI/LbPOClpuHrOgfGwexehz6A4owgJJfDHmhDmChD/jYDl1fawfqb+3SoyU1Viht73QThYpNayT4wpOWy0bgnN/xtEckUYsPv2XcQYBAhImLhgra/kZfrV4xclkfxY6gJea+clQGtIk6mkwk6VcIFDE+fnPin+f5skcWZCJpMlPElvbSihWGpId6+UxHoHmtyH+mZilM8rVLng+jy3b5BsWlc0Oh+bAjc/E7cUsmmGZMRgnCzKsCxq9/WT2Wy8lbwx/Y97AWSfvp1M0EPmpnTf/nvoTdu0OrWHjssyWKJICalR4rB6lWfD6Un95e5pHPbDYDnSAdmpFUuIn3E5RlmJgZIILBfEuBJo6xtCEXKfaCdezaxRRgWN3xLE74tAfpBlpxgZf236N8jo74F31Dlf5Fd+jOIMdLWY5CyovW5slM06nRoMX8xdY5StkIQ2SUcgp03V+jeNwFDmRgWGq8TRJouxtcYtlTprOaSB2MA245fLJfD5MLdEJnqYn4SZ7w3Og2JSOZsSxPYo5Ngszat8HStSGccAs5sAmC/mexgGHC3nCIcm5ozb83J3x+viaxKTimvQZM1B+NhkpoHxDVCQFnKNEqJoq9AOfx22/FdlW5jKeK5dAnDS+DETMJEXiaIgrbabnC/2X/6pfju/9/u+lST5K8Zt/829Gda5wt7nDR1/4SPTJ9VDjr/71v4rdfocxHPHlL35ZmPJ5dOF72xEfLD9goFNLU2Me5shUxkbdjHjfvkfe5fh4/jEMuEUpkkKCfebpHDFiVOqygQnoLxGKRX+SbfB1eo3BDYJuDRSDYmbxTLICHPjM+eCsWTLDfJhLET26EZt4I+bIRbKATjmI6kzH1OGMz+9T/YRqIuY4CRhG91g/ShhW73qpIbx2O45joKGPbJ7Oce6ZgO2HZv7enqdzwQJ7Wcx5OBPhOXUSUOWf58nS43JoD7K1iXtKJbKQhea+2z+zsi/+o27s8Pb8VprYdmrxsOPwMdWpMOLnGe+QeTKHhha/jp+a+yCxQPPOb0yDIi2E+nXqT1hlK5Q5h1BX2ZXIPbz/p+5q9KaXbYoHFjg47Ood74XpjM52+K7VdxGH3D7XLvf9PcxksCyWgIOkf364/FDkOhZW/uy7xR2UVlhkC/G+xZqSnWqoxNuS6hSn9sSNlYKQ9Lx/LlABTu0Jb7u3vI8v8sMsyhBElJWVEb0j226LJEywSTeSPxDqEDCUPgLAF9Zf4DaoPbCmueATQxVimS+he419t6dcSXEz8Fm/vmMFORQwYRI95zJdwoFBPD4aWTkK+88D15RRGOGxeqQxbn4jZItVuiJRYKxR9RVNNcWIwFFrZmAkmdA5Ej76qYdNaQTQWnOl7c5k31740JGO0BhOqKuBpI5tvcVj+4i6IwrLKUbE+7AKDU5Pq77CQ/2A65wHemf4ofLmBxPye1rEC3FOA5AUxqviCp3pUE4lTv1JpklVX+H9+b0YnOCAJExwW96Kpvmj9COyo5scAQJyfUMmcTk41H2NXbfjwe9oxOwNV4Ve0zkZ6tSP/ZGG0ouMyHfFRVLgprxhEpejibIayCn1h6c/tLyb3sfR+2Annybq/+xVtsK5P4th08DguuAk9l31jhdblGEcaZjypj2MQNNeXPSXIsIbZ6BADqztEbpQghe8K7uZGuQqh5t4oeZpTj1aRPYsAFQND/ksyzCLZ5K0ee7OgrZMggT1VAM10NqL0dIM1Mw7h9Nwwipd8eJonzhdhsZjRTnWR6uPiHe7kAkcaJT0U/MsyFC7GlVXSRLk5Cbcn+8ZHpGtiNi6GOeU4+fJRxtXA7XDXjfqiReBDp6xlxeZRhZllC2BBj6PLEyjVHj1oQ6BEIK0OvdnNGPzKa+AN3BGmmvBaZrEWB2GbESWOdnjHrE2jIMQYEJNhF4WZqjGivHyl8m5b/SMMcKL7YdedM+fnD7BOllj1+0ADWFqJwF9Fd3USeCEcgqJTnAYDiJ580QDX5S9O73DQ/0gmnwvUVJQOPUnQau2UwtrWLwEQYBjf8QMDGDqElJRpnSSZqQzHU71Ccf2iDAMESKk16F/zlBoekqm2oiUiSzKZJrfjcQTRklE9n4Y476+xzJeskivGfDkNfibfAMdMJBlNCMHEtogiRMhBm3rLbKI8dTX2TXmGVPxltkS7dg+/5wTPxvd1PGSNQOSIMEsmXEi1oTYKUolnCWjOgxoRC/jEot8IQU0ANHQG8efy4LbA5l+WQYuPTQPeDg/wClyor0Zsx1a2ejMopl8Vic7IUrYJAQBp6s+X8BL+w4dv8fAUIqXBHzdq4CFZxIkmKaJZ0Ayk0n9KlsBDqhNLZ+lMAiRBRmb7LTAMlmKH2dyk4RCefKQ95h4qpNzTjj45+HMUJduj8xkuPv4DotkIZstLxec7IRf/OVfjG7q8P78HqMZZWrXqlYkmXlGOtO22eJ99R5nS2lZ3V+awXGEihQDqiyb7SzI0NueRXLTYJEu+GwrLSmZ/dTDOcrnNPj9trYVPvkiW8jUMwkTytzcRaJ62RZ5A24SJsjtc9PqN9hZmMEmVnIzTG8QxZygeoRhFmYMwxsOHAroAFNPg/U8nUtSrIJCERUMGoszJAO3mzCUMfhtXGlLnMITts0WZcxAryzKJITLB/14gIE/c5uxEZiE3xTu2h3vnyilXKxvaK69bNi9dCsLM3x1/1WBLHgJZBDx9VFKYRbxzvYbGa/XnsUzUtESbr4iFeFo6AlaJNx84IK99OjXNKDG3nPK/RAlj3P0LX1wm3wj4W2+fvNSl7vkTqAV3pjdDKRAdWOH5tgIBcpaizKiD7AI6ek5DScxk1pnsTIrvKneQDuCL3SgkUQJfYFBitN4wqE64GuHr+HV7BWuZlcY+1Feey8TjTRDw/KYiEvbW6HaZQGpM8YalFGJWcZ7PdYXRcB4ko2oV1J0U4cAATcEzmCRLVCmJZx1+Pr+63ioH2CMkYClz/L1HSvIP5x/iCiP8FA9SES2cTQ/9aaXabfWGm/Ob/D1/deRhAl27Q5lXOLYHlH35HbWQ00usGbXXCYXkxzU84OiIIV+NEQY02e96DyZ49ydUY0VypBmhzRi0aYDJjfVfY3WtHDKIQsy6FSj7mq8P7xHkRR8SC8aUmcd0lmK14fXGIZBHgyP5ro8txLQUQ0V3jfvkQekiIx2RGhZFAcBzY6n/gRjDL5x/AYem0cauIKU09Yokg/adXmNTbrh1M+NMoF3IEqoGnnJ54Ys5n7sMY8ppfG4tGiMhFUe6lCSRQMVYJWtsM7XUsB5qcKhPcDCYp2vYZ0VV7uPdfdmvmZopEBPgoTyCUQ0TEwPKGLqAf2lgRBSRNZjDUyQmGAHJ4EDYUAj23k4Y9dwqjyMz4meAQL0I7v908DpQKxjanaTEjVqqFEhdnSK94bmSK/rnWdzaqazK9G/FSFpO6eOf96pPaG1LG6d44TdX+6xoj7TM0sFC2kvRZExsk1BAIwTTUG4OPbLuKSMIcjxvn5PzXycSrpdkXCDFKlI4pCVUoABlFWSkjrZSbZNAQIpCjzW00u2/MR217CgjVX83Pn7z2/E92U7bWkOclomiV4uAQC7eoeH5gGbbIMiZJRyGZV4ap9Qn2rqri+bh2W6xGAHSQ0skxLzjDHeAQJc5cRoPdVP/L7dhLZlYq9/VkMdYl/v8Xr3GkopfGH9BWK8+hOusisss6UYhj3Tv4w4ndphJ7HM/ivUIa5LcsnTOCXWSkEmTd3YSdCQl0N5w6RWWsgGZVIyjOtiDPc4wWN/lDTaqqtEztZMDdqhhdWWRipNM5VzTi5pH//um8R2bHFX3MnrWCYlE4gv+moNcpZ9zLWfzk2WRcs6XRPJqajdzGNOxq+KK24Dghjn4xnbaovOdojbWBJloyDCLOXFZpwR6s6xOeIwHDBMA5bBElfZlYR6OLCoLpKCBJPujEQleFe9I689pvdj1+y46h6Ifryv7/HB/AMas6zB++Y9js0RT+0TlslSJGdZlOHl7CWbGy/tUvwM+wm7z6IIQ8qJnHLIXCZkKwBiEB3sZS09NSjigtuzvsaxPcpn5Dyc0ZgGSqtPyc1W6QqP9SMhAmlJWeSlqYqCCGEc0v8S8Ps49ScmP2p6eh6rR8wSTvn5GCpMZkLvehlyRJoyNG8sBi4c/ywXWaZWlGI5OHxj/w1iVsMYSnPCOLoR1VjJZ9g4I1vseTRHFEREoialoOCcdZK8XGmakvupl03UoT1gwoRNSvN6HuUSLOSxgJO9cKIdEXRBwuyRzrKw80Xf2+4tSTmXZr03HDgEOhDMXjcy6dNzvZ1xmAzDhIZpQIoUSZQwJCkYcF1ey5bo3JN0lgc5t5y2w89tfw7XxTXu5ndwPZnf82zOCbVijRLoAKUqpX5JgoSf54AYwSzgFnhX7+TM9dJdAGKEHO2ITbZB0zfyc2dhRr+Nl+pkGvcneuFuZjeYx3O+JgA58hdqm0edViOHgUVM6d1T9YRvnr6JWHFLVOsaeZyjzEs2lIrvywEkptxX90I/89N7FSh0fYcP0g8wmQn7fs8BycVLkAYp7+SOBkg7cUsRluTLT5rpqd1I5YEOaD7vp54GzAvpaJORWtQOLXHMKkGWZnCG0qNmapjZUjnxGpVRiVW2gjFGwBXbeisADwNuHj8OPkaZlpRVxdTRz2KeKVDUkHuU9TJd4r66R6YyGfx4s3A3dcxo0SGKsfjMdfF3VEOexzleLV4JRN+jbwIXCLqvSApcmSvqxqsHTspGGh2UZgHyrnmHm/wGucoRqxjn8SxMVD+x0NAsOC+orFlClu+54wQXDlgmXHEaxentLJmJ3GCwNJslWYIqYmriIiXlwxor00doiGkq1CHe1e9oHr248gEIJ9U4rgSddTi2R4wRNWkaGghYDA79IPD9Y3sEFHCV0dndDR169DCjkbAXWKAznTjjj/3xOVBmaqBAVJTXsM3SmTxk63RNQ40ZRPLjNVd+ar7MlsLf7qYOfccJWRJRH6mVlkLBSxiKuBDmvDfX+A+512lnEaeCnvfpjRvd2MkF3089p4VJTgqEZcOirZYJsNfopkGKMmQIgi9gXs1fwXNLvSxhE2yEs5oECQvFjoEmVwWL7yzOJAjIwWGwA3Znrny7sUMzNXisHmVb4ovJUIXo0Qu15tAfJDGyjEoorbBO19h2W8qoogwWlivz82t0I6c0/dhjyiakUYqXi5ecbsAi1jFu8huiPy2jsZfFkvrGC2u/mio8jU+Iwgg35Q0nLB1JFFEUwRkn+vNR8yL0U9IJE4qQGunRjJ9CGPrCcFtviblyITpLLKNK2ABUbYXj/ojO0igIBxRJIRxuYwy27VYCSsqE8gHflCnHhvqpfsJTQy21J7Hkcc41uZ3QDu2zcctwY+RZyM3U4E315llGFOfoXS9M4+vsWugeRcJAK78e9ZIPz/m3qRU8nw/gOvQHwX/65+Ll7CU++duf4G31Fmme4vYjmkRvy1tEQYRtw9fMywDyiK/v+9N72UYUIfMA6rHGYaC5tTM0O6dRit72qHvq4L30opmYTppFGe6re6IBTY8iKTBP51xbxwWqscIQDhjBqZLXaI/TiLzIUab0bOBi2PZFuzd4h0GIdbGW1NkyLjnBUwGGaZDtC0Dte5mWcIrTs3WyxqhGKeIQ4lmCB4N1uubE0Vrcn++RRAkJKmOFd6d3spqe7CQrdr8Z9etrj0PzniCvbx7tSLKVc0QqmmcGst8unbqT+Aq8YdzTM3xkvJlYpAYqwDAOCBFik24EXWqMwSbbyOTyPFLulYfPSaBpkDJwp2fQWRIlkngY6xguc3JmNFMDa/n7mqnhoAKQot0XtJ7E5XF+uc6laBjtiHNzZpDPJQnXWCIti7iQaWaYhnisHxnglJawxqKypPsYy2mvsaQ7wQLdQAMhHJC6FE3X4L665xDqAgIYp4tkMgw4JALZ0D4bAYCkHNYDUbK7YUc6UMLP4rlnkrAPq+mnHrezW3pwelJtypDb5CIqiHe8nMXeF6M0G5hXy1c4d2f0Qy8MawWFj1YfYZyIvtVO49Sf8NQ9YaZnzynFAwEQRVQIcrVMSqzHNbbtVoaAoQ6pJVaQdG0AMIaGXt/odGOHKZ7QOAIDOsXtk3OOm62RW3woCF7Yp4e+mL/gJH7s0Wj6tubJXAJ6mrERjK034HojcmtaKKtgtYVVVlj/eZRTJnLZGlVDhZ3ZCQCjjImK3nd7DgsuwXl+WNSgwTgQcVsEDN6rXCW68MlMMrypxko8K+fxDDdQujJOo+CnveTq1BN37AMd8zDHpCYcqyP29R635S1UwCGTD/jyAWr++XCpw/35ntvRkKFSRcLv0SlKfDyFxj9zYUDqUG4Io/CoxBBURZy6E94f30MF3Li8WrxC3/SfuS7+jkpWAhUgS5nc91Q/AQG7+TiMRdNpnaW+yU3YNTsmsl30dLNgRolBVDB5yky4Cq+wiBcydfKrBmu5svVroVN/wqbYoB/5ME9uQuxiLKIFwpyXk9f/vT2/xTyZy6qtMx20voQSXKK//VTLWsskqTCGCx3OpzM0NDmX3ZmA/ksD4oOPrLVSqPomwa9hBzvQafwtqL3RcR25zJZ4qIlBjBAJVsxfMk5zladDLaE122aLc3uWhzsLMwxukEPEM2v9z5LGqayRnXUSSFBE1Mvtuh2WyZLmEctDPgzoWJ7shGEcuEK6NAFe479IL8lcANKIk2ILi1CFkrroU7GqoUKqU2z7Lc1tF3at0vx3x/aIcRhR2Qqf33yeBrFLEl8WZxJV70kyaZiKD6AMuXIyCdfGp+Eka1fleNiuchrDfIHiA6nqoebkw3INC0cZlvcJLFLGDnuJVBmXEsYRBUxvmxwn1pGKcOpPaPoG78/vsR/2WMUr0fy/r95jmTLF8W5+R32bA47tETu9QxEUMNpgXzNm+tyfRXY1T+ZiJos0V5iBDsQsC0d9+jzlJNpjtpxzGJKBpIUo4xQDlA8cWmq1vebOKr53QUjDW296prNdDDKrbCXeDgDUFBpqqNupxTqlWWmZLWVqOtgB1liRNDjr0Fk2iYMdEIyBeCrGacQsmIkuOtTk8+cmx6EmyWOW0ZhUxAW6nlg1XIYZx/6IVbrCbXnLtLruSOyoo6wuDJ6fU2utaB9f5i8ZYa01jsMRj998xP3X7vGv/W//NTnqfvwnfxzrLzKcwm/+vHys6qlXPfUnKVa8VK4fevLPrUOjqSsOkxAJqJn008ci4sYDFhgw4M3pDUZH1F9uaQz1pKQiK/AqeIUgCDCNk2w9zv0ZURpJoRTpCHHEKXkScl2cx0zj22QbvJq/kmLYWJ5lu2aHeqilWRzNKIma/hmfFLF7CCFM52Yi1cCHUpnJ4G39loSEvsIsnmGVrXBdXkuQks+JeKwf0Q40zL6YE2177s8o4xJFXAg+0ucQDNOAq+IK9VDj/fk9Pjl+wg1nmDF98mLI0kpDO9IetOb5Wfc1/U2K52Hd1yjjEh8tP0Icx5gmvrc+fdeCGvhYxZinc3y4/JAFcxXj2B2hrMJVeSWSIJ+eeOpOKNOSWwkVoZoqhraFhaDvdu1OKEZxGMMMRggkEtB1edbqiRkZFhbzmKbDT46f8DxQkWwatWaRZMFYd48dnSUzLOIFmdXQKBKmTJ7HM6pjJRKHd6d3+Prp69BW48X8BW7yGyRRgm2zRR7lWOdrJnqmSyGHdRORtT7dM9IkqvgMkMlNIkltRz7nPt3aT6LroRYpWpEWKOKCG1pQWtYMDXXrQQEVKrlz6pH8e9/ANT0hBJucG7AkSlCkhcgLr4trnMcz6o5nmr+r4iDmYAvEYsLhmcAykrA1T9mIKa1IENI0+Y9mFOltGjE0xwcDzeO5GJyjgO9TpGj69s+nT+T0r4U32gc6QNRG+Prp65gFM9Fj75odtt3zpDjQgTRI7dTivrqXICTfRHZjhyyjkdWfrb6Gi3UsBW+e5rCdxf3AfIy6ZzF8GOgrK6Li2Uc2MS20n3pM6STUPe8l8CCN1rZiJs3CjPS97kQ8tqYx1WqLh+oBV+UVOkc50uQo1Tz2R2728xXlLvUJCIAsprnbGIPH+lHOMeusDBM0SEWzlibURCWSqVL1lOc2A7X53s83S2Yo7D+GE3JvMhmHUYq5eqxZkF/WLZMjnaAbOiirMI/n6JIOAwZs4g1xZWEqnN376h6rfCUxvr1jNG8e5mIc8+mYcUCDhY5IH+hMJygnDc3QCmckLbAfuUYJAwYKtUMLbSmX8JPuY3/EJqc5wCqicebZHFVX0bBqWvRtLxQFj6VLo5SmopZc8IfqgXiwKEHkIrw5v+F03VHvNSlGpRdxgdkww1PD9f2pO2EWzxjpbrlCWiUrpFGKXb/DLOBD/4s2vwhlXMLCUpJhAjQ9LyKfQrbMlpjnc0lE9HSVc3/GvtnjqI6Cu1MJDXteq+wnngpKwh18wmQaMsjpoXpAHnEa6vmsRVTgqrySzjQLM1SoMPXEb/m188v5S5mEf3L6BA/1A1KdPpsvkxyrfMUQnAuSSyklK3itNCcqUYkyK4U8oaBgTgaJJlu5jErhimdxJppGOMpo0pBG2aoj6WWdr9GZC+P+Mv0IdYhZNMN2oi53mVFK4Ju4UF/IDJeUUz8djBQpCFprZDpDEhFX+FA/4MXsBdKCxrJ5OhcEoneFTwPDrHzRCA0xtnhijsqUpNju2p1wfe+rewQIAE1ZkNKkDmzdVgKklFPE1cUz0TTGcYy6rSWoa1ftUE2VmDsHS276LJ1xygwamaeJl+6Hyw+pb9ZajG8WFut0zeTOgimk3cjDObJs+HxgkI9idorabGMoF4mCCOtijWNzpObvshLtbY88zBGpSAqBu/JOtPH91KPXfFb9xsMbgJu+wYRJwmQqUyFXOfZv9viX/yf/8t9x1n3tZ7+GsRvxdv4Wtx/dkhhxQd397Fd+FvvDHrP5DJ//wufRmx6jGVF3NaqWE8NXs1eUNk0NnuonHDueM8tkiTTmufbUPHGAAStM5clMwrLftTQwt0OLLM6gLN8zv21rDbX/eUwjej/1iCwn494TogaFfb/HVXElRZ+XfIxmRBqnOHSHTyUkO+uErqBGxWl0uUACUmqWyRKu4Wc0j6npdwFlgct0KSFAqUlxlVwBGbBrdoKWO7QHRGGETUYcXDd2XINPHdKJU2MfBR6HsUx6BzMgidlEt32LaXqmBEUqIj0JBiFCmNEAGnDaYRgGDG6gidv0uCvvsMyWkhrocyWgWdBs2y3myVyGN17+EWi+1nFEP4S/QzxpzOtbPcEj1CECGwiF6jAd0IwNPph/ICFbGLiRyEwmOv43xzeohxplWmKVroQYUcYlEaqmEa24N6Urp6hxvoT0qEBhrdaUamrqebUi9q6fek71I561/pmOgoiNvKIXwdOI4jCmvBBEw8UBm5NAB1gmS8EaF3Eh0sbzQCP3aEYcJnLMs4jDLB82lgUZwjgUD43W5Ik763hXK2IdtSKe8tQRHNCZDlVH3N59fY8yLInsizgp9bpn3zw8nCmrjG0swxlfkK6zNWCB/UC8pR94jJbBfn4a69GfL8oXeFe9IzntIs1KAyZYenrMhEm22gpK5B8eP2hT3gHOOcRBjHW25pa1p++un4iQXGFFv8XYksQGFu7/f+7+PebWbb/rw75jPGM893l/b+u29/a52SZAC0KkwQpxg9NEIVSKlDR/QNoiQqWENE6QKDh1iZw6wglRcBAIuUQFWlQcIgiESLFihBxCJcqJcYMdyDHH9tl7r9t7me+8PffnGWP0j+8cY52dw+Wc7eKddp5/9ll77bXed77zGeN3+X4/331HKVk1ViHh2fsyroorTJpG0VzlbArOBJtMZXhtXpMcd5bfTHZibP1wgh3p/ygVE0ibvgnnUzu1mGvKfeqBUpmH5gG97bGwfE6FYFFtYTGNNMhKKfFQP2Bbb5n2aics4gVOjn6HfbsnBcZalK6kj0AgEH6klFjPSXabZ3NYwyHt09nT4IXy9CQ4BL9LpjOmiE875DFri+viGvftPTb5JgwwnWPD+vWm7G/19dkFA50nsA/tA2IR4yK/wL7hGrcbO0ySRUUqUwxyYCDD1EBrjTIq8Tg8Bj64i5ikeVVesXC1nEQd2yMqWfFDetZqef2T16D5mPJTd0I91Zil5JsDwCpbIYtobJSQQZNYxAX6uA+R9x8dPkKhC5Sahag3PLSmxTyec/18Th+NFbW4fq0yWcLuE5XQ8OUmZEmGZXJGKZoti92hp75Jz0LYyKFliI9fQw2WhiArmMSlcJZi6ASX0SUbib7l5RtFIYbeY7f6safhFNSBVX0VDstZPIOIRXCCq0hRxz9S+lLoAk45RC4KUfPW8fBx1oXQmUhGuEgusGt3ADjF8ea4Mi9J+jjLBrTUpL9EKVGU5+APLTVGRyqC/zs8lSOJODHM4izIUOBolk10ErSjhWbYgL8k/RTCH5gCIiT+tX2Lpm/eTdxiTkwSTRlEVmR4dXqFuq+xKlaU6URFYFZLIYPDP1EJMAFRcjZeSnBVaSjNuWvuUGYl9KhDIe2Rj6PjhFkJbmnyOMf16hrN2OD14TV602OdrPHh/kMeojqHFSTX2IjUm2ZswvTj1JPLraTCs/kzbJstHPh+HNtjuERTlWLbbEPKHUA5ziye4c3pDVTCIAclFIwxsIZyAyd46V7PrjGP5yEMI5Jc9a/UCiYy0NDB5wAgGElzzebJR5jvzI7PD2JuJwyDjrTS4XL179UyWyJqI+z6HXKZY4iZ6OrNl3Vfh8Ahj/Kqhzp8NnwDs205pVWRwiolXu4rX/kKbh9vcdwfcXV5hfV8jdWLFf67v/3f/R3Pun/rX/m3wj//rh/6Xdi+3NIcVmb4A//OHwj/7l/+P/3LKDcl0jxFIxp0qsN3fvt3Ik84pX6sKZMaRkrKTiMNf04SC2athZMuyBjm6ZzyvyjFKlmRDX+e5l/kFyFIzTqLWPAyz3QWsIpzOQ+6a7/paIYGy2QZUmN7w/WsgEAsWGzN0zlDdqo3iEVMg/TZcFf1VQjTmcyE1vA8ukgvwt/lsZAqUpBGIlPnhvScurvMGMimBWVJ0zQhjmNEiIiQ1StuF8+FRqYzzDGnQVFnaHoOCZ7NKJc89ScGkElK7oq0wDJdourOMoqI4WTzdM5BUEQCQxql4ZlYpAtsmy31yqCBVQpiPT2Cc7AD6qkOhtAn8ycA6MUYpgEyZpFfjRVOwwlR/W7bZJ3FwR0CYlYIfj3besvhgE6DDKIZmxC40o0dZMTBkX/5DYPWGsfhSBykzkiyqdnYedOfE47I0ZGGNu149vmBkIpoRPZ+BQeHGjVNsue71ssPJjshchx4eY9GN5BatEyWQbMuJCUW1tlQlO/bPYwzYdvncbvCEPywSBc8qyf6vLTUOEyU0jjhwmbWGG4bD+0heJy8ca8bKRe5bxjKJoUMadi5zCnTMC2WcgkzUWM82vETcII8yRkwJPm5Ndag6DkxbQbKNi+KC268dY7TeMKu3SHvaLY1YHotQMPrruPGM9f0qLw5vUE91jh1J8RRDK00tjU/dwDw5vQmyDt7Q3/YYAa8rd9y0CKAHDlEJPBYP4ZmuekbjBG31K3hNDuNmRFRahLwfMIzwPvU4wQ94vW+vqd00zgs0gU6S3b4Ml5iLEZIx+fBe3KaiUFrWukQBpSpDBNI6Tr0ByzjJR7Hx9DoG0MCDByRy1bwM+qbp8eaxlmbMq+hUAWMPpv5xxaZzMJ2/qF+wCbb8DN1Tgadp6TW+KC/dmwDraieatLISlK6PLji0B/48z1Ld9Io/eYL4f/B6zMryO/re3Qd47wlJMquBCQ4jTY91+ET14NKKv6Axw45cqyyFR7bR/zs9meBiJO8PMpRRGRR74c9ALDDmix+fvfzmCUMMfHGFr/62OQ0fw6WiZrH9ggrLGZ6FnSNn199Hg7sQC/yC668pw696XFZXmJbs2heZStY2GDeW6ZLzFIinoSjdvkmv8EETir9hDSkiFn3LtYbUYiUv8wuOQk7BwkkknpDExmYjmY2CYnIkpNZ6pKscseQgLmYh0QxkQi8fHiJj3Yf8es9o5X8ZeWj4zfZBrliqICXHsymWdCIX5VXyOOc2vRziJKONISly/rUnXAYKANYpSvM0llAuo1mDIECXn+a6YwphOcV4zANcIkLK+DBDPhg8QHNfWcutYREohJcRVcYLJFYl7PLgB4KrGozoUzLQIQZQB3ssTuSKTw2RGeNY5jue7xjHMXU+DUN3h7fItIRsiHDLCO32Gv7tNDYD+fpoJswqXdINicdnpXPGFl8ToY1jk1PN/ASwJml7gNZLEhQsKBu2U0uTHP3CekN1+U1SRJn7b4SdIcPhg3s55afwzJbUjYzcsWWiATrYs347JE6uVWxCv+Nx0p2NWkNzxfPaXqMSx6KURa2DH7S+PL4MpAW6rHmJiIhwq5IOema3BRkP+3QMhE1kogcteOe7ZzFWZiGSUXdbqxiZCrDvb0PbOte9FjmSyQ6wf3pHqMYaejWZSAnxVGMVKTBqDNNE9qoDcFTy3QZEkE95QVAMIgN0xAma0qyCfr45z/Gb/1f/NZvOM/+2f/1P4v/9P/2n/59z73f/3t+/9/13/2R//Mf+YZf+57/1ffgt/z234IX3/6CpJsuDXQgT3TyRe/rIzn3RVJgHGlanyWzQCe5UBeINeUU3tjqTXQXxQVW2YrDCMFtT6LOBdr5nJrpGaZkYpLs2ViulUaEKKzbJzOFYrjua+I5zyav0Y5YZIvwPEMA85jJn6t0xS2KNMHTsEgW/HNMDTc5WGlD8FqiE6ZvmhG9JrZtNCOlSwmn57t2Fybt/ty2loWtL9Q26QZJlGARL3jhSt4BPgk11SmmiQbqYRowyhE5clyU/PPmeo5jfyRO8cxBzzSnooMZAnEFjk2wLyohEMzuXi/sw5+01DgMh3emd0lwQapTUhxUHJrJauTk1acje6/Rrt9hruaINDcTfnjkhydK0gTvcY3CCdQDU2wnR6mmDxdzjsQnj9pTUsFMnOLrSPM9GiZidEEdrwQxsJmm6dJj7gKlxI7ks3cMimmHlpp6R4OjD5/x2GEHhzIuw70ZJJbnwCgHFzTK1trwddw39yiTMtw/d9VdwPe2pqWfJ2GuhhMObd+yqDUGF+VFkG88VA+oxzoUc5WrICSzB7xU5NgfkUQJNsUm6Pb9+eFN3T6FONd5+JwrQd0+BDf+ZcwAQDMRbQoQi9oNHYNzINHbPgz07uo7/mwVC/xxHJElWeDIw1JaMk4j6Wpn1HM91thkmyCRi+QZ2hCvscgXpF1pggO6sWMDb6YAyPCSj1hSwnXqT5QY5TRTjo4a7lW2wlV6FTJClhk3X7GNYSMb7utZwvvBjMy86ExHmWa8Csb/3tL/4+UtfjBwUVy8k/PKmFQ8N0ErHfC8k5vYFI819d/tEcIJ7LodGfrOIkuz8HX3tscqWVGKGUVhU9qZjp64qYKa+BkcJppJRzPiMB7+vvfA3+31mRXkj80j0jJFHuWopxrbdkvu8Dnu+TSecGwowUhirlIuygvUfQ2lWKRdF9fUdmWXgQW7b/chtGMWz1CNFX+4Zx35ptgEaUoWUxe7yBaBRXscj2Edtmt3WCZL3Cxu+AO2Uwg+UZKGESklvnD5BdyebskvPU98r2fX7JaFDNonLTV61wdG6Tyeh1COh/ohBIN4NJGxBkmW0GQxdRjxrpgtogKpTLGXeyzVMkRhr/IVUx/Pxtd1umZ3fdZ0Vz2j5Y/9MehUPZrJH8CjpfaznUiB6Kee05SWrGCtNPbNHpGk9swJOqnn2ZxFvB1IvJD8GfmDyLNdlVBBLwkgTJm8pt5P5CdDmkE7tQEJKIWk8UdoLJNlkK54pJZH5Y1mDGbQx/4xTEkSSR9AEiXBjX/oDtTJnWkR3dRBGq42S026iQ+zyZBBKAHbsiEIoSrNnsmgU488znFT3DAEwbCwzlUOFSvkNmeMfESpgX+piI2ZTwxMdRpSTq0kX7w0fB89ocKbHrupQxqnuFbXjA22JEzomBN/57i21YJkgFSliEWMMRrxLH/GdNB2FzYkVvA5uavuaDAW50SzYY8xOacpOod64s/Qh+kMI4swl5B2M5/PA3Hl2B1xGA9YF+tgYnTuHPBiOa231iIbMpyGE5xzeDJ7EqQReUwj7zAOqKaK2QDpJbKIG6tTywYwVjF0RAPVPJ1jmS3JIp/26AzRVxf5BTWMQx1kDK1rMY0TBgxhG+Av+1jHIQzl7fbt3/E8+2aK8U/z+ot/+i/iL/7pv4hv/5XfjjiLcXl9ie/6J74LNra4ubxB1EVIZgka12BYkfdvHTd57dhy2whO/YuEDGiPEuxND2st18z9CR/uP8QiWeBqdsUz5Gz0M5bs7UQnQAd8dPwIBoZbPAhMYgr4Q/85bieiUY0xDCo7S+G8ObKdWjwpnmCTbzicOWPrPMIvjuKgE/beARhK9gY5BEmIDw25q+5CQeMJScYZtF2LWTILRlD/M/UbvMmxgWhtS/OmkzwT6kN4j4qUZJxEJdzwnLedRUTMpHYsSnOd476+D8FSGixevXdlmS8D9UJKJgAamJA+7Nw7GYdwAttuywJY0Fg2mhHX82s28T0j5L3xzVgTNgyDYbBaFmfBU+ELVS+f9KCCVKdYOm4cHttHKKXQDR02eoN1tkY91RBWMJujvsfz+XMOo8aeCdsgbctvY/09c+pP1I1naxy7I+6be8yTOYciIB/ck7uWyRJKKexOO/qWdBpQgPVQY9/v8aR8wumsA0P5wLvAn12JSoKZEQMACW5D3cQN9zlkKokSjIqGd18Y+sHJJtvg4/5jjG4kCjHixHQwA47TEc3UoHQ09wsh6M0wA65n9J14Y62WmtuOqadUU5BspKTCKmOBt2t3qIcakSAZbd/uQ35Db3tSuWwTzOrH9ojTcEKRFvChVT4npZkafLj7MPgwEAGu55ZDOOKDYQnSOHU0GC/iBeuRqYdTpJPYyeL58jmyJAt4zjIpMTne08f2CCstpCN5yPui1vka9/U98oSboHZscd/e00QdJXweLZPE84ggiVSmaMYGTjj+HKQOQxGpJBZqgU20QeQiYhvPaGRhBc8vSemW96jUPeurVUK/gYgESlNiGAZ0jr6jRCVBhvXYPCLVKS4K8te33ZafvSll8zN2WMolrOAdHUU0i3pJdZIlSKMUL48vSQI6QzW83PrTvj6zgtxLSjwyxmPjVKRwVVyhUAW5wmKCHW1w/w7jQFerFDR7YsKu24VVihDUvpVJCaUUppY6I7+ulw2NOut8jVSlOLVc+0YigpWUjgyGdIYsyiCkCCE1EtRceZb2PJmHok9A4NX+FYsl8Q4F5vFllwXDObqJnabXK4bwH8EP7OAYsNOPxHPNkhlWxQq75hw5GwmUogwrvELTkKQ1i6+QHmYJ4fe82MHwIvGIPQnJYiYtIJXEY/uI+/oeq2IFAYHb6jZwQbOYl8ixZwLbE/2ExsZzEessp1eH9oB1vmZMeJljG20x2hGvTq/CCg2WhopYEDlYaIbq+EAiz75epsuggU4jPjh1XweUV2e5kg0rxXPB1owNpON77vXGy3iJ69k1EpkEh7aP6vaSoc51ofAeDTvkTGd4Xb3mhOycyplKFsrVUAWjrNejVn2Fh9MDni+fs5A+m1Qvi0tOSxx1jYfugH7qGeoCrj0lJAsg02FoBzxVT2HBz71P2mvR4kubL5HicfwIx+GIhVxAOIE4ilFklNTs5A6JTjCMAw7NAaMdoRWDF9I4RT9S3mQtV8TN0FBjfGazOzjqSAU/B54N7Kfw3lR7HI7Y1lvUfc2/zwzhWYijGE3fED11XqHe1Xe4b+7RjUSTrot1KFbagdKF48CGOIkSVEPFC0wSk6UjHYxm/vlaZkuGXGUVfuHxF2iONJzElroMRBZjDAbHQmXf74lKPbOGi6RgoT9QR+mjwY01nEiNDN64LC/xdPP0Mzkvv/I3vhL++S/9Z3/p7/h7ftU/8avwnf/4d2J9sYY9WeTLHGVZ4oMvfIBmbFDogil3Z9ObnwJ/fQy8p334AC/P3PUGzCiKcOgORGFGMRKZBHO1cyTVOOEoYQNRc93YhYmuEmyGc00tpv+8HftjmKCdlUu4a+4oLZSkMimhIKQI5Jh6qnHsmbHQTi05+ZJFs+d5q4gywVN/4rAjnvHnfSYyOfD3aHc+P+0IJ8gXH80IG3FbqrWGAgvjVw+vsIgX2Od7yupKygF72wdUZ4QIk54gBxlSWvMpp8fH2UDFiUH54jhRguSbEe+TeX16jeNwpHEwnvEMU2cz7WBwM7sJhlkzmPC5nSUMc5KQgTYhBb+WY38MxWM/0s8USeJxn5RPcGpOMJKNgm9urWUQUiq59SpUEbZe4zTCSRfwdM455Is8GGlD6M+5Gdw1O8oH/AAFnEAXuuAw5xy85tnaSZSElNNu6oLcBUDQ2Q+G8IPtuA1JyXHEEJ88ygPty2vHYxVz2OBo3nT2HX4zxMY7moCdcJBKQhvSoa7La6QR3/NdxzwM/1x5lKeSCipW4X2uB8bL77s9jGCeyGD4vRpnsMk3BDiomL6Ls9enGzpAsQ7w96ODwzyZ04SMJkjuBsfzVzsdklhHy62M/3sX2YKY4n4f5CKd4XuaKmIKBYgzjOM4bCyqoQpSTi25wfVSj2PHrew6XePQHyCEwCJfcHJuDdqhpSF4kkE+2ltuB3KVI1MZoohNLiSwSlY49AcM44ApIhvdRQ5xFofzHwDBIIjQmhZSyndZM5HDk/IJwQL9IZwDWmnMHclFkODn83znPS2f4ra6xV11B6UU5tmc540jiebV/hW9Y0mOjw4fBYZ7EiV4aB5wkV0wbMi8u9c/zeszK8jvqjuc3An39T10rJlsp3NGmMdcMT0tn5KJG9Gx/9g9hhASKSVm8SyYb079CVpprNIVpznRmTkrATOZkPDmubpey+qDWyYzcYV27lw3xQabjCEaD81DQLGVcRmKpCIuuOLsjngyf4JFumCq29dpvmMV46a8eVdYnCc1vnv2uLFFukDTNZgE+cgWFpf5ZTC5LbMlIhlh13CKIMFQizSmCWRbbSGdRG249hvdiJv8Jqxs/OR+slw5eQ1brDh9X2dr3J3usO/2uMqvUKoSj90jE1PbI42KxgQZgrV0lM8SXnCFpvPeEwmMM+hPfTBtRIIR38eOSV7WcVV1HI64zC+DObcdWxoMpzpMIjKdBbrApiCm8G31Fgd7QBEVaEbiHGfxjBrYoWYYiXR4MXtBbN80YhRjwHYlOkEZl9BSY5rOCWXOBE3dQnFd3owNTsMJXyq+hFSlOA7HENpx6FjsZhGnqZ3toJQKkd4CxAsKIRBL0iQwIUxfF+kCESIcBiYoetnQZCY8NEwl3GSbwE1dqAVeLF6EqfJ9c48N+BlwcO8IMGfpBs4kI6VYBBln0PVMUxwmJku2Y4vOkm3rpVz+4jbGYJWzMBnNiIvsgum2Ew2pt/UtUxcnOt2NYYMY6QiFoKv/OByDtCVWvKA94jGSEbTQ6CypRYUo8HT+lGxfKXFb3+LN8Q2uZ9fB1wEBXBaXmKUz+HwBJRk08+0X34776h7bbotxGrE3ezKetUaRFpzkjn0wum6yDcOsTMvAJZ3g+fw5YhkHzqyXVhSaPpD3P/8+/tiP/zF8ePshfvonfxp/5g/8mc/qCP2G10/9+E/hp378p77h13/vj/5e/Opf+atxMbsI1Kmf/ls/je1ui8v1JYr3i1BIAmDDGHE1rCXJKwAn0p7u0nQNHqoHTBl1/LOU9KpxYgR5nuUhwXGcRkx49977ZFu/5l2ki0CwuT3d0iQ6jnhTv4FzlCrcV/fBOCfByagWmprPMxEFDuRBnxNi1xmj20tVYpkv2XCoBGISOE5HSsOsxTpb806wAxrHECYda/TmbOgFWfqTnZicOw24yW+Q6xy7foekSXBIDgEdW491kJ8ssyWSkc3lXXUXikHrLKO9zSHg/o4DU5G9sdaBRe400Vg/JVMwlfuBgU8LHqcxGMMnRxysj/02zuDYHylRSFlotmMbzurBUmpUap6HJmdAl5dETJKFaa5znvWqwDyfwzQ8MyGI8xOK0s9cE0laap5bXnt8UVzQkNrvA0ZTSEEpht9iO2L4cpUHE3jp2LxMdkIWZ7hILmCswb7fB6/JsT+iGYj9TKOU3o+BYYIqo/zQWYdMZTgOTNRNVBK09YMdAAts6y1uihtKq+SZvjI0SGSCSXGC7ZngiUlCAe3JY/4+9WSoSBLhfOpPuKsJMthkm7DF7wz9LDiHCznLbvTl/iW23Zb3RtdgpmY0FgvHFNiWxLHYMfwplnEwWPtGym9LrLXY9lv0fY9IRSHdVUkVikctNK6yq3AvODh0DeUg3UCssZdz5nEevte76g67ZhcaC48wnSdzrLM1JjNh3+2JsI6LgCi9Kq8Clvmxe8QiWaCxTZD9eimmtRa1Jf5aRQoX+QVeHV9hMkSaVkPFmsjZ0BR7X9kiI69/HDmQqgZCBgpFueexPQbZTqxoSo5UFNI9l+kyGHKPw5HUqihHKtNAGhstPS0G1LbHUYyb4uZTn+GfWUHujS+d7TCX1AKOklKJaqwC31NF7BSjKCIJQxAV5eUCzjpclVfYZBsYGFzn1zDgBEGAqJxUcSroJ2MQ7Phy/W5S2o4t3p7e4qF9YGpfveclrRI8WzwL2r51Rm2lx/j5dLGL/AJdzCCY03hirHW3xzJahkmqfzgPPZsKYw3JKTFNV3LJSbWXIfgJTm+IOfrC5gs4FAd8fPwYl+qSXOkzkWIyPCxEJAKqbdtvkSU0MXRTxyl7tw/pV74z3Xd7RvgqjUN3wPPFcxpSGoP79h6PzSPeVG84dVAx5s08pNf1pscqYvRxkVArP1kiKr3hoxka/jsIrPIVHutHzJM55tkc0zQFo6V/kKzlOjWPc2QRJ9bt2AYiiLEkEnRDhyRNQiDKrt2Fg2iZLJHFGdbZGrGOSbBpjxjGIUQLe46xjCSO9TFIThJFLnA38mBdZStOhyNuHByIIjz2RzrwkwhpnOJp/BQ+gVEIbkcAmqi8u/y2vaX7Ps5C8+acI3f/fMku0yUO3QEvTy8xjiOeLp9ina0DM7ge6qBx/+j0ETWb5/X6fXUPHZ2jy8+829GwINp3eyLEsmVg7t81pAYgQmDSH7oDqrHCKlnhyeIJUaMxm67e9rADfRL1UCOLMsyKGbXIoGm31Ay5Gc0IWPpCdKTDhXlRXoQgHiUU1vkaD80DrvIrXJVX4Yy4Lq7x2D7ioX7gZ0mfk2fdMWjdRzPiaI4s9u0EHWusBf0AA9hQlRH9A8aRTbxvmfbphGP4VaSQFtSmexZ82AacNdWxjEktsD2ySz5Tvyr5Vf+jKsj/bq//4v/6X+C9//17eFm/RPGlAv/93/rv8U//I/90+Pd//v/557F8ugQUp1cewddPPS6Ki+BzOZgDHioiFCMdIXNZ4Dt781M1VLgqrnj2JjTL6UizMYp1CL2B42ZISx2kJz6S/Gvbr+E4Uq6Y6pQrd8cV+a7ZYVVw6BKBNI2H7gGX+SUSyQTbxjC199gdWaxNR6iemuRtvQ2flW2/5bTdUs5jevLD276Fk8SqGWMQqQh60gEbCgXshz2qqcJMz9Ba3h2LZAETm9DA+gbHf8Ye6ge8PLx8p/k+x6DfV/eclkYcvmQqC+/lZCfkSR6Mp8A7I6FnW7dji0N/QD/2/MyaAft2j4viIgwd7qv7QDPzd8tCkWjRtjTR7/s9IseCa57NMUtmgUrzpnoTMJCj4xAin1OiM5kJs2QGJRVuypuQ+zBiRKaygAxepjQDJ01CfJ/pcayPlCXBYZFwoHXoDijiAiu9+iQ8IM+xTJfha0onSlg8t7pyFQCEHIXRjkhditfTa8SKw4FCFaEYPrQHGGOwi3ZhUOZlmipS+Nz6c0jSJHjMfNib38J5X8RoR0RRFL4Pj2LUkcau2fHnfnyJ0bB48z+/Rcz3f9fsULfkhR/tEe3Q4tAxuTfVaRgOeQLNOI14fXyNq/yKBboxeOgesNCke9WGtLpVuuLAcjIBIDDYAYlgGqczDmYwqIYKHTpsxRaFLXAYDlina2QxDdD7bo+r6Iq4ynQeahmAieI+byRWMcqRIXtf35CoSGEpl1gkC/SuD5QtHwTk05yncQqfzVjFyNIMEpLBkWdstU8s/+jwEUY7cmt0Jgd5X0k18nMgQD+bTnVIOwcQ6gcDg9vqNshZ2oHIUKfe+REaQwiCpzpFivebsIJghOEUDNGxIiZWjf8/KFmpe3Y9qX4X0e01R23fErEUSSz1EnVf4ysPX0E1VshVHj7ss3iGXOdYJAs8mT/BrtsF4b4xXNs1E6fhsYqxkRskOsGxOTJlLqLRYdfuAu4mRhwmzKf+hLinpMRzlL0+EgAOhuYgb+zoJ+rqLvUlu/2zwfP2dMuEvrMJqxkbNEMT1loSEo/dI2REtvnkJpiJEwCf4DdLZtRrw0GdVJi4fz0qsh1bbFJiF+Mkxr7fM2HL2iAJ8nIezyw3xmCYyB73a7S2pxGyGTgJviwvORFvd/jbu7+Nt6e3uCqvArXES1lKTe77ttkGo2Q7tSE5zkfretb0MlnCJjYgLuFAbf05Lnjf7GlkPTNWt/UWp4FBHWVSonMdnHTQ0GHdt0gWxDw2jzwoZYRc5RApCRu96dE1Hbq4wzolIso6CyNoZjp0B/ikr8FS5mMtzbQYuaafx/z6TvKEUpd4MnsCj6ay7hz0cTbe+obKOgtrWJQPltKJfuzf6URxZlNbh1RzopLpjFiuc5HjNaKTnZDrHFflFY7tEa+qV8gistDX+ZoXXX+EEgrvz9+HkDw8PFZRSx02D1KQsx+VERbJAmVS4rF9ZPKfMOgNAzg2GY1KcpR4Nb0KWEGvCV/mSyLnwOJ1na3x4e5DotCKy0BMinQUTFcAsO22mMyEVbYi+edsdAP4dXrW+aW+DMbfxjR4aB4QgdH2Pg1xshNiGdPv4I7oWoaWTIYXpBJkVBcxtyrt2GKyEy6LS+yHPcqIKX7CMeQmUWz2xvGcFHkOhprsxFX48xzf/6e+H1/9q1/Fj/6HP/rZHKTfxOvL/+WX8eX/8ssAgH/pX/2XsHmy+cS/3+12iDacDHljp/fLDCea1f17i3NwZT9SU19HvHwlGBh1aA9Y5Sv0tkfT0P9R6CIkZ3q/BgTpIt3UUft7NptKSR2yGxwGN0CDGt+b+Q2EoF75vcV7SFSC++qe1Kb0IjyrSijkUY5tsw0Jt3VXM+XPkCn+3uI9rLM1BjOQpDJVSCxlNNZSonffcCJ/UVyE77ew1MQbGJy6E9b5GkYYmuXGx5DU7J97j2fzsfVacuXvqQ2zdAZr+Cy8qd4gdnEouhwYFpepDLN4FvjUm3wTzmvPnN41u6CB9rIOAxMyKXzATqIo/UgjashPwwlTx59rqlNcySu8qd/gWB1xVV7RrwRKEuIohrAcMrRDi8fuEYUucFlchk1VNVQhYEZLJnumKg3NViSJwvVFrN8SOzhqzhUn8DrSyCLq371JGWeiST3UMOpdAmkz8Dn2kjl/x0JwE+mN5Nt6S+nCnIbUQ3dAZzri9kyPZbrE8/I57xvX4zAc8Or0CnnELYixJmjXk4ypqL4J2uSbT2wYPbnroXpg2rIDYhXjsrjk9revg+nco1S9n+bUn0JC+CJecLNnp2Cqb0eGCp6aE1JJw/qhO3BCrwosiyVEJ0JypJQSk5gwz+Z4pp+Fr8f72FSkuA0fH4MvYxbPICTv6Swir7vtW1R9RUM/ZDijYxmHsKJu6oDZWWvubPicR4jwfPEcm2LDz+OZWNdObQgwavsWLuYd4TfcN7MblCm3LN3UBSN7hIhNmTGwoEnUy2fyOEfcx0HW4jfvLxYvEMkIH+1YyBvJ5tsaC0hg25Cm9WzxDM/nz4PR96F+eMclPwMtfKBYrvNQa+7HPR7bR95hrfnUZ/VnVpBncYY4j8NlaZzBY/2IF4sXWOQsqg7NISSdVT1Zoct0yQ4lotQkVkT/eIZnM7IAF5IpZpOlqaOfmMbW1z3u2jtizfQEpRSqusLt6ZaymTh/h0MSXM8/do9YNSuMyRgMTlLQ2X3oDuwYz8VEEReByen1acbxAPdot8kQW3UaT1x5nR/guqtZzMRrzOJZiHb3BqRDf0DVMUWwjBmJ7ZzDKSIrtpQl161n8sEsnmHfMcDFm1MEONm+KC5w6A64b+45obJk/5ZxyWTFA5FlApxm5SqHLohd2vc0zj6NnyISEXYtV0a5IvRfRxqpOyf7iYGSCufC9BhA0NRFIgryg37qYXoaTAcz4NE9kpMuSCLQUr87qM4rrH7quRaNzsSJc1HuI6qFEAyOsWMwHE1uwrbaBkNSMzDRzOPuPj58jG3Nf9/bPuj/leCkUEd8fwvFhnI0I5MThxrtRIRbHMWwgw0XPEByhXUW9w2NX2XMyN5YxSE5L5LU6Aol8N7iPR7GumRh6Rj97LFzSZRQvxqX2Pd7LFPKmuq+xqv6FYQT0FqHTYaBCW55n3QbRzFmeob75p4T5oiry3k6Rz3VyFSGTcEVq9/oZCpDklHX51nyHk84TANG9+578UWUECIwXeGIiPL4tiiNAu/dow+7qcO22eLt6S2aiVMar6OdJTOG5UxNaKiTiMx/nGkWo+F0zhu3T9OJSC1HnKqONDcIEwuqCBHXmn2FUfMsqYeawURxyijw81YsjVKkJc+a/CbHF/6RLwD/4Wd1kn5rr//oD/1H3/Br+Ywae2Pf4dKSKOEaeWzw8f5jSuZ0hMfmEbt2h66nybzqK+RJjmW2RDvRIJ/JDKt8haqrYI1FByLhBjcgFnHAiR07Tkd9IW4Nn5dlvkTnSMJZpItgAo9chFk2C5zuzna4yq9Cw96O79KIfeHqE4phaZbLdY5ds0MSM+nwIr9g8S1SKM2gl7Yn9WiYBqznayihKCE75yP4hOib2Q2b5pFT02N/ZMJvdkFiV3cMDHBhWSy0fYvjeMRlcRnIEZ6lfVvfYrQsgv0m1oBN8SyZBVNZqlOUCf0yZqI220slDt0hhNB4mogWfC59Qm4c0fhcddT9D4LT3022wXP5HK9Or9AOLe6ne/SuJ1AhvQgFtg/tA6gtV0phna3Dls8HI0khg1RSSRXuReEEtu02GO+9mfWjw0cQQuBzq89xKzCcQijQPJ5j33LApCR9Q03XwMAgS8jVBxA2pUIIbk7Ppj+fEzLsiaqLwMFAGZeIJxq7e0djZqSIQty1O6iMJdLd6Q5ZnGGVrQCBYOK8Lq5DcN5oxiDdbMYGj80jAE6RfZPgGeRvT28pjc34Oa2nGqrlYKobOm6OU2Yf+OTRTGchDdRFDkmc4DgekegEecptfwTCKoqkQNVzwzJP57hMKX99NnuG2/oWhS4wj+c4DDQLr+IVa5WzR6vUJfqR54BzpIf8wuEXUI1V+CzOU3rovEfNOEqdOtMxmEsyv2CezANC2IMbAAR/USQiZoUMNGf6dORMZ9SrOxuavc5wCLeIFyR7nZupi+ICzdig6iukUQqjTbh3Sl2G+kdHGvtuH5C6Rcph4bP5M3y0+ygQuHzK7CJdhKRgn6I+TiNiHWOZL1H1FT7ef4w0TsNWYDTjpz6fP7OCvBs7KEeQv4rosFaKqwprLE6OpIU8puj/yfxJmDb6QiCNuPbrhg5jwoKrlCW2ZotxHKmhPSdRSUhUfUU96zSgVFy1DtMQHO+jo8Y4lSkvd5AG4ywjV6WkbttPJo79EVXPQ82zdTEgGAXKpEQ1EN3o0wh9AXwYGM/7UHPSp2MdkgEnw4foanaFbuhCTK2O+HsSnYSV5q7d4dAdcJHTLSwkp3upSmFhsUk3JB9MdHuv0hVXdwM1salM0St2stZSt15PZDzbyMIMXO/kOoeZDK5n12GT4XVeRUxjqcc5xVP8zhzou0spw8/eWAMpZZB2eLKCl0H4dWCmM2Tg5FcIHqhFROlBOxB9VEum0C2TJSIXsdibuLJOdfoJbXYRF+hNj1f7V2imBqlOoRV/ltJJIrLiEkVC848vmt+e3kIIOttXGd8/T+3xkd2pSkMaaGMaDEdKY5JFEggIScQY73kyR29INMnyLKS1TYZTyWWyxHur9yAFEzf9YX9f3VOr6QQ8U1tKGWLJH5oHZIrhHU/KJ7iv7oMEByAedIqnQElohgarYoXPZZ/D28NbWGEhrYSJDOOUz5MIHyjhDyX//ErHSck4nYNQJqbKjRONREqqQEyIZMQC9zxlhqNmMpc5JVRSBt19N3V4fXyN2+oWmSKTPxYktXhudaYzzCRRZqf+hFa24X12wvG5Ozvea1cTv5WuIIyAESZcxg0anMYTjDHBaLaIF4giNpq9Ycz00/JpoCX4sIvH9hFplKJ8r8QP/pkfxPHjI/69f/3f+yU+SX/xr3/zd/yb+DW//tfg6nNXWM1XWG1WuFxc4vm3PSf+a+yxt3u8dW+xb/YYzIARI4PaTIemooF6mS2xztco0gLbmqSax/oxRE5DAIipVx3liIfqgUarnHHU7dQy8VUpXOVXHASc/Tq+iEFDdnWuc8AgPOf92EPodwl73uRVDdW7Dd3EM8k6S1NnqrCZbUJY2Uwz6Gof7YmH61lUTWYiF1xGgCGmLklosPNf9zANyJMcx4ZgglKXsM5i31A/e1lcInIRWtvymTnTsvqpD4OJPOH214fIAHzOvN+liAua7s73li+mr/NrDlLOLOzRjEFTX/d1wLb5abSOyBIvFM/DfbdnmI9g2rOXLEVpxOYqXWEYaeIukoI+HkGqCgTDmZSgsT6OYjb94BTaGzebkZ+RbbtFPdYBjrCIFwFlapyhn8cQr9eOLYEFijVCnnDYBLARaGWLdmgRiSjINKuhwm7cYRhYeBcxBymDG4LGV0t6D479EYUr3umWI94zAhzm7dodnGWt0ZseYhLU1ZsphP4VSYFu6OivOg/qhmnAx7uPSc0SlEUIQflEbygr6g1DC7XgJuHYH/G2fhvi6+uJ79EiWVDeGTNV2ziDt8e3gf60kZvwvtdjjShixoPXRdddjXW2DqbtaqyQtmnYgm3bLTKZfQIZua3pR8uTPJCaWsOcl0hEAfHYGxpvAcI0IsHh4UPzgK/tv4YiLnCdXYcQn68nonlPkPfy+SbSWEIBIhlh1+3oURIT+r5HHMe4yW/goQGjZUPXTi0eqgekMZUEgxne3TFn5QXAaX6RkIjypnoTTNW+eduUmzCsGuwQZNH1QE9ILGLWbed7AI6Do2ZsmAp7Tn/1zeGneX1mBfks5ZSrmqqw6p7HXDvUU01CQ76iJvts2PTmOCe4AvOas8fuEbGK8aWLLwWuq3U2SEMylfGD0j4gloycv5nfkADgSOso4zKsolOdBlNJrnMc2gPeVm/xbEFEXOPobB4NjTT+wyYhw5TGMzU9kD6S1JiduhPu23vM4llwO8NRCpFqmi1WGdNGt9UWgxnwpnoTporhgDFDCDnRkeaq0w4oRBEMoDrS2Ld7XqjYh4hfNAwQAICZnmGRLnBoDyjTMjQVXpsVRVEIKBjBTlo5BaEFo50lHd04owZbtCF1zGvpBzOEohDgdNxf0B5d5Vmu/gE/DSe+p2fHPcBEvWqqOAk/d+b1QFh/N1HaYWBwWTLedhj5/mSLLMSde52YTxYtEk53l8USx/GIx+YxcLEX2SKsyG6rW8zSGaf5UuBnH36WejyVQAkaOYUUWOs1jOWheeyPWKUrxp2fv38VsUjNFN9TbZlot8k2QTK0zJZEc4oIy3QJ5xxeHl+iGzvsuz1uxpuQmrbIFgEH2Q5E+TnncFFchERF53jhT5bpkt1E82kaMyG2HVkIZVEWitljd8T7i/eD1l0IuvCrvqJP4Jwgd1vdUud/1vNZZXFRnBnN6RzjxPAYYdkwVCOj0OFoBFtna0Dw8/h0/hTWWbw5vsFHh49Cc+FJEZt8g7v6Dk3X4NniGYQQTAQd2CjcN/dk/yeUshlnglZ5nsyDJ+A0nnCdXaO1LbXhI9NlffMyuhG7eod6qnGRX6CZmrD+jxBh223Rj33Y8kxmwosPXqB/3uOH//wPI3UpmlOD3/kv/s5fwhP107+++jNfxVd/5qvf8Ot//Mf/OBZPFjj03AKqSOG6vMZu2CHqIwZjRZyaK8lAoExR9+ksTcbNyMbXb8gSmVAqcF7ne7a0lPz8ThMRa2VKj0FIY+0a7Ns9du0Oi2yBG3mD3vTYtbvwDE+GZ8hkSXZphoYFTTrHqT9hrcjfX6WczHVThyWWNJV2NjScfqqX6hTDyMCbZuCWZteTbV6mZZhCvzm9wWRopMzTPEijfNLfZCeeUSNTIcukDIMIz2/uDaPbjTN4bB9xlV2hjMtgFJ1n5LVLyTsm12RDj2YMOn0pZDDI7vt92HqUKbepr4+v4eQ7v8pgSRCZp3MoMDjn7eEt+pGM/wgRrmZXAagQgTKFTGXh63fWBd+JD+cRQoTwn8f2MXgR/H0FAEVUoBc96qkO3rAn5RNOn02PbUO5jw8bU0phnsyDyf7QHcI9+AvVL4Rk2t70ODSUkgpwiDOP54EH3k9s3GbJjGmrI7cIPjioVCVzQkZSOQY3IBUpns2fhUZila0wmQm5YiCOlDJIc/qpx2P3yM+SHVHqks3FRL55ERdBKjpLZnDChTyMTGd4qB7Qqx7DOEAphcfuEbNkhnnKQKRIsHi9EBdIYuqefVZHqlM44zDGlGZd6kus0zVuZkwgPo0nqIa+GAWFl6eX3Jird2hlgFv9ZiKScJITfX5n5r/Pz8h0hteH14DgBiCOYpq2hcPTxVPkDZPDO8PnMM3fSZaaocGhP4SAu0xloTC/LC5xGk54bB/5/LsJRUR4hoXFVx+/Gt6rTGVYZAvWN+0ezxfPUWZshBfJglugoQoDLRXxe08kt39lXHIQY9oQdOc3GZ7r7xvfZbrERXmBXb3Drtuh7uuQ0Pl8+Rx5nAfaTIz4U5/Fn1lBvkpXECn1T1Vf4Xp+HaZQ9Vgzfc8ZPDScoiineACCIQPWWSQiCSSMPM4DsnCVrRgipHPcTXc4jIxE7cYOHUgU6SYi+0xvsKt3OPQHondGFtYm5hTNWmrtUp2G4tA4pmS2psVVfvWO6QuaEoduQOUq8s3PK9LJTjh1JxaaQiGNUpwcQ2ImcKI+uQl2oMM40xlO7QnVUIXpoRIq6C+14pTDDnSl+w9VJKNw0B+7I7nscYIn2ZNgVHyyeIJ5N8eb6g2UUiijEkmUUKeeryGOAnXKyYqfynttmUceaakxjsSCKaFQG4ZKzDNOuzrT4dBSZpErJtGlmqE/Pq3Ur658IwQgOKeTiD9L7wnYt3tOl0SEKIpC7K9xBqtsxRCK8wPqp0WvT68hILCrd2RJj5RtXJVXmA0zTp50SUNORS3gvtkT+RTF4QIcLeUPp+6EY3xElmS4yW9w394TmXWeuiWKaLhJTOTdmwmLhDrAwXAi4bn0gxnIMk4LzDDDQ/NAo61+xw7ONSdC9VCH6Y73TfgGpJka/lqcI56x+dk1u1DYz+M5Rjfi7fEt9dNJwWQ/lUIIga/tvxaK73k6p67zHFTkQ4msZexwO7XERqY5HBwqkOjg8WeLdIEJNDrlMSff+26Pu+YuONxzlQdddxEVgaxjHbFqzjncVXdsCM/PgU/qO/ackPvDUEV8HoQUaPsW1pC/bToT1o5RxEYkjVMkcRImWVawwG7HNuC+LnNq3R/bR9xVd3g+e46r4oooSjNQO1tTsqGUChNGr5021mBxs8CL1QsMbsAP/2c/jL/1//pb+JF/50c+kzP2CwBmf49/fwLwjWX4u9d/8H3/AX7Db/oNuPmf3CC/ypFLboA22SYkWXYjqT1OcK3djA2N0MUqeHcKVSBSDNzx25TH/hHtQKJS3FMa5838vqBLVIJZPMN9fY+H9oGNpGCqrPfEPLQPAXGnJRFuvunMdY5FtoBHuvnmFEAo5nwBOZoRk5nC2ekTdZfzJVNrkwLH/gjpKFU8tiRR9AMjzSdHikyqUhrOpw4xeIZ0hgxvzyAHKK3QUoeixTiDZUYfhhYau4EEq2CWh+D0zlpGqpsJTnFa7s8VX6jUQ41SlzjZU4iA9ya6hV7AYyYHOwTsrJkM7ut7HIYDNcTnn4O/74wxJKuc/xkC2Hf7ULg0YwN90pSiypgeqI7PbK3qcIbEUczn1/YBP1lPdTg7veTROotVvEKZlth1OyZKnwtPa9k8XWQM7jk01FB7YoqGxnE6spmfJE72BEhOSyc3AZKDKAmGm53GE3KZw4gzy71/l3K5zJb0TsTAuliTWDaNkJEM9Cop+H0JkHB17I4MxjEjdmYXUJbCCRyaQ9jg+q1jJM7YRE0y1a5lRLuUMgAk9g23Nr55uSwvkcd5GEZAIGBHPVxBKYY/BaiC4zb7i5svQkrWWapXmCUz5k4c78jVdvS7HfsjNDTe37zPSTNGSkrMFDb5rW2xTJha2Y/M4PB0JSEEWtNiW20BICgGPEVpdCO00DRCn/GrkYyY7K1nKGP+fgnK2WZqBiMNdv2Oz4Us0PYtDCiP3Hf7IJGKozh8prznb1tvcegOyJMcL1YvIBxxrUpSquafo4VmSFgzNWh6+uj85y6LmSkDIAQy6kgzEdQSFYpPr1j57Apyfwj6IsF3vwaGKLSRl+A4kgvru08fmf7YPmKbbbkSjxlscFff8SBWeTDDTeB6yepz/K+KiCsUEe6qOzxUD3jsHwOeDQUxatt6GwwHkWT89H7YozUtEUhuCkgpbwBrx5YPqJQh9lxJhSqqGP0+0pXfGa45jDMBBSUkET83xQ123Q4P1QOT0ZQOmtfBDPi57c8BAKc9oJ5xHrN79augRjSBKDOZCdflNS7LS/7ApUI9cIUKILDMb+Y3iEVMfE8kkEky2C8LJl8OlmmG1lnUfc3txHhC13ZhKvVs8QxrseaHOlmEqW07kTXf2Q4LvcA8mwf2cTM24SD2QUESMmAPPd4oVSk+v/48TsMJ48SLP5PUI786vIJWGi/mL3BVXtHUZGnSnGliGSMR4dQxSSwCDVD1xLhsx3EK+qFnF68EmrpBL3usihUSwUPRBx58IfsCPnf5OcyrOdfslsYpIc48ZjjczG64CgYvfC11oCb4VEsDFoeRiLBO13hbURpjrUWp6T6fJoZszOM5HFwwRMU6Rlu3ODUnPJ8/h3GcuFyml9Sht4ewFk9kgov8AqlOw+rUWpJ8hBNYpUQbemmUX8Xdnm4ZEpRTQx4jxtPZUySKOvsuIl9ag0lvp/EUCmnnHKquIjNcZYwVFzS75VGOxjWYZTNopVFqUmfqrsZ+2IcY5SI5Jwqe19lS8P3oTQ/bsvm9LC9pBh56NK7BoT1gkZEq5E1063RNj4Eh1lI4Tmn2/R6JSmBBvOY48WJ7bB6RRGwG8jiHNpr0o/P/jDPIRQ4LS276eZJfjRUym9EwLmJ84YtfwNMPniLLMvzw9//wL+n5+gUAf/ub+H1fxN+9KP8b/83fwN/4b/4GAOCf+i3/FL74P/0iCl1gtVghyiPY2CK7ylCiDHKs0YyoR6ZK9obPkxMOsWQT7v0mZVyi1W3wAERRxALAacxyel+8qXcyDHIrk5Lrd6HC8x3JCB8eP8R1do3r2TXUqFBNZ9KL5Gfbn3m39W2QR3iqRjd1qAdKmnKV4zSdKFtp9yyIDI3SkTzLIqzBfXNPVOFUhxwCH0vuMaNLuaRm2Q7Qjg3LulgjVjFenV7RbGo5HYYF4pj4uoviApucplvpJKSQIXE1iZLQSBthAlvcx4prqeHgQvhJO7YoNc2AVV9hnEak+bsz4DRw8+Xj67upQypTaNBL4b/vUpVQSw6qfKKvcTTrlXEZNNPHnpPe03Titm4kfOHQHdBOlDz0Y/9u4GbfGen9FiWLM3R9R0O1YoH99QFqfjt6kV1gkXI7mMQJ5tE8aIi9WTCVaUhOLlQRML6ZZHpoqlOITsBOFr3uAxHqsXukpFGmgRhz7I9ho9eZDoUg+jdNUrRTCxWxlGqGBs3IDbntbQgf84biYRw4pT83icKyaI1ybtDLpAwJuP3Uh2TkeuR9WChKhhKVhPwNb9LMVMbBg0xgBe/pSEeBxKalphHZGrw+vKYOWi5RJEUgmw12QF3X6IbuneyzOfAeVAlpds7goX6AihSkZSNonQ2oWi00ZukMF8VFmLrf1XekoJ3PextZnNoT3nZvSXISimmihvdbEidsPnWOUhPB7ODgJDc6sWQGgoFhInBEn533gpUxCUcO9J75dPVFyrok1zm38kYH1v7L48sQehQJwiBggHk+J2HnnArajR3lQskGTU9cqoUNd06apN/CSf3J1y+qIP+hH/ohfN/3fR++93u/Fz/8wz/8Lf23q2yFIRqCScWjr2bxjEXlxCCLCRMymWHbkbsJRzd3PdZYp2uYySApkmDkgAOyIkMapTgarhDaidPji/ICoxtDR+QPkXW2hnA0WVrLX89Ayss8ZcS2lhrOOsQxNXIWlrrlc8T2k9kTctQdTTk+BtjHFXcTeaMykhiHMUx2ds0OWjNy3qc6zuIZBjcgkxmDkUCT6XEgzcSv8TKdIZqigJ3yEhg/1fb89nVBjnAkI+Q6Z+c6svDatltKXETEZC8rsCk2cJZxzp4qIZ3EbqCZS0gRNIPLlGauXbODsJzizDTncqt0FVbYFpYR2fkqpHH6iPRTdwqXlzd49GMfpped6cJ/l7QJvnL7FSZ9JpzGHrsjns2fBbya13ReZDTTbNttILE0Q4NCFbicXcK2NItkisas2tSABRKZEAmpaUwSkYB0XHkKJ7Brd3iinqBMS0Qjw5YciOD077GKVFjz7ZpdKPj3wx77hluLQhVhq7HKVtS0nZ3xqU5pFhtIS/ETukKTEBJNjCs3zmDf7rFIFwE1KIUMsp1Mn99/Z3nBneUtp/HEKOhkQbRod4SZKNHyGxmvNc9UBhUrtLaFkDSnXRaXWKZLHDvyfKuek49FssA6J9fZBxL1pseLxQtSGs5oNyEEiqTAMlkGH4iIBI3ZaMLkoZ/6MHU9dAcyy60k6zwpAuPc02O2HYNBDtEBe7XH1ewK1+U1TsMJ63SNWTYDLHAcj4yi12ngpXtUqk/QrYYKD/UDZuksbJwGO7D4UQzeEKBpOJYxnpRPmHQ4dpgVM6RIMU/m+Od+yz+Hf+jX/EN4+dWX+IF/9Qd+MUfuN/36e03GP83v+7E/+WP4sT/5Y9/w6z/wp38ATz54EsKDOscmz29ZlOBUM9EJXOdQjRWezZ4FWlASJeSaDw1WeoXWtWjHNkxpX1WvyGFOZkz9TSkt6toupD76O6EcKM24Tq4BQX2ql/Tdt/fhOQUol4qiiBQFKYIB0cvkyrRE3ddBbigEjZxJlCBPchSOvpl5OsepOeGhewiNg5c+LLIFjh0btlk6C7Qh6STeHN5wuDSckEc55EgEXCxjqEgF0lckuObft3tKIM9ox3pksNUyWwJgnLcP+WpHSn98joOOdJCTtFOLTb7BJt9AQeGjw0fYtpxgKvGuEZaRRBqloZixhrkTTjgcwam+D4LZtTs45zBLZvi5h59jUXROzs5FHpJu357eMnI9WeCheQjkrTw5o3E1N2Z5SrlZ3RNyYMEAMymYourgQtrvcTiGz1kRFzRqCw71RjOGwtvLR2fxLPCwF3KBTbFh9kjP99MPEDLJ+7+3PTCBskuZhOJLa26K7+o7bj7OybDVULEo0ylGN+LYHnGYDshVTt/O2GA0I57M+cz0hg3K2+otP2dWwEkOIMLPtTcBQ5lGKe9JGQXah8f2daZDjhxZwjO/0Cy0DQyzWIRFpuhZyuMcT+VT1GONQ3vAV/ZfwUPzgJmeBdnwMlmGInclWJDHKqaX6xym5nHF4vy/fmKY4ybahHRb6SQep0c0aHAZXXJr7re0UuChpvfJc8YznYX7P0/yEEjUDE3QsPsE3EW8IE5XJ1gmS+zaXZC9AghoY8//9+hDf285d5YZNY94PD2GLfUqXwEA3MiCPlackMcpN3E+bEg4AdOzxhgmZotg+CYP1b/D61MX5F/+8pfxIz/yI/iVv/JXfqr//sXiBeI85qTkPEGdJTNUfcXkKMcfVJmUUCkLkm7sAm/7+ew5ZtkskDQsqIEdpgF39R2W2RJPFk/w9viW6638gp2X4w9h225RdzXeX74PAHg6exqkFsf+iDxiDKyUkp0SGKZjnEEs44A8Ms7goqRWN1EJppFrnLpnQb7JN6GYuG/usck2uCwvcRyOuK/uIaXEdXQNLTVatJjcRD3f+aHpDA8JG/FDP4tnYfXWmz5oMEtdkopgGpr3zh2zT8TqTY9c5iEdczITmZoxo+G9Bq6zLMKu59dwYOT6fXVPDfl5rSss12FfH1P/YvmCX9NZ7+1fUkg0QwOt6PDHGXeWxzn6qcer0yvc1/dw1oUYYyFoWExVyqhtlQWZR93XwdXu8XkReDh9fPg4MGZVxHViPzIcQca8YLIsQ+c6HNtjcHnvauIy3UTTMAQwy2dohgZ3pztSJBImQkK8Q0ZZw1j6F4sXgfTQjR3yOCfyLJ4h1jEeGrKb26ENU+hltsQHmw/4cJ+NI2XCSWMzEZWpIzZqkWIg1CpfoYyJJfSMc2+uLRMaDY/9EUVcYKZnmDCFNdxkuS1IdRroMt3YwUgSgLwWV0gefM45GlRtg0N3CH/frt2FJjPXefg5eZLLOl9TmjWSkDCP5uG59bpgCfmJlMZqqAKj3xMJ9u0eg2OkuJJEQg56wL6hJyLWXH0/mscgV+gnRk7XpoYYBVziUPc1ju0xpOn5FbsbuN79+gvF65DjKCZJI9L0hJyJMIlOgAbU/iuuZTf5BvcVo9/nag4tNGDB5kwxkttZh/JJiV/7/q/FH/vxP4b9YY8/88f/DP7Kf/5XPtXZ+T+m193X7vDi215wwzHVSGWKPMkDoWiZL8MmzMJSQz51oThepsuwoXLSYRVTbhirc4KxAzrdhUvcb6O8RKPQBRbpIgSVzOM5Zik3UK+Or2iWPoeheY+CpyEt5CJsVH3x4JssHy7UjR0iMNSsHVp6cCImy86zOYwxZEGfNenDSJRivIjhJhaOfsO77/acriYFk2sPdzT+xYYDnZhbl127YzHlKE95Nn8WNg/31T3qscZVeRXuNAsb7oS7+o7SlTjDIlrgorjgZ1tyKLJtWDicuhOsIM51nEYoRXmiVtSiX+aXQdJRjzVGjLir73BRXEBKyefadDgejyQoCYV9s8fXHr+GAQM20wbOOTzggdpc8Lw2qcFFTs3xh8cPscpXlCqcDYGrdEXt/jSE9NZIRixYEeG+uScfXcU4tAe8PLwM2wsHInAvs0vsuh0aw/9WGgIdPFIxiZN3k1KZoxs6vOnfUIJzllUWcYFFvEASJcHc+WT5hEOkYYRwIoReqYgeiFN/gs/aGMzAzAuV4VSfsG22TBU1Ha6yKyQiYdDPeZDz5vSGkhsBvLd4D0/nTwEH7PodpJO4yKnBL+KCMt+uYsoxuFGORETUbsRJs5eDjoafD6mYht1OLcEVqxS7eofjloFKk5koIz3f6/3UE/17lo36xFQBJnRLIXEcjxxuDEcIR1Z7LONQAE+gt64354DG0aDqquD5kJHEVXEFLTRxj9MUSFg+4MdZh4f+gXWFAL1uSRnQnT6k79ixMTv0B7RDGxQYx/4Yvu5+7Bn6l1B3Xk81fVk9cZLGmfDn7ppdgAS0EwlbxhrIXgbpld8o+IyaQb5Lmf20r09VkFdVhd/8m38z/ugf/aP4wR/8wU/1F/emR2TPgS7dDpflZZiGJTIJPORmoLngIr2gue3wknpjx9jUeToP0gZoINU0nnm0zTJbYtts8dg+MhlR0IT04eFDsqDP2Jxny2cYpoHs17N+e5omFFmBPGFBLiDgrAtkhzf9GzxbPMMiWQTHfSQiLOIF6SZSoRorPDZMd/PYqlyzO7wqr1CNFfbNPkwkjDU4jsewtocATuJE8+KZ8dq6FpkkY9XrpXwy3EZz+mEcp527jnpiH8Lii2jjiHu7Kq6ofzqbNWIVIzVpmMouU5qe3jPv4f50j587/BwlRef1jI40FskCm3wTHMdeO+pRZNVQoUARqCDVUCFqaMS8Pd5y25BSh+aNVZObkE85npSk6+z7PQ7tgWalcyLYRXERpnG39S0W6QLz+RwS1PSfepIR5skcZVJi3/JCdHDYui2lUvEcQzLgNJ6QxRnGngKwUpXhEGj7FjM9o1ZPctPQjGQs5zrHXX0XAo1OI30Cmcp4CFlDuYphWIESijIlO+AXHn4Bx+IYTLhem6mEQju0OJpjSMC8ml2Rpy4oweimDiIWsM5ilsxYsNoB99U9pnFCEzecThYxYh2HJsgX1p7Cs+/2aCZeXEoo3FV3/CydySrLmLrWe3MfNKd+2qyVJm84JpbRy6uEFEH2kkRc+Vd9BSUUltmSmniIgA8bzIDrlFNNHwgmpMDXHr+GyU64KW848RyJbjPK4K65g7UWs5iTx1NPKpMnUbiY8dKJTvBQP2CZLoNPoR7rMD2thxoGBkVUhGfu1J8wjRPyksbufbuHFBI35Q1RYDJBa9qQEnpVXuH2cEvzqaO+tB5qqIkBXMN4biSjGJtnG6iNwm/6bb/p/y8K8j/8f/jD+L1/9Pfiu//x7w6ceE+d8tuuRFPON04ji96JIVWZykJh7ZQLpv1VucJpOKEaqe9MdIJxGMM5542Sp/4EZx2eLZ6F9ECfaZGoBE9nT8mLPhsOPT8508S7+nTbbuxYBJoh0BuUVCGkpDUtCsFm9aK4QNRHuM6v6XeaiOx9Fj2j70Jwajq5CU/mT5hjcE4lNpaFyiIlsu3Yk++tFU3xfqpcD9So5ioPDHcvtbkoL3BqT5xkn3n6k50wYAh0k3HklnaeUOYWyQjtwOTdXbMDLHAYDkGWFRURirRgHLxjsTmakT6BocJkGPS2LJZhcghw2OKRvE3fMFMATPXcdUy8rsYK82TOfIyvy1eQQmIez0NA0ipZQSkWtl7+t222jLA3E+4rBtRppQMBY9fswmTW54Pc1XdEIKuUhBlwWJUnOeWvEaeqwgmchlPwbs3iGZYpA9P23R4fVx9zMm8MpWhRxubA672Tc8FekHiW6SxsfY4dA+iSKIHMJK7kFWZmhrZpUbua6gBLY6USCot0gW29RTVV2JSbsB1qpiYQcnb1DlZQ6nVdXmMez9HbnptFIfB0/jQkj8ZRjNNw4rAkOtO/QC15NVQoyxJ2Is7VN2E3c55tve0JXACpJLkgTnHX7PCkfML6ZKB85+tTyx+bx5AP40lZHoe77/YYhoEp0Gf6Ua45HFRShQBIz5n3ZLzBDnCjo/Q34ebqsXkMwVEeoQmQ2HVf38PB4dXxFaywbJrSc7iVozxqGAe4xOGyvMRiWoSvr5/oAfShWs3UfMLPYJ2lDOo8fLLgtuEivwjG0pfHl3h7eovdYfepz9NPVZD/jt/xO/Abf+NvxPd8z/f8fQvyvu/R9+86huORcP2vdwabxuC+ug/GiMEOsJJhNnAIxbGxBrkiBvFidoGr/AqjHZlIeV5zpCoNzEkfM5zpjN1VdwDAIikFi04/HdNCQyhORiQkooi68FW8ombP0XFbjRWanvxjnyC568hBLhOmonnEHoCgibooLnBVXuG+uUc3dEGrVOoSjWiQRik2+YYmtJ60AEigjGhq6Vo+eF4nN5vzgyYhA4M2VzmuiqtQHPsI30NLDV8/9eFSO/WnYGryKKYkThh7rXPsOxbAs5QHlde9XwwXDHg5a/FvihtMmELinrEmrBi9NtN/0HWkuUp0Iz7cfYj7+p6mI5UFfV+hCzRo0HQ8jIwwiBGjNzz0ZMeix2s3VUSDrJKK+re+DjhDzxL1DPfBUL8XyxgX6QXpBudo5FKXKOMyBDDsB8auL+MlRjEGnmkWZ8Hh/VA9hOmE58476+gYF1GIsq/6CtJJ1JZfWxEXGO1I86KdBRzUYHhoRYiwzJe84KXFMPBwP40ntHUbCut+6oN8yE/VD90BjW4QDUSWxRGn+gIiYBz7icFB40R5y6E9UIOdUiry0DygmRo8KZ9AChmkV/OEtIoECYlFUYwPVh+wsJkG5CrHaCnR0ZJmVL9OdWCzN5kJ0zShEgz5Oo5HcvWTMuj0daRRokShC7yp3gTK0DyeY7PZhICrt/VbOOHCRDWLM9R9jSROsEk3KBNy+b1fwU9KRjOSdHD2RLRDC6vJ0ffmOeEEjDHQ0NQ2WmoHr2f0Y2yrLfY9cXGJTICIPOnL/DJM25Xk1LCaaH59u39LFreOsX66xr/xJ/4NuMFhrEcc3xxx//P3+Om/9tN49eGrT3Msf2avf/u3/9v4s7/qz+K7/tHvwq//7l+PX/fdvw6n7gSpSFCqR24LA01lbHFVEKEWK/pH2okF4yJdBJ2+dRb90MMKi0IX2LW70AQZa7BttrjIz6Snc2ql5xhHIgpr/3W+Dp9Bay1UrIK5c1tt0ZiGxj1w4+QNdcZSNpEnZ2bxueBPxiQQUBwcXMopp7E0Mmqlif1r2QgMdmBzBsq1pOSz+3TxlEmXoLykH3ossgXPga5GUrCR8f6dwfAZk5Ja7hIsiOqxRtd3OA0nSCeRJVlA5O3aHQdN/SEw5GPEIRCtmzr6hCKe51VfUZalaA49DSfkOsd7i/dwPb+GFhr39X3QaScqQdNzi+ZxidZaNgxRESSJ0klssGG4jgC3lXGGQrHR8XS0NEqDtyzTGa6KK+qfI42r2RUHIUOLKIqgtYYbHe8unaAZG0pUziFEh/YAEZ+D6ITDNE1hattObcAhJzqhdyxSKHSBWcZAwduaoXqbfINIRAFx6z9jl8Ulp+Pn7Uqq0oDc8+mdzdAgL3LcNXeIyghoQfznebDja4skTnCaOMy5bW7RW26/1/kak51wV91RalvSO6MzavBNSpmSFBLzhCjHj/Yf4dAfwoa50AVmySygZw/NITSOsYop7+2OxCCfJ8RFUiCV53v1PGBzoORsGCmrXWZLGu9VRo9Wf8JD/UDKluaA49AfmHGSZBjcAGfYGFhrA23Ib7rKuMSm2FBqNPXBt6O1ZoEsDFb5Cu1Itnwi6eETQnBb4Jg18JXtV2Ctxbetvg2X0WXw3/mB4zANaGTDiXp74J9x/t+xO+LO3CGV5Ipv2y2O4xHOcEMyT6gn3/d7tBE33Zli8reSCvN4Dj3Tn/os/ZYL8h/90R/FX//rfx1f/vKXv6nf//t+3+/DD/zAN+omPcO0TEqsshXumjuarQzNjqUqkeUZ9d9KIZVpMPr4iHdfkBqYgLeJJA1yPqksiiImdo4N0wUlXfJFSkdzO9GoZ50N6/NTf8J9fU9Ti4oCA3l0TH6cwACVTbFBpjJ8uPsQ83SOL6ZfDG5+bySysFilnCr44rEF0YiPzWMIebjILjDP5kH7LIQI7v4InLIYZzCP51gki7CeLOKC6Ki+Cp1gN3UhSaseSKTwBr7RjSGQYxlTc3XsGKBUpmUIwRmmIRjqts2WoTSKpiopJLGBZ4aujnQIgul7du01eJhXXYVEJ+GQHOzAkIqzBjcTGddbZgrrriRKgimjHmqolFOEt6e3OHQHDBMZ36eOTcU8nSOPchx7UhduohtGQpuWWniMmCUzLJMl0+nMBCnPhbShkXSRLZBFGdqUBeHd6Y6phJLmKmMNJ1hwYW1Xj3VYuxWqAOQ5fdB2aHo2FZ3lSmycRqyyVfi+RzMyKMhadu1nSsWxP2KhF0jjNMQsV6LCrtshljGNZY7v12QnFHGBh+YhTIgm9w47ZmHx8vQSo+O0qzeMHj8OR2ol4wzSSG480IWVKMSZsGLexUL7CO4sznDoDnhaPoVSCnVfY4j4WZjchP2RfOF5zDW0Uw5tR5e7l4vs+z30qNHFpNn4ghmgtq+ZWCBdFBfIVY4JEySYNrjMloDjz2U2ziidDRErAAEAAElEQVQnO+uFYxnj5E4M1ogpn8o1MXSxijG6EYean59FtghF+aN5ZAMbkWDkJyu+qdURi/JUpZhlM1Js3BC8KPVYQzhOd/2U0lkiKY1jXHmucrxqXqE3PVZyhTzJ8cu+85cFOdcypY9jna/xE3/xJ/Cf/F/+E/zsT/3st3o8f2avn/mpn8HP/NTP4Ef+4I/gT/7ZP4mLJxfYHrbQmcYXPv8FOEGqRDfRCHxf32OezCkDtAYfHz4mzSjJ6B05bwudJvWmGRvMU8qfrGV672AGnAZ6IbyuerADSlmGVbl1FrFgo68jrsbrocZoRxy6A26bW8ABn1t/LhBEjsMx6GF946+FRhqn4c9phzYUPYlMSJlyBlfFFZ9vS/3yoT8gi+hRscaGLdLkpjCdPFQHjIqhMhLMRHgcHzEzs2BKk+Bk8dAdgoHbFwFKkPjji+jJTqEBeagfuHWOkjAoOE3UrS+yBUxNQspKrZiWKfPghakGwgheLF6QL6+LEG7n5aQAOeQeQyscJRswQC9I3ZCTxK7fAQ7YlJsgQXxoHxCNEVb5KlCkMp2h76j7nqcM+moGeggSneDQHLBtt9xgmj7I6yJE7wZMtkcmODgpdBE42F4+Vk91kE75JF4Hh1VKGV3VUUIXR0y7ttaiTFkc++LLORcMykVMCo73DyUqwXVxjTenN8FMXkYlHodHDjXO5vc4ioN00Fp60iYzoekb4mxBScupP6EZGyzSRdj6+mCb0YwBLlENDKl5fXrNBNUzU/2+vqep/iwde21esyZxbAqSKKGPQsrgDfMyLicc0jjF0/lT3OQ32A97PJ0/RTu2YfPkQ4KezJ7QeKqLIPVIogTFrMDr02uM0wid6EAI8wNDCOAivwjJup4dLiHxpnqDl8eXTCM/e9CSiNIyTx/rDAevq2IVENoet9uMVFhoqYkyTvm+Wmfx6vgKHx8/Dk24ANG8MViH7AdSghKZBGDAMqFi4FpfhxySXbvDYDl8u55f43a4/dTn6LdUkH/88cf43u/9Xvz4j/840vSbc5J+3/d9H37n73zH4z0ej3jx4gUABKfxKl8FMoZyCgpcbfcDVygZGCEupUSpSiQ6wb4hk3aVrYjVswNODXWraUwpSjdSK+ypFt4EByAA5BNQI3Z7vA1g/8fuEfOUha8xBp3ocN/e47F+xCwlIsgJxqvH6nwQWQENHSbjfqKRRElg2/op4SpbUZcGR17rGUzvNUtFXFBDBYtjy+JZRxr90PNQhAj6Pp+CtkgWIXDi0B1CzPpgmc65Spgw1rbUxPr1bCGZApbqFKeWASn+61+ki3faKp1ixLvJ4jLjOvMwHMKKa99xte/NiW3P/9ZPPYXj9xkrNlKeoKC1JuIv0iHJUQoZzJlenmStxa7ekRWfpchKpqn5sBrf5HmjnicmOMELcBiGsDHxEp1Ss0s/dAeIlPrp3vQQkYAYBAbQzKOVxrbekk6AE5qB76FHnCVRwsRHGWEdrzFOI+qpxqEjTnOZcpow2jFo5YIkxvDgak1LlJ7tkSLFttmiGzr0loWB1+od2gPDLM7xxJ3rUI1VkJIsskVYHd5X9/jqw1dxWVxSUtQ3mDCFYB4BEXwITvLgWiZLTiDihAmgyRLLbAktNGTPn1uiORkZ7RiSbZuhgZIKy2RJ87RQgcLQToy5ts7iyexJ4Lf3llNxP9HsJ/KYj+4YLp+lXkIqGWgFs5TPbhqnAblVj0zVzGO68q9n1yHW+djzz7KGJIFltiT9QmnIkUSgeqgDEzjX+bv0yLNmGQC3YxMpCtLKgFkd7UjZmnC4a+4gHRnM1VCFoLHJ0lvik0032QZZTPqMTxodDRND/+F/7B/Gd3/Pd+Mrf+0r+G//6n+Lv/pf/1X89P/7p7+Vo/ozff1r/7t/DY8Pj+H//4W/8hfwpW//EoNqzmbEMi4Dv9+nHjrLbYcxJhhrjaPky1iDmZphGBhQ46PIJajdTRXf43W+DtQEjxI0lmeQFDJI+IZpCBvTWMV4bB9xWV7SdzEStfps/gyLdMEsBTdQCqMTbKIN7ixlasbxnD8ORz57+QLWsKDobY9CUYbSjA1eVi9xmXPgcV/d0zwal5AlaVS7fodJ8O8/9SeY0oTz0z+rntrkg8l6y2FLopOwWu8NKR4PNb0rUlBDXQ0V5tk8mNFiFeN6fo27+i78Pgv6b4wxmKfzQHvyNKw44gbVh9NBIJgzJzvhZnaD03AKxJV5MkcETr9FRLndKlvxTpMa+3GPoR4w13PY2OLUn7DttlilK8QiRjM1gWZzGk84NAfc1XdBEuezB+IoBhywTJfB/JqUCe9XR7N41VdINcNjJDhU8hLSKIpCDoGKFNb5miFHpsOpPSF3eZDAWWsDQW3f7oP8wn+W4iiGFRZX5RUu3SUGO+CxeYSVFoeWA4FBsoCbpom1xDmdeoio2R6nEY2gz2KezoMnzFobNMo+OdZvXHftDpAIzHdvIBUQOIwHlFFJXbjlxuTUn/izEw6wvIduyhtcl9c0aJsuJB5rqTHgnOiab0Jo2mjGkKKcRAmu59dYJCx6/ebiNFBOGGtuoZylvPe+vkeZlHgxfxEoa36AeOz4jF8VV5RXOhuK7TIuSTsxJMEkURIKbT/YsY5yzG4ihEJrzU2Jc+H3lHGJTbZBGpE89Or0KkAhJjvhoX7AOI1YZkvMUnr3ttX2nbn2fCY0YwMdaXyw+gDbZvuJEMRv9fUtFeQ/+ZM/ibu7O/zqX/2rw68ZY/CX//Jfxh/6Q38IfU/R/Ne/kiRBkiT/wz8KAEIXGke8OD0iCI4djg8R0ZIri3bkpC1W7JQem0fkKscsnaHtWigoZHEWIr6FENhkG1hYTuN1GVIoc8VJQG1rxvpiwqEnr/yyvMQHyw+CjlBCcurmprAiVVIF41eqiD7qbBcmxb6L1pEOD26ZMG0tVSl532cslwCJE866sCrNIxao9US01abYcPpipyDHsRE/DDflDSdEQ42P9h/xkJcS+2ZPbWJM1mzTN+8KmnEIzUms4mCQ+PDwYQhH2jZbynbyFazldKdMShy6Aw7tAYlOaOaYhjAFjCKSSY7dkV2w6bhubnaoZIXLkit9H5DTTNRiz+JZWCP7LYaPON53+zBVTqIEF+VFWMd5Ok83kS+f6/PBeW5I9j1NgJGIMEtnYbXdDaSqFLMiTBuqocK23uI4HNmMWUZ0N6bB2DGAI7YxEwLBFNl2atGcmhBeM0/mIe5+kSxYXCtO1ixoAn3oHlChIoFkZHqab3ASmUBrpoeOE1GEkYywKBfUjJoGdVcTraaXwc/gQ1H8tNmvfQdHLvmu2iFNUqyyFRaKvPDJTCEwoZA81LuJje9kJzxWj/wsx446aFuHn0+uclyUF0SyxZTdfLT7CKOjGfnQHjA4hldtcq6qJzPhg+UHWObLIGm6b+7x+vQ6FGjVUFH3J+OAwVJahcK/GbmevSgvGCokAVggbdNg+PU/5zROae5VCYZxwK7fBaOWcQbHlof+i+wFHuoH/Oz2Z5FECc1/Zwa7R8kZZwBDCVpnaf7uh54pu5LPaQxeSp4B3E1dcP1HMsLT4iliwWAyITmMuCwucZFfBGlVnuRc29oR3/U//y78mn/01+C3/a7fhp/8r38SP/R//CF8/LWPv5Uj+zN5fX0xDgD/1U/8V3i7e4s0S/H5z38eUkhcl9ch+MNrpeumRitaCM1po4+sHiYG9bQTjZRFeqZxqBytYdP+6vAKN7MbUjmcDcMQb5IepgH39T0vehmjHdtAGZolMzx2j3h9eM1p69kU6SV+65z86W27RTu06EwXzL8KCr3ocZlfQguNaZwow4uzgNncNlsY8CyBo3/q0DG85np2DRUpbIoNDKil3mGHmZ2hGisUU8H1f6SI3jtvENuhxUPzEPwsXs+9ylbcVDV76ssN7zVfzPiU30RzYu43X7t2hyItQuGf5iluZjcBm+jvknW6Dia2x57hLdVQBXLSTXkDczTooi5MMvf9HlmUYRkvQ8J1M7GIWSne44MZUEwFoihC13eY9PRumzv1GDAET9k4schc52ts6y3u6juUuuTA7ayhX6ZLdLYjjk+wsW6nFk9nT3FdUP+vpUYd0bCaKqYs+hRqgM963ddsTOISnenCJsD7sDwRx9/73lMzTGe629kDsUyX2OQbfOX+KyFTxBrWJfNsjn7oGWw0EX146k6BWJZGbCI829uDDNbFmrXH2OLUn3j/xHPcjXeB990M9OTNkhlVCGePjs/YqLoKOtZYF+uge++mjonocNikG1zNrji1PkschRC4Kq4II+hrbNstjetpGbY5Ps/COgsJSZMqgNfH12R/C4VNypTRwfK98rQ3a23wBDmQ3mOdpRR54iDRB1OVWUm6mOVnwqd3CiFgQLLKMlm+C5hzYwj0UYIKgM523HoPXZCM+gl7ZzqssMJM05h8nI4MwYtmHPKdh0FrxW23sSYMKD/N61sqyH/Db/gN+Omf/uSk5rf+1t+K7/iO78Dv/t2/+xuK8W/mlagEuc3DhW2sASTXVL4Ai1WMMinJgW7uGVgTc2riNYXPZs+gFdch/URX7zpbI9NZcGwLS326iCkHcc5BOXJrW0ue9FV5xWL5vEIDqD0fLPXKnmucxpxMe4pFN3ZohxauYFHpY+F9AY1zKqX/Hn1haGG5xmrpevesZj/ZjVUMMTG63l8sve1DCicADHbAXM6D6cCvNff9HtfZNQ+MidMWC/4diICHlmY3AcGCayRPdp2tsc7WeGgfWGgMlAJcl9dcIwIhIKB2dUAxZnEWOuskYiF/aA8MCxo5xc36DHmSB0OGsSYw5/3UYbA0KPkoei1JXymSAptyQzNlnH9Cj5lFWeDAd2MXLiH/Xq/yFdPEpp5sbk1NNgQbEmcd7ut7VCODCIZp4HuTCU43zjHHk52AifKLWULKz77bY9/t4ekMvuCb53Ps2l2IlgZoYqx6ssplL8l+FwaykyFddZxG9BEPxCIpsG+5NlVSESlpEUKbQoyvBBaKDUBf9yHSexa/OzhWmqthKSWUVYHoADCdTQkVaClZROxX0zchfdZPJsqkRKyJgfIXnhQSWmnEiIMZzhfUfiqhJfm03sUfyQjXxXXQB3t0m3+ufCCKT0uLZQylVdAjZ3GGQ3tAPdZB0+tTRWezWSCvpCqFzCWG0wAZ8TL1IUsGNO74JrtIKUsyllsh3yTkMWOkl+kSpjWQWtI4rXJq2k0TNL2pSpFopsE9to+8pHUZirHekEHfjR3WxRq5yvHYPiIuY1zkF6Fo8UWng8Ov/fW/Fn/k//FH8M/8un/mmzpXT9/k+fvN/r5fzOvf//5/P/zzn/vLfw6r5yskMoGM+Zz1U4/jSNncUlGmdZpOiEWMVbLC/XgfYthfLF/wjDjLVZTgeZHIJMisHFyQDgIMTPG0pW7scLIn3DV3gEEwQ/tpvVIqbBMFRCBZRJLEnNfVaxjDc9TztxOZsKB2/CytslUgEfVDj320h4aGdBIfHz7GOl9jHlO68Pb0FrN0hghRYI1bQaP2VXaFeqyDWXmVrQID/bK4DBuqbmQTPUuI9PMylofmAXVfB753rnIG2hiFbugCCCCLiMIrFOWRKuKGWkIGGVBvetwd7wKcAECAKyzSBUlcp124tyMZoTMd9s0eWmhcF9eY53NkUUY6hwMui0uMlr6jRUIsoxYaohBBq90bDlPu63vSr9IZsjhDYxqIUbBx6nsmaqqU00pF/9VcM90y1zmqiaS1Z7NngcLjee+P3SPpYRBs4Ab6tJxkCFaWcEJ8aKmH9gbgXOWIY5qYfTz718tJNoJ3lZe5VEPFYRR4x49mZMiacSGB1MGxKLTk8lddhc+tPodVuQqT6lzn4f3vpx4f7j8MXiXvEYoiAh588NqhIxWumzpqt89b9iTmZneezCESgUxn2Pe8r57On+LF4kWQ5pVxGdLPYxUHAtUwcfsvnMAqW4VhWCS5GfYSKj95no/z0MQBhCYkUUIzrGIdIoTAXX1HCst54zUYhgv65Net2BJXOdLf5g3G3muXq5xp42dOumeF+2Hq6HiXdRNrt8ZQ1lxNJNhkURaa4Wbi9lcL+tKcc+G5FI4EF78JExCf+qz8lgry2WyGX/7Lf/knfq0oCmw2m2/49W/6C5CcYPkO33dFF9kFi6qJ0aqrfIV9s2cHks0xmSmYCWbZLFxeOmK3N00TyvgcUSw5Ca6mikEwAxnbsYoRGXa1czVHgyaI/0ODcMZalbpEa8hMT2I2CQACsifVafiwSC2DnGDbboMr99SdYGDCQ1KqMiSX7bodNsWGmvChZnRuzMlgnuQ4deyAW9Ny9aZStKaFBMNSHutHrlOLTZCNzOwMZVri2DG1LNc5tXwGyOIMuucHfXQjdv0O3dAFNF4ko0DHqEcSXuq+DhzzVNNt7IOcfJHj6QojaIScZ3M0fYNEMSXRgDxn6yx0rLHRm9AwncYT8ZcxqSE+0EcIJoz1U4+r/ApvqjfBvDmP5zDa4La6RTu2uJndYJ7O8dg+op6YNpproq3GiBNPn7A4S2dMRTuvHD3JwKejxTIOHO9jf2SjODa4KW5wObtEb3pUHS9Hryv3VIcPDx/CWovDcMCueSeJ0lqjiApOa9MFsjiDsywYLooLrovPekDPDlbyXBTqHJnMkKo0cFyjnJHCx54FTT/wYPD0lVNHeU2qUgYyCK7TBzMENuu+20NFCrNsFoguZkYvwn11HygEELx8U51ikRIZl0UkVnhtf6xiFpGaus7JTtyGuDS46puhCc+1j1M+dSdMglSe+4r6YhXR7KqUAkZg22yxLtZYp2tYYVF1NFlpoaG15vMx0QTnHf9euqOEwuXskhspKVCKMhhjBzMg0QlDWZINN19ngpCW3FZUPSk5Pr1XKYW5mOPQHXCaTtjkm3emZTti7LkpWCTk5CpFWoIzTHmMoxgalDz4reBFfsFN0HnCN5ghyCvyOMeXvvgl/KUv/yWM7Yi//lN/Hd/3vd/3dz1XvwqG/vxikjr/QbxO1QnRcE7jy2bQ0buoewBI4xQzweffwoYBRNufkYMOlH3ZCYt4EVIre8NGO4uzkIjp/R55zByIfbeHgyOLO92EOPWH5oHGM51hlaywKlacvsUlhBOBejJZmi9Tnb5L8hUy/JwiEfEcPhv84YDTeAoTeaUUpJO4r+8DPMDBEUEYW4bDOQtYhpEsiyXygYMY62iUXMZL7PpdGF6kOg3I2kQlYQARS5r1VMY8hMfuEaUu4YQLz/6xPaKOSP/J4gzrbM2QnZgF06k7BRmk9yW93L/EMlty05YsuNnrqpBw24wNZprhYN3QQUFRqy5MwIl635HX0l8VVwG8MEwDsiTD6+PrELbkn1FPvAiM+uMrKKnwucXnEGsCIfw01PtsMpVhP+wBC1xlV5hlLMaVVAFJeeyP2DbbEJDjkx0LxVTjyEVIkxRykMGsmGkW2Y81p/t+6+C3YQJEMUeCG4xu6vBQP3DbjHebvmEasB+4zfAa9tGyqbSwoYEvNDMXBERIn7yr73Bf3ePQH5DIBLf1LbaSYYneyzSakffLeeKdxzm6kUNLz51PIkop4XiHf7D4AKmibtwHHg0T9fnGGjRTg7fVW6J+J2YJODhYYcNm2+OOvTTJWhuY/lmcheHmqT+FnBUfDHjsjxz8nBuATPOekEIy9VNyiPZq/wqvjq+Qp8SjzpIZ5SKOmRSxoHl5MhOE5N9VxHwfAZLUqqiCMorNPVS405OEAY9aM0djd+J9XUYl9vUeacStt2++2okhfZnOArDj07w+s6RO62wovuuhxjyZ47q4RmtanDrObXKdMwzEvDtME50EV/MsYSEeVhET5QUCgqtsQb2w119NdiJf0tHcKSxd4T6R8tXhVQgI0UazWxoqurPPNJLH9pEaZGNC2pgxXFNc5OSRN2MTUhmX6TJQBEY7hsj4J/MnAbHjebOxpAN4mAbMszmssJimCY1t8Nid2dNnI4YzDrfHW6YYWoZcXOfXaGN2oat0hXqocVfRSX3sjpjFM9I+xndYLSEYSOSs46Q94VrohBNylWOTbqhtNBNOwwnFWAQ5UKKp0TOOkbGn/hS0wV6e4bXK22aLwQy4P90HLOOT8gnNQ+eJMUBdVx7lEEqEDzvA9aFvgp7IJzT1yvidniymLjWPGRixztbI4xz3zT3f83Oq2Sym2/xwPJAO0B6wzKnv9ql5NrLhUJyJGd5bEfl4GtgU+TWld237WGjjDL62+1ogSfjo72ZosO/2+Oj0EYq4wDpdc4olFa5yTgAe2gfUQ42V4iTk2B/pADfcdFhnA5M7kgz48WxmgOmSx+4YOLWJTkh+cOTBxlHMIB1ncFfdhdQ24QTujneYNFmzuc6xyrhNeHN8g1jHmMs5pJCYpdRexlEcZF816lB0O0Gj0yyeYZbNOHW0Y4i6Du9Fvw9kGi112Nx4s+ahPzCN7byh6kfixCZMsMYGb0U1VHweIjbVi5T4zaqvYKwJ6XiFKpBneYiwBhAmOEVcQI4Sb4Y3XA3nsyC98tI365gUuGt3LI4mi8hSY94ZbmOmiVKFJEoovzhvmy7yCzg4hnelM+SaMieP4Nt1u5BCu87XlCHg3XsTCepwfUJj9DkSCd7/jvfx5Jc9wY/9uR/Dj/7hH/07nrG/1MX2N/N6e/8Ws/dnaNBggQUntlYhVzke2gfcV/e4KW9QDRU1sI7mrljGyKIM9819eL6l4mbSN9SjGYn3O2/dhBTBozNLZnh9eE1sXbbBaThRCmffhTtNhhpo51zAx/mkSW9KT3VKupcbeY+MEtM44dXpFYqoQG1qxE2MMmUuwGk4QVjKk57Nn+HUc+iwbbYo4gKFKsLGZ6ZmgW0+mAH7ek9Sx0gtcT/2OAwHSEioiA2eN0J2U4d2bLlZOWNf39ZvMUwDrgpKDvbDHvOEz5X3fZRJyW2FkHgyJ2d7mHgvDXbATM8C1clr0XOd47q8BkATdjd2UErhxfwFzXt2RCKSoDX3kfYATfqFpgG1mvj8qpgT427sgqY7jpj1EbmIP9uJ/opMkRzVji1SweCtTLN5uy6vwx3tN2ej5jm+iBeI4xj7do+L/IJmb8mi8On8KU267QE7sUMWZXg6f8rtoyMtZ3fc0V/WPqKICySa+E4A+LbVt1E3PSFMSH3icm971G2NzhKJnMUZLotLHLoD08bbLeqx5ib/fP+WsiT5KaLRU0b0GMySGebpnGS5Zot9t2dSaZSEDeyu2yEZE8Qz+rTasQ130zJe0nhuOg4RJT1zXj+/zta4md2ELA8LG6a91Viha4gM9oS5fjqH9yAnESZdY3ITi2iVIdZxqJ1SlaIbGKgopQx1GcBCGo5Fv9MuEKo8PtUPkOqhDmfp28NbtLbFMl/CGobePdaPZP5bF8LchuOAbbTFPJ3j6ewplukSt/UthKMfw0xE6LZjS09SuuQ5ISNEKsI08XwQTqDtWnSyw37YQ0QCn19/nvhFM2E30c9oDeU2n/b1iy7If+InfuJT/XdeyuGNKJFgdKyEDIZLr+fatTvM9AyzfBaoIPN0zsPaUQtkHPE/ecyJggMTmBYJSQeLlFSFe3ePqidb1WqLRcowHSklAxssSRSDGQjJB1FdOtJYSa5a+6lnYTaep/tS4qK4wDydBySX1RabbMMuunkMJhfPs1xlq4DJemxIeTgOR9iJD8LkmI7pncT7bo9VtkIkmC730DyEP1PJd8Wmd5DHUQwtqL33Ra2ULAIeW349m3SDbbWFj1s+18TsRNstOt3hIiXCqBd9YFU7yfUUHEIXnkYpkU2nW6xyNgN+fbzJN8HQWPc1DsMBl8UlyrhkoNI5rc+zeh+7x9Dl+ouwNz3GjgeBlhrPZs8wT+eBTXohmfDlTZp++uppCzM9Q6EKtKbF4+kR9/U9V1iWJA3r2MGPdkQ1kZ27ztbEP0WkaxiYcBnEKg7r4XZs8Vg/4u3pLequxpMF+cOJTtjtOxbxF9kFL7dzCmUapcEElEYpECFEIe87kll88IGfkrYT+dejHXEVXwVTZhZnbGyEC/SYyjI1bqnpDB/NyBTL7gCtNeKBzWES82eQK3L7R8PthtdySyWRyjRMURxo0JJCoh97PFp6OSKQXT7ZCYMbgr9DSw3TkuYQ0ljPOMZmbAKtIIoiFI70o0N74BQJnD48to9ce6dEL/qAkGVMPXY1VAyXUhrP0+chEyBRNPx4IgVAM5iXsrVTCweHp4unobn1aZCJSlBPXJsbZ7BJN+hshziN6aNoDjRFWYfb4RaLcYGr2RWRm5aT8sfmEVpT2z+5CS4iH90j1JYppQFlXIaEXX9GeOe/N4x5sk47MTH181/4PH77v/7b8U/+L/9J/Nztz6EoCjzePuL3/yu//xd7rP8De+2Ou4APrIaK2MPJhEHF7fE2oOv8JsIb9nxj5I3zdV8HTahxlM39zeZvBrO9ElxNJ4p66eNIz4COGFLWTm1A2JW6DHSk0Y5Yp+tAp9p3e6zTdeCGW1g81o+4b+5DsNRcz9HZDgvN++bh9BCazEQlzDGYmLzZTQxW8Rx1nwngjWiNaTD1EwkPZ9lNLGMcBhaZ63wdMI2H/sA71DJJ89AecFleBl/WoTmQ9HI2kfvBluf3X+VXiDXvCo9zuz9x6uqL8HqsQ/CdcQbbehvMk8f+CBlx+xrPY+QJA9/qvoaMJSLF9MlFtggmRH8W3Vf33BA6bqyts5SOQQWj9a7bIU/ykGjszdaLdEHySUJN+31zT8LY2IU/J4941r63fI8FGgzff9NBjJRLjpaZF1+4/AKanijVTbYJxrxu7NCaFq9Pr5GpDFflFclW1QMO/QFP5k/QmS74W3xNs85oXs0nSiszm6GKOJSIVRzoQqeesqtEJGgtz3b/7wCQwtMe8Hz+nES2s0neWkoo5znVAu1IDbZ1Frc1yUGbnInbVU/J3Syd0dDZHRDJiDSss+fIk1E83QSS/sDjROmccy6YhV+dXtGYabpQ9PvzrZ96htzpMkiltKSKoDPE0/qhncfP+vvQy3600J8w1OcqZ73THTG5KTRbT8un2CxoMG36BkVC6aNPT891Hj6fiUqCVt0DGVKVBh/XYTiQbnaGjFjYYO4f3BBkuaMbAw53mAbq4SOFWcIBVC96fHz49D6fz2xCPk+YqFYPdcDuxSoOq+JmbNCNjEw/dkfKTXpqnLyxoVTELvkEx2W2RKGLMHmyk8WjfWQ873ky1Q994COX4ozxm2RIC4RFiJ/fxBtoqfHQPUBA4IOLD8gcBovFznQYpgEfrD7Ak9mTUIz7UB5/wftQET8l9yEwjWlQD+yOn8yeMH486rGttpQ4nIMU7pv70BgoqYjbgwxBJsf+iMNwCFifCdS1q0ghQRI02Z67DCB0/1VfhShcBRW2Fn7NugWNnVpwDdqMDVTEsAXjzqEbyQKJpna8GivIjpN851zQWnpeZzu1OLVMNJss0zG9BENJxVCndg8hRSg+fIJnFmXoIurFypSOcUjgoeZUcZkskeo06PPgEGKa+6n/xIGdRilDEOJ5mPAnKoEbqeHzNAFrabzxWxCvj/PrN+fYsQ8jdXTLfInWtljEDAsYJupb1+kajWkwj9lELJMlVsWKUpKkZPhCv8Mm2wRu6qE/4Fn2jGvDM2N1mDgp8DQJT5eYx3PMV3MGfsiEz4ggSSFyRHV6POZgBqSSDdShPSCPc3yw/iAckpObkOkM18U1xmz8RLCJivh7jDO4rW9R9WxeurFDHMe4xCXaqcW23qKPiT3TQmOdrRn0cDZ/+efk1J8CztPzhqWk18IXrc46XGaXfKbOK9Gns6f8Os4mLv/PTd/QVCl5SI52DPIfX8h5DfI8nQc+tD9zjv0RD9UDmxEV49gf8eb0Bqt0RdZx04QJSNVVwbQtnaQcyIyYaUoxhBCYRkrnUk0TssfpHfsjsihDGqWIoigQhYQQYWvw9cU4wIbaGIPKVJjpWWgKy19WYv6Mjcov/85fjs0f3+D3/G9/zy/lcf5Nv5RU2L/ZozpVWM6XuHrvChO46bkwF5BOBu/BLJ4FGUHVVUGn6ukJi3iBdbEODGXjDE7DCTa3mEkm1RZREaatxhgkkk2yEALvL95H3dfEqk0tVmoVSENOuLAJstbitrqlbljn+JuHvxmKHim4MSpUAWmJifMT63k6D3K+pmsYyx1nyGLSMm6bW6IeHWU2WlFC6KwLJvlpIo7W87sLXeAiu3hXDJ+b4n7swxnnsxGW6RIX+QX2zf5dM+L4vc1ibpd9ExhJapbbvg1I4d4yUjxR1OEOPUksh/6Ar9x/BbN0hlVGXGKsYpjRYJWu2GzEJxx6/jnjNAZ9rS+sl8kyNMUP9QNBAiqFUAK97ImadQaJTvBi/gLX+TW23TYEInnjnkdQCidwV90x2MjSJ2OEQaGLgLEUSjCl+SxHTfWZua0LzDN6o7IhgxHUtCupcJDkq6+zNWsTobGrdwEzXA81Xh1fYRZzet1P5If7Rk1F3P4MZoCcZLh/jaP09sbckJd+lqIUcYHOdJQznmlgzdhQW3/e5ADnoUKchZ+Nxzpelpfoxg5f23+NG21dYJ3T/F5PNaZ+CtLadmxxVV4hjmKUWcmGsN2HDb73vHm+vD+3vG9PO41qrOCMw1QxDXeesEHwaMPc5DQ8n3XgPlF0sAOlq9YGBKJHdXqCT296xCrGy8PLgCfVQgfuut8ab/INpbtnX9q22UIoymrX+Zq0r4RDlrfHtwx1A72BXoK2wQZvjm+gpApp0b4WPXUnSC0JasgXSEWK91bvceo/ddBWh62/x29/6vPxU/+X/1941UOND3cf4u3pLVb5isXAGTezbakVWsWrYM4cLV2+63yNfuxDklY91oEJ7i+wWTzDfXMP21vct/fBxCCFxPXsmkXhmWHpi7lTf4KQAuuYH2AlWAR/sPgguJWvZ9eo+5oGtolm06fzpyEF0BeDnjwyGhYERVwEtNlD/YBKVzi2xxA24oMNYAClFLb1FhfRBWYp1/yH7oBTdwoyiFSn0D31TTI667bNGFY2t80t3l+8z6TSdhtSO/fNHs/nz4OZYTJTWIv6Ysg6SzTceU3Umx6XxSXeW70XClpPvVFSwYABGr7xqIc6mCdVpMIFIYQgHs4xoOP8hgXc3ST5IIuIzZZfmR26Aw0w5+RVgFireqpxaA8B+9WZDk64ECffT32gJsBRouOZ4s3UcKV5Xn9PZgqazCiKmOTWnS8ax2Jca42qY0Hbji1OA02hGhpFSnxkGZe46+7450XUKUopAQuYnheE1xZ7TZ6X46yxDmll/dhTTw4TdNqTnThNFiyQfUqZ18ZlOsMFLkIz679vb958rEhFgAOkksGkuMgWmMUzFs2G9J1VukKsYmybLU08cRzkWMaZoIH1+sNYcT2ZxVmIPR8M0+gW6SJMkTzRYdfsGOozdMjSjIanM84NQNicPLQPmOkZ1gUvxGZkiNMIRkL7It5Ld3zDYWDCeSGFDHhQbxq1lq79BTg9P/WnUFypRAVO9bE/YpkuoZUm1SNqUXUVdsOOseNn894qW3HaftakOsmwpC9tvhR0vmVcAgK4Pd1ilsyCgTOsf89Uhm4izquLurAhmizTEntLk9u2I/FjlGPYbPlm/Ff8z34FfvD//oP4/n/x+3+JTvJv/pXlGf75f+yfD///T/2lP4Vv+8K3YZxGHOUReZrj2ewZTt0JaZwG2Zo/60dHTaw1NsivzGRCobuQC6zSVUiR9expb9h0cEEWAQEUWYFn4hl6y23qZXpJf0AyDwX+YBmEghHc1jSPqDuyzxOd8M5qH9ggRaRlKaFIbQGN5+3QItYxns+fM4vATLgerlnwCxu0x0oqLPIFcpPjoX7A+6v3QzKvD0JzwoUEyVznRCMaEi0ui8twtvnN0M38BuXA4ZWGRjVx6KEj3h/RFAXNea5zaKW5vfi6sKRqYGpqGZeo+op+jbHlQMBNUFAhfl0IQelI/YjBDYGRnkQJn1vDbWSmzmF+OuX7c5YIAcBddYdFssA8o559la1gwAa+6qtgot1VOxKalEIMErCqsWKaoyLZaj/sKedLihDHDgFcRVfBsNefeg5Vzj87CBqwu6HDMl0GL1GqUgYnxVl4//bdHj+//Xlczd6F8sEBLnFBvhLoLOBWsB5qmMkEaW091FjkTBJfJssg2zh1nKAfhgOU4iTbwKA3/SdQf0VC6YT/ud/Wt5ipGV4sX4TJ8ZvqDXbtDk+KJzTYJzPq7M96+FN/wrbZ4un8KR6qB2ilgyF13+xD8qdvKpqJxJtqqLAXexbaZxa8FixmrbHcRg0t4QftHvfRPVGYwmGRL0JN4X13SirUls/XMA0B9+spK4mmf0JGZ0kO6AWZK6Z0D47BVlq8+/oHMwAgolNYQSXB+T7zeM6xHHFb3ZLkljIFvJ5oGp1nc8zTOWYxZYdaaiyyBTn/fRNAIP3IAMNP+/rMCvKXh5fY7/fYNiwWm4Erh7qvA7JnHa3RmjYkepaCxkprLGIVcwJph3CYhNWu5bqvG7pQHDtwSl4mJQ++XH0iPRKCjNxvW31bCDiIdRwoDbnO0YwN2ZRmRGazYKbxmmyvJ27GBgBd0BIStaCWu51a9CMv8YXlavN6do2qq9CPfXhgjTNY5kscugOel89xNbtCrGK8qd5AQ2ORk48eqxgyYgF9k92EpM1qqkJn66exAHWzMpPUtYNTSU+FeHt6i2ag9su76K2hTnqRLKAlO/RUpaGj9YEIk5mYdhfFYfX86vgKkaO5RcQC23qLy/LynSbcMkbbY+X8hTOYAeuMhekwDsHgUQ81bMaJw0XBEIF6rAFxduufaR791BMbeeaa33ek8qzzNaqxokFsoh5vNCNgEVZ6AAvB2MY0n/ZHrKIVlnrJ+O4z9unr6TrOOhRZERjFQlBvtm23Ac2ohIJQAktwpViNxD41psG+3WOezbFMlrgsLsPnyRublVCQSoY47xfLF4CjVtDLe/qxD5q7i+ICF7h4x5k1hvKjkc9CnrCIUFC4Lq/Dhe4T+YQQwVnugxv8Grad2tA8tGMbmO860kET7QMvnDtvGjQ/D9K8+2xLSXd/17OBqtsaO7sLIUF+umSNhXSSwU/n6bh0LM6miUZAHelAMAIQ9KQzPQtJv8YZODgcugMeakq9Rku+bqazUPT5aZ5RBpGNSGpya2IQncWb0xtUE4uRmZphHLliXWWcCnrzdm96WGsxi4gq8xNvP9WMZESJVhR9giTl2cGem75KV1wlazY9zhEBFiEKzcIwsflIo/ME/jwhevadz/AnfvJPYLITbqtbHF4f8O/+5n/3H/Sx/vd8/Qv/m38BH/78h5/4tZc/9xLf8R3fgVrUaIYGq2xFQo+OA2PYwobJthIKla2Cn6Qfe37OJTGaF+UF0/3OzZsx5yQ/52Ani1bQ0GlBA5oUEkXJcK1FzIYmlSS0+Cl9EiXBU3B7ug0M9ONwZDLs+WL3m6pDcwAiBKnHWtGrcRgO+HD/IZ7MngTyk3MubN4yTe9IJCKIiLI7BRXISIt4wQbbssjxE0KPx/W+DAeHbbsNQV6eWw0HCCWgDf0WN7MbEqm6Aws9xyTEfbsPAVc6YjKnlhpFQsmfcQbOOFJezqZB/yzWQ43BDHhzfIN6qim/M0T+rrM1rrIrvNq94uQ9TpAnOeq+xnV5HYz1d+0dMpVhXa4x0zM460IIGhxCvkOucmyyDYkuY4fL/JLpz4peDs+JF5YNwtDSfOkDdnZyh+fL58h0hrqrsR2Z+D0YFua5zjHGYyDZTJhgzv+zzlKaN1JKeJpO6PYdnOWEd9Qj8iGnN+wsc8yiDEIyAfi+vg8M8qflU9w2t5COJl8vBbWOBLaL7AK96TmplZLknnYPYwyu59chiHCZL2Fqg4+7jzFP57goL1CbGmM3ItUpns2eAUCQcS30Aj4vwQ8QS010YTVU1IafueXesHtT3vD8Gc4JnHFGOelEXfurPY2285xndhmXaKcWZcIU7EN7CJ9bD2pYZSuGBZ4bHA0W0sZy2/N09jRo4UXMr33f7xlemDB1VQgOp3rbEycZIUhareOWHjHv+ljFYeglpYSZDCY3ARaYKW7WxmmkubszmOUzXGQXKOKC0kwZBf7+Ol3j4+FjHNoDh3NKh1DDT/P6zAryQ3sAEqIJJzvhNDJBLVFJ4HG+nd4iVzlyneNt9ZaoQEFd1ypdhRVHM3IikDlOyKuuCnra3vTvaCuWkwRPfBinESlSXM+YqmUsdaIjeEk663DX32HbbbGMWcT6A893SO3UYt/uA8heQIQJusff1UONXbvjD90Bl+UlaRz1gSu8iBIbZx1ZtCn15UooYpFGB9lylev55t5cKJ2k2SXJOF0zPDgiFQVmZxZnYQJ8NbsKTvxFsqAWGNRrvbKv6GiOuP4tkgKXxSVuZjdBU+cNdp5f25o2TPSqiZsAXxwVaRG0oKPjwZYhC9NcX2R6XOC+24cmwQf+xDJGO3By+Pb0FtfFNfIyD9PleTIPBiXPEO0nat28Uej54jnmyTwk1i3TJW6r24Aps7AMf0h4wNdjjWmaUOgC1yWxfCGWWacBRVaPNY19FYkhUkg8dA8YRzL0BXh4jG5E3VFXN5oRkYtQTVU4hKZpgsqpde8nhi1YMAhhls6IINTnIKiIhIdu6rDMl0ijNDSE9VjjOBxR6jLotDvXBbrCZXGJeTpHqtOQVqojHcKHvCTF4zr91meyU5jIeelKGqWwmpOudmihFVfHk5lQJmWYdni5Sz3WIeAhkhH15pbYLI/lbCNGYq8STucnOYVo5EPPiZefKEOyGfCFgJ/a9KYPIVkCAkISm/jY0DdQ9VVYdVd9hYf6gXSifBPivL1cRAkVzLlxFOO+uiee1FEb7IlJ3tRaJiUNVkrRQBWzGfHGxG3DImmVrRgm0x7D3+ecQzPRZByrGFc5p3fVUOFt8xYzPcPzxfOgU010ghfLF3h7esvwLmtQT3XwCWQqQ5mU2Ld7LLMlvvArvoA/+Bf+IIaOxqlUp3j78BY//qd+HH/tx/7aL8mZf7u9xX/8J/7jT/xaN3WcFjpDzSgkZWdn2YaIBLTjZ6uzjHkfMHDCBsZwt7bFVE3vkjzBAChjSNoIgxpMRN/KgRsqMwU++CbfYJORlz+qMYSueRPart3hvrmnR8JNYfJmwcLMS7N27Q4v9y9RpiW+uPkiz/mRAUSFLsLk+GpG/4dnkHspVj1w02isQZ7kiNWZ9HSWl4xmRBxzGNVObZAf4Gz2j1UMWE6167EOMtDjSNmGlpps5niJRbIgjeMcyud9RMt8ic6QtZ8q8v09Mm4ZLVFm3NY1E6eL3rfiufu7eofH/jFQz3JNZOjO7SCkwCJfMNwsWWGWznAvOTTxvpsLdxHwvLGKcVFyMDG5CYuEdCevpy7iAm+ObyCkCGnBaZRiTNjASidxGk4hWt4jHIV4Z+SNEt6faZ9CWAIh/L3k4MJ21xiDcWKwmxAiPIc+jbM1TG+9iGga9dtOLyvxCN9tvQ3x9EmUwGXn8Dpz3oAai0V+1sgXa763PQ2Vc8PAwnWxxuvja1hBM2sIz5k6NKbBVUZ882AZNBQJDgGkkHioH5DH3Or5PIYi4R0HiWCCNo6ptf3UB6NvprIg5RMQuEwu0Ucsgo8dOfkzxSlyGpFadhhZrFpned+YLiAvfbO1yBb0UQmgHVv60EZKbCYzBVrWImdTehpOVAcM5MkXMVNkH9tHKKmouLAcxk5uony4JSDhIrvgEFZyu1yNVUAZLnJ6HbqBybqrlE2zR5kmminiy3QZDJ1CkKjjLD8rEb51/Ld/fWYFeWeIRJKQQSfoU9SOPQkKcRQjU1lI+BOOUHst9SemyalKGUOvWKxsm23gJU+OU4vBDsQN9Q1a0ISQyCQU88aQqFBNRDh1YxckF9497Vnls2QGIZmYWMQ8ZOfJnOubvoIV/F7uxT0/PP0prKSLhKY1r+mNoxhPsifQQuOuueMKRUSMr41zrNN10N161vcyWeLRPfLwVhJZdO4mz9NY7yL3KDYAUFqF9dRj+4hZMsOm3PBCG1uyZ9MlLjKSYmIdv9NN6wSvT6+pnXUIxogyKUmUmGpUXRU4sHEUY5NuMMs4pZzMRLQRiOhLVcoPrmTx7PXshS6gFRFJsYqxUZuQJmZhueK0PV7uX0JGbFCMowRhkS5ISukrppX2hxDF602Cu3YHFbHI8qbB0YwYHX9u44EmvCIugubYc1brkRfl2+ptKGYhuEXobIe7+o5kgYRs2sJx2zM5aqH7qYcWGk8XTyEgsGt30BEj0y+LS24hzkQHWF4Ih/6AzvI5SXQS9IVmYuHsDUIQCMFIx/6IfcvE1Fkyo1QjV7itbrFIF0Eb53m13dQxVXDsw/fsDTV+ve9lJBIyEBAiGcE0BrfdLc2YsgA04ITD68NrGBhcZpfvpFznqOlUpzh2nAAXuoAxhnHFEQMcYBFMp8YwItwXPEKK4LgvdUk8Ycypyqk/BXONb9K8fGw0Ix7bx/B7whq22+M4HDG3c37/2SJQUU79iXIH53B3Yirj6Dg18bp5H64EC67ircVyvsQsmSHTnL7P03lA7zVDE/wMHgl2Op2QxURlNROL7WfzZ9S32jMObJrQoCEeT9gQow0gbKwu8ovwZ+66HUZHQ3Bv+iCXe/L+E4bmnBvB5dMliqL4JSvIf+I//4lv+LXnn38emjdv0DZgcW6FDWvzbbtloX1ePXcjTfAevZbFGY37sJT2jO9W+nEUk4UcJcH78/r4GsM0wAqLRCR4vnhOPrXtsck24QJ+bB/Ds9QMDfqJk8rTcKLp3ta40BecNPZVKNrzJGdgTVIGkotSCnmUhywCn6XghznGmGBOlUoiAaUiHi97Gk6w1uIiv2DTFy2xTLlJ3aSbMLXT0btVvQMLnkQm3BgJ0pk8bchLF3rTYx5xOzVLSKJ6eXyJfc9p+SJasLhRExZz+mPqioZY7/HZd3sWuW4KOQm5pjwvEhGqkRSrZb5EN7LAzHSGm/IGu3ZHvHG64nndHcLzm8d5wP4ZZ5CbnIMjwaY7ixk6NGFCYQpOZHWJh/oBzhFzuUooeUlVSuKTPt/h/SEMkbzcZpy4+Sr/P9T9aai2W57eh11r3fPwTHt8h3NODd1dhbolUJxEuMHITmIwwoiGOEbYH6x8UDAStsAixmobC7dNSy0pASuWVQSLKBqMcCSsGNtyYlBAMpE6CUYyUptoqq4zve+envGeh7VWPlz3+r91LEuoj2MV3kVRVeecOmfv/dz3Wv/hun5XVIpPyMvj6oFkGB1oaMfNpZud5Ip8dvwMt+WtpB97ZKbfhNQDNcareMWfP84Qa/5zHy4PCBCI18YbevcNn/0syvDQPKCMSqE5vbQvUE7hvrzHZbygGiuUUYmb4gZpnKIAt91PzRMNlI4bXq00zv2Zz6ZSeKqeMM0sOAPN+sPB4YvzF5QShZHcf845ecZ9aF+RFqSjaSXFcREXOA/E4b4f3xO+sSRyOutwWxId7DGBBgbKka62Sgls7UaSTSLH9/axfhQK0n7Yo597XOfXUFAkqmkGeRnQ3+YbJ9/s+k38jBkx2Ox+sv0Ej/UjPj9/jsksqcuaNWASJyiSAtVYcQu5BAp5dKXfVGxTBvs9Xh5xGk5f+4z8kRXkPj1rsINIPCY7kUfsZok59V1fFmQ4T9RRbdINndpugpt4sQIsFBWU6KF9F4clVauMSwbImE4Cbs4Dhf15SqLBZbpIwakV1+UWFg/NA9c1yxTCm7DikMQU/0Ffhgs7U0V8YTVUYlj1D+JoKQHYJlsJHNpGW6G9RCEnIb7o8BOkm9WN6Peso9kwcAE28Qbt3KLvqHfLwxxBGFDDvvw7UhHRhA2nBWXCtUocxgyO6UYJWqqmCrGJRZf92D6K+S/WnPr1E6chs6WZQyka6bwxJQ5jCYcIEEg87bv6HTvoJEdoOY0NdIBUs0ifLKkJeZhTJqE6ZDE3H83YwFiDl/FFcHC+cdqmW6yTNYqoYBG26IcrV6Eea/jkxWN3JB6sv+ClfxE9aYgQRhuRSzRzI07rbupESuXRS5GKOLFJN4hmPmvN3CBNUqQ6BSJIrLe/JPMoF7nJaEdZu89mFg3oaEYJ0HG9k4luZjLRwtYjE089Ms+jqYaZvNp+6omSUsRIKlDG0E0dsiiT98R/zZYTBG9I0UoLJ3eVrFBEBTGejuhP3+Tp4MOK1WNEx2mUafu+3xMtWHLT8sXlC7w/v2dwlE5k2+Ofq2qoUITFVzjemWVR681Rh/YAWIZ5JAHRaqELhZVfRIU0eF6PWA3VVy4fj54bpkGaWQBiMPUyFu/EP/eUGiRhgm1CCs1LS6O3JyUYbVCGDC9bJStZl8MBZcrP4L68x2hGDgzmSZq6fuzRW+pOvXzvPJw/YGEXr8On5lNkEaVyzdgIZ3mTbNBOLdKIE6ZP1p+gNZy2z3bGOlgzqc4x/TUOY2zSDU7DCd/+iW/jj/zf/wjmgZNCA4O/8B//BfzxP/jH/3u/A/7Nf+/fxEff+ugDunJhkmungQCYJq7BlVJw2mEdrgU/e+pPYrryBnK/vRpGSjTyMEc18TP1cqh2JpJWO5reQ5AyVM81fvn0y3hVvJIcBn/uphEDcNIwxXV+jU2ywbvLO7KP9YqBJmYU0/4u3+GuuMPoRpy7M67yKxQRL/V+6hEEATbZRtb5p+6EwQwis/CTWf/87jvGdfvPbsaMeZpp1Bsp29sVvIO8xjoJk6+YYVfJiqmh3V6INd3UybvezR0SneDQHfB28xbrZI1dssOXxy+ZQN3R6GhghEKWx5S7pZoa8HZoEesYb7dvKTE0lBh66YqX9+Rxzt/9MhyJQ6ZGzm6WXJLJTiwQMxI5fFPjN2xxEMtApZtIHRpGsrYB1hLN1OCleWEBCo3UMLALS0x8aEMczVG48WEQwhgjP5dvXK7zawYKWk7VsyDjBmHsEYX8vDwqcHA0S3YTz9h6qvFF9QWKqEAZlcwHWXTIXgvut4hplAId8PH2Y+zSHdI4xbklUeT1+jWs5TZmdjPRk6t7RE2EY0+5Xzu32CZbbJMt1illUD40x4f4+C28D29qBt5nfigyulHOr3N3xqk/MdxnSYL22TCznZEFGYI4QBAwTGqdrinDW+oTP/R4ujzR4xFlSHTCzeYSGhXHMWVQPe9I/1lYS+lfoFk7zHZG6EIxBvvAITMbSpZjmn13yQ6zndnQKYdYxdJUjZbkr27u0E+9bCd9IquCkk3+dXrNQMolcG4/7JFoZqkMZhBZKxSxjfVIT6BPe/+6Xz+ygjwOiVM71+cP67h5kqCMl+YFt/ktAHb9h+kgBa0PHohchEY3ZIy7Gd3QobX8ZQSKH6TXvJVxyfCGIEDkaALzDvIsymBGsrzHfpQIbmssmqEhCUVzMq00+aKrcIVZzaLbO7bU9E5uIlscFk45hEGIwXL646fFylGicV/eY9/ucR7OuM6vsU22YmrdptQbH9oDrLK4KW5gncUm3khk72y5gj10B/SmxyebT6jFW4gkk1sOtTCRCfOlv/DCWaZ/gQpkIj/MA17aF1m9Kyh8cfmChjvHond2RK/dlDc4tkf0E5O/Xpev0cwNqpEhKZt0I7HWPsr9MlzwUD+gTVvsHHnbaZiycAlZ1E92IiUE1P15xNWX1ZewxqJMSllVn/uzTEyTc4LX69dsGAKm9wE0NHZzJwmozdzg0B3w0r2ISWdykyS7FTGntggW/BK4EguDUCbU3uEOwyLOUwPOwxmn9oS78g55lOMqv0KmM/SWNJ5qrLDveSHe5rdMfJtHfP/4fWyzLVJNg1SQBCjCAq2iacaH4Hxx+YIFWMYJ1efHzylbWkKfoiCSEAgAEgHtjTan/iTrV29y9FsK4xiuJJ+9VohVLJKNLMpEyx9qJnr6IKbZ8JkFSKO5TnmBzXZmkz0wMCFSES9zN3KKMvPzLqICoxmZampPuC6ucZVfyc8U61imZv4dm6eZTfMicXi9ei0a7H7uZZ09W/LzPYUg1NQcerazx5gqKMCyqUmDFE7zYg91iGmeBIPq00XhgPfVe+hQY5fsPmASxwb7do/esDm+TBdO1TQ/cwduu15vXjMtMR65cRkZYx2oJeipvwCApM5NehLpRBZm1K0OlfhrdiFTWJOJm5Tn5hnPM1FwfmrpJX+eIDTYAd3Y4e4bdzJtDIMQ/f+8/0pB/gv/x19AFmf4L/+f/yX+2B/+Y/LHf82v+zX4q//vryY3//1+/d5/7/fiH/0n/lG0IzMWppla6HZuST+K1kh1ipf+BatgxXNt4bOnEc+MWLHIvrQXST7NwgwXdeFgx87c1CUrFlw6pI+gfcFVesX3Y1mlt2OLAAGCFZn2zcgY9VSnMpwR470CblY3eH9+jzzIce7O2A97ZCqT59Z7OqCZEaAKRnOfxhOu02tJa/ThY+f2jDBlgzDaUfwq3nvw2DziOrnm5FWFmPTERm7hsIcxiVv+5677GsouOvSFKvRQP2CYBmI9F8mLsUamzd1M450xBmEU4tycEQQBEiRIYxqTLz1j768y6ru9XAYagt69XTHT47PTZygComHneZbm8ovqC+zSnVCFfHPlZYc+TTIJecZ4f9DkJhZj2ZZyoSWV0XuejCNcwBegnjyzzte4zpma6WEDfUfZSxIxQbKb2RiUUcmNX1RgnaxJn1EX7LIdhnHAS/ci+Fsda5mEKygEYYCb/AYA8IPTD8h3X4Jq4iBm2NIShOOU+2AcXjbPsY5xXV7LhLgaK26IkGGcWLvkUS4M70RTatealoZaHePN+o3EuVcdgwgPLZNIkzABAhDvF6W8JzTPvE22YRjXoo33G4xABeiGJdRKs4ndhluRyJnWYJNtEDrKZTfRRkK+XpoXPJwfcB6Z1j2akVusZRBrR4tkTqBTDZ2R518P9QcPkbNCp3qsHzGbmZ/jyPC3H9v9GG4KGuNXMVNq31fv8Tf2f0NCxXrLKXcANnEBApGY/O3D30Ya8f32AXxZlAnKOgpJyrrL7uQZyyOmf9ZDDetYlwU6wA8OP8C5P5MceGm+1pkI/AgLcr869Olifg3gDWSRZtHstblexJ+EiUybjeFk66a4kYhg5RTUxIt+lazkBfcszXN/Zjz4NAj33DgjiL0kShBMgaRKBo7TjFWywpv1G4l8DcIAsV0m5WZEMze4zq6BkTg0AyPu/HW8pqFrvFDXNmga24KE62poMY/eFrcIXYjLzDjuTbyRTjsLM3nonCVScTZ8eMuIRXGR8MHxyEWfxOU1tdGGRZFfbXmE0S7bUcYwDajHmkXqxKKuBycB3dzh4fKAWc1iuuiGTpqfNEih4w9aR738C0tkuNe6wgHTTP24GdmAGWu4KgtzKZb89GScR9HAK8VEzNnMOPZHbBNuUj4/fS7O81CzgzaOWtpmatDNHRngzQct/mAHvCpfyTTJY+maqcEqW6GbOxIx0hU22QYPlwcJBFpFK4wBJ2DPzbPETGto9HPPSPi4ELPINt1SD7o0j34iXQ0MKPHTliROcB7OuC/uWfgnRIMZxYmvD6ywYApoGZfIdCZypNlRz+xX0rOlhtZPuT3RAwDxigOlXHfFHW6LWzQjG5ZdtkMYsukLbSjIwLmjznGTbhBrbkMmS3JCY6i9H8zwIcJ8QYvNloetN2ytk7UEhgwzn7k8zJHFJMps4o1MkH1jlugEQRQwSCajCddP8v0Fum/3JNYswVCH9gBrrTQUnvBTxiXPFEPD92QnmNlgpVc49AdJe7SWRKFQcXrWzR12KVMKe9OjiArBS94X1HIe+gONRQCqtkIzcdvyWD3CwuK2pAnZBzZFOuLU3NF7EBs+n8YZ7JIdAh3gqSa5Z52uRXa0Tim1KaMS18U1JUgLzQbg5CYxNCSWUSlafa01OtMhD3Jsy61ME9MwZchROH/lrP7oxz/Cd7/zXfy6/8Wvw6//X/16nM4nJCWDUf6ln/mX5K/7Z3/2n0W4C4EWmJoJf/L3/8m/6/m/ervCY/UoXhDjmODrzbWRijCpCTfZDc2RNsFlvCCJuKXoi15M60nC9zcOYmziDQ7BAd3c4Ta/xU1xg226lXe8n3oUITc2SZjwLFrYwpOb8L56L7kWl+Ei1BvPwI4DbhSNMSiTEtoxzW/lVgweybboZmqJPc2nnii/TILkgwZ3vCB1KW7zW6JhhwbTPIn2v3WcWm/zLWIVAzkLXv89XOfXUkg8No+C0y2SAkVSSIiYb8qNM3huac70GyGtNMIwxKk/IQ9zQb5d+gueTk/8XJQRPfH75j1O/Qmv89c0qXZnZFFGyYCi1GDGTC+JYzP+UD0I9i/SEQs958Q06Y3gWjO1sp963JV32KTkkJ+604ckzMXL4WUPm3TD7YTj8MXTNupzjfN8RhZn+Cj8iCbPKJHz4dSfUKSU5gUukNwFGGBQAwtgOwoe02/Kfuzmx6ADLebiIuY2sh5rSXW8zrhBqada6EgegerzVQDg1J3EALpNtqinGnfxHeI+Rh7kWCWUtPg7vp5r5I6N12xJI/PSxDIkdz8OYw7JTM+04oGbNR+m6DG/q2SFfuKQCBZMhi1IEKlHblQuwwWX/sPP6b1L22SLy3jBoT3IfVlEBdbpmvLXkfVQP/fSXGulhdftHCf0zjh0rkNjG6xSMrwNjNSAj/Ujbotb+byzMMMI0s2GmTjE+9U9rvIr8fEkIWVZXuJUj0u68rJVufQXNr/DGUnIZqabOmmGhnmQYerrFbNEspCDzdfr10LocXCSH3KT3+ChesBL/YIgDND0jXi6vs7Xj6wgDzU7Ls9RtpYT3HmmHum+vIedqc/Vip0oHFD1FZq8keCgaqxEluK7UyhOLpuhEYTdqTuRNz2PsJEVzZc/IIdmILFj0b3WfS36yyzMRDflC3dP2RgN9V5lVLKoVAFaQ92xDsjx9EZUISmMLbbZVn7uMi2xTbY0eegEw/WAH5x+QLOls2jBOGJvQJoMDZ2rlFq/fbtHHudo5gZ65KHkpwfdxOTTNFrWrRF1lc3YYBWvJMK4n3oaTJxD4cilTeIEbnC4yq8k9fPQHZDGqXSavemBAbgqrvC6fC3hAVCAmQ0O3YFTziBGMzGRtTMduqZD1Ecf0jgVUZV3Jc1Ojw074jzOkWiiHqOQjv9+5veaO+rcirjAMA2Cf4uDWAp6/89OwgSX7iImrdfla6YiLmYX5xxGN6LpeECkQQrlFIuAmBdppCM2IEEghYOXtWilMc80IVpn5XBxzuHYH3GwB1zlV9jmWxzbI567Z0HwxTqW2HvPtT4NJ9J8FtxWoAK8Wr0iLcZr0j0De0lb82vIQhVCTUlDrvGTKMGr1Svs270ccIEOME5cUe6yZcK6ECPGecQQDDwIlwtpk26QBIkEpAxqEGOOChVCG6JFKxejX5n693G2NFxlAS+8SFPq45/rIuEGonCF6IjjIMY23eKleeGBqBz27Z6knXjNTczEyZ7XsnperiTJxbloOQdDFKbXkr+0ZCD7NbYxlCjEigfuc/dMLeLyr9GM+OL0BWY34+36rZh5AGJSRzPCGYcvmi9wHs6AppkvD0iwaYYGURPhbnXH9fNSkHoZWDM2EhQVRZxoBypAEiTyOwMgMr88zqWhTcIEr4pXYsDzaXT7bs/PTHOi3M0d9vUe37n7DpIgwWenzzjxWhCnn3zrE/yhP/uHMHcz7q7vcP/xvXh1vvntb+LL+ktSOCaD3/dnfh/saFGUBZJbft5FXOD87vx3Lch//v/087j96Ba96TGYAW3finnPk2+89j/TmQwlqqkSM7VyCgYMfFunaxRBIQE1RVhgk23w49c/LqQjgI3fZbrI4CPQgRA0Jj2h7Vo8nDlFHiz9FZ9sPsFNQQTaU/OEMAglk2GYBwxuwF15h3Hm8CUNqTOt+grP9TMpWLPFWXHVf1vcylTPZwpoze2pAylJ1vKvn1tuhIOYcp5EU0KYx5zSqVjJ0Oqz82ci45vMJLzuYSbxpxs7EriWIYBHuQY6gLUWzdTgx65+7Cv69iKiBtgpogCP/RHKKbS2Re4YXuNDbLTSyGPq5p+bZ2ilcZ1foxkanEZqy2GBXbKTQLXb8pZQgoBGuE1B9vZVfiUhXl6a4GsGgHporVgMesnBuT/LkGeVrhBMnCb7z72fe9KTFAdsxpoP4TCLJ200IyY94RurbyCPcmr2jRVNvnWW8pWZxtDBEjnsnJPvdZWu4KPglVLoxg461vK9FEnB1OxkhdNwQmELbNMtFHhXb5IN8jgXiU6kecZ/dv4Mb8o3wMyztJs7kVHtsh1a0+LQHkSetAk30NB4ap4Q2EDM5P3ck/8NJkp6ekxpuHlJAr7DnuITIiQVLOQWwCNmlSIW2Ge/hGB69QwODeIphlU8G5VSOLZH7IodXtoXFsBRjFNNqZZ/9v3ZNppRckQ+2nzExmfm8GOyE8KM/gT/nDjnRN7niTPOOrxdv+UmxTJocRNvsG/3aMYGd7s77LIdPjt/xsA1N4uXJ49YS2VBBjWTypOGKUJF35ZTTtJyD90BD/UDwogbqjIq4Qb39evir/3//O/4NZgBURghQIDKcO1/W97iOrtGGC4rcXTIXS6Afb8uO3UnrNO1rFYmM0mUrzdueVOcF+krpZDqFK9Wr7guX/BgWmm0A93iZVDKKtQH+0xmkqlIP/eic/PhLc+XZ7xdvSVWaZkCJCFXJFBENHnzRxZm2CU7VCOJMk7RvaugMDsW572jFv2+oPRkwoRiKPDSvMg0thnIGr0urwUbdJvTINHNnUzm8yjHFEx4f3mPNEoFwZYECR7dI/XrmsxV7dg8aGgxTOZRLolcj/UjurnDJt9ISFE7Uh4QBiFixdX5aDlx9Ppar5X98vwlOeRLYupT84RLf8FluGCTbCQRDgq4L++hofEyvEgypA5IHlBOYRPTgV4P7OY1NOaQE5lzx5jrc3fGcTiiCAumRQYRQhV+kBQEPVPU4LgOXKK3r/IrBiotyV6BCgQrmEc50jiVCYSfSt/mt3junrHJNtSpLfpjb8rbJls81A/o5x7n9izFhsduxkGMWTEW3q9LD+1BuvrABUhTBgj5VMen+gkODhtN+Yq1Fi5ySFSCTbLBc/csHOZxHkVrfpVxVa+UkrhsvykCIP/pA4ASnchExktc/CFcjRWO3VECazzP9aV9kSIoizIcWkoS0ijF6/Vr2ZL0ppeo6SAIcOgPot2rxkqMTaEOceyOnPzN3Lw0I0OOrrNrJuzOg1w8zdSIMXyYBjYPM+lAs5nJEQY3D+fujCEc6Ka3lDRVE8+j0ZIsoKEllKuIC1S2wkv9IhPGm+wGV9kVDv0Bz/WzSAlCFZLENHQY9cgBRJDipWMTkCXcMqmA78VT/SRhSKEKySPGh+h3KKA1rRBp/KQrCiIchyOukiuUCd8LP131yL+HywNqW7Pxjsjpz0MW86uEaL/3zXvAAEmc4Jvf/ibNhJaTYh+Csc7WsMripX5hE3QVIY1TCRHZpBtskg0+/lUf4w//3/4wpn6Ci4nIM4PBdrPF1ZsrtDMDlgJHn4lnjns/gaf36IReI+9B8ZIlB3LejTG4KYlBHeYBeZLjbnUnZAv/8wMQDGKRFWJ49H6Tbupw7I5o5kaSj8/jGV9WXwpq1VMpsjBjomLC4LAvz1/ijDOlYeOMeWbjedEXHLujIDtv81tc5VdCakmCBIMZcJNw7X3qTqiHmncG6PNR4HrdZ3SUMUlNs54lRGqX71BP9HhEKhK5VTM1iBTldi/tiyQ4n/szRjuKDjxSkUyfvZ8kizIiIKNU7tlAB7jOrpGlGUOWouTDvdtVlGHEa9lK3ZQ38jn0E3XHSnPDuct2LIQDYvyui2u8Wr0i+m4hTSUhJ7s/HI7lv799u6cueyE6WWelEbourvGN6BscbIzcrAegJGfSRJZ6CWkccMvdzi2KkIFDaUg6SKhCzHoJKFv+2T7EDiOIoQRk0l1EbDQu/UU8ZgYGiUvEb5YGKfqAQ8Y8Yqp4PFEP7+kdgQ7Qjz0qV4lHK9GJ0J08hW6cOUzJ4xwvxxca1JeGe9S82++KO1yGCyWUyRW+HL+EUUYQwXEY4yohOOLUn0iCCTjp76deDPPWEOsbB7H4kvzPfhpPiBRpZaEJYQKDu9Ud2n1L2WFEKeVoRlzMBRoat/Eth5oBPQxWWazjNbIow7E9ykY1DAipiAMS7Py9MrlJktm10hIWGelIfGTeo6S1RhEQOvDSvUgGilcPVKiY4bDcc6MZkQXckFY9Mz6cdThNvAvyJJdG9tgeMcwD7vI7TG6SJNmv+/UjlayMjkiam/yGKEBncOyOcM6JrirSEaqpwheXL7CO18JOPnUnTnGX4mIwAy7dRUJK4jDGyq7wND9hMIOwX6/yK/iwmffVe1hHbFA1VljHa8RRLOY6rWlq8wiuMAyR6Uwg/97U6FE7FhbXxbV09EmYIHSh4AcVqPdWUFjna9GeeVyiT6/0wTt5nCPVKU6OccphEOIqu0I/9dh3e4RhiFflK0QxD9TBDniun7FNtpQALcadJEoktdCHL9wUpDJchguSIOHLuOAU+3kxSk5c9T5fnnEaTvh4/TGqqcKhOfBQUpS0eKzesT0iiylH6MYOj+MjwugDPsob7nwCF0DHfxEVUJpT9W7s8P7ynmQIRbOVT+/0JtEkTHBqT1BgvLs3qzRzg9rUMjXvRoa4eHOjdRZ5kqM3PapLJZ9JZzqYidMeHWi5cJ1z6Ayj1bu5w3XGS8OzVLUi4cZvOhycTNfTKMV5PGObMC3POCNpgWEQohka0ff67j7QxFtppxkyFJTS+AGclFpn+dxoRYPK1AmJIdIRXMC/T6xovvUoxSSkAXKdrFGFlQTMZEGGqZ+EgqO1FvSoUgone5KQEG+OuSluSBoCpWH92H9I9zODGEBDxSm0hsbkJkQ2wipmfLPn20Yqwqk94dgfiTxbJAbePNRPPaZxggtYPCmQtJSGqZj7hpmSljiNMdpRKDGRjlAZNujbbCu67HEese/3GOcRRVTgVfmK73acyc9x6A7oBrJv79f3qHqmc7YTjddZmGF0I8qwFB+CJyT5zVQapXKpVEPF6V3JCdploBEQmul2vWXB82r1CtZY/PL5lzkBi1J6Bswg6aVplKIMS8H8PVaPIvdSE7dWzvB9jCPGdH/76tv0VphRtnf91EsqcRImMmny2zXryLsOdIAvL18iDmN8a/ctYaE/NU9cC8/ATXaDdb5GrBmWFiDAJ9/+RM6bfu6ZGAgOTfqOem8bWLzRb6iRzq+Z8jcyTXGwAw6nA761+RZW6UrS/7KA26rr7BphwHPO+36yMMObzRvxrYxm5OZsOau22VYm037abqyhl2dJHQ50gDROJRjrqXpComm49JHj23SLVbwSmtehP3DCqTlNGxXTcHfxDptsg4+3Hwvz/zJcYOwH0oZvGhJNmtVkJqYFGup0X8eveef1JxkQDXb4QAFZpqLjPGJ09GIorRBr+rTqvsZluOC+uJecAAMjxZ3Pl/CmSV/019MHc6gnM80zN3lX+RWSiH/OwqJHj6ZrOE2OMm6ylwGLnzBGIae9HmPbzi1Sl4qkwt+HXnL1w8ZzgAVxO7Y4dAea8Er+tbMjo9w5h6MjvSqJ6HtJYzaSIWgIrAfiaF+Vr3BX3rHZ74+4xjWN0osfrJkakVi8NC/YTlvs8h2yKMOb9Rt8efpSkMrrdI274g5QJEQd+yO3JQkzHHx4YaBJFivigvKduUegAkRhhLvwTgyFoxmhtJLwnG1KclPVV5LO6pG/ZUwjeTu3khfiefDWWYZcpWsoRyxkHnGjMRgaYLMoQ6IS9K5HO7a4KW9wk99gshP29V7uJguLafoAXPAmTZ+CXsZE7T53z1COE3GtNa5Khu557HA/9jQ7t2ecpzNeFa/It5+5ya+GSmgrk5nQjR0O6iBoWP/+emxyM/L3+sNUoU26oYxoSWD2A5VqqBDpCNuMg4p2bPn3TLfENy9oyU1G2thoRjw2j7ixN0TrDhbv6/fIhkyySJ7qJw5vzIgkSLDLdxja4WvXxT+ygvy+vMcQ0Ex2V9xJsmI91kJaScOU0dcLashHk2ZxhvvyXlbdWnECa2ElVtg5dnrbZMtCy+vLhhrPzTNjvycWbx5Pt+/22GKLWMe4LW8BS3qERyO9Ll9/iBkeL6j7mjHJUy8s1l/e/zJ8CJGCEq3cvt1zTVfcIosyrOIV9h3XJ3Dgql9rrGOSQqqhIh9aM0Fsl5Jd/GJekASLJmykZjQLMxYYI5O0/FTRm1uu8itZA5vAoDe9dJtuZufqaRH+UCnjUtILG8NLq59JTPGUDR+01AwN/vrzX8fHu4/xjfgbvND1ksoJ/v2vcyIMn+onaXhGO1K642a0HTGKoxvx3Dzj1eoVdukOs5vx1DNUKQojruvGThL7kp5GOj+xSYOUK8zuLGmQzdTIQTWZCS/dC9qx5cTNGcDwYvLTmFBTLxxH3BJYy2J1ciQorBLqXx+qBwmNgiIHOART0wIESFIyz7XWiPsY0zShsQ3uyjvKIkJGc892FoPr++o9jv2RzWaYINMMC9nmnJZ2IxsELGQT35ReZ9fSnLy0L7zsFuRgGHCd5hPERjMyBluz8A8VkZje2JWFdJ+/NJwmFHEhB5SFxXk4i155mAemts4k0YRhyITU5feuFTX1RVjgquAkBhMkRGqcWBzt8p2gHa3jRNRai4f2AQdHTbtHeQ5mED+J33TlcU7ucRgxwVRBJoyH7oB1ssbr1Wsc+6NgEZ/qJ+y2O9yWt0S2TZ14L16aFxz6A96Wb1EPfM9DFYpJ3AfP3F7fYpMysa0eaxRRIZzhSEf0oSDAVX5FDvrM5qYeOcVOwxTd0Ik23SkWxa/MK5nyNEMjBA8NjTzMYZRBN1I+5WPPy75EkLEZU5pECDNSgrPNaYSbe4aR+GhuPWtJnwRoIh0sjW/zTDTrm+INWsOJ9r5hkt91zuYUAO6Le2RxJrrXeiBjf5NusE23CHWId9U79CPlS+M0iqncJ696/WtURiINmi019r3tsXaUJ8Uhf3dlWOLj7ccIdIDn+hmznXGf3eOuvIMPGvMyAAvyzYuowCYhXWaYB8ms+Pz8OUPXgkikKbfqlua6ZIVu6vBF9QXKsAQ0C3s/TXNgkVCPNYaIpJQwCPHu8g5OObzdvsVtcUv8oZlleJDFmYT6eN1uEPCdH+dRJve+KA0Utz/dzOfPT56NXZj5OuRt7oAk4vbDU6v8xNqTuXwh3U7U+J4Hmje9GTwKyCqPgkg2wtYxNbkC5Y9KsWBsJg4WpmkSCUw3EO+7STbYZTtKoezwlaTF65znld/eeV14FHxAGvtNK8BivBlp2BxmbqP7qReK1W1xK/9fP90czSjFaxByyu6lXkorMZ7789T/Lv1QzOu3AcigKg54ZufJMgwZasHF+lyNt6u30lw8t8/ikxvMMgRZTLSS4rxwte1shbntm/W6rWFjnsF5vEzUdYw0TbHJN6Kx93CJdm5xHV7LGVcNFWEVdsRT94QAzBjx0tJ2brkF69kA+/P10l8w2pH0HtOTPuc6BGOAYlVI4+R57uuUeOSt2Qrh6ra8ZZO4mO2NM5RwTZY88PQGV/kVn30wfXg2s8AZvOpg6iahlFVDJYzzQDO/JVIRTaH9LM9pFmbyOfpkbb/NX6U8p0LNDBilFLShl3CVrrDLGfTWjPQF+tRmPwQ799zCT2YSuVU1VWLqt7Bfuy7+kRXkDg535Z28ENZZMb7s5z22KXW9bdfiJr9BsKLe1U/HHBwxRFOHaZoo2A8z6ovDRAqQ2VI7ZJXFvt2TIzuQKXmVXeH9+T32ai/hNe3Y4n51j1WwQpEW8gFfZ9eSAjiZCYfmgONwpCseIzLNP2etxWW+wFo+CP7QOvdnSXgKVIBWtYLsMo6mpqqvxHAzWL4U/dxjkzHEwjNKfUxsGIQ4t5y6tkMrE/MiKrDO1jj1J1lrDtMApRdt9jLBf66eUY2cFDvFEIV+6mnumLim86zsAEQkeUmG/90qKJQx9fMhiLHynNVdTvpE3/aCMcqjXPB6k51gZ4vDdBDWOMDCtp1a4bhGKpIJfzd21NkuevxkSmBnyyCkRc/fTd1XJrXt2Ipkxzlq1fKEVJl1smbR3z7BjYuEaOHd36/uZSrZzA3Wao0syJAkNAX7aap3gl96mnaxcGolfGJBRN2VXB8qzTAm5xyKhHKkVKVyWEjkfLYRk6O/EJ6bZyn8/eG8SlaA5jouAH9363gtRf3YjajHWjTnXt9+aDnV84ElPpmziAvUQy20A8+k9SvkaqgkGyAJKZE592eMbkSiOeX2fw0cizxfKA9moGY93WG0o+j8faR4GNAIFwWkC+yyncgIjGXippdSeFnDuT9/2AI4ItX8pRyHsazst+kWiWZ8d4IE65RxyL4pku9z5sQwQEDk2zKpvEqvxAgdqQglSmlifMaB1/F7c7BnqIeg/tATBryp21kWj2HIdMpmpLnvzeoNLsMFnenw0r6IQfD1+rWwrb1uPgszfLT+CLNj0VLEBXb5DqpdpHCO1BYfdrRKVjDGCILRa6uLiFNGrTS9IYCcYx7DeugObITjBG/Wb2RtHGgWjFoTrdjPvfgPjv1ReN5aaf7u4hLt1MpZcpVdIVShPId+SuwTgpuhYV4FrMg4nHWUVYQpdKAlbdJPWwFOZ/1zUw0VbstbTtunHofugPfVe1ymC6UscYEoIkZudKOce5MhlzrKIsqF5k6M8VioNR9tPgIAtGPLxOMljvwqu5JAFgAikai7GsiA6/Ba/v5aa5mYWmclaTAJiAj1XqhX5Sv5Z/lYdq9r9qQTP0nt554x4Ys8Rg9L8BKc3ANwkCLwMlwk3XN2M0OBFk9MPdVSNEc6QjMswAQ/GNAJZQ1bbpiygNvkUXPDV40VEp2I8T7UIYIokOYIYBHtBwf+PAIgAwBPbvL+qSiI8FQ94aAPguvzktJqqKQA16CxMAiIF/RovsmQivbDWwLftGho2UgVcSGm4yiIBNE3O8o8H+oHQSB7qo3fNHtfRdVTGuE9LIEOuHVYfqY4iAU2EWluE5uRwySf+u0L/8lMeLg8UGqzJCsnATfy1VBJ+J6ePrzLyipp1I/9UTaA3iPnwQTN2ACaHPY4oEFegTHy3dzh8fyINOXnEmv+zD5FNQxJ1GnnFh8XH2OMRlQ9Q3zaucWhPtA0Wb6WCPppJmjguXrGNt9K0e3vnpf2BbtwJ5tu3yBOMyUiBka09j4o0oEUm2og9niYGeo3TAOGibVVoAN6e0IlkrtxHmmAbp45yFokW5+fP+eWUYeUHS3Pph3ZLGVxxkGEGTl4+JpfP7KCfJ2sRbfjO95h4sT8vrynu9lyDbBOWVz65DKvD/ca7/N4Zmy5U3Ih5XGObmSnrrTCNJHFbTW7uslNvKxg8dK8IAojrKKVAORnO3PqFFM24PSHA+ylfsFD9UD0oJtR9RUehgdJplwFK+qJbIAspoHNT1qagRHR63QtneFgSPvwCKRABZgnhs8YZ1B1FUbHVbMzXMv0pser9JVouqqxwmxmnIczJxtmJst0OdDOI5FxSZDIg/nSvuA00qm9TbZCw/Dc41N/QhHyd+msw6fnT/Fq9YoMcwuRPZz7M+7zeyRxIkWvLxonM0lH7tdaoaJpsYxLpuxNM9L4w2Tfa89P9oRmanBb3kqAxqvVK2otF+pM1RMNNU0TMJL5fBnZEEVRhK7pBI2XRzku44Ur70XzlkWU2Fyn1xgwIAZX/NfFNek4YBzujbsBNDDaEfsLJ6Bv14wi9nQTB8dkRLeVjcPgiHAb5gGrbMXplLO4qAuGaRCakKcS+IM41JRQOOewTkkHEF21Tj6s62xA8saiy25m+gt8kMNo2MQeu6N0+efuTLPvWOHSXbDXe6Sal06gArx0L2h6FkC+EfVI0stwESf9ZbzQfL1wdAMdCFXHOMPnfKGpxEEsgRcG3GZkYMF2Hs4oEjr166FGbbhWdo5u9sEOgll8rp5xU7JQq03NEAYFKXC9RjUN2OAAEMmUn4r4gt8XLz6U5bl75gYsWVIgly2DcYbhP0vMvbVsAF8Vr3CdXeOz82foR/KltVskTxmncc45XNoLoiISBnM1VniTvUEUsgi6Kq6wTbc4dkdJ0b2MF9le+NVwHMaCK/PIuM/On+Euu0O04gq8GzspSFfpCsf2iE2ykQIhjmLMM3WpqSXyy5t+u7kTikAWZaQcaRJByoTG89FQF+tX1b5Y9Kl4TjmR9SQRp73WWWHyB4pr+GGmlMr7OsqkxCebT6htnkc0ccPtzBIW5ouhbbJFq1s0A1NpZ0smcx7mSKNUiiGAE89qqqTg9RSmlVvxDBlrlFGJaqqwK3bYpAyG6ucedcfMAe9XyQKuqTtHln8SMb67GRrsMp6zaZgKqcLLSkIVEpG2TOl9szLMAzYgvevYHwk1WP4ZecRhgRqVyCrSIMUYjcjmTDjcGhqjHfG+ei+//3N/lp89jVIYY2hCjWPZzkzzJIbMZmw+3HHgltca3pH7eo/zdMYqZgPnN0XrhEQNA4Ob7EbMflprec9vi1t512ZL1G/TN1ivKDtNwoQbnoWFfZVfiabZe1X8FsIbta0lnnKTbkSX7z0R+24vNUU/99gkxOu9NC9M+m3PqE2Nm+yGaYyLnNPH2ivQp6GUkm1yNVRiLPZ5FOf+LFSRdboW7OK+2wt20zee3lPhw6T8ljaP8q+gZ0czSjPpdehaUw/vE8nLqIROKCc8dkcOnFyNyHJg9tK9yGbZSyS9vAkA4Eh2mTChjEtKaoIURVQI5cfOTEf16d1eXtoZ1lFhEMoGsJ96vFm9YQ23hN9tsy22wRafHT9jY75sDPz5n+gEd8Ud8jjHJqVvbLLEIR/aA5HUil4vj991cBJAWMakSfnzvB3pPxIN+aIjL+MSfUsJjrVs4Hf5Ds3QIEvpjbCDFRCCXf51lV+RLLS8O2VUssYYK6RxKkPCNEqFXGWMwWE4YB3RTP3cPmPuvkqp+pV8/cgKct8R+1WbsYbrWuuE+nEZL5gMtZlpkMoEYZhJSuhnIr60Znx8ERc4dkc8Vo+4LW+FJ3lsj1LgHMejrIqdI0Hk0l8YjmNHRFMkh4Kf/sVhLAdDPdT4/PK5dLutbWlONQGOwxHxGMsFcVMwyKcaK6wjFiYP9QM1R4uO0RehXj5jDAH5l/4iEdiDWsgQC85vaGlQu4wXrjEnygystVhFJJX4v76MSuKk0ItGuOorvL+8x/vLe7JNQ7J0Z8dpnjFENiqn8NQ+IRkTCdbwRsGn7olaXWexzba4Xd/i2B3xVD9hla7QtR3lB9ZKgZ6ECWPUxwZ5xN/PNE8YNQ/wy3ARLbYvbgGIZt04UhWOw1E0juf+DBgWzbcl5QPVWCFUIWC5iUljOqQVFNKAL1aiE7xZvWHjku0QFGwsfnD+Adf204AhpM6ujEpGTE9M5Lx0F9yt7gSreWyPgAJer15jtjO+f/o+mfMT5QH7eS/SnV26wzpeY845lfUT5FN/YgLnwkLNYxpDYYFJEde3jtaSeleNlQQwTWbiBiUgI9tP0zwBYTSjUAParuXvR4eMqNcx0/hMj3fff4fSlri/vsfbj9+i7klk8GEbgQpk2thMDZx1aAeuInuzJH7OA5tGSx2/ccSHzmbGKqWZSkNLo5aFGd6u39K8uBy0q2TFf5YzcJ2Di5xQW+qxFtzXaEZcJcReea1/4ALUpkZvepRBKZsBn8zrlENiiUDrLh2qocJNyGYr0IGk2TkwsKg3LO4RcHpnnBFm93V2jbvijlrZnGvtY3+Ex5X1hlroVbRiuueCP73L7/B2+1ZWyr64aOdWyDrexFdNTGe8L++FT93NfLcmwwlRM9HgqpXGJtuIVCiPchbFS1z4vtsjGzl9jMIINWpEYYRc09jnZVtxSEpRHLJ4LxIOGnxQinOOQWFJTszf1PF3ppxcgg4OVV9JU7RO1/iy+hKX4YJAcTKY6ESwlnNHnemr4hXCLMRz8yyBL94foRQlAL44N6DEII8Z/+63LaEOadxejIje0O0xbX4yCsUE403CosnTQtIwxQknjP0oYVNRTFzgTXHDAkMTu+ZN5F6O4EOIkihB13Wo5gpJkDC4bTFGW2uFm9yMDLQq01KoO0opvNm8wTixObGam6hQhbgvqQMfzPBBBrFoWKuegVfVRD/U2qyRJUTlKihs9EZwsH6bmwUZ1jE53c46jMGIy8RN3zbfIpspX3PaYZfvhBiWBinWCZ9nb47zYUYe5akUN41aacnU8IXaPMzSJPoshziIUYLSHt9c/bD00jdUXobgJeZJmCCZEw5DMmIixTS81Aun4SSBeeeeTYbHv3pvzrFj8+pN95fhIsFSumaSroERQpMvdtOQ+MqH+oEJ5Ip43qv8Cnf6TmRnve2ZsrkYaJMwQT/3eKqeZFihNTc9RVwACvKMrJO1NCo60EhVKr6qy3SR34lM4Q2TkWMd47Zg5kU3dRinUfTYq2QlRt45mikvCyhf7GwnfqJNumGtsWwFii1zDrRmQ+h/F14+WaYl5maW4tYp3qHxOpam/aa8kRou0AEDtJIrREHEyXjICfkwDx+GPcv766VaxrFW8iqGHx7uBjrA+/N71GONVboSSd4m3SDIiGkeHcEM/dwz0GrzFrObce7OUI6SXhXwfNlF3Jz70J9maNCNVAPUXS0GamUVA56+5tePrCAHWIRPljIRj71xcFwJRxFSm3K1ObZIY3b71VwJ1q4dWzqlw5gF/EDT1qE/IFQhXm9ey+EQhzHMbASN5LWyNrAokgLnjhP30YzIkeO2uJVJdBrRnPHZ8TO8dC+YpgmH/oCX9gV3K3Z8fop56jjVXaUkF4wB1/h35R3/XmOKcRoxaxoCdjknM4/1IyIViRZziiac5zPe1e9gncUu24l5I42YBnloD4h1jJviBpuESLoi5UorQCAEDI+Fy8McoyV2cXADble3OA9nPLVPUFBihDTWIIqI9rr0JCy8Xr9GkAQsiBcaARxRk2/Wb3jpBSEDJ8ZOjCu+mMyjXAJmdukO1VQJjjG0TG3zCDIfXFLEBU7dCS0oj/CaZV8M+anp5Jb1o50kACaLMtG+3Ya32KaMmfZTjxGjIJk8Z9qCut/3l/fU2CklIUqX/oJDd8C7+h0THuNM0gXTMJWQjVflKwmlkIh5+6HQnhyTNq21gmOaZmLK/LTJKSfFBADRgirF7t8XANf5tRj7/IWdx7mk22poBnrYFDamQ3+YBsFdxgET8uIwxl/7//41/PZ/8rfLu/ln/9Kfxe3HtzRCOuC6vJbi3jpLpu+C07OwnEwtqXDP7TOLivUb3GQ3pPaEfA/91CYOFjRnqAAHFgGT46UclSTZjCMn5xl/xn7iheack0LGJ9INI8kMWjGR8tydyZhe/lg/9kDMtbmGFtzgvt9zSqIsIkVvRD/3Upxtko1ot42lNhIKuMquxFCX6ITZAEvjchk4UY6DGIFlg3Ab3SKOYqyilVBqOtPJlvDQHlAPtZBB/MTQP5ublIV2N3ZyofdzzwYhJKEmj3LsFCdqPtGyiAu0wzIpWjCI4zxCmw8SiizKRDLmSSQSa51yu5ToBE8NvRxaaWSahT0W9NowD3iqnyQlOQAb8EvLWHjneK4765CmlEzoQKOMSmySDR7qBzxUD5QUBClxczqSiedgBtR1LfSkb6yJpovCCKfuxA3kTI2r/wxHO+IuveMZuITCBBEHApObREK0S4lje26fsW/2WMUrJEgQRiHqvqZxPuDmKokS0eumOkWlKm47HZ/daqyEgBEoysfqkebIV+UrOOcwp7MMl/btXkyP4zzitryVosOn7vp3OwpZEPkE2B/m/Z+7M07DiSzmdEdZg5twG98ij3NpYpKI/PgZC20oyXCdXYtpVIFT+WZshGAxmhHjxHfROYd3Fe8kn7AZOnLbvZE50hHvkoX4NRkCET7ZfkIC1TyiHtgo91Mv5+dD/YCszxCE3K7mcS5UqCQkvMHnOPjfs282oiDihgk0O44DjdvO8rlbpStB145qFOTtTXZDCcui5z/1vL/LpMRteYu0S7Hv9jJJ3SU7YvoUqST+HEhVKoZg/z39MB0GALaafjavi+/mDg/VAy7jhYXi8lwdugMuw4Vgg6WG8KbuYR5QhIVovMuI242b9EaGWg/VgxTLd/kdVtkK1hA4EQ9MRJ4s7+U4o1dgHawFr3ruzrCwck+M84hYxRgVt3LWMrCnGir+Tpe7ZDITkzEXtGQWZ7h0/DmyIIPWGu/r98KiT4KEpLX+gjTm89/2LZIwkQyPMikl8dz/rr2fzdcCXsJ37pehYrgkb8NAaSVTet+4j/Mo6EvfRFQDMY/KLZjDZQCchRkO/UH4/aMZJV01DikxSmNmsByGA9PWx/8BUlaasYEZuAbzmD4fYgKAh11PGYaFxfvLe2KfwhJnx7j7NKYu2GOS0jAVDfTsiGpKoxQfbz/GbGd8WX0JrTWGgXxlbyT1DNWqr6ADjdv8Frt0h9NwkofXd83DNAAzxA19Za4waXLBfcTsvtmjiRt0KWPZ4zAmZaM7w84We7OXCUI3MPymmzqMGIUd61dnVlkcmyMem0doR3rErGdMjjSZLMjw8fZjZGEmzuJu6mQt/8Px715nb2EZTa+thPVUUyU64SIi5qdICuynPYIgkA5wNHwpV/EKif5gwjt1J9Gb+WAhzy726XV+8ucvhliRYqDAlzxQgURLDzMf+jSkC7+ZqK0tokI+O6cc3qq3YgZONc1GYUh3fD8yVbNICsRRLE1eOIQYRx7Y/stj3SIVQYdaVphREGHf7al7N4YBCYqTkVN3QhZlEorRDHTmRzpCERYkfihiktIgZaE990RZLmzVDBkO8wGbZINNRjznpb9IvHGow688y17nHAWRmG+jMBIHPwAJZZrshHnk+sw3NH7K6Vm3ns0fTF+9POae5JhxHmET+6GBWApZay0eP33Ey+kF280W4bdDIfvcFrecnAUpyoz+Ak8DSINUQqaMNfJ9jfMoes85nSWNtoy5nWinFo/1I87jGVlAOcVNTtpLGqbQGfWe3dR9hRTkUxa9GRCKelm/fbPO4ovLFxLM5Felr9avUHf0OiitcGpPgKK5rIgKCTmx6WKOMzSy3uQ3yMMcp4G5B2Va4j66x+v1a2rYF+PqZCcasJME7djis+kzdFNHSs8iM9NK41XxiiEdfrKclDi0B5kurpM1rLWC/Tt2RxQxQ5KOHaUQfvqWRIloUnVAfXGUsPGu5oqx29kWdV9LmJonbPgAtH29p1QhvYGaKCu6Kq7IbJ+e6X/QIRnESxF+6Yk6WydrSqAWilEWZGzsFXMMnptnFAGDlmY9C1p1slyzPzXMQdjmW1wGbjW3Kb9nv53xvzdfXEBBgqOGeWAugo5gDRt4Y5k06KUEFjTWOc2p3k1+g2/uvolQhfL+eRpNElH+1wwN4ijGoT1g35FMkUapyOTqsebgaW5xk93wPApiXLqLhPtUI3//ScggHy9L6uYOZVIiizP0XS+8eQ0tqcEvzQuLqpRr8zzOWbwtyLqb/AYmNjBmCcAzHQDI3aSUEkyoR4OGQSiBPd5k24ykqNyVd5jmiaFsylF6EYQkaNhRmrvX5WsAnPKOM8/CyUzYt3uacdtnRIiEP97PPaZhwi7YUUravgg20suxPMpTaz5PHoOslcZHm4/EKDmogYFpigm1FlYGd1qRAf/ckpfum/q367c0c3cH3BV32KZbTGbCyq6QRhyAeWSoDyvyXz4EzRfVfpPkN6MepQlA0HpP9RPlelHBRlZH3Ewv3O52aHG7vpWG+TgcmZS8mPDLqMRHm4+kyAwUt921rRGrGKtihZvyhgbcOEA+5iInnA3PcZ8OOs9EUmZBRnnkXCEa+Hsr4xJpxJTWql90+Q5YZUQrp1GKeuSZ4elrQRhgHa0ZnLXQiZRSDPUKqGx4rp9JJxopjbOwSGLKDuux5mcZUTazTtew4BbDm3uP3RFplGI9rdGbXiRITcCGezITrrIrke84x2TcxjVianWWjUEQBHKGbNMtaXbL39MPHLzc8tJdJPm9HrmZ1KHGfXhPath8+tp18Y+OQz4zEQtgOE8zLmmKUS7hOwAkNU9Dy2TNGYcevRjXHJwQNIqEU4UwIM7oLrwjUtEaHJoDhpBGPqUUjDGy6vGs0dv8lggl5SROtR1b4Zv7rmqaWYQ/1U8sOssrWMMVdBIkdBMvh7vSCoeWBiLfaa/ztawO/Zq3tz3aoZV0Kh1o5CrHHPPADsOQD4MucZvfIg5jpjxOPAjbgXpQjyHyk6pdtoOxJNSMdsTkaI70iY5KU8rRDCy6L/YichsNDWsohYGmLtZLLzQY6nBsjyTcxDdySF2lV3yJFha356wCH9zzV9kVL925JetbhXi7eSv6ukt/wXk4I3UpDSmOF0MSJqI7TkJ22fXE2HGPLtpPe4YOpOS8+6JfKTKvjTM4VkdBIF3GC5qpQTvQpOZXpalL2RRai2HiVNpvcaxjszSYQZ7ZSPE5XK8WHi8scWv5lrKU5fnx693n9llwaN1Mfap33mulce7PIj+KgkhIIN5xfh7OWCVMOot0hEN3ILVnbrHvaNgzxog+1DhOPwGIMbKeauj4q139brOjBnWJJJ8TFvbjPOJv/M2/gedPn/Fzv+3n5K//nf+H34lv/Pg3cPvxrVzQkaLxyzveNTSaucHUTxKspANSQ0JF7ey+2ePSX7DNtvRALKtrX6SuxzXDLRZzrIISdnAaEDN41mfyuXUk6DINpv1akODiQyj81qEZGzR9gzAKhYUdhiFCx7h1rTXu83syeDXj7PctdateHuIN1J6g43/Hm2SDm/KGiFGbiGbUP2d+4xMprl89tsxPKAc74NPTp7gv7rHLd7COA4o8In4s1tQTW1g8VA+iO46CCEYZpCoVZKSNeN5tIurKL90FVVghRIjzeJaMAeccPq8+5/ob7sNEMin4vC4XUxzG2GRMTPRSHm90dY7P3GDplfCrfL/S9QZob+RMNHXsURRJcutlulA2FhOTeVfe0UyH+YPhO1tRnrTQXa6La2n8f7hoysIM7+v3gIUER12GC3n2+TXT+Kz94MVINvycwlwM59ZaCf9yzuGuuEM91Hhfv2dYl46wyTYiP4zDGK+T12Lku86v6XmZmaAYDIE8C7558JQI67h5usqobfXBXVppWEVqyjiNInOKVSy4OL9B6eYO1cRi3xNd/Dnoszz8IEyCWeZRmiA/kfTUGx+U5/MrPC880hFUrGBGQ0mgTaQh8yQqYw0e6gf+9Y6NYGfo8fEFpfcdABDqiwZlRH3APIwkYFMbxRF9Q0vT7g1/p+EkEj2/SRzsgLalt8EXY9uEW1MHJ2etVjyP/LR9mGiUHSbGzPuGt0xKFvoLjWWyk2yBvWzCOSd3mW+0vD8Njn6kbboVbbpWGpuUQ5l1tsbn58/RmY7Uj8Wb46zDrGacxzMixc/TS+1mxyI7j7glLSIOfbzMxweIxTPrKGkSHCVss+Xwc5NtsLVbtIYYV8/zniyHbE45XKVXiKNYaCMeSbpLdyJ5G8xASWxEo30/9SJxG+YBSMHtUUFfjjeHFnGBc3vGvuUGVnIv+grVRDlqGqbYJTs898805SqFu+JOti5PzROHZaD8tJoq+R0osOHxuRmz4wAo0Qn2416m7l5dUY+14HWNIb7Y+88SnSAKuZ3Zplus0zWej89fuy7+kRXkfgUFLEl0IRMAbWjF1AJAdEZ35R0AahHfn9/TKGgHPNaPjF21RtaWZUyM1i5l+qB/wcMoBAYIAaCfezqA3YBVuEKRFDRRRKQftBPXxZfxIgzPMi3F9PJQPWCX7xBPfNAHOyAMQrxevUaiieB7V78TekGWZAjnkAaXJao6CohPO7ZHRFGE03hCbciVvsluMCpOwpxzUJrcbW9+8S/6+/o9J8dRJhPDyU7oux7rdE2T56Kv6tHzMFhWLz8sGwp1iNN0QqwWqUqQMoxkblHPNayxYkT1khWMwFV+hXFkyEqlK9FzXfqLdOPN2NAtvQRCeJ34XXnHdb1iQb1KV7KRmO3MePZlovRQP9AJ7ahbSzRXua1ukWsGeRhncF1cS+DAJtlQRlE/Y8xGFGEBZRXqvobSnHa9dAzNUJYFlZ8q+qn/7GZoxxCYTUaX/Ev7IgdvPXCylCc5nPkwFRzdSJPdYiqFY1FwGA4iTSnCQtzm1cDCqEzYuOxrojLXCZs3BcV43qlBgEAO4mEeZJplHY1MofpwYdYTPzulFaUd84Tr1TUL9WXa99G3PsIf+I//AMZuxE9+9JP49o99m4ba4ha/+Bd+Ec2hwe5mh+wmw7/wT/4Lf8f7/Au//RcAAL/7T/9u/MR3fgJ2pontTt/h4f0DuqZDVmRY3a9k+v3YPBKxmBrZNLzZvMGhO8gK2es725nT802+wdbxEvVpoz5oxa+nx3FBq2XXYvL0q+RTf8J5YuT3S/sC4wzelG9wW95i3+zhDC+SZmjQmU4mSXflHa6La5lyRTpCO7M5NYpTy3N/BgKeUXmUMxDIjZjA53kVrdi4L8mI/rL23GV/xs2WUz3fWDVjw+9r2QSGKoSZDfbzHlfqColmke+1muNM7bEnOXhjZBqkOPdnfH75nBrbniScV+tXZEcPFU7ziYSkdIdvb7+NeqqZDbHwkB2cSAz6sJc1s2/qJ8uEPT/186EwCNiI+4RLn9IKBxxmSu+8b8e/f+f6LJQc5xy2CRMN/aYiDTiZOzUnam3nBmu9RoBAzJ7/zVCZdmzFKJuFlLU910z/vZ1vGVCSMEY8DENcFVcSTOXJDN1EM6JWGtt4y3C2ZIcqqJBqnsn+2fVSmav8ilx90+M8nIWJXQ+cnr9Vb6VoSSPSPnyY1jCzoICDDDa8Fn4wTOz1TUWapTT4W24YhmlAkH0wfl9lV3IftXMrW0hjjUAUsjDDsTti3+4ZLz52bKp84rJqKCmKI2kgfGCPUgo3+Q2yOBPGu+dlezJFlvLPOefQVI0Y57x5GQrSoJ0HbgF9cmLVVxIJ7+ksSZCw8FqC8Y7tEV3QSaFtLDebz/2zRKX7TYPP4TjPZzyZJzbsi78Mig17HjC/4cbdkMCzBACGiqSraqR0w/8ePBXFD578M+iLcb+NhQOssbJxzJNcGr3ZkMw1mhFVV0mT6RPKY01s7Ev9IhhTn3HhJYVZnAn1Jwm5ke5UJyZIL/n0OMpQkVKyTtc0irYvuHQX2bB5f58PYzOGPplA8V24L+/ZYGkt2/Bze2ZYU34t95HfnNdjzXogjMR3MhvWDafxJGCKq+QKaZjiZeA9vc22PD9wQTiElIk4LQF/3kQ+G8p/fN6IJzBZZ/HcPnMSviRf+wbrdflaqCzrgg2rH2zJ9meRx2rDoZL3L0Y6Ernw1/36kWrIFeiM9Q+uXwXFmrqmXcpI1TzMP3yY1mCTbzA1/O/WWLjASedbxqXoUMukxGW44Ll9ZqhQcQ9nycn97PgZkjhBpCJsIxJGbstbeRn9JdtPPfqRE3evI9w3e0zTJFO7Zmgkyvy7t99FEdIEVSQFbuwNTu0JSZRgF+9Qq1q46PVYo+mZDNjMDd7EbwjPb3sJIajHGqfphE28wS7dIUCA83jG+/o9gyWME4TTNtsSw6VjQAF1X4vp0yeFdhMxfKGikfTUnRBYasPjKMY8MX0yDZgM6V+eTGd4176jRjHbIVQhirQQU8RkJmirsQ7WSKMUL+0L8VQLMSQKqME692cWoB7Bpw1mN8sle+ku5KbOpINkUQZYYAZZ3UqRb641w2b2Ndml3kg3WZq1brIb7LEnDz3aMMHOOTw1T2jGBvere7QTi5FIRTiPvCRvihsAH1jD/ve5KTboTS9GxDiIhYnbzKRUwAHXxTUe6gecBnbtPn3Mm3piHWMX79hkDLFMj2fwIHfKiabcKk7rttmWKZ/9WS45byIDaCbdpls55Mu4ZPrcYkBJgxRWE333WD3isXvETXfDaUREssqhO+Dtt94yTTCj0XmdrvEf/sn/EL/zX/yd8s7+tv/tb/t7vtP//v/+38eP/diP4ds/+W189rc/w1AN+E//L/+p/Pnf83/+Pfi1//CvxThw09HNHfSgJWjJWSdbqU9Pn+IquxLdZRzyvW7Ghs86IJQQa600+QZ8Zg/9QTB9UcRpvb9Mx2nEqT3BweF1QQSXXlHu5RNovU54m28ZKb00xlBLcbkQGkJF9rw3gr20L7wAdYzEMdxqMhNWOQtdgAVHMzXiZfENVR5ROrefKacy1iALMnzn/jvQTuPQHXAaTxwehNx8eYb0Kljh9eY1fMaApxVdpVfIYm4jk4gBUS/1i0zj+6mX2O0ojNAOLbbJFvfrewR1gOfmGatkhXW65iZzOUO00jQKzy2lXppm2M500JaEKK8ZHuYBN/kNsa0qFiRdGZfQTkM5JQMUOKAMS9H0e6pLO7Lwb02LGLH4VnrTI3Up+rFHHuYY7CAN3g9/nVuSpjbpBkVSQGvN4kmneG6fcewY760cZWHrZC0TaQ0tl3IapMKSvwwXKKWwy3awvZXzzv/+1yk3ZafuBCjg8fJI4soiqwkCFu3vq/eiH5/sJFuXTbphUTcF1H0va/I84mTz2B2FdrWyJGd4Qs4m2ch7c+kvUoRNjkWDf+f6mZi2IiowuUlyKd5X7/H+TKloGIay/vdBXMf+KBJIv2ndpcxpaIYGh/Eg0s7zwN+9p7FoxedjCQaW7IcJk/y+u5n+oMEQaeon9t/ff58SxoXikYUZEFHm6reBfuhWjaRwzTO9OvVQo7c95nGmId4yW6KMS/GQASSIxUGMdbrmRmBpCn042mUgRrSZ2FAc3EE2ZFEYoYwYGORrBL9l8EbQcR5xaA/cDk1ER05mwk15w2YWLafLOsfkJjxeHjGDA6pqoNG0dKxvdMCN1i7bSQPXTi1D2BYa1tzNDNpZgBY++RcWgkBNo5ThiMt27768R4AALy3zKDbZhvkfzpHcEzHXpRroowh0ADggzmJpzqCAfc+p8/3qHtZayTjx2Ef/fHrGvrNMfB3sgCTi83rsjvwMsFCcoPHSvqCeiBo8d2dq8ZMNa6uplvfovrwXbOR5OGM2MxKViBY/DmIJEIvCCKlLKWNczvt6qhGqkF6moReKVahDIed4P1bf9+Il+jpfP9KC3DurfefsD7kpnCQYoYgKMYyt4zV8CIIuycx+7B+RqxxlUMpasYgL6kSHC56bZxb7S5iO0nTN3q/vMc6jXPbDPAh3OdIRtKPusO5qfiBziBAhBkvHtgv4UCqnEMeMn/XNwOxmWGURg4zoyUx47p5xm94iB1FhWmvM84xacXoZgIzyMAhxFV/JFBYWKMICWZJRQrCEILRTi850UEaJtslaEmegIAEMwLJmiwogg6zAL/1FQovEcR3G/Gs88UI7pColjm6qxWzprMOIEVv9IUHMM4ezOJP1pp9cAIwCL+ICAIQT74M18oghFp3u8NK9QINmuvvyHqEKqW8fnTz0AJgUhkxS0PIkx0ebj2jUWrRmOqQfoExLTNNyeAeZ4JvikfrJCWRHe5LLKllhl+0kchkLVs8Zmi3bsZVC6WiOlJBomlCbgVMQn9zVz/Q0lEmJqadsYJ2tRZK0jbZCCzr3Z5l8ZQUT1LKMPGMvbfAR1GVMt77Hhz1ZGur8VqFHL+tGrTk98H4NO1m0mkFM5+Esn1WoQ67RF17+9//2979SjAPAH/rf/aG/5zv9S3/pl/BLf+mX/q5//mf/1z+Lf+3f+dfw7e98G3EQo25qhEmIn/jOTwgpo4w4ARwx4rF+lKLc6+69hOXUn3ipOIh+cbYzedPFLVYx3fVFQmNjNXB707sewzjgMl5QhAWe2ifMmLGKV1jHaxjQnFuPxC/6xvipYSrbLtuJn6XMSwQzi5ttvgWAD36DnHjRVcTLzzcMvkHNo1wK8iyidnO2My/0mISByU6CE410hIf6AefujG9dfQtFVOCle5HLwoIShlXGnyONUjzWjzxXFqa/L4qaqcFluIg5/jAcsEk3+O7qu9ikG9G4nvqT6Ic9r9nLCWdHvfG5O8MaizAKcVfeYZfu0I89udUL4z1QAbbpFqMdBQG3jplQ2s4tJTthhJfmBQ4k9DjjpAAsQ57v3dhxEuUm0TdrpfFYP0oI0TANuClvSJdatPCX7oIfnH9AysRCflBQiKMY37r+Fm7LW7yr3mEdr0Vy4iU4zUhvyKvVqw/+hEVW4ocBil0ai66loAl0gFSnEgf/Ur1Q4pMyedVPJzfpBt3YoR85iHlqnpCHOV6vXosm2d9r7UTUWz2SMNXPPI+yOGOKJgYZGjjlJGQoj3JKBxaG82VkqnWiE3k3HRxe6hfB7wV6ydAYKI+Y7IRk4EDmrrjj8GhmM9ck5PTrSJOQM3fiI/HNZzM0RMkl3GwZZ1CEH9jxvekF9aqgGEynNdLgg3YfgEz78yiHNQwqS00q21hrLYqUlJJ2amliXXj8q2SFFVZodSuyKjjmFcDxXvG+Jk8UM44ZG56RHukIL+0Lp8o6FPlTERfQkUamMkpJl82+n5b7n6ufuSUxzojefLbMwuhtj9v8Fof2IBseP7gKEODSXiiXtJYma9PhJma0vA8oqsca+26PaqhE/hoFEYzjtuIqu8LoyMvO4xyraIXMZtgmWxRJwbTSjjS6QDP4xjdO3rjqBxL+zgQ4HInDGIeGRJMsymRjBAX6agzvV5EJzo2EBDq7oGYDyg9z0OMQ65gT85mNYd3X0FoL6WuTbFD3NQO2loHJNBNBeJVd4diTnuMzJrxcrBoq1mdqQtsy02ObbeV7+/T4KeuVJXDQOIMszTC09Kz5PBEvpfZIYz90+TpfP9KCHIAQAfq5FwTW0JAuECtSKpqxoV4nSIS37VeSHgGlEy1acwc6oA/tQYqXbiLi7Ll9FoH/ZCbsuz1u01t+YCrCLtthFVE2cT7TuX7uzzS3LTHBu2yHNCB26DyecZ/e4351L1PgIqWO/aF9IEYrYNR1mZZYY43zcEbTNzj0jAD2Ri8daCQ6wVV6hdHSCR4FEd6s38i6pJ3Idt5lO8aKG5pg8iinlmuB0vvDt5s7NFOD16vX1K7GBeI5RpInMAmNIlEU4TajG7+bOjxeHuG0k0M80hFsYKXjdIqrZ0+K8C71PMrJ2TW9FMbN1Ej0rz98/KbDr/e8hvFV+QoanLx4OoxxBs3QYJWs5NCuJ3J9Pfotixies0pWWKUrzPMsF+46psYXIbBNtjyElRNtr4bG6EZ+5sEkhbRy5MsmYYJ39Tu0U4u71R219lODdxf+MVjgk/Un2OUs0h7mB6IpDU0gx+7Ig7m449os+JAum8U83D1qyWvezGxwHs9iWm6GBtVIc3EURtiFO9wUy7QxoATAkvEoZIdjy/hsj3ycZ66wvVnRYzzzhGi/TbzB/epeKAkODp/+zU//e3nnf/5f/Pm/44/9W3/438J3f9130c0dTl+eEJkIV5sr3H58i8f2EcmQcGKzrEc9dcUbhjbZhgfp0DDkamlMPZGmSAoMbsBT9URTWEjCh4/tfqwegQJEXGU7CSrz3oBQ0+QGBRY+dkAakjQQ61hyEXxz5WUHURBBaeobteaUNYx57AY6EM+Mn4Ye2yOOw5GF7njGsTkij3Ny9hWnxTc5jVq9JWqyjErMoC71y+pLfCf6DlZrUp66tMNkyKwfDNnf7djKdCoJiEVcuRW045ZRay2pgd3YiebYeyUmQ/9MqEMcxgPPJjAvoYxKMaGFKqTMS22wSTZ4s34DpRR++fDL6G3PsDKQKAOwkQnAAgSOZ9i5O+M8cKu2TbcYKsqJ8iSXII6jO+Imv0EYMvfgsX7E7GYa/qcBh/aAx+YRh/bA1OIlvwCLwbefe0zzJNsV40hFqscasAA0sMt20mA3UyM8ehManPqTEKS88dEbB1tDyZGPBF8na0khjAMSKYqYjGVvfvWhWaeOf1/nnMgxfJDMOI4IwxAfbz7Gp+dP0U89vqi/wCpeMXgnCDlpzNdCZvITP29ye395j02ykXTTbuzkuZ8s2e3bdIsszkjoMdysJgFJMz5bY5WuGKe+BPocW/pq1gmnrUpTNjoElN44/aEI3iZbVGMlUe8BAlQz/QrVWBFLvBBHGsfQGqU4tPji/AWsZTz87PhcrtIV0X3zLPKLfuxxHPk9lUkpCMx45vc2W5KHoiCCMSwu4SBbV60Y+pZFmQwND+2BycOWP8tNcYNu7ph6qgLs8h1O/YnSzzL9ihrgMjDw7836Dd5d3uGhekAcMU/EzAaP1SPljIpetn7o0ZlOEqoTvWj2IyWemFBzgu83V7uU27N2bOV99UZT78PK8gw32Q3WKQN0kjARCaSf8vamp5Z+HqjlDlmneKPjrGaaHzvKmjzyOQkS+TnjIIYJmeZqYSXhM49ynLoTDMjEP87ENKZBKoSydbYW3GszNsjsh4atGzsJ8wmiAHPHHJZ1xmHEOl1zIzBRLurfsziIcRkuHFSmJMAEiqbT83AWNnwZl+hMx7T3JMdz84yn6okqi8UAPUwD7laUGo6G1Ju0/B8o9hDg5MazNvftXtKoAs0EJmNoPPPmomZsPrx4KsQnu09waA4fwgDASaMPMehGrpTP/RmH7iBGoDymbGKYBiCAxH+HpxBv1m9ovrQU7r8qXskLX481Ep2wAFJAHrKLc9bBaCOpm8ASSGIdojgSo9bbzVsawmaGy3Qz9a95QNalcUYwfv5Cvy1u0U0dDv0BZVKiDGksc4FjYp12CMKABqphkIm3b3aaqcFz/cxuOF1JzHeZlFirNW71LT7ZfYI4jEmzMUQIhQFRW3mSS9iBT8gqc9I9nHLUck40dHherO94fQfpJzPn7ixTWx+64jW0/rJIQ+ogPeHmtqDTfJNtUA1syJ6bZ5mm3xdLIRlQlmI1jZTWWez7PdYxY32HmdOjVbQSCoy1FsooQVUdeuqXg5TbGzjIc+A1iXnIZ0fNRPtdl9ecVk1kvXdT91XjHpZo+pATjotiwJGyJKr4YApvYLSORJPOdqKr9FMkv115ap44fU1XXCUuwT3dxEPq0B/oh9A0SXWuQxZn3EQtVJ+r7IpM5SnG5BhKlASJTGX++l/76//AzoF//bf86/ixX/tjSJMUv/T/+jBh/3P/nz+Hq9dXDOJaAiP8gblOGVDiEx+NNYBi43Vsj0KF6U3/FU2mJ2YkQSJhEr4B9J9BPXAj5FNLJ8upSju2CMIAwzjg3J2hA41NvBGSkdeAVsMyBU7XNKEtE8fRjEhtKrpSBRY6UzDJpe0TeyNE2CZb6IDoOW/23WQMlOnGToYLVykxiaEOEcex0KOykIMMTyY4dZzcxWGM6/xaJtAeydnPPS79RS56v+WyzqKMSnx2+Ywm73SFU3/CU/uEMixxXV5zU2F6fHn5ErGOcZUzffNmdSN63NmyUL4Nb0WGeGyPaE3L34Nbfg8JJ9860AgVE4DLuCSSzKQiJ2umBqtohbfbt5JG2dteGqOn6gnVVMkln0WczoYq5DBijvi9OYVYMSm6n/j/FY/GxGCqJEtE8uSRgz6B+NgfWVA5NtyDHSTlNFZ8jtzohPKRBZkQTuqhFpnWOeQ54k2B98X9BzTbWOHYH2GMEaNspzpc59dMiXVMnfSEllflK565i2bdm+q9dGOYBzybZ773yzb1Kl+2s/ULbgvmOpy6k2xKAG5fTwO9Bn7KnUVMKvTvoIPD7GbsYhaGQzCIKXAyE+VJWkkyrZdCvK/eU6MfBFjHa0SKgVqDGXBpLoIinQ09I7OdkSBhxL0DSseGsJs7CbfxOLs4iKnVznLswh3asRXQwb7dS0hYERXoFf1lfnMa6xjQhFEc+yPxxNEK+24v9KLRjDIkC4IAaZiKBt6jSo/tkWmoi//FG1LruUYRFqIBLyPKcx6rR2kMLgMRxGdD2UUWZTJk8purPKLHJdQhqp7ktDROhbomgYsuEdqRR/J63GtvetkQrOM1jfkZZVC1Jdfb403DIMQ4jYJ6rXuaNB2Yvn4cjigCPh/bYot2avFUPyGJmPEymEFSoeHAoERLM2gWZgwOmxp40k891VBOSY136Ci186bZdbyGBkERAQLcrG5w7vhO+VArP7DFgmHtpx5lWorfcN9QLnidX8ON9Lr5AcGzeRbJ0GQnGEVIgx84vlq9Qrkqv/Y9+CPFHmaGE0GLxZi2SAX81LQea9FYNQPDLtqxxSplopZf+6YhV7Pn4cwid+wEKj+7mQZEQDjJWUBDTxRGso4KooCO9WmSdaCCwqvyFY1lyqLuazy3zxgVu+kkYny017Z1M4uhfbvHNtmSXgGNfb/HbX6LCRM+O34mWLrLwLTGNEyRJeSrrqIVsjjDJt6ISUorTY2qneCsw+AGhDZEEAQIbADllKQklkkphkgxkQQpRjviOrrGJt2gjEp86j6lFCIIsc23cpm8Wb8hU70hvssqK4STLMow2AHK0IwmF89ihCniQi5dC4sJ7Ij7uZf19jDTtR7pSMgXSimJYfYa8VN3wkv3wqlSvMYUTXCTE57v/eoe399/H4EO8NH6I3RzJzitSNPB306tkDU22MAEC+Iv4NZlmAcphv0UNAkS3ORLAQFym9+s31BfaRlS5cM/3qzeCFvbN4qBDti1L7IdDY31iqE0WZTJ5OelfRG5TzMzqU6B5J84YOjI4+URD/UDyqgU/rQPzXlfv+dEMisBBwnBGg0na+M0Yoy4VfHPfhqwc1/FK0SK06DOdVKAnPoTCTQztwfl+usfLF/n62//lb/9d/yx/+L/8V/g3cM7vNu/w3d/1Xfxz/+Wfx4OLHiVVqJrzuJM1rVexuDgkMUZuobmSn8oZ0FG801Aw2GrifEaNaUZl/4imspVzG0ZZmA2Mz//ZbtjjMEqXaGeaqQ2FW3sKllhNjNel6/JE19oEeM8SkiTTyL0iann4cwJ7YKI9GZIlSiZFDZDAxtbebeP3RHDOODBPNArkW6wjtaUgiyFtacF+Hh1jwbziYreJAZPcFiY6LuMa9d1umaDaUeSBiYawRPLxu06u8Z9eU+dt2Fg1CqmQT4LubnK4oyDi6UgusrJlvZSjn7sJZjtsXkUXGsW0atxnV8j0jS8p5qBNFmY4aV7kVwDn7aXx7mkP75ULzyfnCUwQFl8evoUu2yHPMxhZiItt8kWD+0DSSRhJCY7rbhFqYcaj/UjmxbLEC5/BlhlpRmsRjZhUBA8rILCKlvhLrrDu8s7Bt0tAVB6YMPUzR3CkGb/cuak/DLyGQyDEHn4Idnx3J+FaNOhE8/FNt/KlvLcnWEiw3yNRdZincVT/cQE32WLfJ1di1wgsGwQNXiGTI6ptB5F6tGDnuH/0rwQvReXcNbh0B7Qm56Fn4okhdJTtlKQ040lCM1/H61qMdoRRVBgBjcyzdwgRSoks9lwu1cPNdbJGuf+jG7uEEcxCl2IrMw/N2ai52CYB56/OWVBSZSQKQ1KwowxmAL6PuKQVKWrnAjPeqxl2+w3PbPhZqwdWtyv7qkZnnvM04zekurkHKenh+6AWDGttYgKocCdxzMeqgf64oAPCdYLtjbRCRtK2+Pl/AIAuC1u8Vg/SpMGQM78MilZpCrF4CMdoOvZqHsZThiwvlFQ4pHbZnxePEEr0AGstZLl4u+ybuZA04cC7bs9aWwBh4zH9ohABbgtbzGbGbWt5fM91kdumpNC0kp90+9TjL2qoRnpCcjDHKP7kBFSDRX14wv+9/nyjHN3xkvP2sBY3ulFuCSOhg1a0yILWUN538cqXqEZGzLQNVGHfrOZhPTVqICSUL+Z90X2oT2QvqSAMimxb/cY7UjfXfAhOb6MSuz7Pb1fX/PrR1aQt2OLLy5fCNLNOCMaQP9wBjqQpKZLf8HkJjFf/PD0JtQh7oo7vDQvTI1baBNX2ZWwZ31SXTM0GCIW6lmUiQyi0AUQgqaWaRScDxQ1RLMhpP7j9cfSfQc6oJY5ZrS4tRYP9QNDhZRDqkkpsbCoxgq7bIeH5kGm4ptkgyIosCtpKqnHmnq4iP+/XcaAhzRMoTQ7/GEaeDG6AcopbLMtJ8djRRZ3mIqzPNIRrrIrQYb5lTXAB+uxfqQDPWbhn0XsSCdD7b6XRHiJUBzGWIUrKCjhj3YdV2l3W2rl2qml1nO5+D0z/NSd6A4PYzHpAlzbH5sjekNX/aE/4Nk849JdJA46CRKJpg8Up1tlXJKZPHHC0UwN6SMqkDX0YThwTRZ9wHwd2yOemidOTML4wzOwvKhX6RU2OeVLcRgz/S3d0uC6BMP4ZC8FhgrNlvrEMinJVu0OlJakO/4OggyNaVDVTFHbZTsxaSql8Lp8zcLMEOkUR8TY3a5u0QzU/Xr6gTeZtAPZ14fmwIjmZIN1tsY2YwT7ZCbUXS1Tw3qsYULDKaulJr6aKgDAKllJ4M9j/cjgCzh851d950d1PMjXv/Gv/Bvy3/8T/CeY6xn/2P/sH4NKFN58843gsryj/zJyiuTNgb4BbMYGWmu8Ll5jna5pVOqsJFD66PV+7vHF5Qu8Xr/mGn/uhCBx6pmMt07XiMYID80DQhMiUWTn5mEOpNStbrKN6PH7vqcfRAHjRF2z3wI2YyPbp0hH9KcswUebdIPLwMJsmBlG9dK84DJyUlgm5BB7OcPUTvjm5ps0dI+1JEv6rYsCi3s/yIg1zUz+DLTWStEDQCb6r9aUkr2r3vGMCRhuVkQFbq8p93uqn1Abpg0XSfGBBAIrF7r4hQL+ziNEspYOggDVUNHIHXKSFQTEyxplkMU8RybLdFJP1skjJtoemyPuV/eSwWCdFWb9D/8+tdJ4qB442Fh+p6f4RP12vKOhOk5hJ54ZHkX33DwLE322s8gzZjPL9uOhehCiRRaz0JCp9LJh8c2P17fXiibDcSYCb5fuBFvYTi2avkG5okzlNJ44TRxIrYGj5GaXE+1qLb0zU8KwIM/R9zKvU0cp2E1xwyAUa79SxHsZTaxZyD03z7IpCXQgprpAB+TiuwALuZhkDWQIooB8dEOy0WQnFr5epogZdrao+uoD8798hd729DSFuRA+urnDS/siEelKs0BLg1Q2mmHAzcLsZhThIv0ZLrATt88frT6CBQvNbuqwipma++nhU1zmC+aJFKUiKnCdXcsgLw1SBGkgQ7xduIPTDm3HqXrYhKiGCg+Xh698BrOd0XSNYJSTkPJHb7TUoAGzM50gPzfxRpJToYHABoISLJKC7PMgYWrzYnr1TalzDqtoxQbfzTi2R1JDFglnPTGUytdSs5u/svU69kcW91EiAVBejucHE1mScSsyniSoKk/Iuk/jVO7GLy9fyt0bq1gkPs3YYJts0c7cZG6SDQCIhGyTbkQB4bfLWlG07rMiLsOFKcWmQ2c6BGGAIihwGS70CRgO/JqgQRqnWEdrKK04tFhoPBYWX9ZfyvMUhzTIPjfPDI+KVkRhL9ktfiv93D2jGitssg2OzRHt1OIqu6LHIAhIKzIW8zwjmiIcx+PXvu9+ZAV5oBatICBTBWMNmrFBERfiYg1jTi3TMBUYfzVW0sn5l9Kvvbwj32s3PfDdWKab+QLORw771Uw91OKWf2lfUMSFdJGbZCNrlTRIUfc18jTnem9ZzcygpCUPqN02lg7ybbqlBm24CCO7iAoUWYF1RD35S/2Coz0KeSVsQ0pO4gSlLklRMdSlrpIVZRtLQItPolrFKznknXPi8M7jHNuACZX7ds80NqeQRAl1yPMo60atNI7jkTzumTrTLMxgAuKUfCNyU9xIihfwgRfrtX2+6J/MhFWykjVmM9KR7tGNfu3UG77kaZBCdQrvLu+oGc23XJd2J1kVF3GBx+aRzUIYQ480dCmliAe0RqgR1VAJG9Q3Gt74U8QFNakT6TiTpYn43J+x7ta4X93Dk3/iMJapZD0yfObQHdhMuhAqUGJYLZICq3mFPMglWMgjENMgpbkW1CH7AsW77AFImIRTDrGKMYf85zpNLnSqGawzY5Y182UkuiuZ+b+3yZZBOHONueEBvIqpES6jUjBWZViiiDhFK5OS2MZFE+mcw6/+h381ftM/95vwH/yx/+AfxJHw9/X1B37+D+AP/PwfAAD81n/lt+LtR2/x5v4NvvM//Q5qUyMPcvGcVCPZs/48+fT0KckiSwptGrF59Qg8v5KPNAtWjzLz6DDvVfCyh6RP0A4tMs1GthoYXW5BqcJz/SxbFessmp5+kXN/xmfnzwAH7IqdhHVYQ8/F5CZ0Q8e0UQCH7iBGQh9+lEWZSL081cObiduRISOrhJtEH1x0W97iy8uXZPjHpOtk4QcTm0dJ+r93P7FJvl/fS9qdP+s2MS9RDZqr0ihFO7fEri4+i3ZsxQjpdbqznRElEWAoN/EGcl/MlFFJQglomi7jEs8N18Rv12/ZSA5cxYczWfcKCpfpgmNzpGFwKUCdc+gdz+wszmBgSGxapl5wpCkBbNzeN+9hlUU20/g92xnH4Shouof6gUOLpcHxwV1+BV4NbHC9Frq3PcqgFH10ERfYV3scB8pbDv0Bh+aAQAe8azDh0+pT4leDCFfFFe+r48ghh+lgZoPRjbC9RTVXuF/dIze5mCS14nOQ6ARxHKPruN0o4kI2dN3QYZonPDVPnK4vRrZophRnP+xJ4QFRfJ3qSFJRMfIsF9qY376VCZGGOiB9wsskNRgK4w2AxhoELkAURrL98Lrl1KZ4qB5w6A78ORZ0nm+Y+6lHohK0rgUCIDQhDX8hE3/3zR7rlI2kj6D3COPZ0BTbTA1S96G5eJ28xlP9hGZq0Jsex+7I5zOgTCbTfA8sLCUpludDERdE1E4hdf/Bh+/Vf+/t2Iruet/tEQbE1176C03rSiGLMxzbI7cRYSJnzSomvjkz9GIc6oOEZ/nhgG+c8ihneGB75LPtZg6JFkmL59J7gEYzNogT/ueXly/lvEoGhuO0U8tgHxV85TyM4khoKMfpKD6FVKVCNkvChE12ENBDMyu0lpNwjw720h+/KVunRIwGOpD0zcmQfHPuz7gMF+GMd2Mn74VHNqchU327kVumXcHPPAxDGTLMbpbBmrWWhtk4xyfZJ0jCRMhR/r0rkoLhf4uP4Lq4xrE94vPD53ioqff3Rs8gDAjnmGq5TyZMX/t++5EV5OfxjOv8mr/oqYPSDIrx0yBvfAIgq2CPaSrjEufujHbmh61n/vlxYme1Tbc0iM6McfdaSq20rLGCKBDTUhzEWOdr5EEOay1a0yKJGFHsH2SAl2YZlfxAgkSKYw3qiv0k1pvr/GGvtRZSTDVVKOICu4T8zcEMyBJq3b3rerJkML9dvcUu3+HYHnHqT3zZplbY3D6Y4DLwJfe/vzQkvsjjBP3l7DXUaZTKusjroV6qFxzbI7b5FnmU4764RzvTRd/PvXB1vUTj1J/4z0nWWKmV+ADEAAsr3TEUNyK7jLg/v8b0oUzGGDSmwYt5kWjdAAE1spaH1bk7U7eXUrKxbxg5HUURzs2ZcfYh2aen6UTza7ZmcTA2aHWLbM4w2hHreI0woDveOIOb6AYfbz7GMA2opxpP7ZOQNrw5ZTZMuBvnEU1PTf5L+8LVWEJDZBJw9RUqFi+eLHDoD7jJbxCHnHp5xn1nOswzG6vr7JqRvKCm/fPT58jDHDrgs72LWbg1Y8MV/8xLplZEMs0pjaFxEOOmvME3528yjdBNxMepD0xrpRVSnUI7osd22Q5X+ZVMlicz4dKTHPCTv/on/4GfDX+/X9/7vd+T//6v/v5/Ff/E//KfwHk4o55qpheGZAVPdkIIFk7OOkzTJN6HwfIC8Mm5H60/IqFjQb9VY0VD0cR1pzdWj/MI5Wia7W0P1ZNz6ydlk6VhfJgGFCkRez7Z0VoWV3ZmUIUfPgxmwOQmzDMv1cl9mC7WIz/nzna4KW+Q6hSTI2M+0hFuc+p9nXMyPbfOChZSK3J585iBKZeOcdU+QfPSX+R7XEdrnoFhgjLlhLediBzcpltGWi/mzdGMRJU55hP4VL9xYNBLHMRYxSvR9fZzj3qoBSnbTA1OLc1vfggSBAHDjhZJwDpZ871ZtJwaWsx+7dwKkvCEE+Piy1s2sXCMvF4IVMYyfCsPc6Qbyj+yNKNhczljupFkicvIgQ8sA1w8jcTzskczYp2sEeoQD/UDnponeouWQr2ZKJNsg1bSYg0MRnDjd+kuEsBjHFGMSZDwexw7ykmmEU/NE6VWSYY8yFk0jS1RvGGId+d3uPQXSt6UwvvqPSJECGMOIHySZj/34m06T2e0A5tEr893zsnz9uXpSyinEMYhNPh992MPG1gMdsA8cqM0uUmaT0/g6udeqBqH7iAx6P1MH0cYknCloCQkLVABTiMbmnfVOxpJowzQLDA1uMEcFQvEDh10wiTibmKRVsTkYldjxW1TwHdilSy5Fotn6DJcECqmautA417dY9/uWVMMbIC/sf0GB0nOyIbROou+7zG6UXwpXceU7XN3xt8a/xZuihsWwI4bCi8LPI9nhIrvN5aEy3EeJRDwsSVJyj/j63TNon+sYIxBa1v0A9HLTjnhiHsq1mfHzxgglzsBJwyOYWIe3egpLz4v5dycpVZQTqGaKhq3Z27gj91RNs7QQKISJFGC+9U9Dj1RsmEYCnXIU0eyNJMabnSklG2zLRsrywRYAz6H63SNTcLJeBrS+PrsnsmwX8zRt8UtlKO3q7Mdjt0R4zwKZvOlfsHsZhkGdlOHbugQFAHqocZluiBChMEOvHcNz9WH+gEBAsrJ8jtKm6cGZVACM2u9SEcIHCfrPvemTEpkAWVy/UwptQPN05NdzO7q65fVP7KC3Gu+HGiG9JHOfn3+w8Ynv8LwE3XjDJKI+imPahrtiPuSD8vsyKweZ0oZvK43CRN8svkEAGiKnKnHLgNOCtfpWqYm1lrB+PhUuG6mNisEpwohQiQFw2masRFtlXfKh2Eo6+RVshKmtI/+9VP5N+UbNHOD5+oZ23iLXb4TTJG1nIx/nHzMCVzUI12nuAwXPNVPlOdMfBDHeZTAoGZm8EIS0mAxWUYqFxExU9VYyTp+mAaGxsyUtNysGUm+BSOqq6Gi+TYqOGHU/N6akZeOf+H8JGiVrGhocqMcmJt0I3Gz/uDrDCNz34/vWRAoUmbKuEQzNTh0B2iQRvJm9QaB5kvWjz2uiis81U/8mcICx4ZNSxQwKTELGJJ0Hs4IbYg0SOViP/UnNNMHHRw0JAo7CXnwBCrAw+UBVnE6Uvc1mcdzj8t4YfhCvIZzDofhwIlMvhN5iddbRlGELba4zq9xGk541/LCAYB+5Gp36ibpsDfxBrHidPvQHpDFGe6Le+hAYxWvcOyp2fOBIKHmhfrl+Uv+jhP+jm/zWwnY6Cai9a6Da1RDJVOoZmywyZkE6E0xzjFhsJ1bOOXw07/+p/9BHgtf++t3/8u/G3/oF/4Q/pnf8s/gn/rf/FOUPIFbj9AyIXKX7xAixL6jaWcVrbCJNziPZ1RThZvsBjflDc1OAHRIc5DXM5/6EwqQoKSUEk68f2bSMJXwnEN7kAvA9hZZnOGuvBNG7jpaw0U0FCVBgiAOsM236C6dyDw89rVICqyiFd7V76TZlxW5m7HLdtBa0xDlBjHOeU44AAnHWMUrnMITizrbU+MZF9jmWxZIipIDaQKWSbHnKV8VZNQrTb9DPZCJPakJcUGJ2mXg+3G/vpftRD/xvRnnUc69JEwo9YMVSVqZkJQzqxmRi7BNt8jDXMJuvB8oUAG9Jj0zHhT4efjNVTd1gjhtR/o+lFPYN3vBoCaajONNssFVekUayHJmHboDDXOGZ74JDIKRxYmOSM4azICH+gHvLu+47QIHCauYpreX9oX/XxisozUnj+D0ftADbotbydoo4xJlVOIyXmS7M5iBnpp0gzRiQXMZLggQII5j9EOPJE7w0r5QRrNIGNq5RTiE2M5bpndqpqf2I5M7seD9jGMGRByS9nLsjjTchTTc1VNN+YJOGUxjJwwjNy1ZxM9ZLzw8L5X0oXS3+S0emgei6ZaCK0/J2Ad4xzZzA2UpC3qun1GPNZ+XJdDKDyuyMEOe5jhUB6zztZi565nb1TRO8aZ4I9LXdbRGGIZy93npkLOOPqOIxsFdvMO2ZEy6l2FaWCY+htxsApAitRl5p/pNw/v+vZijq5GBRQDvtbflWxRpIV6FwQ2ihb7KrkTm0RuSkrq5E7Sel7J5k7SwsC034R5V3E9MLJ7djOv8WsLJbMBthsebut7RF+W4HepHomODgMmo/r0b5gEIgXN/xi+dfwlvV2/p13MK+2mPeIpxlV3hLifych5mQetu060QnDbxBkVa4OHyABUQD+olrr428H4/55xQV7TWxJ8uATtxQM55n/DsaHrew+3UIo0Jfjg1J56fIaWszlJm2AwNxol88izIkMSJaO1DFSIMQryr3uGb0TdhQAWAGQwO/UE2joEKmHkzTxgmDm5WqxXmaZbv/9AeCEpYUj1nM2Mbbb/2PfYrKsi/973v4Xvf+x5+8IMfAAB+6qd+Cr/rd/0u/Ibf8Bt+xf9gDS2mlyRMREjv5Q7eGe1lKkopaqKWdDO/Vm2mBufxLMY8YCngwbXRuT1L2EEc0vk/TAOs4loxLEJBnyU6EbNOGIT44vwFtNZYRSvhhvuo8stwwV1+h3W2RhmVkvbWGxZivemR6UwiZ6ue8Py76I6Mz7EjDxeMwnWOh3ISJXi9eo3X5WtYWDG2ruO1/A48AcBLHvxUdbYzCl0I/ihQbESOhhxybzbopg6X/oJqJKe0SAqs1ZoPeHeS1M9QU6td91yTh5pr+TIuRaf/2fkz9CPJAb6rzaNcdOx+teQjaP3lA4C/b801q3fs94bToDiiCW0YB7JmuzNNrcu6zmuFRzPio/VH+Imbn8BD/UAWa0SDx6k7QUMLVtJvY7zJKY+pV/SoQC9FACBT0CIuKG+IU/zy8ZdRdRXu1/e4zW8lVOPcn0mlQYgsofGrszT4KvAzi8IIXdUxjGhhXGutkescp+mEY3P8sD3IA5FSBCrgRMI5HuzTgHW6RpmWgqS7Sq+4QbGk46yTNT4qPpLJVZmUmA3pFm9Wb3Duzzj1J1hDrZwGPyufgugUC5pABdi82eBP/Lk/gV/8C7+IP/hzf/BX/J7/g/w67U/43u/9Hv7Iv/NH8A/9I/8QvvHj38BP/Y9/CpvtBuWmxCff+ETSeZWjiWF25I8HKpBCzieDakfZQ6KJnlvFK3LlFxnWJt1gMhOqoRKvhH/GtNYSJnLoDrhWTKrTIM1FuMsL3SCyNBP6kArBDyqa5KyjlrcLuDU6D2eSehapiU+M1dAwhmm1vpgu44UgsISExDpGnMYsfDGzSEivOGWEwSqmmenUnPiMhVYa8clNeL16DYA66NTQvFfm5Yeo9bNBrGMxDe7bPbqp4+W/aPHzkNrvQJHr7s2Cl+4CA4Pn6lkaRd8QKaXQVR0D0nSAIuUUsR1bXOVXaPsWe7PH5XJBqilTmcYJo6Usr+orGTz4FOJEJ2hnvpO7aYe/tf9bsCCR4uAOCMMFdwkWWmVI07z3o5w6xrQXcYFqqpBo+l28BGJyEz0kYGHqcYvVWKEMS2zyzQfNrGahWs2VRHV7XK3Hxc1mhg41w8zsGXXDoLlzd0ZURMzOQI3WtLi0F6xzGsr91DgykUysi7iQyeVlvEiAnJew3JV3wlmHZqrk7Jie6NMo/Vk7GWaHACSPrcs18jhHGqQMOzMku9QjiUUXdSFTW3ODu2/3LMqgJc3V6+gdHJqez6qX/fVTz2mnmZDYRAZMRVIgL3M4OBr2gkQKXu/rKSNucTw3Ws0K9VSLLl1pJTWH33I2YyOYSk+RyeJM8iFer17LhtYTzLxGH4o4VTXSc9TOrQzavrn9Jsq0RB4wk8CB7Phu5BnyavUKx+6IKIwwztzKNGMjaZqP1SNTQxc6SxKSJta7HnlClKrXV2tNYlEQBDg3Zwm9SsJE7urn6hnd2OHUn2Q7skt3NM8PDek75S2qsUIe5ni1eiXNtGfFd7aD7ax4kaq+kvPQh9t5g+lz9yxhTj7RtR44CPDnaBZmpJONF8xgDeY9OTNmhAiZHBtGJAYtMqjzcCYSN6dmXTmezT73ZJ3xn2es+eDTijLoQAsfvxoq9KZn0uzUQ1uNKKQf5qV7ETrMJt1IEFjkoq99h/2KCvKPPvoIv/ALv4Cf+ImfgHMOf/SP/lH8zM/8DP7yX/7L+Kmf+qmv/U0AEPJGqENZI/uVo9ZaAiHyOBd9Vju3hLwvJoXRjKj7Gi/ti6yIvFktVjQnhpprHzMbiUCGhRhRlFPo0MFOVibO7UTTiE+P/GjzETy6z1iDQ3uADhbG80AjjV9th4rTWb8muyvvYGHx/eP30U9MlotBE1+RcFK1yzgh9yuldvoQYuBDjADgbnXHmNmO8pGr7Eoc/mmUcnVsRlhjJcTBT248mWKdrDnx00pWief+jE3GwnYyk0zMngZGCw/TgChiN6iVxpf1lzi0B7zdvRUufBImXN8sL1Y9kh2+Ttbi6PZ68yIqgIgavyyiQXbf7Uk6Cam1i3Us04QkTOCMQ5EWksRaxAVui1vq3jSgDGUDHhnl/+3lMz78xFmHCTQ2tVMrDHJ/YCqlxEmfhRlsaiUQAYBEfRtHw5IGp2e7bIe6r1FNFfXE1TOcc3i7fstV5NKMWWflOZ/MhEN7QD3U+Pb224gTNkuP50c8No9oR04GIs0kuKbnRCYKSfxRTqGMSqFSDGbAJiXZYLBs6vzUyGMlUdHI7DWQnl/st0qTnXD/jXv81P/ov9v7/XW/fhzA6u/x5ysAf+u/8cf6tsdf/M//Iv7if/4Xv/LH/+nf+k/jV/36X4VX33xFvv5Cg/A/+2AGPDVP9DkkKziwCK+GChEirNIVUWqa27pLd8FlvlBHHmaiZ4UjWs4ntHqUaWhCoS3MdkbTN4izWIzpHlXoHP0D1tEoNGMGEk65U5BupJSStMBhovG9tz0+Xn8sMe0+URGgP8dr3H0B6adFu3wnRCf/+2jHFkYxfGV2M07tCWmcsgleqAWR5jZqNuT+G2eE5hMHJBgc+yOSIMFdeYdIMVBFgeQFjzL0JJiH+gHt3GKbbpmH0Dzi2B2RBiluihvkcc4iImBTEyDAbXELgEOG0Y1QRuEqJSnDm7aMYQhXkRQSQqeVFg56PdbYt3v0pheUrad3JUEi5/BNeYNjc0SnOtHFD/PAKfzUIg/pH3punjFOI3b5jg2GNXjunnGX3yGNGBl+nV1TXgSiLJ/bZ1zjGut4TSThD20tvczJS1wUFIxioqE3qYaaabGv169ZIC06ap/CmYUZsZ2LAU1j8U7EGYZpILEkLsg6j0qu5xVTFLuZzXmgAvFfFXGBRLGQK+ICJjAii/DSolVCJno3dTTSKyWG0mZs8Dw8M2naTMxiGM6CEY7DGNPMAcxL9YIZM26KG5EbHLsjzGwE9DDMA7bFliEy3QmbbCMs+dnOAhWYzIRNthFPkw90mcFhhmeRxwHfv2ZsmPwbcQOsQVa/zx3w01TrrBT4eZzj09On2KQbbJOtFMl5nDMwaOxRW25Efaq49ykVcYFpZsOyTbbSyCpHSUY1VLjOrmWLnkYp9u1eWOMKLIqdcxxGRhOKhPSpXb4jmQ2BnEnrYC1nw6k7oZn5O7kv70WWVM811pomyXN3/pBWm8SCHvY0oCzP0EwN5nmm3GRpsryfx6eZelhEPdQkuSm+h83Y4NgesUpWaGfex6f2xOfWWUzTxFpgkUD5FG8HB6UVbuNbROA5U481Ptp8JNz883gWme9tfotVusLb9VsorZDoDwQZj9YtIz5XpjVQipJqj6zM4gzWWoYrJUwHvknJdO/q7mvfd7+igvw3/sbf+JX//fM///P43ve+h1/8xV/8FRfkPngAgEzyfKfnUyPHmfrEYWSggJ9e+8N8shPCkFPby3Ch/MABD9UDkijB2/VbTDP1zuf5jFVA3Fue5JiiCa2lTnIdrz/gFceGyZMxO6VtvP2KjsxPTKMwEk3pbNl93hf32GZbTmKUYiT0EopglRXaQxiEuMlu8DBREuFdwJtkw7jmIJGO00+pL8NFNgbdRKa0l/FkEYsB7zSPdCTdqbUWp/EkYRRexgMHIYV43XAaUiZ06A7YN3tMKfVh+24vMdZwgNEGVc9pUBZyivt5/TniMMbb7Vth6voNiLPE1L3ZvJHpm4/WdYpJWz5A4NSfYBUTB70pqExK0WF+sv5EmoTB8kL94vwFtumWKCqlGba0HILWWIx6pCErzIgM04wDnuf5QxLZYmTxU2+tNbqug1IKh+4gk9MkSDgNmhnS4xmo3dBBBUz+85ra+/U97nGPQ3vA++o94jhGGZaoXIVIRai6SozIxhlELhLU02P3iJ3bCYu5SAoeFAGNRINl2A0A7Ou9IDz9X+e1l5OZxGzjDVeznQXN6M3Vz/UzDDgl+GTziXDz/TTDROYr7+/P/Ms/g//o9/9Hv6J3/lf69eMA/ubfx1/3E/g7i/L/tq8/9b0/BXwP+P3/19+P3bd4oc2OyZ7+EntoHvDN7TdFn5oEDOG49BfMdsZ1cY1hGrBv9pxKRjQ7eV+GZzFncYZxGFFNvIhiHQvDX2myxr1sKggCFldaixwmiWiyWiUrBMu/nqdnNKbBPM0Y3IDb7BaDHfDSv8BZh6v8ClfZFbbZFs3Y4KF6YKOBgazs7si1vLXYt3u8NC+4Tq/x3DyLGfyuvOM76KyQrzzqTylqyAMdiPfEx8v7Sf1KrQRb+/74HoMZsF1vRaM8WTa/w8y8BJ+uDOArGFRjDMZxxBzMgkt7Xb6mznUaZJJaJiUCFYgp/eP1x5QDjix4tvEW//X+v5aJcBZmOA08D304FxwN6O3U4lX2ClEUybudBRl60wt+TymCAkKEgKZ80of0pAF16fVY0ziIUJCP5/4sKbqbdCOyBKXZnPRdL43NaDj4ScIE63SNWMVE4S2DkUAFUKH6YGoEn6vRjAxRi0nCqucasWPhs07WuAoZihTpCA/Vg+QdxCF/j8bw/e8Mp4iDGSQAyFiDaqoE91mNFYPh5k7QfZGO0BkOjrI0kyGZT4jd5TsMM5vec3/Gm/INXtoX4WVHKpJ7Y5tsqVGeiImMwohcah3iqaFUM0szwScGOoAKFClFAwk6Tjk44xBH5L1by2HKu/M7JBHfa2/cWyUrCRQbzIDIRhLx3pkO48jfbR7ngoJcp2vZXmhoHLsjvQcWYlI2MEyoXOSnoxnF8HsZL9glO+RJ/gGna9nI+mZaKQUYKgZCHQo0wnsVlGJzZg0pX1ppNqI9N0fP9TNuiht8a/ctbNINC2LFc++5fqYXRivx2oUqRGtJESkSBuONM6Ufg+U72/QNwpwDhDJlM72OKRNqx5Zm2iDBJttgnEe40iEbMryv3yPUNLee+hNO7Qm7nKmvh+6Az06fsTZYdPJGGTydn3AaGJB1k9xgNh8Qk74WqccaZVTiLrvjHa41zs2Z74axSFJSaoxjUFIe0YsBy/fXGYdmaPD+/B697aVBvy0YlghFbLBxBmHIbJYiLlBGi2S6fcGb7Rts8y2s4Wb+6359bQ25MQZ/6k/9KTRNg5/+6b+7znQYBgzDIP/7cqEuy6OrAMhkfLQjCl0gDrmy8gYFr1m+DBcmlZmZKxVFU1o9MqL5urjG54fPoTXDhawjbnDGjKvsinq5IJaiRzuNbbbFOlpTP20HoqlmTiG8iU4l7Do3KQvHp+YJb1ZvqPlNNjL1KOICpSpJYhmZIudXW1EQcYVlJ1xn19gmTK/cN3tAg/qzhQXs0zX9NBmgrstzxZ3jRRFG1HV7M1cSJShCxiv79DPP275aXWGtiXszPVnHcDQs+XAe3wRNZpIpuY8H9mtVnxTnV7dKK6RIRcaTNDQ2Vn2Feq7JnV1MbmVUymrH6wqNNTh2Rzg4uaieGvJyr+Ir0mEahii9Xr3mxMZ04mSPwghpnOLQHYQh69PV8jjHGNA02ptetKSRpsv/OB9xajlNycMcAQLUY00qimWAjNcLHpoDmrmRn+Equ4KyCz99otlnG2yRBzmiiAZYADQZZ1v0Uy+R6RZWTHaPzSPj3pcL7i6/I0t+mnCcaazJdIZX+SvBOyqtcGkuyIMcBoZpqPEWYUZvgw8rSSJO74/9UfTu9UQNXpEUbHI0zVGRJq0ij3MJYEiCBMfuCAWFb3z7G/h3/+y/i/pSow96hNchfu3/5NfiT/yeP/Hfyg///8fX32sy/nX+Ov/1X/3F/wrf+c53RAJwGS/UwyotZtk0SIUv/9g8kmITJLLG9QmFniJijKEhuH7Cq4ITeOss1maNU3fCY/2IdbJGZzqajBeaQqhDZGHGAjJOkYc5rqIrQWf5ybmPEocGVgV1jPtuj9nNMlC4Thk/P8yDGK7buYWZucVzYMKuDrVI4fY99fR+qpmFPKvyOMcwDtiDbP8kZNT0OTzz/Eq3THhNNpgs1/SecuQ3PWmUCqFimBkM89K8kAMe5+IlSQLKUoKAW5l+6gENrDPSkfyWCw6wimjOZmp4uS9JvP3cE/uZbgXxqDTJS58Mn+DQH9CPTB0MFaVEq2yFS3uBUgpPzRPW8Ro2sGi6BmEY4ja/pf7aBeiGDi5iwZYECdIkhbYaQz7gsX4UKY6BIflFKQbIRBmJV0GK1rSic4bj1sIYGj3flm9Z0A4ctqw1/UzWWYwgPevQHbBO19yqGSebhcEMiFUsG1Qf114NlRjnfchVZmi6uytpZOvHnpufhQ5RxuUHKcjCivfSwDCg/rlIC9HC+3TcU38CwPPOc9l9vsRT+0StvHMYpgGz4X3sQ+DWOZuO03CSkJlxGvF68xp5mONojpK/EIdk6PvtNCzRj93U4dJd2CDMA8ZplOj3IiqI1lzwyc/NM7cJ5Wt+BjBM7C5u8dH6IyEKzY4b4G7s0M5sFJ6qJ+JyF4laO9JUrCPSf6qO0lQfLnjuz7wLh1p8P3fFHf0aIcMPfWEduA+Nrv++m4netTAIsUk2yOOc74fiBqIZGzjjZECnFDNDtNaiec/jXLYtvplbxSsc9IEeq+UdAxZCTcDPNVDMNpksA6eyJBOMs4ccdE3HoKbFw3Dsj9TNxwbxyK02ACG2tVOLp+aJ7Hcdi5KgmzpAAffFvfzM/dxjtjOU49DwzfYNZjDg7XPzOVGqYQzleG+t0zUpVXZCFjKXQkINNf+dxqzNTv0Jm5TBRO3EOgKOqOlxGhkk2TOPoQg5+PL+hB+m3dyt7rBOKCc+t2cxuX/dr19xQf5X/+pfxU//9E+j73uUZYk/82f+DH7yJ//uJIbf83t+D37u537u7/wTS/BKoANBc22SDdbpWopxbyQCIM725+YZAERT7L92+Q5VV8mDmgVMVozCCOtwLfGwh+GAVKUfDpp5RKc6kQ2oUGGKGNwDBYbITA1SnQomzOvdy7CUGHZvtPNpcr5wBSCIQl9k+6nnXXkHpRW+OH1B5vYy/faHnw9H8ia82+IWL80Lvrx8KbSAm+KGKKAlbKMea8o9lsPcwQn/1us6fRz1bXGLdmhRJiUQLGvtZfLttWoWlgafpcGoh1o0gVEQ4dSfcJ1ekzIDK+SRVbrCbXwLB8cYdygmJtpZzLlhTBlPNTAYZeVWsi5yjsa4bbyFiY0gEwFI146AgRWTnXAxF7w0L7hf3TPoYlou97EXvfY223JNNtWY5glvVm+EwOOxhfsTJ595kiOJ+PsMVIC79R3end5h3+/h4HA1XMH0ZJYWYYF5ImrMaSdTnjiIZcPjsU9VX0GHmqbhqZXJojEGm3JDI/C0NLDLZ9IYyouaocG+2+M8nCVNbJ0whbSzHcI5xFP9hPvVPeU6A/V8cMDL/IIX9yLEiOf2WaZ63dwJCSMKIxyaA07dCd+++rbo2icz4e6TO2RDBmUUnHYYsgG/8Xf8Rvzb/9y//Ss9Rn6kX3/i9/0J/Gd//D/Dr/lHfg3+8d/0j3Nqej4hLVN89zvfpdZ6MUtdhgv5sioS+YfHZhYJJV6raIVOd+g6blE8ZtU6i+v8Gqtkhc9On5GAsWhvt6utGM59Uqg0TnCA5ft7HI+cyCpK7fIol6TiNCQCswxJftJKC3EEIeSiKJMS40RqTBhQyhdpGiaNJaZtMpTYHIYDNbq2R+ACnKoTrjLiyXzyr99ObtKNkK/WyZoynIU6UKbEFXo6VqhDruvnXs6iUJN05Kkc3UAJyzpdy+Tc052em2cc+gNer14jjVIcuyPeNe+4TQ1iaXK9P8VPC4uoAK4Ac2DD9OPrH6eh1fR4bp6ZQGlH3BV3uMqvMNkJn7efY60Z2Z0rFkDt3KJwNOlNdsKhOYguv596mN6Q17xgJ51zH5CMw4Xvl8oo21vSBHfZDtVY4aF6QK97XNxFEhp9oFCsY3S2wzpe49JdiElUAT7ZfYJtxuTDLMzQY+F4J7mEnXnp2qE/4Cq7wlV+hW7ucGyPAgEYzCAheGmU4qPNR3h/eS/G9X7kttCnP2+yjQRP+fOtTErSTaCxTteSFglAzL/jPGJWpAeVCSEKXiI4zNz27fIdnutnJDMbXy8zKTPeqaMbEVsW45nKJISuN2zGtCaC02+4t9mW1DI3CRXJb2CUIz45Cz+EVvnwrNaRNe43CHlEOe2po7HTAxOsWSQYaST3UG65/Tl2R07lF3Tk7GYMPXXxYRgy0GjBLGtFwIPWGrcZ7/hVvJIgID+B36Qb3r0DBwCz4c9+lV/BWA4m8yhHMzWShhnpCGmQSmBWb3rAUP62y3b48vIla5eZMqQ8yklXMz1WAWkw787v2PhrNjU2sDKlhwOeakpZi4TqAWOMZJ8c26Ns8LXSzP/QMXYJ5TOn/iQ44jzMmQyuyDhvRzawm3SDl/ZF/l6blEOAdmyRRqzLyowJ5p7eloQJ3hZvkaQJlFUwICFv3+1JrnITZc9DywBDSzOvs0w2VZpNwLEl1/++uEfbt9jkzBEx1nDDke2QRik+P36Oh+ZBMK5f9+tXXJB/97vfxV/5K38F5/MZf/pP/2n85t/8m/Hn//yf/7sW5T/7sz+L3/E7fof878vlgo8//hg+Ut1aopTSIBVH/GCGrxTjP/wVBRELGaWQBAnOw5lrmoAfeDVVUFahcx1uAnK2i6gQXM1z9wwNjVVIPagnhXg5gm8Q8jgXBqrXhM4B2Z4+onyX7eRg8doof1B5E81oRpmK+CnkD38Za2Tl6w0gCkrCcKqGcpzb/Jau6JF0GW/Uc87JClorLXG/fuX6/P+j7l9jbtvytD7smWPM+5zr/q73ffflnKrqG912C+S02sZSAk6adoOiSCAZRxhEZJK28iHGMf4QIUwUJf5gCP6AjIQwAWJkYy5KDJEb0aDgtpHbFtiyHGOauFPVp06dvfd7W/d5n2OOkQ/PGv9dx8E2VeCueLWQ6mz2da25xvhfnuf31M+i/zp3nAYt8gWOuyOeq2fRe/ZTj7qvcR7OnJhoMqtdzLCGx/oR39h/A4OhfjSO2N166UMZlzj2DA7wKZwIWLyUWYnAUn8WK05qJjtJExLqECGo99vmW8yLuTBQFwnTsB6rR07RAo0YMVFgipzi1rSY52x0du0Omc6wG3ZimIMjO9ZYIxNi/0XyOsB+7BlNHKUi/wBY/GdRhmmagCVQPXOC/sXpC2Q6w83sRhBpKvzIgvaX3TAN1JxdCQiBDnCoDpL2VcQFzGCgtUY1VmIuDCNOaTbJBo/NIx7qByFTJCOfgWPPZM08zDHLyJz2Rc88niOOGQPtp1XGGow9V/PeeNS7q3nKNBIMkkQJgo4T2Xk8p541DIRR29kOuc6xyBb4kV/xI/hX/sK/gqdvPuH3/c7f950eJ9+z1+7DDj/3534OP/fnfu5LP/6v/5V/HW9+xRuuvK9T40W2EDlAN3Z4bB6xSlecnA0NbktOSUZDKZVHgmZxJti1Txaf8NdPHbb5FjZgAXkezhJlX4alJBCXSYl+ZJJsHMbihUmQII5iNFMjJrRYE8PamAbVyECSaqgk2XiaJsRRjJVaoRoYKjXYQczNTUuSjHOOaYlji5VeQWmFru/w3DyLodHzxB2IORwiSsuW2ZL4zchIgfbtf45Pmrwpb9ANHZ6aJ07VNDno/vtyP7sXZKoD8yS8adwbx6uB8d1+IDNP5oyN748YjgNu8htJLuwVz7V2anGT3UiRFOsYy2SJYRywjjj19ci+N/M3MkzxMeiHM7XsiLjRnYJJNP6TmzAFEyd6xsi/ZZ2vZbvoQ43GcQQiou8A3jtZmEFrjZv4Bptsw1Ccq0TO+58UFGb5DFM9CY3CDya8dC9Lsi8FWC3VkrKjZCnff7+pCFWIaZqETLVO15jF9E0s8oWk/gYIMAtmWGdruICG/NGMQgcqokK8MF7eVg2VSBI1NLRmWFsWZWIe9M+btbx3F/FC0IxlxFCbc3dGHDOMrpk4RW2GBt3Y0Tx3zQ8p4gLzhCbbwQxYF2s+y5NBFtMPcWyPiBRDkXwC6E12g3k2Jxs7AGUU3VHO/DIusZt2qPpKCv845JnqlMMXRwYbLjI2ppGOsIyX0BEj7zvTYREtoEJKDs/DGZtswyYVVjxaXhLkzcSbfCOhUIMdsM223I5eSW+RukpOmmcElj6QIi1waHmvnFrKNTz6WJJyrx4Xb9D258alv1BbHmikaSrSKF+/dKaTzZk3sfo076pnsNUyJi65sfRSTJgI1hgbniOGcuAp4EbAWgvtODRzIVUBy2RJP03AZNFNscFj/SgbilfFK7LFYeVMHtyAT2dsTh2cDPy00mKSjqNYUIyTneCUw116x+Jf56hMJd66OIyxjtbQkRaS2uhGMe56GWgQBNyowZKuF0b4kZsfQW977Pa77/pe+o4L8jiO8QM/8AMAgB/7sR/D3/gbfwN/8A/+QfyRP/JH/o4/P0kSJEny//PjPuWwGztJakpCRvU2I4MtXECDyLcbGTfZBmEQiqSkSAqcO6KifEHcGkoayriUNMIAAcIwRKb5cEZRJJKESEfkz2otjt99s8dtecvieyAeMAxDBIYFtSDz/BupQhRxIUmOuEbWel321E2kqVz/PQBkGn5X3uE8nDFNXHeWCS++qqvw7vwOi4yrlefzM9qxZRKoc6L7vCvv8MXlC3xz/01sZ1tOuK6Hm1+dn1o2LriSBdIkxcuFaWjZJcPgBoyGSZqfzD/BJt+QCHF9L2cJp9cPwwN610NZ6tdVRP2eChQylWHAwAalodbS46S8Nv2xfuTPuwb7pFEq0qFdu8MvHX8Ji3SBTGd4NXslRJk8yvHcPNMoYgIJi/IhTMt4icEOTLAMetEk+gQwC2IsszCTVWcapqILVbiacjtSCwLQke01s15/+LXl16TADVSA0YxCiWiGRiZ8h/aAK24Vp/7ECVW2xmW8oOq4bWgnBrzc5DfSkDRjg1k6QxJwXawV2c6JThgAUR9gAytJnNZYxMsYczcXk6pfH26iDdNUx1b+jXtDRGOZ0JeQhznW8ZqFz5ULHU+xTGxVoDBYTpfgADMaOEu99TpfE1O1idD8YIM3/483+Ov/6V/H6XDCwy884G/87N/4To+X7/nrz/6JP4vf+r/6rdgddoizGG+/9hZREGE/7IUv7yzNeGEQihEQAWQ9euyPIifwxthZMoOFxSyg0W3X7EixiVn8FGEBpYnaej0nCacxZOl3Q4dOke4yS+mD2TU7CXBqpxa97XHpL0zIizMcmyOqsRJGb9M1iIIITjmchhOUuyYN6wyn7gRYwMVO3ocgCMgt15SW5HFOmZj5qJ8d3SiJiK1pKXMZe4nnviluhOHvfR124gZhd9phW27ZnF/liF4eB0DkK9ay0PNT13qoJTX5fnYvF22s2KT0pkeiE2xLUpCO3RGfnz/HpaO50zPGNRgYN89ILBqnEZ3tcJfeyeS7HVs2MyqWJirRCbW8YY5zd5bCw8v96pGJsOtkjTiMkSimuHr5otYat+UtNvmGHqlpQr7hebPIF0h1yu9ee2ACaX9AplmwL5MlljFDv+bJXGSAb8o3+Pr+65z6dhfiWceO9J+IzGQVUKZ06k70JV23JiFCHNsjTj1Tbl/PXuOuuMMiWQi/fpksMUtn2Dd7PJwfcOgPEk6VKsIDRjeiG5g4uspWfAZAPXwSUPrmh0yd4c/rpk60umXCiaoNLFbpCkVayHM0S2eIx5gymUTh0Bzo9cIFeZSTaHIN1crjnAM0S6NoP/VCKTv0B9yFdyiyQnT+ARjzXvc1Q2QCgzRIhRSWxznagRjMSDPPYbQj4iDGp8tP2ZBdnwFr6THzksNTfxIJk3KKoU6g8dhai2XCIrIzDAwczYhUp9gWWxxbfn+XegkAGPtRNr2zlJsTH+rnJTFlzOyBLuTGwEtJ8ojFOHCl+AwXJnaGCX7k9kfQjz2emidKnIzFm/kbVH2FQ3vAh8sHSmigmc6bFdChFg/IZKlfz2ISyqaJWzhrrSR9fnH4gsXy9c/MwgztxObKWA6j+q4HUm5UvL8tza5SqTAU2VwSJTh3ZzGXFxElzuM0fpSqpIV8JzvTQUdavGy+eVjlJAVFKoINLEKEMmgNAk7xK1PxHBrZdHs5U2u4gZrsxATfscHd7A5ZkqG6VBJa+d28/p455NbaL2nE/25faZgijNmljnYUJmWkWBjs7I5EiCun0k/vqrES4oixRvRVh/YgMpF6oLGlHVu6k8HV0kv1Ql1cRCf1cTgypn6iNjELM0yKxZb/IhdRARtaNF2DS3dBHMV4Xb4WTVtnOgkV8RMnOIhJ0E+/Qx0ich/JKX5S4A1Q4zhKHPOhO8A5h0P7Mab12Bzx7vKOjczY0OyjYvSWf89Up2gsqTOT5vTZG2327R792EvYwcUx7MSHH/mo2CQjfrIx1BDOE2pTT+0JURjhK8uvSDyzR8Et0gWyiPKgMAqROZqk0iiVgrLqK0npG82Is+UXNQgCxIhRpAVWGc0d5+5M/XPMVVM3cGr1av5K/u31WPMzsj3eX97T1BOzuJjP5rATty6LdIF6qGXzEKcxV+1qAePo8NZKIwMpG3f5HdeWV4rEqTuJoc3AYJNtMI+oA/aXxTJbMuK8Owtn2a/tQs2vl3+GlVLoe/7bbsobHNujaPzyKEcSJ8RjJnPB3NnAygH8xfkLfHb8DFVXoTZXuYOiVrUaK64C8xUvE6UExzhLZ4Is81itrif+T6daVn8+Knzf7ZGHOVb5ismQhsl+h/Yg07XX2WuSFNIZQ15Mh9mrGf6B8h9AqENkvznDr/mf/Rr8/F/6efyH/85/+Pd6zPyyvX7mT/0MfuZP/Yz89x/4838A/+CP/INYJkuUaYnABXC14xQw5nal6isxcEOB2vBrzLixBufuzPCf6wDg1DOh1oESlCDgdPPbMaHekxGrGDrVuAlvZB0NgJu5qUGuuMl7qV8kcfb9/j0vieIO25SX+xlnXljIMItm2Lfk7fbosck3MM7gJr8h7nMaSBC4xp9vyy1mEXGrs2iG7WyLqifN6vXsNW6KGxzaA2xnWexefS+xjplsO3Hw4LdHYo4P6OfJdIZPl5/yvBvob6i6SihJ/qUCShK+PeFxkfA77pNKvRfAWosOlKulOoXKFequ5mXpAKWVGL2MucroFHDpL7if3WOZLimLBDnlaZiK58n/+7Iww1mdxYiZhAlu9I0Usqmmhj6wlG3c5CTF+L/fuT9Da01jKXhfeCP85CYm6EYliTZhhLM785xVoRjzvTbWBzVNmKAttcjt2OKHb3+Yk/SrlMbLrp7qJ+r+c5rxnuonPFwesEpXnDY6h0QnWGUreYY/XD7gMlyEAe/gGL3eA+PIqbM3Si+TpWyZszhDVVd4bB6hHKkyFlZSMucJfRan7oRNusHt/JZ+Bp2hNoQgbOKNFICfLD7Bh8sHtGOLTbqhiXeshDcOQNJcofkcXoYLurGTgViiE7jAoZ96hCPfz2HixtJT24w1QljrLc9tbSlhnSXXcy/soANNWYrlNNrnWayCFb0OQYiX/oWZJNfQJ6cc/LI8CzP0YY9c5SINmyUz8ZhYZ5FMCdb5+ksDolrVgknNwozBPCHv4lnElOhtyQFdb6hf94O8aCD4oYgLIAPpY2MDY9g8d4bDmSiMcKNuUKQF0Yt2AHrIVriznVDFypiSEA02vf1AiMShPaCdWgZBOmYnDNPAAh7csqeak/lkTEQeZQw1/It4gXXMnIBLf6Eyoj3hJr8RjGyUMsOmiAvKTsIU5/GMVUSDqVOUorzKX+Fudsfn2hnx7DVoMI+4UWiGBpt8w8wJdJQmgRs+729sTCOy4GXKRPcvDl/gNJwkQfm7eX1HBfnv/t2/G7/hN/wGfPrpp7hcLvhTf+pP4ed+7ufwsz/7s9/xHzy5CfNwLsbMY0fAu7E0bPZjj6+tvyZBA1XLNRgAMe544+KxPUrRnUVMeToN5F1GASUu/YkovkXGRLTjxFXdMA6Y9ATlaLI792cs4gWWGQ/kAJSi3Ja35GWHM+GPSsJUEJCeYkKZ1PtmwVjD4vn6xQkVw2U83syzo5MwwTJfEldnaBSqhgrOOrw7vyMayJFyMFiG6xQRNVuBC8Qg1JlO+Men9gQLi8fLo+je85ArGr+e9e/lPOHf8dBx+uDT9Mq4xL7dY+jpJl+lK9RDjQ+XDyIDKqJCGhC/5gl1iNGMuNgLGtOg7Vt0Q4dAB2KOe6qf0JkOX1FfAcCuWGvNiULA1VBve3RtJwdK5CIk7hoo4izezN5gchPXlRgQjCzUfepdEAQY7IBLf5FpXDd2GKYBeZmLScsHvYRByDVXGGNTbMSIa4yRld8qWom0Y5NthHPr17edoeZ0stxQzIoZJ1YdPQzOcvPjE2X9FiaPSP9RTokXop1auMlBR2xsHqtHSV9TSqHtyTYvgxJFWgim7KF6YFjD2Eta5Dhd1/qGMgNPD/LfoyS8ptNeExbzKBdDbhd0WDo+Kz4MJAgC0cqrQAnL1zoiI3/4H/lhrF6v/ntVkP9XX2PH9fxNcSMR4f47Ok6jyEZ27U6M26/mr8iPb/cAwIt4bLHO17DO4rl6Fm1rMzbUiCsiQhOdyGbGhz7FYSxN7rk/Ywq4emm6BuWM3F4LbpKe62d8fvgcr+avsMyXABgCcxfc4bF9lC2gl42lIXncx/aIXUvztNf8zqIZ8oyT6X23R6ITLLOl4Ml8aAuCq9fB1ILtMyAdpTFcYac6FepRERcoY8oSfGBIMxJrdmyPSGwiUdqjpZ8nVPQ7KHxMZY7DGFppNoWKRVQcUn4w2I/P+Ha2xaUndSINiQ1VwXX7Fyjs6h2W2RJJxO9DMzRwsUMSJ9hEG6zztTSmXpKnA83PIaCs7jSchCIS6lCM8mFAqsQsZQYAAuDSkdyBgBPLRUpEnye9nLuzaPp98e8j2R8vjwCATb6hSU9zWun1/Fpp+TX1UOP9+T3NkzrFqT9hES+w63YMuYoYwhMrbnKOw5EDjkDhk+UnQmQCgPen90xFhOEdNA3iy3l3eoen6gk/fPfDmKVk9Z/7M7dGUc5E6+HC9GXb4jgcxTsQqhC1qYkFdZRedCOJOBZWAsu+PfQu1CEQ0EdWJIUQQoq4kH+TVtQnn9oTt1VXDbPXdi+zJRLFsJh2aHHqT0SbXoMJfQLluTsjiRLM4hlSlSLPcpz7M6qxEnpZHua49BeRDQ5mEEyyz3aYRTPkyxwGhj4enSDWnOx65rp/PwAOLFcZnycLi0WwEE+Ib5attYiTGK9mr6gf1zmxlJbP8CpeYZtvxRg+WiYwW8si0od2GWsIR9ApqqnCZ8fPAMWmfxbPiPUbGTjWjI3IWc4def+LlJzvzpDXHSBA0zdiyhzdKJjgfmLjUUSFpJxXfcVgwb7Gc/1MFYQKhXiSx8S0HrsjNd92xE1B4kpriT/1yN9VuuKAtqPEbJ4SjNGMDW6zW0w5caFaayin0Lnuo48hLhCByodqIJDChxN2ltucJGKtsEop/1unayjN4delvzAgLv07y63/bl7fUUH+9PSE3/7bfzs+fPiAxWKBX/krfyV+9md/Fj/5kz/5Hf/B3hHuTUKX4QLEpI2MZkQ7tXh/eU+yhuK65dydxWXuI4e9YTLRiRz6y3yJS3sRkLwB11CzZCZT6FjHgjqrugqd6zBWI8KATnIA0ul9uvgURVQQC6QZopHHuUReH7ujpGJ6xrA3ZFymixTlPsLYayH7qZc0sNvyVsgzl/6CcaLx6dJd0Dhysy/DhV+cKEUITjVKXfLL0ZMMslALNEMjnNW6r2US+9nhM04xggibYsM1kKYh0FiuZbw8aNcQpXeTMrlwN+w40VEany4/5TrM0WmNFpJ+F6krxs05+QL3pkfVV3iun/F68Zr4JztIaMm5O2MYBiitsEpWQvgIdYjX5Wu53LTSmJs5C7+kYOKYDrGrdrI18c790ZBXO9qR2w7DwtQHUfiJwNv8LWbpDM/1M857RlCnES8vONC1P/by53emE8JOqBmyMLmrD8AFcjhox/egSAqYyWDf7eUZ7kZuUsqkJG0ADMTyyDRjDV7PXktxcekveKweuaKMM5ngBAiEC5xHuQQvLZMloKnfV1ph1+0ot3JsWK21krDmjVNmMgy8GKghPdszopCehyLiRfc4PX40Kk8Go+JlUkalTJdSlWLf7WlUDBReffoKv+ff+j34hW/9Ah7+5gN0q/HuF97hG3/zG9/xmfG9eG2XTCX0kyUzGYaLmZ7GXMOp0r7fYx7Okac5Du2B7HwdY5ku+f5YTlC9MSzWMVLFUJYApHzMkhm2xVZCgZbpEqMZaeY1O8SKdIfe9LIte6qfME+op810hpfxBWXKTeHjhc1bGROXWeoS1VhJzH03dSLH8z9+W96S8BDzwhzcgE2xwSJdiMxFVuRJSXpR25BGdZ1+xVGM59MzN4UKMnTxBi1jDdI4lb+nsWx2M5shKmiQ85Hv555m7X7qqe2eqJ2dJzTqe5xhpBickoc5G4drcuA8nHNT1J4kPVg5muonS7pGGvLinseUgaRRSp50mEsC4rE7yhbUn/fDNEhT4/G2nsutlcapOyGPcnyy+ETW9XmUo4w5yDj1JzZkAc8Q71vxG4oiLhAFkaSoegzpIl6IJKQ1rZCgIkRkMgcOZmTh9/Xd16Gg8LX11yTY7aF6IAP7KmNAwOY6VfTPnNoT3szfiATz8fKIh+aBg6hrLLiXvhhnmEYLS4xdtpKgmcEM4onRgabhc8qRhzm6tIPSCh9ONJAigGxs/Ybg0l0YLKScJFcWeYFIR+L3miaaSlNHTnhlKrxOX0vGhQ/CsbC4zW8RRRzQwQE2I1Gnsx2sscgL3umn/iSft3WWWRVuROxi3q1XQo5zDi7gpNs3BEopFuSG0/VZPENvetzObunx6Y84NAdKTizpNxOIq/XEIr+pzKNcknaNNRIb35hGNqtLLDmAi1h/pI7FYBVWEmSkA826Z2Tey0qvpIEzlhNha63cVYtsgW2+RRqlMlRY5Ss8VU/Q0DCKwI0xHlGGJWYZE7EX0QLrYk25pgK3FQqyKe9Nz8Y6ZC02S2YcUrV7pCrFKlqhnEogAA4936MiKsR/MZiBoYE2luRhpRWSgPehzz7xcuZ5PBc57Tyeo0gKPJ2f0DoSeULNRsUPIXbVDq+Xr4EJMAEHqst0yUyXK/zgw+WDaPIjHUGHJDBVQ4VlvhT86nf7+o4K8j/2x/7Yd/0H/VdfvqjuTId2agUSP7kJ82yOdGJx/dK8YJVybeZpIR6CD8vDq7Ncr4QhsW+Tm1CEBd4Eb/gB2QCd6xCChIFZPMMyXeLYM0J9chMvvq6miVMBuc6RJzlSm4oBwjor4TK96dE64gmbgRISz6v2bv9Yc4JzGRg9n8fEQZ17FmXeHOUNKQ4O5+4sprs4iNE6Tl7hWEi+VC9YF2tBeDVo5ABbZkskcYK+6wWH9L56j0t/IU89TGCMwcVeGGWc5LiM11Ve4uThL+MSzvHvEiumliaKmu1tuRUGd93VaMYGH6oPmPV04C9TMpCtsxK+8tjQ4LLMllBOCY94kSzQjR0dz2CUdD3Wwgr3xpoiLuiCVzHO01lWqnmSo+2ZOproBLNsxnTOK8Lr2BzhJmrX0pgHdqKpQ7sv7kWDfuppgolUhEQlmBUzVPsKX5y/wLE9ItYxXhWvkKgEQzBI157rXFBSkYqYgNkeEQYhKlOxsRl2lBHZCW8Xb6kHNp1cVIf+wC47UvQITC3eLt5ina9pWB1bnPsz2oETta/MvoLRjXiqnrDv9kh1KlPOl+aFGL0yE63jaEfAgc1UwAYsSskLDoIA23JLHbSFFOcei7kYFxiDEVEQCZMaAScn3rDqk11jHWMWzWRyrJVGP3ArtX2zRb/q8faH3+LT5afYFlv8Rz/zH+EP/+//8H/jGXH5uzxL/m5/3nfz+uy/+Az/0I/+QzK9jHSEfrhOJEEEn3/WV9kKN+UNdjUZ328WbyhLiXPk4LPSm4+Ek2N/5GQQZFxf+gvCIEQcxpSr6Fg+R620hGOcO4bNrLKVhGVdBl5szjoGi11N3V5i4KUf/dAj0NTNGmuIKbtKppx1ost8NXuFQ3RAP/ISvZ/d02+huGc/9SdJX9y1DCYZLM8zP3lzcNJ4L2JGsT/VT7K6niZKdOKYE9o4jGGNxTpbC3Z0cmReX7oLnuonbgLNhAuY/pfrHMf2iA/nDzj0RK4tkyV1xWBRdh440bTOIgITUaOJMsM35Rss86XIDryvx1hDDKHh9HTf7IX8lYbUeb/ULySCOXo2ettLoqiXsJRxiSiMoJ3me6T444EiXek8nPlMBBGKhOt2P9Fspxbfv/5+hCrErtnh0B7wyeITemayJeZujueKJBunr+ccrnruq5F2XazRTTTU+Wm0L+IBFpbd2KE2NYq4wCbZ4DJeSE25ylviMKZsJuCwpRoq7Lu9BOgsk6Uwtl/qF6yzNU24IQNhEp3wjnFOtL9pTKzodrZFPuQIXEC/xFVWUvfE1+VxLrKtWMX0Ml210qG+JjRGEUIwBfJv7/42Pjt+xvCcZIXaMNinCCmL9MOLbuxk2xDrGJPidtlabosfLg94qp6EAuasE5kFwPqgnxjk1Y4tPQbX5yvVKZ8pze/dQi0Y1x6GUP1HWQ0sfSehDnFb3AoS2A/zkpCSoWNzRDVU8KE/fqPr/+w45HR9kSwE+XyOzyL/9DWLVho3+c1HVPS1GfYx8P3YS1KvHzitshV2zQ6Xln4EYw3alpuiTGdfyhFoLbfw/llLElJeppCDUwsieM/9Gd8ffr9sBb6y+AqJVVdQh0cH+t9/1+xwHs6CQa2HWgLDVtFKivBVtsJ5PGM0I+7KO8ziGc3e9RHdxHqpnVq8O7+jH2z9NURxJAOCru3wdHkixz8IWM9kSyJDo0IM6jrQWMZLUVGch7Mkk6uADdl3+/p71pB/t6/GNGgvLdfo7ZFM2XTOiQHYTS/LJc4d/7HrbI2q40GQhAmNHaaWw97rvbMoY6LmtSD2wSiXnt221mRrQlFiAQdsyy3O7flLGqjbkh3tc/OMx8sjLgnDXLqJ8om78k4Mha1pkU9cyUx2gg14aZZJyQtWxcLVbEZq0Z1yX0J6WUfToHHkbtZDjcN0kIthCshLbYaGaVEqI65QAR8uH7DOiSbz3NC6r/HZ8TOi1YKrgSmcY1Wu8HJ+EcNJO1AP7UOVrLXEsuVEBNYDJzJjwOCgY0upTxiEkgQX6hDH4chmaKImU4eadIOrKTQJOdHIE16gHpfmAiL/4jDGqTnxi+MmrPM1BjOQoTtR7hOnbA6yMJOVs9EGi2Qh1IU0Tmm0sZw27Qeu2sugJObRNEhiHnSbYkNfQBjjtuDnfe54QZYJUVvLeEmcmRngAieJau1IFJmPZraw+Obxm+jHHrfzW07s7IBvPH0Dx54IQTMZ0XF7k4pn7AeO6/ZtsRWpjD/we0PtIUDNdjXS3ON1/MYZjAM/n1jF8t9t0Aob2kdW3+V35LafiG3bZBvs2h06dIgiIkK9htEpor10xO9MGTFwKFLkv57bMyeNEwNiDh21gkVccAocxoxedxahDYmgcnTR/4Z/4jegKAv8gd/1B/5rz4j/Dxj6850mdf79fP1L/8K/hP/43/+P8eO/+sfxw//wD+Or3/9VPoM6g3UWbXJNMbyGS/k8gMt4oZH6GloCx41MoAKJub7Jb4SKE2u+V4fmIDK4WNPzUMRETwKQSaELHJ6aJyyzJTbphhvF03tKjBxNZ5nOZLIa6pB0kSjGKl0BASQp0FjSo2YJ3+kszAQD146tBKZ5bFkUcOLlzZiTm9jIXlFt3zp+C6O7osKuTUQURVhFK35njUEf9QiGQDZA1VBR0nZNzfOrYQcOCvIwl01VEiWoxxr9hQZSb9j2Rttdt0O3ZyKpR9nNEhaUo2VQnMdEvl2+RRLSKCZBUFe6hJ/WeoZ3PRDp6NNs0yjFZbjIpjcKGM3uAodTd5K/a296wSWmSKUQKuICcRfj+fKM0Y3QDQ3Dzw1TfWfxDMN4TVq+pgvnIVMB/SDn2FF7PdgBESK40AnNyRuGfbOQh4yU9z4SMxkxV/rPXGkFbbRsYkY78nMH0XF+W+3BBIf2QFLPxKntsT2iN/QredqF0FMSFqJ60qg6yqyW2VKY6YmmPOWxesRtfou78k7uj1xT+uLfO0/+WJQLno9jizIp8eniU3RjBw0NqyyUVpKx4b93i3iBKZ7w4fKB279rAM6+3WPX7rDO15glM/zi8y+y2J5tkVnijo8tJ+fn6cxkyGILHTA7I+m5AdnmW2zzLTcjxuClYwhdMzSsQaDZ9IHkllVE/bUny6U2Fa17rGOEAf/e5/6MRbaQgKRjd+SWZGwl0bw3vfizPFs7UCQ3eXPnvtnjMlwEoVr1lKAFAVGQkYqEUhM4fs6jGxFMgaRURwGlHUrxHi7Cq3Sv3uEyXHBb3FJBEIZYKBJRsoipsJeeqoFIRzJsC4KA25DAiZfiNNBDEQQELERBhAFs+j29CgBChDgPZzhLHnsapx+3y1d5WBZllGAWlBf64LQs4jm+ztaS5F4mpWyGrWWwUB7nCMYAm4LDBE+lyeMc5mJgjJEE4F9WDvnfr1dnOrS2xbdO34KZDG7SGzrbr9KDxjRYmiUCFUhR2Vmu+j/bfSZR4EVEs8GxO3L63DGxM9bEZgVBIIlM3mRXj7Xot7flls59cMrxdv4WL80Lzj27y26i1lo5aprbscVJnah1vq4IIxXhpX6haepq0Kl7kgEW2YIGn5Apbv4i9FQLAB+DeVSMECGUU/IAuMEJLnEYho9pWa5GOIUINCH/ZVwijzjhOXdnfPPwTQYCpWvAQd6/1KaI4xht30okcZFQX+yJCLOYRIhFytCjPMnRTGSTDmZApGkU3bd7REGEeTzHs2HaX29JmVmoBeYZiztY4DyekaiE9Jnr9KweiJHz0ceTY0RxihRw1FdWI93jk2WhDwdJMvQITL96UoGi/lxzJT0Yrn5n+QxFypS+tV4zVEmF6IYOWmtZSzvHQlmBXOUAgTCUnSXNQvUK0MBTS2zbp4tPBeflNZOJ4opbacWp20Tm777dfylc6dunVHEY4252x1Ch6yp239CM2089FtkCreFn29kOb2Zv0Gc9OtvhsXpE73psog35r9dwp4vh9qNIuNLv+g42s+Ii9zHUk52QRIlMLCIdYRYzLMRvd4qY5J5FskAURTg0BwZEOF4qPmrYOYdTf/pI6bim08YRV4xaaabTTj1+xf/gV/y3nhP/XRbbf7evv/QX/hL+0l/4SwCAf/P/+W/i7dfecjI7HqUINdZg1+woiwoghutEJ4hCBpd0EwuFdb5mwt71mYlVjHqosavIuF+ulji3nJBvig3OPZnQi5RBXaPjRbTIFuIZsLB4vXiNL45f4OnyhDfLN0hVKszvduTwo4xKCX+aJqYnVl0lEzattQRVORB56mlCoQ6lQSzCAqf+RGQfiFn1zeppODF2PuRWzYcPpTrFJt/gpX7BqTnREHmVM7SmZfOiNf7289+G1iTQjG6URj+NUiIlr79PMzR4ap7QjR3yOMe22HJDN3KC9nxhAMzr+euPEedXDXszNMhiTrMBYFNskEe5aOvbsUWgqEttxgZZxKyCaqhgLc8EWE5XfSM8WA4QvObY+2hGPcKGVlIyvffIkypmyQzn4czviYqF3rXIF9IUzBMi1oylAc6H5KyzNd6f3wuZ7Da65cT06qHRAT9PDU1zZLbBc/UsG5jGMAF5kRIve2gP8r+NM9h1O5QhhxPH7ihT1zIpcWpO6KdeZFPrfC2BZzqglr2femhw21l3NfIkxzRN5Dw7whMUKCnwm5HB0K/UjUwnDYKA99d4Hf50HOCtstWXvqde5uVS4hT95srrpE/9SchnveX2rkxLkr4CcuE9yrQfexaT6YLDmqs8bNfsZEOcaeJsi4QNYzM2MmTyf788yjFv5jiPZ/TjlcAGCIrXf3e9p0uQfYBkGcyTOcaJ2wLnnNwbWZRh3+5xW9ySjd/s5ccnO4mHqDENChSYQtZH/vnzTWOo6F3ppk5oJA/1A5/paUA/0qswGgYdFRGlOX6gWEYcDHqZly9m0yiV7ILRjiyawUbW11ZlwiyXD5cPKMJC8IW96fF8eUaX8P5yjgbcNEoxGcrEQheKrNRjI/1dFqkIz/UzQ/OuTZ9Ppv7+zfdjV+0Y7uNrRAfc5DeiavBy5DJhgOJL9YI44ibPm7snN6EfewyWW/PLeCExKC2/67vme1aQ+xVGpCLAAo1tYEdOgUIVyjS4TLm2702PfbtHpriO9yQK48hWnkUzTGAMquebdlPH1ajmGujUniRwR+JyrzraYeIUBY4XxzeP30QeUUMYqhCP9SPKsMT9/B6X7oLPd59Dh5p6cwdcRhrjltOSevaImiPVEWU2hqOE+UQ6ku7XWCOudQkeuaKKIhXBTAZPzRMd/df15uvZazI4pwHbiBPVZmxEm31oDzAwuC1vRQuaxWRpH/uj0A0cHEKEaIcWs2QGZRUcHB7rRyLAijskYSKrc601Cl0AFoIXm6dzGEN9ZDVUcpCPbpRLwTOXHai382l5XpN66sknTzXlQaf+hJvoBmlEmclL8IL72T1c4CRl1cfIexnGaEccuoMwZYuoQNd32BZbvJ69xm15i3ZskeoUSUSO9ziNcM7J1McfHFlIlFRnOtQ9CQ6RijC4Ac3UIAsyLMIFBjvIwfVUPUEF3ATs6z2qsUIURoIcy6JMuLD1UGOZLqVoTXSCWTTDoFlIP14eRbfsAuKwYImrVLFCaEOa4jDD4+URy3TJMKZ4Bh1yG9LbHtM4oSxLFtFX2dVgB+hJY1WsEAYhns5POJojLt1FGlRrLQ7ugNviloXl1KOwNKz6ycAsniGJEsyjOekejtSebk+TzDJZihzJH4it4cReOabfzZYz/Jn/158BHBPaVsUKv/t3/m78xT/3F79Xx9J/6+uXfvGX8AM/9AOwylL+cTW2ellJbWpBuaZBSuwZyGCO+1ioEmmU4v3xPSffAaV3WZJhm2/xev4aT80T+rHHFlsARKie2pMwqsOABaEnVviAn1jFeKqfYHYGeZozIC10eGqf8Lp8jdvZLZIwwVPFNNx+YAPRmU60sCFChFGIcAphFM+iPMql8QAgOnQLKwXCOFE6E2nmEHyoPiAOYlhl8VQ/IVaMsm7HVqadzdAgjognCxDgdfYaQRDgQ/UBh+bA7+3ACeA4jYIF9Gba2UD5YZmUUGCREE+Un71r3uHSX7DNtsjTnGnIAYtoqyyO/RHN1OAmu8Gr8pVIbdqxlSl5b3pe+NOEOI5Fm17GJVY51/nH5ohtuUWAgNKYaxy9p8nM07mcNd5rAUCwtd7Uuc7WsNbirrzD+wufDRc4qIkIN2+oW6QLWdN7Y+ylu+CuvCNKL3AYukFINJObPn5v0xm+tv4a/vOH/5yTeDisE3qm6rFGpCKhcVlrRYN9W96iNS0eq0eRTlhYSXBepksxgV8snwFfvBZpgX2zZ9F59QZNhtLUur8SSyJOx7uxE8lPqEKhmVlnBVXom6AAgaRXJyFTiW1o8eH0gSmpYUbSy3UTNE/nAIBUkXLmC1w/7Q9VKMOyvd3jPr+XBtUjKn2j6RxN+euCrPkk5J3STi1u81sqAEYa9b3R9WSugwpjJAzRf46n7iTkOf9ycMJz9//mwQ7yLHnzvUcthzqU4ZZSCtZY8bR5Ikg1ViiiQpqcSEciP/SMeWMNYRFXLTYCoB1avD+/Z9r0ld9tJoMhoLm3VCWW2RKvZ6/xUD1w4+ESoc6NE4N8PFmqNdwsqkCRpa5CKdhX+UoktbXh5D4Or0mzUSaDsnEcYWBE9uNpXz71et/u6S8IU4RBSLTzRPrcdrbF4/kRm2zDRHZdI4syJqpeTbarfEVPX0sJ1yaj726YBryr3iFrGVI0j+ewlhS1yU1Q9pdJQ/7385WGqXBXv3n+pqTG+Ul2rGOG/igWbbuGa4YzzjyUQ4UojJh8qBTSIBXJhSewAB/Nm6tkhQmTrNiiIAJiyCqttzRp+QfVr55DzYJ1miYg4sr43J9x6A64yW+YqBfQ+OFJActkKTQPz1Htpg67eoewpAPYTFy9DW6QEA+tSBjpJ+qS4zjGMA741vlbeJleqI2/UixCxfeoNjXqgdP4fmJCWD3WaIcWY8wvl1Y8jC0smr6BjjXCMMR9dg9nHbnWbkSWZtjoDXxyoHFG9MB5lON9+x6rbIV9t6dhKpnLNqPQBSZMwiKu+oqa9jBBHuYooxJKKTxUD4gRwwUO63KNXbUjWzfiFK8ZG8yiGRYxp3/N1EgqWTPQAOVj3401LChAA+6X0GQBJ0LeTe4NTN4IHCsWAf6C90mqdrIYg1HSFtupRaYYbT65icXHleKwiKgNbIcWp+7EiUmUYbQj1sma3FnL4KNLd8EqW7EbVyQFKaUkiCKNUtRNjZfmRXBh3+6Of6qf8KoksmnfUs/6XD/j0l0wS2f4vtX30Qdx3f6oQOGmvAEAiWCex3NGsl8jgh0cesfPKg6p0Y+CiHgrw5Q1z2iNogireIVlsuQBrgZs4g1Z7taQkJAX+HD8gKM98j2OYqRIGVoTNkjHlP6AQKPICiQqEY7vN47fwJ25w0/8kz/x/9cF+b/4v/4Xcfdn7vBr/8e/Fg94wKW7yHMTgFHhk5twrI/YzDZYZkuZUnuzsG+40zgFRsr3vAH0fn6PNEolVa4aK4SKgWmTm7DIFvA0EaV4mbVDizAMse/2iMIIn6w+IQ2pJ72iNjVCx+/CMl1CBQp35R3iMMbussMuYOHkP0sLJjSOE39smS2poZyuYVeGISX383sUYcEz7MothgNlepqTexUplGFJypChFndyE2WGlmfIc/Msz/toR2my9/Uen58+xzbfIgtpgpzFM8ogAvqGGtNgHdNk61F3q4yM4dGM2Ld7nIYTJSFXXJyPLU8ti7osynDsj7iM9Nac+hOavpFwt9awAdrkG8EWaqW58cshssVVupJicrQjcsVizH+H9+0exhncF/c8JyZuOk79CQAwGSYIzpM5ltmSceVhhh7XIB3rZILv1/p+q/dqzsyGwbKQ9aFonlKmoUVi6T/Xaqgo73AaZVBSk1uucF/eS9Hp/VJxGEvewofzB1zGC6wldSuLMqQRn51VuqJ+/xpA004tZpjJxs2b6wfLTY8fRPnUVuN4X02W+nSPkPTFtf/xWMdC8fBsaO+3uYwcLviBR4MGgxnkGQsUJUZlxAL627NBgiAQiciyoFep6RrUUy1Yx3EaoUMt4UYqUAxKChNkmmnHMz3DoT2QoHbVfHtJpILCPJuLpMrjFS/9RXJLAMqC/AYnCLhdLHSBSTMrxSdcGkO4wkpzYzC5CeeWPqxVtsI4jeS2Dxf0pheNt5fbeITvY/VIT0cY49gcpXm9dBc81o+IA27s2rFFH/USbNSZDvflPbdM8ccG5NsL8dZQ6x5PHLypgISeZmg49FMxOjAVths7kVp5elcSJLLpmOxE8ty1DqoGIn89/nOuuZn3Mi1jecdYZ0VWcm7PqE2Nhf2IRh7tiAkTaWb1I9+va2BgnnAgoZ1GPzJJvpoqqReVUvSCKX4/vtvX96wg92+uDjWW6RIv9QuxgsmMrOme7ueqq5DFGakehpPX03CSpLoiKmBg5CLoHItgY4jyASBFXDd1WGUr1F3N1WeSoggLFBkRS6MZRcw/YmShqGK8mBcAnCD4Q8xfXq1lAVjGJR6qBzSO4TO+iPX6RD8Zmiz1wv7BUo5yFh9T7LFBHjwf6ABFSLnF5CbRdW6LLYqwQGtbmVYfugOxYSqRL4tPW+unXiYyCIBcUeuWRRllIVGJWUoNqe9kjTUi7VkkCzwGj3i4PKDuyWw944zG0FTqkzlbw/fj2xOsFukCE/jv9rq63vXoBk6wjTPIQ150Xrs/TEQVrpKVPCsIgJviBrflLY4N0Vm960WmpAPNtf44MMxGBVgnazZchml2geO04TycZeqwb/aSyFqPNBMVScF/60gjqDRsKsAiYYyzcQbKKdHSJWFCvWOUC1UhmAI0aNBM1P5/bfE1HEeaJ52lPnaeMvylHmtZN/um0G8+4oB4S5+Od+7PRDPmG7ydv8UiXeDQH+AMJyrrnJub0Y14bp6ZCOoMypDSJlyxYc3YIInIRR/NKDrZSFMGlkc5aRjGIEz5OTSmoa434mHn8Yl+K5CGKaKAshcDIyblWTTDEUdi/fIltbFjw98vLrgJiL58Tvyrf+JfRZiFOJ6O+LP/+p/FL/4Xv4jqVP0ynVJ/59dP/89/Gn/63/3TqEtium7LW0mubaZGUm+nYML3rb9P8gr8hNA/3yJbuQ4SYn1tGu0kUzcfHz06askjww3S6EbcxDcIEIgZrRs63M5ukUc51tka4ZwFxKW7MDkyozbWT5IfL4/MMbD87N6d3vGityNOzQlZylCZl+YFXcRVu3VWAqTm6RxFWiB3bCCH8WPYVWMaFGGB25JM6XZsEQcM+7gP71HGJd6f3zMkZhrkuzjZCa1t5ZL0U8FVRMxYPdZyXu6bPTnSHiWriETsTIdIR9zeXQu8bbHFLJnJQGUCp50e2aYChbqvcagPOBkGJXmWNkD8WW96rIs1J4zXAk4FCjcFSVSh/mjO7ScaPOuR/w5PhTg0B/QDfx+vPfeFt0elek+NLzyNY0CSN0KqQAlF5DycuV3KV7h0F5GL+QjvfbuXNOMwDPFUPeHcn3E/u0eqUjzVNIeHCPFq/koGF/49nSdzOecjFeH1/DWSMMG78zsUUSGeLL9J8wbKtqceP4i5PYp0BG04kfUJrTrQ3NhBy6Z4nszxRf8FcYDXfA0hO13pZUnI8/E4MBG3GTmcsY4Dp2kidW0YByACtNMIQiZFlykxoUEQcLjVMTTPb2xCxbAvn2I52AFlWsJ1Tt573yi4yeEYHmVAtM7XSLNUmh6/ATo6kpWmiamp82wumm//XnsPw7dz9/02wHtMfIPlC/Z9s6fOWwdIJuareHlrb3osM2Jq/XdskS4kCK8aKmRhhnk6l+GedVb8BS/Ni+TDnAfCHebZnOeHUjIcC4JAimWPw53FM9icja//XDSIGfSJ2v7f4OA4hNI5NOg7O9qjbBGbrkE78L7wTdupPfE+v6b/WmdRmxq2sWh0g09Xn3I7FRVCkgsUE2ctLN6f3+OpeWJSe09Edjd2DHdyVFbs6z0eL49Qmqm4fvsX2ACDo7l3Hs+hwXva+31ChL98lJW/ny+/auqmTnTB/dQjs5msDMKAeq8iLsiBnejiVWDqVRiH4upVCd84G1gEU4DzeEZkIhIgopjJeIrF/yJdoN212Fd76JLrsBAh6qmWyUChC3GJVx11zEopPFwe0NoWiUqIM7s6ap3iqiUMQnnAZwmnAp8dPpNV2GP1KOuXNEo/GhevB7YvGBEC747vcOgOKJJCDImeIbzMlmiHFpnmCqc1LequxsWQ1LDMGQvtp2tBQBdyM/Bg3eZbLIsl2p6pU0mUiHnHwmIwXK0WMYu/wNGAdWgOeKgf4CbSIxYZdY77do9lskQcx6imCtPEcKIiLISPGgYhetdzM2EnIPn4hbSw+LT4lFsJxfQ4rxl01glu8O3iLQ88x9VTGZfYhTsaF02FY3NEGqfEYcUlFtmCaMX+LMYSj84MFY1u/dTLJH+0pGlMA1e2nsPt17Sn9oQQnJYB1AEqKGzzLZ7qJ0pqugsGSwTaPJmL6SYPczkg6pErsllK/X8/9iJ5STX1btVQ4dAdsCmoDW8nGiS9BCTVKaCBu5Lmud70WCUraK1FJ5kiFeRTOzBNcZ1zRT2YAbfFLYsGw8Afay12Nd9P44yEjaQDJ223s1sGL4FrzjzOUYQ0vB2aAyId4b68J2+7feaUdFJyUazzNU3LpoYZDZIkwevZazbEdsTizQJ/6Gf+EFznsF6u8SM/8iMw1uClesGP/g9/FKcPJ/y2X/fbvlfHlrz+vb/67+GHfv0PkWDT0WzVmU42L8uCW7KHywNezV8xZS5MUMRk+1pnUQ819v2ekorranuyE3pwApMGqUyAJsvEvziM4SaHznWIikgMa93QIYmYdLxMlsjDHGHIPIJ1scaxPWLf7dlshRGaoeGma+oRgtuy2tR4f3mPaaL8ZR7MoQMa8OqeFI4szNg0NzSAecNjGFBm6Mkk/UiaVaTYYZVxiXagEXqdr7nJCgAo4slCFcqWr58+aqsjHSELM2mSd80OduLq3SPdHutH+h6SmQxKvLlNKX43m6ERg2GoQuzqHW6LWzbrV/O0T/GMggh5kiOLKRsrkxLVUOHYHnHpL3gzfyNoRgUlSdNi7rxGjJ/7s2wvVcAY8cEO+FB9wEvzIsZuP5EDIPK5Y89i06Po/GZOB1qQe5ObcF/cSyJyEibQWpMupaj/9wmn/dTjtGcuRRRSCnmZiNHd5Bvqm0d6RDrTia/FIxz3zR6d6+QMXWUrQYEukgXKtITqFYNtdMKU2XiOp/oJ/UDzbRZliB3NtJ6MlYQJNvmGfPeQ/OdqqNBNHVxLk57HQnqphX+GtdKyFbGWpvoP1QcYQ4lJP/W4LW+xztb0YzmHoidtxet+lVPUwe+eiAhNeM8P44Be9fIZD26A1hqzZEaykrW4jBe8c+/wdvGWOufrEKsaKkFXxhG/r8PIP+/N4o2w1f3L4QoLuDZe+LZ6zmuwPZ6v6iukUYqqr+jvueJM45QNhJdseIqS3yR72U6ZlERWBqEgcwEW/4t0gUt3YTHuRhluXXpKkDrT0Twbl+iCTvJE4pDoxkgTUODx0qfuJIVsERcSxtON/LVFUsC2FrWrJeE2CChf8ZkOXlNfdRXGiJvGeTLH4BiG5M2ukY6ENvZwfiDW2Wm0Qyu1jFMO5/6M5/oZz9UzPll8wiYeimb007dQJAWlutchU2c6PFfPWGQL5qAEkRi4LyMN3fezew5Ar3kl357g/p2+vmcFuU8vfKweRd86i9l9+e7GT4e8w9uD9v0U89AesCyIrFqm1M7dFXdkulbE5ggJYJpQpqUEEK1yTsofq0dx5/uQhVkyQxEV+FB94EpPazjlJCL60By4PooKbPQGx+6IdbomZueKmQMgurc4vBp1JuC5o4M+CiMsoyU1v9OI03SScIhAXQ+P62HY2au+E+Sgb8stmeZjhxixcKxvZ7dYjkuSDJxBrWoMbhCN677ZwwUOr8pXSOIET5cnpDoVc4K/rHrTC1TfWouXhimAN/kNcYtuEtrM5Pi5RCqSqO5Qhbgr77Attkg1tWB+1fjSvHAVdf3yOeswT+d4f34vhlhPOSliqfTo7AABAABJREFUhkS4wEnqWIBAgkk8himLuZ5dh2v0I7F722wr6WkvzQtmyQzzeI5FtpDNxWQnmQL5lERvwD20bIRW2Qr7dk8yzvXg9KtQr4/2K+K2b3EezhjdCGccVMQgj37qsc7XGN2IDzWd/fOYa+ltuSWP2vOVY04G6pFrxUV0ZdOqAE3T4IvTF5zsXRuNaqzwUD9gGIlkWs1WXMtfuc93+R3iKCZntmRBFYf872W2ZNCKUuKjmKYJTc+JfpEUWCZL3Ba3aIYGz/UzgKsGFx+bFd98JRGjsSc3odAF0YwNfR9pmOJ98x43xQ3CMMTlQo3+fXKPdmplteicw6tP+HyO00is2TWI5WzOuPvKHf78v//n8fN/9efx+/8Pv/97dXzhD/+f/jB+z4/8HqzfrnEezth3ezr2JyvTojAM5RLLoxxK86bdFtSF+zV6HuaYAq6e0ziV8Iss5HNdDRVGQxrVZHmuKafw+elzLNOlREqvFSfgPpoaEyQePFQhZinJF93Y4dAeaFCcmATrnJOQLBMYzLKZhMw0Y4NVuhID1zpfI4kS2VL5BrnuahyHo2yrxmnE+8v7jxHoGXFqAKedRcgtntZamM9mIj/b+2WW2ZLa0iuG9TJeULUVAh3gdclMg6Zv0IWkqvj4+nN/Rjd0UkDVY43kwkJxNKMg9i7BBUVSiKTDJ6f6ILe6r0Xy5+WCnemEhX5X3okGHGBx5QcbflLvi/NLfxGamLNOUIr91DPgKJ6Juc7L9zxooEgKkTD4Am2ezLEtt8x5GBizbqwRPKV2GoEOUIYllFb4vPucJLOhEbmDAqWfoQ7x/vJeTKdlUspnrwIl+ut+IqJRQeGxeeRWyDSYmzlui1tuoMcaGvz8RzOid2wwY817MA9z2IThNH56fxpOmLoJx+aIl/aFHjFrhevsp+ezaMatB64kmKvp/eHygA+XD9wsKscESMdtxTpbI1KRpLi+XrxGalO8NC+yldCKXH7TsxEuUur8vZm56Ru0E6VLiUpkYLhv90wJT0sJ8jl35Kp75nYWsrHbNcShfvuUG6CsI3CByCf/Ti/rrHga/GBOBRxCpmEqWRs+6wAOGDFiUiR+yBbXb+jsgHSixNPnsVhrYQPmbdwWt5jHc+y6HVTHifioR4FlRDoSeRQsZCrsN3sJ2HQcmyOiMEKhC4RhiENzYJrsNaskj3NudSzDmsq4lKwWPyg0qZHgsQABioRkHOssjh2n6ctkKVLnY3vEF+cvKK+0zPfY5kws3XU7DigR4KVhvoFPojWOhbZHsMZRjL7tobTCfXlP069pUVUVvll/k8OJ4pZGflBiZBw3wt/t63tWkPsvShEVeK6fsc7WNNMNF05Grua+YKKe+f3lPZnLcYqb+Aan9oRDe8C78zusshWmC1MRx3DEZKixG6aBBakLMEtn/FL1LdKYD+IiXUgyl+eHb/Mt5tlcaBHjNMIMBpX5mIY3T+aIw5irL0eJCxRNOofugNfFa+RxLqiybb7FvttzYnPFEl66C07NSb6wq2xFB7GdYGDkIrgtb/Gt07dwrI/IUyZcmcmgNrUET3hk0F15h3qs8Vg/whmHVKcILNdX3cSVzOvFayn4ds2Oq9liKdzReqglSEQFitHXQ4vFjISHMqWj+tyesZ/2eL48Y1NsuLJxI3mlV3pBO5Es0ZmO7/+V49yaliv1K21lcpMUBctsyaAmy81JkbCI3Ld77OodqrDCuT9LwM4sncl70Jsem4LrJZ+A56UqcRjLBC0JGSTgNf8+0TMMQjGp+oM1SzKs1VqkPrNkhnnCcKJpmmQtFyJEmtDE14wNuqATbZvflhRxgW22xSpneIb/OyMkeWedrhFqFgXWWcACu3pHqoZjcdWaFi/NCy7DBV9dfRV5QIOMT3/b1SR11GONu/JO9N3WWUY2X1eSACVes2yGMmVA0cP5gSQgDSyiBTYFUwrzKEcWZQjbEA/VA2YRzaNFWOClfsEOO2zLrUwp2rHF++o9nttn5DpnmqMCBjfQoKwzJEGCylboB3K5Rzvi0l8wj+eYMAETRHLjmbzOOa4v3y7xa37y13ypIP/J3/yT+Ct/7q/8sp5hx/MRS7tEGIREYgYxwoQbqefqGbN0hvviHpNlErGXVPnV+6bYoJ96PNfP/GxHSjV8mIWfzpVxiSijhMhTn1bRCoELSD8yHQvlGdn13qylQCTZpeckbZEQm/dYP0qRfF/eI49zcqUHkkyCIIA1Fu+b9/Ide6lfcDe7YxDG2GIWz7DO1lJU7k47NK6R9F7jqNv0lId5eKUWWUamD9Mg3p2n6gl5TASbDyvxtIZmYFF6ns4SZJRGKd7O3yJPOHl+rp5x7Bi40vQ0ifqJepmUOLUnTAHRjBY0mCc6kRW995142dow8ftx7s54rB4FA1rEnJ5t8o0QPrwu2b980TzaUSLNfYGtlZZzNnABXtoXGhVDjXWyZqGmNezIJrQzPLO9bEYrLcWcc060z98+Rc3CDNk8E4mUny63Q0sJVNfgNJwQhcxcED+S4rCkNrVQu7yswr8fSZjgpX0hNlLFuMvvMFgG1QwjcXTerGdBOZqDwypd0YR31TL7922Tb9Aa4uyyMMNLxQK5H3s8jo9YZSspaoMgEByf97lkNsOlvyAwlA/dlhwc7NodNe85qSnH7sgNhuJ7VXc11vkabxdvcWgPeLg8SHrsY/XILAtNGc6+28NNxEh2PVNaszATKVUcUv44GJpbgyDAqSeub57NpVDNogzb2Ra7eodds8NNfvMlHXgWZpLyGYTUixtrRElQxiULezh0I5Og8yCX7QsAGSolUUIowcC/7yJdSAp6b3qMhijo1vC9KZIChWYI1Kk5YZ7yu3oZL+K/qwZupHANHFwkC6RJKhPzZbL8UmPqscMucBiGAR3YHHsAQTtxMz+YAatkJTxzv43272WomMsQBiG2wRbN2Iin40P1gf60K+LaOCNmY58g6v+Muq/Rji3agYnJZVrS5A1IQJvP1/Db6sZQLjrP5mhNi2RMAAUs0gVzPRy/z73toaYrXtT1X2q2vtPX96wgj3UsH8o8mjNUoH2RoBWj2VFnccakrImkiTSmZkhpssRnIQu5WTRDHhP47wNRqqHCJtuImaI2NWUDkxZ3dZmU5J8G1HGWSSmF4l15Bzjg6fKE83jmAR+XSBMmmlXTdSIMmmX2zR5xGEvBfe7PwrmEg2hClVIwhg/PeTjDWIO7GXWAXiNXJzU+P36OoRsoN+haMTS9VC8sCK/605vyRnSbvmv+cP4AFSqUYBKmsgqvZq/wavZK6DI6YBy7N55sig1W6UqY7mEQ4uvnryPVqaR0wtEkmOpUNhfzeA4TGAzNIJdO4AKYkWaTVrcwMLxMr02VpKDBSVfsDx+tNVYxjVlaaXav10l3HucYR+qvW9dCDbywhnGQ6PFhGrDNt3TuJzS5xIr8VM9WP3UnNKbBJt2QaAKGqOzqnaz5BjMIUi2cc8plwb9zFETYlBvBenVTxz9TJ5hPc5z6E4qhQBhxWtqOLT6df4pVscIqXVFXeZ1GWWvxyeITzJIZvnn8JqPs+xqHjlPM3vIQ9Ye4c6Rm1EONT1efYp5QWlAPNbqJmKjSccLlQD9FHJGw4hzDWvwUpx96JHEiDUvRF5glM34vr0lnu2YnSM19s0e5LDGP59Q7XgOF/DRjla1EjjHYQTSHcRjT4GhGcayHfSgx2ACnQMrRTNw74tBgSeXxuvg0pI62vC/x5//an0dVVwiiAK+/+ho//b/5aXz+8DnebN9gU2zwb/zRfwN/8v/yJ/87O8OKspBt1LbYfmT6jkzhHesRX1dfRzu0RO/pEK7lBPXc09wVBAE2+YbR4DoWM6VTDrNwhnW+RhRwurdMl6Kntc5+TF29SvE60zH4JGEB5zclccg8hkhFmKUz/tnXDdVgaED0nPtu7DBNnGBFiljRNEolCdM37F7Hu8pWNADHB3zf8vuEGeyndD5R8jyekcQkUQhx6XoPLHN6iFxA4kcSUHucJ7kUYc4S99aMDTGoAZthpRVeLV4hj3Ls2z1GNSJxpBZ5CUrveqSKZq5MZ9AxpSK14YWcx7kUbgg4sewmGgb9tjTUIQZD2YEvFFXAYjW1HyeeXvd7Gq9GzWvwToBANOZZmInuepWtROrST/TV+MCYwAXSnHmChCeKeGKLgxMsKQAcuyMhBME1WMVanIYT6qHGc/PMQY/WEkDlExRnyQxmMng4P2B2MyOmM+gEA+cRtUJ7AsOIIhWhUOQ1Hxtq4RfpAkVYYNfuKMOarlhVRcnEvtljlszE+JnGKZ6bZ26ZwgxDQhlnM5K9fupO3JT0Z6wzJikHCITbfWgPHBioEC81KUTzZM7Eb9OiGis8N9ehn8pwDs64KW5gYRlcVmy5ieoqVCO3L+3YQkfMF3hoHnA/u8fr8jUuw4W0G0e/mb9nfNiOtTTf5nEuPjD/GW2yDcxETfWlv8jmBaAe3JN9/AAHgNCH2qkV4opSREtGijhVTwfy8qRTc8JL+4IiogG0dKUEmx27I83j5T2GacD7y3sc6gP2wR5P9ROx0x23857ihCt5zt89sY6lKTGTwavZK8pRrvkc1lnZrJRxifvZvSCTlaKZMx5JDZolMzG2nvuzSMv8e+PgkASJpH161GOsY2Qd/w4TiHO01pIuZifcFXc4tkcxGudxTmTnwGc9j3M8Xh6JbtYR8bw9/VOzjNJBay2yIhNM42W4MJE1KT4GRU6U6AyGQ91QhZgn8+/6TvmeFeSLdIEgCtDGLebpXIqmQ3cQzM2ECdZYSbI6d2c8XB4IiwcNbotsQV1mMmMh5Ri40PTXiFtMTOocKceo+5pa22zF1U8zMYQoXVJ/HgQ4dkceNHGBu9kd6qFG0RcMTfAGrb6TUJtn+4xFupApv5e3RGEkDnw4Jp5FYSQhG95ggSvA3qf6bRNKPaylVnIWz9DnTITb1TsadaIS62KNWTrjwR1ovNQv2OQbkSP4L8yhJz7strwl6/c6wbgpbqC1xnyai9a8iApJIfQmtLvyTi7W5/pZdIRJSK74aTwhCiJC/a+rqM52OA5HFGGBTbkRJGOoQwnTQACaca/u9SDgBG2VUYtvwZWUR4X5rcdD/SAXlf+9IhVhkS1oMlUBDWdxIVOIXbMTtNu5OzMw4OrM3+ZbEnv6i6C/rLMo0xLN0ODUnXBT3OCuvCMpYOyRxZmscT3SK7x+nYw1WGZLmMgIrsyv58zEldZoR9HS6ZCX4jydY1ts8f70Ht3UwU68MI7NEQr8t3q8XhiEOPQH3A13uMlv2PQBlELFSyABqrGSgz7qI0wTneZK0WXuNelBHwhbVkHh0l1YAGhqRuuxhnIf3+sszJAn1w3QyDX94AZEE59tf5HGKhYJl5kM1skaR3eE0fSOLOIFV+YqkuCuESNSxfCMIi4og7IGy3TJWPdAi+Eof5XjLrpDpGhmKr6vwOKe50GZlPhd/8ffhd/0v/hN+A9+7j/AH/i9HwOIftNv+U34t/+tf/u7Ord+1x/6XXA9pzBeouYnM61psW/3mNyEm+KGybc6oU+ifhG6ziLhlNyzhWNNXW03sfl7aV8w13MskoVQEi4jqVGeNOE1jj7Wvjdc3QcBz7pI8+zx61m/4h0NQ6y8Vvncn3G5XDjlGwehEH1SfPKlpjmNeJb44DAvV/KhPh5T54OOspheIJ/GGamICYvTFQl4bWzzmAmn22wrE+pDe0AwcliSRzka0zD911ohQ/jUZWMNIhthnRMZ6LGfmc5Y1A0NltmS0/aJwSzd2KEZrrHm6GXNjoAr9t70gAbvGRdIlkCAAOf+jF29kyY+cKS0fPtUzPPXzfRRyz65CeNAeY5WlHNkETfCqaZWPNVkQ09uYmF+TWk11iBBIjKa1KZC7fgSsu9qih3dCOUUXjpOnLupg3IKj+dHfHH5Aj+w+QGkSQoFnmWn4YQP1QcENkCWZqiHWjTf1VgxFM05IZ6UCVHEaUgakN/c+VwNa6lT14HG4/mR/+ae1KtpmpiKOHaCl/xw+oCX+oXDtGnELGZDMDkWWv7cnKZJNoiSmHndrISgtDXWlOP58JlEJdy4gbkWtWHmyDiNgl12jsmg3UQPSBImyKIM5/4MFzhkCT+nMi4lcdvCinyrG5gv4LX91hFocBkulLCFoXzf8ojJo9tyi8EM2DU7oQylMbdW3dShrcgnT3QiRlIvg9p3e5z6E/+e1wAnH2ZjnYXWGvflPWW8lh6tp+kJgx2wTJciN/GBUL0mJvG2uMUwDXiun/FYPdLbNPXCVfeQhlSlsIGFtRZvF28R6xhfnL9gaFDE4ZiBkeFYHufAyOa86iu4kM213zJEigmwb5I3GC3vamvpU4qCCCYgPEE7jcFRZeCJZwoKl/4iiclxGGOTcgj72DxCQ2NTbKR+eKgecGgpOfZhQF62GmoOz7bFlqmlV5ntOI3EGkb0mexrst89zrge2ax2Y4fX5evv6l7xr+9ZQb5Ml0AMWSHGmslyfu2tA41Dd5AVeKT5oeUu5yWn+ODiysj0F4Sz7OLSKMWpPaHrO5pBJ2rJkzBB6hjkYMEkNY8d9MaF03DCJt3AWMOpy3X9aayBAkkwbUCzQBIlghfyiV+h5sPrXdld1dF4MEVcFQ1X1JJiQIuzDu/P7/FDyQ8JrsrjGB34BZ+lM/RDj7M+4+2cX4LX89dQgcKpO4lGsRkaYeSmYYpqrHCT3WCVrtBMjUzAPS4r0xlGjMKe7c3HiW8aprgpyAP3B+AsmeH9+T23GFe6TaRYBEYqEnPusTnCBkwjHB3XUKMZcRgZKNOOrazGYhczGlgFQp6wgRXPQJFQS39sj9LF+67dr4OX2RJz+9G93pmOem+QbPD+/J5FiSUSMwkTuNHh4fxAn8AVXXRX3pFGcy26NsUGX5y/QDd2nFaqCGM4SoSzD4oa7SgyokxlMhlxoHTIOmquW9Pi1DIgKkCAOKPpZ9/t5dBdZks2I9cp411+B+OMFPMO3AhFKsKhO2Br2MBN04QkTLDMSQcqBpJVvHPcH9aX7oJABwgtp9PGGqZKaiU6Sz9x82lo3dThMl6QBDSk3uBGiknnWJhAcSI4mAGJSqBjjZf25Uv6wizKsG/4nXq7eAvrLJMGpwFBRA1ePdaS9DZMZMeO0yhFx115B88g9gjSWHPa+Gr+Cuf+TKOfivDJ1z7Bb3z7G/FDP/5DqC4V1qs1fvxHfxw//Tt/Gn/t3/1r+E9+/j/BX/53/rKcS7/ld/wW/OD3/SCiMsLv/d/+3i+dWb/+f/nrEa9i/Mu/9V+WH/vn/q//HLafbIkaHVvZss3jOebpnGYs8P1PHKVSx/7IPAAdIxjJ1V+lK2zzrWAHPUqtj3rBvvnthqd25GEu8r4xuD6TrkQ98O/ST70Ufl6+4s1S9UBSkp/0KRBJV4/cIhoY3GQ3mCbiQIuYUjmfiunJObEm89trhjtzTUm8Tj+roSKaM5+h7Vu4xGGTbji9s5MYWVfZCrGKJdmziAqUKQuCtm0lUXI0fB6HkJPEAQNlICqECmnGiyJunjxW0WcT7Ns9VMTAMI/Y3eZb+CCSwVBi4nGfduK/oZ96BCqQkJbn5hmRipDGnJw5OMl88C8/Kf9w+UCsoQPyMKf2fmRScRZmEvQUIJAi0dN2fCjLMA1I7Efy0rfnJfhz+dvlDZGK+DyalrLN8SOZJNGUbGRhhjAI0YwN9v0e2mrkYY7YxHioHnDuz7jJb6AUG/RQ01w8jvSKzFNuyCawOcyQcQs9UA6STsRl1kONaqykQVJQ6Icex4mkqTIuea+NvL+yKJPmzm/FYkUCjwFxtX5iP0wDnGVy6jDRjzGP59ipHR7aB8onIkiA0iJd4DJeGNZ0TSD1gUONoZzSb7MDF0iUu0ca79s98pgIX68Rb3oOgFrToq/YeFoQ9+jPLdfx79iPPbIkAyKIzOrUn5BFpMj5PI1QUQJ3aA5YJAts8o2gEY/dkdPYoUU3dFhv1jDWCM7ZwvL3uprIvW9h1+5wP7vHXXEHpVgzeHnc2yWlO4PhhnuWzHA6neQuaoYG5+6MMRip9U6WmMdz3M3uMEs5HTbWSHPwUD/IlN97obxkSSsN4wyWIXM4ChSC8hztiBz5R7a8TsQkXvWsD7ysL9UMCfND0W2+5Zlp2RS+NC8ow1JIe5Oj18EYg8fukZ6LdAk4UCbbc/BTJjSfj26Uhv7cn7HNt/zMgxCrdEUymukkMMtaNmhxFONQH77ruvh7VpA/N88YBx6u7dRiHs2RFIkE0Xj9nTduNANXIBPYtUwBdeLPFXWqftXYDA12zY4do+IavTb8gF/6F8RDjE22IWoqyTi51jExckGMQAc8OK/mh7qv8VA94H5+z4Lo6h4vkxIVKmzyDSNUo5yrDEX+bhAwJCJWTHeqxgo30Q0GMyCMQkSORhpvJGjBlXEe5ZQpXI0Cxhpe4jXNEdt8SxauUlhkC4a4tAfAAjcZudPenGqdhYKiZiouMTZsWLxJ0Ad1GMcvU6ACidO1Eyfol/6CQ3eQ5EpPKfn8+Dkezg/IYq4KDz0fQq+F29U7zLM56QsT2Z5PzROcdVCaU1Fn2ZQ81U+CRxqiAS5zcjgWcSE6cB9M4g2A1XhFNxVzKMU1eJEUgOPq9tJfMGHCS/Ui9JKLpZnQTAZlWsIGLAh7QyzcmIwwk2FE7nWV/Mn8EzGu+kQ3v0Ie7YhVtsK5PuOL4QuGOSmDbbwFFA/td5d3iIIID/UDirBg0xmRmz/YAbDAOl+LHn2eziUl7f3lPZ/FawE62EFW6GNLw1E91tKwTpZudy8L8AmHvel5yIwsYCZHCk03dvyM+wPW6Ro/uP5BPFaPGKaBfw8d47l6xkv9wiS29GMarN9sLbIF2oE/dj+/x6W9oHNsAPI4Rwhi+0Y7iiRtW245lbiagg4TL5RUc+q27/ay9vR812ZscGjZpEsIA9g8rLO1yCAiFSEECSO+eHz16SusClKGvrH/BvJtjl/3T/46/Orf+KvxU//ET2GoBqw2K/zan/i1WCQLHLoDypsS//xv++flzPrB/9EPYnfafekca9tW/C7VUEGD5rx5NpeLf6EWMDBQmo3iptggGRPZRvgCFOCAwrv0PZ7PI0yzOEMCXtqe6+9lT36o4fXOXgKWaRqoPZarHVvsmh0vua6SRiIAjcr7bo9esQlQUIJbezw/YlNsSPa5/t26sSPmDSxu67EW/vjYMc1wna05JVM8szz3WCuNY3dE1TMl1NkroaKvaGyzbO7cRN/AqSeKMAojdFPH8/OqV903e5iYvppIRXIRa6WhNWV2h+5AXbcbmBOhJjFyzuIZasPiJAojJHECM3H40kwNXmqaDO9n95iFM/SuR21qmpHjHM8NaUJv5iRo9IaT+1fzVyyujkwiHKcRuaPfxQWU4WitmVhpPmpPJztJInMWc0Xvz9565AbKFzkAp8SedZ6FbHiPzVGMh4GigW1TbjhF1ByANAMRnWVY4jJe0NgGN/ENbrIbDHbA+/N7DG7AOl1/JIWYCvVUi9zAf2e9Xt3/ezxt5oe2P0R8nFLIwxzd1OFbh28JJasdWuy6HXM3VCy/Ng4piyijkhLUacQ8ngshyIHSiWW2xF15h7/1/Ld4bhmmfSdBInJXr1HftTsCJOIYL/ULVvkKSlMr7Jnw/rugtJK8ijIpEQURvqi+wKv0FZbJEtVAGcwyXSLXnJh7SU010Gh/m90ijVKm3hoOCauuYlhWYEVaUyYlJkwCKhDZrjViEuxMJxIMTwTat3u8P73HTXmDZuAmxE/UQxeK7KJICnyiPyF/3dFTlIc5jh2Thn3uSBRGODUnnNqTNHORjmQrEWvKPhGQmjRP5oCDyFj27Z4m9YiBS550MzlKSHw67annFmiezCVwzA9tjt2Rw0w7MijvOhBKQmZWmMngLr8j/ro/4bl+RqYzbMstcp3jPFBWihHYLrYiV+4M77k4jlGkV718x6DILMgEEHHuzhjNCAVuLHfNDpt8gzKhTn0ez2W71JkOD/UDZcMFhxfjxK3hd/v6nhXk4zQiTmIhkhhr8Hh5JHs1YUfcTi2nLYEV82XgAoxuRDd00i1O8UQcm2Vx+eH4AVmc4Ta7xefd5+yMHN3Tngveji1uZ7cAIIfdGIyILCcfuAYizLM5boYbHNujrMPMxMOmiIiSW+UrpEkqsfA60KIZc86R/TqcJWG0GzrBOdZ9LbpMFSgcmgNO/Uke0lix0/Qs1zRMeQBPvWje/ATHr4fKuJS47jzKJQp6mS6lGAuDUCZpnr1qDacDHr/kDz5ftHm8Wd3X+Ob+m6jGCttgi27oEIYh0ZT+codBP/b4cPkgVJkwCJkgmt+iGit4t7ZWnFKUUSmrboePDO5ABWh7FhKrdIXJTUQ+TSHyJOehqyKumgNOzqMwwr7eY7ITXtoXbNINmrCBhpaLY7ITUpWSQ+o6svChsC7WWCQLohRH/puOPU218/hKG7hKBDxJIE5itOcWkyE7ft/tkSUZzMADtB1bakfjj1QTBUXGfrrgtMcxNdbLp3LNkKXBDBLXHKv4I0ouKoVBDUWn+yqn2ezYHkkpChma4cDncJ2uuXK9yhciTblHHuVYpAtsyy1qU+OpfoIaFBJFFu/gOIHy/oP3l/fk+iYliqSQQ8g3e26kN+B1+hqTnfB4ecRzTw1rHPJgi3SEdmjJei02SAJi28qYccrVUFHWhYA62GvBF6oQqUqRhimnamFGTveVzKQChe1sS5zc5VEwpA/nBylcJsfJXjVUWP/oGttii1fzVwAo9QkQ4B//iX8cf/gv/mH8whe/ABMbfPp9n+LdZ+++dI7lJU1VX1t+jeShkfHOOtAY1Yi77A5FXODUnoQsEilqFr1uvDY1Da3XBijS1G77KUyYhGhdKybuIi4ktMOj/HxapmcV+9cs5fq/GirRnNcDzxzjGE72WD0yvEjzPL70F8RRjOf6GZuMSDxvKNs1O34vr+v0l4YZDZf+IpQlT2JIQwZBOecQRzTZ+WY4izKsM+IYfZhVZzoskyVsyLOnM5QwDIYpgut0jdNwgp600EY60yEOYkRRhDfxG3iOejM2PG+sES71fXmPfuoxyzi586Fh82QO1SvYnNPw2+KWwxyV4NAfxOB16k5sskFsot+qbvMt2on+Co+080miZVJiW24xuQnP9bP8GydMeOgehC7hcaiDGXAaGE8+y2YibXiqn4QisUgW1K9fNf1JlwiFqx5rSY1+MS9IIurNp2kCFLAtic/1cppVshKjXKLYTEyg5rsbOzQ9Q99swDPGWW4Oa8u7o0gKMaCGKvwSKWSyE5x2lHUYpvZWfYURbByqruIGTVF20E0dVumK6cTtiGyWoUxKFr7JEkmSMPLcmY/NPEBJiI7xofvABOjrn9/1HdKIzcJL/SLyLp+fcOqo8/epl61pBa14aBhyVUalpK6WUUn/UnrdwoepGGNP/Ql5nOO2vIU5GUE6V0MFBKScuImytneXd0wyvr4nAQJJZM7CjNheO2EYBxwtJVTN0BBnGNAHEmk2u+fhjNOO5/Clv0jzHineFYEKRO8c6UjMuqMdpZHyIXj35T1VCuBd+qH+QDnw9TnMVIZZTmmwczyfPUGoGzrUhptNBNxK1EPNzTOUYEx1QEmZgvpYvMPJGfVweRCFQDN8TDL1RukiLrDK6buY3IQyKnHoaOYeQ5KoGtNwMOoRjYYbEB1orNKVNDUqUIIijjQ3GwoKL+MLBsdm4q64w7bcMtn7OmCZugnLjMm0Pszp6fIEFxA1em7P33Vd/D0ryH2kbxZm7Gy6MwvdiNrHIi2QIxcTl7MOz80z4pCrWg2Ni7qgQ8fu9GqOTDRNGo/1I57cE/FH1zRArbVoljKdoR96VGGFRcTiS0NDRxpxGMuUY57M8X3r78M39t8gwu2qfUo1Awm8G3sYB6hIyQqziAsaRfoKeZzjLrvDriXVxCPpvDlkmAZoQ5lIW5NMkkc5NafZUkwh/iHaN3t2gZZSAl/ojnYUzbQF16t+HT3qUf5MX/wf+yNa02KTbcQVXQ0VD+iRNI9luqTz31pcOl66L80LyrTEm9kbWdfZgA/zoT2Q8qAirIs1yqgUHaMDSSVVzwjkfrwmkkY072ZxJp3yS/0iRltjDXbtTlinaUAJSDu0xLYlM8ABu3YHbTQPu6EjeSRMRAv3XD2zgLwmV3qpSpmWyCwn/b3tBalZjZwiNQMxRhF4oFV9hWN/FE17MzZw1nEbEhr0tsel/ahHT2M2Xx4tCZA3fB7Octjv2h03PQB5w9AYQa7prt/RnR5kCOMrljJkQRq4AL3t6SMwWljioSbGcxkvmfaIEEdzxMxSIuADVEIVIoszzNxMVsVvFm8QOKKxvOv9a4uvcUU/UtaQRuSS130tOMRPV5/iJrtBHuV4uDwAICbNT1q9yXSVrNBOLZqa2uBZPBMU5aW74IQT1/GBpoZ1GjAMXHe/WbwhVSQu6S2IiNOy1sqU0ViD2MbCuvamxkvPVN8iKhAFEQ79gXr5OJHnJNQhuoEyNwWF+0/vMSwH3OQ3mMUzfG31Ndz8326wO+xQliVWr1cM2opzzIKZHP51X/M74RSDcaaWnP4oFs5uMzSCRI11jCJkQFkQBFimXOmqiZ9THud4qp5kGqW0+tJn6I3o1lrsmp0kGAMM6woRCkLR69etozSmiKjVt47mYhUoBI5SGu8BuS9Ji/Eo1lN3EtO1D+WBY8F2GmkSbwYmkPrpfz/11MBjkvCjOIzRNi2iKGI6Z7dHGIQyKayGSigtx+HIwn3sUIQFHqtHQLFoUk5hmS/RjA36vse+ZtiX/z1nMQkPiWKhOdlJGsxmbCQt0oKSo8f6EVHK73scxPgvd/8lXjoWj7GKZWjz+fFzDljiVKb8WUjJmpe7ZFGGm+JGJCxeYuVlZ7OEYILe9IK79UMFWMoEffjZKl19yQwYgLSWpm9wP7tnkqQZ6cFyNHbGKpbPvEgK9LZH3THFddfucBgOGM2IMuPG7KF6wG1+KwOep+aJ71+2FNOeDx66dBcBFmyLrcg++5FkL/HkWHoGjDXQjpKT2nCzd+kvqCdKPI/dERu1QaQjvFQv9ENdkXawQDOx4X5pX5CNmSQ7LtMl7MLipX5BGZWY3ES5Y1igyAtEYOM0T5kLkYSUmnqt/k1+g1N3Em9DGfP38Oz4VKf4ZPmJ6M172+O+vOdn058xS2e4yW/kPruJbhAixPvqvfyeacDz+jye0YwsGtV09XRdC+bRUbZxGk7SRAdBIGFQLiBL23tTfNBSrnNM0YQsziSF1aMDi7hg2OJQ4ya7kSTUQFGTHkyBmGURQLaZEyZs0g1eLV4hDmIYGBjDAUllKhyPR8kI6Azx0OfuLHQUCyvmVEm+Ni1ixc2Gp015Oc7nx8/Jap+/IQLajHjpXhAGDE5aZSuRaRlrZCturcWuoypCa43Y0ovYTz22+ZYDpaviwuMtp2nC/ewey2yJQ31Aa1q8Ll/jHJ+htMJL80KZU7YQktJu3OHz8+f4ZP4JyS8qxDk84935HYwjmCNAgMb+9xB7uC22sJGlGcR0CIKAK9mIuqGX+gWrdIUwYsEwt3NB8e2aHZ6aJ+qfZm8ZlTuxePaT1UhHCFSAECHCmBfgvt3DwGBZLIUFHAcxZtkMx/YoTOBu7ETL57uy++Kejl+dyIeqtZYHr53IKPcEAtFBhQw+WcQLqAONNtppvLu8Y6JmWGCezTGP56hHxm6v0hWnNNe4XK+fDXWIQ3uQ92uTs5D2Jr3b4haLbCHrLo/zW2ZLlK6kccaQHx5q8oi9BrgdGW2bRzkiHeHUnrBrdhhno3Tao+Fk0RfBoQ6F+tD2HyOIfeqeLxx9I9ANDPrxMbX9xOLuJr/BptiI0SePcrrq2zMNme2OqZFhjjYiVstMhkbTwEla6CwlEWGwA3rbozVcCSaK/OFTf0I3ddikG1nfz2L+GgRcfS/SBXbtTjYCsY7hIidBHN60dmyPuM0+blj84ROmoWhnJ8MG4qa8wVP1BOMM5UwIeHBcNeOXltKaKOfhum/2spnYzDcI61AuzSIpsEyXuLQXOOWYzhZE5J7H1ID7ojzWNJROmIifMoMcTpFi4+s9C56xPBjiE2/LW7QjdZBv529prLIGH6oPqLuaF1kEHMwBZVzibnaHMAhRjRXmyRyv56/xXD/TL+Go541chFW+oqnomgYXqlCkQN3QIUkS2MliUhPxkD3Ni40hUm+aPjLwIx3Bahqz/FTIIz7roYYLHB3+Q4fWtIKP8xSmeUxpkL+Am7HBLJjx/bIOu26HMAjxavaK7zEc8ijHD/3gD+GpfiJtwinESYwyLlGPHzW8GhpKK4wYYQcWMIlOxAzo0YTN2CAPcynwLv2FgTrXiO5RM0reOBI//HfEOep3U50C4UcJSTVWOLUnnIcz1slaNjDWWinGdaCxzte4DBd0fSdTtAABsYmKU61wZJG/jJcIHDXUy3TJraSbhGtc9+QDv1m8wa7doa1amIkYsSTiBNFvGN8u3mJ0I6aIKL5u7GBgsE1ppLKwwoX2U/BE0Ry2Ttds0mExjIOgSu+KO9zN7wTTWo81rLKIQOQbAm4OTt0Jd8UdQ2yckkFDoogza3SDXOcShDJamrnakZz8CZNsozxe8tge8VA/wF7444t4Qd2zjiXoxj+rkY6wLbZYpAuGnfQMwPE6XWONBMe0I2WPjWlQGzbAacjtJhxE1jg6NsVP9ROykPen31BMboIF2dJFVGDQ9HZMEUPZHptHYfxnCX+tb4ojFVEz63h2383ukMc57tW9eD6O/RGLZCE5EZObpOnzU/444B16GigLNIbFlx9cJTqBi/nrvfF+MDQfnroTfQvBx82t33YFQYBDe6BnKimRx7lgRR0czeVDI2Z555wQUiwsFvECUcyG8m3+lluawGFX7yRkKggCvLu8Q4ECr9evEQckwx2aAyY3fZRxRLlMfLXScJbvvQpJMurHnghXzSY4DmIssmsIT/tCWku5lY2QC5xs28u4RKQjnLuzgA6MMeiHHlPAIK5EJwwuAs3+3h/lt5Hed9Kbnpkc6Qyppo/uXf0OX1l+RRJafSaMCxzui3uSjYYGF3cRDvo8niN2bPi05tDk3DMxNo1TnNszKluJ5trDD6qhEh+G90xUjqnLoxlF+jtM1LLnSY41KHnzqgMVKNn4G2OE4OU37WEQIs8Z6vXcPOOle5EcjCQk5UlgClpjV+1QjRVeL14Tn+0mBAXDpzxsIlQhsjBj8rQ1Ego4WhLDrLPIYvpBJkVj73f7+p4V5PNkDpUqvLu8o/wAIQ+fqMYyX8oa+jycJf5dUhonaiiDIICdrIDtlVYYx1Gi5CNF8scsZnJUqlM0UyNu2jxm4acDsnU9V3S01BGvs7WscG1g8dXlV8WccOkvwpKe3IRTSxPEuTtzKhoyGWueEUmnlcasmeHSX1BmJeIxRj/2iCL+3CItULc1ltmSsoIoF9a558+empMg8BbZQjr1aZzonr6mcylNXa2/tH2U+yYj4i8ASQz+z4iCCFnCmGxfbPqDFTWnBzM1w8vwwlCk6xcncAH6oUdn2cCMI1dRSZSIM/65fubEaGJ3PA0TPll+gnXGguDcnYVx+lhRsrQu1nStgxpSj0JycMJUDoOQh69loInXuXn9dDu2cK0Tk0ysaBruTS8XgteIz5IZXOBkPRqrGDa00vjMkzk2xQZVVwnnOAsz1KbGuSMOs4gLdBN/Pq50H6uu+nydIY9zmokDbgOKkFPJY38UuYqZSBPxxsYJE27SGzJo6wyX7iKGr2XBaeDr2Wsepg5i1q2GivH118N1ruY4dAdqnbuTmAT9hNWbajy9o+vJ0/d0G38J+mIT4ES4DEu0ipSaeTKX1ahsYaDwofoAZ2lGLBOGgIyG05JZPOP06dpYnboT1opFl8e6TeBU1k/CspCmLzhI41kPNRv6MGOa5JChsqQTxTpGF3QM3rgm46YRec9FVMia/6l6YqOQ8+/pnJMtQ+Roxh4dD2AAEnoVqACziHz795f3GPRAv0HI6apPr3RwnG51Z2mMdKBZUAeUG/li2V9WXubkebrt2CLWMW7yG2FPn4czp9VX7rgPbcnDXOgIWUh95GfHz1D3teADAwSYJg4A2pEDhVjH9AZM1IV75FcapTLtMmCx/Vw9U3pzvaizKMOr8pX4GHyz44M+2rHFLx1+SQyqPr24CAoEjmv7VbbiRsFQYqdBjnYeUoO+ztaYD3Mxw8FCZBPe7GetxVcWX+FUUqVY5ks5f7wWPAgCCXorYgYDTRMbAc+kbscWT/0TPU4JDbqzjO+BDjR13gGf7cB+jKsf7IDa1MjArdt+2NOMqDXymEx/pagDHiuyuWMdYzAD8pJ6ZJ946VMyPfFmmAZYw63hYAeYibrXCRN+6fhLWKUrYcmP04hqrOhbyDaSNG1G/tplsoQKOaEt0kJY+L6x3WQbPt8jSV6hCqGj6zncXXBf3NMUG/C/vRwnUAFW6UqGGipQ9GVMB0wBh0Se9NFPlIX6s+fQM+1XaUXtblrKoM0z1RFADJdfdF9QN63pKfGEFIDkstNwIhJ06vjMX4OSGtPgPDLP4q17iyzOkEc5ylUpOvRDc0AYhPja+muU0TlHyWVJyWURF7LBD0JKRn2AzaX7aFA1zmCu2RTsu70UpBMmufvCIOT55AbsKwb4vV68FmpLHhPX7M9vpxyHAddk4HqoOYy7Yiw9Lriz3FasshXKmNSieqjRBbyzl9lSQoFaw+388+VZEkFHS+9KHuc4NScp7I02QpzLwgwHe8ChI7BhmJg3kSoOOMMx/LiBtKGch163n4YpKsdtgBqVnIUACWx+C+eHph73GSsmsFtHOEeiEvSuR6YyITr1rkcYsLD290EapjIUOkwH1o7X7y7AJmKZLmVA5RUKkY5wU9xIerAPSfTYaWstoiDCKT5913Xx96wg700PN/KLbCaD80iNtU+v86xWD4GvUeO5ekYUUu96P7tnVPkV9r/IFljEC5jQyLQgTxhK4jVmkYoQ9zRU+Eu3HVtZrfp15Dgx1dKbLE79CRpMr7r05IsHAVdBWZSJbsmHNMwiTrjMxBVPkVO+EqhAPlCttKD6Yh1jmibMszk2+UaMelpp0QR7fbaaSHnxX8TJUvbz7SEECsTx+MLMo9JiHeNW3Qon3a8xu6lDYnnBt6ZFPdbk7aYrBu3YEZWhVn0wlAn4Ym7fkb3uneieFb9MlkBAt7PX0HlJkQqU4LSMM/j64eskyUQz3M3ucOkvDJEwTHwDQM7pZIR0c5PfUHPdHWnaSxhPPkyDmJ0CBPhQf8Btfiv6SwdO1JuxwSpe4X52jyRk8+ZNdr5w8zSTOORliQC4jBfcRpyMvz+/RzM2uHE3cKlDplik92OP1rZIVYpLd8FUcn2qA05N65HoTfl/I7XvUUk6gtfQKSiYgM/Q3eyOGtr+xGlCxIAqH31dRIXETpuGhfNtfgsbcDoZqhBFVDB1tL3gzeINiUHZjDHRjhHqx+EIgCZT/4x4GsChPUiE9U1BykpnOqEAeFqGv5g8F15H1whjN8i059AdsCk2yMOcmm1L1GmkIr6HV31+GjJIJZyu0exhhKVacn16RZwCkCCUaqA3YTADjtORCapXZ7530Wul+flaJ5HRxhpZqZ+7MxvDdA0TG7y/vEc/9Xzm4mvjPzGw6NJfJIXzfnaPrd0ywXJk0mQQBFjEC+Q6lxTYZqSeMY5jzIuPZukiKoQlrgIlgUxe+jY4Tjh9o9iZDsM40PAI5gNUfQWtNcaRWwDP8rXWfkzFvPKtd80Op+FEpF4Yf+n7lcScIC2iBWbZTEyj/uyu+xqngSx/Pxzx/PVYx7INqIYrttX0mMUziYyvxxqd5VBAB2y+zcQJqDeXN0ODJOKG0TcqkY7Qa2JHcSUEzSISok4NzWL35T3mKbMtYhWTxqUgWzgHh0WyQBEVOPfcwkGDRZ2d5HxFTub2xVxYLLbUFSulZBMDx/M2iiIJKBkM5VUODtZQmjlhwjiOgmK1lgSXdb6W74vSRIsus6VosceJ9ByvC/ckK1+UGGdkCjqYAe8q6pPLhJtaC3pFsjhDYClN+DB8wGhHYm+VRqquuNEwlYwGpVlE+9V+kRQia4w0kcA+Ifbcn5HFGZYpU6LzKEfoQpjISDbHLJ7hprzB3/zwN9FPTGC99Bfs270MtrTS2GTUea/TNQdiwJdAD3ayqCfyouuepBUfxFOPtXyXjTXUvDuHh/pBvntes5xG1H+PdsRT9YRFtsCny0+lGCynEmVEytkm33DAoJQY71WrcB7OIiWxAU2dgxnQ9I0YU1/qF6I3kyXqqaaUzVKe0pte7p19u4dpKHf6dPkpyrjETXZDc6MZ8GJeuIEOAmhokXmcuzM3IVf5mUeSdoaGxFk04/T2Olwp4xIFCpx6kuTW2RpVVzHNdqjlvbmb3aHq6VHz5v/WMjzROINjc0QRsYnzjXQ91ah61gmpTsWwGqoQmc5EOiNhXFcfjE97tmC+TIBAaEKwwLE/4sP5A7x53cEh0zQ4twP9XetsLaFRh+6ATLMoD0yA5/YZpSlRmxrLhBLgSEUyyPIkOy/jMaORwY8KFdIoRRmTn6+cErleNVYYp5FbomtQVxiG0hB+N6/vWUH+2Dyi6zox/cU6ZjxuOkdlKjRnHvSrbCXT1H7iStPTN6LuGoerFdemQYBhoCZpDEbR5I0dNXWNaZjyde2OPB+2jEqoiG/0N8/fhAa15qbn9PTTxadMrDQs3hFApu6eB7tMlyQKXFGIHiE2TIMgkGBBZ/eVo1kmJbbZlg5fx45wmSw5BYjwUf5yLc59lL2fEGRxhtnEy2iykxgiR4w4dSdJgnypX2Ty4xFfDk4MX33b03QKbgP29Z4//zr5HScaCo/NUUJkXtoXzOIZNuUGk5kkLdLHa0MR83WT3eDcnwWRFmsmwvnksHrklxgOKMIC9VDLhiJSlCTkYY5Up2hB7Z91JMskYYKvf/3r7MBvE7z56huc+zOn9yBhp0Qpz1wZlygDHi7DOIhJcp7MGVMdZ3i9eA1YoFIVFBQTvboaQ0gdoS8wiqRA1mf4cPnAAyFdI1ABTh3TV1/PXvNACbiqu4wXmYZOjoinQ3+Asgq9pbZWQZF5PLYoI6YYGssi5b68l2KiMh8RTXfFnXCQi5jvn3/uPI3HR5knZSLypkiTS/5cP7MgjEkcGu0opsBlvsS5OxMvBa7h7mf3gqiqx1qIJ1FA+oWPtPYSmEN74EWuQf+EodQBGniqn/jzr0VzGZVINSeywzhAZQrbckuD99BKSEYU8hID2HQhgEyEL8OFdB3H7cqpP+HSX7hOvE598zjHaEas87Wg2XyyaxiGqLoK7dQiS6hjv8lvcOqJCUvChCjAa+FyX94LkaGIC2oVk4wEn+shH6kIves5MXYMHPMTUP8eLtIF/95XmVkWZ0h0IuvZfbtHERcoUhZCp+6EXbtDqikJmyz1rqeeUoFvb0QuAyeVuc7xUD8gTEOJfT63DM7x4S1ZTL1z4AJ0U4d5OscsnuEy8D31wwr/eeU6F/Z34FgseJxcPdTCQ58w4bF5RB7nMvXbVTvMozkWxQKH9iC6Vb+9CQJKwXzmQTu0lDiEDmVU4sP4gebShKEznisc61jkWHmUY+Zm6KaO7H1Db8BkJylSsjCDhYUONHb1Dof2IJ6HPM5hAiMkBR961AyNBNR46Y4ONOkhV99MEiYIdABlFRNq40yKpclx85NoUnF8OInP17COATOJZjHqz8VIR2hMIxQLHx/ucZne6O3JTEVUQMXciCUqwSInXu/cnbEpNoI1/OL8BQ4Nt2hRSBlEa1qGWcGhG8hq1ppyweVsKSz8Mi4lBdm2Vgr3WMdYpSsch6Ow1Sc7yXlvJ4u2b/GN7htYpkvMoplgjLN5hmW2xLE/Ej4QtAIyGN0oPiVnHBrViGRmV+9kAr1MllBQ4iXKFIdzPkXbOINFvECFCqNh4bsttlIwVn0lUpphopTPa7S3+ZahT6b7qEW3HChexgs0OM32bPBTf8IiWWCRLTDaES8NcbCzhHdJFJDUlGluqkXfHQQSGPhQPaCIaBD/UH3Ac/0MFzgsoyW2sy36qce+ZbhSM7B+ert8i1CHeGmuclXLJsBTqcxkkEQJbvUt2oT67st4QW5zylCtw7cu3xKYhdIKs2gmfoEoiDAFDB/r2k7ON38GWMcsDa0/Sm+9rNJLVnrT49AdqDrQCVb5SlJH+6nH0+WJIX75BvVYs3mZWJv5Z601rWwDfeZBFmeYmgmZymQ4UKlKcisGQ1iBBwU4OCQqQYVKmp9uYlLxOHEomeucKaXXxN04jHHqT/SfXTMHPCHvu3l9zwryl+oFNiIT2muuyrTELJghDlg8ZyGDCUTMH3xkrmYhmeVJzKnouT/LGixQvLTPzRm1rVGGjJWexZSMeCJJGJJrHIbUyc1i6kcvHTWE/djj0l9wP7tHHuX4cPmAwQx4Xb6Wzq8daHK5LW8RaXZNalKyhvYBO/3UU7N41RulJqX27TrFb4aGOKzrKso7gb0bvjdk6iZhwrXRRPKBdZYJllEumqbc5kizVHSO7URmqXcr96aXwtYj13pLHNGu3pGScZUM9KaXC6dMSpJdTCVTLBtYJt+ZBIENEMURlilXxCag0/y5esau22EezjEEg5hGnOW02k+sDv2BuvaICCUdUFZgU76Hs3iGdblmkuPU491n7/DP/k//WXmm/sSf+xMYogE61fhVP/qroCct+r4sosarTEq8nb/Frt6hnmpY0AyoAoVFvMC5PX9JJ9aOLdnIIycQPtTn0B6IlIoLxj1PPbTl9NFvD7SiVjewAd5V74RF3I8kGZQRTSi2ZjHgE/iikOaeaZzw3D9jlawwWFJ3yrREYhKcWh7wZcKGozc9ju1RGOujGYmcdNyMzHOiIWfxDNOCkoJvHL6Btm/xdvkWafjRcd9P1F0ukyURftdG8NSdECESrGaAAGEUyrQ4CujbAFgoDxORjkEQIAoifGg/iM40D3LsRiaAZjoTzF5jGtQd16+bbMOGcSRF6K68E+PpLJkRPdY9S1hJrGLhSOtAo5mu3ynnkIQJVETjYTM2NLtdC50gCCQYxpu5HRyiKcJxJA1HaC/diQZnc0GucyYqIoAxBueJyCzP/fYUk27ks5vFGZqetAQ4oExpMPaIt3Ea8Wr+StKGW9Pi3J6p9R47KVK9Wasfe753V4a41/J605dSXP8e+gPpPBEvovN4xibdcAtQrokvvSbv+c2WUgqRiyRLIY+YZnkybATggNvoFuuSgTyLZPHxvAiUeA6e6iduJK90Bx98smt2RAReV8ppzFCcQ3NAG7UfE1mvk8lTy1W9365470ykIlRdhTAPJSyomzrc5AxmMs5gX+/xUr/gqX5i0NVQywBlkS1ks2hhscgYsT4Yyhedc0hdSi9SyEt7DdJhRjNKrHlvPnpWvNnbT99HcMCwa3aow49Jp5fuAqQQeeEm3zB47Ko5V1CSqTBLuaW49BfeKePH76pveoqQv49PVZ4ncwxmwLpY4664Q6DYMHmN6zANnKBGGbbFFu3A7ejFMKTutrzlz3XAY/WIb52/hVezV5jHc0o33ShStkQnQg7z94wvRj26DgFwO7tlwTuR9Twavj95TIBDZ69NYMK72E4Wz/WzYGargYOSVKdo0GBwA5qOCMY85DPajNyARipisN9Y49Se0EzEOtrJojKVbBI8geMyXIRo9lg9Mlb++p7WY83iNSSDPQoiSm2vuu6H6gEBAuRxjht3AzMZDI5nlZfdlFEpDVSueXcmmuF6cRzjRt+IpGnChC/OXzDZVikorSTIrjP0fm3yDfHRbhRfRzM0NCunM+HzD9MgkqVEJx+Jbu0BSrFZO/ZHwVhGNsJ5OCPUIeYZN01VR2lNFmXQmkOXfupRptyOKceNShFSuulN0mVcShCaHxb4LaGvcXyj76lF/sf7sUczUa761eVXMUtmeKqfsGtIOPKyVaWY2u6TiYuowCyd8SwZW2kWq77CMAxI85RStbDAq9krsuSv90QURpgnc8p9pk4SSlvTogxLpHGKVbZCqlO+l2GJb56/Sa18wiHLOl9/13Xx96wgbwydqIlOYBz1SMqRIKIDwumlcITFIl2gGYhnmiwNQYtkgU26YXLVdSKchZnoPqd4QhIkWMZL0SB7SkusYySKUgVvKJglM67cSq5Lc00kznP9DK00mrHBS0eUlJ+Mn7uzyE+6gQi6JEmEKOCnlQp8QAc7wA2OcoOrcavua07dk5lE3BZhIVHnl/6CZbLEuiCrunIV0iAVAoaPEa7HGotkwZTKiNNwr49KwkQIKl7b5g1CSisElvz1Aw4skNMFQh3yS5QUEtvrAzKyMJMpynnke7CZb2SCM04juqhD23M1tUgWDKKY+EV0zsEGVlbk3om+63coLfXH1llUXYXOUgO8KTa4KW6QhRk+fP4Bn/2tz770TP3Tv/mflv/9z/zv/hl84xe/gVk2w1/8v/9F9C27VqUV4jjGYrHAX/5P/7Lw5kXq4oCf+qGfkt/n577xc2KkAyidmTCh7mr88f/zH8f+YY9yW+Kf+hf+KVQDufQ+vneezpGpDI/9I7q+w7E54qV+4eelU2RJhqEb2ETFOWPKdYpx5PRcK80gnr7GsT2SHmBopEmTFI1pJMzh2B0pUdIp7GShI14wXqvb6Y4s9ujKkW4YNTzP5kTLWRZTRcTJti9uQsWU3KqraKKaGim6Yh3DOIPABCLhasdWiojJTuhdD+WoHx7NKD4NHwQ1TAMCHSBwAWbxjNuuoUYYhrLKjxTNoHEYi4zNx7/fl/cy4XhpXthojUT6RYqysZvihvg9sMlcRDzEfYz0bX6LdvoYpAOA26eYcqXP9p8xhW3+WuLP7/U9irSAMeTnB44pjotsIY2VhkYe5Hg4PyBWNHLZ2OLQHFD1FVbTism6jlNg/556/KnfCqZhKt+R3rCA9WFlg+V71E4sYo01Eq4Vh1fsWRATdzp91HZ3I4OzNtmGa/axQaFoYg4cEWOjG3kpnhqRvAx2QBRQUz9hwqE50DSelEzAnS40ZypSoBTY6Ppz3EeHj2aUCG5voFKKMoAvLl8gVjFeF69RZqWwymMdixG9c7ws1/ladLPVVDH58rq18ZziaqhEgvZm9ka0/EmYUPIUcjPYjA3eLt7S2H2divoi06NZ+5DUID91twOHGvVQk75ScAtWDzWavkGe5MjDHDalTMGnmmZRhiggaSfTGTen10AuX0RNjiZSFSjxaRybIx7rR5yHMzToLfIJmYfuQLpN18iwwHsNdu1OdLwARNs/1Hxf8ijHIlvguXpGEiX46vKr1POD782r+Su8tEzT9LSVDJkMteIwljCkznTCq7cTw2p8weipYef+DGeJDhzNiDzMRZ55P7tnKnVFspZzDs/VM5RSkgdxtmdssg22xRZ1T+lCb3le+bsjizLxsrRji6fLk6RFxzqGja0khMc6lkltN169Q/FcvBWd6ZAlGR6rR7w7vZMN8KvZK6Ii3UQJzJVwk0YkqtSKZtE4JDzCZ5RAQWoPFSg0A/NNFEg/801TZxiGpayS0DXrrMTLrzPWBB6dPAUM91sG9Bg9VA9II0qAc0W/B8Ch5uhGrKO10GS8j8ifHQ4Om2xDyEb0Iv4hLy8KHVO319kaTd9wkOh4n3uNv5eY+IJXKw6t/Dm3b/YIFE2t354s3A0dPtRk978qX2GWzhAGzJa4yW+EDlXEBWxvWVcYg0NzwNdWX0PVVzj1lJbMY6ou3izfMHU9LJAnuXjLPN1Kg5u+MimF1HVT3CAKIkFLez+gdTzLfAPgnMMyXyICNwbf7et7R1nJt4izWA5Nr7/xZhsAQArRNsY6RlZkDBLADhYWqUppqIqY3jeMA388TPGh/oAkSpDGKZRl5xUhwl15J2D+fuyhHd2783gurn7nqM07dSdoTUPBpqTeNVUpLuNFXPRmopb1iCP27Z6rOC+pURF/TURc3L7eIwojSKooaAjy5q11tpbi2q+70zDFbXErjGKvj+tMJxxnYw2qgVovP5n3xZjXXfn0tmZoJFgmQoTGNWIo9EliXp/uXfD92ON5ekaiE8wzhgH4yZXX+FpnZRV0HKk53lU7dLbDfXnPCYS5oFQlgiSQoAw/CfLr6FW8Epaxn+YPZsB9fg8NrpSrxwq/7Sd+23/j8/Wv/b5/7e/443ay6NoOXdvhV736VQB4wPz8Zz8Pay1+4gd/4ks//x/7vn8Mf/yv/3H8jn/kd5CZHwA/+ws/iz/6+/8ofuZP/oz8vMEM+P4f/36oTmG+muMHfuwHEIcxLpY6yUW2QDREUvi2poVVFvNojnZooZ0mncCeJEQDACkd1tIcdk2NLQPqG5uxwb7bU4fdkQHdWhIuKlNhshP2DZFvs2yG2+KW9KAgRu9ofEbAsBUfkuKNhs3YILYxg5YABJoFdxzGgAVOA9NhAeDt4q2seT1SbJNthK5T97VgvcKIvPrJEqnlp1ezdAYoiHbUp4s665CmKebpHGXMg7I+s4FdJSuhA/j39DgcMdkJN/kNJ1jXLVYcxTi3Z8wTJswlYYJIRzSuBQHaqhUqgdeZ+0sj0tHHlWiUQUcaYcj3qne9xLNnccYp9XWNq5XGoTmw4bMD//eVaOJX/5f+8qVkQj8h1YpSGT/tbg0nf/7ytI4GonZqpbhyjmEz7diiGiu80W8YkhSEJIdc9cdeEmEti5ZPFp/IuePpP97v0A0dzt0ZZ3MWZKlxhrpJMLTHTPSi+MFDkRQILElCSZjQIxDwv31QSDVVmPpJpv7G8fdYpAtkOoOZDHRIikmgAtykN+LDiFSEXccpfRRGWCQLnPuzmNe8nMP7g0YzCqvdT/iGiWx/j2ETVJvl8Ec2RtcGrbc9VuGKFJtrbPksnqENGWzj2fn++c/CjAl+HU1uCIhNjXREGs5VwufX+F5Lbjqu4hN91X9PozQOvhHGFTTgQ1oiFaEPuEEd7Ygi43fWGIN5QTOqxzACzGnQWmMyk/Dak5jFpFIKb4o3lLZcaWGTnXBT3GCVryi1gGLCqpuEXuFNeP5/+ymuN8/7JMxQhXg9fw190XhsHkUuF2qiO71EM1YxHi4PKJMSq4L0Cy8bK+JC5GELLJDHOfbNHuf2jFVOX5ACfUoAmIQZLbBTO+HEe8yqH7R4go2d2AA5RyBANVSUCqVEN1pr8dw+Y52u0QWU3FbDx2fiJrsR9rtH3p47Dj921U5kD2Vcoho4bJrFM6wzNpbt0OLQHlhspsw5+c9O/xm6ocNpYvL4YAfMI/qH7st7TG7CS/MC4wxWyUpkT5ObpAge7IChZTMyS0gLiQJ+HsqpL202wiCUDZa9/p8HAdSmhnLXEL6okD97GOkH82m0Xh7k5VSrbEXogopw7I+U/1yn7HDcEhlrEAa854xlbsws5b2ltcb783s8VU9Y5kv0Y4+HywP56BG/a/tmj3ZqxbzqZWaBCtA7JpDHYSwwkMY0iNJIvjehDpEpytxu8huRQ5rJQBstjPpvZ9grrXBX3AlPvrUt3h2/nFXxnby+p5SVPqCWebQjUpWi7hmJWpkKt/ktV3ZWiQ7WWMPVnVJY2iWavpFgHJ+e6cMgoiZCmqQydQ26AIEOcItbrNIVL9uY2lefhmmtRdMTi+RxV/NwTrexGRFFxFb5YjoMqEfbt3uuMO0ok2lrLZnqIxNFEQBpkiKwfOB1oBmw0NSceEYpnHOyugsVA12EnXnlV4cq/NIUxWjSYLKITuiXhuxWf/D4xM7e9mLa8g8fAIlwj3TEgJfuwol/EGHf7fmgWZJkvM4x1CGKkNO0Ii7QmhZP1ROeKybWHbsjkiBBZxn0MLpRivtqqtC0DSJEsAGL+FSnwlGfzIRlvuT6dKhlxRVGobijq0v19/VZdM7hH/3KP/pf+///O/7h3/FtPxn4qR/+KfzYT/zYl37Ou//3O/zVP/1X5b9/5x/8ndj8TzYSpeyxiZkmYWKcSBpxcEiSBElMzacKFMqwRJ7lxHRdN0nDOKBI+LkXISfR7dTi0lxwDI44tkd+PlEOpx0Sm7ApA3XUne1w7s/UnZd3TIG8dvdZRG4yLIRR670QAbi+78YOi2SB3pKqk+oUiCBSliIuMJqRKEZLmovXEddjjTiKJc55Fs7wUr8wzCcpECKU5Leb8oaFXt9y9efotJ8n849hKGMN1SghMSU64Zp64JQmCRPkEcOzetOjGitElgi8eTzHttgKm36Vrzh1VqEYiXyC3RQxfdJLqnrbAyO4CkYoq/jH+hEPlwcyovUVOXr1pngD50vzgibiarSICoQ2RJEWeG6ecZPd4Bgc0Y+UnQCQz8RvpTyZohs7NioTqS3twMl4YxrRuI+GfpVDc4DLnURor9IVtiVxr16bPlnGTt+UNxxGWCer7l27wxCQSjNP5yIXOA0nnJoTwpIUmvf1exz7I+Pj00KSTr0muRkbFgjmI2FjgQVGx/fPTAan5iRkmihhSu8smQlVQoPSO0+n2OZbkUV1YyfJlZucjWDXUxbj/TJFWHAyPpylyTwPZ06q1ZXlfH1mBjPIs+oLWR/73ZqWzV5/wak9YXRM6vWFc6hDObuUoiyg6iqSRPTECaJS5H4npZzvsY7ZwPcXCYD6dvNkqEIg5GRzns9x09Hw5wsEj+D1k90oiDDPiPUM41D4++eeFLDb4ha5ZlrjsTvSxxLm2OYMQUn+v9T9W6xt257Wh329tX7vo4/bvK619t7nUjeoVPwAlIRBwiUqLiJFSBFPxlFspMQWUGAjJFsCocQ8OGWr5AeEFZCwDfIDwlihIJRsJINURYicQEoRDgUFdWGfvddlXse133vrreXh6+0/9wYX8dlU1QlDOjp7r73WmnOO0Xtv/8v3/T6VwForCLrJ8hzbpkQ6+vvRB0B5U7XHAHamk8An/z4aZ2TYtEgWeG6fSXkJNTbJBkVUkLAVaDxVT5I3YK0VapQP/vGNq5c+eE/NMNHcelFcMJ9kThT2JuVqqHC1uIJzTp5RoQrl+VkmJSbDwtxTXXzR+nB+wHk4QweauSe1oXF9ls3ayaIJmaJqrEFta6HHOcv7WlsGHQq9a0YXe/TuZNl4bLINEp3gMNHQeOyP0KFGHDBVPAxCJODWOw6p1ffYSuus4GeLmMnVXs577s/YNTvKoyIlGzUf2JPqlAjWjpjJbuxw392jNz3OEZv6CBEN9UWBUpfCpQ8RIo7mIU7ALWwasWFrhgbbfMvthIrFxCz0mnkQ6ptP33z7gWfd1SKf9WZ8Yw3Dg1QotLzBDLgurtEaZhtEOsIiolwOjsnKh+4gngDP/8/CTOoZP4jx70se5Qh6ohDHaZQaapMzgwJz4radrGyAv+rrO1aQRzpCbWuc2tmEFwTIwdTF0IU4j2dcZpfUEHVaHNd+YtSPPaAgoUFQZFkOGITVnUWZFLDOOmQJ19CBDvDQUE9YpkyeeqxmWcrQSMS1TwTz66wECZMMZz1ZM1CakUapJC+u07Vwtru2w7bYwlhOwjbJhjKX2eToJ9ZXxZVoaz2n2xvx+qlHoViI+Qee13IBQFZksqreNewsvTv8i3/PfX0PYA6SaBgFHWoWIUnE4n0RLbBO1jiNND8VCXFkdV/LgXNT3KBIaCzppx6mM8IOtmAQxm1xi1CF+FDxQeK19Z4VGwURdMyVlwalQof2AGcdalvjEpeyZfA3SDM2xAnaCYvF4n/8ovo1fP3M3/iZL/37P/x//8Mv/fvumTSTPM3hjMNdcye4Nx0wgEpDfymCfhHykEpUgrTgg+yheUCiSQNIFKdPE2iqhAOeuidO2GcGaz3wEPS8c++UXyZLYa4PAw3N1r4wnz0twOs+u6nDjbqRqHVvepkcD+ZxokY9CAIcuoMQPFbRigdcd6DuHZzo+YfcMNJDMAVsAEpdYsCAMimxylZMsh07HNwB64gGZ1+kDHYgjktzKzOYAd3UYW/2NF2P3BZ5PJyPbvbYz8AFMo31eNNjd5Tp3iJdyJatMx127Y5SLRegSIhI9AfBviWezTmy9ytTIRxCXBVXyKMcj/UjHoYHKR588ZiGKeU7oN8jDsn8dc5hCiYJOErDVLSh7dgKTabuSfHxW5Ai5GTJr76dcwijEOt8LahAZ4n0TOMUytFEnIUZjWMzuqvqK5z7M1bZCptog1PP8BIzvaTaeYmSgkIHYuS24ZYhVzNh4vuuv08mzOfuzHCTMMP743tsi62wm1vXIlOZ6J+TKMEqWTE/YpbceF5/4DipynQmWRReetWNHRYJEWcnfRKZUhRTVhOCoWmR5oZQaw1wUExNvD4KHtIbswAgt7kUwj7O3QdRpWGKTbpBndd4qjkA2fd7ft0gki2omQyO9girLDW6cUlPCSh1VFC4LC6lQMiiTKSZXl6ilZZnij/LAgRYFSscmgMeqgehbfhUwjxmmmtueR0WYYG0SEV+UeYlCkUzaxqlYoJdp6QXtUMrZrljx5CuRtHrAwdBTHpcsIucnEEe4eqbYs9bP0VEDPamx3k4ox2YiqkSJVIy49gU+c3FMPH+7ltu867Laxa7jt9ja1uRR1ow3bXqK0xuopRUa2ZQDLyOv778OqqxYmhWwKaoTGeUpzVY67Vce8YayhkSvt/NSEyitcS69q6XpviT6BOUaYmu7/BYP8p1ZCaGxHUDPQBf23yNGv/uJCZtrVig39f38vmVaUncZb3jszcMsQ7WABjak6oU5+EsWRrbfIs0TjkEG5mEu0gWWKdrSfUep5HSYKXl8zl1JzzVT7KNto5GV9+MGWNwHI9CYwsQcHgUEceZ6pTo2mmgeTotKamZB5peY+43M6EK5XzxlCgdaNkofHHTl4SUMu/aHY4DI+4tuBU8dAckYYJtsUUckJTiw8essyiSAjflzZf8LC5w2Ld7bpMnysY2KWViH+oPmOyE6/waH68/JoMegWx9/f+PdhTDsM/xiEPeOyFCjBhR6hJh+dXL6u9YQd6ZDnma46K4wLk7f0n7Bw25GfwKfXKTvDn1UIu5xUs5PC0iVXzAXBfXOA9nHNoDXcQlg0601gycsS+x4ct4iV/a/xKO4xFLveRDwRE31QwNgiQQtJDX4Xqz1TpfS2BOERbCSa/GCkVUIA9zCVK4yC4wYRJW62Jc4KAP4sztpg62ZRpXZzrR2N0uaSr1nbfXc/tJuVYageHkyceBZ1EmHNtmbCQ+2ZsVe9uLcanQnIyrVGGVrsiKtozx9ZuBN8UbfLz6mIVjvMBVfsXVkiEpxb8Htwt+r0rRoNcaJn4qpTD2I1mv8YJFGSasohUGEIcXIMDYj3hsHnk4JdSxD9MANznECZuRb37PN/Hf/T//O9R1jb/6E38V//mf/M+/U5fxL/tKFynu6jtkQ0ZDmCI73Ye7uMCxsAxDFLqAgZGpyTpbi9E2VjHqsWaE8DxdlANr1mV2tsNlcilr8HqsZVqySBa8FpOC6LJpwqE/sHi3tej1PLkkDmM8t2S71oYFx+fHz1kEZCuipHyMccRDvR5q0ZF2U4embWRq0k4tJkzABCn88iTnut1Rq606TlfW6ZrJjYbypd700mBMbsJo+EBsx1YmyYMZZIq6SUkwOnQHfLr/FEor8TrUHVnPHgN3aA8ykWzGBtM0MXEvKUWf2Q5kMucJtZdKKeQqFz5tHMZ4rvhe3Ra3OPUnPNaPKBMa5U79ieQFN8hE3jcOsY6FnTuM1GX7mO6H6kGKcM/A9ZNaj17TSqMMqXF/rp+hoBjbPRly7mez6L7do7eMgzeTQTM1Umh7ZFk91lLUnLoTJssmyOt2vTF4ctycmImSFQv7QkexE1rbip65iAt8vP4Yv7T/JVjDtfe5P0shF6pQ5H0WTAEOVSix5kKOmWO6PYvZB6T5ELJQk2s8BeRTnzqa0RZ6QUmJbtG2LNy8J8BMhmhNS82wCvjeBUEgeNzOdELOMdZI8+WnwlrNhvPcSvLtOI1QoeL2z1ri1+ah0KHnFNqb0xFwmORpLD40xf/9PpIbgPysWs3yynSJj/ARk2y7ipICxWYssDQe+8FOHMbobIen6knkSH7TIUFuUYx2aAUOUA0VwinEvtnDOIOvrb8mCZw+wddvXv0Gz+uyfRHuv1//asZGQl0mO6FMSzjrcB6ZQWIUjfrP9bNwr18VrxBGfG72E6VhUcit82PzyGFTotFa+lMQQNC3nekQuxjQnPSu0hVeLV6hn3p8dvgMT/WTTMQznUlzrAKegaee6NNwoO/r0B1gJpq9oYBc5TDK4DxwWFCmJZKIEp+H+oEkjjhFjhyd7qAjLQ3QaEfY2gqRKwlYfHqDeREWaAYSk0bLpkEH5NF77PFzR9nuImZYmm/4jTMwMBKW46UmAF4Sxk2D96f34imb7CTDsiRM0KETmdVlfiln86Hne1ANlQT4nIczfVPzljGImHFinSWcwI4oUMjm0D/TO0MPSxqmmAy3iX5w6essLxFtxgapTeV6em5J0rkurmnEdwydC3WIy5ybPr8NrvqKJD84mjp96FCcY3ADunaGXdgAd9Wd5Nd8scF8rp8l+M9v+1RA1Ol5mEMp06WQkcZm/Mp1w3esIG/HFpt8w4sNjJu1jqv9bbbF1eJKVkaeK9waGq8CR563f4AJKWReT18vyNoepgF34x3SOJXp8r7dY7DEXV1kNISGoIYPFaBCmqcA6iV7S9RipLlG9QzLJKb+9rrg19INtY3+748D/jz1WEuIhcePKaVEJz+5uRCISxblc4hJFEbS9ftkviIu5IHnu3h/uBpnYCaDTbqhTnPGfjUj/3w3cOJfoqQUyCnsuz21zYo6Ko8C8mY3OOoNF1gIwzsNU3QT5QuX+SXent7COAMX8HOLFSd+PuSkGRtx9ntuaahDVC3xgdtii0N/gI0s0iLFZmCseqxjkSoAhPU75URHf/nxJTZ2g+//Td//pevqX/qN/xL+h5/5H35Nr+X/sdd/9u//Z/LP/8Xf/i/wX/6f/kvs7ne4enWF3/DDvwGH/QFXF1f44R/5YWxTvgebbEOZyhypnmiuwLuuw1Iv5Rr2xp7B8TrbpmSwejOlL2basYWFFTJCZzos8gWO7RF5mIv2zjoLNZIM1JqWDvIwwTJZSnF27I94qp/I5o8z5JoPZJkIzgFZoxk59Z+JQJObUPfcBDVjgzRJWQCl1zSbdc8sUIcY+2YvOQSrdIVDe5Dvpx3mFNx5m7NvyJrNwgxFWcg12000qp2HM4MiTI9x5BbLT20em0dUYyVx8H775H+GZcSf+2iPgkSsRkZRRwEPmTiM8XR+wkPzgGVKgk0QcJJ7Gk7ARCnU56fPRT/pY6I9hSVWMXbdDo1pcLu8hQso69pkG2kYfDS1l+o8Npx4XhaXfI4MLT5UH9Bbru9vi1tAQaQMZVSi7snzT5IEsY2xyTZ4qp/w2Dwypj7ORI62q3d4aB4AC8Ho+QHIuSNScpMzE8Bv9C4zxsJD0cx4aA9YZ2tSfqaJso58g1zlCDQ9QklIfKp1lCN0rpP0xclNlBclS2Q2k6nnNE3oA2Lb+omTbIlAH4ncrCf6ANKYFKvT+SQ6cB/+4Z/hRVoIjSaJEtFza6URgpJB05GiEqoQY8Ahjt90+M3SsT9SPtYxtCwO6I16bp+xSTcSlhUFPB88X78e6hcaysQtUaQiweR5Y6IOtDQLfmqfxzkn/Rr4RkkT23PzTO1tlMoWrYxKHM0RBgbaauQhg2EOHb0WaZSiHyiVqnoWaEopOasGM+C5eQbAgi4KI5nyWtiXQDBYkUz5ya9/+Qb33J/x4fRB+M9+cqqUEtPisTvK0CuNUjQDJaStmdHBjlzqc3/GTXkjZ41SCoUukGWZSDMui0tY0KCehwzBmzDJ/RgoZgRorRF1lDRUfYXL4hKFKyQG3puwwyBEGZd4HB95Xmtei2HIQdmxOWKZcKBXxkz6TCJi/JqBJC4EvA6X2RKbdMN7XiVw2omsBRY0dNteMjL8RPppeOKZPBewxhhAQ4LMQkdJj2fMjxNlTXmUC0b1uXmGVpoT9CjHYAZKf11Pj1K4wDbffskz4BwHSI1tJKV3chMa0zChM0wFh6ugYBSL2W7o0IUdxnHEc/Ms0tXRjuh7TrCDKRCjt3MOaZzioXqQZOBdsyNZbg7iilSEhV4INtbXBBf5BS7zS7LpOxLjQk2paxAEGCPKTdqh5X0FzZpC8X7txg5///Hv47F5xCpdoYgLppLOBlcvRe5BEldjyJd/sk/cxs5ejX27/8p1w3dUstKNdBAnYfKl1YqfVvyTBWg6cTJ9vbiWNWqAQBB8WmmhASjFiVlrGLE6qIEavMkIsF5Dw00ONqRTfgomSZlTSkE7yinKuOSKpz+RIhEoTNMkBWZvex4u1nJtr1Z05Nsej+dHsiyTEokiS/c00gwXBiHdyYHCBJojsohGhzIi1k0FCmEVMhjHGsFkec2e1yOPdsSu3WE5LYnuApP9jh0jiwNFNFFgA4zgZKYbOkmwvF4w7OahfqBLO12js52gx/ykyKdZ+abFPwhSTUxZM3GKEelI1qG96YVsU5sa4zhina1xkV8gDmNc62uEJQ/AWtdYYSVTqSzMZAVsQUxUY6gX3hZb/PZ/9bfjz/zFP4PT8wkXlxf4wd/2g/jN3/ubcT6ef9Wu3e8GUP4z/vsZwC984d+/qEH/BfwC/vuf/O/l37t/r8OP/M4fwf64R7Nq8OrjV9Axp2+JTtDFHaKOjdJlcQk3ORwMXfiZzhBGocg0Hk+PKKICdU/+swUnDZtsg1WywqE/QDmu8Dzmzkc11z31+hf5Bad4s/GnNS03Qv1JdLVXyRVax/vqrr8jQi9lcIdPe/ST4Grk5K8dGBjyavkKD9UD9dggfScPc5myeje7GQ1RnXOR7ENAbMPJvZ0YxPG6fC1s68f6kVOsefsw2QkwkANkmS5F1x6qEAiYuOhDWvzUthmZNQBLNFwcxrgpGJTh0zrjKeZ0xBqJpfdYsd70uGvvoCwDrBbJQuQ0iU5E4nAT3CBLuEEZRqaPdoZhM4eWmzNPxfCH6ypd0RA/r0r7gOt8T2fqpx7riJsG/wzwhJY8IuPe5zms4pVQk9KIBeKhP4jkL1GJTM2O/ZFT3IBTIKUVtNXYpBtcLi4BUE7oHKeekvo4b+089aYZG0peTIdpmmgIDrj19FStznRiQIVjc+GTLr2u3htI8ygXznxrWurtZ0mI3yjBQcLIyqCkJAMTiozykyxm+FIRFVgmyxcK1Cx98oFInenEgOvTR/1mwU/2HIh1NJivi5FbK/9en7oTzGRk+1HE3IRFLpLNp9+G+ATPLM5kne+n9tYyROUqu+LmN9CIwgibYEME3MQJvd+i+YHN5Cb5n3WWSYcBQ9kWCRF1/hoEaJp9ainL2eQbYh2VxlP7hIvsQjS1/nv3XqdVugIAmYomYYKL/ALvDu9w6k7cqkUpVgl/XzdSOtVPPS7sBYlSjjLI5+qZ579OEUURCVRz3kUZc9J+HI4ygQeYJhupiISvjJvWqqdB0xvZs4gT63M306hmHF81cLvdajLn351o0rsqriS0a7Q02y+TJZxyGAbmWnjDsL+erCVKs4iKFy65tTJljXWMOIolyOrQHVD1laBivaw0QEA0ortkRsKcMxAE5K1v4y3SJBVJ6yKe35t5CwJw0/LccADyqnwlstc4jOUe8LhGj+8cDWV9p+EkG4VEMYhxk27w1D2J6fM4HEkGm5tG3Wv691Qg5BVfHMc6lgZkci/P6SzO8Fw949S/1Hk60Kwb5mJ/mSxpxJxGMa5e5pfY5ltp7sqEGSuLmFkdAGRLfVZnkc1sEibKNkMjw4FDfRDfxzk6i/wqielVcobUHDtS2tmNHaqporRmHoZ91dd3riBXjMc1A9cUfiWuAgVjDMIwlJu/M50cYj5JMo/nxK25W9Qxb4QyJnWl6ipMikVznMaClTp2R7kZalPDKSfO+jIpiVMLWLimUSpfPw5jrJKVTJw32aw/qj4g1jEOLU1Zl4tLWEtObOCCl9S8eSpiDA0oHrUThAESMGyksx2qrkISEV0VKK79zgPZ6SushL7iCxg/iU50gkW0wFPLRK/b8hYA0J96IRv0psdT+8RmxGmGZZxOsAEnMUVc0HCqtMSwZzqT4BnP1/Yx2D6qOLYxurzD/ekeu3aH16vXvOBVQDOc5vegwDjk0dBUGgahuLJDFeIiuMC0mNCNHe6aO4wji5/UpUJXsIoPs/2wx1VwhW22xQ//8A8T0zbz2f+V3/Gv4Cf/4k/+qly33w3g5/8n/L7vwZeL8l/u9ad//E/jT//4n5Z//6//5n+N3/QDv0mmaoMZBG0FcHLi08F8AewPa29iDAJOAbf5Vg4e6zjt9Px3H0bitZJ+WtwMDUZHzvr783sWL7NczE+sPh8/R6AZu96NbAp9Gq6CYpLtLCfw2MIwZPSwbxZ0wBXuTXnDqU37jDiMhZ2MAJiCCVHAye3D+UEmKqtkhTiK8e74Dj///PMyJfWSgtvFLZqIBBozGVyX11ilK1zkF3Iom8ngqXpCMzY492cypq0DAuAmv0EU8jCPwxjrdI11ukYRFzg01AK3Y8sGPNCYAuJV45CHYT3WEscehRFeLV5h1+5w6k84tkcce+oy4yBG6UoGYk01opA0Fw2NRbaANRZ35zsMbuDWTJES5ZNGfXAGQOmOsQZ3pzsc+yO2+Zayklnm0k2Mnm7HFtVQ4aF6EI9IrGMcuyM585pyi2ZocLAHPNQP2GQbwdsd+yOqkRjCj9cfi7xjshOqrsKAAUEQ4OlM6sNFQd6550DDMRTu3J2RxjycL4oLuQ58vsKpOwnJIIkSNmkT/Sq+cPZM89GM8vdoaBgY0cYv4yWapEHbt2LQjRWRt3BAMzVIXUojpI6kARotcbQ2sDKlDIIAQzvI9+hX71FIWo/PKHCBQ4xYJDbjxCJQDI6YKCPKr18K14nbTq20SErW2Vo49r6o8QWuJ9woRYZ6Y/jehipENVbYnXcMxNkkyEPKgJ6HZ5oXw0gmkgBD7jy7PI0po7OwNOGqABfJBYvX2f/gG9qTOolmPdUvZ+W+3Qt9xXP9fTLiOlsL3320TIlexkvcLm5x7jlEccHsVVFaqCebhNdgFmZYJktJRwxUIHpwL9fykonWtOIVWag5TXaoRfMcIMBj/UiS1zjg4A5siscOfcJ7Kw5jGbwtUxKx+oCT7iIuMLoRbddimS3xUU7aVDeySFOKBn2/sfYbpUAFiMFtfT3V+GjxES4LbplCUNZYxAXO7Rmn8YTa8HvOVIZVybyOU0tJxmV6iavlFXMVopc8Ax8+pwJFP81EL8pjQ2mvbzK/+Io15Vw+NyHUIdKIzO6NooExDPj9+1CcMqaMw+NLARb+HgW5SlYcOiqFV+UrITUVUYHL5aXovLXSmCaGdSk9Y5p7+s7yhB7D2tS4SJmauu/2grtNdILrxTWpYvVOJI5e221hpSkPwxBTP+E80KN46A+oO26qYhWj6elJ2C62JNN0AzcjaSmoaxUoFCG9BZ/uPsXnx8+xLbYoIwJHwvTXSEP+Yz/2Y/hLf+kv4ed+7ueQZRl+y2/5LfiP/+P/GN/3fd/3bX/hLMqgY059RsdVlEf07Lqd8Ep94ee1P1mYiWlCBQqd60ST6Cc9GuzSWtNK9LTXBHknfaIScZz7ZDKvDR3swJQnx5SneqyxdmukccoVuBulw1omSzHVaaVxd74T89ciYQFUxqWEx2RRhmW0RBIl1GLGK6ZjDWfsmz2n0oYRy7flLTWIQYi6r/n3DNTseWe7N5Sd+zONB9NIrZShae+ppVYucAEPIYCa03nD4A1hb49vkSc5oiDCVXaFXb8j6UYpOfQBEPGWruXPr9M1WckjV4ylLXGoDygzSnAiFQEhcFPc4Hp5jev8GkmU4O3xLXpDTJnXJQdBIGg7+2QxjiOUppveG0V85PGpP8kEK49yhJYHn4LCj//JH8f9u3v8nf/73/m2r8v/X69/1mT8q/y+f/JV2Bf8VKpTXBVXPNgmYp66sUMYhGinFk/Vk+gxfWHtQ28QQIzNwzQgilhQaKexzJcyict0hjxhrLtPo/WxzsZSCoUAKJJCeOzt1GIZkYiySlc49ke8P73HMqW86NyfBd2XhznSlJOb00gTkZdJ+QmND3gJVYi76o7yJDiiQPMtMX8BN1/X+TVlPKaDChUSlTBRNVpgcDSU+Wnb6OZtG4i082xaZx3iKJZpWDVUWAY065yHs/hKjCXGS4H3QKgZYNOPPQ7jQZqkQz1LNOZplg5oJqtNjTIoxaDXjzzg4ynGMliKL2C0I5xxCPMQbqI8L0IkhbRHln5WfYZmbFggq1C2VH6tnyiazn3R5CkZCCgRvD/fyz1z7Lk5i0ImtiZxwvfdcNKZxzluk1u8P78nCaa4RBInuA6v0ZgGl8Ulk4ntgLfHt8JWvkqukOgEb5u3iHSEW0VPST3W2J13skb28p+7+g6DGfDrb389i7zjCfuBJt0yKXG7uMU22wqpwcLisrhEGpKgde7OlAjOXguvH/Uo2FCFuF5c46APSKYEy3CJLJ6LFnB9HyOWAcZoRzFseYTuFyUjF/kFjt1RdOOrlM9vk3J7uKt3uKvugJj38mgZehPpCJjo3emmDkVYYJEsRKKRR6R1nbsz4oipo71h8qIP9AlUIDSIwAU4tAeEUSha7rvTHU2wNuCgxyXohx5plqJICtSmZtJlx/uid72YY304kSfWaKXhQodNuhGJjs/pqIeaWMtAv2zZHFnmWUjvhJfOeY3yrtlh3+1hQJnFMqbMS0/8O7wRfbITlmbJKTECGnEDzZ8LgQxwetvjuX1m+MtsAFWBgh25wfHUNYAgAxVwexXpSJ5pHpWZRmTNn7oTHuoHZDYT6c0qXknTuU7XUIXCY/WIwTIJ2UvLrjNS4QIV0OuU8fst4gL1WDNpdRpJLWnuEYFMby/16EzHezh+wTKayVBKMjL12yjSdDwG11Np8ijHRX6BIioQaSZ+ehmHf//FL5cs0fZEqAIsnkczcqPjLLqe2x0AVCzMxlE/LPWGWV9HlTGvicY0HKaMNN7vuz3yKOdmQB1R9RW6sROSEgAxvnYTNzLtNH/+83TeWGr0+7GXLcyESehD4zTianEFpRSemifKqGZGe9VXlOiAg8gyKVHYArt6xwRhFUng24TZ9zdUEvSkoekJdBOavsFTzXTxy+JSDLLN0Ig8aBEvsEpXqIYKpjVf8fT/Ngvyn/7pn8aP/uiP4gd/8AdhjMEf/aN/FD/yIz+Cv//3/z6Kovi2vvAyWWJv9qiHGptsIxeshRUt8311/3Lxzagqv75LQgamjAHNZbWhsdDHk0dhJMWkHS2+tf8WrhZEZfWmx67Z0TVfzLi2GaWjtUauXhilzjlssg22BQ8FKXrm4BBjDe6mO0ZGK4V+6KnjShTxgHGBMRqBBoBi9+0fzolO6NYfarw/v4cGKS8ODptwg/en99jkG+iCxf6pI0bIO6n9qvTQHmRl7k1Xx+aIMislWtvD+Y01GOwgv+6Nq4/mEd2eBf5FesGCZWqwClcIpoAaONNDB1q0nx4TVA/UbSqtpPk4tSfUI/nTy3TJEBVr0NkOZqDOses77Dqy25M4EfPuZGkcDVNOXc/dmQ78Of3Pm+3SMBUqgnfvJ5rr9d/3f/h9+Du/41e+IP/Vfq2Xa/7DjKrSSksAlF9LO+vY2fe1TKbLpOQq/dghT3JJYfXbk3ZqGXSltXBYy6zEJt2IBMpZhzZuJZQkizIkUYLn+vnFlDjyQQdAGM5ZlAGOjV6koy9x9BfJAoELsGt3ZOCHNCI3U4Ou6qSxC4NQpl5e255FbIo9vcivsUMbkv6gM+GBG5As4JzDU/2EwdJF77GTTw11fnVX43Z1i8EOOLUnMQU+t88Six0GjHc2MNCTxqE/4HX8mkmTMf/+++peYtJTlfI962iuMs7g0BwABbQRtcX7fg8o4KK4QBRGKMICZVLS19LtaTRtDiSQzDQMf1i1jkOJ43DEsKdWMY1YkNZ9DaWZB+DpMElIWVfVsai9yC9waIhl9RIbv+0KdYjTeMJGbRBEgWgjvR5zmS7x/vAe1/k1dKgF5einbuM48tk3x4D7lLpbe8upMmjychMblTflG3S2w0P1gK5jkfPUPeEfP/9jfLRmKI8PdLle0LQ12hGR46akGioxtU6WRs48ykVGUA2VTOo80SHXNBA/nZ/QxR2KqWCOguPG7jSe8PPPP4+L4kL+nJcmeCkkAGnAlsmLnyOPcjGTxjrGzfIGxhncV/dEKroIyrGxSnQCZRVW0QpRRCmN10v7QJthHOTc2rc8H28Xt3Idn7oTC3FNolLf9eIr0VoLnjQNWCgfugPSmMEwZVzymuo6TortgGmYkKYpC8kwlp9bQYl/JNQ0VU7dJPLIylTIUiZpx4rFnx+Y+TRpn6w5mlGkO5tsg+f6Gft2L9sgf45VHc3np/aEznYinbxd3AqCzwU8+7fpFufujON4lOIyizOhDN0sbnBRXJDeBQbclClTh5+bZ24zQMNkEiaS8piFNERXY4U0TLHMlvju6Lvx2eEzAMA232KZLLFrdzQyguz0wQ683iaLm+IGm3zDbUGzx6E7oB1ahCEHCdZYHMwBH68/xs3iRU6RhqmgBwMV4L6+p0FfJwhcIKbXAAHW6RrfdfFdWGUrUopmOWFn+PlrpQVzHMWzYV/HyMYMz3jGrtnhrM802YJAijTi141cJBQv7zMYzYgojND0fIaPE1NWN9mGAIfZ6+afMbGOsYyXYt6Hg0A6Rjvi1FO2BFCO582U7dBijOjRccYxVMtZpCDRxcLiNLAh2KQbwTm3Az15sY5FguiRiw/1Az6cP9CE3u3Fk5JHuUicRztiHEc2sjNFJkCAcRoZ4DcNqPtaNlrN0ODYHbFMlzLs9QGWXdV95fP/2yrI/9pf+2tf+vc/9+f+HK6vr/EzP/Mz+G2/7bd9W1/Y2hmxEyWigTMBkVoAxGSiA41JT1wdgGsS4wwlIobUglWykmnI6+VrLGNi5J7bZxoAEh4iz/WzHFzrjHSUEKRNVC312p5z7s0xr5ev+eH7qZSz6GwnayyJBZ71n2EQoh5rZEnGD9sx3a5Mqb06guzaWMUSqvP29Ban/oRtsqWBI9SSWPX+8B73p3tcF4ypLsMSi3QhK9Rdy45vmTLla4omvN2/pZlv/Yq/5mg0CECDyoSZ0jAX494QeJGTeNOaFknCh4DXlfmi0K+gvWPc48J8lPehO6AaK2itUegCcRDjenFNhKPtJXzFTJQlnbsznHW41tfIUm4/jt1RpDpwkChpX6ScOkoifPrc/fkeSnFa5aPDN282+Is/9Rdx/+k9/pv/63+D//Yv/bff1vX5a/1SWuHV61f4vf+734s/+n/8o/ih3/5DcHCc4s4PkHW2ZozzUHO9HVGm0Yw0gfqo6DJmsIjnuadxSi0uAhJXwgIX6QWyOBOt6uT44NW9hpqUJER6A96hP+DYHtGO1IKfx7PgBFOd4iK/wOfHz3FX3+Hj5cd4nb5+0dnOEpFUpUjTVHSE1VDh/fE9VvkK39x+E1qzIfYM2G7sMPSMOg8Rit523+0FbxWqEN1EeRgwG8UCpugJHhLU1HpiiwSsKAZcDXbANE2ySh3CAc4yHKy2NW6TW4YHTa3o66+X13ATJzZBEKAfevTo0Y8MKPKoQaUoazvUByzyBS6yC8SKmvRVvsK54zahH0kpaNWMmZypFXCzjn2WFVUDMZZnc4YZOTFbh2tkCckUkoxnA1Jh4hznluFUSURNeBhzMl+NpA7EAQNqBBkYcHrndejLfAkdarwuX0MFCl/ffh1VV+GxfkRnKed7Vb6iFG5G4V0UZPCf+hOqjlsIf5h1LT+vq/yKRaIzuK/vMWHC19dfZ/pfvhUDb2962bgs4oU07T6J2GtkQ0U2/L7Z09A6x6B7+kSkqYfe5BtJDNRKI3c53p3foQxLpIsUg6UpzGMHvUzEI/0AiFxP6CazTMwzkR/qB+y6HVbR6sVEGnEqvk25WfAFqp8mO+cwKm6Mn+ontGOLq+LqhWs8exp+9v5nEWpSiaq+wqFjI7dIFkijFE8N9d15wvvz4fzASSwm2WJ6bf5kJ5oCLc/bwAVYRNxYNkMDFzlmcagUrWVCbj/18jN5eaOXMQK89zwn3DcxPoTKI0bfn9+j6inNKXumML4uXzOh15AR7dOCvcHU4wBHOyIMGUnvJRl5SLSd9y+FOpS6AuAWzkfbd6bDc/ssZtCqr3DqT8R+zmY+72Pw0pvb8hYP5wc5v8IgRIcOWmvcLG6EA/5UP4mMJg9zPE6POLZHKQ69wXyVryiJmAZkYSaa8CzKWGRPDDdbRkuhGXnspC9gl+lSJt+96V8avHlrEWqmLAcBdeu+rjHOoJ1ayj7mOmRndpjaCZt0g6+tvyaADJ/WeupOwmCPQ0pF2okaezHxzjIeZ8n7H9wAO5Aal0b8nkzwgsZ0IHJ5V+9QpqXgn33+iM+CSTTzMIqkEB+N32CcuhMOHTMQhmmQjUDpSlRjhepQwRj+vGVYYpksBfH67vwO2hE7GQYhzu6MQheSKO09a5GOaOaf2EgUUSEqikW0QBu0lIfNKgu/dfoqr38uDfnxSI3fdrv9ZX9P3/fo+xfJw+lEQ6OPZY6DGGnGldVz/cwpUs4453PPC0BNSlbcnkHqC7PRjphiYnOUVl+a4i1jas1SzQLgqSZ+r4jZqd1Vdzh0B0lku15co0xKnMczurHDZXYpU2Q/ZfZueY8g9O7p0RGlpsHQgMAGiCKux5qxwWV6iXyV4/Xy9YsGfv6ZrbO4zq/lwxzdKA3LiFFu3DAIAQUxl6UhNb2bjHxzAOiHHstsiaf6CV3fUQ/oLGIVS2xzZzqsspVceKt0xfSwhAmQXu9orUWmMhQ5L1K/KvIBRipg8+QnVqt09WJA0bGwf4dxgAsoQWjGRiZ8RVKg6iss0yX6icX8JtuIOdc70r27edeQ7R2GIS6yC9R9jefqGWdzRhmV8vvrocY22yL/7hxf/+bX8S//L/5l/NYf+a34Y7/3j/3zXO6/qi87Wbz7/B3eff4O/9r/+l/Dn/g//wl8///8+5EVGZ7qJ/zcP/g5Thi/+Qbl6xK5zhEndIc3PbcqiUrwZvlGptnrZP1y/QY0MW7MBhM4/fY6wmqohDBRRNQ+3zV3fMDrBDVqhqyMPbcdusAm3UhCWRRSE77O1pxe5UzbrIcaj9UjxmnEzeIGEyZM5oX+EupQJqypTkUbe+pOQlvxISvn/sxiIi55ryeMEw9UgHPHAKVhHMSQhQDox14kG73jejUK+WD9cP7AUCvVYpomWU1eF9fYppQLPLfPDGxSL1HP1lrYiFs8FziENsTZnJFECRZ6gSme8P70nv6VhC79KIs4DXJEsN0UN4ijmNdv+0zt61xQez58Er2EG+27PZI8wTomFeHUnQBF2sQqoYG8iFns+VRPL3vxJnRvrg4VySfWUeISBIFo0T1OsEypH2365kUCMa/9vc7fy0g+O32GEvOkv9mTmDMj17xh9jjynNATg3WqvsKr8hWSKJEI6iigTMQXl77YBlhonwcGG/ntizer+ULYY/b8QZ9FpNNYx8M2Dfm8iaNY7pUojBjoNo24yW+YujrruFfJipNq0wtVIdZsUL6If2zGBot4IZHxPpwnj3Nspy022Ub8M8t0likhYJESciI52UmKHessYIHPz5/ja+uvScDbZEnj+nT/KZqxQRFQ2jbaEU/NE+CAZbbEMloKmm5wgzC4d81OqEkIIAVEHMWMDJ9lmKOjHr8ZG5QJC5hAUY7UtES+eXlQP/UcuuhY5GxZlBFxOwcpZWGG9+f3mCyhBceORJpFRCTdOl/j2B3p08jXSMMU747vMJgBgQowmhH353u8Xr5mNLmKBK25TJYiKwDwpc+nNrUUrt3EtNlu7KQwXiUrPI6POLQHaa4us0uUacmJ6SxL8E3WRXYhwTOn/oTHiuninqM/gV6ZbbGV2sRai+NwZBOWbxEhwllxi5vFpAeduhN0pmUrbGFxak9MGXXAOucQxm9jIs17+jQwHGiyzC7wjOwiLmQI4o25X2wm/SDTGGIW05zFo5fretZ9FmXyzPL44bZvuUWc66nKVDLt9kMDFSr06GVDggAEYCQFhz9zavNoRqYnVyfxGvSGz2gAUpMlYQJnyXtvxubFvDk3fJGOhBrljfOhCrEttniun/HZ8TM2KTqVz+imZJZKZzrAAmE4I0JVjKqvUKalEJG8p64ZGw5i4wLXi2skhkb1UIfS9BcRVQC7afeV64CvXJBba/GH/tAfwm/9rb8VP/ADP/DL/r4f+7Efwx//43/8n/r1Y3vE3uwF69WYhvxpTV2pl61cFpfScQRBIKEYnhSQx9QpZXGGZmiwCBd86E5OjCieDe6nwN5N+/X11/Hh/AFlVNJBP2sRb7IbVGElDl5/cXmdmr/g/apDjJ9fiLa/a+6wTJeyWlGhwn19j9eL19JZ+Zv51J9IE9FzF9adxNCnHWO6/WpEBXyw353v5GuwcXYvMc+mh9aMJi7jUhocrTQ2OdF6Xne4Slaw1iKIAjH7eAOn78qvFlfyGZz7M5mwI5O3esNC2icIVkMFKE4kPIu6MjSqVqZiRLsOsY0YFe2ntMt4SaLHkAqqaRExeRWAsNprU2MTbeQz2PU7JDqRNEkfxOINdoeB0oc33/Xmq17q35HXv/v7/91f9r/9xP/tJ4hza0fY2GL1mi7+2/JWArQeapJMVMBgmKf+SSbPXtO5TJayVdi1Oyxjast9hHBlKoSOBVwYhFhkC0RhJH9uES1wHs4MAwpDlI5EIuusUFZO/ctB6Pn408gHYxaTMOLgsG/2UFpxXT1x0/RYPyKKItwUN8ijnIZl62hCnuk7w8RE0ThkkRAYFugIgGW6JA+8O+EyIZ1gdNS7+sCZ83DGqSM9KVAkGwgjP1lhmS6l2FABaSX353uZsicqQRRE3P6MNLtFUYTb/JaYOk3z4DJdkm0cxCizEvtmj12zk3TV3vbU97oReZIjDOmTaUxDCo0Zhbhx7qmr9CiuIqIEozc9rLVi8vWmUwDS1AYqYNjKNJsKkxXent7i0B0YehMxDbebSLg5dkesszX9JYrUIziItwcOuKvuYE6UlC3iBVKdwik2Vp3pGNE+NJjA6dc232KdrwUz57ca3my/SlYSwe61oz4VWSsNZ18KcF8IpyHX6j4/wdOqooBSj3RKEY1c3VtncR7PwMjJXxImWEc07RYJ2fqd6cRjEOlIgkcAGjA9wcLrf/2z+7l5Rjd12KZsWKZpwibf0ONgB2reJxab3dhJ2mYRz3QkFWEIBsmNmNwEN9G8+tw8y0TVwcGAydVXiytJbDWO8eORinCVX6GNWilWivjFB+KxeCpQHDLpSMJkQk2jXJFykzbZiQXJ1GGhmYYZBDR1+8/HOHqR+pGFVaQiCZyZHM3f1VgRoBCv8GS4qVjEDLHzU2kvDxrdiOv0Gomm5GDf7QURaRyDavIwR5KQO95PPW4WN2KibQwbq7qvmdDanSSMLI3oCyiSgo1wSIOn/zORjhhrP3ayfQEgG+FDd+B7k12wUOyJdPVT6UVMVOhoRyzjpZg/Jzex+Z7TWZfpEvtmjzIpsU7XsM5KGJk3JCulZIChFFPL0yhFPdZAQEPuF2WevhZJdCK5Bx4P7c9Pj1/1/hulFDbxhpK/2Zfhz1cHEkWMNZiiSWoh/z1iAvb9XnxL1los0gUn3DO22b83fpNZjzWRqo4DwChk2M/b01tss614X2Idc1AzI10jFUmD6uVoKlASTtTbXmTCPvQuVrEELk2GjdsqXdFjp0jA6U2Ph+4Bp+FET0gY4zyesa+YUbDNt8Lbf26f+X7llEP6WiXW9AF638dXfX3lgvxHf/RH8ff+3t/D3/pbf+uf+fv+yB/5I/jDf/gPy7+fTid8/PHHGN0I5SjGn+yEbupEGpJGKb61/xbSKGU86fw692e+0bMIf52uRdM12QnVUOE0nnAZ8vANdSihF8P0Mj1Lo1SiU72TWCkF09FEEDhOt5MokTc3izLRxzVj86X0Qq9pb8YGu2aHru9k0ldEBdbZWg6e98f3uC1voWIG5xzbo6DVEs2HyyJZSFy2BYuPPMkJ/FekPjSGwQGNITYxVDRKNVMjxWwzNMgWGYS9G3JS1wyNxMt6Z/pkJxwbRgm70MFOFtPEJCqttKzLABbHh/aAp4ZGhzRM+UAbSIZp+gajYgExTAMPSbDRGqdRpijDMMh6E5gxkKbhGn/qRVaTKK4Cm7FBEXEl5g2seZjL5xK4ANfZNbW2sw762B+xb/fYvtniT/zVP4Gf/wc/j//03/9Pv+pl//8Xr5/9f/ws/ti/9zLt/7Gf+DFsv3eeGsybBmMMbGiFP/756XNMdsI226LQBaZgomGvfsTN4oYTSkyiNfx49TGemic2vqnFr8t+HXF8w4FOc7wEpDRTg6Zu4BTxUz6cI1Qh3tq3eGgfoBstXO04JIEi0Qka23A1ajcMzEpZJD/WjwyX0BHiOEY4UWM+2AHplGIKySxWilisUIcoUKDqiAxrTIPM0hB9ubhEHMa4O97h3J/xyfoTjHYUFrP3p6yztdwLmc6QF7y2ooFyKessg1icFfOksQZlxoS6h/qB2Lb8AreLW9nWhIoFkp8sjeMoK1hjDO6be4yG90UcxeRCp06MmQozHaDj/egT8pbpEofmgPN4RjEU0KHGsaXcqxorScX0zWk/9WKcHszAhiNf4tLwM7MBNZB+WxIgIA88XUoBah01nD7afpNtZJJUxiXyhJs/vw2Y7ITr5TXqtsa70ztuz1QsUzulFKyxKDQLnCwm7ck4I94A/4z1JJkvJlh63exD9YDRjWi6RsydWZwJzjFEiLqj5yLUIQtkMzBcp68oEYpiMeQnIVMPz/0ZV8WVTN79dZ2EiejwPRe9M/z9QRCQKjRHvXsG/aE/oOs7JHGCc39GFLCh9CbnTbZhI2F6PDQP6MeeBtJpYm6FhXx/PjnRQwImOwkXep2sySK3E7SmzMeb1mIdIwoZaFIkBSIXSV6El97oQFMe4jSO/VFSb42l/CWLMkwBvycVKORJjrGn1MZrnnWgcegOQrco0xJP3RM9FtYg1zkmPYnXRCuNp+oJVVTh0B9QhIVsPLx/5rl9Rjd2MtU3ziAwwcuWx/QIE9KcTG8ohwwcN2ozknScRm7irJMEY3+Oa2gZavktej3WNLz3laBFrbMo41Km6T61OwgDOOewN3uMjo2hCxwGO0hB6uv70XAjEYcvYUrNwCC965yhhh504JHQVV9hk29kA+0lWn4DPrkJ3dAJRrprOtngNGPDAc1sgHeW/PaLgtQSv3natTt82n0qZB7Plv9QfeDQYjaqejNka4hVjXSEQAXYNTtM3SSgDQUlW3nrLBZ6IbKzNEwRR/w5yqiUTYrH3LrAYZNskMUZrvIroQ7VQ80aYq4blGKmwzANgtH00pxFyq1hrGMcG2YDhEOI5/pZGiiPVH2dv0YYsSQ+NSfWqFA4j5QylXGJLM7w1DxhtFRUdKaTaX/VVrhr7iQV/au8vlJB/gf+wB/AT/7kT+Jv/s2/iY8++uif+XuTJEGSJP/UrzvrsEyX2PU7pttFJXSoRdO1SBjGMExkYp77s3Tknu/qV5h+qreMabbo4k70RL578dHEgx3gRrKzvxh9rZQSg5enIkQqwmPzCAsrh5FfS577M/bDXigoPmLbTxq8bss4g1N7glNOwnaCgOEYnemwzJYokkJMbK1h2p2z/B5705NCggCLcMELLEywilc4pkfqP92IJKCj2PO+PZdXQyNPcjk4fCiQL7J9cl49UEajFBnrtam5tagfJVgA4FrQd/PH5og6qFGmJV3N8/s2mEEOqfNwpll1TmrzOKQ8nFP3wlDkNhYW3dAJP3ucRuiAWvLn5hmTY9KoDvgwDhVT1BYJOemTnTipDUq8Pb5lEWJItimTEts3W1wX1/j9f/b3I5syVMcKv/j/+UX89T/317/KbfAdezVN8+Vf6PneDdOAY0Ms3UV+IROPUz8zZGdE1eRYmK8TrovrsUYe5TQ2h8RPSZpZw9W81hqrjNODdmoRqpAaaSjs+z2ZvOmSUqSoQD/1eHd8R+LJNGGRLvDR6iOGjUwDvMnYPzC/sfkGjDPkJk+T6I9DFaKwBVYJU0LboRUetdcRQwHKKTEa1WMtdJksznCRXdA/Ee/xOn4tk8FtusWIEaf2xENeaRqZ3IQsyxiqM9ai3T8PZ0RhhNvkFnVfy/Tcr8nzMMdgB9xmt9hkDAMJNd+nUIe4O93hW/tvIU9yLJMl6p5r/yRMUEQFnrtnxIaT/kN/QBREyBKazPzzwjcLaZxioUkk8ua5lVohj3I8No9kDRevUGZMhlVaieYyDFiQGhg8Vo+kesRbdANX+4MdkKoUt+UtkohaTW/W9chVj/1zzsmmzD9v8yjHc0t2tPePhAW1wb9w+AV8dvoMq2QlgSl5zPdjsANi0AvR9A2DrOKFyOV8mrPXogM8eE/dCU8NMYveVLZrdrgMLmUK79Gv+3qPy/xSWNxKKxSKNBRjXv58qBiYlPSJ8LsVFI3OM2fZE3XicJYD6RBX+RXvpcAJ891fk03P98fTQipDqsOhPSAqohe97nTCJtkQGxevMGFCc2aj8SVDrR2hrZaAKB9e9WrxikbmmgWwL+I9QWWbbbEIF2gnZmKMjoa2NqQm+NTxfgiDUMJtUkXDYT9x+7rJNkIfeeqeME0TVhmLFq8pHqYBD80DNikllZt0Q+b+LMHMdS6Si2EaAACx4/nSmY6bLrBRLuNSaCWhDoUMFelItOm96UVm5ANjPLLXp02mEdGNBmwWn+tnVFFFso6bhJN/WVzSn2MaNH3DDXHA8885RzRsQ17/aTihGyijKZNSzKHLZCmDsS+i96qxQu5Y8K7SlTQK+3aPdbImk9zOeE3FQdYiXmDf7ilXA43MHtPcjR0GPaCbOgmP8rz+PMqxb/awYNGOmb61TJcysQe4QfPhbwEChAG9YV5rPxg2Zet8LTpvKOAqvxLgQ57k+Gj1EQ4tEz0XyQJjyMGpz8Fw1iFPmAq6b/fohg6LdIHGELdb94R86ITytm7qUKpSEtkBSOPrU8c704mUxktOvLIBoB+x7mrhoHcjGyMLGjrDIMRNcYNtvuUmqnrG3XQnn4v/ezDnVsQhMddeGhmqELA8NwIXiOzmq7y+rYLcOYc/+Af/IH7iJ34CP/VTP4VvfOMbX/kLJ2GCznH18Xrxmvg9xw50Ha/p0p1h+c3AibTnE5uJ6xYbUPTvMU1xGHMi0tfoxx5IeIMM0yBYNc/ndHAYA3I6Nzmd38t0iYvsQlzDx+GIOIwFrRfrWDRT/dTjNJAkoiy7wNvlLfKY4RueqduMDeIgxsXiApuU+mgfmOMnMaPlOuvQHgSj5eAw9iOuiitcFpfY5BuRIxhrRI/7OD7KNMdTT7yOdJWusM7XQmRppoYoxQ0P0093nxIt1LHQiBUveJ9+toyX1BD3NYwz2KZbFs+WmsZlvmSiVsvUyFCFaC31q3ftHdd9AahLd+xkm7ERfXge5ai6CutsTe3snNzm0Ye+ax8sCQK5pobOT8w8LrEZGsqD4lx0YD6S23NKRzPrAo3BzSc3+Gj1Ec79Gd/1G78LP/iv/iCGbsBnHz7D3/gzfwO7b/3yK6f/qXFDv3qxRMD+9OUksJstV7Wn9sQmTFPPHwY0NjkQX3buz/AcZh/KFQQBPpw/IFIRbstbFCgk7MCvDfOYHNg0IoaxHmv4qGZ/0KzTNS4WF2JCHMzAaa3WZDRPLLCKmGEs+3aPfiRFwSfrNkMj4TNJmOA2opmyiAqsshUd+nOTFkdEv31++pwO+4iSh5vVDYIzw8JSlcr62TqLIixESw0Am3wjWusP5w8YDeVn62QtOuYkTIRWo6DYULtAJqRZlImWeYqYJZClnHK2phVz6rE7ytr6sXrEsaGWNlIR5QMBv241VMISzpIMiU5wGilhm8yEKZqABMhdjkN9wGVxiWW8RG1qmajpQOPV4hUnr0EEp51Mg4OAkpUkSmSavkyXWMZLhCUnRwYGy2iJLMkQBZFg+TzGziPZGsOGIwv5HvhJtY9893izKIywjtbCzv8H+3+AZmxw6k5YZStcRtTu7luyhf0quogKkQqFmpNmLxMBeBB/uv8UD9UDYs2gJC9fUErh0/2nEgIXqYj3hArx0DxQ5qgzyixMj22+hYGhj2n+3r0p0AcUfUG9AIBFzOQm7Js9GtNwHW9IjiiSgjKUupZ8BGMNnHLQo0YYhYimiBK+MKTUyDnJ5Pho9REeqgecxzPfX0ddd2WYcOwCh321R2UqGGuwr/d4bp5RZky+Dl2ISXGAdVFeIESIQ38QDXmsY9iARdrb01tmYyRM5mymBvt2z+l6QtngFE1IVYo4i3k2tkes0hV6S4a30goXyYUM0gCevbt2h/NwxjImEjWJE+iJTYS1FgghOEWvw/UkqEN34OcXU96JkeeOpFsGfL+yiMVvPdRiRvdykcY0TL6cNxeR5taimZqXTV5APxgCIFGJ6IJPHbHIfvPjizOlFPanPR7rRwCQwYCfBCchudixjrGrd7iv7xGrGHmSc6g4hxZ57PBD/SDP5W2+lcHWvt1zmj/jKHvTi0H+Kr8ikSWkSd7r570J2fuCrGVa+OQm4bV7kpWxRsz1rWnxeH6UdFh/r2mjRdZ3VV6x9tKkymySDRwYElYbTtIRAmVaYlfthDXvg5G6qRMajY+lrwzTYT0+0mdjeBmXR5CO04hEJzIYBSB1n2/GVukKdV/z/LdW5C11VyNQAS7zS3nPMWdMeGnLx+uP5dkS6pAN2zAhjJiXsopXIjHONGV7xhp+jRmhWQ2V5Gt81de3VZD/6I/+KP78n//z+Ct/5a+gLEvc3d0BAFarFbLs2/smLrILIKXZKtPUxNVjLUWfckQvHbsjek2O5GrJLuvt8S1DHYZGHqibjBdHGfEhUBsWkf3Uy4rRp8f5qXMYcEruzZ7eyAMQOXc4HbBJN1ina7mA/IQCDliENGEYZbDQC1nneCTXMlhyqqNTrOIVyrSUhDnnnEQmZ5q8ZeecmOC00rjKr7DJN7gqriQ5MVQh9t0eh/YgXe55OIvR6LqgMfXN8g2RQbN5zj8wLvNLSZO6XdI5/rZ+i8v8EmVUisY4QIBlthQGs7MO/dQjV5wCNgPDAFKdCqfcSwi85tBvC3RIvS4CYJNuJOa5Hci09oYtBJCuNwgCbLKNmPvelG+4Ap8mrvBmAyAC4NAd0B96fLL6BB5rmce5JEBWXYXe9iiSAut0LZOdKIjQuAa/7tf9OspfPs6xvl3jz/zv/8wve93+Ahj68+0kdf5Kv/7Uf/KnAAD/4Z/+D/H9/7Pvx+VH/EwjHeHYkmvsm0etaRTzpjlvRAt1KOYoXxj5LUesYrjQYZWshMTz3D3L9XRdXFM3OnNivZM/UIF4Feq+FvPyIlogHEjUqfsaRVIIKsobxw7tgVIbZ3BsjwyqSgrEKqbxbTZueS+DgoJxlHCVcSkPSxgm8x3aA3b9Drtuh4v8QgItLKys8X289TiNYiy+yC9kFVzEBfGqQy1Jnr4ZXCbU2+/qnRBnbpY3aMcW+2ZPE9TAYUE1kTKyb8nX9tIvDY3G8DD6aP0Rwon35amd8xEQsWnoSf3wa3Xl6JOIQhbLq2yFwhaSTRDrWD5PP70PdShN7WE40OgYpQyCmd+bWMf42uZrkqzo5UVfPPjGaZTt27k74zycaQ4LU9wubuXPeg3t5Gi497KJQAfIdY5Tf8IyWeIyo5bZ87h70+Oz02dEWuoQiaKW2Uefe9lAgAD31T0+nD9ItL0d2YQjANq+FQoKwCHDMlnienGN96f3aIYGZ3eW5L844OH81Dxh31HX67eFCPClkDqfltmZjgXsbAQ1llPX99V7rM0aiU6YUjoZND2L6VSzqJ2mSQygnp1exAXDZCL+PFeLK+JE22eMlgXJOl4jizLsmh0btYHP2TxlFHwap5JYukpXWCUrShnmtOimpySwQoUo5BbKZ2Wc+hNWyQpFWEBZBROw0G96yh4uiguRvYwYpfg0oWH4WGClYfMyrTIumWw7B+zsuz0NwXMOx7knQaU2NYKJJKPIRtJAAfQr9LaX7bizDpWpsIyXch+qQHFT6ogTVRW9AsYaFFHxAj0wPQYMTAjXCaI4wjbdypnt4LBv95RvhnxOhGEoSL8AAaqO9/JTzZC9ZcoMA4zArt0hVCE+Xn+MZiD96nZxKwmY+27PInVNvOdkJzw0D0iDFEVaiB/B88uf6he+dqCIJL4urkU24jMcvK7bKwI606HqK4b3zKZ+v7UJhgDn/oxFskCmM0oEq0cJ/ikiGjBP/QmBC6QI9oF+xnFjdO64/R6mQfjuwzSgGzo8d9xoBypAbnMxYBrLmkwC5WbDtg2sGLxVSP26cgplVmLCJMWuDACC4AX+AMhU31N2vJF91+wEJakCcsf92ZXqFItkQVOqGRDqELtuh2maUOoSQcwNw2gpx/Lbim7qpBG8WlxxUBxDsg3+ycb923l9WwX5n/pTLAR+6Id+6Eu//mf/7J/F7/k9v+fb+sLt1CJ1qUgbBkvTns7mVfmMnuonTtH8hEwHGhoaEyZZ3R17psytMhbUcRjjTfpGzGVeExkGoTj/nxpqkj0GcTQjXPzi7G8H6kOjKBIXc9VUEslsrJEIZD9B94e1jw921skHPWKULtBr3hWUrEBSl0rAy6k7IXIRtvlWVqO96REgwGk8Uf9kR4m89Q9cbzy9yC7wyfYTTk1nEk0WZZIy2k80f13ml0xkCwjP/9B8wDpZ4zK/lMJdpvyzkz4MQlklpjGL8WN7RKhJ8Th3Z5nE5iFlEOM4CgPeHzzP9TOyZYbL/BLO0rRkYbGYFtikG/EVwHFN5AKHszmjCKkv7S1RcXDsTv3KcJNu0IwNLrILLLMl+rHnATHjKKu+Qmc6bNKNTOolQS0I8I3v/gb+o7/0H+GzX/wMh4cDfvbv/Cz+7k/93S9du7+axfa387q4vcDm9YaN2hy24oOwmrEROZVHdXqT3HP7zCTaOKWcJy6xSTawAaO0F8mCMdFzIFOZciLnY7L7kb/uQxwSnTAFcWb5e8Om55NncSaH2qFh0a1T8of7qRcucBqlyFwGZCSIBEOAIqRc4tSdmFg6N57+fgsVD4hjzQTMZbJ8YaMHlLJ4csC5Z4jMbXkr9CMfXnS5uJT7EQBCGwpv3U96JztJEEY1VKIr9qYw57iJuK/u8fO7n2eYSlyKvyVAgMviEsf2yMCfKIIZOWluhgZpPPPbMZEtH5fIdIZJ0+CVRsRXuoAyu5vFDZNRu5MUznmU0xMza/yjMEKpqf9uxgbngaveTbphWuHckMQ6FlN6PdZ4bB759We5l5eEeeazp151U8fpMLg1SKKXZMhDNRtF5xCffbeHUgrfdfFd2FU7IGBqZzJQgrfNtnBwyFSGdcqtWTd1GNsRXdQJEtc68ri9Jj3R5K6f+hN8mNyp5XMmj5gpkYc5Tb0zTcvrxkMViolxMNzS7WpmI1wWl1jlKzxWjwxkmpn9rWlhOiPhTMYZ2IkTOV+4PzfPHBDFJe7Od/j88DkTibNQ5Dx2oqks0Qm01jJ08WdiGZcSmrNKV6i7Gh/OH/BQP+D+fC9TXmstVskKb0qeeX4gcZFfCGK2n3rywkODtm+xa3ZC6NGBpsk7W0p+x+AGFLrAftxj1+2EAFKEBRSUNFvtSA1xGqaSE9GbHggh2EN//r5avkLWZrLd9BPgf1T9I3kGhyNN0etkTQADLPX4iGBghLrRjR3RoenqRbo2y82+qP/2klZfkHtM7jANuFncoDMdHttHpIo+smqs8Fg9cnOVXpKjPRdYp/6EdmjxUD3g4fzAbbdOZQMdgj6Kqq/wS4+/hMuSwWl+4t+1nWQu6EDz+axDpJoT/da0uKvuxKfQjpSv+mCfRbIgAWRGHT51T8Iv9xNyB3pPWkND/VqtARCr6yU+Dk68a4lOJFE0iedkVWfEiwHH7cKx5YYv0hFDkBwN7ufxDOcc1vmaRvw5NMmHM41ulMyXbUGs867dSRaKL4y9eXWaOMlXijKrpm8QRzGSJOHPPuOeq6HCh9MHHHtKLs1kAAtE0YyqVAkWCY3U9809lON2/tgeMVrKaNIohZv4ft1Vd0hDIkO38RaB5iYxjmLZgg6GjUc91LK5tRNriFW2EiziP8/r25as/Eq9jDXC0PbmEx/wkEQJiqDAoT1gm26lw2sMGZPbYotTf8I0TfKwB6gVTMMUb1ZvqEMcG5F3HLoDFMjlDXUo6/irnOzLDxU/3CImTsqCtJFTc0IXdQzWmINAsojxvIF+udFHy1V6FDD186l+glM8rHNFOP6xY1jPaBiv7HVHfp28STaytj50BzYfc5TyqTuR0ToO2Ld7IAC2mlitTbZB3dc4RUyoi0LesADY3JhBdMLjNLIZUHyo3i5ucZHRSf/+9B6rdIWPVvQFnPoTuo4HbjZkYmb1U7gPpw/khvdHlGkp6+YgmGOunZVgGM8b9tjJQ3vA7epWzCle1+XlJb4rbgdymQWTZ9itNkMj07kIES5XlzRPmYGHFBid7OVDH60+wiJZoBs77NqdSIu8GWY0NIhusg2+8QPfwNe/+XUYZ/BD/8sfwr/9U//2r9h1/yv5ivP4hSgz66LTKMWpP+HUkx4B1pc49AcW7GHGpjSwiAPKsa7La2RhxpSxeQpqrZUmzCgj9JS357eSqBuAn7Nf0/WGpiHPgvVTw/v6XpBal4tLmrGCQHIEPILRTAbN1EjIyLvDOyyiBW7KG2pZQ5rF8jhHHue4P98zdW8OUTKOzYILHDn3QYjrkhrmSM+StZlNPkzkm8c6Rq1rKT4HQ/NdFnLiFwVkGvtC1a9Sz/1ZJqVZlOG5eSbJIZlQJiUu00u0tmV4mSPa8VX5iuZxZ9DWPHw8ynXf7JGOKQLHad9kJxzGA8aK98I232KRMoSoMdSkfqg+yL3rNbvLhFuzU3/CJtvIPYmZQ++sw6pYickT4Dbq1J1wwkm01YELyCWfGzi/nfNGKh9aZa3FVX6FfbvHc/ssE+92bOUzC1WIQ8NwlE26waE/4KKkvClLMtQtI+0f2gfK1Qw9C35S2AyNSDmSkEzieqhxaA8AIIbFydH0uogWGONRimVPsPITukaxqcjj/EsIRV98+bTJ5/ZZgkRa09IAXdygSAsSKubiarITsjgTL9MiYELzp7tPcayPGDAIctEDBlKdio75bM9sRGdaVmtakTRWQyXUIaXVS3JyAKFuOcVBUhJRgjHZiUbCkdrXeqiJAYwp9foo/ojFSziblSeLESODw2aKzTDOGDulkINptbGiIXQylEvuuh2SICE2rqavoEgKkZ84OGk0PP3KF9DP7TMe60fUpkYRFyTvzFx17z3yW6lNvkE3MXXYT0CP3VGm637jO4EmUc/c9hhJT+FxcPJZ+uGBT5red3tEmjWDbM7mpsPLXa2j/KObOPjSoJzDWceANhVLxPqhY1q1fw7rQGPEKO/Dfc3gKJmuB/zsBzPg3emdeMGKpEAUMmk7j3NJHG76huZqa/F69ZqY4nnAUY813h3fYcIk0+00pLfHvy/bYos8pLcs1zmCjCCIp/oJh+4gRuR2bJk/MbVQncLF9kI2llVXUcI41Gi6BlEUidwx0ZTiHnp6EtI4xWJcSJqzf09hgTAK+QyYsxsmTOIjCnSAY3tEpCKqKhTrkn27p59hrrkCFWBwA4lZusUpIDFlnazx8fJj2ZpprXFVXGGVreCTYOM2xt35jj7EZIkyLXFhL/DZ/jM8nB/wzc03uVGeGKjlAvoB4zCm/EhHUrMUUYG349uvfKb/c3HI/3lej9UjppjxxKMb4SaHy8XlCy88UNgWW2ySDRrTSHFVxAWiiWZMMxkssyWcpSbKJwViToby0eHVUAlSS0Ojmzoxanmt9U1xQ7RSMCc0zfqsYRrwdv8WVVNBaQWUgAG7ujyiLMInTsUhETtpT6ySPxifmid0lpOIruoYFKD5gNhkGz5kgkhQisfuKA83n17pD7hH84hu6sQZP9mJppuZFHPoDrir7vgQDOa1nTMSJDBOIwpD053HL9VDjXZscV1eoxkbCTeo+grP7TOeqifcn+6RJzlSlcIGVrp2T4jR0LI50ErjanElumCZKs0s33Ea8Wr5CpfZpQQ2LJMlHptH3J/v0U18gA5mkPd1MCSyVH3FOGVFY1GsYvmsQj1rAwPC/H1RuR/2uKvuxOioNLXAi5grOx8FfupP8jCHAuqWKYj/5Ot3/Vu/C3/j//I3cNwdfy1vmS+9/o1/59/Am6+/QRpxMgVAUHxZnGGamLLnOidpncfuyENcKcRBLFNpj85KdYrWUdLVjq1MIv0h45xDHHArk6iERUvzLHrZwQ2IAjaDdV9z4tRWMnks0kIkD5Wp8Mn6E14bQ4un8UnoAcPElfIqWZF8MU9MRjNChQqLeIFzdxaz6rHldNwbPT2etAgLeOOyZySnKuUGKuSEd5xG9EOPp/oJAK+1Mi45zQwoXfFo0222xbE74tSfZEXu8xIW0UKKzzzKOW2pn2CdxbvzOwnp8QxsrTXsaNE66pQrR4NfEidY6iWccdhmW1mxFhEn1LWtkWpuNupzjfvzPdGlMRtQC3K3vZlvES9kw3fuz4L5MgFNVz5IqB75d6URt5bGcZCxTtZQilP4SEfU+440mHo2uXOceHo29dAN4hXwE/hqrCT8ZJgGJraGIRsQrfhMDFMYZfDUP6G3Pb6x/YY0AL3pcZlf4rl9lgRBb9w9tjQy64BG9WmaRBro04971eNycQk3suhpDDFqvkie7IRAB7LOHqYBfcPtWpmWyEwmU0zVK4RpyM9mnvYO0yCaVa00koCyMT9ZD5IA+34vLGQHJ4Mhz/rubCeDFGEzz5LLSHEyl4c5tvmWjcREPnNrGMhT9fQfREGEc3fG5wGn8olOYCf6rW7LWwQIsCk2YjLcNTvEiGEVi9nGsuEbLAuyPKQcZgLPoef2GQoKSfgytTwPZzHWeo2yD+jZZls5S8dplPTGNErR9gyouSguOFXNlng8P8JZh3/09I/EA7bNthJN73MmhmkQbGU7tsJyr6JKnoUeItCNJJ+d27MUqYMZECcMximXJRnpY8vaAIyUr4ZKWPI+Ebnua/S2B6iig3MOqWLBm8c5rLE4uzN14xHlWWZi6OEyXnJIBDZNT82T0EiM4+9xlgbyWMeCRI7DmIXxwO+v6irUXY3BDdCVlnwQf+16DbU/H5+aJ9zbe/FRAPzs05AoR9szLdUHaLWGKeXd1GECaWVhThme99ic+zM+P3yOVbZiWFtP+Ygfsn16+JR0m7mJfmwe+T58IQnWBpYN4Uw8yaMcrWmF2rJv9zh3Zz5v5obXBxX65q53PZKImQoPFfX4H68+JiI6obfsqX4izEBxsBFqvgfBSL/G2Zxxqk9CgMnjHK9Xr+kPGRsordD1Hbb5VrxUi3jBpnRKUI0V5TGGpKev+vqOFeTt2CKJE0lhWsQLDG5A3/cEsIcFLnOaGbOROiePZJvcRMKBIcEhCCiFOHZHKK3w4fyBF/OsvbKBhXJKuhuPOuqn/ksc2VSneKwexWwZasozlFUoUkbEn3rqOwcQsRPrGGNI9FCiqbv0xS1m/vCu2YmEIA6IIKuGCgC4mkxK5CFXzd3Yydf3HVwWZdhkG9yd7xgIoEJEQYTn+pnhDAlXs19kBO+aHZbpkrzVWUMn009nZRsB8OE/OU6kd+0Oz456YaUUAhdgBHXYgxnYNLkAOqTBLgoiWf0564h7C9iF39V3mCzJKKtkhXZqUXc1nHK4Wdy8JNAB0ogc+6Mg1yIdMTp7GKVo8LrNNEoRBZFowv2h4+kx3di9JPo5JxO6NE6Rh7lMTP1EPQ1TbPMtzv2ZzvuekdCVqf6pa/d3/m9/J/71f+dfR3Vf4S//xb+Mv/3X/zbuvnXH9dWv0UslSqZCXwxQeW6e6ckIHe6re5zGE3JNisVHy49wHs74cP6AVbLCdXEt0pMkSmR1Wvc1jvooReQm3bCgGxjKZKyRA84fVvt2z4dflAuOM3ABtukWd9UdiqRAP/QwMAwESdZ4vXqNwQx4f3zPiZPmRH1wPFDeLN/IhGqdrWUS/eH4QTTPPhn2w+kDetsjCRIsc34fZVxKgSPkn5E4zaviCg4M5ho6mlChgMuEa2qvxd9mW+y7vYS/LJMl2dQzxtCnafZjLwm2velpdrPkNVtn8VQ9yaQwj7g1e5geKFFxE+I4lhTCU3vCRXEhBlYfve6b3ckSK3ZT3OCxekSoQ8FNnsczds0O23wrEoLRjtJg9WMvYWDdxMTh0bBYf2gemAwZx2LC23d7TiF1CDNyU5KECfqO2w3/DI50hIv0Aut8LRuJeqilWWpMI9KGVJOXHVgWedYyRbVMS6zSlTRX9+d7Gn7nZ5bH3rWmhXZEO7Zji0N/QN3XbDwHUmHascUiWyCJEnpMph52suSjz6mM/dRjY9nU91NPdN3MzT61JyitcFPeQCsi3IaWjd6hO7Bwy9ekRsyTy968xNgf+yP6kcb/i+yCW4eAWwdP7CnjUqACWZRRN52sYGFx7I58Ts/R4V4y4KEF4zSiSIiAvSwupeAZLHnMF9kFbhY34gHxvoV+ZGhLol5gAlppRFOEXb2DzaxIwmpDLnqW0Pzqjdj1WOPN8g2vIdNhU26wzJaoOhYlgQuQrai3XcZLKQJTm0qYnQ0syqjEviYB5P3pvTSOxhrUfS1SsCiYJ68Nn+k+HTrSpKDFKqa0aZZeeXRemfBaPfeMiPdo0TROSUCz82YqSjEqTq/NZNCOLcq0JKGk3TPden4OqYADpDIuZQM1TIOYRk/dSQyyYRhy6+GcGLjjIGbGQN9jmiY0lvr8JEowmUm2H14eGutYGuJzfxYJUmMayn5nbXTVV6j7mnIRkAuvHTci08hMBQSQ78f7e7yPoRs7vKveAY6whVjFuBvv0PYcpF1kF3CTE6mvcTwDrotrmMngYXhA4AJev8rCGDarxhrKQ0Ky0x+7R2hoXOaXOA0nDjSnWjjjCMDGJsqx73m9+WGbZGq0TzyrZrO0Vhrn/oymZ9aBmehD8qz0y5zY2+rMhnUyfN99OnGaMCwqsPRdBCqA6hTKZYmPVx8zPAoTsjzDx6uPYWEpB9Mx7ut7UvTgxNc22OErn+vfsYLcxyD76OtVykTNUHON4RPD9t0eq2SFzGY4GOpPrbVyg3jNYNVVGMHVMACchzN2HR8OoQ7R216MPmVcMgVUa5nQNmMjiYCesKCVpv5VhzDGMDJ84OoUgLiX+7HHBOo8u4kBOct4KdPgPGaxfOgPiAOGJdyWtyLJaAferHrSAvtPNMkp9VhjmSzFFKGgcKgPJBzMrNtxGmFCSoCqtsLN4kZiu62lWcLrtfqJWnT/M3higUcJPlek2VyWl8gVI9KLqCDKbuhfCnvDh/oU8OdOwgTOOdFZ+Qhpb/IKgkBih7XSwhH2r2ZsUHd8SASWxIY0TsX4MZhBkE+eCJNFGacapoUaFdm+OsIiZsBF4Ghe8Td5EiZ4Xb4W88hp4KTUF1uJTuAiB5Ow8PHymr/wd/+CMLAjFcnD4fIbl/g3/9C/id/9o78bu7c7/L7/1e/7tbp9gAnQmpg+X7B0Y8epXeiQRzlela+wNVtxrW/zLS7zSzEjL5MljsORn1GUCDrRT4nyKJd45m7qhPnszcv7Zg8VUusXahqnkzBBMvD3FRELubM5YzKchjjHZixPqOt/6p5wHI742vpr9Bu4EWYwDJIaKkkcLeJCzNBP7ROSKHkJqYBDmZSITYxdu0N/7nFVXsFmDPFxzokUTWk2Mt58Csf1qd8oeTPlyZ7gDI3M/h7z0pBlwjTELMpgJoPn5hmPzSM3YKYT/Fo1kHOc6QwndWIjlJGidL245rNjLgRbw4RLBMC2oFY+1kRMBi6QMBdjOUXL4oyTuTjFTXkjshqv3491LNOvamBzWcSFUJ+MpUEa4OH/WD9imiZpRD0JylgWKKlNGcQ0M5X9ut/znB0cBkdkZZqy6XXOkfg0thJDbmGRDqlsTb5Ia9kkM4UqTHFZXMoAZDAsMvOQmvcoiGADy2TWrhJzqYLCVm35/UYplhHDxt6d3sEY6o+9BCoNU7w/vafcYJY8+OaqmzrsOsra6q5GkRayaazHmqYyRe36U/8Erfk9+03MsWP2wSojshCgNNFaSvj6sWfwTkgJgUfm9qZHF3ZCEwoU8bg60BI8Egec0p7bM7nU2QZaa25FXIBu6NBOLb734ntRptxmeAPlU/MEY8yL/2ochNe866ib956nUHF9HwY8+26Xt5zc4iwSSAAiN8vjHHmU4+58J597mZRS9HlteW8oRzl0TLWuxkqIKa1rhbfunMO22JJOA4NhGLCIFyjCQvwhfqt1tbgSA633dLV9i2Zk3sY0TcgjBgjWI+VRCIDn6hk/v/t5aMxx8AFxxq+Xr5FFGUPIrMUABjr5MJp1RpnLU/MkuD2fITKOLPqvMhJJGtdIY+WzOs7jmcWnIu/co0vjkNvA+/M96rFm3aMz1H0tG+ZxGGXjqaDk73xsHhEHvEYizfOxA+lOkYoER3vqTrCweLV4hcEym+Uiv8DV4gq7boeH8wMAiF8oj3PoSRNHPG/Gz90ZI0Z8bf01vFm+wb7ZQ/esXTx9ygc3ZiGHqX5zeJVf4b66x7Hj4G2VzuCAWY7srJNE1GmacLu4ZTbCrPu2ATeOu35HAzfA9GfbUpsPDuRcQIPruT9jES/olwFD48ZolLCvLMkE0ai1xjblIKNNuXExhqz2VKfEb84+Dy/HVFCCZ/Q15BexrN/u6ztWkC+TJdbZml1P64hAS9ZMi7SWXV26QjVUnJ4khPDvO64QPM7OvylpRMdsPdboxk4Opfen95SRRCmuF9f8/QExhdpqtCETziIV4aK4kLQ+G3BSsM22eKqecDInWYc/NU+4Lq4FNWhh2eXOq7NVukKiuHLcdTteoHaOhZ01ir7A2Ld0nfsQBD999BjAznQwxqCdKCWoJzYNJ3PCpbrkBHka8XjipOyxfRRsIBwjkvf9HrGKsck2Mj3w0zifNuqnWatsRaybSvDUPeGxecRtcSvc4dGMlHcMNIvu2h2stYhC6jM36UakLJt0Qy2ijmUN5R/Q+2YvRrJhom5u3++RmOQF+D/jznzxFU0RLvILIjAdu9BFQnNQM/BmKKICQRygGituP2yHr6++Lg8wb5KtxxpFWOAivxCiQ9WTxvL1i69jGAe0E9d2XldY9zVpIxE1zElIacyhO+D219/ix//yj+NwOuAX/84v4i/8yb/wq3r/3L65xTJ60eMpRRlOYxiVvTd74c8uIj5s6r7GR6uPsEyXeH96j26iUa43Pe5Od/zcDMNaHptHCX/xkin/EBrcIEYpv/b0079Dd4DSlHM0/Qt7XjlOhhfJQmggu3bHNf5Mfwl1CGVpFjr2Rx5SAc1Kb09vxcBonOFBE0a4Lq7xUHPS3E0dLrNLrtWrZ1RthfN0RhIkuC1v5bC/Xd1KseenPe3AwrczHTbZhs2wpVkoj7lRGS219d3IpMvBUS7R9I1or72sIdUplulSsKxlxDj6Y8vkSw2N77n8Hupoh1qKiUAFQnMJXIDIRVjna8pRLH0UeUh8mtd6blJOWL2xzRON2rGViWEe5+ibXvCuflgwjiN23U4kJWVSEn83DRjaFxnGoAZkAeO+AQhxJAxDFIqyI2+iT6IEh/EghId1tka3JyvdGy3jMMZzxVTLZuCUsLc9EiQi/SmTUmKroyBCHMZiyMvDHHlCOUCAAMt0iWagsfNN9gY3+Q0mO2Hf7QXZqQMNrXlgL7OlBLMt0gUu8gs81U+4q+/Iy1Y0qT+3z6LNDYNQtrSe079xGzw3z2x0Y3pU/FDCG/dPw0k8TQAxsLHmVHca6INaJAuRSx66A4N7wgIqZKCNi4n4c4GTHIk0SmUgNNiBzZIdhWHejYwGP5kTdt0Oj+0jyrDEbXnLBOQAsIPFOFIe5ilKPo03DmORXXhZXGc4PIPiEKdMaFpuDe+fTGdSDE2OCa0OTkACvlgEOIQZzQgdMYgIPXjtNAes8rkYHWqRbzrr+P8gbShwNKZv061Ie7xvYbBEEJ66E0P2ZnnV5EjBaHoG63lZZxiwca1HBlhVpsImoYl3Ha/5M86NZahDRA2HFHVdC5lsna1RhIVkPFhwCj8EA9quxRAMQmXKdIZNspFEzTTl5ui5fxa5lZdV7Tum+noP1Lk/45PVJ9jmW7SG7Pin6km2Xgj4DAgCBvVc5pfcPsymQ18Aj9OIQQ1I+xRxyCFBN5LOYmEpV5sLThUodAMHjUk8D2ZcIIz1y/xSkJ/+OellxV66+2b1ho3TnMI7gc/MMAixTbfYt3skScJhWhAgDmNcFpciSfXhSQFI9HLTTFnrD3BwlFwa0nDigQO70Yx4rB5xkV/gzfIN6r7GtiDRztPIOsPNyzrk4MeBJuospJz13J/52c7UrRRMnX5/fi+NhnMOk54QpzHO5qtDj79jBXkccU04jIMg8k7DCZnLJMUpDVMhLPiAFwcnhbjnig92kFjlU3/CaTxhkS64Dhlr7Ls93pTU2zo4RtiXrxGGIY4djZyeY+o7qVCFuO/vmYIVxYhGTuOLqEA/9nisHxmIMXNPr4orFHEhiMDKVJL0lKg5XMJOUpj7WNuqr/AYPCKLM/Jy5+myc0z6HKYBneWkvB14YyQ6QWpTPLWcEBQRXeWZy6TDe6jZ6XrSRjVQclIkBbvwiqaSRCfoLI0Yfsp6kV/wPQb1aFoxde3cM1I3GejMVpYhQ7WpsdALwQhNljegMQZJzM9KB5oHwcwyfqqfGPyRLvBcPcsqLM8ZGnAaTzh1J2QxSSxe27ZIGGhxV93hKruSB6xHXI2OBdEm2uCpfiJOUeEFdzdHWBdTIVMRC24RXODIXB/5fQ+GzUSk6eyOoximJqlE0Eozim3f7HH98TUWwwK333WLm++5QX/u8XP/r5/DT/3ET/2K3z/X19eyMl6mS67062fAAkMw4Ll55hbE8YG1SIidi8JIHObTwKlgjx5dz2tsna6x0kwObA0NtdtsK6ZJ74IPFdep3kznH35mMkwcDGl8Po6c0JjJII1fiAdpmBJ92bdYJStZQY8T+b+jG2FHCx1pQQUWSSHX5Gk4IbZMrfQpg6lOMQbkdz9VvL7SKBVT3/vqPZzhQ9ynyuUR5TyjomyjMY3oMEfLYjUOGLbxesXtipc2uIHSqDIrcX+6R2c7/iya92+sYqRZil96/iWarhQPqUN9QJ7mKFyBTbYhA9c5OOuYfPgF3vZj+4jzwClPEsz3pCH/fd/tsYwZJe59Jf4eMCPDcTS45auGCo/1I8k5jtKuIirwUD2gG9jIeFJMMzRsSExNI9+cInmREXv3xRAdH4KWhRlgOAB4u39Lc2O6QKOZrnuzuMFT8yTG+nfHdzgMB8qX4jWWGeV1rWmFQuWNv3bidaCgxLjpSTRFwnCOZmgQpRwKLBS18RMmhiulGTb5Rggodc8i6qq4onTF9DjjLFQU6ywlBypEbWqcT3zuXeQXiMDGwKcDbrINrLM49AeME0lakY4Q2QjWWdyWtzj0NOiv0zVX6eC10QwNtOb1/en+U9mAeIqOb3bP/RnH7igFSRgTWemf3YeecjwXOFxkF7gs2Bws0yWvQxPj8fwI5Si9rAzhB6+z1+hMh88On+Gj5Uf4xsU3iB4dDcKQRvskS8RPsW/2OA9EfBYxz0GPsBuGASHogSjCQgYZu3aHY0v5jcdQruO16MF9SF4Wc+sQulCIJS7gtNRMRjjwzrkX/5PWkvTsZXvW0qSbqhRTMBvLR4bf2IgJm0/NE9qhRR7luMwu0RjiCZeaJKNmIIq0GztpzryZ/Ngd0fc94ijGNzffxK7e4aF5wIgRdrJYL9d4Vb5iDaFD1EONX3j6BfGtfbL6BM3Y4KF6wOfHz9FPPa4X10h1Krr2znQo41I2bp7icu7PXwqkCoIAbd/is8NnaKdW8hKMMvQIWGZCnLszppjFrwUZ/35rPFomiLrAiUJhlTEvIA5iPHaPskWHAypTIY5nokvgSOCJFiSNJCsJL/JnfuMaOT+PzRF7MEMjCAK5pkIdEmE9x9DXQy01oLH0JJTJDIUIFDbZBu+O79DrXsIUrbUwoRFOu9KKMIh5qHm9uBZjb6QjyaPwAXW96fFq8YrX9Zwi7Ln1twvmy3zxbDq3Z5w7oiOd43N7k3Jb1VXdVz7Xv2MFeaIYSy+diqK22ssS1su1uI4nR51sqENswg3KpMT76r1g/vx6thkbJFGCjdrwIrQTnbUzgcCvLf3UzodZ+AtfiADdQXTM557pcHEYy/o6TDnB6kyHbbDFZXEpK/FYx5ymuwnaaXFPf1HqcWpPstoOwHX0aaQ5JQxCHIej3ASTnfBu/44mw6HGMAzo0QMKCKeQxbTrxKBW5kw00y2pNVk0s4Tnh4Pr6RD2aV6ta8W44w0wHubvsUjP9bNsJJq+gcsdjUPjGat8hcucU8ltvhWWu9eHrVOaZ7OYBix/gyVRAjjg4fyAZmxEI1ubGteLawDAg3ngFKs/wkzUr8IBcRDjJrvBaeB0LFUpmoAa1X7o0Sgmh3nc1zAOOI00J/o13eRoevQ3mp/gOOtwMifEUyyknWmasBs4oVina1lJ+Ru0iAokUYIszvCPD/8Yk53wA7/5B5CECX7od/4Qfve/9btxrs6IsxiZzrA/7VFMBX70f/OjX7onfsfv+h3YXG7w4f0H/PRP/vQ/dc/8B//Jf4AojhCXMX7jb/mNNK7OaWM+LjwIAnkQeSOUl0ZppXF3voMOtEwAqrFCZCLR1WdhJuhQa+2XDNFPzRMDpmYWf2eo27yv7/Fq8Yo0pNmN7kMqMpchSAKaIdsTXi9fy+E5TPQCXBaXErTQGAYIKUdjrU9f7KYOx/MROqA8QDmFuqupCw6I3eqnHo/VI1rTopkaMRZOmCQ4oh977Js9G645GVIpFnrGGZFBSROmaMyzsNi3e2nYBzNgN1CrneqURfC8/hcNtakledBPdeMsxrk9i0wij3PcLm7597U7kjUMUa2wEKRf0zcIsxBxQF/DoT2gTEpcLMhN98ZsHwIVqlASPy14UPsk1X7sxRDeDA2pNLMm1GPBIhUhiRLUjjIzz6wGwGt43AsFJI9yLPIFbM2iIdEJ8iRnroEKsGt3EgwWBiHuzkS7bbINtskWV4srEltm4ol/HnvZWJ7QJFsPtRBoyoSywzzKiedTzGbII+INbct71w9rvGTBbwi9FO5mcQM7WfSux83iRhJRzWRw6A+AAznVWmOhmSp76k64LW/FA3NdXMukbbSjpJrmcS5Eq2N3lGLS9hYupr51ES4wBRPMaOT3rNIVteKG772fMPqf57F+xHP3jGVMIkSqU2wyYixPI1Oh04g4vtbMMhBFidupOzGpdJ74dlOHj9cfs8EOYtwsbqhjdsApIE4zUtwOGcdkyRBzonWakGM9npn14Hq8Kl5Bp+TKN6aRYDkLS1/JHLLkwK34aEdM00SQAxTaiVSsfb/H0i157o01n0NhAptZSXpMNQd2ACVBXddhdKOkYZuJ4XK+kF8lK0mU7adeMLH1WIu0IQqY2FnGJYqIQ5tzf0aRFBjHkcjSoYPTLGCzJMN3599Nzvcs1PfNVKQjwWtu4y3W2ZrG6LREmXLzOAwMypnchEQl2GQbPHfPcAGNp3VPQo6Xj61TejSW2RKn/kR/2tBAh5SAdlOHru2wTbdYpkuczzRqLuKFwCfSKGXtMbO8IxVJAJGHKTjncByPuDsz4G+dMkHUWCMDkMAx4byI2OR5DOx5ZN7ERX6BfuwRIUIQBi9ISR3h9fI1Xq1eoR1a+sZ0SOiEmRsES2pMNmVYZ6xXzsP5S+nMj/UjMp3hUB9kqKYCssvHaZSk5d722LU73iNJjm7o0Fj+DOM4cluRbYRUlke8vrqpQ664zfPIYMn0cCQreSqgv9+ts+gW/wIW5MYZWaX7RCyfjOfDHOqhFiZnHtFk6Ce2F+kF9aTNk6SgeazSc/Ush2McEYPlZQplXOJmccNAoVlP7VP8/Hq2n3rRWnl3tdcZe+OE75pXyepLzuUwYLe3zbd0kg8pnjuSAfwN4aOjXcAbYHRETj01T9RBKWrEfOret47fQjM1qDrqO4OAfGarLdzgRCe4yTe4LC5xX98zmWuOEfZmz8lNiMFV6e3i9kUCNHA1pkDNed2T5NBNnWitvbnGBtRteXTcbXSLLHq5MLupAwwkPtZHL/tVYtOyWPZJY6MZcVveYpWscFffCQ0i1rGYDB+rR64O59jeQAe4yW5Q9QxcGTCIV8A/iBcpZUoucKiGSkwl744kXiyTJSdQmlHK7dDyoW74UF9na25cuhNZ6FrL6sqvz6qhQh7mTKPML7BvKb94d3oncdrt0KJdtVhfrvF6+RqbbMPY3bjAf/XT/xW+9Y++hTzK8cl3f4LNG6ZpplGKf/j7/yHapkV36oAcKBclvv/7vl8eDhc55VW5epkQZVGGt8e3XCvPmneP1OqnHk1Lc1cRFVjGlIxFKkIbtoI4m+wEDS0GqTRMMdhBiv19S4NTpl6CQBwYaHXqT3hVvqIRUXGScWgOgtusxxr7di9Jjq+L13CKGy8EZP/7GOOnhoEYm3yDPCSOzj8QV/EKx+CIOIqp5xx5mHgyy4N5QBEX3IIp4lIjHaGMSkRBhM/2nyEaKJ86tSe0fQullYS4eOOWMQZDSG75YAZOVhGIOdM3rMYZhuzMmm2vN2+GBkma4FX5ilubbMO1fpzRpDWcUY0z0nQ2mXuaQqhDbqFAH4Mxs5FWs2C9yq5Ek++/1n1zj1W8whjTgFtEDMLyPGifiOiTFr35a52ucV/dU+M79mgdG/Shoyzsdfqa69uB0q04jMWErgLiU511ouff5lsJBQGISHyun7FKV5QDmQ5XiytKymb5TxZlL2ZzRTqMN9xDUyKzSlZ8NvcnVD2pKo/No1xbnemQupTPGxsgBI2oVUAt/xDxfkg0Q+L8qtmEBku1lKj1emCoVTqlL3pRYxCk5DxrrSXG2xcIAQL0Qy/yP9/4JGHCn21ubvM4x2hGSRvUgUaiEgRqTqaMWfRoMHPj2B1leON128oyPKi3PRZYoMzoOYqCCPueUjVPovB8ajMZlFGJNOEzUSvmAORhzkZ16jFiRBZkco1ba8U053Ghy3iJLGbT6ptAnzaZhRmapEFXdzS6BQ6YgNPAYcjr5WtJSvS66WEc0NoWkYnQ2haBDRCFEfKIw5zBDVCOfPDAsrHPogyrnEMR30ifupNsu1WgpKGTALn5zKoNZWheozy6EYMdkAQJN0MTTcqLaIFNvkEccTCR6UzIYkd7hBkMTGwoN52lUM3AbZDQSeZo+sviUmhGzjo+tyM2a4togVWywu2C2+PH+lE26jrRIh9SUHw/wa13N1Ba8tQ+wQUkMgUIoCZ+ncf6UVLOQ82tNAJmGNyfSUzz2MAGbM6rvmLiuY6ZQD6HVHkJqgmoSlhEbFz8tlprjbEb0bgG/dhjFa+wCBf0ljgWz15K4slBsWajZxS9eSqmMVVBcYMbpzi2R8SKRnpjjTTkkY5wlV+hjVvsuh06y+1+gICm3ZDABz/MSXWKWMViBjbKyJBFQWFbkgLUm56klGl8QTA7Sno99tInnBZxAdezaVJQrC3TksCL4Mv+uG/n9R0ryKdpwqLgGr2IyGjNwkxkKj6BzJt8PKYmDYktm9xEwoYmaN5YIwbP80CTj7V84Hj0za7jeummuME6W3NtleSywvevTbahc7h6oOEyoI7TB31UQyWIoyRKxCBprBHtmn84eAzVyXACvqt2GMCVu9eMDoaaMTMYBCrAR8uPGKzRHmSaG9qQkxtN6YsKFA8+OyELM1wX17LyT3WKRbQQqooPGYADdWr1s6xmj81RUqcCF8Bai3fHdzRJKUVtLRiT3qGTOHY4CD4oDVOUSSkGDmNfJo27lhq2SLMLP7QHriBBmQkUpxdRGOEyv8ShO0iKl/+6nkfsGyB/sxlnhH19WVxKuETbt3JDtYa858ax6TgMB5kGeyOfCpTEIi/SBY7tUeQyq3QlvGqrieicDN//ZbzkKtC+TGDziEXe29NbjMELAqlYM+DGBTQrjWZEepniN7z+DcLYf6qfUKb8XL7+za+jGskFTzT9CPt+j2iIsC2IbipjmqYCBEIE+Nb+WyL/UAHpHM/NsxgMffiN90i4wPHXZpOtcw5RFMFNTiLm/cEMx5jr5+YZrSNG8LLgtM2jKP0Dc5Ws2OjMEzo/jVlGS6yKlRxU/dRL4+U/L6X4ebwqXpHV7CYkOmHo09DIvRYFkeBHG9Pg3J4Bzf8WIpTP1GsFe9NLOq9ncxtLs1sZlSxCHEkPk55oDs7WMMaIFK2ICpnoez+Ig0MRFphAAoSZGF09WXJpjTOi5T71DBbLIq7cq67CfXsvJiNrKc8owgLDSPPcIl7ge6+/F4MZZEo2uQn1wCL00B7QjA1xZFHMKZPp5PnoKStVX9E0mm9lsqYCcuPh+EwOoxDX0TUSlcAGlLD5gYZfK4c9kz0RQMyf545GvSzKxEzuN5ASyz4H/Xj6xTANmOKJxIhZ7z5MAxZ6IQerN382Y4MwCpkQ2p9lo/D56XMi5xI+H3xzGulIiBPjRHLQOuOmYrBMR/Z6/XEcYQNiIz3TfDQjNeOBogkv4LN1k2xQZqUQOnwx6APoFvEClZsJTbO8xyfFPlQPKMICeUFDczVyqowRksVw6k8yPfVTd/85G8st4WK1YIE+D6ycdRgwYAL58VVfSV5DpjNsCspqlFZsqGYqiZkMdMi02H7ks1nnWpr4MqGue52uKUvJBnqMAprj6rGGcvRHeca338jGIcEI9+09hnEQH1AcxbIpNeA5sY22WGZLGXZ1QycS1GDi9LhMGZLlsZxa0YjZjA2eqifBmnZjB+NIctrkG9zVd0w+1QxkihXrDOMM7nt+b6EOESYhJsP7FZaSNl9s+SHhqSPu9NXiFXF3KpGfs+qZwnpT3qCIaZ4MEBD/a5iY7JukfbdHHHDY0RqmkPrMlPen9whUIA1AFmUM2nI0Vw+WBJxqrPBUEzN5kV0gj+YAo4HDzl27w77dIwszLNQCcRSLV+6hfsDxeEQWZ1jGS9kCJ+E8UFPAm/INnrtnwi8UB04+iTOKIqFJLeIFRkOpSdVV4oNI41SY8gvL0CEvMe7HHnfnOwZ9BUCe5JLIbCeLT1afIIszHNIDdu0O5561nJmYT2AtuerrlIzxVKc4t2dYWG68ZnmUp1Rtck7GDx3P/mW6pM/OMSn21J1wAHnph+4AgCnsq2wloXvDNGCdrgFANhr+PlAB9f7vj+/JzDf/Ak7Ie9MjMsTchJpQfd/hDOOA83hGGZRCbgAgTm0/RR2mQcyUdVPjsaYRDTPeJwgCFEkhgPxIkc8aKr7Bg+M6s5u6LxXkPtkv1qQNhIpT7zAIZToyWk45/ITEd3CdIasyC8mt9WEir/JXxGVNrazz66FGF7C7a8cWo+G684P6IBerd/h2tsN9ew8Nds3VWFFCMFlO0JyBHZjYdpFdCEv01J9IZYgyWbc/NU8sOiwLiIviQlZ5LqCcxMfk7vodEp3gdnFLvJtjYeZNDr6w8O+JP0hSncIlPMSPPRnD1VDxYA3YsWutxfUchzQPeR1cZzquJKMIr/JXWGUr4dfmcY4Ppw/Q0FgkC4n29ka2JEok8jYLM67sZ076Ollj11AqtU7XxMx1J8oXZk25R2p6HZlfY92Wt9QPK5pejaNO10fAp2GKo+WDbrvYUn6kj0giMuAf6gdspy1er16LDr0ZG5n0dQOd2l4THocxoimiAceQbHG1pFchUpGYTCY7R6PPRi9fWHiWfGc6hCpEpjMJhLLWYlRcF3uJiVI0OPnQhtN0ksl0b15MyaEKJVZcBQqT4tf3jO9VskLn+LN4z4OP5zYBE269TttvKhLHxtY3YdfFNd6s3uC+uUeIkAefc+iCTkxyYRDiffUeb8o3NKlphj+EOkSmMvLKRxZvKlGcWEeJGOpGO7KxzbYYR7KyI0WOuk+WrfoKD80DhpHSORUoFEnBhtZYPAycxtdDjcY0+MbmG1hEC3x+/JzG1W6HfbOXBt5fU9eLa06pY2L4IrBwXiZLfFJ+wkYzoQ66GztpLLqOpsE8oY73vroXIpSxfAYURYFFwAnzFEyIVYwPwweUQSmEGP+1fHS3HypkIT0no2Njf1FekNDRPUGH8+GmcpiBE/tiojndM6gnO+HD6QO2+fZFouEsecjBKGtlABK+4tMovZHdF45JmKAJWKichzNO7UmY3J8dPsNz/YxpmqATSjm8zGjf7HFoDijTkvIdHeKxYTT49eIagyHnvogKkbH5a7UbmaYIBaxiSkf29R55nPPgH88iofBSGB9u57dXXs4V61hMu95g75vNEaPw4n0TCNDvcWXojdlkGz6HVYhX5Ss81A8SZLaIObn0XO0w4JmmA42L7AJJmOCxfkQ1Voj7GNf5NY4jtdx+MzrZCaUrcV/dI49ymNrg2B9xlV/RAzKR/DFaIhZHS0/UY0Vfg9/C6YmpmMYZNAMNzg5Otkaxiun5qGMJ50o1Tba96ykt0yk63Uk8eRAEEvqVxZzap2GKTboRCZBPj70/3SMKIwmLm9yETbqRBMtjT6lbGZdoLTehp47notIcRnhP12hHFCEj7BfRQoJ4RjOSygMmUC7iBe+jeQB2mV3CBU68I0VcIAxCfDh/kEbJWG6bfSOUxin0xPv2W4dvcdNvKAvyiZtePmYcdeRlwg2/PTM06Sa/kbPPWZ7drqf5dRonXBfXWBdr5ofMkrBtvsXn+8+5xXAOiUle6GHggGqdr+XvbMaGqoUJCMHf81w/Mwsk32CYuEm7zC+xiBbiV4sjbvO7qUOGDOPIQcFzQ0lON1Gj3489wpAqiCIpSLZTTDANHLey9UDZUzAGkpsxOsr6VjGHPxovoIp6JOBBK03W/cwTDwsOFJNw3kIonr3OOflf3dd4P7wX0MCrxSvZTmyzLWvRiRueIi5EzdAODA8Tzf1XeH3nNOQRsUieyep1xMf+KNQD3yUaa2R96dFeRUwU1UP1AARcHfYTtUJpSKIKLKBC3rwfTh++ZBQqokJCL7zUwK/p/FTvVfmKJpY4x67ZUf6hMnnAdCOh+WVcwsLK5Ny7ypVjoInXumVhhmWyJG5nNlp5F3I/9jIpt9ZiP+xFu+vg8FQ/caI0cRUcKyK6mqlB0/Ah+N0X382icT5cAhcI0SUKX/TGy2SJqq+4Ggxzocd4PJx1FleLKxzbI16Xr+myj3Ku+qZBoqa7oRMue5hwgr+Ml6JDXyZLLJMl9t1etONe3uJlAVmc4en8BGjgIrugeUbnMnkLQDZoEiYM+TANPpw+4Ll5BgDRtbWmFcOLP+iNpWcgj3JUA7t3n1LmUZcafCCGAVNAvV/AEzJ8eIhH/llYdMPLpsIXqMNEJKLn2n4cf0wazETms8eWncYTyr7EsafZ0f93O1m0UYt6rJk+qrkxyGNq3iZH6tA6XctUzjcKeZxLENWr8hWe22f0Y49ze8ZpONEEHNLkNJOi+LmNESZM2Nd7NFMjWtQkpITEp6olYYK0o9nJ+w3iMIbR3HSYiavMLMrw7vyO9ISR3GLfGIY6xDJio+FZ8/4aAUhcCFwgxf5FcoEAjCeeJup+n1uaVhfJAteLa2hoWeP7IsAHn+x66rGv82ucB5riAKDvehy7IwY3wIRcPXq502AHrLM1FtECyim8r96jtz2WyRKbZIPa1PjW4Vuox5oGvBnBumt3LKgccFfdiT7cTAaf7z8nMSQuKWuY+Pc1YyOmyFt3KyamznSw1mKZ8brue24pfvH5F2XKrzYsIipbiWGpGanPbYYG3UDZVag4Uc7DHMopGsZ0J8/TJOHkb9ftOKGezYpZnAnmNVIR7po71AN/5lRzMlUNFfF+RzLa0zCVZ7WPy/Y4zmXK3IfABMIaPg9nbhL6ipHt89bi2B8By4AmT2PwZvJQc4qsoQXZOAUTnxWznttvanzQVRqnKCPmPJz6E5qhwSpbiaE90pFMF/fNHt3U4SK9QKQiIQF58oJ1FrnmMKAxzJXw2QOLZCFBNT5DwRdA78/vuYGJSjy1T4IbLOMSBnwujm5ErnK0wxx5nq0RqxiD46DAy6OcczgN1JOHAe85P5R4bp+xzJboJwYaDZZs/cAFWGQLjBjxofqAbboVA3E9EBbgn6WpIt951+2wzeiPUqA8SymGCPlmM9KRPBNDhGKY2zU7xCqmPn6WlCinZDuRqAS9o0wpi0lQAVj8AQyWUeCmLUkSCZByAXXF08RmBaAWfZWtoAKFNqB8ItUpkjiRIDljKWHMokye47GOJan21HFbbS23ZkrTQ3Mezmye3CifpbNOiuokTJCnvHYGR9nkKl3R6DcDII7dEb+w+wVKJKwVZKFPG/USLQkdGmoihGcZ1MP5AR1o8vQejMkRIbvKV9gkGwyGJLXRjZIPcagOTJSdzz+nqPkGgMCSUhIifJE0OUbPq4Cm63PHpNRXy1c492c81U84t2c26jYFJr731lrZGvgtWDPSBxSrWIAKvaVHSyuNj1cf85k/U7iMNYgtf/5VsoK1Fs/dMzfTYYxSUf7qN7aexOelTD4cKtax1BjW8rmz7/eoxxrRQLyxH/bVYy3vpXNO7oOn5gnn4UwCmVMCAlnEC8HieklmHucCG4l1jGSVYFfv0OFfwAm5RxSGKhRD5qk9YcIE5Uhx6AyZ3smQiFFimSxlahmAOKt64BT6k9UnggzzvOlzf4aJDM7BmYEXyVJkMYuYuKuH6kG4m/VQwzmGLSRhgqiJ8O70juYA078kOc682sfzI+Nf55QpX4w+N88ivdCBxq7Z0d09Fyd2tGJiixQf3pWpkKeMKc7CDO9O7zCMND/5QnMwAzABHToopZjyqSIJCdhkGwRBwD87RzRba9H0DbXvAYvpIAlw7I9MqhwbNKYRhrvSiiis+eHi6Qs+uGjf7rlmHlqUSYldt8Ou3eFmccPPbeCh782PWZjh89PnnHopHrKeIQrwUK074irX6RqtYpLZRUpiAAApUoOARZpeapzaE8aJgQ6HliSDQAUseh1JNv6GSnUqE+VIM0ioGRo0tpE0T88r9R1/rGNeW/MDyxN+BjMIaSSy1NWPbsSH8wd5uI/TKIVqoGjcLcOSrO1xRAhuCaqukhXYoT2gmzq0Q4siKrBKKO2II0oCurHDk30Ss+roRsY1z7zfSDN9cmmXqBzT6tIwZcy34oPvtrxFkRTYdTuGLuiUKXx2wq7fyaR0la7gNB9EAAvm99V7vDu/Q6Koi/WkB6UUYsT0M8xklm4kucfr6wMEcr17KpA3QsU6hhoVsiTDzeIGquE/D+PABnB247dji1znwsKNdEROekD/yXV+LQzcZbKEg+ODcy7GRozo2g5ZmGEVr9ANHSenlk3HsTtiGAZ8cvEJPpw/YD/ssU23NJgGQBREuF3e4u58h6qv8P3X3w8EwP35nj6NEDIt9Rz+JE8oy5onhh4hBksqATBrQiceYA0aGrYDFtPVWMnqV6Vcjb47vMMuIU5VOQWTGEn1i3UsNAKfOHxf3dOwqjLRiXu60Kk9MdnSDZKi6tN1tdbMg1AB8oRmSU8e8FIlOK7I04DTUAOD1/lrMWZpxSa4HmqsE0oDd+1ONL9e3+vN1ZfZpRBwrhfX8jP0pqcONA4lNXSRLFAGpaA6y4SJssf2yDX6gj6Ak2VAnOcZb9IX4spzR6yhszSqbxdbkXrtOzbXm3QjJKdu5HP3trzFOlvTeGdqyg9Gkk48c91L3fIoF4P4IlmQiAKH5+4Z62xNjwr4XocB0xDfLEkFC4MQzx2nkX7j6yfLZjJQIQ3J40hZRD+S1x4HZIP7re2xPaKMSpiJZ1wURpTeKYWrktsgay0QsvDx+muPlPQb1H2zRxZTRtFbJvou4gWyJIM2Wgg+NmAR1o0dtdKztKG3PVrV4iqnkXeTbjiBBAvG03Ai7jMkNtLCinY4CzOhhpVxKVAIfz4qpbBWa+aOGPL9veTRy1RixxrArixwBD0kjnIupTgZvsquaD6u79CpTqapi3hBok53wKE7SJ6Al54skgXJJdPIJmveLCQ6wa7ZSZ7DaEccugO52s4KacVv9/0z7NRzQ+nld94U6tGnJjIvxB/Drd8iXqDpGJCjoFCmpXzfz/UzettLrXORcpNy6iij89hAa0kk6/pOPDV+Iiz+kSQl5Sbms3WTb+iLgxNNdWtaZEmGqq04TBuJLCxSepgGMwjBKo849PTPah/mtMmIdK0NySs6YDPejI0U0z6IR2uNIqE01GOfF3qBSTN3IkxY7mql4SaqGjzSd5holq4GDio9OSVwDE2CAwPacioalsk8sIsjQaLqQONmcYMa9Veui79jBTnm+OPRUDT/UD+I09i7uptTg4viQrqwNEpfpr+z7GMbUx6ya3e4zC5RJiU+3X8q1BSPZdJaU14xP9i8MeupfhJaRa5zIMaXkg/zmOjEqq+43pxxQKMdOU2cDWm9oUEij3LG1uoE7dDiuXtGqlMxkA5mwPv+Pd6s3lBn6RgtbZyhtllFJDbMD4BABQxxyZbUX2uSWrzRdJWuYAxNCrtmh7vqjqaXZIX35/dYRkvEERFbSZiI4UA7LaEeXj/sD5iwD4W2kYe5yFs8ocaHXGT5i4b4w/kDnuonTkmCSNJTs5ATcWMMJj0hDEOECEk+mfW0t4tbfDh9gLEMqMhCfv/LdMnAiLGV4Jlje0RvezF7OOckAe2+5epVWYXDcKD7XGkEaYDr4lqmga+KVwwpcVYoGN5k5eOue9Pj3J/RWTYgeZwjXHDdNdoRF9EFp5Su4gESREyqa7lJ8evxZcpwkm7s4BSNb2dzxjiOpCW0zyi7EmmUSlhNM1LT6XX4SUQNuUcQ+s/g3J1RJqUkG6ZhigDERvnEvq7vYCM+QNb5GrflrRA1HvtHtEGLb158E1c5TXan4STTIK/VfKgeuLmagymeR2ox8zjHTXkjjYcLHJqO3/swUi98UVyIRGGcRuRhLmjM0dEMWE+1GPvyJX0Z5/6MJOVh8dA+cLI2X3+xJpFp1+5w6k+MUHYTFnqBozmiCAss0gXsZHEaTvPjxsEaizRJ8WrBLUJlX0JwfGPcTi2+tf8WpQP5FWAhOkq/3XoOn8m+dVwNXxaXyHSGRfaC8MyjXBCPfsJb9fSDVGOFRcgpmqdYeNncAgsM44C93WMYB9Iqxgavlq9o9Es1nptnJkDmF9Saz/xpay0MDJYpEa7N2OCxemRTOps/Ix2RumNanIYTlvGSvOT5edPrXsgQPkEzcHzWXmVX3BAZekn8wW7BIcVVdoV6rCWVeHA0wt5X90z0Azc7nmgEAMYYnHHGrt1xKhwxm2Df7aUwaPpGCB3jRD18HucM3pkoufFnhA64tq4tDYfXxbUc3H5TGIYhUZLBAouQTXif9HjUj7JpSjVRtl5P7XnRx47s6kW8kKRiX6xqRQyfR9KZyUjEfZHQlL50S3z6/CkA5gc0Q8PrShdiCvbNgn/u+WYrCRMOHpSWAB83cVBTjRXCgEErkY5kCj9aNlnekP7J+pOXFMWJeEOffu2nis45lGkp8gKPn/Pn4WJY8PweKInwW9I04zPMTAbrZI1DdxD2OBQbWi958P4DrYi6dJZb5cY0yMNcvu4qWyEOYzE+dyNzArxfTCueYwYsHLXSwsA+9wzgSVQiz59RsVjOFM15WZLJNiZUIcOxBiY6enZ3qEPKKEAM5iYgxeipfsLb41t8z+X3YJtuEQSUgy4SavyroZKB46vyFRGa7RnH4SjbjgAchniO/2AGqEyJ+TGJEjZXKTelUcjrzaci353voDWTLwMXcOgWUYbqgxfbscWpO+GuuhOkYBImsNZiiy0WyQKn9oTa1pgw4bF5xGVBCc5pYHF8HI5YJAtss61M8P1mSvcah/Yg+Noi5jBpmAYc2oN4xQLFusv7K2IVI4qZodFP/HkP3eEF0DH7FVrD9ybUoTQGqSY9CzO96dSeEKuYkjel5HwPggBmNLCBlYFVpEhJ8TJRYymjrMda0LyRjlhwzxhqCw5M255Nd4hQYBXWWkGvTphwaA5fuSz+jhXkox2hQoXR0UTTjq0gq5RWiIIIq3RFc12YSbJnPXAa4VcUAETz6j/wm/KGIP14ISlVz+0zUpdy9Tav6rwp5jK/5KolmTu4mSfu6QTe8d2bnrpaADeLGzg4Yp/mdCwfluEvniIppIDbplscgyNGjOjrHsf2yMnkHDutobHKV3i9eI19vydz3TmZXIUBL/RgDFC7mu7gdAsEgI4Y7ew1e8t4KUZBv85Mo1RMjM81J5h5nIvBMUAgRppxohb8MrvEOlsLxWGcRpkkeM3cOl3LhLcZGqQqxSbfoDUtdg2NJQBo4AlpMIpUhMf6EU/tkwRo5HGOdbZGGBCbt8k21PdBo56Y4Ok74327hw40348gkJSvNExxV91Bg+QCv+XwKXuxo0a8HmvB+mEmkKwzGuV8EFU91qTKTFaSQX0K3zbbvkz2ZjmMT/zzMqaPlx9jmVIatNtTPtFNHZKAD+K7+o4JZ3PKXxmXeB6piY0Uu+73p/f4aP2RrHh9UmCsibHspx5N1eAyp4s/sXSFb7INVukKD9UDnqPn/y91/x6t25aW9aFP733cx/hu85tzrrX2rS4KaBCERFRUBGIgImqhoRlNxaZAwxYORIwXlCQcUAyICNGgJq3hDQLGRBJATzAUSQ4QQdEimqjBU+Kpqr3X2mvNyze/67iP0fv54xn9nWvVLVXVNHUydqtWe88117x83xi9v/19n+f3oHc98iiXhMJjd7zXSucXNMoGxIfNkzmOHYMrQkMJzl1NXvexPSKOY5xFZ1BWoXc9rvZXiKNY0HoX2QUDuY5v4lAyP+BydinPaR6TQnBqT4htTOmOCdlNnugXnli0q3ZIogRhy9c/NKGMnr1EDYCkAwaLAMt4yZhjk+J8fk5/xkC056bc4K67QzM0fDaSgqNIaEG3BTpAHlJD6juuwH0aajVU0FYjMxlH25oFZG2J2tvWW1wdr4R4pKBQRGTfH8cjUY2wiOYRIheh7VvkMc3du3aHs5QNhifHJ6JbX2QLWS9TneKVxSt479172b2KKAWIdAQdkMhSDzVTh7sJQRhmqIcajw+PcZFeAI4TgdjEUsxrza6WHdktnidzMcsHJsDLxct4afESWcTdidK+vpZnwz8TviFRdiV2DZnci4SHa6MMdj033EN7QNu3UIYNhzxgFkRiEgadVLe4Ntd4VDzidEDzUA8wmdE6ctg9LaUfyQbedTvsm71ISI71EYucJKx+JNWpGygTi00sBZfRBmfpGbt4lknKx+4o6bc92KX3OvNNRZLXPJ5Ld81znMOA/oYkTNC1HRbZAvNozi5nsuT7OfSS/OsPY4t0IaFu3mitoUV656ekgx2Ymtp3KFJ23PfNHq/MX0GoQjHIrtM1AhNgjFlsj3bEKl7BpfeGeeus6Pe10QJPCBQ1vN3YyQQ6DSm59AFMCnzvZsmMOFzr0HYtlskSD4uHOHQHtCH30aab0rgjerUUFLblFm3E5E5fkM/imZj+vZHY028ACJ3lrroTNrsnwfRDz3Tn6WtdVVd4lD9ioVzfwiiG7516prveVDeyBnqSh9/fjeIBvB1ZA1jLw3w91giCAA/CBzhLz4jXHQbYgE24UIfksMOhaxh4p5XGy4uXcahJ7AojNpBgKJOaJ3Phch/dEV3Zidyus8Q6RzpCEAeiDggMzenzdC6TABMYFOBE+9X5q9Ba49npGaIgog/Fch9oBk4tqr7Cpb4kHWkiviUmwePuMW5ON+x+TzSouquhQq7582BO+cxEmotDTo09AhWgcfzQHVg4G1K5XEQ5SdVVcigzMIK8ts7KYfw8PZe6z0vNRjuSAz+2eGXxishjNCgN9ijqJKR8zvuh1tmaMmLbCrXPS4N9nec9Xf6+U0pJOJiX43lJTzUwyMyHOfq0XY/X9QmyH8/1CSvI9/UeAQIpLLSiDCQNUp4WAysaUmGTp0sUUSHFkB+ve22VH5+tkhX6sZeuXqhCFGGBJEoYRxumuKvuUHYkGFhYmOC+EPXgeD/K8Au2l27Ehifu0ISSjLhKqGnrxo6moaljlUYpxp4jk37sySYHsKt30l0f3IB5MJckw972uKlu2FnuBqhIITe5YHtiTc5vFNw7p5XmA601k7ViE+OT1p9EXXuQozMkDvhF+Fn5jPSTgHKZ51MaASALSALwBoU0SlGeaDIJbIDH3WPR4fnY59BMCaeTiz6LMoQjC+6H+UNuvlMnOgkTXOY0WN1Vd8JvniUznBl2gd3oEMQ82HgUoi+Y6qGmCWYcsG23WCdrPtjT61vEhXQcvD40j3NkJpOIW99RsM4ScTVFZ4cmRDAE2DZbIi0Vo59vyhvBUrZDiyAKhLCShikusgu8PH8ZjeOhzIeweCPWYAfMEjJSnaW5xuMEHRySmG7x0IS4SC6YRmadmA8DNbHkI+om/QHgprxB0XOaYpSRmOR1tpZxvB9h+tdk1zAsqIgKec+9Qdn/vFVb4abkpuUpRg+zhzj2R5peuw67bocCBaIgQhEX7KzAYdbOcKtvMboRdyUZ7jrUeHp6SsJKei4GGc+u9rgyGUdOZrV1tkY1UIPZ256GRbDL0w0dXl28SnmBTjBLuKGf+hPSLhUdvDdKnboT7to7tF2LFvdINFhu9hfFBRKV4Cyb8gXCXBIdteLEKIkSBJaR4kd1lHh5a1iwjxihDTFl/cgo7WVAHr9L2FkyMCJzOHUnUn8icty9ea4bO0RRRENoQPO53wQuChrv5slcpHJVTx+AN80WYYFZMmOXsI3hLA+CzdDg5fnLPND1lRgWb+tbVAMpNsYZpp4ONc6zc6zz9T3SbWjYNJk0xKlJOXmbvDyzZCaHxov0Ak7zfbxr7uRwv4gW6IJOtNkORNieWgYY3Za3fCane3Hf0Bju0WJZxEPGk8MTpIZyhHqssa23ot+Ngxin4cRE4wk7W3UVi99kwcnARK/wRmmjDFF74Aa/SBbCXvYGzNGODF2aqELeVH5b30JBYZ2umQsxmcp9B9uvvaEOoQONSLFBkCPHq8tXkUc5Tu1JvDU+3dPCChO7t70E8pjQIEIEhAAc8M/v/rmEn3gvSBFQGjoorjNWWcyjuehxfcfUh1kN4yCkHH9w68bufl3UgRiejWLqad3VOLmTYAP92lTEXBfCnug+TyBqbCMhYt3YYZWxSdNZFv9pmOKiuEDV0rPi5RRGGxht8Hj/mM9LOkOkIlQD16lTe0LYkog2jAOKgHK7uq8xgAfLwATY7Xd4enyKQDMh0tcg3s+VRRlW2Yom1baSxphHKSYqoSbaWSGHGGWwjJYwhgjEcOTv/OxA5v5ddcc1zHE9Hhy9A8fhiKGh78LL4sq+xDyco4+oCfdQhkW04P05dmh6puSmQYqz+IypoX6SP5vhIr9A1VXYlBvs6h33QQBBSLmsUVQM3JV3sMriLDnjujFhCMeBvjIfkjiLZ3LYbodWqHP+fh4Ume/N2GDXcHo4j+bYNTvMNFGpAwaRGkKBiMqpqWGVJWPdsDDf1BuSt8IYp/aEzWmDLKGctB97XB+v+fublJP3qYudhwyP60fKhfIolwaLL+69FnywA3/W6QAneMyx57o0WpGF+ppwFpPG5Rud3kR6Gmhk3VQbaRR/PNcnrCA/dSdczliQOeu4kbmRKYFTcXhoDiIxcYraW19sAxxDj5aOaaecxNr7k7wvKJ1zOE/PSRyYQP8+ie/Un4Aj8Jazt2CVrnBX3xGZlK5oIJlGecfhyMVzWhirvkIwBIJry6McZV/i9nTLk1LfEoOmAv7PBLAtRyi++EhimiOavkEbtHCdwxv7NzjOt7wptNKwo0Vj2dVzoL49ixiZ7ZSTLjcArOKV6BV9RPGpPxFjN7aMaDaMPMZEJTHKIFRc/Ku+YjxuGEsSl0c/+Ru2HjlKNYqaRU/xcJbmCD82DHSAHlxofPfp1J1gQ8sFeTKAZVGGhVlI9G/d13LyjMNYKBPzeC7BG1qxYBntCDtY4fzmMVGTnojS9A1Z9BE7ZpVlVHoe5dBaQ1luLBoadU83NhRQDiViHUtAQGu5YJe2FG28L4its0gDJsyui7WM1Y/tEV3fIYkSYj4n81tve7y8eBn75j6EJQkm2URAPfQiIqe+t5xK+EIgiajb9tHIgQ6wH/ewrUURFXgwfyCFp6evRCEXlHZsoXqaWZMgoUbV3B8q/OHEp8pCgZIuHZLQYLngLaIF8WmImAjqGPbhtY9wwCyZ4dX5q3hyeCJfz3e8zlIGrQCQ1+PQHqSj6w8F63yNx7vH7M6ZFKPi9MDLLzwJqBkbxoxPuD2vN1Wa+r/A0LB7bI+CCXSOiZ3bekvz2dRx107jfH4OKD43y3QJMxpJiPTylov0AkVSiISg7mocLZM+Z9EM40hJ0Vl2JvfqLJ7J7xybGPXIQrC1rRygfGiZD8xIdSqEFtUyTlqB7307knM9j0kF8ii6aqhEQ++NotCQePYnxyd48/CmNCgiHUFFCsuUBKJTdwLAYiwKImRxJiNZX4B4Da832/msAgeHpmTHbZ2tGVBjB5mw6JBUm229xamkXlNrja4n+aREiTd2b9DAV1khIXRjh2qo8NbFWzFLZkLrCHSAXbsjHSYI8PbV29ENHYqswKuzV4Vnf+yOUtgsYzZ2fJPEv0ahYWe76aiVTUxCiU7Pjqx1DB+pXIUApAr5bvYsYVCRn9asUsbX9wM1+F5qFeoQHUj4KgwPsIEJsEpW7BQrBtj4jqGCwoPiAXWsYIaAn+o0tsG23MI5vtabcoOb0w2UIYIuizOEYSjUjzzMsWt27HxPZJlDe5BDo3+/pQgHiEgcGkrGRkrnmqFBnrDIOfUnoYGt7Eowv5t2w8+bft48pmmy6ivYzkKFSgqd0Y6SZOrlnpfZJWxGD5iPkR/tiOORRstfcP4LaJKe5Bte9uH3JT8db0dS2QIVQAcatyfmliilMDOze25532DTEgdchGxSnIfnuHE3aPoGZyFTuQNL34tPZp1FM/Ez9I7Tl8IWMnlIQx4WfSc3CRPcVXdsyE0oyC7gfZjFGQYM0sGGps9klswkcG8YB0l4HQbSr/wULIsysvptK7JGjw4NokCaNdppdG4K/+kmH8e0fnvPW57mKOICV6crAEA1VDj15IQDkECydmBI4TyYC6Yy0NxzLCzOh3Ns6y1saxFrru297TGLmQmhHd/bdmixztek0fQDdsOODcSSB6G6r5mG6ixTwQMeigY1EFUJ1lH7jo0T33lvVCOH3MhQ0lJ2Jc3lIBmm6RuMLZ/VcqRn7NBNuvowwbk5J/I2ybkmh6lM0iMToR5rlG2J6/KaEtoh/Ljr4k8ch3wysfmTStM1REFNARnjyOIjdCxQztNzxqHWGxY2mhi9ZmiExOG5t5t6wyI5Zmdp025QxAWuy2s83j4WA9Wp44brDYaDpY7y0JIrqzWLYW/G8A/KaBnJe9ffQVmFt5y9RcwnPlhg220ROMZHA+z8+/hoABKoMagBtmcYT2UrNDFHe0opObldl9dYZ2s8yB7Q2Dkh+rzu1htBspCSE1jIyDMPcxZnGEUXlYVMB4wDpnAqo9jBNFq67V7DPAtJkIlMhDEaOcqakvMA4DgcYQeL0VB3qUGtrFMMarGWp0wva7HW4mA5gjq2dHJ7sotPowM4aZgFNGYe26N0Z2IT44ijLHTN0AAKQrnIwxxByAIsDmk4NKDmsh1brPIVqobj1VlCtFrZcVTf254pfyMXj/V8LbrfPMhxnp3j2ekZHu8fI43IvK36Srpog+PiEKURqrbCrt0Rn2UKZFnG7q1l1yU0JJw8PTxFmIRCdBkU+caHiFKtPMyxrbc0Fk06yWZocOyOSFxCo9TQ4nxGeUagqG1LgxT1yEmJD0DwcqzUpDgNlB0MlrHrXl/cDZ2w/QMdyOIeaS48ntxgtBEJxTyeCymg7mox/wQmgNNO0j6N4Rg2NCGWyVIW9L7vsR/2cIrR5R7x5wNEJJEUDLzZt3sm2HWlyHE8FWPpljK+7m2PR7NHWCQLVF0lBKVQ80CXRimTXac02FW0wiIl6u7R4hFuyhuGPOkIAQJZhFfJCnlMgoKFxbE+Mq0NlAMprWiInKZkURBh02wwjOyKnWVnL5COfOc1DVP59ySg/CyNaMRs+gb1WCMbaWoNNUkDsPedyy7tpPj1pviqqyTcxifQrYc16oGYMGedSBW6oUMapeK1ySM2H4qoECRq2ZcSAjSLZzIdACAds027obZ06uZ5b4NVVjwlccAD/77ZYxFTwrHr2MkbMCBwRAL651yPlKy8Z/MeLJMlSRYjC4llshR0XmCoc26Gho0aR6xkFmVMX4zoL/Bc/HHg5MhPK4wh3xqWJDCvaVVaie+mahi1rpVG6KhHPW6PuCwuKXMCcwHKvsSgKb/Q0NIFzsIMQRCQKjWFwHndbKzvpZi+IRPrGK1qpRnhDbk+3C4JmHYbGf5M22ZLCtjIScgyXuLlxcvU25fXeFY+wzpbYx7NUXe1UGBeW75GGdNE3EqjlGQzNyA1qTSJjt2RY343UI+uHSJENOBNicxRRwNuHuRoXSts+BSMOp8bTq7m0ZxyoslP4vfRdmBIlnWW2NhgDu00bi33z7vqDklIIoxHLT6cPXxh8nnX3EnRnKc8kJx67uvrfI1xGLGpKOnzBBLjOIGKTERpkevxevO67Ev9SO+P1gwhXMQLHliGTg7LHp+4b5jxsWt2IgVSUELHOXZHThn0NEmbJk1+gmtAnPDcUUboPRRVX+FR/AhpmMrBIIsykVF4BnnZE7e5zEiO8inV62yNXbNjOqq+R4xGOkIQcAqba+JMR0edNgCZNrcV77nL2SUPK+kZXpq/xKbLZGr2qcaffP7J2FZbPDk+wa7ZyQH4tr7FAQd22iePnXWWcIqY5vC6r/H+/fuhnJLC2TmHZbwUqfNJnfAwf8iQySmsz79ux+6Iu4aUpIezh7LfvHl4E7N4hleXrzKtdqohrbO4qW8kx0WDWS/H7ggDg0tNT1g3MEfm6nglE/9u6KRJ5g+zH8/1CSvIZ9EMVluJlvcdj0NzEBSPNx3mEUcPy2RJXeM4IIgCdA07pF7HDHBz8q5tr7FsjkQB+Zj6bbMVo0AWZHhl8QoCxTfLx807R7fwCDrRYxNj02wkjW4WEdmYRaSiPD0+5Sg2WQhX9roikjHUIVSmoKySxd8pBzUqRIhQzAps6y0a14g0YRhY4BVxwbjvZsuI+qFmd2R6EPyp2eudbutbjtUVDbCx4QJ/nrLr1w9MK8tD6q/fsnoLAG4YN9WNpHr506RnrM+jOYIkoGatryR8JtMZbu0tMpMJicSA42tlFKy2iFUsceLd0GHf7pliF8aCIvKaU3/DeypHMzY4dTTB1QP5oV63742mfrH0hoymI1VgHs+pqY4ZjJGECdxIVqsfMwKkXBzGA3Xn2Tnuyjs4OBzqAwYMUlj40V8zNDj2R1QNw0qso3nQp5o1DQ3Fy4iu+LOE71PZlchMhj5gwXmWnmEYGHZw7I5SXFtnZSFUimzuXbMjsnAK5zHKoGxLkhqS5b0xC1awdnBA73rppkUmwjyaU3966FCOpXydIi7EVHpqOWlITCLdeV9U1QP1qVVb4dAcsE7XNA1P94TRBqf+hHiMpbONkGl91VgBFpilM6EFbKqNHAz6kQe3U3sSzbbSCn3fyzjW03E25QaNI2bTU0FO/QnZmGFmyDs3ml035xyuy2sAQBEVlKL1NJ9prXm4MQleW70m68TD2UOc5+d4vH2M9+7eK5Kpy+KSSFUAV4crajeNQegYNPXK4hWayftWNqdDe8D18RrrdI2H84d4kD8QlnLd1LjIL8TVf11eox1bLDJKbA7dgcbJ6TU61kekEclIZ8kZ9aEDJ0g+POuuuWMB3zPJLjRTgFJEo2kWZWhsg3W6xrbZSqddaRYTs5DGK58cmofMZNjUG4YxpfSpKKWExXtX3QnKcx7TKHpsj4I81FpLuI74VAZK+d7XvA9lXXLdnPjngQkwgDKLLMzQDZ0ElygoFEGBNCDtw69n63wtuQODHXBb3iLSEXbdTiSIkYnQjz1uy1vi+qYO+2iJ1uxsh7P0TBJeU5OiCAuiW4dB1l/fdfXkllM9TVOmtcznMSilpEAsuxKd67BO1sJrflQ8YviUHe410dMaYJQRmpK/B2JDM95tdYtjcxQcahLyMJjGKcIw5IR2Qg76TI0ehAGcJWfSwFikC7xmX8Ou35F6ZuhV8p3Vu+aORefIydJg6QWq25pyTceG0ryYS8Mh1KTV9AOno0VQwFpLZvm05lrLiV45lHAN7/16ZODcqT0RtRpQw+79DlprVIdK+OAGBmEY4vZ0i7uaEqKyLfFg/oBmbcP7tB1bNp6UElPpqT1hcNTmJ0gkC2Q/7JHaVPjpq5STi025EUJRb2nm9XtvEiYSBhMGIW6qG8EJV2OFXbODcqTV9K6Xaeh5do6u77CMlrCaBlKrrQQheh+ED3Pb1TscWpq5R4wy3TDaYFtv2XDROTKVoXY1pZOaEpmuo8ylHyjlbccWYz9CBzzoqoAZHYEJUFUV0IFEnLpGpCKcR+doNJuSp/aEq90VduUOLxUvIc1TqIFEo2AM4HoHDKDpEsAqXNHH0Fum7rpJaqWBxCVMhzUKdweiNjOVAYZSxsxRkx4jRhzHGPoBetA4Dkd0LXNkuraT+2Gu5/QutPSd5GGOVbCCHpmbYQcL4wz0qNG1HZRVKEyBMAoRz2Os4zXqnvjhUIdo25byq6gglrSu0bmO9cfIKfKu3kkSeaQjlMP/DSkr62wNk0yO+Kkg8IXEOI7IYxorfQCIH2Wvs7W8QN3IruexP0okbR7mYvK5Kq9wdbzCpqJZ7q654+Y5YZCikLqmZ4dnmMUz0WhbZ7FKqMFTSmGseVAIA2oMT/0JN9UNLvILSX+7Lq9ldJJHxPL1lgt/ERcoG0araqVhAiMRrIlhpHsURrg53ODUnFA1xPElhubV0Y0S232en4sb3zqyOPfNXjqZ3kVsexbTZV8Kb3Q6s2CmZ/DBA91ANuyu2qGxRMItkyUpCSNvvKqjfnIWzcR05KUNCgqZYdKW53lmUUaereuFuxoFRPc5xQIfGjhPzyldmBbhJEhwU94g1SmW+ZIJjF2FWTzjSLKvafhRYJz0VPRgQq+VQ4lZRI3X7rjDcX/EOl8jMpyG1F2NPuqF+lKFFbI4I+nGEvNoGyvmrRGjjP4PzYFO/ynp0SiDaXrHAnoYcbAHSQBreo7tx2HEEBMLl0e5sKH3zZ5yg2SOq/KKMcGKRtOz9EwmC1BAHufS5RvdSM11EAs7NjXk+R7bI67LazHrKUeJg3CvRx7GCl3g0ewRDs0BV+UV6SI9Oe6DpRbwLDsjIz1jUmk9ENXmD59e25inuXgAsojc36Zr0Jte6Ad5mCOIyWqvxgq2sbg6XpGdPB0ofPcjcZyy7NqdUB3guIEPbsDYjbitbnFb3xI9NdbIFQMgfBqbAUM3UpNKSEXZMakRimP49+3ex3F3OMenrD6FX3sy9a5zcqgjHeGV5SvYtTusshWW0RLnBQ20+2aPQ3tA5zokLhFy01lGXbzH3nntrJ0xRW6drwXVmkUZbEeMWhEVaDsayAxobH119Sref/d+XJ+u0dgGZV3iNJyEeBIFvK+hmC68TJZwYJDHbXkrh6i+JyWpH3uhbmRBBmOMhJ0prXCqTzIFHComAAI0LudRTh/IlCJowQJGKy2R974jn8UZYBly48lYXmPe9i229ZYmzP7Igi0sAEsedNmVGM2IxjaC5zRgzHsc8DC2Spi8FyhqW72eexYz+Mhr0efJHHBgNLsKMS9IENlUG8puYsoTDi0RjEbxddeKGNVDdxCiz7E94iw9YwJtWiMNUskeMMogm2ei+zfGMKxk4LStGirMghl0onFqTjI2h6L8z3RGZJizeCZ7nTdUDnbAKl1JIqiPRN83jBbPwkzSka1lly8wlBD6qalvxJzlZ5QWWIXOdThPz/Egf4BdQzOsx602A7GPWcjf69AdZFoQmQhxxIndWXqGZmhwntGE5wPNDs0Bd+Mdtec6hNMOrmczZFft2EHu9oLqjDQPL0VUyOHpjf0bmCUMXNNKo6yJFPVou2ZoYKwR9F8z0lBftiX2lsbeNEyhR0pVTs1JmjF3zR3JU/FS0rLDIMSxPdIn0ROJ6k2A1lq0fYtVtsIKK1l/n/dAlF2JoR7QuQ5t0CKNUiQ6QRZkuC6vcepPuMwvUSSFTBs8cGAeziWUrmor9I4G4EN7YAd3VFKA+2femyqLqEDd1Lh9fIu92osRfeZmSMZEpKbOOTjN72mNhSv4caMNJ1Ilmz8vu5eBFnCtwyeZTxKqnQscRj3CRU5kc9EYob1t8SbeFImVgsISS4mWd3BYgesncD/58Xun6xz8P6pmQN0SS7jAYZgP8r00NFxAPOalvoRNKM3Vo4YalTRTLs0lrLaChUUNmIYHQeUUXnIvQbUKXUvAR6pSpC7FzM3wKHyEMRgxJqOYRTU0FQslv36CBLWrEccxPTcTGKLqK06Vuv8bcsi1nlLoJn3jeXqOxjJoxo8oIhNxlOWcGCh8KlJvmfoEB8xCjgm94/qmvGEXc9KKpxHNC83QIFc5OtAstUyXYuS4Od4AM94sZ+kZnc/TGMOf+pMk4SnQTIz0ocFtecv42Yns4UNBIhPhbau3YRkv8fT4lGM8E4nZ0BeYp+6EYz1pWxtGYMcBkzGttVIkOEWm70V+IYaCXbPDG5s3sG22yJMcbd+y+zbhn7qxox4xuHeie4KFp8f4DfJZ+QzzmAlkURBJTO6u3mFX76j5zy8xWEae+0XLI5Q0NKqRYScBAhzb432S54Ty8wagPMhhFfFECgwpyELKYEIVspurOX6NgogGvKHFm/s3OSrFQBnKZPBIoxRnyRnWOSUm22ZLSkCUSNJaa1vMkzmNUUMPF1AOhJ4bxjiO1OTZll6DkAZPr1P2hIdZPOOGGy8oiYGW7ozvbmVxhlCF7Ho76qOTIKHbe2Izn7ZEJNYdN+1ABdh1OyK6FCR8wHPksyRD1zO6OlbcVGJFkkwURNS+gzz8TbmBNpzqjAN1hItkIXrt2PAg4Ck1PqFMa3ZiBsfXt7IVo77DDPtqj227FQxfqMIXwiqUUtjVHEnCstDI4gyxjkWvHw40QRtn8N6796IaGNKirMK23eIiu+DkJaSm3ut5vdHROIPHh8e4q+7EvIwWqMIKVlHfnpgEm2qDR+aRUAZ8d9nLQjQ0XnOv8dDlw8La6fmY/vG6xXqoRdt9np2TltIeUQ+1pDxeJBcS9OVpFHBgMFYyx4gRD4OHwm0f7Xh/wFEa+3ovvN8RI81b2iA1Kc5yHs6enJ6gcQ2ygIYzn2q7b/didvbyq1k8w8PiIXb1Tj5PKSVdnzziAWYYiSyMdIRdtZNIeqXZRReTk+eAmwh24Ii2bEu5751z8vx6bacvrqyddNc9JWo+SddLLbyMzafM3la32Dd7LJOlTNZ21U6Kl1k4k3yAQNPwvUpXgiv0ZsVVsiLCEzzgLhMWXp4osYyWnDQMlTCh+5EmOj9tdI6T0KZvhG6iDMPWAIiBsu5rnKVnyOOckxgLIOTho+5rTjMmA3doQhhDgod1lvjLiepwnp+LydtaFjf9SBnnsT3SlKiI0euHHi7jFG9f75mUO2EETx259ZGJJK3y0B1o5DOpJNL6KalSbLZ4dOmu3jHSPMxEWqmgKLOacHWxiWEDTh2X6RL7ei/0mqqr2E0fB6aTTjznzrLoDUyA68M1lvkSq3gluDvvyfEpmD5DwU8JMYWVHdsj8yqmJoJS1KNfl9d4kD5AERfYNTvh91vHe0BBoe8m2MM4cFrb7UnTcha7lof52jIg5jw7l/VikS7I25+Su7OIiGKftrytttg2W8psBk4ybk+3PPQU51ilKzzeP6bhWUcIigCn5iTPr4ERI2+eUMKZmhRdwM429DTtVPdUJQcnfhpV0gj88qOXGaQ0YTfbsRUmumAWJ8CAL3T9XuNNus45wZI+/3FfXBtlZCrtm5h+wuRJNv5Q4BwNrL6W8muR33e8BNhf/s+MZqNudCObrdPH/bPhv65XIPii2X9fLwHzYYH+AODhBP4KdCDqCgcnDHlfm/jgIucczc8qQNd2sDcWqlU44IBjQ+nRvt3TUzbcZ6x8rNcnrCDvhg6LfAHlGAJRjzWUVngpfwkDBmLQQrK8FdjpG+2I/bCXIvq2vIXR7HgnQcJi105hQNMbksc5hn7A0/EpE+QaItx2zY7ov5h66mpgB3E9X2OVreQm60aSABbJAs45SQM7L86xrbbQ0MKhXWUkrRhlxCDjjVytbRGqkAEYQ4+f/Ts/iydXTxAUAT71V36qmGw8tsczujFAuJd+ROYlKl/1jq/CzfUNirMCf+q//lPC2R4xvpBAeBafEQUXsGg4tAdxB9cdN4w0SGWj6cZOkI+h4c9c9XSIe+RZFmcSS/t8AIuDQxiFOJSMJvYYq37sBb0VRzGMMy9MJMLgnvIyDqNQNnx0+JP9EzFRnOVngrPzhp8ZZlhGS+RBjuvqGtpxEnGRX8DBoUCBNGKi1u1wSybupJu9a+/QjZ2kD1pnRYNvYSmhsD1DcqaNapbM7rn5hgzyMAjv5Qea5rV4FouJxGM2/b3Z9jSKnufnpD8ECTtaxjBlNaJGsGxLJDqBCQwiFWGZUaK1zmggfXJ8giIq8NL8JRaf00J8Gk8M0pjYsIEOELpQJlGhDiX4xzkeFEY7YtswufPYUre4TJYoFgWikiastV0LyzUKIjyaPyJ3tzkJoqrrO8zjueDwipidyKqviB7sqE31BjM4YFNvaB5TDALb1Oye+xFx5SpEYQRjDBGZk7PejpxQ+IXTR5Q/b/rymFMFRQZ1XCCPSO+xlpSdZbwUI/KxOUIbjWW0xBZbnNoTfu765zBixOa0oa52Mo4ehoMEdG2bLYZxYHQ8GJSktRZOsT8YlB3HmhqTFjVZ0Eg0KkmdtLAy6t63eyCjCekivwBAQ6pzDoEhYarq2Bkf3SjPlc8fiEyEdbKG0iysDs2BBkQ47CoaU1fpCvt2L8myHTqOb6cu7TJZimHbB6CNbhSsoj9whCYU2tSoRznEHdsj8pAmulXKQ8W23uK2vUXTkxKhoARB6g9Mz6e7ftL6kwgDsJ3g6ObJHJEh2i2JKLWohxr90DOVdzI/e3RgrGPBuR6bI+bxHLOIEfLbdotZOKPnZkrSzaIM+26Pbb0Vza1P4swCJmKGhkxxTw6pj0RttkMra75PofYksSIpiH6dCrvE0JdzV98BgCQQe6mKChmYoxSf/bBll9hTeuZ6jn7o5ZDTu16oLBYWQRCILyM2MclAzkoatFYaRUgZSRFQpjPaUaYc1llpKAGQNcxPRq/aK1wFVwwiavaIVUx5lG6EltOOraAhq54H6apn5H3ZlchdRrYAAP7wSURBVChCSpGiKMJFcSEmwEAHMgnYt3uuya5HERSCvItNLKSp2MSMMa9JTXGhE8mRhwukhuFj5VhK0qYxBkM7wIY8JPqvu0pXAhNIA66pacT90mNUlaNso4goXRzGgTJVo7HKV2gts0rW2Rqn7oSqr3CenAMa0vX33oNlygNiGqTiI8kMD9edYz7BIl1Qltn3GNoBL730EpIskaZb4AJElimvalTy3PqmAwCBQfj0bF+Q+7XUF+wKNG8HmodCKAi4wRu9fYccACWrYNc6sIE0If395tdC73fzhb4v1P3vYMG/p6CE/OMpKLGKXyjE/e9gHWUpnl6mnJKCPEQon+NrNfm6luFavunrmzXaapFTRob4yTN3huGK0xC/1rYDQ5fG9v6A8bFen7CC/Lq8Rmva+7hl28ONjmmPCMS0ZDQF+oHiL71v9jQ2DBVNg7DcrA0fMjgWsILJUwFsYLFKV9LRHhwxhZEiQ/jYHtHZDq/MXxHNI8AFEQDyIKcDfuokxiGTu7KQSWjGGBkLzhPyZt3oZDFRWpHDqXhC/dmf/ln8gd/1B+S1+Lo//3V462e+Fcf+COV4gj123LwWyQL/3q/89+Rzf+w9P4Z6qPFlX/xl+Gf/xz8DAOxudviGd34Dvvtvfjf2zZ5GwpAYvJvTjWyCu2aHu/qO8het2NWfwpPqEyH4trZiThndyBTB6et5UsCuYcfcv1b+1Fkk7Nx7hqinRXRjd/+/gQePwAQydmvHFm3Xoh5rOUyVLQsWP0J2il9/ETMo4s3jmwhUgFW+wqk9AZZduxEjYhOjyLkoJpodu1lMc+qxodwjDVOUXYltvaUzfpLi+L/jcWi+QPYc5TAIxR2fBAxGiDTlQM8XXPNoLnKLSnHDmUdzrNIVdhU1hZ6tm4YpjV6GqMVUpRIzba1FErHzqLVGP/RoOqYF1mONsikxjIMU3CO4gXrT6DJeCmce4CI5jPcb/b7Zc1xvjCwsfirgKT0AOxVFXIi2vOxK3JQ3goByzomOtx2mABVHv8QIaoWXyRLKKWzrLUYzInKUMWlNSoXX/vuwHB9I1QwNttWWh1odCiHA68PrsZYD3+AG0QY/OTzhZGZ0klSnFTvr3qTW9MS0FXGBeTpHGqRimoUFOtVR6jT2Lxi3raW+PdFk1JZDSSPp0GM7bpFHOdbpGouU/Ot5MpdF2yeZ5nEu4Uu+W+lpMz70qnc9aUIg2aSIC8EpGm3I3A4LMUmf+pMUdlqT6lAOpaQGGmfkHlnna4QqZPe9b9C7Hut8LWhPz8T3hVLd15S6BGR2+/W2iAoh9ZQDpXllS034ZX5JLe1AP4uflNmRYSE+Qn4RL3BVXgkbOEAgzRgNLdQsjyv0WMNNtaFJMJ6zGVMf8fj4GACQmQypoTSx7Eoc2gMPkTrCOI4oe5qCi7C4Tyt2BseeQU5932NX77DMaRr1NJDe9ej7XrqUiUlw7I8wA7uGHl2XhAkDjqYDPnBv/jrLzhia1F1BaWri76I7CQUCIM2SfuxhI4bDeUliH/Tig9q3pDWVHT0hRjFBcbAD6q7G4+ExTdc6whP3BLN49gJZBYDo1n1TwiU03A4YMBtnfK6cpRHYOVjF4qvsS+wbBpMd2gPQkcajtUaPHlVT4WHwEFHMwrA8cL/Mw1wQiGVXkhSS03jrlCN9Z6I21QOpWz5BdJbM0Pc9uqbDtmdXepEscJ6ey+uxb/e4Ol2hCAseCvppDZkC+s6yM2RxJk2ny+SSE5r6lhMfkyEL2QW3sDCWP3PVV9LB9WGAh5oNrjxk8JT3Ejh3b1KthxrLeInOdiKPC3SANEtFI+8n35GLiOSrdpinTBZv+oZfq2di9TiOsON0aFBOpv5SEAPiQfJFNhSkOLXg++c1/c45kX8qKAku6l0vHWWvZVdKvdDp9tfzMhT53pO6wU98HJw0GnwyqddiKyh5va2z8jMqpUS26PgDipwk0pHUafK9AcF4egCHD3sE7vG+/pDhpwFS+E+/h39d/OV/fqUUopgSqwQJwiSE1RNVru9x2/7fkEM+2pFdH9zHJscmxvXpWjoQw0As3jpb49AdXjB7PTk8EXfwAJ60WtuKcczrnnyXpemJaPJBEGVbIogDrPQKYRCS9z3JXgCIec9aKxrmZ6dnRNhNC/PgeCMkAV25VlkxmFVdJRptTwEIdYgf+9Efw4+/68dfeC3uNnf49OjTkQUZdtUOh+Yg8dvPF+MA8AWf/AV41z99F25vX3zT727uZEx8W9+KCbS1rXR7X168LJ//rve8i/IJM51+tcPju8eIwggPFw+5GQehMLDX2RqXxSVe378uKMphpPF0Fs+4SNp7Q1ahC1m0vIZVKYV1sZbXthkadpOGmu8lYuzsDrOIzNO7mlHuXkPpT+OJZpy177oNduC4Mn/AZNPpoSyiAqPifaYUT7dJyMK2CAsZ2wUBySR+NJaGKdq+leCqUIUY1XjfKbAOJmAB2w1cYOFAs1ZSCG7w0HKctWt2fNEXPIVv2y1Gxc6iRwKOGGWRdpbSntKWwpH2m0TlKhx7UmeWdinYSA0tEq7RjUijVBZVf2DyRIxjd8Sm3ojD3KOz/FgzizNUDXnNWZhRnjQ2qNsa85ToycFR3nNqJ0TeFOrjF2nvpI9MhDRKBXmotZYDyKk7UQKVnSM2NHFtqs0LAT2RiSRsKzEJoGkIPw0nJH2CRbRA6Ogz6Rw5sDHIrh3AA1bvekE61kMtY3xvhLowFzhLzmREP7gB+3ovkd3X5TX1nRllPmVbkpKRs9N1qA9IDSlKTdfQ1KMg9CYHh229FdlQFmY4z87l2UrDVBjTsWFKaR/0TPt0E8N6YAiMJyX59MlZPMOAAZsjSVJpRIpFO7S4Kq+QBzlW8QqpoXFqX+9hwGQ/P4VaRDSQti2lYTDc2GLNLmqRFMKHdqETw3ccxNhWWxKpptGuNEIMEyf3HRsozdAg1kxeDXWIY38k3ziaieY4CRLYkIE/zjmENsShO9AYHZ+JbMBo6oaNphenGzoJqgEY2hZqso79eD4NU2zKDTYVpy6y2ft/JkQmQI9BHMSoXIXb+hZogEf5I8oNFFMzzzImFmZBxuyFjsm4ZynxeE7xfr/ILzCOIzrHZoTvOJ7akwRWLZIFtNI4tDTwXuQXTLgMQ6zVWorluquFwNKN/FpvXb4Vd9Ud/vndP8eu2gkvvne9EHYsLB4Vj1DEBTbVBu/dvRcvzV6S6VU/9lK4PT0+xaE5oLOd0HOqrpJG0TKlVCQNUrK4YaVj7ac+RTyRxSISdZqxge4ZWnXEkcmlYY4wZYd/ERPxWoQFjt1RflcA0vn0fiVP+rgsLiVFexy5v3sW9yLh5F1kFNqg6ZjW7UYnPP+qrYS0FUecaKvmXh5T9ZV0uk/9SRp1/UhsXz/02FQbPDk+QaACuMhxP5hwvqeOKc4egxwEjLxXUDhPGRq2SBcyqfANqtCEEhwo0t1por2v95SkpArVqULnOqRIYcC198V63Mk64YtanzkBCwFqAMDNzQ0+5a2f8kJN8d7H78VqvWKxPv0D3Be9viPtv7b/mK/vetvLv/u91l9+7YHDCxIxj130Ux7ftQcgxT3Azv7z8hZfOHtps8c+epSj//5eeuN9YNZZKcr9lNh/Py+VGt14L+30hxP/OjogDEP0Q0+/VVsiqzJ8vNcnrCCfJ3PYkFD5UIVkXtd37JyAo4TScsR/U91gMS5k4bw53ki31ifT+QROO/IU5U/+Xmt6bI9ouoYncO1w6Mkuf4AHiBDhMr/EsTvi5nQDgBrYYRiwaTY4dScs0gW7rJORsrMdNs1GFhettWiJRjsKT/syv5RQob/9438bf+B3/4EPei3O1meoxgqx5im5GRv8uXf8uQ/72lVDhcV6ge31Vj62vqQBy3Pd67FmkI0mru1TLl982L7wk78Qf/Of/k1gBL7s874Mx/0R6TzFN/7AN2LoB4xqZOSsZbd3na+RmATLZMliYur6NX3DjRRWUIijG+XQUrUV6o5je79Qa81QEa/3zoMcZ4szkbZAQUZio6X8xnNc4Xjwen7ENfQDRpAwkuhE4n49necyv5S4dqdYgHhEm9c/L2Lqdp/sn2DTEK0ZOo6R5wk5z7fVLQ8c02t6bI5oxga3JxIbLmeX7ABax2j2ycAFB8yyGbrxPgo9NSk17Ap48/QmXzsvPVNkQJ/qk0wWYhNLcqLXinYDTWXWsatYqEI2GD/m9Zpa32k+dSd2PsZe2OAeX7evOF1ZDKQ2hJphCOM4SjhGO7bIggxn6T1FwUutIsPExt72uCvvRM7kN4ooiFCoggfr4d6w6nWeaUBG9O14S4NkeiZ68Xk6R9u1sNriQfoAd/XdPZHJMa21PbbS/b2qr/Awfyg4u2EcsIpXnKDoGEEQSGf6Yf5QAoR2zQ63x1tsqo2MMkc74q69Yyx9NOfGPsmpfFxyPdQ8nPhwnHAmEok8yrFttthUG6Qh5QqDG0SWFpoQve5lfBwa6ryHcRATdBJOBu9pc9MgqlBDY1ftpPDaVlt+vaGHHS1OOElXMUAghaQ2/N2qjkYkv+GXbYkxHGVz8iPmPM8ZHz5pLn2Tox5YnPmu3a7ZQWvN1EjDKeeuJsEjNSnm6ZyHfRvSA4ApQl3RYOopK3EQM3PCkulvYWGVFZOhp/GMI0kiGCCG/VW2kjRQr/H293oWZmJShWUeRj3UgMV9QrDSUtjkcY7CsFCMTCQmw1lCg/u23jKtNYqQIKFJfaTXJDLs3rW6xdAPCFQglBdfKF4Wl5ws9NNEMArw7PiMB8B0fp+5odjBbPpGvDt+Kma0QdmXUtjNE77GZVNicPy++26PLMzwaPaIBWZ3QtkyMyJQASeCHZ9X77PxGtzQEGNXDzWqQ4VlspR9JNGT4bKngVkrNjFGy6nYw9lDNEODLMzw2vw13DV3qPoKeZjj2B+xSpnqvK23lNKNbKAYxUmORxw3I2k+3ciDgga7o7uBSMFjc0SoQsQ6xr6hnj2PcwEFKKcYJKQj7DtKh8aeIVbOOR5Up+lCELBA3Dd7rFIGxqUuFQmfX3M724luOg1ShEGIx7vHeP/+/bjIL6Qu8O+lT5cOFGVxS7vEIl7g1fmr0jBRivd1N1AKkQQJpwNTs9EY4ksTnaCxnChaYzHHfNo6Xuxaj3aU9/F5rTb0fcfX77MfeHmTs5evWGvZmJrqGSnGp+sFyQognXnfjba4L7B9hx2TX8o6Kz4sX6j7y/+cz/9+HjAA4L6DDisHOAUlE1/xZUw/3/PrGgDxGPmrH3v53bzczShDfOz0/5i47XmUYztOAYKanqfnn4+P9fqEFeRGGxQJR63blp2qpidaKY9yuICGGv8meVmJgZE3+NCSY7kMl6haul3PkjNclVeCTPIPZ5EUGA4DbttbLBOaSaCAQ0ves08vHC1H86t0xRE81ni8f8x0usng0g3UlY/jiHk0hzYaRVAwAEgHhP33HU1vk8EyizJsN9sXXoPP/9LPx6/5wl+DX/TLfxEDEIxG5CJ8x2/8jo/42gUmwDf/1W/GN73zm3B3e4fFcoH3/OP34HPf9rnyOd/xt74Dr778Ks6SM9n4PvBKdIJ3ft47cfuM3fa2bvHHvvSP4Yt/xxfj9tktzh6e4R1f9g4EATVi+56jyUW8gA2sGGosrLBx5WDkLLuvU7fILzjOOWEbH9URTw5PYHBPMXgweyDa/Vk0w77dk8c+ISmVJufTE0Sss4iiSE7P3djBjpQo+VPxIl6IAaQdWlSqErOsR/dprdENHayiya3uSWZI05Sa2v4+xGK0I+5Od0JvyOMcdrR4z+Y9vA+mBC9vAjn1JwlqqrqKmmnwYFV2JbbVVhYp36XzC0emJuTbVJBrpUlbGUd2eI2CdqSSDG64x3b2TnB4i3ghGvk0mDYW0F8Qh+yC+u/r9b9FXAgOcJWtsHIr0dudZWc0BU/UlyIucGgOyMMcs3jG0fVUbA/jgKflU9F6Vn0lKXOFKQQxWvU0BFtncZldwpgpDdUEWIQLHLsjtuOWlAa7QzzGCEzA6YedFlujOKWICiyihcgdIsOOp2f1P5+ud5adEQc68X2fHp5i1+yYhtfSYJZFmeCtnKXc4tAfiPcEcJ6cC6rM83fnyZyFse2RqhTrdI3r0zWeHZ+hH3sUcUF8osML2EJ/3xYRZUDnOCdlRFnclXfY13s5kPnphr8vmqER02Zve/F+3DWkXby0eAkh6Le5qW6YFBwDtydSa7q+o4zD9jjLzni4bQ/MYwAnFAo01HtDdaA4KfAaz3W/JvGop9/Dd3ertkKlKjw0D2EMO9tKKdxWt+THx+xaV12FVxavIAoYl54YFuu39S2KsJBwo1PPQ50/mFvHMfhtRQ39LCFxZdfssKk2ODZHaomV4+86dlgXa1hncX26ptZVBaTERJkcZIuowEV+gdvTLWbhDPNkLvKxu5IBL8tsKemhGjSipybFWcYDZV9Ry33sjpKEGplIfBAmNDh0B3Lgg1QkS+PISZeCwrE5smuaED26SBdEo1rupZfpJZADnetwqk80X4b02/jgsyzKxC+xr/e4qW44LQp5SOgszYLW0CPU9i1a25LLP3uE69O1TDotrKBsgyDAKmMnte5qDHaQ5Oy6o5woMhHiMMbMzbiXai2ytFBzXd3UDBnLgoyEpmkCm+gEseIBrR1b7mlTgmce54Q49A3yLIcONDb7Dcq2FOxtHtDEXAQFVEwd/l11R4oauHbs6h0ui0s8yh9hU21wqA6Iwkj0+b44a4cW59m5NHL82uILtyIusDvs8ObhTZqNJxDDMlkyhn06bNZdjcWMXo0oiCQF0x+MX12+yunytCaeahbpbz97O+Vgk2xrmSxxLI/SBfdFpu8YizzF3RsXRa4xJbMqKAlqe/6SppemudgpJ11jjzL1r5/fs0Qeg/uOtqfs+GaCyF3858NJneQ72lCANlom5M45mXoBEDSwdpNx0zi5NwMd3P+e7j4QyE+CAMg+7uDk//2EVyuNZbrE9/3X34d3vOMdMjX1HgIAGNUoe/ZZfIZHcx50rbNoVfsR67ePdH3CCnIHmiz29R6H7oB5OJdY4ygg/i0wgQQNeDzieX4OMxCmX3YldtUOi3SBMAhlEc2iDGmUYn/Y483DmwB4iiriQgoxHWgJpNjWW3JiGxq/3r56u5j4FukCD2cP8cb2DTR9AxMYGZ0XYYFFztTCY3PEWX7GEI2hws3phvpfk2CV0uy5OFu88Bp81ud/Fl77jNek+1sNFUJ85JSnH/xHP8hROjT+/A/+eWRRhqvrK3zpr/jSFz7P6/Q8G/ZDXV/wyV/wQR87bA74vj/9ffLfWZDhK7/2K5l6NZLB7skTPnnSI7y82dSbO+u+RhqmEgZxW91COSV81abn6DCNUinCQxOKbv3YMAQmSAKM44ib/kYOWkazm1ENTBb1jvhtvRWyQhqlokUr+1Luj6qrsE7XHCNOSY9dRV2yD4Kyo6W0ZCqq58lcQnpu21ukSYqFXkA7jSjkGPtmc4O74Q6LlO+zf8D9Bj46auWqpsIJJ0Qmwr7Zk6NsciiQNz70A5MGi1exCBccnU+Fy1lyJguPl5S0YwvbWzw9PsUsmuEyv5T3xW8mPr3RewkiE6Hve1nwds0OxjAW2iec+gQyXyC0tkVhCvK+AybD3dV3YnzzHOB2aLFIFxKYdGiI6zp0B3JtJxmKgUGWMWXWk3jygCEOMhmw1Pt7c29gWACmIce0bxzeQBEXSEyCdbGWTdwbbz1yLwsz7Ft2CT0KshvpZygH6mD31R439Q0cSK/w0zevbVymSz7XzmIYBpreMMp41JNZvBzneSKUcK7HTmRARVRI56oeasGDelqJg5MCcN/uEaiAoSTQOPbk4PaWGminJlKOuR8Ze0zroT0gVjEC0GNQdiUnI+kMrnFyoK4s9bHaacEPKk0TrH8mnSNK1Wt7Pb7VB5pkUUZGds/wGL8hhgFH/8eWhXEe5IhUhCt7hV21k9fiorjgfTh1BgMTiOQkCiM0XUOd+xBgjKcJxWQWc5aFwHV5zaCY4iGxrkNHadcUjJTHOcquxJPdE2rKw4iTzpRJlj50RpJ6uwazhLK854uG0ISYJTNcZpeoB8qITv2JHW9dShqoVZxgnfoTyStDzSjyIEMbcE2ahTM8a58JQtQXplEQCf2ks0yv9ix2Y4wQdnTAbp1zDptyg1N/wiJayPjeFzVlT6+DXxeuy2uhl/jEbA0tutphHLApN1hna3o2FDXzUBB5xipcYRxGCajy63o7tLLW+KldGtKk6Ow9+cKnGm+rLZMmHek0gWF3vuxKZEGGPuGhNdIRxprymbItcX26RjVUWDqGzLw8fxnv274PsY553wdkVGujUUSFyGPPMiIgNbTghI8dJYZKKyRjIqnaXl6ZmhSbeiOyinEcZZ05tkcEQYC3rd7GrJOuZrjhtKf1I3X/geZ+kkWZpE03QyM0kzRIMYv5Nf3kYHCD0LS8F210I/b1ngdr9cHdceBeuuu0Ex02AJFxABCSzAdevoAW3fSUrCrF9PMSDqVFLirP43NFru94Gz2FkbFFDwWFd//Mu/Eb/o3fgH/jC/8N/PUf/Ovy9zxRxjfChLIydbo/4xd/Br7qa74KX/u1XyvSFdG4W+77IqO0Cr3qpdj30mRMWnc/DfDvgX+NvIzTwcl00Etr/GEkNalMIkITAh98tvmor0+cqfN0DddRZ6e0QjVWTFKMWby2433xpBSTOE/dNOoGcKgPL/y55ydHQYRXs1dpOmpOYuDSWuNh/hCxiTlKto6GLEchf6h4+nKWHZTCFji2ZHAXSYFVtsKT4xPEiAWD2I0dO/OWXWufhhcbnoB720sXpOxLfNbnfBZ++ef+clw/ucbscoa3fMZbcGyOCMIAQ8dOwIdLefqed3+PbAhFyC7Rv/kp/+aHfX0DFRDyP43Uf/T/86Mf8fP9FUXRCx31v/Cn/gK+4vd+Bcq+5Lg40i/8eRxQ89r0jZwg64Fg/dFxhN3ZDvNkTp29Y3F8XV6LqzxUjB6uhxp6mBz/mmE2HkmYRikO5X1IShqxEOj7HkHCbkU3Uq4Tm1i6B83QQGmFhV6gammutJbs59HdF0l+kXZwgrYaRxYvj/ePcTleEu1X7hCFER4tHokhxk9N4ojmnH5gt0lphXW6FvRS05HT7Mf6fpriCToK1AzCAVmc4dAcJBo9SzJ2OgHcVre4yC6QxznSIIUZ+XMM44Bjc5Tn4CK/wCKhFCdoAmHLA/eL92hHiWJOdEJN/jRN8EbqQ8tnLQnupTLOOnn/hpHPQ9u3aE3LxNYJWVmEBcqsxNXhCrflLePlG0pc5jH16Gc5kWRZmOGlObWtVU8J121N+coqWWGRLLApN+htj6qtsO22pCxNRiqlFE2+E8FgFs+grELriIBbJAvJMfD0lrrnuLwfmNLajYxwV4aIvDRIUdtajI6poVl5UVCnuu/2onedxTMWHBPq08d2Q4Fm8wmjl0U0g9/Vd1gmSyJVp2JgqZciQwCor/Rsc+ecJHzGOgY0RK99U97cF4qT6c9ZFrTKkmT15PCERdwksYDluHiVruiTsCNiS3LBpt7gYfEQ62wtZtTX96+LRvrp6Sng7tM5b8obwe8ZZeT39XjWKIikcCjbkj+fc1jFK4RZKOz7pV1KwR8H5PwWQYE4ijFihDFGEKtlV8LBIQ+omfYm5LEb8ez4jGbbrkRrW6ySFcZxRJYyXjwLMzw7PsMsJLrT61B9yJEfnftu3iJZvDCK7nrKtzzSc3SjICcVFAbHYKLBEq+njMJZcoYu7ITxvak2KPsSF/kFKT0mFEqMPwjtu73Euyeaxd2xP+LQHkj1mkbngWZH2mNH0zCV9bjqqxf2R99AWcQLxEGMx/vHqFvKqI79Eet0jcxlst+0Yyvkp9GNOEvPaBbuS9yebiWMyXdOjTLiS6n6ClenK6YGB0SgFgEbMj4h15OEvKwQCigb7jf7Zi80l1CFeOv6rUJV8dQUgJhLv+fN9RyPZo9kOubBAf1I03VkIjycPUSsY5yGk9DQqq5i5znORRJTDjRkFlGBOIgFC+zNx5VjEy0ykaSnBmCnPIiI3r1ISUXyRuw0TEVu5JsToQ5FkuY7x4OlZM1P85RTOIwHtEOLi+wC85hTuMQlQI0PKsb95cMGfdihdRYjpm6yehEL+Pz1QkHuu+LT9FukiO5FrjhwL1WRr+MmpvfUuPD7pi/sv/97vx+/56t+D77ve74PT998ipdeekm+nkhQ9KTldvcHAfF/PPc5L5gy7b2m3XfL/WHGS1y8Zh2Tht3fW/7v+Nfv+c79869zqEJ6BcC9Z5EsJBDp47k+YQW51+w55TALZ+zQ6EqkDz4pTGLb7chutt3i+kTI/iyaobUtooGpT14XdJFfyKjx7WdvZycxyFD3Nd67fS9ROiNPpR7B5LXKSisJuUmjVMIBzvNz6honXFc3kr6wKTeowoqj5nGQBWAWz8TM50M5vvE/+Eb8vZ/4e/z9fx746s/5aizOFvi2v/ltOLoj9WFBhm/+n74Z3/DrvkFeqr/47r/Ik3XPuOUBA379p/z6j/jyfs0XfA0A4G/83N+Acw7bZov/7Kf+M/zeX/17P/Lf+wNfg2//5m9/4WOf/dpn46ff/9PUUMbUxt5Wt9Jx/rn3/BzKQ4l8luNtv/BtDIyJclIPwiNO5Yn89qkwPbZHiThWmidbH7zk9cReJ/vy7GXc1rfsogUFHByO4xFVTy3jPJwjMYxQ9ohKC4vb+pamOa1Fd9q6Vgr32MTUzg49di3571VXYREvOGZ2vfCHMYJdH2Ow63fIXIb5MJfCq2nIz09MgtYx2cuORDkeWprSyr5kd0IDjW0Q2ABBGEhxGAYh4Ej08YtG3bND/drsNSRRgn2zx5PTExJaDKU0eZQj08SqLZKFBEktogWW2VI6sIEJ5JTvY+lDHQqr3/N+W8uNtB1a0T6eGpqh4ShpaYcWzjgswgXygmFYZVei1rUQMTrLyPTBDqTtjNzwi6jAy7OXsa230lVy1uHlxctYpkucpQwkWiZLnGVMON3UG8wiasqzIMPV8QpP7VMcqoOw4JVWNM8N/F3aoSUb2XVwI8eSryxeIfEoTOFAGZRn+g56QOioaw51iAfpA9RjLam1cGwSDHYQ6k0cxMhj/v7+2ejGThZtYQFP6MVmaCQqPUojQUT6BNvOsuPoCyhfmIc6xGVxiSIqcGNuxHjb9i2KuBDT3QC+p73rYQcrHO7ABIBjWmqsKfmJ2ghmfp+dkASkrvRDj9rWeGvyVvFfVH0lpJR2JFkiMQnKtsST/RMZuYdBCAODPMnRnBrZxH2nE4AEuvVjz0lFxuwDO/CQbJ2lCT7IpSOextSuH+qDhIDBAafmRPlLkDLoy1aCMn12eiYHhK7vcDfcMaGxP2FbbYVhbhW9CxpaOv7nxTn21Z7TiZBptft6TzqVUuIN8JOwm/KGiaZRLp3dsaNm/dQyQyINUhyH4wtyo127w0It8MbuDeRxjihg4m3Xk12dhPTDePZ3FFLm4j0JmckwS6dC0ll0Q4dtvaWsp58SP5W9NwXa/j5wzPFg340d3jy8yURXRTZ5pLnf5iMlaFprRCpCFnPyM7pRknN39Q71yK6vj5RPQ/pjvHSt73s0QYOnp6d4WDwkE1wr9BV/jjRMEdpQCrlqqGACImcfFA+ElKGNxm15S3+FHXg/Di0RkCbEoTkIUvZ5WtIiXmAZL7Fv99g1DKvKoxzjOIoHoh3oS8oCklX8ISwPc5n0eL53oAMSgiZ9fjNOFLJYw1YsVlPHFNlZOpNJ1Vl2JpMx6dACYuhNxkS68aeWB4Wz5Az7ei++gdCEMI7M/iTkOtS13Qd1uF9gduOenmI0C3tnnRwIjDJcIz7g8p3o54ta//o+r/N+nmnuP8+/lz4ASeQmE3RAKwbu1FWNH/yBH8SP/9SP4/r6Gv/V9/1X+MNf/4elGH7Xj7wL3/Yt34Z/8o//CfIix2f/qs/G9/83348v/sIvxuuvv46v/7qvx9d/3dcDYJ31Td/0TfjhH/5hvPtn3w2rSGv5rj/zXfhz3/Xn8A9+7h/AOYf/9Wf/V/zxb/zj+Ef/2z9CP/T4tE//NHzLt30Lfuln/lK+dpMuJtThC5zy0Y2U+HiOOqjtd4b11ehGvLZ6jZPwj/P6mAvyn/zJn8S3f/u342d/9mfx9OlT/OAP/iC+5Eu+5GP+xrOYxXQWZkIx8RrTIqYUohkauJGnuqvTlWxURt8HK+yaHcZhZMcH96eaZmgQhzHeunyrAPuVUljna3ZK7RGH4YBzdY48yCUBMQkSQS41PcdIHpdo7ZTgOelu85gUCK+DhWJh4tMi27FFMzYSd/zm4zdffBEssL/d44/8pj+C/+Rv/icSSZ5ECb7rp75Lgkx8JHoRFyiSew7sR3P95l/8m/E//NP/AW3Xous/dPf9+esDi3F/vbp4VQxGzzuO//k/++f4Lb/mt8jn/ejf/VF82i/+NACQcWUWZbgpb8Sctak31DSaDA9mD5CG5G2jhYSieGarUw7LeEmTXBiziGyOQg64rW5xVV7hPD8X5rY3IV5X13yoCmq6nXXoh56yqJD3QxAESMcUZVti2xKt5/0MWZxhnazRjOTqphE1rftmT+xetoQd2fGv+gqH9nCvmRuZUqm0wtXpChoal/kl8iBHpSo0Y4O5mWNuGCp16k8IgkmH33YY1IB5zKTBU0/m7oBBkkr9hmfBeyQwgWjsNYiJbIcWCPBCJyYJEjGj+S7HqTthGS3RgulyoSJ6yh9UjWbypeesFlEhYTEImEwLgEi6yZwztuz0tGOLqqvQ9xyT53GOIixEq97bXrj9Scjv4RMvkyDBo/kjSWaNTCT+jcAEeGn2Ejd8UBISBRGeHp8S5xnHGNoB62TNgjEmkUEr8vJP7UlSApfZErrWcCF1xE/LpxI0ZGB4yAKTRouowKBIFvJdrn27l0W7iAvKErpadJaelz24QfSso2UuQNmXZPJP8rzE8BDj45izkJIe/xw91A9lQtCNHU7tiQ2GiUpQxAUONQ3r7dgKRzoPWVzXfU0KTX/Cz9/+PB4WDxkioyOiFyOFmZ3dG6btgEN3kImTBg+4b129FVeHKzw9PcWhPeA8O5cxtA9B80jHIi6wq3c4S88QqhAmYDe6CAtpuBRJQX51y46wz32oOkqOqq7CPGHn02jGiO+aHU2vU3z5aMk8P7Y011swk6Js2BE+n52j7mvc1Xc0pUdzzNM5ztac0Jx6mqi9lM0YIzjIaqgoT5ikBBbUWS+TpWQXxAGnY4eB6MpAkRQ0qpGx26bGoeYhzIMIbstbaDAQKu7J7V6kC/pUamZmaEfvUjASB5xnOZqRxabW7Fge2yM2FTXYu2Yn91jf9vRPOGree9uzsx/kqCzlWsM4UMYSshC9q6mvPjQH1F2Ndb4manOiAI2OIWoORADXIzvIm9NGshmKqOAoHyRHrfM1VskKCkomEL6BMAwDtt0WSZCQwBQwZKpqKh4iTYxuoKfIy61CE5LpHqUoVCFElLIrEQexTHLec/se7nvF5NUYKJuJTIRdv5M1+bahYb8dWuHC+8mDDjW2zRYLtZDJnvewOXUvqyrCAqt4xYTagLLWfuixxx5pkCJRifji/DXYgfdDXwuJzTqLZ8dnsJ2VnAi/b67SFS5mFzw0QLGR1FZYYSVrEDBpyD160N7LU25ubuTPve9DKYW727sP2vOvb67lAOIN7r4bfnFxIT4Cke9Msg3cN8eFT+7gEGkW/9po+Xl+6L/9IXzKp3wKPvVf+VT89t/x2/FH/uAfwR/+I38YWmn8rR/5W/h3ftu/gz/0R/4QvvsvfjearsG7/od3AQD+6n/9V/GrPutX4cu+4svwlV/5lfchg3hxSuC9XM8fJk7HE/7td/7b+OZv/2Zop/Ff/Nn/Ar/tt/w2/P1/9PexXq7vNfDTocI3E2ABq6z8nkYZNhrDQCSXzdAg1emHrKE+mutjLsjLssQv/aW/FF/+5V+O3/pbf+vH/Y1jEyPX3NDKjm7vNGBhdFfeybjR81VHN+IsZvfMBEaQhMfuiM50mGlqZ/OYJ9oWRHgVMaPM26FFGjLRMdABbqtbCae5rW5RDtS+HjsyaP3iMGJEZCNsmg0ukgtUQ3XfbVQBrOEm6I1Ji2Rxb06bki27oUMzNnj4ysMP+VqcjqSNpCZFHjDQZ7AD/oPP+Q8+7tcXAH4hgBkA9Q/+AR6ODZJqh7/2V/4wvu13fxsA4Ajg5z/Kr/Xq8lVcHa9IwnEWn/HSZ3zIz/vpH/9pfManfoYQPY4tU0gtLKOfh5PISlrVYnCMXz61J3oIInYJnCVVIA5i1KipcXSUk/jX9NgdJQIbYKdFQSGIAuwquu8PzQFudEjjSV/uLM6CM0kq9GPELKYRTzmefm8ctbrN2EA5hTgitccXqDfVDTrLgtJjHR3Y/X9QPCAlZtIaa1CTO2RkLherAnfVHXFpPsZcUUqwbbYSbPIgf4A4iqk5niZJSZAg0pHwiA/tgUmB2RlT8CYNv4ZmYt/AhFLfFW+GRvSMVU+DWWpSlCN9CUVEUsswDMjjXMzMoQoRRZEkwALsCndjh6EZpFvfDi2nH1Mx1/TUXg6gDthZFoo+dtxjqg7NAZfFJS7zSxJBJsRYEtBQdlfd4f279+PQMHHwQfaA5A1LSc2xPbIrFWcomxLBEOAiv0BnO+QRO33KKRy6g8jh5tEcyii4nlOVJCQtSJca79++H+f5uZjmtNJ4++rtOMtpKPMdcm9is5bUBf+1mqGRDm+NWrpEoyNF4lDz5zg0ByF25FGOgztQ7jUFN4X63lPhNzGPCq26Cp3pEAcxExIHFunQnLR4modSDAPSWmOW8lnRWuPZ4RllPskKne3QdR3uqjsShsJQwm+0oqa4cx3iMBajYRjw4OYbFL5RYJ2FCXjIykJi3iLN9N9qYFBRFpG7P4/4c8VBjMviEr3rsW22XPOHEQOI6tSaRiut+Szdnm7x7PCMEoye07Zu7AALHIYDZobSoL7vkcYpjOEUzloreuDr6hrrdo2HM0pzLvNLXB0ZbBObGIf6IJ3KZbIU2Yc3WO/qHdKACM9dvUM7MH00VSl1+EMpqF2XUA7TDR112GECO07pkCHXIgDIkTPRFw5tz6/X2Q5ucGIABHjIflY9EzmZHJAVxL9wUVyIF6TpiJldpktcRJS7nboT1KiwzJc8LIakUvnir4gKYY/3A3MXFukCz47PsGv4uxs1BUVhxNvXb4cbHBrXyHTMWcoAVvFKCFn+dVLuPgQqCzM0tpFJzLHhFDVxCQ7ugMxkaGJ+3ThkknXTNzh0PFR7kk5suM75KdWj2SOGgvUllslSAq08+zwNUgxuoAQwygWx6olDWZiJ9roZGgkhNNqg6As82T9hZgFYwDU9QQbN0Ij/wyNwlVIfRODwxs00TKWw9VO2fbnHrqa/wiiDWcRn99jSxOlZ82q4N0f6S3jcKkCveknJ/IWv/cKPcscHPuezPufD/tmhOdzTiCapr9dXP88f9zIZANJM9fWVgsL3/pXvxe945++AgsIX/ptfiK/6PV+FH/+JH8fnft7n4tv+xLfhS3/bl+I/+n/+R1Lkf/qnfzqUUjhfn8MEBovFAi+/9LJM1Z/Xf/vv/Tx1ZbADPvvXfrYU3YMd8Cf/zJ/ED/13P4S/+7f/Lr7oi79I1llv0vRrqJe4iETGm5thsMpoOO6GDtp+sPzno70+5oL8i77oi/BFX/RFH/c39Jfvph37o+hHU5NKx64pGyksqq5iNxIWTjtop4VZukyWeFA8YBDOdBr0EgiPqoqDGHDTRjaNofMol66cD5kxoPbxaTl12XTMVMiQwv3z4hyDG3B1uiKiyY2o+xrP+mfIk1wMD/5hyCOah7xh4z/+U/8xnHP4G3/9bwjeEQDSgl2BOIixSKmT/RdRjP8z/x+/4+tf+LN/+7l//9H/13fh1//Gf/+j+pp+kfxlr/yyD/s5u9MO//if/mPs9jsMZkD2KGOgR7zAqSFyL0oi5HEu4Rzbeis4Nh8I5TTTUb0es+5rHPsj8j5nlLrrMQ40UflQmqZr5ATvk/Ouy2ucohMe4AFDPcYpobRnEFI7UpoBQDTWSZhgNk6Fi9JEdE5Oda01bM9CuulZ3F6319K1X0S8r2fRTNjdPrI81MRyhSHHd7tqh7vhTvBjg6WZyx/2TgO75t3An2nAgJcXLwsX3OtAu6Fj0WMiovLgJEzjZMn6PsvOpGDuxk7kNlmYYZEscHuiadTrI71JTSstz4lHEzYDWdt+g/ILbKADIIAU/j5NcbCDvM7dSArEKlkhC8hrPbZHJhBO77UnXTxflBcRQ6Eu8gucmhNNruO06dUJthWN2at0Rb5wzAN6GqSiDzbGoIh4eFYgOaB3vTj3d9VOUj6dc3h2fCbj60fFIxRpwTAsE+DUnnB9upb73pM5PK0gDmKSJlCLBMloGizvyjsaoKbpSjfSrLfOaZR21snPuW/3pI0EiaA2nXNYZSt+zsgDU5qnSLsUp5ZSPk+ACAOmsc6Tufwuh+aAJGRxdWgOsBEPEz5cCA6CBQzCAK5xIrPwGykAGalXQyXozWW8xDJa4jRQzhDpCJfFJS6KCxybozQrkoBd+2W2RDtw2mM0+ejt0OLJ8QnqngbgR7NHuCwuEZiAWNJ6g7vmDq1r0fQNXopfQjmUxIeaBMt4SZ1uyKKzGzrMDOk/RhnR7PdNj2Ec8ObhTfESlR0DjZquQW0nf4HrcdadSaCOi51o/rfVVmRJfo9qBppAE5vgvbv3IggCoeMkQQKnHN539z40Q4N1sUbgAnl/rLO4Ol1JKmoSJlAjDZ5pTGmFN9E661DaErDE9Hp5U5ZzGtT2LS5yFuVtxGJhkS4QmpCd/6GXrIwkSqRzmwapEEGKiIbh0ISUog2dTEBO7QmDYzIpBiArMuRJzufCAm3fYlQjuraTQ9UiWVC+AFBbPvA9TqIEoQpxXXIt9ZMV30gIdCBZB7CQhpkDA4wc+MwopQQJGfYhilnBPX9aE7xksWxL1LYW4pefQDk4aUIIy/y5hMllshSkspdvPjs+I6IxLKRr7b02m2pDKV5yJt1Vf3mQAcDmhgNBFe3QSgBh13MK5mVv9VDjjcMbsKPFg9kDrOIV5tkc7uAE7QlMSgF1Lzsx2kg657+Iyzknz4xncg/uRSzg8wQVOIhO23fd3/Oe9+Ddf//d+Os/8Nc5WQ5C/Ftf+m/he/7y9+Bzfu3n4H//3/53/O4v/93ytfx+/Lxe3UtHfAgTQMmJDxd6fprvmexX11f4k9/8J/HTf/uncXtzS+lSVeON19+QwxgA8Zb4ZpvQX6aJFhzXwNCEco96sMXHe33CNOStbRGH1CIbZUi0GOhanodzbNutmHTyKIcbHWAAA4MwDEXzGhsaRXzkrB9DK8VFzOtngzgA2nvzh9dida7DZXaJq9MV8jhHpogK23U7RIpGpGWyxDpfE0XlRrxZv4lTe5KRpYaWbpfv9PtACi+vqXWNU3/C7/3jvxe/5xt/D975Oe/E6XhCXMT45h/+ZuRxjq/8rK/8F/b6zj7aTzwcP+qv+Z7Ne7Ctth/xc7J5hl/3Wb9O/vs//5H/HC+97SUAQBRGCMMQzrKTEOoQeUCtuTfglN0U7KCVMK9jw/HpsT1KVP0smgkj+9SfRPLk+bDOOcqcugoX2QUNUCDzu+xpBms7aizTmCMmryM0zshCoqAkoEBpMqMX6QJVx+5y1TPyfuu2mMUzJDE7OB6/WPYl1ulawnAOwwHn4Tkezh4i1CFuyhs8PT1FalJc5BfsIGgNY7nxVG2FY03KxTJd4uH8ISURfS2bhtLUKpddKcjFyERCLzm0B3H251GOcAhhw/v0wGqgRvjqdIVTf0LoQpRjiaEecDm/ZEDUSDyZj/OOVCQMY29oBti58xIWb1rzJtAOnWzAve1x6hkmYsDf1dMWDjgg7VKRrYx2FANdqEPUhnr0UIeoO1JNuqhD5jL+7jpi2MMkn+mGDvt2j/PsXPwETrNIbmp2tPy4sR+nQJ5cCZ3jQf4ARVwwf2DsRNI02AFWW5yaEzb1Bm9ZvYUdupFyI08K0YoUh+vymtxgy82ibEsZ6ZY94+l3wQ6zeAYHFn3+5/L0irvmDufpOdGZE6/ep2Q6OGH9Bzog5SlM5BABsOvjGwRVX93fLyrCaFgsXJ2uEBgST+DYZavHmtKWPpJ1zRdJeciurpdKxGEMqygn7O09X32ezLGtJyOuCWXCAXATbUaGuxhl8Ch/hHk6R91R1z2LKBW5qW4wjIPEmfti3sspfGFjYRFHMWxt0bTMCnDKYZWspOu1DJeABskmA+9130GVIsxpDMOAq/KKmL0ol/H3MA548/QmMpMJb7psS6Fi+MPSoaKWuh44KfEFZWACoSZVXYWX5i/J+173/FzrLF6avyQscB90t6k2Utj4YJ4szrDO1iKXPNQHZhtoIAIzAlpL2dlteYt9u5eOcDBSLheElE7No7lQnOD43ikQuTjYQfZVA4NVssK22aJqK8Gx9o4TuMzwmdy3e+QxpzZxECPWvEc29YbG8+l+HHren/OUhsU0mKbUirCBVbKC1VakWB5bamuLIuS934wNQhVChTw4nrqTkK600shNjiIqGOijA0GM7us9LGhgPrVMok5MQtoQiNn1z5sD5VRxwEmEl8C1tpVUWb+nyWRomqx4n5knM6UB0zrboRWS0bbe4qa6gR0tFukCzdigr5n6bRy75bGJUY4lmlODl/CSFMneVO3vc399LFLX/7PLk1Css5Kf4ckmHpcY6lAKcV9Ie2OogsJf/kt/GcMw4K2vvfX+6zqHOI6x/9N7JGkikhFPCvLFuP8az9NefHqnJINOU1ov1fXc89/37/0+3G3u8C1/8lvw6muvIggDfPGv+2LUXS06fYCGd4+NfJ5OIyz1aara2x6H8iBJrbGJP+7X9V96Qd62Ldr2nst4OBzk3++qO2FHj3bEzemG8dygXjGNqLsaUhqdbstb0bfO8/l9ql6zl87fMA6I9L35xSmmZ7VDKwuaAqOKPYYqDENkEXWl3tH+UvES8iQnA3WKtvXdnTROZQPwo7nCFEwE7DsskgVHrnYUDVgWZsgHhgJsyg3+8k/8ZYYt9DVmyQy/8zN/57/st+JDXvVY4/v+wffh3/3Mf1c+9t//0/8eX/yLvviFz/uRf/ojEhTzoa7v+u7vwu/7qt+Hb/26b33h48EYwI0Od+0dNVhgJw2OSMU0SmmuAtPZ6rEWXJ7HyAWKm06AQAwkURhJiupdc4fb5hYP84fSybipb3DX3NFJ35/Q9FzkL9ILSpQmmVRsmLZXRAWuT9dMpzNM66t6LqJK05U9jMTpNT3Ra6EOYYzBclwyVnmopGPdjR0CE+DV5as0jWmNfb3HQjOmPY9yWGfxyuIVjBixq3e4qW8oWQIXEhMYJHGCXbXDzMyE/z1LZhyRTQzqpmuQ5ZnEEXu8WWhCpg5O964v2L2pzndn6r6Wg8XYjlIUQYMx9+Mo8o++76X76Lumne2wsAvpDAQ6kFTKQAd43/A+sqgHHo4CHaAeappnR5p+ZhFN0IEJkEWZpPheFpe8kdw9U7ftWuybvbyGfceJxzydI7QhkpymrWXMLuNVfYXe9YLACgMmn5Ydo9N37Y4dw6mYP3VEUq7SlRi5HxQPSG/pyLD3Y2rjJqldR6ndeXHOLv3kd8kjvk5lV2Jf77GttojCCMMwkKwxhqgs/Qf7es9UypTs6FlKnfq+2aPqWIzu6p0UB35S4pNvAWAez7FKVtIZ3zU7eNau1zn2Y49ypNZ2mS4BkFYVBAEe5Y9QJ7UUjImh2fPqeMVOsOZrn4VcLytbIUKEbbvFviURIxszmWoYbXBb3iIO43tduTHEhepI/Bfe8L1O10I7ODZHmqsbpix7M1o3kHDiEy2vjlc8jITE2sLxcK2gZOLw5PSEt5HloWWRLASdq8Cu6Vl2hnHk6zSLZnhj/wY27YaTOxXi6e4pFtlCOrXt0HLjDznCfnZ6JuEvh4ZSsovsAmmQYttucagOxBEmC2rpfeEEK5NhL0VTUIJq9GhJrTTKtpRk1DRkx3yVr8Q7YkfLYt45klqGI5RVKJICry5fxfu378f/sf0/xBANB1kXlFK4rW/5uoWF4OmyOEOkI/EkeJ12YALhU1tYvHl8k+/P2CGLMxRBIVPkLGJj5Y3DG4hNjMvZpQS9+eTPY3uEMwwqc6ODCY3c11ZbxC5GO7aYB3NJyQ50gCIsuHcM/J+GhgsoH6xbTla11ngYPJSE17IrKTmdZK9e6qKUkpTZdmhxU99gkSyIKLQdro5XCIMQXdehtnxOXl28Cq00nh6f4qa8oeF5mlDkLkeBQmQ6SZAQ0DBNC/0EUmFSBkxSz0N7QNVW0IYSraZrODFFwGdfTyi+aU/ERDUaLVGlviMM8LDrCSf/oi4f/OepK17m4cN4pEFjAiHHPP/5Xd/h+7/v+/Et3/Yt+Pxf9/mCHnRw+O1f+tvxA//ND+CXfNovwU/8v38CX/7lXy5fz5NZABLhxmG8DxlywMX5Ba6eXUkIoFYa/+h//0eyhxhl8Pf+7t/Dt37Ht+ILfv0XQCuNJ4+fYLPZiLTOX57kIr/z9Pr5PdavJ9t2K/uL1hr7fv9xv67/0gvyb/3Wb8Uf/aN/9IM+vqt3aBURaSfLgJbe9qiaCsMwoFgUpK8YniQDw05O3dZIdQqrKHe5Ol0hNUzJKoKC7ErbSTBFERaoVc0CbEJmRSaCMQZ9Sd2ddlpwYt1IOoTHM/mRt2dN7ps9Cw8H7Nv9veZcJwjCAE8OT3BX32Gezmk6my7fUfKn+uvyWpzXPiziE3H9sd/5zfgH07//2D/7MZzn5xxbf8D1G37Rb8BPve+nPmzI0B/8mj+IcfjgB/57v+t78bXf+bUy7hmGAaEiNcLBiXyk6RsxjngzaKi4ed+cblC3NXnuUyR5HMSIdIS7+o5Gy3aPMiolpXAYB8GbdR315r6TO4tnTLk0TOK0sGh7aq09Qm2ezNGOLY79UeQIXnrizXyB4WnfBAbnwTkPhmMrOrnXZq8xNnlo2Z2Z0hVHO0rc83l+jta2gL2PvPeBF0nEtMwu6KTbrbVGYpgU2A80RB7MAUmUQGlFKsLURWiHFr3qhRLiN4s4jNH01PWPdhS6xQgubmmUAhYYzIBTe8LdcIfYMEV2nswRm1joLV7K0w6tJLj5xdNrmy+KC2it8Xj3mKFEmhHut9UtAgS4mF2Q8DHp2r3c4tgeRVsdmABjPwpzuB96PG2fMmV0HLipBjEu8gsuogoySvQBKmVbYgjZWfcblscZPige4PX967gqr7BIFlglK8wTBpr4Z9doAztyMwl0IFjINKCptu1bYkxBSdUyXiKMqev3BIxTf8IyIE0mDEI83T/F1fEKiUmw63ZITCKHzdcPr2MVr/Bg9gCzdIZdtRPt6yJdiLY8NCFWyQoO1JVmYYZmZAffTx28z8J/zGGKL59IAr6JYJzBLJ9RDtacYEMr0iXPhvfFe4BA7rdNuZFCxiiDu+oOgWH3sR1aoCdtQxmFu/IOzjqs0hWSMMFteUtpyvwRIhORwNOQ6DKMg4zGBztItLrHy4YRZWfbakvihZ10xhEnp8fmiDebN6GgiL2d1o0wCNH1Hbv76VooCVaxuNi1TD/dN3uskhVMaNCpDof2IEz5U3dCZztchBfEQ05Sr119PxnII2ZBZBWLWnVk4ZAnOeVcbkARU2rR9jTe39pbhCbEg/wBwoBToCDgNKJqeXjxE+EwCJGqlH936FAOJZxmB79qK3jjtuscTh1lRPtqLwm7z4fJeFlDOZS4q+7w6vJV5DGnHwDw7PgMZVvKaF78UUMDDXYwT90Jl/mldHw99cl39Y/tEQd3QB7nOEvOyB0fW2qnLQ3by3iJ2rJJUESF8Pl9eFga8dDiU4ebnk2Bp4enKKIC62zNvAW7w2k8iXZ+dKSqZCEPjILhg5E0XGstQhUiiKbCcjLuwUBkXdWpEnlfPqPuXoFUlrIt5fkyhvvAqT9Bg8FzQzSgaAvWHyPrj32zlwyN0Y44NAfxlvhpX9M3QvACGGjoSWGBZtPrA/8Z7Six9B6l+HPv+zmZ+EpSpbM4bA/4Ff/qr3hh7/7pn/1prM/XhCG4XrrDHp3oD4l+yueDEwVZCCUyGi8h8Unqf+u//1vYbXd45+96J4o5QxV95/k3fclvwvf85e/BH/vWP4Z3fNE78LZf8Da883e8E8Mw4Ed+5EfwdV/3dXBweO0tr+Enf/In8Vu+9LcgTmI8uHyAz/28z8XNv3+D7/xT34l3/NZ34H/+sf8Z/+O7/kfMZjP5ed/2C96GH/hrP4Bf9lm/DOWhxDf+R9+INOWU/HmE4weZZAGZUPkEbo/E9J6fPMox1B869+Wjuf6lF+Rf//Vfj9//+3+//PfhcMCrr75KVFNMeUESJnhYPEQ91rg6XqG1LRnDxmCdruX041+gY3uEg8P7t++HhcVqvsIiXpBd3XPsvGt2yEMWTnVXA45GUo8ey0LGfwPAXXkn4Q+ZyTCAZrTRjtAJI99HNZKfGnSygHg5g1MO226LtmzF7e0LhWW6lEj5uq+xb/Y4NSeJAgY+PD/0/+rrCz7pC/BT7/upF1zSz19eTvKB17sfv/vD6sr/l3f9LzD/scHX/LGvwTpf49gdZQzt4HBoD2g6aoHPi3O0Y4vUpLLZGWcwj+Y4RSfSb0BKxjIm0u/YHZFECU492dOBDYiomnjI1lkkUYJds0OsY6ZOJisWoeBJvre9RF13Y4djS63rIl1grWiwuqvvcFvf4iK9QD3WEtSSx+zSBoq86HEY8fj4mO8/qK889kfqztyIVbBiOMfYC9ox1CFmKUlDy2SJqq/glEPZlngwe4B1vuYofuJQt0ML21jpAvYju98X+YWYTQAWxJtqgzRIcWgOuC6vMU/m0I6HiGWyhIOTjcBvnEVQIA5jBC4Q41ndk7aQBjyYnjqmAQJcpMo9pTlJmNyn14Ed+4fFQyQmwaE+4NAeZKyfh7lMHfwYuGxLYb56fnAOTq021Qb7ht2HwARom1YwVKGirGbESBxhyFCftm9xVzLJctfusE7XDBeZ2MN1X0M3DAl7dfEqZuFMNNdQ5MwGJhCEWNczkjuNeP/6bq3qFY7jEc/KZ2LemsUzRAHvqXZoSeYIMyyiBbKYCax2pF65AUPHrCXLOI1S6FaLfMRvdstsiRHctDvbiZ5VaSVeiizKcDqdyDDPz3BzvBEyUD8Sf3dqT3Apu5mzZCYdx2N3FIxsaEI0A9NK45zc8+vDNbYdk5Vfmr2EaqgkpTIJEjlYn+fngOIUbBEv8Mb+DaGQhCpEkdEw6H0pOtZyoDs0BxJtkgLWMr1TKy3oyLrnFM3rtX0H0GtInXI4S85kMlXZSnTjWZihdUSrWkXPRxDQXFr3Nfbdno0FDYQB1/FTR2PmRX7B8fQki/RT0gf5A2QRzaunI7MvfJjJpt7gMr9kaJUbUAQFDeGuk4Adb0ZcxAtKIfoK59k511oFpFFKNJ9pJcVVa42gCnBT3ZCAMvYMpuk51fAHbqMM6qFm93Z/Ax1onM/O0XQN7uo7MYT7Zy+NU8yCGdY5g4DW2Vq8J1Vf4Wn1FHmQs/s81NL1dIoUjVk8E8zlKlkR2wiSgDCCv0+YYl/tsQgXCJMQcRjj1NCIqrVmwe1CSlCmrdHnGmiwIZFFGa5P1yKLuj3eMkNhnCR1OpLAs0hT2uhTIhvVSBCMn4qnQcpu9TTJ6R3v03oglWehFwgUEbVeLuP13sA9EjAybBL50KYoiETqs623lDJaypB8GNbT41M8Oz4DQP1+Z4l7PrUnrDOm4CZxgvJUIkiYaTILOT0LTUgP1AjRSEvBCEjX35scz8/PZX/w6+wHcsT99eDiAVbnK/EBeY+Cl1L1tpea7HkJif/+/s98p9nBwVruud/7V74Xn//rPh/L5VLC3Pwh4R1f8g78me/8M1gul/hL3/eX8B1/4jvwnd/+nZjP5/jVv+ZXc72Fwjd84zfga/4fX4Nf8ot/CdqWNK9P+UWfgu/6s9+FP/GtfwLf/ie+Hb/5S34zvvprvxrf+5e+l+ukUvhP/+x/ij/4e/8g/vVf9a/j5Vdexjf80W/AN3z9N4hO3OvVvT5dKy24yECTdNQM9KvBQcIsl/GSgA/VfOgC6qO4/qUX5HEcI44/WFMzi2dATDYuFJAlGWxLYknf9+I+roYKCgrXx2s640t2yPxJ7Sw9kzh2o4zor7KQLn6PGwtNiGflMxzbIx7lj9ipmzjBPlnuLcu3YB7N4eDw7PQMbdvismDqYaDu41idc7icXTI9sr5B3dU4dSfsm70EuRyaA17fvi4b6ll6xlASFTAO2CQYx5Ga6luH7/yB78Tv/9L7g8v3/6/fj3f+q+/8l/32fND15unND5sWOrgBX/j2L/ygj/vC7MNdm6cbKV6KsJDuRtmx+Bow4LXkNRI+MENve1xGl9g1O7R9Cx1ozGIir15bviaR7QZGzMCLaMHYZ23l8NaNLJZ8QThilO6e0SR1nOfnqDp2kvzDVnYsmM/SM46LR+K1VjUL+aaj/r2zHfYNecUAOw1ZkuHCXsgoPg1SPMofiUGvcx1Up5CmqRCGNDT6kZ2Fu+aOBtFpwXPW4eH8oegXj80RZV9Kx9pZJ8XQvtnDaCOyoqqv0A0dbk43OLZHMax4zvdoyVX1MeRZlJFxXBMT6mUpzjkJsfEbjzfm+cXXd0+TMBEiiOc1R4bpk68sXiEBadrEnh2fkc8+GQI9Bq3sSgDTuHNkoe7pLV7DmUUZLvUl7qo7kXk451C3NZYJaUfH9ohNvWHX0Dqi9cYGXdNR5zkxZlfZSkyvngle97W4601vMI6cBgzgQaIZGpGDeKNSGqRomoZx4RFZ7IHj99i1OwwDdceH7oBqYLDNTXOD2tY4NTRjLhKa7jwnuBkbFkJTEM8wDoijGHfdHVSl8JbFW5BG7K5d5pcyzYlMxAmh4/O2rSgpObTsvJ1lZ5wmTcX5sTkK7SINU9xWtzIK9mhKDY11vkYcEaMXRRF/7piYRIPJ/zAFf/jDjHacSs7juRyC4yDmdHQqdq2jZM1oI4xyP+0MTShpvlEQ3U89/Lr0XJLhRXohm74v/n7B4hdISuK+44QzMxku00v06NH2Lc6yMxz7I56dniFwxIRqTbOygYEyitHyk/43CZjAfJ6fi3yl7mu0Q4tNtcF5di5d03ZoZZSfhTygeADBVX3F6QtILxosUZ0XBcOC/ARGaw0MQOcoM3NgKqvWnFwEOsCAAceaCalFUogG24Ja+DfKN/DK/BXMI+JUbWWF557GlIcmhp4Dn43gDZiDHZAGRKJ6rW4/9GjB59YfVK2zmMdzlEOJJEzkdzi2R/SqRzHSnB2GIeqRBsV5OMcyW5KY0xJRGalI0rIDHaAdKJc5L84l8M4XwHVHws95fo5dtcOTwxPMkznW+ZqYwQmf2/UdgiBAXTMpNdQhEEEO3lD009RDTeQsIFklneU0ZbQj0pAJ0DrW2Ld7mjtNjN71CAzX9CAIJOeidz2aoZHDq9JKJm9Qk4FaAW/u3yTFDby/PIDAy2ijIMJtecsJbswJbqApYVHdcymZykoh6YtLj/7zkhG/X/lDrP//5y+FSQalrEwJPV7Qy1D8IcDrw33YnJcahYbSLPk7E8P7v/2h/1Z04aMahQKjlMK/9sv/NWwrTqw++V/5ZPymd/yme+35dLgY3IBP/9c+HX/77/1t+Xk9VeorvvIr8Du//HfKXqWg8If+8B8Sqean/dJPw4/+5I9yOgQW27/5S37zC4eSY3MUU6wv0o02Mv0e9NQI0iFCFeIivZC06sNw+KDX8qO9PuaC/HQ64ed//h6W9973vhf/8B/+Q5ydneG11177qL+OdWRsdpZjQFgI09t3/vzocxiZWAXNBba1JDasEi6IQUB0YRpQ29qMpF8kOqGhoq/oiNUR8iCnvsvSoX9zusGT/RMUSSGn9N72YgC4KW8YQT89dHVfS3jQrtvRvGBCuuGn0AjrLG7LW6ZbBhlNW0UpumK/WTZo8Ob738RX/4avltflT//NP42Hrz38mIwBf/pdfxq/7wt/30f9+R/pavoGCIC/+Pf/Ir7is75CPv5D/+SHZHH+wGsezD/i11w/WuPYHKVzUSQFzuIzMpCHlpzkhF2YIirkQQp1iEEPUggqpdgtmu4RH5WdhqksWMM4oHOdvL9aaRawIY1ERVpgV+6QxRkui8v7JDfvQZjS0VbpCut0fa83NGQKb8oNNvWG3V0MiMBR6ipZCR5wla6EdetRhCu9wtlwhtv6ll2ZkNORbbNFHMQ4dScM48CCJ4jFC9E7Hk7DgGmmZcuAoSAMBI8Y6QgX2QV2zQ77hhuEZ1lfl9e4LW9RdRVenr0si9q+2VMvD7Jyt/UWsYlxGklO0KNGBXYWl8kSWmmaP2tq2M+SMzRjI4V5aEKRH3lOuRqmeOdmj22z5WKNEb3rRV/c2x6Foc8i1DTveGZ6bGN2/wZKWdIoRaQiBqrEC5JUpthyXySsszW0ZrKfdRaJSUg4gBUp2l19h1rXwo4+z9g1SsIEwzjgWfkMD/OH0hls+kac/uNI87BTTg6ZDow1b0Z2h1vHmPSwZnGPKWZ8Fs+AlpIsn3HQD71gTo89pSU+wfVZ+Yzj5O6AAkSfYQTqsoZSCpuKEd6LmL6EZbqUg6hRNPOmYcpCPchQtIUUDvNwjn27R2/v3/tluhS/jOD9GrKwR1C2clFcIKpZFK+SFVLDDIZu7BAlEQpTyHrtUad+ffQmKD/VCRSlf+XAA/CpYwKp/7v1UCMPcyn+PO/dm+bLrpRgGQUWOlmYiczBe3jOMqJuX9+/juvjNX0B2QpREOGupLQmjxnqE7kIrW0Fr6rBju0qWeHYHYkGDNlRBeghGOwgsfGh4tj6trzFZXGJeTJnp7zcEKNmLc24JkblSPvS0CK3mcUzRFEkv1NsYjnMef/E683r8rqsszWuDldiMq2GSoqvR/NH0rhaFSuoSmFb0nzppxj9SAPrPJzjoiD67zw/59pUb7k+KhZil8UlTv0Ju4o+hizI7tcnzcLLF26+K6ygUMQkolUNf7ZB0XOllaZ/RVUIOt7zUEzh9tK+bbWFCci6vsguZG0sxxIWVrIM0ihlI0YrCUFy1snhp+oqOO3YxEkykRcYRdb8tt3SpzKZc8dolCKybEpkUSZm7G7kZEor+iAO7YGpwz2fpWqoMNMz7Os9mxFhwiLbJGTbd400JbyR1Ghib7uRGRRFWMAGVBBsmy2Npv1JUMCzaCZZLIf2gNS9yL6WCHh3/99wkHXLNxGUU/cplB9wDW6QIt4X8h544CeGnjjyfKT9838+jIP4G3xN5wt0ANJVhwPXGHcvh/FdfeA+6v554olngSulpBjXTlMqpNnk8n4UACL38ZIdT4TxZD7+GJMxVht5v/1rIAnK7j5B9Dw7xzJfIgjuZVzeAPrxXB9zQf7ud78bn//5ny//7eUov+t3/S78lb/yVz7qryNO7WkRq8caM8MOkU9ShANOLdFv62RN2cnkavansB49EsUb3Y8YuqHDvt5L6EA7tKIfzuOcWKIJgdeNHR4UDxgy1O1ECzVLZ3ABwxCuT9fIwgxZlGGZLkUrd11eQ1kFp52glrxm89SecFffscsapdKlLKICry5exZiMCPoAr5evv/C67Pd7PMIjJGHyEV+/v/P635GDy3tef89H/wb+n1zN0Ahb+S/9/b+Eeqjx1Z/91fiST/2SD/+XzAcbQd/x29+BJ68/wdnDM3zFN30FfuYnfgaogeVqic/81Z+JIivuMYNBglk4w7bZYrCUMNRdjf1AeYKFxXl2LqE13UiKynE4csoQUF/9xv4NBIZay0iz0I51DAMe7Hrbw8LKOLkbOhldBlGAxNIx7U/EvWUh6A18p/Yk8pZABRgGFlGxi3GRXRAF1lEqkIYpFvGC9+WkqzbaoDt2gtZLDAvZXbUTs04zUirlx+g+EOf5MBuv2/WBJCd3wogRs4iyl2N7RNM3eHx4TBMiRlwWpKWUPbvPGjShebKLN9H2rmfRGd272YuokG77rt2xo6Sp3U0CJhnCAcYY1FUtJAVvsj52DGqJgkgkZD7hLwsz6aL7Rd1PTg7jQVBr16drHtijVPS5WrEIbzqa/oqw4OHNUfOInsSFZbbErt5JAIp1FrfVLS6yCyySBRYxTcSH9kBWdziTg8Q4jtBGY9cwqMeNTpIV8zCXQ0jdc0p2np7j0fyR6FV3DTnCRcxCtXENqpITmWqocFPe4K66k8PKrt0hr9gxa/sWUchxu3YaeUzN97bZwsCgSAse+KaC0o+TnXMiq0uDVDSc83iOsitxLI/Iggzn+Tm29VZkH+3AMC6voa/7GufZOUe0E2LSd8VkPO0oESqHUjbJESOU5eH50B5gB3aG/fcBIF1xz/qNVYwkTiR1EiCJxOMyvfdjsAMzCSwDgVrbkqWdLtmRDwIhLWVhhoviQpokWZixYzwFKAGkbkVhJNOKxjbYVBvKFJIFFtECd80dqq7Cw9lDPJo/Ek9AYAJYZdH0DS6jS8FRPt81PLUnJCFZ+l5ic1uS+LJMlrgMOAms+xq5JswgNCGnrSamH6orcWgok/Gs7KvTFWbxDEVYIIsz6RqmQcrm1UgPSZzEwsUe7YhTe0JjG1wWl2LE86SiTbXhRCDgNORQH3B3ukOPHnmY4yyj5ntbbtmV1haRi0RW0owNzmMmjJ46ZmvAMsRsHEiv0NCEOYwWLy1e4qE5TMRP8sriFTGg+wyIZUTpjPcdHbujmArrnvLHTbWRj53n58KaDxAgDVIapQ314N68Fxj6QHxh5uVfvZ3kP4r5CIMjf95LPZq+wbFh6moWZbCjxbYhoEEphXk0FxpPEiRMto0TmJFFHnzqr+Oam0U8IMyTOW7qmxeQgVVfYR7NESScNN11d8hNLofgwQ0YenLXfREeqOC+QH4O+wfFYtSjCn1R7u/XD7yep7I8z+320hMHhiIZxz3OwjI/xBfSU4EbqlAmX17u4qkoz8tDrH2RJQ7cZ0CIcXNaOwId3B86ps9TTgklyZs/n++CB+Df6VUvX983gDyj3B8m/LoEsFHsu+fPc8iNIpa0SAphx492RG0/tM/uo7k+5oL88z7v8z7km/exXllI5qdH0BVhgVW6QtmVeFA8EC14aCZ2swrRg6Maz4YsW6aMtaoVvqt3KPuRsk/99A+UUUb0Yl7nPU/Z4d2cON6OAppBjTIkZ6QLRCE7BX6c+2z/DO+5ew8XQDii0mKmMh6bo4w4lFWo2gq96TE4bvqLeIE8IXFlPnuxu7xerSkFcCP+zut/B5/92md/0Gv3E//fn2CCnyYt4kHx4IM+58/88F8E3vEVH/TxD7yet29++098O8eXUYooJCv8yz/tyz/i33/PzXsw2vGDqCw//Nd+GD/zxs+gH3v8T//j/4Tv/Pe/U/7sm777m/BrP//Xyvg5NCHTFKMMZccwhjRKkQ+5LHA+kdKTPQY1wA2Mr/bBEM+Oz3B9upbCwweYDI6FmHGGHVRoPCuf4enpKZbJkgaxIJYTtF8IFZRo9OqhZtS07bCIKY/xhk3vDZjFM9Ek+hO+590rp2j4UzxcepZvFmRoA46YR4xQTmGWzkQzPE/mCAO+Pv3Ykxs9WDJ0pw3ay7Q863gRL9D2rejUsyATqoRyioeuoUYzNGi6Rgq3sidbXDl2IaF5AO4cZQNZlKGtqGM9tkcJFmrHVgJsfIekHVqcuhOKuMAs4mErNCE70vk5Hu8es1ANC1hFnXDZEltadzVaR5OoASU4m2qDNCL+Lo/ZHRzGAW3XiuHWF9bVUMFaK8ZuDbLk645kl2Zo0NqWhfdE1Qh0IDrry/ySASvNiemlKuW0xBjGhTc7SacE7g1TScAN2msOsyDDTXVDidVUDBVBgVXGbmvTN7KW5lEuuvWr+or0lmk0nkYp4jDGvt5jla/wcPYQd+UdZuEMF+mFdKA8C9cfavwUwt+LfpP264ZW9C90Q0fMqyFXfJkumYgIBzUqYubGEVZbQcv2Qy/5AHBgkuvYYt/ukZhEniGAm16SJlKARCZCP/RwxsmhzpOVsjCTZ8+z74uooHHKjWLiTpJEjMR5RIydP5Dsmh2/j45ktO+LklcWr8BZhyRKsK+ZvjuMAwOBuobPZ8aJ3mAHHvrdiKZtcIr53s8i+gy8yXSdrtFZMqfHcZRCqenZ3LjILpCECXbtTrTsm2oDnWhkKiPu0Dk8PjyW16MdaNK0jkVOFpI85LMatNa4KW/wbHiGRbHAeXKOB+YBbvUtMAJd0EkH2R+2y7bEaThhHa0lZn6wA8KQB/UwCTEorpVy8IGDHSyuT9c49ZxgFAnfi9v6lh1FjMLK9wfCs/QMr29fx+PTY8Sa05dVskKPHjPH9c1aKwmk/vVMwgQXyQU2pw2ijgfwR7NHACAEkXEc6RcygZjLfTqxMgpmNGjHlgCCgQX0Ml5iHsxRuxqpSsltH5lAPIuIifR7UaxiMvnHI9d/BCK1AIBZMsOm2mBTbfAof4TOdsQsRxmlhTrGpt4gDCY+9ZRz4VUhy3SJpm+ke+4cX8M4jLFyTPpMw5ShcdM+344tlFHIdY4wDEX25qV6vhnpi1Df/fYEn0DRDzS6USYY/r3y5vwPdWmlpZD2EhgvWfTvoZeqwN3Hy1tn5ZAgX0tPEhWMImXxa6WzTrrd/uf2nhIAYqL0XHi/T/vf13fefbHvp61ucNIg8NPhyETydf2a6S8v09Fay+HBwyb8OuqNnQCzbbb1tLeZmM9Pf1/wf6zXJ4xDvkyXKFWJPMhx09KYsq/3BP4nKS6yC9ycbogStJ3oG+MghoPDXXUnQT+njjrG0fJ01A2ddASNMkQWDR3RbpOTepGwaEnjVEI4ipgdtsZSIxwYslkfFY8QB2Smn9oTnpyecJGJlsK93NU7PD4+ZqcjyCWIpAeNP1mUiZnw9f3ruBwuobXGy299GX/1f/6r2B/2CJIAb3nbW0R3Bwf87JOfZUjJ6RmyIJNgg0NzEImMRLs+dz27mOGT8JF55P/d330Xfv5X3mvCe9vjD33uH/o/fe/+2j/8a1gkC6zzNcedyYeRrDjgv/zz/yV+5n/5mRc+fNpSPx4FlO7UQ43CFjQjqUawUO1ICUvnOnnwYfmQD44sYl8U+SCFIiS+ECOwSBeINV3+YRJKN8AYIxpq66xonj09xXd28zy/Z85Ojv9Dc8CxOaJIGVrxcPYQt9Ut7qo7lF0pelrfJfccaX/I8vevN4gskyVa2zKkaKBJ0ZvHyu4+gdDTDUZHLOFZxskLwM59MzY4NAes4pV0HrwEzC9SvvOioFA21Ljvw71w2jfVRnBgXmfuCz0v72mGhp1esNMX6hBn+ZkgCOuhFsRXMzZYKhpd/FRJK83OXRijaWiM6Xsio27rW9zVd9DQ8l4M4AI3uAHXx2vsgz2ymJ1Oz67uhk5kZZ0l89wzoP37bUcrjOwiKeS937d77Os9O11ToNM6W4shNFOZaOHLltrQGWYkpnQnQbYukyUMDDWqfc1JjKZUw8uhIhPRR2A7tC2JLKd+OgAHkfDStWH3JVQMY/GGKq+z1o60Hi+rcNYhzVPRjo+OBl1vJvebll8f1+kaFlYK33lMco7nze9qZjAMGCQJ1Ye4VR3v53nEcfksnuHZ6Rk29YYywpS0l9vTLXYdpUWBDhBUfB681KSzHUknY0fizCT58FPL3vbiBUmDVGQH59m5mPGrhNSNs/RMDh7dyMPjsTuKMdwTHjKTETk5Usbog5G8Zt1TK3wAy+u711G1FR4WD7HrdlIY+4AZr5P16bWeBe87qoMdsGk2yOoMS9C8ZpTBy4uXhRPv0auhCWUyE2liJI0ysJh8H0MnFLFqqKAtR+iVrQggiEfSNBxRh0mQoAgLrk3NnUwTvHE4Sej1OLUnZC7DK8tXZPKwq3e4nF1Kgu7oRixSUnhgeEgPwxCogJM9ITMZQ/ymJkI43gelvDR7SYKmmrGBsgpn+RlCFWJf72l+DCIUQYEBAzXKk87aN1TGccSIEc+OzwTHeVveSniRl0I1Q4OmpucClnrwEOSRb+oNrutrnKVnJNR0JXbdDrmjdDDUbLz4gs9oA2OnqYxjA6KIC3mWfDT9sef0b57MZe/QSlNGN70e22Yr8hjvDRncgNSknO55D5bDvcTGY1MDdtrrrsY8nGOdrbl3mkiISYELRIPtpxVeH+7Z5B9IDvGG+96yeJRDwwfs3x5hODoSgTT0vfRj4pwrp2Bw3622sBKg41Gz/vN9URvo4L6g9j80nqOZQL9QYHuu+PMddf6ITtChL3T0cW/G9Mmt/mfy39cbXv33kJ8TVl4P77vyr5fv1vs1trc9QstGk5fN/F8qWfkXdRnDJExviOltz7AAWEnzCnQgEgBf0Dz/Ara2pTZpMtwc2yOstXg4e8iCJUxxU95ISIqPm/ZvdBqlOBvPKGlR3PzPkjMEfSD61ovsAkVcoO7ptm76RkbjfpyorGICX33H8KBxhDJKTkqDG7CMl4IE8rSXZmywiBd48NoDrAZuZEEQSBfWnxD92MqfTP2IfJ2vkYc5yqD8oNf31J/w8x/00Revt/3KFw2a/+Hn/4cf1XvnN5QszMT49KGuv/BdfwHf/e3f/UEfL1YFWtuKw7/uJid7vEAUcER/09yIfncWz5BEiaQENkPDMJ0wFV1p1VVITIJHi0dIggSH/oBDd2BXPGUC4rE9ou5rUjiiHKMjreIivxDpgVZM+fTG09jEsJYHLh+Xvm/2iPqIdICWn+MpGouY1IZjfUSe5DjPOD71U7h2aJFGKZYZO/PWEbNlleUB0FkWkxP/NwsyGa0eWxYZla4ketybLu1oJTSpHmop+H162q7ZIQ+4+fjOeRRECFyAVKdII47ynXM0QvYlF2CnxfBYdqXozwN9b6wqkgKJS0Sz68fK3j+hoCTA49AwpOgyJ4e4Hms0toEdeeC6TC8RhzGxXpPxr3KVdCqascHd/g4YwddnoltopXFzusEyWzLePUxlUzy1NK0abTBP56g6FmPDyEL3urxG3MSyiVV9hW29ZZx4nAur+dgfsdAL0alvqg3NYBo8vEyx7p6nPg4coTeOz3kapdTTl1uOVTWjvQ1Iwtg20/fEdLjoO3LRp3vMOSesYqPZQQeomy1bHnCTMMEyWcpm60e+gQ6waTYyzg4VO4FplqIfadpUTqF0JY7dEWfJGWbRTAJo/ITHGIPz4pzFpDKiA9dOIzWpMLjjMMaFIXPey7Z8cJCfJPR9z0lGR4/HKl4hSzLxVGRBhrv6jtShwSELMmHDe7ljN3bStfNFjFZaUvRm0UwmIL74KCJi1vqxx9XpiiXBNJnyXfZAUerwvsP76HNImFg5jIOEVM2CGU7uJKEyfuo0j+fscE7c/qZrUJsaRVxI526eUI4WBiHqnhLBVbrCqTth02x40EjOUPXEP2rN8LlgZCEzgFjXJGTiad3XMMYgD5mU6bvcu2aHsWdBGxk+705RLpCaFEdzFCnOoaOXS3I3Ro7+5yENyn4vig1pOZf5JRrbACND37qO3fhRc5/WWiNVTP30FB+fsBxFkazpi3iBPCai0o4WNryf4jyPoLSWno8iKsj0r7fY2z0GN2CdrilFHHng81NKP131MgQvlbVgcTWOU6iWoTY7NZTEeUqTl005ywO5Ugpdz9ciDol19fu60Qa5ySWnoB8pkSwiTsViE/OgP7Y8VE3kLU8/WmUr7qWT5ySOYvGZPCge4Cw/w77mFC8xVATAASFC6EGLFrwd2hdwls//v6+j/B7gHCf55xfn2JQbALhPjfbF+3OUOwcHZ+9lG/490kbLtAJTZoRPLfbPpHPuBfrK851umU5Pkyw/GXpem+7/8XueHD4mfK98bQ3RefsAMuD+MOLlNp4M4+Uwz2vgfcCR//kBSAdfFCKOssLz4vzePA19n53xcVyfsIK8aisslgvUXY1Hi0foBrKiIx3BWYdZOhPdLcBxB0Ya0FpLTfg6XcsG75M5A830s1BTJ5wYalxX6Yo4tiiWrvJoefIfHdPF7Mh0uUFRlzWP6P4eLMePVVcxMCRbsbMUUd9a9qVEDFdNhVa1WAZLRGEEpVkYbeoNdKexSldiQtjVO0pnohnyIEccx7g93aK1jKAe7T2b1XeoAgT3miZHU+DzJ0N/+S7Sh7ved/c+vPXsrR/z+3Z1vMJteUtNajTHAN6sp/Ykukx/fe+f/d4X/vszf9Vn4jf+rt+IT/0Vn0qgfk0tbBzGOHZHbKoNYh2zixkVmMdz7Jod7qo7XJpL6VZvG3aPfOfSwqK1HEsf2yP5rSENMptywyS74SRpcHHAe8BajnT3LScz1VAhNewoe2nHbXUryEAvfwh0gGqocBpO8MardmjlkBa4AI1rsDltoAp2+LbVloVHFAt1RClFKUVfS0jW+YyaXRMYWSybnjKSeqyRmhTVWOHJ8QlWw0o6DR41toyXgOai6mqHm+pGOt7OOThFEsngBlxml7wfDRnI/r5p+kbG/KHm4eSuusOhPRAzNrCwCU2IbbvFG9s3sM7X5EpPdAA/RvQj8zjg5uLZy83QQBuNQhU0h409+qGHjjSaYUKCPuchCQ3DUk7dCdays+2nZot0KnZbbs7ea2C0wakhDrPua+RxTmrP5O5fpAsp2APNAuzQHvB4T+mAZ2o3YyOpsaMbhfzkrEOnGRt+V91JFzuPcvK6bQU3UkLhtaqn/sSfJcrRG5pbrbPUASuaRtfJGlEYkS8fJhi7kd36JINx91p8//2KgKFkbnSITSwTq12zk4OiT2Tsxg6n7gRlFc7n59iWW+y7PTanDQ79AWmQ4kH+ALtmh2qo5B404M8+V3OEKkQUTR39Zs9iOlmhs4z57iw9QCpgFD0UUOSF0GpCc8+Q9veJAruYoQlpzAwLkSc0I5sgvhCXEBITILKR/I6+071v9lBKUVoSk4Mu0e+2QxqkmCeUtV2frtEMDTvAx1KMddt6S0ydo99jGS6RJ8R0dmOHAgXW+RrVrsKm2khacBaSVJQECbqmo9SopXHvMr/kAXk6lFjHNdRrTwPNRFTbWr5+ky43Nnx2OktKRDM0km5Z1zVq1KSItB19MdqIBEQ7Tpsa2whi1R9c4iDG25dvx/mMiMVmbHioinlwL/uSrHoTYnfa4ba6Je7NOoaWmYR+loikl8Zyj1RQwsjP4oxs/SDCXXXHZFV1wCJaYFEsiCY2Afb1Xg5XrnUS1uMpF156GCgerPI4R9M3kq57aA9CfVpEC4xqFBP7bU3gwyJY4Op4hZsjZWTN0MAYvlYX+QWbLEGMs+yMHWhwapq6SSp5asSL0o0djGEKdxqlSEwi0+siKtDGrZg/nWPYkQ8Je3Z8hk21YcE/Jel6HbPHVGZBxnwKDYRhiEjxYB6YAA+SB9hWW3QD/W+n8vRCsI7np7+gH3/OiKicku63kEumf/wkzTc5BMn8HHZa6fvv5RORR3vfhRepiTfCPyeTeR4M4YtgXxgPGF7QinucsJBiPFcdkO4/cE+Q8VN0vydaWNmfn6el+JRnKb59If4c8tCb2P0hQIg0U6nlv3cz0BA8i2cimxvS/z/mkH+4S2sWNrNkJvKQXbWD1lriX89SRmfv2z2arpGRzK7ZSSKaNwu1YwvVMt3sjcMbmCdzCfUxjpqyPMwlnc7LXPKQQTBtP4UYYMQyXmIVr2AMY7cbN6X4TRzUbmCR4QNqqq6ixnQ0UDGLbQCi5+1tj+vqGvEQw2T8uRPDeORQU55SjiWCIcBFfkFt4PEZMXQhgwfqjvSKXUVz2cuLl6WzGq9j/JOr/x97/xaq25qn92HP+77jPL7zPK21T1XV1S3cIkbEIAmEIhyjRIHYvpKJITigC4kk4Is0xlbjQNCVLmREEyHUOKBLGdlXJihWpHYQxpEcBUU2JqEl0SXV3rXXmsfvOM6Hd+TiGf//nKvUtqvKhIqgvuqiqnfNNdec3zfGO/6H5/k9/2+c6zNO7QnrdP27r6AA/Nf3/7Vq5n6a11//B38d/9zNP0f5RZSgGzqmb07gdDaMkS0yVMVryNHQfXph/vN/8J/HH/4f/2FlKAOcmN5FdzzknUM3dcgsNc8yQZCwkMlPmj4ph6a41TfJBof6oMEp08QUszwmKQMj15J1XzMSeY41Fx3iNE1q+pPprBQMkYvIuZ9XkVIITX5CGqWvRrQJ+sC9yW7QD7Phr6tJyggXPLzndbafvFI4qrFCYhM1+EjM9qW8wBuPyEWo2grdyILCmTklcyBuzICx3lmSwYET8cEzhOnU8mG3iTYs+uYpRhiE2OQbNSWJ1hTmlVxxbhiEInKVJEiwiBc0cnpgEfLB/1Q88UOejUMAC/bJTIp3PDZHotBmjusCC0VbHpsjKUdhrFskayz6ibQWWdGGNoQNSULIYiL6xMi7TbcMz6lL9CDFo+xLHOoDAKhkSIo1Zx0xmDbg5C1ewIOGz6J7fcid2zPxi25CilRxZGFA5NWxO+KxesQEhprEYYyFpc42iANKg5oTXuoXPJ2f4CePl+ZFNdbygEjDFC3oJ0jCBJ2ndOp6eY1VuMKIUZGUIi+J0khlLe3QviZzzttEKb4AToarrkI5MEXw9HyCMw6njrQVay0cnLLKoyHSvIRNuqFROVpTDjBWRA2GERaGVJ0fnn5IdGm8VJ7yOI2wntO7d4t3ulpPXKIF5giueau+wvHM8+39giZI61hEho7nZNEX1BrP968Upi81iTPd0MHCklM+bxN7T4LLKl4xsGZOnAwtG4tLd9GAm2N1hHOOeRh9S2DAxHNpajg5r4aKCZDJBdZZZJYSiF220/NcWOQWVjWnUpTIBDMJEl2Pe3CjYSfLRhGWxv4J2Ld71WdXXUUsoI00dVaSTiW0TSVQXadm3wUWiot9Lp8RBRHSgJ4MGexs4o0WOgIMAJj7ceku9ElNBofxgGRMcOgOCFyAz1efqwQuCRI8lo9MkASZ4EKWuVvcwRpL/4RvcB2yEdjXJN0M/YAAgZ69j8UjjCGlpWwoB+ynHvtijzRM8b2r7+GlesG5OTMZeyLBaZxGbNMtjdrNWaUtl/aCx5pyRpEJSQqqZJNkE3GqxjCt1BgWdCITucqYCfHx8vETnOI4EuogZzcMcLO44UZ99kAIovJucaeSRsE6ii+u9/OmNrbIJtY2ve8V3zz5SeuahVtoKrmtrQ6StCCdZR7C6BcJ1FtjojQ7oieX4lSecSrxmE2SMlkW7KiSXN5EqYjWXGkueNVlw+MTfCEAncZLQSzbEaWpwOowTmpAO1n9+9VgPtNe+BgySlMJHLGi0mgAr82IbK41V2b+/UMTfhJ6JFN5ee/e/r5CO7PWIogCnfz/LK+fX0E+dx/OOpQ9i1EXOESG/FdZxwY2UG2xGCHyMEdsYyRRotiuYRzgIocQoXZsp+6ETbzB9eIaq2iFaqww+UlX6zKBL5oC14trLGLSJNbJWgNwzi1vdtGsXtoLtXCGqYgiofDeI0kTrOwKq4STXfn9qr6Cg8N1do2b9AbrlOlkYpqx4I1x6k/IJ5q77i/3QEftnSDTTMvVf9VRI3e9utab71gdUfQFbhe3pKTY371Ley6e8YAHTNOEv/EP/wb+p7/nVbby46QUef2V//Kv6Co/j2hGRTBLH8YBBQo81U9YrpefFOTj+Hph/sv/q38Z/8b/9t/AMA2UWwx8CBnLB9QyWWpB5ozT0I3QhshSPvA8KOtYJdR4SvgFwM2JBH8cWrr7syhjwzB43C5vdW0qRA+ZYMSO/oCqq3CT32hyXzd2Ou25yq44nZ08J5QmwEP5oKEoeZhjmS5pZmwL7NKdUk+GacBiek2Q82DxfmpOmmT2+fJzbLOt4t2O9VGT/4SJu022GDDgpXyBtdy2WGvpHg+5SZo8ZU/iNLfWIg3S14mZsfju5rtEdwbcRjUDEXyw5P8uYz6kIxfh0BxwaS54t3pH/eb8IIkskzRDG/IzHFuVNtRDrebcdbxGPzFh91SfcJVdUWo2h4kA0MnJNt8yUXMoiW+bDZdJyuZ19CTJtL6FsTw0u6nD1HIyHI5sUKuh0s3LTX6DACyiJOBnFa+QhAlRdDPLWDYCi2iBd6t3eDg/4FgdqRUcybyXh8S+3sMZTtbiIOZKftbMNmOD58szoojN+yJiuM1T+0Qt/USznJ88IhORLmF5Tec2RxAFCMJAsYBBOE+WghDBECgDPXABvlh+8Qm3Ow1TPBQPaAfGyi+jJc71Gd9eGBufhfSxiKzhpXlRze4qWWnz2Y8sDEewQJCi2o/c0tnJIgxD5CE3AbIlywPKBJ6LZyySBa7SK6QJJ6VN3yjKdQLZ+b7nvVvUxStFJCQF65vLN0hdii82X3AdPHs9hNl/aS4Ig1C9I0mQaJFqjdVpqxhXhWcvmQMSUR/bmBP4eIG0TnGZLngunjllh4F1ZKEfqgM2yQbH9ohpmvD14Wtssy0xkJZ0pW2w1XV/5jIsE54HVVehGVlYxUGMyvOMXCdrNR+XQ4l1tMb14hpN32jeRmg5gBAWvKBzYbghyELK2vYNhyPbdPtqCI9XJFb5GpHhe3NuiMLMgkynr6NnHsYioRTk0l6wTbbw3tML0B6ZupvyuWgKogVhwM1JU+DUnhTz+s3xG16vJsCluaANWpzbM6WD88bi0BzwxfoLNtOWsfWfLz/X5+E4jRjNiLqrMZ25pUlCDoL6qcfKcaiyS3dYhkt8KJjGGi8op9llO3xz+obPmzDDoTngsZy9RXOoVGRJiBEJ6CJY8L0vHvF+9Z5pzTNX/lBRZhYGoRpit4stdeTdBdYS4Sjo3bIrsYpWqi0XbbEkhMpwQ4pdKfSqvlIanPcermWzGTt6oYq+wNPwhGF6lSwFQQBf+0+mvcDr0FOKVdE+W2M1ZVjC4KTgfiv5emt81In5/C/RpktTIpP1t8X2J///PEmX+1+K+7ehQ2812oLrFG24UGGccSqBku8nP5tMvUc/6pZYfgcxY8qZIP9MKCxvEYuBC/Tnl8ZDBgnS5PiRE3PvOSRIAnoYqq7ivfgzvn5+GnLrVKe5jJZks1pKF2QtYa1FbGnck4mIaKyERftUPOHh8oBDfYC1Fqf6RI1eukJiE1ymiyapxZ7rXHEtNz0NIFKgX2fXahKT+FvpmpIwQRrROHXpLxonvIgWnGb6SXXd62SNOIzxUryg6Apchguu02tcLa6wzSl3OZWcTnnLAiJyETJLwoAfufYOTUjKS7QmRmr+Hfupx8fLR8YrL9ltRyGLiqZr1KX9n/3j/wx/5Ht/RN/zf//v/vu4L+45CbNEW/213/5rOiHuxx5/8x/9TSyTJfFF82HRdFzpOkMmt7VWtZBJxCI47mP8h//5f4h/7Q/9a7icLkizFPvn1wvzX/yf/4ssbJxTA5ccSDJtbn2LsR+1yNgkG+14szDDuT1rxy0ax6qt9GYRMk/btzysZuSU6KOLvkAapKo3jV2sbHn5vGWVPIE3/6W7aPy1YLicm2UkxqjePwsz6tPntLl+ogQjdjHgoaxo0ZN3Y8ekzyTX6cE22ao8Kg0puzCNQeo4bYyiCFNHcot4I4wxSJJEDXrFUKAdW/QD8YXPxTOnzpZUoVW8wmeLz9B4/vwvxQuOHSUVUpxaZ7GO1so6PnZHmr/CDEn0upodJx6m40CN6r7e67RE8G0S7lMPjMIeqkHlWAAP5yiIsMSS02rHqfalvSgpQ7B7u3Snxb6DQzu16LueaLp6r9NuNzkNkzHG4N3yHYN1APUIAIw97oYOT/0TNdszJs0bJukFjvroznYs3lyMaqhw7s/YxTsWszMbX6RziUnwofyA1FP6MY58OEQu0uTe0IX679jF2Nd7ZAGn/ZfugpfihbrY7ArjMHKIMI7Y5lusppUax8T8LbkG55qEGgMWTFVLWVXqUt241AP1yuXAXATZ7iyShaIpX6oXDMOA2/hW3+9FuIALHB6rRxgY3Nk7NLbRzdCH8wfiHocRZ39WpOeECXlMWUIzNEp8gAU28YZN6TRqsySIQwuL6wUN21JUXPoL9uUebU/ixCpa8Tyw1IouIzLcy77UjZvonuuBQU/tSCLPMNIfYIzBNtni4/kjrLNYRSsc6gPPUJvi/e49+pYNDwyHEM/lM4w1+DL6kgODKMPH4iP29Z5aZhvqBiywgRoem6EhAz3dAoAGlVR9hWW0pNmwJx3qM/cZjtVRSRVNT2pY2Ze4jqjhbyfKqmAYziYkr3W4Rm5zFvSOG7LB8N5exkvcLm7xXD1TAoIAm2yDMOTGZZEsULfc6I3jiOfqWeUw1ljcLe6wTtb4cPmgHPLn6hnOkmB1rI8IwxBd1yHLGFJVtfRt3ft7pC7FJmVw1ybdIDKUkTo3G1gHSjlfqhedHEsh3PSNFvBSzMnG9Da/xTJa4tgc8aH4gHNzhjWWMsK+w7FmomdoQ4wTsxTEkO3A66QbOyQxh3yy0RgtNenFQE+DEHrKnijKOGChHFuidqu+wmPxiHZosU22qguX4lCebWEQqhFe5IQykRa/joRmnZoT2pGSSLmvxom/u/hBWtBQLAE6ctbJM9zC6lZa5CwhQmB8wyY3b5jj3muBa2A+mRS//d7y36Uofvv3ibYb5lXiIfdz73sdnL79nvKzvzWiymQfBkqQEb366JkL8fbPenBT4Cb3T/3d0iQoZ3we6EkTaMyrrGbwg5JjzGRU2iMbr9GPqEbWEaf2pJvgfyZNnY+XRyBh8tyluSANU1zn1xCHfhIx0KMzvIiyMFM0lkwdRb8tTM6qrUismJh010wNRoz4WHzUwIN1stYPc0rJLBfzXuACxEOM83TGeaC7XMwvEyasohXO0RnVWBHGH6QYBk7GTt0Jy2QJ55yiigIE+PbyLXbRDl9uv1S2+mP5qIEHi4Br+yzMyB4eWj2Ir5IrjN2IU3nSdczKrRCYAIUv8Fg9Igoi6oC9Qd3X+Kb9htMTE8Bbj7/1g7+FfmQBv6/2uM1v9cLaJBtdv1trcbvkdL1qKjUURkEEm7JbLfsST9UTzY1zgMc6XuPcnnnAjwP+g//8P0Ae5Hj85hH/6h/+V/Xzvr1iimA9khsrsbvKIw4GNYkFNlDTq4HBpbtQnvPGaS2HhMVc/M66ZWHyhi5U+oGF5WdWn5FYuvTfL9/DBAaH6oDn+lkbr7IvSfoJUk3PLNsSiOaiermgHrwvcZ1ckxYxr6kB6OrzUNFZn7pU5RASe112JQyYECnTIgPqbQW9Fxje3JOZNLpeDsUR1KoOA6kE54YUjKvsClnAv/vSXRg0kyzxxeoLvuezyejYHhmg0fXYN0y6nKZJzYUizwmDEGYwuMvusK/2nASECeChescW3PRcmgvONck/19m1yoIA6GRBKA5ZkGkYTN3XXFf7AS4gPWcRU1d9bs/Ew83NSmQjHHpKa9YZpWCX7sLDEgZP/gnbdItVzJCTyU8ohxIIgFWywnP1TKnEwLPim/M38N7jKr1Sk6qfPMqWKYPWWn5GfYuH6kGnSdcRBwQSJNQNxJ7Jlid0ocZxvzQvfN+9Jzayb1Ujf7e8w8EeYGGJyBtq7JIdtvmWErsgx3P1DABYxUwe9J5TrcmzMTMgaenSXpRh3PRMhRWWcuTIXP54+UgqxRxHn7gEL+2LXm8AtOkV49c4jK9aYoRwYJP6bJ4BD2zzLYkvAcNPXOBgBvodTGtwlV7x75xXzcM4IEsyfWhbY5ncmIX68PMl+eQWszZ5RiXK95jAa0ikOPDQIKjIRWi6RqU2l5bmuixisXusjwhdiKfyCc3YaKDbW5pCGqRYRSv1IoQRsaPbbIuH8wODrdxCt5Nlx/fnsXxE4hLc5DcY/IBTc6JcJF7gNr7VQjwNmTrajz288Xi3eEcN99DgUB+UniU878EP9KY4+qPGcUSJEl3fEWWHEct4Sf9CmON2eUvtdPnMQsGxKbh0Fw0tEy15GIQ0382a4hDceI0Dp4PSDEtU/EPxoDKFCZPqqZfBkpvZkQbLb7tvmVJtAy34JIo+HVJssy0WIb0PwzBvTW2AyjLvoI05VAEop7FgovM0Tmj7Vs2Q62SNaqiwzbZqrHu4PODYHtGjR9+yoN03ew7xZlTtCvTuSDquNRYucLhJb5Qh3g6vKMRtTOiCUkJcQG9IxxTuCRO6qSMNJV6hssS47qs98ogMdw23mUaVw+RhjnAItRnpfa8plYIHvcquUPalJiGvU6YQt0PLz8286uxlwiyFuRK28DoRliJVptQAp8zD+BpfL748DceZOfd+8vB21mqbQK8R+f4CzBimQeU+cp5IcR7gVSL6tggWo628Jv9q3JTtpMhfgNdoe3nJNN6BTZzx5pMpufzeP06dkfdCNhkyTZfE67dhRLJJkOajGzvkliqG2tfqj/pZXz+3gvzUnqh5jTI614cWj8Uju5038axyWMjLGer52r5Vs17ZllglK2ztFv3Yq7whcxmODY2Tv+fq98AYyiMQvKY2mYATFA+vsd7OOsXp+YlJee3AB+kyXiJyEY71kaZE47AIieyDoRmgG4naiqMYv3r1qxjtqMYl4SDbiSlfsioHoPrnMAiZntgeUDQF6qHGTX7DSe/sGA9tqNrbcWD62aFiStiXyy+1SxS99j8+/GOsQhZJh/qAq/yKK2qJop5DFfIwx7eXb5FEiU6JnWOhLEZY0aGu0pV2i6eGK8s4oCnzy1/6Er/1//gtPB2e0JgG3/ul7+F2easYLTFeAa+IognE1a3NmgdefVQTU9EXWEdr1fPJgRlYJrb2vmfqHgKs0zVOzQlFVyhacRWtENuY6z3v8Vg+YrjwunNwakiVBk8eis44NY0AvKGjMEI6MAk2mDgBTsJE9YjfHL9B1VW6vRBG7+AH5e4XPUOGZNUr5IDH8hEAY+/HaURqU/TocSgOMNYgT3Ps4p1OVtMgpTxisvhy8yVEo/pSvyALuDZ3lmvFyfA9+3j+SC14RPY/JrxSReYEUSnQ+7FnMbyM8Fg+0k1veNhHQQRfeU1mfLd4pwa/ZbzUrYsc5rtkh3Jg4Mc0Ecs4mYks9Nm7EdqQiaM4YZttib8cWmUWL5KFhgNZWE7YhHxjI0zjqxZyxKjG1Dgi2UiM26EJEU7852HAv3OamNAaOCb/xi7WqPG6r1lMzNK13veYWpq1fEic16miFlsmYsM0aES23EcRIg4MJsomtslWg8OcdVina4a9zISadbrG5Cfs8h3fi6klrjVi4E8URNoQH+ujMnYnTLhKr3Bf3uNQv2LX/OTpI5hGpC5VDe+poZwomiJUI1F6Td/g1J0wDLxuV/EK7xfvYSqDuqkZcBVY/Mr2VzQ1cBh5DdUd+eQ32Q0Amp/SMEUSkqxxak7aJAomdJqI3Du3PLPaseXmNIhxt7xjM+JHRAElIhIpvwgX6B2vh8AEsM7CjNzsdRNlZ4eK5vdttkUWZCpFlPPnZnGDYRhIFnKW0pK2wk16g2N7ZLPa1mhGbrjW4RrrdI3QhdRkuwjX6TU3vHMasxR6kYvwbvma/NqNnYaMXaVM5hW5wCbd4P5yT/nc4gbreI1Ld8GTf+JGdHGnIVT7fo+n+klxnZt4gyzJAEDxj5t4A+dI5Nl2W8QRky7X6Rq7bPcqnZhYMItvougKRDbSAJTYxXAhmzEHR++NC3SS2g/cTEZBBHgy/IuxYKIlLK7TayJYew9vPJYhDben5oTWt4inWIu/JEywNVsdcoQ2pNzHxBimAcVQYH/c493yHQBocVj1Faq+0mfbD48/VBylmzhsSFxCL0ZzgJvcJ/Sy5bhU4MIyXqpMLrABzuNZKSUAG8uDP+iG2w5WOfrGGMSW27SPxUc1ut8sbrRYlin4S0XZXDcw6fexfKSxO2MeSdVXCBDgKrzCuWa+Sju0WMQLolj7Eh06SpJErjFHvhsYbTblfXrL0Bb8oITiyM8W2ECTUuX+eVvAigcpcIFyxsWALGx7mWJP1L7ozyWDNAD4N//X/yb+o7/yH/EzDkN88eUX+Nf/l/86/q1/+9/C3/6//238K/+zf+Wfqht/7d/+Nfy7/4d/97U4n+sGaXbk7Hs7JANei/XRjCpFeTuNlxpEtgfCHtdC3dOfIF8/TnwPRD73g+EHuMquYCwpPD/r6+dWkMvEux97tGOLq5Q3Ue97Fk9BrIZPZ3lA7Ks9Akv8Wz3WKOsSH88fsW+ZqraNtzpJkbWiSFRCE+rktR1axaWJkU0oBDLJk4K9GRrskp3i9YyheS6Pcnw2fYYoiJgE2e7RDXTnm4lfEzvyWuuuxrk5IwsztF2rhruu7bTbwxzbK/p0Z50GXIwTMYrt2OJQH5Rm4SePx8sjnuwTpmnSifa3l28RN0Q4WUuKROpSLJKF4pj07wWUNS2hFMJMl5CObuywilevHTM88oSs9aZvlLEs9ApZ/3zn+9/Bd8138VQ+oe1ZPC+jJYq+UP0pACxiGo6OzVEJB0q3mBskO1kUXYF6ZCCOhG0kjivGsi9ZlDd7XJqLXkeid/agZvfj5SO+WH8B63nDfbb8DJf2onq4YRzQO64sxdgkN6cU0tM04Tq7ZpLevPbvxg5pmGIaySqWdZdoWff1HlEQoe1blF1Jpm7IQJRVzIKvGsg6fygecCyPyOMcYzQS8dXQyR1MAZbhUleegjf7YvuFNpz92KupaegHvAwvitGUCW3RFRinEbtsp6SPciyVTjSMvC9iR410HuXY+R2qlhrcLGQjLQQIFzhcx9ewgX1lsZrXRMbIRFrwBwhwHNlsOThNGc1jIsOiIMK7xTvcLkjWacYG95d79RokQYKn6gkNyGOvhxrvFu/QT71eVzKZWsUrZFHGz81PWKUrXFny8yW5tGxLJSXJQ8SCB/i+3CMMaf4SQ27VVTiWR4ZXgbQHC4vGNzi3Z04Cu5rEG9Bk50CyxlP9hE2yQR4Qq3buzsAEXOVX3DS0FzxdntCDU911QjzjS/GCdcYN4bE+Yl/vGXIzvSYXysO36Astci2s4gYDRwShA7c4ne/UrPk2oKdoOeXv0auBPIsybUh2yQ5jRBlSYAOEQcgirOW9sYpXihk91Aecm7Oa7Hvf41gd8VQ/aTHuPb0hzcgJ8ak6IY9zdIb3zqE+oB96GGeQuNdiPg1TRU3mEQk6iWPQi6AEs5AZFMfxiF28U7qRNAOClCzGAlc5ZYgyec8j6niTKOHzw3Da+1n+Gd5v3vN5MBltvEIXavx3Hs2pm5bTdfFfBFGAcKCkZRkvVT4lk1c/eY1pF0Pqpbtw8t8zA+Dd8h2lmdZSS++o5xcajhg/kyDB5CZlmwdpgMhEyNJMpT1lW6KcSkThvFmY/45NusGxYoMnxKcsZCplEAQqwUmDFMbSR1M0BZ6qJ9yf7zGaEet4zXAjw0aq6on6u8lu1JQ8gSFCQhzLoozNxCwrLVoW9etwjafiiUXfNGCX7fR5E7hApVVxQLSgBAo9V89M0LQGEcjoDyder5OZ8Fw/49iQu29hNXwQgG5+NAAnCF4pJI7XUNmW8NZjciwK64HNUmB4XywdfQQfLh9IhsuuSJCaX4rrnBGsbnodALVjq0Wv3N9JmGAVr/D5igSZp/IJp5KJ1jLZZjkxqdRCpCzGzoX1iNd4+MnD/qPfAc4HBEJimQeiGAc438OtN+i+9x39vjJgAfCakD5PmQUXKNhqAReolnveMsjZ9C/9T/4l/MZf+g0M3YDf+hu/hX/nf/fvIAgC/P4/8PsBAP/Ff/lfYLlcaqGdLbJPium3UhUAnKhPrzKVaZpgnf1E/y5f85Yy4+AUEfwJ2hCvk/jA0vc2+VnaM2fQFF2BseXW+ja/hY/+GZSsCNMZE9fJ64Tmr2DkwRyHsRbj0nU1Q4NltETvqc/tpx5ZQKpE1VZookY7QPngl+ESeZJjNIwUFzf6vt7r2nQR03i1b/YIbUgT5xyoEtiAxbsha3wRkiggptDRkznqJ0ayv1+8V2D8MA1wnhP+eqC2M4gCfGY+o65v/r3qlg+PdbJG1VeILKdqWZSpI7/uai2oxSF/qS8YQXe3hcUqIwM9NjG+Lb7FCSfs0h1W4QoOTuNlrZ1pIc7pQeBH3jiRjV7ZrHMBKvjF2MYo+kKL5CwkmkkKrnqslfspqx0D6kLTNFVCxqHmJL8fe5q9QpJqdtlOmxCRIU2g0e42J9vz2BwRO5q4ROs3+AGn+gTvPTbxhjzlocR9cY+iL3CdXSOPaBabzISXgqmPt/mtTrPKocQ6IQKzaivl3soarRs7nbZLsW2txcLRQ+C8Y3LsvG1IQnJiJfL7vriHhVUSg0hhZBIjjOTn4hn353tNJa17XjfvVu80xKQZG4ZpRAuUpkTf9dzSzKEZYcXVsDMOh/6gkqTQsBBIw5RkkZBT49Bxrd5WrbKUJQp4GS81OEm2WY/FI4kpcwLuhAmJTWADEojqrv7kISLFRtWx4chSFnfngdzj3vdKShmnEV3Q4W55p5M5STS9L1iUL6IFtvFW7+XABchchsY3ZAQ7IvTecnfHYUTrW2SezaZEy3cDcW1ZyD9f9UT9CY3jqX5C1jOCPbSkxoj280fnHzGKeyZBhJ7hTnXHguDcUUu9CHhWHNoDVuEKq3iFd4t3+HD+ALuwmry4jtecvoe9SnuM4UOu8Q3CnluxOKQJTnS8Ih+Ss3IVMZVUiqvQhngoHxhwFsbKJ3dwNMglK1R9RdZ6ewEM5VlhGAKGRkHMOmWhRgRBgKEcWPxN9PQUbaGUnnW8xiJaII9zGo3nrYMYxPqRtIxyLLWhz8Mc4zBim22J//MkkIh34HQ6IY5iNm5zgSf30jAwofWLzReIbKQhQXmQ48k/ITYx9fXzUEHCfYSWZSb+TGmYqhlTGOvP9TPqseb2J9pikSyU6X9f3OPcnOESB284Ld6kG57JhrQXkc/Jy1qrG1N5P0Qy142dGncBSg9jF8MGNGq2Y4tTfUIURPhy9SUuyQWn+qRb1W6avSkxcYWP5SMW4UK53L3vqdeePM4N0x5v8hvdbrzUTBttx5ZhaMlCU3zP7ZmbX0N5Zzd2WGUrNS474/CD/Q/Q+AY3C5qpy4EbR1gOt763+R6JI7PGeJpoyE7CBPtyr8Zf5xz6ttek7K5n+mkapEgDnt3yrCnqAh/6DzSiTh4v5QsTgRfX6KZOo+q99zgPzKe4Sq9gYHDqTmg76r0NjD4nX2pq2AUfvEpWpLnMLPLe9/SgTB3KsYTz3LKWbamDjKEfiEWc07xl2ipaY4AeNAODOI1VxvRQPNCjBINhGOBCDlLkOprMhN732pQOITeU1lo1JIo0QzYeIkscp/FV0jp54B/9I6T/g//hf2e99vz/+tuYvv/dTwgjb0OF3vLDRQaiBlMhb83BVeIVMdYgjmPc3N7AGos/+af+JP6T//N/gr/+f/nr+Bd+/78AALi9ucV6s/5EfiNNgejVAeh2BbPnQnTn4keRhkDAAwBg3vxLEInyO8g2UaQ2Py79URnPOMAbbnVgoDLbn/X1cyvIAbqbIxu9Yr5aHiY9el1DyMHbDWTbnls6nGVtEAc0agrOKQkSJQU44xBHMTbxBpHlalc0l2IaEYNE5GgeM4Za7GmasEk3bBrAlUvZl+QOA2gqpnlWQ6VyCWEi7+KdFnP92KOzNI8kAeOjw4h0iHZoESPGqTxx8muIlpuCCberWyQdp3FlX7LRGNiFYSIu8DJecJvdYhMxdOjcMZAjMxlup1s+KGOu2KuR0wkJmZGVvCRMSfNRdiWZ7UGECVwhi0QhNEzWqweu72PLgB1rraL5/ETpTx7SMCVEiNCGODUn3Bf3eLg8wFmnIRwv1QtW8QrX+TU+X35ORmtXAw7qpBf29y7dvSZrhjmiIMJj8UjDb5ioYWwxLHCqTnioHiCJYX70eJ+/J8Wjq3AKOIlbxkvEIVnioQ1xrs8ox1lLPq/ZBTloYRndPrvAJTZXHrDN2KCdWuQupyHRsYjCxJtVmkVp/P7x/h/zYA1S7Ks9Plw+oPMdlnapW4t9vcdni8+QuUwpLTKZlEAe6eL7oddmdBgGlWx0fYfBkqtreyLVrrIrjaEWXr4w3vuJk3fhSA8j6SBSmDYjiz3MU5VuZCGehika2+BH5x8hizLcZre6Po8cjXH7ek9DmQ3QWXKTX8oXNSSu0pWuROMg1sIG4J8tu5Jx7UFCysU8PSwvJXrTY2mXisU6t2fsqz2sIyXkUB8+CQuJggi7eIdLSy36MA6Iw1gfZILKmjDpdKTx1Hs70OQsrPZ1Rtzok33CXX6njVwc8h6DBwbD9/TD+YNuKJbRUpMlxWQoxtxwosZXjJ3LeIn3q/cITICvz18zxXBepy7DJe/Z5ogBA871WcM5HOin6MYO3UQjsqyYAxegrbh9q/oKaZhyIGJC9Y4skyXlYn2JDDS3TeOk03UPyiayKFO52HV+jW1MPrk0L3mS6wR7zEe0RasP65f6hcFsQYDMZijaQlFyjWnwg8sP8Pnic+yynRo0m6HRLIfRj8SqBaR0tQO1/4fygHN7hg0sm7J58yfTtbqvdeorONg8ypFGKcquxJ27o5l9JryUbYlTdCJVoWGugXDwb/Nb3C3vNDnaWacMfXnJM+2trOAt+elt4qNI0CTa3XtO5DZuw6Z8IhnkUNM3IqbSNEjhnMM23nLQZRlPX/b0qYzjiEt/UTpE2ZbYN3sUXYFzfWahOPOm0yDFNt7ioXrANFLKdhPdYLVcYZtu1e/xXD1jnTDkR0KP8ohY4WN1ZPE8FFh0NLcv/VK3wYtwgSIoKDMDpW6rhNz4uq1VCx+akNsTz81kO7Rofcsch7mBkwal7EokLkG8iPHx/BENGtR1TRlLxM+5bVtEcYRlulQpnXxG4icJgxBJkKCwBbqu02FTFmQIDdN4nXPoew6IdulOtyztwOtN/Ejd2CEc+Bx1xr16qmZzb90TqyuSqrKlxHGVrLBMaFqObISqo48ttCHW6RrH0/G1vJypJmZ65XxLESn4RHmm27L+yYq14qImbS1I5zNRrlWZIov8ZfKTFudKM5n9BCL5kPdb6EhpmmK/32uhLaFe8n6KTGWYXmkwwzS8Sk7mxFCZ4KtmfC7K5bMTeotIcN4aYt/yyPXPvFEHyLNWtPJxEOv5vG/2iProp6qD375+bgX5Ol0DAWAdsWzy4XSeYP0kSLCv90y9ai6cEnVMqBMNd9nT/Z8GjChPgxRP1ROjfMMMtws6r9cRV73DSI1g2zOifBktNYZXNLESdx3YQN3yVUc97zpeM2ioL/Dh9IEs5ZjoM5k4LBOaa2Q17IzDx8tHWEODmKTsxUGM++KeKzVfo2gLde1exVfoek6H75Z3WiRlIcNDBAfoAod1vMYm2XC6H4Qo21JJH4LJmqZJDWqreAW0QG97da1Lodn2LVYptxXTNKlT3RqLquNh0Y1EMJYtkwuLvsAqWrHQD4JPbjC5MUc/YsCgN9FNfvMqDZhxRmmUInaxmh49PJaWRYCzjkE8bUFtmPeoXU0jVN/g0vLBIuQK21nsO0pErsNrGMcDCpY3WGxihjYZgzzIkUQJv09zQWc6GGuwcAvcZDcYMarGOQQnMn70iONY11uRpe7WWYdluMRNdKObh7ZvaXCB0WtapCxixrs/3+u2IQ1oAj13Z0ouohWKpsChOSC2sR7keUyWPfCaVNai1cnJuTmjNzQTbtINSQ4hA6iyMGMM9MSNzSJeoB5rUmGCmFNQQ/mGeAziMMYy4oo9DliYSVx16EJs0y1OzQmP1SMTFZMtPDy3Uo46+l26w0tJk+M6WWvxs4gXGIYBjzUJHot4gdjFyMJM03onkL+7Sefmujur5i9yES7NXIwEIYZhwKW7oO1b1CPpItfZNW4WN2hH/jNnHOquxqW94NScdBpSD7VO7G8WN1ylOz5IZf1aNAW88fhy8yXqrkYSJzRDd6Rl3OAGox8RxzNTPWCzFwcxUxvHGra3aNHiyl1RimQDfOg/kOQyE3PavoWL6d/oDSdy71fvFWG5iZnIWXc1mqbB1fJKTbLdyOu46RrkcY4MGaO6pwaRiRCFXNFXfYVDeQAs8H75nphMl6L1reY/qAFx8hjHUbFvACgTDCI1m0owm6QdBi7AvtmryXwdr9VcvEk22jgmYYKP54+UHXhuwLYJJ/MeHm3bsuBPGF1f9uTa+4kZCFVf0f9gGZku8gfF1M541U3M6bWYwOOAfzZx3KQEYEBU6EImui7Xij28L+6xiBeqsR6HkRz2iLjcXbrDl+svNWo8DVMmjoaZTsjboVV6hjFGp6cqTTSGyNOJMh55ZqVBymfXfM9IUd1NMxHMk4G/CBcqnXCehKm1W6tZPQ8pw/nh5YcY/Yjn5lnvUwEVxEGMl/oF22yLESPKtkTnOiyCBXzgsU22nPwHITbJBgD0mSyvQ33AqTlxcghu2i4dk7SbqdFp/dvt4ybdcNM7S/hkUz0MLLi89xjsoM+tY31kGrNxOqRresrGTEc03dXiivr5fIut3yKYONhJHE3I6+Ua23yrm/eX6gXHlnkoV+kV9tUekYno/wjoC5AC7Sq7YtBXV6PrO5z7s26vJNvAgKhk0XwP4wAfvrLAhTt+ak8ccBiasoueYWUiJZvAQLzYxLpJbAYOBXchp/gyGZeiWaQvxn/K6MYEBl7BwuEnk1c46+B/TMoh32ucSJJ6ywDXAtq8pnzKSznlb6bcgQnwt/5vfwv/6d/8T/Gn/jd/Sr/+9/7y733zV034+/+fv4/d1U6bD8nVkHrt7Ub2LRVFp/XT688gU3GRqAzjoMQWaRxkoi7fT8gt8rslASEHWZohj3Oc6ldv3M/y+rkV5MM44Dq91je+9726hmVNJG+sTOpkKln1FZIwQetJqMDE7ydYo02yIeUhTDRx66V+eX1oplzDu3ZeI5pP0TbtyIeRPIA632nS2yJakCGerpD7HOtkTXOmb9H1HakQsMoYF9OMRNUmYaJhNtZYJRBEQcTiwjCo4tydmYI2Wdxmt1Ats4dG66YB16txFMM37EiTMFHEUxqk+lCIHANEYhdjl+wwDIMyWBPHGz6Pcg1l6EaGkkjKYzVUWAQM/XDGIV/meCqoXa+GCjEYd71Ld7jOrhG5SLFS3dBhCkgjkJsniRIt1gMboBs6pq3NkcDt0CKKqDueRk55ZYrUDA1Mz8kKDLWrm3QD4JUxLms5kbOIXOP58owwCpEHnLJ4sMja1/QArNM1zs0ZoQtRDiWKtsClZWrcMuck/dKyEdkkG2zSjd7UdVdr2qKfPNqOunlJBx0GPjSSMMHN8gbn+kxNbX1EEARILPWtVcPiPrLstAMXoPUtvlh+gR49NvGGqYMj37NltFRm+DCy4XTO4VJd0KPXKfaxPQLg/dUP5EtLwmjf04z4+epzDMOgmmkDg0N9UCTf/eUel/7C9WtPLJkcXJtsg7iLlSgixtR1yOn214evcWpPGkRiDWOG1/Ga0qR4wQlDEOnBKIx/ay1xnO2k7POiLXSKFIVEuonkQgxfVVfxvgGUZJQGKQ7NAU/VE749f4vRj5quaJzBS/mCq8UVV73ztHEYB9KYDBFtq4iG5j6gMc/lThM/RbcdGIajSPPVDi2LmFnS8LH4yPNl7BAGIQvtuZG7NBcMmHX8ltKiyb6m1MLQgOwnT7mC7/F4eUQe57jJbnCyJ6BlwSwTJAOizq7zazWzdT2lSXmQUzIz61Qx0aBuvOFK1iWY7KQSr2NzJFrMON1O9WP/+oAG9DMMTKDvvUjMZIUemhAmMMjCDJuM1KfIvQZ/CX0GFrjL7pA5MqXlGSLc5GW0RGQj3F9YNEskuxhalQZhQBLGfD4fm6OGOUkmwCJcaDQ9wGCcPu7xhf2CsdyemxcT8lnhJ8+sgvRK37t2YNy6s06b2nbgFqIZGp36lT15/bGjHFBIUv3IaWsapVhZ/qy+5YSzHEoiFjNSd5ylaVMweAC0aUVEnLAkQIonQ6Wb5R4dOtJVJqNbgtCFaFpeewb8PW/zWzaPjkVt6EP16IgEVTbUct+cmzMGvJodrbNYBtykSOEa2ADnlh4rMUzL+SfFaRRESF3KZ59n8dt7elDSMEXds7nepTv93qf+hK+PX+Pd6h126Q6xjdH6Fp+Hn2MYOWiLQm4xq6Hi1rQ5YZ2scbe8QxYwmKcea3RdRzKX5WeTBRxq9BPNph/6DxjGAWYiBjW0fD9FXig+JhioP2XwA71DXaWyN/n7jvURd8s78rSNU/Rh6EIYZ/DV+itS3/qzyuz85FXGKfef6L3fIgoBvE6Wx58sVVIKYKGWDOOgz73e90q6ejtdHjw9RsJAB6BACpGy/NZf/y18/9330fccHv3x/8Ufx6//738df/f/+XcBAP/x//U/xma90Tpxt9vp95FiP3KRSlnkd1cpyzzJl6Jc/i0TeZGeSHEvv6dQ4N5SXORr7Zt/ee+RZzw7syBDFVS4lJef6D393V4/t4K8972ynCUZTiQml/aitIZ2aHFqTljGS2ySDb4+fY1u7PSB+3h+xKW7YBktNfK7DEokUYKFWTDwIUzRVA3Zu1OHoOcUZDKTrtmtsTDWqNZVggIwsy+bsQEaFrASHb+MKStIgxR5kKukQ4gjgWOokXTKonmbpolGx5E67av8St3KzdCgaAu8lC+6Ddgk1EWf2zMxb63BJtlgHRPh6OCUX3ppL7zpPEkdMHRXRy6iDGCW6Xx/933EUYxdvIMLHL45fMNp0+yKj4IIxhlEhvKfsR+RLTJq19sLHooHVF3FQ9RyGvH56nNi+NrzJ1QHMTUVLdNRi45BIFmUqUwhdCFeuheat+Y10rk5IwoihhEFlGhIIIisgfMw1wlZEiY09LgUN9kN6rbGiBFjN1NSDOACGkRFDvI7z79DakNfYBEtsK/2lGgMA+6Le4bRxEsc2yOGafhEItH2LdbpGofmoNH1ZU9toOgxxdXvJw87EdF4u6D+URBfMo27Sq40cGAdr5UDLJq4D8UHxm/PB7lMT5bJUuUqL+ULDUwuwueLz3FsjnTuT5RMjfGoyX7OOU003Dd7WMM0xSSjNlxkKIMf8Hh5JPZwjsFex2tNwczDnBKY9Arr5RpfH79G3dFPIFKdfbVnYzuTHOSAFr55GhB7KpPWsit1+u0dAzXqodZ44nAk2rSbSBhIA97DwziwuZm/fplQOrCv9vSmzCFQWnwFCzS+wUv9AjMR2biMlwxFqZ5xnVxrw5EHNM6lhmZC772uP7MgQ+hCDfGSlN9DdVD8JgAG9iRL1c6KcTkJEi0cm5KmW5ENDY4F7CpawcISrzcnnopOOnYsNuqhJkXKBLjL7jgZ7lvd5EgYWtVXWjwLMs9aSxPkSBlR4hJ0jtpd0Z5LxkLmMgxmIJp1RiR2Q4c04hDAWBYcl5YGa+HV9yH/e2wpBTTGUGM+B8DVXc2kyvlhCVCaFISUXCRhgmEYUIy8bgBo45QnNDk/FU+4W96h7Vt0nprszne67ZOmQIYO63T9yVT22B0RWg5ghO4T2ADv1+8xjqMWGs449CDvf5tusU23lDoIEWgOjvLe49SdaHCc0YTGzHSvORhoGAclbgUmQNu32OU7LEKmx75UL6gGFm7C9fcji3MZ1lhr8bH4iHW8ptTHhXrOSRhZ6CivOlUnauaTFPEY49AcMGHCqaE0xIAYTyHbuNBhGS2xy3Z4rp9RNiVGkJaVxzkcnMa/ywZk8AOqkQFfxVTAweF2cYtNxs1I4hItyhfRQps0kQ9g4mT9Or9WGIMxRocOkYkwWA7tVsmKmR/tBdf5NZ6KJ8Q2xmP3iLZrgRTK4BcWORw3leuUQ7Wu5zZ5k2wgpkprLL7afIVvzt+g6zsSXOaC7dJelHcfu1h9FPVQvzYghshWaVhl42uNZciU5yRbvl4SZO+WdxgGNsxmMrjJb9ishvTTCJoPE5TE8olOep76TtOkRkszGZUEaRH64xPv/4aXnIEihxTphxhz5XvJNliKd8yabj/OCZgz/UR+1j/8R/4w/r3/47+HJErw/rP33NzNnHAA+Oo7X2G340RcE0hnXrsMWuR9A14lLTDEJr4d+kmBLdsWMZ3K95BGSSAOAjcQw7abnBblotlPY6o7YkcMdOISXMZ/BgtyCeF5rp7VrPn56nMskyWnCD3TAy0Yoz1MA4qepqJ9vdfJo7UWm2yDbbLFJmXQRB7l2MQbLCMSGSysdqLLaMmi01KiIclhDg5BFDDUZeg1pEFMncFETnHoQ3XCVx1xiaLFlhuwGzudGIwTQ4cKFKrHG0au3Vrf6mGyCBaUhszawmZs0A+ccgc20InmVcoV9yJaqA6qHkgekRQ6MYg2Q0PNXZSrVl8SxK4X1whMgKvFFeOFwYnYc/nMYtdzKiK/Y4sWdUuj1eAHjYU3MLo+W6drfHf7XT7MZzxU73tdEylFIMzwVD1hf9hjspMyWS/NhUahmXJzqk9YuzVNj2OvyY5+8sqkz8IMSZBwUuxYmA5gxHAcUloRBzwEl9GSDN+uxDhSd3tf3iN0ITKXoXc0TaVhikW4wI+OP4JzDotpwU3LNODj6SNuFjfaWMRDrBODPM5xbI7YN3vEJtb43bIrNfDEgcVQMAaqt+/GDr6nJCsMSEwIbIDKV8q0Hv2ItmfIxtfnr9H7Hrt0h0264WcCTnCrscIu3BE7CPLY8yTHuT4jcAEWju915zss3IJSmaHltsoYLKIFJrAplUjxqqtUjxzHnNaalKmxYq6OLP0Dh+qAp/KJOD8zF8ktta95mCvuz3uaoA8Nmbs3+Q2ccVimSzg45UjLJO9Qs2BIwxR24plwt2TwTtmXek3ush0nRVOveK6yL9EOLdYhJWd1T4lY2Ze4WlypRKQea9VfFl3BibcJ1KgYOm5W8pi/B2bDY9VVrwbMyTMafGATcmyOJNw4xwndrHuWGPdze1YTeGTnGPeR9JM8zPXheW4ZAY6ZXCPelyzm5HmTbnCqTzplXCTcZslU0E0O5UiSjFz77dCin3pMA0kE/dADhH7gVJ9wrs841kcmGLc0XS+Shd6DgpkT4+w23eoDLQ4oq3sun3FuztS7uhC1r5VfHAexFsZi+B2mAQ+XB1xn1xr60fQNUpuqhMsbj3fmnQY3FV0BWFA6lwZ4KB50s7Wv97jJmI7srFMGvUwqA/cqUZG1tGybqrb6RL6I2dcgGD7vPQJPqV4WZUrP8JNHilT1qPt6j7png9oOLROlLTciRVfQKxAwJKoZGjXtfTh/wE1OmpQWM96jaAsM4HRdiq/IRijbUklijwXxqaJDx8Sp+S7Z8Zz1bLqu4isam/sG3nqc6hPTLOM11vFany2RjZSCpFP5INVCa5hmyUjb4Nyd8cPDD9F0jeqV/eRp6J5laO3QKud5nayVqS/F3egZNCYa/KIr8IP9DzQNMwnJ029ayjbEn6VpwnNYl8gDx3FEFmW4SkjSKZqCpvxogW7oEIQ8Z3bZjpp7T6ncLuPE/SqjHEwGKDKNjlykqaWdJ85yBLfCeZRjm23hHL0miyXP1nN71qyAfuR9aCam8V7aC+IgZlbDnHYsPieRjVlrcWpPKPsSTd9g7EcspyUhEpPTmPdhGjSk5scLT9FVv1qN/9tfox/hx17vG/2eM7FEvreZjG6jAhNocS6bd7kmRcaS5zm++73vAsAn6MK3FDj5uyTRUzaEMiH33r8GGr3FPVr/SeMhhbhsCQSqIcoLufbkfpH3UIKjFP044xMB3lNhyEGcbLT/mZSsRC6CDS3eOUZyv8V2ZSHRNoGZdVjWoGkaTgXn5K//6vJfYcSIq+QKN9kNJ1RxqO7ycRx14n1sjngun1ENFVbxiiSRuVNsh1Yv1nZsUdc1ojBCbF9pBIKAg6E2ruhIE7DWqhFQEkTjINZJSO9fDXaYWc+LaKFmyByc3CSOKaBZlLEID1Mc6yO+s/4Omokre2MNvr/7PnYZVzb7eo/QvKKj2r5lrG75hKv0Cttkq1pZYQ8PI6cR/dTrFuJQHXDuWKy1PTF/h5px6e3A0JdpmpC6VAkf00Rjm+ARZWX2ofyAwQ/43u57+iCIg1ilKpKSFzuiqaqxwjJYAiA9pegKxFGs2qzCFrjUF+V752GOTbph6uqMHAxcgE26QTvODHlD4s654ypv8ANul7d4n7/XhM3ek1W/jJYwlkmYYRAq7SI0Ifb1ni7tOSwHAFbBinz26dPV2Dp9XW2HLsQCCxyrI8OtUq7ei76gNCDMsS9papTV9jpdw02OGLpsw5CdWbIkBq/MZdimW5JcRh4SzjmdiH+1/gq7dKe6WMxUjDiMkSc5AkPN5XP9jG26VUZ4O5BpvUoowTjUB20U5HM4TLxGrrIr/ezavlVjWDPQWe7gdEogHNt2aNFOlMWISSoOYjUDLeMl+oHFTT3WyKMci2SBcJjTNPsa5/askivxddRjDTvQYLuyRHI+l8/UyM60iqqvULfESe6ynU79JVL8Mlw0YGeTbvBSvVDC4YG+61EOpWr1DRiW8tg94gY3+Hz9OQAWxxjnbdR8X9qJGsRtstWHx+hHpfjUXc2JbkTz2ziMuAwXXfGXfYl32Tudesp7dm7PONdnWGdVr72KV1okxCGnsTcZMwsk6CK1LDhtbfUaKbsSZVeiTThFFvysJBeL1v7U0SDnrNMJmSRMRjZSE6KQmIRQY2AUByoPPfHVlF3JTZ83aDzNwf3Ya0JwHMQ0HNrkk4dpO7YIwgBd35E1boxuU/IoV0N+1VWwMeVQ4p/RNEDLdOF1vMbe75X1XPalSgsKz7TbfbVneq2lhjiLOJEXfn/Vc/o7TAy307CskedQFmdIkCibfhgHlRlJQN0EJhRnluShfuqxDtf4Yv0FDvVBz87Rj9ikG5zrM9bZGvAsUuq+xjJdMmhr4JY5CrnCH8YB3UTPSRAEGqbX+lZ9TNIgy5ZT9PDlUMKXXlOZ1+EaN/kNDvWBPoHlDl3foXc9ltES1lr8YP8DtEOrjZx4q8IgxE12w7Nvppvd5DdaB8jQCXgTwoJJmfplXyI0oeJkJ8/CqvMdVtGK25hx0LTMRTwPUAbSR4TNvk7WOgyS565sph8vjzrZFvPyLtlhFa8YZR8Qq5nHPEvLlhu8RbLAt6dvcaxpqvxy+yWHDONIypZxGsgnP79MXAMTqCyyDVq4jt4D2ap7eIUuyJZN1ARZyO1yHNBr09WdGlExQQtenYab1yC9t0QR/GQDci0yxQwqSZsAlPzytmj1k2eYH16L5bdfI7I21Wm/+bNvcz+kaZOz5+3PgpkDLmeh6L7l+0zTpOeWylPMpIQX4199bsCnLHVpAN6aUtUEOhtS5XdYxvRmdVOHEa/Joz/L6+dWkNdDjSxhXLT8spJS2fgGiUtQDRUnO21JTVvXoOxK9GBBeepOPISsQ7yKYTw7o9jRFPdyedE0uC83X2rCVzvQ/CayBwvyv13nYK3VB7+4z1/qF+yynSac+clj3+4Z/hCt9cOTInyTbrCMlzi1JzXoOOswDAM+Fh9hJk4oM5chSxgAErlI2cgyLcjTHGM1ovY1vrf9nk6OBz9gk2yoU53117Ji/mr5FRbpglOUccDkJqVADH5QJJlM6S7dBS/Vi3b64ziq3r3qKxaWcaLhO8M0kBc+dPhs+RnlJ90ZsY2xCTc4NAck5wTXi2tSUGyE5/5Zp/anmgmCVUdkmegC26FVIkw3dEouuLQXaoQjoglXE4spOdyccSx6g4imsKEkgQcjkZjmle1qvVVNv65Cu4bvqwvw8fyR02rn0fZ0x4cBtYBpmCILGbSThzkfsmGCTbKhYcolaG2Ld8t3TEG0iQYq5TG9Bi/NC4vi8hmwUOe3MFvrpkZiE+SLHLayqpsHoFrdZbJU6dOlvWAcR1jHKfwiIU+8GhjsUrYMc6k7EnzCMETf9mSmz0zoPMq1kJPDvOkaxaPVPafTzjo0A+O7IxfhoXxQU+UyYgz1MA2ouxrbZIuiLYi1cjHO9VmbVtEVtwP1kDKtaUbi9IR6IcEYRVdgPax1zVsNlJO1PZu7wAW4yW9orB0qtCU3HAFIIzh7NhKLeIG6qylFizmpElTnXXpH3i8c5SzTiHPP9FM/eMYjhzEW4QIx2DCGJkQapVyle4b13Bf3mDDpFDAIA5ju1bj1UDwgj8hJ7zxNVYL4FISfYNWERJMGJJ6YweDcnXGsjpzaBTQKilxqm2xhjUXRFEoMmTDpxFDSLqMgogkQxIlWXYVLcYE3fPhLkFgapNo0yFn4XD1jO9HEuU7JRy8r4vCcoZcgjVLENlYZBgAsoyXerd/hXJ9VVnCsjzRC5jv8yvZXkMc5fnT6EQZPzvYqWmGyE4ZhQBtyU5eGqcoURHbyWDyq6TesQo3/liJ+k25wbI+vXO+xxy5nQFXZl9gFO9Q9UZ+bdIMePc3sM5lJCtWiKRhmF+bElSZLZkp0Rw1Uk41hHMbabAcmwEv5otpVMQ5qVsCMpWxGIjfXyRpJmGgqb9EU3HzOYU6BpQk7cQmOzRH91MNO1NB3ASe0p+ZEv9RAo2tsef3AU/4jk9ckZIN6rs+k+ow9yS2zMbTsSTMSssQPXn6gab2Pl0e0ngMceXaL1GTChG2+xTAMijYexxGt49d8e/oWiSVBbBlzYx0NEZuFsVVpjQzEpLmW3IUkSvBSvSA0Ia7Ta3woPtA4GS60qBKs65W5UlypSLHSgEjZoi2Q2ESbTDnD+rHHVXKF68W1UtbCgMMamayfmzMmO2Es2SwJ6a0bOyzCBWxEJvgwDrhb3GGVrCDGfpEcCrRB6CXiRZMNjCgE0iBViV3Zc5Ak3/ttgI3KKQSsIJPeuUg1E+VhUiTLc/IneQUmgJ09GIIClM/awOjWS/7et3p5mTQL8xt4DSmyeEWAyveS3wOAFuvAK3NctpNvX1LbYPZLOeNeg37wT6eTvtW66zU+/0uaQmOMTsfl59HQo5lW99n6M9ZH2ZbZB+OAuI9/hop4fp9/5j/53/PVjA2mlkYuSfwqe672+6HnpMpyteRBvuto2HXGNiYRoLB0wNcH4styGgrzINdESWOoC+08k7BeLi84tSc2BEGGVbziVD2gbCEIeKGfmzOstdTJtSfVXnt4BAhw7s+o2xoBOB3apluNXo4D6lQ/Fh8xeU4gsoh/Vz/2eC6fSYeJKF851SedSJrJoPVkLUsYxsqtlB0N8GLOwkyDAQyM6hs7zxTTyEUqEZGb4lSfGKQyByVIJ1m0hRqtzg05rZGNFGE29byQq76C8UZZzM/1s2oBV8kKURjRcNOeae6ZNathEAIDdE19bKjH7vqOk/eJK1vZXlQ9J9zd0NH0FGS4CW8QBKR+PFfPlPpEK2rUrMM0kqQxYcIlusAUvGPrscY4UFLjHRuf6+yaE/f5OhGtfju2imCsxxpmosHy89XnGmUfBmwimr7B++V7ornmAmucRoauRBkNcbK+m7ieLtsSh+HAB+FA9nKScApYDzX1sdPAYtJF+gD1njKICQxdCWxAfGC510nSAx4YHx0xHvqlesFL+aK8W6HE5GmOdbZG0RQ6uUxdisIXGuKxSBb4+vA1HxpmnlRZw6KkOWGbbPHc8Bq+yhmyU3e1/qxlz+RcoVmMfsShPuCz5WfUi8/83Et7oQ4T3MDIw0oQnAAnLZt0oyEz8jAYJl6vzdC8rnln+U3Vk8gzTiP86BWTOXlKUaqe3ocoiFA11SdTkmmalISU2UzpCpKDkETc5n17/hbvVvSxxC5GPbLQz6Mc5/ZMwsSYIAxCjD11+9+evtWmZBkzsttZbm3SIFXJw6k+0chmI50ctb6lpyWFNkBFV9B8FlK/LtkJox+RJIkW/IfmoJKp5/JZi696IKtcgpeiIKJ+eWShFbgAX6y/QNu3sAGlIw/lA76//b5O95Mgwbk548vNl+SIzzQHP/LMdqHDKqE8x48eVVepnvM6vVamuQHNcN1IbrRM+Pugx87uNDQschHqocZ9cU/ZUxBim2yxzbbohg7P9TN2yU6RhXEQM4Spq3HsjrBgwBg8J6aLaIFm5LbzqXz6RHaShRm3BgO3Bh7kWA8YcGpOpLd4g5vlDa7zaw4SwhjLcIkBAw71Acfq+IlZU2gqdV+rjMUZp1P+2MV6JlnQc7LLdvSSzObNaIgIObBWSTVN36ikqRkaBGGA65Rkoaqr8PHyEU/1E4saZ3VbJMF1aZBiE3O40IwNmpZs/jiMkVg2CL/9/Ntohgbvlu84FZ8LHuHXZ2HGyPqpx+eLzylJLZ+xr/fYN3t6jGBR9AWO7VGTjM/NmdkG7ZFT7iAiKWwuGgV92npuc6qqUvZ5N3YsmuYAnHbg5zWMHNZIEJQUvcKil81uFEXIXIYv11/Sr9afsEt2uFncaMiYbHnzcNblT5RZpTYlsGBufP1E7KJsxlfJioF8EQkrEgIlzYvIZTfpBuf2TInrMCresh25oZZz9angZD8KIjU076s9hm7AzXTD++5NcI1yucHwLSlCx4nhVdM0oct+suLRrFYIg1BrCmmapMmUe0aUDvovYz6Zhksh7SePv/R/+kufFOuTn1SW+of+R38I+2qvBbQQzQyMPlsBbrzGcW4q5vp69KwT5bMXqYpMuN82LtIoi35ca6a5NgpcoANj8QzJ9zTGMB/FAS/VC+VBs2fqZ339/CQrhsVb2ZdYmIWaNmzAyU4U0jgHAEM/4Kl9grde085k1d96xvUemgOusitd08oNkASkdlhYVG2FIAjgBqeu/7IviYRLljChwWPxSLxVuFB97i7doRs7fHv6VtceYiooO060qq6CdVanF+fmjEWwoDYwiHV1Gxh27kVZkFYxGVy6C+qhhrXUkIeOD5lVskLY0/An3FxxOYsJKnIRwihEbGNqpvoJz+0znutnTanrfKeJbr3vsc2Irbp01FjKGix2RNtVfcUo4rFSvd77xXtUQ4WH8wNj37sehS9wl9/BhU471zRIUfSFThbKrsR1ek2sYM+U0CSgjneRLZQnvApWOFZHjNPIBybYactB2vqWIQnW6YRJdMeRi3gdxQtNWzQg0zfqIjSuIUElWSNyPOz7iZp00X2JzCgyEYq24Prdsxg9t2xQZIX9XPDhuEpWSDrGpPc9kxVFczz6UfmzkYtUG7rLuOqtbKX61UtPucI6WRPtGTq8X7xH0fJ9kCIvCXnAFF1B7OfABnYX73A/3PMBM2PYJj9xje35c8mq0oPprp2nbtS+WE1rrIYKsY312l6kCwQm0Omun7g5ePEvyJNcjXAAkIQJsuA1RU04sJGLcJVe0RQLBnVFLtKG7dE/cuMxywHSIFU2sUwyxCzmjFOZjTDnZcIuJKNmajBhwu3iFm3X4uIumsS6ila6apWiqGoqfD18TdZ8x0LeGYer5IqmuohF9qmhZtN7rxPw5+pZTV2LiOZx0aiPGFVqUPYlHKgbbvsWWZLxfRxecLe8I11k3tgBnNYsQuL1qr7ihiMkpSFEqEYuWb9KI2OMwd3iDu3Q4ql40uJvES1gA5pQH6tHfDx/VP9BYKiV9ZPHY/FIOpNNcZVf4Tq71jCSwASogxr353v6BkZu09KQWy3Rd45+pDSs5sbDOafbPzE0Crpvm9K0/1w+k3Izo+iqocL95V6lRGL8G/zAc2Ac9KG5S3e6UpbCSyZ2cRTrdNxaq9SlyU94v3yvk1EDRp0fh6OeDQAfxqf6hJfmBetwredX3dZYpCyyEpeoXCYKIm4Amgs3ubPmVmSDElTVjpycn9oTzu0ZN4sbJDbRlGKZ8PVTr2bZt0nH4uOYBhY4sYsxGvp/Ts0JaZRq8SNUpyRMtLl11mFf7xX11k89SUu+hxudphy/X79XyYhMd8u2VJ+RaMIl06NsSzRdo5KMAYPqmZ2hfh9zQuJVfqXegx8dfkTE4Yy+tdYSBzynXt7ld/jO9jvIgxxpmDIJdBq1Ib9d3HJL2JTcshqD3tK7lIQJmq4hs7xv0YwNfVjRkgm5CRPCu7FDFEa4i+7U8Bw7ylYfi0fKU+KFJtlusy3yKOeG+MTApF220xCipideNAxCnb5a0FAsjWU/9mjRasaKbEQfa56JV8nV6/QbHp+vP9dUz3ZslU5zKk4EAszFJcDiVwrPwAWEBcz/G2aCEgCMv/RdPP/9vw1cLlr4SuEqGw+zWmH65e8Dc6KumyjJeDvEUC64gSZevi10ZcAiAwYxucskW35HkcDJhk/IeZhlfx5e72OZmCs5Zn45Q6WDkGxkMj/68ZUABT6jVIc+/y4SRimNhWjW3753krsig9HBDrh218xPmWk/P+vr51aQO0uD2LGi07geqKsEyCWWKPN6qOGNJ7nERFjna/JlG/Jl+7ZXPdk3p2/Q+e4TJKCsedqOyKmyp/xlG2/5ZjtOjZ6rZ4hrWKaQQg+Qh74DpQ+beIM4j9H2DJ4ITKDQfj+9pjuGAWOT5YM91pSY5BF1aP3EYk2CMuq2pr4P5KpakPyyiBc41kcaDueCRbrTY31Uk5wkSa7SFYq+wKEi8msdr9VZLtPWq5TIrKqj9lWKB5ExnNszTjVXtNtki8AFuEvu4L3HYX/AiFGlH4uYXORTc9KDWm4qubgXMQ/vdcSfZRnzs6kHru4mkEF/bmheS1xCreyMTRR8nfCcYzeHrVhgsAOnnR2lGot4gev8mkErMFha4vCmaVIzkeDDrvIrxQfKFiSxCdqpRRZk6Pse5/qs31eoQMPE6YSam4xnMMRsaMlDHtZ5lGtRb61F13EtG4X8GfqJDz8pGIIgUHZvEibqvu8846SLrqDkBcAm3iAJE8RhjH27RzDw+uv7HsYarKM1qrHSa+5Un/DhPAcPxbP0ZvYTVF1F7WUQoWqZ3ickEdHvS3DUoTzgnX1HfaVhYxLZSFnHoxnR9R0boZGa1Xqs8eH4Ab96+6tMzGvOOLUnJEGiRUJoQ9Wee+/1oSITbDGqZlGmGr5u7LCJNmQTW4ZCiYwsCiOM3YjUpXABp2ireKUIsY+Xj/DeY+VWGMbhtWgMckQhQ4zyKFe5jGQWjBnPgOvoGoeOlJmr9AqXjgexRJm3Y8tgD8Np2WTJBO4mTt0632kgUxZmKhdZJSuV/8hmpK97rkODGA0adF2HXbbDh9MHtCPviav8SlF63xy/wTRNuMlv0AwNzs2ZZ0J9wHP5rBNFgOl5v3z1yzhWRxrpnMNVdoVNulHdqjTK9VDjh5cf4nP/OaIowipaqcSu6AuYiQbDPMoxTAO3DIYFYD3UzJ2Yi/jQhjgObMKziOZsExqVxEnSXuxiNTcnjk2pmAjloV/33Hiu47VqXJ1z6HoaZLfpFoeaXohVvNKCzoxGpQwBSAhpOjYyTdfg0B6U+DRggPW8Dq6za03UPNdn9dsIeeXSEQ06jAOiKCKS1jArQcJZcpejcQ0Sk3BaOtIflYYsTMXwvW9ICErGBOeOadGSbLqv98RuzoOJVbJS7F/sYlyaixrAq6HCU/mk8omiLzh0sCwcq7rCdXLNa3txzXtvbn7MRGRhEiWqnRdtvoHBqTnh1J5UT/7t5VvNtujRI3e5yi626ZYgBBfj/nyP5/IZd8s7xEGMoi0Qg9fy/fmeeL752SLPkO/uvouX8oWenbmAep+/x8EdNBgttDTQGhi8W79jk9SXeLd4h9CGHIJEpCUto6X6D6KA72vrWxZWFliFKwxmUGpNHjGQrhs6DAODtfqxx6k6wVijDfh+2iPsmIK8STasC+ZwqW6gPEa8F6ItD0yAdbImqck6NF3DBmYOfPr6/DUO9UE9VEKjUqnKLNnQAhLQZhmADiNUBmIthu9/T7+2mwcqUkD3YIEbzbXNW2LJMA0q5ZD/fNt86PR5Lpg1VdcP+sz/8Yn1NE1KNZIzQvwQYkgFoJN+qbXeSlukCVTO+Sw5ETb6hEl/dpGLimFWUntVjvNWuw7DsKxZyiaDiEWyUDlM73tUl+pnrot/bgX5uTsr5/OpekJkeIiHYYhgIpt0GS9p2mmpm2rGhtriWc8buQhP5okJc22FbuINIjiaESMiyxWnTCeEe1r7Gna0uA6v8W75Dg+XB4wjk/Oc5ZTgVJ+0w8JEHdkIHuQSU3uXUx+mP0/9hK3Z6nRPLpJu6LQbFGlJHuRYpSs8Fo/wvcdoR3yef84D0tK5O0yMdrb29aHjjMOlveCpfMIwDqQfxAudxlVtRQ3m3B2v4pmJPlLveq7POMUnhGGoGEMLS3a47+he73kQLBIWadPEbjmOYrzL3+Hc8sEg6DGhJQDAZ4vPSFmYg3rkf5+mCVEQ6QHorMPleNFEROeoU84iruAv9QUdOiwThjYsoyUMmJBWD7VOVC7tRR9Iz9UzH1ZRroZPuckESdkMDbbpFkHI4s8ai9jEGlARBRGuQhY3z/0zurHDl6svsVlsMA6cCt4ubrUBiF2MxCUs3htOspMgUe3fc/vMxhMT9tUecRDj3eKdPmwtrDLI1xELiqItXo09lkitaqh0UpVHOZbJUqclWZDp+lqite9Wd8Rngh3+oTnguXpG6vi+wQOZyTThMTABVtEKDwUpF+3Ih5KfPNIoRV9zcuicw7E7Iq1TvF+9Jye3PeGlenmNxTacpsQuRju1uEo4EWvGRoNRbhe3apo6t2c9wB0YvCIBGN3YKUlCHmbNyAAQCUWBhXKQlWc8Ej3Xjz2L8Kklb9kalHWp50AcUu5ynV8TkWaBx+KRWmBAKRnd0HFigxDX2TUnT83rgy90TAcMXKCmq2NzxGerz7jGnjcukWUhG7pQMXyicU2ChFi7jhuzm+wGTd/gQ/0BZV/iJrjBVXKFNqRu/TgcGSaWXqmJrukbpZ48FA+4v9xzO5PsdJr5UD3g1J0oQbNzQJefcGku2OQb1ctOhmm91/k1rtIrpI4BNdVYoaoqDBELknWyhvHUT0tWgWAqu7FTYo2QJMIg1GZxGdDY6xKnP3c/9Pr+C6oxDmIWLTO2tu5rYAJW6er1IW8mHMoD5SvjMwtfzw2HhMklNsGpPSENmMJrYfFcPOvEXPwZ7cB0zGiKUPmKDaRLkMbE3K6TNZqSnOlmaBB0ATbJhlrSmTveDA1MZzRkC9MrZeIqvdIgoaqrUA/ko5ddiZMnOjcNUzUr53FO2Ux71sn+TXaj0rBlskTQB7r9Er9TGIQYxgGZy7SgEMlj2ZVILd8HkQk1A6e75VgqtjYNUgDUEu+bPbxhsd5MlDwdmyNlo9kOwzTgm+M3GhoWmQiJTXDpLvpzPpVPKJsS9+W9ZkbUfY1m5Pnfj73iWwPDQYkU8e3YYplSthXaUJsAY4mE/Pr4tTLcnXV6Ty4Mz6ZDdUAYhni/fI/ecwsRB7EW45IHYB3vidGOaJsWne3UKCjDpHN3xuhHmvYBzVIJXai43Zv8BnEQK9ShHmrdckcu0qmvbMnu4jvFXVauUgpT1Vc4VSdYQ8SxUGjyOP9Ehy3abABKIxFzMzxUziopxPK/SwGskpP5PwVM4ewr9s/AvG7E5ue3SHZgoRtz+R5+8q/scEDPPSmo5d4VVKGfvDZbQhGTSbX8GQCKIJSfV/6ZDHTl7/ST1+Jc/275ZzNZSTYEb42p8j5p82+sehLkvZZpehzE2IZbFMviZ66Lf24F+ePlEaZnUllkIlhHLucS5I3HLuYkbMYJBUEAjNA3KLQhsjjDolvgoXiAC+mEXsUrrtotMYX7Zq/YP2ssspgkk7Hng/7QHNTgdurY4UqB7cBCQTCIi2iBqqhI6LBktK6SlWo6u5HMUCkMDs0BMeJXlq1o5QcW2vKg2SZbGBisJpoLPTyKvsD14ppTkqFT3bFEmZct5Qp5msNYapD7sUfVVXgoH9RtLmYrMQ3JPwfAmOk5PODUUV8emQhhEqLoC7QDSRoyTZNV3lebr/CDlx9gwKCaelnHe+dVd/9F/AUnegP1iKLlGvyAMAi1OHXW4aF8AADV272UL5T0GIN3+TuuzuE0hS8JEk1B7HyH58uz6if39Z4PyCBg09fO2Dozr1njDItgoRjIQ30gjSUjHzyPc1hD48655ko5jokxDEIW+c44JGGitJZmpFTCWstkN+MwuQnH6oiyK0m8AZNVhRdtrdUHjKzqJAkOs/m2HVply0twh8gjMLNS27HFbXbLqU3DEKe75R3T9GzIB+FAWdIypmREKBWiuUzDVCO2YxtrOJJIGqZpgrHUzMm69NSd4AqnBJN1vNZNwzbdsoCYk0LziJuWpm/Q2Q7LxVLpHXVfw09e0weTiIW7M061ykXHgu6lesE4jeqAF91y17+i8wRtKlhQwR9O44QszTiV6jum+KZrpmq6GLGNcfInpq1NBpf6gh9NP0LZlLCO2xlYYDScFi8TosjanprQ2MXobIfCF4pFHf2oWuYson4+NKFu04Q1Xk2V3uejHfXghwHMSFNxEtI8JAmt1lhyez2nUcfqqFukuq9R9iU+XD6g7mpcp9d6Rk0Dr9OH4kF9M9bPBY2h9+alflE8KCYABnrviOm7HbltkhAwOfesYY5BNRCdOQyccF5lVxjGQf0D3dBpwm41MAyrH3odMnQ9pXZxwM9G9NVFV+Bj8ZHv4bzm3qZbTIa4zuf6WYuiTcIp/6W9oB2ZkvlSvvCzCFLs8h2avtH1fBIksJPFS/1CWtNwxiZmYNEyWKpR2To+tC0sjadji76heffSXCgZmgcgeZBzmtw5nVyHQaiNoKRMdmOHh8uDaoiXCeWDSZRocS+6bqGDySaw6znlF6ndu8U71dEPfsC5O2ObbFWuYS2Z/UVIs2rTs7G41Bem3EatohJF6xwGITKTcaocLlEPNTqQ5X6dX2som/yZ0Y8qAbuYC4tcQ2rQMThiiifKX2yIU3TSn1WGP93YEa871kr0kfjyzGX4OH5EFmZYpSvdYnjvkcWZhu4t4yX1vTN5qbbcOu2CHfXYlnKqKIgQgXK/S8cBVe6Y/BqaEBfDJFNrCH3Iw1wTWA/1Acf6iFW6Irt/btyrloFwQtkp+xL7aq+yFZHKiByv6RvEY6wGddEzC2VpGc/n1TTioXig7GgOA5SCO7DBJ5QPKZz7sVdc5dvCXYpSAIosVawh/KeTb29eTZ0gBc85R9oJXnXkMoyUlzNOEzXfJmC+LZBlYo7ZEyZSFAP+TM6/mitlyKks9vm/y58VtKE0EPo7TqBUVZoqP30y8Rcai3zt2/fFGX49wN9fNkdVV6EzlLsKyvY6u/6Z6+KfW0EOQA9yaywCBFrcTph0tZeFGWUTMXm/VUeGbGJfUzivsisNJ9kkG3aMloffx9NH/OrNr6L3nKzlE/V+cUic4lP1hG28ZTcGUgskUbMfmKIoq6XABWTfGhqv0oimjoeOITnrdE1E40CGctEWKNtS9XsWNKGKIcEYQ67sTAmwbnZUz2sjefBKRy4rRg//6tKfBpRtyYfjPEHsfY+P54/4YvUF3q3fEbHYc63sR2qf5AKWxK1maPCDww/oJvf29UHrOzzVT1iECy0QrLG60nSGFBxvqA8NAuraVhP1upnltLIeasQu1o7ZGacTXSlq256IPNFbxy7GIl5glazQ+hYru9KbQCbQBkZvQJkynuoTiraAdVbj5kV+lIYpFmBUfFezKAstpy83+Y1ijySMpxlo3EoiTpDkwTn6kdi/jsWyTNpSl2KTbVhI1ywmbvIbPJaPylJvh5bR77DaOMoNXQ0VblJykwPD1XjREcNW9zUeL49ohoZbkGyFZbxE6jkJkuYtcnywZBFZtmYyWEZLpopOlAQI4UUaJQmPqYeaE/DqSGyo5+TcBowiPzdnLBOiKquhwqE9IAkSXOVXNAWOnPoEQYDIRFgtuKk5NSc89o8ohoIm0KFWDakxc4T4RNnSVUij6Lkjv1qQhlI0+InJiDJ93Td7+JHYRMFnSrjMpbmwCApjRYvKAyF0DBfyhtObLMqwGlecYjpLFGXPpt0bj226xbv8HZbxEk/Vk8oYJGZcNnft0GJf77m5CLm5EC7/CGrZhTZRdzVZ6nPAS9VXyj/eJBvsq71O+DrfaUHqwUm4TKLaun0lc3SUjtRjDQtL3CJorO1GIhKP9ZHXcDBi7EcMGJAgUalVdSbxw8DABWyaet/jenGtMeNDPeDSXYjthPukuZTP1BqL03BC0zXYY0/6kuP5/Fg8ovGNSkZGP9LjEcec1FqeA6K/78depXSyKTOW2tAPxQf+/V2LbbpF6lKcuzPKrkTjGzLKTUBMIQbcn+/5Z2eJ2WQmSpUCppD2A4kjt9EtJ5cBvTy5y9F0DR4vj/ALr0OAj+ePKsWLgxhJlGBoBhyHIy7tBZtkQzqOySirHDs8F89I1rwHoiDCZ/Fn3BgXTzgOR7QV0zFFn112pWZjSHZDPzKsqbKcsEc2Qp6yWJSCJQ9yzeyIHFNwJbGz8Szyi5ahXz7xaoqOXUyjuR/4DOy5gc3DHNfLa00m3qQbhC7EqT5RPjo3lnKGJiGN0D706qcq+xKTZ3HVjZQqDp7SQwCvVJGhhO0sN1YzAnkRMcwrdKF+vRRpjW/I8O5LdKZTw27TNbjUF0yWWE07WRzroxpHO0+PkaQwX2VXin0FoPKf6/xaZVx+8hgGUsfigFtMGczELsbN9gZCOmmHFhYWp/6kJKnAEus8+hEP5YM+d4xhxoNsmQSxLIVk13WvBsZ5eq7YboNPilQx3k72U77hBA5YpGBVFOJ8Hk6Y1FwsmEBpEGTy/Zaaopr1uZiV/+2tbASAykbkewt2Ur5GJtrSNLx9jdMrUlCm0lL8K1lpbgRUPvxGMuPhNXhOfIaSqq2/i3ltRD4hukzQz0aCzhTHOrQahDb4Qf1zP8vr51aQZ2GGdbrWCUgURmj7VqeV4zhyKg5gmSw1GvilfiHaKyM3+1AdqBnFHKbjez6QDPV79VBjnEg5eK6e8Z3Nd7CMOdEcBhajD+UDMHEiaa3FPzn+E8QmRhZnxFLNdBUprqt+Nr9ZqzenYHCW0VK1tJtswzVpW6IbOtQT1+NioBsmkhussRosIsxrOQgwsWi+dJRlXK+uSYsYCpzKEx6qB2L7TIDnnpOhbuhIDaifuD4PsleGJkYM/Uyy6MhBzcIMX6y+YGfuK6IJy4sWw844FAPZ62HANfvd8o5myrZUIoCsbhfRAstkyYmnHzXBsOxLTatMg1TNmDLtlGmCxyuL3lqaEceRk7vYxjh1J1wZSkoO9YGT/yCiVCLmujkPOFk9tSe64uekPjMZ9HGPu+UdLi2Ltav8Sg9VmRpLoJEgJhfxQjX3sp6Srr7pKaWazKQHrIXVoInAMajCd14jpQHg4fKANEhxm98iDckCj1zEVets6Fsna+yCHQt8e0HTU6oRh+zEIxvh0l/UmOLBxkgOHxjo55KFGYquUPe5tZwGZGGmTOO6r3GVXilWTkgQst1Qk98sU2iGBtVYIWkTJFGCr6KvMIHSJJFZPVVPONZHZAGna0K3eSqfUPd8j8ZxVH/A23ugaBkGFphAdbMS5CMGW+GtS5NUDRWOzRFX2ZVOXYu60Enn4AfF7w3DgDzJ4QJukrYZA8YO9QH1UCMPclyBhqlduiOrvT2Qpz2U8CP9Kz86/wi7bMeme24A8yjHJtqg9a022dLUOkOc26WjfCMJE3R9h6fmCaeaBewlveiD4qV+wTpeo2orfCw+IkKEbupUviR63XFisyOhHIKbPDdn1V0/nB70DPYT2dOCyyz6QjGpdU/6xipaUdNb3GPoB8Dxs1lGS4xmVG37vt4rsm0RLXCVXamfoh1b3TTGjtumS3Bh6mNbagG0TbfIw1x/72XIAvfS0Sh5ak68h7JUzaWpS3Fsjvh4+ojIRfhs9RmSkHrrYRpQNiWmcSIWc2qRh1zxyz1urEHXd+gColyHkZ6JJKIhsKkbHRz5iRvAh+KBuLuMDZwU9b1n0NIqXqHqKsrFrGfo0vySzV4zNjg1J5rDo0SJVG8b8KfiSbnii4CYysEPWCwY274MiUEVueJNfkPjneE9GliaRy0olZRshnrgvS7kkEW80KLDOSJ6hSMvNKlzc+a5HUS4L+6xS3f0B0VsDqIFCVn7ao9VtMJgBywTaqGP1ZFyVAR4LB6xL/eIlhGW8RLP1TN+dPwR1uka62ytpK2Hy4MaQpux0WKnAqfH65SUHMmfkKJQGtNmbLAyKyXr7Js9NtmGJtmw1eCgNEqxjTiUeywfVdIhZmT1sCRLnBtmdnRDp74l0e6vkzV8TYnQdX6tRa4830Y/om6ZtXCdX6MferS+1QRh4w2Mo7lxX+0VGhHYQNGxTdfgpXlhcm+4wt7v+WfnwRRmE6ggMmViLobLaSLPXwaE4tEBXotYkXHK9xzsAOffTN2t+UQOIgW61s9vmgIpmuXr9WvmCfRb3KAMSlTfbl6NmVIki/lTtevzc8lYo7ruHy/o5TMQ2cxbOQ8wN392QoBAKS9vp/YOTt9DKfKl+D5XZywXSyztUmVq/31eP7eCfJwYuzvhlQZRtHT7d76jHCPJVdOzS3fYpTt8c/oGj8Uj1vEaXdcpwzUwAULwIYIBKh9JwkSNdcPIQyaLMtWcNz0JHP3Uc0o2a+s608ENDutojSzhBGHCpJM56cxc4FQvHblIk92KjtHO2TLDsTniqXwCPIj6iqlRu7QXGMeLJQojxGGMoR1QNIX+HB5etWKfrz7nir9j0mA1VHgun1G0nKjJQTv4gTIgY/FcP6uGUBoGwawdmgMnECA+6255xwma4QGfh5wYtX2L1KTIcmIQL+0Fv7T4JU7TGuqlnKO8R3BVve9RtiWKrsAvbX8JLnQaQCIm3sDQJ9ANDGt5qV80wW6bbtVsIYzRsi/xfvkexhjq+4cBxVCQHet7PfQ2CekRtamVpHJqT9ilO+RxrmbCNOJ7sApXGMcR98U97hZ3ukYObID3+XvUviY5Zzyrts0Yg3PNhNNFvGDXPA74fMXAmKfmiUVNV+vBt4jmwArPrUYWZrjJb4i0nFnSWcQJqzdep95vPRMy2ZVV6oQJdpqblmlEHucsavtaNyCreIXGNSj6AkVTkJ3q5sncrFN9KB44yZ1TAW8Xt4rfq1pKD6yzmh75Ur0gMAHeLd4hi7gFWcUrTYw8Nkec2zMRov2ZITBo0PQNns2zxpn70cNOlmSIeXtgjVUtrTDpIxfBt149C+fmjMfyEVVPqYeFReUrZC4j6i7K9aEJAwaVuFj1lm3P4Bfh33cjkXmbeIM4iMmD7hjqcpPdYJgG6vGdwyqm6VJweFLYihGx6ioWsjHNut+cvsE0ktGdh0Ss3p/vFSsoSC0Pz6ATTxNv0RQaBBZaDiPkIb1LdthlO8QuRtEVsLAoxxI36Y1STKy1aJtWw5WavmEA2KyNHvoBaZIq0lP0u6HhtjAKI52SJmGCz5efa5y49x7OOSzDJTJHmtNL9YIsoCxnm26VoZ+ECb5af4UfHn6IuqvROSYnbtINJ+Ex9c7y4JRkVQnGagZOuCUASUKtZKjRelJL5PthAsqBuE9nHLbpFs8lfRyLhMVjGqZMyzVeC82yK3GqOcG8yknsSmyCHj1iG6PoufEc/YjM8Trshk5JJqFlYXvueN0XHZubyESaF9GD0/ZduqPkw3faELVjSxJOSba68NDzKMcu3WGwA9qpZXPRV/xsAm6KYaCx8KKbbvv2FVEX0DAtYTt1X5N/P1RYWJ5fWZDhOrrGLt3h1JxwqA54ronJDIMQt/ktiVGz/LHua23qVxHNpN3AZ/JLRbywm0ggGgbKFOuO3p+FeaXUxC7GU/nE3Il6DqyrD2iHFttsq9d45oghzW2u/qQ0TJXzPxma9Mz4Khsd/ICn4glP5ROWMWWmWZQpIejcnpEggbcstNIgVWKTNC+i3zbeoGj5mcowLY1ShE2osijZ7ktInAx4Row412f8zv53cJ1f0yxuuFXaZlt6OUKaFwVpKNeUsw71VOPh8sBAo/nny+Mcp+6EfbPHXXiH84HPo8HRADnZCd6+MsdFSiPpnTph9ky37kH2uQQISWHbT69GWaHnDBj0XBLDpGyXp2liEf9Gj91OrZJOJGxRyFCqY58LaDFyShqmhPBNmJSAJBN6YJYx2xF+oIZd5DjqK5mNovM34feYXpsG+d4uoCFb/rlO4c2kUpvRj+j7HvvnPcZpxDpfK73OTmz8pu4nTFv6XV4/t4L80lywilfKsfxYfaRZLr9FP/a49Ly4l8lSL6AkSLDLdni3eAdjDMq2xO8cf4cawmSrnNaiI7y/bDiRPdXUhi+jJbzxeL48ox5rddna2CL15AA/XB4QhRG1YJ6FujUW75fvucrtKpq0hh6PFddowrrN41x/TmsYYpI5xu7u0h1Ep+iMQxIlMJa4RJnWRBPNM0mekB7iSVoY/YjPVp8BAA7VAaf2xClDs1fzp6l5UedhjsIXPLii2QRUnYm+C7j6S8IEoWeRbicWz93UaRTwdX6N9yti9yIb4WV6QeCImNtlO6IUZ0ONJE7KhmGTbSivaQtq9oYa356+xWQmxY+dG8aFr5O1PhQCGyB1KUY3Irax4iplaq0xzgEDjI71EdVAqUdkI0x2wqW/6Aqsmzp0fadmQZlIinHrqXrCNa45XXAG25AINqEQRDbi2jeb0Fe9Yrj6gRuYY3PkVAgR7nEPP3psc6Kwek/2dtmWGEHjijOMgF7GS3R9hzqusUyWeq2kjnKKdmxV67pNtgC4EpcJw1V2pRi+c3PWtNJzdwY8cLO6wTpmCNG5OtPsiFiZxdM0IbUkENVdjXqsMVQk+ojGexEzTdZ7jx9dfoRvTt+gn3rcpDcY7IBh4EPDOIMo5PuUBCRFOMsVdVM06Cce/pGJEMWR6t3P3Rk+9rhZ3ODYHlFPNbq204mOFHz9yOJFJiZZmAGWEq5FskBd1lhHa4wxHyDWU18fmEDJQ4LDvM1vFa0qONVlskRbcVLmUt6DRVNgk26UmS6BNB8upJns4h2EMCCBXNt0q/KraZq0MNymW24jwAls7WvdiG2TLTbZBm5yeCgeAANsog0LOBuRpz0X44uYcfeiEZYizDqiu/KIlJdiYGz3Ml4yabdnMf7h9EFX0bucjO66rdGbHr6l9GWX77CKVmh8g3Jk0NX3F99HN7EIzoIMl5Fkq+JSoOgLfg4hdeWCQmsHphn+ePR1HnIqWHYlgolUKtFvStPpJ68TQaE8OMuCruxL8uSHAWmUkiUfsEBzxqG2taI+i4ENiqy3JaAIAF6KFxgYJUH1I4104mWBhV7fMl0OTIBdsuN0tqk0YVbORFhoYyv38qE96LMgCmgyF0lM5zuauAOj6/LAMrr9Y/ERp4YwAWkSGt/wrB9CHMoDApCadJPfcCMy1srkPjUnTauV4vAqu9I8gKqn5FNCn07NCcfqSE19xM3dNDE0Ko9zykjjpbLu/eSRTnxWli1lJ+fmrBPFPMpxt7ij/Gx8TdKUaHETGZ0oX7oLrrNrel3mRuvcnGFbeiPkvpLNl4sIM8AEfP/q+ywwR1LBQhOi6gkzkM2okDjCIESe5JiGCdfra5XGBUGAr5Kv4L3XDZxLKI96rp5JXJob+0t7wbFhmNUyWip2d5ft0I+9+mwuLdN/o4A+Ig9uR07+hPvLPbqez03vGS4o/xmCXh/JYxBdPAB9LhcdQ5lix21U2ZfcMo8lvvZfw14syrJUXbZMdaUoFe8NP2T+h0hOhLwiBkjB5MokWlCCnxSxs6xDCm0pzAXYYGFV7vGWqgK80l4+CTJ68+ekqJaX/B1vkYzAa1iQfI3q4qfX3/ntZFx8RfIziaZedOIGryFCbyVE+j7NoUENGlRphev4GtaSnFN39PEt7OK/se7973r93AryaqgQ9DMz3PPgGMYBj+Ujvlp/hduIFAtB3B3qA9c0MQ+Idmhxqk+KYnsoHtT4MGLE0+UJ9VAzOXGocGyP2MQbrOIVWtMSnu+sTgTF8NT6Fk3dIF7EuEqusIyXpAtEKeIgxofzB94ohhdV5CLVMnYDtZMIuf6ZxglTMCnOTj7keqh1zXmX32loUT/QdIfZkBSHMW7cDfqp1+LrUB9QdRWd9l2n2tMsyOCN55o9ZKJZYLiCOrQHDBgQexrLNulGo30X0UJlBFmQaQhDYKhtzpOcxfx84znj0Hoafo7NUSeacRhjm27VVHGoDzAweK6eYSeLzzefq1ZddPnyUJRQntCFPFD7Bi5gAmTiEkiEcBiEsJNFbWpc5Veo2xrH9oh2ajXZLMSc6Don8ZVtSUOcTdToJoi7u8UdO+lxwFV6hSRPNIwgCRLAkIt9t7hD27f4cP6AcirxWDwiQIDbxa1OBQDoZ+s9f95dtmOC5jwBk+lfYDgtE+b7NE2Y4gl1Wet7LGFLcrDEIZsUZx1yz/TEbqQ0ycDgffiejdYsr4ostzWic5/8pDp5M73KckLLYJI4jLUYlsMvCiKkLsU22eLQHZDFr7zwZErgJqf3pCAaJ0z4eP6IS3d59SoAlA1YMrtjS8PlMDGcqexLmipnI6asiQVf2vr2NV10oDxMfnfBf4kDXzZrYriKe5Javtp8hZfyRc2ISZggcK88WzX02InSnYHBUEJyOTZHbRQ6sNHsxg7G0/wpMqUgIFlGkgBFVxykDDyTRNKiJ77y0l3Y7GQ3KlmT+Oxx5ORVJvFm4so3cQnZ+LO8aZNusEyWsJ1leq8h0ePcnLWpcXDEX85SrguIjLtJb3BoDmj6BnnKwsZMButwjTBkqNGluyCoSIE4NzS5d77j1HhiEyAehMlPalxcJSv9XJ3lZsHAKAHJwqrmXib/IhNKIw5WIkeD4KW9KOq2m7hBrX2N6/ia0grPxmFoSP4QHrxgScdx1Gh6aywcHOCguvVLf8FddkfCVRqiHVs8V884d5QKfCg/MDE4jBBHMfKQAIFmbHivBQnSMNUhiuRXSKZDHuVsHjEiMa9Y1cDQcyMoT3jqlSdMmo0gE8P70z2KocAiZMjYJt0o3WQYBzXMy8Z1HEfF68oW8dgcYSbzeh51paZLf/Kai5JNutFk5N736AciHS8N7+9NsmGybXNGMzToR+YeREGkWvrYxmhiGrONpQzJWqtbv37slcX+WD1iHGgaPDUn8rhn6VkezSjRrsSxPmIZM5xIqDOTn9STsIk3aHyDQ3lQhOEiIOEksLz2Fm6h4U+CdrXW4tSctEjrxg6nlphUZx2yINPk0NVAfGYapzpsa8ZGUcvWULY4ecoah5HNpNDTLg3zJy7NRZ8Rl/6CzbhRypIWyDNZxU/cEoY2xD85/BOe6ZsbbtzdBX5kE5EECRbJAqELVUbxVD4xM6Wt4BzPS90kDINGwldDxTqpa3Huz8QmB5S+DeAWRmgoQpuT8L26r7mJsZGmiI7TiGN75PU/jRpEeO7P2Jd7DVeKggjLcIlttlUPDSYgCKg4eKleNBQutrGaNtfxWk3k3dCp2fTSEmZwaA404cdL5dwPI6lw19k16pEJ2Z+tPlMpWdM1+Pr0NZbREnlEGp6FxUv1QvKd8UgdZbdxEGN0o4ZtJVPyM9fFP7eCXJLvWt8CnhfBJt6ovnidrJG4RMNKqr7Cyq64/vKMoP94+UjdpuGD6FJdcCpPaMCJ4jpaY52skcWZaoMuHXXD22xLs8fAG0U0y1mUoe3IAl/GS+QJV8yCCJILuB051dmlO+WTntqTFvaS3piEnISUXYl9vVdCzDiR7CDru6qrcMFF188Lu9Bp2YQJT+UTJyezpj2PczjnEHYhPhQfEDjKB+SwCWKST7bxlm79WX99u7xFGtCMKjjIYRq0GNKDyPNhkLgEvZm5oLNeLETIqPiR4UxVW2GTbNRIW/e1EgNgKWeRAq8ZG+Wn7oM97pZ3SIOU5sVZFiSBJKJLv7QXVD0JGnEQY5gGfgZxi+bYULce8rCtfY3nyzOqgbryXbqj4WUC6r7GqT4x7j1eohkalUPI9Ch0ITrf6XTNBhbrYK3TvIfyAbGJtYAFaAJZxksUTYGX4gWbbIMsyPCx/siEy7bgZH9kMXDu+AAZMZKwMzNwi67QRFdZ671N9dukNAfGAYsd1fq9CV5ohobR2LN0YByJ5JJp7uAHnThJMIys3Do/F7YtUWcPlwcUXYEvr75EVpJOElnqPouuQO97NE2Dh+mBh21CHXjnOxaY4HV/aA44tAfkLtdppEihAsdp9jRNynWW1e+ECSNGmq/mB7ikbMrDQ2QtaZQyYbIzqjPNwgx5nLOInBiZbiajG4fIRvhy9aWaqOq+JqnBeJ2UBDbAY/X4SVDIuT1TZzsNWDhKFI7dUTcFk5+wsZzsScMvEoPUcgL2VDzh2NBYmQZECY7jqEEtVV8RsTqn463SFdZYY1/vVRoDUAKXh5TkIXyd7FzqC5GnyQrLkBQoFzALoRs6FoOO+lLZVDnr2FxMI9KExeUu3SHqGdJ26k6KIwxG6i2TMNEUvEN1UKKCuzgNqbnOrlU3bYzBJt7AOafMaAnOEqP2NiU2VhJPZY2+STc8s8AiQIy1gePg4VJfEEYh3DgHGYHSvkPFsJ3YxRh6So/M0sB3JAAJ6tW5OVXY83PveppoE5fouR0FEbbJVjMf4nDW706eTUi80qyIbuw0FTUJEozgGSNmwW22xTJeqkms8x2SOMGiW+B0PKEeWTw2HSe+koaZuARJnOhWYV/u9ZmSh7maLA0YOncsjtRKxwyuqroK+3qPb07f0M9iwQZ09sZIQ1UNlWL5xNcBQAPaZCochyyOqr5CP/a4s3d4v3zP5M45lTkIAgQjQ2XE3I8JWuC0fYvS04+UxIluWpwlWUsQyJIJcmpOSEJuioTpvU7Xiuvtxg77ag9MTLadUhbMVU9G9CbZ6FkEw0wH2drspz2bWOPwXMzPEhuh6wkMkKTql/oF9VBjm20RBqSMdUOHY3N8PZ9nL9FT/aRNxbk+wwV8v07tCZtoA0zcAEpS6tRNisftfY+X8gXbZKsNl3MO24z3ieQElCPhCNdrppXXQ43H9lExwLalMd87yuuER7+IFppgHLkId+6OcrR8CVPNE23rYQKjZ3YccdAhplkbUla8jJn5Ic27tZSOrFJiXi/VBYUvtEh/6RnyF5gA63CNb6pv8Ng/4vdGv1fldttkS1nSxDTkTbTBMFAT7hxpZvVQoxxKbLOtPgv3w55Fuulw7LmJvcquYCbDxO04RZ7laJoGeZIjz/ie9b7HMl8i6zLCH8YOwUigx7E7ovEN8jDXZGFnnVKBYhd/orf/aV8/U0H+F//iX8Sf+3N/Dvf39/h9v+/34S/8hb+AP/AH/sBP9T0kar2tW8UdDeGAu8UduOkwOpnNokxvHAA41Acc6gNpDi5QE+Hj5RGP1SOGfsDnm8+VnrGKV7jOrqk7njvT2NKx/dw+qytW9GMSM92MDdBSqztiJB5rJkZYa2nMmA/TeqhJLpgxYc4SB9eOLQ7NQc2NzjidGJ3ak5oUMEHNmSN4I0vBmNkMT/4JV+mVJnB6eDVhvF++J03DU+/lJ5r5EFAvJbIIKXInkE+euhTVyG4Y4GrXRvy6p/JJtcvVUKnhTvBm4r5OgxRt36qGTDT57dCiHVp8ufkS/dij7Kkn//r4NV6qF0xmwsfiIwOAAotLRxOphvlEPBwP7QF1x2JUApvKoFQ3f+AC2JFFaRImaOsWxcDD5S6+QxIRCVV0pAiIhqzpGxgw0U+antAS8wewsO1GOu8Bfp6i/36/fq+6tCzIaBzrqAm/dBdkUUZznKzCZ0lSP1LruI6ZGCrYS1mxXefXesBaUEokTNlTe9LrQaQQYtryk9eft+xI3MnDXKUA7+J3aIfX67AbKOVJBlKJlvESbnTkjg8XJC7RBhMGLATmFFKZKGdhxhh2tEAHEjC6MzcVcGqeMsbwfjZGaQaYcWoS9pIGqXow6rFWhqyf6J8QHamg16RACx01qR5ew1SqrlKU5SbZYJNuMIGR2TLxT4Lkk3AYCccKHQ2XkmrnJ09/wDxlEdPQu8U77Js9jGfcezM0OFdnuIlFytenr7FLd9gmlEFlEbMDnqtnLMIFLs0F316+xbeXb3VDtPRLnSDHLlaZxXq91tCkJEgQBlynb6ctopjFkkj0rrNrXnttgUW0wKFhgfxcPutkcOGYnjlOI749f4ssIi/dWacYw8Y3KNsS23iroUWZmw25Cwb+HJqDNnJ1x8Z+l+1wqS96b1lYTay8yW/0dzV2xm32lcrXJnBbB7xqO7OQeQOn9oR+ZIT8pWPyajM0atZLXaqEjtjFaAwndUVPHKAY1eIghm+JlE3bVAvWyEa4ymYcICxqz9XzKl3BG8poRAKAOakvCRKG1UQLJAEZ2+3Q6hkbOvLu18laGfaTm9TUG9gA63SNVUyvxMfiI/XXhqb5YiSNaJttlf1edqVuzmQiDoCDoDnt8d3qHc/yed0+jrzfhYQj/gwxddcD8zhExiWTRGNn8pGZNIAtCYh5bX3LJhkWlanofZivXf6f0YTbRcQU7pv8BkVLXOWlvSB28zYMo2r6m7FB27EwT1zCvIv+jKZttKg0xmiQXmACrQ2SIIEQL57KJ/zDp3+Ix+IRt0tSamxAaUPsYkwjpRMyQLvJb5jUjddkxm28ZeHfnkgYmullEjy4CBcw1mgw33V+jcYxofnYHbEMl7hd3OLQHDT0MAsyDgTGBku3xCJc4NAeFOe4STZYJAs+1yw3bYtogaqvKIe1r/fGMLIpimwEExo8F89IbaqbsSEaULWV6urHcSSq0wDLeImjP6LpGk02FaKLoGDFoJiECeqOzZhs74SpH9gApqFssR1alH2p3iXJQpB02bcs837sic4NAnx38134ydM/ZkKS4/zA56eh76HoC/VX+Ik+mz7oXw2lk8F9f6+eCmkWc5ejs0xgvc6uVU7Zj72eM+furHJjGSbKQOyL9Rd4LB51ODCMgwZJRSZSpOo4jboViIMYQf+zz7l/6j/5V//qX8Wv/dqv4Td/8zfxB//gH8Rv/MZv4I/9sT+Gf/AP/gFub29/4u8zDAMSQzTS3fJOWcRCoBCNUOAo0l/GSzVO7Os9EpdgctSpSaFyt7gj3aM6sZCaEx9lfb3NtjhUByzCBaqh4ioiWmlEvAHXab3ruVpqS9VuykG7STd4qV9oEIty1TYKIH+ZLfFcPuM6v2bapx95AAUxVuFKJ1iyojo1J6ziFbYZ9cJyEQNQU1ASJ3ro51Gu2qhze6YBMtnivrjHh+IDkpDFxjJaasEmuLSr7EqpK9Zy+vxQMBDJh6/MZiGlBI6SoshG6E2vK8TIRmq+XcdrlalUXaWTLkFSLaOlIsOeiicUfaHpk4ENmJhmUjjvUIPTrzzkwevhsYyWWEUr7NKd4rOccTj2R9WkreKVTlzLrkQe5EhsgtCEehOFjuxnMxEVdp1fY5tuNZxFqDaSDpgEiRoGxZwWBrwGxCwok7ppZHrk5Ml7LzvSeIRC0PsewUjG8aW9EBWWbPT9lmmaGUjFaMdWD7yqr1Rasohovjo1JyDhgVL1lUo8RD+fhRlO7UlRioENEESUo0ia3iaj+VIMqWHACRs8pyGH5oBmmLXW0VL1dR6cSpRdic6TSiGfTduTad4MDYqGZttNuoExBkVXYBxGDANX54EJND57na51uhzYQANNbGKxw05pS6EJGR7VN8gDalXrrFY0mLMO3nhKXDynZuVQIkSoxrhu7DgtslYDk1YxCxShhASGP0M9cDoj69+H4gF5xAdj4hKasGbTWBAE6CZ+b2ONso97z+nVLiWr/b64V93ybXbLRr45sqC0kUoF8jAHDPQeDywj5cuWwTa7fEfj5WyyS2yiBBy5Xruhg3NsnC/dq2dHgpiEBLOKV2qcHDBgES4Up/ZcPyNxCd4v3mOZ0f/QDz36qNdm5dk/syCa5VWJ4+oWMRnqFlZN0hKQIp+zmB0B4NScVPYGvFIf6r7WBlbSYQ/VAWaiCbS3PRbhAu+W71B2Jc7nM87NGYtggeWSsrevj18z9CjdqITNhSywBWe7Sanhb32LXb4jIhYBDZptgev8Gptko/QgoeRIiF1gA8XmdSON6p8tGQplvFHdvbCs1/EaccBGM3MZJ/IYVV62WqwoL5tNujfZDWVfoK6+8x3qvsY4jCppWEUr3XRGAXXt4sPyxmMZLHWQ8X75nlPerubAJYqVtbwI6QfZV3v6SvKFNv5PlyfAADeLGzjjtHgT2al4dQLLDU08xEqpER62NL/X6TVO7YmbcMRI0gSmNegH3iOJTzRxU/I8MEGLprqvsU7WauJ7e53dLm618LcTN8FZlMEERhGRAFTWZIwh8CBMFYEIM78XKckzN/kNfnj8IfqpR4wYg+XzRf5cHuX45c0vk8o1a5WdoeclMAHascUm3bCZ6StNF8acCmyt1SRdOT/WyVrTs1fxihkn1UElQHVba36KaN67gbIa2UrBAKmjJ2GZLNU03w89BseB4l1+R8ksoO9H0Rb8HOczMjShBkjt670ORNMgxUP5gLqvlXilTPCQ+OFzd+YGagKqtkIWk6lfdiVW6QpdR8jGVX6FCRPSOIUkmwY2gI2sDkBFKy7PS+89guiVwd73LLrlOft2mCRyVEGIrtM1YhczgCumLCg0Ia/dIFY0taRZi29BBp0itw1dyO3tOP7EdfCPv37qgvzP//k/jz/5J/8k/sSf+BMAgN/8zd/EX/trfw1/+S//ZfzpP/2nf+LvIzozOYB38Q7fFN8oHgwTuA6Zu1rBqDU9V9pX6RVXjQPXaTIFsI1FGVCLeJ1dIwxCuqFDpibmcY58wUK67XnwLoYFholooqv8CkVfaFKXpIVJWqHoHyc/oekaXT+K3EAOxtjFr8l+c1ql9167OjEriYZU4mKlKBGJRju2CE2I68U1TGk0ZMYay2LYMKnremCIUGhYfIi2V27kKGbD0fYtJ0Ezn/R2cYthJD4wMhH6qcdVeqXBJkJOiVyka1AhAsjXLeKF4iqleNglO3jPr4tDTi5PHVfYqeOqtR97DZ0QznIUUDMaulCDbSSIBoCu/Z7KJ00/lUk9JmCZLjldx8iVoWUTJQEQVc8AEvk6kb/IS9IS32rbhfMd2UgNa8rmnSkbcRBrgmQSJvqQAF6NIFKwiCENBmhHmgwl0EWaqDRIlYYha2Q5TOQBKIjFois48Z1NL370Ku9421CIiWaVrnQ9uYpXJBXN+s9lsuQ11vGBJVP8JEyUWW8nq3r/ZbTELqf5MA5idCXlEE/VE/WZfYtFssCtv8VT/YRje1REWWxjXOfXmsI4+AGfrT7DIlow9GJmwMpEI4xDpH2KPnolBezWOxRdgR8df4Tn5hnLgPrUxCU6TZEJmjFG/SdCwljECyQhP3+h/lxlbBT29R67hMmDoWWxISEcVcv371gd+Z5GLBDSKIUbyAoWI1DVVbhb3DGoZpYJSVbBqWGq6mPxiPviHp+t2OAIrlGMR50nNlTu637ssco4KV3GS/QTcxbeLd99Qknohg7JKsG+3NNv4o36V27zWb426/PFVHydXWuYSRiQEnK9uGbaac/JVuKTVy/NbFo+92eskzVTSGfN6RSQ9buMlnp+yKZTJv9C0hEZjryEZV52JYKQ5k/RJr9fcUv1XD2j6Hn9ZyG3VTJNlQyLwASw1mKRsGhfhDxXRz/CWDbBoQk1IG6aJmRBhjCam1QDFDHldJ3vKGcMWbjIxrMbO7LGkx288XgpX7SJuI6uEdoQ+4YSiiRIVOYh9+x1fs1Mh76EcQafrz5XSkQ3dopPjIIILnAqXZmmCTazSvVyziE01A3L5xMYnq0W1M72Y8+/exyxDJe4zq65iZ1lbt7TGzVOI7e282BpnEYNprvKr9SIKcV/P/ZqpPTeAxY6DEg8J9jrZI00TPGx+KgY0W7qdCMR2AB3izvcF/fw3uvnJ6nBSUiTrHjJzi3DgCS4a/CDFtTd0OHQHXhuz4OsyEVwYHH9xfILylQwqqY+j3I9i5qugZkMVikb1jDmGfDV5is2KvPwCR6cQEd89ovmvexKbj3NBNvO2vRZOpUECdGsKZGqN4sbvdev8ivELkbg6PkQ1LIMFiV4SzIqoiACLBQ/GQcxjs0ReZzDTEZ9THmSo596atfDlPkU8zbk3fIdTcJ+VORr5CK8X77ncGM2Gctm/tycdRhmjUU9EpEqwX6xi3kmOpLCZAN3ak66oWvHlmzz+Xo792cYa7Q28ZNHHucY2xF+ZO0UWmJBnXHc2rpA/TTivZDmMwmYyLtJNnqvBjZQ8/7N4gbLbIltsqUnZt78SwZLFmZwqVOJoAwY5TOIHZUVUg+FNlS55M/6+qkK8q7r8Pf+3t/Dr//6r+s/s9bij/7RP4q/83f+zu/6Z9q2Rdu+shlPp9P8zYDltMTkaHiohxrpmKIuahRjgdqSf7yOaQQ4VSd2e95gqAccugNggLqt0fUsOqpLhUtzQVVV2CZbpHFKQkbxrOjD3vNBtsQSbdfi5cJpt2DHWsM3NjVEIkVRhGgg/SRCBNMZ2J7A+LIpyS43DFoIB2rNfcdV3L7e6wFojIFJjGrgTMvCdqxGIAIfUhaM6fUtLs1FCyUYwHgD1zuszArhxAN3naxRtAU+nD4AAK4sWb6mM7AjHcV1V2MZzhHrPZmnQ8NDK7ShavCu7TWu4itEU4TIR/CNR+ADBH2AtuUqO7CBmuICy3VhW1Ga4nuPtmYQSj/13Ez4DJfiAtMaPBQPbHK8Re96Dd5oSrLjL8MFm3iD280tYj8zWUeDATwYpQAFAD94oAeqskLjeWj6hKzyzGe6Em+HlglyU0QkEphCGbgAK79CUxHD17ueibBzapqJDEY7oms5ATP5q0bbtlanYlHAw90PHjW4Wo8RoyoruM5pQSavsptJEdOAE05aKDvvEI3U6VaGE++oo3TAGovC09zmOqf0gjzOUfpXhrs0ROVQInX8bP3gsW/2GCLKH84dsViX/qKmo6Zv0Nue8eYNqTpN1WjhX7YlQhviWB6prQuXKMcSx/ZIjKOPcDlf+LlMHl3Lqd3Q8nOLbITCz2jMzuHW3mIRLRAGIa6CK5QX/hxdwDWwXGNoWUjAACHY0E5+QupTmN7g2B65RnY9tz1DhBt7w/h2G6vePfUpUp/ys3YNyomm3r7t4QfGkPuQjv+mazghaoFTeWLTPVGT2rc9+rpHOtFY2lQNRoxIp5SDgoqfletJCTCDwcIvMLVEcp2OJ7R+ponAo22pNx36AatwhSCiOd02PB+mbsIuJMrUNx6Tn+A6FoJVRa3uqT9hGS+xdEukNkUwBDCdYXLk0MINDk3L+z2YAkz1hI/lR91w7ZId3OjQ9z228RZTP6FsSzx3TE/cLDfIXIa6r/FyeMGECVVRkWgDi7Ivib9ragwBJRShYQO9yBb8e7zH0A+YmgmX+qJpev3Yoxypl63KCp3tsIgXOHUnDOHwylE2AYZmUMPWOI1ajDrrYHsLNBzePLVPNKSB8om2bhVN2hUdNzIjTYZucupHKesSfdjjfDqj7EvSLsIUgxlQ1RUym2EaJ5y7MypDcpZNLQLPM2EyE/GIVY8gZBqz7S0uFc16IolqhgapSzGNE5q2UZKYGCTHcYQZDfqKTcHYU+J1aS+o+xqLaIGFXaC6VGiCBqPjFPJUnphuGQY4HA/K0b6M9N6ME5Np4yDGuT/TnDqf5zCA9RYYAYxAURccdLWUgQU24POOWAq43sG0BuXI90wKKtNxkj+MA+IxRuEKPTN//BX5CLazeGmI8SyaQtNzTcjiPvccJNUD5VSxjRGlEWk+M2mpLmpc6gtcT5nJpeX7OIwD2pqwAdtadOiwCLj1cb1D0RdErU4p0pHDITc4FtaWg5xTdcLHy0eEQ4j7l3sdIsigJp1SfH34Gr+y+xXs7I6bsJqNsJsYKHcoD/Rn1BPapsXhfFCE87k/o25q+MjjNr/FYlrAdx5+IB536OgpOOOMyrH5T2yCsRmx7/eaGoqBzxVjDMPmzGtjYkMGQZ3bM2rLAWXkI7Rdi2+P39K/4emJyF0O33Czkk8564SOxBQ7WdYcHWVmDk69fvVIClzRFxp0GLsYxVDARU7JPOXAZ5XtLNACZVFiDBlM5kc+PzHyzG98A5cQ9RgPlBhhBJ7aJw5IzKC40izM0Lbzhqnq0NWd5tggAOqyVr38KlshNjHKkebsz7LPYI0lgtPQCyGfn+kNxpHm4sEPMK1BZEjfsxO35Ofx/Eki6WB4Tp3PPHPe/m8/6eunKsifn58xjiPu7u4++ed3d3f47d/+7d/1z/zZP/tn8Wf+zJ/5p/75H/9Df/yn+at/8frF6xevX7x+8frF6xevX7x+8frF6//vXy8vL1iv1z/Vn/n/OWXl13/91/Frv/Zr+v8fj0d85zvfwddff/1T/7C/eP23v87nM7788kv8f9u795Am+z6O45+5u02pZamZWs1OlOUhD1MxqaCkkJKCMAuDlf05yyUFVpRF2ZHCUDO9CfujpKLSDlBmq7QiaWkL7aCdMOmgBaW5yGK77j9u8Hl87OHRW7ffs6vPC/bPhbv25suIb+PatZaWFgwfPlx0jqxwto7D2ToOZ+tYnK/jcLaOw9k6Tnt7O7RaLby8vPr93H4t5D4+PlAqlWhtbe1xvLW1FX5+fr98jlqthlqt7nXc09OTbwQHGT58OGfrIJyt43C2jsPZOhbn6zicreNwto7j5ub2v//oP5/Tnz9WqVSIioqCyWTqPma322EymRAXF9fvFyciIiIi+t31+5KVzMxM6PV66HQ6xMTEIDc3F1artfuuK0RERERE1Hf9XshTUlLw8eNHbNu2DR8+fEB4eDiuXr3a64ue/41arUZ2dvYvL2OhgeFsHYezdRzO1nE4W8fifB2Hs3UcztZxBjJbhfRP7s1CRERERESDov9XnRMRERER0aDhQk5EREREJBAXciIiIiIigbiQExEREREJ5NSFvKCgAOPHj4e7uztiY2Nx//59Z768bFVXVyMpKQkBAQFQKBQoLy8XnSQbe/bsQXR0NDQaDXx9fbFkyRI0NjaKzpKFwsJChIWFdf84RVxcHK5cuSI6S5b27t0LhUIBo9EoOsXlbd++HQqFoscjKChIdJZsvH37FitXroS3tzc8PDwQGhqKBw8eiM6ShfHjx/d67yoUChgMBtFpLs9ms2Hr1q2YMGECPDw8MGnSJOzcuRP9uW+K0xby06dPIzMzE9nZ2airq8OMGTOwYMECtLW1OStBtqxWK2bMmIGCggLRKbJTVVUFg8GAmpoaVFZW4ufPn5g/fz6sVqvoNJc3duxY7N27F7W1tXjw4AHmzp2LxYsX4/Hjx6LTZMVsNqOoqAhhYWGiU2QjODgY79+/737cuXNHdJIsfP78GfHx8RgyZAiuXLmCJ0+e4ODBgxg5cqToNFkwm8093reVlZUAgOTkZMFlrm/fvn0oLCxEfn4+nj59in379mH//v3Iy8vr8zmcdtvD2NhYREdHIz8/H8Dfv/A5btw4rF27FllZWc5I+C0oFAqUlZVhyZIlolNk6ePHj/D19UVVVRVmz54tOkd2vLy8cODAAaxZs0Z0iix0dnYiMjISR44cwa5duxAeHo7c3FzRWS5t+/btKC8vh8ViEZ0iO1lZWbh79y5u374tOuW3YDQacfnyZTx//hwKhUJ0jktbtGgRRo8ejWPHjnUfW7p0KTw8PHDixIk+ncMpn5D/+PEDtbW1SEhI+NcLu7khISEB9+7dc0YC0aBob28H8PfiSIPHZrPh1KlTsFqtiIuLE50jGwaDAQsXLuzxby8N3PPnzxEQEICJEyciNTUVb968EZ0kCxcvXoROp0NycjJ8fX0RERGBP//8U3SWLP348QMnTpxAWloal/FBMHPmTJhMJjQ1NQEAHj16hDt37iAxMbHP5+j3L3X+E58+fYLNZuv1a56jR4/Gs2fPnJFANGB2ux1GoxHx8fEICQkRnSML9fX1iIuLw/fv3zFs2DCUlZVh+vTporNk4dSpU6irq4PZbBadIiuxsbE4fvw4pk6divfv32PHjh2YNWsWGhoaoNFoROe5tFevXqGwsBCZmZnYvHkzzGYz1q1bB5VKBb1eLzpPVsrLy/HlyxesWrVKdIosZGVloaOjA0FBQVAqlbDZbMjJyUFqamqfz+GUhZxIDgwGAxoaGni96CCaOnUqLBYL2tvbcfbsWej1elRVVXEpH6CWlhZkZGSgsrIS7u7uonNk5d8/8QoLC0NsbCwCAwNx5swZXmo1QHa7HTqdDrt37wYAREREoKGhAUePHuVCPsiOHTuGxMREBAQEiE6RhTNnzuDkyZMoLS1FcHAwLBYLjEYjAgIC+vzedcpC7uPjA6VSidbW1h7HW1tb4efn54wEogFJT0/H5cuXUV1djbFjx4rOkQ2VSoXJkycDAKKiomA2m3H48GEUFRUJLnNttbW1aGtrQ2RkZPcxm82G6upq5Ofno6urC0qlUmChfIwYMQJTpkzBixcvRKe4PH9//17/GZ82bRrOnTsnqEiempubcf36dZw/f150imxs3LgRWVlZWL58OQAgNDQUzc3N2LNnT58XcqdcQ65SqRAVFQWTydR9zG63w2Qy8XpR+r8mSRLS09NRVlaGGzduYMKECaKTZM1ut6Orq0t0hsubN28e6uvrYbFYuh86nQ6pqamwWCxcxgdRZ2cnXr58CX9/f9EpLi8+Pr7XbWWbmpoQGBgoqEieSkpK4Ovri4ULF4pOkY1v377Bza3nSq1UKmG32/t8DqddspKZmQm9Xg+dToeYmBjk5ubCarVi9erVzkqQrc7Ozh6fzrx+/RoWiwVeXl7QarUCy1yfwWBAaWkpLly4AI1Ggw8fPgAAPD094eHhIbjOtW3atAmJiYnQarX4+vUrSktLcevWLVRUVIhOc3kajabX9xyGDh0Kb29vfv9hgDZs2ICkpCQEBgbi3bt3yM7OhlKpxIoVK0Snubz169dj5syZ2L17N5YtW4b79++juLgYxcXFotNkw263o6SkBHq9Hn/8wauWB0tSUhJycnKg1WoRHByMhw8f4tChQ0hLS+v7SSQnysvLk7RaraRSqaSYmBippqbGmS8vWzdv3pQA9Hro9XrRaS7vV3MFIJWUlIhOc3lpaWlSYGCgpFKppFGjRknz5s2Trl27JjpLtubMmSNlZGSIznB5KSkpkr+/v6RSqaQxY8ZIKSkp0osXL0RnycalS5ekkJAQSa1WS0FBQVJxcbHoJFmpqKiQAEiNjY2iU2Slo6NDysjIkLRareTu7i5NnDhR2rJli9TV1dXnczjtPuRERERERNSb036pk4iIiIiIeuNCTkREREQkEBdyIiIiIiKBuJATEREREQnEhZyIiIiISCAu5EREREREAnEhJyIiIiISiAs5EREREZFAXMiJiIiIiATiQk5EREREJBAXciIiIiIigbiQExEREREJ9BeUehFDjr4q6wAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "seed(2) \n", + "run_pf1(N=100000, iters=8, plot_particles=True, \n", + " xlim=(0,8), ylim=(0,8))" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "147e1c12", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "final position error, variance:\n", + "\t [ -2.688 -31.47 ] [47.065 47.03 ]\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "seed(6) \n", + "run_pf1(N=5000, plot_particles=True, ylim=(-20, 20))" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "e27c4408", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "final position error, variance:\n", + "\t [ 0.035 -0.077] [0.007 0.009]\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "seed(6) \n", + "run_pf1(N=5000, plot_particles=True, initial_x=(1,1, np.pi/4))" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "a41b3dc3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cumulative sume is [0.1 0.3 0.4 1. ]\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def resample_from_index(particles, weights, indexes):\n", + " particles[:] = particles[indexes]\n", + " weights.resize(len(particles))\n", + " weights.fill(1.0 / len(weights))\n", + "\n", + "from kf_book.pf_internal import plot_cumsum\n", + "print('cumulative sume is', np.cumsum([.1, .2, .1, .6]))\n", + "plot_cumsum([.1, .2, .1, .6])" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "0f998829", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def multinomal_resample(weights):\n", + " cumulative_sum = np.cumsum(weights)\n", + " cumulative_sum[-1] = 1. # avoid round-off errors\n", + " return np.searchsorted(cumulative_sum, random(len(weights))) \n", + "\n", + "from kf_book.pf_internal import plot_multinomial_resample\n", + "plot_multinomial_resample([.1, .2, .3, .4, .2, .3, .1])" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "d2479b6b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def residual_resample(weights):\n", + " N = len(weights)\n", + " indexes = np.zeros(N, 'i')\n", + "\n", + " # take int(N*w) copies of each weight\n", + " num_copies = (N*np.asarray(weights)).astype(int)\n", + " k = 0\n", + " for i in range(N):\n", + " for _ in range(num_copies[i]): # make n copies\n", + " indexes[k] = i\n", + " k += 1\n", + "\n", + " # use multinormial resample on the residual to fill up the rest.\n", + " residual = w - num_copies # get fractional part\n", + " residual /= sum(residual) # normalize\n", + " cumulative_sum = np.cumsum(residual)\n", + " cumulative_sum[-1] = 1. # ensures sum is exactly one\n", + " indexes[k:N] = np.searchsorted(cumulative_sum, random(N-k))\n", + "\n", + " return indexes\n", + "\n", + "from kf_book.pf_internal import plot_residual_resample\n", + "plot_residual_resample([.1, .2, .3, .4, .2, .3, .1])" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "b497c7bd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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YAAAAAARKz549VVFR0WLy06rEp76+Xsb5b9Rzxqv6unZMQAIMqinBDiC4Ut4uVWRtnRqcDn01Oi/Y4UiSapQQ7BDC0oi3X1JVbTclO09q5+iZwQ4ndBUHO4DWGRH/kqoiuinZc1I7zzCe4S7cxjNBNcEOIaSlxJcqMqJODR6HvjqTd/UannL1muooQvFzUDDUFFvjs9eZeilt3deqr68PTOLTyBbdSfLEtym4kBAX7ACCK8IZqwjDrginU4oLjfEMjSjCT6QzRhFGJ0U6zyu+gz+vmxUd7ABaJ9IRo4iITor0nFd8mMSMpoXfePJO3JwIR6wiIuyK8Dil6KvYV7y3B1wofg4KhvB4XwosNjcAAAAAYHkkPgAAAAAsj8QHAAAAgOWR+AAAAACwPBIfAAAAAJZH4gMAAADA8kh8AAAAAFgeiQ8AAAAAyyPxAQAAAGB5JD4AAAAALI/EBwAAAIDlkfgAAAAAsDwSHwAAAACWR+IDAAAAwPJIfAAAAABYHokPAAAAAMsj8QEAAABgeSQ+AAAAACyPxAcAAACA5ZH4AAAAALA8Eh8AAAAAlhfZrmc/dVCqKJHqTkuORKnvA1LXzHZtEggHB8ulkp3S6bNSYmfpgRFSpivYUXVsB09JJRXS6Top0SE90FfK7BrsqJoWbvHCIriutx19aD3lB6WdJdLZ01LnRGnEA5KLMQ1F7ZP41JRLpZOl4+9JNrtki5AMj/ThAqlHrpRXLCXwKQ8dT/lRafJ86b1PJLtdirBJHkNasErKvVEqXiC50oIdZcdSXiNNLpXeOy7Zbd8bkw+l3B5ScZ7kSgh2lBeFW7ywCK7rbUcfWs/Rcmn+ZOmT98yLeuOYrlog3ZgrLSiW0hjTUBL4qW415dKWoVLVPvOx4ZY835n/SlLVXvN4TXnAmwZCWflRaehkad9h87HbLX3XYP4rSXsPmcfLjwYvxo6mvEYaukXaV2U+dhvSdx7zX0naW2UeL68JVoS+wi1eWATX9bajD63naLk0eah0+P9j6nZLDd9dvKgf2mseP8qYhpLAJz6lk6X6mosv5ksZbvN46ZSANw2EssnzpZpzF98TL+V2m8enLLiqYXVok0ulmvqLicOl3IZ5fErp1YyqaeEWLyyC63rb0YfWM3+ydK6m+Yv6uRppwZSrGhaaF9jE59RB8yvcpl7YjQy3dPxdsz7QARwsN6e3NfX+2Mjtlt792KyP9nXwlDldrKkkopHbkN49btYPpnCLFxbBdb3t6EPrKT9oTm9rzUX943fN+ggJgU18KkrMeautYbNLFZsD2jwQqkp2mtN/W8Nulzbvat94YG4MYLe1rq7dJm2uaN94WhJu8cIiuK63HX1oPTtLruyivosxDRWBTXzqTpsLu1rDFiHVVQe0eSBUnT5rLkJvjQibVH2mfeOBuRvaFY1JXfvG05JwixcWwXW97ehD6zl7+srG9AxjGioCm/g4Es3dLFrD8EiOLgFtHghViZ3Nnbdaw2NIXeLbNx6YW0Bf0Zg42jeeloRbvLAIruttRx9aT+fEKxvTeMY0VAQ28en7QMtzWBsZbrM+0AE8MKLlqcCN3G7pgdvaNx6Y971pab1MI7dh1g+mcIsXFsF1ve3oQ+sZ8cCVXdRvY0xDRWATn66ZUo+cluey2uzmnvVdMwLaPBCqMl1Szg0tTwm22837+WSw7X+7y+wq5fRoed2M3WbeHycjyDcHDbd4YRFc19uOPrQeV6Z0Q07rLuo35kouxjRUBH4767w1UnRC0y9wm908nlcc8KaBULZmoZQQ2/T7pN1uHi9ecFXD6tDW5EkJ0U0nE3abebw47yoG1Yw1eeEVLyyC63rb0YfWs3CNFJvQ/EU9NsG8iSlCRuATnwSXNG6flJxtPrbZpYioiy/25GzzOHcnRgfjSpP2rZGy//8fP3a7FBV58T0zO8M87koLXowdjStB2jdOyk42H9ttUlTExcQiO9k87koIVoS+wi1eWATX9bajD60nzSWt2Sdl/H9M7XYpMuriRT0j2zyexpiGksh2OWuCS7pvj7kXfcVmc4cSRxdz3ipf4aIDc6VJe14279OzeZe5e1uXeHNND9PbgsOVIO25z7zvzeYKcze0Lg5zjUwoThcLt3hhEVzX244+tJ40l/TyHvM+Pbs2m7u3xXcx1/QwvS0ktU/i06hrpvkDwEemy/xB6Mjsav6Ei3CLFxbBdb3t6EPrcWWaPwh5gZ/qBgAAAAAhhsQHAAAAgOWR+AAAAACwPBIfAAAAAJZH4gMAAADA8kh8AAAAAFgeiQ8AAAAAyyPxAQAAAGB5JD4AAAAALI/EBwAAAIDlkfgAAAAAsDwSHwAAAACWR+IDAAAAwPJIfAAAAABYHokPAAAAAMsj8QEAAABgeSQ+AAAAACyPxAcAAACA5ZH4AAAAALA8Eh8AAAAAlkfiAwAAAMDyIq+kslF/Xqo/016xXD3fBjuA4PLUnpOnrk4em1v6NjTGMzSiCD8NtRfkqTuvBtsFnengz+tm1Qc7gNZpqLsgT8R5NXgu6EyYxIymhd948k7cHE/dOXki6uTxuK/uZyHe2wMuFD8HBUN4vC+17Er+DpthGEZLlWpra9WjRw+dOdNxnxwAAAAAQk98fLyOHz8up9PZbL1WfePjdDqVkpKio0ePBiS4YBs8eLD2798f7DDwPYwJ2hPPL6BlvE5CE+OC9mKl59aQIUNaTHqkK5jqFhERofj4+DYFFSrsdrtl/harYEzQnnh+AS3jdRKaGBe0Fys9tyIiWrdtQas3N5g1a9YPDibUWOlvsQrGBO2J5xfQMl4noYlxQXux0nOrtX9Lq9b4AAAAAEA4YztrAAAAAJZH4gMAAADA8kh8AAAAAFgeiQ8AAAAAyyPxAQAAAGB5/wNeDXmpZ8iF1wAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kf_book.pf_internal import plot_stratified_resample\n", + "plot_stratified_resample([.1, .2, .3, .4, .2, .3, .1])" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "182ab04d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def stratified_resample(weights):\n", + " N = len(weights)\n", + " # make N subdivisions, chose a random position within each one\n", + " positions = (random(N) + range(N)) / N\n", + "\n", + " indexes = np.zeros(N, 'i')\n", + " cumulative_sum = np.cumsum(weights)\n", + " i, j = 0, 0\n", + " while i < N:\n", + " if positions[i] < cumulative_sum[j]:\n", + " indexes[i] = j\n", + " i += 1\n", + " else:\n", + " j += 1\n", + " return indexes\n", + "\n", + "from kf_book.pf_internal import plot_systematic_resample\n", + "plot_systematic_resample([.1, .2, .3, .4, .2, .3, .1])" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "c8d9f4bb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def systematic_resample(weights):\n", + " N = len(weights)\n", + "\n", + " # make N subdivisions, choose positions \n", + " # with a consistent random offset\n", + " positions = (np.arange(N) + random()) / N\n", + "\n", + " indexes = np.zeros(N, 'i')\n", + " cumulative_sum = np.cumsum(weights)\n", + " i, j = 0, 0\n", + " while i < N:\n", + " if positions[i] < cumulative_sum[j]:\n", + " indexes[i] = j\n", + " i += 1\n", + " else:\n", + " j += 1\n", + " return indexes\n", + "\n", + "a = [.1, .2, .3, .4, .2, .3, .1]\n", + "np.random.seed(4)\n", + "plot_multinomial_resample(a)\n", + "plot_residual_resample(a)\n", + "plot_systematic_resample(a)\n", + "plot_stratified_resample(a)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/kalman_and_bayesian_filters/13-Smoothing.ipynb b/kalman_and_bayesian_filters/13-Smoothing.ipynb new file mode 100644 index 0000000..a3c4947 --- /dev/null +++ b/kalman_and_bayesian_filters/13-Smoothing.ipynb @@ -0,0 +1,344 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "353cae60", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "\n", + "#format the book\n", + "import book_format\n", + "book_format.set_style()\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "data = [10.1, 10.2, 9.8, 10.1, 10.2, 10.3, \n", + " 10.1, 9.9, 10.2, 10.0, 9.9, 11.4]\n", + "plt.plot(data)\n", + "plt.xlabel('time')\n", + "plt.ylabel('position');" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "496e992b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data2 = [11.3, 12.1, 13.3, 13.9, 14.5, 15.2]\n", + "plt.plot(data + data2);" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a0e4e9a3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data3 = [9.8, 10.2, 9.9, 10.1, 10.0, 10.3, 9.9, 10.1]\n", + "plt.plot(data + data3);" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "689a1330", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "from numpy import random\n", + "from numpy.random import randn\n", + "import matplotlib.pyplot as plt\n", + "from filterpy.kalman import KalmanFilter\n", + "from filterpy.common import Q_discrete_white_noise\n", + "import kf_book.book_plots as bp\n", + "\n", + "def plot_rts(noise, Q=0.001, show_velocity=False):\n", + " random.seed(123)\n", + " fk = KalmanFilter(dim_x=2, dim_z=1)\n", + "\n", + " fk.x = np.array([0., 1.]) # state (x and dx)\n", + "\n", + " fk.F = np.array([[1., 1.],\n", + " [0., 1.]]) # state transition matrix\n", + "\n", + " fk.H = np.array([[1., 0.]]) # Measurement function\n", + " fk.P*= 10. # covariance matrix\n", + " fk.R = noise # state uncertainty\n", + " fk.Q = Q_discrete_white_noise(dim=2, dt=1., var=Q) # process uncertainty\n", + "\n", + " # create noisy data\n", + " zs = np.asarray([t + randn()*noise for t in range (40)])\n", + "\n", + " # filter data with Kalman filter, than run smoother on it\n", + " mu, cov, _, _ = fk.batch_filter(zs)\n", + " M, P, C, _ = fk.rts_smoother(mu, cov)\n", + "\n", + " # plot data\n", + " if show_velocity:\n", + " index = 1\n", + " print('gu')\n", + " else:\n", + " index = 0\n", + " if not show_velocity:\n", + " bp.plot_measurements(zs, lw=1)\n", + " plt.plot(M[:, index], c='b', label='RTS')\n", + " plt.plot(mu[:, index], c='g', ls='--', label='KF output')\n", + " if not show_velocity:\n", + " N = len(zs)\n", + " plt.plot([0, N], [0, N], 'k', lw=2, label='track') \n", + " plt.legend(loc=4)\n", + " plt.show()\n", + " \n", + "plot_rts(7.)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "b50de9bd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_rts(7.,show_velocity=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "daaffce8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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QW7gGEAAAwDEEQAAAAMcQAAEAABxDAAQAAHAMARAAAMAxBEAAAADHEAABAAAcQwAEAABwDAEQAADAMQRAAAAAxxAAAQAAHEMABAAAcAwBEAAAwDEEQAAAAMcQAAEAABxDAAQAAHAMARAAAMAxBEAAAADHEAABAAAcQwAEAABwDAEQAADAMQRAAAAAxxAAAQAAHEMABAAAcAwBEAAAwDEEQAAAAMcQAAEAABxDAAQAAHAMARAAAMAxBEAAAADHEAABAAAcQwAEAABwDAEQAADAMQRAAAAAxxAAAQAAHEMABAAAcAwBEAAAwDEEQAAAAMcQAAEAABxDAAQAAHAMARAAAMAxBEAAAADHEAABAAAcQwAEAABwDAEQAADAMQRAAAAAxxAAAQAAHEMABAAAcAwBEAAAwDEEQAAAAMcQAAEAABxDAAQAAHAMARAAAMAxBEAAAADHEAABAAAcQwAEAABwDAEQAADAMQRAAAAAxxAAAQAAHEMABAAAcAwBEAAAwDEEQAAAAMcQAAEAABxDAAQAAHAMARAAAMAx/w9+SwUJSb/UcAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kf_book.book_plots import figsize\n", + "from kf_book.smoothing_internal import *\n", + "\n", + "with figsize(y=2):\n", + " show_fixed_lag_numberline()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "25f78f13", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "standard deviation fixed-lag: 2.616\n", + "standard deviation kalman: 3.564\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from filterpy.kalman import FixedLagSmoother, KalmanFilter\n", + "import numpy.random as random\n", + "\n", + "fls = FixedLagSmoother(dim_x=2, dim_z=1, N=8)\n", + "\n", + "fls.x = np.array([0., .5])\n", + "fls.F = np.array([[1.,1.],\n", + " [0.,1.]])\n", + "\n", + "fls.H = np.array([[1.,0.]])\n", + "fls.P *= 200\n", + "fls.R *= 5.\n", + "fls.Q *= 0.001\n", + "\n", + "kf = KalmanFilter(dim_x=2, dim_z=1)\n", + "kf.x = np.array([0., .5])\n", + "kf.F = np.array([[1.,1.],\n", + " [0.,1.]])\n", + "kf.H = np.array([[1.,0.]])\n", + "kf.P *= 200\n", + "kf.R *= 5.\n", + "kf.Q = Q_discrete_white_noise(dim=2, dt=1., var=0.001)\n", + "\n", + "N = 4 # size of lag\n", + "\n", + "nom = np.array([t/2. for t in range (0, 40)])\n", + "zs = np.array([t + random.randn()*5.1 for t in nom])\n", + "\n", + "for z in zs:\n", + " fls.smooth(z)\n", + " \n", + "kf_x, _, _, _ = kf.batch_filter(zs)\n", + "x_smooth = np.array(fls.xSmooth)[:, 0]\n", + "\n", + "\n", + "fls_res = abs(x_smooth - nom)\n", + "kf_res = abs(kf_x[:, 0] - nom)\n", + "\n", + "plt.plot(zs,'o', alpha=0.5, label='zs')\n", + "plt.plot(x_smooth, label='FLS')\n", + "plt.plot(kf_x[:, 0], label='KF', ls='--')\n", + "plt.legend(loc=4)\n", + "\n", + "print(f'standard deviation fixed-lag: {np.mean(fls_res):.3f}')\n", + "print(f'standard deviation kalman: {np.mean(kf_res):.3f}')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2c536e7f", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/kalman_and_bayesian_filters/14-Adaptive-Filtering.ipynb b/kalman_and_bayesian_filters/14-Adaptive-Filtering.ipynb new file mode 100644 index 0000000..932b3a7 --- /dev/null +++ b/kalman_and_bayesian_filters/14-Adaptive-Filtering.ipynb @@ -0,0 +1,1154 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "id": "bde1a472", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "\n", + "import book_format\n", + "book_format.set_style()\n", + "\n", + "from math import sin, cos, radians\n", + "\n", + "def angle_between(x, y):\n", + " return min(y-x, y-x+360, y-x-360, key=abs)\n", + "\n", + "class ManeuveringTarget(object): \n", + " def __init__(self, x0, y0, v0, heading):\n", + " self.x = x0\n", + " self.y = y0\n", + " self.vel = v0\n", + " self.hdg = heading\n", + " \n", + " self.cmd_vel = v0\n", + " self.cmd_hdg = heading\n", + " self.vel_step = 0\n", + " self.hdg_step = 0\n", + " self.vel_delta = 0\n", + " self.hdg_delta = 0\n", + " \n", + " def update(self):\n", + " vx = self.vel * cos(radians(90-self.hdg))\n", + " vy = self.vel * sin(radians(90-self.hdg))\n", + " self.x += vx\n", + " self.y += vy\n", + " \n", + " if self.hdg_step > 0:\n", + " self.hdg_step -= 1\n", + " self.hdg += self.hdg_delta\n", + "\n", + " if self.vel_step > 0:\n", + " self.vel_step -= 1\n", + " self.vel += self.vel_delta\n", + " return (self.x, self.y)\n", + "\n", + " def set_commanded_heading(self, hdg_degrees, steps):\n", + " self.cmd_hdg = hdg_degrees\n", + " self.hdg_delta = angle_between(self.cmd_hdg, \n", + " self.hdg) / steps\n", + " if abs(self.hdg_delta) > 0:\n", + " self.hdg_step = steps\n", + " else:\n", + " self.hdg_step = 0\n", + " \n", + " def set_commanded_speed(self, speed, steps):\n", + " self.cmd_vel = speed\n", + " self.vel_delta = (self.cmd_vel - self.vel) / steps\n", + " if abs(self.vel_delta) > 0:\n", + " self.vel_step = steps\n", + " else:\n", + " self.vel_step = 0 \n", + " \n", + "\n", + "\n", + "from numpy.random import randn\n", + "\n", + "class NoisySensor(object):\n", + " def __init__(self, std_noise=1.):\n", + " self.std = std_noise\n", + "\n", + " def sense(self, pos):\n", + " \"\"\"Pass in actual position as tuple (x, y). \n", + " Returns position with noise added (x,y)\"\"\"\n", + " \n", + " return (pos[0] + (randn() * self.std), \n", + " pos[1] + (randn() * self.std))\n", + "\n", + "import kf_book.book_plots as bp\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def generate_data(steady_count, std):\n", + " t = ManeuveringTarget(x0=0, y0=0, v0=0.3, heading=0)\n", + " xs, ys = [], []\n", + "\n", + " for i in range(30):\n", + " x, y = t.update()\n", + " xs.append(x)\n", + " ys.append(y)\n", + "\n", + " t.set_commanded_heading(310, 25)\n", + " t.set_commanded_speed(1, 15)\n", + "\n", + " for i in range(steady_count):\n", + " x, y = t.update()\n", + " xs.append(x)\n", + " ys.append(y)\n", + "\n", + " ns = NoisySensor(std)\n", + " pos = np.array(list(zip(xs, ys)))\n", + " zs = np.array([ns.sense(p) for p in pos])\n", + " return pos, zs\n", + "\n", + "sensor_std = 2.\n", + "track, zs = generate_data(50, sensor_std)\n", + "plt.figure()\n", + "bp.plot_measurements(*zip(*zs), alpha=0.5)\n", + "plt.plot(*zip(*track), color='b', label='track')\n", + "plt.axis('equal')\n", + "plt.legend(loc=4)\n", + "bp.set_labels(title='Track vs Measurements', x='X', y='Y')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "dc1fa687", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from filterpy.kalman import KalmanFilter\n", + "from filterpy.common import Q_discrete_white_noise\n", + "\n", + "def make_cv_filter(dt, std):\n", + " cvfilter = KalmanFilter(dim_x = 2, dim_z=1)\n", + " cvfilter.x = np.array([0., 0.])\n", + " cvfilter.P *= 3\n", + " cvfilter.R *= std**2\n", + " cvfilter.F = np.array([[1, dt],\n", + " [0, 1]], dtype=float)\n", + " cvfilter.H = np.array([[1, 0]], dtype=float)\n", + " cvfilter.Q = Q_discrete_white_noise(dim=2, dt=dt, var=0.02)\n", + " return cvfilter\n", + "\n", + "def initialize_filter(kf, std_R=None):\n", + " \"\"\" helper function - we will be reinitialing the filter\n", + " many times.\n", + " \"\"\"\n", + " kf.x.fill(0.)\n", + " kf.P = np.eye(kf.dim_x) * .1\n", + " if std_R is not None:\n", + " kf.R = np.eye(kf.dim_z) * std_R\n", + " \n", + "sensor_std = 2.\n", + "dt = 0.1\n", + "\n", + "# initialize filter\n", + "cvfilter = make_cv_filter(dt, sensor_std)\n", + "initialize_filter(cvfilter)\n", + "\n", + "track, zs = generate_data(50, sensor_std)\n", + "\n", + "# run it\n", + "z_xs = zs[:, 0]\n", + "kxs, _, _, _ = cvfilter.batch_filter(z_xs)\n", + "\n", + "# plot results\n", + "bp.plot_track(track[:, 0], dt=dt)\n", + "bp.plot_filter(kxs[:, 0], dt=dt, label='KF')\n", + "bp.set_labels(title='Track vs KF', x='time (sec)', y='X');\n", + "plt.legend(loc=4);" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "7614ac7c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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afn5+BmCdnvRGU5IahmH88ccfRrNmzQx3d3fDx8fHePjhh42DBw/abHPtPV24cMGm/Np9HRkZecOYRUT+yWQYGoEkIiIiIlKYaUyBiIiIiEghp6RARERERKSQU1IgIiIiIlLIKSkQERERESnklBSIiIiIiBRySgpERERERAo5LV4GWCwWzp49i7e39x0vQS8iIiIikpcZhkFCQgJBQUE4ONy6LUBJAVdX4QwODrZ3GCIiIiIi2e7UqVOULl36ltsoKQC8vb2BqxfMx8fHztGIiIiIiNy7+Ph4goODrc+6t6KkAKxdhnx8fJQUiIiIiEiBcifd4zXQWERERESkkFNSICIiIiJSyCkpEBEREREp5JQUiIiIiIgUckoKREREREQKOSUFIiIiIiKFnJICEREREZFCTkmBiIiIiEghp6RARERERKSQU1IgIiIiIlLIKSkQERERESnklBSIiIiIiGSD6Oho0tLS7B3GXVFSICIiIiJyD1JTU3n33XcJCwvjo48+snc4d0VJgYiIiIjIPYiIiGD06NEkJiYyceJEYmJiAIhPzeC95YdJTMu0c4S3p6RAREREROQe1KhRg/79++Pg4ECvXr1wdHTk933naDNlPbPWHWPKynB7h3hbSgpERERERO7QhQsX+PTTT68rnzhxIrt27WL0pCmM+C2Sl7/ZyfmENEKLe9K2qr8dIs0aJ3sHICIiIiKSH3z55ZcMGTKEuLg4KlSoQLt27ax1RYoW4+dDCUz94U9SMsw4O5p46b4KvHxfedycHe0Y9Z1RUiAiIiIicgecnZ2Ji4sDYNy4cdakYM+pWEYt3sfBc/EANAwtyqTHalChpJfdYs0qk2EYhr2DsLf4+Hh8fX2Ji4vDx8fH3uGIiIiISB5ksVho3rw5VatWZeLEiXj6FWPKyiN8tSUKwwBfd2dGP1iFbvVK4+Bgsne4WXrGteuYgj///JOHH36YoKAgTCYTP//8s029YRiMHTuWwMBA3N3dadOmDRERETbbXL58mV69euHj44Ofnx/PPvssiYmJufguRERERKQguXTpEq+88gpvv/22TbmDgwPr1q3j888/Z/dFaDv1T+ZtvpoQPFanFKuHtqJ7g+A8kRBklV2TgqSkJGrVqsUnn3xyw/r333+fGTNmMHv2bLZt24anpyft27cnNTXVuk2vXr04cOAAq1at4rfffuPPP//k+eefz623ICIiIiIFSFJSEtWqVePjjz9m8uTJnDhxwqb+YrKZ5/77Ny9+vYPo+FRCinnw9bONmNajNsW9XO0U9b3LM92HTCYTP/30E507dwauthIEBQUxdOhQhg0bBkBcXBz+/v7MmzePnj17cujQIapWrcr27dupX78+AMuXL+fBBx/k9OnTBAUF3dG51X1IRERERK4ZMmQI06ZNw8PDg2+++YbOnTtjthjM2xzFlJXhJKebcXIw8WKr8gy8v0KeHUiclWfcPDvQODIykujoaNq0aWMt8/X1pVGjRmzZsoWePXuyZcsW/Pz8rAkBQJs2bXBwcGDbtm089thjNzx2WlqazRLU8fHxOfdGRERERCTPioqKIiQkBJPpf11+xo4dS2pqKqNHj6ZUqVLsOx3HGz/tY9+Zq4OM64cUYVKXGlT097ZX2Nkuz65TEB0dDYC/v+28rv7+/ta66OhoSpYsaVPv5ORE0aJFrdvcyOTJk/H19bX+BAcHZ3P0IiIiIpKXxcbGMnjwYMLCwliyZIlNnZ+fH59++il+xf15+9eDPPrJRvadicPHzYnJXWrw/QtNClRCAHk4KchJo0aNIi4uzvpz6tQpe4ckIiIiIrlo3bp1TJ8+nczMTIYNG2bTiwTgj4MxtJ26ni83RWIx4JFaQaweeh9PNCyTLwcS306e7T4UEBAAQExMDIGBgdbymJgYateubd3m/PnzNvtlZmZy+fJl6/434urqiqtr/h0IIiIiIiL35tFHH6V169Zs3bqVp556imvDbBNSMxj/y0EW7TwNQHBRdyZ2rkGriiXsGW6Oy7NJQWhoKAEBAaxevdqaBMTHx7Nt2zZeeuklAJo0aUJsbCw7duygXr16AKxZswaLxUKjRo3sFbqIiIiI5CHHjh1j8+bNPP3009Yyk8nEf/7zH1xdXa1dyf+Ouszg73dz6nIKDiZ4rmU5Bj1QEXeXvDmQODvZNSlITEzk6NGj1teRkZHs3r2bokWLUqZMGQYNGsTEiRMJCwsjNDSUMWPGEBQUZJ2hqEqVKnTo0IHnnnuO2bNnk5GRwcCBA+nZs+cdzzwkIiIiIgXX+PHjmTx5MoZh0LhxY8LCwqx1FSpUACDDbGHm6gg+XnsUiwGli7gzrUdtGpQtaq+wc51dk4K///6b1q1bW18PGTIEgD59+jBv3jxGjBhBUlISzz//PLGxsTRv3pzly5fj5uZm3eebb75h4MCBPPDAAzg4ONC1a1dmzJiR6+9FRERERPIei8VCeno6AO+88w7z5s2zqT9xKYnXFu5m96lYALrULcX4R6rh4+acy5HaV55Zp8CetE6BiIiISMGUlJREzZo16dGjB6NGjcLb++qsQYZhsGjnGcYt2U9SuhlvNyfeeawGj9QqOL1NCsQ6BSIiIiIidyoqKorhw4fTuXNnevXqZS339PTk0KFDuLi4WMvikjN44+d9LN17DoCGoUWZ1qM2pfzccz3uvEJJgYiIiIjka8ePH6dq1aqkpaWxZcsWOnfujKenp7X+nwnB1uOXGPLdbs7GpeLkYGJw24q82Ko8jgVwmtGsKJTrFIiIiIhIwVGuXDnatm0LQHp6OocOHbpum7jkDN5ZepAnPtvK2bhUyhbz4MeXmjKgdYVCnxCAWgpEREREJJ+JioqibNmyNmVTpkyhSpUqjB49Gl9fX2t5aoaZeZujmLXuGHEpGQB0r1+acQ9Xw9NVj8LXaKAxGmgsIiIikh+cOnWK119/ne+++46dO3dSs2bNW26/6mAMY37eT3R8KgAV/b14vWNl7q/snxvh2p0GGouIiIhIgbNgwQIWLFgAwODBg/njjz8wma7v+pOYlsmEXw/y3d+nACjl587gthV5rE4pdRW6CSUFIiIiIpIvvPbaa8yZM4f4+Hi6deuGYRjXJQU7Tlxm8Hd7OHk5GZMJnm9RjsFtK+LmXPBXJb4XSgpEREREJM/Zvn070dHRPPzww9YyNzc3Fi1aRNmyZSlSpIjN9umZFj5afYRZ645hMa62DkzpXovG5Yrlduj5kpICEREREckzMjMz6d+/P1999RUlSpQgIiLCZuBwnTp1rtvn6PkEBn23m/1n4gHoWrc04x6pWuhWJb4XmpJURERERPIMJycnUlJSALhw4QKffPLJTbc1DIP5W6LoNGMj+8/E4+fhzKxedZnSvZYSgixSS4GIiIiI5Cnvv/8+GzZsYOTIkbz88ss33CY2OZ0RP+5l5cEYAFpVLMEH3WpS0sctN0MtMJQUiIiIiIhd7N69m8GDB/Puu+/SqFEja3lISAhRUVE2KxH/07bjlxj03W7OxaXi4ujA6x0r80yzsjeciUjujJICEREREcl1a9asoU2bNhiGwWuvvcbmzZtxcPhfz/YbJQRRF5P4YGU4S/eeAyC0uCczn6hD9VK+120rWaOkQERERERyXYsWLahcuTKHDh3i0qVLnD17ltKlS99w2ytJ6Uz/4wjfbDtJpsXAZIKeDYJ5s1NVrUqcTXQVRURERCRHGYZBVFQUoaGh1jJnZ2dmzpzJ7t27eeWVV27YMmAYBkv3nWPckgNcSkoH4L5KJRjZoTJVAm+9Qq9kjckwDMPeQdhbVpaAFhEREZE7t2/fPgYPHszff/9NREQEJUqUuKP9zsen8ubP+60DiSv5ezPu4ao0rVA8J8MtULLyjKuWAhERERHJMdOnT2f16tUAjB07llmzZt1ye7PFYMG2E3ywIpz41EycHEwMaF2BAa0r4OKk2fRzipICEREREckx77zzDt9//z3Fixenbdu2t9x2z6lY3vx5P/vOxAFQo5Qv73erqa5CuUBJgYiIiIhki99//50iRYrQpEkTa1lAQAArV66kTp06uLndeA2BtEwz7y8P58tNkRgGeLs5Mbx9JXo1CsHRQdOM5gYlBSIiIiJyT65cuUKvXr1YtmwZtWrVYseOHTg6Olrr/5kk/FvUxSQGfruT/WfiAXisTilGPViZkt5ahCw3qWOWiIiIiNwTX19fYmKuDgjes2cPP//88x3tt2T3GTrN2MD+M/H4eTjzee/6TOtRWwmBHSgpEBEREZF74uDgwEcffUSZMmVYuHAhXbp0ueX2p68k0/+rv3lt4W6S0s00LFuUZa+1oE1V/1yKWP5N3YdERERE5I6tWrWKMWPGsGjRIkqVKmUtb968OUePHsXZ2fmm+2aYLczdFMm0VRGkZJitMwu9cn8FnBz1XbU9KSkQERERkTvyn//8hxdeeAGAUaNG8d///tem/lYJwdHziQz+brd1ZqEGZYvwzmM1qOjvnXMByx1TSiYiIiIid6Rbt24UKVIEgCNHjpCamnrbfQzDYP6WKB6auYF9Z+LwdXfmva41+O75JkoI8hC1FIiIiIjIdcxmM6dPnyYkJMRaVrRoUaZPn47JZKJXr144ONz6++XzCamM+HEv68IvANAirDgfdKtFgK8GEuc1SgpERERExMa6desYNGgQKSkp7Nu3DxcXF2td79697+gYKw5EM2rxPi4npePi5MDrHSrTt2lZHLTuQJ6kpEBERERErAzDYMyYMezZsweATz75hMGDB9/x/klpmUz47SALt58CoEqgD9N71KZSgLoK5WVKCkRERETEymQyMX36dBo0aECdOnVo2LDhHe+78+QVBn+3mxOXkjGZ4PkW5RjSriKuTo6331nsSkmBiIiISCFlsVj473//S8uWLSlXrpy1vF69eqxfv55mzZrddtwAXJ1q9OM1R/l47VHMFoMgXzemdK9Nk/LFcjJ8yUZKCkREREQKoaNHj9KzZ0927NhBly5dWLRokU19ixYt7ug4kReTGPTdbvacigXg0dpBvP1odXzdbz49qeQ9SgpERERECiF/f39Onz4NwOLFi9m7dy81a9a84/0Nw2Dh9lO8/etBUjLMeLs5MbFzdR6tXer2O0ueo3UKRERERAohb29vJk2aRM2aNVm9enWWEoKLiWk8998djFq8j5QMM43LFWX5oJZKCPIxk2EYhr2DsLf4+Hh8fX2Ji4vDx8fH3uGIiIiIZBvDMFiwYAGzZs1i1apVuLu7W+ssFgsWiwUnpzvvPLLmcAwjftzLxcR0nB1NDG9fif7Ny2mq0TwoK8+4aikQERERKcCGDRvGU089xaZNm5gyZYpNnYODwx0nBCnpZt78eR/95v3NxcR0Kvp7sWRAc55vWV4JQQGgpEBERESkAHv22WdxdLw6Jej+/fu5m04if0ddptPMDXy99SQA/ZqF8svA5lQNUg+LgkIDjUVEREQKiJSUFGJjYwkMDLSWVa1alXfffZeaNWvSrl27LB3vQkIa7y47zKKdVwck+/u4MuXx2jQPK56tcYv9KSkQERERyecMw+CHH35gxIgRVK5cmWXLlmEy/a9Lz7Bhw7J0vEyzhW+2neTDleEkpGYC0LNBMCM7VKaIp0u2xi55g5ICERERkXwuLS2N4cOHc/LkSU6cOMHvv/9Op06d7upYO05cYczP+zl4Lh6A6qV8ePvR6tQtUyQ7Q5Y8RkmBiIiISD7n5ubG+++/T8+ePWnXrp3N6sR36lJiGu8tP8z3f1/tKuTj5sTwDpV5smEZHDWQuMBTUiAiIiKSj6SmpjJr1iz69++Pt7e3tbx79+4EBATQsmVLm65Dt2O2GCz46yQfLD9M/P93FepevzQjO1SmmJdrtscveZOSAhEREZF8YsuWLfTq1YvIyEjOnz/P5MmTrXUmk4lWrVpl6Xi7T8Xy5s/72H/malehqoE+TOhcjXohRbM1bsn78vSUpGazmTFjxhAaGoq7uzvly5dnwoQJNlNpGYbB2LFjCQwMxN3dnTZt2hAREWHHqEVERERyhr+/P2fOnAHgo48+4vLly3d1HIvF4OM1EXT5dBP7z8Tj7ebEW49U45eBzZQQFFJ5Oil47733mDVrFh9//DGHDh3ivffe4/3332fmzJnWbd5//31mzJjB7Nmz2bZtG56enrRv357U1FQ7Ri4iIiKS/cqVK8fgwYO5//772bp1K0WLZv0B/kpSOv2+2s6HK49gMeCRWkGsGXoffZqWxckxTz8aSg4yGXezgkUueeihh/D39+eLL76wlnXt2hV3d3e+/vprDMMgKCiIoUOHWqfaiouLw9/fn3nz5tGzZ887Ok9WloAWERERyWnp6el8/PHHrFu3jiVLltiMEcjIyMDJySlL4wau+SvyMoMW7uJsXCquTg5MeLQ63RsEZ2fokodk5Rk3T6eDTZs2ZfXq1Rw5cgSAPXv2sHHjRjp27AhAZGQk0dHRtGnTxrqPr68vjRo1YsuWLTc9blpaGvHx8TY/IiIiInlF165dGTp0KL/++is//PCDTZ2zs3OWE4K45AxGLd5H9zlbOBuXSmhxT356uZkSArHK00nB66+/Ts+ePalcuTLOzs7UqVOHQYMG0atXLwCio6OBq/3r/snf399adyOTJ0/G19fX+hMcrP8QIiIikne88MILwNXBw/v27bvr4xiGwa97zvLA1PV8+9dJAHrUD+aXgc2oGqTeEfI/eXr2oe+//55vvvmGBQsWUK1aNXbv3s2gQYMICgqiT58+d33cUaNGMWTIEOvr+Ph4JQYiIiJiF5cuXcLR0RE/Pz9rWadOnRg5ciTdu3enbt26d3XcU5eTGbtkP2vDLwBQroQnkx+rQaNyxbIjbClg8nRSMHz4cGtrAUCNGjU4ceIEkydPpk+fPgQEBAAQExNDYGCgdb+YmBhq16590+O6urri6qp5d0VERMR+MjIymDVrFuPHj+epp55ixowZ1jqTycS77757V8fNNFuYuymKqauOkJJhxsXRgZdbl+el+8rj6uSYXeFLAZOnuw8lJyfj4GAboqOjIxaLBYDQ0FACAgJYvXq1tT4+Pp5t27bRpEmTXI1VREREJCvOnz/PqFGjuHLlCp9++ikHDx6852OevpLM43O28M7vh0jJMNMwtCi/v9aCQW0qKiGQW8rTLQUPP/ww77zzDmXKlKFatWrs2rWLqVOn0q9fP+BqFj1o0CAmTpxIWFgYoaGhjBkzhqCgIDp37mzf4EVERERuoVSpUrz++uuMHTuWJ598kiJFitzT8VYeiGb4j3uJS8nA282JNztV4fF6wTg4ZH2WIil88vSUpAkJCYwZM4affvqJ8+fPExQUxBNPPMHYsWNxcXEBrg6gGTduHP/5z3+IjY2lefPmfPrpp1SsWPGOz6MpSUVERCQnxcbG8vnnnzNkyBCbXhApKSns27ePhg0b3vWxU9LNfLAinC83RQJQK9iPj5+oQ3BRj3uOW/K3rDzj5umkILcoKRAREZGcsmjRIl588UUuXrzIl19+yTPPPJMtxzUMg1/3nuPd3w9xNu7qoq3PNg9lZIfKuDjl6R7ikkuy8oybp7sPiYiIiOR3RYoU4eLFiwBMmDCB3r174+h4b/3795+JY/wvB/j7xBUASvm589Yj1WhT1f82e4rcmJICERERkWxkGIbN4mL3338/Xbp0wdXVlXffffeeEoLUDDPT/jjC5xsiMVsM3J0deem+8jzfshxuzhpILHdPSYGIiIhINoiPj+edd94hISGBTz/91KZu4cKFODs739Pxtx6/xKjF+4i8mATAQzUDebNTVQJ83e7puCKgpEBERETknpnNZho2bEh4eDgmk4n+/fvbLDp2LwlBQmoG7y47zDfbrq5I7O/jysTONWirrkKSjTQKRUREROQeOTo68vzzzwPg4uLC7t27s+W4aw7H0G7an9aE4ImGZVg1pJUSAsl2aikQERERyaKTJ08SFBSEk9P/HqUGDhxIVFQUgwcPJjQ09J6OH5uczlu/HuSnXWcACCnmweQuNWhavvg9HVfkZtRSICIiInKHEhMTGTNmDJUqVWL27Nk2dS4uLsyYMeOeE4K1h8/Tbtqf/LTrDA4meK5FKMtfa6mEQHKU1ilA6xSIiIjIndm2bRuNGzcGoGjRokRERFC0aNFsOXZ8agYTfzvI93+fBqBcCU8+fLwWdcvc20rHUnhl5RlXLQUiIiIid6hRo0Y89dRTODs7069fP5vuQ/diY8RFOkz7k+//Po3JdHURst9fbaGEQHKNWgpQS4GIiIhc7/Tp0yxZsoQBAwbYlJ87d47ExETCwsLu+RxJaZlMXnaIr7deHUhcpqgHHz5ei4ah2dP6IIWbVjQWERERuQcfffQRo0aNIiUlhVq1atG8eXNrXWBg4D0fP8NsYdGO08xYHcHZuFQAnm4cwusdK+PpqsczyX2660RERET+xc3NjZSUFADefvttVq5cmS3HzTRb+GnXGWasieDU5avHL+Xnzntda9I8TAOJxX7UfQh1HxIRESnsDMPAZDJZX5vNZho1akSzZs0YN25ctgwm3nHiMmN+PsDBc/EAFPdy4aX7KtCrURncnB3v+fgi/6buQyIiIiJ34Ny5c4waNYpq1aoxfPhwa7mjoyNbtmy5p5WIr7mUmMa7yw7zw46rswr5ujszoHV5nmocgoeLHsUkb9CdKCIiIoXSlStXqFKlCnFxcXh5efH0008TEBBgrb/XhMAwDH7Zc5ZxvxwgNjkDgB71gxnRoRLFvFzv6dgi2U1TkoqIiEihVKRIEXr27AmAk5MT+/bty7ZjX0hI44X5O3ht4W5ikzOoEujDopea8l63mkoIJE9SS4GIiIgUCseOHaN8+fI2ZRMmTMDd3Z3Ro0dTvHj2DPRdtu8cb/y0jyvJGTg7mnj1/jBevK88zo76LlbyLt2dIiIiUqCdP3+e559/nrCwMFatWmVTV6JECaZNm5YtCUFqhpk3ftrHS9/s5EpyBlUDffhlYHNeeSBMCYHkeWopEBERkQJt1apVfPbZZwAMHjyY3bt3Z9tKxNcciUnglQW7CI9JwGSCF1uVZ0jbikoGJN9QUiAiIiIF2hNPPMHMmTM5ePAgffr0ITtnY09Ky2TWumP8Z8Nx0jMtFPdyZVqPWrQIK5Ft5xDJDUoKREREpMDYt28fe/bs4amnnrKWOTg48NVXX+Hn54e/v3+2nMdiMVi86wzvLz/M+YQ0AFpVLMGHj9eihLcGEkv+o6RARERE8j3DMBg8eDAzZ87ExcWFFi1aEBISYq2vVKlStp3r1OVkhn6/h7+iLgNQpqgHbzxYhfbV/G0WQBPJT9TRTURERPI9k8mEo6MjFouF1NRUPvzww2w/h2EYfLf9JB2m/8lfUZfxcHFkZIfKrBrSkg7VA5QQSL5mMrKzY10+lZUloEVERCRvMAzD5kE8NjaWunXr8txzzzF48GDc3Nyy7VwXEtIYtXgvfxw6D0CDskWY8nhtyhTzyLZziGS3rDzjqvuQiIiI5CuHDx9myJAhPPfcczz22GPWcj8/P8LDw+95JeJ/W74/mjd+2sflpHRcHB0Y2q4i/VuUw9FBLQNScCgpEBERkXxj37591K1bl8zMTMLDw3nwwQdxdf3fwN7sTAgSUjN469eD/LjjNACVA7yZ1qM2VQLVq0AKHo0pEBERkXyjevXqNG/eHICMjAyOHTuWI+dZcziGdtP+5Mcdp3EwwUv3lWfJwGZKCKTAUkuBiIiI5FlHjx6lQoUK1tcmk4np06ezZMkShg0bhodH9vbpv5SYxlu/HuSXPWcBCCnmwZTHa1G/bNFsPY9IXqOkQERERPKciIgIhg4dyvLly9m/fz8VK1a01tWqVYtatWpl6/kMw2DJ7rO89esBriRn4GCC/i3KMbhNRdxdHLP1XCJ5kZICERERyXO+/vprfv31VwCGDh1q/T0nnIlNYfRP+1gXfgG4Onbg/W41qVnaL8fOKZLXKCkQERGRPGfEiBF88cUXWCwWHn/88eumH80OFovB/K0neH/5YZLSzbg4OvBamzCeb1kOZ0cNu5TCRUmBiIiI2NX69etJSkriwQcftJZ5enry66+/EhYWhpeXV7af8+j5BEYu2seOE1cAqB9ShHe71qRCyew/l0h+oKRARERE7CItLY1evXqxaNEiSpUqRXh4OJ6entb6OnXqZPs50zMtzFl/jJlrjpJutuDp4sjrHSvTq1EIDlp3QAoxtY2JiIiIXbi6upKWlgbAmTNn+PLLL3P0fHtOxfLIxxuZsuoI6WYLrSuVYOWQVjzdpKwSAin01FIgIiIiueJG4wKmTJnCnj17GD9+PH369MmR86akm5m6KpwvNkZiMaCopwvjHq7KI7WCsn2cgkh+paRAREREctymTZsYMmQIn332GTVr1rSWV6xYkePHj+PklDOPJLtOXmHwd7uJupQMwKO1gxj7UFWKebneZk+RwkVJgYiIiOSoJUuW0LlzZwAGDRrE6tWrbb6hz4mEINNs4dN1x/hodQRmi0GgrxvvPFad+yv7Z/u5RAoCJQUiIiKSozp06EC5cuU4fvw4Fy9e5NKlSxQvXjzHznfqcjKDvtttnVno4VpBTOxcHV935xw7p0h+p6RAREREso1hGBw/fpzy5ctby1xdXZk5cyYnT56kf//+OdZVyDAMFu88w7hfDpCYlom3qxNvd65G59qlNHZA5DaUFIiIiEi2+Ouvv3jttdc4duwYERER+Pr6Wuv+uQZBTohLzmD0z/v4be854Oq6A9N61Ca4qEeOnlekoNCUpCIiIpItpk2bxtatW7lw4QITJkzItfNuOXaJjh/9yW97z+HoYGJo24osfL6xEgKRLFBLgYiIiGSL9957j59//pnQ0FDatWuX4+dLz7QwddUR5vx5DMOAssU8mN6zDrWD/XL83CIFjZICERERyRLDMPjhhx8oV64c9evXt5aXKVOGdevWUbduXZydc3ZQ75GYBIZ8v5v9Z+IB6NkgmDEPVcXTVY82Incjz3cfOnPmDE899RTFihXD3d2dGjVq8Pfff1vrDcNg7NixBAYG4u7uTps2bYiIiLBjxCIiIgVXdHQ0rVq1okePHrzyyisYhmFT36hRoxxNCFLSzby//DAPfrSB/Wfi8fNwZvZT9Xi3a00lBCL3IE8nBVeuXKFZs2Y4OzuzbNkyDh48yJQpUyhSpIh1m/fff58ZM2Ywe/Zstm3bhqenJ+3btyc1NdWOkYuIiBRMxYsX59KlSwBs3bqVVatW5dq51x+5QLvp6/l03TEyLQZtqvizYlBLOlQPyLUYRAoqk/HvFD8Pef3119m0aRMbNmy4Yb1hGAQFBTF06FCGDRsGQFxcHP7+/sybN4+ePXvecL+0tDTS0tKsr+Pj4wkODiYuLg4fH5/sfyMiIiL5lGEY103nuXLlSgYOHMjUqVPp1KlTjk/3mWG28N6yw3y+MRKAQF83xj9SjfbVlAyI3Ep8fDy+vr539Iybp1sKfvnlF+rXr8/jjz9OyZIlqVOnDp999pm1PjIykujoaNq0aWMt8/X1pVGjRmzZsuWmx508eTK+vr7Wn+Dg4Bx9HyIiIvmNYRj89NNP1K9fnwsXLtjUtWvXjoMHD/LQQw/leEJwJjaF7nO2WBOCvk3LsmpIKyUEItksTycFx48fZ9asWYSFhbFixQpeeuklXn31Vb766ivgar9GAH9/2yXL/f39rXU3MmrUKOLi4qw/p06dyrk3ISIikg99+OGHdOnShZ07dzJmzJjr6nNqAbJ/WnM4hk4zNrDrZCzebk7Meboe4x+phpfGDohkuzz9v8pisVC/fn0mTZoEQJ06ddi/fz+zZ8+mT58+d31cV1dXXF1dsytMERGRAufpp5/m7bffJjExkWPHjpGZmZkriQBAptnClFVHmLXuGAA1S/vyyZN1te6ASA7K0y0FgYGBVK1a1aasSpUqnDx5EoCAgKtNhzExMTbbxMTEWOtERETk1tLT0zlx4oRNWUBAAB999BGLFy9m5cqVuZYQRMel8uRn26wJQZ8mIfzwYhMlBCI5LE+3FDRr1ozw8HCbsiNHjhASEgJAaGgoAQEBrF69mtq1awNXB1Rs27aNl156KbfDFRERyVcMw2Dp0qUMHToUNzc3du7ciaOjo7W+X79+uRaLxWLw487TvLvsMJeT0vFydeK9rjXpVDMw12IQKczydFIwePBgmjZtyqRJk+jevTt//fUX//nPf/jPf/4DgMlkYtCgQUycOJGwsDBCQ0MZM2YMQUFBdO7c2b7Bi4iI5HGGYTBu3DiOHDkCwBdffMHzzz+f63HsPR3L2CUH2H0qFoAqgT582qsuocU9cz0WkcIqTycFDRo04KeffmLUqFG8/fbbhIaGMn36dHr16mXdZsSIESQlJfH8888TGxtL8+bNWb58OW5ubnaMXEREJO9zcHBg+vTptGzZkubNm9usTpwbUtLNvLvsEP/degLDAE8XR15rE0bfpqG4OOXpHs4iBU6eXqcgt2RlDlcREZH8KCMjgzlz5tC5c2dKly5tU7dp0yaaNm2a49OL/tP+M3G8tnAXxy4kAfBYnVK83rEy/j76Uk8ku2TlGTdPtxSIiIjIvdu/fz89evTg4MGDbNu2jfnz59vUN2vWLNdiyTRb+HxjJFNWhpNhNijp7cqHj9eiZcUSuRaDiFxPbXMiIiIFXGBgIOfOnQPgm2++4dixY3aJY9PRi3SasZF3lx0mw2zQvpo/ywe1VEIgkgeopUBERKSAMQzDpitQsWLFeOutt1iwYAHTp0+nfPnyuRrPiUtJTFx6iFUHr04h7uvuzBsPVqZ7/eBc7bIkIjenMQVoTIGIiBQMZrOZzz//nPnz57NmzRpcXFxs6hwcHHL1IdwwDBZuP8Xbvx4kJcOMo4OJpxuHMKhNGH4eLrc/gIjcE40pEBERKYRefPFFPv/8cwA+/vhjhgwZYq375/oDueFyUjojF+21tg40LleUCY9WJ8zfO1fjEJE7ozEFIiIiBcSLL75obQm4tvaAPaw/coH20/9k1cEYnB1NjOpYmQX9GyshEMnD1FIgIiKSD8XHx5OcnExAQIC1rF69ekyaNInmzZvTvHnzXI8pNcPMe8sPM3dTFAAVSnoxvUdtqpfyzfVYRCRrNKYAjSkQEZH8w2w2M2/ePEaPHk2zZs1YtGiRvUMC4NC5eAYt3E14TAIAvZuEMKpjFdxdcrfbkoj8T1aecZUUoKRARETyj4SEBCpWrEh0dDQAa9asoXXr1naLJy3TzCdrjzFr3VEyzAbFvVx4v1tN7q/sb7eYROSqrDzjakyBiIhIPuLt7c2kSZMA6Nq1K2XLlrVbLDtOXKbTjI3MWB1BhtmgTZWr6w4oIRDJfzSmQEREJI9KTEzk448/5rXXXsPd3d1a3qdPH6pUqULjxo3tEldappkPV4Tz+cZIDAOKe7nw1iPVebBGgNYdEMmn7rilYMyYMWRmZt60/uTJk7Rt2zZbghIRESnsVq9eTaVKlRg1ahRTpkyxqXNwcLBbQnA4Op5HP97EZxuuJgSP1yvNH0Na0almoBICkXzsjpOCr776igYNGrB///7r6ubMmUP16tVxclLDg4iISHYIDAwkJubqHP9Tp04lKSnJrvFkmi189udxHvl4E4ejEyjm6cLnvevzweO1tBCZSAFwx0nB/v37qVGjBvXr12fy5MlYLBZOnjxJmzZtGDFiBB9++CHLli3LyVhFREQKrH/P+1G1alVefvllHnnkEbZt24anp6edIoPtUZd5aOZG3vn9EOmZFu6vXJLlg1rSpqrGDogUFFmefWjJkiW88MILBAQEEBkZScOGDfn8888JCQnJqRhznGYfEhERe0lOTuaDDz5g7969/PjjjzZdcDIzM+3aCn8hIY13lx1m0c7TAPi6O/N6x8r0bBCsrkIi+UBWnnGz/EnTuHFjatSowerVq/H09OTNN9/M1wmBiIiIPXXo0IENGzYA8Pvvv9OpUydrnb0SgkyzhW+2neTDleEkpF4dT9izQTAjOlSmqKe6CokURFmakvTbb7+latWqWCwWDh06xEsvvUS7du0YPHgwqampORWjiIhIgTVw4EAAHB0dOXjwoJ2juTrN6CMfb2LcLwdISM2keikfFr/clHe71lRCIFKA3XH3oa5du7JixQomT57MK6+8Yi3fvHkzzzzzDADz5s2jSZMmORNpDlL3IRERyQ3nzp3Dy8sLb29va5lhGIwaNco6zai9XExM471lh/lhx9WuQj5uTgzvUJknG5bB0UFdhUTyoxxZvCw6Oppdu3bZJAQATZs2Zffu3XTo0IFWrVrdXcQiIiIFWGpqKpMnT6ZixYrWhceuMZlMvPvuu3ZLCMwWg/lbT3D/h+usCUH3+qVZO+w+nm4cooRApJC445YCi8WCg8Otc4g///yTli1bZktguUktBSIikpOOHz9OlSpVSE9Px8XFhUOHDlGuXDl7h8Wuk1cYs2Q/+8/EA1A10IcJnatTL6SInSMTkeyQIwONb5cQAPkyIRAREclp5cqVY/DgwXzwwQf0798fX19fu8ZzOSmd95cfZuH2UwB4uzkxvH0lejVSy4BIYZXlKUkLIrUUiIhIdjl//jxz585lxIgRNtN2JiQkcOLECapXr2632MwWg4XbT/LBinBikzMA6FavNCM7VKaEt6vd4hKRnJGjU5KKiIjIjf33v//llVdeIT4+ntDQULp3726t8/b2tmtCsOdULGOW7Gfv6TgAKgd4M7FzdeqXLWq3mEQk71BSICIikk2KFi1KfPzV/vkTJ07k8ccft/siX1eS0vlgZTjf/nUSwwBvVyeGtKvI041DcHLM0szkIlKAKSkQERG5S4Zh2Dz0d+rUiY4dO1KqVCkmTpxo14TAYjH4/u9TvLf8MFf+v6tQlzqleP3BypT0drNbXCKSNykpEBERyaJLly4xbtw4XFxcmDp1qrXcZDLxyy+/2G0l4mu2Hr/E5GWH2XMqFrjaVeitR6rRqFwxu8YlInmXkgIREZEsSE9Pp3bt2pw+fRpHR0f69+9P1apVrfX2TAh2nbzClJVH2Hj0IgBerk4MbluRPk3UVUhEbk2fECIiIlng4uLC888/D4Cbmxv79++3c0RwLi6Fl7/ZwWOfbmbj0Ys4O5p4unEIa4a24tnmoUoIROS21FIgIiJyC0ePHqVcuXI26/UMGzaMK1euMGzYMIKCguwWW6bZwrzNUUxbdYSkdDMOJuhStzSvPRBGcFEPu8UlIvmPvjoQERG5gStXrjBo0CCqVKnCvHnzbOrc3d2ZOnWqXROCfafjePjjTUxceoikdDN1y/ix9NUWfPh4LSUEIpJlWrwMLV4mIiLXW7duHa1btwbA39+fiIgIvL297RwVpGaYmbE6gjl/HsdsMfB1d2ZUx8p0rx+Mg1YjFpF/0OJlIiIi9+i+++7jscceY/ny5bz00ks4OjraOyR2nbzC8B/3cvR8IgAP1Qxk/CPVKO6l1YhF5N4oKRARkUIvIiKCVatW8fLLL9uUf/TRRwAEBwfbIyyr+NQMPlwRzvytJzAMKO7lysTO1elQPcCucYlIwaGkQERECrUJEyYwYcIEMjMzadSoEfXq1bPW2TsZMAyD5fujGf/rAWLi0wDoUrcUYzpVpYini11jE5GCRUmBiIgUap6enmRkXF3xd9KkSSxatMjOEV11+koy45YcYPXh8wCEFvfknc7VaVqhuJ0jE5GCSAON0UBjEZHCxDAMTKb/DchNT0+nYcOGPPTQQ7z++ut4eXnZMbqr04zO3RTF1FVHSMkw4+xo4qX7KvDyfeVxc7b/uAYRyT800FhERORfIiMjGT58OPfddx8DBw60lru4uPD333/bdSXia/acimXU4n0cPBcPQMPQokx6rDoVStp/1iMRKdjs/wkoIiKSw86dO0e1atVISUlh7dq1PPnkkxQtWtRab++EICE1gykrj/DVligMA3zdnRn9YBW61SutaUZFJFdo8TIRESnwAgMD6datG3A1ATh8+LCdI7rq6kDic7SZup55m68mBF3qlGL10FZ0b6B1B0Qk96ilQERECpzw8HAqVapkUzZ58mRKlSrFqFGj8sT4sTOxKYxbsp8/Dl0dSFy2mAcTO9egeZgGEotI7tNAYzTQWESkoDh58iQjR45k4cKFbNiwgebNm9s7pOtYLAbzNkfx4cpwktOvDiR+sVV5BrSuoIHEIpKtNNBYREQKpWXLlrFw4UIABg0axF9//YWDQ97pKXs+PpWhP+xhQ8RFABqULcKkx2oQ5q+BxCJiX3nnk/IOvPvuu5hMJgYNGmQtS01NZcCAARQrVgwvLy+6du1KTEyM/YIUERG76d+/PzVr1qRYsWL079+fvNQYvvbweTp+tIENERdxc3ZgYufqfPd8EyUEIpIn5JuWgu3btzNnzhxq1qxpUz548GCWLl3KDz/8gK+vLwMHDqRLly5s2rTJTpGKiEhu+Ouvvzh27BhPPPGEtczR0ZHvvvsOf39/ihQpYsfo/udMbApTVx5h0c7TAFQJ9GHmE7U1zaiI5Cn5IilITEykV69efPbZZ0ycONFaHhcXxxdffMGCBQu4//77AZg7dy5VqlRh69atNG7c2F4hi4hIDjEMg379+jFv3jy8vLxo3bo1AQEB1vrKlSvbMbr/iU1OZ9a6Y8zdHEV6pgWAvk3L8nrHyho7ICJ5Tr7oPjRgwAA6depEmzZtbMp37NhBRkaGTXnlypUpU6YMW7Zsuenx0tLSiI+Pt/kREZH8wWQy4erqClz90mjGjBl2jshWaoaZWeuO0fL9tcz58zjpmRYahRblp5ebMv6RakoIRCRPyvMtBQsXLmTnzp1s3779urro6GhcXFzw8/OzKff39yc6Ovqmx5w8eTJvvfVWdocqIiI5wDAMTCbb+fonTJjAypUrGTx4MC+++KKdIrNlthgs2nGaqauOEB2fCkDlAG9GdqzMfRVLXPceRETykjydFJw6dYrXXnuNVatW4ebmlm3HHTVqFEOGDLG+jo+PJzg4ONuOLyIi2WPnzp0MGjSI0aNH0759e2t5iRIlOHLkiN1XIr4mJj6Vl7/ZyY4TVwAo5efO0HYVebR2KRy1AJmI5AN549P0Jnbs2MH58+epW7eutcxsNvPnn3/y8ccfs2LFCtLT04mNjbVpLYiJibHpX/pvrq6u1qZnERHJm7Zs2UKzZs0wDIMhQ4awZ88emyQgryQE245fYsCCXVxMTMPb1YnX2oTxVOMQdRMSkXwlT48peOCBB9i3bx+7d++2/tSvX59evXpZf3d2dmb16tXWfcLDwzl58iRNmjSxY+QiInKvGjVqRMOGDQHIyMjg5MmTdo7IlsVi8PmG4zz5+TYuJqZROcCbX19pTv8W5ZQQiEi+kze+ZrkJb29vqlevblPm6elJsWLFrOXPPvssQ4YMoWjRovj4+PDKK6/QpEkTzTwkIpKPGIbBkSNHqFSpkrXMwcGBGTNmsHHjRgYOHIiLi4sdI7S18+QV3vrlAHtOxwHwaO0gJnepgYdLnv6zKiJyU/n+02vatGk4ODjQtWtX0tLSaN++PZ9++qm9wxIRkTu0b98+Bg0axObNmzl8+DAhISHWuoYNG1pbC/KC6LhU3lt+mJ92nQHAy9WJkR0q8VTjEA0kFpF8zWTkpeUe7SQ+Ph5fX1/i4uLw8fGxdzgiIoXK0KFDmTp1KgA9evRg4cKFdo7oehcS0pi17hhfbztBeqYFkwker1eaYe0rUdI7+ybCEBHJTll5xs33LQUiIpK/jRkzhv/+97/4+PjQo0cPe4djIy4lg9nrjzFvUxQpGWYAGpYtypsPVaFmaT/7Biciko2UFIiISK4wDIPff/8dZ2dn2rVrZy338/Nj1apVVKlSJc/MDJdptrDgr5NMW3WEK8kZANQK9mNo24q0CCuurkIiUuAoKRARkRyXkJDA448/zooVKwgNDeXgwYM268/Url3bfsH9y/ojF5jw20GOnk8EoEJJL0Z2qEybKiWVDIhIgaWkQEREcpyXlxfp6ekAREZGsnDhQvr27WvfoP7lfHwqb/92kN/2ngOgqKcLg9uE8UTDMjg55ukZvEVE7pmSAhERyXaGYdh8q24ymZg+fTqdO3dm8uTJdO/e3Y7R2bJYDBb8dZL3lh8mITUTBxP0bRrKa23C8HV3tnd4IiK5QkmBiIhkq5UrVzJy5Ei+++47KlasaC2vWbMmERERODrmnYW9DkfH88bifew8GQtAzdK+THqsBtVL+do3MBGRXKakQEREss3XX3/N008/DVydavTXX3+1qc8rCUFKupmPVkfw+YbjZFoMPF0cGd6+Ek83KYujg8YNiEjho6RARESyzWOPPUapUqU4c+YMFy9eJCEhAW9vb3uHZWNd+HnGLNnPqcspALSv5s/4R6oR6Otu58hEROxHSYGIiNwVs9nM8ePHCQsLs5Z5enry8ccfk5SUxBNPPIGDQ94ZoHs+IZUJvx3i1z1nAQjydeOtR6vTtqq/nSMTEbE/JQUiIpJla9euZdCgQVy6dInw8HA8PT2tdZ07d7ZfYDdgsRh8u/0k7y7730DiZ5qFMqRtRTxd9WdQRASUFIiIyF2YNm0ae/fuBeC9997j7bfftnNENxYencCoxXutA4lrlPJlchcNJBYR+TclBSIikmVTpkxh+fLl1KxZk/bt29s7nOtkmC1M/+MIc9b/byDxsPaV6K2BxCIiN6SkQEREbspsNvPVV19Rv359atasaS0PCwtj06ZN1KtXL0+NGwA4dTmZV77dxe5TsYAGEouI3AklBSIickMnTpygS5cu7Ny5k9atW7N69WqbBckaNGhgx+hubPn+c4z4cS/xqZn4uDnxbteaPFgj0N5hiYjkeUoKRETkhgICAoiNjQWuDizeunUrTZo0sW9QN5GaYWby74f4assJAGoH+zHziToEF/Wwc2QiIvlD3mrzFRERuzEMw+a1q6srU6ZMoVatWqxduzbPJgSRF5PoOmuzNSF4oWU5fnixiRICEZEsMBn//itQCMXHx+Pr60tcXBw+Pj72DkdEJFdZLBa++eYbpk6dytq1a/Hz87PWGYaBxWLJMysR/9uS3Wd4Y/E+ktLNFPV0YUr3WrSuVNLeYYmI5AlZecZVS4GISCE3btw4evfuze7du5kwYYJNnclkypMJQUq6mZE/7uW1hbtJSjfTMLQov7/aQgmBiMhdUlIgIlLIPffcc7i5uQEQFRV1XTeivOZITAKPfLyR7/4+hckErz4QxoL+jQjwdbN3aCIi+ZYGGouIFCLJyclcuHCBkJAQa1mZMmWYPn065cqVo23btnaM7tYyzRbmbz3Be8sPk5phoYS3Kx/1qE3TCsXtHZqISL6npEBEpBAwDIPvvvuOESNGEBQUxObNm23WF3jhhRfsGN3tbTp6kbd+PcCRmEQAWoQVZ1qP2hT3crVzZCIiBYOSAhGRQsBsNjNhwgROnTrFqVOnWLBgAU899ZS9w7qtU5eTeWfpIZYfiAagiIczQ9tV4smGZXDQysQiItlGSYGISCHg5OTEtGnTaN++PR06dKBevXr2DumWUtLNzFp/jDnrj5GWacHRwcTTjUMY1CYMPw8Xe4cnIlLgKCkQESlgUlNTmTlzJn379qVEiRLW8nbt2rFt2zYaNmxox+huzTAMlu+PZsJvBzkblwpAk3LFGPdIVSoHaMpoEZGcoqRARKQA2b59Oz169CAyMpJjx44xe/Zsm/q8nBCcuJTE2CUHWH/kAgCl/Nx5s1MVOlQPwGRSVyERkZykxcvQ4mUiUnBER0dTsWJFEhIScHZ25sSJEwQGBto7rFtKzTDz2Z/H+XjtUdIyLbg4OvDifeV5qVV53F3y3hoJIiL5RVaecdVSICKSjxmGYfMtekBAAKNHj2bVqlVMmzYtTycEmWYLi3aeZtqqCKLjr3YVal6hOG8/Wo1yJbzsHJ2ISOGilgLUUiAi+U96ejozZszgl19+Ye3atTarDpvNZhwcHPJ0l5s1h2OY9Pthjp6/OsVoKT93RnSoxCO1gvJ03CIi+YlaCkRECrinnnqKH374AYDPP//cZp2BfyYIec3Z2BTe+vUAKw7EAODn4czA1hV4qnEIbs55N24RkYJOSYGISD706quv8sMPP2AymTh+/Li9w7mtTLOFuZuimPbHEZLTzTg5mOjXPJQBrSvg6+5s7/BERAo9JQUiInncpUuXMJvNlCxZ0lrWvHlz3nnnHTp27EidOnXsGN3t7T8Tx8hFezlwNh6ABmWLMLFzDSoFeNs5MhERuUZjCtCYAhHJmzIyMvj0008ZP348Dz30EPPnz7d3SFmSmmFm+h8RfLbhOGaLga+7M6MfrEK3eqW1GrGISC7IyjOukgKUFIhI3nT58mXCwsK4fPkyAFu2bKFx48Z2jurObDl2iVGL9xJ1KRmATjUDGf9wNUp4u9o5MhGRwiMrz7gOuRSTiIhkUdGiRXnrrbcA6NOnDyEhIXaO6PbiUjIYtXgvT3y2lahLyfj7uPJZ7/p88mRdJQQiInmYxhSIiOQBV65c4eOPP2bkyJG4uLhYy1988UWaNm1K3bp17Rjd7RmGwe/7onnr1wOcT0gDoFejMozsWBkfNw0kFhHJ65QUiIjY2S+//EK/fv24dOkSnp6eDBkyxFrn5OSU5xOCYxcSGbfkABuPXgSgXHFPJnepQaNyxewcmYiI3Cl1HxIRsbPSpUtbxw18+OGHpKen2zmiO5Ocnsn7yw/TYfqfbDx6ERcnB157IIzfX2uhhEBEJJ9RS4GISC4zDMNm1d66devSr18/kpOTee+992y6D+VFhmGw4kAME347yJnYFABaVyrB+EeqEVLM087RiYjI3VBSICKSS+Lj45k4cSKnTp3i22+/tambM2dOnl6J+Jqj5xOZ8NtB1h+5AEApP3fGPVyVtlX9bRIdERHJX5QUiIjkAsMwaNmyJXv27AHg+eefp3Xr1tb6vJ4QnIlNYfqqIyzaeRqLAS6ODrzQqhwv31cBd5e8HbuIiNyexhSIiOQCk8nEa6+9BoCrqytHjhyxc0R35lJiGm//epDWH6zjhx1XE4K2Vf1ZPqgFQ9tVUkIgIlJAqKVARCQHREVF4e/vj7u7u7WsT58+HDlyhBdeeIGyZcvaL7g7kJCawecbIvl8w3GS0s0ANC5XlBEdKlO3TBE7RyciItktT7cUTJ48mQYNGuDt7U3JkiXp3Lkz4eHhNtukpqYyYMAAihUrhpeXF127diUmJsZOEYtIYZeQkMAbb7xB5cqV+fDDD23qHBwcmDx5cp5OCDLNFv67JYqW76/lo9URJKWbqV7Kh//2a8i3zzVWQiAiUkCZDMMw7B3EzXTo0IGePXvSoEEDMjMzeeONN9i/fz8HDx7E0/PqDBcvvfQSS5cuZd68efj6+jJw4EAcHBzYtGnTHZ8nK0tAi4jcyqFDh6hRowZmsxkPDw+OHDlCqVKl7B3WHfkr8jJjl+zncHQCcHW9gaHtKtGxegAODhpELCKS32TlGTdPJwX/duHCBUqWLMn69etp2bIlcXFxlChRggULFtCtWzcADh8+TJUqVdiyZQuNGze+o+MqKRCR7PTqq68ye/ZsBg0axJtvvpnnP1dOXEpi6qojLNl9FgBfd2eGtqvIkw3L4OSYpxuURUTkFrLyjJuvxhTExcUBULRoUQB27NhBRkYGbdq0sW5TuXJlypQpc8ukIC0tjbS0NOvr+Pj4HIxaRAqqU6dOsWDBAkaMGGEzHef48eN59dVXqVChgh2ju71Tl5OZuSaCRTvPYLYYmEzQs0EZhrevRFHPvL1WgoiIZK98kxRYLBYGDRpEs2bNqF69OgDR0dG4uLjg5+dns62/vz/R0dE3PdbkyZN56623cjJcESngPvnkE4YPH05KSgrVqlXjoYcestYVLVrU+uVFXhSfmsHUlUf4eusJMi1XG4vvq1SCoW0rUaO0r52jExERe8g3ScGAAQPYv38/GzduvOdjjRo1iiFDhlhfx8fHExwcfM/HFZHCo0SJEqSkXF3Nd/LkyTZJQV5lGAa/7DnLxKWHuJBwtbW0RVhxBrWpSL0QDSAWESnM8kVSMHDgQH777Tf+/PNPSpcubS0PCAggPT2d2NhYm9aCmJgYAgICbno8V1dXXF1dczJkESlgDMOw6SL0+OOPM2fOHGrVqsXYsWPtGNmd2XMqlvdXHGbT0UsAhBb35O1Hq9EirISdIxMRkbwgTycFhmHwyiuv8NNPP7Fu3TpCQ0Nt6uvVq4ezszOrV6+ma9euAISHh3Py5EmaNGlij5BFpIA5e/Yso0aNolSpUkyaNMlabjKZWLlyZZ5fiXjv6Vim/xHBmsPnAXBxcmBg6wq80Kocrk55O3YREck9eTopGDBgAAsWLGDJkiV4e3tbxwn4+vri7u6Or68vzz77LEOGDKFo0aL4+Pjwyiuv0KRJkzueeUhE5GaSkpKoWbMmly5dwsXFhWeffZby5ctb6/NqQmCxGPwZcYEvN0Xx55ELADiYoHOdUgx6oCJlinnYOUIREclr8nRSMGvWLADuu+8+m/K5c+fSt29fAKZNm4aDgwNdu3YlLS2N9u3b8+mnn+ZypCJSEHl6evLcc8/x7rvv4uHhQXh4uE1SkNekZ1r47u9TzN0UyfELScD/koFX7g8jtLinnSMUEZG8Kl+tU5BTtE6BiAAcPHiQKlWq2IwdSEhIYOLEiYwYMYJixYrZMbpb2x51mTcW7yPifCIA3q5OdG8QTJ8mZdUyICJSSBXYxctyipICkcItJiaG0aNH8+WXX/Ltt9/So0cPe4d0x64kpfPussN89/cpAIp5ujDw/go8Xj8YL9c83RgsIiI5TElBFikpECncli5dap1StEyZMhw+fBh3d3c7R3VrJy8l8+WmSL7/+xTJ6WYAnmgYzMgOlfHz0MJjIiJSgFc0FhHJCQ8++CDt27dny5YtvPrqq3l2ADFAREwCU1cdYcWBaP5/3TGqBPrw9qPVaFA27y6YJiIieZuSAhEpVPbt28emTZt48cUXrWUmk4k5c+bg7u5OyZIl7RjdzcUlZzDtjyPM33oC8/9nA60qlqB/i1CaVyhuMw5CREQkq5QUiEihMXz4cKZOnYrJZKJly5ZUrVrVWhcSEmLHyG4uw2xh4fZTTF0ZzpXkDADaVfVnaLtKVArwtnN0IiJSUCgpEJFCw9fXF4vFAsCHH37Il19+aeeIbs5iMfh171mmrjrCiUvJAISV9GLcw9VoHlbcztGJiEhBo4HGaKCxSEF07aPtn91qUlJSaNiwIb169WLQoEG4ubnZK7ybMlsMVhyIZuaaoxw6Fw9AcS8XXrk/jF6NyuDk6GDnCEVEJL/QQGMRKdQOHjzI4MGD6dGjB/369bOWu7u7s3v37jw5kDg1w8wPO07z+Ybj1pYBb1cnXmhVjmeaheKp6UVFRCQH6a+MiBQox44do2bNmpjNZvbs2UO3bt1svh3JawnB5aR05m85wVdboriclA6An4czvRuH8EyzUIp4anpRESlYLBYL6enp9g6jQHB2ds62v2tKCkSkQClfvjyPPvooixcvxtXVlePHj1O7dm17h3Wdk5eS+Xzjcb7/+xSpGVfHOQQXdad/83I8Xr80Hi76eBaRgic9PZ3IyEjr+C65d35+fgQEBNzzLHT6qyMi+drBgwdtZhEC+OCDD6hduzbDhg3Lc4uQ7T0dy5w/j7Ns3znrOgPVS/nwQsvydKweoDEDIlJgGYbBuXPncHR0JDg4GAcHfd7dC8MwSE5O5vz58wAEBgbe0/GUFIhIvnTkyBGGDh3K0qVL2b59O/Xq1bPWlStXjjFjxtgxuusdPBvPpN8PsfHoRWtZy4oleLFlOZqUL6Z1BkSkwMvMzCQ5OZmgoCA8PDzsHU6BcO2Lr/Pnz1OyZMl76kqkpEBE8qXffvuN3377DYDXXnuNDRs25MkH69jkdKasPMI3205gMcDJwcTDtYJ4rkU5qgZptjMRKTzMZjMALi4aK5WdriVYGRkZSgpEpPAZOHAgc+bMISkpyWZ14rzCbDH49q+TfLgynNj/X3SsU81AXu9QmeCi+oZMRAqvvPgFTn6WXddTSYGI5Hlr167lwoULdO/e3Vrm4uLCzz//TJkyZfD09LRjdNfbHnWZcUsOcPD/1xmo5O/NuEeq0rS8Fh0TEZG8SUmBiORZmZmZ9OzZk0WLFlGkSBEeeOABihUrZq2vUqWKHaO73rELicxYHcGS3WcB8HFzYkjbijzVOEQDiEVE5I6sW7eO1q1bc+XKFfz8/HLtvPorJSJ5lpOTk7Wv5JUrV/jss8/sHNGN7T8Tx8vf7KDN1PUs2X0WkwmeaBjM2mH30bdZqBICEZF8ymQy3fJn/Pjx9g4x26ilQETyDMMwrusbOXnyZDZv3szo0aPp06ePnSK7nmEY/BV5mU/WHePPIxes5W2q+PPaA2HUKO1rx+hERCQ7nDt3zvr7d999x9ixYwkPD7eWeXl5WX83DAOz2YyTU/58vNbXVyKSJ2zcuJEGDRqwYcMGm/JSpUoRHh7OM888kyfmtDYMgzWHY+g2ews9/rOVP49cwNHBROfaQawY1JLP+9RXQiAiUkAEBARYf3x9fTGZTNbXhw8fxtvbm2XLllGvXj1cXV3ZuHEjx44d49FHH8Xf3x8vLy8aNGjAH3/8YXPctLQ0Ro4cSXBwMK6urlSoUIEvvvjihjEkJyfTsWNHmjVrRmxsbI69V/v/hRWRQm/VqlW0aNGCHTt2MGjQoOtWusyuJdzvhdli8Nveszw4YyP95v3NjhNXcHFyoFejMqwdeh/Te9ahUoC3vcMUEcl3pk6dSunSpSldujTr1q2zqYuMjLTWvfLKK9ft+8gjj1jr/23evHnWusWLF+dU+Lz++uu8++67HDp0iJo1a5KYmMiDDz7I6tWr2bVrFx06dODhhx/m5MmT1n169+7Nt99+y4wZMzh06BBz5syxaXW4JjY2lrZt22KxWFi1alWOjjHIn+0bIlKg3H///dSqVYs9e/ZgNpuJjo4mKCjI3mEBkGG2sGT3WT5dd5TjF5IA8HRxpFfjEPo3D6Wkj5udIxQRyd/i4+M5c+YMcPUb9H8ym83WuitXrly374ULF6z1/5aUlGStS05Ozs6Qbbz99tu0bdvW+rpo0aLUqlXL+nrChAn89NNP/PLLLwwcOJAjR47w/fffs2rVKtq0aQNcXXTz36Kjo+nRowdhYWEsWLAgx9d3UFIgIrkqMzOTPXv22KxA7OjoyMyZMzl06BDPPvtsnmgZSM0w8+OO08xef4zTV1KAq7MJPdMslGealcXPQ4vviIhkBx8fH0qVKgWAq6urTZ2jo6O1rkiRItftW6JECWv9v3l6elrrcnIF5fr169u8TkxMZPz48SxdupRz586RmZlJSkqKtaVg9+7dODo60qpVq1set23btjRs2JDvvvsuV/4uKikQkVzz22+/MXz4cE6ePMnRo0cJDAy01rVo0YIWLVrYMbqrktMzWbDtJP/58zjnE65+Y1Xcy4Vnm5fjqcZl8HZztnOEIiIFy5AhQxgyZMgN60JDQzl9+vRN9/3ll19uWte3b1/69u17r+Hd1r/Xyhk2bBirVq3iww8/pEKFCri7u9OtWzfS09MBcHd3v6PjdurUiUWLFnHw4EFq1KiR7XH/m5ICEck1K1eu5PDhwwC89dZbzJ49284R/U98agb/3RzFFxsjufL/KxAH+rrxfMty9GxQBncX+7deiIhI3rdp0yb69u3LY489BlxtOYiKirLW16hRA4vFwvr1663dh27k3XffxcvLiwceeIB169ZRtWrVHI1bSYGI5JoxY8Ywb948atSoQe/eve0dDnC1m9B/t0TxydpjxKVcTQZCinnwUqvydKlbGhcnzccgIiJ3LiwsjMWLF/Pwww9jMpkYM2aMzQQaZcuWpU+fPvTr148ZM2ZQq1YtTpw4wfnz5+nevbvNsT788EPMZjP3338/69ato3LlyjkWt5ICEcl2kZGRTJgwgU6dOtG1a1dreYkSJdixYwcVKlS4bj2C3Ga2GCzeeZppq45wNi4VgAolvRjYugIP1QzUgmMiInJXpk6dSr9+/WjatCnFixdn5MiRxMfH22wza9Ys3njjDV5++WUuXbpEmTJleOONN254vGnTptkkBhUrVsyRuE2GYRg5cuR8JD4+Hl9fX+Li4vDx8bF3OCL52rUp2TIzM6latSp79+7NEwOHrzEMg7Xh53lvWTjhMQnA1W5Cg9tWpGvd0jg62DdZEREpqFJTU4mMjCQ0NBQ3N83cll1udV2z8oyrlgIRyVaVK1emYcOGbN68mTNnznD48GGqVatm77DINFv4K+oy0/+I4K/Iy8DV2YQGtK5An6ZlcXPOO4mLiIhIblNSICJ37dSpU6xbt46nn37aWmYymZg0aRKrV69myJAhObrQyu0kp2ey8kAMaw6fZ/2RC9YxAy5ODjzTrCwvt6qAr4dmExIREVFSICJ3Zfjw4Xz00UdYLBaaN29OaGiota5Vq1a3nX85J52+ksz8LSf49q+TxKdmWst93Z15sEYAr9wfRpDfnU0JJyIiUhgoKRCRu+Lj40NGxtVv3qdMmcLHH39s13jiUzNYe/g8S/ee449DMVj+f7RUSDEPHqwRyAOVS1I72E8DiEVERG5ASYGI3JJhGPzxxx+0bNnSZqXJgQMH8tlnn9GnTx9effVVu8RmthisOBDN93+fYtPRi2SY/zdvQrMKxejXLJTWlUrioMHDIiIit6SkQERuas2aNQwYMIDDhw/z2Wef0b9/f2tdkSJFiIyMtMvMQqkZZn7ccZrPNhznxKVka3mFkl50qBbAw7WCqBTgnetxiYiI5FdKCkTkpnx9fa0rEL///vs888wzNklAbiYEhmGw/0w8i3ae5pc9Z7mcdHW5eF93Z55uHELnOkFUKKlEQERE5G4oKRARzGYzf/zxBwEBAdSqVctaXq9ePZo1a4aTkxOvvPKKXWJLSsvk+79PsWDbSSLOJ1rLS/m5079FKN3rB+Ppqo8yERGRe6G/pCKF3NGjR7n//vs5deoUXbp0YdGiRTb1K1aswNPTM9fjOh+fyrzNUXy99YR1BiFXJwfaVQugS91StKhQXIOGRUREsomSApFCrmzZspjNZgB+/vlnTpw4QUhIiLU+NxMCwzD4K/Iy32w7ybL956wDh0OLe9KvWVkerVMKHzetKyAiIpLdlBSIFAJms5kNGzbw/fffU6xYMSZMmGCtc3Jyon///uzYsYN+/foRFBSUKzElpWVy9HwiZ2JTOBubwrm4VP48csGmi1C9kCI837Icbar446gZhERExA769u1LbGwsP//8s7Xsxx9/5KmnnuKdd95h3759fPXVV9ftFxERQYUKFXIx0nujpECkEEhPT+fhhx8mMTGRIkWKMHr0aNzc3Kz148ePx2TKuYfulHQzu05e4a+oy+w/E0d4TAKnLqfccFt3Z0c61wmiV6MQqpfyzbGYRERE7sbnn3/OgAEDmD17Ns888wx9+/alQ4cOzJ0712a7EiVK2CnCu6OkQKQAiYqKYvXq1Tg4OPDMM89Yy93d3XnkkUdYsGABKSkp7Nq1iyZNmljrszMhsFgMIi8lsfd0LHtPx7H7VCz7z8TZrCFwTXEvV8oUdSfQz50gXzfKl/DiwZqB6iIkIlIIGIZBSobZLud2d3a8q79977//PuPGjWPhwoU89thj1nJXV1cCAgKyM8Rcp6RApIBITU2lcuXKpKWlERoaSt++fW0+8F599VUefvhhHnroIby8vO76PIZhkJphIS4lg9iUdGKTMzifkMb+M3HsPR3L/jPxJKZlXrdfgI8bDUOLUreMH5UDfajo701RT5e7jkNERPK3lAwzVceusMu5D77dHg+XrD0Gjxw5kk8//ZTffvuNBx54IIcisx8lBSL5yOXLl5k+fTp79uyhfv36jBkzxlrn5uZG06ZNWbt2LZGRkRw6dIiqVata6xs1akSjRo1ueXyzxeD4hUT2nYnjwNl4ziekEZeSQfy1n9QM4lMySTdbbnkcN2cHqgX5UrP01Z/6IUUpXcQ9R7soiYiI5JRly5axZMkSVq9ezf33339d/W+//WbzhVvHjh354YcfcjPEe1ZgkoJPPvmEDz74gOjoaGrVqsXMmTNp2LChvcMSybILFy6wefNmIiMjue+++6hdu7a1ztnZ2TpIODo62iYpAOjfvz+tW7emTZs2VKpU6YbHzzBbiLyYxKFz8RyJSeBcbCoxCanExKdx5krKHTflOjqY8HN3xtfDmaIeLlQO9KZmKT9qBvtSoYSXpgsVEZFbcnd25ODb7e127qyoWbMmFy9eZNy4cTRs2PC6FvfWrVsza9Ys62t7TOV9rwpEUvDdd98xZMgQZs+eTaNGjZg+fTrt27cnPDyckiVL2js8KeQsFgsODrYPyKtXr2br1q1cuHCBcePGUaRIEWvd1q1b6dy5MwATJkywSQq8vb0pX748x44d4/jx42RkZODs/L/+94907U5ETAJnY1P5cecZEtPMJKRmEB2XypnYFM7EpnD6csotv+n3cHGkWpAP1YJ8KVPUAx93Z3zdnfFxc/rf7+7OeLrcXX9MERERuDqeLatdeOylVKlS/Pjjj7Ru3ZoOHTqwbNkyvL29rfWenp75aqahG8kf/xK3MXXqVJ577jnrwMrZs2ezdOlSvvzyS15//XU7R3dr+8/E8c2PSzhycB+OhpnXhw2mRPFiWAwDiwGHw8OZO3ceBiZa338/LVreR4bFgtlikGG28NGMj0lKScXXrwj9nulLEU8Xinq44OfhzOIfv2fNH6swYTBu7Fibm/XoseO88dY7ZDi4UbdRUx5+qBNODiYcHUw4O5r48IMPOB99DhcPL/q+MoKImESOXkjE0cFEQsxJju7Zjos5mb5PdKNx3ZoU8XDGw8WJuCuXGDhwIABNmjRh0KBBNu933LhxHDx4EIAFCxbYPNCuWrWK2bNnA/Dyyy/b9NdLT0+nR48eAFSvXt1mSk2A9957jy1btgDwxRdfUKxYMWvd1q1bmTRpEgC9e/emW7duNvs+/vjjpKSkUKZMGT799FObuo8//pjff/8dgJkzZ1K+fHlr3cGDBxk6dCgAXbp04bnnnrPZt3LlykRFRVGuXDnre75myZIlzJw5E4BevXrRoEEDa13ZsmWtv+/ZsweAtEwzl5PSuZSYzvCpc8HVCwd3H6auPsblxHTOJ6QScT6R01duPKPPv3m6OFIpwJtKAT6UKeqBv48r/j5uBPq6EVLMU9N/ioiI/EtISAjr16+3JgbLly+3SQzyu3yfFKSnp7Njxw5GjRplLXNwcKBNmzbWh8R/S0tLIy0tzfo6Pj4+x+O8mY/XHGX5uWJQ5D4Auny59/qNil9tWtu+F97fu9G2zr0BuF/9ddNXf/9rxyIQ1B2Adl+E4+QYgbODCQcHE4mpmRhBXQDYdQK++GST7a6OjaDU1V+3fr3zX8d1hOKNARi15jKsWWdTa5R5AiMznX0n0oj4Zidli3sQ4OuOh7MjS/ee5cDeSEwmB1YciIH//wbd1cmRNQfPsXTbYcxJl+nwYCf+OYTHYrFY5weOjY297hJt376dJUuWAFe7kv1TdHQ0v/76KwBNmza9bt/ly5eTmJhItWrVrqs7cOAAy5YtAyAhIcFanp5p4eDpS6wLP4+TT0ksR9KJXXEYVydHXJ0csBiQWvUhvCs7keBXks6fbMLBBA4mEyYTRHo1J/CZipgcnXj193OE7NqCr7szni5OxKek0WTUAkwu7pxycqPGuBUkXDdwNx44e128ACW9XQkp5oG3mzNerk54uTnh7+1GkJ8bpYq4E1zEg1J+7jjowV9ERCRLgoODWbduHa1bt6Z9+/YsX77c3iFlm3yfFFy8eBGz2Yy/v79Nub+/P4cPH77hPpMnT+att97KjfBuK9DPDY/0K8QlpeLg7IanX1EwmXAwmXA0mTCbM0mIjwPDwMvTA18fH5wcTTg7OuDkYOLwoQNkpqfh5uJM9Zq1uZKczpWkdJLSbfuFW4yrD7Lp/zq/OTkObzdnihQthtlikGkxMFssXImLx2KAyTCoXT6Q8iW9qFDSC8OApWs28feh4zh6FSUgpDzphpPN+UyOzpgcnUnGk6X7ztmesFJn/Ct1BmDgwj3/iqYYAU+9D8CkCIO5k1cT4OuGh4sTLo5Q/JERmJxcOOdfio4fbSA900xxL1dKeLtysnhD/Fp4ADBnyzncPeK5kpzO5aQMjp1yxL/nJMxJl9mSEsAna48Sm5zOxcR0Liam4fPYODzS00jxcOP5//5NcW9X/L3dCPB15ZxTIB5VWmJycGL50SR+jNrHvtNxHIpOID3Tgn/3twEIB8LXHrN9OxVbc61H4e5Tsf96r564lAwF4FwKnDt++V/1PpAK8L/r6uRgoqinC0U9XSju5fqP310o5uVKaHFPKvl7U0Qz+oiIiOSY0qVL2yQGgYGB9g4pW5gMw7h+8vB85OzZs5QqVYrNmzfbzLs+YsQI1q9fz7Zt267b50YtBcHBwcTFxeHj45Mrcf/T6dOnra0VFSpUwMXlfw91iYmJnD59GoDixYtTvHhxm32PHj2K2WzG2dmZcuXKWcvTMy2ciznP5SuxZFoMSgYE4uTiitlskGGx4IKZlNgLODqY8PHxuW6BjVOnTpGZmYnJZLLpzgJXv6m/9m19yZIl8fDwID3TQkqGmdS0dE6djSYlw8ylVBMX0x2JvJjExcQ0ktPNxCelkpJhxtEEHu5uODuaMAxIy7SQkp5BYmoGFxIzSL/BnPZ5jaeLI4G+rgT5uFKqiAeuLs6kZVpIy7z6IF/S2w1/H1dKervh6uSA2TCwWAwMwMXRARenqz9pmVen94xLySA5LRMPVye8XZ3wcnXC18OZYp4uFPN0xcfdSX34RUQk30pNTSUyMpLQ0FCbBTTl3tzqusbHx+Pr63tHz7j5vqWgePHiODo6EhMTY1MeExNz00UkXF1dcXV1zY3w7kjp0qVvWufl5UXlypVvWn+zQS0uTg6ElAogpNQtFtIocfPVYoODg29a5+fnh5+f33Xnc3FywNfdGX+/8jfe8Q5ZLAYXk9I4dTmFCwlppGaYSckwk5Juxs3ZER93J3zcnHFyMHExKZ3z8alcSEizGTzraDJRxNOFIh4uFPFwJt1s4UJCGjHxqcQmZ+Dn4WxtZXBzdiTDbCHDbJCaYeZCQhrnE1KJjkslKc2Mk6MJJ0cHXBxNlC/hRfVSV6fZLFPUQw/pIiIiUiDk+6TAxcWFevXqsXr1auuMLRaLhdWrV1sHvEr+4uBgoqS3GyW99S2CiIiISG7I90kBwJAhQ+jTpw/169enYcOGTJ8+naSkJOtsRCIiIiIicnMFIino0aMHFy5cYOzYsURHR1O7dm2WL19+3eBjERERERG5XoFICgAGDhyo7kIiIiIieVw+n+Mmz8mu6+lw+01ERERERO6No6MjcHWNKck+ycnJADYLwt6NAtNSICIiIiJ5l5OTEx4eHly4cAFnZ2ccHPTd9L0wDIPk5GTOnz+Pn5+fNem6W0oKRERERCTHmUwmAgMDiYyM5MSJE/YOp8Dw8/O76TT8WaGkQERERERyhYuLC2FhYepClE2cnZ3vuYXgGiUFIiIiIpJrHBwctKJxHqTOXCIiIiIihZySAhERERGRQk5JgYiIiIhIIacxBfxv0Yf4+Hg7RyIiIiIikj2uPdveyQJnSgqAhIQEAIKDg+0ciYiIiIhI9kpISMDX1/eW25gMrTWNxWLh7NmzeHt7YzKZcvXc8fHxBAcHc+rUKXx8fHL13IWFrnHO0vXNebrGOU/XOGfp+uY8XeOclV+vr2EYJCQkEBQUdNvF4tRSwNWpsUqXLm3XGHx8fPLVTZYf6RrnLF3fnKdrnPN0jXOWrm/O0zXOWfnx+t6uheAaDTQWERERESnklBSIiIiIiBRySgrszNXVlXHjxuHq6mrvUAosXeOcpeub83SNc56ucc7S9c15usY5qzBcXw00FhEREREp5NRSICIiIiJSyCkpEBEREREp5JQUiIiIiIgUckoKREREREQKOSUFueCTTz6hbNmyuLm50ahRI/76669bbv/DDz9QuXJl3NzcqFGjBr///nsuRZr/TJ48mQYNGuDt7U3JkiXp3Lkz4eHht9xn3rx5mEwmmx83N7dcijj/GT9+/HXXq3LlyrfcR/fwnStbtux119dkMjFgwIAbbq/79/b+/PNPHn74YYKCgjCZTPz888829YZhMHbsWAIDA3F3d6dNmzZERETc9rhZ/SwvqG51fTMyMhg5ciQ1atTA09OToKAgevfuzdmzZ295zLv5nCnIbncP9+3b97rr1aFDh9seV/fwVbe7vjf6TDaZTHzwwQc3PWZBuIeVFOSw7777jiFDhjBu3Dh27txJrVq1aN++PefPn7/h9ps3b+aJJ57g2WefZdeuXXTu3JnOnTuzf//+XI48f1i/fj0DBgxg69atrFq1ioyMDNq1a0dSUtIt9/Px8eHcuXPWnxMnTuRSxPlTtWrVbK7Xxo0bb7qt7uGs2b59u821XbVqFQCPP/74TffR/XtrSUlJ1KpVi08++eSG9e+//z4zZsxg9uzZbNu2DU9PT9q3b09qaupNj5nVz/KC7FbXNzk5mZ07dzJmzBh27tzJ4sWLCQ8P55FHHrntcbPyOVPQ3e4eBujQoYPN9fr2229veUzdw/9zu+v7z+t67tw5vvzyS0wmE127dr3lcfP9PWxIjmrYsKExYMAA62uz2WwEBQUZkydPvuH23bt3Nzp16mRT1qhRI+OFF17I0TgLivPnzxuAsX79+ptuM3fuXMPX1zf3gsrnxo0bZ9SqVeuOt9c9fG9ee+01o3z58obFYrlhve7frAGMn376yfraYrEYAQEBxgcffGAti42NNVxdXY1vv/32psfJ6md5YfHv63sjf/31lwEYJ06cuOk2Wf2cKUxudI379OljPProo1k6ju7hG7uTe/jRRx817r///ltuUxDuYbUU5KD09HR27NhBmzZtrGUODg60adOGLVu23HCfLVu22GwP0L59+5tuL7bi4uIAKFq06C23S0xMJCQkhODgYB599FEOHDiQG+HlWxEREQQFBVGuXDl69erFyZMnb7qt7uG7l56eztdff02/fv0wmUw33U73792LjIwkOjra5h719fWlUaNGN71H7+azXP4nLi4Ok8mEn5/fLbfLyueMwLp16yhZsiSVKlXipZde4tKlSzfdVvfw3YuJiWHp0qU8++yzt902v9/DSgpy0MWLFzGbzfj7+9uU+/v7Ex0dfcN9oqOjs7S9/I/FYmHQoEE0a9aM6tWr33S7SpUq8eWXX7JkyRK+/vprLBYLTZs25fTp07kYbf7RqFEj5s2bx/Lly5k1axaRkZG0aNGChISEG26ve/ju/fzzz8TGxtK3b9+bbqP7995cuw+zco/ezWe5XJWamsrIkSN54okn8PHxuel2Wf2cKew6dOjAf//7X1avXs17773H+vXr6dixI2az+Ybb6x6+e1999RXe3t506dLlltsVhHvYyd4BiGSXAQMGsH///tv24WvSpAlNmjSxvm7atClVqlRhzpw5TJgwIafDzHc6duxo/b1mzZo0atSIkJAQvv/++zv65kTu3BdffEHHjh0JCgq66Ta6fyW/yMjIoHv37hiGwaxZs265rT5nsqZnz57W32vUqEHNmjUpX74869at44EHHrBjZAXPl19+Sa9evW47oUNBuIfVUpCDihcvjqOjIzExMTblMTExBAQE3HCfgICALG0vVw0cOJDffvuNtWvXUrp06Szt6+zsTJ06dTh69GgORVew+Pn5UbFixZteL93Dd+fEiRP88ccf9O/fP0v76f7Nmmv3YVbu0bv5LC/sriUEJ06cYNWqVbdsJbiR233OiK1y5cpRvHjxm14v3cN3Z8OGDYSHh2f5cxny5z2spCAHubi4UK9ePVavXm0ts1gsrF692uabvn9q0qSJzfYAq1atuun2hZ1hGAwcOJCffvqJNWvWEBoamuVjmM1m9u3bR2BgYA5EWPAkJiZy7Nixm14v3cN3Z+7cuZQsWZJOnTplaT/dv1kTGhpKQECAzT0aHx/Ptm3bbnqP3s1neWF2LSGIiIjgjz/+oFixYlk+xu0+Z8TW6dOnuXTp0k2vl+7hu/PFF19Qr149atWqleV98+U9bO+RzgXdwoULDVdXV2PevHnGwYMHjeeff97w8/MzoqOjDcMwjKefftp4/fXXrdtv2rTJcHJyMj788EPj0KFDxrhx4wxnZ2dj37599noLedpLL71k+Pr6GuvWrTPOnTtn/UlOTrZu8+9r/NZbbxkrVqwwjh07ZuzYscPo2bOn4ebmZhw4cMAebyHPGzp0qLFu3TojMjLS2LRpk9GmTRujePHixvnz5w3D0D2cHcxms1GmTBlj5MiR19Xp/s26hIQEY9euXcauXbsMwJg6daqxa9cu6+w37777ruHn52csWbLE2Lt3r/Hoo48aoaGhRkpKivUY999/vzFz5kzr69t9lhcmt7q+6enpxiOPPGKULl3a2L17t83nclpamvUY/76+t/ucKWxudY0TEhKMYcOGGVu2bDEiIyONP/74w6hbt64RFhZmpKamWo+he/jmbvcZYRiGERcXZ3h4eBizZs264TEK4j2spCAXzJw50yhTpozh4uJiNGzY0Ni6dau1rlWrVkafPn1stv/++++NihUrGi4uLka1atWMpUuX5nLE+Qdww5+5c+dat/n3NR40aJD138Pf39948MEHjZ07d+Z+8PlEjx49jMDAQMPFxcUoVaqU0aNHD+Po0aPWet3D927FihUGYISHh19Xp/s369auXXvDz4Vr19FisRhjxowx/P39DVdXV+OBBx647tqHhIQY48aNsym71Wd5YXKr6xsZGXnTz+W1a9daj/Hv63u7z5nC5lbXODk52WjXrp1RokQJw9nZ2QgJCTGee+656x7udQ/f3O0+IwzDMObMmWO4u7sbsbGxNzxGQbyHTYZhGDnaFCEiIiIiInmaxhSIiIiIiBRySgpERERERAo5JQUiIiIiIoWckgIRERERkUJOSYGIiIiISCGnpEBEREREpJBTUiAiIiIiUsgpKRARERERKeSUFIiIFGLr1q3DZDIRGxtrl/OvXr2aKlWqYDabc/xcBw8epHTp0iQlJeX4uURE8hslBSIihcR9993HoEGDbMqaNm3KuXPn8PX1tUtMI0aM4M0338TR0THHz1W1alUaN27M1KlTc/xcIiL5jZICEZFCzMXFhYCAAEwmU66fe+PGjRw7doyuXbvm2jmfeeYZZs2aRWZmZq6dU0QkP1BSICJSCPTt25f169fz0UcfYTKZMJlMREVFXdd9aN68efj5+fHbb79RqVIlPDw86NatG8nJyXz11VeULVuWIkWK8Oqrr9p0+UlLS2PYsGGUKlUKT09PGjVqxLp1624Z08KFC2nbti1ubm7Wsj179tC6dWu8vb3x8fGhXr16/P3339b6jRs30qJFC9zd3QkODubVV1+16Q6UlpbGyJEjCQ4OxtXVlQoVKvDFF19Y69u2bcvly5dZv379PV5REZGCRUmBiEgh8NFHH9GkSROee+45zp07x7lz5wgODr7htsnJycyYMYOFCxeyfPly1q1bx2OPPcbvv//O77//zvz585kzZw4//vijdZ+BAweyZcsWFi5cyN69e3n88cfp0KEDERERN41pw4YN1K9f36asV69elC5dmu3bt7Njxw5ef/11nJ2dATh27BgdOnSga9eu7N27l++++46NGzcycOBA6/69e/fm22+/ZcaMGRw6dIg5c+bg5eVlrXdxcaF27dps2LDhrq6jiEhB5WTvAEREJOf5+vri4uKCh4cHAQEBt9w2IyODWbNmUb58eQC6devG/PnziYmJwcvLi6pVq9K6dWvWrl1Ljx49OHnyJHPnzuXkyZMEBQUBMGzYMJYvX87cuXOZNGnSDc9z4sQJ6/bXnDx5kuHDh1O5cmUAwsLCrHWTJ0+mV69e1nERYWFhzJgxg1atWjFr1ixOnjzJ999/z6pVq2jTpg0A5cqVu+68QUFBnDhx4g6umohI4aGkQEREbHh4eFgTAgB/f3/Kli1r8427v78/58+fB2Dfvn2YzWYqVqxoc5y0tDSKFSt20/OkpKTYdB0CGDJkCP3792f+/Pm0adOGxx9/3BrLnj172Lt3L9988411e8MwsFgsREZGsm/fPhwdHWnVqtUt35+7uzvJycm3uQoiIoWLkgIREbFxrbvONSaT6YZlFosFgMTERBwdHdmxY8d1swj9M5H4t+LFi3PlyhWbsvHjx/Pkk0+ydOlSli1bxrhx41i4cCGPPfYYiYmJvPDCC7z66qvXHatMmTIcPXr0jt7f5cuXbZIeERFRUiAiUmi4uLjkyHoAderUwWw2c/78eVq0aJGl/Q4ePHhdecWKFalYsSKDBw/miSeeYO7cuTz22GPUrVuXgwcPUqFChRser0aNGlgsFtavX2/tPnQj+/fvp1u3bnccp4hIYaCBxiIihUTZsmXZtm0bUVFRXLx40fpN/72qWLEivXr1onfv3ixevJjIyEj++usvJk+ezNKlS2+6X/v27dm4caP1dUpKCgMHDmTdunWcOHGCTZs2sX37dqpUqQLAyJEj2bx5MwMHDmT37t1ERESwZMkS60DjsmXL0qdPH/r168fPP/9MZGQk69at4/vvv7eeIyoqijNnztwyaRARKYyUFIiIFBLDhg3D0dGRqlWrUqJECU6ePJltx547dy69e/dm6NChVKpUic6dO7N9+3bKlClz03169erFgQMHCA8PB8DR0ZFLly7Ru3dvKlasSPfu3enYsSNvvfUWADVr1mT9+vUcOXKEFi1aUKdOHcaOHWszWHnWrFl069aNl19+mcqVK/Pcc8/ZTFn67bff0q5dO0JCQrLtvYuIFAQmwzAMewchIiKF0/Dhw4mPj2fOnDk5fq709HTCwsJYsGABzZo1y/HziYjkJ2opEBERuxk9ejQhISHZ1pXpVk6ePMkbb7yhhEBE5AbUUiAiIiIiUsippUBEREREpJBTUiAiIiIiUsgpKRARERERKeSUFIiIiIiIFHJKCkRERERECjklBSIiIiIihZySAhERERGRQk5JgYiIiIhIIaekQERERESkkPs/pcdH05t50Z4AAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# reinitialize filter\n", + "dt = 0.1\n", + "initialize_filter(cvfilter)\n", + "\n", + "track2, zs2 = generate_data(150, sensor_std)\n", + "xs2 = track2[:, 0]\n", + "z_xs2 = zs2[:, 0]\n", + "\n", + "kxs2, _, _, _ = cvfilter.batch_filter(z_xs2)\n", + "\n", + "bp.plot_track(xs2, dt=dt)\n", + "bp.plot_filter(kxs2[:, 0], dt=dt, label='KF')\n", + "plt.legend(loc=4)\n", + "bp.set_labels(title='Effects of Acceleration', \n", + " x='time (sec)', y='X')" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "186ed769", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# reinitialize filter\n", + "dt = 0.1\n", + "initialize_filter(cvfilter)\n", + "cvfilter.Q = Q_discrete_white_noise(dim=2, dt=dt, var=2.0)\n", + "track, zs = generate_data(50, sensor_std)\n", + "\n", + "# recompute track\n", + "kxs2, _, _, _ = cvfilter.batch_filter(z_xs2)\n", + "bp.plot_track(xs2, dt=dt)\n", + "bp.plot_filter(kxs2[:, 0], dt=dt, label='KF')\n", + "plt.legend(loc=4)\n", + "bp.set_labels(title='Large Q (var=2.0)', x='time (sec)', y='X')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "6fc62541", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# reinitialize filter\n", + "dt = 0.1\n", + "initialize_filter(cvfilter)\n", + "cvfilter.Q = Q_discrete_white_noise(dim=2, dt=dt, var=50.0)\n", + "track, zs = generate_data(50, sensor_std)\n", + "\n", + "# recompute track\n", + "cvfilter.x.fill(0.)\n", + "kxs2, _, _, _ = cvfilter.batch_filter(z_xs2)\n", + "\n", + "bp.plot_track(xs2, dt=dt)\n", + "bp.plot_filter(kxs2[:, 0], dt=dt, label='KF')\n", + "plt.legend(loc=4)\n", + "bp.set_labels(title='Huge Q (var=50.0)', x='time (sec)', y='X')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "e0458555", + "metadata": {}, + "outputs": [], + "source": [ + "def make_ca_filter(dt, std):\n", + " cafilter = KalmanFilter(dim_x=3, dim_z=1)\n", + " cafilter.x = np.array([0., 0., 0.])\n", + " cafilter.P *= 3\n", + " cafilter.R *= std\n", + " cafilter.Q = Q_discrete_white_noise(dim=3, dt=dt, var=0.02)\n", + " cafilter.F = np.array([[1, dt, 0.5*dt*dt],\n", + " [0, 1, dt], \n", + " [0, 0, 1]])\n", + " cafilter.H = np.array([[1., 0, 0]])\n", + " return cafilter\n", + "\n", + "def initialize_const_accel(f):\n", + " f.x = np.array([0., 0., 0.])\n", + " f.P = np.eye(3) * 3" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "68eda18f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dt = 0.1\n", + "cafilter = make_ca_filter(dt, sensor_std)\n", + "initialize_const_accel(cafilter)\n", + "\n", + "kxs2, _, _, _ = cafilter.batch_filter(z_xs2)\n", + "\n", + "bp.plot_track(xs2, dt=dt)\n", + "bp.plot_filter(kxs2[:, 0], dt=dt, label='KF')\n", + "plt.legend(loc=4)\n", + "bp.set_labels(title='Constant Acceleration Kalman Filter',\n", + " x='time (sec)', y='X')" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "4735d085", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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/W6L6kZaCamT69On88ssvdO3aldtuu402bdqQm5vLhg0b+PHHH8nNzQVgwIABpKam0rNnT1JSUti+fTuvvfYagwcP9k3f2LFjR8A77eLIkSPR6XQMGTLElyxUpsGDBzNjxgwuvfRSrr/+ejIzM3n99ddp3rx5QH/8jh078uOPPzJjxgzq1q1LkyZN6Nq1a6W+9hO59tprufHGG3njjTcYOHCg33SZAG3atKFPnz507NiRhIQE1q1bx+eff87dd99dae9XeXr37s0dd9zBtGnT2LRpEwMGDECn07Fz504+++wzXn75Za666ip69OhBfHw8o0aN4t5770VRFD744IOAH5Off/6Zu+++m6uvvppzzjkHl8vFBx984Du5PurWW29l+vTp3HrrrXTq1IkVK1bwzz//nHLczZo1Y8qUKUycOJG9e/cybNgwoqOj2bNnD19++SW33347Dz30UKW8R6f6GTkdHTt25JNPPuGBBx6gc+fOmM1mhgwZctafMyFE+Jzq99Kpfk8eb/z48XzwwQdceuml3Hfffb4pSRs1ahTwm3frrbdy5513MmLECC655BL+/PNPli5dGnD1//LLL2fy5MmMHj2aHj16sGXLFubNm0fTpk1P+Fr/+ecf+vXrxzXXXEObNm2IiIjgyy+/JCMjw29SByEAmZK0usnIyFDHjh2rNmjQQNXpdGpqaqrar18/9e233/Zt89Zbb6m9evVSExMTVYPBoDZr1kx9+OGH1YKCAr9jPf3002q9evVUjUbjN01aRVOSrl271m//o1O9ZWVl+ZWPGjVKjYqK8it799131RYtWqgGg0Ft1aqVOmfOHN/+x/r777/VXr16qSaTSQX84qjM116RwsJC33N/+OGHAfVTpkxRu3TposbFxakmk0lt1aqVOnXqVNXhcJzwuJXxHqqqqr799ttqx44dVZPJpEZHR6vt2rVTx48frx4+fNi3zcqVK9Vu3bqpJpNJrVu3rjp+/HjfFJ6//PKLqqqq+u+//6q33HKL2qxZM9VoNKoJCQnqxRdfrP74449+z2e1WtUxY8aosbGxanR0tHrNNdeomZmZFU5JevzrOGrBggXqhRdeqEZFRalRUVFqq1at1LFjx6o7duzwbdO7d+9yp/ls1KhRudPAAurYsWP9yk7lM3J0StLjpxksbwrW4uJi9frrr1fj4uJUwDc96dl+zoQQoXGi76aTfS+d6vfk8b+ZqqqqmzdvVnv37q0ajUa1Xr166tNPP62+++67AVOSut1udcKECWpSUpIaGRmpDhw4UN21a1e5U5I++OCDalpammoymdSePXuqq1atUnv37u03ffXx32PZ2dnq2LFj1VatWqlRUVFqbGys2rVrV/XTTz89q/dV1EyKqp7CqDohhBBCCCFEjSVjCoQQQgghhKjlJCkQQgghhBCilpOkQAghhBBCiFpOkgIhhBBCCCFqOUkKhBBCCCGEqOUkKRBCCCGEEKKWk8XLAI/Hw+HDh4mOjkZRlHCHI4QQQaWqKkVFRdStWxeNpnZdG5LveyFEbXI63/eSFACHDx+mQYMG4Q5DCCFC6sCBA9SvXz/cYYSUfN8LIWqjU/m+l6QAiI6OBrxvWExMTJijEUKI4CosLKRBgwa+777aRL7vhRC1yel830tSAL4m5JiYGPmREELUGrWx+4x83wshaqNT+b6vXZ1JhRBCCCGEEAEkKRBCCCGEEKKWk6RACCGEEEKIWk7GFJwit9uN0+kMdxjVmlarJSIiolb2YxZCCCGEqMokKTgFxcXFHDx4EFVVwx1KtRcZGUlaWhp6vT7coQghhBBCiFKSFJyE2+3m4MGDREZGkpycLFe5z5CqqjgcDrKystizZw8tWrSodYsmCVEZDh8+zOzZs1m6dCnFxcU0adKEUaNGccUVVxARIV/pQgghzoz8gpyE0+lEVVWSk5MxmUzhDqdaM5lM6HQ69u3bh8PhwGg0hjskIaqVTz/9lFGjRmGz2XxlW7Zs4euvv6Zz584sWrSIOnXqhDFCIYQQ1ZVcqj1F0kJQOaR1QIgzs3z5cq6//nq/hODYloG1a9dy+eWX43K5whGeEEKIak7O0IQQoopTVZXbbrsNt9vtV64oCv3796du3bqANzH4+uuvwxGiEEKIak6SAiGEqOLuv/9+du7c6VemNSega9aVH3/80a9r45w5c0IdnhAhkZ1+gH3b14c7DCFqLBlTIIQQVdj333/Pyy+/7F+ojaD+tU9BUlNyzW+ze93XaLVa3G43e/bsCUucQgRbwewhNHTtJ/uuP0lKbRDucISocaSlIMg8Hg8LFiygf//+REdHYzabufDCC/nggw+k768Q4oRmzZrFoEGDAsoT+t0BSU3x2Ipx7N0A4OtaFBUVFdIYhQiVFFc6OsVNfsa+cIciRI0kLQVB5HA4uPbaa1m4cKFf+cqVK1m5ciVz5szh66+/xmw2hydAIUSV9eSTTzJ58uSAcnP7gURfMAhV9ZD1zfNoLDl+9QMHDgxViEKEjOrxYMQOgMteEuZohKiZpKUgiB588EG/hKBu3bo0bNjQ9/iXX37h1ltvDcpz7927F0VRAm59+vQJyvMJISrP4sWLAxICRVHQ121JQv87Achf8QG2f9dTUlJ2gqTX67n99ttDGqsQoeBw2IhQPAC4HJIUCBEMkhQESWZmJm+//TYABoOBzz//nIMHD7J3716WLl1KTEwMAJ988knAAMLK0KBBA44cOeK7bdy4kcTERHr16lXpzyWEqFwTJkwIKNNExlHnyv+iROiw7FhJ4erPArZ59dVXqV+/fihCFCKkbFaL777bYTvBlkKIMyVJQZB88cUXOBwOAO655x5GjBjhu1o/YMAAHn30Ud+2H3/8caU/v1arJTU1ldTUVOLi4rjzzjvp3r07Tz31VKU/lxCi8syaNYstW7b4F2oiSBr2CFpzAs7s/eR891LAfn369JFWAlFj2UuKffc9TmkpECIYZExBkBw5csR3v7wuOxdffLHvfnp6elBjueWWWygqKuKHH36QxcOEqMJ2797N3XffHVCe0P82jPXb4rEVk/nFFNTjuk8YDAZmzZoVqjCFCDm7tdB3X1oKhAgOOUMMkvj4eN/9jRs3BtRv2LDBdz8uLi5ocUyZMoWlS5fy9ddfEx0dHbTnEUKcnfz8fC688EI8Ho9fedS5fYm+YDCq6iH7mxdw5R0O2Pezzz6jVatWoQpViJBzlJR1H1KdkhQIEQySFATJ0KFDURQFgBkzZvDnn3/66nbu3MnUqVN9j4cPHx6UGBYsWMDkyZP59NNPadasWVCeQwhROcaNGxfQaqir05SEAWMBKFj5ESX/rgvY7+6772bIkCEhiVGIcHHaypICjyQFQgRFWJOCFStWMGTIEOrWrYuiKAFTd6qqyhNPPEFaWhomk4n+/fsHDMrNzc3lhhtuICYmhri4OMaMGUNxcTHh1qRJE0aMGAFAXl4eF1xwARdffDEDBgygdevWHDx4EIDevXvTsWPHSn/+rVu3ctNNNzFhwgTatm1Leno66enp5ObmVvpzCSHOnMVi4fbbb+e9997zK9cYo6lz5aNodAasu/6gYGXg2KPrr7+emTNnhipUIcLGabP67qsuSQqECIawJgUWi4X27dvz+uuvl1v/3HPP8corr/Dmm2+yZs0aoqKiGDhwIDZb2RfCDTfcwF9//cUPP/zAokWLWLFiRZUZbPf222/ToUMHwJvgLFu2jB9++MG3yNA555zD/Pnzg/Lc69atw2q1MmXKFNLS0ny3YLVKCCFOX25uLt27d2f27Nn+FYqGpCseJiIuFWfeEXIWvQiofps8+eSTzJs3j4gIGRomaj6XrajsgdMevkCEqMHCmhQMGjSIKVOmcOWVVwbUqarKSy+9xGOPPcbQoUM577zzeP/99zl8+LCvRWH79u0sWbKEd955h65du3LhhRfy6quv8vHHH3P4cGC/21CLj49nxYoVTJ06lQYNypZkT0lJ4bHHHmPNmjXUrVs3KM998803o6pqwG3ZsmVBeT4hxOkbM2ZM4ExDQNyF12Nq0gGP00bWl1Px2C1+9e3atePJJ58MVZhChJ3bUdZSgLQUCBEUVXZMwZ49e0hPT6d///6+stjYWLp27cqqVasAWLVqFXFxcXTq1Mm3Tf/+/dFoNKxZs6bCY9vtdgoLC/1uwRIVFcWjjz7K3r17OXz4MAcPHuTQoUM8/fTTQR1gLISo2tasWRPQZRLA1LwrsT1GApCz+FWcWXv96jUaDa+99ppvzJIQtYHHLkmBEMFWZZOCowPuUlJS/MpTUlJ8denp6dSpU8evPiIigoSEhBNO8zlt2jRiY2N9t2Ov4geLRqMhLS2NevXqodVqg/58Qoiqq6ioqNzBwRHxdUm6/AEACtd9jXX78oBtnn32WVmEUNQ6nmNaChS3dB8SIhiqbFIQTBMnTqSgoMB3O3DgQLhDEkLUEm63mwEDBpCVleVXruiMJA//LxpDFLYDf5H3y7sB+/br148HH3wwVKEKUWWojrIudJIUCBEcVTYpSE1NBSAjI8OvPCMjw1eXmppKZmamX73L5SI3N9e3TXkMBgMxMTF+NyGECIV77rmH1atXB5QnDroXfVIjXEU5ZH81HTxuv/q4uDi++uor6TYkaiXlmFWMJSkQIjiqbFLQpEkTUlNT+emnn3xlhYWFrFmzhu7duwPQvXt38vPzWb9+vW+bn3/+GY/HQ9euXUMesxBCnMjatWvLXXk4uvOVRLXuhep2kf3VNNyWvIBtXn/9daKiokIRphBVj7Os+5BWkgIhgiKsc9kVFxeza9cu3+M9e/awadMmEhISaNiwIePGjWPKlCm0aNGCJk2a8Pjjj1O3bl2GDRsGQOvWrbn00ku57bbbePPNN3E6ndx9992MHDkyaLP6CCHEmSgoKOCyyy4LKDc0aEd8n5sByPv5HeyH/g7Y5v777+e6664LdohCVFmKq6ylQONxhDESIWqusCYF69at4+KLL/Y9fuAB7wC7UaNGMXfuXMaPH+9b2Cc/P58LL7yQJUuWYDQaffvMmzePu+++m379+qHRaBgxYgSvvPJKyF+LEEJUxOFw0LNnT7Kzs/3KtdGJJA+dgKLRUrz1Z4o2LPKv12p59913uemmm6TbkKjVNMckBdJSIERwhDUp6NOnD6qqVlivKAqTJ09m8uTJFW6TkJAQtAXAhBDibHk8Hq644gr++usv/wptBMnDJqKNisORuYfcpYGLOL7//vtcf/31IYpUiKpL6z4mKZCWAiGCosqOKRBCiJpgwoQJLF26NKA8od8dGOq2wm0rJuuLKagu/6ufvXv35tprrw1VmNXS9OnTURSFcePGhTsUEWRad9naBBGqJAVCBIMkBbVMnz59/H5AGzduzEsvvRS2eISoyRYsWMALL7wQUB7Vrj/RFwxCVT1kf/M8rgL/WdYaNmzId999J2uanMDatWt56623OO+888IdigiBiGNaCnTSUiBEUEhSUEPdfPPNKIoScHvuued4+umnK9xPUZRyV1kVQpwem83GnXfeGVCe2qYLiQP+D4CC3+Zj+3e9X73BYGDFihVERkaGJM7qqLi4mBtuuIHZs2cTHx8f7nBECOg8ZS1p0lIgRHBIUlCDXXrppRw5csTv1rFjR6Kjo4P+3E6nM+jPIURVtmDBgoCBxRpTDNped6JE6LHtXkvB758E7Pfhhx/SqFGjUIVZLY0dO5bBgwfTv3//k25rt9spLCz0u4nqR+8p6z6kk6RAiKCQpOA0qaqK1eEKy+1Eg7LLYzAYSE1N9bv169evwv63jRs3BuDKK69EURTfY4CvvvqKDh06YDQaadq0KZMmTcLlcvnqFUVh1qxZXHHFFURFRTF16tTTfWuFqDFsNhv//e9//QsVDUlDHiIitg7OvMNkfvMC4P83PWjQIEaMGBG6QKuhjz/+mA0bNjBt2rRT2n7atGnExsb6bg0aNAhyhCIY9GpZUqBHkgIhgiGssw9VRyVON22eCBw0GArbJg8kUh+8/7K1a9dSp04d5syZw6WXXurrz/zrr79y00038corr3DRRRexe/dubr/9dgCefPJJ3/5PPfUU06dP56WXXiIiQj5aonY6cuQIXbp04eDBg37lcb1HYWrSAY/TRtaXz6DaLX71TZo04eOPP5apR0/gwIED3Hffffzwww9+U1OfyMSJE33TXYN3EUxJDKofg1rWfUivSku0EMEgZ2412KJFizCbzb7HgwYNOuH2ycnJAMTFxZGamuornzRpEo888gijRo0CoGnTpjz99NOMHz/eLym4/vrrGT16dGW+BCGqlZycHNq3b09WVpZfeVSbPsR29bYA5Hz3Ms6svX71iYmJrFu3jpiYmFCFWi2tX7+ezMxMOnTo4Ctzu92sWLGC1157DbvdHjA422AwYDAYQh2qqGRG1Q6l+bK0FAgRHJIUnCaTTsu2yQPD9tyn4+KLL2bWrFm+x1FRUWe0Kuqff/7JypUr/boEud1ubDYbVqvVNyCyU6dOp31sIWqK3Nxc2rVrF5AQ6FOakXDpPQAUrPoM69+/+tUbDAY2btxIQkJCyGKtrvr168eWLVv8ykaPHk2rVq2YMGGCzNZUQ6keD0aOaSlQ3KTv38n+9Yu5YPAd6PSS9AlRGSQpOE2KogS1C09lioqKonnz5md9nOLiYiZNmsTw4cMD6o5two+Kijrr5xKiOiosLOSCCy7gyJEjfuWayFiSh/8Xjc5Aye515P/6QcC+n3/+uXRnOUXR0dGce+65fmVRUVEkJiYGlIuaw24vwaj4j7858vF9dLGuZK2ipfOwsWGKTIiapXqc3YqQ0el0uN1uv7IOHTqwY8eOSkkwhKhp7HY7/fr1Y//+/f4ViobkK8YTEVMHZ+4hsr55HlSP3yZNmzbl8ssvD2G0QlQ/dmsxx48gibcdAMBz4A9AkgIhKoMkBcJP48aN+emnn+jZsycGg4H4+HieeOIJLr/8cho2bMhVV12FRqPhzz//ZOvWrUyZMiXcIQsRVnPmzGHdunUB5XG9R2Fs1B6Po8S7YvFxA4vBO7WmODvLli0LdwiiErmcDtZ99hz1uwyjfnNv64+tpJhYwKFGoMFDhOIh3pMDQFzB9jBGK0TNIlOSCj8vvvgiP/zwAw0aNOCCCy4AYODAgSxatIjvv/+ezp07061bN2bOnClzqYtaT1VVnnrqqYDyyJY9jxlY/BLOnAMB26SmpsrAfCGOs2nJHLr98zz1P+yJ6vG2rNmtRQDYFAMOdADE4k2yGzr34D5memwhxJmTloIaau7cueWWH39Vbe/evX6PhwwZwpAhQwL2GzhwIAMHVjzA+nTXUBCiunM4HAwYMICMjAy/cl1iAxIvGwdAwZoFWHesDNg3KiqKxYsXy2q8QhzHmf2v7/621Uto2+MyHCXeBMCGAZ2iIfKYQccmxcG+nX/SqHXHkMcqRE0jLQVCCHGaHA4Hl156KcuXL/crV/Qmkq/8Lxq9Cdu+P8lf/l7Avg0bNuSff/7h/PPPD1G0QlRP9t9ncXDXVoqzvON17IoRZ2lLwbGydq4NdWhC1EjSUiCEEKfp0Ucf5ZdffgkoT7rsfnSJ9XEVZpH19XMBA4vbtWvH+vXr0ekCT2yEEKDYCnz3OxSvgA97Ur/0sUNjQPGoxy8EjuvQppDFJ0RNJkmBEEKchl9//ZUZM2YElMd0vYrIlj1QXU6yFk7DYy3wq2/VqhWrVq2ShECIE9DYCyqscypGNIonICkw58tgYyEqg3QfEkKIU5Sens6AAQMCxtCYmlxAXK//AJD745s4jvzjV1+nTh3Wr18va3kIcRI6ZyEAqxrdyeY+/2Or4XxfnVNrxKXR+x67Ve8Sxw3tO32DkoUQZ06SglMkA2krh7yPoroqLi6mR48e2Gw2v3JtTDKJlz+EotFSvPl7iv9cGrDvggULfCt/CyEqpnd6ZxrSJTfjvD4jKG7Yz1fn0ppwKWVJwQGtt2NRDBZsJYFT/gohTo8kBSeh1WoB78BCcfasViuAdKEQ1YqqqgwaNIg9e/b4V2h1JA97FG1kLPYjOyn85Z2AfXv06MGFF14YokiFqN4M7mIA9FEJAKScf8ysd4rGr6WgUJ+KS/WexhTlZ4cuSCFqKBlTcBIRERFERkaSlZWFTqdDo5E86kyoqorVaiUzM5O4uDhfsiVEVaeqKnfddRe//fZbQF3igLswpLXAbS0ga+EzuG1Wv/qoqChmz54dqlCFqPYiPd6WAn20d7rexq07++rqWHeSZWzie+zQx1JkiyKeIqyFOVCvCUKIMydJwUkoikJaWhp79uxh37594Q6n2ouLiyM1NTXcYQhxyr755hveeuutgHJz+4GYzxuA6nGT/c3zuAuz/OojIyP5/fffadOmTahCFaLaM6vebkCm6EQAlGMuxNkVEx7tMWMK9DFYFDPxahElhTmhDVSIGkiSglOg1+tp0aKFdCE6SzqdTloIRLWiqir3339/QLk+7RwS+t8JQP6KD7Dt3eRXbzAY2LlzJ3Xr1g1FmELUCB63G7NqBQWiYhN95buu/A7bd4+iHzgJz7LXfOWqMR6rNhpcR7AX5YYjZCFqFEkKTpFGo8FoNIY7DCFECI0fP55///3Xr0wTGUvysIkoETqsO36n6I8FAfu98847khAIcZqKCvOIVbyTUZhjE3zlzdv3hPbehQL/+PWY7nimOGwR0eACZ7EkBUKcLekgL4QQ5Zg7dy4vvPCCf6GiIfmK8UTEJOPMOUD2dzMDZtS68847ufHGG0MYqRA1g6XA2wXIpuowmsqfvlfVGnz3tVEJOCOiAXBb84IfoBA1nCQFQghxnN9++40xY8YElMf1HoWxUXs8jhKyvnwG1VHiV9+lSxdmzZoVqjCFqFGOjgsoUswVbqNGlLXY66IScBliveW2ihc9E0KcGkkKhBDiGBkZGVx22WV4jlsMKbJlT2K7jgAg57uXcOYc8KtPS0tjyZIlIYtTiJqmpMibFFg1J0oKyloKDDGJeEqTAsWWH9TYhKgNJCkQQohSdrudiy++mKKiIr9yXWIDEgfdB0DBmgVYd6z0qzcYDPz+++/Ex8eHLFYhahpHcT4AJSdICjgmKTDFJKIY4wDQ2qWlQIizJUmBEEKUmjBhAtu3b/crU/Qmkoc/hsYQiW3fn+Qvfy9gv3nz5tG4ceMQRSlEzeQqHRdg10VXuI1yTPehqNgkFFMcADpnYVBjE6I2kKRACCGAWbNm8fLLLweUJ112P7qEergKs8j7dgao/t2KevbsyYgRI0IVphA1lqc0KXDqYircRtGVJQXRcUlElK58rHcWVbSLEOIUSVIghKj1PvzwQ/7v//4voDym61VEtuyB6nKStXAajiL/BZIMBkO5C5sJIc5AibcLkFt/gqSgtKXApuowRprRm71JgcktSYEQZ0uSAiFErbZy5UpuuummgHJjo/bE9foPALk/vonjyD9+9Yqi8M0339C2bduQxClETeOw21jzyn9Y8/E0AJTScQFHBw+XR1PaUlCoeLsYGWO8SUGUR5ICIc6WLF4mhKi1srOzufzyywPWGtDGJJN0xXgUjZbizd9T/OfSgH3feustLrnkklCFKkSNs3npHLrmfo0z51uy02/0DRZWTCdICvTepODoDEWRpUmBWbUEOVohaj5pKRBC1ErFxcW0b9+e/Px8/wqtjuRhj6KNjMV+ZCc53weuO3DTTTdx2223hSZQIWoo09Z5AOgUN7t+fIeI0nEBmtLBw+VJaHQuHlUh23wOAObYJAAiFTsOuy24AQtRw0lLgRCi1ikuLqZTp04cPnw4oC7hkjsxpLXAbS0ga+Ez4Hb61bdt25bZs2eHKlQhaqQDO/+krWOL73Hav59j1XrHEkREVTy1b+PWnci+40/OT04DwByb6Ksrys8mMaV+kCIWouaTlgIhRK3zyCOPsGPHDr8yRVEwtx9IdPuBqB432d88j7swy28bk8nEypUr0ev1oQxXiBrn4M/vALBN344SVU8jz0FaO7cBoD9BUgCQVLcRETrv36A2IoJCIgHYtexDVn/wBOpxCw8KIU6NJAVCiFolLy+Pt99+O6Bcl9qChP53ApD/64fY9m4K2Ob9998nNrbi/s5CiFNTJ/NXAEra38zW+H5+dYbohNM6VrHiHV/Qdfs0uu1+mc3LPq+cIIWoZSQpEELUGvv27aNt27Y4nf5dgjSRsSQPm4gSocO643cKV38WsO/LL7/MVVddFapQhajREtzZ3n8bt6PpdS/wd0RrX11UbPJpHev4FZBt2xaffYBC1EIypkAIUSv8888/dO3aNXBgsaIh+YrxRMQk48w5QPZ3MwP2feutt7j99ttDE6gQNZytxEI83kHFCamNiU1MwfzQz6z64FEUp4Wujc45veNpo8Fd9rhBzm+oHg+KRq57CnE6JCkQQtR4qqpy3XXXBSQEGo2GmF6jMDZqj8dRQtaXz6A6Svy2ue666yQhEKIS5RzZTz28C5DFxHtbBQzGSLrf9tIZHc+uiwFH2eO6aib7dm6mUcvzzzpWIWoTSaOFEDXe4sWL2bBhQ0C5sUV3YruOACDnu5dw5hzwqz///PN59913QxKjELVFQeY+ALI1iZVyNd8dYfLdT8ebZBxZu/CsjytEbSNJgRCiRissLGT06NEB5RGJ9UkcdB8ABWsWYN2x0q++UaNGrFq1CpPJFLCvEOLMWUuT78KIpEo5Xoxlv+/+3hbe1cnNB36plGMLUZtIUiCEqNGmTp1KZmamX5miN1Hv2kloDJHY9v1J/vL3/Oo1Gg1//PEHRqMxlKEKUSu48g4BUGKsUynHy49rA0Ae0cS16A5AgiNwDRIhxInJmAIhRI114MABXnzxxYDypMvuh+gUlJJ8sr5+DlT/ec3Hjh1LnTqVc8IihDhOUToAzsiUSjlcy5HTWPVVIg0vHoPJaQfArBZXyrGFqE2qdEuB2+3m8ccfp0mTJphMJpo1a8bTTz+Nqqq+bVRV5YknniAtLQ2TyUT//v3ZuXNnGKMWQlQFGRkZtG/fHrfb7Vce0/UqIlv2QHU5OfzZZDzWAr/6tLQ0Hn300VCGKkStorN6kwJi6lbK8eKSUuk+5gXqNW1NVOkKx2a1BM9xf/tCiBOr0knBs88+y6xZs3jttdfYvn07zz77LM899xyvvvqqb5vnnnuOV155hTfffJM1a9YQFRXFwIEDsdlsYYxcCBFOmZmZXHDBBeTl5fmVGxu1J67XfwDI/fFNHEf+8atPSkpi2bJlpKamhixWIWqbSJu3O58uvl6lHzs6zpsUaBSVooLcSj++EDVZle4+9PvvvzN06FAGDx4MQOPGjfnoo4/4448/AG8rwUsvvcRjjz3G0KFDAe+KoykpKSxcuJCRI0eGLXYhRHh4PB4uueQSjhw54leujUkmaegEFI2W4s3fU/znUr/6pKQkjhw5QkRElf5aFKLai3V5Fy6LSmxQ6cc2GCMpUfWYFAfF+dnElCYJsmaBECdXpf9KevTowU8//cQ//3iv5v3555/89ttvDBo0CIA9e/aQnp5O//79ffvExsbStWtXVq1aVeFx7XY7hYWFfjchRPWnqio33ngjmzdv9q/Q6kge9ihaUwzOjN3kfD8rYN8333xTEgIhgkz1eEj0eK/gx6Q0CspzFCneFY6tBVlsn96LHc/0kK5EQpyCKv0L+Mgjj1BYWEirVq3QarW43W6mTp3KDTfcAEB6urdfYkqK/2CllJQUX115pk2bxqRJk4IXuBAiLGbMmMFHH30UUJ444C4MaS1wWwvI+GIKuJ1+9Z07d+bKK68MVZhC1Fr5ORnEK96/v6S04CQFVo0ZPLkUHv6Hjo4tAGSm76dOvSZBeT4haooq3VLw6aefMm/ePObPn8+GDRt47733eOGFF3jvvfdOvvMJTJw4kYKCAt/twIEDJ99JCFGlLV++nPHjxweUm9sPxHzeAFSPm+xvnsddmOVXr9frWbx4MRrpXiBE0OWmexcuyyUGvSE4U/6WaKMBcGSUjRnKz9gXlOcSoiap0i0FDz/8MI888ohvbEC7du3Yt28f06ZNY9SoUb7BgBkZGaSlpfn2y8jI4Pzzz6/wuAaDAYPBENTYhRCh43Q6ueaaa/B4/KcWNaSdQ0L/OwHI//VDHPs3B+z78MMPk5iYGJI4hajtirO8C43laZNICNJz2HUx4ARd3q5jnlcu/glxMlX60pjVag24eqfVan0//E2aNCE1NZWffvrJV19YWMiaNWvo3r17SGMVQoTP2LFjAxYo00TGkjRsIkqEDuuO3ylc/VlA0tCjRw+eeOKJUIYqRK1mL124rFhfOasZl8ep87YUxFn3lpXlHwra8wlRU1TploIhQ4YwdepUGjZsSNu2bdm4cSMzZszglltuAUBRFMaNG8eUKVNo0aIFTZo04fHHH6du3boMGzYsvMELIUJi6dKlzJ49279Q0ZA0ZDwRMck4cw6Q/d3MgP3at2/PL7/8gl6vD1GkQgi3xTvI2KEPVjsBuPWxAKS5DoHiLfMUyArHQpxMlU4KXn31VR5//HH+7//+j8zMTOrWrcsdd9zhd2Vv/PjxWCwWbr/9dvLz87nwwgtZsmQJRmNw+ioKIaoOi8Xim3jgWHG9R2Fq3B6Po4SsL59BdZT41bdo0YLVq1dLQiBEqJXkA+A2xAbtKVRjHABRStl6RRGWjKA9nxA1RZVOCqKjo3nppZd46aWXKtxGURQmT57M5MmTQxeYECLsVFWlT58+5OTk+JVHtu5FbNcRAOR89xLOHP++xNHR0axYsUIuHAgRBhp7PgCqKT5oz6GY4gLKjDZJCoQ4mSo9pkAIIcqjqirXXXcd69at8yvXJTcmcdC9ABSs+gzrjpV+9VqtlpUrV8qKxdXYrFmzOO+884iJiSEmJobu3buzePHicIclTpHOkQ+AppwT98qijQxMOKKd2UF7PiFqCkkKhBDVzn333ccnn3ziV6Yxmkm+8r9odEZK9mwg/9cPAvZ78803adeuXajCFEFQv359pk+fzvr161m3bh19+/Zl6NCh/PXXX+EOTZwCvdO7WKg2KnhjCnTmwGMneHLK2VIIcawq3X1ICCGO9+qrr/Lqq6/6FyoakoY8jC4+DWd+OtlfPweq/0xDgwYN4tZbbw1hpCIYhgwZ4vd46tSpzJo1i9WrV9O2bdswRSVOldFVBJR/4l5Z9ObAloIYrFiLC4g0B28sgxDVnbQUCCGqjWnTpnHvvfcGlMddeAOmph3xOG1kfTEVj63Yr95oNPLuu++GKkwRIm63m48//hiLxVLhNNR2u53CwkK/mwifSI83KTBEBy8pMMWUv+5ITvr+oD2nEDWBJAVCiGrhww8/5NFHHw0oN53Tndge1wKQs/gVnFl7Arb54IMP/BY4FNXbli1bMJvNGAwG7rzzTr788kvatGlT7rbTpk0jNjbWd2vQoEGIoxXHii5NCqJig7dOwfHHziYOgMJMWcBMiBORpEAIUeXl5OQwZsyYgHJdYgOSLrsfgMI/vsS6fUXANtdddx1XXXVV0GMUodOyZUs2bdrEmjVruOuuuxg1ahTbtm0rd9uJEydSUFDgux04ICeG4eJ2uYhWvNMDBzMpiI4rO7Zd1ZGhbwhASY783wtxIjKmQAhRpTmdTvr06YPD4fArV/SRJA9/DI0hEtu+P8lbNidg30aNGvHGG2+EKlQRInq9nubNmwPQsWNH1q5dy8svv8xbb70VsK3BYMBgMIQ6RFGOovyj1+whJj45aM9jNEXhUCPQKy7ylFhKjHXAAS5Z1ViIE5KWAiFElXbrrbeydevW40oVki5/EF1CPVyFmWR99WzAwGKz2cy6deuIi4sLWawiPDweD3a7PdxhiJMoys8CoFg1EaEL3sKBikZDoWL2PmdEPK7IlNIA0oP2nELUBNJSIISost566y3ef//9gPLYniOJbNEV1eXwDiwu8R88qtfr+fXXX0lKCl4XBREeEydOZNCgQTRs2JCioiLmz5/PsmXLWLp0abhDEydRUuidFrRYMWMO8nNZNVHgyceqi4eYNEgHnVUWMBPiRCQpEEJUSTt37mTs2LEB5aZmnYm78AYAcpa+jiNjt1+9RqPhq6++4vzzzw9FmCLEMjMzuemmmzhy5AixsbGcd955LF26lEsuuSTcoYmTsBV4FxCzaKOD/lwlmmjwgN2QRITZe3FA7ywI+vMKUZ1JUiCEqJKmTZuG2+32K4uIr0vSkIcAKFy/CMvWnwL2++KLL7j00ktDEqMIPZlatvpyWHIBsIUgKbBFRIML3KYkDKXrFphcMh2tECciYwqEEFXOrl27AroNKXoTycP/i8YQhe3AX+T9/E7AfnPnzmXo0KGhClMIcRrcpUmBXRf8BcTsJu84Ak1cfQzR3paCo2skCCHKJy0FQogqxeVy0bt374BWgsTLxqFPaoSrKIesr6aBx+VXP2HCBEaNGhXKUIUQp8FjzQPApY8J+nM1vPIpVv/aknMH3U5u+j4AzGrxSfYSonaTlgIhRJWxdu1aUlJSOHz4sF95TNeriGrZE9XtJGvhM3gs+X71rVq14umnnw5hpEKI06XYvH36PYbgtxSkNmxBtxuewBwTjznOO/1pDFZcTsdJ9hSi9pKkQAhRJfz888/06NGD3Nxcv3Jjkw7E9b4JgNwf3sRxeIdffXR0ND/++CM6nS5ksQohTo/q8aC153vvm+JD+tzHrolQlJ8T0ucWojqRpEAIEXYWi4Vrr70Wl8u/S5A5tTFJQx5GUTQUbVpC8Z/+004qisK3335LvXr1QhmuEOI0/PHlqxRPqkvL/OUAaCJDmxRE6PQUqSYAivMzQ/rcQlQnMqZACBF28+fPJzs7269M0RlIHDoRTNHYD/9N7o9vBux38803c9FFF4UqTCHEGdDt/I5opcT3OCIqMeQxFGmiiVZLsBRkn3xjIWopaSkQQoSVx+Nh0qRJAeWJl94DcfXwWPKp++934PZvRYiIiGDatGmhClMIcYbMjiy/x3pzQshjsGq806Dai3JPsqUQtZe0FAghwsZms3HRRRdx6NAhv/LozsOIatMH1e0ic+E0Dhz8K2Dfhx56iJSUlFCFKoQ4Q3Eu/6vzxpjQJwW2iGhwg7NIxhQIURFJCoQQYZGXl0eXLl3YtWuXX7mx4XnE9xnt3ebnd7CXkxBcdNFFTJ06NSRxCiHOnMvpIEHNB6WsLCo2ucLtg8WhiwU7uCzSUiBERaT7kBAi5DIyMmjXrl1AQqCNTiZp6AQUjZbiLT9StGFRwL6NGjXi22+/RaORry8hqrrczENoFRWXWvb3Gl8n9BMDOA1xAKgleSF/biGqC2kpEEKElKqq9O3bN6DLkFZvJPnKR9FGxmJP30Xu928E7NuwYUNWrFhBdHR0qMIVQpyF/Ix91AGylQRs136C2+WiWVTo/349pUmBIkmBEBWSpEAIETKqqjJixAi2bdsWUBfX/04MaS1wWwvI+nIqqst/kaHGjRuza9cutFptqMIVQpyl4qwDABREJNKydaewxaGUToOqdRSELQYhqjppfxdChMx7773Hl19+GVBuvmAw5nb9UT1usr96FndhVsA2zz77rCQEQlQzzryDAFgMdcIah6Z0wTS9I59Vcyaw6cePwhqPEFWRtBQIIULC4/Hw6KOPBpQb6rUiod9tAOQtm4Nt/+aAbc455xyGDRsW7BCFEJXMU3gYAGdkeGcKizB710ZoX/IH7PsD9gH9rwtrTEJUNdJSIIQIiQceeIAjR474lWki40gaOhFFG4Fl+wqK1i4M2C8mJoZFixah1+tDFKkQorJEWNIB8ETXDWschujQL5gmRHUjSYEQIugWLlzIyy+/7F+oaEi+YjwR0Yk4sveTs/iVgP0SEhLYtGkTLVq0CFGkQojKZLJlAqCLC29SEBkbmBQ4HfYwRCJE1SVJgRAiqJYuXcqIESMCyuN6/Qdjo/Pw2K1kffkMqtPmV1+/fn22b99OkyZNQhWqEKKSxTi944OMifXDGkdUXOCYhuICWbNAiGNJUiCECJoff/yRwYMH4/F4/MpNLboR2+1qAHIWv4wr96BffbNmzdi5cyd16oR3cKIQ4uwkur0rCMfWaRjWOGLiAxdMsxTI6sZCHEuSAiFEUOzdu5fLL78ct9vtVx4RX5ekwfcDULh2IdYdK/3qo6OjWbt2LUajMWSxCiEqX1FBLlGKtwUwMa1xWGMxRpqxqTq/spIiaSkQ4liSFAghKp3NZuOSSy7Bbvfvs6voDCQPm4jGEIXtwF/kLZsTsO/ChQuJj48PVahCiCDJPbIXgEIiiTTHhjcYoEgx+z22FclCZkIcS5ICIUSlu+mmm9i1a1dAecKAsejrNMFdnEfuoufB49+KMHDgQPr27RuqMIUQQVSU4121PE+TEOZIvIo0/omJ0yItBUIcS5ICIUSleumll/jss88Cys3nD8J8bl9Uj5usr6bjLMz2qzcYDMycOTNUYQohgsxe4P0bt2jjwhtIqcIej7AmaThbDB0AcFnzwxuQEFWMJAVCiEqzYsUKHnjggYByfdo5JPS/HYD85XOxH/wrYJuFCxfSunXroMcohAgNV7E3KbDrwt91COD8/tfR9e452A3e6Uk9Jfms/24Oaz57IcyRCVE1yIrGQohK4XA4uO6661BV1a9cY4ohedgjKFodlh0rKfzjy4B9J02axKWXXhqqUIUQIeCxeJMCp6FqjRFy62MAUK15tN35OkbFSWaPEdSpJ9Mfi9pNWgqEEGdNVVWuueYaDh8+7F+haEga8hARMXVw5hwk57uXAva9/fbbefzxx0MTqBAiZJQSb599t6lqjCk4ymP0tlwYCvdgVJwA5B7cGc6QhKgSJCkQQpy1lStX8tVXXwWUp/a/BVOTDngcNrIWTkN1lPjVjxs3jrfeegtFUUIVqhAiRCJs3tl9lMiqlRQoRm9LQYJ1j6+sOHtfuMIRosqQpEAIcdamTJkSUGZq2glDh2EA5H3/Gs7jfnS7desmA4uFqMH0jnwANFFJ4Q3kOBpTHAD13GUtm67cA2GKRoiqQ5ICIcQZU1WVxx57jKVLl/qVR8SlkjjkIQAK139D8V/L/OoTEhJYuHBhiKIUQoSD0VUAgD66aiUFEZFxAOiUsimRlcJDYYpGiKpDBhoLIc6Iqqo8+OCDAVf7FZ2R5OGPoTWasR/6m7yf3/Wr12g0/Pzzz6SkpIQyXCFEiJnd3qTAGJsc5kj86aICuzPpLUfCEIkQVYu0FAghzsjixYvL7f5T54qH0Cc3xlWcS9bCZ8Dj8qt/5513aN++fajCFEKESYynEICo+Kp1AcAYHTgbktmeEYZIhKhaJCkQQpw2m83GLbfcElAe0/0ajM27obpdZH35DO5i/xVDhwwZwujRo0MVphAiTBx2G2bFO7FATHydMEfjzxQd2FKQ4M4KQyRCVC1VPik4dOgQN954I4mJiZhMJtq1a8e6det89aqq8sQTT5CWlobJZKJ///7s3ClTiwkRTP/5z3/IyPC/smZq1pm4i24EIPf7N3Ac/tuv3mw2884774QsRiFE+BTmeL8f3KpCdFzVGlMQFZsYUJZIAXabNQzRCFF1VOmkIC8vj549e6LT6Vi8eDHbtm3jxRdfJD6+rOnvueee45VXXuHNN99kzZo1REVFMXDgQGw2WxgjF6LmeuWVV/j888/9yiIS6pM05CEURUPRhkUUb/4+YL8HHniAOnWq1hVDIURwFOVnAlCoRKPRasMcjT9zbPlTpGYf3lNuuRC1RZUeaPzss8/SoEED5syZ4ytr0qRsxUFVVXnppZd47LHHGDp0KADvv/8+KSkpLFy4kJEjR4Y8ZiFqsuXLl3Pffff5lSn6SOoM/y8aQxS2A1uxr54fsJ/BYOCee+4JVZiiirjgggtOeQ2KDRs2BDkaEUrWvNKkQBND1VrPGHR6A1bVQKRiB6CQKGKwkJ++j3pN24Y5OiHCp0onBV9//TUDBw7k6quvZvny5dSrV4//+7//47bbbgNgz549pKen079/f98+sbGxdO3alVWrVlWYFNjtdux2u+9xYWFhcF+IEDVAdna2L/kuo5A05CF0iQ1wFWaRtXAaHmvg39P06dNJSqpaXQhE8A0bNizcIYgwsRd6kwKrNjbMkZSvWIkiEjtOVcsBQzPaOjZTIguYiVquSicF//77L7NmzeKBBx7g0UcfZe3atdx7773o9XpGjRpFeno6QMDUhikpKb668kybNo1JkyYFNXYhahKn08kll1xCQUGBX3ncRTcQ2bwLHqedrC+m4LEWBOw7depUxo0bF6JIRVXy5JNPhjsEESbO4hwAbLqqmRRYNWbw5JKjxGM11QXHZpx5soCZqN2qdFLg8Xjo1KkTzzzzDOBtit66dStvvvkmo0aNOuPjTpw4kQceeMD3uLCwkAYNGpx1vELUVPPnz2fTpk1+ZZEtexLbw9sal7vkVRwZuwP2+/TTT7n66qtDEaIQogrxWLIBcBqqWuchrxKtGTxQEJGIK7ouFIBGFjATtVyVHmiclpZGmzZt/Mpat27N/v37AUhNTQUImAUlIyPDV1ceg8FATEyM300IUb6srCzuvPNOvzJdUiMSLxsHQOHaL3HsXBmw3xVXXCEJgfBxu9288MILdOnShdTUVBISEvxuomZRSvIAcBsDZ/qpChwR0QBYDcloYusDYLBW3MNAiNqgSicFPXv2ZMeOHX5l//zzD40aNQK8g45TU1P56aeffPWFhYWsWbOG7t27hzRWIWqiXbt20axZM7/ZvDRGM8kjHkejN1GydyN5v8zB6XT67ZeQkMDs2bNDHa6owiZNmsSMGTO49tprKSgo4IEHHmD48OFoNBqeeuqpcIcnKpnW5l2jRImsmi0FTp03KXCY6mCIrwtApDP3RLsIUeNV6aTg/vvvZ/Xq1TzzzDPs2rWL+fPn8/bbbzN27FgAFEVh3LhxTJkyha+//potW7Zw0003UbduXRngJsRZysrK4sILL6SoqKisUNGQNHQCurhUnPnpZH/1HKgev/00Gg2//PKLTD8q/MybN4/Zs2fz4IMPEhERwXXXXcc777zDE088werVq8Mdnqhkeru3pUBjrpoTDDjjmnrv1GmDKc47LjHalRfGiIQIvyo9pqBz5858+eWXTJw4kcmTJ9OkSRNeeuklbrjhBt8248ePx2KxcPvtt5Ofn8+FF17IkiVLMBqNYYxciOpNVVWuvPLKgK55cX1uxtT4AjwOG1kLnsZjKwrY95133uG8884LVaiimkhPT6ddu3aAdyG7o4PWL7/8ch5//PFwhiaCwOTy/v/qq2hS0OH6SWz/sz8dO1xM5iHv+gTxaj6qx4OiqdLXS4UImiqdFID3B+Pyyy+vsF5RFCZPnszkyZNDGJUQNdv111/PypX+4wSi2vQhtstwAHK+m4mznOn7brzxRkaPHh2SGEX1Ur9+fY4cOULDhg1p1qwZ33//PR06dGDt2rUYDIZwhycqkcvpINXlHbQblVQ/zNGUz2CMpHXXgQDEJ3u7DxkVJ8XFBZhjqmaXJyGCTdJhIYSPqqrceuutfPzxx37l+pRmJFzqXXys4PePse4IHFjcsGFDGUcgKnTllVf6xn/dc889PP7447Ro0YKbbrqJW265JczRicr09x9LicFCHjE0bdcj3OGclCkqGovq7V2QnykzEInaq8q3FAghQuett97i3Xff9SvTRMaSPPy/aHQGrLv+IP/XeeXu+80330i3PVGh6dOn++5fe+21NGzYkFWrVtGiRQuGDBkSxshEZSv+82sAdsX1pHNE9TjNyNfEEqXaKM49Apwb7nCECAtpKRBCAJCbm+u3fgcAGi3JQx8hIqYOzpyDZH/zAqAG7HvttdfKOAJxWrp3784DDzxw2gnBtGnT6Ny5M9HR0dSpU4dhw4YFzFInwkf1eGiYtQyAiDYVd/2taoq03mlxrXkyLamovapHCi+ECKrc3FzatGlDSUmJX3n8xbdgbNgOj91K5hdTUB3WgH3PP//8gNYFIY73/vvvn7D+pptuOqXjLF++nLFjx9K5c2dcLhePPvooAwYMYNu2bURFRVVGqOIMqR4PW5Z/wXlqJjZVR8se1acFqEQfDy5wFmacfGMhaihJCoSo5bKysujQoUPATENRbS8mptNQALK/nYEr92DAvl26dGHlypVEVJMuAiJ87rvvPr/HTqcTq9WKXq8nMjLylJOCJUuW+D2eO3cuderUYf369fTq1avS4hWnx+N288+0npzn2g7A31GdON8cG+aoTp3DmARW8BRlhjsUIcJGfsmFqOVGjx7NwYP+J/z6lGYkDLwbgPyVH1GyM3Ae+aZNm/L777+j1WpDEqeo3vLyAueA37lzJ3fddRcPP/zwGR/36NSmFa2KbLfbsdvtvseFhYVn/FyiYpmH99DKtR2PqvBnVA8SrpgS7pBOiycyCXJBY80KdyhChI2MKRCiFluzZg3ffvutX5nGFEPylaUDi3evpeC3+QH7RUZG8t1330lCIM5KixYtmD59ekArwqnyeDyMGzeOnj17cu655Q8OnTZtGrGxsb5bgwYNziZkUYGinCMAZCvxXDD+Oxq16hDmiE6PEpUMgM6WHeZIhAgfSQqEqIVUVeWFF16gR4/jpgtUNCRdMYGI2Do4cw+Ts+hFjh9YrNPp+PXXX2nZsmXoAhY1VkREBIcPHz6jfceOHcvWrVsDptA91sSJEykoKPDdDhw4cKahihOw5nqTgiJtXHgDOUO6WO+qxkaHrGosai/pPiRELTR16tRyV5GN7zMaU+P2eOxWsr6cgsdW7FevKAqrVq2iQ4fqdRVQhN/XX3/t91hVVY4cOcJrr71Gz549T/t4d999N4sWLWLFihXUr1/xAlkGg0EWRwsBe4F31h6LrvxuXFWdMTYVALMrN8yRCBE+khQIUcvs2bOHJ554IqA8snUvYrpcCUD2dzNxZu8P2Ob++++nY8eOQY9R1DzDhg3ze6woCsnJyfTt25cXX3zxlI+jqir33HMPX375JcuWLaNJkyaVHKk4E+4ib198uyExzJGcGXNiGgCxnvzwBiJEGElSIEQtc+utt6Kqx3UJSm5M4qB7AShY9Skl/6wK2K99+/Y8/fTTIYlR1Dwej6dSjjN27Fjmz5/PV199RXR0NOnp3ivUsbGxmEymSnkOcfoUi3fWHrcpKcyRnJnYpLref7HgsNvQG2QhRlH7nPKYgscffxyXy1Vh/f79+7nkkksqJSghRHDMmjWLn3/+2a9MY4gi+cpH0eiMlPy7nvxfPwzYr3nz5vz6669ERkaGKlQhyjVr1iwKCgro06cPaWlpvtsnn3wS7tBqtYiS0gG65uTwBnKGYuKTcareiRPys4+EORohwuOUWwree+89Fi1axAcffBAwy8Nbb73Fww8/fEb9QoUQobFmzRruvvvu40oVEoc8hC6+Lq78dO+Kxar/FV2z2czmzZvlKqw4bQErZJ/AjBkzTmm741u5RNVgsOcAoI1OCXMkZ0aj1ZKjxJBMHoXZh6hTT7qlidrnlJOCrVu3cvfdd9OpUyeefPJJJkyYwMGDB7nllltYu3YtL7zwArfffnswYxVCnKH09HQGDBgQ0IUjtudIIpt1xuO0k7VwGh5bUcC+06dPl4RAnJGNGzf6Pd6wYQMul8s3c9U///yDVquVcSo1gNnpnbXHEFs9kwKAQm08ye48LDlnNhuWENXdKScFMTExvP/++4wYMYI77riDTz75hD179tClSxc2b95Mo0aNghmnEOIsTJw4MWDRJlPTTsRdeAMAuUtfx5GxO2C/Nm3aMHr06JDEKGqeX375xXd/xowZREdH89577xEfHw94FzQbPXo0F110UbhCFJUkunSAblRCWngDOQt5UU2h8F9KdvwEfa8JdzhChNxpr1PQrVs32rVrx+bNm/F4PDz22GOSEAhRRamqysSJE5k7d65feURcGolDHgKgcP0iLH/9HLBv69at+f7772UcgagUL774ItOmTfMlBADx8fFMmTLltGYfElWP2+UiXvWuLB2bVC/M0Zy5iHYjAGia8T3uE4yhFKKmOq2k4KOPPqJNmzZ4PB62b9/OXXfdxYABA7j//vux2WzBilEIcQZUVeWOO+5g+vTpfuWKzkDylY+iNZqxHdxG3s/vBOx77bXXsmXLFurVq74/8KJqKSwsJCsrK6A8KyuLoqLAbmui+sjPSUereMd6xCalhjmaM9f6omEUEkUdcvn7j+/DHY4QIXfKScGIESO47bbbeOqpp/jpp59o2bIlzz33HL/88gvfffcd7du3Z9WqwGkMhRDhMXfuXGbPnh1QnnjpPejrNMFdnEf2V9PB439FLDExkXfffRetVhuqUEUtcOWVVzJ69Gi++OILDh48yMGDB1mwYAFjxoxh+PDh4Q5PnIXCHO9sPXlEo9NX34XiDMZI/o7rDUDx+opXyRaipjrlMQXp6els3LiRFi1a+JX36NGDTZs28cgjj9C7d28cDkelBymEOD0lJSXcf//9AeXRHa8gqk0fVLeLrK+m4y72X71To9GwYMECoqKiQhWqqCXefPNNHnroIa6//nqcTicAERERjBkzhueffz7M0YmzcXRgboEmjviTbFvVmTpcAz9/R9OcFeEORYiQO+Wk4Ndff0WjKb9hwWQy8fLLLzNixIhKC0wIcWZUVeXKK6+koKDAr9xQvy3xfccAkPfL/7Af/Ctg3xdffJHevXuHJE5Ru0RGRvLGG2/w/PPPs3u3d1B7s2bNJAGtAWz53gXkLBHVPSWAeq26wM+QTB5Oh71at3wIcbpOOSmoKCE4Vq9evc4qGCHE2fvtt99YunSpX5k2Kp7UEf8FjRbLX8soWv91wH7Dhg1j3LhxIYpS1FZRUVGcd9554Q5DVCJXkXc1Y5shMcyRnL24xFRcqoYIxUNe1mFZr0DUKqecFAghqr7CwkJuvvlm/0KNlqShj4AxBvIPU/zL2wH7RUdH8/HH0odWVK7hw4czd+5cYmJiTjpu4IsvvghRVKKyqcXepMBlrP5JgXcRs1hZxEzUSpIUCFFDbNq0ib59+5KXl+dXHtd7FMYGbfHYLRz59ClclsKAfV955RUMBmkmF5UrNjYWRVF890XNpLVmA+CJSg5zJJVDFjETtZUkBULUAEeOHKFPnz4B4wgiW/Yktov3Cm32ty/hygv8kZsxY0Zg64IQlWDOnDnl3hc1i97unbBAU0OSAosuEdz/Yi9ID3coQoSUJAVCVHMOh4P+/fsHJAQRCfVIHHQfAAVrFlCyM3DK4CVLljBw4MCQxClqt5KSElRV9S2Gt2/fPr788kvatGnDgAEDwhydOBtGl7f1URdd/bsPAdgNiWADd2FGuEMRIqROe0VjIUTVMnbsWLZt2+ZXpuiMJF/5KBpDJLb9W8hf/l7AfqNGjZKEQITM0KFDef/99wHIz8+nS5cuvPjiiwwdOpRZs2aFOTpxNkxub1JgiK4ZLQWuyCQAFEsWqseD02EPc0RChIYkBUJUY9999x3vvBO4InHipXejT2qEqziXrK+fBdXjVx8TE8OLL74YqjCFYMOGDVx00UUAfP7556SmprJv3z7ef/99XnnllTBHJ86G2eNdkdoUmxTmSCqHYq4DgK4ki83PDSDvmVZYiwtOspcQ1Z8kBUJUU7t27Sp3bRDzBYO9C5R53OR+8zweS37ANk888QSJiTWjqV9UD1arlejoaAC+//57hg8fjkajoVu3buzbty/M0YkzpXo8xKjFAETF1YykICImFYDokoO0t62lDrkc+TdwXRchahpJCoSoph5//HFsNptfmb5uSxL63Qp4Fygr2b8lYL+4uDjuuOOOkMQoxFHNmzdn4cKFHDhwgKVLl/rGEWRmZhITExPm6MSZKi7KR6e4AYiJrxPmaCqHMc6bFDRz7vSV2YryKtpciBpDkgIhqqFDhw7x2Wef+ZVpTDEkD30ERavD8vdvFK37KmA/jUbD3LlzMZvNoQpVCMDbOvXQQw/RuHFjunTpQvfu3QFvq8EFF1wQ5ujEmSrKywLApuowRUWHOZrKEZVYFwCtovrKHBZJCkTNJ0mBENXMu+++S7NmzXC73WWFioakKx4mIiYZZ84Bcha/HLBfQkICS5cuZejQoSGMVgivq666iv3797Nu3Tq/Fbf79evHzJkzwxiZOBvWAm9SUKjUjIQAIDapbkCZU5ICUQvIlKRCVBPFxcUMHTqUn3/+OaAu7sLrMTW+AI/DRtbCaaiOEr/65s2bs2PHDjQauQ4gwic1NZXi4mJ++OEHevXqhclkonPnzr4FzkT1U1KQA4BFU3OSgrjEVFyqhgilbIIGT0l++AISIkTkDEGIasBut3PppZeWmxCYWnQjtsdIAHKWvIIze79fvdlsZvny5ZIQiLDKycmhX79+nHPOOVx22WUcOXIEgDFjxvDggw+GOTpxphxF3paCkoiaMy5Eo9WSp/ivwK2WyOxDouaTswQhqoG3336blStXBpTr6jQl6fKHAChc9zXW7SsCtvnqq6+oWzewOVyIULr//vvR6XTs37/ft4AZwLXXXsuSJUvCGJk4Gy6LdzVjew1KCgAKtfF+jxW7JAWi5pPuQ0JUA+Ut7mSISSD12kmgN1KyZwN5PweuV3D99dfTt2/fUIQoxAl9//33LF26lPr16/uVt2jRQqYkrcY8Vm9S4DTEhTeQSmbRJYL7X99jrb0wjNEIERrSUiBEFZeXl8f27dsDymP6j4XIeDSWbLK+ClygDGDChAmhCFGIk7JYLH4tBEfl5uZiMBjCEJGoDEppX3tPDUsK7Ab/dVwinJIUiJpPkgIhqrCMjAw6dOgQUB7daSiRLbqiuhwc/HQSKfGBg/yaNWvGueeeG4owhTipiy66iPfff9/3WFEUPB4Pzz33HBdffHEYIxNnQ2vzzsqjmuJPsmX14o5vBsA+TQMA9K7icIYjREhI9yEhqqisrCy6du0a0LVCn3YO8X1uBiD3p9k4M/eQXs7+999/vwwuFlXG888/T9++fVm3bh0Oh4Px48fz119/kZubW+54GVE96JzevvaayIQwR1K5zrtqAhtWtkbBQ6NV92J0S1Igaj45YxCiirr33nsDEgLFEEXyFeN9C5QVb1pc7r6jRo3irrvuCkWYQpyU0+nk3nvv5ZtvvuHCCy9k6NChWCwWhg8fzsaNG2nWrFm4QxRnyFCaFOiiE0+yZfUSaY6lw8D/EJnobSkwecqSgm2rl7Drz9/CFZoQQSMtBUJUQd9//z0ff/xxQHnioHuJiEvFmZ9OzuJXAuobNmzIk08+yc033yytBKLK0Ol0bN68mfj4eP773/+GOxxRiSLdRQDoa1hScJQpxtsCYlYtAOzbvp42S64FQG2XhyLfs6IGkU+zEFXMkiVLGDRoUEC5+YLBRLXsiep2kv3Vs6gOq1/9lClT2Lt3L7fccoskBKLKufHGG3n33XfDHYaoZFEeb1JgikkOcyTBERnjTXbMqhWP283h3z7w1ZVYi8IVlhBBIS0FQlQhv//+O0OGDMHj8Z9JSFenKQl9bwUgb9kcHOk7/eoVReG6666TlWFFleVyufjf//7Hjz/+SMeOHYmKivKrnzFjRpgiE2dK9XiIVYtAgai4pHCHExTmWG9LgUZRKSzKp076cl9dUX42kebYinYVotqpVpcTp0+fjqIojBs3zldms9kYO3YsiYmJmM1mRowYQUZGRviCFOIMeTweRo0ahcvl8itX9CaShz6CEqHDunM1lg2LAva97LLLaNq0aahCFeK0bd26lQ4dOhAdHc0///zDxo0bfbdNmzaFOzxxBizFBegUNwAx8TWzpcBoisKu6gDYt3kFzY5Zu8BamBuusIQIimrTUrB27VreeustzjvvPL/y+++/n2+//ZbPPvuM2NhY7r77boYPHy6zWYhqZ9y4cezatSugPHHgWHQJdXEVZJLz3UsBrQhJSUm89tproQpTiDPyyy+/hDsEUcmK8jIxA3ZVhykycFrkmqJIicJAPs4/5viV24okKRA1S7VoKSguLuaGG25g9uzZxMeXzYVcUFDAu+++y4wZM+jbty8dO3Zkzpw5/P7776xevTqMEQtx6mw2G5dddhmvvvpqQJ35vAFEtemD6nGT9fVzeGz+0+KlpKSwdu1aGjduHKJohRDCy5KfDUChYq7RA26tGm9Xt3OL/C822ovzwhGOEEFTLf6Kx44dy+DBg+nfv79f+fr163E6nX7lrVq1omHDhqxatarC49ntdgoLC/1uQoTLLbfcwuLFgVOL6pIaEd//DgDyl7+P4/DffvVxcXHs27dPEgIhRFiUFGQCYNGYwxxJcJWUvj694u3amU0cAC6LJAWiZqnyScHHH3/Mhg0bmDZtWkBdeno6er2euLg4v/KUlBTS08tbzslr2rRpxMbG+m4NGjSo7LCFOCUbNmzgo48+CijX6I0kDZ2ARmegZPc6Cv/4ImCbt99+G4PBEIowhRDCRy3twli8Zx0AeaZG4Qwn6OwRZV2j7KqOA5FtAHBb88MUkRDBUaWTggMHDnDfffcxb948jEZjpR134sSJFBQU+G4HDhyotGMLcTpuu+22csvj+9+BPqkhrqIcsr+dAah+9ePHj+fqq68OQYRCCFFmy/IvsE+qw7qv3yTyyBoA7PW6hzmq4HLqypKC/RGNcBq8MxJ5SvLDFJEQwVGlBxqvX7+ezMxMOnTo4Ctzu92sWLGC1157jaVLl+JwOMjPz/drLcjIyCA1NbXC4xoMBrnCKsLK7XYzdOhQNmzYEFAX1bYv5naXoHrcZH/zPJ4S/+5t//d//8ezzz4bqlCFEMJH/+t0jIqTThsmUKyaQIGktheHO6ygculjfPfzYlriMXinIVVsBeEKSYigqNJJQb9+/diyZYtf2ejRo2nVqhUTJkygQYMG6HQ6fvrpJ0aMGAHAjh072L9/P9271+wrF6L6UlWVm2++mW+//TagLiKhPgkD7gKgYOVH2A9s9avv0qULr7/+ekjiFEKI4xUb06B4BwBmpYRCImnStmuYowouj75sLQI19TwovVCjcch4RFGzVOmkIDo6mnPPPdevLCoqisTERF/5mDFjeOCBB0hISCAmJoZ77rmH7t27061bt3CELMRJLV68mA8//DCgXInQkzx0Ahq9iZK9myhY9WnANpIQCCHC6rgFEveY2tE+okqfSpw9Y1lLQWzjDhTs3QhAhCQFooap9n/JM2fORKPRMGLECOx2OwMHDuSNN94Id1hCVGjChAnllsf3vQ19nSa4LXlkL3oBVP/1CF588UU6deoUihCFEKJcOqf/tMglaTW7lQBAY/K2FHhUhfqtO1OcuQcAvasonGEJUemqXVKwbNkyv8dGo5HXX39drqCKKs/lcnH11VezdevWgLrIVhcRfcEgVNVD9jcv4LHk++o0Gg3/+9//GDVqVAijFUKIQHqXf1KQeN6AMEUSOtrIOAAOadJoEBOPLsq7XpJRkgJRw1S7pECI6sjtdjN8+HC++eabgLqIuDQSL70HgIJVn2Lb96df/YwZMyQhEEJUCUaPNylY1fRe9EmN6Xj+RWGOKPgadxjIro1vkt38KhoABrM3KTB5ik+8oxDVjCQFQoTA1KlTy00I0EZ41yMwRGI7sJWC3+b7VaelpXH77beHKEohhDixSI8FgKTzBtCiFiQEAEl1G5H0+Aaalz42xSQCEKVawheUEEFQpdcpEKIm2LBhA5MmTSq3Lr7PLRhSm+O2FpD99fN+4wgMBgMLFy7EZDKFKlQhhDihSLUEAFPp1fLaKKo0KYhWLb6F3ISoCSQpECKIrFYrl112GZ7jfjh0Oh2mFt2J6XQFANnfzsRdnONXv2zZMrp06RLSeIUQoiJulwuz4k0KImNqb1JgjvMmBVpFZeemFfz588dhjkiIyiFJgRBB9Pjjj5ORkRFQ7jHFkzx4HAAFaxZg+3edX/3s2bNlWl0hyrFixQqGDBlC3bp1URSFhQsXhjukWqO4KN93P6oWJwUGYyQO1dv7OvXr62m/4g72/R24EKUQ1Y0kBUIEyYoVK5g5c2ZghaIhachDKIYoXBk7yV/xvl91s2bN+M9//hOiKIWoXiwWC+3bt5cZ58LAWuhtzbSrOgzGyDBHEz6KRkOREgVADN5xBTl7N4czJCEqhQw0FiIIMjMzGTx4MKqqBtTFdrsaY/02eOwW0r+YBh63ry4iIoL//e9/aDSSrwtRnkGDBjFo0KBwh1ErlZS2FBQrkRjCG0rYWZUoEtUC32NHzv4wRiNE5ZCkQIhKZrVa6dq1K8XFgdPV6VNbENvzOgByv5+FuzDTV6fT6Vi8eDG9evUKWaxC1HR2ux273e57XFgoq9CeKXvp+ilWJYrE8IYSdlZtNLiOKSg4ELZYhKgscjlSiErk8XgYPHgwe/fuDahTdAaSLn8QRRuBZfsKLNuW+eq0Wi07duygX79+oQtWiFpg2rRpxMbG+m4NGjQId0jVlsOSB4BNGxXmSMLPHhHt99hQfChMkQhReSQpEKISPfroowGrbh8Vf/EYdIn1cRVlk7vUvz/0K6+8QpMmTUIQoRC1y8SJEykoKPDdDhyQK7pnymnxdpexS1KAU+efFETb08MUiRCVR7oPCVFJNm3axLPPPltuXXTL7kRfcBkAOd/OxGMvW/Smd+/e3HXXXSGJUYjaxmAwYDDU9h7wlcNd4k0KnBHmMEcSfi59jN/jJHfgLHNCVDfSUiBEJcjIyKhwLIAmMpbYS/4PgMK1C7Ht+9NXp9PpWLBgAYqihCROIYQ4U57SpMB13FXy2sijjwVgl7YZAHEUYzlmylYhqiNJCoQ4S9nZ2Zx//vkUFRWVW5946b1oo+JxZO0lb/l7fnVvvPEGiYm1fcieEKeuuLiYTZs2sWnTJgD27NnDpk2b2L9fZn8JOrv3O86tl6TA0LADANlNh1KId3rWrIO7whmSEGdNug8JcRZcLheDBw8mPb38/qTm9gOJbNEV1eUk+5sXwO301d18883ceuutoQpViBph3bp1XHzxxb7HDzzwAACjRo1i7ty5YYqqZju8dwcHNy5FY88HQDXEnHiHWqDDoNHkdbqUrokp7JnyBTGevRSk74HWncIdmhBnTJICIc7C559/zh9//BFQbjAYcEcmEt/3NgDyVryPM2uvr75z5868/fbboQpTiBqjT58+5a7/IYIn89P76GJdRbFqAgUUg7QUAMQnpwFQaEwD615sx3zHC1EdSfchIc7Qpk2buPnmm8utsztdJF3+IBq9Edu+Pylau9BXl5aWxvLly9HpdKEJVAghzkJSyR4AzEoJABpTbDjDqXLskXUB8ORLFzZRvUlSIMQZ+Oqrr+jYsaPfokjHiu1+LYa6LXHbisn+dibgvbKp1+tZvnw5JpMphNEKIcSZcbtc1PFk+ZVpTXHhCaaKUmPrA6ArkrUKRPUmSYEQp+mvv/7immuuwePxlFuvr9uS2B7XApD7/Ru4i7J9de+88w4tWrQISZxCCHG2so7sRa+4/cr0UdJScCxdYiMAzilaxeo3/09mIRLVliQFQpymhx56CIfDEVCu0WhQdEbvqsUaLZa/lmHdvsJXP3z4cG688cZQhiqEEGcl9+DOgDJ9VFzoA6nCGp7fj2ziiMFKt/R5bFn0+sl3EqIKkqRAiNOwcOFClixZUm6dx+Mhvt9t6OLr4irMJOeHWb66888/n/nz58t6BEKIasWS8W9AmdEcF/pAqrDkuo2JfmQ7a5KGAxBxZEOYIxLizEhSIMQpslgsjB49OqA8NTUVAFPzrkS3H4iqesheNBO1dNXi1NRUVq1aJauqCiGqHVfu3oCyyJiE0AdSxRmMkRjbDAIguXhHmKMR4sxIUiDEKZowYQL5+fkB5enp6TRtcz6Jg+4FoPCPL7Ef2OKr//LLLzEajaEKUwghKk1E4QEADit1fGVRMfHhCqdKq9emOwAN3AdlXIGoliQpEOIknE4nN9xwA6+/XnE/0eI2w9BGxuLI+Jf8Xz/wlV9++eV069YtFGEKIUSli7QeBGB/nX4AOFUtpkhZp6A8SakNyCQBjaKyf9uacIcjxGmTpECIE1BVlVtuuYX58+dXuI35/EGYmnVCdTnIXvQiuF0AtG/fng8//DBUoQohRKVLdHhXa4/rMJy1sQNYV+9GFI2cOlTkcGRLAAr+XRfmSIQ4fbKisRAn8PPPP5d7Yt+sWTN2795NREI94vuOASBv+Vyc2fsAuPTSS/n6669lgTIhRLXldNhJVrNBgaQGLWl1/2fhDqnKK0lqB/tXoU3/M9yhCHHaJN0X4gTGjRtXbvnu3btpfk5Lkoc8hEZnpGTvRorWfQNA3bp1+fbbbyUhEEJUa5kH/0WrqNhUHYmpDcIdTrVgatQRgKSiv8MciRCnT5ICIcqhqio33XQTW7durXCb7JTO6FNb4C4pIufblzi6avHrr7+ORprXhRDVXN5h7xoFGdoU6TJ0iuq19o4ha+jeT3FhHgBqBQtdClHVyF+5EMdRVZV77rmHDz74oMJtDPVaE9PtagByl76GuzgHgMsuu4xhw4aFIkwhhAiqon/XApBrbBjmSKqP5LqNOaikolVUdv2xhDWvjSZrcjN2rPs53KEJcVKSFAhxnPfee++EMw0pehOJpasWF2/5CeuOld5yReHll18OVZhCCBFUMQeXAeBo2Cu8gVQzhxK8rQWuPz+jQ9ZX1CGX1EU38u9WmZFIVG2SFAhxjH///Zfbb7/9hNsk9L8dXVwqroIMcn98y1f+/PPP07x582CHKIQQQWcpyqeF/S8A6nUaEuZoqhf9OX0B6FT0EzrFDUAsFpwL7wlnWEKclCQFQpTasWMH5557Lk6ns8JtIs/pgbndJaWrFs9AdVhRFIVXXnmFBx98MITRCiFE5du+Zil/T+3Olg/Go1fcHFJSqN/83HCHVa007XwZblXxPV4b513pOM11MFwhCXFKJCkQAtizZw+dOnWipKSkwm205gQSLr0bgMLVC7Af9F5Fmz17NvfcI1eAhBDVn235S7RybqNb5icAHEzoHuaIqp/YhGR261oA4FEVEvqNAyAGCw67LYyRCXFikhSIWi8vL49u3bpRXFx8gq0UEi8bh9YUgz19F/m/zQO86xXcfPPNIYlTCCGCyW6z0tKy3q9M3/KSMEVTveWkXgjA34ZzadKmMy7Ve7qVn30knGEJcUKSFIhazeFw0L9/fzIzM0+4XXSHwZiadMDjtJO96AXwuNDr9cybNw+tVhuiaIUQInh2rvuRSMVODrFsNZzPHk1jWvaQ8QRnos3wR1mTfBWmYTPRaLXkKzEAFGYfDnNkQlRMVjQWtdpHH33Ehg0bAsp1Op1vbIEusQFxfUYDkL9sDq6cg0RERLBkyRK6du0a0niFECJYircuAeDf2O50uu8jWZvgLMQmJNN17Lu+x0WaOJI8+ZTkZ/D3Hz/gtBXTrteVYYxQiECSFIhabfr06eWWu91ujEYjNoeTxMsfRKMzUPLvOoo2LALgt99+k4RACFGjpGb+CoDmnEskIahkFl0c2KEk9xBNNk3FgIOCcy8kNiE53KEJ4SN/9aJWcjqdjBw5kr//Ln8peo/Hg81mI6HnSAypzb2rFi9+BYCJEydKQiCEqFGyDu+lsWc/blWheTfpMlTZbPpEADxHNmNWStApbrIP7Q5zVEL4k6RA1Doul4thw4bxySefnHA7XZ0mmLt6Vy3O+/Et3MW5DB48mKeffjoUYQohRMjkHNoFQIYmmdjElDBHU/O4jAkAxOVt9ZUVZx/g77U/surdB2VWIlElSFIgap033niD7777LqBcUcrmlUYTQdLgB1C0EVh3/I5l2zIGDBjA119/LQOLhRA1jq0gCwCLNjbMkdRMalQSAI0cu3xl9txDKEv/S/cD77B95cIwRSZEGUkKRK3idrt56qmnyq1TVZWICO8wm7ieI9HXaYLbWkDO96/Tu3dvvvvuOzTSz1YIUQM5irxJQUlEXHgDqaG05joAmBSHr8xdeIQ6Lu9sRI78jBPun5NxkKKC3OAFKASSFIhapKioiA4dOpCXl1fhNi6XC31qC2K6ebsN5X7/BimxkSxZskRaCIQQNZbHkgOAQx8X3kBqKF1MnYCyiPw9xFMIgNta8e+StbgA/RudyH25V9DiEwJk9iFRSxQWFtKlSxd27Nhx4g21OhIH34+i0WLZthzrjpW89cEHGI3G0AQqhBBhoFq8V6FdxvgwR1IzmeICx2mkFJWNL1BLKk4Kco7spYFSQrTnAE6HHZ3eEJQYhZCWAlHjORwOunfvfvKEAIi76Eb0SQ1xF+eR+8ObpKamcs0114QgSiGECB+tzdtSoJoSwhxJzWROSAsoa+g55LuvseVXuK/dWuS7X5iXValxCXGsKp0UTJs2jc6dOxMdHU2dOnUYNmxYwImdzWZj7NixJCYmYjabGTFiBBkZJ+6bJ2oPj8fDsGHD2LZt20m31ddtRUwX72IyOUtfRbUX8/rrr6PX64MdphBCBLBZi9n008eUWIpOvvFZ0tnzAdCUDogVlSs2ue4J6yMcBRXWOUqKffeL87MrLabaJDv9AGs+fZ7iwopbZEQVTwqWL1/O2LFjWb16NT/88ANOp5MBAwZgsVh829x///188803fPbZZyxfvpzDhw8zfPjwMEYtqpLPPvuMxYsXB5Qff6KvROhJumwciqKheMtP2P9dx7x58+SzJIQIm40fTOD8X+/grzdHBf25jM58AHTRkhQEgzk6DodacY9t/QmSAmdJWVJYUihJwZnYveApum6bwtZFr4c7lCqtSo8pWLJkid/juXPnUqdOHdavX0+vXr0oKCjg3XffZf78+fTt2xeAOXPm0Lp1a1avXk23bt3CEbaoQmbOnFlueaNGjcjKyiI/Px+AuIv+gy6xPq6iHPJ+eptff/2VHj16hDBSIYTw1/7wZ6BAp6Kfgv5ckW7vSak+RpKCYFA0GvKUWFLIIYt4EtV8NIrqqze6K24Nch3TUmAvkqTgTJiK9nnv5O8PbyBVXJVuKTheQYH3Syshwdvncf369TidTvr37+/bplWrVjRs2JBVq1ZVeBy73U5hYaHfTdQ88+bNY82aNeXW7dy5E6fTSXJyMoZ6bYjuPBSAnCWvcvnAfpIQCCHCbp++me++3WYN6nNFe7y/g1FxgbPkiMpRpI0DIEtXjzwlxq8u0l3xeYjbXpYUOIpkWtIzEe3IBCCidOyMKF+1SQo8Hg/jxo2jZ8+enHvuuQCkp6ej1+uJi4vz2zYlJYX09PQKjzVt2jRiY2N9twYNGgQzdBEG06dP58YbbzzhNhaLhey8QhKPdhva/D3G3F3MmDEjRFEKIUTFSvRlV+33bF4ZtOfxuN3Eqt4r1dHxqUF7ntrOqvPO7GQ1pZGv9R/QbVaLy9sFAPWYpMBtkaTgTCR6vC0sekc+B3ZtYe/kdvzx5SthjqrqqTZJwdixY9m6dSsff/zxWR9r4sSJFBQU+G4HDhyohAhFVfHZZ58xceLEU9o2rvdN6BLq4irMwrXuU37//XeaNWt28h2FEKIc+//ZxKYfPwIg4+Bu1nw8DUtR/hkdK8Jd4ruf//eKygjPj+rxsPH7Dzm4ewva0q4sMYmBU2eKymE3JALgjGlAsc6/m1a0asXjdpe7n+eYpOBEU5eK8lmK8onBOxY10pnHobVf09izn9i/5oU1LrfLxd7t61A9nrDGcaxqkRTcfffdLFq0iF9++YX69ev7ylNTU3E4HL5+4UdlZGSQmlrx1Q6DwUBMTIzfTdQMhw4dYtSoUxuUZ6jfluiOQ7wP/pjH/l07aN26dRCjE0LUdM5PRnP+b3eyb/t69i14gq5/T2frkndOuM+GF65g+9TuuJwOv3Kdu6zLkCF9XcB+dpuVTT99fMZJx/rF73LB72OxfzIGgGLVhN4ga7IES/RFd7AxsgcN+ozBbkwG8A0+1ihqxSsWO8s+ByeaulSUL+fIXt99s7sAtdDbk6Sec19YT8jXzp9E40/68ceCwLGPh/7dTm7moXL2Cq4qnRSoqsrdd9/Nl19+yc8//0yTJk386jt27IhOp+Onn8oGYe3YsYP9+/fTvXv3UIcrwuzo+JKSkpKTbqvoDCRedh+KosG27Wc2f/+JJIdCiLOiejykubw/5PlHdmIsOQKAp/BIhfs4HXY6FC+ntXMbh/71nzpZ57H57je2bgk4gdn01Suc/+sdbP74yTOK173ndwBauHcBUKiR78BgatWpHxeMX0z95ufiNnsvXGZo6mBVvYuRFednlruf4iibcVFbOnWsOHWFmWWDi+PUAiKs3qTArJSQcXB3uMLyJfpqlv9U+wU5GSS81wvLrP7l7RZUVTopGDt2LB9++CHz588nOjqa9PR00tPTfSd9sbGxjBkzhgceeIBffvmF9evXM3r0aLp37y4zD9VC7733Hn///XdAeePGjalXr55fWVyvUejivd2GHurXxDd4XQghzlRxUT6Rih0AR2E2kaXTfCq2iqebtBwzb3phxj6/OoOn7AJHPEUc3rvdr17N8Z7Q6Av2nlG8sfn+x7NoJSkIFU2s9zcpz1CXIsUMwKGNP7DxucvYu92/VUjjKmsp0J1g6tJwK8zPYePzg1k9b3KF22Qc3E1hfmgH+5Zkl3URNypOoi1ljzN2bwppLMdKsHnj0Dr8B5kf2b0Zk+KggXoYp8Me0piqdFIwa9YsCgoK6NOnD2lpab7bJ5984ttm5syZXH755YwYMYJevXqRmprKF198EcaoRTgsWrSIO++8s9y6vXv3kpWV5RtQbqjflphOVwBQsvwd7hxzc6jCFELUYHkZZVck3ZYcokpnlDn+R/9YlsKyE6SSnOOSAtXm9zg/3b8+wubtbmIoTT5Oh9vloqHzX7+ykoi40z6OODOt+v6HNYlD0fd9BIsmGoCGW17lAutK0n95y29bzTHdh4yuqjtb4l9fTOcCy2902/kiG7//MKA+89AeYmd3JfPVSyocPxEM7nz/bjgNnHt890sObglZHMdyu1ykub0tiBHHfT9Yssr+zgtyQ7sYb5VOClRVLfd28803+7YxGo28/vrr5ObmYrFY+OKLL044nkDUPO+++y5DhgzBfYIvGYfDwYEDB0q7DY0DoOjPpTxw/SDMZnOIIhVC1GRFWWUnH6olh5jSGX0inP5z0JdYitg+tQer3rkfa2FZP/LjT15MqrelIAvvrDUlef71eke+dzvX6V89Prhrs69V4yiHPu60jyPOTGxiCl3veZ9WXS6hJMKbFKTinSHHUHzQb9uIY8aWRJ5gPYNwshTl03r/fN/jFisfYtfTHVjz6ihft7fDf6/BqDhp7t7N1hVf+u3vdNg5ss+/G82xNn7/IZun9ycn42CF21REKfL/u4lSypJtbXbFz3kqVI+HTc8OZP0LQ09rfELGgV3oFRcAepf/zFPOvLKWjKKcirseBkOVTgqEOJklS5Zw6623nvL2cb1vRhefhqswk6ENXDz66KNBjE4IUZsce9IeYcnwnXwYXP4ncrvW/UBr51+cc3AB9mPmndcUHfbdVz0eTHhP2rN03q4mrnz/E4RIp7frkfkEc9xX1FUja+fagDKXMb7C44jgcehi/R7H2P3/n4+dhepEU5eG05avXyGOYg4qaeyIaIVZKaG5ezddcxaSedh7Zd6eXXYFXF3zpt/+m17/D2lzurBz06++sj3b1rL1t69xu1zU+/1xzrOtZeeP/zvt2AwlFV9tj7OcfExBUUFuhYP5s47s4/yS1XQsXkbGIf+WN5fTwb4dm8pNFnL2l40fMrj9/0+VgrLEx5InLQVCnJKdO3cyfPjwU97e0KAdMaWzDY1s5uF/b7+BoijBCk8IUcu4CspO5qItZSdARlcRuZmHWPPqKHZu+hXLYe/Ypxi1GIelbEyBsaRsfR27vYQIxXsyURzV0FtY5L/+ztFk4GiLxPG2rPgS88xmrHrvv4GxHtwIwB5NI1+ZapKxVeHg1PmP5Uh2+58I6o9pKYhRi0La9eZUpez+HIDDbW8n9a6vWXvBNDLxfp6y93uvxnuOWU24vW0tB3aVdd1JKN4JQN6ejb4y06fXce6P/2HdG6Opgzd51mQHjhs8GbPdO4DbpQae8tZz7j/h+2kpyscx83yyZl6E2+UKqC/MLrsQkP73H351a99/lEYf9eaP10f7lXvcbqxHylooIj3+SYHeUvY9Yi/MqjC2YJCkQFRLHo+HK6+8MmCmIY2m/I+0ojeReNl9ADR2H+SFB8cEPUYhRC1TVHYyl+oq6wIQ6bHwz0/v0TVnIdalk1FyvCdAOsWNI6fsRCnaXjb7jM1SdqLvjvfOvBdh9Z+dJkb1JgUmxUGJJTAxKN69Go2iYszY4CtLP7CLVf8bT0qWd+ahjGZX+eo0UUkBxxDB5zmuhSYGKwV52b7H+mNmodIqKsVnOAVtMMV7vC1SKW17E5uYQueh/0e6sSkAliP/AKAv9p5Ae1TvxbiDv5aNOzCVnhh7ir2v2+mwk4r3hLhr7te+7WKLTn+2oHi395gHtA19ZekkYVd1RCp2tixfUOGA3kM7N5FIAY09+9n2+zcB9dbcskS9ZP8Gv7r4dO+Cg11zFrLm42kArHl9DEVPN8C09wffdlHHtf6Y7WXfI64iSQqEOKGcnBzGjBnDX3/9FVDXtGlTdDpdQHl831vRxaWCJZcvnrgpFGEKIWqQvKwjrP3qjXJPHqzFBdisxURYy37M4yj7oY9Si1FLr/LXK/mHyKKygY5KXtn9BE/ZiaDN6j3Jt6s6IuK86/MY7WUnCCWWIr8xAeUNSFRKF7oyOsvGHOxb+DTd979FE4+3JSPp3H4cUOoCoIuWpCAsjHEBRdkHd/nuHzsLFUBxfvbxm5+WVe8+SPpTzck6vPesjnOUx+0mWvVOmxoVW/YZKjF7T8LdpbNkRZW2hO2J8Ca52oKyhNhcur9q9SYXBbnlT89a9wRrC5TXxcdus5KI9/OfHX2OrzxfV4cDEd742q+4jX9euKTcYxYdKft/sK3/KPD4BWVJgTHH/5zEoY303b9g+/PkZh6iddZ3xGLhPNt6X535uIXrEtxlf+ceS2hnapKkQFQrW7dupV27dsydO7fc+l27dhETE+ObaQjA1LwL0e0HoqoenhnamoRoU4iiFUIEy+uvv07jxo0xGo107dqVP/744+Q7nYW/v5lB540TyXmmDX98+YqvvMRSRMELHTnyQg9MtvJPZKKVEt9V/iTyaWIr6wJhLC5rUYij2HfF327xtgJYFSPGeO+YArOz7AShIMe/K1FxOUmB1u5NCkzHjDkwWr1dE4pUE3/p29O4TWcyOoxjY2QPmne/4mRvgwgCJTJwLEfWlh/ZN7ktqz+aihH/WaisBWd39bjhwW9IJYuDW5af1XGOKi7K962IbY4vSwrUBG9LgaFwLwAJLu9nNDuhAwCRJd4xNB63G7Pq7SKlLfF2EyrK9f98/xNxDk5VS7RSEtB3H2DV3EeIerER62aM8Ft7IOeIN/GwqTrc8S185VZ9Eva+T7PZ2AmA1vbN5ba2ObLLkvY2+cspsRRhKcpn9Ru38ecvn+EuLPu7S7P+47fvsd2+9IqbHYteIgYrx9MqKpZib+JiK7H4khgAjTXbV35w19agdx2TpEBUG0VFRQwaNIgjR048Gj8nJ4cDB7w/tJrIOBIvvReAhtadXN+/U9DjFEIE1yeffMIDDzzAk08+yYYNG2jfvj0DBw4kM7P8k/LKoIlKJJs4Usmmy5+Ps3uzt/vNv3/+ShpZNPHso6m94v7OUcfMjW5Wjll/wHHYb7vsw94THnuJt6XBjpHoZG9SEOcpG39QfNwAxJIC78nDvr83sGr2OArysn2zE5k9ZSc7ptLBybt6vkDbR1cQodPTacgdXDB+MTFxiafwTojKFhFVlhTYVG9Ld/N/ZtPIc5DE3V9iKp2atlj1XtAqKTj51WOP282qdx9k87IFfuVul4s6pS1STmvlrHlwtOXCpuowmqJ85cYU70l4bMlBHHYbSar3sxfR5EJvucP791pclI+mNKnQlX5mLXnepGC/ph6be79L/C2fcUjrbdHK3LUpIIbEg95FbDsV/kjEOxeTl+U9T8g74v17ytYkoTGXJSzOyDq07TmYduN/II9oNIrKoV2bA46rOaY1I0qx8ddP8/j7rVF0y/yUVsvuAktZgpZKNvnZZcmMwW3xvQaANvvnlfv+AVhKZyHLPrTHrzyiNLHfs/k36n/YkwNTz6vwGJVBkgJRbbz//vscPBg4HZlWq61wn8RB96KNisNQks130+8KZnhCiBCZMWMGt912G6NHj6ZNmza8+eabREZG8r//nf7MJKeq67WPYJ6wjS2GCwDI2rAIgKJdq3zbmBRHhfvXcZY/lWLqcYNKC0oXMHOUeK/u2zVG4ut4Wz7jKMZu815pLDlu9VtHad/jnG+eoPuhOfz9/bsYnUcHIhf7ulyY3d4TQVNsnRO+XhE6+uiyZGyH6XzA26IEEOvKwag4AcjWek9qHcUn7z7018pFdD/wDnErHvcrzzq8B53ivdrsseafZeReR1suji7CdlR8/VYApLiOkHVoNxpFxabqSG3lXVy2jicL1ePBUlD2ekyla27YS8ss2jjOu/gqkus2JjfS2/JgPbTV73lcTgcNS9ceyCSBRArYOf9B7/4Z3laDPH0aupiyz7zHnAKAotFwROcdbJ+/L3DNgkiL9+/2kOLdvtmGqXQsXgaAQXESUeL/f3Fg2xrffaPH+7d6KOViAGLxJgkHFe+0+RbVSB7eQeYlpeuV5Gf4JwUGhzcpKNzjHa+Qb/BfiLWySVIgqo1588rPsvV6PXq9PqDc3H4gkc27oMHDwkeGER0l3YaEqO4cDgfr16+nf//+vjKNRkP//v1ZtWpVwPZ2u53CwkK/25kymqKwNrsMgJjDKwAwZGwI2M6tBs5qdvQk73hH5yo/6ujqqy6b9wTCrjERE5+MvfQKcm6Gt95e4J8UuEpPFOtYvYOYPQUHiSztNqRXXJSUjlGI9XiTgqiElApfpwgtY2lS4FS1lDTo5Vd3dNYdgEK99//MdcyMVTs3rmDV2/cEzN9fvMfbnS7J7X/SmnNwp+++aquchdBspSe0Fo1/UpDa6Bw8qoJZKSF9u/dvM0uTTHK9JnhUBYPiJDfrMNZjVvWOcuUD4Cryfr5t+rJWFHtCSwA0x60tcGj3VoyKE6tqIPvSWQB0yfuWv9f+iCfHe5JtNTfwS4QjYuv67hfFNAPAmeG/wjdAnMN75T/7osns0jYjHv/3LM7ibYlwqt6Lk5a9ZatRR5Z2FYptP8Rvn6zuj/NH3GVsaXUfxaWJVEmR9z0oydrvd7yoo6uiZ3gTIWtCm4AYK5MkBaJacLvdbNlS/sqDJSUlOBwOIiIifGURcWnE9/WuXzDxsra0Tostd18hRPWSnZ2N2+0mJcX/pDYlJYX09PSA7adNm0ZsbKzvdux4ozNRv5P3B76FfRtFBbnUs2zzq7erOrKU0++GY1GNQNkCZi6b9yTeqTGiaDTkKnEAFGR5T/5cx10t9lhyKbEUUdfjbXmIsGYRrZadwBTmZWErsfjWTohJCu4VR3HqGrTqyG5tUzYmXIop7Zxyt3GpGuzGZAA8Vm+i8O/WNaQuvIbuh98ne/ZwbCUW3/b6LO9JZKRix1pc1k3ImlnWH1+xn133oTWfTGftwtdwFHvjKdH6T61qMEaSoXhbN9y7lwGQr09FbzCSrXhP9nMO7cZ2zFodRz+zHov38+0wlE2Ta0jznhDHFZcN/gXI2uU9Ed+va0qbbpeyNm4QAJYVrxNR6G1588Q2IjK+LCkwxpclBWqSN9kw5pUlTODtgpXi8SYndZpdQOyYL8ggEYda1juhkWsvAP8YvLHpSt931eMhsrTbV1KDluzRNPYeU1Vo2vlSuoz7iG7XPYpN6+1u5Sj2JgWufG/Sv790ELS5NImPL/ImQvp67QkmSQpEtTBy5EiKi0+8aIvr6BzCioakyx9EozfRrUkCYy5sEoIIhRBV0cSJEykoKPDdjo43OlP1mrbmoJKGTnGzbcls6pDr1zKQo4nHctzJUXmOXvk/6mBpF4aU/YtYPetO3KUnWs7SGUwKI7wnR9Yc7xiEo7O0HKUpyeHQrj99fbMNtixi1LKTREt+NvnZ3n7WDlVLTKysSVBVGE1RNHt8I13um09sWvNytynBgNsQB4BizaUwPwfz5yOJLh2f0tK1g81vlS3kmWIpu5qel1k2bsWVs9d3X+s489WR0w/souv2aZy/8QmcpYNt7brAz31OaXeXunnexfJKItMAyI3wJvXFmXt8SQVAjGrB5XT4Bth6jlk7I7GJ94S4vnMfLmdZVz3noT8BKIj1ntwb2nun2U2y/IO5dDCzPqkpsYlpvn3MyWUXB6LqnevdvmQPG54fwt7J5/LXym/JOrIXveLCqWqpU68ZyXUbY7xnFVmjfmVHhLdr1NGuWIX1egOQXPq+221WX53JHEtGYmcA9mkbEnvMYGyb1ttS4Cxt/Tm6gGFOdGsAYtVCXE4HDZx7AahzTnDHRUpSIKq8Rx55hM8//7zC+mNbCABiu12NoV4rdLh48drz0WhkgTIhaoqkpCS0Wi0ZGf598TMyMkhNTQ3Y3mAwEBMT43c7W4cSuwPQePtbAOyNaOLrJ1yoTcQaUdYy6TkmYXCoERzBe7X3X73/FeH8GO8JTRPPPrplfET0bu+c6O4Ib7dHq760P/nuFaz+8Cm0xd5WkaODT7X2fPL2/Ok7XpJ9vy9BACgpzKK4dEaXAiUGpYI1XUR4JdevIClQTKhG7+dK4yzm3/U/UIdcMklgfZeXAOiUtxhbiYWiglzqq2UTchTlHLPSdmFZUhzhPIuk4B/v1Xmd4oYs76w7xy/CBmApXXivvur97LljvCfjFpP378WRsx/XMWMbNIpKYV6Wb4CtcszaGfWbn0ceMUQqdv5Z95OvPCqvtNtPqncQblpL74lzPfdhUp3e7jgxdZsTHZdELjGUqHq/9zm1uTfZaKAepoNlBY09B2j1/Q3s/+wRADI1SWhLzzNiE1Oo17QtxaaylgaA5PO93Qrruw9jKcr3mx41yhxL8kW3kEcMGS1G+u3n1EUD4CkpwON2k1DgbXlUS1+LXnGza9MKX/eoek2k+5Coxd577z2effbZE27jOmaVQX1qc2J7XgfAxEuaUi9OxhEIUZPo9Xo6duzITz+VnRR4PB5++uknunfvHpIYIs/zTt2ZgvdqfXZcO9KjvVcbrYYkHPo437aZStlJTZ4SS3qPp1iTOIzCc0b4HTOh1+38EX+5b0BjqsPb7cEd4W0pcJi8yUS3zE/ptmsmXfK/A+CwznuSpXfk4coo68pUVz1+IHIO1tIZi4o00p2yqoqKjmOntjn5mNmrKVtsy64YUfTez4LGVYKrdCB6lr4BFwy8CbeqoFFUigty/Aa7AlhzyxKEqJKyBEF/FklBycGymXrMhd7uPG5D4Ofq6LSkR0XEe1+Tw1zafa3gAG5rnt82RbkZvgG2EeZkX7k2IoLdMV0BKPzTmzSrHg/1bd5uP/HNOgKQlNqQfMxEKB7feiF1GpyDRqul+PpvODziK8wxZWMVklIbUkjZmgIZJKJVVDoXfA94BykfzxFd3+9xo9adyCQBjaJyYPtaSkqTAotqRKPV0uy8HsQ/dYBu1z3qt5+rNJHylOTzxweP08K1kxJVT4OuV2JVDf/f3p2HR1XleQP/3ntrr9SSfYGQACFh3yEgjYDsto7QoMDQzaLSPirSQtNurSDP2zO+M/Y4tMor2G2j9tuCzoyt3WjzPj3YoCiyOYAKsskWIEAISaUqlUqq7nn/uJVakpCQjUqo7+d5eMy9dZdT15uT+7vnnN/Rzv+NNtHZWX0PyI0kVmkLDAqowzp06BAefPDBpjcMknRGpNz1c0iKDgOdNVh8R/92LB0RxcqKFSvw29/+Fm+99RaOHDmChx9+GB6PB4sXL74p5x9w+0zs7vts6EFC1+N2yH21sQbVWSPgN4YfOEoisoVUKE4MmfJjFD72FozO6AeNpMzuGPmzP+Jc6nhtOTigUQ0GBWpC/VYQAHBZtG5H5ppyWMqON7gNAPjdpfCVa0FBpd55o1+VYiBj2d+gPrIHV63ht9k+2QzJoPU/V/yVUH1a17Aaxaw97ErafeIpL4Xr1P6o49WUF0OoKqp9VUiqjkyZ6Ya/phonDn6OgD96wHtTDCXhQbnpwQBWNDAJW94d9+OQaQQCQoJfyEjrrQXuslMLZo2eCxDe6LENnrLLoQG2xrpZsgqmAgAyLmsD/a8Wn0MSXAgICdkFWlAgyTLOG8Ldhl2wwJ6oBRfd8gej58Dbog4pyTIu6HJCy1Vz/gMnlJ6h5UpLdAAAAHJiePsyJEBvMOKiWUvBWv79PlR5tO/kkSz19o2kBgOphOI9GHHq/wAAvh78HLK690ZZMHh3XNRmRq7tHtWeGBRQh3Tu3DmMGjUqqhUAaDz9qHP8YuiTs+E0Snh72Z2QJHYbIroVzZkzB7/+9a+xatUqDB48GAcOHMDWrVvrDT5uT4X3/QI1D+/F1xM2Ysi0xRg6bRHKHzuGUfNXR/WDrrSG+y5X6sPrTfbo2YMTavv426If/kXwQVC2NDwGoCZRe3ixqi6keetP6lQr4LmKgFtLHekzcDxBR2ZzJCEprQtqzOG35NWyGYpRuxd0AW8oKKhtSfLUZrFxlUC5FJ1vX624hJP/NBwl/3sAMhDOq29W3dj7zhrk/elO7Hv/pWaVMdkTHuxbm1lLMjvrbZeSlYOBT/03rj10EJcW7kROb23iMmOy9lCdUFVcb8Czz1USGmBrdkYHBb1Gz4BfyMhVz+HC6aM4+7UWHBQpXWG22kLbuSMeoK8oGU12l3PZtN+jQ6ZhyOkzDO7bngh9FnDUT05gTg0HHeWy9hKgMrkfAEAqPgRfMCiokhvvrSCMWpkH+L6CIgkcMo3AyJna3EpuxQkA6FsdTLKSMaDRY7UFBgXU4Vy6dAnDhw+H1+ut91kgOJufXh89SM/UfSjsw+4CALzy4xFwWuqnKCWiW8fSpUtx5swZ+Hw+7N69G4WFhTe9DMnpXTFg3I9CTfqO5GDuc4uWfUgVEgKOiC4gES0IkQ87VUIPoynY6uCIbkGQ9NqDYMagyfALGfsTxofGJQCAMUMb8JglLiMz+MBXdxAzAEjeaxDBjC5+E4OCzkAkhINcv2KGYtIeIPWBKohqrVtMaMxJMB2oz30NSW6tj/9JReu6Yyk5hLzAyXpdyiyiEvrgG3/5/N4bLpevqhJdAufrrddZr39fpWTloEuPfqFlW7r2UJ0cuAzFF53ms8Z1GY5gFqKEpOgg2ZGUimMGrV/9uS/fh/+I1o3uYkp010EpPXyuclPTmbbSpizHVwm3wzHj1wCAQRPuw3c6bbCvpdvQets7s8ItCW6dEwBgyh4MAEiqOIqaYPeuKtlad9cocp1AqjJjZOhnry66O5aze/1ytDUGBdThPPnkk/VmJpXrRPk1NTXhz0w2JE//GQBg0W25GNsrFUREsaJL0IICl2SFbAmnJw2Ywj/bEsP1lFuKmAU2qc4DTPDtcE7voaj6+fcYsvx9nE0eE/o4MSe6m2QJnChW6nc1kn1lULzaGAjVklLvc+p4dPaIoEBnhs6k3QtG1QtUaznwa7uXVem0gKHGcw3OQHB2XId2b/SorD9TLwAkiEqYfVog6fCcvuFyFR0/FMqsE0mfkNjA1g1LCQ70TYILpirt733toPzA1VMwBI/vTKnfn9+VMxkAkHpsM/LKdgIAEgb9Q9Q29txw6s5qWzc0JbfPcAxd+ZdQS4Yky8h85C84OO53GDh+dr3t0yIGKlcZtN/r9AJtUrZu/tOodmnXtVppvPuQYnFGLZuywzMW+/XheR++0/VBryHjmvwercWggDqUK1euNDhJmaqq9VoHaiVPXwadLRk5TgOemt67vYtIRNQooyOYiUh2QGeJeNtnDQcC9oigIHLSJ1tKdP9l2RAOGBLsiZAVBUr3cFCQWScbycnkcXDrwm9saydB0leXQx/M6CIn8MVJZxA57iSgs0Jv0u4Tg/BCqtGCAqEPDkQPBgUBTykcQhtALFK1N921aUtr1Q5m10sBJFdrg5Az/OdR6S7H7lfvx5Hd/6/Rcl079T8NlzfhxufnsDuS4IJ2b3f1aWNhauc0MJVrXZM8wgSTuf6b9j7TH0alMKKHehpJcMEFKwpGTInapnZ8AQBIEf3/m8ORlIpBE+5tsOuRyZKAEjgBAH6zVu7Mbr1QDisMUgCiSMvOVKM03lKgs0YHUhkRKUf9+nB3KOfC/9vug4wBBgXUwcyYMaPeOIJaka0DtWwjZsKSPxo6GVj3k5Ew6dv/l4aIqDH5Iydjj/NOXBm2AvqIP/qyLfwwrtMbQgOVI7sYJGZEP8AopuhZYgGg/8T5OKrrja+st0c9NLmFGQPvX4cqY/jhrFjWHgANNeUwBzO6GOwMCjoDa3K41UjVmaE3aw+JRuGD7NeCAsmg3R+1D5Di2lnoJBUAkNC1X+ThsMd5J/Y470TF9HXwC+3xr3aMgR0eHHz3f6Gw5L8g/23VdcskVBWBs9psyRek6DE8ZvuNBwWSLOOiTuurnwgtiKmd0yDFexoAUC43nD7YkZyOQ2nhloFj9tHQG4xR21htThRJWlBluc6EcK11NTjXQm3LmyTLuKTTvoPdpXXhinzb3xBjROtKOaxI7xLO1pQ2cSkOmYbj8NTNyMhuOFVtW9M1vQlR+1NVFXfffTe++OKLG97HkNUbieMXAQBW/0N/9O/CNHtEFHtGkwUjH98EADi675Pw+jqZVCokG+yiEj5d+I2gzZ4IrzDALGmTMzUUFJjMVhQ8G047+WX6PKSWfAnzT95FltWmDVANZpssNXVFtvcCLP4K6IUvWI6bNyCbWs6RGhEU6BNgNGv3gllUQQkGBQimKa3NYmOs0DIBeYQJjszodKBS97EYcc8jAICyjy2hdJ21coo+BAB0q/keAb8/lJu/1pkj++F5fxkKa7RZe8+mjkfW5XdDn1udzeuW5kroDpR9F1r2JOQAvgPIFtoEXrUDbRvS7Ye/gH/jf0EnqZB639ngNtfG/zPOHd2OEaN/2Kxy3agyRx/g6lGYssKtdR5jGuA/hszg/AiqvvGWApMt3KpXZOiJfhGtEt37FQL9tjW0W7thUEAxV1lZiXHjxmHfvn03vI9kMGvpR2UF/zAoCz8ubLrPIBHRzWa2h//om+ukIfUoDsB/KTSBEaC9bSyVE9FFaOlD9SYbmjLq4fVRyyKim5LXlgt498CqumBCFQDAmthwelPqWBJTMhEQEhRJAAYLTAnam3MzfNAFgwI5OOakdmIzp7cIgPaWPTEtuiuas1t4/EmlZIVTRAcFtQORzVI1zpw4FOpfDwD7/vwaBux/DkapBj6hx/9kzELePc8Ar4eDAlszgwJ/Ui+g7K+hZZHYHYiYqNvbSOrcrNwCfJm/HLpLB9F/wtwGtxkw7kfAuB81q0zNMWDxy/ju8I8xaNgdoXXV5nTAg1DApRoa//0128ItBRU3IeVoUxgUUEz5fL5mBwQAkDRxCfSJmejiNONXM/sz/SgRdUiWiC4VtuToh/EqnR3wA35DdDcJly4FXWqCQYG58e4HDVHs4fNIyT2By0CSKAt1K3EkMyjoDBSdDiWSAykog2SwwmTRHjBlScAUzOMvB1uSarPYZAQuAJIWcGYmOKJanTJ7hlNaVsoJQCB6VvBIV07siwoKenz1zzBKNThoGoH0+esxKjsPaiAAv5Chk1RUCiMspsYH1dZlzuwDRGTRNab1AsKZTlHdROrcUfOv383pZrAkONB75OSodaotEyiJWGFs/Pc3wRGuH5TM9k852hSOKaCY8fv9mDRpUrMDgoSBk5EwcAokCXjpvkGwmxoegExEFGuOpDS4YEWFMNd7c1s783Hdt4leY/iNq9HSdEtBXaaIFglzujahUm1A4Bdy1CBn6tjKFe1NsmxMgDniXrAFygAAuuBDp2LRtqsNALw6ByRZxjXZCQC4jKSoWXx9TQyA9RcdCP3sdl0LTabX85H/CPVvlxUFpZJ2/MgMWjcqOTd6zENa3rCoZb+9/qRhHZ3OkRW1LJsaHhdRy5rgCI3vcPZo/5SjTWFLAcXM0qVLsXPnzmbtY8jMR9JkrU/kikn5KOxx4wObiIhuNr3BiAtzt0AIFbl1Mqn4M4cBrv+GIXt41PpqSzpqu3u3JCiwJIWDgsQueaG3uQBQLtmQfBOymFDbKDPnAO5TMCZnQ9HpUCX0MEk1cKplgIRQmlJ9gjNqv9qAs0JJBPyXcdnYDZEjWqp1NkCLH+ARJlglrWuZW5iRIHlhvXYEnooyGE0WXD3/PRIAuGCF3R6dLadMl4I0fyk8cvPv08zcPqgWCgxSAJXCiC49+uCrwrXwXfgWkjEBfe98tNnHjDVzcp3sYU0EBZIsY1/GHBjcRRjUf3Sj294MDAooJj788ENs2LChye0kSYIQAgCg2FKQ+qNnIen0mNI3HY9OuDmj8YmIWiOyG0akUfOeQVnJ/RiWUmcW44QMIDhVi6kFQYEzNfxgYk/KCAUEAHDKPhJ8ldJ55P5kHQ58sxMDxs4EAHglM0yogUXSBo3Xpik11pk4rHaCukpDMuAHPLae0Z9HjGM5aR6AgVXa5GXfpk5HYcn76F51BDX/1g/ndVmoGvMkAKBETkXdR1yPIQXwH4NXaf59qtMbcFrJQq56Dm7JCguAodMXN/s4HYktLTp7mM7ceFAA1B8TFEvsPkQ33bFjxzB3bsMDg+qqDQgkvRFps56DLiEJPZNNeGnOYMgyxxEQUefmTKnfvz9yVmNzQtMPFXUlpXfFEX1fHDYMgD0xFcXBGZBL4ETfn77R8sLSTZec3hWDJ84NZQKqQnTqTaNVuz9M9uigQJi1ZV/aEACAoVf0xFcBY/i+8qQOggtWqEJC2h2PICAkJEheOOFGvv8YKs9/DQCoMNbPWlVt1toffPrm36cAUGrOBQBUNjHzb2eRnBkdFOgtLbsuscKWArrpFi1ahKqqqmbsISHlrpUwpPeE06TgrQdHI8HIW5eIbk2mRC0VpV/IMBhMzd5fVhT0fvpzAFr3hAujnsXZY/+Ngvn/BksCUzd3Zj7ZBIQbfmAIzl1gdURn/pGtWntQ4YJfoaT4IQzJin5YFRFBgWzPxPnpG+FzXcXgviNwWumKXPVc6HNL0WcAgCpL/dmFha0LcBWoMd74bMZR38fZE/B81qKWho4owZ4Y6oIFAAZL5/p945MV3TRlZWWYM2cOdu3a1az9nLf/BJb80dDLwBuLR6JrYvMyHBARdSbOLC2/fLlkQ3IDs6neiMhZWIdOWwRMW9QGJaNYq5bNUUGByaJ1H4rMYgMAuuCs1ZIsIyWr/oy+UkRfd4MjA30Kp4aWL/d7ANVH3kGKvxhJcCHfewiQANXepd5xek75KXa/fxHpE1vW/9+UMwI4/yY85qymN+4kSpUkJKjnAQCmThaEMyigm+LixYu47bbbcPr06WbtZ+13Bxyj7wMAvHjvYAzLaTxFGRFRZ5edNwBfFjwJU1oP9v+nKDWyOWq5tuXHZLaGBu0CgNHR+JwBSjCFKQBYU6IHx46ctRzAcux+ZSEKr34Ak1QDANAn1p8PKDUrF6lLNzb3a4QMmjgPB3UG5A28vcXH6Ghc+lTApwUF5joDwDs6BgXU7qqrq1sUEBi7DUDy9McAAEsn5GHGkPpvKYiIbkWj5j0T6yJQB1SjhIMCVUgwBucGkGQZbskaSh1qqTN7dl1KRLcWe0rDf1tFcl7UZGKW1PotDq0lKwoG3XFfmx83lrymNEAbBw6LzRnTsjQXBxpTu6qpqcGECROaHxBkD0D67OchKXpM75+BFZPz26eAREREnURAFw4KvDBGdRPzSOGJsmxJ9QcFRzJYw2MAEtMaDgosmX2ilp2ZPZpV1njlt2rJA1QhwWLtXAONGRRQu1q0aBG++OKLZu1jzO6PtNmrIemNGF+Qin9npiEiIiIEIloKvFL0IHSvEg4K7EmNtxSYgjNtlyEh1NpQV0pu/9DPqpCQmpXb3OLGJdmujY/wwBQVtHUGnau01GmcPn0affr0wTvvvNOs/Yxd+yFt9vOQDSaMy0/F+h8Pg0nPiXaIiIhUfTh1Z1WdoKBKp2XwcQvzdR/0a3XvNwr77JPwXcEj190mPTsPVUIPACiREqE3GK+7LYXpE7UxGpVS50uKwqCA2lRNTQ0ee+wxdO/eHd99912z9jV27Ye0e7WA4PZeKdjwEwYEREREtYQ+/KBZXScoqAnOFeC6gdmFFZ0Ow1f8F0bN+2Wj21xUtK5F13SpLSluXErvNRQBIeGKMTvWRWk2DjSmNhMIBDBhwgR8/vnnzd7XlDsEqTOfgWwwY2CaHq8vGM6AgIiIKJIhIiiok4nIb9CCAo/Sdmkwr1ly0N19Gh5T/Un2qGFdevTDuZ98hty0rk1v3MEwKKA24fV6cdttt+HAgQPN3tfafyKSpz0GSdEhL6EG7z02jQEBERFRHZIh3H0oMhMRAKgGLRjw6pxtdr7qtEGAewd8Sb3b7JjxIDtvQKyL0CIMCqhVvF4v9uzZg3nz5uHixYvN3t9x21w4x/4YADAux4zfLpkOg4692oiIiOqSI4ICf52gQErQ5ibwmRqfo6A5Bt/7FA7uGoDBhdPb7JjUcTEooBa5du0a1qxZg/Xr18Pn8zV7f8loRfK0x2Dt/QMAwJIxOXj6h/2YZYiIiOg6ZFM4w1BkelIA6DXpAXzpuoDM8T9ts/OZzNZbbh4Buj4GBdQs58+fx7p16/DKK6/A7Xa36BimbgORfOfj0DnSIAJ+/GJiLpZO69/0jkRERHFMZ4wMCqKz2ySnd0XywxtudpHoFsKggBpVWVmJI0eO4NNPP8Xrr7/e7IxCkSS9Ec5xi2AfdjcAwF92Ef/0wzwsnDaorYpLRER0y9KZwt2HRER6UqK2wKCgnRUXF+PMmTOwWq2w2Ww4evQoZFnG4MGDkZIS7vdXUlKC8vJypKam4vvvv8eFCxfgdDoxYsQI6PV6CCHw6aefYvfu3SgqKkJSUhLGjh2LMWPGwGQyhc61b98++P1+9O/fH3l5ec0ur8fjQWlpKTZt2oRXX30VRUVFEEK0+jqYe41C4oT7oU8MTupxcCt+++idmHHX+FYfm4iIKB7ozOGWAug7Xx586tgYFLTA+fPn8frrr+PPf/4zzp07h5qaGhiNRtjtduj1elRXV8Pr9cLlcsHj8Vz3OHJwpjtJkhAIBBrcRlEUmM1mqKqKysrKBo/hcDgghEB5eXnUA3xKSgpSU1NRXV0NRVGgqirKysqgqir69OmD++67D5WVlfjkk0/wzTffoLy8vMFztIa5x3A4xsyFMUvLXOB3XUHC4Q+x570NSEtrfMZFIiIiCjNa7KGfhYEtBdS2GBQ009q1a7Fy5coGH+KvXLnSrGOpqtrkNoFAoNG++6qq4tq1aw1+VlJSgpKSkgY/+/zzz1s0n8ANkWSYexXCMXoOjBlaa4VaXQXPV3/Gvy2ZjoXr3ockcUAxERFRcxjN4YnJZCODAmpbt0xQsG7dOrz44osoLi7GoEGD8Morr2DkyJFteo7f/e53WL58eZse81Yh6QwwZveHucdwWArGQGdLBqAFAxX/8xF0J3bgyP5dbB0gIiJqIaMl3H1IYksBtbFbIih49913sWLFCqxfvx6FhYVYu3Ytpk6diqNHj7bZQ6jP58MzzzzTJse6FUgGM/QpOTBm9oK5+zAYu/WHrA9PuR6oLIf7wFa49n2IJKsB33zzDQMCIiKiVjBbwy0FSkQmIqK2cEsEBS+99BKWLFmCxYsXAwDWr1+Pjz76CL///e/x1FNPtck5tmzZUq97kD6tOwAp1BVGCAGoAQgRAFQVIuCHpDdAsSQCag1EIADFmggIFQGvC5BkSIoekk4PSWeAJMnaeiEgm22AJAGqCggB1edBwFsO2WiFYrZDNtkACIhADUTADxHwA2oAksEESVYg/NXBfzUQfp/230ANIMmAUKFWuaFWuQFRpwuTrECSFUBWoFgcUBKSodiSobMlQ7GlQp/cFfrkbOjsqfWukb+iBN7v98N7ch+83+8FAn4UFBTgk08+QXp6epv8fyAiIopXJnMCVCFBlkT0oGOiNtDpg4Lq6mrs378fTz/9dGidLMuYNGkSdu3a1eA+Pp8vasItl8vV5HmOHTtWb13mgn+HpHTuS6jWVEGS5HAw0Az+iquouXIaVWcOwfv9PtSUnAl9ZrFYsGrVr7B8+XIYDIa2LjYREVHckRUFlTDAAh/0JgYF1LY69xMttMG0gUCg3pvo9PT06+bUf+GFF7BmzZpmncdoNNZbF3CXArICQABCaG/+JRmQZS1YkBRA9SPguQZICiSdHgFPGSBJUMx2CDUAEah9m18NQEAxOwBJguqt0FocgseUzTbIZjtElRsBr0t7yw9AknWATg9J1kFSdFCrKwFV1VofFIPWAhH6p4dQA5BkJTRAKbLLT11qTRUCFaUIuK8iUHEVfvdV+EuLUF1yDjVXz0H46mdWSklJwRtvvIG77rorlF2JiIiI2oZHssACH4xWR6yLQreYTh8UtMTTTz+NFStWhJZdLheys7Mb3WfChAn11p1ff3+bl+2mkWTIpgTIBjOEqgIiEOqCJISq/ddffcOHUxQFCxYswKuvvgqLhbmTiYiI2sOp/stw6sJXGN6vMNZFoVtMpw8KUlJSoCgKLl26FLX+0qVLyMjIaHAfo9HY4Jv/xgwZMgRjxoxpvzSeN5tQoXpdUL1Nd526HrvdjrFjx2LKlCmYNWsWunTp0oYFJCIiorpGzl7R9EZELdDp+3cYDAYMGzYM27ZtC61TVRXbtm3D6NGj2/Rcb7zxRtQsxPHGYrGgoKAAjz76KPbv34/y8nJs2bIFy5YtY0BARERE1Il1+pYCAFixYgUWLlyI4cOHY+TIkVi7di08Hk8oG1FbKSgowK5du7B8+XJs2bKlTY/dUel0OkyePBm///3vr9vyQkRERESd2y0RFMyZMwdXrlzBqlWrUFxcjMGDB2Pr1q3tkgYzLy8Pf/nLX3DmzBns3bsXRUVFcLlcOH/+PM6dO4eqqirYbDYEAgHodDokJiaiuroaHo8HbrcblZWVcLlccLvdsNvtyM/Px4ABA1BSUoJvv/02NDi6f//+GDp0KI4fP44vv/wSFy5cCJXhjjvuwNy5c1FRUYEjR46gqKgIbrcbJpMJVqsVgUAARUVFKCsrg6Io8Hg8uHTpkpYy9TqSk5Pxgx/8APfccw+6du2K0tJSGI1GjBkzBqmp9dOPEhEREdGtQxKNPSnGCZfLBYfDgfLyctjt9lgXp0Hnzp1DaWkp0tPTW/TG3uPxoLS0FE6nE263GydOnMDZs2eRkpKCnJwc9O7dux1KTUQdUWeo89pLPH93Ioo/zanzbomWgniQnZ3dZIakxlitVlitWhpSm82GzMzMtioaEREREXVynX6gMRERERERtQ6DAiIiIiKiOMeggIiIiIgozjEoICIiIiKKcwwKiIiIiIjiHIMCIiIiIqI4x5SkQGhSL5fLFeOSEBG1v9q6Lh6nqWF9T0TxpDn1PYMCABUVFQDQqnkAiIg6m4qKCjgcjlgX46ZifU9E8ehG6nvOaAxAVVVcuHABNpsNkiTd8H4ulwvZ2dk4d+4cZ8ZsIV7D1uH1a714vIZCCFRUVCArKwuyHF+9SFta3wPxea+0JV6/1uM1bJ14vH7Nqe/ZUgBAlmV07dq1xfvb7fa4ubnaC69h6/D6tV68XcN4ayGo1dr6Hoi/e6Wt8fq1Hq9h68Tb9bvR+j6+XhEREREREVE9DAqIiIiIiOIcg4JWMBqNWL16NYxGY6yL0mnxGrYOr1/r8RrSjeK90jq8fq3Ha9g6vH6N40BjIiIiIqI4x5YCIiIiIqI4x6CAiIiIiCjOMSggIiIiIopzDAqIiIiIiOIcg4JWWLduHXJzc2EymVBYWIg9e/bEukidwvPPPw9JkqL+9e7dO9bF6tA+/fRT3H333cjKyoIkSfjggw+iPhdCYNWqVcjMzITZbMakSZNw/Pjx2BS2A2rq+i1atKjePTlt2rTYFJY6JNb3Lcc6v3lY37ce6/yWYVDQQu+++y5WrFiB1atX46uvvsKgQYMwdepUXL58OdZF6xT69euHixcvhv7t3Lkz1kXq0DweDwYNGoR169Y1+Pm//uu/4uWXX8b69euxe/duWK1WTJ06FVVVVTe5pB1TU9cPAKZNmxZ1T27atOkmlpA6Mtb3rcc6/8axvm891vktJKhFRo4cKR599NHQciAQEFlZWeKFF16IYak6h9WrV4tBgwbFuhidFgDxpz/9KbSsqqrIyMgQL774YmhdWVmZMBqNYtOmTTEoYcdW9/oJIcTChQvFPffcE5PyUMfH+r51WOe3HOv71mOdf+PYUtAC1dXV2L9/PyZNmhRaJ8syJk2ahF27dsWwZJ3H8ePHkZWVhR49emD+/Pk4e/ZsrIvUaZ06dQrFxcVR96PD4UBhYSHvx2bYvn070tLSUFBQgIcffhhXr16NdZGoA2B93zZY57cN1vdth3V+fQwKWqCkpASBQADp6elR69PT01FcXByjUnUehYWFePPNN7F161a89tprOHXqFMaOHYuKiopYF61Tqr3neD+23LRp0/D2229j27Zt+Jd/+Rfs2LED06dPRyAQiHXRKMZY37ce6/y2w/q+bbDOb5gu1gWg+DN9+vTQzwMHDkRhYSFycnLw3nvv4YEHHohhyShezZ07N/TzgAEDMHDgQPTs2RPbt2/HxIkTY1gyos6PdT51NKzzG8aWghZISUmBoii4dOlS1PpLly4hIyMjRqXqvJxOJ/Lz83HixIlYF6VTqr3neD+2nR49eiAlJYX3JLG+bwes81uO9X37YJ2vYVDQAgaDAcOGDcO2bdtC61RVxbZt2zB69OgYlqxzcrvdOHnyJDIzM2NdlE6pe/fuyMjIiLofXS4Xdu/ezfuxhYqKinD16lXek8T6vh2wzm851vftg3W+ht2HWmjFihVYuHAhhg8fjpEjR2Lt2rXweDxYvHhxrIvW4a1cuRJ33303cnJycOHCBaxevRqKomDevHmxLlqH5Xa7o95gnDp1CgcOHEBSUhK6deuGxx9/HL/61a/Qq1cvdO/eHc899xyysrIwY8aM2BW6A2ns+iUlJWHNmjWYNWsWMjIycPLkSTzxxBPIy8vD1KlTY1hq6ihY37cO6/zmYX3feqzzWyjW6Y86s1deeUV069ZNGAwGMXLkSPHll1/Gukidwpw5c0RmZqYwGAyiS5cuYs6cOeLEiROxLlaH9ve//10AqPdv4cKFQggtTd1zzz0n0tPThdFoFBMnThRHjx6NbaE7kMauX2VlpZgyZYpITU0Ver1e5OTkiCVLloji4uJYF5s6ENb3Lcc6v3lY37ce6/yWkYQQ4uaGIURERERE1JFwTAERERERUZxjUEBEREREFOcYFBARERERxTkGBUREREREcY5BARERERFRnGNQQEREREQU5xgUEBERERHFOQYFRERERERxjkEBUdD27dshSRLKyspicv5t27ahT58+CAQC7X6uw4cPo2vXrvB4PO1+LiKijoh1PlE0BgUUl8aPH4/HH388at1tt92GixcvwuFwxKRMTzzxBJ599lkoitLu5+rbty9GjRqFl156qd3PRUQUa6zzWedT0xgUEAUZDAZkZGRAkqSbfu6dO3fi5MmTmDVr1k075+LFi/Haa6/B7/fftHMSEXUUrPOJojEooLizaNEi7NixA7/5zW8gSRIkScLp06frNSW/+eabcDqd2LJlCwoKCmCxWDB79mxUVlbirbfeQm5uLhITE7Fs2bKo5l+fz4eVK1eiS5cusFqtKCwsxPbt2xst0+bNmzF58mSYTKbQuoMHD2LChAmw2Wyw2+0YNmwY9u3bF/p8586dGDt2LMxmM7Kzs7Fs2bKopmGfz4cnn3wS2dnZMBqNyMvLwxtvvBH6fPLkySgtLcWOHTtaeUWJiDou1vka1vnUFAYFFHd+85vfYPTo0ViyZAkuXryIixcvIjs7u8FtKysr8fLLL2Pz5s3YunUrtm/fjpkzZ+Ljjz/Gxx9/jD/84Q/YsGED/vM//zO0z9KlS7Fr1y5s3rwZhw4dwr333otp06bh+PHj1y3TZ599huHDh0etmz9/Prp27Yq9e/di//79eOqpp6DX6wEAJ0+exLRp0zBr1iwcOnQI7777Lnbu3ImlS5eG9l+wYAE2bdqEl19+GUeOHMGGDRuQkJAQ+txgMGDw4MH47LPPWnQdiYg6A9b5Gtb51CRBFIfGjRsnfvazn0Wt+/vf/y4AiGvXrgkhhNi4caMAIE6cOBHa5qGHHhIWi0VUVFSE1k2dOlU89NBDQgghzpw5IxRFEefPn4869sSJE8XTTz993fI4HA7x9ttvR62z2WzizTffbHD7Bx54QPz0pz+NWvfZZ58JWZaF1+sVR48eFQDE3/72t+ueUwghZs6cKRYtWtToNkREnR3rfA3rfGqMLpYBCVFHZ7FY0LNnz9Byeno6cnNzo96+pKen4/LlywCAr7/+GoFAAPn5+VHH8fl8SE5Ovu55vF5vVDMyAKxYsQIPPvgg/vCHP2DSpEm49957Q2U5ePAgDh06hD/+8Y+h7YUQUFUVp06dwtdffw1FUTBu3LhGv5/ZbEZlZWUTV4GIKD6wzqd4xqCAqBG1Tbe1JElqcJ2qqgAAt9sNRVGwf//+ehklIv+o1JWSkoJr165FrXv++efxj//4j/joo4/w17/+FatXr8bmzZsxc+ZMuN1uPPTQQ1i2bFm9Y3Xr1g0nTpy4oe9XWloa9QeQiCiesc6neMaggOKSwWBol9zQQ4YMQSAQwOXLlzF27Nhm7Xf48OF66/Pz85Gfn4/ly5dj3rx52LhxI2bOnImhQ4fi8OHDyMvLa/B4AwYMgKqq2LFjByZNmnTd837zzTeYPXv2DZeTiKgzYp2vYZ1PjeFAY4pLubm52L17N06fPo2SkpLQW5/Wys/Px/z587FgwQK8//77OHXqFPbs2YMXXngBH3300XX3mzp1Knbu3Bla9nq9WLp0KbZv344zZ87g888/x969e9GnTx8AwJNPPokvvvgCS5cuxYEDB3D8+HF8+OGHoUFnubm5WLhwIe6//3588MEHOHXqFLZv34733nsvdI7Tp0/j/Pnzjf4BISK6FbDOZ51PTWNQQHFp5cqVUBQFffv2RWpqKs6ePdtmx964cSMWLFiAn//85ygoKMCMGTOwd+9edOvW7br7zJ8/H99++y2OHj0KAFAUBVevXsWCBQuQn5+P++67D9OnT8eaNWsAAAMHDsSOHTtw7NgxjB07FkOGDMGqVauQlZUVOuZrr72G2bNn45FHHkHv3r2xZMmSqPR1mzZtwpQpU5CTk9Nm352IqCNinc86n5omCSFErAtBRMAvfvELuFwubNiwod3PVV1djV69euGdd97BmDFj2v18REQUjXU+dTRsKSDqIH75y18iJyenzZq1G3P27Fk888wz/ONARBQjrPOpo2FLARERERFRnGNLARERERFRnGNQQEREREQU5xgUEBERERHFOQYFRERERERxjkEBEREREVGcY1BARERERBTnGBQQEREREcU5BgVERERERHGOQQERERERUZz7/99ccex4U8W+AAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from kf_book.adaptive_internal import plot_track_and_residuals\n", + "\n", + "def show_residual_chart():\n", + " dt = 0.1\n", + " sensor_std = 0.2\n", + " \n", + " # initialize filter\n", + " cvfilter = make_cv_filter(dt, sensor_std)\n", + " initialize_filter(cvfilter)\n", + " pos2, zs2 = generate_data(150, sensor_std)\n", + " xs2 = pos2[:, 0]\n", + " z_xs2 = zs2[:, 0]\n", + "\n", + " cvfilter.Q = Q_discrete_white_noise(dim=2, dt=dt, var=0.02)\n", + " xs, res = [], []\n", + " for z in z_xs2:\n", + " cvfilter.predict()\n", + " cvfilter.update([z])\n", + " xs.append(cvfilter.x[0])\n", + " res.append(cvfilter.y[0])\n", + " \n", + " xs = np.asarray(xs)\n", + " plot_track_and_residuals(dt, xs, z_xs2, res)\n", + "\n", + "show_residual_chart();" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "6a7134a5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from numpy.linalg import inv\n", + "dt = 0.1\n", + "sensor_std = 0.2\n", + "cvfilter= make_cv_filter(dt, sensor_std)\n", + "_, zs2 = generate_data(150, sensor_std)\n", + "\n", + "epss = []\n", + "for z in zs2[:, 0]:\n", + " cvfilter.predict()\n", + " cvfilter.update([z])\n", + " y, S = cvfilter.y, cvfilter.S\n", + " eps = y.T @ inv(S) @ y\n", + " epss.append(eps)\n", + "\n", + "t = np.arange(0, len(epss) * dt, dt)\n", + "plt.plot(t, epss)\n", + "bp.set_labels(title='Epsilon vs time', \n", + " x='time (sec)', y='$\\epsilon$')" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "8cb27ce1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# reinitialize filter\n", + "dt = 0.1\n", + "sensor_std = 0.2\n", + "cvfilter = make_cv_filter(dt, sensor_std)\n", + "_, zs2 = generate_data(180, sensor_std)\n", + "\n", + "Q_scale_factor = 1000.\n", + "eps_max = 4.\n", + "\n", + "xs, epss = [], []\n", + "\n", + "count = 0\n", + "for i, z in zip(t, zs2[:, 0]):\n", + " cvfilter.predict()\n", + " cvfilter.update([z])\n", + " y, S = cvfilter.y, cvfilter.S\n", + " eps = y.T @ inv(S) @ y\n", + " epss.append(eps)\n", + " xs.append(cvfilter.x[0])\n", + "\n", + " if eps > eps_max:\n", + " cvfilter.Q *= Q_scale_factor\n", + " count += 1\n", + " elif count > 0:\n", + " cvfilter.Q /= Q_scale_factor\n", + " count -= 1\n", + "\n", + "bp.plot_measurements(zs2[:,0], dt=dt, label='z', alpha=0.5)\n", + "bp.plot_filter(t, xs, label='filter')\n", + "plt.legend(loc=4)\n", + "bp.set_labels(title='epsilon=4', x='time (sec)', y='$\\epsilon$')" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "6e5f3efe", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from math import sqrt\n", + "\n", + "def zarchan_adaptive_filter(Q_scale_factor, std_scale, \n", + " std_title=False,\n", + " Q_title=False):\n", + " cvfilter = make_cv_filter(dt, std=0.2)\n", + " pos2, zs2 = generate_data(180-30, std=0.2)\n", + " xs2 = pos2[:,0]\n", + " z_xs2 = zs2[:,0]\n", + "\n", + " # reinitialize filter\n", + " initialize_filter(cvfilter)\n", + " cvfilter.R = np.eye(1)*0.2\n", + "\n", + " phi = 0.02\n", + " cvfilter.Q = Q_discrete_white_noise(dim=2, dt=dt, var=phi)\n", + " xs, ys = [], []\n", + " count = 0\n", + " for z in z_xs2:\n", + " cvfilter.predict()\n", + " cvfilter.update([z])\n", + " y = cvfilter.y\n", + " S = cvfilter.S\n", + " std = sqrt(S)\n", + "\n", + " xs.append(cvfilter.x)\n", + " ys.append(y)\n", + "\n", + " if abs(y[0]) > std_scale*std:\n", + " phi += Q_scale_factor\n", + " cvfilter.Q = Q_discrete_white_noise(2, dt, phi)\n", + " count += 1\n", + " elif count > 0:\n", + " phi -= Q_scale_factor\n", + " cvfilter.Q = Q_discrete_white_noise(2, dt, phi)\n", + " count -= 1\n", + "\n", + " xs = np.asarray(xs)\n", + " plt.subplot(121)\n", + " bp.plot_measurements(z_xs2, dt=dt, label='z')\n", + " bp.plot_filter(xs[:, 0], dt=dt, lw=1.5)\n", + " bp.set_labels(x='time (sec)', y='$\\epsilon$')\n", + " plt.legend(loc=2)\n", + " if std_title:\n", + " plt.title(f'position(std={std_scale})')\n", + " elif Q_title:\n", + " plt.title(f'position(Q scale={Q_scale_factor})')\n", + " else:\n", + " plt.title('position')\n", + " \n", + " plt.subplot(122)\n", + " plt.plot(np.arange(0, len(xs)*dt, dt), xs[:, 1], lw=1.5)\n", + " plt.xlabel('time (sec)')\n", + " if std_title:\n", + " plt.title(f'velocity(std={std_scale})')\n", + " elif Q_title:\n", + " plt.title(f'velocity(Q scale={Q_scale_factor})')\n", + " else:\n", + " plt.title('velocity') \n", + " plt.show()\n", + " \n", + "zarchan_adaptive_filter(1000, 2, std_title=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "42af82e4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "zarchan_adaptive_filter(1000, .1, std_title=True)\n", + "zarchan_adaptive_filter(1000, 1, std_title=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "bce8d174", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "zarchan_adaptive_filter(1, 2, Q_title=True)\n", + "zarchan_adaptive_filter(10, 2, Q_title=True)\n", + "zarchan_adaptive_filter(100, 2, Q_title=True)\n", + "zarchan_adaptive_filter(1000, 2, Q_title=True)\n", + "zarchan_adaptive_filter(10000, 2, Q_title=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "457b2e74", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pos2, zs2 = generate_data(70, std=1.2)\n", + "xs2 = pos2[:, 0]\n", + "z_xs2 = zs2[:, 0]\n", + "\n", + "cvfilter = make_cv_filter(dt, std=1.2)\n", + "cvfilter.x.fill(0.)\n", + "cvfilter.Q = Q_discrete_white_noise(dim=2, dt=dt, var=0.02)\n", + "cvfilter.alpha = 1.00\n", + "\n", + "xs, res = [], []\n", + "for z in z_xs2:\n", + " cvfilter.predict()\n", + " cvfilter.update([z])\n", + " xs.append(cvfilter.x[0])\n", + " res.append(cvfilter.y[0])\n", + "xs = np.asarray(xs)\n", + "plt.subplot(221)\n", + "bp.plot_measurements(z_xs2, dt=dt, label='z')\n", + "plt.plot(t[0:100], xs, label='filter')\n", + "plt.legend(loc=2)\n", + "plt.title('Standard Kalman Filter')\n", + "\n", + "cvfilter.x.fill(0.)\n", + "cvfilter.Q = Q_discrete_white_noise(dim=2, dt=dt, var=20.)\n", + "cvfilter.alpha = 1.00\n", + "\n", + "xs, res = [], []\n", + "for z in z_xs2:\n", + " cvfilter.predict()\n", + " cvfilter.update([z])\n", + " xs.append(cvfilter.x[0])\n", + " res.append(cvfilter.y[0])\n", + " \n", + "xs = np.asarray(xs)\n", + "\n", + "plt.subplot(222)\n", + "bp.plot_measurements(z_xs2, dt=dt, label='z')\n", + "plt.plot(t[0:100], xs, label='filter')\n", + "plt.legend(loc=2)\n", + "plt.title('$\\mathbf{Q}=20$')\n", + "\n", + "cvfilter.x.fill(0.)\n", + "cvfilter.Q = Q_discrete_white_noise(dim=2, dt=dt, var=0.02)\n", + "cvfilter.alpha = 1.02\n", + "\n", + "xs, res = [], []\n", + "for z in z_xs2:\n", + " cvfilter.predict()\n", + " cvfilter.update([z])\n", + " xs.append(cvfilter.x[0])\n", + " res.append(cvfilter.y[0])\n", + "xs = np.asarray(xs)\n", + "plt.subplot(223)\n", + "bp.plot_measurements(z_xs2, dt=dt, label='z')\n", + "plt.plot(t[0:100], xs, label='filter')\n", + "plt.legend(loc=2)\n", + "plt.title('Fading Memory ($\\\\alpha$ = 1.02)')\n", + "\n", + "cvfilter.x.fill(0.)\n", + "cvfilter.Q = Q_discrete_white_noise(dim=2, dt=dt, var=0.02)\n", + "cvfilter.alpha = 1.05\n", + "\n", + "xs, res = [], []\n", + "for z in z_xs2:\n", + " cvfilter.predict()\n", + " cvfilter.update([z])\n", + " xs.append(cvfilter.x[0])\n", + " res.append(cvfilter.y[0])\n", + "xs = np.asarray(xs)\n", + "plt.subplot(224)\n", + "bp.plot_measurements(z_xs2, dt=dt, label='z')\n", + "plt.plot(t[0:100], xs, label='filter')\n", + "plt.legend(loc=2)\n", + "plt.title('Fading Memory ($\\\\alpha$ = 1.05)');" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "ca85e9c6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def run_filter_bank(threshold, show_zs=True):\n", + " dt = 0.1\n", + " cvfilter= make_cv_filter(dt, std=0.8)\n", + " cafilter = make_ca_filter(dt, std=0.8)\n", + " pos, zs = generate_data(120, std=0.8)\n", + " z_xs = zs[:, 0]\n", + " xs, res = [], []\n", + "\n", + " for z in z_xs:\n", + " cvfilter.predict()\n", + " cafilter.predict()\n", + " cvfilter.update([z])\n", + " cafilter.update([z])\n", + " \n", + " std = np.sqrt(cvfilter.R[0,0])\n", + " if abs(cvfilter.y[0]) < 2 * std:\n", + " xs.append(cvfilter.x[0])\n", + " else:\n", + " xs.append(cafilter.x[0])\n", + " res.append(cvfilter.y[0])\n", + " xs = np.asarray(xs)\n", + " if show_zs:\n", + " plot_track_and_residuals(dt, xs, z_xs, res)\n", + " else:\n", + " plot_track_and_residuals(dt, xs, None, res)\n", + "\n", + "run_filter_bank(threshold=1.4)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "50cd37e5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def run_filter_bank():\n", + " dt = 0.1\n", + " cvfilter = make_cv_filter(dt, std=0.2)\n", + " cafilter = make_ca_filter(dt, std=0.2)\n", + "\n", + " _, zs = generate_data(120, std=0.2)\n", + " z_xs = zs[:, 0]\n", + " xs, probs = [], []\n", + "\n", + " pv, pa = 0.8, 0.2\n", + " pvsum, pasum = 0., 0.\n", + " \n", + " for z in z_xs:\n", + " cvfilter.predict()\n", + " cafilter.predict()\n", + " cvfilter.update([z])\n", + " cafilter.update([z])\n", + " \n", + " cv_likelihood = cvfilter.likelihood * pv\n", + " ca_likelihood = cafilter.likelihood * pa\n", + " \n", + " pv = (cv_likelihood) / (cv_likelihood + ca_likelihood)\n", + " pa = (ca_likelihood) / (cv_likelihood + ca_likelihood)\n", + " \n", + " x = (pv * cvfilter.x[0]) + (pa*cafilter.x[0])\n", + " xs.append(x)\n", + " probs.append(pv / pa)\n", + "\n", + " xs = np.asarray(xs)\n", + " t = np.arange(0, len(xs) * dt, dt)\n", + " plt.subplot(121)\n", + " plt.plot(t, xs)\n", + " plt.subplot(122)\n", + " plt.plot(t, xs)\n", + " plt.plot(t, z_xs)\n", + " return xs, probs\n", + "\n", + "xs, probs = run_filter_bank()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "e94db8f8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(t[0:len(probs)], probs)\n", + "plt.title('probability ratio p(cv)/p(ca)')\n", + "plt.xlabel('time (sec)');" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "bda54e3f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import kf_book.adaptive_internal as adaptive_internal\n", + "adaptive_internal.plot_markov_chain()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "49dcf62f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import copy\n", + "from scipy.linalg import block_diag\n", + "from filterpy.kalman import IMMEstimator\n", + "from filterpy.common import Saver\n", + "\n", + "N = 600\n", + "dt = 1.\n", + "imm_track = adaptive_internal.turning_target(N)\n", + "\n", + "# create noisy measurements\n", + "zs = np.zeros((N, 2))\n", + "r = 1\n", + "for i in range(N):\n", + " zs[i, 0] = imm_track[i, 0] + randn()*r\n", + " zs[i, 1] = imm_track[i, 2] + randn()*r\n", + "\n", + "ca = KalmanFilter(6, 2)\n", + "dt2 = (dt**2)/2\n", + "F = np.array([[1, dt, dt2],\n", + " [0, 1, dt],\n", + " [0, 0, 1]])\n", + " \n", + "ca.F = block_diag(F, F)\n", + "ca.x = np.array([[2000., 0, 0, 10000, -15, 0]]).T\n", + "ca.P *= 1.e-12\n", + "ca.R *= r**2\n", + "q = np.array([[.05, .125, 1/6],\n", + " [.125, 1/3, .5],\n", + " [1/6, .5, 1]])*1.e-3\n", + "ca.Q = block_diag(q, q)\n", + "ca.H = np.array([[1, 0, 0, 0, 0, 0],\n", + " [0, 0, 0, 1, 0, 0]])\n", + "\n", + "# create identical filter, but with no process error\n", + "cano = copy.deepcopy(ca)\n", + "cano.Q *= 0\n", + "\n", + "filters = [ca, cano]\n", + "\n", + "M = np.array([[0.97, 0.03],\n", + " [0.03, 0.97]])\n", + "mu = np.array([0.5, 0.5])\n", + "bank = IMMEstimator(filters, mu, M)\n", + "\n", + "xs, probs = [], []\n", + "for i, z in enumerate(zs):\n", + " z = np.array([z]).T\n", + " bank.predict()\n", + " bank.update(z)\n", + "\n", + " xs.append(bank.x.copy())\n", + " probs.append(bank.mu.copy())\n", + "\n", + "xs = np.array(xs)\n", + "probs = np.array(probs)\n", + "plt.subplot(121)\n", + "plt.plot(xs[:, 0], xs[:, 3], 'k')\n", + "plt.scatter(zs[:, 0], zs[:, 1], marker='+')\n", + "\n", + "plt.subplot(122)\n", + "plt.plot(probs[:, 0])\n", + "plt.plot(probs[:, 1])\n", + "plt.ylim(-1.5, 1.5)\n", + "plt.title('probability ratio p(cv)/p(ca)');" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "c4be57b7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(xs[390:450, 3], xs[390:450, 0], 'k')\n", + "plt.scatter(zs[390:450, 1], zs[390:450, 0], marker='+', s=100);\n", + "plt.xlabel('Y'); plt.ylabel('X')\n", + "plt.gca().invert_xaxis()\n", + "plt.axis('equal');" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "79a96fa9", + "metadata": {}, + "outputs": [ + { + "ename": "ValueError", + "evalue": "All filters must have the same state dimension", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[28], line 7\u001b[0m\n\u001b[1;32m 2\u001b[0m cv \u001b[38;5;241m=\u001b[39m KalmanFilter(\u001b[38;5;241m2\u001b[39m, \u001b[38;5;241m1\u001b[39m)\n\u001b[1;32m 4\u001b[0m trans \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39marray([[\u001b[38;5;241m0.97\u001b[39m, \u001b[38;5;241m0.03\u001b[39m],\n\u001b[1;32m 5\u001b[0m [\u001b[38;5;241m0.03\u001b[39m, \u001b[38;5;241m0.97\u001b[39m]])\n\u001b[0;32m----> 7\u001b[0m imm \u001b[38;5;241m=\u001b[39m \u001b[43mIMMEstimator\u001b[49m\u001b[43m(\u001b[49m\u001b[43m[\u001b[49m\u001b[43mca\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcv\u001b[49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m0.5\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m0.5\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mtrans\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[0;32m~/miniconda3/envs/data_assim/lib/python3.10/site-packages/filterpy/kalman/IMM.py:142\u001b[0m, in \u001b[0;36mIMMEstimator.__init__\u001b[0;34m(self, filters, mu, M)\u001b[0m\n\u001b[1;32m 140\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m f \u001b[38;5;129;01min\u001b[39;00m filters:\n\u001b[1;32m 141\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m x_shape \u001b[38;5;241m!=\u001b[39m f\u001b[38;5;241m.\u001b[39mx\u001b[38;5;241m.\u001b[39mshape:\n\u001b[0;32m--> 142\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m 143\u001b[0m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mAll filters must have the same state dimension\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[1;32m 145\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mx \u001b[38;5;241m=\u001b[39m zeros(filters[\u001b[38;5;241m0\u001b[39m]\u001b[38;5;241m.\u001b[39mx\u001b[38;5;241m.\u001b[39mshape)\n\u001b[1;32m 146\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mP \u001b[38;5;241m=\u001b[39m zeros(filters[\u001b[38;5;241m0\u001b[39m]\u001b[38;5;241m.\u001b[39mP\u001b[38;5;241m.\u001b[39mshape)\n", + "\u001b[0;31mValueError\u001b[0m: All filters must have the same state dimension" + ] + } + ], + "source": [ + "ca = KalmanFilter(3, 1)\n", + "cv = KalmanFilter(2, 1)\n", + "\n", + "trans = np.array([[0.97, 0.03],\n", + " [0.03, 0.97]])\n", + "\n", + "imm = IMMEstimator([ca, cv], (0.5, 0.5), trans)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "be0cb8fb", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/kalman_and_bayesian_filters/Appendix-E-Ensemble-Kalman-Filters.ipynb b/kalman_and_bayesian_filters/Appendix-E-Ensemble-Kalman-Filters.ipynb new file mode 100644 index 0000000..7670c3a --- /dev/null +++ b/kalman_and_bayesian_filters/Appendix-E-Ensemble-Kalman-Filters.ipynb @@ -0,0 +1,160 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "39e6a2c5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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QFYn5poftBazaPm4Qk9UUVFlmopJh4CJTXJu2z4GFDqosUckarFoeBxY6tGyf0dLb9xMYQRBuDmKwlCAIwiU6vc3DDSJqXY+8qd5wBxzfiEFW51rcnG8g07V4vPMNZqrkdIYKBk4QEUQxbScgp6tkdZmGFeBFMR/dPX7xQ6/Ja/+SpP6X/X8LgiDcyMQOvSAIwiW6WQ44XqtPEi7UsqNIaeG70HYuOpDpYo8FF06DudCnDaamcMdEib3Tq+iKjAxMDmaRJYnNA1k0VeaWkeJF/9ZKTuf2iRL751qsWj5RnLBrQ5nK2kLgercvCYIgXA1R0AuCIFyGm+GA47WISrxQEd0fDmX5LHVc3CBmQyVzxuLm9AK4YfkXbf8532IJuGgrztahPPdODbDYdillNeo9n5GCgaEqVAvGJf3dpqbw4TtGyRsKTcunkksPxZqacsbfq6kyD22/+HRYQRCEN5Io6AVBEC7TjX7A8Wo/SbhQPzu8VmBPDeXJaAqmrvDILcP9tpbTFwOGJtPzImS4aG/8uRZLq5Z/0U8bTE3hoe1D7J1uIEsSSQKDeYNqwbisv3uinOHjuyfO+P3rz8VMw2bV8qh3fQ4tdvj0e6aYGhJFvSAINwZR0AuCINwkLqfto5rTuX+qiiRBOatf8P5nP+65WnaWuy4LLYeMppxx21g5w6rlEyevPdaeozVqXZ/xssliy+F4zeKh7YOX1P5z9mLpUj9tOH0xIEtc8tTXi/1+249oWj6rlocfpUOqFtsuTx+rM34F+fmCIAjXgyjoBUEQbgKXk1pztfet5vQziuijKz1qXRcSyJsqQZyct8A+Xuuxd3oVRZZo2h7ja793seWiV2VqXQ9dgdnlFtNBSM/x6Tk+3bV/9xwfgELWIJc1GBvIMWSqdO2Y+trvOt+u+5V+cnKhhVJWV9BUmXrXZ7RsYvsRQwUdL4pvyHQjQRDenkRBLwiCcIO7nEjHa3Xf9Zad5a5LresyXDAZKZrUuh4kCVlTfV2v+2LL4cWZJnGSIMUJC/UeLx1ZwEhCDr3SY3apxWK9TaNlXdHzIMsSOzdWefctE7z7lgnedcs4OzYOEiFd8WHViy1+0naeQQ4tdlhsuwwVdCpZg0pWv+HSjQRBePsSBb0gCMIN7nJSa67VfddbdtpOAAmMFM0z7vPeHUMYqkJm7dDr1/cvcnS+yeP7TrJab3JoeolOz7mmz0McJxw8VefgqTq/91cvAaAqMhtGK+zeMcHPfvweHrlr8pIf71IXP1ODeT79nimePlbHi2IqWf2GTDcSBOHtSxT0giAIN7j1PvLFlkMho9F1gvOmt1xOws357tu0fb59uNU/1Aq87j7lrE4QhHz92aP812++wr7D88yvtC7+t5g6k6NlKqU8hazOluECdTsgQmIgbxIkUO/6jORVHMena3s0uw4ZBRptmwMn06mw68Io5uR8g5PzDb787Ze5a+sIf/eDd/G/PHIHY9XCBa/lchY/U0N5xsuZ/oFZgFXLFzGWgiDcEKQkSW7quRmdTodSqUS73aZYvHjWsCAIws3o+VNNvvj8LG0noJTR+OF7NnLPpso573s1PfS7J8vsm2mdsWsdA3lDwQtiVCmhVW/yjWcP843vHiMI43M+rqYq7Nw8zG2bhiiVcuTyWWxUHtgxwkQly0LLYd9si1JW5bmTTWQJMrrKaNGgaQWYmoKhySQJ7N5Y5sfu25Smzvghew/N8/lvvsp3D86zutqh3uy+7vfLssT33TPFz37y3fzAfduRJOl193GDiK/vXzzjby1ltYtOu73eU3gFQRDg8mpcUdALgiDc4NYLz3rPo2RqtN2AwbxxwcLTDaJLzso//b62H/HVlxYYyOn92MZ61yOXePz5t1/ha88cwXKD1z2GJEnsmBxi++YR3nHLBD/z6G2UswaPHVqhbQeUshpPHqkB8MDWKk8fbxDFCYYm88zxBpIEY0UTK4ggBk2RkGUJSZJ4aNsg//j924B0V90LI77+8iKnGhZ+lBCHAU/vO8Hi3BLTc43XXdvDd27iP/zD7+Pdt0687rbLLc5PXwSUsxoLLYfBgsHHd0/0ny8xgEoQhGvhcmpc0XIjCIJwg1tvDRkvpTGJOUO96OTXy0l8Ofu+6204chTyle+8ylMvHmdl9fW74OODBT7x4E7uvnUjej5HIilnFMVnZ8jfvanCvpkWc6sOsiSxc7zAsZUew3mDnh8iSRK6LGEHEZsH8wwVTDqOz1zT4eBShxM164w2oIGckWbD2/Dwu3bw6c9+mMBx+YO/eZk/+OZ+Ti61AHjy5VPc+48/z4+89zZ+7e89wraJgf7fcLmDwtZfC0WWeGW+Q8f1OV6z2DVRopTV31Y792LxIgg3DlHQC4Ig3OCuxeTXS2VqClUd/u///gxPvHCcKDqzpaacN/mR997G33l0F+/ZNYmipMX1uT4ROPu6oyjh3qkB7psa4NnpVTp2gKHKBHFCwdQYzBv4YURDCtBVBUNVUGSZII558VQTCYmhgsFiy8GNYgYLOgVTZftIgQf701vz/Ouf/gD/6qfez5e+c5Bf+PxjHJ1bBeDPnniVL+05xM/8wN382qcfYaBg9v/mSy1Is7qCLMNTx+qYqoIsS8RJwgszTTRFxvaii6YLXa0boZAWbUeCcGMRLTeCIAg3getRQJ1dGH7v0Dz/9o+e4kt7DnL6fxkkCd63ews//ZF38KmHb8XUL30v6OypsXdMlNg6lKdh+eydbjC3anO8buEFEVldZcdoHtuPmWlYaIpEECVsHcqR1VVGiiaWF3JgoU3D8nnn5gHu3TLA1FD+vIVtEEZ8/msv8C9/7wlWmq/FZW4YKfNf/z+f4Pt2b7qs52y+5fA/Xpjlbw6sYGgyWwZz3D5RwnJDJAk2VLL91ptVy+ejd41TyemX9Tsu9vvf7EL6Ss8eCIJweUQPvSAIwk3qQruvl9MXfzHrhWHXCZieWeGxZ17lqf0zZ9ynnDf5iQ/t5rZbJslmM1dcQLpBxHStx/75Nl4QnzHAan2yqx1ESKRTbRuWz56jNZqWTyWn867NA+ybbdHoesw2bZa7HiNFgw2VLKWMxsPbh8jqClHCeXeta22bf/RfvslfPrEfP4iA9ODub/zsh/jHH3/XJf0NTdvnySM12k7AybrFUttjtGSwpZqjmNUAztihL2U1Hrll+ILXdbnP441QSK9a/uvOWVyPxYsgvN2JHnpBEISb0KUMOboWhVvb9nns4DIvvDrL1554mWOz9TNuHx8s8NkfuY+/+6HdfOf4Km07YCCnX1UbyaGl7jnbUdYLwNJp950oZ/j47okzFi+GpvDYwWUals9I0WDHSIGeG/L08TqnGhYtO2C0aLJhIHvORceKFTC5bRM/PjTA1//mBZZqLYIw4jO/8XVemV7hN372w+jn+ZvWX5fltsvRlR63TxTYNpxPn0snwNQVHto+BMDe6UZ/4Namao7HDq1cs930y4nZvJ7eyBYwQRAujSjoBUEQbgCXM+H1asy3HP7giSP81hefZmZ25YzbRqoF/unffoD/9ePvxNDV1x1qvdIC8koK0bMXLxPlDB+/axwZWOy6HFzssH++jSxJSAk4YYwqS2Q05XXPmxtEvDLfJk4SyuUCf/uTD/H40wd46ZUTAPz2XzzHodk6X/21v0PW1M64jtNfl9GSyYuzLb728hKbq1mCKOGWsSIfu2ucUjZdmKwfsJUl+gk/1+r1vFEKaVNT+pOET58WLNptBOHNI7/ZFyAIgiCcu+jtuSGOH12z37HQ6PH3/+NX+Re/+ZUzivliOc/9D9zJJz/2HoyBAdy1bPnTC0g3iKh1PfKmetkF5LV6nFJW54FtgzR7PsstD12WKRgqi22XkaJBGEMho73uebP9CC+IuXtThXJWQ1NVPvDQnfybf/hBjLUi9NsvnuSTv/QneH54xu88/XUxNIWsLuP6MX4Yo8gS2bVPD9aZmkIlpxMlXPPXc72QLmW1N72QXk8H+uhd43xk15g4ECsIbzKxQy8IgnADuJrd14ulngRhxG9/5Tl+5Xcfp9Vz+9/P50zGpia5bfsEmwbzLLQcHju4TMFQ+eAdaZF2LXZiL3VH91LSW8pZna1DecZKJt+dXqXtBHSdgCiGnaP5c07RXX9u23bA7eMlFlsu5azKB27dyYO3jvOxf/HHdCyPv37uOD/6r7/In/7Kp9DU1yf1eGHEdN0iq8vkjTRdR1Pkc37ScDmv5+Wk1lxuzOb1dK1awARBuHriUKwgCMJ1crnxgudLhLnSqaVuEPHVZ47yf/w/f8OR0wYu6ZrKjzx6F7ffvpm9J5pMlDPYQUTDCjBVmQe2DTI5kO23h5zrMO7FDu+e67a27dOwfKo5nVJWP+N+C22HPUfrBGFMJaeft9/cDSK+sm+eZ4438MKYuaZNveuhqzLbhvPctbHMD941vhZhee7nKYgTSBI0RSZvqsiew4997s+w1wZm/diju/j9X/gksiz1f3bP0RpPH68zu+owWjDIGiphnHD/1mp/qNTlvDYXu8+NEE0pCMKbS6TcCIIgvMmuNF7wfIkw5ytuz5d6cmKly8/+56/zre8dPeNnPvW+2/ngw7swDANDk5lvuRxa7LDYslEUmc3VLPdvHcQL4n5qyXpxqUgQJdCyffbNts658Djf3z1d77HnaB3HD8nqKtuG8yy2XXpuiB1EvDLXwgkiRosmQwWTyeqZC4rTi9sDC21+5zsngISVroehyiiSTJIkZE2FB7YO8tD2odc9Z2cn1RRNjc7a1F0zcPjkL/1JPwHn0z9wN//2H36QnKFiagqLLYev7JtH0yQWmi4dJySKEz798BS3jZ3/vz0XSiY63+u3e2O5//yKjHdBePsSKTeCIAhvoqs94Hq+RJizf/Z8h02/9NRhfu43vk6j/Vru+s7Nw3z+n/4gD92x8Ywi88BCh4WmzckoxnVCBrI6zxxvsGtDmYyuMF3r8dSxOrWeR73rMZg3qPc8hgom1Xx6373Tq9w7NdCPlzz7775trMDvP3OKhZZDEMXIssTX9ifcM1lh63Cebx9e5uhyj/GSieVFOEFMwVRx/Oh1EZYPbR9i61Cee6cGmFm1QYI4pn+7pkjU137v2ZGRppYOq1rueNR7LmEEkNC0fP7uA5v501/+FD/8K39KFCd8/msvEGkGP/ie2/oRm8NF84y2ncGCztRg7oKv5YXaUs71+i13XJ4+VieIkus+oEoQhLcOUdALgiBcokttg7iaeMHL+dmz+7Rnal2+9NiL/M2zh/v30TWVDz68i0fv3cntW0aA14pMN4g41bCYGszjBiEnGjY9LyBnqJAknKxb/P4zJ6lbHpYbocoSYZTQttPWlJbto8gSsgT1rsdTx+r4YcxATieIYsprhzcfP1KnbnlESYIdxBiqTMvyqfVcJiomXTdEliRiQEoSjq10uWOiiCzBN15ZYv9cC02RCZa69LyIH7t3koe2D7HnaI3FlosXRuRNFVWWKJo64+UMs6s2f/nSAnHCGbvcigRLbYeG5VM0NQ4udjBUmYlKhvffsYn/5//9MX76330FgD/++vfYuWUUgEduGWbnaIFX5tv03JCxsnnVB1LP1WevqTJeFDNSMN/UaEpBEG4uIuVGEAThEsy3HL6+f5GvvrTA1/cvMt9yznvfq0l1uZyfPT315DsvneRXfusvzyjmJ8YH+cxPfpDxTeMsdz2CKB0A5K61lawvHgbyOsWMwT2bKmys5Lh3ywAATxxeod7zyRkKVhASkxAnCaWsynLbo2X7SNAvov0oxvZDnjiS9ps/caSG7YdIJJQzOpYXUcqoeEFEMaPSskO6boQfxpRzGlldwQtjNEXm7k0D2H7Egfk2UpKQ0RWkJOHAfJum7fez6j/98BT3bqkAYLkBOUNhrmExs2oz23QwNJm2HbB3uoEbREQJjBZNBnM6c02bjCYzWjJp2yF7pxt8+L6dvPed2wFw/ZDf/dJTnGpY/MVLCzx/sgnAO7cMXHKyy/rQpfXn/Hyv3/ph4Ye2D1LJ6ledCCQIwtuL2KEXBEG4iMttobmanO6zfzZrKOwcLZz3/hVT5euPvcDvfP3F/vdyGZ0feN9d7NixgSiWyCugKwp/dWCZ5LQd62pOJ2+q1HseqgKLTZdKTqfrBOQyGg3Lw/ICVroRlhvStnyG8ybDRRNJknDDiDBO2FTN0rIDDFWm4yREcYIsgx/GSJJEOaszVAiZbzostz0GchpbqjnsICaMYrYM5nCCiLyhkTci7txY4pbRAk3bp+cFrHQ8Mj2PMIyp5gyk0/7+9WNgSQKHVrocq1vIkkQYxxRNnUOLHe7ZXEGRJZy1T1c2DGRJkoSuFyBLMqWMRjGr0rR9JAn+3ifv49Xji9SaPQ6dXOHL33qZH//w3YyVM9S6HocWOxdttYFLO0dxrtQaQ1VExrsgCJdFFPSCIAgXcSUtNFcTL7j+s+uHY58/2eTwUvd1BeHx+VU+9ot/wqsnX8uUf+COSf7rP/8YB2oO9Z5HydRo9HzmWjauHzFWzrC4Fk/58bvG+4uHlY5H1w+JkgRVkfjwhhKHFjsosoyuJCy4AXGc0HJ8bpso8UPv3IAbxOyfa+EFMTFpH/uxlR6aLBHHYGoy0zWLOyZKaIqMIkvMrzoUTQUvSthQyVDMaPzouzdxvNZlpeMyXDR5/y0jmJpC2w6o9TyWOy4ZXUFXZMbLGWQJDiy0eXGmyZ4jdRbbDqu2TxAlDBc0VrouXhBTzug0bZ/HD9f4obsn+q/DvVNVgijm1KpDzw+RJXj6WINKVsMOIt532xg//2Pv4xf/76+RJAl7vnuQTz64A3Mof8ktMJezCDzXEK0bJZpSEISbgyjoBUEQLmK9DWax5VDIaOfMOj9Xf/3V5nRf6HDsXz59mJ/4tS/RtjwAVFXhoftu4+88ehebRstopsFTx+r0/JBCRmU0NhkrZ7C8kNmmTcPykYH33zrCI7cMY3khAzmNas6g7QacatgM5nQk4NhKj4mSyWDBZOdIkbyhMF7KYGoKU4O5fnJMHMWUMxr75lqosszkQBZFhuWOy4dvHyVOIIgi/vrAMnYQMV5Kd7xfXWhjajJZXUVT5P7z+d2Tq5RMjeyQQtcNyekqAzmDr768yCvzHXpeyGLbwfHSgU3FjEbXC1FlGdWQMVQFTZFw/Jhtp8V/rrfr7Bgp8N+/O0PXCRkq6AzkDPbNtPjIrjE++7HdrNZW+b/+5GniOOE///fv8Jv/7JPUe/4lzQe4mnMU1+K9IwjC24so6AVBEC7C1BQ2VXM8dzIdZFTKaNy9eaBfcF1pROWFnK8g7DkB//r3HufX/nBP/76Vcp6f+MSDyIbBvrkWt55sMl3v4XghmiqzY6TAyYbFYsthtmmz3PUYKRrYa7vId0+W04OepQwFUyNnqCx3XYaKJoos9VtTqnmdqeFcf+Lp6ckxXhAzVs7Q80IcP8QLIWco3Lelmu7gJ1DJ6axaPnFCf0FQzmp852idrUN5NlWz/YXL/VurBGHM5ECWnhcyUkwP4XacgK6josjghxFLHQ9dkfCimI4bUNBVgiid4jpeNqh1fUaLJlNDaYvM6QuvTdUcO0YK5AyVUkYjipN+0V3J6fz6pz/AX3/vGPunVzg53+DbL0zz0O4tl9QCczWDwgRBEC6XKOgFQRAuYj0NZvNgjpKpre1gW9w+nuYCX01E5em/4/Qd/nMVhMQhf+tf/gnffvFk/+e2T43zwffvJpc1ObLcoeuF/MdvHqJk6FTyOj0v4JX5DjtG8wRRQsPyGSka3D5eJrcWS9l2Ao6u9Di83OXuyQpRnFDJ6uyeLPO9E6ucWnWIk4RN1RxtO6CU1ZAl0h5/XTnjE4zljosqy+RzCtWcwXTd4v6tZr+QzeoKhiZzsmEzXjZZXDtcPFY+M9UF0gXA/NpjNq2gX4RPVnPUej5Ny0eVEkgksppCECVIskQ1ZxAnCQfmu5i6zPaRAnuONdhUzXGqYfUXXrs3ltMzBGtZ9q21v239WjVV4XP/r/fzyV/6EwC+/cyr/Jsfv5+Mfmn/6VxPxRG98IIgXG+ioBcEQbiI9d3y9V3lnKH2d3ITuKrWCjj/Dv/ph2OXa01+8w8fZ7HRBUCRJf7Npx+humGMl2ZbHFvp4gQRuiLRcQN0VcFatYiBvKHi+RGmrnDXhjJIkNPTYUlLHRdTV9g9WeaFU032zba4d2qgfw3jpQy7Jkr9QVelrMamao7HDq2ccb33TlX54vOzHFjsoCkyhqYQRDFBBGOl1z6taFg+PTdkutZjutZjaijHlqEs9Z6HrsjUuh5ZI33etg3leOpoHVNXuKOSoZLV6bohx1d6NC2fWs9DVRQGczrFjIqmKGwayFAtGBQzGo8fqmGoMjuG88ys2uydbrBtKM9gwWCh5VDruARxwsHFDkeWe9y5ofS6ovvjD+7kHdtHefHoEvuOLfHN7x3nYw/uvOTX09Bk3rm5wtRFJv4KgiBcDVHQC4IgXMTF2ieuprXiQocn1w9HfuF/7uOXf+vrBGEMwOhAnj/9lU/xnjs3Md9yiOO03aScUVnpBiRxxFzToWSqSBL4UcxK16PlBNw6WiBjpDGJhq4wWsr0Fyr5HSorHZeHdwz1i3BTU7htvMTUUJ6WncYv7j2x+rre/kduGUaR1rKQZRnHDznW88mbCl98YZajKz3ev3OIfbMtZEniPdsHObTUZXbVZqRkstiy6HkhmiLhRRF/9twcJ+s9Gj2fkZLJnRtLlE2dI8td5psOQRyzqZrDC+N0gm0MxYxMztQYLWWw1nrqvTDipfk2PSfgZMNmIK+z1EkjN48sdxnMG/1puEEcU83pZ7w+kiTxL3/yfXz8F/87AP/y9x7now/sQJIkzuVcr+ehpS5TQ/lLei9cypwDQRCEs4mCXhAE4SIuFkN5pRGVcOHDk4Yq8x//5Gn+j9/5Vv/+77lzkj/55U8xVn0tyjJrqBiqxHzLRZLSVhE3CJhv2mQNFUWWWNVVtgzl0DWFvKHw8I4hsprCY4dW+ouRth0wXDSpZPXXFZcNy19Lw3E5stxj98Zyvwd+btXm5bkWR5YtRoomXS9kZtXF9mM2Vkuossz+uRYyECcJI2u9+Y4f0nFD7p7MEEcJMw2LME6QJAlNkei4IWEc0+z5HFnqsqGSZbBgkDMUyhkdJwj56stLzLdsRoomhqZwaKnDibqFpsicqPUI4gRdlpBkCUmGZ4812DSYww8imraPpspsHc7RsuHIUo+W7TO6tphZfw6+711buWfHGM8fWeTFo0t85anDfOKhWy7p9SxnNeZaNifracvW+d4X1+MchiAIbx+ioBcEQbgEF4oSvJqYwfPt/uuKxGd+4+v89l8817/vhx+4ld/+Jx9hrJru9q7vBte7Ppoi0+z5qIrMUEFHU3SyerpAONGwyGgh45UM5toBVlNVKK31ye85Wme545I3VXaOFlhoOeybbZ3Ra75vtkWj65E10kOnL8w0CaKYvScaNHo++xc6zDQsVEVCkWXCKMHUZCZKWXJm2qJk+SFZXeFUw6KY0ah3fQbyGmGc0LR9um5E3lCIElhouewYydO2QwxVptHz2TFc4IHtg+ybadG2A1RFxg0ihvIGO0eL2F7AiYa99omDTCGjUu/6xBIM5gzGiiZPH2+QJAmFjEY1bxDHCX6UkKw9x+v/PrvA/rlP3c9P/dr/AOC3v/LceQv6019PRZbYc6zOquVxbLnHnRvKfPgcA6kud86BIAjC2URBLwiCcIkuFCV49m2X2j5xrt3/OyeK/NivfpGvPPXa1Nef/MF38fC7b+GFmRajay0yth/RtHxWLY+srjE1lGe56zFcMHGCiNExE0lOd40jErwgLcTv31oloyvMtxz2zbRw/JC2HeIEIc8eDzle6zFUMNk+nKfW9XjqWJ1ax6XlBIQxaIpM1wt47mSTes9npGiiSRJNJ0inwJoaXhBh6CodN8DyAtwoQQKCKOF4zSKKY4I4ZqntUe+tMN902DqUp5zV6Tg+cZwwu+qwsZJhrGiSz2h89K5xSlm9P3hpvuUgkRbhs6s2lhcSRQn3Tg1AAook0bDSw7O3jxaRJIlbxgqMlTOMlUyadkC959FzA+IEdm0o9z+dOLvALg6U2TRS4tRym8demGalaTFcef1wqfXXc8/RdFpuvecxWjDQFJn9823ypsrHd0+c8Z642ohLQRAEUdALgiBcY2fv7u7eWKac1c9b3J++w285Hj/yK3/Ks6/OAenh1//t77yX77//FtwgOqPQU9b645fbHhMDGdycTkI6qbWaMyhldFZtj/GSSc+PUCQIopgda5Nn9043ONWwqXVdXplvoyoy7985RMsKUBUJWS4wVDCYb9nMtxx6fsREOUPD8sjpKsOF9KxAJaex2vMhSQvaUkajYKqEcULbDdYy7tP+9y2DeR7aPshsw+bl+TarPY84ga4bsmoH3DlZYv9swEBOp5TRGMwbjKwdEC5l9TOer5mGxf7ZFvMtlyhJCKIEQ5exnICa5bPYdsmoCquWz1+9uswHbxvhb71rsp90c/emMo4foSoywwWDh7YPYWrp/c9VYH/yPbfxG3/+DFGc8GePH+Azn3z3OV//iXKGh7cPMd9yUCSJoYJJkkDT9mieo1AXEZeCIFwtUdALgiBchbN34s/e3T260uO5k6tsqmbJ6ioPbhs85wFJU1NYrHf48P/+hxyZbQBQyOr8k5/4AJs3DOMG0RmF3vqiwQki2l6AV4uZrGYYL5lUcjoPbBvk4GKH2rSHrinsHi1wfLmHqkocWeqiKzJN26dpezh+jKkpWH7ITMOmktNYarsstm2iGLK6ykQlS8vxcYOYkaJBOatTzmicbKxybKVLrefRcnxMVSaONWRVZrxgsHuyTIJE0VTZc7TGzKrN1FCOgbxOvecyUc4yVDBYbDs0ej6OG3H/1iq7JkoM5nV6XkQ1p2OsFdqn9/Q/e2KVMI4pmioFU2OibFIwNTRNYaXrEcYJY+UMlZzGfNNFU2VuHy9y+3iR6brF/rkWmhyiqzLv2jLQb4U5V4GdNRR+8KGd/MafPwPAH3/rFT7zyXf3X39Fgiihf32VnM5EOcNMw6be85CAME6o5PTXFeoXO6MhCIJwMaKgFwRBuELnOsiY0ZT+7q4sSzRtj4WWQxjHdN2Ig4sdPv3wFFODZxb1r5xY4dF/+vssNy0Axqp5vv5vf4yhwdLrCj14Lft+x3CBKE5YbrnkDZWWHZAzNY6t9HjX5gF2TZR4cabJ86daaKrM3ZMVbC/ilfk2MhK1rk9Gl2j0PIIo4UTdYqKSoeOGfO9Ek4Gczkd3j6OrMrIsUc3rOH7EYN7gtrEiL5xqsmr5JEl6mNUOIk6t2mR1FRLwwpjRUoYXT61yvNbDDzt4YcRowUSRZSBBVSQKZrpQefS2UTYP5mhYPnuOpc9tECeQJGiKTN5UuW2swHdPNrGcgLFShmMrPVYtjzhO23Ee2FoFSeKFmVWGCga2H6WDtLyQpu2T1RSeP7mKc9q02n0zrX7az9kFdkwaTer6EhtGyswtt3jqlVm+e3SZuW7AXNNhqe0wmDcYLBg8tH2QqcE8D20foudFHJhvkwC7Jkr9TwHOdjXnMARBEERBLwiCcAXOd5DxkVuG+7u7GV1hqeMSRDFJIjFWMllquTx1tN4vHgFePVnjA5/9PWotG4BbJgf5xr/7MTaNlgH6hZ68tgvcPKsl5NbRIkVTBSTKWZ3xUoaFtsNTx+p87K5xKrk0v32kmO5gr7fu3D5R4KW5FkeWuuSM9D8Hbhiz2HZ5x6YyW6p5uk7Aq/MdgjhmpmEz07DZMVpg52iBUlZj50iBME5o9DxkyaHjBkiJRMFUKZoaCy2HQ4tdpusWbpAQxXB0pUccJxRNjZMNm5WOx0Be596pQTYPpn3p689tKavx7UMrhHHM+3cOc7zW41uHVvCCiIKp4vgRtZ6HG0SMFk2GCibHahbv2zHITMNiqZXm7Pe8ADeI+YsX5/HjhEOLHcpZDVWWqWQ1uqdNv4XXCuyljsO3Dq6kbUxFk3fdsZm55X0A/Je/eJ6H3rWTes9lvulwotbDVFUOzLf5B+/dytRQnh+7d5Km7SMB5ax+0fMUopAXBOFKiIJeEAThCpzvIGOcvBZj2bR9CrqGHyQUTBXbjxgs6Phh3C8eD546s5h/1y3jfOPf/TgDxdeSUE6PjVwfVhTECQtth6Kp0XEDMnqaPjNSMLH8iLmmTaOXTlx9cNsgw0WTlh2grQ1vipOEE/W0vSZJEkZLGcbKGcoZjcPLXaaqeap5A0OV+c7ROluH8v3s+BO1HhIJuqIgyWlWuxNEyLKEAgyWDHKGykTFJGcoHFu2CKKYal5HV2WSJKFt+wQxGEr6s6osccdEgebalNj153al67HccfHCiL85tEy949HzQzKqwqlGRFZXyWoqxbW+/cG8TtPyGSlm+PTDUzx+aIWXZttkdZU7xou8PN8mihNUWeKluTZHl3uMlEx2byi/rhWmYfl850id5081qeZ0ihmND9+3gy89tg+AZ14+yUfecwdeEGMHISudtRadBY8/f26Wf/DerZSy+hmDtQRBEK4HUdALgiBcgfP1Wbth2vO9vqv+4FaX33/mJEstl8GCzkDO6PdRH56p84HPvtZm886d4/z1f/gJynnzjN/Vtn2+dXD5jBaRthOw3HboeSGljMZH75pgse2w0HaYa9osdzxGCgauH7FvtsXuyTL7ZlppH7qh0PMiFlouXhAjSRJLHZd7NlWQJYmBnE7bDcgZKgsthyhOKGTUfnb8cscljBNadkBGVyiYMm0nwA1j1LVYzKGCSiWjU8iojBYNICGrK0iSxGLL4ZSXFuXFrErOVDm1avG7e06R0RV2jhZQFZnFlsOJhkXLDvDC9AxBz00P2EpINO0ACYmBvI6uyRyvWdQ6PsMlg6btMzWUJ7NLwQ9jRorpc6opErIkEUQxqpS2BMVRAmcNilr/BMYJIqp5neWOBwttNlayjA4WWap3OLWwSqOXTpudW3XI6gphlGB5Ad85VmeoYPDencMXPBAtCIJwLYiCXhAE4Qqcr8/6mweWzxgMVMnpfPrhKZ46WscPYyq5NPv9uSNLfOqX/rhfzN+9fYy//g8//rpifr7l8NjBZfZON6jmdUoZnVJWY/98m00DGUZKGbpOwGLbYffGMk8dq6fTVQsGt4+XyBlpBnwl89oiww0ivv7KIk07TZi5dbzE4cUOL8+3eXjHED+8eSOnGlbaG0+CH0U8fnAZQ1NoWB5emNB1QzRFZnbVQlcVxssZHD9OIyeTBFmCpa6HH8U0bJ+eF9B0AhQSOl5EECVoSkzXi6j3fHRFYjgfgpTwynyb2yeK6IrMquVTyKjogUTbCYiStC1otGjS6HlIEty/pcrjR2uEccz2kTyDeZN9sy3GyxkqWb3/6UQ5qxFECS3bp+eFxLFEzlS4c2MJTZbOaLlZ/wRmvJShlNGBFo2ez1DBYMvEIEv1DkEYsbDcolrMY2gKmiLjhRGGqpDRFObaDp//zjSbBrJkDLXfWy8IgnCtydfzwZ988kk++tGPMj4+jiRJfPnLXz7j9iRJ+OVf/mXGxsbIZDI8+uijHD169HpekiAIwjWz3mf9fbePkDeU13a37YC90w3cIAJgajDPj7xzIz909wZ2byzzB08e5cP//L/1i/nbNg/xp5/722RM/YzHX98l9vx013+h5fL8qQbTtR4Ak9Ucg3mDsXKGnhtSyep86PYR7txQYrRkkjPSTxDypoospb33bdfHCyNkKT0Qm9UVFEni1rEimwYy3Ds1wD2bKnxk1xh3biwzu+qw1PZ4ZbHDs8cbHFjscKrRY7Xn0fMCbD+k0fPYUDFRZQlTU9g5msdQZCw3xPYjYsAKEhw/pOWmRfNIQSdOwA/SBUYYJ5xctTm81OVkw6JtBzy0fZAdowUqGZ27NpQZyBoUMwpSAodWugRRTNcLmG3ZbBzI8JE7xnhw2xDbh/M0bZ+FloMXRExUMvS8gJWOy62jBfKmhh/FGJpEOaNxcLGLoclntNyc/gmMpkgMZA3u2limktOZ2jjYv9/C8io/ft8kP3LPBjZUsuiqQsFUmRzI4voRCy2H47Uezx5r8Pknp/uvnSAIwrV0XXfoLcvirrvu4qd/+qf5oR/6odfd/u///b/nN3/zN/m93/s9tmzZwi/90i/xoQ99iFdffRXTNM/xiIIgCDcWU1Mw+m0mr/XTL3dcFloO4+XMGYcd/79/dZRf//xf4ToeAJVKgUceeRePH2tQWej2d/bhtV3isXKGKEk4XutxoOXgjyZMVrJn9MSXshpN22ffbAvLi5hrOrhhzOZqjk3VHH/+wjzfO9HotwhtGcqjyHCqYVEwVOwg3TXfO72KpijkdYU9R1eYb9r0vABJAlWRiGMJL4hoJP5atn2CpqrMNV1mmxZemNDzAnKGhq7I1C2PrhOgKRIbyjlmV238MEJKQJZIc+AliShOaFlemtdu+Rxc7LDhRAbihK4X4DRCJgcyeFHMQtMBYvKmRpLAqhXw0PYqJBJxnHBwsZPGYHY9jtUsFts2ILGxnOET79gAEkwNZlm10laeKE4TaE5viVn/BOYbryyx52gdgM2DWXpeyG1bRvr3O3yyRtHU+f5dY2iqzL6ZFooisW0435+mmyAxWNSZb7o8cXil/54QBEG4Vq5rQf/93//9fP/3f/85b0uShN/4jd/gF3/xF/n4xz8OwO///u8zMjLCl7/8ZX70R3/0el6aIAjCNXN2P/2xlR4rXRckqGT1fpF+aG6V//ML3+wX86VSntveeQcdPyGvqzS6Ho8dXObjaxNR1x93seWw0HIwFIVtwwZTAzlyGY2sofTjLNd75GcaNi3bx3JDZuoW795U4eBim30zTeo9jzCKqfd8gqiLrsooksyJVYuBrM7tEwVsL+IvX5qn1vbYM13HcgLaboCuyDhBTFZXiOQEXZHRVZkoilFkWGq7uEGMqSr4UYLVcZkcyOIFMfWux0jRREIib6q0nQBZltCQ0TIyBVOl1vHwowQZ0DWZpbZDreczWDTJGxr1nkslp3PnRImm5WGoGsWshiJJ1LseU0N5Gj2fIytdnp9poisy8y2Hkw0bTZEYKRhMNyz+/PlZihkN24uo5DQGsjpTw3mmhvK4QTp5d/11q+Z08obC1qEc4+UMx1d6PDfTJG/IqIpMGMWcmKvRdNKFVPpJRwFdVVAVibyhEQQJkgRHlnrEScK+uRb3TlW5bbz05r5pBUF4S3nTeuhPnDjB0tISjz76aP97pVKJe++9l2eeeea8Bb3neXie1/+60+lc92sVBEG4kNP76Zc7Litdl6GCyUjB7MdZPrytyt/91S/S7TlAWsw/+N67abkRg3mNIE6Ybdo0LB8ZeGD7IOVM2m+/52iduaaDF0UUJI265YEEH9k1iqkqZHQF20+L0VUrLYxLOY1DSx1+75kZVBmCOMFU0ymu6X09KjmDHWN55g7ZdJ2QmYZDKaPxrYMrNCwPP4yI4gTLi7GI0VToujESEpGSEITplNUoTvCDiMlKFlOXWel6qLLERCWDF0Ystpz+4KkwTiCBbcN5hgsGG8omjx2uoaoyGUPB9tLf2XVDSGJONSzKWY1SRmW8lCGryxwumYRhzGAuTbRRFZnN1Sy7N5T54+/NUjRVqnmDl+daRFFCRpOw/TRZ6MBCm/u2DjJY1Kl1fRLgXVsGaFg+33hliQPzbQBuHy9y39YqXhCzqZpDkSU6boCpKlSzBoPVEksrTZYaXZ58dYlEVhgpmiy2HGRF4tFbhnlw2yBf2HOCg0sdDEVmMG8gIbF/vs3UUF7s0guCcM28aQX90tISACMjI2d8f2RkpH/bufz6r/86/+pf/avrem2CIAiXa72ffqHlgAQjBbPfflPruPzYr36R/dPLAORyJvc/tBtkheGiRjVncGSpw3LXY6RosNhx+fyT02wdzlPJ6uzeUOLlmRZtN6CUUZlddfDCmKymUMq+1nevqTL1rs9gUefIkoWhyOR0GTuMqHVdkiQhcSRkWSKK04K46wRr6Swxta7L86dWaVg+miKhqxq17msbKEEIsgyKBHGSECUQRwl5RSajq1hBSNYw8cMEQ5PZUMlwquFQzqms9gISWaJgaBiajKkpvGvLALWux0gxgyzBXNNBlkDTFAoZnVcXe+SNtP+/nDXYOpxn1fZ59+YBnp9p0XYCFEXmwW2DjBQz2H6EpkiMlkwcLyKvq5wKLXwLyhkI4zRiU5Uk7tk0gOtH9PyQrKbwxJEa++daKLKEBOyfb2NoMoYm92cK1Ls+k9UM92wa4OXtY3xjpQnA4ZkaD+7ahOWF/UWZoci8/9YRfvRdk/zOnml0TaaS1dlUzeEF8RkHcAVBEK7WTZdy8wu/8At89rOf7X/d6XTYuHHjm3hFgiAIKVNT+skqta5HOasx37T5i8de5JvfOw5APqPztz72AOg6BVPjkVtHaK4doh0pGuwYKXJkqUPTDsjrKm074KW5NuOVDEEj5pX5DnGcoCkS8y2nX9CbmsLuDWW+O93gZM0mimOKGY1SVmcyq7HYcnH9hCAK2TiQZSBvUMrq1HsepYyGF8TIkkQUp+0mXhQTxzEkoCmQ0RXCOC3mdUUCJPwooZJTcP2YBOi6PpYbMVoxKZkqz51qEsUJPTfACyKiOJ0wO1Iy0RSJVctnsGBwz+YKs6s6cZIQxgkDOYO7N1U41bDwwghNkdlUTc8MVLI6779lmE2DORaaDqWsxvfdPtovjitZnY4T0vMs2k5ATldxgpAwThgrZdKzBk6A40c4fkQlq/f79jVFZiC39rWdRmQ+vGOIQ0tdmpZPOadRyRookkS5mO2/7o7jsdhymG3a/UWZvXag+ZFbhnnPjiHqXZ+xstkflnV25r0gCMLVeNMK+tHRUQCWl5cZGxvrf395eZndu3ef9+cMw8AwjOt9eYIgCFekf5hy/yLfOVrney8eZc/eQ0C6g/7PfuoRxkeqFDIaXScgiBI+fPsIURTTdgOSJKHe9ankNCRZ6h92lSSJoysWbcdHkiCMY548Wu+3bjx/qskXn5+l64Y0LI8gjvHCmLyhsth22DyY4x2TZZo9n0pO54Gtgzx+ZIXvnWrgBTFbB3MMl9JPFZp2QL3nUusGJBKUMjqmKmN5IQkS1bxOvRdQyikEUUKUpIuBYkanmjO4Y6zEcNHgqy8v0Oh69LwIJIhCOFm36HkhH9o1wn1bq5iqwlPH6vTcCEWRqeY1Hto+iIzMxNYMO0eLHF7q4AUxWSPNqB8vZXhg6yBPH6vjRTH7ZloYqkI1p7NztIDth5xs9Ng6lOf28SIvzrSw/JDxcoZ6z6PjByy00ufk3qkqlZxOJacTLHWp9zwkIIwT8qZKJavzyC3DxAn9Q8fLXZdqKdd/zfMqGHo6/GukaHD7eJmcrvQHjT20fag/FKyU1bh3qip25wVBuKbetIJ+y5YtjI6O8thjj/UL+E6nw969e/lH/+gfvVmXJQiCcNWqOZ28qdJaqbNn76v97//dj99PpVphbC3lJL+WEV/v+cRIzDQcTtRswiSh3vP43olVgijmlrEiQRTScQNUWUJXZCRJ4uBim6bto0jwh8+epOOGbBrMUuv5yEjsGC3QtAJats8P7BpjspJjOG+yavmUsxogUc7odAk5tWojyxI/+u5NvLrQ5uW5NoM5E8tPk3Q6bgBrs5e8MEZaa5/pOgGKJFHK6pSzOl4Q0XHTBUHXDXHWojvDeC0nWYKeF/DUkQbLbQ9FltlSzfG+nUMcWjRoOQFhlJDRJd61ZYCpwTy3jBaYrlvsn2vx/MkmL840adoBpiIzVk4HbX1j/yKmJtN1QyQpbYHaPJBD0xQUReKbry7TsgImB7IUTY2hgsEjtwz3P+F4aPsQPS/iwHybBNIDvWHCN199ba7A1FAeJHjqaJ187rUkNst2+fDtI2lEZ5SQ05V+8lBGV6icNmgsIwZMCYJwHVzXgr7X63Hs2LH+1ydOnGDfvn0MDAwwOTnJz//8z/Orv/qrbN++vR9bOT4+zic+8YnreVmCIAjXle1HvHx0kf/2lWf633vo3bewa+ckS20HU5P7E1+zhsL++TYy8ND2QWZWbY4td5EkGUgA8MMITVEYKRjIUjoMqWX5+EHMkaUu++fbHF7qUs0beEFCMaPiBRF3jBdRZJnnTjZx1grthZZLJauy1HE5MN8ir6tsGsjS6KXpLpsHs7xjssw9ix2ePlbnWK3HqYaFIksossxAVmNDJUNGU3DDGCeIWWo7jBZNZFlmueMSxQlJklAwVSw3JIhiAGIgDBPQJGw/pGkHtCwfU5HZOVpg14Yyry60cbx0EXD6zvuhxQ62F6HIEt85UmOu6XDHeIliRqOc1firA0vpc2OouEGEF8bMrjooEqzaARlN4Z1bKoyXM8iS1N89hzTvP6MpfOruCT6yaxQ/jHh2ehXbi8ibKgstlz1Ha3z49lH2zbQIo4Rt4+X+a3tkvsmeYw38IGKp4xImCRsqmTN24k+PLhUEQbjWrmtB/9xzz/H+97+///V67/tP/uRP8ru/+7v883/+z7Esi7//9/8+rVaLhx56iG984xsig14QhJvacqPDb/7htwnXCtldt27i+x68g8lqFkkCTZGZa9oUTJWNA1kOLnb6h2hHiyZHl7vcu2WAgqGRkLBq+chy2uqyavms9nz8MCZOEv7Hi3OEYUJGU1jupq02q5ZHVlfJaiqWH3HnxjJhFLPnaJ2eFyBLEi/Ntnhlvk1GV+n5Bqamoicy7bUd/6/tX+S70w2adkCYJGyuZhnIpgdGNUVBVxWGCyYPbBvkpbl0QRElMQ9vH2LHaIH/uX8By0t3y9NDtOlzkwCqLKWDrdouThixf6HNluEcPSfkhdkWxYzKaNHE9tPn7/6tVZqWj67KvDTTot7z6XoB++fbBHHCeNmg3vPYWM4wkNNZ7rgsthyyRrpT3nNDwiTBC2NuGS0wkDOYrGbJ6ArzLYe90w2ato++dsC2nNXpeSFBGPPdEx1ato8sSZTX2p9GCiYyrx1GPrrQom0HTA3lyWgKpq6csft/JdwgwvYjsmJHXxCES3BdC/r3ve99JEly3tslSeJzn/scn/vc567nZQiCIJzXtS6cbDfgf/ncn9Oz03SYTRuHee+Du9g8mKNlB+RMDU2RWGkHnKhbLHe8tK/bCdk+nKfjBpQyGu7agc1aN+15v22sQM8LeHGmRa3joSjghQmqEqOrMgN5g7DjMtOwKJoawwWDuaZNOadzx3iJoytdCqbCTMOi7YTESXrg1fFDGj2IIo+JgSx/8dICJ+sWz59qIskSpioTBQmHl7pkNIUwThgsGLSdgDBOuHWsyO7JCgeXOnxvuoHlRTxxeCVtCyKNi0wAVQJVTnfpLT9CkyW8KKFoqsQxvHCqSVZTMFWZDeVsGq1pexQzKkttl+O1HotNl1NNC12RmShn8cKY4ys9Ng1kGcwZKIpMkkAUx8TE+JGEqUhIGY1mz2Op45A30r/hY+8YB2DvdINTDZum7VHrpgOtPnTHKEeWujx3apW2nbYaJQm0rYAN1Wz/tcpldCzHp9mx+0PFxsqZM3b/r+S9tr7I6Llhv91nfdiYIAjCudx0KTeCIAjXghtEHK/1eGW+jRfE16RwSpKEf/Afv8pLx9N4yh0bqvy3X/kUJ1YdvCBGVyUalo/vS1h+SMsJMDSZSk6n1nXJ6mn840fvmmCx7fSHRo2VMnz3ZBM5gaKpMl7MYIchcQyLbYcwignj9KDsZDXHB3YO0uiGHK31UBoSz59s0nR8OrZP00ljGq0gYqxkokoSpqpwqmnTdX2+O+1Rs1w6bogqS9hAGKVFuaFAGMHBxQ7j5QybqjnstSL1u9OrHFzskiQJx1Z6yDJUshp2ENJ10zhJWZZQk/Q6227am0+SkDMU5lZddm0oMbmWk5/VFRbbLlsG8xxYaJM3NIq5CHclIkkSJgeyOH6EG0Q8ctswpiazb65FnCSAxGghw8mGhSRJrFoecZLgBTGGqjBYMKhk9LVFg0/T9vDDhLGSyfyqw1+8uEBGV+jYIV4Yo6ydW1jsumwfyVPruhQzKgOlLJbj0+k5/aFip/fOn+5Si3R3LR2nbQf9x9s73eAju8auaMEpdvoF4e1BFPSCILztzLcc9hytsXd6lThJuHuyQnstOvJKCyeA3/ry9/iDb74MQM7U+NK//tvctnmIOycjpusWzx6v8+pCB0OVieL04KYbxExWsihSGgUZRDGLbYfdG8tUsjrLHYfff+YULSsgbyq07ICsrlIwNDqO3+8Xz2gKYZQQBDGHlyzmWg4tO2D7UA43jDm42CEIY3KmRtMOUGTouSG3jRfp2GG6UChn+d6JBn6UICUJTpC2vCiAockEsUTBVDE1CT+MmG/ZPHZwmaYV8PjhFap5HUORaVoebTdgMG8ykjeJYocwjFHldAddl1VMNaHnx7RsHy9UUNWIw0tt7puqErohpxo2g3mdiXKGr728SEJMTte4dbTIctdj1fJpWD7DBYMnDq/QckIUWaLnhWyu5tg1UeQ3HjtG2/HTwVdhjKHKOH5EveshS2BoCrIkMb/qMjFgYvsRpaxKxw3ZOJBJD7DqCl4QkjMU4gTGKhlUWeYDO4f5L3mTWYAESlmtvwA7O8Xmcop024/ouWF/x3+oYLBq+efMrb9YsS52+gXh7UMU9IIgvK2sF1e1ro8iS8gJnGrY3DFRTFNZrnDgz95X5/gnv/VX/a+/8L9/nNs2D/W/PrTYoWH5dN2AEz2fOE5oOSZTQzkaVtp2kzfV/nTZfbMtHrllmO+dTBNdxsom3bUDpvWexz2Tlf7Qp90bymysZtlzpEbLCYmThNWeRxAllLI6zXrapkKSYHvhWh98OtxpuGASRS5ZPUfT8nCCmN7a7nmcpIdTs6bKRCnDcsej1nUJogRdlZlp2OR0lbsmy3TdgPmmTRiDF0YkCbScAEWCoqnRtAJMTUFTZIoZlVrPx4/S1htVUTAUGSdIPwmwvAhTk9k4kOHF2SazTXste9/F1FW2D+fpOgFFU2NyIMNjh2qEUUw1qzPXcphvOix3XXaO5jnVsJhbddEUGVmWyZtpf36cQMPy8cKIluNTm3HZNlxgvGSiKul7Y7hgMNdySJCw/YgNlSy+H5HJqwzkdKS11J90au/5U2wup0jP6gp5U73qHf9rvdMvCMKNTRT0giC8rawXV+Nlk6bt0bIDOq7PQsthrJy5ooE/C40en/qXf0YQpjva//Rv3c+PvO/2/u1Ny2ehadO0fAZyJrIssdCy6ToBpppGUA4WDMZLmX7Bt9x1OV63sP2QoULaHlIwVRRJRldlkODdWwZYaJkYikLR1FBVhYKZkCRQzRs07YCVjkvHfa2YliXww5hSVud9O4Z4aPsQ/+OFORabLvMdmyiKkSTIGSq6KlPJaYyXstR6Hl4YESUJkpQ+j7Yf8cSRGpos91NrZElCV0DTZMIoJkggb2iMl00G8wZxnLDqBmRUha6UHo6tZDTajo9mKpQzGkVTY7yc4VTD5rvTqwwWdIIwpmkFxF7Its0lvv5KD4mE2aaNnICuy7w03yKKEqp5g+W2SwKM5k0kJKI4wVRlYmCkZCJLaf+8oSh85M4xnj+ZDsHaWM3y/ltHONWw2D1ZQVHSYVuKDFuqORa7Hoks89ihlX56D1w4xeZSi/T1x7l3qsre6cZV7fhfziJCEISbnyjoBUF4W1kvrtp2wKZqjkavSbJWUF/JwJ+5ps0nf/nPmKt1ALhn5zj/6488wGLboZLVaVg+e47WOLjUZXbVZudYkWKi4udNNElise2hKjItO0BCYvtwnqMrPWpdlzCKOdWwMTQFXY2ZrvXw47RFxw9j2k7IibrNStclb6jYQUReV9EUiR3DeRq2TxAkKIrEeNmk58a4YYCmykwOZJlp2nz3RIPRUoaEhBUrPRiryuCHCbIM5YyOrsqMFTNkdJmjy1167tpBVwW6TsBfHVgkATRFQpIkgiTB89MUnkrOYONAhpKpYfshlh8yYGo4aowfxVheyELbQZYkSlkDJ4zZMVzA1BQG8jphlKBKEgNFgyhOsP2IbxxYpmGlbUOuHxHGMZIk4wUxigJRnKDKMnGSIEkSY0UTJ4wpZTQMVWHXhjJRwhkFbyWrs9JxuW/LAIWMzrahHO/fOUwQRVhehKrAE4fr2EHUjxy11uI1L+ZSivTTTZQzV73jfzmLCEEQbn6ioBcE4W3l9OKq54bcv7XKrolSf+LqxbhBRNNKM9uzmsIvfuEJnnt1BoBcRufOd97O//U3R1AkmR2jeTRFQQbunqyw2HY5uNAmb2poskyy9ng9N2Qgq7PUdoCEpbbLWCnDRDmL7cfUui4TZRPbjRgpm2wbyvOtQyucqFvoqkwcJZxq2IyWDCYqGdpOepjz1tEicZIQRnmcMObZ43W6bkQ1q6MqMn6YcGzF4n07h5gayiElEk3X586JCq8utAmitAgeyBus9jxWLRfHj4lJh0RJMSRSghOEDBVNvCDG9UP8KCEh/aSgbfscXIhQFCltU1n7n4GchuUGWGnXEDlDQQJO1S3yhsp4KYPnR4yUDE41bGo9n54b9NtccoZKz4nwgggZyJoyspQQRRKKIlHreWyqZsnpaU/8aNEka6jsHMkzNZjDCyKiOOFYrcfkQJa2HaCpCs+eWKXnhmiqzEPbB5kazAP0k2tO/xQlPleUzXlcrEg/1/v0anb8L3cRIQjCzU0U9IIgvGVcaqLH5RZX6+ZbDt94ZYkD820AtMjjv33te/3bf+DRe6g7EblMgqbBy7MtNEXhvTuHKJoaP7hrjGenG0RJwkDewA9jqjkdN4jJZ1Rmm85ackvMQE7H1BS2D+cpZlTunqxgak1GiiaOH+EEES3bY7BgYugKvZbDUjthczXP7eMFjq700r+1kmWmYTO7apE1NDQ7oOMGLHdcHtk5xPG6zULLYVM1x1DBIIgTNAUe2FZNp9AiM5DXieOImpX2lodxQgLEEsgJaKqKoSrEMbTCGF1R0FSJIIwJopiOF6JKMJg3kCWZhuVhBQG2l8ZnjpYyVHMGXpi+fpois9x1QYLBvM7JhoUfpkOlJAnsIMK3fMoZlSgCSAdKDeYNgrVd/4lKhm3DBXRFZmbV5shyF02RGS7oPHO8wZHlLi/ONPtF8e7JCpossdhyWbU86l2fQ4sdPv2eKaaG8ucsomVZev2b5AKu1XCpSy3Wr/R9LgjCzUcU9IIgvCVcbqLH5RZXbhCx52iN/XMtFFkijmJ+54tP93dpP/reO8gPVEjcgOGSiSKliS5uGLHYctGraa/8wzuHCKIEx4tY6jrMtxyqOZ0D8x0UWWLrcJ6Vrsf3Tq3ybmkAJ4gYzBtMDeY4Ubc4ttaOc6LWY9UK8KOYOEkjM6W1w5sHFrroioypKxxYaLPUcTgw32FqKMdYKcPcqk296/HSfIdbxooMFgyOLHVYWJv4mtVVtg8XePzwCm3HZa7lYHkBuiJz21iRrhOy0LZxwwRVBQlo9HyKGZVKViejK/hRQttxidY2sWMpfQ4H8yodV8L2YtwwwvET5lYdoijB1BRGiia3jRX57okGz51scmylm6buACMFg64X4ocxYZLgRzGljE4hq1HJ6myspDvtGV3mb90zyYmGRd5UaToek9UsYZSwf67Dtw7VSOKE0bLJ5ECaZy+TEEYJq5aHH6W3LbZdnj5WZ7ycOWcRnTOubYF8ORGT68V60/YBqJxniJWYUCsIbw+ioBcE4aa23gKz52gN24uuW6KH7ae/R1NkBnI63/zOKzRW0775jaMVPvLeOznRsFFk1vrhIUoS7pwoUc7pZ+ykQnog0w0jOnaArEjIctqWU80ZTA3lefLICk8eqTFUMLhn0wClrM7uyTJ7pxssd1x0VUaRJTpOOo21YGqMlNJps1ESs7maZd9MizCOcfyYKIlpOwGqIoEkkZAebi1lNG4dLfC96VV6XkTPC5muW7w02+J4rUcQJewYzbNq+UhrUY+JBHJXxtBiBrIGlhfghTGWC5urObpeSL3n9It5SCfFLrRcZElKr0OWCMJ0p9+LEmabDgVD5cHtQxxd6XJkuUfPC0GSCMIQL0pY7LhoSrorrskygwWTzdUciixRyepMDmRRFJn37Rhk82CehY7DsVqPrhOiyjJdJyBrKARhTEKCG8SMlTJ03QAvitFkmXrXZ7ScRlgOFXS8KO73pp+94/1La3+gqshX/f66kojJhuWLWEpBEABR0AuCcBNbL4JWOi5Hlnvs3li+ZokeZ++WZnWFSk4nWOqy/9gij+89CIAiS/zBv/gEu6ZGado+3z5c48B8mwTYNVHiw7vGqOb017U97N5Y5tSqlabFBBG6ItOwfPKmynStx3DB5M4NJYIg4sBCm21DubQdJ4zQFQk3iBgtmTh+iBukhz/vnaqS1VQGCzqVrM63Dq3QcdLFhabK1LseMRKKDEMFk7snK0DCM9MNrCBiQyVDxw1YrPXQZYVq3mCl6/LyTJtSVmMwZ1AwFTqtgIKpocistQilB2ghHRo1VDBo2j722qFRWYYghjBOcPz0e1GcoMigRun0WFVOrxFiFpoOcZKgq2kRPdtMCOxgbSddYWM1S8FQSUgTdO7cWOa2sWK6mx/GvLrYpWmHrHRcTtZ6LDRd8qaCqavoUpoZv75AyxsKiiwzXDC5a2OZmVWbxbbLUEGnkjX6nzisO33Hu962AagWL72IPtcu/JVETIpYSkEQTicKekEQbkqnFzTDRZNDS11emGlSMFVadnBViR7n2y19aPsQp2o9vvDHL5Ak6e7sz3zs3Ty8axKASk5nvJyhaftIQDmr94urs2MH//rVZb5zpL6Wry6R0VWW2g7qWrFuqAr7Zlu0bR9VlllqOxiqgoSEHye0nYAwitN8eUnCC2L2zTR5YGuVHSMFXpptQQL+2g5zEMUkSRrpOFw0qWZ1nj/V5LaxApqSHlJtWj6yLLHS87hjtJgOobI8TE1mpGCiazI7hnNsH44xVPjKS0u0nZCMrhBEEUgSqiyzfSjH8VqX9Q369XRHWYKJssFKDxq9gCCCRAJdkcgYKuWsxsmaTUK6m9/zgrSvPojRVJlSVmVjNc9kJcsdE3mWOz4fvn2UTdUcjx1aIYwSRoomB5c6/Olzs+iKTBCnn07MtnwyqkLWULlnssKppk2j6yFLMrsmSjy0fYiJcoZPv2eKp4/VsfyQrK72F4lnm2va1DtpQa/pGvMtZ21Q2PnbZs73vrqSiEkRSykIwulEQS8Iwk3p7ILm7k0V9s20WO64DBfNK070uNDOZzWn8/Rzh+h0LCBttXnkgdtwg+iMwn2sdOEd26bl88pciyhOGCoY2H6U7rgXTd67fYjDix2OrfSw/CAtsoH5tkOcwANbB5hvpVNRXT8hTmIUWSZnKCy3PR4/XKPe83l5rs18y6LjRMQJGKqEqsoUDJXxcoaZhp32i4cRurqeIx/StHwkGbpeyGDBwPEjsrrKUNFg63CeIIwpZmRaTsjUYK7fvqIrGlECEwMZalbApoEcbSfE8l/LatcVmG17eEGEqabFdhiBocposkTLDjBVd60NxsePEqI4QSKhnNHI6CorbZe27XN4qcN4KcPBahdFkfvvBUWWqHXS+QKVrIrlRvT8NAlnvJIhoyo0LJ/3bh/ktvESYyXzjIXX1FAeJHjqaB0/jNk328JYa7c5/T3y7VcX++cnMqbO3ukGuyfL7Jtp0bR9dEXmwW2D6eNd5H11JRGT1yOW8nJ6+AVBuLGIgl4QhJvS2QVNFCXcOzXAe3cMnVGgXa4L7Xx+7/A8f/H4KwDIssT3P3I3S233grui5yqSvCgd0KQq6SHWIIywvJicoVDMqIRxQhTHNC2fnhchAXkzwvZjHjtYQ5HTnnRNVchoad56NZcOn6r3fJ6dbnCybuOuDbqSJQjCBEmKaPRcqnkDe61gLxoah1e62H5IkgBJwpbBPAkSz51qomsKhYzG5ECWKEqo5HRuGyvw5JE6miKzbThNgOm4IX4UU8lqrHR97t5UZq7pQOISxRBEEEYQhDFRDKWcRimbXnPRVLH8iLYTECUJOV2lnNVJkoTRoknPT+MpJUgnzIYyhYxG1lBo9NLC2FBlal0PRZFY6bnprAEnxPYClrs+OV1htefx6K0jqIrMI7eOMHqOhZcbROnZg7Xd/vMNbZqv9/o/Uy5kqHVdnjpap97zadoeta7PwcUOn354iqnB/AXfV5WcftkRk9c6lvJKevgFQbhxiIJeEISb0vkKmnMVaZfjfDufJDE/95++1m+1ef/9t4FhstRxOV964bmKJIC906skSdp/3nUC7LWiLkaiaQVEMfS8ECeIiJI0873R89EUCTeMUOX0YCskhFGMoSvIskwQBWhrQ6qQktdaXpI0iUaRZKIYDi120DUl/buktK89oynkTA0VCIKEoawCGOyeLHF8xeLAQoe7N5WpZHWeOFLn1YUOlh9iKDKT1SzjpQyTAxmO121W7SYHFnpESUIlZxJEMbYfEcYRfhRjqjJlUwNJwtQUNlWzrFrp3xfFcHCpg+UFxEhsqiqECXhhzFzTwQ9DSBQGFJ22E3KyYWF5EbeMFgjW8vi7ToiuSvS8gJYVrD1f0HZCDi52eXhnuug712LrUoc2uY7Xf53tUOLIUo+RkkHPC/HDhLGSyVIrLfLHS5mL7qhfScTktYqlFP34gnDzEwW9IAg3reuRs32+hcJ//vNnOTLXAGB8pMI7d29H12QG8ybnmi90riLp24eW8cOYKEq4bbzEQtuh2Qsp5lQe3j6Eoci8utjG8gJWbZ9gbRBpDPhxgh+lGfHDpSwAHTdEAgqGRhDFFE2VrhchyxBHr7+oKE4PzzpBjBcl+IHNfNMhShKqeZ2CodK2feQkoe2GbKhk2DZUYKKc5dhyF8cP+fK+OWZXHYqGiu2HNMKIrKHw0LYhXp5rEScJ92waYO/xBrIkkSQJAzkdP3TJ6DqDeSMdBqVIFAwNQ5MJooTRUoaMpnC8bhFECYWMhirJhDEMFwzatkfXC4jihJ4f07IDZk2LW4aL7BgroMgSc02HqcEcd20osfdEgyU8ihmNUkYnTmJkKc2x37WhfN6EmEsd2pRTX3t+h6t5RstpAd/1QkZL6SKgnNPww/iSd+GvJGLyWsRSin58Qbj5iYJeEISb2vXI2T57obDU6PLv/vgpIE21+XufepBtEyXqlsdI0Thn3/LZRZIiSzx1rI7tR4wWTJCgbGqsdDykRGL/fJv37hzkZMOj1nWJohgZQEp32OM4PTyqqTItJyCrKxiqwtRQju+7bZgnjtRpdl1aToATxKiqTBTGJGu786oMWUNFkmVkKcYPI7wgJE6gYKgYikTBVOh5MoM5nUpOZyBnEMUJSy2X5Y6HLElEUYLth7Qdn6KpkdVUZuo2v/a1g/hRRDmr8fCOYR65bYRKXqdt+7hBzOZqjnLOoN51WWi5OEFMJSMxWjQ5XutxqmEDCZYboKkyGUVm40CWsbLJlsEse47VSRL6/4RAx4mYa9k8tGOQgZzBgYUOIyUTiTSXXdckDFRGijp5QyWM4f6tVSZKJo8dWukvthZbDo8dXObjd43340H3HK2z3HH7hfjZ77F21+n/3+/cOsyto0UUWeLoco99My1MTaGc1dg6XLiqXfg3wvXoxxcE4Y0lCnpBEIRzOH2h8M9++69x/RCAT3/0nWwcqfDCTAuAgqnTsPzX9RufXiSVsxp7jtVZ6bqoksTLnTZJkmD5IV4Y4QZp//d3T6wSRen3dTXNio+T9P9R66rMaNGg5QY4fkzOUNFUmShKePJwnZOrNm4QIUugIqGbGloQYigKmgJemCDJElGUJt5EcYIiSahyghuEzLUcJqs5fujuQe7eNICpyeybaTFdtzhZt2jZPlEcp7GOLeeMVhU/jEFKs+EbPZ+6NccHdgxz92SFh7ZVsbyInKHwzVeXmV1VKWXSVJiuF/L0dIOVtgtIxEmCG0ZoioShynQXQ+aaNgfnulhugLy2uEl4bZHihBGHl7u4YUzeUGn2PE6u2hyv98hoCrYfMV2z2DFS5N6tVd53ywhRQn+xZXlp285K1yOKYu7cWOFUwyKIYgxVZvfG8jl7yU8tNvv/92A5T63rMVHOYMgSEmBqcvrJTXLmJyU34qCna92PLwjCG08U9IIgCKc5u6/6seen+eKTaeb8SCXH537qfXz7aJ2tQ3nGyiZtOzij3/j0n18vkuZaaaLMeNGknDN4dbHN8VoPkoRSRqfrhUQJhFFMFMFA3iSMQUrSg6aKIlHMqOwYK/DqQgdZl9gymObSL3ZcLC9EUyRkWQZkYkIymkw5m6FpeUSJTM6UaVrpEKogSogSiEjW8t8l3CDm6FKXH79vE7eNFQHI6wr/48V5NpYMJODVxQ5tx0+L6gQcL8IJIpIEMlq6cAjjmFrH4/lTqzxy2yjFjI6qRJyqWzx/qkUUxSx1XBJp7VMMJ8AJov7AqDgGSZGIIrDWWmxCM0aSkvS6114nCVBkGS+I2DvdpGH57N5QYabp8NSxGrYfkzdVbhsr4AYxd24s8qm7Jyit9c7nTZXFlsPBpQ5HVnpkNYXnTjbZN9vijvESY+UMta7HvtlWf1Ls6Q6cXAFAliTyhSylrMbO0QLPBzHfd9sIEumCrOuGN0Xryo366YEgCJdGFPSCIAhrzj7Eevdkmf/tv3yjf/sv/uT7iEgz3zdVs5iagq7I/X7jc/Vlf2TXGCfrFseWe2iKTN5QGS4azDcdZClGIiFvquiyzK2jRWZbDoYqoysSS22POI4ZL2eo5gyavQBVlpElCUWSkGSJjKZieSE9L6KSlWm76Q68H8iMFTV6boCuKGQ0hbYcIEsyqgJJlCblJAkkSJSzOj0/4tuHVxgqmjh+xFPH6nx3ehUvjNBkmZbj0XFD5EQib6o4a8k4qpJOxfXCiBiJal6jmNH5ztEVjte6eEHMkeUuPS9MD5SGMcsdh+GCiROkiwwJiNf6g3RNZrhosNh2iZP0U4qcoeN43msFvQRJkhDGEk4QMt9y0GSJphNgaiqyFCElCUdXLN6xsUwSgxNElHhtR/obryxyvNZDV2Q2DGRw/ZiTDYt3bh44o5e8ZfvoqtJf5IVRzIGTNQC2TQzww++c7LenHF7q0uqfm/Av2rpyI0VF3oifHgiCcGlEQS8IgsC5D7H+6z98ql+4TW0YxChXePJojSBOXtdvLEuc8fMLbYdvHVzmY3eNs3kwx50byuyfb9O0PVw/PaCZIOMEMVoMxYLG3ZsqtNyQkzULJBjIadw9WWHLUI4XTrUwdZlyRuPUqsXB5S4jeRNJSoiSBMcPsbwAXU0z6YcLBn4YU87qSEDTDlDkNO89XzBZtX0cPyYBVFnC8kJUReKxgyvUOx5OGGPqMm0noOuG5I00mtL1YyRAikCRwFAVMrpCHCd03JBSRmWslMENI759aIXJgRy7JoqstD1MI10IlDMq882Elu0jSdLahFgJKY5R5QRTVfCjCEVOU3CymkpXDshlFDw/ImeqeFFMHCXESULOVImihMW2R9db26lftel5IW4QsrSW4f/EkVp/gNREOcN7tlX51qvLdJyQxZaLF8bEScJqz6eS1al1Pbwo4n/uXyImoZJN++mPzNbx104sD1aL2EF66BW4rNYVERUpCMK1Igp6QRAEXn+IVZdi/vs3nu/fvvsdO5lt2gz4BgVTJWuqrFo+WUNh52gBO3jt5y0/Yq5p0+j5ADy4fZD7tlYxNJmm5dN2ApDAD+J+X3hOV/jLlxY5tNTB8iMmB3JUchqbqjl2b6ywf66DIksM5BR0VeZ43WKoqHOqbuMFEYoiEfhpv7apqhiaghOEKJJE1w1RFRklSlBkaLsBeUNj27DOsRUbP4gpmhKKDCtdjz3TDSwvQJUkogQ0RWKl5+AF6SHbGCCCRIaiqVDJ6miyhKz4a5NPQzpuSBQnLLTTnvuuF+CGEVuqebww4pbRIoMFnYOLHbpuiKnKtN0QWZIoZVSGCxke2JpnZtXi+IqFpiroYYxmyuRNlSFVYa7lEEUxbStAUWT8KEaV0mz/nWMFDsx3cYKQYiY96Gp7Ub89qmH5/PWry5xatem6ISVPJaOpbKrmqBZ0Vi0fP4w4sNDB9iJGSgZDhTSC8+l90/33xehQ+YyWq2pO5/6pKpLEBechtG2fbx1cxgkixksZERUpCMJVEQW9IAhva+stD4rEGUkf/78v78V2AwB2bt/IXdvHsP2IVcujYKq8d8cQq5bP/vk2z59srsUvxiy0HeaaNostl5yp8Mp8m5dmW9w6XiRvqNy1oczBhS4DuXRwkuVFSCTULR8/TMgbKooiE8Ux920eIErSnfqdo3lWez4jJZOVrseO4TxBFNN1A7KGSslQWO56SJKErkjMNW1kSWK0aFDIqLh+hKTLTFRM5psueUNDkWU2VbM0ej4ZVWG55xHGEW077bOXJVAVmSCMiUl35E0t/VQhBrKagipDreehyaArMgtNBy8MMXWVgaxGo+vjBBGFjIrlxbww00KSYGoox31TA9wyWuTZ6QYzqxaqJFHJawxkdW4dK/D3H97KqVWbz/3FATpumLY3OT722mTeIIqIonRBpCYRcZywc7TAUCHNg58aylLJaLxzS5WiqeEGEauWT9P22XO0xqsLHYqmiqakr13OUNhczXDPpgpZXeGLL8xxqmGR1RWO10LcIEJV4PBMvf/+uX3LEL21PvnzRWGebbrW468PLLFvtsVw0aCU0UVUpCAIV0UU9IIg3BDejF7is1seNlVznMLi5ellvvP8UQAyhsZH3rcL24/QVYmFVZfNgzkymsKLM03m2y6bK1ksLwJJQpVgbtWh1vNoLfpYfoShylRyGqWMQdv2UZT0wKkiS2R1lZWOy0rbwTFCYqCYUWmGMScbNqMlk//5yjL7ZtrUui4DeR0SsLyYRs+j7YYoJDR7PkGckCRp3nzB1KjmdUBClcHyIzK6zHLbQ5Flqjmd8UqGE7UeSx0POwhw12IsFSlNkgliMDUIpbTXXpIhkdJ/S2mwDW03xPNjTE0im9Fx/bTw9aOEjhsQBekds0Z6aFZCQpYk6j2fp47VedemAcI4wfJjFFWi0QtYtQI6bsTDO4eYHMjxjk0Vpld6vDjrkcSgqaSxnpJEIickcdo2lNFkCobKJ3aP8+pihyCKmW+5zDRstg3n++1RXhAx37TRVJmRUobWWpHf7AVrrU1pEs/BhS6GKiNJEkmccGylx61jRVbq7f57qFjMkzfV17VcnW/Hfbre4/Pfmabe87G8dKgYwIZKlsH8uSNQBUEQLkYU9IIgvOneqF7i0xcN8PoC7BQWj9wyzH/78tP9tMFPPbqbjUMlZpsWry6mByj9KOGbry7zpRfnieKEV0yNd24eoJzRuG+qyoszTQ4teUikBzdtP+TxQzVuHy+SIDFayuCFaQ+5G8RESVqI20F6oLXW88jpCt892eD28SJdN0KWEgYLOnGSrBXEHh03IEkS2n4MpBNlE9LivZjR2DFc4GStR9MNMDUZL0xoWj4SkDcU8hmVCMjqMnldod4LUCWQJQhJd+hlWSZrSHhhjKbIyBLEEaiGjCSBt7Zb7wYJTuClB1wliNcGYSVJ+ngtO0SV04OXRVMjShJWuh4HFjssthw8PwIS/DDBj2IsN+A//tVh7t86yErXZaFloyjpc5ckCV03QElkNFUijpO13fOEEw2bxw6vMFnJMV7O4kew0nUpmCqVnM5YOc2gn65ZLLRdcoZCywnWYi/TxWTL8kmimKbtU83p+FH6vGmKzDs3D7BUSwv6rKmxZazMvVPVM6IwzzecyQ0i9hyt07ICNlQy1Loyq5bHSsdjx3BBREUKgnDFREEvCMKb6o0aO3/2omHnaOGcBdgrJ2p8ZU8aUzlczvFLP/4gL8y2OdnosbGc5e7NZTw/4U++N0PPDSmYKi0n4PHDK/zw3RMUMhqDeR1VkdMs+QQsP6TjBdhBRFZXqeZ1NlWzNG2fnhPy+JEVKhk9/dpNIyxLpkLXTQ+W5g2VIK3ZyWgKeUNBVyQqWQ3LCbDW/kZ5rZiO4jQxZs+xGpYf4QURAzkDXZEZzOs0ej7LbZeSqRKGMbIkk5AeWHWDiJyuIAUxXhARRRHFjE7BBEmSyGjKWr46zLds5AQi0n8S0v+lAawFN0oy6DLpYykShqagaTIEMTlTYaioc7zWI4xj7CB+bepukPDibJuGFfDwjkEkOd0l96OYobzBqhWQN1RUFZZaHgmQ11V0ReKl2Ta3jhSRZYnBgg4kPLhtEIDff+YkLSvA1GVyhkrHTs9BbB/Oo2vpYWI3iBkpZRjMGSQS5HQZXTG5e1OFogaLjS4Au7eN8gN3jvfjSg1N5mTDZnwtzvTshBvbjwjCmMGCju1HDBUMvDDm7skyH10baiUIgnAlREEvCMKb6o0YO3+uRcMr821kmdcVYL/2B0/2d+e//z23kzV1Ht4+RNPyGcjqaJrC0W6XhZZLOavRdUMMVSaKEyYrWbwgYjhvUslo2H5EwtrusSyTNVTu3lgB4NFbRzBUhZWuy/MzTfwooWCqLHfS4rRhhwxkJNq2z6rlIyEhSaApCuMVE0hw/IgECWXtYK281iojAyvt9BMCU0/z3es9j7ypQpJg+RE9L2K5u4qhSmR0lSRJe/flMF6bcmoQxzF+mBblg3mDnSN57tpYYbZl8/SxOlJHIpYSpPWDsmti0k8mJBlMVaaaN7D9EE1JB2HNNWwyukLWUOi5MZWskR4q9tNDxBIgKRBFCSsdl1fm2owVMvS8kDhKWGo7FDNpi5QkQcsKKJgaW4fylDIap1ZtDix26LoBx1bSuFBNkUmShKYdMFY2sf2IyUqG8niBrKERJwkzTYfZhs1YOY3t3DFWZKFp03YCBnI679w8wFMvz/T/zkfesaX/Hm1Y6WJsutZjutbj9onS63bcs7pCJafTdUNWLY+llstgXufR20YvWMzfSNGWgiDcmERBLwjCm+qNGDt/rkXDdN1CIuFE3e4XYBlCvv7sEQDK+Qz37d7G3ukGj9wyjKYqPD3dQJbh6FIPP05bMlRZouUk3DJa4OX5Nl/at4DtheRMleWuh+PHZA2VnKlCnOAFEdWC0U9AyegKD2wd5K9fXWK26fQL45iE5Z5HFKUFskyCqkhAQtFUyeoqhxe7aKpCQQLbDwkjUCVQVQk3TFAkCGPQZLADaNvh2mOlRXNEOkFWVyPadvr442WTDeUsfhCx0HUZLRlsqGaZbzocWOyw3PEIopjltkvB0JAJ6HnpVZdNmYyh4fhp6xBxQkZTkSWJgZxBEifESGT0iChKWGq7NHoet42XqFsuugJBtLYwidNPGxSJtAC2A+I4wdAlcpLKPVsGuH2smEZLBhFRkubqH12xUGVYaNosd7218ws6+2Za6KrEQE4/4zzE1uE8t44V+cuXFmh0PewgYpMqU8xqyLJEYaRAIaPRdQJONSz+6rnj/ffVo/dMAa8tGGVJ4j3bB1loOeSNNPHmdOv59wAFU2X7SIEHtw8yNZg/73tXRFsKgnApREEvCMKb6nqNnT99V/PsRcNC22Gp7bClmjujAPutP3+6//N/+4O72VDNsWqlqSrr2/ZdJ6Rpp7vfQRiTKDKKlBaTh5a66GoaqxjFMQNZneFRg4KhstBxOdGwuG28yM7RwhnX+JE7xzi01GGlkxa1bpgQhQnRWnUvS2CqEkmSxk6Wsxo/cf8W/njvKeabDhIJS10P2wuJEgkvTA9axgl4wVqUpZYm53hrCwSFtNAP4nR3v5JV6bkhq1aArrgYmkwYJThhzP+fvT8PlvQ6zzvB3znfnnvefam9UNhBFBYSIsVFFCmRki1RLXts2XJ4G6ttR2gc0YqeGat7wh22p+3usK1Qt6yxpr3b7bHdasmyKcmUTFokBe4EWNgIoPbl7nlzz/z2c8788WVdVAFVWChio79fRAVwb2V++WXmiaj3vOd5n+fi3pTOJGYY5Wz1YhCGcCbNcWyJk2lSDUIKjrQq1AKbQZQymCb0wpx+mNLw7INTCN+xGKkcKQW5MlzqTGkENq6s0J0WfvBpDoErZ7Iayf4gxrYgV5IczbX9kD/26GHaFYdTSzX++VeusDeMQYDv2WyNIuYqHsv1gG6Y0JsW31mr4pGq/GAeIkoV394acXy+yAroTRMavsNjJ+b44ov7zDWKjVfNs+lOEn7vyUtAoZ//vnsPAa/cMB6dlwduOt4NgVTwxhJZ3yo5WklJybufsqAvKSl52/lux87fqqt546YhcCxWGj6rreCgADtzYYff/MqLADRqPh//vrsPTgsAHEvy/pPzPHmlT7vq0RnFOK5EacFCtehKN32LhVqAMUUxlmnDIMzIZiFIjm2RK8MTl/t89UIXhMCRhZTm+GzzsDmIkTJnmigsYfBc60BSo7TBti2OzVfR2iClJNcGhCmkN5YEXWwEBEW3Pi3CV5EYpCVJZrsEBQcbBqUMWaaxpCDLNXGm6U4Ku8lpnNGouAzDlCg1ZJZCCkGSG+JUU3UlVd9GJDm5MqRKgXCKBFupwBR+9K5TzBRMknymJVdoA4t1D5idJNiCe1ZbXOlNGYRF4utCw2e14bHVDzEUhXVnnPD8zoh/9+QGmTI0A4eFqkszcKj7Ngj4+uy7vtoLi7kD36Hm2YyjFGXMwTxElBqeuNLj1FKduZrLkbnie/DsmzeB24OI7mDCdm8CwIceOII7W6e3OmXSwBfPdkgy/YrO+utNZH0r5GglJSXfG8i3+wZKSkpKoChy2tXbB/G8Xm7sas5VXYZhxtcudpmvuvzoA6v82INr/PiDaxyaq9AZJ8SZojNO+K0vPHNwjT/ysQcJM31wWtCuuLOCLUUbWKr7CCFQCmwJo1SxN4652ou41p3SmyYYY6g4gii/rleP2RlEPLU5YBSlnNkY8MzGgJpvE2WKcZJz10oDzy4641XXYrXtsVT3aFddPAsCR7JYc1EG/sEXLjCKMh451qbmOSRZTpIpokxhKOQqriOpOLPCXhuSXN/yM9Pa4HvWbJhXMExyUqWZJDmDOGcUZ0SZQVFIYlJlMBSd/kRpolTTDFxqvoPv2fiWoB+mWLZgoe5RCxziVLFU90gyRZjkxLkhV4b9ScokyVmqehhgox8SuDb3rjV48HCTimuRKkOz4lJxLXKtZ+9P0JtmdGdBXTmF3j5wLbb6MXPVwt89TBWTpEiwnau6TFNFruDhYy2OztXoThO+fqnPv/76VX7l8xf44rkONd8+SIVtVhwudiZc6k755vPXDj6z63Kb62v3+mOvh41hDGGiblqD8Sxd9vVy40bh+jqt+XZpbVlSUvIKyg59SUnJ9xSv1tW8ccNwY8d+OJrw1acvA7AyV+Pv/YUfACFvOi147MQ8j5/rcLEzwbUFdy7XGYRFMdqsuNQ9m1wbtkYxS3WP+apHPVZYSVF0Vj0bNOwOE7qTDgDLDR8pBAs1j/40pepZHJ4LaAU2CzWfROU8tzkmTDO0Ac+WWFKy2Q/ZHUUs1jz0TC4TJkXHWxQzsKhZZ96zbQyKXBn0rHNvbv7IMEBvkhC4xT8JluDAptKaDfVeT7TVvHQBR4LvWthCICTUPJsPn1rgWi8i3ZvS8CxypQnjjFQbDCGp0ri2IFPFqUKuNEmuGMU5VdehN0nRGMaRoDtJqbgWY5mzVPcYxhliZrGz2gzwbMnizJXmPestPj/Z41ovQhvDeitAm2JweBxnnN0ds1TzOLZYJU4Vz2yMsCX85+d3EVLQqtgMwownrvT5U48dAQpHoQ/eMc/vPpdjW4L/tNE5+Mw++J6jN32GN54yxbniPz23y9xsvX2nnfU3S45WUlLyvUdZ0JeUlHxP8XqHbG8swP6fv/I7B7//f/zUB2jX/Fdcd70V8KnT6zxwqMWTV3o8eWWAY0na1ZlURRkqrkV3kjIMUzb7MRhDI7DJlSbPFbkRSEvStGxGcUaah2z1Q87uTZBCcM9qnZpr4dmFfeLnXxgSpYq6b5Okmjg3bA0iJnHK3jhlb5QWoVCpwrIkjoA017iykPxXPBvXtiDWjHODbUHysiaxoJC7KAN3rdQ5uzNmHOdUXInIDZnSpJk+sM28EQMIY1AIKpakXXF5/FyXcZIRJhmjKEMKQ5xrPMcicCz6oSGe6YBsYch0sQnrhglKm0K+g2B3FGMwVL0KuQYpBJYQ7E2LoVxMceJwYW/KfM1BCvj4vSsYpXh6a4TRsDdOyHXh2198Lzn1wCkGYxPF+b2QXGlOLlZoBR7jJKU3SdkdxZzvTJnEOQi42g2J05xnzm0VayxwOXVo4RWfx3UpTZyp79qg93dbjlZSUvK9SVnQl5SUfE/xRrqavmMRJxn/6rOF3KYWuPxff/ThV732vasNTixUWap7fPrMFhf3YyZJERS0OUjojGOGiUBoiRSGSZohpAStqTiSNFekShJ4FlGi+N3ndlloujy43mJ/kqIMLDe8QkZyXeSOxFAU14NpRpTmpMpgS0GY5mS5oRnYKA2BY4iSHNuWeI4o9PtaHFhx2rIo4K8zs5RHKc3+JMVzJKM4ZzAtTgXU7HkWL3X2Z4cAWLLYQElRWEKe3xtj2xbzgc1yw2d3FJOqQqJ0z2qdUZyxNYzQzBJtZxfMtWEcZdhS0PAdfNeiO0lQhuJkpeIW32Vg06p6jKKUK72IrWGM71jsjR2UgR+5f5VhlHJsXvH89ojNQVQ44zgWBkOSGcZJjm0VSbk/8dAaL+6M6Yc5vlMEa7UCh81BhDGCxbrHte6UZ7eG9LoDkjQHYH6hTWeaMD/T/7/WGqx41sEg9HfC69Xcl5SU/JdLWdCXlJR8z/FGupr//DNnCOMMgJ/++APkCOLs1aURW4OIz7/YIc0Nay2f852c83sTxnFOmmucVDJfc8mUIdeGEws1BBDmimmqmK+6CClozttsDWN645THz++jlCHKFAs1jzuXajx5uYfGFLKVmTbeUFhNCgpN/VLVJ8xyAleyO0qYJgpbCgywN8po+hYKqHoWQhjqns0wzkhzQ66K4VgoiuvOuND+21KQqZcKbkcA4obiXoBlCRwp6UcZSTbT7Fsgs5w4zfEsSbvmsuTZ1JziNS93puRKI3npdSWFV33dd2aSIsFc4HBVgiUES3WPvWlKkio8W6KNpu45xGlClGsWGx7H5yvkueb3XtjljsUap5brXOxMZ5+VJtfFoG/Vs1DaMFd1WG9XOLFQ589/8AT/7MuX6IwS2hWHP/rwIcJUMVcr5DLtmodnSy5e3D74/o8cXuIbl3ocm6/edp1cX4MXOxOe2RzyxOU+L+6MS9vJkpKSN4WyoC8pKfme5PV0NbU2/P3f+MbBz/fcfZTffGrrVf2+40zxpfP79MOM9bmAQZiiVDHUysy+Ms41+5ME15IIAaM0573HWlzpRCiTsDdJOLVU5/71BlvDmJ1hzEozIMoUwyjjm5e72JaFZUlaFYcoK8TvwhS6dSNmw6m5wbYFlpa4lqTmOSht8B1JmGq0KaQtviPBQOAIXNvGV1BxDPvTDDkLpLKkYBRnLNe9A5/6aDbEqSk2D6kyGGNwLAFGkCiNUkWnXmmIigY2MlOEUhFmivmqw46CSZyTqGIgVdzweRaHBQalFOuLVaquwzjJaFdccg07o5h2xcWtufSnxUYEDJkqQrXiRFNxbbJc05um1I845NqQ5wpJsaFKco2enUqsNn2OzVdZaQYErsUn71/h4SNNtgYxay2fRuDy289sH8hlxlHGXOCwubFbvDcpWVtfpDOKX5cm/oWdMWGiStvJkpKSN5XS5aakpOR7njhT9KbpK1xG/vUXnuf8Zg+Ao4cWMY73mq4kYapIlWaxXjio5NowihVprslyXVhEiqKLninFcsNnvuLy9LURVd/mD92/yuF2hUxp7Fl6qWUVHfVUKYzRDCPF/iTFGGj5LnctVVmuu1QccGx5UBArbehN08Kr3ZLFwKkjMUCuDJiiC+9YkjTX+K7LXSt1XEugjcGdeejblsCW4FqSumfjOhbSKort3BTFeqoMnm3x0KE271lv0QwclDIow4HjzY0oTSERCguJUK4VWhePe/mnOk0NnWmGZ0nuWy/ur1Fxec+hBqdW6qw2Az54xwInF6sobZjEKfYs/TVRihe3xzMnG4drvZAnLvd4fndMlGrmA3tmQWnhWIXMab7m3STDWmoEnD7SZqlRbODuWqlT8Sx605T5useRCsRxkWJ7aH0R33PZn6ZIwatyqwHtSZwTpW/M7aakpKTktSg79CUlJa/JuzV6Ps4UFzoTnt0cvsIPPM4Uv/CrXz147J13HaY3TbBk/VVdSSquRbviMopy9icx5/eKxNmKY5EqjcSQmZmUxC2K44pnYUt47Phc0Rn2bM5cHXCtOyXJFFmu2eqHxHmOZ1sgiuJaU2jwO5OYNFcoLTBopBQ0bRDSohHYHGr5XOlFGFM42eTaoNEIUUhhkkxhW4IPnZrj7pUmGriyPyVRMVIKHAuyTPHcl77Gs8Dpj7yPzAhcWZwECAkVpzgxmKQZR+Yq5MpnEKaENwRgXcd3JUppjAFjBLYjmSSKfOa8I3hpA2CJlzpLT1zrsz2KCdNiI9SqeCS5RmnDD96zwo8+sMa/+cZVfv/sPrYlUMowCFOuDUIUhtV2wEY/ZBor5msuBmanBC5JrliouwSexZ3L9VuevmwOIh4/16E/Tan5No8en+PEQpX/+ne+efCY0/ce5dhChYWaj365XdDLeCtSkEtKSkqgLOhLSkpeg3dq9PxrbTKuF2dfu9hDG8PDR9sHnfcffWCVzz+3yZMzX/FKxafWanG1F3LvWlaERN2m8Lo+8FhQdOrnqg6TOONCZ0qoFNKA51rUPZvAllzpRhydCxhHGa2Ki1KGBw41GEUZ7apLbgTdSUyaFLIYazbsmuYG1xaEqcaRAikNSQ62MViuXQyWqsIpZqXhkWQ5e+MEIcBocG0LSwrWGwHTVHG1G3FysY5vW6w2g2IYNc5xLUko04P32AxcRkmOljaWZXAtgWNZrLZ8olRxpRvRDGxOLtc5uzMinclobFm40ThSoLXAtQXNwKYzSQ9OFQxFAX89XdeRxS8zA1GqZ8OpKVuDiE/ev8wk1rQqNu2KgyXgDz2wSjOwiRPF9ijhmc0hC3WPo/NVupMUSwgeO9HmfMdlb5RwoTMmzDVVx2a1FeDZFmd3x5xYqKIMB+snzhSfeXaHZzYK96JMaaaJompLPv3lInDMc23+yAfvItaGhZr3moV5aTtZUlLyVlEW9CUlJbflrY6ef70nAa+1ybh+3/vjBEuCMIIr3Sn3rTWZxDn9MOWXfv3rB48/ecchwkxjp4phlNKquK/qSrLeCjh9pMUgTGn4NpuDmPmaR5jlhVRGF6FOtiUZhBmp0rSqDa4NIjJtqHo2oyjjzNUB0yTn3rU6gjpPXx2SG800yclUMfg6jXMyDbYjMUYgKEKdbFnIaHbHCVIKRlFGnGvAEGeGXEM6S2R1pMS2Jdf6EY+f69KqOoU7jtKEcYL0HKbT5OD9TePidKLq2zQDtyiUreK+j81XGEQZaa55z6EmWhu64wTXlUghyJWh5tks1Fw822J/mtKZJCDAK8x+EKLQ3Uc5xOql4l5ikEaw2vSZpjkbg5j5qsc4yfnl/3yeb28NcSzJXNXl0FyV/jSh4lrcuVKj6XvsTxIGYcq3rg0RwjCMM1ZbAdM0Z6nms9oIOLlUY3eU8B+e2sIYDtaPBJ7bHBZDuVWXq70pv/vcDt964RqDSQzA++47ClKyULFfd2Fe2k6WlJS8FZQFfUlJyW15K6PnX+9JwOvZZFy/77VWQG+aMYxSRlHO9iBmteWjlObxb10AQErBqTsOYzk2Dx5u8eChFld64au6ksSZ4szVAQLBe4/Nk5zfZ28Y49k2HzjRIFWarUHEICysJ+dqHncs1VHa4FiSaZJxsTMlTHN2RjGJMpxcrHJovoJnSTYGIVLE9MOUTIOUkBmDUoXdIwLiJCPRRdhU4NrsjlOiJKfmOUySottuUVhU7k8SlhoeFdchUTnPbIQIYXBsyTO//01ezjc//9Jm50/99CdJ8uLzvNCZsD20aQU2UarpTPrMVRwUBong2HyFH75vhbtXGsxVHTb7MV88u0c/TBhHGZ4tCbNCQjNfddifJOSq0PDnyqCBSZYxjvNiMxNlbPcjwlTxws6I3jQjcCWBY9MPU+arLplKuLAXslgvZEUVz0YAvmOz0hC0qi7DacI4yYmzIrG3P0kJbMlqKzhYPw8fbUHx0ZIpzf648Lt/9txL6bB/+Q8/xCcfXHvDhXlpO1lSUvJmUxb0JSUlt+Wt0gC/kZOA17PJuH7fgzDj6HyFJ68mSAELdZfHTszz7LktRrOu6/Ejyyy3q+S6sKC80gtf05Xk5ffwI/evcLk7xbUErlXIXD791BZVz6biWSzVPM7tTji5WGFrELLRi6h6NqeW6yS5pj9NSVo+jx2f4+hcwD/44kUcy6LqWqSqKG49SzBVBgVYBiJlUArqnqRdc9gfS1QuaAQ2wygFUWxWDIYsL9xpUmUQQjCMMlxLosxriMCBTOWkqmirG22KlNphUThPk5ztvmCh5nJ8sUau4SsXulRcmyeuxIzjnKpvc3Suys44JrAl28MEpTV136UzznBsQytwEcawM0kLu0kDgWvx7NaIJFMICaM4R8rifWAMZ3cmfOzuZQ63K1zuTsm04vuOLeDZgmOLNbrjhOe2hjxxuYcxYFuSXphyKKpw50qdhbpHpjStisM4LmYX7ltr8MzmkP1JTJJrjrR9PntdluU7fPTh47Sr7ndn0ZeUlJR8FykL+pKSktvyVmmA38hJwOvZZNx435M459FjbU4u1rh3tUGz4vI3vvjtg8ceP7bG7ig+cCAZx4oTC9VXvY/r97A9iKgHDuMo4+h8ldNHWpy5OmB3GHNkvsody1Uu7k15cXfM0xtDvngWGr6DJQVH5yrM16qcXKgStzR/6aMnWW34/PqTm1QcC1F1GUQplpA4tqQZWOQ6KfzhAa0KPXqUZpzbmdCfFs4vFc9CCEGuDY6g0NxLMBiiNCfJCrnNRGsybbjv+x8lyRXSaM5+/SkATjx6GtsWaCN4bnNIlJlisNcSqNyQYTAmJ9WFHeTuOMZzLI7MV/jG5R5nrg0IXIv1pk+YKTrjFEcIepOUQjQkiNLCO38c5wzCrJDhCKh7Npk22JZgbxxjS4lny2LAVoORglwpEqXZHUUkSiOMmSXp5nQmOb1pyqXulN1hQi9McGyLmmtR8yyymQ/+F852cKwi4feB9SbtissnH1gt1tYoJnBsLl7YIEqKjIIPPHicVvXWQVK34+0eJn+7X7+kpOStoyzoS0pKXpW3QgP8Rk4CXu8m4yDYZ3/KMxsDzu1O2B7GPHykxf/5xecBqPoOP/mhO0kVHJmvsj9OuNSd4juShZrH1iBmse6+4j58x+LofJVvXu4xjDKagcPDx+Y4sVBjrVl403/2+V0u7k+5tD9hox+RK0XNd7AtgTawNYrxXQsjBA8eaaM1/NbTOzx5pU+UKZJcs9YK2J8kCASBbdPwDdNUkWaKDGYuLmCFhe7fcSSWEMzXXCZxTpwXYVSWJWeiGOhNC3/8aa7Jc02qwGBhiZc8GI0QZMY6GIaNspwwVYSJYmY1TzzzxrdmFp0X9ydc3p8UQ69SsNQICByLMMkZRAmWFGQaMqXItaYz0WhtZk44hoprF5abBjxLMk7yIkjKMvhusVHpTxU6zYmlwJaCF/bGLNc8Roki04YXdsY4UrLRD7EsQbvi0p0W0hkpbTIN/TAtLD2BQmBjClH/bM186vQ6UaroTRM++mufP/hM/ts/9v43tPZvJSGbr7pvWYH9Th1mLykpeXMoC/qSkpLX5M3WAL/Rk4A3ssl4YXt0k4TmH/3OM/RGEQCffOwUVd/jcLVIBXUseVBMP35uH4DAadCdpq8Yur3SnXJsoUrTdxjG2WzotoHvWCgDk0TxxKU+m/0IMNhCYInCeWa+6mJbgsNzFQLXRhjDv/zKFYZRxjDK2J8kTGJFw7dYaVV475EWSa45tzfi3N6EMH3J9rEoTQWfuG+JKDdc7kxZrBcpqzo02I6kUbHxbJuluosri6I5V4WWXWqNbQnEDdaTuSn095kuNhDa8AqLRvXSi6MNqJnTjSsLz/rOKCZXeiaRKf6u6duMY0OaKIyBdtVlOI0xQmDbgiw1pFpjZuFRrmPR8m0OzVWYJjmXKJxwlDEIDHGm2Bkl+K7AsyVRqlhf9umME6q+xWLDY2+cMI4zlDI0fEnTd/Fdiw/fuYgUhR//dW/46+vcdyyeOrfFtZ0BAO+/7xCfePjYqy/iG7iVhOwzz2xT8+1X2Ke+GbzVw+wlJSVvP2VBX1JS8o7gjZ4E3DgAm2TqJgvC69xKyvOPn7hw8Pd//KP3Yb3sZGC56Rcd3cUqa62AwQ1Wl68Yum0G+I5F1bMPpDkAX7vYJVeGhZrDtZ4hUwZbwDjJkaOY5brH99+xwIfuWOCrl3rsjxMEMIwycq2Zq7h0xhPGccowyukMI04s1vBsG2EEswBYLFmEWOVac7UXc89qnd4kJcoVgygjyjS21HiZROuMVDk0Axs/tsh1oaeXshisrfk+p3/gMYZR0dU3gJrZYtq8tIHw7UKmcr3JPavXgeKeclM8L9aaMM2xpURKwaF2hUmS49k+YZrj2BaWgNwIMLBY9bmahOS5wpaCum+zUPU4NOcDglPLRT7A+b0pWa5mwU4CISFXYFDU/QpoyULdw5KCimNR8Yp/5o4uVKl5NvevNYpB2YNiN73ladDf/3cvDQb/lZ987DXX743ylpevu1bF4ffP7XNyscbR+cqbXmC/lcPsJSUl7wzKgr6kpOQdwxs5CbguKdjoheyMYlaaAYfaAacPt2hVXCqu9Qopz1Yv5MlvXwWgWfX48fffyf6sYL9+MnDXSp0nLvc5Ol896Nr3pimDMMW1rVte90aJ0PViaqnmFlaYtqAqC5/zLDekeVEa37PapB4U0phG4MycXhSubRGnCktABoRpzjQVNPyE+bpHPXCYpDlJZvCkwHUkqTa8uDdGA91xws44Ik7UgdZ+HGXYlmS+mjOKCt16rg1aK6SQJLnGTrPCKlOAKyCncMgBkBbY+iUPeTgQqyBu+E5u/HtbwnzFoxYU730SZYySnGmckeQaKSRV10JQbComaV641EibO5eq9GOF5wh8x0ZpwzjKCFNNPbDZ6GbMVVziTM02JMWmyrElvis5Ol9BacOJxSrHFmsIDLaUtKsuHzy1CPCqp0HX9ob8xuMvALAyV+MnP3TP61qL1+Utpw+3bl53g+JEaLXlvyUFdhloVVLyXx5lQV9SUvKu47qkoDtO2J8kdKcptiVIlOKbl3ucXKzRrhaONjdKeS5c3TkYcvyvPnQPnmuz7to3nQwAvLgzvqkY0sbwhbOdm+QSryYRqvk2W4OYZuBQdZ0Db3Zj4IFDTe5bbXB+b0yuFGd3xwymGVJCqiBVOWmuSJXGnmnFwbAzitFAu+JQdS3O7U2IlSHRCtcSWEJweX/K3igizjRCgtRFZz3MDdWZU8w01UzijIWaO+vgwyjKCx94URTiepZ0ez0saqnuE2eaYZySm8Iff5YHdYCkeK3cQMUVLDcC3nO4yUY/Is0N+5OEMC02LBVPkGSKrWGMFMwCsjSZMlgSRknx3rURVD2LE4s1dgYRYRYymGZkSpMoRdWzWW54rLcr/NgDq3x7Z8z5vTEAx+arvO/4PPesNgBecfLzsbuX2B7G+I5kfuZcc73L/su/8Q3UTGP0F3/sEdxXKbpvJW85c21wMCDdm6Ys1D1812YYFu5Cb3aBXQZalZT8l0dZ0JeUlLzruN4FrwcOebeQ60zTnHiUMIlyqofsm1Jhrxfsv/N7Tx5c46c+et/B/7/8ZOD0kRaPn9tndxRT820mSTEQ2qo4bM0SaD91ev2WEqHrxdTnX9jFloIjc1XAsDOMWai7PHK0XWj0z3b4fWAY50RJTpgpHEtw31qTM9f6CMTMhUWTKkPF1QgMk0RhtMGWhW79urZ9FKVIWXTb82Je9aaiWwpDmObkyhBlupC/OJI4NVRci1wr6oHHNE4JU4XSRWqtZ1tIAcsND8cCR0r604RpZg5kOJJiMyBnm4KGb1P3bXaGMd1pwmLNw7GKDYehsIrsTgy2JWl4kr1pyt64cKPxHYt+mGIJOLlY40i7wjMbQwwGWwrW2wGH2wEv7o7xbcmppTqLdZ/9aUq74rDcCBiGKc9ujtgZxvzFHzjJiYXaTd/v5iDiM89s8/TGgFwbHjjU4r3H5rjSndIbJ/yDTz8BFFaX//UffuR1rcWXy1vagXvT+uhO07e0wC4DrUpK/suiLOhLSkredVyXFHTHCbYsCrRm4DAIU1YaPs3AoXaDrr1ddfFsye9961LxfN/how8dv+W1NwcRZ64OyJTGsyV3LtV5ZnMIwLObI0ZxyoXOlAfWm5xYrN3Upb4R25K0Kg574wTPkdR9m5WGz/m9Cc9uDjHASsNjmuQYY7h3tcEgzKh7Ng+st0nyoiuvtEFrcCyJkJJxlNGfpGhjCFyLKFWkymDlhvmqJHYsDIpM3axtDxNNnGm0AduCOIMo0zhWoaHPFCRpTtVzsKTEkpI7lmoEjsXWMGJ3mBDmOZ6UCEsicoU0RVf+ekEvZNFt74cZUWpYrHsYA2utgL1xkQUQZRopFLk2GDSuFPizgVbHaIyx8ByJYxVJu9/aGOBIyX1rDZ7aGLLW9Dm+UMW1JbaEh460CRyLjX5IpjX7k4TNfoQAOuOY33p6mz/9fUcPZiwAHj/X4WuXevSnCZkybA4int0ccN9Kg2devHaQUfBffehu1hZunxh841q8lbzlxo3i21Fgl4FWJSX/5VAW9CUlJe86bpQURFlRHC7UPWwpmKt6KG1eIWt4/so+290JAB958OgtZRQ3yieW64Vbytm9MVLCNy/3saXAANoYvniuwzObQyZJjmtJvv+OBU4s1g6uMQozpBA0Aoe5qkMjcHh2c4RvW1iWxLctNgcxgyjFkZJv50OMga1BhG2BRLBU95kmOeM4m1lXSqKZBMcgyJXGsgRpbgpv9kwyV3XZ6hWabQmY65IWQM1a6iafSWRMoZPvhkUC6zhV5Mbg2xaPnZznaLvC58916E1TbFuw4HlFdz7RhcsNxWZBA1pD1ZNYs6I9yXMkDtNU88L2mJOLFbQRaK3xbYE2kiQ32LagIiyy2cmBa2tqnoXvSOIsR2mLuZZLzXdYrLtc7oQMo4xrvQjXkYzilElc6ONHYcb53TG+YyEtgWtLzlwZIDAEjk3Ntzk8V2GrH9KbJoCgXbXZG6W8uDPGFZJ/+7vfOlgPf+5HX707//K1+Frd97LALikpebMoC/qSkpJ3JTd2PKUoitN+lB7oll9eWH3uyYsHz/3Yw7fuzt9OPnFqucaTVwYIIWgGNmutgOc2R0URGWcMw5Tnt0f8hQ+fQALndidUPUmiNEfmKsSZZrXps9GLWKx7PH52Qj/MiHOFJQSBazGKUjINc1WXtZZPdxphS8FCtThtiFLF/iSlGTh0Jgkq0+SAbQkcq/CaDzPNOE2RFjim2BTkxhw40VyXyGheGmi9HhZrtAEj0Bo0ht4k5chchdWGzyTKUQaWGy7DKH3puTdcx7LAc4oTA6WLjv0oLhxzRnHG3jhlqekhkXi2oGkKGVKcaRxLUvMs+qEmyXJybbE7zBmGGXevNOiMEs7KEbkxbA4j9iaSiiuLgv3qgIePzvHeY3MMo4zPPLdDmmtarostBRc6Y5TRzFVdJokicCWTOGejH+HZkkEocW1Bkmu+8exleoNi03d4bZ7337v+htdiKW8pKSl5OygL+pKSknckryfl8uUdz3bVZa0Z3LKw+tyTlw7+/2MPn7jl9S1RZAxtDSPWmsFBl//e1QaPnZhjf5yy2vLZHkSM44ztYUSaayqexdYg4l9/7Sob/ZBnN0cYo2lXPNpVl8NzAf1JRuBYPH1tQDwTuWtjMMaQ5AJjZprywMG1LFqBy/4kRmnNNNFIYai6FqMkQxuDnllXSmMQUpIrg7BmNpKzVFUsg1EvFfA3YgDn+gCsKDr181UHKSW+LdkZxcSpojNJGCcZ4zhndxgR5xpN8doOYNkCYQyGwk0nnUl9hIFBmNKuuty5VOf+tTrXBjGTpNgw7QwTAHqTBEwhUXIsgUYQZ0VSbKYNO6OIqudwpRdS9yzWWwFzFYfNYcw0zgmTnJVmcDCI+tG7FzlztUiqvdJL8B2L9XbAhb0pSmsqTkA2GzjWWpMasKXFoXbA73zlpe78p37wNOYmD59Xp+y+l5SUvJ2UBX1JSck7jj9IyuWtCqtcaT5/5jIAC80K83MNfvuZ7ZuuD4WVYX+asjOKmcQ5C3WP00daNCuF3eH1e2pWCpvJfpix0vQYRjm2gC+e20MpaFUchmFapLxKcIaCYZhRDxzCVCGlwJ7dYqrACI0tDLkuCvu9cUyU5AzCFGOg6ttFwZzkCAFV16HuQZJrUqUOTg58y6IziTFA4EmSTN+ymIdCcmNbAikFrlWYTWYajNZkeU6YGX7tiQ20EEzjlGQWEetKDrzfNUBu0LO690ZPeikKxxvHljx6tEWUaxbrHnXfJtew2vSYqzrsDmNGScYoymlVPHKlmau57I1ifFviOzauLan7DsfnfLZGKVe7IRjDMEqpeg7jOONqb0pnFGNbFlXPIUxyFmoercAhTIrUq0wVm6aFmkfVtQkci1QV25Nhp3PQnb/z2DIffehYafNYUlLyrqEs6EtKSt5RfKcpl6/W0X/ixS2G06Ij/JHTx/jG5d5N13/8XAeAMFEcnqvQnSSc2x1jCcPj5/ZJM81Sw+djdy+hTfFae+OEUVQUoo4U7AwjetMU17FYlB5r7YBxlFNxJRKBJQX7owTHEeSJIc8pPNgxGG1wZz7q3UmKY0kQhcuN0kXhHtgSWwp8R+Jahe/6JMnojGIC18ayBNMkR+lCYuNIC+kUdpA5RfIrYpbkqqEd2FR9h3GUYVmS9WYRspRpg2VJPKMZRRlSyIOkVw14roXAMFKFjl5RdONdWXjX2wIcAUJIHFuy1gh4dnuMY0l8pyim677Nc1sjpITlps8Rp8IwyohTxbV+hFFFom7DtxHA/CzJ92I3ojOO2R0nOFJiScHhuYDL3ZBJnLM9jHn06BwfuWuRa72QrUHEQs2jO00YRTmuXQRUPb89wnMsvu/kPJ1xQrvi8N/95u8frJc/9aOPlDaPJSUl7yrKgr6kpOQdxXeScvlaHf0b5Tbf/8CRV1x/ox8CUHFtvnR+nyev9pmkOdvDCN+1+e1ntnnfsTmOLVR57MQ8NddiseZx/6Em+6OE53fGGKAROEyTnM44ZpoU9zKYZggjmGY5o7AIVfJsQZQU3WLPFgSuxLYEi1WfVtVhvury3PaQvpBgNFmuUUpT8x2kkPSijPGseK/4Dos1j+1hzDRRGAOuXXTc01zjOEWrXIoiWTYzAlsaAs+m6lmstQIkgvW2T6oG9CY5jpRUKzaZ0sSppuLZZFGOMJDmRSqvoJDs5LPAKUUhWdIGbNfCty1avkOiNJYUPHKsTW+Ssj2M2BiEWFLw8NE23UnKzjDCEoKa7/CJ+5u8sDPCG0magUvgSjb6EfuThLpnM0kV0zhDGcN8zePbWyPmqi664pApzSBMibLC2Uhpg2MJokyx2vAIPJsk1zxwqAXGMJ5Zn25u7HJlZwDAh95zlP/7TzxcFvMlJSXvKsqCvqSk5B3FG025fD0d/d+byW0APvHoCV7oJjddv+bbTJOcr17ssjWIiFKF0dCdpnhJjkGw2Y+oezafeWabmm/Tn6aMo5y5qsehdoYUFTxb8uzWiN4kIdMaS0iu9adc7hYFbM2zEEiagY3dkGilGYYZYapYqLvcsVTlzpV60YUeJcUgqyhsK6UUrDR8FusuT14rNOL3rjVoBi7bg4jdUUS74tCueeS5ZmcYUfNsklkibKLAMlB1JXev1BnOEmpXGz6+azGOM+YqPpM4LJJdZ846UoqZ5hyYae2NBtcWzFdd9icJ2UzXYyTYUuBZ4FmSIwsV1poBDx1t0/Ad5iouliy+s4W6i29bHJ2v0Ahs7lttcKUXkmSaj929TN2z+Y0zm1zthUyinDDPMRSe+VXfJkkVtpTEaIQo3I20gac2B5zdG6O04eh8lbtXaty51GC15dMdJ/iuxSfuW2azH/PNKz1605i/92++dLA+/t9//qNlMV9SUvKuoyzoS0pK3lG80ZTLV+voA0yTnG+d2wZgZa7GPUcWaDbjg+trY0hyGIQZm/2wkLc4FsnM43F/ktL0bS51JxyaC7jWizi5WOPEYuHRblmCtbbPU9eG2FJw91KNQc3D9ywud6fkWpPmhR+MMYZWxcUIwamFGs/NpB/rNQ/XkcXgZ8XmWjfCsSQSjSNtMqlxZpaZV3sRthAs133ed3yepu/w/PaQJNdUXMl6u8JmP2ScFEO4+TRFCokrNIFn8b5jbT5waonPfnuHfphxZE4ebGjmax6jNGc0TZkaQ92xEGlOlBRFsxSGhYaHUZpJZsj0S6J5x5I0Kg4VV3JsrsYjR1tFem0v5GpvytG5KoNZUuqLu2N+/9w+vmPRqro8uN6kWXH56GIVx7LoRymff2GP7WEERtCuOhDBMMyYr3gMjeLoQpXlpo8lBONYcXKpws4wJkqL5FzXLiRJz++Meez4PIFjsdoKuLg/5Tef3ubrl3rsjRP6O3vsdot02R84fYwPP3j0pvX1eoazS0pKSt5u3hEF/S//8i/zd/7O32FnZ4cHH3yQX/qlX+J973vf231bJSUlbxNvxAbwdh39fpTyey8OuLY3ojsqfNkfPLmMEOLg+oMw5QtnO4SJmmmrx1zojPFtizhWJLnGEhDnhv1xyude2GW1GbDa8vFnBWJvmvLosTZawzcu99ifJDQ8h71hzNYgOhgUlQKMMXiORStwOH24gcYQJ4pGxeZiZ8oozqk4Ft0wLdJVpURKGEQZUaboh8XmIlGGS90p37jUpeo5TOIcxxLsjBKUKiQ3R+aqXNqfFLp3W1CteAhLcG0Q05+mPLDWYn+ScHKxSqviUvNsvnV5QMWxmEpJ4Nq4lqApbWoeTOOMaaIxBo4v1emHKZuDmMCzWas6rDR8UCBswUfuWuBQu8rV7pTOOGEcZVztRty5UkMIQZoXoV1xpriwN2ZnEPHM5pC5qsuPPbjG9jBmHBUbkihVRKnBEgIpBL0oJbAlnmXRDlwavkMvTJnExTXvXW2w1PCxLcFmP2SjFxKlivVWQD1w6E9T5isOvWnCKEz4yjdeOFhLf/oPPXrT2vqDDGeXlJSUvJW87QX9v/23/5af+7mf41d+5Vd47LHH+MVf/EU+8YlP8OKLL7K0tPR2315JScnbxOu1AbxVR//04RZnrg4Yhhn9/vjgsSfW54kzdXBt17ZIssJ9RUrBXNVhZ2jjOZIos8jywiNda0Pdt8EIbCnojhNcSx5sHk4s1lhvBQgB4yinWbH53754iSwvNNwSUAaMEdhC4DmSy/sRV7oh3UkxlNmbpthWYT/pSMEkVZxcqNILUxAwj4sBUqWo+zZRmvPNK33CJOfEQo2Fukuaaq6mIXet1Flr+Wz2i2I21wbXGJq2zSTO+NwLu9y/1uSPPHqYu1fqBG5xmvC553fZHsQoUxTutiVnBbgisG1su+jKTxPFcj1gruLywHqTjUHECzsjOuNioLc7SbhvrcHZvSkYuHulTsWzsBDEmaLm2bjSYrM/pTuOGVk2R+Yq7I0T/tVXr3DPSp0j81W2hgnPbQ0ZRsmBrOb4fIW1uYAk0yzUPA7NVfjJIy0Cx+Jzz+/yzct9pklOrg1745T5ms9yw6MzSZkmivWWz2LDRyA4/8JlkjgFYHllHuMHB+vjOx3OLikpKXk7eNsL+l/4hV/gZ37mZ/hzf+7PAfArv/Ir/NZv/Rb/5J/8E/7qX/2rr3h8kiQkSXLw82g0esvutaSk5J3Jyzv6N8pwvrTbP3hcJIoB1+ud1hu7+4FrEWWau1fqCCGJsiGDmSSn5ltoA/eu1lhvV/Bd6xVyoHCm6T4yX2F3FFP3LaaJTZQppCycYOaqLscXqrhOISsJHAtLSqJUEeca18C1QYhrF78bpzl13+GelTr7k5TznQn9aUquDUlu0EYRZ4bdUUSY5kyznJrnMAwz9icpxxaqjKKUK72IJFPEdtF5t0Shdb/am3Lvap0wVQzD9MCKMs41likKd2UMSsNY5thSMF91MBhcW+LYgvOdKRc6EzYHEbaUaJNzoZNyoTPFsySH5qpc2Jvg2JL+NGWh7vHi9pitYUScKTJlqPmaF3fGNCqFxaQQhYXmcsPlKxcK686Vls9dy3Xec6jJx+5ZJnCK7+TGE5yP3r1Mkmme2xqRKc1S3ecDdxSypP1pTJxqGoFDnCocnXP14gZQzCf86EdPYwwHw9evZzi7lOOUlJS8U3hbC/o0TXniiSf4+Z//+YPfSSn5+Mc/zle+8pVbPudv/+2/zV//63/9rbrFkpKSdwkv7+hfL9TPXt0/+N09xxbZGsQ8fq7Dp06v39Td74cpDd+mH2ZkKmN/nCCkIFOG3jRlGisW6x73rrX48QfXXlFMVlyLTGm+cLYDBuJM0wws6r5FkheF5I/ct4xC4FmSemDz/NaYimtxtR/RnHnUD6Js5joTFCmrYca5THFhb0IvTA86+NKSZKpwrulNUyazQrM9K7i3hyHG+LQrHst1TXdaPDfUOYPQYBiwM4q5vD+l5lo8uzVimmagNUoZEmXIZ/p4ARQjBYaK53D3ap0H1lt8+swW13ohvWlKpgzC0mR5sQEwgESz0Z8yV3VpVVymiWIQjRknGVGqimAtipyA7jRhFOecWKyy3q6wPYwYRhm+azNftzBGsNGPWG76eLZFs+K+Yg2stwJ++vuOMghT4lzxtYs9tgYx5/fGdMYp7YrDw0fn2B5GfOtbL2JmMbmPPXSK9xxfol11D4avX2s4u5TjlJSUvJN4Wwv6/f19lFIsLy/f9Pvl5WVeeOGFWz7n53/+5/m5n/u5g59HoxGHDx9+U++zpKTk3cWNhfqFzaKgt6Rkaiw63SkXOxMeONTi3tXGTd39y90p/+zLl9jdj5EC2hWHcZyjZsV74BRRrN7t5ECiSFhy7KJTP4lyUlUMlN6zVuPsXohrC6quTaY9Kp4FAjxL4HoOriUIkxzHlhxfrBJGOd/eGc0CkQSWEAhLYDBoXfwxs6I4VTmubbFQ87naCw/CosZJIdlxbYkQRSCUY0k6k5TeNGOjF1H3LXrTjFGYkmuBFIVE6DqeVbw3pYrXO75QY3cQsTeOqfs2aa4YRDnxDU+6nrGqNIyijIbv0BknbI8ilDY0fIfcGHKtyZUm14ZGYPG+4/OcWqpxbm+MZwv6YUqqDK2Kze4wYbMXIV8lwNV3LFaaRWGtNfyj37/IYJqxWHeZq3psDyPMZMy3z28B0G4E/PQnH2Z1rnLT8PWrDWeXcpySkpJ3Gm+75OaN4nkenue93bdRUlLyDme9FfCxuxbZmzmYtFs1JolCAJnSfPXCPutNn2bFPejuB67F6cNtRlGGI6tsDSMMUHUs3nOoxUfuWiTJ9C098cNU4UjBh+9cRAqBNobOOKYZOHz227t8+VwXgLtW6sxVPfrTlFbgsFzzcIQgzhXLdY/ntsekueFqL2R3lBBnhVuPQCCkpO5Jcm2I0sIrUgLCKqwkMYbL+5NCKtL0caUkVZqFqsdKI0Ab2BpEZEoRpppa4JBpzSiZGcsLgWMV3XnfhmiWDpsqkKKQ2RyZr+JIieta+I5N1bNBCOJ8yiQ1s3udJcVqcIRGY5HnGoSg4dvsjRKwDLa00BT2lyvNgKW6z9H5Cuf2JuwMYwZhRm+S0gxsRlHOXNVhvV28j9dDq+JycrFG9ZBNM3BQ2rA3jPif/uFnDx7z9/7yD/MT7z9+y+Hr2w1nfydZCSUlJSVvJm9rQb+wsIBlWezu7t70+93dXVZWVt6muyopKXkn80Z0y5e3++Qz+8mF+QZSgBQSx4InrvRxLclH71k+kEr4jsVH7lzk3O6YQTQmyzVprpAClpseYaJe4Yl//X4sUch8hmFGxbO40g1ZrLtFcNIoJlMGbQwv7k6JMs0dSzWaFZdxknO+M2F/ks7CnwR5rtnsR4zjQn7jOxa5Uhit0VrSrrr4Ts5gatCz+/B9yVzVo+JYjJMcz5J4tsUozvFtzX3rDbaHCVGaM4qh7jsoA3vjmJpnzWwvbYQQZCpFaY0tDbkudPWOhKrvcO9qnY/du0SSab69NeLSfojvWFQ9F2VSPEsQZZpMFUX9Ys3Dcy1Gac6JhSpLdZ8zG326k5SFqoMtBYfaVR451iosK8MiaMoA2mjCTBFlOfevt7hjscaxheorMglutyYqrkW76jIMM2peIZ/54jfPcm6jB8AH7jvMn/3Egwhx+5b/rYaz32hWQklJScmbzdta0LuuyyOPPMLnPvc5fuInfgIArTWf+9zn+Nmf/dm389ZKSkregbwe3fKNxd3F7ZcGYu8/vsihVsDeOGEQ5Sw3PMJM8fi5Dh++c5H2rFO/1gr4kQdWeX57RKvqcni+wjjJeWZjyB2LtZtkGS+/n6PzVb7Q7fCbT2+RKs1c1SVJ88IdZ1bopnnO1jAkyQu3mhd3xkSpxncsLCBRmlrgMohSLEtgNESZmnm+G1xbc7gVsDEIGUxTfMciywonm7pn8/2nFvjqpR5JppmmOfM1F9eW1AOXI/NVNvsRnXFCP0y5vD8lzxW7cYYA6r5Nq+YRJoJUgSsKeY/nwHzNw3dsnt0YgdlgkuZEqcISgmmcM1dxWG547I0TBIrQ5HiOZLnp85E7Fvjcix1saVEPbJZqPg3f4dFjcyxUXU4s1XjocItG4PKtq32+fH6fS/tTtDbMVV3iVCEQHJ6vvCKT4NXWxMtlMzrP+LXPngEKddQv/ZUfedVi/tW4a6XOs5vD15WVUFJSUvJm87ZLbn7u536OP/Nn/gyPPvoo73vf+/jFX/xFptPpgetNSUnJO4O3w9HjxtcEXlO3/PLi7isvvnT6V68GSEsyiDKWGx73rbVIZoOT/WnKUsPn6HyVK90pl7pTcm24d7XBaitgHBda8/est1hvFdaG/TDl8XOFh/1i3WN7ELE/jrnam+DaksCx2OiH9MOMhaqLnPmoT1OFY0kGYcZzWyO2BxFCQJhqPEcSphm5bSOlxKIo5HMDtgDPLQKvvnmlh2dbpMqQqkIXY2EIU8XeOKEZuHRVTCAtorw4PYjSnB+6Z5mP3+MwCDN+/ckNnt8ec13tnhvoTot5gbrvYEnBJMkRGhIFwzAndQ2DacILu2McS6ANHG4Hhc0lhsCRTOOs+LwDh5rvYBCEueb771jgaj/iqatDNIa5isv2IOTpawO+cbnPF17s8GOn17jYmdAZJ0SZpuJJhlHGSsPnruUqH75zkdVmcNP6eK01cV02EyY5f+Zv/TqTqLCp/Jk/9DAP37n6htfkjWvMcySPHp/jxEK1LOZLSkreVt72gv6P//E/TqfT4a/9tb/Gzs4Op0+f5jOf+cwrBmVLSkrePi7uT3j83D5ZrmlX3bfE0ePlxfldK/VX1S2/vLjbGkY8/vzWwfXmm1VqnsW9qw0EAscSfOVC0cGfq7pc60752sUuJ5dqHG4GOJbkwv4US0rO7o7xbMlTmwNSbbjSnbI7jDm3N+H0kRbTJOdaP+RKN2RvnFB1bYwFq82ASZxjjEFKQaY0Ld/mxFyNy/0plzoT4kwxjDOEEAjh4FoWqSqcZjzHIslztCkGU5tBEYgU5oZJrFGz9+ZZAiFgkma8sDPm5GKN57dTMLDS9IgyxRNX+jR9h1bVZRAWr1cM/WYgBJYxSAlZrhjHUHEsbCmRriFMNEmukbIY2pVCsdTwEcJwfm9CzSssJPdGCXFenDb4rkWSKfZGMVe6IQ8eaXO3Z7HeCtgahJzbmdCZJlhScmxe0Bkn/Oo3NjjcDlhrBWRKE2W60OtLyXzdp/0yZ5vXq2X3HYv/8/PP8ZtfOQvAYqvC//gXPvaG1+StNhAvbI84sVB9w9cqKSkp+W7ythf0AD/7sz9bSmxKSt6hXOxMDpxCFuou47joCH+3HT1eqxv/7OYQz5G31S1fL+6aFYdMGwLXojsMD66/0K7yzMaI5YbHMMoYJxlSCI7NV3hxZ0JnEnOlO+X4QpW5mscP3LXE51/c48XtEa4ted/xOUZhzq89cY3DraAYKFWar17o4jsW4yhjpemzPYo5tzdmoeaSa8NS0+dQK6DuWrywO6ZV8ZjEGanSjOMcbQypAoFhmmZ88MQivTBhZxyT5YZW4DCMMpQBpTWZMqjrM6wU9pBaG2quQ821qLgWKy2f1brHOMmJU0V/mmJbgjDN2RhEPLs15FArQMyukCuDZ1OESdkWGOiHKdqIImXWlSBAaYM2YDBEWQ4GxlHGNMnITTGYqwzkxYOIM8XdKw0+etcSe5OUi52Q+9cbfP1S70CyU3Fhf5JyeC5gME04Ml/BdywOtyvsTWJyBetzAd9/auGWWnbPkVzpTllrBQzC7JZa9q39Mf+3//U/Hvz8K//NH2ahWbnl2nu1NV0Ow5aUlLxTeUcU9CUlJe9M4kzxpfP79MOM1ZZPmCp602SWVPrdK2Jebzf+0eNzvLA9ukm3DIUPuyUg04Yvnu3gWJJpkhNGL4XQXe4neJ7Dnct19scJliVYang8dW2ILQUYgzHwzMaQ5YZP3bP55H0rbAxCkkwzjHK605RrvZBcaWyr8J2/0p2iDSzUPB6cq9ALUzqjmGmiCFxJK3D5/jsW+NCpBX7vhQ5fvrjPKAZLgDEGrQy2ANsSSATPbg+pujZJpnEtibEkTWAc54zivHDQEQbbAqUoHF8EWEIwjHJsK+W5jSFhrphmisWqVwRRac2nn9rCtS0GYUaSaZTS5LMiPMzAliAyhWdbaGNQxjDNwEKQG0PFkXi2IDdFcZvkGq2LQl5S3IcUhT7dtSTCs/nAqXnmah62LbnYmXC1O6U3TUhzhWtLklwzDFOe2RhR9Qs3nLVmwM4oJvAsTi3W+NH3rHFiofaKddOdpvTDjG9vjzi7O+Y9h1qv0LIbY/iZv/tpBpMYgD/5sQf4yQ/fc9u192qnT+UwbElJyTuVsqAvKSm5LWGqSJVmse4edDB3BjGnluvftSLmVjKG23XjTyxUObFQJUoL55mNQcTj5zokWaE/H0bZ7L4zdkbJQUFvSYnvOTx0pE3dd3AsSW+acmq5xjMbI6JMMY6LAdLdcczZ3Qmnlmvcu1rnX3zlCoMoY70VcHk/Zm+cFB3kuYCNQYRjS04sVhmFOed2RxhjeN+xNsoURa3v2jx8dI7lRsCdK3W+eqGLAFaaQdHxVQrfFnhOoYlPspyqZ5OkioicuapLULE5Ml+hFbhc7k7YHiXYwpBgQBdJp9MkJ84VgzBlYxChdNG5FxRyn1wZ9qfpgaVkfwqOFAcuQIKiMBd24bSz1qowjDPGcSHs8W1B4Dks1306o5DeNMOWAteGUWpQFGm4ni1wLMlKw2Ou7uNbhRxqGGYcageFzCjXaAPzVZdBlJHmGmMKb/pnt0Ys1Fx+8uF1Fmoec1UHe3aNGwv1OFN85tkdXtge4TmSJNVk2jBfvVmW8w9/60l++2vnAFiZq/FLf+VHXnXtvZqf/Kt505eUlJS8nZQFfUlJyW2puBbtissoyumHCdvDmHbVuaX84TvldjKGW3Xjr79md1oMpH7tYg9tDA8fabM/TtjohTx6rM0LW2McyyJPC3lQrerxyLE2WW6IM3WwQbh3tcEjR1t86XyX+YqDZUlqnsNi3eVjdy+hDKw0fGwpmKY5dd9ioeqyWHeZxIrK7H6PzdX4xqjL9m6EKdQmuLZAacEH75jHdyT//swme6ME35O0chdLCnaGMdNUoQHPsZBCU3EtjDEIKQnjnDBNcCyYO+RzeK7Caivgqxe7jOIMlWT4dnEKkCrNNFEkRpMpjWtLlClSbteaPhv9DEtw4OoSpTkRYpYAW5wYeI7EsyRCCCqejW1LKq5CKcOJxQrdac5izWEY2UhLgdZEedGd1xSbglwbmo7FYycX+OCpxWLeYBwjhaDiWZxarpHkmqu9iIpncWiuwiTOitOO/RDLElzrTRnFGcfmKgzjnPV2hUPt4KbueX+a8tzmEEsKFmoe+5OEsztj+mF6MDj7jfO7/De//DsHa+1v/6UfphK49KYpFdf6jiQ0t/OmLykpKXk7KQv6kpKS23K9IwnQCGzuXKrzgTsWbil/+E65nYzhxm78jYXT9a5qZ5xiSYE0cKUbctdKjQudKduDmEQpLCmIkqJDX6/4PHz0lRuEZsXl9JE2T1wZYElo+C5H5wttdTgLdFpu+qS5Zm8cM0kUBggci2MrVTKtYeblXnFs5hddnt8dM45yKm7RVf76pSJQantYpM8OoxylNb0wp+E7VNzCN77wuvfxLMnGIGaS5Ace84mCi50RS7Nh38PtCnevVPj65QHbg4iaZ3G1n4AoCmtLCOJU4zgSrWEQ5SDAlrJw2JmmxLlBzh4PhctNnmoiNKtNlywvElzTXLPeDrh3vcnesNjU5aoI0YpUIdcRoujOW7L4Pt97tM1K0+e+tQbtqsOXzu0zmKY8tz2i4toErkW7WjjpfN/xOb51bcCzm0MqrkWmFKM4J9wYsDuKUbqQUvmOvLl7PnObFBTa/+vzBNdNKKM052f+zqcJZ64773/wBMqv8u/PbJJkmppvc/pw6w1JaG7U2rdfdhJQUlJS8nZSFvQlJSWvypvdkXwtGcOtElkncc5ay6cfJgzCjFGc0hkn3LfWwHMk28MYbUyRTgoEnn3bDcLJxRqPnZhjf5wcDFYmSvPbz2yDgVxprg0ioizHdyRxJnlua8QgzDg+X8WxJS9sj6hXHKI0J0yLgr3me6zPBewMYz7/YoeabyMpThcsIVhsuqy1fPyZjrwe2HzgxCL/4alNLnQmqFka6vVCdRQrtkcRO6OYNFeEaV5IVxCMk4wo1cVzrg+lAh7g2haulDhSYolCfuRYgkQVdpgvR1Po8h2reFyr4vLQ4TZLNR8byfM7Q4SQHJn3uNyZMM0KPX/dsXBsyfGFGh+6c5FJknN5f8pTGwNyZVhu+vze2Q5pHvHw0RZhomgEDh+7Z4neNOP83gSlwZGSPDcYy+BYhWZ/exDx0JEWkzg/6J63Ky73rTV4ZnNIP0zIteGB9SaBY9GbpvzD3/wmT53dBKBe9Xn/Y/fwjUs9HjjU4uh8hc444cy1AaePtDhzdfCaEpo3orUvKSkpeaspC/qSkpLX5FZpmd9N3sim4XpHfxhmHJ2v0p30MUKwUPf44KlF5qsuDx9p88zmkP9l9py679x2gwBw/3qTZzeHjOOiIH9mc4DRguWmR+DYTKIMx5HsjYrByrmKw0LdY7nh8UP3LvNbz+zw5JU+jhBFd1wVNo/jKKPmWmyPIoQwWFKSZArbloyinN4kY6HmHiTJbnRjtNLYljjoNEtRFNhKw94onrnMFBaYnXGCawkyZQ6605aETN+wEYhS+iHUPYvVdoVumNEIHOI8waiXOvQ3MokLV52qa3P/YpXHTszTmyaM45ya5zBNipmDetUln6QYYwgzhWMMjiV4YWdMkimiJOfifsjpwy0cS7La9NkdxvSmGYsNj5VmQCNwuWO5xsX9KduDiEGYkpvisxIIkkzhORa9ScrhucpB99x3LD75wCo136Y/TWlXXY7MVfgPT21xYWOfv/WPPnfwfj71w4/SizXjOGOx5t4kr2kH7muuvTeqtS8pKSl5qykL+pKSkncEr3fTcGNHfxLnvP/kPA+sNzmxWDt4/r1rxc/XcW15y2td77r2pymIQi//5JU+V3oRizWPfpjRNynnOhNsKQGDNoZhnFFxbfrTjIeOzvG+43M8szHEknD/WpNvb48YhilB08exLUAyjjKkJQlci6pn06w4XO2G9CYJSabpTmJGUUbNd6jYFhNbFZ3qmSbfkTCKclzHIlcGbRVDr9K2cD2QExASfFuiE42QEOcaSwosAUmmubQ/oeE7uI6FM9sI3Ipxash1hjGGzijhPz6zzV0rNY7MVzg5qhNlip1hjCWhXXUJ45woV+SZLjrm04wfvHuJtXaF850pT17t84GT82TKkJvC33Ic55xcsgkci/vXm+yPEz4XpjRxmau6ZNqQKoURUPNs5mvuK7rn662AT51eJ0oVu+OYf/Hly+wOIn7jNx8nm53OPPzAcQ4fWkIIQ3ci6UxSKp59k7zmtdZeP0zZHcasNP3SrrKkpOQdSVnQl5SUvOu4XUf/dn7ixryycL3edb3aDelNE3aHCfvThMCRLNRcxkmO1obuJMWzJXXf5sr+lDjX1H2bcaKo+4JnNgZ88r6Vm2Q7R+YqXO2HKG2IMsVCzaUzjolThV+xWKl7bI0TwlSR55rONEFpMEIRaAspBKeWanSnKZ1RgiOgVXEwAnJlMKIY7m1WbGwh2RhEhX2lgUyBbRfJsrkGxxIEdvFZpErjORZKF0O3HERTvcT1zn5uCs95bYqOvQCGYcZ9aw2644RMaY62AzYGCaMww7HkbG5A05sm+G6Rlvvw0TZnrhZ6+MCRRWqulBgDwzDlM8/tkGSawLV45Fibo+0KSPj25oirvZB2xeHwXAXHuvWm7Pr3/PVLPfqTlG98/Tl6/QkAiwtN/sSPvpfDc1WGccaJhRo1336FvObVfOg3Z05K5/YmvLg75uEjbZQ2pV1lSUnJO4qyoC8pKXlX8vKu6q00zq9GOAtc6k0TUmWYr7tc6U+xpcN8UAw87oxiPEtyuFmlO02Zr3nsjCIkgiTP+cD6PElWWDB+8NQiX7vYZRzn3Lna4OFjbf7dk1uESYJtSQ7PVdmfFJaXClisuYyjjP1pWhTzBpLMFB75UuDZktWGxzRWeI4g0wbPtrBtiFNFrg0116Y7TQGBbwsyXWxelhseSkNvkpJmGkmRJOs6NouzwKlca3KlyBXFRsCAKwAJuSr+GKPpjGJaFZuVhsvuOKMf5cXmggrKQJorlDG4ljVz0YEw1Xzp/D5XuxGLDY/HTszx4KEWmd6mO06IM41jCc7ujPFsi6PzFbaGEdOZRn61FXCoVSHNNCeWqhyZq76qzCVMFVmuuXplk2devAYU7/Uv/fEPcXi+SpJpFmoej52YZ77q3rQRfDVt/PVNX5goTh9p8eSVPmeuDXjsxFxpV1lSUvKOoizoS0pK3lXcqpt6O43zq1FxiyHO/XHKSstnEGY0fBvHktR8m9xojs9VsSzBKMrYG8Xk2uBZNs3AoeY5TOKcds1FiptPDaSAzzy3A8IUXXIpmKaKuapL1bGxhOD0kRZKm0KvbgmS2YSqMcWfaaqouhauLYgyhdbF7w61AlaaPvNVl41BxO4opuJa5ErgCUhyQ6bgxGIV37HYGkSkStOsONQ8m6u9sLCldG2cWFF1BWmucbRGz7TroBECtBH0o4wXdya8sH2eqmezVPe4/3CTI/MVPvf8LqMkn9lVKsaJQGlDzSuCx57dGlLr2rznUIu5qsP+OKE7TVlvBVzan96kaV9rBsSZxneLodZ6UHjvH5mrvqbMpeJadPYH/M7nnz743R/6+MP82Y/cxVoreMVJzmutm+ubhpfbWtbutNkbxXz4zsUDa8ySkpKSdwJlQV9SUvKu4Vbd1Pmqy+Ygoj9NWW68pHHenQ2w3g7fsfjgqQVe2B5xsTMlUwopJbkxLNRc7lltkOSKONVsDyOudKcIAQ8dbrI1SrjWi3Ck4Lip8bkX9g46u/7MZSXJNI8em+MzT2+zMYiIM8VczWOtGZAqw3MbI5Jc49gWDUswCDMwhV684tnYVlFMK23Q2uBIgc4NwyinWVHEuSHJigHawJakUjCJi+55Yf9oeOhIm8NzFTKlSZUhyzVN357dY4IlYBLnWLbEtQSuZeM5AktarDcDJmnG9jAhyzVSCvphyijOWKi7gMCSkrmKS8WW9KNCdhPYgqrvYknJet1lsx/x6TObbPUjKm7xvuJMs9by6YwFV/ohti3ZnyS0Kw6fuG8Zx7KQAj73wt7rspQcjiP+l3/1eyhd6OY/8f338Hf//IcO7FVv10l/LR/6l1uqDsOMpYZPu1JaVpaUlLyzKAv6kpKSdwW36qZ+5tkdap7FJMm50JkwjnPuWKpxfm/C3jhGiKLbHc0Cpl7OiYUaf/r9x/hHX7zIKM1YafjUA4fVus8H71zgiy/uc6jlst4K6E1T+tOMesXliCU5vz9hGGcMwpSr3cKT5noYlSWg5ttc3JuQG0OuDUIUv+9MEtoVl51hhC0l662ATGmUKoZc33Ooxe4kZhrnVG2bkSl81FNVJKm2qoXLTJJFTJIcEISZwhhYqnv88L1LdKYpnWHKSsOlO0lwLYuqW3TcV1o+K3WP3/n2DnNVl75IkRJyJViqeyALq8hKYBOqwh9faQ1CkiuFMZKNbkSmNUobVpsBni243Jvyg6eW6IQp394c0Z8m7I0TbAlJrtkdxQzClJWmz0rDZ3sUM4lzru5PeWF7RMWxOLVc5/Hz3YPN0e3sTG88pbGl4Kf+5q+x0y108x+4/zC/+t//BPXgtYvu22Ug3OikUybDlpSUvBsoC/qSkpJ3BS/vpjYrDo+f2+fkYpWj81VGUc7euBi83BvHLNZ9GlWf4SRmqzchzm7tSNIMHI4uVGlXHeaqHlobdscxcarxHElnnNCqOFS9orN9uF3hs8/vMolzVM3QD4uCWxvDp5/aQpuimF9tBjx+bp8k19yxVGMUZwc+6kt1wVq7gmsJTs5XQQp+/9w+u6OYbpiyUPOYC1wcS9ILU4QpwpU0gjjX+LbFKM5o+A7zVbdw3bEld6416IU5V3sh13oRL3bGxQCsAYPCsSwyXcezBHNVjzRLWKr77I1jPMdiEGeYmVXktW6IY4PS1zcMOVqD74LnCsJQ40pJs+IQJzkV18ayJetNn69f7JLkmppnI4BrvRAoZhL604Rr/RAMzNc8pkleuAhZgpNLNV7cHtEZx/zUe48cyJj6YQpAu+LedEpT9Sw+/dlv8fkzlwFYW6jza3/9j1EP3JuK/uvr5+VDr6+nYC+TYUtKSt4NlAV9SUnJu4KXd1O3BoWkZm0mczm1VKMR2DxyuI1tS5brPvPNKsNJTH9UDFzezsHk0v6UCx3Dw0fbdCcpnXE8ix0tWvzjOOeB9SaZNjx1tU+uNWvNgEmqUCZmEuVME0XNt1lrBnTGCZMk5+RiFccSaGNIc4+vX+pijE0zcLlzuc7+NEFagrN7E9ZaAR+7Z5mtQcQwThmHiq1BhGMLJonGGEOmcqaxIZI5woBXdzFaMF/1WG36XOmE9KOUUZQyTTUWAimL0w2ExLUU37oy4OLehMW6xzRJibUhVwbXMYSpLlJXhcC2BFFWDM6meTH461mCpm/znvU20yznKxe6fPNSDzCstQMudiZMU0XNdzhRc5mmis4kxRaCzjjGGFio+zR8hyu9CWFi0Y8ykkzRGWf8869cwbcltiXZn6T82e8/TpIpvnR+n1QVG4RJopDAYt3jX/7HJ/k/fudbADi25H//738S13O5uD/hzNUBkzgnUxqEwJHiloFQr6dgf7NzGEpKSkr+oJQFfUlJybuCl3dTF+sugdNgMLNM7IwLKcvxxSoXu9Pi50YFNrsopZlGCfN17+B6NzmYHG7x5NU+T1zp4dsWq82A5YZPZ5xQ8W0+cucirYrLU9cGfP1iF9+WjOKMLNfsZoqVps+xpQprzeAmDX8zcFhpBvTDhO1BhGtbVBybXGue3xmhtWGl4aGU4aFjTVYbFTYHIVGsMRi6YUJ/kqIpAqOmqUagaVVcELAziDm+WMNow+XulIbvAC79aUqea7LZexWANhrbsdAGxokCkSKlJAoTbEuQpBpLwjhVuFYR6hSlGimhOQvm0hhWmgGBazHNcsJEobUuhotnjjprLR/Xlti25KGVOl8828GzBZ5tcWqhSpxrsjBhsx9ztRvhWJJBmDNJcgygXIu67/CNyz1qns3WIGIU5yzWXXzbZn+S8MFTC3zt6Uv8H7/zxMH3+bf+4g+zEcHZb17lSjdkqe5zdL7CF852APjwnYsMw+yWTjllwV5SUvJupyzoS0pK3jW8vJvanaavkEs0K+5B4V+pvFTA90YhR5YaBz+/XMJT920u709xLMGxhdpNQ5KeXbjF/PqTG2wNIyZxxiRRGGM4slDlvcfmmKaK7UHEaqvo0LerLqcPtzhzbUCmFHGmWay5xErxxJUBmdLcsVjlzuU6QoR881Kfh49oNnsxdd+iN0jxHYnvWCS5KvzlBfhuMcAaeBautPAdyTDMGEWFV/wkUcUQ7A0RsIJCvx9nRaffsiyyTOO6EseSuLbEcyRxWrwnIcCSEsvSWELQrDhoU6TWOlYxL7DZj6h7Nu35CtMk42ovwrctlhoBWsPVXgQGKp5D3bNpVRwG07SQvjgWd6zUOLcz4Vo/xLclUQqaIiF3teWT5YYnrvQAOLZQJc0NSmcoo3n86av8/X/1ewfv72f/6PvpyYALF7oHpzi2FKy3gtn9CqQQZSBUSUnJ9yxlQV9SUvKGebUgnjebG7upt5NLrLcCTh9pMd+sHjzv6Sv7nL5j5eDnimvhOZLL3ZC1ls8wzFhrF1KMlw9JSgFfOr9PP0xp+IVdpRRgW5KVms8dy3V2R8mB5eL1zcV6K2C+WoRKBZ5dJK/2QpTWVFwb37U5uzvBEnB+P2SjH5LnhvmqyzTNyXNDxbcwiUHkGilACkmuDZ1xgm9J9MHQrWAc5/RnDjvXA6KY/VcZMMrgWgJjDI4tMEbQqDjYUnBsrkKSF44+iTL4tsSxBVrDWjtgEuVkWrPerrDWCvid53YYJhmJ0jiWROni2nGm2J8mjJMMbTw+eMciV3tT4lRRdW2U1qy2fO5ba3J8rsqvfnODmm9hjGGSKqQQTKIcROH841qCszsTDs9VGEY5C67hF3/1i2R5EYr1kx+5j0cfOsXXLvRYbfmMo+LkZGeUcGpZzdJwi4TfzjgtA6FKSkq+JykL+pKSkjfEqwXxvB3cSi4RZ4ozVwc0ai/d1+ef2+JT77+T5sxysDtNmcQ5FzsTLnYm3Lfe5IOnFgFe0fVXhpmXu0t3krJc9zi3V1hKvrA7JteGD55a4McfXEMbbtpcqFlVrbVhFGfYUhBnRRGO0lzYG+HaFp4jiGcSl71pglIG25YEUhYadqWxLIkyhlGU0wgcmhWbnVFMs+LwwHqLi50xidKoWXfe4qUsWAm0Kza2ZZEqhSUlC3UPx5YcaRVF+kLdpR+mPL0xwrUEYapQ2lD1LGquzZ0rDR4+2uK3n94mzQ3M/PKlUKw1fVoVh7O7Y6apYr7m0gwchlHKg4cbTBPND9+7zNcu9YrifmbP+dDRNqMoRRhBnEcHGv7Vlo8tBZYU7I8TXtwZcaTp8S9+/ctMwgSAe0+u8oc//jDdccJC3SVMFfXAwZkkNDybNNc8sN4EUVh6vt502JKSkpJ3G2VBX1JS8rp5rSCedwrX5TRHb5DYPHN5n08/tcVH71lmvurytYtdpBB86NQCW4OImmcxXy1Cjl7e9Y8zRbvistTwOLcz4sLehFwbHNsi14Z+lJLpWTDUy+6l4lpFiJNVDGZed62xA8nOOGZ3lNKq2gyjHM+W9McZQoCUgoePtBiEOZaAoSUL2YsUCANHFyocmQv4yoUuNdemFTgIBJYAR1JIbgQ4ArQGyyq6+0s1j0ma0/Rs7l1tkGvDSsPn0FzlIF13sd7hcmdKZ5Lg2JJJXFh6LtaLOYJxlPOew00u709JM8VS0+ejdy/z1QtddkYJbd9msRkQ54bN7REb/YjlhodtS37wnuWDDdNCzeOnHzvCb3xrE8eyuP9wE9+WLNR8AqfQ4V/sTHAtiyjN+MIXnuTq7hCAQ8tt/oef+WEGiWJ/mjJXcRnFGTuDmLVWwJ9+/1GWG8FBN/71psOWlJSUvBspC/qSkpLXzWsF8fxB+G52TK874ri+f/C74WBMONuQvP/k/E3v4+i8vOl9vLzrf30gd28cE2UaJHiWRcN3WG54rLcCRlHKf3hqCzOzrbweehWmivcea/O1S13O7U1wbQtr5u2ujCwSXW1JbzpicxDh25J24DJOc671QhbrPofmAo7JCkIK+tOUVBWhUtNE0ap4WBK2hxGDqCiSR3FOP8yY7TEwAixRJM7uThJOzFd4z6EWh+YqfOK+5YNThOuBSY8dn2NrEBKlisv7UyZJjhSSqudwaX9Cu+qgDNy9WmezH/Peo22kgLuW6/hO8VnaojjNUcZwx1KNpbrPmasDPnb3Eu8/MY8Q0KoUn8+dyyMeOlIk8KqZbWiY5Dy/M0YKQZxmfOVLT/Hsxd3iPhsV/uZf/iRz9YCKX8wn1DwLz5YcW6jyA3cvHYRK3fgdXl9n74ZNaUlJSckboSzoS0pKXjevFcTznfLd7pheL8DHcYbnOSRJxs7egNWGf+Ab/3rfR5wp+mFKlhf67tVmQMO32exHCAFxrolyTXeS0g7cg6HYTz+1iWcVzjA1z6ZddajOdPuTJMeWgjQ33LvWIEwVV3ohvUlK1bORligsGjPNmiXxbUk3zJiv2th1n2mqGEcZjmXx3mNtOpOU3WFEkioqNZtDcxW0njKIikAt3y6GQpXWtAKbh4/OsdL0SZVmcxDz7OaQVOkDq84wyXn8XOHmM4wyklzxrWt9FqoOIPAdi3GcsztIWW54PHpsnmc2hxyZrzBf93hua8BGL6JZsblvtcWdq3UsIbjYmdzk1X9909OuugzDjJpXfCc1z55p3wFj+N3//CSXrxbFfL3i8v/6mR/GWA5xpuiMk+JztSWpLal6Np59+/X4Zm5KS0pKSt4uyoK+pKTkdfNmJGe+WR3T9VbAT5xe5xeOLvH02U3G05hvX+1y6tAc7RuccF7tfWwOIj7zzDZPbwwJ0xxtDL4jGUQG2xYMo4yKa3P3ch1LClZnnvjaGP7Tc7u0Ki7rbZ9cGZ7fGVFxbQZhSiNwgMLmfqMf8f6TcySZIs4UtiVoV116k5TFqst83SNOFXXPIs0NnmPx/pPz3LfWpOpZPH5un7nAwbcE3TAlyRSeLVht+qy1oR9mGA01z2ZvEtMLM750fh+NYbHqcebqgFwbmoHNzjCh7ts8fLRJkms64wStNeNUkeWa3352hxOLVZTW5NpQ8y1+7MF17llrcGlmFbpY96gHDraM6Ywzfv98h+1xzGrDZ3+SoIEjc5WbLCRf/l3ctVLnict93n9ijv/5n372oJh3HYt//PM/yQfuP3Lw+IpnMUkUaW441K68Yv28/OTnzdqUlpSUlLydlAV9SUnJG+K1gnjeqHTmzeyYNisuH3/4GE+f3QTg8tY+/5cPnMB3rNf1Ph4/1+Frl7qFc0yuGYQZ3szishW4NHyHH7hziZ/+viM8fr57kCr7zSs9MqVZb/tEqeZaPyTLNe2qR3ea0J2kHJ2v8OjxNme3Jzx+rosU8IGTC/TDlFwbpBDcvdrg+HyVJ6/28RybR462uG+tyXLDJ8oVXzq3zxNX+lRdm2GcM1dx2R7GYCQrTZ+7Vuo8szUgU4ZhmGLJwpqyM0loVxyu9SOEhLuX65zbnbA/KYrcTDVZqntc64cYU8h7PEcipZgV3S4fvGOBMFNsDyPuzerctVLn2c0hu+OY/VECotjg7I0Tzu+OmcQ5xpjCBz/OODpfZRLn9MOUwLH42N1LBwPFAM9tDvnb//SznHlhAwDbtvhLP/URrEqV+ap78N3FmeI/fXuXudn8w43r57qt6ctPfr7bm9KSkpKSt5uyoC8pKXnD3C6I5zuRzrzZHdMfeugYv/BvvgTAuSsdzlwd4NlFQf9qgUJhqtgbxgzCFNuSNIJC4jFNcu5YrDJf8zi+UMWZDaseXygK741eiCUFR+YqhLOQpmGUcXL22Gs9QZarQi+uwLYlWa5xHIt+lHL3Sp1P3r+KAb69PWIS57z/5DwPHGrhO5IzVwc8cbXPhb0J7arLfM1loxtxcX9CmGkCR5CoHMsy/ODdiwyilL1hQuLk1Dwb4QsavoMloJ9E5BrOXOtT9x0ypRlGGWd3xgDUXYs4VwgkNd/hcDsgShW2hJrn0Kq4N8loPEdy72qDMClOM9oVj8WGx1Y/QqliU2CMYRBmdCd97l5t8MWzHZJMH6yXdtUlyxX//N99iTPPXwPAsiQ/9on30ZxvsdGPiFJFe1bAx5m65fqRgtue/LyedNiSkpKSdxPy7b6BkpKS7w1ulM7MzTTRX7vYJc7Uqz7vuoynWXHelI7pe06+5D2/sd173fdVcS2qvk2cabQ2hKmi5jssNjyOzld55GgbKQSZ0vzGmS3+5Veu8PTGgH6cgSkCnrYHEVf2p1Rci5WmR+AWKbTHF2toDZv9kCRTSAmjOGN7EPPFc/uEmeLu1QY/+sAqP/bgGp86vc6JhSrfuNRjaxDj2pL9aUJnlHB8oUqr6jBJFLlSpMrQn2ac3wv52uUen7hvhUePt5mreDQDB601gzDl4v6EcawxQH+ac6U7PTgteeraAAR89O5lmhVvlhpb2HRKIcgVjJOMa90pm4OI/WlKzbcJE8XVXlgU5cqw0Z/y3OaIjUFML0o5tVSnGbhIAcYY8lwRJuqm9TKJM37qb/4av/2Vs0BRzP/Qxx7h9F3r7I4SdoYRUrz2+lGGV5z8TOKcKFUHz2tXiyHg3jR9zfVQUlJS8k6m7NCXlJR8V/iDSGe+k47pMEzZn6bUPQvbsm4r8fF9l9WFBtv7I85f28eX5qCwe63XeehImyev9rnaDfEdi4W6x93LddbbAeM4p+JZ9MOMF7ZHCGNIleFbl/s0Ky7zVYfdoSbOFfetNehPC3nJiYUqR+YrCAHXeiHjJGd3lGIJgW1J0lxx5tqAe1YbBycIcaZ48mqfL1/Yx7Us9L6hN0651otAGCquTcWVVBwPg6GvU8ZxUSBv9iM+eMciT10bEGUKbSBTOakyNH2b+ZrLxf0JaW6ouqC0JEwVwsAgzji5WEUC+9OE7UHMatMnyRVfvdhFG0OYqJtlNEnOvasNBmHK773QIVOaO5dqjOOMZ7eHfOjkAtPUwbYEqdK0Ks7Betkbxfyxv/Fr/MevvAiAY0v+xKc+wNFDS8SZZrnusVDzDtx7Xm393K5zf+PJT2lfWVJS8r1CWdCXlJR8V/iDSmdeTf7ycp640ufXnrjGzjAmzBT3rzW5d61xy4Ks4lo8cu9hfvOLz6G05ne/fp4f+/C9r3pfNxZ69683uWOpGHpdqnt88NQi81X3QL/9789skuWKMFNME8XeJCFVioZvk2pNxbO5b61Jd5LyzOaAfpixPexyoTPFty3A0J8N10ohuGPxJW35ajNgcxDx+LkOXz7f5Vo/YqHu0ptkjBPFXNVhOM1xHMVqOyBOcoaxxhjwLMFKM2CjH/GPv3QRVxRprjXPxndd2pnGkqLwyXcslM4RsyCnum+T5BpPGWq+zXLDZ77uEsY54yQnM4YfuHORc7sTxknOnCrmC671OoX1pYGKa/PIsTkOzwUMw5zPv7DL9iiiO0546Eib5WbApU7Ihb0pDx9pM41S/rdf/SJnXizmHWxL8uf+yIdoLbRZbfjUA4fuJGG56d/yu7ud1ejttPKlfWVJScn3EqXkpqSk5LvCmy2duc4wTPm1J66xPYyZJBmdccJzW0N2BvEtpTS+Y/GX/vDDBz8/8dzlV72v68Ow24OIum/jWRarTZ8/+sghPnV6/UB7357ZLdZ9m+1RQneaoYwhTAoPeMcSjOMcpQ2+Y7HS8jEIslxzaT8kyQvdeKYNudIEjkXgSLaGEec7Y754tsPFzoSvXeyyP05wbcFirXC/SfOcZmDx0buXeOhoC2Gg5lggBJ4lsCWsNAOmSUaY5EyTnMMLFRaqHoEjOdSqsFz3URrGYY7n2vi2RcOzcW2J70haFZfTR1qsNgPaFZs41ViWoBE4GAPX+hGeI1lt+lRcGwx0JymtwGW54aOUYRJnDKYpX7mwzzhVHJuvUvMcvr09QivD6SMtAL58dpe/+8/+003F/E/9+PtpzLcZRjm9KOPJqwOu9CImSTHs+nq43rn/ofuWef/JwiLzOrc6UbpRklNSUlLybqLs0JeUlHzXeCuGDfenKTuzYdXNQYRAkKSK5Li+rZTmRx89zom1Nhe3+jx7YRup8tte/0Jnwtcu9rAk9KYZR+crJJnGt29+P9fdfO5dbfL79X160xSlDSvNANeWKANzVQfHloVf+iSl4lqcXKzTmSSstXySXNMMHDxbcmKhwt44IcoVR+cqjGb2kmmuWax7nNubsD9NSXONUoZq1caWgm9tDLEsyQdOLXDm6pBBlCKlZJzkqAFM05yGZ2O04dhilRe3R0Rp4YMvgV6UohH4nsUwLgZn2xWPu1fr3LVc48y1IVd7EXuThPWmT5ZrXEuglCZVBteWPHi4ydVuSKIUh+YC5MzCc5zkjOOc3jRluV4MEWdK89S1Ab4rWGsGjOdC/vqv/Gc6/QkA1cDlkx9/lKWVBYwxOHYRpnV0rsLh+ZvtLm/stt/OWel2TjelfWVJScn3EmVBX1JS8l3lRunDdzP99Tp1z2Ka5mwNYowxxJlC2RYvbo/46D1LtyzIhBD8iR+8n//xf/99jIH/3+ee5U/+8GkQFHITU0hzAJ7dHKKNQRjBMEp58mrC+0/O31Z77TmSh460iTJF07d58toADDx6rM32MKY/TZmkOYt1l8BpkGQaWwoudIph2ThTtCoudy7X2J8keLbF1iCm4ma0qi6OFJzZGHC1G9KdJMxVHeq+TS/MePzcPqM448N3LnF0rgYCvnmxj6jDIMxYrDoIAYFn4zqS3jTj1HKd5YbP1V7IHUs1LuwVkp+65zARgsC1MRie3hjy9LUB+5OEtXZRAPemOb4rqfsOUkres1bHkYI409R9G0tKvnyhy2LdxZKSJFMs110qnoXRBksKNgcJ9cAhTg1Pn9/mf/j/foZJmABwaLHB3/9vP8UXLo2QAhq+y2Ld5ZnNIctNn4bv4Fo3p/q+mg7+tWQ1pX1lSUnJ9wplQV9SUvKm8GYNHNqWxanlOnujBKUltmWoexZCFFaRt+N6QQ/w//nNJ9k0AWFSFOQnl+ocagfctVInyTQPH21zpTtlFOVIwcwy8vbaa1sWQU5Jpjl9qAVCoDWcXKxx+pEW7cAlcC2605THz3Woeg6uFeNIieUVKa5fv9jnYjcisAWuJbCEZD3XHJmroJRBCmhVHCwEmTIobTi1VONSN+TF7RF1X3LmyhAhYKHmMV91qXoOp4+0eW57xELN456VBvetNXn8fAchoOHbtKsegWuTa8Px+SpSCq71QmJtqLkWm/2IcZzzgTvmeX57zDjOafoOP356je87MQ/AIEz5wtkOx+er9KYJu4OEYZLxyNE2J5caDGLF89sjtgYRS3WPP/rIYb545iJ/71/8Z9KZROqBE0v89v/00yy0qsRik/1xwloroDNJaAYO4+ilJNnrnfTXKthfa1C7tK8sKSn5XqEs6EtKSr7rvJkDhxXX4oH1Jv1JSq40tlW4slQ9i29vj9gexrfcPNx3fIn7jy/x7KU9Ll7bZ68zILEcopmW3Xck2WbhlR4mivvWmlzrhtQDm/Wmf/C+NgcR/WnKcsO/qUj8vhNzKA3zVRfPsYhShRSgbghLChyLx47PcWFvTNWTRLOC03MkFdfGtYrXuNqLqTiSw3MBGnjv8Rbf3rS4sD8lyRUiNyDgzMYAWwiu9kP2JglaGz54xwKTRDGMUvbHMbvDGM+V1FyL+9aaBK7FRr+w07QtQa4Kd56qa+F7NpYQpMowCFPSzMKSgt404enNAe3A49hChWPzVXozHbvvWLi2RZJp7liqYck6W4OIb1zucaRdwXcsHjnSZqXh8djxeY4vVPm3n3uG//mffhY9s6v56EPH+Hd/44/TrBWf8wdPLfK1i91i8xA4/NC9K+yN41d00nvT9FUL9tcjq3kjw9glJSUl71TKgr6kpOS7zpuZ/uo7Fh88tcgkUTy3OURpTSOwWW8Xg543bh6u38t1yc+f/Ph7+O/+4WcB+MaZczz8vgeoWZI41TR9hyTTPHp8jhe2R2z0QnbHMUIGfO6FPY7OV7nSndIPUy50JozjnDuWanTGCdoYvnqxd1NAEnBwQpEpDULgSMEoTvnShR69aYJnS6ZJIbnxnYzk/9/enUfHcZ73nv92VVf1vmEnQHABV4miSImSJcpaTVtSvN8ovs71qlzHtjR0xnI8x7KSjBTnxJavPOf4TJzYVs5kLF9fX8vjmfg4lrUxWqhIpjZKoLgIpChwAbE2lt6Xqq6q+aOBNkACIEASABt4PufoD3Q3Gm93l+nf+/bzPq/pULIclkU1CqbNUNbAtByyhoXqKr+WgF7ujNOfLhJPFTBHS1ksyybs0zkxnGNzS4TjQ1k642kCXjfLI35eOzHCgd4UXreK3+NmTWOQowMZHGB1nb/SCrKt3s8rx4comha1AZ1iyUZxKWQKFusbPFy5soaArlY+z6Jp0Z/MoyhUgrNtO+Xe8gWTgGcsUHtZXevnmw8/zY//bW/l8/zT913GI/d+DMdVPoXWr/9h5bwznmF/d5Ku4RweTeGqVTHa6oOVa+hsgX0mZTVzURYmhBDzTQK9EOKCm+sNhy1RH5++ZgUjOYNkzuSldwdpDE1cMe8czNIxetLqWMi+66Pb+O4vXiSVKXDk3R7CyxqpqYmwpj5AsmBSF/TQVhegJeLlt/t68OoqzREfvYk8rx8fZlVdgOaIj1S+xEC6QMjrJuh1k8iZDI6+1t5Enuc6+tHU8kp/1K+x+0gcyy53ddl3MsFwpohHUzEtm5xZIjtSQldcGLaDW3ExmCmyPObHobzi79ct+pNFIj43lywLMZAs0p0oUHJc5RNZvRo2EPSoODjkjRI+XaE+5KWtLsDxoRyWbaMrXgYLBi1uhZvWN3Bla4yRvMFHtzSTNWz2n0ownDFYUePnpJMllTcJedxE/RqNYS8rawIEdLXyeXb0pfjtvh6SeRO3qrCyxo/tOHh0lY9saaE3ma8E6eUhjVv/t5/xakd35XP8+n/ezkNf/gC9qcIZ5Vm1AZ2OvjS5olW5hjr60rTVByu/P5PAPl1ZjfShF0IsFhLohRAX3HxsOPRq6mhLRZ1DvakJkwe/R2X/qcSEMPhK5xA7NjbwwRsu49EnXgfg5NEult9QQ22gfIrqhqYQUC6TsR1ojpRbVIZ8Gsm8ScRbPgRpXUOQsM/N+zY0kMiZ/OzlExRLFpljFkGvAo6LFbV+NjVHyt9WFMt95Z2TDvF0EZfLRcyvkTNKFM1yrbeiutCVcstJt6KwujaAYTlsHD1gKpk36RnJ4fdq9CWLLI/5SOVNcEGuaNGgqRRMmyuWRdnQFOJwfxqAdwYy2I6D40DA6yasuBhMl1fXTcuhJeqnMVx+nW11ATp6UxzsTTGYLpIzLHBBU9jLR7Y2M5IzK5/npc1h/vvvjzOUNWiJlvvldw5m2dISxrSgN5nn0mUhdLfKvsOn+OC3/o2hVL782elufvS1D3Hn7VunLM/avqZ2Rt/yzKQOfrKyGulDL4RYTCTQCyHmxHxtOJxs8rChKcTe4yNnhMGhrMGOazbw1EuHGEnlGOgbZFONznVrajkxnGPv8REO96XZ2hqd8A1DOm8S8WkTSkhifp2agM6rx4cxLZv+VBGzZJE1FBpCXoazBm/3phjKFunoS2HbDvUhnaLlAA550yJdKIdTj1uhNuRBwYVhWTgOrKz1o7vVcreaULneflV9kOvX1hLQVU4N5zjQk6QvVcSnqVi2Q8Yo95zfdaifouVQG9DLpTnpInUhD+ubQqTy5Zad2WKJWEBna2u0HNxHHe5PY5Qswj4dr2ZhlhxKtkPXSJ6gx81Vq2toqwvQnciTzJs0hj24cFEX1DlwKsWqGj8bl4V5ZyDDa8eG6Dh0jN88tw9ntKRn9bIo//p3n2Tr2iZg6vIsYMbf8pxLHfxcloUJIcR8k0AvhJgz87Xh8PTJA8DhvvQZYbA2oFMT8nL79Zv4xeOvAfDkCwfYvKZpwmr+a8eHWd8Y4kh/muGsQW3Iw2XLo7wzkKY/VSAW0LmmrRbLgaJps6k5zGCmiFtx4zjl7jOFks3xoSzpXAnfaK38oe40IY+KTyvXwTuOg0crH+Y0nDEIeTR0TSHmL7d9vLQlzMmhHMcGM/g9brauiNIQ9vHetXXsPhLHsG3qw14agjpDmfLJsstr/BwfzBHUVUJeDZ9HJeZ3c1lLFE1RWFnr52Nbm4n5dUbyBu0nE5WSkw1NIUayBhGfTmtNuf/+4b4UhuUQ1N3kihYdvSna6gLUBXTcios3TibwayojOQPdrbCi1o+iuOgZTvOr373Kia6Byud029Vr+MX/fgex0B/KWqYqz4r59Tn9lkf60AshFhMJ9EKIqjfZxsbJwmBkNCQa5qU88R8HSKTz7H27i6dePsJH3rsRr6aiqi5e6RxmJGsQC+hctboGr1uhvSuBadl43ApbW6O0RH0UTIug102hZLG6LsCxoSyODa8eG6JoOahAyXZIFy0KpoUHBzNnEwvofPjyJva8O0y6WKIp4uXUSA7DtIn6vNQEPbzZleBgT5LGsJeeRB5VdYEDIytM2k+O8NapJMWSxZr6AO9pq+Vof4bGsBdVcVEX0olnDK5cGSSZK1EX0rl9UxP2aMcdr1Zu+fj0oeFKe8hEzuRAd5KQ141p2SRyJnnDIlu0WdOgE/JpBDzuyiq2T1dZWRvg3XiWvmQBy3HQVZUTQzmyyRQP/3w36XSu8hm9Z9sGPvWxa8hZEBv32Y19w/LiO3FOjeQqk6W5bispfeiFEIuJBHohRFWbamPjVGGwJerj41e2krnrVr74vd8A8D8fexWXz891G5rY350EoDHsJZEz2X8qAUAybxL2aqQKJu1dCZqjvgmhMFMs8XZfmmzBpGQ7uFzl1fvyZKOE7YAyesiTprjwaxoNIS8Rr8Xqej8u4Gh/hoxhES7Z1Id03jgxwrHBLGvqA6iKQvupBG/3piiWbCzbZjBTpCeRpz9VZG1jsLLaHPJpZIsW2WKJZVFvZTIzNvGBqU/EvWpVjELJ4bVjQ/SnCqhq+f7BdBHLdiqr2DnDIuLX2NQcJlMoEfVrnBjM8OgTr/HmW52MVtjg8+rcctNWtl2ynIJlT9qBaDpz+S2P9KEXQiwWEuiFEFVrso2NL74T58b19cT8+pRh0KupfOYDm/npv+/nxTc7KRomu55/E6/3GtyqyraVMUJeDYDOeIZiyaZQsihZ4FahYNpnHE50fDBL50AWM6CTKpRXt4czOTS3gktx4XUp+D1uor7y8yZyRY4NZcsTgf40zujG1UTWIKCX/2nWVAXbcQj7dDxulb5Unni6SNDrJlu0cOHCq6mM5ExMyybm1+kczDKSNWiJevHr5TKdsU2r40+3HcmZk56I21YfpCXqw4VDOl8i6FPZfypFe1eCa9pqKqvYRbO8qXYkZ7A85qfjWD9PPvsGI8ls5X1eu6Ke7ds3s2pZlE3N0Uq7y854ho6+dGUsmUIJxeViecw/75tTpQ+9EGIxkEAvhKhap29sHF8u0xD2VlbrJyvJyRkWn/rQe+g41s9gIktX9yC9Xb18+IZNWLZDTyLPGydHKNk28XQRr1tlTUOQ7kSe0ujJrWO8mkrEr6G7Fdxquf3kQMbAsG00FHxuFVVVUF0uagM6Ia/GsaEcMb+OZdn0pQpEfRrLIuXgPZAu0hDUqQl4GMkZpPIGqqLgAPUhD/2pIieGsrhcoCoKyyLl8H7t6hpeeGcQ3+gm255EgdeODVPr13nxnTjxtEFz1EtvIs+78SybW8P0jBTOOBE3Z1i4FYU1DeWe7zG/h4FUgRvX11fG+ErnEDmjxHCmyAt7DnK440Tl/dA1le/8+fv41Ae28Ju3+rBHD66qdCDqTlb2LBwfytEZz3DDujrZnCqEEOdIAr0QomqN39gY8Wu8cWIE+EO5zCudQ2xtjdLelTijJMevqzTGAtz58ev4Px7ZBcBjz+7jzh2XkrIVXjo6iOU4XN4cJVMYwbQsskaJxpCHuqCnchDTmJhfZ1NzmP3dSbxuBbNk49fd+DUVRVEomiVW1gS4eWM9bbVB9vckifg19p1M4vO4KZg2y2I+bKdc1rKuMYRbVUjmTU6N5LEd2Lo8yqUtYX6+5wSWY4MNQa9G3rQIetzomorjgEdXOdiTJJUv0RnP4NfV0fIaFyO5cs08QKHosKk5Qm+iQF1Ip60ucMb7Wh/ykMyZNIS9xPw6yZzBs2/3kzctnFyeF555lfhwuvI+rGiu4eufuYUPX72KPcdGMEyLvlSBkuOwPOY7owNRc9RLZzxDTyLPylpl3janyoFSQojFRAK9EKJqja9hH0gVUFwutrZGCXk1NFWhP1Xg90cHMS3njF7jAKvrAiTXLOP92zfy73s6MEsW//Xb/8oX/vRmTg7l8Wkq78bTBD0KedPF+oYQtu1QG/KcETi9msrtm5cR9LrpHs6jKgqtNX66R8pdajyam1V1foolm6OjATZvWuhuFwrgdbvoS+RZNnpoVtBb7srjGe0g4wKifp2cYdHWEMSyy6fFKoDicrG5JULMr+PRFPa8O4SquHBRDq5PH+zDckBXFQaSBQZSRTa1hMudbnIGYZ+bq1fVVILtVBtGh7IGz7zdz/OHetm//yh73zqGM9qPUlUUrr/2Eq69Yi1pS+H5jgFcuGirD+LTVLy6yo6NDXg0dUIHomTOZFNLhKBHPefNqbMN53KglBBisZFAL4SoamM17CM5gxeOxMmNdpSJp4toboWiZU96iuyeo4Mc7Elh2Q5/dPMWhoaSvHmkl6FUjn/6H89y/U1XknE8vNmVxKMqRAPlw6VW1QUmBM7xYbIl6uNjW1tI5Ax2H4nTNZRjIFOkWHKIBXS6EwVShRI3ra8nXfBybChLvmiRLpSwcfDrbmqDHl47kUBTXJOGzaJpMZguYgOXtYQ5NZwn4tNoGd2ke1lLhFc6h1FcoLgUXFh0xrM0RrwMpQ0Mq7wp9tZNDaxrDPPasWGMkk17VwLP6J6A8e/r+Fagv3nzFL/bfYB/e/4tCkWzMqaamjC33LiF1S21HOhJ4VZgeSzAe1aXJwnLoj6Gswa2M/VkoTagn9Pm1NmGczlQSgixGCkLPQAhhDhfY6fGXr+unohfqwTF69fVEfPrxNPFSsj3aApvnBhmf3cSxQVu1cXJ4Txf+fQtbFxZD0A2V+DFF94kk8ljWjZ+j8plzRHqQx52bGyoBMbuRJ7H9/fy2L4eHt/fS3cij1dTaYr4uHp1DT3JAqm8SWPEQ8SvkS6YKC5wUT5JFgfa6vxc2hymMeSjPuShayTH/lMJgl43ydGyoYJZnqQMZw1yhkVTxEdj2EPJguU1Plpi/koJ0Jr6IFeujFLr1wEHo2QT9mn0pwqUbJuITwMHnjrYz09ePMZQxqAx7J3wt8a/r7GAjset8K//0cFXH/pX/p+n9lbCvNut8p92bOV//fwHWN9ax6nhHF5NoSlSLh164+QI6YJZ2cg7NjEYmyx8ZEszH9y8rDIZiQX0SU90Hc4aE8Y1/r6xcF4T0Cd9Daeb7ECpTKFE3pj6d4QQ4mInK/RCiEVjsjaEHrd6ximyLxyOo6kuYn4PlmMzmC6SKtrc9V9u5ls/foKRRIZsNs8bL+/jhpu2saklzKaWCCO58mmzntHQOd1Kb9Sns6EpiKa6sB0Hn67SlyhQMG0cHHoSBVTFRUuNn1RvmlV1fhI5E4VydxvF5ZrwjUJHb6rSFSbgcePV/ES85dNrIz6NQqkc+oeyBsWSQ1ciz6nhPGsaAlzaEmHPu4MUTRujZNMU9aHiYjBj4HErqEpoys2o+zv7+csfPs2/7+2s3OZywfYta/jT26/k41ev4PnDg/QnC2RCJVSXi5qAh+aYl4PdKfpThcoG5fHPO5PuMmdbfZ/paa/jv0WRA6WEEIuRBHohxKJyelCcrHTkQHeSw/0OXSM54ukiRskCF6ysCXD/l27nb3/8OMlUjnw2z0u7X+f6tg9wYihHPF0AB2IBvXKqasDjRlVcE8IklEtjAh43EZ9O1jCJpw1W1we5tClEulCiPqTj08IUDAu3Ug6vdUGdVMHGtGxsxyGeNspdYU4lJpxki+MQ8WkUTRtVKbd93HWwf0ILyBvX17P7cBzTcmiJeGkMe8kbJQIeDbfqIuhxE/DaDKYNkvlym83xwfZI1xD/7Rcv8shT+7DH7QC+pK2RT95+NZvXNLKyNsBrxxOMZA3imSJGycGruVhZ68eyHa5pq+Gm9fVE/WeuvJ/N6aUxPck8z77dz0e3NBPx68DMTnsdmxSMZA00t8L16+rkQCkhxKLjcsZ2NFWpVCpFJBIhmUwSDocXejhCiCrQncjz233d7DrYj2nZrG0I0RzxMpwzWFUXwC4a3PeDx0iMnnSqayq3v+8Kbtm2jrUN5QOcipbFsXiWdL5ELKAR9Gi0NQS4elUN7V0JTg3neHcwS9G08GgK6+qDfPDyZpqjvsrkYihr8ErnEKeGc3Qn8tQEdCJ+DRcubNuhJqhzWUuEvcdHqBktRxkrQbl1UyMOVPYNnN4CMuTV6Enkae9KsL4xCC4XeaPE8aEsLlxcuTLGUMYgni6wpj5YOaG1r3+E7/7iJf6/Fw4x/v8dVjVF+d5dH+BD29dTMG0UFzzTMVAJ3L2JPIWSRSygY9uc92bT4azBY/t6qAnoZA2LfV0jxNPlXvm3XbZsQtnTVKv4BdPi8f29nBzKMZwtMpg2iAY0/vyGtgmfg4R5IcTFaDYZV1bohRBLztjm1VLJJurXqQ16sGyn3OJRU7HdPh762kf54S920/5OL4Zp8W9PvU4+meYv/vP1RP0a//FOkvqQjmnb7O9JoqsKIZ+b5w7Hsa3yKa4F06I2oNMY9lIf9lZOlwUYyRooLtixsYFjQzle7RykWLIBcCiXtQD4tMlXocc63hRNe8oWkGOr5OsbQxzpT6MpLtbWB9HcKjiwstbPx7Y2E/VpvHqoiz/79v/Lrtc7J7xX4YCH+z51Pff8ybV4Rw+88unlwD2+3GVZ1Ed/qsBVK2uI+DX8morllEP1uQTmsdX3nmSejt4UR/oz+HWFN08mcBz49LUrJxzsNVk4zxkWI1mD4WwRw3JoinrpTZY7H/3JVa3EAvo5XD1CCHHxkUAvhFiSYn6d5pifZM7Esh3i6SLLa/zs2NiA7YBPV/nse9dw9/d/xyNPtgOw6+XDHOrs46M7rsATDtNWH6Rg2qysCaC5XeSNckeZrSuilGxGD7WyaQp7KY6eLjuUNXjyQB8Hu5NYtk1NUCOeNrEth1hAI54x8OsqN66vJ5kzae9KsHVFlPaTiUlLRDyawomhLM1RX6UFpMftoms4R01Q5+rVNbSfLJfsNIa9lcOdblxfT8jj5qlX3uG/PfoSr3X0THh/GmMBvvaJa7nrI1cRCXrPeP9OL3c5OpBhIF0AF5UZyVSdemZirBvO0wf7eHcgi09TWFsfxrAsDvakSOQMmiK+ymMnmzT4dRXNrTCYNmiKeskZFvUhnaJly8FVQohFRQK9EGJJmqp94lh99pj/+xsf5eYtK/lf/s/HyRVMugeS/OgXz7OxrQnd2oqte1AVF5qiEPG7OZWwGckYlbr4xrCHZMGkLuhBccGL78TZfyqBYVr0p4u8emwYx3G4Zk0tOcMikTMIenwTNsXGfPqkq9BDWYNM0eLdeJZ341k2NYfZuiLG0YF0ZYU/P8nG0UMnBnno1Q5++dx+eocyE15vW3OMb3zyOj5/+9bKivzZ3r/+VIGBdIH6kJcav87uI3GAyqRkqraQZ+sf3xL1ccuGel4/Pow2+g3IYKa8R2EmtaJeTeX6dXV09KboTRaoD+nE/B5ifl02wQohFhUJ9EKIJWu6co0xLpeLz9++le2bWvnMd37Nax3dAHR09tHR+SRr25ppXbeSUMDH230pGkNePLpKnctDyXaoC3qpC3q4pq0Wy/lDqU2+ZGFYNoZlU7Js9p1MsGVFlKJpUTD/sCl2bJPn6avQY5tGFeD6dXX0Jgp4NIWjA2lyRYvlMT/xdJED3Uk8msKx/iQdR3v491ePcOTEwBmvc+vaJr75X97LHTddiludWUfjsfevJ5EHFzSGvJiWjaa6ANeESUkiZ6C71Up4n2n/+KaIjytX1rD/VPkbCst22Lw8Ssw/dbnM+IlCW12QP7+hjd8fHaRo2cT8umyCFUIsOhLohRBL2kzaJwKsb63llR9+gV89f4j7/q9n6OwZAeBoZw/vHutlWUs9q1YtoyHYTNCjsmNrM35NJTfaE30sgMYCOnnTZihtkhnt5x7yurEch3f6s7TV+blseZRMoTShvOb01ezTWzbqtQpdwzlcLlge8+PVVJySya43jnL0eC8v7juOZU9c13arCh+5bj1f/vA2br16DcWSTapQOmPFfLqV9HLtvq/S7z/q1zAtB3AqkxLbcdh9JE7RtAl63WxtjdLelZjR4U5eTeX2y5oIelRGsgaxgM716+qn/Mwmmyi01QdlE6wQYlGTLjdCCDFLhmnx8G9f51s/3c1QKj/hPp9P5+rLVvG1/1Ru7bjvVHJCuAT47b4ennirh4FMkYaQF5fiwu2ChqCHL960hkuWhSeEz8lCam1A5/H9vSRzJhG/Rk+igOayOHJ8gDc7TnH4WB898dSk479kZR3/9Y+u4LMfuJzGmiAwdbeYma6kj3+cadmVGnqPppApWihQCe9u1YVRsmkMeyd07vnIluYpN6oWTOusgXysq834iULEr8kpsEKIqjSbjCuBXgghztFAIsdd//g0T770NvmCccb90UiAta31bFnbRKwmzOVrGvnE1SsBeKsrwS9eOUm2VKIu4CHkddNWH+RjW1vOWB0fC6kBXeX4SI6WiJcPbGzglSO9/PrlTt7qHKC7d5D+eJKp/klvqQvxqR2b+dT7N7NlTSOusSJ7pg7COzY2TGhNebaAPD50F0cPuVJc8MKRwQltN/vTBXRVoWQ5FzR4j291OdOJghBCXKykbaUQQsyDhqifH3zlNh67YTNPvPIOhw530XmiD8sqt59MJLO8nszy+oHjACiKi++uqOe6TS00xoIEFJV8rkTW0AjXBGkORDg1kCSTN8jkDdK5In2JHC8dGWA4U+DQiUGGR9Kk0zkK+eK0Y1MVhSs3LKNtRSPrVjayZd0ytq+tm3R1faoTV4dOa0051UmsY8bKl8av1ns0BdOyJ7TdjPn1aTv3nCs5BVYIsVTNWaD/9re/ze9+9zva29vRdZ1EInHGY06ePMndd9/Nc889RzAY5POf/zwPPvggbrfMM4QQUztbd5T51BL18fnrVvHRrc0kcya7DvRwtLOX5/ce5eC7fVi2XXmsbTscOj7AoeNnbkq9EELhAMuaalmxvIFNaxq5qq0Os+SctU59qiBcG9BnHZBPP+E1ni6Cy4Xfo04I7y1RH82RC1vXPlXnooW+RoQQYq7NWXI2DINPfOITbN++nX/5l385437LsvjQhz5EU1MTv//97+nt7eVzn/scmqbxne98Z66GJYSocjOt6T5fM500jD0u5teJ+XVaaoMEfav4wLUbePP4MM8dOImrWGB4OMVAPEFvPMn5Fjp6PBqxaJDrL20hEPKj6l56CjahgI+IT2NZ1EtvokA8VWRdY+isq+vTtfCcbUCearX/2tU1WA7UBvRKa9CzbUg+l4nbTDoXCSHEYjPnNfSPPPII99xzzxkr9E888QQf/vCH6enpobGxEYAf//jH3HvvvcTjcXR9ZvWOUkMvxNIxX5seZzpp6IxneOnoIMa4dojAhHKTkZyJZTksi3pJ5kw0xWF1RCOTLTKczjOUytM/kuWNY4MMp/Ll16EohP06m1tjBHw678Sz7OtO4dZ1GmrC2KrKZS0R/uqDl5AxLJ7r6OfXb3RTLNlc0hwmkTUIeN1sWR4BxzXj92qqjacz2ZA6/rGnf0Y2EPSolS43M5mEzdfETQghLlZVUUO/Z88eNm/eXAnzALfddht33303Bw8e5Iorrpj094rFIsXiH2pHU6nJuzgIIRafqVZ/L+Spn5OVjIwvVRlbNR5IF/jvvz/OSM6kPqSTypcA+ODmZRNWiIeyRiWYji83GW+6zZwO8Ni+HrZeZrD3+AipQgnFBX+0eRkRv07ED3+yrZXlMR9P7O8jni6SMy1W1vqxbcDFjFfXp1oxn2lrz7HHjl/V93tUMoUSuaJ11tKfmX4GQgghJlqwQN/X1zchzAOVn/v6+qb8vQcffJBvfetbczo2IcTFaT42PU43aRgL5yM5g4PdSYazBm31QXKGxUiuSNjnJm9YxEaDOcysBORsryvodWPZDh+8fBldQ3maoh6uHf02AMoh+uYNjVy6LMyv3+zGthxaawPE00X8HpUb19cT8+vzFobHv+ZCyWLXwf7KZGUmk7D5mLgJIcRiMrPjAEd985vfxOVyTftfR0fHXI0VgPvuu49kMln5r6ura07/nhDi4jG2+hvxa3O26XF8uC6YFvF0kaDXjeKismoc0N1kihamZZMumPh1lXjawKMqk04uvJo6IeTP5nWNv69o2rQ1BLhlY+MZz1UwLdJFC7eq0FobqAThomnjdc9/LfnYa4759Unfz+kmYVN9BtKtRgghJjerFfqvf/3r3HnnndM+pq2tbUbP1dTUxKuvvjrhtv7+/sp9U/F4PHg8nhn9DSHE4jPXmx6n2iBqOVRWjRXFRVPEQ9egjQsXfYkCsYDGdWvrzmk8BdPCp6ns2NiA7XDG6zrbax6rNx/JGrwbz5DKl1jXEJyzto2z2aw6284zY889F20thRBisZpVoK+vr6e+vv6C/OHt27fz7W9/m4GBARoaGgDYtWsX4XCYSy+99IL8DSHE4jSbmu5zMVmALpjWhLKYmN9DMWLTFPIQWRbi5o0NtNUFZ/23Jtv8OdkhSFO95vH15o1hL+lCiYF0gbDPXdmouxAbhseb6STs9Ofe2hol5telW40QQpzFrEpuZuPkyZO0t7dz8uRJLMuivb2d9vZ2MpkMALfeeiuXXnopn/3sZ9m3bx9PPfUUf/M3f8POnTtlBV4IseBOL5PxaipbW6O4VRf96QJhn8bq+gA+j5uAx43HPfvAmcwZPPt2P4OZIjUBnWTO5JXOIQqmNePnOL3efG1DkDX1Qd63oYEPbl52QTvDjJ88zHa8Zys7muy527sSEuaFEGIG5izQ33///VxxxRU88MADZDIZrrjiCq644gpef/11AFRV5bHHHkNVVbZv385nPvMZPve5z/F3f/d3czUkIcQSNNYxZjYheTLdiTztXQmMko0LKFk2HlVlecxPrmhNG2wnG0N3Is9v9vXwcucQp0ZyZI1yF5hMoUTemPlYx+rNexN5BjNFehN5YgGdZVHfBQ/Ck21Wne14F+K5hRBisZuzLjePPPIIjzzyyLSPWblyJY8//vhcDUEIscRdqF7mp5e1nBjK8m48y/Xr6s7ahWWyMdQGdF7pHKJoWNQGdPpTRSDB8pifuqBnVjXvXk1lZW2A148Pk8ybBD1u1jbNvvRnJuayy9B8dDASQojFas5W6IUQYiGdT3nI6U5fPW4enRT0JgrTdmGZagwjWYNMocSyqI9NzREaQx6GMgb+0Q2ks1lZL5gWJ4ayrKoLcHlLhJxh8dv2Xn7T3k13Ij/r1zqduewyNB8djIQQYrFasD70QggxF8a6pBRLF66X+emrx4mcyabmMEGve9rwOVU/dZeLCc/XGvOzrjHER7Y0E/HP7JTs0/9G1KvR3p3E7QJVgcE5OoxpLrsMzXUHIyGEWKwk0AshFo3x5S0eTcG07Epo7k3k8egqiuvcnntDU4gDo4dJjQX42oB+TgdGRUe7z4y1cqwNeUZXp2cX5sf+hmk7vHwkTm8yj1tx0VYXpDnqIz1agz4XrT3nKmzPdQcjIYRYjCTQCyEWhfHlLWPhGZcLv0elM56hL1WgKeLjmY6BWdXSnz5JuGp1DW11gQndb6YyXQ/201ejAYazxox6u5/BcVBVF5qqkDMtTNtmMF2kNjS7enwhhBDVSQK9EGJRmKq85drVNfzHO4N4dZXmiI/4LEpRJpskdPSmaKsLzHhcU/W0HzuYKRbQz2vzbs6w0FSF921oYCRn8m48TSJn4tVnX48vhBCiOkmgF0IsClOVt+iaiu1Ac8Q361r6qSYJsy1jGV9GcsbhSaMnoo6fNMym9n3sdSdyJg0hDyXb5pIm9Zzq8YUQQlQn6XIjhFgUpuqSEvPrlaA/XUea0xVMi6Jp4dGUWf/udM95etebF98ZZCRnnHP/9dNfd13Qwy2XNEqYF0KIJURW6IUQi8ZUXVKmqmOfyvhVdNN2wHEuSCvFyVb8+1MFPG7lvPqvS3cYIYRY2iTQCyEWlcm6pMwm8E5WN+/3urlpfT1Rv35eYXmysqBYQGdra5T2rsR5TRqkO4wQQixdEuiFEEvCTAPvVHXzHvf5B+aput60RH00R32ywi6EEOKcSKAXQohxptpcez7tH8d3tZnq2wJZYRdCCHGuJNALIcQ40/WOn42xEJ/IGbR3JSZtSZkb3fg6k/aZYxMCCf1CCCFOJ4FeCCFOM13N/UzC7T5UewAAC69JREFU9dim2pGswbvxDPUhL+sagpWWlGOtKmfSd/58etTPB5lsCCHEwpNAL4SoOvMRIicrgZlJuB6/qTbgcZPImrhVF4oSKne1SRd46Z1BSpZz1r7zk23QnU2P+rl2sU82hBBiqZA+9EKIqtKdyPP4/l4e29fD4/t76U7k5+XvTtZD/pXOIQrmxH7x4zfVRnwadSGdeNognTeJp4voqoJRsmfUd36yDbqz6VE/l2b6fgghhJh7EuiFEFVjIUPkTMP1+E21lu1QE/AQ82tkjBIRv8Z719YRC+gzOqxq/HNdiIOtLqSLebIhhBBLjZTcCCGqxlQtJfOGdU4lKLMp3Zlp95vTN9WuqPXz0Suaifn0Sj2+R1NntOl2ug26C127PhfdgIQQQpwbl+M4zkIP4nykUikikQjJZJJwOLzQwxFCzKGCafH4/t4JNeURv3ZONeXnUv89m98pmNa0feXPdv90j71YatcvlnEIIcRiNJuMK4FeCFFVLkSIPJ+JwWyC+Om/dyFW1C/kpOZCONf3QwghxPRmk3Gl5EYIUVWmayk5mcmC9PmU7pzLAVAXciX7QpcdnS85EEsIIRaebIoVQlQdr6YSC+hnDZJTdcSZz82mF3oj78W8UXYmCqbFcNaQbjhCCHEBSaAXQixK0wXpsc2mEb92XqfBzsSF7gYzn2O/0Baq5agQQix2UnIjhFiUzlaaMtvSnXM1F91g5mvsF9LFfkiWEEJUM1mhF0IsSjMpTZlp6c75mKsV9bkY+1yWw0jfeiGEmDuyQi+EWJSm6+E+36phRX2uW1BK33ohhJg7EuiFEIvWuQTpuTqw6WLuBjMf5TAX0wRLCCEWGwn0QohFbbIgPVVoX6oHJc1XK8xq+KZCCCGqkQR6IcSSMlVoX8qbNuezHOZi/qZCCCGqlWyKFUIsGdO1slzKmzaruRWmEEIIWaEXQiwh05WWLPVNm1IOI4QQ1UtW6IUQS8Z0rSxllXp+2ngKIYS48GSFXgixZJyt08piXqWeq+49F1q1jFMIIS4mEuiFEGe1mELW2UL7Yty0WS3de6plnEIIcbGRkhshxLS6E3ke39/LY/t6eHx/L92J/EIP6bwtpdKS6TYCX0yqZZxCCHExkkAvhJiShKzqVy3de6plnEIIcTGSQC+EmJKErOo33Ubgi0m1jFMIIS5GEuiFEFOSkFX9qqV7T7WMUwghLkYux3GchR7E+UilUkQiEZLJJOFweKGHI8SiIxsVF4eCaVVF955qGacQQsy12WRc6XIjhJjWYm7luJRUS/eeahmnEEJcTCTQCyHOSkKWEEIIcfGSGnohhBBCCCGqmAR6IYQQQgghqpgEeiGEEEIIIaqYBHohhBBCCCGqmAR6IYQQQgghqpgEeiGEEEIIIaqYBHohhBBCCCGqmAR6IYQQQgghqljVHyzlOA5QPh5XCCGEEEKIxWAs245l3elUfaBPp9MAtLa2LvBIhBBCCCGEuLDS6TSRSGTax7icmcT+i5ht2/T09BAKhXC5XAs9nIpUKkVraytdXV2Ew+GFHo64SMh1IaYi14aYjFwXYipybSx+juOQTqdpbm5GUaavkq/6FXpFUVi+fPlCD2NK4XBY/ocmziDXhZiKXBtiMnJdiKnItbG4nW1lfoxsihVCCCGEEKKKSaAXQgghhBCiikmgnyMej4cHHngAj8ez0EMRFxG5LsRU5NoQk5HrQkxFrg0xXtVvihVCCCGEEGIpkxV6IYQQQgghqpgEeiGEEEIIIaqYBHohhBBCCCGqmAR6IYQQQgghqpgEeiGEEEIIIaqYBPo5UiwW2bp1Ky6Xi/b29gn3vfXWW9xwww14vV5aW1t56KGHFmaQYt4cP36cL3zhC6xevRqfz8eaNWt44IEHMAxjwuPk2lia/umf/olVq1bh9Xq55pprePXVVxd6SGKePfjgg1x99dWEQiEaGhr4+Mc/zuHDhyc8plAosHPnTmprawkGg9xxxx309/cv0IjFQvjud7+Ly+Xinnvuqdwm14UACfRz5hvf+AbNzc1n3J5Kpbj11ltZuXIle/fu5Xvf+x5/+7d/yz//8z8vwCjFfOno6MC2bR5++GEOHjzI97//fX784x/zV3/1V5XHyLWxNP3yl7/kL//yL3nggQd444032LJlC7fddhsDAwMLPTQxj3bv3s3OnTt5+eWX2bVrF6Zpcuutt5LNZiuP+drXvsZvf/tbfvWrX7F79256enr44z/+4wUctZhPr732Gg8//DCXX375hNvluhAAOOKCe/zxx52NGzc6Bw8edADnzTffrNz3wx/+0InFYk6xWKzcdu+99zobNmxYgJGKhfTQQw85q1evrvws18bS9J73vMfZuXNn5WfLspzm5mbnwQcfXMBRiYU2MDDgAM7u3bsdx3GcRCLhaJrm/OpXv6o85u2333YAZ8+ePQs1TDFP0um0s27dOmfXrl3OTTfd5Hz1q191HEeuC/EHskJ/gfX39/PFL36Rn/3sZ/j9/jPu37NnDzfeeCO6rlduu+222zh8+DAjIyPzOVSxwJLJJDU1NZWf5dpYegzDYO/evbz//e+v3KYoCu9///vZs2fPAo5MLLRkMglQ+Tdi7969mKY54VrZuHEjK1askGtlCdi5cycf+tCHJnz+INeF+AMJ9BeQ4zjceeed3HXXXVx11VWTPqavr4/GxsYJt4393NfXN+djFBeHo0eP8oMf/IAvf/nLldvk2lh6BgcHsSxr0s9dPvOly7Zt7rnnHt773vdy2WWXAeV/A3RdJxqNTnisXCuL36OPPsobb7zBgw8+eMZ9cl2IMRLoZ+Cb3/wmLpdr2v86Ojr4wQ9+QDqd5r777lvoIYt5MtNrY7zu7m5uv/12PvGJT/DFL35xgUYuhLhY7dy5kwMHDvDoo48u9FDEAuvq6uKrX/0qP//5z/F6vQs9HHERcy/0AKrB17/+de68885pH9PW1sazzz7Lnj178Hg8E+676qqr+PSnP81Pf/pTmpqazth9PvZzU1PTBR23mHszvTbG9PT0cMstt3DdddedsdlVro2lp66uDlVVJ/3c5TNfmr7yla/w2GOP8cILL7B8+fLK7U1NTRiGQSKRmLAaK9fK4rZ3714GBga48sorK7dZlsULL7zAP/7jP/LUU0/JdSEACfQzUl9fT319/Vkf9w//8A/8/d//feXnnp4ebrvtNn75y19yzTXXALB9+3b++q//GtM00TQNgF27drFhwwZisdjcvAAxZ2Z6bUB5Zf6WW25h27Zt/OQnP0FRJn5BJtfG0qPrOtu2beOZZ57h4x//OFAut3jmmWf4yle+srCDE/PKcRz+4i/+gl//+tc8//zzrF69esL927ZtQ9M0nnnmGe644w4ADh8+zMmTJ9m+fftCDFnMgx07drB///4Jt/3Zn/0ZGzdu5N5776W1tVWuC1G20LtyF7Njx46d0eUmkUg4jY2Nzmc/+1nnwIEDzqOPPur4/X7n4YcfXriBijl36tQpZ+3atc6OHTucU6dOOb29vZX/xsi1sTQ9+uijjsfjcR555BHn0KFDzpe+9CUnGo06fX19Cz00MY/uvvtuJxKJOM8///yEfx9yuVzlMXfddZezYsUK59lnn3Vef/11Z/v27c727dsXcNRiIYzvcuM4cl2IMlmhn2eRSISnn36anTt3sm3bNurq6rj//vv50pe+tNBDE3No165dHD16lKNHj074Gh3KK3Mg18ZS9clPfpJ4PM79999PX18fW7du5cknnzxjo6xY3H70ox8BcPPNN0+4/Sc/+UmlrO/73/8+iqJwxx13UCwWue222/jhD384zyMVFxu5LgSAyxlLE0IIIYQQQoiqI11uhBBCCCGEqGIS6IUQQgghhKhiEuiFEEIIIYSoYhLohRBCCCGEqGIS6IUQQgghhKhiEuiFEEIIIYSoYhLohRBCCCGEqGIS6IUQQgghhKhiEuiFEEIIIYSoYhLohRBCCCGEqGIS6IUQQgghhKhi/z+MvoAIltc7HgAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "\n", + "#format the book\n", + "import book_format\n", + "book_format.set_style()\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from numpy.random import multivariate_normal\n", + "from filterpy.stats import (covariance_ellipse, \n", + " plot_covariance_ellipse)\n", + "mean = (5, 3)\n", + "P = np.array([[32, 15],\n", + " [15., 40.]])\n", + "\n", + "x,y = multivariate_normal(mean=mean, cov=P, size=2500).T\n", + "plt.scatter(x, y, alpha=0.3, marker='.')\n", + "plt.axis('equal')\n", + "\n", + "plot_covariance_ellipse(mean=mean, cov=P,\n", + " variance=2.**2,\n", + " facecolor='none')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "712dd948", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import kf_book.book_plots as bp\n", + "from numpy.random import randn\n", + "from filterpy.kalman import EnsembleKalmanFilter as EnKF\n", + "from filterpy.kalman import KalmanFilter\n", + "from filterpy.common import Q_discrete_white_noise\n", + "\n", + "np.random.seed(1234)\n", + "\n", + "def hx(x):\n", + " return np.array([x[0]])\n", + "\n", + "def fx(x, dt):\n", + " return F @ x\n", + " \n", + "F = np.array([[1., 1.],[0., 1.]])\n", + "\n", + "x = np.array([0., 1.])\n", + "P = np.eye(2) * 100.\n", + "enf = EnKF(x=x, P=P, dim_z=1, dt=1., N=20, hx=hx, fx=fx)\n", + "\n", + "std_noise = 10.\n", + "enf.R *= std_noise**2\n", + "enf.Q = Q_discrete_white_noise(2, 1., .001)\n", + "\n", + "kf = KalmanFilter(dim_x=2, dim_z=1)\n", + "kf.x = np.array([x]).T\n", + "kf.F = F.copy()\n", + "kf.P = P.copy()\n", + "kf.R = enf.R.copy()\n", + "kf.Q = enf.Q.copy()\n", + "kf.H = np.array([[1., 0.]])\n", + "\n", + "measurements = []\n", + "results = []\n", + "ps = []\n", + "kf_results = []\n", + "\n", + "zs = []\n", + "for t in range (0,100):\n", + " # create measurement = t plus white noise\n", + " z = t + randn()*std_noise\n", + " zs.append(z)\n", + "\n", + " enf.predict()\n", + " enf.update(np.asarray([z]))\n", + " \n", + " kf.predict()\n", + " kf.update(np.asarray([[z]]))\n", + "\n", + " # save data\n", + " results.append (enf.x[0])\n", + " kf_results.append (kf.x[0,0])\n", + " measurements.append(z)\n", + " ps.append(3*(enf.P[0,0]**.5))\n", + "\n", + "results = np.asarray(results)\n", + "ps = np.asarray(ps)\n", + "\n", + "plt.plot(results, label='EnKF')\n", + "plt.plot(kf_results, label='KF', c='b', lw=2)\n", + "bp.plot_measurements(measurements)\n", + "plt.plot (results - ps, c='k',linestyle=':', lw=1, label='1$\\sigma$')\n", + "plt.plot(results + ps, c='k', linestyle=':', lw=1)\n", + "plt.fill_between(range(100), results - ps, results + ps, facecolor='y', alpha=.3)\n", + "plt.legend(loc='best');" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "37e5b7af", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/kalman_and_bayesian_filters/kf_book/adaptive_internal.py b/kalman_and_bayesian_filters/kf_book/adaptive_internal.py new file mode 100644 index 0000000..6c1b353 --- /dev/null +++ b/kalman_and_bayesian_filters/kf_book/adaptive_internal.py @@ -0,0 +1,144 @@ +# -*- coding: utf-8 -*- + +"""Copyright 2015 Roger R Labbe Jr. + + +Code supporting the book + +Kalman and Bayesian Filters in Python +https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python + + +This is licensed under an MIT license. See the LICENSE.txt file +for more information. +""" + +from __future__ import (absolute_import, division, print_function, + unicode_literals) + +import kf_book.book_plots as bp +from matplotlib.patches import Circle, Rectangle, Polygon, Arrow, FancyArrow +import matplotlib.pyplot as plt +import numpy as np + + +def plot_track_and_residuals(dt, xs, z_xs, res): + """ plots track and measurement on the left, and the residual + of the filter on the right. Helps to visualize the performance of + an adaptive filter. + """ + + assert np.isscalar(dt) + t = np.arange(0, len(xs)*dt, dt) + plt.subplot(121) + if z_xs is not None: + bp.plot_measurements(t, z_xs, label='z') + bp.plot_filter(t, xs) + plt.legend(loc=2) + plt.xlabel('time (sec)') + plt.ylabel('X') + plt.title('estimates vs measurements') + plt.subplot(122) + # plot twice so it has the same color as the plot to the left! + plt.plot(t, res) + plt.plot(t, res) + plt.xlabel('time (sec)') + plt.ylabel('residual') + plt.title('residuals') + plt.show() + + +def plot_markov_chain(): + """ show a markov chain showing relative probability of an object + turning""" + + fig = plt.figure(figsize=(4,4), facecolor='w') + ax = plt.axes((0, 0, 1, 1), + xticks=[], yticks=[], frameon=False) + + box_bg = '#DDDDDD' + + kf1c = Circle((4,5), 0.5, fc=box_bg) + kf2c = Circle((6,5), 0.5, fc=box_bg) + ax.add_patch (kf1c) + ax.add_patch (kf2c) + + plt.text(4,5, "Straight",ha='center', va='center', fontsize=14) + plt.text(6,5, "Turn",ha='center', va='center', fontsize=14) + + + #btm + plt.text(5, 3.9, ".05", ha='center', va='center', fontsize=18) + ax.annotate('', + xy=(4.1, 4.5), xycoords='data', + xytext=(6, 4.5), textcoords='data', + size=10, + arrowprops=dict(arrowstyle="->", + ec="k", + connectionstyle="arc3,rad=-0.5")) + #top + plt.text(5, 6.1, ".03", ha='center', va='center', fontsize=18) + ax.annotate('', + xy=(6, 5.5), xycoords='data', + xytext=(4.1, 5.5), textcoords='data', + size=10, + + arrowprops=dict(arrowstyle="->", + ec="k", + connectionstyle="arc3,rad=-0.5")) + + plt.text(3.5, 5.6, ".97", ha='center', va='center', fontsize=18) + ax.annotate('', + xy=(3.9, 5.5), xycoords='data', + xytext=(3.55, 5.2), textcoords='data', + size=10, + arrowprops=dict(arrowstyle="->", + ec="k", + connectionstyle="angle3,angleA=150,angleB=0")) + + plt.text(6.5, 5.6, ".95", ha='center', va='center', fontsize=18) + ax.annotate('', + xy=(6.1, 5.5), xycoords='data', + xytext=(6.45, 5.2), textcoords='data', + size=10, + arrowprops=dict(arrowstyle="->", + fc="0.2", ec="k", + connectionstyle="angle3,angleA=-150,angleB=2")) + + + plt.axis('equal') + plt.show() + + +def turning_target(N=600, turn_start=400): + """ simulate a moving target""" + + #r = 1. + dt = 1. + phi_sim = np.array( + [[1, dt, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, dt], + [0, 0, 0, 1]]) + + gam = np.array([[dt**2/2, 0], + [dt, 0], + [0, dt**2/2], + [0, dt]]) + + x = np.array([[2000, 0, 10000, -15.]]).T + + simxs = [] + + for i in range(N): + x = np.dot(phi_sim, x) + if i >= turn_start: + x += np.dot(gam, np.array([[.075, .075]]).T) + simxs.append(x) + simxs = np.array(simxs) + + return simxs + + +if __name__ == "__main__": + d = turning_target() \ No newline at end of file diff --git a/kalman_and_bayesian_filters/kf_book/ekf_internal.py b/kalman_and_bayesian_filters/kf_book/ekf_internal.py new file mode 100644 index 0000000..7e14e7f --- /dev/null +++ b/kalman_and_bayesian_filters/kf_book/ekf_internal.py @@ -0,0 +1,247 @@ +# -*- coding: utf-8 -*- + +"""Copyright 2015 Roger R Labbe Jr. + + +Code supporting the book + +Kalman and Bayesian Filters in Python +https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python + + +This is licensed under an MIT license. See the LICENSE.txt file +for more information. +""" + +from __future__ import (absolute_import, division, print_function, + unicode_literals) + +import kf_book.book_plots as bp +import filterpy.kalman as kf +from math import radians, sin, cos, sqrt, exp +import matplotlib.pyplot as plt +import numpy as np +import numpy.random as random + +def ball_kf(x, y, omega, v0, dt, r=0.5, q=0.02): + + g = 9.8 # gravitational constant + f1 = kf.KalmanFilter(dim_x=5, dim_z=2) + + ay = .5*dt**2 + f1.F = np.array ([[1, dt, 0, 0, 0], # x = x0+dx*dt + [0, 1, 0, 0, 0], # dx = dx + [0, 0, 1, dt, ay], # y = y0 +dy*dt+1/2*g*dt^2 + [0, 0, 0, 1, dt], # dy = dy0 + ddy*dt + [0, 0, 0, 0, 1]]) # ddy = -g. + + f1.H = np.array([ + [1, 0, 0, 0, 0], + [0, 0, 1, 0, 0]]) + + f1.R *= r + f1.Q *= q + + omega = radians(omega) + vx = cos(omega) * v0 + vy = sin(omega) * v0 + + f1.x = np.array([[x,vx,y,vy,-9.8]]).T + + return f1 + + +def plot_radar(xs, track, time): + plt.figure() + bp.plot_track(time, track[:, 0]) + bp.plot_filter(time, xs[:, 0]) + plt.legend(loc=4) + plt.xlabel('time (sec)') + plt.ylabel('position (m)') + + plt.figure() + bp.plot_track(time, track[:, 1]) + bp.plot_filter(time, xs[:, 1]) + plt.legend(loc=4) + plt.xlabel('time (sec)') + plt.ylabel('velocity (m/s)') + + plt.figure() + bp.plot_track(time, track[:, 2]) + bp.plot_filter(time, xs[:, 2]) + plt.ylabel('altitude (m)') + plt.legend(loc=4) + plt.xlabel('time (sec)') + plt.ylim((900, 1600)) + plt.show() + + +def plot_bicycle(): + plt.clf() + plt.axes() + ax = plt.gca() + #ax.add_patch(plt.Rectangle((10,0), 10, 20, fill=False, ec='k')) #car + ax.add_patch(plt.Rectangle((21,1), .75, 2, fill=False, ec='k')) #wheel + ax.add_patch(plt.Rectangle((21.33,10), .75, 2, fill=False, ec='k', angle=20)) #wheel + ax.add_patch(plt.Rectangle((21.,4.), .75, 2, fill=True, ec='k', angle=5, ls='dashdot', alpha=0.3)) #wheel + + plt.arrow(0, 2, 20.5, 0, fc='k', ec='k', head_width=0.5, head_length=0.5) + plt.arrow(0, 2, 20.4, 3, fc='k', ec='k', head_width=0.5, head_length=0.5) + plt.arrow(21.375, 2., 0, 8.5, fc='k', ec='k', head_width=0.5, head_length=0.5) + plt.arrow(23, 2, 0, 2.5, fc='k', ec='k', head_width=0.5, head_length=0.5) + + #ax.add_patch(plt.Rectangle((10,0), 10, 20, fill=False, ec='k')) + plt.text(11, 1.0, "R", fontsize=18) + plt.text(8, 2.2, r"$\beta$", fontsize=18) + plt.text(20.4, 13.5, r"$\alpha$", fontsize=18) + plt.text(21.6, 7, "w (wheelbase)", fontsize=18) + plt.text(0, 1, "C", fontsize=18) + plt.text(24, 3, "d", fontsize=18) + plt.plot([21.375, 21.25], [11, 14], color='k', lw=1) + plt.plot([21.375, 20.2], [11, 14], color='k', lw=1) + plt.axis('scaled') + plt.xlim(0,25) + plt.axis('off') + plt.show() + +#plot_bicycle() + +class BaseballPath(object): + def __init__(self, x0, y0, launch_angle_deg, velocity_ms, noise=(1.0,1.0)): + """ Create baseball path object in 2D (y=height above ground) + + x0,y0 initial position + launch_angle_deg angle ball is travelling respective to ground plane + velocity_ms speeed of ball in meters/second + noise amount of noise to add to each reported position in (x,y) + """ + + omega = radians(launch_angle_deg) + self.v_x = velocity_ms * cos(omega) + self.v_y = velocity_ms * sin(omega) + + self.x = x0 + self.y = y0 + + self.noise = noise + + + def drag_force (self, velocity): + """ Returns the force on a baseball due to air drag at + the specified velocity. Units are SI + """ + B_m = 0.0039 + 0.0058 / (1. + exp((velocity-35.)/5.)) + return B_m * velocity + + + def update(self, dt, vel_wind=0.): + """ compute the ball position based on the specified time step and + wind velocity. Returns (x,y) position tuple. + """ + + # Euler equations for x and y + self.x += self.v_x*dt + self.y += self.v_y*dt + + # force due to air drag + v_x_wind = self.v_x - vel_wind + + v = sqrt (v_x_wind**2 + self.v_y**2) + F = self.drag_force(v) + + # Euler's equations for velocity + self.v_x = self.v_x - F*v_x_wind*dt + self.v_y = self.v_y - 9.81*dt - F*self.v_y*dt + + return (self.x + random.randn()*self.noise[0], + self.y + random.randn()*self.noise[1]) + + + +def plot_ball(): + y = 1. + x = 0. + theta = 35. # launch angle + v0 = 50. + dt = 1/10. # time step + + ball = BaseballPath(x0=x, y0=y, launch_angle_deg=theta, velocity_ms=v0, noise=[.3,.3]) + f1 = ball_kf(x,y,theta,v0,dt,r=1.) + f2 = ball_kf(x,y,theta,v0,dt,r=10.) + t = 0 + xs = [] + ys = [] + xs2 = [] + ys2 = [] + + while f1.x[2,0] > 0: + t += dt + x,y = ball.update(dt) + z = np.mat([[x,y]]).T + + f1.update(z) + f2.update(z) + xs.append(f1.x[0,0]) + ys.append(f1.x[2,0]) + xs2.append(f2.x[0,0]) + ys2.append(f2.x[2,0]) + f1.predict() + f2.predict() + + p1 = plt.scatter(x, y, color='green', marker='o', s=75, alpha=0.5) + + p2, = plt.plot (xs, ys,lw=2) + p3, = plt.plot (xs2, ys2,lw=4, c='r') + plt.legend([p1,p2, p3], ['Measurements', 'Kalman filter(R=0.5)', 'Kalman filter(R=10)']) + plt.show() + + +def show_radar_chart(): + plt.xlim([0.9,2.5]) + plt.ylim([0.5,2.5]) + + plt.scatter ([1,2],[1,2]) + ax = plt.gca() + + ax.annotate('', xy=(2,2), xytext=(1,1), + arrowprops=dict(arrowstyle='->', ec='r',shrinkA=3, shrinkB=4)) + + ax.annotate('', xy=(2,1), xytext=(1,1), + arrowprops=dict(arrowstyle='->', ec='b',shrinkA=0, shrinkB=0)) + + ax.annotate('', xy=(2,2), xytext=(2,1), + arrowprops=dict(arrowstyle='->', ec='b',shrinkA=0, shrinkB=4)) + + + + ax.annotate('$\epsilon$', xy=(1.2, 1.05), color='b') + ax.annotate('Aircraft', xy=(2.04,2.), color='b') + ax.annotate('altitude (y)', xy=(2.04,1.5), color='k') + ax.annotate('x', xy=(1.5, .9)) + ax.annotate('Radar', xy=(.95, 0.8)) + ax.annotate('Slant\n (r)', xy=(1.5,1.62), color='r') + + plt.title("Radar Tracking") + ax.xaxis.set_ticklabels([]) + ax.yaxis.set_ticklabels([]) + ax.xaxis.set_ticks([]) + ax.yaxis.set_ticks([]) + plt.show() + + +def show_linearization(): + xs = np.arange(0, 2, 0.01) + ys = [x**2 - 2*x for x in xs] + + def y(x): + return x - 2.25 + + plt.plot(xs, ys, label='$f(x)=x^2−2x$') + plt.plot([1, 2], [y(1), y(2)], color='k', ls='--', label='linearization') + plt.gca().axvline(1.5, lw=1, c='k') + plt.xlim(0, 2) + plt.ylim([-1.5, 0.0]) + plt.title('Linearization of $f(x)$ at $x=1.5$') + plt.xlabel('$x=1.5$') + plt.legend(loc=4) + plt.show() \ No newline at end of file diff --git a/kalman_and_bayesian_filters/kf_book/kf_design_internal.py b/kalman_and_bayesian_filters/kf_book/kf_design_internal.py new file mode 100644 index 0000000..afa8c96 --- /dev/null +++ b/kalman_and_bayesian_filters/kf_book/kf_design_internal.py @@ -0,0 +1,46 @@ +# -*- coding: utf-8 -*- + +"""Copyright 2015 Roger R Labbe Jr. + + +Code supporting the book + +Kalman and Bayesian Filters in Python +https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python + + +This is licensed under an MIT license. See the LICENSE.txt file +for more information. +""" + +from __future__ import (absolute_import, division, print_function, + unicode_literals) + +from filterpy.kalman import UnscentedKalmanFilter as UKF +from filterpy.kalman import JulierSigmaPoints +from math import atan2 +import numpy as np + +def hx(x): + """ compute measurements corresponding to state x""" + dx = x[0] - hx.radar_pos[0] + dy = x[1] - hx.radar_pos[1] + return np.array([atan2(dy,dx), (dx**2 + dy**2)**.5]) + +def fx(x,dt): + """ predict state x at 'dt' time in the future""" + return x + +def set_radar_pos(pos): + global hx + hx.radar_pos = pos + +def sensor_fusion_kf(): + global hx, fx + # create unscented Kalman filter with large initial uncertainty + points = JulierSigmaPoints(2, kappa=2) + kf = UKF(2, 2, dt=0.1, hx=hx, fx=fx, points=points) + kf.x = np.array([100, 100.]) + kf.P *= 40 + return kf + diff --git a/requirements.txt b/requirements.txt index c62a919..0909c70 100644 --- a/requirements.txt +++ b/requirements.txt @@ -91,7 +91,7 @@ matplotlib==3.8.2 matplotlib-inline==0.1.6 miniKanren==1.0.3 mistune==3.0.2 -mpi4py==3.1.4 +# mpi4py==3.1.4 mpl-tools==0.2.50 mpmath==1.3.0 msgpack==1.0.7 @@ -128,7 +128,7 @@ openturns==1.21 opt-einsum==3.3.0 ordered-set==4.1.0 packaging==23.2 -pandas==1.5.3 +pandas==2.1 pandocfilters==1.5.0 parso==0.8.3 patlib==0.3.5