p-adic_numbers_and_partitions.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5cb15f79",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6]\n",
      "[4, 3, 0, 1, 4, 3, 0, 1, 4, 3, 0, 1, 4, 3, 0, 1, 4, 3, 0, 1, 4, 3, 0, 1, 4, 3, 0, 1, 4, 3]\n",
      "[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6]\n",
      "[4, 3, 0, 1, 4, 3, 0, 1, 4, 3, 0, 1, 4, 3, 0, 1, 4, 3, 0, 1, 4, 3, 0, 1, 4, 3, 0, 1, 4, 3]\n",
      "[6, 3, 2, 0, 0, 5, 1, 2, 4, 3, 6, 3, 2, 0, 0, 5, 1, 2, 4, 3, 6, 3, 2, 0, 0, 5, 1, 2, 4, 4]\n",
      "[6, 1, 5, 6, 4, 0, 5, 2, 5, 5, 0, 3, 6, 1, 5, 6, 4, 0, 5, 2, 5, 5, 0, 3, 6, 1, 5, 6, 3, 6]\n",
      "[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6]\n",
      "[3, 4, 1, 6, 1, 0, 6, 5, 5, 1, 5, 4, 0, 5, 0, 4, 3, 4, 1, 6, 1, 0, 6, 5, 5, 1, 5, 3, 6, 5]\n",
      "[1, 2, 6, 1, 2, 6, 1, 2, 6, 1, 2, 6, 1, 2, 6, 1, 2, 6, 1, 2, 6, 1, 2, 6, 1, 3, 0, 2, 1, 6]\n",
      "[5, 0, 3, 2, 6, 2, 2, 5, 3, 1, 0, 6, 0, 4, 2, 0, 6, 6, 5, 6, 5, 0, 3, 2, 6, 2, 1, 1, 4, 4]\n",
      "[6, 3, 0, 4, 4, 2, 1, 1, 6, 0, 6, 5, 1, 4, 0, 0, 2, 3, 2, 5, 3, 4, 6, 3, 1, 0, 1, 2, 3, 6]\n",
      "[6, 1, 5, 6, 4, 0, 5, 2, 5, 5, 0, 3, 6, 1, 5, 6, 4, 0, 5, 2, 5, 4, 6, 5, 5, 1, 2, 6, 6, 6]\n",
      "[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 0, 3, 6, 4, 3, 6, 0, 1]\n",
      "[0, 1, 2, 0, 3, 2, 1, 5, 5, 3, 3, 1, 6, 3, 1, 4, 0, 4, 4, 5, 0, 2, 2, 1, 0, 5, 6, 2, 2, 3]\n",
      "[4, 6, 0, 3, 6, 2, 1, 6, 5, 5, 0, 5, 4, 2, 5, 2, 6, 5, 2, 1, 3, 3, 5, 5, 0, 0, 6, 6, 4, 6]\n",
      "[3, 4, 1, 6, 1, 0, 6, 5, 5, 1, 5, 4, 0, 5, 0, 4, 3, 3, 1, 1, 4, 3, 5, 4, 1, 2, 1, 0, 6, 5]\n",
      "[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 3, 1, 6, 0, 5, 0, 4, 1, 0, 2, 2, 0, 4, 1]\n",
      "[1, 1, 6, 3, 3, 3, 0, 1, 4, 0, 0, 4, 2, 5, 1, 6, 6, 1, 4, 2, 2, 0, 4, 4, 4, 3, 5, 1, 2, 6]\n",
      "[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 0, 6, 3, 4, 5, 6, 4, 5, 1, 6, 3, 4, 4, 2, 6, 3, 3, 2]\n",
      "[6, 4, 1, 4, 6, 4, 5, 3, 3, 6, 6, 0, 0, 2, 0, 4, 5, 6, 0, 4, 5, 5, 0, 6, 6, 5, 2, 1, 0, 2]\n",
      "[6, 6, 5, 4, 4, 6, 0, 1, 2, 1, 3, 5, 1, 0, 2, 3, 4, 5, 3, 3, 6, 0, 5, 6, 6, 2, 4, 5, 0, 6]\n",
      "[5, 0, 2, 0, 2, 6, 1, 1, 2, 3, 4, 2, 4, 2, 6, 6, 3, 5, 5, 4, 4, 6, 3, 1, 1, 5, 3, 2, 3, 6]\n",
      "[1, 6, 5, 0, 5, 6, 3, 0, 6, 4, 2, 5, 3, 2, 5, 3, 2, 5, 2, 0, 6, 6, 2, 4, 4, 0, 5, 0, 5, 3]\n",
      "[0, 1, 4, 4, 1, 1, 1, 0, 0, 5, 6, 0, 0, 4, 0, 4, 6, 5, 3, 1, 2, 1, 4, 0, 3, 2, 5, 3, 5, 6]\n",
      "[1, 5, 4, 1, 0, 6, 4, 1, 4, 6, 1, 0, 6, 6, 4, 2, 2, 2, 5, 4, 4, 2, 1, 4, 3, 6, 1, 1, 1, 3]\n",
      "[3, 1, 6, 0, 0, 6, 6, 1, 3, 2, 4, 6, 5, 5, 2, 0, 3, 1, 4, 6, 1, 6, 1, 2, 6, 1, 0, 3, 5, 4]\n",
      "[6, 0, 5, 6, 1, 4, 4, 2, 1, 4, 6, 6, 6, 3, 3, 3, 6, 1, 2, 2, 3, 4, 3, 3, 2, 0, 0, 4, 3, 6]\n",
      "[1, 0, 3, 0, 5, 0, 1, 3, 3, 1, 4, 4, 4, 4, 1, 1, 1, 2, 3, 3, 4, 1, 1, 4, 5, 3, 6, 0, 2, 3]\n",
      "[3, 4, 3, 4, 6, 3, 4, 3, 6, 3, 3, 2, 2, 6, 2, 2, 6, 3, 5, 4, 2, 2, 1, 6, 3, 0, 0, 0, 0, 5]\n",
      "[3, 5, 5, 4, 6, 0, 4, 2, 1, 4, 4, 5, 4, 2, 1, 2, 3, 2, 5, 6, 5, 4, 4, 2, 3, 2, 4, 0, 1, 6]\n",
      "[1/6, -1/30, 1/42, -1/30, 5/66, -691/2730, 7/6, -3617/510, 43867/798, -174611/330, 854513/138, -236364091/2730, 8553103/6, -23749461029/870, 8615841276005/14322, -7709321041217/510, 2577687858367/6, -26315271553053477373/1919190, 2929993913841559/6, -261082718496449122051/13530, 1520097643918070802691/1806, -27833269579301024235023/690, 596451111593912163277961/282, -5609403368997817686249127547/46410, 495057205241079648212477525/66, -801165718135489957347924991853/1590, 29149963634884862421418123812691/798, -2479392929313226753685415739663229/870, 84483613348880041862046775994036021/354, -1215233140483755572040304994079820246041491/56786730]\n",
      "Violoncello\n",
      "Violoncello\n",
      "Violoncello\n",
      "180\n",
      "[1/6, -1/30, 1/42, -1/30, 5/66, -691/2730, 7/6, -3617/510, 43867/798, -174611/330, 854513/138, -236364091/2730, 8553103/6, -23749461029/870, 8615841276005/14322, -7709321041217/510, 2577687858367/6, -26315271553053477373/1919190, 2929993913841559/6, -261082718496449122051/13530, 1520097643918070802691/1806, -27833269579301024235023/690, 596451111593912163277961/282, -5609403368997817686249127547/46410, 495057205241079648212477525/66, -801165718135489957347924991853/1590, 29149963634884862421418123812691/798, -2479392929313226753685415739663229/870, 84483613348880041862046775994036021/354, -1215233140483755572040304994079820246041491/56786730]\n",
      "restsNumbers =  [-1/3, -1/7, -1/5, -1/31, -1/9, -1/127, -1/17, -1/73, -1/11]\n",
      "30\n",
      "[0, 0, 0, 0, 0, 0, 0, 0]\n",
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      "[0, 1, 0, 0, 0, 0, 0, 0]\n",
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      "[1, 1, 0, 0, 0, 0, 0, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[0, 0, 1, 0, 0, 0, 0, 0]\n",
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      "[1, 0, 1, 0, 0, 0, 0, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[0, 1, 1, 0, 0, 0, 0, 0]\n",
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      "[1, 1, 1, 0, 0, 0, 0, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[0, 0, 0, 1, 0, 0, 0, 0]\n",
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      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[0, 1, 0, 1, 0, 0, 0, 0]\n",
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      "[1, 1, 0, 1, 0, 0, 0, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[0, 0, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[1, 0, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[0, 1, 1, 1, 0, 0, 0, 0]\n",
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      "[1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 1, 0, 0, 0]\n",
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      "[1, 0, 0, 0, 1, 0, 0, 0]\n",
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      "[0, 1, 0, 0, 1, 0, 0, 0]\n",
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      "[1, 1, 0, 0, 1, 0, 0, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[0, 0, 1, 0, 1, 0, 0, 0]\n",
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      "[1, 0, 1, 0, 1, 0, 0, 0]\n",
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      "[0, 1, 1, 0, 1, 0, 0, 0]\n",
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      "[1, 1, 1, 0, 1, 0, 0, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[0, 0, 0, 1, 1, 0, 0, 0]\n",
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      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[0, 0, 1, 1, 1, 1, 0, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[1, 0, 1, 1, 1, 1, 0, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[0, 1, 1, 1, 1, 1, 0, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[1, 1, 1, 1, 1, 1, 0, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 0, 0, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 0, 0, 0, 0, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 0, 0, 0, 0, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 0, 0, 0, 0, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 1, 0, 0, 0, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 1, 0, 0, 0, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 1, 0, 0, 0, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 1, 0, 0, 0, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 0, 1, 0, 0, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 0, 1, 0, 0, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 0, 1, 0, 0, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 0, 1, 0, 0, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 1, 1, 0, 0, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 1, 1, 0, 0, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 1, 1, 0, 0, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 1, 1, 0, 0, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 1, 0, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 0, 0, 1, 0, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 0, 0, 1, 0, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 0, 0, 1, 0, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 1, 0, 1, 0, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 1, 0, 1, 0, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 1, 0, 1, 0, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 1, 0, 1, 0, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 0, 1, 1, 0, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 0, 1, 1, 0, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 0, 1, 1, 0, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 0, 1, 1, 0, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 1, 1, 1, 0, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 1, 1, 1, 0, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 1, 1, 1, 0, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 1, 1, 1, 0, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 0, 1, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 0, 0, 0, 1, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 0, 0, 0, 1, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 0, 0, 0, 1, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 1, 0, 0, 1, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 1, 0, 0, 1, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 1, 0, 0, 1, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 1, 0, 0, 1, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 0, 1, 0, 1, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 0, 1, 0, 1, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 0, 1, 0, 1, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 0, 1, 0, 1, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 1, 1, 0, 1, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 1, 1, 0, 1, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 1, 1, 0, 1, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 1, 1, 0, 1, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 1, 1, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 0, 0, 1, 1, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 0, 0, 1, 1, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 0, 0, 1, 1, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 1, 0, 1, 1, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 1, 0, 1, 1, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 1, 0, 1, 1, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 1, 0, 1, 1, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 0, 1, 1, 1, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 0, 1, 1, 1, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 0, 1, 1, 1, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 1, 1, 1, 1, 1, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 0, 1, 1, 1, 1, 1, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 1, 1, 1, 1, 1, 1, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 0, 0, 0, 0, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 0, 0, 0, 0, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 0, 0, 0, 0, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 1, 0, 0, 0, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 1, 0, 0, 0, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 1, 0, 0, 0, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 0, 1, 0, 0, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 0, 1, 0, 0, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 0, 1, 0, 0, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 0, 1, 0, 0, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 1, 1, 0, 0, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 1, 1, 0, 0, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 1, 1, 0, 0, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 1, 1, 0, 0, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 1, 0, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 0, 0, 1, 0, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 0, 0, 1, 0, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 0, 0, 1, 0, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 1, 0, 1, 0, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 1, 0, 1, 0, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 1, 0, 1, 0, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 1, 0, 1, 0, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 0, 1, 1, 0, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 0, 1, 1, 0, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 0, 1, 1, 0, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 0, 1, 1, 0, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 1, 1, 1, 0, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 1, 1, 1, 0, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 1, 1, 1, 0, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 1, 1, 1, 0, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 0, 1, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 0, 0, 0, 1, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 0, 0, 0, 1, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 0, 0, 0, 1, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 1, 0, 0, 1, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 1, 0, 0, 1, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 1, 0, 0, 1, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 1, 0, 0, 1, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 0, 1, 0, 1, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 0, 1, 0, 1, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 0, 1, 0, 1, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 0, 1, 0, 1, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 1, 1, 0, 1, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 1, 1, 0, 1, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 1, 1, 0, 1, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 1, 1, 0, 1, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 1, 1, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 0, 0, 1, 1, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 0, 0, 1, 1, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 0, 0, 1, 1, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 1, 0, 1, 1, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 1, 0, 1, 1, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 1, 0, 1, 1, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 1, 0, 1, 1, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 0, 1, 1, 1, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 0, 1, 1, 1, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 0, 1, 1, 1, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 1, 1, 1, 1, 0, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 0, 1, 1, 1, 1, 0, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 1, 1, 1, 1, 1, 0, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 0, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 0, 0, 0, 0, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 0, 0, 0, 0, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 0, 0, 0, 0, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 1, 0, 0, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 1, 0, 0, 0, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 1, 0, 0, 0, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 1, 0, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 0, 1, 0, 0, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 0, 1, 0, 0, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 0, 1, 0, 0, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 1, 1, 0, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 1, 1, 0, 0, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 1, 1, 0, 0, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 1, 1, 0, 0, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 1, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 0, 0, 1, 0, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 0, 0, 1, 0, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 0, 0, 1, 0, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 1, 0, 1, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 1, 0, 1, 0, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 1, 0, 1, 0, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 1, 0, 1, 0, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 1, 1, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 0, 1, 1, 0, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 0, 1, 1, 0, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 0, 1, 1, 0, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 1, 1, 1, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 1, 1, 1, 0, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 1, 1, 1, 0, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 1, 1, 1, 0, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 0, 1, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 0, 0, 0, 1, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 0, 0, 0, 1, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 0, 0, 0, 1, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 1, 0, 0, 1, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 1, 0, 0, 1, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 1, 0, 0, 1, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 1, 0, 0, 1, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 1, 0, 1, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 0, 1, 0, 1, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 0, 1, 0, 1, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 0, 1, 0, 1, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 1, 1, 0, 1, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 1, 1, 0, 1, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 1, 1, 0, 1, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 1, 1, 0, 1, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 0, 0, 1, 1, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 1, 0, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 1, 0, 1, 1, 1, 1]\n",
      "[1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 1, 1, 0, 1, 1, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 1, 0, 1, 1, 1, 1]\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 0, 0, 1, 1, 1, 1, 1]\n",
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      "[0, 1, 0, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[1, 1, 0, 1, 1, 1, 1, 1]\n",
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      "[0, 0, 1, 1, 1, 1, 1, 1]\n",
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      "[1, 0, 1, 1, 1, 1, 1, 1]\n",
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      "[0, 1, 1, 1, 1, 1, 1, 1]\n",
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      "[1, 1, 1, 1, 1, 1, 1, 1]\n",
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      "volume 16 0 0.0111111111111111 1 0\n",
      "volume 16 0 0.0222222222222222 2 0\n",
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      "volume 32 5 0.0444444444444444 4 0\n",
      "4 [1, 1, 1, 1] 0\n",
      "volume 16 5 0.0555555555555556 5 1\n",
      "volume 32 5 0.0666666666666667 6 1\n",
      "volume 32 5 0.0777777777777778 7 1\n",
      "volume 48 5 0.0888888888888889 8 1\n",
      "volume 16 5 0.100000000000000 9 1\n",
      "volume 32 5 0.111111111111111 10 1\n",
      "volume 32 5 0.122222222222222 11 1\n",
      "volume 48 10 0.133333333333333 12 1\n",
      "volume 32 10 0.144444444444444 13 1\n",
      "volume 48 10 0.155555555555556 14 1\n",
      "volume 48 10 0.166666666666667 15 1\n",
      "volume 80 10 0.177777777777778 16 1\n",
      "volume 16 10 0.188888888888889 17 1\n",
      "volume 32 10 0.200000000000000 18 1\n",
      "volume 32 15 0.211111111111111 19 1\n",
      "4 [1, 1, 2] 1\n",
      "volume 48 15 0.222222222222222 20 2\n",
      "volume 32 15 0.233333333333333 21 2\n",
      "volume 48 15 0.244444444444444 22 2\n",
      "volume 48 15 0.255555555555556 23 2\n",
      "volume 64 15 0.266666666666667 24 2\n",
      "volume 32 15 0.277777777777778 25 2\n",
      "volume 48 15 0.288888888888889 26 2\n",
      "volume 48 20 0.300000000000000 27 2\n",
      "volume 64 20 0.311111111111111 28 2\n",
      "volume 48 20 0.322222222222222 29 2\n",
      "volume 64 20 0.333333333333333 30 2\n",
      "volume 80 20 0.344444444444444 31 2\n",
      "volume 96 20 0.355555555555556 32 2\n",
      "volume 16 20 0.366666666666667 33 2\n",
      "volume 32 25 0.377777777777778 34 2\n",
      "volume 32 25 0.388888888888889 35 2\n",
      "volume 48 25 0.400000000000000 36 2\n",
      "volume 32 25 0.411111111111111 37 2\n",
      "volume 48 25 0.422222222222222 38 2\n",
      "volume 48 25 0.433333333333333 39 2\n",
      "volume 80 25 0.444444444444444 40 2\n",
      "volume 32 25 0.455555555555556 41 2\n",
      "volume 48 30 0.466666666666667 42 2\n",
      "volume 48 30 0.477777777777778 43 2\n",
      "volume 80 30 0.488888888888889 44 2\n",
      "volume 48 30 0.500000000000000 45 2\n",
      "volume 80 30 0.511111111111111 46 2\n",
      "volume 80 30 0.522222222222222 47 2\n",
      "volume 96 30 0.533333333333333 48 2\n",
      "volume 32 35 0.544444444444444 49 2\n",
      "4 [1, 2, 1] 2\n",
      "volume 48 35 0.555555555555556 50 3\n",
      "volume 48 35 0.566666666666667 51 3\n",
      "volume 64 35 0.577777777777778 52 3\n",
      "volume 48 35 0.588888888888889 53 3\n",
      "volume 64 35 0.600000000000000 54 3\n",
      "volume 80 35 0.611111111111111 55 3\n",
      "volume 96 35 0.622222222222222 56 3\n",
      "volume 48 40 0.633333333333333 57 3\n",
      "volume 64 40 0.644444444444444 58 3\n",
      "volume 80 40 0.655555555555556 59 3\n",
      "volume 96 40 0.666666666666667 60 3\n",
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      "volume 16 0 0.0111111111111111 1 0\n",
      "volume 16 0 0.0222222222222222 2 0\n",
      "volume 16 0 0.0333333333333333 3 0\n",
      "volume 32 5 0.0444444444444444 4 0\n",
      "6 [1, 1, 1, 1, 1, 1] 0\n",
      "volume 16 5 0.0555555555555556 5 1\n",
      "volume 32 5 0.0666666666666667 6 1\n",
      "volume 32 5 0.0777777777777778 7 1\n",
      "volume 48 5 0.0888888888888889 8 1\n",
      "volume 16 5 0.100000000000000 9 1\n",
      "volume 32 5 0.111111111111111 10 1\n",
      "volume 32 5 0.122222222222222 11 1\n",
      "volume 48 10 0.133333333333333 12 1\n",
      "volume 32 10 0.144444444444444 13 1\n",
      "volume 48 10 0.155555555555556 14 1\n",
      "volume 48 10 0.166666666666667 15 1\n",
      "volume 80 10 0.177777777777778 16 1\n",
      "volume 16 10 0.188888888888889 17 1\n",
      "volume 32 10 0.200000000000000 18 1\n",
      "volume 32 15 0.211111111111111 19 1\n",
      "4 [1, 1, 2] 1\n",
      "volume 48 15 0.222222222222222 20 2\n",
      "volume 32 15 0.233333333333333 21 2\n",
      "volume 48 15 0.244444444444444 22 2\n",
      "volume 48 15 0.255555555555556 23 2\n",
      "volume 64 15 0.266666666666667 24 2\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "volume 96 160 2.63333333333333 237 5\n",
      "volume 112 160 2.64444444444444 238 5\n",
      "volume 112 160 2.65555555555556 239 5\n",
      "volume 128 160 2.66666666666667 240 5\n",
      "volume 80 160 2.67777777777778 241 5\n",
      "volume 96 160 2.68888888888889 242 5\n",
      "volume 96 160 2.70000000000000 243 5\n",
      "volume 112 165 2.71111111111111 244 5\n",
      "volume 96 165 2.72222222222222 245 5\n",
      "volume 112 165 2.73333333333333 246 5\n",
      "volume 112 165 2.74444444444444 247 5\n",
      "volume 128 165 2.75555555555556 248 5\n",
      "volume 96 165 2.76666666666667 249 5\n",
      "volume 112 165 2.77777777777778 250 5\n",
      "volume 112 165 2.78888888888889 251 5\n",
      "volume 128 170 2.80000000000000 252 5\n",
      "volume 112 170 2.81111111111111 253 5\n",
      "volume 128 170 2.82222222222222 254 5\n",
      "volume 128 170 2.83333333333333 255 5\n",
      "volume 128 170 2.84444444444444 256 5\n",
      "7 [2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 2, 1, 0, 2, 3, 4, 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      "volume 16 0 0.0111111111111111 1 0\n",
      "volume 16 0 0.0222222222222222 2 0\n",
      "volume 16 0 0.0333333333333333 3 0\n",
      "volume 32 5 0.0444444444444444 4 0\n",
      "4 [1, 1, 1, 1] 0\n",
      "volume 16 5 0.0555555555555556 5 1\n",
      "volume 32 5 0.0666666666666667 6 1\n",
      "volume 32 5 0.0777777777777778 7 1\n",
      "volume 48 5 0.0888888888888889 8 1\n",
      "volume 16 5 0.100000000000000 9 1\n",
      "volume 32 5 0.111111111111111 10 1\n",
      "volume 32 5 0.122222222222222 11 1\n",
      "volume 48 10 0.133333333333333 12 1\n",
      "volume 32 10 0.144444444444444 13 1\n",
      "volume 48 10 0.155555555555556 14 1\n",
      "volume 48 10 0.166666666666667 15 1\n",
      "volume 80 10 0.177777777777778 16 1\n",
      "volume 16 10 0.188888888888889 17 1\n",
      "volume 32 10 0.200000000000000 18 1\n",
      "volume 32 15 0.211111111111111 19 1\n",
      "10 [1, 1, 1, 1, 1, 1, 1, 1, 2] 1\n",
      "volume 48 15 0.222222222222222 20 2\n",
      "volume 32 15 0.233333333333333 21 2\n",
      "volume 48 15 0.244444444444444 22 2\n",
      "volume 48 15 0.255555555555556 23 2\n",
      "volume 64 15 0.266666666666667 24 2\n",
      "volume 32 15 0.277777777777778 25 2\n",
      "volume 48 15 0.288888888888889 26 2\n",
      "volume 48 20 0.300000000000000 27 2\n",
      "volume 64 20 0.311111111111111 28 2\n",
      "volume 48 20 0.322222222222222 29 2\n",
      "volume 64 20 0.333333333333333 30 2\n",
      "volume 80 20 0.344444444444444 31 2\n",
      "volume 96 20 0.355555555555556 32 2\n",
      "volume 16 20 0.366666666666667 33 2\n",
      "volume 32 25 0.377777777777778 34 2\n",
      "volume 32 25 0.388888888888889 35 2\n",
      "volume 48 25 0.400000000000000 36 2\n",
      "volume 32 25 0.411111111111111 37 2\n",
      "volume 48 25 0.422222222222222 38 2\n",
      "volume 48 25 0.433333333333333 39 2\n",
      "volume 80 25 0.444444444444444 40 2\n",
      "volume 32 25 0.455555555555556 41 2\n",
      "volume 48 30 0.466666666666667 42 2\n",
      "volume 48 30 0.477777777777778 43 2\n",
      "volume 80 30 0.488888888888889 44 2\n",
      "volume 48 30 0.500000000000000 45 2\n",
      "volume 80 30 0.511111111111111 46 2\n",
      "volume 80 30 0.522222222222222 47 2\n",
      "volume 96 30 0.533333333333333 48 2\n",
      "volume 32 35 0.544444444444444 49 2\n",
      "2 [1, 1] 2\n",
      "volume 48 35 0.555555555555556 50 3\n",
      "volume 48 35 0.566666666666667 51 3\n",
      "volume 64 35 0.577777777777778 52 3\n",
      "volume 48 35 0.588888888888889 53 3\n",
      "volume 64 35 0.600000000000000 54 3\n",
      "volume 80 35 0.611111111111111 55 3\n",
      "volume 96 35 0.622222222222222 56 3\n",
      "volume 48 40 0.633333333333333 57 3\n",
      "volume 64 40 0.644444444444444 58 3\n",
      "volume 80 40 0.655555555555556 59 3\n",
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      "volume 16 0 0.0111111111111111 1 0\n",
      "volume 16 0 0.0222222222222222 2 0\n",
      "volume 16 0 0.0333333333333333 3 0\n",
      "volume 32 5 0.0444444444444444 4 0\n",
      "4 [1, 1, 1, 1] 0\n",
      "volume 16 5 0.0555555555555556 5 1\n",
      "volume 32 5 0.0666666666666667 6 1\n",
      "volume 32 5 0.0777777777777778 7 1\n",
      "volume 48 5 0.0888888888888889 8 1\n",
      "volume 16 5 0.100000000000000 9 1\n",
      "volume 32 5 0.111111111111111 10 1\n",
      "volume 32 5 0.122222222222222 11 1\n",
      "volume 48 10 0.133333333333333 12 1\n",
      "volume 32 10 0.144444444444444 13 1\n",
      "volume 48 10 0.155555555555556 14 1\n",
      "volume 48 10 0.166666666666667 15 1\n",
      "volume 80 10 0.177777777777778 16 1\n",
      "volume 16 10 0.188888888888889 17 1\n",
      "volume 32 10 0.200000000000000 18 1\n",
      "volume 32 15 0.211111111111111 19 1\n",
      "4 [1, 1, 2] 1\n",
      "volume 48 15 0.222222222222222 20 2\n",
      "volume 32 15 0.233333333333333 21 2\n",
      "volume 48 15 0.244444444444444 22 2\n",
      "volume 48 15 0.255555555555556 23 2\n",
      "volume 64 15 0.266666666666667 24 2\n",
      "volume 32 15 0.277777777777778 25 2\n",
      "volume 48 15 0.288888888888889 26 2\n",
      "volume 48 20 0.300000000000000 27 2\n",
      "volume 64 20 0.311111111111111 28 2\n",
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      "volume 16 0 0.0111111111111111 1 0\n",
      "volume 16 0 0.0222222222222222 2 0\n",
      "volume 16 0 0.0333333333333333 3 0\n",
      "volume 32 5 0.0444444444444444 4 0\n",
      "6 [1, 1, 1, 1, 1, 1] 0\n",
      "volume 16 5 0.0555555555555556 5 1\n",
      "volume 32 5 0.0666666666666667 6 1\n",
      "volume 32 5 0.0777777777777778 7 1\n",
      "volume 48 5 0.0888888888888889 8 1\n",
      "volume 16 5 0.100000000000000 9 1\n",
      "volume 32 5 0.111111111111111 10 1\n",
      "volume 32 5 0.122222222222222 11 1\n",
      "volume 48 10 0.133333333333333 12 1\n",
      "volume 32 10 0.144444444444444 13 1\n",
      "volume 48 10 0.155555555555556 14 1\n",
      "volume 48 10 0.166666666666667 15 1\n",
      "volume 80 10 0.177777777777778 16 1\n",
      "volume 16 10 0.188888888888889 17 1\n",
      "volume 32 10 0.200000000000000 18 1\n",
      "volume 32 15 0.211111111111111 19 1\n",
      "4 [1, 1, 2] 1\n",
      "volume 48 15 0.222222222222222 20 2\n",
      "volume 32 15 0.233333333333333 21 2\n",
      "volume 48 15 0.244444444444444 22 2\n",
      "volume 48 15 0.255555555555556 23 2\n",
      "volume 64 15 0.266666666666667 24 2\n",
      "volume 32 15 0.277777777777778 25 2\n",
      "volume 48 15 0.288888888888889 26 2\n",
      "volume 48 20 0.300000000000000 27 2\n",
      "volume 64 20 0.311111111111111 28 2\n",
      "volume 48 20 0.322222222222222 29 2\n",
      "volume 64 20 0.333333333333333 30 2\n",
      "volume 80 20 0.344444444444444 31 2\n",
      "volume 96 20 0.355555555555556 32 2\n",
      "volume 16 20 0.366666666666667 33 2\n",
      "volume 32 25 0.377777777777778 34 2\n",
      "volume 32 25 0.388888888888889 35 2\n",
      "volume 48 25 0.400000000000000 36 2\n",
      "volume 32 25 0.411111111111111 37 2\n",
      "volume 48 25 0.422222222222222 38 2\n",
      "volume 48 25 0.433333333333333 39 2\n",
      "volume 80 25 0.444444444444444 40 2\n",
      "volume 32 25 0.455555555555556 41 2\n",
      "volume 48 30 0.466666666666667 42 2\n",
      "volume 48 30 0.477777777777778 43 2\n",
      "volume 80 30 0.488888888888889 44 2\n",
      "volume 48 30 0.500000000000000 45 2\n",
      "volume 80 30 0.511111111111111 46 2\n",
      "volume 80 30 0.522222222222222 47 2\n",
      "volume 96 30 0.533333333333333 48 2\n",
      "volume 32 35 0.544444444444444 49 2\n",
      "2 [1, 1] 2\n",
      "volume 48 35 0.555555555555556 50 3\n",
      "volume 48 35 0.566666666666667 51 3\n",
      "volume 64 35 0.577777777777778 52 3\n",
      "volume 48 35 0.588888888888889 53 3\n",
      "volume 64 35 0.600000000000000 54 3\n",
      "volume 80 35 0.611111111111111 55 3\n",
      "volume 96 35 0.622222222222222 56 3\n",
      "volume 48 40 0.633333333333333 57 3\n",
      "volume 64 40 0.644444444444444 58 3\n",
      "volume 80 40 0.655555555555556 59 3\n",
      "volume 96 40 0.666666666666667 60 3\n",
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      "volume 16 0 0.0111111111111111 1 0\n",
      "volume 16 0 0.0222222222222222 2 0\n",
      "volume 16 0 0.0333333333333333 3 0\n",
      "volume 32 5 0.0444444444444444 4 0\n",
      "4 [1, 1, 1, 1] 0\n",
      "volume 16 5 0.0555555555555556 5 1\n",
      "volume 32 5 0.0666666666666667 6 1\n",
      "volume 32 5 0.0777777777777778 7 1\n",
      "volume 48 5 0.0888888888888889 8 1\n",
      "volume 16 5 0.100000000000000 9 1\n",
      "volume 32 5 0.111111111111111 10 1\n",
      "volume 32 5 0.122222222222222 11 1\n",
      "volume 48 10 0.133333333333333 12 1\n",
      "volume 32 10 0.144444444444444 13 1\n",
      "volume 48 10 0.155555555555556 14 1\n",
      "volume 48 10 0.166666666666667 15 1\n",
      "volume 80 10 0.177777777777778 16 1\n",
      "volume 16 10 0.188888888888889 17 1\n",
      "volume 32 10 0.200000000000000 18 1\n",
      "volume 32 15 0.211111111111111 19 1\n",
      "10 [1, 1, 1, 1, 1, 1, 1, 1, 2] 1\n",
      "volume 48 15 0.222222222222222 20 2\n",
      "volume 32 15 0.233333333333333 21 2\n",
      "volume 48 15 0.244444444444444 22 2\n",
      "volume 48 15 0.255555555555556 23 2\n",
      "volume 64 15 0.266666666666667 24 2\n",
      "volume 32 15 0.277777777777778 25 2\n",
      "volume 48 15 0.288888888888889 26 2\n",
      "volume 48 20 0.300000000000000 27 2\n",
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      "8 [1, 1, 1, 1, 2, 1, 1] 4\n",
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      "volume 16 0 0.0111111111111111 1 0\n",
      "volume 16 0 0.0222222222222222 2 0\n",
      "volume 16 0 0.0333333333333333 3 0\n",
      "volume 32 5 0.0444444444444444 4 0\n",
      "6 [1, 1, 1, 1, 1, 1] 0\n",
      "volume 16 5 0.0555555555555556 5 1\n",
      "volume 32 5 0.0666666666666667 6 1\n",
      "volume 32 5 0.0777777777777778 7 1\n",
      "volume 48 5 0.0888888888888889 8 1\n",
      "volume 16 5 0.100000000000000 9 1\n",
      "volume 32 5 0.111111111111111 10 1\n",
      "volume 32 5 0.122222222222222 11 1\n",
      "volume 48 10 0.133333333333333 12 1\n",
      "volume 32 10 0.144444444444444 13 1\n",
      "volume 48 10 0.155555555555556 14 1\n",
      "volume 48 10 0.166666666666667 15 1\n",
      "volume 80 10 0.177777777777778 16 1\n",
      "volume 16 10 0.188888888888889 17 1\n",
      "volume 32 10 0.200000000000000 18 1\n",
      "volume 32 15 0.211111111111111 19 1\n",
      "4 [1, 1, 2] 1\n",
      "volume 48 15 0.222222222222222 20 2\n",
      "volume 32 15 0.233333333333333 21 2\n",
      "volume 48 15 0.244444444444444 22 2\n",
      "volume 48 15 0.255555555555556 23 2\n",
      "volume 64 15 0.266666666666667 24 2\n",
      "volume 32 15 0.277777777777778 25 2\n",
      "volume 48 15 0.288888888888889 26 2\n",
      "volume 48 20 0.300000000000000 27 2\n",
      "volume 64 20 0.311111111111111 28 2\n",
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    },
    {
     "data": {
      "text/plain": [
       "'/home/orges/notebooks/algorithmic_python_music/p-adic_numbers_and_partitions.xml'"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import music21 as m21\n",
    "score = m21.stream.Score()\n",
    "tempo  = 90\n",
    "tm = m21.tempo.MetronomeMark(number=tempo)\n",
    "score.append(tm)\n",
    "\n",
    "def getPadicDigits(q=2/3,p=2,prec=100):\n",
    "    p = p\n",
    "    RDigits = Qp(p=p,prec=prec,type=\"lattice-cap\",print_mode=\"bars\",print_sep=\",\")\n",
    "    R = RDigits\n",
    "    digits = ([ int(x) for x in str(R(q)).replace(\".\",\"\").split(\",\") if len(x)>0])\n",
    "    #digits.reverse()\n",
    "    return digits[0:prec]\n",
    "\n",
    "\n",
    "vollist = [128//8*k for k in [1,2,3,4,5,6,7,8]]\n",
    "\n",
    "def harmonic(t,y0,y1,periodendauer):\n",
    "    T = periodendauer\n",
    "    #X = matrix([[np.sin(np.pi/2+phi0),1],[np.sin(np.pi/2),1]])\n",
    "    #print(X)\n",
    "    A = (y0-y1)/2\n",
    "    B = (y0+y1)/2\n",
    "    #print(A,B)\n",
    "    frequenz = 1.0/T\n",
    "    return int(np.round(A*np.cos(2*np.pi*frequenz*t)+B,0))\n",
    "\n",
    "def getHarmonicFromList(t,ll,T):\n",
    "    periodendauer = T\n",
    "    y0 = 0\n",
    "    y1 = len(ll)-1\n",
    "    return ll[harmonic(t,y0,y1,periodendauer)]\n",
    "\n",
    "def convertPitchNrToNote(pitchNr):\n",
    "    Z12ToPitch = dict(zip(range(12),[\"C\",\"C#\",\"D\",\"D#\",\"E\",\"F\",\"F#\",\"G\",\"G#\",\"A\",\"A#\",\"B\"]))\n",
    "    octave = pitchNr // 12\n",
    "    pitch = pitchNr % 12\n",
    "    \n",
    "    note = Z12ToPitch[pitch]    \n",
    "    \n",
    "    return note +  str(octave)\n",
    "\n",
    "parts = []\n",
    "scale = [60 + x for x in [0,2,4,5,7,9,11]]\n",
    "\n",
    "drum = list(range(41,48+1))\n",
    "\n",
    "class WarmPad(m21.instrument.Instrument):\n",
    "    '''\n",
    "    >>> p = instrument.Piano()\n",
    "    >>> p.instrumentName\n",
    "    'Piano'\n",
    "    >>> p.midiProgram\n",
    "    0\n",
    "    '''\n",
    "\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        self.instrumentName = 'Warm Pad'\n",
    "        self.instrumentAbbreviation = 'W.P.'\n",
    "        self.midiProgram = 89\n",
    "\n",
    "        self.lowestNote = m21.pitch.Pitch('A0')\n",
    "        self.highestNote = m21.pitch.Pitch('C8')\n",
    "\n",
    "        \n",
    "def minkowskiSum(A,B):\n",
    "    return ([a+b for a in A for b in B])\n",
    "\n",
    "def k_Minkowski(k,A):\n",
    "    if k < 0:\n",
    "        return None\n",
    "    \n",
    "    if k == 1:\n",
    "        return A\n",
    "    else:\n",
    "        return minkowskiSum(k_Minkowski(k-1,A),A)\n",
    "\n",
    "\n",
    "def cyclicExtension(nn):\n",
    "    k = len(nn)\n",
    "    ll = [n for n in nn]\n",
    "    for i in range(k):\n",
    "        ll.extend([nn[(j+i)%k] for j in range(k)])\n",
    "    return ll    \n",
    "\n",
    "def applyPermutationToList(perm,ll):\n",
    "    if len(perm)==len(ll) and sorted(list(set(perm)))==list(range(len(ll))):\n",
    "        return [ll[perm[i]] for i in range(len(perm))]\n",
    "\n",
    "def getBarNumber(duration):\n",
    "    import numpy as np\n",
    "    return int(np.floor(duration/4.0))\n",
    "\n",
    "def getSmallestPeriodicRational(periodlength=1,prime=7):\n",
    "    n = 2\n",
    "    while True:\n",
    "        Zn = Zmod(n)\n",
    "        for x in range(1,n):\n",
    "            if gcd(x,prime)==1 and gcd(n,prime)==1 and multiplicative_order(Zn(prime))==periodlength:\n",
    "                return(-x/n)\n",
    "        n+=1    \n",
    "\n",
    "def cumSum(ll):\n",
    "    return [sum(ll[0:i]) for i in range(len(ll)+1)]\n",
    "        \n",
    "a = 2/3\n",
    "nn = []\n",
    "nrInst = 30\n",
    "for k in range(1,nrInst+1):\n",
    "    #nn.append(k*a-floor(k*a))\n",
    "    x = bernoulli(2*k)\n",
    "    nn.append(x)\n",
    "    print(getPadicDigits(q=x,p=7,prec=nrInst))\n",
    "\n",
    "numbers = nn\n",
    "print(numbers)\n",
    "\n",
    "for k in range(len(numbers)):\n",
    "    lh = m21.stream.Part()\n",
    "    #lh.append(m21.instrument.Piano())\n",
    "    #lh.append(WarmPad())\n",
    "    if k%10 in [0]:\n",
    "        lh.append(m21.instrument.Violin())\n",
    "    elif k%10 in [1]:\n",
    "        inst = m21.instrument.Violoncello()\n",
    "        #inst.midiChannel = 9\n",
    "        #inst.midiProgram = 53\n",
    "        #inst.instrumentName = 'Orchestra Kit'\n",
    "        #inst.instrumentAbbreviation = 'O.K.'\n",
    "        print(inst)\n",
    "   # 1 Standard Kit\n",
    "   # 9 Room Kit\n",
    "   # 17 Power Kit\n",
    "   # 25 Electronic Kit\n",
    "   # 26 TR-808 Kit\n",
    "   # 33 Jazz Kit\n",
    "   # 41 Brush Kit\n",
    "   # 49 Orchestra Kit\n",
    "   # 57 Sound FX Kit\n",
    "   # 128 Percussion      \n",
    "        lh.append(inst)\n",
    "    elif k%10 in [2,3]:\n",
    "        lh.append(m21.instrument.Piano())\n",
    "    elif k%10 in [4,5]:\n",
    "        lh.append(m21.instrument.Harp())\n",
    "    elif k%10 in [6,7]:\n",
    "        lh.append(m21.instrument.Marimba())\n",
    "    elif k%10 in [8,9]:\n",
    "        lh.append(WarmPad())\n",
    "    parts.append(lh)\n",
    "\n",
    "\n",
    "#shuffle(parts)    \n",
    "    \n",
    "prec = 256*20\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "Npartition = 5\n",
    "op = OrderedPartitions(Npartition).list()[1:]\n",
    "\n",
    "shuffle(op)\n",
    "changeAfterNSeconds = 5\n",
    "last_tim = -changeAfterNSeconds\n",
    "cnt = 0\n",
    "nBars = 2*tempo\n",
    "print(nBars)\n",
    "if prec < nBars:\n",
    "    print(\"......\")\n",
    "    \n",
    "N = 6\n",
    "possibleParts = [2,4,6,8,10]\n",
    "print(numbers)\n",
    "cnt = 0\n",
    "numbers = [getSmallestPeriodicRational(periodlength=d,prime=7) for d in divisors(N) if d > 1]\n",
    "restsNumbers = [getSmallestPeriodicRational(periodlength=x,prime=2) for x in range(2,11)]\n",
    "print(\"restsNumbers = \",restsNumbers)\n",
    "\n",
    "\n",
    "lB = floor(log(nBars)/log(2))+1\n",
    "\n",
    "print(nrInst)\n",
    "onOffInsts = [range(x*nrInst//lB,(x+1)*nrInst//lB) for x in range(lB)]\n",
    "instsToPlay = []\n",
    "for b in range(2**lB):\n",
    "    digits2 = Integer(b).digits(2,padto=lB)\n",
    "    print(digits2)\n",
    "    playInst = []\n",
    "    for x in range(nrInst):\n",
    "        if any([x in onOffInsts[i] for i in range(lB) if digits2[i]==1]):\n",
    "            pI = 1\n",
    "        else:\n",
    "            pI = 0\n",
    "        playInst.append(pI)    \n",
    "    print(playInst) \n",
    "    instsToPlay.append(playInst)\n",
    "\n",
    "\n",
    "\n",
    "for i in range(len(parts)):\n",
    "    digits = getPadicDigits(q=numbers[i%len(numbers)],p=7,prec=prec)\n",
    "    rests = getPadicDigits(q=restsNumbers[i%len(restsNumbers)],p=2,prec=prec)\n",
    "    durs = getPadicDigits(q=numbers[1],p=2,prec=prec)\n",
    "    nPartitions = getPadicDigits(q=numbers[i%len(numbers)],p=5,prec=prec)\n",
    "    m = len(digits)\n",
    "    #print(i,numbers[i])\n",
    "    #print(digits)\n",
    "    print(i,nPartitions)\n",
    "    #print(durs)\n",
    "    sumDur = 0\n",
    "    sumNN = 0\n",
    "    cnt = 0\n",
    "    for bn in range(1,2**lB+1):\n",
    "        time_in_minutes = bn*1/tempo*1.0\n",
    "        tim = int(np.round(time_in_minutes*60/changeAfterNSeconds,0)*changeAfterNSeconds)\n",
    "        \n",
    "        playInst = instsToPlay[bn-1]\n",
    "        volume = getHarmonicFromList(sum(playInst),vollist,T=2*len(parts))\n",
    "        print(\"volume\",volume,tim,time_in_minutes,bn,cnt)\n",
    "        if tim-last_tim==changeAfterNSeconds and tim in [changeAfterNSeconds*x for x in cumSum([1,2,4,8,16,32,64,128,256])]:\n",
    "            nPart = possibleParts[nPartitions.pop(0)]\n",
    "            op = OrderedPartitions(nPart).list()[:0:-1]\n",
    "            #shuffle(op)\n",
    "            xdurs = op[cnt%len(op)]\n",
    "            #shuffle(xdurs)\n",
    "            print(nPart,xdurs,cnt)\n",
    "            cnt += 1\n",
    "        last_tim = tim\n",
    "        j = 0\n",
    "        for digit in digits[sumNN:(sumNN+len(xdurs))]:\n",
    "            #isRest = (rests[j]==1)\n",
    "            pitchNr = scale[digit]\n",
    "            D = float(xdurs[j%len(xdurs)]*4.0/nPart)   \n",
    "            j+=1\n",
    "            sumDur += D#print(bn,bnDigits)                 \n",
    "            \n",
    "            if playInst[i]==0:\n",
    "                n0 = m21.note.Rest()\n",
    "            else:    \n",
    "                if i%10==0:# violine\n",
    "                    n0 = m21.note.Note(convertPitchNrToNote(pitchNr-12))\n",
    "                else:\n",
    "                    n0 = m21.note.Note(convertPitchNrToNote(pitchNr-(i%2)*24))\n",
    "                n0.volume.velocity = volume        \n",
    "            duration = m21.duration.Duration(D)\n",
    "            n0.duration = duration #getDurationInQuarterByEmphasis(emph,factor=factor)\n",
    "            parts[i].append(n0)\n",
    "        sumNN+=len(xdurs)\n",
    "\n",
    "for part in parts:\n",
    "    score.append(part)\n",
    "            \n",
    "score.insert(0,m21.metadata.Metadata())    \n",
    "title = \"p-adic numbers and partitions\"\n",
    "score.metadata.title = title\n",
    "\n",
    "score.metadata.composer = 'musescore1983'\n",
    "score.write(\"midi\", fp=(\"_\".join(title.split(\" \")))+\".mid\")     \n",
    "score.write(\"musicxml\", fp=(\"_\".join(title.split(\" \")))+\".musicxml\")     \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "237c20f1",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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