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lan-qiao-bei-k-hao-shu-dp.html
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<!DOCTYPE HTML>
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<meta name="keywords" content="蓝桥杯K好数(dp), IT学习">
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{ for (var i = 0; i < props.length; i++)
{var descriptor = props[i];descriptor.enumerable = descriptor.enumerable || false;descriptor.configurable = true;if ("value" in descriptor)
descriptor.writable = true;Object.defineProperty(target, descriptor.key, descriptor);}}
return function (Constructor, protoProps, staticProps)
{if (protoProps) defineProperties(Constructor.prototype, protoProps);
if (staticProps) defineProperties(Constructor, staticProps);
return Constructor;};}();function _classCallCheck(instance, Constructor)
{if (!(instance instanceof Constructor)) {throw new TypeError("Cannot call a class as a function");}}
var getRandom = function getRandom(min, max) {
return Math.random() * (max - min) + min;
};
var getRandomInt = function getRandomInt(min, max) {
return Math.floor(Math.random() * (max - min)) + min;
};
var getRandomColor = function getRandomColor() {
var colors = [
'rgba(231, 76, 60, 1)', // red
'rgba(241, 196, 15, 1)', // yellow
'rgba(46, 204, 113, 1)', // green
'rgba(52, 152, 219, 1)', // blue
'rgba(155, 89, 182, 1)' // purple
];
return colors[getRandomInt(0, colors.length)];
};
// Particle//粒子模块
var
Particle = function () {
function Particle(system, x, y) {_classCallCheck(this, Particle);
this.system = system;
this.universe = this.system.world.universe;
this.x = x;
this.y = y;
this.color = getRandomColor();
this.life = 1;
this.aging = getRandom(0.990, 0.999); // 0.99, 0.999 || 0.999, 0.9999
this.r = getRandomInt(12, 16);//初始粒子半径范围
this.speed = getRandom(18, 18.5);//粒子爆炸速度范围
this.velocity = [
getRandom(-this.speed, this.speed),
getRandom(-this.speed, this.speed)];
}_createClass(Particle, [{ key: 'update', value: function update(
dt) {
this.life *= this.aging;
if (
this.r < 0.1 ||
this.life === 0 ||
this.x + this.r < 0 ||
this.x - this.r > this.universe.width ||
this.y + this.r < 0 ||
this.y - this.r > this.universe.height)
{
this.system.removeObject(this);
}
this.r *= this.life;
this.x += this.velocity[0];
this.y += this.velocity[1];
} }, { key: 'render', value: function render(
ctx) {
// Main circle //亮圈模块
ctx.fillStyle = this.color;
ctx.beginPath();
ctx.arc(this.x, this.y, this.r*1.2, 0, 2 * Math.PI, false);
ctx.fill();
ctx.closePath();
var r = this.color.match(/([0-9]+)/g)[0];
var g = this.color.match(/([0-9]+)/g)[1];
var b = this.color.match(/([0-9]+)/g)[2];
// Gradient//梯度变化曲线
var spread = 1.5;
var gradient = ctx.createRadialGradient(
this.x, this.y, this.r,
this.x, this.y, this.r * spread);
gradient.addColorStop(0, 'rgba(' + r + ', ' + g + ', ' + b + ', 0.5)');
gradient.addColorStop(1, 'rgba(' + r + ', ' + g + ', ' + b + ', 0)');
ctx.globalCompositeOperation = 'lighter';
ctx.fillStyle = gradient;
ctx.beginPath();
ctx.arc(this.x, this.y, this.r * spread, 0, 2 * Math.PI, false);
ctx.fill();
ctx.closePath();
ctx.globalCompositeOperation = 'source-over';
// Aberration//偏差
var offset = this.r * 0.5;
var color = 'rgba(' + g + ', ' + b + ', ' + r + ', 0.5)';
ctx.globalCompositeOperation = 'lighter';
ctx.fillStyle = color;
ctx.beginPath();
ctx.arc(this.x + offset, this.y + offset, this.r, 0, 2 * Math.PI, false);
ctx.fill();
ctx.closePath();
ctx.globalCompositeOperation = 'source-over';
} }]);return Particle;}();
// Crown //水波纹圈模块
var
Crown = function () {
function Crown(system, x, y) {_classCallCheck(this, Crown);
this.system = system;
this.x = x;
this.y = y;
this.r = getRandomInt(5, 15); // 5, 20 水波纹圈半径范围
this.mod = 1.1;
this.life = 0.5; //水波纹线
this.aging = getRandom(0.830, 0.899);
this.speed = getRandom(8, 9);
this.color = {
r: getRandomInt(236, 242),
g: getRandomInt(70, 80),
b: getRandomInt(50, 70) };
this.angle1 = Math.PI * getRandom(0, 2);
this.angle2 = this.angle1 + Math.PI * getRandom(0.3, 0.4);//水波纹圈完整度
}_createClass(Crown, [{ key: 'update', value: function update(
dt) {
this.life *= this.aging;
if (this.life <= 0.0001) this.system.removeObject(this);
this.r += Math.abs(1 - this.life) * this.speed;
this.x1 = this.x + this.r * Math.cos(this.angle1);
this.y1 = this.y + this.r * Math.sin(this.angle1);
this.angle3 = this.angle1 + (this.angle2 - this.angle1) / 2;
this.x2 = this.x + this.r * this.mod * Math.cos(this.angle3);
this.y2 = this.y + this.r * this.mod * Math.sin(this.angle3);
} }, { key: 'render', value: function render(
ctx) {
var gradient = ctx.createRadialGradient(
this.x, this.y, this.r * 0.9,
this.x, this.y, this.r);
gradient.addColorStop(0, 'rgba(' + this.color.r + ', ' + this.color.g + ', ' + this.color.b + ', ' + this.life + ')');
gradient.addColorStop(1, 'rgba(' + this.color.r + ', ' + this.color.g + ', ' + this.color.b + ', ' + this.life * 0.5 + ')');
ctx.fillStyle = gradient;
ctx.beginPath();
ctx.arc(this.x, this.y, this.r, this.angle1, this.angle2, false);
ctx.quadraticCurveTo(this.x2, this.y2, this.x1, this.y1);
ctx.fill();
ctx.closePath();
} }]);return Crown;}();
// Explosion //爆炸模块
var
Explosion = function () {
function Explosion(world, x, y) {_classCallCheck(this, Explosion);
this.world = world;
this.x = x;
this.y = y;
this.objects = [];
var particles = getRandomInt(10, 30); // 10, 30 amount of particles//爆炸 粒子数量
var crowns = particles * getRandom(0.4, 0.5);
while (crowns-- > 0) {this.addCrown();}
while (particles-- > 0) {this.addParticle();}
}_createClass(Explosion, [{ key: 'update', value: function update(
dt) {
this.objects.forEach(function (obj) {
if (obj) obj.update(dt);
});
if (this.objects.length <= 0) {
this.world.clearExplosion(this);
}
} }, { key: 'render', value: function render(
ctx) {
this.objects.forEach(function (obj) {
if (obj) obj.render(ctx);
});
} }, { key: 'addCrown', value: function addCrown()
{
this.objects.push(new Crown(this, this.x, this.y));
} }, { key: 'addParticle', value: function addParticle()
{
this.objects.push(new Particle(this, this.x, this.y));
} }, { key: 'removeObject', value: function removeObject(
obj) {
var index = this.objects.indexOf(obj);
if (index !== -1) {
this.objects.splice(index, 1);
}
} }]);return Explosion;}();
// World
var
ConfettiWorld = function () {function ConfettiWorld()
{_classCallCheck(this, ConfettiWorld);}_createClass(ConfettiWorld, [{ key: 'init', value: function init()
{
this.objects = [];
window.addEventListener('click', this.explode.bind(this));
// Initial explosion //初始爆炸
var counter = 0;
while (counter-- > 0) {
this.explode({
clientX: window.event.clientX, //getRandomInt(10, this.universe.width) , //this.universe.width / 2,
clientY: window.event.clientY //getRandomInt(10, 50) //this.universe.height / 2
});
}
} }, { key: 'update', value: function update(
dt) {
this.objects.forEach(function (obj) {
if (obj) obj.update(dt);
});
var amount = this.objects.reduce(function (sum, explosion) {
return sum += explosion.objects.length;
}, 0);
} }, { key: 'render', value: function render(
ctx) {
this.objects.forEach(function (obj) {
if (obj) obj.render(ctx);
});
} }, { key: 'explode', value: function explode(
event) {
var x = event.clientX;
var y = event.clientY;
this.objects.push(new Explosion(this, x, y));
} }, { key: 'clearExplosion', value: function clearExplosion(
explosion) {
var index = this.objects.indexOf(explosion);
if (index !== -1) {
this.objects.splice(index, 1);
}
} }]);return ConfettiWorld;}();
// Time
var
Time = function () {
function Time() {_classCallCheck(this, Time);
this.now = 0; // current tick time
this.prev = 0; // prev tick time
this.elapsed = 0; // elapsed time from last tick
this.delta = 0; // time from last update
this.fps = 60; // desired fps
this.step = 1 / 60; // step duration
}_createClass(Time, [{ key: 'update', value: function update(
time) {
this.now = time;
this.elapsed = (this.now - this.prev) / 1000;
this.prev = this.now;
this.delta += this.elapsed;
} }, { key: 'raf', value: function raf(
func) {
window.requestAnimationFrame(func);
} }, { key: 'hasFrames', value: function hasFrames()
{
return this.delta >= this.step;
} }, { key: 'processFrame', value: function processFrame()
{
this.delta -= this.step;
} }]);return Time;}();
// Canvas
var
Universe = function () {
function Universe(element) {_classCallCheck(this, Universe);
this.el = element;
this.ctx = this.el.getContext('2d');
this.pixelRatio = window.devicePixelRatio;
this.time = new Time();
this.worlds = {};
this.world = null; // current state
this.updateSize();
window.addEventListener('resize', this.updateSize.bind(this));
this.addWorld('confetti', ConfettiWorld);
this.setWorld('confetti');
this.start();
}_createClass(Universe, [{ key: 'start', value: function start()
{
this.time.raf(this.tick.bind(this));
} }, { key: 'tick', value: function tick(
time) {
this.time.update(time);
if (this.time.hasFrames()) {
this.update();
this.time.processFrame();
}
this.render();
this.time.raf(this.tick.bind(this));
} }, { key: 'update', value: function update()
{
this.world.update(this.time.step);
} }, { key: 'render', value: function render()
{
var gradient = this.ctx.createLinearGradient(0, 0, this.width, this.height);
// gradient.addColorStop(0, '#34495e');
//gradient.addColorStop(1, '#2c3e50');
this.ctx.clearRect(0, 0, this.width, this.height);
// this.ctx.fillStyle = '#2c3e50'
// //this.ctx.fillStyle = gradient;
// // this.ctx.fillRect(0, 0, this.width, this.height);
this.world.render(this.ctx);
}
// Helpers 库
}, { key: 'updateSize', value: function updateSize()
{
this.width = window.innerWidth;
this.height = window.innerHeight;
this.el.width = this.width * this.pixelRatio;
this.el.height = this.height * this.pixelRatio;
this.el.style.width = window.innerWidth + 'px';
this.el.style.height = window.innerHeight + 'px';
this.ctx.scale(this.pixelRatio, this.pixelRatio);
} }, { key: 'addWorld', value: function addWorld(
worldName, World) {
this.worlds[worldName] = new World();
this.worlds[worldName].universe = this;
this.worlds[worldName].init();
} }, { key: 'setWorld', value: function setWorld(
worldName) {
this.world = this.worlds[worldName];
} }]);return Universe;}();
// Main
console.clear();
var element = document.querySelector('#canvas1');
window.Canvas= new Universe(element);</script>
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蓝桥杯K好数(dp)
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<i class="fa fa-calendar-minus-o fa-fw"></i>发布日期:
<span id="page__date">2018-03-30</sapn>
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597
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<p>问题描述 <br> 如果一个自然数N的K进制表示中任意的相邻的两位都不是相邻的数字，那么我们就说这个数是K好数。 <br> 求L位K进制数中K好数的数目。例如K = 4，L = 2的时候，所有K好数为11、13、20、22、30、31、33 <br> 共7个。由于这个数目很大，请你输出它对1000000007取模后的值。</p> <p>输入格式 <br> 输入包含两个正整数，K和L。</p> <p>输出格式 <br> 输出一个整数，表示答案对1000000007取模后的值。 <br> 样例输入 <br> 4 2 <br> 样例输出 <br> 7 <br> 数据规模与约定 <br> 对于30%的数据，KL <= 106；</p> <p>对于50%的数据，K <= 16， L <= 10；</p> <p>对于100%的数据，1 <= K,L <= 100。 <br> 思路：用动态规划；若求 K=4 进制 L=1 位则 有 0,1,2,3 。共4种,当L>=2时 第一位不能为0 <br> 所以 计算第一位时 把 a[1][0]=0;就是说可以 20 不可 02 可以 200,300 <br> a[i][j]表示 以 j（0,1,2,3.。.。K-1）数 为第i位上的数字 存储的是 这种情况下的K好数 <br> \j 0 1 2 3.。。。K-1 <br> i <br> 1 0 1 1 1.。。。 1 <br> 2 2 2 1 2.。。。 <br> 3 5 4 3 6.。。。 <br> 。 <br> 。 <br> 。 <br> L <br> </p>