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1829 lines (1347 loc) · 66.3 KB
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<!DOCTYPE HTML>
<html lang="zh-CN">
<head><meta name="generator" content="Hexo 3.9.0">
<meta charset="utf-8">
<meta name="keywords" content="Trie树(字典树)[模板], IT学习">
<meta name="description" content=" ">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=no">
<meta name="renderer" content="webkit|ie-stand|ie-comp">
<meta name="mobile-web-app-capable" content="yes">
<meta name="format-detection" content="telephone=no">
<meta name="apple-mobile-web-app-capable" content="yes">
<meta name="apple-mobile-web-app-status-bar-style" content="black-translucent">
<title>Trie树(字典树)[模板] | IT学习</title>
<link rel="icon" type="image/png" href="/favicon.png">
<link rel="stylesheet" type="text/css" href="/libs/awesome/css/font-awesome.min.css">
<link rel="stylesheet" type="text/css" href="/libs/materialize/materialize.min.css">
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<link rel="stylesheet" type="text/css" href="/libs/lightGallery/css/lightgallery.min.css">
<link rel="stylesheet" type="text/css" href="/css/matery.css">
<link rel="stylesheet" type="text/css" href="/css/my.css">
<link rel="stylesheet" href="/css/prism-tomorrow.css" type="text/css">
<style type="text/css">
</style>
<div id="fv_loading">
<div class="fv_loadingBorder2"><div class="fv_loadingBorder3"><div class="fv_loadingBorder"></div></div></div>
<div class="fv_bounce">
<span class="fv_letter"><br><br><br>F</span>
<span class="fv_letter"><br><br><br>i</span>
<span class="fv_letter"><br><br><br>v</span>
<span class="fv_letter"><br><br><br>e</span>
<span class="fv_letter"><br><br><br>-</span>
<span class="fv_letter"><br><br><br>gr</span>
<span class="fv_letter"><br><br><br>ea</span>
<span class="fv_letter"><br><br><br>t</span>
<div>
</div>
<script src="/libs/jquery/jquery-2.2.0.min.js"></script>
<!--百度统计代码-->
<script>
var _hmt = _hmt || [];
(function() {
var hm = document.createElement("script");
hm.src = "https://hm.baidu.com/hm.js?cc6f0804a30e83a31b6140fbfab1897b";
var s = document.getElementsByTagName("script")[0];
s.parentNode.insertBefore(hm, s);
})();
</script>
<!--推送-->
<script>
(function(){
var bp = document.createElement('script');
var curProtocol = window.location.protocol.split(':')[0];
if (curProtocol === 'https'){
bp.src = 'https://zz.bdstatic.com/linksubmit/push.js';
}
else{
bp.src = 'http://push.zhanzhang.baidu.com/push.js';
}
var s = document.getElementsByTagName("script")[0];
s.parentNode.insertBefore(bp, s);
})();
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<script async src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>
<script>
(adsbygoogle = window.adsbygoogle || []).push({
google_ad_client: "ca-pub-4200955217986403",
enable_page_level_ads: true
});
</script>
</div></div></head>
<body>
<style>
@media only screen and (max-width: 422px){
nav .brand-logo {left: 41%;}
nav a {margin: 0px 0px 0px 0px;}
nav ul a {padding: 0px;}
.bg-cover .title{fone-size:3rem;}
}
</style>
<header class="navbar-fixed">
<nav id="headNav" class="bg-color nav-transparent">
<div id="navContainer" class="nav-wrapper container">
<div class="brand-logo" >
<a href="/" class="waves-effect waves-light">
<img src="/medias/logo.png" class="logo-img" alt="LOGO">
<span class="logo-span">IT学习</span>
</a>
</div>
<a href="#" data-target="mobile-nav" class="sidenav-trigger button-collapse"><i class="fa fa-navicon"></i></a>
<ul class="right nav-menu">
<li class="hide-on-med-and-down nav-item" >
<a href="/" class="waves-effect waves-light">
<i class="fa fa-home"></i>
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</a>
</li>
<li class="hide-on-med-and-down nav-item" >
<a href="/tags" class="waves-effect waves-light">
<i class="fa fa-tags"></i>
<span>标签</span>
</a>
</li>
<li class="hide-on-med-and-down nav-item" >
<a href="/categories" class="waves-effect waves-light">
<i class="fa fa-bookmark"></i>
<span>分类</span>
</a>
</li>
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<a href="/archives" class="waves-effect waves-light">
<i class="fa fa-archive"></i>
<span>归档</span>
</a>
</li>
<li class="hide-on-med-and-down nav-item" >
<a href="/about" class="waves-effect waves-light">
<i class="fa fa-user-circle-o"></i>
<span>关于</span>
<i class="fa fa-chevron-down" aria-hidden="true"></i>
</a>
<ul class="sub-nav menus_item_child ">
<li>
<a href="/about" >
<i class="fa fa-user-circle-o" style="margin-top: -20px;"></i>
<span>自我介绍</span>
</a>
</li>
<li>
<a href="https://github.com/Five-great/" >
<i class="fa fa-github" style="margin-top: -20px;"></i>
<span>Github</span>
</a>
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<a href="/lyb" class="waves-effect waves-light">
<i class="fa fa-paper-plane-o"></i>
<span>留言板</span>
</a>
</li>
<li class="hide-on-med-and-down nav-item" >
<a href="/friends" class="waves-effect waves-light">
<i class="fa fa-address-book"></i>
<span>友情链接</span>
</a>
</li>
<li>
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<i id="searchIcon" class="fa fa-search" title="搜索"></i>
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</ul>
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<div class="logo-desc">
有事多研究 没事多琢磨
</div>
</div>
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<a href="/" class="waves-effect waves-light">
<i class="fa fa-fw fa-home"></i>
首页
</a>
</li>
<li class="m-nav-item">
<a href="/tags" class="waves-effect waves-light">
<i class="fa fa-fw fa-tags"></i>
标签
</a>
</li>
<li class="m-nav-item">
<a href="/categories" class="waves-effect waves-light">
<i class="fa fa-fw fa-bookmark"></i>
分类
</a>
</li>
<li class="m-nav-item">
<a href="/archives" class="waves-effect waves-light">
<i class="fa fa-fw fa-archive"></i>
归档
</a>
</li>
<li class="m-nav-item">
<a href="javascript:;">
<i class="fa fa-fw fa-user-circle-o"></i>
关于
<span class="m-icon"><i class="fa fa-chevron-right"></i></span>
</a>
<ul >
<li>
<a href="/about " style="margin-left:75px";>
<i class="fa fa-user-circle-o" style="position: absolute;left:50px" ></i>
<span>自我介绍</span>
</a>
</li>
<li>
<a href="https://github.com/Five-great/ " style="margin-left:75px";>
<i class="fa fa-github" style="position: absolute;left:50px" ></i>
<span>Github</span>
</a>
</li>
</ul>
</li>
<li class="m-nav-item">
<a href="/lyb" class="waves-effect waves-light">
<i class="fa fa-fw fa-paper-plane-o"></i>
留言板
</a>
</li>
<li class="m-nav-item">
<a href="/friends" class="waves-effect waves-light">
<i class="fa fa-fw fa-address-book"></i>
友情链接
</a>
</li>
</ul>
</div>
</div>
</nav>
</header>
<head><meta name="generator" content="Hexo 3.9.0">
<style>
*{
margin: 0;
padding: 0;
}
#canvas111{
position: fixed;
background: #ccc;
overflow: auto;
z-index: -1;
}
</style>
<canvas id="canvas111"></canvas>
<link rel="stylesheet" href="/css/prism-tomorrow.css" type="text/css"></head>
<body>
</body>
<script>
window.requestAnimationFrame = (function(){
return window.requestAnimationFrame ||
window.webkitRequestAnimationFrame ||
window.mozRequestAnimationFrame ||
function( callback ){
window.setTimeout( callback, 1000/2 );
};
})();
var myCanvas = document.getElementById("canvas111");
var ctx = myCanvas.getContext("2d");//getContext 设置画笔
var num;
var w,h;
var duixiang = [];
var move = {};
function widthheight(){
w = myCanvas.width = window.innerWidth;
h = myCanvas.height = window.innerHeight;
num= Math.floor(w*h*0.0001);
for(var i = 0;i < num;i++){
duixiang[i] = {
x:Math.random()*w,
y:Math.random()*h,
cX:Math.random()*0.6-0.3,
cY:Math.random()*0.6-0.3,
R:Math.floor(Math.random()*5)+2,
//CC:Math.floor(Math.random()*3)+2,
r: Math.floor(Math.random() * 254),
g: Math.floor(Math.random() * 254),
b:Math.floor(Math.random() * 254)
}
// console.log(duixiang[i])
Cricle(duixiang[i].x,duixiang[i].y,duixiang[i].R,duixiang[i].r,duixiang[i].g,duixiang[i].b);
//Cricle(duixiang[i].x,duixiang[i].y,duixiang[i].R,duixiang[i].CC);
}
};widthheight();//获取浏览器的等宽度等高
function Cricle(x,y,R,r,g,b){
ctx.save();//保存路径
if(Math.random()>0.991) {ctx.globalAlpha= 0.9;}//ctx.fillStyle = "#CCC";}//填充的背景颜色
else { ctx.globalAlpha=0.47;}
ctx.fillStyle = "rgb("+ r +","+ g +","+ b +")";
ctx.beginPath();//开始绘画
ctx.arc(x,y,R,Math.PI*2,0);//绘画圆 x y 半径（大小） 角度 一个PI 是180 * 2 = 360 真假 0/1 true/false
ctx.closePath();//结束绘画
ctx.fill();//填充背景颜色
ctx.restore();//回复路径
};Cricle();
!function draw(){
ctx.clearRect(0,0,w,h)//先清除画布上的点
for(var i = 0;i < num;i++){
duixiang[i].x += duixiang[i].cX;
duixiang[i].y += duixiang[i].cY;
if(duixiang[i].x>w || duixiang[i].x<0){
duixiang[i].cX = -duixiang[i].cX;
}
if(duixiang[i].y>h || duixiang[i].y<0){
duixiang[i].cY = -duixiang[i].cY;
}
Cricle(duixiang[i].x,duixiang[i].y,duixiang[i].R,duixiang[i].r,duixiang[i].g,duixiang[i].b);
//勾股定理判断两点是否连线
for(var j = i + 1;j < num;j++){
if( (duixiang[i].x-duixiang[j].x)*(duixiang[i].x-duixiang[j].x)+(duixiang[i].y-duixiang[j].y)*(duixiang[i].y-duixiang[j].y) <= 55*55 ){
line(duixiang[i].x,duixiang[i].y,duixiang[j].x,duixiang[j].y,0,i,j)
}
if(move.x){
if( (duixiang[i].x-move.x)*(duixiang[i].x-move.x)+(duixiang[i].y-move.y)*(duixiang[i].y-move.y) <= 100*100 ){
line(duixiang[i].x,duixiang[i].y,move.x,move.y,1,i,1)
}
}
}
}
window.requestAnimationFrame(draw)
}();
//绘制线条
function line(x1,y1,x2,y2,flag,i,j){
if (flag){var color = ctx.createLinearGradient(x1,y1,x2,y2);
ctx.globalAlpha=0.5;
color.addColorStop(0,"rgb("+ duixiang[i].r +","+ duixiang[i].g +","+ duixiang[i].b +")");
color.addColorStop(0.8,"#019ee5");
}
else
{
var color = ctx.createLinearGradient(x1,y1,x2,y2);
ctx.globalAlpha=0.9;
color.addColorStop(0,"rgb("+ duixiang[i].r +","+ duixiang[i].g +","+ duixiang[i].b +")");
color.addColorStop(1,"rgb("+ duixiang[j].r +","+ duixiang[j].g +","+ duixiang[j].b +")");
}
ctx.save();
ctx.strokeStyle = color;
ctx.lineWidth = 0.5;
ctx.beginPath();
ctx.moveTo(x1,y1);
ctx.lineTo(x2,y2);
ctx.stroke();
//ctx.restore();
}
//document.onmousemove = function(e){
// move.x = e.clientX;
// move.y = e.clientY;
//}
//console.log(move)
/*window.onresize = function(){
location.reload();
}*/
</script>
<style>
#canvas1 {
position: fixed;
pointer-events:none;//鼠标多层响应事件
// background: #ccc;
/*透明度*/
width: 100%;
height: 100%;
// opacity: 0;
overflow: auto;
z-index: 999;
}
</style>
<body>
<canvas id="canvas1" style="whdth: 100%;height: 100%"></canvas>
<script>
var _createClass = function () {function defineProperties(target, props)
{ 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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Trie树(字典树)[模板]
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<p></p><h1> </h1> <hr> <h1> 字典树简介</h1> <p> Trie树一般指字典树</p> <p> 又称单词查找树，Trie树，是一种树形结构，是一种哈希树的变种。典型应用是用于统计，排序和保存大量的字符串（但不仅限于字符串），所以经常被搜索引擎系统用于文本词频统计。它的优点是：利用字符串的公共前缀来减少查询时间，最大限度地减少无谓的字符串比较，查询效率比哈希树高。</p> <h2>性质</h2> <p>它有3个基本性质：</p> <blockquote> <p><span style="color: rgb(51,153,234);">（1）根节点不包含字符，除根节点外每一个节点都只包含一个字符；</span></p> <p><span style="color: rgb(51,153,234);">（2）从根节点到某节点，路径上经过的字符连接起来，为该节点对应的字符串；</span></p> <p><span style="color: rgb(51,153,234);">（3）每个节点的所有子节点包含的字符都不相同。</span></p> </blockquote> <p><a name="2"></a><a name="sub2759664_2"></a><a></a></p> <h2>基本操作</h2> <p> 其基本操作有：查找、插入和删除,当然删除操作比较少见。</p> <p><a name="3"></a><a name="sub2759664_3"></a><a></a></p> <h2>实现方法</h2> <p>搜索字典项目的方法为：</p> <blockquote> <p><span style="color: rgb(51,153,234);">(1) 从根结点开始一次搜索；</span></p> <p><span style="color: rgb(51,153,234);">(2) 取得要查找关键词的第一个字母，并根据该字母选择对应的子树并转到该子树继续进行检索；</span></p> <p><span style="color: rgb(51,153,234);">(3) 在相应的子树上，取得要查找关键词的第二个字母,并进一步选择对应的子树进行检索。</span></p> <p><span style="color: rgb(51,153,234);">(4) 迭代过程……</span></p> <p><span style="color: rgb(51,153,234);">(5) 在某个结点处，关键词的所有字母已被取出，则读取附在该结点上的信息，即完成查找。</span></p> </blockquote> <p>其他操作类似处理</p> <p><a name="4"></a><a name="sub2759664_4"></a><a></a></p> <h2>应用</h2> <p><a name="4_1"></a><a name="sub2759664_4_1"></a><a></a><a name="4-1"></a></p> <h3>串的快速检索</h3> <p>给出N个单词组成的熟词表，以及一篇全用小写英文书写的文章，请你按最早出现的顺序写出所有不在熟词表中的生词。</p> <p>在这道题中，我们可以用数组枚举，用哈希，用字典树，先把熟词建一棵树，然后读入文章进行比较，这种方法效率是比较高的。</p> <p><a name="4_2"></a><a name="sub2759664_4_2"></a><a></a><a name="4-2"></a></p> <h3>“串”排序</h3> <p>给定N个互不相同的仅由一个单词构成的英文名，让你将他们按字典序从小到大输出</p> <p>用字典树进行排序，采用数组的方式创建字典树，这棵树的每个结点的所有儿子很显然地按照其字母大小排序。对这棵树进行先序遍历即可。</p> <p><a name="4_3"></a><a name="sub2759664_4_3"></a><a></a><a name="4-3"></a></p> <h3>最长公共前缀</h3> <p>对所有串建立字典树，对于两个串的最长公共前缀的长度即他们所在的结点的公共祖先个数，于是，问题就转化为当时公共祖先问题。</p> <p> </p> <hr> <p> </p> <p> 列如 ：我们有and,as,at,cn,com这些关键词，将如下建树</p> <p> </p> <p><img src="https://uploadfiles.nowcoder.com/images/20190720/683055227_1563577927262_8EE1A140D57287155C2239319DC8E2EC" data-original="https://uploadfiles.nowcoder.com/images/20190720/683055227_1563577927262_8EE1A140D57287155C2239319DC8E2EC"></p> <p> </p> <p> 代码实现：</p> <p> <span style="color: rgb(243,59,69);"> trie[root][id]=tot; root 为 根节点（父节点），id 为子节点或字符的映射，tot 为节点的编号 或者标记</span></p> <p>（1）插入操作：</p> <div class="has"><p></p>