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<!DOCTYPE html>
<html lang="zh-CN">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0, maximum-scale=1.0, user-scalable=no">
<title>最优装载问题 - 全算法演示套件</title>
<script src="https://cdn.tailwindcss.com"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/qrcodejs/1.0.0/qrcode.min.js"></script>
<style>
body {
font-family: 'Segoe UI', 'Microsoft YaHei', sans-serif;
background-color: #f0f9ff;
/* 强制隐藏水平滚动条，防止页面被撑宽 */
overflow-x: hidden;
overflow-y: auto;
user-select: none;
-webkit-tap-highlight-color: transparent;
}
.container-box {
transition: transform 0.4s cubic-bezier(0.25, 1, 0.5, 1),
opacity 0.3s ease,
background-color 0.3s ease,
box-shadow 0.3s ease;
box-shadow: 0 4px 6px -1px rgba(0, 0, 0, 0.1);
will-change: transform, opacity;
z-index: 10;
}
.container-box.scanning {
box-shadow: 0 0 15px 5px rgba(59, 130, 246, 0.6);
transform: scale(1.1);
z-index: 20;
}
.container-box.selected-dp {
border: 4px solid #10b981;
transform: translateY(-5px);
}
@media (min-width: 768px) {
.container-box.selected-dp {
border: 4px solid #10b981;
transform: translateY(-10px);
}
}
.container-box.best-solution {
box-shadow: 0 0 20px rgba(16, 185, 129, 0.6);
border: 3px solid #10b981;
}
.ship-hull {
clip-path: polygon(0 0, 100% 0, 85% 100%, 15% 100%);
transition: transform 0.5s ease;
}
.water-wave {
animation: wave 3s ease-in-out infinite alternate;
}
@keyframes wave {
from { transform: translateY(0); }
to { transform: translateY(10px); }
}
.scan-line {
position: absolute;
top: 0; bottom: 0; left: 0;
width: 4px;
background: rgba(59, 130, 246, 0.8);
box-shadow: 0 0 20px 5px rgba(59, 130, 246, 0.5);
opacity: 0;
pointer-events: none;
z-index: 30;
}
.active\:scale-95:active {
transform: scale(0.95);
}
/* 树形视图样式 */
#tree-view-area {
overflow-x: auto;
overflow-y: hidden;
background-color: #ffffff;
border-radius: 12px;
box-shadow: inset 0 0 20px rgba(0,0,0,0.05);
cursor: grab;
/* 隐藏滚动条但允许滚动 */
scrollbar-width: thin;
}
#tree-view-area:active {
cursor: grabbing;
}
</style>
</head>
<body class="h-screen flex flex-col items-center justify-between p-2 md:p-4 pb-0">
<!-- 顶部数据面板 -->
<div class="w-full max-w-5xl flex flex-col items-center md:flex-row md:items-start md:justify-between z-20 mt-2 space-y-4 md:space-y-0">
<!-- 中间：状态显示 (Order 1) -->
<div class="order-1 md:order-2 w-full md:flex-1 md:px-8 flex flex-col items-center">
<div id="status-bar" class="bg-white/90 backdrop-blur px-4 py-2 md:px-6 md:py-3 rounded-full shadow-lg border border-yellow-200 text-yellow-800 font-bold text-sm md:text-lg mb-2 md:mb-4 transition-all duration-300 transform translate-y-0 opacity-100 text-center w-full max-w-sm">
准备就绪：请选择算法并点击开始
</div>
<!-- 仪表盘 -->
<div class="bg-white p-3 md:p-4 rounded-2xl shadow-xl border border-gray-100 flex items-center justify-between md:justify-center md:space-x-8 w-full max-w-sm">
<div class="text-center flex-1">
<div class="text-[10px] md:text-xs text-gray-400 font-bold uppercase">船只载重</div>
<div class="text-2xl md:text-3xl font-black text-slate-700" id="capacity-display">80</div>
</div>
<div class="h-8 md:h-12 w-px bg-gray-100"></div>
<div class="text-center flex-1">
<div class="text-[10px] md:text-xs text-gray-400 font-bold uppercase">当前载重</div>
<div class="text-2xl md:text-3xl font-black text-green-600 transition-all duration-300 scale-100" id="current-weight-display">0</div>
</div>
<div class="h-8 md:h-12 w-px bg-gray-100"></div>
<div class="text-center flex-1">
<div class="text-[10px] md:text-xs text-gray-400 font-bold uppercase">装载数量</div>
<div class="text-2xl md:text-3xl font-black text-purple-600" id="count-display">0</div>
</div>
<div id="best-score-panel" class="hidden pl-2 md:pl-8 border-l border-gray-100 text-center flex-1">
<div class="text-[10px] md:text-xs text-gray-400 font-bold uppercase text-red-500">历史最佳</div>
<div class="text-2xl md:text-3xl font-black text-red-500" id="best-display">0</div>
</div>
</div>
</div>
<!-- 左侧：算法选择器 (Order 2) -->
<div class="order-2 md:order-1 bg-white p-2 rounded-xl shadow-lg border border-blue-100 flex flex-col space-y-2 w-full max-w-sm md:w-64">
<div class="text-xs font-bold text-gray-400 uppercase tracking-wider px-2 text-center md:text-left">选择算法策略</div>
<div class="grid grid-cols-3 gap-2 md:flex md:flex-col md:gap-0 md:space-y-2">
<button onclick="switchMode('greedy')" id="tab-greedy" class="algo-tab px-2 py-2 md:px-4 md:py-3 rounded-lg text-center md:text-left font-bold transition flex flex-col md:flex-row items-center md:justify-between bg-blue-50 text-blue-700 ring-2 ring-blue-500 text-xs md:text-base">
<span>贪心算法</span>
<span class="hidden md:inline text-xs bg-blue-200 text-blue-800 px-2 py-0.5 rounded">排序+选择</span>
</button>
<button onclick="switchMode('backtrack')" id="tab-backtrack" class="algo-tab px-2 py-2 md:px-4 md:py-3 rounded-lg text-center md:text-left font-bold text-gray-600 hover:bg-gray-50 transition flex flex-col md:flex-row items-center md:justify-between text-xs md:text-base">
<span>回溯法</span>
<span class="hidden md:inline text-xs bg-gray-200 text-gray-600 px-2 py-0.5 rounded">深度试错</span>
</button>
<button onclick="switchMode('dp')" id="tab-dp" class="algo-tab px-2 py-2 md:px-4 md:py-3 rounded-lg text-center md:text-left font-bold text-gray-600 hover:bg-gray-50 transition flex flex-col md:flex-row items-center md:justify-between text-xs md:text-base">
<span>动态规划</span>
<span class="hidden md:inline text-xs bg-gray-200 text-gray-600 px-2 py-0.5 rounded">全局最优</span>
</button>
</div>
<div class="hidden md:block h-px bg-gray-200 my-2"></div>
<!-- 操作按钮组 -->
<div class="grid grid-cols-2 gap-2 mt-2 md:mt-0">
<button onclick="initContainers()" class="py-2 bg-gray-100 hover:bg-gray-200 text-gray-600 rounded-lg font-bold text-xs md:text-sm transition">
🎲 生成新数据
</button>
<button onclick="resetAndRun()" id="btn-run" class="col-span-1 py-2 bg-gradient-to-r from-blue-600 to-indigo-600 hover:from-blue-700 hover:to-indigo-700 text-white rounded-lg font-bold text-xs md:text-sm shadow-lg shadow-blue-500/30 transition transform active:scale-95">
▶ 开始演示
</button>
</div>
<!-- 视图切换按钮 (仅回溯法显示 + 仅PC端显示) -->
<!-- 增加了一个父级 div 带有 hidden md:block，强制手机端隐藏 -->
<div class="hidden md:block w-full">
<button onclick="toggleView()" id="btn-toggle-view" class="hidden w-full mt-2 py-2 bg-amber-100 hover:bg-amber-200 text-amber-800 rounded-lg font-bold text-xs md:text-sm transition items-center justify-center space-x-1 border border-amber-300">
<span>🌳</span>
<span id="view-toggle-text">切换：解空间树视图</span>
</button>
</div>
</div>
<!-- 右侧：图例 -->
<div class="order-3 hidden md:flex w-48 bg-white/80 backdrop-blur p-4 rounded-xl text-sm space-y-2 shadow-sm border border-gray-100 flex-col">
<div class="font-bold text-gray-700 mb-2">图示说明</div>
<div class="flex items-center space-x-2"><div class="w-3 h-3 rounded-full bg-green-500"></div><span class="text-gray-600">较轻 (优选)</span></div>
<div class="flex items-center space-x-2"><div class="w-3 h-3 rounded-full bg-red-500"></div><span class="text-gray-600">较重 (慎选)</span></div>
<div class="flex items-center space-x-2"><div class="w-3 h-3 border-2 border-yellow-400"></div><span class="text-gray-600">正在计算</span></div>
<div class="h-px bg-gray-200 my-2 w-full"></div>
<div class="flex flex-col items-center justify-center pt-1">
<div id="qrcode" class="bg-white p-1 rounded shadow-sm"></div>
<div class="text-xs text-gray-500 mt-2 font-bold text-center">手机扫码模拟</div>
<div class="text-xs text-gray-500 mt-2 font-bold text-center">或输入sf.zakee.fun</div>
</div>
</div>
</div>
<!-- 主视图区域：包含 装载视图 和 树形视图 -->
<div class="w-full max-w-6xl flex-1 relative flex flex-col justify-end mb-4 perspective-1000 mt-4 md:mt-0">
<!-- 1. 装载视图 (默认显示) -->
<div id="loading-view" class="w-full h-full flex flex-col justify-end transition-opacity duration-300">
<!-- 码头区域 -->
<div class="w-full h-24 md:h-40 relative flex justify-center items-end mb-2 md:mb-4" id="dock-area">
<div id="scan-line" class="scan-line"></div>
</div>
<!-- 船只区域 -->
<div class="relative w-full h-48 md:h-64 flex flex-col items-center justify-end z-10 pb-4">
<div id="ship-deck" class="w-[90%] md:w-[85%] h-32 md:h-48 flex flex-wrap-reverse content-start justify-center gap-1 mb-[-2px] z-20 relative px-2 md:px-8"></div>
<div id="ship-body" class="ship-hull w-full h-28 md:h-36 bg-gradient-to-b from-slate-700 to-slate-900 flex flex-col items-center justify-end relative shadow-2xl z-10 pt-2 md:pt-4 pb-2">
<div class="absolute right-6 md:right-12 top-0 bottom-0 w-1.5 md:w-2 flex flex-col justify-between py-4 opacity-50 pointer-events-none">
<div class="w-full h-0.5 bg-red-500"></div>
<div class="w-full h-0.5 bg-white"></div>
<div class="w-full h-0.5 bg-red-500"></div>
</div>
<div class="z-20 flex flex-col items-center justify-between h-full w-full">
<div class="text-slate-500 font-bold tracking-[0.2em] text-xs md:text-lg opacity-60 select-none uppercase mt-1">powered by zakee</div>
<div class="w-2/3 md:w-1/2 flex flex-col items-center mb-1">
<div class="text-[8px] md:text-[10px] text-gray-500 uppercase tracking-widest mb-1">Load Capacity</div>
<div class="h-2 md:h-3 bg-gray-800 rounded-full overflow-hidden border border-gray-600 shadow-inner w-full">
<div id="progress-bar" class="h-full bg-gradient-to-r from-emerald-400 to-emerald-600 w-0 transition-all duration-300"></div>
</div>
</div>
<a href="https://zakee.fun" target="_blank" class="mb-2 px-3 py-1 bg-blue-500/80 hover:bg-blue-600 text-white text-[10px] rounded-full shadow-lg backdrop-blur-sm transition-all transform hover:scale-105 no-underline flex items-center space-x-1 border border-blue-400/30">
<span>访问博客主站</span>
</a>
</div>
</div>
<div class="absolute bottom-[-20px] left-[-50%] right-[-50%] h-20 md:h-28 bg-blue-400/30 water-wave z-20 pointer-events-none"></div>
<div class="absolute bottom-[-35px] left-[-50%] right-[-50%] h-20 md:h-28 bg-blue-600/20 water-wave z-0" style="animation-delay: -1.5s;"></div>
</div>
</div>
<!-- 2. 解空间树视图 (默认隐藏) -->
<div id="tree-view-area" class="hidden absolute inset-0 z-50 border-2 border-gray-200">
<canvas id="tree-canvas" class="block"></canvas>
<div class="absolute top-2 left-2 bg-white/90 p-2 rounded text-xs text-gray-500 shadow pointer-events-none">
<div class="flex items-center space-x-1">
<span class="w-2 h-2 rounded-full bg-blue-500"></span><span>搜索中</span>
<span class="w-2 h-2 rounded-full bg-green-500 ml-2"></span><span>最优</span>
<span class="w-2 h-2 rounded-full bg-gray-400 ml-2"></span><span>已探索</span>
<span class="w-2 h-2 rounded-full bg-gray-200 ml-2"></span><span>剪枝</span>
</div>
</div>
</div>
</div>
<script>
// === 游戏配置 ===
const CONTAINER_COUNT = 7;
const CAPACITY = 80;
const TARGET_URL = "https://sf.zakee.fun";
let containers = [];
let currentMode = 'greedy';
let isRunning = false;
let isTreeView = false;
let currentWeight = 0;
let loadedCount = 0;
let bestCount = 0;
let bestSolutionIds = [];
let bestPathTreeNodes = [];
// 树相关数据 - 紧凑版
let treeNodes = {};
let treeCanvas = null;
let treeCtx = null;
const TREE_NODE_RADIUS = 10; // 减小半径
const TREE_LEVEL_HEIGHT = 50; // 减小层高
const TREE_CANVAS_WIDTH = 2000; // 显著减小宽度
const TREE_CANVAS_HEIGHT = 500;
const els = {
dock: document.getElementById('dock-area'),
deck: document.getElementById('ship-deck'),
ship: document.getElementById('ship-body'),
weight: document.getElementById('current-weight-display'),
capacity: document.getElementById('capacity-display'),
count: document.getElementById('count-display'),
bestPanel: document.getElementById('best-score-panel'),
best: document.getElementById('best-display'),
bar: document.getElementById('progress-bar'),
status: document.getElementById('status-bar'),
btn: document.getElementById('btn-run'),
scanLine: document.getElementById('scan-line'),
qrContainer: document.getElementById('qrcode'),
loadingView: document.getElementById('loading-view'),
treeView: document.getElementById('tree-view-area'),
treeCanvas: document.getElementById('tree-canvas'),
toggleViewBtn: document.getElementById('btn-toggle-view'),
toggleViewText: document.getElementById('view-toggle-text')
};
// === 初始化 ===
function init() {
initContainers();
generateQRCode();
initTreeCanvas();
}
function initTreeCanvas() {
treeCanvas = els.treeCanvas;
treeCtx = treeCanvas.getContext('2d');
const dpr = window.devicePixelRatio || 1;
treeCanvas.width = TREE_CANVAS_WIDTH * dpr;
treeCanvas.height = TREE_CANVAS_HEIGHT * dpr;
treeCanvas.style.width = TREE_CANVAS_WIDTH + 'px';
treeCanvas.style.height = TREE_CANVAS_HEIGHT + 'px';
treeCtx.scale(dpr, dpr);
// 初始居中滚动
els.treeView.scrollLeft = (TREE_CANVAS_WIDTH - els.treeView.clientWidth) / 2;
}
function initContainers() {
if (isRunning) return;
containers = [];
if(els.capacity) els.capacity.innerText = CAPACITY;
for (let i = 0; i < CONTAINER_COUNT; i++) {
const weight = Math.floor(Math.random() * 25) + 8;
const hue = Math.max(0, 130 - (weight * 3.5));
const color = `hsl(${hue}, 75%, 45%)`;
const el = document.createElement('div');
const baseClass = 'container-box w-12 h-12 md:w-16 md:h-16 rounded-lg md:rounded-xl flex items-center justify-center text-white font-bold text-sm md:text-xl relative m-1 shadow-lg border border-white/20';
el.className = baseClass;
el.style.backgroundColor = color;
el.innerHTML = `<div class="flex flex-col items-center leading-none"><span>${weight}</span><span class="text-[8px] md:text-[9px] opacity-60 mt-0.5">TON</span></div>`;
containers.push({ id: i, weight: weight, el: el, color: color, baseClass: baseClass, isLoaded: false });
}
shuffleContainers();
resetTreeData();
drawTree();
setStatus("已生成新数据，请选择算法开始");
}
function shuffleContainers() {
containers.sort(() => Math.random() - 0.5);
els.dock.innerHTML = '';
els.dock.appendChild(els.scanLine);
containers.forEach(c => {
c.el.className = c.baseClass;
c.el.style.order = 'unset';
c.el.style.opacity = '1';
c.el.style.transform = 'scale(1)';
c.el.style.backgroundColor = c.color;
c.el.style.border = '1px solid rgba(255,255,255,0.2)';
c.el.style.position = 'static';
c.el.style.margin = '4px';
c.isLoaded = false;
els.dock.appendChild(c.el);
});
resetStats();
}
function resetStats() {
currentWeight = 0;
loadedCount = 0;
bestCount = 0;
bestSolutionIds = [];
bestPathTreeNodes = [];
updateUI();
els.ship.style.transform = 'translateY(0)';
els.bar.style.width = '0%';
els.bar.className = 'h-full bg-gradient-to-r from-emerald-400 to-emerald-600 w-0 transition-all duration-300';
els.deck.innerHTML = '';
els.best.innerText = '0';
}
// === 树形视图逻辑 ===
function resetTreeData() {
treeNodes = {};
const rootX = TREE_CANVAS_WIDTH / 2;
const rootY = 30; // 顶部留白减少
treeNodes[1] = { x: rootX, y: rootY, status: 'visiting', parent: null };
}
function getOrCreateNode(index) {
if (treeNodes[index]) return treeNodes[index];
const parentIndex = Math.floor(index / 2);
const parent = treeNodes[parentIndex];
if (!parent) return null;
const level = Math.floor(Math.log2(index));
// 调整：初始间距减小，缩放因子调整为 1.2 以减小宽度爆炸
const initialGap = TREE_CANVAS_WIDTH / 3.5;
const gap = initialGap / Math.pow(1.9, level - 1);
const isLeft = index % 2 === 0;
const x = parent.x + (isLeft ? -1 : 1) * gap;
const y = parent.y + TREE_LEVEL_HEIGHT;
treeNodes[index] = { x: x, y: y, status: 'pending', parent: parentIndex };
return treeNodes[index];
}
function updateNodeStatus(index, status) {
const node = getOrCreateNode(index);
if(node) {
node.status = status;
drawTree();
}
}
function drawTree() {
if (!treeCtx) return;
treeCtx.clearRect(0, 0, TREE_CANVAS_WIDTH, TREE_CANVAS_HEIGHT);
treeCtx.lineWidth = 2;
Object.keys(treeNodes).forEach(key => {
const node = treeNodes[key];
if (node.parent) {
const parent = treeNodes[node.parent];
let strokeStyle = '#e5e7eb';
if (bestPathTreeNodes.includes(parseInt(key)) && bestPathTreeNodes.includes(node.parent)) {
strokeStyle = '#22c55e';
treeCtx.lineWidth = 3;
} else if (node.status === 'visiting') {
strokeStyle = '#3b82f6';
treeCtx.lineWidth = 2;
} else if (node.status === 'pruned' || node.status === 'pruned-bound') {
strokeStyle = '#e5e7eb';
treeCtx.lineWidth = 1;
} else {
strokeStyle = '#9ca3af';
treeCtx.lineWidth = 1.5;
}
treeCtx.beginPath();
treeCtx.moveTo(parent.x, parent.y);
treeCtx.lineTo(node.x, node.y);
treeCtx.strokeStyle = strokeStyle;
treeCtx.stroke();
if (node.status.startsWith('pruned')) {
const midX = (parent.x + node.x) / 2;
const midY = (parent.y + node.y) / 2;
drawCross(midX, midY);
}
}
});
Object.keys(treeNodes).forEach(key => {
const node = treeNodes[key];
const isBest = bestPathTreeNodes.includes(parseInt(key));
treeCtx.beginPath();
treeCtx.arc(node.x, node.y, TREE_NODE_RADIUS, 0, 2 * Math.PI);
if (isBest) {
treeCtx.fillStyle = '#22c55e';
treeCtx.strokeStyle = '#15803d';
} else if (node.status === 'visiting') {
treeCtx.fillStyle = '#3b82f6';
treeCtx.strokeStyle = '#1d4ed8';
} else if (node.status.startsWith('pruned')) {
treeCtx.fillStyle = '#f3f4f6';
treeCtx.strokeStyle = '#d1d5db';
} else {
treeCtx.fillStyle = '#6b7280';
treeCtx.strokeStyle = '#374151';
}
treeCtx.fill();
treeCtx.lineWidth = 1.5;
treeCtx.stroke();
});
}
function drawCross(x, y) {
const size = 4;
treeCtx.beginPath();
treeCtx.moveTo(x - size, y - size);
treeCtx.lineTo(x + size, y + size);
treeCtx.moveTo(x + size, y - size);
treeCtx.lineTo(x - size, y + size);
treeCtx.strokeStyle = '#ef4444';
treeCtx.lineWidth = 2;
treeCtx.stroke();
}
function toggleView() {
isTreeView = !isTreeView;
if (isTreeView) {
els.loadingView.classList.add('hidden');
els.treeView.classList.remove('hidden');
els.toggleViewText.innerText = '切换：装载视图';
drawTree();
} else {
els.treeView.classList.add('hidden');
els.loadingView.classList.remove('hidden');
els.toggleViewText.innerText = '切换：解空间树视图';
}
}
function switchMode(mode) {
if (isRunning) return;
currentMode = mode;
document.querySelectorAll('.algo-tab').forEach(t => {
t.classList.remove('bg-blue-50', 'text-blue-700', 'ring-2', 'ring-blue-500');
t.classList.add('text-gray-600', 'hover:bg-gray-50');
});
const activeTab = document.getElementById(`tab-${mode}`);
activeTab.classList.remove('text-gray-600', 'hover:bg-gray-50');
activeTab.classList.add('bg-blue-50', 'text-blue-700', 'ring-2', 'ring-blue-500');
if (mode === 'backtrack') {
els.bestPanel.classList.remove('hidden');
els.toggleViewBtn.classList.remove('hidden');
els.toggleViewBtn.classList.add('flex');
setStatus("回溯法：通过【试错】与【回退】寻找最优解");
} else {
els.bestPanel.classList.add('hidden');
els.toggleViewBtn.classList.add('hidden');
els.toggleViewBtn.classList.remove('flex');
if (isTreeView) toggleView();
if (mode === 'dp') setStatus("动态规划：扫描并计算全局，直接得出最优组合");
else setStatus("贪心算法：按重量排序，优先装最轻的");
}
shuffleContainers();
resetTreeData();
drawTree();
}
async function resetAndRun() {
if (isRunning) return;
isRunning = true;
els.btn.disabled = true;
els.btn.classList.add('opacity-50', 'cursor-not-allowed');
els.btn.innerText = '演示进行中...';
els.toggleViewBtn.disabled = false;
if (els.deck.children.length > 0) {
shuffleContainers();
await sleep(500);
}
resetStats();
resetTreeData();
drawTree();
if (currentMode === 'greedy') await runGreedy();
else if (currentMode === 'backtrack') await runBacktrack();
else if (currentMode === 'dp') await runDP();
isRunning = false;
els.btn.disabled = false;
els.btn.classList.remove('opacity-50', 'cursor-not-allowed');
els.btn.innerText = '▶ 开始演示';
setStatus(`${getModeName()}演示结束！`);
}
function generateQRCode() {
if (window.innerWidth >= 768) {
els.qrContainer.innerHTML = '';
new QRCode(els.qrContainer, {
text: TARGET_URL,
width: 120,
height: 120,
colorDark : "#000000",
colorLight : "#ffffff",
correctLevel : QRCode.CorrectLevel.H
});
}
}
async function runGreedy() {
setStatus("步骤 1：按重量从小到大排序");
containers.sort((a, b) => a.weight - b.weight);
for(let i=0; i<containers.length; i++) {
containers[i].el.style.order = i;
containers[i].el.animate([{ transform: 'scale(1.1)', offset: 0.5 }, { transform: 'scale(1)' }], 300);
await sleep(100);
}
await sleep(500);
setStatus("步骤 2：依次装载 (遇到超重停止)");
for (let c of containers) {
c.el.style.transform = 'translateY(-15px)';
c.el.style.boxShadow = '0 10px 15px -3px rgba(0, 0, 0, 0.2)';
await sleep(500);
if (currentWeight + c.weight <= CAPACITY) {
await moveContainerToDeck(c);
currentWeight += c.weight;
loadedCount++;
updateUI();
} else {
c.el.style.backgroundColor = '#ef4444';
c.el.animate([
{ transform: 'translateY(-15px) rotate(0)' },
{ transform: 'translateY(-15px) rotate(-5deg)' },
{ transform: 'translateY(-15px) rotate(5deg)' },
{ transform: 'translateY(0) rotate(0)' }
], 400);
setStatus(`重量 ${c.weight} 装不下，算法终止`);
await sleep(1000);
break;
}
}
}
async function runBacktrack() {
setStatus("开始深度优先搜索 (支持切换解空间树视图)");
bestSolutionIds = [];
bestPathTreeNodes = [];
let pathStack = [1];
await backtrackRecursive(0, 1, pathStack);
setStatus(`搜索完成！发现最优解：${bestCount} 个。正在复现最优方案...`);
if (isTreeView) toggleView();
await sleep(1000);
for (let id of bestSolutionIds) {
const c = containers.find(x => x.id === id);
if (c) {
c.el.classList.add('best-solution');
await moveContainerToDeck(c);
c.el.classList.remove('best-solution');
currentWeight += c.weight;
loadedCount++;
updateUI();
await sleep(200);
}
}
setStatus(`回溯法演示结束。最优装载量：${bestCount}`);
}
async function backtrackRecursive(index, treeIdx, pathStack) {
updateNodeStatus(treeIdx, 'visiting');
await sleep(300);
if (index >= containers.length) {
updateNodeStatus(treeIdx, 'explored');
if (loadedCount > bestCount) {
bestCount = loadedCount;
els.best.innerText = bestCount;
els.best.parentElement.animate([{ opacity: 0.5 }, { opacity: 1 }], 200);
bestSolutionIds = containers.filter(c => c.isLoaded).map(c => c.id);
bestPathTreeNodes = [...pathStack];
drawTree();
}
return;
}
const c = containers[index];
if (loadedCount + (containers.length - index) <= bestCount) {
updateNodeStatus(treeIdx, 'pruned-bound');
c.el.style.opacity = '0.3';
await sleep(200);
c.el.style.opacity = '1';
return;
}
const leftTreeIdx = treeIdx * 2;
pathStack.push(leftTreeIdx);
c.el.style.border = '3px solid #3b82f6';
await sleep(200);
if (currentWeight + c.weight <= CAPACITY) {
await moveContainerToDeck(c, true);
currentWeight += c.weight;
loadedCount++;
updateUI();
await backtrackRecursive(index + 1, leftTreeIdx, pathStack);
setStatus("回溯：撤销选择");
await moveContainerToDock(c);
currentWeight -= c.weight;
loadedCount--;
updateUI();
} else {
updateNodeStatus(leftTreeIdx, 'pruned');
c.el.style.backgroundColor = '#ef4444';
await sleep(300);
c.el.style.backgroundColor = c.color;
}
c.el.style.border = '1px solid rgba(255,255,255,0.2)';
pathStack.pop();
const rightTreeIdx = treeIdx * 2 + 1;
pathStack.push(rightTreeIdx);
c.el.style.opacity = '0.4';
await sleep(200);
await backtrackRecursive(index + 1, rightTreeIdx, pathStack);
c.el.style.opacity = '1';
pathStack.pop();
updateNodeStatus(treeIdx, 'explored');
}
async function runDP() {
setStatus("计算阶段：状态转移方程扫描中...");
els.scanLine.style.opacity = '1';
els.scanLine.animate([{ left: '0%' }, { left: '100%' }], { duration: 1500, iterations: 2 });
for(let c of containers) {
c.el.classList.add('scanning');
await sleep(150);
c.el.classList.remove('scanning');
}
els.scanLine.style.opacity = '0';
const n = containers.length;
const dp = Array(CAPACITY + 1).fill(0);
const keep = Array(n).fill(null).map(() => Array(CAPACITY + 1).fill(false));
for (let i = 0; i < n; i++) {
const w = containers[i].weight;
for (let j = CAPACITY; j >= w; j--) {
if (dp[j-w] + 1 > dp[j]) {
dp[j] = dp[j-w] + 1;
keep[i][j] = true;
}
}
}
let k = CAPACITY;
const selectedItems = [];
for (let i = n - 1; i >= 0; i--) {
if (keep[i][k]) {
selectedItems.push(containers[i]);
k -= containers[i].weight;
}
}
setStatus(`计算完成！最优解包含 ${selectedItems.length} 个集装箱`);
await sleep(500);
for (let c of selectedItems) {
c.el.classList.add('selected-dp');
}
await sleep(1000);
setStatus("执行装载方案");
for (let i = selectedItems.length - 1; i >= 0; i--) {
const c = selectedItems[i];
c.el.classList.remove('selected-dp');
if (currentWeight + c.weight <= CAPACITY) {
await moveContainerToDeck(c);
currentWeight += c.weight;
loadedCount++;
updateUI();
}
}
}
async function moveContainerToDeck(c, fast = false) {
c.isLoaded = true;
const rectStart = c.el.getBoundingClientRect();
const placeholder = document.createElement('div');
placeholder.className = 'w-12 h-12 md:w-16 md:h-16 m-1';
c.el.parentNode.insertBefore(placeholder, c.el);
c.el.style.position = 'fixed';
c.el.style.left = rectStart.left + 'px';
c.el.style.top = rectStart.top + 'px';
c.el.style.margin = '0';
c.el.style.zIndex = 100;
document.body.appendChild(c.el);
els.deck.appendChild(placeholder.cloneNode());
const targets = els.deck.children;
const targetEl = targets[targets.length - 1];
const rectEnd = targetEl.getBoundingClientRect();
targetEl.remove();
const duration = fast ? 300 : 600;
const animation = c.el.animate([
{ top: rectStart.top + 'px', left: rectStart.left + 'px', transform: 'scale(1)' },
{ top: (rectStart.top - 50) + 'px', left: rectStart.left + 'px', transform: 'scale(1.1)', offset: 0.3 },
{ top: rectEnd.top + 'px', left: rectEnd.left + 'px', transform: 'scale(1)' }
], { duration: duration, easing: 'cubic-bezier(0.25, 1, 0.5, 1)' });
await animation.finished;
c.el.style.position = 'static';
c.el.style.margin = '2px';
c.el.style.zIndex = 'auto';
els.deck.appendChild(c.el);
placeholder.remove();
}
async function moveContainerToDock(c) {
c.isLoaded = false;
const rectStart = c.el.getBoundingClientRect();
c.el.style.position = 'fixed';
c.el.style.left = rectStart.left + 'px';
c.el.style.top = rectStart.top + 'px';
c.el.style.zIndex = 100;
document.body.appendChild(c.el);
const rectEnd = els.dock.getBoundingClientRect();
const animation = c.el.animate([
{ top: rectStart.top + 'px', left: rectStart.left + 'px' },
{ top: rectEnd.top + 20 + 'px', left: rectEnd.left + 20 + 'px' }
], 300);
await animation.finished;
c.el.style.position = 'static';
c.el.style.margin = '4px';
c.el.style.zIndex = 'auto';
els.dock.appendChild(c.el);
}
function updateUI() {
els.weight.innerText = currentWeight;
els.count.innerText = loadedCount;
const percent = Math.min(100, (currentWeight / CAPACITY) * 100);
els.bar.style.width = `${percent}%`;
els.ship.style.transform = `translateY(${percent / 4}px)`;
if (percent > 90) els.bar.className = 'h-full bg-red-500 transition-all duration-300';
else els.bar.className = 'h-full bg-gradient-to-r from-emerald-400 to-emerald-600 w-0 transition-all duration-300';
}
function setStatus(msg) {
els.status.innerText = msg;
els.status.animate([{ transform: 'scale(1.05)' }, { transform: 'scale(1)' }], 200);
}
function sleep(ms) { return new Promise(r => setTimeout(r, ms)); }
function getModeName() {
if(currentMode==='greedy') return '贪心算法';
if(currentMode==='backtrack') return '回溯法';
return '动态规划';
}
init();
</script>
</body>
</html>