197 lines
7.8 KiB
HTML
197 lines
7.8 KiB
HTML
|
<!DOCTYPE html>
|
|||
|
|
<html lang="zh-Hans">
|
|||
|
|
<head>
|
|||
|
|
<meta charset="UTF-8">
|
|||
|
|
<meta name="viewport" content="width=device-width, initial-scale=1.0">
|
|||
|
|
<title>089. 分割等和子集 – 图解</title>
|
|||
|
|
<link rel="stylesheet" href="../shared/style.css">
|
|||
|
|
<style>
|
|||
|
|
/* page-specific overrides */
|
|||
|
|
.vis-area { min-height: 120px; padding: 16px 0; }
|
|||
|
|
.code-section { margin-top: 16px; }
|
|||
|
|
</style>
|
|||
|
|
</head>
|
|||
|
|
<body>
|
|||
|
|
<div class="container">
|
|||
|
|
<h1>🟡 089. 分割等和子集 <span class="badge medium">中等</span></h1>
|
|||
|
|
<p class="subtitle">分类：动态规划 ｜ LeetCode Hot 100</p>
|
|||
|
|
|
|||
|
|
<!-- 控制面板 -->
|
|||
|
|
<div class="controls" id="controls">
|
|||
|
|
<label for="inputArea">输入：</label>
|
|||
|
|
<input type="text" id="inputArea" placeholder="默认示例，可自定义">
|
|||
|
|
<button id="applyBtn" class="primary">生成图解</button>
|
|||
|
|
<select id="exampleSelect"></select>
|
|||
|
|
<span style="flex:1"></span>
|
|||
|
|
<button id="prevBtn">◀ 上一步</button>
|
|||
|
|
<button id="nextBtn">下一步 ▶</button>
|
|||
|
|
<button id="jumpBtn">⏭ 跳到结果</button>
|
|||
|
|
<button id="autoBtn">自动播放</button>
|
|||
|
|
<button id="resetBtn">重置</button>
|
|||
|
|
</div>
|
|||
|
|
|
|||
|
|
<!-- 步骤流水线 -->
|
|||
|
|
<div class="pipeline" id="pipeline"></div>
|
|||
|
|
|
|||
|
|
<!-- 提示条 -->
|
|||
|
|
<div class="hint info" id="hintBox">
|
|||
|
|
<span id="stepInfo"></span><br>
|
|||
|
|
<span id="hintText"></span>
|
|||
|
|
</div>
|
|||
|
|
|
|||
|
|
<!-- 可视化面板 -->
|
|||
|
|
<div class="panels">
|
|||
|
|
<div class="panel" id="mainPanel">
|
|||
|
|
<h3>📊 可视化</h3>
|
|||
|
|
<div class="vis-area" id="vizArea">点击「生成图解」开始</div>
|
|||
|
|
</div>
|
|||
|
|
<div class="panel-grid">
|
|||
|
|
<div class="panel" id="detailPanel">
|
|||
|
|
<h3>📝 当前步骤详情</h3>
|
|||
|
|
<div id="detailContent">等待开始...</div>
|
|||
|
|
</div>
|
|||
|
|
<div class="panel" id="resultPanel">
|
|||
|
|
<h3>✅ 结果</h3>
|
|||
|
|
<div id="resultContent">等待完成...</div>
|
|||
|
|
</div>
|
|||
|
|
</div>
|
|||
|
|
</div>
|
|||
|
|
|
|||
|
|
<!-- 代码 -->
|
|||
|
|
<div class="panel code-section">
|
|||
|
|
<h3>💻 参考代码（Python）</h3>
|
|||
|
|
<div id="codeArea"></div>
|
|||
|
|
</div>
|
|||
|
|
|
|||
|
|
<footer>Powered by QwenPaw · 图解算法 · LeetCode Hot 100</footer>
|
|||
|
|
</div>
|
|||
|
|
|
|||
|
|
<script src="../shared/algo-viz.js"></script>
|
|||
|
|
<script>
|
|||
|
|
"use strict";
|
|||
|
|
(function() {
|
|||
|
|
// ========== Algorithm Logic ==========
|
|||
|
|
|
|||
|
|
const examples = [
|
|||
|
|
{input: [1,5,11,5], label: '示例1: [1,5,11,5]'},
|
|||
|
|
{input: [1,2,3,5], label: '示例2: [1,2,3,5]'},
|
|||
|
|
{input: [1,1], label: '示例3: [1,1]'},
|
|||
|
|
];
|
|||
|
|
let nums, steps, stepCtrl, target;
|
|||
|
|
|
|||
|
|
function buildSteps(arr) {
|
|||
|
|
nums = [...arr]; steps = [];
|
|||
|
|
const sum = arr.reduce((a,b) => a + b, 0);
|
|||
|
|
if (sum % 2 !== 0) {
|
|||
|
|
target = 0;
|
|||
|
|
steps.push({stage:'done', msg:`总和=${sum}为奇数，无法等分`, dp:null, target:0, itemIdx:-1, curJ:-1});
|
|||
|
|
return;
|
|||
|
|
}
|
|||
|
|
target = sum / 2;
|
|||
|
|
const n = arr.length;
|
|||
|
|
const dp = new Array(target + 1).fill(false);
|
|||
|
|
dp[0] = true;
|
|||
|
|
steps.push({stage:'init', msg:`总和=${sum}，目标=${target}，0-1背包：每件物品选或不选`, dp:[...dp], target, itemIdx:-1, curJ:-1});
|
|||
|
|
for (let i = 0; i < n; i++) {
|
|||
|
|
steps.push({stage:'item', msg:`考虑物品 ${i}：nums[${i}]=${arr[i]}`, dp:[...dp], target, itemIdx:i, curJ:-1});
|
|||
|
|
for (let j = target; j >= arr[i]; j--) {
|
|||
|
|
if (dp[j - arr[i]] && !dp[j]) {
|
|||
|
|
dp[j] = true;
|
|||
|
|
steps.push({stage:'fill', msg:`dp[${j}] = dp[${j}-${arr[i]}] = dp[${j-arr[i]}] = true → dp[${j}]=true`, dp:[...dp], target, itemIdx:i, curJ:j});
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
if (dp[target]) {
|
|||
|
|
steps.push({stage:'done', msg:`已找到和为 ${target} 的子集，可以等分！`, dp:[...dp], target, itemIdx:i, curJ:target});
|
|||
|
|
return;
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
steps.push({stage:'done', msg:`无法找到和为 ${target} 的子集`, dp:[...dp], target, itemIdx:-1, curJ:-1});
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
function render(step) {
|
|||
|
|
const s = steps[step];
|
|||
|
|
if (!s.dp) {
|
|||
|
|
$('vizArea').innerHTML = '<div class="formula-box">总和为奇数，直接返回 false</div>';
|
|||
|
|
$('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
|
|||
|
|
$('resultContent').innerHTML = '<div class="final-answer" style="border-color:#f87171;background:#fef2f2;">无法等分</div>';
|
|||
|
|
$('hintText').textContent = s.msg;
|
|||
|
|
$('pipeline').innerHTML = '<span class="pipe-step active">完成</span>';
|
|||
|
|
return;
|
|||
|
|
}
|
|||
|
|
let viz = '<div style="margin-top:8px;"><b>物品：</b></div>';
|
|||
|
|
viz += '<div style="display:flex;gap:4px;margin:4px 0;">';
|
|||
|
|
nums.forEach((v, i) => {
|
|||
|
|
const cls = i === s.itemIdx ? 'orange' : (i < s.itemIdx || s.stage==='done' ? 'green' : 'default');
|
|||
|
|
viz += `<span class="chip ${cls}" style="min-width:36px;">${v}</span>`;
|
|||
|
|
});
|
|||
|
|
viz += '</div>';
|
|||
|
|
viz += `<div style="margin-top:8px;"><b>dp 表（容量 0~${s.target}）：</b></div>`;
|
|||
|
|
viz += '<div style="display:flex;flex-wrap:wrap;gap:3px;margin:4px 0;">';
|
|||
|
|
for (let j = 0; j <= s.target; j++) {
|
|||
|
|
let cls = s.dp[j] ? 'green' : 'default';
|
|||
|
|
if (j === s.curJ) cls = 'orange';
|
|||
|
|
viz += `<span class="chip-group"><span class="chip ${cls}" style="min-width:28px;font-size:12px;height:26px;">${s.dp[j]?'T':'F'}</span><span class="chip-index">${j}</span></span>`;
|
|||
|
|
}
|
|||
|
|
viz += '</div>';
|
|||
|
|
$('vizArea').innerHTML = viz;
|
|||
|
|
|
|||
|
|
$('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
|
|||
|
|
if (s.dp[s.target]) {
|
|||
|
|
$('detailContent').innerHTML += `<div class="current-answer">dp[${s.target}] = <b>true</b></div>`;
|
|||
|
|
}
|
|||
|
|
if (s.stage === 'done') {
|
|||
|
|
if (s.dp && s.dp[s.target]) {
|
|||
|
|
$('resultContent').innerHTML = `<div class="final-answer">可以等分为两个子集，和各为 <b>${s.target}</b> ✅</div>`;
|
|||
|
|
} else {
|
|||
|
|
$('resultContent').innerHTML = '<div class="final-answer" style="border-color:#f87171;background:#fef2f2;">无法等分 ❌</div>';
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
$('hintText').textContent = s.msg;
|
|||
|
|
const stages = ['init→初始化','item→物品','fill→填充','done→完成'];
|
|||
|
|
$('pipeline').innerHTML = stages.map(st => {
|
|||
|
|
const [k,l] = st.split('→');
|
|||
|
|
return `<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`;
|
|||
|
|
}).join('<i>→</i>');
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
function init() {
|
|||
|
|
const sel = $('exampleSelect');
|
|||
|
|
examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
|
|||
|
|
$('inputArea').value = '[1,5,11,5]';
|
|||
|
|
buildSteps(examples[0].input);
|
|||
|
|
stepCtrl = new StepController({onStep: render});
|
|||
|
|
stepCtrl.setSteps(steps.map((_,i)=>i));
|
|||
|
|
$('stepInfo').textContent = '步骤 1 / ' + steps.length;
|
|||
|
|
stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
|
|||
|
|
$('applyBtn').onclick = () => {
|
|||
|
|
try { const arr = JSON.parse($('inputArea').value); buildSteps(arr); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length; }
|
|||
|
|
catch(e) { alert('请输入合法 JSON 数组'); }
|
|||
|
|
};
|
|||
|
|
$('exampleSelect').onchange = () => {
|
|||
|
|
const e = examples[parseInt($('exampleSelect').value)];
|
|||
|
|
$('inputArea').value = JSON.stringify(e.input);
|
|||
|
|
buildSteps(e.input); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
|
|||
|
|
};
|
|||
|
|
$('prevBtn').onclick = () => stepCtrl.prev();
|
|||
|
|
$('nextBtn').onclick = () => stepCtrl.next();
|
|||
|
|
$('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
|
|||
|
|
$('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂停' : '自动播放'; };
|
|||
|
|
$('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
|
|||
|
|
}
|
|||
|
|
init();
|
|||
|
|
$('codeArea').innerHTML = renderCode(`def canPartition(nums):
|
|||
|
|
total = sum(nums)
|
|||
|
|
if total % 2: return False
|
|||
|
|
target = total // 2
|
|||
|
|
dp = [False] * (target + 1)
|
|||
|
|
dp[0] = True
|
|||
|
|
for num in nums:
|
|||
|
|
for j in range(target, num - 1, -1):
|
|||
|
|
dp[j] = dp[j] or dp[j - num]
|
|||
|
|
if dp[target]: return True
|
|||
|
|
return dp[target]`, {lang:'Python'});
|
|||
|
|
|
|||
|
|
})();
|
|||
|
|
</script>
|
|||
|
|
</body>
|
|||
|
|
</html>
|