This commit is contained in:
@@ -0,0 +1,181 @@
|
||||
<!DOCTYPE html>
|
||||
<html lang="zh-Hans">
|
||||
<head>
|
||||
<meta charset="UTF-8">
|
||||
<meta name="viewport" content="width=device-width, initial-scale=1.0">
|
||||
<title>084. 完全平方数 – 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>🟡 084. 完全平方数 <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: 12, label: '示例1: n=12'},
|
||||
{input: 13, label: '示例2: n=13'},
|
||||
{input: 4, label: '示例3: n=4'},
|
||||
];
|
||||
let steps, stepCtrl, n;
|
||||
|
||||
function buildSteps(target) {
|
||||
n = target; steps = [];
|
||||
const dp = new Array(n + 1).fill(Infinity);
|
||||
dp[0] = 0;
|
||||
steps.push({stage:'init', msg:`初始化 dp[0]=0，其余为 ∞`, dp:[...dp], current:-1, bestJ:-1, candidates:[]});
|
||||
for (let i = 1; i <= n; i++) {
|
||||
let bestJ = 1, bestVal = Infinity;
|
||||
const candidates = [];
|
||||
for (let j = 1; j * j <= i; j++) {
|
||||
candidates.push({j, sq: j*j, val: dp[i - j*j] + 1});
|
||||
if (dp[i - j*j] + 1 < bestVal) { bestVal = dp[i - j*j] + 1; bestJ = j; }
|
||||
}
|
||||
steps.push({stage:'try', msg:`计算 dp[${i}]：尝试所有平方数`, dp:[...dp], current:i, bestJ:-1, candidates});
|
||||
dp[i] = bestVal;
|
||||
steps.push({stage:'fill', msg:`dp[${i}] = dp[${i-bestJ*bestJ}]+1 = ${dp[i-bestJ*bestJ]}+1 = ${bestVal}（选 ${bestJ}²=${bestJ*bestJ}）`, dp:[...dp], current:i, bestJ, candidates});
|
||||
}
|
||||
steps.push({stage:'done', msg:`${n} 最少需要 ${dp[n]} 个完全平方数`, dp:[...dp], current:n, bestJ:-1, candidates:[]});
|
||||
}
|
||||
|
||||
function render(step) {
|
||||
const s = steps[step];
|
||||
let viz = '<div style="margin-top:8px;"><b>dp 表：</b></div>';
|
||||
viz += '<div style="display:flex;flex-wrap:wrap;gap:4px;margin:8px 0;">';
|
||||
for (let i = 0; i <= n; i++) {
|
||||
let cls = 'default';
|
||||
if (i === s.current) cls = s.stage==='try'?'orange':'green';
|
||||
if (s.bestJ > 0 && i === s.current - s.bestJ*s.bestJ) cls = 'blue';
|
||||
const val = s.dp[i] === Infinity ? '∞' : s.dp[i];
|
||||
viz += `<span class="chip-group"><span class="chip ${cls}" style="min-width:32px;font-size:13px;">${val}</span><span class="chip-index">${i}</span></span>`;
|
||||
}
|
||||
viz += '</div>';
|
||||
if (s.candidates && s.candidates.length > 0) {
|
||||
viz += '<div style="margin-top:8px;"><b>候选平方数：</b></div>';
|
||||
viz += '<div style="display:flex;gap:6px;flex-wrap:wrap;margin:4px 0;">';
|
||||
s.candidates.forEach(c => {
|
||||
const isBest = c.j === s.bestJ;
|
||||
const bg = isBest ? '#dcfce7' : '#f0f9ff';
|
||||
const bd = isBest ? '2px solid #16a34a' : '1px solid #cbd5e1';
|
||||
viz += `<span style="padding:4px 10px;background:${bg};border:${bd};border-radius:8px;font-size:13px;">${c.j}²=${c.sq} → dp[${s.current-c.sq}]+1=${c.val===Infinity?'∞':c.val}</span>`;
|
||||
});
|
||||
viz += '</div>';
|
||||
}
|
||||
$('vizArea').innerHTML = viz;
|
||||
|
||||
$('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
|
||||
if (s.current > 0 && s.dp[s.current] !== Infinity) {
|
||||
$('detailContent').innerHTML += `<div class="current-answer">dp[${s.current}] = <b>${s.dp[s.current]}</b></div>`;
|
||||
}
|
||||
if (s.stage === 'done') {
|
||||
$('resultContent').innerHTML = `<div class="final-answer">${n} 最少需要 <b>${s.dp[n]}</b> 个完全平方数</div>`;
|
||||
}
|
||||
$('hintText').textContent = s.msg;
|
||||
const stages = ['init→初始化','try→尝试','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 = 'n=12';
|
||||
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 = () => {
|
||||
const m = $('inputArea').value.match(/n=(\d+)/);
|
||||
if (!m) { alert('格式: n=12'); return; }
|
||||
buildSteps(parseInt(m[1]));
|
||||
stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length;
|
||||
};
|
||||
$('exampleSelect').onchange = () => {
|
||||
const e = examples[parseInt($('exampleSelect').value)];
|
||||
$('inputArea').value = `n=${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 numSquares(n):
|
||||
dp = [float('inf')] * (n + 1)
|
||||
dp[0] = 0
|
||||
for i in range(1, n + 1):
|
||||
j = 1
|
||||
while j * j <= i:
|
||||
dp[i] = min(dp[i], dp[i - j*j] + 1)
|
||||
j += 1
|
||||
return dp[n]`, {lang:'Python'});
|
||||
|
||||
})();
|
||||
</script>
|
||||
</body>
|
||||
</html>
|
||||
Reference in New Issue
Block a user