197 lines
7.7 KiB
HTML
197 lines
7.7 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>010. 和为 K 的子数组 – 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>🟡 010. 和为 K 的子数组 <span class="badge medium">中等</span></h1>
|
|||
|
|
<p class="subtitle">分类：子串 ｜ 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: [1,1,1], k: 2, label: '示例1: nums=[1,1,1], k=2'},
|
|||
|
|
{input: [1,2,3], k: 3, label: '示例2: nums=[1,2,3], k=3'},
|
|||
|
|
{input: [1,-1,0], k: 0, label: '示例3: nums=[1,-1,0], k=0'},
|
|||
|
|
];
|
|||
|
|
|
|||
|
|
let nums, k, steps, stepCtrl;
|
|||
|
|
|
|||
|
|
function buildSteps(arr, target) {
|
|||
|
|
nums = arr; k = target; steps = [];
|
|||
|
|
const prefixMap = {0: 1};
|
|||
|
|
let prefixSum = 0, count = 0;
|
|||
|
|
|
|||
|
|
steps.push({stage:'init', msg:'初始化：前缀和=0，哈希表记录 {0:1}（前缀和0出现1次）', idx:-1, prefixSum:0, prefixMap:{0:1}, count:0, num:0});
|
|||
|
|
|
|||
|
|
for (let i = 0; i < arr.length; i++) {
|
|||
|
|
prefixSum += arr[i];
|
|||
|
|
const need = prefixSum - target;
|
|||
|
|
steps.push({stage:'calc', msg:`i=${i}，累加 nums[${i}]=${arr[i]}，前缀和=${prefixSum}，需要找 ${prefixSum}-${target}=${need}`, idx:i, prefixSum, prefixMap:{...prefixMap}, count, need, num:arr[i]});
|
|||
|
|
|
|||
|
|
if (need in prefixMap) {
|
|||
|
|
const found = prefixMap[need];
|
|||
|
|
count += found;
|
|||
|
|
steps.push({stage:'found', msg:`前缀和 ${need} 在哈希表中出现 ${found} 次，即存在 ${found} 个子数组和为 ${target}，累计count=${count}`, idx:i, prefixSum, prefixMap:{...prefixMap}, count, need, num:arr[i]});
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
prefixMap[prefixSum] = (prefixMap[prefixSum] || 0) + 1;
|
|||
|
|
steps.push({stage:'store', msg:`将前缀和 ${prefixSum} 存入哈希表，出现次数 +1`, idx:i, prefixSum, prefixMap:{...prefixMap}, count, num:arr[i]});
|
|||
|
|
}
|
|||
|
|
steps.push({stage:'done', msg:`遍历完毕，和为 ${target} 的子数组个数为 ${count}`, idx:-1, prefixSum, prefixMap:{...prefixMap}, count, num:0});
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
function render(step) {
|
|||
|
|
const s_ = steps[step];
|
|||
|
|
const hl = {};
|
|||
|
|
if (s_.idx >= 0) hl[s_.idx] = 'orange';
|
|||
|
|
|
|||
|
|
let viz = '<div style="margin-bottom:6px;"><b>数组：</b></div>';
|
|||
|
|
viz += renderArray(nums, {highlights: hl});
|
|||
|
|
if (s_.idx >= 0) {
|
|||
|
|
viz += '<div style="margin-top:10px;"><b>前缀和序列：</b></div>';
|
|||
|
|
const prefixArr = [];
|
|||
|
|
let ps = 0;
|
|||
|
|
for (let i = 0; i < nums.length; i++) { ps += nums[i]; prefixArr.push(ps); }
|
|||
|
|
const phl = {};
|
|||
|
|
if (s_.idx >= 0) phl[s_.idx] = 'purple';
|
|||
|
|
viz += renderArray(prefixArr, {highlights: phl});
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
viz += '<div class="table-wrap" style="margin-top:12px;"><table><tr><th>前缀和</th><th>出现次数</th></tr>';
|
|||
|
|
if (s_.stage === 'found' && s_.need in s_.prefixMap) {
|
|||
|
|
viz += `<tr style="background:#dcfce7;"><td><code>${s_.need}</code></td><td style="color:var(--green);font-weight:700;">${s_.prefixMap[s_.need]}</td></tr>`;
|
|||
|
|
}
|
|||
|
|
Object.entries(s_.prefixMap).sort((a,b)=>Number(a[0])-Number(b[0])).forEach(([key, val]) => {
|
|||
|
|
const isNeed = s_.stage === 'found' && String(key) === String(s_.need);
|
|||
|
|
if (!isNeed) {
|
|||
|
|
viz += `<tr><td><code>${key}</code></td><td>${val}</td></tr>`;
|
|||
|
|
}
|
|||
|
|
});
|
|||
|
|
viz += '</table></div>';
|
|||
|
|
$('vizArea').innerHTML = viz;
|
|||
|
|
|
|||
|
|
let detail = '<div class="calc-block">' + s_.msg + '</div>';
|
|||
|
|
detail += `<div style="margin-top:8px;">当前 count = <b>${s_.count}</b></div>`;
|
|||
|
|
$('detailContent').innerHTML = detail;
|
|||
|
|
|
|||
|
|
if (s_.stage === 'done') {
|
|||
|
|
$('resultContent').innerHTML = `<div class="final-answer">和为 ${k} 的子数组个数 = <b>${s_.count}</b></div>`;
|
|||
|
|
}
|
|||
|
|
$('hintText').textContent = s_.msg;
|
|||
|
|
const stages = ['init→开始','calc→计算','found→命中','store→存储','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 = 'nums=[1,1,1], k=2';
|
|||
|
|
buildSteps(examples[0].input, examples[0].k);
|
|||
|
|
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(/nums=\[([^\]]+)\].*k=(-?\d+)/);
|
|||
|
|
if (!m) { alert('格式: nums=[1,1,1], k=2'); return; }
|
|||
|
|
const arr = m[1].split(',').map(Number);
|
|||
|
|
const k_ = parseInt(m[2]);
|
|||
|
|
buildSteps(arr, k_); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
|
|||
|
|
$('stepInfo').textContent = '步骤 1 / ' + steps.length;
|
|||
|
|
};
|
|||
|
|
$('exampleSelect').onchange = () => {
|
|||
|
|
const e = examples[parseInt($('exampleSelect').value)];
|
|||
|
|
$('inputArea').value = `nums=[${e.input}], k=${e.k}`;
|
|||
|
|
buildSteps(e.input, e.k); 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 subarraySum(nums, k):
|
|||
|
|
from collections import defaultdict
|
|||
|
|
prefix_count = defaultdict(int)
|
|||
|
|
prefix_count[0] = 1
|
|||
|
|
prefix_sum = 0
|
|||
|
|
count = 0
|
|||
|
|
for num in nums:
|
|||
|
|
prefix_sum += num
|
|||
|
|
if prefix_sum - k in prefix_count:
|
|||
|
|
count += prefix_count[prefix_sum - k]
|
|||
|
|
prefix_count[prefix_sum] += 1
|
|||
|
|
return count`, {lang:'Python'});
|
|||
|
|
|
|||
|
|
})();
|
|||
|
|
</script>
|
|||
|
|
</body>
|
|||
|
|
</html>
|