200 lines
8.4 KiB
HTML
200 lines
8.4 KiB
HTML
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<!DOCTYPE html>
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<html lang="zh-Hans">
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<head>
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>051. 岛屿数量 – 图解</title>
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<link rel="stylesheet" href="../shared/style.css">
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<style>
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/* page-specific overrides */
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.vis-area { min-height: 120px; padding: 16px 0; }
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.code-section { margin-top: 16px; }
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</style>
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</head>
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<body>
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<div class="container">
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<h1>🟡 051. 岛屿数量 <span class="badge medium">中等</span></h1>
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<p class="subtitle">分类：图论 ｜ LeetCode Hot 100</p>
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<!-- 控制面板 -->
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<div class="controls" id="controls">
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<label for="inputArea">输入：</label>
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<input type="text" id="inputArea" placeholder="默认示例，可自定义">
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<button id="applyBtn" class="primary">生成图解</button>
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<select id="exampleSelect"></select>
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<span style="flex:1"></span>
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<button id="prevBtn">◀ 上一步</button>
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<button id="nextBtn">下一步 ▶</button>
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<button id="jumpBtn">⏭ 跳到结果</button>
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<button id="autoBtn">自动播放</button>
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<button id="resetBtn">重置</button>
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</div>
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<!-- 步骤流水线 -->
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<div class="pipeline" id="pipeline"></div>
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<!-- 提示条 -->
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<div class="hint info" id="hintBox">
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<span id="stepInfo"></span><br>
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<span id="hintText"></span>
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</div>
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<!-- 可视化面板 -->
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<div class="panels">
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<div class="panel" id="mainPanel">
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<h3>📊 可视化</h3>
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<div class="vis-area" id="vizArea">点击「生成图解」开始</div>
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</div>
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<div class="panel-grid">
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<div class="panel" id="detailPanel">
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<h3>📝 当前步骤详情</h3>
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<div id="detailContent">等待开始...</div>
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</div>
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<div class="panel" id="resultPanel">
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<h3>✅ 结果</h3>
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<div id="resultContent">等待完成...</div>
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</div>
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</div>
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</div>
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<!-- 代码 -->
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<div class="panel code-section">
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<h3>💻 参考代码（Python）</h3>
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<div id="codeArea"></div>
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</div>
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<footer>Powered by QwenPaw · 图解算法 · LeetCode Hot 100</footer>
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</div>
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<script src="../shared/algo-viz.js"></script>
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<script>
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"use strict";
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(function() {
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// ========== Algorithm Logic ==========
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const examples = [
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{grid: [["1","1","0","0","0"],["1","1","0","0","0"],["0","0","1","0","0"],["0","0","0","1","1"]], label: '示例1: 4×5 3个岛'},
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{grid: [["1","1","1"],["0","1","0"],["1","1","1"]], label: '示例2: 3×3 1个岛'},
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];
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let grid, R, C, steps, stepCtrl, islandColors, finalMap;
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function buildSteps(g) {
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grid = g.map(r=>[...r]); R = grid.length; C = grid[0].length;
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steps = []; islandColors = {}; finalMap = {};
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const visited = Array.from({length:R},()=>Array(C).fill(false));
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let islands = 0;
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const islandColorList = ['blue','green','purple','orange','cyan','red'];
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steps.push({stage:'start', msg:'遍历网格，遇到未访问的陆地进行DFS染色', hl:{}, im:{}, islands:0});
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for (let r=0; r<R; r++) {
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for (let c=0; c<C; c++) {
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if (grid[r][c]==='1' && !visited[r][c]) {
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islands++;
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const color = islandColorList[(islands-1) % islandColorList.length];
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islandColors[islands] = color;
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steps.push({stage:'new_island', msg:`发现岛屿 #${islands}，从 (${r},${c}) 开始DFS`, hl:{[r+','+c]:'current'}, im:JSON.parse(JSON.stringify(finalMap)), islands});
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const stack = [[r,c]];
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visited[r][c] = true;
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finalMap[r+','+c] = islands;
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while (stack.length > 0) {
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const [cr, cc] = stack.pop();
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const dirs = [[0,1],[0,-1],[1,0],[-1,0]];
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for (const [dr,dc] of dirs) {
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const nr=cr+dr, nc=cc+dc;
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if (nr>=0 && nr<R && nc>=0 && nc<C && grid[nr][nc]==='1' && !visited[nr][nc]) {
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visited[nr][nc] = true;
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stack.push([nr,nc]);
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finalMap[nr+','+nc] = islands;
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const hl2 = {}; hl2[nr+','+nc] = 'current';
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steps.push({stage:'dfs', msg:`DFS: (${cr},${cc}) → (${nr},${nc}) 染色为岛 #${islands}`, hl:hl2, im:JSON.parse(JSON.stringify(finalMap)), islands});
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}
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}
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}
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steps.push({stage:'island_done', msg:`岛屿 #${islands} DFS完成`, hl:{}, im:JSON.parse(JSON.stringify(finalMap)), islands});
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}
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}
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}
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steps.push({stage:'done', msg:`遍历完毕，共 ${islands} 个岛屿`, hl:{}, im:JSON.parse(JSON.stringify(finalMap)), islands});
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}
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function render(step) {
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const s = steps[step];
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const cellClass = (val,r,c) => {
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if (val==='0') return 'water';
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const key = r+','+c;
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const iid = s.im[key];
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if (iid) return islandColors[iid] || 'island';
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return 'default';
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};
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const cellStyle = (val,r,c) => {
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if (val==='0') return 'background:#e0f2fe;color:#0369a1;';
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const key = r+','+c;
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const iid = s.im[key];
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const colorMap = {blue:'background:#dbeafe;color:#1e40af;',green:'background:#dcfce7;color:#166534;',purple:'background:#ede9fe;color:#5b21b6;',orange:'background:#fff7ed;color:#9a3412;',cyan:'background:#cffafe;color:#155e75;',red:'background:#fee2e2;color:#991b1b;'};
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if (iid && colorMap[islandColors[iid]]) return colorMap[islandColors[iid]];
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return 'background:#f1f5f9;color:#475569;';
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};
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let viz = renderGrid(grid, {highlights:s.hl, cellSize:48, cellClass, cellStyle});
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viz += `<div style="margin-top:8px;">🏝️ 岛屿数量：${s.islands}</div>`;
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$('vizArea').innerHTML = viz;
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$('detailContent').innerHTML = '<div class="calc-block">' + s.msg + '</div>';
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if (s.stage==='done') {
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let det = `<div class="final-answer">岛屿数量 = <b>${s.islands}</b></div>`;
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det += '<div style="margin-top:8px;">';
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for (let i=1; i<=s.islands; i++) det += `<span style="margin-right:12px;"><span style="display:inline-block;width:14px;height:14px;border-radius:3px;${islandColors[i]==='blue'?'background:#dbeafe':islandColors[i]==='green'?'background:#dcfce7':islandColors[i]==='purple'?'background:#ede9fe':'background:#fff7ed'};vertical-align:middle;"></span> 岛屿 #${i}</span>`;
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det += '</div>';
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$('resultContent').innerHTML = det;
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}
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$('hintText').textContent = s.msg;
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const stages = ['start→开始','new_island→发现岛屿','dfs→DFS染色','island_done→岛屿完成','done→完成'];
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$('pipeline').innerHTML = stages.map(st => { const [k,l]=st.split('→'); return `<span class="pipe-step ${s.stage===k?'active':''}">${l}</span>`; }).join('<i>→</i>');
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}
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function init() {
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const sel = $('exampleSelect');
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examples.forEach((e,i) => { sel.innerHTML += `<option value="${i}">${e.label}</option>`; });
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$('inputArea').value = '[["1","1","0"],["0","1","0"],["0","0","1"]]';
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buildSteps(examples[0].grid);
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stepCtrl = new StepController({onStep: render});
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stepCtrl.setSteps(steps.map((_,i)=>i));
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$('stepInfo').textContent = '步骤 1 / ' + steps.length;
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stepCtrl.onStep = (idx) => { render(idx); $('stepInfo').textContent = `步骤 ${idx+1} / ${steps.length}`; };
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$('applyBtn').onclick = () => {
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try { const g = JSON.parse($('inputArea').value); buildSteps(g); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0); $('stepInfo').textContent = '步骤 1 / ' + steps.length; }
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catch(e) { alert('请输入合法 JSON 二维数组'); }
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};
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$('exampleSelect').onchange = () => {
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const e = examples[parseInt($('exampleSelect').value)];
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buildSteps(e.grid); stepCtrl.setSteps(steps.map((_,i)=>i)); render(0);
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};
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$('prevBtn').onclick = () => stepCtrl.prev();
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$('nextBtn').onclick = () => stepCtrl.next();
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$('jumpBtn').onclick = () => stepCtrl.jumpToEnd();
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$('autoBtn').onclick = () => { const on = stepCtrl.toggleAuto(); $('autoBtn').textContent = on ? '暂停' : '自动播放'; };
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$('resetBtn').onclick = () => { stepCtrl.reset(); $('autoBtn').textContent = '自动播放'; };
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}
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init();
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$('codeArea').innerHTML = renderCode(`def numIslands(grid):
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if not grid: return 0
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rows, cols = len(grid), len(grid[0])
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def dfs(r, c):
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if r<0 or r>=rows or c<0 or c>=cols or grid[r][c]!='1':
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return
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grid[r][c] = '2'
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dfs(r+1,c); dfs(r-1,c)
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dfs(r,c+1); dfs(r,c-1)
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islands = 0
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for r in range(rows):
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for c in range(cols):
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if grid[r][c] == '1':
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islands += 1
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dfs(r, c)
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return islands`, {lang:'Python'});
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})();
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</script>
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</body>
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</html>
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