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| 1 | +<!DOCTYPE html> |
| 2 | +<html lang="zh-CN"> |
| 3 | +<head> |
| 4 | +<meta charset="UTF-8" /> |
| 5 | +<meta name="viewport" content="width=device-width, initial-scale=1" /> |
| 6 | +<title>T164 最大间距桶排序可视化</title> |
| 7 | +<style> |
| 8 | + body { |
| 9 | + font-family: "Segoe UI", Tahoma, Geneva, Verdana, sans-serif; |
| 10 | + margin: 20px; |
| 11 | + background: #f5f5f5; |
| 12 | + } |
| 13 | + h1 { |
| 14 | + text-align: center; |
| 15 | + } |
| 16 | + a#homeLink { |
| 17 | + display: inline-block; |
| 18 | + margin-bottom: 15px; |
| 19 | + text-decoration: none; |
| 20 | + font-weight: bold; |
| 21 | + color: #007acc; |
| 22 | + } |
| 23 | + .input-area { |
| 24 | + margin-bottom: 15px; |
| 25 | + text-align: center; |
| 26 | + } |
| 27 | + input[type="text"] { |
| 28 | + width: 60%; |
| 29 | + padding: 6px 10px; |
| 30 | + font-size: 16px; |
| 31 | + } |
| 32 | + input[type="number"] { |
| 33 | + width: 60px; |
| 34 | + padding: 4px; |
| 35 | + font-size: 16px; |
| 36 | + } |
| 37 | + button { |
| 38 | + margin-left: 10px; |
| 39 | + padding: 6px 12px; |
| 40 | + font-size: 16px; |
| 41 | + cursor: pointer; |
| 42 | + } |
| 43 | + #arrayContainer { |
| 44 | + margin: 20px auto; |
| 45 | + width: 90%; |
| 46 | + display: flex; |
| 47 | + justify-content: center; |
| 48 | + gap: 6px; |
| 49 | + flex-wrap: wrap; |
| 50 | + } |
| 51 | + .array-item { |
| 52 | + width: 40px; |
| 53 | + height: 40px; |
| 54 | + background: #3498db; |
| 55 | + color: white; |
| 56 | + display: flex; |
| 57 | + justify-content: center; |
| 58 | + align-items: center; |
| 59 | + border-radius: 6px; |
| 60 | + font-weight: bold; |
| 61 | + user-select: none; |
| 62 | + transition: background-color 0.3s; |
| 63 | + } |
| 64 | + .highlight { |
| 65 | + background-color: #e74c3c !important; |
| 66 | + } |
| 67 | + .bucket { |
| 68 | + border: 2px dashed #888; |
| 69 | + border-radius: 6px; |
| 70 | + padding: 10px; |
| 71 | + margin: 10px; |
| 72 | + min-width: 60px; |
| 73 | + min-height: 40px; |
| 74 | + text-align: center; |
| 75 | + background-color: #ecf0f1; |
| 76 | + position: relative; |
| 77 | + } |
| 78 | + .bucket-label { |
| 79 | + font-size: 12px; |
| 80 | + margin-bottom: 4px; |
| 81 | + color: #555; |
| 82 | + } |
| 83 | + #bucketsContainer { |
| 84 | + display: flex; |
| 85 | + justify-content: center; |
| 86 | + flex-wrap: wrap; |
| 87 | + margin-top: 20px; |
| 88 | + gap: 6px; |
| 89 | + } |
| 90 | + #log { |
| 91 | + background-color: #111; |
| 92 | + color: #eee; |
| 93 | + font-family: monospace; |
| 94 | + padding: 12px; |
| 95 | + height: 200px; |
| 96 | + overflow-y: auto; |
| 97 | + white-space: pre-wrap; |
| 98 | + border-radius: 6px; |
| 99 | + margin-top: 20px; |
| 100 | + } |
| 101 | + #infoArea { |
| 102 | + margin-top: 15px; |
| 103 | + font-size: 16px; |
| 104 | + text-align: center; |
| 105 | + min-height: 24px; |
| 106 | + } |
| 107 | +</style> |
| 108 | +</head> |
| 109 | +<body> |
| 110 | + <h1>力扣 T164 最大间距桶排序可视化</h1> |
| 111 | + <a href="index.html" id="homeLink">【返回首页】</a> |
| 112 | + <div class="input-area"> |
| 113 | + <label for="inputArray">输入数组(逗号分隔): </label> |
| 114 | + <input type="text" id="inputArray" value="3,6,9,1,24,25,48" /> |
| 115 | + <label for="intervalInput">动画间隔(秒):</label> |
| 116 | + <input type="number" id="intervalInput" value="1" min="0.1" step="0.1" /> |
| 117 | + <button id="startBtn">开始可视化</button> |
| 118 | + </div> |
| 119 | + |
| 120 | + <div id="arrayContainer"></div> |
| 121 | + <div id="bucketsContainer"></div> |
| 122 | + |
| 123 | + <div id="infoArea"></div> |
| 124 | + <div id="log"></div> |
| 125 | + |
| 126 | +<script> |
| 127 | +(() => { |
| 128 | + const startBtn = document.getElementById("startBtn"); |
| 129 | + const inputArray = document.getElementById("inputArray"); |
| 130 | + const intervalInput = document.getElementById("intervalInput"); |
| 131 | + const arrayContainer = document.getElementById("arrayContainer"); |
| 132 | + const bucketsContainer = document.getElementById("bucketsContainer"); |
| 133 | + const logArea = document.getElementById("log"); |
| 134 | + const infoArea = document.getElementById("infoArea"); |
| 135 | + |
| 136 | + let animationInterval = 1000; |
| 137 | + let timerId = null; |
| 138 | + |
| 139 | + // 渲染数组 |
| 140 | + function renderArray(arr, highlightIndices = []) { |
| 141 | + arrayContainer.innerHTML = ""; |
| 142 | + arr.forEach((v, i) => { |
| 143 | + const div = document.createElement("div"); |
| 144 | + div.className = "array-item"; |
| 145 | + div.textContent = v; |
| 146 | + if (highlightIndices.includes(i)) { |
| 147 | + div.classList.add("highlight"); |
| 148 | + } |
| 149 | + arrayContainer.appendChild(div); |
| 150 | + }); |
| 151 | + } |
| 152 | + |
| 153 | + // 渲染桶状态 |
| 154 | + function renderBuckets(buckets, min, bucketWidth, highlightIndex = -1) { |
| 155 | + bucketsContainer.innerHTML = ""; |
| 156 | + buckets.forEach((bucket, i) => { |
| 157 | + const div = document.createElement("div"); |
| 158 | + div.className = "bucket"; |
| 159 | + if (i === highlightIndex) { |
| 160 | + div.style.backgroundColor = "#f39c12"; |
| 161 | + } else { |
| 162 | + div.style.backgroundColor = "#ecf0f1"; |
| 163 | + } |
| 164 | + const label = document.createElement("div"); |
| 165 | + label.className = "bucket-label"; |
| 166 | + label.textContent = `桶${i}`; |
| 167 | + div.appendChild(label); |
| 168 | + |
| 169 | + if (bucket[0] === Number.MAX_SAFE_INTEGER) { |
| 170 | + div.appendChild(document.createTextNode("空")); |
| 171 | + } else { |
| 172 | + div.appendChild(document.createTextNode(`最小: ${bucket[0]}, 最大: ${bucket[1]}`)); |
| 173 | + } |
| 174 | + bucketsContainer.appendChild(div); |
| 175 | + }); |
| 176 | + } |
| 177 | + |
| 178 | + // 输出日志,自动滚动到底部 |
| 179 | + function log(msg) { |
| 180 | + logArea.textContent += msg + "\n"; |
| 181 | + logArea.scrollTop = logArea.scrollHeight; |
| 182 | + } |
| 183 | + |
| 184 | + // 清理日志和信息 |
| 185 | + function resetUI() { |
| 186 | + logArea.textContent = ""; |
| 187 | + infoArea.textContent = ""; |
| 188 | + bucketsContainer.innerHTML = ""; |
| 189 | + arrayContainer.innerHTML = ""; |
| 190 | + } |
| 191 | + |
| 192 | + // 主动画函数:桶排序可视化 |
| 193 | + async function visualizeMaximumGap(arr, intervalSec) { |
| 194 | + resetUI(); |
| 195 | + if (arr.length < 2) { |
| 196 | + infoArea.textContent = "数组长度小于2,无需排序,最大间距为0"; |
| 197 | + log("数组长度小于2,直接返回0"); |
| 198 | + renderArray(arr); |
| 199 | + return; |
| 200 | + } |
| 201 | + |
| 202 | + log(`输入数组: [${arr.join(", ")}]`); |
| 203 | + renderArray(arr); |
| 204 | + |
| 205 | + let min = Number.MAX_SAFE_INTEGER; |
| 206 | + let max = Number.MIN_SAFE_INTEGER; |
| 207 | + for (const num of arr) { |
| 208 | + if (num > max) max = num; |
| 209 | + if (num < min) min = num; |
| 210 | + } |
| 211 | + log(`最小值: ${min}, 最大值: ${max}`); |
| 212 | + |
| 213 | + if (min === max) { |
| 214 | + log("最小值和最大值相同,最大间距为0"); |
| 215 | + infoArea.textContent = "所有元素相同,最大间距为0"; |
| 216 | + return; |
| 217 | + } |
| 218 | + |
| 219 | + const bucketSize = arr.length + 1; |
| 220 | + let buckets = new Array(bucketSize); |
| 221 | + for (let i = 0; i < bucketSize; i++) { |
| 222 | + // 用大整数代替Integer.MAX_VALUE |
| 223 | + buckets[i] = [Number.MAX_SAFE_INTEGER, Number.MIN_SAFE_INTEGER]; |
| 224 | + } |
| 225 | + |
| 226 | + // 计算桶宽度 |
| 227 | + const bucketWidth = Math.ceil((max - min) / bucketSize); |
| 228 | + log(`桶数量: ${bucketSize}, 桶宽度: ${bucketWidth}`); |
| 229 | + |
| 230 | + // 显示初始空桶 |
| 231 | + renderBuckets(buckets, min, bucketWidth); |
| 232 | + |
| 233 | + // 放入桶中 |
| 234 | + for (let i = 0; i < arr.length; i++) { |
| 235 | + const num = arr[i]; |
| 236 | + let bucketIndex = Math.floor((num - min) / bucketWidth); |
| 237 | + if (bucketIndex >= bucketSize) bucketIndex = bucketSize - 1; |
| 238 | + |
| 239 | + infoArea.textContent = `第${i + 1}个元素 ${num} 放入桶 ${bucketIndex}`; |
| 240 | + log(`元素 ${num} 计算桶索引: ${bucketIndex}`); |
| 241 | + |
| 242 | + // 高亮当前元素 |
| 243 | + renderArray(arr, [i]); |
| 244 | + // 高亮当前桶 |
| 245 | + renderBuckets(buckets, min, bucketWidth, bucketIndex); |
| 246 | + |
| 247 | + // 更新桶内最大最小值 |
| 248 | + buckets[bucketIndex][0] = Math.min(buckets[bucketIndex][0], num); |
| 249 | + buckets[bucketIndex][1] = Math.max(buckets[bucketIndex][1], num); |
| 250 | + |
| 251 | + log(`更新桶${bucketIndex} => 最小值: ${buckets[bucketIndex][0]}, 最大值: ${buckets[bucketIndex][1]}`); |
| 252 | + |
| 253 | + await sleep(intervalSec); |
| 254 | + } |
| 255 | + |
| 256 | + // 计算最大间距 |
| 257 | + let maxGap = 0; |
| 258 | + let prev = min; |
| 259 | + infoArea.textContent = "开始计算最大间距..."; |
| 260 | + renderBuckets(buckets, min, bucketWidth); |
| 261 | + |
| 262 | + for (let i = 0; i < buckets.length; i++) { |
| 263 | + if (buckets[i][0] === Number.MAX_SAFE_INTEGER) { |
| 264 | + log(`桶${i}为空,跳过`); |
| 265 | + continue; |
| 266 | + } |
| 267 | + |
| 268 | + let gap = buckets[i][0] - prev; |
| 269 | + log(`桶${i}的最小值 ${buckets[i][0]} - 上一个最大值 ${prev} = 间距 ${gap}`); |
| 270 | + if (gap > maxGap) { |
| 271 | + maxGap = gap; |
| 272 | + log(`更新最大间距为 ${maxGap}`); |
| 273 | + } |
| 274 | + |
| 275 | + prev = buckets[i][1]; |
| 276 | + |
| 277 | + infoArea.textContent = `检查桶${i},当前最大间距: ${maxGap}`; |
| 278 | + renderBuckets(buckets, min, bucketWidth, i); |
| 279 | + |
| 280 | + await sleep(intervalSec); |
| 281 | + } |
| 282 | + |
| 283 | + infoArea.textContent = `最大间距计算完成: ${maxGap}`; |
| 284 | + log(`返回最大间距: ${maxGap}`); |
| 285 | + |
| 286 | + // 最后高亮全部数组 |
| 287 | + renderArray(arr); |
| 288 | + renderBuckets(buckets, min, bucketWidth); |
| 289 | + } |
| 290 | + |
| 291 | + function sleep(seconds) { |
| 292 | + return new Promise(resolve => setTimeout(resolve, seconds * 1000)); |
| 293 | + } |
| 294 | + |
| 295 | + // 事件绑定 |
| 296 | + startBtn.addEventListener("click", () => { |
| 297 | + if (timerId) { |
| 298 | + clearTimeout(timerId); |
| 299 | + timerId = null; |
| 300 | + } |
| 301 | + const rawInput = inputArray.value.trim(); |
| 302 | + if (!rawInput) { |
| 303 | + alert("请输入有效数组!"); |
| 304 | + return; |
| 305 | + } |
| 306 | + let arr = rawInput.split(",").map(s => parseInt(s.trim())).filter(n => !isNaN(n)); |
| 307 | + if (arr.length === 0) { |
| 308 | + alert("请输入有效数字数组!"); |
| 309 | + return; |
| 310 | + } |
| 311 | + let intervalSec = parseFloat(intervalInput.value); |
| 312 | + if (isNaN(intervalSec) || intervalSec <= 0) { |
| 313 | + intervalSec = 1; |
| 314 | + } |
| 315 | + animationInterval = intervalSec; |
| 316 | + |
| 317 | + visualizeMaximumGap(arr, animationInterval); |
| 318 | + }); |
| 319 | + |
| 320 | + // 页面加载时默认渲染数组 |
| 321 | + renderArray(inputArray.value.split(",").map(s => parseInt(s.trim())).filter(n => !isNaN(n))); |
| 322 | +})(); |
| 323 | +</script> |
| 324 | +</body> |
| 325 | +</html> |
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