leetcode-problemset/leetcode-cn/originData/sum-of-variable-length-subarrays.json

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        "question": {
            "questionId": "3731",
            "questionFrontendId": "3427",
            "categoryTitle": "Algorithms",
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            "title": "Sum of Variable Length Subarrays",
            "titleSlug": "sum-of-variable-length-subarrays",
            "content": "<p>You are given an integer array <code>nums</code> of size <code>n</code>. For <strong>each</strong> index <code>i</code> where <code>0 &lt;= i &lt; n</code>, define a <span data-keyword=\"subarray-nonempty\">subarray</span> <code>nums[start ... i]</code> where <code>start = max(0, i - nums[i])</code>.</p>\n\n<p>Return the total sum of all elements from the subarray defined for each index in the array.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [2,3,1]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">11</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<table style=\"border: 1px solid black;\">\n\t<tbody>\n\t\t<tr>\n\t\t\t<th style=\"border: 1px solid black;\">i</th>\n\t\t\t<th style=\"border: 1px solid black;\">Subarray</th>\n\t\t\t<th style=\"border: 1px solid black;\">Sum</th>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">0</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[0] = [2]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[0 ... 1] = [2, 3]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">5</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[1 ... 2] = [3, 1]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">4</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\"><strong>Total Sum</strong></td>\n\t\t\t<td style=\"border: 1px solid black;\">&nbsp;</td>\n\t\t\t<td style=\"border: 1px solid black;\">11</td>\n\t\t</tr>\n\t</tbody>\n</table>\n\n<p>The total sum is 11. Hence, 11 is the output.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [3,1,1,2]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">13</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<table style=\"border: 1px solid black;\">\n\t<tbody>\n\t\t<tr>\n\t\t\t<th style=\"border: 1px solid black;\">i</th>\n\t\t\t<th style=\"border: 1px solid black;\">Subarray</th>\n\t\t\t<th style=\"border: 1px solid black;\">Sum</th>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">0</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[0] = [3]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[0 ... 1] = [3, 1]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">4</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[1 ... 2] = [1, 1]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[1 ... 3] = [1, 1, 2]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">4</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\"><strong>Total Sum</strong></td>\n\t\t\t<td style=\"border: 1px solid black;\">&nbsp;</td>\n\t\t\t<td style=\"border: 1px solid black;\">13</td>\n\t\t</tr>\n\t</tbody>\n</table>\n\n<p>The total sum is 13. Hence, 13 is the output.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 1000</code></li>\n</ul>\n",
            "translatedTitle": "变长子数组求和",
            "translatedContent": "<p>给你一个长度为 <code>n</code>&nbsp;的整数数组&nbsp;<code>nums</code>&nbsp;。对于 <strong>每个</strong> 下标&nbsp;<code>i</code>（<code>0 &lt;= i &lt; n</code>），定义对应的子数组&nbsp;<code>nums[start ... i]</code>（<code>start = max(0, i - nums[i])</code>）。</p>\n\n<p>返回为数组中每个下标定义的子数组中所有元素的总和。</p>\n<strong>子数组</strong>&nbsp;是数组中的一个连续、<strong>非空</strong> 的元素序列。\n\n<p>&nbsp;</p>\n\n<p><b>示例 1：</b></p>\n\n<div class=\"example-block\">\n<p><b>输入：</b><span class=\"example-io\">nums = [2,3,1]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>11</span></p>\n\n<p><b>解释：</b></p>\n\n<table style=\"border: 1px solid black;\">\n\t<tbody>\n\t\t<tr>\n\t\t\t<th style=\"border: 1px solid black;\">下标 i</th>\n\t\t\t<th style=\"border: 1px solid black;\">子数组</th>\n\t\t\t<th style=\"border: 1px solid black;\">和</th>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">0</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[0] = [2]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[0 ... 1] = [2, 3]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">5</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[1 ... 2] = [3, 1]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">4</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\"><b>总和</b></td>\n\t\t\t<td style=\"border: 1px solid black;\">&nbsp;</td>\n\t\t\t<td style=\"border: 1px solid black;\">11</td>\n\t\t</tr>\n\t</tbody>\n</table>\n\n<p>总和为 11 。因此，输出 11 。</p>\n</div>\n\n<p><b>示例 2：</b></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>nums = [3,1,1,2]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>13</span></p>\n\n<p><b>解释：</b></p>\n\n<table style=\"border: 1px solid black;\">\n\t<tbody>\n\t\t<tr>\n\t\t\t<th style=\"border: 1px solid black;\">下标 i</th>\n\t\t\t<th style=\"border: 1px solid black;\">子数组</th>\n\t\t\t<th style=\"border: 1px solid black;\">和</th>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">0</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[0] = [3]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">1</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[0 ... 1] = [3, 1]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">4</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[1 ... 2] = [1, 1]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">2</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\">3</td>\n\t\t\t<td style=\"border: 1px solid black;\"><code>nums[1 ... 3] = [1, 1, 2]</code></td>\n\t\t\t<td style=\"border: 1px solid black;\">4</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td style=\"border: 1px solid black;\"><b>总和</b></td>\n\t\t\t<td style=\"border: 1px solid black;\">&nbsp;</td>\n\t\t\t<td style=\"border: 1px solid black;\">13</td>\n\t\t</tr>\n\t</tbody>\n</table>\n\n<p>总和为 13 。因此，输出为 13 。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 1000</code></li>\n</ul>\n",
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