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leetcode-problemset/leetcode-cn/originData/subarrays-distinct-element-sum-of-squares-i.json
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"categoryTitle": "Algorithms",
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"title": "Subarrays Distinct Element Sum of Squares I",
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"content": "<p>You are given a <strong>0-indexed </strong>integer array <code>nums</code>.</p>\n\n<p>The <strong>distinct count</strong> of a subarray of <code>nums</code> is defined as:</p>\n\n<ul>\n\t<li>Let <code>nums[i..j]</code> be a subarray of <code>nums</code> consisting of all the indices from <code>i</code> to <code>j</code> such that <code>0 &lt;= i &lt;= j &lt; nums.length</code>. Then the number of distinct values in <code>nums[i..j]</code> is called the distinct count of <code>nums[i..j]</code>.</li>\n</ul>\n\n<p>Return <em>the sum of the <strong>squares</strong> of <strong>distinct counts</strong> of all subarrays of </em><code>nums</code>.</p>\n\n<p>A subarray is a contiguous <strong>non-empty</strong> sequence of elements within an array.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,1]\n<strong>Output:</strong> 15\n<strong>Explanation:</strong> Six possible subarrays are:\n[1]: 1 distinct value\n[2]: 1 distinct value\n[1]: 1 distinct value\n[1,2]: 2 distinct values\n[2,1]: 2 distinct values\n[1,2,1]: 2 distinct values\nThe sum of the squares of the distinct counts in all subarrays is equal to 1<sup>2</sup> + 1<sup>2</sup> + 1<sup>2</sup> + 2<sup>2</sup> + 2<sup>2</sup> + 2<sup>2</sup> = 15.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,1]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> Three possible subarrays are:\n[1]: 1 distinct value\n[1]: 1 distinct value\n[1,1]: 1 distinct value\nThe sum of the squares of the distinct counts in all subarrays is equal to 1<sup>2</sup> + 1<sup>2</sup> + 1<sup>2</sup> = 3.</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "子数组不同元素数目的平方和 I",
"translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的整数数组&nbsp;<code>nums</code>&nbsp;。</p>\n\n<p>定义 <code>nums</code>&nbsp;一个子数组的 <strong>不同计数</strong>&nbsp;值如下:</p>\n\n<ul>\n\t<li>令&nbsp;<code>nums[i..j]</code>&nbsp;表示 <code>nums</code> 中所有下标在 <code>i</code> 到 <code>j</code> 范围内的元素构成的子数组(满足 <code>0 &lt;= i &lt;= j &lt; nums.length</code> ),那么我们称子数组&nbsp;<code>nums[i..j]</code>&nbsp;中不同值的数目为&nbsp;<code>nums[i..j]</code>&nbsp;的不同计数。</li>\n</ul>\n\n<p>请你返回 <code>nums</code>&nbsp;中所有子数组的 <strong>不同计数</strong>&nbsp;的 <strong>平方</strong>&nbsp;和。</p>\n\n<p>由于答案可能会很大,请你将它对&nbsp;<code>10<sup>9</sup> + 7</code>&nbsp;<strong>取余</strong>&nbsp;后返回。</p>\n\n<p>子数组指的是一个数组里面一段连续 <strong>非空</strong>&nbsp;的元素序列。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<b>输入:</b>nums = [1,2,1]\n<b>输出:</b>15\n<b>解释:</b>六个子数组分别为:\n[1]: 1 个互不相同的元素。\n[2]: 1 个互不相同的元素。\n[1]: 1 个互不相同的元素。\n[1,2]: 2 个互不相同的元素。\n[2,1]: 2 个互不相同的元素。\n[1,2,1]: 2 个互不相同的元素。\n所有不同计数的平方和为 1<sup>2</sup> + 1<sup>2</sup> + 1<sup>2</sup> + 2<sup>2</sup> + 2<sup>2</sup> + 2<sup>2</sup> = 15 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<b>输入:</b>nums = [2,2]\n<b>输出3</b>\n<strong>解释:</strong>三个子数组分别为:\n[2]: 1 个互不相同的元素。\n[2]: 1 个互不相同的元素。\n[2,2]: 1 个互不相同的元素。\n所有不同计数的平方和为 1<sup>2</sup> + 1<sup>2</sup> + 1<sup>2</sup> = 3 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 100</code></li>\n</ul>\n",
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