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leetcode-problemset/leetcode-cn/originData/count-subarrays-with-score-less-than-k.json
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"categoryTitle": "Algorithms",
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"title": "Count Subarrays With Score Less Than K",
"titleSlug": "count-subarrays-with-score-less-than-k",
"content": "<p>The <strong>score</strong> of an array is defined as the <strong>product</strong> of its sum and its length.</p>\n\n<ul>\n\t<li>For example, the score of <code>[1, 2, 3, 4, 5]</code> is <code>(1 + 2 + 3 + 4 + 5) * 5 = 75</code>.</li>\n</ul>\n\n<p>Given a positive integer array <code>nums</code> and an integer <code>k</code>, return <em>the <strong>number of non-empty subarrays</strong> of</em> <code>nums</code> <em>whose score is <strong>strictly less</strong> than</em> <code>k</code>.</p>\n\n<p>A <strong>subarray</strong> is a contiguous 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 = [2,1,4,3,5], k = 10\n<strong>Output:</strong> 6\n<strong>Explanation:</strong>\nThe 6 subarrays having scores less than 10 are:\n- [2] with score 2 * 1 = 2.\n- [1] with score 1 * 1 = 1.\n- [4] with score 4 * 1 = 4.\n- [3] with score 3 * 1 = 3. \n- [5] with score 5 * 1 = 5.\n- [2,1] with score (2 + 1) * 2 = 6.\nNote that subarrays such as [1,4] and [4,3,5] are not considered because their scores are 10 and 36 respectively, while we need scores strictly less than 10.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,1,1], k = 5\n<strong>Output:</strong> 5\n<strong>Explanation:</strong>\nEvery subarray except [1,1,1] has a score less than 5.\n[1,1,1] has a score (1 + 1 + 1) * 3 = 9, which is greater than 5.\nThus, there are 5 subarrays having scores less than 5.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>15</sup></code></li>\n</ul>\n",
"translatedTitle": "统计得分小于 K 的子数组数目",
"translatedContent": "<p>一个数组的 <strong>分数</strong>&nbsp;定义为数组之和 <strong>乘以</strong>&nbsp;数组的长度。</p>\n\n<ul>\n\t<li>比方说,<code>[1, 2, 3, 4, 5]</code>&nbsp;的分数为&nbsp;<code>(1 + 2 + 3 + 4 + 5) * 5 = 75</code>&nbsp;。</li>\n</ul>\n\n<p>给你一个正整数数组&nbsp;<code>nums</code>&nbsp;和一个整数&nbsp;<code>k</code>&nbsp;,请你返回&nbsp;<code>nums</code>&nbsp;中分数&nbsp;<strong>严格小于&nbsp;</strong><code>k</code>&nbsp;的&nbsp;<strong>非空整数子数组数目</strong>。</p>\n\n<p><strong>子数组</strong> 是数组中的一个连续元素序列。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<b>输入:</b>nums = [2,1,4,3,5], k = 10\n<b>输出:</b>6\n<strong>解释:</strong>\n有 6 个子数组的分数小于 10 \n- [2] 分数为 2 * 1 = 2 。\n- [1] 分数为 1 * 1 = 1 。\n- [4] 分数为 4 * 1 = 4 。\n- [3] 分数为 3 * 1 = 3 。 \n- [5] 分数为 5 * 1 = 5 。\n- [2,1] 分数为 (2 + 1) * 2 = 6 。\n注意子数组 [1,4] 和 [4,3,5] 不符合要求,因为它们的分数分别为 10 和 36但我们要求子数组的分数严格小于 10 。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<b>输入:</b>nums = [1,1,1], k = 5\n<b>输出:</b>5\n<strong>解释:</strong>\n除了 [1,1,1] 以外每个子数组分数都小于 5 。\n[1,1,1] 分数为 (1 + 1 + 1) * 3 = 9 ,大于 5 。\n所以总共有 5 个子数组得分小于 5 。\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;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>15</sup></code></li>\n</ul>\n",
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