leetcode-problemset/leetcode-cn/originData/k-divisible-elements-subarrays.json

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        "question": {
            "questionId": "2339",
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            "categoryTitle": "Algorithms",
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            "title": "K Divisible Elements Subarrays",
            "titleSlug": "k-divisible-elements-subarrays",
            "content": "<p>Given an integer array <code>nums</code> and two integers <code>k</code> and <code>p</code>, return <em>the number of <strong>distinct subarrays</strong> which have <strong>at most</strong></em> <code>k</code> <em>elements divisible by</em> <code>p</code>.</p>\n\n<p>Two arrays <code>nums1</code> and <code>nums2</code> are said to be <strong>distinct</strong> if:</p>\n\n<ul>\n\t<li>They are of <strong>different</strong> lengths, or</li>\n\t<li>There exists <strong>at least</strong> one index <code>i</code> where <code>nums1[i] != nums2[i]</code>.</li>\n</ul>\n\n<p>A <strong>subarray</strong> is defined as a <strong>non-empty</strong> contiguous sequence of elements in an array.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [<u><strong>2</strong></u>,3,3,<u><strong>2</strong></u>,<u><strong>2</strong></u>], k = 2, p = 2\n<strong>Output:</strong> 11\n<strong>Explanation:</strong>\nThe elements at indices 0, 3, and 4 are divisible by p = 2.\nThe 11 distinct subarrays which have at most k = 2 elements divisible by 2 are:\n[2], [2,3], [2,3,3], [2,3,3,2], [3], [3,3], [3,3,2], [3,3,2,2], [3,2], [3,2,2], and [2,2].\nNote that the subarrays [2] and [3] occur more than once in nums, but they should each be counted only once.\nThe subarray [2,3,3,2,2] should not be counted because it has 3 elements that are divisible by 2.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4], k = 4, p = 1\n<strong>Output:</strong> 10\n<strong>Explanation:</strong>\nAll element of nums are divisible by p = 1.\nAlso, every subarray of nums will have at most 4 elements that are divisible by 1.\nSince all subarrays are distinct, the total number of subarrays satisfying all the constraints is 10.\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;= 200</code></li>\n\t<li><code>1 &lt;= nums[i], p &lt;= 200</code></li>\n\t<li><code>1 &lt;= k &lt;= nums.length</code></li>\n</ul>\n",
            "translatedTitle": "含最多 K 个可整除元素的子数组",
            "translatedContent": "<p>给你一个整数数组 <code>nums</code> 和两个整数 <code>k</code> 和 <code>p</code> ，找出并返回满足要求的不同的子数组数，要求子数组中最多 <code>k</code> 个可被 <code>p</code> 整除的元素。</p>\n\n<p>如果满足下述条件之一，则认为数组 <code>nums1</code> 和 <code>nums2</code> 是 <strong>不同</strong> 数组：</p>\n\n<ul>\n\t<li>两数组长度 <strong>不同</strong> ，或者</li>\n\t<li>存在 <strong>至少 </strong>一个下标 <code>i</code> 满足 <code>nums1[i] != nums2[i]</code> 。</li>\n</ul>\n\n<p><strong>子数组</strong> 定义为：数组中的连续元素组成的一个 <strong>非空</strong> 序列。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [<em><strong>2</strong></em>,3,3,<em><strong>2</strong></em>,<em><strong>2</strong></em>], k = 2, p = 2\n<strong>输出：</strong>11\n<strong>解释：</strong>\n位于下标 0、3 和 4 的元素都可以被 p = 2 整除。\n共计 11 个不同子数组都满足最多含 k = 2 个可以被 2 整除的元素：\n[2]、[2,3]、[2,3,3]、[2,3,3,2]、[3]、[3,3]、[3,3,2]、[3,3,2,2]、[3,2]、[3,2,2] 和 [2,2] 。\n注意，尽管子数组 [2] 和 [3] 在 nums 中出现不止一次，但统计时只计数一次。\n子数组 [2,3,3,2,2] 不满足条件，因为其中有 3 个元素可以被 2 整除。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [1,2,3,4], k = 4, p = 1\n<strong>输出：</strong>10\n<strong>解释：</strong>\nnums 中的所有元素都可以被 p = 1 整除。\n此外，nums 中的每个子数组都满足最多 4 个元素可以被 1 整除。\n因为所有子数组互不相同，因此满足所有限制条件的子数组总数为 10 。\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;= 200</code></li>\n\t<li><code>1 &lt;= nums[i], p &lt;= 200</code></li>\n\t<li><code>1 &lt;= k &lt;= nums.length</code></li>\n</ul>\n",
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