leetcode-problemset/leetcode-cn/originData/count-subarrays-with-median-k.json

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            "title": "Count Subarrays With Median K",
            "titleSlug": "count-subarrays-with-median-k",
            "content": "<p>You are given an array <code>nums</code> of size <code>n</code> consisting of <strong>distinct </strong>integers from <code>1</code> to <code>n</code> and a positive integer <code>k</code>.</p>\n\n<p>Return <em>the number of non-empty subarrays in </em><code>nums</code><em> that have a <strong>median</strong> equal to </em><code>k</code>.</p>\n\n<p><strong>Note</strong>:</p>\n\n<ul>\n\t<li>The median of an array is the <strong>middle </strong>element after sorting the array in <strong>ascending </strong>order. If the array is of even length, the median is the <strong>left </strong>middle element.\n\n\t<ul>\n\t\t<li>For example, the median of <code>[2,3,1,4]</code> is <code>2</code>, and the median of <code>[8,4,3,5,1]</code> is <code>4</code>.</li>\n\t</ul>\n\t</li>\n\t<li>A subarray is a contiguous part of an array.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,2,1,4,5], k = 4\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The subarrays that have a median equal to 4 are: [4], [4,5] and [1,4,5].\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,3,1], k = 3\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> [3] is the only subarray that has a median equal to 3.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == nums.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i], k &lt;= n</code></li>\n\t<li>The integers in <code>nums</code> are distinct.</li>\n</ul>\n",
            "translatedTitle": "统计中位数为 K 的子数组",
            "translatedContent": "<p>给你一个长度为 <code>n</code> 的数组 <code>nums</code> ，该数组由从 <code>1</code> 到 <code>n</code> 的 <strong>不同</strong> 整数组成。另给你一个正整数 <code>k</code> 。</p>\n\n<p>统计并返回 <code>nums</code> 中的 <strong>中位数</strong> 等于 <code>k</code> 的非空子数组的数目。</p>\n\n<p><strong>注意：</strong></p>\n\n<ul>\n\t<li>数组的中位数是按 <strong>递增</strong> 顺序排列后位于 <strong>中间</strong> 的那个元素，如果数组长度为偶数，则中位数是位于中间靠 <strong>左</strong> 的那个元素。\n\n\t<ul>\n\t\t<li>例如，<code>[2,3,1,4]</code> 的中位数是 <code>2</code> ，<code>[8,4,3,5,1]</code> 的中位数是 <code>4</code> 。</li>\n\t</ul>\n\t</li>\n\t<li>子数组是数组中的一个连续部分。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [3,2,1,4,5], k = 4\n<strong>输出：</strong>3\n<strong>解释：</strong>中位数等于 4 的子数组有：[4]、[4,5] 和 [1,4,5] 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [2,3,1], k = 3\n<strong>输出：</strong>1\n<strong>解释：</strong>[3] 是唯一一个中位数等于 3 的子数组。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == nums.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i], k &lt;= n</code></li>\n\t<li><code>nums</code> 中的整数互不相同</li>\n</ul>\n",
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            "hints": [
                "Consider changing the numbers that are strictly greater than k in the array to 1, the numbers that are strictly smaller than k to -1, and k to 0.",
                "After the change, what property does a subarray with median k have in the new array?",
                "An array with median k should have a sum equal to either 0 or 1 in the new array and should contain the element k. How do you count such subarrays?"
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