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leetcode-problemset/leetcode-cn/problem (English)/统计中位数为 K 的子数组(English) [count-subarrays-with-median-k].html
2022-12-04 20:08:50 +08:00

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<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>
<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>
<p><strong>Note</strong>:</p>
<ul>
<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.
<ul>
<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>
</ul>
</li>
<li>A subarray is a contiguous part of an array.</li>
</ul>
<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<pre>
<strong>Input:</strong> nums = [3,2,1,4,5], k = 4
<strong>Output:</strong> 3
<strong>Explanation:</strong> The subarrays that have a median equal to 4 are: [4], [4,5] and [1,4,5].
</pre>
<p><strong class="example">Example 2:</strong></p>
<pre>
<strong>Input:</strong> nums = [2,3,1], k = 3
<strong>Output:</strong> 1
<strong>Explanation:</strong> [3] is the only subarray that has a median equal to 3.
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>n == nums.length</code></li>
<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>
<li><code>1 &lt;= nums[i], k &lt;= n</code></li>
<li>The integers in <code>nums</code> are distinct.</li>
</ul>