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leetcode-problemset/leetcode-cn/problem (English)/移除最小数对使数组有序 II(English) [minimum-pair-removal-to-sort-array-ii].html
2025-04-24 21:29:06 +08:00

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<p>Given an array <code>nums</code>, you can perform the following operation any number of times:</p>
<ul>
<li>Select the <strong>adjacent</strong> pair with the <strong>minimum</strong> sum in <code>nums</code>. If multiple such pairs exist, choose the leftmost one.</li>
<li>Replace the pair with their sum.</li>
</ul>
<p>Return the <strong>minimum number of operations</strong> needed to make the array <strong>non-decreasing</strong>.</p>
<p>An array is said to be <strong>non-decreasing</strong> if each element is greater than or equal to its previous element (if it exists).</p>
<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">nums = [5,2,3,1]</span></p>
<p><strong>Output:</strong> <span class="example-io">2</span></p>
<p><strong>Explanation:</strong></p>
<ul>
<li>The pair <code>(3,1)</code> has the minimum sum of 4. After replacement, <code>nums = [5,2,4]</code>.</li>
<li>The pair <code>(2,4)</code> has the minimum sum of 6. After replacement, <code>nums = [5,6]</code>.</li>
</ul>
<p>The array <code>nums</code> became non-decreasing in two operations.</p>
</div>
<p><strong class="example">Example 2:</strong></p>
<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">nums = [1,2,2]</span></p>
<p><strong>Output:</strong> <span class="example-io">0</span></p>
<p><strong>Explanation:</strong></p>
<p>The array <code>nums</code> is already sorted.</p>
</div>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>
<li><code>-10<sup>9</sup> &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>
</ul>