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"categoryTitle": "Algorithms",
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"title": "Max Number of K-Sum Pairs",
"titleSlug": "max-number-of-k-sum-pairs",
"content": "<p>You are given an integer array <code>nums</code> and an integer <code>k</code>.</p>\n\n<p>In one operation, you can pick two numbers from the array whose sum equals <code>k</code> and remove them from the array.</p>\n\n<p>Return <em>the maximum number of operations you can perform on the array</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4], k = 5\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> Starting with nums = [1,2,3,4]:\n- Remove numbers 1 and 4, then nums = [2,3]\n- Remove numbers 2 and 3, then nums = []\nThere are no more pairs that sum up to 5, hence a total of 2 operations.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,1,3,4,3], k = 6\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> Starting with nums = [3,1,3,4,3]:\n- Remove the first two 3&#39;s, then nums = [1,4,3]\nThere are no more pairs that sum up to 6, hence a total of 1 operation.</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>9</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "K 和数对的最大数目",
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"The abstract problem asks to count the number of disjoint pairs with a given sum k.",
"For each possible value x, it can be paired up with k - x.",
"The number of such pairs equals to min(count(x), count(k-x)), unless that x = k / 2, where the number of such pairs will be floor(count(x) / 2)."
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