mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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187 lines
17 KiB
JSON
187 lines
17 KiB
JSON
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"title": "Append K Integers With Minimal Sum",
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"content": "<p>You are given an integer array <code>nums</code> and an integer <code>k</code>. Append <code>k</code> <strong>unique positive</strong> integers that do <strong>not</strong> appear in <code>nums</code> to <code>nums</code> such that the resulting total sum is <strong>minimum</strong>.</p>\n\n<p>Return<em> the sum of the</em> <code>k</code> <em>integers appended to</em> <code>nums</code>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,4,25,10,25], k = 2\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The two unique positive integers that do not appear in nums which we append are 2 and 3.\nThe resulting sum of nums is 1 + 4 + 25 + 10 + 25 + 2 + 3 = 70, which is the minimum.\nThe sum of the two integers appended is 2 + 3 = 5, so we return 5.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [5,6], k = 6\n<strong>Output:</strong> 25\n<strong>Explanation:</strong> The six unique positive integers that do not appear in nums which we append are 1, 2, 3, 4, 7, and 8.\nThe resulting sum of nums is 5 + 6 + 1 + 2 + 3 + 4 + 7 + 8 = 36, which is the minimum. \nThe sum of the six integers appended is 1 + 2 + 3 + 4 + 7 + 8 = 25, so we return 25.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>\n\t<li><code>1 <= k <= 10<sup>8</sup></code></li>\n</ul>\n",
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"The k smallest numbers that do not appear in nums will result in the minimum sum.",
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"Recall that the sum of the first n positive numbers is equal to n * (n+1) / 2.",
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"Initialize the answer as the sum of 1 to k. Then, adjust the answer depending on the values in nums."
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