mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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156 lines
16 KiB
JSON
156 lines
16 KiB
JSON
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"questionId": "2022",
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"title": "Maximum Alternating Subsequence Sum",
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"content": "<p>The <strong>alternating sum</strong> of a <strong>0-indexed</strong> array is defined as the <strong>sum</strong> of the elements at <strong>even</strong> indices <strong>minus</strong> the <strong>sum</strong> of the elements at <strong>odd</strong> indices.</p>\r\n\r\n<ul>\r\n\t<li>For example, the alternating sum of <code>[4,2,5,3]</code> is <code>(4 + 5) - (2 + 3) = 4</code>.</li>\r\n</ul>\r\n\r\n<p>Given an array <code>nums</code>, return <em>the <strong>maximum alternating sum</strong> of any subsequence of </em><code>nums</code><em> (after <strong>reindexing</strong> the elements of the subsequence)</em>.</p>\r\n\r\n<ul>\r\n</ul>\r\n\r\n<p>A <strong>subsequence</strong> of an array is a new array generated from the original array by deleting some elements (possibly none) without changing the remaining elements' relative order. For example, <code>[2,7,4]</code> is a subsequence of <code>[4,<u>2</u>,3,<u>7</u>,2,1,<u>4</u>]</code> (the underlined elements), while <code>[2,4,2]</code> is not.</p>\r\n\r\n<p> </p>\r\n<p><strong class=\"example\">Example 1:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [<u>4</u>,<u>2</u>,<u>5</u>,3]\r\n<strong>Output:</strong> 7\r\n<strong>Explanation:</strong> It is optimal to choose the subsequence [4,2,5] with alternating sum (4 + 5) - 2 = 7.\r\n</pre>\r\n\r\n<p><strong class=\"example\">Example 2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [5,6,7,<u>8</u>]\r\n<strong>Output:</strong> 8\r\n<strong>Explanation:</strong> It is optimal to choose the subsequence [8] with alternating sum 8.\r\n</pre>\r\n\r\n<p><strong class=\"example\">Example 3:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [<u>6</u>,2,<u>1</u>,2,4,<u>5</u>]\r\n<strong>Output:</strong> 10\r\n<strong>Explanation:</strong> It is optimal to choose the subsequence [6,1,5] with alternating sum (6 + 5) - 1 = 10.\r\n</pre>\r\n\r\n<p> </p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>1 <= nums.length <= 10<sup>5</sup></code></li>\r\n\t<li><code>1 <= nums[i] <= 10<sup>5</sup></code></li>\r\n</ul>",
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"exampleTestcases": "[4,2,5,3]\n[5,6,7,8]\n[6,2,1,2,4,5]",
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"code": "class Solution {\r\n\r\n /**\r\n * @param Integer[] $nums\r\n * @return Integer\r\n */\r\n function maxAlternatingSum($nums) {\r\n \r\n }\r\n}",
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"code": "func maxAlternatingSum(nums []int) int64 {\r\n \r\n}",
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"code": "# @param {Integer[]} nums\r\n# @return {Integer}\r\ndef max_alternating_sum(nums)\r\n \r\nend",
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"code": "object Solution {\r\n def maxAlternatingSum(nums: Array[Int]): Long = {\r\n \r\n }\r\n}",
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"langSlug": "rust",
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"code": "impl Solution {\r\n pub fn max_alternating_sum(nums: Vec<i32>) -> i64 {\r\n \r\n }\r\n}",
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"code": "(define/contract (max-alternating-sum nums)\r\n (-> (listof exact-integer?) exact-integer?)\r\n\r\n )",
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"hints": [
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"Is only tracking a single sum enough to solve the problem?",
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"How does tracking an odd sum and an even sum reduce the number of states?"
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],
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"sampleTestCase": "[4,2,5,3]",
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