mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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186 lines
19 KiB
JSON
186 lines
19 KiB
JSON
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"questionId": "3423",
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"title": "Maximum Sum of Subsequence With Non-adjacent Elements",
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"content": "<p>You are given an array <code>nums</code> consisting of integers. You are also given a 2D array <code>queries</code>, where <code>queries[i] = [pos<sub>i</sub>, x<sub>i</sub>]</code>.</p>\n\n<p>For query <code>i</code>, we first set <code>nums[pos<sub>i</sub>]</code> equal to <code>x<sub>i</sub></code>, then we calculate the answer to query <code>i</code> which is the <strong>maximum</strong> sum of a <span data-keyword=\"subsequence-array\">subsequence</span> of <code>nums</code> where <strong>no two adjacent elements are selected</strong>.</p>\n\n<p>Return the <em>sum</em> of the answers to all queries.</p>\n\n<p>Since the final answer may be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>A <strong>subsequence</strong> is an array that can be derived from another array by deleting some or no elements without changing the order of the remaining elements.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [3,5,9], queries = [[1,-2],[0,-3]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">21</span></p>\n\n<p><strong>Explanation:</strong><br />\nAfter the 1<sup>st</sup> query, <code>nums = [3,-2,9]</code> and the maximum sum of a subsequence with non-adjacent elements is <code>3 + 9 = 12</code>.<br />\nAfter the 2<sup>nd</sup> query, <code>nums = [-3,-2,9]</code> and the maximum sum of a subsequence with non-adjacent elements is 9.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [0,-1], queries = [[0,-5]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong><br />\nAfter the 1<sup>st</sup> query, <code>nums = [-5,-1]</code> and the maximum sum of a subsequence with non-adjacent elements is 0 (choosing an empty subsequence).</p>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 5 * 10<sup>4</sup></code></li>\n\t<li><code>-10<sup>5</sup> <= nums[i] <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= queries.length <= 5 * 10<sup>4</sup></code></li>\n\t<li><code>queries[i] == [pos<sub>i</sub>, x<sub>i</sub>]</code></li>\n\t<li><code>0 <= pos<sub>i</sub> <= nums.length - 1</code></li>\n\t<li><code>-10<sup>5</sup> <= x<sub>i</sub> <= 10<sup>5</sup></code></li>\n</ul>\n",
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"Can you solve each query in <code>O(nums.length)</code> with dynamic programming?",
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