mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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180 lines
18 KiB
JSON
180 lines
18 KiB
JSON
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"title": "Sum of Good Subsequences",
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"content": "<p>You are given an integer array <code>nums</code>. A <strong>good </strong><span data-keyword=\"subsequence-array\">subsequence</span> is defined as a subsequence of <code>nums</code> where the absolute difference between any <strong>two</strong> consecutive elements in the subsequence is <strong>exactly</strong> 1.</p>\n\n<p>Return the <strong>sum</strong> of all <em>possible</em> <strong>good subsequences</strong> of <code>nums</code>.</p>\n\n<p>Since the answer may be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p><strong>Note </strong>that a subsequence of size 1 is considered good by definition.</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 = [1,2,1]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">14</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Good subsequences are: <code>[1]</code>, <code>[2]</code>, <code>[1]</code>, <code>[1,2]</code>, <code>[2,1]</code>, <code>[1,2,1]</code>.</li>\n\t<li>The sum of elements in these subsequences is 14.</li>\n</ul>\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 = [3,4,5]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">40</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Good subsequences are: <code>[3]</code>, <code>[4]</code>, <code>[5]</code>, <code>[3,4]</code>, <code>[4,5]</code>, <code>[3,4,5]</code>.</li>\n\t<li>The sum of elements in these subsequences is 40.</li>\n</ul>\n</div>\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>0 <= nums[i] <= 10<sup>5</sup></code></li>\n</ul>\n",
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"Consider counting how many times each element occurs in all possible good subsequences. This can help you derive the final answer more easily.",
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"Use dynamic programming to track both the count and the sum of subsequences where the last element is <code>nums[i]</code>."
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