{ "data": { "question": { "questionId": "3646", "questionFrontendId": "3351", "categoryTitle": "Algorithms", "boundTopicId": 2982418, "title": "Sum of Good Subsequences", "titleSlug": "sum-of-good-subsequences", "content": "
You are given an integer array nums. A good subsequence is defined as a subsequence of nums where the absolute difference between any two consecutive elements in the subsequence is exactly 1.
Return the sum of all possible good subsequences of nums.
Since the answer may be very large, return it modulo 109 + 7.
Note that a subsequence of size 1 is considered good by definition.
\n\n\n
Example 1:
\n\nInput: nums = [1,2,1]
\n\nOutput: 14
\n\nExplanation:
\n\n[1], [2], [1], [1,2], [2,1], [1,2,1].Example 2:
\n\nInput: nums = [3,4,5]
\n\nOutput: 40
\n\nExplanation:
\n\n[3], [4], [5], [3,4], [4,5], [3,4,5].\n
Constraints:
\n\n1 <= nums.length <= 1050 <= nums[i] <= 105给你一个整数数组 nums。好子序列 的定义是:子序列中任意 两个 连续元素的绝对差 恰好 为 1。
子序列 是指可以通过删除某个数组的部分元素(或不删除)得到的数组,并且不改变剩余元素的顺序。
\n\n返回 nums 中所有 可能存在的 好子序列的 元素之和。
因为答案可能非常大,返回结果需要对 109 + 7 取余。
注意,长度为 1 的子序列默认为好子序列。
\n\n\n\n
示例 1:
\n\n输入:nums = [1,2,1]
\n\n输出:14
\n\n解释:
\n\n[1], [2], [1], [1,2], [2,1], [1,2,1]。示例 2:
\n\n输入:nums = [3,4,5]
\n\n输出:40
\n\n解释:
\n\n[3], [4], [5], [3,4], [4,5], [3,4,5]。\n\n
提示:
\n\n1 <= nums.length <= 1050 <= nums[i] <= 105nums[i]."
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