You are given an array of integers nums and an integer target.
Return the number of non-empty subsequences of nums such that the sum of the minimum and maximum element on it is less or equal to target. Since the answer may be too large, return it modulo 109 + 7.
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Example 1:
\n\n\nInput: nums = [3,5,6,7], target = 9\nOutput: 4\nExplanation: There are 4 subsequences that satisfy the condition.\n[3] -> Min value + max value <= target (3 + 3 <= 9)\n[3,5] -> (3 + 5 <= 9)\n[3,5,6] -> (3 + 6 <= 9)\n[3,6] -> (3 + 6 <= 9)\n\n\n
Example 2:
\n\n\nInput: nums = [3,3,6,8], target = 10\nOutput: 6\nExplanation: There are 6 subsequences that satisfy the condition. (nums can have repeated numbers).\n[3] , [3] , [3,3], [3,6] , [3,6] , [3,3,6]\n\n\n
Example 3:
\n\n\nInput: nums = [2,3,3,4,6,7], target = 12\nOutput: 61\nExplanation: There are 63 non-empty subsequences, two of them do not satisfy the condition ([6,7], [7]).\nNumber of valid subsequences (63 - 2 = 61).\n\n\n
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Constraints:
\n\n1 <= nums.length <= 1051 <= nums[i] <= 1061 <= target <= 106给你一个整数数组 nums 和一个整数 target 。
请你统计并返回 nums 中能满足其最小元素与最大元素的 和 小于或等于 target 的 非空 子序列的数目。
由于答案可能很大，请将结果对 109 + 7 取余后返回。
\n\n
示例 1：
\n\n\n输入：nums = [3,5,6,7], target = 9\n输出：4\n解释：有 4 个子序列满足该条件。\n[3] -> 最小元素 + 最大元素 <= target (3 + 3 <= 9)\n[3,5] -> (3 + 5 <= 9)\n[3,5,6] -> (3 + 6 <= 9)\n[3,6] -> (3 + 6 <= 9)\n\n\n
示例 2：
\n\n\n输入：nums = [3,3,6,8], target = 10\n输出：6\n解释：有 6 个子序列满足该条件。（nums 中可以有重复数字）\n[3] , [3] , [3,3], [3,6] , [3,6] , [3,3,6]\n\n
示例 3：
\n\n\n输入：nums = [2,3,3,4,6,7], target = 12\n输出：61\n解释：共有 63 个非空子序列，其中 2 个不满足条件（[6,7], [7]）\n有效序列总数为（63 - 2 = 61）\n\n\n
\n\n
提示：
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