{leetcode}/problems/count-of-sub-multisets-with-bounded-sum/[LeetCode - 2902. Count of Sub-Multisets With Bounded Sum ^]
You are given a 0-indexed array nums of non-negative integers, and two integers l and r.
Return the count of sub-multisets within nums where the sum of elements in each subset falls within the inclusive range of [l, r].
Since the answer may be large, return it modulo 10^9 ^+ 7.
A sub-multiset is an unordered collection of elements of the array in which a given value x can occur 0, 1, …, occ[x] times, where occ[x] is the number of occurrences of x in the array.
Note that:
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Two sub-multisets are the same if sorting both sub-multisets results in identical multisets.
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The sum of an empty multiset is
0.
Example 1:
Input: nums = [1,2,2,3], l = 6, r = 6
Output: 1
Explanation: The only subset of nums that has a sum of 6 is {1, 2, 3}.
Example 2:
Input: nums = [2,1,4,2,7], l = 1, r = 5
Output: 7
Explanation: The subsets of nums that have a sum within the range [1, 5] are {1}, {2}, {4}, {2, 2}, {1, 2}, {1, 4}, and {1, 2, 2}.
Example 3:
Input: nums = [1,2,1,3,5,2], l = 3, r = 5
Output: 9
Explanation: The subsets of nums that have a sum within the range [3, 5] are {3}, {5}, {1, 2}, {1, 3}, {2, 2}, {2, 3}, {1, 1, 2}, {1, 1, 3}, and {1, 2, 2}.
Constraints:
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1 ⇐ nums.length ⇐ 2 * 104 -
0 ⇐ nums[i] ⇐ 2 * 104 -
Sum of
numsdoes not exceed2 * 104. -
0 ⇐ l ⇐ r ⇐ 2 * 104