Sum of Floored Pairs
Given an integer array nums, return the sum of floor(nums[i] / nums[j]) for all pairs of indices 0 <= i, j < nums.length in the array.
Given an integer array nums, return the sum of floor(nums[i] / nums[j]) for all pairs of indices 0 <= i, j < nums.length in the array. Since the answer may be too large, return it modulo 10^9 + 7.
The floor() function returns the integer part of the division.
Example 1
Input: nums = [2,5,9]
Output: 10
Explanation: floor(2 / 5) = floor(2 / 9) = floor(5 / 9) = 0 floor(2 / 2) = floor(5 / 5) = floor(9 / 9) = 1 floor(5 / 2) = 2 floor(9 / 2) = 4 floor(9 / 5) = 1 We calculate the floor of the division for every pair of indices in the array then sum them up.
Example 2
Input: nums = [7,7,7,7,7,7,7]
Output: 49
Constraints
- 1 <= nums.length <= 10^5
- 1 <= nums[i] <= 10^5
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