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Sum of Variable Length Subarrays

You are given an integer array nums of size n.

You are given an integer array nums of size n. For each index i where 0 <= i < n, define a subarray nums[start ... i] where start = max(0, i - nums[i]).

Return the total sum of all elements from the subarray defined for each index in the array.

Sum of Variable Length Subarrays diagram

Example 1

Input: nums = [2,3,1]

Output: 11

Explanation: The total sum is 11. Hence, 11 is the output.

Example 2

Input: nums = [3,1,1,2]

Output: 13

Explanation: The total sum is 13. Hence, 13 is the output.

Constraints

  • 1 <= n == nums.length <= 100
  • 1 <= nums[i] <= 1000

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