Number of Sub-arrays With Odd Sum

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You are given an array of integers arr, return the number of subarrays with an odd sum.

Since the answer can be very large, return it modulo (10^9) + 7.

Example 1:

Input: arr = [1,3,5]

Output: 4

Explanation: All subarrays are [[1],[1,3],[1,3,5],[3],[3,5],[5]]
All sub-arrays sum are [1,4,9,3,8,5].
Odd sums are [1,9,3,5] so the answer is 4.


Example 2:

Input: arr = [2,4,6]

Output: 0

Explanation: All subarrays are [[2],[2,4],[2,4,6],[4],[4,6],[6]]
All sub-arrays sum are [2,6,12,4,10,6].
All sub-arrays have even sum and the answer is 0.


Example 3:

Input: arr = [1,2,3,4,5,6,7]

Output: 16

Constraints:

  • 1 <= arr.length <= (10^5)
  • 1 <= arr[i] <= 100


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