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Md Ariful Haque @mah-shamim

Number Of Sub-arrays With Odd Sum In Array

Count subarrays with odd sum using prefix sums & parity tracking. For each index, add count of opposite parity prefix sums to result. Update counts & take modulo 10^9 + 7 for large inputs.

1524. Number of Sub-arrays With Odd Sum
Difficulty: Medium
Topics: Array, Math, Dynamic Programming, Prefix Sum
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 109 + 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...