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Count Partitions with Even Sum Difference

You are given an integer array nums of length n.

You are given an integer array nums of length n.

A partition is defined as an index i where 0 <= i < n - 1, splitting the array into two non-empty subarrays such that:

Return the number of partitions where the difference between the sum of the left and right subarrays is even.

Count Partitions with Even Sum Difference diagram

Example 1

Input: nums = [10,10,3,7,6]

Output: 4

Explanation: The 4 partitions are:

Example 2

Input: nums = [1,2,2]

Output: 0

Explanation: No partition results in an even sum difference.

Example 3

Input: nums = [2,4,6,8]

Output: 3

Explanation: All partitions result in an even sum difference.

Constraints

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

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