Even Sum Subarray

Given an array $A$ of size $N$, find the size of the largest subarray of $A$ which has an **even sum**. For example, for the array $[2, 1, 2]$ the answer is just $1$ as the largest subarray with an even sum is $[2]$. Note that a subarray is a contiguous part of an array. For the array $[1, 3, 2]$, some possible subarrays are $[1], [2], [1,3], [1,3,2]$. However, $[1,2]$ is not a subarray for t