Given an array containing only positive integers, return if you can pick two integers from the array which cuts the array into three pieces such that the sum of elements in all pieces is equal.

Example 1:

Input: array = [2, 4, 5, 3, 3, 9, 2, 2, 2]

Output: true

Explanation: choosing the number 5 and 9 results in three pieces [2, 4], [3, 3] and [2, 2, 2]. Sum = 6.

Example 2:

Input: array =[1, 1, 1, 1],

Output: false

How to approach this? My initial idea is two pointers. But I am not so sure.
Thanks in advance.
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