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Partition Array Into Three Parts With Equal Sum

Given an array of integers arr, return true if we can partition the array into three non-empty parts with equal sums.

Given an array of integers arr, return true if we can partition the array into three non-empty parts with equal sums.

Formally, we can partition the array if we can find indexes i + 1 < j with (arr[0] + arr[1] + ... + arr[i] == arr[i + 1] + arr[i + 2] + ... + arr[j - 1] == arr[j] + arr[j + 1] + ... + arr[arr.length - 1])

Partition Array Into Three Parts With Equal Sum diagram

Example 1

Input: arr = [0,2,1,-6,6,-7,9,1,2,0,1]

Output: true

Explanation: 0 + 2 + 1 = -6 + 6 - 7 + 9 + 1 = 2 + 0 + 1

Example 2

Input: arr = [0,2,1,-6,6,7,9,-1,2,0,1]

Output: false

Example 3

Input: arr = [3,3,6,5,-2,2,5,1,-9,4]

Output: true

Explanation: 3 + 3 = 6 = 5 - 2 + 2 + 5 + 1 - 9 + 4

Constraints

  • 3 <= arr.length <= 5 * 10^4
  • -10^4 <= arr[i] <= 10^4

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