Partition Array Into Three Parts With Equal Sum

Easy
10
1
44.2% Acceptance

In this lab, you are tasked with implementing a function canThreePartsEqualSum that takes an array of integers arr and returns true if the array can be partitioned into three non-empty parts with equal sums.

More specifically, we can partition the array if we can find indexes i + 1 < j, such that:

(arr[0] + arr[1] + ... + arr[i] == arr[i + 1] + arr[i + 2] + ... + arr[j - 1] == arr[j] + arr[j + 1] + ... + arr[arr.length - 1])

Your implementation should use ESM import/export and pay attention to the evaluation script's requirements.

Example 1:

const arr = [0, 2, 1, -6, 6, -7, 9, 1, 2, 0, 1];
console.log(canThreePartsEqualSum(arr)); // Output: true
// Explanation: 0 + 2 + 1 = -6 + 6 - 7 + 9 + 1 = 2 + 0 + 1

Example 2:

const arr = [0, 2, 1, -6, 6, 7, 9, -1, 2, 0, 1];
console.log(canThreePartsEqualSum(arr)); // Output: false

Example 3:

const arr = [3, 3, 6, 5, -2, 2, 5, 1, -9, 4];
console.log(canThreePartsEqualSum(arr)); // Output: true
// Explanation: 3 + 3 = 6 = 5 - 2 + 2 + 5 + 1 - 9 + 4

Constraints:

  • 3 <= arr.length <= 5 * 104
  • -104 <= arr[i] <= 104

Challenges

  1. Implement the canThreePartsEqualSum function and export it. Your function should take an array arr of integers as input and return a boolean value as specified in the lab description. Don't forget to use ESM import/export.
  2. Write tests for the canThreePartsEqualSum function in the evaluation script. Ensure that the tests cover various cases, including edge cases and possible errors.