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Solution: Construct Target Array With Multiple Sums

Explore how to use a max heap and modulo operations to reverse-engineer a target array from an initial array of ones. Understand the backward algorithm that efficiently reduces the target array and confirms its constructability while minimizing computational complexity.

Statement

You are given an array target of n integers.

Starting from an array arr of size n where every element is 1, you may perform the following operation any number of times:

  • Let x be the sum of all current elements in arr.

  • Pick an index i and set arr[i] = x.

Your task is to return True if it’s possible to construct target from arr, otherwise return False.

Constraints:

  • n == target.length ...