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Solution: Construct Target Array With Multiple Sums

Explore how to use a max heap and modulo operations to verify if a target array can be constructed from an initial array of ones. Learn to apply a reverse engineering approach that reduces computational complexity and avoids exhaustive branching, enabling efficient construction validation for coding interviews.

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

  • 11 \leq n 1000\leq 1000 ...