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Solution: Construct Target Array With Multiple Sums

Explore how to reverse-engineer an array transformation problem using a max heap and modulo operations. This lesson teaches you to efficiently check if a target array can be constructed from an initial array of ones by simulating the process backwards, optimizing complex computations with heap data structures and mathematical reductions.

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 ...