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Solution: Construct Target Array With Multiple Sums

Explore how to solve the problem of constructing a target array from an initial array of ones by using a max heap and reverse operations. Understand how to efficiently reduce the problem size by working backward with modulo and subtraction, minimizing computation while ensuring correctness and scalability.

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 ...