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Solution: Construct Target Array With Multiple Sums

Understand how to use heaps to efficiently solve the problem of constructing a target array from an initial array of ones by repeatedly replacing elements with the sum of the array. Explore an optimized approach that works backward from the target array, leveraging a max heap and modulo operations to reduce computational complexity. This lesson helps you grasp algorithmic strategies for dynamic data processes and problem optimization with a focus on heap usage.

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 ...