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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 heap-based approach. Understand the optimized backward algorithm that reduces the problem size through modulo operations and priority queues, improving efficiency compared to brute force. This lesson enables you to apply these techniques to manage dynamic data and solve complex array transformation problems.

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 ...