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Grokking the Coding Interview Patterns

Solution: Construct Target Array With Multiple Sums

Understand how to solve the problem of constructing a target array from an array of ones by applying a max heap-based approach. Explore the use of reverse operations and modulo to reduce the problem space and implement an efficient algorithm that works backward from the target array, ensuring computational efficiency and correctness.

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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 ...