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Grokking the Coding Interview Patterns in C++

Solution: Construct Target Array With Multiple Sums

Understand how to determine if a target array can be constructed from an initial array of ones by working backward using heaps and modulo operations. This lesson teaches you an efficient algorithm to solve this problem by reducing complexity with a max heap and stepwise value reduction.

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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 ...