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Grokking the Coding Interview Patterns

Solution: Construct Target Array With Multiple Sums

Explore how to verify if a target array can be constructed from an initial array of ones by working backwards using max heaps and modulo operations. Understand how this approach improves efficiency compared to straightforward forward simulation, managing complexity with optimized data structures and arithmetic techniques.

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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 ...