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Grokking the Coding Interview Patterns in Python

Solution: Construct Target Array With Multiple Sums

Explore how to use a max heap and modulo operations to check if a target array can be constructed from an array of ones by performing reverse calculations and optimizations. Understand the step-by-step algorithm that works backward to reduce the problem space efficiently, suitable for handling large arrays.

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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 ...