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Grokking the Coding Interview Patterns in C#

Solution: Perfect Squares

Explore a fast, mathematical approach to solve the Perfect Squares problem in coding interviews. Understand how number theory theorems like the Four-Square and Three-Square theorems guide efficient checks to determine the minimal count of perfect squares summing to a given integer, improving both speed and accuracy.

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Statement

Given an integer, n, return the least number of perfect square numbers that sum to n.

A perfect square is an integer that is the square of an integer. In other words, it is an integer that is the result of multiplying a whole integer by itself. For example, 11, 44, 99, and 1616 are perfect squares, but 33, 55, and 1111 are not.

Constraints:

  • 1≤1 \leq ...