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Solution: Perfect Squares

Explore how to determine the least number of perfect square numbers that sum to an integer n by applying number theory results like the Four-Square and Three-Square theorems. Understand an efficient solution that avoids brute force by using checks for perfect squares and sums of squares, enabling faster problem solving in coding interviews.

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, ...