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Solution: Perfect Squares

Explore how to solve the perfect squares problem by applying the Four-Square and Three-Square theorems. Understand a fast algorithm that determines the minimum number of perfect squares summing to an integer by simplifying the problem with mathematical checks and avoiding exhaustive searches.

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, ...