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Solution: Perfect Squares

Explore how to determine the minimum count of perfect square numbers that sum to a given integer by applying the Four-Square and Three-Square theorems. Understand an efficient algorithm that reduces computations through number theory insights, and learn to implement this approach to optimize time and space complexity in coding challenges.

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:

  • 11 \leq ...