Solution: Perfect Squares
Explore how to determine the least number of perfect square numbers that sum to a given integer by applying mathematical theorems like the Four-Square and Three-Square theorems. Understand an efficient algorithm that avoids brute force, using mathematical checks to classify numbers into sums of one to four squares. Gain insight into time and space complexity for this problem-solving approach.
We'll cover the following...
We'll cover the following...
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,
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