Perfect Squares

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 the product of some integer with itself. For example, 1, 4, 9, and 16 are perfect squares while 3 and 11 are not.

Example 1
Inputn = 12
Output3
12 = 4 + 4 + 4.
Example 2
Inputn = 13
Output2
13 = 4 + 9.

Constraints

  • 1 <= n <= 10^4

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