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#2

Perfect Squares

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

Examples

Example 1
Input: n = 12
Output: 3
Explanation:

12 = 4 + 4 + 4. Three 4s (2² + 2² + 2²).

Example 2
Input: n = 13
Output: 2
Explanation:

13 = 4 + 9. Two squares (2² + 3²).

Example 3
Input: n = 1
Output: 1
Explanation:

1 = 1² (already a perfect square).

Constraints

  • 1 <= n <= 10^4

Hints

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Input n (positive integer):
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