Minimum number of perfect squares
Given an integer
n, you are asked to find as few perfect squares (1, 4, 9, 16, 25, 36, etc.) as possible that sum up to n. How many perfect squares would you pick?Input
The input contains a single integer
n (1 ≤ n ≤ 60000).Output
The program should print the minimum number of perfect squares you would pick.
Examples
Input | Output |
344 | 3 |
Explanation
Constraints
Time limit: 9 seconds
Memory limit: 512 MB
Output limit: 1 MB