Min Squares

easy
1. You are given a number N.
2. You have to find the minimum number of squares that sum to N.
3. You can always represent a number as a sum of squares of other numbers.
   For eg -> In worst case N can be represented as (1*1) + (1*1) + (1*1)..... N times. 

Input Format

An integer N

Output Format

Check the sample output and question video.

Constraints

1 <= N <= 10^5

Notice

Try First, Check Solution later

1. You should first read the question and watch the question video.
2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input
35
Output
3
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