Melanie has a circular desk and many Newton's cradles she wants to fit on it. If the center of the desk is treated as and each Newton's cradle can only be placed on a lattice point (points with integer coordinates), what is the maximum amount of Newton's cradles that can be placed on the desk given radius ?
Input Specification
A single integer, .
Output Specification
The number of cradles that can be put on the desk.
Sample Input
1
Sample Output
5
Comments
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The constraints are different.