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Input

The input contains a single floating-point number x with exactly 6 decimal places (0 < x < 5).

Output

Output two integers separated by a single space. Each integer should be between 1 and 10, inclusive. If several solutions exist, output any of them. Solution will exist for all tests.

Examples

Input

1.200000


Output

3 2


Input

2.572479


Output

10 3


Input

4.024922


Output

9 9
import math

EPS = 0.000001

def height(a, h):
    return a * h / math.sqrt(a ** 2 + 4 * h ** 2)


if __name__ == "__main__":
    r = float(raw_input())
    for a in range(1, 11):
        for h in range(1, 11):
            if abs(height(a, h) - r) < EPS:
                print "{side} {height}".format(side=a, height=h)
                exit(0)
