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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
def r(a, h):
    return a * h / (2.0 * (h ** 2 + (a / 2.0) ** 2) ** 0.5 )

R = float(raw_input())

besta = 1
besth = 1
bestd = abs(R - r(1, 1))

for a in range(1, 11):
    for h in range(1, 11):
        tmpr = r(a, h)
        d = abs(R - tmpr)
        if d < bestd:
            besta = a
            besth = h
            bestd = d
print besta, besth