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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
k = float(input())
eps = 10 ** -5
for x in range(1, 11):
    for y in range(1, 11):
        if abs(x**2 * y**2 / (x**2 + 4 * y**2) - k**2) < eps:
            print(x, y)
            break
    else: continue
    break
