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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 sys

x = float(sys.stdin.readline())
diff = x
for a in range(1, 11):
    for h in range(1, 11):
        t = pow((a*a*h*h)/(a*a+4*h*h), 0.5)

        if diff > abs(x - t):
            diff = abs(x-t)
            ans_a = a
            ans_h = h

print(ans_a, ans_h)
