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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, math

inp = [map(float, i.split(' ')) for i in sys.stdin.read().strip().splitlines()]

res = (0, 0)
su = 99999999999

for a in xrange(1, 11):
    for h in xrange(1, 11):
        nsu = abs(h * math.sin(math.atan( (a / 2.0) / h)) - inp[0][0])
        if nsu < su:
            su = nsu
            res = a, h

sys.stdout.write(' '.join(map(str, res)))
