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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
import math

r = float(sys.stdin.readline().strip())

for a in xrange(1, 11):
    for h in xrange(1, 11):
        if math.fabs(0.5 * a * math.sin(math.atan(2.0 * h / a)) - r) < 0.000001:
            print a, h
            sys.exit(0)
