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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
from math import sqrt
import sys

r = float(raw_input())

diff = 1000000.0
sol = (0,0)

for h in range(1, 11):
    for a in range(1,11):
        minr = float(a)/2 * h / sqrt((float(a)/2)**2 + h*h)

#        print a, h, minr , r,

        if minr-1e-4 <= r:
#            print "OK"
            if diff >= r-minr:
                diff = r-minr
                sol = (a,h)
        else:
#            print "NO"
            pass

print sol[0],sol[1]