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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 math
s=input()
r=float(s)
def okrugl(fl):
    return (round(fl*1000000)/1000000)
flag=1
for a in range(1,11):
    for h in range(1,11):
        
        #print(((a*h)/(math.sqrt(a*a+h*h*4))))0
        
        if okrugl((a*h)/(math.sqrt(a*a+h*h*4)))==r:
            if flag:
                print(a," ",h)
                flag=0
