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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
r=float(input())
a=0
h=0
for i in range(1,11):
    for j in range(1,11):
        c=pow(j*j+i*i/4.,0.5)
        rtest=i*j*0.5/c
        if abs(rtest-r)<0.00001:
            a=i
            h=j
print(a,h)