Dome

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

inputFormat

Input

The input contains a single floating-point number x with exactly 6 decimal places (0 < x < 5).

outputFormat

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

样例

4.024922

9 9

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