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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
var as = parseFloat(readline());
function out(a, b){write(a, b, '\n');}
function equ(a, b)
{
	if(Math.abs(a - b) < 1e-5) return true;
	return false;
}
function solve(callback)
{
	var i, j;
	for(i = 1; i <= 10; ++i)
		for(j = 1; j <= 10; ++j)
			if(equ(as, (i * j / 2) / Math.sqrt((i * i) / 4 + j * j)))
			{
				callback(i, j);
				return;
			}
	return;
}
solve(out);
