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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
print(function(x) {
	for (var i = 1; i <= 10; i++) {
		var a = i / 2;
		for (var b = 1; b <= 10; b++) {
			if (Math.abs(Math.sqrt(a * a + b * b) * x - a * b) < 0.001) {
				return i + ' ' + b;
			}
		}
	}
}(+readline()));