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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
k = float(input())
flag = True
for i in range(1, 11):
	for j in range(1, 11):
		if abs(k - i / 2 * j / ((i / 2) ** 2 + j ** 2) ** (1 / 2)) <= 1e-6:
			flag = False
			print(i, j)
			break
	if not flag:
		break