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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
from math import sqrt
x=input()
best = 10000
aa, hh = -1, -1

for a in range(1,11):
  for h in range(1,11):
    v = a * a * h / 12.0
    b = sqrt(h * h + a * a / 2.0)
    c = b
    p = (a + b + c ) / 2.0
    A = sqrt(p * (p - a) * (p - b) * (p - c))
    r = 3 * v / A
    if abs(x-r) < best:
      best = abs(x-r)
      aa = a
      hh = h

print aa, hh

