from fractions import*
from collections import*
X={(1,0,0,0):1,(-1,0,0,0):1}
for i in xrange(10):
Y=defaultdict(lambda:0)
n=d=0
for a,b,s,t in X:
c=X[(a,b,s,t)]
for A in ( (1,-1) if i else [a] ):
for B in 1,0,0,-1:
n+=c*(s+A*B==0==t+A*b+a*B)
d+=c
Y[(a,B,s+A*B,t+A*b)]+=c
print Fraction(n,d)
X=Y
ZnJvbSBmcmFjdGlvbnMgaW1wb3J0Kgpmcm9tIGNvbGxlY3Rpb25zIGltcG9ydCoKClg9eygxLDAsMCwwKToxLCgtMSwwLDAsMCk6MX0KCmZvciBpIGluIHhyYW5nZSgxMCk6CglZPWRlZmF1bHRkaWN0KGxhbWJkYTowKQoJbj1kPTAKCWZvciBhLGIscyx0IGluIFg6CgkJYz1YWyhhLGIscyx0KV0KCQlmb3IgQSBpbiAoICgxLC0xKSBpZiBpIGVsc2UgW2FdICk6CgkJCWZvciBCIGluIDEsMCwwLC0xOgoJCQkJbis9YyoocytBKkI9PTA9PXQrQSpiK2EqQikKCQkJCWQrPWMKCQkJCVlbKGEsQixzK0EqQix0K0EqYildKz1jCglwcmludCBGcmFjdGlvbihuLGQpCglYPVk=