S=input()
ans=False
pos=-1
for i in range(len(S)):
  if S[i]=='.':
    pos=i
    ans=True
    break
if ans==False:
  N=int(S)
  if N==1:
    print(1)
  else:
    print(2)
  exit()
y=S[pos+1:]
y=y+'0'*(100-len(y))
while y[0]=='0':
  y=y[1:]
count=2
if pos==1 and S[0]=='0':
  count=0
z=10**100
y=int(y)
while True:
  count+=1
  if z%y==0:
    print(count)
    exit()
  y,z=z-y,y
  if count>=10**3:
    print('infty')
    exit()