S=input()
def H(l,r,M):
	a=0
	while l<r:
		if M<1:return -1
		f,d=0,1
		if S[r-1]>'(':
			for m in range(r-2,l-1,-1):
				d+=(S[m]>'(')*2-1
				if d<1:
					e,p=0,1
					while p*2<=M:p,e=p*2,e+1
					e,r,f=H(m+1,r-1,e),m,1
					if e<0:return e
					a,M=a+(1<<e),M-(1<<e)
					break
		if f<1:return a+1
	return a
a=H(0,len(S),10**18)
print([a,"INFTY"][a<0])