S=input()
P=998244353
Q=(P+1)//2
Z=H=z=h=a=0
for s in S:
	Z+=s<'1'
	H+=s>'1'
p=1
R=q=pow(2,H,P)
for s in S:
	b=s>'1'
	if s<'1':z+=1
	else:a,h,p,q=a+(z+h*Q)*R*[1,Q][b]*((Z-z)+(H-h-b)*Q)%P,h+b,p*(1+b)%P,q*[1,Q][b]%P
print(a%P)