import sys
input = sys.stdin.readline

S=input().strip()
mod=998244353

A=0
z=0
zo=0
q=1

for s in S:
    if s=="0":
        z+=1*q
        A+=zo
    elif s=="1":
        zo+=z
    else:
        A=A+A+zo
        zo=zo+zo+z
        z=z+z+1*q
        q*=2
        
    A%=mod
    z%=mod
    zo%=mod
print(A)