import sys
input = sys.stdin.readline

S = input()[:-1]
N = len(S)
acc0 = [0]*(N+1)
acc2 = [0]*(N+1)

for i in range(N):
    acc0[i+1] = acc0[i]+(1 if S[i]=='0' else 0)
    acc2[i+1] = acc2[i]+(1 if S[i]=='?' else 0)

ans = 0
MOD = 998244353
pow2 = [1]*(N+1)

for i in range(N):
    pow2[i+1] = pow2[i]*2%MOD

for i in range(N):
    if S[i]=='0':
        continue
    
    for f1 in range(2):
        for f2 in range(2):
            l = acc0[i] if f1==0 else acc2[i]
            r = acc0[-1]-acc0[i+1] if f2==0 else acc2[-1]-acc2[i+1]
            q = acc2[-1]-f1-f2-(1 if S[i]=='?' else 0)
            
            if q>=0:
                ans += l*r*pow2[q]%MOD
                ans %= MOD

print(ans)