S=input()
A,B,C=[0],[0],[0]
for s in S:
  if s=='0':
    A.append(A[-1]+1)
    B.append(B[-1])
    C.append(C[-1])
  elif s=='1':
    A.append(A[-1])
    B.append(B[-1]+1)
    C.append(C[-1])
  else:
    A.append(A[-1])
    B.append(B[-1])
    C.append(C[-1]+1)
ans=0
hh=C[-1]
mod=998244353
for i in range(len(S)):
  hl,hr=C[i],C[-1]-C[i+1]
  zl,zr=A[i],A[-1]-A[i+1]
  a,b,c,d=0,0,0,0
  if S[i]=='0':
    continue
  if S[i]=='?':
    a=zl*zr*pow(2,hh-1,mod)
  else:
    a=zl*zr*pow(2,hh,mod)
  if hl>0:
    b=hl*pow(2,hl-1,mod)*zr*pow(2,hr,mod)
  if hr>0:
    c=zl*pow(2,hl,mod)*hr*pow(2,hr-1,mod)
  if hl>0 and hr>0:
    d=hl*pow(2,hl-1,mod)*hr*pow(2,hr-1,mod)
  ans+=a+b+c+d 
  ans%=mod
print(ans)