s = input()
mod = 998244353
ans = 0
n = len(s)
pre = []
hate = []
last = 0
nowh = 0
for i in range(n):
  si = s[i]
  hate.append(last)
  if si == "0":
    last += pow(2, nowh, mod)
  elif si == "?":
    last *= 2 
    last += pow(2, nowh, mod)
    nowh += 1
  last %= mod
  pre.append(last)

suf = []
hates = []
nowh = 0
last = 0
for i in range(n)[::-1]:
  si = s[i]
  hates.append(last)
  if si == "0":
    last += pow(2, nowh, mod)
  elif si == "?":
    last *= 2 
    last += pow(2, nowh, mod)
    nowh += 1
  last %= mod
  suf.append(last)

suf = suf[::-1]
hates = hates[::-1]
ans = 0
for i in range(1,n-1):
  if s[i] == "1":
    ans += pre[i] * suf[i] % mod
    ans %= mod
  elif s[i] == "?":
    ans += hate[i] * hates[i] % mod
    ans %= mod 
  
print(ans)