s = input()
mod = 998244353

n = len(s)
LtoR = [[0 for _ in range(3)] for _ in range(n + 1)]
RtoL = [[0 for _ in range(3)] for _ in range(n + 1)]
for i in range(n):
    if s[i] == '0':
        LtoR[i + 1][0] = LtoR[i][0] + 1
        LtoR[i + 1][1] = LtoR[i][1]
        LtoR[i + 1][2] = LtoR[i][2]
    elif s[i] == '1':
        LtoR[i + 1][0] = LtoR[i][0]
        LtoR[i + 1][1] = LtoR[i][1] + 1
        LtoR[i + 1][2] = LtoR[i][2]
    else:
        LtoR[i + 1][0] = LtoR[i][0]
        LtoR[i + 1][1] = LtoR[i][1]
        LtoR[i + 1][2] = LtoR[i][2] + 1
for i in range(n - 1, -1, -1):
    if s[i] == '0':
        RtoL[i][0] = RtoL[i + 1][0] + 1
        RtoL[i][1] = RtoL[i + 1][1]
        RtoL[i][2] = RtoL[i + 1][2]
    elif s[i] == '1':
        RtoL[i][0] = RtoL[i + 1][0]
        RtoL[i][1] = RtoL[i + 1][1] + 1
        RtoL[i][2] = RtoL[i + 1][2]
    else:
        RtoL[i][0] = RtoL[i + 1][0]
        RtoL[i][1] = RtoL[i + 1][1]
        RtoL[i][2] = RtoL[i + 1][2] + 1

ans = 0
for i in range(1, n - 1):
    if s[i] == '1' or s[i] == '?':
        ans += pow(2, LtoR[i][2] + RtoL[i + 1][2], mod) * LtoR[i][0] % mod * RtoL[i + 1][0] % mod
        ans %= mod
        if LtoR[i][2] > 0:
            ans += LtoR[i][2] * pow(2, LtoR[i][2] - 1, mod) % mod * LtoR[i + 1][0] % mod
            ans %= mod
        if RtoL[i + 1][2] > 0:
            ans += LtoR[i][0] * RtoL[i + 1][2] % mod * pow(2, RtoL[i + 1][2] - 1, mod) % mod
            ans %= mod
        if LtoR[i][2] > 0 and RtoL[i + 1][2] > 0:
            ans += LtoR[i][2] * RtoL[i + 1][2] % mod * pow(2, LtoR[i][2] + RtoL[i + 1][2] - 2, mod) % mod
            ans %= mod
print(ans)