#include <bits/stdc++.h>
using namespace std;
using ll = long long;
ll const m = 998244353;
ll mpow(ll a, ll n) {
    ll ret = 1;
    while (n) {
        if (n & 1) {
            ret = (ret * a) % m;
        }
        a = (a * a) % m;
        n >>= 1;
    }
    return ret;
}
int main () {
    string s;
    cin >> s;
    ll hc = 0;
    if (s.size() < 3) {
        cout << 0 << endl;
        return 0;
    }
    ll zoz[4][4];
    for (auto& a : zoz) {
        for (auto& b : a) {
            b = 0;
        }
    }
    zoz[0][0] = 1;
    for (auto c : s) {
        if (c == '?') {
            for (int i = 3; i > 0; i --) {
                for (int j = i; j > 0; j --) {
                    zoz[j][i] += zoz[j - 1][i - 1];
                    zoz[j][i] %= m;
                }
            }
            hc ++;
        } else if (c == '1') {
            for (int i = 0; i < 4; i ++) {
                zoz[i][2] += zoz[i][1];
                zoz[i][2] %= m;
            }
        } else {
            for (int j = 3; j > 0; j -= 2) {
                for (int i = 0; i < 4; i ++) {
                    zoz[i][j] += zoz[i][j - 1];
                    zoz[i][j] %= m;
                }
            }
        }
    }
    ll ans = 0;
    ll n = s.size();
    for (int i = 0; i <= min(hc, 3ll); i ++) {
        ans += (mpow(2, hc - i) * zoz[i][3]) % m;
        ans %= m;
    }
    ans = (ans * mpow(2, n - 3)) % m;
    cout << ans << endl;
}