#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
using namespace std;
using std::cout;
using std::cin;
using std::endl;
using ll=long long;
using ld=long double;
ll ILL=2167167167167167167;
const int INF=2100000000;
const int mod=998244353;
#define rep(i,a,b) for (ll i=a;i<b;i++)
#define all(p) p.begin(),p.end()
template<class T> using _pq = priority_queue<T, vector<T>, greater<T>>;
template<class T> ll LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> ll UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;}
template<class T> bool chmax(T &a,const T &b){if(a<b){a=b;return 1;}else return 0;}
template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());}
template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});}
void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";}
template<class T> void vec_out(vector<T> &p){for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}
template<class T> T min(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;}
template<class T> T max(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;}
template<class T> T sum(vector<T> &a){assert(!a.empty());T ans=a[0]-a[0];for(auto &x:a) ans+=x;return ans;}



void solve();
// oddloop
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	
	int t=1;
	//cin>>t;
	rep(i,0,t) solve();
}

void solve(){
	string S;
	cin>>S;
	int N=S.size();
	ll rev=(mod+1)/2;
	vector<vector<ll>> p(N+1,vector<ll>(3));
	auto f=[&](char c)->int{
		if(c=='?') return 2;
		return c-'0';
	};
	rep(i,0,N) p[i+1]=p[i],p[i+1][f(S[i])]++;
	ll ans=0;
	rep(i,0,N){
		if(S[i]=='0') continue;
		ll A=(p[i][0]+rev*p[i][2])%mod;
		ll B=(p[N][0]-p[i+1][0]+rev*(p[N][2]-p[i+1][2]))%mod;
		A=(A*B)%mod;
		if(S[i]=='?') ans=(ans+A*rev)%mod;
		else ans=(ans+A)%mod;
	}
	rep(i,0,p[N][2]) ans=(ans*2ll)%mod;
	cout<<ans<<"\n";
}