This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
#define FOR(i,a) for (int i=0;i<(a);++i)
#define FORD(i,a) for (int i=(a)-1;i>=0;i--)
#define FORT(i,a,b) for (int i=(a);i<=(b);++i)
#define FORTD(i,b,a) for (int i=(b);i>=(a);--i)
#define trav(i,v) for (auto i : v)
#define all(v) v.begin(),v.end()
#define ad push_back
#define fr first
#define sc second
#define mpr(a,b) make_pair(a,b)
#define pir pair<int,int>
#define all(v) v.begin(),v.end()
#define make_unique(v) v.erase(unique(all(v)),v.end())
#define fastio ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define srng mt19937 rng(chrono::steady_clock::now().time_since_epoch().count())
#define y1 EsiHancagorcRepa
const int N=2e4+10;
const ll MOD2=998244353;
const ll MOD=1e9+7;
int g[N][2],ans[N];
bitset<N> has[N],zro,nz;
vector<int> gn[N];
bool col[N];
int main(){
fastio;
srng;
#ifdef ALEXPC
freopen("input.txt","r",stdin);
freopen("output.txt","w",stdout);
#endif
int n,m;
cin>>n>>m;
assert(n<=8);
FOR(i,n){
has[i][i]=1;
}
FORT(i,n,n+m-1){
char c;
cin>>c;
ans[i]=2;
if (c=='1')ans[i]=1;
if (c=='0')ans[i]=0;
}
FORT(i,n,n+m-1){
string a,b;
cin>>a>>b;
if (a[0]=='c') g[i][0]=n+(a[1]-'1');
else g[i][0]=(a[1]-'1');
if (b[0]=='c') g[i][1]=n+(b[1]-'1');
else g[i][1]=(b[1]-'1');
//cout<<g[i][0]<<" "<<g[i][1]<<endl;
has[i]=has[g[i][0]]|has[g[i][1]];
gn[g[i][0]].ad(i);
gn[g[i][1]].ad(i);
if (ans[i]==0)zro|=has[i];
}
FORT(i,n,n+m-1){
if (ans[i]==2){
if ((zro&has[i])==has[i]){
ans[i]=0;
continue;
}
nz=zro|has[i];
FORT(j,n,n+m-1){
if ((nz&has[j])==has[j] && ans[j]==1){
ans[i]=1;
break;
}
}
}
}
FORT(i,n,n+m-1){
if (ans[i]!=2)cout<<(char)(ans[i]+'0');
else cout<<'?';
}
return 0;
}
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