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 pair<int,int> ii;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<ll> vll;
typedef vector<pll> vpll;
#define PB push_back
#define PF push_front
#define PPB pop_back
#define PPF pop_front
#define X first
#define Y second
#define MP make_pair
#define all(x) (x).begin(), (x).end()
const int mod = 1e9 + 7; //998244353;
const int inf = 1e9 + 7;
const ll INF = 1e18 + 7;
const int logo = 20;
const int MAXN = 2e4 + 7;
const int off = 1 << logo;
const int trsz = off << 1;
const int dx[] = {1, -1, 0, 0};
const int dy[] = {0, 0, -1, 1};
int ans[MAXN], n, m;
vi g[MAXN];
bool bio[MAXN], in[MAXN];
void dfs(int u){
if(bio[u]) return;
bio[u] = 1;
if(u < n) return;
for(auto &x : g[u]) dfs(x);
}
void solve(){
cin >> n >> m;
for(int i=0; i<n+m; i++) ans[i] = 2;
for(int i=n; i<n+m; i++){
char x;
cin >> x;
if(x == '1') ans[i] = 1;
if(x == '0') ans[i] = 0;
}
for(int i=n; i<n+m; i++){
for(int j=0; j<2; j++){
char x;
cin >> x;
int vl;
cin >> vl;
vl--;
if(x == 'c') vl += n;
g[i].PB(vl);
}
}
for(int i=n; i<n+m; i++) if(ans[i] == 0){
fill(bio, bio + n + m, 0);
dfs(i);
for(int j=0; j<n+m; j++) if(bio[j]) ans[j] = 0;
}
for(int i=n; i<n+m; i++){
int su = 0;
for(auto &x : g[i]) su += ans[x];
if(su == 0) ans[i] = 0;
}
for(int i=n; i<n+m; i++){
if(ans[i] != 2) continue;
fill(bio, bio + n + m, 0);
fill(in, in + n + m, 0);
dfs(i);
for(int j=0; j<n; j++) if(ans[j] == 0 or bio[j]) in[j] = 1;
for(int j=n; j<n+m; j++){
in[j] = 1;
for(auto &x : g[j]) in[j] &= in[x];
}
for(int j=0; j<n+m; j++) if(in[j] and ans[j] == 1) ans[i] = 1;
}
for(int i=n; i<n+m; i++){
if(ans[i] == 2) cout << "?";
else cout << ans[i];
}
cout << "\n";
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int tt = 1;
//cin >> tt;
while(tt--) solve();
return 0;
}
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