This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("Ofast,unroll-loops")
// #pragma comment(linker, "/stack:200000000")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef int ll;
typedef long double ld;
typedef pair <ll, ll> pll;
#ifdef SINA
#define dbg(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1> void __f(const char* name, Arg1&& arg1) { cout << name << " : " << arg1 << std::endl; }
template <typename Arg1, typename... Args> void __f (const char* names, Arg1&& arg1, Args&&... args) {
const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...); }
#define dbg2(x, j, n) cout<< #x << " : "; output((j), (n), x, 1); cout.flush();
#else
#define dbg(...) 0
#define dbg2(x, j, n) 0
#endif
#define SZ(x) ((ll)((x).size()))
#define File(s, t) freopen(s ".txt", "r", stdin); freopen(t ".txt", "w", stdout);
#define input(j, n, a) for (int _i = (j); _i < (n)+(j); _i++) cin>> a[_i];
#define output(j, n, a, t) for (int _i = (j); _i < (n)+(j); _i++) cout<< a[_i] << (((t) && _i != (n)+(j)-1)? ' ' : '\n');
#define kill(x) return cout<< (x) << endl, 0
#define cl const ll
#define fr first
#define sc second
#define lc (v << 1)
#define rc (lc | 1)
#define mid ((l + r) >> 1)
#define All(x) (x).begin(), (x).end()
cl inf = sizeof(ll) == 4 ? (1e9 + 10) : (3e18), mod = 1e9 + 7, MOD = 998244353;
template <class A,class B> ostream& operator << (ostream& out,const pair<A,B>&a){return out<<'('<<a.first<<", "<<a.second<<')';}
template <class A> ostream& operator << (ostream& out, const vector<A> &a) {
out<< '['; for (int i = -1; ++i < int(a.size());) out<< a[i] << (i + 1 < int(a.size()) ? ", " : ""); return out<<']'; }
template <class T, typename _t = less <T> > using Tree = tree <T, null_type, _t, rb_tree_tag, tree_order_statistics_node_update>;
cl N = 1e4 + 1;
bitset <N> bt [N], lmp, mask;
ll X [N], Y [N], n, m;
char state [N], ans [N];
vector <ll> ones;
bool ok () {
for (auto &v : ones) if (!(lmp & bt[v]).count()) return false;
return true;
}
int main ()
{
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin>> n >> m;
for (ll i = 1; i <= n; i++) mask[i] = 1;
for (ll i = 1; i <= m; i++) {
cin>> state[i];
if (state[i] == '1') ones.push_back(i);
}
for (ll i = 1; i <= m; i++) {
char c;
cin>> c;
if (c == 'x') {
cin>> X[i];
bt[i][X[i]] = 1;
} else {
cin>> X[i];
bt[i] |= bt[X[i]];
X[i] += N;
}
cin>> c;
if (c == 'x') {
cin>> Y[i];
bt[i][Y[i]] = 1;
} else {
cin>> Y[i];
bt[i] |= bt[Y[i]];
Y[i] += N;
}
}
lmp = mask;
for (ll i = 1; i <= m; i++) {
if (state[i] == '0') {
ans[i] = '0';
bt[i].flip();
lmp &= bt[i];
}
else if (state[i] == '1') ans[i] = '1';
}
for (ll i = 1; i <= m; i++) if (state[i] == '?') {
if (!(lmp & bt[i]).count()) ans[i] = '0';
else {
bt[i].flip();
mask = lmp;
lmp &= bt[i];
if (!ok()) ans[i] = '1';
else ans[i] = '?';
lmp = mask;
}
}
for (ll i = 1; i <= m; i++) cout<< ans[i];
cerr<< "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n";
return 0;
}
/*
4 4
10??
x1 x2
x2 x3
x3 x4
x1 c3
4 5
11???
x1 x2
x3 x4
x1 x3
x2 x4
c3 c4
*/
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