This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include <ext/pb_ds/tree_policy.hpp>
//#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
//using namespace __gnu_pbds;
#define FOR(i,start,end) for(int i=start;i<(int)(end);i++)
#define FORE(i,start,end) for(int i=start;i<=(int)end;i++)
#define RFOR(i,start,end) for(int i = start; i>end; i--)
#define RFORE(i,start,end) for(int i = start; i>=end; i--)
#define all(a) a.begin(), a.end()
#define mt make_tuple
#define mp make_pair
#define v vector
#define sf scanf
#define pf printf
#define dvar(x) cout << #x << " := " << x << "\n"
#define darr(x,n) FOR(i,0,n) cout << #x << "[" << i << "]" << " := " << x[i] << "\n"
typedef long long ll;
typedef long double ld;
typedef pair<int, int > pii;
typedef pair<ll, ll> pll;
//template <class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T> void minn(T &a, T b) { a = min(a, b); }
template<class T> void maxx(T &a, T b) { a = max(a, b); }
void io() {
#ifdef LOCAL_PROJECT
freopen("input.in", "r", stdin); freopen("output.out", "w", stdout);
#else
/* online submission */
#endif
ios_base::sync_with_stdio(false); cin.tie(NULL);
}
const ll MOD = 1000000007LL;
const ll PRIME = 105943LL;
const ll INF = 1e18;
/****************************************************************/
const int MX = 20100;
int n, m;
int type[MX];
v<int> adj[MX], rev[MX];
void input() {
cin >> n >> m;
string s;
cin >> s;
FORE(i, 1, n) type[i] = -1;
FORE(i, 1 + n, m + n) type[i] = ((s[i - 1 - n] == '?') ? -1 : (s[i - 1 - n] - '0'));
FORE(i, 1 + n, m + n) {
string x, y;
cin >> x >> y;
int xx = stoi(x.substr(1, x.size() - 1));
int yy = stoi(y.substr(1, y.size() - 1));
int a = (x[0] == 'x') ? (xx) : (xx + n);
int b = (y[0] == 'x') ? (yy) : (yy + n);
adj[i].push_back(a), adj[i].push_back(b);
rev[a].push_back(i), rev[b].push_back(i);
}
}
void check() {
darr(type, n + m + 1);
FORE(i, 1, n + m) {
cout << i << ": ";
for (int x : adj[i])
cout << x << " ";
cout << "\n";
}
}
void fill0() {
bool vis[MX];
memset(vis, 0, sizeof vis);
queue<int> q;
FORE(i, 1, n + m) if (type[i] == 0) {
q.push(i);
vis[i] = 1;
}
while (!q.empty()) {
int x = q.front();
type[x] = 0;
q.pop();
for (auto i : adj[x]) if (!vis[i]) {
q.push(i);
vis[i] = 1;
}
}
}
bool vis0[MX];
bool is0(int a) {
// can not be 1: T-not vis F-vis
return !vis0[a];
}
void init() {
queue<int> q;
FORE(i, 1, n) if (type[i] == -1) {
q.push(i);
vis0[i] = 1;
}
while (!q.empty()) {
int x = q.front();
q.pop();
for (auto i : rev[x]) if (!vis0[i]) {
q.push(i);
vis0[i] = 1;
}
}
}
bool is1(int a) {
// can not be 0
int tmptyp[MX];
FORE(i, 1, n + m) tmptyp[i] = type[i];
bool vis[MX];
memset(vis, 0, sizeof vis);
queue<int> q;
q.push(a);
while (!q.empty()) {
int x = q.front();
tmptyp[x] = 0;
q.pop();
for (auto i : adj[x]) if (!vis[i]) {
q.push(i);
vis[i] = 1;
}
}
memset(vis, 0, sizeof vis);
FORE(i, 1, n) if (tmptyp[i] == -1) {
q.push(i);
vis[i] = 1;
}
while (!q.empty()) {
int x = q.front();
q.pop();
for (auto i : rev[x]) if (!vis[i]) {
q.push(i);
vis[i] = 1;
}
}
// vis - reachable by 1
FORE(i, 1, n + m) if (type[i] == 1)
if (vis[i] == false) return true;
return false;
}
int main() {
io();
input();
fill0();
// check();
init();
string ans;
RFORE(i, m + n, 1 + n) {
if (type[i] != -1) ans += to_string(type[i]);
else if (is0(i)) {
ans += '0';
type[i] = 0;
}
else if (is1(i)) {
ans += '1';
type[i] = 1;
}
else {
ans += '?';
}
}
reverse(all(ans));
cout << ans;
return 0;
}
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