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 <algorithm>
#include <iostream>
#include <bitset>
#include <vector>
using namespace std;
const int N = 1e4 + 8;
int n, m;
string s;
int type[N * 2];
bool mark[N * 2];
bitset <N> bt[N];
vector <int> in[N * 2], out[N * 2];
vector <int> one;
void set0 (int d) {
mark[d] = true;
type[d] = 0;
for (int v: in[d])
if (!mark[v])
set0(v);
}
int main() {
ios::sync_with_stdio(false), cin.tie(0);
cin >> n >> m >> s;
for (int i = 0; i < m; i++)
type[i] = (s[i] == '?'? 2: s[i] - '0');
for (int i = m; i < m + n; i++)
type[i] = 2;
for (int i = 0; i < m; i++)
for (int j = 0; j < 2; j++) {
char c;
int ind;
cin >> c >> ind;
ind--;
if (c == 'x')
ind += m;
in[i].push_back(ind);
out[ind].push_back(i);
}
for (int i = 0; i < m + n; i++)
if (type[i] == 0 && !mark[i])
set0(i);
for (int i = 0; i < m + n; i++)
mark[i] = 0;
for (int i = 0; i < m; i++) {
if (type[i] == 0)
continue;
for (int v: in[i]) {
if (type[v] == 0)
continue;
if (m <= v)
bt[i][v - m] = true;
else
bt[i] |= bt[v];
if (type[v] == 1)
type[i] = 1;
}
if (bt[i].count() == 0)
type[i] = 0;
}
for (int i = m - 1; ~i; i--) {
if (type[i] != 1)
continue;
if (type[in[i][0]] == 1 || type[in[i][1]] == 1)
continue;
if (type[in[i][0]] == 2 && type[in[i][1]] == 2) {
one.push_back(i);
continue;
}
if (type[in[i][0]] == 0)
type[in[i][1]] = 1;
else
type[in[i][0]] = 1;
}
for (int i = 0; i < m; i++) {
if (type[i] != 2)
continue;
if (type[in[i][0]] == 1 || type[in[i][1]] == 1) {
type[i] = 1;
continue;
}
// if (type[in[i][0]] == 0 || type[in[i][1]] == 0)
// continue;
for (int v: one)
if ((bt[i] & bt[v]) == bt[v]) {
type[i] = 1;
break;
}
}
for (int i = 0; i < m; i++)
cout << (type[i] == 2? '?': char('0' + type[i]));
return 0;
}
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