This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//I love armpit fetish
#include <bits/stdc++.h>
using namespace std;
#define debug(x) cerr << #x << " = " << x << '\n';
#define BP() cerr << "OK!\n";
#define PR(A, n) {cerr << #A << " = "; for (int _=1; _<=n; ++_) cerr << A[_] << ' '; cerr << '\n';}
#define PR0(A, n) {cerr << #A << " = "; for (int _=0; _<n; ++_) cerr << A[_] << ' '; cerr << '\n';}
#define FILE_NAME "data"
const int MAX_N = 10002;
const int BITSET_SIZE = 10001; ///notice
const int INF = 1e9;
int m, n, curVal[MAX_N], val[MAX_N], f[MAX_N];
vector<int> input[MAX_N];
bitset<BITSET_SIZE> subset[MAX_N];
string element_state;
void enter() {
cin >> n >> m >> element_state;
for (int i=1; i<=m; ++i) {
char x1, x2;
int L, R;
cin >> x1 >> L >> x2 >> R;
if (x1=='x') {
subset[i].set(L);
input[i].push_back(-L);
}
else {
input[i].push_back(L);
}
if (x2=='x') {
subset[i].set(R);
input[i].push_back(-R);
}
else {
input[i].push_back(R);
}
}
}
void init_subset() {
for (int u=1; u<=m; ++u) {
for (int i=0; i<input[u].size(); ++i) {
int v = input[u][i];
if (v>0)
subset[u] |= subset[v];
}
}
}
void find_0s_element() {
bitset<BITSET_SIZE> s;
for (int i=1; i<=m; ++i)
if (element_state[i-1]=='0')
s |= subset[i];
memset(curVal, -1, sizeof(curVal));
for (int i=1; i<=n; ++i)
if (s.test(i))
curVal[i] = 0;
for (int i=1; i<=m; ++i)
if ((s | subset[i]) == s)
element_state[i-1] = '0';
}
int check(int u) {
if (f[u]!=INF)
return f[u];
f[u] = 0;
for (int i=0; i<input[u].size(); ++i) {
int v = input[u][i];
if (v<0) {
f[u] |= val[-v];
}
else {
int tmp = check(v);
if (tmp==-1)
return f[u] = -1;
f[u] |= tmp;
}
}
if (element_state[u-1]!='?' && element_state[u-1]-'0' != f[u])
return f[u] = -1;
return f[u];
}
bool check() {
for (int u=1; u<=m; ++u) {
f[u] = 0;
for (int i=0; i<input[u].size(); ++i) {
int v = input[u][i];
if (v<0)
f[u] |= val[-v];
else
f[u] |= f[v];
}
if (element_state[u-1]!='?' && element_state[u-1]-'0'!=f[u])
return false;
}
return true;
}
void solve() {
init_subset();
find_0s_element();
for (int i=1; i<=m; ++i) {
if (element_state[i-1] == '?') {
for (int j=1; j<=n; ++j) {
val[j] = curVal[j];
if (subset[i].test(j))
val[j] = 0;
if (val[j]==-1)
val[j] = 1;
}
if (!check())
element_state[i-1] = '1';
}
}
cout << element_state;
}
int main() {
//#define OFFLINE_JUDGE doraemon
#ifdef OFFLINE_JUDGE
freopen(FILE_NAME".inp", "r", stdin);
freopen(FILE_NAME".out", "w", stdout);
#endif
ios::sync_with_stdio(0); cin.tie(0);
enter();
solve();
}
Compilation message (stderr)
ili.cpp: In function 'void init_subset()':
ili.cpp:46:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i=0; i<input[u].size(); ++i) {
~^~~~~~~~~~~~~~~~
ili.cpp: In function 'int check(int)':
ili.cpp:72:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i=0; i<input[u].size(); ++i) {
~^~~~~~~~~~~~~~~~
ili.cpp: In function 'bool check()':
ili.cpp:92:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i=0; i<input[u].size(); ++i) {
~^~~~~~~~~~~~~~~~
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