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>
#define pii pair<int, int>
#define f first
#define s second
#define pb push_back
using namespace std;
const int up = 3e5 + 5;
int n;
int par[up], type[up], inDegree[up], root[up];
vector <pii> equals, lesses;
vector <vector<int>> g;
void extract(string &ACB, int &A, int &B, char &C) {
A = B = 0;
int i = 0;
while(isdigit(ACB[i])) {
A = 10 * A + ACB[i] - '0';
++i;
}
C = ACB[i];
++i;
while(ACB[i] != '\0') {
B = 10 * B + ACB[i] - '0';
++i;
}
}
int Find(int u) {
return (par[u] < 0 ? u : par[u] = Find(par[u]));
}
void Union(int u, int v) {
u = Find(u);
v = Find(v);
if(u != v) {
if(par[u] > par[v]) {
swap(u, v);
}
par[u] += par[v];
par[v] = u;
}
}
void dfs(int node, int depth) {
if(depth == n) {
type[node] = n;
}
if(type[node]) return;
type[node] = -1;
for(int to : g[node]) {
dfs(to, depth + 1);
if(type[to]) {
type[node] = type[to] - 1;
}
}
}
void solve() {
ios_base::sync_with_stdio(false);
int m, v, A, B;
char C;
string ACB;
cin >> n >> m >> v;
for(int i = 0; i < v; ++i) {
cin >> ACB;
extract(ACB, A, B, C);
if(C == '=') {
equals.pb({A, B});
}else {
lesses.pb({A, B});
}
}
memset(par, -1, sizeof(par));
for(pii e : equals) {
Union(e.f, e.s);
}
for(int i = 1; i <= m; ++i) {
root[i] = Find(i);
}
g.resize(m + 1);
for(pii l : lesses) {
g[root[l.f]].pb(root[l.s]);
++inDegree[root[l.s]];
}
for(int i = 1; i <= m; ++i) {
if(i == root[i] && !inDegree[i]) dfs(i, 1);
}
for(int i = 1; i <= m; ++i) {
if(type[root[i]] <= 0) {
cout << '?' << '\n';
}else {
cout << 'K' << type[root[i]] << '\n';
}
}
}
int main()
{
solve();
return 0;
}
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