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>
using namespace std;
const int N=3e5+10;
struct DSU {
vector<int> e;
DSU(int N) { e = vector<int>(N, -1); }
int get(int x) { return e[x] < 0 ? x : e[x] = get(e[x]); }
bool same_set(int a, int b) { return get(a) == get(b); }
int size(int x) { return -e[get(x)]; }
bool unite(int x, int y) {
x = get(x), y = get(y);
if (x == y) return false;
if (e[x] > e[y]) swap(x, y);
e[x] += e[y]; e[y] = x; return true;
}
};
vector<int> g[N][2];
int res[N][2];
void dfs(int at, int b) {
for(int to:g[at][b]) {
if(!res[to][b])dfs(to,b);
res[at][b]=max(res[to][b]+1,res[at][b]);
}
}
int main () {
cin.tie(0)->sync_with_stdio(0);
int n, m, v;
cin >> n >> m >> v;
DSU d(m+1);
int a[v], b[v];
for(int i = 0;i<v;i++) {
char c;
cin >> a[i] >> c >> b[i];
if(c=='=') {
d.unite(a[i],b[i]);
a[i]=-1,b[i]=-1;
}
else {
if(c=='>')swap(a[i],b[i]);
}
}
for(int i = 0;i<v;i++) {
if(a[i]==-1)continue;
g[d.get(a[i])][1].push_back(d.get(b[i]));
g[d.get(b[i])][0].push_back(d.get(a[i]));
}
for(int i = 1;i<=m;i++) {
dfs(d.get(i),1);dfs(d.get(i),0);
if(res[d.get(i)][1]+res[d.get(i)][0]==n-1) {
cout << "K" << res[d.get(i)][0]+1 << "\n";
}
else cout << "?\n";
}
}
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