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 + 7;
int n,m,v,depth[N],ans[N];
vector < int > graph[N];
struct DSU{
vector < int > par;
DSU(int x){
par.resize(x+1);
iota(par.begin() , par.end() , 0);
}
int find(int a){
if(par[a] == a)return a;
return par[a] = find(par[a]);
}
void merge(int a, int b){
par[find(a)] = find(b);
}
};
int find_depth(int node){
if(depth[node] != -1)return depth[node];
depth[node] = 1;
for(auto itr : graph[node]){
if(itr == node)continue;
depth[node] = max(depth[node] , find_depth(itr) + 1);
}
return depth[node];
}
void investigate(int node , int dist){
if(ans[node] != -1)return;
ans[node] = dist;
for(auto itr : graph[node]){
if(itr == node)continue;
if(depth[itr] == (dist-1)){
investigate(itr,dist-1);
}
}
}
void solve(){
memset(ans , -1 , sizeof(ans));
memset(depth , -1 , sizeof(depth));
cin >> n >> m >> v;
DSU dsu(m);
vector < string > query(v);
for(auto &inp : query){
cin >> inp;
if(inp[1] == '='){
int u = inp[0] - '0' , v = inp[2] - '0';
dsu.merge(u,v);
}
}
for(auto itr : query){
int u = itr[0] - '0' , v = itr[2] - '0';
if(itr[1] == '>'){
graph[dsu.find(u)].push_back(dsu.find(v));
}
else{
graph[dsu.find(v)].push_back(dsu.find(u));
}
}
for(auto &itr : graph){
sort(itr.begin() , itr.end());
itr.resize(unique(itr.begin() , itr.end()) - itr.begin());
}
for(int i = 1;i<=m;i++){
find_depth(dsu.find(i));
}
for(int i = 1;i<=m;i++){
if(depth[dsu.find(i)] == n){
investigate(dsu.find(i),n);
}
}
for(int i = 1;i<=m;i++){
if(ans[dsu.find(i)] == -1)cout << '?' << endl;
else cout << 'K' << ans[dsu.find(i)] << endl;
}
}
signed main(){
ios_base::sync_with_stdio(0);cin.tie(0);
int testcase = 1;//cin >> testcase;
while(testcase--)solve();
}
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