#ifndef Local
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#endif
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/detail/standard_policies.hpp>
#define int long long
#define pb push_back
#define lim 300000
#define till 40001
// # of primes till 1e6 = 7e4
using namespace std;
using namespace __gnu_pbds;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update>ordered_set;
using pii = array<int,2>;
const int mod=1000000007ll;
vector<int>down[300000];
int depth[300000];
bool sure[300000],vis[300000];
int parent[300000];
int find(int i){
if(parent[i]==i)return i;
return parent[i]=find(parent[i]);
}
void unite(int i,int j){
int x=find(i),y=find(j);
parent[max(x,y)]=min(x,y);
}
struct query{
int x,y;
char c;
};
int dfs1(int a){
//cerr<<a<<" is\n";
if(!down[a].size()){
//cerr<<"didnt "<<a<<"\n";
return 1;
}
if(vis[a]){
//cerr<<"already "<<a<<"\n";
return depth[a];
}
//cerr<<"doin "<<a<<"\n";
vis[a]=1;
int ans=0;
for(int i:down[a]){
ans=max(ans,dfs1(i));
}
//cerr<<a<<" "<<ans+1<<"\n";
return depth[a]=ans+1;
}
void dfs2(int a){
sure[a]=1;
for(int i:down[a]){
if(depth[i]==depth[a]-1&&!vis[i]){
dfs2(i);
}
}
}
void solve(){
int n,m,v;
cin>>n>>m>>v;
for(int i=0;i<m;i++){
parent[i]=i;
sure[i]=0;
vis[i]=0;
}
query qs[v];
for(int i=0;i<v;i++){
cin>>qs[i].x>>qs[i].c>>qs[i].y;
qs[i].x--,qs[i].y--;
}
for(int i=0;i<v;i++){
if(qs[i].c=='='){
unite(qs[i].x,qs[i].y);
}
}
for(int i=0;i<v;i++){
if(qs[i].c=='<'){
down[find(qs[i].y)].pb(find(qs[i].x));
}
if(qs[i].c=='>'){
down[find(qs[i].x)].pb(find(qs[i].y));
}
}
for(int i=0;i<m;i++){
depth[find(i)]=dfs1(find(i));
}
for(int i=0;i<m;i++)vis[i]=0;
for(int i=0;i<m;i++){
if(depth[find(i)]==n&&!vis[find(i)]){
dfs2(find(i));
}
//cerr<<depth[find(i)]<<" ";
}
for(int i=0;i<m;i++){
if(sure[find(i)]){
cout<<"K"<<depth[find(i)]<<"\n";
}else{
cout<<"?\n";
}
}
//cerr<<down[find(3)].size()<<"\n";
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
#ifdef Local
#ifndef INTERACTIVE
freopen("in","r",stdin);
#endif
freopen("out","w",stdout);
#endif
int t=1;
//cin>>t;
while (t--)
{
solve();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
10584 KB |
Output is correct |
2 |
Correct |
3 ms |
10584 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
39 ms |
16976 KB |
Output is correct |
2 |
Correct |
42 ms |
16976 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
2005 ms |
13912 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
2049 ms |
24148 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |