Submission #225060

#TimeUsernameProblemLanguageResultExecution timeMemory
225060alishahali1382KOVANICE (COI15_kovanice)C++14
100 / 100
342 ms37216 KiB
#include <bits/stdc++.h>
#pragma GCC optimize ("O2")
#pragma GCC optimize ("unroll-loops")
//#pragma GCC optimize("no-stack-protector,fast-math")

using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<pii, int> piii;
typedef pair<ll, ll> pll;
#define debug(x) cerr<<#x<<'='<<(x)<<endl;
#define debugp(x) cerr<<#x<<"= {"<<(x.first)<<", "<<(x.second)<<"}"<<endl;
#define debug2(x, y) cerr<<"{"<<#x<<", "<<#y<<"} = {"<<(x)<<", "<<(y)<<"}"<<endl;
#define debugv(v) {cerr<<#v<<" : ";for (auto x:v) cerr<<x<<' ';cerr<<endl;}
#define all(x) x.begin(), x.end()
#define pb push_back
#define kill(x) return cout<<x<<'\n', 0;

const ld eps=1e-7;
const int inf=1000000010;
const ll INF=10000000000000010LL;
const int mod=1000000007;
const int MAXN=300010, LOG=20;

int n, m, k, u, v, x, y, t, a, b, ans;
int dp[MAXN], pd[MAXN];
int par[MAXN];
bool mark[MAXN];
vector<int> G[MAXN], GR[MAXN];
vector<pii> E;

int get(int x){
	if (par[x]==x) return x;
	return par[x]=get(par[x]);
}

void dfs1(int node){
	mark[node]=1;
	for (int v:G[node]){
		if (!mark[v]) dfs1(v);
		dp[node]=max(dp[node], dp[v]+1);
	}
}

void dfs2(int node){
	mark[node]=1;
	for (int v:GR[node]){
		if (!mark[v]) dfs2(v);
		pd[node]=max(pd[node], pd[v]+1);
	}
}

int main(){
	ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
	//freopen("input.txt", "r", stdin);
	//freopen("output.txt", "w", stdout);
	cin>>n>>m>>k;
	for (int i=1; i<=m; i++) par[i]=i;
	while (k--){
		char ch;
		cin>>x>>ch>>y;
		if (ch=='<') E.pb({x, y});
		else par[get(x)]=get(y);
	}
	for (pii p:E){
		G[get(p.first)].pb(get(p.second));
		GR[get(p.second)].pb(get(p.first));
	}
	
	for (int i=1; i<=m; i++) if (par[i]==i && !mark[i]) dfs1(i);
	
	memset(mark, 0, sizeof(mark));
	for (int i=1; i<=m; i++) if (par[i]==i && !mark[i]) dfs2(i);
	
	for (int i=1; i<=m; i++){
		v=get(i);
		if (dp[v]+pd[v]!=n-1) cout<<"?\n";
		else cout<<"K"<<pd[v]+1<<'\n';
	}
	
	
	
	return 0;
}
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