Submission #1317475

#TimeUsernameProblemLanguageResultExecution timeMemory
1317475Ekber_EkberKOVANICE (COI15_kovanice)C++20
60 / 100
76 ms24244 KiB
#include <bits/stdc++.h>
#define GOOD_LUCK ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define int long long
#define endl "\n"
#define ff first
#define ss second
#define pb push_back
#define all(v) v.begin(), v.end()
using namespace std;

constexpr int MAX = 2e+5 + 1, INF = 2e+16, MOD = 1e+9 + 7, K = 31;

struct DSU{
	int n;
	vector <int> par;
	void init(int n1) {
		n = n1;
		par.assign(n+1, -1);
	}
	int get(int u) {
		if (par[u] < 0) return u;
		return par[u] = get(par[u]);
	}
	bool un(int a, int b) {
		a = get(a);
		b = get(b);
		if(a == b) return 0;
		if (par[a] < par[b]) swap(a, b);
		par[b] += par[a];
		par[a] = b;
		return 1;
	}
};

int k;
vector <int> g[MAX+2], g1[MAX+2], dis(MAX+2, 1), dis1(MAX+2, 0), col(MAX+2, 0), tp, tp1;

void srt(int u, int c=-1) {
	col[u] = 1;
	for (int &i : g[u]) {
		if (col[i]) continue;
		srt(i, u);
	}
	tp.pb(u);
}

void srt1(int u, int c=-1) {
	col[u] = 1;
	for (int &i : g1[u]) {
		if (col[i]) continue;
		srt1(i, u);
	}
	tp1.pb(u);
}

void dfs(int u) {
	col[u] = 1;
	int ct=0;
	for (int &i : g[u]) {
		ct++;
		if (col[i]) continue;
		dfs(i);
		dis[u] = max(dis[i] + 1, dis[u]);
	}
	if (!ct) dis[u] = 1;
}

void dfs1(int u) {
	cerr  << "in " << u << endl;
	col[u] = 1;
	int ct=0;
	for (int &i : g1[u]) {
		ct++;
		if (col[i]) continue;
		dfs1(i);
		dis1[u] = max(dis1[i] + 1, dis1[u]);
	}
	cerr << "out " << u << ": " << dis1[u];
	if (!ct) {
		dis1[u] = 0;
		cerr << " upd to 0";
	}
	cerr << endl;
}

void _() {
	int n, m;
	cin >> k >> n >> m;
	DSU dsu;
	dsu.init(n);
	vector <pair<int, int>> e;
	while(m--) {
		int a, b;
		char c;
		cin >> a >> c >> b;
		if (c == '<') e.pb({a, b});
		else dsu.un(a, b);
	}
	for (auto &i : e) {
		int a = i.ff, b = i.ss;
		a = dsu.get(a), b = dsu.get(b);
		g[a].pb(b);
		g1[b].pb(a);
		// cerr << "added " << b << " -> " << a << endl;
	}
	for (int i = 1; i <= n; i++) {
		if (!col[dsu.get(i)]) srt(dsu.get(i));
	}
	reverse(all(tp));
	// for (int &i : tp) cerr << i << ' ';
	for (int i = 1; i <= n; i++) col[i] = 0;
	for (int i = 1; i <= n; i++) {
		if (!col[dsu.get(i)]) srt1(dsu.get(i));
	}
	reverse(all(tp1));
	// for (int i = 1; i <= n; i++) col[i] = 0;
	// for (int &i : tp) dfs(i);
	// for (int i = 1; i <= n; i++) col[i] = 0;
	// for (int &i : tp1) dfs1(i);

	for (int &i : tp) {
		for (auto &j : g[i]) {
			dis[j] = max(dis[j], dis[i] + 1);
		}
	}
	for (int &i : tp1) {
		for (auto &j : g1[i]) {
			dis1[j] = max(dis1[j], dis1[i] + 1);
		}
	}

	for (int i = 1; i <= n; i++) {
		int a = dsu.get(i);
		dis[i] = dis[a];
		dis1[i] = dis1[a];
		// cerr << dis[i] << ' ' << dis1[i] << endl;
	}
	for (int i = 1; i <= n; i++) {
		if (dis[i] + dis1[i] == k) {
			cout << "K" << dis[i] << endl;
		}
		else cout << "?\n";
	}
}

signed main() {

	GOOD_LUCK

	int tests=1;
	// cin >> tests;
	for (int i=1; i <= tests; i++) {
		_();
		cout << endl;
	}

	return 0;
}
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