제출 #1355245

#제출 시각아이디문제언어결과실행 시간메모리
1355245bimmerKOVANICE (COI15_kovanice)C++20
100 / 100
83 ms33060 KiB
#include <bits/stdc++.h>
#ifdef LOCAL
#include "algo/debug.h"
#endif
using namespace std;
#define int long long 
#define endl '\n'
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()

const int sz = 3e5 + 5, inf = 1e9, mod = 998244353;

vector<int> g[sz], order;
int par[sz], dp1[sz], dp2[sz];
bool used[sz];

int find(int a){
    if (par[a] < 0) return a;
    return par[a] = find(par[a]);
}

void unite(int a, int b){
    a = find(a);
    b = find(b);
    if (a == b) return;
    if (par[a] > par[b]) swap(a, b);
    par[a] += par[b];
    par[b] = a;
}

void toposort(int node){
    used[node] = 1;
    for (int to : g[node]) {
        if (!used[to]) {
            toposort(to);
        }
    }
    order.push_back(node);
}

void _(){ 
    int n, m, v;
    cin >> n >> m >> v;
    for (int i = 1; i <= m; i++) par[i] = -1;
    vector<pair<int, int>> edge;
    for (int i = 1; i <= v; i++) {
        int a, b;
        char c;
        cin >> a >> c >> b;
        if (c == '<') {
            edge.push_back({a, b});
        } else {
            unite(a, b);
        }
    }
    for (auto [a, b] : edge) {
        a = find(a);
        b = find(b);
        if (a != b) {
            g[a].push_back(b);
        }
    }
    for (int i = 1; i <= m; i++) {
        if (!used[i]) {
            toposort(i);
        }
    }
    for (auto x : order) {
        for (auto to : g[x]) {
            dp2[x] = max(dp2[x], dp2[to] + 1);
        }
    }
    reverse(all(order));
    for (auto x : order) {
        for (auto to : g[x]) {
            dp1[to] = max(dp1[to], dp1[x] + 1);
        }
    }
    for (int i = 1; i <= m; i++) {
        int r = find(i);
        if (dp1[r] + dp2[r] + 1 == n) {
            cout << "K" << dp1[r] + 1 << endl;
        } else cout << "?\n";
    }
}

signed main(){
    cin.tie(nullptr)->sync_with_stdio(0);
    int T = 1;
    // cin >> T;
    while (T--) _();
}
// By Riyad
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