Submission #1121107

#TimeUsernameProblemLanguageResultExecution timeMemory
1121107OmarAlimammadzadeKOVANICE (COI15_kovanice)C++14
0 / 100
159 ms26184 KiB
// author - alimammadzade

#include <bits/stdc++.h>
using namespace std;

const int N = 3e5 + 1;
vector<int> g[N][2], Kn;
int p[N], res[N], out[N], n, m, k;
bool vis[N];

int _find(int u) {
    return (p[u] < 0 ? u : p[u] = _find(p[u]));
}

void _union(int u, int v) {
    u = _find(u), v = _find(v);
    if (u == v) return;
    if (p[u] > p[v]) swap(u, v);
    p[u] += p[v]; p[v] = u;
}

void dfs1(int u) {
    vis[u] = 1;
    for (int v : g[u][0])
        if (!vis[v]) {
            dfs1(v);
            out[u] = max(out[u], out[v] + 1);
        }
}

void dfs2(int u) {
    vis[u] = 1;
    res[u] = out[u];
    for (int v : g[u][0])
        if (!vis[v] && out[v] == out[u] - 1)
            dfs2(v);
}

signed main() {
    cin.tie(nullptr)->sync_with_stdio(false);
    // system("cls"), freopen("in.txt", "r", stdin);
    fill(p, p + N, -1);
    fill(out, out + N, 1);
    cin >> n >> m >> k;
    while (k--) {
        int u, v;
        char c;
        cin >> u >> c >> v;
        if (c == '=') _union(u, v);
        else if (c == '>') g[_find(u)][0].push_back(_find(v)), g[_find(v)][1].push_back(_find(u));
        else g[_find(v)][0].push_back(_find(u)), g[_find(u)][1].push_back(_find(v));
    }
    // for (int i = 1; i <= m; i++) cout << _find(i) << ' ';
    // cout << '\n';
    for (int i = 1; i <= m; i++)
        if (i == _find(i) && g[i][1].empty()) {
            if (!vis[i]) dfs1(i);
            if (out[i] == n) Kn.push_back(i);
        }
    fill(vis, vis + N, false);
    for (int i : Kn)
        dfs2(i);
    for (int i = 1; i <= m; i++)
        if (res[_find(i)]) cout << 'K' << res[_find(i)] << '\n';
        else cout << "?\n";
}
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