Submission #1121124

#TimeUsernameProblemLanguageResultExecution timeMemory
1121124OmarAlimammadzadeKOVANICE (COI15_kovanice)C++14
0 / 100
98 ms19528 KiB
// author - alimammadzade

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

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

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

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

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

void dfs2(int u) {
    if (res[u]) return;
    res[u] = out[u];
    for (int v : g[u])
        if (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;
        u = _find(u);
        v = _find(v);
        if (c == '=') _union(u, v);
        else if (c == '>') g[u].push_back(v), in[v]++;
        else g[v].push_back(u), in[u]++;
    }
    for (int i = 1; i <= m; i++)
        if (i == _find(i) && !in[i])
            dfs1(i);
    for (int i = 1; i <= m; i++)
        if (out[i] == n)
            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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