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Submission #393139

# Submission time Handle Problem Language Result Execution time Memory
393139 2021-04-22T19:51:23 Z dolphingarlic Potemkin cycle (CEOI15_indcyc) C++14
10 / 100
 1000 ms 580764 KB 
/*
CEOI 2016 Potemkin Cycle
- Let each edge (u, v) represent a node (uv) in graph H
- There is an edge between (uv) and (vw) in H iff (uw) doesn't exist
    - This means that there are no cycles of length 3 in H
    - We can construct H in O(NR) time
- An answer exists iff a cycle exists in H; run DFS to find a cycle
*/

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

int u[200001], v[200001], adj[1001][1001];
vector<int> graph[100001];
int prv[100001];

void dfs(int node, int parent = -1) {
    prv[node] = parent;
    for (int i : graph[node]) if (i != parent) {
        if (prv[i]) {
            vector<int> edges;
            int curr = node;
            while (curr != prv[i]) {
                edges.push_back(curr);
                curr = prv[curr];
            }
            int m = edges.size();
            for (int j = 0; j < m; j++) {
                if (u[edges[j]] != u[edges[(j + 1) % m]] &&
                    u[edges[j]] != v[edges[(j + 1) % m]])
                    cout << u[edges[j]] << ' ';
                else
                    cout << v[edges[j]] << ' ';
            }
            exit(0);
        } else dfs(i, node);
    }
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    int n, r;
    cin >> n >> r;
    for (int i = 1; i <= r; i++) {
        cin >> u[i] >> v[i];
        u[i + r] = v[i], v[i + r] = u[i];
        adj[u[i]][v[i]] = i, adj[v[i]][u[i]] = i + r;
    }

    for (int i = 1; i <= 2 * r; i++) {
        for (int j = 1; j <= n; j++) if (j != u[i]) {
            if (adj[v[i]][j] && !adj[u[i]][j])
                graph[i].push_back(adj[v[i]][j]);
        }
    }

    for (int i = 1; i <= 2 * r; i++) if (!prv[i]) dfs(i);
    cout << "no";
    return 0;
}

Subtask #1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Incorrect 2 ms 2636 KB Wrong answer on graph without induced cycle
3 Halted 0 ms 0 KB -

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct

Subtask #3
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Incorrect 2 ms 2636 KB Wrong answer on graph without induced cycle

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 2 ms 3020 KB Wrong adjacency

Subtask #5
0 / 10.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1090 ms 528688 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 10.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1119 ms 529580 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #7
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 5324 KB Too short sequence
2 Incorrect 12 ms 5436 KB Wrong answer on graph without induced cycle

Subtask #8
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 324 ms 22212 KB Wrong adjacency
2 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 165 ms 51288 KB Too short sequence
2 Execution timed out 1116 ms 580764 KB Time limit exceeded

Subtask #10
0 / 10.0

# Verdict Execution time Memory Grader output
1 Runtime error 117 ms 12176 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -