/*
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], visited[100001];
void dfs(int node, int root, int parent = -1) {
visited[node] = root;
prv[node] = parent;
for (int i : graph[node]) if (i != parent) {
if (prv[i]) {
if (visited[i] == root) {
vector<int> edges = {i};
int curr = node;
while (curr != i) {
edges.push_back(curr);
curr = prv[curr];
}
int m = edges.size();
for (int j = 0; j < m; j++) cout << u[edges[j]] << ' ';
exit(0);
}
} else dfs(i, root, 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 (!visited[i]) dfs(i, i);
cout << "no";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2636 KB |
Output is correct |
2 |
Correct |
2 ms |
2636 KB |
Output is correct |
3 |
Correct |
2 ms |
2636 KB |
Output is correct |
4 |
Correct |
2 ms |
2616 KB |
Output is correct |
5 |
Correct |
2 ms |
2636 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2636 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2736 KB |
Output is correct |
2 |
Correct |
2 ms |
2684 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
3 ms |
3020 KB |
Wrong adjacency |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
3276 KB |
Output is correct |
2 |
Execution timed out |
1121 ms |
528852 KB |
Time limit exceeded |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1131 ms |
529608 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1106 ms |
530816 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1115 ms |
547924 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1116 ms |
576864 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
107 ms |
12168 KB |
Execution killed with signal 11 |
2 |
Halted |
0 ms |
0 KB |
- |