//HAPPY BIRTHDAY!!!
#include <bits/stdc++.h>
#define push_back emplace_back
using namespace std;
typedef pair<int,int> ii;
struct UFDS{
int n;
int p[100005];
void init(int _n){
n = _n;
for(int i = 1;i <= n;i++) p[i] = i;
}
int find(int u){
if(p[u] == u) return u;
else{
p[u] = find(p[u]);
return p[u];
}
}
void unionSet(int u, int P){
u = find(u); P = find(P);
if(u == P) return;
p[u] = P;
}
} tree, bridge;
vector<int> nodes[100005];
int p[100005];
int depth[100005];
vector<ii> possible;
void reroot(int u){
vector<int> order;
while(u != 0){
order.push_back(u);
u = p[u];
}
int sz = order.size(); order.push_back(0);
for(int i = 0;i < sz;i++){
p[order[i+1]] = order[i];
}
order.clear();
}
vector<int> adj[100005];
void dfs(int u){
for(int v : adj[u]){
depth[v] = depth[u] + 1;
dfs(v);
}
}
void redepth(int u){
vector<int> V = nodes[u];
for(int x : V){
if(p[x] != 0) adj[p[x]].push_back(x);
}
depth[u] = 0;
dfs(u);
for(int x : V){
adj[x].clear();
}
}
signed main(){
ios_base::sync_with_stdio(false); cin.tie(0);
int n, E; cin >> n >> E;
tree.init(n+2); bridge.init(n+2);
for(int i = 1;i <= n;i++) nodes[i].emplace_back(i);
while(E--){
int u, v; cin >> u >> v;
if(bridge.find(u) == bridge.find(v)) continue;
if(tree.find(u) == tree.find(v)){ ///bridge formed
vector<int> path;
while(u != v){
if(depth[u] > depth[v]) swap(u,v); ///v is deeper now
path.push_back(v);
v = p[v];
}
int P = u;
//cout << P << "\n";
for(int x : path){
p[x] = P;
p[x] = P;
depth[x] = depth[P]+1;
bridge.unionSet(x, P);
}
}
else{ ///connect two trees to 1 tree
int U = tree.find(u), V = tree.find(v);
if(nodes[U].size() > nodes[V].size()){
swap(U,V);
swap(u,v);
}
//tree.unionSet(U, V);
tree.p[U] = V;
reroot(u);
redepth(u);
p[u] = v;
while(!nodes[U].empty()){
int B = nodes[U].back();
depth[B] += depth[v] + 1;
nodes[V].emplace_back(B);
nodes[U].pop_back();
}
//cout << u << " " << v << ":\n";
//for(int i = 1;i <= n;i++) cout << p[i] << " ";
//cout << "\n";
//for(int i = 1;i <= n;i++) cout << depth[i] << " ";
//cout << "\n";
possible.push_back(ii(u,v));
}
}
for(ii e : possible){
if(bridge.find(e.first) != bridge.find(e.second)){
cout << e.first << " " << e.second << "\n";;
}
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
5120 KB |
Output is correct |
2 |
Correct |
7 ms |
4992 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
11 ms |
5376 KB |
Output is correct |
2 |
Incorrect |
13 ms |
5376 KB |
Wrong number of edges |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
112 ms |
5248 KB |
Output is correct |
2 |
Correct |
105 ms |
5368 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
167 ms |
5792 KB |
Output is correct |
2 |
Correct |
198 ms |
5880 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
293 ms |
6656 KB |
Output is correct |
2 |
Correct |
284 ms |
7156 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
417 ms |
10096 KB |
Output is correct |
2 |
Correct |
390 ms |
10604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
696 ms |
10640 KB |
Output is correct |
2 |
Correct |
641 ms |
11132 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
892 ms |
11796 KB |
Output is correct |
2 |
Correct |
832 ms |
12584 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1062 ms |
11756 KB |
Output is correct |
2 |
Correct |
1008 ms |
12444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1302 ms |
11396 KB |
Output is correct |
2 |
Correct |
1268 ms |
12204 KB |
Output is correct |