# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
96859 | Retro3014 | Pipes (CEOI15_pipes) | C++17 | 1024 ms | 4728 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <stdio.h>
#include <vector>
#include <algorithm>
#include <iostream>
using namespace std;
#define MAX_N 30000
#define LN 17
typedef long long ll;
typedef pair<int, int> pii;
int N, M;
vector<pii > gp[MAX_N+1];
int num[MAX_N+1];
int p[MAX_N+1][LN];
int up[MAX_N+1];
int lv[MAX_N+1];
bool vst[MAX_N+1];
int find_g(int x){
for(int i=LN-1; i>=0; i--){
if(p[x][i]!=0){
x = p[x][i];
}
}
return x;
}
pii edge[MAX_N+1];
bool chk[MAX_N+1];
int sz = 0;
int lca(int x, int y){
for(int i=LN-1; i>=0; i--){
//cout<<i<<' '<<x<<' '<<y<<endl;
if(lv[p[x][i]]>=lv[y]){
x = p[x][i];
}
if(lv[p[y][i]]>=lv[x]){
y = p[y][i];
}
}
for(int i=LN-1; i>=0; i--){
if(p[x][i]!=p[y][i]){
x = p[x][i]; y = p[y][i];
}
}
if(x!=y) x = p[x][0];
return x;
}
void dfs(int x){
for(int i=0; i<gp[x].size(); i++){
if(gp[x][i].first==p[x][0]) continue;
dfs(gp[x][i].first);
if(up[gp[x][i].first]<=lv[x]) chk[gp[x][i].second] = false;
up[x] = min(up[x], up[gp[x][i].first]);
}
}
void init_graph(int x){
up[x] = lv[x];
for(int i=1; i<LN; i++) p[x][i] = p[p[x][i-1]][i-1];
for(int i=0; i<gp[x].size(); i++){
if(gp[x][i].first==p[x][0]) continue;
lv[gp[x][i].first] = lv[x]+1;
p[gp[x][i].first][0] = x;
init_graph(gp[x][i].first);
}
}
int main(){
scanf("%d%d", &N, &M);
for(int i=1; i<=N; i++) num[i] = 1;
int a, b, k, tmp, t;
int A, B;
for(int i=1; i<=N; i++){
lv[i] = up[i] = 1;
}
while(M--){
scanf("%d%d", &a, &b);
A = find_g(a); B = find_g(b);
if(A==B){
//cout<<'*'<<a<<' '<<b<<endl;
k = lca(a, b);
//cout<<k<<endl;
up[a] = min(up[a], lv[k]);
up[b] = min(up[b], lv[k]);
}else{
if(num[A]>=num[B]){
tmp = a; a = b; b = tmp;
tmp = A; A = B; B = tmp;
}
t = num[A];
dfs(A);
for(int i=1; i<LN; i++){
p[a][i] = 0;
}p[a][0] = b;
lv[a] = lv[b]+1;
//printf("%d %d\n", a, b);
gp[a].push_back({b, sz});
gp[b].push_back({a, sz});
init_graph(a);
edge[sz] = {a, b};
chk[sz] = true;
sz++;
num[B] += t;
}
}
for(int i=1; i<=N; i++){
int k = find_g(i);
if(!vst[k]){
vst[k] = true;
dfs(k);
}
}
for(int i=0; i<sz; i++){
if(chk[i]){
printf("%d %d\n", edge[i].first, edge[i].second);
}
}
return 0;
}
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