이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include "simurgh.h"
#include <bits/stdc++.h>
using namespace std;
#define ll int
#define ff first
#define ss second
#define ln "\n"
#define ld long double
vector<pair<ll, ll>> e;
vector<vector<ll>> A;
// Slow version
vector<ll> checka;
void dfs(ll u, vector<bool> &vis, ll mask){
vis[u]=1;
for (auto i:A[u]){
if (mask&(1<<i)){
ll v = e[i].ff^e[i].ss^u;
if (vis[v]) continue;
dfs(v, vis, mask);
}
}
}
bool check(ll mask, ll n, ll m){
checka.clear();
vector<bool> vis(n);
dfs(0, vis, mask);
for (ll i=0; i<n; i++) if (!vis[i]) return 0;
for (ll i=0; i<m; i++){
if (mask&(1<<i)) checka.push_back(i);
}
return 1;
}
vector<int> find_roads_slow(int _n, vector<int> u, vector<int> v) {
int n=_n, m=u.size();
e.resize(m); A.clear(); A.resize(n);
for (ll i=0; i<m; i++){
e[i]={u[i], v[i]};
A[u[i]].push_back(i); A[v[i]].push_back(i);
}
vector<ll> ans;
for (ll i=0; i<(1ll<<m); i++){
if (__builtin_popcount(i)==n-1){
if (check(i, n, m)) {
ll ret = count_common_roads(checka);
if (ret==n-1){
ans=checka; break;
}
}
}
}
return ans;
}
ll n, m;
vector<bool> isBridge;
ll findBridge(ll u, ll p, vector<ll> &tin, vector<ll> &tmin, ll &timer){
tin[u]=tmin[u]=timer++;
ll cnt=0;
for (auto i:A[u]){
ll v = e[i].ff^e[i].ss^u;
if (v==p) continue;
if (tin[v]==-1) cnt+=findBridge(v, u, tin, tmin, timer);
tmin[u]=min(tmin[u], tmin[v]);
if (tin[u]<tmin[v]){
cnt++;
isBridge[i]=1;
}
}
return cnt;
}
vector<bool> noroyal;
void findST(ll u, vector<bool> &vis, vector<ll> &edges){
vis[u]=1;
for (auto i:A[u]){
if (noroyal[i]) continue;
ll v = e[i].ff^e[i].ss^u;
if (vis[v]) continue;
edges.push_back(i);
findST(v, vis, edges);
}
}
struct DSU{
vector<ll> p;
ll sz;
DSU(ll N){
sz=N;
p.resize(N+1, -1);
}
ll get(ll x){
return (p[x]==-1?x:p[x]=get(p[x]));
}
bool unite(ll u, ll v){
u=get(u); v=get(v);
if (u==v) return 0;
p[u]=v;
return 1;
}
};
ll seek(vector<ll> incl, ll excl, ll inicnt){
DSU tr(n);
vector<ll> checkarr;
for (auto i:incl){
if (i==excl) continue;
checkarr.push_back(i);
tr.unite(e[i].ff, e[i].ss);
}
for (ll i=0; i<m; i++){
if (i==excl) continue;
if (tr.get(e[i].ff)!=tr.get(e[i].ss)){
checkarr.push_back(i);
ll ret=count_common_roads(checkarr);
if (ret>inicnt) return i;
checkarr.pop_back();
}
}
return excl;
}
vector<int> find_roads(int _n, vector<int> u, vector<int> v) {
n=_n; m=u.size();
e.clear(); e.resize(m); A.clear(); A.resize(n);
for (ll i=0; i<m; i++){
e[i]={u[i], v[i]};
A[u[i]].push_back(i); A[v[i]].push_back(i);
}
isBridge.clear(); isBridge.resize(m);
vector<ll> tin(n, -1), tmin(n, -1); ll timer=0;
ll bcnt=findBridge(0, 0, tin, tmin, timer);
vector<ll> ans;
// assert(bcnt);
// cout << bcnt << ln;
if (bcnt==n-1){
for (ll i=0; i<m; i++) ans.push_back(i);
return ans;
}
noroyal.clear(); noroyal.resize(m, 0);
vector<bool> vis(n);
vector<ll> edges;
ll ret;
while (true){
edges.clear(); vis.assign(n, 0);
findST(0, vis, edges);
ret = count_common_roads(edges);
if (ret>bcnt) break;
else{
cout << "HAPPEN" << ln;
ll count=0;
for (auto i:edges){
if (!isBridge[i]) {noroyal[i]=1;count++;}
}
assert(count);
}
}
// ret = count_common_roads(edges);
assert(ret);
for (auto i:edges){
if (isBridge[i]) {
ans.push_back(i);
}else{
ans.push_back(seek(edges, i, ret));
}
}
// cout << "CAME" << ln;
return ans;
}
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