이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...)
#endif
using pii=array<int,2>;
const int N=200005;
int n,m,b[N],t[N];
vector<int> g[N],up[N],l[N];
bool vis[N];
vector<int> V,e;
bool ok=true,isCyc;
int outcnt;
vector<pii> ans;
vector<vector<int>> cycles;
void fail(){
cout<<"-1\n";
exit(0);
}
void upd(int i){
vector<int> nl;
for(int c: l[i]) if(b[c]==i||t[c]==i) nl.push_back(c);
sort(nl.begin(),nl.end());
nl.resize(unique(nl.begin(),nl.end())-nl.begin());
for(int c: l[i]) if(b[c]==t[c]) nl.push_back(c);
l[i]=nl;
up[i].clear();
for(int c: l[i]) if(b[c]==i&&t[c]) up[i].push_back(t[c]);
g[i].clear();
for(int c: l[i]) if(b[c]&&t[c]){
if(b[c]!=i) g[i].push_back(b[c]);
if(t[c]!=i) g[i].push_back(t[c]);
}
}
void Do(int x,int y){
assert(b[x]);
if(t[x]){
assert(!b[y]||t[x]==b[y]);
if(!b[y]) b[y]=t[x];
else t[y]=t[x];
t[x]=0;
} else{
assert(!b[y]||b[x]==b[y]);
if(!b[y]) b[y]=b[x];
else t[y]=b[x];
b[x]=0;
}
if(b[x]) upd(b[x]);
if(t[x]) upd(t[x]);
if(b[y]) upd(b[y]);
if(t[y]) upd(t[y]);
ans.push_back({x,y});
}
bool chk(int i){
int x=l[i][0],y=l[i][1];
if(!t[x]&&!t[y]){
return true;
} else if(!!t[x]+!!t[y]==1){
if(t[x]) swap(x,y);
if(i==t[y]){
return true;
}
}
return false;
}
void dfs(int u){
V.push_back(u);
vis[u]=1;
isCyc&=g[u].size()==2;
if(up[u].size()==2) outcnt++;
for(int v: g[u]) if(!vis[v]) dfs(v);
}
int findDown(int i){
if(b[l[i][0]]==i) return l[i][0];
return l[i][1];
}
int findUp(int i){
if(t[l[i][0]]==i) return l[i][0];
return l[i][1];
}
void solvePath(){
if(e.empty()) fail();
int s=0;
for(int u: V) if(g[u].size()==1) s=u;
for(int u: V) vis[u]=0;
V.clear();
dfs(s);
assert(up[s].size()==1);
for(int s=0;s<(int)V.size();){
int e1=s,e2=0;
while(up[V[e1]].size()==1) e1++;
e2=e1+1;
while(e2+1<(int)V.size()&&up[V[e2]].size()==1) e2++;
int x=l[V[e1]][0],y=l[V[e1]][1];
Do(x,e[0]);
Do(y,e[0]);
for(int i=e1-1;i>s;i--) Do(findUp(V[i]),findDown(V[i]));
int x1=l[V[s]][0],y1=l[V[s]][1];
Do(x1,y1);
e[0]=x1;
for(int i=e1+1;i<e2;i++) Do(findUp(V[i]),findDown(V[i]));
if(e2==(int)V.size()-1) break;
s=e2;
}
int i=V.back(),x=l[i][0],y=l[i][1];
Do(x,y);
e.push_back(x);
}
void solveCycle(){
if(!outcnt){
if(e.empty()) fail();
int s=V[0],x=b[findUp(s)];
V.clear();
while(x!=s){
V.push_back(x);
x=b[findUp(x)];
}
x=findUp(s);
Do(x,e[0]);
for(int u: V) Do(findUp(u),findDown(u));
Do(e[0],findDown(s));
return;
}
if(outcnt==1){
if(e.empty()) fail();
int s=0,t=0;
for(int u: V){
if(up[u].size()==0) s=u;
if(up[u].size()==2) t=u;
}
int x=l[s][0],y=l[s][1];
Do(x,e[0]);
Do(y,e[0]);
for(int i=b[x],j;i!=t;i=j){
j=b[findUp(i)];
Do(findUp(i),findDown(i));
}
for(int i=b[y],j;i!=t;i=j){
j=b[findUp(i)];
Do(findUp(i),findDown(i));
}
x=l[t][0],y=l[t][1];
Do(x,y);
e[0]=x;
return;
}
if(e.size()<=1) fail();
int s=0;
for(int u: V) if(up[u].size()==0) s=u;
int emp=e.back();
e.pop_back();
int x=l[s][0],y=l[s][1];
Do(x,emp);
Do(y,emp);
int i;
for(int i=b[x],j;up[i].size()!=1;i=j){
j=b[findUp(i)];
Do(findUp(i),findDown(i));
}
for(int i=b[y],j;up[i].size()!=1;i=j){
j=b[findUp(i)];
Do(findUp(i),findDown(i));
}
for(int u: V){
vis[u]=0;
if(l[u][0]!=l[u][1]) s=u;
}
V.clear();
dfs(s);
solvePath();
}
int main(){
//freopen("input.txt","r",stdin);
//freopen("output.txt","w",stdout);
ios::sync_with_stdio(false); cin.tie(0);
cin>>n>>m;
for(int i=1;i<=m;i++){
cin>>b[i]>>t[i];
if(b[i]!=t[i]) ok=false;
if(b[i]){
l[b[i]].push_back(i);
}
if(t[i]){
l[t[i]].push_back(i);
if(b[i]!=t[i]){
up[b[i]].push_back(t[i]);
g[b[i]].push_back(t[i]);
g[t[i]].push_back(b[i]);
}
}
}
if(ok){
cout<<"0\n";
return 0;
}
if(n==m) fail();
for(int i=1;i<=m;i++) if(!b[i]) e.push_back(i);
queue<int> que;
for(int i=1;i<=n;i++){
int x=l[i][0],y=l[i][1];
if(x==y){
vis[i]=1;
continue;
}
if(chk(i)){
vis[i]=1;
que.push(i);
}
}
while(que.size()){
int i=que.front(); que.pop();
int x=l[i][0],y=l[i][1];
if(!t[x]&&!t[y]){
Do(y,x);
t[x]=i;
b[y]=0;
e.push_back(y);
} else{
if(t[x]) swap(x,y);
Do(y,x);
t[x]=i;
t[y]=0;
if(!vis[b[y]]&&chk(b[y])){
vis[b[y]]=1;
que.push(b[y]);
}
}
}
for(int s=1;s<=n;s++) if(!vis[s]){
V.clear();
isCyc=true;
outcnt=0;
dfs(s);
if(!isCyc) solvePath();
else cycles.push_back(V);
}
for(vector<int> cyc: cycles){
for(int u: cyc) vis[u]=0;
V.clear();
isCyc=true;
outcnt=0;
dfs(cyc[0]);
solveCycle();
}
cout<<ans.size()<<"\n";
for(auto [x,y]: ans) cout<<x<<" "<<y<<"\n";
return 0;
}
컴파일 시 표준 에러 (stderr) 메시지
Main.cpp: In function 'void solveCycle()':
Main.cpp:157:6: warning: unused variable 'i' [-Wunused-variable]
157 | int i;
| ^
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