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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#152459 | #6421. Degree of Spanning Tree | qzez# | WA | 138ms | 4384kb | C++14 | 2.4kb | 2023-08-28 09:28:33 | 2023-08-28 09:28:35 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using ll=long long;
template<typename T>
ostream& operator << (ostream &out,const vector<T>&x){
if(x.empty())return out<<"[]";
out<<'['<<x[0];
for(int len=x.size(),i=1;i<len;i++)out<<','<<x[i];
return out<<']';
}
template<typename T>
vector<T> ary(const T *a,int l,int r){
return vector<T>{a+l,a+1+r};
}
template<typename T>
void debug(T x){
cerr<<x<<'\n';
}
template<typename T,typename ...S>
void debug(T x,S ...y){
cerr<<x<<' ',debug(y...);
}
const int N=1e5+10;
int T,n,m;
vector<pair<int,int> >E,S,P,ans,res;
int fa[N];
int find(int x){
return fa[x]==x?x:fa[x]=find(fa[x]);
}
bool merge(int x,int y){
x=find(x),y=find(y);
if(x==y)return 0;
return fa[x]=y,1;
}
int deg[N];
void get(){
E.clear(),S.clear(),P.clear(),ans.clear(),res.clear();
scanf("%d%d",&n,&m);
iota(fa,fa+1+n,0);
fill(deg+1,deg+1+n,0);
for(int u,v;m--;){
scanf("%d%d",&u,&v);
P.push_back({u,v});
if(!merge(u,v))E.push_back({u,v});
else S.push_back({u,v}),deg[u]++,deg[v]++;
}
int rt=max_element(deg+1,deg+1+n)-deg;
iota(fa,fa+1+n,0);
for(auto e:S)if(e.first!=rt&&e.second!=rt){
merge(e.first,e.second);
}
// for(auto e:S)if(e.first==rt||e.second!=rt){
// merge(e.first,e.second);
// }
// debug(ary(deg,1,n));
for(auto e:E)if(e.first!=rt&&e.second!=rt){
if(deg[rt]*2<=n)break;
// debug(e.first,e.second);
if(merge(e.first,e.second))ans.push_back(e),deg[rt]--;
}
if(deg[rt]*2>n){
puts("No");return;
}
iota(fa,fa+1+n,0);
for(auto e:ans)merge(e.first,e.second);
for(auto e:P)if(merge(e.first,e.second))ans.push_back(e);
fill(deg+1,deg+1+n,0);
for(auto e:ans)deg[e.first]++,deg[e.second]++;
rt=max_element(deg+1,deg+1+n)-deg;
if(deg[rt]*2<=n){
// debug(1);
puts("Yes");
for(auto e:ans)printf("%d %d\n",e.first,e.second);
}else{
// debug(ary(deg,1,n));
iota(fa,fa+1+n,0);
for(auto e:ans)if(e.first!=rt&&e.second!=rt){
merge(e.first,e.second);
}
int u=0,v=0;
for(auto e:P)if(deg[e.first]*2+1<n&°[e.second]*2+1<n){
tie(u,v)=e;break;
}
// debug(u,v);
if(!u){
puts("No");
}else{
iota(fa,fa+1+n,0);
merge(u,v);
res.push_back({u,v});
for(auto e:ans){
if(merge(e.first,e.second))res.push_back(e);
}
puts("Yes");
for(auto e:res)printf("%d %d\n",e.first,e.second);
}
}
}
int main(){
for(scanf("%d",&T);T--;)get();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3908kb
input:
2 6 9 1 2 1 3 1 4 2 3 2 4 3 4 4 5 4 6 4 6 3 4 1 3 2 3 3 3 1 2
output:
Yes 1 2 1 3 1 4 4 5 4 6 No
result:
ok 2 cases
Test #2:
score: -100
Wrong Answer
time: 138ms
memory: 4384kb
input:
11140 10 15 9 6 5 7 6 5 2 3 7 5 7 5 3 10 9 7 5 5 9 1 7 5 2 8 7 5 4 3 6 2 9 19 3 7 3 9 2 8 2 8 3 6 5 1 1 8 8 9 8 3 4 8 5 5 3 1 4 3 1 3 8 6 1 3 7 4 4 3 8 8 12 20 10 2 5 5 2 4 3 3 3 3 5 11 9 2 5 5 7 12 11 3 3 3 3 5 5 3 3 1 4 6 7 11 6 8 4 5 6 12 6 5 8 18 4 2 4 3 2 4 2 4 4 3 4 8 2 2 6 7 2 4 6 2 1 4 8 7 4...
output:
Yes 9 6 5 7 6 5 2 3 3 10 9 1 2 8 4 3 6 2 Yes 3 7 3 9 2 8 3 6 5 1 1 8 8 9 4 8 Yes 10 2 2 4 5 11 9 2 7 12 11 3 3 1 4 6 7 11 6 8 4 5 Yes 4 2 4 3 4 8 6 7 6 2 1 4 7 5 Yes 6 5 5 7 5 9 4 3 2 9 2 3 8 7 5 1 Yes 10 2 2 6 3 2 1 9 8 10 4 6 6 1 2 5 1 7 Yes 5 7 5 4 7 1 2 6 6 7 1 3 Yes 12 3 1 13 7 8 8 2 10 6 1 6 1...
result:
wrong answer case 99, participant's output is not a tree