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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#785043 | #6421. Degree of Spanning Tree | harlem | WA | 110ms | 8744kb | C++14 | 3.1kb | 2024-11-26 16:42:35 | 2024-11-26 16:42:36 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef __int128 i128;
typedef double db;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<int,ll> pil;
typedef pair<ll,int> pli;
template <typename Type>
using vec=vector<Type>;
template <typename Type>
using grheap=priority_queue<Type>;
template <typename Type>
using lrheap=priority_queue<Type,vector<Type>,greater<Type> >;
#define fir first
#define sec second
#define pub push_back
#define pob pop_back
#define puf push_front
#define pof pop_front
#define chmax(a,b) a=max(a,b)
#define chmin(a,b) a=min(a,b)
#define rep(i,x,y) for(int i=x;i<=y;i++)
#define per(i,x,y) for(int i=x;i>=y;i--)
const int inf=0x3f3f3f3f;
const ll INF=0x3f3f3f3f3f3f3f3f;
const int mod=1e9+7/*998244353*/;
const int N=1e5+5,M=2e5+5;
int n,m;
int u,v;
int rt;
int dg[N];
struct edge{
int a,b;
}es[M];
bool use[M];
int dte[N];
struct DSU{
int fa[N];
void init(int n){
rep(i,1,n)fa[i]=i;
}
int find(int x){
if(fa[x]!=x)fa[x]=find(fa[x]);
return fa[x];
}
void merge(int a,int b){
a=find(a);b=find(b);
fa[a]=b;
}
bool same(int a,int b){
return find(a)==find(b);
}
}dsu;
void outans(){
cout<<"Yes\n";
rep(k,1,m){
if(use[k])cout<<es[k].a<<" "<<es[k].b<<"\n";
}
}
vec<int> g[N];
bool vis[N];
void dfs(int now,int fa){
vis[now]=true;
dsu.merge(now,fa);
for(auto nxt:g[now]){
if(vis[nxt])continue;
dfs(nxt,fa);
}
}
void solve(){
cin>>n>>m;
rep(i,1,n)dg[i]=0;
rep(i,1,m){
cin>>u>>v;
use[i]=0;
es[i].a=u;es[i].b=v;
}
dsu.init(n);
rep(i,1,n)g[i].clear();
rep(i,1,m){
if(!dsu.same(es[i].a,es[i].b)){
dsu.merge(es[i].a,es[i].b);
use[i]=1;
dg[es[i].a]++;
dg[es[i].b]++;
}
}
rt=0;
rep(i,1,n){
if(dg[i]>n/2){
rt=i;
break;
}
}
if(!rt){
outans();
return;
}
rep(i,1,m){
if(es[i].a==rt)dte[es[i].b]=i;
if(es[i].b==rt)dte[es[i].a]=i;
}
rep(i,1,m){
if(use[i]){
g[es[i].a].pub(es[i].b);
g[es[i].b].pub(es[i].a);
}
}
dsu.init(n);
rep(i,1,n)vis[i]=false;
vis[rt]=true;
for(auto son:g[rt]){
dfs(son,son);
}
rep(i,1,m){
if(use[i])continue;
if(dsu.same(es[i].a,es[i].b))continue;
dg[es[i].a]++;dg[es[i].b]++;
if(dg[es[i].a]>n/2||dg[es[i].b]>n/2){
dg[es[i].a]--;dg[es[i].b]--;
continue;
}
use[i]=true;
dg[rt]--;
use[dte[dsu.find(es[i].a)]]=false;
dsu.merge(es[i].a,es[i].b);
if(dg[rt]<=n/2)break;
}
if(dg[rt]<=n/2)outans();
else cout<<"No\n";
}
int main(){
ios::sync_with_stdio(false);
cin.tie(0);cout.tie(0);
int t;cin>>t;
while(t--)solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 7756kb
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: 110ms
memory: 8744kb
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 19, paticipant's deg[2] = 3 is too large