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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#208595 | #6421. Degree of Spanning Tree | qzhwlzy | TL | 758ms | 14116kb | C++14 | 1.7kb | 2023-10-09 19:11:15 | 2023-10-09 19:11:15 |
Judging History
answer
#include<iostream>
#include<cstdio>
#define maxn 300005
#define maxm 600005
using namespace std;
int T,n,m,x[maxm],y[maxm],f[maxn],fa[maxn],deg[maxn],pos; bool vis[maxm],rt[maxn];
struct{int to,nex;}a[maxn]; int head[maxn],cnt=0;
void add(int from,int to){a[++cnt].to=to; a[cnt].nex=head[from]; head[from]=cnt;}
int getfa(int p){return f[p]==p?p:getfa(f[p]);}
void dfs(int p,int fat){
for(int i=head[p];i;i=a[i].nex) if(a[i].to!=fat)
{if(p!=pos){int r1=getfa(p),r2=getfa(a[i].to); f[r2]=r1;}else rt[a[i].to]=1; dfs(a[i].to,p);}
}
int main(){
scanf("%d",&T); while(T--){
scanf("%d%d",&n,&m); for(int i=1;i<=n;i++) head[i]=deg[i]=0,f[i]=i; cnt=0;
for(int i=1;i<=m;i++) scanf("%d%d",&x[i],&y[i]),vis[i]=0;
for(int i=1;i<=m;i++){
int r1=getfa(x[i]),r2=getfa(y[i]); if(r1==r2) continue;
f[r2]=r1; add(x[i],y[i]); add(y[i],x[i]); vis[i]=1; deg[x[i]]++; deg[y[i]]++;
}
pos=-1; for(int i=1;i<=n;i++){
if(deg[i]>n/2){pos=i; break;}
if(i==n){printf("Yes\n"); for(int i=1;i<=m;i++) if(vis[i]) printf("%d %d\n",x[i],y[i]);}
} if(pos==-1) continue; for(int i=1;i<=n;i++) f[i]=i; dfs(pos,-1);
for(int i=1;i<=m;i++) if(!vis[i]){
int r1=getfa(x[i]),r2=getfa(y[i]); if(r1!=r2&&r1!=pos&&r2!=pos){
deg[pos]--; deg[r1]--; deg[x[i]]++; deg[y[i]]++;
if(deg[x[i]]>n/2||deg[y[i]]>n/2){
deg[r1]++; deg[r2]--;
if(deg[x[i]]>n/2||deg[y[i]]>n/2){deg[pos]++; deg[r2]++; deg[x[i]]--; deg[y[i]]--; continue;}
f[r2]=r1; vis[i]=1; rt[r2]=0; continue;
}
f[r1]=r2; vis[i]=1; rt[r1]=0;
}
} if(deg[pos]>n/2){printf("No\n"); continue;} printf("Yes\n"); int cnt=0;
for(int i=1;i<=m&&cnt<n;i++) if(vis[i]&&!((x[i]==pos&&!rt[y[i]])||(y[i]==pos&&!rt[x[i]])))
printf("%d %d\n",x[i],y[i]),cnt++;
} return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 2ms
memory: 12128kb
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: 0
Accepted
time: 758ms
memory: 14116kb
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:
ok 11140 cases
Test #3:
score: -100
Time Limit Exceeded
input:
5 100000 197799 37555 22723 91160 32701 6451 4416 43186 26432 9750 82955 28292 33907 91534 78442 17771 67061 40351 28116 21494 23114 34672 66640 72636 95093 13033 6538 53698 87837 79541 71230 53985 63500 84753 5378 67971 56748 90951 20169 4465 97293 18331 53564 41043 95738 48579 96439 90865 7526 391...