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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#785390 | #6421. Degree of Spanning Tree | yanshanjiahong | WA | 70ms | 19296kb | C++20 | 2.5kb | 2024-11-26 17:45:49 | 2024-11-26 17:45:50 |
Judging History
answer
#include<bits/stdc++.h>
#define rep(i,j,k) for(int i=j;i<=k;i++)
#define repp(i,j,k) for(int i=j;i>=k;i--)
#define ls(x) (x<<1)
#define rs(x) ((x<<1)|1)
#define mp make_pair
#define sec second
#define fir first
#define pii pair<int,int>
#define lowbit(i) i&-i
#define int long long
using namespace std;
typedef long long ll;
const int N=2e5+5,M=6,S=(1<<18)+5,inf=(ll)1e18+7,mo=998244353;
const double eps=1e-8;
void read(int &p){
int x=0,w=1;
char ch=0;
while(!isdigit(ch)){
if(ch=='-')w=-1;
ch=getchar();
}
while(isdigit(ch)){
x=(x<<1)+(x<<3)+ch-'0';
ch=getchar();
}
p=x*w;
}
int T;
int n,m;
vector<pii>e[N];
bool ont[N];
int bel[N];
pii eg[N];
struct bcj{
int fa[N];
void init(){
rep(i,1,n)
fa[i]=i;
}
int find(int x){
if(x==fa[x])return x;
return fa[x]=find(fa[x]);
}
void merge(int x,int y){
x=find(x),y=find(y);
if(x==y)return;
fa[x]=y;
}
}B;
int deg[N];
bool vis[N];
void dfs1(int x,int f){
vis[x]=1;
for(auto j:e[x]){
if(vis[j.fir])continue;
ont[j.sec]=1,deg[x]++,deg[j.fir]++;
dfs1(j.fir,x);
}
}
void print(){
puts("Yes");
rep(i,1,m)
if(ont[i])printf("%lld %lld\n",eg[i].fir,eg[i].sec);
}
void dfs2(int x,int f,int bp){
bel[x]=bp;
for(auto j:e[x]){
if(!ont[j.sec])continue;
if(j.fir==f)continue;
dfs2(j.fir,x,bp);
}
}
int eid[N];
void solve(){
read(n),read(m);
rep(i,1,n)
e[i].clear(),deg[i]=0,vis[i]=0;
rep(i,1,m){
int x,y;
read(x),read(y),ont[i]=0;
e[x].push_back(mp(y,i)),e[y].push_back(mp(x,i)),eg[i]=mp(x,y);
}
dfs1(1,0);
int rt=max_element(deg+1,deg+n+1)-deg;
if(deg[rt]<=n/2){
print();
return;
}
B.init();
for(auto j:e[rt]){
if(!ont[j.sec])continue;
dfs2(j.fir,rt,j.fir),eid[j.fir]=j.sec;
}
rep(i,1,m){
if(eg[i].fir==rt||eg[i].sec==rt)continue;
if(ont[i])continue;
int x=B.find(eg[i].fir),y=B.find(eg[i].sec);
if(x==y)continue;
if(deg[x]<deg[y])swap(x,y);
deg[x]--;
if(deg[eg[i].fir]+1>n/2||deg[eg[i].sec]+1>n/2){
deg[x]++;
continue;
}
deg[eg[i].fir]++,deg[eg[i].sec]++,deg[rt]--;
ont[i]=1,ont[eid[x]]=0,B.merge(x,y);
}
if(deg[rt]>n/2)puts("No");
else print();
}
signed main(){
read(T);
while(T--)
solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 12024kb
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 2 3 3 4 4 5 4 6 No
result:
ok 2 cases
Test #2:
score: -100
Wrong Answer
time: 70ms
memory: 19296kb
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 7 4 Yes 10 2 2 4 5 11 9 2 7 12 11 3 3 1 4 6 6 8 4 5 6 12 Yes 4 2 6 7 6 2 1 4 8 7 7 5 3 5 Yes 6 5 4 3 2 9 2 3 8 7 9 7 6 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 3 4 2 3 Yes 12 3 1 13 7 8 10 6 9 10 5 4 ...
result:
wrong answer case 19, participant's output is not a tree