2024-07-12
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[Source quaestionis]
https://www.acwing.com/problem/content/3590/
[Titulus descriptionis]
Dato grapho indirecto omnesque margines in eo, utrum omnes vertices huius graphi connectantur.
Input forma】
Input plures summas notitiarum continet.
Prima linea cuiusvis copiae notitiarum duos integros n et m continet, numerum punctorum et margines graphi indirectae repraesentans.
Sequuntur m lineae, quaelibet linea duos integros x, y continet, indicans punctum x et punctum y esse connexum.
Puncta numerantur ab 1 ad n.
Non potest esse in picturaduplici oreetAuto-loop。
[Output format]
Singulae notae outputs unam lineam et unum exitum.
data range】
Initus continet usque ad 10 mutatorias notitias.
1≤n≤1000;
1≤m≤5000;
1≤x,y≤n
Input sample】
4 3
1 2
2 3
3 2
3 2
1 2
2 3
Output sample】
NO
ETIAM'
Analysis Algorithmorum
The "Et collectionem quaerere"Ad codicem exsequendam singula, quaeso vide:https://blog.csdn.net/hnjzsyjyj/article/details/126455868
Principium usurae dfs ad graphum connexum determinandum in hac quaestione positum est in "dfs oportet omnia puncta percurrere graphi connexa"Si punctum non transigitur," significat non connexum.
[Algorithmus code: dfs+nexus stella deinceps]
dfs algorithmus templatehttps://blog.csdn.net/hnjzsyjyj/article/details/118736059
● For details on chain forward astra, amabo see:https://blog.csdn.net/hnjzsyjyj/article/details/139369904
- #include <bits/stdc++.h>
- using namespace std;
-
- const int N=1e3+5;
- const int M=5e3+5;
- int e[M<<1],ne[M<<1],h[N],idx;
- bool st[N];
- int n,m;
-
- void add(int a,int b) {
- e[idx]=b,ne[idx]=h[a],h[a]=idx++;
- }
-
- void dfs(int u) {
- st[u]=1;
- for(int i=h[u]; i!=-1; i=ne[i]) {
- int j=e[i];
- if(!st[j]) dfs(j);
- }
- }
-
- int main() {
- while(cin>>n>>m) {
- memset(st,false,sizeof st);
- memset(h,-1,sizeof h);
- idx=0;
- while(m--) {
- int a,b;
- cin>>a>>b;
- add(a,b),add(b,a);
- }
-
- dfs(1);
-
- bool flag=true;
- for(int i=1; i<=n; i++)
- if(!st[i]) {
- flag=false;
- break;
- }
-
- if(flag) cout<<"YES"<<endl;
- else cout<<"NO"<<endl;
- }
-
- return 0;
- }
-
-
- /*
- in:
- 4 3
- 1 2
- 2 3
- 3 2
- 3 2
- 1 2
- 2 3
- out:
- NO
- YES
- */
[Algorithm code: dfs+adiacentia matrix]
dfs algorithmus templatehttps://blog.csdn.net/hnjzsyjyj/article/details/118736059
● Adiacentia matrix exsecutionem graphi indirectam indirectae:https://blog.csdn.net/hnjzsyjyj/article/details/116245897
- #include <bits/stdc++.h>
- using namespace std;
-
- const int N=1010;
- int g[N][N];
- bool st[N];
- int n,m;
-
- void dfs(int u) {
- st[u]=true;
- for(int i=1; i<=n; i++)
- if(!st[i] && g[u][i]!=0) dfs(i);
- }
-
- int main() {
- while(cin>>n>>m) {
- memset(g,0,sizeof g);
- memset(st,false,sizeof st);
- int x,y;
- while(m--) {
- cin>>x>>y;
- g[x][y]=g[y][x]=1;
- }
- dfs(1);
- int i;
- for(i=1; i<=n; i++) {
- if(!st[i]) break;
- }
- if(i<=n) cout<<"NO"<<endl;
- else cout<<"YES"<<endl;
- }
- return 0;
- }
-
- /*
- in:
- 4 3
- 1 2
- 2 3
- 3 2
- 3 2
- 1 2
- 2 3
- out:
- NO
- YES
- */
references】
https://www.acwing.com/solution/content/124095/
https://blog.csdn.net/hnjzsyjyj/article/details/118736059
https://blog.csdn.net/hnjzsyjyj/article/details/139369904