"Template" minimum spanning tree

Source: Internet
Author: User
Title Description

Title, give an undirected graph, find the minimum spanning tree, if the graph is not connected, then output ORZ input format input and output format :

The first line consists of two integers n, M,
Indicates that the graph has a total of n nodes and M-bar without edges. (n<=5000,m<=200000)
The next m line contains three integers of Xi, Yi, Zi,
Indicates that there is a non-Zi Edge junction XI, Yi output format for the length of the line:

The output contains a number, the sum of the lengths of the edges of the smallest spanning tree, and if the graph is not connected to the general output Orz input and Output sample Input Sample #:

4 5
1 2 2
1 3 2
1 4 3
2 3 4
3 4 3 Output Example # #:

7 Code Kruskal (algorithm based on the and check set)

#include <cstdio> #include <algorithm> using namespace std;
const int m=200005,n=5005;
int N,m,ans,h[n],fa[n],t,edge; struct node{int u,v,w;}
E[M];
    inline int read () {int sum=0; char Ch=getchar (); while (ch> ' 9 ' | |
    ch< ' 0 ') Ch=getchar ();
    while (ch<= ' 9 ' &&ch>= ' 0 ') Sum=sum*10+ch-48,ch=getchar ();
return sum;
    } BOOL CMP (node A,node b) {return a.w<b.w;} int find (int x) {if (fa[x]!=x) Fa[x]=find (fa[x]);
return fa[x];
    } int main () {int u,v,w;
    N=read (), M=read ();
    for (int i=1;i<=n;i++) fa[i]=i;
    for (int i=1;i<=m;i++) {e[i].u=read (), E[i].v=read (), E[i].w=read ();
    } sort (e+1,e+m+1,cmp);
        for (int i=1;i<=m;i++) {int u=e[i].u;
        int v=e[i].v;
        int W=E[I].W;
        if (Find (U) ==find (v)) continue;
        Fa[find (u)]=v;
        Edge++;ans+=w;
            if (edge==n-1) {printf ("%d", ans);
        return 0;
    }} printf ("Orz"); RetUrn 0; }
Prim (DJ-based algorithm)
#include <cstdio>
using namespace std;
const int MAXN=0X7FFFFFFF;
int d[5005],w[5005][5005],v[5005];
int m,n,x,y,z,min1,t,sum;
int main ()
{
    scanf ("%d%d", &n,&m);
    for (int i=1;i<=m;i++)
     {
        scanf ("%d%d%d", &x,&y,&z);
        if (w[x][y]==0| | W[x][y]>z)
         {
            w[x][y]=z;
            w[y][x]=z;
         }
     }
    for (int i=1;i<=n;i++) D[I]=MAXN;
    d[1]=0;
    for (int i=1;i<=n;i++)
    {
        min1=maxn;
        for (int j=1;j<=n;j++)
        {
            if (v[j]==0&&d[j]<min1)
            {
                t=j;
                MIN1=D[J];
             }
         }
        V[t]=1;
        sum=sum+min1;
        for (int j=1;j<=n;j++)
         if (V[j]==0&&w[t][j]!=0&&d[j]>w[t][j])
          d[j]=w[t][j];
     } 
     printf ("%d", sum);
     return 0;
}
Related Article

Contact Us

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

  • Sales Support

    1 on 1 presale consultation

  • After-Sales Support

    24/7 Technical Support 6 Free Tickets per Quarter Faster Response

  • Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.