• 最短路径spfa


    #include <stdio.h>
    #include <string.h>
    #include <algorithm>
    #include <queue>
    using namespace std;
    
    const int inf = 1<<30;
    const int L = 200000;
    
    struct Edges
    {
        int x,y,w,next;
    } e[L<<2];
    
    int head[L];
    int dis[L];
    int vis[L];
    int cnt[L];
    
    void AddEdge(int x,int y,int w,int k)
    {
        e[k].x = x,e[k].y = y,e[k].w = w,e[k].next = head[x],head[x] = k;
    }
    int relax(int u,int v,int c)
    {
        if(dis[v]>dis[u]+c)
        {
            dis[v] = dis[u]+c;
            return 1;
        }
        return 0;
    }
    
    int SPFA(int src)
    {
        int i;
        memset(cnt,0,sizeof(cnt));
        dis[src] = 0;
        queue<int> Q;
        Q.push(src);
        vis[src] = 1;
        cnt[src]++;
        while(!Q.empty())
        {
            int u,v;
            u = Q.front();
            Q.pop();
            vis[u] = 0;
            for(i = head[u]; i!=-1; i=e[i].next)
            {
                v = e[i].y;
                if(relax(u,v,e[i].w)==1 && !vis[v])
                {
                    Q.push(v);
                    vis[v] = 1;
                }
            }
        }
    }
    
    int main()
    {
        int t,n,m;
        int i,j;
        scanf("%d%d",&n,&m);
        memset(e,-1,sizeof(e));
        for(i = 1; i<=n; i++)
        {
            dis[i] = inf;
            vis[i] = 0;
            head[i] = -1;
        }
        for(i = 0; i<m; i++)
        {
            int x,y,w;
            scanf("%d%d%d",&x,&y,&w);
            AddEdge(x,y,w,i);
        }
        SPFA(1);
        for(i = 2; i<=n; i++)
            printf("%d
    ",dis[i]);
    
    
        return 0;
    }
    
    
    
    
    
    
    
    
    
    
    #include<iostream>
    #include<queue>
    #include<memory.h>
    using namespace std;
    
    const int inf=1<<30;
    const int N=200005;
    struct Edge
    {
    	int u,v,w,next;
    };
    int head[N];
    int dis[N];
    int vis[N];
    Edge e[N];
    
    void addEdge(int from,int to,int we,int i)
    {
    	e[i].u=from;
    	e[i].v=to;
    	e[i].w=we;
    	e[i].next=head[from];
    	head[from]=i;
    }
    
    bool releax(int u,int v,int w)
    {
    	if(dis[u]+w<dis[v])
    	{
    		dis[v]=dis[u]+w;
    		return true;
    	}
    	return false;
    }
    
    
    void spfa(int x)
    {
    	queue<int> q;
    	q.push(x);
    	vis[x]=1;
    	dis[x]=0;
    	while(!q.empty())
    	{
    		int u,v,i;
    		u=q.front();
    		q.pop();
    		vis[u]=0;
    		for(i=head[u];i!=-1;i=e[i].next)
    		{
    			v=e[i].v;
    			if(!vis[v]&&releax(u,v,e[i].w))
    			{
    				q.push(v);
    				vis[v]=1;
    			}
    		}
    	}
    	
    }
    
    
    
    
    
    
    
    int main()
    {
    	//cout<<inf<<' '<<N<<endl;
    	int n,m,i,u,v,w;
    	//memset(head,-1,sizeof(head));
    	//memset(dis,inf,sizeof(dis));
    	//memset(vis,0,sizeof(vis));
    	//memset(e,-1,sizeof(e));
    	cin>>n>>m;
    	for(i=1;i<=n;i++)
    	{
    		head[i]=-1;
    		dis[i]=inf;
    		vis[i]=0;
    	} 
    	for(i=1;i<=m;i++)
    	{
    		cin>>u>>v>>w;
    		addEdge(u,v,w,i); 
    	}
    	
    	/*for(i=1;i<=m;i++)
    	{
    		cout<<e[i].u<<' '<<e[i].v<<' '<<e[i].next<<endl;
    	}
    	for(i=1;i<=3;i++)
    	cout<<head[i]<<' ';*/
    	spfa(1);
    	for(i=2;i<=n;i++)
    	{
    		cout<<dis[i]<<endl;
    	}
    	
    	
    	
    	
    	return 0;
    }
    

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  • 原文地址:https://www.cnblogs.com/u013533289/p/4477268.html
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