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  • 堆优化Dijkstra(Luogu 4779)

    • Pair

    #include<cstdio>
    #include<queue>
    #include<cstring>
    using namespace std;
    
    int n,m,s,dis[100005],head[100005],cnt=0;
    bool vis[100005];
    
    
    struct edge{
        int to,w,next;
    }e[500005];
    
    
    inline void add(int u,int v,int w){
        e[++cnt].w=w;
        e[cnt].to=v;
        e[cnt].next=head[u]; 
        head[u]=cnt;
    }
    
    priority_queue<pair<int,int> > q;
    inline void dijkstra(){
        for(int i=1; i<=n; i++) dis[i]=0x7fffffff;
        dis[s]=0;
        q.push(make_pair(0,s));
        while(!q.empty()){
            int x=q.top().second;
            q.pop();
            if(vis[x]) continue;
            vis[x]=1;
            for(int i=head[x];i!=-1;i=e[i].next){
                int y=e[i].to;
                if(!vis[y]&&dis[y]>dis[x]+e[i].w){
                    dis[y]=dis[x]+e[i].w;
                    q.push(make_pair(-dis[y],y));
                }
            }
        }
    }
    
    int main(){
        memset(head,-1,sizeof(head));
        scanf("%d%d%d",&n,&m,&s);
        for(int i=1;i<=m;i++){
            int u,v,w;
            scanf("%d%d%d",&u,&v,&w);
            add(u,v,w);
        }
        dijkstra();
        for(int i=1;i<=n;i++)printf("%d ",dis[i]);
    }
    
    • Struct

    #include<cstdio>
    #include<queue>
    #include<cstring>
    using namespace std;
    
    int n,m,s,dis[100005],head[100005],cnt=0;
    bool vis[100005];
    
    
    struct edge{
        int to,w,next;
    }e[500005];
    
    
    inline void add(int u,int v,int w){
        e[++cnt].w=w;
        e[cnt].to=v;
        e[cnt].next=head[u]; 
        head[u]=cnt;
    }
    struct node{
        int dis,u;
        bool operator <(const node &x)const{//
            return x.dis<dis;
        }
    };
    priority_queue<node> q;
    inline void dijkstra(){
        for(int i=1; i<=n; i++) dis[i]=0x7fffffff;
        dis[s]=0;
        q.push((node){0,s});
        while(!q.empty()){
            node t=q.top();
            q.pop();
            int x=t.u;
            if(vis[x]) continue;
            vis[x]=1;
            for(int i=head[x];i!=-1;i=e[i].next){
                int y=e[i].to;
                if(!vis[y]&&dis[y]>dis[x]+e[i].w){
                    dis[y]=dis[x]+e[i].w;
                    q.push((node){dis[y],y});
                }
            }
        }
    }
    
    int main(){
        memset(head,-1,sizeof(head));
        scanf("%d%d%d",&n,&m,&s);
        for(int i=1;i<=m;i++){
            int u,v,w;
            scanf("%d%d%d",&u,&v,&w);
            add(u,v,w);
        }
        dijkstra();
        for(int i=1;i<=n;i++)printf("%d ",dis[i]);
    }
    
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  • 原文地址:https://www.cnblogs.com/Y15BeTa/p/10960139.html
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