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  • VIJOS-P1635 城市连接

    嘿嘿嘿,逆向spfa,貌似不难...

    #include <cstdio>
    #include <algorithm>
    #include <cmath>
    #include <cstring>
    #include <iostream>
    #include <queue>
    using namespace std;
    #define N 1005
    int n;
    int map[N][N];
    struct node
    {
        int next,to,val;
        int next1,from;
    }e[N*N];
    int head[N],tail[N],cnt,vis[N],dis[N],a[N];
    void add(int x,int y,int z)
    {
        e[++cnt].next=head[x];
        e[cnt].to=y;
        e[cnt].val=z;
        head[x]=cnt;
        e[cnt].next1=tail[y];
        e[cnt].from=x;
        tail[y]=cnt;
        return ;
    }
    int dijkstra(int start)
    {
        memset(dis,0x3f,sizeof(dis));
        memset(vis,0,sizeof(vis));
        dis[start]=0;
        for(int i=1;i<=n;i++)
        {
            int x;
            int min_value=0x3f3f3f;
            for(int j=1;j<=n;j++)
            {
                if(vis[j]!=1&&dis[j]<min_value)
                {
                    min_value=dis[j];
                    x=j;
                }
            }
            vis[x]=1;
            for(int k=head[x];k!=-1;k=e[k].next)
            {
                int ans=e[k].to;
                if(vis[ans]!=1)
                {
                    if(dis[ans]>dis[x]+e[k].val)
                    {
                        dis[ans]=dis[x]+e[k].val;
                    }
                }
            }
        }
        return dis[n];
    }
    void spfa(int start)
    {
        memset(vis,0,sizeof(vis));
        queue <int>q;
        q.push(start);
        vis[start]=1;
        int num=1;
        a[num]=n;
        while(!q.empty())
        {
            int x=q.front();
            q.pop();
            vis[x]=0;
            for(int i=tail[x];i!=-1;i=e[i].next1)
            {
                if(dis[e[i].from]==dis[x]-e[i].val)
                {
                    a[++num]=e[i].from;
                    q.push(e[i].from);
                }
            }
        }
        return ;
    }
    int main()
    {
        scanf("%d",&n);
        memset(head,-1,sizeof(head));
        memset(tail,-1,sizeof(tail));
        for(int i=1;i<=n;i++)
        {
            for(int j=1;j<=n;j++)
            {
                scanf("%d",&map[i][j]);
                if(map[i][j]!=0)
                {
                    add(i,j,map[i][j]);
                }
            }
        }
        int ans=dijkstra(1);
        spfa(n);
        int i;
        for(i=1;;i++)
        {
            if(a[i+1]==0)break;
        }
        for(;i>=1;i--)
        {
            printf("%d ",a[i]);
        }
        puts("");
        printf("%d
    ",ans);
    }
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  • 原文地址:https://www.cnblogs.com/Winniechen/p/6798017.html
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