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hdu3790最短路径问题(BFS+优先队列)

Problem Description
给你n个点,m条无向边,每条边都有长度d和花费p,给你起点s终点t,要求输出起点到终点的最短距离及其花费,如果最短距离有多条路线,则输出花费最少的。


Input
输入n,m,点的编号是1~n,然后是m行,每行4个数 a,b,d,p,表示a和b之间有一条边,且其长度为d,花费为p。最后一行是两个数 s,t;起点s,终点。n和m为0时输入结束。
(1<n<=1000, 0<m<100000, s != t)


Output
输出 一行有两个数, 最短距离及其花费。


Sample Input
3 2
1 2 5 6
2 3 4 5
1 3
0 0

Sample Output
9 11

#include<stdio.h>   #include<iostream>   #include<queue>   using namespace std;    typedef struct n1  {      int  x,dist,mony;      friend bool operator<(n1 a,n1 b)      {          if(b.dist>a.dist)          return b.dist<a.dist;          else if(b.dist==a.dist&&b.mony>=a.mony)          return b.mony<a.mony;      }  }node;  node map[1005][1005],N[1005];  int s,t,min_dist,min_mony;  int vist[1005][1005];  void set(int n,int m)  {      int i,j,n1,n2,d,p;      for(i=1;i<=n;i++)      {          for(j=1;j<=n;j++)          {              map[i][j].dist=0;vist[i][j]=0;          }      }      while(m--)      {          scanf("%d%d%d%d",&n1,&n2,&d,&p);          if(map[n1][n2].dist==d)//建立地图时注意输入时有重边出出的情况           {              if(map[n1][n2].mony>p)              map[n1][n2].mony=map[n2][n1].mony=p;          }          else if(map[n1][n2].dist==0||map[n1][n2].dist>d)          {              map[n1][n2].dist=map[n2][n1].dist=d;              map[n1][n2].mony=map[n2][n1].mony=p;          }      }      scanf("%d%d",&s,&t);  }  void BFS(int n)  {      priority_queue<node> Q;      node q,p;      int i;      q.mony=0; q.dist=0;q.x=t;      Q.push(q);      while(!Q.empty())      {          q=Q.top();          Q.pop();          if(q.x==s)          {              min_dist=q.dist;min_mony=q.mony;              break;          }          for(i=1;i<=n;i++)          if(map[q.x][i].dist&&!vist[q.x][i])          {              vist[q.x][i]=vist[i][q.x]=1;//这样就不会走重复的路               p.dist=map[q.x][i].dist+q.dist;              p.mony=map[q.x][i].mony+q.mony;              p.x=i;              Q.push(p);          }      }  }  int main()  {      int n,m;      while(scanf("%d%d",&n,&m)>0&&(n||m))      {          set(n,m);          BFS(n);          printf("%d %d\n",min_dist,min_mony);      }  }  /* 5 7 1 2 5 5 2 3 4 5 1 3 4 6 3 4 2 6 3 5 4 7 4 5 2 6 1 3 4 4 1 5 8 11 5 7 1 2 5 5 2 3 4 5 1 3 4 6 3 4 2 2 3 5 4 7 4 5 2 4 1 3 4 4 1 5 8 10 */  #include<stdio.h>
#include<iostream>
#include<queue>
using namespace std;

typedef struct n1
{
    int  x,dist,mony;
    friend bool operator<(n1 a,n1 b)
    {
        if(b.dist>a.dist)
        return b.dist<a.dist;
        else if(b.dist==a.dist&&b.mony>=a.mony)
        return b.mony<a.mony;
    }
}node;
node map[1005][1005],N[1005];
int s,t,min_dist,min_mony;
int vist[1005][1005];
void set(int n,int m)
{
    int i,j,n1,n2,d,p;
    for(i=1;i<=n;i++)
    {
        for(j=1;j<=n;j++)
        {
            map[i][j].dist=0;vist[i][j]=0;
        }
    }
    while(m--)
    {
        scanf("%d%d%d%d",&n1,&n2,&d,&p);
        if(map[n1][n2].dist==d)//建立地图时注意输入时有重边出出的情况
        {
            if(map[n1][n2].mony>p)
            map[n1][n2].mony=map[n2][n1].mony=p;
        }
        else if(map[n1][n2].dist==0||map[n1][n2].dist>d)
        {
            map[n1][n2].dist=map[n2][n1].dist=d;
            map[n1][n2].mony=map[n2][n1].mony=p;
        }
    }
    scanf("%d%d",&s,&t);
}
void BFS(int n)
{
    priority_queue<node> Q;
    node q,p;
    int i;
    q.mony=0; q.dist=0;q.x=t;
    Q.push(q);
    while(!Q.empty())
    {
        q=Q.top();
        Q.pop();
        if(q.x==s)
        {
            min_dist=q.dist;min_mony=q.mony;
            break;
        }
        for(i=1;i<=n;i++)
        if(map[q.x][i].dist&&!vist[q.x][i])
        {
            vist[q.x][i]=vist[i][q.x]=1;//这样就不会走重复的路
            p.dist=map[q.x][i].dist+q.dist;
            p.mony=map[q.x][i].mony+q.mony;
            p.x=i;
            Q.push(p);
        }
    }
}
int main()
{
    int n,m;
    while(scanf("%d%d",&n,&m)>0&&(n||m))
    {
        set(n,m);
        BFS(n);
        printf("%d %d\n",min_dist,min_mony);
    }
}
/*
5 7
1 2 5 5
2 3 4 5
1 3 4 6
3 4 2 6
3 5 4 7
4 5 2 6
1 3 4 4
1 5
8 11
5 7
1 2 5 5
2 3 4 5
1 3 4 6
3 4 2 2
3 5 4 7
4 5 2 4
1 3 4 4
1 5
8 10
*/

 

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