网络流二十四题之汽车加油行驶问题

好吧,这还是一道分层图的spfa,这道题注意一下加油的条件,分情况判断就行。

#include <bits/stdc++.h>
#define ll long long
using namespace std;
struct node
{
    int x,y,k;
};
int dx[4] = {0,1,-1,0};
int dy[4] = {1,0,0,-1};
int dis[101][101][15],vis[101][101][15],mp[101][101];
const int INF = 0x3f3f3f3f;
int n,m,k,a,b,c;

void bfs()
{
    memset(dis,20,sizeof(dis));
    dis[1][1][k] = 0;
    vis[1][1][k] = 1;
    queue<node> q;
    q.push((node){1,1,k});
    while(!q.empty())
    {
       node now = q.front();
       q.pop();
       int X = now.x;
       int Y = now.y;
       int K = now.k;
      vis[X][Y][K] = 0;
      if(mp[X][Y] && K != k)
      {
          if(dis[X][Y][k] > dis[X][Y][K] + a)
          {
              dis[X][Y][k] = dis[X][Y][K] + a;
              if(!vis[X][Y][k])
              {
                  vis[X][Y][k] = 1;
                  q.push((node){X,Y,k});
              }
          }
          continue;
      }
      else
      {
            if(dis[X][Y][k] > dis[X][Y][K] + a+ c)
            {
                dis[X][Y][k] = dis[X][Y][K] + a+ c;
                if(!vis[X][Y][k])
                {
                    vis[X][Y][k]  =1;
                    q.push((node){X,Y,k});
                }
            }
      }
      if(K >0 )
      {
          for(int i = 0;i<4;i++)
          {
              int x = X + dx[i];
              int y = Y + dy[i];
              if(x < 1 || y < 1 || x > n || y > n) continue;
              int len = 0;
              if(x < X || y < Y) len = b;
              if(dis[x][y][K-1] > dis[X][Y][K] + len)
              {
                  dis[x][y][K-1] = dis[X][Y][K] + len;
                  if(!vis[x][y][K-1])
                  {
                      vis[x][y][K-1] = 1;
                      q.push((node){x,y,K-1});
                  }
              }
          }
      }

    }
    int ans = INF;
    for(int i = 0;i<k;i++)
    {
        ans = min(ans,dis[n][n][i]);
    }
    printf("%d\n",ans);
}
int main()
{
    scanf("%d%d%d%d%d",&n,&k,&a,&b,&c);
    for(int i = 1;i<=n;i++)
    {
        for(int j = 1;j<=n;j++)
        {
            scanf("%d",&mp[i][j]);
        }
    }
    bfs();
    return  0;
}

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转载自blog.csdn.net/lingzidong/article/details/79866110