UVA-11280 Flying to Fredericton

题意

给定一些国家,和两个国家间的花费,现在有一些询问,询问每次最多转k次飞机,最小花费

分析

最短路的裸题,跑spfa或者dijsktra什么的都行

多开一维来记录转k次飞机时的最短路是什么(拆点?)

 1 #include <cstdio>
 2 #include <cstring>
 3 #include <algorithm>
 4 #include <iostream>
 5 #include <map>
 6 #include <queue>
 7 
 8 using namespace std;
 9 const int maxn=100+10;
10 const int maxm=1000+10;
11 const int INF=2147000000;
12 int T,m,n,sz,q;
13 map<string,int>name;
14 string num[maxn];
15 string s;
16 int d[maxn][maxn];
17 int vis[maxn][maxn];
18 int head[maxn],to[maxm],val[maxm],ecnt,Next[maxm];
19 struct Node{
20     int u,cnt;
21 };
22 void spfa(int s){
23     memset(vis,0,sizeof(vis));
24     for(int i=1;i<=n;i++)
25          for(int j=1;j<=n+1;j++)
26            d[i][j]=INF;
27     d[s][0]=0;
28     vis[s][0]=1;
29     queue<Node>q;
30     q.push((Node){s,0});
31     while(!q.empty()){
32         Node x=q.front();q.pop();
33         int u=x.u,cnt=x.cnt;
34         vis[u][cnt]=0;
35         for(int i=head[u];i;i=Next[i]){
36             int v=to[i];
37             if(d[v][cnt+1]>d[u][cnt]+val[i]){
38                 d[v][cnt+1]=d[u][cnt]+val[i];
39                 if(!vis[v][cnt+1]){
40                     vis[v][cnt+1]=1;
41                     q.push((Node){v,cnt+1});
42                 }
43             }
44         }
45     }
46 }
47 void add_edge(int a,int b,int w){
48     ecnt++;
49     to[ecnt]=b;
50     val[ecnt]=w;
51     Next[ecnt]=head[a];
52     head[a]=ecnt;
53 }
54 int main(){
55     //freopen("out.txt","w",stdout);
56     scanf("%d",&T);
57     for(int t=1;t<=T;t++){
58         if(t!=1)printf("
");
59         memset(head,0,sizeof(head));
60         printf("Scenario #%d
",t);
61         sz=0;
62         ecnt=0;
63         scanf("%d",&n);
64         for(int i=1;i<=n;i++){
65             cin>>s;
66             sz++;
67             name[s]=sz;
68             num[sz]=s;
69         }
70         scanf("%d",&m);
71         for(int i=1;i<=m;i++){
72             string a,b;
73             int w;
74             cin>>a>>b>>w;
75             add_edge(name[a],name[b],w);
76         }
77         spfa(1);
78 
79         scanf("%d",&q);
80         int a;
81         for(int i=1;i<=q;i++){
82             scanf("%d",&a);
83             int ans=INF;
84             for(int j=0;j<=min(a,n);j++){
85                 ans=min(ans,d[n][j+1]);
86             }
87             if(ans>=INF){
88                 printf("No satisfactory flights
");
89             }else
90             printf("Total cost of flight(s) is $%d
",ans);
91         }
92     }
93 return 0;
94 }
View Code
原文地址:https://www.cnblogs.com/LQLlulu/p/8784518.html