HDU - 3499 -(Dijkstra变形+枚举边)
InputThere are no more than 10 test cases. Subsequent test cases are separated by a blank line.
The first line of each test case contains two integers N and M ( 2 <= N <= 100,000
0 <= M <= 500,000 ), representing the number of cities and flights. Each of the following M lines contains "X Y D" representing a flight from city X to city Y with ticket price D ( 1 <= D <= 100,000 ). Notice that not all of the cities will appear in the list! The last line contains "S E" representing the start and end city. X, Y, S, E are all strings consisting of at most 10 alphanumeric characters.
OutputOne line for each test case the least money Shua Shua have to pay. If it's impossible for him to finish the trip, just output -1.Sample Input
4 4
Harbin Beijing 500
Harbin Shanghai 1000
Beijing Chengdu 600
Shanghai Chengdu 400
Harbin Chengdu 4 0
Harbin Chengdu
Sample Output
800
-1
Hint
In the first sample, Shua Shua should use the card on the flight from
Beijing to Chengdu, making the route Harbin->Beijing->Chengdu have the
least total cost 800. In the second sample, there's no way for him to get to
Chengdu from Harbin, so -1 is needed.
这个题的坑点在于建单向边,然后跑两边Dijkstra相当于处理前缀和后缀 然后枚举边就行了,还有初始化INF要大 可能爆longlong
代码:
#include<cstdio>
#include<iostream>
#include<cstring>
#include<algorithm>
#include<queue>
#include<stack>
#include<set>
#include<vector>
#include<map>
#include<cmath>
#define Inf 100000000000
const int maxn=1e5+;
typedef long long ll;
using namespace std;
map<string,int>mp;
struct edge
{
int u,v;
ll w;
int next;
}Edge[*maxn];
struct node
{
int pos;
ll w;
node(int x,int y)
{
pos=x;
w=y;
}
bool friend operator < (node x,node y)
{
return x.w>y.w;
}
};
int head[maxn];
bool vis[maxn];
int cnt;
ll dis[maxn], dis2[maxn];
int u[*maxn],v[*maxn];
ll w[*maxn];
void add(int u,int v,int w)
{
Edge[cnt].u=u;
Edge[cnt].v=v;
Edge[cnt].w=w;
Edge[cnt].next=head[u];
head[u]=cnt++;
}
void Dijkstra(int s)
{
dis[s]=;
priority_queue<node>q;
q.push(node(s,));
while(!q.empty())
{
node now=q.top();
q.pop();
if(vis[now.pos])continue;
vis[now.pos]=;
for(int i=head[now.pos];i!=-;i=Edge[i].next)
{
if(dis[now.pos]+Edge[i].w<dis[Edge[i].v])
{ dis[Edge[i].v]= dis[now.pos]+Edge[i].w;
q.push(node(Edge[i].v,dis[Edge[i].v]));
}
}
}
return ;
}
void Dijkstra1(int s)
{
dis2[s]=;
priority_queue<node>q;
q.push(node(s,));
while(!q.empty())
{
node now=q.top();
q.pop();
if(vis[now.pos])continue;
vis[now.pos]=;
for(int i=head[now.pos];i!=-;i=Edge[i].next)
{
if(dis2[now.pos]+Edge[i].w<dis2[Edge[i].v])
{ dis2[Edge[i].v]= dis2[now.pos]+Edge[i].w;
q.push(node(Edge[i].v,dis2[Edge[i].v]));
}
}
}
return ;
}
int main()
{
int m,n;
while(cin>>n>>m)
{
int cc=;
cnt=;
memset(head,-,sizeof(head));
memset(vis,,sizeof(vis));
for(int t=;t<=;t++)
{
dis2[t]=Inf;
dis[t]=Inf;
}
string st,ed;
string uu,vv;
mp.clear();
for(int t=;t<m;t++)
{
cin>>uu>>vv>>w[t];
if(mp[uu]==)
{
mp[uu]=cc++;
}
if(mp[vv]==)
{
mp[vv]=cc++;
} add(mp[uu],mp[vv],w[t]);
u[t]=mp[uu];
v[t]=mp[vv]; //add(mp[v],mp[u],w);
}
cin>>st>>ed;
if(st==ed)
{
puts("");
continue;
}
if(mp[st]==)
{
mp[st]=cc++;
}
//cout<<mp[st]<<endl;
if(mp[ed]==)
{
mp[ed]=cc++;
}
Dijkstra(mp[st]);
if(dis[mp[ed]]==Inf)
{
puts("-1");
continue;
}
// for(int t=1;t<=cc;t++)
// {
// dis2[t]=Inf;
// }
memset(vis,,sizeof(vis));
memset(head,-,sizeof(head));
cnt=;
for(int t=;t<m;t++)
{
add(v[t],u[t],w[t]);
//add(mp[v],mp[u],w);
}
Dijkstra1(mp[ed]);
ll ans=;
for(int t=;t<cnt;t++)
{
ans=min(ans,dis[Edge[t].v]+dis2[Edge[t].u]+Edge[t].w/);
}
printf("%lld\n",ans);
}
return ;
}
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