POJ 2387 经典解法，优先队列的dijkstra+链式前向星存储

这是很经典的解法，采用链式前向星的方式存储边，最短路Dijkstra+优先队列。时间复杂度减少很多

Til the Cows Come Home

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 55515		Accepted: 18850

Description

Bessie is out in the field and wants to get back to the barn to get as much sleep as possible before Farmer John wakes her for the morning milking. Bessie needs her beauty sleep, so she wants to get back as quickly as possible.


Farmer John’s field has N (2 <= N <= 1000) landmarks in it, uniquely numbered 1..N. Landmark 1 is the barn; the apple tree grove in which Bessie stands all day is landmark N. Cows travel in the field using T (1 <= T <= 2000) bidirectional cow-trails of various lengths between the landmarks. Bessie is not confident of her navigation ability, so she always stays on a trail from its start to its end once she starts it.


Given the trails between the landmarks, determine the minimum distance Bessie must walk to get back to the barn. It is guaranteed that some such route exists.

Input

* Line 1: Two integers: T and N


* Lines 2..T+1: Each line describes a trail as three space-separated integers. The first two integers are the landmarks between which the trail travels. The third integer is the length of the trail, range 1..100.

Output

* Line 1: A single integer, the minimum distance that Bessie must travel to get from landmark N to landmark 1.

Sample Input

5 5 

1 2 20 

2 3 30 

3 4 20 

4 5 20 

1 5 100

Sample Output

90

Hint

INPUT DETAILS:


There are five landmarks.


OUTPUT DETAILS:


Bessie can get home by following trails 4, 3, 2, and 1.

Source

USACO 2004 November

#include 
#include 
#include 
#include 
#include 
using namespace std;
#define MAX 4004
const int inf = 1000000000;
int p[MAX];
int nEdge;
bool vis[MAX];
int dis[MAX];

struct edge{
    int v,w,pre;
}e[MAX];

void addEdge(int u,int v,int w)
{
    nEdge++;
    e[nEdge].v = v;
    e[nEdge].w = w;
    e[nEdge].pre = p[u];
    p[u] = nEdge;
}


struct node{
int u,dis;
node(int x,int y){u = x,dis = y;}
friend bool operator< ( node a,node b)
    {
        return a.dis>b.dis;
    }
};
void dijkstra(int st,int en)
{
    int i,j;
    for(i = 0;i <= st;i++)
    {
        dis[i] = inf;
        vis[i] = false;
    }
    dis[st] = 0;
    priority_queue qu;
    qu.push(node(st,0));
    while(!qu.empty())
    {
        int u = qu.top().u;
        vis[u] = true;
        qu.pop();
        for(j = p[u];j;j = e[j].pre)
        {
            int v = e[j].v;
            int w = e[j].w;
            if(!vis[v] && dis[u] + w < dis[v])
            {
                dis[v] = dis[u] + w;
                qu.push(node(v,dis[v]));
            }
        }
    }
    printf("%d\n",dis[en]);
}

int main()
{
    int t,n;
    int a,b,c;
    while(~scanf("%d%d",&t,&n))
    {
        nEdge = 0;
        memset(p,0,sizeof(p));
        for(int i = 0;i < t;i++)
        {
            scanf("%d%d%d",&a,&b,&c);
            addEdge(a,b,c);
            addEdge(b,a,c);
        }
        dijkstra(n,1);
    }
    return 0;
}