poj3411Paid Roads

题目链接：

http://poj.org/problem?id=3411

题目：

Paid Roads

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 5080		Accepted: 1784

Description

A network of m roads connects N cities (numbered from 1 toN). There may be more than one road connecting one city with another. Some of the roads are paid. There are two ways to pay for travel on a paid roadi from city a_i to city b_i:

• in advance, in a city c_i (which may or may not be the same asa_i);
• after the travel, in the city b_i.

The payment is P_i in the first case and R_i in the second case.

Write a program to find a minimal-cost route from the city 1 to the city N.

Input

The first line of the input contains the values of N and m. Each of the following m lines describes one road by specifying the values ofa_i,b_i, c_i,P_i,R_i (1 ≤ i ≤ m). Adjacent values on the same line are separated by one or more spaces. All values are integers, 1 ≤m, N ≤ 10, 0 ≤P_i , R_i ≤ 100,P_i ≤R_i (1 ≤ i ≤ m).

Output

The first and only line of the file must contain the minimal possible cost of a trip from the city 1 to the cityN. If the trip is not possible for any reason, the line must contain the word ‘impossible’.

Sample Input

4 5
1 2 1 10 10
2 3 1 30 50
3 4 3 80 80
2 1 2 10 10
1 3 2 10 50

Sample Output

110

Source

Northeastern Europe 2002, Western Subregion

这个题目的意思是有两种付费方式。

1：假设曾经经过c城市，那么就在c城市付费。

。

2：假设没有经过，那么就在b城市付费。。

还有注意题目中的数据为m<10，所以每一个点最多走3次。。

由于成环的话那么最少3个点。则最少3路。

所以最多走3次。

。

。

故应用int vis[ manx]。。。

然后dfs回溯。。。

所以代码为：

#include<iostream>
#include<cstdio>
#include<cstring>
#define INF 0x3f3f3f3f
const int maxn=10+10;
int vis[maxn];
int min_cost,fee;
int n,m;
struct node
{
    int a,b,c,p,r;
}e[maxn];
void dfs(int x,int fee)
{
    if(x==n&&min_cost>fee)
    {
        min_cost=fee;
        return;
    }
    if(x==n)
        return;
    for(int i=1;i<=m;i++)
    {
        if(e[i].a==x&&vis[e[i].b]<3)
        {
            vis[e[i].b]++;
            if(vis[e[i].c])
                dfs(e[i].b,fee+e[i].p);
            else
                dfs(e[i].b,fee+e[i].r);
            vis[e[i].b]--;
        }
    }
}

int main()
{
   while(scanf("%d %d",&n,&m)!=EOF)
   {
       memset(vis,0,sizeof(vis));
       min_cost=INF;
       for(int i=1;i<=m;i++)
       {
           scanf("%d%d%d%d%d",&e[i].a,&e[i].b,&e[i].c,&e[i].p,&e[i].r);
       }
       vis[1]=1;
       dfs(1,0);
       if(min_cost!=INF)
          printf("%d
",min_cost);
       else
         printf("impossible
");
   }
   return 0;
}