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HDU 2377 Bus Pass spfa

时间:2015-01-18 11:56:00      阅读:246      评论:0      收藏:0      [点我收藏+]

标签:c++

Problem Description
You travel a lot by bus and the costs of all the seperate tickets are starting to add up.

Therefore you want to see if it might be advantageous for you to buy a bus pass.

The way the bus system works in your country (and also in the Netherlands) is as follows:

when you buy a bus pass, you have to indicate a center zone and a star value. You are allowed to travel freely in any zone which has a distance to your center zone which is less than your star value. For example, if you have a star value of one, you can only travel in your center zone. If you have a star value of two, you can also travel in all adjacent zones, et cetera.

You have a list of all bus trips you frequently make, and would like to determine the minimum star value you need to make all these trips using your buss pass. But this is not always an easy task. For example look at the following figure:

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Here you want to be able to travel from A to B and from B to D. The best center zone is 7400, for which you only need a star value of 4. Note that you do not even visit this zone on your trips!
 

Input
On the first line an integert(1 <=t<= 100): the number of test cases. Then for each test case:

One line with two integersnz(2 <=nz<= 9 999) andnr(1 <=nr<= 10): the number of zones and the number of bus trips, respectively.

nz lines starting with two integers idi (1 <= idi <= 9 999) and mzi (1 <= mzi <= 10), a number identifying the i-th zone and the number of zones adjacent to it, followed by mzi integers: the numbers of the adjacent zones.

nr lines starting with one integer mri (1 <= mri <= 20), indicating the number of zones the ith bus trip visits, followed by mri integers: the numbers of the zones through which the bus passes in the order in which they are visited.

All zones are connected, either directly or via other zones.

 

Output
For each test case:

One line with two integers, the minimum star value and the id of a center zone which achieves this minimum star value. If there are multiple possibilities, choose the zone with the lowest number.

 

Sample Input
1 17 2 7400 6 7401 7402 7403 7404 7405 7406 7401 6 7412 7402 7400 7406 7410 7411 7402 5 7412 7403 7400 7401 7411 7403 6 7413 7414 7404 7400 7402 7412 7404 5 7403 7414 7415 7405 7400 7405 6 7404 7415 7407 7408 7406 7400 7406 7 7400 7405 7407 7408 7409 7410 7401 7407 4 7408 7406 7405 7415 7408 4 7409 7406 7405 7407 7409 3 7410 7406 7408 7410 4 7411 7401 7406 7409 7411 5 7416 7412 7402 7401 7410 7412 6 7416 7411 7401 7402 7403 7413 7413 3 7412 7403 7414 7414 3 7413 7403 7404 7415 3 7404 7405 7407 7416 2 7411 7412 5 7409 7408 7407 7405 7415 6 7415 7404 7414 7413 7412 7416
 

Sample Output
4 7400 共有m个地区 和n条公交线路 求距离所有公交站最近的那块区域 bfs或spfa所有公交站 用一个数组记录所有公交站距离i最远的距离 i: 1~10000 最后在所有最远距离中找到最小的那个即是答案 代码:
#include<iostream>
#include<cstdio>
#include<cstring>
#include<vector>
#include<queue>
#define MAX   9999999
using namespace std;
vector<int>q[10005];    //邻接表
int max_dis[10005];     //记录最远距离
int dis[10005];
int vis[10005];
int m,n;
void spfa(int start)
{
    queue<int>qq;
    int i,j,head;
    for(i=1; i<=10000; i++)
    {
        vis[i]=0;
        dis[i]=MAX;
    }
    if(max_dis[start]==-1)         //距离自己为1
        max_dis[start]=1;
    dis[start]=1;
    qq.push(start);
    while(!qq.empty())
    {
        head=qq.front();
        qq.pop();
        vis[head]=0;
        int v;
        for(i=0; i<q[head].size(); i++)
        {
            v=q[head][i];
            if(dis[v]>dis[head]+1)
            {
                dis[v]=dis[head]+1;
                if(max_dis[v]<dis[v])          //找最远距离
                    max_dis[v]=dis[v];
                if(!vis[v])
                {
                    vis[v]=1;
                    qq.push(v);
                }
            }
        }
    }
    return ;
}
int main()
{
    int t,i,j;
    scanf("%d",&t);
    while(t--)
    {
        for(i=0;i<=10000;i++)
        {
            q[i].clear();
            max_dis[i]=-1;
        }
        scanf("%d%d",&m,&n);
        int u,v,w=1,mm,nn;
        while(m--)
        {
            scanf("%d%d",&u,&nn);
            while(nn--)
            {
                scanf("%d",&v);
                q[u].push_back(v);
            }
        }
        while(n--)
        {
            scanf("%d",&nn);
            while(nn--)
            {
                scanf("%d",&mm);
                spfa(mm);
            }
        }
        int minn=MAX,x=1;
        for(i=1; i<=10000; i++)
        {
            if(max_dis[i]<minn&&max_dis[i]!=-1)
            {
                minn=max_dis[i];
                x=i;
            }
        }
        cout<<minn<<' '<<x<<endl;
    }
    return 0;
}



HDU 2377 Bus Pass spfa

标签:c++

原文地址:http://blog.csdn.net/axuan_k/article/details/42833853

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