2015 ICPC 沈阳站M题

M - Meeting

Time Limit:6000MS     Memory Limit:262144KB     64bit IO Format:%I64d & %I64u

Submit 

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5521

Appoint description: 
System Crawler  (2016-04-18)

Description

Bessie and her friend Elsie decide to have a meeting. However, after Farmer John decorated his 
fences they were separated into different blocks. John's farm are divided into 

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labelled from 

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Bessie lives in the first block while Elsie lives in the -th
one. They have a map of the farm 
which shows that it takes they  minutes
to travel from a block in  to
another block 
in  where 

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a set of blocks. They want to know how soon they can meet each other 
and which block should be chosen to have the meeting.

 

Input

The first line contains an integer 

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the number of test cases. Then 

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cases 
follow. 

The first line of input contains  and . 

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The following  lines
describe the sets 

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Each line will contain two integers 

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Then  integer
follows which are the labels of blocks in .
It is guaranteed that 

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Output

For each test case, if they cannot have the meeting, then output "Evil John" (without quotes) in one line. 

Otherwise, output two lines. The first line contains an integer, the time it takes for they to meet. 
The second line contains the numbers of blocks where they meet. If there are multiple 
optional blocks, output all of them in ascending order.

 

Sample Input

2
5 4
1 3 1 2 3
2 2 3 4
10 2 1 5
3 3 3 4 5
3 1
1 2 1 2

 

Sample Output

Case #1: 3
3 4
Case #2: Evil John

Hint

 In the first case, it will take Bessie 1 minute travelling to the 3rd block, and it will take Elsie 3 minutes travelling to the 3rd block. It will take Bessie 3 minutes travelling to the 4th block, and it will take Elsie 3 minutes travelling to the 4th block. In the second case, it is impossible for them to meet.
         

 

题意 

   有 N个点 n<=100000 ,m《=10000个集合。在同一个集合中的人意两个点的距离都相等，不同的集合时间不一定同样。 一个人从1 出发，一个人从n出发求 二人相遇的最时间

 思路：

　　假设按普通的写法　则须要建立非常多的边。边太多是存不下的，所以要缩图，缩图的方法　

　　

这样就能够了　。保证了集合内的点人意点都是time  哈

  可是 使用普通的SPFA  就会超时！！QAQ 

    须要是用 dijktra + 优先队列  

   套了个最短路优化模版 就能够了

#include <queue>
#include <vector>
#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>
#define  pb push_back
#define  mp make_pair
#define  sz(x) ((int)(x).size())
using namespace std;
const int N = 1000100*2;
const long long  INF = 1e18;
int n, m;
long long  dis[N];
long long dis1[N];
long long dis2[N];
long long f[N];
bool vis[N];
struct Node
{
    long long d;
    int  e;
    bool operator < (const Node x) const
    {
        return x.d < d;
    }
    Node(long long  d, int e):d(d), e(e) {}
};
vector<pair<int,long long  > > V[N];
void dijkstra(int s)
{
    priority_queue<Node> q;
    fill(dis + 1, dis + n+2*m + 1, INF);
    fill(vis + 1, vis + n+2*m + 1, false);
    q.push(Node(0, s));
    dis[s] = 0;
    while(!q.empty())
    {
        Node deq = q.top();
        q.pop();
        if(vis[deq.e])
            continue;
        vis[deq.e] = true;
        for(int i = 0; i < sz(V[deq.e]); i++)
        {
            int e = V[deq.e][i].first;
            long long  w = V[deq.e][i].second;
            if(dis[deq.e] < dis[e] - w)
            {
                dis[e] = dis[deq.e] + w;
                q.push(Node(dis[e], e));
            }
        }
    }
}
void add_edge(int a,int b,long long c)
{
    V[a].push_back(make_pair(b, c));
}
long long max(long long a,long long b)
{
    if(a>b)
        return a;
    return b;
}
long long min(long long a,long long b)
{
    if(a>b)return b;
    return a;
}
int main()
{
    int T;
    scanf("%d",&T);
    int  CASE=1 ;
    while(T--)
    {
        scanf("%d%d",&n,&m);
        int fc = n+1;
        for(int i = 1; i<=n+m*2+1; i++)
            V[i].clear();
        long long  time ;
        int  y;
        for(int i = 1; i<=m; i++)
        {
            scanf("%lld%d",&time,&y);
            int temp ;
            for(int j = 1; j<=y; j++)
            {
                scanf("%d",&temp);
                add_edge(temp,fc,0);
                add_edge(fc+1,temp,0);
            }
            add_edge(fc,fc+1,time);
            fc+=2;
        }

        dijkstra(1);
        memcpy(dis1,dis,sizeof(dis));
        dijkstra(n);
        memcpy(dis2,dis,sizeof(dis));

        long long minv = INF;
        for(int i =1 ; i<=n; i++)
        {
            f[i] = max(dis1[i],dis2[i]);
            minv = min(minv,f[i]);
        }
        printf("Case #%d: ",CASE++);
        if(minv>=INF)
        {
            printf("Evil John\n");
        }
        else
        {
            printf("%lld\n",minv);

            int flagc = 0;
            for(int i = 1; i<=n; i++)
            {
                if(f[i]==minv)
                {
                    if(!flagc)
                    {
                        printf("%d",i);
                        flagc = 1;
                    }
                    else
                        printf(" %d",i);
                }
            }
            printf("\n");
        }
    }
    return 0;
}