POJ_1125_(dijkstra)
| Time Limit: 1000MS | Memory Limit: 10000K | |
| Total Submissions: 35553 | Accepted: 19733 |
Description
Unfortunately for you, stockbrokers only trust information coming from their "Trusted sources" This means you have to take into account the structure of their contacts when starting a rumour. It takes a certain amount of time for a specific stockbroker to pass the rumour on to each of his colleagues. Your task will be to write a program that tells you which stockbroker to choose as your starting point for the rumour, as well as the time it will take for the rumour to spread throughout the stockbroker community. This duration is measured as the time needed for the last person to receive the information.
Input
Each person is numbered 1 through to the number of stockbrokers. The time taken to pass the message on will be between 1 and 10 minutes (inclusive), and the number of contacts will range between 0 and one less than the number of stockbrokers. The number of stockbrokers will range from 1 to 100. The input is terminated by a set of stockbrokers containing 0 (zero) people.
Output
It is possible that your program will receive a network of connections that excludes some persons, i.e. some people may be unreachable. If your program detects such a broken network, simply output the message "disjoint". Note that the time taken to pass the message from person A to person B is not necessarily the same as the time taken to pass it from B to A, if such transmission is possible at all.
Sample Input
3
2 2 4 3 5
2 1 2 3 6
2 1 2 2 2
5
3 4 4 2 8 5 3
1 5 8
4 1 6 4 10 2 7 5 2
0
2 2 5 1 5
0
Sample Output
3 2
3 10
题是真的难读。。。 题意:每个人有若干个朋友,将一条消息传给自己的朋友需要花费一定的时间,问选择哪一个人作为源点所有人得到消息的时间最短。
根据样例理解,一个人是可以同时发给所有朋友。 思路:根据题意自然想到了最短路,对每个人求一遍,每求一个人找最大的dist,不连通则res=INF。
#include<iostream>
#include<cstdio>
#include<cstring>
using namespace std;
#define N 105
#define INF 999999999 int n; struct Eage
{
int v,val,next;
} eage[N*N]; int head[N],cnte; void addEage(int a,int b,int t)
{
eage[cnte].v=b;
eage[cnte].val=t;
eage[cnte].next=head[a];
head[a]=cnte++;
} int dist[N];
bool vis[N];
void dijkstra(int ver)
{
for(int i=; i<=n; i++)
{
dist[i]=INF;
vis[i]=;
}
for(int i=head[ver]; i!=; i=eage[i].next)
{
int v=eage[i].v;
int val=eage[i].val;
dist[v]=val;
}
dist[ver]=;
vis[ver]=;
for(int i=; i<n; i++)
{
int mindist=INF,u=ver;
for(int j=; j<=n; j++)
if(dist[j]<mindist&&vis[j]==)
{
mindist=dist[j];
u=j;
}
vis[u]=;
for(int j=head[u];j!=;j=eage[j].next)
{
int v=eage[j].v;
int val=eage[j].val;
if(dist[v]>dist[u]+val)
dist[v]=dist[u]+val;
}
}
} int main()
{
while(scanf("%d",&n)!=EOF&&n)
{
cnte=;
for(int i=; i<=n; i++)
{
head[i]=;
int m;
scanf("%d",&m);
for(int j=; j<m; j++)
{
int ver,tim;
scanf("%d%d",&ver,&tim);
addEage(i,ver,tim);
}
}
int resver=INF,res=INF;
for(int i=; i<=n; i++)
{
dijkstra(i);
int val=;
for(int j=;j<=n;j++)
if(dist[j]>val)
val=dist[j];
if(val<res)
{
resver=i;
res=val;
}
}
if(res==INF)
printf("disjoint\n");
else
printf("%d %d\n",resver,res);
}
return ;
}
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