B - Roads in the North
Time Limit:1000MS Memory Limit:65536KB 64bit IO Format:%lld & %llu
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Description
Building and maintaining roads among communities in the far North is an expensive business. With this in mind, the roads are build such that there is only one route from a village to a village that does not pass through some other village twice.
Given is an area in the far North comprising a number of villages and roads among them such that any village can be reached by road from any other village. Your job is to find the road distance between the two most remote villages in the area.
The area has up to 10,000 villages connected by road segments. The villages are numbered from 1.
Input
Input to the problem is a sequence of lines, each containing three positive integers: the number of a village, the number of a different village, and the length of the road segment connecting the villages in kilometers. All road segments are two-way.
Output
You are to output a single integer: the road distance between the two most remote villages in the area.
Sample Input
5 1 6
1 4 5
6 3 9
2 6 8
6 1 7
Sample Output
22
#include<cstdio>
#include<cstring>
#include<queue>
using namespace std;
const int MAXN=1e4+10;
int head[MAXN],dis[MAXN];
bool vis[MAXN];
int edgenum,ans,Tnode,n;
struct Edge{
int from;
int to;
int val;
int next;
}edge[MAXN];
void init()
{
memset(head,-1,sizeof(head));edgenum=0;
}
void addedge(int u,int v,int w)
{
edge[edgenum].from=u;
edge[edgenum].to=v;
edge[edgenum].val=w;
edge[edgenum].next=head[u];
head[u]=edgenum++;
}
void bfs(int s)
{
memset(dis,0,sizeof(dis));memset(vis,false,sizeof(vis));
ans=0;
queue<int> que; que.push(s); vis[s]=true; dis[s]=0,Tnode=s;
while(!que.empty())
{
int now=que.front(); que.pop();
for(int i=head[now];i!=-1;i=edge[i].next)
{
int go=edge[i].to;
if(!vis[go])
{
if(dis[go]<dis[now]+edge[i].val)
dis[go]=dis[now]+edge[i].val;
vis[go]=true;
que.push(go);
if(ans<dis[go])//灵活运用 此题中无节点数目
{
ans=dis[go];
Tnode=go;
}
}
}
}
}
int main()
{
int u,v,w;
init();//忘了你 连结果都不给一个 输入也输不进去
// n=0;
while(~scanf("%d%d%d",&u,&v,&w))
{
// if(!u) break; 没有结束条件啊
addedge(u,v,w);
addedge(v,u,w);
// ++n;
}
bfs(1);//节点从0,1开始模板不用变
bfs(Tnode);
printf("%d\n",ans);
return 0;
}

本文介绍了一种算法,用于计算地图上两个最远村庄之间的道路距离。地图由最多10,000个村庄组成,每个村庄通过唯一的路径相连。算法使用广度优先搜索(BFS)来找出最大距离。
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