POJ [P2631] Roads in the North
树的直径
树的直径求法:
- 任取一点u,找到树上距u最远的点s
- 找到树上距s点最远的点t,s->t的距离即为所求
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <queue>
using namespace std;
int init(){
int rv=0,fh=1;
char c=getchar();
while(c<'0'||c>'9'){
if(c=='-') fh=-1;
c=getchar();
}
while(c>='0'&&c<='9'){
rv=(rv<<1)+(rv<<3)+c-'0';
c=getchar();
}
return fh*rv;
}
const int MAXN=30005;
int n,m,head[MAXN],nume,q,dis[MAXN];
struct edge{
int to,nxt,dis;
}e[MAXN<<1];
void adde(int from,int to,int dis){
e[++nume].to=to;
e[nume].nxt=head[from];
head[from]=nume;
e[nume].dis=dis;
}
bool f[MAXN];
int bfs(int s){
queue<int>q;
q.push(s);
dis[s]=0;
memset(dis,0,sizeof(dis));
memset(f,0,sizeof(f));
f[s]=1;
while(!q.empty()){
int u=q.front();q.pop();
for(int i=head[u];i;i=e[i].nxt){
int v=e[i].to;
if(!f[v]){
q.push(v);
f[v]=1;
dis[v]=dis[u]+e[i].dis;
}
}
}
}
int main(){
freopen("in.txt","r",stdin);
int u,v,di;
while(~scanf("%d%d%d",&u,&v,&di)){
n=max(n,u);n=max(n,v);
adde(u,v,di);adde(v,u,di);
}
bfs(1);
int t=0,ma=0;
for(int i=1;i<=n;i++){
if(ma<dis[i]){
ma=dis[i];
t=i;
}
}
//cout<<t<<endl;
bfs(t);
ma=0;
//for(int i=1;i<=n;i++) cout<<dis[i]<<endl;
for(int i=1;i<=n;i++){
if(ma<dis[i]){
ma=dis[i];
}
}
cout<<ma;
fclose(stdin);
return 0;
}
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