1207. 大臣的旅费
https://www.acwing.com/problem/content/1209/

#include<iostream>
#include<cstring>
#include<algorithm>
#include<cstdio>
using namespace std;
const int N = 1e5+10;
int n;
struct Edge
{
int id,w;
};
vector<Edge> h[N];
int dist[N];
void dfs(int u,int f,int distance)
{
dist[u]=distance;
for(auto node:h[u])
if(node.id != f)
dfs(node.id,u,distance+node.w);
}
int main()
{
cin >> n;
for(int i=0;i<n-1;i++)
{
int a,b,c;
scanf("%d%d%d",&a,&b,&c);
h[a].push_back({b,c});
h[b].push_back({a,c});
}
dfs(1,-1,0);
int u=1;
for(int i=1;i<=n;i++)
{
if(dist[i]>dist[u])u=i;
}
dfs(u,-1,0);
for(int i=1;i<=n;i++)
{
if(dist[i]>dist[u])u=i;
}
int s=dist[u];
printf("%lld",s*10+s*(s+1ll)/2);
return 0;
}

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