This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<iostream>
#include<algorithm>
#include<iomanip>
#include<cmath>
#include<cstring>
#include<vector>
#include<queue>
#include<stack>
#include<tuple>
#include<set>
#include<map>
#include<random>
#include<chrono>
using namespace std;
const int MAX_N=5e5+5;
int maxd[MAX_N];
int maxd2[MAX_N];
int dp[MAX_N];
vector<int>g[MAX_N];
int n;
int cnt[MAX_N];
int depth[MAX_N];
int ans;
void dfsdown(int u,int par)
{
for(int v:g[u])
{
if(v==par)continue;
depth[v]=depth[u]+1;
dfsdown(v,u);
if(maxd[v]+1>maxd[u])
{
maxd2[u]=maxd[u];
maxd[u]=maxd[v]+1;
}
else if(maxd[v]+1==maxd[u])
{
maxd2[u]=maxd[u];
}
}
}
void dfsup(int u,int par)
{
for(int v:g[u])
{
if(v==par)continue;
int cur=maxd[u];
if(maxd[v]+1==maxd[u])cur=maxd2[u];
dp[v]=max(dp[u],cur);
dfsup(v,u);
}
}
void solvefor(int root)
{
for(int i=1;i<=n;i++)
{
maxd[i]=0;
maxd2[i]=0;
dp[i]=0;
depth[i]=0;
}
dfsdown(root,0);
dfsup(root,0);
for(int i=1;i<=n;i++)
{
if(g[i].size()!=1 or i==root)continue;
int curhardness=depth[i]*dp[i];
cnt[curhardness]++;
ans=max(ans,curhardness);
}
}
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(NULL);
cout.tie(NULL);
cin>>n;
for(int i=1;i<n;i++)
{
int u,v;
cin>>u>>v;
g[u].push_back(v);
g[v].push_back(u);
}
for(int i=1;i<=n;i++)
{
if(g[i].size()!=1)continue;
solvefor(i);
}
cout<<ans<<" "<<cnt[ans]/2<<"\n";
return 0;
}
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