This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//Suleyman Atayew
#include <algorithm>
#include <iostream>
#include <string.h>
#include <stdio.h>
#include <vector>
#include <queue>
#include <cmath>
#include <map>
#include <set>
#define N 5010
#define ff first
#define ss second
#define pb push_back
#define ll long long
#define inf 1000000007
#define pii pair <int, int>
using namespace std;
int n;
int a, b;
int v[N][N];
vector <int> E[N];
int main()
{
cin >> n;
for(int i = 1; i <= n; i++) {
cin >> a >> b;
E[a].pb(b);
E[b].pb(a);
}
for(int i = 1; i <= n; i++)
for(int h = 1; h <= n; h++)
v[i][h] = 1e9;
for(int i = 1; i <= n; i++) {
queue <int> Q;
Q.push(i);
v[i][i] = 0;
while(!Q.empty()) {
int x = Q.front();
Q.pop();
for(auto h: E[x])
if(v[i][h] == 1e9) {
v[i][h] = v[i][x] + 1;
Q.push(h);
}
}
}
int mx = 0;
for(int i = 1; i <= n; i++)
for(int h = 1; h <= n; h++)
mx = max(mx, v[i][h]);
vector <pii> A;
for(int i = 1; i <= n; i++)
for(int h = i; h <= n; h++)
if(mx == v[i][h])
A.pb({i, h});
ll ans = 0;
for(auto i: A) {
int a = i.ff, b = i.ss;
queue <int> Q;
Q.push(b);
ll arr[N];
int vis[N];
memset(arr, 0, sizeof(arr));
memset(vis, 0, sizeof(vis));
while(!Q.empty()) {
int x = Q.front();
Q.pop();
if(vis[x] == 1) continue;
vis[x] = 1;
for(auto h: E[x])
if(v[a][h] == v[a][x]-1 && vis[h] == 0)
arr[v[a][h]]++, Q.push(h);
}
ll sum = 1;
for(int h = 1; h < mx; h++) sum *= arr[h];
ans += sum;
}
cout << ans;
}
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