#include <bits/stdc++.h>
using namespace std;
typedef int ll;
const ll INF = 1e9;
ll MOD = 998244353;
typedef pair<ll,ll> ii;
#define iii pair<int,int>
#define f(i,a,b) for(ll i = a;i < b;i++)
#define pb push_back
#define vll vector<ll>
#define F first
#define S second
#define all(x) (x).begin(), (x).end()
///I hope I will get uprating and don't make mistakes
///I will never stop programming
///sqrt(-1) Love C++
///Please don't hack me
///@TheofanisOrfanou Theo830
///Think different approaches (bs,dp,greedy,graphs,shortest paths,mst)
///Stay Calm
///Look for special cases
///Beware of overflow and array bounds
///Think the problem backwards
///Training
vector<vector<ll> >adj;
int DistanceSum(int N, int *X, int *Y){
ll n = N;
adj.assign(n,vll());
f(i,0,n){
f(j,i+1,n){
if(abs(X[i] - X[j]) + abs(Y[i] - Y[j]) == 1){
adj[i].pb(j);
adj[j].pb(i);
}
}
}
long long ans = 0;
f(i,0,n){
queue<ll>q;
bool v[n] = {0};
v[i] = 1;
ll dist[n] = {0};
q.push(i);
while(!q.empty()){
ll f = q.front();
q.pop();
for(auto x:adj[f]){
if(!v[x]){
dist[x] = dist[f] + 1;
if(x > i){
ans += dist[x];
ans %= INF;
}
v[x] = 1;
q.push(x);
}
}
}
}
return ans;
}
/*
#define inbuf_len 1 << 16
#define outbuf_len 1 << 16
int DistanceSum(int N, int *X, int *Y);
int main() {
int tmp;
char *inbuf, *outbuf;
inbuf = (char*) malloc(inbuf_len * sizeof(char));
outbuf = (char*) malloc(outbuf_len * sizeof(char));
tmp = setvbuf(stdin, inbuf, _IOFBF, inbuf_len);
assert(tmp == 0);
tmp = setvbuf(stdout, outbuf, _IOFBF, outbuf_len);
assert(tmp == 0);
int N, i;
tmp = scanf("%d", &N);
assert(tmp == 1);
int *sq_x, *sq_y;
sq_x = (int*) malloc(N * sizeof(int));
sq_y = (int*) malloc(N * sizeof(int));
for (i = 0; i < N; i++) {
tmp = scanf("%d %d", &sq_x[i], &sq_y[i]);
assert(tmp == 2);
}
int ds = DistanceSum(N, sq_x, sq_y);
printf("%d\n", ds);
return 0;
}
*/
/*
11
2 5
2 6
3 3
3 6
4 3
4 4
4 5
4 6
5 3
5 4
5 6
*/
