#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
typedef long long ll;
using namespace __gnu_pbds;
using namespace std;
template <typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
ll best = 1;
struct Point {
ll x, y;
};
ll inf = 1e18;
ll solve(ll n, vector<Point> &pkt) {
// for(auto[x,y] : pkt) cout << x << " " << y << "\n";
// cout << "\n";
priority_queue<pair<ll, pair<ll, ll>>> pq; // 0-top, 1-bot, 2-right, 3-left
vector<ll> dist(n, inf);
vector<vector<ll>> vis(n, vector<ll>(4,0));
dist[0] = 0;
vis[0][0] = vis[0][1] = vis[0][2] = vis[0][3] = 1;;
pq.push({0, {0, 0}});
ll res = 0;
while(pq.size()) {
auto[dv, stat] = pq.top(); pq.pop();
dv*=-1; auto[v, k] = stat;
// cout << v << " " << k << "\n";
if(dv!=dist[v]) continue;
auto[x,y] = pkt[v]; res++;
vector<ll> przek_roz, przek_sum, X, Y;
for(ll i=0; i<n; ++i) {
if(i==v) continue;
if(pkt[i].x==x) X.push_back(i);
if(pkt[i].y==y) Y.push_back(i);
if(x-y == pkt[i].x-pkt[i].y) przek_roz.push_back(i);
if(x+y == pkt[i].x+pkt[i].y) przek_sum.push_back(i);
}
if(k < 2) {
for(auto i : X) {
ll moment = pkt[i].y - y; moment/=2;
if(k==1) moment *=-1;
if(!vis[i][k^1] && dist[i] > moment && moment >= dv) {
vis[i][k^1] = 1;
dist[i] = moment;
pq.push({-moment, {i, k^1}});
}
}
for(auto i : przek_sum) {
ll moment = pkt[i].y - y;
if(k==1) {
moment*=-1;
}
if(!vis[i][2+(k==0)] && dist[i] > moment && moment >= dv) {
vis[i][2+(k==0)] = 1;
dist[i] = moment;
pq.push({-moment, {i, 2+(k==0)}});
}
}
for(auto i : przek_roz) {
ll moment = pkt[i].y - y;
if(k==1) {
moment*=-1;
}
if(!vis[i][2+(k==0)] && dist[i] > moment && moment >= dv) {
vis[i][2+(k==0)] = 1;
dist[i] = moment;
pq.push({-moment, {i, 2+(k==0)}});
}
}
} else {
for(auto i : Y) {
ll moment = pkt[i].x - x; moment/=2;
if(k==3) moment *=-1;
if(!vis[i][k^1] && dist[i] > moment && moment >= dv) {
vis[i][k^1] = 1;
dist[i] = moment;
pq.push({-moment, {i, k^1}});
}
}
for(auto i : przek_sum) {
ll moment = pkt[i].x - x;
if(k==3) {
moment*=-1;
}
if(!vis[i][(k==3)] && dist[i] > moment && moment >= dv) {
vis[i][(k==3)] = 1;
dist[i] = moment;
pq.push({-moment, {i, (k==3)}});
}
}
for(auto i : przek_roz) {
ll moment = pkt[i].x - x;
if(k==3) {
moment*=-1;
}
if(!vis[i][(k==2)] && dist[i] > moment && moment >= dv) {
vis[i][(k==2)] = 1;
dist[i] = moment;
pq.push({-moment, {i, (k==2)}});
}
}
}
}
return res;
}
void rotate(ll n, vector<Point> &pkt) {
for(ll i=0; i<n; ++i) {
auto[x, y] = pkt[i];
pkt[i] = {-y, x};
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
ll n;
cin >> n;
vector<Point> pkt(n);
for(ll i=0; i<n; ++i) cin >> pkt[i].x >> pkt[i].y;
for(ll i=n-1; i>=0; --i) {
pkt[i].x -= pkt[0].x;
pkt[i].y -= pkt[0].y;
pkt[i].x *= 2;
pkt[i].y *= 2;
}
for(ll i=0; i<4; ++i) {
best = max(best, solve(n, pkt));
rotate(n, pkt);
}
// rotate(n, pkt);
// best = solve(n, pkt);
cout << best << "\n";
return 0;
}
