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 <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
vector<ll> dx = {1,-1,0,0};
vector<ll> dy = {0,0,1,-1};
void solve(int test_case)
{
ll n; cin >> n;
vector<pll> a(n+5);
rep1(i,n) cin >> a[i].ff >> a[i].ss;
vector<bool> vis(n+5);
ll ans = 0;
rep(dir,4){
queue<array<ll,3>> q;
fill(all(vis),0);
q.push({1,0,dir});
vis[1] = 1;
while(!q.empty()){
auto [i,t,d1] = q.front();
q.pop();
auto [x1,y1] = a[i];
rep1(j,n){
if(vis[j]) conts;
auto [x2,y2] = a[j];
// x1+dx[d1]*k = x2+dx[d2]*k
// y1+dy[d1]*k = y2+dy[d2]*k
rep(d2,4){
if(dx[d1] == dx[d2] or dy[d1] == dy[d2]) conts;
ll k1 = abs(2*(x2-x1)/(dx[d1]-dx[d2]));
ll k2 = abs(2*(y2-y1)/(dy[d1]-dy[d2]));
if(k1 == k2){
if(k1 > t){
q.push({j,k1,d2});
vis[j] = 1;
}
}
}
}
}
ll cnt = count(all(vis),1);
amax(ans,cnt);
}
cout << ans << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
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