// May this submission get accepted!

#pragma GCC optimize ("O3")
#pragma GCC target ("tune=native")
#pragma GCC target ("avx")

#include <bits/stdc++.h>

// 汎用マクロ
#define ALL_OF(x) (x).begin(), (x).end()
#define REP(i,n) for (long long i=0, i##_len=(n); i<i##_len; i++)
#define RANGE(i,is,ie) for (long long i=(is), i##_end=(ie); i<=i##_end; i++)
#define DSRNG(i,is,ie) for (long long i=(is), i##_end=(ie); i>=i##_end; i--)
#define STEP(i, is, ie, step) for (long long i=(is), i##_end=(ie), i##_step = (step); i<=i##_end; i+=i##_step)
#define UNIQUE(v) do { sort((v).begin(), (v).end()); (v).erase(unique((v).begin(), (v).end()), (v).end()); } while (false)
template<class T> bool chmax(T &a, const T &b) { if (a < b) {a = b; return true;} return false; }
template<class T> bool chmin(T &a, const T &b) { if (a > b) {a = b; return true;} return false; }
#define INF 0x7FFFFFFF
#define LINF 0x7FFFFFFFFFFFFFFFLL
#define Yes(q) ((q) ? "Yes" : "No")
#define YES(q) ((q) ? "YES" : "NO")
#define Possible(q) ((q) ? "Possible" : "Impossible")
#define POSSIBLE(q) ((q) ? "POSSIBLE" : "IMPOSSIBLE")
#define DUMP(q) cerr << "[DEBUG] " #q ": " << (q) << " at " __FILE__ ":" << __LINE__ << endl
#define DUMPALL(q) do { cerr << "[DEBUG] " #q ": ["; REP(DUMPALL_ITR, (q).size()) { cerr << (q)[DUMPALL_ITR] << (DUMPALL_ITR == DUMPALL_ITR_len-1 ? "" : ", "); } cerr << "] at " __FILE__ ":" << __LINE__ << endl; } while (false)
template<class T> T gcd(T a, T b) { if (a < b) std::swap(a, b); while (b) std::swap(a %= b, b); return a; }
template<class T> T lcm(const T a, const T b) { return a / gcd(a, b) * b; }

// gcc拡張マクロ
#define popcount __builtin_popcount
#define popcountll __builtin_popcountll

// エイリアス
#define DANCE_ long
#define ROBOT_ unsigned
#define HUMAN_ signed
using  ll = DANCE_ HUMAN_ DANCE_;
using ull = DANCE_ ROBOT_ DANCE_;
using  ld = long double;
using namespace std;

// モジュール

// Union-Find モジュール
struct union_find {
    vector<ull> par;
    vector<ull> num;
    union_find(ull n) : par(n, 0), num(n, 1) { iota(ALL_OF(par), 0); }
    ull root(ull i) { return par[i] == i ? i : (par[i] = root(par[i])); }
    bool same(ull i, ull j) { return root(i) == root(j); }
    void unite(ull i, ull j) {
        ull ri = root(i);
        ull rj = root(j);
        if (ri != rj) {
            if (num[ri] > num[rj]) swap(ri, rj);
            par[ri] = rj;
            num[rj] += num[ri];
        }
    }
};

// 処理内容
int main() {
    
    // インタラクティブ問題では除去した方がいいかも
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    
    ll n; cin >> n;
    vector<pair<ll, ll>> x(n);
    REP(i, n) {
        cin >> x[i].first >> x[i].second;
    }
    
    if (n == 1) {
        cout << 1 << endl;
        return 0;
    }

    vector<pair<ll, ll>> cand; cand.reserve(n * (n - 1) / 2);
    REP(i, n) {
        REP(j, i) {
            ll dx = x[i].first  - x[j].first;
            ll dy = x[i].second - x[j].second;
            if (dx < 0) {
                dx *= -1;
                dy *= -1;
            }
            cand.emplace_back(dx, dy);
        }
    }
    UNIQUE(cand);

    ll ans = INF;
    REP(k, cand.size()) {
        union_find uf(n);
        REP(i, n) {
            REP(j, n) if (i != j) {
                ll dx = x[i].first  - x[j].first;
                ll dy = x[i].second - x[j].second;
                if (make_pair(dx, dy) == cand[k]) {
                    uf.unite(i, j);
                }
            }
        }
        REP(i, n) uf.root(i);
        auto v = uf.par;
        UNIQUE(v);
        chmin(ans, (ll)v.size());
    }
    cout << ans << endl;
    
}

Measured memory_bytes: 256