// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use proconio::input;
use std::collections::HashSet;

pub struct WeightedGraph {
  graph: Vec<Vec<(usize, i64)>>,
}

type WeightedEdge = (usize, usize, i64);
impl WeightedGraph {
  pub const INF: i64 = 1 << 60;

  pub fn new(edges: &[WeightedEdge], v: usize) -> Self {
    let mut graph = vec![Vec::new(); v];
    for &(u, v, w) in edges {
      graph[u].push((v, w));
      graph[v].push((u, w));
    }
    Self { graph }
  }

  pub fn prim(&self, s: usize) -> i64 {
    let mut used = std::collections::HashSet::new();
    let mut heap = std::collections::BinaryHeap::new();

    let mut res = 0_i64;
    heap.push(std::cmp::Reverse((0_i64, s)));
    while let Some(std::cmp::Reverse((cost, u))) = heap.pop() {
      if used.contains(&u) {
        continue;
      }
      used.insert(u);
      res += cost;
      for &(v, c) in &self.graph[u] {
        if used.contains(&v) {
          continue;
        }
        heap.push(std::cmp::Reverse((c, v)));
      }
    }
    res
  }
}

fn main() {
  input! {
    n: usize,
    xyv: [(isize, isize); n]
  };

  if n == 1 {
    println!("1");
    std::process::exit(0);
  }

  let mut pqset = HashSet::new();
  for i in 0..n {
    for j in i + 1..n {
      let p = xyv[i].0 - xyv[j].0;
      let q = xyv[i].1 - xyv[j].1;
      pqset.insert((p, q));
    }
  }
  let mut res = 1_i64 << 60;
  for (p, q) in pqset {
    let mut edges = Vec::new();
    for i in 0..n {
      for j in i + 1..n {
        let xd = xyv[i].0 - xyv[j].0;
        let yd = xyv[i].1 - xyv[j].1;
        if p == xd && q == yd || p == -xd && q == -yd {
          edges.push((i, j, 0));
        } else {
          edges.push((i, j, 1));
        }
      }
    }
    let graph = WeightedGraph::new(&edges, n);
    let d = graph.prim(0) + 1;
    if d < res {
      res = d;
    }
  }
  println!("{}", res);
}
*/

fn main() {
    let exe = "/tmp/binA2E72C13";
    std::io::Write::write_all(&mut std::fs::File::create(exe).unwrap(), &decode(BIN)).unwrap();
    std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap();
    std::process::exit(std::process::Command::new(exe).status().unwrap().code().unwrap())
}

fn decode(v: &str) -> Vec<u8> {
    let mut ret = vec![];
    let mut buf = 0;
    let mut tbl = vec![64; 256];
    for i in 0..64 { tbl[TBL[i] as usize] = i as u8; }
    for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() {
        match i % 4 {
            0 => buf = c << 2,
            1 => { ret.push(buf | c >> 4); buf = c << 4; }
            2 => { ret.push(buf | c >> 2); buf = c << 6; }
            3 => ret.push(buf | c),
            _ => unreachable!(),
        }
    }
    ret
}

const TBL: &'static [u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
const BIN: &'static str = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAEANAAAAAAABAAAAAAAAAAGDCAwAAAAAAAAAAAEAAOAAGAEAA
DwAOAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAiKIDAAAAAACIogMAAAAAAAAAIAAAAAAA
AQAAAAYAAACgpQMAAAAAAKClYwAAAAAAoKVjAAAAAAA4HAAAAAAAAKg3AAAAAAAAAAAgAAAAAAAHAAAA
BAAAAKClAwAAAAAAoKVjAAAAAACgpWMAAAAAADAAAAAAAAAA6AAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
bFYDAAAAAABsVkMAAAAAAGxWQwAAAAAAZAoAAAAAAABkCgAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAKClAwAAAAAA
oKVjAAAAAACgpWMAAAAAAGAaAAAAAAAAYBoAAAAAAAABAAAAAAAAAFBYwwAAAAAAAAAAAAAAAABBV0FW
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Measured memory_bytes: 8828