use std::cmp::*; // https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { ($($r:tt)*) => { let stdin = std::io::stdin(); let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); let mut next = move || -> String{ bytes.by_ref().map(|r|r.unwrap() as char) .skip_while(|c|c.is_whitespace()) .take_while(|c|!c.is_whitespace()) .collect() }; input_inner!{next, $($r)*} }; } macro_rules! input_inner { ($next:expr) => {}; ($next:expr,) => {}; ($next:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($next, $t); input_inner!{$next $($r)*} }; } macro_rules! read_value { ($next:expr, ( $($t:tt),* )) => { ($(read_value!($next, $t)),*) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } // https://yukicoder.me/problems/no/2331 (3) // 対角線を固定して、残り 2 点をその対角線から最も離れている点にすれば良い。 // 計算量は O(N^3)。 fn main() { input! { n: usize, xy: [(i64, i64); n], } let mut ans = 0; for i in 0..n { let (a, b) = xy[i]; for j in 0..i { let (c, d) = xy[j]; let c = c - a; let d = d - b; const INF: i64 = 1 << 60; let mut mi = INF; let mut ma = -INF; for k in 0..n { if k == i || k == j { continue; } let (x, y) = xy[k]; let x = x - a; let y = y - b; mi = min(mi, c * y - d * x); ma = max(ma, c * y - d * x); } ans = max(ans, ma - mi); } } println!("{}", ans); }