#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; use std::io::{Write, BufWriter}; // 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, chars) => { read_value!($next, String).chars().collect::>() }; ($next:expr, usize1) => { read_value!($next, usize) - 1 }; ($next:expr, [ $t:tt ]) => {{ let len = read_value!($next, usize); (0..len).map(|_| read_value!($next, $t)).collect::>() }}; ($next:expr, $t:ty) => { $next().parse::<$t>().expect("Parse error") }; } fn gcd(mut x: i64, mut y: i64) -> i64 { while y != 0 { let r = x % y; x = y; y = r; } x } fn rem(mut a: i64, b: i64) -> i64 { assert!(b > 0); a %= b; if a < 0 { a += b; } a } fn solve() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts { ($($format:tt)*) => (write!(out,$($format)*).unwrap()); } input! { a: i64, b: i64, c: i64, d: i64, xy: [(i64, i64)], } let det = (a * d - b * c).abs(); if det == 0 { // degenerate let e = gcd(a, c); let f = gcd(b, d); let mut hs = HashSet::new(); for &(x, y) in &xy { let (x, y) = (x * f - y * e, x * e + y * f); let y = rem(y, f * f + e * e); hs.insert((x, y)); } puts!("{}\n", hs.len()); return; } let mut hs = HashSet::new(); for &(x, y) in &xy { let (x, y) = (x * d - y * c, -x * b + y * a); let x = rem(x, det); let y = rem(y, det); hs.insert((x, y)); } puts!("{}\n", hs.len()); } fn main() { // In order to avoid potential stack overflow, spawn a new thread. let stack_size = 104_857_600; // 100 MB let thd = std::thread::Builder::new().stack_size(stack_size); thd.spawn(|| solve()).unwrap().join().unwrap(); }