use std::io::Write; fn run() { input! { n: u64, m: u64, p: u64, q: usize, ask: [(u64, u64); q], } let pow = |mut r: u64, mut n: u64| -> u64 { let mut t = 1 % p; while n > 0 { if n & 1 == 1 { t = t * r % p; } r = r * r % p; n >>= 1; } t }; let inv = |a: u64| { let a = a % p; assert!(a != 0); pow(a, p - 2) }; let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); for (x, f) in ask { let x = x % p; let ans = if x == 0 { if f == 0 { m } else { 0 } } else { let y = f * inv(x) % p; let mut res = m / p; if y > 0 && y <= m % p { res += 1; } res }; writeln!(out, "{}", ans).ok(); } } fn main() { run(); } // ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 #[macro_export] macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } #[macro_export] macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } #[macro_export] macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::>() }; ($iter:expr, bytes) => { read_value!($iter, String).bytes().collect::>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } // ---------- end input macro ----------