use std::io::Write; //use std::io::*; //use std::str::FromStr; /* //use std::num; //use std::cmp; //use std::collections::VecDeque; //use std::io::{self, BufRead}; const LOW_CASE_ALPHABET: [char; 26] = [ 'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z', ]; */ 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(); } #[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") }; } /* let mut temp = String::new(); std::io::stdin().read_line(&mut temp).ok(); let temp = temp .trim() .chars() .map(|c| c as usize - '0' as usize) .collect::>(); let mut iter = temp.iter(); // イテレータを取得 let a: isize = *iter.next().unwrap() as isize; let b: isize = *iter.next().unwrap() as isize; let c: isize = *iter.next().unwrap() as isize; */ /* pub fn quicksort(numbers: &mut Vec) { if numbers.len() <= 1 { return; } let pivot = numbers.pop().unwrap(); let mut lesser = Vec::new(); let mut greater = Vec::new(); for num in numbers.iter() { if *num >= pivot { lesser.push(*num); } else { greater.push(*num); } } quicksort(&mut lesser); quicksort(&mut greater); numbers.clear(); numbers.extend(lesser); numbers.push(pivot); numbers.extend(greater); } pub fn is_leap_year(year: isize) -> bool { if ((year % 4 == 0) && (year % 100 != 0)) || (year % 400 == 0) { return true; } else { return false; } } pub fn ctoi(c: char) -> isize { let n = c as isize - '0' as isize; return n; } pub fn stoi(c: String) -> isize { let n = c.parse::().unwrap(); return n; } pub fn find_char(sentence: Vec, target: char, start: isize) -> isize { for _i in start as usize..sentence.len() { if sentence[_i] == target { return _i as isize; } } return -1; } pub fn hex_to_binary(hex_string: &str, x: u32) -> Option { match i64::from_str_radix(hex_string, x) { Ok(decimal) => Some(format!("{}", decimal)), Err(_) => None, } } pub fn my_floor(x: f64) -> f64 { let rounded = (x * 1000.0).floor() / 1000.0; rounded } pub fn upper_lower(x: char) -> char { let result: char; if x.is_uppercase() { result = x.to_ascii_lowercase(); } else if x.is_lowercase() { result = x.to_ascii_uppercase(); } else { result = x; } result } pub fn maxf_2(x: f64, y: f64) -> f64 { let result; if x >= y { result = x; } else { result = y; } result } pub fn max_2(x: isize, y: isize) -> isize { let result; if x >= y { result = x; } else { result = y; } result } pub fn max_u_2(x: usize, y: usize) -> usize { let result; if x >= y { result = x; } else { result = y; } result } pub fn min_u_2(x: usize, y: usize) -> usize { let result; if x <= y { result = x; } else { result = y; } result } pub fn min_2(x: isize, y: isize) -> isize { let result; if x >= y { result = y; } else { result = x; } result } pub fn min_2_i32(x: i32, y: i32) -> i32 { let result; if x >= y { result = y; } else { result = x; } result } pub fn max_3(x: isize, y: isize, z: isize) -> isize { let result; if x >= y && y >= z { result = x; } else if x >= z && z >= y { result = x; } else if y >= x && x >= z { result = y; } else if y >= z && z >= x { result = y; } else if z >= x && x >= y { result = z; } else { result = z; } result } pub fn max_u_3(x: usize, y: usize, z: usize) -> usize { let result; if x >= y && y >= z { result = x; } else if x >= z && z >= y { result = x; } else if y >= x && x >= z { result = y; } else if y >= z && z >= x { result = y; } else if z >= x && x >= y { result = z; } else { result = z; } result } pub fn min_3(x: isize, y: isize, z: isize) -> isize { let result; if x <= y && y <= z { result = x; } else if x <= z && z <= y { result = x; } else if y <= x && x <= z { result = y; } else if y <= z && z <= x { result = y; } else if z <= x && x <= y { result = z; } else { result = z; } result } pub fn min_u_3(x: usize, y: usize, z: usize) -> usize { let result; if x <= y && y <= z { result = x; } else if x <= z && z <= y { result = x; } else if y <= x && x <= z { result = y; } else if y <= z && z <= x { result = y; } else if z <= x && x <= y { result = z; } else { result = z; } result } pub fn read_text() -> String { let mut word = String::new(); std::io::stdin().read_line(&mut word).ok(); let answer = word.trim().to_string(); answer } pub fn read_array() -> Vec { let array: String = read(); let chars: Vec = array.trim().chars().collect::>(); chars } pub fn read() -> T { let stdin = stdin(); let stdin = stdin.lock(); let token: String = stdin .bytes() .map(|c| c.expect("failed to read char") as char) .skip_while(|c| c.is_whitespace()) .take_while(|c| !c.is_whitespace()) .collect(); token.parse().ok().expect("failed to parse token") } */