pub fn read() -> T { use std::io::Read; std::io::stdin() .lock() .by_ref() .bytes() .map(|c| c.unwrap() as char) .skip_while(|c| c.is_whitespace()) .take_while(|c| !c.is_whitespace()) .collect::() .parse::() .ok() .unwrap() } pub fn extgcd(a: i64, b: i64) -> (i64, i64, i64) { if b == 0 { return if a < 0 { (-a, -1, 0) } else { (a, 1, 0) }; } let (g, s, t) = extgcd(b, a % b); (g, t, s - a / b * t) } pub fn crt(mr: &[(i64, i64)]) -> Option<(i64, i64)> { let (mut m, mut r) = (1, 0); for &(mut m1, mut r1) in mr.iter() { assert!(m1 > 0); // r1 %= m1; r1 = r1.rem_euclid(m1); use std::mem::swap; if m < m1 { swap(&mut m, &mut m1); swap(&mut r, &mut r1); } if m % m1 == 0 { if r % m1 != r1 { return None; } // continue; } let (g, inv_u, _) = extgcd(m, m1); if (r1 - r) % g != 0 { return None; } let u1 = m1 / g; let x = (r1 - r) / g % u1 * inv_u % u1; dbg!(x, r1, r); r += x * m; m *= u1; if r < 0 { r += m; } assert!(0 <= r && r < m); dbg!(r, m); } if r < 0 { r += m; } assert!(0 <= r && r < m); Some((m, r)) } pub fn main() { use std::io::Write; let out = std::io::stdout(); let writer = &mut std::io::BufWriter::new(out.lock()); let mr: Vec<_> = (0..3) .map(|_| { let r: i64 = read(); let m: i64 = read(); (m, r) }) .collect(); if let Some((m, mut r)) = crt(&mr) { if r == 0 { r += m; } writeln!(writer, "{}", r).unwrap(); } else { writeln!(writer, "{}", -1).unwrap(); } }