#![allow(dead_code)] #![allow(unused_imports)] #![allow(unused_macros)] use std::cmp::*; use std::fmt::*; use std::hash::*; use std::io::BufRead; use std::iter::FromIterator; use std::*; use std::{cmp, collections, fmt, io, iter, ops, str}; const INF: i64 = 1223372036854775807; const UINF: usize = INF as usize; const LINF: i64 = 2147483647; const INF128: i128 = 1223372036854775807000000000000; const MOD1: i64 = 1000000007; const MOD9: i64 = 998244353; const MOD: i64 = MOD9; const UMOD: usize = MOD as usize; const M_PI: f64 = 3.14159265358979323846; use cmp::Ordering::*; use std::collections::*; use std::io::stdin; use std::io::stdout; use std::io::Write; macro_rules! p { ($x:expr) => { println!("{}", $x); }; } macro_rules! vp { ($x:expr) => { println!( "{}", $x.iter() .map(|x| x.to_string()) .collect::>() .join(" ") ); }; } macro_rules! d { ($x:expr) => { eprintln!("{:?}", $x); }; } macro_rules! yn { ($val:expr) => { if $val { println!("Yes"); } else { println!("No"); } }; } macro_rules! map{ ($($key:expr => $val:expr),*) => { { let mut map = ::std::collections::BTreeMap::new(); $( map.insert($key, $val); )* map } }; } macro_rules! set{ ($($key:expr),*) => { { let mut set = ::std::collections::BTreeSet::new(); $( set.insert($key); )* set } }; } #[allow(dead_code)] fn read() -> T { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); s.trim().parse().ok().unwrap() } #[allow(dead_code)] fn read_vec() -> Vec { read::() .split_whitespace() .map(|e| e.parse().ok().unwrap()) .collect() } #[allow(dead_code)] fn read_mat(n: usize) -> Vec> { (0..n).map(|_| read_vec()).collect() } #[allow(dead_code)] fn readii() -> (i64, i64) { let mut vec: Vec = read_vec(); (vec[0], vec[1]) } #[allow(dead_code)] fn readiii() -> (i64, i64, i64) { let mut vec: Vec = read_vec(); (vec[0], vec[1], vec[2]) } #[allow(dead_code)] fn readuu() -> (usize, usize) { let mut vec: Vec = read_vec(); (vec[0], vec[1]) } #[allow(dead_code)] fn readff() -> (f64, f64) { let mut vec: Vec = read_vec(); (vec[0], vec[1]) } fn readcc() -> (char, char) { let mut vec: Vec = read_vec(); (vec[0], vec[1]) } fn readuuu() -> (usize, usize, usize) { let mut vec: Vec = read_vec(); (vec[0], vec[1], vec[2]) } #[allow(dead_code)] fn readiiii() -> (i64, i64, i64, i64) { let mut vec: Vec = read_vec(); (vec[0], vec[1], vec[2], vec[3]) } #[allow(dead_code)] fn readuuuu() -> (usize, usize, usize, usize) { let mut vec: Vec = read_vec(); (vec[0], vec[1], vec[2], vec[3]) } fn gcd(a: i64, b: i64) -> i64 { if b == 0 { a } else { gcd(b, a % b) } } fn square_of_three_points(x1: i64, y1: i64, x2: i64, y2: i64, x3: i64, y3: i64) -> i64 { let a = x1 - x2; let b = y1 - y2; let c = x1 - x3; let d = y1 - y3; return (a * d - b * c).abs(); } fn solve() { let (d, x, y) = readuuu(); let x = x as i64; let y = y as i64; let g = gcd(x.abs(), y.abs()); let a = -1 * y / g; let b = x / g; let d = d as i64; let mut res = 0; let f = |k: i64| -> bool { let xx = a * k + x; let yy = b * k + y; return (xx >= 0 && xx <= d && yy >= 0 && yy <= d); }; let mut ok = 0; let mut ng = LINF; while (ng - ok).abs() > 1 { let mid = (ok + ng) / 2; if f(mid) { ok = mid; } else { ng = mid; } } let xx = a * ok + x; let yy = b * ok + y; let s1 = square_of_three_points(0, 0, x, y, xx, yy); // dbg!(xx, yy, ok, s1); if s1 > 0 { res = max(res, s1); } let g = |k: i64| -> bool { let xx = -1 * a * k + x; let yy = -1 * b * k + y; return (xx >= 0 && xx <= d && yy >= 0 && yy <= d); }; let mut ok = 0; let mut ng = LINF; while (ng - ok).abs() > 1 { let mid = (ok + ng) / 2; if g(mid) { ok = mid; } else { ng = mid; } } let xx = -1 * a * ok + x; let yy = -1 * b * ok + y; let s2 = square_of_three_points(0, 0, x, y, xx, yy); // dbg!(xx, yy, ok, s2); if s2 > 0 { res = max(res, s2); } p!(res); return; } fn main() { let n: usize = read(); for i in 0..n { solve(); } return; }