use std::io::Write;

fn read_line() -> String {
    let mut buf = String::new();
    std::io::stdin().read_line(&mut buf).unwrap();
    buf
}

fn read_u() -> usize {
    let buf = read_line();
    buf.trim_end().parse().unwrap()
}

fn read_i2t() -> (i32, i32) {
    let buf = read_line();
    let mut iter = buf.split_whitespace();
    (
        iter.next().unwrap().parse().unwrap(),
        iter.next().unwrap().parse().unwrap(),
    )
}

fn main () {
    let stdout = std::io::stdout();
    let mut writer = std::io::BufWriter::new(stdout.lock());

    let s: usize = read_u();

    let get_primes = |n: usize| -> Vec<i32> {
        let mut primes = Vec::new();
        let mut is_prime = vec![true; n + 1];
        for i in 2..=n {
            if !is_prime[i] { continue; }
            primes.push(i as i32);
            let mut j = i + i;
            while j <= n {
                is_prime[j] = false;
                j += i;
            }
        }
        primes
    };

    let primes = get_primes(100_000);

    let get_divisors = |mut n: i32| -> Vec<i32> {
        let mut divisors = vec![1];
        for &p in &primes {
            if p * p > n { break; }
            let len = divisors.len();
            let mut q = 1;
            while n % p == 0 {
                q *= p;
                n /= p;
                for i in 0..len {
                    divisors.push(q * divisors[i]);
                }
            }
        }
        if n > 1 {
            let len = divisors.len();
            for i in 0..len {
                divisors.push(n * divisors[i]);
            }
        }
        divisors
    };

    for _ in 0..s {
        let (x, y): (i32, i32) = read_i2t();

        let p = x + y;
        let q = (x - y).abs();

        let mut ans = 0;
        let divisors = get_divisors(p);
        for &i in &divisors {
            if i == 1 { continue; }
            let j = p / i;
            if i == 2 {
                if q > 0 { continue; }
                ans += j - 1;
            } else if q % (i - 2) == 0 {
                let u = j;
                let v = q / (i - 2);
                if u > v && (u + v) % 2 == 0 {
                    ans += 1;
                }
            }
        }
        writeln!(writer, "{}", ans).unwrap();
    }
}