using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static long[] NList => ReadLine().Split().Select(long.Parse).ToArray(); public static void Main() { Solve(); } static void Solve() { var t = NN; var ans = new long[t]; for (var u = 0; u < t; ++u) { var c = NList; var (n, m) = (c[0], c[1]); var d = 1_000_000_000; m %= d; var ex = XGcd(n, d); if ((d - m) % ex.g == 0) { var dx = d / ex.g; if (ex.x < 0) ans[u] = (ex.x + (-ex.x * d)) % dx * (d - m) % dx; else ans[u] = ex.x * (d - m) % dx; } else ans[u] = -1; } WriteLine(string.Join("\n", ans)); } static long GCD(long a, long b) { if (a < b) return GCD(b, a); if (a % b == 0) return b; else return GCD(b, a % b); } // 拡張ユークリッド互除法 ax + by = gcd(a, b) を満たす x, y を求める static (long g, long x, long y) XGcd(long a, long b) { long x0 = 1, y0 = 0, x1 = 0, y1 = 1; while (b != 0) { var q = a / b; var prevA = a; a = b; b = prevA % b; var prevX0 = x0; var prevY0 = y0; x0 = x1; x1 = prevX0 - q * x1; y0 = y1; y1 = prevY0 - q * y1; } return (a, x0, y0); } }