#include #include #include #include namespace mp = boost::multiprecision; using Bint = mp::cpp_int; using namespace std; using namespace atcoder; #define rep(i, n) for(int i=0;i<(n);++i) #define rep1(i, n) for(int i=1;i<=(n);i++) #define ll long long using mint = modint998244353; using P = pair; using lb = long double; using T = tuple; #ifdef LOCAL # include # define dbg(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define dbg(...) (static_cast(0)) #endif // 返り値: a と b の最大公約数 // ax + by = gcd(a, b) を満たす (x, y) が格納される long long extGCD(long long a, long long b, long long &x, long long &y) { if (b == 0) { x = 1; y = 0; return a; } long long d = extGCD(b, a%b, y, x); y -= a/b * x; return d; } //aのmod mでの逆元を求める long long mod_inverse(long long a, long long m) { long long x, y; extGCD(a, m, x, y); return (m + x % m) % m; } int main() { int t; cin >> t; while(t--) { ll n, m; cin >> n >> m; ll g = gcd(n,(ll)1e9); m = -m+1e9; if(m%g) { cout << -1 << endl; continue; } ll x, y; ll G = extGCD(n,1e9,x,y); x *= m/g; y *= m/g; x = (x%(int)1e9+(int)1e9)%(int)1e9; cout << x << endl; } return 0; }