#include<bits/stdc++.h> namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include<atcoder/all> #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template<class T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template<class T> bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair<int,int>; using VI = vector<int>; using VVI = vector<VI>; using VL = vector<ll>; using VVL = vector<VL>; int solve() { ll n, m; cin >> n >> m; int mod = 1e9; n %= mod, m %= mod; if (m) m = mod - m; int g = gcd(n, mod); if (m % g) return -1; n /= g, m /= g, mod /= g; auto [gx, x] = internal::inv_gcd(n, mod); assert(gx == 1); int k = (ll)m * x % mod; if (k == 0) k = mod; return k; } } int main() { ios::sync_with_stdio(false); cin.tie(0); int tt; cin >> tt; while (tt--) { cout << solve() << '\n'; } }