#include<bits/stdc++.h> #include<atcoder/math> using namespace std; using ll=long long; #define all(v) v.begin(),v.end() #define rall(v) v.rbegin(),v.rend() template<class T> bool chmax(T &a, T b){if (a < b){a = b;return true;} else return false;} template<class T> bool chmin(T &a, T b){if (a > b){a = b;return true;} else return false;} int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int T; cin>>T; while(T--){ ll MOD=1'000'000'000; ll N,M; cin>>N>>M; N%=MOD; M%=MOD; if(N==0){ if(M==0)cout<<1<<"\n"; else cout<<-1<<"\n"; continue; } ll g=gcd(N,MOD); if(M%g!=0)cout<<-1<<"\n"; else{ N/=g; M/=g; MOD/=g; ll inv=atcoder::inv_mod(N,MOD); ll ans=(inv*(MOD-M))%MOD; if(ans==0)ans+=MOD; cout<<ans<<"\n"; } } }