#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep1(a) for(int i = 0; i < a; i++) #define rep2(i, a) for(int i = 0; i < a; i++) #define rep3(i, a, b) for(int i = a; i < b; i++) #define rep4(i, a, b, c) for(int i = a; i < b; i += c) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep1(a) for(int i = (a)-1; i >= 0; i--) #define rrep2(i, a) for(int i = (a)-1; i >= 0; i--) #define rrep3(i, a, b) for(int i = (b)-1; i >= a; i--) #define rrep4(i, a, b, c) for(int i = (b)-1; i >= a; i -= c) #define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; using vi = vector; using vl = vector; template using vc = vector; template using vvc = vector>; template using vvvc = vector>; template using vvvvc = vector>; template using vvvvvc = vector>; #define vv(type, name, h, ...) \ vector> name(h, vector(__VA_ARGS__)) #define vvv(type, name, h, w, ...) \ vector>> name( \ h, vector>(w, vector(__VA_ARGS__))) #define vvvv(type, name, a, b, c, ...) \ vector>>> name( \ a, vector>>( \ b, vector>(c, vector(__VA_ARGS__)))) template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } struct factorizer{ vector isprime; vector primes; factorizer(ll n) : isprime(sqrtl(n)+1,true){ isprime[1] = false; for(ll i = 2; i*i <= n; i++){ if(!isprime[i]) continue; primes.pb(i); for(ll j = i+i; j*j <=n; j += i){ isprime[j] = false; } } } vector> factorize(ll n){ vector> res; for(ll p : primes){ /* if(p * p > n) break; */ int e = 0; while(n%p == 0){ n /= p; e++; } if(e > 0) res.pb({p,e}); } if(n > 1) res.pb({n,1}); return res; } vector divisors(ll n){ vector res({1}); const auto& pf = factorize(n); for(auto x : pf){ int s = res.size(); rep(i,s){ ll m = 1; rep(j,x.second){ m *= x.first; res.push_back(res[i]*m); } } } return res; } }; const ll INF = 1e18; int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int t; in(t); factorizer f(1000000001); while(t--){ ll a,b; in(a,b); if(a==b) { out(0); continue; } auto v = f.divisors(b-a); ll ans = INF; for(auto m : v){ if((b-a)%m==0 and (b-a)/m>=a){ chmin(ans, (b-a)/m-a); } } out(ans == INF ? -1:ans); } }