#include using namespace std; typedef long long signed int LL; typedef long long unsigned int LU; #define incII(i, l, r) for(int i = (l) ; i <= (r); ++i) #define incID(i, l, r) for(int i = (l) ; i < (r); ++i) #define decII(i, l, r) for(int i = (r) ; i >= (l); --i) #define decID(i, l, r) for(int i = (r) - 1; i >= (l); --i) #define inc(i, n) incID(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec(i, n) decID(i, 0, n) #define dec1(i, n) decII(i, 1, n) #define inII(v, l, r) ((l) <= (v) && (v) <= (r)) #define inID(v, l, r) ((l) <= (v) && (v) < (r)) #define PB push_back #define EB emplace_back #define MP make_pair #define FI first #define SE second #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() template bool setmin (T & a, T b) { if(b < a) { a = b; return true; } else { return false; } } template bool setmax (T & a, T b) { if(b > a) { a = b; return true; } else { return false; } } template bool setmineq(T & a, T b) { if(b <= a) { a = b; return true; } else { return false; } } template bool setmaxeq(T & a, T b) { if(b >= a) { a = b; return true; } else { return false; } } LL mo(LL a, LL b) { assert(b > 0); a %= b; if(a < 0) { a += b; } return a; } LL fl(LL a, LL b) { assert(b > 0); return (a > 0 ? a / b : (a - b + 1) / b); } LL ce(LL a, LL b) { assert(b > 0); return (a < 0 ? a / b : (a + b - 1) / b); } #define bit(b, i) (((b) >> (i)) & 1) #define BC __builtin_popcountll #define SC(T, v) static_cast(v) #define SI(v) SC(int, v.size()) #define SL(v) SC( LL, v.size()) #define RF(e, v) for(auto & e: v) #define ei else if #define UR assert(false) // ---- ---- bool next_array(vector & a, const vector & b) { int d = a.size(); inc(i, d + 1) { if(i == d) { return false; } a[i]++; if(a[i] == b[i]) { a[i] = 0; } else { break; } } return true; } vector> prime_factorization(LL x) { assert(x > 0); vector> f; LL i = 2; while(true) { if(x == 1) { break; } if(i * i > x) { i = x; } if(x % i == 0) { f.EB(i, 0); while(x % i == 0) { f.back().SE++; x /= i; } } i++; } return f; } vector divisor(LL x) { assert(x > 0); auto f = prime_factorization(x); LL fs = f.size(); vector a(fs), b(fs); inc(i, fs) { b[i] = f[i].SE + 1; } vector g; do { LL v = 1; inc(i, fs) { inc(j, a[i]) { v *= f[i].FI; } } g.PB(v); } while(next_array(a, b)); sort(ALL(g)); return g; } LL a, b; int main() { cin >> a >> b; auto x = divisor(a + b); LL ans = -1; RF(e, x) { if((a + e) % b == 0 && (b + e) % a == 0) { ans = e; break; } } cout << ans << endl; return 0; }