#include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } /** * ax + by = gcd(a, b)を満たす(x, y)をつめて、gcd(a, b)を返します。 */ template T extGCD(T a, T b, T &x, T &y) { if (b == 0) { x = 1; y = 0; return a; } T d = extGCD(b, a%b, y, x); y -= a/b * x; return d; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; ll p, q; cin >> p >> q; ll a, b; extGCD(p, q, a, b); a %= q; a += q; a %= q; b = (a*(q-1))%q; ll c = (a*p-1)/q; ll g = gcd(a, c); a /= g; c /= g; ll d = (b*p+1)/q; g = gcd(b, d); b /= g; d /= g; cout << a+b+c+d << endl; }