#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 #include /* template start */ using i64 = std::int_fast64_t; using u64 = std::uint_fast64_t; #define rep(i, a, b) for (i64 i = (a); (i) < (b); (i)++) #define all(i) i.begin(), i.end() #ifdef LOCAL #define debug(...) \ std::cerr << "LINE: " << __LINE__ << " [" << #__VA_ARGS__ << "]:", \ debug_out(__VA_ARGS__) #else #define debug(...) #endif void debug_out() { std::cerr << std::endl; } template void debug_out(Head h, Tail... t) { std::cerr << " " << h; if (sizeof...(t) > 0) std::cout << " :"; debug_out(t...); } template std::ostream& operator<<(std::ostream& os, std::pair pa) { return os << pa.first << " " << pa.second; } template std::ostream& operator<<(std::ostream& os, std::vector vec) { for (std::size_t i = 0; i < vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : " "); return os; } template inline bool chmax(T1& a, T2 b) { return a < b && (a = b, true); } template inline bool chmin(T1& a, T2 b) { return a > b && (a = b, true); } template constexpr Num mypow(Num a, u64 b, Num id = 1) { if (b == 0) return id; Num x = id; while (b > 0) { if (b & 1) x *= a; a *= a; b >>= 1; } return x; } template std::vector> enumerate(const std::vector& data) { std::vector> ret; for (std::size_t index = 0; index < data.size(); index++) ret.emplace_back(index, data[index]); return ret; } /* template end */ i64 extgcd(i64 a, i64 b, i64& x, i64& y) { for (i64 u = y = 1, v = x = 0; a;) { i64 q = b / a; std::swap(x -= q * u, u); std::swap(y -= q * v, v); std::swap(b -= q * a, a); } return b; } int main() { std::cin.tie(nullptr); std::ios::sync_with_stdio(false); i64 a, b; std::cin >> a >> b; a = std::abs(a); b = std::abs(b); if(a==0&&b==0){ std::cout<<0.25<<"\n"; return 0; } if (a == 0 || b == 0) { if (b != 0) std::swap(a, b); long double ans = 0.0l; rep(n, 1, 101) { rep(m, 1, 101) { if((n-1)%a!=0||(m-1)%a!=0)continue; ans += mypow(1.0l / (n + m), n + m); } } std::cout << std::setprecision(19) << ans << "\n"; return 0; } i64 g = std::gcd(a, b); long double ans = 0.0l; rep(n, 1, 101) { rep(m, 1, 101) { if ((n - 1) % g != 0 || (m - 1) % g != 0) continue; i64 s, t, u, v; extgcd(a, b, s, t); s = (s + 2000000000000000000l) % 2; t = (t + 2000000000000000000l) % 2; u = s; v = t; s *= ((n - 1) / g) % 2; t *= ((n - 1) / g) % 2; u *= ((m - 1) / g) % 2; v *= ((m - 1) / g) % 2; if ((s + t) % 2 == (u + v) % 2) { ans += mypow(1.0l / (n + m), n + m); } else if ((a - b + 2000000000000000000l) % 2 == 1) { ans += mypow(1.0l / (n + m), n + m); } } } std::cout << std::setprecision(19) << ans << "\n"; return 0; }