import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } enum LIM = 1000; void main() { try { for (; ; ) { const A = abs(readLong()); const B = abs(readLong()); const d = gcd(A, B); real[] summands; if (d == 0) { summands ~= pow(2.0L, -2.0L); } else { const odd = (A / d % 2 != 0 && B / d % 2 != 0); foreach (i; 0 .. LIM / d + 1) { if (odd && i % 2 != 0) { continue; } const real r = 2 + d * i; debug { writeln(i, " ", r); } summands ~= (i + 1) * pow(r, -r); } } const ans = summands.sum; writefln("%.12f", ans); } } catch (EOFException e) { } }