using System; using System.IO; using System.Collections.Generic; using System.Globalization; using System.Linq; using System.Text; public struct Fraction : IComparable { public long Numerator { get; private set; } public long Denominator { get; private set; } static long Gcd(long s, long t) { return t != 0 ? Gcd(t, s % t) : Math.Abs(s); } static long Lcm(long s, long t) { return s / Gcd(s, t) * t; } void Reduce() { if (Denominator < 0) { Numerator = -Numerator; Denominator = -Denominator; } if (Numerator == 0) Denominator = 1; else { long g = Gcd(Numerator, Denominator); Numerator /= g; Denominator /= g; } } public Fraction(long a, long b = 1) : this() { this.Numerator = a; this.Denominator = b; Reduce(); } public static implicit operator double(Fraction r) { return r.Numerator * 1.0 / r.Denominator; } public static Fraction operator +(Fraction f1, Fraction f2) { long lcm = Lcm(f1.Denominator, f2.Denominator); return new Fraction(f1.Numerator * (lcm / f1.Denominator) + f2.Numerator * (lcm / f2.Denominator), lcm); } public static Fraction operator -(Fraction f1, Fraction f2) { long lcm = Lcm(f1.Denominator, f2.Denominator); return new Fraction(f1.Numerator * (lcm / f1.Denominator) - f2.Numerator * (lcm / f2.Denominator), lcm); } public static Fraction operator *(Fraction f1, Fraction f2) { return new Fraction(f1.Numerator * f2.Numerator, f1.Denominator * f2.Denominator); } public static Fraction operator /(Fraction f1, Fraction f2) { return new Fraction(f1.Numerator * f2.Denominator, f1.Denominator * f2.Numerator); } public static Fraction operator -(Fraction f) { return new Fraction(-f.Numerator, f.Denominator); } public int CompareTo(Fraction f) { return (this.Numerator * f.Denominator).CompareTo(f.Numerator * this.Denominator); } public static bool operator <(Fraction f1, Fraction f2) { return f1.CompareTo(f2) < 0; } public static bool operator <=(Fraction f1, Fraction f2) { return f1.CompareTo(f2) <= 0; } public static bool operator ==(Fraction f1, Fraction f2) { return f1.CompareTo(f2) == 0; } public static bool operator >(Fraction f1, Fraction f2) { return f1.CompareTo(f2) > 0; } public static bool operator >=(Fraction f1, Fraction f2) { return f1.CompareTo(f2) >= 0; } public static bool operator !=(Fraction f1, Fraction f2) { return f1.CompareTo(f2) != 0; } public override string ToString() { return String.Format("{0}/{1}", Numerator, Denominator); } public override bool Equals(object obj) { if (obj == null) return false; var instance = (Fraction)obj; return this == instance; } public override int GetHashCode() { return Numerator.GetHashCode() ^ Denominator.GetHashCode(); } } partial class Solver { static public long Gcd(long s, long t) { return t != 0 ? Gcd(t, s % t) : s; } static public long Lcm(long s, long t) { return s / Gcd(s, t) * t; } Fraction Position(long T, long a, long b) { T *= b; a %= T; if (a * 2 <= T) { // a <= T / 2 return new Fraction(a) / new Fraction(T, 2); } else { a = T - a; return new Fraction(a) / new Fraction(T, 2); } } public void Run() { var t1 = ni(); var t2 = ni(); var t3 = ni(); var lcm = Lcm(Lcm(t1, t2), t3); Fraction ans = new Fraction(1000000000000000000L); for (int i = 1; i < 1000000; i++) { var p1 = Position(t1, lcm, i); var p2 = Position(t2, lcm, i); if (p1 != p2) continue; var p3 = Position(t3, lcm, i); if (p1 == p2 && p2 == p3) { ans = new Fraction(lcm, i); } } cout.WriteLine("{0}/{1}", ans.Numerator, ans.Denominator); } } // PREWRITEN CODE BEGINS FROM HERE partial class Solver : Scanner { public static void Main(string[] args) { new Solver(Console.In, Console.Out).Run(); } TextReader cin; TextWriter cout; public Solver(TextReader reader, TextWriter writer) : base(reader) { this.cin = reader; this.cout = writer; } public Solver(string input, TextWriter writer) : this(new StringReader(input), writer) { } public int ni() { return NextInt(); } public int[] ni(int n) { return NextIntArray(n); } public long nl() { return NextLong(); } public long[] nl(int n) { return NextLongArray(n); } public double nd() { return NextDouble(); } public string ns() { return Next(); } public string[] ns(int n) { return NextArray(n); } } public class Scanner { private TextReader Reader; private Queue TokenQueue = new Queue(); private CultureInfo ci = CultureInfo.InvariantCulture; public Scanner() : this(Console.In) { } public Scanner(TextReader reader) { this.Reader = reader; } public int NextInt() { return Int32.Parse(Next(), ci); } public long NextLong() { return Int64.Parse(Next(), ci); } public double NextDouble() { return double.Parse(Next(), ci); } public string[] NextArray(int size) { var array = new string[size]; for (int i = 0; i < size; i++) array[i] = Next(); return array; } public int[] NextIntArray(int size) { var array = new int[size]; for (int i = 0; i < size; i++) array[i] = NextInt(); return array; } public long[] NextLongArray(int size) { var array = new long[size]; for (int i = 0; i < size; i++) array[i] = NextLong(); return array; } public String Next() { if (TokenQueue.Count == 0) { if (!StockTokens()) throw new InvalidOperationException(); } return TokenQueue.Dequeue(); } public bool HasNext() { if (TokenQueue.Count > 0) return true; return StockTokens(); } private bool StockTokens() { while (true) { var line = Reader.ReadLine(); if (line == null) return false; var tokens = line.Trim().Split(" ".ToCharArray(), StringSplitOptions.RemoveEmptyEntries); if (tokens.Length == 0) continue; foreach (var token in tokens) TokenQueue.Enqueue(token); return true; } } }