using System; using System.Linq; using System.Collections.Generic; using Debug = System.Diagnostics.Debug; using StringBuilder = System.Text.StringBuilder; using System.Numerics; namespace Program { public class Solver { public void Solve() { var X = sc.Long(); var Y = sc.Long(); var Z = sc.Long(); var mat = new Matrix(2, 2); mat[0, 0] = mat[0, 1] = mat[1, 0] = 1; var mats = Enumerate(100, x => Matrix.Pow(mat, x)); var l = new List>(); l.Add(new KeyValuePair(1, 0)); l.Add(new KeyValuePair(0, 1)); for (int i = 0; i < 100; i++) { if (mats[i][0, 0] <= 1000000000 && mats[i][0, 1] <= 1000000000) l.Add(new KeyValuePair(mats[i][0, 0], mats[i][0, 1])); else break; } var ans = Pair.Create(long.MaxValue, long.MaxValue); var sz = l.Count; for (int i = 0; i < sz; i++) for (int j = 0; j < sz; j++) { var a = l[i].Key; var b = l[i].Value; var c = l[j].Key; var d = l[j].Value; long A, B; if (a == 0) { if (X % b > 0) continue; B = X / b; A = Y - d * B; if (B <= 0) continue; if (A <= 0) continue; } else if (b == 0) { if (X % a > 0) continue; A = X / a; B = Y - c * A; if (B <= 0 || A <= 0) continue; } else if (c == 0) { if (Y % d > 0) continue; B = Y / d; A = X - b * B; if (B <= 0) continue; if (A <= 0) continue; } else if (d == 0) { if (X % c > 0) continue; A = X / c; B = Y - c * A; if (B <= 0) continue; if (A <= 0) continue; } else { if (a == 3 && b == 2 && c == 3 && d == 2) { } var lcm = MathEx.LCM(a, c); b *= lcm / a; b -= d * (lcm / c); var U = X * (lcm / a) - Y * (lcm / c); if (b == 0) { A = 1; B = Y - c; } else { if (U % b > 0) continue; B = U / b; A = Y - d * B; if (A % c > 0) continue; A /= c; if (A <= 0 || B <= 0) continue; } } for (int k = 0; k < sz; k++) { if (l[k].Key * A + l[k].Value * B == Z) { Debug.WriteLine("{0} {1}", A, B); var p = Pair.Create(A, B); ans = Pair.Min(ans, p); } } } if (ans.x == long.MaxValue) IO.Printer.Out.WriteLine(-1); else IO.Printer.Out.WriteLine("{0} {1}", ans.x, ans.y); } public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput()); static T[] Enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; } static public void Swap(ref T a, ref T b) { var tmp = a; a = b; b = tmp; } } } #region Ex namespace Program.IO { using System.IO; using System.Text; using System.Globalization; public class Printer : StreamWriter { static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; } public static Printer Out { get; set; } public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { } public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { } public void Write(string format, IEnumerable source) { base.Write(format, source.OfType().ToArray()); } public void WriteLine(string format, IEnumerable source) { base.WriteLine(format, source.OfType().ToArray()); } } public class StreamScanner { public StreamScanner(Stream stream) { str = stream; } public readonly Stream str; private readonly byte[] buf = new byte[1024]; private int len, ptr; public bool isEof = false; public bool IsEndOfStream { get { return isEof; } } private byte read() { if (isEof) return 0; if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } } return buf[ptr++]; } public char Char() { byte b = 0; do b = read(); while (b < 33 || 126 < b); return (char)b; } public string Scan() { var sb = new StringBuilder(); for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b); return sb.ToString(); } public long Long() { if (isEof) return long.MinValue; long ret = 0; byte b = 0; var ng = false; do b = read(); while (b != '-' && (b < '0' || '9' < b)); if (b == '-') { ng = true; b = read(); } for (; true; b = read()) { if (b < '0' || '9' < b) return ng ? -ret : ret; else ret = ret * 10 + b - '0'; } } public int Integer() { return (isEof) ? int.MinValue : (int)Long(); } public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); } private T[] enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(); return a; } public char[] Char(int n) { return enumerate(n, Char); } public string[] Scan(int n) { return enumerate(n, Scan); } public double[] Double(int n) { return enumerate(n, Double); } public int[] Integer(int n) { return enumerate(n, Integer); } public long[] Long(int n) { return enumerate(n, Long); } } } static class Ex { static public string AsString(this IEnumerable ie) { return new string(System.Linq.Enumerable.ToArray(ie)); } static public string AsJoinedString(this IEnumerable ie, string st = " ") { return string.Join(st, ie); } static public void Main() { var solver = new Program.Solver(); solver.Solve(); Program.IO.Printer.Out.Flush(); } } #endregion #region Matrix public class Matrix { int row, col; long[,] mat; public long this[int r, int c] { get { return mat[r, c]; } set { mat[r, c] = value; } } public Matrix(int r, int c) { row = r; col = c; mat = new long[r, c]; } public static Matrix operator +(Matrix l, Matrix r) { check(l, r); var ret = new Matrix(l.row, l.col); for (int i = 0; i < l.row; i++) for (int j = 0; j < l.col; j++) ret.mat[i, j] = (l.mat[i, j] + r.mat[i, j]); return ret; } public static Matrix operator *(Matrix l, Matrix r) { checkMul(l, r); var ret = new Matrix(l.row, r.col); for (int i = 0; i < l.row; i++) for (int k = 0; k < l.col; k++) for (int j = 0; j < r.col; j++) ret.mat[i, j] += l.mat[i, k] * r.mat[k, j]; return ret; } public static Matrix Pow(Matrix m, long n) { var ret = new Matrix(m.row, m.col); for (int i = 0; i < m.row; i++) ret.mat[i, i] = 1; for (; n > 0; m *= m, n >>= 1) { if ((n & 1) == 1) ret = ret * m; } return ret; } static T[] Enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; } static public void Swap(ref T a, ref T b) { var tmp = a; a = b; b = tmp; } [System.Diagnostics.Conditional("DEBUG")] static private void check(Matrix a, Matrix b) { if (a.row != b.row || a.col != b.col) throw new Exception("row and col have to be same."); } [System.Diagnostics.Conditional("DEBUG")] static private void checkMul(Matrix a, Matrix b) { if (a.col != b.row) throw new Exception("row and col have to be same."); } } #endregion #region Compair static public class Pair { static public Pair Create(FT f, ST s) where FT : IComparable where ST : IComparable { return new Pair(f, s); } static public Pair Min(Pair p, Pair q) where FT : IComparable where ST : IComparable { return (p.CompareTo(q) <= 0) ? p : q; } static public Pair Max(Pair p, Pair q) where FT : IComparable where ST : IComparable { return (p.CompareTo(q) >= 0) ? p : q; } } public struct Pair : IComparable> where FT : IComparable where ST : IComparable { public FT x; public ST y; public Pair(FT f, ST s) : this() { x = f; y = s; } public int CompareTo(Pair other) { var cmp = x.CompareTo(other.x); return cmp != 0 ? cmp : y.CompareTo(other.y); } } #endregion #region gcd,lcm static public partial class MathEx { static public long GCD(long x, long y) { byte i = 0; while (x != 0 && y != 0) { if (i == 0) y %= x; else x %= y; i ^= 1; } return x == 0 ? y : x; } static public long LCM(long x, long y) { return x * y / GCD(x, y); } } #endregion