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 n = sc.Integer(); var m = sc.Integer(); var k = sc.Integer(); var G = Enumerate(n, x => new List()); for (int i = 0; i < m; i++) { var a = sc.Integer() - 1; var b = sc.Integer() - 1; G[a].Add(b); G[b].Add(a); } var visit = Enumerate(n, x => new HashSet()); var q = new Queue>(); q.Enqueue(Triplet.Create(0, 0, 1L)); long max = 0; while (q.Any()) { var p = q.Dequeue(); max = Math.Max(p.K, max); if (p.J == k) continue; foreach (var to in G[p.I]) { var nv = p.K | 1L << to; if (visit[to].Add(nv)) q.Enqueue(Triplet.Create(to, p.J + 1, nv)); } } long ans = 0; for (int i = 1; i < n; i++) if ((max >> i & 1) == 1) ans += (1 << i) - 1; IO.Printer.Out.WriteLine(ans); } 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 Triplet static public class Triplet { static public Triplet Create(FT f, ST s, TT t) where FT : IComparable where ST : IComparable where TT : IComparable { return new Triplet(f, s, t); } } public struct Triplet : IComparable> where FT : IComparable where ST : IComparable where TT : IComparable { public FT I; public ST J; public TT K; public Triplet(FT i, ST j, TT k) : this() { I = i; J = j; K = k; } public int CompareTo(Triplet other) { var cmp = I.CompareTo(other.I); if (cmp != 0) return cmp; cmp = J.CompareTo(other.J); if (cmp != 0) return cmp; return K.CompareTo(other.K); } public override string ToString() { return string.Format("{0} {1} {2}", I, J, K); } } #endregion