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()); var d = Enumerate(n, x => Enumerate(n, y => 100)); for (int i = 0; i < n; i++) d[i][i] = 0; 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); d[a][b] = d[b][a] = 1; } for (int t = 0; t < n; t++) for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) d[i][j] = Math.Min(d[i][t] + d[t][j], d[i][j]); var s = new List() { 0 }; for (int _ = n - 1; _ > 0 && s.Count <= k; _--) { s.Add(_); var dp = new int[s.Count, 1 << s.Count]; for (int i = 0; i < s.Count; i++) for (int j = 0; j < 1 << s.Count; j++) dp[i, j] = 1000; dp[0, 1] = 0; for (int i = 1; i < 1 << s.Count; i++) { for (int j = 0; j < s.Count; j++) { if ((i >> j & 1) == 0) continue; if (dp[j, i] > k) continue; for (int t = 0; t < s.Count; t++) { if ((i >> t & 1) == 1) continue; var e = d[s[j]][s[t]]; dp[t, i | 1 << t] = Math.Min(dp[j, i] + e, dp[t, i | 1 << t]); } } } var ok = false; for (int i = 0; i < s.Count; i++) if (dp[i, (1 << s.Count) - 1] <= k) { ok = true; break; } if (!ok) s.RemoveAt(s.Count - 1); } var max = 0L; foreach (var x in s) max += (1L << x) - 1; IO.Printer.Out.WriteLine(max); } 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