using System;
using System.Collections;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Numerics;
namespace Tasks
{
public class F
{
public static void Main()
{
var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
Console.SetOut(sw);
Solve();
Console.Out.Flush();
}
public static void Solve()
{
var (N, M) = Scanner.Scan<int, int>();
var G = new List<int>[N].Select(x => new List<int>()).ToArray();
for (var i = 0; i < M; i++)
{
var (u, v) = Scanner.Scan<int, int>();
u--; v--;
G[u].Add(v);
G[v].Add(u);
}
const int inf = (int)1e9;
var dp = new int[1 << N, N];
for (var i = 1; i < 1 << N; i++)
{
for (var j = 0; j < N; j++)
{
dp[i, j] = inf;
}
}
var queue = new Queue<(int U, int S, int L)>();
for (var i = 0; i < N; i++)
{
var s = 1 << i;
var l = 1;
dp[s, i] = l;
queue.Enqueue((i, s, l));
while (queue.Count > 0)
{
var (u, cs, cl) = queue.Dequeue();
// if (l > dp[cs]) continue;
foreach (var v in G[u])
{
var ns = (cs >> v & 1) == 0 ? cs + (1 << v) : cs - (1 << v);
var nl = cl + 1;
if (nl >= dp[ns, v]) continue;
dp[ns, v] = nl;
queue.Enqueue((v, ns, nl));
}
}
}
var answer = 0;
for (var i = 0; i < 1 << N; i++)
{
var min = inf;
for (var j = 0; j < N; j++)
{
min = Math.Min(min, dp[i, j]);
}
answer += min;
}
Console.WriteLine(answer);
}
public static class Scanner
{
public static string ScanLine() => Console.ReadLine()?.Trim() ?? string.Empty;
public static string[] Scan() => ScanLine().Split(' ');
public static T Scan<T>() where T : IConvertible => Convert<T>(Scan()[0]);
public static (T1, T2) Scan<T1, T2>() where T1 : IConvertible where T2 : IConvertible
{
var line = Scan();
return (Convert<T1>(line[0]), Convert<T2>(line[1]));
}
public static (T1, T2, T3) Scan<T1, T2, T3>() where T1 : IConvertible where T2 : IConvertible where T3 : IConvertible
{
var line = Scan();
return (Convert<T1>(line[0]), Convert<T2>(line[1]), Convert<T3>(line[2]));
}
public static (T1, T2, T3, T4) Scan<T1, T2, T3, T4>() where T1 : IConvertible where T2 : IConvertible where T3 : IConvertible where T4 : IConvertible
{
var line = Scan();
return (Convert<T1>(line[0]), Convert<T2>(line[1]), Convert<T3>(line[2]), Convert<T4>(line[3]));
}
public static (T1, T2, T3, T4, T5) Scan<T1, T2, T3, T4, T5>() where T1 : IConvertible where T2 : IConvertible where T3 : IConvertible where T4 : IConvertible where T5 : IConvertible
{
var line = Scan();
return (Convert<T1>(line[0]), Convert<T2>(line[1]), Convert<T3>(line[2]), Convert<T4>(line[3]), Convert<T5>(line[4]));
}
public static (T1, T2, T3, T4, T5, T6) Scan<T1, T2, T3, T4, T5, T6>() where T1 : IConvertible where T2 : IConvertible where T3 : IConvertible where T4 : IConvertible where T5 : IConvertible where T6 : IConvertible
{
var line = Scan();
return (Convert<T1>(line[0]), Convert<T2>(line[1]), Convert<T3>(line[2]), Convert<T4>(line[3]), Convert<T5>(line[4]), Convert<T6>(line[5]));
}
public static IEnumerable<T> ScanEnumerable<T>() where T : IConvertible => Scan().Select(Convert<T>);
private static T Convert<T>(string value) where T : IConvertible => (T)System.Convert.ChangeType(value, typeof(T));
}
}
}