using System; using System.Collections.Generic; using System.Linq; using System.Linq.Expressions; using System.IO; using static util; using P = pair; using Binary = System.Func; using Unary = System.Func; class Program { static StreamWriter sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }; static Scan sc = new Scan(); const int M = 1000000007; const int M2 = 998244353; const long LM = (long)1e18; const double eps = 1e-11; static readonly int[] dd = { 0, 1, 0, -1, 0 }; const string dstring = "RDLU"; static void Main() { int n, k; sc.Multi(out n, out k); var a = sc.IntArr; Comparison compare1 = (x, y) => { var s1 = x.ToString() + y.ToString(); var s2 = y.ToString() + x.ToString(); if (s1 == s2) return y.CompareTo(x); return s2.CompareTo(s1); }; Comparison compare2 = (x, y) => { var s1 = x.ToString() + y.ToString(); var s2 = y.ToString() + x.ToString(); return s2.CompareTo(s1); }; Array.Sort(a, compare1); // var q = new PriorityQueue(){ rev = true }; var dic = new SortedSet(); for (int i = 0; dic.Count < k || i < 20000; i++) { dic.Add(string.Join("", a)); if (!MyMath.nextPermutation(a, compare2)) break; } var b = dic.Reverse(); foreach (var item in b) { if (k == 0) break; --k; Prt(item); } sw.Flush(); } static void DBG(string a) => Console.WriteLine(a); static void DBG(IEnumerable a) => DBG(string.Join(" ", a)); static void DBG(params object[] a) => DBG(string.Join(" ", a)); static void Prt(string a) => sw.WriteLine(a); static void Prt(IEnumerable a) => Prt(string.Join(" ", a)); static void Prt(params object[] a) => Prt(string.Join(" ", a)); } class pair : IComparable> { public T v1; public U v2; public pair(T v1, U v2) { this.v1 = v1; this.v2 = v2; } public int CompareTo(pair a) { int c = Comparer.Default.Compare(v1, a.v1); return c != 0 ? c : Comparer.Default.Compare(v2, a.v2); } public override string ToString() => v1 + " " + v2; public void Deconstruct(out T a, out U b) { a = v1; b = v2; } } static class util { public static pair make_pair(this IList l) => make_pair(l[0], l[1]); public static pair make_pair(T v1, U v2) => new pair(v1, v2); public static T sq(T a) => Operator.Multiply(a, a); public static T Max(params T[] a) => a.Max(); public static T Min(params T[] a) => a.Min(); public static bool inside(int i, int j, int h, int w) => i >= 0 && i < h && j >= 0 && j < w; public static void swap(ref T a, ref T b) where T : struct { var t = a; a = b; b = t; } public static void swap(this IList a, int i, int j) where T : struct { var t = a[i]; a[i] = a[j]; a[j] = t; } public static T[] copy(this IList a) { var ret = new T[a.Count]; for (int i = 0; i < a.Count; i++) ret[i] = a[i]; return ret; } } static class Operator { static readonly ParameterExpression x = Expression.Parameter(typeof(T), "x"); static readonly ParameterExpression y = Expression.Parameter(typeof(T), "y"); public static readonly Func Add = Lambda(Expression.Add); public static readonly Func Subtract = Lambda(Expression.Subtract); public static readonly Func Multiply = Lambda(Expression.Multiply); public static readonly Func Divide = Lambda(Expression.Divide); public static readonly Func Plus = Lambda(Expression.UnaryPlus); public static readonly Func Negate = Lambda(Expression.Negate); public static Func Lambda(Binary op) => Expression.Lambda>(op(x, y), x, y).Compile(); public static Func Lambda(Unary op) => Expression.Lambda>(op(x), x).Compile(); } class Scan { public int Int => int.Parse(Str); public long Long => long.Parse(Str); public double Double => double.Parse(Str); public string Str => Console.ReadLine().Trim(); public pair Pair() where T : IComparable where U : IComparable { T a; U b; Multi(out a, out b); return new pair(a, b); } public P P { get { int a, b; Multi(out a, out b); return new P(a, b); } } public int[] IntArr => StrArr.Select(int.Parse).ToArray(); public long[] LongArr => StrArr.Select(long.Parse).ToArray(); public double[] DoubleArr => StrArr.Select(double.Parse).ToArray(); public string[] StrArr => Str.Split(new[]{' '}, StringSplitOptions.RemoveEmptyEntries); bool eq() => typeof(T).Equals(typeof(U)); T ct(U a) => (T)Convert.ChangeType(a, typeof(T)); T cv(string s) => eq() ? ct(int.Parse(s)) : eq() ? ct(long.Parse(s)) : eq() ? ct(double.Parse(s)) : eq() ? ct(s[0]) : ct(s); public void Multi(out T a) => a = cv(Str); public void Multi(out T a, out U b) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); } public void Multi(out T a, out U b, out V c) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); } public void Multi(out T a, out U b, out V c, out W d) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); d = cv(ar[3]); } public void Multi(out T a, out U b, out V c, out W d, out X e) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); d = cv(ar[3]); e = cv(ar[4]); } public void Multi(out T a, out U b, out V c, out W d, out X e, out Y f) { var ar = StrArr; a = cv(ar[0]); b = cv(ar[1]); c = cv(ar[2]); d = cv(ar[3]); e = cv(ar[4]); f = cv(ar[5]); } } static class MyMath { public static long Mod = 1000000007; public static bool isprime(long a) { if (a < 2) return false; for (long i = 2; i * i <= a; i++) if (a % i == 0) return false; return true; } public static bool[] sieve(int n) { var p = new bool[n + 1]; for (int i = 2; i <= n; i++) p[i] = true; for (int i = 2; i * i <= n; i++) if (p[i]) for (int j = i * i; j <= n; j += i) p[j] = false; return p; } public static List getprimes(int n) { var prs = new List(); var p = sieve(n); for (int i = 2; i <= n; i++) if (p[i]) prs.Add(i); return prs; } public static long pow(long a, long b) { a %= Mod; if (a == 0) return 0; if (b == 0) return 1; var t = pow(a, b / 2); if ((b & 1) == 0) return t * t % Mod; return t * t % Mod * a % Mod; } public static long inv(long a) => pow(a, Mod - 2); public static long gcd(long a, long b) { while (b > 0) { var t = a % b; a = b; b = t; } return a; } // a x + b y = gcd(a, b) public static long extgcd(long a, long b, out long x, out long y) { long g = a; x = 1; y = 0; if (b > 0) { g = extgcd(b, a % b, out y, out x); y -= a / b * x; } return g; } public static long lcm(long a, long b) => a / gcd(a, b) * b; static long[] facts, invs; public static void setfacts(int n) { facts = new long[n + 1]; facts[0] = 1; for (int i = 1; i <= n; i++) facts[i] = facts[i - 1] * i % Mod; invs = new long[n + 1]; invs[n] = inv(facts[n]); for (int i = n; i > 0 ; i--) invs[i - 1] = invs[i] * i % Mod; } public static long comb(long n, long r) { if (n < 0 || r < 0 || r > n) return 0; if (facts != null && facts.Length > n) return facts[n] * invs[r] % Mod * invs[n - r] % Mod; if (n - r < r) r = n - r; long numer = 1, denom = 1; for (long i = 0; i < r; i++) { numer = numer * ((n - i) % Mod) % Mod; denom = denom * ((i + 1) % Mod) % Mod; } return numer * inv(denom) % Mod; } public static long[][] getcombs(int n) { var ret = new long[n + 1][]; for (int i = 0; i <= n; i++) { ret[i] = new long[i + 1]; ret[i][0] = ret[i][i] = 1; for (int j = 1; j < i; j++) ret[i][j] = (ret[i - 1][j - 1] + ret[i - 1][j]) % Mod; } return ret; } // nC0, nC2, ..., nCn public static long[] getcomb(int n) { var ret = new long[n + 1]; ret[0] = 1; for (int i = 0; i < n; i++) ret[i + 1] = ret[i] * (n - i) % Mod * inv(i + 1) % Mod; return ret; } public static bool nextPermutation(IList p) where T : struct, IComparable { for (int i = p.Count - 2; i >= 0; --i) { if (p[i].CompareTo(p[i + 1]) < 0) { for (int j = p.Count - 1; ; --j) { if (p[j].CompareTo(p[i]) > 0) { p.swap(i, j); for(++i, j = p.Count - 1; i < j; ++i, --j) p.swap(i, j); return true; } } } } return false; } public static bool nextPermutation(IList p, Comparison compare) where T : struct { for (int i = p.Count - 2; i >= 0; --i) { if (compare(p[i], p[i + 1]) < 0) { for (int j = p.Count - 1; ; --j) { if (compare(p[j], p[i]) > 0) { p.swap(i, j); for (++i, j = p.Count - 1; i < j; ++i, --j) p.swap(i, j); return true; } } } } return false; } }