Problem:
Score : 300 points

Problem Statement

You are given a string s.
Among the different substrings of s, print the K-th lexicographically smallest one.

A substring of s is a string obtained by taking out a non-empty contiguous part in s.
For example, if s = ababc, a, bab and ababc are substrings of s, while ac, z and an empty string are not.
Also, we say that substrings are different when they are different as strings.

Let X = x_{1}x_{2}...x_{n} and Y = y_{1}y_{2}...y_{m} be two distinct strings. X is lexicographically larger than Y if and only if Y is a prefix of X or x_{j} > y_{j} where j is the smallest integer such that x_{j} \neq y_{j}.

Constraints

1 ≤ |s| ≤ 5000

s consists of lowercase English letters.

1 ≤ K ≤ 5

s has at least K different substrings.

Partial Score

200 points will be awarded as a partial score for passing the test set satisfying |s| ≤ 50.

Input

Input is given from Standard Input in the following format:

s
K

Output

Print the K-th lexicographically smallest substring of K.

Sample Input 1

aba
4

Sample Output 1

b

s has five substrings: a, b, ab, ba and aba.
Among them, we should print the fourth smallest one, b.
Note that we do not count a twice.

Sample Input 2

atcoderandatcodeer
5

Sample Output 2

andat

Sample Input 3

z
1

Sample Output 3

z

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ARC097C_2 {
    class Program {
        static void Main(string[] args) {
            string s = Console.ReadLine();
            int K = int.Parse(Console.ReadLine());
            char[] str = s.ToCharArray();
            int len = s.Length;
            int num = 0;
            for (int i = 0; i < len; i++) {
                num += Math.Max(5, len - i);
            }
            List<string> a = new List<string>();
            for (int i = 0; i < len; i++) {
                for (int j = 0; j < 5; j++) {
                    if (i + j < len) {
                        a.Add(s.Substring(i, j + 1));
                    }
                }
            }
            a = a.Distinct().ToList();
            a.Sort();
            //for (int i = 0; i < a.Count(); i++) {
            //    Console.WriteLine(a[i]);
            //}
            Console.WriteLine(a[K - 1]);
        }
    }
}