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 Java (OpenJDK 11.0.6) (judge verdict: Runtime Error)

import java.util.PriorityQueue;
import java.util.Queue;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		try (Scanner sc = new Scanner(System.in)) {
			String s = sc.next();
			int k = sc.nextInt();
			Queue<String> que = new PriorityQueue<>();
			int len = s.length();
			for (int i = 0; i < len; i++) {
				for (int j = i + 1; j <= len; j++) {
					que.add(s.substring(i, j));
				}
			}
			String ans = que.remove();
			int cnt = 1;
			while (true) {
				if (cnt == k)
					break;
				String next = que.remove();
				if (!next.equals(ans)) {
					cnt++;
					ans = next;
				}
			}
			System.out.println(ans);
		}
	}
}