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 Java8 (OpenJDK 1.8.0) (judge verdict: Runtime Error)

import java.util.*;
import java.lang.*;
public class Main{
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);

		String s = sc.next();
		int N = s.length();
		int K = sc.nextInt();
		int count = 0;
		int x = 0;
		if( N>=5 ){
			count = 5*N-10;
			x = 5;
		}else{
			count = N*(N+1)/2;
			x = N;
		}
		String[] sub = new String[count];
		s = s + "A";
		int a = 0;
		for( int i=x; i>0; i-- ){        
			for( int j=0; j<=N-i; j++ ){
				sub[a] = s.substring(j,j+i);
				a++;              
			}
		}     
		Arrays.sort(sub);
		int b = 0;  
		if( N>1 ){	//
		for( int i=0; i<a; i++ ){  
			if( !(sub[i].equals(sub[i+1])) ){
				b++;
			}      
			if( b==K ){
				System.out.println(sub[i]);             
				break;
			}
		}  
		}  		// 
		if( N==1 ){
			System.out.println(sub[0]);
		} 
	}
}