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 Go (1.6) (judge verdict: Runtime Error)

package main

import (
	"fmt"
	"sort"
)

func main() {

	var s string
	var k int

	fmt.Scan(&s)
	fmt.Scan(&k)

	slice := generateSubStringSlice(s)

	sort.Strings(slice)
	fmt.Println(slice[k-1])
}

func generateSubStringSlice(s string) []string {
	var pat map[string]int
	for i := 1; i <= len(s); i++ {
		for j := 0; j < len(s); j++ {
			if j+i > len(s) {
				break
			}
			sub := s[j:(j + i)]
			//fmt.Println(sub)
			pat[sub] = 1
		}
	}
	//fmt.Println(slice)
	var slice []string

	for k := range pat {
		slice = append(slice, k)
	}

	return slice
}