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++14 (GCC 5.4.1) (judge verdict: Runtime Error)

#include <bits/stdc++.h>
using namespace std;
#define rep(i,N) for(int i=0;i<int(N);++i)
#define rep1(i,N) for(int i=1;i<int(N);++i)
#define all(a) (a).begin(),(a).end()		//sort(all(vi S)) sort(all(string S))

typedef long long ll;
typedef vector<int> vi;
typedef set<int> seti;
typedef vector<string> vs;

const int MOD = 1e9+7;
const int INF = 1e9;

int main() {
	string S;
	int K;
	cin>>S>>K;
	int N = S.size();
	vector<string> s;
	for (int i = 0; i < N; ++i){
		for (int j = 0; i+j <= N; ++j){
			s.push_back(S.substr(i,j));
		}
	}

	sort(all(s));
	//rep(i,s.size())cout<<s[i]<<endl;
	int cnt = 0;
	string ans = s[0];
	rep1(i,s.size()){
		if(s[i-1]!=s[i])cnt++;
		if(cnt==K)ans = s[i];
	}
	cout<<ans<<endl;
}