# Longest subsequence where every character appears at-least k times

• Difficulty Level : Basic
• Last Updated : 22 Nov, 2022

Given a string and a number k, find the longest subsequence of a string where every character appears at-least k times.

Examples:

Input: str = “geeksforgeeks”, k = 2
Output: geeksgeeks
Explanation: Every character in the output subsequence appears at-least 2 times.

Input : str = “aabbaabacabb”, k = 5
Output : aabbaabaabb

Method 1 (Brute force): We generate all subsequences. For every subsequence count distinct characters in it and find the longest subsequence where every character appears at-least k times.

Method 2 (Efficient way):

1. Find the frequency of the string and store it in an integer array of size 26 representing the alphabets.
2. After finding the frequency iterate the string character by character. If the frequency of that character is greater than or equal to the required number of repetitions then print that character then and there only.

Implementation:

## C++

 // C++ program to Find longest subsequence where//  every character appears at-least k times#includeusing namespace std; const int MAX_CHARS = 26; void longestSubseqWithK(string str, int k)   {    int n = str.size();                       // Count frequencies of all characters    int freq[MAX_CHARS] = {0};                       for (int i = 0 ; i < n; i++)           freq[str[i] - 'a']++;                      // Traverse given string again and print    // all those characters whose frequency    // is more than or equal to k.    for (int i = 0 ; i < n ; i++)          if (freq[str[i] - 'a'] >= k)                          cout << str[i];     } // Driver codeint main() {    string str = "geeksforgeeks";    int k = 2;    longestSubseqWithK(str, k);          return 0;}

## Java

 // Java program to Find longest subsequence where//  every character appears at-least k times class GFG {     static final int MAX_CHARS = 26;     static void longestSubseqWithK(String str, int k) {        int n = str.length();         // Count frequencies of all characters        int freq[] = new int[MAX_CHARS];        for (int i = 0; i < n; i++) {            freq[str.charAt(i) - 'a']++;        }         // Traverse given string again and print        // all those characters whose frequency        // is more than or equal to k.        for (int i = 0; i < n; i++) {            if (freq[str.charAt(i) - 'a'] >= k) {                System.out.print(str.charAt(i));            }        }    } // Driver code    static public void main(String[] args) {        String str = "geeksforgeeks";        int k = 2;        longestSubseqWithK(str, k);     }} // This code is contributed by Rajput-Ji

## Python3

 # Python3 program to Find longest subsequence where#  every character appears at-least k times  MAX_CHARS = 26  def longestSubseqWithK(s, k):        n = len(s)                       # Count frequencies of all characters    freq = [0]*MAX_CHARS                    for i in range(n):         freq[ord(s[i]) - ord('a')]+=1                       # Traverse given string again and print    # all those characters whose frequency    # is more than or equal to k.    for i in range(n ):        if (freq[ord(s[i]) - ord('a')] >= k):                          print(s[i],end="")  # Driver codeif __name__ == "__main__":         s = "geeksforgeeks"    k = 2    longestSubseqWithK(s, k)

## C#

 // C# program to Find longest subsequence where//  every character appears at-least k timesusing System;public class GFG {      static readonly int MAX_CHARS = 26;      static void longestSubseqWithK(String str, int k) {        int n = str.Length;          // Count frequencies of all characters        int []freq = new int[MAX_CHARS];        for (int i = 0; i < n; i++) {            freq[str[i]- 'a']++;        }          // Traverse given string again and print        // all those characters whose frequency        // is more than or equal to k.        for (int i = 0; i < n; i++) {            if (freq[str[i] - 'a'] >= k) {                Console.Write(str[i]);            }        }    }  // Driver code    static public void Main() {        String str = "geeksforgeeks";        int k = 2;        longestSubseqWithK(str, k);      }}  // This code is contributed by Rajput-Ji

## Javascript



Output

geeksgeeks

Time complexity: O(n), where n is the size of the string.
Auxiliary Space: O(n), where n is the length of the string. This is because when a string is passed to any function it is passed by value and creates a copy of itself in the stack.

Method 3 (Efficient way – Using HashMap) :

## C++14

 // C++ program to Find longest subsequence where every// character appears at-least k times#include using namespace std; void longestSubseqWithK(string str, int k){    int n = str.size();    map mp;     // Count frequencies of all characters    for (int i = 0; i < n; i++) {        char t = str[i];        mp[t]++;    }     // Traverse given string again and print    // all those characters whose frequency    // is more than or equal to k.    for (int i = 0; i < n; i++) {        char t = str[i];        if (mp[t] >= k) {            cout << t;        }    }} // Driver codeint main(){    string str = "geeksforgeeks";    int k = 2;    longestSubseqWithK(str, k);     return 0;} // This code is contributed by rakeshsahni

## Java

 /*package whatever //do not write package name here */// Java program to Find longest subsequence where every// character appears at-least k times import java.io.*;import java.util.HashMap; class GFG {     static void longestSubseqWithK(String str, int k)    {        int n = str.length();        HashMap hm = new HashMap<>();         // Count frequencies of all characters        for (int i = 0; i < n; i++) {            char c = str.charAt(i);            if (hm.containsKey(c))                hm.put(c, hm.get(c) + 1);            else                hm.put(c, 1);        }         // Traverse given string again and print        // all those characters whose frequency        // is more than or equal to k.        for (int i = 0; i < n; i++) {            char c = str.charAt(i);            if (hm.get(c) >= k) {                System.out.print(c);            }        }    }     // Driver code    static public void main(String[] args)    {        String str = "geeksforgeeks";        int k = 2;        longestSubseqWithK(str, k);    }} // This code is contributed by Chandan-Bedi

## Python3

 # Python3 program to Find longest subsequence where every# character appears at-least k timesdef longestSubseqWithK(Str, k):  n = len(Str)  hm = {}   # Count frequencies of all characters  for i in range(n):    c = Str[i]    if(c in hm):        hm += 1         else:        hm = 1   # Traverse given string again and print  # all those characters whose frequency  # is more than or equal to k.  for i in range(n):    c = Str[i]    if (hm >= k):      print(c,end="")     # Driver codeStr = "geeksforgeeks"k = 2longestSubseqWithK(Str, k) # This code is contributed by shinjanpatra

## C#

 // C# program to Find longest subsequence where every// character appears at-least k timesusing System;using System.Collections; class GFG {   static void longestSubseqWithK(string str, int k)  {    int n = str.Length;    Hashtable hm = new Hashtable();     // Count frequencies of all characters    for (int i = 0; i < n; i++) {      char c = str[i];      if (hm.ContainsKey(c)) {        int old = (int)hm;        hm.Remove(c);        hm.Add(c, old + 1);      }      else        hm.Add(c, 1);    }     // Traverse given string again and print    // all those characters whose frequency    // is more than or equal to k.    for (int i = 0; i < n; i++) {      char c = str[i];      if ((int)hm >= k) {        Console.Write(c);      }    }  }   // Driver code  static public void Main(string[] args)  {    string str = "geeksforgeeks";    int k = 2;    longestSubseqWithK(str, k);  }} // This code is contributed by karandeep1234

## Javascript



Output

geeksgeeks

Time complexity: O(n*log(n)). This is because the time complexity of inserting an element in a map is O(log(n)).
Auxiliary Space: O(n), where n is the length of the string. This is because when the string is passed to any function it is passed by value and creates a copy of itself in the stack.

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