Find if string is K-Palindrome or not using all characters exactly once

Given a string str and an integer K, the task is to check if it is possible to make the string K palindromes using all the characters of the string exactly once.
Examples: 

Input: str = “poor”, K = 3 
Output: Yes 
One way of getting 3 palindromes is: oo, p, r

Input: str = “fun”, K = 5 
Output: No 
2 palindromes can’t be constructed using 3 distinct letters. Hence not possible. 

Approach: 

  1. If the size of the string is less than k, getting k palindromes is not possible.
  2. If the size of the string is equal to k, getting k palindromes is always possible. We give 1 character to each of k strings and all of them are palindromes as a string of length 1 is always a palindrome.
  3. If the size of the string is greater than k then some strings might have more than 1 character. 
    • Create a hashmap to store the frequency of every character as the characters having even number of occurrences can be distributed in groups of 2.
    • Check if the number of characters having an odd number of occurrences is less than or equal to k, we can say that k palindromes can always be generated else no.

Below is the implementation of the above approach: 

C++

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// C++ program to find if string is K-Palindrome
// or not using all characters exactly once
  
#include <bits/stdc++.h>
using namespace std;
  
void iskPalindromesPossible(string s, int k)
{
    // when size of string is less than k
    if (s.size() < k) {
        cout << "Not Possible" << endl;
        return;
    }
  
    // when size of string is equal to k
    if (s.size() == k) {
        cout << "Possible" << endl;
        return;
    }
  
    // when size of string is greater than k
  
    // to store the frequencies of the characters
    map<char, int> freq;
    for (int i = 0; i < s.size(); i++)
        freq[s[i]]++;
  
    // to store the count of characters
    // whose number of occurrences is odd.
    int count = 0;
  
    // iterating over the map
    for (auto it : freq) {
        if (it.second % 2 == 1)
            count++;
    }
    if (count > k)
        cout << "No" << endl;
    else
        cout << "Yes" << endl;
}
  
// Driver code
int main()
{
  
    string str = "poor";
    int K = 3;
    iskPalindromesPossible(str, K);
  
    str = "geeksforgeeks";
    K = 10;
    iskPalindromesPossible(str, K);
  
    return 0;
}

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Java

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// Java program to find if String
// is K-Palindrome or not using 
// all characters exactly once
import java.util.*;
  
class GFG{
  
static void iskPalindromesPossible(String s,
                                   int k)
{
      
    // When size of String is less than k
    if (s.length() < k)
    {
        System.out.print("Not Possible" + "\n");
        return;
    }
  
    // When size of String is equal to k
    if (s.length() == k)
    {
        System.out.print("Possible" + "\n");
        return;
    }
      
    // When size of String is greater than k
    // to store the frequencies of the characters
    HashMap<Character,
            Integer> freq = new HashMap<Character,
                                        Integer>();
    for(int i = 0; i < s.length(); i++)
       if(freq.containsKey(s.charAt(i)))
       {
           freq.put(s.charAt(i), 
           freq.get(s.charAt(i)) + 1);
       }
       else
       {
           freq.put(s.charAt(i), 1);
       }
  
    // To store the count of characters
    // whose number of occurrences is odd.
    int count = 0;
  
    // Iterating over the map
    for(Map.Entry<Character, 
                  Integer> it : freq.entrySet()) 
    {
       if (it.getValue() % 2 == 1)
           count++;
    }
      
    if (count > k)
        System.out.print("No" + "\n");
    else
        System.out.print("Yes" + "\n");
}
  
// Driver code
public static void main(String[] args)
{
    String str = "poor";
    int K = 3;
    iskPalindromesPossible(str, K);
  
    str = "geeksforgeeks";
    K = 10;
    iskPalindromesPossible(str, K);
}
}
  
// This code is contributed by sapnasingh4991

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Python3

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# Find if string is K-Palindrome or not using all characters exactly once
# Python 3 program to find if string is K-Palindrome
# or not using all characters exactly once
  
def iskPalindromesPossible(s, k):
  
    # when size of string is less than k
    if (len(s)<k):
        print("Not Possible")
        return
  
    # when size of string is equal to k
    if (len(s) == k):
        print("Possible")
        return
  
    # when size of string is greater than k
  
    # to store the frequencies of the characters
    freq = dict.fromkeys(s,0)
    for i in range(len(s)):
        freq[s[i]] += 1
  
    #to store the count of characters
    # whose number of occurrences is odd.
    count = 0
  
    # iterating over the map
    for value in freq.values():
        if (value % 2 == 1):
            count += 1
    if (count > k):
        print("No")
    else:
        print("Yes")
  
# Driver code
if __name__ == '__main__':
    str1 = "poor"
    K = 3
    iskPalindromesPossible(str1, K)
  
    str = "geeksforgeeks"
    K = 10
    iskPalindromesPossible(str, K)
  
# This code is contributed by Surendra_Gangwar

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C#

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// C# program to find if String
// is K-Palindrome or not using 
// all characters exactly once
using System;
using System.Collections.Generic;
  
class GFG{
  
static void iskPalindromesPossible(String s,
                                   int k)
{
      
    // When size of String is less than k
    if (s.Length < k)
    {
        Console.Write("Not Possible" + "\n");
        return;
    }
  
    // When size of String is equal to k
    if (s.Length == k)
    {
        Console.Write("Possible" + "\n");
        return;
    }
      
    // When size of String is greater than k
    // to store the frequencies of the characters
    Dictionary<int
               int> freq = new Dictionary<int,
                                          int>();
    for(int i = 0; i < s.Length; i++)
        if(freq.ContainsKey(s[i]))
        {
            freq[s[i]] = freq[s[i]] + 1;
        }
        else
        {
            freq.Add(s[i], 1);
        }
  
    // To store the count of characters
    // whose number of occurrences is odd.
    int count = 0;
  
    // Iterating over the map
    foreach(KeyValuePair<int, int> it in freq) 
    {
        if (it.Value % 2 == 1)
            count++;
    }
      
    if (count > k)
        Console.Write("No" + "\n");
    else
        Console.Write("Yes" + "\n");
}
  
// Driver code
public static void Main(String[] args)
{
    String str = "poor";
    int K = 3;
    iskPalindromesPossible(str, K);
  
    str = "geeksforgeeks";
    K = 10;
    iskPalindromesPossible(str, K);
}
}
  
// This code is contributed by Princi Singh

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Output: 

Yes
Yes

 

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