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Permutation of given string that maximizes count of Palindromic substrings

  • Difficulty Level : Medium
  • Last Updated : 27 May, 2021

Given a string S, the task is to find the permutation of the string such that palindromic substrings in the string are maximum.
Note: There can be multiple answers for each string. 
Examples: 
 

Input: S = “abcb” 
Output: “abbc” 
Explanation: 
“abbc” is the string with maximum number of palindromic substrings. 
Palindromic Substrings are – {“a”, “b”, “b”, “c”, “abbc”}
Input: S = “oolol” 
Output: “ololo” 
 

 

Approach: The idea is to sort the characters of the string such that individually and together form a palindromic substring which will maximize the total palindromic substring possible for the permutation of the string.
Below is the implementation of the above approach:
 

C++




// C++ implementation to find the
// permutation of the given string
// such that palindromic substrings
// is maximum in the string
 
#include <bits/stdc++.h>
using namespace std;
 
// Function to find the permutation
// of the string such that the
// palindromic substrings are maximum
string maxPalindromicSubstring(string s){
     
    // Sorting the characters of  the
    // given string
    sort(s.begin(), s.end());
     
    cout << s;
     
    return s;
}
 
// Driver Code
int main()
{
    // String s
    string s = "abcb";
     
    // Function Call
    maxPalindromicSubstring(s);
    return 0;
}

Java




// Java implementation to find the
// permutation of the given string
// such that palindromic substrings
// is maximum in the string
import java.io.*;
import java.util.*;
 
class GFG {
     
// Function to find the permutation
// of the string such that the
// palindromic substrings are maximum
static String maxPalindromicSubstring(String s)
{
     
    // Convert input string to char array
    char tempArray[] = s.toCharArray();
         
    // Sorting the characters of the
    // given string
    Arrays.sort(tempArray);
         
    System.out.println(tempArray);
     
    // Return new sorted string
    return new String(tempArray);
}
 
// Driver code
public static void main(String[] args)
{
     
    // String s
    String s = "abcb";
     
    // Function Call
    maxPalindromicSubstring(s);
}
}
 
// This code is contributed by coder001

Python3




# Python3 implementation to find the
# permutation of the given string
# such that palindromic substrings
# is maximum in the string
 
# Function to find the permutation
# of the string such that the
# palindromic substrings are maximum
def maxPalindromicSubstring(s):
     
    # Sorting the characters of the
    # given string
    res = ''.join(sorted(s))
    s = str(res)
     
    print(s)
 
# Driver Code
if __name__ == '__main__':
     
    # String s
    s = "abcb"
     
    # Function Call
    maxPalindromicSubstring(s)
 
# This code is contributed by BhupendraSingh

C#




// C# implementation to find the
// permutation of the given string
// such that palindromic substrings
// is maximum in the string
using System;
class GFG{
     
// Function to find the permutation
// of the string such that the
// palindromic substrings are maximum
static String maxPalindromicSubstring(String s)
{
     
    // Convert input string to char array
    char []tempArray = s.ToCharArray();
         
    // Sorting the characters of the
    // given string
    Array.Sort(tempArray);
         
    Console.WriteLine(tempArray);
     
    // Return new sorted string
    return new String(tempArray);
}
 
// Driver code
public static void Main()
{
     
    // String s
    String s = "abcb";
     
    // Function Call
    maxPalindromicSubstring(s);
}
}
 
// This code is contributed by sapnasingh4991

Javascript




<script>
 
// Javascript implementation to find the
// permutation of the given string
// such that palindromic substrings
// is maximum in the string
 
// Function to find the permutation
// of the string such that the
// palindromic substrings are maximum
function maxPalindromicSubstring(s){
     
    // Sorting the characters of  the
    // given string
    s.sort();
     
    document.write(s.join(""))
     
    return s;
}
 
// Driver Code
// String s
var s = "abcb".split('');
 
// Function Call
maxPalindromicSubstring(s);
 
// This code is contributed by noob2000.
</script>
Output: 
abbc

 


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