Lexicographical concatenation of all substrings of a string

Given a string, find concatenation of all substrings in lexicographic order.

Examples:

Input : s = “abc”
Output : aababcbbcc
The substrings of s in lexicographic order are “a”, “b”, “c”, “ab”, “abc”, “bc”. Concatenation of substrings is “a”+”ab”+”abc”+”b”+”bc”+”c” = “aababcbbcc”.

Input : s = “cba”
Output : abbaccbcba



1. Find all the substrings of string and store it in a string array. The size of array would be n*(n+1)/2 where n is length of input string.
2. Sort the string array to make them all in lexicographical order.
3. Concatenate the strings of string array in another empty string.

C++

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// CPP Program to create concatenation of all
// substrings in lexicographic order.
#include <bits/stdc++.h>
using namespace std;
  
string lexicographicSubConcat(string s)
{
    int n = s.length();
  
    // Creating an array to store substrings
    int sub_count = n*(n+1)/2;
    string arr[sub_count];     
  
    // finding all substrings of string
    int index = 0;
    for (int i = 0; i < n; i++) 
        for (int len = 1; len <= n - i; len++) 
            arr[index++] = s.substr(i, len);
      
    // Sort all substrings in lexicographic
    // order
    sort(arr, arr + sub_count); 
  
    // Concatenating all substrings
    string res = "";
    for (int i = 0; i < sub_count; i++) 
        res += arr[i];     
          
    return res;    
}
  
int main()
{
    string s = "abc"; 
    cout << lexicographicSubConcat(s);
    return 0;
} 

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Java














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// Java Program to create concatenation of all 


// substrings in lexicographic order. 


import java.util.*; 


  


class GFG  


{ 


      


  


static String lexicographicSubConcat(String s) 


{ 


    int n = s.length(); 


  


    // Creating an array to store substrings 


    int sub_count = n*(n+1)/2; 


    String []arr = new String[sub_count];      


  


    // finding all substrings of string 


    int index = 0; 


    for (int i = 0; i < n; i++)  


        for (int len = 1; len <= n - i; len++)  


        { 


                arr[index++] = s.substring(i, i+len); 


        } 


    // Sort all substrings in lexicographic 


    // order 


    Arrays.sort(arr);  


  


    // Concatenating all substrings 


    String res = ""; 


    for (int i = 0; i < sub_count; i++)  


        res += arr[i];      


          


    return res;  


} 


  


// Driver code 


public static void main(String[] args)  


{ 


    String s = "abc";  


    System.out.println(lexicographicSubConcat(s)); 


} 


} 


  


// This code has been contributed by 29AjayKumar 



















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Python3














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# Python Program to create concatenation of all 


# substrings in lexicographic order. 


  


def lexicographicSubConcat(s): 


    n = len(s); 


  


    # Creating an array to store substrings 


    sub_count = (n * (n + 1))//2; 


    arr = [0]*sub_count;      


  


    # finding all substrings of string 


    index = 0; 


    for i in range(n): 


        for j in range(1,n - i + 1): 


            arr[index] = s[i:i + j]; 


            index += 1; 


      


    # Sort all substrings in lexicographic 


    # order 


    arr.sort();  


  


    # Concatenating all substrings 


    res = ""; 


    for i in range(sub_count): 


        res += arr[i];      


          


    return res;  


  


s = "abc";  


print(lexicographicSubConcat(s)); 


  


# This code is contributed by Princi Singh 



















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C#














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// C# Program to create concatenation of all 


// substrings in lexicographic order. 


using System;      


      


class GFG  


{ 


      


static String lexicographicSubConcat(String s) 


{ 


    int n = s.Length; 


  


    // Creating an array to store substrings 


    int sub_count = n*(n+1)/2; 


    String []arr = new String[sub_count];      


  


    // finding all substrings of string 


    int index = 0; 


    for (int i = 0; i < n; i++)  


        for (int len = 1; len <= n - i; len++)  


        { 


            arr[index++] = s.Substring(i, len); 


        } 


          


    // Sort all substrings in lexicographic 


    // order 


    Array.Sort(arr);  


  


    // Concatenating all substrings 


    String res = ""; 


    for (int i = 0; i < sub_count; i++)  


        res += arr[i];      


          


    return res;  


} 


  


// Driver code 


public static void Main(String[] args)  


{ 


    String s = "abc";  


    Console.WriteLine(lexicographicSubConcat(s)); 


} 


} 


  


/* This code contributed by PrinciRaj1992 */



















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Output: 


aababcbbcc





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