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Convert given Strings into T by replacing characters in between strings any number of times

Given an array, arr[] of N strings and a string T of size M, the task is to check if it is possible to make all the strings in the array arr[] same as the string T by removing any character from one string, say arr[i] and inserting it at any position to another string arr[j] any number of times.

Examples:

Input: arr[] = {“abc”, “abb”, “acc”}, T = “abc”
Output: Yes
Explanation:
Below is one of the possible way to make the all strings in the array to the string T is:

  • Remove character at index 2 of the string arr[1](= “abb”) and then insert it at the index 1 of the string arr[2](= “acc”). After this the array modifies to {“abc”, “”ab”, “abcc”}.
  • Remove character at index 3 of the string arr[2](= “abcc”) and then insert it at the index 2 of the string arr[1]( = “ab”). After this the array modifies to {“abc”, “”abc”, “abc”}.

After the above steps, all the strings of the array arr[] are equal to the string T(= abc). Therefore, print Yes.

Input: arr[] = {“abc”, “bbb”, “ccc”}, T = “abc”
Output: No

Approach: The given problem can be solved based on the following observation that the output will be “Yes” if and only if the following conditions are satisfied:

  • None the string contains any character which is not present in T.
  • All the characters of T must be present N times in all the given strings of S[] combined.

Follow the steps to solve the problem:

  • Initialize two arrays, say freqS[256] and freqT[256] with value 0 to store the frequency of characters present in all strings of the array, arr[] and the string T respectively.
  • Traverse the given array of strings arr[] and store the frequency of character for every string in the array freqS[].
  • Iterate over the characters of the string T and store the frequency of character of the string T in the array freqT[].
  • Iterate in the range [0, 255] using the variable i and perform the following steps:
  • After completing the above steps, if the value of A is true, then print “No”. Otherwise, print “Yes“.

Below is the implementation of the above approach:

C++




// C++ program for the above approach
#include <iostream>
using namespace std;
 
// Function to check if it possible
// to make all the strings equal to
// the string T
string checkIfPossible(int N, string arr[], string T)
{
   
    // Stores the frequency of all
    // the strings in the array arr[]
    int freqS[256] = {0};
 
    // Stores the frequency of the
    // string T
    int freqT[256] = {0};
 
    // Iterate over the characters
    // of the string T
    for (char ch : T) {
        freqT[ch - 'a']++;
    }
 
    // Iterate in the range [0, N-1]
    for (int i = 0; i < N; i++) {
 
        // Iterate over the characters
        // of the string arr[i]
        for (char ch : arr[i]) {
            freqS[ch - 'a']++;
        }
    }
 
    for (int i = 0; i < 256; i++) {
 
        // If freqT[i] is 0 and
        // freqS[i] is not 0
        if (freqT[i] == 0
            && freqS[i] != 0) {
            return "No";
        }
 
        // If freqS[i] is 0 and
        // freqT[i] is not 0
        else if (freqS[i] == 0
                 && freqT[i] != 0) {
            return "No";
        }
 
        // If freqS[i] is not freqT[i]*N
        else if (freqT[i] != 0
                 && freqS[i]
                        != (freqT[i] * N)) {
            return "No";
        }
    }
 
    // Otherwise, return "Yes"
    return "Yes";
}
 
// Driver Code
int main() {
 
    string arr[] = { "abc", "abb", "acc" };
    string T = "abc";
    int N = sizeof(arr) / sizeof(arr[0]);
    cout << checkIfPossible(N, arr, T);
    return 0;
}
 
// This code is contributed by Dharanendra L V.


Java




// Java program for the above approach
 
public class GFG {
 
    // Function to check if it possible
    // to make all the strings equal to
    // the string T
    static String checkIfPossible(
        int N, String[] arr, String T)
    {
        // Stores the frequency of all
        // the strings in the array arr[]
        int[] freqS = new int[256];
 
        // Stores the frequency of the
        // string T
        int[] freqT = new int[256];
 
        // Iterate over the characters
        // of the string T
        for (char ch : T.toCharArray()) {
            freqT[ch - 'a']++;
        }
 
        // Iterate in the range [0, N-1]
        for (int i = 0; i < N; i++) {
 
            // Iterate over the characters
            // of the string arr[i]
            for (char ch : arr[i].toCharArray()) {
                freqS[ch - 'a']++;
            }
        }
 
        for (int i = 0; i < 256; i++) {
 
            // If freqT[i] is 0 and
            // freqS[i] is not 0
            if (freqT[i] == 0
                && freqS[i] != 0) {
                return "No";
            }
 
            // If freqS[i] is 0 and
            // freqT[i] is not 0
            else if (freqS[i] == 0
                     && freqT[i] != 0) {
                return "No";
            }
 
            // If freqS[i] is not freqT[i]*N
            else if (freqT[i] != 0
                     && freqS[i]
                            != (freqT[i] * N)) {
                return "No";
            }
        }
 
        // Otherwise, return "Yes"
        return "Yes";
    }
 
    // Driver Code
    public static void main(String[] args)
    {
        String[] arr = { "abc", "abb", "acc" };
        String T = "abc";
        int N = arr.length;
        System.out.println(
            checkIfPossible(N, arr, T));
    }
}


Python3




# Python3 program for the above approach
 
# Function to check if it possible
# to make all the strings equal to
# the T
def checkIfPossible(N, arr, T):
 
    # Stores the frequency of all
    # the strings in the array arr[]
    freqS = [0] * 256
 
    # Stores the frequency of the
    # T
    freqT = [0] * 256
 
    # Iterate over the characters
    # of the T
    for ch in T:
        freqT[ord(ch) - ord('a')] += 1
 
    # Iterate in the range [0, N-1]
    for i in range(N):
         
        # Iterate over the characters
        # of the arr[i]
        for ch in arr[i]:
            freqS[ord(ch) - ord('a')] += 1
 
    for i in range(256):
         
        # If freqT[i] is 0 and
        # freqS[i] is not 0
        if (freqT[i] == 0 and freqS[i] != 0):
            return "No"
 
        # If freqS[i] is 0 and
        # freqT[i] is not 0
        elif (freqS[i] == 0 and freqT[i] != 0):
            return "No"
             
        # If freqS[i] is not freqT[i]*N
        elif (freqT[i] != 0 and freqS[i]!= (freqT[i] * N)):
            return "No"
 
    # Otherwise, return "Yes"
    return "Yes"
 
# Driver Code
if __name__ == '__main__':
     
    arr = [ "abc", "abb", "acc" ]
    T = "abc"
    N = len(arr)
     
    print(checkIfPossible(N, arr, T))
 
# This code is contributed by mohit kumar 29


C#




// c# program for the above approach
using System;
public class GFG {
 
    // Function to check if it possible
    // to make all the strings equal to
    // the string T
    static string checkIfPossible(int N, string[] arr,
                                  string T)
    {
        // Stores the frequency of all
        // the strings in the array arr[]
        int[] freqS = new int[256];
 
        // Stores the frequency of the
        // string T
        int[] freqT = new int[256];
 
        // Iterate over the characters
        // of the string T
        foreach(char ch in T.ToCharArray())
        {
            freqT[ch - 'a']++;
        }
 
        // Iterate in the range [0, N-1]
        for (int i = 0; i < N; i++) {
 
            // Iterate over the characters
            // of the string arr[i]
            foreach(char ch in arr[i].ToCharArray())
            {
                freqS[ch - 'a']++;
            }
        }
 
        for (int i = 0; i < 256; i++) {
 
            // If freqT[i] is 0 and
            // freqS[i] is not 0
            if (freqT[i] == 0 && freqS[i] != 0) {
                return "No";
            }
 
            // If freqS[i] is 0 and
            // freqT[i] is not 0
            else if (freqS[i] == 0 && freqT[i] != 0) {
                return "No";
            }
 
            // If freqS[i] is not freqT[i]*N
            else if (freqT[i] != 0
                     && freqS[i] != (freqT[i] * N)) {
                return "No";
            }
        }
 
        // Otherwise, return "Yes"
        return "Yes";
    }
 
    // Driver Code
    public static void Main(string[] args)
    {
        string[] arr = { "abc", "abb", "acc" };
        string T = "abc";
        int N = arr.Length;
        Console.WriteLine(checkIfPossible(N, arr, T));
    }
}
 
// This code is contributed by ukasp.


Javascript




<script>
// Javascript program for the above approach
 
 
// Function to check if it possible
// to make all the strings equal to
// the string T
function checkIfPossible(N, arr, T)
{
   
    // Stores the frequency of all
    // the strings in the array arr[]
    let freqS = new Array(256).fill(0);
 
    // Stores the frequency of the
    // string T
    let freqT = new Array(256).fill(0);
 
    // Iterate over the characters
    // of the string T
    for (let ch of T) {
        freqT[ch.charCodeAt(0) - 'a'.charCodeAt(0)]++;
    }
 
    // Iterate in the range [0, N-1]
    for (let i = 0; i < N; i++) {
 
        // Iterate over the characters
        // of the string arr[i]
        for (let ch of arr[i]) {
            freqS[ch.charCodeAt(0) - 'a'.charCodeAt(0)]++;
        }
    }
 
    for (let i = 0; i < 256; i++) {
 
        // If freqT[i] is 0 and
        // freqS[i] is not 0
        if (freqT[i] == 0 && freqS[i] != 0) {
            return "No";
        }
 
        // If freqS[i] is 0 and
        // freqT[i] is not 0
        else if (freqS[i] == 0 && freqT[i] != 0) {
            return "No";
        }
 
        // If freqS[i] is not freqT[i]*N
        else if (freqT[i] != 0
                 && freqS[i]
                        != (freqT[i] * N)) {
            return "No";
        }
    }
 
    // Otherwise, return "Yes"
    return "Yes";
}
 
// Driver Code
 
    let arr = [ "abc", "abb", "acc" ];
    let T = "abc";
    let N = arr.length;
    document.write(checkIfPossible(N, arr, T));
 
// This code is contributed by gfgking
</script>


Output: 

Yes

 

Time Complexity: O(N*L + M), Where L is the length of the longest string in the array arr[].
Auxiliary Space: O(26)

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