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:
- If the value of freqS[i] and freqT[i] are 0 or the value of freqS[i] is equal to N*freq[T], then continue the iteration.
- Otherwise, initialize a boolean variable, say A as true and break out of the loop.
- 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> |
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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