Given a string S containing lowercase English alphabets, and a matrix shift[][] consisting of pairs of the form{direction, amount}, where the direction can be 0 (for left shift) or 1 (for right shift) and the amount is the number of indices by which the string S is required to be shifted. The task is to return the modified string that can be obtained after performing the given operations.
Note: A left shift by 1 refers to removing the first character of S and append it to the end. Similarly, a right shift by 1 refers to removing the last character of S and insert at the beginning.
Examples
Input: S = “abc”, shift[][] = {{0, 1}, {1, 2}}
Output: cab
Explanation:
[0, 1] refers to shifting S[0] to the left by 1. Therefore, the string S modifies from “abc” to “bca”.
[1, 2] refers to shifting S[0] to the right by 1. Therefore, the string S modifies from “bca”to “cab”.Input: S = “abcdefg”, shift[][] = { {1, 1}, {1, 1}, {0, 2}, {1, 3} }
Output: efgabcd
Explanation:
[1, 1] refers to shifting S[0] to the right by 1. Therefore, the string S modifies from “abcdefg” to “gabcdef”.
[1, 1] refers to shifting S[0] to the right by 1. Therefore, the string S modifies from “gabcdef” to “fgabcde”.
[0, 2] refers to shifting S[0] to the left by 2. Therefore, the string S modifies from “fgabcde” to “abcdefg”.
[1, 3] refers to shifting S[0] to the right by 3. Therefore, the string S modifies from “abcdefg” to “efgabcd”.
Naive Approach: The simplest approach to solve the problem is to traverse the matrix shift[][] and shift S[0] by amount number of indices in the specified direction. After completing all shift operations, print the final string obtained.
Time Complexity: O(N2)
Auxiliary space: O(N)
Efficient Approach: To optimize the above approach, follow the steps below:
- Initialize a variable, say val, to store the effective shifts.
- Traverse the matrix shift[][] and perform the following operations on every ith row:
- If shift[i][0] = 0 (left shift), then decrease val by -shift[i][1].
- Otherwise (left shift), increase val by shift[i][1].
- Update val = val % len (for further optimizing the effective shifts).
- Initialize a string, result = “”, to store the modified string.
- Now, check if val > 0. If found to be true, then perform the right rotation on the string by val.
- Otherwise, perform left rotation of the string by |val| amount.
- Print the result.
Below is the implementation of the above approach:
C++
// C++ implementation // of above approach #include <bits/stdc++.h> using namespace std; // Function to find the string obtained // after performing given shift operations void stringShift(string s, vector<vector< int > >& shift) { int val = 0; for ( int i = 0; i < shift.size(); ++i) // If shift[i][0] = 0, then left shift // Otherwise, right shift val += shift[i][0] == 0 ? -shift[i][1] : shift[i][1]; // Stores length of the string int len = s.length(); // Effective shift calculation val = val % len; // Stores modified string string result = "" ; // Right rotation if (val > 0) result = s.substr(len - val, val) + s.substr(0, len - val); // Left rotation else result = s.substr(-val, len + val) + s.substr(0, -val); cout << result; } // Driver Code int main() { string s = "abc" ; vector<vector< int > > shift = { { 0, 1 }, { 1, 2 } }; stringShift(s, shift); return 0; } |
Java
// Java implementation // of above approach import java.io.*; class GFG { // Function to find the string obtained // after performing given shift operations static void stringShift(String s, int [][] shift) { int val = 0 ; for ( int i = 0 ; i < shift.length; ++i) // If shift[i][0] = 0, then left shift // Otherwise, right shift if (shift[i][ 0 ] == 0 ) val -= shift[i][ 1 ]; else val += shift[i][ 1 ]; // Stores length of the string int len = s.length(); // Effective shift calculation val = val % len; // Stores modified string String result = "" ; // Right rotation if (val > 0 ) result = s.substring(len - val, (len - val) + val) + s.substring( 0 , len - val); // Left rotation else result = s.substring(-val, len + val) + s.substring( 0 , -val); System.out.println(result); } // Driver Code public static void main(String[] args) { String s = "abc" ; int [][] shift = new int [][] {{ 0 , 1 }, { 1 , 2 }}; stringShift(s, shift); } } // This code is contributed by Dharanendra L V |
C#
// C# implementation // of above approach using System; public class GFG { // Function to find the string obtained // after performing given shift operations static void stringShift(String s, int [,] shift) { int val = 0; for ( int i = 0; i < shift.GetLength(0); ++i) // If shift[i,0] = 0, then left shift // Otherwise, right shift if (shift[i,0] == 0) val -= shift[i, 1]; else val += shift[i, 1]; // Stores length of the string int len = s.Length; // Effective shift calculation val = val % len; // Stores modified string String result = "" ; // Right rotation if (val > 0) result = s.Substring(len - val, val) + s.Substring(0, len - val); // Left rotation else result = s.Substring(-val, len) + s.Substring(0, -val); Console.WriteLine(result); } // Driver Code public static void Main(String[] args) { String s = "abc" ; int [,] shift = new int [,] {{ 0, 1 }, { 1, 2 }}; stringShift(s, shift); } } // This code contributed by shikhasingrajput |
Python3
# Python implementation # of above approach # Function to find the string obtained # after performing given shift operations def stringShift(s, shift): val = 0 for i in range ( len (shift)): # If shift[i][0] = 0, then left shift # Otherwise, right shift val + = - shift[i][ 1 ] if shift[i][ 0 ] = = 0 else shift[i][ 1 ] # Stores length of the string Len = len (s) # Effective shift calculation val = val % Len # Stores modified string result = "" # Right rotation if (val > 0 ): result = s[ Len - val: Len ] + s[ 0 : Len - val] # Left rotation else : result = s[ - val: Len ] + s[ 0 : - val] print (result) # Driver Code s = "abc" shift = [ [ 0 , 1 ], [ 1 , 2 ] ] stringShift(s, shift) # This code is contributed by shinjanpatra |
Javascript
<script> // Javascript implementation // of above approach // Function to find the string obtained // after performing given shift operations function stringShift(s, shift) { var val = 0; for ( var i = 0; i < shift.length; ++i) // If shift[i][0] = 0, then left shift // Otherwise, right shift val += shift[i][0] == 0 ? -shift[i][1] : shift[i][1]; // Stores length of the string var len = s.length; // Effective shift calculation val = val % len; // Stores modified string var result = "" ; // Right rotation if (val > 0) result = s.substring(len - val,len) + s.substring(0, len - val); // Left rotation else result = s.substring(-val, len ) + s.substring(0, -val); document.write( result); } // Driver Code var s = "abc" ; var shift = [ [ 0, 1 ], [ 1, 2 ] ]; stringShift(s, shift); // This code is contributed by importantly. </script> |
cab
Time Complexity: O(N)
Auxiliary Space: O(N)
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