Javascript Program to Rotate digits of a given number by K

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Given two integers N and K, the task is to rotate the digits of N by K. If K is a positive integer, left rotate its digits. Otherwise, right rotate its digits.

Examples:

Input: N = 12345, K = 2
Output: 34512
Explanation:
Left rotating N(= 12345) by K(= 2) modifies N to 34512.
Therefore, the required output is 34512

Input: N = 12345, K = -3
Output: 34512
Explanation:
Right rotating N(= 12345) by K( = -3) modifies N to 34512.
Therefore, the required output is 34512

Approach: Follow the steps below to solve the problem:

Initialize a variable, say X, to store the count of digits in N.
Update K = (K + X) % X to reduce it to a case of left rotation.
Remove the first K digits of N and append all the removed digits to the right of the digits of N.
Finally, print the value of N.

Below is the implementation of the above approach:

Javascript

<script> 
// Javascript program to implement 
// the above approach 
  
    // Function to find the count of 
    // digits in N 
    function numberOfDigit(N) 
    { 
   
        // Stores count of 
        // digits in N 
        let digit = 0; 
   
        // Calculate the count 
        // of digits in N 
        while (N > 0) { 
   
            // Update digit 
            digit++; 
   
            // Update N 
            N = Math.floor( N / 10); 
        } 
        return digit; 
    } 
   
    // Function to rotate the digits of N by K 
    function rotateNumberByK(N, K) 
    { 
   
        // Stores count of digits in N 
        let X = numberOfDigit(N); 
   
        // Update K so that only need to 
        // handle left rotation 
        K = ((K % X) + X) % X; 
   
        // Stores first K digits of N 
        let left_no = Math.floor (N / Math.floor(Math.pow(10, 
                                         X - K))); 
   
        // Remove first K digits of N 
        N = N % Math.floor(Math.pow(10, X - K)); 
   
        // Stores count of digits in left_no 
        let left_digit = numberOfDigit(left_no); 
   
        // Append left_no to the right of 
        // digits of N 
        N = (N * Math.floor(Math.pow(10, left_digit))) 
            + left_no; 
   
        document.write(N); 
    } 
  
// Driver Code 
  
    let N = 12345, K = 7; 
   
        // Function Call 
        rotateNumberByK(N, K); 
    
  // This code is contributed by souravghosh0416. 
</script> 

Output:

Time Complexity: O(log₁₀N)
Auxiliary Space: O(1)

Please refer complete article on Rotate digits of a given number by K for more details!

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