Rotate List
                                
                                
                                    
                                
                                
                                    
                                        
                                            
                                                
                                
                                
                                    
                                        To solve this coding challenge, we need to rotate a given linked list to the right by 
                                    
                                
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                        
                                        
                                        
                                        
                                        
                                            
                                        
                                    
                                
                                
                            
                                            
                                                
                                
                                
                                    
                                         places, then return the head of the newly rotated list. Let's walk through the methodology for resolving this challenge.
                                    
                                
                                
                            
                                            
                                        
                                    
                                    
                                
                                
                            
                                
                                    
                                
                                
                                    
                                        
                                
                        
                    
                    
                
                    
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                                        # Explanation:
- Edge Cases Handling : First, we need to handle the possible edge cases:
 - 
                                            
                                
                                
                                    
                                        
                                            
                                                
                                
                                
                                    
                                        If the list is empty (
                                    
                                
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                        
                                        
                                        
                                        
                                        is
head) or contains only one node (Noneishead.next), or ifNoneisk, then the list remains unchanged.0 - 
                                            
                                
                                
                                    
                                        
                                            
                                                
                                
                                
                                    
                                        Calculate the Length
                                    
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                            
                                
                                
                                    
                                        
                                            
                                                
                                
                                
                                    
                                        : We traverse the linked list to calculate its length. This helps in dealing with scenarios where 
                                    
                                
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                        
                                        
                                        
                                        
                                        is larger than the length of the list.
k - 
                                            
                                
                                
                                    
                                        
                                            
                                                
                                
                                
                                    
                                        Make Circular
                                    
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                            
                                
                                
                                    
                                        
                                            
                                                
                                
                                
                                    
                                        : To easily rotate the list, we connect the last node back to the 
                                    
                                
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                        
                                        
                                        
                                        
                                        node, making the linked list circular.
head - 
                                            
                                
                                
                                    
                                        
                                            
                                                
                                
                                
                                    
                                        Find New Head
                                    
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                            
                                
                                
                                    
                                        
                                            
                                                
                                
                                
                                    
                                        : Compute the new head position by using the formula 
                                    
                                
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                        
                                        
                                        
                                        
                                        . This is because rotating
new_head_index = length - k % lengthplaces to the right is the same as rotatingkplaces to the right.k % length - 
                                            
                                
                                
                                    
                                        
                                            
                                                
                                
                                
                                    
                                        Break Circular Link
                                    
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                            
                                
                                
                                    
                                        
                                            
                                                
                                
                                
                                    
                                        : Traverse to the new head, update the 
                                    
                                
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                        
                                        
                                        
                                        
                                        , and break the circular link to finalize the rotated list.
head - Edge Cases Handling :
 - Calculate the Length of the List :
 - Make the List Circular :
 - Find the New Head :
 - Break the Circular Link and Set New Head :
 
Detailed Steps in Pseudocode:
                                            
IF head IS None OR head.next IS None OR k IS 0
RETURN head  # List remains unchanged
                                        
                                    
                                
                                
                            
                                            
                                        
                                    
                                    
                                
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                            
SET length TO 1
SET current_node TO head
WHILE current_node.next IS NOT None
current_node TO current_node.next
length TO length + 1
                                        
                                    
                                
                                
                            
                                            
                                        
                                    
                                    
                                
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                            
SET current_node.next TO head  # Making the list circular
                                        
                                    
                                
                                
                            
                                            
                                        
                                    
                                    
                                
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                            
SET new_head_index TO length - k % length - 1
SET new_head TO head
FOR i FROM 0 TO new_head_index
new_head TO new_head.next
                                        
                                    
                                
                                
                            
                                            
                                        
                                    
                                    
                                
                                
                            
                                            
                                                
                                
                                
                                    
                                        
                                            
SET head TO new_head.next  # New head after rotation
SET new_head.next TO None  # Breaking the circular link
RETURN head
                                        
                                    
                                
                                
                            
                                            
                                        
                                    
                                    
                                
                                
                            
                                            
                                        
                                            
# Function to rotate linked list to the right by k places
FUNCTION rotateRight(head, k)
    # Handling edge cases
    IF head IS None OR head.next IS None OR k IS 0
        RETURN head  # List remains unchanged
    
    # Calculate the length of the linked list
    SET length TO 1
    SET current_node TO head
    WHILE current_node.next IS NOT None
        current_node TO current_node.next
        length TO length + 1
    
    # Make the linked list circular
    SET current_node.next TO head
    
    # Find the new head's index after rotation
    SET new_head_index TO length - k % length - 1
    SET new_head TO head
    FOR i FROM 0 TO new_head_index
        new_head TO new_head.next
    # Set the new head and break the circular connection
    SET head TO new_head.next  # New head after rotation
    SET new_head.next TO None  # Breaking the circular link
    RETURN head
                                        
                                    
                                
                                
                            
                                
                                    
                                
                                
                                    
                                        This pseudocode ensures that the linked list is rotated correctly according to the problem constraints and handles all edge cases effectively.