Reverse Nodes In K Group

Explanation

To solve this coding challenge, we need to reverse the nodes of a linked list in groups of given size
k
without altering their values, just reordering the nodes themselves. Here's a detailed breakdown of how this can be achieved:
  1. Understanding the problem : Given a linked list, we need to reverse every
    k
    nodes. If
    k
    does not perfectly divide the length of the list, the remaining nodes at the end are left as they are.
  2. Constraints :
    • Reversing the nodes in groups of
      k
      .
    • If the number of nodes is not a multiple of
      k
      , remainder nodes will stay the same.
    • The solution should ideally use O(1) extra memory, meaning in-place modifications are preferred.
  3. Approach :
    • Firstly, write a helper function to reverse a sublist of
      k
      nodes within the linked list.
    • Secondly, traverse the whole linked list to determine the total number of nodes.
    • Use a dummy node to handle edge cases easily.
    • Reverse the nodes in groups of
      k
      and link them properly.
    Here is the breakdown of our approach in pseudocode:
    Detailed Steps in Pseudocode
  4. Define reverseLinkedList function : This function will reverse a portion of the linked list.
    •                                             
      FUNCTION reverseLinkedList(head, k):
      prev = NULL
      curr = head
      WHILE k > 0:
      next_node = curr.next  # Store the next node
      curr.next = prev       # Reverse the current node's pointer
      prev = curr            # Move prev to current node
      curr = next_node       # Move to next node
      k -= 1
      RETURN prev  # Return the new head of the reversed list
      
                                              
  5. Define getLength function : This function will calculate the length of the linked list.
    •                                             
      FUNCTION getLength(head):
      length = 0
      WHILE head != NULL:
      length += 1
      head = head.next
      RETURN length
      
                                              
  6. Main function to reverse nodes in groups of k :
    •                                             
      FUNCTION reverseKGroup(head, k):
      length = getLength(head)  # Determine the length of the list
      
      dummy = new ListNode(0)  # Create a dummy node
      dummy.next = head
      prev_group_end = dummy
      
      WHILE length >= k:
      group_start = prev_group_end.next  # Starting node of the group
      group_end = group_start
      
      FOR i = 1 TO k-1:  # Find the end of this k-group
      group_end = group_end.next
      
      next_group_start = group_end.next  # Node to start the next group
      group_end.next = NULL  # Temporarily break the link to the next group
      
      prev_group_end.next = reverseLinkedList(group_start, k)  # Reverse this k-group and connect it
      
      group_start.next = next_group_start  # Connect the previous group's start to the next group
      
      prev_group_end = group_start  # Move the prev_group_end to the end of the reversed group
      length -= k  # Reduce the length by k as we've processed this group
      
      RETURN dummy.next  # Return the head of the new modified list
      
                                              
By following these steps, we ensure that we correctly reverse the nodes in groups of
k
while maintaining the remainder nodes as they are if
k
does not divide the length of the list completely. The use of a dummy node simplifies edge cases like when the list has fewer nodes initially or when it gets completely reversed. This solution also aims to use O(1) extra memory by manipulating pointers directly without using additional data structures.