Reorder Linked List in DSA Javascript - Cheat Sheet & Quick Revision

Recall & Review

beginner

What does the 'Reorder Linked List' problem ask you to do?

It asks to rearrange a linked list so that nodes are ordered as first node, last node, second node, second last node, and so on.

intermediate

Which three main steps are used to solve the Reorder Linked List problem?

1. Find the middle of the list.
2. Reverse the second half.
3. Merge the two halves alternating nodes.

beginner

How do you find the middle of a linked list efficiently?

Use two pointers: a slow pointer moves one step at a time, a fast pointer moves two steps. When fast reaches the end, slow is at the middle.

intermediate

Why do we reverse the second half of the linked list in this problem?

Reversing the second half lets us easily merge nodes from the end of the list with nodes from the start in alternating order.

intermediate

What is the time complexity of the Reorder Linked List algorithm?

The time complexity is O(n) because each step (finding middle, reversing, merging) processes nodes linearly once.

What is the first step in the Reorder Linked List algorithm?

A Reverse the entire list

B Merge two lists

C Find the middle of the list

D Delete the last node

The first step is to find the middle of the list using two pointers.

Why do we use two pointers moving at different speeds?

A To delete nodes

B To reverse the list

C To merge two lists

D To find the middle node efficiently

Two pointers moving at different speeds help find the middle node in one pass.

After finding the middle, what do we do next?

A Reverse the second half of the list

B Delete the first half

C Sort the list

D Add new nodes

We reverse the second half to prepare for merging in alternating order.

What is the final step in the Reorder Linked List algorithm?

A Delete the middle node

B Merge the two halves alternating nodes

C Reverse the entire list

D Find the middle again

The final step is merging nodes from the first and reversed second half alternately.

What is the overall time complexity of the Reorder Linked List solution?

A O(n)

B O(n^2)

C O(log n)

D O(1)

Each step processes nodes linearly, so the total time is O(n).

Explain the three main steps to reorder a linked list in the required pattern.

Think about splitting the list, flipping part of it, then weaving nodes together.

Describe how the two-pointer technique helps in solving the Reorder Linked List problem.

One pointer moves twice as fast as the other.

Practice

1. What is the main goal of the Reorder Linked List problem?

easy

A. Rearrange the list so nodes alternate from start and end towards the center

B. Sort the linked list in ascending order

C. Reverse the entire linked list

D. Remove duplicate nodes from the linked list

Solution

1. Step 1: Understand the problem goal

   The problem asks to reorder nodes so the first node is followed by the last node, then second node, then second last, and so on.

2. Step 2: Differentiate from other operations

   This is not sorting or reversing the whole list, but alternating nodes from front and back.

3. Final Answer:

   Rearrange the list so nodes alternate from start and end towards the center -> Option A

4. Quick Check:

   Reorder Linked List = Alternate front and back nodes [OK]

Hint: Think of weaving nodes from front and back alternately [OK]

Common Mistakes:

• Confusing reorder with sorting
• Trying to reverse the entire list only
• Ignoring the alternating pattern

2. Which of the following code snippets correctly finds the middle node of a singly linked list in JavaScript?

easy

A. let slow = head; let fast = head.next; while(fast) { slow = slow.next; fast = fast.next; }

B. let slow = head; while(slow.next) { slow = slow.next.next; }

C. let fast = head; while(fast.next) { fast = fast.next.next; }

D. let slow = head, fast = head; while(fast && fast.next) { slow = slow.next; fast = fast.next.next; }

Solution

1. Step 1: Use two pointers to find middle

   Initialize two pointers: slow moves one step, fast moves two steps until fast reaches end.

2. Step 2: Check each option

   let slow = head, fast = head; while(fast && fast.next) { slow = slow.next; fast = fast.next.next; } correctly moves slow by one and fast by two steps in the loop condition.

3. Final Answer:

   let slow = head, fast = head; while(fast && fast.next) { slow = slow.next; fast = fast.next.next; } -> Option D

4. Quick Check:

   Fast moves twice, slow moves once to find middle [OK]

Hint: Use slow and fast pointers; fast moves twice as fast [OK]

Common Mistakes:

• Moving slow pointer incorrectly
• Not checking fast and fast.next in loop condition
• Starting fast pointer incorrectly

3. Given the linked list 1 -> 2 -> 3 -> 4 -> null, what will be the reordered list after applying the reorder algorithm?

medium

A. 1 -> 2 -> 3 -> 4 -> null

B. 4 -> 3 -> 2 -> 1 -> null

C. 1 -> 4 -> 2 -> 3 -> null

D. 1 -> 3 -> 2 -> 4 -> null

Solution

1. Step 1: Identify the reorder pattern

   The reorder pattern is first node, last node, second node, second last node, and so on.

2. Step 2: Apply pattern to list 1->2->3->4

   Start with 1, then 4, then 2, then 3, resulting in 1 -> 4 -> 2 -> 3 -> null.

3. Final Answer:

   1 -> 4 -> 2 -> 3 -> null -> Option C

4. Quick Check:

   Alternate front and back nodes = 1->4->2->3 [OK]

Hint: Alternate nodes from front and back to reorder [OK]

Common Mistakes:

• Reversing the entire list instead
• Not alternating nodes correctly
• Leaving list unchanged

4. Consider this buggy code snippet for reordering a linked list:

function reorderList(head) {
  if (!head) return;
  let slow = head, fast = head;
  while (fast.next && fast.next.next) {
    slow = slow.next;
    fast = fast.next.next;
  }
  let second = slow.next;
  slow.next = null;
  second = reverseList(second);
  let first = head;
  while (second) {
    let temp1 = first.next;
    let temp2 = second.next;
    first.next = second;
    second.next = temp1;
    first = temp1;
    second = temp2;
  }
}

function reverseList(head) {
  let prev = null;
  while (head) {
    let next = head.next;
    head.next = prev;
    prev = head;
    head = next;
  }
  return prev;
}

What is the bug in this code?

medium

A. The merging loop does not handle the case when first becomes null

B. The loop condition for finding middle is incorrect and may skip nodes

C. The reverseList function does not return the reversed list

D. The slow pointer is not moved correctly to split the list

Solution

1. Step 1: Analyze the merging loop

   The merging loop assumes first is never null, but if first becomes null before second, it causes errors.

2. Step 2: Identify missing null check

   There is no check if first is null before accessing first.next, which can cause runtime errors.

3. Final Answer:

   The merging loop does not handle the case when first becomes null -> Option A

4. Quick Check:

   Merging loop must check first != null to avoid errors [OK]

Hint: Check null before accessing next pointers in merge loop [OK]

Common Mistakes:

• Ignoring null checks in merging loop
• Thinking reverseList is faulty
• Misreading middle finding loop condition

5. You have a linked list with nodes: 1 -> 2 -> 3 -> 4 -> 5 -> null. After reordering, what will be the final linked list?

hard

A. 5 -> 4 -> 3 -> 2 -> 1 -> null

B. 1 -> 5 -> 2 -> 4 -> 3 -> null

C. 1 -> 3 -> 5 -> 2 -> 4 -> null

D. 1 -> 2 -> 3 -> 4 -> 5 -> null

Solution

1. Step 1: Understand reorder pattern for odd length list

   For odd length, reorder as first node, last node, second node, second last node, then middle node.

2. Step 2: Apply to list 1->2->3->4->5

   Sequence: 1 (first), 5 (last), 2 (second), 4 (second last), 3 (middle).

3. Final Answer:

   1 -> 5 -> 2 -> 4 -> 3 -> null -> Option B

4. Quick Check:

   Alternate front and back nodes with middle last [OK]

Hint: Alternate front and back nodes, middle stays last if odd length [OK]

Common Mistakes:

• Reversing entire list
• Not handling odd length middle node correctly
• Leaving list unchanged