Reorder Linked List in DSA Rust - 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.

intermediate

Why do we reverse the second half of the linked list in the reorder process?

Reversing the second half allows easy merging from the end towards the middle, matching the required order.

advanced

In Rust, what is a common challenge when manipulating linked lists?

Handling ownership and borrowing rules safely, especially when changing pointers between nodes.

beginner

What is the time complexity of the reorder linked list algorithm?

O(n), where n is the number of nodes, because each step (finding middle, reversing, merging) takes linear time.

What is the first step in reordering a linked list?

A Delete the last node

B Reverse the entire list

C Merge two lists

D Find the middle of the list

Finding the middle helps split the list into two parts for reordering.

Why do we reverse the second half of the linked list?

A To sort the list

B To prepare for merging in the required order

C To delete nodes

D To find the middle

Reversing the second half allows merging nodes from the end towards the middle.

What is the final step in the reorder linked list algorithm?

A Merge the two halves alternating nodes

B Reverse the first half

C Find the middle node

D Delete the middle node

Merging the two halves alternately creates the reordered list.

What is the time complexity of the reorder linked list algorithm?

A O(n^2)

B O(log n)

C O(n)

D O(1)

Each step runs in linear time, so overall complexity is O(n).

Which Rust feature makes linked list manipulation tricky?

A Ownership and borrowing rules

B Macros

C Pattern matching

D Enums

Ownership and borrowing rules require careful handling of pointers.

Explain the three main steps to reorder a linked list.

Think about splitting, reversing, and merging.

Describe why reversing the second half of the list is necessary in the reorder process.

Consider the order of nodes after reordering.

Practice

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

easy

A. Sort the linked list in ascending order

B. Reverse the entire linked list

C. Rearrange the list so nodes alternate from start and end

D. Remove duplicate nodes from the list

Solution

1. Step 1: Understand the reorder pattern

   The reorder linked list problem requires rearranging nodes so the first node is followed by the last node, then the second node, then the second last node, and so on.

2. Step 2: Differentiate from other operations

   This is different from sorting, reversing, or removing duplicates because it mixes nodes from both ends alternatively.

3. Final Answer:

   Rearrange the list so nodes alternate from start and end -> Option C

4. Quick Check:

   Reorder = alternate start and end nodes [OK]

Hint: Remember: reorder mixes front and back nodes alternately [OK]

Common Mistakes:

• Confusing reorder with sorting
• Thinking reorder means full reversal
• Assuming duplicates are removed

2. Which Rust syntax correctly defines a singly linked list node struct for Reorder Linked List?

easy

A. struct Node { val: i32, next: Option }

B. struct Node { val: i32, next: &Node }

C. struct Node { val: i32, next: Box<Node> }

D. struct Node { val: i32, next: Option<Node> }

Solution

1. Step 1: Understand Rust ownership for linked lists

   Rust requires using Option for the next pointer to allow nullable and heap allocation.

2. Step 2: Check each option

   struct Node { val: i32, next: Option } uses Option which is correct. struct Node { val: i32, next: &Node } uses a reference which is invalid for ownership. struct Node { val: i32, next: Box<Node> } misses Option so no null. struct Node { val: i32, next: Option<Node> } uses Option<Node> which is invalid because Node is not sized.

3. Final Answer:

   struct Node { val: i32, next: Option } -> Option A

4. Quick Check:

   Rust linked list node = Option [OK]

Hint: Use Option for nullable next pointer in Rust [OK]

Common Mistakes:

• Using references instead of Box for next
• Omitting Option causing compile errors
• Using non-boxed Node causing size errors

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

medium

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

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

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

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

Solution

1. Step 1: Identify the reorder pattern on the list

   Start with first node (1), then last node (4), then second node (2), then second last node (3).

2. Step 2: Write the reordered list

   The reordered list is 1 -> 4 -> 2 -> 3 -> null.

3. Final Answer:

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

4. Quick Check:

   Reorder 1-2-3-4 = 1-4-2-3 [OK]

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

Common Mistakes:

• Reversing entire list instead of alternating
• Keeping original order unchanged
• Swapping adjacent nodes incorrectly

4. Consider this Rust function snippet for reordering a linked list:

fn reorder_list(head: &mut Option) {
    let mut slow = head.as_ref();
    let mut fast = head.as_ref();
    while fast.is_some() && fast.unwrap().next.is_some() {
        slow = slow.unwrap().next.as_ref();
        fast = fast.unwrap().next.as_ref().unwrap().next.as_ref();
    }
}

What is the main issue in this code?

medium

A. The loop condition is incorrect and causes infinite loop

B. Using as_ref() causes immutable borrow, preventing mutation later

C. The unwrap calls will panic if list is empty

D. The slow pointer moves too fast skipping nodes

Solution

1. Step 1: Analyze use of as_ref()

   Using as_ref() creates an immutable reference, so slow and fast cannot be used to mutate the list later.

2. Step 2: Understand mutation needs in reorder

   Reordering requires mutable access to split and merge nodes, so immutable borrows block this.

3. Final Answer:

   Using as_ref() causes immutable borrow, preventing mutation later -> Option B

4. Quick Check:

   Immutable borrow blocks mutation in reorder [OK]

Hint: Use mutable references, not as_ref(), to modify list [OK]

Common Mistakes:

• Ignoring borrow rules causing compile errors
• Assuming unwrap always safe without checks
• Misunderstanding pointer movement speed

5. You have a linked list 1 -> 2 -> 3 -> 4 -> 5 -> null. After splitting the list into two halves, reversing the second half, and merging alternately, what is the final reordered list?

hard

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

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

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

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

Solution

1. Step 1: Split the list into two halves

   For 1->2->3->4->5, the middle is at 3, so first half: 1->2->3, second half: 4->5.

2. Step 2: Reverse the second half

   Reverse 4->5 to get 5->4.

3. Step 3: Merge alternately

   Merge nodes from first and reversed second half: 1->5->2->4->3->null.

4. Final Answer:

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

5. Quick Check:

   Split, reverse second half, merge = 1-5-2-4-3 [OK]

Hint: Split, reverse second half, then merge alternately [OK]

Common Mistakes:

• Not reversing second half before merge
• Merging without alternating nodes
• Incorrect middle node calculation