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Problem: Maximum Twin Sum of a Linked List

med
30 min
Explore how to calculate the maximum twin sum in an even-length linked list by pairing nodes from opposite ends using fast and slow pointer techniques. This lesson helps you understand the problem and implement an efficient solution suitable for coding interviews.

Statement

In a linked list with an even number of nodes (nn), each node at position ii (using 00-based indexing) is paired with the node at position (n1in - 1 - i). These pairs are called twins for all 0i<n/20 ≤ i < n/2.

For example, if n=4n = 4, the twin pairs are:

  • The node at index 00 pairs with the node at index 33.

  • The node at index 11 pairs with the node at index 22.

The twin sum is the sum of a node’s value and its twin’s value. Given the head of a linked list with an even number of nodes, return the maximum twin sum among all pairs.

Constraints:

  • The list contains an even number of nodes in the range [2,103][2, 10^3].

  • 11 \leq Node.value 103\leq 10^3

Tap here to switch tabs
Problem
Ask
Submissions

Problem: Maximum Twin Sum of a Linked List

med
30 min
Explore how to calculate the maximum twin sum in an even-length linked list by pairing nodes from opposite ends using fast and slow pointer techniques. This lesson helps you understand the problem and implement an efficient solution suitable for coding interviews.

Statement

In a linked list with an even number of nodes (nn), each node at position ii (using 00-based indexing) is paired with the node at position (n1in - 1 - i). These pairs are called twins for all 0i<n/20 ≤ i < n/2.

For example, if n=4n = 4, the twin pairs are:

  • The node at index 00 pairs with the node at index 33.

  • The node at index 11 pairs with the node at index 22.

The twin sum is the sum of a node’s value and its twin’s value. Given the head of a linked list with an even number of nodes, return the maximum twin sum among all pairs.

Constraints:

  • The list contains an even number of nodes in the range [2,103][2, 10^3].

  • 11 \leq Node.value 103\leq 10^3