LeetCode-in-Java

2130. Maximum Twin Sum of a Linked List

Medium

In a linked list of size n, where n is even, the ith node (0-indexed) of the linked list is known as the twin of the (n-1-i)th node, if 0 <= i <= (n / 2) - 1.

The twin sum is defined as the sum of a node and its twin.

Given the head of a linked list with even length, return the maximum twin sum of the linked list.

Example 1:

Input: head = [5,4,2,1]

Output: 6

Explanation:

Nodes 0 and 1 are the twins of nodes 3 and 2, respectively. All have twin sum = 6.

There are no other nodes with twins in the linked list.

Thus, the maximum twin sum of the linked list is 6.

Example 2:

Input: head = [4,2,2,3]

Output: 7

Explanation:

The nodes with twins present in this linked list are:

Thus, the maximum twin sum of the linked list is max(7, 4) = 7.

Example 3:

Input: head = [1,100000]

Output: 100001

Explanation:

There is only one node with a twin in the linked list having twin sum of 1 + 100000 = 100001.

Constraints:

Solution

import com_github_leetcode.ListNode;

public class Solution {
    public int pairSum(ListNode head) {
        if (head == null) {
            return 0;
        }
        int maxSum = Integer.MIN_VALUE;
        ListNode slow = head;
        ListNode fast = head;
        while (fast != null && fast.next != null) {
            slow = slow.next;
            fast = fast.next.next;
        }
        if (slow.next == null) {
            return head.val + slow.val;
        }
        ListNode tail = head;
        ListNode pivot = reverse(slow);
        while (pivot != null) {
            maxSum = Math.max(maxSum, (tail.val + pivot.val));
            tail = tail.next;
            pivot = pivot.next;
        }
        return maxSum;
    }

    private ListNode reverse(ListNode head) {
        ListNode tail = head;
        ListNode prev = null;
        while (tail != null) {
            ListNode temp = tail.next;
            tail.next = prev;
            prev = tail;
            tail = temp;
        }
        return prev;
    }
}