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2130. Maximum Twin Sum of a Linked List

Description

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.

  • For example, if n = 4, then node 0 is the twin of node 3, and node 1 is the twin of node 2. These are the only nodes with twins for n = 4.

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:
- Node 0 is the twin of node 3 having a twin sum of 4 + 3 = 7.
- Node 1 is the twin of node 2 having a twin sum of 2 + 2 = 4.
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:

  • The number of nodes in the list is an even integer in the range [2, 105].
  • 1 <= Node.val <= 105

Solutions

  • /**
     * Definition for singly-linked list.
     * public class ListNode {
     *     int val;
     *     ListNode next;
     *     ListNode() {}
     *     ListNode(int val) { this.val = val; }
     *     ListNode(int val, ListNode next) { this.val = val; this.next = next; }
     * }
     */
    class Solution {
        public int pairSum(ListNode head) {
            List<Integer> s = new ArrayList<>();
            for (; head != null; head = head.next) {
                s.add(head.val);
            }
            int ans = 0, n = s.size();
            for (int i = 0; i < (n >> 1); ++i) {
                ans = Math.max(ans, s.get(i) + s.get(n - 1 - i));
            }
            return ans;
        }
    }
    
  • /**
     * Definition for singly-linked list.
     * struct ListNode {
     *     int val;
     *     ListNode *next;
     *     ListNode() : val(0), next(nullptr) {}
     *     ListNode(int x) : val(x), next(nullptr) {}
     *     ListNode(int x, ListNode *next) : val(x), next(next) {}
     * };
     */
    class Solution {
    public:
        int pairSum(ListNode* head) {
            vector<int> s;
            for (; head != nullptr; head = head->next) s.push_back(head->val);
            int ans = 0, n = s.size();
            for (int i = 0; i < (n >> 1); ++i) ans = max(ans, s[i] + s[n - i - 1]);
            return ans;
        }
    };
    
  • # Definition for singly-linked list.
    # class ListNode:
    #     def __init__(self, val=0, next=None):
    #         self.val = val
    #         self.next = next
    class Solution:
        def pairSum(self, head: Optional[ListNode]) -> int:
            s = []
            while head:
                s.append(head.val)
                head = head.next
            n = len(s)
            return max(s[i] + s[-(i + 1)] for i in range(n >> 1))
    
    
  • /**
     * Definition for singly-linked list.
     * type ListNode struct {
     *     Val int
     *     Next *ListNode
     * }
     */
    func pairSum(head *ListNode) int {
    	var s []int
    	for ; head != nil; head = head.Next {
    		s = append(s, head.Val)
    	}
    	ans, n := 0, len(s)
    	for i := 0; i < (n >> 1); i++ {
    		if ans < s[i]+s[n-i-1] {
    			ans = s[i] + s[n-i-1]
    		}
    	}
    	return ans
    }
    
  • /**
     * Definition for singly-linked list.
     * class ListNode {
     *     val: number
     *     next: ListNode | null
     *     constructor(val?: number, next?: ListNode | null) {
     *         this.val = (val===undefined ? 0 : val)
     *         this.next = (next===undefined ? null : next)
     *     }
     * }
     */
    
    function pairSum(head: ListNode | null): number {
        const arr = [];
        let node = head;
        while (node) {
            arr.push(node.val);
            node = node.next;
        }
        const n = arr.length;
        let ans = 0;
        for (let i = 0; i < n >> 1; i++) {
            ans = Math.max(ans, arr[i] + arr[n - 1 - i]);
        }
        return ans;
    }
    
    
  • // Definition for singly-linked list.
    // #[derive(PartialEq, Eq, Clone, Debug)]
    // pub struct ListNode {
    //   pub val: i32,
    //   pub next: Option<Box<ListNode>>
    // }
    //
    // impl ListNode {
    //   #[inline]
    //   fn new(val: i32) -> Self {
    //     ListNode {
    //       next: None,
    //       val
    //     }
    //   }
    // }
    impl Solution {
        pub fn pair_sum(head: Option<Box<ListNode>>) -> i32 {
            let mut arr = Vec::new();
            let mut node = &head;
            while node.is_some() {
                let t = node.as_ref().unwrap();
                arr.push(t.val);
                node = &t.next;
            }
            let n = arr.len();
            let mut ans = 0;
            for i in 0..n >> 1 {
                ans = ans.max(arr[i] + arr[n - 1 - i]);
            }
            ans
        }
    }
    
    

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