Question 32 of 75 - LeetCode Weekly Challenge

LeetCode Challenge #2130. Maximum Twin Sum of a Linked List

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:

eg1drawio

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:

eg2drawio

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:

eg3drawio

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
Video Solution
C++ Solution
				
					class Solution {
public:
    int pairSum(ListNode* head) {

        if(!head)return 0;
        // either reverse the linkedList and calculate or
        // save it in a vector and calculate

        vector<int> v;

        while(head)
        {
            v.push_back(head->val);
            head=head->next;
        }

        if(v.size()==1)return v[0];
        int i=0,j=v.size()-1;
        int maxSum=INT_MIN;
        while(i<j)
        {
            maxSum=max(maxSum, v[i]+v[j]);
            i++;
            j--;
        }
        return maxSum;
    }
};
				
			

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