Maximum Number of Operations With the Same Score I

Problem Description

You are given an array of integers nums. Consider the following operation:

• Delete the first two elements nums and define the score of the operation as the sum of these two elements.

You can perform this operation until nums contains fewer than two elements. Additionally, the same score must be achieved in all operations.

Return the maximum number of operations you can perform.

Key Insights

• You can only perform operations as long as the score remains constant.
• The score for each operation is determined by the sum of the first two elements.
• To maximize the number of operations, you need to find pairs of elements that yield the same score.

Space and Time Complexity

Time Complexity: O(n^2)
Space Complexity: O(1)

Solution

The approach involves simulating the process of removing the first two elements and calculating their scores. We can utilize a hash map (or dictionary) to keep track of how many times each score can be achieved, and then find the maximum count of operations corresponding to the same score.

1. Create a variable to store the maximum operations.
2. Use a loop to iterate through the array while calculating the score of the first two elements.
3. Store each score in a hash map and count how many times it occurs.
4. Return the maximum value from the hash map.

Code Solutions