Compute Score Difference in Reversing Array Game
Company: Adia
Role: Data Scientist
Category: Coding & Algorithms
Difficulty: easy
Interview Round: Technical Screen
Quick Answer: This question evaluates array manipulation and stateful simulation skills, parity-based control flow reasoning, and the ability to analyze time complexity within the Coding & Algorithms domain. It is commonly asked to test handling of sequential state updates and edge cases (such as empty inputs) and requires practical implementation-level thinking rather than purely conceptual reasoning.
Constraints
- 0 <= len(nums) <= 200000
- -1000000000 <= nums[i] <= 1000000000
Examples
Input: ([],)
Expected Output: 0
Explanation: The array is empty, so no turns are played and both scores stay 0.
Input: ([7],)
Expected Output: -7
Explanation: 7 is odd, so Player 2 gets 7 points. Reversing an empty remainder has no effect. Final difference is 0 - 7 = -7.
Input: ([2, 3, 4],)
Expected Output: 3
Explanation: Remove 2 -> Player 1 = 2. Remove 3 -> Player 2 = 3, reverse [4]. Remove 4 -> Player 1 = 6. Final difference is 6 - 3 = 3.
Input: ([1, 2, 3, 4],)
Expected Output: 2
Explanation: Remove 1 -> Player 2 = 1, reverse [2,3,4] to [4,3,2]. Remove 4 -> Player 1 = 4. Remove 3 -> Player 2 = 4, reverse [2]. Remove 2 -> Player 1 = 6. Final difference is 6 - 4 = 2.
Input: ([-1, -2, -3],)
Expected Output: 2
Explanation: Remove -1 -> Player 2 = -1, reverse [-2,-3] to [-3,-2]. Remove -3 -> Player 2 = -4, reverse [-2]. Remove -2 -> Player 1 = -2. Final difference is -2 - (-4) = 2.
Input: ([5, 2, 7, 8, 1],)
Expected Output: -3
Explanation: Remove 5 -> Player 2 = 5, reverse to [1,8,7,2]. Remove 1 -> Player 2 = 6, reverse to [2,7,8]. Remove 2 -> Player 1 = 2. Remove 7 -> Player 2 = 13, reverse [8]. Remove 8 -> Player 1 = 10. Final difference is 10 - 13 = -3.
Hints
- After several reversals, the current 'front' of the array is always at one of the two ends of the remaining segment.
- Instead of actually reversing the array, track the current direction with a boolean flag and move two pointers.