LeetCode 1872: Stone Game VIII Solution

Master LeetCode problem 1872 (Stone Game VIII), a hard challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

Problem Explanation

Explanation:

To solve this problem, we can use dynamic programming. We will iterate from the end of the array and keep track of the maximum score that can be achieved by Alice starting from that point. At each step, we calculate the maximum score that Alice can achieve by either taking the next stone or skipping it.

The core idea is to maintain a running sum of stones from right to left. At each point, we calculate the maximum score Alice can achieve and update it. Finally, we return the maximum score that Alice can achieve starting from the first stone.

  • Time Complexity: O(n)
  • Space Complexity: O(1)

:

Solution Code

class Solution {
    public int stoneGameVIII(int[] stones) {
        int n = stones.length;
        for (int i = 1; i < n; i++) {
            stones[i] += stones[i - 1];
        }
        
        int dp = stones[n - 1];
        int maxScore = dp;
        
        for (int i = n - 2; i > 0; i--) {
            dp = Math.max(dp, stones[i] - dp);
            maxScore = Math.max(maxScore, dp);
        }
        
        return maxScore;
    }
}

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