LeetCode 1140: Stone Game II Solution
Master LeetCode problem 1140 (Stone Game II), a medium 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.
1140. Stone Game II
Problem Explanation
Explanation
To solve this problem, we can use dynamic programming. We can create a 2D DP table to store the maximum number of stones Alice can get starting from a particular index and with a particular value of M. The state transition can be done by simulating all possible values of X within the constraints.
The time complexity of this approach is O(n^2) where n is the number of piles, and the space complexity is O(n^2).
Solution Code
class Solution {
public int stoneGameII(int[] piles) {
int n = piles.length;
int[][] dp = new int[n][n + 1];
int suffixSum = 0;
for (int i = n - 1; i >= 0; i--) {
suffixSum += piles[i];
for (int m = 1; m <= n; m++) {
if (i + 2 * m >= n) {
dp[i][m] = suffixSum;
} else {
for (int x = 1; x <= 2 * m; x++) {
dp[i][m] = Math.max(dp[i][m], suffixSum - dp[i + x][Math.max(m, x)]);
}
}
}
}
return dp[0][1];
}
}Try It Yourself
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