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	`1`	`+class Solution:`
	`2`	`+ def stoneGameII(self, piles: List[int]) -> int:`
	`3`	`+ n = len(piles)`
	`4`	`+ dp = [[0] * (n + 1) for _ in range(n + 1)]`
	`5`	`+ suffix_sum = [0] * (n + 1)`
	`6`	`+`
	`7`	`+ # Calculate suffix sums to efficiently compute the sum of any subarray`
	`8`	`+ for i in range(n - 1, -1, -1):`
	`9`	`+ suffix_sum[i] = suffix_sum[i + 1] + piles[i]`
	`10`	`+`
	`11`	`+ # Bottom-up dynamic programming`
	`12`	`+ for i in range(n - 1, -1, -1):`
	`13`	`+ for M in range(1, n + 1):`
	`14`	`+ for X in range(1, min(2 * M, n - i) + 1):`
	`15`	`+ dp[i][M] = max(dp[i][M], suffix_sum[i] - dp[i + X][max(M, X)])`
	`16`	`+`
	`17`	`+ return dp[0][1]`

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