Stone Game II problem solved

Author: hasibulislam999

Game Theory/1140_stone-game-ii.js

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+/**
+ * Title: Stone Game II
+ * Description: Alice and Bob continue their games with piles of stones.  There are a number of piles arranged in a row, and each pile has a positive integer number of stones piles[i].  The objective of the game is to end with the most stones.
+ * Author: Hasibul Islam
+ * Date: 06/05/2023
+ */
+
+/**
+ * @param {number[]} piles
+ * @return {number}
+ */
+var stoneGameII = function (piles) {
+  const length = piles.length;
+  const dp = [...Array(length + 1).fill(null)].map((_) =>
+    Array(length + 1).fill(0)
+  );
+  const sufsum = new Array(length + 1).fill(0);
+  for (let i = length - 1; i >= 0; i--) {
+    sufsum[i] = sufsum[i + 1] + piles[i];
+  }
+  for (let i = 0; i <= length; i++) {
+    dp[i][length] = sufsum[i];
+  }
+  for (let i = length - 1; i >= 0; i--) {
+    for (let j = length - 1; j >= 1; j--) {
+      for (let X = 1; X <= 2 * j && i + X <= length; X++) {
+        dp[i][j] = Math.max(dp[i][j], sufsum[i] - dp[i + X][Math.max(j, X)]);
+      }
+    }
+  }
+  return dp[0][1];
+};