Stone Gme IV problem solved

Author: hasibulislam999

Game Theory/1510_stone-game-iv.js

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+/**
+ * Title: Stone Gme IV
+ * Description: Initially, there are n stones in a pile. On each player's turn, that player makes a move consisting of removing any non-zero square number of stones in the pile.
+ * Author: Hasibul Islam
+ * Date: 06/05/2023
+ */
+
+/**
+ * @param {number} n
+ * @return {boolean}
+ */
+var winnerSquareGame = function (n) {
+  const dp = new Array(n + 1).fill();
+  return helper(dp, n);
+};
+
+function helper(dp, n) {
+  if (n === 0) return false;
+  if (dp[n] !== undefined) return dp[n];
+
+  for (let i = 1; i <= n; i++) {
+    const square = i * i;
+    if (square > n) break;
+
+    const next = helper(dp, n - square);
+    if (!next) return (dp[n] = true);
+  }
+
+  return (dp[n] = false);
+}