Create 312-burst-balloons.js

Author: everthis

312-burst-balloons.js

@@ -0,0 +1,28 @@
+/**
+ * @param {number[]} nums
+ * @return {number}
+ */
+const maxCoins = iNums => {
+  const nums = new Array(iNums.length + 2);
+  let n = 1;
+  for (let x of iNums) if (x > 0) nums[n++] = x;
+  nums[0] = nums[n++] = 1;
+
+  const memo = Array.from({ length: n }, () => new Array(n));
+  return burst(memo, nums, 0, n - 1);
+};
+
+function burst(memo, nums, left, right) {
+  if (left + 1 === right) return 0;
+  if (memo[left][right] > 0) return memo[left][right];
+  let ans = 0;
+  for (let i = left + 1; i < right; ++i)
+    ans = Math.max(
+      ans,
+      nums[left] * nums[i] * nums[right] +
+        burst(memo, nums, left, i) +
+        burst(memo, nums, i, right)
+    );
+  memo[left][right] = ans;
+  return ans;
+}