Create 312-Burst-Balloons.py

Author: neetcode-gh

312-Burst-Balloons.py

@@ -0,0 +1,13 @@
+class Solution:
+    def maxCoins(self, nums: List[int]) -> int:
+        cache = {}
+        nums = [1] + nums + [1]
+        
+        for offset in range(2, len(nums)):
+            for left in range(len(nums) - offset):
+                right = left + offset
+                for pivot in range(left + 1, right):
+                    coins = nums[left] * nums[pivot] * nums[right]
+                    coins += cache.get((left, pivot), 0) + cache.get((pivot, right), 0)
+                    cache[(left, right)] = max(coins, cache.get((left, right), 0))
+        return cache.get((0, len(nums) - 1), 0)