Merge pull request neetcode-gh#1700 from a93a/312

Create 0312-burst-balloons.kt

kotlin/0312-burst-balloons.kt

@@ -0,0 +1,21 @@
+class Solution {
+ fun maxCoins(nums: IntArray): Int {
+ val newNums = intArrayOf(1) + nums + intArrayOf(1)
+ val cache = Array(newNums.size){ IntArray(newNums.size) }
+
+ fun dfs(left: Int, right: Int): Int{
+ if(left > right) return 0
+ if(cache[left][right] != 0) return cache[left][right]
+ for(i in left..right){
+ var coins = newNums[left-1] * newNums[i] * newNums[right+1]
+ coins = coins + dfs(left, i-1) + dfs(i+1, right)
+ cache[left][right] = maxOf(cache[left][right], coins)
+ }
+ return cache[left][right]
+ }
+
+ return dfs(1, newNums.size-2)
+
+ }
+
+}