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TODO 0312. Burst Balloons   hard

You are given n balloons, indexed from 0 to n - 1. Each balloon is painted with a number on it represented by an array nums. You are asked to burst all the balloons.

If you burst the i^{th} balloon, you will get nums[i - 1] * nums[i] * nums[i + 1] coins. If i - 1 or i + 1 goes out of bounds of the array, then treat it as if there is a balloon with a 1 painted on it.

Return the maximum coins you can collect by bursting the balloons wisely.

Example 1:

Input: nums = [3,1,5,8]
Output: 167
Explanation:
nums = [3,1,5,8] --> [3,5,8] --> [3,8] --> [8] --> []
coins =  3*1*5    +   3*5*8   +  1*3*8  + 1*8*1 = 167

Example 2:

Input: nums = [1,5]
Output: 10

Constraints:

  • n == nums.length
  • 1 <= n <= 300
  • 0 <= nums[i] <= 100

TODO Approach

Write your approach here.

TODO Python

class Solution:
    def maxCoins(self, nums: List[int]) -> int:

TODO C++

class Solution {
public:
    int maxCoins(vector<int>& nums) {
        
    }
};