163. Burst Balloons

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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. The optimal bursting order yields a maximum of 167 coins.

Example 2:

Input: nums = [1,5]

Output: 10

Explanation: The optimal bursting order yields a maximum of 10 coins.

Constraints:

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Time Complexity

O(n³)

Space Complexity

O(n²)