1770. Maximum Score from Performing Multiplication Operations

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

        @lru_cache
        def helper(leftBound, rightBound, i):
            if i == len(multipliers):
                return 0
            multiplier = multipliers[i]

            return max(
                multiplier * nums[leftBound] + helper(leftBound + 1, rightBound, i + 1),
                multiplier * nums[rightBound] + helper(leftBound, rightBound - 1, i + 1))

        return helper(0, len(nums) - 1, 0)

class Solution:
    def maximumScore(self, nums: List[int], multipliers: List[int]) -> int:
        
        m = len(multipliers)

        @cache
        def helper(left, i):
            if i == m:
                return 0

            multiplier = multipliers[i]
            right = len(nums) - 1 - (i - left)

            l = nums[left] * multiplier + helper(left + 1, i + 1)
            r = nums[right] * multiplier + helper(left, i + 1)
            return max(l, r)

        return helper(0, 0)