How to Solve Maximum Score from Performing Multiplication Operations Problem
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Maximum Score from Performing Multiplication Operations
You are given two 0-indexed integer arrays nums and multipliers of size n and m respectively, where n >= m. You begin with a score of 0. You want to perform exactly m operations. On the ith operation ...
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Understanding the Maximum Score from Performing Multiplication Operations Problem
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Problem Statement
You are given two 0-indexed integer arrays nums and multipliers of size n and m respectively, where n >= m. You begin with a score of 0. You want to perform exactly m operations. On the ith operation (0-indexed) you will: Choose one integer x from either the start or the end of the array nums. Add multipliers[i] * x to your score. Note that multipliers[0] corresponds to the first operation, multipliers[1] to the second operation, and so on. Remove x from nums. Return the maximum score after performing m operations.
Maximum Score from Performing Multiplication Operations
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Examples
nums = [1,2,3], multipliers = [3,2,1]14An optimal solution is as follows: - Choose from the end, [1,2,3], adding 3 * 3 = 9 to the score. - Choose from the end, [1,2], adding 2 * 2 = 4 to the score. - Choose from the end, [1], adding 1 * 1 = 1 to the score. The total score is 9 + 4 + 1 = 14.
nums = [-5,-3,-3,-2,7,1], multipliers = [-10,-5,3,4,6]102An optimal solution is as follows: - Choose from the start, [-5,-3,-3,-2,7,1], adding -5 * -10 = 50 to the score. - Choose from the start, [-3,-3,-2,7,1], adding -3 * -5 = 15 to the score. - Choose from the start, [-3,-2,7,1], adding -3 * 3 = -9 to the score. - Choose from the end, [-2,7,1], adding 1 * 4 = 4 to the score. - Choose from the end, [-2,7], adding 7 * 6 = 42 to the score. The total score is 50 + 15 - 9 + 4 + 42 = 102.
Constraints
n == nums.lengthm == multipliers.length1 <= m <= 300m <= n <= 1051000 <= nums[i], multipliers[i] <= 1000How Interview Coder Helps with Leetcode Problems
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