{leetcode}/problems/maximum-score-from-performing-multiplication-operations/[LeetCode - 1770. 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 (0-indexed) you will:
<li>Choose one integer `x` from *either the start or the end *of the array `nums`. <li>Add `multipliers[i] * x` to your score.
<li>Note that `multipliers[0]` corresponds to the first operation, `multipliers[1]` to the second operation, and so on.
<li>Remove `x` from `nums`.
Return the maximum score after performing _`m` _operations.
Example 1:
Input: nums = [1,2,3], multipliers = [3,2,1] Output: 14 Explanation: An optimal solution is as follows: - Choose from the end, 3], adding 3 * 3 = 9 to the score. - Choose from the end, 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.
Example 2:
Input: nums = [-5,-3,-3,-2,7,1], multipliers = [-10,-5,3,4,6] Output: 102 Explanation: *An 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, 1], adding 1 * 4 = 4 to the score. - Choose from the end, 7], adding 7 * 6 = 42 to the score. The total score is 50 + 15 - 9 + 4 + 42 = 102.
Constraints:
-
n == nums.length
-
m == multipliers.length
-
1 ⇐ m ⇐ 300
-
m ⇐ n ⇐ 105`
` -
-1000 ⇐ nums[i], multipliers[i] ⇐ 1000
- 一刷
-
link:{sourcedir}/_1770_MaximumScoreFromPerformingMultiplicationOperations.java[role=include]