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:
x from either the start or the end of the array nums.multipliers[i] * x to your score.\n multipliers[0] corresponds to the first operation, multipliers[1] to the second operation, and so on.x from nums.Return the maximum score after performing m operations.
\n
Example 1:
\n\n\nInput: nums = [1,2,3], multipliers = [3,2,1]\nOutput: 14\nExplanation: An optimal solution is as follows:\n- Choose from the end, [1,2,3], adding 3 * 3 = 9 to the score.\n- Choose from the end, [1,2], adding 2 * 2 = 4 to the score.\n- Choose from the end, [1], adding 1 * 1 = 1 to the score.\nThe total score is 9 + 4 + 1 = 14.\n\n
Example 2:
\n\n\nInput: nums = [-5,-3,-3,-2,7,1], multipliers = [-10,-5,3,4,6]\nOutput: 102\nExplanation: An optimal solution is as follows:\n- Choose from the start, [-5,-3,-3,-2,7,1], adding -5 * -10 = 50 to the score.\n- Choose from the start, [-3,-3,-2,7,1], adding -3 * -5 = 15 to the score.\n- Choose from the start, [-3,-2,7,1], adding -3 * 3 = -9 to the score.\n- Choose from the end, [-2,7,1], adding 1 * 4 = 4 to the score.\n- Choose from the end, [-2,7], adding 7 * 6 = 42 to the score. \nThe total score is 50 + 15 - 9 + 4 + 42 = 102.\n\n\n
\n
Constraints:
\n\nn == nums.lengthm == multipliers.length1 <= m <= 300m <= n <= 105 -1000 <= nums[i], multipliers[i] <= 1000给你两个长度分别 n 和 m 的整数数组 nums 和 multipliers ，其中 n >= m ，数组下标 从 1 开始 计数。
初始时，你的分数为 0 。你需要执行恰好 m 步操作。在第 i 步操作（从 1 开始 计数）中，需要：
nums 开头处或者末尾处 的整数 x 。multipliers[i] * x 分，并累加到你的分数中。x 从数组 nums 中移除。在执行 m 步操作后，返回 最大 分数。
\n\n
示例 1：
\n\n输入：nums = [1,2,3], multipliers = [3,2,1]\n输出：14\n解释：一种最优解决方案如下：\n- 选择末尾处的整数 3 ，[1,2,3] ，得 3 * 3 = 9 分，累加到分数中。\n- 选择末尾处的整数 2 ，[1,2] ，得 2 * 2 = 4 分，累加到分数中。\n- 选择末尾处的整数 1 ，[1] ，得 1 * 1 = 1 分，累加到分数中。\n总分数为 9 + 4 + 1 = 14 。\n\n
示例 2：
\n\n输入：nums = [-5,-3,-3,-2,7,1], multipliers = [-10,-5,3,4,6]\n输出：102\n解释：一种最优解决方案如下：\n- 选择开头处的整数 -5 ，[-5,-3,-3,-2,7,1] ，得 -5 * -10 = 50 分，累加到分数中。\n- 选择开头处的整数 -3 ，[-3,-3,-2,7,1] ，得 -3 * -5 = 15 分，累加到分数中。\n- 选择开头处的整数 -3 ，[-3,-2,7,1] ，得 -3 * 3 = -9 分，累加到分数中。\n- 选择末尾处的整数 1 ，[-2,7,1] ，得 1 * 4 = 4 分，累加到分数中。\n- 选择末尾处的整数 7 ，[-2,7] ，得 7 * 6 = 42 分，累加到分数中。\n总分数为 50 + 15 - 9 + 4 + 42 = 102 。\n\n\n
\n\n
提示：
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