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1{2  "id": 2636,3  "name": "maximum-subsequence-score",4  "difficulty": "Medium",5  "link": "https://leetcode.com/problems/maximum-subsequence-score/",6  "date": "2023-01-07",7  "task_description": "You are given two **0-indexed** integer arrays `nums1` and `nums2` of equal length `n` and a positive integer `k`. You must choose a **subsequence** of indices from `nums1` of length `k`. For chosen indices `i0`, `i1`, ..., `ik - 1`, your **score** is defined as: The sum of the selected elements from `nums1` multiplied with the **minimum** of the selected elements from `nums2`. It can defined simply as: `(nums1[i0] + nums1[i1] +...+ nums1[ik - 1]) * min(nums2[i0] , nums2[i1], ... ,nums2[ik - 1])`. Return _the **maximum** possible score._ A **subsequence** of indices of an array is a set that can be derived from the set `{0, 1, ..., n-1}` by deleting some or no elements. **Example 1:** ``` **Input:** nums1 = [1,3,3,2], nums2 = [2,1,3,4], k = 3 **Output:** 12 **Explanation:** The four possible subsequence scores are: - We choose the indices 0, 1, and 2 with score = (1+3+3) * min(2,1,3) = 7. - We choose the indices 0, 1, and 3 with score = (1+3+2) * min(2,1,4) = 6. - We choose the indices 0, 2, and 3 with score = (1+3+2) * min(2,3,4) = 12. - We choose the indices 1, 2, and 3 with score = (3+3+2) * min(1,3,4) = 8. Therefore, we return the max score, which is 12. ``` **Example 2:** ``` **Input:** nums1 = [4,2,3,1,1], nums2 = [7,5,10,9,6], k = 1 **Output:** 30 **Explanation:** Choosing index 2 is optimal: nums1[2] * nums2[2] = 3 * 10 = 30 is the maximum possible score. ``` **Constraints:** `n == nums1.length == nums2.length` `1 <= n <= 105` `0 <= nums1[i], nums2[j] <= 105` `1 <= k <= n`",8  "test_case": [9    {10      "label": "Example 1",11      "input": "nums1 = [1,3,3,2], nums2 = [2,1,3,4], k = 3",12      "output": "12 "13    },14    {15      "label": "Example 2",16      "input": "nums1 = [4,2,3,1,1], nums2 = [7,5,10,9,6], k = 1",17      "output": "30 "18    }19  ],20  "constraints": [21    "The sum of the selected elements from nums1 multiplied with the minimum of the selected elements from nums2.",22    "It can defined simply as: (nums1[i0] + nums1[i1] +...+ nums1[ik - 1]) * min(nums2[i0] , nums2[i1], ... ,nums2[ik - 1]).",23    "n == nums1.length == nums2.length",24    "1 <= n <= 105",25    "0 <= nums1[i], nums2[j] <= 105",26    "1 <= k <= n"27  ],28  "python_template": "class Solution(object):\n    def maxScore(self, nums1, nums2, k):\n        \"\"\"\n        :type nums1: List[int]\n        :type nums2: List[int]\n        :type k: int\n        :rtype: int\n        \"\"\"\n        ",29  "java_template": "class Solution {\n    public long maxScore(int[] nums1, int[] nums2, int k) {\n        \n    }\n}",30  "metadata": {31    "func_name": "maxScore"32  }33}