{ "data": { "question": { "questionId": "1659", "questionFrontendId": "1537", "categoryTitle": "Algorithms", "boundTopicId": 353052, "title": "Get the Maximum Score", "titleSlug": "get-the-maximum-score", "content": "

You are given two sorted arrays of distinct integers nums1 and nums2.

\n\n

A valid path is defined as follows:

\n\n\n\n

The score is defined as the sum of uniques values in a valid path.

\n\n

Return the maximum score you can obtain of all possible valid paths. Since the answer may be too large, return it modulo 109 + 7.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: nums1 = [2,4,5,8,10], nums2 = [4,6,8,9]\nOutput: 30\nExplanation: Valid paths:\n[2,4,5,8,10], [2,4,5,8,9], [2,4,6,8,9], [2,4,6,8,10],  (starting from nums1)\n[4,6,8,9], [4,5,8,10], [4,5,8,9], [4,6,8,10]    (starting from nums2)\nThe maximum is obtained with the path in green [2,4,6,8,10].\n
\n\n

Example 2:

\n\n
\nInput: nums1 = [1,3,5,7,9], nums2 = [3,5,100]\nOutput: 109\nExplanation: Maximum sum is obtained with the path [1,3,5,100].\n
\n\n

Example 3:

\n\n
\nInput: nums1 = [1,2,3,4,5], nums2 = [6,7,8,9,10]\nOutput: 40\nExplanation: There are no common elements between nums1 and nums2.\nMaximum sum is obtained with the path [6,7,8,9,10].\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "最大得分", "translatedContent": "

你有两个 有序 且数组内元素互不相同的数组 nums1 和 nums2 。

\n\n

一条 合法路径 定义如下:

\n\n\n\n

得分定义为合法路径中不同数字的和。

\n\n

请你返回所有可能合法路径中的最大得分。

\n\n

由于答案可能很大,请你将它对 10^9 + 7 取余后返回。

\n\n

 

\n\n

示例 1:

\n\n

\"\"

\n\n
输入:nums1 = [2,4,5,8,10], nums2 = [4,6,8,9]\n输出:30\n解释:合法路径包括:\n[2,4,5,8,10], [2,4,5,8,9], [2,4,6,8,9], [2,4,6,8,10],(从 nums1 开始遍历)\n[4,6,8,9], [4,5,8,10], [4,5,8,9], [4,6,8,10]  (从 nums2 开始遍历)\n最大得分为上图中的绿色路径 [2,4,6,8,10] 。\n
\n\n

示例 2:

\n\n
输入:nums1 = [1,3,5,7,9], nums2 = [3,5,100]\n输出:109\n解释:最大得分由路径 [1,3,5,100] 得到。\n
\n\n

示例 3:

\n\n
输入:nums1 = [1,2,3,4,5], nums2 = [6,7,8,9,10]\n输出:40\n解释:nums1 和 nums2 之间无相同数字。\n最大得分由路径 [6,7,8,9,10] 得到。\n
\n\n

示例 4:

\n\n
输入:nums1 = [1,4,5,8,9,11,19], nums2 = [2,3,4,11,12]\n输出:61\n
\n\n

 

\n\n

提示:

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