leetcode-problemset/leetcode-cn/originData/get-the-maximum-score.json

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            "title": "Get the Maximum Score",
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            "content": "<p>You are given two <strong>sorted</strong> arrays of distinct integers <code>nums1</code> and <code>nums2</code>.</p>\n\n<p>A <strong>valid<strong><em> </em></strong>path</strong> is defined as follows:</p>\n\n<ul>\n\t<li>Choose array <code>nums1</code> or <code>nums2</code> to traverse (from index-0).</li>\n\t<li>Traverse the current array from left to right.</li>\n\t<li>If you are reading any value that is present in <code>nums1</code> and <code>nums2</code> you are allowed to change your path to the other array. (Only one repeated value is considered in the valid path).</li>\n</ul>\n\n<p>The <strong>score</strong> is defined as the sum of unique values in a valid path.</p>\n\n<p>Return <em>the maximum score you can obtain of all possible <strong>valid paths</strong></em>. Since the answer may be too large, return it modulo <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/16/sample_1_1893.png\" style=\"width: 500px; height: 151px;\" />\n<pre>\n<strong>Input:</strong> nums1 = [2,4,5,8,10], nums2 = [4,6,8,9]\n<strong>Output:</strong> 30\n<strong>Explanation:</strong> 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 <strong>[2,4,6,8,10]</strong>.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [1,3,5,7,9], nums2 = [3,5,100]\n<strong>Output:</strong> 109\n<strong>Explanation:</strong> Maximum sum is obtained with the path <strong>[1,3,5,100]</strong>.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [1,2,3,4,5], nums2 = [6,7,8,9,10]\n<strong>Output:</strong> 40\n<strong>Explanation:</strong> There are no common elements between nums1 and nums2.\nMaximum sum is obtained with the path [6,7,8,9,10].\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums1.length, nums2.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums1[i], nums2[i] &lt;= 10<sup>7</sup></code></li>\n\t<li><code>nums1</code> and <code>nums2</code> are strictly increasing.</li>\n</ul>\n",
            "translatedTitle": "最大得分",
            "translatedContent": "<p>你有两个 <strong>有序</strong>&nbsp;且数组内元素互不相同的数组&nbsp;<code>nums1</code> 和&nbsp;<code>nums2</code>&nbsp;。</p>\n\n<p>一条&nbsp;<strong>合法路径</strong>&nbsp;定义如下：</p>\n\n<ul>\n\t<li>选择数组 <code>nums1</code> 或者 <code>nums2</code> 开始遍历（从下标 0 处开始）。</li>\n\t<li>从左到右遍历当前数组。</li>\n\t<li>如果你遇到了 <code>nums1</code>&nbsp;和 <code>nums2</code>&nbsp;中都存在的值，那么你可以切换路径到另一个数组对应数字处继续遍历（但在合法路径中重复数字只会被统计一次）。</li>\n</ul>\n\n<p><strong>得分</strong> 定义为合法路径中不同数字的和。</p>\n\n<p>请你返回 <em>所有可能 <strong>合法路径</strong> 中的最大得分。</em>由于答案可能很大，请你将它对 10^9 + 7 取余后返回。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/08/02/sample_1_1893.png\" style=\"height: 163px; width: 538px;\" /></strong></p>\n\n<pre>\n<strong>输入：</strong>nums1 = [2,4,5,8,10], nums2 = [4,6,8,9]\n<strong>输出：</strong>30\n<strong>解释：</strong>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 <strong>[2,4,6,8,10]</strong>&nbsp;。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums1 = [1,3,5,7,9], nums2 = [3,5,100]\n<strong>输出：</strong>109\n<strong>解释：</strong>最大得分由路径 <strong>[1,3,5,100]</strong> 得到。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums1 = [1,2,3,4,5], nums2 = [6,7,8,9,10]\n<strong>输出：</strong>40\n<strong>解释：</strong>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</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums1.length, nums2.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums1[i], nums2[i] &lt;= 10<sup>7</sup></code></li>\n\t<li><code>nums1</code> 和&nbsp;<code>nums2</code>&nbsp;都是严格递增的数组。</li>\n</ul>\n",
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