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52 lines
2.2 KiB
HTML
52 lines
2.2 KiB
HTML
<p>You are given two <strong>sorted</strong> arrays of distinct integers <code>nums1</code> and <code>nums2</code>.</p>
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<p>A <strong>valid<strong><em> </em></strong>path</strong> is defined as follows:</p>
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<ul>
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<li>Choose array <code>nums1</code> or <code>nums2</code> to traverse (from index-0).</li>
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<li>Traverse the current array from left to right.</li>
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<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>
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</ul>
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<p>The <strong>score</strong> is defined as the sum of unique values in a valid path.</p>
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<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>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2020/07/16/sample_1_1893.png" style="width: 500px; height: 151px;" />
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<pre>
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<strong>Input:</strong> nums1 = [2,4,5,8,10], nums2 = [4,6,8,9]
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<strong>Output:</strong> 30
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<strong>Explanation:</strong> Valid paths:
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[2,4,5,8,10], [2,4,5,8,9], [2,4,6,8,9], [2,4,6,8,10], (starting from nums1)
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[4,6,8,9], [4,5,8,10], [4,5,8,9], [4,6,8,10] (starting from nums2)
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The maximum is obtained with the path in green <strong>[2,4,6,8,10]</strong>.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> nums1 = [1,3,5,7,9], nums2 = [3,5,100]
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<strong>Output:</strong> 109
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<strong>Explanation:</strong> Maximum sum is obtained with the path <strong>[1,3,5,100]</strong>.
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</pre>
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<p><strong class="example">Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> nums1 = [1,2,3,4,5], nums2 = [6,7,8,9,10]
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<strong>Output:</strong> 40
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<strong>Explanation:</strong> There are no common elements between nums1 and nums2.
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Maximum sum is obtained with the path [6,7,8,9,10].
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= nums1.length, nums2.length <= 10<sup>5</sup></code></li>
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<li><code>1 <= nums1[i], nums2[i] <= 10<sup>7</sup></code></li>
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<li><code>nums1</code> and <code>nums2</code> are strictly increasing.</li>
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</ul>
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