{ "data": { "question": { "questionId": "1569", "questionFrontendId": "1458", "boundTopicId": null, "title": "Max Dot Product of Two Subsequences", "titleSlug": "max-dot-product-of-two-subsequences", "content": "

Given two arrays nums1 and nums2.

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Return the maximum dot product between non-empty subsequences of nums1 and nums2 with the same length.

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A subsequence of a array is a new array which is formed from the original array by deleting some (can be none) of the characters without disturbing the relative positions of the remaining characters. (ie, [2,3,5] is a subsequence of [1,2,3,4,5] while [1,5,3] is not).

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Example 1:

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\nInput: nums1 = [2,1,-2,5], nums2 = [3,0,-6]\nOutput: 18\nExplanation: Take subsequence [2,-2] from nums1 and subsequence [3,-6] from nums2.\nTheir dot product is (2*3 + (-2)*(-6)) = 18.
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Example 2:

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\nInput: nums1 = [3,-2], nums2 = [2,-6,7]\nOutput: 21\nExplanation: Take subsequence [3] from nums1 and subsequence [7] from nums2.\nTheir dot product is (3*7) = 21.
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Example 3:

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\nInput: nums1 = [-1,-1], nums2 = [1,1]\nOutput: -1\nExplanation: Take subsequence [-1] from nums1 and subsequence [1] from nums2.\nTheir dot product is -1.
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Constraints:

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