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leetcode-problemset/leetcode/originData/max-dot-product-of-two-subsequences.json

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{
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"title": "Max Dot Product of Two Subsequences",
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"content": "<p>Given two arrays <code>nums1</code>&nbsp;and <code><font face=\"monospace\">nums2</font></code><font face=\"monospace\">.</font></p>\n\n<p>Return the maximum dot product&nbsp;between&nbsp;<strong>non-empty</strong> subsequences of nums1 and nums2 with the same length.</p>\n\n<p>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,&nbsp;<code>[2,3,5]</code>&nbsp;is a subsequence of&nbsp;<code>[1,2,3,4,5]</code>&nbsp;while <code>[1,5,3]</code>&nbsp;is not).</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [2,1,-2,5], nums2 = [3,0,-6]\n<strong>Output:</strong> 18\n<strong>Explanation:</strong> Take subsequence [2,-2] from nums1 and subsequence [3,-6] from nums2.\nTheir dot product is (2*3 + (-2)*(-6)) = 18.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [3,-2], nums2 = [2,-6,7]\n<strong>Output:</strong> 21\n<strong>Explanation:</strong> Take subsequence [3] from nums1 and subsequence [7] from nums2.\nTheir dot product is (3*7) = 21.</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [-1,-1], nums2 = [1,1]\n<strong>Output:</strong> -1\n<strong>Explanation: </strong>Take subsequence [-1] from nums1 and subsequence [1] from nums2.\nTheir dot product is -1.</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;= 500</code></li>\n\t<li><code>-1000 &lt;= nums1[i], nums2[i] &lt;= 1000</code></li>\n</ul>\n",
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"code": "defmodule Solution do\n @spec max_dot_product(nums1 :: [integer], nums2 :: [integer]) :: integer\n def max_dot_product(nums1, nums2) do\n \n end\nend",
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"hints": [
"Use dynamic programming, define DP[i][j] as the maximum dot product of two subsequences starting in the position i of nums1 and position j of nums2."
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