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

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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",
            "translatedTitle": "两个子序列的最大点积",
            "translatedContent": "<p>给你两个数组&nbsp;<code>nums1</code>&nbsp;和&nbsp;<code>nums2</code>&nbsp;。</p>\n\n<p>请你返回 <code>nums1</code> 和 <code>nums2</code> 中两个长度相同的 <strong>非空</strong> 子序列的最大点积。</p>\n\n<p>数组的非空子序列是通过删除原数组中某些元素（可能一个也不删除）后剩余数字组成的序列，但不能改变数字间相对顺序。比方说，<code>[2,3,5]</code>&nbsp;是&nbsp;<code>[1,2,3,4,5]</code>&nbsp;的一个子序列而&nbsp;<code>[1,5,3]</code>&nbsp;不是。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums1 = [2,1,-2,5], nums2 = [3,0,-6]\n<strong>输出：</strong>18\n<strong>解释：</strong>从 nums1 中得到子序列 [2,-2] ，从 nums2 中得到子序列 [3,-6] 。\n它们的点积为 (2*3 + (-2)*(-6)) = 18 。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums1 = [3,-2], nums2 = [2,-6,7]\n<strong>输出：</strong>21\n<strong>解释：</strong>从 nums1 中得到子序列 [3] ，从 nums2 中得到子序列 [7] 。\n它们的点积为 (3*7) = 21 。</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums1 = [-1,-1], nums2 = [1,1]\n<strong>输出：</strong>-1\n<strong>解释：</strong>从 nums1 中得到子序列 [-1] ，从 nums2 中得到子序列 [1] 。\n它们的点积为 -1 。</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;= 500</code></li>\n\t<li><code>-1000 &lt;= nums1[i], nums2[i] &lt;= 100</code></li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>点积：</strong></p>\n\n<pre>\n定义 <code><strong>a</strong>&nbsp;= [<em>a</em><sub>1</sub>,&nbsp;<em>a</em><sub>2</sub>,…,&nbsp;<em>a</em><sub><em>n</em></sub>]</code> 和<strong> <code>b</code></strong><code>&nbsp;= [<em>b</em><sub>1</sub>,&nbsp;<em>b</em><sub>2</sub>,…,&nbsp;<em>b</em><sub><em>n</em></sub>]</code> 的点积为：\n\n<img alt=\"\\mathbf{a}\\cdot \\mathbf{b} = \\sum_{i=1}^n a_ib_i = a_1b_1 + a_2b_2 + \\cdots + a_nb_n \" class=\"tex\" src=\"https://pic.leetcode-cn.com/1666164309-PBJMQp-image.png\" />\n\n这里的 <strong>Σ</strong> 指示总和符号。\n</pre>\n",
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