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leetcode-problemset/算法题/uncrossed-lines.json
2022-03-27 18:35:17 +08:00

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"title": "Uncrossed Lines",
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"content": "<p>You are given two integer arrays <code>nums1</code> and <code>nums2</code>. We write the integers of <code>nums1</code> and <code>nums2</code> (in the order they are given) on two separate horizontal lines.</p>\n\n<p>We may draw connecting lines: a straight line connecting two numbers <code>nums1[i]</code> and <code>nums2[j]</code> such that:</p>\n\n<ul>\n\t<li><code>nums1[i] == nums2[j]</code>, and</li>\n\t<li>the line we draw does not intersect any other connecting (non-horizontal) line.</li>\n</ul>\n\n<p>Note that a connecting line cannot intersect even at the endpoints (i.e., each number can only belong to one connecting line).</p>\n\n<p>Return <em>the maximum number of connecting lines we can draw in this way</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2019/04/26/142.png\" style=\"width: 400px; height: 286px;\" />\n<pre>\n<strong>Input:</strong> nums1 = [1,4,2], nums2 = [1,2,4]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> We can draw 2 uncrossed lines as in the diagram.\nWe cannot draw 3 uncrossed lines, because the line from nums1[1] = 4 to nums2[2] = 4 will intersect the line from nums1[2]=2 to nums2[1]=2.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [2,5,1,2,5], nums2 = [10,5,2,1,5,2]\n<strong>Output:</strong> 3\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [1,3,7,1,7,5], nums2 = [1,9,2,5,1]\n<strong>Output:</strong> 2\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;= 500</code></li>\n\t<li><code>1 &lt;= nums1[i], nums2[j] &lt;= 2000</code></li>\n</ul>\n",
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"code": "class Solution(object):\n def maxUncrossedLines(self, nums1, nums2):\n \"\"\"\n :type nums1: List[int]\n :type nums2: List[int]\n :rtype: int\n \"\"\"\n ",
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"Think dynamic programming. Given an oracle dp(i,j) that tells us how many lines A[i:], B[j:] [the sequence A[i], A[i+1], ... and B[j], B[j+1], ...] are uncrossed, can we write this as a recursion?"
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