mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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175 lines
17 KiB
JSON
175 lines
17 KiB
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"title": "Valid Arrangement of Pairs",
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"content": "<p>You are given a <strong>0-indexed</strong> 2D integer array <code>pairs</code> where <code>pairs[i] = [start<sub>i</sub>, end<sub>i</sub>]</code>. An arrangement of <code>pairs</code> is <strong>valid</strong> if for every index <code>i</code> where <code>1 <= i < pairs.length</code>, we have <code>end<sub>i-1</sub> == start<sub>i</sub></code>.</p>\n\n<p>Return <em><strong>any</strong> valid arrangement of </em><code>pairs</code>.</p>\n\n<p><strong>Note:</strong> The inputs will be generated such that there exists a valid arrangement of <code>pairs</code>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> pairs = [[5,1],[4,5],[11,9],[9,4]]\n<strong>Output:</strong> [[11,9],[9,4],[4,5],[5,1]]\n<strong>Explanation:\n</strong>This is a valid arrangement since end<sub>i-1</sub> always equals start<sub>i</sub>.\nend<sub>0</sub> = 9 == 9 = start<sub>1</sub> \nend<sub>1</sub> = 4 == 4 = start<sub>2</sub>\nend<sub>2</sub> = 5 == 5 = start<sub>3</sub>\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> pairs = [[1,3],[3,2],[2,1]]\n<strong>Output:</strong> [[1,3],[3,2],[2,1]]\n<strong>Explanation:</strong>\nThis is a valid arrangement since end<sub>i-1</sub> always equals start<sub>i</sub>.\nend<sub>0</sub> = 3 == 3 = start<sub>1</sub>\nend<sub>1</sub> = 2 == 2 = start<sub>2</sub>\nThe arrangements [[2,1],[1,3],[3,2]] and [[3,2],[2,1],[1,3]] are also valid.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> pairs = [[1,2],[1,3],[2,1]]\n<strong>Output:</strong> [[1,2],[2,1],[1,3]]\n<strong>Explanation:</strong>\nThis is a valid arrangement since end<sub>i-1</sub> always equals start<sub>i</sub>.\nend<sub>0</sub> = 2 == 2 = start<sub>1</sub>\nend<sub>1</sub> = 1 == 1 = start<sub>2</sub>\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= pairs.length <= 10<sup>5</sup></code></li>\n\t<li><code>pairs[i].length == 2</code></li>\n\t<li><code>0 <= start<sub>i</sub>, end<sub>i</sub> <= 10<sup>9</sup></code></li>\n\t<li><code>start<sub>i</sub> != end<sub>i</sub></code></li>\n\t<li>No two pairs are exactly the same.</li>\n\t<li>There <strong>exists</strong> a valid arrangement of <code>pairs</code>.</li>\n</ul>\n",
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"Could you convert this into a graph problem?",
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"Consider the pairs as edges and each number as a node.",
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"We have to find an Eulerian path of this graph. Hierholzer’s algorithm can be used."
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