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leetcode-problemset/leetcode/originData/merge-sorted-array.json
2022-05-02 23:44:12 +08:00

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"title": "Merge Sorted Array",
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"content": "<p>You are given two integer arrays <code>nums1</code> and <code>nums2</code>, sorted in <strong>non-decreasing order</strong>, and two integers <code>m</code> and <code>n</code>, representing the number of elements in <code>nums1</code> and <code>nums2</code> respectively.</p>\n\n<p><strong>Merge</strong> <code>nums1</code> and <code>nums2</code> into a single array sorted in <strong>non-decreasing order</strong>.</p>\n\n<p>The final sorted array should not be returned by the function, but instead be <em>stored inside the array </em><code>nums1</code>. To accommodate this, <code>nums1</code> has a length of <code>m + n</code>, where the first <code>m</code> elements denote the elements that should be merged, and the last <code>n</code> elements are set to <code>0</code> and should be ignored. <code>nums2</code> has a length of <code>n</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [1,2,3,0,0,0], m = 3, nums2 = [2,5,6], n = 3\n<strong>Output:</strong> [1,2,2,3,5,6]\n<strong>Explanation:</strong> The arrays we are merging are [1,2,3] and [2,5,6].\nThe result of the merge is [<u>1</u>,<u>2</u>,2,<u>3</u>,5,6] with the underlined elements coming from nums1.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [1], m = 1, nums2 = [], n = 0\n<strong>Output:</strong> [1]\n<strong>Explanation:</strong> The arrays we are merging are [1] and [].\nThe result of the merge is [1].\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [0], m = 0, nums2 = [1], n = 1\n<strong>Output:</strong> [1]\n<strong>Explanation:</strong> The arrays we are merging are [] and [1].\nThe result of the merge is [1].\nNote that because m = 0, there are no elements in nums1. The 0 is only there to ensure the merge result can fit in nums1.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>nums1.length == m + n</code></li>\n\t<li><code>nums2.length == n</code></li>\n\t<li><code>0 &lt;= m, n &lt;= 200</code></li>\n\t<li><code>1 &lt;= m + n &lt;= 200</code></li>\n\t<li><code>-10<sup>9</sup> &lt;= nums1[i], nums2[j] &lt;= 10<sup>9</sup></code></li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Follow up: </strong>Can you come up with an algorithm that runs in <code>O(m + n)</code> time?</p>\n",
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"code": "class Solution(object):\n def merge(self, nums1, m, nums2, n):\n \"\"\"\n :type nums1: List[int]\n :type m: int\n :type nums2: List[int]\n :type n: int\n :rtype: None Do not return anything, modify nums1 in-place instead.\n \"\"\"\n ",
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"You can easily solve this problem if you simply think about two elements at a time rather than two arrays. We know that each of the individual arrays is sorted. What we don't know is how they will intertwine. Can we take a local decision and arrive at an optimal solution?",
"If you simply consider one element each at a time from the two arrays and make a decision and proceed accordingly, you will arrive at the optimal solution."
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