{"id":213,"date":"2024-01-06T21:29:32","date_gmt":"2024-01-06T13:29:32","guid":{"rendered":"https:\/\/wangqianming.top\/?p=213"},"modified":"2024-01-06T21:29:32","modified_gmt":"2024-01-06T13:29:32","slug":"%e4%ba%8c%e5%88%86%e6%b3%953","status":"publish","type":"post","link":"https:\/\/wangqianming.top\/index.php\/2024\/01\/06\/%e4%ba%8c%e5%88%86%e6%b3%953\/","title":{"rendered":"\u4e8c\u5206\u6cd53"},"content":{"rendered":"

\u4e8c\u5206\u6cd5\u7a0d\u5fae\u96be\u4e00\u70b9\u7684\u4f8b\u5b50<\/h1>\n

\u7ed9\u5b9a\u4e24\u4e2a\u5927\u5c0f\u5206\u522b\u4e3a m<\/code> \u548c n<\/code> \u7684\u6b63\u5e8f\uff08\u4ece\u5c0f\u5230\u5927\uff09\u6570\u7ec4 nums1<\/code> \u548c nums2<\/code>\u3002\u8bf7\u4f60\u627e\u51fa\u5e76\u8fd4\u56de\u8fd9\u4e24\u4e2a\u6b63\u5e8f\u6570\u7ec4\u7684 \u4e2d\u4f4d\u6570 \u3002<\/p>\n

\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5e94\u8be5\u4e3a O(log (m+n))<\/code> \u3002<\/p>\n

\u793a\u4f8b 1\uff1a<\/strong><\/p>\n

\n

\u8f93\u5165\uff1anums1 = [1,3], nums2 = [2]
\n\u8f93\u51fa\uff1a2.00000
\n\u89e3\u91ca\uff1a\u5408\u5e76\u6570\u7ec4 = [1,2,3] \uff0c\u4e2d\u4f4d\u6570 2<\/p>\n<\/blockquote>\n

\u793a\u4f8b 2\uff1a<\/strong><\/p>\n

\n

\u8f93\u5165\uff1anums1 = [1,2], nums2 = [3,4]
\n\u8f93\u51fa\uff1a2.50000
\n\u89e3\u91ca\uff1a\u5408\u5e76\u6570\u7ec4 = [1,2,3,4] \uff0c\u4e2d\u4f4d\u6570 (2 + 3) \/ 2 = 2.5<\/p>\n<\/blockquote>\n

class Solution {\n    public double findMedianSortedArrays(int[] nums1, int[] nums2) {\n        int length1 = nums1.length, length2 = nums2.length;\n        int totalLength = length1 + length2;\n        if (totalLength % 2 == 1) {\n            int midIndex = totalLength \/ 2;\n            double median = getKthElement(nums1, nums2, midIndex + 1);\n            return median;\n        } else {\n            int midIndex1 = totalLength \/ 2 - 1, midIndex2 = totalLength \/ 2;\n            double median = (getKthElement(nums1, nums2, midIndex1 + 1) + getKthElement(nums1, nums2, midIndex2 + 1)) \/ 2.0;\n            return median;\n        }\n    }\n\n    public int getKthElement(int[] nums1, int[] nums2, int k) {\n        \/* \u4e3b\u8981\u601d\u8def\uff1a\u8981\u627e\u5230\u7b2c k (k>1) \u5c0f\u7684\u5143\u7d20\uff0c\u90a3\u4e48\u5c31\u53d6 pivot1 = nums1[k\/2-1] \u548c pivot2 = nums2[k\/2-1] \u8fdb\u884c\u6bd4\u8f83\n         * \u8fd9\u91cc\u7684 "\/" \u8868\u793a\u6574\u9664\n         * nums1 \u4e2d\u5c0f\u4e8e\u7b49\u4e8e pivot1 \u7684\u5143\u7d20\u6709 nums1[0 .. k\/2-1] \u5171\u8ba1 k\/2 \u4e2a\n         * nums2 \u4e2d\u5c0f\u4e8e\u7b49\u4e8e pivot2 \u7684\u5143\u7d20\u6709 nums2[0 .. k\/2-1] \u5171\u8ba1 k\/2 \u4e2a\n         * \u53d6 pivot = min(pivot1, pivot2)\uff0c\u4e24\u4e2a\u6570\u7ec4\u4e2d\u5c0f\u4e8e\u7b49\u4e8e pivot \u7684\u5143\u7d20\u5171\u8ba1\u4e0d\u4f1a\u8d85\u8fc7 k\/2 + k\/2 = k \u4e2a\n         * \u8fd9\u6837 pivot \u672c\u8eab\u6700\u5927\u4e5f\u53ea\u80fd\u662f\u7b2c k-1 \u5c0f\u7684\u5143\u7d20\n         * \u5982\u679c pivot = pivot1\uff0c\u90a3\u4e48 nums1[0 .. k\/2-1] \u90fd\u4e0d\u53ef\u80fd\u662f\u7b2c k \u5c0f\u7684\u5143\u7d20\u3002\u628a\u8fd9\u4e9b\u5143\u7d20\u5168\u90e8 "\u5220\u9664"\uff0c\u5269\u4e0b\u7684\u4f5c\u4e3a\u65b0\u7684 nums1 \u6570\u7ec4\n         * \u5982\u679c pivot = pivot2\uff0c\u90a3\u4e48 nums2[0 .. k\/2-1] \u90fd\u4e0d\u53ef\u80fd\u662f\u7b2c k \u5c0f\u7684\u5143\u7d20\u3002\u628a\u8fd9\u4e9b\u5143\u7d20\u5168\u90e8 "\u5220\u9664"\uff0c\u5269\u4e0b\u7684\u4f5c\u4e3a\u65b0\u7684 nums2 \u6570\u7ec4\n         * \u7531\u4e8e\u6211\u4eec "\u5220\u9664" \u4e86\u4e00\u4e9b\u5143\u7d20\uff08\u8fd9\u4e9b\u5143\u7d20\u90fd\u6bd4\u7b2c k \u5c0f\u7684\u5143\u7d20\u8981\u5c0f\uff09\uff0c\u56e0\u6b64\u9700\u8981\u4fee\u6539 k \u7684\u503c\uff0c\u51cf\u53bb\u5220\u9664\u7684\u6570\u7684\u4e2a\u6570\n         *\/\n\n        int length1 = nums1.length, length2 = nums2.length;\n        int index1 = 0, index2 = 0;\n        int kthElement = 0;\n\n        while (true) {\n            \/\/ \u8fb9\u754c\u60c5\u51b5\n            if (index1 == length1) {\n                return nums2[index2 + k - 1];\n            }\n            if (index2 == length2) {\n                return nums1[index1 + k - 1];\n            }\n            if (k == 1) {\n                return Math.min(nums1[index1], nums2[index2]);\n            }\n\n            \/\/ \u6b63\u5e38\u60c5\u51b5\n            int half = k \/ 2;\n            int newIndex1 = Math.min(index1 + half, length1) - 1;\n            int newIndex2 = Math.min(index2 + half, length2) - 1;\n            int pivot1 = nums1[newIndex1], pivot2 = nums2[newIndex2];\n            if (pivot1 <= pivot2) {\n                k -= (newIndex1 - index1 + 1);\n                index1 = newIndex1 + 1;\n            } else {\n                k -= (newIndex2 - index2 + 1);\n                index2 = newIndex2 + 1;\n            }\n        }\n    }\n}\n<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"
\u4e8c\u5206\u6cd5\u7a0d\u5fae\u96be\u4e00\u70b9\u7684\u4f8b\u5b50 \u7ed9\u5b9a\u4e24\u4e2a\u5927\u5c0f\u5206\u522b\u4e3a m \u548c n \u7684\u6b63\u5e8f\uff08\u4ece\u5c0f\u5230\u5927\uff09\u6570\u7ec4 nums1 \u548c nums2\u3002\u8bf7\u4f60\u627e\u51fa\u5e76\u8fd4\u56de\u8fd9\u4e24\u4e2a\u6b63 …<\/p>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[5,20,9],"class_list":["post-213","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-java","tag-20","tag-leetcode"],"_links":{"self":[{"href":"https:\/\/wangqianming.top\/index.php\/wp-json\/wp\/v2\/posts\/213","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wangqianming.top\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wangqianming.top\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wangqianming.top\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wangqianming.top\/index.php\/wp-json\/wp\/v2\/comments?post=213"}],"version-history":[{"count":1,"href":"https:\/\/wangqianming.top\/index.php\/wp-json\/wp\/v2\/posts\/213\/revisions"}],"predecessor-version":[{"id":214,"href":"https:\/\/wangqianming.top\/index.php\/wp-json\/wp\/v2\/posts\/213\/revisions\/214"}],"wp:attachment":[{"href":"https:\/\/wangqianming.top\/index.php\/wp-json\/wp\/v2\/media?parent=213"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wangqianming.top\/index.php\/wp-json\/wp\/v2\/categories?post=213"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wangqianming.top\/index.php\/wp-json\/wp\/v2\/tags?post=213"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}