{"id":292,"date":"2025-08-27T17:02:08","date_gmt":"2025-08-27T09:02:08","guid":{"rendered":"https:\/\/heyingnian.com\/?p=292"},"modified":"2025-08-27T17:02:42","modified_gmt":"2025-08-27T09:02:42","slug":"leetcode-56","status":"publish","type":"post","link":"https:\/\/heyingnian.com\/index.php\/2025\/08\/27\/leetcode-56\/","title":{"rendered":"\u5408\u5e76\u533a\u95f4"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\">\ud83d\udd17 \u5408\u5e76\u533a\u95f4<\/h1>\n\n\n\n<p>\u9898\u76ee\u6765\u6e90\uff1a<a target=\"_blank\" rel=\"noreferrer noopener\"><a href=\"https:\/\/leetcode.cn\/problems\/merge-intervals\/?envType=study-plan-v2&amp;envId=top-100-liked\" target=\"_blank\" rel=\"noopener\">56. \u5408\u5e76\u533a\u95f4 &#8211; \u529b\u6263\uff08LeetCode\uff09<\/a><\/a><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udccc \u9898\u76ee\u63cf\u8ff0<\/p>\n\n\n\n<p>\u4ee5\u6570\u7ec4 <code>intervals<\/code> \u8868\u793a\u82e5\u5e72\u4e2a\u533a\u95f4\u7684\u96c6\u5408\uff0c\u5176\u4e2d\u5355\u4e2a\u533a\u95f4\u4e3a <code>intervals[i] = [start_i, end_i]<\/code>\u3002\u8bf7\u4f60<strong>\u5408\u5e76\u6240\u6709\u91cd\u53e0\u7684\u533a\u95f4<\/strong>\uff0c\u5e76\u8fd4\u56de\u4e00\u4e2a<strong>\u4e0d\u91cd\u53e0\u7684\u533a\u95f4\u6570\u7ec4<\/strong>\uff0c\u8be5\u6570\u7ec4\u9700\u6070\u597d\u8986\u76d6\u8f93\u5165\u4e2d\u7684\u6240\u6709\u533a\u95f4\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u91cd\u53e0\u5b9a\u4e49<\/strong>\uff1a\u4e24\u4e2a\u533a\u95f4\u00a0<code>[a, b]<\/code>\u00a0\u548c\u00a0<code>[c, d]<\/code>\u00a0\u91cd\u53e0\uff0c\u5f53\u4e14\u4ec5\u5f53\u00a0<code>b >= c<\/code>\u00a0\u4e14\u00a0<code>d >= a<\/code>\uff08\u5373\u6709\u4ea4\u96c6\uff09\u3002<\/li>\n\n\n\n<li>\u7279\u522b\u5730\uff0c<code>[1,4]<\/code>\u00a0\u548c\u00a0<code>[4,5]<\/code>\u00a0\u88ab\u89c6\u4e3a\u91cd\u53e0\uff08\u7aef\u70b9\u76f8\u63a5\uff09\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u2705 \u793a\u4f8b\u89e3\u6790<\/p>\n\n\n\n<p>\u793a\u4f8b 1\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8f93\u5165\uff1a<code>intervals = [[1,3],[2,6],[8,10],[15,18]]<\/code><\/li>\n\n\n\n<li>\u8f93\u51fa\uff1a<code>[[1,6],[8,10],[15,18]]<\/code><\/li>\n\n\n\n<li>\u89e3\u91ca\uff1a\n<ul class=\"wp-block-list\">\n<li><code>[1,3]<\/code>\u00a0\u4e0e\u00a0<code>[2,6]<\/code>\u00a0\u91cd\u53e0 \u2192 \u5408\u5e76\u4e3a\u00a0<code>[1,6]<\/code><\/li>\n\n\n\n<li><code>[8,10]<\/code>\u00a0\u548c\u00a0<code>[15,18]<\/code>\u00a0\u65e0\u91cd\u53e0\uff0c\u4fdd\u7559\u539f\u6837\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u793a\u4f8b 2\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8f93\u5165\uff1a<code>intervals = [[1,4],[4,5]]<\/code><\/li>\n\n\n\n<li>\u8f93\u51fa\uff1a<code>[[1,5]]<\/code><\/li>\n\n\n\n<li>\u89e3\u91ca\uff1a\u4e24\u4e2a\u533a\u95f4\u7aef\u70b9\u76f8\u63a5\uff0c\u5408\u5e76\u4e3a\u00a0<code>[1,5]<\/code>\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u793a\u4f8b 3\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8f93\u5165\uff1a<code>intervals = [[1,4],[0,4]]<\/code><\/li>\n\n\n\n<li>\u8f93\u51fa\uff1a<code>[[0,4]]<\/code><\/li>\n\n\n\n<li>\u89e3\u91ca\uff1a<code>[0,4]<\/code>\u00a0\u5b8c\u5168\u8986\u76d6\u00a0<code>[1,4]<\/code>\uff0c\u5408\u5e76\u540e\u4e3a\u00a0<code>[0,4]<\/code>\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u26a0\ufe0f \u63d0\u793a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>1 &lt;= intervals.length &lt;= 10\u2074<\/code><\/li>\n\n\n\n<li><code>intervals[i].length == 2<\/code><\/li>\n\n\n\n<li><code>0 &lt;= start_i &lt;= end_i &lt;= 10\u2074<\/code><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udca1 \u89e3\u6cd5\uff1a\u6392\u5e8f + \u8d2a\u5fc3\u5408\u5e76 \u2014\u2014 O(n log n) \u65f6\u95f4<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>class Solution {\n    public int&#91;]&#91;] merge(int&#91;]&#91;] intervals) {\n        int&#91;]&#91;] ans = new int&#91;intervals.length]&#91;2];\n        Arrays.sort(intervals, (p1, p2) -> p1&#91;0] - p2&#91;0]);\n        int index = -1;\n        for (int&#91;] p : intervals) {\n            if (index == -1 || p&#91;0] > ans&#91;index]&#91;1]) {\n                ans&#91;++index] = p;\n            } else {\n                ans&#91;index]&#91;1] = Math.max(ans&#91;index]&#91;1], p&#91;1]);\n            }\n        }\n        return Arrays.copyOf(ans, index + 1);\n    }\n}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udcca \u590d\u6742\u5ea6\u5206\u6790<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u65f6\u95f4\u590d\u6742\u5ea6\uff1aO(n log n)<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u6392\u5e8f\uff1aO(n log n)\uff08\u4e3b\u5bfc\u9879\uff09<\/li>\n\n\n\n<li>\u904d\u5386\u5408\u5e76\uff1aO(n)<\/li>\n\n\n\n<li>\u603b\u4f53\u65f6\u95f4\u7531\u6392\u5e8f\u51b3\u5b9a\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7a7a\u95f4\u590d\u6742\u5ea6\uff1aO(1)<\/strong>\uff08\u4e0d\u8ba1\u8fd4\u56de\u6570\u7ec4\uff09\n<ul class=\"wp-block-list\">\n<li>\u4f7f\u7528\u56fa\u5b9a\u5927\u5c0f\u7684\u8f85\u52a9\u6570\u7ec4\u00a0<code>ans<\/code>\uff08\u6700\u591a\u5b58\u50a8\u00a0<code>n<\/code>\u00a0\u4e2a\u533a\u95f4\uff09<\/li>\n\n\n\n<li>\u6392\u5e8f\u7a7a\u95f4\u53d6\u51b3\u4e8e\u5e95\u5c42\u5b9e\u73b0\uff08\u5982\u5feb\u901f\u6392\u5e8f\u4e3a O(log n)\uff09<\/li>\n\n\n\n<li>\u901a\u5e38\u8ba4\u4e3a\u989d\u5916\u7a7a\u95f4\u4e3a\u5e38\u6570\u6216\u5bf9\u6570\u7ea7\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83e\udde9 \u89e3\u9898\u601d\u8def<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6838\u5fc3\u601d\u60f3\uff1a\u6392\u5e8f + \u8d2a\u5fc3\u5408\u5e76<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u5148\u6309\u533a\u95f4\u7684<strong>\u8d77\u59cb\u4f4d\u7f6e<\/strong>\u5347\u5e8f\u6392\u5e8f\u3002<\/li>\n\n\n\n<li>\u904d\u5386\u6392\u5e8f\u540e\u7684\u533a\u95f4\uff0c\u7ef4\u62a4\u4e00\u4e2a\u5f53\u524d\u5408\u5e76\u533a\u95f4\uff0c\u82e5\u4e0e\u4e0b\u4e00\u4e2a\u533a\u95f4\u91cd\u53e0\u5219\u5408\u5e76\uff0c\u5426\u5219\u52a0\u5165\u7ed3\u679c\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u4e3a\u4ec0\u4e48\u8981\u6392\u5e8f\uff1f<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u6392\u5e8f\u540e\uff0c\u6240\u6709\u53ef\u80fd\u91cd\u53e0\u7684\u533a\u95f4\u90fd\u4f1a\u76f8\u90bb\u51fa\u73b0\u3002<\/li>\n\n\n\n<li>\u53ea\u9700\u5224\u65ad\u5f53\u524d\u533a\u95f4\u4e0e\u524d\u4e00\u4e2a\u5408\u5e76\u533a\u95f4\u7684\u7ed3\u675f\u4f4d\u7f6e\u5173\u7cfb\u5373\u53ef\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5408\u5e76\u903b\u8f91<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u4f7f\u7528\u00a0<code>ans<\/code>\u00a0\u6570\u7ec4\u5b58\u50a8\u5408\u5e76\u7ed3\u679c\uff0c<code>index<\/code>\u00a0\u6307\u5411\u6700\u540e\u4e00\u4e2a\u5df2\u5408\u5e76\u533a\u95f4\u7684\u7d22\u5f15\u3002<\/li>\n\n\n\n<li>\u904d\u5386\u6bcf\u4e2a\u533a\u95f4\u00a0<code>p = [start, end]<\/code>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>\u60c5\u51b5 1<\/strong>\uff1a\u82e5\u5f53\u524d\u7ed3\u679c\u4e3a\u7a7a\uff08<code>index == -1<\/code>\uff09\u6216\u00a0<code>p[0] > ans[index][1]<\/code>\uff08\u65e0\u91cd\u53e0\uff09<br>\u2192 \u5c06\u00a0<code>p<\/code>\u00a0\u4f5c\u4e3a\u65b0\u533a\u95f4\u52a0\u5165\uff1a<code>ans[++index] = p<\/code><\/li>\n\n\n\n<li><strong>\u60c5\u51b5 2<\/strong>\uff1a\u82e5\u00a0<code>p[0] &lt;= ans[index][1]<\/code>\uff08\u6709\u91cd\u53e0\uff09<br>\u2192 \u5408\u5e76\uff1a\u66f4\u65b0\u5f53\u524d\u533a\u95f4\u7684\u53f3\u7aef\u70b9\u4e3a\u00a0<code>max(ans[index][1], p[1])<\/code><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5173\u952e\u70b9\uff1a\u7aef\u70b9\u76f8\u63a5\u4e5f\u7b97\u91cd\u53e0<\/strong><br>\u6761\u4ef6 <code>p[0] > ans[index][1]<\/code> \u8868\u793a\u201c\u65e0\u91cd\u53e0\u201d\uff0c\u53cd\u4e4b\uff08<code>&lt;=<\/code>\uff09\u5373\u4e3a\u91cd\u53e0\uff0c\u5305\u542b\u7aef\u70b9\u76f8\u63a5\u7684\u60c5\u51b5\u3002<\/li>\n\n\n\n<li><strong>\u7ed3\u679c\u622a\u53d6<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><code>ans<\/code>\u00a0\u6570\u7ec4\u521d\u59cb\u5927\u5c0f\u4e3a\u00a0<code>intervals.length<\/code>\uff0c\u4f46\u5b9e\u9645\u5408\u5e76\u540e\u6570\u91cf\u53ef\u80fd\u66f4\u5c11\u3002<\/li>\n\n\n\n<li>\u4f7f\u7528\u00a0<code>Arrays.copyOf(ans, index + 1)<\/code>\u00a0\u8fd4\u56de\u6709\u6548\u90e8\u5206\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u4e3e\u4f8b\u8bf4\u660e<\/strong>\uff1a<br>\u5bf9 <code>intervals = [[1,3],[2,6],[8,10],[15,18]]<\/code>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u6392\u5e8f\u540e\u4e0d\u53d8<\/li>\n\n\n\n<li>p=[1,3]\uff1aindex=-1 \u2192 \u52a0\u5165\uff0cans[0]=[1,3], index=0<\/li>\n\n\n\n<li>p=[2,6]\uff1a2 &lt;= 3 \u2192 \u5408\u5e76\uff0cans[0]=[1,6]<\/li>\n\n\n\n<li>p=[8,10]\uff1a8 > 6 \u2192 \u65e0\u91cd\u53e0\uff0cans[1]=[8,10], index=1<\/li>\n\n\n\n<li>p=[15,18]\uff1a15 > 10 \u2192 \u65e0\u91cd\u53e0\uff0cans[2]=[15,18], index=2<\/li>\n\n\n\n<li>\u8fd4\u56de\u00a0<code>ans[0..2]<\/code><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\ud83d\udd17 \u5408\u5e76\u533a\u95f4 \u9898\u76ee\u6765\u6e90\uff1a56. \u5408\u5e76\u533a\u95f4 &#8211; \u529b\u6263\uff08LeetCode\uff09 \ud83d\udccc \u9898\u76ee\u63cf\u8ff0 \u4ee5\u6570\u7ec4 in [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[30,12],"tags":[33,31,14],"class_list":["post-292","post","type-post","status-publish","format-standard","hentry","category-ordinary_arrays","category-algorithm","tag-sorting","tag-array","tag-algorithm"],"_links":{"self":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts\/292","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/comments?post=292"}],"version-history":[{"count":1,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts\/292\/revisions"}],"predecessor-version":[{"id":293,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts\/292\/revisions\/293"}],"wp:attachment":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/media?parent=292"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/categories?post=292"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/tags?post=292"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}