{"id":1869,"date":"2019-10-11T09:09:28","date_gmt":"2019-10-11T01:09:28","guid":{"rendered":"http:\/\/www.sniper97.cn\/?p=1869"},"modified":"2019-10-11T09:09:28","modified_gmt":"2019-10-11T01:09:28","slug":"%e3%80%90%e7%ae%97%e6%b3%95%e5%88%86%e6%9e%90%e4%b8%8e%e8%ae%be%e8%ae%a1%e3%80%91%e5%87%bd%e6%95%b0%e7%9a%84%e5%a2%9e%e9%95%bf","status":"publish","type":"post","link":"http:\/\/www.sniper97.cn\/index.php\/note\/introduction_to_algorithms\/1869\/","title":{"rendered":"\u3010\u7b97\u6cd5\u5bfc\u8bba\u3011\u51fd\u6570\u7684\u589e\u957f"},"content":{"rendered":"\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"326\" height=\"336\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-24.png\" alt=\"\" class=\"wp-image-1879\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-24.png 326w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-24-291x300.png 291w\" sizes=\"(max-width: 326px) 100vw, 326px\" \/><\/figure><\/div>\n\n\n<h2 class=\"wp-block-heading\">2.1 \u6e10\u8fdb\u8bb0\u53f7<\/h2>\n\n\n<h3 class=\"wp-block-heading\">2.1.1 \u03b8 \u8bb0\u53f7<\/h3>\n\n\n<p> \u03b8()\u7528\u6765\u63cf\u8ff0\u4e00\u4e2a\u533a\u95f4\uff08\u7ed9\u51fa\u4e86\u4e0a\u754c\u548c\u4e0b\u754c\uff09\uff0c\u5982\u4e0b\u56fe\uff0c\u53730&lt;=c_1g(n)&lt;=f(n)&lt;=c_2g(n).<\/p>\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"325\" height=\"297\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-17.png\" alt=\"\" class=\"wp-image-1870\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-17.png 325w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-17-300x274.png 300w\" sizes=\"(max-width: 325px) 100vw, 325px\" \/><\/figure><\/div>\n\n\n<p> \u5176\u4e2d\u5e38\u6570c_1\u548cc_2\u5747\u5927\u4e8e0\u4e14\u90fd\u9700\u8981\u5b58\u5728\u5f53n\u8db3\u591f\u5927\u65f6\u4e0a\u5f0f\u80fd\u591f\u6ee1\u8db3\uff0c\u5219\u6ee1\u8db3f(n) =  \u03b8 (g(n))\u3002<\/p>\n\n\n<h3 class=\"wp-block-heading\">2.1.2  \u039f \u8bb0\u53f7<\/h3>\n\n\n<p>O\u8bb0\u53f7\u53ea\u7ed9\u51fa\u4e86\u6e10\u8fd1\u4e0a\u754c\u3002\u4e5f\u5c31\u662f\u8bf4O()\u7684\u503c\u5728 \u03b8() \u4e4b\u4e2d\uff0c\u6211\u4eec\u4e00\u822c\u7528O\u63cf\u8ff0\u7b97\u6cd5\u7684\u6700\u574f\u60c5\u51b5\u3002<\/p>\n\n\n<p>\u4e5f\u5c31\u662f\u8bf4\uff0c\u6bd4\u5982\u4f60\u8bf4\u63d2\u5165\u6392\u5e8f\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662fO(n^2)\u662f\u4e0d\u5408\u9002\u7684\uff0c\u56e0\u4e3a\u786e\u5b9e\u5b58\u5728\u67d0\u4e00\u5e8f\u5217\u4f7f\u5f97\u63d2\u5165\u6392\u5e8f\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u8fbe\u5230 \u03b8(n)\uff0c\u56e0\u6b64\u6211\u4eec\u53ea\u80fd\u8bf4\u63d2\u5165\u6392\u5e8f\u5728\u6700\u574f\u7684\u60c5\u51b5\u4e0b\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n^2) \u3002<\/p>\n\n\n<p>\u4e5f\u5c31\u662f\u5224\u65ad\u4f9d\u636e\u662f f(n)&lt;=c_2g(n). \u5176\u4e2dc_2\u4e5f\u662f\u4e00\u4e2a\u5927\u4e8e0\u7684\u5e38\u6570\u3002<\/p>\n\n\n<h3 class=\"wp-block-heading\">2.1.3 \u03a9 \u8bb0\u53f7<\/h3>\n\n\n<p>\u76f8\u5bf9O\u7684\u6e10\u8fd1\u4e0a\u754c\uff0c \u03a9 \u5219\u7ed9\u51fa\u4e86\u6e10\u8fd1\u4e0b\u754c\u3002<\/p>\n\n\n<p>\u4e5f\u5c31\u662f\u5bf9\u4e8e\u63d2\u5165\u6392\u5e8f\uff0c\u6211\u4eec\u53ef\u4ee5\u8bf4O(n^2)\uff0c\u4e5f\u53ef\u4ee5\u8bf4 \u03a9 (n)\u3002<\/p>\n\n\n<p>\u5224\u522b\u4f9d\u636e\u662f 0&lt;=c_1g(n)&lt;=f(n) \u3002\u5176\u4e2dc_1\u662f\u4e00\u4e2a\u5927\u4e8e0\u7684\u5e38\u6570\u3002<\/p>\n\n\n<h2 class=\"wp-block-heading\">\u7ec3\u4e603.1-1<\/h2>\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"757\" height=\"57\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-19.png\" alt=\"\" class=\"wp-image-1872\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-19.png 757w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-19-300x23.png 300w\" sizes=\"(max-width: 757px) 100vw, 757px\" \/><\/figure>\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"605\" height=\"357\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-56.png\" alt=\"\" class=\"wp-image-1967\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-56.png 605w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-56-300x177.png 300w\" sizes=\"(max-width: 605px) 100vw, 605px\" \/><\/figure>\n\n\n<h2 class=\"wp-block-heading\">\u7ec3\u4e603.1-2<\/h2>\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"433\" height=\"56\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-20.png\" alt=\"\" class=\"wp-image-1873\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-20.png 433w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-20-300x39.png 300w\" sizes=\"(max-width: 433px) 100vw, 433px\" \/><\/figure>\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"608\" height=\"359\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-57.png\" alt=\"\" class=\"wp-image-1968\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-57.png 608w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-57-300x177.png 300w\" sizes=\"(max-width: 608px) 100vw, 608px\" \/><\/figure>\n\n\n<h2 class=\"wp-block-heading\">\u7ec3\u4e603.1-4<\/h2>\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"349\" height=\"28\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-21.png\" alt=\"\" class=\"wp-image-1874\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-21.png 349w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-21-300x24.png 300w\" sizes=\"(max-width: 349px) 100vw, 349px\" \/><\/figure>\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"579\" height=\"163\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-58.png\" alt=\"\" class=\"wp-image-1969\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-58.png 579w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-58-300x84.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><\/figure>\n\n\n<h2 class=\"wp-block-heading\">\u7ec3\u4e603.3<\/h2>\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"792\" height=\"340\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-23.png\" alt=\"\" class=\"wp-image-1878\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-23.png 792w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-23-300x129.png 300w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-23-768x330.png 768w\" sizes=\"(max-width: 792px) 100vw, 792px\" \/><\/figure>\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"598\" height=\"735\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-59.png\" alt=\"\" class=\"wp-image-1972\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-59.png 598w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-59-244x300.png 244w\" sizes=\"(max-width: 598px) 100vw, 598px\" \/><\/figure>\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"418\" height=\"299\" src=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-60.png\" alt=\"\" class=\"wp-image-1973\" srcset=\"http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-60.png 418w, http:\/\/www.sniper97.cn\/wp-content\/uploads\/2019\/10\/\u56fe\u7247-60-300x215.png 300w\" sizes=\"(max-width: 418px) 100vw, 418px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>2.1 \u6e10\u8fdb\u8bb0\u53f7 2.1.1 \u03b8 \u8bb0\u53f7 \u03b8()\u7528\u6765\u63cf\u8ff0\u4e00\u4e2a\u533a\u95f4\uff08\u7ed9\u51fa\u4e86\u4e0a\u754c\u548c\u4e0b\u754c\uff09\uff0c\u5982\u4e0b\u56fe\uff0c\u53730&#038;l 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