{"id":249,"date":"2021-12-09T11:53:22","date_gmt":"2021-12-09T03:53:22","guid":{"rendered":"https:\/\/scutvk.cn\/?p=249"},"modified":"2022-01-04T20:46:31","modified_gmt":"2022-01-04T12:46:31","slug":"%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84%e6%9f%a5%e6%89%be","status":"publish","type":"post","link":"https:\/\/scutvk.cn\/?p=249","title":{"rendered":"[\u6570\u636e\u7ed3\u6784]\u67e5\u627e"},"content":{"rendered":"\n<p>\u672c\u6587\u5c06\u5c55\u793a\u6570\u636e\u7ed3\u6784\u4e2d\u5e38\u89c1\u7684\u67e5\u627e\u65b9\u5f0f\u4ee5\u53ca\u4f7f\u7528\u5b83\u4eec\u7684\u5177\u4f53\u5b9e\u73b0\u6b65\u9aa4\u3002<\/p>\n\n\n\n<p style=\"font-size:24px\"><strong>1. \u9759\u6001\u67e5\u627e\u8868\u548c\u52a8\u6001\u8868\u627e\u8868<\/strong><\/p>\n\n\n\n<p>\u6211\u4eec\u5148\u770b\u5b83\u4eec\u7684\u5b9a\u4e49<\/p>\n\n\n\n<p><strong>\u9759\u6001\u67e5\u627e\u8868\uff08static search table\uff09<\/strong> &nbsp; \u53ea\u5bf9\u67e5\u627e\u8868\u8fdb\u884c\u201c\u67e5\u627e\u201d\u64cd\u4f5c\u7684\u4e00\u7c7b\u67e5\u627e\u8868<\/p>\n\n\n\n<p><strong>\u52a8\u6001\u67e5\u627e\u8868\uff08dynamic search table\uff09<\/strong>\u5bf9\u67e5\u627e\u8868\u4e0d\u4ec5\u8fdb\u884c\u201c\u67e5\u627e\u201d\u64cd\u4f5c\uff0c\u5728\u67e5\u627e\u8fc7\u7a0b\u4e2d\u8fd8\u540c\u65f6\u63d2\u5165\u65b0\u7684\u6570\u636e\u5143\u7d20\u6216\u5220\u9664\u5df2\u6709\u6570\u636e\u5143\u7d20\u7684\u4e00\u7c7b\u67e5\u627e\u8868\u3002<\/p>\n\n\n\n<p>\u7b80\u5355\u6765\u8bf4\uff0c\u9759\u6001\u8868\u627e\u8868\u66f4\u50cf\u662f\u6211\u4eec\u5e73\u5e38\u6240\u8bf4\u7684\u201c\u67e5\u627e\u201d\u8fd9\u4e48\u4e00\u4e2a\u542b\u4e49\uff0c\u5b83\u53ea\u5bf9\u6211\u4eec\u7684\u67e5\u627e\u8868\u8fdb\u884c\u68c0\u7d22\uff0c\u641c\u7d22\u6211\u4eec\u60f3\u8981\u627e\u7684\u5143\u7d20\u800c\u4e0d\u5bf9\u5176\u8fdb\u884c\u4efb\u4f55\u4fee\u6539\u64cd\u4f5c\uff1b\u4e0e\u4e4b\u76f8\u53cd\uff0c\u52a8\u6001\u8868\u627e\u8868\u5219\u662f\u5bf9\u67e5\u627e\u8868\u8fdb\u884c\u641c\u7d22\u540e\uff0c\u53ef\u4ee5\u5bf9\u5176\u8fdb\u884c\u589e\u52a0\u3001\u5220\u9664\u3001\u4fee\u6539\u7b49\u64cd\u4f5c\u7684\u627e\u8868\u65b9\u5f0f\u3002<\/p>\n\n\n\n<p> <strong>\u9759\u6001\u67e5\u627e\u8868<\/strong> \u5305\u542b\u4ee5\u4e0b\u51e0\u79cd\u5e38\u89c1\u7684\u65b9\u5f0f\uff1a\u987a\u5e8f\u67e5\u627e\u3001\u6298\u534a\u67e5\u627e\u3001\u7d22\u5f15\u987a\u5e8f\u67e5\u627e\u3002<\/p>\n\n\n\n<p> <strong>\u52a8\u6001\u67e5\u627e\u8868<\/strong> \u5305\u542b\u4ee5\u4e0b\u51e0\u79cd\u5e38\u89c1\u7684\u65b9\u5f0f\uff1a\u4e8c\u53c9\u6392\u5e8f\u6811\u3001\u5e73\u8861\u4e8c\u53c9\u6811\u67e5\u627e\u30012-3\u6811\u67e5\u627e\u3001B-\u6811\u67e5\u627e\u3001B+\u6811\u67e5\u627e\u3001\u54c8\u5e0c\u8868\u67e5\u627e\u3002<\/p>\n\n\n\n<p style=\"font-size:24px\"><strong>2.\u9759\u6001\u8868\u627e\u8868<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>2.1\u987a\u5e8f\u67e5\u627e<\/strong><\/p>\n\n\n\n<p>\u987a\u5e8f\u67e5\u627e\u5c31\u662f\u6700\u666e\u901a\u7684\u7ebf\u6027\u9012\u589e\u67e5\u627e\u3002<\/p>\n\n\n\n<p>\u57fa\u672c\u601d\u60f3\u662f\uff0c\u4ece\u8868\u4e2d\u7b2c\u4e00\u4e2a\u8bb0\u5f55\u5f00\u59cb\uff0c\u9010\u4e2a\u8fdb\u884c\u8bb0\u5f55\u7684\u5173\u952e\u5b57\u4e0e\u7ed9\u5b9a\u503c\u7684\u6bd4\u8f83\uff0c\u82e5\u67d0\u4e2a\u8bb0\u5f55\u7684\u5173\u952e\u5b57\u4e0e\u7ed9\u5b9a\u503c\u6bd4\u8f83\u76f8\u7b49\uff0c\u5219\u67e5\u627e\u6210\u529f\uff1b\u53cd\u4e4b\uff0c\u82e5\u76f4\u81f3\u6700\u540e\u4e00\u4e2a\u8bb0\u5f55\uff0c\u5176\u5173\u952e\u5b57\u4e0e\u7ed9\u5b9a\u503c\u6bd4\u8f83\u90fd\u4e0d\u7b49\uff0c\u5219\u8868\u660e\u8868\u4e2d\u6ca1\u6709\u6240\u67e5\u8bb0\u5f55\uff0c\u67e5\u627e\u4e0d\u6210\u529f\u3002<\/p>\n\n\n\n<p>\u987a\u5e8f\u67e5\u627e\u7684\u4f18\u70b9\u662f\uff0c\u7b97\u6cd5\u7b80\u5355\uff0c\u4e14\u5bf9\u8868\u7684\u7ed3\u6784\u65e0\u4efb\u4f55\u8981\u6c42\uff0c\u65e0\u8bba\u7528\u5411\u91cf\u8fd8\u662f\u7528\u94fe\u8868\u6765\u5b58\u653e\u7ed3\u70b9\uff0c\u4e5f\u65e0\u8bba\u7ed3\u70b9\u4e4b\u95f4\u662f\u5426\u6309\u5173\u952e\u5b57\u6709\u5e8f\uff0c\u5b83\u90fd\u540c\u6837\u9002\u7528\u3002\u4f46\u662f\uff0c\u987a\u5e8f\u67e5\u627e\u7684\u7f3a\u70b9\u662f\uff0c\u67e5\u627e\u6548\u7387\u4f4e\uff0c\u5e73\u5747\u67e5\u627e\u957f\u5ea6\u8f83\u5927\uff0c\u7279\u522b\u662f\u5f53n\u5f88\u5927\u65f6\uff0c\u67e5\u627e\u6548\u7387\u8f83\u4f4e\u3002<\/p>\n\n\n\n<p>\u987a\u5e8f\u67e5\u627e\u67e5\u627e\u5e73\u5747\u957f\u5ea6\uff1a<\/p>\n\n\n\n<p>\u5047\u8bbe\u67e5\u627e\u6bcf\u4e2a\u8bb0\u5f55\u7684\u6982\u7387\u76f8\u7b49\uff0c\u5373Pi = 1\/n\uff0c\u5219\u5728\u7b49\u6982\u7387\u60c5\u51b5\u4e0b\u987a\u5e8f\u67e5\u627e\u7684\u5e73\u5747\u67e5\u627e\u957f\u5ea6\u4e3a:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"566\" height=\"85\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/image-8.png\" alt=\"\" class=\"wp-image-272\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-8.png 566w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-8-300x45.png 300w\" sizes=\"(max-width: 566px) 100vw, 566px\" \/><\/figure><\/div>\n\n\n\n<p>\u65f6\u95f4\u590d\u6742\u5ea6\uff1aT = O(n)<\/p>\n\n\n\n<p>C++\u793a\u4f8b\uff1a<\/p>\n\n\n\n<p>\u51fd\u6570\u4f53\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int SequentialSearch(int* orilist, int length, int key)\n{     \n    int i;\n    for(i = 0;i &lt; length; ++i)\n    {\n        if(orilist&#91;i] == key)\n            return i;\n    }\n    return -1;\n}<\/code><\/pre>\n\n\n\n<p>\u68c0\u9a8c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int orilist&#91;] = {12, 23, 34, 53, 32, 24, 14, 15, 66, 77, 88, 99};\ncout &lt;&lt; \"SequentialSearch: the index of 14 is \" &lt;&lt;  SequentialSearch(orilist, 12, 66) &lt;&lt; endl;<\/code><\/pre>\n\n\n\n<p class=\"has-medium-font-size\"><strong>2.2\u6298\u534a\u67e5\u627e<\/strong><\/p>\n\n\n\n<p>\u6298\u534a\u67e5\u627e\u5b9e\u9645\u4e0a\u4e3a\u4e8c\u5206\u6cd5\u5728\u67e5\u627e\u4e2d\u7684\u4e00\u79cd\u5e94\u7528\u3002<\/p>\n\n\n\n<p>\u6709\u4e2a\u91cd\u8981\u7684\u524d\u63d0\u5c31\u662f\uff1a<strong>\u67e5\u627e\u8868\u5fc5\u987b\u5df2\u7ecf\u6392\u5e8f\u624d\u80fd\u4f7f\u7528\u6298\u534a\u67e5\u627e\u3002<\/strong><\/p>\n\n\n\n<p>\u6298\u534a\u67e5\u627e\u57fa\u672c\u601d\u60f3\u662f\u9996\u5148\u4ee5\u6574\u4e2a\u8868\u4f5c\u4e3a\u67e5\u627e\u8303\u56f4\uff0c\u7528\u67e5\u627e\u6761\u4ef6\u4e2d\u7ed9\u5b9a\u503ck\u4e0e\u4e2d\u95f4\u4f4d\u7f6e\u7ed3\u70b9\u7684\u5173\u952e\u5b57\u8fdb\u884c\u6bd4\u8f83\uff0c\u82e5\u76f8\u7b49\uff0c\u5219\u67e5\u627e\u6210\u529f\uff0c\u5426\u5219\u6839\u636e\u6bd4\u8f83\u7ed3\u679c\u7f29\u5c0f\u67e5\u627e\u8303\u56f4\u3002\u5982\u679ck\u503c\u5c0f\u4e8e\u5173\u952e\u5b57\u7684\u503c\uff0c\u7531\u8868\u7684\u6709\u5e8f\u6027\u53ef\u77e5\u67e5\u627e\u7684\u6570\u636e\u5143\u7d20\u53ea\u6709\u53ef\u80fd\u5728\u8868\u7684\u5de6\u534a\u90e8\u5206\uff08\u8fd9\u91cc\u5047\u8bbe\u8868\u4e3a\u5347\u5e8f\u6392\u5217\uff09\uff0c\u6240\u4ee5\u7ee7\u7eed\u5bf9\u5de6\u5b50\u8868\u8fdb\u884c\u6298\u534a\u67e5\u627e\uff1b\u82e5k\u503c\u5927\u4e8e\u4e2d\u95f4\u7ed3\u70b9\u7684\u5173\u952e\u5b57\u503c\uff0c\u5219\u53ef\u5224\u5b9a\u67e5\u627e\u7684\u6570\u636e\u5143\u7d20\u53ea\u53ef\u80fd\u5728\u8868\u7684\u53f3\u534a\u90e8\uff0c\u6240\u4ee5\u7ee7\u7eed\u5bf9\u53f3\u5b50\u8868\u8fdb\u884c\u6298\u534a\u67e5\u627e\u3002<\/p>\n\n\n\n<p><strong>\u4f8b<\/strong>\uff1a<\/p>\n\n\n\n<p>\u5df2\u77e5\u4e00\u4e2a\u670911\u4e2a\u6570\u636e\u5143\u7d20\u7684\u6709\u5e8f\u8868\uff08\u5173\u952e\u5b57\u5373\u4e3a\u6570\u636e\u5143\u7d20\u7684\u503c\uff09\uff1a(04, 15, 20, 27, 39, 46, 59, 61, 78, 82, 95)\uff0c\u73b0\u8981\u67e5\u627e\u5173\u952e\u5b57\u4e3a27\u548c86\u7684\u6570\u636e\u5143\u7d20\u3002\u4e0b\u9762\u5206\u522b\u7ed9\u51fa\u67e5\u627e\u8fc7\u7a0b\uff0c\u5176\u4e2d\u7684\u65b9\u62ec\u53f7\u8868\u793a\u5f53\u524d\u7684\u67e5\u627e\u533a\u95f4\uff0c\u201c\u2191\u201d\u6307\u5411\u4e2d\u95f4\u4f4d\u7f6e\u3001\u4e0b\u754c\u548c\u4e0a\u754c\u3002\u67e5\u627e\u7ed9\u5b9a\u503ckey = 27\u7684\u8fc7\u7a0b\u5982\u4e0b\uff1a<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"502\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/image-1024x502.png\" alt=\"\" class=\"wp-image-250\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-1024x502.png 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-300x147.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-768x376.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-769x377.png 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image.png 1110w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption>\u56fe1\u3001\u6298\u534a\u67e5\u627e<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u65f6\u95f4\u590d\u6742\u5ea6\uff1aT = O(log2 n)<\/p>\n\n\n\n<p>C++\u793a\u4f8b\uff1a<\/p>\n\n\n\n<p>\u51fd\u6570\u4f53\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int BinarySearch(int* orilist, int length, int key)\n\/\/ orilist must be a sorted list in BinarySearch.\n{\n    int low,mid,high;\n    low = 0;           \/\/loweset index\n    high = length - 1;          \/\/highest index\n    mid = (low + high) \/ 2; \/\/ middle element index\n    while(low &lt;= high)\n    {\n        if(key &lt; orilist&#91;mid])\n            high = mid - 1;\n        else if(key &gt; orilist&#91;mid])\n            low = mid + 1;\n        else\n            return mid;\n        mid = (low + high) \/ 2;\n    } \n    return 0;\n}<\/code><\/pre>\n\n\n\n<p>\u68c0\u9a8c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int orisortedlist&#91;] = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12};\ncout &lt;&lt; \"BinarySearch: the index of 4 is \" &lt;&lt;  BinarySearch(orisortedlist, 12, 4) &lt;&lt; endl;  <\/code><\/pre>\n\n\n\n<p class=\"has-medium-font-size\"><strong>2.3\u7d22\u5f15\u987a\u5e8f\u67e5\u627e<\/strong><\/p>\n\n\n\n<p>\u5b9e\u73b0\uff1a<\/p>\n\n\n\n<p>\u2460\u5148\u67e5\u627e\u7d22\u5f15\u8868\u3002\u7d22\u5f15\u8868\u662f\u6709\u5e8f\u8868\uff0c\u53ef\u8fdb\u884c\u6298\u534a\u67e5\u627e\u6216\u987a\u5e8f\u67e5\u627e\uff0c\u4ee5\u786e\u5b9a\u5f85\u67e5\u7684\u7ed3\u70b9\u5728\u54ea\u4e00\u5757\uff1b<\/p>\n\n\n\n<p>\u2461\u5728\u5df2\u786e\u5b9a\u7684\u5757\u4e2d\u8fdb\u884c\u987a\u5e8f\u67e5\u627e\uff0c\u7531\u4e8e\u5757\u5185\u65e0\u5e8f\uff0c\u56e0\u6b64\u53ea\u80fd\u7528\u987a\u5e8f\u67e5\u627e\u3002<\/p>\n\n\n\n<p>\u4e0b\u9762\u4e24\u79cd\u5747\u662f\u7d22\u5f15\u8868\u67e5\u627e\uff0c\u4e00\u79cd\u662f\u67e5\u627e\u8868\u4e2d\u6309\u7d22\u5f15\u8868\u7684\u5173\u952e\u5b57\u5206\u6210\u4e86\u4e0d\u540c\u7684\u5757\uff0c\u800c\u5757\u5185\u90e8\u662f\u65e0\u5e8f\u7684\uff0c\u8fd9\u79cd\u6211\u4eec\u901a\u8fc7\u7d22\u5f15\u8868\u627e\u5230\u5757\u540e\uff0c\u5728\u5757\u7684\u5185\u90e8\u901a\u8fc7\u987a\u5e8f\u67e5\u627e\u627e\u5230\u88ab\u641c\u7d22\u7684\u5185\u5bb9\uff1b\u53e6\u4e00\u79cd\u5219\u662f\u5757\u5185\u90e8\u6709\u5e8f\u7684\uff0c\u5bf9\u4e8e\u8fd9\u79cd\u8868\uff0c\u6211\u4eec\u901a\u8fc7\u7d22\u5f15\u8868\u627e\u5230\u5757\u540e\uff0c\u5728\u5757\u7684\u91cc\u9762\u53ef\u4ee5\u901a\u8fc7\u987a\u5e8f\u67e5\u627e\u4e5f\u53ef\u4ee5\u901a\u8fc7\u6298\u534a\u67e5\u627e\u6765\u8fdb\u884c\u8fdb\u4e00\u6b65\u641c\u7d22\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"350\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/image-1-1024x350.png\" alt=\"\" class=\"wp-image-251\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-1-1024x350.png 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-1-300x102.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-1-768x262.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-1-769x263.png 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-1.png 1154w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption>\u56fe2\u3001\u7d22\u5f15\u8868\u67e5\u627e<\/figcaption><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"951\" height=\"868\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/image-2.png\" alt=\"\" class=\"wp-image-253\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-2.png 951w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-2-300x274.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-2-768x701.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-2-769x702.png 769w\" sizes=\"(max-width: 951px) 100vw, 951px\" \/><figcaption> \u56fe3\u3001\u7d22\u5f15\u8868\u67e5\u627e <\/figcaption><\/figure><\/div>\n\n\n\n<p>\u6309\u6211\u4e2a\u4eba\u4e4b\u89c1\uff0c\u7d22\u5f15\u8868\u67e5\u627e\u50cf\u662f\u7528\u7d22\u5f15\u8868\u5bf9\u4e00\u4e2a\u8868\u8fdb\u884c\u201c\u7c97\u67e5\u627e\u201d\uff0c\u5728\u786e\u5b9a\u5927\u81f4\u8303\u56f4\uff08\u4e5f\u5c31\u7b97\u5757\uff09\u540e\u518d\u8fdb\u884c\u201c\u7ec6\u67e5\u627e\u201d\uff0c\u4ee5\u6b64\u6765\u964d\u4f4e\u67e5\u627e\u9700\u8981\u7684\u603b\u6b21\u6570\uff0c\u63d0\u5347\u6548\u7387\uff0c\u4e0d\u8fc7\u8fd9\u4e5f\u662f\u4e00\u79cd\u4ee5\u7a7a\u95f4\u6362\u65f6\u95f4\u7684\u505a\u6cd5\u3002<\/p>\n\n\n\n<p>C++\u793a\u4f8b\uff1a<\/p>\n\n\n\n<p>struct\u7ed3\u6784\u4f53\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\/\/ Block is used in BlockSearch.\nstruct Block\n{\n    int maxvalue;\n    int firstindex;\n    int length;\n} Blocks&#91;3];<\/code><\/pre>\n\n\n\n<p>\u51fd\u6570\u4f53\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int BlockSearch(int* orilist, Block* Blocks, int Blockslength, int key)\n{\n    for (int i = 0; i &lt; Blockslength; ++i)\n    {\n        if (key &lt; Blocks&#91;i].maxvalue)\n        {\n            for (int j = Blocks&#91;i].firstindex; j &lt; Blocks&#91;i].firstindex + Blocks&#91;i].length; ++j)\n            {\n                if (orilist&#91;j] == key)\n                {\n                    return j;\n                }\n            }\n            return -1;\n        }\n    }\n    return -1;\n}<\/code><\/pre>\n\n\n\n<p>\u68c0\u9a8c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>    int blocklist&#91;] = {8, 16, 4, 20, 44, 33, 22, 50, 99, 56, 70, 100};\n    Blocks&#91;0].firstindex = 0;\n    Blocks&#91;0].maxvalue = 20;\n    Blocks&#91;0].length = 4;\n    Blocks&#91;1].firstindex = 4;\n    Blocks&#91;1].maxvalue = 50;\n    Blocks&#91;1].length = 4;\n    Blocks&#91;2].firstindex = 8;\n    Blocks&#91;2].maxvalue = 100;\n    Blocks&#91;2].length = 4;\n    cout &lt;&lt; \"BlockSearch: the index of 33 is \" &lt;&lt;  BlockSearch(blocklist, Blocks, 3, 33) &lt;&lt; endl;<\/code><\/pre>\n\n\n\n<p style=\"font-size:24px\"><strong>3.\u52a8\u6001\u67e5\u8868<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>3.1\u4e8c\u53c9\u6392\u5e8f\u6811<\/strong><\/p>\n\n\n\n<p>\u5b9a\u4e49\uff1a<\/p>\n\n\n\n<p>\u4e8c\u53c9\u6392\u5e8f\u6811\uff08binary sort tree, BST\uff09\u53c8\u79f0\u4e8c\u53c9\u67e5\u627e\uff08\u641c\u7d22\uff09\u6811\uff08binary search tree,  BST\uff09\uff0c\u662f\u4e00\u79cd\u5e38\u7528\u7684\u52a8\u6001\u67e5\u627e\u8868\u3002&nbsp;<br>\u4e8c\u53c9\u6392\u5e8f\u6811\u53ef\u7528\u975e\u9012\u5f52\u5f62\u5f0f\u5b9a\u4e49\uff0c\u5373\u4e8c\u53c9\u6392\u5e8f\u6811\u662f\u4e00\u68f5\u4e8c\u53c9\u6811\uff0c\u5b83\u6216\u8005\u4e3a\u7a7a\uff0c\u6216\u8005\u5177\u6709\u5982\u4e0b\u6027\u8d28\uff1a<br>\u2460\u4efb\u4e00\u975e\u53f6\u5b50\u7ed3\u70b9\u82e5\u6709\u5de6\u5b69\u5b50\uff0c\u5219\u8be5\u7ed3\u70b9\u7684\u5173\u952e\u5b57\u503c\u5927\u4e8e\u5176\u5de6\u5b69\u5b50\u7ed3\u70b9\u7684\u5173\u952e\u5b57\u503c\uff1b<\/p>\n\n\n\n<p>\u2461\u4efb\u4e00\u975e\u53f6\u5b50\u7ed3\u70b9\u82e5\u6709\u53f3\u5b69\u5b50\uff0c\u5219\u8be5\u7ed3\u70b9\u7684\u5173\u952e\u5b57\u503c\u5c0f\u4e8e\u5176\u53f3\u5b69\u5b50\u7ed3\u70b9\u7684\u5173\u952e\u5b57\u503c\u3002<\/p>\n\n\n\n<p>\u7b80\u5355\u6982\u62ec\uff1a<\/p>\n\n\n\n<p><strong>\u8fd9\u662f\u4e00\u9897\u4e8c\u53c9\u6811\uff0c\u5728\u6811\u4e2d\u6709\u89c4\u5f8b\uff1a\u5de6\u5b50\u8282\u70b9\u6570\u503c &lt; \u672c\u8282\u70b9\u6570\u503c &lt; \u53f3\u5b50\u8282\u70b9\u6570\u503c<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"828\" height=\"508\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/image-3.png\" alt=\"\" class=\"wp-image-254\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-3.png 828w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-3-300x184.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-3-768x471.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-3-769x472.png 769w\" sizes=\"(max-width: 828px) 100vw, 828px\" \/><figcaption>\u56fe4\u3001\u4e8c\u53c9\u6392\u5e8f\u6811<\/figcaption><\/figure><\/div>\n\n\n\n<p> \u4e8c\u53c9\u6392\u5e8f\u6811\u589e\u6dfb\u5143\u7d20\uff1a<\/p>\n\n\n\n<p>\u4f8b\u5982\uff0c\u4ece\u7a7a\u6811\u51fa\u53d1\uff0c\u7ecf\u8fc7\u4e00\u7cfb\u5217\u7684\u67e5\u627e\u63d2\u5165\u64cd\u4f5c\u4e4b\u540e\uff0c\u53ef\u751f\u6210\u4e00\u68f5\u4e8c\u53c9\u6811\u3002\u8bbe\u67e5\u627e\u7684\u5173\u952e\u5b57\u5e8f\u5217\u4e3a{38, 24, 17, 40, 45}\uff0c\u5219\u751f\u6210\u7684\u4e8c\u53c9\u6392\u5e8f\u6811\u5982\u56fe\u6240\u793a\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"329\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/image-4-1024x329.png\" alt=\"\" class=\"wp-image-255\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-4-1024x329.png 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-4-300x96.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-4-768x247.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-4-769x247.png 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-4.png 1288w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption> \u56fe5\u3001\u4e8c\u53c9\u6392\u5e8f\u6811\u589e\u6dfb\u5143\u7d20<\/figcaption><\/figure><\/div>\n\n\n\n<p> \u4e8c\u53c9\u6392\u5e8f\u6811\u5220\u9664\u5143\u7d20\uff1a <\/p>\n\n\n\n<p>\u7b97\u6cd5\u601d\u60f3\u662f<strong>\u5728\u4e8c\u53c9\u6392\u5e8f\u6811\u4e2d\u5220\u9664\u4efb\u610f\u4e00\u4e2a\u7ed3\u70b9\u65f6\uff0c\u90fd\u5fc5\u987b\u4fdd\u8bc1\u5220\u9664\u540e\u7684\u4e8c\u53c9\u6811\u4ecd\u7136\u662f\u4e8c\u53c9\u6392\u5e8f\u6811\u3002<\/strong>\u5728\u4e0b\u5217\u8ba8\u8bba\u8fc7\u7a0b\u4e2d\uff0c\u5047\u8bbe\u88ab\u5220\u7ed3\u70b9\u4e3ap\uff0c\u5176\u53cc\u4eb2\u7ed3\u70b9\u4e3af\uff0c\u5220\u9664\u8fc7\u7a0b\u5982\u4e0b\u3002<\/p>\n\n\n\n<p>\u2460\u5982\u679cp\u4e3a\u53f6\u5b50\u7ed3\u70b9\uff0c\u5219\u76f4\u63a5\u5220\u9664\u8be5\u7ed3\u70b9\uff1b\u5982\u679cp\u4e3a\u6839\u7ed3\u70b9\uff0c\u5219\u5220\u9664\u540e\u4e8c\u53c9\u6392\u5e8f\u6811\u53d8\u4e3a\u7a7a\u6811\u3002<\/p>\n\n\n\n<p>\u2461\u5982\u679cp\u53ea\u6709\u5de6\u5b50\u6811\u6216\u53ea\u6709\u53f3\u5b50\u6811\uff0c\u53ef\u76f4\u63a5\u5c06f\u4e2d\u6307\u5411p\u7684\u6307\u9488\u6539\u4e3a\u6307\u5411p\u7684\u5de6\u5b50\u6811\u6216\u53f3\u5b50\u6811\uff1b\u5982\u679cp\u662ff\u7684\u5de6\u5b69\u5b50\uff0c\u5219p\u7684\u5de6\u5b50\u6811\u6216\u53f3\u5b50\u6811\u53d8\u4e3af\u7684\u5de6\u5b69\u5b50\uff0c\u5426\u5219p\u7684\u5de6\u5b50\u6811\u6216\u53f3\u5b50\u6811\u53d8\u4e3af\u7684\u53f3\u5b69\u5b50\u3002<\/p>\n\n\n\n<p>\u2462\u5982\u679cp\u65e2\u6709\u5de6\u5b50\u6811\u53c8\u6709\u53f3\u5b50\u6811\uff0c\u6839\u636e\u4e8c\u53c9\u6392\u5e8f\u6811\u7684\u7279\u70b9\uff0c\u53ef\u7528p\u7684\u4e2d\u5e8f\u4e0b\u7684\u524d\u9a71\u7ed3\u70b9\u7684\u503c\uff08\u6216\u5176\u4e2d\u5e8f\u4e0b\u7684\u540e\u7ee7\u7ed3\u70b9\u7684\u503c\uff09\u4ee3\u66ffp\u7684\u503c\uff0c\u540c\u65f6\u5220\u9664\u5176\u4e2d\u5e8f\u4e0b\u7684\u524d\u9a71\u7ed3\u70b9\uff08\u6216\u5176\u4e2d\u5e8f\u4e0b\u7684\u540e\u7ee7\u7ed3\u70b9\uff09\uff0c\u82e5p\u7684\u4e2d\u5e8f\u524d\u9a71\u65e0\u53f3\u5b50\u6811\u6216p\u7684\u4e2d\u5e8f\u540e\u7ee7\u65e0\u5de6\u5b50\u6811\uff0c\u5219\u8f6c\u4e3a\u2461\u3002<\/p>\n\n\n\n<p>\u53e6\u5916\uff0c\u8fd8\u53ef\u76f4\u63a5\u5c06p\u7684\u53f3\u5b50\u6811\u4ee3\u66ffp\uff0c\u540c\u65f6\u5c06p\u7684\u5de6\u5b50\u6811\u53d8\u4e3ap\u53f3\u5b50\u6811\u4e2d\u5e8f\u7b2c\u4e00\u4e2a\u7ed3\u70b9\u7684\u5de6\u5b69\u5b50\uff0c\u4e5f\u53ef\u76f4\u63a5\u5c06p\u7684\u5de6\u5b50\u6811\u4ee3\u66ffp\uff0c\u540c\u65f6\u5c06p\u7684\u53f3\u5b50\u6811\u53d8\u4e3ap\u5de6\u5b50\u6811\u4e2d\u5e8f\u6700\u540e\u4e00\u4e2a\u7ed3\u70b9\u7684\u53f3\u5b69\u5b50\u3002\u5220\u9664\u8fc7\u7a0b\u5982\u4e0b\u56fe\u6240\u793a\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"798\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/image-5-1024x798.png\" alt=\"\" class=\"wp-image-256\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-5-1024x798.png 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-5-300x234.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-5-768x598.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-5-769x599.png 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-5.png 1158w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption>\u56fe6\u3001 \u4e8c\u53c9\u6392\u5e8f\u6811\u5220\u9664\u5143\u7d20 <\/figcaption><\/figure><\/div>\n\n\n\n<p>C++\u793a\u4f8b\uff1a<\/p>\n\n\n\n<p>struct\u7ed3\u6784\u4f53\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>struct BSTnode\n{\n    int value;\n    BSTnode* leftnode = nullptr, * rightnode = nullptr;\n};<\/code><\/pre>\n\n\n\n<p>\u51fd\u6570\u4f53\uff1a<\/p>\n\n\n\n<p>\u5c06\u5143\u7d20\u63d2\u5165\u5230\u7ed3\u70b9\u4e2d<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>BSTnode* InsertElemnt(BSTnode* insertednode, int key)\n{\n    if (insertednode == nullptr)\n    {\n        insertednode = new BSTnode;\n        insertednode-&gt;value = key;\n    }\n    else\n    {\n        if (key &lt; insertednode-&gt;value)\n        {\n            if (insertednode-&gt;leftnode)\n            {\n                InsertElemnt(insertednode-&gt;leftnode, key);\n            }\n            else\n            {\n                insertednode-&gt;leftnode = new BSTnode;\n                insertednode-&gt;leftnode-&gt;value = key;\n            }\n            \n        }\n        else\n        {\n            if (insertednode-&gt;rightnode)\n            {\n                InsertElemnt(insertednode-&gt;rightnode, key);\n            }\n            else\n            {\n                insertednode-&gt;rightnode = new BSTnode;\n                insertednode-&gt;rightnode-&gt;value = key;\n            }\n        }\n    }\n    return insertednode;\n}<\/code><\/pre>\n\n\n\n<p>\u6784\u9020BST<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>BSTnode* BuildBST(int* orilist, int length)\n{\n    if (length == 0)\n    {\n        return nullptr;\n    }\n    else if (length == 1)\n    {\n        BSTnode* ans = new BSTnode;\n        ans-&gt;value = orilist&#91;0];\n        return ans;\n    }\n    else\n    {\n        BSTnode* head = new BSTnode;\n        head-&gt;value = orilist&#91;0];\n        for (int i = 1; i &lt; length; ++i)\n        {\n            head = InsertElemnt(head, orilist&#91;i]);\n        }\n        return head;\n    }\n}<\/code><\/pre>\n\n\n\n<p>BST\u641c\u7d22<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>bool BSTSearch(BSTnode* head, int key)\n{\n    BSTnode* p = head;\n    while (p-&gt;value != key)\n    {\n        if (p-&gt;leftnode || p-&gt;rightnode)\n        {\n            if (key &lt; p-&gt;value)\n            {\n                if (p-&gt;leftnode)\n                {\n                    p = p-&gt;leftnode;\n                }\n                else\n                {\n                    return false;\n                }\n            }\n            else\n            {\n                if (p-&gt;rightnode)\n                {\n                    p = p-&gt;rightnode;\n                }\n                else\n                {\n                    return false;\n                }\n            }\n        }\n        else\n        {\n            return false;\n        }\n    }\n    return true;\n}<\/code><\/pre>\n\n\n\n<p>\u6d4b\u8bd5<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int orilist&#91;] = { 12, 23, 34, 53, 32, 24, 14, 15, 66, 77, 88, 99 };\nBSTnode* BSThead = BuildBST(orilist, 12);\ncout &lt;&lt; \"BSTSearch: hava 14 is \" &lt;&lt; BSTSearch(BSThead, 14) &lt;&lt; endl;\ncout &lt;&lt; \"BSTSearch: hava 16 is \" &lt;&lt; BSTSearch(BSThead, 16) &lt;&lt; endl;<\/code><\/pre>\n\n\n\n<p class=\"has-medium-font-size\"><strong>3.2\u5e73\u8861\u4e8c\u53c9\u6811<\/strong><\/p>\n\n\n\n<p>\u5e73\u8861\u4e8c\u53c9\u6811\uff08balanced binary tree\uff0cBBT\uff09\u53c8\u79f0AVL\u6811\u3002\u5b83\u6216\u8005\u662f\u4e00\u68f5\u7a7a\u6811\uff0c\u6216\u8005\u5177\u6709\u4e0b\u5217\u6027\u8d28\uff1a\u5b83\u7684\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u90fd\u662f\u5e73\u8861\u4e8c\u53c9\u6811\uff0c\u4e14\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u7684\u6df1\u5ea6\u4e4b\u5dee\u7684\u7edd\u5bf9\u503c\u4e0d\u8d85\u8fc71\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"538\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/image-6-1024x538.png\" alt=\"\" class=\"wp-image-267\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-6-1024x538.png 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-6-300x157.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-6-768x403.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-6-769x404.png 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/image-6.png 1084w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption>\u56fe7\u3001\u5e73\u8861\u4e8c\u53c9\u6811<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u5224\u65ad\u5e73\u8861\u4e8c\u53c9\u6811\uff0cC++\u6e90\u7801<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>#include &lt;iostream&gt;\nusing namespace std;\n\ntemplate &lt;typename E&gt;\nclass TreeNode\n{\npublic:\n    E value; \/\/ store the value (name\u3001mark) of the node.\n    TreeNode* left = nullptr; \/\/ Left child node.\n    TreeNode* right = nullptr; \/\/ Right child node.\n    int height; \/\/ Node's height.\n\n    \/\/functions\n    TreeNode() {};\n    TreeNode(E _value) : value(_value) {};\n    TreeNode(TreeNode* _left, TreeNode* _right) : left(_left), right(_right) {};\n    TreeNode(E _value, TreeNode* _left, TreeNode* _right) : value(_value), left(_left), right(_right) {};\n\n};\n\ntemplate &lt;typename E&gt;\nbool isBalanced(TreeNode&lt;E&gt;* _root);\n\nint main()\n{\n    \/\/Test Data\n    \/\/TreeNode&lt;string&gt;* H = new TreeNode&lt;string&gt;(\"H\");\n    TreeNode&lt;string&gt;* G = new TreeNode&lt;string&gt;(\"G\");\n    TreeNode&lt;string&gt;* E = new TreeNode&lt;string&gt;(\"E\", G, nullptr);\n    TreeNode&lt;string&gt;* F = new TreeNode&lt;string&gt;(\"F\");\n    TreeNode&lt;string&gt;* D = new TreeNode&lt;string&gt;(\"D\");\n    TreeNode&lt;string&gt;* B = new TreeNode&lt;string&gt;(\"B\", D, E);\n    TreeNode&lt;string&gt;* C = new TreeNode&lt;string&gt;(\"C\", F, nullptr);\n    TreeNode&lt;string&gt;* A = new TreeNode&lt;string&gt;(\"A\", B, C);\n\n    bool ans = isBalanced&lt;string&gt;(A);\n    if (ans)\n    {\n        cout &lt;&lt; \"YES\" &lt;&lt; endl;\n    }\n    else\n    {\n        cout &lt;&lt; \"NO\" &lt;&lt; endl;\n    }\n\n    return 0;\n}\ntemplate &lt;typename E&gt;\nbool isBalanced(TreeNode&lt;E&gt;* _root)\n{\n    if (!_root-&gt;left &amp;&amp; !_root-&gt;right)\n    {\n        _root-&gt;height = 1;\n        return true;\n    }\n    else\n    {\n        int leftheight = 0, rightheight = 0;\n        bool leftBalanced = true, rightBalanced = true;\n        if (_root-&gt;left)\n        {\n            leftBalanced = isBalanced(_root-&gt;left);\n            leftheight = _root-&gt;left-&gt;height;\n        }\n        if (_root-&gt;right)\n        {\n            rightBalanced = isBalanced(_root-&gt;right);\n            rightheight = _root-&gt;right-&gt;height;\n        }\n\n        _root-&gt;height = leftheight &gt; rightheight ? leftheight + 1 : rightheight + 1;\n        if (!leftBalanced || !rightBalanced)\n        {\n            return false;\n        }\n        else\n        {\n            if (abs(leftheight - rightheight) &gt; 1)\n            {\n                return false;\n            }\n            else\n            {\n                return true;\n            }\n        }\n    }\n}<\/code><\/pre>\n\n\n\n<p class=\"has-medium-font-size\"><strong>3.3 2-3\u6811<\/strong><\/p>\n\n\n\n<p>2-3\u6811\u662f\u6700\u7b80\u5355\u7684B-\u6811(\u6216-\u6811)\u7ed3\u6784\uff0c\u5176\u6bcf\u4e2a\u975e\u53f6\u8282\u70b9\u90fd\u6709\u4e24\u4e2a\u6216\u4e09\u4e2a\u5b50\u5973\uff0c\u800c\u4e14\u6240\u6709\u53f6\u90fd\u5728\u540c\u4e00\u5c42\u4e0a\u30022-3\u6811\u4e0d\u662f\u4e8c\u53c9\u6811\uff0c\u5176\u8282\u70b9\u53ef\u62e5\u67093\u4e2a\u5b69\u5b50\u3002<\/p>\n\n\n\n<p><strong>2-3\u6811\u7684\u7ed3\u70b9\u63d2\u5165\u4e0e\u5220\u9664\uff1a<\/strong>(\u6b64\u5904\u8f6c\u8f7d\u81ea: <a href=\"https:\/\/www.cnblogs.com\/straightup\/p\/13907140.html\" target=\"_blank\" rel=\"noopener\">2-3\u6811\u7684\u63d2\u5165\u548c\u5220\u9664\u539f\u7406 &#8211; straightup &#8211; \u535a\u5ba2\u56ed (cnblogs.com)<\/a> \uff0c\u5bf9\u539f\u6587<strong>\u6709\u90e8\u5206\u9519\u8bef\u7ea0\u6b63<\/strong>\u3001\u90e8\u5206\u5197\u4f59\u5185\u5bb9\u5220\u9664\u3001\u90e8\u5206\u5185\u5bb9\u7ec6\u5316)<\/p>\n\n\n\n<p><strong>\u63d2\u5165\uff1a<\/strong><\/p>\n\n\n\n<p>\u539f\u6709\u4e002-3\u6811\u5982\u4e0b\uff1a<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"704\" height=\"373\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/2075421-20201031184731585-542250324.png\" alt=\"\" class=\"wp-image-275\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184731585-542250324.png 704w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184731585-542250324-300x159.png 300w\" sizes=\"(max-width: 704px) 100vw, 704px\" \/><\/figure><\/div>\n\n\n\n<p><strong>\u60c5\u51b5\u4e00 \u7a7a\u6811<\/strong><\/p>\n\n\n\n<p>\u521b\u5efa\u4e00\u4e2a\u4e8c\u8282\u70b9\u4f5c\u4e3a\u6839\u8282\u70b9\u5373\u53ef\u3002<\/p>\n\n\n\n<p><strong>\u60c5\u51b5\u4e8c \u4e8c\u8282\u70b9\u7684\u53f6\u5b50\u8282\u70b9<\/strong><\/p>\n\n\n\n<p>\u63d2\u51653: \u76f4\u63a5\u63d2\u5165,\u5c06\u8be5\u4e8c\u8282\u70b9\u53d8\u4e3a\u4e09\u8282\u70b9\u5373\u53ef<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"710\" height=\"305\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/2075421-20201031184758277-2032056780.png\" alt=\"\" class=\"wp-image-276\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184758277-2032056780.png 710w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184758277-2032056780-300x129.png 300w\" sizes=\"(max-width: 710px) 100vw, 710px\" \/><\/figure><\/div>\n\n\n\n<p><strong>\u60c5\u51b5\u4e09 \u4e09\u8282\u70b9\u7684\u53f6\u5b50\u8282\u70b9 ( \u7236\u8282\u70b9\u4e3a\u4e8c\u8282\u70b9 )<\/strong><\/p>\n\n\n\n<p>\u63d2\u51655: <\/p>\n\n\n\n<p>1.\u6839\u636e\u5de6\u5c0f\u53f3\u5927,5\u5e94\u8be5\u63d2\u52306\u7684\u5de6\u8fb9,\u4f46\u662f6\u6240\u5728\u7684\u8282\u70b9\u5df2\u7ecf\u662f\u4e09\u8282\u70b9,\u4e14\u7531\u4e8e\u53f6\u5b50\u8282\u70b9\u5fc5\u987b\u8981\u5728\u540c\u4e00\u5c42\u6b21(\u4e0d\u80fd\u5355\u72ec\u5f80\u4e0b\u5ef6\u4f38) <\/p>\n\n\n\n<p>2.\u4e0d\u80fd\u591f\u5f80\u4e0b\u8d70,\u90a3\u5c31\u53ea\u80fd\u5f80\u4e0a\u8d70,\u4e14\u7236\u8282\u70b9\u662f\u4e8c\u8282\u70b9\u53ef\u6269\u5c55\u4e3a\u4e09\u8282\u70b9 3.\u5c06\u6269\u5c55\u8282\u70b9\u7684\u53f3\u8282\u70b9\u7684\u6700\u5de6\u5143\u7d206\u4e0a\u79fb,\u8c03\u6574\u53f6\u5b50\u8282\u70b9(\u7ed3\u679c\u5982\u56fe)<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"712\" height=\"307\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/2075421-20201031184809280-1070600513.png\" alt=\"\" class=\"wp-image-277\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184809280-1070600513.png 712w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184809280-1070600513-300x129.png 300w\" sizes=\"(max-width: 712px) 100vw, 712px\" \/><\/figure><\/div>\n\n\n\n<p><strong>\u60c5\u51b5\u56db \u4e09\u8282\u70b9\u7684\u53f6\u5b50\u8282\u70b9 ( \u7236\u8282\u70b9\u4e3a\u4e09\u8282\u70b9 )<\/strong><\/p>\n\n\n\n<p>\u63d2\u516511: <\/p>\n\n\n\n<p>1.\u6839\u636e\u6570\u503c\u5e94\u8be5\u63d2\u5165\u523010\u7684\u53f3\u8fb9,\u4f4610\u6240\u5728\u7684\u8282\u70b9\u5df2\u7ecf\u4e3a\u4e09\u8282\u70b9\u4e86,\u540c\u65f6\u5176\u7236\u8282\u70b9\u4e5f\u4e3a\u4e09\u8282\u70b9 <\/p>\n\n\n\n<p>2.\u7ee7\u7eed\u5f80\u4e0a\u627e,\u7236\u8282\u70b9\u7684\u7236\u8282\u70b9\u4e3a\u4e8c\u8282\u70b9\u53ef\u6269\u5c55 3.\u5c06\u6269\u5c55\u7684\u8282\u70b9\u7684\u53f3\u8282\u70b9\u7684\u6700\u5de6\u5143\u7d2012\u4e0a\u79fb 4.9,10,11\u6309\u7167\u4e2d\u5e8f\u904d\u5386\u7684\u65b9\u5f0f\u8c03\u6574<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"608\" height=\"1024\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/BE315F19403D45285D2CE7CBB0B92E5D-608x1024.jpg\" alt=\"\" class=\"wp-image-296\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/BE315F19403D45285D2CE7CBB0B92E5D-608x1024.jpg 608w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/BE315F19403D45285D2CE7CBB0B92E5D-178x300.jpg 178w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/BE315F19403D45285D2CE7CBB0B92E5D-768x1293.jpg 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/BE315F19403D45285D2CE7CBB0B92E5D-912x1536.jpg 912w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/BE315F19403D45285D2CE7CBB0B92E5D-1216x2048.jpg 1216w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/BE315F19403D45285D2CE7CBB0B92E5D-769x1295.jpg 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/BE315F19403D45285D2CE7CBB0B92E5D.jpg 1260w\" sizes=\"(max-width: 608px) 100vw, 608px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"798\" height=\"304\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/2075421-20201031184831646-980183598.png\" alt=\"\" class=\"wp-image-278\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184831646-980183598.png 798w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184831646-980183598-300x114.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184831646-980183598-768x293.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184831646-980183598-769x293.png 769w\" sizes=\"(max-width: 798px) 100vw, 798px\" \/><\/figure><\/div>\n\n\n\n<p><strong>\u60c5\u51b5\u4e94 \u4e09\u8282\u70b9\u7684\u53f6\u5b50\u8282\u70b9 ( \u7236\u8282\u70b9\u53ca\u5176\u4ee5\u4e0a\u5747\u4e3a\u4e09\u8282\u70b9 )<\/strong><\/p>\n\n\n\n<p>\u63d2\u51652: <\/p>\n\n\n\n<p>1.\u6309\u7167\u6570\u503c\u5927\u5c0f,\u5e94\u8be5\u63d2\u5165\u52301\u7684\u53f3\u8fb9,\u4f461\u6240\u5728\u8282\u70b9\u53ca\u5176\u4e0a\u9762\u7684\u6240\u6709\u8282\u70b9\u90fd\u662f\u4e09\u8282\u70b9\u4e86,\u6324\u4e0d\u4e0b\u4e86,\u8fd9\u65f6\u5019\u5c31\u8981\u589e\u52a0\u9ad8\u5ea6\u4e86 <\/p>\n\n\n\n<p>2.\u4ece\u4e0b\u5f80\u4e0a\u62c6,\u6700\u540e\u5168\u90e8\u8282\u70b9\u90fd\u53d8\u4e3a\u4e8c\u8282\u70b9<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"818\" height=\"321\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/2075421-20201031184843262-1187506541.png\" alt=\"\" class=\"wp-image-279\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184843262-1187506541.png 818w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184843262-1187506541-300x118.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184843262-1187506541-768x301.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184843262-1187506541-769x302.png 769w\" sizes=\"(max-width: 818px) 100vw, 818px\" \/><\/figure><\/div>\n\n\n\n<p><strong>\u5220\u9664\uff1a<\/strong><\/p>\n\n\n\n<p><strong>\u60c5\u51b5\u4e00 \u5220\u9664\u5143\u7d20\u6240\u5728\u8282\u70b9\u662f\u4e09\u8282\u70b9<\/strong><\/p>\n\n\n\n<p>\u76f4\u63a5\u5220\u9664,\u5c06\u4e09\u8282\u70b9\u53d8\u4e3a\u4e8c\u8282\u70b9\u5373\u53ef<\/p>\n\n\n\n<p><strong>\u60c5\u51b5\u4e8c \u5220\u9664\u5143\u7d20\u4f4d\u4e8e\u4e8c\u8282\u70b9 ( \u7236\u8282\u70b9\u4e3a\u4e8c\u8282\u70b9 , \u53f3\u5b69\u5b50\u4e3a\u4e09\u8282\u70b9)<\/strong><\/p>\n\n\n\n<p>\u5220\u96641: <\/p>\n\n\n\n<p>1.\u5220\u63891 <\/p>\n\n\n\n<p>2.\u5de6\u65cb\u8f6c,\u5c064\u653e\u52301\u6240\u5728\u7684\u4f4d\u7f6e,6\u653e\u52304\u6240\u5728\u7684\u4f4d\u7f6e<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"709\" height=\"306\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/2075421-20201031184857310-33377335.png\" alt=\"\" class=\"wp-image-280\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184857310-33377335.png 709w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184857310-33377335-300x129.png 300w\" sizes=\"(max-width: 709px) 100vw, 709px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"708\" height=\"300\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/2075421-20201031184906212-356122670.png\" alt=\"\" class=\"wp-image-281\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184906212-356122670.png 708w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184906212-356122670-300x127.png 300w\" sizes=\"(max-width: 708px) 100vw, 708px\" \/><\/figure><\/div>\n\n\n\n<p><strong>\u60c5\u51b5\u4e09 \u5220\u9664\u5143\u7d20\u4f4d\u4e8e\u4e8c\u8282\u70b9 ( \u7236\u8282\u70b9\u4e3a\u4e8c\u8282\u70b9 , \u53f3\u5b69\u5b50\u4e5f\u4e3a\u4e8c\u8282\u70b9)<\/strong><\/p>\n\n\n\n<p>\u5220\u96644: <\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color\"><strong>(\u8981\u4fdd\u6301\u53f6\u5b50\u5728\u540c\u4e00\u5c42)<\/strong><\/p>\n\n\n\n<p>1.\u9996\u5148\u8981\u77e5\u9053\u4e00\u70b9:\u56fe\u4e2d7\u662f\u6839\u8282\u70b9\u7684\u76f4\u63a5\u524d\u7ee7,\u6839\u8282\u70b9\u7684\u76f4\u63a5\u540e\u7ee7\u5219\u662f9 <\/p>\n\n\n\n<p>2.\u5c06\u540e\u7ee79\u62ff\u8fc7\u6765\u5e2e\u5fd9,\u653e\u52308\u7684\u4f4d\u7f6e,8\u5219\u53bb\u5de6\u8fb9\u5e2e\u5fd9,\u653e\u52307\u7684\u4f4d\u7f6e(\u672c\u8d28\u4e5f\u662f\u5de6\u65cb) <\/p>\n\n\n\n<p>3.6,7\u4e5f\u5de6\u65cb\u8c03\u6574<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"703\" height=\"300\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/2075421-20201031184916779-44397081.png\" alt=\"\" class=\"wp-image-283\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184916779-44397081.png 703w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184916779-44397081-300x128.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184916779-44397081-700x300.png 700w\" sizes=\"(max-width: 703px) 100vw, 703px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"662\" height=\"304\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/2075421-20201031184928090-1481925043.png\" alt=\"\" class=\"wp-image-284\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184928090-1481925043.png 662w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184928090-1481925043-300x138.png 300w\" sizes=\"(max-width: 662px) 100vw, 662px\" \/><\/figure><\/div>\n\n\n\n<p><strong>\u60c5\u51b5\u56db \u5220\u9664\u5143\u7d20\u4f4d\u4e8e\u4e8c\u8282\u70b9 ( \u7236\u8282\u70b9\u4e3a\u4e09\u8282\u70b9 )<\/strong><\/p>\n\n\n\n<p>\u5220\u966410: <\/p>\n\n\n\n<p>1.\u5c06\u7236\u8282\u70b9\u7531\u4e09\u8282\u70b9\u53d8\u4e3a\u4e8c\u8282\u70b9 <\/p>\n\n\n\n<p>2.\u6269\u5c55\u539f\u5148\u7236\u8282\u70b9\u7684\u4e2d\u95f4\u8282\u70b9<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"707\" height=\"295\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/2075421-20201031184942405-456395404.png\" alt=\"\" class=\"wp-image-287\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184942405-456395404.png 707w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184942405-456395404-300x125.png 300w\" sizes=\"(max-width: 707px) 100vw, 707px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"704\" height=\"291\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/12\/2075421-20201031184953867-1841900748.png\" alt=\"\" class=\"wp-image-288\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184953867-1841900748.png 704w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/12\/2075421-20201031184953867-1841900748-300x124.png 300w\" sizes=\"(max-width: 704px) 100vw, 704px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-medium-font-size\"><strong>3.4 B-\u6811\uff08B\u6811\uff09<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>\u90e8\u5206\u53c2\u8003\u3001\u622a\u53d6\u81ea \uff1a<\/p>\n\n\n\n<p><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/146252512\" target=\"_blank\" rel=\"noopener\">\u56fe\u89e3\uff1a\u4ec0\u4e48\u662fB\u6811\uff1f\uff08\u5fc3\u4e2d\u6709 B \u6811\uff0c\u505a\u4eba\u8981\u865a\u5fc3\uff09\u4e00\u6587\u8bfb\u61c2B-\u6811 &#8211; \u77e5\u4e4e (zhihu.com)<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.cnblogs.com\/lianzhilei\/p\/11250589.html\" target=\"_blank\" rel=\"noopener\">B\u6811\u3001B+\u6811\u8be6\u89e3 &#8211; Assassin\u306e &#8211; \u535a\u5ba2\u56ed (cnblogs.com)<\/a><\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>\u5b9a\u4e49\u6761\u4ef6\uff1a<\/p>\n\n\n\n<p>\u2460 \u6811\u4e2d\u6bcf\u4e2a\u7ed3\u70b9<strong>\u81f3\u591a\u6709m \u68f5\u5b50\u6811<\/strong>\uff1b<\/p>\n\n\n\n<p>\u2461 \u82e5\u6839\u7ed3\u70b9\u4e0d\u662f\u53f6\u5b50\u7ed3\u70b9\uff0c\u5219\u81f3\u5c11\u6709\u4e24\u68f5\u5b50\u6811\uff1b<\/p>\n\n\n\n<p>\u2462 \u9664\u6839\u4e4b\u5916\u7684\u6240\u6709\u975e\u53f6\u5b50\u7ed3\u70b9<strong>\u81f3\u5c11\u6709[<em>m<\/em>\/2]\u68f5\u5b50\u6811<\/strong>\uff1b(\u201c[]\u201d\u4e8e\u6b64\u4ee3\u8868\u5411\u4e0a\u53d6\u5740)<\/p>\n\n\n\n<p>\u2463 \u6240\u6709\u7684\u975e\u53f6\u5b50\u7ed3\u70b9\u4e2d\u5305\u542b\u4e0b\u5217\u4fe1\u606f\u6570\u636e\uff1a(<em>P<\/em><sub>0<\/sub>, <em>K<\/em><sub>1<\/sub>, <em>P<\/em><sub>1<\/sub>, <em>K<\/em><sub>2<\/sub>, <em>P<\/em><sub>2<\/sub>, \u2026, <em>K<sub>n<\/sub><\/em>, <em>P<sub>n<\/sub><\/em>)<strong>\uff0c<\/strong>\u5176\u4e2d\uff0c<em>K<sub>i<\/sub><\/em>\uff081\u2264<em>i<\/em>\u2264<em>n<\/em>\uff09\u4e3a\u5173\u952e\u5b57\uff0c\u4e14<em>K<sub>i<\/sub><\/em>\uff1c<em>K<sub>i<\/sub><\/em><sub>+1<\/sub>\uff0c<em>P<sub>i<\/sub><\/em>\uff081\u2264<em>i<\/em>\u2264<em>n<\/em>\uff09\u4e3a\u6307\u5411\u5b50\u6811\u6839\u7ed3\u70b9\u7684\u6307\u9488\uff0c\u4e14\u6307\u9488<em>P<sub>i<\/sub><\/em><sub>\u20131<\/sub>\u6240\u6307\u5b50\u6811\u4e2d\u6240\u6709\u7ed3\u70b9\u7684\u5173\u952e\u5b57\u5747\u5c0f\u4e8e<em>K<sub>i <\/sub><\/em>(<em>i<\/em>=1, 2, \u2026, <em>n<\/em>)\uff0c<em>P<sub>n<\/sub><\/em>\u6240\u6307\u5b50\u6811\u4e2d\u6240\u6709\u7ed3\u70b9\u7684\u5173\u952e\u5b57\u5747\u5927\u4e8e<em>K<sub>n<\/sub><\/em>\uff0c<strong><em>n<\/em>\uff08[<em>m<\/em>\/2]-1\u2264<em>n<\/em>\u2264<em>m<\/em>-1\uff09\u4e3a\u5173\u952e\u5b57\u7684\u4e2a\u6570<\/strong>\uff1b (\u201c[]\u201d\u4e8e\u6b64\u4ee3\u8868\u5411\u4e0a\u53d6\u5740)<\/p>\n\n\n\n<p><strong>\u7ed3\u70b9\u6570\u5c31\u662f\u5b50\u6811\u6570\u76ee\u8303\u56f4-1 <\/strong><\/p>\n\n\n\n<p>\u2464 <strong>\u6240\u6709\u53f6\u5b50\u7ed3\u70b9\u90fd\u51fa\u73b0\u5728\u540c\u4e00\u5c42\u6b21\u4e0a<\/strong>\uff0c\u4e14\u4e0d\u5305\u542b\u4efb\u4f55\u4fe1\u606f\uff08\u5b9e\u9645\u4e0a\u8fd9\u4e9b\u7ed3\u70b9\u4e0d\u5b58\u5728\uff0c\u6307\u5411\u8fd9\u4e9b\u7ed3\u70b9\u7684\u6307\u9488\u4e3a\u7a7a\uff09\u3002<\/p>\n\n\n\n<p>\u4e0b\u9762\u662f\u4e00\u4e2am\u53d64\u7684B-\u6811<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"407\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-1-1024x407.png\" alt=\"\" class=\"wp-image-306\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-1-1024x407.png 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-1-300x119.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-1-768x305.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-1-1536x610.png 1536w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-1-2048x814.png 2048w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-1-769x306.png 769w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><strong>B-\u6811\u4e2d\u5e8f\u904d\u5386<\/strong><\/p>\n\n\n\n<p>B-\u6811\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"902\" height=\"503\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-2.png\" alt=\"\" class=\"wp-image-307\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-2.png 902w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-2-300x167.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-2-768x428.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-2-769x429.png 769w\" sizes=\"(max-width: 902px) 100vw, 902px\" \/><\/figure>\n\n\n\n<p>\u4e2d\u5e8f\u904d\u5386\u7ed3\u679c\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"81\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-3-1024x81.png\" alt=\"\" class=\"wp-image-308\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-3-1024x81.png 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-3-300x24.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-3-768x61.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-3-1536x122.png 1536w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-3-2048x162.png 2048w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-3-769x61.png 769w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><strong>\u63d2\u5165\u5143\u7d20\uff1a<\/strong><\/p>\n\n\n\n<p>\u4f8b\u5b501\uff1a<\/p>\n\n\n\n<p>\u539fB-\u6811\uff1a<\/p>\n\n\n\n<p>m\u53d64\uff0c\u5b50\u6811\u6570\u76ee\u53d6[2,4]\uff0c\u7ed3\u70b9\u5143\u7d20\u6570\u76ee\u53d6[1,3]\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"407\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-1-1024x407.jpeg\" alt=\"\" class=\"wp-image-311\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-1-1024x407.jpeg 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-1-300x119.jpeg 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-1-768x305.jpeg 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-1-769x305.jpeg 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-1.jpeg 1438w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u63d2\u5165\u5173\u952e\u5b57 I \uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"885\" height=\"1024\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/B4C2CD36745420D763F22B8F37A7D7D2-885x1024.jpg\" alt=\"\" class=\"wp-image-314\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/B4C2CD36745420D763F22B8F37A7D7D2-885x1024.jpg 885w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/B4C2CD36745420D763F22B8F37A7D7D2-259x300.jpg 259w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/B4C2CD36745420D763F22B8F37A7D7D2-768x889.jpg 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/B4C2CD36745420D763F22B8F37A7D7D2-1327x1536.jpg 1327w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/B4C2CD36745420D763F22B8F37A7D7D2-769x890.jpg 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/B4C2CD36745420D763F22B8F37A7D7D2.jpg 1600w\" sizes=\"(max-width: 885px) 100vw, 885px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"400\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/71B19948D9C46C02DC2E1DDB18342F79-1024x400.jpg\" alt=\"\" class=\"wp-image-315\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/71B19948D9C46C02DC2E1DDB18342F79-1024x400.jpg 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/71B19948D9C46C02DC2E1DDB18342F79-300x117.jpg 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/71B19948D9C46C02DC2E1DDB18342F79-768x300.jpg 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/71B19948D9C46C02DC2E1DDB18342F79-1536x600.jpg 1536w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/71B19948D9C46C02DC2E1DDB18342F79-769x300.jpg 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/71B19948D9C46C02DC2E1DDB18342F79.jpg 1600w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u4f8b\u5b502\uff1a<\/p>\n\n\n\n<p>\u4e00\u68f5m=5\u7684B-\u6811\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"758\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-4-1024x758.png\" alt=\"\" class=\"wp-image-316\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-4-1024x758.png 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-4-300x222.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-4-768x568.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-4-769x569.png 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-4.png 1196w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><strong>\u5220\u9664<\/strong><\/p>\n\n\n\n<p>\u9996\u5148\u67e5\u627eB\u6811\u4e2d\u9700\u5220\u9664\u7684\u5143\u7d20,\u5982\u679c\u8be5\u5143\u7d20\u5728B\u6811\u4e2d\u5b58\u5728\uff0c\u5219\u5c06\u8be5\u5143\u7d20\u5728\u5176\u7ed3\u70b9\u4e2d\u8fdb\u884c\u5220\u9664\uff1b\u5220\u9664\u8be5\u5143\u7d20\u540e\uff0c\u9996\u5148\u5224\u65ad\u8be5\u5143\u7d20\u662f\u5426\u6709\u5de6\u53f3\u5b69\u5b50\u7ed3\u70b9\uff0c\u5982\u679c\u6709\uff0c\u5219\u4e0a\u79fb\u5b69\u5b50\u7ed3\u70b9\u4e2d\u7684\u67d0\u76f8\u8fd1\u5143\u7d20(\u201c\u5de6\u5b69\u5b50\u6700\u53f3\u8fb9\u7684\u8282\u70b9\u201d\u6216\u201c\u53f3\u5b69\u5b50\u6700\u5de6\u8fb9\u7684\u8282\u70b9\u201d)\u5230\u7236\u8282\u70b9\u4e2d\uff0c\u7136\u540e\u662f\u79fb\u52a8\u4e4b\u540e\u7684\u60c5\u51b5\uff1b\u5982\u679c\u6ca1\u6709\uff0c\u76f4\u63a5\u5220\u9664\u3002<\/p>\n\n\n\n<ul><li>\u67d0\u7ed3\u70b9\u4e2d\u5143\u7d20\u6570\u76ee\u5c0f\u4e8e\uff08m\/2\uff09-1,(m\/2)\u5411\u4e0a\u53d6\u6574\uff0c\u5219\u9700\u8981\u770b\u5176\u67d0\u76f8\u90bb\u5144\u5f1f\u7ed3\u70b9\u662f\u5426\u4e30\u6ee1\uff1b<\/li><li>\u5982\u679c\u4e30\u6ee1\uff08\u7ed3\u70b9\u4e2d\u5143\u7d20\u4e2a\u6570\u5927\u4e8e(m\/2)-1\uff09\uff0c\u5219\u5411\u7236\u8282\u70b9\u501f\u4e00\u4e2a\u5143\u7d20\u6765\u6ee1\u8db3\u6761\u4ef6\uff1b<\/li><li>\u5982\u679c\u5176\u76f8\u90bb\u5144\u5f1f\u90fd\u4e0d\u4e30\u6ee1\uff0c\u5373\u5176\u7ed3\u70b9\u6570\u76ee\u7b49\u4e8e(m\/2)-1\uff0c\u5219\u8be5\u7ed3\u70b9\u4e0e\u5176\u76f8\u90bb\u7684\u67d0\u4e00\u5144\u5f1f\u7ed3\u70b9\u8fdb\u884c\u201c\u5408\u5e76\u201d\u6210\u4e00\u4e2a\u7ed3\u70b9\uff1b<\/li><\/ul>\n\n\n\n<p>\u63a5\u4e0b\u6765\u8fd8\u4ee55\u9636B\u6811\u4e3a\u4f8b\uff0c\u8be6\u7ec6\u8bb2\u89e3\u5220\u9664\u7684\u52a8\u4f5c\uff1b<\/p>\n\n\n\n<ul><li>\u5173\u952e\u8981\u9886\uff0c\u5143\u7d20\u4e2a\u6570\u5c0f\u4e8e 2\uff08m\/2 -1\uff09\u5c31\u5408\u5e76\uff0c\u5927\u4e8e4\uff08m-1\uff09\u5c31\u5206\u88c2<\/li><\/ul>\n\n\n\n<p>\u5982\u56fe\u4f9d\u6b21\u5220\u9664\u4f9d\u6b21\u5220\u9664\u30108\u3011,\u301020\u3011,\u301018\u3011,\u30105\u3011<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"926\" height=\"315\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-10.png\" alt=\"\" class=\"wp-image-322\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-10.png 926w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-10-300x102.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-10-768x261.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-10-769x262.png 769w\" sizes=\"(max-width: 926px) 100vw, 926px\" 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https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-9-300x108.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-9-768x277.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-9-769x277.png 769w\" sizes=\"(max-width: 1022px) 100vw, 1022px\" \/><\/figure>\n\n\n\n<p>&nbsp;\u4e0b\u4e00\u6b65\uff0c\u5220\u9664\u301020\u3011,\u56e0\u4e3a\u301020\u3011\u6ca1\u6709\u5728\u53f6\u5b50\u7ed3\u70b9\u4e2d\uff0c\u800c\u662f\u5728\u4e2d\u95f4\u7ed3\u70b9\u4e2d\u627e\u5230\uff0c\u54b1\u4eec\u53d1\u73b0\u4ed6\u7684\u7ee7\u627f\u8005\u301023\u3011(\u5b57\u6bcd\u5347\u5e8f\u7684\u4e0b\u4e2a\u5143\u7d20)\uff0c\u5c06\u301023\u3011\u4e0a\u79fb\u5230\u301020\u3011\u7684\u4f4d\u7f6e\uff0c\u7136\u540e\u5c06\u5b69\u5b50\u7ed3\u70b9\u4e2d\u7684\u301023\u3011\u8fdb\u884c\u5220\u9664\uff0c\u8fd9\u91cc\u6070\u597d\u5220\u9664\u540e\uff0c\u8be5\u5b69\u5b50\u7ed3\u70b9\u4e2d\u5143\u7d20\u4e2a\u6570\u5927\u4e8e2\uff0c\u65e0\u9700\u8fdb\u884c\u5408\u5e76\u64cd\u4f5c\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"991\" height=\"342\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-6.png\" alt=\"\" class=\"wp-image-318\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-6.png 991w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-6-300x104.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-6-768x265.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-6-769x265.png 769w\" sizes=\"(max-width: 991px) 100vw, 991px\" \/><\/figure>\n\n\n\n<p>\u4e0b\u4e00\u6b65\u5220\u9664\u301018\u3011\uff0c\u301018\u3011\u5728\u53f6\u5b50\u7ed3\u70b9\u4e2d,\u4f46\u662f\u8be5\u7ed3\u70b9\u4e2d\u5143\u7d20\u6570\u76ee\u4e3a2\uff0c\u5220\u9664\u5bfc\u81f4\u53ea\u67091\u4e2a\u5143\u7d20\uff0c\u5df2\u7ecf\u5c0f\u4e8e\u6700\u5c0f\u5143\u7d20\u6570\u76ee2,\u800c\u7531\u524d\u9762\u6211\u4eec\u5df2\u7ecf\u77e5\u9053\uff1a\u5982\u679c\u5176\u67d0\u4e2a\u76f8\u90bb\u5144\u5f1f\u7ed3\u70b9\u4e2d\u6bd4\u8f83\u4e30\u6ee1\uff08\u5143\u7d20\u4e2a\u6570\u5927\u4e8eceil(5\/2)-1=2\uff09\uff0c\u5219\u53ef\u4ee5\u5411\u7236\u7ed3\u70b9\u501f\u4e00\u4e2a\u5143\u7d20\uff0c\u7136\u540e\u5c06\u6700\u4e30\u6ee1\u7684\u76f8\u90bb\u5144\u5f1f\u7ed3\u70b9\u4e2d\u4e0a\u79fb\u6700\u540e\u6216\u6700\u524d\u4e00\u4e2a\u5143\u7d20\u5230\u7236\u8282\u70b9\u4e2d\uff0c\u5728\u8fd9\u4e2a\u5b9e\u4f8b\u4e2d\uff0c\u53f3\u76f8\u90bb\u5144\u5f1f\u7ed3\u70b9\u4e2d\u6bd4\u8f83\u4e30\u6ee1\uff083\u4e2a\u5143\u7d20\u5927\u4e8e2\uff09\uff0c\u6240\u4ee5\u5148\u5411\u7236\u8282\u70b9\u501f\u4e00\u4e2a\u5143\u7d20\u301023\u3011\u4e0b\u79fb\u5230\u8be5\u53f6\u5b50\u7ed3\u70b9\u4e2d\uff0c\u4ee3\u66ff\u539f\u6765\u301019\u3011\u7684\u4f4d\u7f6e\uff0c\u301019\u3011\u524d\u79fb\uff1b\u7136\u301024\u3011\u5728\u76f8\u90bb\u53f3\u5144\u5f1f\u7ed3\u70b9\u4e2d\u4e0a\u79fb\u5230\u7236\u7ed3\u70b9\u4e2d\uff0c\u6700\u540e\u5728\u76f8\u90bb\u53f3\u5144\u5f1f\u7ed3\u70b9\u4e2d\u5220\u9664\u301024\u3011\uff0c\u540e\u9762\u5143\u7d20\u524d\u79fb\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"962\" height=\"366\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-5.png\" alt=\"\" class=\"wp-image-317\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-5.png 962w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-5-300x114.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-5-768x292.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-5-769x293.png 769w\" sizes=\"(max-width: 962px) 100vw, 962px\" \/><\/figure>\n\n\n\n<p>\u6700\u540e\u4e00\u6b65\u5220\u9664\u30105\u3011\uff0c&nbsp;\u5220\u9664\u540e\u4f1a\u5bfc\u81f4\u5f88\u591a\u95ee\u9898\uff0c\u56e0\u4e3a\u30105\u3011\u6240\u5728\u7684\u7ed3\u70b9\u6570\u76ee\u521a\u597d\u8fbe\u6807\uff0c\u521a\u597d\u6ee1\u8db3\u6700\u5c0f\u5143\u7d20\u4e2a\u6570\uff08ceil(5\/2)-1=2\uff09,\u800c\u76f8\u90bb\u7684\u5144\u5f1f\u7ed3\u70b9\u4e5f\u662f\u540c\u6837\u7684\u60c5\u51b5\uff0c\u5220\u9664\u4e00\u4e2a\u5143\u7d20\u90fd\u4e0d\u80fd\u6ee1\u8db3\u6761\u4ef6\uff0c\u6240\u4ee5\u9700\u8981\u8be5\u8282\u70b9\u4e0e\u67d0\u76f8\u90bb\u5144\u5f1f\u7ed3\u70b9\u8fdb\u884c\u5408\u5e76\u64cd\u4f5c\uff1b\u9996\u5148\u79fb\u52a8\u7236\u7ed3\u70b9\u4e2d\u7684\u5143\u7d20\uff08\u8be5\u5143\u7d20\u5728\u4e24\u4e2a\u9700\u8981\u5408\u5e76\u7684\u4e24\u4e2a\u7ed3\u70b9\u5143\u7d20\u4e4b\u95f4\uff09\u4e0b\u79fb\u5230\u5176\u5b50\u7ed3\u70b9\u4e2d\uff0c\u7136\u540e\u5c06\u8fd9\u4e24\u4e2a\u7ed3\u70b9\u8fdb\u884c\u5408\u5e76\u6210\u4e00\u4e2a\u7ed3\u70b9\u3002\u6240\u4ee5\u5728\u8be5\u5b9e\u4f8b\u4e2d\uff0c\u54b1\u4eec\u9996\u5148\u5c06\u7236\u8282\u70b9\u4e2d\u7684\u5143\u7d20\u30104\u3011\u4e0b\u79fb\u5230\u5df2\u7ecf\u5220\u9664\u30105\u3011\u800c\u53ea\u6709\u30106\u3011\u7684\u7ed3\u70b9\u4e2d\uff0c\u7136\u540e\u5c06\u542b\u6709\u30104\u3011\u548c\u30106\u3011\u7684\u7ed3\u70b9\u548c\u542b\u6709\u30101\u3011,\u30103\u3011\u7684\u76f8\u90bb\u5144\u5f1f\u7ed3\u70b9\u8fdb\u884c\u5408\u5e76\u6210\u4e00\u4e2a\u7ed3\u70b9\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"890\" height=\"387\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-7.png\" alt=\"\" class=\"wp-image-319\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-7.png 890w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-7-300x130.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-7-768x334.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-7-769x334.png 769w\" sizes=\"(max-width: 890px) 100vw, 890px\" \/><\/figure>\n\n\n\n<p><strong>\u4e5f\u8bb8\u4f60\u8ba4\u4e3a\u8fd9\u6837\u5220\u9664\u64cd\u4f5c\u5df2\u7ecf\u7ed3\u675f\u4e86\uff0c\u5176\u5b9e\u4e0d\u7136\uff0c\u5728\u770b\u770b\u4e0a\u56fe\uff0c\u5bf9\u4e8e\u8fd9\u79cd\u7279\u6b8a\u60c5\u51b5\uff0c\u4f60\u7acb\u5373\u4f1a\u53d1\u73b0\u7236\u8282\u70b9\u53ea\u5305\u542b\u4e00\u4e2a\u5143\u7d20\u30107\u3011\uff0c\u6ca1\u8fbe\u6807\uff08\u56e0\u4e3a\u975e\u6839\u8282\u70b9\u5305\u62ec\u53f6\u5b50\u7ed3\u70b9\u7684\u5143\u7d20K\u5fc5\u987b\u6ee1\u8db3\u4e8e2=&lt;K&lt;=4\uff0c\u800c\u6b64\u5904\u7684K=1\uff09<\/strong>\uff0c\u8fd9\u662f\u4e0d\u80fd\u591f\u63a5\u53d7\u7684\u3002\u5982\u679c\u8fd9\u4e2a\u95ee\u9898\u7ed3\u70b9\u7684\u76f8\u90bb\u5144\u5f1f\u6bd4\u8f83\u4e30\u6ee1\uff0c\u5219\u53ef\u4ee5\u5411\u7236\u7ed3\u70b9\u501f\u4e00\u4e2a\u5143\u7d20\u3002\u800c\u6b64\u65f6\u5144\u5f1f\u8282\u70b9\u5143\u7d20\u521a\u597d\u4e3a2\uff0c\u521a\u521a\u6ee1\u8db3\uff0c\u53ea\u80fd\u8fdb\u884c\u5408\u5e76\uff0c\u800c\u6839\u7ed3\u70b9\u4e2d\u7684\u552f\u4e00\u5143\u7d20\u301013\u3011\u4e0b\u79fb\u5230\u5b50\u7ed3\u70b9\uff0c\u8fd9\u6837\uff0c\u6811\u7684\u9ad8\u5ea6\u51cf\u5c11\u4e00\u5c42\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"881\" height=\"371\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-8.png\" alt=\"\" class=\"wp-image-320\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-8.png 881w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-8-300x126.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-8-768x323.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-8-769x324.png 769w\" sizes=\"(max-width: 881px) 100vw, 881px\" \/><\/figure>\n\n\n\n<p class=\"has-medium-font-size\"><strong>3.4 B+\u6811<\/strong><\/p>\n\n\n\n<p><strong>B+\u6811\u548cB-\u6811\u7684\u4e3b\u8981\u533a\u522b\u5982\u4e0b\uff1a<\/strong><\/p>\n\n\n\n<p>B-\u6811\u5185\u90e8\u8282\u70b9\u662f\u4fdd\u5b58\u6570\u636e\u7684;\u800c<strong>B+\u6811\u5185\u90e8\u8282\u70b9\u662f\u4e0d\u4fdd\u5b58\u6570\u636e\u7684\uff0c\u53ea\u4f5c\u7d22\u5f15\u4f5c\u7528\uff0c\u5b83\u7684\u53f6\u5b50\u8282\u70b9\u624d\u4fdd\u5b58\u6570\u636e\u3002<\/strong><\/p>\n\n\n\n<p>B+\u6811<strong>\u76f8\u90bb\u7684\u53f6\u5b50\u8282\u70b9\u4e4b\u95f4\u662f\u901a\u8fc7\u94fe\u8868\u6307\u9488\u8fde\u8d77\u6765<\/strong>\u7684\uff0cB-\u6811\u5374\u4e0d\u662f\u3002<\/p>\n\n\n\n<p>\u67e5\u627e\u8fc7\u7a0b\u4e2d\uff0cB-\u6811\u5728\u627e\u5230\u5177\u4f53\u7684\u6570\u503c\u4ee5\u540e\u5c31\u7ed3\u675f\uff0c\u800cB+\u6811\u5219\u9700\u8981<strong>\u901a\u8fc7\u7d22\u5f15\u627e\u5230\u53f6\u5b50\u7ed3\u70b9\u4e2d\u7684\u6570\u636e\u624d\u7ed3\u675f<\/strong><\/p>\n\n\n\n<p>B-\u6811\u4e2d\u4efb\u4f55\u4e00\u4e2a\u5173\u952e\u5b57\u51fa\u73b0\u4e14\u53ea\u51fa\u73b0\u5728\u4e00\u4e2a\u7ed3\u70b9\u4e2d\uff0c\u800c<strong>B+\u6811\u53ef\u4ee5\u51fa\u73b0\u591a\u6b21<\/strong>\u3002<\/p>\n\n\n\n<p>\u6709m\u4e2a\u5b50\u6811\u7684\u4e2d\u95f4\u8282\u70b9\u5305\u542b\u6709m\u4e2a\u5143\u7d20\uff08B\u6811\u4e2d\u662fk-1\u4e2a\u5143\u7d20\uff09\u3002<\/p>\n\n\n\n<p><strong>B+\u6811\u957f\u5f97\u50cf\u4e0b\u9762\u8fd9\u6837\uff1a<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"429\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-11-1024x429.png\" alt=\"\" class=\"wp-image-323\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-11-1024x429.png 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-11-300x126.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-11-768x322.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-11-769x322.png 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-11.png 1058w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><strong>B<sup>+<\/sup>\u6811\u7684\u67e5\u627e\uff1a<\/strong><\/p>\n\n\n\n<p><strong>\u5bf9B<sup>+<\/sup>\u6811\u53ef\u8fdb\u884c\u4e24\u79cd\u67e5\u627e\u8fd0\u7b97\uff1a\u4e00\u79cd\u662f\u5229\u7528head\u6307\u9488\u4ece\u6700\u5c0f\u5173\u952e\u5b57\u5f00\u59cb\u987a\u5e8f\u67e5\u627e\uff0c\u53e6\u4e00\u79cd\u662f\u5229\u7528root\u6307\u9488\u4ece\u6839\u7ed3\u70b9\u5f00\u59cb\u8fdb\u884c\u968f\u673a\u67e5\u627e<\/strong>\u3002\u5728\u67e5\u627e\u8fc7\u7a0b\u4e2d\uff0c\u82e5\u975e\u53f6\u5b50\u7ed3\u70b9\u4e0a\u7684\u5173\u952e\u5b57\u7b49\u4e8e\u7ed9\u5b9a\u503c\uff0c\u6b64\u65f6\u5e76\u4e0d\u7ed3\u675f\u67e5\u627e\uff0c\u800c\u662f\u7ee7\u7eed\u5411\u4e0b\u76f4\u5230\u53f6\u5b50\u7ed3\u70b9\uff0c\u5176\u4f59\u7684\u64cd\u4f5c\u540cB\u2013\u6811\u7684\u67e5\u627e\u7c7b\u4f3c\u3002<\/p>\n\n\n\n<p>\u4e0b\u9762\u4f8b\u5b50\u6765\u81ea<a href=\"https:\/\/zhuanlan.zhihu.com\/p\/351240279\" target=\"_blank\" rel=\"noopener\">MySQL\u7d22\u5f15\u5e95\u5c42\uff1aB+\u6811\u8be6\u89e3 &#8211; \u77e5\u4e4e (zhihu.com)<\/a>\uff0c\u8fd9\u79cdB+\u6811\u5f62\u5f0f\u4e0e\u6211\u4eec\u521a\u521a\u6240\u8bb2\u6709\u70b9\u4e0d\u540c\uff0c\u4f9b\u53c2\u8003\u3002<\/p>\n\n\n\n<p>\u5047\u8bbe\u6211\u4eec\u8981\u67e5\u7684\u503c\u4e3a32.<\/p>\n\n\n\n<p>\u7b2c\u4e00\u6b21\u78c1\u76d8 I\/O\uff0c\u67e5\u627e\u78c1\u76d8\u57571\uff0c\u5373\u6839\u8282\u70b9(36,43),\u56e0\u4e3a32\u5c0f\u4e8e36\uff0c\u56e0\u6b64\u8bbf\u95ee\u6839\u8282\u70b9\u7684\u5de6\u8fb9\u7b2c\u4e00\u4e2a\u5b69\u5b50\u8282\u70b9<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"600\" height=\"222\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-6.jpeg\" alt=\"\" class=\"wp-image-326\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-6.jpeg 600w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-6-300x111.jpeg 300w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<p>\u7b2c\u4e8c\u6b21\u78c1\u76d8 I\/O, \u67e5\u627e\u78c1\u76d8\u57572\uff0c\u5373\u6839\u8282\u70b9\u7684\u7b2c\u4e00\u4e2a\u5b69\u5b50\u8282\u70b9\uff0c\u83b7\u5f97\u533a\u95f4(28,32),\u904d\u5386\u5373\u53ef\u5f9732.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"600\" height=\"226\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-5.jpeg\" alt=\"\" class=\"wp-image-325\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-5.jpeg 600w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-5-300x113.jpeg 300w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<p>B+ \u6811\u8303\u56f4\u67e5\u8be2<\/p>\n\n\n\n<p>\u5047\u8bbe\u6211\u4eec\u8981\u67e5\u627e\u533a\u95f4 [32,40]\u533a\u95f4\u7684\u503c.<\/p>\n\n\n\n<p>\u7b2c\u4e00\u6b65\u5148\u8bbf\u95ee\u6839\u8282\u70b9\uff0c\u53d1\u73b0\u533a\u95f4\u7684\u5de6\u7aef\u70b932\u5c0f\u4e8e36,\u5219\u8bbf\u95ee\u6839\u8282\u70b9\u7684\u7b2c\u4e00\u4e2a\u5de6\u5b50\u6811(28,32);<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"600\" height=\"222\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-7.jpeg\" alt=\"\" class=\"wp-image-327\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-7.jpeg 600w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-7-300x111.jpeg 300w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<p>\u7b2c\u4e8c\u6b65\u8bbf\u95ee\u8282\u70b9(28,32)\uff0c\u627e\u523032\uff0c\u4e8e\u662f\u5f00\u59cb\u904d\u5386\u94fe\u8868\uff0c\u628a[32,40]\u533a\u95f4\u503c\u627e\u51fa\u6765\uff0c\u8fd9\u4e5f\u662fB+\u6811\u6bd4B-\u6811\u9ad8\u6548\u7684\u5730\u65b9\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"600\" height=\"214\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-8.jpeg\" alt=\"\" class=\"wp-image-328\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-8.jpeg 600w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-8-300x107.jpeg 300w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/figure>\n\n\n\n<p><strong>B<sup>+<\/sup>\u6811\u7684\u63d2\u5165\uff1a<\/strong><\/p>\n\n\n\n<p>B<sup>+<\/sup>\u6811\u7684\u5220\u9664\u4e5f\u4ec5\u5728\u53f6\u5b50\u7ed3\u70b9\u4e2d\u8fdb\u884c\uff0c<strong>\u5f53\u53f6\u5b50\u7ed3\u70b9\u4e2d\u7684\u6700\u5927\u5173\u952e\u5b57\u88ab\u5220\u9664\u65f6<\/strong>\uff0c\u5176\u5728\u975e\u53f6\u5b50\u7ed3\u70b9\u4e2d\u7684\u503c\u53ef\u4f5c\u4e3a\u4e00\u4e2a\u201c\u5206\u754c\u5173\u952e\u5b57\u201d\u5b58\u5728\uff0c\u82e5\u56e0\u5220\u9664\u800c\u4f7f\u7ed3\u70b9\u4e2d\u5173\u952e\u5b57\u7684\u4e2a\u6570\u5c0f\u4e8e[<em>m<\/em>\/2](\u5411\u4e0a\u53d6\u6574)\uff0c\u5219\u9700\u8981\u548c\u5144\u5f1f\u7ed3\u70b9\u8fdb\u884c\u5408\u5e76\uff0c\u5408\u5e76\u7684\u8fc7\u7a0b\u4e0eB\u2013\u6811\u7c7b\u4f3c\u3002<\/p>\n\n\n\n<ul><li>1.B+\u6811\u63d2\u5165\u90fd\u662f\u5728\u53f6\u5b50\u7ed3\u70b9\u8fdb\u884c\u7684\uff0c\u5c31\u662f\u63d2\u5165\u524d\uff0c\u9700\u8981\u5148\u627e\u5230\u8981\u63d2\u5165\u7684\u53f6\u5b50\u7ed3\u70b9\u3002<\/li><li>2.\u5982\u679c\u88ab\u63d2\u5165\u5173\u952e\u5b57\u7684\u53f6\u5b50\u8282\u70b9\uff0c\u5f53\u524d\u542b\u6709\u7684\u5173\u952e\u5b57\u6570\u91cf\u662f\u5c0f\u4e8e\u9636\u6570m\uff0c\u5219\u76f4\u63a5\u63d2\u5165\u3002<\/li><li>3.\u5982\u679c\u63d2\u5165\u5173\u952e\u5b57\u540e\uff0c\u53f6\u5b50\u8282\u70b9\u5f53\u524d\u542b\u6709\u7684\u5173\u952e\u5b57\u6570\u76ee\u7b49\u4e8e\u9636\u6570m\uff0c\u5219\u63d2\uff0c\u8be5\u8282\u70b9\u5f00\u59cb\u300c\u5206\u88c2\u300d\u4e3a\u4e24\u4e2a\u65b0\u7684\u8282\u70b9\uff0c\u4e00\u4e2a\u8282\u70b9\u5305\u542b\u230am\/2\u230b \u4e2a\u5173\u952e\u5b57\uff0c\u53e6\u5916\u4e00\u4e2a\u5173\u952e\u5b57\u5305\u542b\u2308m\/2\u2309\u4e2a\u5173\u952e\u503c\u3002(\u230am\/2\u230b\u8868\u793a\u5411\u4e0b\u53d6\u6574\uff0c\u2308m\/2\u2309\u8868\u793a\u5411\u4e0a\u53d6\u6574\uff0c\u5982\u23083\/2\u2309=2)\u3002<\/li><li>4.\u5206\u88c2\u540e\uff0c\u9700\u8981\u5c06\u7b2c\u2308m\/2\u2309\u7684\u5173\u952e\u5b57\u4e0a\u79fb\u5230\u7236\u7ed3\u70b9\u3002\u5982\u679c\u8fd9\u65f6\u5019\u7236\u7ed3\u70b9\u4e2d\u5305\u542b\u7684\u5173\u952e\u5b57\u4e2a\u6570\u5c0f\u4e8em\uff0c\u5219\u63d2\u5165\u64cd\u4f5c\u5b8c\u6210\u3002<\/li><li>5.\u5206\u88c2\u540e\uff0c\u9700\u8981\u5c06\u2308m\/2\u2309\u7684\u5173\u952e\u5b57\u4e0a\u79fb\u5230\u7236\u7ed3\u70b9\u3002\u5982\u679c\u7236\u7ed3\u70b9\u4e2d\u5305\u542b\u7684\u5173\u952e\u5b57\u4e2a\u6570\u7b49\u4e8em\uff0c\u5219\u7ee7\u7eed\u5206\u88c2\u7236\u7ed3\u70b9\u3002<\/li><\/ul>\n\n\n\n<p>\u4ee5\u4e00\u98974\u9636\u7684B+\u6811\u4e3a\u4f8b\u5b50\u5427\uff0c4\u9636\u7684\u8bdd\uff0c\u5173\u952e\u503c\u6700\u591a3(m-1)\u4e2a\u3002\u5047\u8bbe\u63d2\u5165\u4ee5\u4e0b\u6570\u636e43\uff0c48\uff0c36\uff0c32,37,49,28.<\/p>\n\n\n\n<p>1.\u5728<a href=\"https:\/\/www.zhihu.com\/search?q=%E7%A9%BA%E6%A0%91&amp;search_source=Entity&amp;hybrid_search_source=Entity&amp;hybrid_search_extra=%7B%22sourceType%22%3A%22article%22%2C%22sourceId%22%3A351240279%7D\" target=\"_blank\" rel=\"noopener\">\u7a7a\u6811<\/a>\u4e2d\u63d2\u516543<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"567\" height=\"233\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-15.jpeg\" alt=\"\" class=\"wp-image-335\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-15.jpeg 567w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-15-300x123.jpeg 300w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><\/figure>\n\n\n\n<p>\u8fd9\u65f6\u5019\u6839\u7ed3\u70b9\u5c31\u4e00\u4e2a\u5173\u952e\u503c\uff0c\u6b64\u65f6\u5b83\u662f\u6839\u7ed3\u70b9\u4e5f\u662f\u53f6\u5b50\u7ed3\u70b9\u3002<\/p>\n\n\n\n<p>2.\u4f9d\u6b21\u63d2\u516548\uff0c36<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"448\" height=\"174\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2022\/01\/image-14.jpeg\" alt=\"\" class=\"wp-image-334\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-14.jpeg 448w, https:\/\/scutvk.cn\/wp-content\/uploads\/2022\/01\/image-14-300x117.jpeg 300w\" sizes=\"(max-width: 448px) 100vw, 448px\" \/><\/figure>\n\n\n\n<p>\u8fd9\u65f6\u5019\u8ddf\u8282\u70b9\u62e5\u67093\u4e2a\u5173\u952e\u5b57\uff0c\u5df2\u7ecf\u6ee1\u4e86<\/p>\n\n\n\n<p>3.\u7ee7\u7eed\u63d2\u5165 32\uff0c\u53d1\u73b0\u5f53\u524d\u8282\u70b9\u5173\u952e\u5b57\u5df2\u7ecf\u4e0d\u5c0f\u4e8e\u9636\u65704\u4e86\uff0c\u4e8e\u662f\u5206\u88c2 \u7b2c\u23084\/2\u2309=2(\u4e0b\u68070,1,2)\u4e2a\uff0c\u4e5f\u537343\u4e0a\u79fb\u5230\u7236\u8282\u70b9\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"600\" height=\"300\" 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