锘??xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:trackback="http://madskills.com/public/xml/rss/module/trackback/" xmlns:wfw="http://wellformedweb.org/CommentAPI/" xmlns:slash="http://purl.org/rss/1.0/modules/slash/"><channel><title>&#20122;&#27954;&#86;&#65;&#20013;&#25991;&#23383;&#24149;&#26080;&#30721;&#27611;&#29255;&#44;&#20037;&#20037;&#29408;&#29408;&#29233;&#20122;&#27954;&#32508;&#21512;&#24433;&#38498;&#44;&#20037;&#20037;&#20122;&#27954;&#31934;&#21697;&#20013;&#25991;&#23383;&#24149;</title><link>http://www.tkk7.com/zzzlyr/category/55295.html</link><description /><language>zh-cn</language><lastBuildDate>Thu, 25 Jan 2018 06:05:24 GMT</lastBuildDate><pubDate>Thu, 25 Jan 2018 06:05:24 GMT</pubDate><ttl>60</ttl><item><title>btree/b+tree緇撴瀯鍘熺悊鍜屽簲鐢?/title><link>http://www.tkk7.com/zzzlyr/archive/2018/01/25/433028.html</link><dc:creator>寮犻拪閽?/dc:creator><author>寮犻拪閽?/author><pubDate>Thu, 25 Jan 2018 05:44:00 GMT</pubDate><guid>http://www.tkk7.com/zzzlyr/archive/2018/01/25/433028.html</guid><wfw:comment>http://www.tkk7.com/zzzlyr/comments/433028.html</wfw:comment><comments>http://www.tkk7.com/zzzlyr/archive/2018/01/25/433028.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://www.tkk7.com/zzzlyr/comments/commentRss/433028.html</wfw:commentRss><trackback:ping>http://www.tkk7.com/zzzlyr/services/trackbacks/433028.html</trackback:ping><description><![CDATA[鏈�榪戝湪鍏徃鏈夌偣鏃墮棿鎵�浠ユ繁鍏ョ爺絀朵簡涓嬫暟鎹簱绱㈠紩btree/b+tree鏁版嵁緇撴瀯鍜屽師鐞嗭紝鐢辨鐗靛紩鍑轟簡濂藉闂錛岃鐪嬪涓嬪甫鐫�闂鐮旂┒銆?br /><br />1錛氫負浠�涔?btree/b+tree 鏁版嵁緇撴瀯閫傚悎鏁版嵁搴撶儲寮曪紝瀹冨埌搴曟槸鎬庝箞鏍蜂竴涓師鐞嗗拰緇撴瀯錛?br /><br />btree/b+tree 鏁版嵁緇撴瀯錛?br /><br /><span style="color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;">鍦ㄤ箣鍓嶇殑鏂囩珷涓垜浠粙緇嶈繃AVL鏍戯紝綰㈤粦鏍戯紝瀹冧滑閮藉睘浜庝簩鍙夋爲錛屽嵆姣忎釜鑺傜偣鏈�澶氬彧鑳芥嫢鏈?涓瓙鑺傜偣錛岃�孊-tree錛圔鏍戯級鐨勬瘡涓妭鐐瑰彲浠ユ嫢鏈?涓互涓婄殑瀛愯妭鐐癸紝鎵�浠ユ垜浠畝鍗曟鎷竴涓嬶細B-tree灝辨槸涓�棰楀璺鉤琛℃煡鎵炬爲錛屽畠騫挎硾搴旂敤浜庢暟鎹簱绱㈠紩鍜屾枃浠剁郴緇熶腑銆?/span><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;">棣栧厛鎴戜滑浠嬬粛涓�涓嬩竴棰?m 闃禕-tree鐨勭壒鎬э紝閭ｄ箞榪欎釜 m 闃舵槸鎬庝箞瀹氫箟鐨勫憿錛熻繖閲屾垜浠互涓�涓妭鐐硅兘鎷ユ湁鐨勬渶澶у瓙鑺傜偣鏁版潵琛ㄧず榪欓鏍戠殑闃舵暟銆備婦涓緥瀛愶紝濡傛灉涓�涓妭鐐規渶澶氭湁 n 涓猭ey錛岄偅涔堣繖涓妭鐐規渶澶氬氨浼氭湁 n+1 涓瓙鑺傜偣錛岃繖媯墊爲灝卞彨鍋?n+1錛坢=n+1錛夐樁鏍戙�備竴棰?m 闃禕-tree鍖呮嫭浠ヤ笅5鏉＄壒鎬э細</p><ol style="box-sizing: inherit; margin: 20px 0px; padding: 0px 0px 0px 40px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;"><li style="box-sizing: inherit; list-style-type: decimal; margin-top: 10px; list-style-position: outside;">姣忎釜鑺傜偣鏈�澶氭湁 m 涓瓙鑺傜偣</li><li style="box-sizing: inherit; list-style-type: decimal; margin-top: 10px; list-style-position: outside;">闄ゆ牴鑺傜偣鍜屽彾瀛愯妭鐐癸紝鍏跺畠姣忎釜鑺傜偣鑷沖皯鏈?[m/2] 錛堝悜涓婂彇鏁寸殑鎰忔�濓級涓瓙鑺傜偣</li><li style="box-sizing: inherit; list-style-type: decimal; margin-top: 10px; list-style-position: outside;">鑻ユ牴鑺傜偣涓嶆槸鍙跺瓙鑺傜偣錛屽垯鍏惰嚦灝戞湁2涓瓙鑺傜偣</li><li style="box-sizing: inherit; list-style-type: decimal; margin-top: 10px; list-style-position: outside;">鎵�鏈塏ULL鑺傜偣鍒版牴鑺傜偣鐨勯珮搴﹂兘涓�鏍?/li><li style="box-sizing: inherit; list-style-type: decimal; margin-top: 10px; list-style-position: outside;">闄ゆ牴鑺傜偣澶栵紝鍏跺畠鑺傜偣閮藉寘鍚?n 涓猭ey錛屽叾涓?[m/2] -1 &lt;= n &lt;= m-1</li></ol><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;">榪欎簺鐗規�у彲鑳界湅鐫�涓嶅お濂界悊瑙ｏ紝涓嬮潰鎴戜滑浼氫粙緇岯-tree鐨勬彃鍏ワ紝鍦ㄦ彃鍏ヨ妭鐐圭殑榪囩▼涓垜浠氨浼氭參鎱㈢悊瑙ｈ繖浜涚壒鎬т簡銆侭-tree鐨勬彃鍏ユ瘮杈冪畝鍗曪紝灝辨槸涓�涓妭鐐硅嚦涓嬭�屼笂鐨勫垎瑁傝繃紼嬨�備笅闈㈡垜浠叿浣撲互涓�棰?闃舵爲鏉ュ睍紺築-tree鐨勬彃鍏ヨ繃紼嬨�?/p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;">棣栧厛鎴戜滑 鎻掑叆 200錛?00錛?00錛屾病鏈変粈涔堥棶棰橈紝鐩存帴鎻掑叆灝卞ソ銆?/p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;">| 200 | 300 | 400 |<br style="box-sizing: inherit;" /></p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;">鐜板湪鎴戜滑鎺ョ潃鎻掑叆500錛岃繖涓椂鍊欐垜浠彂鐜版湁鐐歸棶棰橈紝鏍規嵁瀹氫箟鍙婄壒鎬?鎴戜滑鐭ラ亾涓�棰?闃禕-tree鐨勬瘡涓妭鐐規渶澶氬彧鑳芥湁3涓猭ey錛屾彃鍏?00鍚庤繖涓妭鐐瑰氨鏈?涓猭ey浜嗐�?/p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;">| 200 | 300 | 400 | 500 |<br style="box-sizing: inherit;" /></p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;">榪欎釜鏃跺�欐垜浠氨闇�瑕佸垎瑁傦紝灝嗕腑闂寸殑key涓婄Щ鍒扮埗鑺傜偣錛屽乏杈圭殑浣滀負宸﹁妭鐐癸紝鍙寵竟鐨勪綔涓哄彸鑺傜偣錛屽涓嬪浘鎵�紺猴細</p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;"></p><figure style="box-sizing: inherit; margin: 24px 0px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;"><img src="https://pic4.zhimg.com/80/v2-d44a37240c1d4226d82480e87321e0a9_hd.jpg" data-rawwidth="428" data-rawheight="172" zh-lightbox-thumb=""  lazy"="" width="428" data-original="https://pic4.zhimg.com/v2-d44a37240c1d4226d82480e87321e0a9_r.jpg" data-actualsrc="https://pic4.zhimg.com/v2-d44a37240c1d4226d82480e87321e0a9_b.jpg" style="box-sizing: inherit; overflow: hidden; display: block; max-width: 100%; margin: 0px auto; cursor: -webkit-zoom-in;" alt="" /></figure><span style="color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;">榪欎釜鏃跺�欐垜浠槸涓嶆槸灝辨槑鐧界壒鎬?浜嗭紝濡傛灉鏍硅妭鐐逛笉鏄彾瀛愯妭鐐癸紝閭ｄ箞瀹冭偗瀹氬彂鐢熶簡鍒嗚錛屾墍浠ヨ嚦灝戜細鏈?涓瓙鑺傜偣銆傚悓鏍鋒垜浠帴鐫�鎻掑叆600錛?00錛?00錛?00鎻掑叆榪囩▼濡備笅鍥炬墍紺猴細</span><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;"></p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;"></p><figure style="box-sizing: inherit; margin: 24px 0px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;"><img src="https://pic2.zhimg.com/80/v2-4fc1d75f4904af871324b8dd2399e499_hd.jpg" data-rawwidth="834" data-rawheight="810" zh-lightbox-thumb=""  lazy"="" width="834" data-original="https://pic2.zhimg.com/v2-4fc1d75f4904af871324b8dd2399e499_r.jpg" data-actualsrc="https://pic2.zhimg.com/v2-4fc1d75f4904af871324b8dd2399e499_b.jpg" style="box-sizing: inherit; overflow: hidden; display: block; max-width: 100%; margin: 0px auto; cursor: -webkit-zoom-in;" alt="" /></figure><span style="color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;">鐜板湪鏍硅妭鐐逛篃宸茬粡婊′簡錛屽鏋滄垜浠戶緇彃鍏?10錛?20錛屼細鎬庢牱鍛紵鏍硅妭鐐瑰氨浼氱戶緇垎瑁傦紝鏍戠戶緇悜涓婄敓闀褲�傜湅涓嬪浘錛?/span><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;"></p><figure style="box-sizing: inherit; margin: 24px 0px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;"><img src="https://pic1.zhimg.com/80/v2-19c2afb9282e50971e44d6dca939f8f8_hd.jpg" data-rawwidth="736" data-rawheight="674" zh-lightbox-thumb=""  lazy"="" width="736" data-original="https://pic1.zhimg.com/v2-19c2afb9282e50971e44d6dca939f8f8_r.jpg" data-actualsrc="https://pic1.zhimg.com/v2-19c2afb9282e50971e44d6dca939f8f8_b.jpg" style="box-sizing: inherit; overflow: hidden; display: block; max-width: 100%; margin: 0px auto; cursor: -webkit-zoom-in;" alt="" /></figure><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;">閫氳繃鏁翠釜鐨勬彃鍏ヨ繃紼嬫垜浠篃浼氬彂鐜幫紝B-tree鍜屼簩鍙夋爲鐨勪竴涓樉钁楃殑鍖哄埆灝辨槸錛孊-tree鏄粠涓嬪線涓婄敓闀匡紝鑰屼簩鍙夋爲鏄粠涓婂線涓嬬敓闀跨殑銆傜幇鍦ㄦ垜浠兂鎯崇壒鎬?鍜岀壒鎬?鏄負浠�涔堬紵棣栧厛鎴戜滑鐭ラ亾瀛愯妭鐐圭殑涓暟鏄瓑浜巏ey鐨勬暟鐩?1錛岀劧鍚庝竴涓妭鐐硅揪鍒癿涓猭ey鍚庡氨浼氬垎瑁傦紝鎵�浠ュ垎瑁傚悗鐨勮妭鐐規渶灝戣兘寰楀埌 m/2 - 1涓猭ey 銆備負鍟ヨ繕瑕佸噺涓�鍛紵鍥犱負榪樿鎷夸竴涓綔涓虹埗鑺傜偣銆傛墍浠ヨ繖涓妭鐐規渶灝戝洖鎷ユ湁 m/2 - 1 + 1 = m/2 涓瓙鑺傜偣銆傚悓鏍峰緱鍒扮壒鎬?錛屽洜涓烘渶灝戞湁m/2涓瓙鑺傜偣錛屾墍浠ユ渶灝戝氨鍚湁m/2-1涓猭ey錛宮 闃舵爲錛屾瘡涓妭鐐瑰瓨鍒頒簡m涓猭ey灝變細鍒嗚錛屾墍浠ユ渶澶氬氨鏈?m-1涓猭ey銆?/p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;">鏍規嵁浠ヤ笂鐗規�ф垜浠兘鎺ㄥ嚭涓�媯靛惈鏈塏涓�誨叧閿瓧鏁扮殑m闃剁殑B-tree鏍戠殑鏈�澶ч珮搴鐨勫�?</p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;"><span style="box-sizing: inherit; font-weight: 600;">鏍戠殑楂樺害h: 1錛?2錛?3 錛?4 錛?......... 錛?h</span></p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;"><span style="box-sizing: inherit; font-weight: 600;">鑺傜偣涓暟s: 1錛?2錛?2*(m/2)錛?2*(m/2)(m/2)錛?........ 錛?*(m/2)鐨刪-2嬈℃柟</span></p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;"><span style="box-sizing: inherit; font-weight: 600;">s = 1 + 2(1 -&nbsp;<img src="http://www.zhihu.com/equation?tex=%28m%2F2%29%5E%7Bh-1%7D+" alt="(m/2)^{h-1} " eeimg="1" style="box-sizing: inherit; overflow: hidden; display: inline-block; max-width: 100%; margin: 0px 3px; vertical-align: middle;" />)/(1- (m/2))</span></p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;"><span style="box-sizing: inherit; font-weight: 600;">N = 1 + s * ((m/2) - 1) = 2 * (<img src="http://www.zhihu.com/equation?tex=%28m%2F2%29%5E%7Bh-1%7D+" alt="(m/2)^{h-1} " eeimg="1" style="box-sizing: inherit; overflow: hidden; display: inline-block; max-width: 100%; margin: 0px 3px; vertical-align: middle;" />) - 1</span></p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;"><span style="box-sizing: inherit; font-weight: 600;">h = log&#9484;m/2&#9488;((N+1)/2 )+1</span></p><p style="box-sizing: inherit; margin: 0px 0px 20px; color: #333333; font-family: -apple-system, BlinkMacSystemFont, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, &quot;Source Han Sans SC&quot;, &quot;Noto Sans CJK SC&quot;, &quot;WenQuanYi Micro Hei&quot;, sans-serif; font-size: medium;">2錛氫負浠�涔坆tree/b+tree 涓哄父鐢ㄦ暟鎹簱绱㈠紩緇撴瀯錛?br /></p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">涓婃枃璇磋繃錛岀孩榛戞爲絳夋暟鎹粨鏋勪篃鍙互鐢ㄦ潵瀹炵幇绱㈠紩錛屼絾鏄枃浠剁郴緇熷強鏁版嵁搴撶郴緇熸櫘閬嶉噰鐢˙-/+Tree浣滀負绱㈠紩緇撴瀯錛岃繖涓�鑺傚皢緇撳悎璁＄畻鏈虹粍鎴愬師鐞嗙浉鍏崇煡璇嗚璁築-/+Tree浣滀負绱㈠紩鐨勭悊璁哄熀紜�銆?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">涓�鑸潵璇達紝绱㈠紩鏈韓涔熷緢澶э紝涓嶅彲鑳藉叏閮ㄥ瓨鍌ㄥ湪鍐呭瓨涓紝鍥犳绱㈠紩寰�寰�浠ョ儲寮曟枃浠剁殑褰㈠紡瀛樺偍鐨勭鐩樹笂銆傝繖鏍風殑璇濓紝绱㈠紩鏌ユ壘榪囩▼涓氨瑕佷駭鐢熺鐩業/O娑堣�楋紝鐩稿浜庡唴瀛樺瓨鍙栵紝I/O瀛樺彇鐨勬秷鑰楄楂樺嚑涓暟閲忕駭錛屾墍浠ヨ瘎浠蜂竴涓暟鎹粨鏋勪綔涓虹儲寮曠殑浼樺姡鏈�閲嶈鐨勬寚鏍囧氨鏄湪鏌ユ壘榪囩▼涓鐩業/O鎿嶄綔嬈℃暟鐨勬笎榪涘鏉傚害銆傛崲鍙ヨ瘽璇達紝绱㈠紩鐨勭粨鏋勭粍緇囪灝介噺鍑忓皯鏌ユ壘榪囩▼涓鐩業/O鐨勫瓨鍙栨鏁般�備笅闈㈠厛浠嬬粛鍐呭瓨鍜岀鐩樺瓨鍙栧師鐞嗭紝鐒跺悗鍐嶇粨鍚堣繖浜涘師鐞嗗垎鏋怋-/+Tree浣滀負绱㈠紩鐨勬晥鐜囥�?/p><h3><a name="t8" style="box-sizing: border-box; background: transparent; color: rgb(66, 139, 202); margin: 0px; padding: 0px; outline: 0px;"></a>涓誨瓨瀛樺彇鍘熺悊</h3><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">鐩墠璁＄畻鏈轟嬌鐢ㄧ殑涓誨瓨鍩烘湰閮芥槸闅忔満璇誨啓瀛樺偍鍣紙RAM錛夛紝鐜頒唬RAM鐨勭粨鏋勫拰瀛樺彇鍘熺悊姣旇緝澶嶆潅錛岃繖閲屾湰鏂囨姏鍗村叿浣撳樊鍒紝鎶借薄鍑轟竴涓崄鍒嗙畝鍗曠殑瀛樺彇妯″瀷鏉ヨ鏄嶳AM鐨勫伐浣滃師鐞嗐�?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;"><a  target="_blank" style="box-sizing: border-box; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial; color: #ca0c16; text-decoration-line: none; margin: 0px; padding: 0px; outline: 0px;"></a></p><p align="center" style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;"><strong style="box-sizing: border-box;">鍥?</strong></p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">浠庢娊璞¤搴︾湅錛屼富瀛樻槸涓�緋誨垪鐨勫瓨鍌ㄥ崟鍏冪粍鎴愮殑鐭╅樀錛屾瘡涓瓨鍌ㄥ崟鍏冨瓨鍌ㄥ浐瀹氬ぇ灝忕殑鏁版嵁銆傛瘡涓瓨鍌ㄥ崟鍏冩湁鍞竴鐨勫湴鍧�錛岀幇浠ｄ富瀛樼殑緙栧潃瑙勫垯姣旇緝澶嶆潅錛岃繖閲屽皢鍏剁畝鍖栨垚涓�涓簩緇村湴鍧�錛氶�氳繃涓�涓鍦板潃鍜屼竴涓垪鍦板潃鍙互鍞竴瀹氫綅鍒頒竴涓瓨鍌ㄥ崟鍏冦�傚浘5灞曠ず浜嗕竴涓? x 4鐨勪富瀛樻ā鍨嬨�?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">涓誨瓨鐨勫瓨鍙栬繃紼嬪涓嬶細</p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">褰撶郴緇熼渶瑕佽鍙栦富瀛樻椂錛屽垯灝嗗湴鍧�淇″彿鏀懼埌鍦板潃鎬葷嚎涓婁紶緇欎富瀛橈紝涓誨瓨璇誨埌鍦板潃淇″彿鍚庯紝瑙ｆ瀽淇″彿騫跺畾浣嶅埌鎸囧畾瀛樺偍鍗曞厓錛岀劧鍚庡皢姝ゅ瓨鍌ㄥ崟鍏冩暟鎹斁鍒版暟鎹�葷嚎涓婏紝渚涘叾瀹冮儴浠惰鍙栥�?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">鍐欎富瀛樼殑榪囩▼綾諱技錛岀郴緇熷皢瑕佸啓鍏ュ崟鍏冨湴鍧�鍜屾暟鎹垎鍒斁鍦ㄥ湴鍧�鎬葷嚎鍜屾暟鎹�葷嚎涓婏紝涓誨瓨璇誨彇涓や釜鎬葷嚎鐨勫唴瀹癸紝鍋氱浉搴旂殑鍐欐搷浣溿�?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">榪欓噷鍙互鐪嬪嚭錛屼富瀛樺瓨鍙栫殑鏃墮棿浠呬笌瀛樺彇嬈℃暟鍛堢嚎鎬у叧緋伙紝鍥犱負涓嶅瓨鍦ㄦ満姊版搷浣滐紝涓ゆ瀛樺彇鐨勬暟鎹殑&#8220;璺濈&#8221;涓嶄細瀵規椂闂存湁浠諱綍褰卞搷錛屼緥濡傦紝鍏堝彇A0鍐嶅彇A1鍜屽厛鍙朅0鍐嶅彇D3鐨勬椂闂存秷鑰楁槸涓�鏍風殑銆?/p><h3><a name="t9" style="box-sizing: border-box; background: transparent; color: rgb(66, 139, 202); margin: 0px; padding: 0px; outline: 0px;"></a>紓佺洏瀛樺彇鍘熺悊</h3><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">涓婃枃璇磋繃錛岀儲寮曚竴鑸互鏂囦歡褰㈠紡瀛樺偍鍦ㄧ鐩樹笂錛岀儲寮曟绱㈤渶瑕佺鐩業/O鎿嶄綔銆備笌涓誨瓨涓嶅悓錛岀鐩業/O瀛樺湪鏈烘榪愬姩鑰楄垂錛屽洜姝ょ鐩業/O鐨勬椂闂存秷鑰楁槸宸ㄥぇ鐨勩�?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">鍥?鏄鐩樼殑鏁翠綋緇撴瀯紺烘剰鍥俱�?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;"></p><p align="center" style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;"><strong style="box-sizing: border-box;">鍥?</strong></p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">涓�涓鐩樼敱澶у皬鐩稿悓涓斿悓杞寸殑鍦嗗艦鐩樼墖緇勬垚錛岀鐩樺彲浠ヨ漿鍔紙鍚勪釜紓佺洏蹇呴』鍚屾杞姩錛夈�傚湪紓佺洏鐨勪竴渚ф湁紓佸ご鏀灦錛岀澶存敮鏋跺浐瀹氫簡涓�緇勭澶達紝姣忎釜紓佸ご璐熻矗瀛樺彇涓�涓鐩樼殑鍐呭銆傜澶翠笉鑳借漿鍔紝浣嗘槸鍙互娌跨鐩樺崐寰勬柟鍚戣繍鍔紙瀹為檯鏄枩鍒囧悜榪愬姩錛夛紝姣忎釜紓佸ご鍚屼竴鏃跺埢涔熷繀欏繪槸鍚岃醬鐨勶紝鍗充粠姝ｄ笂鏂瑰悜涓嬬湅錛屾墍鏈夌澶翠換浣曟椂鍊欓兘鏄噸鍙犵殑錛堜笉榪囩洰鍓嶅凡緇忔湁澶氱澶寸嫭绔嬫妧鏈紝鍙笉鍙楁闄愬埗錛夈�?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">鍥?鏄鐩樼粨鏋勭殑紺烘剰鍥俱�?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;"></p><p align="center" style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;"><strong style="box-sizing: border-box;">鍥?</strong></p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">鐩樼墖琚垝鍒嗘垚涓�緋誨垪鍚屽績鐜紝鍦嗗績鏄洏鐗囦腑蹇冿紝姣忎釜鍚屽績鐜彨鍋氫竴涓閬擄紝鎵�鏈夊崐寰勭浉鍚岀殑紓侀亾緇勬垚涓�涓煴闈€�傜閬撹娌垮崐寰勭嚎鍒掑垎鎴愪竴涓釜灝忕殑孌碉紝姣忎釜孌靛彨鍋氫竴涓墖鍖猴紝姣忎釜鎵囧尯鏄鐩樼殑鏈�灝忓瓨鍌ㄥ崟鍏冦�備負浜嗙畝鍗曡搗瑙侊紝鎴戜滑涓嬮潰鍋囪紓佺洏鍙湁涓�涓洏鐗囧拰涓�涓澶淬�?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">褰撻渶瑕佷粠紓佺洏璇誨彇鏁版嵁鏃訛紝緋葷粺浼氬皢鏁版嵁閫昏緫鍦板潃浼犵粰紓佺洏錛岀鐩樼殑鎺у埗鐢佃礬鎸夌収瀵誨潃閫昏緫灝嗛�昏緫鍦板潃緲昏瘧鎴愮墿鐞嗗湴鍧�錛屽嵆紜畾瑕佽鐨勬暟鎹湪鍝釜紓侀亾錛屽摢涓墖鍖恒�備負浜嗚鍙栬繖涓墖鍖虹殑鏁版嵁錛岄渶瑕佸皢紓佸ご鏀懼埌榪欎釜鎵囧尯涓婃柟錛屼負浜嗗疄鐜拌繖涓�鐐癸紝紓佸ご闇�瑕佺Щ鍔ㄥ鍑嗙浉搴旂閬擄紝榪欎釜榪囩▼鍙仛瀵婚亾錛屾墍鑰楄垂鏃墮棿鍙仛瀵婚亾鏃墮棿錛岀劧鍚庣鐩樻棆杞皢鐩爣鎵囧尯鏃嬭漿鍒扮澶翠笅錛岃繖涓繃紼嬭�楄垂鐨勬椂闂村彨鍋氭棆杞椂闂淬�?/p><h3><a name="t10" style="box-sizing: border-box; background: transparent; color: rgb(66, 139, 202); margin: 0px; padding: 0px; outline: 0px;"></a>灞�閮ㄦ�у師鐞嗕笌紓佺洏棰勮</h3><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">鐢變簬瀛樺偍浠嬭川鐨勭壒鎬э紝紓佺洏鏈韓瀛樺彇灝辨瘮涓誨瓨鎱㈠緢澶氾紝鍐嶅姞涓婃満姊拌繍鍔ㄨ�楄垂錛岀鐩樼殑瀛樺彇閫熷害寰�寰�鏄富瀛樼殑鍑犵櫨鍒嗗垎涔嬩竴錛屽洜姝や負浜嗘彁楂樻晥鐜囷紝瑕佸敖閲忓噺灝戠鐩業/O銆備負浜嗚揪鍒拌繖涓洰鐨勶紝紓佺洏寰�寰�涓嶆槸涓ユ牸鎸夐渶璇誨彇錛岃�屾槸姣忔閮戒細棰勮錛屽嵆浣垮彧闇�瑕佷竴涓瓧鑺傦紝紓佺洏涔熶細浠庤繖涓綅緗紑濮嬶紝欏哄簭鍚戝悗璇誨彇涓�瀹氶暱搴︾殑鏁版嵁鏀懼叆鍐呭瓨銆傝繖鏍峰仛鐨勭悊璁轟緷鎹槸璁＄畻鏈虹瀛︿腑钁楀悕鐨勫眬閮ㄦ�у師鐞嗭細</p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">褰撲竴涓暟鎹鐢ㄥ埌鏃訛紝鍏墮檮榪戠殑鏁版嵁涔熼�氬父浼氶┈涓婅浣跨敤銆?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">紼嬪簭榪愯鏈熼棿鎵�闇�瑕佺殑鏁版嵁閫氬父姣旇緝闆嗕腑銆?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">鐢變簬紓佺洏欏哄簭璇誨彇鐨勬晥鐜囧緢楂橈紙涓嶉渶瑕佸閬撴椂闂達紝鍙渶寰堝皯鐨勬棆杞椂闂達級錛屽洜姝ゅ浜庡叿鏈夊眬閮ㄦ�х殑紼嬪簭鏉ヨ錛岄璇誨彲浠ユ彁楂業/O鏁堢巼銆?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">棰勮鐨勯暱搴︿竴鑸負欏碉紙page錛夌殑鏁村�嶆暟銆傞〉鏄綆楁満綆＄悊瀛樺偍鍣ㄧ殑閫昏緫鍧楋紝紜歡鍙婃搷浣滅郴緇熷線寰�灝嗕富瀛樺拰紓佺洏瀛樺偍鍖哄垎鍓蹭負榪炵畫鐨勫ぇ灝忕浉絳夌殑鍧楋紝姣忎釜瀛樺偍鍧楃О涓轟竴欏碉紙鍦ㄨ澶氭搷浣滅郴緇熶腑錛岄〉寰楀ぇ灝忛�氬父涓?k錛夛紝涓誨瓨鍜岀鐩樹互欏典負鍗曚綅浜ゆ崲鏁版嵁銆傚綋紼嬪簭瑕佽鍙栫殑鏁版嵁涓嶅湪涓誨瓨涓椂錛屼細瑙﹀彂涓�涓己欏靛紓甯革紝姝ゆ椂緋葷粺浼氬悜紓佺洏鍙戝嚭璇葷洏淇″彿錛岀鐩樹細鎵懼埌鏁版嵁鐨勮搗濮嬩綅緗茍鍚戝悗榪炵畫璇誨彇涓�欏墊垨鍑犻〉杞藉叆鍐呭瓨涓紝鐒跺悗寮傚父榪斿洖錛岀▼搴忕戶緇繍琛屻�?/p><h3><a name="t11" style="box-sizing: border-box; background: transparent; color: rgb(66, 139, 202); margin: 0px; padding: 0px; outline: 0px;"></a>B-/+Tree绱㈠紩鐨勬�ц兘鍒嗘瀽</h3><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">鍒拌繖閲岀粓浜庡彲浠ュ垎鏋怋-/+Tree绱㈠紩鐨勬�ц兘浜嗐�?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">涓婃枃璇磋繃涓�鑸嬌鐢ㄧ鐩業/O嬈℃暟璇勪環绱㈠紩緇撴瀯鐨勪紭鍔ｃ�傚厛浠嶣-Tree鍒嗘瀽錛屾牴鎹瓸-Tree鐨勫畾涔夛紝鍙煡媯�绱竴嬈℃渶澶氶渶瑕佽闂甴涓妭鐐廣�傛暟鎹簱緋葷粺鐨勮璁¤�呭閥濡欏埄鐢ㄤ簡紓佺洏棰勮鍘熺悊錛屽皢涓�涓妭鐐圭殑澶у皬璁句負絳変簬涓�涓〉錛岃繖鏍鋒瘡涓妭鐐瑰彧闇�瑕佷竴嬈/O灝卞彲浠ュ畬鍏ㄨ澆鍏ャ�備負浜嗚揪鍒拌繖涓洰鐨勶紝鍦ㄥ疄闄呭疄鐜癇- Tree榪橀渶瑕佷嬌鐢ㄥ涓嬫妧宸э細</p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;">姣忔鏂板緩鑺傜偣鏃訛紝鐩存帴鐢寵涓�涓〉鐨勭┖闂達紝榪欐牱灝變繚璇佷竴涓妭鐐圭墿鐞嗕笂涔熷瓨鍌ㄥ湪涓�涓〉閲岋紝鍔犱箣璁＄畻鏈哄瓨鍌ㄥ垎閰嶉兘鏄寜欏靛榻愮殑錛屽氨瀹炵幇浜嗕竴涓猲ode鍙渶涓�嬈/O銆?/p><p style="box-sizing: border-box; margin: 0px; padding: 0px; color: #454545; font-family: &quot;PingFang SC&quot;, &quot;Microsoft YaHei&quot;, SimHei, Arial, SimSun; font-size: 16px;"><strong style="box-sizing: border-box;">B-Tree涓竴嬈℃绱㈡渶澶氶渶瑕乭-1嬈/O錛堟牴鑺傜偣甯擱┗鍐呭瓨錛夛紝娓愯繘澶嶆潅搴︿負O(h)=O(log<span style="box-sizing: border-box; position: relative; 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