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>&#x2A;&#x2A;&#x6027;&#x8272;&#x751F;&#x6D3B;&#x7247;&#x4E45;&#x4E45;&#x6BDB;&#x7247;&#x2C;&#x4E9A;&#x6D32;&#x89C6;&#x9891;&#x7F51;&#x7AD9;&#x5728;&#x7EBF;&#x89C2;&#x770B;&#x2C;&#x4E9A;&#x6D32;&#x56FD;&#x4EA7;&#x7CBE;&#x54C1;&#x77;&#x77;&#x77;</title><link>http://m.shnenglu.com/qinqing1984/category/21447.html</link><description /><language>zh-cn</language><lastBuildDate>Sun, 18 Feb 2024 15:56:55 GMT</lastBuildDate><pubDate>Sun, 18 Feb 2024 15:56:55 GMT</pubDate><ttl>60</ttl><item><title>鍏充簬錛堥浂鐭ヨ瘑錛夎綆楀鏉傛�х殑鎬葷粨</title><link>http://m.shnenglu.com/qinqing1984/archive/2024/02/09/230277.html</link><dc:creator>鏄ョ鍗佷簩鏈?/dc:creator><author>鏄ョ鍗佷簩鏈?/author><pubDate>Fri, 09 Feb 2024 14:19:00 GMT</pubDate><guid>http://m.shnenglu.com/qinqing1984/archive/2024/02/09/230277.html</guid><wfw:comment>http://m.shnenglu.com/qinqing1984/comments/230277.html</wfw:comment><comments>http://m.shnenglu.com/qinqing1984/archive/2024/02/09/230277.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://m.shnenglu.com/qinqing1984/comments/commentRss/230277.html</wfw:commentRss><trackback:ping>http://m.shnenglu.com/qinqing1984/services/trackbacks/230277.html</trackback:ping><description><![CDATA[<strong style="font-size: 12pt;">緇忓吀鐨勫鏉傛�у叧緋?/strong>&nbsp;<br />
&nbsp;P鏄欏瑰紡鏃墮棿紜畾鍨嬪浘鐏墊満鍙瘑鍒殑璇█綾伙紝NP鏄欏瑰紡鏃墮棿<span style="color: #ff0000;">闈炵‘瀹氬瀷</span>鍥劇伒鏈哄彲璇嗗埆鐨勮璦�綾伙紝NPC琛ㄧずNP瀹屽叏闂綾伙紝coNP琛ㄧずNP鐨勮ˉ錛宑oNPC琛ㄧずNPC鐨勮ˉ銆傜‘瀹氬瀷鍥劇伒鏈烘槸涓�縐嶄粠涓嶉�夋嫨縐誨姩鐨勭壒孌婄殑闈炵‘瀹氬瀷鍥劇伒鏈猴紝鏁呰嚜鐒舵湁P灞炰簬NP<br />
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&nbsp; &nbsp; &nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/classical-complexity-classes.png" alt="" /><br />
&nbsp;<br />
&nbsp;<strong>coNP銆乧oNPC鐨勫畾涔変箣闆嗗悎琛ㄨ堪</strong><br />
&nbsp; &nbsp; &nbsp;&nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/conp-conpc-define-with-set.png" width="176" height="46" alt="" /><br />
&nbsp;涓婇潰欏墮儴鐨勫浘鏈変釜鍋囪鍓嶆彁鏄細<span style="color: #ff00ff;">coNPC涓嶅睘浜嶯P</span>錛屽嵆鎴戜滑鐩鎬俊NP瀹屽叏闂鐨勮ˉ閮戒笉灞炰簬NP銆備絾<span style="color: #ff0000;">褰揚=NP鎴朜P=coNP</span>鏃訛紝鍙互鍙戠幇coNPC灞炰簬NP<br />
<strong><span style="font-size: 10pt;"><br />
&nbsp;&#9670;&nbsp;</span>涓轟粈涔坈oNPC灞炰簬coNP錛?br />
</strong>&nbsp; &nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/proof-conpc-belongto-conp.png" width="269" height="115" alt="" /><br />
<span style="font-weight: bold; font-size: 10pt;"><br />
&nbsp;&#9670;&nbsp;</span><strong>涓轟粈涔圢PC 涓嶅睘浜巆oNP錛?/strong><br />
<strong>&nbsp; &nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/proof-npc-nobelongto-conp.png" width="335" height="122" alt="" /></strong><br />
<span style="font-size: 13.3333px; font-weight: 700;"><br />
&nbsp;&#9670;&nbsp;</span><strong>涓轟粈涔圥灞炰簬coNP?</strong><br />
&nbsp; &nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/proof-p-belongto-conp.png" width="272" height="115" alt="" /><br />
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<span style="font-size: 13.3333px; font-weight: 700;">&nbsp;&#9670;&nbsp;</span><strong>褰揚=NP鏃訛紝涓轟粈涔圢P=coNP錛?br />
&nbsp; &nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/proof-np-eq-conp-while-p-eq-np.png" alt="" /><br />
</strong><span style="font-size: 13.3333px; font-weight: 700;">&nbsp;&#9670;&nbsp;</span><strong>褰揘P=coNP鏃訛紝涓轟粈涔圢PC=coNPC錛?br />
&nbsp; &nbsp;&nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/proof-npc-eq-conpc-while-np-eq-conp.png" width="708" height="309" alt="" /><br />
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<div>&nbsp;鍓嶆枃鐨勫叧緋繪紨鍙樺浘娌¤�冭檻澶氶」寮忕┖闂撮棶棰樼被PS涓庨�掑綊闂綾伙紙鍥犱負閭ｄ袱涓潯浠朵笉浼氬獎鍝嶅埌瀹冧滑錛夛紝<strong>PS錛圢PS錛?/strong>鏄甫澶氶」寮忕┖闂撮檺鍒剁殑紜畾鍨嬶紙闈炵‘瀹氬瀷錛夊浘鐏墊満鍙帴鍙楃殑璇█綾伙紝浣嗕笉闄愬埗榪愯鏃墮棿鍙兘闇�瓚呭欏瑰紡鎴栨寚鏁版椂闂達紝鍦ㄥ鍥村姞涓奝S涓庨�掑綊璇█綾誨悗濡備笅<br />
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&nbsp; &nbsp; &nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/classical-complexity-classes2.png" alt="" /><br />
<span style="font-size: 13.3333px; font-weight: 700;"><br />
&nbsp;&#9670;&nbsp;</span><strong>涓轟粈涔坈oNP 灞炰簬PS錛?br />
&nbsp; &nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/proof-conp-belongto-ps.png" width="269" height="160" alt="" /><br />
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</strong><strong style="font-size: 11pt;">&nbsp; 鐢ㄤ簬鍒嗘瀽鍔犲瘑</strong><strong style="font-size: 12pt;"><br />
</strong><strong>
</strong>&nbsp; &nbsp; 鏃犺瀵圭О榪樻槸鍏挜鍔犲瘑錛岀粺涓�璁懼姞瀵嗚繍綆椾負E錛岃В瀵嗕負D銆傚浜庢甯哥敤鎴鳳紝E鍜孌鐨嗕負DTM錛堢‘瀹氭�у浘鐏墊満錛夛紱瀵逛簬鏁屾墜錛岃嫢鏀誨嚮瀵圭О鍔犲瘑錛屽垯E鍜孌涓篘TM錛堥潪紜畾鎬у浘鐏墊満錛夛紝鏀誨嚮鍏挜鍒欒В瀵嗕負NTM銆傜敱浜嶦鍜孌杈撳叆涓哄瘑閽ュ拰鏄庢枃鎴栧瘑鏂囷紝鍥犳DTM鍜孨TM鍙噰鐢ㄥ閬?澶氬甫緇撴瀯銆侱TM浠ｈ〃P綾昏綆楋紝NTM浠ｈ〃NP綾昏綆楋紝鏁呭浜庡叕閽ュ姞瀵嗗畨鍏ㄤ繚闅滆姹?span style="color: red;">P!=NP</span>錛岃繖鏄竴涓?span style="color: red;">蹇呰鏉′歡</span>銆傚彟鏍規嵁璁＄畻鐞嗚瀹氱悊錛屽繀鏈塋(NTM)=L(DTM)錛屼絾鏄畠瀵瑰簲鐨凞TM鍙兘瑕佸鑺辮垂鎸囨暟鏃墮棿錛岃繖浜﹁鏄庣牬瑙ｅ叕閽ョ殑瑙ｅ瘑鏄洶闅劇殑
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<strong style="font-size: 12pt;">
闆剁煡璇嗗鏉傛�у叧緋?/strong><br />
<div>&nbsp; 渚濇嵁Oded Goldreich鐨勩�婂瘑鐮佸鍩虹銆嬶紝鍏崇郴濡備笅<br />
<br />
&nbsp; &nbsp;&nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/zk-complexity-classes-set.png" width="577" height="330" alt="" /><br />
<div>&nbsp; <br />
&nbsp; 鐩稿叧鍘熸枃鐗囨寮曠敤濡備笅</div>
</div>
<strong style="font-size: 12pt;">
&nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/zk-complexity-classes.PNG" width="540" height="412" alt="" /><br />
</strong>&nbsp;&nbsp;<strong>BPP</strong>鏄彲琚鐜囧欏瑰紡鏃墮棿鍥劇伒鏈?鍗抽殢鏈哄寲綆楁硶)璇嗗埆鐨勮璦�綾伙紝IP鏄墍鏈夊叿鏈変氦浜掕瘉鏄庣郴緇熺殑璇█鏋勬垚鐨勭被錛岀瓑浜庡欏瑰紡絀洪棿璇█綾誨嵆鍓嶆枃緇忓吀澶嶆潅鎬у叧緋諱腑鐨凱S錛屽涓嬪浘鎵�榪?br />
&nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/zk-ip-eq-pspace.PNG" width="540" height="161" alt="" /><br />
&nbsp; &nbsp;<strong>SZK!=CZK</strong>鏄洜涓鴻綆椾笉鍙垎杈ㄤ笉涓�瀹氳兘鎺ㄥ嚭緇熻涓嶅彲鍒嗚鯨錛?strong>BPP!=PZK</strong>涔嬪師鍥犲彲鐞嗚В涓築PP鏄��鍖栫殑鐗規畩鐨勫畬澶囦氦浜掕瘉鏄庣郴緇燂紙璇佹槑鑰呬粈涔堥兘涓嶅仛錛屼粎鐢遍獙璇佽�呮鐜囨�у湴鍐沖畾鏄惁鎺ュ彈鎴栨嫆緇濓級銆?br />
&nbsp;褰擄紙闈炲潎鍖�錛夊崟鍚戝嚱鏁板瓨鍦ㄦ椂<strong>CZK=IP</strong>錛屾秹鍙婄殑鍛介涓庡畾鐞嗗涓?br />
&nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/one-way-fun-exist-prg-exist.PNG" width="536" height="196" alt="" /><br />
<hr />
&nbsp;&nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/prg-bit-commitment-scheme.PNG" width="503" height="443" alt="" /><br />
<hr />
<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/zk-proof-system-for-ip.PNG" width="540" height="411" alt="" /><br />
<div><br />
&nbsp;涔熷氨鏄PS綾諱腑鐨勬瘡縐嶈璦�閮藉叿鏈夐浂鐭ヨ瘑璇佹槑緋葷粺錛屾瘮濡侼P鏈夊涓嬫瀯閫?br />
&nbsp;<img src="http://m.shnenglu.com/images/cppblog_com/qinqing1984/np-zk-proof-system.PNG" width="536" height="243" alt="" /></div>
</div><img src ="http://m.shnenglu.com/qinqing1984/aggbug/230277.html" width = "1" height = "1" /><br><br><div align=right><a style="text-decoration:none;" href="http://m.shnenglu.com/qinqing1984/" target="_blank">鏄ョ鍗佷簩鏈?/a> 2024-02-09 22:19 <a href="http://m.shnenglu.com/qinqing1984/archive/2024/02/09/230277.html#Feedback" target="_blank" style="text-decoration:none;">鍙戣〃璇勮</a></div>]]></description></item><item><title>鍏充簬鑷姩鏈哄拰姝ｅ垯鐨勪竴浜涢噸瑕佸畾鐞?/title><link>http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230074.html</link><dc:creator>鏄ョ鍗佷簩鏈?/dc:creator><author>鏄ョ鍗佷簩鏈?/author><pubDate>Sat, 09 Sep 2023 00:11:00 GMT</pubDate><guid>http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230074.html</guid><wfw:comment>http://m.shnenglu.com/qinqing1984/comments/230074.html</wfw:comment><comments>http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230074.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://m.shnenglu.com/qinqing1984/comments/commentRss/230074.html</wfw:commentRss><trackback:ping>http://m.shnenglu.com/qinqing1984/services/trackbacks/230074.html</trackback:ping><description><![CDATA[<div>1. 鑻FA D鏄敤瀛愰泦鏋勯�犳硶浠嶯FA N鏋勯�犲嚭鏉ョ殑錛屽垯L(D)=L(N)</div><div>2. 涓�涓璦�L琚煇涓狣FA鎺ュ彈錛屽綋涓斾粎褰撹鏌愪釜NFA鎺ュ彈</div><div>3. 涓�涓璦�L琚煇涓?#163;-NFA鎺ュ彈錛屽綋涓斾粎褰撹鏌愪釜DFA鎺ュ彈</div><div>4. 鑻ュ浜庢煇涓狣FA A錛孡=L(A)錛屽垯瀛樺湪涓�涓鍒欒〃杈懼紡R浣垮緱L=L(R)</div><div>5. 姣忎竴涓敤姝ｅ垯琛ㄨ揪寮忓畾涔夌殑璇█涔熷彲鐢ㄦ湁絀瘋嚜鍔ㄦ満瀹氫箟</div><div>6. 鑻ラ�氳繃濉〃綆楁硶涓嶈兘鍖哄垎涓や釜鐘舵�侊紝鍒欏畠浠槸絳変環鐨?/div><div>7. DFA鐨勭姸鎬佺瓑浠鋒�ф槸浼犻�掔殑</div><div>8. 鑻ュ浜嶥FA姣忎釜鐘舵�乹鍙婁笌q絳変環鐨勬墍鏈夌姸鎬佺粍鎴愬潡錛屽垯涓嶅悓鐨勭姸鎬佸潡褰㈡垚鐘舵�侀泦鍚堢殑鍒掑垎銆備篃灝辨槸璇達紝姣忎釜鐘舵�佹伆濂藉睘浜庝竴涓潡錛屽悓涓�鍧椾腑鐨勬墍鏈夋垚鍛橀兘鏄瓑浠風殑錛屼粠涓嶅悓鍧椾腑閫夋嫨鐨勭姸鎬佸閮戒笉鏄瓑浠風殑</div><div>9. 鏍規嵁絳変環鐘舵�佸垝鍒嗙畻娉曟渶灝忓寲DFA D寰楀埌鐨凞FA M鏄敮涓�鐨勩�備篃灝辨槸璇達紝涓嶅瓨鍦ㄥ叾瀹冪瓑浠蜂簬D鐨凞FA N錛屽叾鐘舵�佹暟姣擬灝?br />----------------------------------------------------------------------------------------</div><div>10. 瀵逛簬姝ｅ垯琛ㄨ揪寮忥紝絀洪泦鏄茍榪愮畻鐨勫崟浣嶅厓銆佽繛鎺ヨ繍綆楃殑闆跺厓錛岀┖涓叉槸榪炴帴榪愮畻鐨勫崟浣嶅厓</div><div>11. 鑻鍜孧閮芥槸姝ｅ垯璇█錛屽垯L鍜孧鐨勫茍銆佷氦銆佸樊涔熸槸</div><div>12. 鑻鏄瓧姣嶈〃T涓婄殑姝ｅ垯璇█錛屽垯~L=T*&#8212;L涔熸槸</div><div>13. 鑻鏄鍒欒璦�錛屽垯L鐨勫弽杞篃鏄?/div><div>14. 鑻鏄瓧姣嶈〃T涓婄殑姝ｅ垯璇█錛宧鏄疶涓婄殑涓�涓悓鎬侊紝鍒檋(L)涔熸槸姝ｅ垯鐨?/div><div>15. 鑻鏄瓧姣嶈〃A鍒板瓧姣嶈〃T鐨勫悓鎬侊紝涓擫鏄疶涓婄殑姝ｅ垯璇█錛屽垯閫嗗悓鎬乭^-1(L)涔熸槸姝ｅ垯鐨?/div><img src ="http://m.shnenglu.com/qinqing1984/aggbug/230074.html" width = "1" height = "1" /><br><br><div align=right><a style="text-decoration:none;" href="http://m.shnenglu.com/qinqing1984/" target="_blank">鏄ョ鍗佷簩鏈?/a> 2023-09-09 08:11 <a href="http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230074.html#Feedback" target="_blank" style="text-decoration:none;">鍙戣〃璇勮</a></div>]]></description></item><item><title>姝ｅ垯璇█R鍜屼笂涓嬫枃鏃犲叧璇█CFL鐨勫垽瀹氭�ц川鎬葷粨</title><link>http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230073.html</link><dc:creator>鏄ョ鍗佷簩鏈?/dc:creator><author>鏄ョ鍗佷簩鏈?/author><pubDate>Sat, 09 Sep 2023 00:09:00 GMT</pubDate><guid>http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230073.html</guid><wfw:comment>http://m.shnenglu.com/qinqing1984/comments/230073.html</wfw:comment><comments>http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230073.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://m.shnenglu.com/qinqing1984/comments/commentRss/230073.html</wfw:commentRss><trackback:ping>http://m.shnenglu.com/qinqing1984/services/trackbacks/230073.html</trackback:ping><description><![CDATA[<div><strong>1. 絀烘�?/strong>錛氬浜嶳錛岃嫢緇欏畾褰㈠紡鏄嚜鍔ㄦ満姣斿&#163;-NFA錛屽垯絳変環浜庡垽瀹氳兘鍚︿粠鍒濆鐘舵�佸埌杈炬帴鍙楃姸鎬侊紝榪欓渶璁＄畻鍙揪鐘舵�侀泦鍚堬紝鑻ヤ換涓�鎺ュ彈鐘舵�佸湪閲岄潰錛屽垯涓洪潪絀猴紝鍚﹀垯涓虹┖銆傝�楁椂涓嶈秴榪嘜(n^2)錛宯涓鴻嚜鍔ㄦ満鐨勭姸鎬佹暟銆傝嫢緇欏畾褰㈠紡鏄鍒欒〃杈懼紡錛屽垯鍙厛杞負&#163;-NFA錛屽啀璁＄畻鍙揪鐘舵�侀泦鍚堬紝濡傛澧炲杞寲鏃墮棿O(s)錛宻涓烘鍒欒〃杈懼紡鐨勯暱搴︺�備篃鍙笉杞負鑷姩鏈猴紝鐩存帴鏍規嵁鍩虹褰掔撼瑙勫垯鐢ㄩ�掓帹娉曞垽瀹氾紝鑰楁椂涓篛(s)銆?瀵逛簬CFL錛岀瓑浠蜂簬鍒ゅ畾寮�濮嬬鍙鋒槸鍚︿負浜х敓鐨勶紝鑻ユ槸鍒欓潪絀猴紝鍚﹀垯涓虹┖銆傚鐩存帴鐢ㄤ駭鐢熷彉鍏冪殑鍩虹褰掔撼娉曡綆楋紝閭ｈ�楁椂O(n^2)錛宯涓烘枃娉旼鐨勮妯★紝鎺ヨ繎鍙樺厓鐨勪釜鏁般�備竴涓敼榪涚殑綆楁硶瀹炵幇錛岄鍏堝緩绔嬩互鍙樺厓涓虹儲寮曠殑鏁扮粍銆佹瘡涓彉鍏冪殑閾炬帴錛堜駭鐢熷紡鍐呴摼鎺ャ�佷駭鐢熷紡闂撮摼鎺ワ級錛屽垯鑰楁椂O(n)</div><div><strong>2. 鎴愬憳鎬?/strong>錛氳涓瞱鐨勯暱搴︿負n銆傚浜嶳錛岀瓑浠蜂簬鍒ゅ畾鑷姩鏈鴻兘鍚︽帴鍙梬錛岃嫢緇欏畾褰㈠紡鏄疍FA錛屽垯鑰楁椂O(n)銆傝嫢緇欏畾褰㈠紡鏄疦FA錛屽垯鑰楁椂O(n*s^2)錛宻涓虹姸鎬佹暟錛屽NFA鏈?#163;杞Щ錛岄偅闇�鍏堣綆楀畠鐨勯棴鍖咃紝鑰楁椂澧炲O(s^2)錛屽彲瑙佹�昏�楁椂榪樻槸O(n*s^2)銆傝嫢緇欏畾褰㈠紡鏄鍒欒〃杈懼紡錛屽垯鍏堣漿涓篘FA錛岃�楁椂澧炲O(r)錛宺涓鴻〃杈懼紡鐨勯暱搴︺�?瀵逛簬CFL錛岀瓑浠蜂簬鍒ゅ畾浠庢枃娉旼鐨勫紑濮嬬鍙稴鑳藉惁鎺ㄥ鍑簑錛屼竴鑸敤CYK綆楁硶鏋勯�犱駭鐢熷紡涓夎琛紝鍐嶆煡鐪婼鏄惁灞炰簬琛ㄧ殑欏剁偣闆嗗悎錛岃嫢灞炰簬鍒欒兘鎺ㄥ鍑簑錛屽惁鍒欎笉鑳斤紝鑰楁椂涓篛(n^3)</div><img src ="http://m.shnenglu.com/qinqing1984/aggbug/230073.html" width = "1" height = "1" /><br><br><div align=right><a style="text-decoration:none;" href="http://m.shnenglu.com/qinqing1984/" target="_blank">鏄ョ鍗佷簩鏈?/a> 2023-09-09 08:09 <a href="http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230073.html#Feedback" target="_blank" style="text-decoration:none;">鍙戣〃璇勮</a></div>]]></description></item><item><title>涓轟粈涔堢礌媯�嫻嬪瓨鍦ㄦ鐜囧欏瑰紡鏃墮棿綆楁硶</title><link>http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230072.html</link><dc:creator>鏄ョ鍗佷簩鏈?/dc:creator><author>鏄ョ鍗佷簩鏈?/author><pubDate>Sat, 09 Sep 2023 00:07:00 GMT</pubDate><guid>http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230072.html</guid><wfw:comment>http://m.shnenglu.com/qinqing1984/comments/230072.html</wfw:comment><comments>http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230072.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://m.shnenglu.com/qinqing1984/comments/commentRss/230072.html</wfw:commentRss><trackback:ping>http://m.shnenglu.com/qinqing1984/services/trackbacks/230072.html</trackback:ping><description><![CDATA[<div>鍥犱負涓�涓暣鏁皃錛岃嫢媯�嫻嬩負鍚堟暟錛岃繖姘歌繙鏄湡鍛介錛涜�屾嫻嬩負绱犳暟錛岃繖鍛介鍙互杈冨ぇ姒傜巼鎴愮珛銆?鍙瀯閫犱竴縐峃P媯�嫻嬬畻娉曪紝姝ラ濡備笅錛?/div>
<div>1. 鐚滄祴p錛堜綅闀垮害n錛夌殑鍥犲瓙鍒楄〃锝沺1,p2,&#8230;pi锝濓紝榪欐槸闈炵‘瀹氱殑錛屾瘡涓垎鏀�楁椂O(n)</div>
<div>2. 楠岃瘉p1*p2*&#8230;pi錛?p-1錛岃�楁椂涓嶈秴榪嘜(n^2)</div>
<div>3. 鑻ュ悇鍥犲瓙涔樼Н絳変簬p-1錛屽垯鐢ㄥ綋鍓嶇畻娉曢�掑綊楠岃瘉姣忎釜鍥犲瓙閮芥槸绱犳暟</div>
<div>4. 闅忔満閫夋嫨p鏈�灝忓墿浣欑郴鍐呯殑涓�涓暟x錛岃綆梮^((p-1)/q) 錛坬閬嶅巻涓婅堪鍒楄〃緇忚繃姝ラ3楠岃瘉榪囩殑绱犲洜瀛愶級鏄惁閮戒笉鍚屼綑浜?妯錛岃嫢鏄垯蹇呮湁x^(p-1)鍚屼綑浜?妯錛屽垯鐢辨寚鏁版暣闄鐨勬鎷夋暟鍙婅垂椹皬瀹氱悊錛岀煡p涓虹礌鏁幫紝鑰冭檻鍒版湁灝戦噺鐨勫悎鏁頒篃婊¤凍璐歸┈灝忓畾鐞嗭紝鏁呴渶澶氭閫夋嫨x閲嶅楠岃瘉錛岄�夋嫨涓暟鏈�澶氫負log(p)</div>
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鍒嗘瀽錛氭湰綆楁硶娑夊強鐨勬暟璁哄畾鐞?#8212;&#8212;璁緋鏄绱犳暟錛宲-1鐨勬墍鏈夌礌鍥犲瓙鏄痲1,q2,&#8230;qs錛岄偅涔坓涓哄師鏍圭殑鍏呰鏉′歡鏄紝g^((p-1)/qj)涓嶅悓浣?妯錛宩=1,2&#8230;,s</div>
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<img src ="http://m.shnenglu.com/qinqing1984/aggbug/230072.html" width = "1" height = "1" /><br><br><div align=right><a style="text-decoration:none;" href="http://m.shnenglu.com/qinqing1984/" target="_blank">鏄ョ鍗佷簩鏈?/a> 2023-09-09 08:07 <a href="http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230072.html#Feedback" target="_blank" style="text-decoration:none;">鍙戣〃璇勮</a></div>]]></description></item><item><title>鍛介涓庤皳璇嶉�昏緫鍙垽瀹氭�?/title><link>http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230071.html</link><dc:creator>鏄ョ鍗佷簩鏈?/dc:creator><author>鏄ョ鍗佷簩鏈?/author><pubDate>Sat, 09 Sep 2023 00:05:00 GMT</pubDate><guid>http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230071.html</guid><wfw:comment>http://m.shnenglu.com/qinqing1984/comments/230071.html</wfw:comment><comments>http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230071.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://m.shnenglu.com/qinqing1984/comments/commentRss/230071.html</wfw:commentRss><trackback:ping>http://m.shnenglu.com/qinqing1984/services/trackbacks/230071.html</trackback:ping><description><![CDATA[<div><strong style="color: #ff6600;">涓轟粈涔堝懡棰橀�昏緫鏈夋晥鎬ф槸鍙垽瀹氱殑錛岃�岃皳璇嶉�昏緫鏈夋晥鎬ф槸涓嶅彲鍒ゅ畾鐨勶紵</strong><br />鍥犱負鍛介閫昏緫鐢辨湁闄愪釜鍚堝紡鍏紡鍙婂師瀛愬懡棰樻瀯鎴愶紝涓斿師瀛愬懡棰樼殑鍙栧�煎彧鏈夌湡銆佸亣涓ょ錛岀畝鍗曠殑鍒ゅ畾鏂規硶鏄湡鍊艱〃絀蜂婦錛屽叾澶嶆潅搴︿負鎸囨暟綰э細2^N錛孨涓哄師瀛愬懡棰樻暟閲忋�傚揩閫熺殑鏂規硶鏄厛杞垚鍚堝彇鑼冨紡錛堣緭鍏ユ槸鐢卞惁瀹氥�佽�屼笖銆佹垨鑰呫�佽暣鍚洓縐嶈繛鎺ヨ瘝鏋勬垚鐨勮娉曟紜殑鍛介閫昏緫鍏紡錛岀粡榪囧鍏紡緇撴瀯褰掔撼浣滆暣鍚噴鏀俱�佸惁瀹氬師瀛愩�佸垎閰嶅緥鍙樻崲涓夋澶勭悊錛屽悓鏃惰繍鐢―AG浼樺寲錛氬叡浜粓姝㈠嵆鍙跺瓙緇撶偣銆佸垹闄ゅ啑浣欑殑嫻嬭瘯緇撶偣銆佸垹闄ら噸澶嶇殑鏈夌浉鍚屽瓙鍥劇粨鏋勭殑鍐呴儴緇撶偣錛岃緭鍑虹瓑浠鋒渶灝忕殑鍚堝彇鑼冨紡錛夛紝鍐嶆嫻嬪悎鍙栬寖寮忕殑鏈夋晥鎬э紙媯�鏌ユ墍鏈夊瓙鍙ワ紝鑻ユ瘡涓瓙鍙ュ寘鍚嚦灝戜竴涓師瀛愬強鍏跺惁瀹氬艦寮忥紝鍒欐湁鏁堬紝鍚﹀垯鍥犱負瀛樺湪涓�縐嶇湡鍊兼寚媧句嬌鍏朵負鍋囪�屽鑷存暣涓悎鍙栬寖寮忔棤鏁堬級錛屽叾澶嶆潅搴︿負澶氶」寮忕駭錛歂*logN+N錛孨涓哄叕寮忛暱搴︺�傝皳璇嶉�昏緫鍩轟簬鍛介閫昏緫鎵╁睍錛屾坊鍔犱簡鍙樺厓銆佸嚱鏁般�侀噺璇?#8220;鎵�鏈?#8221;涓?#8220;瀛樺湪&#8221;錛屽鏋滈噺璇嶆病鏈夌害鏉熷彉鍏冭寖鍥村嵆瀹氫箟鍩熸棤闄愶紝閭ｄ箞鍑芥暟鍊煎煙涔熸槸鏃犻檺鐨勶紝鍙﹀鍙兘寮曞叆鐨勮嚜鐢卞彉鍏冧笉鍙楅檺鍒訛紝榪欏鑷翠簡瑙ｇ┖闂存槸鏃犻檺鐨勶紝鎵�浠ヤ笉瀛樺湪閫氱敤綆楁硶鍘誨垽瀹氫換鎰忚皳璇嶉�昏緫鍏紡鏄惁鏈夋晥錛屽叿浣撹瘉鏄庡彲浠ョ敤pcp褰掔害錛屽嵆鏋勯�犱竴緇勭壒瀹氱殑璋撹瘝閫昏緫鍏紡錛屽畠鏄湁鏁堢殑褰撲笖浠呭綋pcp瀹炰緥鏈夎В錛屽張宸茬煡pcp鏄笉鍙垽瀹氱殑錛屾晠璇ョ壒瀹氳皳璇嶉�昏緫鏈夋晥鎬ф槸涓嶅彲鍒ゅ畾鐨勶紝鐢變簬浠繪剰鍖呮嫭鐗瑰畾錛屾墍浠ヨ皳璇嶉�昏緫鏈夋晥鎬ф槸涓嶅彲鍒ゅ畾鐨?/div> <img src ="http://m.shnenglu.com/qinqing1984/aggbug/230071.html" width = "1" height = "1" /><br><br><div align=right><a style="text-decoration:none;" href="http://m.shnenglu.com/qinqing1984/" target="_blank">鏄ョ鍗佷簩鏈?/a> 2023-09-09 08:05 <a href="http://m.shnenglu.com/qinqing1984/archive/2023/09/09/230071.html#Feedback" target="_blank" style="text-decoration:none;">鍙戣〃璇勮</a></div>]]></description></item></channel></rss>                                                           <a href="http://m.shnenglu.com/">&#38738;&#38738;&#33609;&#21407;&#32508;&#21512;&#20037;&#20037;&#22823;&#20234;&#20154;&#23548;&#33322;&#95;&#33394;&#32508;&#21512;&#20037;&#20037;&#22825;&#22825;&#32508;&#21512;&#95;&#26085;&#26085;&#22108;&#22108;&#22812;&#22812;&#29408;&#29408;&#20037;&#20037;&#19969;&#39321;&#20116;&#26376;&#95;&#28909;&#20037;&#20037;&#36825;&#37324;&#21482;&#26377;&#31934;&#21697;</a>

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