{"id":1947,"date":"2021-08-22T21:07:56","date_gmt":"2021-08-22T13:07:56","guid":{"rendered":"http:\/\/47.101.202.111\/?p=1947"},"modified":"2021-10-04T22:38:22","modified_gmt":"2021-10-04T14:38:22","slug":"%e9%ab%98%e7%ba%a7%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84%e7%9a%84%e5%9c%ba%e6%99%af%e5%ba%94%e7%94%a8-%e9%9d%a2%e8%af%95%e7%9c%9f%e9%a2%98%e6%8e%a2%e8%ae%a8","status":"publish","type":"post","link":"http:\/\/139.196.114.170\/?p=1947","title":{"rendered":"\u9ad8\u7ea7\u6570\u636e\u7ed3\u6784\u7684\u573a\u666f\u5e94\u7528 – \u9762\u8bd5\u771f\u9898\u63a2\u8ba8"},"content":{"rendered":"

\u5927\u5b66\u4e00\u5757\u505a\u9879\u76ee\u7684\u57fa\u53cb\u5f00\u59cb\u79cb\u62db\u4e86\uff0c\u8ba8\u8bba\u4e86\u4e00\u4e9b\u5f88\u6709\u610f\u601d\u7684\u9898\u76ee\uff0c\u6765\u8fdb\u4e00\u6b65\u63a2\u8ba8\u548c\u5206\u6790\u4e00\u4e0b\uff0c\u6709\u9519\u8bef\u6b22\u8fce\u5927\u5bb6\u63d0\u51fa\u66f4\u6b63\uff0c\u66f4\u597d\u7684\u65b9\u6848\u6b22\u8fce\u5206\u4eab<\/p>\n

\u4ebf\u7ea7\u6570\u636e\u6392\u5e8f – \u5806\u3001bitmap\u548ctrie<\/h4>\n

Q\uff1a<\/strong>\u8bbe\u8ba1\u4e00\u4e2a\u4ebf\u7ea7\u7528\u6237\u6e38\u620f\u7684\u6218\u6597\u529b\u6392\u884c\u699c\uff0c\u524d100\u540d\u516c\u793a\uff0c100\u540d\u4e4b\u5916\u53ea\u80fd\u770b\u5230\u81ea\u5df1\u6392\u540d<\/p>\n

A\uff1a<\/strong> \u524d100\u540d\u662ftopK\u95ee\u9898\uff0c\u53ef\u4f7f\u7528bitmap\u7b97\u6cd5\uff08\u7c7b\u4f3c\u54c8\u5e0c\uff0c\u4e14\u6570\u636e\u91cd\u590d\u65f6\u6539\u7528\u62c9\u94fe\u6cd5\u5904\u7406\uff09\u3001Trie\u6811\uff08\u904d\u5386\u7ed3\u679c\u4e3a\u5b57\u5178\u5e8f\uff0c\u8ba1\u6570\u5668\u8d70100\u6b21\uff0c\u91cd\u590d\u60c5\u51b5\u7279\u6b8a\u5904\u7406\u8bb0\u5f55\uff09\u3001\u5bb9\u91cf\u4e3aK\u7684\u5806\u6392\u5e8f<\/p>\n

\u5176\u4f59\u60c5\u51b5\u662f\u5927\u89c4\u6a21\u6570\u636e\u6392\u5e8f\u95ee\u9898\uff0c\u9664bitmap\u548cTrie\u6811\u5916\uff0c\u8fd8\u53ef\u91c7\u7528\u5206\u6cbb\u7b97\u6cd5\u5982\u591a\u8def\u5f52\u5e76\u6392\u5e8f\u3001\u591a\u8def\u5feb\u901f\u6392\u5e8f\uff0c\u6bcf\u6b21\u5904\u7406\u4e00\u4e2a\u5185\u5b58\u5757\u7684\u6570\u636e\uff0c\u5e76\u5c06\u7ed3\u679c\u5408\u5e76<\/p>\n

\u770b\u5230\u81ea\u5df1\u6392\u540d\u9700\u8981\u5bf9\u6392\u5e8f\u7ed3\u679c\u8fdb\u884c(key,val)\u67e5\u8be2\u3002\u6392\u5e8f\u7ed3\u675f\u540e\u626b\u63cf\u4e00\u904d\u7ed3\u679c\u5efa\u7acbmap(key,val)\uff0ckey\u53ef\u9009\u7528\u7528\u6237id<\/p>\n

\u591a\u673a\u4e2d\u4f4d\u6570\u67e5\u627e – \u6876\u6392\u5e8f<\/h4>\n

Q\uff1a\u6570\u636e\u5206\u6563\u5728\u591a\u53f0\u673a\u5668\u4e0a\uff0c\u5982\u4f55\u5feb\u901f\u627e\u5230\u4e2d\u4f4d\u6570\uff1f<\/p>\n

A\uff1a\u628a\u6574\u6570\u80fd\u8868\u793a\u7684\u8303\u56f4\u5212\u5206\u4e3aX\u4e2a\u533a\u95f4\uff0c\u5355\u673a\u7edf\u8ba1\u843d\u5165\u533a\u95f4\u6570\u5b57\u8ba1\u6570\uff0c\u603b\u673a\u4ece\u5c0f\u5230\u5927\u8fdb\u884c\u533a\u95f4\u52a0\u548c\uff0c\u52a0\u5230 $\\scriptsize \\lceil N\/2 \\rceil$ \u843d\u5728\u7684\u533a\u95f4\u5373\u4e3a\u6570\u5b57\u6240\u5728\u533a\u95f4\uff0c\u5e76\u4fdd\u5b58\u524d\u4e00\u533a\u95f4\u7684\u7d2f\u52a0\u548c\u8ba1\u6570M\u3002
\n\u6c42\u8fd1\u4f3c\u503c\u53ef\u76f4\u63a5\u53d6\u533a\u95f4\u4e2d\u70b9\u3002
\n\u6c42\u51c6\u786e\u503c\u5219\u8fdb\u884c\u4e8c\u8f6e\u626b\u63cf\u4e2d\u4f4d\u533a\u95f4\u5404\u6570\u5b57\u8ba1\u6570\uff0c\u626b\u63cf\u7ed3\u675f\u540e\u4ecd\u4ece\u5c0f\u5230\u5927\u5728M\u7684\u57fa\u7840\u4e0a\u7d2f\u52a0\uff0c\u76f4\u5230\u7d2f\u52a0\u7ed3\u679c $\\scriptsize \\lceil N\/2 \\rceil$ \u5bf9\u5e94\u7684\u6570\u5b57\u4e3a\u51c6\u786e\u6570\u5b57<\/p>\n

\u4f8b\u8bc1<\/strong> (\u4ec5\u4f5c\u8bf4\u660e\u7528\uff0c\u53d6\u8f83\u5bb9\u6613\u6570\u5b57)<\/p>\n

\u5355\u673a1 [1,2,3]\n\u5355\u673a2 [1,1,9]\n\u5355\u673a3 [-1,5,6]\n<\/code><\/pre>\n
\u2460\u628a\u6570\u5b57\u8303\u56f4[-3\uff0c9]\u5212\u5206\u4e3a\u533a\u95f4 [-3\uff0c0]\u3001[1\uff0c4]\u3001[5\uff0c9]<\/p>\n
\u2461\u5404\u5355\u673a\u7edf\u8ba1\u6570\u5b57\u843d\u6876\uff0c\u5408\u5e76\u533a\u95f4
\n[-3\uff0c0]\uff1a0(\u5355\u673a1)+0(\u5355\u673a2)+1(\u5355\u673a3)=1
\n[1\uff0c4]\uff1a3(\u5355\u673a1)+2(\u5355\u673a2)+0(\u5355\u673a3)=5
\n[5\uff0c9]\uff1a0(\u5355\u673a1)+1(\u5355\u673a2)+2(\u5355\u673a3)=3<\/p>\n
\u2462\u627e\u4e2d\u4f4d\u6570\u6240\u5728\u533a\u95f4
\n\u7b2c\u4e00\u4e2a\u533a\u95f41\u4e2a\u6570\u5b57\uff0c\u4fdd\u5b58\u7b2c\u4e00\u4e2a\u533a\u95f4\u7d2f\u8ba1\u52a0\u548cM=1
\n\u7b2c\u4e8c\u4e2a\u533a\u95f45\u4e2a\u6570\u5b57\uff0c\u51711+5=6 >  $\\scriptsize \\lceil 9\/2 \\rceil$ \uff0c\u4e2d\u4f4d\u6570\u57281-4\u4e4b\u95f4<\/p>\n
\u2463\u627e\u51c6\u786e\u4e2d\u4f4d\u6570
\n\u5404\u5355\u673a\u626b\u63cf\u533a\u95f4[1,4]\u5185[1,2,3,4]\u5404\u6570\u7684\u8ba1\u6570\uff0c\u7ed3\u679c\u4e3a[3,1,1,0]\uff0cM+3+1\u5373\u4e3a\u7b2c $\\scriptsize \\lceil N\/2 \\rceil$ \u4e2a\u6570\u5b57\uff0c\u5373\u4e2d\u4f4d\u65702<\/p>\n
\u6280\u80fd\u8303\u56f4\u68c0\u6d4b – \u56db\u53c9\u6811<\/h4>\n
Q\uff1a\u4e00\u4e2a\u6280\u80fd\u662f\u4e00\u4e2a\u5706\u5f62\u8303\u56f4\uff0c\u5730\u56fe\u4e0a\u6709\u5f88\u591a\u91ce\u602a\uff0c\u91ce\u602a\u53ef\u4ee5\u79fb\u52a8\uff0c\u5982\u4f55\u5224\u65ad\u6280\u80fd\u53ef\u4ee5\u547d\u4e2d\u54ea\u4e9b\u91ce\u602a\uff08\u9ed8\u8ba4\u4e3b\u89d2\u548c\u91ce\u602a\u90fd\u7528\u5750\u6807\u8868\u793a\uff09<\/p>\n
A\uff1a\u66b4\u529b\u8ba1\u7b97<\/strong> \u904d\u5386\u6bcf\u4e00\u4e2a\u91ce\u602a\u8ba1\u7b97\u4e24\u70b9\u8ddd\u79bb\u516c\u5f0f\uff0c\u4e0e\u6280\u80fd\u534a\u5f84\u4f5c\u6bd4\u8f83\u3002\u6bcf\u9694\u56fa\u5b9a\u5e27\u91cd\u590d\u4e0a\u8ff0\u8ba1\u7b97\u3002<\/p>\n
\u7ef4\u62a4\u5c0f\u9876\u5806<\/strong> \u7ef4\u62a4\u4e00\u4e2a\u4ee5\u8ddd\u79bb\u5efa\u7acb\u7684\u5c0f\u9876\u5806\u540c\u65f6\u4fdd\u5b58\u8ddd\u79bb\u503c\uff0c\u521d\u59cb\u5c06\u6240\u6709\u91ce\u602a\u90fd\u5165\u5806\u3002\u4e00\u4e00\u53d6\u51fa\u5806\u9876\u4e0e\u6280\u80fd\u534a\u5f84\u4f5c\u6bd4\u8f83\uff0c\u76f4\u5230\u5806\u9876\u5143\u7d20\u5927\u4e8e\u6280\u80fd\u534a\u5f84\u7ed3\u675f\uff0c\u53d6\u51fa\u7684\u5143\u7d20\u505a\u201c\u51cf\u8840\u201d\u64cd\u4f5c\u540e\u91cd\u65b0\u5165\u5806\u3002\u6bcf\u9694\u56fa\u5b9a\u5e27\u8ba1\u7b97\u5750\u6807\u53d1\u751f\u53d8\u5316\u7684\u91ce\u602a\u5e76\u8c03\u6574\u5728\u5806\u4e2d\u7684\u4f4d\u7f6e\uff0c\u91cd\u590d\u4e0a\u8ff0\u64cd\u4f5c\u3002<\/p>\n
\u56db\u53c9\u6811<\/strong> \u5c06\u5730\u56fe\u5212\u5206\u4e3a\u56db\u4e2a\u533a\u57df\uff0c\u5c06\u5b50\u533a\u57df\u7ee7\u7eed\u5212\u5206\u4e3a\u56db\u4e2a\u5b50\u533a\u57df\uff0c\u76f4\u5230\u53f6\u5b50\u8282\u70b9\u6240\u4ee3\u8868\u7684\u533a\u57df\u5185\u91ce\u602a\u6570\u91cf\u6ee1\u8db3\u8bbe\u5b9a\u9608\u503c\u505c\u6b62\u5212\u5206\uff0c\u7531\u6b64\u5efa\u7acb\u51fa\u4e00\u68f5\u56db\u53c9\u6811\uff0c\u5e76\u5728\u533a\u57df\u4e2d\u5b58\u50a8\u91ce\u602a\u4fe1\u606f\u3002\u904d\u5386\u56db\u53c9\u6811\u8282\u70b9\uff0c\u4ec5\u5728\u4e3b\u89d2\u6280\u80fd\u8303\u56f4\u4e0e\u8be5\u8282\u70b9\u6240\u4ee3\u8868\u7684\u533a\u57df\u6709\u4ea4\u754c\u65f6\uff0c\u7b26\u5408\u533a\u57df\u5185\u7684\u91ce\u602a\u4f7f\u7528\u4e0a\u8ff0\u66b4\u529b\u8ba1\u7b97\u3002\u6bcf\u9694\u56fa\u5b9a\u5e27\u91cd\u590d\u4e0a\u8ff0\u8ba1\u7b97\u3002<\/p>\n
\u5730\u56fe\u5bfb\u8def\u7b97\u6cd5 – A*<\/h4>\n
\u5355\u8bcd\u8f6f\u4ef6\u8bbe\u8ba1 – Trie\u6811<\/h4>\n
Q\uff1a\u8bbe\u8ba1\u4e00\u4e2a\u53ef\u4ee5\u67e5\u8be2\u5355\u8bcd\u7684\u8f6f\u4ef6<\/p>\n
A\uff1aTrie\u6811\u7684\u5355\u8bcd\u672b\u5b57\u7b26\u5904\u4fdd\u5b58\u5730\u5740\uff0c\u5730\u5740\u6307\u5411\u5355\u8bcd\u91ca\u4e49\u7684\u5185\u5b58\u5730\u5740\uff0c\u5f53\u7136\u6570\u636e\u5e93\u4e5f\u53ef\u4ee5\u5b9e\u73b0<\/p>\n","protected":false},"excerpt":{"rendered":"
\u5927\u5b66\u4e00\u5757\u505a\u9879\u76ee\u7684\u57fa\u53cb\u5f00\u59cb\u79cb\u62db\u4e86\uff0c\u8ba8\u8bba\u4e86\u4e00\u4e9b\u5f88\u6709\u610f\u601d\u7684\u9898\u76ee\uff0c\u6765\u8fdb\u4e00\u6b65\u63a2\u8ba8\u548c\u5206\u6790\u4e00\u4e0b\uff0c\u6709\u9519\u8bef\u6b22\u8fce\u5927\u5bb6\u63d0\u51fa\u66f4\u6b63\uff0c\u66f4\u597d … <\/p>\n
\u7ee7\u7eed\u9605\u8bfb\u201c\u9ad8\u7ea7\u6570\u636e\u7ed3\u6784\u7684\u573a\u666f\u5e94\u7528 – \u9762\u8bd5\u771f\u9898\u63a2\u8ba8\u201d<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[12,1],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"http:\/\/139.196.114.170\/index.php?rest_route=\/wp\/v2\/posts\/1947"}],"collection":[{"href":"http:\/\/139.196.114.170\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/139.196.114.170\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/139.196.114.170\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/139.196.114.170\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1947"}],"version-history":[{"count":8,"href":"http:\/\/139.196.114.170\/index.php?rest_route=\/wp\/v2\/posts\/1947\/revisions"}],"predecessor-version":[{"id":2054,"href":"http:\/\/139.196.114.170\/index.php?rest_route=\/wp\/v2\/posts\/1947\/revisions\/2054"}],"wp:attachment":[{"href":"http:\/\/139.196.114.170\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1947"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/139.196.114.170\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1947"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/139.196.114.170\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1947"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}