{"id":16,"date":"2019-03-16T20:33:09","date_gmt":"2019-03-16T12:33:09","guid":{"rendered":"https:\/\/blog.kaaass.net\/acm\/?p=16"},"modified":"2019-03-16T20:33:09","modified_gmt":"2019-03-16T12:33:09","slug":"jlu-acm-freshmen","status":"publish","type":"post","link":"https:\/\/blog.kaaass.net\/acm\/2019\/03\/jlu-acm-freshmen\/","title":{"rendered":"JLU ACM \u65b0\u751f\u9009\u62d4\u8d5b\u601d\u8def\u7b14\u8bb0"},"content":{"rendered":"

A<\/h1>\n

0-1\u80cc\u5305\u6a21\u677f\u9898\uff0c\u512a\u3057\u3044\u7684\u96be\u5ea6\u3002<\/p>\n

B<\/h1>\n

dp\u9898\uff0c\u770b\u7684\u65f6\u5019\u5f88\u773c\u719f\uff0c\u9a6c\u4e0a\u5c31\u60f3\u5230\u7c7b\u4f3c\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\u3002\u6bcf\u79cd\u72b6\u6001\u67093\u79cd\u53ef\u884c\u7b56\u7565\uff1a\u5339\u914d\u6216\u8005\u5404\u9000\u4e00\u6b65\u5339\u914d\u7a7a\u767d\u3002\u540e\u6765\u627e\u5230\u539f\u9898P1140\uff0c\u679c\u7136\u505a\u8fc7\u7c7b\u4f3c\u7684\u3002<\/p>\n

C<\/h1>\n

\u9898\u76ee\u7ed9\u4e86\u4e00\u4e2a\u7ebf\u6027\u540c\u4f59\u968f\u673a\u6570\u4ea7\u751f\u5f0f\uff1a<\/p>\n

X_{n} = a X_{n-1} + b\\ \\rm {mod}\\ c<\/span><\/p>\n

\u5df2\u77e5X_{n} = 1<\/span>\uff0c\u6c42\u6700\u5c0fX_{n-1}<\/span>\u3002\u5f88\u5bb9\u6613\u60f3\u5230\u53ef\u4ee5\u8f6c\u5316\u4e3a\u6c42\u7ebf\u6027\u540c\u4f59\u65b9\u7a0b\u6700\u5c0f\u89e3\u3002\u8bbeX = X_{n-1}<\/span>\u6709\uff0c<\/p>\n

aX \\equiv 1 - b \\left( \\rm {mod}\\ c \\right)<\/span><\/p>\n

\u7136\u540e\u5c31\u53ef\u4ee5\u6309\u7167\u4e00\u822c\u5957\u8def\u8f6c\u5316\u6210<\/p>\n

aX + cy = 1 - b = gcd\\left( a, c \\right)<\/span><\/p>\n

\u7136\u540e\u4f7f\u7528\u62d3\u6b27\u6c42\u89e3\u3002\u867d\u7136\u8003\u8651\u4e86\u4e00\u4e9b\u975e\u4e92\u7d20\u7684\u60c5\u51b5\uff0c\u4f46\u662f\u4f9d\u65e7WA\uff0c\u53ef\u80fd\u8fd8\u662f\u6f0f\u4e86\u4ec0\u4e48\u60c5\u51b5\u3002\u8bf4\u5230\u5e95\uff0c\u6211\u201c\u8d76\u9e2d\u5b50\u4e0a\u67b6\u201d\u5f0f\u7684\u6570\u8bba\u5b66\u4e60\u8fd8\u662f\u4e0d\u591f\u3002<\/p>\n

D<\/h1>\n

\u9898\u76ee\u6709\u70b9\u957f\uff0c\u770b\u7740\u6655\u5c31\u8df3\u4e86\u2026\u2026<\/p>\n

E<\/h1>\n

RMQ\u6ca1\u600e\u4e48\u5b66\u8fc7\u3002\u65e0\u8bba\u4ece\u6570\u636e\u8303\u56f4\u8fd8\u662f\u4ece\u9898\u76ee\u6027\u8d28\u6765\u8bf4\uff0c\u90fd\u5e94\u8be5\u7528\u5230\u7ebf\u6bb5\u6811\u6c42\u89e3\u3002\u4f46\u662f\u7ebf\u6bb5\u6811\u6211\u53ea\u662f\u770b\u4e86\u4e2a\u539f\u7406\uff0c\u4ece\u6765\u6ca1\u5199\u8fc7\u9898\u3002\u867d\u7136\u8003\u573a\u4e0a\u4e34\u65f6\u78d5\u78d5\u7eca\u7eca\u5199\u4e86\u4e2a\u52c9\u5f3a\u80fd\u7528\uff0c\u4f46\u540e\u6765\u53d1\u73b0\u9898\u770b\u9519\u4e86\uff0c\u4e0d\u662f\u6c42\u533a\u95f4\u6700\u5c0f\u800c\u662f\u4ee5Ap\u4e3a\u754c\u3002\u4e5f\u4e0d\u4f1a\u8f6c\u5316\uff0c\u4e22\u4eba\u4e86\u2026\u2026<\/p>\n

F<\/h1>\n

\u9898\u76ee\u6709\u70b9\u957f\u8df3\u4e86\u2026\u2026\u5e94\u8be5\u662f\u56fe\u8bba\u9898\uff0c\u4e0d\u8fc7\u8bf4\u5b9e\u5728\u8df3\u4e86\u6709\u70b9\u540e\u6094\u3002\u56e0\u4e3a\u5f53\u65f6\u4ee5\u4e3aE\u3001G\u6211\u80fd\u5199\u7684\uff0c\u8c01\u77e5\u9053\u9898\u5168\u7406\u89e3\u9519\u4e86\u3002<\/p>\n

G<\/h1>\n

\u770b\u9898\u76ee\u76f4\u63a5\u60f3\u5230\u4e86P1880\u77f3\u5b50\u5408\u5e76\uff0c\u4e8e\u662f\u5c31\u6309\u7740\u533a\u95f4DP\u7684\u601d\u8def\u60f3\u3002\u7136\u800c\u5199\u5b8c\u53d1\u73b0\u8fc7\u4e0d\u4e86\u6837\u4f8b\uff0c\u8be2\u95ee\u540e\u610f\u8bc6\u5230\u5176\u5b9e\u662f\u9898\u610f\u7406\u89e3\u9519\u4e86\uff0c\u548c\u77f3\u5b50\u5408\u5e76\u8fd8\u662f\u6709\u533a\u522b\u7684\u3002\u7136\u800c\u5df2\u7ecf\u6d6a\u8d39\u4e86\u5927\u91cf\u65f6\u95f4\u2026\u2026\u77ed\u65f6\u95f4\u6ca1\u60f3\u597d\u600e\u4e48\u6539\u4e8e\u662f\u5c31\u8df3\u4e86\u3002<\/p>\n

H<\/h1>\n

\u627e\u89c4\u5f8b+\u6a21\u62df\u3002<\/p>\n

I<\/h1>\n

\u9898\u4e2d\u5f0f\u5b50\u63d0\u51fay\uff0c\u5f97\u5230\u53cd\u6bd4\u4f8b\u51fd\u6570\uff0cx\u3001y\u5e94\u8be5\u5206\u5c45y=x\u4e24\u4fa7\uff0c\u6240\u4ee5\u9898\u76ee\u53ef\u4ee5\u8f6c\u5316\u6210a+1~a+sqrt(a)\u4e0a\u7684\u641c\u7d22\u3002\u7136\u800c\u8003\u8651\u5230\u6570\u636e\u5927\u4e0d\u4e00\u5b9a\u8fc7\u3001\u5269\u4f59\u65f6\u95f4\u4e0d\u591a\uff0c\u4e8e\u662f\u5c31\u56de\u5934<\/del>\u770bJ\u3002<\/p>\n

J<\/h1>\n

\u867d\u7136\u611f\u89c9\u548c\u5947\u5076\u6709\u5173\uff0c\u4f46\u521a\u5f00\u59cbn=4\u7b97\u62107\u4e86\uff0c\u4e8e\u662f\u5e76\u6ca1\u6709\u627e\u51fa\u89c4\u5f8b\u3002\u8d2a\u5fc3\u6ca1\u601d\u8def\uff0cdp\u4e5f\u5199\u4e0d\u51fa\u8f6c\u79fb\u65b9\u7a0b\uff0c\u4e8e\u662f\u5c31\u6ca1\u518d\u60f3\u3002\u6700\u540e\u51e0\u5206\u949f\uff0c\u7b97\u4e86\u4e0b\u53d1\u73b0n=4\u5176\u5b9e\u662f6\uff0c\u731c\u6d4b\u5947\u5076\u9879\u662f\u4e24\u4e2ad=3\u7684\u7b49\u5dee\u6570\u5217\uff0c\u8bd5\u7740\u5199\u4e86\u4e0b\u5c31A\u4e86\u3002<\/p>\n

\u540e\u8bb0<\/h1>\n

\u8fd9\u6b21\u6bd4\u8d77\u5bd2\u5047\u6a21\u62df\uff0c\u4f4e\u6c34\u5e73\u9519\u8bef\u5c11\u4e86\u5f88\u591a\uff0c\u63d0\u4ea4\u90fd\u662f1\u904dA\uff0c\u8fd9\u662f\u8fdb\u6b65\u3002\u4f46\u662f\u540c\u65f6\u4e5f\u6df1\u523b\u611f\u5230\u81ea\u5df1\u5728\u77e5\u8bc6\u50a8\u5907\u65b9\u9762\u7684\u4e0d\u8db3\uff0c\u4ee5\u53ca\u4e34\u573a\u72b6\u51b5\u5904\u7406\u80fd\u529b\u7684\u7f3a\u5931\u3002\u80fd\u62ff\u5230Rank1\uff0c\u6211\u4e2a\u4eba\u89c9\u5f97\u8fd0\u6c14\u7684\u6210\u5206\u8f83\u5927\u3002\u5e0c\u671b\u80fd\u4ee5\u6b64\u52c9\u52b1\u81ea\u5df1\uff0c\u8fdb\u4e00\u6b65\u63d0\u9ad8\u5427\u3002<\/p>","protected":false},"excerpt":{"rendered":"

A 0-1\u80cc\u5305\u6a21\u677f\u9898\uff0c\u512a\u3057\u3044\u7684\u96be\u5ea6\u3002 B dp\u9898\uff0c\u770b\u7684\u65f6\u5019\u5f88\u773c\u719f\uff0c\u9a6c\u4e0a\u5c31\u60f3\u5230\u7c7b\u4f3c\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\u3002\u6bcf\u79cd\u72b6\u6001\u67093\u79cd … <\/p>\n

\u7ee7\u7eed\u9605\u8bfb\u201cJLU ACM \u65b0\u751f\u9009\u62d4\u8d5b\u601d\u8def\u7b14\u8bb0\u201d<\/span><\/a><\/p>","protected":false},"author":1,"featured_media":17,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-16","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-2","entry"],"_links":{"self":[{"href":"https:\/\/blog.kaaass.net\/acm\/wp-json\/wp\/v2\/posts\/16","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.kaaass.net\/acm\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.kaaass.net\/acm\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.kaaass.net\/acm\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.kaaass.net\/acm\/wp-json\/wp\/v2\/comments?post=16"}],"version-history":[{"count":0,"href":"https:\/\/blog.kaaass.net\/acm\/wp-json\/wp\/v2\/posts\/16\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blog.kaaass.net\/acm\/wp-json\/wp\/v2\/media\/17"}],"wp:attachment":[{"href":"https:\/\/blog.kaaass.net\/acm\/wp-json\/wp\/v2\/media?parent=16"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.kaaass.net\/acm\/wp-json\/wp\/v2\/categories?post=16"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.kaaass.net\/acm\/wp-json\/wp\/v2\/tags?post=16"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}