{"id":55,"date":"2011-09-04T02:12:45","date_gmt":"2011-09-03T18:12:45","guid":{"rendered":"http:\/\/www.shuizilong.com\/house\/?p=55"},"modified":"2012-03-03T05:24:16","modified_gmt":"2012-03-02T21:24:16","slug":"uva-12041-bfs-binary-fibonacci-string","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/house\/archives\/uva-12041-bfs-binary-fibonacci-string\/","title":{"rendered":"UVa 12041. BFS (Binary Fibonacci String)"},"content":{"rendered":"<p>\u3002\u3002\u597d\u9ad8\u6b23\u3002\u3002\u4eca\u665a\u89e3\u51b3\u6389\u4e86\u4e00\u4e2a Daizhenyang \u95ee\u9898\u3002\u3002\u3002>_< \uff09\n\n\n\n<h3>Brief description:<\/h3>\n<p>\u6c42\u7b2c n \u4e2a <a href=\"http:\/\/en.wikipedia.org\/wiki\/Fibonacci_word\">Fibnacci Word<\/a> \u7684 [l, r] \u4f4d\u7f6e\u7684\u5b57\u7b26\u5206\u522b\u662f\u591a\u5c11\u3002<br \/>\n( .. n, l, r <= 2^31 - 1 .. .)\n\n<!--more--><\/p>\n<h3>Analysis:<\/h3>\n<p>\u3002\u3002\u524d\u51e0\u5929\u7ffb\u7bb1\u7684\u65f6\u5019\u8bfb\u5230\u4e86\u8fd9\u4e2a\u4e1c\u897f\uff0c\u8c8c\u4f3c\u662f\u7528\u6765\u7ed9\u4e00\u4e9b\u5b57\u7b26\u4e32\u7b97\u6cd5\u6784\u9020\u4e13\u6740\u6570\u636e\u7528\u7684 >_<\u3002\n\uff08\u5c31\u5982\u540c Fibnacci \u6570\u5bf9\u4e8e\u6b27\u51e0\u91cc\u5f97\u7b97\u6cd5\u65f6\u4e00\u6837.. \uff09\n\n\u6240\u4ee5\u6628\u5929\u591c\u91cc DIY \u6709\u4eba\u95ee\u8fd9\u4e2a\u95ee\u9898\u7684\u65f6\u5019\uff0c\u6211\u4e5f\u7279\u522b\u7559\u610f\u4e86\u4e00\u4e0b... \n\n\u8fd8\u662f\u4ece\u9012\u5f52\u548c\u5206\u578b\u7684\u89d2\u5ea6\u7740\u624b\uff0cKey Observation is ... \nFibnacci \u6570\u5217\u672c\u8eab\u4f1a\u5448\u6307\u6570\u589e\u957f\uff0c\u6240\u4ee5\u8fc7\u5927\u7684 n \u5bf9\u4e8e\u8fd9\u4e2a\u95ee\u9898\u6ca1\u6709\u610f\u4e49\u3002\n\n\n\n[cpp]\nconst int N = 48;\nLL F[N];\n\nvoid gao(int n, LL l, LL r){\n\n    if (r &lt; l) return;\n\n    if (n == 0) printf(&quot;0&quot;);\n    else if (n == 1) printf(&quot;1&quot;);\n    else {\n        if (l &lt; F[n-2]){\n            gao(n-2, l, min(r, F[n-2] - 1));\n            gao(n-1, 0, r - F[n-2]);\n        }\n        else {\n            gao(n-1, l - F[n-2], r - F[n-2]);\n        }\n    }\n}\n\nint n, l, r;\n\nint main(){\n\n    F[0] = 1, F[1] = 1;\n    FOR(i, 2, N) F[i] = F[i-1] + F[i-2];\n\n    Rush{\n        RD(n, l, r); if (n &gt;= N) n = N - (n &amp; 1);\n        gao(n, l, r); puts(&quot;&quot;);\n    }\n}\n\n[\/cpp]\n\n(.. \u8c8c\u4f3c\u6570\u636e\u7a0d\u5fae\u6709\u4e9b\u7206 int .. )\n\n\n\n<h3>External link: <\/h3>\n<p><a href=\"http:\/\/uva.onlinejudge.org\/index.php?option=com_onlinejudge&#038;Itemid=8&#038;category=242&#038;page=show_problem&#038;problem=3192\">http:\/\/uva.onlinejudge.org\/index.php?option=com_onlinejudge&#038;Itemid=8&#038;category=242&#038;page=show_problem&#038;problem=3192<\/a><br \/>\n<a href=\"http:\/\/poj.org\/problem?id=1322\">POJ 1322. Chocolate<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3002\u3002\u597d\u9ad8\u6b23\u3002\u3002\u4eca\u665a\u89e3\u51b3\u6389\u4e86\u4e00\u4e2a Daizhenyang \u95ee\u9898\u3002\u3002\u3002>_< \uff09 Brief description: \u6c42\u7b2c n \u4e2a Fibnacci Word \u7684 [l, r] \u4f4d\u7f6e\u7684\u5b57\u7b26\u5206\u522b\u662f\u591a\u5c11\u3002 ( .. n, l, r\n<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[31],"tags":[41],"class_list":["post-55","post","type-post","status-publish","format-standard","hentry","category-uva","tag-41"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p2tdP7-T","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/55","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/comments?post=55"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/55\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/media?parent=55"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/categories?post=55"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/tags?post=55"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}