{"id":972,"date":"2014-09-18T02:07:30","date_gmt":"2014-09-17T18:07:30","guid":{"rendered":"http:\/\/www.shuizilong.com\/house\/?p=972"},"modified":"2014-09-18T02:08:26","modified_gmt":"2014-09-17T18:08:26","slug":"minimum-bounded-degree-spanning-tree","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/house\/archives\/minimum-bounded-degree-spanning-tree\/","title":{"rendered":"\u6700\u5c0f\u5ea6\u9650\u5236\u751f\u6210\u6811"},"content":{"rendered":"

<\/p>\n

http:\/\/codeforces.com\/gym\/100227\/submission\/4751186<\/a>
\nhttp:\/\/www.csie.ntnu.edu.tw\/~u91029\/SpanningTree.html<\/a><\/p>\n

\u7ea6\u5b9a\u7ed3\u70b9 1 \u4e3a\u5ea6\u9650\u5236\u7684\u7ed3\u70b9\u3002\u3002\u5ea6\u9650\u5236\u4e3a\u81f3\u591a K\u3002<\/p>\n

\u5148\u4e0d\u8003\u8651\u8fd9\u4e2a\u7ed3\u70b9\uff0c\u6c42\u751f\u6210\u68ee\u6797\u3002\uff08Kruskal \u7684\u8bdd\u8fd8\u662f\u4e00\u8d9f\u3002\uff09\u3002\u4e4b\u540e\u4ece 1 \u5f00\u59cb\u5411\u6bcf\u4e2a\u68ee\u6797\u8fde\u8fb9\uff08dfs1\uff09
\n\u3002\u5219\u7b2c\u4e00\u9636\u6bb5\u7ed3\u675f\u540e 1 \u3002\u6211\u4eec\u5f97\u5230\u4e86\u4e00\u4e2a\u5ea6\u9650\u5236\u4e3a K0 \u7684\u6700\u5c0f\u751f\u6210\u6811\u3002\u3002\uff08\u521d\u59cb\u751f\u6210\u68ee\u6797\u7684\u8fde\u901a\u5757\u4e2a\u6570\uff09
\n\u8981\u60f3\u8fdb\u4e00\u6b65\u5f97\u5230\u5ea6\u9650\u5236\u4e3a K \u7684\u6700\u5c0f\u751f\u6210\u6811\uff0c\u8fd8\u9700\u8981\u8fdb\u884c K – K0 \u6b21 \u201c\u5dee\u989d\u6700\u5c0f\u6dfb\u5220\u64cd\u4f5c” …<\/p>\n

… \u5176\u5b9e\u5c31\u662f\u8d2a\u5fc3\u66ff\u6362\u3001\u3001\u3002\u3002\u8bbe w1[u] \u4e3a u \u7ed3\u70b9\u8fde\u5230\u6839\u7ed3\u70b9\u7684\u8fb9\u7684\u6743\u503c\uff08\u53ef\u80fd\u8f93\u5165\u7684\u65f6\u5019\u6709\u91cd\u8fb9\u3002\u3002\u4fdd\u7559\u6700\u5c0f\u7684\u3002\uff09
\n\u3002 \u4ece\u6839\u7ed3\u70b9 dfs2 \u4e0b\u53bb\u3002\u3002\u5f97\u5230\u6bcf\u4e2a\u7ed3\u70b9\u5230\u6839\u7ed3\u70b9\u8def\u5f84\u5220\u6700\u5927\u7684\u8fb9\u7684\u6743\u503c\u548c\u7f16\u53f7\u3002mx[u], si[u]\u3002
\n\u3002\u3002\u5219\u9009\u62e9 u \u7ed3\u70b9\u8fdb\u884c\u66ff\u6362\u7684\u8bdd\u3002\u3002\u4ea7\u751f\u7684\u6536\u76ca\u5c31\u662f mx[u] – w1[u] \u3002\u3002\u3002\u679a\u4e3e\u6bcf\u4e2a\u7ed3\u70b9\u3002\u3002\u627e\u51fa\u6536\u76ca\u6700\u5927\u7684\u3002
\n\u3002\u3002\u8fed\u4ee3 K – K0 \u6b21\u5373\u53ef\u3002\u3002\uff08\u82e5\u67d0\u8f6e\u6536\u76ca\u5df2\u7ecf\u4e3a 0\u3002\u3002\u5219\u53ef\u76f4\u63a5 break \u6389\u3002\u3002\uff09<\/p>\n

\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014
\n\u5b9e\u73b0\u8fc7\u7a0b\u4e2d\u9700\u8981\u4e00\u4e2a\u8fb9\u8868\u7528\u6765\u8dd1 Kruskal \u3002\u3002
\n\u4e00\u4e2a\u652f\u6301 del \u64cd\u4f5c\u7684\u624b\u5199\u90bb\u63a5\u8868\u3001\u3002\u3002\u3002<\/p>\n

\r\n    inline void del(int i){\r\n        if (!prd[i]) prd[hd[aa] = suc[i]] = 0;\r\n        else suc[prd[suc[i]] = prd[i]] = suc[i];\r\n    }\r\n\r\n    inline void dell(int i){\r\n        del(i), del(i^1);\r\n    }\r\n\r\n    inline void add(int x, int y, int w){\r\n        ww[m>>1] = w, prd[hd[x]] = m, suc[m] = hd[x], hd[x] = m, to[m++] = y;\r\n        swap(x, y), prd[hd[x]] = m, suc[m] = hd[x], hd[x] = m, to[m++] = y;\r\n    }\r\n<\/pre>\n
\/\/if (!prd[i]) prd[hd[aa] = suc[i]] = 0;
\n\uff08\u8fd9\u4e2a\u5224\u65ad\u4e4b\u524d\u90fd\u662f\u5199\u7684\u662f hd[aa]  == i \u3002\u3002\u3002\u5982\u679c\u5199\u6210 !prd[i] \u7684\u8bdd\u3002\u3002\u5219\u8fd9\u4e00\u90e8\u5fc5\u987b\u628a prd [] = 0 \u4e5f\u5f97\u7ef4\u62a4\u6389\u3002\u3002\u3002\u3002
\n\uff08\u3002\u3002\u7528\u524d\u8005\u7684\u8bdd\u4e0d\u7ef4\u62a4\u4e5f\u884c\u3002\u3002\u603b\u4e4b\u6572\u7684\u65f6\u5019\u4e0d\u591a\u52a0\u5c0f\u5fc3\u7684\u8bdd\u662f\u4e0d\u884c\u7684\u5462\u3001\u3002\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"","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":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[1],"tags":[],"class_list":["post-972","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p2tdP7-fG","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/972","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=972"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/posts\/972\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/media?parent=972"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/categories?post=972"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/house\/wp-json\/wp\/v2\/tags?post=972"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}