{"id":329,"date":"2010-08-02T13:16:00","date_gmt":"2010-08-02T05:16:00","guid":{"rendered":"http:\/\/localhost\/?p=329"},"modified":"2010-08-02T13:16:00","modified_gmt":"2010-08-02T05:16:00","slug":"noi_day1_","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/wjmzbmr\/?p=329","title":{"rendered":"NOI Day1\u3002\u3002\u3002"},"content":{"rendered":"

\u6211\u53c2\u52a0\u7684\u662f\u7f51\u4e0a\u516c\u5f00\u8d5b\u56e7\u3002\u3002\u4e0d\u8fc7\u6bd4\u8d5b\u8fd8\u6ca1\u7ed3\u675f\u5c31\u5199\u8fd9\u4e2a\u4f1a\u4e0d\u4f1a\u5224\u4f5c\u5f0a\u554a\u56e7\u3002\u3002
Problem 1
\u9898\u610f\u5c31\u662f\u5bf9\u6240\u67091<=i<=n,1<=j<=m\u7b97\u51fa(i,j)*2-1\u7684\u548c
\u989d\u3002\u3002\u7687\u4e0a\uff0c\u8fd8\u8bb0\u5f97\u5927\u660e\u6e56\u7554\u7684\u3002\u3002\u3002
\u989d\u3002\u662fPOI\u7684ZAP\u4e48\u3002\u3002
\u679a\u4e3e(i,j)\u7528\u4e00\u6837\u7684\u65b9\u6cd5\u7b97\u51fa\u8fd9\u6837\u7684\u5bf9\u6570\uff0c\u5c31OK\u4e86\u3002\u3002
\u597d\u5427\u66b4\u529b\u53ef\u4ee5\u62ff80\u5206\u3002\u3002\u6c57\u3002\u3002
Problem 2
\u6069\u3002\u3002\u8fd9\u9898\u975e\u5e38\u7684\u7325\u7410\u554a\u3002\u3002
\u5148\u6c42\u51fa\u524d\u7f00\u548c\u3002\u3002\u8bbe\u4e3aS\u597d\u4e86\u3002\u3002
\u8003\u8651\u533a\u95f4(l,r]\u56fa\u5b9ar\u90a3\u4e48l\u7684\u8303\u56f4\u5c31\u662f[r-R,r-L]\u3002\u3002
\u7136\u540e\u5982\u679c\u80fd\u5bf9\u6bcf\u4e2ar\u7528\u4e00\u79cd\u529e\u6cd5\u53ef\u4ee5\u5f97\u51fa\u4e0b\u4e00\u4e2a\u6700\u5927\u7684\u4ee5r\u7ed3\u5c3e\u7684\u533a\u95f4\u6743\u503c\u7684\u8bdd\uff0c\u5c31\u53ef\u4ee5\u7528\u7c7b\u4f3c\u8868\u5f52\u5e76\u7684
\u529e\u6cd5\u641e\u51fa\u524dK\u5927\u533a\u95f4\u4e86\u3002\u3002
\u6743\u503c\u548c\u7b49\u4e8eS[r]-S[l]\u3002\u3002\u6545\u53ea\u9700\u8981\u7528\u533a\u95f4K\u5927\u503c\u7684\u529e\u6cd5\u6765\u7ef4\u62a4\u3002\u3002\u3002
\u4f46\u6570\u636e\u8303\u56f4\u5f88\u5927\u554a\u3002\u3002\u3002
\u6211\u4e00\u5f00\u59cb\u5199\u4e86\u4e2aLogN^2\u7684\uff0c\u624b\u6d4bTLE\u56e7\u3002\u3002
\u7136\u540e\u5728\u7b2c\u4e09\u9898\u6beb\u65e0\u601d\u8def\u7684\u60c5\u51b5\u4e0b\u8c41\u51fa\u53bb\u4e86\u3002\u3002\u5199\u4e86\u4e2a\u5212\u5206\u6811\u3002\u3002\u81ea\u5df1\u673a\u5b50\u4e0a\u6700\u5927\u6570\u636e2s\u591a\u4e00\u70b9\u3002\u3002\u6d4b\u8bc4\u673a\u5e94\u8be5\u6bd4\u6211\u7535\u8111\u5f3a\u5427\u56e7\u3002\u3002\u3002
\u5173\u952e\u662f\u8fd9\u91cc\u6240\u6709\u67e5\u8be2\u533a\u95f4\u7684\u957f\u5ea6\u90fd\u662f\u4e00\u6837\u6ef4\u3002\u3002\u4e0d\u8fc7\u6211\u4e0d\u77e5\u9053\u600e\u4e48\u7528\u54ce\u3002\u3002\u3002
Problem 3
\u8fd9\u9898\u6211\u7eaf\u5c5e\u76f4\u89c9\uff0c\u9996\u5148\u6240\u6709\u70b9\u9ad8\u5ea6\u5728[0,1]\u3002\u3002\u7136\u540e\u6211\u6839\u636e\u76f4\u89c9\u5f3a\u884c\u8ba4\u4e3a\u6240\u6709\u70b9\u8981\u4e480\u8981\u4e481\uff08\u5c31\u53ef\u4ee5\u6700\u5c0f\u5272\u4e86\u3002\u3002\u5426\u5219\u6ca1\u6cd5\u505a\u554a\u3002\u3002\uff09\u3002\u3002\u7136\u540e\u53d1\u73b0\u6700\u5c0f\u5272\u5bf9\u4e8e\u6700\u5927\u6570\u636e\u4f1aTLE\u3002\u3002\u5f88\u660e\u663e\u53ef\u4ee5\u60f3\u5230\u516b\u4e2dOJ\u7684\u7b2c\u4e8c\u9898\u3002\u3002\u8003\u8651\u8f6c\u5316\u6210\u5bf9\u5076\u56fe\u3002\u3002\u6211\u6beb\u65e0\u6839\u636e\u7684\u629b\u5f03\u540e\u4e00\u534a\u8f93\u5165\u6570\u636e\u3002\u3002\u7136\u540e\u5efa\u4e2a\u56fe\u5199\u4e86\u4e2aDijstra\u3002\u3002\u4e3a\u6b64\u81ea\u5df1\u624b\u5199\u4e86\u4e2aVector\uff0c\u624b\u5199\u4e86\u4e2aHeap\u56e7\u3002\u3002\u3002\u7136\u540e\u5199\u4e86\u4e2a\u7f51\u7edc\u6d41\u5bf9\u62cd\u3002\u3002\u53d1\u73b0\u6ca1\u4ec0\u4e48\u95ee\u9898\u3002\u3002\u4e8e\u662f\u5c31\u4ea4\u6389\u4e86\u3002\u3002\u3002 <\/p>\n","protected":false},"excerpt":{"rendered":"

\u6211\u53c2\u52a0\u7684\u662f\u7f51\u4e0a\u516c\u5f00\u8d5b\u56e7\u3002\u3002\u4e0d\u8fc7\u6bd4\u8d5b\u8fd8\u6ca1\u7ed3\u675f\u5c31\u5199\u8fd9\u4e2a\u4f1a\u4e0d\u4f1a\u5224\u4f5c\u5f0a\u554a\u56e7\u3002\u3002Problem 1\u9898\u610f\u5c31\u662f\u5bf9\u6240\u67091<=i<=n,1<=j<=m\u7b97\u51fa(i,j)*2-1\u7684\u548c\u989d\u3002\u3002\u7687\u4e0a\uff0c\u8fd8\u8bb0\u5f97\u5927\u660e\u6e56\u7554\u7684\u3002\u3002\u3002\u989d\u3002\u662fPOI\u7684ZAP\u4e48\u3002\u3002\u679a\u4e3e(i,j)\u7528\u4e00\u6837\u7684\u65b9\u6cd5\u7b97\u51fa\u8fd9\u6837\u7684\u5bf9\u6570\uff0c\u5c31OK\u4e86\u3002\u3002\u597d\u5427\u66b4\u529b\u53ef\u4ee5\u62ff80\u5206\u3002\u3002\u6c57\u3002\u3002Problem 2\u6069\u3002\u3002\u8fd9\u9898\u975e\u5e38\u7684\u7325\u7410\u554a\u3002\u3002\u5148\u6c42\u51fa\u524d\u7f00\u548c\u3002\u3002\u8bbe\u4e3aS\u597d\u4e86\u3002\u3002\u8003\u8651\u533a\u95f4(l,r]\u56fa\u5b9ar\u90a3\u4e48l\u7684\u8303\u56f4\u5c31\u662f[r-R,r-L]\u3002\u3002\u7136\u540e\u5982\u679c\u80fd\u5bf9\u6bcf\u4e2ar\u7528\u4e00\u79cd\u529e\u6cd5\u53ef\u4ee5\u5f97\u51fa\u4e0b\u4e00\u4e2a\u6700\u5927\u7684\u4ee5r\u7ed3\u5c3e\u7684\u533a\u95f4\u6743\u503c\u7684\u8bdd\uff0c\u5c31\u53ef\u4ee5\u7528\u7c7b\u4f3c\u8868\u5f52\u5e76\u7684\u529e\u6cd5\u641e\u51fa\u524dK\u5927\u533a\u95f4\u4e86\u3002\u3002\u6743\u503c\u548c\u7b49\u4e8eS[r]-S[l]\u3002\u3002\u6545\u53ea\u9700\u8981\u7528\u533a\u95f4K\u5927\u503c\u7684\u529e\u6cd5\u6765\u7ef4\u62a4\u3002\u3002\u3002\u4f46\u6570\u636e\u8303\u56f4\u5f88\u5927\u554a\u3002\u3002\u3002\u6211\u4e00\u5f00\u59cb\u5199\u4e86\u4e2aLogN^2\u7684\uff0c\u624b\u6d4bTLE\u56e7\u3002\u3002\u7136\u540e\u5728\u7b2c\u4e09\u9898\u6beb\u65e0\u601d\u8def\u7684\u60c5\u51b5\u4e0b\u8c41\u51fa\u53bb\u4e86\u3002\u3002\u5199\u4e86\u4e2a\u5212\u5206\u6811\u3002\u3002\u81ea\u5df1\u673a\u5b50\u4e0a\u6700\u5927\u6570\u636e2s\u591a\u4e00\u70b9\u3002\u3002\u6d4b\u8bc4\u673a\u5e94\u8be5\u6bd4\u6211\u7535\u8111\u5f3a\u5427\u56e7\u3002\u3002\u3002\u5173\u952e\u662f\u8fd9\u91cc\u6240\u6709\u67e5\u8be2\u533a\u95f4\u7684\u957f\u5ea6\u90fd\u662f\u4e00\u6837\u6ef4\u3002\u3002\u4e0d\u8fc7\u6211\u4e0d\u77e5\u9053\u600e\u4e48\u7528\u54ce\u3002\u3002\u3002Problem 3\u8fd9\u9898\u6211\u7eaf\u5c5e\u76f4\u89c9\uff0c\u9996\u5148\u6240\u6709\u70b9\u9ad8\u5ea6\u5728[0,1]\u3002\u3002\u7136\u540e\u6211\u6839\u636e\u76f4\u89c9\u5f3a\u884c\u8ba4\u4e3a\u6240\u6709\u70b9\u8981\u4e480\u8981\u4e481\uff08\u5c31\u53ef\u4ee5\u6700\u5c0f\u5272\u4e86\u3002\u3002\u5426\u5219\u6ca1\u6cd5\u505a\u554a\u3002\u3002\uff09\u3002\u3002\u7136\u540e\u53d1\u73b0\u6700\u5c0f\u5272\u5bf9\u4e8e\u6700\u5927\u6570\u636e\u4f1aTLE\u3002\u3002\u5f88\u660e\u663e\u53ef\u4ee5\u60f3\u5230\u516b\u4e2dOJ\u7684\u7b2c\u4e8c\u9898\u3002\u3002\u8003\u8651\u8f6c\u5316\u6210\u5bf9\u5076\u56fe\u3002\u3002\u6211\u6beb\u65e0\u6839\u636e\u7684\u629b\u5f03\u540e\u4e00\u534a\u8f93\u5165\u6570\u636e\u3002\u3002\u7136\u540e\u5efa\u4e2a\u56fe\u5199\u4e86\u4e2aDijstra\u3002\u3002\u4e3a\u6b64\u81ea\u5df1\u624b\u5199\u4e86\u4e2aVector\uff0c\u624b\u5199\u4e86\u4e2aHeap\u56e7\u3002\u3002\u3002\u7136\u540e\u5199\u4e86\u4e2a\u7f51\u7edc\u6d41\u5bf9\u62cd\u3002\u3002\u53d1\u73b0\u6ca1\u4ec0\u4e48\u95ee\u9898\u3002\u3002\u4e8e\u662f\u5c31\u4ea4\u6389\u4e86\u3002\u3002\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[10],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/329"}],"collection":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=329"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/329\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=329"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=329"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=329"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}