WC\u8bb2\u8fc7\u7684\u4e00\u4e2a\u9898<\/a>\u5dee\u4e0d\u591a\u3002\u770b\u94fe\u63a5\u4e2d\u7684\u8bfe\u4ef6\u91cc\u7684mst\u4e00\u9898\u3002<\/p>\n\u9996\u5148\u6ce8\u610f\u5230\uff0c\u7b54\u6848\u5c31\u662f\u6700\u5c0f\u74f6\u9888\u751f\u6210\u6811\uff08\u6700\u5927\u8fb9\u6700\u5c0f\u7684\u751f\u6210\u6811\uff09\u4e0a\u7684\u6700\u5927\u8fb9\u7684\u671f\u671b\u3002<\/p>\n
\u8fdb\u4e00\u6b65\u5206\u6790\u53ef\u4ee5\u6ce8\u610f\u5230\uff0c\u8003\u8651\u4e00\u4e2ax\uff0c\u5982\u679c<x\u7684\u8fb9\u5408\u8d77\u6765\u4e0d\u80fd\u4f7f\u5f97\u56fe\u8054\u901a\uff0c<=x\u7684\u8fb9\u5408\u8d77\u6765\u80fd\u591f\u4f7f\u5f97\u56fe\u8054\u901a\uff0c\u90a3\u4e48\u8fd9\u4e2a\u56fe\u7684\u6700\u5c0f\u74f6\u9888\u751f\u6210\u4e0a\u7684\u6700\u5927\u8fb9\u5c31\u662fx\u3002<\/p>\n
\u90a3\u4e48\uff0c\u7528WC\u8bb2\u8fc7\u7684\u540c\u6837\u7684\u65b9\u6cd5\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u591a\u9879\u5f0fP(x)\uff0c\u8868\u793a<x\u7684\u8fb9\u4e0d\u80fd\u4f7f\u5f97\u56fe\u8054\u901a\u7684\u6982\u7387\u3002<\/p>\n
\u90a3\u4e48\u6ce8\u610f\u5230\uff0c\u6211\u4eec\u53ea\u9700\u8981\u5bf9P(x)\u4ece0\u52301\u6c42\u79ef\u5206\u5c31\u662f\u7b54\u6848\u4e86\u3002\u4e3a\u4ec0\u4e48\u5462\uff1f\u56e0\u4e3aP(x)\u4e5f\u662f\u7b54\u6848>x\u7684\u6982\u7387\uff0c\u8fd9\u6837\u76f8\u5f53\u4e8e\u4e00\u4e2a\u5206\u90e8\u79ef\u5206\u3002<\/p>\n
\uff08\u8fd9\u6837\u8bf4\u53ef\u80fd\u5bf9\u4e8e\u4e0d\u719f\u6089\u5fae\u79ef\u5206\u7684\u540c\u5b66\u6765\u8bf4\u53ef\u80fd\u4e0d\u597d\u7406\u89e3\uff0c\u4e0d\u59a8\u8003\u8651\u79bb\u6563\u7684\u60c5\u51b5\u3002\u6bd4\u5982a\u67095\u79cd\u53d6\u503c,0,1,2,3,4\uff0c\u4ee4p[i]\u4e3aa\u7684\u53d6\u503c>i\u7684\u6982\u7387\uff0c\u90a3\u4e48EX[a]=sum p[i]\u3002\u8fd9\u91cc\u4e5f\u662f\u4e00\u6837\u7684\u9053\u7406\uff09<\/p>\n
Tree<\/h1>\n
\u5176\u5b9e\u8fd9\u4e2a\u9898\u76ee\u5e76\u4e0d\u96be\uff0c\u9898\u76ee\u7b49\u4ef7\u4e8e\u652f\u6301\u4fee\u6539\u70b9\u6743\u548c\u5bfb\u627e\u6574\u4e2a\u6811\u7684\u5e26\u6743\u91cd\u5fc3\u3002<\/p>\n
\u53ef\u4ee5\u8003\u8651\u4f7f\u7528\u70b9\u5206\u6cbb\u3002\u6ce8\u610f\u5230\u5982\u679c\u5f53\u524d\u5206\u6cbb\u70b9\u662fu\uff0c\u90a3\u4e48\u663e\u7136\uff0c\u6211\u4eec\u53ef\u4ee5\u5148\u770b\u770bu\u662f\u4e0d\u662f\u91cd\u5fc3\uff0c\u5982\u679c\u4e0d\u662f\uff0c\u90a3\u4e48\u91cd\u5fc3\u53ea\u53ef\u80fd\u5728u\u6700\u5927\u7684\u5b69\u5b50\u91cc\uff0c\u8fd9\u6837\u95ee\u9898\u5c31\u53d8\u6210\u4e86u\u7684\u4e00\u4e2a\u5b50\u5206\u6cbb\u7684\u5b50\u95ee\u9898\u3002<\/p>\n
\u5f53\u7136\u5bf9\u4e8e\u5b50\u5206\u6cbb\u6211\u4eec\u8fd8\u8981\u8003\u8651\u4eceu\u51fa\u53bb\u6574\u4e2a\u5916\u9762\u90e8\u5206\u7684\u5f71\u54cd\uff0c\u7531\u4e8e\u6811\u5206\u6cbb\u6700\u591a\u6709logn\u5c42\uff0c\u8fd9\u6837\u7684\u5f71\u54cd\u4e5f\u53ea\u6709logn\u4e2a\uff0c\u7b80\u5355\u7684\u5904\u7406\u5c31\u53ef\u4ee5\u4e86\u3002<\/p>\n
Substring<\/h1>\n
\u9996\u5148\u9898\u76ee\u4e2d\u6709\u4e00\u4e2a\u5173\u952e\u6761\u4ef6\u662f\u8bf4\u53f6\u5b50\u7684\u6570\u91cf\u4e0d\u8d85\u8fc720\u4e2a\u3002<\/p>\n
\u6211\u4eec\u4e0d\u59a8\u5bf9\u6bcf\u4e2a\u53f6\u5b50\u90fd\u4ee5\u5b83\u4e3a\u6839\u5efa\u4e00\u4e2aTrie\u3002<\/p>\n
\u90a3\u4e48\u6ce8\u610f\u5230\u6574\u4e2a\u6811\u7684\u4efb\u4f55\u4e00\u4e2a\u5b50\u4e32\uff0c\u90fd\u662f\u67d0\u4e2aTrie\u4e0a\u4ece\u4e00\u4e2a\u70b9\u5230\u5b83\u7684\u4e00\u4e2a\u5b50\u5b59\u7684\u8def\u5f84\u3002<\/p>\n
\u90a3\u4e48\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u8fd920\u4e2aTrie\u5408\u5e76\u6210\u4e00\u4e2a\u5927Trie\uff0c\u7136\u540e\u6c42\u8fd9\u4e2a\u5927Trie\u7684\u5b50\u4e32\u6570\u91cf\u5c31\u53ef\u4ee5\u4e86\uff08Trie\u7684\u5b50\u4e32\u6307\u7684\u662f\u4eceTrie\u4e2d\u4e00\u4e2a\u70b9\u5230\u5b83\u7684\u4e00\u4e2a\u5b50\u5b59\uff09\u3002<\/p>\n
\u8fd9\u53ef\u4ee5\u4f7f\u7528\u6bd4\u8f83\u7ecf\u5178\u7684\u540e\u7f00\u81ea\u52a8\u673a\u6216\u8005\u540e\u7f00\u6570\u7ec4\u5b9e\u73b0\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u9898\u76ee\uff1ahttp:\/\/pan.baidu.com\/s\/1c0uA9Sc \u6807\u7a0b\uff1ahttp:\/\/pan.baidu.com\/s\/1dDCj8bv \u6570\u636e\uff1ahttp:\/\/pan.baidu.com\/s\/1qWNs1Us Mst \u8fd9\u4e2a\u9898\u76ee\u662f\u7528\u6765\u9001\u5206\u7684\uff0c\u601d\u8def\u548c\u6211WC\u8bb2\u8fc7\u7684\u4e00\u4e2a\u9898\u5dee\u4e0d\u591a\u3002\u770b\u94fe\u63a5\u4e2d\u7684\u8bfe\u4ef6\u91cc\u7684mst\u4e00\u9898\u3002 \u9996\u5148\u6ce8\u610f\u5230\uff0c\u7b54\u6848\u5c31\u662f\u6700\u5c0f\u74f6\u9888\u751f\u6210\u6811\uff08\u6700\u5927\u8fb9\u6700\u5c0f\u7684\u751f\u6210\u6811\uff09\u4e0a\u7684\u6700\u5927\u8fb9\u7684\u671f\u671b\u3002 \u8fdb\u4e00\u6b65\u5206\u6790\u53ef\u4ee5\u6ce8\u610f\u5230\uff0c\u8003\u8651\u4e00\u4e2ax\uff0c\u5982\u679c<x\u7684\u8fb9\u5408\u8d77\u6765\u4e0d\u80fd\u4f7f\u5f97\u56fe\u8054\u901a\uff0c<=x\u7684\u8fb9\u5408\u8d77\u6765\u80fd\u591f\u4f7f\u5f97\u56fe\u8054\u901a\uff0c\u90a3\u4e48\u8fd9\u4e2a\u56fe\u7684\u6700\u5c0f\u74f6\u9888\u751f\u6210\u4e0a\u7684\u6700\u5927\u8fb9\u5c31\u662fx\u3002 \u90a3\u4e48\uff0c\u7528WC\u8bb2\u8fc7\u7684\u540c\u6837\u7684\u65b9\u6cd5\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u591a\u9879\u5f0fP(x)\uff0c\u8868\u793a<x\u7684\u8fb9\u4e0d\u80fd\u4f7f\u5f97\u56fe\u8054\u901a\u7684\u6982\u7387\u3002 \u90a3\u4e48\u6ce8\u610f\u5230\uff0c\u6211\u4eec\u53ea\u9700\u8981\u5bf9P(x)\u4ece0\u52301\u6c42\u79ef\u5206\u5c31\u662f\u7b54\u6848\u4e86\u3002\u4e3a\u4ec0\u4e48\u5462\uff1f\u56e0\u4e3aP(x)\u4e5f\u662f\u7b54\u6848>x\u7684\u6982\u7387\uff0c\u8fd9\u6837\u76f8\u5f53\u4e8e\u4e00\u4e2a\u5206\u90e8\u79ef\u5206\u3002 \uff08\u8fd9\u6837\u8bf4\u53ef\u80fd\u5bf9\u4e8e\u4e0d\u719f\u6089\u5fae\u79ef\u5206\u7684\u540c\u5b66\u6765\u8bf4\u53ef\u80fd\u4e0d\u597d\u7406\u89e3\uff0c\u4e0d\u59a8\u8003\u8651\u79bb\u6563\u7684\u60c5\u51b5\u3002\u6bd4\u5982a\u67095\u79cd\u53d6\u503c,0,1,2,3,4\uff0c\u4ee4p[i]\u4e3aa\u7684\u53d6\u503c>i\u7684\u6982\u7387\uff0c\u90a3\u4e48EX[a]=sum p[i]\u3002\u8fd9\u91cc\u4e5f\u662f\u4e00\u6837\u7684\u9053\u7406\uff09 Tree \u5176\u5b9e\u8fd9\u4e2a\u9898\u76ee\u5e76\u4e0d\u96be\uff0c\u9898\u76ee\u7b49\u4ef7\u4e8e\u652f\u6301\u4fee\u6539\u70b9\u6743\u548c\u5bfb\u627e\u6574\u4e2a\u6811\u7684\u5e26\u6743\u91cd\u5fc3\u3002 \u53ef\u4ee5\u8003\u8651\u4f7f\u7528\u70b9\u5206\u6cbb\u3002\u6ce8\u610f\u5230\u5982\u679c\u5f53\u524d\u5206\u6cbb\u70b9\u662fu\uff0c\u90a3\u4e48\u663e\u7136\uff0c\u6211\u4eec\u53ef\u4ee5\u5148\u770b\u770bu\u662f\u4e0d\u662f\u91cd\u5fc3\uff0c\u5982\u679c\u4e0d\u662f\uff0c\u90a3\u4e48\u91cd\u5fc3\u53ea\u53ef\u80fd\u5728u\u6700\u5927\u7684\u5b69\u5b50\u91cc\uff0c\u8fd9\u6837\u95ee\u9898\u5c31\u53d8\u6210\u4e86u\u7684\u4e00\u4e2a\u5b50\u5206\u6cbb\u7684\u5b50\u95ee\u9898\u3002 \u5f53\u7136\u5bf9\u4e8e\u5b50\u5206\u6cbb\u6211\u4eec\u8fd8\u8981\u8003\u8651\u4eceu\u51fa\u53bb\u6574\u4e2a\u5916\u9762\u90e8\u5206\u7684\u5f71\u54cd\uff0c\u7531\u4e8e\u6811\u5206\u6cbb\u6700\u591a\u6709logn\u5c42\uff0c\u8fd9\u6837\u7684\u5f71\u54cd\u4e5f\u53ea\u6709logn\u4e2a\uff0c\u7b80\u5355\u7684\u5904\u7406\u5c31\u53ef\u4ee5\u4e86\u3002 Substring \u9996\u5148\u9898\u76ee\u4e2d\u6709\u4e00\u4e2a\u5173\u952e\u6761\u4ef6\u662f\u8bf4\u53f6\u5b50\u7684\u6570\u91cf\u4e0d\u8d85\u8fc720\u4e2a\u3002 \u6211\u4eec\u4e0d\u59a8\u5bf9\u6bcf\u4e2a\u53f6\u5b50\u90fd\u4ee5\u5b83\u4e3a\u6839\u5efa\u4e00\u4e2aTrie\u3002 \u90a3\u4e48\u6ce8\u610f\u5230\u6574\u4e2a\u6811\u7684\u4efb\u4f55\u4e00\u4e2a\u5b50\u4e32\uff0c\u90fd\u662f\u67d0\u4e2aTrie\u4e0a\u4ece\u4e00\u4e2a\u70b9\u5230\u5b83\u7684\u4e00\u4e2a\u5b50\u5b59\u7684\u8def\u5f84\u3002 \u90a3\u4e48\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u8fd920\u4e2aTrie\u5408\u5e76\u6210\u4e00\u4e2a\u5927Trie\uff0c\u7136\u540e\u6c42\u8fd9\u4e2a\u5927Trie\u7684\u5b50\u4e32\u6570\u91cf\u5c31\u53ef\u4ee5\u4e86\uff08Trie\u7684\u5b50\u4e32\u6307\u7684\u662f\u4eceTrie\u4e2d\u4e00\u4e2a\u70b9\u5230\u5b83\u7684\u4e00\u4e2a\u5b50\u5b59\uff09\u3002 \u8fd9\u53ef\u4ee5\u4f7f\u7528\u6bd4\u8f83\u7ecf\u5178\u7684\u540e\u7f00\u81ea\u52a8\u673a\u6216\u8005\u540e\u7f00\u6570\u7ec4\u5b9e\u73b0\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/745"}],"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=745"}],"version-history":[{"count":1,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/745\/revisions"}],"predecessor-version":[{"id":747,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/745\/revisions\/747"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=745"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=745"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=745"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}