{"id":405,"date":"2022-10-06T20:50:29","date_gmt":"2022-10-06T12:50:29","guid":{"rendered":"https:\/\/blog.cirno.fun\/?p=405"},"modified":"2024-09-12T09:31:38","modified_gmt":"2024-09-12T01:31:38","slug":"405","status":"publish","type":"post","link":"https:\/\/blog.sssn.tech\/?p=405","title":{"rendered":"\u5feb\u901f\u7684\uff0c\u52a8\u6001\u7684\u533a\u95f4\u6c42\u548c\u95ee\u9898\u2014\u2014\u6811\u72b6\u6570\u7ec4"},"content":{"rendered":"<p>\u6811\u72b6\u6570\u7ec4\u662f\u4e00\u4e2a\u4f2a\u4e8c\u53c9\u6811\u6570\u636e\u7ed3\u6784\uff0c\u5176\u67e5\u8be2\u4e0e\u4fee\u6539\u7684\u4ee3\u4ef7\u5747\u4e3a<code>O(N\\log N)<\/code>\uff0c\u5176\u57fa\u672c\u7528\u9014\u662f\u67e5\u8be2\u4efb\u610f\u533a\u95f4\u548c<\/p>\n<p>\u6811\u72b6\u6570\u7ec4\u548c\u7ebf\u6bb5\u6811\u5f88\u50cf\uff0c\u4f46\u662f\u76f8\u8f83\u800c\u8a00\u6811\u72b6\u6570\u7ec4\u7684\u6548\u7387\u4e0e\u4ee3\u7801\u91cf\u90fd\u4f18\u4e8e\u7ebf\u6bb5\u6811\uff0c\u4f5c\u4e3a\u4ee3\u4ef7\uff0c\u5176\u80fd\u89e3\u51b3\u7684\u95ee\u9898\u8303\u56f4\u4e0d\u5982\u7ebf\u6bb5\u6811\u5e7f\u6cdb<\/p>\n<p>\u6811\u72b6\u6570\u7ec4\u7684\u57fa\u672c\u601d\u60f3\u662f\uff1a\u5bf9\u4e8e\u539f\u6570\u7ec4A[]\uff0c\u7528\u4e00\u4e2a\u6570\u7ec4C[]\u6765\u7ef4\u62a4\u539f\u6570\u7ec4\u7279\u5b9a\u533a\u95f4\u7684\u548c\uff0c\u4e14C[ i ]\u5bf9\u5e94\u7684\u533a\u95f4\u662f<code>2^k<\/code>\uff0ck\u662fi\u6240\u5bf9\u5e94\u7684\u7684\u4e8c\u8fdb\u5236\u7801\u7684\u672b\u5c3e0\u7684\u4e2a\u6570\u3002\u5229\u7528\u4e8c\u8fdb\u5236\u8865\u7801\u7684\u7279\u6027\u53ef\u4ee5\u8fc5\u901f\u6c42\u51faC[ i ]\u7684\u7ba1\u8f96\u8303\u56f4<\/p>\n<pre><code class=\"language-cpp\">int low(int i){\n    return i&amp;-i;\n}<\/code><\/pre>\n<p>\u5982\u679c\u8981\u63d2\u5165\u4e00\u4e2a\u6570\uff0c\u5219\u5bf9\u5e94\u7684\u64cd\u4f5c\u65f6\u6240\u6709\u5305\u62ec\u63d2\u5165\u4f4d\u7f6e\u7684\u533a\u95f4\u90fd\u8981\u589e\u52a0<\/p>\n<pre><code class=\"language-cpp\">void add(int i,int x){\n    \/\/\u5728\u539f\u6570\u7ec4i\u4f4d\u7f6e\u63d2\u5165x\n    while(i&lt;=n)\n        c[i]+=x,i+=low(i);\n}<\/code><\/pre>\n<p>\u6c42\u533a\u95f4\u548c\u65f6\u5019\uff0c\u5219\u8981\u5c06\u6240\u6c42\u533a\u95f4\u5206\u6210\u4e0d\u540c\u7684\u6709\u6548\u7ba1\u8f96\u533a\u95f4\u6c42\u548c<\/p>\n<pre><code class=\"language-cpp\">int sum(int i){\n    int s=0;\n    while(i)s+=c[i],i-=low(i);\n    return s;\n}<\/code><\/pre>\n<p>\u81f3\u6b64\u4fbf\u662f\u6811\u72b6\u6570\u7ec4\u7684\u57fa\u672c\u64cd\u4f5c\u5185\u5bb9\u4e86<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6811\u72b6\u6570\u7ec4\u662f\u4e00\u4e2a\u4f2a\u4e8c\u53c9\u6811\u6570\u636e\u7ed3\u6784\uff0c\u5176\u67e5\u8be2\u4e0e\u4fee\u6539\u7684\u4ee3\u4ef7\u5747\u4e3aO(N\\log N)\uff0c\u5176\u57fa [&#8230;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-405","post","type-post","status-publish","format-standard","hentry","category-2"],"_links":{"self":[{"href":"https:\/\/blog.sssn.tech\/index.php?rest_route=\/wp\/v2\/posts\/405","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.sssn.tech\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.sssn.tech\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.sssn.tech\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.sssn.tech\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=405"}],"version-history":[{"count":1,"href":"https:\/\/blog.sssn.tech\/index.php?rest_route=\/wp\/v2\/posts\/405\/revisions"}],"predecessor-version":[{"id":739,"href":"https:\/\/blog.sssn.tech\/index.php?rest_route=\/wp\/v2\/posts\/405\/revisions\/739"}],"wp:attachment":[{"href":"https:\/\/blog.sssn.tech\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=405"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.sssn.tech\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=405"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.sssn.tech\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=405"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}