{"id":324,"date":"2010-07-27T22:52:00","date_gmt":"2010-07-27T14:52:00","guid":{"rendered":"http:\/\/localhost\/?p=324"},"modified":"2010-07-27T22:52:00","modified_gmt":"2010-07-27T14:52:00","slug":"massive_tree","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/wjmzbmr\/?p=324","title":{"rendered":"\u5757\u72b6\u6811"},"content":{"rendered":"<p> \u6700\u8fd1\u8fc7\u4e8e\u9893\u5e9f\u4e00\u76f4\u62d6\u7740\u8fd9\u7bc7\u5c0f\u8bba\u6587\u56e7\u3002\u3002\u4eca\u5929\u603b\u7b97\u4e0d\u9893\u5e9f\u4e86\u3002\u3002\u5199\u4e0b\u5427\u3002\u3002<br \/>\u79f0\u6811\u7684\u4e00\u4e2a\u8054\u901a\u7684\u9876\u70b9\u5b50\u96c6\u4e3a\u6811\u5757\uff0c\u4e00\u4e2a\u6811\u5757\u7684\u6839\u5c31\u662f\u8fd9\u4e2a\u6811\u5757\u4e2d\u6df1\u5ea6\u6700\u5c0f\u7684\u9876\u70b9\uff0c\u90a3\u4e48\u5982\u679c\u5c06\u6811\u5212\u5206\u6210\u4e00\u4e9b\u6811\u5757<br \/>\u6709\u5982\u4e0b\u5b9a\u7406\uff1a<br \/>\u5bf9\u4e8e\u4e24\u4e2a\u9876\u70b9\uff0c(1)\u82e5\u4ed6\u4eec\u5c5e\u4e8e\u76f8\u540c\u7684\u6811\u5757\uff0c\u90a3\u4e48Lca\u80af\u5b9a\u5728\u8be5\u6570\u5757\u4e2d\uff0c(2)\u5982\u679c\u5c5e\u4e8e\u4e0d\u76f8\u540c\u7684\u6811\u5757\uff0cLca\u80af\u5b9a\u4e0d\u5728\u6811\u5757\u7684\u6839\u8f83\u6d45\u7684\u90a3\u4e2a\u6811\u5757\u4e2d\u3002\u3002\u3002<br \/>\u8bc1\u660e\uff1a(1)\u5e9f\u8bdd<br \/>(2)\uff1a\u5426\u5219Lca\u5c31\u4f1a\u5728\u53e6\u4e00\u4e2a\u9876\u70b9\u4e0e\u5176\u6811\u5757\u7684\u6839\u7684\u8def\u5f84\u4e0a\uff0c\u4e0eLca\u5c5e\u4e8e\u8f83\u6d45\u7684\u90a3\u4e2a\u6811\u5757\u77db\u76fe\u3002\u3002<br \/>\u73b0\u5728\u4ee5QTREE\u4e3a\u8003\u8651\u7684\u95ee\u9898\u3002\u3002<br \/>\u8003\u8651QTREE\uff0c\u5982\u679c\u5bf9\u6bcf\u4e2a\u70b9\u90fd\u7ef4\u62a4\u5176\u5230\u5176\u6811\u5757\u7684\u6839\u7684\u8def\u5f84\u4e0a\u6700\u5927\u8fb9\u6743\uff0c\u90a3\u4e48\u6211\u4eec\u7684\u8be2\u95ee\u5c31\u53ef\u4ee5\u7528\u4ee5\u4e0b\u65b9\u6cd5\u5b8c\u6210\u3002\u3002<br \/>\u8bbe\u5f53\u524d\u9876\u70b9\u662fu\u3001v<br \/>\u82e5\u5728\u540c\u4e00\u6811\u5757\u4e2d\uff0c\u76f4\u63a5\u66b4\u529b..<br \/>\u5426\u5219\u53ef\u4ee5\u4f7f\u7528\u7ef4\u62a4\u7684\u4fe1\u606f\u8df3\u8fc7\u4e00\u4e2a\u6811\u5757\u3002\u3002<br \/>\u540c\u65f6\u4fee\u6539\u76f4\u63a5\u66b4\u529b\u53ef\u4ee5\u89e3\u51b3\u3002\u3002<br \/>\u90a3\u4e48\u663e\u7136\u8981\u8ba9\u4fee\u6539\u5feb\uff0c\u5f53\u7136\u5757\u8d8a\u5c0f\u8d8a\u597d\uff0c\u8981\u8ba9\u67e5\u8be2\u5feb\uff0c\u5f53\u7136\u5757\u8d8a\u5927\u8d8a\u597d\u3002\u53d6\u4e2a\u7efc\u5408\uff0c\u5c31\u662fSqrt(N)\u4e86\u3002\u3002<br \/>\u90a3\u4e48\u5c31\u8981\u641e\u51fa\u4e00\u79cd\u5212\u5206\u7684\u65b9\u6cd5\u4f7f\u5f97\uff0c<br \/>\u6bcf\u4e2a\u5757\u5927\u5c0f\u4e0d\u8d85\u8fc7SqrtN\u3002\u3002\u3002<br \/>\u6bcf\u4e2a\u70b9\u5230\u6839\u6700\u591a\u7ecf\u8fc7SqrtN\u4e2a\u5757\u3002\u3002\u3002<br \/>\u5212\u5206\u7684\u65b9\u6cd5\u6709\u5f88\u591a.\u3002\u6211\u60f3\u51fa\u67653\u4e2a\u3002\u3002\u5c31\u8bf4\u8bf4\u6700\u5b9e\u7528\u7684\u90a3\u4e2a\u5427\u3002\u3002<br \/>Dfs\u4e00\u4e0b\uff0c\u5bf9\u6bcf\u4e2a\u7ed3\u70b9\u53ea\u8981\u5176\u5c5e\u4e8e\u7684\u5757\u5927\u5c0f\u4e0d\u8d85\u8fc7SqrtN\uff0c\u5c31\u628a\u5176\u5b69\u5b50\u52a0\u5165\u5176\u5c5e\u4e8e\u7684\u5757\u3002\u3002\u5426\u5219\u5176\u5b69\u5b50\u81ea\u7acb\u4e00\u4e2a\u5757\u3002\u3002<br \/>\u8fd9\u79cd\u6570\u636e\u7ed3\u6784\u7684\u4f18\u70b9\uff1a<br \/>\u4ee3\u7801\u77ed\uff0c\u597d\u5199\uff0c\u6ca1\u4e86\u3002\u3002<br \/>\u7f3a\u70b9\uff1a<br \/>\u53ea\u80fd\u7ef4\u62a4\u5355\u70b9\uff08\u8fb9\uff09\u7684\u4fee\u6539\uff0c\u4e0d\u80fd\u5e94\u4ed8GSS7\u90a3\u6837\u7684\u795e\u9898\uff0c<br \/>\u901f\u5ea6\uff1a<br \/>\u901f\u5ea6\u8fd8\u4e0d\u9519\u3002\u3002\u53ef\u4ee5\u770b\u4e0b\u6211\u4ea4\u7684\u90a3\u4e2a\u516b\u4e2dOJ1036\u7684\u4ee3\u7801\u3002\u3002\u3002\u6700\u5feb\u7684\u90a3\u4e2a\u7b2c16\u3002\u3002\u3002<br \/>\u5199\u7684\u65f6\u5019\u7684\u4e00\u4e9b\u6280\u5de7\uff1a<br \/>\u4fee\u6539\u7684\u65f6\u5019\u53ea\u9700\u8981\u4fee\u6539\u8be5\u70b9\u5728\u5757\u91cc\u7684\u540e\u4ee3\uff0c\u53ef\u4ee5\u52a0\u5feb\u4e0d\u5c11\u3002<br \/>\u5bf9\u6bcf\u4e2a\u70b9\u53e6\u5f00\u4e00\u4e2a\u8fb9\u8868\u7ef4\u62a4\u5728\u5757\u91cc\u7684\u540e\u4ee3\u3002<br \/>\u6216\u8005\u7528Bfs\u6765\u4fee\u6539\uff08\u5feb\u4e0d\u4e86\u591a\u5c11\u3002\u3002\u3002\uff09<br \/>\u4ee3\u7801\uff1a<br \/>#include &lt;vector&gt;<br \/>#include &lt;algorithm&gt;<br \/>#include &lt;cstdio&gt;<br \/>#include &lt;cmath&gt;<br \/>#define rep(i,n) for(int i=0;i&lt;n;i++)<br \/>#define tr(e,x) for(it e=x.begin();e!=x.end();e++)<br \/>#define pb push_back<br \/>const int maxn=30000,inf=~0U&gt;&gt;1;<br \/>using namespace std;<br \/>vector&lt;int&gt; E[maxn],Et[maxn];<br \/>typedef vector&lt;int&gt;::iterator it;<br \/>int n,q,w[maxn],L,D[maxn],F[maxn];<br \/>int own[maxn],M[maxn],S[maxn]={};<br \/>void Build(int t,int f,int d)<br \/>{<br \/>    D[t]=d;F[t]=f;<br \/>    int tmp=own[t];<br \/>    tr(e,E[t])if(*e!=f)<br \/>    {<br \/>        if(S[tmp]++&lt;L)Et[t].pb(*e),own[*e]=tmp;<br \/>        Build(*e,t,d+1);<br \/>    }<br \/>}<br \/>void Dfs(int t,int s,int m)<br \/>{<br \/>    S[t]=s+=w[t];M[t]=m&gt;?=w[t];<br \/>    tr(e,Et[t])Dfs(*e,s,m);<br \/>}<br \/>void Change(int t,int u)<br \/>{<br \/>    w[t]=u;<br \/>    if(t==own[t])Dfs(t,0,-inf);<br \/>    else Dfs(t,S[F[t]],M[F[t]]);<br \/>}<br \/>void Query(int a,int b,int&amp;s,int&amp;m)<br \/>{<br \/>    s=0;m=-inf;<br \/>    while(a!=b)<br \/>    {<br \/>        if(D[a]&lt;D[b])swap(a,b);<br \/>        if(own[a]==own[b])<br \/>            s+=w[a],m&gt;?=w[a],a=F[a];<br \/>        else<br \/>        {<br \/>            if(D[own[a]]&lt;D[own[b]])swap(a,b);<br \/>            s+=S[a],m&gt;?=M[a],a=F[own[a]];<br \/>        }<br \/>    }<br \/>    m&gt;?=w[a];s+=w[a];<br \/>}<br \/>int main()<br \/>{<br \/>    scanf(&quot;%d&quot;,&amp;n);int s,t;L=sqrt(n)+1;<br \/>    rep(i,n-1)scanf(&quot;%d%d&quot;,&amp;s,&amp;t),&#8211;s,&#8211;t,E[s].pb(t),E[t].pb(s);<br \/>    rep(i,n)scanf(&quot;%d&quot;,w+i),own[i]=i;<br \/>    Build(0,-1,0);<br \/>    rep(i,n)if(own[i]==i)Dfs(i,0,-inf);<br \/>    scanf(&quot;%d&quot;,&amp;q);<br \/>    char cmd[100];int S,M;<br \/>    rep(i,q)<br \/>    {<br \/>        scanf(&quot; &quot;);<br \/>        scanf(&quot;%s%d%d&quot;,cmd,&amp;s,&amp;t);<br \/>        if(cmd[0]==&#8217;C&#8217;)Change(s-1,t);<br \/>        else<br \/>        {<br \/>            Query(s-1,t-1,S,M);<br \/>            if(cmd[1]==&#8217;S&#8217;)printf(&quot;%dn&quot;,S);<br \/>            else printf(&quot;%dn&quot;,M);<br \/>        }<br \/>    }<br \/>}<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6700\u8fd1\u8fc7\u4e8e\u9893\u5e9f\u4e00\u76f4\u62d6\u7740\u8fd9\u7bc7\u5c0f\u8bba\u6587\u56e7\u3002\u3002\u4eca\u5929\u603b\u7b97\u4e0d\u9893\u5e9f\u4e86\u3002\u3002\u5199\u4e0b\u5427\u3002\u3002\u79f0\u6811\u7684\u4e00\u4e2a\u8054\u901a\u7684\u9876\u70b9\u5b50\u96c6\u4e3a\u6811\u5757\uff0c\u4e00\u4e2a\u6811\u5757\u7684\u6839\u5c31\u662f\u8fd9\u4e2a\u6811\u5757\u4e2d\u6df1\u5ea6\u6700\u5c0f\u7684\u9876\u70b9\uff0c\u90a3\u4e48\u5982\u679c\u5c06\u6811\u5212\u5206\u6210\u4e00\u4e9b\u6811\u5757\u6709\u5982\u4e0b\u5b9a\u7406\uff1a\u5bf9\u4e8e\u4e24\u4e2a\u9876\u70b9\uff0c(1)\u82e5\u4ed6\u4eec\u5c5e\u4e8e\u76f8\u540c\u7684\u6811\u5757\uff0c\u90a3\u4e48Lca\u80af\u5b9a\u5728\u8be5\u6570\u5757\u4e2d\uff0c(2)\u5982\u679c\u5c5e\u4e8e\u4e0d\u76f8\u540c\u7684\u6811\u5757\uff0cLca\u80af\u5b9a\u4e0d\u5728\u6811\u5757\u7684\u6839\u8f83\u6d45\u7684\u90a3\u4e2a\u6811\u5757\u4e2d\u3002\u3002\u3002\u8bc1\u660e\uff1a(1)\u5e9f\u8bdd(2)\uff1a\u5426\u5219Lca\u5c31\u4f1a\u5728\u53e6\u4e00\u4e2a\u9876\u70b9\u4e0e\u5176\u6811\u5757\u7684\u6839\u7684\u8def\u5f84\u4e0a\uff0c\u4e0eLca\u5c5e\u4e8e\u8f83\u6d45\u7684\u90a3\u4e2a\u6811\u5757\u77db\u76fe\u3002\u3002\u73b0\u5728\u4ee5QTREE\u4e3a\u8003\u8651\u7684\u95ee\u9898\u3002\u3002\u8003\u8651QTREE\uff0c\u5982\u679c\u5bf9\u6bcf\u4e2a\u70b9\u90fd\u7ef4\u62a4\u5176\u5230\u5176\u6811\u5757\u7684\u6839\u7684\u8def\u5f84\u4e0a\u6700\u5927\u8fb9\u6743\uff0c\u90a3\u4e48\u6211\u4eec\u7684\u8be2\u95ee\u5c31\u53ef\u4ee5\u7528\u4ee5\u4e0b\u65b9\u6cd5\u5b8c\u6210\u3002\u3002\u8bbe\u5f53\u524d\u9876\u70b9\u662fu\u3001v\u82e5\u5728\u540c\u4e00\u6811\u5757\u4e2d\uff0c\u76f4\u63a5\u66b4\u529b..\u5426\u5219\u53ef\u4ee5\u4f7f\u7528\u7ef4\u62a4\u7684\u4fe1\u606f\u8df3\u8fc7\u4e00\u4e2a\u6811\u5757\u3002\u3002\u540c\u65f6\u4fee\u6539\u76f4\u63a5\u66b4\u529b\u53ef\u4ee5\u89e3\u51b3\u3002\u3002\u90a3\u4e48\u663e\u7136\u8981\u8ba9\u4fee\u6539\u5feb\uff0c\u5f53\u7136\u5757\u8d8a\u5c0f\u8d8a\u597d\uff0c\u8981\u8ba9\u67e5\u8be2\u5feb\uff0c\u5f53\u7136\u5757\u8d8a\u5927\u8d8a\u597d\u3002\u53d6\u4e2a\u7efc\u5408\uff0c\u5c31\u662fSqrt(N)\u4e86\u3002\u3002\u90a3\u4e48\u5c31\u8981\u641e\u51fa\u4e00\u79cd\u5212\u5206\u7684\u65b9\u6cd5\u4f7f\u5f97\uff0c\u6bcf\u4e2a\u5757\u5927\u5c0f\u4e0d\u8d85\u8fc7SqrtN\u3002\u3002\u3002\u6bcf\u4e2a\u70b9\u5230\u6839\u6700\u591a\u7ecf\u8fc7SqrtN\u4e2a\u5757\u3002\u3002\u3002\u5212\u5206\u7684\u65b9\u6cd5\u6709\u5f88\u591a.\u3002\u6211\u60f3\u51fa\u67653\u4e2a\u3002\u3002\u5c31\u8bf4\u8bf4\u6700\u5b9e\u7528\u7684\u90a3\u4e2a\u5427\u3002\u3002Dfs\u4e00\u4e0b\uff0c\u5bf9\u6bcf\u4e2a\u7ed3\u70b9\u53ea\u8981\u5176\u5c5e\u4e8e\u7684\u5757\u5927\u5c0f\u4e0d\u8d85\u8fc7SqrtN\uff0c\u5c31\u628a\u5176\u5b69\u5b50\u52a0\u5165\u5176\u5c5e\u4e8e\u7684\u5757\u3002\u3002\u5426\u5219\u5176\u5b69\u5b50\u81ea\u7acb\u4e00\u4e2a\u5757\u3002\u3002\u8fd9\u79cd\u6570\u636e\u7ed3\u6784\u7684\u4f18\u70b9\uff1a\u4ee3\u7801\u77ed\uff0c\u597d\u5199\uff0c\u6ca1\u4e86\u3002\u3002\u7f3a\u70b9\uff1a\u53ea\u80fd\u7ef4\u62a4\u5355\u70b9\uff08\u8fb9\uff09\u7684\u4fee\u6539\uff0c\u4e0d\u80fd\u5e94\u4ed8GSS7\u90a3\u6837\u7684\u795e\u9898\uff0c\u901f\u5ea6\uff1a\u901f\u5ea6\u8fd8\u4e0d\u9519\u3002\u3002\u53ef\u4ee5\u770b\u4e0b\u6211\u4ea4\u7684\u90a3\u4e2a\u516b\u4e2dOJ1036\u7684\u4ee3\u7801\u3002\u3002\u3002\u6700\u5feb\u7684\u90a3\u4e2a\u7b2c16\u3002\u3002\u3002\u5199\u7684\u65f6\u5019\u7684\u4e00\u4e9b\u6280\u5de7\uff1a\u4fee\u6539\u7684\u65f6\u5019\u53ea\u9700\u8981\u4fee\u6539\u8be5\u70b9\u5728\u5757\u91cc\u7684\u540e\u4ee3\uff0c\u53ef\u4ee5\u52a0\u5feb\u4e0d\u5c11\u3002\u5bf9\u6bcf\u4e2a\u70b9\u53e6\u5f00\u4e00\u4e2a\u8fb9\u8868\u7ef4\u62a4\u5728\u5757\u91cc\u7684\u540e\u4ee3\u3002\u6216\u8005\u7528Bfs\u6765\u4fee\u6539\uff08\u5feb\u4e0d\u4e86\u591a\u5c11\u3002\u3002\u3002\uff09\u4ee3\u7801\uff1a#include &lt;vector&gt;#include &lt;algorithm&gt;#include &lt;cstdio&gt;#include &lt;cmath&gt;#define rep(i,n) for(int i=0;i&lt;n;i++)#define tr(e,x) for(it e=x.begin();e!=x.end();e++)#define pb push_backconst int maxn=30000,inf=~0U&gt;&gt;1;using namespace std;vector&lt;int&gt; E[maxn],Et[maxn];typedef vector&lt;int&gt;::iterator it;int n,q,w[maxn],L,D[maxn],F[maxn];int own[maxn],M[maxn],S[maxn]={};void Build(int t,int f,int d){ D[t]=d;F[t]=f; int tmp=own[t]; tr(e,E[t])if(*e!=f) { if(S[tmp]++&lt;L)Et[t].pb(*e),own[*e]=tmp; Build(*e,t,d+1); }}void Dfs(int t,int s,int m){ S[t]=s+=w[t];M[t]=m&gt;?=w[t]; tr(e,Et[t])Dfs(*e,s,m);}void Change(int t,int u){ w[t]=u; if(t==own[t])Dfs(t,0,-inf); else Dfs(t,S[F[t]],M[F[t]]);}void Query(int a,int b,int&amp;s,int&amp;m){ s=0;m=-inf; while(a!=b) { if(D[a]&lt;D[b])swap(a,b); if(own[a]==own[b]) [&hellip;]<\/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\/324"}],"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=324"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/324\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=324"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=324"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=324"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}