{"id":298,"date":"2010-07-06T18:43:00","date_gmt":"2010-07-06T10:43:00","guid":{"rendered":"http:\/\/localhost\/?p=298"},"modified":"2010-07-06T18:43:00","modified_gmt":"2010-07-06T10:43:00","slug":"zjoi2008_tree_statistics_count","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/wjmzbmr\/?p=298","title":{"rendered":"[ZJOI2008]\u6811\u7684\u7edf\u8ba1Count"},"content":{"rendered":"\n<p>[ZJOI2008]\u6811\u7684\u7edf\u8ba1Count<\/p>\n<p>Time Limit:10000MS&#160; Memory Limit:165536K<br \/>Total Submit:116 Accepted:61 <br \/>Case Time Limit:1000MS<\/p>\n<p><strong>Description <\/strong><\/p>\n<p> \u4e00\u68f5\u6811\u4e0a\u6709n\u4e2a\u8282\u70b9\uff0c\u7f16\u53f7\u5206\u522b\u4e3a1\u5230n\uff0c\u6bcf\u4e2a\u8282\u70b9\u90fd\u6709\u4e00\u4e2a\u6743\u503cw\u3002 <br \/>\u6211\u4eec\u5c06\u4ee5\u4e0b\u9762\u7684\u5f62\u5f0f\u6765\u8981\u6c42\u4f60\u5bf9\u8fd9\u68f5\u6811\u5b8c\u6210\u4e00\u4e9b\u64cd\u4f5c\uff1a <br \/>I. CHANGE u t : \u628a\u7ed3\u70b9u\u7684\u6743\u503c\u6539\u4e3at <br \/>II. QMAX u v: \u8be2\u95ee\u4ece\u70b9u\u5230\u70b9v\u7684\u8def\u5f84\u4e0a\u7684\u8282\u70b9\u7684\u6700\u5927\u6743\u503c <br \/>III. QSUM u v: \u8be2\u95ee\u4ece\u70b9u\u5230\u70b9v\u7684\u8def\u5f84\u4e0a\u7684\u8282\u70b9\u7684\u6743\u503c\u548c <\/p>\n<p>\u6ce8\u610f\uff1a\u4ece\u70b9u\u5230\u70b9v\u7684\u8def\u5f84\u4e0a\u7684\u8282\u70b9\u5305\u62ecu\u548cv\u672c\u8eab <\/p>\n<p><strong>Input <\/strong><\/p>\n<p> \u8f93\u5165\u7684\u7b2c\u4e00\u884c\u4e3a\u4e00\u4e2a\u6574\u6570n\uff0c\u8868\u793a\u8282\u70b9\u7684\u4e2a\u6570\u3002 <br \/>\u63a5\u4e0b\u6765n \u2013 1\u884c\uff0c\u6bcf\u884c2\u4e2a\u6574\u6570a\u548cb\uff0c\u8868\u793a\u8282\u70b9a\u548c\u8282\u70b9b\u4e4b\u95f4\u6709\u4e00\u6761\u8fb9\u76f8\u8fde\u3002 <br \/>\u63a5\u4e0b\u6765n\u884c\uff0c\u6bcf\u884c\u4e00\u4e2a\u6574\u6570\uff0c\u7b2ci\u884c\u7684\u6574\u6570wi\u8868\u793a\u8282\u70b9i\u7684\u6743\u503c\u3002 <br \/>\u63a5\u4e0b\u67651\u884c\uff0c\u4e3a\u4e00\u4e2a\u6574\u6570q\uff0c\u8868\u793a\u64cd\u4f5c\u7684\u603b\u6570\u3002 <br \/>\u63a5\u4e0b\u6765q\u884c\uff0c\u6bcf\u884c\u4e00\u4e2a\u64cd\u4f5c\uff0c\u4ee5\u201cCHANGE u t\u201d\u6216\u8005\u201cQMAX u v\u201d\u6216\u8005\u201cQSUM u v\u201d\u7684\u5f62\u5f0f\u7ed9\u51fa\u3002 <\/p>\n<p>\u5bf9\u4e8e100\uff05\u7684\u6570\u636e\uff0c\u4fdd\u8bc11&lt;=n&lt;=30000\uff0c0&lt;=q&lt;=200000\uff1b\u4e2d\u9014\u64cd\u4f5c\u4e2d\u4fdd\u8bc1\u6bcf\u4e2a\u8282\u70b9\u7684\u6743\u503cw\u5728 -30000\u523030000\u4e4b\u95f4\u3002 <\/p>\n<p><strong>Output <\/strong><\/p>\n<p> \u5bf9\u4e8e\u6bcf\u4e2a\u201cQMAX\u201d\u6216\u8005\u201cQSUM\u201d\u7684\u64cd\u4f5c\uff0c\u6bcf\u884c\u8f93\u51fa\u4e00\u4e2a\u6574\u6570\u8868\u793a\u8981\u6c42\u8f93\u51fa\u7684\u7ed3\u679c\u3002 <\/p>\n<p><strong>Sample Input <\/strong><\/p>\n<p>4<br \/>1 2<br \/>2 3<br \/>4 1<br \/>4 2 1 3<br \/>12<br \/>QMAX 3 4<br \/>QMAX 3 3<br \/>QMAX 3 2<br \/>QMAX 2 3<br \/>QSUM 3 4<br \/>QSUM 2 1<br \/>CHANGE 1 5<br \/>QMAX 3 4<br \/>CHANGE 3 6<br \/>QMAX 3 4<br \/>QMAX 2 4<br \/>QSUM 3 4<\/p>\n<p><strong>Sample Output <\/strong><\/p>\n<p>4<br \/>1<br \/>2<br \/>2<br \/>10<br \/>6<br \/>5<br \/>6<br \/>5<br \/>16<\/p>\n<p><strong>Source<br \/>\u989d\u3002\u3002\u6211\u7684\u7b97\u6cd5\u6781\u6162\uff0c\u5361\u7740\u65f6\u95f4\u8fc7\u4e86\u3002\u3002<br \/>\u4e00\u822c\u7684\u7b97\u6cd5\u5c31\u662fLink\u2014Cut\u6811\uff0c\u6811\u94fe\u5256\u5206\u554a\u4ec0\u4e48\u7684\uff0c\u7531\u4e8e\u6211\u592a\u83dc\uff0c\u53ea\u597d\u60f3\u4e86\u4e2a\u5f88SB\u7684\u7b97\u6cd5\uff0c\u6211\u60f3\u7684\u662f\u53ef\u4ee5\u4e0d\u53ef\u4ee5\u7528\u7c7b\u4f3c\u4e8e\u5757\u72b6\u6570\u7ec4\u7684\u529e\u6cd5\u6765\u89e3\u51b3\u8fd9\u9053\u9898\u76ee\u3002\u3002\u90a3\u4e48\u628a\u8fd9\u4e2a\u6811\u5206\u6210Sqrt\uff08N\uff09\u5de6\u53f3\u7684\u5c0f\u5757\uff0c\u7136\u540e\u6bcf\u6b21\u5f80\u4e0a\u8df3\u3002\u3002\u53ef\u4ee5\u5728Sqrt\uff08N\uff09\u4e2d\u89e3\u51b3\u95ee\u9898\u3002\u3002\u5173\u952e\u662f\u600e\u4e48\u5212\u5206\u3002\u3002\u6211TLE\u4e86N\u6b21\u4e3b\u8981\u5c31\u662f\u5728\u5c1d\u8bd5\u5212\u5206\u7684\u529e\u6cd5\u56e7\u3002\u3002\u641e\u4e86\u534a\u5929\u6700\u540e\u7a00\u91cc\u7cca\u6d82\u5f04\u51fa\u6765\u4e86\u3002\u3002\u6211\u771f\u662f\u83dc\u6b7b\u4e86\u56e7\u3002\u3002\u3002<br \/>\u6539\u8fdb\u4e86\u4e00\u4e0bCode\u3002\u3002\u53d8\u5feb\u4e00\u70b9\u4e86\u3002\u3002<br \/>Code\uff1a<\/strong><\/p>\n<p>#include &lt;vector&gt;<br \/>#include &lt;algorithm&gt;<br \/>#include &lt;cstdio&gt;<br \/>#include &lt;cmath&gt;<br \/>#include &lt;cstring&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 inf=~0U&gt;&gt;1,maxn=30000;<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],Lim,dep[maxn],Fa[maxn];<br \/>int own[maxn],Max[maxn],Sum[maxn]={};<br \/>void Build(int t,int f,int d)<br \/>{<br \/>    dep[t]=d;Fa[t]=f;<br \/>    if(own[t]==-1)<br \/>    {<br \/>        own[t]=t;<br \/>        Sum[t]++;<br \/>    }<br \/>    int tmp=own[t];<br \/>    tr(e,E[t])if(*e!=f)<br \/>    {<br \/>        if(Sum[tmp]&lt;Lim)<br \/>        {<br \/>            Et[t].pb(*e);<br \/>            own[*e]=tmp;<br \/>            Sum[tmp]++;<br \/>        }<br \/>        Build(*e,t,d+1);<br \/>    }<br \/>}<br \/>void Dfs(int t,int s,int m)<br \/>{<br \/>    Sum[t]=s+=w[t];Max[t]=m=max(m,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,Sum[Fa[t]],Max[Fa[t]]);<br \/>}<br \/>int QSum(int a,int b)<br \/>{<br \/>    int s=0;<br \/>    while(a!=b)<br \/>    {<br \/>        if(dep[a]&lt;dep[b])swap(a,b);<br \/>        if(own[a]==own[b]||own[a]==a)<br \/>            s+=w[a],a=Fa[a];<br \/>        else<br \/>        {<br \/>            if(dep[own[a]]&lt;dep[own[b]])swap(a,b);<br \/>            s+=Sum[a],a=Fa[own[a]];<br \/>        }<br \/>    }<br \/>    return s+w[a];<br \/>}<br \/>int QMax(int a,int b)<br \/>{<br \/>    int m=-inf;<br \/>    while(a!=b)<br \/>    {<br \/>        if(dep[a]&lt;dep[b])swap(a,b);<br \/>        if(own[a]==own[b])<br \/>            m=max(m,w[a]),a=Fa[a];<br \/>        else<br \/>        {<br \/>            if(dep[own[a]]&lt;dep[own[b]])swap(a,b);<br \/>            m=max(m,Max[a]),a=Fa[own[a]];<br \/>        }<br \/>    }<br \/>    return max(m,w[a]);<br \/>}<br \/>int main()<br \/>{<br \/>    \/\/freopen(&quot;in&quot;,&quot;r&quot;,stdin);<br \/>    scanf(&quot;%d&quot;,&amp;n);int s,t;Lim=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);<br \/>    memset(own,-1,sizeof own);<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];<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 if(cmd[1]==&#8217;S&#8217;)printf(&quot;%dn&quot;,QSum(s-1,t-1));<br \/>        else printf(&quot;%dn&quot;,QMax(s-1,t-1));<br \/>    }<br \/>}<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ZJOI2008]\u6811\u7684\u7edf\u8ba1Count Time Limit:10000MS&#160; Memory Limit:165536KTotal Submit:116 Accepted:61 Case Time Limit:1000MS Description \u4e00\u68f5\u6811\u4e0a\u6709n\u4e2a\u8282\u70b9\uff0c\u7f16\u53f7\u5206\u522b\u4e3a1\u5230n\uff0c\u6bcf\u4e2a\u8282\u70b9\u90fd\u6709\u4e00\u4e2a\u6743\u503cw\u3002 \u6211\u4eec\u5c06\u4ee5\u4e0b\u9762\u7684\u5f62\u5f0f\u6765\u8981\u6c42\u4f60\u5bf9\u8fd9\u68f5\u6811\u5b8c\u6210\u4e00\u4e9b\u64cd\u4f5c\uff1a I. CHANGE u t : \u628a\u7ed3\u70b9u\u7684\u6743\u503c\u6539\u4e3at II. QMAX u v: \u8be2\u95ee\u4ece\u70b9u\u5230\u70b9v\u7684\u8def\u5f84\u4e0a\u7684\u8282\u70b9\u7684\u6700\u5927\u6743\u503c III. QSUM u v: \u8be2\u95ee\u4ece\u70b9u\u5230\u70b9v\u7684\u8def\u5f84\u4e0a\u7684\u8282\u70b9\u7684\u6743\u503c\u548c \u6ce8\u610f\uff1a\u4ece\u70b9u\u5230\u70b9v\u7684\u8def\u5f84\u4e0a\u7684\u8282\u70b9\u5305\u62ecu\u548cv\u672c\u8eab Input \u8f93\u5165\u7684\u7b2c\u4e00\u884c\u4e3a\u4e00\u4e2a\u6574\u6570n\uff0c\u8868\u793a\u8282\u70b9\u7684\u4e2a\u6570\u3002 \u63a5\u4e0b\u6765n \u2013 1\u884c\uff0c\u6bcf\u884c2\u4e2a\u6574\u6570a\u548cb\uff0c\u8868\u793a\u8282\u70b9a\u548c\u8282\u70b9b\u4e4b\u95f4\u6709\u4e00\u6761\u8fb9\u76f8\u8fde\u3002 \u63a5\u4e0b\u6765n\u884c\uff0c\u6bcf\u884c\u4e00\u4e2a\u6574\u6570\uff0c\u7b2ci\u884c\u7684\u6574\u6570wi\u8868\u793a\u8282\u70b9i\u7684\u6743\u503c\u3002 \u63a5\u4e0b\u67651\u884c\uff0c\u4e3a\u4e00\u4e2a\u6574\u6570q\uff0c\u8868\u793a\u64cd\u4f5c\u7684\u603b\u6570\u3002 \u63a5\u4e0b\u6765q\u884c\uff0c\u6bcf\u884c\u4e00\u4e2a\u64cd\u4f5c\uff0c\u4ee5\u201cCHANGE u t\u201d\u6216\u8005\u201cQMAX u v\u201d\u6216\u8005\u201cQSUM u v\u201d\u7684\u5f62\u5f0f\u7ed9\u51fa\u3002 \u5bf9\u4e8e100\uff05\u7684\u6570\u636e\uff0c\u4fdd\u8bc11&lt;=n&lt;=30000\uff0c0&lt;=q&lt;=200000\uff1b\u4e2d\u9014\u64cd\u4f5c\u4e2d\u4fdd\u8bc1\u6bcf\u4e2a\u8282\u70b9\u7684\u6743\u503cw\u5728 -30000\u523030000\u4e4b\u95f4\u3002 Output \u5bf9\u4e8e\u6bcf\u4e2a\u201cQMAX\u201d\u6216\u8005\u201cQSUM\u201d\u7684\u64cd\u4f5c\uff0c\u6bcf\u884c\u8f93\u51fa\u4e00\u4e2a\u6574\u6570\u8868\u793a\u8981\u6c42\u8f93\u51fa\u7684\u7ed3\u679c\u3002 Sample Input 41 22 34 14 2 [&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\/298"}],"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=298"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/298\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=298"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=298"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=298"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}