{"id":282,"date":"2017-12-20T19:19:22","date_gmt":"2017-12-20T11:19:22","guid":{"rendered":"http:\/\/kylelv.com\/?p=282"},"modified":"2017-12-20T19:19:22","modified_gmt":"2017-12-20T11:19:22","slug":"bzoj-2631-tree-lct","status":"publish","type":"post","link":"https:\/\/blog.kylelv.com\/?p=282","title":{"rendered":"bzoj 2631: tree &#8212; LCT"},"content":{"rendered":"<p><center><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_73 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-69fdefb11595f\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69fdefb11595f\"  aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/blog.kylelv.com\/?p=282\/#2631_tree\" title=\"2631: tree\">2631: tree<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/blog.kylelv.com\/?p=282\/#Description\" title=\"Description\">Description<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/blog.kylelv.com\/?p=282\/#Input\" title=\"Input\">Input<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/blog.kylelv.com\/?p=282\/#Output\" title=\"Output\">Output<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/blog.kylelv.com\/?p=282\/#Sample_Input\" title=\"Sample Input\">Sample Input<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/blog.kylelv.com\/?p=282\/#Sample_Output\" title=\"Sample Output\">Sample Output<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/blog.kylelv.com\/?p=282\/#HINT\" title=\"HINT\">HINT<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/blog.kylelv.com\/?p=282\/#Source\" title=\"Source\">Source<\/a><\/li><\/ul><\/nav><\/div>\n<h2 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"2631_tree\"><\/span>2631: tree<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span class=\"green\">Time Limit:\u00a030 Sec\u00a0\u00a0Memory Limit:\u00a0128 MB<\/span><\/center><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Description\"><\/span>Description<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<p>\u3000\u4e00\u68f5n\u4e2a\u70b9\u7684\u6811\uff0c\u6bcf\u4e2a\u70b9\u7684\u521d\u59cb\u6743\u503c\u4e3a1\u3002\u5bf9\u4e8e\u8fd9\u68f5\u6811\u6709q\u4e2a\u64cd\u4f5c\uff0c\u6bcf\u4e2a\u64cd\u4f5c\u4e3a\u4ee5\u4e0b\u56db\u79cd\u64cd\u4f5c\u4e4b\u4e00\uff1a<br \/>\n+ u v c\uff1a\u5c06u\u5230v\u7684\u8def\u5f84\u4e0a\u7684\u70b9\u7684\u6743\u503c\u90fd\u52a0\u4e0a\u81ea\u7136\u6570c\uff1b<br \/>\n&#8211; u1 v1 u2 v2\uff1a\u5c06\u6811\u4e2d\u539f\u6709\u7684\u8fb9(u1,v1)\u5220\u9664\uff0c\u52a0\u5165\u4e00\u6761\u65b0\u8fb9(u2,v2)\uff0c\u4fdd\u8bc1\u64cd\u4f5c\u5b8c\u4e4b\u540e\u4ecd\u7136\u662f\u4e00\u68f5\u6811\uff1b<br \/>\n* u v c\uff1a\u5c06u\u5230v\u7684\u8def\u5f84\u4e0a\u7684\u70b9\u7684\u6743\u503c\u90fd\u4e58\u4e0a\u81ea\u7136\u6570c\uff1b<br \/>\n\/ u v\uff1a\u8be2\u95eeu\u5230v\u7684\u8def\u5f84\u4e0a\u7684\u70b9\u7684\u6743\u503c\u548c\uff0c\u6c42\u51fa\u7b54\u6848\u5bf9\u4e8e51061\u7684\u4f59\u6570\u3002<\/p>\n<div class=\"pdcont\"><\/div>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Input\"><\/span>Input<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<div class=\"pdcont\">\u3000\u3000\u7b2c\u4e00\u884c\u4e24\u4e2a\u6574\u6570n\uff0cq<br \/>\n\u63a5\u4e0b\u6765n-1\u884c\u6bcf\u884c\u4e24\u4e2a\u6b63\u6574\u6570u\uff0cv\uff0c\u63cf\u8ff0\u8fd9\u68f5\u6811<br \/>\n\u63a5\u4e0b\u6765q\u884c\uff0c\u6bcf\u884c\u63cf\u8ff0\u4e00\u4e2a\u64cd\u4f5c<\/div>\n<div class=\"pdcont\"><\/div>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Output\"><\/span>Output<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<div class=\"pdcont\">\u3000\u3000\u5bf9\u4e8e\u6bcf\u4e2a\/\u5bf9\u5e94\u7684\u7b54\u6848\u8f93\u51fa\u4e00\u884c<\/div>\n<div class=\"pddata\"><\/div>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Sample_Input\"><\/span>Sample Input<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\"><span class=\"sampledata\">3 2<br \/>\n1 2<br \/>\n2 3<br \/>\n* 1 3 4<br \/>\n\/ 1 1<\/p>\n<p><\/span><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Sample_Output\"><\/span>Sample Output<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\"><span class=\"sampledata\">4<\/p>\n<p><\/span><\/div>\n<h2><span class=\"ez-toc-section\" id=\"HINT\"><\/span>HINT<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<p>&nbsp;<\/p>\n<p>\u6570\u636e\u89c4\u6a21\u548c\u7ea6\u5b9a<\/p>\n<p>10%\u7684\u6570\u636e\u4fdd\u8bc1\uff0c1&lt;=n\uff0cq&lt;=2000<\/p>\n<p>\u53e6\u591615%\u7684\u6570\u636e\u4fdd\u8bc1\uff0c1&lt;=n\uff0cq&lt;=5*10^4\uff0c\u6ca1\u6709-\u64cd\u4f5c\uff0c\u5e76\u4e14\u521d\u59cb\u6811\u4e3a\u4e00\u6761\u94fe<\/p>\n<p>\u53e6\u591635%\u7684\u6570\u636e\u4fdd\u8bc1\uff0c1&lt;=n\uff0cq&lt;=5*10^4\uff0c\u6ca1\u6709-\u64cd\u4f5c<\/p>\n<p>100%\u7684\u6570\u636e\u4fdd\u8bc1\uff0c1&lt;=n\uff0cq&lt;=10^5\uff0c0&lt;=c&lt;=10^4<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Source\"><\/span>Source<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>LCT\u5165\u95e8\u9898\uff0c\uff0c<\/p>\n<p>md\u4e00\u4e2a%=\u5199\u6210\u4e86%\u6539\u4e86\u6211\u4e00\u5929\u3002\u3002\u3002<\/p>\n<pre class=\"lang:c++ decode:true  \">#include&lt;map&gt;\r\n#include&lt;cmath&gt;\r\n#include&lt;queue&gt;\r\n#include&lt;cstdio&gt;\r\n#include&lt;cstring&gt;\r\n#include&lt;iostream&gt;\r\n#include&lt;algorithm&gt;\r\nusing namespace std;\r\n#define inf 1000000007\r\n#define ll long long\r\n#define uint unsigned int\r\n#define mod 51061\r\n#define N 100010\r\ninline int rd()\r\n{\r\n    int x=0;char ch=getchar();\r\n    while(ch&lt;'0'||ch&gt;'9') ch=getchar();\r\n    while(ch&gt;='0'&amp;&amp;ch&lt;='9'){x=x*10+ch-'0';ch=getchar();}\r\n    return x;\r\n}\r\nint c[N][2],fa[N],sz[N];\r\nuint lz1[N],lz2[N],v[N],sum[N];\r\nbool rev[N];\r\nint n,q;\r\n#define ls c[x][0]\r\n#define rs c[x][1]\r\nbool isrt(int x){return x!=c[fa[x]][0]&amp;&amp;x!=c[fa[x]][1];}\r\ninline void pd(int x)\r\n{\r\n    uint mz;\r\n    if(rev[x])\r\n    {\r\n        rev[ls]^=1;rev[rs]^=1;\r\n        swap(ls,rs);rev[x]=0;\r\n    }\r\n    mz=lz2[x];lz2[x]=1;\r\n    if(mz!=1)\r\n    {\r\n        lz2[ls]=lz2[ls]*mz%mod;\r\n        lz2[rs]=lz2[rs]*mz%mod;\r\n        lz1[ls]=lz1[ls]*mz%mod;\r\n        lz1[rs]=lz1[rs]*mz%mod;\r\n        sum[ls]=sum[ls]*mz%mod;\r\n        sum[rs]=sum[rs]*mz%mod;\r\n        v[ls]=v[ls]*mz%mod;v[rs]=v[rs]*mz%mod;\r\n    }\r\n    mz=lz1[x];lz1[x]=0;\r\n    if(mz)\r\n    {\r\n        (lz1[ls]+=mz)%=mod;\r\n        (lz1[rs]+=mz)%=mod;\r\n        (sum[ls]+=sz[ls]*mz)%=mod;\r\n        (sum[rs]+=sz[rs]*mz)%=mod;\r\n        (v[ls]+=mz)%=mod;(v[rs]+=mz)%=mod;\r\n    }\r\n}\r\ninline void upd(int x)\r\n{\r\n    sz[x]=sz[ls]+sz[rs]+1;\r\n    sum[x]=(v[x]+sum[ls]+sum[rs])%mod;\r\n}\r\nvoid rot(int x)\r\n{\r\n    int y=fa[x],z=fa[y],l,r;\r\n    l=c[y][1]==x;r=l^1;\r\n    if(!isrt(y)) c[z][c[z][1]==y]=x;\r\n    fa[x]=z;fa[y]=x;fa[c[x][r]]=y;\r\n    c[y][l]=c[x][r];c[x][r]=y;\r\n    upd(y);upd(x);\r\n}\r\n\r\nint st[N],tot;\r\nvoid splay(int x)\r\n{\r\n    tot=1;st[1]=x;\r\n    for(int i=x;!isrt(i);i=fa[i]) st[++tot]=fa[i];\r\n    for(int i=tot;i;i--) pd(st[i]);\r\n    int y,z;\r\n    while(!isrt(x))\r\n    {\r\n        y=fa[x];z=fa[y];\r\n        if(!isrt(y))\r\n        {\r\n            if((c[y][0]==x)^(c[z][0]==y)) rot(x);\r\n            else rot(y);\r\n        }\r\n        rot(x);\r\n    }\r\n}\r\nvoid acc(int x)\r\n{\r\n    int t=0;\r\n    while(x)\r\n    {\r\n        splay(x);\r\n        rs=t;upd(x);\r\n        t=x;x=fa[x];\r\n    }\r\n}\r\nvoid rever(int x)\r\n{\r\n    acc(x);\r\n    splay(x);\r\n    rev[x]^=1;\r\n}\r\nvoid mk(int x,int y)\r\n{\r\n    rever(x);\r\n    acc(y);splay(y);\r\n}\r\nvoid link(int x,int y)\r\n{\r\n    rever(x);\r\n    fa[x]=y;\r\n}\r\nvoid cut(int x,int y)\r\n{\r\n    mk(x,y);\r\n    c[y][0]=fa[x]=0;\r\n}\r\ninline void mul(int x,int V)\r\n{\r\n    (v[x]*=V)%=mod;\r\n    (sum[x]*=V)%=mod;\r\n    (lz2[x]*=V)%=mod;\r\n    (lz1[x]*=V)%=mod;\r\n}\r\ninline void add(int x,int V)\r\n{\r\n    (v[x]+=V)%=mod;\r\n    (sum[x]+=V*sz[x])%=mod;\r\n    (lz1[x]+=V)%=mod;\r\n}\r\nint main()\r\n{\r\n    n=rd();q=rd();\r\n    for(int i=1;i&lt;=n;i++) lz2[i]=sz[i]=sum[i]=v[i]=1;\r\n    for(int i=1,x,y;i&lt;n;i++)\r\n    {\r\n        x=rd();y=rd();\r\n        link(x,y);\r\n    }\r\n    char op[2];\r\n    int x,y,xx,yy,V;\r\n    while(q--)\r\n    {\r\n        scanf(\"%s\",op);\r\n        if(op[0]=='*')\r\n        {\r\n            x=rd();y=rd();V=rd();\r\n            mk(x,y);mul(y,V);\r\n        }\r\n        else if(op[0]=='+')\r\n        {\r\n            x=rd();y=rd();V=rd();\r\n            mk(x,y);add(y,V);\r\n        }\r\n        else if(op[0]=='-')\r\n        {\r\n            x=rd();y=rd();xx=rd();yy=rd();\r\n            cut(x,y);link(xx,yy);\r\n        }\r\n        else \r\n        {\r\n            x=rd();y=rd();\r\n            mk(x,y);printf(\"%d\\n\",sum[y]);\r\n        }\r\n    }\r\n    return 0;\r\n}<\/pre>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2631: tree Time Limit:\u00a030 Sec\u00a0\u00a0Memory Limit:\u00a0128 MB Des [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[13],"class_list":["post-282","post","type-post","status-publish","format-standard","hentry","category-bzoj","tag-lct"],"_links":{"self":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/282","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=282"}],"version-history":[{"count":1,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/282\/revisions"}],"predecessor-version":[{"id":283,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/282\/revisions\/283"}],"wp:attachment":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=282"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=282"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=282"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}