{"id":274,"date":"2012-11-19T22:53:00","date_gmt":"2012-11-19T14:53:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/179"},"modified":"2012-11-19T22:53:00","modified_gmt":"2012-11-19T14:53:00","slug":"rqnoj_60_zkw_segment_tree-xor_interval_and_interval_summation","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=274","title":{"rendered":"RQNOJ 60(zkw\u7ebf\u6bb5\u6811-xor\u533a\u95f4\u4e0e\u533a\u95f4\u6c42\u548c\uff09"},"content":{"rendered":"

\n\u67e5\u770b\u9898\u76ee Show Problem<\/h1>\n

\n\u9898\u76ee:\u7f8e\u4e3d\u7684\u4e2d\u56fd\u7ed3<\/span><\/p>\n

\n\u95ee\u9898\u7f16\u53f7:60<\/a><\/p>\n

<\/ins>
\n<\/span><\/p>\n

\n\u9898\u76ee\u63cf\u8ff0<\/h1>\n

\n\u9898\u76ee\u80cc\u666f
\nkitty\u521a\u521a\u9ad8\u4e09\u6bd5\u4e1a.\u770b\u5230\u540c\u5b66\u4eec\u90fd\u56de\u5bb6\u7684\u56de\u5bb6,\u65c5\u6e38\u7684\u65c5\u6e38,\u5979\u7684\u5fc3\u91cc\u6709\u4e9b\u843d\u5bde.\u82f1\u4fca\u6f47\u6d12\u98ce\u6d41\u501c\u50a5\u8ff7\u5012\u4e07\u5343KL\u5374\u4ec5\u5bf9kitty\u611f\u5192\u7684fish\u770b\u5728眼\u91cc,\u6025\u5728\u5fc3\u91cc.\u4e00\u5929,fish\u63d0\u51fa\u548ckitty\u4e24\u4e2a\u4eba\u4e00\u8d77\u5916\u51fa\u65c5\u6e38.kitty\u72b9\u8c6b\u4e86\u51e0\u5929,\u60f3\u597d\u80fd\u7792\u8fc7\u5bb6\u957f\u7684\u7406\u7531\u540e\uff08\u8981\u95ee\u662f\u4ec0\u4e48\u2026\u2026\u81ea\u5df1\u731c\u53bb\uff09,\u7b54\u5e94\u4e86.fish\u5f88\u9ad8\u5174\u5730\u5e26\u7740kitty\u53bb\u767b\u8bb0\u4e86\uff08\u522b\u60f3\u6b6a,\u767b\u8bb0\u65c5\u6e38\u56e2\u800c\u5df2\u2026\u2026\uff09,\u65e5\u7167\u9752\u5c9b\u4e94\u65e5\u6e38.
\n\u5f53\u7136\u5566,\u4ed6\u4eec\u73a9\u5f97\u5f88\u9ad8\u5174.\u867d\u7136\u8fd9\u6b21\u65c5\u884c\u662ffish\u5148\u63d0\u8bae\u7684,\u4f46kitty\u56e0\u4e3a\u73a9\u5f97\u5f88\u7545\u5feb\uff08\u521a\u9ad8\u8003\u5b8c\u561b\uff09,\u6240\u4ee5\u60f3\u9001\u7ed9fish\u4e00\u4efd礼\u7269,\u4e00\u4efd\u80fd\u8ba9\u89c1\u591a\u8bc6\u5e7f\u7684fish\u90fd\u65e0\u6cd5\u5fd8\u6000\u7684礼\u7269.\u5979\u4ece\u8def\u8fb9 9\u00be\u7ad9\u53f0\u7684\u67d0\u7b97\u547d\u5148\u751f\u90a3\u91cc\u5f97\u77e5\u4e2d\u56fd\u7ed3\u5177\u6709\u589e\u52a0RP\u7684\u6548\u679c,\u800c\u8fd9\u6b63\u662ffish\u6240\u9700\u8981\u7684,\u56e0\u6b64\u5979\u51b3\u5b9a\u52a8\u624b\u7ed9fish\u7f16\u4e00\u4e2a\u5947\u7279\u7684\u4e2d\u56fd\u7ed3.<\/p>\n

\u9898\u76ee\u63cf\u8ff0
\n\u4e2d\u56fd\u7ed3\u5f62\u5f0f\u591a\u6837,fish\u4f1a\u559c\u6b22\u4ec0\u4e48\u6837\u7684\u5462?\u601d\u8003\u51e0\u5929\u540e,kitty\u51b3\u5b9a\u7ed9fish\u7f16\u4e00\u4e2a\u6811\u72b6\u7684\u4e2d\u56fd\u7ed3.\u8fd9\u4e2a\u4e2d\u56fd\u7ed3\u6709n\u4e2a\u7ed3\u70b9\uff08\u7f16\u53f71,2,\u2026,n\uff09,\u8fd9n\u4e2a\u7ed3\u70b9\u4e4b\u95f4\u603b\u5171\u6070\u6709n-1\u6761\u7ebf\u76f8\u8fde,\u5176\u4e2d\u7ed3\u70b91\u4e0a\u662f\u6811\u7684\u6839.\u8fd9\u662f\u4e00\u4e2a\u5947\u7279\u7684\u4e2d\u56fd\u7ed3,\u56e0\u6b64\u5b83\u7684\u7f16\u7ec7\u65b9\u5f0f\u4e5f\u5f88\u5947\u7279.\u5728\u7f16\u7ec7\u8fc7\u7a0b\u4e2d\u7684\u6bcf\u4e00\u6b65\u9aa4,kitty\u6709\u65f6\u9700\u8981\u5c06\u4e00\u4e2a\u7ed3\u70b9\u5b50\u6811\u91cc\u7684\u6240\u6709\u7ed3\u70b9i\u7684\u72b6\u6001\u5168\u90e8\u53d6\u53cd\uff08\u5982\u679c\u539f\u6765\u7ed3\u70b9i\u5df2\u7ecf\u6253\u7ed3,\u5219\u89e3\u5f00i,\u5426\u5219\u5c06\u7ed3\u70b9i\u6253\u7ed3\uff09,\u6709\u65f6\u53c8\u9700\u8981\u77e5\u9053\u4e00\u4e2a\u7ed3\u70b9\u7684\u5b50\u6811\u91cc\u6709\u591a\u5c11\u5df2\u7ecf\u6253\u7ed3\u7684\u7ed3\u70b9,\u4f60\u80fd\u5e2e\u52a9\u53ef\u7231\u7684kitty\u5b8c\u6210\u8fd9\u4efd礼\u7269\u5417?<\/p>\n

\u6570\u636e\u89c4\u6a21
\n\u5bf9\u4e8e40% \u7684\u6570\u636e,1\u2264n\u226410000, 1\u2264m\u226420000
\n\u5bf9\u4e8e100%\u7684\u6570\u636e,1\u2264n\u2264100000, 1\u2264m\u2264100000<\/p>\n

\n\u8f93\u5165格\u5f0f<\/h1>\n

\n\u8f93\u5165
\n\u7b2c\u4e00\u884c\u6709\u4e2a\u6574\u6570n,\u8868\u793a\u8fd9\u4e2a\u4e2d\u56fd\u7ed3\u6709n\u4e2a\u7ed3\u70b9
\n\u4ee5\u4e0bn-1\u884c,\u6bcf\u884c\u6709\u4e24\u4e2a\u6574\u6570u\u548cv(1\u2264u,v\u2264n),\u8868\u793a\u7ed3\u70b9u\u548cv\u95f4\u6709\u4e00\u6761\u7ebf\u76f8\u8fde\uff1b
\n\u518d\u4e00\u884c\u6709\u4e2a\u6574\u6570m,\u8868\u793akitty\u8981\u8fdb\u884c\u7684\u6b65\u9aa4\u6570
\n\u4ee5\u4e0bm\u884c,\u6bcf\u884c\u53ef\u80fd\u4e3a:
\n"C x":\u8868\u793a\u5c06\u7ed3\u70b9x\u7684\u5b50\u6811\u4e2d\u6240\u6709\u7ed3\u70b9\u7684\u72b6\u6001\u53d6\u53cd\uff08\u5305\u62ecx\uff09
\n\u6216
\n"Q x":\u8868\u793akitty\u60f3\u77e5\u9053\u7ed3\u70b9x\u7684\u5b50\u6811\u4e2d\u6709\u591a\u5c11\u5df2\u7ecf\u6253\u7ed3\u7684\u7ed3\u70b9\uff08\u5305\u62ecx\uff09<\/p>\n

\n\u8f93\u51fa格\u5f0f<\/h1>\n

\n\u5bf9\u4e8e\u6bcf\u4e2a\u201cQ x\u201d\u8f93\u51fa\u4e00\u884c\u6574\u6570,\u8868\u793a\u7ed3\u70b9x\u7684\u5b50\u6811\u4e2d\u6709\u591a\u5c11\u5df2\u7ecf\u6253\u7ed3\u7684\u7ed3\u70b9\uff08\u5305\u62ecx\uff09<\/p>\n

\n\u6837\u4f8b\u8f93\u5165<\/h1>\n

5
\n1 2
\n1 3
\n2 4
\n2 5
\n5
\nQ 1
\nC 1
\nQ 1
\nC 2
\nQ 1
\n<\/span><\/p>\n

\n\u6837\u4f8b\u8f93\u51fa<\/h1>\n

\n0
\n5
\n2\n<\/p>\n

\nzkw\u7ebf\u6bb5\u6811\u5728\u67d0\u4e2a\u533a\u95f4\u4e0a\u53d6\u53cd\uff08xor 1\uff09 \uff0c\u6c42\u67d0\u4e2a\u533a\u95f4\u7684\u548c<\/span><\/p>\n

\nzkw\u7ebf\u6bb5\u6811\u7684\u6807\u8bb0\u6c38\u4e45\u5316\u5728\u8be5\u9898\u4e2d\u4e0d\u9002\u7528\u3001<\/span><\/p>\n

\n\u6240\u4ee5\u53ef\u4ee5\u8bb0\u4e00\u822c\u7684Lazy\u6807\u8bb0--<\/span><\/p>\n

\n\u5728\u5904\u7406\u533a\u95f4\u65f6\uff0c\u628a\u8fd9\u4e2a\u533a\u95f4\u53ef\u80fd\u7528\u5230\u7684\u70b9\u7684\u6807\u8bb0\u5168\u90e8\u4e0b\u4f20<\/span><\/p>\n

\n\u5904\u7406\u5b8c\u533a\u95f4\u540eupdate\u5de6\u3001\u53f3\u7ed3\u70b9\uff0c\u628a\u533a\u95f4\u4e0a\u4f20\uff08\u8fd9\u6837\u5c31\u80fd\u6d88\u9664\u6807\u8bb0\u4e0a\u65b9\u7ed3\u70b9\u4e3a0\u5bf9\u7ed3\u679c\u7684\u5f71\u54cd)<\/span><\/p>\n

\n\"\"\n<\/p>\n

\n

#include<cstdio>\n#include<cstring>\n#include<cstdlib>\n#include<iostream>\n#include<cmath>\n#include<cctype>\n#include<functional>\n#include<algorithm>\nusing namespace std;\n#define MAXN (100000+10)\n#define MAXm (100000+10)\n#define NDEBUG\nint n,m,M,t[MAXN*10]={0},l[MAXN],r[MAXN];\nbool mark[MAXN*10]={false};\nchar s[50];\nint head[MAXN*2]={0},next[MAXN*2],edge[MAXN*2],size=0;\nvoid addedge(int u,int v)\n{\n\tedge[++size]=v;\n\tnext[size]=head[u];\n\thead[u]=size;\n}\nint tim=0;\nbool b[MAXN]={0};\nvoid dfs(int u)\n{\n\tb[u]=1;l[u]=++tim;\n\tint p=head[u];\n\twhile (p)\n\t{\n\t\tif (!b[edge[p]]) dfs(edge[p]);\n\t\tp=next[p];\n\t}\n\tr[u]=++tim;\n}\nvoid pushdown(int x,int p)\n{\n\tif (!x) return;\n\tpushdown(x>>1,p<<1);\n\tif (mark[x>>1])\n\t{\n\t\tmark[x]^=1;mark[x^1]^=1;mark[x>>1]=0;\n\t\tt[x]=p-t[x];t[x^1]=p-t[x^1];\n\t}\n\tx>>=1;\n\n}\nvoid update(int x)\n{\n\tfor (x>>=1;x;x>>=1) t[x]=t[x<<1]+t[(x<<1)^1];\n}\nint main()\n{\n\t#ifndef NDEBUG\n\tfreopen("RQNOJ60.in","r",stdin);\n\t#endif\n\tscanf("%d",&n);\n\tfor (int i=1;i<n;i++) {int u,v;scanf("%d%d",&u,&v);addedge(u,v);addedge(v,u);\t}\n\tdfs(1);\n\tM=1;while (M-2<r[1]+1) M<<=1;\n\tscanf("%d",&m);\n\t#ifndef NDEBUG\n\/\/\tcout<<M;\n\tfor (int i=1;i<=n;i++) cout<<i<<':'<<l[i]<<'-'<<r[i]<<' ';\n\tcout<<'n';\n\t#endif\n\tfor (int k=1;k<=m;k++)\n\t{\n\t\tint x;\n\t\tscanf("%s%d",s,&x);\n\t\tif (s[0]=='Q')\n\t\t{\n\t\t\tint ans=0,p1=l[x],p2=r[x];\n\t\t\tp1--;p2++;p1+=M;p2+=M;\n\t\t\tpushdown(p1,1);pushdown(p2,1);\n\/\/\t\t\tcout<<"add: ";\n\t\t\t#ifndef NDEBUG\n\t\t\tcout<<p1<<' '<<p2<<endl;\n\t\t\t#endif\n\/\/\t\t\tcout<<mark[10];\n\t\t\twhile (p1^p2^1)\n\t\t\t{\n\t\t\t\tif (~p1&1) {\/*pushdown(p1+1,1);*\/ans+=t[p1+1];\/*cout<<p1+1<<':'<<t[p1+1]<<' ';*\/}\n\t\t\t\tif (p2&1)  {\/*pushdown(p2-1,1);*\/ans+=t[p2-1];\/*cout<<p2-1<<':'<<t[p2-1]<<' ';*\/}\n\t\t\t\tp1>>=1;p2>>=1;\n\t\t\t}\n\t\t\tcout<<ans\/2<<endl;\n\t\t}\n\t\telse\n\t\t{\n\t\t\tint p=1,p1=l[x],p2=r[x];\n\t\t\tp1--;p2++;p1+=M;p2+=M;\n\t\t\tpushdown(p1,1);pushdown(p2,1);\n\t\t\twhile (p1^p2^1)\n\t\t\t{\n\t\t\t\tif (~p1&1) {mark[p1+1]^=1;t[p1+1]=p-t[p1+1];\/*cout<<p1+1<<' ';*\/}\n\t\t\t\tif (p2&1) {mark[p2-1]^=1;t[p2-1]=p-t[p2-1];\/*cout<<p2-1<<' ';*\/}\n\t\t\t\tp1>>=1;p2>>=1;p<<=1;\n\t\t\t}\n\/*\t\t\tfor (int i=1;i<=M*2;i++) if (mark[i]) cout<<i<<':'<<t[i]<<' ';\n\t\t\tcout<<endl;*\/\n\/\/\t\t\tupdate(p1);\n\n\t\t\tupdate(l[x]-1+M);\n\/*\t\t\tfor (int i=1;i<=M*2;i++) if (mark[i]) cout<<i<<':'<<t[i]<<' ';\n\t\t\tcout<<endl;\n*\/\t\t\tupdate(r[x]+1+M);\n\n\t\t}\n\t\t#ifndef NDEBUG\n\t\tfor (int i=1;i<=n;i++) if (mark[i]) cout<<i<<' ';\n\t\tcout<<endl;\n\t\t#endif\n\n\t}\n\n\n\n\treturn 0;\n} <\/pre>\n<\/p>\n
\n<\/p>\n","protected":false},"excerpt":{"rendered":"
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