{"id":275,"date":"2012-11-20T08:43:00","date_gmt":"2012-11-20T00:43:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/180"},"modified":"2012-11-20T08:43:00","modified_gmt":"2012-11-20T00:43:00","slug":"cf_242e_the_zkw_segment_tree_-_demolition_bit","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=275","title":{"rendered":"CF 242E(zkw\u7ebf\u6bb5\u6811-\u62c6\u4f4d\uff09"},"content":{"rendered":"
\n
\n
\n
\n
\n
E. XOR on Segment<\/div>\n
\n
\ntime limit per test<\/div>\n

4 seconds<\/p><\/div>\n

\n
\nmemory limit per test<\/div>\n

256 megabytes<\/p><\/div>\n

\n
\ninput<\/div>\n

standard input<\/p><\/div>\n

\n
\noutput<\/div>\n

standard output<\/p><\/div>\n<\/div>\n

\n

\n\u5bf9\u4e8e\u6570\u7ec4\uff0ca<\/em>1<\/sub>,\u2009a<\/em>2<\/sub>,\u2009...,\u2009a<\/em>n<\/em><\/sub><\/span>.
\n \u8bf7\u7ef4\u62a42\u4e2a\u64cd\u4f5c\u3002<\/p>\n

\n

    \n
  1. \n\u533a\u95f4[l<\/em>,\u2009r<\/em>]<\/span>, \u6c42\u548c.<\/li>\n
  2. \n\u5c06\u533a\u95f4 [l<\/em>,\u2009r<\/em>]<\/span>,\u4e0a\u7684\u6570\u5f02\u6216x<\/li>\n<\/ol>\n<\/div>\n
    \n
    \nInput<\/div>\n

    \n\u7b2c\u4e00\u884c\u4e3a\u6570\u7ec4\u5927\u5c0f n<\/em><\/span> (1\u2009\u2264\u2009n<\/em>\u2009\u2264\u2009105<\/sup><\/span>), \u7b2c\u4e8c\u884c\u4e3a\u6570\u7ec4<\/span> a<\/em>1<\/sub>,\u2009a<\/em>2<\/sub>,\u2009...,\u2009a<\/em>n<\/em><\/sub><\/span>(0\u2009\u2264\u2009a<\/em>i<\/em><\/sub>\u2009\u2264\u2009106<\/sup><\/span>) <\/p>\n

    \n\u7b2c\u4e09\u884c\u4e3a\u64cd\u4f5c\u6570 m<\/em><\/span> (1\u2009\u2264\u2009m<\/em>\u2009\u2264\u20095\u00b7104<\/sup><\/span>),\u63a5\u4e0b\u6765\u6bcf\u884c\u7b2c1\u4e2a\u6570t<\/em>i<\/em><\/sub><\/span> (1\u2009\u2264\u2009t<\/em>i<\/em><\/sub>\u2009\u2264\u20092<\/span>)
    \n \u8868\u793a\u8fdb\u884c\u7b2ci\u79cd\u64cd\u4f5c. \u20181
    \nl<\/em>i<\/em><\/sub>,\u2009r<\/em>i<\/em><\/sub><\/span> \u2018(1\u2009\u2264\u2009l<\/em>i<\/em><\/sub>\u2009\u2264\u2009r<\/em>i<\/em><\/sub>\u2009\u2264\u2009n<\/em><\/span>)\u8868\u793a[l,r]\u6c42\u548c.\u20182 l<\/em>i<\/em><\/sub>,\u2009r<\/em>i<\/em><\/sub>,\u2009x<\/em>i<\/em><\/sub><\/span> (1\u2009\u2264\u2009l<\/em>i<\/em><\/sub>\u2009\u2264\u2009r<\/em>i<\/em><\/sub>\u2009\u2264\u2009n<\/em>,\u20091\u2009\u2264\u2009x<\/em>i<\/em><\/sub>\u2009\u2264\u2009106<\/sup><\/span>)\u8868\u793a\u5c06\u533a\u95f4 <\/span>[l<\/em>,\u2009r<\/em>]<\/span>,\u4e0a\u7684\u6570\u5f02\u6216x<\/span><\/p>\n<\/div>\n

    \n
    \nOutput<\/div>\n

    \n\u8f93\u51fa\u6240\u6709\u64cd\u4f5c1\u7684\u7ed3\u679c\u3002<\/p>\n

    \n\u4e0d\u8981\u7528%lld<\/span> \u5360\u4f4d\u7b26\uff0c\u6539\u7528\u8f93\u5165\u8f93\u51fa\u6d41\u6216%I64\u5360\u4f4d\u7b26<\/span>.<\/p>\n<\/div>\n

    \n
    \nSample test(s)<\/div>\n
    \n
    \n
    \ninput<\/div>\n
    5\n4 10 3 13 7\n8\n1 2 4\n2 1 3 3\n1 2 4\n1 3 3\n2 2 5 5\n1 1 5\n2 1 2 10\n1 2 3\n<\/pre>\n<\/div>\n
    \n
    \noutput<\/div>\n
    26\n22\n0\n34\n11\n<\/pre>\n<\/div>\n
    \n
    \ninput<\/div>\n
    6\n4 7 4 0 7 3\n5\n2 2 3 8\n1 1 5\n2 3 5 1\n2 4 5 6\n1 2 3\n<\/pre>\n<\/div>\n
    \n
    \noutput<\/div>\n
    38\n28<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
    \u8fd9\u9898\u662fxor\u62c6\u4f4d\u6cd5\u7684\u8fd0\u7528<\/span><\/p>\n
    \u663e\u7136\u6211\u4eec\u53ef\u4ee5\u7528t[i,j]\u8868\u793a\u7b2ci\u4f4d\u4e0a\u76841\u7684\u4e2a\u6570\uff0c\u4e4b\u540e\u6c42\u548c\u7edf\u8ba1\uff08\u8fd9\u662fxor\u64cd\u4f5c\u4f18\u5316\u7684\u5e38\u7528\u624b\u6bb5\uff09<\/span><\/p>\n
    zkw\u7ebf\u6bb5\u6811\u52a0Lazy\u6807\u8bb0\u65f6\uff0c\u7528tot[]\u8868\u793a\u533a\u95f4\u4e0a\u7684\u603b\u6570(\u5176\u5b9e\u4e5f\u53ef\u4ee5\u65f6\u4e8b\u7b97\u51fa\u6765\uff09<\/span><\/p>\n

    \n<\/span><\/p>\n<\/p>\n
    #include<cstdio>\n#include<cstring>\n#include<cstdlib>\n#include<cmath>\n#include<cctype>\n#include<iostream>\nusing namespace std;\n#define MAXN (100000+10)\n#define MAXAi (1000000+10)\n#define LogMAXAi (20)\n#define MAXm (50000)\n#define NDEBUG\nint n,m,M,t[LogMAXAi+10][MAXN*10],tot[MAXN*10]={0};\nbool b[LogMAXAi+10][MAXN*10]={0};\nvoid build_tree()\n{\n\tfor (int i=M+1;i<=M+n;i++) tot[i]=1;\n\tfor (int i=M-1;i>=1;i--) tot[i]=tot[i<<1]+tot[(i<<1)^1];\n\n}\nlong long count_a_tree_node(int x)\n{\n\tlong long ans=0;\n\tfor (int i=0,p=1;i<20;i++,p<<=1) ans+=(long long)(p)*(long long)(t[i][x]);\n\treturn ans;\n}\nlong long quere(int l,int r)\n{\n\tlong long ans=0;\n\tl--;r++;\n\tl+=M;r+=M;\n\twhile (l^r^1)\n\t{\n\t\tif (~l&1) ans+=count_a_tree_node(l+1);\n\t\tif (r&1) ans+=count_a_tree_node(r-1);\n\t\tl>>=1;r>>=1;\n\t}\n\treturn ans;\n}\nvoid pushdown(int x)\n{\n\tif (x!=1) pushdown(x>>1);\n\tfor (int i=0;i<20;i++)\n\t{\n\t\tif (b[i][x])\n\t\t{\n\t\t\tt[i][x<<1]=tot[x<<1]-t[i][x<<1];\n\t\t\tt[i][(x<<1)^1]=tot[(x<<1)^1]-t[i][(x<<1)^1];\n\t\t\tb[i][x]=0;b[i][x<<1]^=1;b[i][(x<<1)^1]^=1;\n\t\t}\n\t}\n}\nvoid update(int x)\n{\n\tfor (int i=0;i<20;i++)\n\t{\n\t\tint xx=x;\n\t\tfor (x>>=1;x;x>>=1)\n\t\t\tt[i][x]=t[i][x<<1]+t[i][(x<<1)^1];\n\t\tx=xx;\n\t}\n}\nvoid a_t_xor(int j,int l,int r)\n{\n\tl--;r++;\n\tl+=M;r+=M;\n\twhile (l^r^1)\n\t{\n\t\tif (~l&1) {t[j][l+1]=tot[l+1]-t[j][l+1];b[j][l+1]^=1;\t}\n\t\tif (r&1) {t[j][r-1]=tot[r-1]-t[j][r-1];b[j][r-1]^=1;\t}\n\t\tl>>=1;r>>=1;\n\t}\n}\nvoid t_xor(int l,int r,int x)\n{\n\tfor (int i=0;x;i++,x>>=1) {if (x&1) a_t_xor(i,l,r);\t}\n}\nint main()\n{\n\/\/\tfreopen("CF_242E.in","r",stdin);\n\tmemset(t,0,sizeof(t));\n\tscanf("%d",&n);\n\tM=1;while (M-2<n) M<<=1; \/\/cout<<M<<endl;\n\tfor (int i=M+1;i<=M+n;i++)\n\t{\n\t\tscanf("%d",&t[0][i]);\n\t\tint j=0;\n\t\twhile (t[j][i]) {t[j+1][i]=t[j][i]\/2;t[j][i]&=1;j++;}\n\t}\n\tfor (int j=0;j<=19;j++)\n\t{\n\t\tfor (int i=M-1;i>=1;i--) t[j][i]=t[j][i<<1]+t[j][(i<<1)^1];\n\t}\n\t#ifndef NDEBUG\n\tfor (int i=1;i<=M+n;i++)\n\t{\n\t\tfor (int j=0;j<=19;j++) cout<<t[j][i]<<' ';\n\t\tcout<<endl;\n\t}\n\t#endif\n\tbuild_tree();\n\t\/*\n\tfor (int i=1;i<=M+n;i++) cout<<tot[i]<<' ';\n\tcout<<endl;\n\t*\/\n\tscanf("%d",&m);\n\twhile (m)\n\t{\n\t\tint p;\n\t\tscanf("%d",&p);\n\t\tif (p==1)\n\t\t{\n\t\t\tint l,r;scanf("%d%d",&l,&r);\n\t\t\tpushdown(l-1+M);pushdown(r+1+M);\n\t\t\tcout<<quere(l,r)<<endl;\n\t\t}\n\t\telse\n\t\t{\n\t\t\tint l,r,x;\n\t\t\tscanf("%d%d%d",&l,&r,&x);\n\t\t\tpushdown(l-1+M);pushdown(r+1+M);\n\t\t\tt_xor(l,r,x);\n\t\t\tupdate(l-1+M);update(r+1+M);\n\t\t}\n\n\t\t#ifndef\tNDEBUG\n\t\tfor (int i=1;i<=M+n;i++)\n\t\t{\n\t\t\tfor (int j=0;j<=19;j++) cout<<t[j][i]<<' ';\n\t\t\tcout<<endl;\n\t\t}\n\t\t#endif\n\t\tm--;\n\t}\n\treturn 0;\n}<\/pre><\/p>\n","protected":false},"excerpt":{"rendered":"
    E. 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