{"id":326,"date":"2013-02-06T17:04:00","date_gmt":"2013-02-06T09:04:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/231"},"modified":"2013-02-06T17:04:00","modified_gmt":"2013-02-06T09:04:00","slug":"poj_1222_gauss_elimination_the_xor_edition","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=326","title":{"rendered":"POJ 1222(Gauss\u6d88\u5143xor\u7248)"},"content":{"rendered":"\n\n\n
\n
\nEXTENDED LIGHTS OUT<\/div>\n
\n\n\n\n\n
Time Limit:<\/strong> 1000MS<\/td>\n <\/td>\nMemory Limit:<\/strong> 10000K<\/td>\n<\/tr>\n
Total Submissions:<\/strong> 5182<\/td>\n <\/td>\nAccepted:<\/strong> 3403<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Description<\/p>\n

\nLights Out\u5c31\u662f\u4e0b\u56fe\u7684\u6e38\u620f,\u7ed9\u4f60\u4e00\u4e2a5*6\u7684\u77e9\u9635. 
\n
\"\"<\/center>
\n
\n\u4f60\u7684\u76ee\u6807\u662f\u628a\u706f\u5168\u5173\u4e0a. 
\n
\"\"
\n<\/center>
\n
\n0\u8868\u793a\u5173,1\u8868\u793a\u5f00.<\/div>\n

Input<\/p>\n

\n\u7b2c\u4e00\u884c\u4e3a\u6570\u636e\u7ec4\u6570T.<\/div>\n
\n\u5bf9\u4e8e\u6bcf\u7ec4\u6570\u636e,\u8f93\u51651\u4e2a5*6\u7684\u77e9\u9635.<\/div>\n

Output<\/p>\n

\n\u5bf9\u4e8e\u6bcf\u7ec4\u6570\u636e,\u8f93\u51fa\u4e00\u884c "PUZZLE #m".\u63a5\u4e0b\u6765\u4e3a\u8fd8\u539f\u77e9\u9635.<\/div>\n

Sample Input<\/p>\n

2\n0 1 1 0 1 0\n1 0 0 1 1 1\n0 0 1 0 0 1\n1 0 0 1 0 1\n0 1 1 1 0 0\n0 0 1 0 1 0\n1 0 1 0 1 1\n0 0 1 0 1 1\n1 0 1 1 0 0\n0 1 0 1 0 0<\/pre>\n
Sample Output<\/p>\n
PUZZLE #1\n1 0 1 0 0 1\n1 1 0 1 0 1\n0 0 1 0 1 1\n1 0 0 1 0 0\n0 1 0 0 0 0\nPUZZLE #2\n1 0 0 1 1 1\n1 1 0 0 0 0\n0 0 0 1 0 0\n1 1 0 1 0 1\n1 0 1 1 0 1<\/pre>\n
Source<\/p>\n
\nGreater New York 2002<\/a><\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
<\/span><\/p>\n
\u5c31\u662fGauss\u6d88\u5143\u7684xor\u7248\u672c.<\/span><\/p>\n
\u663e\u7136\u82e5 a1 xor a2 xor a3..=an<\/span><\/p>\n
             b1 xor b2 xor b3..=bn<\/span><\/p>\n
        \u5219 (a1 xor b1) xor (a2 xor b2)..=an xor an<\/span><\/p>\n
\u6ee1\u8db3\u6d88\u5143\u6027\u8d28<\/span><\/p>\n
<\/span><\/p>\n
#include<cstdio>\n#include<cstdlib>\n#include<cstring>\n#include<iostream>\n#include<algorithm>\n#include<cmath>\n#include<functional>\nusing namespace std;\nconst int n=5,m=6;\nbool inside(int x){return (x>=0)&&(x<31);}\nstruct E\n{\n\tint a[31];\n\tint& operator[](int p){static int t;if (inside(p)) return a[p]; else return t;}\n\tfriend E operator^(E a,E b)\n\t{\n\t\tfor (int i=0;i<31;i++) a[i]^=b[i];\n\t\treturn a;\n\t}\n};\nstruct M\n{\n\tE a[30];\n\tE& operator[](int p){return a[p];}\n\tM()\n\t{\n\t\/\/\tmemset(a,sizeof(a),0);\n\t\tfor (int i=0;i<30;i++)\n\t\t\tfor (int j=0;j<31;j++) a[i][j]=0;\n\t\tfor(int i=0;i<n*m;i++)\n\t\t{\n\t\t\ta[i][i]=a[i][i+6]=a[i][i-6]=1;\n\t\t\tif (i%6) a[i][i-1]=1;\n\t\t\tif (i%6<5) a[i][i+1]=1;\n\n\t\t}\n\t}\n\tvoid gauss()\n\t{\n\t\tint i=0,j=0,n=30,m=31;\n\t\twhile (i<n&&j<m)\n\t\t{\n\/\/\t\t\tprint();\n\t\t\tint maxi=i;\n\t\t\tfor(int k=i+1;k<n;k++) if (a[k][j]>a[maxi][j]) maxi=k;\n\t\t\tif (a[maxi][j]!=0)\n\t\t\t{\n\t\t\t\tswap(a[maxi],a[i]);\n\t\t\t\tfor(int k=i+1;k<n;k++)\n\t\t\t\t\tif (a[k][j]!=0) a[k]=a[k]^a[i];\n\t\t\t}\n\t\t\ti++;j++;\n\t\t}\n\t\tfor(int i=28;i>=0;i--)\n\t\t{\n\t\t\tfor(int j=i+1;j<30;j++) if (a[i][j]) {a[i][j]=0;a[i][30]^=a[j][30];\t}\n\t\t}\n\t\tfor (int i=0;i<30;i++)\n\t\t{\n\t\t\tcout<<a[i][30];\n\t\t\tif (i%6==5) cout<<endl; else cout<<' ';\n\t\t}\n\t}\n\tvoid print()\n\t{\n\t\tfor (int i=0;i<30;i++)\n\t\t{\n\t\t\tfor (int j=0;j<31;j++) cout<<a[i][j]<<' ';\n\t\t\tcout<<endl;\n\t\t}\n\t\tcout<<"--------------------------------------------------n";\n\t\tsystem("pause");\n\t}\n\n\n}EM;\nint main()\n{\n\/\/\tfreopen("poj1222.in","r",stdin);\n\tint tt;\n\tcin>>tt;\n\tfor(int t=1;t<=tt;t++)\n\t{\n\t\tEM=M();\n\t\tfor(int i=0;i<n*m;i++) cin>>EM[i][30];\n\t\tcout<<"PUZZLE #"<<t<<endl;\n\t\tEM.gauss();\n\n\n\t}\n\treturn 0;\n}\n<\/pre>\n<\/p>\n

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

\n<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
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