{"id":318,"date":"2013-01-23T09:03:00","date_gmt":"2013-01-23T01:03:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/223"},"modified":"2013-01-23T09:03:00","modified_gmt":"2013-01-23T01:03:00","slug":"poj_2954_pick_formula","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=318","title":{"rendered":"POJ 2954(Pick\u516c\u5f0f)"},"content":{"rendered":"\n\n\n
\n
Language:\n\n\n\n
Time Limit:<\/strong> 1000MS<\/td>\n <\/td>\nMemory Limit:<\/strong> 65536K<\/td>\n<\/tr>\n
Total Submissions:<\/strong> 4203<\/td>\n <\/td>\nAccepted:<\/strong> 1858<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Description<\/p>\n

\n

\u6c42\u51fa\u4e00\u4e2a\u5df2\u77e53\u70b9\u5750\u6807\u7684格\u70b9\u4e09\u89d2\u5f62\u7684\u91cc\u9762(\u8fb9\u4e0a\u7684\u4e0d\u7b97)\u6709\u591a\u5c11\u70b9.<\/p>\n<\/div>\n

Input<\/p>\n

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

\u591a\u7ec4\u6570\u636e\u3002\u6bcf\u4e00\u884c\u8f93\u5165x<\/em>1<\/sub>, y<\/em>1<\/sub>, x<\/em>2<\/sub>, y<\/em>2<\/sub>, x<\/em>3<\/sub>,y<\/em>3<\/sub>, \u8868\u793a格\u70b9\u4e09\u89d2\u5f62 (x<\/em>1<\/sub>, y<\/em>1<\/sub>), (x<\/em>2<\/sub>, y<\/em>2<\/sub>),
\n (x<\/em>3<\/sub>, y<\/em>3<\/sub>), \u221215000 \u2264 x<\/em>1<\/sub>, y<\/em>1<\/sub>, x<\/em>2<\/sub>, y<\/em>2<\/sub>, x<\/em>3<\/sub>, y<\/em>3<\/sub> \u2264 15000. \u6570\u636e\u4ee56\u4e2a0\u7ed3\u5c3e.<\/p>\n<\/div>\n

Output<\/p>\n

\n

\u6bcf\u7ec4\u6570\u636e\u8f93\u51fa\u4e00\u884c\uff0c\u8868\u793a格\u70b9\u4e09\u89d2\u5f62\u91cc\u9762\u7684\u70b9\u6570.<\/p>\n<\/div>\n

Sample Input<\/p>\n

0 0 1 0 0 1\n0 0 5 0 0 5\n0 0 0 0 0 0<\/pre>\n
Sample Output<\/p>\n
0\n6<\/pre>\n
Source<\/p>\n
\nStanford Local 2004<\/a><\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
<\/p>\n
Pick\u5b9a\u7406\uff1aS=I+E\/2-1<\/strong> (E\u8868\u793a格\u70b9\u591a\u8fb9\u5f62\u8fb9\u4e0a\u7684\u70b9,I\u8868\u793a格\u70b9\u591a\u8fb9\u5f62\u5185\u7684\u70b9)<\/span><\/p>\n
Pick\u63a8\u8bba\uff1a格\u70b9\u591a\u8fb9\u5f62S=0.5k (k\u662f\u6b63\u6574\u6570)<\/strong><\/span><\/p>\n

\n<\/span><\/p>\n
\u8fb9\u4e0a格\u70b9\u6570\u516c\u5f0f\uff1a<\/strong><\/span>\u7ebf\u6bb5(x1,y1)-(x2,y2)\u7684格\u70b9\u6570=gcd(abs(x1-x2),abs(y1-y2))+1<\/strong><\/span><\/p>\n

\n<\/span><\/p>\n
<\/span><\/p>\n
#include<cstdio>\n#include<cstdlib>\n#include<cstring>\n#include<cmath>\n#include<iostream>\n#include<algorithm>\n#include<functional>\nusing namespace std;\n#define MAXX (15000)\nint n;\nint gcd(int a,int b){if (a<b) swap(a,b);if (b==0) return a;else return gcd(b,a%b);}\nstruct P\n{\n\tint x,y;\n\tP(){}\n\tP(int _x,int _y):x(_x),y(_y){}\n\tfriend istream& operator>>(istream& cin,P &a){cin>>a.x>>a.y;return cin;\t}\n\tfriend bool operator||(bool b,P &a){return b||a.x||a.y;}\n}a[3];\nstruct S\n{\n\tP s,t;\n\tS(){}\n\tS(P _s,P _t):s(_s),t(_t){}\n\tfriend bool operator||(bool b,S &a){return b||a.s||a.t;}\n\tfriend bool operator||(S &a,S &b){return 0||a||b;}\n\tint dx(){return abs(t.x-s.x);}\n\tint dy(){return abs(t.y-s.y);}\n\tint E(){return gcd(dx(),dy())+1;}\n};\nstruct T\n{\n\tS c[3];\n\tS& operator[](int i){return c[i];}\n\tfriend istream& operator>>(istream& cin,T &c){cin>>a[0]>>a[1]>>a[2];c[0]=S(a[0],a[1]);c[1]=S(a[1],a[2]);c[2]=S(a[2],a[0]);return cin;}\n\tfriend bool operator&&(bool b,T &a){return b&&(a[0]||a[1]||a[2]);}\n\tint area2(){return c[0].s.x*c[1].s.y+c[1].s.x*c[2].s.y+c[2].s.x*c[0].s.y-c[1].s.x*c[0].s.y-c[2].s.x*c[1].s.y-c[0].s.x*c[2].s.y;}\n\tint E(){return c[0].E()+c[1].E()+c[2].E()-3;}\n\tdouble _S(){return (double)abs(area2())\/2;}\n\tint I(){return _S()-E()\/2+1;}\n}c;\nint main()\n{\n\twhile (cin>>c&&c)\n\t{\n\t\tcout<<c.I()<<endl;\n\t}\n\treturn 0;\n}<\/pre>\n<\/p>\n
<\/p>\n","protected":false},"excerpt":{"rendered":"
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