题意:给你多边形 让你判断每个多边形分别有几个多边形与它相交。
这题的输入输出恶心,另外给出正方形对角点求出另两个点的公式
已知一正方形两对角顶点A、C的坐标分别是(ax, ay)、(cx, xy);
求B、D坐标(bx, by)、(dx, dy);
bx = (cx+ax+cy-ay)/2;
by = (cy+ay+ax-cx)/2;
dx = (cx+ax+ay-cy)/2;
dy = (cy+ay+cx-ax)/2;
再就没什么主意的地方,按照模拟吧。我的代码4768B,应该是现在写过最长的吧,这代码莫名其妙C++ CE了要G++。
#include
#include
#include
#include
using namespace std;
typedef double PointType;
struct point
{
PointType x,y;
};
struct polygon
{
int num,ansnum;
point p[22];
char ans[30],name;
};
int n;
polygon data[30];
PointType Direction(point pi,point pj,point pk) //判断向量PiPj在向量PiPk的顺逆时针方向 +顺-逆0共线
{
return (pj.x-pi.x)*(pk.y-pi.y)-(pk.x-pi.x)*(pj.y-pi.y);
}
bool On_Segment(point pi,point pj,point pk)
{
if(pk.x>=min(pi.x,pj.x)&&pk.x<=max(pi.x,pj.x)&&pk.y>=min(pi.y,pj.y)&&pk.y<=max(pi.y,pj.y))
return 1;
return 0;
}
bool Segment_Intersect(point p1,point p2,point p3,point p4)
{
PointType d1=Direction(p3,p4,p1),d2=Direction(p3,p4,p2),d3=Direction(p1,p2,p3),d4=Direction(p1,p2,p4);
if(((d1>0&&d2<0)||(d1<0&&d2>0))&&((d3>0&&d4<0)||(d3<0&&d4>0)))
return 1;
if(d1==0&&On_Segment(p3,p4,p1))
return 1;
if(d2==0&&On_Segment(p3,p4,p2))
return 1;
if(d3==0&&On_Segment(p1,p2,p3))
return 1;
if(d4==0&&On_Segment(p1,p2,p4))
return 1;
return 0;
}
void getcoordinate(string a,double &x,double &y)
{
int b[2]= {0,0};
int f=0;
for(int i=0,j=0; i='0'&&a[i]<='9')
{
if(f)
b[j]=b[j]*10-(a[i]-'0');
else
b[j]=b[j]*10+a[i]-'0';
}
else if(a[i]==',')
j++,f=0;
}
x=b[0],y=b[1];
}
void getp(int num)
{
double x,y;
string coordinate;
for(int i=0; i>coordinate;
getcoordinate(coordinate,x,y);
data[n].p[i].x=x,data[n].p[i].y=y;
}
}
void getnum(string s)
{
int x,y;
string coordinate;
if(s=="line")
data[n].num=2,getp(data[n].num);
if(s=="triangle")
data[n].num=3,getp(data[n].num);
if(s=="square")
{
double x1[4],y1[4];
data[n].num=4;
cin>>coordinate;
getcoordinate(coordinate,x1[0],y1[0]);
cin>>coordinate;
getcoordinate(coordinate,x1[2],y1[2]);
x1[1]=(x1[2]+x1[0]+y1[2]-y1[0])/2;
y1[1]=(y1[2]+y1[0]+x1[0]-x1[2])/2;
x1[3]=(x1[2]+x1[0]-y1[2]+y1[0])/2;
y1[3]=(y1[2]+y1[0]-x1[0]+x1[2])/2;
for(int i=0; i<4; i++)
data[n].p[i].x=x1[i],data[n].p[i].y=y1[i];
}
if(s=="rectangle")
{
double x1[4],y1[4],x2,y2;
data[n].num=4;
cin>>coordinate;
getcoordinate(coordinate,x1[0],y1[0]);
cin>>coordinate;
getcoordinate(coordinate,x1[1],y1[1]);
cin>>coordinate;
getcoordinate(coordinate,x1[2],y1[2]);
x2=x1[2]-x1[1],y2=y1[2]-y1[1];
x1[3]=x1[0]+x2,y1[3]=y1[0]+y2;
for(int i=0; i<4; i++)
data[n].p[i].x=x1[i],data[n].p[i].y=y1[i];
}
if(s=="polygon")
{
int t;
cin>>t;
data[n].num=t,getp(t);
}
}
bool judge(polygon a,polygon b)
{
for(int i=0; i>c)
{
if(c=='.')
return 0;
if(c=='-')
break;
cin>>s;
data[n].name=c;
getnum(s);
n++;
}
solve();
output();
}
return 0;
}