记录编号 97304 评测结果 AAAAAAAAAA
题目名称 [USACO Jan14]奶牛冰壶运动 最终得分 100
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代码语言 C++ 运行时间 0.226 s
提交时间 2014-04-18 12:10:38 内存使用 1.46 MiB
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#include<cstdio>
#include<iostream>
#include<algorithm>
using namespace std;
#define N 50005
#define inf ~0U>>2
struct re{
	int x,y;
} pa[N],pb[N],res[N];
int n,size,maxx,maxy,minx,miny,ans,ex;
long long area;
bool cmp(const re &a,const re &b){
	if (a.y<b.y) return 1;
	if (a.y>b.y) return 0;
	return (a.x<b.x);
}
inline long long xmulti(re a,re b,re c){
	long long x1=(long long)(b.x-a.x),x2=(long long)(c.x-a.x);
	long long y1=(long long)(b.y-a.y),y2=(long long)(c.y-a.y);
	return (x1*y2-x2*y1);
}
inline long long labs(long long x){
	if (x>=0) return x;
	else return -x;
}
void convex1(){
	int i;
	res[0]=pa[1];
	res[1]=pa[2];
	size=1;
	for(i=3;i<=n;++i)
	{
	  	while(size>0 && xmulti(res[size-1],res[size],pa[i])<0) size--;
	  	res[++size]=pa[i];
	}
	for(i=n-1;i>=1;--i){
	  	while(size>0 && xmulti(res[size-1],res[size],pa[i])<0) size--;
	  	res[++size]=pa[i];
	}
	maxx=maxy=-inf;
	minx=miny=inf;
	for(i=1;i<=size;++i){
		if (res[i].x>maxx) maxx=res[i].x;
		if (res[i].x<minx) minx=res[i].x;
		if (res[i].y>maxy) maxy=res[i].y;
		if (res[i].y<miny) miny=res[i].y;
	}
	area=0;
	for(i=1;i<=size;++i)
	 area+=(long long)res[i-1].x*(long long)res[i].y-(long long)res[i].x*(long long)res[i-1].y;
}
void convex2(){
	int i;
	res[0]=pb[1];
	res[1]=pb[2];
	size=1;
	for(i=3;i<=n;++i)
	{
	  	while(size>0 && xmulti(res[size-1],res[size],pb[i])<0) size--;
	  	res[++size]=pb[i];
	}
	for(i=n-1;i>=1;--i){
	  	while(size>0 && xmulti(res[size-1],res[size],pb[i])<0) size--;
	  	res[++size]=pb[i];
	}
	maxx=maxy=-inf;
	minx=miny=inf;
	for(i=1;i<=size;++i){
		if (res[i].x>maxx) maxx=res[i].x;
		if (res[i].x<minx) minx=res[i].x;
		if (res[i].y>maxy) maxy=res[i].y;
		if (res[i].y<miny) miny=res[i].y;
	}
	area=0;
	for(i=1;i<=size;++i)
	 area+=(long long)res[i-1].x*(long long)res[i].y-(long long)res[i].x*(long long)res[i-1].y;
}
bool ok(re p){
	if (p.x>maxx || p.x<minx || p.y>maxy || p.y<miny) return false;
	long long sum=0;
	for(int i=1;i<=size;++i)
	sum+=labs((long long)(res[i-1].x-p.x)*(long long)(res[i].y-p.y)-(long long)(res[i].x-p.x)*(long long)(res[i-1].y-p.y));
	if (sum==area) return true;
	return false;
}
int main(){
	freopen("curling.in","r",stdin);
	freopen("curling.out","w",stdout);
	cin>>n;
	int i;
	for(i=1;i<=n;++i){
		scanf("%d%d",&pa[i].x,&pa[i].y);
	}
	for(i=1;i<=n;++i){
		scanf("%d%d",&pb[i].x,&pb[i].y);
	}
	sort(pa+1,pa+n+1,cmp);
	sort(pb+1,pb+n+1,cmp);
	convex1();
	ans=0;
	for(i=1;i<=n;++i){
		if (ok(pb[i])) ans++;
		if (pb[i].y>maxy) break;
	}
	printf("%d ",ans);
	ans=0;
	convex2();
	for(i=1;i<=n;++i){
		if (ok(pa[i])) ans++;
		if (pa[i].y>maxy) break;
	}
	printf("%d\n",ans);
	return 0;
}