Submission #5189

#	Time	Username	Problem	Language	Result	Execution time	Memory
5189		cki86201	초록색 삼각형 (YDX13_green)	C++98	1 / 1	1208 ms	1356 KiB

C

#include<stdio.h>
#include<algorithm>
#include<math.h>

typedef long long ll;

const double PI = 3.14159265358979;

int x[2020], y[2020], ord[2020];
double an[2020];
int n;

bool comp(const int &a,const int &b){return an[a] < an[b];}

int main()
{
	scanf("%d",&n);
	int i, j;
	for(i=1;i<=n;i++)scanf("%d%d",x+i,y+i);
	if(n<=2)return printf("0")&0;
	if(n == 3){
		ll tmp = (ll)(x[2]-x[1])*(y[3]-y[1]) - (ll)(x[3]-x[1])*(y[2]-y[1]);
		printf("%.12f\n",tmp>0?tmp/2.0:-tmp/2.0);
		return 0;
    }
	for(i=1;i<=n;i++)ord[i] = i;
	double ans = 0;
	for(i=1;i<=n;i++){
		for(j=1;j<=n;j++)an[j] = atan2(y[j] - y[i], x[j] - x[i]);
		std::sort(ord+1,ord+1+n,comp);
		ll now[2] = {0,0};
		int t = 1;
		double na = 0;
		for(j=1;j<=n;j++){
			int nj = ord[j];
			if(j>1)na -= fmod(an[ord[j]] - an[ord[j-1]] + 2*PI, 2*PI);
			while(na < PI){
				now[0] += x[ord[t]] - x[i];
				now[1] += y[ord[t]] - y[i];
				na += fmod(an[ord[t%n+1]] - an[ord[t]] + 2*PI, 2*PI);
				t = t%n + 1;
			}
			now[0] -= x[nj] - x[i], now[1] -= y[nj] - y[i];
			ans += ((double)now[1]/n/(n-1)/(n-2)) * (x[nj] - x[i]) - ((double)now[0]/n/(n-1)/(n-2)) * (y[nj] - y[i]);
		}
	}
	printf("%.12f",ans);
	return 0;
}

• Subtask 1: 1 / 1