POJ 2002 Squares hash/计算几何

题意: 给出一些坐标点,求出能构成的正方形的个数。
题解:此题也可用二分查找。

#include <iostream>
using namespace std;

#define prime 9973

struct point
{
	int x, y;
} a[1010];

struct node
{
	int x, y,flag;
} hash[prime][20];

void insert( int tx, int ty  )
{
	int index = (tx*tx+ty*ty) % prime;
	int k = 0;
	while ( hash[index][k].flag != 0 ) ++k;
	hash[index][k].x = tx;
	hash[index][k].y = ty;
	hash[index][k].flag = 1;
}

bool check ( int tx, int ty )
{
	int index = (tx*tx + ty*ty) % prime;
	int k = 0;
	while ( hash[index][k].flag != 0 )
	{
		if ( hash[index][k].x == tx && hash[index][k].y == ty )
			return true;
		++k;
	}
	return false;
}
	
int main()
{
	int n, ans, dx, dy, i, j;
	while ( scanf("%d",&n) && n )
	{
		ans = 0;
		memset(a,0,sizeof(a));
		memset(hash,0,sizeof(hash));
		for ( i = 0; i < n; ++i )
		{
			scanf("%d%d",&a[i].x,&a[i].y); 
			insert ( a[i].x, a[i].y );
		}
		for ( i = 0; i < n-1; ++i )
			for ( j = i+1; j < n; ++j )
			{
				dx = a[i].x - a[j].x;
				dy = a[i].y - a[j].y;
			if ( check(a[i].x - dy, a[i].y + dx) && check(a[j].x - dy, a[j].y + dx) )
				++ans;
			if ( check(a[i].x + dy, a[i].y - dx) && check(a[j].x + dy, a[j].y - dx) )
				++ans;
			}
		printf("%d\n",ans/4);
	}	
	return 0;
}


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