#include<iostream>
#include<cstdio>
using namespace std;
int xx[15], yy[15], x[15], y[15], a[15], b[15];
bool calc(int t1, int t2, int t3, int t4)
{
	for(int i = 1; i <= 4; ++i)
		xx[i] = x[i], yy[i] = y[i];
	for(int i = 1; i <= t1; ++i)
	{
		int z = xx[1];
		xx[1] = a[1] - yy[1];
		yy[1] = z - b[1];
	}
	for(int i = 1; i <= t2; ++i)
	{
		int z = xx[2];
		xx[2] = a[2] -yy[2];
		yy[2] = z - b[2];
	}
	for(int i = 1; i <= t3; ++i)
	{
		int z = xx[3];
		xx[3] = a[3] -yy[3];
		yy[3] = z - b[3];
	}
	for(int i = 1; i <= t4; ++i)
	{
		int z = xx[4];
		xx[4] = a[4] -yy[4];
		yy[4] = z - b[4];
	}
	xx[5] = xx[1], yy[5] = yy[1];
	if(t1 == 2 && !t2 && t3 == 1 && !t4)
	{
		for(int i = 1; i <= 4; ++i)
		{
//			cout << xx[i] << ' ' << yy[i] << endl;
		}
	}
	for(int i = 1; i <= 4; ++i)
	{
		if(xx[i] * xx[i + 1] + yy[i] * yy[i + 1] != 0)
		{
			if(xx[i] != xx[i + 1] || yy[i] != yy[i + 1])
				return 0;
		}
	}
	for(int i = 1; i <= 4; ++i)
	{
		for(int j = i + 1; j <= 4; ++j)
		{
			if(xx[i] == xx[j] && yy[i] == yy[j])
				return 0;
		}
	}
/*	for(int i = 1; i <= 4; ++i)
	{
		cout << xx[i] + a[i] << ' ' << yy[i] + b[i] << endl;
	}      */
	return 1;
}
int n;
int main()
{
	freopen("in", "r", stdin);
//	freopen("out", "w", stdout);
	ios::sync_with_stdio(0);
	cin.tie(0);
	cin >> n;
	for(int i = 1; i <= n; ++i)
	{
		int ans = (int)(1e9);
		for(int j = 1; j <= 4; ++j)
		{
			cin >> x[j] >> y[j] >> a[j] >> b[j];
			x[j] -= a[j], y[j] -= b[j];
		}
		for(int t1 = 0; t1 <= 3; ++ t1)
			for(int t2 = 0; t2 <= 3; ++t2)
				for(int t3 = 0; t3 <= 3; ++t3)
					for(int t4 = 0; t4 <= 3; ++t4)
						if(calc(t1, t2, t3, t4))
						{
						//	cout << t1 + t2 + t3 + t3 << endl;
							ans = min(ans, t1 + t2 + t3 + t4);
						}
		cout << (ans == (int)(1e9) ? -1 : ans) << "\n";;;
	}
}