Triangle Partition 

Suppose that a triangle and a number of points inside the triangle are given. Your job is to find a partition of the triangle so that the set of the given points are divided into three subsets of equal size.

Let A, B and C denote the vertices of the triangle. There are n points, P₁, P₂, ...,P_n, given inside $\triangle$ABC. You are requested to find a point Q such that each of the three triangles $\triangle$QBC, $\triangle$QCA and $\triangle$QAB contains the same number of points. Points on the boundary line are counted in both triangles. For example, a point on the line QA is counted in $\triangle$QCA and also in $\triangle$QAB. If Q coincides a point, the point is counted in all three triangles.

It can be proved that there always exists a point Q satisfying the above condition. The problem will be easily understood from the figure below.

Input 

The input consists of multiple data sets, each representing a set of points. A data set is given in the following format.

$$\begin{array}{cc} n & \\ x_1 & y_1 \\ x_2 & y_2 \\ \dots & \\ x_n & y_n \end{array}$$

The first integer n is the number of points, such that $1 \leŸ n \leŸ 300$. The coordinate of a point P_i is given by (x_i,y_i). x_i and y_i are integers between 0 and 1000.

The coordinates of the triangle ABC are fixed. They are A(0, 0), B(1000, 0) and C(0, 1000).

Each of P_i is located strictly inside the triangle ABC, not on the side BC, CA nor AB. No two points can be connected by a straight line running through one of the vertices of the triangle. Speaking more precisely, if you connect a point P_i with the vertex A by a straight line, another point P_j never appears on the line. The same holds for B and C.

The end of the input is indicated by a 0 as the value of n.

Output 

For each data set, your program should output the coordinate of the point Q. The format of the output is as follows.

$$q_x \ q_y$$

For each data set, a line of this format should be given. No extra lines are allowed. On the contrary, any number of space characters may be inserted before q_x, between q_x and q_y, or after q_y.

Each of q_x and q_y should be represented by a fractional number (e.g., 3.1415926) but not with an exponential part (e.g., 6.023e+23 is not allowed). At least seven digits should follow the decimal point.

Note that there is no unique ``correct answer'' in this problem. In general, there are infinitely many points which satisfy the given condition. Your result may be any one of these ``possible answers''.

In your program, you should be careful to minimize the effect of numeric errors in the handling of floating-point numbers. However, it seems inevitable that some rounding errors exist in the output. We expect that there is an error of $0.5 \times 10^{-4}$ in the output, and will judge your result accordingly.

Sample Input 

3
100 500
200 500
300 500
5
100 300
100 600
200 100
200 700
500 100
0

Sample Output 

166.6666666 555.5555555
275.0000000 145.0000000

Note: As mentioned above, the results shown here are not the only solutions. Many other coordinates for the point Q are also acceptable.