Title Description

The course of Software Design and Development Practice is objectionable. $\text{ZLC}$ is facing a serious problem .There are many points in $K$-dimensional space .Given a point. $\text{ZLC}$ need to find out the closest m points.

Euclidean distance is used as the distance metric between two points. The Euclidean distance between points $p$ and $q$ is the length of the line segment connecting them.In Cartesian coordinates, if $p = (p_1, p_2,\ldots, p_n)$ and $q = (q_1, q_2,\ldots, q_n)$ are two points in Euclidean $n$-space, then the distance from $p$ to $q$, or from $q$ to $p$ is given by:

$$D(p,q)=D(q,p)=\sqrt{(q_1-p_1)^2+(q_2-p_2)^2+(q_3-p_3)^2\ldots+(q_n-p_n)^2} $$

Can you help him solve this problem?

Input format

In the first line of the text file .there are two non-negative integers $n$ and $K$. They denote respectively: the number of points, and the number of Dimensions.

In each of the following $n$ lines there is written $k$ integers, representing the coordinates of a point. This followed by a line with one positive integer $t$, representing the number of queries.

Each query contains two lines. The $k$ integers in the first line represent the given point. In the second line, there is one integer $m$, the number of closest points you should find.

The absolute value of all the coordinates will not be more than $10000$.

There are multiple test cases. Process to end of file.

Output format

For each query, output $m+1$ lines:

• The first line saying :the closest m points are: where $m$ is the number of the points.
• The following $m$ lines representing $m$ points ,in accordance with the order from near to far.

It is guaranteed that the answer can only be formed in one ways. The distances from the given point to all the nearest $m+1$ points are different. That means input like this:

2 2
1 1
3 3
1
2 2
1

will not exist.

Samples

3 2
1 1
1 3
3 4
2
2 3
2
2 3
1

the closest 2 points are:
1 3
3 4
the closest 1 points are:
1 3

Data scale and agreement

For $100\%$ of the data:$1\le k\le 5,1\le n\le 50000,1\le m\le 10,1\le t\le 10000$.