C. Sequence of points
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

You are given the following points with integer coordinates on the plane: M 0, A 0, A 1, ..., A n - 1, where n is odd number. Now we define the following infinite sequence of points M i: M i is symmetric to M i - 1 according (for every natural number i). Here point B is symmetric to A according M, if M is the center of the line segment AB. Given index j find the point M j.

Input

On the first line you will be given an integer n (1 ≤ n ≤ 105), which will be odd, and j (1 ≤ j ≤ 1018), where j is the index of the desired point. The next line contains two space separated integers, the coordinates of M 0. After that n lines follow, where the i-th line contain the space separated integer coordinates of the point A i - 1. The absolute values of all input coordinates will not be greater then 1000.

Output

On a single line output the coordinates of M j, space separated.

Examples
Input
3 4
0 0
1 1
2 3
-5 3
Output
14 0
Input
3 1
5 5
1000 1000
-1000 1000
3 100
Output
1995 1995