#D7746. Sequence of points
Sequence of points
Sequence of points
You are given the following points with integer coordinates on the plane: M0, A0, A1, ..., An - 1, where n is odd number. Now we define the following infinite sequence of points Mi: Mi is symmetric to Mi - 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 Mj.
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 M0. After that n lines follow, where the i-th line contain the space separated integer coordinates of the point Ai - 1. The absolute values of all input coordinates will not be greater then 1000.
Output
On a single line output the coordinates of Mj, 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
inputFormat
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 M0. After that n lines follow, where the i-th line contain the space separated integer coordinates of the point Ai - 1. The absolute values of all input coordinates will not be greater then 1000.
outputFormat
Output
On a single line output the coordinates of Mj, 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
样例
3 4
0 0
1 1
2 3
-5 3
14 0