3408: Sequence of points
Time Limit: 2 Sec Memory Limit: 256 MBSubmit: 0 Solved: 0
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Description
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.
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.
On a single line output the coordinates of Mj, space separated.
3 4
0 0
1 1
2 3
-5 3
14 0
3 1
5 5
1000 1000
-1000 1000
3 100
1995 1995