You are given the following points with integer coordinates on the plane: M₀,A₀,A₁,...,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.

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 A_i-1. The absolute values of all input coordinates will not be greater then 1000.

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