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 $\text{[math]}$ (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 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.

Output

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

Sequence of points

Examples