## Description

A rectangular board is divided into M rows and N columns (2 <= M, N <= 100). A robot jumps from one square x to another square y as follows: from x, it moves p squares, either horizontally or vertically, and then it moves q squares in a direction perpendicular to the previous to get to y. It can move horizontally either to the left or to the right and vertically either up or down. (A robot move is similar to a knight move in chess with p = 2 and q = 1). Assume that the top-left square is (1, 1) and the bottom-right square is (M, N). The robot is put in the square with coordinates (X, Y) (1 <= X <= M, 1 <= Y <= N) . The robot wishes to get to a different square (U, V) (1 <= U <= M, 1 <= V <= N) using only the jumps described above. It is required to find the minimal number, S, of jumps needed to get to (U, V) and the sequence of squares visited in reaching (U, V). If there is more than one sequence, you need find only one. If it is not possible to get to (U, V) from (X, Y), print an appropriate message. For example, consider a board with 7 rows and 4 columns, with p = 2, q = 1. Suppose the robot starts in square (3, 1) and it needs to get to square (6, 1). It can do so in 3 moves by jumping to (5, 2) then (7, 3) then (6, 1). Write a program which reads values for M, N, p, q, X, Y, U, V in that order and prints the minimum number of moves followed by the squares visited or a message that the robot cannot get to the destination square from the starting one. Sample input 7 4 2 1 3 1 6 1 Sample output 3 (3, 1) (5, 2) (7, 3) (6, 1)