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In Innokingdom there are special horses for chess knights, innohorses. Each innohorse is represented by a pair of integers $(x, y)$, $0 \le x \le y$. Innohorse moves in the following way: first it moves $x$ cells in one of the four general directions, then turns 90 degrees to the left or to the right, then finally moves $y$ more cells. For instance, an ordinary chess knight horse is an innohorse of type $(1, 2)$.
Alex and Jane has just seen one innohorse, it jumped from cell A to cell B. They wonder what is the type of this innohorse. Help them answer this question.
Chessboard consists of 8 rows and 8 columns. Rows are assigned integers from 1 to 8, and columns are assigned letters from '
a' to '
h'. So every cell is represented by a pair of a letter and a digit.
Two lines consist of descriptions of cells A and B respectively.
Print two integers $x$ and $y$ ($0 \le x \le y$), representing the type of innohorse.