Innohorse

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문제

In Innokingdom there are special horses for chess knights, innohorses. Each innohorse is represented by a pair of integers (x,y)(x, y), 0xy0 \le x \le y. Innohorse moves in the following way: first it moves xx cells in one of the four general directions, then turns 90 degrees to the left or to the right, then finally moves yy more cells. For instance, an ordinary chess knight horse is an innohorse of type (1,2)(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.

입력

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.

출력

Print two integers xx and yy (0xy0 \le x \le y), representing the type of innohorse.