e-olymp
Competitions

2018 Innopolice First Stage, December 1

Innohorse

In Innokingdom there are special horses for chess knights, innohorses. Each innohorse is represented by a pair of integers (x, y), 0xy. 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.

Input

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.

Output

Print two integers x and y (0xy), representing the type of innohorse.

Time limit 1 second
Memory limit 128 MiB
Input example #1
a1
b3
Output example #1
1 2
Input example #2
g5
d3
Output example #2
2 3
Source 2018 Innopolice First Stage, December 1