Problem D: 马的移动

Problem D: 马的移动

Time Limit: 1 Sec  Memory Limit: 32 MB
Submit: 5  Solved: 3
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Description

小明很喜欢下国际象棋,一天,他拿着国际象棋中的“马”时突然想到一个问题:

给定两个棋盘上的方格A和B,马从A跳到B最少需要多少步?现请你编程解决这个问题。


提示:国际象棋棋盘为8格*8格,马的走子规则为,每步棋先横走或直走一格,然后再往外斜走一格。

Input

输入包含多组测试数据。

每组输入由两个方格组成,每个方格包含一个小写字母(a~h),表示棋盘的列号,和一个整数(1~8),表示棋盘的行号。

Output

对于每组输入,输出一行“To get from xx to yy takes n knight moves.”。

Sample Input Copy

e2 e4
a1 b2
b2 c3
a1 h8
a1 h7
h8 a1
b1 c3
f6 f6

Sample Output Copy

To get from e2 to e4 takes 2 knight moves.
To get from a1 to b2 takes 4 knight moves.
To get from b2 to c3 takes 2 knight moves.
To get from a1 to h8 takes 6 knight moves.
To get from a1 to h7 takes 5 knight moves.
To get from h8 to a1 takes 6 knight moves.
To get from b1 to c3 takes 1 knight moves.
To get from f6 to f6 takes 0 knight moves.