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## NAKANJ – Minimum Knight moves !!!

Anjali and Nakul are good friends. They both had a quarrel recently while playing chess. Nakul wants to know the minimum number of moves a knight takes to reach from one square to another square of a chess board (8 × 8). Nakul is brilliant and he had already written a program to solve the problem. Nakul wants to know whether Anjali can do it. Anjali is very weak in programming. Help her to solve the problem.

A knight can move in the shape of an “L” in a chessboard – two squares either forward, backward, left, or right and then one square to its left or right. A knight move is valid if it moves as mentioned above and it is within the boundary of the chessboard (8 × 8).

### Input

There are T test cases in total. The next T lines contain two strings (start and destination) separated by a space.

The strings start and destination will only contain two characters – First character is an alphabet between ‘a’ and ‘h’ (inclusive), Second character is a digit between ‘1’ and ‘8’ (inclusive) – (Quotes just for clarity).

To know the knight moves more clearly refer to the above figure.

### Output

Print the minimum number of moves a knight takes to reach from start to destination in a separate line.

### Constraints

1 <= T <= 4096

### Example

Input: 3 a1 h8 a1 c2 h8 c3 Output: 6 1 4

hide comments

stubs_fox: 2023-01-24 17:14:41 AC in 4294967296 goes 😀 so proud |

mehraj_mi2: 2023-01-21 11:29:47 AC in one go :X |

codertoon: 2023-01-15 11:30:09 check validity of children cells and reset visited and level array for each test case. 🙂 got AC in 3rd go bcz of a silly mistake. |

hemant0557: 2023-01-12 15:29:26 <snip> |

avl_tree_10: 2022-09-27 13:45:14 nice question |

majay1638: 2022-09-20 15:14:58 For python users try submit in pypy , |

bpeter: 2022-08-15 01:31:50 solved in one go |

harsh_it2003: 2022-05-11 15:39:51 boom, in second go. first was silly bad. |

dark_coder0007: 2021-11-16 20:09:43 AC in one go!! (hint: Use BFS on 2D grid) |

sabkx: 2021-10-23 05:41:58 Can anyone check why when i submit all the “&&” in my c++ code become &¤,giving me compile error? Thank you. |

Added by: | Nakul Krishna |

Date: | 2012-09-30 |

Time limit: | 1s |

Source limit: | 50000B |

Memory limit: | 1536MB |

Cluster: | Cube (Intel G860) |

Languages: | All except: ASM64 |

Resource: | Used for Code it – Vidyut 2012 – Amrita University |

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