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Quân mã

Trong một bàn cờ NxM.

Tìm số lần đi tối thiểu để quân mã ăn hết quân địch.

Quân mã có thể di chuyển xung quanh theo 8 hướng .(H1)
 
H1

Example : test case 1

Quân mã mất 3 lần di chuyển để ăn hết quân địch . (2,3) -> (3,5) -> (4,3)
 
H2

Input : dòng đầu tiên là số lương test case

            Dòng 2 là kích thước của bàn cờ

Tiếp theo là bàn cờ :

3 là vị trí xuất phát của quân mã

1 là vị trí quân địch

0 là vị trí trống.

Quân mã có thể di chuyển trên tất cả các vị trí trên bàn cờ (0,1,3).

Output:

In ra số lần di chuyển nhỏ nhất để quân mã ăn hết quân địch.

Sample input:

2

5 7

0 0 0 0 0 0 0

0 3 0 0 0 0 0

0 0 0 1 0 0 0

0 0 0 0 0 1 0

0 0 0 1 0 0 0

10 10

1 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 1 0 0

0 1 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 3 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 1

Sample output:

Case #1

3

Case #2

12

 

in

50
46 42
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out 
Case #1
59
Case #2
40
Case #3
44
Case #4
20
Case #5
67
Case #6
51
Case #7
57
Case #8
111
Case #9
45
Case #10
25
Case #11
71
Case #12
88
Case #13
47
Case #14
83
Case #15
19
Case #16
22
Case #17
83
Case #18
27
Case #19
32
Case #20
60
Case #21
31
Case #22
28
Case #23
43
Case #24
36
Case #25
63
Case #26
32
Case #27
46
Case #28
35
Case #29
28
Case #30
44
Case #31
50
Case #32
34
Case #33
14
Case #34
35
Case #35
83
Case #36
36
Case #37
20
Case #38
42
Case #39
29
Case #40
25
Case #41
22
Case #42
38
Case #43
29
Case #44
36
Case #45
48
Case #46
101
Case #47
55
Case #48
36
Case #49
39
Case #50
70