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Put only in one Integer
in a and d. |
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Modern Bimagic Square n8:1.1a |
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MS Matrix n8:1.1b |
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Modern Bimagic Square n8:1.2a |
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MS Matrix n8:1.2b |
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Modern Bimagic Square n8:1.1a |
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MS Matrix n8:1.1b |
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Modern Bimagic Square n8:1.2a |
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MS Matrix n8:1.2b |
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| a = |
1 |
|
a = 0,1,2,3…… |
[-∞ < a <
∞] |
|
|
|
20 |
16 |
63 |
35 |
58 |
38 |
21 |
9 |
11180 |
11180 |
|
C4 |
B8 |
H7 |
E3 |
H2 |
E6 |
C5 |
B1 |
|
|
|
|
|
20 |
62 |
13 |
35 |
58 |
24 |
39 |
9 |
11180 |
11180 |
|
C4 |
H6 |
B5 |
E3 |
H2 |
C8 |
E7 |
B1 |
|
|
|
|
|
5 |
4 |
51 |
54 |
32 |
25 |
42 |
47 |
260 |
11180 |
|
A5 |
A4 |
G3 |
G6 |
D8 |
D1 |
F2 |
F7 |
|
|
|
|
|
6 |
49 |
2 |
53 |
31 |
44 |
27 |
48 |
260 |
11180 |
|
A6 |
G1 |
A2 |
G5 |
D7 |
F4 |
D3 |
F8 |
|
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| |
|
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|
|
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|
|
|
43 |
55 |
8 |
28 |
1 |
29 |
46 |
50 |
11180 |
11180 |
|
F3 |
G7 |
A8 |
D4 |
A1 |
D5 |
F6 |
G2 |
|
|
|
|
|
43 |
55 |
8 |
28 |
1 |
29 |
46 |
50 |
11180 |
11180 |
|
F3 |
G7 |
A8 |
D4 |
A1 |
D5 |
F6 |
G2 |
|
|
|
|
|
27 |
30 |
45 |
44 |
2 |
7 |
56 |
49 |
260 |
11180 |
|
D3 |
D6 |
F5 |
F4 |
A2 |
A7 |
G8 |
G1 |
|
|
|
|
|
28 |
29 |
46 |
43 |
1 |
8 |
55 |
50 |
260 |
11180 |
|
D4 |
D5 |
F6 |
F3 |
A1 |
A8 |
G7 |
G2 |
|
|
| d = |
1 |
|
d = 1,2,3,4…… |
num: [d ≠ 0] |
|
|
|
25 |
5 |
54 |
42 |
51 |
47 |
32 |
4 |
11180 |
11180 |
|
D1 |
A5 |
G6 |
F2 |
G3 |
F7 |
D8 |
A4 |
|
|
|
|
|
25 |
5 |
54 |
42 |
51 |
47 |
32 |
4 |
11180 |
11180 |
|
D1 |
A5 |
G6 |
F2 |
G3 |
F7 |
D8 |
A4 |
|
|
|
|
|
41 |
48 |
31 |
26 |
52 |
53 |
6 |
3 |
260 |
11180 |
|
F1 |
F8 |
D7 |
D2 |
G4 |
G5 |
A6 |
A3 |
|
|
|
|
|
42 |
47 |
32 |
25 |
51 |
54 |
5 |
4 |
260 |
11180 |
|
F2 |
F7 |
D8 |
D1 |
G3 |
G6 |
A5 |
A4 |
|
|
| |
|
|
|
|
|
|
|
|
|
34 |
62 |
13 |
17 |
12 |
24 |
39 |
59 |
11180 |
11180 |
|
E2 |
H6 |
B5 |
C1 |
B4 |
C8 |
E7 |
H3 |
|
|
|
|
|
34 |
16 |
63 |
17 |
12 |
38 |
21 |
59 |
11180 |
11180 |
|
E2 |
B8 |
H7 |
C1 |
B4 |
E6 |
C5 |
H3 |
|
|
|
|
|
55 |
50 |
1 |
8 |
46 |
43 |
28 |
29 |
260 |
11180 |
|
G7 |
G2 |
A1 |
A8 |
F6 |
F3 |
D4 |
D5 |
|
|
|
|
|
56 |
3 |
52 |
7 |
45 |
26 |
41 |
30 |
260 |
11180 |
|
G8 |
A3 |
G4 |
A7 |
F5 |
D2 |
F1 |
D6 |
|
|
| Σ = |
260 |
|
Σy = sum(A1:H8) /n |
|
|
|
7 |
27 |
44 |
56 |
45 |
49 |
2 |
30 |
11180 |
11180 |
|
A7 |
D3 |
F4 |
G8 |
F5 |
G1 |
A2 |
D6 |
|
|
|
|
|
7 |
41 |
26 |
56 |
45 |
3 |
52 |
30 |
11180 |
11180 |
|
A7 |
F1 |
D2 |
G8 |
F5 |
A3 |
G4 |
D6 |
|
|
|
|
|
36 |
37 |
22 |
19 |
57 |
64 |
15 |
10 |
260 |
11180 |
|
E4 |
E5 |
C6 |
C3 |
H1 |
H8 |
B7 |
B2 |
|
|
|
|
|
35 |
24 |
39 |
20 |
58 |
13 |
62 |
9 |
260 |
11180 |
|
E3 |
C8 |
E7 |
C4 |
H2 |
B5 |
H6 |
B1 |
|
|
| |
|
|
|
|
|
|
|
|
|
64 |
36 |
19 |
15 |
22 |
10 |
57 |
37 |
11180 |
11180 |
|
H8 |
E4 |
C3 |
B7 |
C6 |
B2 |
H1 |
E5 |
|
|
|
|
|
64 |
36 |
19 |
15 |
22 |
10 |
57 |
37 |
11180 |
11180 |
|
H8 |
E4 |
C3 |
B7 |
C6 |
B2 |
H1 |
E5 |
|
|
|
|
|
62 |
59 |
12 |
13 |
39 |
34 |
17 |
24 |
260 |
11180 |
|
H6 |
H3 |
B4 |
B5 |
E7 |
E2 |
C1 |
C8 |
|
|
|
|
|
61 |
60 |
11 |
14 |
40 |
33 |
18 |
23 |
260 |
11180 |
|
H5 |
H4 |
B3 |
B6 |
E8 |
E1 |
C2 |
C7 |
|
|
| Σ = |
260 |
|
Σ(n:a,d) = ½·n·[2·a
+ d·(n^2 -1)] |
|
|
|
14 |
18 |
33 |
61 |
40 |
60 |
11 |
23 |
11180 |
11180 |
|
B6 |
C2 |
E1 |
H5 |
E8 |
H4 |
B3 |
C7 |
|
|
|
|
|
14 |
18 |
33 |
61 |
40 |
60 |
11 |
23 |
11180 |
11180 |
|
B6 |
C2 |
E1 |
H5 |
E8 |
H4 |
B3 |
C7 |
|
|
|
|
|
16 |
9 |
58 |
63 |
21 |
20 |
35 |
38 |
260 |
11180 |
|
B8 |
B1 |
H2 |
H7 |
C5 |
C4 |
E3 |
E6 |
|
|
|
|
|
15 |
10 |
57 |
64 |
22 |
19 |
36 |
37 |
260 |
11180 |
|
B7 |
B2 |
H1 |
H8 |
C6 |
C3 |
E4 |
E5 |
|
|
| |
|
|
[Hunter and Madachy
1975] |
|
|
|
53 |
41 |
26 |
6 |
31 |
3 |
52 |
48 |
11180 |
11180 |
|
G5 |
F1 |
D2 |
A6 |
D7 |
A3 |
G4 |
F8 |
|
|
|
|
|
53 |
27 |
44 |
6 |
31 |
49 |
2 |
48 |
11180 |
11180 |
|
G5 |
D3 |
F4 |
A6 |
D7 |
G1 |
A2 |
F8 |
|
|
|
|
|
18 |
23 |
40 |
33 |
11 |
14 |
61 |
60 |
260 |
11180 |
|
C2 |
C7 |
E8 |
E1 |
B3 |
B6 |
H5 |
H4 |
|
|
|
|
|
17 |
38 |
21 |
34 |
12 |
63 |
16 |
59 |
260 |
11180 |
|
C1 |
E6 |
C5 |
E2 |
B4 |
H7 |
B8 |
H3 |
|
|
| |
MS order n = |
8 |
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
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| |
|
|
|
The Key I |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
C4[1] |
G7 |
G6 |
C1 |
F5 |
B2 |
B3 |
F8 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
C4 |
G7 |
G6 |
C1 |
F5 |
B2 |
B3 |
F8 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
D6 |
D7 |
A8 |
H1 |
E2 |
E3 |
H4 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A6 |
D5 |
D8 |
A7 |
H2 |
E1 |
E4 |
H3 |
|
|
| |
|
|
A1 |
= |
1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
G5 |
C2 |
C3 |
G8 |
B4 |
F7 |
F6 |
B1 |
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
G5 |
C2 |
C3 |
G8 |
B4 |
F7 |
F6 |
B1 |
|
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|
|
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|
|
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|
|
|
|
|
|
C2 |
B1 |
B4 |
C3 |
F6 |
G5 |
G8 |
F7 |
|
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|
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|
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|
|
|
|
|
|
|
|
|
C1 |
B2 |
B3 |
C4 |
F5 |
G6 |
G7 |
F8 |
|
|
| |
|
|
A2 |
= |
2 |
|
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| |
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A3 |
= |
3 |
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| |
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A4 |
= |
4 |
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| |
|
|
A5 |
= |
5 |
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:2.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:2.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:2.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:2.2b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:2.1a |
|
|
|
|
|
|
|
|
New Matrix n8:2.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:2.2a |
|
|
|
|
|
|
|
|
New Matrix n8:2.2b |
|
|
|
|
| |
|
|
A6 |
= |
6 |
|
|
|
|
20 |
16 |
63 |
35 |
9 |
21 |
38 |
58 |
11180 |
11180 |
|
C4 |
B8 |
H7 |
E3 |
B1 |
C5 |
E6 |
H2 |
|
|
|
|
|
20 |
62 |
13 |
35 |
9 |
39 |
24 |
58 |
11180 |
11180 |
|
C4 |
H6 |
B5 |
E3 |
B1 |
E7 |
C8 |
H2 |
|
|
|
|
|
5 |
40 |
51 |
18 |
32 |
61 |
42 |
11 |
260 |
11180 |
|
A5 |
E8 |
G3 |
C2 |
D8 |
H5 |
F2 |
B3 |
|
|
|
|
|
6 |
49 |
38 |
17 |
31 |
44 |
63 |
12 |
260 |
11180 |
|
A6 |
G1 |
E6 |
C1 |
D7 |
F4 |
H7 |
B4 |
|
|
| |
|
|
A7 |
= |
7 |
|
|
|
|
43 |
55 |
8 |
28 |
50 |
46 |
29 |
1 |
11180 |
11180 |
|
F3 |
G7 |
A8 |
D4 |
G2 |
F6 |
D5 |
A1 |
|
|
|
|
|
43 |
55 |
8 |
28 |
50 |
46 |
29 |
1 |
11180 |
11180 |
|
F3 |
G7 |
A8 |
D4 |
G2 |
F6 |
D5 |
A1 |
|
|
|
|
|
63 |
30 |
9 |
44 |
38 |
7 |
20 |
49 |
260 |
11180 |
|
H7 |
D6 |
B1 |
F4 |
E6 |
A7 |
C4 |
G1 |
|
|
|
|
|
64 |
29 |
10 |
43 |
37 |
8 |
19 |
50 |
260 |
11180 |
|
H8 |
D5 |
B2 |
F3 |
E5 |
A8 |
C3 |
G2 |
|
|
| |
|
|
A8 |
= |
8 |
|
|
|
|
25 |
5 |
54 |
42 |
4 |
32 |
47 |
51 |
260 |
11180 |
|
D1 |
A5 |
G6 |
F2 |
A4 |
D8 |
F7 |
G3 |
|
|
|
|
|
25 |
5 |
54 |
42 |
4 |
32 |
47 |
51 |
260 |
11180 |
|
D1 |
A5 |
G6 |
F2 |
A4 |
D8 |
F7 |
G3 |
|
|
|
|
|
41 |
12 |
31 |
62 |
52 |
17 |
6 |
39 |
260 |
11180 |
|
F1 |
B4 |
D7 |
H6 |
G4 |
C1 |
A6 |
E7 |
|
|
|
|
|
42 |
11 |
32 |
61 |
51 |
18 |
5 |
40 |
260 |
11180 |
|
F2 |
B3 |
D8 |
H5 |
G3 |
C2 |
A5 |
E8 |
|
|
| |
|
|
B1 |
= |
9 |
|
|
|
|
34 |
62 |
13 |
17 |
59 |
39 |
24 |
12 |
260 |
11180 |
|
E2 |
H6 |
B5 |
C1 |
H3 |
E7 |
C8 |
B4 |
|
|
|
|
|
34 |
16 |
63 |
17 |
59 |
21 |
38 |
12 |
260 |
11180 |
|
E2 |
B8 |
H7 |
C1 |
H3 |
C5 |
E6 |
B4 |
|
|
|
|
|
19 |
50 |
37 |
8 |
10 |
43 |
64 |
29 |
260 |
11180 |
|
C3 |
G2 |
E5 |
A8 |
B2 |
F3 |
H8 |
D5 |
|
|
|
|
|
20 |
39 |
52 |
7 |
9 |
62 |
41 |
30 |
260 |
11180 |
|
C4 |
E7 |
G4 |
A7 |
B1 |
H6 |
F1 |
D6 |
|
|
| |
|
|
B2 |
= |
10 |
|
|
|
|
53 |
41 |
26 |
6 |
48 |
52 |
3 |
31 |
260 |
11180 |
|
G5 |
F1 |
D2 |
A6 |
F8 |
G4 |
A3 |
D7 |
|
|
|
|
|
53 |
27 |
44 |
6 |
48 |
2 |
49 |
31 |
260 |
11180 |
|
G5 |
D3 |
F4 |
A6 |
F8 |
A2 |
G1 |
D7 |
|
|
|
|
|
36 |
1 |
22 |
55 |
57 |
28 |
15 |
46 |
260 |
11180 |
|
E4 |
A1 |
C6 |
G7 |
H1 |
D4 |
B7 |
F6 |
|
|
|
|
|
35 |
24 |
3 |
56 |
58 |
13 |
26 |
45 |
260 |
11180 |
|
E3 |
C8 |
A3 |
G8 |
H2 |
B5 |
D2 |
F5 |
|
|
| |
|
|
B3 |
= |
11 |
|
|
|
|
14 |
18 |
33 |
61 |
23 |
11 |
60 |
40 |
260 |
11180 |
|
B6 |
C2 |
E1 |
H5 |
C7 |
B3 |
H4 |
E8 |
|
|
|
|
|
14 |
18 |
33 |
61 |
23 |
11 |
60 |
40 |
260 |
11180 |
|
B6 |
C2 |
E1 |
H5 |
C7 |
B3 |
H4 |
E8 |
|
|
|
|
|
26 |
59 |
48 |
13 |
3 |
34 |
53 |
24 |
260 |
11180 |
|
D2 |
H3 |
F8 |
B5 |
A3 |
E2 |
G5 |
C8 |
|
|
|
|
|
25 |
60 |
47 |
14 |
4 |
33 |
54 |
23 |
260 |
11180 |
|
D1 |
H4 |
F7 |
B6 |
A4 |
E1 |
G6 |
C7 |
|
|
| |
|
|
B4 |
= |
12 |
|
|
|
|
64 |
36 |
19 |
15 |
37 |
57 |
10 |
22 |
11180 |
11180 |
|
H8 |
E4 |
C3 |
B7 |
E5 |
H1 |
B2 |
C6 |
|
|
|
|
|
64 |
36 |
19 |
15 |
37 |
57 |
10 |
22 |
11180 |
11180 |
|
H8 |
E4 |
C3 |
B7 |
E5 |
H1 |
B2 |
C6 |
|
|
|
|
|
16 |
45 |
58 |
27 |
21 |
56 |
35 |
2 |
260 |
11180 |
|
B8 |
F5 |
H2 |
D3 |
C5 |
G8 |
E3 |
A2 |
|
|
|
|
|
15 |
46 |
57 |
28 |
22 |
55 |
36 |
1 |
260 |
11180 |
|
B7 |
F6 |
H1 |
D4 |
C6 |
G7 |
E4 |
A1 |
|
|
| |
|
|
B5 |
= |
13 |
|
|
|
|
7 |
27 |
44 |
56 |
30 |
2 |
49 |
45 |
11180 |
11180 |
|
A7 |
D3 |
F4 |
G8 |
D6 |
A2 |
G1 |
F5 |
|
|
|
|
|
7 |
41 |
26 |
56 |
30 |
52 |
3 |
45 |
11180 |
11180 |
|
A7 |
F1 |
D2 |
G8 |
D6 |
G4 |
A3 |
F5 |
|
|
|
|
|
54 |
23 |
4 |
33 |
47 |
14 |
25 |
60 |
260 |
11180 |
|
G6 |
C7 |
A4 |
E1 |
F7 |
B6 |
D1 |
H4 |
|
|
|
|
|
53 |
2 |
21 |
34 |
48 |
27 |
16 |
59 |
260 |
11180 |
|
G5 |
A2 |
C5 |
E2 |
F8 |
D3 |
B8 |
H3 |
|
|
| |
|
|
B6 |
= |
14 |
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
| |
|
|
B7 |
= |
15 |
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
C4 |
G7 |
G6 |
C1 |
F8 |
B3 |
B2 |
F5 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
C4 |
G7 |
G6 |
C1 |
F8 |
B3 |
B2 |
F5 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
D6 |
D7 |
A8 |
H1 |
E2 |
E3 |
H4 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A6 |
D5 |
D8 |
A7 |
H2 |
E1 |
E4 |
H3 |
|
|
| |
|
|
B8 |
= |
16 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
A7 |
E4 |
E1 |
A6 |
H3 |
D8 |
D5 |
H2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
A7 |
E4 |
E1 |
A6 |
H3 |
D8 |
D5 |
H2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
G6 |
F5 |
F8 |
G7 |
B2 |
C1 |
C4 |
B3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
G5 |
F6 |
F7 |
G8 |
B1 |
C2 |
C3 |
B4 |
|
|
| |
|
|
C1 |
= |
17 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
C2 |
= |
18 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
C3 |
= |
19 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
C4 |
= |
20 |
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:3.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:3.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:3.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:3.2b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:3.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:3.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:3.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:3.2b |
|
|
|
|
| |
|
|
C5 |
= |
21 |
|
|
|
|
59 |
21 |
38 |
12 |
17 |
63 |
16 |
34 |
11180 |
11180 |
|
H3 |
C5 |
E6 |
B4 |
C1 |
H7 |
B8 |
E2 |
|
|
|
|
|
59 |
39 |
24 |
12 |
17 |
13 |
62 |
34 |
11180 |
11180 |
|
H3 |
E7 |
C8 |
B4 |
C1 |
B5 |
H6 |
E2 |
|
|
|
|
|
5 |
42 |
4 |
47 |
32 |
51 |
25 |
54 |
11180 |
11180 |
|
A5 |
F2 |
A4 |
F7 |
F45 |
G3 |
D1 |
G6 |
|
|
|
|
|
6 |
2 |
44 |
48 |
31 |
27 |
49 |
53 |
260 |
11180 |
|
A6 |
A2 |
F4 |
F8 |
D7 |
D3 |
G1 |
G5 |
|
|
| |
|
|
C6 |
= |
22 |
|
|
|
|
4 |
32 |
47 |
51 |
42 |
54 |
5 |
25 |
11180 |
11180 |
|
A4 |
D8 |
F7 |
G3 |
F2 |
G6 |
A5 |
D1 |
|
|
|
|
|
4 |
32 |
47 |
51 |
42 |
54 |
5 |
25 |
11180 |
11180 |
|
A4 |
D8 |
F7 |
G3 |
F2 |
G6 |
A5 |
D1 |
|
|
|
|
|
49 |
30 |
56 |
27 |
44 |
7 |
45 |
2 |
11180 |
11180 |
|
G1 |
D6 |
G8 |
D3 |
F45 |
A7 |
F5 |
A2 |
|
|
|
|
|
50 |
29 |
55 |
28 |
43 |
8 |
46 |
1 |
260 |
11180 |
|
G2 |
D5 |
G7 |
D4 |
F3 |
A8 |
F6 |
A1 |
|
|
| |
|
|
C7 |
= |
23 |
|
|
|
|
50 |
46 |
29 |
1 |
28 |
8 |
55 |
43 |
11180 |
11180 |
|
G2 |
F6 |
D5 |
A1 |
D4 |
A8 |
G7 |
F3 |
|
|
|
|
|
50 |
46 |
29 |
1 |
28 |
8 |
55 |
43 |
11180 |
11180 |
|
G2 |
F6 |
D5 |
A1 |
D4 |
A8 |
G7 |
F3 |
|
|
|
|
|
26 |
53 |
31 |
52 |
3 |
48 |
6 |
41 |
11180 |
11180 |
|
D2 |
G5 |
D7 |
G4 |
A3 |
F8 |
A6 |
F1 |
|
|
|
|
|
25 |
54 |
32 |
51 |
4 |
47 |
5 |
42 |
260 |
11180 |
|
D1 |
G6 |
D8 |
G3 |
A4 |
F7 |
A5 |
F2 |
|
|
| |
|
|
C8 |
= |
24 |
|
|
|
|
9 |
39 |
24 |
58 |
35 |
13 |
62 |
20 |
11180 |
11180 |
|
B1 |
E7 |
C8 |
H2 |
E3 |
B5 |
H6 |
C4 |
|
|
|
|
|
9 |
21 |
38 |
58 |
35 |
63 |
16 |
20 |
11180 |
11180 |
|
B1 |
C5 |
E6 |
H2 |
E3 |
H7 |
B8 |
C4 |
|
|
|
|
|
46 |
1 |
43 |
8 |
55 |
28 |
50 |
29 |
11180 |
11180 |
|
F6 |
A1 |
F3 |
A8 |
G7 |
D4 |
G2 |
D5 |
|
|
|
|
|
45 |
41 |
3 |
7 |
56 |
52 |
26 |
30 |
260 |
11180 |
|
F5 |
F1 |
A3 |
A7 |
G8 |
G4 |
D2 |
D6 |
|
|
| |
|
|
D1 |
= |
25 |
|
|
|
|
48 |
2 |
49 |
31 |
6 |
44 |
27 |
53 |
11180 |
11180 |
|
F8 |
A2 |
G1 |
D7 |
A6 |
F4 |
D3 |
G5 |
|
|
|
|
|
48 |
52 |
3 |
31 |
6 |
26 |
41 |
53 |
11180 |
11180 |
|
F8 |
G4 |
A3 |
D7 |
A6 |
D2 |
F1 |
G5 |
|
|
|
|
|
36 |
15 |
37 |
10 |
57 |
22 |
64 |
19 |
11180 |
11180 |
|
E4 |
B7 |
E5 |
B2 |
H1 |
C6 |
H8 |
C3 |
|
|
|
|
|
35 |
39 |
13 |
9 |
58 |
62 |
24 |
20 |
260 |
11180 |
|
E3 |
E7 |
B5 |
B1 |
H2 |
H6 |
C8 |
C4 |
|
|
| |
|
|
D2 |
= |
26 |
|
|
|
|
23 |
11 |
60 |
40 |
61 |
33 |
18 |
14 |
11180 |
11180 |
|
C7 |
B3 |
H4 |
E8 |
H5 |
E1 |
C2 |
B6 |
|
|
|
|
|
23 |
11 |
60 |
40 |
61 |
33 |
18 |
14 |
11180 |
11180 |
|
C7 |
B3 |
H4 |
E8 |
H5 |
E1 |
C2 |
B6 |
|
|
|
|
|
24 |
59 |
17 |
62 |
13 |
34 |
12 |
39 |
11180 |
11180 |
|
C8 |
H3 |
C1 |
H6 |
B5 |
E2 |
B4 |
E7 |
|
|
|
|
|
23 |
60 |
18 |
61 |
14 |
33 |
11 |
40 |
260 |
11180 |
|
C7 |
H4 |
C2 |
H5 |
B6 |
E1 |
B3 |
E8 |
|
|
| |
|
|
D3 |
= |
27 |
|
|
|
|
37 |
57 |
10 |
22 |
15 |
19 |
36 |
64 |
11180 |
11180 |
|
E5 |
H1 |
B2 |
C6 |
B7 |
C3 |
E4 |
H8 |
|
|
|
|
|
37 |
57 |
10 |
22 |
15 |
19 |
36 |
64 |
11180 |
11180 |
|
E5 |
H1 |
B2 |
C6 |
B7 |
C3 |
E4 |
H8 |
|
|
|
|
|
63 |
20 |
58 |
21 |
38 |
9 |
35 |
16 |
11180 |
11180 |
|
H7 |
C4 |
H2 |
C5 |
E6 |
B1 |
E3 |
B8 |
|
|
|
|
|
64 |
19 |
57 |
22 |
37 |
10 |
36 |
15 |
260 |
11180 |
|
H8 |
C3 |
H1 |
C6 |
E5 |
B2 |
E4 |
B7 |
|
|
| |
|
|
D4 |
= |
28 |
|
|
|
|
30 |
52 |
3 |
45 |
56 |
26 |
41 |
7 |
11180 |
11180 |
|
D6 |
G4 |
A3 |
F5 |
G8 |
D2 |
F1 |
A7 |
|
|
|
|
|
30 |
2 |
49 |
45 |
56 |
44 |
27 |
7 |
11180 |
11180 |
|
D6 |
A2 |
G1 |
F5 |
G8 |
F4 |
D3 |
A7 |
|
|
|
|
|
11 |
40 |
14 |
33 |
18 |
61 |
23 |
60 |
11180 |
11180 |
|
B3 |
E8 |
B6 |
E1 |
C2 |
H5 |
C7 |
H4 |
|
|
|
|
|
12 |
16 |
38 |
34 |
17 |
21 |
63 |
59 |
260 |
11180 |
|
B4 |
B8 |
E6 |
E2 |
C1 |
C5 |
H7 |
H3 |
|
|
| |
|
|
D5 |
= |
29 |
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
| |
|
|
D6 |
= |
30 |
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
H3[2] |
D8 |
D5 |
H2 |
A6 |
E1 |
E4 |
A7 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
H3 |
D8 |
D5 |
H2 |
A6 |
E1 |
E4 |
A7 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
D6 |
D7 |
A8 |
H1 |
E2 |
E3 |
H4 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A6 |
D5 |
D8 |
A7 |
H2 |
E1 |
E4 |
H3 |
|
|
| |
|
|
D7 |
= |
31 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
D6 |
H1 |
H4 |
D7 |
E3 |
A8 |
A5 |
E2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
D6 |
H1 |
H4 |
D7 |
E3 |
A8 |
A5 |
E2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
B3 |
C4 |
C1 |
B2 |
G7 |
F8 |
F5 |
G6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
B4 |
C3 |
C2 |
B1 |
G8 |
F7 |
F6 |
G5 |
|
|
| |
|
|
D8 |
= |
32 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
E1 |
= |
33 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
E2 |
= |
34 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
E3 |
= |
35 |
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:4.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:4.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:4.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:4.2b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:4.1a |
|
|
|
|
|
|
|
|
New Matrix n8:4.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:4.2a |
|
|
|
|
|
|
|
|
New Matrix n8:4.2b |
|
|
|
|
| |
|
|
E4 |
= |
36 |
|
|
|
|
59 |
21 |
38 |
12 |
34 |
16 |
63 |
17 |
11180 |
11180 |
|
H3 |
C5 |
E6 |
B4 |
E2 |
B8 |
H7 |
C1 |
|
|
|
|
|
59 |
39 |
24 |
12 |
34 |
62 |
13 |
17 |
11180 |
11180 |
|
H3 |
E7 |
C8 |
B4 |
E2 |
H6 |
B5 |
C1 |
|
|
|
|
|
5 |
42 |
40 |
11 |
32 |
51 |
61 |
18 |
11180 |
11180 |
|
A5 |
F2 |
E8 |
B3 |
D8 |
G3 |
H5 |
C2 |
|
|
|
|
|
6 |
38 |
44 |
12 |
31 |
63 |
49 |
17 |
260 |
11180 |
|
A6 |
E6 |
F4 |
B4 |
D7 |
H7 |
G1 |
C1 |
|
|
| |
|
|
E5 |
= |
37 |
|
|
|
|
4 |
32 |
47 |
51 |
25 |
5 |
54 |
42 |
11180 |
11180 |
|
A4 |
D8 |
F7 |
G3 |
D1 |
A5 |
G6 |
F2 |
|
|
|
|
|
4 |
32 |
47 |
51 |
25 |
5 |
54 |
42 |
11180 |
11180 |
|
A4 |
D8 |
F7 |
G3 |
D1 |
A5 |
G6 |
F2 |
|
|
|
|
|
49 |
30 |
20 |
63 |
44 |
7 |
9 |
38 |
11180 |
11180 |
|
G1 |
D6 |
C4 |
H7 |
F4 |
A7 |
B1 |
E6 |
|
|
|
|
|
50 |
29 |
19 |
64 |
43 |
8 |
10 |
37 |
260 |
11180 |
|
G2 |
D5 |
C3 |
H8 |
F3 |
A8 |
B2 |
E5 |
|
|
| |
|
|
E6 |
= |
38 |
|
|
|
|
50 |
46 |
29 |
1 |
43 |
55 |
8 |
28 |
260 |
11180 |
|
G2 |
F6 |
D5 |
A1 |
F3 |
G7 |
A8 |
D4 |
|
|
|
|
|
50 |
46 |
29 |
1 |
43 |
55 |
8 |
28 |
260 |
11180 |
|
G2 |
F6 |
D5 |
A1 |
F3 |
G7 |
A8 |
D4 |
|
|
|
|
|
62 |
17 |
31 |
52 |
39 |
12 |
6 |
41 |
11180 |
11180 |
|
H6 |
C1 |
D7 |
G4 |
E7 |
B4 |
A6 |
F1 |
|
|
|
|
|
61 |
18 |
32 |
51 |
40 |
11 |
5 |
42 |
260 |
11180 |
|
H5 |
C2 |
D8 |
G3 |
E8 |
B3 |
A5 |
F2 |
|
|
| |
|
|
E7 |
= |
39 |
|
|
|
|
9 |
39 |
24 |
58 |
20 |
62 |
13 |
35 |
260 |
11180 |
|
B1 |
E7 |
C8 |
H2 |
C4 |
H6 |
B5 |
E3 |
|
|
|
|
|
9 |
21 |
38 |
58 |
20 |
16 |
63 |
35 |
260 |
11180 |
|
B1 |
C5 |
E6 |
H2 |
C4 |
B8 |
H7 |
E3 |
|
|
|
|
|
10 |
37 |
43 |
8 |
19 |
64 |
50 |
29 |
11180 |
11180 |
|
B2 |
E5 |
F3 |
A8 |
C3 |
H8 |
G2 |
D5 |
|
|
|
|
|
9 |
41 |
39 |
7 |
20 |
52 |
62 |
30 |
260 |
11180 |
|
B1 |
F1 |
E7 |
A7 |
C4 |
G4 |
H6 |
D6 |
|
|
| |
|
|
E8 |
= |
40 |
|
|
|
|
30 |
52 |
3 |
45 |
7 |
41 |
26 |
56 |
260 |
11180 |
|
D6 |
G4 |
A3 |
F5 |
A7 |
F1 |
D2 |
G8 |
|
|
|
|
|
30 |
2 |
49 |
45 |
7 |
27 |
44 |
56 |
260 |
11180 |
|
D6 |
A2 |
G1 |
F5 |
A7 |
D3 |
F4 |
G8 |
|
|
|
|
|
36 |
15 |
1 |
46 |
57 |
22 |
28 |
55 |
11180 |
11180 |
|
E4 |
B7 |
A1 |
F6 |
H1 |
C6 |
D4 |
G7 |
|
|
|
|
|
35 |
3 |
13 |
45 |
58 |
26 |
24 |
56 |
260 |
11180 |
|
E3 |
A3 |
B5 |
F5 |
H2 |
D2 |
C8 |
G8 |
|
|
| |
|
|
F1 |
= |
41 |
|
|
|
|
37 |
57 |
10 |
22 |
64 |
36 |
19 |
15 |
260 |
11180 |
|
E5 |
H1 |
B2 |
C6 |
H8 |
E4 |
C3 |
B7 |
|
|
|
|
|
37 |
57 |
10 |
22 |
64 |
36 |
19 |
15 |
260 |
11180 |
|
E5 |
H1 |
B2 |
C6 |
H8 |
E4 |
C3 |
B7 |
|
|
|
|
|
24 |
59 |
53 |
26 |
13 |
34 |
48 |
3 |
11180 |
11180 |
|
C8 |
H3 |
G5 |
D2 |
B5 |
E2 |
F8 |
A3 |
|
|
|
|
|
23 |
60 |
54 |
25 |
14 |
33 |
47 |
4 |
260 |
11180 |
|
C7 |
H4 |
G6 |
D1 |
B6 |
E1 |
F7 |
A4 |
|
|
| |
|
|
F2 |
= |
42 |
|
|
|
|
23 |
11 |
60 |
40 |
14 |
18 |
33 |
61 |
11180 |
11180 |
|
C7 |
B3 |
H4 |
E8 |
B6 |
C2 |
E1 |
H5 |
|
|
|
|
|
23 |
11 |
60 |
40 |
14 |
18 |
33 |
61 |
11180 |
11180 |
|
C7 |
B3 |
H4 |
E8 |
B6 |
C2 |
E1 |
H5 |
|
|
|
|
|
27 |
56 |
58 |
21 |
2 |
45 |
35 |
16 |
11180 |
11180 |
|
D3 |
G8 |
H2 |
C5 |
A2 |
F5 |
E3 |
B8 |
|
|
|
|
|
28 |
55 |
57 |
22 |
1 |
46 |
36 |
15 |
260 |
11180 |
|
D4 |
G7 |
H1 |
C6 |
A1 |
F6 |
E4 |
B7 |
|
|
| |
|
|
F3 |
= |
43 |
|
|
|
|
48 |
2 |
49 |
31 |
53 |
27 |
44 |
6 |
11180 |
11180 |
|
F8 |
A2 |
G1 |
D7 |
G5 |
D3 |
F4 |
A6 |
|
|
|
|
|
48 |
52 |
3 |
31 |
53 |
41 |
26 |
6 |
11180 |
11180 |
|
F8 |
G4 |
A3 |
D7 |
G5 |
F1 |
D2 |
A6 |
|
|
|
|
|
47 |
4 |
14 |
33 |
54 |
25 |
23 |
60 |
11180 |
11180 |
|
F7 |
A4 |
B6 |
E1 |
G6 |
D1 |
C7 |
H4 |
|
|
|
|
|
48 |
16 |
2 |
34 |
53 |
21 |
27 |
59 |
260 |
11180 |
|
F8 |
B8 |
A2 |
E2 |
G5 |
C5 |
D3 |
H3 |
|
|
| |
|
|
F4 |
= |
44 |
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
| |
|
|
F5 |
= |
45 |
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
H3 |
D8 |
D5 |
H2 |
A7 |
E4 |
E1 |
A6 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
H3 |
D8 |
D5 |
H2 |
A7 |
E4 |
E1 |
A6 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
D6 |
D7 |
A8 |
H1 |
E2 |
E3 |
H4 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A6 |
D5 |
D8 |
A7 |
H2 |
E1 |
E4 |
H3 |
|
|
| |
|
|
F6 |
= |
46 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
F8 |
B3 |
B2 |
F5 |
C4 |
G7 |
G6 |
C1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
F8 |
B3 |
B2 |
F5 |
C4 |
G7 |
G6 |
C1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
F7 |
G8 |
G5 |
F6 |
C3 |
B4 |
B1 |
C2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
F8 |
G7 |
G6 |
F5 |
C4 |
B3 |
B2 |
C1 |
|
|
| |
|
|
F7 |
= |
47 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
F8 |
= |
48 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
G1 |
= |
49 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
G2 |
= |
50 |
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:5.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:5.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:5.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:5.2b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:5.1a |
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MS Matrix n8:5.1b |
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Modern Bimagic Square n8:5.2a |
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MS Matrix n8:5.2b |
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| |
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|
G3 |
= |
51 |
|
|
|
|
20 |
16 |
38 |
58 |
35 |
63 |
21 |
9 |
11180 |
11180 |
|
C4 |
B8 |
E6 |
H2 |
E3 |
H7 |
C5 |
B1 |
|
|
|
|
|
20 |
39 |
13 |
58 |
35 |
24 |
62 |
9 |
11180 |
11180 |
|
C4 |
E7 |
B5 |
H2 |
E3 |
C8 |
H6 |
B1 |
|
|
|
|
|
5 |
50 |
4 |
55 |
32 |
43 |
25 |
46 |
11180 |
11180 |
|
A5 |
G2 |
A4 |
G7 |
D8 |
F3 |
D1 |
F6 |
|
|
|
|
|
5 |
4 |
43 |
46 |
32 |
25 |
50 |
55 |
260 |
11180 |
|
A5 |
A4 |
F3 |
F6 |
D8 |
D1 |
G2 |
G7 |
|
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| |
|
|
G4 |
= |
52 |
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|
|
|
42 |
54 |
32 |
4 |
25 |
5 |
47 |
51 |
11180 |
11180 |
|
F2 |
G6 |
D8 |
A4 |
D1 |
A5 |
F7 |
G3 |
|
|
|
|
|
42 |
54 |
32 |
4 |
25 |
5 |
47 |
51 |
11180 |
11180 |
|
F2 |
G6 |
D8 |
A4 |
D1 |
A5 |
F7 |
G3 |
|
|
|
|
|
41 |
30 |
48 |
27 |
52 |
7 |
53 |
2 |
11180 |
11180 |
|
F1 |
D6 |
F8 |
D3 |
G4 |
A7 |
G5 |
A2 |
|
|
|
|
|
27 |
30 |
53 |
52 |
2 |
7 |
48 |
41 |
260 |
11180 |
|
D3 |
D6 |
G5 |
G4 |
A2 |
A7 |
F8 |
F1 |
|
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| |
|
|
G5 |
= |
53 |
|
|
|
|
1 |
29 |
55 |
43 |
50 |
46 |
8 |
28 |
11180 |
11180 |
|
A1 |
D5 |
G7 |
F3 |
G2 |
F6 |
A8 |
D4 |
|
|
|
|
|
1 |
29 |
55 |
43 |
50 |
46 |
8 |
28 |
11180 |
11180 |
|
A1 |
D5 |
G7 |
F3 |
G2 |
F6 |
A8 |
D4 |
|
|
|
|
|
26 |
45 |
31 |
44 |
3 |
56 |
6 |
49 |
11180 |
11180 |
|
D2 |
F5 |
D7 |
F4 |
A3 |
G8 |
A6 |
G1 |
|
|
|
|
|
49 |
56 |
31 |
26 |
44 |
45 |
6 |
3 |
260 |
11180 |
|
G1 |
G8 |
D7 |
D2 |
F4 |
F5 |
A6 |
A3 |
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| |
|
|
G6 |
= |
54 |
|
|
|
|
59 |
39 |
13 |
17 |
12 |
24 |
62 |
34 |
11180 |
11180 |
|
H3 |
E7 |
B5 |
C1 |
B4 |
C8 |
H6 |
E2 |
|
|
|
|
|
59 |
16 |
38 |
17 |
12 |
63 |
21 |
34 |
11180 |
11180 |
|
H3 |
B8 |
E6 |
C1 |
B4 |
H7 |
C5 |
E2 |
|
|
|
|
|
54 |
1 |
51 |
8 |
47 |
28 |
42 |
29 |
11180 |
11180 |
|
G6 |
A1 |
G3 |
A8 |
F7 |
D4 |
F2 |
D5 |
|
|
|
|
|
47 |
42 |
1 |
8 |
54 |
51 |
28 |
29 |
260 |
11180 |
|
F7 |
F2 |
A1 |
A8 |
G6 |
G3 |
D4 |
D5 |
|
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| |
|
|
G7 |
= |
55 |
|
|
|
|
30 |
2 |
44 |
56 |
45 |
49 |
27 |
7 |
11180 |
11180 |
|
D6 |
A2 |
F4 |
G8 |
F5 |
G1 |
D3 |
A7 |
|
|
|
|
|
30 |
41 |
3 |
56 |
45 |
26 |
52 |
7 |
11180 |
11180 |
|
D6 |
F1 |
A3 |
G8 |
F5 |
D2 |
G4 |
A7 |
|
|
|
|
|
36 |
23 |
37 |
18 |
57 |
14 |
64 |
11 |
11180 |
11180 |
|
E4 |
C7 |
E5 |
C2 |
H1 |
B6 |
H8 |
B3 |
|
|
|
|
|
36 |
37 |
14 |
11 |
57 |
64 |
23 |
18 |
260 |
11180 |
|
E4 |
E5 |
B6 |
B3 |
H1 |
H8 |
C7 |
C2 |
|
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| |
|
|
G8 |
= |
56 |
|
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|
|
40 |
60 |
18 |
14 |
23 |
11 |
33 |
61 |
11180 |
11180 |
|
E8 |
H4 |
C2 |
B6 |
C7 |
B3 |
E1 |
H5 |
|
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|
40 |
60 |
18 |
14 |
23 |
11 |
33 |
61 |
11180 |
11180 |
|
E8 |
H4 |
C2 |
B6 |
C7 |
B3 |
E1 |
H5 |
|
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|
16 |
59 |
9 |
62 |
21 |
34 |
20 |
39 |
11180 |
11180 |
|
B8 |
H3 |
B1 |
H6 |
C5 |
E2 |
C4 |
E7 |
|
|
|
|
|
62 |
59 |
20 |
21 |
39 |
34 |
9 |
16 |
260 |
11180 |
|
H6 |
H3 |
C4 |
C5 |
E7 |
E2 |
B1 |
B8 |
|
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| |
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|
H1 |
= |
57 |
|
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|
|
15 |
19 |
57 |
37 |
64 |
36 |
10 |
22 |
11180 |
11180 |
|
B7 |
C3 |
H1 |
E5 |
H8 |
E4 |
B2 |
C6 |
|
|
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|
|
15 |
19 |
57 |
37 |
64 |
36 |
10 |
22 |
11180 |
11180 |
|
B7 |
C3 |
H1 |
E5 |
H8 |
E4 |
B2 |
C6 |
|
|
|
|
|
63 |
12 |
58 |
13 |
38 |
17 |
35 |
24 |
11180 |
11180 |
|
H7 |
B4 |
H2 |
B5 |
E6 |
C1 |
E3 |
C8 |
|
|
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|
24 |
17 |
58 |
63 |
13 |
12 |
35 |
38 |
260 |
11180 |
|
C8 |
C1 |
H2 |
H7 |
B5 |
B4 |
E3 |
E6 |
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| |
|
|
H2 |
= |
58 |
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|
53 |
41 |
3 |
31 |
6 |
26 |
52 |
48 |
11180 |
11180 |
|
G5 |
F1 |
A3 |
D7 |
A6 |
D2 |
G4 |
F8 |
|
|
|
|
|
53 |
2 |
44 |
31 |
6 |
49 |
27 |
48 |
11180 |
11180 |
|
G5 |
A2 |
F4 |
D7 |
A6 |
G1 |
D3 |
F8 |
|
|
|
|
|
19 |
40 |
22 |
33 |
10 |
61 |
15 |
60 |
11180 |
11180 |
|
C3 |
E8 |
C6 |
E1 |
B2 |
H5 |
B7 |
H4 |
|
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|
|
10 |
15 |
40 |
33 |
19 |
22 |
61 |
60 |
260 |
11180 |
|
B2 |
B7 |
E8 |
E1 |
C3 |
C6 |
H5 |
H4 |
|
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| |
|
|
H3 |
= |
59 |
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|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
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|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
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| |
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H4 |
= |
60 |
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
C4[3] |
G6 |
G7 |
C1 |
F5 |
B3 |
B2 |
F8 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
C4 |
G6 |
G7 |
C1 |
F5 |
B3 |
B2 |
F8 |
|
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|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
D6 |
D7 |
A8 |
H1 |
E2 |
E3 |
H4 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
D6 |
D7 |
A8 |
H1 |
E2 |
E3 |
H4 |
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| |
|
|
H5 |
= |
61 |
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|
G5 |
C3 |
C2 |
G8 |
B4 |
F6 |
F7 |
B1 |
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|
G5 |
C3 |
C2 |
G8 |
B4 |
F6 |
F7 |
B1 |
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C3 |
B4 |
B1 |
C2 |
F7 |
G8 |
G5 |
F6 |
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|
B2 |
C1 |
C4 |
B3 |
G6 |
F5 |
F8 |
G7 |
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| |
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H6 |
= |
62 |
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| |
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H7 |
= |
63 |
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| |
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H8 |
= |
64 |
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| |
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Modern Bimagic Square n8:6.1a |
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MS Matrix n8:6.1b |
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Modern Bimagic Square n8:6.2a |
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MS Matrix n8:6.2b |
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Modern Bimagic Square n8:6.1a |
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New Matrix n8:6.1b |
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Modern Bimagic Square n8:6.2a |
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MS Matrix n8:6.2b |
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| |
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MQM copy right © 2022 |
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20 |
16 |
38 |
58 |
9 |
21 |
63 |
35 |
11180 |
11180 |
|
C4 |
B8 |
E6 |
H2 |
B1 |
C5 |
H7 |
E3 |
|
|
|
|
|
20 |
39 |
13 |
58 |
9 |
62 |
24 |
35 |
11180 |
11180 |
|
C4 |
E7 |
B5 |
H2 |
B1 |
H6 |
C8 |
E3 |
|
|
|
|
|
5 |
42 |
4 |
47 |
32 |
51 |
25 |
54 |
11180 |
11180 |
|
A5 |
F2 |
A4 |
F7 |
D8 |
G3 |
D1 |
G6 |
|
|
|
|
|
5 |
4 |
51 |
54 |
32 |
25 |
42 |
47 |
260 |
11180 |
|
A5 |
A4 |
G3 |
G6 |
D8 |
D1 |
F2 |
F7 |
|
|
|
|
|
|
|
|
|
|
|
|
42 |
54 |
32 |
4 |
51 |
47 |
5 |
25 |
11180 |
11180 |
|
F2 |
G6 |
D8 |
A4 |
G3 |
F7 |
A5 |
D1 |
|
|
|
|
|
42 |
54 |
32 |
4 |
51 |
47 |
5 |
25 |
11180 |
11180 |
|
F2 |
G6 |
D8 |
A4 |
G3 |
F7 |
A5 |
D1 |
|
|
|
|
|
49 |
30 |
56 |
27 |
44 |
7 |
45 |
2 |
11180 |
11180 |
|
G1 |
D6 |
G8 |
D3 |
F4 |
A7 |
F5 |
A2 |
|
|
|
|
|
27 |
30 |
45 |
44 |
2 |
7 |
56 |
49 |
260 |
11180 |
|
D3 |
D6 |
F5 |
F4 |
A2 |
A7 |
G8 |
G1 |
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|
1 |
29 |
55 |
43 |
28 |
8 |
46 |
50 |
260 |
11180 |
|
A1 |
D5 |
G7 |
F3 |
D4 |
A8 |
F6 |
G2 |
|
|
|
|
|
1 |
29 |
55 |
43 |
28 |
8 |
46 |
50 |
260 |
11180 |
|
A1 |
D5 |
G7 |
F3 |
D4 |
A8 |
F6 |
G2 |
|
|
|
|
|
26 |
53 |
31 |
52 |
3 |
48 |
6 |
41 |
11180 |
11180 |
|
D2 |
G5 |
D7 |
G4 |
A3 |
F8 |
A6 |
F1 |
|
|
|
|
|
41 |
48 |
31 |
26 |
52 |
53 |
6 |
3 |
260 |
11180 |
|
F1 |
F8 |
D7 |
D2 |
G4 |
G5 |
A6 |
A3 |
|
|
|
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|
|
|
|
|
|
|
|
59 |
39 |
13 |
17 |
34 |
62 |
24 |
12 |
260 |
11180 |
|
H3 |
E7 |
B5 |
C1 |
E2 |
H6 |
C8 |
B4 |
|
|
|
|
|
59 |
16 |
38 |
17 |
34 |
21 |
63 |
12 |
260 |
11180 |
|
H3 |
B8 |
E6 |
C1 |
E2 |
C5 |
H7 |
B4 |
|
|
|
|
|
46 |
1 |
43 |
8 |
55 |
28 |
50 |
29 |
11180 |
11180 |
|
F6 |
A1 |
F3 |
A8 |
G7 |
D4 |
G2 |
D5 |
|
|
|
|
|
55 |
50 |
1 |
8 |
46 |
43 |
28 |
29 |
260 |
11180 |
|
G7 |
G2 |
A1 |
A8 |
F6 |
F3 |
D4 |
D5 |
|
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|
|
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|
|
|
|
|
|
53 |
41 |
3 |
31 |
48 |
52 |
26 |
6 |
260 |
11180 |
|
G5 |
F1 |
A3 |
D7 |
F8 |
G4 |
D2 |
A6 |
|
|
|
|
|
53 |
2 |
44 |
31 |
48 |
27 |
49 |
6 |
260 |
11180 |
|
G5 |
A2 |
F4 |
D7 |
F8 |
D3 |
G1 |
A6 |
|
|
|
|
|
36 |
15 |
37 |
10 |
57 |
22 |
64 |
19 |
11180 |
11180 |
|
E4 |
B7 |
E5 |
B2 |
H1 |
C6 |
H8 |
C3 |
|
|
|
|
|
36 |
37 |
22 |
19 |
57 |
64 |
15 |
10 |
260 |
11180 |
|
E4 |
E5 |
C6 |
C3 |
H1 |
H8 |
B7 |
B2 |
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|
|
|
|
|
|
15 |
19 |
57 |
37 |
22 |
10 |
36 |
64 |
260 |
11180 |
|
B7 |
C3 |
H1 |
E5 |
C6 |
B2 |
E4 |
H8 |
|
|
|
|
|
15 |
19 |
57 |
37 |
22 |
10 |
36 |
64 |
260 |
11180 |
|
B7 |
C3 |
H1 |
E5 |
C6 |
B2 |
E4 |
H8 |
|
|
|
|
|
24 |
59 |
17 |
62 |
13 |
34 |
12 |
39 |
11180 |
11180 |
|
C8 |
H3 |
C1 |
H6 |
B5 |
E2 |
B4 |
E7 |
|
|
|
|
|
62 |
59 |
12 |
13 |
39 |
34 |
17 |
24 |
260 |
11180 |
|
H6 |
H3 |
B4 |
B5 |
E7 |
E2 |
C1 |
C8 |
|
|
|
|
|
|
|
|
|
|
|
|
40 |
60 |
18 |
14 |
61 |
33 |
11 |
23 |
11180 |
11180 |
|
E8 |
H4 |
C2 |
B6 |
H5 |
E1 |
B3 |
C7 |
|
|
|
|
|
40 |
60 |
18 |
14 |
61 |
33 |
11 |
23 |
11180 |
11180 |
|
E8 |
H4 |
C2 |
B6 |
H5 |
E1 |
B3 |
C7 |
|
|
|
|
|
63 |
20 |
58 |
21 |
38 |
9 |
35 |
16 |
11180 |
11180 |
|
H7 |
C4 |
H2 |
C5 |
E6 |
B1 |
E3 |
B8 |
|
|
|
|
|
16 |
9 |
58 |
63 |
21 |
20 |
35 |
38 |
260 |
11180 |
|
B8 |
B1 |
H2 |
H7 |
C5 |
C4 |
E3 |
E6 |
|
|
|
|
|
|
|
|
|
|
|
|
30 |
2 |
44 |
56 |
7 |
27 |
49 |
45 |
11180 |
11180 |
|
D6 |
A2 |
F4 |
G8 |
A7 |
D3 |
G1 |
F5 |
|
|
|
|
|
30 |
41 |
3 |
56 |
7 |
52 |
26 |
45 |
11180 |
11180 |
|
D6 |
F1 |
A3 |
G8 |
A7 |
G4 |
D2 |
F5 |
|
|
|
|
|
11 |
40 |
14 |
33 |
18 |
61 |
23 |
60 |
11180 |
11180 |
|
B3 |
E8 |
B6 |
E1 |
C2 |
H5 |
C7 |
H4 |
|
|
|
|
|
18 |
23 |
40 |
33 |
11 |
14 |
61 |
60 |
260 |
11180 |
|
C2 |
C7 |
E8 |
E1 |
B3 |
B6 |
H5 |
H4 |
|
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
11180 |
11180 |
11180 |
11180 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
C4 |
G6 |
G7 |
C1 |
F8 |
B2 |
B3 |
F5 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
C4 |
G6 |
G7 |
C1 |
F8 |
B2 |
B3 |
F5 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
D6 |
D7 |
A8 |
H1 |
E2 |
E3 |
H4 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
D6 |
D7 |
A8 |
H1 |
E2 |
E3 |
H4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
D6 |
H4 |
H1 |
D7 |
E2 |
A8 |
A5 |
E3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
D6 |
H4 |
H1 |
D7 |
E2 |
A8 |
A5 |
E3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
B3 |
C4 |
C1 |
B2 |
G7 |
F8 |
F5 |
G6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
C2 |
B1 |
B4 |
C3 |
F6 |
G5 |
G8 |
F7 |
|
|
|
|
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|
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|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:7.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:7.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:7.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:7.2b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:7.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:7.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:7.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:7.2b |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
34 |
21 |
63 |
12 |
17 |
38 |
16 |
59 |
11180 |
11180 |
|
E2 |
C5 |
H7 |
B4 |
C1 |
E6 |
B8 |
H3 |
|
|
|
|
|
34 |
62 |
24 |
12 |
17 |
13 |
39 |
59 |
11180 |
11180 |
|
E2 |
H6 |
C8 |
B4 |
C1 |
B5 |
E7 |
H3 |
|
|
|
|
|
5 |
40 |
43 |
10 |
32 |
61 |
50 |
19 |
260 |
11180 |
|
A5 |
E8 |
F3 |
B2 |
D8 |
H5 |
G2 |
C3 |
|
|
|
|
|
5 |
50 |
40 |
19 |
32 |
43 |
61 |
10 |
11180 |
11180 |
|
A5 |
G2 |
E8 |
C3 |
D8 |
F3 |
H5 |
B2 |
|
|
|
|
|
|
|
|
|
|
|
|
28 |
8 |
46 |
50 |
43 |
55 |
29 |
1 |
11180 |
11180 |
|
D4 |
A8 |
F6 |
G2 |
F3 |
G7 |
D5 |
A1 |
|
|
|
|
|
28 |
8 |
46 |
50 |
43 |
55 |
29 |
1 |
11180 |
11180 |
|
D4 |
A8 |
F6 |
G2 |
F3 |
G7 |
D5 |
A1 |
|
|
|
|
|
63 |
30 |
17 |
52 |
38 |
7 |
12 |
41 |
260 |
11180 |
|
H7 |
D6 |
C1 |
G4 |
E6 |
A7 |
B4 |
F1 |
|
|
|
|
|
41 |
30 |
12 |
63 |
52 |
7 |
17 |
38 |
11180 |
11180 |
|
F1 |
D6 |
B4 |
H7 |
G4 |
A7 |
C1 |
E6 |
|
|
|
|
|
|
|
|
|
|
|
|
51 |
47 |
5 |
25 |
4 |
32 |
54 |
42 |
11180 |
11180 |
|
G3 |
F7 |
A5 |
D1 |
A4 |
D8 |
G6 |
F2 |
|
|
|
|
|
51 |
47 |
5 |
25 |
4 |
32 |
54 |
42 |
11180 |
11180 |
|
G3 |
F7 |
A5 |
D1 |
A4 |
D8 |
G6 |
F2 |
|
|
|
|
|
49 |
20 |
31 |
62 |
44 |
9 |
6 |
39 |
260 |
11180 |
|
G1 |
C4 |
D7 |
H6 |
F4 |
B1 |
A6 |
E7 |
|
|
|
|
|
62 |
9 |
31 |
44 |
39 |
20 |
6 |
49 |
11180 |
11180 |
|
H6 |
B1 |
D7 |
F4 |
E7 |
C4 |
A6 |
G1 |
|
|
|
|
|
|
|
|
|
|
|
|
9 |
62 |
24 |
35 |
58 |
13 |
39 |
20 |
11180 |
11180 |
|
B1 |
H6 |
C8 |
E3 |
H2 |
B5 |
E7 |
C4 |
|
|
|
|
|
9 |
21 |
63 |
35 |
58 |
38 |
16 |
20 |
11180 |
11180 |
|
B1 |
C5 |
H7 |
E3 |
H2 |
E6 |
B8 |
C4 |
|
|
|
|
|
11 |
42 |
37 |
8 |
18 |
51 |
64 |
29 |
260 |
11180 |
|
B3 |
F2 |
E5 |
A8 |
C2 |
G3 |
H8 |
D5 |
|
|
|
|
|
18 |
37 |
51 |
8 |
11 |
64 |
42 |
29 |
11180 |
11180 |
|
C2 |
E5 |
G3 |
A8 |
B3 |
H8 |
F2 |
D5 |
|
|
|
|
|
|
|
|
|
|
|
|
48 |
27 |
49 |
6 |
31 |
44 |
2 |
53 |
11180 |
11180 |
|
F8 |
D3 |
G1 |
A6 |
D7 |
F4 |
A2 |
G5 |
|
|
|
|
|
48 |
52 |
26 |
6 |
31 |
3 |
41 |
53 |
11180 |
11180 |
|
F8 |
G4 |
D2 |
A6 |
D7 |
A3 |
F1 |
G5 |
|
|
|
|
|
36 |
1 |
14 |
47 |
57 |
28 |
23 |
54 |
260 |
11180 |
|
E4 |
A1 |
B6 |
F7 |
H1 |
D4 |
C7 |
G6 |
|
|
|
|
|
36 |
23 |
1 |
54 |
57 |
14 |
28 |
47 |
11180 |
11180 |
|
E4 |
C7 |
A1 |
G6 |
H1 |
B6 |
D4 |
F7 |
|
|
|
|
|
|
|
|
|
|
|
|
22 |
10 |
36 |
64 |
37 |
57 |
19 |
15 |
11180 |
11180 |
|
C6 |
B2 |
E4 |
H8 |
E5 |
H1 |
C3 |
B7 |
|
|
|
|
|
22 |
10 |
36 |
64 |
37 |
57 |
19 |
15 |
11180 |
11180 |
|
C6 |
B2 |
E4 |
H8 |
E5 |
H1 |
C3 |
B7 |
|
|
|
|
|
26 |
59 |
56 |
21 |
3 |
34 |
45 |
16 |
260 |
11180 |
|
D2 |
H3 |
G8 |
C5 |
A3 |
E2 |
F5 |
B8 |
|
|
|
|
|
16 |
59 |
45 |
26 |
21 |
34 |
56 |
3 |
11180 |
11180 |
|
B8 |
H3 |
F5 |
D2 |
C5 |
E2 |
G8 |
A3 |
|
|
|
|
|
|
|
|
|
|
|
|
61 |
33 |
11 |
23 |
14 |
18 |
60 |
40 |
11180 |
11180 |
|
H5 |
E1 |
B3 |
C7 |
B6 |
C2 |
H4 |
E8 |
|
|
|
|
|
61 |
33 |
11 |
23 |
14 |
18 |
60 |
40 |
11180 |
11180 |
|
H5 |
E1 |
B3 |
C7 |
B6 |
C2 |
H4 |
E8 |
|
|
|
|
|
24 |
53 |
58 |
27 |
13 |
48 |
35 |
2 |
260 |
11180 |
|
C8 |
G5 |
H2 |
D3 |
B5 |
F8 |
E3 |
A2 |
|
|
|
|
|
27 |
48 |
58 |
13 |
2 |
53 |
35 |
24 |
11180 |
11180 |
|
D3 |
F8 |
H2 |
B5 |
A2 |
G5 |
E3 |
C8 |
|
|
|
|
|
|
|
|
|
|
|
|
7 |
52 |
26 |
45 |
56 |
3 |
41 |
30 |
11180 |
11180 |
|
A7 |
G4 |
D2 |
F5 |
G8 |
A3 |
F1 |
D6 |
|
|
|
|
|
7 |
27 |
49 |
45 |
56 |
44 |
2 |
30 |
11180 |
11180 |
|
A7 |
D3 |
G1 |
F5 |
G8 |
F4 |
A2 |
D6 |
|
|
|
|
|
46 |
15 |
4 |
33 |
55 |
22 |
25 |
60 |
260 |
11180 |
|
F6 |
B7 |
A4 |
E1 |
G7 |
C6 |
D1 |
H4 |
|
|
|
|
|
55 |
4 |
22 |
33 |
46 |
25 |
15 |
60 |
11180 |
11180 |
|
G7 |
A4 |
C6 |
E1 |
F6 |
D1 |
B7 |
H4 |
|
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
E2 |
A8 |
A5 |
E3 |
D7 |
H1 |
H4 |
D6 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
E2 |
A8 |
A5 |
E3 |
D7 |
H1 |
H4 |
D6 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
D6 |
D7 |
A8 |
H1 |
E2 |
E3 |
H4 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
D6 |
D7 |
A8 |
H1 |
E2 |
E3 |
H4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
A7 |
E1 |
E4 |
A6 |
H2 |
D8 |
D5 |
H3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
A7 |
E1 |
E4 |
A6 |
H2 |
D8 |
D5 |
H3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
F6 |
G5 |
G8 |
F7 |
C2 |
B1 |
B4 |
C3 |
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|
G7 |
F8 |
F5 |
G6 |
B3 |
C4 |
C1 |
B3 |
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|
Modern Bimagic Square n8:8.1a |
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|
MS Matrix n8:8.1b |
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|
Modern Bimagic Square n8:8.2a |
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MS Matrix n8:8.2b |
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|
Modern Bimagic Square n8:8.1a |
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MS Matrix n8:8.1b |
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|
Modern Bimagic Square n8:8.2a |
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MS Matrix n8:8.2b |
|
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|
|
|
|
|
34 |
21 |
63 |
12 |
59 |
16 |
38 |
17 |
11180 |
11180 |
|
E2 |
C5 |
H7 |
B4 |
H3 |
B8 |
E6 |
C1 |
|
|
|
|
|
34 |
62 |
24 |
12 |
59 |
39 |
13 |
17 |
11180 |
11180 |
|
E2 |
H6 |
C8 |
B4 |
H3 |
E7 |
B5 |
C1 |
|
|
|
|
|
5 |
40 |
51 |
18 |
32 |
61 |
42 |
11 |
260 |
11180 |
|
A5 |
E8 |
G3 |
C2 |
D8 |
H5 |
F2 |
B3 |
|
|
|
|
|
5 |
42 |
40 |
11 |
32 |
51 |
61 |
18 |
11180 |
11180 |
|
A5 |
F2 |
E8 |
B3 |
D8 |
G3 |
H5 |
C2 |
|
|
|
|
|
|
|
|
|
|
|
|
28 |
8 |
46 |
50 |
1 |
29 |
55 |
43 |
11180 |
11180 |
|
D4 |
A8 |
F6 |
G2 |
A1 |
D5 |
G7 |
F3 |
|
|
|
|
|
28 |
8 |
46 |
50 |
1 |
29 |
55 |
43 |
11180 |
11180 |
|
D4 |
A8 |
F6 |
G2 |
A1 |
D5 |
G7 |
F3 |
|
|
|
|
|
63 |
30 |
9 |
44 |
38 |
7 |
20 |
49 |
260 |
11180 |
|
H7 |
D6 |
B1 |
F4 |
E6 |
A7 |
C4 |
G1 |
|
|
|
|
|
49 |
30 |
20 |
63 |
44 |
7 |
9 |
38 |
11180 |
11180 |
|
G1 |
D6 |
C4 |
H7 |
F4 |
A7 |
B1 |
E6 |
|
|
|
|
|
|
|
|
|
|
|
|
51 |
47 |
5 |
25 |
42 |
54 |
32 |
4 |
260 |
11180 |
|
G3 |
F7 |
A5 |
D1 |
F2 |
G6 |
D8 |
A4 |
|
|
|
|
|
51 |
47 |
5 |
25 |
42 |
54 |
32 |
4 |
260 |
11180 |
|
G3 |
F7 |
A5 |
D1 |
F2 |
G6 |
D8 |
A4 |
|
|
|
|
|
41 |
12 |
31 |
62 |
52 |
17 |
6 |
39 |
260 |
11180 |
|
F1 |
B4 |
D7 |
H6 |
G4 |
C1 |
A6 |
E7 |
|
|
|
|
|
62 |
17 |
31 |
52 |
39 |
12 |
6 |
41 |
11180 |
11180 |
|
H6 |
C1 |
D7 |
G4 |
E7 |
B4 |
A6 |
F1 |
|
|
|
|
|
|
|
|
|
|
|
|
9 |
62 |
24 |
35 |
20 |
39 |
13 |
58 |
260 |
11180 |
|
B1 |
H6 |
C8 |
E3 |
C4 |
E7 |
B5 |
H2 |
|
|
|
|
|
9 |
21 |
63 |
35 |
20 |
16 |
38 |
58 |
260 |
11180 |
|
B1 |
C5 |
H7 |
E3 |
C4 |
B8 |
E6 |
H2 |
|
|
|
|
|
19 |
50 |
37 |
8 |
10 |
43 |
64 |
29 |
260 |
11180 |
|
C3 |
G2 |
E5 |
A8 |
B2 |
F3 |
H8 |
D5 |
|
|
|
|
|
10 |
37 |
43 |
8 |
19 |
64 |
50 |
29 |
11180 |
11180 |
|
B2 |
E5 |
F3 |
A8 |
C3 |
H8 |
G2 |
D5 |
|
|
|
|
|
|
|
|
|
|
|
|
7 |
52 |
26 |
45 |
30 |
41 |
3 |
56 |
260 |
11180 |
|
A7 |
G4 |
D2 |
F5 |
D6 |
F1 |
A3 |
G8 |
|
|
|
|
|
7 |
27 |
49 |
45 |
30 |
2 |
44 |
56 |
260 |
11180 |
|
A7 |
D3 |
G1 |
F5 |
D6 |
A2 |
F4 |
G8 |
|
|
|
|
|
36 |
1 |
22 |
55 |
57 |
28 |
15 |
46 |
260 |
11180 |
|
E4 |
A1 |
C6 |
G7 |
H1 |
D4 |
B7 |
F6 |
|
|
|
|
|
36 |
15 |
1 |
46 |
57 |
22 |
28 |
55 |
11180 |
11180 |
|
E4 |
B7 |
A1 |
F6 |
H1 |
C6 |
D4 |
G7 |
|
|
|
|
|
|
|
|
|
|
|
|
61 |
33 |
11 |
23 |
40 |
60 |
18 |
14 |
260 |
11180 |
|
H5 |
E1 |
B3 |
C7 |
E8 |
H4 |
C2 |
B6 |
|
|
|
|
|
61 |
33 |
11 |
23 |
40 |
60 |
18 |
14 |
260 |
11180 |
|
H5 |
E1 |
B3 |
C7 |
E8 |
H4 |
C2 |
B6 |
|
|
|
|
|
26 |
59 |
48 |
13 |
3 |
34 |
53 |
24 |
260 |
11180 |
|
D2 |
H3 |
F8 |
B5 |
A3 |
E2 |
G5 |
C8 |
|
|
|
|
|
24 |
59 |
53 |
26 |
13 |
34 |
48 |
3 |
11180 |
11180 |
|
C8 |
H3 |
G5 |
D2 |
B5 |
E2 |
F8 |
A3 |
|
|
|
|
|
|
|
|
|
|
|
|
22 |
10 |
36 |
64 |
15 |
19 |
57 |
37 |
11180 |
11180 |
|
C6 |
B2 |
E4 |
H8 |
B7 |
C3 |
H1 |
E5 |
|
|
|
|
|
22 |
10 |
36 |
64 |
15 |
19 |
57 |
37 |
11180 |
11180 |
|
C6 |
B2 |
E4 |
H8 |
B7 |
C3 |
H1 |
E5 |
|
|
|
|
|
16 |
45 |
58 |
27 |
21 |
56 |
35 |
2 |
260 |
11180 |
|
B8 |
F5 |
H2 |
D3 |
C5 |
G8 |
E3 |
A2 |
|
|
|
|
|
27 |
56 |
58 |
21 |
2 |
45 |
35 |
16 |
11180 |
11180 |
|
D3 |
G8 |
H2 |
C5 |
A2 |
F5 |
E3 |
B8 |
|
|
|
|
|
|
|
|
|
|
|
|
48 |
27 |
49 |
6 |
53 |
2 |
44 |
31 |
11180 |
11180 |
|
F8 |
D3 |
G1 |
A6 |
G5 |
A2 |
F4 |
D7 |
|
|
|
|
|
48 |
52 |
26 |
6 |
53 |
41 |
3 |
31 |
11180 |
11180 |
|
F8 |
G4 |
D2 |
A6 |
G5 |
F1 |
A3 |
D7 |
|
|
|
|
|
54 |
23 |
4 |
33 |
47 |
14 |
25 |
60 |
260 |
11180 |
|
G6 |
C7 |
A4 |
E1 |
F7 |
B6 |
D1 |
H4 |
|
|
|
|
|
47 |
4 |
14 |
33 |
54 |
25 |
23 |
60 |
11180 |
11180 |
|
F7 |
A4 |
B6 |
E1 |
G6 |
D1 |
C7 |
H4 |
|
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
E2 |
A8 |
A5 |
E3 |
D6 |
H4 |
H1 |
D7 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
E2 |
A8 |
A5 |
E3 |
D6 |
H4 |
H1 |
D7 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
D6 |
D7 |
A8 |
H1 |
E2 |
E3 |
H4 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
D6 |
D7 |
A8 |
H1 |
E2 |
E3 |
H4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
F8 |
B2 |
B3 |
F5 |
C4 |
G6 |
G7 |
C1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
F8 |
B2 |
B3 |
F5 |
C4 |
G6 |
G7 |
C1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
G6 |
F5 |
F8 |
G7 |
B2 |
C1 |
C4 |
B3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
F7 |
G8 |
G5 |
F6 |
C3 |
B4 |
B1 |
C2 |
|
|
|
|
|
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|
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|
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|
|
|
Modern Bimagic Square n8:9.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:9.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:9.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:9.2b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:9.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:9.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:9.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:9.2b |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
50 |
37 |
29 |
8 |
64 |
43 |
19 |
11180 |
11180 |
|
B2 |
G2 |
E5 |
D5 |
A8 |
H8 |
F3 |
C3 |
|
|
|
|
|
10 |
50 |
37 |
29 |
8 |
64 |
43 |
19 |
11180 |
11180 |
|
B2 |
G2 |
E5 |
D5 |
A8 |
H8 |
F3 |
C3 |
|
|
|
|
|
5 |
42 |
4 |
54 |
47 |
25 |
51 |
32 |
11180 |
|
|
A5 |
F2 |
A4 |
G6 |
F7 |
D1 |
G3 |
D8 |
|
|
|
|
|
5 |
42 |
4 |
54 |
47 |
25 |
51 |
32 |
11180 |
|
|
A5 |
F2 |
A4 |
G6 |
F7 |
D1 |
G3 |
D8 |
|
|
|
|
|
|
|
|
|
|
|
|
21 |
45 |
58 |
2 |
27 |
35 |
56 |
16 |
11180 |
11180 |
|
C5 |
F5 |
H2 |
A2 |
D3 |
E3 |
G8 |
B8 |
|
|
|
|
|
3 |
45 |
58 |
24 |
13 |
35 |
56 |
26 |
11180 |
11180 |
|
A3 |
F5 |
H2 |
C8 |
B5 |
E3 |
G8 |
D2 |
|
|
|
|
|
27 |
30 |
56 |
44 |
49 |
45 |
7 |
2 |
11180 |
|
|
D3 |
D6 |
G8 |
F4 |
G1 |
F5 |
A7 |
A2 |
|
|
|
|
|
41 |
30 |
56 |
26 |
3 |
45 |
7 |
52 |
11180 |
|
|
F1 |
D6 |
G8 |
D2 |
A3 |
F5 |
A7 |
G4 |
|
|
|
|
|
|
|
|
|
|
|
|
3 |
59 |
48 |
24 |
13 |
53 |
34 |
26 |
11180 |
11180 |
|
A3 |
H3 |
F8 |
C8 |
B5 |
G5 |
E2 |
D2 |
|
|
|
|
|
21 |
59 |
48 |
2 |
27 |
53 |
34 |
16 |
11180 |
11180 |
|
C5 |
H3 |
F8 |
A2 |
D3 |
G5 |
E2 |
B8 |
|
|
|
|
|
41 |
53 |
31 |
26 |
3 |
6 |
48 |
52 |
11180 |
|
|
F1 |
G5 |
D7 |
D2 |
A3 |
A6 |
F8 |
G4 |
|
|
|
|
|
27 |
53 |
31 |
44 |
49 |
6 |
48 |
2 |
11180 |
|
|
D3 |
G5 |
D7 |
F4 |
G1 |
A6 |
F8 |
A2 |
|
|
|
|
|
|
|
|
|
|
|
|
32 |
40 |
51 |
11 |
18 |
42 |
61 |
5 |
11180 |
11180 |
|
D8 |
E8 |
G3 |
B3 |
C2 |
F2 |
H5 |
A5 |
|
|
|
|
|
32 |
40 |
51 |
11 |
18 |
42 |
61 |
5 |
11180 |
11180 |
|
D8 |
E8 |
G3 |
B3 |
C2 |
F2 |
H5 |
A5 |
|
|
|
|
|
55 |
1 |
43 |
8 |
29 |
50 |
28 |
46 |
11180 |
|
|
G7 |
A1 |
F3 |
A8 |
D5 |
G2 |
D4 |
F6 |
|
|
|
|
|
55 |
1 |
43 |
8 |
29 |
50 |
28 |
46 |
11180 |
|
|
G7 |
A1 |
F3 |
A8 |
D5 |
G2 |
D4 |
F6 |
|
|
|
|
|
|
|
|
|
|
|
|
57 |
1 |
22 |
46 |
55 |
15 |
28 |
36 |
11180 |
11180 |
|
H1 |
A1 |
C6 |
F6 |
G7 |
B7 |
D4 |
E4 |
|
|
|
|
|
57 |
1 |
22 |
46 |
55 |
15 |
28 |
36 |
11180 |
11180 |
|
H1 |
A1 |
C6 |
F6 |
G7 |
B7 |
D4 |
E4 |
|
|
|
|
|
18 |
40 |
14 |
33 |
60 |
23 |
61 |
11 |
11180 |
|
|
C2 |
E8 |
B6 |
E1 |
H4 |
C7 |
H5 |
B3 |
|
|
|
|
|
18 |
40 |
14 |
33 |
60 |
23 |
61 |
11 |
11180 |
|
|
C2 |
E8 |
B6 |
E1 |
H4 |
C7 |
H5 |
B3 |
|
|
|
|
|
|
|
|
|
|
|
|
38 |
30 |
9 |
49 |
44 |
20 |
7 |
63 |
11180 |
11180 |
|
E6 |
D6 |
B1 |
G1 |
F4 |
C4 |
A7 |
H7 |
|
|
|
|
|
52 |
30 |
9 |
39 |
62 |
20 |
7 |
41 |
11180 |
11180 |
|
G4 |
D6 |
B1 |
E7 |
H6 |
C4 |
A7 |
F1 |
|
|
|
|
|
16 |
20 |
58 |
63 |
38 |
35 |
9 |
21 |
11180 |
|
|
B8 |
C4 |
H2 |
H7 |
E6 |
E3 |
B1 |
C5 |
|
|
|
|
|
62 |
20 |
58 |
13 |
24 |
35 |
9 |
39 |
11180 |
|
|
H6 |
C4 |
H2 |
B5 |
C8 |
E3 |
B1 |
E7 |
|
|
|
|
|
|
|
|
|
|
|
|
52 |
12 |
31 |
39 |
62 |
6 |
17 |
41 |
11180 |
11180 |
|
G4 |
B4 |
D7 |
E7 |
H6 |
A6 |
C1 |
F1 |
|
|
|
|
|
38 |
12 |
31 |
49 |
44 |
6 |
17 |
63 |
11180 |
11180 |
|
E6 |
B4 |
D7 |
G1 |
F4 |
A6 |
C1 |
H7 |
|
|
|
|
|
62 |
59 |
17 |
13 |
24 |
12 |
34 |
39 |
11180 |
|
|
H6 |
H3 |
C1 |
B5 |
C8 |
B4 |
E2 |
E7 |
|
|
|
|
|
16 |
59 |
17 |
63 |
38 |
12 |
34 |
21 |
11180 |
|
|
B8 |
H3 |
C1 |
H7 |
E6 |
B4 |
E2 |
C5 |
|
|
|
|
|
|
|
|
|
|
|
|
47 |
23 |
4 |
60 |
33 |
25 |
14 |
54 |
11180 |
11180 |
|
F7 |
C7 |
A4 |
H4 |
E1 |
D1 |
B6 |
G6 |
|
|
|
|
|
47 |
23 |
4 |
60 |
33 |
25 |
14 |
54 |
11180 |
11180 |
|
F7 |
C7 |
A4 |
H4 |
E1 |
D1 |
B6 |
G6 |
|
|
|
|
|
36 |
15 |
37 |
19 |
10 |
64 |
22 |
57 |
11180 |
|
|
E4 |
B7 |
E5 |
C3 |
B2 |
H8 |
C6 |
H1 |
|
|
|
|
|
36 |
15 |
37 |
19 |
10 |
64 |
22 |
57 |
11180 |
|
|
E4 |
B7 |
E5 |
C3 |
B2 |
H8 |
C6 |
H1 |
|
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
|
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
|
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
B2 |
F5 |
F8 |
B3 |
G7 |
C4 |
C1 |
G6 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
B2 |
F5 |
F8 |
B3 |
G7 |
C4 |
C1 |
G6 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
|
|
A5 |
D6 |
D7 |
A8 |
H4 |
E3 |
E2 |
H1 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
|
|
A5 |
D6 |
D7 |
A8 |
H4 |
E3 |
E2 |
H1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
F7 |
B4 |
B1 |
F6 |
C2 |
G5 |
G8 |
C3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
F7 |
B4 |
B1 |
F6 |
C2 |
G5 |
G8 |
C3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E4 |
H3 |
H2 |
E1 |
D5 |
A6 |
A7 |
D8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E4 |
H3 |
H2 |
E1 |
D5 |
A6 |
A7 |
D8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
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|
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|
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|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:10.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:10.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:10.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:10.2b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:10.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:10.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:10.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:10.2b |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
50 |
37 |
29 |
19 |
43 |
64 |
8 |
260 |
11180 |
|
B2 |
G2 |
E5 |
D5 |
C3 |
F3 |
H8 |
A8 |
|
|
|
|
|
10 |
50 |
37 |
29 |
19 |
43 |
64 |
8 |
260 |
11180 |
|
B2 |
G2 |
E5 |
D5 |
C3 |
F3 |
H8 |
A8 |
|
|
|
|
|
9 |
16 |
63 |
35 |
58 |
38 |
21 |
20 |
11180 |
|
|
B1 |
B8 |
H7 |
E3 |
H2 |
E6 |
C5 |
C4 |
|
|
|
|
|
9 |
62 |
13 |
35 |
58 |
24 |
39 |
20 |
11180 |
|
|
B1 |
H6 |
B5 |
E3 |
H2 |
C8 |
E7 |
C4 |
|
|
|
|
|
|
|
|
|
|
|
|
21 |
45 |
58 |
2 |
16 |
56 |
35 |
27 |
260 |
11180 |
|
C5 |
F5 |
H2 |
A2 |
B8 |
G8 |
E3 |
D3 |
|
|
|
|
|
3 |
45 |
58 |
24 |
26 |
56 |
35 |
13 |
260 |
11180 |
|
A3 |
F5 |
H2 |
C8 |
D2 |
G8 |
E3 |
B5 |
|
|
|
|
|
61 |
18 |
33 |
23 |
14 |
60 |
11 |
40 |
11180 |
|
|
H5 |
C2 |
E1 |
C7 |
B6 |
H4 |
B3 |
E8 |
|
|
|
|
|
61 |
18 |
33 |
23 |
14 |
60 |
11 |
40 |
11180 |
|
|
H5 |
C2 |
E1 |
C7 |
B6 |
H4 |
B3 |
E8 |
|
|
|
|
|
|
|
|
|
|
|
|
3 |
59 |
48 |
24 |
26 |
34 |
53 |
13 |
260 |
11180 |
|
A3 |
H3 |
F8 |
C8 |
D2 |
E2 |
G5 |
B5 |
|
|
|
|
|
21 |
59 |
48 |
2 |
16 |
34 |
53 |
27 |
260 |
11180 |
|
C5 |
H3 |
F8 |
A2 |
B8 |
E2 |
G5 |
D3 |
|
|
|
|
|
22 |
36 |
19 |
64 |
37 |
10 |
57 |
15 |
11180 |
|
|
C6 |
E4 |
C3 |
H8 |
E5 |
B2 |
H1 |
B7 |
|
|
|
|
|
22 |
36 |
19 |
64 |
37 |
10 |
57 |
15 |
11180 |
|
|
C6 |
E4 |
C3 |
H8 |
E5 |
B2 |
H1 |
B7 |
|
|
|
|
|
|
|
|
|
|
|
|
32 |
40 |
51 |
11 |
5 |
61 |
42 |
18 |
260 |
11180 |
|
D8 |
E8 |
G3 |
B3 |
A5 |
H5 |
F2 |
C2 |
|
|
|
|
|
32 |
40 |
51 |
11 |
5 |
61 |
42 |
18 |
260 |
11180 |
|
D8 |
E8 |
G3 |
B3 |
A5 |
H5 |
F2 |
C2 |
|
|
|
|
|
34 |
62 |
13 |
12 |
17 |
24 |
39 |
59 |
11180 |
|
|
E2 |
H6 |
B5 |
B4 |
C1 |
C8 |
E7 |
H3 |
|
|
|
|
|
34 |
16 |
63 |
12 |
17 |
38 |
21 |
59 |
11180 |
|
|
E2 |
B8 |
H7 |
B4 |
C1 |
E6 |
C5 |
H3 |
|
|
|
|
|
|
|
|
|
|
|
|
47 |
23 |
4 |
60 |
54 |
14 |
25 |
33 |
260 |
11180 |
|
F7 |
C7 |
A4 |
H4 |
G6 |
B6 |
D1 |
E1 |
|
|
|
|
|
47 |
23 |
4 |
60 |
54 |
14 |
25 |
33 |
260 |
11180 |
|
F7 |
C7 |
A4 |
H4 |
G6 |
B6 |
D1 |
E1 |
|
|
|
|
|
7 |
27 |
44 |
45 |
56 |
49 |
2 |
30 |
11180 |
|
|
A7 |
D3 |
F4 |
F5 |
G8 |
G1 |
A2 |
D6 |
|
|
|
|
|
7 |
41 |
26 |
45 |
56 |
3 |
52 |
30 |
11180 |
|
|
A7 |
F1 |
D2 |
F5 |
G8 |
A3 |
G4 |
D6 |
|
|
|
|
|
|
|
|
|
|
|
|
52 |
12 |
31 |
39 |
41 |
17 |
6 |
62 |
260 |
11180 |
|
G4 |
B4 |
D7 |
E7 |
F1 |
C1 |
A6 |
H6 |
|
|
|
|
|
38 |
12 |
31 |
49 |
63 |
17 |
6 |
44 |
260 |
11180 |
|
E6 |
B4 |
D7 |
G1 |
H7 |
C1 |
A6 |
F4 |
|
|
|
|
|
51 |
5 |
54 |
25 |
4 |
47 |
32 |
42 |
11180 |
|
|
G3 |
A5 |
G6 |
D1 |
A4 |
F7 |
D8 |
F2 |
|
|
|
|
|
51 |
5 |
54 |
25 |
4 |
47 |
32 |
42 |
11180 |
|
|
G3 |
A5 |
G6 |
D1 |
A4 |
F7 |
D8 |
F2 |
|
|
|
|
|
|
|
|
|
|
|
|
38 |
30 |
9 |
49 |
63 |
7 |
20 |
44 |
260 |
11180 |
|
E6 |
D6 |
B1 |
G1 |
H7 |
A7 |
C4 |
F4 |
|
|
|
|
|
52 |
30 |
9 |
39 |
41 |
7 |
20 |
62 |
260 |
11180 |
|
G4 |
D6 |
B1 |
E7 |
F1 |
A7 |
C4 |
H6 |
|
|
|
|
|
28 |
55 |
8 |
50 |
43 |
29 |
46 |
1 |
11180 |
|
|
D4 |
G7 |
A8 |
G2 |
F3 |
D5 |
F6 |
A1 |
|
|
|
|
|
28 |
55 |
8 |
50 |
43 |
29 |
46 |
1 |
11180 |
|
|
D4 |
G7 |
A8 |
G2 |
F3 |
D5 |
F6 |
A1 |
|
|
|
|
|
|
|
|
|
|
|
|
57 |
1 |
22 |
46 |
36 |
28 |
15 |
55 |
260 |
11180 |
|
H1 |
A1 |
C6 |
F6 |
E4 |
D4 |
B7 |
G7 |
|
|
|
|
|
57 |
1 |
22 |
46 |
36 |
28 |
15 |
55 |
260 |
11180 |
|
H1 |
A1 |
C6 |
F6 |
E4 |
D4 |
B7 |
G7 |
|
|
|
|
|
48 |
41 |
26 |
6 |
31 |
3 |
52 |
53 |
11180 |
|
|
F8 |
F1 |
D2 |
A6 |
D7 |
A3 |
G4 |
G5 |
|
|
|
|
|
48 |
27 |
44 |
6 |
31 |
49 |
2 |
53 |
11180 |
|
|
F8 |
D3 |
F4 |
A6 |
D7 |
G1 |
A2 |
G5 |
|
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
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|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
|
|
Diagonal 6 |
|
|
|
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|
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|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
|
|
Diagonal 6 |
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|
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|
|
|
|
|
|
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|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
B2 |
F5 |
F8 |
B3 |
G6 |
C1 |
C4 |
G7 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
B2 |
F5 |
F8 |
B3 |
G6 |
C1 |
C4 |
G7 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
|
|
B1 |
C2 |
C3 |
B4 |
G8 |
F7 |
F6 |
G5 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
|
|
B1 |
C2 |
C3 |
B4 |
G8 |
F7 |
F6 |
G5 |
|
|
|
|
|
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|
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|
|
|
|
|
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|
|
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|
|
|
|
H1 |
D6 |
D7 |
H4 |
A5 |
E2 |
E3 |
A8 |
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
H1 |
D6 |
D7 |
H4 |
A5 |
E2 |
E3 |
A8 |
|
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|
|
|
|
|
|
|
|
|
F8 |
G7 |
G6 |
F5 |
C1 |
B2 |
B3 |
C4 |
|
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|
|
|
|
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|
|
|
|
F8 |
G7 |
G6 |
F5 |
C1 |
B2 |
B3 |
C4 |
|
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|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:11.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:11.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:11.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:11.2b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:11.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:11.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:11.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:11.2b |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
18 |
42 |
40 |
32 |
5 |
61 |
51 |
11 |
11180 |
11180 |
|
C2 |
F2 |
E8 |
D8 |
A5 |
H5 |
G3 |
B3 |
|
|
|
|
|
18 |
42 |
40 |
32 |
5 |
61 |
51 |
11 |
11180 |
11180 |
|
C2 |
F2 |
E8 |
D8 |
A5 |
H5 |
G3 |
B3 |
|
|
|
|
|
5 |
4 |
51 |
47 |
54 |
42 |
25 |
32 |
11180 |
|
|
A5 |
A4 |
G3 |
F7 |
G6 |
F2 |
D1 |
D8 |
|
|
|
|
|
5 |
4 |
51 |
47 |
54 |
42 |
25 |
32 |
11180 |
|
|
A5 |
A4 |
G3 |
F7 |
G6 |
F2 |
D1 |
D8 |
|
|
|
|
|
|
|
|
|
|
|
|
16 |
56 |
58 |
2 |
27 |
35 |
45 |
21 |
11180 |
11180 |
|
B8 |
G8 |
H2 |
A2 |
D3 |
E3 |
F5 |
C5 |
|
|
|
|
|
3 |
56 |
58 |
13 |
24 |
35 |
45 |
26 |
11180 |
11180 |
|
A3 |
G8 |
H2 |
B5 |
C8 |
E3 |
F5 |
D2 |
|
|
|
|
|
49 |
30 |
45 |
27 |
2 |
56 |
7 |
44 |
11180 |
|
|
G1 |
D6 |
F5 |
D3 |
A2 |
G8 |
A7 |
F4 |
|
|
|
|
|
26 |
30 |
45 |
52 |
41 |
56 |
7 |
3 |
11180 |
|
|
D2 |
D6 |
F5 |
G4 |
F1 |
G8 |
A7 |
A3 |
|
|
|
|
|
|
|
|
|
|
|
|
3 |
59 |
53 |
13 |
24 |
48 |
34 |
26 |
11180 |
11180 |
|
A3 |
H3 |
G5 |
B5 |
C8 |
F8 |
E2 |
D2 |
|
|
|
|
|
16 |
59 |
53 |
2 |
27 |
48 |
34 |
21 |
11180 |
11180 |
|
B8 |
H3 |
G5 |
A2 |
D3 |
F8 |
E2 |
C5 |
|
|
|
|
|
26 |
48 |
31 |
52 |
41 |
6 |
53 |
3 |
11180 |
|
|
D2 |
F8 |
D7 |
G4 |
F1 |
A6 |
G5 |
A3 |
|
|
|
|
|
49 |
48 |
31 |
27 |
2 |
6 |
53 |
44 |
11180 |
|
|
G1 |
F8 |
D7 |
D3 |
A2 |
A6 |
G5 |
F4 |
|
|
|
|
|
|
|
|
|
|
|
|
29 |
37 |
43 |
19 |
10 |
50 |
64 |
8 |
11180 |
11180 |
|
D5 |
E5 |
F3 |
C3 |
B2 |
G2 |
H8 |
A8 |
|
|
|
|
|
29 |
37 |
43 |
19 |
10 |
50 |
64 |
8 |
11180 |
11180 |
|
D5 |
E5 |
F3 |
C3 |
B2 |
G2 |
H8 |
A8 |
|
|
|
|
|
46 |
50 |
1 |
8 |
29 |
28 |
43 |
55 |
11180 |
|
|
F6 |
G2 |
A1 |
A8 |
D5 |
D4 |
F3 |
G7 |
|
|
|
|
|
46 |
50 |
1 |
8 |
29 |
28 |
43 |
55 |
11180 |
|
|
F6 |
G2 |
A1 |
A8 |
D5 |
D4 |
F3 |
G7 |
|
|
|
|
|
|
|
|
|
|
|
|
60 |
4 |
14 |
54 |
47 |
23 |
25 |
33 |
11180 |
11180 |
|
H4 |
A4 |
B6 |
G6 |
F7 |
C7 |
D1 |
E1 |
|
|
|
|
|
60 |
4 |
14 |
54 |
47 |
23 |
25 |
33 |
11180 |
11180 |
|
H4 |
A4 |
B6 |
G6 |
F7 |
C7 |
D1 |
E1 |
|
|
|
|
|
11 |
23 |
40 |
33 |
60 |
61 |
14 |
18 |
11180 |
|
|
B3 |
C7 |
E8 |
E1 |
H4 |
H5 |
B6 |
C2 |
|
|
|
|
|
11 |
23 |
40 |
33 |
60 |
61 |
14 |
18 |
11180 |
|
|
B3 |
C7 |
E8 |
E1 |
H4 |
H5 |
B6 |
C2 |
|
|
|
|
|
|
|
|
|
|
|
|
38 |
30 |
20 |
44 |
49 |
9 |
7 |
63 |
11180 |
11180 |
|
E6 |
D6 |
C4 |
F4 |
G1 |
B1 |
A7 |
H7 |
|
|
|
|
|
41 |
30 |
20 |
39 |
62 |
9 |
7 |
52 |
11180 |
11180 |
|
F1 |
D6 |
C4 |
E7 |
H6 |
B1 |
A7 |
G4 |
|
|
|
|
|
63 |
9 |
58 |
21 |
16 |
35 |
20 |
38 |
11180 |
|
|
H7 |
B1 |
H2 |
C5 |
B8 |
E3 |
C4 |
E6 |
|
|
|
|
|
24 |
9 |
58 |
62 |
39 |
35 |
20 |
13 |
11180 |
|
|
C8 |
B1 |
H2 |
H6 |
E7 |
E3 |
C4 |
B5 |
|
|
|
|
|
|
|
|
|
|
|
|
41 |
17 |
31 |
39 |
62 |
6 |
12 |
52 |
11180 |
11180 |
|
F1 |
C1 |
D7 |
E7 |
H6 |
A6 |
B4 |
G4 |
|
|
|
|
|
38 |
17 |
31 |
44 |
49 |
6 |
12 |
63 |
11180 |
11180 |
|
E6 |
C1 |
D7 |
F4 |
G1 |
A6 |
B4 |
H7 |
|
|
|
|
|
24 |
59 |
12 |
62 |
39 |
17 |
34 |
13 |
11180 |
|
|
C8 |
H3 |
B4 |
H6 |
E7 |
C1 |
E2 |
B5 |
|
|
|
|
|
63 |
59 |
12 |
21 |
16 |
17 |
34 |
38 |
11180 |
|
|
H7 |
H3 |
B4 |
C5 |
B8 |
C1 |
E2 |
E6 |
|
|
|
|
|
|
|
|
|
|
|
|
55 |
15 |
1 |
57 |
36 |
28 |
22 |
46 |
11180 |
11180 |
|
G7 |
B7 |
A1 |
H1 |
E4 |
D4 |
C6 |
F6 |
|
|
|
|
|
55 |
15 |
1 |
57 |
36 |
28 |
22 |
46 |
11180 |
11180 |
|
G7 |
B7 |
A1 |
H1 |
E4 |
D4 |
C6 |
F6 |
|
|
|
|
|
36 |
37 |
22 |
10 |
19 |
15 |
64 |
57 |
11180 |
|
|
E4 |
E5 |
C6 |
B2 |
C3 |
B7 |
H8 |
H1 |
|
|
|
|
|
36 |
37 |
22 |
10 |
19 |
15 |
64 |
57 |
11180 |
|
|
E4 |
E5 |
C6 |
B2 |
C3 |
B7 |
H8 |
H1 |
|
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
|
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
|
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
C2 |
G8 |
G5 |
C3 |
F7 |
B1 |
B4 |
F6 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
C2 |
G8 |
G5 |
C3 |
F7 |
B1 |
B4 |
F6 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
|
|
A5 |
D6 |
D7 |
A8 |
H4 |
E3 |
E2 |
H1 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
|
|
A5 |
D6 |
D7 |
A8 |
H4 |
E3 |
E2 |
H1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
G7 |
C1 |
C4 |
G6 |
B2 |
F8 |
F5 |
B3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
G7 |
C1 |
C4 |
G6 |
B2 |
F8 |
F5 |
B3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E4 |
H3 |
H2 |
E1 |
D5 |
A6 |
A7 |
D8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E4 |
H3 |
H2 |
E1 |
D5 |
A6 |
A7 |
D8 |
|
|
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|
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|
|
|
|
|
Modern Bimagic Square n8:12.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:12.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:12.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:12.2b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:12.1a |
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MS Matrix n8:12.1b |
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Modern Bimagic Square n8:12.2a |
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MS Matrix n8:12.2b |
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18 |
42 |
40 |
32 |
11 |
51 |
61 |
5 |
260 |
11180 |
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C2 |
F2 |
E8 |
D8 |
B3 |
G3 |
H5 |
A5 |
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18 |
42 |
40 |
32 |
11 |
51 |
61 |
5 |
260 |
11180 |
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C2 |
F2 |
E8 |
D8 |
B3 |
G3 |
H5 |
A5 |
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0 |
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0 |
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16 |
56 |
58 |
2 |
21 |
45 |
35 |
27 |
260 |
11180 |
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B8 |
G8 |
H2 |
A2 |
C5 |
F5 |
E3 |
D3 |
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3 |
56 |
58 |
13 |
26 |
45 |
35 |
24 |
260 |
11180 |
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A3 |
G8 |
H2 |
B5 |
D2 |
F5 |
E3 |
C8 |
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0 |
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0 |
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3 |
59 |
53 |
13 |
26 |
34 |
48 |
24 |
260 |
11180 |
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A3 |
H3 |
G5 |
B5 |
D2 |
E2 |
F8 |
C8 |
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16 |
59 |
53 |
2 |
21 |
34 |
48 |
27 |
260 |
11180 |
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B8 |
H3 |
G5 |
A2 |
C5 |
E2 |
F8 |
D3 |
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0 |
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0 |
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29 |
37 |
43 |
19 |
8 |
64 |
50 |
10 |
260 |
11180 |
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D5 |
E5 |
F3 |
C3 |
A8 |
H8 |
G2 |
B2 |
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29 |
37 |
43 |
19 |
8 |
64 |
50 |
10 |
260 |
11180 |
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D5 |
E5 |
F3 |
C3 |
A8 |
H8 |
G2 |
B2 |
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0 |
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0 |
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55 |
15 |
1 |
57 |
46 |
22 |
28 |
36 |
260 |
11180 |
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G7 |
B7 |
A1 |
H1 |
F6 |
C6 |
D4 |
E4 |
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55 |
15 |
1 |
57 |
46 |
22 |
28 |
36 |
260 |
11180 |
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G7 |
B7 |
A1 |
H1 |
F6 |
C6 |
D4 |
E4 |
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0 |
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0 |
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41 |
17 |
31 |
39 |
52 |
12 |
6 |
62 |
260 |
11180 |
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F1 |
C1 |
D7 |
E7 |
G4 |
B4 |
A6 |
H6 |
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38 |
17 |
31 |
44 |
63 |
12 |
6 |
49 |
260 |
11180 |
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E6 |
C1 |
D7 |
F4 |
H7 |
B4 |
A6 |
G1 |
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0 |
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0 |
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38 |
30 |
20 |
44 |
63 |
7 |
9 |
49 |
260 |
11180 |
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E6 |
D6 |
C4 |
F4 |
H7 |
A7 |
B1 |
G1 |
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41 |
30 |
20 |
39 |
52 |
7 |
9 |
62 |
260 |
11180 |
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F1 |
D6 |
C4 |
E7 |
G4 |
A7 |
B1 |
H6 |
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0 |
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0 |
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60 |
4 |
14 |
54 |
33 |
25 |
23 |
47 |
260 |
11180 |
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H4 |
A4 |
B6 |
G6 |
E1 |
D1 |
C7 |
F7 |
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60 |
4 |
14 |
54 |
33 |
25 |
23 |
47 |
260 |
11180 |
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H4 |
A4 |
B6 |
G6 |
E1 |
D1 |
C7 |
F7 |
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0 |
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0 |
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11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
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Diagonal 6 |
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11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
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Diagonal 6 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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Diagonal 6 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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Diagonal 6 |
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11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
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C2 |
G8 |
G5 |
C3 |
F6 |
B4 |
B1 |
F7 |
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11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
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C2 |
G8 |
G5 |
C3 |
F6 |
B4 |
B1 |
F7 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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H4 |
D6 |
D7 |
H1 |
A8 |
E2 |
E3 |
A5 |
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H4 |
D6 |
D7 |
H1 |
A8 |
E2 |
E3 |
A5 |
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Modern Bimagic Square n8:13.1a |
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MS Matrix n8:13.1b |
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Modern Bimagic Square n8:13.2a |
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MS Matrix n8:13.2b |
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Modern Bimagic Square n8:13.1a |
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MS Matrix n8:13.1b |
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Modern Bimagic Square n8:13.2a |
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MS Matrix n8:13.2b |
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10 |
22 |
40 |
60 |
33 |
61 |
15 |
19 |
11180 |
11180 |
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B2 |
C6 |
E8 |
H4 |
E1 |
H5 |
B7 |
C3 |
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10 |
22 |
40 |
60 |
19 |
15 |
61 |
33 |
260 |
11180 |
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B2 |
C6 |
E8 |
H4 |
C3 |
B7 |
H5 |
E1 |
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0 |
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0 |
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52 |
48 |
30 |
2 |
27 |
7 |
53 |
41 |
11180 |
11180 |
|
G4 |
F8 |
D6 |
A2 |
D3 |
A7 |
G5 |
F1 |
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52 |
48 |
30 |
2 |
41 |
53 |
7 |
27 |
260 |
11180 |
|
G4 |
F8 |
D6 |
A2 |
F1 |
G5 |
A7 |
D3 |
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0 |
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0 |
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3 |
31 |
45 |
49 |
44 |
56 |
6 |
26 |
11180 |
11180 |
|
A3 |
D7 |
F5 |
G1 |
F4 |
G8 |
A6 |
D2 |
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3 |
31 |
45 |
49 |
26 |
6 |
56 |
44 |
260 |
11180 |
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A3 |
D7 |
F5 |
G1 |
D2 |
A6 |
G8 |
F4 |
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0 |
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0 |
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57 |
37 |
23 |
11 |
18 |
14 |
64 |
36 |
11180 |
11180 |
|
H1 |
E5 |
C7 |
B3 |
C2 |
B6 |
H8 |
E4 |
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57 |
37 |
23 |
11 |
36 |
64 |
14 |
18 |
260 |
11180 |
|
H1 |
E5 |
C7 |
B3 |
E4 |
H8 |
B6 |
C2 |
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0 |
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0 |
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32 |
4 |
50 |
46 |
55 |
43 |
25 |
5 |
11180 |
11180 |
|
D8 |
A4 |
G2 |
F6 |
G7 |
F3 |
D1 |
A5 |
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47 |
51 |
1 |
29 |
54 |
42 |
28 |
8 |
260 |
11180 |
|
F7 |
G3 |
A1 |
D5 |
G6 |
F2 |
D4 |
A8 |
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0 |
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0 |
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38 |
58 |
12 |
24 |
13 |
17 |
35 |
63 |
11180 |
11180 |
|
E6 |
H2 |
B4 |
C8 |
B5 |
C1 |
E3 |
H7 |
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21 |
9 |
59 |
39 |
16 |
20 |
34 |
62 |
260 |
11180 |
|
C5 |
B1 |
H3 |
E7 |
B8 |
C4 |
E2 |
H6 |
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0 |
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0 |
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21 |
9 |
59 |
39 |
62 |
34 |
20 |
16 |
11180 |
11180 |
|
C5 |
B1 |
H3 |
E7 |
H6 |
E2 |
C4 |
B8 |
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38 |
58 |
12 |
24 |
63 |
35 |
17 |
13 |
260 |
11180 |
|
E6 |
H2 |
B4 |
C8 |
H7 |
E3 |
C1 |
B5 |
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0 |
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0 |
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47 |
51 |
1 |
29 |
8 |
28 |
42 |
54 |
11180 |
11180 |
|
F7 |
G3 |
A1 |
D5 |
A8 |
D4 |
F2 |
G6 |
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32 |
4 |
50 |
46 |
5 |
25 |
43 |
55 |
260 |
11180 |
|
D8 |
A4 |
G2 |
F6 |
A5 |
D1 |
F3 |
G7 |
|
|
|
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|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
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0 |
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|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
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|
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|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
|
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|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
Diagonal 6 |
|
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|
|
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|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
Diagonal 6 |
|
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|
|
|
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|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
B2 |
F8 |
F5 |
B3 |
G7 |
C1 |
C4 |
G6 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
B2 |
F8 |
F5 |
B3 |
G6 |
C4 |
C1 |
G7 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
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|
F7 |
B1 |
B4 |
F6 |
C2 |
G8 |
G5 |
C3 |
|
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|
D8 |
H2 |
H3 |
D5 |
E4 |
A6 |
A7 |
E1 |
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|
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|
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|
|
|
|
|
|
|
|
Modern Bimagic Square n8:14.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:14.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:14.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:14.2b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:14.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:14.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:14.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:14.2b |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
25 |
4 |
32 |
46 |
50 |
43 |
55 |
260 |
11180 |
|
A5 |
D1 |
A4 |
D8 |
F6 |
G2 |
F3 |
G7 |
|
|
|
|
|
5 |
25 |
4 |
32 |
55 |
43 |
50 |
46 |
260 |
11180 |
|
A5 |
D1 |
A4 |
D8 |
G7 |
F3 |
G2 |
F6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
63 |
35 |
58 |
38 |
24 |
12 |
17 |
13 |
260 |
11180 |
|
H7 |
E3 |
H2 |
E6 |
C8 |
B4 |
C1 |
B5 |
|
|
|
|
|
63 |
35 |
58 |
38 |
13 |
17 |
12 |
24 |
260 |
11180 |
|
H7 |
E3 |
H2 |
E6 |
B5 |
C1 |
B4 |
C8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
26 |
6 |
31 |
3 |
49 |
45 |
56 |
44 |
260 |
11180 |
|
D2 |
A6 |
D7 |
A3 |
G1 |
F5 |
G8 |
F4 |
|
|
|
|
|
26 |
6 |
31 |
3 |
44 |
56 |
45 |
49 |
260 |
11180 |
|
D2 |
A6 |
D7 |
A3 |
F4 |
G8 |
F5 |
G1 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
36 |
64 |
37 |
57 |
11 |
23 |
14 |
18 |
260 |
11180 |
|
E4 |
H8 |
E5 |
H1 |
B3 |
C7 |
B6 |
C2 |
|
|
|
|
|
36 |
64 |
37 |
57 |
18 |
14 |
23 |
11 |
260 |
11180 |
|
E4 |
H8 |
E5 |
H1 |
C2 |
B6 |
C7 |
B3 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
19 |
15 |
22 |
10 |
60 |
40 |
61 |
33 |
260 |
11180 |
|
C3 |
B7 |
C6 |
B2 |
H4 |
E8 |
H5 |
E1 |
|
|
|
|
|
54 |
42 |
51 |
47 |
8 |
28 |
1 |
29 |
260 |
11180 |
|
G6 |
F2 |
G3 |
F7 |
A8 |
D4 |
A1 |
D5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
41 |
53 |
48 |
52 |
2 |
30 |
7 |
27 |
260 |
11180 |
|
F1 |
G5 |
F8 |
G4 |
A2 |
D6 |
A7 |
D3 |
|
|
|
|
|
16 |
20 |
9 |
21 |
62 |
34 |
59 |
39 |
260 |
11180 |
|
B8 |
C4 |
B1 |
C5 |
H6 |
E2 |
H3 |
E7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
16 |
20 |
9 |
21 |
39 |
59 |
34 |
62 |
260 |
11180 |
|
B8 |
C4 |
B1 |
C5 |
E7 |
H3 |
E2 |
H6 |
|
|
|
|
|
41 |
53 |
48 |
52 |
27 |
7 |
30 |
2 |
260 |
11180 |
|
F1 |
G5 |
F8 |
G4 |
D3 |
A7 |
D6 |
A2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
54 |
42 |
51 |
47 |
29 |
1 |
28 |
8 |
260 |
11180 |
|
G6 |
F2 |
G3 |
F7 |
D5 |
A1 |
D4 |
A8 |
|
|
|
|
|
19 |
15 |
22 |
10 |
33 |
61 |
40 |
60 |
260 |
11180 |
|
C3 |
B7 |
C6 |
B2 |
E1 |
H5 |
E8 |
H4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
E3 |
D7 |
H1 |
H4 |
D6 |
E2 |
A8 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
A5 |
E3 |
D7 |
H1 |
A8 |
E2 |
D6 |
H4 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
G6 |
C4 |
F8 |
B2 |
B3 |
F5 |
C1 |
G7 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
C3 |
G5 |
B1 |
F7 |
C2 |
G8 |
B4 |
F6 |
|
|
|
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|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:15.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:15.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:15.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:15.2b |
|
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|
|
|
|
|
|
|
|
|
|
|
|
19 |
15 |
40 |
60 |
33 |
61 |
22 |
10 |
11180 |
11180 |
|
C3 |
B7 |
E8 |
H4 |
E1 |
H5 |
C6 |
B2 |
|
|
|
|
|
19 |
15 |
40 |
60 |
10 |
22 |
61 |
33 |
260 |
11180 |
|
C3 |
B7 |
E8 |
H4 |
B2 |
C6 |
H5 |
E1 |
|
|
|
|
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44 |
56 |
31 |
3 |
26 |
6 |
45 |
49 |
11180 |
11180 |
|
F4 |
G8 |
D7 |
A3 |
D2 |
A6 |
F5 |
G1 |
|
|
|
|
|
44 |
56 |
31 |
3 |
49 |
45 |
6 |
26 |
260 |
11180 |
|
F4 |
G8 |
D7 |
A3 |
G1 |
F5 |
A6 |
D2 |
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2 |
30 |
53 |
41 |
52 |
48 |
7 |
27 |
11180 |
11180 |
|
A2 |
D6 |
G5 |
F1 |
G4 |
F8 |
A7 |
D3 |
|
|
|
|
|
2 |
30 |
53 |
41 |
27 |
7 |
48 |
52 |
260 |
11180 |
|
A2 |
D6 |
G5 |
F1 |
D3 |
A7 |
F8 |
G4 |
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57 |
37 |
14 |
18 |
11 |
23 |
64 |
36 |
11180 |
11180 |
|
H1 |
E5 |
B6 |
C2 |
B3 |
C7 |
H8 |
E4 |
|
|
|
|
|
57 |
37 |
14 |
18 |
36 |
64 |
23 |
11 |
260 |
11180 |
|
H1 |
E5 |
B6 |
C2 |
E4 |
H8 |
C7 |
B3 |
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32 |
4 |
43 |
55 |
46 |
50 |
25 |
5 |
11180 |
11180 |
|
D8 |
A4 |
F3 |
G7 |
F6 |
G2 |
D1 |
A5 |
|
|
|
|
|
54 |
42 |
1 |
29 |
47 |
51 |
28 |
8 |
260 |
11180 |
|
G6 |
F2 |
A1 |
D5 |
F7 |
G3 |
D4 |
A8 |
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39 |
59 |
20 |
16 |
21 |
9 |
34 |
62 |
11180 |
11180 |
|
E7 |
H3 |
C4 |
B8 |
C5 |
B1 |
E2 |
H6 |
|
|
|
|
|
13 |
17 |
58 |
38 |
24 |
12 |
35 |
63 |
260 |
11180 |
|
B5 |
C1 |
H2 |
E6 |
C8 |
B4 |
E3 |
H7 |
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13 |
17 |
58 |
38 |
63 |
35 |
12 |
24 |
11180 |
11180 |
|
B5 |
C1 |
H2 |
E6 |
H7 |
E3 |
B4 |
C8 |
|
|
|
|
|
39 |
59 |
20 |
16 |
62 |
34 |
9 |
21 |
260 |
11180 |
|
E7 |
H3 |
C4 |
B8 |
H6 |
E2 |
B1 |
C5 |
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54 |
42 |
1 |
29 |
8 |
28 |
51 |
47 |
11180 |
11180 |
|
G6 |
F2 |
A1 |
D5 |
A8 |
D4 |
G3 |
F7 |
|
|
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|
|
32 |
4 |
43 |
55 |
5 |
25 |
50 |
46 |
260 |
11180 |
|
D8 |
A4 |
F3 |
G7 |
A5 |
D1 |
G2 |
F6 |
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
C3 |
G8 |
G5 |
C2 |
F6 |
B1 |
B4 |
F7 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
C3 |
G8 |
G5 |
C2 |
F7 |
B4 |
B1 |
F6 |
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G6 |
C1 |
C4 |
G7 |
B3 |
F8 |
F5 |
B2 |
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D8 |
H3 |
H2 |
D5 |
E4 |
A7 |
A6 |
E1 |
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|
Modern Bimagic Square n8:16.1a |
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|
MS Matrix n8:16.1b |
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|
Modern Bimagic Square n8:16.2a |
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|
MS Matrix n8:16.2b |
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|
|
34 |
16 |
3 |
45 |
56 |
26 |
21 |
59 |
11180 |
11180 |
|
E2 |
B8 |
A3 |
F5 |
G8 |
D2 |
C5 |
H3 |
|
|
|
|
|
34 |
16 |
3 |
45 |
59 |
21 |
26 |
56 |
11180 |
11180 |
|
E2 |
B8 |
A3 |
F5 |
H3 |
C5 |
D2 |
G8 |
|
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|
22 |
60 |
55 |
25 |
4 |
46 |
33 |
15 |
11180 |
11180 |
|
C6 |
H4 |
G7 |
D1 |
A4 |
F6 |
E1 |
B7 |
|
|
|
|
|
22 |
60 |
55 |
25 |
15 |
33 |
46 |
4 |
11180 |
11180 |
|
C6 |
H4 |
G7 |
D1 |
B7 |
E1 |
F6 |
A4 |
|
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|
|
28 |
54 |
57 |
23 |
14 |
36 |
47 |
1 |
11180 |
11180 |
|
D4 |
G6 |
H1 |
C7 |
B6 |
E4 |
F7 |
A1 |
|
|
|
|
|
28 |
54 |
57 |
23 |
1 |
47 |
36 |
14 |
11180 |
11180 |
|
D4 |
G6 |
H1 |
C7 |
A1 |
F7 |
E4 |
B6 |
|
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|
|
48 |
2 |
13 |
35 |
58 |
24 |
27 |
53 |
11180 |
11180 |
|
F8 |
A2 |
B5 |
E3 |
H2 |
C8 |
D3 |
G5 |
|
|
|
|
|
48 |
2 |
13 |
35 |
53 |
27 |
24 |
58 |
11180 |
11180 |
|
F8 |
A2 |
B5 |
E3 |
G5 |
D3 |
C8 |
H2 |
|
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|
|
9 |
39 |
44 |
6 |
31 |
49 |
62 |
20 |
11180 |
11180 |
|
B1 |
E7 |
F4 |
A6 |
D7 |
G1 |
H6 |
C4 |
|
|
|
|
|
7 |
41 |
38 |
12 |
30 |
52 |
63 |
17 |
11180 |
11180 |
|
A7 |
F1 |
E6 |
B4 |
D6 |
G4 |
H7 |
C1 |
|
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|
|
|
|
|
|
61 |
19 |
32 |
50 |
43 |
5 |
10 |
40 |
11180 |
11180 |
|
H5 |
C3 |
D8 |
G2 |
F3 |
A5 |
B2 |
E8 |
|
|
|
|
|
51 |
29 |
18 |
64 |
42 |
8 |
11 |
37 |
11180 |
11180 |
|
G3 |
D5 |
C2 |
H8 |
F2 |
A8 |
B3 |
E5 |
|
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|
51 |
29 |
18 |
64 |
37 |
11 |
8 |
42 |
11180 |
11180 |
|
G3 |
D5 |
C2 |
H8 |
E5 |
B3 |
A8 |
F2 |
|
|
|
|
|
61 |
19 |
32 |
50 |
40 |
10 |
5 |
43 |
11180 |
11180 |
|
H5 |
C3 |
D8 |
G2 |
E8 |
B2 |
A5 |
F3 |
|
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|
7 |
41 |
38 |
12 |
17 |
63 |
52 |
30 |
11180 |
11180 |
|
A7 |
F1 |
E6 |
B4 |
C1 |
H7 |
G4 |
D6 |
|
|
|
|
|
9 |
39 |
44 |
6 |
20 |
62 |
49 |
31 |
11180 |
11180 |
|
B1 |
E7 |
F4 |
A6 |
C4 |
H6 |
G1 |
D7 |
|
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|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
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|
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|
|
|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
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|
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|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
E2 |
H4 |
H1 |
E3 |
D7 |
A5 |
A8 |
D6 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
E2 |
H4 |
H1 |
E3 |
D6 |
A8 |
A5 |
D7 |
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A7 |
D5 |
D8 |
A6 |
H2 |
E4 |
E1 |
H3 |
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B1 |
C3 |
C2 |
B4 |
G5 |
F7 |
F6 |
G8 |
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Modern Bimagic Square n8:17.1a |
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MS Matrix n8:17.1b |
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Modern Bimagic Square n8:17.2a |
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MS Matrix n8:17.2b |
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34 |
22 |
28 |
48 |
9 |
61 |
51 |
7 |
11180 |
11180 |
|
E2 |
C6 |
D4 |
F8 |
B1 |
H5 |
G3 |
A7 |
|
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|
|
34 |
22 |
28 |
48 |
7 |
51 |
61 |
9 |
260 |
11180 |
|
E2 |
C6 |
D4 |
F8 |
A7 |
G3 |
H5 |
B1 |
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16 |
60 |
54 |
2 |
39 |
19 |
29 |
41 |
11180 |
11180 |
|
B8 |
H4 |
G6 |
A2 |
E7 |
C3 |
D5 |
F1 |
|
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|
16 |
60 |
54 |
2 |
41 |
29 |
19 |
39 |
260 |
11180 |
|
B8 |
H4 |
G6 |
A2 |
F1 |
D5 |
C3 |
E7 |
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3 |
55 |
57 |
13 |
44 |
32 |
18 |
38 |
11180 |
11180 |
|
A3 |
G7 |
H1 |
B5 |
F4 |
D8 |
C2 |
E6 |
|
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|
|
3 |
55 |
57 |
13 |
38 |
18 |
32 |
44 |
260 |
11180 |
|
A3 |
G7 |
H1 |
B5 |
E6 |
C2 |
D8 |
F4 |
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45 |
25 |
23 |
35 |
6 |
50 |
64 |
12 |
11180 |
11180 |
|
F5 |
D1 |
C7 |
E3 |
A6 |
G2 |
H8 |
B4 |
|
|
|
|
|
45 |
25 |
23 |
35 |
12 |
64 |
50 |
6 |
260 |
11180 |
|
F5 |
D1 |
C7 |
E3 |
B4 |
H8 |
G2 |
A6 |
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56 |
4 |
14 |
58 |
31 |
43 |
37 |
17 |
11180 |
11180 |
|
G8 |
A4 |
B6 |
H2 |
D7 |
F3 |
E5 |
C1 |
|
|
|
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|
59 |
15 |
1 |
53 |
30 |
42 |
40 |
20 |
260 |
11180 |
|
H3 |
B7 |
A1 |
G5 |
D6 |
F2 |
E8 |
C4 |
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26 |
46 |
36 |
24 |
49 |
5 |
11 |
63 |
11180 |
11180 |
|
D2 |
F6 |
E4 |
C8 |
G1 |
A5 |
B3 |
H7 |
|
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|
21 |
33 |
47 |
27 |
52 |
8 |
10 |
62 |
260 |
11180 |
|
C5 |
E1 |
F7 |
D3 |
G4 |
A8 |
B2 |
H6 |
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21 |
33 |
47 |
27 |
62 |
10 |
8 |
52 |
11180 |
11180 |
|
C5 |
E1 |
F7 |
D3 |
H6 |
B2 |
A8 |
G4 |
|
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|
26 |
46 |
36 |
24 |
63 |
11 |
5 |
49 |
260 |
11180 |
|
D2 |
F6 |
E4 |
C8 |
H7 |
B3 |
A5 |
G1 |
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59 |
15 |
1 |
53 |
20 |
40 |
42 |
30 |
11180 |
11180 |
|
H3 |
B7 |
A1 |
G5 |
C4 |
E8 |
F2 |
D6 |
|
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|
56 |
4 |
14 |
58 |
17 |
37 |
43 |
31 |
260 |
11180 |
|
G8 |
A4 |
B6 |
H2 |
C1 |
E5 |
F3 |
D7 |
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11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
E2 |
H4 |
H1 |
E3 |
D7 |
A5 |
A8 |
D6 |
|
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|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
E2 |
H4 |
H1 |
E3 |
D6 |
A8 |
A5 |
D7 |
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H3 |
E1 |
E4 |
H2 |
A6 |
D8 |
D5 |
A7 |
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G8 |
F6 |
F7 |
G5 |
B4 |
C2 |
C3 |
B1 |
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Modern Bimagic Square n8:18.1a |
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MS Matrix n8:18.1b |
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Modern Bimagic Square n8:18.2a |
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MS Matrix n8:18.2b |
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10 |
50 |
40 |
32 |
5 |
61 |
43 |
19 |
11180 |
11180 |
|
B2 |
G2 |
E8 |
D8 |
A5 |
H5 |
F3 |
C3 |
|
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|
10 |
50 |
40 |
32 |
19 |
43 |
61 |
5 |
260 |
11180 |
|
B2 |
G2 |
E8 |
D8 |
C3 |
F3 |
H5 |
A5 |
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24 |
48 |
58 |
2 |
27 |
35 |
53 |
13 |
11180 |
11180 |
|
C8 |
F8 |
H2 |
A2 |
D3 |
E3 |
G5 |
B5 |
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24 |
48 |
58 |
2 |
13 |
53 |
35 |
27 |
260 |
11180 |
|
C8 |
F8 |
H2 |
A2 |
B5 |
G5 |
E3 |
D3 |
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3 |
59 |
45 |
21 |
16 |
56 |
34 |
26 |
11180 |
11180 |
|
A3 |
H3 |
F5 |
C5 |
B8 |
G8 |
E2 |
D2 |
|
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|
3 |
59 |
45 |
21 |
26 |
34 |
56 |
16 |
260 |
11180 |
|
A3 |
H3 |
F5 |
C5 |
D2 |
E2 |
G8 |
B8 |
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29 |
37 |
51 |
11 |
18 |
42 |
64 |
8 |
11180 |
11180 |
|
D5 |
E5 |
G3 |
B3 |
C2 |
F2 |
H8 |
A8 |
|
|
|
|
|
29 |
37 |
51 |
11 |
8 |
64 |
42 |
18 |
260 |
11180 |
|
D5 |
E5 |
G3 |
B3 |
A8 |
H8 |
F2 |
C2 |
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60 |
4 |
22 |
46 |
55 |
15 |
25 |
33 |
11180 |
11180 |
|
H4 |
A4 |
C6 |
F6 |
G7 |
B7 |
D1 |
E1 |
|
|
|
|
|
47 |
23 |
1 |
57 |
54 |
14 |
28 |
36 |
260 |
11180 |
|
F7 |
C7 |
A1 |
H1 |
G6 |
B6 |
D4 |
E4 |
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38 |
30 |
12 |
52 |
41 |
17 |
7 |
63 |
11180 |
11180 |
|
E6 |
D6 |
B4 |
G4 |
F1 |
C1 |
A7 |
H7 |
|
|
|
|
|
49 |
9 |
31 |
39 |
44 |
20 |
6 |
62 |
260 |
11180 |
|
G1 |
B1 |
D7 |
E7 |
F4 |
C4 |
A6 |
H6 |
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49 |
9 |
31 |
39 |
62 |
6 |
20 |
44 |
11180 |
11180 |
|
G1 |
B1 |
D7 |
E7 |
H6 |
A6 |
C4 |
F4 |
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|
38 |
30 |
12 |
52 |
63 |
7 |
17 |
41 |
260 |
11180 |
|
E6 |
D6 |
B4 |
G4 |
H7 |
A7 |
C1 |
F1 |
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47 |
23 |
1 |
57 |
36 |
28 |
14 |
54 |
11180 |
11180 |
|
F7 |
C7 |
A1 |
H1 |
E4 |
D4 |
B6 |
G6 |
|
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|
60 |
4 |
22 |
46 |
33 |
25 |
15 |
55 |
260 |
11180 |
|
H4 |
A4 |
C6 |
F6 |
E1 |
D1 |
B7 |
G7 |
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
B2 |
F8 |
F5 |
B3 |
G7 |
C1 |
C4 |
G6 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
B2 |
F8 |
F5 |
B3 |
G6 |
C4 |
C1 |
G7 |
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F7 |
B1 |
B4 |
F6 |
C2 |
G8 |
G5 |
C3 |
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H4 |
D6 |
D7 |
H1 |
A8 |
E2 |
E3 |
A5 |
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|
Modern Bimagic Square n8:19.1a |
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|
MS Matrix n8:19.1b |
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|
Modern Bimagic Square n8:19.2a |
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MS Matrix n8:19.2b |
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|
|
35 |
23 |
28 |
48 |
9 |
61 |
50 |
6 |
11180 |
11180 |
|
E3 |
C7 |
D4 |
F8 |
B1 |
H5 |
G2 |
A6 |
|
|
|
|
|
35 |
23 |
28 |
48 |
9 |
61 |
50 |
6 |
260 |
11180 |
|
E3 |
C7 |
D4 |
F8 |
B1 |
H5 |
G2 |
A6 |
|
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|
|
16 |
60 |
55 |
3 |
38 |
18 |
29 |
41 |
11180 |
11180 |
|
B8 |
H4 |
G7 |
A3 |
E6 |
C2 |
D5 |
F1 |
|
|
|
|
|
3 |
60 |
55 |
16 |
41 |
18 |
29 |
38 |
260 |
11180 |
|
A3 |
H4 |
G7 |
B8 |
F1 |
C2 |
D5 |
E6 |
|
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|
|
2 |
54 |
57 |
13 |
44 |
32 |
19 |
39 |
11180 |
11180 |
|
A2 |
G6 |
H1 |
B5 |
F4 |
D8 |
C3 |
E7 |
|
|
|
|
|
13 |
54 |
57 |
2 |
39 |
32 |
19 |
44 |
260 |
11180 |
|
B5 |
G6 |
H1 |
A2 |
E7 |
D8 |
C3 |
F4 |
|
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|
|
|
45 |
25 |
22 |
34 |
7 |
51 |
64 |
12 |
11180 |
11180 |
|
F5 |
D1 |
C6 |
E2 |
A7 |
G3 |
H8 |
B4 |
|
|
|
|
|
45 |
25 |
22 |
34 |
7 |
51 |
64 |
12 |
260 |
11180 |
|
F5 |
D1 |
C6 |
E2 |
A7 |
G3 |
H8 |
B4 |
|
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|
|
|
56 |
4 |
15 |
59 |
30 |
42 |
37 |
17 |
11180 |
11180 |
|
G8 |
A4 |
B7 |
H3 |
D6 |
F2 |
E5 |
C1 |
|
|
|
|
|
56 |
4 |
15 |
59 |
30 |
42 |
37 |
17 |
260 |
11180 |
|
G8 |
A4 |
B7 |
H3 |
D6 |
F2 |
E5 |
C1 |
|
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|
|
27 |
47 |
36 |
24 |
49 |
5 |
10 |
62 |
11180 |
11180 |
|
D3 |
F7 |
E4 |
C8 |
G1 |
A5 |
B2 |
H6 |
|
|
|
|
|
24 |
47 |
36 |
27 |
62 |
5 |
10 |
49 |
260 |
11180 |
|
C8 |
F7 |
E4 |
D3 |
H6 |
A5 |
B2 |
G1 |
|
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|
21 |
33 |
46 |
26 |
63 |
11 |
8 |
52 |
11180 |
11180 |
|
C5 |
E1 |
F6 |
D2 |
H7 |
B3 |
A8 |
G4 |
|
|
|
|
|
26 |
33 |
46 |
21 |
52 |
11 |
8 |
63 |
260 |
11180 |
|
D2 |
E1 |
F6 |
C5 |
G4 |
B3 |
A8 |
H7 |
|
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|
58 |
14 |
1 |
53 |
20 |
40 |
43 |
31 |
11180 |
11180 |
|
H2 |
B6 |
A1 |
G5 |
C4 |
E8 |
F3 |
D7 |
|
|
|
|
|
58 |
14 |
1 |
53 |
20 |
40 |
43 |
31 |
260 |
11180 |
|
H2 |
B6 |
A1 |
G5 |
C4 |
E8 |
F3 |
D7 |
|
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
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|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
E3 |
H4 |
H1 |
E2 |
D6 |
A5 |
A8 |
D7 |
|
|
|
|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
E3 |
H4 |
H1 |
E2 |
D6 |
A5 |
A8 |
D7 |
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H2 |
E1 |
E4 |
H3 |
A7 |
D8 |
D5 |
A6 |
|
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|
H2 |
E1 |
E4 |
H3 |
A7 |
D8 |
D5 |
A6 |
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Modern Bimagic Square n8:20.1a |
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MS Matrix n8:20.1b |
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Modern Bimagic Square n8:20.2a |
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MS Matrix n8:20.2b |
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35 |
23 |
28 |
48 |
6 |
50 |
61 |
9 |
260 |
11180 |
|
E3 |
C7 |
D4 |
F8 |
A6 |
G2 |
H5 |
B1 |
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35 |
23 |
28 |
48 |
6 |
50 |
61 |
9 |
260 |
11180 |
|
E3 |
C7 |
D4 |
F8 |
A6 |
G2 |
H5 |
B1 |
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16 |
60 |
55 |
3 |
41 |
29 |
18 |
38 |
260 |
11180 |
|
B8 |
H4 |
G7 |
A3 |
F1 |
D5 |
C2 |
E6 |
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3 |
60 |
55 |
16 |
38 |
29 |
18 |
41 |
260 |
11180 |
|
A3 |
H4 |
G7 |
B8 |
E6 |
D5 |
C2 |
F1 |
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2 |
54 |
57 |
13 |
39 |
19 |
32 |
44 |
260 |
11180 |
|
A2 |
G6 |
H1 |
B5 |
E7 |
C3 |
D8 |
F4 |
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13 |
54 |
57 |
2 |
44 |
19 |
32 |
39 |
260 |
11180 |
|
B5 |
G6 |
H1 |
A2 |
F4 |
C3 |
D8 |
E7 |
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45 |
25 |
22 |
34 |
12 |
64 |
51 |
7 |
260 |
11180 |
|
F5 |
D1 |
C6 |
E2 |
B4 |
H8 |
G3 |
A7 |
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45 |
25 |
22 |
34 |
12 |
64 |
51 |
7 |
260 |
11180 |
|
F5 |
D1 |
C6 |
E2 |
B4 |
H8 |
G3 |
A7 |
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58 |
14 |
1 |
53 |
31 |
43 |
40 |
20 |
260 |
11180 |
|
H2 |
B6 |
A1 |
G5 |
D7 |
F3 |
E8 |
C4 |
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|
58 |
14 |
1 |
53 |
31 |
43 |
40 |
20 |
260 |
11180 |
|
H2 |
B6 |
A1 |
G5 |
D7 |
F3 |
E8 |
C4 |
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21 |
33 |
46 |
26 |
52 |
8 |
11 |
63 |
260 |
11180 |
|
C5 |
E1 |
F6 |
D2 |
G4 |
A8 |
B3 |
H7 |
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26 |
33 |
46 |
21 |
63 |
8 |
11 |
52 |
260 |
11180 |
|
D2 |
E1 |
F6 |
C5 |
H7 |
A8 |
B3 |
G4 |
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27 |
47 |
36 |
24 |
62 |
10 |
5 |
49 |
260 |
11180 |
|
D3 |
F7 |
E4 |
C8 |
H6 |
B2 |
A5 |
G1 |
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24 |
47 |
36 |
27 |
49 |
10 |
5 |
62 |
260 |
11180 |
|
C8 |
F7 |
E4 |
D3 |
G1 |
B2 |
A5 |
H6 |
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56 |
4 |
15 |
59 |
17 |
37 |
42 |
30 |
260 |
11180 |
|
G8 |
A4 |
B7 |
H3 |
C1 |
E5 |
F2 |
D6 |
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|
56 |
4 |
15 |
59 |
17 |
37 |
42 |
30 |
260 |
11180 |
|
G8 |
A4 |
B7 |
H3 |
C1 |
E5 |
F2 |
D6 |
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11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
Diagonal 6 |
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260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
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11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
E3 |
H4 |
H1 |
E2 |
D7 |
A8 |
A5 |
D6 |
|
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|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
E3 |
H4 |
H1 |
E2 |
D7 |
A8 |
A5 |
D6 |
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G8 |
F7 |
F6 |
G5 |
B4 |
C3 |
C2 |
B1 |
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|
G8 |
F7 |
F6 |
G5 |
B4 |
C3 |
C2 |
B1 |
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Modern Bimagic Square n8:21.1a |
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|
MS Matrix n8:21.1b |
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|
Modern Bimagic Square n8:21.2a |
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MS Matrix n8:21.2b |
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34 |
24 |
3 |
53 |
48 |
26 |
13 |
59 |
11180 |
11180 |
|
E2 |
C8 |
A3 |
G5 |
F8 |
D2 |
B5 |
H3 |
|
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0 |
0 |
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14 |
60 |
47 |
25 |
4 |
54 |
33 |
23 |
11180 |
11180 |
|
B6 |
H4 |
F7 |
D1 |
A4 |
G6 |
E1 |
C7 |
|
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0 |
0 |
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28 |
46 |
57 |
15 |
22 |
36 |
55 |
1 |
11180 |
11180 |
|
D4 |
F6 |
H1 |
B7 |
C6 |
E4 |
G7 |
A1 |
|
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0 |
0 |
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56 |
2 |
21 |
35 |
58 |
16 |
27 |
45 |
11180 |
11180 |
|
G8 |
A2 |
C5 |
E3 |
H2 |
B8 |
D3 |
F5 |
|
|
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0 |
0 |
|
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17 |
39 |
52 |
6 |
31 |
41 |
62 |
12 |
11180 |
11180 |
|
C1 |
E7 |
G4 |
A6 |
D7 |
F1 |
H6 |
B4 |
|
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0 |
0 |
|
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|
|
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|
|
|
61 |
11 |
32 |
42 |
51 |
5 |
18 |
40 |
11180 |
11180 |
|
H5 |
B3 |
D8 |
F2 |
G3 |
A5 |
C2 |
E8 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
|
|
|
|
|
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|
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|
|
|
43 |
29 |
10 |
64 |
37 |
19 |
8 |
50 |
11180 |
11180 |
|
F3 |
D5 |
B2 |
H8 |
E5 |
C3 |
A8 |
G2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
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|
7 |
49 |
38 |
20 |
9 |
63 |
44 |
30 |
11180 |
11180 |
|
A7 |
G1 |
E6 |
C4 |
B1 |
H7 |
F4 |
D6 |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
|
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|
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|
|
|
260 |
260 |
260 |
260 |
260 |
260 |
260 |
260 |
540800 |
540800 |
|
Diagonal 6 |
|
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|
|
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|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
Diagonal 6 |
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|
|
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
11180 |
540800 |
540800 |
|
E2 |
H4 |
H1 |
E3 |
D7 |
A5 |
A8 |
D6 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
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|
A7 |
D5 |
D8 |
A6 |
H2 |
E4 |
E1 |
H3 |
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:22.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:22.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:22.2a |
|
|
|
|
|
|
|
|
MS Matrix n8:22.2b |
|
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|
|
|
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|
|
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
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|
|
|
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|
|
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
11180 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
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|
|
|
|
|
|
|
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
|
|
|
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|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
|
|
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|
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|
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|
|
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|
|
|
|
|
|
|
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
|
|
|
|
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|
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|
|
|
|
|
|
|
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
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|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
Diagonal 6 |
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
Diagonal 6 |
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|
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|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
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|
|
|
|
|
|
|
Modern Bimagic Square n8:23.1a |
|
|
|
|
|
|
|
|
MS Matrix n8:23.1b |
|
|
|
|
|
|
|
|
|
|
|
Modern Bimagic Square n8:23.2a |
|
|
|
|
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|
|
|
MS Matrix n8:23.2b |
|
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0 |
0 |
|
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|
|
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|
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|
0 |
0 |
|
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|
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|
|
|
|
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|
|
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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0 |
0 |
|
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|
|
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0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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0 |
0 |
|
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|
|
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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0 |
0 |
|
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|
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|
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|
|
|
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|
|
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
|
|
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|
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|
0 |
0 |
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
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0 |
0 |
|
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0 |
0 |
|
|
|
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|
|
|
|
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|
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|
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|
|
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0 |
0 |
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0 |
0 |
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0 |
0 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
Diagonal 6 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
Diagonal 6 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
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|
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|
|
|
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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|
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|
Modern Bimagic Square n8:24.1a |
|
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|
|
MS Matrix n8:24.1b |
|
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|
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|
|
Modern Bimagic Square n8:24.2a |
|
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|
MS Matrix n8:24.2b |
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0 |
0 |
|
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0 |
0 |
|
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0 |
0 |
|
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0 |
0 |
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0 |
0 |
|
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|
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|
|
|
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0 |
0 |
|
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0 |
0 |
|
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|
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|
|
|
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|
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|
|
|
|
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0 |
0 |
|
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0 |
0 |
|
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|
|
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|
|
|
|
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|
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0 |
0 |
|
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0 |
0 |
|
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0 |
0 |
|
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0 |
0 |
|
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0 |
0 |
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0 |
0 |
|
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0 |
0 |
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|
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
Diagonal 6 |
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|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
Diagonal 6 |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
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|
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
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