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For n=2 one of best cyclic diagonal Latin squares of order 5
0 1 2 3 4
2 3 4 0 1
4 0 1 2 3
1 2 3 4 0
3 4 0 1 2
has a(2)=5 diagonal transversals:
0..... 1..... 2..... 3..... 4
..4..... 0..... 1 2..... 3...
....3 4..... 0..... 1..... 2.
.2..... 3..... 4..... 0 1....
...1..... 2 3..... 4..... 0..
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