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A "matching problem"

Does this do what you want?
(using just three letters to keep the list of results short)
v V
1 a A
2 b A
3 c A
4 a B
5 b B
6 c B
7 a C
8 b C
9 c C
v V
2 b A
3 c A
4 a B
6 c B
7 a C
8 b C

-Don