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Google Sheets and baseball scheduling

Hi all,

I'm trying to create a Google Sheet that will automatically create Home/Away game matchups given some user-provided parameters:

Total teams: 8 (Lions, Tigers, Bears, ...). This number can vary.
Total games played per team: 10 (5 Home / 5 Away if possible. This number can vary.

I need the best possible diversity in terms of matchups.

I'm hoping the Google Sheet can kick out a simple columnar schedule like the following.

 User generated image
Can this be done without Javascript?

Thanks in advance.
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Allen Falcon
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