Min With No Duplicate

I have a spreadsheet with 7 golf teams (4 members each). For each hole, I want to award 1 point to the team with the lowest score, if and only if there is not a tie between two or more teams.

Example:

Team 1 - 7
Team 2 - 6
Team 3 - 5
Team 4 - 4

I would want to give team 1, one point, but if this were the case:

Team 1 - 7
Team 2 - 6
Team 3 - 5
Team 4 - 5

then nobody would receive a point. I came up with a barbaric way of using another row

=IF(MIN(C$9,C$24,C$36,C$50,C$61,C$75,C$86,C$100),1,0)

and then using an if statement: if the sum of all those above cells was greater than 1 then 0 and adding that, but I was wondering if there is a more efficient way?