Using higest value in one column to determine next column value

My problem is I need a formula that will determine the previous columns highest value, then in the next column add 1 to any lower value, or become 1 if the highest value. For example,

A B C
1 2 3
3 4 5
4 5 1
2 3 4
5 1 2

Except that I have nearly 100 rows and 20 columns of data.

Thanks for any help!

Works like a charm. Thanks so much!