I have several category dummies that are mutually exclusive
id cat1 cat2 cat3
A 0 0 1
B 1 0 0
C 1 0 0
D 0 0 1
E 0 1 0
F 0 0 1
..
I want to create a new column that contains all categories
id cat1 cat2 cat3 type
A 0 0 1 cat3
B 1 0 0 cat1
C 1 0 0 cat1
D 0 0 1 cat3
E 0 1 0 cat2
F 0 0 1 cat3
..