pd.cut non-uniform bin intervals

I have a dataframe like this:

    a   b
0   0   9
1   1   8
2   2   7
3   3   6
4   4   5
5   5   4
6   6   3
7   7   2
8   8   1
9   9   0
10  10  0
11  11  1
12  12  1

I wanted to use pd.cut() to separate column a in different subcategories according its value. In order to do that, It's necessary to get bins. It looks like we can set bins manually by using pd.IntervalIndex.

But how can I make intervals like: [0], (0,2], (2,4], (4,6], (6,8], (8,10], (10,)?

I don't know if this is the correct way to represent it, but there it is: a inteval with only zero - [0] and a interval with every value greater than 10 - (100,)