Please solve the programming task below using a self-contained code snippet in a markdown code block.

You are given an array of n strings strs, all of the same length.
The strings can be arranged such that there is one on each line, making a grid.

For example, strs = ["abc", "bce", "cae"] can be arranged as follows:


abc
bce
cae

You want to delete the columns that are not sorted lexicographically. In the above example (0-indexed), columns 0 ('a', 'b', 'c') and 2 ('c', 'e', 'e') are sorted, while column 1 ('b', 'c', 'a') is not, so you would delete column 1.
Return the number of columns that you will delete.
 
Please complete the following python code precisely:
```python
class Solution:
    def minDeletionSize(self, strs: List[str]) -> int:
```