"""
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:

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.



Example 1:

Input: strs = ["cba","daf","ghi"]
Output: 1
Explanation: The grid looks as follows:
  cba
  daf
  ghi
Columns 0 and 2 are sorted, but column 1 is not, so you only need to delete 1 column.

Example 2:

Input: strs = ["a","b"]
Output: 0
Explanation: The grid looks as follows:
  a
  b
Column 0 is the only column and is sorted, so you will not delete any columns.

Example 3:

Input: strs = ["zyx","wvu","tsr"]
Output: 3
Explanation: The grid looks as follows:
  zyx
  wvu
  tsr
All 3 columns are not sorted, so you will delete all 3.



Constraints:

    n == strs.length
    1 <= n <= 100
    1 <= strs[i].length <= 1000
    strs[i] consists of lowercase English letters.





"""

from typing import List


def get_columns(mat):
    return zip(*mat)


class Solution:
    def minDeletionSize(self, strs: List[str]) -> int:
        cnt = 0
        for c in get_columns(strs):
            if list(c) != sorted(c):
                cnt += 1
        return cnt

"""
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:

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.



Example 1:

Input: strs = ["cba","daf","ghi"]
Output: 1
Explanation: The grid looks as follows:
  cba
  daf
  ghi
Columns 0 and 2 are sorted, but column 1 is not, so you only need to delete 1 column.

Example 2:

Input: strs = ["a","b"]
Output: 0
Explanation: The grid looks as follows:
  a
  b
Column 0 is the only column and is sorted, so you will not delete any columns.

Example 3:

Input: strs = ["zyx","wvu","tsr"]
Output: 3
Explanation: The grid looks as follows:
  zyx
  wvu
  tsr
All 3 columns are not sorted, so you will delete all 3.



Constraints:

    n == strs.length
    1 <= n <= 100
    1 <= strs[i].length <= 1000
    strs[i] consists of lowercase English letters.





"""

from typing import List


def get_columns(mat):
    return zip(*mat)


class Solution:
    def minDeletionSize(self, strs: List[str]) -> int:
        cnt = 0
        for c in get_columns(strs):
            if list(c) != sorted(c):
                cnt += 1
        return cnt

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:  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.    Example 1:  Input: strs = ["cba","daf","ghi"] Output: 1 Explanation: The grid looks as follows:   cba   daf   ghi Columns 0 and 2 are sorted, but column 1 is not, so you only need to delete 1 column.  Example 2:  Input: strs = ["a","b"] Output: 0 Explanation: The grid looks as follows:   a   b Column 0 is the only column and is sorted, so you will not delete any columns.  Example 3:  Input: strs = ["zyx","wvu","tsr"] Output: 3 Explanation: The grid looks as follows:   zyx   wvu   tsr All 3 columns are not sorted, so you will delete all 3.    Constraints:      n == strs.length     1 <= n <= 100     1 <= strs[i].length <= 1000     strs[i] consists of lowercase English letters.