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Delete Columns to Make Sorted

You are given an array of n strings strs, all of the same length.

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.

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.

Delete Columns to Make Sorted diagram

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.

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