Algorithm


Problem Name: 944. Delete Columns to Make Sorted

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.

 

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.

Code Examples

#1 Code Example with Java Programming

Code - Java Programming


class Solution {
  public int minDeletionSize(String[] A) {
    int numRows = A.length;
    int numCols = A[0].length();
    int numDeletions = 0;
    for (int i = 0; i  <  numCols; i++) {
      for (int j = 1; j  <  numRows; j++) {
        if (A[j].charAt(i) < A[j - 1].charAt(i)) {
          numDeletions++;
          break;
        }
      }
    }
    return numDeletions;
  }
}
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Input

x
+
cmd
strs = ["a","b"]

#2 Code Example with Javascript Programming

Code - Javascript Programming


const minDeletionSize = function(A) {
  // increment this if we find a
  // column that is out of order
  let numColumnsToDelete = 0;

  // all strings in the array
  // are the same length
  const strLength = A[0].length;

  // outer loop checks entire string
  for (let i = 0; i  <  strLength; i++) {
    // inner loop checks the colunns
    for (let j = 0; j  <  A.length - 1; j++) {
       const top = A[j][i];
       const bottom = A[j + 1][i];

       if (top > bottom) {
          numColumnsToDelete++;
          break;
        }
      }
    }
    return numColumnsToDelete;
};
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Input

x
+
cmd
strs = ["a","b"]

#3 Code Example with Python Programming

Code - Python Programming


class Solution:
    def minDeletionSize(self, A):
        return sum(any(a[j] > b[j] for a, b in zip(A, A[1:])) for j in range(len(A[0])))
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Input

x
+
cmd
strs = ["zyx","wvu","tsr"]

Output

x
+
cmd
3

#4 Code Example with C# Programming

Code - C# Programming


namespace LeetCode
{
    public class _0944_DeleteColumnsToMakeSorted
    {
        public int MinDeletionSize(string[] A)
        {
            var row = A.Length;
            var col = A[0].Length;

            var count = 0;
            for (int i = 0; i  <  col; i++)
            {
                var current_ch = A[0][i];
                for (int j = 1; j  <  row; j++)
                {
                    var ch = A[j][i];
                    if (ch  <  current_ch)
                    {
                        count++;
                        break;
                    }
                    current_ch = ch;
                }
            }

            return count;
        }
    }
}
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Input

x
+
cmd
strs = ["zyx","wvu","tsr"]

Output

x
+
cmd
3
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