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<p>You are given an array of <code>n</code> strings <code>strs</code>, all of the same length.</p>
<p>The strings can be arranged such that there is one on each line, making a grid. For example, <code>strs = [&quot;abc&quot;, &quot;bce&quot;, &quot;cae&quot;]</code> can be arranged as:</p>
<pre>
abc
bce
cae
</pre>
<p>You want to <strong>delete</strong> the columns that are <strong>not sorted lexicographically</strong>. In the above example (0-indexed), columns 0 (<code>&#39;a&#39;</code>, <code>&#39;b&#39;</code>, <code>&#39;c&#39;</code>) and 2 (<code>&#39;c&#39;</code>, <code>&#39;e&#39;</code>, <code>&#39;e&#39;</code>) are sorted while column 1 (<code>&#39;b&#39;</code>, <code>&#39;c&#39;</code>, <code>&#39;a&#39;</code>) is not, so you would delete column 1.</p>
<p>Return <em>the number of columns that you will delete</em>.</p>
<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>
<pre>
<strong>Input:</strong> strs = [&quot;cba&quot;,&quot;daf&quot;,&quot;ghi&quot;]
<strong>Output:</strong> 1
<strong>Explanation:</strong> 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.
</pre>
<p><strong>Example 2:</strong></p>
<pre>
<strong>Input:</strong> strs = [&quot;a&quot;,&quot;b&quot;]
<strong>Output:</strong> 0
<strong>Explanation:</strong> The grid looks as follows:
a
b
Column 0 is the only column and is sorted, so you will not delete any columns.
</pre>
<p><strong>Example 3:</strong></p>
<pre>
<strong>Input:</strong> strs = [&quot;zyx&quot;,&quot;wvu&quot;,&quot;tsr&quot;]
<strong>Output:</strong> 3
<strong>Explanation:</strong> The grid looks as follows:
zyx
wvu
tsr
All 3 columns are not sorted, so you will delete all 3.
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>n == strs.length</code></li>
<li><code>1 &lt;= n &lt;= 100</code></li>
<li><code>1 &lt;= strs[i].length &lt;= 1000</code></li>
<li><code>strs[i]</code> consists of lowercase English letters.</li>
</ul>