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| 1 | +<h2>unknown-problem</h2><h3>Easy</h3><hr><div><p>We are given an array <code>A</code> of <code>N</code> lowercase letter strings, all of the same length.</p> |
| 2 | + |
| 3 | +<p>Now, we may choose any set of deletion indices, and for each string, we delete all the characters in those indices.</p> |
| 4 | + |
| 5 | +<p>For example, if we have an array <code>A = ["abcdef","uvwxyz"]</code> and deletion indices <code>{0, 2, 3}</code>, then the final array after deletions is <code>["bef", "vyz"]</code>, and the remaining columns of <code>A</code> are <code>["b","v"]</code>, <code>["e","y"]</code>, and <code>["f","z"]</code>. (Formally, the <code>c</code>-th column is <code>[A[0][c], A[1][c], ..., A[A.length-1][c]]</code>).</p> |
| 6 | + |
| 7 | +<p>Suppose we chose a set of deletion indices <code>D</code> such that after deletions, each remaining column in A is in <strong>non-decreasing</strong> sorted order.</p> |
| 8 | + |
| 9 | +<p>Return the minimum possible value of <code>D.length</code>.</p> |
| 10 | + |
| 11 | +<p> </p> |
| 12 | +<p><strong>Example 1:</strong></p> |
| 13 | + |
| 14 | +<pre><strong>Input:</strong> A = ["cba","daf","ghi"] |
| 15 | +<strong>Output:</strong> 1 |
| 16 | +<strong>Explanation: </strong> |
| 17 | +After choosing D = {1}, each column ["c","d","g"] and ["a","f","i"] are in non-decreasing sorted order. |
| 18 | +If we chose D = {}, then a column ["b","a","h"] would not be in non-decreasing sorted order. |
| 19 | +</pre> |
| 20 | + |
| 21 | +<p><strong>Example 2:</strong></p> |
| 22 | + |
| 23 | +<pre><strong>Input:</strong> A = ["a","b"] |
| 24 | +<strong>Output:</strong> 0 |
| 25 | +<strong>Explanation: </strong>D = {} |
| 26 | +</pre> |
| 27 | + |
| 28 | +<p><strong>Example 3:</strong></p> |
| 29 | + |
| 30 | +<pre><strong>Input:</strong> A = ["zyx","wvu","tsr"] |
| 31 | +<strong>Output:</strong> 3 |
| 32 | +<strong>Explanation: </strong>D = {0, 1, 2} |
| 33 | +</pre> |
| 34 | + |
| 35 | +<p> </p> |
| 36 | +<p><strong>Constraints:</strong></p> |
| 37 | + |
| 38 | +<ul> |
| 39 | + <li><code>1 <= A.length <= 100</code></li> |
| 40 | + <li><code>1 <= A[i].length <= 1000</code></li> |
| 41 | +</ul> |
| 42 | +</div> |
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