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leetcode-problemset/leetcode-cn/originData/delete-columns-to-make-sorted-iii.json
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"categoryTitle": "Algorithms",
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"title": "Delete Columns to Make Sorted III",
"titleSlug": "delete-columns-to-make-sorted-iii",
"content": "<p>You are given an array of <code>n</code> strings <code>strs</code>, all of the same length.</p>\n\n<p>We may choose any deletion indices, and we delete all the characters in those indices for each string.</p>\n\n<p>For example, if we have <code>strs = [&quot;abcdef&quot;,&quot;uvwxyz&quot;]</code> and deletion indices <code>{0, 2, 3}</code>, then the final array after deletions is <code>[&quot;bef&quot;, &quot;vyz&quot;]</code>.</p>\n\n<p>Suppose we chose a set of deletion indices <code>answer</code> such that after deletions, the final array has <strong>every string (row) in lexicographic</strong> order. (i.e., <code>(strs[0][0] &lt;= strs[0][1] &lt;= ... &lt;= strs[0][strs[0].length - 1])</code>, and <code>(strs[1][0] &lt;= strs[1][1] &lt;= ... &lt;= strs[1][strs[1].length - 1])</code>, and so on). Return <em>the minimum possible value of</em> <code>answer.length</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> strs = [&quot;babca&quot;,&quot;bbazb&quot;]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> After deleting columns 0, 1, and 4, the final array is strs = [&quot;bc&quot;, &quot;az&quot;].\nBoth these rows are individually in lexicographic order (ie. strs[0][0] &lt;= strs[0][1] and strs[1][0] &lt;= strs[1][1]).\nNote that strs[0] &gt; strs[1] - the array strs is not necessarily in lexicographic order.</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> strs = [&quot;edcba&quot;]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> If we delete less than 4 columns, the only row will not be lexicographically sorted.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> strs = [&quot;ghi&quot;,&quot;def&quot;,&quot;abc&quot;]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> All rows are already lexicographically sorted.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == strs.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 100</code></li>\n\t<li><code>1 &lt;= strs[i].length &lt;= 100</code></li>\n\t<li><code>strs[i]</code> consists of lowercase English letters.</li>\n</ul>\n\n<ul>\n\t<li>&nbsp;</li>\n</ul>\n",
"translatedTitle": "删列造序 III",
"translatedContent": "<p>给定由<meta charset=\"UTF-8\" />&nbsp;<code>n</code>&nbsp;个小写字母字符串组成的数组<meta charset=\"UTF-8\" />&nbsp;<code>strs</code>&nbsp;,其中每个字符串长度相等。</p>\n\n<p>选取一个删除索引序列,对于<meta charset=\"UTF-8\" />&nbsp;<code>strs</code>&nbsp;中的每个字符串,删除对应每个索引处的字符。</p>\n\n<p>比如,有<meta charset=\"UTF-8\" />&nbsp;<code>strs = [\"abcdef\",\"uvwxyz\"]</code>&nbsp;,删除索引序列<meta charset=\"UTF-8\" />&nbsp;<code>{0, 2, 3}</code>&nbsp;,删除后为<meta charset=\"UTF-8\" />&nbsp;<code>[\"bef\", \"vyz\"]</code>&nbsp;。</p>\n\n<p>假设,我们选择了一组删除索引<meta charset=\"UTF-8\" />&nbsp;<code>answer</code>&nbsp;,那么在执行删除操作之后,最终得到的数组的行中的 <strong>每个元素</strong> 都是按<strong>字典序</strong>排列的(即&nbsp;<code>(strs[0][0] &lt;= strs[0][1] &lt;= ... &lt;= strs[0][strs[0].length - 1])</code>&nbsp;和&nbsp;<code>(strs[1][0] &lt;= strs[1][1] &lt;= ... &lt;= strs[1][strs[1].length - 1])</code> ,依此类推)。</p>\n\n<p>请返回<meta charset=\"UTF-8\" /><em>&nbsp;<code>answer.length</code>&nbsp;的最小可能值</em>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>strs = [\"babca\",\"bbazb\"]\n<strong>输出:</strong>3\n<strong>解释:\n</strong>删除 0、1 和 4 这三列后,最终得到的数组是 A = [\"bc\", \"az\"]。\n这两行是分别按字典序排列的A[0][0] &lt;= A[0][1] 且 A[1][0] &lt;= A[1][1])。\n注意A[0] &gt; A[1] —— 数组 A 不一定是按字典序排列的。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>strs = [\"edcba\"]\n<strong>输出:</strong>4\n<strong>解释:</strong>如果删除的列少于 4 列,则剩下的行都不会按字典序排列。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>strs = [\"ghi\",\"def\",\"abc\"]\n<strong>输出:</strong>0\n<strong>解释:</strong>所有行都已按字典序排列。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n<meta charset=\"UTF-8\" />\n\n<ul>\n\t<li><code>n == strs.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 100</code></li>\n\t<li><code>1 &lt;= strs[i].length &lt;= 100</code></li>\n\t<li><code>strs[i]</code>&nbsp;由小写英文字母组成</li>\n</ul>\n",
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