{ "data": { "question": { "questionId": "1000", "questionFrontendId": "960", "categoryTitle": "Algorithms", "boundTopicId": 2557, "title": "Delete Columns to Make Sorted III", "titleSlug": "delete-columns-to-make-sorted-iii", "content": "

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

\n\n

We may choose any deletion indices, and we delete all the characters in those indices for each string.

\n\n

For example, if we have strs = ["abcdef","uvwxyz"] and deletion indices {0, 2, 3}, then the final array after deletions is ["bef", "vyz"].

\n\n

Suppose we chose a set of deletion indices answer such that after deletions, the final array has every string (row) in lexicographic order. (i.e., (strs[0][0] <= strs[0][1] <= ... <= strs[0][strs[0].length - 1]), and (strs[1][0] <= strs[1][1] <= ... <= strs[1][strs[1].length - 1]), and so on). Return the minimum possible value of answer.length.

\n\n

 

\n

Example 1:

\n\n
\nInput: strs = ["babca","bbazb"]\nOutput: 3\nExplanation: After deleting columns 0, 1, and 4, the final array is strs = ["bc", "az"].\nBoth these rows are individually in lexicographic order (ie. strs[0][0] <= strs[0][1] and strs[1][0] <= strs[1][1]).\nNote that strs[0] > strs[1] - the array strs is not necessarily in lexicographic order.
\n\n

Example 2:

\n\n
\nInput: strs = ["edcba"]\nOutput: 4\nExplanation: If we delete less than 4 columns, the only row will not be lexicographically sorted.\n
\n\n

Example 3:

\n\n
\nInput: strs = ["ghi","def","abc"]\nOutput: 0\nExplanation: All rows are already lexicographically sorted.\n
\n\n

 

\n

Constraints:

\n\n\n\n\n", "translatedTitle": "删列造序 III", "translatedContent": "

给定由 n 个小写字母字符串组成的数组 strs ,其中每个字符串长度相等。

\n\n

选取一个删除索引序列,对于 strs 中的每个字符串,删除对应每个索引处的字符。

\n\n

比如,有 strs = [\"abcdef\",\"uvwxyz\"] ,删除索引序列 {0, 2, 3} ,删除后为 [\"bef\", \"vyz\"] 。

\n\n

假设,我们选择了一组删除索引 answer ,那么在执行删除操作之后,最终得到的数组的行中的 每个元素 都是按字典序排列的(即 (strs[0][0] <= strs[0][1] <= ... <= strs[0][strs[0].length - 1]) 和 (strs[1][0] <= strs[1][1] <= ... <= strs[1][strs[1].length - 1]) ,依此类推)。

\n\n

请返回 answer.length 的最小可能值 。

\n\n

 

\n\n

示例 1:

\n\n
\n输入:strs = [\"babca\",\"bbazb\"]\n输出:3\n解释:\n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(即,A[0][0] <= A[0][1] 且 A[1][0] <= A[1][1])。\n注意,A[0] > A[1] —— 数组 A 不一定是按字典序排列的。\n
\n\n

示例 2:

\n\n
\n输入:strs = [\"edcba\"]\n输出:4\n解释: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
\n\n

示例 3:

\n\n
\n输入:strs = [\"ghi\",\"def\",\"abc\"]\n输出:0\n解释:所有行都已按字典序排列。\n
\n\n

 

\n\n

提示:

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