{ "data": { "question": { "questionId": "1941", "questionFrontendId": "1830", "categoryTitle": "Algorithms", "boundTopicId": 721689, "title": "Minimum Number of Operations to Make String Sorted", "titleSlug": "minimum-number-of-operations-to-make-string-sorted", "content": "

You are given a string s (0-indexed). You are asked to perform the following operation on s until you get a sorted string:

\n\n
    \n\t
  1. Find the largest index i such that 1 <= i < s.length and s[i] < s[i - 1].
  2. \n\t
  3. Find the largest index j such that i <= j < s.length and s[k] < s[i - 1] for all the possible values of k in the range [i, j] inclusive.
  4. \n\t
  5. Swap the two characters at indices i - 1 and j.
  6. \n\t
  7. Reverse the suffix starting at index i.
  8. \n
\n\n

Return the number of operations needed to make the string sorted. Since the answer can be too large, return it modulo 109 + 7.

\n\n

 

\n

Example 1:

\n\n
\nInput: s = "cba"\nOutput: 5\nExplanation: The simulation goes as follows:\nOperation 1: i=2, j=2. Swap s[1] and s[2] to get s="cab", then reverse the suffix starting at 2. Now, s="cab".\nOperation 2: i=1, j=2. Swap s[0] and s[2] to get s="bac", then reverse the suffix starting at 1. Now, s="bca".\nOperation 3: i=2, j=2. Swap s[1] and s[2] to get s="bac", then reverse the suffix starting at 2. Now, s="bac".\nOperation 4: i=1, j=1. Swap s[0] and s[1] to get s="abc", then reverse the suffix starting at 1. Now, s="acb".\nOperation 5: i=2, j=2. Swap s[1] and s[2] to get s="abc", then reverse the suffix starting at 2. Now, s="abc".\n
\n\n

Example 2:

\n\n
\nInput: s = "aabaa"\nOutput: 2\nExplanation: The simulation goes as follows:\nOperation 1: i=3, j=4. Swap s[2] and s[4] to get s="aaaab", then reverse the substring starting at 3. Now, s="aaaba".\nOperation 2: i=4, j=4. Swap s[3] and s[4] to get s="aaaab", then reverse the substring starting at 4. Now, s="aaaab".\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "使字符串有序的最少操作次数", "translatedContent": "

给你一个字符串 s (下标从 0 开始)。你需要对 s 执行以下操作直到它变为一个有序字符串:

\n\n
    \n\t
  1. 找到 最大下标 i ,使得 1 <= i < s.length 且 s[i] < s[i - 1] 。
  2. \n\t
  3. 找到 最大下标 j ,使得 i <= j < s.length 且对于所有在闭区间 [i, j] 之间的 k 都有 s[k] < s[i - 1] 。
  4. \n\t
  5. 交换下标为 i - 1 和 j 处的两个字符。
  6. \n\t
  7. 将下标 i 开始的字符串后缀反转。
  8. \n
\n\n

请你返回将字符串变成有序的最少操作次数。由于答案可能会很大,请返回它对 109 + 7 取余 的结果。

\n\n

 

\n\n

示例 1:

\n\n
输入:s = \"cba\"\n输出:5\n解释:模拟过程如下所示:\n操作 1:i=2,j=2。交换 s[1] 和 s[2] 得到 s=\"cab\" ,然后反转下标从 2 开始的后缀字符串,得到 s=\"cab\" 。\n操作 2:i=1,j=2。交换 s[0] 和 s[2] 得到 s=\"bac\" ,然后反转下标从 1 开始的后缀字符串,得到 s=\"bca\" 。\n操作 3:i=2,j=2。交换 s[1] 和 s[2] 得到 s=\"bac\" ,然后反转下标从 2 开始的后缀字符串,得到 s=\"bac\" 。\n操作 4:i=1,j=1。交换 s[0] 和 s[1] 得到 s=\"abc\" ,然后反转下标从 1 开始的后缀字符串,得到 s=\"acb\" 。\n操作 5:i=2,j=2。交换 s[1] 和 s[2] 得到 s=\"abc\" ,然后反转下标从 2 开始的后缀字符串,得到 s=\"abc\" 。\n
\n\n

示例 2:

\n\n
输入:s = \"aabaa\"\n输出:2\n解释:模拟过程如下所示:\n操作 1:i=3,j=4。交换 s[2] 和 s[4] 得到 s=\"aaaab\" ,然后反转下标从 3 开始的后缀字符串,得到 s=\"aaaba\" 。\n操作 2:i=4,j=4。交换 s[3] 和 s[4] 得到 s=\"aaaab\" ,然后反转下标从 4 开始的后缀字符串,得到 s=\"aaaab\" 。\n
\n\n

示例 3:

\n\n
输入:s = \"cdbea\"\n输出:63
\n\n

示例 4:

\n\n
输入:s = \"leetcodeleetcodeleetcode\"\n输出:982157772\n
\n\n

 

\n\n

提示:

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