{ "data": { "question": { "questionId": "3813", "questionFrontendId": "3518", "categoryTitle": "Algorithms", "boundTopicId": 3648618, "title": "Smallest Palindromic Rearrangement II", "titleSlug": "smallest-palindromic-rearrangement-ii", "content": "
You are given a palindromic string s
and an integer k
.
Return the k-th lexicographically smallest palindromic permutation of s
. If there are fewer than k
distinct palindromic permutations, return an empty string.
Note: Different rearrangements that yield the same palindromic string are considered identical and are counted once.
\n\n\n
Example 1:
\n\nInput: s = "abba", k = 2
\n\nOutput: "baab"
\n\nExplanation:
\n\n"abba"
are "abba"
and "baab"
."abba"
comes before "baab"
. Since k = 2
, the output is "baab"
.Example 2:
\n\nInput: s = "aa", k = 2
\n\nOutput: ""
\n\nExplanation:
\n\n"aa"
.k = 2
exceeds the number of possible rearrangements.Example 3:
\n\nInput: s = "bacab", k = 1
\n\nOutput: "abcba"
\n\nExplanation:
\n\n"bacab"
are "abcba"
and "bacab"
."abcba"
comes before "bacab"
. Since k = 1
, the output is "abcba"
.\n
Constraints:
\n\n1 <= s.length <= 104
s
consists of lowercase English letters.s
is guaranteed to be palindromic.1 <= k <= 106
给你一个 回文 字符串 s
和一个整数 k
。
返回 s
的按字典序排列的 第 k 小 回文排列。如果不存在 k
个不同的回文排列,则返回空字符串。
注意: 产生相同回文字符串的不同重排视为相同,仅计为一次。
\n\n如果一个字符串从前往后和从后往前读都相同,那么这个字符串是一个 回文 字符串。
\n\n排列 是字符串中所有字符的重排。
\n\n如果字符串 a
按字典序小于字符串 b
,则表示在第一个不同的位置,a
中的字符比 b
中的对应字符在字母表中更靠前。
\n如果在前 min(a.length, b.length)
个字符中没有区别,则较短的字符串按字典序更小。
\n\n
\n\n
示例 1:
\n\n输入: s = \"abba\", k = 2
\n\n输出: \"baab\"
\n\n解释:
\n\n\"abba\"
的两个不同的回文排列是 \"abba\"
和 \"baab\"
。\"abba\"
位于 \"baab\"
之前。由于 k = 2
,输出为 \"baab\"
。示例 2:
\n\n输入: s = \"aa\", k = 2
\n\n输出: \"\"
\n\n解释:
\n\n\"aa\"
。k = 2
超过了可能的排列数,输出为空字符串。示例 3:
\n\n输入: s = \"bacab\", k = 1
\n\n输出: \"abcba\"
\n\n解释:
\n\n\"bacab\"
的两个不同的回文排列是 \"abcba\"
和 \"bacab\"
。\"abcba\"
位于 \"bacab\"
之前。由于 k = 1
,输出为 \"abcba\"
。\n\n
提示:
\n\n1 <= s.length <= 104
s
由小写英文字母组成。s
是回文字符串。1 <= k <= 106
floor(n / 2)
characters (the rest are determined by symmetry).",
"Count character frequencies and use half the counts for construction.",
"Incrementally choose each character (from smallest to largest) and calculate how many valid arrangements result if that character is chosen at the current index.",
"If the count is at least k
, fix that character; otherwise, subtract the count from k
and try the next candidate.",
"Use combinatorics to compute the number of permutations at each step."
],
"solution": null,
"status": null,
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