You are given an integer n.
A number is called special if:
\n\nk in the number appears exactly k times.Return the smallest special number strictly greater than n.
\n
Example 1:
\n\nInput: n = 2
\n\nOutput: 22
\n\nExplanation:
\n\n22 is the smallest special number greater than 2, as it is a palindrome and the digit 2 appears exactly 2 times.
\nExample 2:
\n\nInput: n = 33
\n\nOutput: 212
\n\nExplanation:
\n\n212 is the smallest special number greater than 33, as it is a palindrome and the digits 1 and 2 appear exactly 1 and 2 times respectively.
\n
\n
Constraints:
\n\n0 <= n <= 1015给你一个整数 n。
如果一个数满足以下条件，那么它被称为 特殊数 ：
\n\nk 出现 恰好 k 次。返回 严格 大于 n 的 最小 特殊数。
如果一个整数正向读和反向读都相同，则它是 回文数 。例如，121 是回文数，而 123 不是。
\n\n
示例 1:
\n\n输入: n = 2
\n\n输出: 22
\n\n解释:
\n\n22 是大于 2 的最小特殊数，因为它是一个回文数，并且数字 2 恰好出现了 2 次。
\n示例 2:
\n\n输入: n = 33
\n\n输出: 212
\n\n解释:
\n\n212 是大于 33 的最小特殊数，因为它是一个回文数，并且数字 1 和 2 恰好分别出现了 1 次和 2 次。
\n\n\n
提示:
\n\n0 <= n <= 1015k for the number.",
"Generate all permutations of the first half of the digits, then mirror them to form the full palindrome.",
"For each n, use binary search to find the smallest special number strictly greater than n."
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