1255. Brackets sequence

单点时限: 2.0 sec

内存限制: 256 MB

Let us define a regular brackets sequence in the following way:

  1. Empty sequence is a regular sequence.
  2. If $S$ is a regular sequence, then $(S)$ and $[S]$ are both regular sequences.
  3. If $A$ and $B$ are regular sequences, then $AB$ is a regular sequence.

For example, all of the following sequences of characters are regular brackets sequences:
(), [], (()), ([]), ()[], ()[()]

And all of the following character sequences are not:
(, [, ), )(, ([)], ([(]

Some sequence of characters ‘(‘, ‘)’, ‘[‘, and ‘]’ is given. You are to find the shortest possible regular brackets sequence, that contains the given character sequence as a subsequence. Here, a string $a_1a_2\ldots a_n$ is called a subsequence of the string $b_1b_2 \ldots b_m$, if there exist such indices $1 \le i_1 < i_2 < \cdots < i_n \le m$, that $a_j=b_{i_j}$ for all $1 \le j \le n$.


The input file contains at most 100 brackets (characters ‘(‘, ‘)’, ‘[‘ and ‘]’) that are situated on a single line without any other characters among them.


Write to the output file a single line that contains some regular brackets sequence that has the minimal possible length and contains the given sequence as a subsequence.



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创建: 16 年,10 月前.

修改: 6 年,3 月前.

最后提交: 9 月,1 周前.