We have three types of brackets: "()", "[]", and "{}". We are now interested in some special strings. A string is special if all the following conditions hold:

Each character of the string is one of the six bracket characters mentioned above.

The characters of the string can be divided into disjoint pairs such that in each pair we have an opening bracket and a closing bracket of the same type.

For each pair, the opening bracket must occur to the left of the corresponding closing bracket.

For each pair, the substring strictly between the opening and the closing bracket must be a special string (again, according to this definition).

For example, the empty string is a special string: there are 0 pairs of brackets. 

The string "[]" is also a special string: there is one pair of matching brackets, they are in the proper order, and the string between them (which is the empty string) is a special string. 

Now give you a string ,your task is to judge whether it is a special string.(The string may contains ‘X’,and we can change each 'X' into one of the brackets, the number of X is at most 10)