Balanced Paranthesis

A bracket is considered to be any one of the following characters: (, ), {, }, [, or ]. Two brackets are considered to be a matched pair if the an opening bracket (i.e., (, [, or {) occurs to the left of a closing bracket (i.e., ), ], or }) of the exact same type. There are three types of matched pairs of brackets: [], {},and (). A matching pair of brackets is not balanced if the set of brackets it encloses are not matched. For example, {[(])} is not balanced because the contents in between { and } are not balanced. The pair of square brackets encloses a single, unbalanced opening bracket, (, and the pair of parentheses encloses a single, unbalanced closing square bracket, ]. By this logic, we say a sequence of brackets is balanced if the following conditions are met: It contains no unmatched brackets. The subset of brackets enclosed within the confines of a matched pair of brackets is also a matched pair of brackets. Given n strings of brackets, determine whether each sequence of brackets is balanced. If a string is balanced, return YES. Otherwise, return NO.

INPUT:

The first line contains a single integer n, the number of strings. Each of the next n lines contains a single string s, a sequence of brackets. OUTPUT: For each string, return YES or NO.

SAMPLE INPUT

1

{[()]}

SAMPLE OUTPUT

YES

SAMPLE INPUT

1

{[(])}

SAMPLE OUTPUT

NO

Explanation

1.The string {[()]} meets both criteria for being a balanced string, so we print YES on a new line.

2.The string {[(])} is not balanced because the brackets enclosed by the matched pair { and } are not balanced: [(]).