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balanced brackets
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Easy

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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.

CONSTRAINTS:

1<=n<=10^3
1<=|s|<=10^3, where  is the length of the sequence.
All chracters in the sequences ? { {, }, (, ), [, ] }.

OUTPUT:

For each string, return YES or NO.
 

SAMPLE INPUT
3
{[()]}
{[(])}
{{[[(())]]}}
SAMPLE OUTPUT
YES
NO
YES
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: [(]).

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

Time Limit: 5.0 sec(s) for each input file.
Memory Limit: 256 MB
Source Limit: 1024 KB
Marking Scheme: Marks are awarded when all the testcases pass.
Allowed Languages: Bash, C, C++, C++14, Clojure, C#, D, Erlang, F#, Go, Groovy, Haskell, Java, Java 8, JavaScript(Rhino), JavaScript(Node.js), Julia, Kotlin, Lisp, Lisp (SBCL), Lua, Objective-C, OCaml, Octave, Pascal, Perl, PHP, Python, Python 3, R(RScript), Racket, Ruby, Rust, Scala, Swift, Swift-4.1, TypeScript, Visual Basic

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