Q: A bracket is considered to be following of the characters ‘(‘, ‘)’, ‘[‘, ‘]’, ‘{], ‘}’. 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:

1. It contains no unmatched brackets.
2. The subset of brackets enclosed within the confines of a matched pair of brackets is also a matched pair of brackets. Given n string of rackets, determine whether each sequence of brackets is balanced. If string is balanced, return YES, otherwise return NO. EXAMPLE: Input: 2 [ ( { } ) ] { ( ] } Output: YES NO