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EIUBRACKET2 - BALANCED PARENTHESES

You are given a string containing just the characters '(', ')', '{', '}', '[' and ']'. Your task is to determine if the input string is valid. An input string is valid if:

  1. Open brackets must be closed by the same type of brackets.
  2. Open brackets must be closed in the correct order.

Input

An interger N (N ≤ 10) is the number of testcases

Each of the next N lines contains a string of only brackets S (0 ≤ |S| ≤ 104).

Output

true if S is valid, otherwise false.

Sample

Input

Output

1

{[]}

true

2

([)]

{[]}

false

true


Added by:Ha Minh Ngoc
Date:2024-01-30
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:CSHARP C++ 4.3.2 CPP CPP14 CPP14-CLANG FSHARP GO JAVA JS-MONKEY NODEJS PHP PYTHON PYPY PYPY3 PYTHON3 RUBY SQLITE SWIFT VB.NET
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