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Brackets

You are given an expression with numbers, brackets and operators. Brackets come in three flavors: "{}" "()" or "[]". Brackets are used to determine scope or to restrict some expression. If a bracket is open, then it must be closed with a closing bracket of the same type. The scope of a bracket must not intersected by another bracket. In this task you should make a decision, whether to correct an expression or not based on the brackets.

Input: An expression with different types of brackets as a str.

Output: A verdict on the correctness of the expression as a boolean (True or False).

Example:

brackets("((5+3)*2+1)") == True
brackets("{[(3+1)+2]+}") == True
brackets("(3+{1-1)}") == False