(Your)((Term)((Project))) 
Time Limit: 1000ms, Special Time Limit:2500ms, Memory Limit:32768KB 
Total submit users: 0, Accepted users: 0 
Problem 10694 :
No special judgement

Problem description 
You have typed
the report of your term project in your personal computer. There are several one
line arithmetic expressions in your report. There is no redundant parentheses in
the expressions (omitting a pair of redundant matching parentheses does not
change the value of the expression). In your absence, your little brother
inserts some redundant matching parentheses in the expressions of your report.
Assume that the expressions remain syntactically correct and evaluate to their
original value (the value before inserting redundant parentheses). To restore
your report to its original form, you are to write a program to omit all
redundant parentheses.
To make life easier, consider the following simplifying assumptions:
1. The input file contains a number of expressions, each in one separate line.
2. Variables in the expressions are only single uppercase letters.
3. Operators in the expressions are only binary '+' and binary ''.
Note that the only transformation allowed is omission of redundant parentheses,
and no algebraic simplification is allowed.

Input 
The input file consists of several test cases. The first line of the file
contains a single number M, which is the number of test cases (1 <= M <= 10).
Each of the following M lines, is exactly one correct expression. There may be
arbitrarily space characters in each line. The length of each line (including
spaces) is at most 255 characters.

Output 
The output for each test case is the same expression without redundant
parentheses. Notice that the order of operands in an input expression and its
corresponding output should be the same. Each output expression must be on a
separate line. Space characters should be omitted in the output expressions.

Sample Input 
3
(AB + C)  (A+(B  C))  (C(D E) )
((A)( (B)))
A(B+C) 
Sample Output 
AB+C(A+BC)(C(DE))
AB
A(B+C) 
Problem Source 
Asia 1999, Tehran (Iran)

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