Equation
Write a program that changes an infix expression to a postfix expression according to the following
specifications.
Input
- The infix expression to be converted is in the input file in the format of one character per line, with a maximum of 50 lines in the file. For example, (3+2)*5 would be in the form:
( 3 + 2 ) * 5
- The input starts with an integer on a line by itself indicating the number of test cases. Several infix expressions follows, preceded by a blank line.
- The program will only be designed to handle the binary operators +, -, *, /.
- The operands will be one digit numerals.
- The operators * and / have the highest priority. The operators + and - have the lowest priority. Operators at the same precedence level associate from left to right. Parentheses act as grouping symbols that over-ride the operator priorities.
- Each testcase will be an expression with valid syntax.
Output
The output file will have each postfix expression all on one line. Print a blank line between different expressions.
Sample Input
1
( 3 + 2 ) * 5
Sample Output
32+5*