You are given a string consisting of parentheses () and []. A string of this type is said to be correct:
(a)
if it is the empty string
(b)
if A and B are correct, AB is correct,
(c)
if A is correct, (A) and [A] is correct.
Write a program that takes a sequence of strings of this type and check their correctness. Your program can assume that the maximum string length is 128.
Input
The file contains a positive integer n and a sequence of n strings of parentheses () and [], one string a line.
Output
A sequence of Yes or No on the output file.
About the problem:
I suggest you make a recursive function which reads a char, checks if the next char is appropriate closing parenthesis. If not is calls itself to check the following char.