c++ language

Problems: 1) Matching grouping symbols: Write a program that takes as input an arithmetic expression. The program outputs whether the expression contains matching grouping symbols. For example, the arithmetic expressions 125 + (3 - 6) *8 and 7 8 *2 contains matching grouping symbols. However, the expression 5 + 1 (13 + 7) / 8 2 9 does not contain matching grouping symbols. Hint: use a stack. 2) Add count to linkedQueueType: The implementation of a queue in an array, as given in this chapter, uses the variable count to determine whether the queue is empty or full. You can also use the variable count to return the number of elements in the queue. (See Exercise 13.) On the other hand, class linkedQueueType does not use such a variable to keep track of the number of elements in the queue. Redefine the class linkedQueueType by adding the variable count to keep track of the number of elements in the queue. Modify the definitions of the functions addQueue and deleteQueue as necessary. Add the function queueCount to return the number of elements in the queue. Also, write a program to test various operations of the class you defined