Parentheses $($possibly nested ones$)$: $(,)$

Binary operators:

power function: $x^{{?}^{{?}^{?}}}y.$

operators: $*,/$

operators:,$+-$

operators: $>,,,$

operators: $==,$

Additional Requirements:

a$)$ Design and submit the pseudo$-$code of the arithmetic calculator. You can write your answer in

a separate file and submit it together with the other submissions.

b$)$ Briefly explain the time and space complexity for your solution. You can write your answer in

a separate file and submit it together with the other submissions.

c$)$ Provide test logs for the Java program for at least $20$ different and sufficiently complex

arithmetic expressions that use all types of operators $($including parentheses$)$ in varying

combinations. These input and output file MUST be submitted with your assignment.

$$ As a general programming rule, keep in mind that if you write a code then do not test it$,$

then you might as well do not write at all, since there is no guarantee it will ever work! So$,$

please stress test your code.