$1.$

$$To calculate a given expression in writing

$($

Calculator

$)$

For example:

When the expression

$3$

$+$

$4$

$-$

$98$

$$is given, the program should interpret the expression as

$3$

$+$

$4$

$-$

$(9*8)$

$$and display the result as

$3$

$+$

$4$

$-$

$98$

$=$

$3$

$+$

$4$

$-$

$(9*8)$

$=$

$-$

$65.$

Additionally, when the expression cos

$($

P

$/4)$

$$is given, it should calculate the result as cos

$/$

pl

$/4)$

$=$

$0\mathrm{.}707106781$

$.$

The following operators must be recognised:

$*$

$$ addition

$($

$+$

$)$

$*$

$$ subtraction

$($

$-$

$)$

$*$

$$ multiplication

$(*)$

$*$

$$ division

$(/)$

$*$

$$exponentiation

$($

$^$

$)$

$*$

$$modulo

$($

$\%$

$)$

$*$

$$factorial

$($

$!$

$)$

$*$

$$sin

$*$

$$COS

$*$

$$ tan

$*$

$$ cot

$*$

$$ asin

$*$

$$ acos

$*$

$$ atan

$*$

$$ acot

$*$

$$ In

$($

natural logarithm

$)$

$*$

$$ log

$($

logarithm with base

$10)$

$*$

$$ sgn

$($

sign function

$)$

$*$

$$PI

$($

pi constant

$)$

$*$

$$exp

$($

e constant

$)$

$*($

and

$)($

parentheses

$)$

Note: Apart from these, characters and operators should not be used. If used, the program should produce an error. The implementation of the project may involve using a stack data structure. It is recommended to implement the project using a visual programming language

$($

Java

$)$

$,$

$$but if done in a console environment

$($

C

$)$

$,$

$$the screen outputs should be understandable.