Consider the following BNF grammar:

A -> I = E | E
E -> T + E | T - E | T
T -> F * T | F / T | F
F -> P ^ F | P
P -> I | L | UI | UL | (A)
U -> + | - | !
I -> C | CI
C -> a | b | ... | y | z
L -> D | DL
D -> 0 | 1 | ... | 8 | 9

Using the technique described in class implement a recursive descent parser that recognizes strings in this language. Input should be from a file called input.txt and output should be to the console. An example session might look like this:

String read from file: a=a+b-c*d
The string "a=a+b-c*d" is in the language.
String read from file: a=a**b++c
The string "a=a**b++c" is not in the language.

You must implement the project in BOTH Java and C++! Implementations that do not include a solution in both languages will, at best, receive half credit. To simplify things you will not have to handle whitespace when parsing the string, i.e. " " and similiar are illegal characters in this language.

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