Project 1 The first programming project involves writing a program that parses, using recursive descent, a GUI definition language defined in an input file and generates the GUI that it defines. The grammar for this language is defined below: Window STRING'( NUMBER, NUMBER'' layout widgets End'. layout Layout layout type layout_type- Flow Grid '( NUMBER' NUMBER[', NUMBER', NUMBER]'' widgets- widget widgets widget widget- Button STRING' Group radio_buttons End' Label STRING'' Panel layout widgets End' Textfield NUMBER radio buttons - radio_button radio_buttons | radio button radio button Radio STRING' In the above grammar, the red symbols are nonterminals, the blue symbols are tokens and the black punctuation symbols are BNF metasymbols. Among the tokens those in title case are keywords. The character literals are punctuation tokens. Below is an explanation of the meaning of some of the symbols in the above productions that should help you understand the actions that are to be performed when each of the productions is parsed In the window production the string is the name that is to appear in the top border of the window and the two numbers are the width and height of the window In the production for layout_type that define the grid layout, the first two numbers represent the number of rows and columns, and the optional next two the horizontal and vertical gaps In the production for widget that defines a button, the string is the name of the button In the production for widget that defines a label, the string is text that is to be placed in the label In the production for widget that defines a text field, the number is the width of the text field In the production for radio_button, the string is the label of the button You parser should properly handle the fact that panels can be nested in other panels. Recursive productions must be implemented using recursion. Syntactically incorrect input files should detect and report the first error