Given is following BNF grammar:

a)Give the nonterminals of the grammar semantics by specifying the computational structures and interpretations . The interpretation of the start symbol should return the value of the recognized decimal number as an integer from Z. As an auxiliary function, let the operator # : (language generated by ) N be given, which returns the length of a sequence of decimal digits, e.g. e.g. # (representation of 7) = 1, # (representation of 46385) = 5

N==s=P={,,}{0,1,2,3,4,5,6,7,8,9,}{::=::=::=0123456789}