Recognizing strings based on a set of restrictions is a common computational problem.
A Slurpy is a string of characters that has certain properties. Your program will read in strings of characters and output whether or not they are Slurpys.
A Slump is a character string that has the following properties:
1. Its first character is either a 'D' or an 'E'.
2. The first character is followed by a string of one or more 'F's.
3. The string of one or more 'F's is followed by either a Slump or a 'G'. The Slump or 'G' that follows the F's ends the Slump. For example DFFEFFFG is a Slump since it has a 'D' for its first character, followed by a string of two F's, and ended by the Slump 'EFFFG'.
4. Nothing else is a Slump.
A Slimp is a character string that has the following properties:
1. Its first character is an 'A'.
2. If it is a two character Slimp then its second and last character is an 'H'.
3. If it is not a two character Slimp then it is in one of these two forms:
a) 'A' followed by 'B' followed by a Slimp followed by a 'C'.
b) 'A' followed by a Slump (see above) followed by a 'C'.
4. Nothing else is a Slimp.
A Slurpy is a character string that consists of a Slimp followed by a Slump.
Examples
Slumps: DFG, EFG, DFFFFFG, DFDFDFDFG, DFEFFFFFG
Not Slumps: DFEFF, EFAHG, DEFG, DG, EFFFFDG
Slimps: AH, ABAHC, ABABAHCC, ADFGC, ADFFFFGC, ABAEFGCC, ADFDFGC
Not Slimps: ABC, ABAH, DFGC, ABABAHC, SLIMP, ADGC
Slurpys: AHDFG, ADFGCDFFFFFG, ABAEFGCCDFEFFFFFG
Not Slurpys: AHDFGA, DFGAH, ABABCC