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All valid SSNs can be described as followed:
- A set of number in the format AAA-GG-SSSS (Area, Group, Serial)
- AAA no greater than 899
- GG no greater than 99
- SSSS no greater than 9999
- No set where all numbers are zero
- 000-##-####
- ###-00-####
- ###-##-0000
- Does not start with 666