strict vs hard-and-fast

strict and hard-and-fast both are adjectives.

Word	Noun	Adjective	Verb	Adverb
strict	No	Yes	No	No
hard-and-fast	No	Yes	No	No

As adjectives, strict and hard-and-fast are synonyms defined as:

strict (adjective)	hard-and-fast (adjective)
characterized by strictness, severity, or restraint	(of rules) stringently enforced
severe and unremitting in making demands
rigidly accurate; allowing no deviation from a standard
incapable of compromise or flexibility
(of rules) stringently enforced