hard-and-fast vs strict

hard-and-fast and strict both are adjectives.

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

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

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