Which of these are true about hash functions? $($Select all that apply$)$

Hash functions allow any size input and produce a fixed number of hash.

If hash values of two files are the same, we are $100\%$ sure that they file.

Hashes can be used to detect a change in a file.

A key is needed to decrypt a hash value into the original message.

Hash functions allow a fixed bit input and produce arbitrary length h