Tools of Algebra (1)

Which stament(s) below is/are true?

$\boxed{1}$ .- Every Euclidean domain is an Ideal principal domain and every Ideal principal domain is an Unique factorization domain

$\boxed{2}$ .- Every Ideal principal domain is an Unique Factorization domain and every Unique Factorization domain is an Euclidean domain

$\boxed{3}$ .- Every Unique Factorization domain is an Ideal principal domain and every Ideal principal domain is an Euclidean domain

Bonus .- Give one example or one counter-example in all cases. Of course, if some statement(s) is/are true it will be necessary one wiki for a whole proof. For this reason, I consider sufficent one example or counter- example in every case for the proof.