Construct a groupoid that is (i) neither a quasigroup nor a semigroup, (ii) a quasigroup that is not a loop, (iii) a semigroup that is not a monoid, (iv) a loop that is not a group, (v) a monoid that is not a group. Always give a multiplication table. Try to make the examples as small as possible. Hint: the smallest loop that is not a group has 5 elements, and it is therefore a bit harder to find—give it a try!