Fact: If it rains, then the field is wet.

1. It rains
2. The field is not wet
3. The field is wet
4. It did not rain

Which one of the options given below is NOT logically possible, based on the given fact?

1. If $(iii)$, then $(iv)$.
2. If $(i)$, then $(iii)$.
3. If $(i)$ then $(ii)$.
4. If $(ii)$, then $(iv)$.