Fact: If it rains, then the field is wet.
Read the following statements:
- It rains
- The field is not wet
- The field is wet
- It did not rain
Which one of the options given below is $\text{NOT}$ logically possible, based on the given fact?
- If $\text{(iii)}$, then $\text{(iv)}$.
- If $\text{(i)}$, then $\text{(iii)}$.
- If $\text{(i)}$, then $\text{(ii)}$.
- If $\text{(ii)}$, then $\text{(iv)}$.