19. Justify whether the conclusion is a logical consequence of the following premises: (1) (a) Premise 1: If it rains, Ram brings his umbrella. (b) Premise 2: If Ram brings an umbrella, he does not get wet. (c) Premise 3: If it does not rain, Ram does not get wet. (d) Conclusion: Ram does not get wet. 20. Let A={1,2,3,4} and R and S are two relations represented by the Figure I and Figure 2. Compute the transitive closure of RUS using warshall's algorithm and draw the digraph for the same. (2) 2 0001 0000 0100 0010 Figure 1: Matrix for the Relation R 1100 0100 0010 0101 Figure 2: Matrix for the Relation S