In a "keep-fit” gymnasium class, there are fifteen females enrolled in a weight-loss program. They all have been grouped in any one of the five weight-groups $W_1,W_2,W_3,W_4$ or $W_5$One instructor is assigned to one weight-group only. A, B, C, and D belong to the same weight-group. A and E are in one weight-group, F and G are also in one weight-group. E, H, G, I, and J belong to different weight-groups. K cannot be with J, and L cannot be with H. M cannot be with H, K, or J. D is in $W_1$ and K is in $W_4$with I. N and O cannot be with F, but are in a weight-group with total membership of four. No weight-group can have more than five or less that one member. P, Q, R, S, and T are instructors of weight-groups with membership sizes 5, 4, 3, 2 and 1, respectively. Who is the instructor of H? /p>