There are seven recruits in a university: F, G, H, I, W, X and Y, of which one is a signal soldier, three are engineers, and the other three are transport soldiers  The conditions for the distribution of arms for recruits are as follows: H and Y must be assigned to the same arms  F and G cannot be assigned to the same arms  If X is assigned as a transport soldier, W is assigned as an engineer
F was assigned to be an engineer
H and W are assigned as transport soldiers