Using letters \(H, K, A\) for the component statements, translate the following compound statements into symbolic notation.
a. If the horse is fresh, then the knight will win.
b. The knight will win only if the horse is fresh and the armor is strong.
c. A fresh horse is a necessary condition for the knight to win.
d. The knight will win if and only if the armor is strong.
e. A sufficient condition for the knight to win is that the armor is strong or the horse is fresh.