So here's a full diagram of this game. We would call this an open grouping game, so we start by making three slots for each illness (because each illness could have all three). We put a box around any slot that must be filled, and because each illness needs "at least one" symptom, we put boxes all along the bottom row. From there, we go through the constraints:
1) Fill in H and S for illness J.
2) This means that K must have symptom F, and also that J can't have all three symptoms. We can thus X out the remaining slots for both J and K.
3) Pause on this constraint for now.
4) This means we need a second box on L, because K only has 1 symptom for sure.
5) This means that L can only have 2 symptoms, and N must have 1 symptom (because if they both had 2, there would be an overlap).
6) This means M must have all 3 symptoms.
Keep the remaining rules to the side, and you're set.
-t
