Consider the following set of relations, which describe coffee and coffee drinkers:

DRINKS $($PERSON$,$ COFFEE$)$

HAS$\_$BEAN $($COFFEE$,$ BEAN$\_$NAME$)$

BEAN $($BEAN$\_$NAME, FROM$\_$LOCATION$)$

The relation DRINKS tells us which people drink which coffees. People can drink more than one coffee. The HAS$\_$BEAN relation tells us what coffee beans go into each type of coffee. A coffee can have many beans. And the BEAN relation tells us which location each coffee bean comes from; a bean can grow in multiple relations.

Write Tuple relational calculus expressions to compute each of the following. Again, you can abbreviate attribute names. Each is worth $1/2$ point, except for $2($c$),$ which is worth $1/2$ point.

$($a$)$ Which locations contribute a bean to a coffee consumed by $$Chris$?$

$($b$)$ Which people don't drink any of the coffees that are consumed by "Chris"?

$($c$)$ Which people drink a set of coffees that together contain all of the beans from $$Hawaii$?$