We$$ve been asked to help build a new medieval adventure game, Summer Is Coming. We$$re trying to figure out the gameplay mechanics, so we$$re starting with representations for travel around the game world. Players can live in three types of housing: a Hut, an Inn, and a Castle.

A Hut has a capacity and the current count of its population. The population must be less than the capacity.

An Inn has a name, capacity and the current count of its population as well as the number of stalls in its stable. The population must be less than the capacity.

A Castle has a name, the family$-$name of the owners, the current count of its population as well as the number of carriages it can hold in its carriage$-$house.

There are $2$ types of transportation in this game:

Horse

Carriage

Each type of transportation should have a from and a to housing. Horses also have a name and a color $($which you may represent using the color$$s name$).$ They can only go to an inn if there is room in the stables, but they can go to any hut or castle.

Carriages can only carry a limited supply of tonnage and only travel from Inns to Castles or vice versa. When they go to a Castle there must be room for them in the carriage house.

Define six examples of housing, including:

hovel: Capacity $5,$ population $1$

winterfell: Named "Winterfell", family name "Stark", population $500,$ can hold $6$ carriages

crossroads: Named "Inn At The Crossroads", capacity $40,$ population $20,12$ stalls

The others can be whatever you wish.

Define four types of travel, two of each kind.