# Food Chain Magnate Map Balancing Statistics

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To create a "balanced" layout, I generated over 8,000 random maps and looked at various map characteristics (number of houses, size of neighborhood, etc...) to see where the average of their values lay. To do this, I took all of the values generated and determined the full range of each. Then I used stastical quartiles to ascertain the middle 50% of the values. This subset (the 2nd and 3rd quartiles) is the basis for defining and Ideal Range for each characteristic. I created ranges for each player number due to the map size differences. I have defined a "balanced map" as one where all of its characteristics fall within the specified range. Below I have outlined each map characteristic I used and determined an Ideal Range.
1. The characteristic name and description. Some characteristics are for the entire map, some characteristics are for an individual road system or neighborhood
2. A graph of the values randomly generated (by player count)
3. The range in which 50% or more of the values fall
Definitions
• Map - This is the randomly chosen set of tiles (including random rotations) that contain the houses, roads, drinks, neighborhoods, and spaces.
• Map Space - Each map tile is broken down into 25 map spaces which could be a road, a house (a house contains 4 map spaces), a single drink location, or simply an empty white space.
• Starting House - A Starting House is one of the printed houses on a map tile. Each one has a number assigned to it which can be used to uniquely identify it.
• Drink Location - A Drink Location (or Drink Spot) is one of the printed drink icons on a map tile. It could be Lemonade, Beer, or Soda. Each one can be uniquely identifed by its drink type and the Tile Id.
• Road System - A Road System (or Path System) is an independent set of road segments that connect across tiles that can be traveled along when delivering food or collecting drinks. A Map will usually contain multiple independent road systems that cannot be traveled between because they do not connect in any way.
• Neighborhood - A Neighborhood is an independent set of Starting Houses, drinks spots, and white spaces that is completely enclosed by one or more Road Systems and/or the edge of the map. Think of it as the area that would be affected by single Mail Marking Campaign.