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Scenario size

Scenarios vary in number of turns, units, and hexes constituting the map.

A raw size factor is defined as follows

raw size scenario function
number of turns multiplied by the sum of both sides units in the scenario

size scenario function
[raw size] 1/3 / 20

The scenario size is taken to be a moderatly increasing function (cubic root) of the raw size factor.

20 is a normalizing factor, so that the median scenario has the size 1.