Wouldn't it be possible to reduce the number of input combinations to all combinations where the proportion of money for each player is the same? For example (1

Wouldn't it be possible to reduce the number of input combinations to all combinations where the proportion of money for each player is the same? For example (1,4,6) should give the same result as (2,8,12), but with different scaling-factor. Find all random games for those proportions which end after 12 turns, then change the scaling factor to make it less than 255?