Simulates random walks of Mahjong Soul hanchan games.
Input rate of 4th place for Gold and Jade rooms. 3rd/2nd/1st = (1.0-last_rate)/3
Or input rate of 4th, 3rd, 2nd separated by spaces (no commas). 1st = 1.0-4th-3rd-2nd. Ex: "0.25 0.25 0.25"
FYI breakeven Jade 4th rates are: S3: 0.192 S2: 0.202 S1: 0.212 M3: 0.223 M2: 0.236 M1: 0.250