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 for S3-M1 are: 0.192 0.202 0.212 0.223 0.236 0.250