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:

• Master 1: 0.250
• Master 2: 0.236
• Master 3: 0.223
• Saint 1: 0.212
• Saint 2: 0.202
• Saint 3: 0.192