# simulate playing table racing game with two different dice
# An ordinary dice with values 1-6 and a dice with values 2, 4,
# 8, 16, 32

# Players start at position 1. The board has 52 positions. Position
# 52 is the goal, but if the player does not land on the exact position,
# has to go another round. 

# If player lands on positions 3, 11, 15, 25, 27, 38, 43 and 48, has to 
# go forward or back a given amount as follows:
# 3 --> +7
# 11 --> +8
# 15 --> +1
# 25 --> +5
# 27 --> +5
# 38 --> -6
# 43 --> +2
# 48 --> +1

# imports
import random

# create a function to advance player from current position to next
# position taking  into account extra forward or backward movements

def advance(current_position, dice_count):
	
	landing_place = (current_position + dice_count) % 52
	
	if landing_place == 3:
		next_position = 10
	elif landing_place == 11:
		next_position = 19
	elif landing_place == 15:
		next_position = 16
	elif landing_place == 25:
		next_position = 30
	elif landing_place == 27:
		next_position = 21
	elif landing_place == 38:
		next_position = 34
	elif landing_place == 43:
		next_position = 45
	elif landing_place == 48:
		next_position = 49
	else:
		next_position = landing_place
		
	return next_position

# define functions to trow dice
def throw_ord_dice ():
	return random.choice([1, 2, 3, 4, 5, 6])
	
def throw_exp_dice ():
	return random.choice([2, 4, 8, 16, 32, 64])
	
	
# define function to simulate game between two players. Returns
# 'ordinary' or 'exponential' according to which player wins
# returns 'undecided' if the game does not end after 1000 turns

def play_game():
	position_ord = 0
	position_exp = 0
	turns = 0
	
	while (turns < 1000 and position_ord != 0 and position_exp !=0) or turns ==0:
		turns +=1
		position_ord = advance( position_ord, throw_ord_dice())
		position_exp = advance( position_exp, throw_exp_dice())
	
	if position_ord != 0 and position_exp !=0:
		return 'undecided'
	elif position_ord == 0:
		return 'ordinary'
	else:
		return 'exponential'
		
		
# run the simulation 100000 times and print the results

if __name__ == '__main__':
	
	# store results for ordinary dice and exponential dice
	wins = { 'ordinary': 0, 'exponential': 0, 'undecided': 0}
	
	# play game
	for _ in range(100000):
		wins[play_game()] += 1
	
	# print results
	print (wins)