How would I be able to improve the speed of this monty hall program, interestingly, the same code written using BBC BASIC for Windows completes the task in half the time of the Python code.
Python Code:
import random
t = 10000001
j = 0
k = 0
for a in range(1, t):
p = int(random.random() * 3) + 1
g = int(random.random() * 3) + 1
if p == g:
r = int(random.random() * 2) + 1
if p == 1:
r += 1
if p == 2 and r == 2:
r = 3
else:
r = p ^ g
s = g
f = g ^ r
if s == p:
j = j + 1
if f == p:
k = k + 1
print(f"After a total of {t - 1} trials,")
print(f"The 'sticker' won {j} times ({int(j/t*100)}%)")
print(f"The 'swapper' won {k} times ({int(k/t*100)}%)")
BBC BASIC for Windows code
T% = 10000000
for A% = 1 to T%
P% = rnd(3)
G% = rnd(3)
if P% = G% then
R% = rnd(2)
if P% = 1 then R% += 1
if P% = 2 and R% = 2 then R% = 3
else
R% = P% eor G%
endif
S% = G%
F% = G% eor R%
if S% = P% then J% = J% + 1
if F% = P% then K% = K% + 1
next
print "After a total of ";T%;" trials,"
print "The 'sticker' won ";J%;" times (";int(J%/T%*100);"%)"
print "The 'swapper' won ";K%;" times (";int(K%/T%*100);"%)"