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import random
def factorial(n):
result = 1
for i in range(1, n + 1):
result *= i
return result
def travel(a, b):
if a == b:
return 1
ax, ay = a
bx, by = b
if ax > bx or ay > by:
return 0
return sum([travel((ax + 1, ay), b), travel((ax, ay + 1), b)])
def travel_compute(a, b):
bx, by = b
return int(factorial(bx + by) / (factorial(bx) * factorial(by)))
a = (0, 0)
b = (random.randint(1, 10), random.randint(1, 10))
print("Travelling to {}, {}".format(b[0], b[1]))
print(travel(a, b))
print(travel_compute(a, b))
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