Google foobar gearing_up_for_destruction

Question

I was doing the google foobar challenge but ran out of time on the following challenge i am trying to see what i did wrong.

Challenge

As

Answer 1

My python code uses fairly basic operations to get things done without brute-forcing it. However I'm lazy and didn't really comment, so you're gonna have to figure it out yourself. It passed the foobar solution thing, so it definitely works.

def answer(pegs):
distances = [pegs[x+1]-pegs[x] for x in range(len(pegs)-1)]
x = 0 
for i in distances: #gets d_(n)-d_(n-1)+d_(n-2)...+-d_(1)
    x = i - x
#this tests if firstGearRadius is positive or negative
if len(distances)%2 == 0: #if it's positive
    solution =  [x*-2,1] 
elif len(distances)%2 == 1: #if it's negative
    if x*2 % 3 == 0: #if the numerator is divisible by 3
        solution = [x*2/3,1]
    else:
        solution = [x*2,3]
#finds sizes of the gears
gearSizes = [float(solution[0])/float(solution[1])]
x = gearSizes[0]
for i in distances:
    x = i - x
    gearSizes.append(x)
if any([True for x in gearSizes if x<=1]): #gears must be at least 1 unit radius
    return [-1,-1]
else:
    return solution