def three_to_two(m):
cnt = 0
for d in range(3, m+1):
down = d/3 + 1
if d % 2 == 0:
up = d/2
else:
up = d/2 + 1
for n in range(down,up):
if mtools.gcd(n, d) == 1:
cnt = cnt + 1
return cnt
def normalize(e, d):
g = mtools.gcd(e, d)
return e/g, d/g
