def problem_45():
tris = utils.triangulars()
desired_index = 2
current_index = 0
for num in tris:
if utils.is_hexagonal(num) and utils.is_pentagonal(num):
if current_index == desired_index:
return num
current_index += 1
def problem_45():
tris = utils.triangulars()
desired_index = 2
current_index = 0
for num in tris:
if utils.is_hexagonal(num) and utils.is_pentagonal(num):
if current_index == desired_index:
return num
current_index += 1
def problem_44(): #TOO slow
starting_size = 10000
pentags = utils.pentagonals()
p = [pentags.next() for i in xrange(starting_size)]
p_set = set(p)
combs = itertools.combinations(p, 2)
diffs = []
for c in combs:
if c[0] + c[1] > p[-1]:
if utils.is_pentagonal(c[0] + c[1]) and utils.is_pentagonal(abs(c[1] - c[0])):
diffs.append(abs(c[0]-c[1]))
else:
if (c[0] + c[1]) in p_set and abs(c[1] - c[0]) in p_set:
diffs.append(abs(c[0] - c[1]))
return diffs
def problem_44(): #TOO slow
starting_size = 10000
pentags = utils.pentagonals()
p = [pentags.next() for i in xrange(starting_size)]
p_set = set(p)
combs = itertools.combinations(p, 2)
diffs = []
for c in combs:
if c[0] + c[1] > p[-1]:
if utils.is_pentagonal(c[0] + c[1]) and utils.is_pentagonal(
abs(c[1] - c[0])):
diffs.append(abs(c[0] - c[1]))
else:
if (c[0] + c[1]) in p_set and abs(c[1] - c[0]) in p_set:
diffs.append(abs(c[0] - c[1]))
return diffs
