def pandigital_product(list):
"""
>>> pandigital_product([3, 9, 1, 8, 6, 7, 2, 5, 4])
True
"""
for i in range(2, 9):
for j in range(1, i):
last = list[i:]
furst = list[:j]
second = list[j:i]
if int_from_digits(furst) * int_from_digits(second) == int_from_digits(last):
return int_from_digits(last)
return 0
def p043():
# well_they_gave_us_this_one = [1,4,0,6,3,5,7,2,8,9]
# test_answer = pandigital_substring_thing(well_they_gave_us_this_one)
# print(test_answer)
circle_to_nine = [i for i in range(0, 10)] # circle is the way kids say 0 now a days
pandigit_lists = [int_from_digits(i) for i in permutations(circle_to_nine) if pandigital_substring_thing(i)]
return sum(pandigit_lists)
def pandigital_substring_thing(pandigit_list):
if pandigit_list[0] == 0:
return False # leading 0 shouldnt count
else:
div_primes = [2, 3, 5, 7, 11, 13, 17]
for i in range(1, 8):
if int_from_digits(pandigit_list[i:i + 3]) % div_primes[i - 1] != 0:
return False
return True
def cubic_perms(n_perms):
cubed_dict = {}
for i in count(100):
ccc = int_from_digits(sorted(digits_list(i**3), reverse=True))
if ccc in cubed_dict:
cubed_dict[ccc].append(i)
if len(cubed_dict[ccc]) > n_perms - 1:
# print(cubed_dict[ccc])
return cubed_dict[ccc][0]**3
else:
cubed_dict.setdefault(ccc, []).append(i)
def is_circ_prime(n):
digist = [int(j) for j in digits_list(n)]
return all((is_prime(int_from_digits(i)) for i in rotations_gen(digist)))