def pandigital_concatenated_multiples():
result_list = []
# 4-digit + 5-digit = 9-digit
for n in range(9876, 5123, -1):
str_sum = str(n) + str(n*2)
if common.is_pandigital(str_sum, '123456789'):
result_list.append((int(str_sum), int(n), int(n*2)))
break # return just the largest 4-digit set
# 3-digit + 3-digit + 3-digit = 9-digit
for n in range(329, 123, -1):
str_sum = str(n) + str(n*2) + str(n*3)
if common.is_pandigital(str_sum, '123456789'):
result_list.append((int(str_sum), int(n), int(n*2), int(n*3)))
break # return just the largest 3-digit set
# 1-digit + 2-digit + 2-digit + 2-digit + 2-digit = 9-digit
for n in range(9, 5, -1):
str_sum = str(n) + str(n*2) + str(n*3) + str(n*4) + str(n*5)
if common.is_pandigital(str_sum, '123456789'):
result_list.append((int(str_sum), int(n), int(n*2), int(n*3), int(n*4), int(n*5)))
break # return just the largest 1-digit set
return result_list
def test_is_pandigital_invalid():
"""Tests the is_pandigital function with invalid numbers"""
#: testing for numbers outside of the 9-10 digits range
assert is_pandigital(123, True) is False
assert is_pandigital(123, False) is False
assert is_pandigital(123456789010, False) is False
#: testing for zero
assert is_pandigital(0, True) is False
#: testing for repreating digits
assert is_pandigital(1234567899, True) is False
def solve():
products = set()
for p in xrange(10000):
for x in xrange(2, int(p**0.5)):
if p % x == 0 and is_pandigital('{}{}{}'.format(p, x, p / x)):
products.add(p)
return sum(products)
def max_pandigital_multiple(n):
result = 0
p = int(9 / n)
for i in range(10 ** (p - 1), 10 ** p):
s = ''.join(str(i * j) for j in range(1, n + 1))
if len(s) > 9:
break
if is_pandigital(s, 9) and int(s) > result:
result = int(s)
return result
def solve():
result = []
for x in xrange(1, 100000):
s = ''
for y in xrange(1, 11):
s += str(x * y)
if y > 1 and is_pandigital(s):
result.append(int(s))
return max(result)
def problem():
""" Attempt to solve the problem... """
print 'problem #41'
max_p = 0
for prime in primes:
if is_pandigital(prime):
if prime > max_p:
max_p = prime
print 'the largest n-digit pandigital number is %s' % max_p
def problem():
""" Attempt to solve the problem... """
print 'problem #38'
pandigitals = []
for n in xrange(1, 99999):
products = []
for i in xrange(1, 20):
products.append(str(n * i))
num = int(''.join(products))
if is_pandigital(num):
pandigitals.append(num)
print max(pandigitals)
def problem():
""" Attempt to solve the problem... """
print 'problem #32'
pandigital = {}
for a in xrange(1, 9999):
for b in xrange(1, 999):
p = a * b
if pandigital.get(p) is None:
m = '%d%d%d' % (a, b, p)
if is_pandigital(int(m), zero_full=False):
print m
pandigital[p] = 0
# Answer: 45228
# current 4943553
print 'the sum of 1-9 pandigitals is: %s' % str(sum(pandigital.keys()))
from common import is_pandigital, get_primes
if __name__ == "__main__":
"""8位和9位的数能被3整除，所以直接找从7位的开始找, 7位的直接从7开头的开始找"""
n = 10**6 * 8
PRIMES = set(get_primes(n))
while True:
if n in PRIMES and is_pandigital(n, 7):
break
n -= 1
print(n)
import math
from common import is_pandigital
if __name__ == "__main__":
maximum = 10 ** 10
n = 10000
s = set()
for i in range(1, int(math.sqrt(math.sqrt(maximum)))):
for j in range(i + 1, min(int(math.sqrt(maximum / i ** 2)), n)):
if is_pandigital(int(str(i) + str(j) + str(i * j)), 9):
s.add(i * j)
print(sum(s))
import math
from common import is_pandigital
if __name__ == "__main__":
maximum = 10**10
n = 10000
s = set()
for i in range(1, int(math.sqrt(math.sqrt(maximum)))):
for j in range(i + 1, min(int(math.sqrt(maximum / i**2)), n)):
if is_pandigital(int(str(i) + str(j) + str(i * j)), 9):
s.add(i * j)
print(sum(s))
def test_is_pandigital_none_value():
"""Tests the is_pandigital function with None value """
assert is_pandigital(None) is False
def test_is_pandigital_zerofill():
"""Tests valid zerofill pandigital numbers """
for number in NONZERO_PANDIGITAL_NUMBERS:
assert is_pandigital(number, False) is True
def test_is_pandigital_non_zerofill():
"""Tests valid non zerofill pandigital numbers"""
for number in ZEROFILL_PANDIGITAL_NUMBERS:
assert is_pandigital(number, True) is True
from common import is_pandigital, get_primes
if __name__ == "__main__":
"""8位和9位的数能被3整除，所以直接找从7位的开始找, 7位的直接从7开头的开始找"""
n = 10 ** 6 * 8
PRIMES = set(get_primes(n))
while True:
if n in PRIMES and is_pandigital(n, 7):
break
n -= 1
print(n)