31 lines
925 B
Python

#!/usr/bin/python
# It can be seen that the number, 125874, and its double, 251748, contain exactly the same digits, but in a different order.
#
# Find the smallest positive integer, x, such that 2x, 3x, 4x, 5x, and 6x, contain the same digits.
from projecteuler import timing
@timing
def p052() -> None:
i = 1
# Brute force approach, try every integer number until the desired one is found.
while True:
if ''.join(sorted(str(i))) == ''.join(sorted(str(2*i))) and\
''.join(sorted(str(i))) == ''.join(sorted(str(3*i))) and\
''.join(sorted(str(i))) == ''.join(sorted(str(4*i))) and\
''.join(sorted(str(i))) == ''.join(sorted(str(5*i))) and\
''.join(sorted(str(i))) == ''.join(sorted(str(6*i))):
break
i = i + 1
print('Project Euler, Problem 52')
print(f'Answer: {i}')
if __name__ == '__main__':
p052()