import itertools
from collections import Counter
 
def euler_52():
    for i in itertools.count(1):
        nums = [str(i * j) for j in range(1, 7)]
        s = frozenset(nums[0])
        sall = set()
        sall.update(*nums)
        if sall == s:
            c = Counter(nums[0])
            # double-check since set will hide frequencies
            if all(c == Counter(n) for n in nums[1:]):
                yield i, nums
 
for r in  euler_52():
    print r

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