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.
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The solution is well-known; it is the repeating sequence in the decimal expansions of the multiples of one-seventh between 0 and 1.