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k is a multiple of 2 or 5. If it is, return -1.remainder to 1 and length_N to 1.seen_remainders to track the remainders.k times:
a. If remainder is 0, return length_N as the length of n.
b. Calculate the new remainder by remainder * 10 + 1 modulo k.
c. Increment length_N by 1.
d. If the new remainder is already in seen_remainders, return -1.
e. Add the new remainder to seen_remainders.n, return -1.