Given a positive integer K
, you need to find the length of the smallest positive integer N
such that N
is divisible by K
, and N
only contains the digit 1
.
Return the length of N
. If there is no such N
, return -1.
Note: N
may not fit in a 64-bit signed integer.
Example 1:
Input: K = 1 Output: 1 Explanation: The smallest answer is N = 1, which has length 1.
Example 2:
Input: K = 2 Output: -1 Explanation: There is no such positive integer N divisible by 2.
Example 3:
Input: K = 3 Output: 3 Explanation: The smallest answer is N = 111, which has length 3.
Constraints:
1 <= K <= 105