Find the minimum value of \(n\) that satisfies

- \((1):\) The first digit of \(n\) is \(1\).
- \((2):\) When we move the first digit of \(n\) to the last digit, the number we get will be \(3n\).

Details

- Let \(n = \overline{a_{k}a_{k-1}...a_{2}a_{1}}\) be the \(k\) digit number. The first digit is \(a_{k}\), and the last digit is \(a_{1}\).
- This problem is from Thailand POSN, which is held today. XD

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