Kinda familiar, isn't it?

Number Theory Level 4

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 \(3n\).


  • 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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