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\(N\) is a positive integer with the property that if its last digit is taken and shifted to the first digit's place, the resulting number is \(2N\). Assuming that the leading digit of \(N\) cannot be zero, what is the minimum value of \(N\).

Note :

  1. Take number \(214\), taking the last digit and shifting to first digit's place would result in \(412\).

  2. Even if \(51 \times 2\) were \(105\), it would be an invalid answer as \(51\) should not be written as \(051\).

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