'Tis the season!

I am thinking of some number \(n\).

On subtracting the sum of digits of number \(n\) from \(n\), I get some number \(s\).

Here are the digits of \(s\) (in no specific order) -

\[1, 0, 1, 7, 7, 2, 6, 9, 7, 7\]

However, one digit is missing. Which digit is missing?

Details and Assumptions

  • Sum of digit refers to the digital sum of a number. For eg, sum of digits of 1997 is \(1 + 9 + 9 + 7 = 26\).

  • \(s = n - \text{sum of digits of n}\)

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