P16297 [Lanqiao Cup 2026 NOI Qualifier Python C Group] The Naughty Orange Cat.

{{background}}

Cat owner Xiao Lan prepared $2026041221046202$ reward blind boxes for the cats at home, lined up in a long row, and numbered them in order as $1, 2, 3, \dots$. For better looks, Xiao Lan uses single-digit number stickers (that is, small stickers printed with digits $0$ to $9$) to form these numbers. For example: - To label blind box No. $8$, it takes $1$ sticker (one $8$). - To label blind box No. $12$, it takes $2$ stickers (one $1$ and one $2$). - To label blind box No. $104$, it takes $3$ stickers ($1$, $0$, and $4$). Just while the owner turned around to pour cat food, the naughty orange cat bit and ruined the first 2026 blind boxes in the line (that is, the blind boxes numbered from $1$ to $2026$), and the stickers on those blind boxes were destroyed as well. Looking at the remaining blind boxes, the owner sighed. Now, please help the owner calculate: on the remaining intact blind boxes (that is, the blind boxes numbered from $2027$ to $2026041221046202$), how many single-digit number stickers are still kept in total?

{{formatI}}

This is an output-only fill-in-the-blank problem. You only need to compute the result and submit it. The result is an integer. When submitting the answer, only fill in this integer. Any extra content will make you get no points.

{{hint}} Translated by ChatGPT 5