{"problem":{"name":"Arithmetic Number","description":{"content":"Let us call a positive integer $n$ that satisfies the following condition an **arithmetic number**. *   Let $d_i$ be the $i$\\-th digit of $n$ from the top (when $n$ is written in base $10$ without un","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc234_e"},"statements":[{"statement_type":"Markdown","content":"Let us call a positive integer $n$ that satisfies the following condition an **arithmetic number**.\n\n*   Let $d_i$ be the $i$\\-th digit of $n$ from the top (when $n$ is written in base $10$ without unnecessary leading zeros.) Then, $(d_2-d_1)=(d_3-d_2)=\\dots=(d_k-d_{k-1})$ holds, where $k$ is the number of digits in $n$.\n    *   This condition can be rephrased into the sequence $(d_1,d_2,\\dots,d_k)$ being arithmetic.\n    *   If $n$ is a $1$\\-digit integer, it is assumed to be an arithmetic number.\n\nFor example, $234,369,86420,17,95,8,11,777$ are arithmetic numbers, while $751,919,2022,246810,2356$ are not.\nFind the smallest arithmetic number not less than $X$.\n\n## Constraints\n\n*   $X$ is an integer between $1$ and $10^{17}$ (inclusive).\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$X$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc234_e","tags":[],"sample_group":[["152","159\n\nThe smallest arithmetic number not less than $152$ is $159$."],["88","88\n\n$X$ itself may be an arithmetic number."],["8989898989","9876543210"]],"created_at":"2026-03-03 11:01:14"}}