{"problem":{"name":"To Infinity","description":{"content":"Mr. Infinity has a string $S$ consisting of digits from `1` to `9`. Each time the date changes, this string changes as follows: *   Each occurrence of `2` in $S$ is replaced with `22`. Similarly, eac","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc106_c"},"statements":[{"statement_type":"Markdown","content":"Mr. Infinity has a string $S$ consisting of digits from `1` to `9`. Each time the date changes, this string changes as follows:\n\n*   Each occurrence of `2` in $S$ is replaced with `22`. Similarly, each `3` becomes `333`, `4` becomes `4444`, `5` becomes `55555`, `6` becomes `666666`, `7` becomes `7777777`, `8` becomes `88888888` and `9` becomes `999999999`. `1` remains as `1`.\n\nFor example, if $S$ is `1324`, it becomes `1333224444` the next day, and it becomes `133333333322224444444444444444` the day after next. You are interested in what the string looks like after $5 \\times 10^{15}$ days. What is the $K$\\-th character from the left in the string after $5 \\times 10^{15}$ days?\n\n## Constraints\n\n*   $S$ is a string of length between $1$ and $100$ (inclusive).\n*   $K$ is an integer between $1$ and $10^{18}$ (inclusive).\n*   The length of the string after $5 \\times 10^{15}$ days is at least $K$.\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$S$\n$K$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc106_c","tags":[],"sample_group":[["1214\n4","2\n\nThe string $S$ changes as follows:\n\n*   Now: `1214`\n*   After one day: `12214444`\n*   After two days: `1222214444444444444444`\n*   After three days: `12222222214444444444444444444444444444444444444444444444444444444444444444`\n\nThe first five characters in the string after $5 \\times 10^{15}$ days is `12222`. As $K=4$, we should print the fourth character, `2`."],["3\n157","3\n\nThe initial string is `3`. The string after $5 \\times 10^{15}$ days consists only of `3`."],["299792458\n9460730472580800","2"]],"created_at":"2026-03-03 11:01:13"}}