{"problem":{"name":"1%","description":{"content":"Takahashi has a deposit of $100$ yen (the currency of Japan) in AtCoder Bank. The bank pays an annual interest rate of $1$ % compounded annually. (A fraction of less than one yen is discarded.) Assumi","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc165_b"},"statements":[{"statement_type":"Markdown","content":"Takahashi has a deposit of $100$ yen (the currency of Japan) in AtCoder Bank.\nThe bank pays an annual interest rate of $1$ % compounded annually. (A fraction of less than one yen is discarded.)\nAssuming that nothing other than the interest affects Takahashi's balance, in how many years does the balance reach $X$ yen or above for the first time?\n\n## Constraints\n\n*   $101 \\le X \\le 10^{18}$\n*   All values in input are integers.\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":"abc165_b","tags":[],"sample_group":[["103","3\n\n*   The balance after one year is $101$ yen.\n*   The balance after two years is $102$ yen.\n*   The balance after three years is $103$ yen.\n\nThus, it takes three years for the balance to reach $103$ yen or above."],["1000000000000000000","3760"],["1333333333","1706"]],"created_at":"2026-03-03 11:01:13"}}