{"raw_statement":[{"iden":"problem statement","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?"},{"iden":"constraints","content":"*   $101 \\le X \\le 10^{18}$\n*   All values in input are integers."},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$X$"},{"iden":"sample input 1","content":"103"},{"iden":"sample output 1","content":"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."},{"iden":"sample input 2","content":"1000000000000000000"},{"iden":"sample output 2","content":"3760"},{"iden":"sample input 3","content":"1333333333"},{"iden":"sample output 3","content":"1706"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}