{"raw_statement":[{"iden":"problem statement","content":"You are parking at a parking lot. You can choose from the following two fee plans:\n\n*   Plan $1$: The fee will be $A×T$ yen (the currency of Japan) when you park for $T$ hours.\n*   Plan $2$: The fee will be $B$ yen, regardless of the duration.\n\nFind the minimum fee when you park for $N$ hours."},{"iden":"constraints","content":"*   $1≤N≤20$\n*   $1≤A≤100$\n*   $1≤B≤2000$\n*   All input values are integers."},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$N$ $A$ $B$"},{"iden":"sample input 1","content":"7 17 120"},{"iden":"sample output 1","content":"119\n\n*   If you choose Plan $1$, the fee will be $7×17=119$ yen.\n*   If you choose Plan $2$, the fee will be $120$ yen.\n\nThus, the minimum fee is $119$ yen."},{"iden":"sample input 2","content":"5 20 100"},{"iden":"sample output 2","content":"100\n\nThe fee might be the same in the two plans."},{"iden":"sample input 3","content":"6 18 100"},{"iden":"sample output 3","content":"100"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}