문제<\/h2>
In a distant magical kingdom, each wizard was assigned a fixed monthly salary upon starting their service.<\/p>
However, there was a problem: while the wizard diligently cast spells, prices increased over the year due to inflation.<\/p>
To curb the rapid rise in prices, the wise king announced on the first day of the first month of the year the final annual inflation rate $p<\/mi><\/mrow>p<\/math><\/span><\/span> p<\/span><\/span><\/span><\/span> and allowed prices to be raised only once a month: exactly one day before the wizards' salaries were paid. The wizards' salaries are paid on the last day of each month.<\/p> Moreover, for convenience, he established that there are only ten months in a year, and each month has thirty days. Each month, prices were to rise by exactly p<\/mi>\/<\/mi>10<\/mn><\/mrow>p \/ 10<\/math><\/span><\/span> p<\/span> \/10<\/span><\/span><\/span><\/span> percent of the price of goods at the beginning<\/strong> of the year. Thus, the cost of any good increased by exactly p<\/mi><\/mrow>p<\/math><\/span><\/span> p<\/span><\/span><\/span><\/span> percent over the year.<\/p> The current salary payment system<\/em> is structured as follows. On the first day of the first month of the year, a salary of n<\/mi><\/mrow>n<\/math><\/span><\/span> n<\/span><\/span><\/span><\/span> gold is assigned, which they will receive at the end of each month of the year. Additionally, salaries are indexed each year: if the monthly salary in a given year is n<\/mi><\/mrow>n<\/math><\/span><\/span> n<\/span><\/span><\/span><\/span> gold, and the inflation rate is$

Inflation