Bank deposit

$S$ soums were put into a bank. Every month the amount on the account grows by $p$ percent (the interest is always charged on the current amount). After how many months does the amount become greater than twice the initial amount? Print the number of months and the amount at that moment.

A single line with two integers $S$ and $p$ ($1 \le S \le 10^6$, $1 \le p \le 20$).

A single line: the number of months (an integer) and the amount with exactly 2 digits after the decimal point.

Every month: $S \leftarrow S \cdot (1 + p / 100)$. The condition is greater than $2S$, not equal to it.

In the first example: $1000 \cdot 1.05^{15} \approx 2078.93$, while after months it is still — the answer is .