P15933 [TOPC 2021] Eatcoin

Eric developed a new algorithm to mine a cryptocurrency called Eatcoin. Since Eric’s algorithm is an evolutionary algorithm, its performance keeps improving. On the $d$-th day of the execution of Eric’s algorithm, it consumes $p$ Eatcoins and then produces $q \times d^5$ Eatcoins where $p$ and $q$ are positive constants. Eric wants to become a “duotrigintillionaire”. A duotrigintillionaire is a person who has at least $10^{99}$ Eatcoins. Eric plans to exploit his algorithm to achieve his goal. Eric’s algorithm can soon produce a massive amount of Eatcoins if he has enough Eatcoins. However, his algorithm cannot continue if he does not have $p$ Eatcoins when needed. Eric gives the values of $p$ and $q$ to you. Please write a program to help Eric to compute two numbers $x$ and $y$ defined as follows. - $x$ is the minimum number of Eatcoins required to execute Eric’s algorithm to make him a duotrigintillionaire. - $y$ is the minimum number of days required to make Eric a duotrigintillionaire if Eric has exactly $x$ Eatcoins before executing his algorithm.

Two positive integers $p$ and $q$ are given in one line and separated by a space.

Output two lines. Print $x$ on the first line and $y$ on the second line.

- $1 \leq q \leq p \leq 10^{18}$