Incomplete Book

An author is writing a series of novels. The first book took $k$ days, and the writing got slower with every book after that. To be precise, if the $i$-th book took $\ell$ days, the $(i+1)$-th book takes $2\ell$ days.

The author dies $d$ days after starting the first book. A book counts as finished if the day it is completed is not later than day $d$. What is the largest number of books the author can finish?

One line holds two integers $k$ and $d$ separated by a space. $k$ is the number of days the first book takes ($1 \le k \le 365$), and $d$ is the number of days between the start of the first book and the author's death ($k \le d \le 10^9$).

Print the largest number of books the author can finish, on one line.