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C - Multiple Gift

Score : $300$ points

Problem Statement

As a token of his gratitude, Takahashi has decided to give his mother an integer sequence. The sequence $A$ needs to satisfy the conditions below:

• $A$ consists of integers between $X$ and $Y$ (inclusive).
• For each $1\leq i \leq |A|-1$, $A_{i+1}$ is a multiple of $A_i$ and strictly greater than $A_i$.

Find the maximum possible length of the sequence.

Constraints

• $1 \leq X \leq Y \leq 10^{18}$
• All input values are integers.

Input

Input is given from Standard Input in the following format:

$X$ $Y$

Output

Print the maximum possible length of the sequence.

3 20

3

The sequence $3,6,18$ satisfies the conditions.

25 100

3

314159265 358979323846264338

31