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.

Examples

Input

3 20

Output

3

Input

25 100

Output

3

Input

314159265 358979323846264338

Output

31

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