#arc088a. [arc088_a]Multiple Gift

[arc088_a]Multiple Gift

Problem Statement

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

  • AA consists of integers between XX and YY (inclusive).
  • For each 1leqileqA11\\leq i \\leq |A|-1, Ai+1A_{i+1} is a multiple of AiA_i and strictly greater than AiA_i.

Find the maximum possible length of the sequence.

Constraints

  • 1leqXleqYleq10181 \\leq X \\leq Y \\leq 10^{18}
  • All input values are integers.

Input

Input is given from Standard Input in the following format:

XX YY

Output

Print the maximum possible length of the sequence.


Sample Input 1

3 20

Sample Output 1

3

The sequence 3,6,183,6,18 satisfies the conditions.


Sample Input 2

25 100

Sample Output 2

3

Sample Input 3

314159265 358979323846264338

Sample Output 3

31