Problem:
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.

Sample Input 1

3 20

Sample Output 1

3

The sequence 3,6,18 satisfies the conditions.

Sample Input 2

25 100

Sample Output 2

3

Sample Input 3

314159265 358979323846264338

Sample Output 3

31

Solution in Ruby (2.3.3) (judge verdict: Accepted)

X, Y = gets.split.map(&:to_i)

cnt = 0
elem = X

loop {
    if elem <= Y then
        cnt += 1

        i = 2
        nextelem = elem
        loop {
            nextelem *= i
            if nextelem.to_s.split.map(&:to_i).inject(0){|s,n|s+=n} >= elem then
                elem = nextelem
                break
            end
            i += 1
        }

    else
        break
    end
}

puts cnt