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 Rust (1.42.0) (judge verdict: Accepted)

fn main() {
  
  let xy = read::<u64>();
  let (mut x, y) = (xy[0], xy[1]);
  let mut cnt = 1;
  loop {
    x *= 2;
    if x <= y {
      cnt += 1;
    } else {
      break;
    }
  }
  println!("{}", cnt);
}

fn read<T: std::str::FromStr>() -> Vec<T> {
  gets().split_whitespace().filter_map(|s|s.parse().ok()).collect()
}

fn gets() -> String {
  let mut line = String::new();
  std::io::stdin().read_line(&mut line).ok();
  line.trim().to_string()
}