A positive integer is called a 2-3-integer, if it is equal to 2x·3y for some non-negative integers x and y. In other words, these integers are such integers that only have 2 and 3 among their prime divisors. For example, integers 1, 6, 9, 16 and 108 — are 2-3 integers, while 5, 10, 21 and 120 are not.

Print the number of 2-3-integers on the given segment [l, r], i. e. the number of sich 2-3-integers t that l ≤ t ≤ r.

Input

The only line contains two integers l and r (1 ≤ l ≤ r ≤ 2·109).

Output

Print a single integer the number of 2-3-integers on the segment [l, r].

Examples

Input

1 10


Output

7


Input

100 200


Output

5


Input

1 2000000000


Output

326

Note

In the first example the 2-3-integers are 1, 2, 3, 4, 6, 8 and 9.

In the second example the 2-3-integers are 108, 128, 144, 162 and 192.
import java.util.Scanner;

/**
 * created at 18/04/20 6:11 PM
 */
public class P926A {
  public static void main(String[] args) {
    Scanner input = new Scanner(System.in);

    int l = input.nextInt();
    int r = input.nextInt();

    System.out.println(get(r) - get(l - 1));
  }

  private static int get(long x) {
    if (x <= 0) {
      return 0;
    }

    int cnt = 0;

    for (long i = 1; i <= x; i *= 2) {
      for (long j = 1; j <= x; j *= 3) {
        if (i * j <= x) {
          cnt++;
        }
      }
    }

    return cnt;
  }
}
