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.io.*;
import java.math.BigInteger;
import java.math.BigDecimal;
import java.util.*;

public class Main {
    public static void main(String args[]) throws IOException {
    	Scanner in = new Scanner(System.in);
		int a = in.nextInt();
		int b = in.nextInt();
		long now=1;
		int ans=0;
		for(int i=0;i<=32;i++){
		    long now2=now;
		    for (int j=0;j<=32;j++){
		        if (now2>2e9){
		            break;
		        }else{
		            if (now2>=a&&now2<=b){
		                ans++;
		            }
		        }
		        now2*=3;
		    }
		    now*=2;
		}
		System.out.print(ans);
    }
}