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.
//package Code;
import java.io.*;
import java.util.*;
import java.math.*;
import java.text.*;
import java.time.*;
import java.util.*;

public class Code {
    
    public static long Query(long M) {
        if (M==0) return 0;
        long x=1,ans=0;
        for (int i=0; i<=1000; i++) {
            if (i>0 && x>M/3) return ans; 
            if (i>0) x=x*3;
            long y=x;
            for (int j=0; j<=1000; j++) {
                if (j>0 && y>M/2) break;
                if (j>0) y=y*2;
                ans++;
            }
        }
        return ans;
    }
    
    public static void main(String[] args) {
        //file_put();
        Scanner cin=new Scanner(System.in);
        long l=cin.nextInt(),r=cin.nextInt();
        
        System.out.println(Query(r)-Query(l-1));
    }
    
    public static void file_put() {
        try{
            System.setIn(new BufferedInputStream(new FileInputStream("D:\\计算机程序设计作业\\程序生成文件\\作业\\java_code\\java_code\\java_code\\filename.in")));
            System.setOut(new PrintStream(new FileOutputStream("D:\\计算机程序设计作业\\程序生成文件\\作业\\java_code\\java_code\\java_code\\filename.out")));
        } catch (FileNotFoundException ex) {}
    }
    
}
