A non-empty string s is called binary, if it consists only of characters "0" and "1". Let's number the characters of binary string s from 1 to the string's length and let's denote the i-th character in string s as s_i.

Binary string s with length n is periodical, if there is an integer 1 ≤ k < n such that:

k is a divisor of number n
for all 1 ≤ i ≤ n - k, the following condition fulfills: s_i = s_i + k

For example, binary strings "101010" and "11" are periodical and "10" and "10010" are not.

A positive integer x is periodical, if its binary representation (without leading zeroes) is a periodic string.

Your task is to calculate, how many periodic numbers are in the interval from l to r (both ends are included).

Input

The single input line contains two integers l and r (1 ≤ l ≤ r ≤ 10¹⁸). The numbers are separated by a space.

Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.

Output

Print a single integer, showing how many periodic numbers are in the interval from l to r (both ends are included).

Note

In the first sample periodic numbers are 3, 7 and 10.

In the second sample periodic numbers are 31 and 36.

Periodical Numbers

Examples