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).

输入描述:

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.

输出描述:

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

备注:

In the first sample periodic numbers are 3, 7 and 10.In the second sample periodic numbers are 31 and 36.