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:
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).
The single input line contains two integers l and r (1 ≤ l ≤ r ≤ 10^{18}). 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.
Print a single integer, showing how many periodic numbers are in the interval from l to r (both ends are included).
1 10
3
25 38
2
In the first sample periodic numbers are 3, 7 and 10.
In the second sample periodic numbers are 31 and 36.
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