A positive integer is called a 2-3-integer, if it is equal to 2^{x}·3^{y} 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 ≤ 2·10^9).

-----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.