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.
#include <bits/stdc++.h>
using namespace std;
void setIO(string name = "") {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  if ((int)(name).size()) {
    freopen((name + ".in").c_str(), "r", stdin);
    freopen((name + ".out").c_str(), "w", stdout);
  }
}
long long gcd(long long a, long long b) { return b == 0 ? a : gcd(b, a % b); }
long long mcm(long long a, long long b) { return (a * b) / gcd(a, b); }
bool comp(long long a, long long b) { return a % b == 0; }
void solve() {
  long long l, r;
  cin >> l >> r;
  int c = 0;
  for (int i = 0; i <= 31; i++) {
    for (int j = 0; j <= 20; j++) {
      if (pow(2, i) * pow(3, j) >= l && pow(2, i) * pow(3, j) <= r) c++;
    }
  }
  cout << c << "\n";
}
int main() {
  setIO("");
  int t = 1;
  while (t--) solve();
  return 0;
}
