Problem Statement

Given integers $L$ and $L,R\\ (L \\le R)$, find the number of pairs $(x,y)$ of integers satisfying all of the conditions below:

• $L \\le x,y \\le R$
• Let $g$ be the greatest common divisor of $x$ and $y$. Then, the following holds.
  • $g \\neq 1$, $\\frac{x}{g} \\neq 1$, and $\\frac{y}{g} \\neq 1$.

Constraints

• All values in input are integers.
• $1 \\le L \\le R \\le 10^6$

Input

Input is given from Standard Input in the following format:

$L$ $R$

Output

Print the answer as an integer.

Sample Input 1

3 7

Sample Output 1

2

Let us take some number of pairs of integers, for example.

• $(x,y)=(4,6)$ satisfies the conditions.
• $(x,y)=(7,5)$ has $g=1$ and thus violates the condition.
• $(x,y)=(6,3)$ has $\\frac{y}{g}=1$ and thus violates the condition.

There are two pairs satisfying the conditions: $(x,y)=(4,6),(6,4)$.

Sample Input 2

4 10

Sample Output 2

12

Sample Input 3

1 1000000

Sample Output 3

392047955148