Straight Dividers 2

Natural number M is an even divisor of N, if the quotient and remainder of dividing N by M are equal. In every natural number has a finite number of smooth divisors. Their number is said to be characteristic of a number. Required to calculate the amount of characteristics of all the numbers from A to B inclusive.

Specifications

Input

The first line contains two integers A and B (1 <= A <= B <= 10⁹).

Output

Bring one number - the sum of the characteristics of all the numbers from A to B inclusive.

Problem information

Time Limit: 1 seconds
Memory Limit: 64 MB
Balls for the passed test: 5.26316
Complexity: 69% 15/48
Autor: Pavel Kuzhecov

Example

Example input

20 100

Example output

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Problems

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