Different digits

Your task is to determine the number of numbers in a given range that consist only of unique digits, that is, in their notation the digits do not repeat. For example, the number $123$ consists of different digits, while the number $100$ no longer does, due to the repeating character $0$.

Source: https://onlinejudge.org/external/125/12527.pdf

Specification

Input

• $a,b$ - integers in the interval $[1,5000]$

Output

• The number of all numbers in the interval $[a,b]$ that consist only of different digits.

Example

Input

87 104

Output

14

Info

Explanation

From the interval $[87,104]$ the following numbers consist only of different digits:

$87,89,90,91,92,93,94,95,96,97,98,102,103,104$