Competitions

# Sort & Search

# Sort the digits of numbers

Consider the sequence of all positive integers from **a** to **b**. Sort the digits of each number in increasing order. Find the sum of obtained numbers.

#### Input

Two positive integers **a** and **b** (**a** ≤ **b** ≤ `10`

). ^{6}

#### Output

Print the sum of obtained numbers.

#### Example

Let **a** = **19**, **b** = **22**. The numbers from **a** to **b** are: **19**, **20**, **21**, **22**. After sorting the digits in these numbers we get: **19**, **02**, **12**, **22**. Their sum equals to **19** + **2** + **12** + **22** = **55**.

Input example #1

19 22

Output example #1

55