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 $b(a\le b\le 10^6)$.

Output

Print the sum of obtained numbers.

Examples

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 $19+2+12+22=55$.