Sort the digits of numbers#9648
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Sort the digits of numbers

1 second
128 megabytes
Very easy

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

Input

Two positive integers and b~(a \le b \le 10^6).

Output

Print the sum of obtained numbers.

Examples

Let a = 19, b = 22. The numbers from to 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.

Example 1

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