# Digits Count

Time Limit: 1 Second Memory Limit: 65536 KB

Diana is going to write a list of all positive integers between A and B, inclusive, in base 10 and without any leading zeros. She wants to know how many times each digit is going to be used.

## Input

Each test case is given in a single line that contains two integers A and B (1 ≤ A ≤ B ≤ 10^{8}).

The last test case is followed by a line containing two zeros.

## Output

For each test case output a single line with 10 integers representing the number of times each digit is used when writing all integers between A and B, inclusive, in base 10 and without leading zeros. Write the counter for each digit in increasing order from 0 to 9.

## Sample Input

1 9 12 321 5987 6123 12345678 12345679 0 0

## Sample Output

0 1 1 1 1 1 1 1 1 1 61 169 163 83 61 61 61 61 61 61 134 58 28 24 23 36 147 24 27 47 0 2 2 2 2 2 2 2 1 1Submit

Source: Latin American Regional Contest 2010