Diana is going to write a list of all positive integers between \textbf{A} and \textbf{B}, inclusive, in base \textbf{10} and without any leading zeros. She wants to know how many times each digit is going to be used. \InputFile Each test case is given in a single line that contains two integers \textbf{A} and \textbf{B} (\textbf{1} ≤ \textbf{A} ≤ \textbf{B} ≤ \textbf{10^8}). The last test case is followed by a line containing two zeros. \OutputFile 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 \textbf{A} and \textbf{B}, inclusive, in base \textbf{10} and without leading zeros. Write the counter for each digit in increasing order from \textbf{0} to \textbf{9}.