The first place of 2^n

LMY and YY are mathematics and number theory lovers. They like to find and solve interesting mathematic problems together. One day LMY calculates 2n one by one, n=0, 1, 2,… and writes the results on a sheet of paper: 1，2，4，8，16，32，64，128，256，512，1024，……

LMY discovers that for every consecutive 3 or 4 results, there must be one among them whose first digit is 1, and comes to the conclusion that the first digit of 2n isn’t evenly distributed between 1 and 9, and the number of 1s exceeds those of others. YY now intends to use statistics to prove LMY’s discovery.

Input consists of one or more lines, each line describing one test case: an integer N, where 0≤N≤10000.

End of input is indicated by a line consisting of -1.

For each test case, output a single line. Each line contains nine integers. The i^th integer represents the number of js satisfying the condition that 2^j begins with i (0≤j≤N).

0
1
3
10
-1

1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0
1 1 0 1 0 0 0 1 0
4 2 1 1 1 1 0 1 0

2009 Shanghai Network Contest Host by DHU