input:

1007
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101...

output:

0 
0 
0 
1 2 4 
1 2 4 
2 2 4 3 6 
2 2 4 3 6 
2 2 4 6 8 
3 2 4 6 8 3 9 
4 2 4 6 8 3 9 5 10 
4 2 4 6 8 3 9 5 10 
4 2 4 6 8 10 12 3 9 
4 2 4 6 8 10 12 3 9 
5 2 4 6 8 10 12 3 9 7 14 
6 2 4 6 8 10 12 3 9 5 15 7 14 
6 2 4 6 8 10 12 14 16 3 9 5 15 
6 2 4 6 8 10 12 14 16 3 9 5 15 
6 2 4 6 8 10 12 14 16 3 9 ...

result:

wrong answer Case #18: Participant has a worse answer