input:

100
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100

output:

1
2
5
15
52
203
877
4140
21147
115975
678570
4213597
27644437
190899322
382958538
480142077
864869230
76801385
742164233
157873304
812832668
706900318
546020311
173093227
759867260
200033042
40680577
159122123
665114805
272358185
365885605
744733441
692873095
463056339
828412002
817756178
366396447
...

result:

ok 100 lines