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402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,267,267,267,267,267,267,267,267,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,267,267,267,267,267,267,267,267,402,402,402,402,402,402,402,402,402,402,402,402,402,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,267,267,267,267,267,267,267,267,267,267,267,267,267,267,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,267,267,267,267,267,267,267,267,267,267,267,402,402,402,402,402,402,402,402,402,402,402,267,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,267,267,267,306,306,306,306,306,306,306,306,267,267,267,267,267,267,267,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,267,267,267,306,306,306,306,306,306,306,306,267,267,402,402,402,402,402,402,402,402,402,267,267,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,267,306,306,307,258,258,258,258,258,258,305,306,306,306,306,267,267,267,267,267,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,258,258,402,402,402,402,402,402,402,267,267,267,306,306,307,258,258,258,258,258,258,305,306,267,267,402,402,267,267,267,402,402,267,267,306,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,267,306,307,258,258,258,258,258,258,258,258,258,258,258,258,305,306,306,306,267,267,267,267,267,258,258,258,258,258,258,258,258,258,258,258,258,258,258,402,402,402,402,402,402,267,267,267,306,307,258,258,258,258,258,258,258,258,258,305,306,267,267,267,267,267,267,267,267,267,306,307,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,267,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,305,306,306,267,267,267,258,258,258,258,258,258,258,258,258,258,258,258,258,402,402,402,402,402,402,267,267,306,306,307,258,258,258,258,258,258,258,258,258,258,258,305,306,267,267,306,306,306,267,267,306,307,258,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,306,307,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,305,306,306,306,307,258,258,258,258,258,258,258,258,258,258,258,402,402,402,402,402,402,267,267,306,307,258,258,258,258,258,258,258,258,258,258,258,258,258,258,305,306,306,307,258,305,306,306,307,258,258,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,267,267,306,307,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,267,306,307,258,258,258,258,258,258,258,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,258,267,402,402,402,402,402,402,402,402,402,402,306,307,258,258,258,258,258,258,258,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,258,258,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,267,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,258,258,402,402,402,402,258,258,258,258,258,258,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,258,305,306,267,402,402,402,402,402,402,402,402,267,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,267,402,402,402,402,402,402,402,402,267,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,305,306,267,402,402,402,402,402,402,402,306,307,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,688,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,353,355,258,258,258,258,267,402,402,402,402,402,402,402,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,688,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,369,372,355,258,258,305,306,402,402,402,402,402,402,402,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,56,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,385,357,372,355,258,258,258,402,402,402,402,402,402,402,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,72,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,385,357,371,258,258,258,402,402,402,402,402,402,402,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,56,18,18,18,43,44,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,369,371,258,258,258,402,402,402,402,402,402,402,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,72,18,18,18,18,18,688,688,688,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,385,387,258,258,258,402,402,402,402,402,402,402,402,258,258,258,258,258,267,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,44,46,18,18,18,18,56,688,688,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,258,258,258,258,258,267,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,27,72,688,688,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,258,258,258,258,305,306,267,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,43,44,56,688,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,258,258,258,258,258,267,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,18,27,72,688,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,258,258,258,258,305,306,267,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,18,43,44,688,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,267,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,267,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,18,18,18,688,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,267,267,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,258,258,258,258,258,305,306,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,18,18,18,56,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,267,306,307,258,258,258,258,258,402,402,402,402,402,402,402,402,267,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,18,18,18,72,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,306,307,258,258,258,258,258,258,402,402,402,402,402,402,402,402,267,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,18,18,43,44,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,267,306,307,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,267,258,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,402,402,402,402,402,402,402,402,267,306,307,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,402,402,402,402,402,402,402,267,267,258,258,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
56,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,56,18,18,18,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,402,402,402,402,402,267,267,267,306,307,258,258,353,355,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
72,56,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,72,18,18,18,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,267,402,402,402,267,267,267,306,307,258,258,258,369,371,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
28,72,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,44,46,18,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,267,267,267,267,267,306,306,307,258,258,258,353,373,371,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
43,44,56,56,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,305,306,267,267,267,306,307,258,258,258,353,354,373,356,387,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
18,27,72,72,402,402,402,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,305,306,306,306,307,258,258,258,258,369,370,356,387,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
18,43,44,28,56,402,402,402,402,402,402,402,402,402,402,402,402,56,18,18,18,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,258,258,385,386,387,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
18,18,18,27,72,402,402,402,402,402,402,402,402,402,402,402,402,72,18,18,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
18,18,18,43,44,56,402,402,402,402,402,402,402,402,402,402,402,44,46,18,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
18,18,18,18,27,72,402,402,402,402,402,402,402,402,402,402,402,18,18,18,18,18,18,18,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,258,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,402,688,688,688,688,688,688,688,688,688,688,
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