GAMETES_Example_Output.txt

N0	N1	N2	N3	N4	N5	N6	N7	N8	N9	N10	N11	N12	N13	N14	N15	N16	N17	N18	N19	N20	N21	N22	N23	N24	N25	N26	N27	N28	N29	N30	N31	N32	N33	N34	N35	N36	N37	N38	N39	N40	N41	N42	N43	N44	N45	N46	N47	N48	N49	N50	N51	N52	N53	N54	N55	N56	N57	N58	N59	N60	N61	N62	N63	N64	N65	N66	N67	N68	N69	N70	N71	N72	N73	N74	N75	N76	N77	N78	N79	N80	N81	N82	N83	N84	N85	N86	N87	N88	N89	N90	N91	N92	N93	N94	N95	N96	N97	M0P1	M0P2	Class
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1	0	0	2	1	0	0	0	1	1	2	0	0	0	1	1	0	0	1	1	0	0	0	0	0	0	1	0	2	1	0	0	0	1	1	0	2	0	0	0	2	0	0	2	0	0	0	0	0	1	0	0	2	2	1	0	1	0	0	0	2	0	1	0	0	1	1	0	0	0	0	1	1	1	0	0	1	0	1	0	0	1	0	1	0	1	1	0	2	0	0	1	0	1	1	0	0	1	0	0	1
0	1	0	1	1	0	1	1	0	0	1	1	0	0	0	1	0	1	1	1	2	1	0	1	2	0	0	0	1	0	0	0	1	0	1	0	1	0	1	0	1	1	1	0	0	0	1	0	1	1	1	1	0	0	1	1	1	1	0	0	1	0	0	1	0	2	0	0	0	1	0	2	1	0	0	1	2	0	2	0	0	1	0	0	0	0	0	0	1	1	0	0	1	0	0	0	1	0	0	1	1
1	1	1	1	0	0	1	1	1	1	0	0	0	0	0	0	1	1	1	1	1	1	0	0	0	1	0	0	1	0	1	1	0	2	1	0	2	0	1	0	0	0	0	0	1	1	0	1	1	1	0	1	2	0	1	0	1	1	0	0	0	0	0	1	2	2	2	1	0	1	1	0	0	0	0	0	0	1	1	0	0	1	2	0	0	0	2	2	1	0	0	0	0	1	1	0	1	1	0	0	1
0	1	0	0	0	0	0	0	0	0	0	2	1	1	0	0	0	2	0	1	1	1	2	1	0	0	0	1	0	0	0	0	1	0	0	0	2	1	0	0	1	0	1	1	1	0	0	2	0	0	1	1	1	1	1	1	0	0	1	0	0	0	0	2	1	1	1	0	0	0	0	0	0	0	0	1	1	0	1	0	0	1	0	1	1	1	1	0	1	0	0	2	0	1	1	0	0	0	0	0	1
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1	0	0	0	0	0	0	0	0	0	2	2	1	1	0	1	0	2	1	1	1	0	0	2	1	0	0	1	0	0	2	1	0	1	2	1	2	0	0	0	0	1	0	1	0	0	1	1	0	1	1	0	1	0	0	0	1	0	1	1	1	0	0	1	0	1	0	0	0	1	0	1	1	0	0	1	0	2	0	0	0	1	1	0	0	0	2	0	0	0	1	0	0	0	0	0	2	0	1	1	1
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1	0	0	0	0	0	0	0	0	1	2	0	0	0	0	1	0	1	1	1	1	0	1	2	0	1	1	1	1	0	1	0	0	2	1	0	0	0	1	0	0	1	2	1	0	0	0	0	0	1	0	1	1	1	2	0	1	0	0	1	1	0	0	1	0	1	2	0	0	0	0	1	0	0	0	0	1	1	0	1	0	1	0	1	0	1	2	0	0	0	0	0	0	1	1	0	1	1	0	0	1
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0	2	0	0	1	1	0	0	0	0	2	1	0	0	0	1	0	1	1	1	0	0	0	1	0	2	0	0	0	0	1	2	1	1	1	1	2	1	0	1	0	0	0	0	0	0	0	2	0	0	1	0	1	1	2	2	1	1	0	1	0	0	0	1	0	1	1	1	0	0	1	1	0	1	0	1	0	1	1	2	1	2	0	1	0	0	0	2	1	0	0	1	0	0	1	0	2	0	0	0	1
2	0	1	1	0	0	0	0	1	0	0	1	1	1	1	1	0	1	0	1	2	0	0	0	0	0	0	0	0	0	1	0	1	1	0	0	1	0	0	0	0	1	0	1	0	1	1	1	1	1	0	1	1	0	1	0	1	0	0	1	1	0	1	0	0	1	1	0	1	1	0	0	0	1	0	0	1	1	0	0	0	0	1	1	0	1	1	1	0	0	1	1	0	1	0	0	2	0	0	0	1
0	1	0	1	0	0	0	0	1	0	1	1	0	2	1	1	1	0	0	1	1	0	0	1	2	0	0	0	0	0	0	0	0	1	1	1	1	1	0	1	1	1	2	2	2	1	1	1	0	1	1	0	1	0	1	1	0	0	0	0	1	0	0	0	0	1	1	0	0	0	0	0	1	0	0	0	1	2	0	1	0	0	0	1	0	1	1	1	0	0	1	1	0	1	1	0	0	1	0	0	1
0	1	0	0	0	0	0	0	0	0	1	1	0	0	0	1	1	0	0	1	1	2	0	2	1	1	0	0	0	0	0	1	0	1	1	1	1	0	1	0	1	0	1	1	1	0	0	1	0	2	0	1	0	0	1	1	2	0	0	0	0	0	0	1	0	1	0	0	0	0	0	2	2	2	0	1	1	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	1	2	0	0	0	0	0	1
0	0	0	0	1	0	1	0	1	0	1	0	0	0	0	1	0	0	1	0	0	1	0	0	0	0	0	0	0	0	1	0	0	0	2	0	2	1	0	0	0	0	2	1	0	0	0	0	1	1	0	0	0	1	2	0	2	0	0	1	1	0	0	0	0	2	1	0	0	0	0	0	0	0	0	1	1	1	1	0	1	0	0	0	0	0	2	0	0	1	0	1	0	0	1	1	1	0	0	0	1
0	2	0	0	0	0	1	0	0	0	1	0	1	0	1	1	0	1	1	0	0	1	0	2	2	1	0	1	1	1	0	2	0	1	1	0	1	1	2	0	1	2	2	2	1	0	1	0	0	0	0	1	1	0	2	0	0	1	0	0	1	0	0	0	0	0	1	0	0	0	0	1	0	0	0	1	1	1	0	0	0	1	1	0	0	2	2	0	0	0	1	0	0	1	2	2	1	0	0	1	1
1	0	0	0	1	0	0	0	0	0	1	1	0	1	0	2	1	1	0	0	0	2	0	0	2	0	1	1	1	1	0	0	0	1	0	0	0	1	0	0	1	1	1	2	0	0	0	0	1	1	0	0	1	1	0	1	0	0	0	1	2	0	0	0	0	1	2	0	0	0	1	0	1	0	0	1	1	1	2	1	0	1	0	0	1	1	1	0	0	0	1	0	0	2	0	1	1	0	0	0	1
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1	0	1	1	1	0	1	0	1	0	0	1	0	1	0	0	1	1	0	1	1	2	0	1	1	0	0	1	1	0	1	1	0	1	0	0	0	1	0	0	0	1	1	1	1	0	1	1	0	0	1	0	1	0	2	1	1	0	1	0	1	0	0	0	0	2	1	0	0	0	1	1	1	0	0	1	1	1	0	1	0	1	0	1	0	1	1	1	1	0	1	0	0	0	2	2	1	1	0	0	1
1	0	0	0	0	0	1	0	0	1	1	0	1	1	0	2	0	1	1	1	1	2	0	1	0	1	0	1	0	1	0	0	0	0	1	0	1	0	0	0	0	0	0	2	0	0	0	2	1	0	0	0	0	1	2	1	2	0	0	0	0	0	0	0	0	2	1	0	0	0	0	1	0	1	1	1	0	1	1	0	0	2	0	1	0	2	0	2	0	1	2	0	0	1	2	1	1	0	0	1	1
1	1	0	0	0	0	0	1	0	0	1	1	0	0	1	1	0	0	1	0	0	2	0	0	1	1	0	2	0	0	1	1	1	1	1	1	1	1	0	0	1	0	0	2	1	0	0	1	0	2	0	1	1	0	1	1	0	0	0	1	0	0	0	0	0	2	1	1	0	1	1	1	1	0	0	2	0	0	0	1	0	0	0	1	0	1	1	1	1	1	1	0	0	1	0	0	1	0	0	0	1
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0	1	1	1	0	1	0	1	0	1	0	1	1	1	1	0	0	2	1	1	1	1	0	1	1	0	0	0	0	0	1	0	0	1	0	0	1	2	1	0	0	1	0	1	0	1	0	1	0	2	0	1	1	1	1	0	1	0	0	0	0	0	1	1	0	1	1	0	0	2	1	0	1	0	0	2	1	1	0	0	2	1	1	2	0	0	0	1	0	0	0	1	0	0	1	1	1	0	0	0	1
0	1	1	0	0	0	0	0	0	0	1	2	0	0	0	2	1	1	0	1	0	0	0	0	0	0	0	0	1	0	1	0	0	1	1	1	2	1	1	0	0	1	0	0	1	0	0	0	0	1	1	0	1	1	2	1	0	0	0	1	0	0	0	0	0	1	1	0	0	1	0	1	1	0	0	1	0	2	0	0	0	1	1	1	0	1	2	0	1	0	0	1	0	1	0	0	1	0	0	0	1
0	1	0	0	0	1	0	0	2	1	2	1	0	1	0	0	0	1	0	1	0	1	1	0	0	1	0	1	1	1	1	1	0	1	2	1	1	1	0	0	0	2	2	1	0	0	1	1	0	0	1	1	0	0	1	0	1	0	0	2	1	0	1	0	0	0	1	0	0	0	0	1	1	0	0	2	0	1	0	0	0	0	0	2	0	0	0	2	0	0	0	0	0	1	0	0	1	0	1	0	1
2	1	0	1	0	0	0	0	1	0	0	1	1	0	1	1	0	1	0	1	0	1	0	0	1	1	0	1	2	0	0	1	0	2	1	1	0	0	0	0	2	1	1	2	2	0	0	0	1	1	0	0	0	0	1	0	1	0	0	1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	1	1	0	1	1	1	0	1	0	1	1	1	1	0	0	0	0	0	1	1	1	0	0	0	1
1	0	0	1	1	0	0	0	1	0	0	0	0	0	0	0	1	2	0	1	0	0	0	0	0	0	0	0	1	0	0	1	0	1	1	0	2	2	0	0	1	1	0	2	1	1	1	2	0	1	1	0	0	0	0	1	0	0	0	0	2	0	0	1	0	1	0	0	0	1	0	1	2	1	1	1	1	0	0	2	0	1	0	0	0	1	2	0	0	1	0	0	0	0	2	0	2	1	0	0	1
0	1	0	1	1	0	0	0	0	0	2	0	0	0	1	2	0	0	1	2	0	0	0	0	1	1	0	0	1	0	1	1	0	1	2	0	0	1	0	0	0	1	0	2	1	0	0	1	0	0	0	0	0	2	2	0	1	0	0	0	1	0	0	0	0	1	2	0	0	1	1	2	2	1	1	2	1	2	0	0	0	1	2	2	0	0	1	0	0	1	0	0	0	0	0	1	2	0	0	0	1
0	0	0	0	0	1	0	0	1	2	1	0	0	0	0	2	1	0	1	1	0	2	1	0	2	0	0	0	0	0	0	0	0	1	0	0	2	2	0	0	1	0	1	1	2	0	0	0	0	2	0	0	1	0	1	0	2	0	0	1	0	0	0	0	0	0	1	1	0	1	0	2	1	1	0	2	1	0	0	1	0	0	0	1	0	0	0	1	0	0	0	1	0	1	1	0	1	0	0	0	1
2	0	0	1	0	0	1	1	0	0	1	1	1	1	0	0	0	1	1	2	0	0	0	0	1	1	0	0	0	1	1	0	0	1	2	0	0	0	0	0	0	1	2	2	2	0	0	1	0	1	0	1	1	1	1	0	1	0	0	1	2	0	0	1	0	0	2	0	0	0	0	2	1	0	1	2	0	2	0	0	0	2	0	2	0	2	2	0	1	0	1	0	0	1	1	0	1	0	0	0	1
0	1	0	2	0	0	0	1	1	0	1	0	0	0	0	0	0	1	0	1	0	1	0	0	0	0	0	1	1	0	0	0	1	2	2	0	1	0	0	0	0	0	0	1	1	1	2	1	0	0	1	1	0	0	2	0	1	0	0	0	2	0	0	0	0	2	0	0	0	1	0	1	2	0	1	2	0	2	1	1	0	1	1	1	0	2	2	2	1	1	1	2	0	0	2	1	1	1	0	0	1
0	2	0	1	1	0	1	1	2	0	0	2	0	2	0	2	0	1	0	1	2	2	0	1	2	0	1	0	0	0	0	1	0	1	0	0	2	2	0	0	0	1	0	0	0	0	1	0	2	1	0	2	0	2	2	0	1	0	0	0	0	0	0	0	0	1	1	0	1	1	0	1	0	0	0	1	0	1	1	2	1	0	0	1	0	1	1	0	0	2	0	1	0	1	0	0	1	1	0	0	1
0	1	0	0	0	0	0	0	1	1	1	1	1	0	1	2	0	1	0	1	1	0	0	1	1	0	0	0	0	0	0	1	0	2	0	2	2	2	1	0	0	1	1	2	2	1	0	1	1	2	0	0	0	1	1	0	0	0	1	1	0	0	0	1	1	1	0	0	0	1	1	0	0	2	0	1	0	0	2	1	0	1	1	0	0	1	1	2	1	0	1	0	0	0	0	0	2	0	0	0	1
0	1	0	0	0	0	1	1	0	1	1	0	0	0	0	0	1	0	0	1	1	2	0	0	0	1	0	0	0	0	2	0	0	0	1	0	0	1	0	0	0	2	1	1	1	0	0	1	1	0	1	0	1	1	1	1	2	0	0	0	1	0	0	0	1	1	1	0	0	1	0	1	2	0	0	0	1	2	1	1	0	0	1	1	0	2	2	0	0	0	0	0	0	1	1	0	1	0	0	0	1
0	1	0	0	1	1	0	0	0	0	0	1	1	0	0	1	0	0	0	1	1	2	0	1	1	1	0	0	1	1	1	1	0	2	0	0	1	1	0	0	1	2	0	0	1	1	0	0	0	1	0	0	1	1	0	2	1	1	0	1	2	0	0	1	1	0	1	0	0	0	0	2	1	2	1	1	0	2	1	1	2	0	1	0	0	1	1	2	2	0	0	2	0	1	1	0	0	0	0	0	1
0	1	0	0	0	0	0	1	1	1	1	1	0	0	1	1	2	0	1	2	2	0	0	0	2	0	0	1	0	0	0	0	0	2	0	0	1	1	1	0	1	1	0	0	1	0	1	1	1	0	1	0	1	0	1	1	2	0	1	1	0	0	0	0	0	1	2	0	0	1	0	1	1	0	1	2	0	1	2	1	0	1	0	2	0	1	1	0	1	0	0	0	0	1	0	1	0	1	1	0	1
1	1	1	1	0	0	0	1	0	2	1	0	0	0	0	1	0	1	1	2	0	2	0	0	1	0	1	0	1	0	1	1	1	1	1	1	0	0	0	0	0	1	2	0	2	0	1	0	0	1	0	1	1	2	1	2	1	0	0	2	1	0	0	0	0	2	2	0	0	1	0	0	1	1	1	1	0	1	1	1	0	1	1	1	0	2	0	1	1	0	0	1	0	1	0	0	1	0	0	0	1
0	0	0	0	2	0	0	1	0	1	1	1	0	0	0	0	1	2	0	2	1	0	0	1	1	0	1	0	1	0	0	0	0	2	0	1	0	0	1	0	0	0	0	1	2	0	0	1	0	2	0	1	0	0	1	1	1	0	0	0	1	0	0	0	1	0	1	1	1	0	1	1	1	1	0	2	0	1	1	0	0	1	0	0	0	0	1	1	0	1	0	0	0	1	1	0	1	2	0	0	1
0	0	1	1	1	1	0	0	0	1	1	1	2	0	1	0	0	1	1	1	0	1	0	0	1	0	1	0	0	1	1	0	0	1	1	0	0	1	0	0	1	1	0	0	2	0	0	0	0	1	0	0	0	2	0	2	2	0	0	2	0	0	0	0	1	1	0	0	0	0	1	1	0	0	0	1	0	2	0	1	0	1	0	1	0	0	1	0	0	1	0	1	0	0	0	0	1	0	0	0	1
0	1	0	1	0	0	1	1	0	0	0	1	0	0	0	1	1	0	0	1	0	1	1	0	0	1	1	0	0	0	1	2	0	0	0	0	1	0	0	0	0	0	1	1	1	0	0	0	1	0	0	0	0	1	1	0	2	0	0	1	1	0	0	0	1	2	0	0	0	1	0	1	2	1	0	1	2	0	2	0	0	0	1	1	0	1	1	0	1	2	0	0	0	0	1	0	1	0	0	0	1
0	1	0	1	0	0	0	1	2	0	2	1	1	1	1	2	0	1	1	1	0	1	0	0	0	0	1	1	0	0	0	0	0	1	1	0	0	1	0	1	0	1	1	2	1	0	0	1	0	0	1	0	0	1	0	1	0	1	0	0	1	0	0	0	0	2	1	0	0	0	0	0	0	0	0	0	0	0	1	1	0	1	0	0	0	0	1	2	1	0	0	0	0	0	0	0	1	0	0	0	1
0	1	0	1	0	1	0	0	0	1	0	2	0	0	0	2	0	1	1	0	0	1	0	2	1	0	1	0	0	0	0	1	1	1	1	0	2	0	1	0	0	1	1	1	2	0	0	1	1	1	0	1	1	1	0	1	1	0	0	0	2	0	0	0	0	2	1	0	0	0	0	2	1	0	0	2	0	0	0	1	1	1	0	1	0	1	1	1	1	0	0	2	0	2	1	0	1	0	0	0	1
0	2	0	0	1	0	1	0	1	0	2	0	0	1	1	1	0	0	2	0	0	1	0	0	0	1	0	0	2	0	0	1	1	1	1	0	2	1	0	0	1	0	0	1	0	0	1	1	0	1	1	0	0	2	1	1	1	0	1	0	0	0	1	0	0	1	0	1	0	1	1	0	1	1	1	1	0	0	2	1	0	0	0	1	0	0	1	0	1	0	0	0	0	1	1	1	1	0	0	0	1
0	2	0	1	0	0	0	1	0	0	0	1	0	1	0	0	0	0	0	1	0	1	0	0	1	0	0	1	0	0	0	0	0	0	1	0	1	0	0	0	1	0	1	2	2	0	0	2	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	1	0	0	1	0	0	0	1	1	1	0	0	1	0	0	0	1	0	2	1	1	0	1	1	2	2	1	0	0	0	1	0	0	2	0	1	0	1
0	1	0	1	0	1	1	1	1	0	1	1	0	0	0	1	0	0	0	1	0	2	0	0	1	1	0	0	0	0	1	2	1	0	0	1	0	1	1	0	0	1	2	1	1	0	0	1	0	1	0	0	1	0	2	2	1	0	0	1	0	0	0	0	0	0	1	0	0	1	1	1	1	1	1	1	1	1	1	0	0	2	0	1	0	2	0	0	1	1	0	0	0	1	0	0	0	0	0	0	1
0	0	0	0	1	0	0	0	0	0	0	1	1	0	0	1	0	0	0	0	1	0	0	0	1	1	1	0	1	0	0	1	0	1	0	0	1	0	2	0	1	1	0	0	1	1	0	2	1	2	0	1	0	1	1	1	2	0	0	1	2	0	0	0	1	1	0	0	0	0	1	1	0	1	1	0	0	0	1	1	0	2	0	1	0	2	0	1	0	0	1	0	1	0	1	0	1	0	0	0	1
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0	0	0	0	0	0	0	1	0	0	2	0	1	0	0	1	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	1	0	1	0	1	1	2	1	1	0	0	1	1	1	0	0	0	2	1	1	1	0	1	1	0	1	0	0	0	1	0	0	0	1	0	1	0	0	0	0	2	0	0	1	0	1	0	0	0	1	2	1	1	0	0	0	0	1	1	1	0	0	1	0	1
0	2	0	0	0	0	0	0	1	0	0	1	1	2	0	2	1	1	0	2	1	0	0	0	1	0	1	0	0	0	1	2	1	1	1	0	0	0	0	0	0	1	0	1	2	0	0	0	0	0	1	0	0	0	1	0	0	0	1	0	1	0	0	2	0	1	1	0	0	1	2	2	0	0	0	0	0	2	1	0	0	1	0	1	0	1	1	0	1	0	0	1	0	0	1	0	2	1	0	0	1
1	0	0	2	0	0	0	0	0	0	0	1	1	1	0	2	0	1	2	0	1	1	0	0	1	0	0	0	1	0	1	1	1	1	2	1	1	1	0	0	1	2	1	0	2	0	0	1	0	1	0	0	1	0	1	1	1	0	0	1	1	0	1	0	1	0	0	0	0	1	0	0	2	0	0	1	0	0	0	0	0	0	1	0	0	2	0	1	2	1	0	0	0	0	1	0	1	1	0	0	1
1	1	0	0	0	0	0	0	1	0	0	2	0	1	0	1	1	2	0	0	0	1	0	0	1	0	0	0	1	1	0	0	0	2	2	0	1	1	1	0	0	1	1	1	1	0	0	1	0	0	0	0	1	0	1	0	0	0	1	0	2	0	1	0	0	1	2	0	0	1	0	1	0	0	1	0	2	2	0	1	2	0	1	1	0	2	1	1	0	0	0	1	0	0	2	0	1	2	0	0	1
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0	0	0	0	0	0	1	1	1	1	0	1	1	1	1	2	0	1	1	0	2	1	0	0	0	0	0	0	1	0	1	1	0	2	1	0	1	0	0	0	0	2	0	0	0	0	2	1	0	0	0	1	1	2	1	0	0	0	0	0	0	0	1	0	0	1	1	1	0	0	0	2	1	0	0	0	0	1	0	0	2	2	0	1	0	0	2	0	1	0	0	1	0	0	1	1	2	1	0	0	1
0	0	0	1	0	0	1	0	1	2	0	0	1	2	0	0	0	0	1	0	0	1	1	1	0	1	1	0	1	0	1	1	1	1	0	0	1	0	0	0	1	1	1	1	2	1	0	0	1	1	0	1	2	0	0	0	0	0	0	1	1	0	0	0	0	1	0	0	0	1	0	0	1	0	2	1	1	2	1	0	0	1	1	1	0	1	0	1	1	0	0	0	0	1	0	0	1	0	1	0	1
0	2	0	1	1	0	1	0	1	1	0	2	1	0	1	1	0	0	0	0	0	2	0	1	0	0	0	0	0	0	0	0	0	0	1	1	2	1	0	0	1	0	0	1	0	1	0	0	0	0	0	1	0	1	0	1	2	1	0	0	1	0	0	1	1	1	1	0	0	1	1	2	2	0	1	0	1	2	1	0	0	1	1	1	0	0	1	0	1	1	1	0	0	0	1	1	1	1	0	0	1
1	1	0	1	0	0	0	0	1	1	0	1	0	0	0	2	0	0	1	1	1	1	0	1	1	0	0	1	0	0	0	0	1	0	1	0	1	0	1	0	2	1	0	2	0	0	0	1	0	0	0	0	1	0	1	0	0	0	0	1	1	0	0	0	1	1	1	0	0	2	0	1	0	0	0	1	1	0	0	0	0	1	1	1	0	1	2	1	0	0	1	0	0	1	1	1	0	1	0	0	1
0	1	0	1	2	1	0	1	0	0	0	2	1	0	2	0	0	1	1	0	2	1	0	0	0	0	0	0	1	0	0	0	0	1	1	0	1	2	0	0	1	0	1	0	1	0	1	1	0	1	0	1	1	1	1	1	1	0	0	1	1	0	1	1	0	1	2	0	0	1	0	1	1	0	0	0	1	1	0	0	0	2	1	1	0	1	0	0	0	0	0	0	0	0	0	1	1	0	0	1	1
0	1	0	1	0	0	0	2	2	0	1	1	0	2	1	1	0	0	0	0	1	1	0	1	0	0	1	1	1	0	1	1	0	2	1	0	1	1	1	0	1	0	1	1	1	0	1	0	0	1	0	1	0	0	2	1	2	0	0	2	2	0	1	0	0	0	0	1	0	1	1	1	1	0	0	1	0	2	0	1	0	1	1	1	0	1	2	0	0	1	0	1	0	0	1	0	1	1	0	1	1
1	0	1	1	1	0	1	0	1	1	1	1	2	1	1	2	1	2	0	1	0	2	0	0	0	1	0	0	0	2	0	1	1	1	2	0	1	1	0	0	0	1	0	0	0	0	1	1	0	0	0	0	1	2	1	2	1	0	0	0	0	0	0	0	0	1	1	0	0	1	0	0	1	0	0	1	2	2	0	1	0	1	1	0	0	2	1	1	1	0	0	0	0	1	0	0	1	1	0	0	1
0	1	0	0	1	0	0	0	1	1	1	1	2	1	1	1	0	0	1	1	1	1	0	0	0	1	1	1	1	1	0	0	0	1	2	1	0	2	1	0	0	1	0	2	1	0	0	0	0	1	0	0	0	0	1	0	1	0	0	0	1	0	0	0	1	1	1	0	0	1	0	1	2	1	0	1	1	0	0	2	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	1	0	1	0	1
1	1	0	0	0	1	1	2	1	0	2	0	0	1	0	2	0	0	1	1	1	0	1	2	1	0	0	1	0	1	2	1	0	1	0	0	0	1	0	0	0	1	1	1	2	0	0	0	0	0	0	0	0	1	1	2	0	0	1	1	1	0	0	0	1	0	2	0	0	0	1	2	2	0	0	1	1	0	1	0	0	1	0	0	1	0	0	1	1	0	0	0	0	0	1	0	0	1	0	0	1
0	1	0	1	0	0	0	0	1	1	0	0	0	2	0	1	1	0	2	1	1	0	0	0	1	0	0	0	0	2	1	1	1	1	2	0	1	1	0	0	1	1	0	1	1	0	1	1	0	1	0	0	1	1	1	0	2	0	0	1	2	0	0	0	0	0	1	0	0	1	0	1	0	0	0	1	0	1	1	1	0	1	2	1	0	1	1	1	1	2	1	0	0	1	1	0	2	0	0	0	1
2	2	1	1	1	0	0	0	1	1	0	1	0	0	1	1	0	1	1	1	0	1	0	1	1	0	1	0	0	0	0	0	0	1	1	0	1	2	0	0	0	1	1	0	1	0	0	1	0	2	1	1	0	0	0	1	1	0	0	0	0	0	0	1	1	1	0	0	0	0	0	2	1	0	1	0	0	1	1	0	0	1	1	1	1	0	0	1	0	0	0	0	0	0	0	0	1	0	0	0	1
0	0	0	0	0	0	0	0	1	0	1	2	0	1	0	1	0	1	1	0	1	0	0	0	2	0	0	1	1	0	1	0	0	1	0	0	1	0	0	0	2	2	1	0	2	0	0	0	0	0	1	0	0	0	1	0	2	0	0	0	0	1	0	0	1	2	1	0	0	0	0	2	1	0	0	2	1	0	1	0	0	1	1	0	0	2	1	1	0	0	0	0	0	1	1	0	1	0	0	0	1
0	0	0	1	0	1	0	0	1	0	1	1	1	1	0	0	0	1	0	0	1	2	0	0	1	0	0	0	1	2	1	0	1	0	1	0	0	1	0	0	1	1	1	0	2	0	0	0	1	0	0	1	0	0	1	0	1	0	1	0	2	0	0	0	1	1	1	0	0	1	0	1	1	1	1	1	2	0	0	0	0	2	2	0	0	1	1	0	0	0	0	0	0	0	1	0	1	0	1	0	1
0	2	0	2	0	1	1	0	0	1	1	0	1	0	0	1	0	0	1	1	0	1	0	0	0	0	0	0	1	0	0	0	0	1	0	0	1	0	0	0	1	1	0	1	1	1	0	0	0	0	0	0	0	2	1	0	2	0	0	1	1	0	1	0	0	0	0	0	0	1	1	1	1	2	0	1	2	1	0	1	1	0	0	1	1	1	0	1	1	0	0	0	0	0	1	0	1	2	0	0	1
0	2	1	1	0	0	0	1	1	0	1	0	0	0	0	2	0	0	0	1	1	0	0	2	0	0	0	0	1	1	1	0	1	2	2	1	1	0	1	0	0	0	0	0	1	1	0	0	0	1	0	0	0	0	0	0	1	0	0	1	0	0	0	0	0	1	2	0	0	0	1	1	1	0	1	0	0	2	0	0	0	0	0	1	1	1	1	2	1	0	0	0	0	1	1	0	1	0	1	0	1
0	0	0	0	1	0	1	1	1	0	2	1	1	0	1	1	1	2	2	1	0	0	0	0	0	0	0	1	0	1	1	1	1	0	1	0	0	0	0	0	0	1	1	1	1	1	0	0	0	2	0	2	1	0	1	1	0	0	0	0	0	0	0	1	0	1	1	0	0	0	0	1	1	0	0	0	1	2	1	0	0	0	1	1	1	1	2	0	1	1	0	2	0	0	1	0	0	0	0	0	1
1	1	0	0	1	1	0	0	1	1	0	0	0	2	0	2	2	0	0	1	0	1	0	2	1	1	0	0	0	1	0	0	0	0	0	0	1	1	0	0	0	1	0	1	1	0	0	0	0	1	0	1	1	0	0	1	2	0	0	0	0	0	1	0	0	2	1	0	0	1	0	0	1	0	0	1	1	2	0	0	0	2	1	1	0	2	2	0	1	1	0	0	0	1	0	0	2	1	0	0	1
0	1	1	0	1	0	0	0	2	1	0	0	0	0	0	1	0	1	0	1	0	2	0	1	0	0	1	1	1	1	1	2	1	0	1	0	0	1	0	0	1	0	1	1	2	0	0	1	0	0	0	0	1	0	1	1	2	0	0	0	1	0	1	1	0	1	0	0	0	0	0	0	2	1	0	2	0	1	1	0	0	2	1	0	0	0	0	0	0	1	0	0	0	1	0	0	2	1	0	0	1
0	0	1	0	0	0	0	0	0	0	2	0	0	2	0	1	0	0	0	1	0	0	0	1	0	0	0	0	1	0	0	1	0	1	0	0	2	0	0	0	0	2	0	2	0	0	1	1	0	0	1	0	0	0	1	1	1	0	0	1	2	0	0	0	0	0	1	0	0	0	0	1	0	0	0	1	1	0	1	1	0	0	0	2	1	0	0	0	1	0	2	0	0	0	1	0	0	1	1	1	1
0	0	0	0	2	0	0	0	0	0	0	1	0	0	0	1	0	0	0	2	0	2	0	0	1	0	1	0	1	1	2	0	0	1	2	0	0	1	0	0	1	2	0	2	1	2	0	0	0	1	0	0	2	1	0	2	0	1	0	1	1	0	1	1	0	2	2	0	0	1	0	0	1	1	0	0	0	1	0	1	0	1	0	1	0	0	0	0	1	1	1	1	0	0	1	1	1	1	1	0	1
1	1	0	0	0	2	0	1	1	0	0	1	1	1	1	0	0	1	2	2	1	1	0	0	1	0	0	0	0	1	0	1	1	1	0	0	1	0	0	0	1	1	1	1	0	0	0	1	0	2	1	0	1	0	2	0	1	0	0	0	2	0	0	0	1	1	1	1	0	0	0	2	0	1	0	1	0	1	0	0	1	1	0	0	0	1	0	1	1	0	0	0	0	0	0	0	1	1	0	0	1
1	0	0	0	2	0	1	0	0	0	2	1	0	0	0	2	0	1	1	1	2	0	0	0	1	0	0	0	1	1	0	1	0	0	0	0	0	0	1	1	1	1	0	0	2	2	1	2	0	0	0	1	2	0	0	0	0	1	1	0	1	0	1	1	0	0	1	0	0	0	0	1	0	0	0	1	0	2	0	1	0	1	0	0	0	1	1	1	1	0	0	0	0	1	0	0	0	0	1	0	1
0	1	1	2	1	1	0	1	1	0	0	0	1	0	0	2	0	0	1	1	1	2	0	0	1	0	0	0	0	1	1	0	1	2	1	0	2	1	0	0	1	1	1	1	1	0	0	0	0	1	0	0	1	1	1	1	1	0	0	0	1	0	0	0	0	2	2	0	0	1	0	1	1	1	1	1	1	2	0	2	0	2	1	2	0	0	2	0	0	0	0	1	0	1	0	0	1	2	0	0	1
0	1	1	0	0	0	0	0	0	0	1	2	0	0	0	1	0	0	0	1	1	1	0	0	0	2	0	0	0	0	0	1	2	2	1	1	0	0	0	1	1	1	0	0	0	1	0	1	0	1	0	0	1	0	1	1	2	0	0	0	1	0	1	1	0	1	1	1	0	1	0	1	0	0	1	1	1	1	1	1	0	0	0	1	0	1	1	1	0	1	0	0	0	1	0	1	2	0	0	0	1
1	0	0	1	0	0	0	2	2	1	1	1	1	1	0	1	0	0	0	2	1	1	0	1	1	1	0	0	0	0	2	1	0	0	1	0	0	0	0	0	1	1	1	0	0	0	0	0	0	1	0	1	2	0	2	1	1	0	0	0	0	0	1	0	0	0	0	1	0	0	0	1	1	0	0	0	1	0	0	0	0	1	0	1	0	1	2	2	1	0	2	0	0	1	0	2	1	1	0	0	1
1	0	0	0	0	0	0	0	0	1	1	2	0	0	0	2	0	2	0	2	0	2	1	0	1	0	1	0	2	0	0	1	1	0	1	1	2	1	1	0	1	0	1	2	1	0	1	0	0	1	0	0	0	0	1	1	1	0	0	1	1	0	0	0	1	1	0	0	0	2	0	1	1	0	1	1	2	2	1	0	0	0	1	1	0	1	0	0	0	2	0	1	0	0	1	1	1	1	0	0	1
0	1	0	0	0	0	0	0	0	1	1	0	0	0	1	1	0	0	1	1	1	1	0	1	1	0	1	0	1	1	1	2	0	1	1	0	1	0	0	0	0	0	0	2	0	0	0	2	1	1	1	0	1	0	2	0	0	0	0	0	0	1	0	0	0	1	2	0	0	0	0	1	1	0	0	1	1	0	0	1	0	2	0	1	1	2	0	2	2	0	1	1	0	1	2	0	0	1	0	0	1
1	0	0	2	0	0	0	0	0	1	0	1	0	0	0	0	0	1	0	1	0	2	0	0	1	0	0	1	2	0	0	0	2	0	0	0	0	2	1	0	0	2	0	0	2	0	1	0	0	1	0	0	0	0	1	0	2	0	1	1	0	0	0	0	0	1	0	0	0	1	0	0	2	1	0	1	1	2	0	1	0	0	0	1	0	0	2	0	0	0	0	1	0	0	1	0	0	1	0	0	1
0	1	0	2	0	0	0	0	0	0	1	1	0	0	1	1	0	1	1	0	2	2	0	0	0	0	0	0	2	0	0	1	0	0	1	0	0	2	0	0	0	1	0	2	2	0	0	0	0	0	1	2	0	0	0	1	0	0	0	1	2	0	0	0	1	1	1	0	0	1	1	1	1	0	0	1	0	1	0	2	0	0	0	0	0	0	1	0	0	0	0	0	0	0	2	1	0	1	0	0	1
1	2	0	0	0	0	1	1	0	0	0	1	0	0	1	2	1	0	0	1	2	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	1	0	0	0	0	1	0	2	1	2	0	0	1	0	1	0	0	1	2	0	0	0	0	1	0	0	0	1	0	1	1	0	0	1	1	1	0	1	0	0	1	1	1	1	1	1	1	0	1	0	0	0	0	0	1	1	0	0	1
0	1	0	0	1	0	1	0	0	0	2	0	0	0	0	2	0	1	1	1	0	1	1	1	1	0	1	0	0	1	0	0	1	1	1	0	1	2	0	0	0	1	0	1	1	0	0	1	0	0	0	0	1	0	1	1	1	0	0	1	0	0	0	1	0	1	2	1	0	0	0	1	1	0	0	2	1	1	0	1	0	0	1	1	0	1	1	1	0	0	0	0	0	0	0	1	1	1	0	0	1
0	0	0	0	0	0	0	0	0	1	1	2	0	2	0	0	1	1	1	0	1	1	0	1	1	1	0	0	1	1	1	0	0	0	0	0	1	2	1	0	0	0	0	1	1	0	0	2	1	2	1	1	0	0	1	0	0	0	0	0	2	0	0	0	1	1	1	1	0	0	0	1	0	0	0	1	0	1	2	0	0	1	0	0	0	1	0	2	0	1	0	0	0	1	0	0	0	0	0	0	1
0	0	0	1	0	0	0	0	1	0	1	1	2	2	0	1	0	0	1	0	2	0	0	0	1	0	1	0	2	0	1	0	1	2	1	0	0	0	2	0	1	0	0	2	0	1	0	0	1	0	0	1	0	0	0	2	1	1	0	1	2	0	0	1	0	1	1	0	0	1	0	2	0	0	0	0	1	2	0	0	0	0	1	0	0	0	2	0	1	0	0	1	0	1	0	1	0	1	0	0	1
0	1	0	0	0	1	1	1	0	1	1	0	2	1	0	1	0	0	1	1	0	1	0	0	1	1	0	0	0	0	0	0	0	1	0	0	2	0	0	0	1	2	0	0	0	0	0	1	0	1	0	1	1	0	1	0	2	0	1	0	1	0	0	0	0	1	0	0	0	1	1	0	1	0	0	2	1	2	0	2	1	2	0	1	0	2	2	1	0	1	1	1	0	1	0	0	0	1	0	1	1
0	2	0	0	0	0	2	1	2	0	1	1	0	1	0	0	0	1	1	1	1	1	0	1	1	1	0	0	0	0	0	2	0	1	1	0	2	1	1	0	0	1	1	1	1	1	0	0	0	0	0	0	1	0	0	1	1	1	0	1	2	0	0	0	0	1	1	0	0	1	1	1	0	0	0	2	1	2	1	0	0	1	1	1	0	1	1	1	0	0	1	0	0	1	0	1	0	0	0	0	1
0	2	0	0	0	0	0	1	0	0	0	1	1	0	0	1	0	1	1	1	0	1	0	0	1	0	1	0	0	1	1	0	0	1	0	0	2	0	0	0	0	0	0	0	2	0	0	1	0	1	0	0	1	1	2	0	1	1	0	0	1	0	0	0	0	1	0	1	0	1	1	0	2	0	0	0	0	2	0	2	0	0	1	2	0	0	0	1	1	0	0	0	0	1	0	2	0	1	0	0	1
1	1	0	1	1	0	1	0	2	0	0	1	0	1	0	0	1	1	0	2	0	1	0	0	0	1	1	0	1	0	0	1	0	1	2	1	1	0	0	0	0	0	1	1	1	1	0	1	1	1	1	1	2	1	1	1	1	0	1	0	1	0	1	0	0	1	2	1	0	1	1	2	0	0	0	2	1	0	1	0	0	1	0	0	0	2	1	0	0	1	0	1	0	1	1	0	1	0	0	0	1
0	1	0	1	0	1	0	1	2	2	1	0	0	2	0	2	0	0	1	1	0	1	0	0	0	1	1	1	0	1	0	0	1	2	2	0	1	0	0	0	0	0	0	2	0	1	1	1	0	2	0	0	2	0	1	2	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	1	1	1	0	0	1	0	0	0	0	0	2	1	0	1	0	0	1	0	1	0	0	0	1
1	0	0	1	1	0	0	2	0	2	1	1	1	1	0	1	1	0	1	1	0	1	0	0	0	0	0	0	0	1	0	0	0	0	1	0	1	1	1	0	1	2	1	1	2	0	1	0	1	0	0	0	0	1	1	1	1	2	1	0	0	0	0	1	2	1	1	0	0	1	0	0	0	1	0	0	1	1	1	0	0	0	0	1	0	1	1	1	1	0	0	1	0	2	0	0	1	0	0	0	1
0	1	0	1	0	0	0	0	0	1	0	1	2	0	0	1	1	1	1	0	1	1	0	0	0	1	1	0	1	2	0	2	1	1	1	1	1	1	0	0	0	2	1	0	2	0	0	0	0	1	1	1	0	1	0	1	1	0	1	0	1	0	0	1	0	1	1	0	0	0	1	1	1	0	1	1	1	1	1	0	0	0	1	1	0	1	1	1	0	0	1	2	0	1	1	0	1	0	1	0	1
0	1	0	0	0	0	0	0	0	0	0	0	1	0	1	1	1	1	1	0	1	1	0	0	1	1	0	1	1	1	1	1	1	0	1	0	2	0	0	0	0	2	1	1	0	1	0	2	0	1	0	0	1	1	1	0	1	0	1	2	1	0	0	0	0	1	1	0	1	1	1	0	1	0	1	2	2	0	1	0	1	2	1	1	0	0	2	1	0	0	1	0	0	0	0	1	1	0	0	0	1
1	1	0	1	0	1	0	0	1	1	1	1	1	1	1	0	0	1	1	0	1	1	0	0	1	0	1	0	0	0	0	0	0	1	0	0	0	0	0	1	1	0	0	0	1	1	0	2	1	1	0	0	1	0	2	1	1	0	0	1	2	0	0	0	0	0	1	0	0	0	1	0	1	0	0	0	1	1	1	0	0	1	0	0	0	2	1	1	1	0	0	0	0	0	1	1	1	0	0	0	1
1	1	0	1	0	1	0	1	0	0	2	1	1	1	1	0	1	1	2	1	2	0	0	1	0	0	0	0	0	0	1	0	1	0	2	0	1	1	0	0	1	0	1	1	1	0	0	0	0	0	0	1	1	1	1	0	0	0	0	1	1	0	0	0	0	2	2	0	0	1	1	1	0	0	0	1	1	1	1	2	1	0	0	1	0	1	0	0	0	1	1	0	0	1	0	0	1	1	0	0	1
0	1	0	1	1	1	0	2	0	2	1	1	0	1	0	2	1	2	1	1	2	2	1	0	1	1	0	1	0	0	0	1	2	0	1	1	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	2	0	2	0	0	0	2	0	0	1	0	1	1	0	0	0	0	1	0	1	1	2	1	0	1	1	1	1	0	1	0	1	1	0	2	1	0	0	0	1	1	0	0	0	0	0	1
0	0	0	0	0	0	0	0	1	1	1	2	1	0	0	1	1	0	1	0	1	1	1	0	1	0	0	1	0	0	1	1	0	1	0	0	0	1	1	0	0	1	2	1	1	1	0	2	0	0	1	1	0	0	0	2	0	0	1	2	0	0	0	1	0	2	1	0	0	1	0	1	1	0	0	1	0	1	1	1	0	1	0	1	0	0	2	1	0	0	0	0	0	0	0	0	0	0	0	0	1
0	1	0	0	0	0	0	0	0	1	2	1	2	1	0	1	0	0	0	1	0	0	0	0	1	0	0	0	1	0	1	0	0	1	0	0	2	1	0	0	0	2	1	1	0	0	1	0	0	0	0	1	0	1	1	1	2	0	0	0	0	0	0	0	0	1	0	0	0	1	0	2	1	0	0	1	1	2	0	0	0	0	0	1	0	1	1	0	2	0	0	0	0	0	0	0	2	1	0	0	1
0	1	0	0	1	1	1	0	1	0	0	0	2	2	1	1	0	2	2	0	1	2	0	0	0	1	0	0	0	0	0	1	0	1	0	2	1	0	1	2	0	0	0	1	2	0	0	1	0	0	0	0	1	1	1	2	1	0	0	0	1	0	0	0	0	2	1	0	0	0	1	0	0	0	0	1	1	1	0	2	0	1	1	0	1	0	0	1	0	0	1	0	0	2	0	0	2	1	0	0	1
0	2	0	1	0	1	0	1	0	2	0	0	0	0	1	0	0	2	1	1	1	1	0	0	0	1	0	1	0	0	0	0	0	1	1	1	0	0	0	0	0	0	2	2	1	1	1	0	0	0	0	1	0	1	1	2	1	1	1	0	0	0	0	0	0	1	1	0	0	0	0	2	0	0	0	0	1	1	0	0	0	0	0	1	0	0	0	0	0	0	0	1	0	1	1	0	1	0	0	0	1
0	2	0	0	2	0	0	0	0	2	1	0	1	0	0	2	0	0	0	0	0	0	0	1	2	1	0	1	0	1	1	0	0	0	1	0	1	2	1	0	1	0	0	1	2	1	1	0	1	0	0	0	1	0	1	0	1	0	0	0	0	0	0	0	1	2	1	0	0	1	0	1	0	0	1	1	2	1	0	0	0	0	0	0	0	1	1	1	0	1	0	0	0	1	1	1	1	0	0	0	1
1	0	0	0	0	0	0	0	1	1	1	1	1	0	0	1	0	1	0	1	1	2	0	0	0	1	0	0	0	2	1	0	0	0	0	1	1	2	0	0	1	1	1	2	1	0	1	0	0	2	0	0	1	1	2	0	0	1	0	1	2	0	0	0	0	1	2	0	0	1	0	2	1	1	0	1	0	2	2	0	0	0	0	1	1	2	1	2	0	0	0	1	0	0	1	1	2	1	1	0	1
0	1	1	0	0	0	0	0	0	1	1	2	0	0	0	2	0	2	0	0	0	0	0	0	0	0	0	1	1	0	0	1	0	1	0	1	0	2	0	0	0	0	1	0	1	1	0	1	0	0	1	0	1	1	1	1	1	1	1	0	1	0	0	0	1	0	1	1	0	1	1	1	0	1	0	0	0	0	1	0	0	0	0	1	1	0	0	1	0	0	0	0	0	1	0	0	1	1	0	0	1
0	0	0	1	0	0	0	0	2	0	0	2	2	2	0	1	0	1	1	1	1	0	1	1	1	1	1	0	1	1	1	0	0	1	0	0	2	1	0	0	1	2	0	0	2	0	0	0	0	2	0	0	0	0	1	1	0	0	0	2	1	0	0	0	1	1	1	0	0	0	0	1	1	0	0	0	0	0	0	1	0	0	0	0	0	0	1	0	0	0	2	0	0	1	1	1	0	0	0	0	1
1	1	0	0	0	0	0	1	2	1	0	2	0	0	0	1	0	0	1	0	2	2	0	1	1	0	0	1	0	0	0	1	0	1	0	0	1	1	0	0	0	1	1	1	0	1	0	1	1	0	1	0	0	1	1	1	0	0	0	1	1	0	1	0	0	1	0	0	0	1	0	1	0	0	0	1	1	0	0	0	1	0	1	1	0	0	2	0	1	0	1	0	0	0	0	0	0	1	1	0	1
0	0	0	1	0	0	0	0	0	2	0	1	0	1	0	1	0	1	0	1	1	0	0	0	1	0	0	0	0	0	0	0	0	0	2	1	1	0	0	0	1	1	1	1	2	0	0	0	1	1	0	2	1	1	1	2	1	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	1	0	0	0	0	2	0	0	0	0	0	1	0	1	1	0	2	0	0	1	0	0	1	0	0	0	0	0	1
1	1	0	1	1	1	1	0	1	0	2	1	0	0	0	1	0	0	0	2	1	2	0	1	1	0	1	0	0	0	0	1	0	1	1	1	2	0	0	0	2	1	0	1	1	0	0	0	0	1	0	0	1	1	1	1	1	0	0	0	0	0	1	0	0	1	2	0	0	0	0	2	0	1	0	0	0	0	0	2	0	1	0	0	1	1	2	1	1	0	1	0	0	0	0	1	0	0	0	1	1
1	1	0	0	0	0	0	0	1	1	0	0	0	0	1	1	0	0	0	1	1	1	0	0	0	0	1	1	1	1	0	1	1	2	0	1	2	1	1	0	0	0	0	0	1	0	2	1	0	2	0	1	0	0	2	1	1	0	0	1	0	0	0	1	1	2	1	0	0	1	0	0	0	0	0	0	0	2	0	0	0	0	1	1	0	0	1	0	1	0	0	0	0	0	0	1	0	1	0	0	1
0	1	0	1	0	0	1	0	1	1	0	1	1	0	0	1	0	1	0	2	0	1	0	1	0	0	1	0	0	2	0	0	1	0	2	0	1	1	2	0	0	2	1	1	1	0	1	1	0	0	1	0	1	0	1	1	2	0	1	0	0	0	0	0	0	1	1	0	0	0	0	1	0	0	1	1	2	1	0	1	1	0	0	0	1	2	1	0	0	0	0	1	0	2	1	1	1	1	0	0	1
1	2	0	0	0	2	1	1	0	1	1	1	0	0	1	1	1	2	0	1	2	1	0	0	1	0	1	0	0	0	0	0	0	0	0	0	1	0	1	0	1	0	1	1	1	0	0	0	0	0	0	0	1	1	2	1	1	0	0	0	1	0	0	1	0	0	0	0	0	2	0	1	1	0	0	0	0	2	1	1	0	1	0	1	0	0	2	0	0	0	0	0	0	0	1	1	1	1	1	1	1
0	0	0	0	0	0	0	1	1	1	1	0	0	1	0	0	0	1	0	0	1	1	0	1	1	0	0	0	0	1	1	0	0	1	1	0	0	1	1	0	0	1	1	0	1	0	0	1	0	0	0	0	2	1	2	2	1	0	0	0	2	0	0	0	0	1	1	0	0	1	2	2	1	0	0	1	2	0	0	0	0	1	0	1	0	1	1	1	0	2	0	1	0	2	1	0	0	0	0	0	1
1	1	1	0	0	0	0	0	1	1	0	1	0	1	0	0	1	1	0	0	0	1	1	2	1	0	0	0	0	1	0	0	0	0	1	0	2	1	1	0	0	1	1	1	1	0	0	1	0	0	0	1	1	0	1	2	0	0	0	0	0	0	0	0	0	2	2	0	0	1	0	0	1	0	1	1	1	0	1	1	0	1	2	1	0	1	1	2	1	0	1	0	0	0	1	1	1	0	0	0	1
2	1	0	2	0	0	0	0	0	1	0	1	1	2	1	0	1	1	0	2	0	0	0	0	0	0	0	0	0	0	0	1	0	0	2	0	1	0	1	0	1	0	0	0	0	0	0	1	1	1	1	1	1	0	1	0	1	0	0	1	1	0	0	0	1	2	1	0	0	2	1	1	0	0	0	0	0	1	0	0	1	1	0	1	0	1	1	2	1	0	1	1	0	2	1	1	0	1	0	0	1
0	1	0	0	0	0	0	0	0	2	0	1	0	0	0	2	1	2	1	0	0	1	0	1	2	0	0	0	0	1	1	0	0	1	1	0	1	1	1	0	1	1	2	1	1	0	0	1	0	0	0	1	0	0	1	0	1	0	0	1	1	0	0	0	0	2	0	0	0	2	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	1	1	1	1	0	1	0	0	0	2	0	1	0	0	0	1
0	1	0	0	0	0	0	0	0	2	1	2	0	0	0	0	0	0	1	0	1	1	0	1	1	1	0	0	0	0	0	1	0	1	1	0	1	2	0	0	2	0	2	1	1	1	0	0	1	0	1	0	1	2	1	2	1	1	0	1	0	0	0	1	0	1	1	0	0	2	1	2	1	0	0	0	1	2	0	0	0	2	1	1	0	1	1	1	2	0	0	0	0	1	0	0	1	0	0	0	1
1	1	0	1	0	0	2	0	0	1	1	1	0	1	0	1	0	0	0	1	1	1	0	0	1	0	1	0	0	0	0	1	0	0	1	1	1	0	0	0	0	1	1	2	1	0	0	0	1	0	0	0	0	0	1	1	0	0	0	1	0	1	0	1	0	1	0	0	0	0	0	0	0	0	1	1	1	0	1	0	0	1	2	1	0	2	0	1	0	0	0	1	0	1	0	0	0	1	0	0	1
0	0	0	1	0	0	0	0	1	2	1	0	1	1	1	0	0	0	0	0	1	1	0	1	2	1	0	0	0	1	0	0	0	0	1	0	2	0	0	0	0	2	0	0	0	0	1	1	0	0	1	0	0	2	1	2	0	0	0	1	1	0	0	1	0	2	2	1	0	1	0	0	1	1	1	0	1	0	1	1	0	2	0	1	0	1	1	0	0	0	0	0	0	1	1	0	1	1	0	0	1
0	0	2	0	2	0	0	0	0	1	0	2	0	0	0	1	0	1	0	0	1	1	0	0	1	0	0	0	0	0	0	0	1	2	0	0	2	0	0	0	1	2	1	2	1	0	1	1	0	1	2	2	1	0	2	0	2	1	1	1	1	0	0	0	1	1	0	0	0	1	0	2	1	0	0	0	1	2	1	0	0	1	0	0	0	1	0	1	0	1	1	1	0	1	1	0	1	0	1	0	1
1	1	0	0	0	0	2	0	0	1	2	2	0	1	0	0	0	1	1	0	1	1	0	1	0	0	1	1	1	1	1	1	0	0	2	0	1	0	0	1	2	0	2	1	1	2	0	0	1	0	0	0	0	2	1	0	0	1	0	2	1	0	0	0	0	1	2	0	0	1	0	0	1	1	0	1	1	0	1	0	0	0	0	1	0	0	0	0	0	1	0	1	0	0	1	0	0	0	0	0	1
0	1	0	1	0	0	1	0	1	1	0	1	1	0	0	1	1	1	1	1	0	1	0	1	1	0	0	0	0	0	2	0	0	0	1	0	1	1	1	0	0	0	1	1	2	1	0	1	1	0	0	0	2	1	2	0	2	0	1	1	1	0	0	1	1	0	1	0	0	2	1	1	0	1	0	2	1	1	0	0	0	2	1	1	0	0	1	1	0	1	0	0	0	1	0	0	1	0	0	0	1
0	0	0	1	0	0	1	0	1	1	1	0	0	1	0	0	0	1	0	1	2	2	0	0	1	0	0	0	0	0	0	0	1	1	0	0	1	1	0	0	1	2	1	1	0	0	0	0	0	1	0	2	0	0	1	2	1	0	1	1	2	0	0	1	0	0	1	2	0	2	1	0	1	0	0	0	1	0	0	1	2	0	0	2	0	0	0	1	0	1	0	1	0	0	2	0	0	1	0	0	1
0	1	0	1	0	0	0	1	0	1	0	2	0	0	0	1	0	1	1	1	1	1	1	1	1	0	0	0	1	1	0	0	0	2	2	1	0	0	0	0	0	2	2	1	0	0	0	0	0	0	0	0	1	2	1	2	2	0	0	0	2	1	0	0	0	0	2	0	1	1	0	0	0	0	0	1	1	1	2	0	0	0	1	1	0	0	1	1	0	0	1	0	0	1	1	0	0	2	0	0	1
0	2	0	0	1	0	0	0	0	0	1	0	0	1	0	0	0	1	0	1	1	2	0	0	0	1	0	0	2	0	0	0	1	0	1	1	1	1	0	0	1	1	2	1	0	0	0	1	0	1	1	1	2	2	1	0	2	0	0	0	0	0	0	1	0	1	2	0	0	0	0	0	1	1	0	1	1	2	0	1	0	0	1	0	0	0	2	1	0	1	0	0	0	1	1	1	1	1	1	0	1
0	1	0	1	0	0	2	1	0	0	2	0	1	1	1	0	0	1	1	0	2	0	0	1	1	0	0	0	2	0	0	2	0	1	1	2	0	1	1	0	0	2	0	0	1	0	0	0	0	1	0	1	0	0	0	1	1	0	0	0	1	0	0	0	0	1	1	1	0	1	1	0	1	2	2	0	0	2	1	0	0	1	0	1	0	0	2	0	0	0	0	1	0	0	0	0	0	1	0	0	1
0	1	1	0	0	0	0	1	1	1	0	2	1	1	0	0	0	1	1	1	2	2	0	2	2	0	1	0	1	1	0	0	0	0	0	0	2	0	0	0	0	2	1	1	2	1	0	1	0	1	1	0	0	0	1	2	2	0	0	1	2	0	0	1	0	1	2	0	0	1	2	1	0	0	0	2	1	2	0	0	0	2	0	1	0	1	1	1	1	0	0	0	0	1	1	0	1	0	0	1	1
0	0	0	1	0	0	0	0	0	1	1	1	2	1	1	1	0	1	1	1	0	0	0	0	0	0	0	1	0	0	2	1	0	0	2	1	0	0	1	0	1	1	0	1	2	0	0	1	1	1	1	0	1	1	1	1	1	0	0	1	0	0	0	0	0	0	2	0	0	1	1	2	1	0	1	1	2	0	0	1	0	1	1	2	0	1	0	1	0	0	1	0	1	1	0	1	1	1	0	0	1
0	1	0	1	1	0	0	1	0	0	0	1	0	1	0	0	0	1	0	1	0	2	0	1	0	1	0	0	1	1	0	1	0	1	2	0	2	0	1	0	0	0	0	0	1	1	1	0	1	2	0	0	0	0	0	1	0	0	0	1	0	0	1	1	0	2	1	0	0	1	1	1	0	0	0	1	0	1	1	0	0	0	1	1	0	0	2	0	1	0	0	0	0	0	1	1	0	1	0	0	1
1	1	0	1	0	1	1	1	1	1	1	0	1	0	0	2	0	1	1	0	2	0	0	0	0	1	0	0	0	0	1	1	0	2	0	0	1	1	0	0	1	0	0	2	1	0	0	0	0	1	1	0	0	1	0	0	2	0	0	0	1	0	0	0	0	0	2	0	0	1	0	1	0	1	0	0	1	1	0	0	1	0	0	1	0	1	0	0	0	0	0	1	0	0	0	2	0	2	0	0	1
1	1	0	0	0	0	0	0	0	0	2	1	1	1	0	1	0	1	0	0	1	1	0	0	0	0	0	0	1	0	1	0	0	2	0	0	1	0	1	0	1	0	2	1	0	0	0	1	0	1	2	0	0	0	1	0	2	0	0	0	1	0	0	0	1	2	1	0	0	0	0	2	1	2	0	1	0	0	1	0	0	0	0	0	0	2	1	1	0	0	0	0	0	0	1	0	0	0	0	0	1
0	1	1	1	1	2	0	0	1	1	0	0	0	1	1	1	0	1	0	1	2	1	0	0	1	0	0	0	0	1	1	1	0	2	1	0	1	2	1	0	0	2	1	1	1	0	0	0	0	0	0	0	1	1	1	1	2	0	1	0	1	0	0	1	1	1	1	0	0	1	1	2	0	1	1	0	2	0	0	1	1	0	0	1	0	0	1	1	0	0	0	0	0	1	1	1	1	0	0	0	1
0	0	0	0	0	0	0	1	0	0	1	0	0	1	1	2	0	1	0	2	0	2	0	1	1	0	0	0	1	0	0	1	0	1	2	1	2	1	1	0	0	1	1	1	0	0	1	0	0	1	0	1	0	0	2	1	1	0	0	0	1	1	1	0	1	1	0	0	0	0	1	2	0	0	1	1	0	0	0	1	0	1	1	1	0	2	0	0	1	0	0	1	0	0	1	1	1	0	0	0	1
0	0	0	0	0	0	0	0	0	1	0	1	0	0	1	1	0	1	1	0	2	1	2	0	0	0	0	0	0	1	0	0	0	0	1	0	1	0	0	0	0	0	0	1	1	0	1	0	0	2	0	0	1	2	0	2	1	0	0	0	1	0	0	1	1	0	1	1	0	1	0	0	1	1	0	0	1	2	1	1	0	2	1	1	0	1	2	0	1	1	0	1	0	0	0	0	1	0	0	0	1
1	2	0	1	0	1	0	0	0	1	2	2	2	2	0	0	0	1	1	0	0	1	0	1	0	0	0	0	0	1	0	1	0	0	0	0	0	1	0	0	1	1	0	1	0	0	0	0	0	0	0	0	1	1	0	1	1	0	0	1	0	0	0	0	2	0	2	0	0	0	1	0	1	0	0	0	1	0	1	1	0	0	0	1	0	0	2	1	1	0	0	0	0	1	1	1	0	0	0	0	1
0	1	0	0	0	1	1	0	0	1	0	1	1	2	1	1	0	0	0	0	1	0	0	2	0	1	0	0	1	0	0	0	0	1	2	0	1	2	0	0	1	0	0	1	2	0	0	1	0	0	1	0	1	1	0	1	0	0	0	0	0	0	0	0	0	1	1	0	0	1	0	1	1	0	1	1	0	0	0	1	0	1	0	0	0	1	1	1	0	0	0	1	0	1	0	0	0	2	0	1	1
0	0	0	1	0	0	0	1	2	1	0	0	0	1	0	0	0	2	1	0	0	1	0	2	0	1	0	0	1	1	0	0	0	1	1	0	1	0	0	0	1	1	1	0	1	0	0	0	0	0	0	2	2	0	0	0	1	0	0	1	0	0	0	0	0	1	1	0	0	1	0	1	0	0	1	2	0	0	1	0	1	1	1	0	0	1	2	0	0	0	0	1	1	1	0	0	0	1	0	0	1
0	1	1	1	1	0	0	1	1	1	1	1	1	0	1	1	0	1	0	1	2	1	0	1	0	0	1	2	2	0	1	0	0	2	0	0	1	1	0	0	1	1	1	2	2	0	0	2	1	1	0	1	0	1	0	0	2	0	0	1	2	0	2	0	0	1	2	0	0	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	1	1	0	0	2	0	0	2	0	0	0	2	1	0	0	1
0	0	0	1	0	0	1	1	0	1	2	1	0	2	0	1	1	1	0	1	2	0	0	0	0	1	1	0	0	0	1	0	0	1	1	1	1	0	0	0	0	0	1	1	2	1	0	1	1	1	0	1	2	0	1	1	1	0	0	0	1	0	0	0	0	1	1	0	0	0	1	0	0	0	0	0	1	1	1	2	0	0	0	0	1	1	1	1	0	1	0	0	0	1	0	0	2	2	0	0	1
1	1	0	0	0	0	0	1	2	0	0	1	0	0	0	2	0	1	0	1	0	1	0	0	2	0	0	0	0	0	1	1	0	2	1	0	2	2	0	0	1	1	1	0	0	0	0	1	0	1	0	0	0	0	1	1	1	0	1	1	0	0	0	0	0	0	0	0	0	2	0	1	0	1	0	0	1	1	0	2	0	0	1	0	0	0	1	0	0	1	1	1	0	1	1	0	0	0	0	0	1
0	0	0	1	0	0	1	0	0	2	1	0	2	0	0	0	0	1	0	1	0	2	0	0	0	1	1	0	0	1	1	0	2	2	1	0	0	0	0	0	0	2	1	1	1	0	1	0	0	1	1	0	2	0	1	2	1	0	1	0	2	0	0	0	0	1	1	1	0	1	0	1	0	0	2	1	1	0	0	0	1	1	1	2	0	1	1	0	1	1	0	0	0	0	0	0	1	0	0	0	1
0	0	1	2	0	0	2	0	0	0	0	2	0	1	0	0	0	2	0	0	1	2	0	1	0	1	1	0	0	0	1	1	2	1	2	0	2	1	1	0	1	0	0	0	1	1	0	1	0	0	0	1	1	0	0	0	2	0	0	0	0	0	0	0	0	1	0	0	0	2	0	0	1	0	1	1	0	1	1	1	0	1	1	1	0	1	0	1	1	0	0	1	1	2	0	0	1	0	0	0	1
0	1	1	0	0	0	2	0	0	0	0	1	0	1	0	1	0	2	1	2	2	1	0	1	0	1	1	1	0	0	0	1	0	0	0	0	0	0	0	0	1	0	0	0	1	0	2	1	1	1	0	1	0	1	1	0	0	0	0	1	1	0	0	0	0	0	2	0	0	1	0	0	0	1	0	1	1	0	0	0	0	0	1	1	0	1	2	1	2	1	0	1	0	0	1	0	0	2	0	0	1
0	2	0	1	0	1	0	0	0	0	1	1	1	1	0	2	1	1	0	0	1	1	0	1	0	1	0	0	0	0	0	0	0	0	2	0	2	0	1	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	1	0	1	0	1	0	0	0	1	1	1	1	0	1	0	1	2	0	0	0	1	1	0	0	0	0	1	1	1	0	1	1	1	0	0	0	0	1	1	0	0	0	0	0	1
0	2	0	0	1	0	0	1	0	2	1	0	0	0	1	1	1	1	1	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	1	0	1	1	1	1	2	1	1	1	0	2	1	0	0	1	0	0	1	1	0	0	1	0	0	0	1	1	0	2	0	1	0	0	0	0	0	1	2	1	1	0	1	2	0	0	0	0	1	0	0	0	0	0	0	0	1
0	1	0	2	0	0	0	0	0	0	0	1	2	2	0	2	0	1	0	0	1	1	0	1	0	1	0	0	2	0	0	1	0	1	1	0	0	1	1	0	1	2	1	0	0	0	0	1	0	0	0	1	1	1	2	1	1	0	0	0	1	0	0	0	1	0	1	0	0	0	1	0	1	0	0	1	0	2	0	1	0	0	1	0	0	1	2	1	0	0	0	1	0	1	1	1	0	0	1	0	1
0	1	1	1	1	0	0	0	1	2	0	1	1	1	0	1	1	1	0	0	1	0	1	0	2	0	1	0	0	0	0	0	1	0	2	0	1	1	0	0	1	2	1	1	2	0	0	1	0	1	0	1	0	0	0	1	2	1	0	0	1	2	0	0	0	1	1	0	0	2	0	1	0	0	2	0	2	2	2	1	0	1	1	0	0	1	0	0	0	0	0	1	0	0	1	0	2	0	0	0	1
0	1	0	0	0	1	0	1	0	0	2	2	1	1	0	1	0	1	1	0	0	0	0	0	1	1	1	0	0	0	0	1	0	2	1	1	2	0	0	0	1	0	0	0	0	0	1	0	1	0	1	1	1	1	0	1	1	2	0	1	1	0	0	0	0	1	1	0	0	0	0	1	0	1	0	1	1	2	0	0	0	1	0	1	0	0	2	0	0	1	1	0	0	0	1	1	1	0	0	0	1
0	0	0	2	0	0	0	0	0	0	0	1	0	1	1	1	0	0	0	2	0	1	0	0	2	0	1	1	1	1	1	1	0	1	2	0	2	1	0	0	0	0	1	0	1	0	0	0	0	0	1	1	1	0	1	1	0	1	0	0	0	0	0	1	0	1	1	1	0	1	1	0	1	0	0	1	1	2	1	1	0	1	0	2	0	1	0	0	1	0	1	0	0	0	2	1	0	0	0	0	1
0	1	0	0	0	0	1	0	1	0	0	1	1	1	1	0	0	1	1	0	1	1	0	0	1	0	0	1	1	0	0	0	1	0	0	0	2	1	0	0	0	0	2	0	0	0	0	0	0	2	0	1	1	1	0	2	0	0	0	0	1	0	0	2	0	1	0	0	0	1	0	0	1	1	0	1	1	1	0	0	0	2	0	0	0	1	2	0	2	1	0	1	0	0	1	0	0	0	0	0	1
1	0	0	1	0	0	0	0	0	1	0	1	1	1	0	1	0	2	0	1	1	2	0	0	0	0	0	0	0	0	1	0	0	1	2	0	2	0	0	0	1	0	0	2	1	0	0	1	0	0	0	1	0	1	1	1	0	0	0	0	1	0	0	0	1	1	1	0	0	0	1	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	1	1	1	0	1	1	0	0	1	0	0	0	2	1	1
1	0	0	1	0	1	0	1	0	2	1	1	1	0	0	0	1	2	1	1	1	0	0	1	1	0	0	0	0	1	0	0	0	1	1	0	2	2	1	0	1	0	1	1	1	0	2	0	2	1	0	0	0	2	0	2	0	0	0	0	0	0	1	1	0	1	0	0	0	0	1	1	1	0	2	1	1	1	0	0	0	0	1	0	0	0	2	1	0	0	0	0	0	1	0	0	1	0	0	0	1
0	2	1	1	0	0	0	0	0	0	1	0	1	2	0	1	0	1	0	1	0	2	0	1	0	1	0	0	1	1	1	2	1	2	2	0	0	1	1	0	1	1	2	1	2	0	0	0	0	1	0	1	0	1	1	0	0	0	1	0	1	0	0	0	1	2	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	2	0	2	0	0	2	1	1	0	0	0	0	0	0	0	1	0	0	0	1
0	0	0	1	0	0	1	0	1	0	1	0	1	0	0	2	0	1	0	0	1	1	0	1	2	1	0	0	2	1	0	1	0	2	2	0	1	1	0	0	0	1	1	0	1	0	0	0	0	1	0	0	1	1	1	1	1	1	0	1	1	0	0	1	0	0	1	0	0	0	1	1	2	0	0	1	1	0	0	1	0	1	0	1	0	1	2	1	2	0	0	0	0	0	1	0	0	1	0	0	1
0	1	1	2	0	0	0	0	1	0	1	0	2	2	0	1	0	1	1	1	0	2	0	0	0	0	1	0	0	1	0	0	2	1	1	0	0	0	0	0	1	2	1	0	1	0	0	1	0	1	0	0	1	0	1	1	2	0	0	1	2	0	0	1	0	2	1	0	0	0	0	2	0	0	2	0	1	2	0	1	0	0	1	0	1	0	1	0	0	1	1	1	0	0	2	0	0	0	0	0	1
1	1	1	1	0	0	0	0	1	1	1	0	0	0	1	1	0	1	0	0	1	0	0	0	0	0	1	0	0	1	0	1	0	1	2	0	2	0	1	0	1	0	2	2	1	0	0	1	0	0	2	0	1	0	2	0	2	0	0	1	1	0	0	2	0	0	2	0	0	0	1	1	1	0	0	1	1	0	1	0	0	0	1	1	0	2	1	1	0	0	0	0	0	0	1	0	1	1	0	0	1
0	0	1	1	0	0	0	1	0	1	0	0	1	0	0	2	0	1	0	1	1	2	1	0	0	0	0	0	0	0	1	0	0	0	2	0	1	1	1	0	1	0	1	1	1	1	1	0	0	1	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	1	1	0	1	0	2	1	1	0	1	1	1	0	0	0	1	1	2	0	1	0	0	1	0	0	0	0	1	0	0	1	0	1	0	1
1	1	0	0	0	1	0	0	0	2	1	0	1	0	0	2	1	2	0	0	1	1	0	1	0	1	0	0	0	0	0	0	0	2	2	0	2	0	0	1	0	1	1	1	0	0	0	0	0	0	0	1	0	1	1	1	2	0	0	0	1	0	0	0	0	1	1	0	0	0	0	0	1	0	0	1	1	0	0	0	0	1	0	1	2	0	1	1	0	1	2	0	0	1	0	0	1	1	0	0	1
0	0	0	1	0	0	0	1	1	1	2	2	1	1	1	2	0	1	1	0	2	0	0	1	0	0	0	0	0	1	0	2	1	2	1	0	1	1	1	0	1	2	0	0	0	0	0	1	1	0	0	0	0	0	1	1	1	0	0	0	1	0	0	0	1	0	2	0	1	1	1	1	1	0	0	1	1	2	0	0	0	0	0	0	0	0	2	0	1	1	0	0	0	2	1	0	1	2	0	0	1
0	0	0	0	2	1	0	0	0	1	1	2	1	0	0	0	1	0	0	1	0	1	0	1	0	0	0	1	1	0	2	1	0	1	2	0	1	0	0	0	1	1	1	0	2	0	0	0	1	0	0	1	0	1	1	1	2	0	0	0	1	0	0	0	0	1	2	0	0	1	0	1	0	0	0	1	0	1	1	0	0	1	1	1	1	1	2	2	1	0	0	0	0	1	0	0	1	1	0	0	1
0	1	1	1	0	0	0	0	1	1	0	0	1	2	0	2	1	1	1	1	1	1	0	1	1	0	1	0	1	0	0	1	2	0	1	0	0	1	1	0	1	2	0	2	2	0	0	0	0	0	0	0	2	0	0	1	0	0	0	1	1	0	0	1	0	0	1	0	0	0	0	1	0	1	0	2	1	1	0	1	0	0	0	1	0	0	2	0	1	0	0	1	0	1	1	1	1	1	1	1	1
0	1	0	1	1	0	0	0	0	1	0	1	1	0	0	1	0	0	1	1	2	1	0	0	2	0	1	0	1	1	1	1	0	2	0	0	1	1	1	0	1	1	1	1	1	0	1	2	0	1	0	0	0	1	1	1	2	0	0	0	1	0	1	0	1	0	2	0	0	0	0	1	1	0	0	1	0	1	1	0	0	0	0	2	1	0	1	1	1	0	1	0	0	1	0	0	1	0	0	0	1
0	2	0	1	0	0	0	1	0	1	2	1	1	1	1	1	0	1	0	1	1	0	0	0	1	0	1	0	1	1	1	0	0	1	1	0	1	0	0	0	0	1	2	1	1	0	0	0	1	1	0	0	2	1	2	0	0	0	0	0	0	0	1	0	0	1	1	0	0	0	0	0	0	0	0	1	1	1	0	1	1	0	1	1	1	0	1	0	0	0	0	0	0	0	2	0	0	0	0	0	1
2	0	0	1	0	0	0	0	1	1	0	1	1	0	1	0	0	1	1	0	1	1	1	1	0	1	0	0	1	1	0	0	0	2	1	0	2	0	0	0	1	0	1	1	2	0	0	1	1	0	0	0	2	2	1	1	1	0	0	0	2	0	0	0	0	1	0	0	0	2	0	0	1	0	0	0	0	1	1	1	0	1	0	1	0	1	2	1	0	0	0	0	0	0	1	1	2	1	0	0	1
0	1	0	1	0	0	1	0	1	0	1	1	0	0	0	2	0	1	0	1	2	0	0	0	1	0	1	0	0	0	1	0	1	0	2	0	1	1	0	0	0	1	0	1	2	0	0	1	1	0	0	0	0	1	1	0	0	0	0	1	0	0	0	0	0	0	0	0	0	1	2	2	0	1	0	1	0	1	0	1	1	2	0	1	0	0	2	1	2	1	0	1	0	2	2	1	0	1	0	0	1
0	1	1	1	1	0	1	0	1	0	2	0	1	0	1	1	0	0	2	1	1	2	0	1	1	1	0	1	0	1	0	0	1	0	1	0	1	1	0	0	0	1	1	1	1	1	1	1	0	0	0	0	1	0	2	1	0	0	0	1	1	0	0	1	0	1	1	0	0	0	0	1	1	0	0	2	2	1	1	1	0	0	0	1	0	0	0	1	1	0	0	1	0	0	1	1	0	1	0	0	1
0	0	0	0	1	0	0	1	1	1	1	1	1	1	0	1	1	1	0	2	0	0	0	2	0	0	0	0	0	0	1	0	0	2	1	0	1	1	1	0	1	1	1	0	0	0	0	0	0	1	0	1	1	1	1	2	1	0	0	0	0	0	1	0	2	0	1	0	0	1	0	0	1	1	0	2	0	1	0	0	1	2	1	2	0	2	0	1	1	1	0	0	0	0	1	1	1	1	0	0	1
1	0	0	0	0	0	0	1	0	0	0	2	0	1	0	1	0	0	1	2	0	2	0	0	1	1	0	0	0	0	0	1	1	1	1	1	1	0	1	0	0	2	1	1	1	0	1	0	1	0	1	0	2	0	0	1	0	0	2	0	1	0	0	1	0	2	1	0	0	0	0	0	1	0	0	1	2	1	0	0	0	1	1	0	0	0	2	0	1	0	0	0	0	1	1	0	1	1	0	0	1
0	1	1	1	0	0	0	0	0	0	0	1	0	0	2	1	1	0	1	1	0	2	0	0	2	1	0	0	0	0	1	1	0	1	2	0	0	1	0	0	0	1	1	1	2	0	0	0	0	2	0	1	0	0	1	1	0	1	0	0	0	0	1	0	1	2	0	0	0	0	0	1	0	0	0	2	1	2	0	1	1	1	2	0	0	1	1	0	0	0	0	0	0	1	1	0	1	0	0	0	1
1	2	0	1	0	0	0	0	1	1	0	1	0	1	0	0	0	0	0	1	1	1	0	1	0	0	0	0	1	0	0	0	0	1	1	0	0	1	0	0	0	2	1	2	1	0	1	0	1	1	0	1	1	0	1	0	1	0	0	1	1	0	0	0	1	0	0	0	0	0	1	2	2	0	1	2	1	2	1	1	1	0	0	2	0	0	0	0	1	1	0	0	0	0	0	0	2	1	0	0	1
0	1	0	1	1	0	0	0	0	1	2	2	0	2	1	1	0	0	1	1	1	1	0	1	1	1	1	0	0	0	0	0	0	2	1	0	0	0	0	0	1	0	2	0	0	0	0	1	0	1	0	1	2	2	0	1	2	0	0	0	1	0	0	0	0	0	0	0	0	0	0	1	0	1	0	2	1	1	0	0	0	0	1	1	1	0	1	0	0	0	0	1	0	1	1	0	0	0	0	0	1
1	1	0	1	0	1	0	0	0	0	0	1	0	1	0	0	0	0	0	0	1	1	0	1	1	1	0	0	0	0	0	0	2	2	1	0	0	0	1	0	0	0	1	2	2	1	0	0	1	0	1	1	0	0	1	2	2	0	2	0	1	0	0	0	1	1	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	2	1	1	0	0	1	1	0	1	0	1	0	1	1	0	0	0	0	0	1
0	1	0	0	1	0	0	0	1	0	0	1	1	0	1	1	0	0	1	1	0	2	0	0	1	0	0	0	0	1	0	1	2	1	2	0	0	0	0	0	1	1	0	0	1	0	0	2	0	1	0	0	1	0	0	0	1	0	1	1	1	0	0	0	0	2	1	0	0	0	0	1	0	0	0	1	1	0	0	1	0	1	1	1	0	1	1	0	0	0	0	0	0	0	1	1	0	1	0	0	1
0	1	0	1	1	1	0	0	0	0	1	0	1	1	1	1	1	1	0	1	1	1	0	1	0	1	0	2	0	0	0	0	0	1	0	0	1	1	1	0	1	1	2	2	1	0	1	0	0	1	1	0	1	0	1	1	0	1	0	1	1	0	0	0	0	1	1	0	0	1	0	0	1	0	0	0	1	0	0	1	0	0	0	2	0	2	2	1	0	0	0	1	0	1	0	1	1	0	0	0	1
0	0	0	1	0	0	1	0	0	1	0	0	0	1	0	1	0	1	0	0	1	2	0	1	2	1	0	1	0	0	0	1	0	2	1	0	1	0	2	0	1	2	2	0	1	0	1	0	0	2	1	0	1	0	0	2	1	0	0	0	1	0	0	0	1	0	1	0	0	0	0	1	0	1	0	1	1	1	0	0	1	1	1	1	0	1	0	1	1	0	0	0	0	0	1	0	0	1	0	0	1
0	0	0	1	0	0	1	0	0	0	1	0	1	1	1	1	0	0	0	0	0	1	0	0	0	0	0	1	2	0	1	1	1	1	0	0	0	0	1	0	2	2	0	1	2	0	0	0	0	0	0	0	2	2	1	0	0	0	0	0	0	0	0	0	0	2	0	0	0	1	1	1	0	0	2	2	1	0	0	1	0	1	0	1	0	1	2	0	1	0	0	0	0	0	1	0	2	1	0	0	1
0	1	0	0	0	0	0	1	2	1	1	1	0	1	0	2	1	2	1	1	1	1	1	0	1	0	0	0	0	0	1	0	0	1	2	2	0	0	0	0	0	2	2	1	1	0	0	0	0	1	1	0	0	1	1	2	1	0	1	0	0	0	0	0	0	1	2	0	0	0	2	1	0	1	0	0	0	0	0	1	0	0	0	2	0	1	1	1	1	1	0	1	0	0	0	1	2	1	0	0	1
1	1	0	0	0	0	1	2	1	1	1	1	1	0	1	1	1	0	2	1	2	1	0	0	0	0	0	1	1	0	0	1	2	1	0	1	1	1	0	0	2	0	1	1	1	0	1	1	0	2	0	0	1	0	1	2	0	0	0	0	2	0	0	0	0	2	0	0	0	1	2	1	1	0	0	2	1	1	1	1	0	2	1	1	0	1	1	0	1	0	0	0	0	0	1	0	1	0	0	0	1
0	1	0	1	0	0	1	0	2	0	0	1	1	1	0	0	0	1	2	2	1	0	1	1	2	0	2	1	0	0	1	0	1	0	1	0	0	0	0	0	0	1	1	0	0	0	0	0	1	0	1	2	2	1	0	0	1	0	1	1	1	0	0	0	0	1	0	0	0	2	1	1	1	0	0	1	1	1	0	0	0	1	1	1	0	0	0	0	2	0	1	0	0	1	0	1	1	2	1	0	1
1	0	0	1	1	0	0	0	0	1	1	1	0	0	1	0	0	2	1	1	1	1	0	0	1	0	0	1	1	1	1	1	1	1	1	0	2	1	1	0	1	0	0	1	0	0	0	0	0	1	1	1	1	0	0	0	2	0	0	1	2	0	1	0	1	0	2	0	0	1	0	1	0	0	0	2	1	0	0	1	0	0	2	0	0	0	2	1	1	1	0	0	0	1	0	0	0	1	0	0	1
1	0	0	2	1	0	0	0	0	0	1	2	0	2	1	0	1	1	0	2	1	1	0	1	1	0	1	0	0	0	0	1	1	0	0	0	1	0	0	0	0	1	1	2	0	1	1	1	0	2	2	0	0	0	0	1	0	0	0	0	1	0	0	2	0	1	0	0	0	1	0	2	1	0	1	0	0	1	0	0	0	2	1	0	0	2	0	0	1	1	0	0	0	1	1	0	2	0	0	0	1
1	1	0	2	0	0	0	0	0	0	1	1	0	1	0	0	1	0	0	1	0	0	0	1	0	0	0	0	1	0	1	0	0	1	1	0	0	1	0	0	1	1	0	0	2	0	0	1	0	0	0	1	1	1	1	2	2	0	0	0	2	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	1	1	0	0	0	1	2	0	0	1	0	1	1	0	1	1	0	0	1	0	1	0	0	0	1
0	0	0	1	1	1	1	1	0	2	0	1	1	1	0	2	0	1	2	0	1	1	0	0	1	1	0	0	0	0	1	0	0	2	1	0	1	0	0	0	1	1	1	2	1	0	0	0	0	1	1	0	1	1	2	1	0	0	2	0	1	0	1	1	0	0	1	0	0	1	0	2	2	0	0	1	2	1	1	0	1	0	0	1	0	1	0	1	1	0	0	0	0	2	0	0	0	0	0	0	1
1	2	0	1	1	1	0	0	1	1	2	1	0	1	0	0	1	0	2	0	0	2	0	1	0	0	0	0	0	1	0	1	0	0	2	1	0	0	0	0	0	0	1	2	1	0	0	1	0	1	0	1	0	0	1	1	1	1	0	0	0	0	0	2	1	2	1	0	0	0	0	0	1	1	1	0	2	0	0	1	1	0	0	1	0	1	1	0	1	0	0	1	0	1	1	0	2	1	0	0	1
0	0	1	0	0	0	0	1	1	1	2	2	1	2	0	1	1	0	2	2	1	1	0	0	1	0	1	0	0	0	1	0	0	2	1	0	1	0	0	1	1	1	0	2	0	0	0	0	0	0	1	0	0	0	0	1	2	0	1	1	1	0	0	1	0	0	1	0	0	2	0	2	1	0	0	1	2	1	1	1	1	2	1	0	0	0	1	1	1	0	0	0	0	0	1	1	0	0	0	0	1
0	0	0	1	1	0	1	1	1	0	1	1	0	2	0	1	0	1	1	1	1	0	0	2	0	0	1	0	1	0	0	1	0	2	0	1	1	0	1	0	0	0	0	2	2	0	0	1	0	1	0	1	1	0	2	0	2	0	0	0	0	0	0	0	0	2	1	0	0	1	0	1	0	0	0	1	0	1	0	0	0	1	0	0	0	1	1	2	0	0	0	0	0	1	0	1	0	1	0	0	1
1	1	0	0	1	1	1	0	0	2	1	1	2	0	0	1	1	1	0	0	2	0	0	0	1	0	1	1	0	1	0	1	0	0	1	1	0	1	0	0	1	1	0	1	1	1	1	1	0	0	0	0	1	1	1	1	0	0	0	0	2	0	0	0	1	0	1	1	0	2	0	1	1	1	0	1	2	1	0	0	0	2	1	2	0	2	1	1	1	1	1	0	0	2	0	0	0	2	0	1	1
1	1	1	0	0	0	0	1	1	1	0	1	0	0	0	1	0	2	0	2	2	1	0	0	2	0	0	0	1	0	1	0	1	1	0	1	0	0	0	0	0	2	0	2	2	0	0	1	1	1	0	0	1	1	0	0	0	0	0	1	0	0	0	0	0	2	0	0	0	2	2	0	0	1	0	1	0	2	0	0	0	0	0	1	0	1	2	0	1	0	1	2	0	1	0	1	2	1	0	0	1
0	1	0	1	0	0	1	0	0	1	0	1	0	0	0	2	1	1	2	1	1	1	0	0	0	2	0	0	0	0	0	1	0	1	0	1	1	0	0	0	0	0	1	1	2	0	0	0	1	0	1	0	2	2	1	0	1	0	0	0	1	0	0	1	0	1	1	0	0	1	1	1	0	0	1	0	1	0	1	0	0	1	0	1	0	0	1	0	0	0	0	0	0	1	1	1	1	1	0	0	1
0	1	0	0	0	0	0	0	1	1	1	2	0	0	1	2	0	1	1	2	0	0	0	0	1	0	1	1	0	2	0	2	0	2	0	0	0	0	0	0	0	1	1	1	1	0	0	0	0	2	0	0	2	2	0	0	0	0	0	0	1	0	0	0	0	0	0	1	0	0	0	1	1	2	0	1	0	1	1	1	0	2	1	0	0	0	1	1	1	0	1	1	0	0	0	0	1	0	0	0	1
0	1	1	1	1	0	1	0	0	1	2	1	0	1	1	2	1	0	2	2	1	0	0	0	0	0	0	1	1	1	0	1	1	0	1	0	1	0	0	0	1	1	2	0	1	1	0	1	1	0	0	0	1	1	0	2	1	0	0	1	1	0	0	1	0	2	0	0	0	0	0	0	0	1	0	1	1	2	1	0	0	0	0	1	0	1	1	0	0	0	1	0	0	1	1	0	0	0	0	0	1
0	0	1	1	0	0	1	0	2	0	0	0	0	1	0	1	0	1	1	0	1	0	1	1	1	1	2	1	0	1	1	0	2	1	1	2	1	0	1	0	1	1	1	1	1	0	2	0	0	1	1	0	0	2	2	1	1	0	0	1	1	0	0	1	0	1	0	0	1	0	0	2	1	1	0	1	1	2	0	1	0	0	0	1	1	1	2	1	0	0	0	0	0	0	1	0	0	1	0	0	1
1	2	0	0	1	0	0	0	1	0	0	2	1	1	0	1	2	2	0	1	2	0	0	1	0	0	0	0	0	0	0	0	0	0	1	0	1	2	0	0	1	0	1	2	1	0	0	1	2	0	0	1	0	1	0	1	0	0	0	1	1	0	0	0	0	1	0	0	0	2	0	0	0	0	0	2	1	2	0	1	0	2	0	1	0	1	2	0	1	0	1	0	0	0	0	0	0	0	0	0	1
0	0	0	1	1	0	1	0	1	0	2	2	0	0	0	0	0	1	0	0	1	1	1	0	2	0	0	0	0	2	0	0	0	1	0	1	1	1	0	0	2	1	1	0	0	0	1	0	0	1	0	0	0	1	2	1	1	0	0	0	0	0	0	0	0	2	1	0	0	0	1	0	0	0	0	1	0	1	0	0	0	0	0	2	0	0	1	1	2	1	0	0	0	2	1	1	1	1	0	0	1
1	1	1	1	1	1	0	0	1	1	2	1	1	0	0	1	0	0	1	1	0	1	0	1	0	0	0	1	0	1	1	1	0	1	1	0	1	1	1	0	1	0	1	1	1	0	1	1	1	2	0	0	0	1	0	0	2	1	1	0	1	0	0	0	0	1	1	0	0	1	0	0	2	2	0	1	1	0	1	0	1	0	0	1	0	1	1	1	1	0	0	0	0	1	1	1	1	1	0	0	1
0	0	0	1	1	0	0	0	0	0	1	1	1	0	0	1	0	1	0	1	1	0	2	0	0	0	0	1	1	1	0	1	1	1	0	0	1	0	0	0	0	1	0	2	1	0	1	1	0	1	0	1	0	0	1	0	2	0	0	0	1	0	0	0	0	1	2	0	0	0	0	0	0	1	0	0	1	1	0	0	0	0	0	1	0	2	1	0	1	1	0	1	0	0	0	0	1	0	1	0	1
0	1	0	1	0	0	0	1	0	1	2	0	0	0	0	2	0	1	0	1	1	0	0	0	0	0	2	0	2	0	1	1	0	2	1	0	0	2	0	0	1	1	1	2	0	0	0	0	0	0	0	1	1	0	0	2	0	0	0	0	1	0	0	0	0	0	0	1	0	0	1	2	1	0	1	1	0	0	1	1	1	1	2	1	1	1	0	1	1	0	0	1	0	0	0	0	0	1	0	0	1
0	0	0	0	0	0	0	0	0	1	1	2	0	1	1	1	0	0	1	1	1	0	0	0	2	0	2	0	2	0	0	0	0	2	1	2	1	0	0	0	1	2	1	2	0	1	0	2	0	1	0	0	1	2	0	1	0	0	0	1	1	0	0	0	0	0	1	0	0	1	1	0	1	1	1	1	0	0	0	1	1	1	1	2	0	1	1	1	1	0	0	0	0	0	1	1	1	0	0	0	1
0	2	0	0	1	1	0	0	0	2	0	2	0	1	1	1	0	1	0	1	0	1	0	1	0	0	1	0	0	1	0	0	0	1	1	0	1	1	1	0	1	2	0	0	1	0	0	0	1	1	1	1	0	1	1	2	0	0	0	0	0	0	1	1	0	1	1	0	0	0	1	0	0	0	0	1	1	1	0	1	0	1	0	2	0	1	1	0	1	0	0	2	0	1	2	1	1	0	0	0	1
0	0	0	1	0	0	0	1	0	1	1	2	0	0	0	0	1	2	2	0	0	1	0	2	0	1	0	0	0	1	0	0	0	2	0	0	2	1	0	0	2	0	2	1	2	0	0	1	0	1	0	2	2	0	0	1	0	0	0	0	1	0	0	0	0	0	2	1	0	1	1	1	2	1	0	0	0	1	0	0	0	0	0	0	0	1	1	0	0	1	0	0	0	1	0	1	1	0	0	0	1
0	0	0	1	0	0	0	1	0	0	0	1	1	0	0	1	0	1	1	2	1	1	1	0	1	0	0	1	1	0	1	0	0	1	1	0	0	0	0	0	2	1	1	2	1	1	0	1	0	1	2	1	0	1	2	1	0	0	1	1	1	1	0	0	0	1	2	0	0	2	1	2	2	1	1	0	1	2	0	0	0	2	0	0	0	1	1	1	1	0	0	0	0	0	0	1	1	1	0	0	1
1	1	0	0	0	0	1	0	1	0	0	2	0	2	0	1	0	1	1	0	1	0	0	2	2	0	0	0	1	0	0	1	0	1	1	0	1	1	0	0	0	0	1	2	1	1	1	1	0	1	0	0	2	1	2	1	1	0	0	1	0	0	0	1	1	0	2	0	0	2	0	0	0	0	0	0	2	0	1	0	1	0	0	1	0	1	1	1	0	0	0	1	0	1	0	0	0	0	0	0	1
1	2	0	0	0	1	2	0	0	0	0	0	1	1	1	1	0	0	1	1	1	1	0	1	1	0	0	0	0	0	0	0	0	0	1	0	1	0	0	1	0	0	0	0	1	1	0	1	0	0	1	1	1	1	0	0	1	0	0	1	2	0	1	0	1	0	0	0	0	0	0	2	2	0	0	0	0	1	1	1	0	0	0	0	0	0	0	1	1	1	0	1	0	1	2	0	0	1	0	0	1
0	0	0	1	1	0	0	0	1	1	0	1	0	1	0	0	0	1	0	1	2	1	0	2	1	1	0	1	1	1	0	1	0	1	1	0	0	0	0	0	0	2	1	0	1	0	0	1	0	0	1	0	0	1	1	2	2	0	0	2	0	0	0	0	0	0	1	0	0	0	0	2	1	0	1	2	0	1	1	0	0	1	1	0	1	1	0	0	1	0	0	1	0	0	1	1	1	0	0	0	1
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1	1	0	1	1	0	0	0	1	2	0	0	0	0	0	0	0	2	0	2	1	1	0	0	2	0	0	0	0	0	0	0	0	1	0	0	1	1	1	0	1	0	1	2	1	0	1	1	1	0	0	1	1	2	0	1	2	0	0	1	1	0	0	1	1	0	2	0	0	1	0	0	0	0	1	1	1	2	0	0	0	0	0	0	0	1	1	0	1	0	1	0	0	1	1	0	1	0	0	0	1
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1	1	0	1	0	0	0	0	1	2	0	2	1	1	2	1	0	1	0	1	0	2	0	0	2	1	1	0	0	1	2	1	0	0	0	1	0	1	1	0	1	1	1	1	1	0	1	0	1	0	0	0	1	0	1	0	1	1	0	1	2	1	0	0	0	2	1	0	0	0	1	1	1	1	0	0	1	0	0	0	0	1	1	1	0	2	1	0	1	0	0	0	0	1	0	0	1	1	0	0	1
0	0	0	2	0	0	1	0	1	1	2	2	1	0	1	2	1	1	0	1	1	2	0	2	1	0	1	0	1	0	1	0	0	2	2	0	1	0	0	0	0	1	0	1	2	0	0	1	0	0	0	1	1	1	1	0	2	0	0	0	0	0	1	0	1	1	1	0	0	1	0	1	0	0	0	1	1	0	1	1	0	0	1	0	0	1	1	1	2	0	0	0	0	1	1	1	1	0	0	0	1
0	0	0	2	0	0	0	0	1	0	1	1	1	1	0	1	0	1	0	2	0	1	1	0	0	0	0	0	1	1	1	1	0	1	1	0	2	1	1	0	1	0	2	0	1	0	0	1	0	0	0	0	0	1	1	1	1	0	1	2	0	0	0	2	0	1	2	0	0	0	1	1	0	2	0	1	1	0	0	0	0	1	2	0	0	1	1	1	0	0	0	0	0	0	1	0	0	0	0	0	1
0	1	1	0	0	0	0	0	0	0	1	0	0	1	0	1	0	0	1	0	1	1	0	0	0	0	1	0	0	0	1	1	1	0	1	0	1	0	0	0	2	2	1	1	2	1	0	0	1	0	2	0	1	1	0	1	1	1	0	1	0	0	0	1	0	1	2	0	0	0	0	1	2	0	1	2	0	2	0	1	0	2	0	2	0	1	0	2	0	0	1	0	0	2	1	0	2	0	0	0	1
0	0	0	0	0	0	1	0	1	0	0	1	1	1	0	0	0	2	1	2	1	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	1	0	0	0	1	0	0	0	0	1	0	0	1	1	2	1	0	0	0	0	1	0	0	1	1	2	0	0	0	0	0	1	0	0	1	1	1	1	0	0	1	0	0	0	0	1	1	0	1	0	0	1	1	1	1	1	0	0	0	0	1
1	2	0	1	0	1	0	0	1	1	0	0	0	0	0	0	0	1	1	0	2	0	0	0	1	1	0	0	0	0	0	0	0	0	2	0	0	0	2	0	1	1	2	2	0	1	1	0	0	1	0	0	0	0	2	1	0	0	1	0	1	0	0	0	0	1	0	0	0	1	1	0	1	0	0	0	1	2	1	0	1	0	1	1	1	0	0	1	1	0	0	0	0	0	2	1	1	0	0	0	1
0	0	0	0	0	0	0	1	1	0	2	1	1	1	0	0	0	1	1	1	0	1	0	0	0	1	0	0	0	0	0	1	0	1	0	0	1	1	0	0	1	1	0	1	1	1	0	0	1	1	0	0	0	1	2	1	2	0	0	0	1	0	0	1	0	1	2	1	0	1	0	1	2	0	0	2	1	1	1	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	1	1	0	0	1	1
1	2	0	0	1	0	1	2	1	1	2	1	2	1	0	1	0	0	0	0	0	2	0	1	0	0	1	0	0	1	2	0	0	1	1	0	0	0	1	0	0	0	2	2	2	0	2	0	1	1	0	1	0	2	1	0	0	2	1	1	1	0	0	0	0	1	2	0	0	0	1	1	0	0	0	1	0	1	0	0	0	1	0	0	0	2	0	1	1	0	0	0	0	0	0	0	1	1	0	0	1
0	1	0	1	0	1	0	0	0	1	0	1	1	1	0	2	0	0	2	1	0	1	0	0	1	0	0	1	0	1	0	1	0	0	2	0	1	0	1	0	1	0	1	2	1	0	0	1	0	2	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	1	0	1	0	0	0	2	0	0	0	1	1	0	1	1	0	1	0	1	1	0	2	1	0	0	1
0	1	0	2	0	0	2	0	1	0	1	2	0	0	0	2	0	0	2	1	1	1	0	1	1	0	0	1	0	0	1	2	0	0	0	0	2	1	0	0	1	1	1	1	1	0	0	1	0	0	0	1	1	0	0	0	0	0	0	0	1	0	1	0	0	1	0	0	0	0	1	0	0	1	0	0	1	0	0	2	0	0	0	1	0	1	1	0	1	0	0	0	0	0	0	1	1	1	0	1	1
0	1	0	1	1	0	1	0	2	1	2	0	1	1	0	2	0	2	0	1	0	1	0	0	1	2	0	0	0	0	0	0	1	1	1	1	1	0	0	0	2	1	0	2	1	0	0	0	0	1	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	1	1	1	0	0	0	1	0	1	1	2	0	0	1	0	1	0	1	1	0	1	1	1	0	0	1	1	0	1	0	0	0	2	0	0	1
1	2	0	1	0	0	0	1	1	1	1	0	0	2	0	1	0	1	2	0	1	1	0	1	0	0	0	0	0	1	2	0	0	0	0	0	0	1	0	0	0	1	1	1	1	1	0	2	1	2	0	1	0	0	0	1	1	0	0	1	1	0	0	0	0	2	1	0	0	1	0	0	2	0	1	0	2	1	0	0	1	1	2	0	0	0	1	2	0	0	0	0	0	0	0	0	0	1	1	1	1
0	1	0	0	0	0	0	0	1	1	0	0	1	1	0	1	0	1	2	0	0	1	0	1	0	0	0	0	1	1	0	0	0	1	2	0	2	0	0	0	0	1	0	0	1	0	0	1	0	0	1	0	0	0	1	0	1	0	0	0	1	0	0	0	1	1	1	0	0	1	0	1	2	1	0	0	0	2	1	0	1	1	1	0	0	1	0	1	2	0	0	1	0	0	1	0	0	0	0	0	1
1	0	0	0	0	0	2	0	1	0	1	1	0	0	1	0	0	1	1	2	2	1	0	0	0	0	0	0	0	0	0	0	0	0	1	0	1	0	0	0	0	1	2	2	1	1	1	0	0	1	2	1	1	0	1	0	2	0	0	1	0	0	0	1	0	0	0	0	0	0	0	2	1	0	0	1	1	0	0	1	0	0	0	0	0	2	1	0	0	0	0	0	0	0	0	1	1	0	0	0	1
1	1	0	0	0	0	0	0	1	1	0	2	0	1	0	1	0	1	2	1	1	2	0	0	0	0	0	0	1	2	0	1	0	1	1	0	1	2	0	0	0	1	2	0	1	0	1	1	0	1	0	0	2	1	0	1	1	0	0	0	1	0	1	1	0	1	2	0	0	0	0	0	0	0	1	1	2	1	0	0	0	1	0	0	0	1	1	1	2	0	0	0	0	2	0	1	1	1	0	0	1
0	0	0	1	0	0	2	0	1	1	0	1	0	1	1	1	0	0	0	0	0	1	0	0	2	1	1	0	0	0	0	0	1	1	2	0	1	1	1	0	1	2	2	2	0	0	0	0	0	1	0	0	2	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	1	1	1	1	1	0	1	1	1	0	0	1	1	1	0	0	0	1
0	2	0	0	0	1	1	1	1	1	1	2	1	2	1	0	1	0	0	0	0	1	1	1	0	0	0	0	1	1	0	1	0	0	1	0	1	0	1	0	0	1	1	1	2	0	0	1	0	1	0	2	0	1	0	1	0	0	0	0	0	0	1	1	0	0	1	0	0	1	0	0	0	0	1	2	2	2	1	1	1	1	1	1	0	1	2	1	1	1	0	0	0	1	1	0	0	1	0	0	1
1	0	0	1	0	0	1	0	0	1	1	0	0	1	0	1	1	0	0	1	2	0	0	0	1	1	0	0	1	0	0	1	1	1	1	0	1	1	1	0	2	1	1	1	2	0	0	1	0	1	0	0	1	1	0	1	0	0	0	0	1	0	0	1	0	1	1	0	0	1	0	0	0	0	0	2	1	1	1	0	0	1	0	1	1	2	1	1	1	0	0	1	0	0	0	0	1	0	1	0	1
0	0	0	1	0	0	0	0	0	0	0	1	1	1	0	0	0	2	1	0	1	1	0	1	0	1	1	0	2	1	0	2	1	1	0	0	1	1	0	0	1	1	2	2	2	0	1	0	1	0	0	0	0	1	1	1	1	1	0	0	1	0	0	1	0	0	0	0	0	0	2	1	2	0	0	1	0	1	1	0	0	2	1	0	0	1	1	1	0	1	0	0	0	0	0	0	0	0	0	0	1
0	2	0	0	0	0	0	1	1	0	0	1	1	1	1	2	0	1	1	0	0	0	0	1	1	1	0	1	0	0	1	1	0	0	1	0	1	1	0	0	0	1	0	1	1	0	1	1	0	1	0	1	1	0	1	1	1	0	0	1	0	0	0	0	0	1	2	0	0	0	0	2	1	0	0	1	0	2	0	1	0	1	1	2	0	2	0	1	0	0	0	0	0	0	0	0	0	1	0	0	1
1	0	0	2	1	0	0	0	0	2	1	0	0	2	1	2	1	1	0	1	0	2	1	0	0	1	0	1	0	1	0	0	0	1	1	0	0	0	1	0	0	1	1	1	0	0	0	2	0	0	2	0	0	0	0	0	2	1	0	0	0	0	0	0	0	2	1	0	0	0	0	1	1	0	0	1	0	0	0	1	0	1	0	0	0	2	0	2	1	1	0	1	0	1	0	0	1	1	1	0	1
0	1	0	1	0	0	0	1	1	0	1	0	0	1	0	1	0	0	2	1	1	1	0	0	1	0	0	0	0	1	0	0	0	1	1	0	2	0	0	0	1	0	0	1	1	0	0	1	0	1	0	1	1	1	0	1	1	0	0	1	1	0	0	0	1	1	2	0	0	0	1	1	0	0	0	1	1	0	2	1	0	0	1	0	0	1	1	2	0	0	1	1	0	2	1	0	1	0	0	0	1
0	0	1	2	0	2	0	1	1	1	0	2	1	0	1	2	0	0	0	0	1	2	0	0	1	0	0	0	0	0	1	1	1	1	1	0	2	1	1	0	0	1	1	2	0	0	0	1	0	0	0	0	1	2	2	1	1	0	0	1	1	0	0	0	1	1	1	1	0	1	1	1	0	0	0	0	1	2	0	1	0	1	0	0	0	2	2	1	0	0	1	0	0	2	1	0	2	0	0	0	1
0	1	0	0	0	0	0	0	0	2	1	1	1	2	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	1	1	0	0	0	1	1	1	1	1	0	0	0	1	0	0	1	1	1	1	1	1	0	0	2	0	1	1	1	1	0	1	0	0	0	0	1	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	2	0	0	1	0	0	0	0	1	0	0	0	1
0	2	0	0	0	1	0	1	0	2	2	1	1	0	0	2	0	0	1	1	1	1	0	1	1	1	0	0	1	0	0	1	0	0	1	0	0	2	0	0	1	1	1	2	0	0	0	1	1	1	1	1	0	1	1	2	2	0	1	2	1	0	1	1	0	0	0	0	0	1	0	1	0	0	1	1	1	2	1	1	0	1	0	0	0	2	1	1	0	0	0	0	0	0	2	1	0	2	0	0	1
0	0	0	1	0	1	1	0	0	1	0	1	1	0	0	2	0	0	1	0	0	0	0	0	1	0	0	0	1	1	1	0	0	0	1	1	2	1	0	0	0	1	1	0	0	0	1	1	1	0	0	0	0	0	0	1	1	0	1	2	2	0	0	1	0	1	2	0	0	1	2	0	2	0	0	0	0	1	2	0	1	2	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1
0	2	0	0	0	0	0	0	0	1	2	1	1	1	1	1	0	0	1	2	1	0	0	0	1	0	0	0	0	0	1	0	0	2	1	0	1	1	0	0	0	2	1	1	1	0	0	0	0	0	1	0	1	1	1	2	1	0	0	0	2	0	0	0	1	0	1	1	0	0	0	2	0	0	1	2	2	1	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	1	1	1	2	0	0	1
0	2	0	0	1	0	0	0	1	0	2	1	0	0	0	1	0	1	1	1	0	1	0	0	1	0	0	0	1	0	1	0	0	0	1	1	1	1	0	0	1	1	0	1	2	0	0	0	1	1	0	0	2	0	0	1	1	0	0	1	0	0	0	1	0	1	1	0	0	1	0	0	1	1	0	1	2	1	1	1	0	1	0	1	0	1	1	1	0	0	0	2	0	1	0	1	1	0	0	1	1
0	2	1	1	0	0	0	0	1	1	1	1	0	1	1	1	0	1	1	1	0	1	0	0	0	0	0	0	0	0	0	0	1	0	0	1	0	1	1	0	0	0	1	0	2	0	0	0	0	2	0	0	1	1	0	1	1	0	0	0	0	0	0	1	0	2	2	0	0	1	0	2	0	0	0	2	1	1	1	0	0	2	2	0	0	0	1	1	1	0	0	1	0	1	0	0	0	0	0	1	1
1	2	0	0	0	0	1	0	1	0	1	1	0	0	1	1	0	0	1	2	1	1	0	0	2	0	0	0	0	0	0	0	0	1	1	0	1	0	1	0	1	0	1	1	1	1	1	1	0	1	0	0	1	0	0	0	2	0	0	0	1	0	1	1	0	1	0	1	0	0	0	1	0	0	1	2	1	1	1	1	0	1	0	0	0	0	0	1	1	0	1	1	0	0	0	0	1	0	1	1	1
1	1	0	0	0	1	0	1	0	1	2	2	1	1	0	2	1	0	1	0	1	1	0	1	1	0	1	1	1	0	0	1	0	0	2	0	0	0	1	1	0	1	0	0	2	0	2	1	0	1	0	1	1	1	2	0	1	0	0	0	0	1	0	0	1	0	1	0	0	0	0	2	1	1	0	0	0	1	1	0	0	2	1	0	1	1	1	1	0	0	0	0	0	2	1	1	1	1	0	0	1
0	0	0	0	0	0	1	0	1	0	0	0	1	1	0	1	0	0	0	1	1	1	0	0	1	1	1	0	0	0	0	0	1	1	0	0	1	0	0	0	1	2	1	1	1	0	1	1	0	1	1	2	2	1	2	0	0	1	2	0	0	0	1	0	0	0	1	0	0	0	0	2	0	1	0	1	1	1	0	1	0	0	1	1	0	2	0	0	1	0	0	0	0	0	0	0	0	0	1	1	1
0	1	1	1	0	0	0	0	0	1	0	0	1	0	0	0	1	0	0	0	1	0	0	1	1	1	0	0	0	0	2	0	1	0	1	0	1	0	0	0	0	2	2	2	2	0	0	1	0	1	0	1	1	1	1	0	2	0	0	1	1	0	0	0	0	1	1	0	0	0	0	1	1	0	0	1	0	1	0	1	1	1	0	1	0	1	1	0	1	0	0	1	0	0	1	0	1	0	0	0	1
0	0	1	1	1	0	0	1	1	1	1	0	0	2	0	1	0	0	1	1	1	2	1	1	2	0	0	0	0	1	0	1	0	1	0	0	1	1	0	0	0	1	1	1	0	0	1	1	1	0	0	0	1	0	1	1	1	0	0	0	2	0	0	0	0	1	1	0	0	1	0	0	1	1	1	1	1	0	0	0	0	1	0	1	0	1	1	0	0	0	1	0	0	2	0	0	0	0	1	0	1
0	2	0	2	0	1	0	0	0	0	1	1	1	0	0	0	0	0	1	1	1	1	0	0	0	1	0	0	1	1	1	0	1	1	1	0	0	0	1	0	0	1	1	1	1	1	1	1	0	0	0	1	0	0	1	0	2	0	1	0	2	0	0	0	1	0	2	0	0	0	0	0	1	0	0	0	1	1	0	0	0	1	0	1	0	1	2	1	2	0	0	1	0	0	1	0	1	0	0	1	1
0	2	0	1	0	1	0	0	1	0	0	2	1	1	0	1	0	2	1	0	1	0	1	0	0	1	0	0	0	0	2	0	1	1	0	0	1	1	0	0	2	0	0	2	0	1	2	0	1	0	0	0	1	0	1	1	0	0	1	2	1	0	1	0	0	1	1	0	0	0	1	0	1	0	0	1	2	1	1	0	0	2	0	0	0	2	2	0	2	0	0	0	0	0	1	1	0	1	0	0	1
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1	2	0	0	0	1	0	1	2	0	0	2	1	2	0	0	1	1	1	1	2	2	0	2	0	1	0	1	0	1	0	0	1	1	0	0	1	0	0	1	1	0	2	2	1	0	1	0	0	1	0	1	0	0	1	1	1	0	0	0	1	0	0	0	0	2	2	0	0	0	1	0	0	0	0	0	0	2	1	0	0	1	1	1	0	2	1	1	1	1	1	0	0	0	1	1	1	2	0	0	1
0	1	0	1	1	2	1	0	1	1	0	0	1	0	2	1	0	2	0	1	2	2	0	0	0	0	0	1	1	0	1	1	0	1	1	0	2	0	1	0	0	1	1	2	1	0	0	0	1	1	0	0	1	2	1	0	1	1	0	0	1	0	0	1	0	1	1	0	1	0	1	1	1	1	1	1	1	1	0	0	0	0	0	2	0	2	1	2	0	0	0	1	0	1	0	1	1	0	0	0	1
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1	2	0	0	1	0	0	0	1	1	0	2	0	0	0	2	0	1	0	1	0	2	0	1	0	0	1	2	1	0	1	0	0	1	0	0	2	0	2	0	1	0	0	0	2	0	1	0	0	1	0	0	0	1	0	2	2	0	1	1	1	0	0	0	1	1	1	0	0	1	1	0	0	0	0	0	0	1	0	0	1	2	1	1	0	1	1	0	1	0	0	1	0	0	0	1	1	0	0	0	1
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1	0	0	1	0	0	0	1	2	1	1	1	0	1	0	1	0	0	1	1	1	1	0	1	2	2	0	0	0	0	0	1	1	2	0	0	1	1	0	0	0	2	1	1	0	0	0	1	0	2	0	1	0	0	1	0	1	0	1	2	1	0	0	0	0	2	2	0	0	0	1	1	2	1	0	0	1	0	1	0	1	0	0	0	0	0	1	0	0	0	0	1	0	1	2	1	1	1	1	0	1
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1	1	0	2	0	0	0	0	1	2	0	0	0	1	0	0	0	1	1	0	0	2	1	0	0	0	0	0	0	1	0	1	0	1	0	0	0	0	0	0	1	0	0	1	2	0	0	1	1	0	0	0	1	0	0	0	1	0	0	1	1	0	0	0	2	0	0	0	0	1	0	2	0	0	0	1	0	0	1	1	0	1	0	1	0	1	0	0	1	0	0	0	0	1	1	0	1	0	2	1	1
1	2	1	1	0	0	0	0	0	0	1	2	2	0	0	0	0	1	1	0	1	2	0	0	0	1	0	0	1	1	0	0	0	0	1	0	2	1	0	0	0	2	1	1	1	0	0	1	0	2	0	0	1	0	1	1	0	0	0	1	2	0	0	0	1	0	0	0	0	0	0	1	0	0	0	1	1	1	0	1	0	0	1	1	0	2	2	0	1	0	1	1	0	0	1	0	1	0	0	0	1
1	0	0	0	0	0	0	1	1	0	1	1	2	1	0	0	0	1	0	0	1	1	0	1	2	0	0	0	0	0	0	2	1	0	2	0	0	0	1	0	0	1	1	0	1	1	0	1	0	2	1	0	1	0	1	1	1	0	0	1	0	0	0	0	0	0	2	0	0	1	0	1	0	1	0	0	0	1	0	0	0	1	0	2	0	0	0	2	1	0	0	1	0	0	2	0	0	1	0	0	1
0	1	0	0	0	1	1	0	1	1	0	0	0	1	1	0	0	2	1	0	0	1	0	1	1	1	0	0	0	0	1	0	1	0	0	0	1	1	1	0	0	2	2	1	0	0	0	0	0	1	0	0	1	0	1	1	2	1	1	1	1	1	1	1	0	1	2	1	0	0	0	1	1	0	0	0	0	0	1	1	0	2	1	0	0	0	1	1	0	2	0	1	1	1	1	0	0	1	0	0	1
1	0	1	1	0	0	0	0	1	0	0	1	1	1	0	1	0	0	1	1	0	2	0	0	0	0	0	0	1	1	0	1	2	0	1	0	1	0	0	0	1	1	2	2	0	1	0	0	1	0	0	1	2	0	0	1	2	0	0	1	1	0	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	2	1	0	0	1	1	0	1	1	0	0	1	0	0	0	0	1	1	1	2	1	0	0	1
0	1	0	0	0	0	0	0	1	1	1	1	0	1	1	1	0	1	0	1	2	2	0	0	0	0	0	0	1	1	0	1	0	1	1	0	1	0	0	0	1	0	0	1	2	0	0	1	1	1	0	1	0	2	1	1	2	0	0	2	2	0	0	0	1	0	0	1	0	1	0	0	1	0	1	0	1	1	0	0	0	1	0	0	0	1	0	0	1	1	1	0	0	0	0	1	1	1	0	0	1
0	1	1	1	0	0	1	1	0	0	0	0	1	0	0	0	0	2	2	2	1	1	0	0	1	1	0	0	1	2	2	0	0	1	1	0	2	0	1	0	0	2	1	1	2	0	1	0	0	1	0	0	1	1	1	0	0	0	0	2	2	0	0	0	1	1	1	0	0	0	2	2	2	0	1	1	1	0	0	1	0	0	0	0	0	1	0	1	1	0	0	2	0	0	0	0	1	1	0	0	1
0	1	0	0	0	0	0	0	1	0	1	2	1	0	0	1	1	1	0	1	0	1	1	0	1	0	0	0	2	0	1	1	0	0	1	1	1	0	0	0	0	1	0	1	1	0	0	0	0	0	2	0	1	2	1	0	1	1	0	1	0	0	0	0	0	2	1	1	0	1	1	1	0	1	0	1	2	1	2	0	0	1	0	1	1	1	0	0	1	0	0	0	0	1	1	0	0	1	0	0	1
1	0	0	1	0	0	0	0	0	0	0	1	0	2	0	0	1	0	1	1	1	2	0	0	1	0	1	0	1	1	0	0	0	1	1	1	0	0	0	0	1	0	0	1	0	0	0	0	1	1	0	1	0	2	1	2	2	0	0	1	1	0	0	0	0	1	1	0	0	0	1	1	2	0	0	0	1	1	0	2	0	0	0	0	0	2	0	1	1	2	0	0	0	2	1	1	1	1	0	0	1
0	2	0	1	0	0	1	0	0	1	0	0	0	2	0	2	1	0	2	2	1	1	0	0	0	2	1	1	1	0	1	0	0	2	1	0	0	0	2	0	1	1	0	0	2	1	1	1	1	1	0	0	0	0	0	1	2	0	1	2	0	0	0	1	1	1	2	0	0	0	0	2	0	1	0	2	0	1	0	0	0	0	1	1	0	1	2	0	0	0	1	2	1	1	1	2	1	0	0	0	1
1	1	1	0	0	0	1	0	1	0	0	1	2	0	0	0	0	1	1	1	2	0	0	0	0	1	0	0	0	0	0	0	0	0	2	0	1	1	0	0	0	0	0	0	0	0	0	2	1	2	1	0	0	0	1	1	1	0	0	1	1	0	1	0	0	2	2	0	0	0	1	1	0	0	1	0	2	0	0	0	0	1	0	1	0	1	0	1	1	0	1	0	0	1	2	0	1	0	0	0	1
0	1	0	0	1	0	1	0	0	0	1	2	0	1	0	1	1	1	0	1	1	1	0	1	1	1	1	0	0	1	1	0	1	1	0	0	0	2	1	1	1	1	0	1	0	0	0	1	0	1	1	1	0	1	0	2	2	0	0	0	0	1	0	0	1	2	0	0	0	2	0	0	0	0	1	0	0	1	0	0	0	2	0	0	0	0	0	2	0	0	0	1	0	0	2	0	2	0	0	0	1
1	0	0	1	1	1	0	1	0	1	1	1	1	1	0	0	1	0	0	0	1	1	0	1	0	1	1	0	1	1	1	1	1	0	1	0	2	1	1	0	1	1	0	1	1	1	0	1	0	1	0	1	1	1	1	0	1	0	0	1	0	0	0	0	1	1	1	0	0	1	0	1	0	0	1	1	2	1	1	0	1	0	0	1	1	1	1	1	0	0	0	1	0	0	0	0	1	0	0	0	1
1	1	0	0	0	0	0	1	0	1	2	2	1	1	1	0	0	0	1	1	1	1	0	0	1	1	0	0	1	0	0	1	0	0	0	0	1	1	0	0	1	0	1	0	2	0	0	1	0	0	1	1	1	0	1	0	1	1	0	0	0	0	0	1	0	1	1	0	0	1	0	0	0	0	0	0	0	1	1	1	0	0	1	0	0	1	2	1	0	1	0	0	0	0	0	1	0	0	0	0	1
1	0	0	0	2	0	0	0	0	0	1	1	0	0	0	0	0	2	1	1	0	0	0	0	0	1	0	0	0	0	0	0	1	0	2	0	1	1	1	0	0	2	1	1	0	0	0	1	0	1	1	0	1	1	0	0	1	0	0	0	2	0	1	0	0	2	1	0	0	0	1	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	1	1	0	2	0	0	0	1	1	0	1	1	1	0	1
2	0	0	0	0	1	0	0	1	2	2	1	0	0	0	1	1	0	1	1	0	1	0	1	2	0	0	0	0	1	1	0	0	0	1	0	0	0	0	0	0	1	2	1	1	0	0	0	0	2	0	0	1	1	1	1	2	0	0	0	0	0	0	0	0	0	2	0	0	0	1	2	0	0	1	2	1	1	0	1	0	1	0	1	0	2	1	1	1	0	0	1	0	1	1	0	1	0	0	0	1
0	1	0	0	0	0	1	0	0	2	1	0	0	0	0	1	0	0	2	0	1	1	0	0	1	1	0	0	1	0	2	0	1	0	1	0	0	2	0	0	1	2	1	1	2	0	0	2	0	0	1	0	0	0	1	0	0	1	0	0	0	0	0	0	1	1	0	0	0	1	0	1	1	0	0	1	1	0	1	0	0	1	1	1	0	1	1	2	0	0	0	0	0	1	1	0	1	1	0	0	1
0	0	0	1	0	0	0	0	0	0	0	1	0	1	1	1	0	1	0	1	0	0	0	0	1	0	0	0	1	0	0	0	0	1	1	0	1	0	1	0	0	1	0	1	1	1	0	0	1	2	0	0	0	0	2	0	0	0	0	1	0	0	0	0	0	1	1	0	0	1	0	1	1	1	0	2	0	1	1	0	1	0	0	0	0	0	0	1	1	0	0	0	0	2	0	1	1	0	0	0	1
1	1	0	0	0	0	0	1	1	0	0	0	1	0	1	1	1	1	0	2	0	2	0	1	1	0	1	0	0	0	2	0	0	0	1	0	2	1	0	0	0	1	1	2	1	2	0	0	0	0	1	0	1	2	2	1	2	0	0	1	0	0	0	1	0	2	0	0	0	0	2	0	1	0	0	0	1	0	1	0	0	1	0	1	0	1	0	0	1	0	0	0	0	1	1	0	1	0	0	0	1
0	1	1	1	0	1	0	0	1	2	0	0	1	1	1	1	0	0	1	0	1	2	0	0	1	0	0	0	0	1	0	0	0	2	2	0	2	0	0	0	0	1	1	1	1	0	0	0	0	1	0	1	1	0	1	0	0	1	0	0	0	0	0	0	0	2	1	0	0	1	0	0	0	0	0	2	0	2	1	0	0	0	1	0	0	0	1	1	1	1	1	0	0	0	0	0	1	0	0	0	1
0	0	0	1	0	0	0	0	0	1	0	0	0	2	0	2	0	0	0	0	2	1	0	0	1	1	0	0	0	0	2	1	0	1	1	0	0	1	0	0	0	1	0	1	1	1	0	1	0	2	1	0	2	1	2	1	1	0	1	1	1	0	0	0	1	0	1	0	1	0	0	0	0	2	0	0	1	2	1	0	0	0	0	0	0	1	0	0	1	0	1	0	0	1	1	0	2	0	1	0	1
0	1	0	0	0	0	1	1	2	1	1	0	0	1	1	0	2	1	0	1	1	2	0	1	1	1	0	0	0	1	1	2	0	1	1	1	0	1	0	0	1	1	2	0	1	0	0	0	0	2	0	0	0	0	1	1	2	0	1	1	1	1	0	0	0	1	2	0	0	0	0	0	1	0	0	2	1	2	0	0	0	2	1	1	0	0	0	0	2	0	0	0	0	0	1	0	0	1	0	0	1
0	0	0	0	1	1	0	0	0	0	1	1	1	1	0	1	0	2	0	2	1	1	0	1	0	1	0	0	0	0	0	0	1	1	0	1	2	0	1	0	1	0	1	1	2	0	1	0	0	1	1	0	2	1	1	1	2	0	0	1	0	1	0	0	0	1	0	0	0	0	1	0	1	0	0	1	0	1	1	0	0	0	1	1	0	1	1	1	0	0	1	0	0	1	1	1	2	0	0	0	1
0	1	0	0	0	0	0	0	0	0	2	0	0	0	0	2	0	1	1	0	0	1	0	0	0	0	0	0	0	1	1	2	0	0	2	0	2	1	0	0	0	1	0	1	2	0	0	1	1	0	0	1	1	1	2	1	0	1	0	1	1	0	0	0	0	1	1	0	0	0	0	0	0	1	0	2	0	2	0	1	0	1	0	1	1	0	0	0	0	1	0	0	0	2	0	1	2	0	0	0	1
1	0	0	1	0	0	0	0	0	1	1	1	1	1	0	2	0	1	0	1	1	1	0	1	0	1	0	0	0	1	1	1	0	0	2	1	2	1	0	0	0	0	1	0	0	1	1	0	0	1	0	0	2	0	1	1	2	1	0	0	1	0	1	0	1	1	1	0	0	2	0	0	1	0	1	0	0	0	1	0	0	0	1	0	0	1	2	0	1	1	0	1	0	1	1	0	2	1	0	0	1
0	1	0	0	0	0	0	1	0	0	2	1	1	0	1	0	0	1	1	1	1	1	0	1	0	1	1	0	1	0	1	0	1	0	1	0	1	0	0	0	0	1	0	1	1	0	0	0	1	0	1	1	0	0	1	2	0	0	1	2	0	0	0	0	0	2	1	1	0	0	0	0	1	0	0	1	0	0	0	2	0	1	0	1	0	1	1	0	0	0	0	1	0	0	0	1	1	2	1	0	1
0	1	0	1	0	0	0	0	1	0	1	1	0	1	0	2	0	0	0	2	1	2	0	1	0	0	1	0	0	0	1	0	0	0	1	0	0	0	1	0	0	0	1	2	2	0	1	0	0	1	0	0	1	2	1	0	1	0	1	1	0	0	0	0	1	0	1	0	0	1	0	2	0	1	0	0	0	1	0	0	1	1	0	0	0	1	0	1	1	0	0	0	0	1	0	0	0	0	0	0	1
0	1	0	1	0	0	1	0	1	0	2	1	1	0	0	1	0	1	1	0	0	0	0	2	0	0	1	0	0	2	0	0	0	0	2	1	1	0	1	0	1	1	1	1	0	0	0	0	0	1	0	0	0	0	1	2	0	0	0	0	1	1	0	0	0	1	2	0	0	0	0	0	0	0	1	2	0	1	0	1	1	1	0	1	0	2	0	1	0	0	1	0	0	2	1	1	1	1	0	1	1
0	1	1	0	0	0	1	0	0	1	1	2	0	0	1	1	0	2	1	0	1	1	1	2	2	1	0	1	0	1	0	0	0	0	0	0	2	1	0	0	2	0	1	2	2	0	1	0	0	2	1	0	0	0	1	2	1	1	1	0	1	0	0	0	1	1	0	0	0	0	2	0	1	0	0	2	0	2	0	1	0	0	1	1	1	2	0	0	1	1	0	0	0	0	1	1	0	0	0	0	1
0	1	1	0	0	0	1	1	0	2	0	1	1	2	0	1	0	0	0	2	1	1	0	0	1	0	0	0	1	1	1	0	0	0	1	0	1	0	0	0	1	1	0	1	2	0	0	2	0	1	1	0	0	1	1	1	2	1	0	0	0	0	0	0	0	1	0	0	0	2	0	2	0	0	0	0	0	0	0	1	0	1	1	0	0	1	2	0	1	0	0	0	0	0	1	0	0	2	0	0	1
0	0	0	2	2	0	0	1	0	0	0	0	0	1	0	1	0	1	0	0	1	1	0	0	0	1	0	0	0	1	1	1	0	0	1	0	1	1	0	0	1	1	0	0	0	0	0	1	1	0	0	1	0	1	1	0	1	1	0	1	1	0	0	0	0	0	1	0	0	1	0	1	1	0	0	1	2	1	1	1	2	1	0	0	0	0	1	1	1	1	0	0	0	0	1	0	1	2	0	0	1
0	0	0	0	1	0	1	2	0	1	0	1	0	0	1	0	1	0	0	2	0	0	0	0	1	0	0	0	1	1	1	1	1	0	1	0	1	1	1	0	1	2	2	0	2	0	1	0	0	0	0	1	0	1	1	0	2	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	1	2	0	1	2	0	0	1	1	0	0	2	0	0	0	0	0	0	0	1	2	0	2	1	1	0	1
0	1	0	2	0	0	1	0	1	1	1	1	1	1	0	1	0	1	0	2	2	1	0	0	0	0	1	0	1	0	0	0	0	1	1	0	2	1	2	0	1	0	1	0	1	0	0	0	0	0	1	0	2	0	0	1	1	0	0	1	1	0	0	0	2	1	2	0	0	1	1	1	1	0	0	0	1	2	0	0	0	1	0	1	0	1	0	0	1	1	1	0	0	1	0	2	1	1	0	0	1
0	1	0	2	0	0	0	0	1	0	2	0	0	0	0	0	0	0	1	0	1	1	0	1	1	0	0	1	0	1	0	1	1	1	1	0	0	0	0	0	1	1	2	0	1	0	1	0	0	1	2	0	1	1	1	1	0	0	0	0	1	0	0	1	0	0	1	0	0	0	0	1	1	1	0	2	2	1	1	0	0	1	0	1	1	2	1	2	0	0	0	1	0	1	0	0	0	0	0	0	1
2	1	1	1	1	0	0	1	1	0	0	1	0	2	0	0	0	1	1	2	2	0	0	1	1	1	1	1	0	1	1	1	0	1	0	0	1	0	0	0	0	1	2	2	0	0	0	0	1	2	0	1	0	1	1	1	0	0	0	1	1	0	0	1	1	0	0	0	0	0	0	2	0	0	1	2	2	1	0	1	0	2	1	0	0	1	0	1	0	0	0	1	0	0	1	1	0	1	0	0	1
0	0	0	1	1	0	0	1	0	0	0	1	1	0	1	0	0	1	0	0	1	2	1	1	2	0	1	0	0	1	0	1	1	1	0	0	1	1	1	0	0	1	1	1	1	0	2	1	0	1	0	0	0	1	2	1	0	0	0	0	2	0	0	0	1	0	0	0	0	1	0	1	1	0	0	1	0	1	2	0	0	0	0	0	0	0	2	0	0	0	0	1	0	0	0	2	2	0	1	0	1
0	1	0	0	0	1	0	1	1	0	0	0	1	2	1	2	0	0	0	1	1	0	0	0	0	0	0	0	0	0	1	1	1	1	0	0	1	1	1	0	1	1	1	0	1	1	1	0	0	0	0	0	0	2	0	0	0	0	1	1	1	0	0	1	1	1	1	0	0	0	2	0	1	0	0	1	2	2	1	0	0	2	0	0	0	1	1	0	1	1	1	1	0	1	1	0	2	0	0	0	1
0	1	1	0	0	0	1	2	0	1	1	2	0	1	0	1	1	0	1	1	1	1	0	0	0	0	0	1	0	0	0	0	1	1	0	0	0	0	0	1	0	1	1	1	0	0	0	0	1	1	0	0	0	1	1	1	1	0	0	0	2	0	0	0	1	1	1	0	0	1	0	0	1	0	0	2	1	0	0	0	0	1	0	1	0	0	1	1	0	0	1	1	0	0	1	0	1	0	0	0	1
0	0	0	1	0	0	1	0	0	0	0	1	0	0	1	2	0	1	1	2	0	1	0	1	0	0	0	1	1	1	1	1	0	1	1	0	0	0	2	0	0	1	0	0	1	0	1	1	0	1	0	0	1	1	1	0	0	0	0	1	0	0	0	1	0	1	1	0	0	1	0	1	1	0	1	0	1	1	1	1	0	0	1	1	0	1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	1
0	1	0	0	0	1	1	0	0	1	0	1	0	0	1	1	1	0	1	2	1	2	0	1	2	1	0	0	1	0	0	1	0	2	0	0	2	0	0	1	0	0	1	0	2	0	1	2	0	1	1	1	0	1	2	1	1	0	0	1	1	0	0	1	0	0	2	0	0	1	0	0	1	0	0	0	2	2	1	0	0	0	0	1	1	1	0	2	0	1	1	0	0	1	2	0	0	2	0	0	1
1	2	0	1	1	0	1	0	0	0	2	0	0	1	0	2	0	1	0	1	0	1	0	0	2	1	1	0	0	0	1	2	2	1	1	0	1	1	0	0	1	0	1	0	1	0	0	0	0	0	0	1	1	1	1	0	1	0	0	1	2	0	0	1	0	0	1	1	0	1	0	1	0	0	0	1	2	2	1	0	0	2	0	1	0	0	2	1	2	0	0	1	0	0	0	1	1	1	0	0	1
0	1	0	0	0	0	0	0	0	1	0	2	0	0	1	0	1	1	0	1	2	2	0	1	1	2	0	1	0	0	0	1	1	1	1	0	0	1	0	0	1	0	0	0	1	1	0	1	0	1	1	2	1	0	1	1	0	0	1	0	1	0	0	0	0	1	2	0	0	0	2	1	1	1	0	2	0	2	1	0	0	1	0	2	0	1	0	1	0	0	0	0	0	0	0	0	1	1	0	0	1
1	1	0	1	1	0	1	0	0	0	0	1	0	1	0	1	0	0	0	2	1	1	0	0	1	2	0	1	1	0	1	0	1	1	0	0	1	0	1	0	1	0	2	0	0	1	0	0	0	0	0	0	2	1	2	1	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	1	0	0	2	2	0	1	0	0	2	2	1	0	0	2	0	1	0	0	0	0	0	1	1	1	1	0	0	1
0	1	0	2	1	1	1	0	0	1	2	1	1	1	0	2	1	0	1	0	1	1	0	0	2	0	0	0	1	1	1	1	0	2	2	1	1	1	0	0	1	1	0	0	1	0	1	2	0	0	0	0	0	0	0	1	2	1	1	0	2	1	0	0	1	0	1	0	0	0	0	0	0	0	1	1	2	0	0	0	0	1	0	2	0	0	2	0	1	0	0	1	0	0	1	0	0	2	0	0	1
0	1	0	2	1	0	1	0	1	2	2	2	2	0	1	2	0	1	1	0	0	1	0	2	1	0	0	0	0	0	1	1	0	2	0	0	2	1	1	0	0	1	1	1	2	1	1	1	0	1	0	0	1	1	2	1	1	0	0	0	1	0	0	0	0	2	0	0	0	0	0	0	1	2	0	1	0	0	1	0	0	1	0	0	0	0	2	0	1	0	1	0	0	0	2	0	1	1	0	0	1
0	0	0	1	1	0	0	1	1	0	2	0	0	0	0	1	1	2	0	2	1	2	0	1	1	0	1	1	0	0	0	0	0	1	0	0	1	0	0	0	2	2	2	0	1	0	0	1	2	0	2	0	1	2	2	0	1	0	0	1	2	0	1	1	1	2	1	1	0	1	1	2	0	2	0	1	1	1	0	1	0	1	0	1	1	1	1	1	1	0	0	0	0	2	1	0	1	0	0	0	1
0	1	0	1	0	0	1	1	1	0	1	1	1	1	0	1	0	0	1	1	1	1	0	1	1	0	0	0	1	1	0	1	0	1	0	0	1	1	0	0	0	2	2	1	1	1	1	1	0	0	0	1	0	0	0	1	0	0	0	1	2	0	0	0	1	0	0	0	0	1	1	1	2	2	1	1	1	0	0	1	0	0	1	2	0	2	0	1	1	0	1	0	0	0	0	0	1	0	0	0	1
1	1	1	1	0	0	0	0	1	1	1	1	0	0	0	1	0	1	1	1	0	1	0	0	0	1	0	1	1	1	0	0	1	2	1	0	1	1	0	0	1	1	0	0	2	0	0	1	0	1	0	1	1	0	2	0	0	1	1	1	1	0	0	0	0	0	2	0	0	0	0	1	0	0	0	1	0	2	1	1	0	1	0	2	0	1	0	1	2	1	1	0	0	0	2	0	0	0	0	0	1
0	0	0	1	0	0	0	0	1	1	1	0	0	1	0	0	1	0	1	1	1	2	0	0	0	1	0	0	0	1	2	0	0	1	0	0	1	1	1	0	1	1	1	2	1	0	0	0	0	2	2	0	2	1	2	1	0	1	0	1	1	0	0	1	1	0	1	0	0	0	2	1	0	0	0	1	2	1	0	0	0	0	0	2	1	1	1	0	1	0	0	0	0	0	1	2	0	1	0	0	1
0	0	0	1	1	1	0	0	1	1	0	1	0	1	0	0	1	2	1	1	2	2	0	1	0	0	0	0	1	1	1	0	0	1	2	0	2	1	0	0	0	2	0	0	2	1	1	0	0	2	1	0	1	1	0	1	1	0	1	1	0	0	0	0	1	1	1	0	0	0	1	0	2	1	1	1	0	0	0	1	0	0	1	1	0	0	0	0	0	1	1	1	0	1	1	1	1	1	0	0	1
0	2	0	2	0	0	0	1	1	0	2	0	1	0	1	1	0	0	0	2	0	2	1	0	0	0	0	0	1	1	1	0	0	2	2	0	1	2	0	0	1	1	1	1	1	1	1	1	1	1	0	0	2	2	2	2	0	0	0	0	1	0	0	0	0	1	1	0	0	0	1	1	1	0	1	1	1	2	0	2	0	1	1	1	0	0	1	1	1	0	1	1	1	1	0	1	0	0	0	0	1
0	1	0	0	0	0	0	1	0	1	1	2	0	1	2	1	1	1	2	1	1	2	0	0	0	0	0	0	0	1	1	1	0	2	1	0	0	1	0	0	1	2	1	1	1	1	1	0	0	2	0	0	0	0	2	1	1	0	0	1	1	0	0	1	0	2	1	0	0	1	0	1	1	0	0	0	0	2	1	0	1	1	0	0	1	1	0	1	1	0	0	0	0	0	2	0	1	0	0	0	1
1	0	0	0	1	1	1	1	0	1	0	1	1	1	1	2	1	0	1	1	0	1	0	1	2	1	0	0	0	0	1	0	0	1	0	0	1	0	0	0	1	1	1	2	0	0	0	0	0	1	0	2	2	1	2	1	1	0	0	1	1	0	0	1	0	0	1	0	0	0	0	1	1	0	0	2	1	0	1	0	1	1	1	0	0	1	1	1	2	0	0	1	1	1	2	0	0	2	0	0	1
0	1	0	1	1	0	0	0	0	1	1	1	0	2	0	2	0	1	0	1	1	2	0	1	2	0	0	1	0	0	1	0	1	2	0	0	0	2	0	0	1	2	0	1	2	0	0	1	0	0	0	1	1	0	1	0	1	0	1	0	1	0	0	0	0	2	0	0	0	0	1	0	1	0	1	0	1	2	0	1	0	1	0	0	0	0	2	0	0	0	0	2	0	0	0	1	2	1	0	0	1
0	0	0	0	0	0	1	1	0	0	1	2	0	1	1	2	1	1	2	2	2	1	0	0	1	0	1	0	1	1	0	0	0	2	1	0	0	1	0	0	1	0	1	2	1	0	0	0	0	1	0	0	2	1	1	1	1	0	0	0	2	1	0	1	0	1	1	0	0	0	0	1	2	1	0	1	1	2	0	0	0	2	0	0	0	2	2	0	1	0	0	0	0	1	0	1	0	1	0	0	1
1	2	0	0	0	0	0	0	1	2	0	1	1	1	0	1	0	0	0	0	0	2	0	1	0	0	0	0	1	2	1	0	0	1	1	0	0	0	0	0	1	2	0	0	1	0	1	0	0	2	1	0	2	2	2	0	1	0	0	0	1	0	0	1	1	1	1	0	0	0	0	1	1	0	0	1	1	0	2	1	0	0	1	1	0	2	1	0	0	1	0	0	0	2	0	0	1	1	0	0	1
0	0	0	1	0	0	0	1	0	1	0	1	0	0	1	1	1	0	0	1	1	2	0	1	2	0	0	0	0	0	1	2	1	2	0	0	0	0	0	1	0	1	0	2	1	0	0	0	0	1	0	2	0	1	0	2	1	0	2	0	1	0	0	1	0	1	0	0	0	2	0	1	0	0	0	1	1	1	0	0	1	1	0	1	1	1	1	0	2	0	0	1	1	2	0	0	0	0	0	0	1
0	1	0	0	0	0	0	0	1	0	1	2	0	0	0	1	1	1	0	0	1	0	0	1	0	1	0	0	0	1	0	1	0	1	0	0	1	1	1	0	1	1	1	0	0	1	0	0	0	2	0	0	2	1	2	1	1	0	1	0	1	0	0	0	1	1	0	0	0	1	1	1	2	0	0	0	0	1	0	0	0	0	0	1	0	1	1	1	1	0	0	0	1	1	0	0	0	1	0	0	1
1	0	1	1	0	1	0	0	1	0	1	1	0	1	1	1	0	1	0	0	1	2	0	0	0	1	1	0	1	0	0	1	0	0	1	1	1	1	0	0	1	2	2	1	1	0	1	1	0	0	0	0	0	0	1	1	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	1	1	0	0	1	0	1	1	0	0	0	1	0	0	2	2	1	0	0	0	0	0	0	2	1	0	1	0	0	1
0	1	0	0	1	1	1	0	1	0	0	2	1	1	0	1	0	2	1	0	1	1	1	0	1	0	0	0	1	0	0	2	1	2	0	1	1	1	0	0	0	2	1	0	2	0	0	1	1	1	0	0	2	0	1	1	1	0	0	0	1	0	0	0	0	0	1	0	0	0	2	2	0	1	0	1	1	2	0	1	0	1	0	0	0	2	1	1	0	0	1	1	0	0	2	0	1	2	0	0	1
0	0	0	1	0	0	1	0	0	0	0	2	2	1	0	0	0	1	0	1	0	2	0	1	0	1	0	0	2	1	2	1	0	2	2	0	0	0	0	0	1	1	1	1	0	1	1	0	0	0	0	0	1	2	1	0	1	0	0	1	2	0	0	0	0	1	1	0	0	1	0	1	2	1	0	1	0	2	1	1	0	2	0	2	0	1	1	1	0	1	0	0	0	1	0	1	1	0	0	0	1
2	0	0	0	1	0	0	0	0	1	1	0	1	1	1	1	1	1	1	1	0	2	0	2	1	1	0	0	1	2	0	1	0	0	2	0	1	0	2	0	0	2	1	1	1	0	0	0	0	1	0	0	1	0	2	2	0	0	0	0	1	0	0	0	0	1	0	0	0	1	0	1	1	0	0	0	2	1	0	0	0	1	1	0	0	1	1	2	0	1	0	1	0	1	0	0	2	1	0	0	1
1	1	0	0	0	0	0	0	1	1	0	1	0	1	0	0	1	0	0	1	1	2	0	0	1	1	0	0	1	1	0	0	0	1	1	0	1	0	0	0	0	1	1	1	2	0	1	2	0	0	0	1	0	1	2	1	2	0	0	1	0	0	0	0	0	1	2	1	0	2	0	2	0	0	1	1	1	1	1	0	1	1	1	0	0	1	0	1	1	0	1	0	0	0	0	1	1	1	0	0	1
0	1	1	0	0	1	1	0	1	0	1	1	0	1	0	1	1	2	0	1	2	0	1	0	0	0	1	0	0	0	1	2	1	1	2	0	0	1	0	0	2	1	1	1	2	0	1	1	0	0	0	1	0	0	1	1	1	1	0	0	1	0	0	0	0	0	2	0	0	2	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	1	0	2	0	0	0	0	0	1	0	0	0	0	1	1
0	1	0	0	0	0	1	1	1	0	0	1	1	1	0	2	1	1	0	2	2	1	0	0	1	1	1	0	0	0	0	1	1	0	0	0	1	2	1	0	1	0	2	2	0	0	0	2	0	2	1	0	1	1	2	0	0	0	1	1	1	0	1	0	0	2	1	0	0	1	1	1	2	1	0	2	0	2	0	2	0	2	1	1	0	0	0	1	2	1	0	1	0	2	1	1	2	1	0	0	1
0	0	1	1	0	0	1	1	1	0	0	0	1	0	1	1	0	0	0	1	0	1	0	1	2	1	1	0	1	2	0	0	1	1	1	1	1	0	0	0	1	0	0	1	1	0	0	1	0	0	0	0	0	0	0	0	1	0	2	1	1	0	0	1	0	1	0	0	0	0	0	2	1	0	0	0	0	1	0	0	0	1	1	0	0	1	1	1	1	0	1	0	0	0	0	1	1	1	0	0	1
1	0	0	0	1	0	0	1	1	0	1	1	0	0	0	0	0	0	0	0	1	1	0	1	1	0	0	0	0	2	0	0	0	1	1	0	2	0	0	0	1	1	0	1	0	0	2	0	0	0	0	1	1	0	0	1	0	0	1	0	0	1	0	1	0	1	1	0	0	0	1	1	0	0	0	2	0	0	0	0	0	0	2	0	0	0	1	1	2	1	1	0	0	1	1	1	0	1	0	0	1
1	0	0	0	1	0	0	0	1	0	0	1	0	0	0	1	0	0	0	2	1	1	0	0	1	1	0	0	0	0	2	0	0	1	2	1	2	0	0	0	1	1	0	1	1	0	1	1	2	0	1	2	1	0	1	0	0	0	0	1	1	0	1	1	1	1	1	0	0	0	0	0	0	0	1	2	1	0	1	0	0	1	1	0	0	0	0	1	2	0	0	1	0	1	2	0	0	1	0	0	1
0	0	1	1	1	0	0	0	0	0	0	0	1	0	1	1	0	2	0	0	1	1	1	1	2	1	1	0	1	1	1	0	2	0	1	0	1	1	0	0	1	2	1	0	2	0	1	1	0	1	1	1	1	1	0	1	2	0	0	0	0	0	0	1	0	1	1	0	0	1	0	1	2	0	2	0	1	0	2	0	1	0	1	0	1	1	1	1	1	0	0	1	0	0	0	1	0	0	0	0	1
1	1	0	1	1	0	0	0	1	0	1	0	0	2	0	0	1	0	1	0	0	0	0	1	0	0	1	0	0	0	1	0	1	0	1	1	2	0	1	0	0	1	0	0	2	0	0	0	0	1	0	0	1	1	2	0	0	0	0	1	0	0	1	0	0	1	2	0	0	1	0	0	2	1	0	0	0	1	2	2	0	0	0	0	2	1	1	2	1	0	0	1	0	1	0	0	1	2	0	0	1
0	0	0	0	1	1	0	1	1	1	0	1	0	1	1	0	0	0	0	0	2	1	1	0	2	0	0	0	1	0	0	0	0	1	1	0	1	0	0	0	0	0	1	1	2	0	0	1	0	0	1	0	1	0	1	1	1	0	0	0	0	0	0	0	0	2	1	0	0	1	0	2	1	1	0	1	1	0	0	0	0	2	2	1	0	1	1	1	1	0	0	0	0	1	1	0	1	1	0	0	1
0	0	1	0	0	1	0	0	0	0	0	1	0	1	0	2	0	0	1	1	1	1	0	1	1	0	1	0	0	0	1	0	0	1	0	1	2	0	0	0	2	2	0	2	1	0	0	1	0	1	0	0	1	1	1	0	1	0	0	1	1	0	0	0	1	1	1	0	0	2	0	2	1	0	0	2	1	0	0	0	0	1	1	1	0	1	1	1	1	0	0	0	0	1	0	1	1	1	1	0	1
2	1	1	0	2	0	0	0	1	0	1	2	0	1	0	1	0	0	0	1	2	1	0	1	2	0	0	0	2	0	0	0	0	1	0	0	1	0	0	0	1	0	1	1	0	0	0	1	1	0	0	0	0	1	2	1	1	0	0	0	0	0	0	1	0	2	1	1	0	1	2	2	1	0	0	0	1	1	1	1	0	1	0	0	0	2	1	0	1	0	0	1	0	0	0	0	1	0	0	0	1
1	1	0	0	1	0	1	0	1	0	0	1	0	1	1	1	0	1	2	1	1	1	0	1	1	0	0	0	0	1	1	0	0	2	1	0	0	1	0	0	0	0	0	1	0	0	0	0	0	1	0	0	2	0	1	0	1	1	1	0	1	0	0	0	0	2	0	0	0	1	2	1	1	1	0	0	0	1	0	0	0	0	1	1	0	1	0	0	0	0	0	0	1	1	1	2	0	0	0	0	1
0	0	0	1	1	0	0	0	0	1	1	0	0	0	0	0	0	1	0	1	1	2	0	1	0	0	2	0	0	2	0	2	0	2	0	0	2	1	1	0	0	1	1	1	0	0	0	1	0	0	1	1	1	1	0	2	1	0	0	1	1	0	0	1	2	0	1	1	0	1	0	1	1	1	0	0	0	2	1	1	0	1	1	1	0	1	0	1	0	0	0	0	0	0	1	0	1	1	0	0	1
0	2	0	0	0	0	0	1	1	2	0	1	1	2	0	1	1	0	1	2	0	1	0	1	0	1	0	0	0	1	1	0	0	1	0	0	1	0	0	0	1	0	1	0	2	0	0	2	0	1	0	0	0	0	1	0	0	1	0	0	0	0	0	0	1	0	1	0	0	1	1	1	0	0	1	2	1	0	2	0	0	1	0	2	1	0	2	0	0	1	0	0	0	1	0	2	1	1	0	0	1
0	1	0	1	0	0	0	2	1	0	1	0	0	1	0	2	1	0	0	0	1	2	1	0	1	0	1	1	0	0	0	1	0	0	0	0	0	0	0	0	0	1	2	1	1	0	0	0	1	1	1	0	2	1	2	0	1	0	0	1	0	0	0	0	1	1	1	0	0	1	1	1	1	1	0	1	0	1	0	0	0	2	1	1	0	0	1	1	0	0	0	2	0	1	2	1	0	1	0	0	1
1	1	0	1	0	0	0	0	1	0	0	1	1	0	0	1	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	1	0	1	0	0	1	0	1	0	1	1	0	2	1	1	0	1	1	0	1	0	1	1	0	1	0	1	0	0	0	0	1	1	0	0	1	0	0	1	1	0	2	1	1	1	1	0	1	0	0	0	1	2	1	0	1	0	0	0	1	0	0	1	0	0	0	1
0	0	0	1	0	0	0	0	0	0	2	1	1	0	0	1	0	0	0	1	1	0	0	0	1	1	0	0	1	0	1	2	0	0	0	1	1	1	0	0	0	0	0	2	2	0	0	1	0	1	0	0	1	0	1	0	0	1	0	0	1	0	0	0	1	1	0	0	0	1	0	0	0	0	0	0	1	0	1	0	0	1	0	0	0	1	2	1	0	0	0	1	0	0	0	0	0	0	0	0	1
1	0	0	1	1	1	0	0	0	1	1	0	0	1	1	0	1	1	0	1	0	2	0	1	0	0	1	0	0	0	1	1	0	1	1	0	0	0	1	0	1	0	0	0	0	0	0	0	1	1	0	0	1	0	0	0	1	1	0	0	0	0	0	0	0	2	1	0	0	1	0	0	0	0	1	1	2	0	1	0	1	1	1	0	0	2	1	1	0	0	0	0	0	1	1	0	1	1	0	0	1
2	1	0	0	1	0	0	1	0	1	2	2	0	2	0	2	0	0	0	1	0	2	0	0	0	1	0	0	0	1	1	0	1	2	2	1	1	1	2	0	1	1	0	1	1	0	0	1	1	1	0	1	1	0	2	2	2	0	0	1	1	0	0	2	1	1	2	0	1	1	1	1	0	1	0	0	1	1	0	1	0	1	1	1	0	2	1	0	1	0	0	1	0	1	0	1	2	0	1	0	1
0	1	0	1	1	0	0	0	0	1	0	1	1	0	1	0	1	1	1	1	1	1	0	0	1	0	0	0	1	1	0	0	0	1	2	0	2	0	0	0	2	0	0	1	1	0	0	0	0	1	0	0	0	0	1	1	0	1	2	2	1	0	0	0	1	0	2	0	0	1	0	2	1	2	0	1	1	0	1	0	0	0	1	2	0	2	1	0	1	0	0	0	0	1	0	0	1	1	1	0	1
2	2	1	0	1	1	0	1	1	1	1	2	0	1	1	2	1	1	0	0	2	2	0	1	1	0	0	1	0	0	0	0	0	2	1	1	1	0	2	0	2	0	0	2	0	0	1	1	1	0	0	1	1	0	2	0	2	1	0	1	0	0	0	0	0	0	0	0	0	1	0	1	0	1	1	1	1	0	2	1	0	2	0	0	0	1	0	0	0	1	0	1	0	0	1	0	0	0	0	0	1
0	1	0	1	0	0	0	1	1	0	1	2	0	0	0	1	0	0	1	2	2	0	0	1	0	0	1	0	0	0	0	1	1	0	0	1	2	1	0	0	0	2	1	2	0	0	1	0	0	1	0	0	1	1	1	1	0	0	0	1	2	0	0	0	0	0	2	0	0	1	0	0	2	0	0	1	0	0	0	2	1	1	1	0	0	1	0	0	1	0	0	0	0	1	0	0	1	0	0	0	1
1	2	0	0	0	1	0	1	1	0	2	0	1	1	1	1	1	2	2	0	1	2	0	1	2	0	0	0	0	1	0	2	0	1	1	1	0	0	1	0	0	1	2	0	1	0	0	1	0	0	1	0	1	0	1	0	1	0	0	0	1	0	0	0	0	2	1	0	0	0	0	0	1	0	0	1	0	1	0	1	2	1	0	0	0	2	0	1	2	0	1	1	0	0	0	0	1	0	0	0	1
0	0	1	2	0	1	1	0	1	0	1	0	1	0	0	0	1	2	0	0	1	1	0	1	1	0	1	1	1	1	0	0	0	2	1	0	0	1	0	0	1	1	0	2	1	1	0	0	1	0	0	0	1	0	1	1	1	1	0	1	0	0	0	1	2	1	1	0	0	1	1	1	2	0	0	0	1	0	1	0	0	1	1	0	0	1	1	0	0	0	0	0	0	1	1	1	2	1	0	0	1
0	2	0	1	0	0	0	1	0	1	0	0	1	1	0	1	1	1	0	1	1	1	0	2	0	1	0	0	2	1	1	0	0	1	0	1	1	1	1	0	0	0	1	0	1	0	1	0	0	1	1	0	1	0	2	0	2	0	0	0	2	0	0	0	0	2	0	0	0	2	0	2	2	0	0	0	1	2	0	0	1	1	0	1	0	0	0	0	1	0	2	1	0	2	0	0	1	0	1	0	1
0	2	1	1	1	0	1	0	1	0	1	0	0	0	0	1	0	0	1	1	0	1	0	1	0	2	0	0	0	0	2	1	1	1	1	1	1	1	1	0	1	1	1	1	1	0	0	0	0	1	2	0	1	0	2	1	0	0	0	0	1	0	0	0	0	1	2	1	0	0	0	1	0	1	0	1	0	0	0	1	0	2	0	1	0	2	1	1	1	0	0	1	1	2	1	0	0	0	0	1	1
0	0	0	0	0	0	2	0	0	1	0	1	1	0	1	2	0	1	1	0	0	2	0	0	1	2	0	0	0	1	1	0	0	1	1	0	1	0	0	0	2	1	1	2	2	0	0	1	0	1	1	0	0	2	0	0	1	0	0	1	1	0	0	0	0	0	1	1	0	1	1	2	1	0	0	2	0	1	0	1	0	1	0	0	0	2	1	1	0	0	0	0	0	1	1	0	1	1	0	0	1
0	1	0	0	0	0	0	0	0	1	1	1	1	1	0	0	1	2	0	1	2	1	1	0	1	0	0	0	0	0	0	0	1	1	2	0	2	0	2	0	0	1	0	1	1	0	1	0	0	0	0	0	1	1	1	0	1	0	0	1	0	0	0	1	0	1	1	0	0	2	0	2	0	0	2	0	0	1	0	0	1	0	0	2	0	0	0	2	2	0	0	1	0	1	1	1	1	1	0	0	1
1	0	0	1	0	0	0	1	0	0	1	1	1	1	0	1	0	2	1	1	1	2	0	1	1	0	0	0	0	0	0	2	0	2	0	1	1	1	0	0	0	0	0	1	1	1	0	1	0	0	1	0	1	1	1	1	1	1	0	0	1	0	0	0	1	2	2	0	0	0	1	1	1	0	0	1	0	1	0	0	1	1	0	2	0	1	2	0	0	0	0	0	0	2	1	1	1	0	0	0	1
0	1	0	0	1	0	1	0	1	0	1	1	0	0	1	1	0	1	0	0	2	2	0	0	1	0	0	0	0	1	1	2	1	1	1	2	2	0	0	0	1	1	1	2	1	1	1	1	0	0	1	0	1	2	1	0	1	0	0	1	1	0	0	1	1	2	0	0	0	1	0	1	0	0	0	2	0	1	0	0	1	1	1	0	0	1	2	1	0	0	0	1	0	1	1	0	1	0	0	0	1
1	1	0	1	1	1	0	0	0	1	0	1	2	1	1	1	0	0	0	0	1	2	0	0	2	0	0	0	0	0	0	0	0	0	1	0	1	1	0	1	1	0	1	0	0	0	0	1	0	0	1	1	0	0	1	0	1	2	0	0	1	0	0	0	0	2	2	0	0	2	0	1	0	0	0	0	2	1	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	1	1	1	1	0	0	0	1
1	1	0	1	0	1	1	1	0	0	0	2	0	0	0	1	0	0	0	1	0	0	0	1	0	2	0	0	0	0	0	1	1	0	2	0	1	0	0	0	1	0	2	1	0	0	0	0	0	0	0	1	2	0	2	1	2	1	0	0	1	0	0	1	0	1	0	0	0	0	2	1	1	1	0	2	1	1	0	0	0	1	2	0	0	1	1	1	0	1	0	1	0	0	1	0	1	1	0	0	1
0	1	0	1	1	0	0	2	0	0	1	2	2	0	0	1	0	0	0	1	0	0	0	1	0	0	0	1	0	2	0	1	0	2	0	0	1	1	0	0	0	1	0	1	0	0	1	1	0	1	0	0	1	1	1	1	0	2	0	1	2	0	0	0	0	1	1	0	0	1	0	1	0	0	1	2	0	1	1	0	0	2	0	2	0	0	1	1	1	1	1	0	0	0	0	0	2	1	0	0	1
0	1	0	1	0	0	0	0	0	1	2	1	0	1	0	2	0	1	1	2	0	1	1	0	1	1	1	0	1	2	1	2	0	1	0	0	0	0	0	0	0	0	1	1	2	0	0	1	0	0	1	0	2	0	2	1	0	0	0	1	0	0	0	0	1	1	1	0	0	0	0	0	2	1	0	1	1	0	0	0	1	2	0	0	0	0	1	1	1	0	0	1	0	0	0	0	1	0	0	1	1
1	1	0	1	0	0	0	0	0	1	1	1	0	1	2	1	0	2	1	2	0	1	1	0	1	0	0	0	1	1	2	0	0	0	1	0	2	2	0	0	1	2	1	0	1	0	1	0	1	0	1	0	0	1	1	0	2	0	1	2	1	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	1	1	0	0	0	0	2	0	0	2	1	1	0	0	2	0	0	0	0	1	0	0	1	1
0	1	0	1	0	0	0	1	0	2	1	1	1	2	0	0	1	0	0	0	1	0	0	0	1	0	0	0	0	1	1	1	0	1	1	0	1	1	1	0	1	0	1	0	2	0	0	2	1	0	0	0	1	0	1	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	1	1	1	1	0	1	1	0	0	0	0	1	0	1	0	2	2	0	1	0	0	0	0	0	2	0	2	0	0	0	1
0	0	0	0	0	0	1	0	1	1	2	1	0	1	0	2	0	0	1	1	0	1	0	0	2	1	0	0	0	0	0	0	1	0	2	0	1	0	1	0	1	2	0	2	1	0	1	0	0	0	0	0	2	0	1	0	1	1	1	0	1	0	0	0	0	1	1	1	0	0	1	0	0	0	1	1	1	1	0	1	1	0	0	2	0	0	1	0	1	0	0	0	0	1	0	0	2	0	0	0	1
1	0	0	0	1	0	1	0	0	1	0	0	1	0	0	1	0	1	1	0	0	0	0	1	2	1	1	0	0	0	0	0	1	2	0	0	1	0	0	1	0	1	1	0	1	0	0	1	0	1	0	1	1	0	1	0	1	0	0	1	0	0	0	1	1	0	1	0	0	1	0	1	0	0	0	2	0	2	0	0	0	1	0	1	0	1	1	0	1	1	0	0	0	1	0	1	1	1	0	0	1
0	2	1	0	0	0	1	0	0	1	1	1	0	0	0	1	1	1	0	1	0	1	0	0	2	0	0	1	0	1	2	0	2	0	1	0	1	0	0	0	2	0	0	1	0	0	1	0	0	1	0	1	1	1	0	1	1	1	0	0	1	0	1	0	0	0	1	0	0	0	1	1	2	1	0	1	0	1	0	0	1	1	1	0	0	0	0	0	1	0	2	0	0	0	1	0	0	2	0	0	1
0	1	0	0	1	0	0	0	2	1	1	1	2	0	0	0	1	1	2	0	1	1	1	0	0	0	0	1	0	1	0	0	0	1	0	0	1	1	0	0	1	1	1	2	1	0	0	1	0	0	1	2	1	2	1	1	1	0	0	0	1	0	0	0	1	1	1	0	0	1	1	2	0	1	0	0	0	0	0	0	0	1	0	1	0	2	2	2	0	1	0	1	0	0	1	0	1	1	0	0	1
0	0	0	1	0	1	0	0	0	0	1	1	2	0	1	1	0	1	0	1	1	0	0	0	0	0	0	0	0	1	1	0	2	0	2	2	1	2	0	0	0	1	1	1	1	0	0	1	0	0	0	1	1	2	2	1	1	0	0	0	0	0	0	0	0	0	1	1	0	0	1	1	1	1	1	0	1	0	2	1	0	1	0	0	0	0	1	0	2	0	0	0	0	1	0	1	0	0	0	0	1
1	1	0	0	1	0	1	0	1	1	1	2	0	1	0	0	1	0	2	2	1	2	0	0	0	1	0	0	0	0	0	0	2	2	2	0	1	2	1	0	0	2	0	0	1	0	0	1	0	0	1	0	0	1	1	0	1	1	1	1	1	0	1	0	0	0	1	0	0	2	0	2	1	0	0	1	1	1	0	1	0	1	0	1	0	0	1	2	1	0	1	0	0	0	0	0	1	1	0	0	1
0	2	0	0	0	1	0	0	0	0	0	0	1	1	0	1	1	2	1	1	1	1	0	0	2	1	0	0	0	0	0	1	0	2	0	0	1	1	0	0	1	0	0	2	1	0	0	1	0	0	2	0	1	0	0	1	1	0	0	1	2	0	0	1	0	0	1	1	0	2	1	0	2	0	1	1	2	1	1	1	0	0	1	1	0	2	1	1	1	0	0	0	0	1	0	0	0	0	0	0	1
1	0	0	1	1	0	0	1	0	0	0	1	0	2	0	1	0	0	0	1	2	0	0	1	1	1	0	1	0	0	0	1	1	0	1	0	1	0	1	0	1	1	0	1	1	0	0	1	0	1	1	0	1	0	1	0	0	0	0	1	2	0	0	0	0	1	2	0	0	1	0	1	1	1	0	2	1	0	0	0	0	0	0	0	0	0	1	0	1	0	0	1	0	1	0	0	0	1	0	0	1
0	1	0	0	1	0	0	0	1	0	0	1	1	2	0	2	0	2	1	0	2	1	0	2	0	1	0	0	1	0	0	1	1	1	1	0	1	0	2	0	1	0	1	0	2	0	0	1	0	0	0	0	2	0	1	0	1	0	0	2	0	0	0	1	1	1	0	0	0	1	0	1	0	1	0	1	1	1	0	0	0	1	0	1	0	1	2	1	0	0	0	1	0	1	1	0	2	0	1	0	1
0	0	0	1	0	0	1	1	1	1	0	1	0	0	0	0	1	2	0	2	1	0	0	1	0	0	1	0	0	1	1	0	0	1	1	0	0	0	0	0	0	1	1	1	0	0	0	1	0	0	0	0	0	1	2	0	1	0	1	0	0	1	0	1	1	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	1	1	1	0	1	1	1	0	0	0	0	0	0	1	0	1	0	0	0	1
0	1	0	1	0	0	0	1	2	0	2	0	0	1	1	2	1	1	2	1	0	1	0	0	1	1	0	2	0	1	1	1	1	1	0	0	0	0	0	1	1	1	0	1	0	0	0	2	0	1	0	1	0	2	1	0	1	0	1	0	1	0	0	0	0	0	1	0	0	1	1	2	0	1	0	1	0	1	0	0	0	0	1	1	0	0	0	0	2	1	0	0	0	1	0	0	0	1	0	0	1
0	0	0	0	0	0	0	1	1	0	0	0	2	2	0	1	2	2	0	1	1	2	0	0	0	0	1	0	0	0	0	2	0	2	1	0	2	1	1	0	2	1	1	0	2	0	0	1	0	0	0	0	0	1	2	1	0	0	0	0	0	0	0	0	1	1	1	1	0	0	1	0	0	0	1	1	0	2	1	0	1	1	0	1	0	1	1	0	0	0	0	1	0	1	0	1	2	0	0	0	1
0	1	0	0	0	2	0	1	1	1	1	1	0	1	1	0	1	1	1	2	1	1	0	1	1	1	0	0	0	1	1	1	1	1	1	0	2	2	1	0	0	0	0	0	1	0	0	0	0	1	1	1	1	1	0	1	1	0	0	0	0	0	0	0	0	1	1	1	0	0	0	1	0	0	0	1	1	1	1	0	1	2	0	1	0	0	2	1	0	0	0	0	0	1	0	0	0	2	0	0	1
1	0	0	1	0	0	0	2	1	1	1	1	0	0	0	2	0	0	0	0	0	0	0	0	0	1	1	1	1	0	2	1	1	1	1	1	1	1	0	0	1	1	0	1	2	0	0	0	0	1	1	0	0	1	2	1	1	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	1	1	0	1	1	0	0	0	0	1	0	0	0	1	1	1	1	0	1	0	0	1	2	0	0	0	0	0	1
0	0	0	1	0	0	0	1	0	1	0	0	0	0	1	0	0	0	0	1	1	2	0	0	1	1	0	0	0	1	1	1	0	0	1	1	0	1	1	0	1	0	1	2	2	0	1	1	1	0	0	1	1	1	1	0	1	0	0	1	2	0	0	0	1	1	1	0	0	1	0	1	1	0	0	2	1	1	1	0	0	0	1	0	0	2	2	1	1	1	0	2	0	2	2	2	1	0	0	0	1
1	0	0	0	0	0	1	0	0	0	0	2	1	0	0	1	1	1	0	1	0	2	0	0	1	0	1	0	0	0	0	1	1	0	2	1	2	0	0	0	1	2	1	2	1	0	0	2	1	1	1	0	1	0	1	2	2	1	0	0	0	0	0	2	1	0	2	0	0	0	1	1	0	1	1	1	1	2	0	0	0	1	1	0	0	0	0	1	0	1	0	1	0	0	0	0	2	0	1	0	1
0	1	0	1	1	1	1	0	0	0	1	0	0	0	1	1	0	1	0	2	2	2	1	2	0	0	0	0	0	0	0	0	0	0	0	0	2	1	1	0	1	1	0	1	0	0	0	0	0	0	0	0	0	1	0	0	2	0	1	1	1	0	0	0	1	2	1	0	0	1	0	0	1	1	0	1	1	1	0	0	1	2	0	0	0	0	0	0	1	1	0	1	0	0	1	1	1	0	0	0	1
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0	0	0	1	0	0	0	0	0	1	0	1	1	0	0	0	0	1	1	1	0	0	0	0	1	0	0	0	0	0	0	2	0	2	2	0	0	2	0	0	1	2	0	1	2	0	0	0	0	1	0	0	0	0	1	1	2	0	1	0	1	0	0	0	1	1	1	0	0	0	1	0	0	0	0	2	1	1	0	1	0	1	1	0	0	1	1	0	0	1	0	1	0	1	0	0	0	1	0	0	1
1	1	0	0	1	0	0	2	1	0	0	0	1	0	0	2	1	1	0	0	1	2	0	1	1	0	0	1	0	0	0	2	0	2	1	0	1	2	1	0	1	0	0	1	0	0	1	0	0	0	0	0	0	0	1	2	2	0	0	1	0	0	0	0	0	2	0	0	0	0	1	1	1	0	0	2	1	2	0	1	0	1	1	2	0	0	1	1	1	1	1	0	0	0	1	1	2	0	0	0	1
0	1	0	1	0	0	0	2	1	1	0	1	1	2	1	1	1	2	0	0	0	2	1	1	1	0	2	0	0	0	0	0	0	1	1	2	0	0	0	1	0	1	1	0	1	0	1	0	0	0	0	0	1	1	1	1	0	0	0	1	2	0	0	0	1	0	1	0	0	2	0	1	1	0	0	2	0	2	1	1	0	0	0	0	0	1	2	1	0	1	1	1	0	2	1	1	0	0	0	0	1
0	0	1	1	1	1	2	0	1	0	0	0	1	1	0	2	0	2	0	0	0	1	1	1	1	0	1	0	0	1	0	1	1	1	1	0	1	1	0	0	0	1	0	1	1	0	0	0	0	0	1	1	0	0	2	2	2	0	2	0	1	0	1	1	0	1	0	0	0	0	0	2	1	0	0	1	2	0	1	1	0	2	1	1	0	0	0	1	0	2	1	0	0	0	1	0	2	0	0	0	1
1	0	1	0	1	1	0	0	1	0	1	0	1	1	0	0	0	1	1	1	1	2	0	0	0	1	0	0	0	1	0	1	1	1	1	1	2	0	0	0	1	0	0	0	2	0	2	1	0	1	1	1	0	2	1	0	0	0	0	0	0	0	0	1	0	0	1	0	0	2	1	0	0	1	0	1	2	1	0	0	0	1	1	1	0	2	1	1	1	0	0	0	0	2	1	2	1	0	0	0	1
1	0	0	0	1	0	1	0	0	0	0	1	1	1	1	0	0	2	0	2	0	2	0	0	1	0	0	0	0	1	0	1	1	1	1	1	1	1	1	0	1	1	1	1	1	0	0	1	0	0	0	0	1	1	0	1	1	0	0	1	0	0	0	0	1	0	1	1	0	0	0	0	0	1	0	2	2	0	0	0	1	1	0	1	1	2	1	1	1	1	0	1	0	0	0	0	2	1	1	0	1
0	1	0	1	1	0	0	1	2	1	0	1	2	0	0	1	1	0	2	2	1	2	0	0	1	0	0	0	1	1	0	0	1	0	0	0	0	1	0	0	2	1	1	0	0	0	0	0	1	1	1	0	2	1	1	0	0	0	0	0	0	0	0	1	0	0	1	0	0	1	1	1	0	0	1	1	2	1	0	0	1	0	0	2	0	2	1	0	0	2	0	0	0	1	0	1	2	2	0	0	1
1	2	0	0	0	1	0	0	0	0	1	1	0	0	1	2	0	0	0	2	0	2	0	0	1	0	1	1	0	1	0	1	1	0	2	0	2	0	1	0	1	0	0	0	2	1	0	0	1	2	0	1	2	0	0	1	1	0	0	0	1	0	0	0	1	1	1	0	0	1	0	1	2	0	0	0	1	2	1	0	0	2	2	0	0	1	1	1	1	1	0	0	0	1	0	0	2	1	0	1	1
0	1	0	1	1	0	1	0	1	1	1	1	1	1	0	1	1	1	2	0	0	1	0	0	0	0	0	0	1	0	1	2	0	1	1	0	2	1	1	0	0	0	1	1	2	0	0	0	0	1	1	0	0	1	0	0	1	0	1	0	0	0	0	0	1	0	0	0	0	0	0	1	0	0	1	1	2	1	2	1	0	1	0	0	0	2	0	0	1	1	0	0	0	0	1	0	2	0	0	0	1
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0	0	0	1	2	0	0	2	1	2	0	1	0	1	0	1	0	0	0	2	0	2	0	1	1	0	1	0	0	0	0	1	2	2	0	1	2	1	0	0	1	1	1	0	0	0	0	0	0	1	0	1	1	2	1	0	1	0	1	0	0	0	0	0	0	2	2	0	0	0	1	0	1	0	0	1	0	0	0	0	1	0	0	1	0	1	1	2	0	1	0	0	0	1	2	0	2	0	0	0	1
0	1	0	1	1	1	1	0	2	0	2	1	0	0	0	1	0	0	1	1	0	1	0	1	2	1	0	0	0	0	1	1	0	0	1	0	1	0	0	0	2	2	2	1	2	0	0	1	1	0	0	0	0	1	1	2	1	0	0	0	0	0	0	0	0	1	2	0	0	0	0	1	0	0	1	1	1	0	0	0	1	0	0	1	1	1	0	1	1	1	1	0	0	2	0	0	2	0	0	0	1
1	0	0	1	1	0	0	0	2	0	0	1	0	2	0	1	0	2	1	1	1	0	0	0	0	0	0	0	1	1	1	0	0	1	1	0	0	1	0	0	0	1	0	1	0	0	0	1	1	0	1	0	0	1	0	0	1	0	1	0	1	0	0	2	1	1	1	0	0	0	0	0	0	0	0	2	1	1	0	0	1	1	1	0	1	0	1	1	0	0	0	0	0	0	1	1	0	0	0	0	1
1	0	0	0	0	0	1	0	0	0	2	1	0	1	0	1	1	0	1	0	2	1	0	0	1	1	0	0	1	0	0	1	0	2	2	1	1	1	0	0	1	1	0	0	1	0	1	1	0	1	0	0	2	0	1	2	1	0	0	2	2	0	1	1	1	0	2	0	1	0	0	0	0	0	0	2	0	1	2	0	1	1	0	1	0	0	1	0	1	0	0	1	0	0	1	1	1	2	0	0	1
2	0	1	0	1	1	0	0	0	1	1	0	0	1	0	0	0	1	0	0	0	1	0	0	2	0	0	1	2	0	1	0	0	1	1	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	1	1	1	1	0	0	0	0	1	0	0	1	1	1	1	0	0	0	0	1	1	0	1	0	0	1	0	1	0	1	0	0	0	2	1	1	1	0	0	1	0	0	1	0	0	1	0	0	1
0	2	0	1	0	0	0	0	0	1	1	1	0	1	0	2	0	2	0	1	0	1	0	0	0	0	0	0	0	0	2	1	0	2	2	0	1	1	0	0	0	2	2	1	2	1	0	0	0	1	0	0	1	1	1	1	0	1	1	1	1	0	0	0	0	0	1	0	0	0	1	1	1	0	0	1	1	1	0	1	0	0	0	2	0	1	1	2	1	0	0	1	0	2	1	0	1	1	0	0	1
1	1	0	1	0	0	0	0	0	1	2	2	1	2	0	0	0	0	1	0	0	0	1	1	0	0	0	0	1	0	0	0	0	0	1	1	0	0	1	0	1	1	0	1	0	0	1	1	0	1	0	0	1	0	0	0	0	1	0	0	1	0	0	0	0	0	1	0	0	1	1	1	1	0	1	0	1	2	0	0	1	2	0	1	0	1	1	1	1	0	0	0	0	0	0	0	1	1	0	0	1
0	1	0	0	0	0	0	0	0	0	1	1	1	0	0	1	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	1	1	1	0	1	1	2	1	0	1	1	0	0	1	1	0	0	0	0	0	0	0	0	0	1	0	0	1	0	1	1	1	1	1	1	0	0	1	0	0	1	1	0	2	1	1	0	0	0	1	0	0	2	1	1	0	0	0	1
0	1	0	0	1	0	0	1	0	0	0	0	1	0	1	2	1	0	0	1	2	1	0	1	2	1	0	0	1	0	0	0	0	2	0	0	1	1	0	0	1	1	1	1	0	1	1	1	0	0	0	0	2	1	0	1	0	0	1	0	0	0	0	0	0	1	1	0	0	0	1	0	1	0	0	0	1	0	0	0	1	0	0	1	0	0	1	2	0	1	1	0	0	0	0	0	2	0	0	0	1
0	1	0	0	2	1	1	0	0	2	1	1	0	0	2	2	0	1	0	1	2	0	0	2	2	1	0	0	1	1	0	0	0	0	1	0	1	0	0	0	2	1	0	1	1	0	1	1	0	0	0	0	1	0	1	0	2	1	1	1	0	0	0	0	0	0	2	0	0	1	1	2	1	0	0	1	0	0	1	0	0	1	0	1	0	0	0	1	1	0	0	2	0	0	0	0	1	0	0	0	1
0	1	0	2	1	0	0	1	0	0	0	1	2	0	0	1	0	1	0	1	0	1	0	1	1	2	0	1	1	0	1	1	2	0	0	1	2	0	0	0	1	0	0	0	0	1	1	1	1	0	1	1	1	1	1	2	1	0	0	1	1	0	0	1	0	2	1	0	0	2	0	2	0	0	0	1	1	0	0	0	0	1	0	2	0	2	1	0	0	0	0	1	0	1	1	0	0	1	0	0	1
0	2	0	1	0	0	1	1	1	0	1	2	1	1	1	1	0	1	0	2	2	0	0	0	1	0	0	0	0	1	2	0	0	1	1	0	1	2	0	0	0	0	1	2	0	1	0	1	1	0	1	0	0	1	2	0	0	1	0	0	1	0	0	1	0	1	1	0	0	0	0	0	1	0	0	0	1	1	1	0	0	1	0	0	0	1	0	0	1	0	0	0	0	0	1	1	0	0	0	0	1
0	1	1	1	1	1	1	1	0	0	1	0	0	1	1	2	1	1	1	0	1	0	0	0	0	1	0	1	1	0	0	0	1	0	1	0	1	1	0	0	0	1	2	1	0	0	1	1	0	0	0	1	2	2	1	1	0	0	0	0	1	0	0	0	0	1	1	0	0	1	0	1	1	0	0	1	0	1	0	1	0	1	0	0	0	0	1	1	0	0	1	0	0	2	0	0	1	0	0	0	1
1	0	0	0	0	0	0	0	1	0	0	1	1	0	0	0	0	0	0	0	2	2	0	0	2	2	0	0	1	1	0	0	1	1	0	0	0	1	0	0	0	0	0	2	0	0	0	1	0	2	0	0	1	0	2	1	1	0	1	0	0	0	0	0	1	2	1	0	0	0	0	2	1	0	0	0	0	0	0	1	0	1	1	1	0	1	1	1	1	0	0	0	0	1	2	0	1	0	0	0	1
1	1	0	1	0	0	1	0	1	1	0	1	1	1	0	1	1	2	0	1	1	2	0	0	1	0	0	0	1	0	1	0	0	0	0	0	1	0	1	0	1	0	1	1	2	0	0	0	0	1	2	0	0	1	0	0	2	0	0	0	0	0	0	0	0	2	1	1	0	1	0	1	0	0	0	1	0	1	0	1	0	1	0	1	0	1	2	1	0	2	0	1	0	0	0	0	2	0	0	0	1
0	0	0	0	0	0	1	1	0	1	0	2	1	1	1	2	0	1	0	1	1	2	0	1	1	0	0	0	0	1	0	1	1	2	1	0	1	0	0	0	1	0	0	1	2	0	0	1	0	1	1	0	1	0	2	1	0	0	0	0	1	0	0	1	0	0	1	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	1	1	0	0	1	1	1	0	0	1	1	1	0	0	0	1
1	0	0	0	0	0	0	0	0	2	0	0	0	0	0	1	1	2	1	0	2	2	0	1	1	1	0	0	0	0	1	0	0	1	0	0	0	1	0	0	1	1	1	1	1	0	0	0	0	0	0	0	0	0	1	1	0	0	0	1	2	0	0	1	0	1	0	0	0	1	0	2	1	0	0	0	1	0	0	1	1	1	0	1	1	1	1	0	1	0	0	0	0	2	1	0	1	0	0	0	1
0	1	0	1	0	0	0	0	1	0	0	1	2	1	0	1	0	1	1	1	1	1	0	1	1	1	0	0	0	2	0	0	0	2	0	0	2	0	0	0	0	2	0	1	1	0	0	0	0	1	0	0	0	0	1	0	2	0	0	1	1	0	0	0	0	1	1	0	0	1	2	2	1	1	0	1	0	1	1	1	0	1	1	2	1	1	0	0	2	0	1	0	0	1	2	0	1	1	0	0	1
0	0	0	0	1	0	1	1	0	0	0	2	2	1	0	2	0	0	1	2	0	2	0	0	1	1	1	0	1	0	0	1	0	1	2	0	1	1	0	0	1	2	2	2	1	0	1	1	0	2	0	0	0	1	2	0	1	1	0	0	1	0	0	1	0	1	0	0	0	2	0	0	1	0	0	2	1	0	1	0	0	1	1	2	0	1	2	0	1	1	1	2	1	0	1	1	1	0	0	0	1
0	1	0	0	0	0	0	0	2	1	1	2	0	1	1	1	1	1	1	0	1	1	0	1	1	1	0	0	0	1	0	1	1	1	1	0	1	0	1	0	2	0	1	1	1	0	0	0	1	1	0	0	1	0	0	0	1	0	1	0	1	0	0	0	0	0	0	0	0	0	1	1	1	0	0	2	1	0	1	1	0	0	1	1	0	1	2	1	0	0	1	0	0	1	1	1	1	2	0	0	1
1	0	0	1	1	0	1	2	1	1	1	1	0	0	0	2	2	1	0	2	1	1	0	0	1	0	1	0	1	1	1	0	0	1	0	0	1	2	0	0	1	0	1	0	2	0	0	1	0	1	1	2	2	1	0	0	1	0	0	1	1	0	0	0	0	1	1	0	0	0	1	1	1	0	0	2	1	0	0	0	0	2	1	0	0	0	1	0	0	0	0	1	0	1	1	1	1	1	0	0	1
1	0	0	1	0	0	1	1	0	1	0	1	2	0	0	0	0	0	0	1	1	2	0	1	0	0	1	0	1	1	0	1	0	1	0	0	2	2	0	0	0	1	0	0	0	0	1	0	0	0	1	0	1	0	0	1	2	0	0	0	0	0	0	0	0	1	0	0	0	1	1	0	0	0	0	1	1	0	0	0	1	2	0	1	0	2	2	0	1	0	0	2	0	1	2	2	1	0	1	0	1
0	0	0	0	1	0	1	1	2	1	1	1	0	0	0	1	0	2	1	1	0	0	0	1	0	0	1	0	0	0	0	1	1	1	1	0	1	0	0	0	1	1	1	1	1	0	0	1	0	1	0	0	1	0	0	0	2	0	0	0	1	0	0	0	0	1	0	0	0	0	0	2	0	1	0	2	0	2	2	0	1	1	0	1	0	1	0	1	2	0	0	0	0	1	1	0	1	1	0	0	1
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0	0	0	1	0	1	0	0	0	0	2	1	0	1	0	2	1	1	0	0	0	2	0	1	0	0	1	0	0	1	1	1	0	1	1	0	1	0	0	0	0	0	1	1	1	0	1	1	1	0	1	1	1	1	1	2	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	1	1	1	1	2	0	0	1	0	0	2	1	2	0	0	2	1	0	0	0	0	0	0	0	0	0	1	0	0	1
0	1	0	0	1	0	1	0	0	0	0	0	1	1	0	1	0	1	0	2	1	2	0	0	0	1	1	0	0	0	1	2	0	1	0	0	0	1	1	0	0	1	1	1	0	1	0	2	0	2	1	1	0	2	1	1	0	0	0	0	0	0	0	0	0	1	2	0	0	1	0	1	1	0	0	1	0	1	0	2	0	2	0	0	0	0	0	0	1	0	0	0	0	0	0	0	1	0	0	0	1
1	1	0	0	0	1	0	0	1	1	1	2	1	2	0	2	0	2	1	1	1	1	0	0	1	1	0	0	1	0	1	1	0	2	2	0	2	0	0	0	0	1	1	0	2	0	1	1	1	1	1	1	1	0	1	1	2	0	0	1	0	1	0	0	1	1	0	0	0	1	0	1	1	0	0	1	1	2	0	0	0	0	0	0	0	1	2	1	2	1	0	0	0	2	0	0	2	2	0	0	1
0	0	0	0	0	0	0	1	1	1	1	2	0	2	0	2	0	1	0	2	2	2	1	0	1	0	0	0	0	0	0	0	0	1	0	0	0	0	1	0	0	1	2	2	2	0	0	0	0	1	1	2	1	0	0	0	2	1	1	1	1	0	0	0	1	1	1	1	0	1	0	1	0	0	0	0	1	1	0	0	0	1	0	2	0	1	1	1	1	0	0	0	0	0	0	0	2	0	0	0	1
1	1	0	1	1	0	1	0	2	1	1	2	2	1	0	1	1	0	1	1	0	1	0	1	1	0	0	0	1	1	0	1	0	1	0	0	1	1	0	0	0	1	1	0	1	0	1	1	0	1	0	0	1	0	0	0	1	1	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	1	0	0	1	1	2	2	0	1	0	0	0	0	0	1	1	0	0	1
0	2	1	0	1	0	0	1	0	0	0	1	0	0	1	2	0	0	0	0	1	1	0	0	1	0	1	0	1	1	0	0	1	1	0	0	0	0	2	0	0	0	0	2	0	0	0	1	1	1	1	2	1	0	1	2	1	1	0	2	1	0	0	1	0	1	1	0	0	1	0	2	0	0	1	0	0	1	2	0	0	1	0	0	0	2	2	1	0	0	0	0	0	1	1	1	1	1	0	0	1
0	1	0	1	1	0	0	0	0	2	1	1	0	0	0	1	0	0	0	1	2	2	0	0	0	0	0	0	1	0	0	1	0	1	1	0	1	0	0	0	0	1	0	1	2	0	0	0	1	1	0	0	0	0	0	0	1	0	0	0	0	0	0	1	0	1	1	0	0	1	1	1	0	1	1	0	0	2	0	0	2	2	0	1	0	1	2	1	1	0	0	0	0	1	0	1	1	0	0	0	1
1	0	0	1	0	0	1	0	0	1	0	1	0	1	0	2	0	2	0	0	0	1	0	2	2	0	0	0	0	2	0	0	0	1	0	0	1	0	0	0	1	1	1	0	1	0	1	0	0	1	0	0	1	2	0	2	1	1	0	2	0	0	0	1	0	0	0	0	0	0	2	0	1	0	1	0	1	1	0	0	0	1	0	2	0	1	2	1	0	0	1	0	0	1	1	0	0	1	0	0	1
0	2	0	0	0	0	0	1	1	0	0	1	0	1	1	0	2	1	0	1	0	1	0	0	0	0	1	0	1	0	1	0	1	0	2	0	1	1	1	1	2	0	0	1	2	0	0	0	0	1	1	1	2	0	1	1	0	1	2	0	0	0	1	0	1	1	1	0	0	0	0	1	1	0	0	1	0	1	0	0	0	1	0	0	0	1	1	2	1	1	1	0	0	2	0	0	0	0	0	0	1
0	0	0	1	1	0	0	0	0	1	1	2	1	1	0	1	0	2	0	1	1	0	0	2	0	0	0	0	0	0	0	0	0	1	1	1	2	1	0	1	2	1	0	1	1	0	0	2	0	0	0	0	0	1	0	1	1	0	0	0	1	0	0	0	0	1	2	0	0	1	1	1	0	0	0	1	0	0	0	0	0	0	1	1	0	0	2	1	0	0	1	0	0	0	2	2	2	0	0	0	1
0	1	0	1	0	1	0	0	0	2	0	0	1	1	1	0	0	2	1	2	1	0	0	0	0	1	1	1	0	1	0	0	0	0	0	0	0	0	0	0	1	1	0	1	1	0	1	2	0	0	0	0	1	0	0	1	1	0	0	2	1	0	0	0	0	1	1	0	0	2	1	2	0	0	0	0	2	1	0	1	0	0	0	1	0	1	2	1	0	0	1	1	0	0	2	0	1	1	0	0	1
0	0	0	0	0	0	1	0	0	0	2	1	0	0	0	0	1	1	2	1	0	1	0	0	1	0	0	1	2	0	1	2	0	1	1	0	0	0	0	0	0	0	1	1	2	0	1	0	2	1	1	1	1	0	1	2	1	0	0	0	1	0	0	0	0	2	1	0	0	1	1	0	0	0	0	0	0	0	0	0	1	1	0	1	0	0	1	0	1	1	0	0	0	1	0	1	1	1	0	0	1
0	0	0	0	0	1	0	1	0	1	1	2	2	2	0	1	1	2	0	0	1	2	0	1	1	0	0	0	1	1	0	0	1	1	2	0	2	1	1	0	0	1	0	2	1	0	1	0	0	2	0	0	1	1	1	0	1	0	0	0	1	0	0	0	0	1	2	0	0	1	1	0	0	0	0	0	1	1	0	0	0	1	2	0	0	1	0	2	0	0	0	0	0	1	0	1	0	1	0	0	1
0	0	0	0	0	0	1	0	0	0	1	1	0	1	0	1	1	0	2	1	1	0	1	0	1	0	1	0	2	1	0	0	0	2	0	0	2	1	1	0	1	0	0	1	1	1	0	2	0	2	1	1	1	0	2	0	1	0	0	0	0	0	0	1	1	0	1	0	0	1	0	2	1	1	0	1	1	1	0	1	0	2	1	0	0	0	1	1	2	0	1	0	0	1	1	0	0	1	0	0	1
0	0	1	0	0	0	0	1	0	1	0	0	2	1	1	1	0	0	0	0	0	1	0	0	1	0	2	2	0	1	0	2	0	0	0	0	1	1	0	0	2	1	1	1	0	0	1	0	0	0	0	1	0	0	0	1	1	0	0	0	1	0	0	1	0	1	0	0	0	0	0	0	1	0	1	1	1	1	0	0	0	0	0	0	0	2	2	1	1	0	1	1	0	0	2	2	0	1	0	0	1
0	0	0	0	0	0	1	1	1	1	0	0	1	1	1	2	0	0	1	0	1	1	0	0	0	0	0	0	0	1	0	2	0	0	1	0	0	0	0	0	0	0	1	1	2	0	1	0	1	0	1	1	1	1	1	1	1	0	0	1	1	0	0	0	0	1	2	0	0	0	1	1	1	0	0	1	0	0	0	0	1	1	1	1	0	0	0	1	2	1	0	0	0	1	1	0	0	0	0	0	1
0	0	0	0	0	0	0	0	1	2	2	1	1	1	1	2	0	1	0	1	1	1	0	0	2	0	0	1	2	0	0	1	0	0	1	1	2	0	0	0	0	1	1	2	2	0	0	0	1	0	2	2	2	1	2	1	2	0	0	0	0	0	0	1	0	1	0	2	0	1	1	2	1	1	0	2	0	2	0	1	0	0	0	0	0	1	1	0	1	1	0	0	0	0	1	0	0	1	0	0	1
0	1	0	1	0	1	0	1	0	0	1	1	0	0	1	0	0	1	0	1	2	1	0	1	1	0	0	1	2	1	1	0	0	0	0	0	1	0	0	0	0	1	1	1	1	1	1	0	1	1	0	2	0	0	2	1	1	1	1	1	0	0	0	0	1	1	1	0	0	0	0	1	1	1	0	0	1	2	0	1	0	1	0	0	0	0	1	0	1	0	0	0	0	1	1	1	2	2	0	0	1
0	0	0	0	0	1	0	0	1	1	0	0	1	1	0	2	0	1	1	1	0	1	0	0	1	0	0	0	0	1	0	0	1	2	0	0	0	1	1	0	0	2	2	1	1	1	0	1	0	1	1	0	1	0	1	1	0	0	0	0	1	0	0	0	0	1	0	1	0	0	0	0	1	0	0	0	1	1	0	1	0	1	1	2	0	1	1	1	0	1	0	0	0	0	2	0	1	0	0	0	1
1	1	0	0	0	0	0	0	2	1	0	1	1	1	0	1	0	1	0	0	0	0	0	1	2	0	0	0	0	1	0	1	1	0	1	0	1	0	1	0	1	2	1	1	1	0	0	0	1	1	0	1	0	1	2	0	0	0	0	1	0	0	1	1	1	1	1	0	0	0	2	1	1	1	0	1	1	0	0	0	0	0	0	2	0	0	2	1	0	0	1	0	0	0	0	0	2	0	0	0	1
0	1	0	1	0	1	1	1	2	2	1	1	1	1	1	2	0	0	0	0	1	0	0	1	0	1	1	1	0	0	1	1	1	2	0	0	1	0	1	0	2	2	1	1	0	0	0	2	1	1	2	1	1	0	2	1	1	1	0	0	0	0	0	1	1	1	1	0	0	1	0	1	1	1	1	1	0	0	0	0	0	1	1	1	0	1	1	0	0	0	0	1	0	0	0	0	1	1	0	0	1
0	0	0	0	0	0	0	1	1	0	1	2	1	1	0	1	1	2	0	1	1	1	0	1	1	0	0	1	0	1	0	1	1	1	1	0	0	0	1	0	1	1	0	2	2	0	0	1	0	0	0	0	0	0	0	0	2	1	0	0	1	0	0	0	1	0	0	0	0	1	0	1	0	2	0	1	0	1	0	1	0	1	0	1	1	0	2	0	2	1	0	0	0	1	1	1	0	1	0	0	1
0	2	0	0	0	1	0	0	0	0	0	1	0	0	0	2	0	0	1	1	1	1	0	1	0	1	1	1	0	1	0	1	0	0	2	0	1	1	0	0	0	1	1	2	1	0	0	2	0	0	2	2	0	0	2	2	1	0	0	1	2	0	0	1	1	2	0	0	0	1	0	1	0	2	1	0	1	1	0	0	0	0	0	2	0	1	2	1	0	0	0	0	0	0	2	0	2	0	0	0	1
0	0	0	1	1	0	0	0	0	1	0	1	0	1	0	1	0	1	0	0	1	1	0	1	0	0	0	1	0	0	0	0	0	0	2	0	1	0	2	1	0	0	1	1	1	0	0	0	0	0	0	0	0	0	1	1	0	1	0	0	0	0	0	1	0	0	2	0	0	1	1	1	0	2	0	0	0	1	1	1	1	0	0	0	0	1	2	1	0	0	0	0	0	1	0	1	0	0	0	0	1
0	0	0	1	0	0	0	0	0	0	1	2	1	0	0	1	0	0	0	1	0	0	1	2	0	0	0	0	1	1	0	0	0	0	1	0	0	0	0	0	1	0	0	1	1	0	0	1	1	0	0	0	0	0	2	2	1	1	0	1	1	0	0	1	0	0	0	0	0	1	1	0	0	0	2	2	0	0	1	0	0	0	1	2	0	0	1	1	0	0	0	1	0	0	0	0	2	0	0	0	1
0	1	0	1	0	1	0	0	1	1	2	1	1	1	0	1	0	0	1	1	1	1	0	1	1	0	0	0	0	0	0	0	0	0	1	0	2	1	0	0	2	1	1	1	1	1	1	0	0	0	1	0	1	1	0	2	1	0	0	1	1	0	1	0	0	1	1	0	0	0	0	1	1	1	0	2	1	0	0	0	0	0	0	0	0	1	0	0	1	0	1	1	0	0	1	0	1	1	0	0	1
1	2	0	0	0	0	1	0	0	1	0	0	0	1	1	1	0	1	0	1	2	2	1	1	1	1	0	0	0	0	0	0	0	0	1	0	1	1	1	0	1	1	1	1	0	0	1	1	0	1	0	0	1	0	2	0	0	0	0	0	1	0	0	0	0	0	0	0	0	1	0	0	1	1	0	1	1	2	0	0	0	0	1	0	0	0	0	1	2	0	0	0	0	1	1	1	2	1	0	0	1
0	2	0	0	1	0	0	0	0	0	0	2	2	0	0	0	0	2	0	1	0	1	0	2	1	2	2	0	0	0	0	1	0	2	1	1	0	1	1	0	0	1	0	0	0	0	0	0	1	0	0	0	1	0	2	1	1	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	1	0	0	2	1	1	0	1	1	1	2	0	0	2	0	0	1	1	0	0	0	1	0	0	2	0	0	1	1
0	2	0	0	0	0	1	0	1	1	1	2	0	0	1	1	0	0	1	0	1	0	0	0	1	1	0	0	0	0	1	0	1	2	1	0	1	0	0	0	1	1	2	1	2	1	0	2	1	2	1	2	0	0	1	1	0	2	0	1	1	0	0	0	0	0	1	0	0	2	0	0	0	0	0	2	0	1	0	0	0	1	0	1	0	1	0	1	1	0	0	1	0	0	0	1	1	0	0	0	1
1	1	0	1	1	0	1	1	1	1	0	1	1	1	0	1	0	0	0	0	1	0	0	1	0	1	1	0	0	1	0	0	0	1	2	0	0	1	1	0	0	0	0	1	1	0	1	1	0	0	1	1	0	2	1	0	1	0	0	0	0	0	1	0	0	1	1	1	0	0	0	1	0	0	1	2	1	1	0	0	0	1	2	1	0	1	1	1	0	0	0	0	0	0	2	0	1	1	0	0	1
0	2	0	0	0	0	1	0	1	1	1	2	1	1	0	2	0	0	1	0	1	2	0	1	0	0	0	1	0	1	0	1	0	1	1	0	2	0	0	0	0	1	2	1	2	0	0	0	0	2	1	0	0	0	1	1	2	2	0	1	2	0	0	0	1	1	0	0	0	0	2	2	1	0	1	1	1	1	0	0	0	1	1	0	0	0	1	0	1	1	0	1	0	0	0	1	1	0	0	0	1
0	2	1	0	0	0	0	0	1	1	0	1	0	0	0	2	0	1	0	0	1	1	0	0	1	1	0	0	1	1	0	1	0	2	1	0	1	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	1	1	2	1	2	0	1	0	0	0	0	0	0	1	0	1	0	1	0	2	0	0	1	2	1	1	0	0	0	0	0	1	0	2	0	1	1	1	1	0	0	1	2	0	0	1	0	0	1
0	0	0	1	0	0	0	0	1	1	0	1	0	1	1	1	0	1	0	1	1	1	0	0	1	0	1	0	0	0	0	1	0	1	1	0	2	0	0	0	2	0	0	1	2	0	0	0	1	0	0	0	1	1	2	1	1	0	0	0	1	0	0	0	1	1	1	1	0	0	0	2	0	1	0	1	1	0	0	1	1	0	1	0	0	1	2	1	2	0	0	0	0	0	2	0	1	1	0	0	1
0	2	0	0	0	0	0	0	1	0	0	2	0	1	1	2	0	0	1	1	2	2	0	0	1	0	0	0	1	0	1	2	0	0	0	0	0	1	0	1	0	0	0	0	2	0	1	0	0	1	0	0	1	1	1	0	1	0	0	0	0	0	1	0	1	0	0	0	0	0	1	2	1	0	1	0	0	1	0	1	1	1	0	0	0	1	2	1	2	1	1	2	1	0	1	1	1	0	0	0	1
0	1	0	0	0	1	0	1	0	1	1	0	1	1	0	1	0	1	0	0	2	2	0	1	0	1	0	0	0	0	0	1	1	0	2	1	2	1	0	0	2	1	1	1	1	0	1	0	1	1	0	0	0	0	1	1	1	0	0	1	2	0	0	0	0	1	0	0	0	1	1	0	0	1	0	0	2	0	0	1	1	2	0	0	0	0	0	1	1	0	0	1	0	0	0	1	0	0	0	0	1
1	0	0	2	0	0	0	0	1	0	1	2	1	0	0	2	0	0	0	2	0	1	0	0	1	0	0	0	2	0	0	0	0	1	0	0	1	1	1	0	0	0	0	1	1	0	0	1	1	1	0	0	2	1	0	0	1	1	0	0	0	0	0	0	0	1	2	0	0	1	0	0	1	1	1	0	0	0	1	0	0	0	1	0	0	1	0	1	1	0	0	1	0	1	1	0	1	1	0	0	1
0	0	0	1	0	0	0	0	0	1	0	2	0	1	0	2	2	1	0	1	0	1	0	0	1	0	1	0	0	1	0	0	0	1	1	0	1	0	1	0	0	1	1	0	2	0	1	1	0	0	0	0	1	0	1	0	2	0	0	0	0	0	0	1	0	0	0	0	0	1	1	2	0	0	0	0	1	0	1	1	1	0	0	0	0	0	1	0	1	0	0	0	0	0	1	1	1	1	0	0	1
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1	0	2	1	0	1	0	0	2	0	0	0	1	2	0	0	0	0	1	1	1	0	0	0	1	0	0	0	1	0	0	1	0	1	1	0	0	0	2	0	0	0	1	0	1	0	1	0	0	2	1	0	1	1	2	0	0	0	1	1	2	0	1	0	0	1	2	0	0	0	0	1	0	0	0	0	1	1	0	0	0	2	1	0	0	2	1	1	0	0	0	1	0	0	1	0	1	1	0	0	1
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1	1	0	0	1	0	1	1	0	1	0	1	0	0	0	1	0	1	1	2	1	2	0	1	0	0	1	0	1	0	1	0	0	0	2	2	1	1	1	0	1	2	0	1	1	0	0	1	0	2	0	1	0	0	1	0	1	1	1	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	1	1	1	1	2	0	1	0	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0	0	1	1
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1	0	0	0	0	0	0	1	1	0	0	2	2	0	0	1	0	1	0	1	0	2	1	0	0	0	0	0	0	0	0	0	1	1	1	0	2	0	1	0	0	1	2	2	1	0	1	0	1	1	0	0	1	2	2	1	1	0	0	1	0	0	0	1	0	1	2	0	0	2	0	1	1	0	0	1	0	1	0	1	0	1	1	1	0	1	1	2	0	0	1	0	0	1	0	1	1	0	0	0	1
0	1	0	1	1	0	0	0	0	0	1	1	0	0	0	0	0	2	1	0	1	1	0	0	0	1	0	0	1	1	0	1	0	0	1	0	0	0	0	0	1	0	1	1	1	0	1	0	2	0	0	0	0	2	0	1	1	0	1	1	1	0	1	0	0	1	1	0	0	1	1	0	0	1	0	1	1	1	2	1	0	0	0	1	0	1	0	1	1	0	0	2	0	1	0	0	2	0	1	2	1
0	1	0	1	0	1	0	0	0	1	2	2	0	1	1	2	0	0	0	1	1	2	0	1	1	1	0	0	0	1	1	0	0	1	2	0	1	0	0	0	1	1	1	1	2	0	0	1	0	2	0	1	1	0	0	1	1	0	0	0	0	0	0	0	0	0	1	0	0	1	1	1	2	0	0	0	0	0	0	1	0	1	0	2	0	1	0	0	0	1	0	0	0	0	0	0	2	1	0	0	1
0	0	0	0	1	0	0	0	0	1	0	0	1	1	1	0	0	1	1	0	1	1	0	1	0	0	0	1	1	0	0	2	1	1	1	0	1	0	0	0	2	0	1	2	2	0	0	1	0	0	1	1	1	0	0	1	0	0	0	1	2	0	1	1	0	1	2	0	0	0	2	1	0	1	0	1	1	2	1	1	1	1	0	1	1	1	0	0	2	1	0	0	0	1	0	0	1	0	0	0	1
1	0	0	0	0	1	1	0	0	0	0	2	1	0	0	1	0	0	2	1	1	1	0	0	0	0	1	0	1	0	0	0	0	1	0	0	1	1	2	0	2	0	0	1	1	1	0	0	0	1	0	2	0	2	2	0	0	0	0	0	0	0	0	1	0	1	1	0	0	0	0	1	1	0	2	1	0	0	0	0	0	1	0	1	0	0	1	2	1	0	0	1	0	0	1	1	0	1	0	0	1
0	1	0	0	0	2	0	1	1	2	2	2	0	0	1	1	0	1	0	0	0	2	0	1	1	0	0	0	0	0	0	0	0	0	2	0	0	0	1	0	1	2	0	0	0	0	0	1	1	1	1	0	1	1	1	0	1	0	0	0	1	0	0	0	0	0	2	1	0	0	0	1	0	0	0	0	1	2	2	0	0	1	0	2	0	1	2	1	2	0	1	1	0	1	1	0	1	0	0	0	1
1	0	0	1	0	0	0	2	0	0	1	1	1	1	1	1	0	1	0	1	1	1	0	1	1	1	0	0	1	0	1	0	0	0	1	0	2	0	1	0	1	2	1	1	0	0	0	0	0	0	1	1	0	0	1	0	1	0	0	1	1	0	0	1	2	0	1	0	0	0	0	0	1	1	0	1	2	1	0	1	0	0	1	0	0	1	2	1	1	1	1	0	0	0	0	0	1	0	0	0	1
0	0	1	0	0	0	0	1	0	0	2	1	1	0	0	2	1	1	1	1	0	1	0	0	1	0	0	0	0	0	0	0	0	1	1	0	1	2	1	0	1	0	1	1	1	0	0	0	0	0	1	0	0	0	1	1	1	1	0	1	0	0	1	1	1	1	1	1	0	0	0	0	1	0	1	1	1	0	0	2	1	1	0	1	0	1	1	0	1	1	0	0	0	0	0	0	0	1	1	0	1
0	0	0	1	2	0	1	1	0	2	1	0	1	1	0	1	0	1	1	0	2	2	0	0	1	1	1	0	0	0	1	1	0	1	0	1	2	1	0	0	2	1	0	2	1	0	1	0	0	0	1	0	1	0	1	1	0	0	0	1	1	0	0	0	1	0	0	0	0	1	0	2	1	0	0	0	1	0	0	0	0	1	1	0	0	0	2	1	0	1	1	0	0	1	1	0	1	2	0	0	1
0	2	0	0	0	1	0	0	1	0	1	2	1	1	1	0	0	1	1	1	1	0	0	0	0	0	0	0	1	1	0	0	0	1	0	0	2	1	0	0	0	1	1	0	1	0	0	0	0	1	0	0	2	0	2	1	0	0	0	0	1	0	0	0	1	0	1	0	0	0	0	1	0	1	0	1	0	1	0	0	1	0	1	1	0	1	1	0	1	0	0	1	0	1	0	0	1	1	0	0	1
0	2	0	0	0	1	1	0	0	1	1	2	0	1	0	1	1	0	1	0	0	1	0	0	1	0	1	0	0	0	0	0	0	1	0	0	1	1	1	0	0	2	2	2	1	0	0	0	0	0	0	1	0	0	1	2	1	0	0	0	0	0	1	1	1	1	1	0	0	1	0	1	1	1	0	2	0	0	1	0	0	0	1	0	0	1	0	1	0	0	0	1	0	1	1	0	2	0	0	0	1
1	1	1	1	0	0	0	0	1	0	1	2	1	0	0	1	0	1	0	2	0	1	0	2	0	1	1	0	1	1	0	0	0	1	0	0	2	0	0	0	1	1	1	1	2	0	0	0	0	1	2	0	2	1	1	0	2	0	0	0	1	0	1	0	0	2	1	0	0	0	1	1	0	0	1	1	1	0	2	0	0	1	1	1	0	0	0	1	1	0	0	0	0	1	0	0	0	0	0	0	1
1	1	0	1	0	0	0	0	0	1	0	2	1	0	0	1	1	0	0	1	1	1	0	0	0	1	1	0	0	1	0	0	0	1	1	0	0	0	0	0	0	1	1	1	1	0	0	1	0	0	0	0	1	1	1	2	1	0	0	2	1	0	0	1	0	2	0	0	0	1	0	0	0	1	0	1	0	2	0	0	0	1	0	0	0	1	2	1	1	0	0	1	0	0	1	1	0	0	1	0	1
0	0	0	1	1	0	1	0	0	1	1	2	1	0	0	0	1	0	0	2	1	1	0	1	1	0	0	0	0	1	1	1	0	0	2	1	1	1	1	1	0	1	1	1	1	0	0	0	0	1	0	0	1	0	0	2	2	0	0	1	0	0	0	0	0	0	1	0	0	0	0	0	0	1	0	0	1	0	1	1	0	1	0	1	0	0	1	0	1	0	0	0	0	1	1	1	0	0	0	0	1
1	1	0	1	0	0	0	2	0	1	0	2	0	0	1	2	0	1	0	2	2	1	0	0	0	1	0	0	0	2	1	1	0	1	1	0	2	0	0	1	0	1	1	1	0	0	0	1	1	0	1	1	0	1	0	0	1	1	0	1	1	0	0	1	0	2	1	0	0	1	0	0	1	0	0	0	1	2	0	0	0	1	0	0	0	0	1	1	1	1	0	1	0	1	0	1	0	1	0	0	1
0	2	0	1	0	1	0	0	1	1	0	1	1	0	0	0	0	2	0	0	1	1	0	2	1	2	0	1	1	1	1	2	1	1	0	1	2	1	1	0	0	1	1	1	1	0	1	1	0	1	0	1	0	0	0	0	1	0	0	0	0	0	0	0	0	2	2	1	0	1	0	1	2	0	0	1	2	2	0	0	1	0	1	1	0	0	2	2	0	0	0	0	0	0	0	1	0	1	0	0	1
0	0	0	0	1	0	1	1	1	0	1	0	0	0	0	1	0	0	1	0	2	0	0	0	2	0	0	1	0	1	0	0	0	1	0	0	1	1	0	0	1	2	1	0	2	0	1	1	0	0	0	0	0	2	0	1	2	1	0	1	0	0	0	0	0	1	1	0	0	1	1	0	1	1	0	2	1	0	0	0	0	0	0	1	0	2	0	0	1	0	0	0	0	0	0	0	1	1	0	0	1
1	2	0	0	1	0	1	0	0	0	1	0	1	1	2	0	0	0	0	1	1	0	0	1	1	0	0	0	0	1	0	2	0	1	0	0	0	1	0	0	0	1	0	2	2	0	0	0	2	1	1	1	0	0	1	0	1	0	0	0	1	0	0	0	1	1	0	0	0	1	0	1	0	2	2	0	1	1	0	1	0	1	0	0	0	1	2	1	1	0	0	0	0	0	1	1	1	1	0	0	1
1	2	0	1	0	0	1	0	1	1	0	2	1	2	2	1	0	1	2	2	1	0	0	0	1	1	0	0	0	1	1	0	0	0	1	0	0	1	0	0	1	2	1	1	2	0	0	1	0	1	0	1	0	0	1	1	2	1	0	0	0	0	0	0	1	0	2	0	0	0	0	0	1	0	0	0	1	0	0	0	1	0	0	0	0	2	0	0	1	0	0	1	0	1	1	1	2	1	0	0	1
0	2	0	0	0	1	1	0	0	0	0	0	1	1	0	1	0	0	2	1	0	0	0	0	0	0	1	0	0	1	1	0	1	0	1	0	0	0	1	0	1	1	0	1	2	0	0	0	0	2	0	0	0	1	0	2	1	0	0	2	0	1	0	1	1	0	1	0	0	0	0	1	1	0	0	2	0	1	0	0	1	1	0	0	0	1	2	1	2	0	0	0	0	0	0	1	2	0	1	0	1
1	0	1	0	1	2	0	0	0	0	0	2	0	0	0	1	0	1	1	2	0	0	1	0	1	0	0	0	0	0	0	0	0	2	0	0	1	1	0	0	1	0	1	2	1	1	0	2	0	1	1	1	0	2	0	0	2	0	0	0	2	0	0	1	0	1	0	0	0	1	1	1	0	0	0	2	1	1	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	1	0	2	0	1	0	0	1
0	0	1	0	1	0	0	1	0	0	0	1	0	1	0	0	0	0	1	0	0	1	0	1	0	0	0	1	0	1	1	0	0	1	1	1	1	0	0	0	1	1	1	2	1	0	0	0	1	1	0	1	0	1	1	1	0	1	1	0	0	0	1	0	0	1	2	0	0	1	0	1	1	1	1	0	1	0	0	1	0	0	0	2	1	1	2	0	1	0	1	1	0	0	0	1	1	2	0	1	1
1	0	0	0	0	0	0	0	1	0	1	1	1	0	0	1	0	0	1	2	0	1	0	0	1	1	1	0	0	1	1	0	1	0	2	0	1	2	0	0	1	0	0	0	2	0	0	0	0	1	0	2	0	2	2	0	1	0	1	0	2	0	0	0	0	1	1	0	0	1	0	1	1	0	1	2	0	1	0	0	0	0	0	1	0	1	2	0	0	1	1	2	0	1	0	0	2	0	0	0	1
2	1	0	0	0	0	1	1	0	1	0	1	0	0	1	0	1	1	1	0	0	1	0	0	0	1	0	0	0	0	0	2	0	1	1	0	0	1	0	0	1	2	1	0	1	0	0	0	1	0	0	2	1	0	2	1	1	0	0	0	2	0	0	0	0	0	0	0	0	0	1	1	0	1	2	1	1	1	0	0	0	1	0	0	1	2	2	1	1	0	1	0	0	1	1	1	0	1	0	0	1
0	0	0	1	0	0	0	1	1	1	0	0	1	0	0	1	0	1	1	0	1	0	1	2	1	0	1	1	1	1	0	0	0	1	1	0	0	0	1	1	0	1	0	1	2	1	0	0	0	1	0	1	1	0	1	2	0	0	1	1	0	0	0	1	0	1	1	0	0	1	0	0	0	0	0	1	0	2	0	1	0	2	1	0	1	1	2	0	1	1	1	0	0	2	0	0	0	0	0	0	1
0	2	0	0	1	0	1	0	1	1	1	0	0	0	1	2	0	2	0	2	0	0	1	0	1	0	0	0	0	2	0	1	1	2	0	0	2	1	0	0	0	1	0	1	0	0	1	0	0	2	1	1	0	1	2	0	2	1	1	0	0	0	0	0	0	1	1	0	0	2	1	1	0	0	1	1	0	1	1	0	1	0	0	1	0	2	1	0	0	0	0	0	0	0	1	0	0	1	0	0	1
0	1	0	2	0	0	0	0	0	2	1	1	1	1	1	2	0	1	0	1	0	2	0	2	0	1	0	1	0	0	1	0	0	1	0	0	2	0	1	0	1	1	1	0	2	0	0	1	0	2	0	0	2	2	1	1	1	0	1	0	1	0	1	1	0	1	1	0	0	1	0	1	1	0	0	1	0	2	1	1	0	1	0	0	0	1	1	1	0	0	0	0	0	1	0	0	1	1	0	1	1
0	1	0	0	1	1	0	1	0	1	2	0	0	0	1	0	1	1	1	1	2	1	0	2	1	1	0	1	0	0	0	1	0	1	1	0	0	1	0	0	1	2	1	1	0	1	1	0	0	0	0	0	2	0	0	1	1	0	0	0	1	0	0	1	0	1	1	1	0	1	0	1	0	0	0	0	1	1	0	0	1	1	0	0	0	1	0	1	0	0	1	0	0	1	1	0	0	1	0	0	1
1	1	0	0	1	0	0	0	1	2	0	1	1	1	0	1	1	1	1	1	1	1	0	0	0	0	0	0	1	0	0	0	0	2	2	0	1	0	0	0	1	1	1	0	0	0	0	0	0	1	0	0	0	1	2	0	1	0	0	1	1	0	0	2	0	0	1	0	1	1	0	0	0	0	0	0	1	0	0	1	0	2	0	1	0	2	2	2	1	1	0	0	0	0	1	0	0	2	0	0	1
0	0	0	2	2	0	0	0	0	2	1	1	0	0	0	1	0	0	1	1	0	0	0	0	1	0	0	0	0	0	0	0	0	1	0	0	2	1	0	0	0	0	0	1	0	0	0	0	0	1	0	1	0	1	2	0	1	1	0	0	0	0	0	1	2	0	1	0	0	0	1	0	0	2	0	1	1	1	1	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	1	1	0	0	1
0	0	0	0	0	0	0	0	1	1	0	1	0	1	0	1	0	0	0	1	0	2	0	1	2	0	1	1	0	1	0	0	0	2	2	1	1	0	0	0	0	1	1	1	2	0	0	0	0	1	1	1	1	1	0	0	0	0	1	0	2	0	0	0	0	1	2	0	0	0	0	0	0	0	0	0	1	0	2	1	0	0	1	1	0	0	1	2	1	0	0	0	0	2	1	0	1	0	0	0	1
0	0	0	1	0	0	0	2	1	1	0	1	0	2	0	2	0	0	1	0	0	2	0	1	0	0	1	0	2	0	1	0	0	1	2	0	0	0	1	0	0	1	0	1	2	0	0	0	0	2	0	0	0	1	1	0	1	1	0	1	2	0	0	2	1	1	1	0	0	1	2	0	2	0	1	1	0	1	0	0	0	1	0	1	0	2	2	0	2	1	2	1	0	0	0	2	0	1	0	0	1
0	1	0	0	0	0	0	1	1	1	1	2	0	1	0	1	0	0	0	0	0	0	0	2	0	0	1	0	2	0	1	0	0	0	0	0	2	0	1	0	0	2	0	0	0	0	0	1	0	2	0	0	1	0	2	1	1	0	0	0	1	0	0	1	0	2	2	0	0	0	1	1	0	0	0	0	0	2	1	1	0	0	0	0	0	1	2	0	0	0	0	1	0	0	2	1	2	1	0	0	1
1	2	1	0	0	0	0	0	0	1	0	0	0	1	0	1	1	1	1	1	1	1	0	0	0	0	1	0	0	0	1	0	2	1	0	1	1	1	1	0	0	1	1	2	1	0	1	0	0	1	0	0	0	2	1	1	0	1	0	1	2	0	1	0	0	0	1	1	0	1	0	1	0	1	1	1	2	1	0	0	0	0	1	1	0	1	2	1	0	0	1	0	0	0	0	0	1	1	0	0	1
0	1	0	0	0	0	0	0	1	0	1	0	1	1	0	0	1	1	0	1	0	2	0	1	1	1	0	2	2	0	0	0	1	2	1	0	1	2	0	0	1	1	1	1	2	0	0	0	0	0	0	0	0	2	1	0	1	0	0	2	1	0	0	0	0	1	1	0	0	0	1	1	0	0	2	0	0	0	1	0	0	1	1	1	0	1	0	2	1	1	1	1	0	0	1	1	0	0	0	0	1
0	0	0	0	1	0	2	0	1	1	0	1	1	1	0	1	0	0	0	0	1	1	0	0	1	1	1	0	0	1	0	0	0	1	1	0	0	1	0	0	1	2	0	2	1	0	0	0	0	1	0	0	0	0	0	1	0	1	0	0	2	0	0	0	1	1	2	1	0	1	1	0	1	0	0	0	1	1	1	0	0	0	1	0	1	0	2	2	0	0	0	1	0	1	1	0	1	0	0	0	1
1	1	1	0	0	0	0	0	0	0	0	1	1	1	0	2	0	1	1	1	0	1	0	0	1	0	0	0	0	1	0	0	0	0	0	0	1	0	1	0	0	2	1	2	1	0	0	2	0	0	0	1	1	1	0	1	1	0	0	0	1	0	0	0	0	1	0	0	0	0	1	0	1	1	0	2	0	1	0	1	0	1	0	0	1	0	1	1	0	1	2	0	0	1	0	0	0	0	0	0	1
0	1	0	0	1	0	0	0	1	0	0	1	1	0	0	1	1	1	0	2	0	0	0	1	0	0	0	0	0	1	0	1	0	1	2	0	0	0	0	0	1	1	2	1	0	0	0	0	0	0	0	0	2	1	1	0	1	0	0	0	1	0	0	0	0	1	0	0	0	1	0	0	0	1	0	1	0	1	0	1	0	0	0	1	0	0	0	1	0	0	1	0	0	0	0	1	1	0	0	0	1
0	2	0	2	0	0	0	0	0	1	1	1	1	1	0	1	0	0	0	0	1	1	0	0	0	1	1	1	0	0	0	0	1	1	2	0	0	0	0	0	1	1	1	1	2	1	0	0	0	2	1	0	0	1	0	1	1	0	0	0	1	0	0	1	0	0	0	0	0	1	1	1	1	1	0	2	1	0	0	0	0	0	1	0	0	1	0	1	0	1	1	0	0	2	0	0	2	0	0	0	1
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1	1	0	0	1	1	0	1	2	0	1	1	0	1	0	2	0	0	0	0	1	1	0	0	0	1	0	0	1	1	0	1	1	1	0	1	1	2	0	0	0	0	1	0	1	0	1	0	1	0	0	1	0	0	0	0	0	0	1	1	0	0	0	1	0	1	0	0	0	1	1	2	0	1	0	1	0	2	1	0	0	0	0	1	1	1	2	0	1	1	0	1	0	1	0	0	0	1	0	0	1
1	1	0	0	0	0	1	0	0	2	1	1	0	0	0	0	0	0	2	1	1	1	0	1	1	1	1	0	1	0	0	2	0	1	2	0	0	1	0	0	0	1	0	1	1	0	1	1	0	0	0	1	0	0	1	1	0	0	0	1	0	0	0	2	0	1	2	0	0	1	0	1	1	1	0	0	0	0	1	0	0	1	1	0	1	1	2	1	0	0	0	0	0	0	0	0	1	1	0	0	1
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1	0	0	0	0	0	0	1	0	0	2	0	1	1	0	2	1	2	0	2	0	1	0	0	1	0	0	0	1	2	1	0	1	0	1	0	0	0	0	0	1	0	0	2	2	0	0	1	0	1	0	0	1	1	0	2	1	0	0	0	1	0	0	0	0	1	0	0	0	2	0	2	0	0	0	0	2	0	0	0	0	0	0	0	1	0	2	1	1	1	1	0	1	1	1	0	0	0	0	0	1
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0	1	0	1	0	0	1	1	0	1	1	0	0	1	0	1	0	0	1	1	1	1	0	1	1	1	0	0	0	0	0	1	0	1	1	0	0	1	1	1	2	1	0	1	1	0	1	1	0	1	0	1	0	0	2	1	0	0	1	0	2	0	0	0	0	0	1	0	0	1	1	0	0	0	0	1	1	0	1	0	0	2	0	2	0	0	1	0	1	1	0	0	0	0	0	0	0	1	0	0	1
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0	1	0	2	0	0	0	1	0	0	1	1	0	0	0	1	0	0	1	2	1	1	0	0	0	1	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	1	1	0	1	0	0	1	1	0	0	1	1	0	0	0	1	0	1	0	2	0	0	0	0	1	1	0	0	1	0	2	0	1	0	0	1	1	0	2	0	2	0	0	0	1	2	1	1	1	0	1	0	1	1	1	0	0	0	0	1
1	2	0	0	0	1	0	0	1	1	1	2	1	0	0	0	0	0	1	2	0	1	0	1	1	0	0	0	1	1	1	0	1	2	0	0	1	1	0	0	0	0	1	0	0	0	0	0	0	2	1	1	1	1	2	1	0	0	0	1	0	0	1	0	1	0	1	0	0	1	0	2	1	0	0	1	1	0	0	0	1	0	0	2	1	1	1	1	2	0	0	1	0	1	0	0	0	2	0	0	1
1	1	0	1	0	0	0	0	1	0	2	1	0	0	0	0	0	1	0	2	1	1	0	1	0	0	0	0	0	0	1	2	0	1	1	1	1	1	0	0	0	0	1	2	0	0	1	1	0	1	1	0	0	0	1	1	1	0	0	1	1	0	0	0	0	0	0	0	0	1	0	1	2	0	0	1	1	1	0	0	0	1	0	0	0	0	0	1	1	0	0	1	0	0	0	1	1	1	0	0	1
0	1	0	1	0	0	0	0	1	1	0	0	0	1	0	1	1	1	0	2	1	1	0	1	1	0	0	0	0	0	0	1	0	0	1	0	1	1	0	0	0	1	0	1	0	0	1	0	0	1	0	1	0	1	1	0	2	0	0	0	2	0	0	0	0	0	1	0	0	1	0	2	2	1	0	1	1	2	1	0	1	2	0	0	0	1	1	0	0	0	1	0	0	0	0	0	0	1	0	0	1
0	2	1	1	0	0	1	1	1	1	1	0	0	1	0	2	0	0	2	0	1	1	0	0	1	2	0	0	1	0	0	2	0	1	1	0	0	0	0	0	0	0	1	2	2	0	1	1	0	1	1	1	0	1	1	1	1	0	0	1	1	0	0	0	0	1	2	0	0	1	0	1	1	1	0	1	0	2	1	1	0	1	1	0	0	1	1	1	0	0	1	0	0	0	1	1	1	0	1	1	1
0	0	0	0	1	0	0	1	1	1	2	1	0	0	0	0	1	0	2	2	0	1	0	2	1	0	0	0	1	0	1	1	0	2	1	0	1	1	0	1	0	2	1	1	2	0	0	1	0	0	0	1	1	0	2	0	0	0	0	0	2	0	0	0	1	1	0	0	0	0	0	1	1	0	0	0	0	1	1	0	0	0	1	1	0	1	0	1	1	0	1	2	0	1	1	0	1	0	0	0	1
0	0	0	1	0	0	0	2	0	0	1	0	0	1	0	2	0	1	0	1	2	1	0	1	2	0	0	1	0	1	1	1	0	1	2	0	2	0	2	0	2	2	1	0	1	0	1	0	0	1	0	0	1	1	2	0	1	0	0	0	0	0	0	0	1	1	0	0	0	1	0	1	1	0	0	1	2	0	2	0	0	1	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	1	0	1
0	0	0	0	0	1	0	0	2	0	0	1	0	2	1	0	0	0	0	1	1	1	0	0	0	0	1	0	0	0	0	0	0	2	1	0	2	1	0	0	1	1	0	1	1	1	0	1	0	0	0	0	1	1	0	0	1	0	0	2	2	0	0	0	1	1	1	0	0	0	0	0	2	0	0	2	0	1	0	0	1	2	0	1	0	0	2	1	1	0	0	0	0	1	0	1	2	0	0	0	1
0	2	1	0	0	0	0	1	0	0	1	1	1	0	1	2	1	0	1	1	0	1	1	0	2	1	0	1	0	0	0	1	1	1	1	1	1	1	0	0	1	1	2	0	2	0	1	1	0	0	1	0	1	0	2	0	1	0	1	0	1	0	0	1	1	1	1	1	1	0	0	0	0	0	2	1	1	0	1	0	1	1	0	1	0	0	2	2	0	0	0	0	0	1	1	1	0	0	0	0	1
0	0	1	0	1	0	1	1	0	0	1	0	2	1	1	2	0	1	1	1	1	1	1	0	1	0	0	1	0	1	1	1	0	1	1	0	2	0	0	0	0	0	2	1	1	0	1	2	0	2	0	2	1	1	1	2	1	0	0	1	0	0	1	1	0	1	2	0	0	2	0	0	1	0	0	0	1	2	0	2	0	1	1	1	0	1	2	2	1	0	0	0	0	1	2	0	0	0	0	0	1
0	0	0	1	0	0	1	1	0	1	1	1	2	2	1	1	1	1	0	1	0	1	1	0	1	0	0	1	0	1	0	1	0	0	0	1	0	2	0	0	1	1	0	0	0	0	1	0	0	0	1	1	0	0	1	1	1	0	0	0	0	0	0	1	1	1	1	0	1	1	1	1	1	0	1	1	0	2	1	1	0	1	0	1	0	1	1	0	2	0	0	1	0	1	1	1	0	0	0	0	1
0	0	1	0	0	0	0	0	1	0	1	1	2	1	1	1	1	2	0	0	2	1	0	2	0	0	0	1	0	0	0	0	0	0	1	1	2	0	0	0	1	1	1	0	2	0	0	0	1	2	0	0	1	0	1	0	0	0	0	0	2	0	1	1	1	0	1	0	0	0	1	1	0	1	0	2	0	1	0	1	0	1	1	1	0	2	1	1	0	0	0	0	0	0	1	0	1	2	2	1	1
0	2	0	1	0	0	0	0	1	0	0	1	0	0	0	0	1	2	0	2	0	0	0	0	1	1	0	0	1	0	0	0	0	0	0	0	0	2	0	1	1	0	0	0	1	0	0	2	0	1	1	2	2	1	0	0	0	0	1	1	0	0	0	0	1	1	0	0	0	1	0	1	1	0	0	1	0	1	1	1	0	1	2	2	0	1	2	1	2	0	0	0	0	0	1	0	1	0	0	0	1
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1	1	0	1	0	0	0	0	1	1	1	1	0	0	0	2	0	0	1	0	0	1	0	1	0	0	0	0	0	2	0	0	1	1	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	2	0	0	1	1	0	0	1	0	0	0	1	0	0	1	0	0	1	0	0	1	1	0	0	0	0	0	1	1	2	0	0	2	0	1	0	0	0	0	0	0	0	0	0	1	0	0	0	1	0	0	1
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1	0	1	0	1	0	1	1	1	0	0	1	1	1	2	0	0	1	1	0	1	1	0	0	1	1	1	1	0	1	0	0	0	0	1	0	1	0	2	0	2	0	2	2	2	0	0	0	0	0	0	1	0	1	1	1	1	0	0	2	2	0	0	0	0	0	1	0	0	1	0	0	0	1	0	1	1	0	1	0	0	0	0	1	0	1	0	1	0	1	1	0	0	0	1	2	1	1	1	0	1
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0	1	0	1	0	0	0	0	1	1	2	2	0	0	0	2	0	2	0	0	1	1	0	0	0	1	0	0	0	2	1	0	0	1	2	0	0	0	1	0	0	1	0	0	1	0	0	1	0	0	0	0	1	0	1	2	0	0	0	0	2	0	0	0	1	0	1	0	0	1	0	1	0	0	0	2	1	2	0	1	0	1	0	0	0	1	1	0	0	0	2	0	0	0	1	1	0	2	0	0	1
1	1	0	1	1	0	0	0	0	1	1	0	1	0	0	1	0	2	1	0	1	2	0	0	0	2	0	1	1	1	1	1	0	0	1	0	2	2	0	0	1	0	0	1	1	1	1	1	0	1	0	1	0	0	1	0	0	0	0	1	0	0	0	0	0	0	1	0	0	1	0	1	0	1	1	0	1	1	0	1	0	2	0	1	0	1	0	0	1	0	0	0	0	2	0	1	1	0	0	0	1
1	0	0	1	0	0	1	1	2	0	0	1	1	0	1	2	1	0	0	0	1	0	0	1	0	0	1	1	1	0	1	0	0	0	1	1	0	1	0	0	0	1	0	0	2	1	0	0	2	1	1	0	1	1	1	1	1	0	0	0	1	0	2	0	0	1	1	0	0	1	1	0	1	0	1	1	0	2	0	0	0	1	0	0	1	1	1	2	0	0	0	0	0	0	0	0	0	1	0	0	1
1	1	0	0	1	0	0	1	1	1	0	1	0	1	0	2	1	1	0	0	0	0	0	2	0	0	0	0	1	1	0	0	0	0	0	0	0	1	1	0	1	1	1	0	1	0	1	0	0	0	1	1	0	0	0	0	2	0	0	1	1	0	0	0	0	1	0	2	0	0	0	1	1	0	0	1	1	0	0	0	0	0	0	2	0	0	2	0	1	0	1	0	0	1	0	2	1	0	0	0	1
0	1	0	0	0	0	0	1	0	1	1	1	1	1	0	1	1	0	0	1	0	1	1	1	1	1	0	0	1	1	1	0	1	0	1	0	1	2	1	0	2	2	0	1	0	1	0	0	0	0	1	0	1	0	2	1	2	0	0	0	0	0	0	2	0	2	0	0	0	1	0	1	0	0	1	1	1	2	0	0	0	0	0	1	0	1	1	1	1	0	0	2	0	1	0	1	1	0	0	0	1
1	1	0	1	0	1	1	0	0	1	2	0	1	1	1	1	0	0	0	0	1	0	0	0	0	2	0	1	0	0	0	0	0	0	1	0	1	0	0	0	0	2	2	1	2	0	0	0	0	1	0	0	1	0	1	0	1	1	0	0	1	0	1	0	0	1	1	0	0	1	2	0	0	0	1	1	0	1	0	1	0	1	0	1	0	0	1	1	2	0	0	2	0	2	0	0	1	0	0	0	1
0	2	0	0	0	0	0	0	1	1	2	1	2	0	0	0	0	1	0	1	1	0	0	0	0	1	0	0	1	0	0	1	0	1	2	0	1	1	0	0	0	0	0	0	0	0	0	1	0	1	0	0	1	0	1	0	0	0	0	0	2	0	0	2	0	0	1	0	0	0	1	0	0	0	1	0	1	1	0	1	0	0	0	1	1	1	1	1	2	0	0	0	0	1	0	1	2	2	0	1	1
0	1	0	0	0	0	0	0	0	1	0	1	1	1	0	0	0	0	1	0	0	2	1	0	2	0	0	0	1	0	2	1	0	1	1	0	0	0	1	0	1	1	2	1	1	0	0	1	0	1	0	2	1	0	1	1	0	0	0	1	0	0	0	0	0	2	0	0	0	0	1	2	1	0	0	1	2	1	1	0	0	0	0	1	0	1	2	1	0	0	0	0	0	0	1	0	0	0	0	0	1
1	1	1	1	0	0	0	0	0	1	0	1	2	1	1	2	0	1	0	1	0	1	0	1	0	1	2	0	0	0	1	0	0	0	2	0	0	1	0	1	0	1	0	1	1	0	1	0	1	0	1	1	1	0	2	1	2	0	0	1	1	0	0	1	0	2	0	0	0	1	0	1	0	0	0	1	2	1	0	0	0	1	0	0	0	2	2	1	1	0	0	0	0	0	0	0	1	0	0	1	1
0	1	0	1	0	1	1	0	0	0	1	0	1	1	1	0	0	1	1	0	2	0	0	1	0	1	0	0	1	1	1	1	0	1	2	0	1	0	0	0	1	0	1	0	1	1	1	0	0	1	0	0	1	0	1	2	1	0	0	0	1	0	0	0	1	1	1	0	0	1	1	2	1	0	1	1	2	1	1	1	0	1	1	0	0	1	2	0	0	1	1	0	0	0	1	0	1	1	0	0	1
0	1	0	1	0	1	0	1	1	1	0	1	0	1	0	1	0	0	1	0	1	2	0	0	0	0	0	0	0	0	0	1	0	2	1	1	2	1	0	0	2	2	0	1	0	0	1	0	1	1	0	0	2	2	0	1	0	0	0	1	2	0	0	1	1	2	1	0	0	0	0	2	0	0	0	1	0	1	2	0	0	1	0	1	0	0	1	1	0	0	1	1	0	1	1	0	0	1	1	0	1
1	1	0	0	0	0	0	0	1	1	2	1	0	2	0	0	0	0	0	1	1	2	0	0	1	0	0	0	1	0	1	0	0	1	0	0	0	0	0	0	2	0	0	1	1	1	0	1	0	0	0	0	1	0	2	2	1	0	0	1	0	0	0	0	0	1	2	0	0	0	1	1	0	0	0	1	0	1	1	1	0	0	0	0	0	1	1	0	0	0	0	1	0	0	1	0	1	1	0	0	1
0	0	0	1	0	0	0	0	1	1	0	0	1	0	0	0	0	1	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	1	2	1	1	2	0	0	1	1	1	2	1	0	0	0	0	0	1	0	0	2	1	0	1	0	1	0	1	0	0	0	1	2	2	1	0	1	0	1	1	1	0	2	0	0	1	2	0	0	1	1	0	1	2	0	0	0	1	1	0	2	2	0	0	0	0	0	1
1	1	0	1	0	1	0	0	1	0	1	0	0	1	0	2	0	0	0	1	1	1	0	1	1	0	0	0	0	1	0	0	1	0	1	1	1	0	1	0	1	1	0	0	0	0	0	0	0	1	0	0	0	0	1	1	1	0	0	0	1	0	0	0	0	0	2	0	0	0	2	1	1	0	0	0	0	1	0	1	0	1	0	0	0	1	1	1	2	2	1	0	0	0	0	0	2	0	0	0	1
1	0	0	1	0	0	0	0	0	0	2	1	0	1	0	0	0	1	1	0	1	1	0	0	2	1	0	0	0	0	0	1	0	1	1	0	0	0	0	0	1	2	0	1	1	0	0	0	0	0	0	0	1	0	0	1	1	0	0	1	1	0	0	0	1	1	0	0	0	1	1	0	2	0	1	2	1	1	0	1	0	0	0	0	0	1	1	1	1	1	1	0	0	1	1	1	1	0	0	0	1
0	0	0	1	0	0	0	2	1	0	1	2	0	1	0	1	0	1	1	0	2	1	0	1	0	2	0	0	0	2	1	1	1	0	2	0	1	1	0	0	1	0	0	1	0	1	0	1	1	0	1	1	1	0	1	1	0	0	0	0	1	0	0	2	0	1	1	1	0	0	1	2	0	0	0	2	1	0	1	0	0	0	0	0	0	0	1	1	1	0	0	0	0	1	0	1	2	1	0	0	1
0	0	0	1	0	0	0	0	0	0	1	0	0	1	0	1	0	0	0	2	0	1	0	1	0	0	0	0	0	1	0	0	0	0	1	0	0	2	0	0	0	1	0	0	1	0	0	1	1	1	0	1	1	0	1	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	1	0	1	1	0	0	1	0	1	1	0	1	1	0	1	0	2	2	1	2	0	0	0	1
0	0	0	1	1	2	0	0	0	0	2	1	1	0	1	0	0	1	1	2	0	1	0	2	0	0	1	1	0	2	1	0	0	0	1	0	0	1	0	0	2	1	1	1	1	0	1	2	0	0	0	0	0	0	0	2	1	0	0	0	0	0	0	0	0	1	1	0	0	0	1	1	0	0	0	0	2	1	0	0	0	1	0	0	0	2	1	0	0	0	0	1	0	0	1	1	0	0	0	0	1
0	1	0	0	1	0	0	0	1	0	1	1	1	1	1	1	1	0	0	0	1	1	0	1	1	1	0	0	1	0	1	0	1	1	1	1	2	0	0	0	0	1	1	0	1	0	1	0	0	1	0	1	1	1	2	1	1	1	0	0	1	0	0	1	0	2	1	1	0	1	1	2	0	1	0	0	0	2	2	1	0	1	0	2	0	1	1	1	1	0	0	0	0	1	0	1	1	1	0	0	1
0	0	0	1	1	0	1	0	1	1	2	2	0	2	0	0	1	0	1	1	1	2	0	1	1	0	0	0	0	0	0	2	0	0	2	1	1	0	0	0	0	2	0	2	2	0	1	0	0	0	0	1	1	0	0	1	1	1	1	0	1	0	0	0	1	1	1	0	0	1	0	0	1	1	0	2	1	1	0	1	0	0	0	1	0	2	2	1	0	0	1	0	0	0	2	0	0	0	0	0	1
1	0	0	1	1	0	1	1	1	0	1	1	0	0	0	2	0	1	0	1	1	2	1	0	1	1	0	0	1	0	1	0	0	1	1	0	1	1	0	0	0	2	1	1	0	0	0	1	0	0	0	2	2	2	1	1	1	0	0	1	0	0	0	0	1	0	2	0	0	1	0	1	1	0	1	0	0	1	1	1	0	2	0	0	0	0	1	1	1	0	0	1	0	0	1	0	0	0	0	0	1
0	0	0	1	0	2	1	0	1	0	1	0	0	1	1	0	0	1	0	1	1	1	0	2	0	0	0	0	2	1	1	1	0	1	2	0	1	1	1	0	1	2	1	1	0	0	0	1	1	0	1	1	1	0	1	1	0	0	1	1	0	0	0	0	0	0	1	0	0	0	0	2	2	0	0	1	0	1	1	0	0	0	0	1	0	1	0	1	0	1	0	1	0	1	1	0	1	1	0	0	1
1	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	2	1	1	1	1	1	1	1	0	0	1	1	0	0	1	0	2	0	1	1	1	1	2	1	2	1	0	0	0	0	1	0	0	0	0	0	1	0	0	1	1	1	1	1	0	1	1	0	0	1	0	1	1	0	0	2	0	1	0	0	0	0	0	0	1	1	1	1	1	0	1
1	1	0	2	0	0	1	0	2	0	0	2	0	1	0	2	1	0	0	0	1	0	0	0	1	0	1	0	0	0	1	1	1	1	1	0	0	1	0	0	0	1	1	1	2	0	0	0	0	0	1	1	1	0	2	0	1	0	0	1	1	0	0	1	0	2	1	0	0	0	1	0	2	0	0	0	1	1	0	2	0	1	0	0	0	0	0	0	1	0	0	0	0	0	1	0	2	0	0	0	1
0	1	0	1	1	0	0	1	0	1	0	1	0	2	0	2	1	0	0	0	1	0	0	1	1	0	1	0	1	0	0	1	0	1	0	0	1	0	1	0	1	0	0	2	2	0	0	1	0	1	1	1	1	1	1	0	1	0	1	0	2	0	1	2	0	1	0	0	0	0	2	1	0	0	0	2	2	0	1	1	1	0	0	2	0	1	1	1	0	0	1	0	0	0	0	1	0	1	0	0	1
0	1	1	0	0	0	0	0	1	0	0	0	1	1	0	2	0	1	0	2	0	1	0	0	1	0	0	0	0	1	0	0	1	2	2	0	1	2	0	0	1	0	2	1	1	1	1	0	0	1	1	0	0	0	0	0	2	0	0	1	1	0	0	0	0	1	0	1	0	1	1	1	1	0	0	0	1	0	0	2	0	0	0	1	0	1	1	2	0	0	0	0	0	2	1	0	1	0	1	0	1
1	2	1	1	0	1	0	0	0	1	0	0	1	1	0	0	0	0	1	1	0	2	0	0	0	0	1	0	0	1	1	1	0	1	1	0	2	0	1	0	0	0	1	1	1	0	1	0	0	0	1	1	2	0	1	0	1	0	1	2	1	0	0	1	0	0	1	0	0	0	0	1	1	1	0	1	1	0	1	1	0	1	1	1	0	1	1	1	1	0	0	0	0	1	0	0	1	1	0	0	1
1	2	0	1	0	0	1	0	1	0	2	1	0	1	0	1	0	1	1	1	1	0	0	1	0	0	0	0	1	0	0	1	0	0	2	0	1	1	0	0	0	0	0	1	1	0	0	2	0	0	1	0	2	0	1	1	0	0	0	1	1	0	0	0	1	1	2	1	0	1	0	1	0	0	1	1	0	2	0	0	0	2	0	0	0	0	1	0	1	1	1	0	0	1	0	0	0	0	0	0	1
1	0	0	0	0	0	0	1	0	0	0	1	2	1	0	1	0	1	0	0	0	1	0	1	1	0	0	1	2	1	0	0	0	2	1	0	2	0	0	0	0	0	2	1	1	0	0	1	0	1	0	0	1	0	1	0	1	0	0	0	1	0	2	1	0	1	1	0	0	0	0	1	0	0	1	1	1	0	0	2	0	1	0	0	0	2	0	0	0	0	0	0	0	1	1	1	1	0	1	0	1
0	0	0	1	2	1	0	0	1	1	0	0	1	1	0	2	0	1	0	1	1	2	0	0	0	0	0	0	0	0	1	0	1	1	2	0	1	0	0	0	0	1	0	2	1	0	2	1	0	0	0	0	1	0	1	1	2	0	0	1	0	0	0	0	0	1	0	0	0	1	1	1	0	0	0	0	1	2	0	2	0	1	0	1	0	1	1	1	1	1	0	0	0	1	1	0	0	1	0	0	1
0	1	0	0	0	0	0	0	0	1	1	0	1	0	0	0	0	1	0	1	2	1	0	1	1	1	0	0	0	0	1	0	1	1	2	1	1	2	0	0	0	1	0	2	1	0	0	0	1	0	0	0	1	0	2	0	0	0	0	1	1	0	0	0	1	2	0	0	0	0	0	0	0	1	0	0	0	0	1	0	1	0	0	1	0	0	1	1	0	1	0	1	0	1	1	0	0	0	0	0	1
0	0	0	1	0	0	0	2	0	0	0	1	0	0	0	1	0	1	0	1	0	1	0	0	0	0	0	1	0	0	1	0	1	1	1	0	2	0	0	0	1	0	0	2	2	0	0	0	0	0	1	0	1	0	0	2	1	1	0	0	1	0	0	1	0	1	1	0	0	1	0	1	0	0	0	1	2	0	1	0	0	0	1	0	0	2	1	1	1	0	0	0	0	1	0	0	1	0	0	0	1
0	0	1	1	0	0	0	0	1	0	2	0	1	1	0	1	0	1	0	0	1	0	0	0	0	0	0	1	0	0	0	0	0	1	1	0	1	1	0	0	0	1	1	2	1	1	1	0	0	1	0	0	2	0	0	1	1	0	0	1	0	0	1	0	1	1	2	0	0	1	0	2	2	1	0	0	1	1	1	0	0	0	1	0	0	0	1	1	0	1	0	0	0	0	1	2	2	0	0	0	1
0	1	0	0	1	0	1	0	0	2	2	1	1	2	0	1	0	2	1	2	2	1	0	0	0	0	1	0	1	0	2	1	0	2	0	0	1	1	0	0	2	1	2	2	0	0	0	0	0	0	0	1	0	0	0	1	0	0	1	0	0	0	0	1	0	0	0	0	0	2	0	2	0	1	0	0	1	0	1	1	0	0	0	1	0	0	0	1	0	1	0	0	0	1	1	0	2	2	1	0	1
1	1	0	2	0	0	0	0	0	0	1	1	2	1	0	1	1	1	0	0	1	2	0	1	2	0	0	0	1	1	1	0	1	2	0	1	1	0	0	0	0	2	1	1	1	1	0	0	0	1	0	0	0	1	2	2	2	2	0	1	0	0	0	0	0	2	0	0	0	0	1	1	0	0	0	0	1	2	0	1	0	0	0	1	0	2	2	0	0	0	0	0	0	1	0	0	0	1	0	0	1
0	2	0	2	0	1	1	0	0	0	1	1	1	0	0	1	0	1	0	1	2	2	0	1	0	1	1	0	1	0	1	1	1	1	1	1	1	1	0	0	0	0	0	2	1	0	1	1	0	1	0	0	0	1	0	1	1	0	0	0	1	0	0	0	1	1	1	0	0	0	1	1	1	0	0	1	0	0	0	1	0	1	0	0	1	2	2	0	0	1	0	1	0	1	0	0	0	0	1	0	1
1	1	1	1	0	0	1	0	1	1	1	1	0	1	1	1	0	0	1	0	0	2	0	1	2	0	0	0	0	0	1	0	0	1	1	1	1	0	0	0	0	2	0	0	0	0	2	0	1	0	1	0	0	1	1	0	2	1	0	0	1	0	1	1	1	1	1	0	0	0	0	1	2	0	1	0	2	2	0	0	0	0	0	2	1	1	1	1	0	0	1	0	0	0	2	0	0	0	0	0	1
0	1	0	1	0	1	1	0	1	0	0	1	0	1	0	1	0	0	1	0	2	1	1	2	0	2	1	0	2	0	0	0	0	0	1	1	1	0	2	1	0	1	0	1	1	0	0	1	0	0	0	1	2	0	1	1	1	0	0	0	1	0	0	0	2	0	1	0	0	0	0	1	0	0	1	2	0	1	1	0	1	0	0	0	0	0	0	1	0	0	0	1	0	1	0	0	1	0	0	0	1
0	2	0	1	0	0	1	0	1	0	1	0	0	0	1	2	0	1	0	2	2	1	0	0	0	0	0	0	0	0	0	2	0	1	1	0	1	0	0	0	0	1	1	0	2	0	0	0	0	0	0	0	1	1	1	2	2	0	0	0	1	0	0	0	1	0	0	1	0	0	2	1	0	0	0	1	2	0	0	1	0	0	1	2	0	1	1	1	1	1	0	0	0	0	2	1	2	2	0	0	1
1	1	1	1	0	1	0	1	1	1	1	1	1	1	0	1	0	1	0	0	1	1	0	1	1	1	0	1	1	1	0	2	1	1	0	0	1	0	0	0	0	2	0	2	2	1	2	2	0	0	0	0	2	1	2	0	1	0	0	0	1	0	0	1	1	1	1	1	0	0	0	1	1	1	0	2	1	1	0	0	1	0	0	1	0	0	1	0	0	0	0	0	0	0	1	0	1	1	0	0	1
1	1	0	1	0	0	1	1	2	1	1	0	1	0	0	1	1	1	0	0	1	1	1	1	1	1	1	0	0	1	2	0	1	1	1	0	0	2	0	0	1	0	0	1	2	0	1	0	1	0	0	0	1	0	2	0	2	0	0	1	0	0	0	1	0	1	1	0	0	0	0	2	0	0	0	2	0	0	1	1	0	1	2	1	0	2	0	1	0	0	0	0	0	0	1	0	1	1	0	0	1
0	0	0	0	0	1	2	1	0	0	1	2	1	2	1	2	2	2	0	1	2	1	0	0	0	0	0	1	1	0	1	2	0	2	1	0	0	0	0	0	0	0	2	1	1	0	0	1	0	1	0	1	0	1	1	1	1	0	1	1	1	0	0	0	1	0	1	0	0	1	0	2	1	0	1	1	0	0	1	1	0	0	0	1	0	1	1	1	0	0	0	1	0	1	1	0	1	1	0	0	1
1	0	0	1	0	0	1	0	0	0	1	1	0	0	0	2	0	1	0	1	1	2	0	0	1	1	0	0	0	0	0	0	1	0	1	0	1	1	0	0	1	2	0	2	0	0	0	2	0	1	0	1	1	0	1	0	2	0	0	1	0	0	1	0	0	0	0	0	0	0	0	1	0	0	1	1	0	2	1	0	1	1	1	0	0	1	1	0	1	0	0	1	1	0	1	0	1	2	0	0	1
1	0	0	0	0	0	0	1	1	0	0	1	0	0	1	1	0	2	1	0	1	1	0	1	0	0	1	1	0	1	0	1	0	1	0	0	1	1	0	0	1	0	2	0	2	0	0	0	0	2	1	1	0	1	0	1	2	1	0	0	2	0	0	0	1	1	1	1	0	1	0	1	1	0	0	0	1	2	1	1	0	2	1	1	0	1	1	1	1	1	0	1	0	0	2	1	1	0	0	0	1
0	0	0	0	1	0	2	0	1	0	0	0	1	2	0	1	1	1	1	0	1	1	0	1	1	1	0	0	0	0	0	0	1	1	1	0	1	2	1	0	0	1	1	1	1	0	0	0	1	1	1	1	0	0	1	1	0	1	0	1	0	0	0	1	0	1	2	0	0	0	2	1	1	0	0	1	0	0	1	1	0	1	0	1	1	2	1	1	0	0	0	0	0	2	1	1	2	0	0	1	1
0	1	0	0	0	0	1	0	1	0	0	1	0	1	0	1	0	0	2	1	2	1	0	0	0	0	0	0	1	1	1	1	0	1	1	0	1	2	0	0	0	0	1	2	2	0	1	0	0	1	0	0	0	0	1	1	2	0	0	0	2	0	0	0	0	0	0	0	0	1	0	0	0	1	0	1	2	0	0	0	0	1	1	1	0	2	0	1	1	0	1	0	0	1	0	1	1	0	0	0	1
1	0	0	0	1	0	1	1	0	0	1	0	1	1	0	1	0	1	1	0	0	1	0	0	0	1	0	0	1	2	2	1	0	1	2	0	0	2	0	0	0	1	1	0	1	0	0	2	0	1	0	0	1	0	0	0	2	0	0	1	0	0	0	0	0	1	0	0	0	0	0	2	0	0	1	2	1	1	0	0	0	1	0	1	0	1	1	1	0	0	0	1	0	1	1	1	1	2	0	0	1
1	2	1	1	0	1	0	0	1	0	0	0	1	1	0	2	1	0	0	0	2	2	1	0	1	0	0	0	0	0	0	0	0	1	1	0	0	1	0	0	1	1	0	1	0	0	0	0	1	0	0	1	1	0	2	0	2	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	1	1	0	0	0	2	0	1	0	1	1	1	0	0	1	0	0	1	1	0	1	0	0	0	1
0	0	0	0	0	0	0	0	2	0	1	0	1	0	0	1	0	1	0	0	0	1	1	1	2	0	0	1	0	1	1	0	1	1	1	0	1	2	0	0	1	2	2	1	2	0	0	1	0	1	0	1	0	0	2	0	1	0	1	0	0	0	1	0	1	2	1	0	0	0	0	0	1	2	0	0	1	1	0	0	0	1	1	0	0	1	1	0	1	0	0	1	0	1	1	2	2	1	0	0	1
1	0	0	0	0	0	1	1	1	0	1	1	1	0	0	1	0	0	2	1	2	0	1	0	1	0	0	0	0	2	0	0	0	1	1	1	2	1	0	0	0	2	1	2	1	0	0	0	0	2	1	0	0	1	1	1	0	0	0	0	1	0	0	1	0	1	0	0	0	0	0	2	2	0	0	0	2	2	0	0	0	1	0	1	0	1	0	1	0	2	0	2	0	0	0	0	2	0	0	0	1
1	0	0	0	0	1	0	0	1	0	0	1	0	0	1	2	0	0	1	1	2	2	0	1	1	0	0	0	1	1	1	0	0	2	1	0	2	1	0	0	1	0	1	1	1	1	0	0	1	1	0	0	0	0	2	1	1	1	0	0	1	0	0	0	0	1	1	0	0	1	0	0	1	1	1	1	1	1	2	0	0	1	0	1	0	2	1	0	0	1	0	0	0	2	0	0	2	0	0	0	1
0	2	0	0	0	1	1	1	1	0	1	0	1	0	0	1	0	1	1	1	0	1	0	1	2	1	0	0	1	1	0	1	0	0	1	0	2	2	2	0	0	0	1	0	1	0	1	1	0	1	1	1	0	0	1	0	1	0	1	1	1	0	1	0	2	1	1	0	0	2	1	0	0	0	1	2	1	1	0	0	0	1	1	1	0	2	2	0	0	1	0	0	0	0	0	0	2	0	1	1	1
0	1	0	0	0	0	0	1	1	0	1	0	1	2	1	1	0	0	0	1	1	2	0	0	0	1	0	0	1	0	0	2	0	0	2	0	1	0	1	0	0	1	0	2	1	1	1	1	0	1	0	0	2	1	2	0	2	0	1	1	1	0	0	0	0	1	0	0	0	1	1	0	1	1	1	1	1	0	1	1	0	0	0	1	0	0	1	1	1	0	0	0	0	0	1	1	0	1	0	0	1
0	0	0	0	0	0	0	0	0	0	1	1	0	1	0	1	0	0	0	0	1	0	1	0	0	1	1	1	0	0	1	0	0	0	1	1	0	0	0	0	0	2	1	1	2	1	1	0	1	1	0	0	1	0	0	0	1	0	1	1	1	0	0	0	0	0	1	0	0	0	0	1	0	1	1	1	1	0	0	0	1	0	1	2	1	2	0	1	1	0	0	1	0	1	1	1	2	1	0	0	1
1	1	0	1	0	0	1	0	1	0	0	1	0	1	1	2	0	0	0	1	0	0	0	1	1	0	0	0	1	0	1	1	0	1	1	0	1	0	1	1	0	1	1	2	2	0	1	0	1	0	0	1	0	1	2	2	2	0	0	0	1	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	2	0	0	1	1	0	2	0	2	1	0	0	1	1	0	0	1	2	1	2	0	0	0	1
0	1	0	1	0	0	0	1	1	1	0	2	1	1	1	1	0	1	0	1	1	0	0	0	0	0	0	0	2	1	0	2	1	1	0	1	2	1	1	0	0	1	1	0	1	0	0	0	0	0	1	0	1	1	2	1	0	0	1	0	0	0	0	0	0	0	1	1	0	0	0	1	2	0	2	0	1	1	1	0	0	1	1	1	0	1	1	0	0	0	0	0	0	0	1	0	1	1	0	0	1
0	0	1	0	0	0	2	0	1	0	1	2	0	0	1	1	0	0	1	0	1	1	2	0	1	1	0	0	1	0	1	0	0	1	0	0	2	0	0	0	1	0	0	1	0	0	0	1	0	1	0	1	1	1	0	0	1	0	1	0	0	0	1	0	0	1	2	0	0	0	0	1	1	1	1	1	1	0	2	0	0	0	1	2	0	0	1	1	2	0	0	1	0	1	0	1	1	0	0	0	1
0	1	0	1	0	0	0	0	0	0	1	0	1	1	0	0	0	1	1	1	0	0	0	0	2	1	0	0	2	0	1	1	1	0	1	1	1	0	0	0	0	0	0	0	0	1	0	0	1	0	1	0	1	1	0	2	0	0	0	0	1	0	1	0	0	1	2	0	0	0	0	0	1	0	0	0	1	0	1	1	0	2	1	1	0	2	1	1	0	1	0	1	0	1	0	0	1	2	0	0	1
0	1	0	1	0	0	1	0	1	1	1	1	1	0	0	1	1	1	0	1	1	2	0	1	0	1	0	0	1	1	1	0	1	2	0	0	1	1	0	0	0	1	1	0	1	0	0	1	1	0	0	0	2	0	1	0	0	0	1	0	2	0	0	0	2	0	0	0	0	0	1	0	0	0	0	2	1	0	0	1	1	2	1	0	0	0	1	0	2	1	0	0	0	1	0	0	1	0	0	0	1
0	0	0	2	1	1	2	0	1	0	1	1	0	1	0	1	2	1	0	0	1	1	0	0	1	0	0	0	1	1	0	0	0	1	1	0	1	0	0	1	0	1	2	2	2	0	0	1	0	2	2	1	1	1	2	2	0	1	1	0	1	0	0	0	0	1	2	0	0	1	0	1	0	0	0	1	2	2	0	0	1	1	1	1	1	0	0	0	0	0	0	0	0	1	1	0	0	1	0	1	1
0	1	0	1	0	0	0	1	1	2	1	2	2	1	1	2	0	1	1	1	1	1	0	2	1	1	0	0	0	2	0	0	1	0	0	0	2	0	0	0	1	2	0	0	2	0	0	1	1	1	0	1	2	0	1	0	1	0	0	0	0	0	0	0	0	2	1	0	0	0	0	1	0	1	0	2	0	1	1	0	0	1	1	2	0	0	0	0	0	0	0	1	0	0	0	0	1	0	0	0	1
0	0	0	0	0	0	1	0	0	2	1	1	1	1	1	1	1	1	1	0	1	2	0	0	1	0	0	0	0	1	0	0	0	1	2	0	1	2	0	0	1	2	1	1	0	1	1	0	0	1	1	0	0	1	1	2	0	0	0	1	1	0	0	0	0	1	0	1	1	2	0	2	0	1	1	1	1	0	0	0	0	1	0	2	0	1	1	2	2	0	0	0	0	2	1	0	1	0	0	0	1
0	0	0	0	1	0	1	0	0	1	1	0	0	0	0	0	0	0	1	0	1	0	0	0	0	0	0	0	0	0	1	1	0	0	1	1	0	1	1	0	0	1	0	0	0	1	2	0	0	1	0	0	1	0	1	0	1	0	0	1	1	0	0	0	0	0	2	0	0	0	0	2	0	1	0	1	0	2	0	1	0	0	1	0	1	0	1	0	0	0	0	1	0	0	1	0	1	1	0	1	1
0	2	0	0	0	0	0	0	1	1	0	1	1	0	1	2	0	1	1	1	0	0	0	1	0	0	1	0	0	0	0	0	1	0	0	0	1	2	0	0	1	0	2	0	0	0	1	1	0	2	0	1	0	1	1	1	2	1	1	0	1	0	1	0	0	2	2	0	0	0	1	1	1	0	1	1	1	1	0	0	1	1	2	2	0	1	2	0	1	0	1	1	0	0	0	1	0	0	0	0	1
0	0	1	1	0	0	1	1	0	1	0	0	0	1	1	2	0	2	0	1	0	1	0	1	1	0	0	0	0	0	0	1	1	1	1	0	2	1	1	1	0	1	0	2	0	0	0	0	0	1	0	1	0	1	2	1	2	0	0	1	0	0	1	1	0	1	0	0	0	1	0	1	1	0	0	1	0	0	0	1	0	2	1	1	0	1	1	0	0	0	0	0	0	0	1	0	2	1	0	0	1
1	0	0	1	0	1	0	1	1	0	1	0	0	0	0	1	0	1	2	1	1	2	1	0	1	1	0	0	1	0	0	0	0	1	0	0	1	0	0	0	0	0	2	0	1	0	0	1	0	1	0	0	1	0	1	1	2	0	0	0	0	0	1	0	0	0	1	0	0	1	0	0	1	0	0	1	0	2	0	1	0	1	0	1	0	0	1	0	0	0	0	0	0	1	1	0	1	0	1	0	1
0	1	0	2	1	0	0	1	0	1	0	0	1	0	1	0	0	1	1	0	2	0	0	0	0	0	0	0	0	0	1	1	0	1	2	1	1	0	0	0	0	1	0	1	0	0	1	0	0	0	0	1	0	1	1	1	2	0	0	0	2	0	0	0	0	1	0	0	0	0	0	0	0	1	0	1	0	2	2	1	0	0	0	1	0	1	2	0	2	0	0	1	0	1	0	1	1	0	1	0	1
1	2	0	0	1	0	1	0	1	0	2	1	0	1	2	2	1	1	0	0	1	2	0	0	0	0	0	0	1	0	0	2	0	1	0	1	1	1	1	1	0	1	1	1	1	0	0	1	0	1	0	0	1	0	0	0	0	0	1	1	2	0	0	1	0	1	0	0	0	1	2	0	1	0	1	0	0	1	0	0	0	0	0	1	0	0	1	0	1	0	0	0	0	0	0	0	1	1	0	0	1
1	0	0	1	0	0	0	0	1	0	0	0	2	1	0	0	0	2	1	1	0	2	0	0	1	1	1	0	1	1	2	1	0	1	1	0	0	1	0	0	0	0	0	1	1	0	0	0	1	0	0	0	0	0	1	1	2	0	0	1	0	0	0	1	0	1	1	0	0	0	0	2	1	0	0	1	0	1	0	1	0	0	2	2	0	1	1	2	0	0	1	0	0	1	0	0	0	2	0	0	1
0	0	0	0	0	1	0	0	0	0	0	1	1	0	0	1	0	1	0	0	1	0	0	0	0	0	0	0	0	1	0	0	1	0	1	0	1	0	0	0	1	0	0	1	1	0	0	1	0	1	0	1	1	1	1	0	1	0	1	0	0	0	0	0	0	2	1	0	0	0	1	0	1	1	1	2	1	0	1	1	0	1	0	0	0	1	0	0	1	1	0	0	0	0	0	0	0	1	0	0	1
1	1	0	1	0	0	0	0	0	0	1	1	0	0	1	1	1	1	0	2	0	1	1	2	1	1	0	0	1	1	0	0	0	1	0	0	0	1	0	0	1	1	1	2	1	0	0	0	1	1	0	0	1	1	2	0	0	0	0	0	2	0	0	0	0	0	1	1	1	1	0	0	0	1	0	0	1	1	2	0	0	1	1	1	0	1	1	0	1	0	0	0	0	1	0	1	1	1	0	0	1
1	2	0	1	0	0	0	0	1	1	0	1	1	0	0	1	0	2	0	1	0	1	1	1	0	0	1	1	1	1	0	0	0	2	1	0	0	0	1	0	0	0	1	2	2	0	0	0	0	0	0	0	0	1	1	1	1	0	1	0	1	0	0	1	0	0	1	1	0	0	0	0	0	1	0	1	0	1	0	0	0	0	0	1	0	2	2	0	1	0	0	1	0	1	0	1	1	1	1	0	1
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0	1	0	1	1	0	1	2	1	1	1	0	0	0	2	1	0	2	2	1	1	1	0	0	1	1	0	0	0	0	0	2	1	1	1	1	0	2	0	0	1	1	0	1	0	1	0	0	0	1	1	1	0	1	1	1	2	0	0	2	0	0	0	1	0	2	1	0	0	0	1	0	1	0	0	0	1	1	0	0	0	0	0	0	0	1	1	0	1	0	0	0	0	0	0	0	2	1	0	0	1
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0	2	0	1	0	2	0	0	1	1	1	2	0	2	0	1	0	1	1	0	0	2	0	1	0	1	0	0	1	1	0	0	0	2	1	0	1	0	0	0	1	1	0	0	2	1	1	0	2	1	1	2	0	1	1	0	0	0	0	1	2	0	1	0	0	0	1	0	0	1	2	1	2	0	0	1	1	2	0	1	0	0	0	2	1	1	1	1	1	1	0	0	0	1	2	1	1	1	0	0	1
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0	0	0	2	0	0	0	1	0	0	2	0	0	0	0	1	0	0	1	1	1	0	0	1	0	0	0	0	0	0	0	1	1	0	1	2	1	0	0	0	0	0	1	2	1	1	2	2	0	1	0	0	0	1	2	0	0	1	1	0	0	0	0	1	0	0	1	1	0	0	0	2	0	1	0	0	1	1	1	1	0	1	0	1	0	1	1	1	0	1	0	0	0	1	0	0	0	0	1	0	1
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0	0	0	1	0	0	0	1	2	0	0	0	1	2	0	0	1	1	1	1	1	2	0	0	0	1	0	1	0	1	1	0	1	0	1	0	1	1	0	0	1	1	1	1	1	0	0	0	0	2	0	0	0	0	1	1	2	0	0	0	1	0	0	0	0	0	0	0	1	0	0	1	2	0	0	2	1	1	0	2	1	1	0	0	0	0	0	0	1	0	0	1	0	1	2	0	0	0	0	0	1
0	1	0	1	0	0	1	0	1	1	0	0	0	1	0	0	0	2	1	1	0	1	0	0	1	1	0	0	0	0	0	2	2	2	0	1	0	0	1	0	1	1	1	1	0	0	0	0	0	0	0	0	1	0	1	0	2	0	1	0	1	0	0	0	0	0	0	0	0	1	0	1	1	0	0	1	0	2	0	0	1	1	1	1	0	0	1	1	0	0	0	0	0	0	0	1	1	0	0	0	1
1	1	0	2	1	0	0	0	2	2	1	1	1	1	0	1	0	0	2	2	0	0	0	1	0	0	0	0	1	1	0	1	1	1	1	0	1	0	0	0	1	1	0	1	0	1	0	2	0	1	0	0	0	1	1	1	0	0	0	0	1	0	0	0	1	0	1	0	1	1	1	0	1	1	0	0	1	0	1	0	1	1	0	1	0	1	2	2	0	1	0	0	0	0	1	0	0	1	0	0	1
1	1	0	0	0	0	0	0	0	1	1	0	1	1	0	2	0	1	1	1	1	0	0	0	0	1	1	1	1	1	0	0	0	0	1	0	1	2	0	0	0	1	1	0	1	1	0	1	1	1	1	1	2	0	2	1	0	0	0	0	0	0	0	0	0	1	1	0	1	0	1	1	2	0	1	0	1	0	1	1	0	2	1	1	0	1	0	1	1	1	0	0	0	0	0	0	1	1	0	0	1
0	1	1	1	1	1	1	0	1	1	1	1	1	0	0	1	0	0	0	2	1	0	0	1	1	1	1	0	0	0	0	1	0	0	1	0	1	0	0	0	1	1	1	1	0	0	0	0	1	0	0	2	1	0	1	1	2	1	0	0	1	0	0	1	0	0	1	0	0	0	0	2	0	1	0	1	1	0	0	1	0	0	0	0	0	1	0	0	1	0	0	0	0	0	1	0	0	2	0	0	1
1	2	0	0	1	0	0	0	2	1	0	2	1	1	0	1	0	2	0	2	0	0	0	1	1	0	1	0	0	1	2	2	0	1	2	0	1	1	1	1	1	1	1	1	1	0	0	0	0	1	1	2	0	1	2	0	2	0	2	1	1	0	0	1	0	0	1	0	0	1	0	1	1	0	0	1	1	0	1	1	0	0	1	1	0	0	1	0	1	1	0	0	0	0	1	1	0	0	0	0	1
0	0	0	1	0	0	0	0	1	2	0	0	0	1	0	0	0	0	1	0	1	0	0	2	0	0	0	0	1	1	0	0	2	1	0	0	2	0	0	0	1	2	1	2	2	0	1	0	0	1	1	0	0	1	2	1	0	0	0	1	1	0	1	1	1	0	1	0	0	2	2	0	0	0	1	0	0	0	2	2	1	1	1	0	0	1	2	0	0	0	0	0	0	0	2	1	1	0	0	0	1
0	0	0	2	2	1	1	0	1	0	1	2	0	1	0	0	1	0	0	1	0	1	0	1	1	0	0	0	0	1	0	0	0	2	1	0	0	0	0	0	1	0	1	0	1	2	1	1	0	1	0	0	0	1	0	2	1	0	0	0	0	0	0	0	0	0	2	0	0	1	0	1	0	1	0	2	1	1	1	0	0	1	0	1	0	1	1	2	0	0	0	0	0	1	0	0	2	0	0	0	1
0	0	0	1	0	1	0	1	0	0	0	1	1	0	1	2	0	1	1	0	0	0	1	1	1	1	0	0	0	1	1	0	0	2	0	0	2	1	0	0	2	0	0	1	0	1	0	2	1	0	0	2	1	2	0	0	2	0	0	0	0	0	0	1	0	1	1	0	0	1	1	0	0	1	0	1	0	1	0	0	0	1	0	1	0	1	0	0	0	1	0	0	0	2	1	1	1	1	1	0	1
1	1	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	2	2	0	1	0	0	1	2	1	0	0	2	0	1	0	1	0	1	0	1	1	1	0	0	0	0	2	0	0	0	1	0	2	1	2	1	1	2	0	2	0	0	0	1	0	0	0	1	1	2	1	0	1	0	1	0	1	1	1	1	1	0	2	0	1	1	2	0	1	1	1	1	0	0	1	0	0	0	0	1	0	0	0	1
0	1	0	2	0	0	0	1	0	1	1	0	0	1	0	2	0	0	0	1	2	1	1	2	1	1	0	1	0	1	1	2	1	0	1	0	1	1	2	0	1	1	0	2	0	0	0	2	0	0	0	1	0	1	2	1	1	0	0	1	2	0	0	1	0	1	1	0	0	0	1	1	0	0	0	1	1	0	0	0	0	2	1	1	0	1	0	1	0	0	0	1	0	0	0	1	1	1	0	0	1
1	2	0	0	1	1	2	0	2	1	0	0	0	1	0	1	0	1	2	1	0	1	0	1	0	1	0	2	0	0	0	0	0	1	0	0	1	0	0	0	1	1	0	2	2	1	1	1	1	1	0	0	2	1	2	1	1	0	0	1	1	0	1	1	0	2	0	0	0	0	1	0	1	0	1	1	1	1	0	0	0	1	0	1	0	0	1	0	1	2	0	1	0	2	1	0	1	1	1	1	1
0	1	0	2	1	0	1	1	0	1	0	0	0	0	1	1	1	0	1	0	1	1	0	1	1	0	1	0	0	1	0	1	0	0	1	0	0	0	0	0	1	1	1	1	0	0	0	1	0	0	0	0	0	1	0	0	1	0	0	0	1	0	0	0	0	0	1	0	0	1	0	0	0	1	0	1	1	0	0	0	0	0	1	0	0	0	1	1	2	0	0	1	0	1	2	1	1	0	0	0	1
0	0	0	1	0	1	1	0	1	1	0	1	0	1	1	1	0	0	0	0	0	1	0	1	0	1	0	0	1	1	0	0	1	1	0	1	1	1	0	0	1	1	0	1	1	0	1	1	0	1	0	0	1	0	2	1	2	0	0	1	1	0	1	0	2	1	1	0	0	0	0	1	1	1	0	0	0	1	0	0	0	0	0	1	0	1	0	1	0	0	0	0	0	1	1	0	0	1	1	0	1
0	1	0	0	1	0	0	0	0	2	0	1	0	0	0	2	0	0	0	0	1	2	0	1	1	1	1	1	1	0	0	0	2	0	2	0	1	0	0	0	1	0	0	1	1	0	1	2	0	2	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	2	0	0	0	1	0	0	1	0	1	1	1	0	0	1	0	0	1	0	0	2	1	0	0	0	1	0	0	1	0	1	0	0	0	1
0	1	0	1	0	0	0	1	1	0	0	2	1	1	0	0	0	1	0	1	0	1	0	0	1	1	1	0	1	0	1	0	0	1	1	0	1	1	1	0	1	0	1	2	1	2	1	0	0	0	0	0	1	0	1	1	1	0	0	0	1	0	1	0	0	1	0	0	0	1	0	2	1	0	0	1	1	1	0	0	0	0	1	1	0	2	0	0	1	1	1	1	0	2	1	0	1	0	0	0	1
0	0	1	0	0	0	0	0	0	0	1	2	0	1	1	2	0	0	0	1	0	1	0	1	1	1	0	0	2	0	0	0	0	0	1	0	0	2	1	0	1	1	1	0	0	1	1	0	1	2	0	0	0	0	2	1	1	0	0	1	2	0	0	1	1	2	1	0	0	1	0	1	0	0	0	0	1	1	0	1	1	1	0	1	0	0	1	0	0	0	0	1	0	1	0	1	1	1	0	0	1
1	1	1	1	0	0	0	0	0	0	0	1	0	1	0	2	0	0	0	1	0	2	0	0	0	1	2	0	0	1	0	0	0	2	0	0	2	0	0	0	1	0	2	0	1	1	0	1	1	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	2	0	1	1	1	0	1	1	0	1	0	1	0	0	0	0	1	1	0	1	0	0	1	1	2	0	1	0	0	0	1
0	2	0	0	0	2	0	0	0	1	0	1	0	2	0	0	0	0	0	0	1	0	0	2	0	1	1	0	1	0	0	0	0	1	1	0	2	1	1	0	1	1	1	2	1	0	1	2	0	0	1	0	2	0	2	1	2	0	0	1	0	0	1	0	0	0	1	0	0	1	0	0	1	0	0	1	0	2	0	0	1	0	0	0	0	2	1	1	2	0	0	0	0	0	1	0	1	0	0	0	1
1	2	0	0	1	0	0	1	2	0	0	0	0	0	1	1	0	2	1	1	1	0	0	0	0	0	2	1	0	0	0	1	1	0	1	0	1	1	0	0	2	2	1	0	1	0	1	0	0	0	0	1	1	0	1	1	1	0	0	0	1	0	0	0	2	0	2	0	0	1	0	2	0	1	0	1	1	0	1	0	1	1	0	1	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	1
2	1	1	0	0	0	0	1	1	1	1	0	0	0	0	0	0	1	1	0	0	1	0	2	0	1	1	0	0	0	0	2	0	2	2	0	2	1	2	0	0	1	1	1	1	1	0	0	0	0	2	1	0	1	0	1	2	0	0	1	0	0	0	2	1	0	0	0	0	2	0	1	1	0	0	0	0	0	2	1	1	1	0	0	0	1	2	1	0	0	0	1	0	1	1	0	0	1	0	0	1
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1	0	0	1	0	1	1	1	0	1	1	0	0	0	1	1	1	1	0	2	1	0	0	0	2	2	1	0	0	0	1	0	0	1	1	1	0	0	0	0	0	0	0	1	1	0	1	0	1	0	0	0	1	1	0	0	1	0	0	0	1	0	0	0	1	1	2	0	0	1	0	2	0	1	0	1	2	1	0	0	0	2	0	0	1	1	0	2	0	0	0	1	0	0	0	0	1	0	0	0	1
1	0	0	1	2	0	1	2	1	0	2	1	0	1	0	2	0	1	0	2	1	1	0	0	2	1	0	0	0	1	2	2	1	1	1	0	0	1	0	0	2	0	0	1	1	0	0	2	0	1	0	0	1	1	1	0	1	0	1	0	0	0	0	1	1	2	0	0	0	1	1	1	1	1	0	2	1	1	0	0	0	0	1	1	0	1	2	0	1	0	0	0	0	1	1	1	0	1	0	0	1
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1	1	1	1	0	0	1	1	0	2	0	2	2	1	0	1	2	0	0	1	1	1	1	0	0	0	0	2	1	0	0	0	1	1	0	1	0	1	0	0	0	2	1	0	2	1	0	0	1	0	0	2	0	1	2	0	2	1	0	0	1	0	0	1	0	1	1	0	0	1	0	0	0	0	0	1	1	2	0	0	0	1	0	1	0	1	1	0	1	0	0	1	0	1	1	0	2	0	1	0	1
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1	1	0	0	1	0	0	1	0	1	0	0	1	0	0	1	0	0	1	0	1	2	0	2	0	1	0	0	1	1	0	0	0	1	1	0	1	0	1	0	0	1	1	0	1	0	0	2	0	0	0	0	1	2	1	0	1	0	0	1	0	0	0	0	1	0	0	0	1	0	0	1	1	0	1	0	2	1	0	0	0	1	1	0	0	2	1	0	1	0	0	1	0	1	1	1	1	1	0	0	1
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0	2	0	0	0	0	0	0	1	0	0	0	0	1	0	1	0	1	0	0	0	1	0	2	2	1	0	0	0	0	1	0	0	1	1	0	2	1	1	0	0	1	0	1	1	0	0	0	1	2	0	0	0	0	1	0	1	0	0	0	1	0	1	1	0	2	0	0	0	0	0	1	0	1	0	2	2	0	0	1	0	0	1	1	0	1	1	2	2	1	0	0	0	1	0	1	0	1	0	0	1
0	1	0	0	0	0	0	0	0	1	1	1	1	1	0	1	1	1	0	1	1	0	0	1	1	1	0	2	0	0	0	0	1	0	0	0	0	1	0	0	1	1	1	2	2	0	0	1	0	1	0	0	2	1	0	2	0	0	0	0	0	0	0	0	0	2	0	0	0	1	0	2	2	1	1	0	1	0	0	0	0	2	1	1	0	1	1	1	0	1	1	0	0	1	1	1	1	1	0	0	1
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0	1	0	1	0	1	0	1	0	0	2	1	2	0	0	0	0	1	1	0	0	1	1	1	0	0	0	1	0	1	1	1	0	0	0	0	0	0	1	0	0	1	1	1	2	0	0	1	0	0	0	2	0	0	0	1	2	0	0	0	0	0	0	0	1	0	1	2	0	0	0	0	2	1	0	1	0	2	1	2	0	1	1	0	0	2	1	0	1	0	0	0	0	1	0	1	1	0	1	0	1
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1	1	0	0	0	0	0	1	1	0	2	1	1	1	0	0	0	1	0	1	1	0	0	1	0	1	1	0	0	0	1	1	0	1	1	1	2	1	1	0	0	1	1	1	0	0	2	1	0	0	0	1	0	0	1	0	1	1	0	0	0	0	0	0	1	1	1	0	0	0	0	1	0	0	1	0	0	0	0	1	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	1	0	1	1	1
0	1	1	1	0	0	1	1	1	1	1	1	1	0	0	1	0	1	0	1	1	2	0	2	0	0	0	0	1	0	0	1	1	2	0	0	2	0	0	0	0	0	0	2	1	0	0	0	1	1	0	2	0	0	0	0	2	0	0	1	0	0	0	1	0	1	0	0	0	1	0	0	0	2	0	2	1	1	0	0	0	2	0	1	1	1	0	1	0	1	1	0	0	0	1	1	1	0	0	0	1
0	2	0	2	1	0	1	0	2	1	1	2	0	1	1	1	0	2	1	1	1	1	0	1	1	0	1	0	0	2	2	2	0	1	1	0	0	0	1	0	1	1	1	0	2	0	1	0	0	1	0	0	2	2	2	0	1	0	0	1	1	0	0	1	0	0	0	0	0	0	0	0	0	0	1	1	0	1	0	0	1	1	0	1	0	1	1	1	1	0	0	0	0	0	0	1	0	0	0	1	1
1	1	0	0	0	0	0	0	0	1	0	0	2	0	0	0	0	1	1	1	0	0	1	0	1	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0	1	0	2	1	1	1	1	0	0	1	0	1	0	1	2	2	1	1	1	1	1	0	0	0	0	1	2	0	0	1	2	1	0	0	0	1	0	0	1	0	1	1	1	1	0	1	1	2	0	0	0	1	0	1	0	0	0	1	0	0	1
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1	1	0	0	1	0	1	0	1	0	1	0	2	0	1	0	2	0	0	0	1	0	0	1	2	1	1	1	1	1	0	2	0	1	2	0	2	0	1	1	1	1	2	0	0	1	0	2	0	1	1	0	0	0	0	1	1	0	0	0	1	0	0	0	0	0	1	0	0	0	1	0	1	0	1	1	0	0	0	1	0	1	2	1	0	1	0	0	0	1	1	0	0	1	0	0	1	0	0	0	1
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1	0	0	1	1	1	0	1	2	1	0	0	1	0	0	0	0	1	0	1	1	2	0	1	2	0	0	1	0	0	0	0	0	1	1	0	1	0	0	0	0	1	0	2	0	0	0	0	0	1	0	0	0	1	1	1	2	0	0	1	1	0	0	0	0	2	1	0	0	0	0	1	0	0	1	0	1	1	1	1	1	0	1	0	0	0	0	0	1	1	1	0	0	1	1	1	2	1	0	1	1
2	2	0	0	1	0	1	0	1	0	0	0	0	1	0	1	1	1	0	1	0	0	1	1	0	1	0	0	0	2	0	1	0	1	0	1	1	1	0	0	0	2	1	2	2	0	0	2	1	0	1	1	0	1	2	0	1	0	0	0	1	0	0	1	1	0	1	0	0	1	0	0	1	0	0	2	1	1	0	1	0	2	0	2	0	0	1	0	0	1	0	0	0	0	1	1	1	1	0	0	1
0	1	0	0	0	0	1	0	2	1	0	1	1	0	0	2	0	2	1	1	1	2	0	1	1	1	1	0	0	0	0	0	0	1	1	1	2	0	1	0	0	0	0	0	0	0	0	0	0	1	2	0	1	1	1	1	1	0	0	2	0	0	0	0	0	2	1	0	0	0	0	1	1	0	1	1	0	1	0	0	0	1	1	1	0	2	0	2	1	0	1	0	0	0	0	0	1	1	0	0	1
0	1	0	1	1	1	0	1	0	1	1	1	0	1	1	1	1	1	1	0	1	0	1	1	1	0	1	1	0	1	0	0	0	1	2	1	1	1	1	0	0	2	0	1	0	0	0	0	0	1	0	0	1	1	1	1	1	0	0	0	1	0	0	0	0	0	1	0	0	1	0	1	0	1	0	2	1	1	0	1	0	0	0	1	1	2	1	0	1	1	0	1	1	1	1	0	1	0	0	0	1
0	0	0	0	0	1	2	0	1	1	1	1	0	0	0	1	1	1	0	1	1	0	0	1	1	0	0	0	1	1	0	0	0	1	1	0	1	1	0	0	2	1	1	0	1	0	0	1	0	2	0	0	2	1	2	1	1	0	0	0	1	0	0	1	0	0	1	0	0	1	0	1	1	2	1	2	1	1	0	1	0	0	0	0	0	0	1	1	0	0	1	1	0	2	1	0	2	0	0	0	1
0	1	0	1	1	0	1	0	1	0	1	2	1	1	1	1	0	1	0	0	0	0	0	0	1	1	1	0	0	0	0	0	1	2	0	0	0	2	0	0	0	0	0	1	1	0	0	2	0	1	0	0	0	0	2	1	2	0	0	0	0	0	0	1	0	1	0	1	0	1	0	1	1	0	1	1	0	1	1	0	0	0	0	1	0	0	1	0	0	0	1	0	0	1	0	2	0	1	0	0	1
0	0	1	0	0	0	0	2	1	1	0	1	1	1	0	0	1	1	0	1	1	1	1	0	0	0	2	0	1	1	1	0	0	1	1	1	0	0	1	0	0	0	0	0	0	0	1	1	0	0	1	0	1	1	1	0	1	0	0	0	1	0	1	0	0	0	0	0	0	1	1	1	0	0	0	0	1	2	2	1	0	2	0	0	0	1	0	0	0	0	0	0	0	1	1	0	0	0	0	0	1
1	0	0	1	0	0	0	1	1	0	1	1	0	1	0	1	0	1	0	0	0	1	0	1	1	0	0	0	0	0	0	0	1	0	0	0	1	1	0	0	0	1	1	1	0	1	1	2	1	0	0	2	1	0	1	0	1	0	0	1	0	0	0	0	1	1	1	0	0	0	0	0	1	1	1	1	1	2	1	2	0	0	0	0	0	2	1	1	0	1	0	0	0	0	1	1	2	0	0	0	1
0	0	0	0	0	1	0	1	2	1	0	1	0	0	1	0	0	0	0	0	1	1	0	1	0	1	0	0	0	0	0	1	0	0	2	0	2	0	0	1	0	1	0	1	1	1	0	1	1	0	0	1	1	0	0	0	0	0	0	0	1	0	0	0	0	0	2	0	0	1	0	1	1	1	0	2	0	1	0	1	0	1	0	0	0	2	1	0	1	0	0	0	0	0	0	0	0	1	0	1	1
0	1	0	0	0	0	1	1	0	2	1	1	0	2	0	1	1	1	0	0	0	1	0	0	0	1	0	0	2	0	0	0	0	1	0	0	1	0	0	0	0	0	0	1	0	0	0	0	2	1	0	0	1	1	1	1	1	0	0	0	2	0	0	0	2	1	0	0	0	0	0	2	0	1	0	2	0	1	1	0	0	0	0	2	0	0	1	0	0	0	0	0	0	0	1	0	1	1	0	0	1
0	0	0	0	0	0	1	1	2	2	2	2	1	0	0	2	0	1	0	1	0	2	1	0	2	2	0	0	0	0	1	0	0	2	1	0	2	0	1	0	0	1	1	0	2	0	0	1	1	2	0	0	0	0	1	0	2	0	0	1	1	0	0	1	0	1	0	0	0	0	0	1	1	1	0	1	0	1	1	1	1	0	0	0	0	1	1	1	0	0	1	0	0	0	1	0	1	0	0	0	1
0	1	0	0	0	1	0	0	0	1	1	1	1	0	0	1	0	0	0	1	1	1	0	0	1	1	0	0	2	1	0	1	2	0	1	0	2	0	1	0	1	1	0	0	2	0	0	0	0	0	0	0	0	0	1	1	0	0	1	1	2	0	0	0	0	0	1	0	0	1	0	1	0	0	0	1	1	0	1	0	0	1	0	1	0	1	0	0	1	1	0	2	0	0	0	0	0	2	0	0	1
1	2	0	2	0	0	0	1	0	0	1	2	1	2	0	1	0	1	0	2	1	0	0	1	0	0	1	0	0	0	1	0	0	1	1	0	0	1	0	0	0	0	0	2	1	0	0	1	0	1	2	0	0	0	1	2	1	0	0	0	0	0	0	0	1	1	1	0	0	1	1	0	1	0	0	0	0	1	0	0	1	1	0	0	0	0	1	0	0	1	0	0	0	2	2	0	2	1	0	0	1
1	1	1	1	0	1	0	0	0	2	1	2	0	1	1	1	1	1	0	1	0	1	0	1	1	1	1	1	0	0	1	0	1	1	0	0	2	0	0	0	1	0	2	0	2	1	1	0	0	1	0	0	1	1	0	0	0	0	1	1	0	0	0	1	0	1	0	0	0	1	1	0	1	0	0	1	0	1	1	0	1	2	1	1	0	1	2	0	0	0	0	1	0	0	0	1	2	0	0	0	1
0	0	0	1	0	0	0	1	1	1	1	2	0	0	1	1	1	1	0	0	1	0	0	0	0	1	0	0	0	0	1	0	1	1	1	0	1	0	0	0	1	0	1	0	1	0	0	1	1	0	1	1	1	1	1	1	1	0	1	0	2	0	0	0	0	2	2	0	0	0	0	2	2	0	0	1	1	1	0	1	0	0	0	0	0	1	1	0	1	0	0	0	0	0	0	0	1	1	0	0	1
1	0	0	1	1	0	1	1	0	2	0	2	1	1	1	0	0	0	1	1	1	1	1	1	1	1	0	0	0	0	1	0	1	2	0	0	2	1	0	0	1	0	0	2	1	0	0	2	0	1	0	0	0	2	1	1	1	0	0	1	1	1	0	0	1	0	1	0	0	2	0	1	1	0	0	1	1	1	2	1	0	0	0	1	1	2	2	0	0	0	1	0	0	0	0	1	0	0	0	0	1
0	2	0	0	1	0	0	1	0	2	1	2	0	0	0	2	0	0	1	0	1	1	0	2	1	2	0	0	0	0	1	1	0	1	1	0	0	0	1	0	0	1	1	1	0	0	1	1	0	0	1	0	1	0	0	1	0	0	0	1	1	0	0	0	1	2	2	0	0	0	0	0	2	0	0	1	1	1	1	2	0	1	1	2	0	1	1	1	0	1	0	1	0	1	1	0	0	0	1	1	1
2	1	0	1	1	0	0	1	1	0	1	1	1	0	1	2	1	1	0	2	1	1	0	0	0	0	1	0	1	0	0	1	0	0	0	0	1	0	0	0	1	0	1	1	2	1	0	1	0	1	0	1	2	0	0	1	1	0	0	1	1	0	1	0	0	0	0	0	0	0	0	1	1	0	0	1	1	2	1	0	0	1	1	1	0	1	1	0	1	0	0	0	0	1	1	1	2	1	0	0	1
1	1	0	1	1	0	0	0	0	1	1	2	0	0	0	2	1	1	1	1	1	2	1	2	1	0	0	0	0	1	0	1	1	0	0	0	0	1	0	0	0	2	1	1	0	0	0	0	0	0	0	0	0	1	0	1	0	1	0	1	0	0	0	0	0	2	0	0	0	1	0	2	2	1	0	1	1	0	1	0	0	1	0	1	0	1	1	1	1	1	0	0	0	1	0	0	1	1	0	0	1
0	0	0	1	0	0	0	1	0	1	1	1	1	1	0	2	0	0	2	1	1	0	0	1	1	1	1	0	1	0	1	2	0	1	1	0	1	1	1	0	0	1	1	1	0	0	1	1	0	2	0	0	1	1	1	2	2	0	1	1	1	0	0	1	1	1	2	0	0	0	1	2	1	0	0	2	0	0	1	1	0	0	0	1	0	0	0	0	1	1	1	0	0	0	2	0	1	0	0	0	1
0	1	0	2	0	0	0	0	0	0	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	1	0	1	0	0	0	0	1	1	1	0	0	0	0	1	2	0	0	1	0	2	0	1	1	1	1	2	0	0	0	0	0	0	0	0	0	0	1	0	0	1	0	0	2	0	0	1	0	2	0	1	0	0	0	2	0	1	1	0	2	0	0	1	0	1	1	0	0	0	0	0	1
0	1	0	1	0	0	1	0	1	1	1	0	0	1	0	1	0	0	2	1	1	2	0	0	2	1	1	0	1	0	0	0	0	0	0	0	1	0	0	0	1	2	2	2	2	1	0	1	1	1	0	1	0	0	0	0	1	0	0	2	1	0	1	0	0	1	1	0	0	1	0	0	0	0	0	1	0	0	1	1	0	1	2	0	0	1	1	0	0	0	0	0	0	0	1	0	1	1	0	0	1
0	0	0	0	0	0	0	0	0	1	1	1	0	1	0	0	0	0	0	1	0	1	0	0	1	0	0	0	0	1	1	0	0	0	2	0	1	1	0	0	1	1	0	2	0	0	0	0	1	1	0	1	2	2	0	2	1	0	0	0	2	0	0	0	0	0	1	0	0	1	0	0	0	0	0	1	2	1	0	0	0	1	1	2	0	1	0	1	1	0	0	1	0	2	1	0	0	0	0	0	1
0	1	0	0	0	0	0	1	1	1	1	0	0	0	0	0	0	0	1	2	0	0	0	1	0	1	0	0	0	2	0	1	0	0	1	0	2	1	1	0	0	1	1	0	2	1	1	0	0	1	0	1	1	2	1	0	1	0	0	0	0	0	0	1	0	2	1	0	0	0	1	1	0	1	0	1	1	0	0	0	0	1	0	0	0	2	0	1	2	1	1	0	0	2	0	1	0	0	0	0	1
0	1	0	2	1	0	1	0	1	1	1	0	1	1	0	0	0	1	0	0	1	1	0	0	0	0	0	0	0	0	1	0	0	1	0	0	0	1	0	0	1	0	0	1	0	0	0	1	0	2	0	0	1	0	2	1	1	0	1	1	1	0	1	1	0	1	0	1	0	0	0	0	1	0	1	0	1	0	0	0	1	1	1	2	1	1	1	1	0	1	0	1	0	2	1	0	0	1	0	0	1
0	0	1	1	1	2	0	0	1	1	1	0	2	2	0	1	1	0	0	1	0	0	1	0	0	0	0	0	1	1	1	0	0	1	1	0	2	0	0	0	0	1	1	1	1	1	0	0	0	1	0	0	2	2	0	1	0	1	1	1	0	0	0	0	0	0	1	1	0	0	1	1	1	0	1	1	1	2	2	0	0	1	1	1	0	0	1	1	0	1	0	1	0	0	0	1	2	1	0	0	1
0	0	0	1	0	0	1	2	0	1	1	2	0	0	0	2	0	0	1	0	0	2	1	1	0	0	0	0	1	1	0	1	2	1	0	1	1	1	0	0	1	0	1	1	2	1	0	0	0	1	0	2	1	1	1	0	0	0	0	1	2	0	1	0	0	0	1	0	0	1	0	2	0	0	1	1	0	1	0	0	0	1	2	0	1	0	2	1	0	0	0	2	0	0	0	0	0	1	0	1	1
0	2	0	0	0	0	0	0	0	0	1	2	0	2	0	2	0	1	0	0	0	1	0	1	0	0	0	1	1	0	0	0	1	1	1	1	2	1	0	1	0	0	2	2	0	1	0	1	0	1	0	0	0	1	1	2	1	0	0	0	0	0	1	1	2	0	1	0	0	1	0	0	1	1	0	0	2	2	0	0	0	0	0	0	0	0	1	1	1	1	0	0	0	0	0	1	1	0	0	0	1
1	2	0	0	0	0	0	0	0	2	1	2	0	1	1	1	0	0	0	2	0	0	0	0	2	1	0	0	1	0	1	1	0	1	1	0	1	1	1	0	0	0	0	2	1	1	0	0	1	0	0	0	0	1	1	1	1	0	0	0	1	0	0	0	0	1	2	0	0	0	1	0	0	0	0	0	0	1	0	0	0	1	0	0	0	1	2	0	1	0	0	1	0	1	1	0	1	0	0	0	1
0	0	0	2	0	0	0	0	1	0	1	1	0	0	1	2	0	0	0	1	0	1	0	1	0	0	1	0	0	0	0	1	1	1	1	0	0	1	0	0	0	2	0	1	1	1	0	0	0	0	0	1	0	0	1	1	2	1	0	2	1	0	0	0	0	1	2	0	0	1	2	0	0	0	0	1	0	1	0	1	0	0	1	0	0	0	2	1	1	0	1	0	0	0	1	0	2	0	0	0	1
0	0	0	0	0	0	1	1	1	0	0	1	0	0	1	1	1	0	1	0	1	1	0	1	1	1	0	0	0	0	0	0	1	1	0	0	1	0	0	0	2	2	2	2	2	0	1	1	1	1	0	0	1	2	2	2	1	0	1	0	0	0	0	0	1	0	1	0	0	1	1	1	1	0	0	0	1	1	0	1	0	1	0	1	0	0	1	1	0	0	0	0	0	1	0	1	2	1	0	0	1
0	0	0	1	1	0	0	0	0	0	2	0	0	0	0	1	1	1	1	2	1	1	0	1	1	0	0	0	0	0	1	1	1	0	0	0	1	2	1	1	0	1	0	1	1	0	1	1	0	0	0	0	0	1	2	2	1	0	0	0	2	0	0	0	2	0	2	0	0	1	0	1	1	0	0	1	1	1	0	1	0	0	0	0	0	1	0	1	2	2	0	0	0	1	0	2	1	1	0	0	1
0	0	0	0	0	0	0	0	0	1	1	2	0	0	0	2	1	2	0	1	2	0	0	0	1	0	0	0	1	0	2	1	0	2	0	0	0	1	1	0	0	1	2	2	2	0	0	0	0	1	0	0	2	0	0	1	1	1	0	1	0	0	0	0	1	2	2	0	0	1	1	1	0	0	1	2	1	1	0	1	0	1	0	0	0	2	1	1	0	0	2	1	0	1	1	0	1	1	0	0	1
0	0	0	1	0	0	2	0	1	1	0	0	1	0	0	1	1	1	1	1	1	1	0	1	1	0	0	0	1	0	0	0	0	0	1	0	1	1	0	0	0	0	1	1	0	0	1	1	0	1	1	0	0	0	0	0	1	0	0	0	1	0	0	0	2	1	2	0	0	0	0	1	2	1	0	1	1	1	1	1	1	1	1	1	1	1	1	1	0	0	1	0	0	0	1	1	0	1	0	0	1
1	0	0	1	0	0	0	1	1	2	1	2	1	1	0	2	0	1	0	1	2	0	0	1	1	0	0	0	1	0	0	0	0	1	2	0	2	1	0	0	0	2	1	2	2	0	0	1	1	0	0	0	0	1	1	1	0	0	0	1	0	0	0	0	0	1	2	1	0	0	1	2	1	1	0	1	0	1	0	0	0	1	1	0	0	1	1	0	0	1	0	0	0	2	1	0	0	0	0	1	1
0	1	1	0	1	0	0	1	1	1	0	0	0	0	0	0	1	0	2	1	1	0	0	2	0	0	0	1	1	2	1	0	1	2	0	1	0	1	0	1	0	1	0	2	1	0	0	1	0	0	0	1	1	0	1	1	1	0	0	0	0	0	0	0	1	2	2	0	0	1	1	1	0	0	0	0	0	0	0	0	0	2	2	0	0	1	1	2	0	0	0	0	0	0	0	0	0	1	0	1	1
0	1	0	1	0	0	1	1	0	0	2	1	0	1	1	1	0	0	0	1	1	2	1	0	2	1	0	1	0	0	1	1	1	1	2	0	2	2	0	0	0	0	0	1	1	1	0	0	0	0	1	0	1	0	0	0	0	0	0	1	1	0	1	0	0	0	1	1	0	1	0	1	1	0	0	1	0	1	1	0	0	1	0	1	0	2	0	2	1	1	1	0	0	1	1	1	1	0	0	0	1
0	1	0	2	1	0	1	0	1	1	0	1	0	1	0	0	0	0	2	1	0	1	0	0	1	0	0	0	1	0	1	2	1	1	1	1	2	2	0	0	1	1	0	0	1	0	0	0	0	0	0	0	1	0	0	1	1	0	0	1	1	0	1	0	0	2	2	0	0	1	1	0	1	1	0	1	1	1	0	0	0	1	0	2	0	2	2	0	0	0	0	0	0	1	1	1	1	0	0	0	1
1	1	0	2	0	0	0	0	1	1	1	2	1	1	0	2	1	1	1	1	1	1	0	0	1	0	1	0	0	2	0	0	0	1	1	0	2	1	0	0	1	1	0	1	1	0	1	0	0	0	1	0	1	0	2	1	1	0	0	1	1	0	0	0	0	2	0	1	0	0	1	0	0	0	0	0	2	2	0	1	0	1	0	0	0	1	2	0	2	0	1	0	0	0	0	0	1	0	0	0	1
1	1	0	0	2	1	1	0	1	1	0	0	1	2	1	0	0	1	0	0	0	0	0	0	0	0	1	1	0	0	1	1	0	1	0	0	1	0	0	1	1	0	0	1	1	0	0	1	0	0	0	0	1	1	1	1	2	0	1	2	1	0	0	0	0	1	2	0	0	1	0	0	1	0	1	1	0	1	1	1	0	1	0	0	0	1	0	2	0	1	0	1	0	1	0	0	1	0	0	0	1
1	1	0	1	0	0	0	1	0	0	1	0	1	2	1	1	0	0	0	1	0	2	0	1	1	0	1	0	1	1	1	1	0	2	0	0	2	2	0	0	0	1	2	1	0	1	1	0	0	1	1	1	1	0	2	1	1	0	0	0	0	0	0	1	1	0	0	0	0	0	1	1	1	0	0	1	1	0	0	0	0	1	1	0	0	0	0	0	1	0	1	1	0	0	1	1	0	1	0	0	1
1	1	0	0	0	1	0	1	2	2	1	0	0	0	0	1	0	0	0	2	0	1	1	1	0	0	0	1	0	1	1	1	1	1	1	0	2	0	0	0	1	2	1	1	0	0	1	0	0	1	1	0	1	0	0	0	0	1	0	0	2	0	0	0	1	0	0	0	0	0	1	1	2	0	0	1	0	1	0	1	0	0	0	0	0	0	1	1	1	0	1	0	0	1	0	1	0	1	0	0	1
0	1	0	2	1	0	1	0	1	1	0	0	1	0	1	0	0	0	0	2	2	2	0	1	2	0	0	0	1	0	1	1	0	0	1	0	0	1	0	0	0	1	1	1	0	0	0	0	1	0	0	1	0	1	0	0	1	0	0	1	0	0	0	0	0	2	0	0	0	0	1	2	0	1	0	1	1	1	1	0	0	0	0	1	0	2	1	1	0	0	0	0	0	2	0	0	1	0	0	0	1
0	2	1	0	1	0	0	1	0	0	1	2	1	0	0	1	0	0	2	1	0	1	0	2	0	0	1	0	1	0	0	0	0	2	1	1	1	0	0	0	0	2	1	1	0	0	1	1	0	2	0	2	2	0	1	1	0	0	2	0	0	0	0	1	0	0	0	0	0	1	0	0	1	0	0	0	0	0	1	0	0	1	0	1	0	1	2	0	0	1	0	1	0	1	1	2	1	0	0	0	1
0	0	0	1	0	0	0	0	0	0	2	1	1	0	0	1	0	1	1	1	2	1	1	0	1	1	0	1	1	0	1	2	0	0	1	0	1	0	0	0	0	1	1	0	1	0	0	0	0	1	1	0	0	1	2	2	1	1	0	1	2	0	0	1	0	1	2	0	0	0	0	1	0	1	0	1	2	1	0	0	1	1	1	2	0	2	2	0	0	0	1	0	0	0	1	1	1	0	0	0	1
0	1	0	1	0	0	0	0	1	1	1	0	1	0	0	1	0	0	1	1	2	1	0	1	0	0	0	0	0	1	1	0	0	2	1	0	1	0	0	0	1	0	0	2	0	0	0	0	1	0	1	0	1	2	1	0	0	0	0	0	0	0	0	0	1	2	2	1	0	1	0	0	1	0	0	1	1	1	0	0	0	0	0	0	0	1	1	0	2	0	0	0	0	1	1	0	0	1	0	0	1
0	0	1	0	0	0	1	0	2	2	1	1	1	0	1	1	2	2	0	1	0	1	0	1	1	0	0	1	0	0	1	2	0	2	2	0	1	2	2	1	0	0	1	0	1	0	1	0	0	0	0	0	1	1	0	0	0	0	0	1	1	0	0	0	1	2	2	0	0	1	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	1	0	0	1	1	0	0	0	0	1
1	1	0	2	0	0	0	0	1	2	1	1	0	1	0	0	1	0	0	1	0	1	0	2	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	1	0	1	0	1	0	0	1	1	1	0	0	2	1	1	2	1	0	1	2	1	0	0	0	0	1	2	0	0	0	1	0	2	1	0	1	0	2	1	0	1	1	1	1	0	0	2	1	0	1	1	0	0	1	0	2	2	0	0	0	1
0	1	0	2	0	0	0	0	0	0	1	1	1	0	0	1	0	0	1	0	2	1	0	1	2	1	1	0	0	1	0	0	1	0	0	0	2	1	0	0	1	2	0	2	2	0	0	0	0	2	1	0	0	1	1	2	1	0	1	1	1	0	0	0	0	1	1	0	0	0	0	1	0	0	0	1	1	1	0	0	1	0	1	0	0	0	2	0	0	0	0	0	0	0	0	0	0	1	0	1	1
2	1	0	1	0	0	0	1	0	0	1	1	0	2	0	2	0	1	0	1	2	2	0	0	0	0	0	1	1	1	0	0	1	0	1	0	1	1	1	0	1	1	0	1	1	0	0	0	1	1	1	0	1	1	1	0	0	1	0	0	0	0	0	1	0	0	2	0	0	2	2	0	1	0	0	0	0	0	0	1	1	2	0	1	0	2	0	0	1	1	0	1	0	0	0	1	1	0	0	0	1
1	1	0	2	0	0	0	0	1	1	2	0	2	0	0	1	0	1	1	0	1	1	1	0	2	1	1	0	0	0	0	1	0	1	1	0	1	1	1	0	0	1	1	0	1	0	0	0	0	1	0	0	1	0	1	0	1	1	0	1	1	0	0	1	0	2	0	0	0	0	0	1	2	0	1	2	1	2	1	0	2	1	0	0	0	1	2	2	0	1	0	0	0	1	0	0	0	1	0	0	1
0	0	0	1	0	0	1	0	2	0	1	1	1	0	1	0	0	1	2	2	2	1	0	0	1	0	0	0	0	0	0	0	0	1	0	0	2	0	0	0	2	1	1	1	2	0	0	0	1	0	1	1	1	1	0	1	1	0	0	1	0	0	0	0	1	1	1	0	0	1	0	1	1	0	1	1	2	0	0	2	0	1	1	1	0	1	1	1	1	0	0	0	0	0	0	1	1	2	1	1	1
0	0	0	0	0	0	0	0	1	0	1	1	0	1	0	0	1	1	1	0	1	2	0	1	0	1	0	0	1	0	1	1	0	0	0	1	1	1	1	1	1	0	1	0	2	0	0	1	1	1	0	0	0	1	2	1	1	0	0	1	0	0	1	1	0	2	1	0	0	1	2	1	0	1	0	2	1	1	0	0	0	0	1	1	0	1	0	2	1	0	0	0	0	0	0	1	0	1	0	0	1
1	0	0	1	0	0	0	0	1	2	0	1	0	0	0	1	1	0	1	1	1	1	0	0	0	1	1	0	2	1	0	1	1	0	1	1	0	2	1	0	0	1	1	1	1	0	1	1	0	1	0	0	0	1	1	0	2	0	0	0	0	1	0	0	0	2	2	0	0	0	1	1	2	1	1	1	0	0	1	1	0	0	0	1	0	2	1	1	1	1	0	0	0	1	1	0	0	0	0	0	1
0	0	0	0	1	1	0	1	1	0	1	1	1	0	1	1	0	0	1	0	1	1	0	0	1	1	1	0	1	1	0	0	0	1	1	0	0	0	0	0	1	2	1	0	0	1	0	0	0	2	0	1	1	0	2	0	2	0	0	1	0	0	1	1	0	0	1	1	0	0	0	1	1	1	0	0	2	1	0	1	0	0	0	1	0	1	0	0	0	0	1	0	0	0	1	1	2	1	0	1	1
1	2	1	0	0	1	0	0	1	1	1	2	0	0	0	1	1	1	1	0	1	1	0	1	0	1	0	0	1	0	0	1	0	1	0	0	1	0	1	1	0	1	1	1	1	0	0	1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	1	0	1	0	0	1	1	2	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	1	0	0	0	0	0	0	1
1	1	0	1	1	0	1	0	0	0	1	1	0	2	0	1	1	1	0	0	0	2	0	1	1	1	0	0	1	0	1	0	0	2	0	0	2	0	1	0	0	2	0	1	0	0	2	0	1	0	0	1	1	2	2	1	1	0	1	0	0	0	0	1	1	1	1	0	0	1	0	2	1	1	0	0	1	0	0	0	0	1	1	2	0	1	0	0	2	0	0	0	0	0	1	0	1	0	0	0	1
0	1	0	2	0	1	1	0	1	1	1	2	1	0	1	1	1	1	0	1	0	1	0	1	0	0	0	0	0	0	1	0	0	1	1	1	0	1	0	0	1	0	0	1	1	0	0	1	0	1	0	0	0	2	2	0	1	0	0	0	0	0	0	0	1	1	0	0	0	1	0	1	1	1	0	0	1	0	1	1	0	2	1	2	0	1	1	0	1	0	0	0	0	0	0	0	1	1	0	0	1
0	0	0	0	1	0	0	0	1	1	0	1	2	0	0	0	0	2	0	2	1	2	0	1	1	1	0	0	1	0	0	0	0	1	0	0	1	0	0	0	0	0	1	0	1	0	0	1	0	0	0	1	0	1	1	1	1	0	0	1	1	0	0	0	0	0	0	0	0	0	2	1	0	0	0	1	1	2	1	0	0	1	0	1	0	1	2	0	1	0	0	1	0	1	0	0	1	0	0	1	1
0	1	0	1	0	0	0	1	1	0	2	0	0	1	0	1	0	1	1	1	1	1	0	2	1	1	1	0	0	1	2	1	1	1	1	0	1	1	0	0	1	0	2	1	2	0	0	1	1	1	0	1	0	0	1	0	2	0	1	1	2	0	0	0	0	1	2	0	0	0	1	1	1	1	0	0	0	0	0	1	1	1	0	2	0	1	0	0	0	0	1	2	0	0	1	1	1	1	0	0	1
0	0	1	2	1	0	0	0	1	0	1	1	1	0	0	1	0	1	1	2	1	1	1	1	2	0	0	1	1	1	1	0	0	1	0	0	2	0	0	0	1	0	1	2	0	0	1	0	1	2	1	1	1	0	1	0	2	0	0	0	1	1	0	1	1	1	0	0	0	0	1	1	1	1	0	1	0	2	2	1	1	1	0	1	0	1	1	0	1	1	0	0	0	1	0	0	1	0	1	0	1
1	1	0	1	0	0	0	1	1	1	1	2	1	0	0	1	0	1	1	1	1	2	0	1	1	0	0	0	0	2	1	0	0	1	2	0	1	1	0	0	0	1	0	2	1	0	1	0	0	1	1	0	2	1	0	1	0	0	0	2	1	0	0	0	0	1	2	0	0	0	0	1	2	0	0	1	0	1	0	1	0	1	1	1	0	0	1	0	1	0	1	1	0	1	1	1	1	0	0	0	1
0	1	0	2	0	0	0	0	0	1	1	1	1	0	0	0	0	1	1	1	1	1	0	1	0	0	0	1	1	1	0	1	0	0	2	0	2	2	1	0	0	2	1	1	1	0	0	1	0	0	0	0	0	1	1	0	0	0	0	1	0	0	0	0	0	1	0	0	0	1	0	0	1	0	0	1	1	1	1	1	0	0	0	0	0	1	0	0	1	1	1	0	0	0	0	0	1	1	0	0	1
0	2	1	0	0	0	0	0	0	1	0	1	0	2	2	0	1	1	0	2	1	0	1	0	0	1	0	2	1	1	1	1	1	0	2	0	1	0	1	0	1	0	1	2	0	0	0	0	1	0	1	0	1	0	2	0	1	1	1	1	1	1	0	2	0	0	0	0	0	1	0	1	1	0	0	1	0	1	0	1	0	2	0	0	0	1	1	1	1	0	0	1	0	1	0	1	1	1	0	0	1
0	0	1	1	1	0	0	1	1	1	0	1	1	0	0	1	0	2	1	1	0	2	0	0	1	0	0	0	0	0	0	1	0	1	1	0	1	0	0	0	0	1	0	1	0	0	0	0	0	1	1	1	1	0	1	0	0	0	1	0	0	0	0	0	0	2	1	0	0	0	1	0	1	0	0	0	0	0	2	0	1	0	0	1	0	1	2	0	1	0	0	0	0	0	0	1	1	0	0	0	1
1	2	0	0	0	0	1	1	1	1	0	1	0	0	0	1	0	0	0	0	1	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	1	0	0	1	1	0	2	0	1	0	1	0	1	1	1	0	1	1	1	1	2	0	0	0	2	0	0	2	2	2	2	0	0	0	0	2	0	0	1	1	1	1	0	0	0	1	0	2	0	1	2	1	1	1	0	0	0	0	0	0	0	0	0	0	1
0	1	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	2	2	1	1	0	0	1	0	0	1	1	1	2	0	0	1	1	0	1	2	2	1	0	2	1	1	2	1	0	0	0	0	0	1	0	0	1	2	1	0	0	0	0	0	0	2	1	0	1	0	1	0	0	1	0	0	1	2	1	0	0	0	0	0	0	1	0	0	2	1	2	0	0	0	0	1	1	0	1	1	0	0	1
0	1	0	0	0	0	0	0	1	2	1	2	0	0	0	1	1	2	0	1	0	0	0	1	1	0	0	1	0	0	1	1	0	2	1	0	1	0	0	0	0	1	0	1	0	0	0	1	0	0	0	0	0	0	1	1	1	0	0	1	1	0	0	0	0	1	2	0	0	1	0	1	1	0	0	1	0	2	0	1	0	2	0	0	0	1	0	0	0	0	0	0	0	0	1	0	2	0	1	0	1
0	2	0	0	1	0	0	1	1	0	1	0	1	0	1	1	0	0	1	1	1	1	0	0	0	1	0	0	0	0	2	0	0	2	1	0	2	1	1	0	0	1	0	1	1	0	1	0	1	1	0	1	0	1	1	0	0	0	0	1	2	0	0	2	0	1	0	0	0	1	1	0	1	0	0	1	0	1	0	1	0	1	1	0	0	2	1	1	1	2	0	1	0	0	1	1	0	0	0	0	1
1	1	0	0	1	0	0	1	1	0	1	2	0	0	1	2	0	0	0	1	1	2	0	0	1	0	0	0	2	0	0	1	0	0	1	0	0	2	0	0	0	0	1	1	1	0	0	1	0	2	1	0	2	1	0	1	2	0	1	0	0	0	0	0	0	2	1	0	0	1	0	0	1	0	1	1	0	2	1	0	0	1	1	1	0	0	0	2	0	0	0	1	0	0	1	1	0	0	0	0	1
2	0	0	1	0	0	0	0	1	0	0	0	0	0	0	1	0	1	0	1	0	0	0	1	0	0	1	0	1	0	1	1	1	1	0	0	2	0	1	0	0	0	1	1	2	0	0	1	0	0	0	0	0	0	1	1	0	1	1	1	0	0	0	0	0	0	2	0	0	1	1	1	0	1	1	2	2	2	0	0	0	0	1	0	1	2	0	1	2	0	1	1	0	1	1	0	1	1	0	1	1
0	0	0	1	0	2	1	0	0	1	1	2	0	0	0	1	0	1	2	0	1	1	0	1	1	1	0	1	1	1	0	0	0	2	0	0	2	0	1	0	0	0	0	1	1	1	0	1	0	0	0	0	1	0	1	1	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	1	1	0	2	0	0	0	0	0	0	1	0	0	0	1	2	0	0	1	0	0	0	1	1	0	1	1	0	0	1
0	0	0	1	0	0	1	1	0	1	0	2	0	1	0	1	0	0	1	1	0	1	0	2	0	0	0	1	1	0	1	0	0	0	2	1	1	1	0	0	0	0	0	0	1	0	1	1	1	1	0	0	1	1	1	1	0	1	0	1	1	0	0	0	1	0	2	0	0	1	0	1	1	0	0	2	0	2	0	1	0	0	0	1	0	0	2	1	1	1	0	1	0	1	1	1	0	1	0	0	1
1	0	0	1	0	1	0	1	0	1	1	0	0	1	0	0	0	0	0	1	1	2	0	0	0	2	0	0	1	0	1	1	0	2	0	0	1	0	1	0	1	1	1	1	1	1	1	2	0	0	1	1	0	1	1	0	0	0	0	0	0	0	0	1	1	0	1	0	0	1	1	1	0	1	0	2	0	2	1	1	0	2	0	1	0	2	2	0	0	0	0	0	0	0	0	0	1	0	0	0	1
1	1	0	1	0	0	0	2	0	0	2	2	0	0	0	1	0	0	0	0	1	2	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	2	1	1	1	1	0	2	0	0	2	0	0	1	0	1	0	1	0	0	1	1	0	0	1	1	1	1	0	0	1	1	1	0	0	0	1	1	2	1	0	1	1	1	1	0	1	0	1	0	0	0	1	0	2	1	2	2	1	0	0	1
0	0	1	1	0	0	0	0	0	2	0	0	1	0	1	1	0	1	1	1	1	1	0	0	2	1	1	0	0	1	1	0	1	2	0	0	0	1	0	0	0	1	1	0	1	1	0	1	0	2	0	1	0	1	2	1	1	0	0	1	2	0	0	0	0	2	1	0	0	1	1	1	0	1	1	2	1	0	0	2	1	1	0	1	0	1	1	0	0	1	0	0	0	0	1	1	1	0	0	0	1
1	0	0	1	1	0	0	1	1	0	1	1	2	0	1	1	0	1	1	0	0	1	1	0	0	0	0	0	0	0	0	0	1	2	0	0	2	0	1	1	1	2	1	1	2	0	0	0	0	1	0	0	1	1	1	1	2	0	1	1	1	0	0	0	0	1	1	0	0	1	0	2	1	0	0	2	0	1	0	1	0	0	1	1	0	1	1	1	1	0	0	0	0	1	2	0	0	0	0	0	1
0	1	1	1	0	0	0	0	0	1	1	2	0	0	1	2	0	1	1	1	0	2	0	2	0	1	0	0	0	0	1	0	0	1	0	0	1	1	0	0	1	0	1	1	2	0	0	0	0	0	0	0	0	1	1	1	2	0	0	0	2	0	0	0	1	2	1	0	2	1	0	1	0	1	0	2	2	0	1	0	0	1	0	1	0	1	2	2	2	0	0	0	0	1	1	0	0	0	0	0	1
0	1	0	1	1	1	0	1	0	1	0	1	2	1	0	0	0	0	1	0	1	1	0	0	0	1	0	0	1	1	0	2	0	0	0	0	2	1	0	0	1	1	0	2	1	0	0	1	0	0	0	1	0	1	1	1	0	0	0	0	0	0	0	1	1	1	1	0	0	2	0	2	0	1	0	2	1	1	0	0	0	1	0	0	0	0	1	2	2	0	1	0	0	1	2	1	0	0	0	1	1
0	1	0	0	0	0	0	1	0	0	1	1	1	0	0	1	1	1	1	1	2	2	0	1	0	0	1	0	0	0	0	1	0	2	0	0	1	1	1	0	0	1	0	0	1	0	0	2	0	0	0	0	0	0	1	2	2	0	0	1	0	0	0	1	1	1	0	0	0	0	0	0	1	0	0	1	0	0	0	1	0	1	1	1	1	1	1	0	1	0	1	0	0	0	1	1	2	1	0	0	1
0	0	0	1	0	0	0	0	0	0	1	2	1	1	0	1	0	2	0	2	0	1	0	2	1	1	1	0	0	0	1	0	0	1	0	0	1	0	2	0	0	1	1	0	1	2	0	1	1	0	1	0	1	0	1	0	1	0	0	0	2	0	1	0	0	1	1	0	0	0	0	1	0	1	1	0	0	2	1	2	0	0	0	0	0	1	1	1	2	0	0	2	0	0	0	1	0	0	2	0	1
0	2	0	1	1	0	0	0	1	1	0	2	0	1	1	2	0	1	0	1	1	2	0	1	1	0	0	0	1	1	0	0	1	2	1	0	1	1	0	0	0	1	0	2	1	0	0	0	0	2	0	1	0	1	2	1	0	0	0	1	1	0	0	0	0	0	1	0	0	0	0	1	0	1	0	1	0	0	0	0	0	0	0	0	0	1	2	0	0	1	0	0	0	0	0	0	0	1	0	0	1
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0	1	0	0	0	1	1	1	0	1	1	2	0	1	0	2	0	1	0	1	0	2	1	1	1	2	1	0	1	0	0	0	0	0	2	1	0	1	1	1	2	2	0	0	2	0	0	0	0	0	0	1	1	1	1	1	1	0	0	0	0	0	0	0	0	1	1	0	0	0	1	1	2	0	0	1	0	1	0	0	0	1	1	1	0	1	2	1	0	0	1	1	0	1	1	0	0	1	1	0	1
1	2	0	0	0	0	1	0	0	1	1	1	0	0	0	1	1	1	0	0	0	1	0	0	1	1	0	0	1	2	0	1	1	1	0	0	2	1	0	1	0	1	1	0	0	0	0	0	0	1	0	1	1	1	1	1	1	0	0	0	1	0	1	0	0	1	0	0	0	0	0	0	2	0	0	1	2	1	0	0	0	0	0	1	0	1	1	0	0	0	1	1	0	0	0	1	0	2	1	1	1
0	1	0	0	1	0	0	0	0	0	1	0	0	1	0	2	0	0	1	0	2	1	0	0	1	0	0	0	2	0	1	0	0	1	2	0	1	0	0	0	0	1	0	1	0	0	0	1	1	1	1	0	0	0	1	2	2	0	0	1	1	0	0	0	0	1	0	0	0	0	0	0	2	1	0	2	1	2	0	0	1	0	0	0	0	1	2	1	1	0	0	0	0	2	1	0	2	0	0	1	1
0	0	0	0	0	0	0	2	1	0	1	0	0	1	0	1	0	0	1	1	1	1	0	0	1	0	2	1	1	0	0	0	2	1	0	0	0	0	0	0	0	1	1	1	2	1	0	0	0	0	1	1	0	0	1	1	2	1	0	1	0	0	2	0	0	1	1	1	1	1	0	2	0	1	0	2	0	0	0	1	0	1	1	1	0	1	1	2	0	1	1	0	0	0	1	0	1	0	0	0	1
1	0	0	1	0	0	0	1	1	1	1	1	1	1	0	1	0	1	2	0	1	0	0	0	0	0	1	0	1	1	0	1	0	1	1	0	1	1	1	1	0	1	2	1	1	0	0	1	1	1	0	1	1	1	1	0	0	0	0	1	1	0	0	1	0	1	1	0	0	1	0	0	0	2	1	1	0	2	0	1	1	0	0	0	1	0	0	2	1	1	0	1	0	0	2	0	1	0	0	0	1
0	1	0	1	0	0	0	0	1	0	1	1	1	1	0	2	0	0	1	1	0	2	0	0	1	1	0	0	2	0	0	0	2	0	1	0	0	0	1	0	1	1	1	1	1	0	1	0	0	0	1	0	0	0	0	1	1	0	1	0	1	0	0	1	1	2	2	0	0	1	1	2	0	0	1	1	1	1	1	1	0	1	0	0	0	2	2	0	1	0	0	0	0	2	0	0	0	0	0	0	1
0	2	0	1	1	0	1	0	0	0	0	2	0	0	2	2	0	1	1	1	0	1	0	1	1	0	0	0	0	1	0	0	0	2	2	0	1	0	0	0	1	2	1	2	0	1	0	1	0	1	1	1	2	1	1	2	1	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	1	1	1	1	0	0	0	2	0	0	1	1	1	0	1	1	0	1	1	1	1	1	0	0	0
1	1	1	1	0	0	1	0	0	2	0	1	2	1	0	1	0	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	1	0	0	1	1	0	0	0	0	0	1	0	0	0	1	1	0	0	0	0	0	1	0	0	0	0	0	1	0	0	1	1	2	1	0	0	0	0	0	0	0	0	1	0	1	0	0	1	2	0	1	0	1	1	2	0	0	0	0	0	2	1	1	0	0	0	0	0
0	0	0	0	0	0	0	1	0	0	0	1	0	0	0	2	0	1	1	1	2	2	0	1	0	1	0	0	1	0	0	0	0	2	1	0	1	0	0	0	1	1	1	0	0	0	1	2	0	1	0	1	1	0	0	1	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	1	1	0	0	2	1	0	1	1	0	1	0	0	0	0	1	0	0	0	0	0	0	1	0	0	1	0	0	0	0
0	1	0	2	0	0	1	0	1	1	0	0	0	0	1	1	0	0	0	2	1	1	0	0	2	2	0	0	0	0	0	0	1	2	2	0	1	0	1	0	1	0	1	0	0	0	0	0	1	1	0	0	1	0	1	1	1	1	1	0	0	0	0	1	1	2	1	0	0	0	0	1	2	1	0	2	1	0	0	1	0	0	0	2	0	1	1	0	0	1	1	0	0	0	0	0	0	0	0	0	0
0	2	0	1	1	0	1	0	2	1	2	2	1	1	1	0	0	1	1	0	2	1	0	0	0	1	0	0	1	0	1	0	0	1	1	0	1	0	0	0	0	1	1	2	1	0	1	0	1	1	0	1	2	0	1	1	1	1	0	0	1	0	0	0	0	0	1	1	0	0	0	0	1	0	0	2	0	1	0	2	0	0	0	1	0	1	0	1	0	0	0	2	0	0	1	0	0	1	0	0	0
0	0	0	1	0	1	0	0	0	1	0	1	0	0	0	2	0	1	0	1	1	2	0	0	0	0	2	0	0	0	1	1	0	1	0	0	0	1	0	0	1	2	1	1	0	0	1	2	0	1	0	1	1	1	1	2	1	1	0	0	0	0	0	0	1	1	2	0	0	1	0	1	0	0	1	1	2	2	0	0	0	1	0	0	0	0	1	1	1	1	1	0	0	0	0	0	1	0	0	0	0
0	0	0	1	0	0	1	0	0	1	0	0	1	0	1	1	1	0	0	0	0	1	0	0	1	0	0	1	0	1	0	1	0	1	2	0	1	0	0	0	1	1	0	1	0	0	0	0	0	1	0	0	2	1	1	1	1	0	0	1	0	0	0	0	0	0	2	0	0	1	0	2	0	0	0	0	2	2	0	0	0	0	2	2	0	0	1	0	0	0	0	0	0	1	1	0	2	0	0	0	0
0	0	0	1	0	1	0	0	1	1	0	0	0	0	0	1	0	1	0	2	1	2	0	0	0	0	0	2	0	0	1	0	0	0	0	0	0	1	0	0	0	1	0	1	1	0	0	1	0	1	0	0	1	1	0	0	1	0	0	1	0	0	0	0	0	0	1	0	0	0	0	1	2	0	1	0	1	0	0	0	0	0	0	2	1	1	2	0	1	0	0	0	0	2	2	0	1	1	0	0	0
0	0	0	1	0	1	0	0	1	1	0	0	0	0	2	0	0	0	0	2	2	1	0	0	0	0	1	1	1	1	0	1	1	2	0	0	0	0	2	0	0	1	0	1	2	0	0	1	0	1	1	1	0	0	1	1	2	0	0	1	1	0	0	0	0	2	1	0	0	0	0	1	1	0	0	1	1	1	0	1	0	0	1	1	0	0	1	1	2	0	0	0	0	2	1	0	0	0	0	0	0
0	0	1	0	0	0	0	0	0	0	0	0	2	2	0	1	1	1	0	2	2	1	0	1	0	0	0	1	1	1	1	1	0	1	1	0	1	0	0	0	2	0	0	1	0	1	0	1	0	1	0	0	1	1	2	1	1	1	1	0	2	0	0	0	0	0	2	0	0	1	1	1	0	0	0	0	0	0	0	0	0	1	1	0	0	2	1	1	0	1	1	1	0	0	0	0	1	1	0	0	0
1	0	0	1	0	1	0	0	0	0	0	0	1	1	0	0	0	1	1	2	1	1	0	1	2	0	0	1	0	1	0	1	1	0	1	1	2	1	0	0	0	2	1	1	2	1	0	1	0	2	2	1	0	2	2	0	1	0	0	1	0	0	0	1	0	1	2	0	0	1	1	2	1	0	0	1	1	1	0	1	0	1	0	1	0	1	1	2	1	0	1	0	0	1	1	0	2	1	0	0	0
0	1	0	0	0	1	0	1	0	2	0	0	1	0	1	0	0	1	1	1	0	2	0	0	1	0	0	0	0	0	0	1	0	2	0	1	1	1	0	0	0	0	1	1	2	0	0	1	0	0	1	0	2	1	2	1	2	0	0	0	2	0	2	1	0	1	1	0	0	0	0	1	1	1	1	2	2	1	1	1	0	1	0	1	0	0	0	1	1	0	1	0	0	0	1	1	1	1	0	1	0
0	1	0	1	1	1	0	1	2	0	0	0	0	0	1	1	1	0	1	2	1	2	0	1	1	0	0	2	0	1	0	1	0	0	0	0	1	2	0	0	0	2	1	1	1	0	0	0	0	0	0	0	1	0	1	1	1	0	0	1	0	0	0	0	1	0	1	0	0	0	1	0	0	0	0	1	0	1	0	2	0	0	2	1	1	0	1	1	1	0	0	1	0	1	1	0	1	1	0	0	0
0	1	0	0	1	0	0	0	0	1	2	0	0	0	0	1	0	0	0	2	1	0	0	0	0	1	0	0	1	0	1	0	0	1	1	0	0	0	1	1	1	0	0	2	1	1	1	1	0	1	0	1	0	0	1	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	1	1	0	1	0	1	1	0	0	0	0	1	0	1	0	0	1	1	0	0	1	0	0	0	1	0	2	1	0	0	0
0	0	1	0	0	0	2	0	0	2	1	2	0	1	0	2	1	0	1	1	1	1	0	2	1	1	0	0	0	0	0	1	0	1	0	0	0	0	1	0	1	0	2	0	1	0	0	0	0	0	0	0	1	2	2	0	0	0	0	0	0	0	0	1	2	1	0	0	0	0	0	1	0	0	1	1	1	0	0	1	1	1	0	0	0	1	2	1	0	1	0	1	0	1	1	0	2	0	0	0	0
0	1	0	2	1	1	0	0	1	0	1	0	0	1	0	0	0	1	0	1	0	1	0	1	0	2	0	0	2	1	1	0	1	1	1	1	1	2	0	0	0	0	0	2	2	0	0	2	0	0	1	0	1	0	0	0	0	0	0	1	1	0	0	0	1	1	1	0	0	1	0	0	0	0	0	0	1	0	0	0	0	2	0	1	0	1	1	2	1	1	0	0	0	2	1	0	1	1	1	0	0
0	1	0	1	0	0	0	0	0	2	1	2	0	1	0	2	0	1	0	1	0	2	0	0	2	1	0	1	0	0	0	1	0	1	0	0	2	0	1	0	1	1	0	1	1	0	1	1	0	2	0	1	1	0	0	1	0	0	1	0	0	0	0	0	0	0	1	0	0	1	0	0	0	1	0	1	0	1	0	0	0	1	1	0	0	0	1	0	0	1	0	0	0	1	0	0	0	1	0	0	0
0	1	0	2	0	0	0	1	1	1	0	1	1	1	0	1	0	1	0	0	0	1	0	0	0	0	0	0	2	0	0	1	0	1	1	0	0	1	0	0	0	0	0	1	2	1	0	0	0	0	1	0	0	0	1	2	1	0	0	0	2	0	0	0	0	0	0	0	0	0	1	0	0	1	0	0	1	0	1	1	0	2	0	1	0	1	2	2	0	0	0	0	0	0	0	2	1	0	0	0	0
1	1	0	1	0	0	1	0	1	0	0	1	1	0	0	2	0	2	0	0	2	1	0	0	0	2	1	0	1	0	1	0	1	0	2	0	1	1	2	0	1	1	1	1	1	0	1	1	0	0	0	1	0	0	2	0	1	1	0	0	1	0	0	0	2	1	0	1	0	0	1	0	1	0	0	0	1	1	0	1	0	1	1	0	1	0	1	0	1	0	1	0	0	0	1	1	1	0	0	0	0
0	0	1	2	1	2	0	0	0	1	2	2	0	1	1	1	0	1	1	2	1	1	0	1	0	0	0	0	0	1	1	1	1	0	1	0	0	2	0	0	0	1	1	1	1	1	0	1	1	1	1	0	2	1	2	2	2	0	1	0	0	0	0	1	1	1	0	0	0	1	1	1	1	1	0	0	0	1	1	1	0	2	2	1	0	1	1	2	2	0	0	0	1	1	2	0	2	0	0	0	0
1	1	0	0	0	0	1	0	1	1	0	1	1	1	1	2	1	1	1	1	1	0	0	1	0	0	1	0	2	1	0	1	0	2	1	1	1	1	0	0	1	1	0	1	1	1	0	0	0	0	0	0	2	1	1	1	1	0	0	1	0	0	1	2	1	2	1	0	0	0	0	1	1	0	0	1	2	2	0	1	0	0	1	1	0	1	1	1	0	0	0	1	0	1	0	0	1	0	0	0	0
0	1	0	0	0	0	0	1	0	1	1	1	2	1	0	0	0	1	0	0	1	0	0	0	0	1	1	0	0	1	1	1	0	0	2	0	2	1	0	0	0	2	1	0	0	0	1	0	0	0	0	0	0	0	2	1	1	0	0	0	1	0	0	0	0	0	1	0	0	1	0	0	0	0	0	1	1	0	0	1	0	2	0	1	0	0	1	1	0	0	1	0	0	1	0	0	0	0	0	0	0
0	0	0	1	0	0	0	0	1	2	1	1	1	0	0	1	1	1	0	1	0	1	0	1	1	0	0	0	0	1	0	0	0	1	0	0	2	0	0	0	0	1	1	2	0	1	0	0	0	1	1	0	1	0	1	1	0	1	0	0	0	0	0	1	0	0	2	0	0	0	0	1	0	0	0	2	2	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	1	1	1	1	0	0	0
0	1	1	0	1	0	1	1	2	1	1	2	1	0	0	1	1	0	2	2	1	2	0	0	0	1	0	0	0	1	0	1	0	0	0	1	2	1	0	1	0	1	1	1	1	0	0	1	0	1	0	1	0	0	2	0	0	0	0	0	0	0	0	0	1	2	1	0	0	1	1	1	0	0	1	2	0	1	0	2	0	0	1	0	0	1	1	2	1	1	0	0	0	0	0	1	2	0	0	0	0
0	1	0	0	1	0	0	0	0	0	1	1	0	1	1	2	0	0	1	0	0	1	1	1	1	0	0	0	0	0	0	1	1	0	2	0	2	1	0	0	0	1	1	1	1	0	1	2	0	0	0	0	0	0	1	1	1	0	0	0	1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	1	0	1	0	0	0	0	1	1	1	0	1	2	0	1	2	0	0	1	1	2	1	0	0	0
1	1	0	1	0	0	0	0	1	2	1	1	0	0	0	1	0	1	0	1	0	2	0	0	1	0	0	1	1	0	0	1	0	1	1	1	1	1	1	0	1	1	1	0	0	0	0	1	0	0	0	2	1	2	1	1	0	0	0	0	1	0	0	1	0	1	1	1	0	0	1	1	0	0	0	2	1	1	1	0	0	0	0	1	0	1	1	1	1	1	0	0	1	0	1	0	2	0	1	0	0
0	0	0	0	0	0	0	1	0	1	1	0	0	1	0	0	0	1	1	1	0	1	0	1	2	0	1	0	1	1	0	2	0	1	1	0	0	0	1	0	0	0	0	1	2	0	0	0	0	0	0	0	1	0	1	1	1	1	1	0	1	0	0	1	0	1	2	0	0	1	1	0	1	1	1	1	1	1	0	0	0	1	0	1	0	1	1	2	2	0	0	0	0	0	0	0	0	0	1	0	0
1	0	0	0	0	0	0	0	1	1	1	2	1	0	0	0	0	0	0	1	2	0	0	1	0	0	0	0	1	2	0	0	0	1	0	0	1	0	0	1	0	2	1	2	1	0	0	1	0	1	0	1	2	1	1	0	1	0	0	0	1	0	0	0	0	0	1	0	0	1	1	1	0	1	1	1	0	1	0	1	1	2	2	2	0	0	1	1	0	0	1	1	0	1	0	0	0	0	0	0	0
1	2	0	0	0	0	0	1	0	0	1	1	1	0	0	1	0	0	1	0	2	1	0	1	1	0	1	0	1	0	1	1	0	0	1	0	2	0	0	1	1	2	0	1	2	1	0	0	0	0	0	0	0	1	2	0	0	0	0	2	0	0	0	1	0	1	1	0	0	2	2	1	0	0	0	0	0	1	0	1	0	0	1	2	0	2	2	1	1	0	0	0	0	1	0	0	2	0	0	0	0
0	0	0	0	0	0	0	0	0	2	0	0	1	1	0	0	1	1	0	1	0	0	0	0	0	0	0	0	0	2	0	0	0	1	1	0	1	0	1	0	1	1	0	1	1	1	1	1	1	0	0	0	1	0	0	0	1	0	0	0	1	0	0	1	0	1	1	0	0	0	2	1	0	1	0	1	0	0	0	0	0	2	1	0	0	0	0	0	0	0	0	0	0	0	2	1	2	0	0	1	0
0	1	1	0	0	0	1	0	0	1	2	1	0	2	0	2	1	1	1	2	2	1	0	1	1	1	1	0	0	1	0	0	1	0	1	0	2	1	0	0	0	1	1	2	2	0	1	0	0	1	0	0	0	0	1	1	2	0	1	0	2	0	0	0	1	0	0	0	0	1	0	0	2	0	0	2	1	1	0	1	1	1	0	0	0	0	1	0	2	1	0	0	0	0	0	0	0	0	0	0	0
0	2	0	1	0	0	1	1	1	1	2	2	0	1	0	1	0	1	1	0	2	1	0	0	1	0	0	1	1	1	0	0	1	0	1	0	1	0	0	0	1	1	1	1	1	0	0	2	0	1	0	0	1	0	0	1	1	0	0	0	2	1	0	0	0	0	2	0	0	1	1	1	1	1	0	2	1	1	1	1	0	0	1	1	0	2	1	1	1	0	0	0	0	0	1	1	1	0	0	0	0
2	1	0	0	0	0	0	0	0	0	1	2	0	0	1	0	0	1	1	0	0	1	0	1	0	1	0	0	0	0	0	1	1	0	1	0	0	0	0	0	0	1	0	1	1	0	1	0	0	2	0	0	0	0	2	1	0	0	0	0	1	0	0	1	1	1	0	1	0	1	1	2	0	0	1	1	2	1	0	1	0	2	1	1	0	1	1	1	1	0	1	1	0	1	2	0	1	1	0	0	0
0	0	0	1	0	0	1	1	0	1	1	2	1	0	1	2	1	0	0	0	1	1	0	1	1	0	0	0	0	0	0	2	0	1	2	0	2	0	1	0	1	1	2	0	1	2	1	0	0	0	0	1	1	0	1	1	1	0	0	1	0	0	0	1	0	1	0	1	0	1	0	1	1	1	0	1	1	1	1	0	1	0	1	0	0	1	2	1	1	0	0	1	0	1	1	0	0	0	0	0	0
0	0	0	0	0	0	0	0	1	0	1	1	2	0	2	1	1	0	0	0	1	2	0	0	1	1	1	0	0	0	0	0	0	0	1	1	1	0	0	0	0	1	1	1	1	0	0	0	1	1	0	1	0	0	1	1	0	0	0	0	0	0	0	1	0	1	1	0	0	0	0	0	1	1	0	2	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	1	0	0	0	0	0	1	0
0	0	0	1	0	1	1	1	2	1	1	2	0	1	0	1	1	0	0	1	1	1	0	1	1	1	0	0	1	1	0	2	0	2	1	0	0	1	0	0	0	1	0	1	0	0	1	1	0	0	1	1	1	2	1	1	1	1	1	1	0	0	0	0	1	0	1	0	0	1	0	1	1	1	1	0	0	1	0	1	0	1	0	0	0	1	2	1	0	0	1	1	0	1	1	1	0	1	0	0	0
0	1	0	2	0	0	0	0	2	0	0	1	0	1	0	2	0	0	0	1	1	1	0	1	1	0	1	0	1	1	1	1	0	1	0	1	0	0	1	0	1	0	1	2	0	0	0	0	0	0	0	1	0	1	2	1	1	0	0	0	1	1	0	1	0	1	2	0	0	1	0	0	1	0	0	1	2	1	0	0	0	1	0	2	0	0	1	0	1	1	0	1	0	1	1	0	0	0	0	0	0
0	0	0	0	1	0	1	0	0	0	1	1	0	1	2	0	0	1	1	1	0	0	0	0	1	2	1	0	1	0	0	0	0	0	1	1	1	0	0	0	0	0	0	1	1	1	0	0	1	0	1	1	1	0	2	2	1	0	0	1	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	1	1	1	0	1	1	0	0	0	0	1	0	1	1	1	0	0	0	0	1	0	1	1	0	1	0
0	1	0	0	0	0	2	1	1	1	1	1	0	0	0	1	0	2	0	1	2	1	0	0	1	2	0	0	1	0	1	0	0	2	1	0	1	1	0	0	1	1	1	1	0	0	0	0	0	1	0	0	0	0	0	1	0	0	1	0	1	0	1	1	0	0	2	0	0	0	0	1	0	0	0	1	1	0	0	1	0	1	0	1	0	2	0	2	1	0	0	2	0	1	0	0	1	0	0	0	0
0	1	0	1	1	0	1	0	1	0	0	0	1	0	1	1	0	0	0	0	1	0	0	1	1	0	1	0	1	0	0	1	0	0	1	0	1	0	0	0	1	1	1	0	1	0	0	0	0	0	0	0	1	0	0	0	1	1	0	1	2	0	2	0	0	1	1	0	0	0	1	1	1	1	0	0	0	2	0	1	0	0	0	0	0	0	1	0	0	1	1	2	0	0	0	1	2	0	0	0	0
0	1	0	1	0	0	0	0	2	1	1	0	2	1	0	1	0	1	1	1	1	1	1	0	2	0	0	0	1	1	0	1	0	1	2	0	0	0	0	0	1	0	0	1	1	0	0	1	0	0	1	1	0	0	1	1	1	0	0	0	1	0	0	2	1	0	1	0	0	1	0	1	0	1	0	1	1	0	0	0	0	1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0
2	2	0	0	0	1	0	0	1	0	1	1	1	1	1	0	0	1	0	1	1	0	0	0	1	1	0	0	0	1	1	0	0	0	2	0	0	2	1	0	1	1	1	0	1	0	0	1	0	0	1	1	2	0	0	1	0	0	0	0	2	0	0	0	1	1	1	0	0	0	1	0	0	0	0	2	1	1	1	1	0	1	1	2	1	1	1	1	0	0	0	0	0	1	2	1	1	0	0	0	0
2	1	0	0	0	0	0	1	1	0	1	1	0	2	0	1	1	2	0	0	1	1	0	0	0	0	0	1	0	0	1	0	0	0	1	1	0	0	0	0	0	0	0	1	2	0	1	1	0	1	0	0	1	0	0	1	2	0	0	0	0	0	0	0	1	1	1	0	0	1	0	1	1	1	0	0	0	0	1	0	1	1	0	1	0	1	0	1	1	0	1	0	0	1	1	0	0	1	0	0	0
0	1	0	1	1	0	1	2	0	0	2	0	0	0	0	0	0	2	0	2	2	1	0	0	1	0	0	1	1	0	0	0	0	2	0	1	1	1	0	0	1	0	1	1	1	0	1	0	0	1	1	0	0	0	1	2	1	0	0	2	0	0	0	0	1	1	2	0	0	0	0	0	0	0	0	0	1	2	0	0	0	2	0	1	0	2	1	1	1	1	1	0	0	0	1	0	1	0	0	1	0
0	1	0	0	1	0	0	0	1	0	0	2	1	1	0	1	1	1	0	1	1	1	0	1	1	0	0	0	1	0	1	1	0	1	0	0	1	0	0	0	0	0	1	1	0	0	1	0	0	0	0	0	1	1	0	1	1	1	0	1	0	0	0	0	0	1	1	0	0	2	1	2	1	1	0	1	0	2	0	0	0	0	0	1	0	1	1	1	0	0	0	0	0	0	0	0	1	0	0	0	0
0	2	0	0	0	0	1	0	1	2	2	0	1	1	0	0	1	1	0	2	0	0	0	0	0	0	1	0	1	0	0	0	0	2	1	0	0	1	1	0	0	0	0	1	1	0	0	1	0	1	2	0	1	1	1	0	0	0	0	1	2	0	0	0	0	0	1	0	0	0	2	2	1	0	0	2	0	1	1	0	0	1	0	0	0	0	1	0	1	0	1	0	0	1	0	0	0	0	0	0	0
1	0	0	0	0	0	2	0	1	0	0	1	2	1	0	1	0	0	1	2	0	1	0	0	1	1	0	1	0	0	1	0	1	1	2	0	0	0	0	0	0	2	1	0	0	0	0	1	0	2	1	0	1	2	2	2	1	0	0	0	1	0	1	1	1	1	0	0	0	1	1	0	0	0	0	1	2	1	1	1	0	0	1	1	0	0	0	2	1	1	1	0	0	0	1	0	1	0	0	0	0
0	2	0	0	0	0	0	1	0	0	0	1	1	1	2	1	1	0	1	1	1	0	0	0	0	0	0	0	0	0	2	0	0	1	1	0	2	2	0	1	0	0	1	0	1	1	0	0	0	0	0	0	0	1	1	1	2	0	0	0	0	0	0	1	0	0	0	0	0	0	1	0	1	0	0	2	0	0	2	1	0	1	0	1	0	2	1	1	0	0	0	0	0	1	1	0	0	2	0	0	0
0	1	1	1	0	0	0	0	2	0	0	0	0	1	0	2	0	1	0	0	2	1	0	0	1	0	1	0	1	0	1	1	1	1	1	0	2	0	0	0	0	2	0	1	1	0	0	2	0	0	0	1	2	1	2	1	1	0	0	0	0	0	0	0	1	0	0	0	0	1	0	1	0	0	0	0	1	1	1	1	0	1	0	1	0	0	0	0	1	0	1	0	0	2	1	0	2	0	0	0	0
0	0	0	1	2	1	0	0	1	1	0	1	1	1	0	1	0	0	1	1	0	2	0	1	1	1	0	0	0	0	0	0	1	0	1	0	0	1	0	0	1	0	1	1	1	0	0	0	0	0	0	0	0	0	2	0	1	0	0	1	0	1	0	1	0	0	1	1	0	1	0	0	1	0	2	1	2	1	0	1	0	0	0	0	0	0	1	2	1	1	0	1	0	1	1	1	1	1	0	0	0
0	1	1	0	0	0	0	0	0	0	1	1	1	0	0	2	1	1	0	1	1	1	0	0	1	1	0	0	2	1	0	1	2	1	0	0	2	0	0	0	0	1	2	1	0	0	1	0	0	0	0	1	0	1	2	1	1	0	0	0	1	0	0	1	0	1	1	0	0	1	1	1	2	0	0	0	1	0	1	0	0	0	0	0	0	0	1	1	0	1	0	0	0	0	2	0	0	0	0	1	0
1	1	0	0	0	1	0	0	0	0	1	0	1	1	1	1	0	1	0	2	1	1	1	1	0	0	0	1	0	0	1	1	1	1	1	0	1	0	0	1	0	0	1	0	2	1	1	0	0	1	0	1	1	1	1	0	0	1	1	1	2	0	0	0	1	1	1	0	0	0	0	1	2	2	0	2	0	0	1	1	0	0	1	2	1	0	1	1	0	1	2	0	0	2	0	2	1	1	0	0	0
0	1	0	0	1	0	1	0	0	0	1	1	0	2	0	0	0	1	0	0	1	1	0	1	2	0	1	1	0	0	2	1	1	0	0	0	1	0	0	0	1	2	1	1	1	0	0	1	1	2	0	0	0	0	1	1	2	0	0	0	1	0	0	0	1	2	0	0	1	1	0	1	0	2	0	2	0	2	0	1	0	0	0	0	0	0	1	1	2	0	0	1	0	0	1	0	1	1	0	0	0
0	0	0	0	0	0	1	0	0	1	0	1	0	1	1	1	1	1	1	1	0	2	0	2	2	2	1	0	0	1	1	1	0	1	1	0	0	0	1	0	1	1	0	1	1	0	0	1	1	1	0	0	2	0	2	1	2	0	0	1	2	0	0	0	1	0	0	0	0	1	0	1	1	0	1	0	1	0	0	1	1	2	1	0	0	1	1	0	0	0	0	0	0	1	1	0	1	1	0	0	0
0	0	0	2	0	0	0	0	2	1	1	1	0	0	1	2	0	2	1	0	1	1	0	1	0	1	0	0	0	0	1	1	0	2	0	0	1	1	0	0	0	2	1	0	2	0	1	1	0	1	0	0	0	2	0	1	0	0	0	1	2	0	0	0	0	2	0	0	0	1	0	1	1	0	0	2	0	0	0	1	0	1	0	1	0	1	1	1	1	1	0	0	0	2	2	1	2	0	0	0	0
0	2	1	1	0	2	0	1	1	0	0	1	2	0	0	1	2	1	1	1	1	0	0	0	1	0	0	0	1	0	0	1	0	1	1	0	1	1	0	0	0	0	2	1	2	0	0	1	0	1	0	0	0	0	2	1	0	0	0	0	1	0	1	1	1	1	0	0	0	0	0	1	0	1	0	1	1	0	0	1	0	1	0	0	0	1	0	1	1	1	1	0	0	0	0	0	1	0	1	0	0
0	0	1	0	0	0	0	0	2	1	0	0	0	0	0	2	0	1	0	1	0	1	1	1	1	0	1	1	1	1	1	1	0	0	1	0	0	1	1	0	1	0	0	0	1	0	0	0	0	1	0	1	0	1	0	1	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	1	1	0	1	0	0	1	0	0	0	2	0	0	0	1	1	0	1	1	1	0	0	1	1	1	0	0	0	1	0
0	1	0	0	0	1	0	0	0	1	0	1	0	1	0	2	0	1	1	1	2	1	0	0	2	0	0	0	0	2	1	1	0	1	0	2	0	1	0	0	0	1	1	2	0	0	1	1	0	1	1	1	1	1	0	1	0	0	0	0	2	0	0	0	0	0	1	0	0	1	1	0	0	0	0	1	1	0	1	1	0	0	0	1	0	0	1	1	1	0	0	1	0	0	1	0	2	0	0	0	0
0	1	0	0	1	0	1	1	1	0	1	2	0	1	0	1	0	0	1	0	1	1	0	0	0	0	1	0	1	1	0	1	0	1	0	0	1	0	0	0	0	2	1	0	0	0	0	2	0	1	0	1	1	1	2	0	2	0	1	1	0	0	0	0	1	1	2	0	0	0	1	1	0	0	0	0	0	1	1	0	0	1	0	2	1	1	1	0	2	1	0	1	0	0	0	1	0	0	0	0	0
2	1	0	2	0	0	0	1	0	1	1	2	0	1	0	1	0	1	0	1	1	1	0	0	1	1	2	0	2	0	1	1	1	1	0	0	2	0	0	0	0	0	0	2	0	1	2	0	1	1	0	0	1	0	1	0	1	0	0	1	1	0	0	0	1	0	1	0	0	0	0	1	0	0	0	1	1	1	2	0	0	0	1	0	0	1	1	0	1	1	0	0	0	1	2	0	1	0	1	0	0
0	2	0	0	0	1	0	1	0	1	1	0	1	1	2	1	0	0	0	0	1	0	0	1	1	1	0	0	0	1	0	1	1	1	1	1	0	1	0	0	0	0	1	2	1	1	0	1	0	1	0	0	2	0	0	1	1	0	0	0	1	0	1	0	0	0	1	0	0	0	0	0	0	1	0	1	1	0	1	1	0	1	0	1	0	1	0	0	0	1	0	0	0	0	1	0	0	0	0	0	0
0	0	0	0	0	0	0	1	1	0	2	1	1	0	0	1	0	1	1	0	1	1	0	0	0	0	1	0	0	1	1	0	0	1	0	0	0	0	0	0	1	2	1	1	0	0	0	0	0	1	0	1	1	0	1	1	2	0	0	0	1	0	0	2	0	0	1	0	0	0	1	1	2	0	0	1	0	0	1	1	0	0	0	1	0	1	0	2	1	1	0	0	0	0	0	1	2	0	0	0	0
0	0	0	2	0	0	0	0	1	1	0	2	0	0	0	0	1	1	1	1	1	1	0	1	1	0	0	0	0	1	0	1	0	1	2	0	1	0	0	0	0	1	1	1	2	0	0	1	1	1	0	0	0	0	2	0	1	0	0	0	1	0	0	0	0	1	1	0	0	0	0	0	1	1	0	1	1	2	1	1	0	1	1	2	0	1	2	0	1	1	0	0	0	1	1	0	1	2	0	0	0
0	1	1	1	2	2	0	0	0	0	1	1	0	0	0	1	1	0	0	0	0	1	0	0	1	0	0	0	1	0	0	0	1	0	2	0	2	0	1	0	1	2	2	1	2	0	0	1	0	2	0	0	1	0	2	0	1	1	0	0	0	0	0	0	0	1	1	0	0	1	1	1	2	0	0	0	1	1	0	1	1	1	1	1	0	2	0	0	1	0	0	0	0	0	0	0	2	1	0	0	0
0	1	0	1	0	0	0	0	2	0	0	1	0	1	0	0	1	0	0	1	0	1	0	1	0	0	0	0	1	0	1	0	1	0	0	0	0	0	0	1	2	1	2	1	1	0	0	1	0	0	0	1	1	1	1	1	0	0	0	0	1	0	0	1	0	1	0	0	0	1	1	0	0	0	0	1	1	2	0	1	0	0	0	0	0	1	1	1	0	1	0	0	0	0	1	0	1	0	1	0	0
0	1	0	1	0	0	1	1	1	1	2	2	0	1	0	0	0	0	1	1	1	1	0	1	1	0	0	0	0	0	1	0	0	2	1	1	1	0	0	0	1	1	0	1	1	0	0	0	0	1	0	0	1	0	2	2	2	0	1	1	1	0	0	0	0	1	0	0	0	0	0	1	0	0	0	2	1	2	1	0	0	0	0	0	0	1	2	1	2	0	0	0	1	1	0	1	1	0	0	0	0
0	2	0	0	0	0	0	1	0	1	0	0	1	2	0	0	0	1	0	1	1	1	0	1	0	1	0	0	1	0	0	0	1	1	2	0	1	1	0	0	0	1	0	1	1	1	0	0	0	1	0	1	0	1	1	1	0	0	0	1	0	0	0	1	1	0	1	0	0	1	0	0	1	0	0	2	0	1	1	0	2	1	1	0	0	1	1	1	1	0	0	0	0	0	1	0	1	0	0	0	0
0	0	0	1	0	0	1	0	2	0	0	0	0	0	0	1	1	2	2	0	0	1	0	2	0	0	1	1	1	0	2	0	0	2	0	0	1	0	0	0	1	1	0	0	0	0	0	1	1	1	0	1	1	1	1	2	1	1	1	2	1	0	0	0	2	1	0	0	0	0	1	1	0	0	1	2	0	1	1	1	0	1	0	0	1	0	0	0	0	1	1	1	0	0	1	0	1	0	0	0	0
0	0	1	1	0	0	0	0	0	0	1	1	0	1	0	1	1	0	1	0	0	0	0	0	0	1	0	0	0	0	1	0	0	2	1	0	2	0	0	1	0	1	1	1	1	1	0	1	0	1	0	0	0	2	1	0	1	1	0	1	2	0	0	0	1	1	0	1	0	0	1	0	0	0	0	0	2	2	1	0	0	1	0	0	0	0	1	2	1	1	0	0	0	1	1	0	2	0	0	1	0
0	0	1	1	0	0	0	0	0	0	1	1	2	0	0	1	0	2	0	2	1	2	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	1	1	1	1	0	0	1	0	0	0	0	1	1	1	2	1	0	0	1	1	0	0	0	0	2	1	0	0	1	0	1	1	1	1	1	0	1	1	0	0	1	0	0	1	0	0	0	1	1	0	0	0	1	0	0	1	2	0	0	0
0	1	0	0	1	0	0	0	1	0	1	1	1	1	0	1	0	0	0	1	0	0	0	0	1	1	0	0	0	0	0	2	0	1	1	0	1	1	0	0	0	1	0	0	1	0	0	1	1	1	1	1	1	1	1	0	1	0	0	1	1	0	0	0	0	0	2	0	0	0	0	1	1	0	0	1	2	1	1	0	0	0	0	0	0	2	0	2	1	1	0	0	0	0	0	2	1	2	0	0	0
0	0	0	1	0	0	0	1	0	0	1	0	0	1	0	1	2	2	0	2	2	1	0	1	0	0	0	0	0	0	1	1	0	0	1	1	1	2	1	1	1	1	0	1	1	0	1	1	0	1	0	1	1	0	1	0	1	1	0	1	2	0	0	0	0	1	2	0	0	1	2	0	1	0	1	2	1	1	0	1	0	0	0	0	0	1	0	0	0	0	0	1	0	2	0	1	2	0	0	0	0
0	1	1	0	0	1	0	1	1	0	1	0	0	0	1	0	1	0	0	1	0	1	0	1	1	0	1	1	1	0	1	0	0	1	1	0	1	1	0	0	1	0	0	2	1	1	1	1	1	0	0	0	0	1	1	0	1	0	0	0	1	0	2	0	0	1	1	0	0	0	0	1	1	1	1	0	0	1	0	1	0	0	0	0	0	0	1	2	1	1	0	0	0	0	0	0	1	0	0	0	0
0	1	0	1	0	1	1	1	1	1	1	2	1	0	1	1	1	0	0	0	1	1	0	1	0	1	0	0	0	1	0	2	0	2	1	0	1	0	0	1	0	2	1	1	1	0	0	0	0	1	0	0	0	0	1	1	0	0	0	0	0	0	1	0	0	1	1	0	0	0	0	1	1	0	0	1	0	1	0	0	0	1	0	2	0	1	1	0	1	0	0	0	0	1	1	1	0	0	0	0	0
0	1	1	0	0	1	1	0	1	2	0	1	1	0	1	0	1	1	2	0	0	1	0	0	2	1	1	0	0	0	0	0	0	1	0	1	2	1	2	0	0	1	2	1	2	0	0	0	1	1	1	0	1	0	2	1	1	0	0	1	0	0	0	0	0	1	0	1	0	0	0	1	0	0	0	1	0	1	1	0	0	1	1	0	0	1	2	1	0	0	0	0	0	2	1	0	0	0	0	0	0
0	0	0	0	0	0	0	0	1	0	1	1	2	0	0	2	0	0	0	1	1	2	0	0	1	1	0	1	0	1	1	0	0	1	2	0	1	1	0	0	0	1	0	1	1	0	0	0	0	1	1	0	0	2	0	0	2	0	0	1	1	0	0	0	0	1	0	0	0	1	1	1	0	0	0	1	0	0	1	1	0	2	0	0	1	1	0	1	1	0	0	1	0	0	1	1	0	0	0	0	0
1	0	0	1	1	0	1	1	0	0	1	1	1	0	0	1	0	1	1	1	1	1	0	0	1	1	0	0	1	1	1	2	1	0	1	0	0	0	0	0	0	1	1	1	0	2	1	0	0	2	0	0	0	0	0	1	0	0	1	0	1	1	0	1	0	0	0	0	0	0	1	0	0	0	0	0	0	1	1	1	0	0	0	0	0	1	0	2	0	0	0	0	0	0	0	0	0	0	0	1	0
0	1	0	0	0	0	0	1	0	0	1	2	0	0	1	1	0	0	0	1	1	1	0	0	1	0	1	0	2	0	1	2	0	0	0	1	2	1	0	0	2	2	1	1	2	0	0	0	1	1	0	0	0	1	2	1	2	0	0	1	1	0	0	0	0	1	1	0	1	0	0	0	2	0	1	1	1	2	0	1	0	0	1	1	0	1	1	2	0	2	0	1	0	1	1	0	2	1	0	0	0
0	0	0	0	1	0	1	1	1	1	0	2	0	0	1	0	0	1	0	1	1	2	0	0	2	1	1	0	0	0	1	1	0	0	1	0	0	2	0	0	0	1	1	1	1	0	0	1	0	1	0	0	1	0	0	1	0	0	0	0	2	0	0	0	1	1	2	0	0	2	0	1	1	0	0	1	1	1	0	1	0	2	0	0	0	0	0	2	1	0	1	1	0	0	1	1	0	0	0	0	0
0	0	0	0	0	0	1	0	1	1	1	1	0	0	0	0	0	1	0	2	2	1	0	0	0	0	1	0	0	0	1	0	0	0	1	0	1	2	0	0	0	0	0	0	0	0	0	1	0	0	1	0	2	1	2	0	0	0	0	0	2	0	0	1	1	1	0	0	0	0	1	1	0	0	0	0	1	2	1	0	0	1	0	0	0	1	2	1	1	0	0	0	0	1	1	0	0	0	0	0	0
0	1	0	0	0	0	1	0	0	0	0	1	0	1	0	2	1	0	0	1	1	0	0	1	1	1	0	0	0	1	1	0	0	2	1	0	1	1	0	0	0	1	0	1	0	0	0	0	0	1	1	0	1	0	2	0	2	1	0	0	1	0	1	0	0	2	0	0	0	0	1	0	1	0	0	2	0	2	0	0	0	2	0	2	0	1	0	1	0	1	0	0	0	2	0	0	0	1	0	0	0
0	2	1	1	1	0	0	0	0	1	0	2	0	2	0	0	0	1	1	1	0	1	0	0	1	0	0	0	1	1	0	1	1	2	0	0	0	0	0	0	1	0	0	0	1	0	0	0	0	1	0	2	1	1	1	0	0	1	0	1	1	0	0	0	1	0	0	0	1	2	0	1	0	1	1	2	1	1	0	0	0	0	0	2	1	2	2	0	2	0	1	0	0	0	1	0	0	1	0	0	0
1	1	0	1	1	0	0	0	0	0	2	2	1	1	0	1	1	2	0	0	1	1	0	0	0	0	1	1	1	0	0	1	1	2	2	1	2	0	0	0	0	1	2	2	1	1	0	0	0	0	0	0	0	2	1	2	0	0	0	0	1	0	0	1	0	0	0	0	0	2	1	1	0	0	0	1	1	1	0	0	0	2	0	1	0	0	0	0	1	1	0	0	0	0	1	0	0	0	0	0	0
0	1	0	1	1	0	1	0	1	1	2	1	0	0	1	1	0	0	0	0	1	1	0	1	1	1	0	0	1	0	0	0	0	1	1	0	1	1	0	0	0	1	1	1	1	0	0	1	0	1	0	0	0	0	1	1	0	0	1	0	0	0	0	0	0	2	1	1	0	0	1	2	2	1	0	0	0	0	1	1	0	1	1	0	0	1	0	2	0	2	0	1	0	1	0	0	1	1	0	0	0
0	2	0	0	0	0	0	0	2	1	0	1	1	1	0	2	0	2	1	1	0	2	0	1	1	0	0	1	1	0	0	1	1	1	1	0	1	1	0	0	0	1	2	0	1	1	1	1	1	1	0	1	2	1	1	1	1	0	0	1	1	0	0	1	0	1	2	0	0	1	0	0	1	0	1	1	1	2	1	1	0	1	1	1	0	1	1	0	0	1	1	1	0	0	0	1	1	0	0	0	0
0	2	0	1	0	0	0	1	1	0	0	2	1	2	0	1	0	1	1	2	1	1	0	1	2	0	0	0	0	0	0	0	0	0	1	0	2	1	1	0	1	1	0	1	1	0	0	2	0	0	1	1	2	1	1	0	2	0	0	1	1	0	0	1	1	0	2	0	0	1	0	0	0	0	0	1	1	0	1	0	0	1	0	1	0	1	2	1	1	0	0	0	0	1	1	1	2	0	0	0	0
0	0	0	1	0	1	0	0	0	0	0	1	1	0	0	1	0	1	0	0	1	2	0	1	1	1	1	0	0	1	1	1	0	1	1	0	0	0	2	0	2	1	0	1	2	0	1	1	1	1	0	0	1	2	0	1	2	2	1	1	0	0	1	0	1	0	1	0	0	0	0	0	1	0	0	1	1	0	0	1	0	1	0	1	0	0	1	0	0	1	0	1	0	0	1	0	0	0	0	0	0
1	2	0	1	0	0	0	0	1	1	1	2	0	1	0	1	1	1	0	1	1	2	0	2	0	0	1	0	1	0	0	0	0	1	2	1	2	0	1	0	0	0	0	1	0	1	0	0	1	0	2	0	0	1	1	0	1	0	2	0	2	0	0	0	0	0	2	0	0	1	0	0	2	0	0	1	1	0	0	0	0	1	0	0	0	1	2	1	2	0	2	0	0	0	1	1	2	0	0	0	0
0	1	0	0	0	1	0	1	2	1	0	1	0	0	0	0	0	2	2	1	0	0	0	1	1	0	0	1	0	0	0	1	0	1	1	0	1	0	0	0	1	1	1	1	2	0	0	1	0	0	1	1	0	0	1	0	1	0	0	0	2	0	0	0	0	0	1	1	0	2	1	0	2	0	0	1	1	0	0	0	0	1	1	0	1	2	0	1	1	1	0	0	0	0	1	0	1	0	0	0	0
1	1	0	1	1	2	0	1	1	0	0	1	0	1	0	1	0	0	1	0	2	1	0	1	1	0	0	0	0	1	0	1	1	1	1	0	2	0	1	0	1	2	1	1	1	1	0	1	1	1	0	1	0	0	1	1	0	0	0	1	0	0	0	1	1	1	2	1	0	0	1	1	1	0	0	1	2	0	0	0	1	0	0	1	0	1	0	1	1	0	0	2	0	0	1	1	0	1	0	0	0
0	1	1	2	0	0	0	1	1	0	1	1	0	2	0	1	0	1	0	1	1	2	0	1	0	1	0	0	2	0	1	1	0	0	2	1	2	0	0	0	0	0	1	1	0	0	1	1	0	0	0	0	1	0	0	0	0	1	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	1	0	0	0	1	0	0	0	2	0	0	1	0	1	0	2	0	1	0	0	1	0	1	1	1	0	1	0
0	2	0	1	0	0	2	1	1	2	1	1	0	0	0	1	0	1	1	1	1	1	0	0	1	1	0	0	0	1	0	0	2	0	2	0	2	0	1	0	0	2	0	1	1	0	0	1	0	2	0	0	1	1	2	1	0	0	0	0	0	0	0	0	1	1	1	0	0	1	0	1	1	1	0	2	1	1	0	0	1	2	1	0	0	1	1	0	2	1	0	0	0	1	1	1	1	1	0	0	0
0	1	1	1	1	1	0	1	0	1	1	1	0	1	0	0	0	0	0	1	0	1	0	0	1	0	0	1	0	1	2	1	0	1	0	0	2	1	1	0	1	2	1	0	0	0	1	1	0	2	0	0	1	1	0	1	2	0	1	0	1	0	1	0	1	0	0	0	0	2	0	2	0	0	0	0	1	0	0	0	0	1	0	0	0	0	2	1	1	1	1	0	0	0	1	0	1	0	0	0	0
0	2	0	0	0	0	1	1	0	0	0	0	0	0	0	1	1	0	2	2	1	2	0	0	0	1	0	0	0	0	1	1	1	0	2	1	0	1	0	0	1	1	0	1	2	0	1	0	1	0	0	1	1	1	0	1	1	1	1	0	1	0	0	1	1	0	1	0	0	0	1	0	1	0	0	1	0	1	1	1	0	0	0	1	1	1	1	1	0	2	0	1	0	2	0	0	1	0	0	0	0
0	1	0	0	1	0	0	0	1	0	0	0	0	2	0	1	0	0	0	0	2	1	0	1	2	0	0	0	0	0	0	2	1	1	0	0	1	1	0	0	0	1	2	1	1	0	0	1	0	0	0	1	1	1	0	1	0	0	1	0	0	0	1	0	1	1	1	0	0	0	1	2	1	0	0	0	2	2	0	0	0	0	2	0	0	1	1	1	0	1	0	0	0	0	1	1	0	0	0	0	0
0	0	0	0	1	0	0	0	0	0	1	1	1	1	1	0	0	0	1	1	0	0	2	1	1	1	0	1	1	0	0	1	0	1	1	1	1	1	0	0	0	0	1	1	1	0	1	0	0	1	0	0	0	0	0	0	1	1	0	0	1	0	1	0	1	1	2	0	0	1	0	1	0	0	1	1	0	2	0	2	0	0	0	2	0	1	1	1	0	0	0	0	0	0	0	0	1	0	0	0	0
0	1	0	0	1	0	0	1	1	1	1	1	1	1	0	0	0	1	1	1	1	0	0	0	0	0	0	0	0	1	0	1	0	2	0	1	2	2	0	0	2	2	2	2	0	0	0	0	0	0	1	0	0	0	2	1	1	0	0	1	2	0	0	0	0	1	0	0	0	1	0	0	1	1	1	2	1	2	0	0	0	1	0	1	0	1	0	0	1	0	0	0	0	1	1	0	2	0	0	0	0
0	1	0	2	1	0	0	1	0	2	1	2	1	0	0	2	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	1	1	0	0	0	2	0	0	1	0	0	1	1	1	0	2	0	0	0	1	0	1	1	2	2	0	0	0	0	1	0	0	0	0	2	1	0	0	1	0	1	0	0	0	0	1	2	0	1	1	1	1	0	0	0	1	1	2	0	0	1	0	1	1	1	0	1	0	0	0
0	0	0	1	1	0	2	0	0	0	0	1	0	0	1	1	0	0	0	2	2	1	0	0	1	1	0	0	1	0	1	0	1	0	1	0	0	1	0	0	1	0	0	1	0	0	0	1	0	0	0	0	0	2	2	1	0	1	0	0	1	0	0	1	0	0	1	0	0	2	0	0	0	0	1	0	1	1	2	1	0	2	1	2	0	1	1	0	1	0	0	0	0	0	1	0	0	0	0	0	0
0	2	0	1	0	0	1	0	1	1	1	1	2	1	0	1	1	0	0	0	1	1	0	1	0	0	1	0	1	0	1	2	0	2	1	0	1	1	0	0	1	1	0	1	1	1	0	0	0	1	0	0	0	1	1	1	1	0	0	1	0	1	0	0	1	1	0	0	0	0	0	1	1	0	1	0	0	0	0	0	0	1	0	1	0	0	2	0	1	0	0	1	0	2	1	0	0	0	0	0	0
0	1	0	0	0	0	0	0	1	1	2	0	1	1	1	2	0	0	0	2	0	0	0	1	1	1	0	1	2	0	1	1	0	1	1	1	0	1	1	1	0	1	2	1	1	0	0	1	1	0	0	0	0	0	1	1	2	0	0	1	1	0	1	0	0	1	0	0	0	1	2	0	1	0	1	1	0	0	1	0	0	0	0	1	0	1	2	2	0	0	1	0	0	2	0	1	2	0	0	0	0
0	0	0	0	1	0	0	0	0	0	1	0	1	0	0	1	0	1	0	1	0	1	0	0	1	0	0	1	2	2	0	0	0	1	0	0	1	0	1	0	1	0	0	1	0	0	1	1	0	0	0	0	0	1	1	2	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	2	0	1	0	2	1	0	0	1	0	0	0	1	0	0	2	0	2	0	2	2	0	0	1	0	0	0	0	0	0
0	0	0	1	0	0	1	1	0	0	1	0	1	0	0	1	0	0	1	1	1	1	0	0	0	0	0	0	0	0	1	0	1	1	0	1	2	1	1	0	1	1	1	1	1	0	0	2	0	2	0	0	0	2	2	1	0	0	0	0	0	0	0	0	0	0	1	0	0	1	2	0	0	0	0	1	0	1	1	0	0	0	1	0	0	0	1	2	1	0	0	0	0	1	1	1	0	2	0	0	0
0	1	0	1	0	0	0	0	1	1	0	1	0	1	0	2	1	1	0	0	1	0	0	0	0	0	0	0	0	1	0	0	0	1	0	0	0	2	0	0	0	1	1	0	0	0	0	0	0	1	0	1	0	1	1	1	0	0	1	0	1	0	0	0	1	1	0	1	0	1	0	2	0	0	1	2	1	0	0	0	0	0	1	0	0	1	1	0	1	0	0	0	0	1	1	1	1	1	0	0	0
0	0	0	1	1	1	0	1	0	0	0	1	0	0	0	1	0	1	1	1	0	1	0	0	0	1	1	0	0	0	1	0	0	0	1	1	0	2	0	1	0	1	1	1	0	0	0	0	0	1	0	1	0	0	1	0	1	0	0	0	0	0	0	0	1	0	2	1	0	1	1	0	2	0	0	1	1	1	0	0	0	0	1	2	0	0	1	0	0	0	0	0	0	0	1	0	1	1	0	0	0
0	1	0	1	1	0	1	0	0	1	0	0	0	0	0	0	0	1	1	1	1	1	0	2	1	0	1	0	0	1	0	1	0	1	1	1	0	0	0	0	1	0	1	0	1	0	0	0	0	0	0	1	1	0	1	1	0	0	0	0	1	0	0	1	0	0	1	0	0	0	0	1	1	1	1	0	1	0	1	0	0	1	0	2	0	2	1	0	1	0	0	0	0	1	1	0	1	1	0	0	0
0	0	0	0	0	1	0	0	0	0	2	0	1	1	0	2	0	0	0	0	0	0	0	1	1	1	0	0	0	1	1	1	1	1	2	1	1	2	0	0	1	1	0	1	0	1	1	0	0	1	0	1	0	0	2	0	2	0	1	0	1	0	0	0	0	2	1	0	0	1	1	1	0	1	0	1	1	0	0	1	0	0	0	1	0	1	0	0	1	0	0	0	1	0	1	1	0	0	0	0	0
0	0	1	0	0	0	0	0	1	1	2	0	0	0	0	1	0	1	2	2	2	2	0	1	0	0	0	0	0	0	0	2	1	1	2	0	1	2	0	0	1	1	0	1	1	0	0	1	0	1	0	0	2	1	1	0	1	1	0	0	0	0	0	0	0	1	0	0	0	2	0	1	1	0	0	1	1	0	1	1	1	0	0	1	0	0	2	0	1	1	1	0	0	0	0	0	1	0	0	0	0
0	2	0	0	1	0	0	1	1	1	0	1	1	1	1	1	0	1	0	0	1	0	0	0	1	1	0	2	0	1	1	1	0	0	0	0	0	0	1	0	1	1	1	1	1	0	1	0	1	1	0	1	0	0	1	2	1	0	1	1	1	0	0	1	0	1	2	1	0	0	0	1	1	0	2	1	1	1	2	1	0	0	1	1	0	1	1	0	0	1	0	0	0	1	2	0	1	2	0	0	0
0	0	0	0	0	0	0	0	1	1	1	1	1	1	0	0	0	0	0	1	2	0	1	0	1	0	0	0	1	0	0	0	0	1	0	0	0	1	1	0	1	0	0	0	1	0	0	1	0	1	0	1	0	0	0	1	0	0	0	1	1	1	1	0	1	2	1	1	0	0	1	1	0	1	0	0	1	0	0	0	0	0	0	1	0	1	2	2	1	0	0	0	0	0	0	1	1	0	0	0	0
2	2	0	1	0	0	2	1	0	1	1	0	0	2	0	0	0	0	1	1	0	0	1	0	2	1	0	0	1	2	1	0	1	2	0	0	1	0	1	0	0	0	1	2	1	1	0	1	0	0	0	0	1	0	1	0	0	0	0	0	1	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	1	1	1	0	0	0	1	1	0	0	2	1	2	0	0	0	0	1	0	0	0	1	0	0	0
1	2	0	1	1	0	1	0	0	1	0	0	0	1	1	1	0	1	0	1	1	0	0	1	0	1	0	0	1	0	1	1	1	1	0	0	0	1	2	0	0	0	0	2	1	0	0	1	0	1	1	0	1	1	0	1	1	0	0	0	0	0	0	0	1	2	1	0	0	0	0	0	0	0	0	1	1	2	1	0	0	1	1	1	0	2	1	2	0	0	1	0	0	0	1	0	2	0	0	0	0
1	1	0	1	0	0	0	1	0	1	0	0	1	0	1	1	1	2	1	2	0	2	0	0	2	0	0	0	1	0	0	1	1	0	1	1	2	0	0	0	2	1	1	1	1	1	1	1	1	2	1	0	1	1	0	0	2	0	0	1	0	0	0	1	0	1	0	0	0	0	1	1	0	1	0	1	0	0	1	1	0	1	0	1	0	2	0	1	1	0	0	0	0	0	1	1	0	0	0	0	0
1	1	0	1	1	0	0	0	1	1	1	1	0	0	0	1	1	2	1	2	1	1	0	0	0	0	0	0	1	0	0	0	0	1	1	0	2	0	2	0	1	1	0	0	1	0	0	1	0	2	0	0	1	1	0	1	1	1	1	0	1	0	1	0	0	0	0	0	0	0	1	1	1	0	2	0	1	0	0	1	0	1	0	1	0	0	1	1	0	1	0	0	0	0	0	0	0	0	0	0	0
0	0	0	1	0	0	0	0	1	0	1	2	0	0	1	1	0	1	1	0	0	0	0	2	2	2	0	1	1	2	0	0	0	0	1	0	1	0	1	0	0	1	1	1	0	0	0	1	1	0	0	0	2	1	1	2	0	0	0	1	1	0	1	1	1	1	1	1	0	0	0	0	0	0	2	1	2	1	0	1	0	0	0	0	0	2	1	0	0	0	0	0	0	0	0	0	1	0	1	0	0
0	1	0	1	0	0	1	0	0	2	0	1	0	1	0	0	0	1	0	2	0	1	0	1	0	1	0	1	0	1	0	0	0	2	2	1	2	0	0	0	0	0	0	0	2	0	0	1	1	2	1	0	1	1	0	1	1	0	0	0	1	0	0	1	0	2	1	0	0	2	0	0	1	0	0	1	0	1	1	0	0	0	1	0	0	1	2	0	0	1	1	0	0	0	1	1	1	1	1	0	0
0	1	0	2	0	0	1	0	1	0	0	0	1	1	1	2	0	1	1	2	1	0	0	1	1	0	0	1	1	0	0	1	0	2	1	0	0	1	0	1	1	2	0	1	0	0	1	0	0	0	1	0	1	0	1	0	1	0	1	0	1	0	0	0	0	1	1	1	0	0	0	1	1	0	1	1	1	0	0	0	0	0	0	1	0	1	1	1	0	1	0	0	0	1	0	0	1	0	0	0	0
1	0	0	1	0	0	1	0	0	1	2	1	0	1	0	2	1	1	1	1	0	2	0	2	0	0	1	0	1	2	1	0	2	2	1	0	1	0	0	0	1	0	1	2	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	1	0	0	0	1	2	2	1	0	1	0	0	1	0	0	1	2	0	0	1	0	0	2	1	1	1	0	0	0	1	1	1	0	1	1	1	0	0	0	0	0
0	1	0	2	2	1	0	1	0	1	0	1	0	2	0	1	0	1	0	1	1	1	0	0	0	0	0	1	1	0	0	0	0	2	0	0	1	0	0	0	1	1	2	1	1	0	1	1	0	2	1	0	1	1	0	1	0	0	0	0	1	0	0	1	1	1	0	0	0	0	0	0	0	1	1	0	1	1	1	0	0	1	0	1	0	1	0	1	0	0	0	0	0	0	2	1	2	0	0	0	0
0	0	0	0	0	0	0	0	0	0	2	1	1	0	0	2	0	1	0	0	0	1	0	1	0	1	0	1	0	1	0	2	0	1	1	0	0	1	1	0	1	0	0	1	1	2	1	0	1	2	1	0	0	0	2	0	0	0	0	0	1	0	0	0	0	2	1	0	0	0	0	0	0	0	1	1	1	2	1	0	1	1	1	0	0	2	0	1	0	1	0	2	1	0	1	1	1	0	0	0	0
2	1	1	1	0	0	0	1	0	0	1	1	1	0	0	2	0	1	1	2	0	1	0	1	1	0	0	0	0	2	1	2	0	1	2	0	1	0	1	0	1	1	1	0	1	0	0	1	1	1	0	1	1	0	0	1	1	0	0	1	1	0	0	1	0	0	1	0	0	2	1	1	0	0	0	0	0	1	0	1	0	1	1	0	0	1	2	0	1	0	1	0	0	0	1	0	0	0	0	0	0
0	1	0	1	0	0	0	1	1	0	1	1	0	0	0	1	0	0	0	1	0	1	0	1	2	1	0	0	1	0	2	1	0	0	0	0	1	0	1	0	0	0	1	1	1	0	0	0	1	2	0	0	2	0	0	1	2	0	0	0	1	0	0	0	0	0	1	0	0	0	0	2	2	1	0	0	0	1	0	0	0	1	0	1	0	0	2	1	0	0	0	0	0	0	0	0	1	1	0	0	0
1	1	0	1	0	0	1	0	0	1	0	0	0	1	0	1	0	1	1	0	0	0	0	1	0	1	0	0	0	0	1	0	0	2	0	0	1	1	0	0	1	1	2	1	0	0	0	0	0	0	0	1	0	2	1	2	1	0	1	0	0	0	1	0	1	1	1	0	0	0	0	1	0	0	1	1	0	1	0	1	0	1	0	1	0	0	2	2	0	0	1	0	0	1	0	0	1	0	0	0	0
1	0	0	0	0	0	1	1	0	1	1	0	1	0	1	2	1	2	1	1	0	2	1	1	0	0	0	0	2	2	0	1	1	1	2	0	0	1	1	1	0	1	0	1	1	0	0	1	0	1	1	0	0	0	1	2	1	0	0	1	0	0	0	0	0	2	1	1	0	1	0	1	0	0	1	1	1	1	0	0	0	1	0	0	0	1	2	1	2	1	0	1	0	0	0	0	1	0	0	1	0
1	1	0	0	0	0	0	1	1	0	2	0	2	0	0	1	2	2	0	1	2	2	0	1	0	0	0	0	0	1	0	2	1	0	2	0	1	0	0	0	1	1	1	2	1	0	1	1	0	0	0	0	1	0	1	0	1	1	0	0	1	0	0	0	1	2	2	0	0	1	1	0	2	0	1	0	1	1	0	0	0	1	0	2	0	2	0	1	1	0	0	0	0	0	0	0	2	1	0	0	0
0	1	0	1	0	0	0	0	1	1	1	2	0	2	1	2	0	0	2	1	0	2	0	0	2	1	0	0	2	1	1	0	0	1	0	0	1	0	0	0	1	1	1	0	1	1	0	2	0	0	0	1	1	0	0	0	0	1	0	0	1	0	0	1	1	0	2	0	0	1	1	0	1	0	1	1	1	1	1	0	1	0	0	1	0	2	2	0	1	0	0	2	0	0	1	0	2	0	0	1	0
0	0	0	1	0	0	1	0	1	1	2	2	1	1	1	0	0	1	0	1	2	1	0	0	0	1	1	0	0	1	1	0	0	2	0	0	0	0	0	0	0	1	0	1	1	0	1	0	1	1	1	1	0	0	1	2	2	0	0	1	1	0	1	0	0	1	1	0	0	0	1	1	0	0	0	1	1	0	0	0	0	1	0	0	0	2	0	1	1	0	0	1	0	0	0	1	1	1	0	0	0
0	1	0	0	0	0	0	0	2	1	1	1	1	1	0	0	0	1	2	2	1	0	0	2	0	0	0	0	0	1	1	0	0	2	0	0	0	0	0	0	0	1	1	2	0	0	0	1	0	0	0	0	1	1	0	1	1	0	1	1	1	0	0	0	1	2	0	0	0	0	0	1	1	0	0	0	0	1	1	0	0	1	0	2	0	2	1	0	1	0	1	0	0	0	0	0	1	1	0	0	0
0	0	0	0	0	2	0	1	0	2	0	2	1	2	0	1	1	1	1	1	1	1	0	0	0	1	0	0	1	0	0	1	1	2	1	0	1	0	0	0	2	0	0	0	1	0	0	1	1	1	0	1	0	2	1	2	0	0	0	1	1	0	0	0	0	1	0	1	0	0	0	0	1	0	0	1	1	1	0	0	0	2	1	0	0	1	1	1	1	0	1	0	0	0	0	1	2	0	0	0	0
1	0	0	0	0	0	0	0	1	1	0	2	0	1	0	0	0	0	1	0	1	1	0	0	0	1	0	0	0	1	2	2	0	1	0	0	1	2	0	0	1	1	0	1	0	1	0	0	1	1	1	0	1	1	1	0	1	0	0	0	0	0	1	0	0	1	0	0	0	1	0	1	0	0	0	1	2	1	0	1	0	2	0	0	0	1	1	1	2	0	0	0	0	0	1	0	2	0	0	0	0
0	0	0	2	1	0	0	0	0	0	0	1	0	0	1	0	0	0	1	0	0	1	0	2	2	1	0	0	0	0	1	0	0	1	0	0	0	0	1	0	0	2	1	0	1	0	2	0	0	1	0	1	0	0	2	0	2	0	0	0	1	0	0	0	0	1	1	0	1	0	1	1	1	1	0	1	0	1	2	1	0	1	0	1	1	0	2	2	2	0	0	0	0	0	1	0	0	0	0	0	0
0	1	0	0	1	0	0	1	1	0	0	0	1	0	0	0	0	0	1	0	2	1	0	1	0	0	0	0	0	0	0	2	0	0	2	1	0	1	0	0	1	0	2	1	2	0	0	1	1	1	0	0	0	0	1	1	0	0	0	1	0	0	0	0	0	1	0	1	0	0	0	1	1	0	0	0	0	0	2	0	0	0	0	2	0	2	1	1	0	0	0	0	0	1	0	1	1	1	0	1	0
1	0	0	0	1	0	0	0	2	0	0	0	0	1	1	0	0	0	2	2	1	1	1	1	0	1	0	0	1	0	1	0	0	0	1	1	2	0	0	0	2	1	0	0	1	0	0	0	0	1	0	1	0	2	1	2	1	0	0	1	1	0	0	0	0	2	0	0	1	0	1	1	1	0	0	1	2	1	1	1	0	2	1	0	0	0	2	2	2	1	1	0	0	1	1	0	2	0	0	0	0
0	2	0	0	0	0	2	0	0	0	1	1	0	0	0	0	0	2	1	1	1	1	0	1	1	1	0	0	1	1	0	0	0	0	1	0	1	0	0	0	0	1	0	0	1	1	0	2	0	0	1	0	0	0	1	0	1	0	1	0	1	0	0	0	0	0	2	0	0	1	1	0	0	1	0	2	1	0	1	2	1	1	0	2	0	0	0	0	0	1	0	1	0	0	1	0	1	1	0	0	0
0	1	2	0	0	2	0	0	2	1	0	1	2	1	1	2	0	1	0	1	0	0	0	0	1	0	0	1	1	0	1	0	1	1	0	1	1	2	0	0	1	0	1	2	0	0	1	0	1	1	1	0	0	0	1	1	1	0	0	1	0	0	0	1	0	1	2	1	0	0	1	1	0	0	0	0	1	1	0	0	0	0	0	2	0	2	1	0	0	0	1	0	0	2	0	1	1	1	0	0	0
0	0	1	0	1	1	2	0	1	1	0	0	0	2	1	2	0	1	0	1	0	1	0	2	1	0	0	0	1	1	1	1	0	0	2	0	1	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	2	0	1	0	0	2	1	0	0	0	0	2	1	1	0	0	2	2	1	0	0	1	0	1	0	0	0	0	0	2	0	2	0	0	1	1	0	1	0	0	1	0	0	1	0	0	0
0	1	0	1	0	0	0	0	1	1	0	1	0	1	0	1	0	1	0	1	2	1	1	0	1	0	1	1	0	0	1	1	1	2	2	0	1	0	0	0	0	1	1	0	0	1	0	0	0	0	0	1	0	0	1	0	0	1	1	0	0	0	0	0	0	2	2	0	0	1	1	1	0	1	0	1	1	1	0	0	0	1	0	0	0	0	1	1	1	0	1	0	0	1	0	0	2	0	0	0	0
1	1	0	1	0	0	1	0	0	1	1	2	0	0	1	1	0	1	0	1	1	0	0	0	1	0	1	0	0	0	2	0	1	1	2	0	0	1	1	0	1	1	1	0	0	0	1	0	0	0	0	1	2	1	1	0	1	0	0	1	1	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0	1	0	1	1	0	0	0	0	0	1	1	1	0	0	0	0	0	0	1	0	1	0	0	0	0
1	0	0	1	0	1	0	0	0	0	1	0	0	1	1	2	1	2	0	0	0	0	1	1	1	1	1	0	0	0	0	0	1	1	1	0	2	1	2	0	1	2	1	1	1	0	1	2	1	2	1	0	1	1	2	0	1	0	1	1	0	0	0	0	0	1	2	0	0	1	1	1	0	0	1	1	1	1	0	1	0	2	0	0	1	1	2	1	0	0	2	0	0	0	0	0	1	0	1	0	0
1	0	0	1	0	0	0	0	0	0	1	1	1	2	0	2	0	2	0	1	0	2	0	0	1	0	0	0	1	0	0	0	1	1	0	0	0	0	0	0	1	2	2	2	1	0	0	1	1	0	0	0	1	2	0	0	1	0	0	1	0	0	0	1	0	1	2	1	0	0	0	1	0	0	0	1	2	0	1	0	1	0	1	1	0	0	1	0	0	0	0	1	0	1	0	0	1	0	0	0	0
1	2	0	0	1	0	0	0	0	0	1	0	1	0	0	0	0	1	1	0	0	0	0	1	0	0	1	0	1	0	0	1	1	1	0	0	2	2	0	0	1	2	1	1	0	1	0	1	0	1	0	1	1	1	0	1	1	0	0	2	1	0	0	0	0	1	0	0	0	1	0	0	1	0	1	0	1	2	0	0	0	1	0	0	1	1	0	2	1	0	1	1	0	0	1	0	0	2	0	0	0
0	1	0	1	0	0	0	2	1	0	0	1	0	1	0	1	1	0	1	0	2	0	0	1	1	0	0	0	0	0	0	1	1	1	1	1	1	1	1	0	1	1	2	1	2	0	0	1	1	1	1	0	0	0	1	1	1	0	0	0	1	0	0	1	0	1	1	0	0	0	1	0	1	0	0	2	1	1	1	0	0	2	2	2	0	1	0	0	0	1	0	1	0	1	1	1	1	0	0	0	0
1	1	0	0	1	0	1	1	0	1	1	1	1	2	0	2	0	1	1	1	0	2	0	0	1	0	0	0	0	2	0	0	1	1	1	0	1	0	0	1	1	1	1	1	0	0	0	1	0	1	0	0	0	1	0	1	2	0	1	0	1	0	0	0	0	1	1	0	0	0	0	1	0	0	1	1	0	0	0	1	0	1	0	1	0	2	1	0	0	0	0	0	0	1	1	0	0	1	0	0	0
1	2	0	0	2	0	0	1	0	1	0	2	1	1	0	1	0	1	0	1	1	2	0	0	1	1	0	0	0	1	0	0	0	1	1	0	2	1	0	0	0	1	1	0	1	0	0	0	0	1	0	1	1	2	1	1	1	0	0	1	0	0	0	0	0	0	0	0	0	2	0	0	2	0	1	2	0	1	1	1	0	0	0	2	0	0	1	0	1	0	0	0	0	1	0	1	1	1	0	0	0
0	1	0	0	0	0	0	1	1	0	0	1	0	1	0	0	1	1	0	1	0	2	0	0	1	0	0	1	0	0	0	0	0	0	1	0	1	0	1	0	1	2	2	1	1	0	0	0	2	0	0	0	1	0	1	1	0	0	1	0	1	0	0	1	1	1	1	0	0	0	0	2	1	0	0	2	0	1	1	0	1	0	0	1	0	2	1	0	2	0	1	1	0	0	0	1	1	0	0	0	0
1	1	1	1	0	0	0	0	1	1	2	0	1	0	0	1	0	0	0	0	0	1	0	0	0	0	1	1	1	1	0	0	0	1	1	0	1	0	0	0	1	1	0	0	2	0	1	0	1	0	0	0	0	0	1	1	1	0	1	1	1	0	0	2	0	0	1	0	0	1	0	1	0	0	0	1	2	2	1	1	0	1	0	1	1	0	1	0	2	0	1	0	0	2	0	0	1	1	0	1	0
1	2	0	0	0	0	0	0	1	0	2	1	0	2	0	0	0	2	0	1	0	2	0	1	1	0	0	0	1	0	0	0	0	1	0	0	2	1	0	0	1	2	1	1	1	1	0	0	0	1	1	1	0	0	0	2	1	0	0	1	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	1	0	1	0	1	0	1	0	1	0	1	2	2	0	0	0	0	0	0	2	0	1	0	0	0	0
0	2	0	1	0	1	2	0	2	0	1	0	0	0	0	0	0	0	1	2	1	0	0	1	0	1	1	0	0	1	0	1	2	1	0	0	1	0	0	0	1	0	1	1	0	0	1	1	0	0	0	0	0	1	1	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	2	1	0	0	1	0	0	1	0	0	1	0	0	0	1	1	0	1	0	0	2	0	1	1	1	1	1	0	0	0
0	1	0	1	2	0	0	1	0	0	2	0	1	1	0	1	0	1	1	1	1	1	0	1	1	0	1	0	0	0	0	0	1	2	1	0	1	2	1	0	0	1	0	0	2	0	0	0	2	0	1	1	0	1	1	2	0	0	0	0	2	0	0	0	0	1	2	1	0	1	0	0	1	1	1	1	0	1	1	0	0	2	1	1	0	0	1	2	0	0	0	2	0	0	0	0	1	1	0	1	0
1	1	0	0	0	1	1	0	1	0	0	2	0	1	0	1	0	2	1	0	1	1	0	0	1	2	0	1	1	0	0	1	1	0	0	0	1	1	2	0	0	0	1	0	2	0	0	0	0	0	1	0	1	1	1	0	1	0	0	0	1	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	1	1	0	1	0	1	0	0	0	2	0	0	0	2	1	1	0	0	1	0	1	0	0	0	0
0	1	1	1	0	0	1	0	0	1	1	1	0	0	1	1	1	1	0	0	1	1	0	0	1	0	1	0	2	1	0	0	1	1	1	0	1	1	1	0	1	1	0	0	1	0	1	2	0	1	1	0	0	1	1	0	1	0	0	1	0	0	0	0	0	1	2	0	0	1	1	0	1	0	1	1	1	1	1	0	0	1	0	0	0	2	2	1	1	0	1	1	0	0	1	0	1	0	0	0	0
0	1	0	0	1	0	0	0	1	0	0	2	0	1	1	1	0	2	1	0	1	1	0	1	0	0	1	0	0	0	0	1	0	1	0	1	2	0	0	0	1	0	1	1	0	0	0	1	1	2	0	0	0	1	1	0	2	1	0	2	2	0	0	0	1	0	0	1	0	0	0	1	1	0	0	2	1	1	0	0	0	0	1	0	0	1	2	2	0	0	0	1	0	2	0	0	1	1	0	0	0
0	0	0	0	0	0	0	1	0	0	0	1	0	0	2	1	2	2	1	0	1	1	0	0	0	0	0	1	0	0	0	0	0	2	0	0	1	1	0	0	1	1	0	2	1	0	0	2	0	0	0	0	0	0	1	0	2	0	0	1	2	0	0	1	0	2	2	0	0	2	0	0	1	0	1	1	1	0	0	1	0	1	1	2	0	0	1	2	1	1	0	1	0	0	1	0	1	1	0	0	0
0	1	0	1	0	1	0	0	0	1	1	1	0	2	0	1	0	0	1	1	0	0	0	1	1	0	0	0	0	1	0	2	1	1	0	0	0	1	0	0	1	1	0	0	0	0	0	1	0	1	0	0	0	1	0	1	2	0	1	1	0	0	0	1	1	0	1	0	0	1	0	0	0	0	0	1	1	2	0	0	0	1	2	0	0	1	1	1	1	0	0	1	0	0	0	0	1	2	0	0	0
1	1	0	2	1	0	0	0	1	1	1	1	0	1	0	0	1	1	0	1	1	0	0	0	0	0	0	2	0	1	1	1	1	2	0	0	2	1	2	0	1	1	2	1	0	0	0	1	0	0	0	0	0	1	0	1	0	0	1	0	1	1	0	0	0	0	0	0	0	0	0	0	0	1	0	1	0	1	1	0	1	2	1	0	0	1	1	0	0	0	0	0	0	0	0	2	0	1	0	0	0
0	0	0	0	1	0	1	0	0	1	0	2	0	0	0	2	0	1	0	0	1	2	0	1	1	1	0	1	0	2	0	2	0	1	1	1	1	1	0	0	0	1	2	1	1	1	0	0	0	1	1	2	0	2	2	0	1	0	1	0	1	0	0	1	0	2	2	1	0	0	1	0	1	0	0	1	0	0	0	0	1	0	1	1	0	0	0	1	2	0	0	1	0	0	0	0	2	1	0	0	0
1	0	0	0	1	0	0	1	1	1	0	1	0	0	1	2	1	1	0	1	0	2	0	1	1	0	0	0	0	0	1	1	0	0	1	0	0	0	0	0	1	2	1	0	1	0	1	0	0	2	1	1	0	1	1	0	2	0	1	0	2	0	0	1	1	2	1	0	0	1	1	0	0	0	1	0	2	0	0	0	0	0	1	1	0	0	1	1	0	1	0	0	0	0	1	0	1	0	0	0	0
0	0	0	0	0	1	1	0	1	1	1	1	0	2	1	1	0	2	1	0	1	2	0	0	1	1	0	1	0	0	0	0	0	1	1	0	1	0	0	0	1	2	0	0	0	0	0	1	0	0	0	0	0	0	2	1	1	1	1	2	1	0	0	2	0	2	2	0	0	1	0	1	1	0	1	1	2	1	0	0	1	1	1	2	0	0	1	2	0	0	0	2	0	2	0	0	2	2	0	0	0
0	2	0	2	0	0	1	0	0	0	0	1	0	0	0	2	0	0	0	0	1	1	0	1	0	2	0	0	0	0	1	0	0	1	1	1	1	0	1	0	0	1	1	1	1	1	0	0	0	1	0	0	1	0	0	1	1	0	0	0	1	0	0	0	0	1	1	0	0	1	0	0	1	1	0	0	1	1	2	1	1	1	0	1	0	1	1	0	1	1	0	0	0	0	0	1	1	0	0	0	0
0	0	0	1	0	1	0	0	1	0	0	1	0	2	1	1	0	0	0	0	0	1	0	0	2	1	0	0	0	2	0	1	2	0	0	0	2	1	0	0	2	0	0	1	1	0	1	0	1	0	0	1	1	0	1	0	0	0	1	0	1	0	0	0	1	1	1	0	0	1	1	2	0	1	0	1	1	0	1	1	0	0	0	1	0	0	1	0	2	0	0	0	0	0	0	0	1	0	0	0	0
0	1	0	1	0	0	0	0	1	0	0	1	1	1	1	1	0	0	0	0	2	0	0	1	2	1	0	0	0	0	1	0	0	1	2	0	1	0	1	0	1	1	1	1	0	0	0	1	1	2	0	0	0	1	1	1	0	0	0	1	0	0	0	0	0	0	1	0	0	0	0	2	0	0	0	0	0	0	1	1	0	2	0	0	0	1	0	1	0	0	0	1	0	1	1	0	1	0	1	0	0
0	0	1	1	0	0	0	0	0	1	0	1	1	0	0	1	0	0	2	1	0	0	0	1	0	1	1	0	1	1	0	1	0	1	1	0	2	0	1	0	2	2	0	1	2	1	0	0	1	2	0	0	0	2	0	1	1	0	0	0	0	0	1	0	0	1	0	0	0	0	0	1	1	1	0	2	0	0	1	1	0	1	0	0	1	0	1	1	0	2	0	0	0	1	1	1	1	1	0	0	0
1	0	0	0	1	0	0	1	0	1	0	1	0	1	1	0	0	1	1	0	1	0	0	1	1	0	0	1	1	0	0	1	0	1	1	1	0	1	0	0	1	1	2	1	0	0	1	2	0	2	0	1	1	0	1	2	2	1	0	0	1	0	0	0	0	1	1	0	0	1	0	0	0	1	1	2	0	0	0	1	0	0	0	0	0	1	0	1	1	0	0	0	0	0	2	1	0	0	0	0	0
0	0	0	1	1	0	0	0	1	0	0	0	0	1	0	1	1	0	0	1	1	2	0	1	0	0	0	0	0	0	0	0	2	1	1	0	2	1	1	0	0	0	0	1	1	1	1	0	1	2	1	1	0	2	1	0	1	0	0	1	2	0	0	0	0	0	1	0	0	1	0	0	0	1	1	1	1	0	1	1	0	2	1	2	0	0	1	1	2	0	1	0	0	2	0	1	0	0	0	0	0
0	0	0	0	1	0	1	0	0	1	1	0	0	1	0	2	0	1	1	1	1	1	0	1	1	1	0	0	0	0	2	0	1	0	0	0	2	0	0	0	1	2	2	1	1	0	0	0	0	1	0	0	2	1	1	1	2	0	0	1	2	0	0	0	0	2	1	0	0	1	1	1	0	1	2	1	2	2	0	0	1	1	0	0	0	0	0	0	2	0	1	0	0	0	1	0	0	1	0	0	0
1	0	0	1	1	0	0	0	0	0	0	0	2	1	0	1	0	0	0	2	0	1	0	1	1	1	0	0	1	1	1	0	0	1	2	0	1	0	0	0	0	2	2	2	1	0	0	2	0	0	0	0	0	0	1	0	0	0	0	1	0	0	0	0	1	1	2	0	0	1	0	2	0	1	1	1	0	2	0	1	0	1	1	0	0	1	1	2	1	2	0	0	0	1	1	0	2	0	0	0	0
0	1	0	0	1	0	0	0	1	1	1	1	0	1	0	1	1	0	1	2	1	1	0	1	1	1	0	0	2	1	1	0	0	1	2	0	1	1	1	0	0	1	0	1	1	0	0	1	0	0	0	1	1	0	2	1	0	0	0	0	2	0	0	0	1	0	1	0	0	0	0	0	0	0	0	1	1	1	1	1	0	1	0	1	0	0	1	1	1	1	1	1	0	1	0	1	0	1	0	0	0
0	0	0	2	1	1	0	0	0	1	1	0	1	0	0	1	2	1	0	1	2	2	0	0	1	0	0	0	1	0	0	0	0	1	0	0	0	2	0	0	1	1	1	1	2	1	1	0	1	0	0	1	1	1	1	0	1	1	0	1	1	0	1	1	2	1	1	0	0	1	0	0	0	1	0	1	0	2	1	0	1	1	0	1	0	0	0	2	0	0	0	0	0	0	1	0	0	1	0	1	0
0	0	1	0	1	0	1	0	0	1	0	1	1	1	1	1	1	2	1	2	1	1	0	1	0	1	1	0	0	0	1	1	0	0	1	0	1	0	0	0	0	1	0	1	1	0	0	0	0	0	0	1	1	0	1	0	1	1	1	0	2	0	0	0	0	0	1	1	0	1	0	1	2	0	0	2	1	1	0	0	0	1	0	1	0	0	0	0	1	2	1	1	0	1	0	0	1	0	0	0	0
1	0	0	1	0	1	1	0	2	0	0	0	1	0	1	1	0	0	0	2	0	2	1	0	0	0	0	0	0	2	0	0	0	0	0	0	1	1	0	0	1	0	0	2	0	0	1	1	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	1	1	2	0	0	0	2	1	0	1	0	0	2	0	1	1	0	0	1	2	2	0	2	1	1	0	1	0	1	0	1	0	0	1	0	0	0	0
0	1	0	0	0	0	1	2	1	0	0	0	0	1	0	1	0	1	1	1	0	1	0	0	1	0	0	1	0	0	0	1	0	1	1	0	1	1	1	0	0	1	1	1	2	1	0	1	0	2	1	0	0	0	1	1	0	0	0	1	0	0	0	0	1	0	1	1	0	0	0	1	0	0	0	1	1	1	1	1	0	1	0	1	0	1	1	0	1	1	1	0	0	2	1	0	0	1	0	0	0
2	1	1	1	0	0	1	0	1	0	1	1	1	0	0	1	0	1	0	1	0	1	1	0	1	0	0	0	1	0	1	0	0	1	2	0	1	0	0	0	0	1	0	2	2	0	0	1	0	1	0	0	1	0	0	1	1	0	1	0	0	0	0	0	1	1	1	0	0	2	1	1	0	0	0	2	2	0	0	1	0	1	0	1	0	1	1	2	1	0	0	1	0	1	1	0	1	2	0	0	0
1	0	0	1	0	0	0	1	0	0	2	1	1	1	1	1	0	1	1	2	1	1	0	0	0	0	0	0	2	1	0	0	2	1	1	0	1	0	0	1	1	1	0	1	0	1	0	0	0	2	1	0	1	2	1	0	2	0	0	0	1	0	1	1	0	0	1	0	0	1	1	1	1	0	1	0	1	2	0	0	0	0	0	1	0	1	1	0	1	0	1	0	0	0	0	0	1	1	0	0	0
0	2	0	1	1	1	0	0	0	1	0	2	0	0	0	1	1	1	0	0	1	2	0	0	1	0	0	0	0	0	2	0	0	0	1	0	1	1	1	1	1	1	1	1	0	0	1	0	0	0	0	0	1	1	2	1	1	0	0	1	1	0	0	1	1	1	1	0	0	1	0	0	1	0	0	0	1	1	0	2	0	1	0	2	0	0	2	1	1	0	0	0	0	1	0	0	1	0	0	0	0
0	2	1	0	2	0	0	0	0	1	1	2	1	0	2	0	0	0	0	1	1	0	0	2	0	1	0	0	0	2	1	0	0	1	2	0	2	0	1	1	1	2	0	2	1	0	0	0	1	0	1	1	0	1	1	1	1	0	1	0	1	0	0	1	0	0	2	0	0	0	0	2	0	1	0	1	1	0	0	1	0	0	1	2	0	1	1	0	2	0	0	1	0	0	0	0	0	0	0	0	0
1	2	0	0	0	0	1	0	0	0	1	1	1	0	1	1	0	1	0	1	2	0	1	1	1	1	0	0	0	0	0	0	0	0	0	0	1	2	0	0	0	2	0	2	0	0	0	1	0	1	0	1	0	1	1	0	1	0	0	0	1	0	0	0	0	0	1	0	0	1	0	2	0	0	1	1	0	0	0	1	0	0	0	1	1	2	1	0	1	0	1	0	0	1	1	1	0	1	0	0	0
0	0	0	0	0	0	1	1	1	0	0	2	0	0	1	1	1	0	1	0	0	1	0	0	1	1	0	0	0	0	1	0	0	0	1	1	1	1	1	0	0	2	1	1	1	1	1	0	1	1	0	0	1	0	0	1	1	1	0	0	1	0	0	1	0	1	1	0	0	1	0	1	1	1	0	1	1	0	1	0	0	1	2	1	0	1	2	0	0	0	0	0	0	0	1	0	0	2	0	0	0
0	0	0	0	1	1	0	1	0	0	0	0	1	1	0	1	1	0	1	0	1	1	0	1	1	1	0	0	1	0	1	0	0	2	0	0	0	1	0	0	1	0	0	1	2	0	0	0	0	1	1	0	1	0	0	1	2	0	0	2	0	0	0	0	1	2	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	2	0	0	0	1	0	0	0	0	0	0	0	0	0	1	2	0	0	0	0
0	1	0	1	0	0	1	0	1	0	0	0	1	0	0	1	0	2	0	1	1	0	0	0	1	2	0	0	1	0	2	1	0	0	1	1	0	1	0	0	0	0	1	0	0	1	0	0	0	0	1	0	1	2	1	0	0	1	0	0	1	0	0	1	0	1	1	0	0	1	0	1	0	1	0	1	0	2	1	1	1	1	0	1	0	0	2	1	2	0	0	0	0	0	0	1	1	1	0	0	0
1	0	1	0	1	0	1	0	1	0	0	0	0	1	1	1	1	1	2	1	0	1	0	0	0	0	1	0	0	0	0	0	1	1	1	0	2	1	0	0	1	1	0	1	1	0	0	1	0	1	1	0	1	1	1	1	1	0	1	0	0	0	0	0	0	1	2	0	0	0	0	2	1	1	0	1	0	1	0	0	0	0	1	0	0	1	1	0	0	0	0	0	0	1	1	1	1	1	0	0	0
1	2	0	0	0	0	1	0	1	0	0	1	0	1	1	1	0	1	1	0	1	1	0	1	1	0	0	1	0	0	0	0	0	1	1	0	0	1	0	0	0	0	1	1	0	0	0	1	0	1	0	0	0	0	1	1	2	0	1	1	1	0	0	1	1	1	0	0	0	0	1	0	1	0	1	0	0	1	1	0	0	2	0	1	0	0	2	0	1	0	0	1	0	1	0	0	2	0	0	0	0
0	0	1	0	0	0	0	0	1	1	0	0	0	0	0	2	1	1	0	0	1	2	0	1	1	0	0	1	1	0	1	1	0	2	0	1	2	1	0	0	2	1	0	1	1	0	0	2	0	1	0	0	2	0	0	1	1	0	0	1	0	0	0	1	0	1	0	0	0	1	0	1	1	0	0	1	0	0	0	1	0	1	0	1	0	0	2	2	2	0	0	1	0	1	0	0	2	1	0	0	0
1	1	0	1	1	0	2	0	1	0	1	1	2	1	0	1	1	2	0	0	0	1	1	0	1	0	0	0	0	0	0	0	0	2	0	0	1	1	1	0	0	1	0	1	1	0	0	0	0	1	1	0	1	0	1	2	0	0	0	1	0	0	0	1	0	1	0	0	0	1	0	1	2	0	0	2	1	1	1	0	0	2	0	1	0	1	2	0	0	0	0	0	0	1	2	0	0	0	0	0	0
1	0	0	0	0	1	1	1	1	1	1	0	0	0	0	0	0	1	0	0	1	0	1	0	0	1	1	0	0	0	0	1	0	1	0	0	0	0	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	1	1	1	0	0	0	1	0	0	0	0	2	0	0	0	0	0	0	1	0	0	1	0	0	0	2	0	0	1	1	0	1	1	1	1	0	0	1	0	1	0	0	2	1	0	0	0
0	1	0	0	0	1	0	0	0	0	0	1	1	0	0	0	0	1	0	1	1	1	1	0	1	2	0	0	1	0	1	0	1	2	0	0	1	1	0	0	1	0	0	0	1	0	0	2	1	1	1	0	0	0	1	0	2	0	0	0	1	0	0	0	0	0	0	0	1	0	1	0	1	0	1	0	1	1	1	2	1	1	2	0	1	0	1	1	0	0	0	0	0	2	1	1	1	0	0	1	0
0	2	0	0	0	0	0	0	0	0	1	1	0	1	1	2	0	0	0	2	0	0	0	1	1	0	0	0	0	1	1	0	0	1	1	0	1	0	0	0	1	0	2	2	0	0	0	1	0	0	0	0	0	1	1	1	0	0	0	2	0	0	0	1	0	1	0	0	0	1	0	1	1	0	2	1	0	0	0	0	0	1	0	0	0	1	0	0	0	1	1	0	0	0	1	0	0	0	0	0	0
0	1	0	0	0	1	0	0	1	1	1	1	0	1	1	1	0	0	0	1	1	0	0	2	1	0	0	0	1	0	1	1	1	1	2	0	0	1	0	0	1	1	2	1	1	0	0	0	0	2	0	0	1	0	1	0	2	0	0	0	1	0	0	0	0	1	1	1	0	0	0	0	2	0	1	0	2	0	1	1	0	1	1	0	1	2	1	1	1	0	1	1	0	1	1	0	1	1	0	0	0
1	1	0	0	0	0	0	1	0	0	0	1	0	1	0	0	0	0	0	0	1	1	0	0	0	0	0	0	1	1	0	1	0	2	0	0	0	0	0	0	1	1	0	0	1	1	0	1	0	1	0	0	1	2	0	1	1	1	0	0	0	0	1	1	0	2	2	0	0	0	0	1	0	1	1	0	1	1	0	0	0	1	1	1	1	1	1	1	1	1	0	1	0	1	1	2	2	0	0	0	0
0	2	1	1	0	1	2	0	1	0	1	1	0	1	1	1	0	0	1	2	1	0	0	0	1	1	0	0	0	1	1	0	0	2	2	0	1	1	0	0	1	1	1	1	2	1	1	0	1	1	0	2	1	0	0	0	1	0	1	0	0	0	0	1	1	1	1	0	0	0	0	0	1	0	0	0	0	2	0	1	0	0	0	1	1	2	1	1	1	0	0	0	0	0	0	0	2	0	0	0	0
0	1	0	0	1	1	1	2	2	1	0	1	1	2	0	1	2	1	0	0	1	0	0	1	1	0	0	0	0	1	0	1	0	1	1	0	1	0	0	0	0	0	1	1	2	0	0	1	0	0	1	0	1	1	1	0	2	0	0	1	1	0	0	1	0	1	2	0	0	1	0	1	1	0	1	0	1	0	0	0	0	2	1	0	0	1	1	1	1	1	1	1	0	0	1	1	2	1	1	0	0
0	1	0	0	0	0	0	1	1	0	1	0	2	0	0	2	0	1	2	0	1	1	0	0	0	1	0	0	0	1	0	1	0	1	0	0	1	1	0	0	2	0	0	1	1	0	1	2	0	0	1	0	1	0	1	0	1	0	1	0	1	0	0	0	0	1	1	1	0	0	1	0	1	0	1	0	2	1	0	1	0	0	0	0	0	1	0	0	1	0	1	1	0	0	0	1	0	0	1	0	0
0	1	0	0	0	0	0	0	0	0	2	1	0	0	0	1	1	1	0	1	0	1	0	1	0	0	0	0	1	0	1	0	0	1	1	1	2	0	0	0	0	0	1	2	1	1	1	1	0	0	1	0	0	0	1	2	1	0	0	1	2	0	0	0	1	0	1	0	0	1	0	1	1	0	0	1	1	1	1	1	0	0	1	1	1	1	2	1	0	0	0	0	0	0	0	1	0	1	0	0	0
0	1	0	0	0	0	0	0	2	2	1	0	1	1	0	0	0	1	0	1	1	0	0	1	1	1	0	1	0	1	0	1	1	1	0	1	2	0	0	0	1	2	2	0	0	0	0	0	2	2	0	0	0	0	1	2	1	0	0	1	2	0	0	0	0	2	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	1	0	2	1	2	0	1	1	0	0	0	0	1	0	0	0	0	0	0	0
1	0	1	0	1	1	0	0	0	1	2	0	0	1	2	2	0	0	2	0	0	2	0	1	0	0	0	0	1	0	0	1	0	1	2	1	0	1	0	0	0	1	1	1	0	1	1	1	0	0	0	0	0	0	1	0	1	0	0	1	1	0	0	0	1	2	0	0	0	1	1	1	0	0	0	1	0	0	0	0	0	1	0	0	0	1	1	1	0	0	1	1	0	0	1	0	1	0	0	0	0
0	1	0	1	0	1	0	0	0	1	1	2	0	0	0	1	0	0	0	0	1	1	0	0	1	0	1	0	0	0	1	0	1	2	1	0	1	0	0	0	1	2	0	1	1	0	1	0	1	1	2	0	0	0	0	0	2	0	1	1	1	0	1	0	1	2	2	0	1	2	0	1	1	0	0	1	0	0	0	0	0	2	1	0	0	2	1	0	1	1	0	0	0	0	1	0	2	1	0	0	0
0	1	0	0	1	0	0	0	0	0	1	1	0	2	1	1	1	1	1	1	1	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	1	0	0	0	1	1	1	1	0	1	0	1	0	1	1	0	0	0	0	1	1	0	1	0	1	0	2	0	1	0	1	0	0	1	0	1	1	1	0	2	1	1	0	1	0	1	1	2	0	1	2	0	0	1	0	0	0	1	0	2	0	1	0	0	0
1	0	0	1	2	0	0	1	0	1	1	0	2	1	1	2	0	1	2	0	2	1	0	1	1	0	0	1	0	0	1	0	0	2	0	0	2	0	0	0	2	0	1	1	0	0	1	1	1	1	0	0	0	1	1	1	1	1	1	0	1	0	0	0	1	0	0	0	0	1	0	1	1	0	1	0	1	1	0	1	0	1	0	2	0	1	1	0	1	0	1	0	0	1	1	0	1	0	0	0	0
0	2	0	1	1	0	0	0	0	0	0	1	0	1	0	0	0	2	0	1	2	1	0	0	1	0	0	0	1	2	1	1	1	1	1	0	0	1	0	0	1	1	1	1	1	0	1	1	0	0	1	1	1	2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	2	0	0	0	1	2	1	1	0	2	1	1	0	0	1	0	1	0	0	1	1	0	0	0	1	0	0	1	0
0	1	0	0	0	0	0	0	0	0	1	1	1	1	1	2	1	2	0	2	1	1	1	1	1	1	0	0	0	1	0	0	0	1	1	0	0	1	1	0	1	1	0	2	1	0	1	1	0	1	0	0	0	1	0	0	1	0	0	0	1	0	0	0	1	1	1	0	0	1	0	0	0	1	1	1	0	1	1	0	0	0	0	1	0	1	0	1	2	1	0	1	0	1	1	1	0	1	0	0	0
0	0	1	1	0	0	0	1	1	1	2	0	1	1	0	1	0	2	1	1	0	0	0	0	1	0	1	0	0	0	1	0	0	1	1	0	1	0	1	0	1	1	0	1	1	0	0	1	1	1	1	0	2	1	1	2	2	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	1	0	0	2	0	1	1	1	1	1	2	1	0	1	1	0	1	0	0	0	0	1	0	1	1	2	0	0	0
0	2	0	0	0	0	1	1	0	1	0	0	0	0	1	2	0	0	1	1	0	2	0	0	1	0	0	0	0	0	1	0	0	0	1	0	1	0	1	0	1	2	1	1	2	0	0	0	1	1	1	0	0	0	1	1	1	1	0	0	0	0	0	0	1	0	0	0	0	2	2	1	0	0	0	1	1	1	1	0	0	1	1	0	0	0	2	0	0	1	0	1	0	1	1	1	1	1	0	0	0
0	2	0	1	1	1	0	0	1	0	1	2	0	0	0	0	1	1	1	2	0	1	0	0	1	1	0	1	1	2	0	1	0	1	1	2	1	0	0	0	1	1	1	2	0	0	0	0	0	0	0	0	2	1	1	0	1	1	0	1	1	0	0	1	0	0	0	0	0	1	1	0	0	1	0	1	0	1	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	1	1	0	0	0
0	0	0	1	1	0	0	0	0	1	2	2	0	1	0	2	1	0	1	0	1	0	0	1	1	0	0	0	0	1	0	1	1	0	2	0	1	1	1	0	1	1	2	2	1	0	0	0	0	1	0	0	1	0	0	0	0	1	0	0	1	0	0	0	0	0	1	0	0	0	1	1	0	0	0	2	0	0	0	1	0	1	0	1	0	1	2	1	0	0	1	0	0	0	0	0	0	1	0	0	0
0	0	0	1	0	0	0	0	2	0	0	1	1	0	0	1	0	1	1	0	0	1	0	0	2	0	0	1	1	1	1	0	0	0	1	0	0	1	0	0	1	0	0	1	1	0	0	0	1	2	1	0	2	2	2	1	1	0	0	1	0	0	0	0	1	1	1	0	0	0	0	1	1	0	0	1	0	1	0	0	0	0	0	1	0	0	2	0	1	0	0	0	0	1	2	0	1	1	0	0	0
0	0	1	1	0	0	1	1	2	0	0	1	1	1	0	0	0	1	1	1	1	1	0	1	1	0	1	0	1	0	1	1	1	1	2	1	0	0	1	1	0	1	1	2	1	0	0	1	0	1	2	0	1	0	0	0	0	1	0	0	1	0	0	0	0	1	0	1	0	1	0	1	0	0	1	2	1	0	0	0	0	1	1	1	0	1	0	1	1	1	1	0	0	1	1	0	0	0	0	0	0
2	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	2	1	0	1	1	0	0	1	0	1	0	0	0	2	0	0	0	1	0	1	0	1	0	1	2	0	2	1	0	1	1	0	1	1	0	0	0	1	1	2	0	1	1	0	0	1	1	0	2	1	0	1	1	2	0	1	0	0	1	0	1	1	0	1	0	0	1	0	2	1	0	1	1	0	0	0	1	0	0	0	0	0	1	0
1	0	0	0	0	0	0	0	0	1	1	1	0	0	1	2	0	1	1	1	1	0	0	2	0	1	1	0	0	0	0	1	1	0	1	0	2	0	1	0	0	0	1	1	0	0	0	0	0	0	0	1	0	0	0	1	1	0	1	0	1	0	0	2	0	1	2	0	0	0	1	2	1	0	1	0	2	1	1	0	0	1	0	1	0	0	2	1	0	0	1	1	0	1	1	0	1	1	0	1	0
1	0	0	0	1	0	0	1	1	1	1	0	0	0	0	0	1	1	0	1	1	0	0	0	1	1	2	0	0	1	0	0	1	1	2	0	1	0	2	0	2	1	0	1	0	0	0	0	0	1	1	1	1	0	2	0	1	0	0	0	0	0	0	1	0	1	0	0	0	2	0	1	1	0	0	1	1	1	1	0	0	1	0	2	0	2	1	1	1	0	1	1	0	2	1	1	0	1	0	0	0
1	0	0	1	0	0	0	1	0	0	1	0	1	1	0	0	0	1	0	1	2	2	0	0	2	0	0	0	1	0	0	1	0	0	1	0	0	0	0	0	0	1	1	1	1	0	0	0	1	1	1	0	0	0	1	2	1	0	0	0	1	0	0	0	0	1	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	2	0	0	0	0	1	0	1	0	0	0	1	0
0	1	1	0	0	0	0	1	2	1	1	0	0	0	0	1	0	0	2	2	2	1	0	0	1	0	0	0	1	0	1	0	1	0	0	0	2	1	2	0	0	0	1	0	2	0	0	2	0	2	0	1	1	1	2	2	1	0	1	0	1	0	0	0	0	2	1	0	0	0	0	1	0	0	0	2	2	0	0	1	0	0	0	0	1	1	1	1	1	0	0	0	0	0	2	0	1	0	0	0	0
0	0	0	1	1	0	2	0	0	1	0	1	0	1	0	1	0	1	0	0	2	0	0	0	1	0	1	0	0	0	0	1	1	0	1	0	2	1	0	0	0	1	1	0	1	0	0	1	1	0	0	1	1	1	0	1	1	0	0	0	2	0	0	1	1	1	0	0	0	1	0	1	1	0	0	2	0	0	0	0	0	1	0	1	1	0	1	1	1	0	0	1	0	0	1	1	1	0	0	0	0
0	1	0	0	1	0	0	0	0	2	0	1	1	0	0	1	0	1	0	1	2	0	0	0	1	1	1	1	0	2	0	1	0	1	2	1	1	1	0	0	0	0	2	0	1	0	1	0	0	0	1	0	0	1	1	1	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	2	0	0	0	1	0	1	0	0	1	1	0	2	0	2	0	0	1	0	0	0	0	0	0	0	1	1	0	0	0
0	1	0	1	0	0	0	1	1	1	2	1	0	0	0	2	1	2	0	1	0	1	0	0	2	0	0	0	0	2	1	1	0	1	1	0	2	1	1	0	1	2	1	1	1	1	1	0	0	1	0	1	1	0	1	1	2	0	0	0	2	0	0	1	0	2	0	0	0	1	0	0	1	1	0	0	0	1	0	2	0	1	1	1	1	1	1	1	2	1	0	1	0	1	2	1	1	1	0	0	0
0	0	0	0	0	0	0	1	0	1	1	0	0	0	0	1	2	1	0	2	2	1	0	2	1	0	0	0	0	0	0	0	0	1	1	0	0	1	0	0	1	2	1	2	1	0	0	1	0	0	0	0	1	1	1	0	1	0	0	1	2	0	0	0	0	0	2	0	0	2	0	0	1	0	1	0	1	0	0	0	0	2	0	0	0	1	0	1	0	0	0	1	0	1	0	0	1	1	0	0	0
0	0	0	1	0	0	0	0	0	1	0	1	0	0	0	1	0	2	0	1	1	1	1	1	1	0	0	1	0	0	0	0	0	1	2	1	2	1	0	0	1	0	2	1	2	0	1	1	0	1	0	0	0	1	0	2	0	0	0	0	1	0	0	0	1	1	1	0	0	0	0	0	1	1	1	1	0	1	1	0	0	2	0	2	1	1	2	1	1	0	0	1	0	0	0	1	2	1	0	0	0
0	2	0	1	0	1	0	2	1	2	0	0	0	0	1	2	0	0	0	1	0	1	1	0	1	0	1	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	1	0	1	0	0	0	0	0	0	0	0	0	0	1	0	0	1	1	2	0	0	0	0	2	1	0	0	0	0	1	2	0	0	0	1	1	2	0	0	2	0	1	0	0	1	2	1	0	0	0	0	0	1	1	1	0	0	0	0
0	0	0	1	0	1	1	0	0	0	0	1	0	0	1	1	1	0	1	2	1	0	0	0	0	1	0	0	0	1	1	1	0	1	1	0	1	0	0	0	0	1	1	0	1	0	1	0	0	0	0	0	2	0	0	0	1	0	0	0	2	0	0	0	0	1	2	0	0	0	0	0	0	1	0	1	1	0	0	0	0	2	0	0	0	0	1	1	1	0	0	0	0	0	0	1	1	0	0	0	0
0	1	0	0	0	0	1	0	1	0	1	2	0	0	1	2	1	0	0	1	1	1	0	1	1	0	0	0	0	0	1	2	0	1	0	1	1	0	0	0	1	0	0	0	2	0	1	0	0	1	0	1	0	1	1	0	1	0	0	0	1	0	0	0	0	1	1	0	0	1	1	0	1	0	0	1	1	1	0	0	0	0	0	1	0	1	1	0	1	1	0	1	0	2	1	1	1	2	0	0	0
0	2	0	0	0	0	1	0	0	1	0	2	0	2	0	2	0	1	2	0	0	1	0	2	0	0	1	1	1	1	1	0	0	1	1	1	2	0	0	0	0	0	2	1	2	1	1	2	1	1	0	0	1	0	0	0	2	1	0	0	0	0	0	0	2	1	1	0	0	2	0	1	1	1	0	0	0	0	1	1	0	1	0	0	0	0	1	1	1	0	0	0	0	1	0	0	2	0	0	0	0
0	0	0	0	1	1	0	1	0	0	1	0	0	1	0	0	0	0	0	1	1	0	0	0	1	0	0	0	1	1	0	0	1	1	1	0	0	1	0	0	0	0	0	2	0	0	0	1	0	0	0	0	0	1	1	2	1	0	0	0	0	0	1	0	0	1	1	0	0	0	0	1	1	0	0	0	2	1	0	0	0	0	1	0	0	2	2	1	0	0	0	0	0	1	2	0	2	0	1	0	0
0	1	0	0	0	0	1	0	0	0	1	1	1	0	0	1	0	1	0	1	2	1	0	0	0	1	1	0	0	0	0	0	1	0	1	0	1	0	0	0	0	2	2	1	1	0	0	0	0	1	0	0	1	1	2	0	0	1	0	0	1	0	0	0	0	0	1	1	1	1	0	1	1	0	0	1	0	0	1	1	0	0	1	1	0	0	0	1	1	0	0	0	0	1	0	0	0	2	0	0	0
0	0	0	0	1	0	1	2	1	0	1	2	0	0	0	0	0	0	0	2	1	0	0	0	1	1	0	1	0	0	1	0	0	2	0	0	0	2	0	0	1	2	0	1	2	0	1	2	1	1	1	0	0	0	2	0	1	0	1	1	0	0	0	1	1	1	1	1	0	0	0	1	1	1	0	2	2	0	0	0	0	0	0	0	0	2	1	0	1	0	0	0	0	0	0	1	0	0	0	0	0
0	0	0	1	1	0	0	0	0	0	1	2	0	1	0	1	0	1	1	0	1	0	0	1	1	0	0	1	0	1	1	0	0	2	1	0	1	1	0	1	0	2	1	2	1	0	0	0	1	1	0	0	0	0	2	2	0	0	1	1	0	0	0	0	1	1	2	0	0	0	0	1	0	0	0	2	0	0	0	1	0	2	0	0	0	0	1	0	2	0	0	0	0	1	1	0	1	1	0	0	0
1	1	0	0	1	0	0	1	1	0	0	1	0	0	1	1	1	1	1	1	1	1	0	0	1	0	0	0	0	0	0	1	1	1	1	0	0	1	1	0	0	2	1	0	1	0	1	1	1	1	0	0	0	0	1	0	1	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	1	0	1	0	1	0	0	0	0	1	1	0	1	1	0	1	2	1	1	0	0	1	0	0	1	0	0	0
0	1	0	0	0	0	2	0	0	1	0	0	1	0	0	1	1	2	1	1	1	0	0	1	0	0	0	0	0	0	0	0	2	0	1	1	1	0	0	1	1	2	1	2	1	1	1	0	0	2	0	0	0	0	1	2	1	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	1	0	1	0	1	1	2	0	2	2	1	0	0	0	0	1	0	0	1	0	1	0	1	1	0	0	1	0
1	0	0	1	0	0	1	0	0	0	2	2	1	1	0	1	0	0	1	1	0	1	1	0	0	0	0	0	0	2	2	0	0	2	1	0	1	1	0	0	0	0	2	1	0	0	1	1	0	0	0	1	1	0	0	0	2	0	0	0	1	0	0	0	0	1	2	0	0	0	1	1	1	1	1	0	1	0	0	0	0	2	0	1	1	1	1	0	0	0	1	0	0	1	1	0	1	0	0	1	0
1	0	0	0	0	0	2	1	1	0	0	0	0	0	0	1	0	1	1	0	0	2	0	1	1	0	0	0	1	0	0	1	0	1	0	0	0	1	0	0	0	2	1	2	1	0	1	0	0	0	1	1	0	1	1	0	2	0	0	0	1	0	0	1	0	2	2	0	0	2	0	1	0	0	1	0	1	1	0	0	0	1	0	0	0	1	0	1	1	1	0	0	0	1	2	1	2	1	1	0	0
1	1	0	0	0	0	0	0	0	1	1	0	0	0	1	2	0	0	0	2	0	0	0	2	0	0	1	1	0	2	1	1	1	0	1	0	0	0	0	0	1	1	1	2	0	0	0	0	1	1	1	1	2	1	0	0	1	0	1	0	0	0	0	0	1	2	1	1	0	1	1	2	0	0	0	1	1	1	0	2	0	1	1	1	0	1	2	2	1	0	1	0	0	0	1	0	1	0	0	0	0
1	1	1	0	0	0	1	0	0	2	0	0	0	1	0	2	0	0	0	0	1	1	0	0	0	0	1	1	0	1	0	2	0	0	0	0	1	1	1	0	0	1	1	1	1	0	0	1	0	1	0	2	0	0	1	0	1	0	1	0	0	0	0	0	0	0	2	1	0	0	0	0	0	0	1	0	0	1	2	1	0	0	0	0	0	1	2	0	1	1	1	0	0	0	0	0	1	1	0	0	0
1	0	0	0	0	0	1	0	1	0	1	1	1	1	0	0	0	0	0	0	1	2	0	0	0	0	0	0	1	0	0	0	0	1	1	0	1	2	0	0	0	0	1	1	1	0	0	1	0	1	0	0	1	1	2	1	1	1	0	0	1	0	0	0	1	2	0	0	0	0	0	1	0	0	1	1	0	1	1	2	0	1	1	0	0	0	1	1	1	1	1	0	0	0	0	0	2	0	0	0	0
0	0	0	0	0	0	1	1	1	0	2	2	0	2	0	1	0	1	1	2	2	1	0	1	1	0	0	0	1	0	0	1	0	1	1	0	2	1	0	0	1	0	0	2	1	1	0	1	0	0	0	2	0	0	2	0	1	1	0	0	1	0	1	1	1	2	2	0	0	0	0	1	0	0	0	2	0	1	0	0	0	0	0	1	0	1	0	0	1	0	1	0	0	1	1	0	1	1	0	0	0
1	2	0	1	1	1	0	0	1	0	0	1	0	0	1	0	0	0	0	1	2	1	0	0	1	0	1	0	0	2	1	0	0	0	1	1	2	1	0	0	0	1	0	0	1	1	1	1	0	1	0	0	1	0	2	0	1	0	0	1	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	2	1	1	0	0	0	0	0	0	0	0	1	2	0	0	0	0	0	0	2	0	2	1	0	1	0
1	1	0	1	1	0	0	0	0	2	2	2	0	1	0	0	1	1	1	0	0	2	0	1	1	0	0	0	0	0	0	2	1	2	0	1	1	0	0	0	1	1	1	1	1	0	0	0	0	1	1	0	2	0	2	1	0	0	0	0	1	0	0	0	0	1	1	0	0	0	2	0	1	1	1	1	1	0	1	1	0	2	1	0	0	2	1	0	1	1	1	0	0	1	1	0	0	1	0	0	0
0	0	0	0	0	1	0	1	0	2	1	1	1	1	0	1	0	2	0	1	1	2	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	2	1	0	1	0	0	1	0	0	0	1	2	0	2	1	1	0	0	0	2	0	1	0	0	0	0	0	0	0	0	2	0	2	1	1	0	2	2	1	0	1	0	2	0	0	1	0	0	0	1	1	0	1	0	0	2	0	0	0	0
0	0	0	1	0	0	2	0	2	1	1	1	0	1	1	2	1	1	0	0	1	1	0	1	0	0	0	0	0	1	0	1	1	1	2	1	2	1	0	0	1	1	1	0	0	0	0	0	0	1	2	0	0	0	1	0	1	0	1	2	1	0	0	1	0	0	1	1	0	0	1	1	0	0	2	1	0	1	1	1	1	1	0	0	0	1	0	1	0	1	0	0	0	2	0	1	0	1	0	0	0
0	2	0	0	0	0	0	0	0	0	1	2	1	2	0	0	0	1	0	0	1	1	0	1	1	0	0	0	2	0	0	1	1	0	1	0	1	0	2	0	0	0	1	0	1	0	1	0	1	0	0	0	2	0	0	0	2	0	0	2	1	0	0	0	2	1	2	1	0	2	0	0	0	0	1	1	1	2	1	0	0	1	1	0	0	2	2	2	1	0	0	1	0	2	2	1	1	2	0	1	0
1	1	0	0	0	0	0	0	1	1	1	0	2	0	0	1	0	2	0	1	0	1	0	1	0	1	0	0	0	1	0	0	0	1	0	1	2	0	0	0	2	1	1	1	2	0	1	2	0	0	0	0	0	1	0	1	1	0	1	0	1	0	0	0	0	2	0	0	0	0	0	1	1	1	0	1	1	1	0	1	0	0	0	1	0	1	1	1	0	1	1	0	0	0	2	0	0	1	0	0	0
1	1	1	0	1	1	0	1	1	1	1	0	0	2	0	1	0	1	0	0	2	2	0	0	1	0	1	1	0	1	2	1	2	1	2	1	1	2	1	0	0	0	0	1	0	0	0	2	0	2	2	1	0	2	1	1	1	0	0	0	0	0	0	0	1	0	1	0	0	0	0	2	1	2	1	1	0	0	1	1	0	1	1	0	0	1	1	1	1	1	1	2	0	1	2	0	0	0	0	0	0
0	2	0	0	0	0	0	0	1	0	0	2	0	0	1	1	0	1	1	0	0	2	0	1	0	0	0	0	1	1	0	0	1	1	0	0	0	0	0	0	1	1	1	0	0	0	0	0	1	0	0	0	2	1	0	0	1	0	1	1	1	0	0	1	1	0	0	0	0	0	0	1	0	0	0	0	1	1	2	1	0	1	1	1	1	1	2	0	0	0	0	1	1	1	1	0	1	1	0	0	0
0	2	0	0	1	1	0	1	0	0	0	1	1	1	0	1	0	2	1	1	0	1	0	0	1	2	0	1	0	0	1	0	0	0	1	0	1	2	0	0	1	1	0	1	0	0	0	1	0	1	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	1	0	0	0	0	0	0	1	0	0	0	0	1	1	1	2	2	0	1	0	1	2	1	0	0	0	0	0	1	0	1	2	1	0	0	0
0	1	0	0	0	0	1	1	1	1	0	0	0	1	1	1	0	1	0	2	1	1	1	0	1	0	0	0	0	0	1	1	0	2	0	0	1	1	0	0	0	1	0	1	2	0	0	2	1	1	1	0	1	1	1	0	0	0	0	1	1	0	1	1	2	1	1	0	0	0	0	1	1	1	0	0	0	1	0	0	0	1	0	1	0	1	1	1	0	0	1	0	0	1	0	1	2	2	1	0	0
0	1	0	1	0	0	0	2	0	0	1	1	1	1	0	1	0	2	1	0	0	0	0	1	0	1	0	0	1	1	0	1	1	0	0	0	0	0	1	0	1	1	0	1	1	0	0	1	0	1	1	2	1	0	0	0	2	0	0	0	1	0	0	1	1	1	1	0	0	0	2	1	0	1	0	2	1	1	0	0	0	1	0	0	0	1	0	1	0	0	0	0	0	0	0	1	1	1	0	1	0
1	0	0	1	0	0	0	0	0	0	1	1	1	1	1	1	1	1	0	2	1	1	0	1	1	0	0	0	0	1	0	1	1	1	0	0	0	1	1	0	1	0	1	1	1	0	0	0	0	0	0	0	1	0	2	0	1	1	0	1	0	0	0	2	0	0	1	0	0	1	0	1	2	0	0	0	1	0	0	1	0	2	0	0	0	0	0	1	1	0	0	0	0	0	0	2	1	1	1	0	0
0	1	0	1	0	0	0	0	0	0	1	1	1	1	1	2	0	1	0	1	1	0	0	1	0	1	0	0	1	1	0	1	0	2	1	0	1	1	0	0	2	1	1	0	1	1	0	0	0	1	1	1	0	2	2	1	2	1	0	0	1	0	1	0	0	0	1	0	0	2	1	2	0	0	1	2	2	1	1	2	0	1	0	0	0	1	1	1	0	0	0	0	0	0	1	1	1	0	0	0	0
2	1	1	1	0	0	1	1	0	0	0	1	0	1	1	0	1	1	1	1	1	0	0	0	1	0	1	0	1	0	0	0	0	0	1	0	2	1	0	1	0	1	1	1	2	0	0	0	1	0	0	0	1	1	0	0	1	0	0	0	0	0	1	1	0	0	1	0	0	0	0	1	0	0	0	2	2	0	0	0	0	1	0	0	0	0	1	1	1	0	0	0	0	1	0	1	2	0	0	0	0
0	0	0	1	0	0	0	0	0	2	1	0	0	1	0	2	0	1	0	1	2	0	0	1	1	1	0	1	0	0	0	0	0	2	1	0	1	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	2	1	2	1	0	0	0	1	1	0	0	0	1	0	2	0	0	0	0	1	1	1	1	1	1	0	1	1	1	0	0	0	0	1	0	2	0	0	0	1	0	1	1	0	0	1	0	1	0
1	0	1	0	0	0	0	0	0	2	1	1	0	2	0	1	0	0	1	1	0	2	1	0	1	0	1	0	2	0	1	0	0	0	1	0	1	0	0	0	1	0	1	1	0	0	2	1	0	0	0	0	1	1	0	0	0	1	0	0	1	0	0	0	0	2	1	0	0	0	2	0	0	0	0	2	0	2	1	0	1	1	0	1	0	0	1	0	2	1	0	1	0	0	1	0	2	0	0	0	0
1	1	1	1	0	0	0	0	0	1	1	1	0	0	0	0	0	2	1	0	1	1	0	0	1	0	0	0	0	1	0	0	1	2	1	1	0	0	0	0	1	2	0	1	1	1	0	2	1	0	0	0	0	1	0	0	2	0	0	1	0	0	0	2	1	2	2	1	0	0	0	0	0	1	0	1	0	0	0	0	1	1	0	0	0	2	1	1	0	0	0	0	0	0	0	1	1	0	0	0	0
0	1	1	1	0	0	1	0	1	0	1	1	0	1	2	0	0	2	1	1	1	0	0	1	0	0	0	0	0	1	0	1	1	1	2	1	1	2	0	0	0	2	1	2	2	0	0	1	0	0	1	1	0	0	1	1	2	0	0	0	1	0	0	0	2	0	1	0	0	1	1	0	0	1	0	0	1	1	1	0	1	1	0	0	0	1	1	1	1	0	0	0	0	1	0	0	1	2	0	0	0
1	0	0	0	1	0	0	0	0	2	1	1	0	0	0	1	0	0	0	1	0	1	0	0	1	2	0	1	0	0	1	2	1	0	1	1	2	1	0	0	2	0	1	1	0	0	2	1	1	1	1	0	1	0	2	0	0	0	0	0	1	0	0	0	0	1	2	1	0	0	0	1	1	0	0	1	1	0	0	0	0	2	1	1	0	0	0	1	1	0	0	1	0	2	0	1	0	0	0	0	0
0	1	1	0	0	0	2	0	0	1	1	0	1	0	0	1	0	1	1	1	0	0	0	0	2	0	0	1	0	0	1	0	2	1	0	0	0	0	1	0	0	1	1	0	2	0	2	1	0	0	0	0	0	2	1	2	1	0	0	1	0	0	0	1	0	0	0	0	0	0	0	2	0	1	0	1	0	0	1	1	0	1	0	1	0	1	2	0	1	1	1	1	0	0	1	0	1	0	1	0	0
0	2	0	1	0	0	0	1	1	0	0	1	0	0	0	2	0	1	1	2	2	0	0	1	1	1	0	1	0	0	1	1	0	2	2	0	0	1	0	0	0	0	1	0	1	0	1	1	0	0	1	0	1	1	2	0	0	0	0	1	0	0	0	0	0	2	1	0	0	1	0	1	1	2	1	2	0	1	0	0	1	1	0	0	0	2	1	1	0	1	1	1	0	1	0	0	0	0	0	0	0
1	2	0	0	0	0	0	2	0	1	1	2	0	0	0	1	2	1	1	0	1	2	0	2	2	0	1	1	1	1	0	1	0	0	2	1	0	0	0	0	0	1	2	1	1	0	0	1	0	1	0	1	1	1	0	1	1	0	1	1	1	0	0	0	0	1	1	0	0	0	0	2	0	0	1	0	1	0	1	2	0	1	0	0	0	1	0	2	2	0	0	1	0	0	0	0	1	2	0	0	0
1	0	0	0	0	0	0	0	0	1	0	1	1	2	0	2	0	1	0	1	1	1	0	0	1	0	0	0	0	1	1	1	1	0	1	0	2	2	1	0	0	2	0	1	0	0	0	1	1	0	0	1	1	1	2	1	1	0	1	1	1	0	0	1	0	0	2	0	0	0	1	1	1	1	0	1	0	1	0	0	0	0	2	2	0	1	1	1	2	0	0	2	0	1	0	0	0	1	0	0	0
0	0	0	2	0	0	0	0	1	0	0	1	0	1	1	1	0	2	0	1	0	1	0	1	0	1	2	0	0	0	0	1	0	1	0	1	2	0	2	0	0	0	0	1	1	0	1	0	0	2	0	1	2	1	1	1	2	0	1	1	1	0	0	0	1	0	1	0	0	1	0	1	1	1	1	1	0	2	0	1	0	1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	1	1	0	0	0
0	1	0	2	0	0	1	1	0	0	1	2	1	2	0	1	2	0	0	1	1	2	0	0	0	0	1	0	1	1	1	1	0	2	2	0	0	0	0	0	0	2	2	0	1	1	1	0	2	1	0	1	0	2	1	1	0	0	1	0	1	0	0	1	0	1	2	0	0	1	0	2	1	1	0	1	0	1	0	1	0	1	1	1	0	1	0	0	1	0	0	1	0	2	1	0	1	1	0	0	0
0	1	0	1	0	1	0	0	0	2	2	1	0	1	0	1	2	0	0	1	0	1	0	1	0	0	0	0	1	0	1	0	0	1	1	0	2	1	0	0	0	1	0	1	1	0	0	1	0	1	1	1	1	1	1	0	1	0	0	0	1	0	0	1	0	1	1	0	0	1	0	1	0	0	0	1	2	1	0	0	0	0	0	1	0	0	2	2	1	0	0	1	0	1	0	0	1	0	0	0	0
1	1	0	0	0	0	1	0	1	2	0	1	0	1	0	1	0	0	2	2	1	2	0	1	1	0	0	0	0	0	0	0	0	0	1	0	2	0	0	0	0	0	1	2	2	0	1	0	1	1	0	0	1	0	2	1	0	0	0	0	1	0	1	0	1	0	0	0	0	1	0	1	0	0	1	2	1	1	1	0	0	1	1	1	0	1	0	1	0	0	1	0	0	1	0	0	0	0	0	0	0
0	1	0	1	0	1	1	0	0	2	1	1	0	2	0	1	1	0	0	0	0	0	0	1	1	0	0	0	0	0	0	2	0	1	1	1	1	1	0	1	0	0	0	1	0	0	0	2	0	2	1	1	0	0	1	2	2	0	0	0	1	0	0	0	2	0	1	0	0	0	0	0	1	1	0	1	1	1	1	0	0	1	0	0	0	1	2	0	1	0	2	2	0	0	0	0	0	1	0	0	0
0	0	0	0	0	0	1	0	2	0	0	1	0	0	2	0	0	1	0	0	0	0	1	0	1	0	2	0	1	1	0	0	0	0	2	0	1	0	2	0	0	0	1	0	1	0	1	1	0	1	2	0	0	0	1	1	2	0	1	0	0	0	0	1	0	2	1	0	0	0	0	1	1	1	0	1	1	0	1	0	0	0	0	0	0	0	0	0	1	0	0	1	0	0	0	1	1	0	0	0	0
0	0	0	1	1	0	1	1	0	1	2	1	0	2	0	0	0	0	1	0	0	0	0	1	2	2	0	1	2	0	1	0	0	1	1	0	1	2	1	0	1	0	2	1	2	1	0	0	0	0	0	1	0	0	2	1	1	0	0	1	2	0	0	0	0	1	1	0	0	0	1	0	1	0	0	0	0	1	0	0	0	1	0	1	0	1	1	1	1	0	0	1	0	0	1	1	2	1	0	0	0
0	1	0	0	0	1	0	1	0	2	0	1	1	0	0	0	0	0	1	0	1	1	1	0	2	0	0	0	1	0	1	0	0	2	0	0	1	2	2	0	0	1	0	1	2	0	0	1	0	0	0	0	1	1	1	1	1	0	0	0	0	0	0	0	1	0	1	0	0	1	1	1	0	0	0	0	0	1	0	1	0	1	1	0	0	0	0	0	2	0	1	0	0	0	0	0	1	1	0	0	0
1	2	0	1	2	0	0	0	0	1	0	0	1	0	1	0	1	0	0	2	0	1	0	0	0	1	2	0	1	1	0	0	0	1	1	1	2	1	0	0	1	1	1	1	2	0	0	0	0	0	0	0	1	0	1	0	1	0	0	0	0	0	0	1	1	1	1	0	0	1	0	0	0	1	0	1	2	1	0	1	0	1	0	1	0	2	0	0	1	0	0	0	0	1	1	0	1	0	0	0	0
0	2	0	0	1	0	0	0	1	0	1	1	0	0	1	0	1	1	0	0	1	1	1	0	2	1	0	1	2	1	0	1	1	0	1	0	0	1	0	0	0	1	1	1	2	0	0	2	0	1	0	0	0	1	0	1	1	0	0	0	0	0	0	1	0	1	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	2	2	1	1	0	0	0	0	0	1	0	1	0	0	0	0
0	0	0	0	0	0	0	0	1	0	1	0	0	1	0	2	1	0	0	2	2	0	0	0	0	0	0	0	2	0	0	0	0	1	2	0	1	0	0	0	1	2	0	1	1	0	0	2	0	1	0	0	2	2	0	0	2	0	0	0	2	0	0	0	0	2	1	0	0	1	1	1	2	0	0	1	1	1	0	1	0	1	1	1	1	0	2	1	1	0	1	0	1	1	0	0	1	1	0	0	0
0	0	0	1	0	0	0	0	2	2	1	2	2	1	0	0	0	1	0	0	1	1	0	0	0	0	0	0	1	0	0	0	0	2	1	0	2	0	0	0	1	1	0	2	0	0	0	0	0	1	0	0	1	1	1	1	0	0	1	1	1	0	0	0	0	1	2	1	0	0	0	1	1	0	0	2	0	0	0	1	0	1	0	0	0	0	2	0	1	0	0	0	0	1	1	0	2	0	0	0	0
0	1	0	0	0	0	0	0	0	0	1	1	1	1	0	1	1	2	0	1	1	1	0	0	1	1	1	0	0	0	0	1	0	0	1	0	1	0	1	0	1	0	0	1	2	0	0	0	0	1	1	0	0	0	1	0	0	0	0	0	2	0	0	0	0	1	1	1	0	0	1	0	0	1	1	2	0	1	0	1	0	2	0	0	0	1	1	0	1	0	0	0	0	1	1	0	1	1	0	0	0
0	1	0	0	0	0	0	0	1	0	0	1	1	0	0	0	1	1	0	0	2	1	0	1	1	0	0	0	1	1	1	1	0	1	1	0	2	0	0	0	2	1	0	0	2	0	0	0	1	0	0	1	0	0	0	0	2	0	1	1	1	0	0	1	0	0	1	0	0	0	0	1	0	0	1	1	0	1	0	0	0	1	0	0	0	2	1	0	1	1	0	0	0	1	0	0	1	2	0	0	0
0	1	1	1	0	0	0	0	1	0	1	2	0	1	0	1	0	0	1	0	1	1	0	1	1	0	0	0	0	0	1	0	0	2	2	0	2	0	1	0	1	0	0	0	2	0	0	1	0	1	0	0	1	2	1	0	1	0	1	0	1	0	0	0	1	2	0	0	0	0	0	0	0	1	1	2	2	1	0	1	0	0	0	1	1	0	1	1	1	1	0	0	0	1	2	0	2	1	0	0	0
0	1	0	0	0	0	0	2	1	1	0	0	1	1	0	1	0	2	1	0	1	2	0	1	1	1	1	0	0	0	1	0	0	0	0	0	0	0	1	0	0	1	1	1	2	0	0	1	0	1	0	1	1	0	1	0	2	0	0	0	0	0	0	1	0	2	1	0	0	0	1	1	1	1	0	1	0	0	0	0	1	1	0	0	0	1	1	0	1	0	0	0	0	1	0	0	0	0	0	0	0
1	1	0	1	0	0	0	0	0	1	0	0	0	1	0	1	1	0	2	0	1	1	0	1	1	1	0	0	1	0	0	1	0	1	2	0	1	0	0	1	1	0	0	1	1	0	1	1	0	1	0	0	0	2	1	1	0	0	0	1	1	0	0	0	1	1	1	0	0	0	0	1	1	1	0	1	0	1	0	0	1	1	1	1	1	0	1	1	0	0	1	0	0	1	1	0	1	2	0	0	0
0	1	1	1	0	0	0	1	0	0	1	1	0	0	0	2	0	1	1	1	1	1	0	1	1	0	1	1	0	0	1	1	0	1	1	1	0	1	0	0	1	2	1	2	0	0	0	0	1	0	1	1	2	0	1	2	0	0	0	0	2	0	0	0	1	2	0	1	0	0	0	1	1	1	0	1	1	1	2	0	0	1	1	1	0	0	0	1	2	0	0	1	0	1	1	0	1	0	0	0	0
0	0	0	1	0	0	0	0	1	0	1	1	0	1	0	1	0	2	1	2	0	1	1	0	0	1	1	1	1	1	1	0	0	1	1	0	2	1	1	0	1	0	0	0	1	1	0	0	0	0	0	1	0	1	1	1	1	0	0	0	1	0	0	0	1	0	2	0	0	1	1	0	0	0	0	0	0	1	1	0	0	2	0	1	0	1	1	1	1	1	0	0	0	2	0	0	2	1	0	0	0
1	0	0	1	0	1	1	0	2	0	2	2	2	0	0	1	1	0	0	2	1	1	0	0	0	1	1	1	0	1	1	0	1	1	0	0	0	1	0	0	0	0	1	1	1	0	0	1	0	1	1	2	0	1	2	0	1	0	1	1	1	0	0	1	1	1	1	1	0	1	0	1	0	0	0	1	1	1	0	1	0	0	0	0	0	0	1	1	0	2	1	0	1	0	0	0	0	0	0	0	0
0	0	0	1	0	1	0	0	0	1	1	1	0	0	1	0	0	0	1	0	0	2	1	1	1	0	0	0	0	0	0	0	0	0	1	0	1	0	1	0	0	1	0	1	1	1	0	0	0	2	0	0	0	1	0	0	1	0	0	1	2	0	1	0	0	1	1	0	0	1	0	1	0	0	0	0	1	1	1	1	0	0	1	1	0	1	1	1	2	1	0	1	0	0	1	1	1	0	0	0	0
1	1	0	0	0	0	0	1	1	1	1	1	0	2	0	1	0	0	1	0	1	1	0	0	1	0	0	0	0	0	1	0	2	1	0	0	1	1	1	0	0	1	0	2	1	0	1	1	1	0	0	0	0	1	1	1	1	0	0	0	0	0	0	2	1	1	0	1	0	0	0	1	1	0	2	2	0	0	1	2	1	0	1	1	1	0	0	0	1	0	0	0	0	1	0	0	1	0	0	0	0
1	2	0	2	0	0	0	1	1	1	1	0	1	1	0	0	0	1	0	1	2	1	0	1	1	0	0	0	2	1	1	0	0	0	1	0	2	0	0	0	1	1	0	2	0	0	0	1	0	0	0	0	2	0	2	1	1	0	0	0	0	0	0	0	0	0	1	0	0	0	2	0	0	0	2	0	1	0	0	1	0	0	0	1	0	1	1	0	2	0	0	0	0	0	0	1	1	1	0	0	0
0	2	0	1	0	0	0	0	0	1	2	1	1	0	0	2	0	1	2	0	1	0	0	0	0	1	0	0	0	0	1	0	0	0	2	0	0	0	0	0	2	0	0	1	1	0	1	0	1	1	0	0	0	1	1	1	1	0	1	2	1	0	0	1	0	0	1	0	0	1	1	1	0	0	0	0	0	1	1	0	0	1	0	1	1	2	2	2	2	2	1	2	0	0	1	0	2	1	0	0	0
0	0	1	2	0	0	0	2	0	2	2	1	0	0	0	1	0	0	0	1	2	2	0	0	1	0	0	0	1	0	0	1	0	2	0	0	0	2	0	0	0	1	2	0	1	0	1	0	0	0	0	0	0	0	1	2	1	0	1	2	1	0	0	0	1	2	1	0	0	1	1	1	1	0	0	0	1	1	1	2	0	2	1	2	0	0	1	0	1	0	1	0	0	1	0	0	0	0	0	0	0
0	1	0	0	1	1	0	0	1	1	1	1	1	0	0	2	0	1	2	1	0	0	0	0	1	2	0	1	1	0	1	2	0	1	2	0	1	0	0	0	0	0	2	1	0	0	1	1	1	1	0	0	0	1	0	1	2	0	2	1	2	0	1	1	0	0	1	0	0	1	1	0	0	1	0	1	1	1	0	0	0	0	0	0	1	0	2	1	1	1	0	1	1	1	0	2	0	1	0	0	0
0	1	0	0	0	0	1	0	0	0	1	0	1	0	0	0	1	1	1	2	1	1	0	1	0	0	0	0	0	1	0	0	2	2	2	0	1	0	0	0	0	0	0	0	2	0	0	0	0	2	1	0	2	1	1	0	0	0	0	0	2	0	0	0	0	2	1	0	0	1	0	1	0	0	0	0	0	1	0	1	0	0	1	2	0	0	0	0	2	1	0	1	0	0	1	0	1	0	0	0	0
0	2	0	0	1	0	0	0	1	1	0	1	0	0	0	0	0	1	1	1	2	2	0	0	0	1	0	0	0	0	1	1	0	2	0	0	1	1	0	0	1	1	1	2	0	0	0	1	0	0	1	0	1	0	1	1	0	0	0	0	2	0	0	1	1	1	2	0	0	0	1	2	0	0	2	1	1	1	0	1	0	1	0	0	0	2	0	1	0	0	1	0	0	0	0	0	0	2	0	0	0
1	1	0	0	0	1	1	1	0	1	0	1	2	1	0	2	1	0	0	0	0	1	0	1	0	1	0	0	0	0	0	0	0	1	1	0	1	0	0	0	0	0	1	1	1	0	0	0	0	1	0	1	1	1	1	1	0	0	0	0	2	0	0	0	1	2	0	0	0	0	0	2	0	1	0	1	0	1	1	0	0	1	2	1	1	1	1	1	1	0	0	1	0	0	1	1	2	0	0	0	0
1	0	0	1	0	0	0	0	0	1	1	1	1	1	0	1	0	0	1	1	1	0	0	0	0	0	0	0	1	0	1	1	1	0	0	1	1	1	0	0	0	0	1	1	0	0	0	1	0	2	1	0	1	1	1	1	1	0	0	1	2	0	0	1	0	2	2	0	0	1	0	1	1	1	0	0	1	0	0	0	0	0	0	1	0	1	1	1	0	0	0	0	0	1	0	0	0	0	1	0	0
0	1	0	1	0	0	0	0	1	1	1	2	0	0	2	2	1	1	1	1	0	0	0	0	1	0	0	0	0	0	0	0	0	2	1	0	0	1	0	0	1	2	0	0	2	1	1	0	0	0	0	0	1	0	1	2	0	1	0	1	1	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	1	2	0	1	0	1	1	0	0	2	1	2	1	0	0	1	0	1	0	0	1	1	0	0	0
0	0	0	0	0	0	1	0	0	1	1	2	1	1	1	2	0	1	0	0	0	0	0	1	1	0	1	0	2	0	0	1	0	1	2	0	0	1	0	0	1	1	2	1	2	0	0	0	0	0	0	1	1	2	1	0	0	0	0	0	1	0	0	1	1	0	0	0	0	1	1	1	0	0	0	1	1	0	0	0	1	0	1	0	0	0	2	1	1	0	0	0	0	0	1	0	2	0	0	0	0
0	1	0	1	0	2	0	0	0	2	1	0	0	0	0	1	0	1	0	0	1	0	0	1	2	0	0	0	0	0	1	2	0	1	0	0	1	0	2	0	0	2	0	1	0	0	1	0	0	1	0	0	1	1	0	0	1	1	0	0	1	0	0	0	0	0	1	0	0	1	1	0	0	0	0	2	1	1	0	0	1	1	1	0	0	2	0	0	0	0	0	0	0	0	2	1	2	0	1	0	0
0	1	0	0	1	0	0	0	0	0	2	2	1	1	0	1	1	0	1	1	1	2	1	0	1	0	0	0	0	2	0	1	1	1	1	0	2	1	0	1	1	0	1	0	2	0	1	1	0	0	0	0	1	1	0	0	2	0	0	1	2	0	0	0	2	1	2	0	0	1	0	0	1	0	1	1	0	0	1	0	0	1	0	0	0	0	0	0	1	0	0	1	0	1	0	0	0	0	1	0	0
1	0	0	1	0	0	0	0	0	2	1	1	0	0	1	0	0	1	1	0	0	2	0	0	1	0	0	0	0	1	0	0	1	1	1	0	0	2	0	0	0	2	0	1	1	1	0	0	1	1	1	1	0	1	0	0	2	0	0	0	1	0	0	0	1	0	1	0	0	0	1	0	1	1	0	1	1	0	0	1	1	0	1	1	0	1	1	0	0	1	0	1	0	0	1	1	2	1	0	0	0
1	0	0	1	0	0	0	0	1	1	0	1	0	0	1	0	1	1	1	0	1	2	0	1	0	1	0	0	0	0	0	1	2	1	2	0	1	1	0	0	0	1	1	0	1	0	0	2	0	2	0	0	1	1	1	0	1	0	1	1	0	0	0	0	0	1	1	0	0	0	0	1	1	0	1	0	2	0	0	0	1	0	1	1	0	0	1	2	0	1	0	2	0	2	0	0	1	1	1	0	0
1	0	0	0	0	0	0	1	1	0	2	0	1	1	0	0	0	1	0	1	2	0	0	1	1	0	0	0	2	0	1	2	1	0	0	0	0	2	0	0	1	0	0	2	0	0	0	1	1	0	0	1	0	0	1	0	1	0	1	1	1	0	0	2	0	1	1	0	0	0	1	1	1	1	0	0	0	0	0	0	0	1	2	1	0	1	0	0	1	1	0	0	0	1	0	0	1	1	0	0	0
2	1	0	1	0	0	0	1	0	1	1	1	2	2	0	2	1	0	2	0	1	0	0	0	0	0	0	0	1	0	0	0	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	1	2	0	0	0	0	0	1	0	0	1	0	1	1	0	0	0	1	1	1	0	1	1	0	1	0	2	0	1	1	1	0	0	1	1	1	1	0	0	0	0	0	0	1	0	0	0	0
0	1	0	1	0	0	0	0	0	1	0	1	0	0	0	1	0	2	2	0	2	2	1	1	1	0	0	0	1	0	1	1	0	0	1	0	1	1	1	0	1	2	0	1	2	0	1	2	0	1	0	1	1	1	1	1	1	0	0	0	1	0	0	0	0	1	2	0	0	0	0	0	1	0	1	1	0	1	0	1	0	0	0	0	0	1	0	2	0	1	0	2	0	1	0	0	0	1	0	0	0
0	2	0	1	0	0	1	0	0	0	0	1	0	1	0	1	0	0	1	0	0	2	0	0	1	0	0	0	0	1	1	2	2	0	0	1	2	2	1	0	1	1	0	2	1	0	0	1	0	1	0	0	0	1	2	0	2	0	0	1	1	0	0	0	0	2	1	0	0	0	1	0	1	0	0	2	0	1	0	0	0	2	1	1	0	0	1	1	0	0	0	1	0	1	0	0	1	1	0	0	0
1	1	1	0	0	0	0	0	0	0	1	1	1	1	0	2	1	1	1	1	0	0	1	1	1	0	0	0	0	2	2	1	1	1	1	0	1	1	1	0	1	0	1	2	1	1	1	0	0	0	0	1	1	0	1	1	0	0	0	0	1	0	1	0	0	2	1	1	0	0	0	2	0	1	1	1	0	0	0	2	0	2	1	1	1	0	0	0	1	0	0	1	0	1	1	2	2	0	0	0	0
0	1	0	0	0	0	1	1	0	1	0	2	1	1	0	1	1	0	1	1	2	0	0	0	1	1	1	0	0	1	0	2	1	1	1	1	0	1	0	0	0	0	1	0	1	0	0	0	1	2	1	1	2	0	2	1	1	0	1	0	1	0	0	1	0	0	2	0	0	0	0	1	2	0	1	1	1	1	0	0	0	1	1	1	0	0	1	0	0	1	0	0	0	0	0	1	2	1	1	0	0
1	1	0	1	0	0	0	0	0	0	2	1	0	0	1	1	0	0	2	1	1	0	0	2	0	1	0	0	0	1	1	1	0	1	2	0	0	1	1	0	1	0	2	0	1	0	0	1	0	0	0	0	0	0	0	1	2	0	1	0	1	0	0	0	0	0	1	0	0	1	0	0	1	0	1	0	1	2	0	1	0	0	1	0	0	0	1	0	0	0	0	0	0	1	0	0	2	1	0	0	0
1	2	1	0	2	0	1	0	1	0	1	1	2	0	0	2	0	1	1	1	1	1	0	0	1	0	1	0	1	0	1	0	0	1	2	1	0	0	1	0	1	2	0	0	1	1	1	0	0	0	0	0	0	1	0	1	1	0	0	0	1	0	1	1	0	1	1	0	1	0	0	0	1	0	0	0	2	1	0	1	1	1	0	1	0	0	1	1	0	1	1	1	0	2	0	2	0	2	0	0	0
2	1	1	1	0	0	0	1	0	1	0	1	1	1	0	1	0	0	1	1	0	2	0	1	2	1	0	0	0	0	1	0	0	1	1	0	1	1	1	0	1	2	1	0	1	1	1	1	1	0	0	0	0	1	2	1	2	0	0	1	0	0	2	2	0	1	1	0	0	1	0	1	1	0	0	2	1	1	0	1	0	1	1	2	0	1	1	1	1	0	1	1	0	0	0	1	1	1	0	0	0
2	0	0	0	1	1	1	1	0	1	2	0	1	0	0	1	0	1	0	0	1	1	1	0	0	0	0	0	1	0	2	0	0	0	1	0	1	1	1	0	2	2	1	1	0	0	0	2	0	2	1	0	2	0	1	0	1	1	0	1	1	0	0	1	0	1	0	0	0	0	0	0	2	1	0	0	1	1	1	0	0	1	0	1	0	1	1	1	0	1	0	1	0	0	1	1	0	2	0	1	0
0	0	1	0	1	0	0	0	0	0	1	0	0	0	0	2	0	1	1	1	0	1	0	1	1	1	0	0	1	0	0	1	0	2	0	0	1	1	1	1	1	1	1	2	2	0	0	0	1	2	1	1	1	1	0	2	2	0	0	1	1	0	0	0	0	1	0	0	0	1	0	0	0	0	1	1	0	1	0	1	0	1	0	2	0	1	2	1	1	1	0	0	0	0	0	1	2	0	0	0	0
0	1	0	0	1	0	0	1	1	0	0	1	0	1	0	1	0	1	0	1	1	0	0	0	1	1	0	1	0	0	0	1	0	0	1	1	1	1	0	0	1	1	2	1	1	0	0	1	0	2	2	0	1	1	0	1	1	0	0	0	1	0	0	0	0	1	1	2	0	0	0	0	1	0	1	1	1	1	1	0	0	2	0	1	0	1	1	1	1	0	1	0	0	2	0	0	2	0	0	0	0
0	0	0	0	0	0	1	0	1	0	2	2	0	2	1	1	1	0	0	1	0	0	1	0	1	1	0	1	0	0	0	0	1	0	0	1	1	0	0	0	0	0	0	1	1	0	0	0	0	0	1	0	0	1	1	1	1	0	0	1	1	0	0	0	1	0	0	1	0	0	1	1	0	0	0	1	1	1	2	1	0	0	0	1	0	1	2	1	1	1	0	0	0	0	0	0	1	0	0	1	0
0	1	1	0	0	0	0	0	1	0	0	2	0	0	1	0	0	0	1	1	1	2	0	0	1	0	0	0	1	2	0	1	0	2	1	0	0	1	1	0	1	1	1	1	1	1	1	2	0	0	0	1	0	2	2	0	1	0	1	0	1	0	0	1	0	1	1	0	0	0	1	2	1	0	1	0	0	0	1	0	0	0	0	1	0	2	2	0	0	0	0	2	0	0	1	0	0	0	0	0	0
1	1	0	0	0	1	0	0	0	1	1	2	0	0	1	1	0	1	0	1	1	2	0	0	0	0	0	0	0	0	1	1	0	0	1	0	0	2	0	0	1	1	1	1	1	0	0	1	1	1	1	2	1	0	1	0	1	0	1	1	2	0	1	0	0	0	0	0	0	1	0	1	1	0	0	2	2	0	0	0	0	1	1	2	0	0	1	1	1	0	1	1	0	1	1	1	2	0	0	0	0
0	1	0	1	0	0	0	1	0	1	0	0	1	1	0	1	0	1	0	1	0	1	0	1	0	0	0	0	1	1	2	2	0	0	2	0	2	2	1	0	0	1	1	1	2	0	1	1	0	1	0	0	1	1	1	1	1	0	1	0	1	0	0	1	0	1	1	0	0	0	1	0	1	0	0	0	1	1	2	0	0	0	0	0	0	1	1	0	0	2	1	0	1	2	1	0	2	0	0	0	0
0	1	0	2	1	1	1	0	0	0	1	1	0	1	0	0	0	2	0	1	1	0	0	0	1	0	0	0	1	1	1	0	0	0	1	0	2	1	0	0	1	1	1	0	0	0	1	1	0	1	0	0	1	1	2	1	1	0	0	0	1	0	0	1	1	2	1	0	0	0	2	2	0	0	0	1	0	0	0	0	0	1	1	1	0	1	1	1	1	0	1	1	0	0	1	0	1	1	0	0	0
0	1	0	0	0	0	1	0	1	0	0	2	0	1	1	1	0	1	0	0	2	1	0	0	1	0	0	1	1	0	1	2	1	1	1	0	1	2	1	0	1	1	0	1	2	0	0	1	0	2	0	2	1	0	2	1	2	0	0	1	0	0	0	0	0	2	0	0	0	2	1	0	2	1	0	2	1	2	1	0	0	1	0	0	0	0	1	0	0	1	1	1	0	0	1	0	2	0	0	0	0
0	0	0	0	0	0	0	0	0	1	1	1	2	0	0	1	0	2	1	2	1	1	0	1	0	0	1	1	0	0	1	1	0	1	0	1	0	2	0	0	0	2	0	1	0	0	1	1	0	0	1	0	0	0	2	0	2	1	0	0	1	0	0	0	0	1	2	0	0	1	0	2	0	0	1	0	0	1	0	1	0	1	0	0	0	0	0	1	1	0	1	0	0	1	0	1	2	1	0	0	0
0	1	0	0	0	0	0	0	1	0	1	1	1	0	1	1	0	0	0	1	1	0	0	1	0	0	1	1	1	0	0	0	2	2	2	1	1	2	0	0	0	1	1	1	0	1	1	0	0	2	0	2	0	0	1	0	1	1	0	0	1	0	0	1	0	0	0	0	0	0	1	1	1	0	1	1	1	0	0	2	0	0	0	1	0	2	2	2	1	0	0	0	0	2	1	1	2	0	0	0	0
0	0	0	1	1	0	1	0	0	1	2	0	0	1	0	0	0	1	1	1	2	0	0	1	0	1	0	0	0	2	1	0	1	0	2	1	1	0	1	0	1	1	2	1	2	0	0	1	0	0	1	0	0	2	1	0	1	0	1	0	1	0	0	0	1	1	1	0	0	0	0	2	1	0	0	1	1	0	0	0	0	1	0	1	0	0	2	2	0	0	1	1	0	0	0	1	0	0	0	0	0
0	0	1	0	1	1	0	0	0	1	0	1	1	0	0	1	0	1	0	1	1	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0	1	2	2	0	0	0	0	1	1	0	0	2	0	0	0	0	0	1	1	1	0	0	1	0	0	0	1	0	1	0	1	0	0	2	1	0	1	0	0	0	2	0	1	0	0	0	1	1	0	0	1	1	1	0	0	0	1	0	0	0	1	0	0	0	0
0	1	0	1	1	1	0	1	1	0	2	1	0	2	0	2	0	1	2	0	1	1	0	2	1	1	0	0	1	1	1	2	0	1	1	0	2	0	0	0	1	0	1	0	0	0	0	0	0	2	0	2	1	1	0	1	2	0	0	0	1	0	0	0	0	0	0	0	1	1	1	0	0	0	0	2	0	0	1	0	0	0	0	1	1	1	1	1	0	0	0	1	0	2	0	1	0	0	0	0	0
0	2	0	2	0	1	0	0	1	0	0	0	1	2	0	0	0	1	0	1	2	1	0	1	2	1	0	2	1	0	0	0	1	1	1	0	2	1	1	0	1	0	1	1	1	1	0	1	0	1	0	0	0	0	2	0	0	0	1	1	2	0	1	0	1	2	1	0	0	0	0	0	1	0	0	1	0	1	1	1	0	0	0	0	0	0	1	0	2	0	0	0	0	1	1	1	1	0	0	0	0
1	1	1	0	0	0	0	1	0	0	1	1	0	1	1	1	1	1	1	1	1	1	0	1	0	0	0	0	2	1	0	0	1	1	1	0	2	1	2	0	2	0	0	0	0	0	0	1	0	2	1	1	0	0	1	1	2	0	0	0	2	0	0	1	0	0	1	0	0	0	2	2	1	2	0	1	1	2	0	1	0	0	1	1	0	1	1	2	2	1	0	1	1	0	0	0	1	1	0	0	0
0	1	0	0	1	1	0	0	1	0	1	1	2	1	1	1	1	0	0	1	1	2	0	0	0	1	0	0	0	1	1	1	0	1	1	0	2	1	0	0	0	1	1	0	1	0	0	0	1	0	0	0	1	0	0	1	2	0	0	1	0	0	0	0	1	0	0	0	0	1	0	1	0	1	1	1	2	1	2	1	0	1	0	0	0	1	0	0	2	0	0	0	0	0	1	1	1	1	0	0	0
0	1	0	0	0	1	0	0	0	0	0	1	1	0	0	1	0	0	2	1	1	2	0	0	2	0	0	0	0	0	1	0	1	0	0	0	1	0	0	0	1	1	1	2	2	0	0	0	0	0	1	1	0	0	1	1	0	0	0	1	1	0	0	1	0	2	1	0	0	0	1	1	0	1	0	1	2	1	0	0	0	1	0	1	0	1	1	1	0	0	0	1	0	1	0	0	0	0	0	0	0
0	2	0	1	0	1	1	0	0	0	0	1	0	1	1	0	0	0	1	2	2	1	0	1	0	1	1	0	1	0	0	1	0	0	0	0	0	1	0	0	0	1	1	2	2	0	1	1	0	0	1	0	0	0	1	0	2	0	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	1	0	1	1	0	1	0	0	1	0	0	0	0	2	2	1	0	1	0	0	1	0	2	2	0	1	1	0
0	1	0	1	0	0	0	1	1	0	0	2	1	0	0	0	0	1	1	1	1	0	0	0	1	0	1	0	1	1	1	0	0	2	0	0	0	0	1	0	0	1	0	1	1	0	0	2	1	1	0	0	1	0	0	1	1	0	1	0	1	0	0	0	1	1	1	0	0	1	1	2	0	0	0	1	0	1	0	0	0	1	1	0	1	0	1	1	0	0	0	0	0	0	0	1	1	0	0	0	0
0	0	0	1	0	0	1	1	1	0	1	1	2	1	0	1	1	1	1	1	1	1	0	0	0	1	0	0	0	0	0	1	0	0	1	0	0	1	0	0	1	1	1	0	0	1	0	1	0	1	0	0	1	0	0	0	0	0	0	1	1	0	0	0	0	2	1	0	0	0	0	0	0	1	1	0	2	1	0	0	1	0	0	0	0	0	2	0	2	0	0	1	0	0	0	0	1	1	0	0	0
0	2	0	1	0	0	1	0	1	1	0	0	1	0	1	2	0	0	1	1	1	0	0	0	0	1	0	0	1	1	1	2	0	2	2	0	1	1	0	0	0	2	0	1	2	0	0	1	1	1	0	1	0	0	1	0	1	0	1	0	1	0	1	0	0	0	0	0	0	2	0	1	0	0	0	1	0	2	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	1	0	2	2	0	0	0	0
2	2	0	1	0	0	0	0	1	0	0	1	0	0	0	0	0	1	0	0	1	2	2	1	1	0	0	0	1	2	0	1	0	0	0	0	1	0	0	0	1	2	1	1	0	0	0	2	0	0	1	0	0	0	1	1	2	1	0	0	1	0	0	0	1	0	1	0	0	0	1	0	0	1	1	0	1	2	0	1	0	1	1	1	1	1	1	0	1	1	1	0	0	1	1	0	0	2	0	0	0
0	1	0	0	0	0	0	0	0	0	0	2	0	0	0	2	0	1	1	0	1	0	0	1	0	2	0	1	0	1	0	0	0	1	1	1	1	0	0	0	0	1	1	1	0	0	0	1	1	1	1	0	1	1	1	1	2	0	0	1	2	0	0	1	0	1	2	0	0	1	0	0	2	1	0	1	2	1	2	0	0	0	1	0	0	0	2	2	0	0	0	0	0	1	0	0	1	1	0	0	0
0	2	0	0	1	0	1	0	1	1	1	1	1	1	0	1	0	0	0	1	0	2	0	1	0	0	0	0	0	1	0	0	0	1	2	0	2	0	0	0	1	1	2	0	0	0	0	0	1	1	0	0	2	0	1	1	0	0	0	1	2	0	0	0	1	1	2	0	0	1	0	1	2	0	0	0	1	1	1	1	0	2	2	0	0	0	1	1	0	0	1	0	0	1	0	0	2	0	0	0	0
0	1	0	0	0	0	0	0	0	0	0	2	0	1	0	1	1	0	0	1	2	0	0	2	1	1	1	0	1	1	0	0	0	1	1	0	1	0	0	0	0	1	1	0	1	0	1	0	0	0	0	0	1	1	1	0	1	0	0	0	2	0	0	0	0	1	0	0	0	1	1	2	0	0	0	0	0	2	0	0	0	0	1	2	0	0	1	1	1	0	0	1	0	0	0	0	0	0	0	0	0
0	1	1	0	0	1	0	0	0	1	2	1	0	0	2	1	0	1	0	0	1	2	1	0	1	1	0	0	0	1	0	1	1	2	0	0	1	0	1	0	1	2	1	0	2	0	1	0	0	1	0	0	0	0	0	0	1	0	0	0	1	0	0	0	1	1	2	0	0	0	0	1	0	1	0	1	1	0	0	1	1	2	0	0	1	2	1	1	0	1	0	0	0	1	0	1	1	0	0	0	0
1	1	0	0	0	1	1	1	0	1	1	0	1	0	0	2	0	1	1	0	0	1	0	1	2	1	0	1	1	1	0	0	1	2	2	0	0	1	1	0	2	1	1	1	0	0	1	0	1	1	1	1	0	0	1	2	1	0	1	1	1	0	0	1	1	1	0	0	0	0	0	1	0	0	1	1	0	2	0	0	1	2	1	0	0	1	1	0	0	0	1	0	0	1	0	1	0	0	0	0	0
0	0	0	1	0	0	1	0	2	1	1	1	0	0	1	2	0	0	0	1	2	1	0	0	1	1	1	0	0	0	0	1	0	1	2	0	1	2	1	0	0	1	1	1	0	1	1	0	0	1	0	0	0	0	1	0	1	0	0	1	0	0	0	0	1	1	1	0	0	0	1	1	1	0	1	1	1	0	0	0	0	1	0	0	0	1	0	2	0	1	0	2	0	1	1	0	1	1	0	0	0
0	0	0	0	1	0	0	1	1	0	0	0	1	0	1	2	1	2	0	1	2	2	0	0	1	1	1	0	1	2	0	1	1	1	2	0	1	1	0	0	1	1	0	2	0	0	0	1	0	2	1	0	2	0	2	0	1	0	1	1	1	0	0	0	0	1	1	1	0	1	0	1	1	0	0	1	1	1	1	0	0	0	0	1	0	2	0	1	0	0	0	1	0	0	0	0	1	0	0	0	0
0	0	1	1	1	0	0	0	1	0	0	1	1	0	1	2	0	1	0	1	2	0	1	0	0	1	0	1	0	1	0	0	1	2	1	0	1	1	0	0	1	1	0	1	0	0	1	1	0	0	0	0	1	1	2	0	2	0	1	0	1	0	0	1	0	0	0	0	0	0	0	0	1	0	0	0	2	0	2	0	1	0	0	1	0	1	2	1	0	1	0	0	0	1	1	1	1	1	0	0	0
0	1	1	1	0	0	1	1	1	1	0	1	0	1	1	2	0	1	0	1	0	0	0	1	0	1	0	0	0	1	0	1	0	0	0	0	1	0	1	0	0	0	0	1	0	0	1	0	1	1	1	0	1	1	0	0	1	1	0	2	1	0	0	0	1	1	2	0	0	1	0	0	0	0	0	1	1	1	1	1	0	2	1	0	0	0	1	1	1	0	1	1	0	0	1	0	0	0	0	0	0
0	0	1	0	0	1	0	0	0	1	1	0	2	0	1	1	1	0	1	0	1	0	0	1	1	0	0	0	1	1	0	1	0	0	1	0	1	2	0	0	1	1	0	0	0	0	0	0	0	1	0	1	1	0	0	0	1	0	0	0	1	0	0	2	0	0	0	1	0	2	0	1	1	1	0	2	0	1	0	0	0	0	1	1	1	0	1	2	0	0	1	0	0	0	0	0	1	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	1	1	1	0	0	0	1	0	0	0	0	0	2	1	1	0	0	2	0	1	0	0	1	2	0	0	0	1	1	0	0	1	0	2	0	0	1	0	0	1	0	0	0	0	0	0	1	0	0	0	1	0	1	1	1	0	1	1	1	0	0	0	1	1	0	0	0	1	1	1	0	1	0	0	1	0	1	1	0	0	0	0
0	1	0	1	0	0	1	0	2	1	2	0	1	0	1	1	0	0	0	1	1	2	0	0	0	1	1	0	0	0	0	1	0	1	0	1	0	0	0	0	1	2	0	1	1	0	0	0	0	1	0	1	2	0	1	1	1	0	0	0	1	0	0	0	1	1	1	0	0	1	0	0	1	0	0	0	1	1	2	0	0	2	0	1	0	1	1	1	0	1	0	1	0	0	1	0	2	1	0	0	0
1	2	0	0	0	0	1	0	1	1	0	2	1	1	0	0	0	1	1	1	1	0	0	2	1	2	0	0	0	1	0	1	0	1	1	1	0	0	0	0	1	0	2	1	1	1	0	1	0	2	0	1	2	0	0	1	1	0	1	1	0	0	0	0	0	1	0	0	0	0	0	1	1	1	0	1	2	1	0	0	1	1	0	1	0	2	1	2	1	1	0	0	0	0	0	1	2	0	0	0	0
0	0	0	0	0	0	0	1	2	1	2	2	0	0	1	1	0	0	1	1	1	1	0	0	2	1	0	0	2	0	0	1	2	0	1	0	1	1	0	1	0	0	2	2	1	0	1	1	1	1	0	1	1	0	0	0	2	0	0	0	0	0	0	0	0	1	0	1	0	2	1	1	1	0	0	1	1	1	1	0	0	1	1	0	0	1	1	1	0	0	0	0	0	0	0	0	1	1	0	0	0
0	2	0	0	0	0	1	1	0	0	1	2	0	1	0	1	1	2	1	0	1	0	0	0	0	1	0	0	0	1	1	0	0	0	0	1	2	0	0	0	2	1	1	1	1	0	0	1	1	0	0	1	2	2	0	0	0	1	0	0	2	0	0	0	0	2	1	0	0	1	1	1	0	0	0	1	0	2	0	0	0	1	1	1	0	0	2	0	1	0	1	0	0	1	1	0	2	1	0	0	0
2	0	0	2	0	0	0	1	0	2	0	1	0	1	0	0	1	0	1	1	1	2	0	2	0	0	0	0	0	0	0	2	0	1	1	0	1	1	1	0	1	0	0	0	2	0	1	1	0	1	0	1	0	1	0	1	2	0	0	1	0	0	1	1	0	0	1	0	0	0	0	1	1	1	1	1	0	0	1	0	1	0	1	1	0	1	1	1	1	1	0	0	0	0	1	1	2	0	0	0	0
0	1	0	0	0	0	0	0	1	0	0	1	0	1	0	0	1	1	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	1	0	2	1	0	0	1	1	2	1	1	0	0	1	0	0	0	0	0	0	1	1	0	0	1	0	1	0	0	0	2	0	1	0	0	0	2	0	1	0	0	0	1	1	0	0	0	0	1	0	0	1	0	0	0	0	1	0	0	1	0	0	1	1	0	0	0
0	1	0	1	0	0	0	1	0	1	0	1	0	1	0	0	0	1	0	1	1	2	0	2	1	2	0	1	1	1	0	1	1	0	1	0	2	0	1	0	0	1	0	1	0	0	1	0	0	1	1	1	0	0	1	0	0	0	1	0	2	0	0	0	0	1	0	0	0	0	0	1	0	2	0	1	1	1	0	0	0	1	1	1	0	1	1	0	1	0	1	0	0	1	1	0	1	0	0	0	0
1	1	0	0	0	0	0	1	2	1	1	2	0	1	0	2	0	0	1	2	0	1	0	0	0	1	0	0	1	0	1	0	0	0	2	0	1	0	0	0	0	1	1	2	0	0	0	0	0	1	0	0	0	2	1	1	1	0	0	1	0	0	0	0	1	0	2	0	0	0	0	0	0	0	0	2	0	1	0	0	0	1	0	1	0	0	0	0	0	1	1	0	0	0	2	1	0	0	0	0	0
0	0	0	2	0	0	0	1	0	0	2	1	1	0	0	0	0	1	0	0	0	0	1	1	0	1	1	0	0	0	0	0	0	2	2	1	1	0	1	0	1	0	2	2	2	0	1	2	0	1	1	1	0	0	2	0	1	0	1	0	1	1	0	0	0	1	0	1	1	0	1	1	2	0	0	2	1	1	0	1	0	1	0	1	1	1	2	0	1	0	0	0	0	0	0	0	1	0	1	0	0
0	0	0	0	2	0	0	0	1	1	1	2	1	0	0	1	1	0	0	1	0	1	0	2	1	0	0	0	0	0	0	0	1	1	1	0	2	0	1	0	2	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	1	0	0	1	1	0	0	0	0	1	1	1	0	0	0	0	1	1	0	1	1	0	0	1	0	0	0	1	0	1	1	1	1	0	0	1	0	2	0	1	1	2	0	0	0
0	1	0	0	0	0	0	0	1	0	0	2	0	1	0	1	0	1	0	0	0	1	0	0	0	1	0	1	0	0	0	1	0	0	1	1	1	0	0	0	1	1	0	1	0	1	0	1	0	0	0	0	1	1	2	2	2	0	0	1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	1	2	0	0	0	1	0	1	1	0	0	1	0	0	1	2	2	0	0	0	0
1	1	0	0	0	0	0	0	0	0	1	0	1	0	0	1	0	1	0	1	1	0	0	1	1	1	0	0	0	1	1	1	0	1	1	0	0	2	1	0	0	0	2	2	2	0	0	1	1	0	0	1	1	1	1	2	1	0	0	1	1	0	0	1	1	1	0	0	0	0	0	0	0	0	0	1	0	1	2	1	0	2	0	0	0	0	2	1	1	0	1	2	0	2	0	0	2	0	0	1	0
0	0	0	2	0	0	0	0	1	1	0	1	1	1	0	1	1	2	1	1	1	1	0	0	1	0	1	0	0	1	1	0	0	1	1	0	0	0	0	0	1	1	0	0	0	1	0	2	0	0	1	0	0	1	2	2	1	0	0	0	0	0	0	0	0	2	1	0	0	1	0	1	1	0	0	2	1	1	0	1	0	1	0	0	1	0	1	0	2	0	0	1	0	0	0	0	0	1	0	0	0
0	2	0	0	1	0	0	1	1	1	1	2	0	0	0	2	1	1	0	0	1	1	0	1	0	0	0	0	2	0	0	2	2	0	1	1	0	0	0	0	0	1	0	0	1	1	0	1	0	0	1	1	1	1	0	1	1	0	0	1	1	0	0	0	0	1	0	0	0	1	0	2	0	0	0	1	1	1	0	2	0	0	0	1	0	1	1	1	1	0	0	0	0	0	1	0	0	1	0	0	0
0	0	0	2	0	0	0	1	2	1	1	1	1	0	0	0	1	1	0	0	2	0	0	0	0	1	0	1	1	1	2	1	0	2	1	0	0	0	1	0	0	1	1	1	0	0	0	0	1	0	0	0	2	0	1	1	1	1	0	0	2	0	0	0	0	0	1	0	0	2	1	2	0	0	0	1	0	2	0	1	0	2	2	0	0	2	0	1	2	1	0	0	0	0	1	1	0	0	0	0	0
0	1	0	1	1	0	0	1	1	0	2	2	0	0	2	0	0	2	0	1	0	1	0	0	1	0	0	1	1	1	0	2	0	0	1	1	1	0	0	0	0	0	0	0	1	0	0	0	0	2	0	0	0	0	2	2	1	0	1	0	1	0	0	0	0	0	2	1	0	0	0	0	0	0	1	1	0	0	1	0	0	0	1	1	0	1	1	2	0	0	0	0	0	1	1	0	1	1	0	1	0
0	0	0	0	1	1	1	0	0	2	0	1	1	0	0	1	1	2	2	1	0	1	0	1	0	1	0	0	1	0	0	1	1	0	1	0	1	0	0	0	1	0	0	1	0	1	0	0	0	0	1	1	1	0	1	0	1	0	0	1	0	0	0	0	0	1	0	0	1	2	0	0	0	1	0	0	2	1	0	0	0	1	0	0	1	2	2	1	1	1	0	0	0	0	1	0	2	1	0	0	0
1	0	0	0	0	1	0	0	0	1	0	2	0	1	0	1	1	0	0	0	0	2	0	1	0	0	0	0	0	0	0	0	0	0	0	0	2	1	0	1	1	2	1	0	1	0	0	1	0	1	1	0	1	1	1	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	1	1	0	2	1	1	0	0	0	1	1	1	1	0	0	1	2	0	0	1	0	0	1	0	0	0	0	0	0
1	0	0	1	1	0	1	0	0	0	0	0	0	0	1	1	0	0	0	0	1	1	0	2	1	0	0	0	1	1	2	1	1	1	1	0	1	0	0	0	0	2	1	0	2	0	1	1	0	1	0	0	1	0	1	0	1	0	1	1	1	0	0	1	1	0	1	0	0	1	0	2	0	1	0	0	1	1	0	1	0	1	1	0	0	1	1	0	1	0	0	0	0	1	0	1	1	1	0	0	0
1	0	1	0	0	0	1	1	1	1	0	1	0	1	0	1	0	0	0	1	0	1	0	0	1	1	0	0	0	1	0	0	0	1	0	1	2	1	0	0	1	2	1	2	1	0	0	1	0	2	0	1	1	1	1	1	1	0	1	0	1	0	0	1	0	0	1	0	0	0	0	1	0	0	1	1	0	1	2	0	0	2	1	0	0	0	1	2	1	0	1	0	0	0	0	0	1	0	0	0	0
0	1	0	1	1	0	0	0	0	1	1	1	0	1	1	1	0	1	0	1	1	1	0	1	1	0	0	0	0	0	0	2	0	0	1	0	2	1	1	0	2	1	1	1	1	0	0	1	0	0	0	0	0	2	0	1	2	0	0	1	2	0	0	0	0	1	1	2	0	0	0	1	0	0	0	1	1	1	0	0	0	0	1	1	0	1	1	0	1	0	1	0	0	0	0	1	1	0	0	0	0
1	0	1	1	0	0	0	0	1	0	1	1	2	2	0	2	1	0	1	1	0	2	0	0	0	0	0	0	2	0	1	1	1	2	1	0	2	1	1	0	1	1	1	1	1	1	0	0	1	1	1	0	1	0	0	0	1	0	0	1	1	0	0	1	0	1	0	0	0	0	0	1	0	0	0	1	1	1	0	2	0	0	0	1	0	1	2	0	0	0	0	0	0	1	0	2	0	0	0	0	0
0	1	0	1	0	0	1	0	1	2	0	1	1	1	0	0	0	1	1	0	1	1	1	0	1	0	0	0	0	1	0	0	0	1	2	0	2	0	1	0	0	2	1	0	1	0	0	0	0	0	0	0	0	1	2	1	1	2	0	2	1	0	0	0	0	0	1	0	0	0	0	0	1	1	0	1	0	1	0	0	0	0	1	0	0	1	1	0	1	0	0	1	0	0	0	0	1	0	0	1	0
0	1	0	1	0	0	0	1	1	1	0	1	1	1	1	0	0	1	0	1	1	1	0	0	1	0	0	0	0	0	1	0	0	1	2	0	2	1	1	0	0	1	0	2	2	0	0	0	0	0	0	1	1	0	0	0	2	0	1	0	1	0	0	0	1	1	1	0	0	0	0	1	1	0	0	1	1	0	0	0	0	2	0	1	0	2	0	0	1	0	0	1	0	0	2	0	0	0	0	0	0
0	1	0	2	2	0	0	0	0	0	1	1	1	0	0	2	1	2	1	1	1	1	0	0	2	0	0	0	0	1	0	0	0	1	2	1	1	0	0	0	0	2	0	1	1	0	0	0	0	0	0	1	0	0	1	0	2	0	0	0	2	0	0	0	2	2	2	0	0	1	0	1	0	2	1	1	0	1	1	1	1	0	1	1	0	2	1	2	0	0	0	1	0	0	1	1	0	0	0	1	0
1	2	1	1	1	0	0	0	1	1	1	1	0	0	0	0	0	0	0	1	0	0	0	2	0	1	0	0	0	0	0	0	0	1	2	0	1	0	0	1	1	0	2	0	2	0	1	1	0	1	0	1	1	1	0	0	1	0	0	0	1	0	0	0	2	0	0	0	0	1	0	2	0	0	1	0	1	1	0	0	0	0	0	0	0	0	1	1	1	0	0	1	0	1	1	2	1	1	0	0	0
0	2	0	1	0	0	1	0	1	1	1	1	1	0	0	0	0	1	0	0	1	1	0	0	1	1	0	2	0	0	0	1	0	0	0	0	1	1	0	0	2	1	0	2	1	0	1	1	0	0	0	1	1	0	1	1	0	1	1	2	0	0	1	1	0	0	0	0	0	0	0	0	1	0	0	2	0	1	0	1	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0
1	0	0	1	1	0	0	0	2	2	0	0	1	1	1	1	0	1	1	2	0	1	1	2	1	0	1	0	2	0	1	1	1	1	1	0	1	1	0	0	1	2	1	1	1	0	0	1	1	1	2	0	0	0	1	1	1	1	0	0	1	1	0	1	0	1	1	0	0	1	1	1	0	0	0	0	0	2	0	0	0	0	0	1	0	1	1	0	0	2	0	0	0	1	0	1	2	1	0	0	0
0	0	1	1	0	0	0	0	0	0	1	2	1	0	0	1	1	1	0	1	1	1	0	0	1	0	0	0	0	0	1	1	0	1	1	1	0	0	0	0	0	0	0	0	2	1	0	1	0	1	0	0	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	2	1	1	0	1	2	1	0	0	0	1	2	0	0	0	1	1	1	0	0	0	0	0	0	0	0
0	0	1	2	1	0	0	0	1	1	0	2	0	0	1	2	0	0	1	0	1	2	0	0	1	0	1	0	1	0	0	0	1	1	1	0	1	0	1	0	0	0	2	2	0	1	1	0	0	0	1	2	0	0	1	1	0	0	0	1	1	0	0	1	1	1	1	0	0	0	0	1	0	1	1	0	0	0	0	0	0	1	0	0	0	1	1	0	1	0	0	0	0	0	0	0	0	1	0	0	0
0	1	0	0	0	0	1	1	1	1	1	0	0	1	1	2	0	1	2	0	1	0	0	0	2	1	0	0	1	0	0	2	0	0	2	0	1	1	0	0	2	1	1	1	1	1	1	0	0	1	0	0	0	0	1	0	1	0	0	1	1	0	0	2	0	0	1	0	0	1	1	2	0	1	0	0	1	0	1	1	1	0	1	1	0	2	2	2	1	0	0	0	0	0	0	0	1	0	0	0	0
1	2	0	2	1	1	0	0	1	0	2	1	1	0	0	2	0	0	1	1	1	1	0	0	1	0	0	1	2	1	0	1	0	2	1	0	1	2	0	0	0	1	1	1	1	0	0	1	1	0	1	1	2	0	1	0	2	0	1	2	1	0	0	1	0	1	1	0	0	0	1	2	0	0	0	0	1	1	1	1	0	1	1	1	0	2	0	0	1	0	0	0	0	2	2	0	1	1	0	0	0
1	0	0	1	0	0	0	1	0	1	1	1	2	0	0	0	0	0	1	0	2	2	0	0	1	0	0	1	0	0	2	0	2	1	1	0	1	0	1	0	0	1	1	0	1	1	1	0	0	1	1	0	1	2	0	1	1	0	0	1	0	0	0	1	2	0	1	0	0	0	0	0	1	0	0	0	0	1	2	1	0	1	1	0	0	0	2	1	0	0	0	0	0	1	1	0	2	0	0	0	0
0	0	0	0	2	0	1	0	2	1	1	2	1	1	0	1	1	1	0	1	0	2	0	0	1	0	0	0	1	0	1	1	1	1	2	0	1	0	0	0	0	1	1	1	1	0	0	0	0	2	0	0	1	1	2	2	1	1	0	1	1	0	0	0	2	0	0	0	0	1	0	1	0	0	1	1	0	0	0	0	0	1	1	1	0	2	2	1	0	0	1	0	0	1	0	0	0	0	0	0	0
1	1	0	2	0	0	1	1	1	0	0	1	0	0	0	2	0	2	0	0	1	1	0	0	0	0	0	0	2	1	1	0	1	1	2	0	0	1	0	1	2	1	0	2	2	0	0	0	0	1	0	1	2	1	0	1	2	0	0	1	0	0	0	0	1	0	1	0	0	1	0	1	0	1	0	1	0	0	1	1	0	0	1	1	0	1	0	1	0	1	0	0	0	0	1	0	1	1	0	0	0
0	1	0	1	1	0	2	0	1	1	1	0	1	1	0	2	0	0	1	2	1	1	0	0	0	0	0	0	1	0	0	1	0	1	0	1	1	2	0	0	0	1	0	2	2	0	0	1	0	0	0	0	1	0	2	2	1	0	0	2	1	0	0	0	0	1	1	0	0	1	0	1	2	0	0	0	1	1	0	0	0	1	2	1	0	0	1	0	1	1	0	1	0	0	2	0	2	0	0	0	0
0	0	0	1	0	0	0	0	1	0	1	1	0	1	1	1	1	0	2	0	0	1	0	1	0	1	0	0	1	1	0	2	0	0	1	0	2	1	1	0	0	0	2	0	1	0	0	2	0	0	0	0	2	0	0	2	1	0	0	1	2	1	0	0	0	0	1	0	0	1	0	1	1	0	0	1	0	1	1	0	0	0	1	1	0	2	2	2	2	1	0	1	0	0	0	0	1	2	1	0	0
0	2	0	0	1	0	2	0	0	0	0	0	1	0	0	1	0	0	1	1	0	1	0	1	1	1	1	0	1	2	1	1	0	1	1	0	1	1	0	1	0	1	0	1	2	1	0	1	0	0	0	1	1	0	2	1	0	0	0	0	1	0	0	0	1	0	2	0	0	1	0	1	1	0	0	0	2	0	1	0	0	1	0	2	0	1	2	1	0	1	1	0	0	1	0	1	1	1	0	0	0
0	0	0	1	0	0	0	0	2	0	1	0	0	1	0	1	1	1	0	0	0	1	1	1	1	1	0	0	1	1	1	1	0	0	0	0	1	1	0	1	0	0	2	0	2	0	1	1	0	1	0	0	1	0	0	0	0	0	0	1	1	0	0	0	1	0	0	0	0	1	0	1	1	1	0	1	0	0	0	0	0	1	0	1	0	0	1	1	1	0	1	1	0	2	1	0	2	0	1	1	0
1	1	0	0	0	0	0	1	1	1	0	0	1	1	0	1	0	0	0	1	0	0	0	0	1	1	0	0	0	0	1	0	1	0	1	0	1	1	0	0	1	2	2	2	0	0	0	0	0	1	1	2	1	0	1	1	1	0	1	1	1	0	1	0	0	1	1	0	0	2	0	0	0	1	1	2	0	2	0	1	1	0	0	1	1	0	0	1	1	0	0	1	0	1	1	0	1	1	0	0	0
1	1	0	0	0	0	1	0	0	1	2	0	0	0	0	2	0	0	1	1	0	1	0	0	1	0	0	0	0	0	0	1	1	1	2	1	1	1	0	0	0	2	1	0	1	0	0	0	0	0	1	1	0	1	0	0	2	0	0	1	0	0	0	0	0	1	2	1	0	0	0	0	0	0	0	0	0	1	1	0	0	1	1	1	0	0	1	0	1	1	0	0	0	0	1	0	0	0	0	0	0
0	1	0	2	0	0	0	2	0	1	0	1	1	0	1	1	0	0	0	0	0	0	0	1	1	0	0	0	0	0	1	0	0	1	1	0	2	1	0	0	1	0	0	1	1	0	0	1	1	1	1	1	2	0	1	1	2	1	0	1	1	0	0	0	0	1	2	0	0	1	0	0	0	0	0	2	0	0	0	1	1	2	1	1	1	0	0	0	1	0	1	0	0	0	1	0	0	1	0	0	0
0	1	1	2	0	0	0	1	0	1	0	2	1	0	0	1	1	1	0	2	1	1	0	0	1	1	0	0	0	0	1	0	0	0	2	0	1	0	2	0	1	1	1	0	1	0	0	2	0	1	0	1	1	0	0	2	1	0	1	1	1	0	0	0	1	2	1	0	0	0	0	2	1	1	1	2	0	0	0	2	0	0	0	0	0	0	1	1	1	0	0	0	0	1	0	0	0	0	0	0	0
0	1	0	0	0	0	0	0	1	0	1	2	0	0	0	0	0	0	1	2	1	0	0	0	1	1	0	0	0	0	0	0	1	1	0	0	0	2	0	0	1	2	2	0	2	0	0	1	0	0	0	0	2	1	2	0	1	1	1	0	1	1	1	0	0	1	2	0	0	0	1	0	0	0	1	0	0	2	0	2	1	1	0	0	0	0	0	0	1	1	0	1	0	0	1	1	2	0	0	0	0
0	1	0	0	1	1	0	0	0	0	1	0	0	2	1	0	0	1	0	0	0	1	0	0	0	1	1	2	1	1	1	0	1	1	1	0	0	1	0	0	0	1	1	0	1	0	0	0	0	0	0	1	1	0	1	1	0	0	0	0	1	0	1	0	0	1	1	0	0	0	0	0	0	1	0	1	0	0	0	1	1	0	0	1	0	0	2	0	0	1	2	0	0	0	0	0	1	0	0	1	0
2	2	0	1	0	1	1	0	1	1	1	1	0	2	0	1	1	1	1	0	0	1	0	0	0	0	0	0	0	1	1	1	1	0	2	0	2	1	0	0	1	2	0	0	2	0	0	0	1	0	1	2	0	0	2	0	2	0	1	0	2	0	0	0	1	1	0	0	0	0	0	1	0	0	0	1	2	1	0	0	1	1	0	0	0	0	2	1	0	1	0	1	0	0	0	0	1	0	1	0	0
0	0	0	1	0	1	0	0	1	1	1	2	0	2	0	2	0	1	0	1	1	1	0	1	0	1	0	0	1	0	1	1	1	1	1	0	0	1	0	0	2	0	0	2	2	0	1	0	0	0	0	2	0	1	2	0	2	0	0	1	1	0	0	0	0	1	0	0	0	1	0	0	1	1	1	1	1	2	1	0	0	1	0	0	0	1	0	2	0	0	0	1	0	0	0	0	0	0	0	0	0
1	0	1	1	0	1	1	0	1	1	1	1	0	2	0	1	0	0	0	2	0	0	1	0	1	1	0	0	0	0	1	1	0	2	0	0	1	2	1	0	1	0	1	1	1	0	0	1	0	1	0	0	2	1	1	0	0	0	0	0	0	0	1	0	0	2	2	0	0	1	0	0	0	0	0	0	1	1	0	1	0	1	1	2	0	0	1	0	0	0	1	0	0	2	0	1	1	0	0	0	0
0	2	0	1	0	1	1	0	1	0	0	1	0	0	1	2	1	1	1	1	1	0	0	0	0	1	0	0	1	2	1	1	0	0	2	0	0	1	0	0	1	0	0	1	1	0	0	0	1	1	1	0	0	0	1	0	1	0	0	1	1	0	0	0	1	0	0	0	0	0	1	0	1	0	1	1	0	1	1	2	1	1	0	0	0	1	0	1	2	1	1	0	0	1	1	0	0	0	0	0	0
1	0	0	1	1	1	1	0	1	1	0	2	0	1	1	2	0	1	1	0	1	1	0	2	0	0	0	0	0	0	0	1	0	1	0	0	1	2	0	0	1	0	0	1	1	0	0	0	0	0	0	1	0	0	1	0	0	0	1	0	0	0	0	0	0	1	0	0	0	0	0	0	1	0	0	2	0	0	2	0	0	2	0	0	0	1	1	0	2	1	0	1	0	0	0	0	1	0	0	0	0
0	1	0	0	0	0	1	0	0	2	1	1	0	1	0	0	0	0	1	1	0	1	0	0	0	0	1	1	0	0	0	1	0	1	1	1	1	0	0	0	0	0	1	1	1	0	0	0	0	0	0	1	0	1	1	0	2	0	0	2	0	0	0	0	0	1	2	0	0	0	0	0	2	0	0	1	1	1	0	0	0	1	1	1	0	0	1	0	1	0	0	0	0	1	0	0	1	1	0	0	0
1	1	1	0	0	0	1	0	0	0	2	0	0	0	0	1	0	0	1	2	0	1	1	1	0	0	0	1	0	0	0	1	1	0	1	0	2	1	0	0	1	1	1	1	1	0	0	0	1	1	2	0	1	2	1	0	1	1	0	0	1	0	0	0	0	1	0	0	0	1	0	1	0	0	0	1	0	1	1	0	0	2	0	0	0	1	1	0	1	0	0	0	0	0	1	0	1	1	0	0	0
1	0	0	1	0	0	1	0	2	0	1	1	1	0	0	1	1	2	1	1	1	0	0	0	1	0	1	0	2	0	1	0	0	1	0	0	2	0	1	0	0	1	0	1	2	0	1	0	0	0	0	1	1	1	0	0	1	0	0	1	2	0	0	0	1	2	0	0	0	2	0	1	0	0	0	1	1	0	1	0	0	2	1	1	1	1	0	0	0	0	0	1	0	0	2	2	1	0	0	0	0
1	1	0	1	0	0	0	0	0	1	0	0	1	0	0	1	0	0	0	1	1	1	0	0	0	1	0	0	0	0	1	1	1	1	0	1	0	0	0	0	0	1	0	0	2	0	0	1	0	1	0	2	1	0	1	0	1	0	0	0	1	0	0	0	0	1	1	0	0	2	0	0	1	0	0	1	1	1	1	0	0	0	1	2	0	0	0	1	0	0	1	0	0	0	0	0	1	0	0	1	0
0	1	0	2	0	0	0	0	2	2	0	1	1	1	0	1	0	0	1	1	2	1	0	0	1	0	0	0	1	0	1	0	1	0	2	0	0	1	0	0	0	0	0	2	2	1	1	1	0	2	1	0	1	2	0	2	0	0	1	1	2	0	0	1	0	1	1	0	0	0	1	0	1	0	0	0	1	1	0	2	0	0	0	0	0	0	2	2	0	0	1	0	0	1	1	0	0	1	0	0	0
0	1	0	2	1	0	0	0	2	1	0	1	0	1	0	1	0	1	0	1	0	2	1	1	0	1	1	0	0	0	0	1	0	2	0	0	1	0	0	0	1	0	0	1	0	0	1	0	0	1	0	1	0	0	1	0	1	1	1	0	1	1	0	1	0	1	1	1	0	1	1	1	0	0	0	2	0	1	1	1	1	1	0	1	0	1	0	0	0	0	0	0	0	0	0	2	1	0	0	0	0
0	1	0	1	0	0	0	0	1	0	1	2	0	0	0	1	0	1	1	0	2	2	0	2	0	1	0	0	1	0	1	0	1	1	1	1	0	1	1	0	2	1	1	1	1	0	0	0	0	1	1	0	0	0	1	1	1	0	0	1	2	0	0	0	1	2	2	1	0	0	0	1	1	0	0	0	1	2	0	2	0	1	0	1	0	0	1	2	2	0	1	1	0	1	0	0	0	0	0	0	0
0	1	0	1	0	0	0	1	0	0	0	1	0	1	0	1	1	0	1	0	1	2	0	1	1	1	1	1	1	1	1	0	0	0	0	0	2	1	0	0	0	2	1	1	0	0	0	0	0	1	1	0	0	2	1	0	1	0	0	1	1	0	0	2	1	2	0	0	0	1	0	0	0	0	0	1	0	1	0	1	1	0	0	1	0	0	0	1	2	0	0	0	0	1	1	0	1	1	0	0	0
0	1	0	0	0	0	0	0	1	0	1	0	0	0	0	2	0	0	1	0	1	1	0	0	1	0	0	1	1	1	1	1	0	1	1	0	0	0	0	0	1	1	0	0	2	0	0	1	0	2	0	0	2	1	1	0	2	1	0	0	1	0	0	1	0	1	0	1	0	0	1	0	1	0	0	0	0	0	0	0	0	1	0	2	0	1	1	1	2	0	1	1	0	0	0	0	1	0	0	1	0
0	1	0	1	0	0	0	1	1	0	0	1	0	0	2	1	1	0	0	0	2	1	0	1	1	0	1	0	0	1	1	0	1	1	2	0	2	1	0	0	1	1	1	1	2	0	0	0	0	1	1	1	1	0	2	2	1	0	0	0	1	0	0	1	0	1	1	0	0	1	0	1	1	1	1	1	1	1	0	0	0	1	0	0	0	0	2	0	2	0	0	1	0	1	1	0	0	0	0	0	0
1	1	0	0	1	0	0	0	1	1	0	1	2	0	2	1	1	2	1	1	1	1	0	0	0	1	0	1	1	1	1	1	0	1	1	0	1	0	1	0	2	0	1	0	1	0	0	1	0	1	2	1	0	1	1	1	0	0	0	0	0	0	1	1	1	1	0	1	0	0	0	1	1	0	0	1	1	1	0	1	1	2	1	1	0	1	0	0	0	0	1	0	0	0	0	0	2	1	0	0	0
0	0	0	0	1	1	0	0	1	1	1	0	0	1	1	1	0	1	1	1	0	1	0	1	1	0	1	0	0	0	1	0	1	2	1	0	2	0	1	0	0	1	0	2	0	1	1	0	0	2	0	0	1	1	1	0	1	0	0	1	0	0	0	0	0	0	1	0	0	1	2	1	1	1	1	1	0	2	1	0	0	0	0	1	1	0	2	1	1	0	2	0	0	2	1	1	1	0	0	0	0
1	1	0	1	0	0	1	0	0	0	1	2	0	2	0	1	0	2	2	0	1	0	0	0	1	1	0	0	0	0	0	0	1	0	0	0	1	0	1	0	1	0	0	0	1	0	0	1	0	1	0	0	1	2	0	1	0	0	1	0	0	0	1	0	0	1	2	0	0	1	1	1	0	0	0	2	0	1	1	1	0	2	2	1	1	0	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0
0	0	0	1	1	1	0	0	1	0	1	0	1	0	1	0	1	2	1	1	0	1	0	1	1	1	0	0	0	1	1	0	0	0	1	0	1	1	0	0	1	1	1	0	1	0	1	0	0	1	0	0	2	1	1	0	1	0	0	2	0	0	0	2	0	2	0	0	0	0	0	1	0	0	0	1	0	1	2	0	0	0	1	0	0	2	2	0	1	0	1	1	0	2	1	0	1	1	0	0	0
1	1	0	2	0	1	1	1	0	0	0	2	1	0	1	1	0	1	0	1	1	1	1	0	0	0	0	0	0	1	0	0	0	2	2	1	1	2	1	0	1	1	1	2	0	1	0	0	1	0	1	2	1	0	0	2	1	0	1	1	1	0	0	0	0	0	0	0	0	1	1	0	1	2	2	1	1	1	0	1	0	0	1	1	0	2	1	0	1	0	1	1	0	0	1	1	2	0	0	0	0
1	2	1	1	0	0	0	0	0	1	0	0	1	1	1	0	0	1	0	1	2	1	0	0	0	0	0	0	0	2	1	0	0	0	1	0	1	0	0	0	2	2	1	1	1	0	0	0	0	1	0	1	0	1	2	1	1	0	0	1	2	0	1	1	0	0	1	0	0	1	0	2	0	1	1	0	1	1	1	1	0	1	0	0	0	0	0	2	1	0	1	1	0	0	0	0	1	1	0	1	0
0	2	1	0	1	0	0	0	0	0	0	0	0	1	0	0	1	1	1	0	0	2	0	1	1	1	0	0	0	0	0	0	0	2	0	0	1	0	1	0	1	0	1	1	0	0	0	1	0	2	0	0	1	2	2	0	1	1	1	0	0	0	0	0	0	1	1	0	0	1	0	0	2	0	1	1	1	1	0	0	0	0	1	2	0	1	0	1	2	0	0	0	0	0	0	1	0	1	1	0	0
1	0	0	1	0	0	0	0	0	1	1	1	1	0	1	1	2	1	0	1	1	1	0	0	0	0	0	0	1	2	0	2	1	0	0	0	2	1	0	0	0	1	1	2	0	0	1	1	0	0	1	0	1	2	1	0	0	0	0	0	2	0	0	1	0	0	1	0	0	0	0	0	1	0	0	1	1	0	1	0	0	2	0	1	0	0	0	1	1	0	1	0	0	2	0	0	0	0	0	0	0
0	0	0	0	0	0	1	0	1	0	0	1	1	0	0	1	0	0	1	1	1	1	0	1	0	0	1	0	0	1	0	1	0	0	2	1	1	1	0	0	0	0	1	1	0	0	0	0	0	2	0	0	1	0	1	0	1	0	0	0	0	1	1	0	0	0	1	0	0	0	0	0	1	1	0	2	1	1	0	0	1	0	1	1	0	1	0	1	1	1	0	1	0	0	0	1	2	1	0	1	0
1	1	1	0	0	0	0	0	1	1	1	1	0	0	0	1	0	1	1	2	0	1	0	1	1	0	1	1	0	2	0	2	1	0	1	0	1	0	0	0	0	1	1	2	0	1	1	0	0	1	0	0	0	0	2	0	1	1	0	1	1	0	0	0	0	1	2	0	0	0	0	0	1	1	1	2	1	2	0	1	0	2	0	0	1	2	1	0	2	0	0	1	0	0	0	0	0	0	0	0	0
0	2	0	0	1	1	0	0	1	0	1	1	0	1	0	1	0	2	1	0	0	0	0	0	0	0	0	1	1	0	0	0	0	2	1	0	1	1	0	0	0	0	2	0	2	1	0	0	0	2	0	0	2	2	2	0	0	0	0	0	1	0	0	0	0	2	0	0	0	1	1	1	1	1	0	1	1	1	0	0	0	1	1	2	2	2	1	1	0	0	0	0	0	0	2	0	1	0	0	0	0
0	0	0	1	0	0	0	0	0	1	0	1	1	0	0	1	1	1	0	1	0	0	0	1	1	1	0	0	0	0	0	0	0	1	0	1	0	1	0	0	0	1	2	1	1	1	0	1	0	1	0	1	1	2	0	1	2	0	1	0	1	0	0	0	0	0	2	0	0	1	1	0	0	0	1	1	0	1	0	0	0	1	0	0	0	0	2	1	1	1	0	0	0	1	0	1	0	0	1	0	0
0	1	0	1	0	0	1	0	0	1	1	1	0	1	0	1	0	0	1	1	1	0	0	1	2	1	0	1	0	1	1	2	0	1	1	0	0	2	0	0	1	1	0	0	1	0	0	0	0	0	0	0	1	0	1	0	1	0	0	1	1	0	0	0	1	2	0	0	0	0	1	1	0	0	0	0	1	0	2	1	0	1	2	1	1	0	2	1	0	0	1	1	0	1	1	0	1	1	1	0	0
0	1	0	2	1	0	0	1	0	1	0	0	1	0	0	1	1	1	0	0	0	2	0	0	1	0	0	1	0	0	0	0	0	2	2	0	1	0	1	0	1	0	2	0	0	0	0	2	1	0	0	0	1	0	1	0	1	0	0	0	0	0	0	0	0	0	1	0	0	1	0	2	1	1	0	1	0	0	0	1	1	2	0	1	0	1	1	1	0	0	0	1	0	1	2	1	1	0	0	0	0
0	1	0	0	0	0	0	0	2	1	0	0	2	1	1	2	0	0	2	1	1	2	0	0	0	1	0	0	2	0	0	0	1	0	1	0	0	1	0	0	1	0	1	1	2	0	2	1	0	1	0	0	0	1	1	1	0	0	0	1	1	0	0	0	0	2	1	0	0	2	0	2	0	0	1	1	1	0	0	0	0	0	0	0	0	1	2	0	1	0	1	0	0	0	0	1	2	0	0	0	0
0	1	0	1	0	1	1	0	0	0	1	1	0	0	0	0	1	1	0	1	1	0	0	0	2	0	0	1	1	1	0	0	0	1	2	0	1	0	0	0	1	1	2	1	2	0	1	0	0	1	1	0	1	0	0	0	1	0	0	1	1	0	0	2	0	1	1	0	0	1	1	1	1	2	0	0	1	1	0	0	0	0	0	1	1	1	0	0	1	1	1	1	0	1	2	0	1	0	0	0	0
0	0	0	0	1	0	1	0	2	0	0	1	0	1	1	0	0	1	0	1	1	1	0	0	0	0	0	0	0	0	1	1	0	2	1	0	2	0	0	0	1	0	2	2	1	1	0	1	0	0	1	0	0	1	1	0	1	0	0	1	1	0	0	0	2	1	0	0	1	0	0	0	0	0	0	1	0	0	1	0	0	0	1	1	1	0	1	0	1	0	0	1	0	0	0	1	2	1	0	1	0
0	1	0	0	2	0	0	1	2	0	0	1	0	1	0	2	0	1	0	1	0	1	0	0	1	0	1	1	0	0	0	0	0	1	1	1	1	1	0	0	1	1	1	1	0	0	0	1	0	0	0	0	0	0	0	2	1	0	0	1	2	0	0	1	1	0	2	0	0	0	0	2	1	0	0	1	1	1	0	0	0	1	1	2	0	1	1	1	0	0	0	0	0	0	1	0	2	0	0	0	0
0	1	0	0	0	1	0	0	0	1	2	0	1	1	0	2	0	1	0	1	1	1	1	1	1	0	0	0	1	0	0	1	1	0	2	0	1	0	0	0	0	1	1	1	2	0	0	1	0	2	0	0	1	0	2	1	0	0	0	0	1	0	0	2	0	1	1	0	0	1	2	0	0	1	0	1	1	0	1	0	0	1	0	0	0	0	0	0	2	1	1	0	0	1	0	0	0	0	0	0	0
0	0	1	0	0	0	0	0	0	0	1	0	0	1	0	0	0	0	0	1	1	1	0	1	1	0	0	1	0	0	0	1	0	2	1	0	0	1	0	0	1	0	0	1	0	0	1	0	1	2	0	0	2	1	0	1	1	0	1	0	0	0	0	1	1	2	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	2	0	1	0	1	0	1	0	0	0	0	0	0	1	1	1	0	0	0	0
1	2	0	0	0	0	0	0	0	0	1	1	2	1	0	0	0	1	0	1	1	2	0	1	1	1	0	0	1	1	0	1	0	0	1	0	1	0	0	0	0	0	1	0	1	0	1	0	0	1	0	0	2	1	0	0	2	0	0	1	0	0	1	1	0	1	0	0	0	0	0	2	0	0	0	0	0	0	0	1	0	1	2	0	1	2	2	1	0	0	0	0	0	0	0	0	1	0	0	0	0
1	1	0	1	0	0	0	1	0	1	0	1	0	1	0	2	0	0	0	2	1	1	0	0	0	1	0	0	0	0	0	0	1	0	1	0	1	0	0	0	0	1	0	1	1	0	0	1	0	0	1	1	1	1	0	0	0	0	0	0	2	0	0	0	1	1	0	0	0	0	0	1	1	0	0	0	0	1	1	2	1	2	2	1	1	0	1	2	0	0	1	1	0	0	0	0	1	1	0	1	0
0	0	0	2	0	0	1	1	0	1	1	1	0	0	0	0	0	1	1	1	2	1	0	0	1	0	0	0	1	0	1	0	2	1	0	0	1	1	0	0	1	0	0	1	0	0	1	0	0	1	0	0	2	1	0	1	1	0	0	1	2	0	0	0	2	1	0	0	0	0	0	1	1	1	0	0	1	2	0	1	0	2	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	1	0
0	1	0	1	0	1	0	1	0	1	0	1	0	0	0	1	0	0	1	0	0	1	1	2	0	0	0	0	0	0	0	1	1	1	1	1	0	0	2	0	1	1	0	0	1	0	0	1	0	0	0	0	1	1	0	1	2	0	0	1	1	0	1	1	0	1	0	0	0	0	0	0	0	0	1	1	2	0	0	2	0	2	1	1	0	1	2	0	1	1	0	1	0	1	0	0	0	0	0	0	0
1	1	2	1	0	1	0	2	1	1	0	1	0	1	0	1	1	1	0	0	1	1	0	0	0	2	0	0	1	0	0	1	2	1	1	0	2	0	1	1	1	1	0	1	2	0	0	1	0	1	1	0	1	1	1	1	2	0	0	0	0	0	0	0	1	0	0	0	0	0	1	0	2	1	0	1	0	0	0	1	1	1	1	1	0	1	1	0	1	0	0	0	0	1	0	0	0	0	0	1	0
0	2	0	1	0	1	1	0	2	0	0	1	0	1	0	1	1	0	1	0	1	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	1	2	0	0	0	0	2	0	1	0	0	2	0	1	0	0	2	1	1	0	1	0	0	1	1	0	0	1	0	1	1	0	0	1	1	1	2	0	0	2	1	0	1	0	0	0	0	0	0	0	2	1	1	1	2	1	0	0	0	0	1	0	0	0	0
0	1	0	0	0	2	1	0	0	0	1	2	0	1	0	2	0	0	0	0	0	2	0	0	1	1	1	1	0	0	0	1	0	1	1	0	1	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	2	0	2	2	1	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	2	1	1	0	1	2	0	0	1	0	1	1	0	0	1	0	1	0	0	0	1	1	0	2	0	0	0
0	1	0	0	0	1	1	0	1	1	1	2	1	0	0	2	0	1	1	2	1	0	0	1	0	2	0	1	0	1	0	0	0	0	1	0	1	0	1	0	1	2	0	1	1	2	0	1	0	0	1	0	0	1	0	0	0	0	1	1	1	0	0	1	0	0	2	0	0	0	1	2	1	1	1	1	0	1	0	0	1	0	0	0	0	0	0	0	2	0	1	0	0	1	0	0	2	1	0	0	0
1	1	0	0	1	0	1	0	2	0	2	0	0	0	1	1	0	0	0	0	0	1	0	0	0	1	0	0	1	1	1	0	1	1	1	0	2	1	1	0	0	1	1	1	0	0	1	0	1	1	0	0	1	0	1	2	1	0	0	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	1	0	1	0	1	0	1	0	0	0	0	1	0	1	0	0	0	0	1	1	1	1	0	1	0	0
0	0	1	0	0	1	0	1	1	1	0	2	1	1	0	1	0	0	0	1	0	1	0	0	1	1	0	0	0	0	0	0	0	1	1	0	1	0	0	0	0	1	1	0	1	0	0	2	0	1	1	0	1	1	1	1	1	0	0	0	1	1	0	1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	1	1	1	1	1	0	0	0	0	1	0	1	0	0	0
0	0	0	1	1	0	0	0	0	1	1	0	0	2	2	0	0	0	0	0	0	0	0	0	1	0	0	1	2	1	0	1	0	0	1	0	1	2	0	0	1	1	0	1	1	1	1	1	0	0	1	1	0	0	1	0	0	0	0	2	0	0	0	0	0	1	1	0	0	0	1	2	1	1	0	1	1	1	1	1	0	1	1	2	1	0	1	1	1	0	0	0	0	0	0	0	1	0	1	0	0
0	0	0	1	0	0	0	0	0	1	1	2	0	1	1	1	1	1	1	1	1	1	0	0	1	0	0	1	0	0	1	0	1	1	1	0	1	0	0	0	0	2	1	1	2	1	1	2	0	0	0	0	1	2	2	0	1	0	0	1	0	0	0	1	0	1	1	0	0	1	0	1	1	0	1	1	1	1	1	0	0	2	0	1	0	2	2	0	1	1	0	0	0	0	0	2	2	0	0	0	0
0	1	0	0	0	1	0	1	0	1	1	1	0	0	0	1	1	1	0	0	1	2	0	1	0	0	0	0	1	0	1	0	1	2	1	0	2	1	0	0	1	1	0	1	0	0	1	0	2	1	1	0	1	1	1	0	2	0	0	1	0	0	1	1	0	0	1	0	0	0	1	1	1	1	0	1	1	0	1	1	1	0	0	0	0	2	2	0	2	0	1	2	0	2	0	0	0	0	0	0	0
0	2	1	0	2	0	1	1	0	0	1	1	1	2	1	2	0	2	1	0	1	1	0	2	1	0	1	1	1	0	0	1	0	1	1	0	2	1	0	0	0	1	0	0	2	1	1	0	0	2	0	1	0	1	2	1	1	0	0	1	1	0	0	0	0	0	1	0	0	1	0	0	1	2	0	2	0	1	0	1	1	1	0	0	1	0	0	1	0	0	0	0	0	2	2	1	0	0	0	0	0
0	1	1	1	0	0	1	1	1	1	0	0	0	0	0	1	1	0	1	1	0	1	0	0	1	1	0	0	2	0	1	1	0	0	1	0	2	0	0	0	2	2	0	2	0	0	0	1	0	1	0	1	1	1	0	1	1	0	1	0	0	0	0	1	0	1	0	0	0	0	0	1	1	0	0	1	0	2	1	0	1	1	1	2	0	1	1	1	0	1	0	1	0	1	1	1	2	2	0	0	0
0	1	0	0	0	1	0	2	0	1	1	2	0	1	1	0	0	0	0	0	0	0	0	0	2	1	0	0	0	2	0	1	0	0	0	0	1	1	0	1	0	1	0	1	0	0	0	1	0	0	0	1	2	0	1	1	2	0	0	0	0	0	0	1	0	0	1	1	0	0	0	1	0	1	0	2	1	1	0	1	0	1	1	0	0	0	1	2	1	0	0	2	0	0	0	1	1	1	0	1	0
0	0	0	1	0	0	1	1	1	1	0	1	1	1	0	2	0	2	0	1	1	1	0	0	0	1	0	0	1	0	2	0	1	1	0	1	1	1	0	0	0	1	1	1	2	0	0	2	0	2	0	0	0	0	2	1	1	0	0	0	1	0	0	0	0	2	0	1	0	0	1	1	2	0	1	0	1	1	1	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	1	1	2	0	0	0
1	1	0	1	1	0	1	0	1	0	0	2	0	0	0	2	0	1	1	2	1	0	0	2	1	0	0	0	1	1	0	0	0	2	1	0	2	0	0	0	0	1	2	0	2	1	0	1	0	0	1	0	0	1	2	0	2	0	0	1	1	0	0	0	0	1	1	0	0	1	0	1	0	0	0	1	1	0	1	2	1	0	1	1	2	1	2	0	0	0	0	0	0	2	0	0	1	0	0	0	0
0	1	0	0	0	0	0	1	0	0	0	2	0	0	0	2	0	0	1	0	0	0	0	0	1	1	0	1	1	0	0	1	0	1	1	0	1	0	1	0	0	1	2	2	0	1	1	0	0	1	0	0	0	1	1	1	1	1	0	1	1	0	0	0	0	2	1	0	0	2	0	0	0	0	0	2	1	0	1	1	0	0	0	0	0	1	1	2	0	0	0	0	0	0	2	0	1	2	0	0	0
0	1	0	0	1	0	0	1	0	0	0	1	0	1	0	1	1	1	0	2	0	1	0	1	0	1	0	0	1	0	0	2	0	2	1	0	1	2	2	0	1	1	0	2	0	1	0	0	0	0	1	0	2	1	1	1	0	0	0	1	0	0	1	0	0	2	1	0	0	1	0	1	0	0	0	1	0	2	0	0	0	2	0	1	0	0	1	1	0	0	0	0	0	0	1	0	1	0	0	0	0
0	0	1	0	0	1	1	1	2	1	0	2	1	1	1	2	0	1	1	0	0	0	0	1	1	1	1	0	1	0	0	0	0	0	0	1	0	1	1	0	0	0	2	1	1	0	1	1	0	0	1	0	1	0	2	1	0	1	1	0	0	1	0	2	0	1	1	0	0	0	0	1	1	0	0	1	0	1	0	1	0	1	0	0	0	2	1	1	1	0	1	0	0	1	0	0	0	0	0	0	0
0	0	0	0	0	0	0	0	2	0	0	0	1	0	0	0	0	0	2	1	1	2	0	1	0	0	0	0	1	1	1	0	0	0	1	0	1	1	1	0	1	1	1	1	1	1	0	0	0	0	0	0	1	0	1	1	1	0	0	1	2	0	0	0	0	0	0	0	0	0	0	1	0	0	1	0	0	1	0	1	0	2	0	1	0	1	1	1	0	0	1	0	0	1	0	1	1	0	0	0	0
0	2	0	0	1	0	1	0	2	0	0	0	0	1	0	0	0	0	1	1	1	2	0	1	1	0	0	0	1	0	0	2	0	0	1	0	2	0	1	0	1	1	1	1	1	0	0	1	0	2	0	0	1	0	0	2	1	0	0	1	0	0	0	0	2	0	1	0	0	1	0	1	0	0	1	0	1	0	0	1	0	1	0	1	0	1	2	1	1	0	0	0	0	1	1	1	0	1	1	1	0
0	0	1	0	0	1	0	0	0	1	1	1	1	2	1	1	0	1	1	1	0	1	1	2	1	0	0	0	0	1	0	1	1	0	1	0	1	0	1	0	1	0	0	2	1	0	0	1	0	1	0	1	1	0	2	1	1	0	1	1	2	0	1	0	1	2	0	0	0	1	1	1	0	0	0	0	0	2	0	0	0	1	1	1	0	0	1	0	0	0	0	1	0	1	0	0	0	0	0	0	0
1	0	0	0	1	1	1	0	0	0	0	0	0	0	1	2	2	1	1	0	2	2	0	0	1	0	0	0	1	1	2	1	1	0	1	0	1	0	1	0	2	0	1	0	0	0	0	0	0	1	1	1	0	0	0	1	0	0	0	0	1	0	0	0	0	0	1	0	0	2	0	2	0	0	0	0	0	0	0	0	0	1	1	1	0	0	1	1	0	1	0	0	0	1	0	0	1	1	0	0	0
1	1	0	1	1	0	0	0	0	1	1	1	0	0	0	1	0	1	2	2	0	0	0	0	1	1	0	0	1	0	1	0	0	0	0	0	1	0	0	0	0	0	0	2	1	0	0	1	0	1	0	1	0	1	0	0	1	1	0	0	1	0	0	1	1	0	0	0	0	1	0	2	0	1	0	0	0	1	0	1	0	0	0	1	0	1	2	1	0	0	0	2	0	0	0	0	2	0	0	0	0
1	0	0	0	0	0	0	2	1	0	0	1	0	1	0	1	0	1	0	0	0	1	0	1	0	1	0	1	0	1	0	0	0	1	1	0	1	2	0	0	0	1	1	0	1	0	0	1	0	1	0	0	1	0	1	1	1	0	0	0	2	0	0	1	0	0	0	0	0	1	0	1	0	1	0	1	1	2	0	1	0	1	1	1	0	1	2	1	0	0	0	0	0	1	0	0	1	0	0	0	0
0	0	0	0	0	0	0	1	0	0	2	1	1	0	0	0	0	1	1	1	0	2	0	2	2	0	1	1	0	0	1	0	0	1	1	0	1	2	0	1	0	1	1	2	1	0	0	0	1	2	1	0	1	0	1	0	0	0	0	1	1	0	0	0	1	0	0	2	0	1	0	0	1	0	0	2	0	0	1	0	0	1	0	0	0	1	0	2	0	0	0	1	0	1	0	0	2	1	0	0	0
0	1	0	0	1	0	0	0	1	2	0	1	1	1	0	0	1	1	0	0	1	1	0	0	0	0	1	0	1	1	1	1	0	1	2	1	0	0	0	1	1	0	0	1	1	1	1	0	0	1	1	2	0	0	1	0	0	0	0	0	1	1	1	1	0	1	1	0	0	0	1	0	2	0	0	0	1	1	1	1	0	0	1	1	0	1	1	0	1	1	1	1	0	1	0	0	0	1	0	0	0
0	0	0	1	0	1	0	1	1	0	1	2	1	0	0	1	1	1	0	2	1	2	0	0	1	1	0	0	0	0	1	0	0	0	1	0	2	0	0	0	1	0	1	1	1	1	1	0	0	0	0	1	1	1	1	0	1	0	1	0	0	0	0	1	0	1	1	0	0	1	1	0	1	2	2	1	2	1	0	0	0	1	0	1	0	1	1	1	0	0	0	0	0	2	1	0	1	0	0	0	0
0	0	0	0	1	0	1	0	0	0	0	1	1	1	0	1	1	2	1	1	1	1	1	0	0	1	0	0	0	2	1	1	0	0	1	0	1	2	0	0	0	0	1	2	1	0	0	2	0	1	0	1	0	0	2	1	2	0	0	1	1	0	0	0	1	0	1	0	0	2	0	1	0	0	0	1	0	1	0	0	1	1	0	0	1	1	2	2	1	0	1	1	0	0	0	0	0	0	0	0	0
0	2	0	1	1	0	0	0	0	1	0	1	0	2	1	2	0	1	0	0	1	2	0	0	1	0	1	0	0	0	1	0	0	2	1	0	0	2	1	0	0	1	1	0	1	0	1	1	1	2	0	1	0	1	0	0	0	0	0	0	0	0	1	0	0	2	0	1	0	1	0	0	1	1	0	1	1	2	1	1	0	1	2	0	2	1	0	1	0	1	0	1	0	0	1	0	1	0	0	0	0
0	0	0	0	2	0	0	1	0	1	0	0	1	0	0	1	0	2	1	0	0	2	0	0	2	1	0	1	0	1	0	1	0	1	0	0	1	1	0	0	1	0	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	1	0	1	0	0	1	1	2	2	0	0	0	0	0	1	0	0	2	1	1	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	1	1	1	0	0	0
0	2	1	0	0	0	1	0	0	1	1	0	0	1	0	1	0	1	0	1	1	1	0	0	0	0	0	1	0	2	1	1	1	2	0	0	1	0	0	0	1	0	1	0	2	0	0	0	1	1	0	0	1	1	1	0	2	1	0	0	0	0	0	0	1	0	1	1	0	0	0	0	1	0	0	2	1	1	0	0	1	1	1	1	0	1	1	0	0	1	0	1	0	1	0	0	1	0	0	0	0
0	0	1	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	1	0	2	1	0	1	1	0	0	0	1	1	1	2	0	2	0	1	0	0	1	0	1	1	0	0	0	1	1	0	0	0	0	1	0	1	0	0	0	2	0	0	2	0	0	2	0	0	1	0	1	1	0	2	0	0	0	0	1	0	1	1	1	0	2	1	1	0	0	0	0	0	2	0	0	2	0	0	0	0
0	1	0	1	1	0	0	1	0	1	1	1	0	0	0	1	0	1	0	0	0	1	0	2	0	0	0	0	1	0	0	0	0	1	0	0	1	2	0	0	1	0	0	1	1	0	0	0	1	0	0	0	2	1	0	1	0	1	0	1	0	0	0	0	0	0	2	0	0	1	0	1	0	1	1	1	0	2	0	1	0	1	1	1	0	2	1	1	1	1	0	1	0	1	0	0	0	0	0	0	0
1	1	0	2	0	1	0	0	0	0	1	2	0	2	1	1	0	1	1	1	0	1	0	0	0	1	0	0	0	0	0	1	1	1	1	0	1	1	0	0	2	1	1	2	2	0	0	2	1	0	0	0	0	1	0	2	0	0	1	0	0	0	0	0	0	0	1	0	0	2	0	1	1	1	0	2	1	1	1	0	0	1	1	1	1	1	1	1	1	0	1	1	0	1	2	0	1	0	0	0	0
0	0	0	1	0	0	0	1	1	0	1	0	1	1	0	1	0	1	1	0	1	0	0	0	0	1	0	0	0	0	0	1	0	1	1	0	2	1	0	1	1	1	0	2	1	1	0	0	0	1	0	0	0	1	0	0	1	0	0	1	0	0	0	0	1	1	1	0	0	0	0	1	1	0	0	0	1	1	0	0	0	0	1	0	0	0	0	1	0	1	1	0	0	1	0	1	1	1	0	0	0
0	1	0	0	0	0	0	1	0	1	1	1	1	1	1	1	0	0	1	1	1	1	0	0	0	1	0	0	0	0	1	2	0	2	1	1	1	0	0	0	1	0	1	1	2	0	1	0	0	2	0	0	1	0	0	1	1	0	0	1	1	0	0	0	0	0	0	0	0	1	1	2	1	0	1	1	1	0	0	0	0	2	0	2	2	1	0	1	1	0	1	0	0	2	0	0	1	0	1	1	0
1	0	0	0	1	0	1	1	2	0	0	2	1	1	0	1	0	0	1	2	1	2	0	2	1	0	0	0	1	0	1	0	1	0	2	0	1	0	0	0	0	2	1	1	1	0	0	0	0	0	1	0	1	1	1	0	0	0	0	1	2	0	1	1	0	2	1	1	0	1	1	1	1	0	0	1	1	1	0	1	0	2	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	2	0	0	0
0	1	1	1	1	0	0	0	0	1	1	1	1	1	0	2	0	2	0	0	1	1	1	0	1	1	1	0	0	0	0	0	0	2	1	0	0	1	0	0	1	1	2	1	1	1	0	2	1	1	0	0	1	0	0	1	2	0	0	0	0	0	0	0	0	0	1	1	0	1	0	1	1	1	0	1	1	0	1	1	0	1	0	1	0	0	2	1	1	0	1	0	0	1	0	1	0	0	1	0	0
1	1	0	0	0	1	1	0	0	0	1	1	1	1	0	1	1	1	0	0	1	0	0	0	1	0	0	0	1	0	1	1	1	1	0	0	1	1	0	0	1	1	1	2	1	0	0	0	0	1	1	0	1	0	2	1	1	0	0	0	1	0	0	0	1	1	0	0	0	0	0	0	1	0	1	1	0	2	1	2	0	1	1	1	0	0	2	0	1	1	0	2	0	1	0	0	1	0	0	0	0
0	1	0	1	0	0	0	1	0	0	1	2	1	0	0	2	0	1	1	1	1	0	1	1	0	0	0	0	1	1	0	2	1	1	0	0	1	1	0	0	0	0	0	0	0	0	0	1	1	0	1	0	1	0	0	0	2	0	0	1	0	0	0	0	1	2	1	0	0	0	1	0	0	0	0	2	0	1	0	0	0	1	1	0	0	0	1	0	0	1	1	0	0	0	2	1	0	0	0	0	0
0	1	1	0	0	0	0	0	0	0	0	0	2	0	0	1	1	2	0	0	0	1	0	1	0	0	0	1	2	0	0	2	1	1	1	0	0	0	1	0	1	2	2	2	2	0	2	1	0	1	0	1	0	1	2	1	1	0	0	1	1	0	0	0	0	0	2	0	0	0	0	1	1	0	1	0	1	0	0	1	0	0	0	1	0	0	1	1	0	0	0	1	0	1	0	0	1	2	0	0	0
1	0	0	0	1	1	1	0	0	0	2	1	1	1	0	0	0	1	0	1	1	0	0	1	1	0	0	0	0	0	1	1	0	1	1	1	2	0	1	0	0	0	0	2	1	1	0	1	0	1	0	1	0	1	0	1	0	1	0	0	1	0	0	0	1	1	1	0	0	1	0	1	0	0	0	1	1	0	0	0	0	1	0	0	0	1	1	1	2	0	0	0	0	1	0	1	2	0	0	0	0
1	0	0	0	0	1	0	1	2	1	2	2	1	2	1	1	0	2	1	0	0	1	0	1	0	0	0	0	0	1	0	1	0	1	1	0	2	0	1	0	2	1	2	1	1	0	1	1	1	1	0	0	1	0	1	0	0	1	0	1	1	0	0	1	0	1	0	0	0	1	0	1	2	0	0	0	1	1	0	0	0	1	0	2	0	0	1	1	0	0	0	2	0	1	0	2	1	1	0	0	0
0	1	0	1	0	0	0	0	0	2	0	1	0	1	0	1	0	0	1	0	1	0	0	1	0	2	0	1	0	1	0	0	1	1	0	0	0	2	0	0	1	0	1	2	1	0	0	0	0	0	0	1	0	0	0	1	0	0	0	1	1	0	0	0	0	1	1	1	0	0	0	2	1	0	0	1	0	1	0	2	0	0	1	1	0	1	1	0	2	0	0	2	0	0	1	0	1	0	0	0	0
0	1	0	2	1	2	1	1	1	0	0	1	0	1	0	1	0	1	0	1	2	1	0	0	2	1	1	1	1	1	1	1	0	0	1	0	1	1	0	0	0	1	1	1	2	0	2	0	0	1	1	0	0	1	1	0	0	0	0	1	1	0	0	0	0	2	1	0	0	1	0	0	1	0	0	2	0	1	0	1	0	0	2	0	0	1	2	1	0	1	0	1	0	0	0	0	0	2	0	0	0
0	0	0	0	1	0	1	0	2	1	0	1	1	0	1	1	1	1	1	1	1	1	0	1	1	0	0	0	1	2	1	2	0	0	1	0	1	0	1	0	1	1	0	0	0	0	1	0	0	2	1	2	0	0	0	0	2	0	1	0	1	0	0	0	0	2	2	0	0	1	0	1	2	0	0	2	2	1	0	0	1	0	2	0	0	1	0	2	1	1	0	1	0	1	0	0	1	0	0	1	0
0	2	0	0	0	0	0	0	0	1	1	0	0	0	1	0	1	0	1	2	0	0	0	2	0	0	0	0	1	0	0	0	0	1	0	0	2	1	1	0	0	1	1	0	0	0	0	2	0	1	1	2	1	0	0	1	0	0	1	2	1	0	0	0	0	1	0	0	0	1	0	0	2	2	0	0	1	1	0	1	0	1	0	1	0	1	1	1	1	1	0	0	0	0	1	1	2	1	0	0	0
2	2	0	1	0	0	0	1	0	1	0	1	0	1	2	1	1	2	1	1	0	1	0	0	0	0	0	0	0	0	1	1	0	0	0	1	0	0	1	1	1	0	1	1	2	0	1	0	0	1	1	0	0	0	0	1	1	0	0	1	1	0	0	0	0	0	0	2	0	0	0	1	0	1	0	0	1	1	1	1	1	0	0	1	0	2	0	0	0	1	0	1	0	1	0	0	0	0	0	0	0
1	2	0	1	0	0	0	0	0	0	1	1	1	1	1	0	2	0	0	2	0	1	0	1	0	1	0	0	1	2	1	1	0	1	0	0	1	0	1	0	0	1	1	1	1	0	0	0	0	1	0	1	2	0	0	1	0	1	0	0	0	0	0	1	0	2	1	0	0	0	0	1	0	0	0	1	1	0	1	0	0	1	1	0	0	1	0	0	1	1	1	0	0	0	1	0	1	1	0	0	0
1	1	0	0	0	1	1	1	0	1	1	0	1	1	0	1	0	1	0	0	0	1	0	0	1	1	1	1	1	0	0	0	0	1	1	0	1	0	0	0	2	1	1	1	1	0	0	0	0	1	0	1	0	1	1	2	1	1	0	0	0	1	0	1	1	1	0	0	0	0	0	2	0	0	0	1	2	2	0	1	0	1	1	0	0	1	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0
0	1	1	0	1	0	0	1	0	1	1	0	1	1	0	2	1	1	0	2	1	0	0	2	1	1	1	0	0	0	1	0	1	0	0	0	1	0	0	0	1	1	1	2	0	0	0	1	0	0	0	0	2	0	0	0	0	0	0	0	1	0	0	0	0	1	1	0	0	1	0	1	1	0	0	1	1	0	0	1	0	0	1	1	0	0	2	1	0	1	0	1	0	1	0	0	0	0	0	0	0
0	0	0	0	1	0	0	0	1	2	0	1	1	0	0	1	0	0	1	1	1	1	0	0	1	0	0	0	0	1	0	1	1	2	1	0	0	1	1	0	1	0	0	1	2	0	0	2	0	1	0	0	0	1	1	1	2	0	0	0	0	0	1	0	0	1	2	0	0	0	1	1	1	1	0	1	0	0	1	1	0	1	1	0	0	0	1	0	0	0	1	0	0	0	1	0	0	1	0	0	0
0	1	0	2	0	0	1	0	0	0	1	1	2	1	0	2	0	1	1	1	1	2	0	1	0	0	0	0	0	1	0	1	1	0	1	0	1	1	0	0	0	1	1	0	1	0	0	1	0	1	2	0	0	1	1	1	0	0	0	0	1	0	0	1	0	1	1	0	0	1	0	1	0	0	0	0	0	0	1	0	0	1	0	0	0	1	1	0	1	0	2	1	0	0	0	1	2	0	0	0	0
0	1	0	0	0	0	0	1	1	1	0	2	0	1	0	1	0	1	0	1	1	0	0	0	1	0	1	0	1	0	0	0	0	1	0	1	0	0	0	0	0	0	1	2	0	0	0	1	0	1	0	0	1	0	1	0	0	0	1	0	1	0	1	1	1	1	1	0	0	2	0	2	0	1	0	2	1	2	0	0	0	2	1	0	0	0	0	0	1	0	0	0	0	2	0	0	1	1	0	0	0
0	0	1	2	0	1	1	0	1	0	1	2	1	2	0	0	2	2	0	2	1	2	0	1	2	0	0	0	0	1	0	0	0	2	1	1	1	1	1	0	0	0	1	0	1	0	0	1	0	1	1	0	1	0	0	1	1	0	0	0	2	0	0	0	0	1	1	0	0	1	1	1	2	1	1	2	1	2	1	0	1	0	0	2	1	1	1	2	1	1	2	2	0	1	0	0	2	1	0	0	0
1	0	0	0	0	0	0	1	1	0	1	1	1	0	1	1	1	2	0	0	1	1	0	0	0	1	0	0	0	0	2	0	1	1	1	1	1	2	0	0	0	1	2	1	2	0	0	1	1	1	1	0	0	0	2	0	2	1	1	1	0	0	1	0	0	1	1	1	0	1	1	1	1	0	0	2	1	1	0	0	0	0	0	2	0	0	0	0	1	1	0	0	0	1	1	0	0	0	0	0	0
1	0	0	1	0	1	0	0	0	2	1	0	1	2	0	0	0	0	0	1	1	1	0	1	1	1	0	0	0	0	2	0	1	1	1	1	1	0	0	0	0	1	0	1	1	0	0	0	1	1	0	0	0	1	1	0	1	0	0	1	1	0	1	0	1	1	1	1	0	0	0	1	0	1	0	0	2	1	0	0	0	0	1	1	0	2	2	2	0	1	0	1	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	0	1	1	0	0	1	0	0	0	0	0	2	0	1	0	0	0	1	1	0	0	0	1	0	1	1	2	2	0	1	0	1	1	0	0	2	1	1	1	0	0	0	0	0	1	0	0	2	1	2	1	0	1	1	1	0	0	0	1	2	2	0	0	1	0	0	0	2	0	0	0	2	2	1	0	0	0	0	0	2	1	1	1	0	0	1	0	0	0	1	1	1	0	0	0
0	1	0	0	1	0	1	0	0	0	1	1	0	1	0	2	0	0	1	0	1	0	0	0	1	0	0	0	1	0	1	0	0	1	0	0	1	0	1	0	1	0	1	1	1	0	1	1	0	1	0	1	1	0	2	1	0	0	0	1	1	0	0	0	1	2	1	0	0	0	1	0	1	2	0	1	0	1	0	0	1	1	0	0	0	1	1	1	0	1	0	0	0	2	2	1	0	1	0	0	0
0	0	0	0	0	0	0	0	1	1	1	1	1	1	0	1	0	1	2	1	0	1	0	0	2	0	0	1	0	1	0	1	0	0	2	1	2	1	1	0	0	0	1	1	1	1	1	0	0	1	1	0	2	2	1	1	1	0	0	2	1	0	0	0	0	0	1	0	0	1	0	2	0	0	0	1	0	1	1	0	0	0	1	0	0	1	0	1	1	0	1	0	0	0	0	0	1	0	1	0	0
0	0	0	0	0	0	0	0	1	0	2	0	1	0	1	0	0	2	0	0	2	0	0	1	1	0	1	0	1	0	1	0	1	2	1	0	0	0	0	0	2	1	1	0	2	0	0	0	1	0	0	0	2	0	1	1	1	0	0	0	0	0	0	0	1	0	1	0	0	0	0	0	1	0	0	1	0	1	0	1	0	1	1	0	0	1	0	1	0	2	0	2	0	0	1	1	1	0	0	0	0
1	1	0	2	0	0	1	1	0	0	1	1	0	0	0	1	0	1	1	0	1	0	0	0	2	2	0	0	1	1	0	1	0	0	2	0	1	1	0	0	0	1	0	1	1	0	0	0	0	0	0	0	0	2	0	2	2	1	0	0	2	0	0	1	0	1	0	0	0	1	0	1	1	0	1	1	0	2	0	2	2	2	1	1	1	1	2	0	0	1	0	0	0	0	1	0	0	1	0	0	0
0	0	0	0	0	0	0	1	0	1	1	0	0	0	0	1	0	0	1	1	1	2	1	1	0	0	0	0	0	0	1	0	1	1	1	0	0	1	0	0	0	0	0	2	0	1	2	1	0	0	1	0	0	1	2	0	0	0	0	0	1	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	1	0	0	1	0	1	0	0	0	0	1	1	1	0	0	1	0	1	0	0	1	0	0	0	0
0	1	0	0	0	0	1	0	0	0	1	0	2	0	0	1	0	0	0	1	1	1	0	1	0	1	0	0	1	0	0	1	0	0	1	0	1	1	0	1	0	1	0	2	0	0	1	0	0	2	2	0	1	1	1	0	1	0	0	2	1	0	0	0	0	1	2	1	0	1	1	0	0	0	0	0	1	0	0	1	0	0	0	0	0	2	0	1	1	1	0	0	0	0	1	1	1	0	0	0	0
0	2	0	1	0	0	0	0	1	1	0	2	1	0	2	0	0	0	0	2	1	1	0	0	0	0	1	0	0	0	1	0	1	1	0	0	1	1	0	0	0	1	0	1	0	0	0	1	1	0	1	0	1	1	2	1	2	0	0	0	0	0	1	1	2	0	1	0	0	1	1	1	1	1	0	0	0	1	0	1	1	1	1	1	0	0	1	1	2	1	0	0	0	0	1	2	0	0	0	0	0
1	1	0	1	0	0	1	2	2	0	0	1	0	1	0	1	1	0	1	0	0	0	0	1	1	2	0	0	0	0	0	0	0	1	2	1	1	1	0	1	0	0	0	1	2	0	1	1	0	1	0	0	1	0	0	1	2	0	0	0	2	0	0	0	0	1	1	1	0	2	1	1	1	0	0	1	0	2	1	1	0	2	1	2	0	0	2	1	1	2	0	1	0	1	1	1	1	0	0	0	0
0	0	1	1	0	0	1	1	1	0	1	1	1	0	1	2	0	0	0	2	1	2	0	0	1	0	0	1	0	0	1	1	2	2	1	0	1	0	2	0	0	2	1	1	0	0	0	2	0	1	2	1	0	2	1	0	2	0	0	0	2	0	1	0	0	0	1	0	0	1	0	1	1	1	0	0	0	0	0	0	1	2	0	0	0	2	2	0	1	0	0	0	0	0	1	1	1	0	0	0	0
1	0	0	1	0	0	0	0	1	1	0	2	0	0	2	2	0	1	1	1	0	0	1	0	1	0	0	1	0	0	0	1	1	1	2	1	1	1	0	0	1	1	0	0	1	0	0	1	0	1	0	0	2	0	1	1	0	0	0	1	2	0	0	0	0	1	0	0	0	1	0	2	0	0	0	2	1	0	0	1	0	1	0	1	0	1	1	0	1	0	1	0	0	0	0	1	2	0	0	0	0
0	1	0	1	1	0	0	0	0	2	0	1	0	0	0	1	0	0	0	0	1	1	0	1	2	0	1	0	1	1	0	0	1	0	2	0	0	0	2	0	0	1	1	1	1	1	0	1	0	2	0	0	1	0	1	1	1	0	0	1	1	0	0	1	1	0	1	0	0	1	0	1	0	0	0	0	0	2	0	0	0	1	0	0	0	0	2	1	2	0	1	0	0	0	1	0	2	0	0	0	0
0	0	1	0	0	0	1	0	1	0	1	0	1	0	0	0	1	1	0	0	0	1	0	1	0	0	0	0	1	0	0	0	0	1	0	0	0	2	1	0	2	1	1	2	1	1	0	0	0	0	0	0	0	0	1	1	1	0	0	1	1	0	0	0	0	1	1	0	0	0	0	2	1	0	0	0	0	0	0	1	0	0	1	1	0	2	0	1	1	0	0	0	0	1	1	0	0	1	0	0	0
1	1	0	2	0	0	1	1	0	1	0	0	0	1	0	1	1	2	0	0	1	2	0	1	0	0	0	1	1	1	1	0	2	1	1	0	0	2	0	0	0	1	0	2	1	0	0	0	0	2	0	0	0	1	1	0	1	0	0	0	1	0	0	0	0	1	1	0	0	0	0	2	2	0	0	1	1	2	1	0	0	0	1	0	0	0	2	1	1	1	0	1	0	0	2	1	1	1	0	0	0
0	1	0	0	0	0	0	1	0	0	1	1	1	0	1	1	0	1	0	0	0	0	0	0	1	1	0	0	0	1	0	2	0	0	2	1	0	0	0	0	1	0	1	1	2	0	0	1	1	0	0	0	0	0	1	0	0	0	0	2	1	0	0	0	1	1	1	0	0	0	1	2	0	0	0	1	1	0	0	0	0	0	0	0	0	1	1	0	1	0	0	1	0	0	0	0	1	1	0	0	0
0	2	0	1	0	0	1	0	2	0	1	0	0	0	0	0	0	0	1	2	2	1	0	1	1	1	0	0	1	0	1	0	0	1	2	1	0	1	0	0	0	1	2	1	2	0	0	1	0	1	1	1	2	1	1	1	1	0	0	1	2	0	0	1	0	1	1	0	0	0	0	1	1	1	0	0	0	1	0	0	1	2	1	1	0	1	1	1	1	0	0	0	0	1	1	0	0	0	0	0	0
1	0	0	2	1	0	1	1	0	0	2	1	1	1	0	1	1	1	0	0	2	0	0	1	1	0	0	0	1	0	0	0	0	0	0	2	2	2	1	0	1	0	1	1	0	0	0	2	1	1	1	0	2	0	2	1	0	0	0	0	0	0	0	0	0	1	0	0	0	2	1	1	0	1	0	2	0	1	0	1	0	2	0	1	0	2	0	2	0	0	0	0	0	1	0	0	2	1	0	0	0
0	1	0	0	1	0	1	1	1	1	0	2	0	1	2	1	1	1	1	1	1	0	0	1	1	1	0	0	0	0	2	1	0	2	0	0	1	1	0	0	1	2	1	1	2	0	0	2	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	1	1	0	0	0	1	0	0	1	1	0	1	0	1	0	0	0	2	1	1	0	1	1	1	0	0	0	0	0	0	1	1	0	0	0	0	0
0	1	0	0	0	1	0	0	1	0	1	0	0	1	1	1	0	0	0	0	2	1	0	0	1	0	0	0	0	0	0	1	0	1	0	0	1	1	0	0	0	0	0	0	2	0	1	0	1	1	1	0	2	1	1	1	0	0	0	1	0	0	0	0	0	0	1	0	0	0	0	0	0	1	0	1	1	1	0	1	0	1	0	1	0	0	1	0	1	0	0	1	0	1	0	1	0	0	0	0	0
0	2	0	1	0	0	0	0	1	0	0	2	1	1	1	0	0	0	0	1	1	0	1	1	1	1	0	0	0	0	1	1	1	2	1	0	1	1	0	0	1	0	0	1	1	0	1	1	0	1	0	1	0	0	0	1	2	0	0	2	0	0	0	0	0	1	0	0	0	0	0	0	1	2	0	2	1	0	1	1	0	0	0	0	0	2	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0
0	0	0	0	0	0	1	0	1	1	1	0	1	1	0	1	0	1	1	1	1	0	0	0	0	0	1	0	1	0	1	0	0	0	1	1	0	2	0	0	1	1	2	1	1	0	0	1	0	1	1	1	0	1	2	1	0	0	0	0	0	0	0	0	1	0	2	0	0	0	0	1	0	1	0	1	0	0	0	0	0	0	1	0	1	2	1	2	0	0	0	0	0	0	1	1	1	1	0	0	0
0	1	0	0	0	0	1	1	1	0	1	2	1	1	1	2	0	0	0	1	0	1	0	1	0	1	1	0	0	1	0	1	0	1	1	0	0	2	1	0	2	2	0	1	0	0	0	0	0	1	0	1	2	0	0	1	1	0	0	1	1	0	0	1	0	0	1	0	0	0	0	1	1	1	0	0	0	0	1	0	0	1	0	1	0	1	0	2	1	1	0	0	0	0	0	0	2	0	0	0	0
0	0	1	0	0	0	1	0	1	0	1	1	0	2	1	0	0	1	1	0	2	2	1	0	0	0	0	1	0	1	2	1	0	0	2	0	1	0	1	0	1	2	0	0	0	0	0	0	1	0	0	0	1	1	1	2	0	0	1	1	0	0	0	1	1	1	0	0	0	1	1	0	2	1	0	2	0	2	0	0	0	0	0	1	0	0	1	1	0	1	0	0	0	1	0	0	1	1	0	0	0
0	0	0	1	0	0	0	0	1	0	1	0	2	2	1	2	2	1	0	1	0	1	0	0	1	1	0	0	1	0	0	0	0	1	1	1	1	0	0	0	0	1	0	0	1	0	1	0	0	0	0	0	1	1	0	0	1	1	0	1	2	0	0	1	0	1	0	1	0	1	0	1	2	0	0	0	1	0	0	0	0	1	0	0	1	2	1	2	1	1	0	1	0	0	2	1	2	0	0	0	0
0	2	0	1	0	1	0	0	1	0	0	0	1	1	0	2	0	0	0	2	1	2	0	0	0	0	1	0	2	0	0	0	0	1	0	0	1	1	0	0	1	1	0	1	1	0	0	0	2	0	0	1	1	0	1	0	1	0	0	0	1	0	0	1	1	0	1	0	0	1	1	1	2	0	0	1	1	2	1	0	0	1	1	1	0	1	1	1	2	0	0	1	0	0	0	1	2	0	0	1	0
1	1	0	1	0	0	0	0	1	0	0	1	1	1	0	1	0	0	1	0	2	1	0	0	0	0	0	0	0	1	0	1	1	1	2	0	0	0	0	0	1	0	1	2	1	0	0	0	0	1	0	1	1	1	2	2	1	0	0	2	1	0	1	0	1	1	1	0	0	0	0	1	1	0	1	1	1	2	1	0	0	1	0	1	0	0	2	1	0	0	0	1	0	1	1	1	0	1	0	0	0
0	1	0	2	0	0	1	1	0	1	0	0	0	1	1	1	0	1	0	0	0	0	0	0	1	1	0	1	0	1	1	1	2	0	1	0	2	0	1	0	0	1	1	1	1	1	0	1	0	1	0	0	0	0	0	0	0	0	1	1	2	0	0	0	0	0	2	0	0	0	0	0	0	0	0	2	1	2	1	0	0	2	0	1	0	0	0	1	2	0	1	1	0	1	0	0	1	1	0	0	0
0	1	0	0	0	1	0	0	1	0	0	2	0	0	0	1	0	1	1	0	1	1	0	0	0	0	0	0	0	0	0	1	0	1	2	0	1	1	0	0	0	1	0	1	0	1	0	2	0	0	0	0	1	0	2	1	1	0	0	0	1	0	0	0	1	0	0	0	1	1	0	0	1	1	0	1	2	1	0	0	1	1	0	0	0	0	1	1	1	0	0	0	0	2	1	0	1	1	0	0	0
1	1	0	1	1	0	0	1	1	0	1	2	0	0	0	1	1	0	0	1	0	1	0	2	1	0	1	0	0	2	1	1	1	1	1	0	2	0	0	0	0	2	1	0	2	0	0	0	0	1	1	0	1	1	0	1	0	0	0	0	1	0	0	1	0	1	1	0	0	0	0	1	0	1	1	1	1	1	1	0	0	0	0	2	0	1	1	1	0	0	1	2	0	0	0	0	0	0	0	0	0
0	0	0	0	1	0	0	0	1	1	2	1	0	0	0	1	0	0	0	1	1	1	0	0	1	0	0	0	1	0	0	1	1	0	1	0	2	1	0	0	0	0	1	1	1	0	0	1	1	0	1	0	1	1	1	0	0	1	0	1	1	0	0	0	0	1	1	0	0	0	0	1	2	0	0	0	2	0	0	0	0	1	0	0	0	1	1	1	1	1	0	0	0	1	1	0	1	2	0	0	0
1	1	0	1	1	0	0	2	2	2	1	2	1	0	0	0	0	2	1	1	0	1	0	0	0	1	0	0	2	1	1	0	1	1	0	0	1	0	0	0	0	0	1	1	1	0	2	1	1	0	0	1	2	0	0	0	2	1	0	0	0	0	0	1	0	0	2	0	0	2	1	0	2	0	1	1	0	0	0	0	0	1	1	1	0	0	1	2	0	1	0	0	0	1	1	0	0	1	1	0	0
0	0	2	0	0	2	1	0	0	0	1	0	0	2	0	0	0	1	0	1	1	1	0	0	0	0	0	0	0	1	1	0	0	0	1	0	2	0	1	0	0	2	0	1	1	0	0	1	0	1	1	1	1	1	1	2	1	0	0	1	1	0	0	1	0	1	0	0	0	2	0	1	1	1	0	2	1	2	0	0	1	2	0	2	0	0	1	1	1	2	0	0	0	1	1	0	1	0	0	0	0
0	0	0	0	0	0	0	0	1	0	2	1	0	2	0	1	0	2	0	2	1	0	1	0	1	0	1	1	0	1	0	0	0	1	1	0	2	1	0	0	0	1	0	1	1	0	0	0	0	1	0	1	1	1	0	1	0	0	1	1	0	0	0	0	1	0	0	0	0	0	0	0	0	1	0	0	1	1	0	1	0	1	0	1	0	1	1	0	0	0	0	0	0	0	1	2	2	1	0	0	0
1	2	0	1	0	0	1	0	0	1	1	2	1	0	0	1	0	1	0	2	2	0	0	0	2	1	0	1	1	1	0	1	1	2	1	1	0	1	0	0	1	0	2	1	2	0	0	0	0	0	1	0	0	2	1	0	0	0	0	1	2	0	0	0	1	2	0	0	1	0	0	0	1	0	0	0	2	1	1	1	0	0	0	1	0	2	1	0	0	1	0	1	0	1	0	0	0	2	0	0	0
0	1	0	1	2	0	0	2	0	0	0	0	1	2	0	0	0	0	1	0	1	1	1	1	0	0	0	0	1	2	1	1	0	1	0	0	0	0	0	0	0	1	0	1	0	0	1	1	0	0	0	0	0	1	2	1	0	1	0	1	2	0	1	0	0	1	1	2	0	1	0	1	0	0	0	0	1	0	0	1	0	0	0	0	0	1	1	1	1	0	0	1	0	1	0	0	1	2	0	0	0
0	0	0	0	0	1	0	1	0	2	2	2	2	2	0	0	0	2	1	1	0	2	0	0	2	0	0	0	0	1	0	0	0	2	1	0	0	2	0	0	1	1	1	0	0	0	0	1	0	1	0	1	0	1	1	0	0	0	0	0	2	0	0	0	1	2	2	0	0	0	1	0	1	1	0	1	0	1	0	0	0	2	0	0	0	2	1	0	0	2	0	1	0	0	0	1	0	1	0	0	0
0	1	0	0	0	1	1	0	0	0	1	0	1	0	0	1	0	0	0	2	1	1	0	0	1	0	1	0	0	1	2	2	0	0	1	0	1	1	0	0	2	0	0	1	1	0	0	1	1	1	1	1	0	1	1	1	1	0	0	1	2	0	0	0	0	1	0	0	0	1	0	2	1	0	0	1	2	0	1	1	1	0	1	0	1	0	1	0	0	1	0	0	0	0	2	0	2	0	0	0	0
0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	1	0	0	1	0	1	0	0	2	1	1	1	0	0	0	0	0	2	0	0	0	0	0	0	0	1	0	0	0	2	0	0	0	0	0	0	0	1	0	1	1	1	0	1	0	1	0	2	1	1	2	2	1	0	0	0	1	1	2	0	0	0	2	0	0	0	0	0	1	0	1	2	1	0	0	0	0	0	1	1	1	1	1	0	0	0
0	0	1	1	0	0	0	0	0	0	1	2	2	0	0	2	0	1	1	0	0	0	1	0	0	0	0	0	0	0	0	1	1	1	1	1	0	0	0	0	0	1	0	1	1	0	0	1	0	0	0	0	1	0	1	0	1	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	2	0	0	1	2	2	0	1	0	0	0	1	0	2	0	1	1	0	0	0	0	1	0	0	1	2	1	0	0
1	1	0	0	1	0	2	0	1	0	1	1	0	1	0	0	0	1	1	0	0	2	0	1	0	0	0	0	0	0	0	1	0	1	0	1	1	1	0	0	0	1	1	1	1	0	0	0	1	0	0	0	0	1	2	2	0	0	1	0	0	0	0	0	1	1	2	0	0	2	0	1	1	2	0	1	1	0	0	1	0	0	1	1	1	0	2	0	2	0	0	1	0	0	0	0	2	1	0	0	0
0	1	0	1	0	1	0	0	1	0	0	1	1	1	0	1	1	1	1	1	0	2	1	0	1	1	0	0	0	0	0	0	0	1	2	0	2	0	1	0	0	2	1	0	2	0	2	1	0	1	0	1	1	0	1	1	1	0	0	0	1	0	0	0	0	0	1	0	0	1	0	1	1	0	0	0	2	1	0	0	0	1	0	1	0	2	2	1	1	1	0	0	0	0	0	1	0	2	0	0	0
0	1	0	2	0	1	0	1	2	1	1	1	1	1	0	1	0	1	0	1	1	0	0	1	0	0	0	0	0	1	0	1	0	1	2	0	2	0	1	0	1	0	1	1	0	0	0	0	0	0	0	0	2	0	2	1	0	0	1	1	1	0	0	0	0	0	1	0	0	1	1	1	1	0	1	1	1	1	0	0	0	0	0	0	1	2	2	1	1	0	1	0	0	0	0	0	0	1	0	1	0
0	1	0	0	0	0	1	0	1	0	1	0	0	1	0	0	0	1	1	0	0	1	0	0	1	1	0	0	0	0	1	1	1	1	1	0	1	1	1	0	1	0	1	1	2	0	0	0	0	1	0	0	1	1	1	1	1	0	0	0	1	0	0	0	0	2	0	0	0	0	1	1	0	0	0	0	0	1	1	1	0	1	1	0	0	1	2	2	0	0	0	1	0	0	0	1	2	1	0	0	0
0	1	0	2	0	1	0	0	1	0	2	1	1	0	0	1	0	0	0	1	2	0	0	0	0	1	0	2	0	1	1	1	0	0	1	0	2	1	0	0	1	1	0	2	1	2	1	0	1	0	0	0	0	0	1	1	0	0	0	0	1	0	1	0	0	0	1	1	0	0	0	2	0	0	0	2	0	1	1	1	0	1	1	0	0	0	1	1	1	0	0	0	1	1	0	1	1	0	0	0	0
1	2	0	0	0	0	0	1	0	1	1	2	1	0	0	1	0	2	0	2	0	2	0	1	0	1	0	0	0	0	2	0	0	1	0	0	1	0	0	0	0	1	0	1	2	0	1	1	0	0	0	0	0	0	1	0	2	0	1	1	0	0	0	0	0	2	1	0	0	1	0	2	1	0	0	1	0	2	0	1	1	1	0	1	1	1	1	1	1	1	0	1	0	1	1	0	0	0	0	0	0
0	0	0	1	0	0	0	0	2	0	0	1	0	1	0	2	1	2	0	1	1	1	0	0	0	0	1	1	0	0	0	1	0	0	2	0	2	0	0	0	0	2	1	1	0	1	0	0	0	1	0	0	0	1	2	1	0	0	1	0	0	0	1	0	1	1	1	0	0	1	1	1	0	1	0	0	0	1	1	0	0	1	1	1	0	1	1	1	0	1	0	1	0	1	1	1	1	1	0	0	0
0	2	0	1	0	1	1	0	0	1	2	0	1	0	0	0	0	0	1	0	0	2	0	0	2	1	1	0	1	1	0	0	0	1	1	0	1	0	2	0	1	1	2	1	1	0	0	2	0	1	0	1	1	0	0	1	0	0	1	0	2	0	0	0	0	0	2	0	0	2	0	1	1	0	0	2	2	1	0	1	1	0	0	1	1	0	0	1	1	0	0	0	0	0	0	0	0	1	0	0	0
0	2	0	2	1	0	1	1	1	0	1	1	1	0	1	0	2	1	1	0	0	1	1	1	0	0	0	0	0	0	2	0	0	1	1	0	2	1	0	0	1	0	0	0	1	0	0	0	0	0	0	1	0	0	0	0	0	1	0	0	2	0	2	1	0	0	1	0	0	1	1	1	0	1	0	0	1	1	1	0	0	0	0	0	1	0	1	1	1	1	0	0	0	1	2	1	0	2	0	0	0
0	0	0	0	0	0	0	0	1	1	1	1	1	0	0	1	0	1	0	0	0	2	0	0	2	0	0	0	0	0	0	1	1	1	0	0	1	1	0	0	0	1	1	2	2	0	1	1	0	0	0	0	2	0	1	1	1	0	1	0	0	0	0	0	0	1	1	0	0	0	0	0	1	0	0	0	1	0	1	0	0	1	0	1	0	1	1	0	0	0	0	1	0	1	2	1	1	0	0	0	0
0	1	0	0	0	0	0	0	0	0	0	0	1	1	0	0	2	1	0	1	1	1	0	0	1	1	1	0	0	0	1	2	0	1	1	0	0	1	0	0	1	0	2	1	0	0	0	0	0	1	0	0	1	0	1	1	1	0	1	1	0	0	0	0	0	2	0	0	0	1	0	1	0	0	1	2	0	1	1	0	1	0	1	0	0	1	2	2	2	0	0	0	0	0	1	0	1	1	0	0	0
0	2	0	0	0	1	1	0	1	1	0	2	1	1	0	1	0	1	2	0	1	0	0	2	1	0	0	0	0	0	0	2	0	1	0	0	1	0	1	0	0	1	1	2	1	0	0	0	1	1	0	0	0	1	0	1	0	0	0	0	2	0	0	0	0	0	1	0	0	0	1	0	0	0	1	1	1	2	0	1	1	1	1	2	0	1	2	1	1	0	0	1	0	1	0	0	0	0	0	0	0
0	2	0	1	2	2	1	0	0	0	1	1	0	1	0	1	0	1	0	1	1	1	0	1	2	1	1	0	1	0	0	0	1	1	1	2	0	1	1	0	0	1	2	1	1	0	0	1	0	2	0	0	1	0	1	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	1	0	1	0	0	0	1	0	0	0	1	2	1	1	0	0	0	0	0	0	1	1	1	2	0	0
0	1	0	0	1	0	0	0	1	0	0	1	0	1	0	1	2	0	0	1	1	2	0	0	1	1	0	0	0	0	1	1	1	2	2	1	2	0	1	0	2	0	1	1	2	0	0	2	0	1	1	2	0	1	1	2	2	0	0	0	1	0	0	0	0	2	2	0	0	0	0	1	0	1	0	1	0	2	0	1	0	0	0	0	1	1	1	1	1	1	0	0	0	1	1	1	1	0	0	0	0
1	1	0	0	0	1	0	1	0	0	2	2	0	0	0	0	0	1	0	0	1	1	0	0	0	0	0	0	1	1	1	1	0	2	0	1	1	1	0	0	0	1	1	2	1	0	0	0	1	0	0	1	0	0	0	1	2	0	0	0	2	0	0	0	0	2	1	0	0	1	1	1	0	1	0	1	0	1	1	0	2	0	1	0	0	1	1	0	0	0	0	1	0	1	1	0	1	1	0	0	0
0	1	0	0	0	0	1	1	0	0	1	1	0	0	0	1	0	2	0	1	0	1	0	0	1	2	1	0	1	1	1	1	0	1	2	0	2	1	0	0	0	1	0	1	1	0	0	1	0	0	0	2	1	0	0	0	1	0	1	1	1	0	0	0	1	1	2	0	0	0	0	1	0	0	0	1	2	1	0	0	0	0	1	1	1	2	1	0	1	0	0	0	0	2	0	1	1	0	0	0	0
1	0	0	0	0	0	1	0	2	1	1	1	0	0	1	0	1	2	1	1	1	2	0	2	1	0	0	0	1	0	1	1	0	2	1	1	1	1	1	0	0	0	0	0	2	0	0	1	0	0	0	2	0	1	2	1	1	0	0	0	0	0	0	0	0	0	1	0	0	1	1	1	1	0	0	1	0	1	1	1	0	1	0	0	0	0	1	1	0	0	0	1	0	0	1	0	1	1	0	0	0
0	0	0	1	0	0	1	1	1	0	2	0	0	0	0	1	0	1	0	1	2	1	0	0	0	1	1	0	0	1	0	0	2	2	1	0	1	0	1	0	0	1	1	2	0	0	0	0	0	1	0	2	0	0	2	0	1	0	0	1	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	1	1	2	0	1	0	1	0	0	0	0	1	1	1	0	0	1	0	0	2	0	0	0	0	0	0
1	0	0	0	0	0	1	0	0	0	0	1	1	0	0	1	0	2	0	0	2	1	0	1	0	0	0	0	1	1	1	1	1	0	2	0	1	1	1	0	1	2	0	0	0	0	0	2	0	1	0	0	1	0	1	1	2	0	2	1	0	0	0	1	1	1	1	0	0	1	1	2	0	0	0	0	1	1	1	1	0	0	1	0	1	0	1	2	1	0	1	1	0	1	0	1	2	1	0	0	0
0	0	0	1	0	0	1	0	0	0	0	1	0	0	0	2	0	2	0	0	1	0	0	1	0	0	0	0	0	1	1	0	0	2	2	1	1	1	0	0	0	1	1	0	0	0	1	2	0	0	0	0	2	1	1	0	1	0	0	1	1	0	0	1	0	0	0	0	0	1	0	1	0	1	2	1	0	0	1	0	0	0	0	1	0	1	1	2	1	0	0	1	0	1	1	0	0	0	0	0	0
0	1	0	0	1	1	0	0	0	0	1	2	0	0	1	2	1	1	1	0	1	1	0	0	0	0	0	0	0	0	1	0	0	1	1	0	0	0	1	0	0	0	1	0	1	0	0	2	1	1	1	1	1	1	1	2	1	0	0	2	1	0	0	1	0	1	1	0	0	0	0	1	0	0	0	1	1	1	0	2	0	1	0	0	0	0	1	1	0	0	1	0	0	1	0	1	2	0	0	1	0
0	0	0	0	0	0	1	1	0	0	1	1	1	1	0	1	0	1	1	0	2	0	0	0	0	0	1	0	0	0	1	0	1	1	0	0	0	1	0	0	2	0	0	1	0	1	0	0	1	1	0	1	2	2	2	0	1	0	0	0	2	1	0	0	0	2	0	0	0	2	0	1	2	0	0	0	0	1	0	2	0	1	1	1	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0
1	0	1	1	0	0	0	2	1	1	1	0	1	2	0	1	0	1	1	2	0	0	0	1	1	1	1	1	1	0	2	0	1	1	1	0	2	0	1	1	1	0	1	1	1	0	0	1	1	1	0	0	1	1	2	1	0	0	0	0	1	0	0	0	0	2	1	0	0	1	1	1	1	1	0	0	1	0	0	1	0	1	0	1	0	1	1	0	0	1	1	0	0	0	1	0	0	2	0	0	0
1	1	1	1	0	1	0	0	1	0	1	2	2	1	0	2	1	1	0	2	1	1	1	2	0	1	0	2	0	2	0	1	0	0	1	0	0	0	0	0	2	2	1	1	1	0	0	2	0	1	1	1	2	1	1	0	2	0	0	0	0	0	1	0	1	2	0	0	0	2	0	0	2	0	0	1	1	0	1	1	0	1	2	1	0	1	1	1	1	1	0	0	0	1	1	0	0	0	0	0	0
0	2	0	0	1	0	0	0	0	0	1	1	0	2	0	0	0	0	0	1	1	1	0	0	0	0	1	0	0	0	0	0	0	2	0	0	2	1	0	0	0	0	0	0	0	1	0	0	0	2	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	1	0	1	0	2	1	0	0	2	0	0	0	1	0	1	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0
0	0	0	1	1	0	1	1	0	1	1	1	0	0	0	1	1	1	1	0	0	0	0	0	0	1	0	1	1	0	0	0	1	0	2	1	0	1	0	0	0	1	1	0	2	0	0	1	0	0	0	0	1	0	2	2	0	0	0	0	2	0	0	1	1	1	1	0	0	0	1	1	1	0	0	2	1	1	0	0	0	0	0	0	1	0	0	2	1	1	0	1	0	1	0	0	1	1	1	0	0
1	1	0	1	1	0	0	0	0	0	1	1	1	2	1	1	0	1	0	2	1	0	0	2	2	0	0	0	1	1	1	1	0	0	1	1	0	2	0	0	1	0	1	2	1	1	0	1	0	0	1	0	1	0	1	1	1	0	0	0	0	0	0	1	1	0	1	1	0	0	0	0	0	0	0	2	0	0	0	1	0	2	0	0	1	0	2	0	0	0	0	0	0	1	0	1	0	2	0	1	0
0	1	0	0	0	0	1	1	0	0	0	0	0	0	0	1	1	1	1	2	1	0	0	0	1	0	0	2	0	0	1	2	0	1	0	0	2	0	0	0	1	1	0	1	1	1	0	0	0	1	1	1	1	1	1	0	1	0	1	1	0	0	0	0	1	2	2	0	0	1	1	1	1	0	0	2	0	1	0	0	1	1	1	2	0	1	0	0	1	1	0	0	0	1	0	0	1	1	0	0	0
0	2	0	0	0	1	1	0	0	0	0	0	0	2	1	1	0	2	0	1	1	2	0	0	1	0	1	0	1	0	1	0	0	1	0	1	0	2	1	1	0	1	0	1	1	0	0	0	1	2	1	1	0	1	1	2	2	0	0	0	0	0	0	0	1	1	1	0	0	1	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	2	0	1	1	1	0	0	1	2	1	1	0	0	0	0
0	1	0	0	0	0	1	0	1	1	0	2	1	0	1	1	1	0	1	0	1	2	0	0	1	1	1	0	1	0	0	1	2	0	2	0	2	0	0	0	0	0	1	1	1	0	0	0	1	2	0	1	2	0	0	0	1	0	0	0	0	0	1	0	0	0	2	0	0	1	0	1	1	0	0	1	0	1	0	1	0	0	1	0	0	1	2	0	1	0	1	0	0	1	0	2	0	0	0	0	0
0	1	0	0	0	0	0	1	0	1	1	0	0	1	0	2	1	1	1	1	1	1	0	1	1	0	1	0	0	0	0	2	1	0	2	0	0	1	0	0	0	1	2	0	0	0	0	2	0	1	1	0	1	1	1	1	1	1	0	0	0	0	0	1	0	1	1	0	0	0	0	1	1	0	0	2	0	1	0	0	0	1	1	1	0	1	1	1	2	0	0	0	0	1	0	0	1	1	0	0	0
0	1	0	0	0	1	1	0	0	1	0	1	0	2	0	1	1	0	0	1	1	1	0	0	0	0	0	0	0	1	0	2	1	1	2	0	2	1	0	0	1	1	0	1	0	1	0	1	0	0	0	0	0	1	1	1	1	0	0	1	2	0	0	0	0	1	2	0	0	0	0	2	1	0	0	1	0	2	0	1	0	1	0	1	0	1	1	1	0	2	1	1	0	1	0	0	1	1	0	0	0
1	2	0	2	0	0	0	0	1	1	2	0	1	1	0	1	0	0	1	1	1	0	0	1	0	0	0	0	0	1	0	0	1	1	2	0	2	2	1	1	0	1	2	1	1	0	0	1	0	0	0	2	0	1	0	0	1	0	1	0	0	0	1	1	1	1	2	0	1	1	1	0	2	1	1	1	2	1	1	0	0	0	0	0	0	2	1	0	1	1	0	0	0	2	1	0	2	0	0	0	0
0	1	0	2	0	0	1	0	2	0	2	2	2	2	2	2	0	0	0	0	2	1	0	1	0	1	0	0	1	0	1	0	0	0	0	0	1	1	0	0	0	0	0	1	2	0	0	0	0	1	1	0	0	1	0	2	0	0	0	0	0	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	0	2	1	1	0	1	0	1	0	1	1	2	2	0	1	0	0	0	1	0	1	0	0	0	0
1	0	0	0	2	0	0	0	0	0	0	1	1	0	0	2	0	1	1	0	0	2	0	2	0	0	0	0	1	1	0	0	1	1	1	0	1	0	0	0	0	0	1	0	1	0	1	0	0	0	0	1	0	0	1	1	0	0	0	1	0	0	0	0	0	0	1	0	0	2	0	2	0	0	1	1	1	1	0	2	0	1	0	1	0	1	2	1	1	0	0	1	0	1	1	1	0	0	0	0	0
0	1	0	1	1	1	0	0	0	2	0	2	0	0	1	1	0	1	0	1	2	1	0	0	1	0	0	0	1	0	1	1	0	0	0	0	1	0	0	0	0	1	1	0	0	0	0	0	1	1	0	1	1	0	0	0	0	0	0	0	1	0	0	0	1	1	1	0	0	1	1	0	0	0	0	0	2	2	0	0	0	2	1	0	0	1	1	2	1	0	1	0	0	1	0	1	1	1	0	0	0
0	1	0	1	2	0	0	0	0	1	0	1	0	1	0	1	2	0	1	0	2	1	1	0	1	1	0	1	1	0	0	1	0	2	0	0	1	2	0	0	1	1	1	2	1	1	0	1	0	0	0	1	1	0	1	0	1	0	1	2	1	0	0	1	1	1	0	1	0	1	0	1	0	1	0	1	1	1	0	0	0	2	1	1	1	1	1	0	1	2	0	1	0	1	1	0	0	0	0	0	0
0	1	0	0	0	0	0	0	0	0	0	1	1	1	0	1	0	0	1	1	1	2	1	0	0	0	0	1	1	1	0	0	0	0	2	1	1	1	1	0	0	1	0	1	2	1	1	0	0	1	0	0	1	0	1	0	1	0	0	0	2	0	0	0	2	1	1	1	0	1	0	0	1	0	1	2	1	0	0	0	1	2	1	1	1	2	2	0	0	1	1	1	0	0	0	0	1	1	0	0	0
0	0	0	1	0	0	1	0	1	2	2	1	0	0	0	0	0	1	0	1	1	1	0	0	1	0	0	0	1	0	0	0	0	1	0	1	2	2	1	0	1	0	2	1	1	0	0	1	0	0	0	0	1	2	0	0	1	0	0	2	1	0	0	1	1	0	1	0	0	0	0	2	0	1	0	1	0	0	0	1	1	0	1	2	0	0	2	0	1	0	0	0	0	0	0	0	1	1	0	0	0
0	1	0	1	0	1	0	1	0	1	0	2	1	2	0	1	1	1	0	1	1	1	0	0	1	1	0	0	0	1	0	0	0	1	0	0	1	0	1	0	1	0	0	2	1	1	0	0	0	1	2	1	0	0	2	1	0	1	2	1	0	0	1	0	0	1	0	1	0	1	0	2	1	0	0	2	1	1	1	1	0	1	1	1	0	1	2	1	0	1	0	0	0	2	1	0	0	0	0	0	0
0	1	0	0	0	0	0	0	0	0	0	2	1	0	1	1	1	2	1	1	1	1	0	2	0	1	0	0	0	0	1	0	1	1	1	0	1	1	1	0	0	0	2	1	2	0	0	1	1	0	0	0	0	0	0	2	1	0	0	0	1	0	0	0	0	0	0	0	0	1	0	0	0	1	0	1	1	1	1	1	0	1	1	0	0	1	1	0	1	0	0	1	0	0	1	1	0	1	0	0	0
0	0	0	1	0	0	1	1	2	0	0	0	1	0	0	1	0	1	0	1	1	1	0	0	0	0	0	0	1	0	1	1	1	0	1	1	2	0	0	0	0	1	1	2	2	0	0	1	0	1	0	1	1	0	1	2	2	0	0	1	1	0	0	0	0	1	1	0	0	1	0	2	0	0	0	0	1	0	0	0	0	0	1	0	0	1	2	1	1	1	0	1	0	1	1	0	2	0	0	1	0
0	0	0	0	0	0	0	0	0	1	1	1	0	1	2	1	0	1	1	1	1	1	0	1	1	1	0	0	0	2	0	2	1	1	2	1	2	0	1	0	0	1	0	1	1	1	0	1	0	1	0	0	0	1	0	2	0	2	0	1	0	0	0	0	0	1	0	0	0	0	0	0	1	0	0	1	2	0	0	0	0	0	1	0	0	0	0	0	2	1	0	0	0	1	0	0	1	1	0	1	0
0	1	0	0	0	0	0	1	1	0	1	1	1	1	1	0	1	1	0	0	1	2	0	1	0	2	0	0	0	1	2	1	1	2	2	1	0	1	0	0	0	0	2	2	0	0	0	0	1	0	0	1	1	0	1	0	1	0	0	0	1	0	0	1	0	1	2	1	0	1	0	2	0	1	0	0	0	1	0	0	0	1	0	0	0	2	1	1	2	1	1	0	0	1	1	1	0	1	0	0	0
0	0	0	1	0	0	0	0	0	0	2	2	0	2	0	1	0	0	1	1	0	1	0	1	1	0	1	0	0	0	1	0	0	1	1	1	1	0	2	0	0	0	1	0	0	1	0	0	0	1	2	0	0	0	2	0	1	0	0	0	1	0	1	0	1	0	0	0	0	1	0	0	2	1	0	0	1	1	1	0	0	1	0	0	0	2	0	1	1	1	1	1	0	0	0	0	0	1	1	0	0
1	1	0	1	0	1	0	0	0	2	2	0	0	1	1	1	0	1	0	0	0	1	0	0	1	0	1	0	0	1	1	0	0	1	2	0	2	1	0	0	1	2	1	0	2	0	0	0	0	1	0	2	1	1	0	0	1	0	0	1	2	0	0	1	1	1	1	0	0	0	1	1	1	0	0	0	1	0	0	1	1	0	1	1	0	0	2	0	0	0	0	0	0	1	1	0	1	1	0	0	0
0	1	0	0	0	0	0	1	0	0	0	2	1	1	0	1	0	1	0	1	0	1	0	1	2	1	0	0	1	0	1	0	1	2	1	1	2	0	0	0	0	1	1	2	1	0	0	2	0	0	0	0	0	0	2	0	1	0	0	0	0	0	1	1	0	0	1	0	0	1	0	0	2	0	0	1	1	1	0	0	0	1	0	1	0	1	1	2	1	0	1	0	0	1	2	0	1	0	1	0	0
0	0	0	0	1	0	0	0	1	0	1	0	1	0	1	2	0	1	0	2	0	0	0	0	1	0	0	0	1	1	0	1	0	1	1	0	2	1	0	0	1	0	0	1	2	1	0	1	0	2	0	1	0	0	1	1	1	1	0	0	0	0	0	0	1	1	0	0	0	1	0	1	1	0	0	2	0	0	0	0	1	0	1	2	0	0	1	1	0	0	0	0	0	0	0	1	0	0	0	0	0
0	0	0	1	1	0	1	1	2	1	0	0	1	1	1	0	1	1	0	2	0	2	0	0	2	1	0	0	0	0	0	0	0	1	1	0	0	0	0	0	1	0	2	1	0	1	0	0	1	1	0	1	1	1	2	1	0	0	1	0	1	0	0	0	1	2	1	0	0	0	1	0	1	1	0	1	2	1	0	0	0	1	0	1	0	1	1	1	1	0	0	0	0	0	0	0	2	0	0	0	0
1	2	0	0	1	0	0	1	0	0	1	1	1	1	0	0	0	0	0	2	1	1	0	0	0	1	0	0	1	1	1	1	0	0	1	1	0	1	0	0	0	1	2	0	2	0	0	1	0	1	1	0	1	1	2	2	1	1	1	0	2	0	0	0	0	2	2	0	0	0	0	1	1	1	0	0	1	2	1	0	1	1	0	0	0	1	1	1	1	1	1	0	0	2	0	0	2	0	0	0	0
0	1	0	0	0	0	0	0	1	1	0	2	1	0	0	2	1	0	1	1	1	1	0	0	0	1	1	0	0	0	1	2	0	1	2	1	1	0	0	0	0	0	0	1	2	1	0	2	1	1	1	0	2	1	1	0	0	0	0	0	1	0	0	0	0	0	1	0	0	2	0	1	2	0	0	0	0	0	0	0	0	1	0	0	2	0	0	1	0	0	0	1	0	1	0	0	1	1	0	0	0
0	2	0	0	0	0	0	1	0	0	0	1	0	0	0	1	1	0	0	1	2	1	0	0	0	0	0	0	1	1	0	0	0	0	1	0	1	1	1	0	2	1	1	0	0	0	0	1	0	1	0	1	1	0	0	1	1	0	1	0	1	0	0	1	0	2	1	0	0	0	1	1	0	1	1	2	1	1	0	1	0	1	1	0	0	0	2	0	1	0	1	0	0	0	0	0	1	1	0	0	0
0	1	0	1	0	0	0	0	0	1	1	1	1	0	1	1	0	0	2	0	2	1	1	0	0	0	0	0	0	1	0	2	1	1	0	0	1	1	0	0	1	0	1	1	2	0	0	0	1	1	0	0	0	1	0	1	0	0	0	1	1	0	0	0	0	1	2	0	0	0	0	1	1	0	0	1	1	0	1	0	0	1	0	2	0	1	1	1	0	0	0	0	0	0	1	1	0	1	0	1	0
0	1	0	0	0	0	1	0	0	1	0	1	0	0	1	0	1	2	1	0	0	0	0	0	1	1	0	2	1	0	1	2	0	1	1	0	1	0	1	0	0	1	0	0	1	0	1	0	0	0	0	1	1	0	1	0	2	0	1	0	1	0	0	0	1	2	1	0	0	0	2	1	1	0	0	1	1	0	0	0	0	1	0	0	0	1	2	2	1	0	1	0	0	2	0	0	0	1	0	0	0
1	1	0	0	1	0	0	1	0	2	1	1	2	1	1	0	0	1	1	0	0	1	0	2	1	1	1	1	0	0	1	0	0	1	1	0	2	0	0	0	1	0	1	1	1	0	0	1	0	0	1	1	0	1	1	0	1	0	0	0	2	0	0	2	1	0	1	0	0	2	0	2	0	1	0	1	1	1	0	1	0	0	0	1	0	0	0	2	2	0	0	1	0	0	1	0	0	0	1	0	0
0	2	0	0	0	0	0	0	0	0	1	0	1	1	0	1	0	0	0	0	0	1	0	0	2	0	0	0	1	1	0	1	1	0	0	0	0	0	0	0	0	0	2	0	2	0	1	0	0	1	0	0	0	1	1	0	2	0	0	1	1	0	0	2	0	0	1	0	0	0	1	1	0	0	1	1	1	1	1	0	2	1	0	1	2	0	2	1	0	0	0	1	0	0	0	0	0	0	0	0	0
0	1	0	1	0	0	1	0	0	0	1	0	1	2	0	2	1	2	0	0	1	1	0	2	1	0	0	0	0	0	1	1	0	1	1	0	1	0	1	0	1	1	1	0	1	0	1	1	0	0	0	1	0	0	2	1	1	0	0	1	1	0	0	0	0	0	0	0	0	1	1	0	0	0	1	1	2	1	0	0	1	2	1	1	0	0	1	0	1	0	0	0	0	0	1	1	1	1	0	0	0
0	0	0	0	1	1	1	0	0	0	1	0	1	2	0	0	1	1	2	0	1	1	0	0	1	0	0	1	1	0	1	0	0	0	1	0	0	0	1	0	0	2	1	1	1	1	1	1	1	2	1	2	0	2	0	0	0	0	0	1	0	0	0	0	1	0	1	0	0	1	0	1	1	0	0	0	0	2	0	0	0	0	0	0	0	0	1	2	0	0	0	0	0	0	1	1	0	0	0	0	0
0	0	0	0	0	0	0	1	2	1	1	2	0	1	0	1	0	1	0	2	1	2	0	1	1	0	0	0	0	0	1	1	0	1	1	1	0	0	0	0	1	2	0	1	0	0	1	0	0	1	0	0	1	1	1	1	1	0	0	0	1	0	0	1	0	0	1	0	1	0	0	2	0	0	0	0	0	0	0	1	0	2	1	2	0	1	1	1	1	1	0	0	0	0	2	0	0	0	0	0	0
1	1	0	1	0	0	1	0	2	1	2	2	2	1	0	1	0	0	1	1	2	0	0	0	0	1	0	0	0	0	1	1	0	2	2	0	2	1	0	0	1	1	1	1	1	0	0	2	0	0	1	1	1	0	2	0	1	0	1	1	0	0	1	0	0	1	1	0	0	2	1	1	0	1	0	0	0	0	0	1	0	1	1	1	0	1	1	1	1	1	0	1	0	2	0	1	1	0	0	0	0
0	1	0	0	0	0	0	0	0	1	0	0	0	1	0	1	0	1	2	1	1	1	0	1	0	0	0	0	1	1	1	0	1	0	0	1	2	0	0	0	1	1	0	1	0	0	0	1	0	2	0	0	0	1	1	0	2	0	0	0	0	0	0	0	1	1	2	1	0	0	1	1	0	0	0	0	0	1	0	2	1	2	0	2	0	0	2	0	1	0	1	0	0	0	0	0	1	0	0	0	0
0	0	0	2	0	0	1	0	1	1	1	0	1	0	0	0	0	1	1	1	0	1	1	1	0	0	0	0	0	0	2	0	0	2	0	2	1	1	0	0	2	2	0	1	0	0	0	0	1	1	0	0	0	1	0	1	1	1	0	1	1	0	0	0	0	2	2	1	0	0	0	0	1	0	0	1	0	1	0	0	1	1	0	2	0	2	1	1	0	0	0	0	0	1	0	0	2	0	0	0	0
0	1	0	1	0	0	0	0	0	1	0	0	1	1	1	0	0	1	0	1	1	2	0	1	0	0	0	1	1	1	1	0	0	1	1	0	1	0	0	0	0	0	1	0	1	0	0	2	0	2	1	1	0	1	0	2	1	0	1	0	2	0	0	1	0	2	1	0	0	1	0	1	0	0	0	2	0	0	1	1	0	2	0	2	0	2	2	1	2	2	0	1	0	1	0	1	0	2	0	1	0
0	1	0	2	0	0	0	1	0	0	1	1	2	1	1	0	0	2	0	0	0	1	0	1	2	0	0	0	0	0	1	0	0	0	1	0	2	1	0	0	1	1	0	0	2	1	0	1	1	1	1	0	2	0	2	0	1	0	0	1	2	0	0	0	1	0	1	0	0	0	1	0	0	1	0	2	1	0	1	0	0	0	0	1	0	1	2	0	0	1	1	0	0	1	0	0	1	0	0	0	0
0	1	0	0	1	0	0	0	0	0	1	1	0	1	0	1	1	2	0	1	2	1	0	2	1	1	0	1	0	0	0	1	1	1	1	0	1	0	1	0	1	2	0	0	1	2	0	0	0	1	2	0	1	0	0	1	1	0	0	0	1	0	0	0	0	1	1	0	0	1	1	1	0	1	0	1	1	1	1	0	1	1	0	1	0	0	1	2	0	1	0	1	0	0	2	1	1	1	0	0	0
0	2	0	0	1	0	0	0	0	0	2	2	0	0	0	0	1	0	0	0	1	1	0	1	0	1	0	0	0	0	2	0	0	0	1	1	1	1	0	0	0	0	1	1	0	0	0	0	0	1	0	1	0	2	2	1	2	1	0	0	1	0	0	1	0	2	2	0	0	1	0	1	0	0	1	0	1	0	0	1	0	1	1	2	0	0	2	1	1	0	1	0	0	0	1	1	1	1	0	0	0
0	1	0	1	0	1	0	0	1	0	1	1	0	1	0	1	1	0	1	2	1	0	0	0	1	1	1	0	0	1	1	0	1	1	1	0	1	1	1	0	1	0	0	0	1	0	0	0	0	1	1	1	1	0	0	1	2	0	0	0	1	0	0	0	1	1	1	0	0	0	0	2	1	0	0	2	1	1	1	0	0	1	0	1	0	0	0	0	1	2	0	2	0	0	1	0	1	0	0	0	0
0	1	0	0	1	1	0	1	1	0	2	1	0	0	0	1	0	1	0	2	0	0	0	1	0	1	0	0	0	0	0	2	0	1	1	0	2	1	1	0	2	1	1	1	1	1	0	2	0	0	1	0	2	2	0	1	2	0	1	1	1	0	1	1	1	1	0	0	0	0	1	0	1	0	0	1	1	0	0	0	0	1	2	0	0	1	2	1	1	1	0	0	0	1	0	0	0	1	0	0	0
0	2	0	2	0	2	0	0	0	0	1	1	1	0	0	1	1	2	1	0	1	0	0	0	1	0	0	0	0	1	0	1	1	1	1	0	1	2	1	0	0	1	0	1	2	0	0	2	1	0	0	1	1	1	1	1	2	0	0	0	2	0	0	1	1	0	0	1	0	0	0	2	1	1	1	1	1	0	0	0	1	0	1	0	0	1	2	0	1	2	0	1	0	0	0	0	1	0	0	0	0
1	2	0	1	0	1	1	2	1	0	1	2	0	2	1	1	0	2	0	1	1	1	0	1	0	0	1	0	2	1	0	1	1	1	2	0	2	0	1	0	1	1	0	0	2	0	0	1	0	1	1	1	1	1	1	0	0	0	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	1	2	2	1	0	0	0	0	1	0	1	1	0	0	1	0	1	0	1	1	1	0	1	0	0	0
0	0	1	1	0	0	0	0	1	0	0	2	0	0	0	0	1	0	1	1	0	1	1	0	1	1	0	0	1	0	0	0	0	0	0	0	0	0	1	0	0	2	1	1	0	0	1	0	0	1	0	1	0	2	0	0	0	0	1	1	1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	2	1	1	1	0	0	2	0	2	0	2	0	0	0	0	0	0	0	0	1	0	0	2	0	0	0
0	2	0	0	0	0	1	0	1	1	1	1	0	1	1	1	0	1	1	1	1	1	0	0	1	0	1	0	1	0	0	0	0	0	0	0	2	0	1	0	0	1	0	1	1	1	2	1	1	0	1	1	1	1	1	1	1	0	0	1	1	0	1	1	0	0	0	0	0	1	1	1	1	0	0	1	2	2	1	0	1	0	0	0	0	2	2	0	2	1	0	1	0	1	0	1	0	0	0	0	0
0	0	0	0	1	0	0	0	0	0	2	0	0	0	0	0	0	1	0	0	0	1	0	2	0	0	0	0	0	0	2	0	0	1	0	0	0	0	0	0	0	1	1	2	1	1	1	1	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	2	1	1	1	1	0	0	0	2	2	1	1	0	0	1	0	2	1	2	0	1	0	1	0	2	1	0	0	1	0	0	0	0	1	1	0	0	0
0	1	0	2	0	0	0	1	0	1	0	1	0	0	0	1	0	0	0	1	1	1	0	1	0	1	0	0	1	0	0	1	0	1	1	0	1	2	1	0	1	0	0	1	0	0	0	0	0	2	0	0	0	0	1	0	1	0	0	1	1	0	0	0	0	1	1	0	0	1	0	0	0	0	1	1	0	1	0	1	1	1	1	2	0	0	1	1	1	0	0	0	0	1	0	0	1	1	0	0	0
1	0	0	2	0	0	1	0	0	0	0	1	0	1	0	1	0	1	0	1	0	1	0	1	0	0	0	0	2	0	0	1	1	2	1	0	2	1	1	1	1	1	0	2	2	1	0	2	0	1	1	0	0	0	2	2	0	0	0	0	2	1	0	0	0	0	0	0	0	1	0	0	2	1	0	0	1	0	0	0	1	1	1	1	0	1	1	0	0	0	1	0	0	0	2	1	0	0	0	0	0
0	0	1	1	0	0	0	1	1	0	0	0	1	0	0	2	0	1	1	1	0	0	0	0	1	0	1	0	1	2	0	1	0	1	2	0	1	2	0	0	1	2	1	1	1	1	1	2	0	0	2	1	1	0	1	0	0	0	0	0	1	0	0	1	1	0	0	0	0	0	0	1	1	0	0	1	1	1	1	0	1	2	0	1	0	0	2	0	2	0	1	0	0	0	0	1	0	0	0	0	0
0	0	0	0	0	0	0	0	0	1	0	1	1	0	2	1	0	1	1	2	1	2	0	1	0	0	2	0	1	0	0	0	1	1	0	1	1	1	1	0	0	0	0	1	0	0	2	0	0	1	1	1	0	1	2	0	1	0	1	2	1	0	0	1	0	0	2	0	0	2	0	1	0	0	0	2	1	2	0	1	0	0	0	1	1	2	1	2	1	0	0	1	0	0	1	0	0	0	0	0	0
0	1	0	1	0	1	0	1	1	0	1	1	1	1	1	2	0	1	1	1	2	1	0	2	1	0	0	0	1	1	0	1	0	2	0	1	2	1	0	0	1	0	1	0	0	1	0	1	0	0	0	1	1	0	2	0	1	0	0	1	0	0	0	0	1	1	2	0	0	0	0	2	2	0	0	0	0	1	1	1	0	0	1	2	1	1	1	2	2	1	0	1	0	1	1	1	0	0	0	0	0
0	1	0	1	0	1	0	0	1	0	1	1	0	0	1	1	0	1	0	1	2	1	0	1	0	0	0	0	0	0	2	1	1	1	0	0	0	0	0	0	0	1	2	1	1	0	0	1	1	0	0	0	0	1	0	1	2	0	0	1	0	0	1	0	0	0	0	0	0	1	1	0	1	1	0	1	1	2	0	0	1	1	0	1	0	0	2	2	0	1	1	1	0	2	1	1	0	0	0	0	0
0	0	0	1	0	1	0	1	0	2	2	1	0	0	1	2	0	0	1	0	1	1	0	0	1	1	0	0	2	0	0	1	0	2	1	0	2	2	0	0	1	2	2	1	0	0	2	0	0	1	0	0	1	1	2	1	1	0	0	0	1	0	0	0	0	1	0	0	0	0	1	2	0	0	0	0	0	1	0	0	0	2	1	0	0	1	1	0	1	0	0	1	0	1	0	0	1	0	0	0	0
1	1	0	0	1	1	2	1	0	1	0	2	1	1	0	0	0	1	0	1	2	1	0	2	0	0	0	0	0	0	0	0	0	1	0	0	1	1	0	0	0	1	1	1	1	0	0	0	0	1	1	0	1	1	2	0	1	0	0	1	0	0	0	0	1	0	1	0	0	1	0	0	1	0	0	0	2	1	0	0	0	2	1	1	0	2	1	1	0	0	0	0	0	1	0	2	2	0	0	1	0
0	0	0	1	0	0	0	0	1	0	1	1	1	1	0	1	0	0	1	1	2	0	0	0	1	0	0	0	0	1	0	2	0	2	1	1	1	0	0	0	1	1	0	1	2	0	2	0	1	0	0	1	0	0	2	1	1	0	1	0	0	0	1	2	0	2	1	0	0	1	0	1	0	1	0	0	0	1	1	0	0	0	1	1	0	2	2	0	0	1	0	0	0	0	1	0	1	1	0	0	0
1	0	1	1	1	0	0	1	2	0	1	1	0	1	1	1	0	0	1	0	0	1	0	0	1	1	0	0	0	1	1	0	0	2	1	0	2	0	0	0	0	1	0	1	0	0	0	1	1	1	0	1	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	1	0	1	2	0	0	0	1	1	0	0	0	1	0	0	0	0	1	0	1	1	0	0	0	1	0	0	2	1	0	0	0
0	2	0	1	0	2	1	1	2	0	0	0	1	1	0	2	0	1	1	1	0	2	0	0	1	0	1	0	0	1	1	0	0	0	1	0	1	0	1	0	1	2	0	1	1	0	1	0	1	1	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	2	0	1	0	0	1	1	1	0	0	1	2	0	0	0	0	1	1	0	0	0	1	0	1	0	1	0	0	1	0	0	1	1	0	0	0
1	0	0	0	0	0	1	1	0	2	0	0	1	1	0	1	1	1	1	2	0	1	0	0	1	1	0	0	0	0	0	1	1	1	1	0	0	0	0	0	1	0	1	1	0	0	0	0	0	0	1	0	1	1	0	1	2	0	0	1	1	0	0	1	0	0	0	0	0	0	0	2	0	0	0	1	0	1	0	0	0	1	0	0	0	2	1	2	0	0	0	1	0	0	1	0	1	1	0	0	0
1	0	0	1	1	0	0	0	1	0	0	1	1	0	0	0	0	1	0	0	2	0	0	0	1	0	2	0	0	0	0	1	1	1	2	0	2	0	0	0	0	1	2	0	1	0	0	0	0	1	0	0	0	0	1	1	0	0	1	0	1	1	1	0	0	1	0	0	0	0	1	0	1	1	0	2	1	1	2	0	0	2	1	1	1	0	1	1	2	0	1	1	0	1	0	0	1	0	0	0	0
0	2	1	0	0	0	0	0	0	2	0	0	1	0	0	0	0	0	1	1	1	1	0	0	1	0	0	0	1	0	0	0	1	1	0	0	0	1	0	0	2	0	1	1	1	0	0	0	1	0	0	0	2	0	2	2	0	0	0	1	1	0	0	1	1	1	1	0	0	0	2	0	0	0	0	1	0	1	0	0	0	1	0	0	0	1	1	2	0	0	1	0	0	0	0	1	0	2	0	0	0
0	0	1	0	0	1	1	1	1	0	1	0	2	0	1	1	1	2	0	1	1	1	0	0	0	1	0	1	0	0	1	0	1	0	0	0	0	0	1	0	1	2	0	1	0	0	0	0	0	0	0	0	1	0	0	2	1	0	0	0	2	0	1	0	0	1	0	0	0	2	0	1	2	0	0	2	1	0	1	0	0	0	0	0	0	0	2	1	1	0	0	0	0	1	0	0	0	1	0	0	0
0	1	0	0	1	0	2	1	0	1	1	1	0	1	1	0	0	0	0	0	2	1	1	1	1	2	1	0	1	0	1	2	0	1	1	0	2	1	0	0	0	1	0	0	1	1	1	1	1	1	1	1	0	2	1	1	1	0	0	1	1	0	0	0	0	1	2	0	0	0	1	0	0	0	0	1	1	1	0	2	1	0	1	1	0	0	1	1	0	0	0	0	0	1	1	0	1	0	1	0	0
1	1	1	0	1	0	1	0	0	0	0	0	1	0	1	1	0	2	1	1	1	0	0	0	1	0	0	0	1	0	1	1	1	0	0	1	1	0	0	0	0	1	0	1	1	0	1	0	0	0	0	0	0	0	1	1	1	0	0	2	1	0	1	1	0	1	1	0	0	0	1	0	2	0	0	1	1	0	0	1	0	1	1	0	0	1	0	1	1	0	1	1	0	0	0	1	1	1	0	0	0
0	2	0	0	0	0	1	0	2	2	1	2	1	0	1	2	0	0	0	1	2	1	0	1	2	1	0	0	0	1	1	0	0	1	0	1	2	0	0	0	0	1	0	2	1	0	2	1	1	2	0	1	1	0	1	0	2	0	1	1	2	0	1	0	0	1	0	0	0	1	0	1	0	0	1	1	1	0	0	0	0	2	0	0	0	1	2	1	1	0	1	0	0	0	1	0	2	2	0	0	0
0	2	0	0	0	0	0	1	0	0	1	1	1	1	0	1	0	0	0	0	1	1	0	0	1	0	0	1	0	0	1	0	0	0	1	0	0	0	0	0	1	2	0	1	2	1	0	0	0	1	1	1	1	1	1	0	0	0	1	1	1	0	0	0	0	2	0	0	0	1	1	1	1	0	0	2	0	1	0	0	0	0	1	0	1	1	2	0	0	1	0	1	0	1	1	0	0	1	0	0	0
0	0	0	0	0	0	1	1	0	1	0	2	0	1	0	1	0	1	1	0	0	1	0	1	0	0	0	0	0	1	1	0	0	1	1	0	1	0	0	0	1	1	0	2	1	0	0	0	0	2	0	0	0	0	0	1	0	0	0	1	0	0	1	0	0	2	1	0	0	1	0	1	0	0	1	1	1	0	0	0	0	0	0	1	1	2	0	0	1	0	1	0	0	0	1	0	1	0	0	0	0
0	0	0	0	0	0	1	0	0	1	0	1	0	0	0	0	0	0	0	0	0	1	0	2	1	0	1	0	0	1	1	2	0	1	0	0	0	2	0	0	0	1	0	1	1	1	0	0	0	0	0	0	1	1	2	0	1	2	0	0	1	0	0	1	0	1	1	0	0	1	0	0	1	1	0	0	1	0	1	2	0	2	0	1	0	1	1	2	0	0	0	0	0	2	2	0	0	1	0	0	0
1	0	0	1	0	0	0	1	1	1	1	1	0	1	1	1	0	2	1	1	2	0	0	0	0	2	1	0	1	1	1	0	1	1	0	0	0	2	0	0	1	0	0	1	1	0	0	0	0	1	1	1	0	0	1	0	1	0	0	1	0	0	0	0	1	2	0	0	0	0	0	0	1	1	0	1	1	2	0	2	0	0	0	0	0	0	2	1	0	0	0	1	0	2	0	0	0	0	0	0	0
0	0	0	1	0	0	0	1	0	0	0	0	1	0	1	2	0	1	1	0	0	1	0	0	1	1	1	1	0	0	2	1	0	2	1	1	0	1	0	0	2	1	1	0	1	0	1	0	1	0	0	2	0	0	0	1	2	0	0	0	1	0	0	0	0	1	1	0	0	1	0	1	1	0	0	0	0	1	0	0	0	1	0	2	0	1	1	0	1	0	0	0	0	0	0	0	0	1	1	0	0
0	0	0	0	0	0	1	2	0	1	0	0	1	0	0	2	0	0	0	1	0	2	0	1	0	1	0	0	1	2	1	0	0	1	0	0	1	2	0	0	1	2	1	1	1	0	2	0	0	0	0	0	0	0	2	0	1	0	0	0	2	0	0	1	0	2	1	0	0	0	0	0	0	0	0	2	1	0	0	0	0	0	0	1	0	0	1	2	1	1	0	0	0	1	1	1	2	0	0	0	0
0	1	1	0	1	0	1	1	1	1	0	2	0	0	0	0	0	2	1	2	1	1	0	1	1	1	0	0	1	1	1	0	1	0	2	1	1	0	0	0	2	1	0	1	1	0	1	0	0	2	0	0	0	1	1	1	2	0	0	2	0	0	0	1	0	1	2	0	0	1	0	0	0	1	0	1	0	1	0	1	1	2	1	0	0	2	1	1	1	0	0	0	0	1	0	1	2	1	0	2	0
0	0	0	1	0	0	0	0	0	1	0	0	2	0	0	2	0	1	0	1	1	2	2	0	1	0	0	0	1	0	1	2	0	1	0	1	0	1	1	0	0	2	1	1	2	0	0	1	1	0	1	0	1	1	0	0	0	0	1	0	2	1	1	0	0	2	1	0	1	1	0	0	0	0	0	1	1	1	0	0	0	1	0	0	0	2	0	2	1	0	0	0	0	1	2	0	1	1	0	0	0
0	2	0	1	0	0	1	1	0	2	0	1	1	1	1	1	0	1	1	0	1	1	0	0	1	0	0	0	2	0	0	1	0	1	0	0	1	1	0	0	0	1	0	2	0	0	1	0	0	2	0	1	0	0	2	2	2	0	1	0	1	0	0	0	1	1	1	0	0	0	0	1	2	0	0	1	1	1	0	1	0	2	0	0	0	1	1	1	0	0	0	1	0	0	0	0	0	1	0	0	0
0	0	0	0	1	0	0	0	1	0	1	1	1	0	0	1	1	1	0	0	1	0	0	0	0	0	0	0	0	0	0	2	0	1	1	0	1	0	0	0	2	0	2	0	1	0	0	0	0	0	1	1	1	0	1	1	2	0	1	1	1	0	0	0	1	1	1	0	0	0	1	1	0	0	1	1	0	0	0	0	2	0	0	1	0	0	2	1	2	0	0	0	0	0	0	0	1	1	0	0	0
1	1	0	0	0	0	1	1	0	1	1	1	1	0	0	0	0	0	1	2	1	0	0	0	0	0	0	1	1	0	0	0	0	0	1	0	2	1	0	0	0	0	0	0	1	0	1	1	0	0	0	1	0	1	2	2	1	0	1	0	1	0	0	1	1	1	1	0	0	1	0	1	0	0	0	1	0	0	0	1	0	1	0	1	0	0	0	1	1	1	0	0	0	0	2	0	2	0	0	0	0
0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	1	0	1	1	2	1	2	0	1	0	1	0	0	0	0	0	1	0	0	0	0	1	1	0	0	0	1	1	1	0	0	0	0	0	0	1	0	2	0	1	1	1	0	0	0	1	0	1	0	1	0	2	0	0	0	0	0	0	1	0	0	1	2	1	0	0	1	1	0	0	2	1	0	1	1	0	0	0	0	1	1	2	0	0	0	0
1	0	0	0	0	0	0	0	0	1	1	0	0	0	0	2	0	1	1	1	0	1	0	0	0	0	0	0	1	1	1	0	0	0	0	0	1	1	0	0	2	1	1	1	1	0	0	1	0	2	1	0	2	0	2	1	2	0	0	0	2	0	0	0	0	2	1	0	0	0	0	1	2	0	1	0	2	1	0	1	0	1	0	1	0	1	1	0	0	0	0	1	0	1	1	0	0	0	0	0	0
0	1	0	0	0	1	0	0	1	0	1	1	1	1	1	0	1	2	1	2	1	2	0	1	1	1	1	1	0	1	1	0	0	1	0	0	1	0	0	0	0	1	1	1	1	0	0	1	0	1	0	1	2	1	1	2	0	0	0	0	0	0	0	0	0	2	2	0	0	0	2	1	0	1	1	2	1	0	0	0	0	0	0	0	0	1	0	0	1	1	1	0	0	1	1	0	0	0	0	0	0
0	1	0	0	1	0	0	0	2	1	0	1	2	0	0	1	0	2	0	1	0	1	0	0	0	1	0	0	1	0	1	0	1	2	1	0	1	1	0	0	1	1	0	2	1	0	0	1	0	1	1	0	2	0	0	0	1	0	0	1	1	0	0	0	1	1	1	0	0	2	0	1	0	0	1	1	0	1	1	0	0	0	1	0	0	1	1	1	0	1	1	1	0	1	1	0	1	0	0	0	0
0	1	0	1	2	0	0	1	0	1	0	0	0	0	1	0	1	1	0	0	0	2	0	2	0	0	0	0	1	0	2	1	1	1	1	0	1	0	0	0	2	0	1	2	0	0	0	1	0	1	0	0	1	0	1	0	0	1	0	1	1	0	0	0	0	1	0	0	0	0	0	0	0	0	1	2	2	0	0	1	0	2	0	0	0	1	0	1	1	1	1	0	0	2	2	0	1	1	1	0	0
1	0	0	0	1	0	0	0	1	0	0	1	2	0	1	0	0	2	1	1	2	2	0	0	0	1	0	1	0	1	0	1	1	1	0	0	2	2	0	0	1	1	0	1	2	0	0	1	0	0	1	0	1	1	0	1	2	0	0	0	1	0	0	1	1	1	1	0	0	1	1	2	1	1	0	1	0	2	0	1	1	1	0	0	0	1	1	0	2	0	0	2	0	0	1	0	0	0	0	0	0
0	1	0	0	0	0	0	0	0	0	2	1	1	1	0	0	1	1	1	1	0	1	0	1	1	0	0	1	0	2	1	2	0	0	0	0	0	1	1	0	1	0	2	1	0	0	0	1	0	0	0	0	2	2	1	1	1	0	0	0	1	0	0	0	1	1	0	0	0	2	0	2	0	2	1	1	1	0	0	0	0	1	1	1	0	1	1	2	2	0	0	0	0	1	0	2	2	1	0	0	0
0	1	0	1	0	0	0	0	1	2	0	1	1	1	0	0	0	0	1	2	1	1	1	1	1	0	0	1	0	2	0	0	0	1	0	0	0	1	0	0	0	1	1	0	1	0	0	1	1	2	0	0	0	0	1	0	2	0	1	0	1	0	0	0	0	0	1	0	0	0	0	2	1	0	0	1	0	1	1	0	1	0	1	0	1	2	1	1	0	1	0	0	0	0	1	1	0	1	0	1	0
1	2	0	0	0	0	0	0	0	0	1	1	1	0	0	1	0	1	0	2	1	0	0	0	1	1	0	0	0	1	0	0	0	2	1	0	2	1	0	0	0	0	1	1	1	0	1	1	0	0	0	1	1	1	1	1	0	1	0	1	1	0	0	0	0	0	1	0	0	1	1	1	1	1	1	1	0	0	0	1	0	0	0	0	0	1	1	2	1	0	0	2	0	2	0	0	2	1	0	1	0
0	2	0	0	0	1	0	0	0	1	1	0	1	1	0	1	0	0	1	0	0	2	1	1	1	1	0	0	2	1	0	0	1	1	2	0	2	0	0	0	1	1	0	1	2	1	0	0	1	1	0	0	1	1	1	1	2	0	0	0	1	0	0	0	0	2	1	0	0	0	0	1	2	1	1	1	0	1	0	0	0	0	0	1	0	1	1	1	1	0	0	0	0	1	0	0	0	1	0	0	0
0	0	0	1	0	0	1	0	0	0	0	0	0	1	2	0	0	1	0	0	2	2	0	1	1	0	0	1	1	0	0	0	1	1	1	0	1	0	0	0	0	1	0	0	0	0	0	0	0	0	1	1	1	0	2	0	0	0	0	2	1	0	0	0	0	1	1	0	0	0	0	1	0	0	0	1	0	0	0	1	0	1	0	0	0	1	0	2	0	0	0	2	0	1	1	1	2	0	0	0	0
0	1	0	1	1	0	0	0	1	1	0	0	0	1	1	0	0	1	0	0	0	1	0	1	1	0	1	0	0	0	1	1	0	1	0	1	1	2	0	0	0	1	1	2	2	0	1	0	0	0	0	1	1	0	1	0	1	0	0	1	1	0	0	0	0	0	1	0	0	1	0	1	1	0	0	2	2	1	1	1	0	2	1	0	0	2	0	0	0	1	0	0	1	2	1	0	1	1	0	0	0
0	0	0	1	0	0	0	1	0	0	0	1	0	0	1	2	1	2	0	1	1	1	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	1	0	1	2	1	0	1	0	0	0	0	1	0	0	1	0	1	0	0	0	0	0	0	0	0	1	1	0	0	1	0	0	1	1	0	0	0	0	0	0	0	0	1	0	0	0	1	1	2	0	0	0	0	0	0	0	1	1	0	0	0
0	1	0	1	2	0	1	0	1	0	1	2	0	0	0	0	1	1	0	1	1	0	0	0	2	1	1	0	0	0	1	0	1	2	1	0	2	0	0	0	1	2	1	1	1	1	0	0	0	1	1	0	2	0	1	0	1	0	0	1	1	0	0	1	0	2	1	0	0	0	0	0	0	0	0	0	1	2	0	2	0	0	0	0	0	1	0	1	1	0	1	0	0	0	1	0	1	0	0	0	0
0	1	0	0	1	1	1	1	1	0	0	1	0	1	0	1	0	1	1	0	1	1	0	0	0	1	0	0	0	1	0	0	0	1	1	0	1	0	0	0	1	1	0	1	0	0	0	0	0	0	1	0	1	0	0	0	0	1	0	0	0	0	0	1	0	2	1	0	0	1	0	0	1	1	0	0	1	1	1	0	0	1	1	2	0	0	2	1	2	0	1	0	0	0	1	0	1	1	1	0	0
1	0	0	2	0	1	1	2	0	2	0	0	1	0	1	1	0	0	1	0	1	0	0	1	2	0	0	1	2	1	0	1	0	0	1	1	2	0	1	0	1	0	0	1	1	0	1	1	0	1	2	0	1	0	2	2	0	2	0	1	2	0	1	0	2	1	0	0	0	0	0	1	1	1	0	1	1	1	0	0	0	0	0	1	0	0	0	1	2	0	0	0	0	0	1	0	1	1	1	0	0
0	1	0	1	0	0	0	1	1	0	2	2	1	1	0	1	1	1	1	2	1	1	0	0	0	0	0	0	1	0	0	1	1	2	1	0	1	0	0	0	0	0	1	1	1	1	1	2	0	1	0	0	1	0	0	0	0	0	0	1	0	0	0	0	0	2	1	0	0	2	1	1	0	1	0	0	0	0	0	0	0	0	0	1	0	1	1	0	1	0	2	0	1	1	0	1	1	1	0	0	0
0	1	0	0	1	0	0	0	0	1	1	2	1	1	0	2	0	0	0	1	2	0	0	0	1	0	0	1	0	0	0	0	0	1	0	0	1	1	0	0	1	1	0	1	2	0	0	1	1	1	0	0	2	1	1	0	1	0	1	0	2	0	0	0	1	1	2	0	0	1	0	0	1	0	1	1	0	1	1	1	0	0	0	2	0	1	0	1	2	0	1	0	0	0	1	0	2	0	0	0	0
0	0	1	1	0	0	1	0	0	1	1	1	1	1	0	0	0	2	0	2	1	1	0	0	2	0	0	0	1	0	2	0	0	2	2	0	0	1	1	0	1	0	1	2	2	0	0	0	0	1	0	0	0	2	1	1	0	0	0	1	2	0	0	0	0	1	1	0	0	0	1	1	1	1	0	1	1	1	0	0	0	2	0	0	0	1	1	0	0	0	0	1	0	2	1	0	1	0	0	0	0
0	1	0	0	1	1	0	1	1	1	1	2	0	1	0	1	0	0	0	1	0	0	0	0	1	1	1	0	1	0	1	1	0	0	1	0	0	1	0	0	0	0	0	1	1	0	1	1	0	0	0	1	1	0	1	1	2	0	0	0	0	0	0	1	0	2	1	0	0	1	0	0	1	0	0	1	1	2	0	0	0	1	0	2	1	1	1	2	0	0	0	0	0	1	0	1	0	0	0	0	0
0	1	0	0	0	0	1	0	1	0	0	2	1	1	0	1	0	0	1	2	0	2	0	0	1	0	0	0	0	1	0	0	1	2	1	0	1	2	1	0	1	1	1	2	0	1	0	1	0	0	0	0	2	0	2	2	2	1	0	0	0	0	1	1	0	2	1	0	0	2	0	0	0	2	0	1	1	1	0	0	0	1	0	1	0	0	1	0	1	0	1	0	0	1	0	0	1	1	0	1	0
1	0	0	0	1	1	0	0	1	0	0	0	1	2	0	1	0	0	1	0	1	0	1	1	1	0	0	1	0	0	0	2	1	1	1	0	0	1	0	0	1	0	1	0	1	0	1	0	1	1	1	0	0	1	1	0	2	1	0	1	1	0	0	0	1	0	2	0	0	1	0	1	2	0	1	2	0	0	0	0	1	1	0	0	0	1	1	2	1	0	1	1	0	1	0	0	1	0	0	0	0
0	1	0	1	0	0	0	0	0	0	0	2	1	2	1	1	1	1	0	0	0	2	0	0	0	0	1	0	2	0	0	0	0	0	0	1	2	0	0	0	1	1	1	0	0	0	1	2	1	1	0	1	1	0	2	1	2	0	0	1	2	0	0	0	0	1	1	0	0	1	0	1	1	0	0	1	1	1	0	1	1	1	1	1	0	0	2	1	0	0	1	0	0	1	0	2	1	0	0	0	0
1	1	0	0	1	0	2	0	0	0	1	1	0	0	0	1	0	0	0	1	1	0	0	0	2	2	0	0	0	0	0	1	0	1	1	0	2	0	0	0	1	2	1	1	1	0	1	0	0	0	0	0	1	0	0	0	1	0	0	1	0	0	0	0	0	1	0	0	0	0	1	0	2	0	0	2	1	1	0	1	0	1	1	0	0	2	1	0	1	0	0	0	0	1	0	1	2	0	0	0	0
0	1	0	0	0	0	0	0	0	2	1	0	1	1	0	1	0	2	0	2	0	0	0	1	0	0	0	0	0	1	0	1	0	1	0	0	2	0	1	0	1	1	0	1	2	0	1	1	0	1	0	0	0	1	2	1	0	1	0	1	0	0	1	0	1	1	1	0	1	1	1	1	1	0	0	1	0	1	1	0	1	0	1	1	0	1	2	1	1	0	0	0	0	2	1	0	0	0	0	0	0
0	0	0	0	0	0	0	1	0	0	1	1	0	2	1	1	0	0	1	0	0	0	0	1	0	0	0	0	0	0	0	0	0	1	1	0	0	1	0	0	2	0	0	1	1	0	0	1	0	1	1	0	0	1	1	0	1	1	0	0	1	0	0	0	0	2	0	0	0	0	1	1	0	0	1	1	0	1	0	0	0	1	0	1	1	1	1	0	0	0	0	1	0	0	1	1	0	1	0	0	0
1	0	0	0	2	0	0	1	1	0	0	0	0	0	0	1	0	0	0	2	2	0	1	1	0	0	0	1	0	0	1	0	0	2	1	0	2	1	0	0	1	1	1	1	1	0	1	0	1	0	0	1	1	1	1	0	1	0	1	1	0	0	0	0	0	1	1	0	0	0	1	0	1	0	0	1	0	2	1	0	0	2	0	2	0	0	1	1	1	0	0	2	0	0	1	1	1	0	0	0	0
0	0	0	0	0	0	0	1	0	1	1	2	2	0	0	1	0	2	1	1	1	2	0	0	1	1	0	0	1	1	1	1	0	1	1	1	2	0	0	0	0	0	0	0	0	1	1	0	0	2	1	0	0	1	1	1	2	0	0	1	1	0	1	0	0	1	0	0	0	1	0	1	0	0	0	1	1	1	0	0	0	1	0	0	0	1	2	2	1	1	1	0	0	0	1	1	1	0	1	0	0
0	0	0	1	0	0	0	0	1	0	1	2	0	1	0	2	0	1	0	0	0	2	0	1	2	0	2	0	1	1	0	1	0	2	0	0	1	1	0	0	1	0	1	2	1	1	2	0	0	0	1	1	0	0	2	2	1	1	0	0	1	0	0	0	0	1	2	0	0	2	1	0	1	0	0	2	0	2	1	0	1	1	0	1	0	1	0	0	0	1	0	1	0	0	0	0	1	1	0	1	0
0	1	0	0	0	1	1	0	0	0	2	0	1	0	1	1	0	2	0	0	1	1	1	1	0	0	0	1	0	2	1	1	0	1	1	0	2	0	0	0	1	1	0	1	2	1	1	1	0	1	1	0	0	2	1	0	1	0	0	0	1	0	0	1	1	0	1	0	0	1	0	1	0	0	0	1	1	1	0	1	0	1	0	2	1	1	1	0	1	0	1	1	0	1	1	0	2	1	0	0	0
0	0	1	0	0	1	0	0	2	2	1	2	1	0	0	1	0	0	0	1	1	2	1	2	1	0	0	0	1	2	1	0	1	1	1	0	0	0	0	0	1	0	0	1	0	0	0	2	0	1	1	0	0	1	2	1	1	1	0	0	0	0	0	1	1	0	2	0	0	0	0	1	1	0	0	1	1	2	1	0	0	1	0	0	0	1	0	2	0	0	0	1	0	0	0	0	2	1	0	0	0
0	2	0	0	0	1	0	1	1	2	0	1	2	0	2	2	1	1	1	1	0	1	0	1	0	0	0	0	1	0	0	0	1	1	2	0	1	1	1	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	2	1	1	0	0	1	0	0	1	0	0	1	1	0	0	1	0	0	2	2	0	0	0	1	0	0	1	1	1	0	0	0	1	1	2	1	1	0	0	1	2	1	1	2	0	0	0
0	0	0	1	0	0	2	1	1	1	0	1	2	1	0	1	1	1	1	1	2	2	1	1	1	0	0	0	1	1	1	2	0	0	0	0	1	1	0	0	1	1	1	2	1	2	0	0	0	0	0	0	0	1	2	1	0	0	0	1	1	0	0	0	1	1	0	0	0	0	0	1	0	0	0	1	0	0	1	0	0	0	0	2	0	0	0	0	1	0	0	0	0	0	0	0	2	1	0	0	0
0	1	0	1	0	0	1	1	1	1	2	1	1	0	0	1	1	0	0	2	1	2	0	1	1	1	0	0	0	0	2	1	1	1	1	0	0	0	0	0	1	1	2	1	1	0	0	0	0	0	1	0	1	1	2	0	1	1	0	0	2	1	0	0	0	0	1	0	0	0	0	1	0	0	0	0	0	1	0	0	1	0	0	0	1	1	1	2	1	0	0	0	1	0	1	1	1	1	1	0	0
0	0	0	1	0	0	0	0	1	1	1	2	0	2	0	1	0	0	0	1	2	2	0	0	1	1	1	0	1	0	0	0	1	2	1	0	0	0	1	0	2	1	1	2	1	0	2	0	0	0	0	0	1	0	1	1	1	0	0	1	1	0	0	1	0	1	1	0	0	0	0	0	0	0	1	2	1	1	0	1	0	1	1	2	0	2	1	1	0	0	0	1	0	1	1	1	0	0	0	0	0
1	1	2	1	0	1	0	1	2	1	1	1	1	0	0	1	0	1	2	1	1	1	0	1	1	1	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	2	0	1	0	1	2	0	0	1	0	0	0	1	1	1	1	0	0	1	0	0	0	1	1	0	0	0	2	2	0	2	0	0	1	1	1	0	0	1	0	0	1	0	1	2	1	2	0	0	0	0	0	1	1	0	0	0	0	0
1	0	1	0	0	0	1	0	0	0	1	1	1	0	0	0	1	0	1	1	2	2	1	0	1	1	0	1	2	0	0	0	1	1	1	1	1	0	0	0	0	1	2	0	1	0	1	1	0	1	0	1	2	0	1	1	0	0	0	0	0	0	0	0	0	1	0	0	0	2	0	1	1	1	0	0	1	1	0	0	0	0	0	0	0	0	2	0	1	0	0	0	0	0	0	0	1	1	0	1	0
1	0	0	0	0	0	1	0	0	1	1	0	1	0	1	0	0	2	0	1	0	1	0	0	0	0	0	0	2	1	0	1	0	0	1	0	0	1	0	0	0	0	0	0	1	0	0	1	0	1	0	1	1	0	1	1	2	0	0	0	2	0	0	0	1	1	1	0	0	1	1	1	1	0	0	1	1	2	0	0	0	2	0	2	0	0	1	2	1	0	0	0	0	1	1	0	1	0	0	0	0
0	2	0	1	1	0	0	1	2	0	2	1	0	1	0	0	0	1	0	1	1	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	2	1	0	0	1	1	0	1	1	0	0	0	1	0	1	0	2	0	2	1	1	0	1	2	1	0	0	1	0	1	0	1	1	1	0	1	0	0	1	0	1	1	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0	1	1	0	1	0	1	0	0
0	1	0	0	0	0	1	0	0	1	1	1	0	1	0	1	1	2	0	1	0	1	0	0	1	1	1	0	0	0	1	0	1	1	1	0	0	1	0	0	1	0	1	0	1	0	0	1	0	0	0	0	1	0	2	2	1	0	1	1	1	0	1	0	0	1	0	0	0	1	1	1	0	0	0	1	0	0	0	1	0	1	2	0	0	1	1	1	0	1	0	1	0	1	1	0	0	0	0	0	0
1	1	0	0	0	0	1	0	1	0	1	0	1	1	0	2	0	1	0	2	1	2	0	0	1	1	0	0	1	0	0	0	0	1	1	0	1	2	0	0	0	0	0	1	2	0	0	1	0	0	1	0	1	1	1	2	0	1	1	1	0	0	0	0	2	0	1	2	0	0	0	0	1	1	0	0	0	1	0	1	1	0	2	1	0	1	0	0	1	2	0	1	0	1	1	0	1	0	0	0	0
0	1	0	1	2	2	0	0	0	1	1	2	1	1	0	0	0	0	1	1	1	1	0	0	2	0	0	0	0	0	0	1	0	2	0	1	1	1	0	0	0	0	1	1	1	0	0	1	0	0	0	0	1	0	1	0	1	0	0	0	2	0	0	0	0	0	1	0	0	0	0	1	2	1	0	0	0	0	0	0	0	0	0	0	0	0	2	1	1	0	0	2	0	1	1	0	1	0	0	0	0
0	0	1	1	0	0	0	0	0	2	1	2	0	0	1	1	1	2	2	0	0	0	0	1	1	1	0	0	1	0	1	0	0	1	0	0	1	0	1	0	0	2	1	0	1	0	0	1	0	0	0	1	2	0	0	0	2	0	0	0	0	0	0	0	0	0	2	0	0	0	0	1	1	0	0	2	1	0	0	0	0	2	1	0	1	0	1	0	1	0	1	0	0	0	1	0	2	1	0	0	0
0	0	0	1	0	0	1	1	1	2	0	0	0	1	1	1	1	1	0	1	2	1	0	1	1	0	0	0	1	1	1	0	0	1	2	1	1	2	1	0	2	1	1	1	0	0	1	1	0	1	0	1	1	1	0	0	1	0	0	0	0	0	1	0	0	2	1	0	0	0	1	2	1	0	0	0	2	1	1	0	0	1	0	1	0	0	1	0	2	1	0	0	0	0	2	1	1	1	0	0	0
1	2	1	0	1	0	0	0	0	1	0	1	0	1	1	1	0	2	1	2	0	1	0	1	1	0	1	0	0	0	1	1	1	1	1	0	2	0	1	0	1	0	1	0	1	0	1	0	0	0	1	0	0	2	0	0	1	0	0	0	1	0	1	0	0	0	0	0	0	1	0	0	2	0	0	1	1	2	0	1	0	1	0	0	0	1	1	0	1	1	0	0	0	0	1	0	1	0	0	0	0
0	1	0	1	2	0	0	1	1	0	1	1	0	1	0	0	0	0	0	1	0	1	0	0	1	1	1	0	1	0	0	1	0	0	1	1	1	1	0	0	0	0	0	1	2	0	0	1	1	1	0	0	0	1	0	0	1	0	0	1	0	0	0	0	1	2	0	0	0	1	0	1	0	0	0	0	1	0	0	0	0	1	1	1	0	1	1	0	0	0	0	1	0	0	0	0	1	0	0	0	0
0	2	1	1	0	0	0	0	0	0	0	1	0	0	0	2	0	1	0	0	0	0	0	1	1	1	1	0	0	0	1	0	1	1	1	0	0	0	0	0	0	1	0	1	1	0	0	1	1	1	0	1	0	0	1	2	1	0	0	0	1	0	0	0	0	0	0	0	0	0	1	2	0	1	0	1	1	1	0	0	0	1	0	1	0	1	0	0	1	1	0	0	0	1	1	1	2	0	0	0	0
0	1	0	1	0	0	0	0	0	0	0	2	0	1	0	1	0	1	0	1	0	1	0	1	0	0	0	0	1	1	0	0	1	1	2	0	0	0	0	1	0	1	1	0	1	0	0	1	1	0	1	0	2	1	1	0	1	0	0	0	2	0	0	0	1	1	1	0	0	1	0	1	2	0	0	1	0	1	1	1	0	1	1	0	0	1	1	1	0	1	0	1	0	0	1	0	1	1	0	0	0
1	1	0	0	0	0	1	0	1	0	0	1	0	1	0	0	0	2	0	1	0	2	0	0	0	1	0	0	1	0	1	0	1	1	0	1	1	1	1	0	1	2	2	1	2	0	0	0	0	0	0	0	1	1	2	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	1	1	2	0	0	0	0	0	2	0	1	0	0	1	0	1	0	0	1	0	1	1	0	2	0	0	0	0
0	1	0	0	1	1	0	0	1	0	1	2	1	0	1	2	1	2	1	2	0	2	1	0	1	2	0	0	0	0	0	1	0	0	1	0	0	0	0	1	0	1	0	0	1	0	0	1	0	1	0	0	0	1	2	1	0	1	0	1	1	0	0	0	1	1	1	0	0	0	0	1	0	0	0	1	1	0	1	0	0	1	0	1	0	1	1	2	1	0	0	0	0	1	2	2	1	0	0	0	0
0	0	0	0	0	0	0	0	0	1	1	1	0	1	0	1	0	0	0	1	0	0	0	2	0	1	0	0	0	1	1	0	1	1	1	0	1	1	0	1	0	0	0	2	2	1	0	0	0	0	0	2	0	0	2	0	0	1	0	0	1	0	1	0	0	1	0	0	0	0	0	0	0	1	0	1	0	0	0	1	0	1	2	0	1	1	0	1	1	0	0	0	0	1	1	0	1	2	0	0	0
0	1	0	0	0	0	0	0	0	2	1	1	1	1	1	1	0	1	1	2	0	2	0	0	2	0	1	0	2	1	0	1	0	0	1	0	1	1	0	0	1	1	0	1	2	0	1	0	0	0	1	0	0	1	1	0	1	1	0	1	1	0	0	1	0	1	0	0	0	1	1	2	1	0	0	0	1	0	1	1	0	0	0	0	0	1	1	0	1	0	0	0	0	2	0	0	0	1	0	0	0
0	1	0	1	0	0	0	2	0	0	0	1	1	1	0	1	0	1	2	1	2	1	0	0	1	0	0	0	0	0	1	0	1	0	1	0	0	0	0	0	1	0	0	1	2	0	1	1	0	0	0	1	0	1	2	0	0	0	1	2	0	0	1	0	1	1	0	0	0	2	0	0	0	1	0	0	0	2	0	2	0	2	1	0	0	0	0	0	1	0	0	0	0	0	0	1	1	0	0	1	0
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0	1	0	0	0	0	1	0	2	1	1	2	0	0	1	1	0	1	1	0	1	0	0	0	1	0	0	1	1	0	1	1	0	1	1	0	0	1	2	0	0	1	0	1	0	0	1	0	0	1	0	1	0	1	0	2	0	0	0	0	2	0	0	1	1	0	2	0	0	1	1	0	1	1	0	0	2	1	1	0	0	1	0	1	0	1	1	0	1	0	0	0	0	2	1	0	0	1	0	0	0
0	1	0	0	0	1	0	0	1	2	1	2	1	2	0	0	0	2	0	0	0	0	0	0	1	1	1	0	0	1	1	1	0	1	2	0	2	0	0	0	0	1	1	1	2	1	0	0	1	0	1	0	0	1	1	2	0	1	0	2	1	0	0	0	0	1	0	1	0	1	1	2	0	1	0	0	1	0	0	1	0	0	1	1	0	0	1	1	1	0	0	1	0	2	1	0	0	0	0	0	0
0	1	0	0	0	0	2	1	0	0	0	0	1	0	0	1	0	1	0	2	1	0	0	1	1	0	0	0	2	1	1	2	1	1	0	0	2	1	0	0	0	1	2	1	0	0	0	1	0	0	0	0	1	0	2	1	1	0	0	1	1	0	1	0	1	1	1	0	0	0	0	0	0	1	0	0	1	1	0	0	0	1	0	2	0	0	1	1	1	1	1	1	0	0	1	0	1	1	0	2	0
0	2	0	0	1	0	0	0	1	0	1	1	0	0	1	0	0	0	1	1	1	1	1	1	2	1	1	0	0	2	1	1	0	1	1	1	1	1	1	1	1	1	2	1	1	0	0	0	1	0	1	0	0	1	2	2	1	0	0	0	2	1	0	0	0	1	2	0	0	1	0	1	1	0	0	0	0	1	0	0	1	1	1	1	1	2	2	1	0	0	0	0	0	1	0	1	1	1	0	1	0
1	1	0	1	1	0	0	1	1	0	0	1	1	0	1	1	0	2	0	2	1	0	0	1	0	1	1	2	2	0	2	2	0	1	1	0	0	0	1	0	0	1	0	0	1	1	0	0	0	0	0	1	1	0	1	1	2	1	0	1	1	0	0	2	0	0	0	0	0	0	0	2	0	0	0	0	1	1	0	0	1	0	0	1	0	2	2	1	0	0	0	0	0	1	1	0	0	0	0	0	0
1	0	0	1	0	0	1	0	1	1	1	1	0	1	0	2	0	1	0	1	0	1	0	1	1	1	1	1	1	0	0	1	0	2	2	0	1	1	0	0	1	1	1	2	0	0	0	1	0	0	1	1	1	1	2	2	1	0	0	0	1	0	0	0	0	1	2	0	0	1	1	0	0	1	0	1	0	0	1	0	0	1	0	1	0	0	1	1	1	0	0	0	0	1	0	1	2	0	0	0	0
0	1	0	1	0	0	1	0	1	1	1	1	0	0	0	2	1	1	0	0	1	1	0	1	0	1	1	0	0	0	0	2	2	1	2	0	1	0	1	0	0	0	0	1	0	0	0	1	0	2	0	0	1	1	1	0	0	0	0	0	2	0	0	0	0	1	1	0	0	1	0	1	2	1	0	1	0	0	0	1	0	1	0	0	0	0	1	0	1	0	0	0	0	1	0	0	1	0	0	0	0
0	2	0	0	1	2	0	2	0	0	1	2	0	0	0	2	1	1	1	1	2	0	0	0	0	0	0	0	0	1	0	1	1	1	1	1	0	1	0	0	1	0	0	1	2	0	0	1	0	0	1	0	0	1	2	2	0	0	2	0	0	0	1	0	1	1	0	0	0	0	0	0	0	0	0	1	0	2	0	2	1	1	0	1	0	1	0	1	2	0	2	0	0	1	1	1	1	0	0	0	0
0	0	0	0	0	0	0	1	0	1	0	0	0	1	0	2	0	0	0	0	1	1	0	1	0	0	1	0	0	0	0	1	0	0	2	0	2	0	0	1	1	0	1	1	0	0	0	0	0	1	0	0	1	0	1	1	1	1	0	0	1	0	0	1	0	1	0	0	0	1	0	1	1	0	0	2	0	0	0	1	0	1	0	0	0	2	1	0	0	0	1	0	0	0	0	0	0	1	0	0	0
0	1	0	1	0	1	0	0	0	0	2	2	0	0	0	2	0	1	1	1	1	0	0	2	2	0	0	2	2	0	1	0	0	0	0	0	1	1	0	0	2	0	1	0	0	0	0	0	0	0	0	0	1	1	1	0	2	0	0	0	2	0	0	1	0	1	0	0	0	0	0	1	1	0	0	1	1	0	1	1	1	1	1	0	1	2	1	2	1	1	1	0	0	1	0	0	0	0	0	0	0
1	0	1	1	2	0	0	0	1	0	0	1	1	1	0	0	1	1	2	1	1	2	0	0	1	0	1	1	2	0	0	0	0	1	1	1	1	1	1	0	0	0	0	0	1	0	0	0	0	2	0	2	1	2	0	2	0	0	0	1	1	0	0	1	0	1	2	0	0	1	1	1	0	2	1	1	2	1	0	1	0	1	0	2	0	1	1	1	1	0	0	2	0	0	1	0	0	1	0	0	0
0	0	0	0	0	0	1	1	0	2	0	1	0	1	2	1	0	1	1	1	1	2	0	0	0	0	0	1	1	0	0	2	0	2	1	0	1	0	0	0	1	1	0	0	2	0	1	0	0	0	1	0	0	0	1	0	2	0	0	0	0	0	0	1	1	1	0	0	0	0	1	2	1	0	2	1	0	2	0	1	0	1	0	2	1	1	0	1	1	0	0	0	0	1	0	0	1	0	0	0	0
1	0	0	0	0	0	0	0	0	1	0	0	0	0	0	2	1	1	0	1	1	1	0	1	1	1	0	0	1	0	0	2	0	1	0	0	2	2	1	0	1	2	0	1	0	0	0	0	0	0	0	0	1	1	1	0	1	0	0	0	1	0	0	0	1	1	1	0	0	0	0	0	1	0	0	1	1	2	0	1	0	0	2	0	1	0	1	2	2	0	1	1	0	0	0	0	0	1	0	0	0
1	1	0	1	0	0	0	0	0	1	2	0	0	0	0	1	0	0	0	2	2	0	1	0	0	1	0	0	1	0	1	1	0	0	0	0	2	1	0	0	0	1	2	1	1	0	1	0	1	0	1	1	1	0	0	0	2	0	0	1	1	0	0	1	0	0	0	0	0	1	0	1	0	1	0	2	1	1	0	2	0	0	0	0	0	0	0	2	0	0	0	0	0	1	1	0	2	0	0	0	0
0	1	0	1	1	0	1	0	1	0	1	0	0	2	0	2	1	1	0	0	0	0	0	0	1	1	0	0	1	1	1	1	0	2	1	0	2	2	1	2	0	2	1	1	1	0	1	1	0	0	1	1	0	2	1	1	1	0	0	0	1	0	0	0	0	1	2	1	0	0	0	0	0	1	0	1	1	1	0	1	0	1	0	0	0	1	0	0	0	0	0	1	0	0	1	0	0	1	0	0	0
0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	1	2	0	1	0	0	1	1	0	0	0	1	0	1	2	1	0	0	1	1	1	0	1	1	1	1	1	0	0	1	0	0	0	1	1	2	1	1	1	0	1	0	1	0	1	1	0	2	1	0	0	0	0	1	1	0	0	1	1	1	0	1	0	1	0	2	0	2	0	1	0	0	1	0	0	2	2	0	1	1	0	0	0
0	2	0	1	1	2	0	0	0	0	2	1	0	0	1	1	0	0	0	0	0	1	0	1	2	0	1	0	0	0	0	0	0	0	1	2	1	0	0	0	1	1	0	0	1	0	0	1	0	1	0	0	0	0	1	0	1	0	0	1	1	0	0	0	1	1	1	0	0	0	0	0	0	0	1	1	1	1	1	1	1	0	0	1	0	1	1	1	2	0	0	1	0	2	1	0	0	0	0	1	0
0	1	0	1	1	0	1	0	0	1	0	1	1	1	0	1	0	0	0	1	1	2	0	1	1	1	0	0	0	0	1	2	2	2	2	1	0	1	0	0	1	0	1	1	2	1	1	1	0	0	2	0	0	2	2	2	0	0	1	0	0	0	0	0	1	1	1	0	0	1	0	1	2	0	0	0	1	0	0	1	0	1	0	1	1	2	0	1	0	0	0	0	0	2	0	0	0	1	0	0	0
1	2	0	0	1	0	0	2	1	0	1	1	0	1	0	1	1	1	0	0	1	1	0	0	1	0	1	0	0	1	0	0	0	1	1	0	1	0	0	0	0	1	1	1	0	0	0	0	0	1	0	1	1	0	0	1	1	0	0	1	2	0	0	0	1	1	0	0	0	1	0	2	1	0	0	1	1	0	1	0	1	1	0	1	0	0	2	0	0	0	1	0	0	0	0	0	0	2	0	0	0
0	1	0	0	0	0	0	0	0	1	0	1	1	0	0	1	0	1	2	0	1	0	0	1	2	0	0	1	0	0	0	0	1	0	1	0	2	1	0	0	0	1	1	1	0	0	0	0	0	0	0	1	2	0	0	1	2	0	0	1	1	0	0	0	0	1	1	1	0	0	0	1	1	1	0	1	0	1	1	1	1	1	2	0	0	0	2	1	1	0	0	0	0	1	0	1	2	0	0	0	0
1	1	0	0	1	0	0	0	1	1	0	1	1	1	0	1	0	0	0	1	1	1	0	2	1	0	0	1	1	1	2	0	0	0	0	0	2	2	1	0	0	2	2	1	2	0	0	0	0	0	0	0	1	1	1	0	2	0	0	1	0	0	0	0	1	1	2	1	0	0	1	1	1	0	1	0	1	2	0	1	0	1	0	2	1	0	2	1	1	0	0	1	0	0	0	0	0	2	0	0	0
0	1	0	1	0	0	1	1	1	2	0	1	1	0	0	0	1	1	0	0	0	0	0	0	1	0	1	0	0	0	0	0	1	1	1	0	0	1	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	2	2	0	0	1	0	0	0	1	0	2	0	1	0	0	0	2	1	0	0	1	2	1	2	1	0	1	0	1	0	0	0	0	2	0	1	1	0	0	0	1	1	1	0	1	0
1	1	0	0	1	1	1	2	0	1	1	2	1	1	0	1	1	0	0	1	2	1	0	1	0	0	0	0	1	0	0	2	0	1	0	0	0	1	0	0	1	2	0	0	1	0	0	2	0	1	1	0	1	1	2	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	0	1	0	0	0	2	1	1	1	0	0	0	0	1	0	1	1	0	0	0	0
0	0	0	0	0	0	1	0	1	0	1	0	1	0	0	1	0	1	1	1	1	1	0	1	1	1	0	0	0	0	0	0	0	1	1	0	1	0	1	0	1	1	0	1	1	0	0	1	1	0	1	0	1	1	0	1	2	0	1	0	1	0	0	1	1	0	0	2	0	1	1	2	1	1	1	0	0	0	1	0	0	1	0	0	0	1	1	1	2	1	2	1	0	1	0	0	0	1	0	0	0
1	1	0	0	1	0	0	0	0	0	1	2	2	0	0	1	0	0	0	1	0	2	0	1	0	1	1	0	1	0	0	1	1	1	0	0	0	0	0	0	0	1	0	1	2	0	0	1	0	1	0	0	0	1	1	1	2	0	0	0	1	0	0	0	0	1	0	0	0	1	1	1	1	1	1	1	1	2	0	0	0	1	0	1	0	0	2	1	0	0	0	0	0	1	0	0	1	0	0	0	0
0	1	0	1	0	0	0	0	0	0	1	0	2	0	0	1	0	0	0	0	0	2	0	1	1	0	0	0	1	0	1	1	0	1	0	0	2	2	2	0	0	1	2	1	1	0	0	2	0	0	0	0	1	0	2	0	0	0	0	0	2	0	0	0	0	1	0	0	0	0	0	2	1	1	1	2	2	0	0	1	0	2	0	2	0	0	1	0	2	0	0	0	0	0	0	0	1	0	0	0	0
1	0	0	1	0	1	0	0	1	0	1	0	0	1	0	1	1	2	1	1	1	1	0	1	1	0	0	0	1	1	0	0	1	1	1	1	1	0	0	0	2	2	0	2	2	0	0	1	1	1	0	0	1	2	1	1	0	0	0	1	1	0	0	0	1	0	2	0	0	1	1	1	0	0	0	2	2	0	0	0	1	0	1	1	0	1	1	1	1	0	0	0	0	2	0	0	0	1	0	0	0
0	0	1	0	0	0	0	0	1	1	0	0	1	0	0	1	0	1	0	0	0	1	0	0	1	1	0	0	1	0	2	1	0	0	0	0	1	1	0	0	1	0	1	1	0	0	0	0	0	1	1	2	0	1	2	1	0	0	0	0	1	0	1	0	0	1	0	0	0	0	0	0	1	0	1	1	0	1	2	2	1	1	0	1	0	1	1	0	1	0	0	0	0	0	1	0	1	1	0	1	0
0	2	0	1	0	0	0	2	1	2	1	1	1	2	1	1	0	0	1	1	2	0	0	1	0	0	1	0	1	0	0	0	0	1	1	0	1	0	0	0	0	0	1	1	2	0	1	1	0	1	0	1	1	1	0	1	1	0	1	2	1	0	0	1	0	0	2	0	0	1	0	1	1	0	0	1	0	2	0	1	0	0	0	0	0	1	1	1	1	1	0	1	0	0	0	1	0	0	0	0	0
2	0	0	0	0	0	0	1	0	2	1	2	0	0	0	2	1	1	0	1	0	0	0	0	2	0	1	0	0	1	1	1	0	1	0	0	1	0	0	0	1	1	1	1	2	0	1	1	0	1	1	1	0	1	2	2	0	0	0	1	1	0	0	1	0	1	0	0	0	0	0	1	0	1	0	0	1	1	0	1	0	0	0	1	0	0	1	0	1	0	0	0	0	0	0	1	1	0	0	0	0
0	2	0	0	0	0	1	1	2	0	1	0	1	1	0	2	1	1	0	1	2	2	0	1	1	0	0	1	1	0	1	0	0	0	1	0	2	0	1	0	1	2	0	0	1	1	0	1	0	1	0	0	1	0	0	0	0	0	0	0	1	0	0	1	0	2	2	0	0	1	0	0	0	1	1	1	0	2	0	0	0	1	0	0	1	2	1	1	0	0	0	1	0	1	1	1	1	0	0	0	0
0	0	0	1	0	0	0	1	0	0	0	1	1	1	0	1	1	1	1	2	0	1	0	1	0	1	0	0	0	0	0	1	0	2	2	0	0	1	0	0	1	1	1	1	0	0	0	0	0	0	0	1	0	0	1	0	1	1	0	1	0	0	0	0	0	0	2	0	0	0	0	1	1	0	0	2	0	1	0	0	0	1	0	1	0	0	0	1	1	0	0	0	0	0	2	0	1	1	0	0	0
0	2	0	1	0	0	0	0	1	2	1	0	1	0	0	0	0	1	1	0	0	1	0	1	0	0	1	1	0	0	1	1	0	1	2	1	1	1	0	0	2	1	2	0	0	0	2	1	0	2	0	1	1	0	1	1	0	1	0	1	1	0	0	0	0	2	1	0	0	1	0	2	0	0	0	0	0	2	1	0	1	1	1	1	0	1	0	0	1	0	1	0	0	2	1	0	1	1	0	0	0
0	1	1	0	0	0	1	0	1	0	1	1	0	1	0	2	0	1	1	2	0	1	0	0	0	1	1	0	0	1	1	0	0	1	0	0	1	1	0	0	1	0	1	1	1	0	1	0	0	2	0	0	1	0	1	0	1	0	0	0	1	0	0	0	0	0	1	1	0	1	0	1	2	0	0	1	1	1	1	0	0	1	0	2	0	1	1	1	0	0	0	0	0	1	0	0	1	1	1	0	0
0	0	1	1	1	1	1	1	0	0	1	1	2	0	1	1	1	1	0	1	2	2	0	2	2	1	0	0	1	1	0	1	0	1	1	0	2	2	0	1	0	1	1	1	2	0	0	0	1	1	0	0	2	0	1	0	2	0	0	1	2	0	0	1	0	1	1	0	0	1	1	0	2	1	0	0	0	0	0	1	0	0	1	1	0	1	0	1	1	0	1	1	0	0	0	1	0	1	0	0	0
0	0	0	0	0	0	0	0	1	0	0	1	1	1	0	2	0	1	0	2	0	2	0	0	1	0	1	0	1	0	0	0	0	1	2	0	2	1	0	0	1	1	0	1	1	0	0	1	1	0	1	0	0	0	1	1	0	0	0	0	0	0	0	0	0	2	1	1	0	0	1	1	0	1	0	1	1	1	0	0	0	0	0	1	0	0	0	1	1	0	0	0	0	0	2	2	1	1	0	0	0
0	0	1	0	1	0	1	0	1	1	0	1	2	0	1	2	1	2	1	0	2	0	0	0	1	1	0	0	1	0	0	1	0	1	0	0	1	1	0	0	0	1	0	0	1	1	0	0	0	0	0	0	0	1	0	1	1	1	0	1	0	0	1	0	1	0	1	0	0	1	0	1	1	0	0	0	0	1	0	1	1	1	0	1	0	1	0	1	1	1	0	0	0	0	1	1	1	0	0	1	0
0	0	0	0	2	1	0	1	0	0	0	0	1	0	0	1	1	1	0	0	1	1	0	0	2	1	1	0	1	0	1	0	0	0	1	0	0	0	1	0	1	1	1	1	1	0	0	1	0	2	0	1	1	1	1	0	1	0	1	0	1	0	0	0	1	2	1	0	0	1	1	0	0	0	0	0	1	1	1	1	0	1	0	0	0	0	1	1	1	0	0	0	0	0	1	0	1	0	0	0	0
0	1	0	0	0	0	1	0	1	1	0	0	1	2	0	2	0	1	0	1	0	0	0	0	1	2	0	0	1	0	0	0	0	2	1	0	2	1	1	0	1	0	1	0	2	0	0	0	0	1	0	0	0	1	0	0	2	0	0	1	1	0	1	0	1	1	0	0	0	1	0	2	1	1	0	2	2	0	1	0	0	2	0	0	0	1	2	0	0	0	0	1	1	1	0	0	0	0	1	0	0
0	1	0	0	0	0	2	2	0	0	2	1	1	1	0	0	0	1	0	0	0	1	0	0	1	0	0	0	1	0	0	0	0	2	1	1	1	0	0	0	0	1	1	1	2	2	1	2	0	0	0	0	0	0	1	1	1	0	0	1	1	0	0	0	0	2	2	0	0	0	0	2	1	0	0	1	0	1	0	1	0	1	1	0	0	1	2	0	1	1	0	0	0	0	1	2	1	0	0	0	0
1	2	0	0	0	0	1	0	1	0	1	1	2	1	0	0	1	1	0	0	0	0	1	0	1	1	0	0	2	1	0	2	0	2	1	0	1	0	0	0	1	0	1	2	0	0	0	2	1	0	0	0	2	0	1	1	1	0	0	0	0	0	0	0	1	2	1	0	0	0	0	1	0	0	1	1	1	1	1	0	0	0	0	1	0	0	2	1	0	0	0	0	0	0	0	0	1	2	0	0	0
0	0	0	1	0	0	0	2	0	1	0	1	0	1	0	2	0	1	1	1	0	2	1	0	1	0	0	0	0	0	0	2	0	1	0	0	1	2	0	1	1	1	1	1	1	1	1	0	0	0	0	1	1	1	1	1	2	0	0	2	1	0	0	1	0	1	1	0	0	0	1	1	0	0	0	2	0	1	1	1	0	1	0	2	0	1	2	1	0	0	2	1	0	0	0	0	0	1	0	1	0
0	1	0	0	0	0	0	1	0	0	1	0	0	1	1	0	0	1	2	0	0	1	0	0	1	1	0	0	0	1	1	0	0	1	1	0	0	1	0	0	0	2	1	0	1	1	0	0	0	1	0	0	1	0	2	1	1	0	0	0	1	0	0	0	1	0	1	1	0	0	0	2	0	0	0	2	1	0	2	0	0	0	1	0	0	2	1	1	2	0	0	0	0	1	0	0	1	0	0	0	0
0	2	0	1	1	0	1	1	0	1	2	2	0	1	0	1	0	1	0	0	1	1	0	0	1	1	0	0	0	1	1	0	0	2	0	0	1	0	0	0	0	1	0	1	1	0	0	1	0	0	1	0	1	0	0	0	2	0	1	2	0	0	1	0	0	2	2	0	0	1	1	2	0	1	0	0	0	2	0	1	0	1	1	0	0	2	0	0	1	0	0	0	0	0	1	0	2	0	0	0	0
0	1	0	0	0	0	0	1	1	0	2	1	0	2	0	0	0	0	1	0	0	0	0	0	2	0	0	2	1	1	1	0	0	1	0	0	2	1	1	0	1	1	0	1	1	0	0	1	0	1	0	0	2	1	2	0	0	0	0	0	2	0	0	0	0	0	1	0	0	0	0	2	1	1	1	2	0	2	2	0	0	2	0	1	1	1	0	1	0	0	0	1	0	1	1	0	0	0	1	1	0
0	0	0	1	1	0	0	1	1	1	1	1	1	0	0	2	0	1	1	1	0	2	0	1	1	0	0	1	1	0	0	2	0	2	0	0	2	1	0	0	0	2	1	2	1	0	0	0	0	1	1	0	1	0	1	1	1	1	0	0	1	0	0	0	0	0	0	0	0	0	1	2	1	0	0	1	0	0	1	2	0	1	0	1	0	1	2	0	2	0	0	0	0	1	1	0	0	0	0	1	0
0	0	0	1	1	0	0	0	2	0	0	1	1	0	0	1	0	1	0	1	1	2	0	0	1	1	0	0	0	1	0	0	0	0	1	0	1	1	2	0	0	1	1	0	2	0	0	2	0	0	0	1	0	0	1	0	1	1	1	1	1	0	0	0	1	2	1	0	0	0	0	0	1	0	0	1	0	2	1	1	0	2	1	0	0	1	2	1	1	0	1	0	0	1	1	0	0	0	0	1	0
0	0	0	1	0	1	1	0	1	1	2	0	1	1	1	1	0	0	0	1	0	0	0	0	0	1	0	0	0	1	1	0	0	0	1	0	1	0	0	1	0	1	1	0	2	1	1	2	0	0	0	1	1	1	0	0	1	1	0	1	0	0	0	1	1	2	1	0	1	1	0	2	1	1	0	1	0	1	1	1	0	1	1	0	0	0	0	1	2	0	0	0	0	1	1	0	1	1	0	0	0
1	1	0	0	0	1	1	0	2	2	0	1	1	1	1	1	0	1	1	0	1	0	0	0	0	1	0	1	1	0	1	1	1	1	0	1	2	0	0	0	1	0	0	1	2	0	0	0	0	1	2	0	1	1	1	0	2	0	0	0	0	0	0	1	0	0	1	0	0	1	2	1	1	1	0	0	1	1	0	1	0	1	0	1	0	0	2	2	1	1	0	1	0	0	1	1	1	0	0	0	0
1	0	0	1	1	0	0	0	0	0	0	1	1	0	0	2	0	0	1	1	1	0	0	0	2	2	0	0	0	1	2	0	0	1	1	0	1	0	0	0	1	2	2	0	0	0	0	1	1	1	0	0	1	0	1	2	0	0	0	0	1	0	0	1	1	2	1	0	0	2	1	1	0	0	1	1	0	0	0	0	1	0	0	2	0	0	1	1	0	0	0	0	0	0	2	0	1	1	0	0	0
0	1	0	1	1	0	1	1	1	0	1	2	1	0	0	2	1	0	1	1	0	0	1	1	1	1	0	0	0	1	0	1	0	1	0	0	2	1	0	0	0	1	1	2	1	1	1	0	0	1	0	1	1	0	2	1	2	0	0	0	0	0	1	1	1	0	1	0	0	1	0	1	1	0	0	0	1	0	1	0	1	1	1	1	0	0	1	1	1	1	1	0	0	0	2	0	2	0	0	0	0
0	1	1	1	0	0	0	1	1	0	0	0	1	0	0	2	0	2	1	1	1	0	1	1	0	0	0	0	2	1	0	0	1	2	1	0	0	1	1	0	1	0	1	1	0	0	1	0	0	1	0	0	2	0	2	2	0	0	0	0	0	1	0	1	0	2	1	0	0	0	2	1	1	0	0	2	0	1	2	0	0	1	1	1	0	2	0	0	0	0	1	0	1	1	1	0	2	0	0	0	0
0	0	0	1	1	1	0	1	1	1	0	0	1	0	1	0	1	0	0	0	1	1	0	0	2	1	0	0	1	1	0	0	0	1	1	1	0	1	0	0	1	1	0	0	0	0	1	0	0	1	0	0	2	0	1	1	1	0	0	2	2	0	0	0	0	1	2	1	0	0	0	2	1	0	0	2	1	0	1	0	0	0	0	0	0	1	0	0	1	0	1	0	0	0	1	1	1	0	0	1	0
0	0	0	1	1	2	0	0	1	0	1	1	0	0	0	1	1	2	0	1	1	1	0	0	0	0	0	0	1	0	0	0	2	1	1	0	1	1	1	0	1	1	0	1	2	0	0	1	1	1	0	1	0	0	2	0	1	0	0	1	2	0	0	0	0	1	1	0	1	1	0	2	0	0	1	0	0	0	0	0	0	0	0	1	0	2	0	1	1	1	0	0	1	0	1	0	1	2	0	1	0
0	1	0	2	0	0	1	0	0	1	0	2	1	1	0	0	0	1	0	0	1	0	0	1	1	0	0	0	1	1	0	0	0	1	1	0	0	0	0	0	0	1	1	1	2	0	0	1	0	0	1	0	0	0	0	1	1	0	1	1	0	0	1	1	0	0	1	0	0	0	0	2	2	1	0	2	1	0	2	1	0	0	1	1	0	1	2	2	1	0	0	1	0	1	1	0	0	1	0	0	0
0	1	1	1	1	1	0	0	1	1	1	1	2	1	1	1	0	0	0	0	2	1	0	0	2	1	1	0	0	0	1	1	0	1	1	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	1	0	0	1	0	2	0	0	0	1	0	0	0	0	0	1	1	0	0	0	2	1	1	0	1	1	1	0	1	0	2	1	0	0	0	1	1	2	0	0	1	0	1	1	0	1	1	0	0	0
1	2	0	0	0	0	0	0	1	0	1	1	1	2	0	0	0	1	1	2	1	2	0	0	2	1	0	1	0	0	0	0	1	1	0	0	1	1	1	0	0	1	1	0	1	0	1	0	0	1	1	0	0	1	0	1	1	0	0	0	0	0	0	0	1	0	2	0	0	0	0	0	1	0	0	0	0	1	0	2	1	1	0	0	0	1	2	0	1	0	0	1	0	0	1	0	2	1	0	0	0
0	0	1	0	0	0	0	0	0	0	2	1	0	0	1	0	0	0	0	2	0	2	0	1	2	1	0	1	0	2	0	0	0	1	0	1	1	0	0	0	1	1	1	1	0	1	0	1	1	1	0	0	0	1	1	2	1	0	0	1	1	0	0	1	1	0	1	0	0	1	0	0	0	1	0	2	0	1	0	0	0	2	0	0	0	1	1	1	1	0	0	1	0	0	0	0	1	1	0	0	0
0	1	0	1	1	0	0	2	0	0	0	1	1	1	0	1	0	1	1	1	0	0	0	0	0	1	0	0	0	0	0	1	0	1	0	0	1	2	0	1	1	2	1	1	1	0	0	1	1	0	0	1	1	0	1	1	1	0	0	0	1	0	0	2	0	2	1	0	0	0	0	0	1	0	0	0	2	0	1	0	0	1	0	0	0	1	0	0	0	2	0	2	0	0	1	1	0	1	0	0	0
0	1	0	1	0	1	0	0	1	0	1	0	1	2	0	1	1	1	1	0	1	1	0	1	0	0	0	0	0	0	1	1	0	1	0	0	0	0	0	0	0	0	0	0	1	0	1	1	1	1	0	1	0	0	0	0	1	0	0	1	2	0	0	0	0	1	2	0	0	2	0	0	0	0	0	2	1	1	1	0	1	1	1	0	0	0	1	1	2	0	0	1	0	1	1	1	0	1	0	0	0
1	2	1	0	0	0	0	0	1	1	0	2	0	0	1	1	0	1	0	1	1	0	0	0	0	0	0	0	0	0	1	0	1	0	0	0	1	1	0	0	0	2	1	0	0	1	1	0	0	1	0	0	2	0	1	0	0	0	0	1	1	0	1	0	0	1	0	0	0	0	0	2	1	0	0	0	2	0	0	0	0	1	0	1	0	0	1	1	0	1	0	0	0	0	0	1	1	0	1	1	0
1	0	1	0	1	1	1	0	1	1	1	2	1	1	0	2	2	2	0	1	0	1	0	0	0	0	0	1	0	1	1	2	1	2	1	0	1	1	0	0	0	0	0	1	1	0	0	0	0	2	1	0	1	0	1	0	2	1	0	1	1	0	0	1	1	2	1	0	1	0	1	1	1	2	0	0	1	0	0	0	0	0	0	1	0	2	1	1	0	0	2	0	0	1	0	0	1	1	0	0	0
0	1	0	0	0	0	0	1	0	0	0	0	0	1	0	1	0	2	1	1	0	1	0	0	0	0	1	1	2	1	1	0	1	1	0	0	1	1	1	0	1	0	0	2	1	0	1	2	0	1	0	0	1	1	0	0	1	0	0	0	0	0	0	0	0	2	2	0	0	0	1	0	1	0	1	0	0	1	0	1	0	2	0	2	0	0	1	0	1	1	0	0	0	2	1	1	1	1	0	0	0
0	0	0	1	0	1	1	1	1	1	0	1	1	0	0	0	1	1	1	2	0	1	0	1	0	1	0	0	1	1	1	0	1	1	0	0	0	1	1	0	1	1	1	0	1	0	0	1	0	0	0	0	1	0	1	0	1	0	1	0	0	0	1	1	0	2	0	0	0	2	1	0	0	1	0	0	1	1	0	0	0	0	1	0	0	0	2	1	1	1	0	0	0	0	0	2	0	1	0	0	0
0	2	0	0	0	0	0	0	1	0	2	1	0	1	0	0	1	1	1	1	1	0	0	0	1	0	0	0	0	1	0	0	1	2	1	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	1	0	1	0	0	0	0	0	1	1	0	0	1	1	1	0	0	0	2	0	0	1	0	1	1	1	1	1	0	0	0	0	0	0	1	1	0	0
0	0	1	0	1	0	1	0	2	1	1	1	1	1	0	1	1	2	1	1	1	1	0	1	1	0	0	0	1	0	0	0	0	0	0	0	1	1	0	1	2	1	1	2	2	0	0	1	1	0	1	1	0	1	1	1	0	0	0	0	1	0	0	0	0	2	1	0	0	2	0	2	1	2	0	2	1	2	0	1	0	1	0	0	0	1	1	1	0	0	0	2	0	1	0	0	0	0	0	0	0
1	0	0	0	0	0	1	1	1	0	1	1	1	1	0	0	1	0	1	1	1	1	0	0	1	2	0	1	1	0	0	1	0	1	1	0	2	0	1	0	0	2	1	0	0	1	0	1	0	0	0	0	1	0	1	0	0	0	0	1	1	0	0	0	0	2	1	0	0	2	0	0	1	0	0	1	1	0	1	0	0	1	0	1	0	1	0	1	0	1	1	0	0	1	0	1	2	0	0	0	0
1	1	0	1	0	0	0	0	0	0	1	1	1	2	0	2	0	1	1	1	0	1	0	1	0	1	1	0	0	0	2	2	0	0	2	0	1	2	0	0	1	1	1	1	1	0	0	0	0	0	0	1	1	0	1	1	0	0	0	0	1	0	0	0	0	0	2	0	1	2	2	0	1	0	0	1	0	0	0	1	0	1	0	0	0	1	0	0	1	1	0	0	1	2	2	1	0	1	0	0	0
0	1	0	0	0	1	0	0	1	0	1	0	0	1	0	1	1	2	0	0	1	0	0	1	1	0	0	0	0	1	2	0	0	1	2	0	1	1	1	0	2	1	2	0	2	1	0	2	0	1	1	0	1	1	2	1	2	0	1	0	0	0	0	0	0	0	0	1	1	1	0	0	1	0	0	1	0	1	0	0	1	1	1	0	0	0	1	1	0	0	0	0	1	0	1	0	0	0	0	0	0
0	1	0	0	1	0	0	1	0	1	1	1	0	1	1	0	1	2	0	0	0	1	0	1	2	1	0	0	0	0	1	1	0	1	1	0	0	0	2	0	2	2	1	0	0	0	0	0	1	0	1	0	1	0	2	0	1	0	1	1	1	0	0	0	0	1	2	0	0	1	0	1	1	0	0	0	1	0	0	1	1	1	2	1	0	1	0	1	2	0	0	0	0	0	0	0	1	0	0	0	0
0	0	0	0	0	0	0	1	1	1	1	0	2	0	0	2	0	2	1	0	0	1	0	1	1	1	0	0	1	1	0	2	0	2	0	0	2	1	0	0	0	2	0	0	1	0	0	0	0	0	0	0	1	1	1	1	2	0	0	0	1	0	0	0	0	1	0	0	0	0	1	1	1	0	0	1	2	1	0	0	1	1	1	0	0	0	2	1	0	0	0	1	0	1	0	0	1	0	1	0	0
0	0	1	0	0	0	0	0	0	0	0	1	1	1	0	1	1	0	1	2	1	2	0	1	0	0	0	1	1	0	0	1	0	1	1	0	2	1	1	0	1	2	1	1	0	0	0	0	0	2	1	1	0	1	2	2	1	0	0	2	1	0	0	0	1	1	1	0	0	2	0	0	0	0	0	1	2	0	0	1	1	1	0	1	0	1	2	0	2	1	1	0	0	1	0	0	1	1	0	0	0
1	1	0	2	0	0	0	1	0	0	1	1	0	0	0	2	2	0	0	1	1	2	0	0	1	0	0	0	0	2	1	0	0	1	1	1	1	1	1	0	0	0	1	0	1	0	0	0	0	1	1	0	0	0	1	2	1	0	0	1	1	0	0	0	1	0	0	0	0	1	0	1	0	0	0	1	1	1	0	0	1	0	1	1	0	1	1	1	0	0	1	0	0	1	1	0	1	1	0	0	0
0	2	0	1	0	1	0	0	0	1	1	0	1	2	0	2	0	1	1	1	2	0	0	1	1	0	0	1	0	0	0	0	0	1	2	1	0	0	0	0	0	1	0	0	1	1	0	0	0	0	0	0	1	1	2	0	0	1	0	0	1	0	1	0	2	0	1	0	0	0	0	0	1	1	0	1	1	1	0	1	0	0	0	0	0	0	1	1	2	0	0	1	0	0	1	0	1	0	0	0	0
1	1	0	1	0	0	0	0	0	1	1	0	1	1	0	2	0	0	0	1	1	1	0	1	0	0	0	0	1	1	0	1	0	1	1	0	1	0	0	0	1	0	0	2	0	0	0	1	0	1	0	0	0	0	2	1	2	0	0	2	0	0	0	0	1	2	1	0	0	0	1	0	1	0	0	1	1	2	0	1	0	1	0	1	0	1	1	1	2	1	0	1	0	1	1	0	2	1	0	0	0
0	2	0	1	0	0	0	0	0	0	0	1	0	0	0	0	1	0	1	0	1	1	0	0	2	1	0	0	0	0	0	2	0	0	1	0	2	0	0	0	0	1	0	0	1	1	0	0	0	0	0	0	0	0	0	1	2	0	0	0	2	0	0	0	0	0	1	0	0	1	0	0	0	0	1	1	2	1	0	0	0	1	0	2	0	1	1	2	2	0	0	0	0	0	0	0	1	0	0	0	0
0	2	0	0	0	0	0	0	1	0	2	2	1	1	1	1	2	1	1	1	1	0	0	2	0	0	0	0	1	1	0	1	0	1	1	1	2	0	0	0	0	0	1	1	1	0	0	1	0	2	0	0	0	0	0	0	1	0	0	0	1	0	0	0	0	2	1	0	0	1	0	0	0	0	0	0	0	1	0	0	1	1	0	1	0	0	1	0	1	0	0	0	0	2	1	0	1	0	0	0	0
0	1	0	1	1	0	0	0	0	0	0	1	0	0	1	1	1	1	1	2	0	2	0	0	1	1	1	0	1	1	0	0	1	1	2	0	1	0	0	0	0	0	0	0	2	1	0	0	1	2	0	0	1	1	0	2	0	0	0	0	1	0	0	0	2	1	1	0	0	1	0	0	0	0	1	2	0	1	1	0	0	1	1	0	0	1	0	1	1	1	0	0	0	1	1	0	0	0	0	0	0
1	0	0	1	0	0	2	0	0	0	1	1	1	1	1	1	1	0	1	1	2	2	0	0	1	0	1	0	1	1	1	0	1	1	2	0	2	0	1	0	1	0	0	0	0	0	0	0	0	1	0	0	1	2	1	1	1	0	0	1	0	0	0	1	0	1	1	0	0	0	0	0	0	0	0	1	0	1	0	0	0	1	0	0	0	1	1	0	1	0	1	0	0	1	1	1	1	0	0	0	0
1	1	0	1	1	1	0	0	0	0	1	2	1	0	1	2	0	1	0	1	0	1	0	0	1	0	0	0	0	0	0	0	1	0	0	0	1	0	1	0	1	2	1	0	2	0	0	2	0	0	1	1	0	1	0	0	0	0	0	1	1	0	0	1	2	0	1	0	0	0	0	0	1	2	0	2	0	1	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	1	1	0	2	0	0	1	0
0	1	0	0	0	0	0	0	0	1	0	2	1	1	1	1	1	0	1	1	1	0	0	1	0	0	0	0	1	1	1	0	0	2	0	0	1	1	0	0	0	1	1	1	0	0	1	0	0	1	1	0	0	0	1	1	0	1	0	1	2	0	0	1	0	0	2	0	0	1	0	1	0	1	0	0	0	1	0	0	1	0	0	1	0	2	1	1	1	0	0	0	0	0	0	1	0	0	0	0	0
0	0	0	1	0	1	1	0	1	2	1	1	1	1	0	2	1	1	0	1	0	2	0	0	0	0	0	0	0	0	0	2	1	1	2	0	1	0	1	0	2	1	1	1	1	0	0	1	1	1	0	1	2	2	1	0	1	0	1	0	0	0	0	0	0	0	0	0	0	1	0	0	1	1	0	0	0	0	1	0	0	1	0	2	0	0	1	0	1	1	1	0	0	0	0	1	0	2	1	1	0
0	0	0	1	0	0	0	1	0	0	1	1	1	1	1	0	1	0	2	1	1	1	0	0	1	0	0	1	1	0	0	0	0	1	1	0	1	2	0	0	1	0	1	2	1	0	0	0	0	0	0	0	0	2	1	1	2	0	0	1	2	0	0	0	0	0	0	0	0	1	1	1	0	1	0	1	1	1	1	0	0	1	0	0	0	1	2	0	1	0	0	1	0	0	0	0	1	0	0	0	0
0	2	0	0	0	0	1	0	1	1	0	1	0	0	0	1	0	2	0	1	1	0	0	1	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	1	2	1	0	0	0	1	0	1	0	0	2	1	2	1	1	0	0	0	2	0	0	0	1	0	0	0	0	0	2	0	0	0	0	0	0	0	1	2	0	1	0	0	0	0	2	0	1	0	0	0	0	1	0	0	2	1	0	0	0
0	1	0	1	0	0	1	1	0	1	1	1	1	0	0	0	1	1	1	1	1	2	0	1	1	1	0	1	0	0	1	0	0	1	1	0	1	1	0	0	1	1	1	2	0	0	0	1	0	1	0	1	0	0	0	1	1	0	0	1	0	0	0	1	0	0	1	0	0	1	1	0	0	1	0	2	1	1	0	0	0	2	0	1	1	0	2	0	1	0	0	0	0	1	1	0	1	0	0	0	0
0	0	0	0	0	0	0	0	0	1	1	1	0	1	0	2	0	0	0	1	2	0	0	0	0	0	1	0	0	2	1	1	1	1	1	0	1	1	1	0	0	0	2	1	1	0	1	0	0	0	0	0	0	0	2	1	2	0	1	0	0	0	1	0	1	1	1	0	0	1	0	1	1	1	0	0	1	1	1	1	0	1	0	0	1	0	0	0	1	0	0	0	0	0	0	1	1	0	0	0	0
0	0	0	0	0	1	0	1	0	0	1	0	0	1	0	2	1	1	0	0	2	1	0	1	0	1	0	0	1	0	0	0	0	1	0	0	2	0	0	0	1	0	0	1	0	0	1	1	0	0	0	0	2	1	1	0	0	0	1	1	2	0	0	1	0	1	1	0	0	0	0	1	2	0	0	0	0	2	0	0	0	0	0	2	0	1	1	0	0	2	0	1	0	0	0	0	1	0	0	0	0
0	0	0	0	1	0	1	1	1	1	0	1	1	0	0	0	2	1	1	1	1	1	0	0	0	0	1	0	1	1	0	1	0	0	0	0	2	0	0	0	1	0	1	2	1	0	0	1	0	1	0	0	1	1	2	0	1	0	0	0	2	0	0	0	1	2	1	0	0	1	2	0	1	0	0	0	1	2	0	1	0	0	2	1	1	2	1	0	0	0	0	0	0	1	0	0	1	1	0	0	0
0	0	0	0	0	1	1	1	1	0	1	0	1	0	1	0	0	1	0	1	1	2	0	2	1	1	0	0	0	0	1	2	0	1	2	0	2	1	0	0	0	1	2	2	1	1	0	1	0	0	0	0	1	0	0	0	0	1	0	1	1	0	0	0	0	0	1	0	1	0	0	1	1	0	0	1	1	1	0	0	1	1	1	1	0	1	1	0	0	0	0	0	0	0	1	0	1	1	0	1	0
0	0	1	1	0	0	0	1	1	1	0	1	1	0	0	2	1	1	1	0	0	0	0	2	2	0	0	0	1	1	2	1	0	1	0	0	0	1	0	1	0	0	0	1	2	0	0	0	1	0	0	0	0	0	1	1	1	0	0	2	2	0	0	0	1	2	1	0	0	0	1	0	1	0	0	1	0	2	2	1	0	1	0	1	1	1	1	0	2	0	0	0	0	1	0	0	1	1	0	0	0
1	2	0	0	0	0	0	0	0	2	1	1	1	0	0	0	0	1	0	0	0	0	0	1	1	1	0	0	1	1	1	0	1	2	2	0	2	2	0	1	0	1	0	1	0	0	0	0	0	1	1	0	1	0	1	1	1	0	0	1	1	1	0	1	1	1	2	0	0	1	1	1	0	0	0	1	1	0	0	0	0	0	0	0	0	2	2	0	0	0	1	1	0	0	0	0	0	1	1	0	0
1	1	1	0	0	0	2	0	0	0	2	2	1	0	0	1	1	2	1	1	0	1	0	0	1	0	0	0	0	1	0	0	1	0	2	0	2	1	0	0	1	2	0	1	0	0	1	1	0	2	1	0	0	0	2	0	2	0	0	0	0	0	0	1	0	0	0	0	0	1	0	2	0	0	1	0	0	1	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	1	2	1	0	0	0
0	0	0	2	0	0	0	0	0	1	0	2	1	1	0	0	1	1	2	2	1	1	0	0	1	2	0	1	1	0	1	0	1	2	2	0	1	1	0	0	0	1	0	2	2	0	1	1	0	1	1	0	0	0	0	0	1	0	0	1	2	0	2	1	1	0	1	0	0	1	0	1	1	0	0	0	1	1	1	0	0	1	0	0	0	0	2	1	0	0	0	0	0	0	0	1	2	1	0	0	0
0	1	0	0	1	1	1	0	0	1	2	0	1	0	0	2	1	0	1	1	0	2	0	0	1	0	1	0	0	0	0	1	1	0	0	0	1	2	0	0	1	1	0	2	0	0	0	0	0	1	0	0	1	0	1	1	1	0	1	1	1	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0	1	0	0	0	0	1	1	0	0	1	1	1	2	1	1	0	0	1	2	0	0	0	0	0	0
0	1	0	0	1	0	0	0	2	0	1	1	2	0	0	1	1	1	1	0	1	1	0	1	0	0	1	0	0	0	1	1	0	0	0	0	1	1	0	0	0	2	0	0	1	0	1	1	0	0	0	0	0	1	0	1	0	1	0	1	1	0	0	0	1	0	0	1	0	1	2	0	0	0	1	0	0	1	1	1	0	0	0	0	0	2	2	1	0	0	0	1	0	1	0	1	2	0	0	0	0
0	0	0	1	1	1	1	0	0	0	2	0	1	2	0	0	1	1	0	1	0	0	0	0	1	2	0	0	0	1	1	2	0	0	1	0	1	1	1	0	1	2	1	1	1	0	1	1	0	0	0	0	0	0	1	2	0	0	0	0	2	0	0	0	1	1	1	0	0	0	0	1	0	0	1	1	0	0	1	1	0	1	1	0	0	0	0	0	1	0	0	1	1	0	1	0	1	0	0	0	0
1	2	0	0	1	1	0	0	1	1	0	0	1	1	0	1	0	1	0	0	0	0	0	1	0	1	2	0	0	1	2	0	1	1	0	0	1	0	1	0	0	0	1	0	1	0	0	1	0	0	0	1	1	1	1	0	0	0	0	1	2	0	0	1	0	1	1	0	0	0	0	1	0	0	0	0	1	2	1	0	0	0	1	1	0	1	2	1	1	1	1	1	0	1	1	0	1	1	0	0	0
0	1	0	0	0	0	0	0	1	2	0	1	0	0	0	2	0	1	0	0	2	2	0	0	1	0	1	0	0	0	1	1	0	0	2	0	0	1	0	0	1	0	2	1	1	0	0	1	0	1	1	1	1	1	1	1	0	0	0	0	1	1	0	0	0	0	2	0	0	0	0	1	1	0	0	1	1	0	0	0	0	0	0	1	0	2	0	0	1	0	1	0	0	2	1	1	1	0	0	0	0
1	1	0	2	1	0	2	0	0	1	1	2	0	2	2	2	0	1	0	1	0	2	0	2	0	0	1	0	1	1	0	1	1	1	1	0	0	0	0	0	0	1	2	0	2	0	1	1	0	1	0	0	0	0	2	1	0	0	0	0	2	0	0	1	0	2	0	0	0	1	1	1	0	0	1	2	1	2	0	1	0	1	2	1	0	1	2	1	1	0	1	1	0	1	1	1	1	0	0	0	0
2	2	0	1	1	1	0	0	1	0	0	1	1	0	0	1	0	0	0	1	2	1	0	0	0	1	0	0	0	1	0	0	0	1	0	0	2	2	0	0	1	1	1	0	0	0	0	1	0	1	1	0	1	0	0	2	0	0	1	0	0	0	0	0	0	0	1	0	0	1	0	2	0	1	0	2	2	1	1	1	0	0	0	1	0	1	0	2	0	0	1	0	0	0	1	0	1	0	0	0	0
1	1	1	0	0	0	0	1	1	1	1	1	0	1	0	1	0	0	0	1	0	2	1	2	0	2	1	0	1	0	1	0	0	1	2	1	0	1	1	0	0	1	1	1	0	2	1	0	0	0	1	0	1	1	2	0	0	0	0	0	0	0	0	1	1	2	1	1	0	1	0	1	0	1	0	0	1	1	1	1	0	1	0	1	0	0	1	1	1	2	0	1	0	1	0	0	1	1	0	0	0
1	1	1	2	0	0	1	1	1	0	2	2	1	0	0	1	0	1	1	1	1	2	0	0	1	1	1	1	0	1	1	1	0	1	0	0	1	0	0	0	1	2	1	1	1	0	0	1	0	1	0	0	2	0	0	0	1	0	0	0	1	0	0	0	0	2	1	0	0	1	0	1	0	0	0	2	0	0	0	1	1	1	0	2	0	0	2	0	1	0	0	1	1	0	0	0	1	0	0	0	0
1	0	0	0	0	0	0	0	1	0	1	0	0	2	0	2	0	0	0	2	1	1	1	1	0	0	2	0	1	2	0	1	0	0	0	0	1	1	0	0	2	0	1	0	1	0	0	1	0	0	1	0	1	0	1	0	2	0	0	1	1	0	1	0	0	1	0	0	0	0	0	0	0	0	0	1	1	0	1	2	0	0	0	1	0	0	2	2	1	1	0	0	1	1	1	1	1	1	0	1	0
0	1	0	0	0	1	1	1	0	0	0	1	0	0	1	1	0	1	1	0	0	1	0	1	2	1	0	0	1	0	1	1	0	2	1	0	0	1	1	0	1	1	0	1	1	0	0	0	0	0	0	1	1	0	2	0	1	0	1	0	1	0	1	1	1	1	1	0	0	1	0	0	0	0	1	0	0	2	0	0	0	1	2	0	0	0	1	1	2	0	0	0	0	2	1	0	1	1	0	0	0
2	0	0	1	0	0	0	0	0	0	1	0	1	1	0	2	1	1	0	1	1	2	0	1	0	0	0	0	1	0	1	0	0	1	1	0	1	0	0	1	0	0	2	1	1	0	0	1	1	1	0	0	0	2	1	0	1	0	0	1	1	0	0	0	0	0	1	0	0	1	0	0	1	0	0	1	1	0	1	0	0	1	0	0	1	1	0	1	0	1	0	1	0	0	1	0	0	0	0	0	0
1	1	0	1	0	0	0	1	0	0	1	1	0	1	0	2	0	1	1	1	1	0	0	1	0	0	0	1	2	1	0	1	0	0	0	0	1	0	1	0	2	2	0	0	1	1	0	1	0	1	1	0	0	0	1	1	1	0	0	0	2	0	0	0	0	1	2	1	0	0	1	2	1	0	1	1	1	1	0	1	1	0	0	2	0	0	1	0	1	0	0	0	0	0	0	2	1	0	0	0	0
0	0	0	2	0	0	0	0	1	0	0	1	0	1	1	1	1	1	1	1	1	2	0	0	2	1	0	0	0	1	0	0	1	0	1	1	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	1	0	0	0	1	1	0	0	0	1	0	0	0	0	1	0	0	0	1	0	1	1	0	0	2	0	1	0	1	0	0	0	0	0	1	1	1	0	0	0	1	0	0	0	0	0	0	0	0	0
1	0	0	2	0	0	0	0	0	0	2	1	0	0	0	0	0	1	1	2	1	0	1	0	1	1	0	0	1	2	0	0	0	2	1	0	1	0	1	0	2	0	2	1	1	1	1	0	0	1	1	0	1	0	1	1	2	0	0	1	2	0	0	0	0	1	0	0	0	2	1	0	1	0	1	0	2	1	0	0	0	1	0	1	0	2	2	0	1	1	0	1	0	2	1	1	1	1	0	0	0
0	0	0	0	1	1	0	0	1	1	1	1	0	1	0	2	0	1	0	0	0	0	0	2	0	0	1	1	0	1	0	0	1	0	1	0	2	1	0	0	1	2	0	1	1	0	0	0	1	0	1	1	0	1	1	0	1	0	0	2	2	0	0	0	1	0	1	0	0	1	0	0	1	0	1	1	0	0	0	0	0	0	0	1	0	0	0	0	1	0	0	0	0	0	1	0	1	0	0	0	0
1	1	0	1	1	1	1	0	1	1	0	1	0	0	0	1	0	1	0	1	1	1	0	1	1	1	0	0	0	1	2	0	0	2	0	0	2	1	2	0	0	1	1	1	1	0	1	2	0	1	0	1	0	1	0	0	1	0	0	0	1	0	0	0	1	0	2	0	0	1	0	1	2	0	0	1	0	2	0	0	1	0	0	1	0	1	0	1	0	0	0	0	0	0	1	1	1	2	0	0	0
2	0	1	0	1	1	1	1	1	2	0	1	1	0	0	1	0	0	0	2	1	0	0	1	1	0	0	0	1	0	0	0	0	2	1	0	0	2	0	0	0	0	1	0	0	0	0	1	0	1	0	1	2	0	1	0	1	0	1	0	1	0	0	0	0	0	0	1	0	1	0	1	2	1	0	1	1	0	0	0	0	0	1	1	0	1	1	1	2	1	1	1	0	1	0	0	0	1	0	0	0
0	1	0	1	1	0	1	1	1	0	0	0	1	2	1	1	0	1	0	0	1	1	0	1	0	1	0	0	1	2	0	0	1	0	0	1	1	1	1	0	0	1	1	1	0	0	0	1	0	1	0	0	2	2	1	0	1	0	0	1	1	0	0	0	1	0	0	0	0	0	0	1	0	1	1	2	1	0	0	0	0	1	1	0	0	0	1	1	1	0	0	1	0	0	0	1	1	0	0	0	0
0	1	0	0	0	2	1	1	0	1	2	1	1	1	1	1	2	2	0	0	0	1	0	1	2	1	0	0	0	1	2	0	1	0	0	0	2	1	0	0	1	0	0	1	1	0	0	1	0	1	0	0	1	1	1	1	2	0	0	1	0	0	0	1	0	1	1	1	0	1	1	1	0	1	0	2	2	0	0	1	0	1	2	2	0	0	0	1	0	0	0	2	0	0	0	0	1	0	0	0	0
1	1	1	0	0	0	1	0	0	0	1	1	1	1	1	0	0	0	1	1	2	0	0	2	0	0	0	1	1	1	0	0	0	2	2	0	1	0	0	0	1	1	1	2	1	1	0	1	1	2	1	1	1	1	0	1	1	0	0	0	0	0	0	1	0	0	0	1	0	0	0	1	1	0	1	0	1	1	0	0	0	0	1	1	0	1	2	1	0	1	0	0	0	0	0	0	0	1	0	0	0
0	1	0	0	0	0	1	0	0	1	1	1	0	1	0	0	0	2	1	2	1	2	0	0	0	1	0	1	0	1	2	0	0	1	0	0	2	0	1	0	0	1	1	1	1	1	0	1	2	1	0	0	0	0	0	1	1	1	0	0	1	0	0	0	0	0	1	0	0	1	1	0	0	2	1	1	0	0	1	0	0	0	0	2	0	2	0	1	0	1	0	0	0	1	0	0	1	1	1	0	0
0	0	2	0	0	1	0	0	1	2	0	0	0	0	0	1	0	2	0	0	0	2	1	1	0	1	0	1	0	1	0	0	0	0	0	1	1	1	0	0	0	2	1	1	0	0	0	0	0	1	0	0	1	0	0	0	2	0	1	0	0	0	0	0	1	2	0	0	0	0	0	2	1	1	0	1	2	2	0	0	0	1	1	0	0	0	1	2	0	0	0	1	0	0	1	1	1	2	0	0	0
0	1	0	1	1	0	0	0	1	1	0	0	1	1	1	1	1	1	1	0	0	1	0	0	0	1	1	0	0	0	0	1	0	0	0	0	1	1	0	0	1	1	0	1	0	0	0	2	0	0	1	0	1	1	2	0	2	0	0	1	0	1	0	0	0	0	2	0	0	1	0	1	0	0	0	2	1	1	1	0	0	2	1	1	0	2	2	0	1	1	0	0	0	0	1	2	1	1	0	0	0
1	1	0	1	1	0	0	0	1	2	0	2	0	1	0	1	0	1	0	2	2	2	0	0	1	1	0	0	0	0	0	1	0	1	0	0	2	0	0	0	1	2	1	1	2	1	1	0	0	1	0	1	1	2	0	1	2	0	0	0	0	0	1	0	0	2	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	1	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0
0	2	2	1	0	0	1	1	1	0	1	1	0	1	0	1	0	0	0	1	1	2	0	1	1	1	0	1	2	0	1	0	0	1	0	0	0	1	0	0	1	0	0	2	1	1	1	1	0	0	0	0	1	0	2	0	1	0	0	0	2	0	1	0	0	1	1	0	0	0	0	1	2	0	0	1	2	2	0	1	1	2	0	1	1	0	2	2	0	1	0	1	1	1	0	1	0	1	0	0	0
0	1	0	0	1	0	0	0	1	0	1	0	2	0	2	0	0	0	0	1	1	0	0	0	2	0	0	1	1	0	1	0	1	0	0	0	0	1	2	1	2	0	1	1	1	1	1	0	0	0	0	0	0	1	2	2	1	0	0	1	0	0	0	0	1	0	1	1	0	2	0	1	0	0	0	0	0	0	2	0	0	2	0	0	0	0	0	1	2	0	1	1	0	1	0	1	1	0	1	0	0
0	0	0	1	1	0	0	0	0	0	0	1	1	0	0	2	0	1	1	0	2	0	0	0	0	0	0	0	0	0	0	1	0	0	1	0	1	0	1	0	0	0	2	2	1	0	1	0	1	1	0	0	2	1	1	1	0	0	0	0	0	0	0	0	0	2	1	0	0	2	0	0	0	0	0	0	0	0	0	1	0	1	1	2	0	2	1	0	2	1	0	0	0	0	2	0	0	1	0	0	0
0	2	1	2	0	0	0	0	0	0	0	0	1	1	0	2	0	2	1	1	1	1	0	1	2	1	0	1	0	1	0	0	0	2	0	0	0	1	0	0	0	0	1	1	0	0	0	1	0	0	0	0	1	0	1	1	1	0	0	1	0	0	0	1	0	1	2	0	0	1	0	2	1	2	1	0	0	2	1	0	0	0	0	1	0	0	1	1	0	1	0	0	0	0	0	1	0	0	0	0	0
0	1	0	1	0	0	0	1	2	1	1	1	0	0	1	0	0	2	0	1	1	2	0	0	0	1	0	0	1	0	0	1	0	1	2	0	2	1	1	0	1	1	1	1	1	1	0	0	0	2	0	1	0	1	1	0	0	0	0	1	1	1	0	2	1	2	2	0	0	1	0	2	0	0	0	0	0	2	2	0	1	1	0	0	0	1	2	0	1	1	1	0	0	1	1	0	1	0	0	0	0
1	1	1	0	1	0	1	0	1	1	0	0	0	1	0	2	0	0	1	0	0	0	1	0	1	0	0	0	0	0	1	0	0	1	1	0	1	1	0	1	0	1	1	0	1	0	0	1	0	0	0	1	1	0	1	1	0	0	0	0	1	0	0	1	0	1	1	0	0	1	0	2	1	0	1	1	2	0	0	0	0	1	0	0	0	1	0	1	1	1	1	0	0	0	0	1	1	1	0	0	0
0	1	0	1	0	0	0	0	1	1	1	0	1	0	1	0	0	0	0	0	2	1	0	0	0	0	1	0	1	1	0	0	1	1	0	0	1	0	0	0	1	0	0	0	2	0	0	0	0	0	0	1	0	1	2	1	0	0	1	1	0	0	0	0	1	1	1	0	0	0	1	1	0	0	1	0	0	0	1	1	0	1	1	0	0	1	2	0	1	0	0	0	0	1	0	0	2	2	0	0	0
0	1	1	0	0	0	1	1	0	2	1	1	1	1	0	0	0	1	1	0	0	0	0	1	1	0	0	0	1	0	0	1	0	1	2	0	2	1	1	0	0	1	1	1	1	0	1	0	0	1	0	0	2	0	1	1	0	0	0	1	2	0	0	0	0	1	1	0	0	1	0	2	0	0	0	1	0	2	0	1	0	2	0	1	0	0	1	0	1	0	0	1	0	0	1	0	1	1	0	0	0
0	2	0	0	0	0	1	2	1	1	1	1	1	1	0	1	1	2	2	1	0	1	1	0	1	1	0	0	0	1	1	1	1	1	2	0	1	0	2	0	0	1	1	1	1	1	1	1	0	0	0	0	0	2	1	0	2	0	0	1	1	0	0	0	1	0	1	0	0	0	0	1	0	2	0	2	1	1	0	0	0	0	0	1	0	0	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0
0	1	0	0	0	0	0	0	1	0	0	0	0	1	0	0	0	1	0	1	0	2	0	0	1	2	0	0	0	2	1	1	0	2	1	0	1	1	0	0	1	1	2	1	1	0	0	0	0	1	0	0	1	1	1	0	0	0	1	2	1	0	0	1	0	1	2	0	0	0	0	1	0	0	0	1	1	0	0	0	0	1	1	0	0	1	1	0	1	0	1	1	0	0	0	0	0	0	0	0	0
0	1	0	0	0	0	0	1	0	1	1	0	0	1	0	2	0	0	0	0	0	2	0	0	0	0	1	1	0	0	0	0	0	0	0	0	2	1	0	0	0	1	1	2	2	1	1	0	0	0	0	0	0	1	1	1	1	1	0	1	2	0	0	1	0	1	1	0	0	2	1	1	0	0	0	1	1	2	0	1	0	1	0	2	0	1	1	0	1	1	0	1	0	1	1	1	1	1	0	0	0
1	1	0	1	0	0	0	1	0	0	1	1	0	1	0	2	0	0	1	1	1	0	0	1	2	1	0	0	1	0	0	0	0	1	1	0	0	1	0	0	2	1	2	2	2	0	0	1	0	1	1	0	1	1	1	1	1	0	1	1	0	0	0	0	1	1	1	0	0	0	0	2	1	0	0	1	0	2	1	1	1	1	1	0	0	0	1	1	0	2	0	0	0	2	0	0	2	2	0	0	0
0	1	0	1	0	0	0	0	0	0	0	1	1	0	0	1	1	0	1	1	0	2	1	1	1	0	0	1	1	1	1	1	0	0	1	1	2	1	1	0	0	2	1	0	2	0	0	0	0	0	1	2	0	1	1	0	1	1	0	0	1	0	1	1	0	0	1	0	0	0	0	1	1	0	0	0	0	0	1	0	0	1	0	1	0	2	2	2	1	0	0	1	0	0	0	0	0	1	0	0	0
0	1	1	0	0	1	1	1	0	1	0	1	0	0	1	0	0	0	0	1	0	1	0	0	0	0	0	0	1	0	0	1	0	2	0	1	1	0	0	0	1	1	1	1	1	0	0	0	0	1	0	0	1	1	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	2	1	0	1	1	0	1	0	1	0	1	1	1	0	0	0	1	0	0	0	1	1	0	0	0	0
0	0	0	1	1	0	1	0	0	1	0	2	1	1	0	1	0	1	0	1	1	1	0	0	0	0	0	0	1	1	0	1	1	2	1	0	2	1	1	0	0	0	1	1	0	1	0	0	1	0	0	0	1	0	1	1	0	0	0	1	2	0	0	0	1	1	1	1	0	0	0	0	1	0	0	1	2	2	0	1	0	1	0	1	1	1	1	1	0	0	0	0	0	1	2	1	1	0	0	0	0
0	0	1	1	0	0	1	0	1	0	0	2	0	0	1	2	0	2	0	0	1	0	0	0	1	2	0	1	0	1	2	0	0	1	1	0	1	0	0	0	0	1	2	1	1	1	1	1	0	1	0	0	1	1	0	1	0	0	0	0	1	0	0	1	0	1	1	0	0	1	0	0	0	0	0	2	0	0	0	0	0	0	0	2	0	1	0	2	1	1	0	0	0	2	2	0	1	1	0	0	0
0	1	0	1	0	0	0	1	0	0	1	0	2	1	0	1	0	1	1	1	1	1	0	0	1	0	0	0	1	0	0	1	0	0	0	0	2	0	1	0	0	1	0	0	0	0	0	1	0	2	0	0	1	1	1	2	1	0	2	0	2	0	0	1	0	1	1	1	0	0	1	0	0	0	0	1	0	1	0	0	0	1	0	2	1	0	1	0	2	0	0	0	0	0	0	0	1	2	0	0	0
0	1	0	1	0	0	0	1	0	1	1	2	0	0	0	1	0	0	1	2	1	2	0	0	1	0	0	0	0	0	0	0	1	0	1	0	1	0	1	0	1	1	0	0	1	1	0	0	0	0	1	0	0	2	1	2	1	1	0	0	0	0	0	0	1	2	0	0	0	1	0	0	1	0	0	2	0	1	0	1	0	2	1	1	0	2	1	2	0	0	0	0	0	1	1	1	2	0	0	0	0
0	1	0	0	0	0	0	1	0	2	1	2	1	2	1	1	1	1	0	0	1	0	1	0	1	1	1	0	1	0	0	1	0	2	1	0	1	1	0	0	1	1	1	0	1	1	0	0	1	0	0	1	0	0	2	1	1	0	0	0	0	0	0	0	0	1	2	0	0	2	0	1	1	1	1	1	1	1	0	1	0	2	0	1	0	1	2	0	1	0	0	0	0	2	1	0	2	0	0	0	0
0	0	0	0	1	0	1	1	1	0	1	1	1	0	2	2	0	1	1	0	0	0	0	1	0	0	1	0	0	0	0	0	1	1	0	0	1	1	0	0	0	1	1	0	0	0	1	1	0	0	0	0	0	2	1	1	1	0	0	1	1	0	0	1	1	1	1	0	0	2	0	1	0	0	0	0	0	1	2	0	0	1	0	0	0	2	1	0	1	0	1	0	0	1	0	0	1	1	1	0	0
0	1	0	1	0	0	0	1	1	1	0	1	1	1	1	1	0	2	0	1	2	0	0	0	0	1	0	0	1	1	0	1	1	2	1	0	0	0	0	1	0	0	2	2	2	1	1	0	0	1	0	1	1	2	1	0	1	0	1	0	1	0	0	1	0	0	1	0	0	0	1	2	0	0	0	1	1	1	0	0	0	1	1	0	0	0	2	1	0	1	0	0	0	1	2	1	1	0	0	0	0
0	0	0	0	0	0	1	1	0	0	0	1	0	0	0	1	1	1	0	0	1	0	0	2	0	0	0	0	0	0	0	1	0	1	0	0	1	1	1	0	0	0	1	2	0	0	0	1	0	2	0	2	0	1	1	0	2	0	0	0	2	0	0	0	0	2	1	0	0	1	0	2	0	0	1	0	0	1	0	0	0	1	0	2	0	0	0	1	1	0	0	0	0	1	1	1	0	1	1	0	0
0	1	0	0	0	0	0	0	0	0	1	1	0	1	1	0	0	1	1	1	1	1	0	1	1	0	0	0	1	0	0	0	0	2	0	1	0	0	0	1	1	0	0	1	1	0	1	1	0	0	1	1	1	0	0	1	0	0	1	0	1	0	0	0	0	1	0	0	0	0	1	0	2	0	0	0	1	2	0	1	1	1	0	1	0	1	1	0	1	0	1	0	0	0	1	2	0	1	0	0	0
0	1	0	0	0	1	0	0	1	2	0	1	0	1	0	1	0	1	1	2	0	2	0	1	1	0	0	0	1	0	0	2	1	0	1	0	2	0	0	1	0	2	0	2	0	0	1	2	0	1	1	1	1	1	1	2	0	0	0	1	0	0	0	1	0	2	0	0	0	1	0	1	0	0	0	1	1	2	1	1	0	1	0	0	0	0	1	1	1	0	0	0	0	0	0	0	1	1	0	0	0
0	1	0	1	0	0	0	0	1	2	1	1	1	1	0	0	0	2	1	1	0	1	0	1	1	0	1	0	0	1	0	0	1	0	2	1	1	1	0	0	0	0	0	1	0	0	0	0	0	1	0	1	0	0	2	1	1	0	0	0	1	0	0	0	0	0	2	0	0	0	0	0	0	0	1	2	1	1	1	0	0	0	1	1	0	1	1	1	0	0	0	0	0	1	1	0	1	2	0	0	0
0	1	0	1	0	0	0	0	0	0	1	0	0	1	0	0	0	1	0	1	1	1	0	1	0	1	0	0	0	1	0	0	1	0	1	0	1	0	0	0	1	1	2	1	0	0	0	1	0	1	0	0	0	1	0	1	0	0	0	2	2	0	0	0	0	2	1	0	0	0	0	1	0	0	0	2	0	2	1	1	1	1	0	1	0	0	2	1	1	0	1	0	1	1	1	1	2	1	1	0	0
0	2	0	1	1	0	1	0	2	1	2	2	1	1	1	2	1	0	2	2	1	0	0	2	0	1	0	0	0	0	0	1	0	2	1	0	1	1	0	0	0	0	1	0	0	0	1	1	0	0	2	0	1	0	1	0	2	0	1	2	1	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	1	0	0	0	0	0	0	2	0	1	2	0	0	1	1	0	0	1	0	0	0	0	1	0	0
1	1	0	0	0	0	1	1	1	0	1	0	1	1	1	2	2	2	0	2	1	1	0	0	0	1	0	0	1	0	0	1	1	2	1	0	1	1	1	0	1	1	1	1	1	0	1	2	0	2	2	1	1	0	1	0	1	1	1	1	1	0	0	0	0	2	1	0	0	1	1	0	1	0	0	0	0	0	1	1	0	1	2	2	0	2	2	0	0	0	1	0	0	1	1	0	1	0	0	0	0
2	0	0	1	0	0	1	0	0	0	2	0	0	1	0	2	1	0	1	0	0	1	0	1	1	0	2	0	0	0	0	0	0	1	1	0	2	1	0	0	1	2	1	1	0	0	2	0	0	1	0	1	1	0	0	0	0	0	1	0	1	0	1	0	0	1	1	0	0	1	0	1	0	1	0	1	0	0	0	0	0	0	1	2	0	2	1	0	0	1	0	1	0	1	2	1	0	2	0	1	0
1	1	0	1	0	0	0	1	0	1	2	1	1	1	0	0	0	1	2	0	1	1	0	0	0	1	0	0	1	1	0	0	0	0	2	1	1	0	1	0	2	0	0	1	2	0	2	0	0	1	0	0	1	0	1	1	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	2	1	0	0	1	0	1	0	0	1	1	2	2	0	0	0	1	0	1	0	0	0	0	0	0	0
0	0	0	0	0	0	1	0	0	0	0	2	1	0	0	1	1	0	0	0	1	0	0	0	1	0	1	0	0	2	0	0	0	1	2	0	0	0	0	0	2	2	1	1	1	0	0	0	0	1	1	1	2	2	2	1	1	0	0	0	0	0	0	1	0	1	2	0	0	2	0	2	1	1	1	1	1	1	0	0	0	1	1	2	0	1	1	0	0	1	0	0	0	0	1	1	1	2	0	0	0
0	1	1	0	0	0	0	1	2	1	1	0	0	1	0	2	0	0	2	1	1	0	0	1	0	0	0	1	1	1	0	1	0	2	0	0	2	1	0	0	2	1	2	1	2	1	0	1	0	0	0	1	1	2	2	1	0	1	0	0	2	0	0	1	1	0	1	0	0	0	0	1	0	0	0	0	1	1	0	1	1	0	0	1	1	1	0	1	1	0	0	1	0	2	1	1	2	0	0	0	0
1	1	1	0	1	0	1	0	1	1	1	0	1	0	0	0	0	1	0	1	2	0	1	0	1	0	0	0	0	0	1	0	0	1	1	0	0	0	0	0	1	2	1	1	1	0	0	0	0	0	1	2	1	0	1	0	1	0	0	0	1	0	0	0	0	2	1	0	0	0	0	0	0	1	0	2	0	1	1	1	0	0	0	0	0	0	1	2	1	0	2	0	0	0	0	0	1	1	0	1	0
0	1	0	1	0	0	0	0	0	0	0	1	0	1	0	1	1	0	0	1	1	1	0	1	1	0	0	0	1	1	1	1	0	1	1	0	2	0	1	0	1	2	1	0	1	0	0	0	0	2	0	0	0	0	2	0	1	0	1	0	0	0	0	0	0	0	1	0	0	0	1	0	0	0	0	2	0	1	1	0	1	0	1	1	0	1	2	1	1	0	0	0	0	0	1	0	1	0	1	0	0
1	0	1	0	0	0	1	1	0	2	1	1	0	0	1	1	0	2	0	1	1	2	0	1	0	0	0	0	1	1	0	1	0	2	2	1	1	0	1	0	1	1	2	2	2	0	1	1	0	1	0	1	1	1	0	1	2	1	0	1	1	0	0	0	0	1	2	0	0	2	0	1	0	0	0	0	1	1	0	0	0	2	0	1	0	0	2	1	1	1	0	0	0	1	0	0	2	2	0	0	0
0	0	0	1	1	0	0	0	0	1	2	0	2	0	1	2	1	2	0	2	0	1	0	0	2	0	1	0	0	1	1	0	0	1	0	0	2	1	1	0	2	1	0	0	0	0	0	1	0	1	0	1	1	0	1	0	0	0	1	2	1	0	0	1	0	2	0	0	0	0	0	1	1	0	0	0	1	1	0	0	0	2	2	2	0	0	2	1	0	0	0	1	0	0	0	1	1	2	0	0	0
0	1	0	1	0	0	0	2	0	1	0	1	1	1	0	1	1	0	1	1	1	2	0	2	0	1	0	0	1	0	1	1	1	1	1	0	1	1	0	1	0	1	1	0	0	0	1	1	0	1	0	1	1	0	2	1	0	0	0	0	2	0	0	0	0	1	0	1	0	0	0	1	1	0	0	1	2	1	1	0	1	1	0	0	0	0	1	0	0	1	0	0	0	0	1	0	1	0	0	0	0
0	1	0	0	0	0	1	0	1	1	0	0	0	0	0	1	0	1	1	2	0	0	0	0	1	1	0	1	0	0	1	2	0	0	1	0	1	0	1	0	0	0	0	1	2	0	0	0	1	1	1	0	1	1	2	1	2	0	1	1	0	0	0	0	0	1	1	1	0	0	0	1	1	1	0	2	0	1	0	1	0	0	0	2	0	2	0	0	1	1	0	0	0	2	0	0	2	0	0	0	0
1	2	1	0	0	0	1	0	1	0	0	1	1	2	0	2	0	0	0	0	1	1	1	1	0	0	0	0	0	0	0	2	1	0	1	0	0	1	1	0	0	0	0	1	0	0	1	1	0	2	0	0	0	1	1	0	0	0	1	1	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	1	1	0	1	1	0	2	1	0	0	1	1	1	0	1	0	1	0	2	0	0	0	1	0	0	0
0	0	1	0	1	0	1	0	1	1	0	1	0	0	0	1	1	0	0	0	2	2	0	0	2	0	1	0	1	1	1	1	0	1	2	0	1	0	0	0	0	1	0	0	2	0	2	1	0	1	0	0	1	1	2	0	1	0	0	0	1	0	0	0	0	1	0	0	0	0	0	2	1	0	1	0	1	1	1	0	0	2	0	0	1	2	1	2	1	1	0	0	0	1	0	1	1	0	0	0	0
0	1	0	1	0	0	0	0	0	0	0	1	1	0	0	1	1	0	0	0	1	2	0	1	0	0	1	0	0	0	1	0	0	0	2	0	1	0	0	0	0	0	1	1	0	0	1	0	1	1	0	0	1	0	0	2	1	0	0	0	1	0	0	0	0	1	1	0	1	0	0	0	1	1	0	1	0	1	1	0	0	0	1	1	1	0	1	1	0	0	0	0	0	1	0	0	1	1	0	0	0
0	2	0	0	1	0	0	0	1	1	0	2	1	0	0	0	0	2	2	1	2	1	1	1	1	0	0	0	0	0	2	0	0	1	1	0	1	2	1	1	2	1	0	2	1	0	1	1	0	1	0	0	0	1	1	1	1	0	0	0	1	0	0	1	0	2	1	0	0	0	1	0	1	2	1	2	0	2	0	0	0	0	0	1	0	0	0	1	1	1	0	0	0	0	0	0	1	1	1	0	0
0	1	0	0	0	1	1	1	0	0	1	1	1	0	1	1	0	2	0	2	0	1	0	2	1	0	0	0	1	1	0	1	1	0	1	0	1	1	0	0	0	1	1	1	1	0	0	0	0	0	0	0	1	0	2	0	1	0	0	0	1	0	0	0	2	2	1	0	0	0	0	0	1	0	0	1	1	2	1	1	0	2	0	1	0	0	1	0	1	2	1	0	0	1	0	0	1	0	1	0	0
0	0	0	2	1	0	0	0	1	1	2	0	0	0	0	0	0	1	0	1	2	1	0	1	0	0	1	0	1	0	2	0	0	1	1	1	2	1	0	0	1	2	1	1	1	0	1	0	0	0	0	0	1	1	1	0	2	0	0	0	0	0	0	1	0	0	1	0	0	1	2	1	0	0	1	2	0	2	0	0	0	1	0	0	0	1	1	1	1	0	0	0	0	0	1	1	0	2	0	0	0
0	0	0	0	0	0	1	1	0	1	1	1	0	0	1	1	0	0	0	1	0	1	1	0	1	1	0	0	2	0	1	1	0	0	0	0	0	2	1	0	1	2	0	1	1	0	1	0	0	0	0	0	0	0	0	1	2	0	0	0	2	0	0	0	0	0	1	0	0	0	0	0	1	1	1	0	0	1	0	0	0	1	0	0	0	1	1	1	1	0	0	0	0	0	0	0	1	0	0	0	0
1	2	0	1	0	0	0	0	1	0	1	2	1	1	0	1	1	1	0	1	1	0	0	0	2	0	0	1	1	0	0	0	1	1	2	1	1	2	1	1	1	1	0	2	2	0	1	1	0	1	0	0	1	0	1	0	1	1	1	1	1	0	0	0	0	2	2	0	0	1	0	1	1	0	0	1	1	2	1	0	0	0	0	1	0	1	1	0	1	0	0	2	1	0	0	0	1	1	0	0	0
0	2	0	0	0	1	1	0	2	1	0	0	0	0	0	0	1	1	1	1	0	1	0	0	1	0	0	0	1	2	1	0	1	0	1	0	0	1	0	0	0	1	1	2	1	1	0	1	0	1	0	0	0	0	1	0	1	1	0	0	2	0	0	0	0	1	1	0	0	1	0	1	0	1	1	2	0	0	0	0	0	1	0	0	0	2	0	1	1	0	1	1	0	1	0	0	0	0	1	0	0
0	0	0	0	0	1	0	2	0	1	0	0	1	0	0	2	0	1	0	1	1	1	0	1	0	0	0	0	1	0	0	2	0	0	1	0	1	1	2	0	2	2	0	0	2	2	0	1	0	0	0	1	0	0	1	0	1	0	0	1	0	0	0	0	0	0	1	0	0	1	1	1	1	0	1	0	1	0	0	2	0	1	0	1	0	1	1	0	1	0	0	0	0	0	1	0	2	1	1	0	0
0	1	0	0	0	0	1	0	1	0	0	0	1	2	0	1	0	0	1	1	1	1	0	0	2	1	0	0	0	1	0	0	0	1	1	1	1	1	0	0	0	0	2	0	2	0	0	0	0	1	0	0	0	1	2	2	2	0	0	0	1	0	0	0	0	0	2	0	0	0	1	1	1	0	1	1	0	2	0	1	0	1	2	0	0	2	1	1	0	0	0	1	0	0	0	0	1	0	0	0	0
0	1	0	0	0	0	0	1	0	0	2	1	0	1	0	1	1	1	1	1	2	2	0	1	1	0	0	0	1	0	0	1	0	1	1	0	1	0	0	0	1	2	2	1	1	1	1	0	0	0	0	1	0	0	1	1	1	1	0	2	2	0	0	0	0	2	1	0	0	2	1	1	2	1	0	2	1	1	0	0	0	1	0	0	0	0	2	1	1	0	0	0	0	1	1	2	1	1	0	0	0
0	1	0	0	1	0	1	0	1	1	0	1	0	1	0	1	0	0	0	0	1	2	1	1	0	1	0	2	1	0	1	0	0	1	0	0	0	0	0	0	0	2	1	1	2	1	2	1	1	0	0	0	0	2	1	1	1	1	1	1	2	0	0	0	0	2	1	0	0	0	0	0	0	0	0	2	0	0	0	0	0	2	0	0	0	1	1	0	0	0	1	0	0	1	1	1	0	1	1	0	0
0	2	0	0	0	0	0	0	0	0	2	0	1	2	1	1	1	2	0	2	1	1	0	1	1	1	0	0	1	0	0	0	0	2	1	0	1	0	0	0	0	1	0	1	1	0	0	1	0	1	0	0	1	0	1	1	1	0	1	0	1	0	0	1	1	0	1	0	0	0	0	2	1	0	0	0	0	1	0	0	0	1	0	0	0	2	1	2	1	0	0	1	0	0	0	1	2	1	0	0	0
0	2	0	0	1	0	1	0	1	0	0	1	0	2	0	2	0	1	1	1	1	0	0	0	0	0	0	1	0	0	2	0	2	2	0	0	0	0	1	0	0	2	1	1	0	0	1	2	1	0	0	1	1	1	1	0	1	0	0	2	1	0	0	0	0	0	1	0	0	2	0	1	1	0	0	1	1	0	1	1	1	1	1	0	0	1	1	1	0	0	0	0	0	1	0	0	1	0	0	0	0
1	1	0	0	0	1	2	1	1	1	2	1	0	0	0	1	0	1	1	0	1	1	0	1	1	0	0	0	0	0	0	1	1	1	0	0	0	1	0	0	0	2	2	2	1	0	0	1	1	0	0	0	1	1	0	2	1	0	0	1	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	1	1	1	1	0	2	0	1	0	0	1	0	0	0	0	0	0	1	0	0	2	0	0	1	0
0	1	0	0	0	0	0	0	1	1	1	0	0	0	0	1	0	1	1	1	0	0	0	1	2	0	0	0	2	0	1	0	0	2	0	1	1	0	0	0	0	0	1	1	1	1	2	0	0	1	0	1	0	1	1	0	1	1	0	0	1	0	0	1	0	0	1	1	0	1	1	0	0	1	1	0	1	1	0	2	0	1	0	1	0	0	0	0	2	0	1	0	1	0	1	0	1	0	0	0	0
0	0	0	1	1	0	0	0	1	0	1	1	0	2	0	0	1	0	2	0	1	1	0	0	0	0	1	0	1	0	0	0	0	1	2	0	1	0	1	0	0	0	2	1	1	0	1	0	0	0	0	0	1	0	2	0	0	0	0	1	0	0	0	0	0	0	2	0	0	2	1	1	0	0	1	2	2	0	0	0	0	1	1	1	0	0	1	0	1	0	0	0	0	0	1	0	0	1	0	1	0
0	1	1	1	0	0	0	0	0	0	0	1	1	0	0	0	0	1	1	2	1	0	0	0	0	0	0	0	1	0	1	0	0	2	0	0	2	0	0	0	0	1	2	1	0	0	0	0	0	0	0	0	0	0	1	2	1	1	0	0	0	0	0	0	0	1	1	0	0	1	0	0	0	0	0	2	2	1	0	0	0	2	0	1	0	0	2	1	2	1	1	1	0	0	2	0	1	0	1	0	0
1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	1	0	0	2	0	0	0	0	0	0	0	0	1	1	1	0	1	1	0	2	0	1	0	2	1	1	1	2	0	0	1	1	1	0	0	1	1	2	0	0	0	0	0	1	0	0	0	1	1	2	0	0	0	1	2	0	0	0	0	1	0	0	1	0	2	0	0	0	1	0	0	0	0	1	0	0	1	2	0	2	1	0	0	0
0	1	0	0	0	0	0	0	0	1	0	1	1	1	0	2	0	0	1	2	0	1	0	0	1	0	0	0	1	1	0	0	0	0	2	0	1	1	1	0	1	2	2	0	1	0	0	0	1	2	0	0	1	0	1	1	1	0	0	1	1	0	0	1	0	1	1	0	0	0	0	1	0	0	1	0	1	1	0	0	0	0	2	1	0	1	1	1	1	0	1	0	1	1	0	0	0	0	0	0	0
1	0	0	0	1	0	0	0	1	1	2	2	0	0	0	2	0	2	2	0	2	0	0	1	1	1	0	0	0	0	0	0	0	1	2	0	0	1	0	0	1	1	0	1	2	0	0	1	0	1	1	0	0	2	1	0	2	1	1	0	1	0	0	0	0	0	1	0	0	0	0	1	1	0	0	1	0	1	1	1	0	1	1	2	0	1	1	1	1	1	0	0	0	0	0	0	1	0	1	1	0
0	2	0	1	1	0	1	1	0	2	0	1	1	0	0	0	0	0	0	0	1	1	0	1	1	2	0	0	0	1	0	0	0	0	0	0	2	1	1	0	2	0	0	0	1	0	0	1	0	1	0	0	0	0	2	1	2	0	0	0	0	0	0	1	1	0	2	0	0	0	0	1	0	0	2	1	0	0	0	1	0	0	0	1	1	1	1	1	1	0	0	0	0	0	1	1	2	0	0	0	0
1	1	0	1	0	0	0	0	1	1	1	1	0	1	0	1	1	0	1	0	1	1	0	2	1	1	1	0	0	1	1	1	0	0	2	1	1	1	1	0	1	0	1	0	1	0	0	0	0	1	1	0	0	0	2	2	1	0	0	0	1	0	0	0	1	2	1	0	0	0	1	1	1	0	0	0	0	1	0	1	0	1	0	2	0	0	1	2	0	0	1	0	0	1	0	0	2	1	0	0	0
0	0	0	0	0	1	0	0	0	1	1	1	1	1	0	2	0	1	1	0	1	1	0	0	1	2	0	0	1	2	2	1	0	0	2	0	1	1	1	0	1	1	1	2	1	0	0	0	0	0	2	0	2	0	1	2	2	0	0	0	1	0	0	0	1	1	2	0	0	1	0	0	1	0	1	0	1	1	0	2	1	1	2	0	0	1	1	0	0	0	0	0	0	1	2	1	2	0	0	0	0
0	1	0	1	0	1	0	1	0	1	1	0	2	0	1	2	1	1	0	1	0	0	0	0	0	0	1	1	1	1	1	0	0	1	1	0	1	1	0	0	0	1	2	2	0	0	1	0	0	0	1	0	0	0	1	0	1	1	1	0	0	0	0	0	1	2	1	0	0	0	0	1	1	0	0	1	1	0	0	1	0	1	0	1	0	0	1	0	1	1	0	0	0	0	1	1	2	1	0	0	0
0	1	1	1	0	0	0	0	2	0	2	1	1	0	1	2	0	2	1	0	1	1	0	0	0	1	0	0	0	0	0	1	0	2	1	0	1	1	0	0	0	0	1	1	1	1	0	1	0	2	1	1	1	1	2	1	1	0	0	0	0	0	0	0	1	1	2	0	0	1	0	1	1	0	0	0	0	1	1	0	1	1	0	0	0	1	1	0	1	0	0	2	0	0	0	0	2	1	0	0	0
0	0	0	1	0	0	0	0	0	0	1	1	0	0	0	1	0	2	1	0	2	2	0	0	0	2	0	0	0	0	0	1	0	1	0	0	1	0	0	0	0	1	1	2	1	0	0	0	1	0	1	0	0	0	0	0	2	0	1	1	0	0	0	0	0	0	1	1	0	0	0	1	1	1	1	0	0	1	1	0	0	2	0	0	0	1	0	1	1	0	0	1	0	0	1	0	1	2	1	0	0
0	1	0	0	0	1	0	1	2	0	1	1	0	0	0	2	0	1	1	1	1	2	0	0	1	0	0	1	2	0	0	1	1	0	1	0	2	1	0	0	0	1	1	1	0	0	0	0	0	0	1	2	0	2	0	1	1	0	0	1	0	0	0	0	1	0	2	0	0	0	0	2	1	0	0	1	2	2	1	0	0	0	0	2	0	1	0	1	0	0	1	0	0	1	0	0	2	0	0	0	0
1	1	0	1	0	0	1	1	1	0	0	2	1	1	1	1	1	2	0	0	2	2	0	1	2	0	1	0	0	0	2	0	0	1	1	0	2	1	0	0	0	1	1	1	0	0	0	1	0	0	1	0	0	0	1	1	0	0	0	0	0	1	0	0	0	1	0	0	0	1	0	1	0	0	1	0	0	0	0	1	0	1	0	1	0	2	2	1	1	0	0	0	0	0	0	0	2	0	0	0	0
0	0	0	2	1	0	0	0	0	1	1	1	1	1	1	1	0	0	0	2	2	0	0	0	0	1	0	0	1	1	1	0	0	0	0	0	0	1	0	0	0	2	1	2	2	1	2	2	1	1	0	0	0	2	1	0	1	0	0	1	2	0	0	2	1	0	1	0	0	0	1	1	1	1	0	1	0	1	1	0	0	0	0	0	0	0	2	1	0	0	1	1	0	0	1	0	0	0	0	0	0
0	1	0	0	0	0	0	1	1	0	1	1	1	0	0	1	0	1	0	1	1	1	0	0	0	0	0	0	1	1	1	1	1	0	1	2	1	2	1	0	1	1	0	1	1	1	0	0	0	0	0	0	2	0	1	2	2	1	0	0	2	0	0	1	0	1	0	0	0	0	0	0	1	0	1	0	1	0	0	0	0	1	0	2	0	1	1	2	0	0	2	0	0	0	0	0	1	1	0	0	0
0	0	0	0	1	1	1	0	2	1	1	1	0	0	1	2	0	1	1	1	0	0	0	1	0	0	2	1	0	0	1	1	2	0	0	0	1	2	0	0	1	0	2	0	1	0	0	0	0	1	1	0	2	1	0	1	0	0	0	0	2	0	0	1	0	0	1	0	0	0	0	0	0	1	0	0	1	2	0	0	1	2	0	1	1	0	1	1	1	0	0	0	0	0	1	0	1	1	0	1	0
0	1	0	0	0	0	0	0	0	0	1	1	1	0	1	2	0	1	1	1	1	2	0	1	1	1	0	1	0	0	0	1	0	0	2	0	1	0	0	0	0	1	0	1	1	0	0	0	0	1	2	0	1	0	1	1	1	0	0	0	2	0	0	0	0	2	1	0	0	0	0	0	0	0	1	0	0	2	2	0	0	1	2	0	0	1	1	1	2	0	0	1	0	1	0	0	1	1	0	0	0
0	2	0	1	0	0	0	0	0	0	1	1	0	0	0	1	0	0	1	1	1	1	0	1	1	1	0	0	0	0	1	1	0	1	1	0	1	1	1	0	0	1	1	0	1	0	0	1	1	1	1	0	1	1	2	1	1	0	0	2	0	0	0	1	1	1	1	0	0	0	0	0	1	1	1	1	1	1	0	0	0	1	0	0	0	2	0	0	1	0	0	0	0	1	1	1	2	0	1	0	0
0	1	0	0	1	0	0	1	1	0	2	1	1	1	1	1	1	1	1	1	1	0	0	0	1	1	1	0	0	1	2	0	0	0	1	0	2	0	0	0	0	1	1	0	1	0	0	0	0	1	0	1	1	0	1	1	1	0	0	0	0	0	1	1	0	1	1	0	0	2	1	1	1	0	0	0	1	1	0	1	1	1	1	0	0	0	0	0	1	1	0	0	0	1	1	1	0	0	0	0	0
0	0	0	0	0	1	0	0	2	1	1	0	2	1	1	0	0	1	0	0	1	1	0	0	0	1	0	0	0	0	0	0	1	0	1	0	0	1	0	0	0	1	1	1	0	0	1	1	0	1	0	1	2	0	1	2	1	0	0	1	0	0	0	1	0	1	2	0	1	0	0	0	0	0	0	0	2	1	0	1	1	2	0	1	0	2	0	0	1	0	0	1	0	1	0	0	2	0	0	1	0
0	1	0	0	0	0	2	0	0	1	1	1	2	1	1	2	0	1	1	0	0	0	0	1	0	0	1	1	0	0	0	1	1	1	0	1	2	1	0	0	1	2	1	1	2	0	0	0	0	1	0	2	0	1	2	1	1	0	0	0	2	0	0	0	0	1	0	0	0	1	1	0	0	0	0	2	1	1	0	0	0	2	0	0	0	0	2	1	1	1	0	0	0	1	1	0	2	1	0	0	0
0	1	0	1	0	1	0	0	0	1	1	0	1	0	0	2	0	2	0	1	1	2	0	1	1	1	1	0	1	1	0	1	0	0	2	1	1	0	0	0	1	0	1	1	1	0	0	1	0	1	0	1	2	1	1	1	1	1	0	0	1	0	0	0	0	1	1	0	0	0	1	2	0	0	0	0	2	0	1	0	0	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0	1	0	0	0	0
1	0	2	1	0	0	0	0	0	0	1	1	1	1	0	1	0	1	2	1	1	1	0	2	0	0	1	1	1	1	0	0	0	1	0	1	1	0	0	0	1	1	2	2	2	0	1	0	0	1	0	1	1	0	1	0	1	0	1	2	0	0	0	1	0	0	1	0	0	2	1	0	1	0	1	1	0	1	0	0	0	2	0	1	1	0	1	1	0	0	0	0	0	2	0	0	0	0	0	0	0
1	2	0	0	2	0	0	1	0	0	2	1	1	2	0	1	0	1	1	1	0	2	1	1	0	1	0	0	1	1	1	0	0	1	0	0	2	1	0	0	0	0	2	0	1	0	1	0	0	0	1	0	0	1	1	0	2	0	0	0	2	0	0	0	0	2	2	0	0	1	0	2	1	0	0	1	0	1	0	0	1	1	0	0	0	2	0	0	0	1	0	0	0	0	0	0	1	0	0	0	0
0	1	0	1	1	0	0	0	0	1	0	1	0	0	1	2	1	1	2	1	0	1	0	0	1	0	1	0	1	1	1	0	0	1	1	0	2	0	0	0	0	0	0	1	1	0	2	1	1	1	0	0	2	1	1	1	1	0	0	1	0	0	0	1	0	0	0	0	0	0	1	1	0	0	0	1	1	1	0	1	0	0	1	0	0	1	1	0	2	0	0	0	0	1	2	1	1	0	0	0	0
1	0	1	1	1	0	1	1	0	0	1	0	0	0	0	1	1	0	0	0	0	1	0	1	1	1	1	0	0	1	1	2	0	1	1	0	0	1	0	0	1	0	0	1	1	0	0	1	0	1	1	0	1	1	0	0	1	0	0	1	1	0	0	0	0	1	1	0	0	0	0	2	0	0	0	1	0	0	1	0	0	1	0	1	0	1	2	1	0	0	0	0	0	0	0	1	1	1	0	0	0
0	1	0	1	1	0	0	0	0	1	0	2	1	1	1	1	0	1	0	1	1	0	1	1	2	0	0	0	1	1	1	0	1	0	0	0	0	0	0	0	1	2	0	1	2	1	0	1	0	0	2	1	0	1	2	1	1	0	0	1	2	2	0	1	1	0	1	1	0	1	1	1	0	0	0	1	1	1	2	0	1	1	0	0	0	0	0	1	0	0	1	0	0	1	0	1	1	0	0	0	0
1	0	0	0	0	1	1	0	0	1	2	1	0	1	0	1	1	1	1	0	0	0	0	0	1	0	0	0	1	0	2	0	0	1	2	1	1	1	0	0	0	2	0	1	2	0	1	1	0	2	1	1	1	1	2	2	0	0	0	0	2	0	1	0	1	1	1	2	0	1	0	1	1	1	0	2	0	0	0	1	0	1	1	1	1	1	2	2	0	0	0	0	0	1	1	1	0	0	0	0	0
0	1	0	1	0	1	0	0	1	0	0	0	1	1	0	1	0	0	1	0	1	1	0	2	1	0	0	0	1	1	1	1	1	1	1	0	2	0	1	0	1	1	1	0	1	1	0	0	0	1	1	0	0	0	1	0	0	0	0	0	0	0	0	1	0	1	1	0	0	1	1	2	0	1	0	2	0	0	0	1	0	0	0	1	0	0	1	2	0	1	0	0	0	1	1	1	1	1	1	0	0
0	0	0	2	0	2	1	1	1	0	0	0	1	1	0	1	0	1	0	1	1	0	1	0	0	0	0	1	0	0	0	2	0	1	1	1	1	0	0	0	1	0	0	1	1	0	0	0	0	0	0	1	2	1	0	0	0	0	0	1	1	0	0	0	1	2	2	0	0	1	0	0	0	0	0	0	0	0	0	1	0	2	1	0	0	1	2	0	0	0	0	0	0	1	0	0	2	0	0	0	0
0	2	0	1	1	1	1	0	1	0	2	2	1	0	0	0	1	0	2	1	1	1	0	0	1	1	0	1	0	0	1	1	0	0	1	0	1	0	0	0	0	1	0	1	2	0	0	0	0	1	0	1	2	0	1	0	2	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	1	1	0	0	1	1	1	0	0	1	1	1	0	0	1	2	1	0	0	0	0	0	0	1	0	1	0	0	0
1	1	0	1	0	0	1	0	2	1	1	1	0	0	0	0	0	0	0	2	1	1	0	1	0	0	0	0	1	1	1	0	1	1	2	0	0	1	0	0	0	0	0	2	2	0	0	0	0	1	0	0	1	0	1	1	2	0	1	1	1	0	0	0	0	0	1	0	0	1	0	2	1	1	0	1	1	2	0	1	0	1	0	1	0	1	1	1	0	1	1	0	0	0	0	0	1	0	0	1	0
0	1	0	0	1	0	0	1	0	0	1	1	0	1	0	2	0	2	0	1	0	2	0	0	1	1	1	0	1	1	0	1	0	0	0	0	2	1	0	0	1	0	1	0	2	0	0	2	0	0	0	1	0	0	0	0	1	0	1	0	1	0	0	0	0	0	2	0	0	1	0	0	0	0	0	1	0	1	1	0	0	1	2	1	0	0	2	1	0	1	0	1	0	0	0	0	2	1	0	0	0
0	0	0	0	0	0	1	0	0	1	2	0	1	0	0	1	0	0	0	0	2	1	0	0	1	0	0	0	1	1	2	0	0	2	1	0	0	1	0	0	0	0	1	1	0	0	0	1	1	2	0	1	0	2	1	2	0	1	1	1	2	0	0	1	0	0	2	0	0	0	0	1	0	0	0	0	0	0	1	0	0	0	2	1	0	1	2	0	1	0	0	0	1	1	1	1	0	0	0	0	0
1	0	0	0	2	0	1	0	1	0	0	1	0	0	0	2	0	1	2	1	1	2	0	0	0	0	0	0	1	1	0	0	1	2	0	0	1	1	0	0	0	0	0	2	1	0	1	0	1	1	1	2	0	0	1	0	0	0	0	0	0	0	0	0	1	1	1	0	0	1	0	1	2	0	1	2	0	0	0	0	0	1	1	0	1	0	1	1	1	0	0	0	0	0	1	0	1	1	1	0	0
0	0	1	1	0	0	0	1	0	2	0	0	1	1	1	1	0	0	0	0	1	1	0	1	0	1	0	0	1	0	2	0	0	2	1	0	1	1	0	0	1	1	0	0	0	1	1	1	0	0	0	0	2	0	0	0	1	0	0	1	1	0	0	1	0	1	0	0	0	1	0	1	0	0	0	0	1	0	0	0	0	2	0	1	0	1	1	1	1	0	0	1	0	1	1	0	2	0	0	0	0
0	1	0	0	0	0	1	1	1	0	1	2	1	1	0	0	0	1	1	1	0	0	0	1	0	2	0	1	1	0	1	0	1	0	0	1	0	0	0	0	2	1	0	2	2	0	0	0	0	0	1	0	2	1	1	1	0	0	0	0	0	0	0	1	1	0	1	0	0	0	1	0	1	0	0	0	0	1	1	0	0	0	0	2	0	2	2	1	0	0	0	1	0	2	0	0	1	1	0	1	0
1	2	1	1	1	0	0	2	1	0	1	2	1	0	0	1	0	1	1	0	0	1	0	1	2	1	0	0	1	1	1	1	1	0	0	1	2	1	0	1	0	1	0	1	1	0	1	1	1	1	1	0	0	2	1	2	0	0	0	0	1	1	0	0	0	1	2	0	0	1	1	0	0	0	1	1	0	2	0	0	0	2	1	1	0	1	0	1	1	0	0	0	0	0	0	0	1	0	0	0	0
1	1	0	1	1	0	1	0	1	0	1	1	2	0	0	0	0	1	0	1	1	0	0	1	0	1	0	0	1	0	0	0	1	1	0	1	1	0	1	0	0	0	1	1	1	0	1	0	1	1	0	0	2	1	0	1	1	0	1	1	2	0	0	0	0	1	0	0	1	2	0	0	1	1	0	2	0	1	0	1	0	1	0	1	0	1	1	0	1	0	1	0	0	0	0	1	1	0	0	0	0
1	1	0	1	0	1	1	0	0	0	0	1	0	1	1	1	0	1	0	0	2	0	0	1	0	0	0	0	0	2	1	2	1	0	0	0	0	0	0	0	1	1	0	1	1	0	0	0	0	1	0	0	0	0	0	1	2	0	1	1	1	0	0	0	0	0	1	0	0	1	0	2	1	0	0	2	1	1	0	2	0	2	2	1	0	1	1	0	2	0	0	0	0	2	1	1	0	0	1	0	0
0	0	0	0	1	0	0	0	0	0	1	1	1	0	0	1	0	1	0	2	2	2	1	1	2	0	1	0	2	0	0	0	0	0	2	0	1	0	1	0	0	1	1	0	1	1	0	0	0	0	0	2	0	1	1	2	1	0	0	0	1	0	0	1	2	0	0	0	0	0	0	1	2	0	0	1	0	1	1	1	0	0	0	2	1	0	2	0	1	0	0	0	0	1	1	0	1	0	0	0	0
0	1	0	2	0	0	1	0	0	0	0	1	1	0	0	1	1	2	0	1	1	1	0	0	0	1	0	0	1	2	0	0	0	1	2	0	0	0	0	0	1	0	1	1	0	0	0	0	0	2	0	1	0	2	1	2	0	1	0	1	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	1	1	1	0	0	0	1	0	0	0	1	2	0	1	0	1	1	0	0	0	1	1	0	0	0	0
1	2	0	0	0	0	0	0	2	0	1	1	1	1	0	1	1	1	2	0	1	0	0	2	1	0	0	0	0	0	0	1	0	0	1	0	0	2	0	0	1	0	1	1	2	1	0	0	1	0	0	1	1	1	0	0	2	0	0	0	1	0	0	0	0	1	0	1	0	0	1	1	1	0	2	2	0	1	0	1	0	0	1	1	0	0	1	1	1	0	0	1	0	1	0	2	2	1	0	0	0
1	1	0	1	0	0	1	0	1	2	0	0	1	0	0	1	1	0	0	0	1	0	0	1	0	0	0	0	0	2	0	1	1	1	0	0	1	1	0	0	1	1	1	0	2	1	0	1	0	1	0	2	0	1	2	0	1	0	1	1	1	0	0	1	1	1	1	0	0	1	0	1	1	0	1	0	0	0	0	0	0	1	1	0	0	1	1	0	0	1	1	0	0	1	0	1	2	2	0	0	0
1	0	0	1	0	0	2	0	0	1	0	1	0	1	0	1	0	1	2	1	0	2	0	0	0	1	2	1	1	1	0	1	0	0	0	0	2	0	0	0	0	2	0	1	1	0	0	1	0	1	0	0	1	0	0	1	1	0	0	0	1	0	0	0	0	0	2	0	1	1	1	1	0	0	0	1	0	1	0	0	0	1	0	0	0	1	0	0	1	1	0	0	0	2	0	0	0	0	0	0	0
0	2	0	0	0	0	1	0	1	0	1	2	1	0	0	1	1	0	0	1	1	0	0	1	1	1	0	0	0	1	1	0	0	0	0	0	2	0	0	0	1	0	1	1	1	1	0	1	0	0	0	0	0	1	1	2	0	0	0	0	1	0	1	1	0	0	1	1	0	0	0	0	0	0	1	2	0	1	0	0	0	0	1	0	0	2	0	0	1	0	0	0	0	0	1	1	0	2	1	0	0
0	1	1	1	0	0	0	1	2	0	1	0	1	2	1	1	0	0	0	1	1	1	0	1	0	0	0	0	1	0	2	0	0	0	0	1	0	0	0	0	1	2	1	1	0	0	0	1	1	1	0	0	2	2	0	1	1	0	0	1	2	0	1	0	1	0	1	0	1	0	1	2	0	0	0	0	1	1	0	0	0	1	1	1	0	0	1	0	1	0	1	1	0	0	1	0	1	0	0	1	0
1	0	0	0	0	0	1	0	0	0	1	0	0	2	0	1	0	1	0	2	1	2	0	2	1	0	0	0	0	0	0	1	1	0	1	0	2	2	0	0	0	0	1	1	0	0	0	1	0	1	0	1	1	2	1	1	1	0	1	1	1	0	0	0	1	1	1	1	0	1	1	0	0	0	0	1	1	1	0	0	1	1	1	1	0	1	1	1	1	1	0	0	0	1	0	0	2	0	0	0	0
0	1	0	1	0	0	0	1	0	0	0	1	0	0	0	1	1	0	0	0	1	0	1	2	0	1	0	0	1	0	0	1	0	1	1	1	1	1	0	0	2	1	2	1	0	0	0	2	1	0	1	1	1	1	2	0	1	0	0	1	2	0	0	0	2	1	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	1	1	1	0	1	1	1	0	0	1	0	0	2	0	1	1	1	0	0	0
0	2	0	1	0	1	0	0	1	1	1	0	1	1	0	2	0	1	0	0	1	2	0	1	0	0	0	1	1	0	0	1	1	1	2	0	0	0	2	0	1	0	0	0	1	0	1	0	0	0	1	2	0	1	1	0	1	1	0	2	2	0	0	1	0	1	1	0	0	1	0	0	0	0	0	1	0	1	1	1	0	1	1	1	0	0	2	1	1	1	0	0	0	1	1	1	2	1	0	0	0
1	2	0	0	0	1	1	1	1	1	1	1	1	0	1	0	0	1	1	1	1	1	0	1	2	0	0	0	0	2	0	0	0	0	1	0	1	0	0	0	0	2	0	1	0	0	0	0	0	1	0	0	1	0	2	1	0	0	0	1	2	0	0	0	1	1	1	0	0	1	1	2	0	0	0	1	1	1	0	0	0	1	1	1	0	0	2	0	1	0	0	1	0	2	0	0	1	1	1	0	0
0	0	0	2	0	1	1	0	0	2	0	2	0	0	0	2	1	0	1	2	2	1	0	1	1	0	0	0	0	0	1	0	0	1	0	0	1	2	0	0	1	1	0	1	1	0	0	1	0	0	0	0	0	1	0	1	1	0	1	2	0	0	0	1	1	0	0	1	0	0	0	0	0	1	0	2	0	1	1	2	0	1	0	1	0	1	2	1	1	0	1	0	0	2	1	1	0	2	0	0	0
1	0	0	1	0	1	0	0	0	0	1	2	0	1	0	1	0	0	0	0	1	0	0	0	0	0	0	0	1	0	1	0	0	1	0	0	2	0	0	0	1	0	0	0	0	0	1	2	0	1	0	1	0	0	1	1	1	0	0	0	1	0	0	0	1	2	1	0	0	1	0	1	2	0	0	1	0	0	1	0	0	0	1	1	0	0	1	2	0	1	1	2	0	0	0	0	1	0	0	1	0
1	0	0	1	1	1	1	0	0	1	1	1	1	0	1	1	0	1	0	1	1	1	1	1	1	2	0	0	1	0	1	1	0	1	1	1	0	0	0	0	1	2	2	0	1	0	0	2	1	0	0	1	1	1	0	1	2	0	1	0	1	0	0	0	0	0	1	0	0	0	1	0	0	1	0	1	1	1	0	1	1	0	0	0	0	0	0	1	2	1	0	1	0	0	0	0	0	0	0	0	0
1	1	1	1	0	0	0	0	2	0	0	1	0	1	0	1	0	1	0	1	0	1	0	1	0	0	1	1	1	0	1	0	1	0	1	0	1	0	0	0	2	1	1	1	1	0	0	1	0	0	1	0	0	1	2	1	1	0	0	1	1	0	0	1	0	1	0	0	0	0	0	1	0	0	2	1	0	1	0	1	0	1	2	0	1	0	1	1	0	0	0	1	0	0	0	1	1	1	0	0	0
1	1	0	0	0	1	0	1	1	1	1	0	1	0	0	0	1	0	0	0	1	0	1	1	1	0	0	0	0	0	2	1	0	2	0	0	1	0	1	0	1	1	2	1	0	1	0	0	0	1	0	1	2	0	0	1	0	0	0	1	0	0	0	1	0	2	1	0	0	0	0	2	0	1	0	1	1	0	1	0	0	0	1	2	0	1	2	2	0	0	1	0	0	1	0	0	2	0	0	0	0
0	1	0	2	0	1	0	0	0	1	0	1	1	0	0	0	0	0	1	0	0	2	0	1	0	1	0	0	1	0	1	1	0	0	0	0	2	2	1	0	1	0	1	1	1	1	1	1	0	0	1	1	1	0	1	1	2	0	0	1	0	0	0	0	1	0	0	0	0	1	0	0	0	1	0	1	1	0	0	1	0	1	2	1	0	1	1	0	1	0	0	0	0	1	1	1	0	0	0	0	0
0	2	0	0	0	0	1	0	2	1	1	1	0	0	0	0	0	1	1	1	2	2	0	0	1	0	1	1	0	0	0	0	1	1	1	0	1	0	2	0	0	0	1	1	2	0	0	0	1	0	1	0	1	0	1	0	1	0	0	1	1	0	0	1	0	0	2	0	0	1	0	1	1	2	0	2	0	1	0	1	0	0	1	2	0	1	0	0	0	0	0	0	0	2	1	0	1	1	0	0	0
0	1	0	1	1	1	0	0	0	1	2	1	1	2	0	2	0	0	1	0	0	0	0	0	0	0	0	0	1	1	0	0	0	1	0	1	2	1	0	1	0	0	0	1	2	0	0	2	0	0	0	1	1	1	1	0	1	0	1	0	2	0	0	0	0	1	1	0	1	0	1	1	0	1	1	2	0	2	1	0	0	1	0	0	0	1	1	2	0	0	0	1	0	1	2	1	1	0	0	0	0
0	2	0	0	1	0	0	1	1	1	1	1	1	1	0	0	1	2	1	0	1	0	0	1	0	0	0	0	1	0	2	0	0	0	1	0	2	0	0	0	0	1	1	1	2	0	0	1	1	0	0	0	0	0	0	0	1	0	0	0	1	0	0	1	0	0	0	0	0	1	0	2	1	0	0	0	0	0	1	2	0	1	0	2	0	1	1	1	1	2	0	0	0	1	1	0	1	0	0	0	0
0	2	0	0	1	0	0	0	0	0	1	1	0	0	0	1	0	2	1	1	1	0	0	0	1	1	2	1	1	0	0	0	0	0	1	0	1	1	1	0	1	0	0	0	1	0	0	0	0	1	0	1	1	0	2	0	1	0	0	0	0	0	1	0	1	1	1	0	0	1	1	0	0	0	1	0	1	0	1	2	1	0	1	1	0	0	1	1	1	2	0	0	0	1	1	0	1	1	0	0	0
0	0	1	1	1	0	1	0	1	0	2	2	0	0	1	1	1	0	0	1	1	2	0	1	1	0	1	0	0	1	2	2	0	1	2	0	0	1	0	0	0	2	1	0	2	1	0	0	1	0	1	1	0	1	1	2	0	0	0	0	1	0	0	1	1	1	1	0	0	0	1	0	1	0	0	2	1	2	1	1	0	0	0	1	0	1	1	1	0	1	0	0	0	0	1	1	2	1	1	0	0
0	1	0	1	0	0	0	0	1	0	0	0	1	1	0	0	0	1	0	0	1	2	0	0	0	0	0	0	0	0	1	1	0	0	1	0	1	1	0	0	0	1	1	2	1	0	0	0	0	1	0	1	0	1	1	1	0	1	0	1	2	0	1	1	0	0	2	0	0	0	1	1	1	0	0	1	0	2	0	2	0	1	0	1	0	0	1	1	0	1	0	0	0	1	1	1	1	0	0	0	0
1	1	0	0	0	0	0	0	0	1	2	1	1	0	1	1	0	1	2	0	0	1	1	0	1	0	0	0	0	1	0	2	1	1	0	0	0	2	1	0	1	0	1	2	0	0	1	2	0	0	0	1	0	0	1	0	0	0	0	0	0	0	1	0	1	1	0	0	0	1	0	1	1	0	0	0	1	1	1	1	0	1	0	0	0	0	1	1	1	0	0	2	1	0	0	0	1	0	0	0	0
0	1	1	0	1	1	1	0	0	1	2	0	0	1	0	0	0	1	0	0	1	1	0	1	0	0	1	0	0	0	1	0	2	2	1	0	1	0	0	0	1	1	1	2	1	0	1	0	0	1	0	0	1	2	0	1	1	0	0	0	0	0	0	0	0	0	2	0	0	1	0	1	0	0	0	1	0	2	0	1	0	1	1	1	0	1	1	0	0	0	0	0	1	0	0	0	2	1	0	0	0
0	1	1	1	0	0	0	0	1	1	0	0	1	1	0	1	0	1	0	1	1	2	0	2	0	0	0	0	0	1	1	0	0	1	1	0	1	0	0	0	0	0	1	1	1	0	2	0	0	0	0	0	1	1	1	1	1	1	1	0	0	0	1	0	0	2	2	1	0	1	0	0	0	1	0	1	0	1	0	0	0	1	0	0	0	1	0	2	1	0	0	1	0	0	1	0	0	1	0	0	0
0	0	1	1	0	1	0	1	1	0	1	1	1	0	1	1	0	1	1	0	0	1	0	1	1	0	0	0	1	1	0	0	0	2	1	0	2	2	1	0	0	1	1	1	1	0	1	0	0	0	0	2	1	1	0	2	1	0	1	0	0	0	0	0	0	0	1	0	0	1	0	1	1	0	1	0	1	2	0	0	0	1	1	0	0	1	0	2	1	0	0	0	0	0	0	0	2	1	0	0	0
1	0	0	1	0	0	2	0	1	1	0	1	0	2	0	1	0	2	0	2	1	2	1	0	1	1	1	0	0	1	0	1	0	1	1	0	1	0	1	0	0	0	1	1	1	0	1	0	1	0	0	0	1	0	1	0	1	0	0	1	1	0	1	0	0	0	1	0	0	0	1	1	1	0	0	0	1	1	0	0	0	0	0	1	0	1	0	2	0	2	0	0	0	0	1	0	0	0	0	0	0
0	1	0	0	0	1	1	0	0	1	1	0	1	1	1	0	0	0	0	1	0	1	1	1	0	1	0	0	0	0	0	1	1	1	1	0	0	1	1	0	1	0	0	1	1	1	0	0	1	1	1	0	0	0	1	0	0	0	0	0	2	0	0	1	0	1	2	0	0	1	0	1	1	1	0	0	0	2	0	0	1	2	0	1	0	1	0	1	0	2	0	0	0	2	0	1	2	0	0	0	0
0	1	0	0	0	0	1	1	0	0	0	1	0	1	1	1	1	2	0	0	1	1	0	1	1	0	0	0	1	0	0	0	0	2	1	0	1	1	0	0	0	1	1	1	0	0	1	1	0	1	0	1	1	0	1	1	1	0	0	0	1	0	0	0	1	2	1	0	1	1	0	2	0	0	1	0	0	0	0	0	0	1	0	0	1	1	0	1	0	1	0	1	0	1	0	1	1	0	0	0	0
0	1	0	0	0	0	0	1	1	1	2	1	2	0	0	1	0	1	0	1	2	0	0	0	1	0	0	1	0	1	0	0	0	1	0	1	1	0	0	0	0	0	0	1	1	0	1	0	1	1	1	0	2	1	1	0	0	0	1	0	1	0	0	0	1	2	0	0	0	2	0	2	0	0	0	1	1	1	0	1	0	0	2	2	0	1	1	0	0	1	0	0	0	1	0	0	1	0	0	1	0
0	0	0	0	1	0	0	0	0	1	1	1	1	0	0	2	0	0	1	0	1	1	0	0	0	1	0	0	0	1	1	1	0	1	0	0	1	0	2	0	1	1	2	0	0	0	0	1	0	1	1	1	0	1	1	0	2	0	0	0	1	0	0	1	1	1	1	0	1	1	0	1	1	1	0	0	2	1	0	0	0	2	0	0	1	1	0	2	0	0	0	2	0	0	1	0	1	0	1	0	0
0	2	1	2	0	0	0	1	0	1	0	0	1	1	0	1	0	2	0	1	0	0	0	0	1	0	0	0	1	0	0	0	0	2	0	0	0	1	1	0	0	1	2	0	1	0	0	2	1	2	0	1	0	1	1	1	0	1	1	1	1	0	0	0	1	1	2	0	0	0	0	1	0	0	0	2	0	1	1	0	1	0	1	1	0	0	1	0	1	0	1	1	0	0	1	0	0	1	0	0	0
1	1	0	0	0	0	1	0	0	1	0	2	2	0	1	0	0	1	2	0	0	1	0	0	0	0	1	1	1	1	0	0	0	1	0	0	1	0	0	0	1	1	0	1	2	1	0	1	0	1	0	1	0	0	2	1	0	1	0	1	1	0	0	0	1	2	1	0	0	0	0	1	2	0	0	2	0	1	1	1	0	1	1	1	0	0	1	1	1	0	1	1	0	2	0	0	2	1	0	0	0
0	1	0	1	0	0	0	0	0	0	0	1	1	0	0	1	1	0	0	2	0	1	0	0	2	1	0	0	1	1	2	0	0	0	1	0	1	1	1	0	0	0	0	1	1	0	0	0	1	1	0	0	1	0	0	0	1	0	0	2	0	0	0	1	0	2	1	0	1	0	0	1	2	0	0	2	1	0	0	1	0	0	1	1	1	1	1	1	2	1	0	0	0	0	1	0	0	1	0	1	0
1	1	0	1	2	1	0	0	0	0	2	0	1	0	0	0	0	1	0	1	1	1	0	1	1	0	1	0	0	0	0	0	0	2	0	0	1	1	0	0	1	1	0	1	0	1	1	1	1	0	0	0	1	1	1	2	0	0	0	0	1	0	0	2	1	2	2	0	0	1	0	1	0	1	0	2	2	2	0	1	0	1	0	1	0	0	0	1	0	0	0	0	0	1	1	0	2	0	0	0	0
0	1	0	0	0	0	1	1	1	2	0	0	0	1	1	1	0	1	0	0	1	0	0	1	1	2	0	1	0	0	0	1	0	1	0	0	2	0	0	0	0	1	0	1	1	0	0	0	1	1	0	0	0	0	1	0	1	0	0	1	1	0	0	0	1	1	1	0	0	1	0	0	2	1	0	0	1	1	0	1	0	0	0	1	1	1	0	1	1	1	1	1	0	1	1	0	0	0	0	0	0
0	2	0	1	0	0	0	0	1	0	1	1	1	1	0	1	1	1	0	0	1	0	0	1	1	2	0	0	0	1	1	0	1	1	2	0	2	1	0	0	1	1	1	2	1	0	0	1	1	1	1	1	0	1	2	0	1	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	1	0	1	1	0	1	1	0	0	1	1	0	1	1	1	0	0	0	0	0	0	1	0	1	1	0	0	0
0	2	0	0	0	0	1	0	2	1	1	1	1	1	0	0	0	0	2	0	1	2	1	0	0	0	0	0	0	1	0	0	1	0	0	1	1	1	1	0	2	1	0	1	2	0	0	1	0	1	0	1	2	1	1	2	1	0	1	0	1	0	0	1	0	0	1	0	0	0	0	0	0	1	0	0	1	2	0	0	0	0	0	1	0	0	1	0	0	0	0	2	0	0	1	0	1	1	0	0	0
0	0	1	0	0	0	1	0	1	0	1	1	2	0	0	1	0	0	0	2	1	0	0	0	1	0	0	0	0	1	0	2	0	0	1	1	1	0	0	1	2	1	1	0	2	0	0	1	0	2	1	0	1	0	0	0	2	0	0	2	1	0	1	0	0	2	1	1	0	1	0	1	0	1	0	0	1	1	1	0	0	1	1	0	0	1	0	1	1	0	0	0	0	2	1	2	0	1	0	0	0
0	1	0	0	0	0	0	0	0	1	1	2	2	0	2	0	1	1	0	0	0	2	0	0	1	0	0	1	1	0	0	1	0	2	0	0	1	1	0	0	1	2	1	1	0	1	0	2	0	1	0	1	1	1	1	1	1	0	0	1	0	0	0	0	1	0	1	0	0	0	1	2	0	2	0	1	2	1	0	0	0	2	1	1	0	1	2	1	1	0	1	1	0	0	0	0	2	0	0	0	0
0	0	0	0	0	0	1	0	2	0	0	2	0	0	1	2	0	0	0	1	1	1	0	1	0	0	0	1	0	2	1	0	0	0	2	0	0	1	1	0	2	1	0	1	2	1	1	0	0	1	0	1	1	0	1	1	1	1	1	0	0	0	0	0	0	1	0	0	0	1	0	1	0	0	0	0	1	0	0	0	0	1	2	1	0	1	2	1	0	0	0	1	0	2	1	0	2	0	0	0	0
1	1	0	0	0	0	1	1	1	1	1	2	1	0	1	1	0	1	1	1	2	1	0	0	0	2	0	1	0	2	0	0	0	0	0	0	0	0	0	0	0	2	2	1	2	1	0	1	0	0	1	1	2	0	1	1	1	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	1	0	0	1	1	2	0	0	0	0	0	2	0	1	0	1	1	1	0	1	0	0	1	0	0	2	0	0	0
0	1	0	0	2	0	0	0	1	0	1	1	0	0	0	0	0	2	0	0	1	0	0	1	0	0	0	0	0	1	0	0	1	2	2	0	1	1	0	0	1	1	1	2	2	1	0	2	0	1	0	0	1	1	1	0	1	0	1	1	0	0	0	0	1	1	2	0	0	0	0	0	1	0	1	0	0	1	0	0	0	1	0	0	1	2	1	0	1	0	0	1	0	1	1	1	1	0	0	0	0
0	2	0	1	0	0	0	0	0	1	0	1	1	1	0	1	0	0	0	2	1	1	0	2	0	2	1	0	0	1	1	1	1	1	0	0	1	2	0	0	1	1	0	0	1	0	0	1	0	1	0	1	1	1	1	1	1	0	0	1	2	0	0	1	0	0	2	0	0	0	1	2	2	0	0	1	1	1	0	1	0	1	0	0	0	0	1	1	1	0	0	1	0	1	1	1	0	1	0	1	0
0	2	0	1	1	1	0	1	1	0	2	2	1	0	0	0	0	0	0	0	1	2	0	1	1	0	0	0	1	0	1	0	2	1	1	0	1	1	0	0	0	1	2	2	2	0	0	0	0	2	1	0	2	0	0	1	1	0	0	1	1	1	0	0	0	2	0	0	0	1	0	1	1	0	0	1	1	2	0	1	0	1	0	0	0	2	1	0	1	0	0	1	0	1	0	0	1	0	0	1	0
0	2	0	1	0	1	0	1	0	0	2	2	0	1	0	0	0	0	0	2	0	0	0	1	1	0	0	0	0	0	0	1	1	1	1	0	1	0	0	0	0	0	0	1	1	0	0	1	0	1	1	1	0	1	1	2	1	0	0	1	1	0	0	2	1	0	1	0	0	2	1	0	1	0	0	0	2	1	0	0	0	1	1	2	0	0	0	1	1	0	0	0	0	0	0	1	0	0	0	0	0
0	0	0	0	1	1	0	0	0	1	0	2	2	0	0	1	0	1	2	0	1	1	0	2	1	1	1	1	0	0	1	2	1	1	2	0	1	0	0	0	1	0	0	0	1	0	0	0	1	1	0	1	1	0	2	2	0	1	0	2	1	1	0	0	0	1	1	0	0	1	0	1	1	1	1	0	0	0	1	1	0	2	1	0	0	1	1	1	0	1	0	0	0	1	0	0	0	1	0	0	0
0	1	0	0	0	1	1	1	0	1	0	1	1	0	1	0	0	0	0	2	1	1	0	0	1	1	0	1	0	0	1	1	1	1	1	0	2	1	0	0	1	1	1	0	1	0	0	1	0	0	0	0	1	1	2	2	0	0	0	0	0	0	0	0	1	1	1	0	0	0	1	1	1	1	0	1	1	2	0	1	0	0	0	1	0	2	1	1	0	1	0	1	0	1	1	0	2	1	0	0	0
0	1	0	1	0	0	0	1	1	0	0	0	0	1	1	1	1	2	0	0	1	1	0	0	0	1	1	0	0	0	1	0	1	2	0	0	0	0	1	1	0	0	1	1	0	0	1	1	2	1	0	0	0	1	1	0	1	0	0	0	2	0	0	0	1	1	0	0	0	0	1	0	1	0	0	0	0	2	0	0	0	1	1	1	0	1	2	0	0	0	0	1	0	0	0	0	1	0	0	0	0
0	0	0	0	0	0	1	0	0	1	1	0	2	1	0	2	0	1	0	2	1	1	0	0	1	0	1	0	1	0	1	0	0	0	1	0	1	0	0	0	0	1	0	2	1	0	0	1	1	1	0	1	1	0	0	1	2	0	1	1	1	0	0	0	0	0	0	0	0	1	0	0	0	0	0	1	1	0	0	0	1	1	0	1	0	0	0	1	1	1	0	0	0	1	1	0	0	0	0	0	0
2	1	0	1	0	1	1	2	0	1	0	0	1	0	0	1	1	1	1	1	1	1	0	0	1	0	0	1	1	0	0	1	0	0	2	0	0	0	0	0	0	2	0	0	2	0	0	1	0	1	0	2	0	0	1	1	1	0	0	1	1	1	0	0	0	0	0	0	1	0	1	1	1	0	1	1	0	2	0	0	1	1	1	0	0	1	0	0	1	1	0	0	0	0	0	1	0	0	0	0	0
0	0	0	1	0	0	1	1	2	1	2	2	1	0	1	1	0	1	2	0	2	0	0	0	2	0	0	0	0	1	0	0	0	0	2	0	1	0	1	0	0	0	0	1	1	1	0	0	1	1	0	1	0	0	2	0	0	0	1	1	0	0	0	0	0	1	1	0	0	0	1	0	1	0	2	2	1	0	1	0	0	2	1	2	0	1	2	2	0	0	0	0	1	1	1	0	1	0	0	0	0
1	1	0	1	1	0	0	1	0	0	1	0	1	0	0	2	1	0	0	1	0	2	0	0	1	0	0	1	0	0	0	1	0	0	1	1	1	0	0	1	2	1	2	1	2	0	1	1	1	1	1	1	1	1	1	1	2	0	0	0	1	0	0	0	0	1	2	0	0	1	0	0	0	1	0	1	1	1	0	1	2	0	0	1	0	2	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0
0	1	0	0	0	0	1	1	2	0	0	0	0	1	0	2	1	1	1	2	1	1	0	0	1	1	0	0	0	0	0	1	1	2	1	0	2	1	0	0	1	2	1	2	1	0	0	0	0	0	2	1	0	1	1	1	2	0	0	0	1	0	0	0	2	0	1	0	0	0	1	1	1	0	0	0	1	1	1	0	0	0	0	2	0	2	0	1	1	1	0	0	0	1	1	0	1	0	0	0	0
1	0	0	1	2	0	0	0	0	0	0	0	2	0	2	1	0	0	0	1	1	1	1	1	0	0	0	0	0	0	2	1	1	2	1	1	0	1	0	1	2	2	1	1	0	0	1	1	1	0	1	0	2	2	0	1	1	0	0	0	1	0	0	0	0	0	2	1	0	1	0	0	0	0	0	1	0	1	0	0	0	0	1	1	0	0	0	1	1	0	0	1	0	1	1	1	1	2	0	0	0
0	2	1	0	0	1	0	1	1	0	0	1	1	0	0	1	0	1	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	1	0	1	1	1	0	0	0	1	1	1	1	0	0	0	1	1	0	0	1	2	2	0	1	0	2	1	0	1	0	0	1	0	0	0	0	0	2	1	0	0	2	1	0	0	0	0	1	0	0	0	1	2	1	1	1	1	1	0	1	0	1	0	0	0	0	0
0	1	0	1	1	0	0	0	0	0	0	1	0	0	0	1	0	0	1	2	2	1	0	0	2	0	0	0	1	2	0	1	1	1	1	0	0	1	0	0	1	1	0	0	1	0	0	0	0	1	1	0	0	0	1	2	0	0	1	0	2	0	0	0	0	1	1	1	0	0	0	1	0	0	0	0	1	1	1	0	0	1	0	0	0	1	1	0	0	0	0	2	0	1	2	0	2	2	0	0	0
0	0	0	2	0	0	0	1	1	0	2	0	1	1	0	2	0	1	0	1	0	0	0	0	0	0	0	0	1	0	1	0	0	0	1	1	2	1	1	0	1	1	1	1	1	0	0	1	1	0	0	0	1	1	2	1	1	0	0	1	2	0	0	0	0	1	0	0	0	0	0	1	1	0	1	1	1	1	0	1	0	2	0	1	0	0	1	1	0	0	0	1	0	0	0	0	2	0	0	0	0
0	1	0	0	0	0	0	0	1	1	0	2	0	1	0	1	1	1	1	1	1	0	0	0	1	0	0	0	0	1	1	0	1	1	0	1	1	0	0	0	0	0	2	1	1	0	1	1	0	0	0	2	1	1	1	1	0	0	0	1	1	0	0	0	0	2	1	0	0	1	0	0	0	0	0	1	0	1	0	0	0	2	1	1	0	2	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0
1	0	1	0	0	0	0	1	1	1	0	2	1	0	0	0	0	2	0	2	1	0	0	1	1	0	1	0	1	0	1	1	1	1	2	0	1	2	0	0	0	0	1	0	0	0	2	0	0	2	1	0	0	0	0	1	1	0	0	1	0	0	1	0	0	2	2	0	0	0	0	1	1	0	0	1	1	1	1	0	0	1	0	0	0	0	0	1	0	1	0	0	0	1	0	0	0	0	0	0	0
0	0	0	1	0	0	0	1	0	1	1	2	0	1	0	1	0	1	2	0	1	1	0	0	0	0	1	0	0	1	2	1	0	1	2	0	0	1	0	0	1	1	0	2	2	0	1	0	0	0	0	1	0	0	0	2	0	0	1	1	0	0	1	1	1	0	0	0	0	0	0	0	0	1	0	1	2	2	0	0	0	0	0	0	0	0	2	0	2	0	1	0	0	1	1	0	1	1	0	0	0
0	1	0	1	0	0	0	1	0	1	1	1	0	0	1	0	1	0	1	2	0	0	1	0	1	0	1	0	1	0	0	1	0	1	1	0	2	0	0	0	2	1	0	1	0	0	0	1	0	2	0	2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	1	0	1	0	2	0	1	0	1	0	2	0	1	1	0	1	0	1	1	0	0	0	1	0	0	0	1	0	0	0
0	2	0	0	1	0	0	0	0	0	0	2	0	1	0	2	1	1	0	2	1	1	1	0	0	0	0	0	1	0	0	0	1	2	0	0	1	0	0	0	1	1	1	0	0	0	1	1	0	0	0	0	0	1	1	2	0	0	0	1	1	0	0	0	1	1	1	0	0	0	0	2	2	0	0	2	1	1	0	1	0	0	2	0	0	1	0	0	0	0	0	1	0	0	0	0	0	2	1	0	0
0	1	0	0	0	1	0	1	0	1	1	1	0	1	0	1	0	0	0	1	1	1	0	0	0	1	0	2	1	0	1	0	1	2	1	0	1	1	1	0	0	1	1	2	2	0	0	0	0	1	0	0	0	0	1	0	1	0	1	1	2	0	0	1	0	2	1	0	1	1	1	2	0	1	1	1	0	1	0	1	0	0	0	1	0	0	1	1	1	1	0	0	0	0	1	0	2	0	0	0	0
1	1	0	1	0	1	1	0	1	0	0	1	1	2	1	1	1	0	1	0	0	0	0	2	0	2	0	0	1	0	1	0	0	2	0	0	1	1	1	0	1	1	2	0	0	1	0	0	0	1	0	1	2	0	1	0	1	0	1	1	1	0	0	0	0	1	2	0	0	1	0	1	1	0	0	0	1	1	0	0	0	2	0	1	0	1	2	0	1	0	0	0	0	2	0	0	1	0	0	0	0
1	0	0	1	0	0	0	1	0	0	2	1	2	1	0	2	1	0	0	1	2	1	0	1	0	0	2	0	2	1	0	0	0	2	1	0	1	0	0	0	0	0	0	2	2	0	0	1	0	0	0	0	1	1	2	0	0	1	0	0	0	0	0	0	0	2	1	0	0	0	0	0	2	0	1	0	0	1	0	0	1	1	0	2	0	0	0	1	1	0	0	0	0	1	2	0	0	1	0	0	0
0	1	0	1	0	0	0	0	0	2	0	2	2	0	0	1	0	0	2	0	0	1	0	0	1	1	0	1	1	1	0	0	0	1	1	0	0	1	0	0	0	1	2	1	0	0	0	0	0	1	0	0	1	1	1	0	1	0	1	0	1	0	0	0	1	1	0	0	0	0	1	1	0	0	0	2	0	1	1	2	0	0	0	0	0	1	1	0	2	0	0	0	0	1	1	1	1	1	0	0	0
0	2	0	1	1	0	0	0	0	0	0	1	1	2	1	2	0	1	1	1	0	1	0	0	0	0	0	1	0	0	0	1	1	1	2	0	2	0	0	0	1	1	2	1	0	0	0	1	1	1	0	0	0	1	1	1	0	0	0	1	1	0	0	0	0	2	2	0	0	0	0	1	0	1	1	0	1	1	0	1	0	0	1	1	1	2	0	1	1	1	1	1	0	1	1	0	0	1	0	0	0
1	1	0	1	1	1	1	0	0	1	0	1	1	0	0	2	1	0	1	1	1	0	0	2	0	1	0	0	1	1	1	0	0	1	0	1	1	1	0	0	0	1	1	2	0	0	0	0	1	2	1	0	0	0	1	1	2	0	0	1	2	0	0	0	0	2	1	0	0	1	1	1	0	0	0	1	0	2	0	0	0	0	0	2	1	1	1	0	0	1	0	1	0	0	2	0	0	0	0	0	0
0	0	0	1	1	0	0	0	0	0	1	1	1	0	0	1	1	1	0	1	2	1	0	0	1	0	0	1	0	1	1	0	0	1	0	0	1	1	0	0	1	0	1	0	0	0	0	1	1	1	0	1	1	1	2	0	1	1	2	0	0	0	0	2	1	0	0	1	0	0	1	1	1	1	0	1	1	2	1	0	0	1	1	0	0	1	1	2	0	0	0	1	0	1	0	0	2	0	0	0	0
1	1	0	1	1	0	0	0	1	0	2	0	2	0	1	0	0	0	0	1	2	0	0	0	0	0	0	0	1	0	1	0	0	0	1	0	1	0	0	0	2	2	2	1	0	0	0	1	0	1	0	1	0	1	2	0	1	0	0	0	1	0	0	2	0	1	0	0	0	0	0	0	1	0	1	1	0	0	1	0	0	0	1	0	0	0	2	1	0	0	0	0	0	0	0	0	1	1	1	0	0
0	1	0	2	1	1	0	0	1	0	0	0	1	1	0	1	0	0	1	1	0	1	0	1	0	1	1	0	1	0	0	1	0	0	1	0	0	1	1	0	1	0	0	1	1	0	0	1	0	0	0	1	1	0	2	1	1	0	0	1	0	0	0	1	0	0	1	1	0	0	1	0	1	1	0	1	1	0	2	2	0	1	0	2	0	0	1	0	1	0	0	0	0	1	2	1	0	0	0	0	0
1	2	0	0	0	0	1	1	0	0	1	1	1	1	0	1	1	0	0	1	0	1	1	1	1	0	1	0	1	0	1	0	1	0	2	0	1	0	1	0	1	1	0	1	2	0	1	1	0	0	1	0	0	0	0	1	0	0	0	0	0	0	0	0	2	2	1	1	0	1	0	0	0	1	0	1	1	0	1	0	0	1	1	0	0	2	2	0	0	0	0	0	0	0	0	0	2	0	1	0	0
0	1	0	0	0	0	0	0	0	1	0	2	0	1	1	1	1	0	0	1	1	1	1	2	1	0	1	0	0	1	1	0	0	1	0	0	1	1	0	0	1	1	1	0	1	0	0	1	0	1	0	1	1	1	0	1	1	0	0	2	0	0	0	0	2	0	2	0	0	0	0	0	1	0	0	0	1	1	1	1	1	1	0	0	0	1	1	0	1	1	1	1	0	1	0	0	2	1	0	0	0
1	0	0	0	0	0	0	1	1	0	0	1	1	0	0	1	1	1	1	0	0	0	0	1	1	0	0	0	1	0	0	1	0	1	1	0	1	0	1	0	0	1	1	2	0	0	1	1	0	1	1	0	1	0	1	1	0	0	0	0	1	0	1	0	0	0	2	0	0	1	0	2	0	0	0	2	1	1	0	0	0	1	0	0	0	1	2	1	2	0	0	0	0	0	0	0	2	0	0	0	0
1	0	0	1	1	0	0	0	1	0	2	1	0	0	0	2	0	1	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	1	1	0	1	1	0	0	0	0	0	2	0	0	0	1	0	1	0	0	1	0	0	1	1	0	0	0	1	0	1	0	0	1	1	0	0	0	0	0	1	0	0	1	0	1	0	0	0	1	0	1	0	0	1	1	1	0	0	1	0	1	0	2	0	1	0	0	0
1	0	0	0	1	0	1	0	1	1	1	0	2	0	0	0	0	1	0	0	0	0	0	0	1	0	1	0	0	0	0	1	2	1	2	0	1	0	0	0	0	1	0	1	2	0	0	0	0	1	0	0	0	0	0	2	1	0	0	2	2	0	1	1	0	0	0	0	0	1	0	1	0	0	0	1	1	0	1	0	1	0	0	1	0	2	0	1	0	1	0	0	0	0	0	1	2	0	0	0	0
0	0	1	1	0	0	0	1	1	0	0	1	0	0	1	1	0	0	0	1	0	1	0	0	1	0	1	0	1	0	0	1	0	0	0	1	1	1	0	1	0	1	1	2	1	1	1	0	0	0	0	1	0	1	0	0	1	0	1	1	1	0	1	1	1	1	0	0	0	1	1	1	1	1	1	1	1	1	0	0	0	0	0	2	0	1	0	0	0	1	0	0	0	1	0	1	1	1	1	0	0
0	2	0	0	1	0	0	1	1	1	0	1	0	0	0	0	0	1	1	1	2	0	0	1	1	0	0	0	1	1	1	0	0	1	0	1	1	1	1	0	0	0	1	0	2	1	0	1	0	1	0	0	2	0	1	1	2	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	1	1	0	2	2	1	1	0	0	0	1	1	1	1	1	0	0	0	1	1	0	0	0	0	0	0	0
0	0	0	1	0	1	0	1	0	0	1	1	0	0	0	0	1	1	0	1	1	2	0	0	1	1	0	1	1	0	0	0	0	1	2	1	2	0	1	0	1	0	0	2	1	0	0	1	0	0	0	1	2	1	2	0	1	0	0	1	0	1	0	1	2	0	1	0	0	1	1	0	0	0	1	1	1	1	0	1	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	1	0	0	0	0
0	2	0	0	1	0	1	0	0	0	0	1	0	0	0	1	1	0	1	1	0	2	0	1	1	0	1	0	1	0	1	0	0	0	0	1	0	0	0	0	0	2	1	1	1	0	0	2	0	1	0	0	2	1	1	0	1	0	1	1	1	0	0	1	0	2	1	0	0	0	0	2	1	0	1	0	0	2	0	0	0	0	0	0	1	1	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0
0	0	0	0	0	0	1	1	0	0	1	0	0	1	0	0	0	1	0	1	0	1	0	0	0	0	0	1	1	0	0	1	0	1	2	0	0	1	0	0	0	1	1	1	0	0	1	2	0	0	0	0	0	1	1	0	1	0	1	0	0	0	0	1	1	1	0	0	0	1	2	0	1	0	0	1	0	0	0	1	0	1	0	0	0	1	0	1	1	1	1	0	0	1	0	1	0	0	0	0	0
1	0	0	1	1	0	1	0	2	0	1	2	0	0	0	1	1	2	1	1	0	1	1	0	2	0	1	0	0	0	0	1	0	1	1	1	2	0	0	0	0	1	0	2	2	0	0	1	0	2	0	1	1	1	2	0	2	0	1	2	0	0	2	0	0	1	1	0	0	1	2	1	2	0	0	2	0	2	0	2	1	1	0	1	1	1	2	0	1	0	0	1	0	1	1	0	1	0	0	0	0
0	1	0	0	0	0	0	0	1	1	0	0	0	0	1	1	0	1	1	1	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	1	1	0	1	1	0	0	0	1	0	0	0	0	2	0	1	1	1	0	1	0	0	1	0	0	0	1	0	2	1	1	0	0	0	1	2	1	0	0	1	2	0	0	0	1	0	1	0	0	1	0	2	0	0	0	0	2	2	0	1	1	0	0	0
0	1	0	2	0	0	0	1	0	2	1	1	0	0	0	1	0	1	2	2	1	1	0	0	1	1	0	0	1	0	0	0	0	1	1	1	2	1	0	0	1	2	1	2	0	0	1	1	0	0	0	0	2	2	1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	1	0	0	0	1	1	1	0	1	0	1	0	0	0	0	1	1	0	0	0	0	0	0	1	0	1	2	0	0	0
0	2	0	1	0	0	0	1	1	2	1	1	1	0	0	2	1	1	0	1	0	1	0	1	0	0	1	1	1	0	0	0	0	0	0	0	1	0	0	0	0	1	0	1	1	0	0	1	0	1	1	0	1	1	0	1	1	0	0	0	1	0	0	0	1	1	1	0	1	0	0	1	1	1	0	2	0	1	1	1	0	1	0	1	0	1	1	2	1	0	0	1	0	0	0	0	1	1	1	1	0
0	0	0	2	0	1	0	0	0	0	1	0	1	1	0	2	0	0	0	1	1	1	0	1	0	0	0	1	0	0	0	1	0	1	1	0	2	1	1	0	1	2	0	1	2	1	0	0	0	1	0	0	2	1	1	0	1	0	0	1	1	0	0	0	0	2	0	1	0	0	0	1	1	0	0	0	0	1	0	0	0	1	1	0	0	1	0	1	1	0	0	1	0	0	1	1	0	0	0	1	0
1	0	0	0	1	0	1	1	0	0	1	2	0	0	0	0	1	0	0	2	1	1	0	1	0	1	0	0	1	1	0	1	2	1	1	0	1	0	0	0	0	0	0	1	0	0	1	0	0	2	0	0	1	1	0	1	2	0	0	0	2	0	0	0	0	1	1	0	0	0	0	0	1	0	0	0	1	1	0	1	0	1	1	1	0	0	0	0	1	0	0	0	0	0	1	0	0	2	0	0	0
0	1	0	0	0	1	1	1	1	0	0	1	2	0	0	1	0	1	1	2	0	1	1	1	0	0	0	1	1	1	0	1	1	2	1	1	2	0	0	0	0	1	0	1	1	1	0	1	0	1	0	1	1	1	1	1	2	0	0	0	1	0	0	1	2	0	0	0	0	0	0	2	1	0	0	1	0	1	0	1	0	1	1	0	0	1	0	0	0	1	1	0	0	2	1	1	0	1	0	0	0
0	2	0	1	0	0	0	0	0	2	0	1	1	2	1	0	0	1	0	1	0	1	0	2	1	0	0	0	0	1	0	1	1	2	0	1	0	0	0	0	0	1	2	1	2	0	0	1	1	2	0	1	2	1	0	0	2	0	0	2	2	0	0	0	0	2	1	0	1	0	0	1	0	1	1	1	0	1	0	0	0	1	1	1	2	0	1	2	0	1	0	0	0	1	0	0	1	1	0	0	0
1	1	0	0	0	0	0	1	0	0	1	0	0	0	1	2	1	1	0	1	2	1	0	0	0	0	1	0	1	0	0	1	0	2	0	0	2	0	0	0	0	0	1	1	0	0	0	0	0	2	0	1	0	1	1	0	1	0	0	1	0	0	0	0	0	2	1	0	0	2	0	1	1	0	0	1	1	1	1	1	1	2	1	0	0	1	0	1	1	0	1	1	0	0	0	0	2	0	0	1	0
0	0	1	1	0	1	1	1	0	1	0	0	2	0	0	0	1	1	1	1	1	1	0	1	1	1	1	1	1	0	2	1	0	1	0	0	0	1	1	0	1	1	0	0	0	0	1	0	0	0	0	0	2	0	0	0	0	0	0	1	1	0	0	1	0	0	1	0	0	0	1	1	0	0	0	0	1	1	0	0	0	1	0	0	0	0	2	1	1	0	0	0	0	2	0	0	1	0	0	0	0
1	0	0	1	0	0	1	0	0	0	1	2	0	1	0	2	0	1	0	1	0	2	0	0	0	1	0	0	1	1	0	2	1	0	1	0	2	0	0	0	0	1	0	1	1	0	0	0	0	1	0	2	2	1	1	0	2	0	0	0	1	0	0	0	0	1	1	0	0	1	0	0	2	1	1	1	1	1	1	2	0	1	1	0	0	0	0	0	2	0	1	1	0	0	0	1	0	0	0	0	0
0	1	0	1	1	0	0	0	1	1	1	1	0	0	0	1	1	1	0	1	1	1	1	1	1	1	0	0	1	2	2	0	0	0	1	0	0	0	0	0	2	1	2	2	0	1	0	1	0	2	0	1	0	1	1	1	2	0	1	0	0	0	0	0	1	2	2	0	0	0	0	1	0	1	0	2	0	2	0	0	0	1	1	1	0	1	1	2	1	0	1	1	0	1	0	1	1	1	0	0	0
0	0	0	1	0	0	1	0	1	0	1	2	0	0	0	1	1	0	0	1	0	0	0	1	1	0	1	0	0	0	0	0	1	1	0	0	0	0	0	0	0	1	0	1	1	0	0	0	1	1	2	0	2	0	0	1	2	0	0	1	2	0	0	0	0	1	0	0	0	0	0	0	1	0	0	2	0	1	2	1	0	0	1	2	0	0	2	1	1	1	1	1	0	0	0	2	2	0	0	0	0
0	2	0	0	0	0	1	1	1	0	1	1	1	2	0	1	0	1	2	1	0	1	0	0	0	1	0	0	1	1	0	0	0	1	1	0	1	1	0	0	0	1	1	0	1	0	1	2	1	0	1	1	1	0	1	0	2	1	0	0	1	0	0	0	0	0	1	0	0	1	0	1	0	1	0	1	0	0	1	0	1	1	1	1	0	2	0	1	0	2	0	0	0	0	0	1	2	1	0	0	0
0	0	0	0	0	0	1	0	0	2	0	2	0	0	0	0	0	1	1	1	1	0	0	0	1	1	0	0	0	0	1	2	0	1	1	0	2	0	0	0	0	1	0	2	2	1	1	0	0	2	0	1	2	0	2	1	0	0	0	0	2	0	0	1	0	2	2	0	0	0	0	1	1	0	0	0	0	0	1	0	1	1	0	0	1	1	2	1	2	0	1	0	0	1	0	0	0	1	0	1	0
0	1	1	0	1	0	1	0	0	0	0	2	0	0	2	0	0	0	0	0	1	2	0	0	1	0	0	0	0	0	0	0	0	1	1	0	2	2	1	0	0	1	1	0	1	0	1	1	0	1	0	0	1	0	1	1	0	0	0	0	0	0	0	0	0	2	1	0	0	2	2	0	1	0	0	1	2	1	0	1	0	2	0	1	0	1	1	2	1	1	1	1	0	0	0	2	0	0	0	0	0
0	1	1	0	0	0	0	0	1	1	1	0	1	0	0	1	1	1	0	2	1	0	0	1	1	1	0	0	1	1	0	0	0	2	2	0	1	0	0	0	2	2	0	0	2	0	1	0	1	0	0	0	1	1	1	0	0	0	0	1	0	1	0	0	0	0	0	0	0	2	0	0	0	0	0	1	1	0	1	0	0	1	1	1	0	1	2	0	1	0	0	0	0	1	0	0	0	1	0	0	0
1	1	0	0	0	0	0	1	0	0	2	1	0	0	0	2	1	2	1	2	1	1	0	1	1	0	1	1	1	0	0	0	0	0	1	0	2	0	0	0	0	1	0	1	0	0	0	0	1	0	0	1	1	0	1	1	1	0	0	0	2	0	0	0	0	0	2	0	0	1	0	1	1	0	0	1	0	2	0	1	0	0	0	2	1	1	0	1	1	1	1	0	0	2	1	0	2	0	0	0	0
0	0	0	1	0	1	1	0	0	0	2	1	1	0	0	0	1	0	1	0	0	1	0	1	2	0	1	1	1	1	0	2	1	0	1	0	2	1	0	0	1	1	1	1	1	1	0	1	1	1	1	0	0	1	1	0	1	0	0	1	2	0	0	1	1	0	0	0	0	0	0	2	1	1	0	1	0	0	0	0	0	0	1	0	0	2	2	1	0	0	0	1	0	1	0	0	0	1	0	0	0
1	1	0	1	0	0	1	0	0	0	0	1	0	1	0	2	1	2	1	1	1	1	0	0	2	0	0	0	1	0	0	1	1	0	1	0	1	1	0	0	1	1	2	1	2	0	0	1	0	1	0	0	1	0	0	1	1	0	0	0	0	0	0	0	0	1	0	1	0	0	1	1	1	0	0	1	1	1	1	2	0	1	0	0	0	1	0	2	1	0	0	0	0	1	1	1	0	1	0	0	0
0	1	0	1	0	0	0	2	0	0	1	2	0	1	0	1	1	0	0	1	1	0	0	0	0	0	0	0	0	0	1	0	0	1	1	0	2	0	0	0	2	0	0	1	1	0	0	0	0	0	0	2	1	0	1	0	2	0	2	0	0	0	0	0	0	1	2	0	0	1	0	2	1	0	0	0	2	1	0	1	0	2	1	1	0	1	1	1	1	1	0	1	0	1	1	0	0	1	0	0	0
0	1	0	2	0	0	1	0	1	1	0	1	0	1	1	1	0	2	0	1	2	1	0	0	1	0	0	1	0	0	0	1	0	1	1	0	1	2	2	0	1	2	2	0	0	1	0	1	0	1	0	0	0	1	1	1	1	1	0	0	1	0	0	0	0	0	2	0	0	1	0	0	1	0	1	2	0	2	0	0	0	0	1	1	0	1	1	1	2	0	0	2	0	1	0	2	1	0	1	0	0
0	0	1	1	0	0	0	1	1	0	0	0	1	1	1	0	0	0	1	0	2	2	0	0	1	1	0	0	0	1	0	1	1	1	1	0	1	0	0	0	2	0	1	0	0	0	0	2	0	1	1	2	0	0	2	0	0	0	1	2	1	0	1	0	0	1	2	0	0	0	0	1	1	1	1	1	0	0	0	1	0	1	0	0	0	0	1	0	0	1	0	0	1	2	1	0	2	0	0	0	0
0	2	0	0	0	1	0	0	2	0	1	0	0	1	1	1	0	0	0	0	1	0	0	0	1	0	1	0	0	1	2	2	0	1	0	0	0	1	0	0	1	1	2	1	2	1	0	1	0	0	1	1	0	0	1	1	0	0	0	1	0	0	0	1	0	2	2	0	0	2	1	0	1	0	1	1	1	1	1	1	0	0	1	2	0	2	2	1	1	1	1	1	0	0	0	1	2	2	1	0	0
0	1	0	1	0	0	0	0	1	1	0	1	1	0	1	1	0	2	1	1	0	1	0	0	0	0	0	1	1	0	1	2	0	0	0	0	1	1	0	0	1	2	0	2	1	0	0	1	0	0	0	1	0	1	1	0	1	0	1	0	2	0	0	0	0	0	2	1	0	2	1	1	1	1	0	0	2	1	1	2	0	1	0	1	0	0	2	0	0	0	1	0	0	1	0	1	1	1	0	0	0
0	0	1	0	0	0	0	0	1	2	0	1	1	1	0	0	1	1	0	2	1	2	0	2	1	0	0	0	0	0	0	2	0	2	2	0	1	0	0	0	0	0	2	2	1	0	0	0	0	0	0	0	1	2	2	1	1	0	0	0	0	0	0	0	0	2	2	0	0	0	2	1	0	0	0	1	1	1	0	1	1	1	0	0	1	0	1	1	0	0	0	1	0	0	1	0	2	1	0	0	0
1	1	0	1	0	1	0	0	0	0	0	0	0	0	0	2	0	1	0	1	1	0	0	0	0	0	0	0	0	0	1	2	0	1	1	0	0	1	0	0	0	1	1	2	2	1	0	1	0	2	0	1	1	1	2	1	1	0	0	0	1	0	0	1	1	0	1	0	0	2	1	1	1	1	0	1	2	1	0	0	0	1	0	0	0	0	1	1	1	1	1	0	0	0	0	2	0	0	0	1	0
1	2	0	0	0	0	0	2	0	0	1	0	2	0	1	1	1	0	0	0	2	1	0	0	1	1	2	0	1	1	1	1	0	1	2	0	1	1	0	0	0	0	1	1	0	0	0	2	0	0	0	0	1	0	1	1	2	0	2	1	0	0	0	1	0	2	0	0	0	0	0	0	0	0	0	1	1	1	0	2	0	1	2	1	0	0	1	0	0	0	2	1	0	2	0	0	0	0	1	0	0
0	2	1	0	0	0	1	0	0	0	1	1	0	0	0	1	0	0	1	1	1	0	0	0	0	1	1	2	0	0	0	0	0	1	0	1	1	0	1	0	0	1	1	0	1	0	0	0	0	0	0	0	0	1	1	0	1	1	0	0	1	0	0	2	0	0	1	0	0	0	0	2	0	0	0	1	0	0	2	0	0	1	0	2	0	0	1	1	0	0	0	0	0	1	1	0	2	0	0	0	0
0	0	0	0	1	0	0	0	1	1	1	1	1	1	0	0	0	2	0	2	1	1	0	1	0	0	1	0	1	0	1	0	0	1	1	0	2	1	0	0	2	1	0	1	0	0	1	1	0	1	1	0	1	2	1	0	0	0	0	1	0	0	0	1	0	2	0	0	0	0	0	0	2	0	0	2	1	0	0	0	0	1	1	1	1	1	1	0	1	1	0	0	0	1	1	1	2	1	0	1	0
1	1	0	0	0	0	0	0	1	1	1	2	1	0	0	2	0	0	1	1	0	1	0	1	1	2	1	0	1	0	0	0	0	1	2	0	1	0	1	0	0	1	0	1	2	0	0	0	0	1	0	0	0	1	1	0	1	0	0	0	0	0	0	1	1	1	0	0	0	1	1	0	0	0	0	2	0	0	1	0	0	1	0	1	1	1	0	1	0	1	0	0	0	2	1	0	1	0	0	1	0
0	1	0	0	0	0	0	1	0	2	1	0	0	1	1	2	0	1	0	1	0	2	0	0	2	0	0	0	0	0	1	0	0	0	0	0	2	2	0	0	0	1	1	0	0	0	0	1	0	1	0	0	0	0	1	1	2	0	0	0	0	0	0	1	0	1	0	0	0	0	0	0	0	0	0	1	1	1	1	1	0	0	1	0	0	0	2	2	1	0	0	1	0	0	0	1	1	0	0	0	0
0	0	0	1	0	0	0	1	1	1	0	1	1	0	0	1	0	0	0	0	0	2	1	0	0	0	0	0	1	1	1	0	0	2	1	1	0	1	0	0	0	1	2	1	2	1	0	2	1	1	0	1	0	0	1	1	0	0	1	1	0	0	1	1	1	0	0	0	0	1	0	2	0	0	0	1	1	1	1	0	0	1	0	1	1	0	2	2	0	0	0	1	1	1	2	0	1	0	1	0	0
0	0	0	1	0	1	0	0	2	2	1	2	0	1	0	1	1	1	1	1	0	0	0	1	1	0	0	1	0	0	0	0	1	0	0	0	0	0	0	0	1	0	1	1	1	1	0	1	0	0	1	1	1	0	1	0	2	0	1	1	2	0	0	0	1	1	0	1	0	2	1	1	0	1	0	0	0	1	1	0	0	2	0	0	0	1	0	1	1	0	0	0	0	1	0	0	1	0	0	0	0
0	1	0	2	0	1	0	0	2	0	2	2	0	1	0	2	0	1	0	1	2	1	0	0	0	1	1	0	0	1	2	1	0	0	1	0	1	2	1	0	0	1	2	1	1	0	0	2	1	2	0	0	0	0	1	1	2	0	0	1	1	0	0	1	0	2	0	0	0	2	0	0	2	0	0	1	2	0	0	0	0	1	0	0	0	1	1	1	2	0	0	0	0	1	1	0	2	0	0	1	0
1	1	1	1	0	0	0	0	0	2	0	0	2	1	1	1	1	1	1	0	1	1	0	0	1	1	1	0	1	0	0	1	0	2	1	0	0	1	1	0	0	1	0	0	1	0	0	0	0	1	0	0	1	1	1	1	1	0	0	0	1	0	1	0	0	1	1	0	0	0	0	1	0	0	0	0	1	1	0	1	0	1	0	0	0	0	1	2	1	0	1	1	0	0	0	0	1	0	0	1	0