{"id":"11449.7.2.a","row":323,"stored":{"file":"master_catalog_large.json","row":323,"construction":{"family":"two-group","k":7,"N":16,"s_total":8,"s_O":1},"columns_sha256":"330fcb7992790ccb1fea0a97b13f183b2142ff8d551a7b54222af7f0ba27546a"},"parameters":{"n":11449,"k":7,"d":2,"N":16,"r":9,"level":3},"gate":{"string":"0+1+2+3+4+5+6","human":"T0\u00b7T1\u00b7T2\u00b7T3\u00b7T4\u00b7T5\u00b7T6","monomials":[[0],[1],[2],[3],[4],[5],[6]],"sk_key":[[0],[1],[2],[3],[4],[5],[6]],"sk_fingerprint":"4227720e4bdc2b66","sk_canonical_frame":true,"relabelled_into_canonical_frame":false},"circuit":{"columns":[[0,1,2,3,4,5,6,7,8],[0,1,2,3,4,5,6,7,9],[0,1,2,3,4,5,6,7,10],[0,1,2,3,4,5,6,7,11],[0,1,2,3,4,5,6,7,12],[0,1,2,3,4,5,6,7,13],[0,1,2,3,4,5,6,7,14],[0,1,2,3,4,5,6,7,15],[0,1,2,3,4,5,6,8,9],[0,1,2,3,4,5,6,8,10],[0,1,2,3,4,5,6,8,11],[0,1,2,3,4,5,6,8,12],[0,1,2,3,4,5,6,8,13],[0,1,2,3,4,5,6,8,14],[0,1,2,3,4,5,6,8,15],[0,1,2,3,4,5,6,9,10],[0,1,2,3,4,5,6,9,11],[0,1,2,3,4,5,6,9,12],[0,1,2,3,4,5,6,9,13],[0,1,2,3,4,5,6,9,14],[0,1,2,3,4,5,6,9,15],[0,1,2,3,4,5,6,10,11],[0,1,2,3,4,5,6,10,12],[0,1,2,3,4,5,6,10,13],[0,1,2,3,4,5,6,10,14],[0,1,2,3,4,5,6,10,15],[0,1,2,3,4,5,6,11,12],[0,1,2,3,4,5,6,11,13],[0,1,2,3,4,5,6,11,14],[0,1,2,3,4,5,6,11,15],[0,1,2,3,4,5,6,12,13],[0,1,2,3,4,5,6,12,14],[0,1,2,3,4,5,6,12,15],[0,1,2,3,4,5,6,13,14],[0,1,2,3,4,5,6,13,15],[0,1,2,3,4,5,6,14,15],[0,1,2,3,4,5,7,8,9],[0,1,2,3,4,5,7,8,10],[0,1,2,3,4,5,7,8,11],[0,1,2,3,4,5,7,8,12],[0,1,2,3,4,5,7,8,13],[0,1,2,3,4,5,7,8,14],[0,1,2,3,4,5,7,8,15],[0,1,2,3,4,5,7,9,10],[0,1,2,3,4,5,7,9,11],[0,1,2,3,4,5,7,9,12],[0,1,2,3,4,5,7,9,13],[0,1,2,3,4,5,7,9,14],[0,1,2,3,4,5,7,9,15],[0,1,2,3,4,5,7,10,11],[0,1,2,3,4,5,7,10,12],[0,1,2,3,4,5,7,10,13],[0,1,2,3,4,5,7,10,14],[0,1,2,3,4,5,7,10,15],[0,1,2,3,4,5,7,11,12],[0,1,2,3,4,5,7,11,13],[0,1,2,3,4,5,7,11,14],[0,1,2,3,4,5,7,11,15],[0,1,2,3,4,5,7,12,13],[0,1,2,3,4,5,7,12,14],[0,1,2,3,4,5,7,12,15],[0,1,2,3,4,5,7,13,14],[0,1,2,3,4,5,7,13,15],[0,1,2,3,4,5,7,14,15],[0,1,2,3,4,5,8,9,10],[0,1,2,3,4,5,8,9,11],[0,1,2,3,4,5,8,9,12],[0,1,2,3,4,5,8,9,13],[0,1,2,3,4,5,8,9,14],[0,1,2,3,4,5,8,9,15],[0,1,2,3,4,5,8,10,11],[0,1,2,3,4,5,8,10,12],[0,1,2,3,4,5,8,10,13],[0,1,2,3,4,5,8,10,14],[0,1,2,3,4,5,8,10,15],[0,1,2,3,4,5,8,11,12],[0,1,2,3,4,5,8,11,13],[0,1,2,3,4,5,8,11,14],[0,1,2,3,4,5,8,11,15],[0,1,2,3,4,5,8,12,13],[0,1,2,3,4,5,8,12,14],[0,1,2,3,4,5,8,12,15],[0,1,2,3,4,5,8,13,14],[0,1,2,3,4,5,8,13,15],[0,1,2,3,4,5,8,14,15],[0,1,2,3,4,5,9,10,11],[0,1,2,3,4,5,9,10,12],[0,1,2,3,4,5,9,10,13],[0,1,2,3,4,5,9,10,14],[0,1,2,3,4,5,9,10,15],[0,1,2,3,4,5,9,11,12],[0,1,2,3,4,5,9,11,13],[0,1,2,3,4,5,9,11,14],[0,1,2,3,4,5,9,11,15],[0,1,2,3,4,5,9,12,13],[0,1,2,3,4,5,9,12,14],[0,1,2,3,4,5,9,12,15],[0,1,2,3,4,5,9,13,14],[0,1,2,3,4,5,9,13,15],[0,1,2,3,4,5,9,14,15],[0,1,2,3,4,5,10,11,12],[0,1,2,3,4,5,10,11,13],[0,1,2,3,4,5,10,11,14],[0,1,2,3,4,5,10,11,15],[0,1,2,3,4,5,10,12,13],[0,1,2,3,4,5,10,12,14],[0,1,2,3,4,5,10,12,15],[0,1,2,3,4,5,10,13,14],[0,1,2,3,4,5,10,13,15],[0,1,2,3,4,5,10,14,15],[0,1,2,3,4,5,11,12,13],[0,1,2,3,4,5,11,12,14],[0,1,2,3,4,5,11,12,15],[0,1,2,3,4,5,11,13,14],[0,1,2,3,4,5,11,13,15],[0,1,2,3,4,5,11,14,15],[0,1,2,3,4,5,12,13,14],[0,1,2,3,4,5,12,13,15],[0,1,2,3,4,5,12,14,15],[0,1,2,3,4,5,13,14,15],[0,1,2,3,4,6,7,8,9],[0,1,2,3,4,6,7,8,10],[0,1,2,3,4,6,7,8,11],[0,1,2,3,4,6,7,8,12],[0,1,2,3,4,6,7,8,13],[0,1,2,3,4,6,7,8,14],[0,1,2,3,4,6,7,8,15],[0,1,2,3,4,6,7,9,10],[0,1,2,3,4,6,7,9,11],[0,1,2,3,4,6,7,9,12],[0,1,2,3,4,6,7,9,13],[0,1,2,3,4,6,7,9,14],[0,1,2,3,4,6,7,9,15],[0,1,2,3,4,6,7,10,11],[0,1,2,3,4,6,7,10,12],[0,1,2,3,4,6,7,10,13],[0,1,2,3,4,6,7,10,14],[0,1,2,3,4,6,7,10,15],[0,1,2,3,4,6,7,11,12],[0,1,2,3,4,6,7,11,13],[0,1,2,3,4,6,7,11,14],[0,1,2,3,4,6,7,11,15],[0,1,2,3,4,6,7,12,13],[0,1,2,3,4,6,7,12,14],[0,1,2,3,4,6,7,12,15],[0,1,2,3,4,6,7,13,14],[0,1,2,3,4,6,7,13,15],[0,1,2,3,4,6,7,14,15],[0,1,2,3,4,6,8,9,10],[0,1,2,3,4,6,8,9,11],[0,1,2,3,4,6,8,9,12],[0,1,2,3,4,6,8,9,13],[0,1,2,3,4,6,8,9,14],[0,1,2,3,4,6,8,9,15],[0,1,2,3,4,6,8,10,11],[0,1,2,3,4,6,8,10,12],[0,1,2,3,4,6,8,10,13],[0,1,2,3,4,6,8,10,14],[0,1,2,3,4,6,8,10,15],[0,1,2,3,4,6,8,11,12],[0,1,2,3,4,6,8,11,13],[0,1,2,3,4,6,8,11,14],[0,1,2,3,4,6,8,11,15],[0,1,2,3,4,6,8,12,13],[0,1,2,3,4,6,8,12,14],[0,1,2,3,4,6,8,12,15],[0,1,2,3,4,6,8,13,14],[0,1,2,3,4,6,8,13,15],[0,1,2,3,4,6,8,14,15],[0,1,2,3,4,6,9,10,11],[0,1,2,3,4,6,9,10,12],[0,1,2,3,4,6,9,10,13],[0,1,2,3,4,6,9,10,14],[0,1,2,3,4,6,9,10,15],[0,1,2,3,4,6,9,11,12],[0,1,2,3,4,6,9,11,13],[0,1,2,3,4,6,9,11,14],[0,1,2,3,4,6,9,11,15],[0,1,2,3,4,6,9,12,13],[0,1,2,3,4,6,9,12,14],[0,1,2,3,4,6,9,12,15],[0,1,2,3,4,6,9,13,14],[0,1,2,3,4,6,9,13,15],[0,1,2,3,4,6,9,14,15],[0,1,2,3,4,6,10,11,12],[0,1,2,3,4,6,10,11,13],[0,1,2,3,4,6,10,11,14],[0,1,2,3,4,6,10,11,15],[0,1,2,3,4,6,10,12,13],[0,1,2,3,4,6,10,12,14],[0,1,2,3,4,6,10,12,15],[0,1,2,3,4,6,10,13,14],[0,1,2,3,4,6,10,13,15],[0,1,2,3,4,6,10,14,15],[0,1,2,3,4,6,11,12,13],[0,1,2,3,4,6,11,12,14],[0,1,2,3,4,6,11,12,15],[0,1,2,3,4,6,11,13,14],[0,1,2,3,4,6,11,13,15],[0,1,2,3,4,6,11,14,15],[0,1,2,3,4,6,12,13,14],[0,1,2,3,4,6,12,13,15],[0,1,2,3,4,6,12,14,15],[0,1,2,3,4,6,13,14,15],[0,1,2,3,4,7,8,9,10],[0,1,2,3,4,7,8,9,11],[0,1,2,3,4,7,8,9,12],[0,1,2,3,4,7,8,9,13],[0,1,2,3,4,7,8,9,14],[0,1,2,3,4,7,8,9,15],[0,1,2,3,4,7,8,10,11],[0,1,2,3,4,7,8,10,12],[0,1,2,3,4,7,8,10,13],[0,1,2,3,4,7,8,10,14],[0,1,2,3,4,7,8,10,15],[0,1,2,3,4,7,8,11,12],[0,1,2,3,4,7,8,11,13],[0,1,2,3,4,7,8,11,14],[0,1,2,3,4,7,8,11,15],[0,1,2,3,4,7,8,12,13],[0,1,2,3,4,7,8,12,14],[0,1,2,3,4,7,8,12,15],[0,1,2,3,4,7,8,13,14],[0,1,2,3,4,7,8,13,15],[0,1,2,3,4,7,8,14,15],[0,1,2,3,4,7,9,10,11],[0,1,2,3,4,7,9,10,12],[0,1,2,3,4,7,9,10,13],[0,1,2,3,4,7,9,10,14],[0,1,2,3,4,7,9,10,15],[0,1,2,3,4,7,9,11,12],[0,1,2,3,4,7,9,11,13],[0,1,2,3,4,7,9,11,14],[0,1,2,3,4,7,9,11,15],[0,1,2,3,4,7,9,12,13],[0,1,2,3,4,7,9,12,14],[0,1,2,3,4,7,9,12,15],[0,1,2,3,4,7,9,13,14],[0,1,2,3,4,7,9,13,15],[0,1,2,3,4,7,9,14,15],[0,1,2,3,4,7,10,11,12],[0,1,2,3,4,7,10,11,13],[0,1,2,3,4,7,10,11,14],[0,1,2,3,4,7,10,11,15],[0,1,2,3,4,7,10,12,13],[0,1,2,3,4,7,10,12,14],[0,1,2,3,4,7,10,12,15],[0,1,2,3,4,7,10,13,14],[0,1,2,3,4,7,10,13,15],[0,1,2,3,4,7,10,14,15],[0,1,2,3,4,7,11,12,13],[0,1,2,3,4,7,11,12,14],[0,1,2,3,4,7,11,12,15],[0,1,2,3,4,7,11,13,14],[0,1,2,3,4,7,11,13,15],[0,1,2,3,4,7,11,14,15],[0,1,2,3,4,7,12,13,14],[0,1,2,3,4,7,12,13,15],[0,1,2,3,4,7,12,14,15],[0,1,2,3,4,7,13,14,15],[0,1,2,3,4,8,9,10,11],[0,1,2,3,4,8,9,10,12],[0,1,2,3,4,8,9,10,13],[0,1,2,3,4,8,9,10,14],[0,1,2,3,4,8,9,10,15],[0,1,2,3,4,8,9,11,12],[0,1,2,3,4,8,9,11,13],[0,1,2,3,4,8,9,11,14],[0,1,2,3,4,8,9,11,15],[0,1,2,3,4,8,9,12,13],[0,1,2,3,4,8,9,12,14],[0,1,2,3,4,8,9,12,15],[0,1,2,3,4,8,9,13,14],[0,1,2,3,4,8,9,13,15],[0,1,2,3,4,8,9,14,15],[0,1,2,3,4,8,10,11,12],[0,1,2,3,4,8,10,11,13],[0,1,2,3,4,8,10,11,14],[0,1,2,3,4,8,10,11,15],[0,1,2,3,4,8,10,12,13],[0,1,2,3,4,8,10,12,14],[0,1,2,3,4,8,10,12,15],[0,1,2,3,4,8,10,13,14],[0,1,2,3,4,8,10,13,15],[0,1,2,3,4,8,10,14,15],[0,1,2,3,4,8,11,12,13],[0,1,2,3,4,8,11,12,14],[0,1,2,3,4,8,11,12,15],[0,1,2,3,4,8,11,13,14],[0,1,2,3,4,8,11,13,15],[0,1,2,3,4,8,11,14,15],[0,1,2,3,4,8,12,13,14],[0,1,2,3,4,8,12,13,15],[0,1,2,3,4,8,12,14,15],[0,1,2,3,4,8,13,14,15],[0,1,2,3,4,9,10,11,12],[0,1,2,3,4,9,10,11,13],[0,1,2,3,4,9,10,11,14],[0,1,2,3,4,9,10,11,15],[0,1,2,3,4,9,10,12,13],[0,1,2,3,4,9,10,12,14],[0,1,2,3,4,9,10,12,15],[0,1,2,3,4,9,10,13,14],[0,1,2,3,4,9,10,13,15],[0,1,2,3,4,9,10,14,15],[0,1,2,3,4,9,11,12,13],[0,1,2,3,4,9,11,12,14],[0,1,2,3,4,9,11,12,15],[0,1,2,3,4,9,11,13,14],[0,1,2,3,4,9,11,13,15],[0,1,2,3,4,9,11,14,15],[0,1,2,3,4,9,12,13,14],[0,1,2,3,4,9,12,13,15],[0,1,2,3,4,9,12,14,15],[0,1,2,3,4,9,13,14,15],[0,1,2,3,4,10,11,12,13],[0,1,2,3,4,10,11,12,14],[0,1,2,3,4,10,11,12,15],[0,1,2,3,4,10,11,13,14],[0,1,2,3,4,10,11,13,15],[0,1,2,3,4,10,11,14,15],[0,1,2,3,4,10,12,13,14],[0,1,2,3,4,10,12,13,15],[0,1,2,3,4,10,12,14,15],[0,1,2,3,4,10,13,14,15],[0,1,2,3,4,11,12,13,14],[0,1,2,3,4,11,12,13,15],[0,1,2,3,4,11,12,14,15],[0,1,2,3,4,11,13,14,15],[0,1,2,3,4,12,13,14,15],[0,1,2,3,5,6,7,8,9],[0,1,2,3,5,6,7,8,10],[0,1,2,3,5,6,7,8,11],[0,1,2,3,5,6,7,8,12],[0,1,2,3,5,6,7,8,13],[0,1,2,3,5,6,7,8,14],[0,1,2,3,5,6,7,8,15],[0,1,2,3,5,6,7,9,10],[0,1,2,3,5,6,7,9,11],[0,1,2,3,5,6,7,9,12],[0,1,2,3,5,6,7,9,13],[0,1,2,3,5,6,7,9,14],[0,1,2,3,5,6,7,9,15],[0,1,2,3,5,6,7,10,11],[0,1,2,3,5,6,7,10,12],[0,1,2,3,5,6,7,10,13],[0,1,2,3,5,6,7,10,14],[0,1,2,3,5,6,7,10,15],[0,1,2,3,5,6,7,11,12],[0,1,2,3,5,6,7,11,13],[0,1,2,3,5,6,7,11,14],[0,1,2,3,5,6,7,11,15],[0,1,2,3,5,6,7,12,13],[0,1,2,3,5,6,7,12,14],[0,1,2,3,5,6,7,12,15],[0,1,2,3,5,6,7,13,14],[0,1,2,3,5,6,7,13,15],[0,1,2,3,5,6,7,14,15],[0,1,2,3,5,6,8,9,10],[0,1,2,3,5,6,8,9,11],[0,1,2,3,5,6,8,9,12],[0,1,2,3,5,6,8,9,13],[0,1,2,3,5,6,8,9,14],[0,1,2,3,5,6,8,9,15],[0,1,2,3,5,6,8,10,11],[0,1,2,3,5,6,8,10,12],[0,1,2,3,5,6,8,10,13],[0,1,2,3,5,6,8,10,14],[0,1,2,3,5,6,8,10,15],[0,1,2,3,5,6,8,11,12],[0,1,2,3,5,6,8,11,13],[0,1,2,3,5,6,8,11,14],[0,1,2,3,5,6,8,11,15],[0,1,2,3,5,6,8,12,13],[0,1,2,3,5,6,8,12,14],[0,1,2,3,5,6,8,12,15],[0,1,2,3,5,6,8,13,14],[0,1,2,3,5,6,8,13,15],[0,1,2,3,5,6,8,14,15],[0,1,2,3,5,6,9,10,11],[0,1,2,3,5,6,9,10,12],[0,1,2,3,5,6,9,10,13],[0,1,2,3,5,6,9,10,14],[0,1,2,3,5,6,9,10,15],[0,1,2,3,5,6,9,11,12],[0,1,2,3,5,6,9,11,13],[0,1,2,3,5,6,9,11,14],[0,1,2,3,5,6,9,11,15],[0,1,2,3,5,6,9,12,13],[0,1,2,3,5,6,9,12,14],[0,1,2,3,5,6,9,12,15],[0,1,2,3,5,6,9,13,14],[0,1,2,3,5,6,9,13,15],[0,1,2,3,5,6,9,14,15],[0,1,2,3,5,6,10,11,12],[0,1,2,3,5,6,10,11,13],[0,1,2,3,5,6,10,11,14],[0,1,2,3,5,6,10,11,15],[0,1,2,3,5,6,10,12,13],[0,1,2,3,5,6,10,12,14],[0,1,2,3,5,6,10,12,15],[0,1,2,3,5,6,10,13,14],[0,1,2,3,5,6,10,13,15],[0,1,2,3,5,6,10,14,15],[0,1,2,3,5,6,11,12,13],[0,1,2,3,5,6,11,12,14],[0,1,2,3,5,6,11,12,15],[0,1,2,3,5,6,11,13,14],[0,1,2,3,5,6,11,13,15],[0,1,2,3,5,6,11,14,15],[0,1,2,3,5,6,12,13,14],[0,1,2,3,5,6,12,13,15],[0,1,2,3,5,6,12,14,15],[0,1,2,3,5,6,13,14,15],[0,1,2,3,5,7,8,9,10],[0,1,2,3,5,7,8,9,11],[0,1,2,3,5,7,8,9,12],[0,1,2,3,5,7,8,9,13],[0,1,2,3,5,7,8,9,14],[0,1,2,3,5,7,8,9,15],[0,1,2,3,5,7,8,10,11],[0,1,2,3,5,7,8,10,12],[0,1,2,3,5,7,8,10,13],[0,1,2,3,5,7,8,10,14],[0,1,2,3,5,7,8,10,15],[0,1,2,3,5,7,8,11,12],[0,1,2,3,5,7,8,11,13],[0,1,2,3,5,7,8,11,14],[0,1,2,3,5,7,8,11,15],[0,1,2,3,5,7,8,12,13],[0,1,2,3,5,7,8,12,14],[0,1,2,3,5,7,8,12,15],[0,1,2,3,5,7,8,13,14],[0,1,2,3,5,7,8,13,15],[0,1,2,3,5,7,8,14,15],[0,1,2,3,5,7,9,10,11],[0,1,2,3,5,7,9,10,12],[0,1,2,3,5,7,9,10,13],[0,1,2,3,5,7,9,10,14],[0,1,2,3,5,7,9,10,15],[0,1,2,3,5,7,9,11,12],[0,1,2,3,5,7,9,11,13],[0,1,2,3,5,7,9,11,14],[0,1,2,3,5,7,9,11,15],[0,1,2,3,5,7,9,12,13],[0,1,2,3,5,7,9,12,14],[0,1,2,3,5,7,9,12,15],[0,1,2,3,5,7,9,13,14],[0,1,2,3,5,7,9,13,15],[0,1,2,3,5,7,9,14,15],[0,1,2,3,5,7,10,11,12],[0,1,2,3,5,7,10,11,13],[0,1,2,3,5,7,10,11,14],[0,1,2,3,5,7,10,11,15],[0,1,2,3,5,7,10,12,13],[0,1,2,3,5,7,10,12,14],[0,1,2,3,5,7,10,12,15],[0,1,2,3,5,7,10,13,14],[0,1,2,3,5,7,10,13,15],[0,1,2,3,5,7,10,14,15],[0,1,2,3,5,7,11,12,13],[0,1,2,3,5,7,11,12,14],[0,1,2,3,5,7,11,12,15],[0,1,2,3,5,7,11,13,14],[0,1,2,3,5,7,11,13,15],[0,1,2,3,5,7,11,14,15],[0,1,2,3,5,7,12,13,14],[0,1,2,3,5,7,12,13,15],[0,1,2,3,5,7,12,14,15],[0,1,2,3,5,7,13,14,15],[0,1,2,3,5,8,9,10,11],[0,1,2,3,5,8,9,10,12],[0,1,2,3,5,8,9,10,13],[0,1,2,3,5,8,9,10,14],[0,1,2,3,5,8,9,10,15],[0,1,2,3,5,8,9,11,12],[0,1,2,3,5,8,9,11,13],[0,1,2,3,5,8,9,11,14],[0,1,2,3,5,8,9,11,15],[0,1,2,3,5,8,9,12,13],[0,1,2,3,5,8,9,12,14],[0,1,2,3,5,8,9,12,15],[0,1,2,3,5,8,9,13,14],[0,1,2,3,5,8,9,13,15],[0,1,2,3,5,8,9,14,15],[0,1,2,3,5,8,10,11,12],[0,1,2,3,5,8,10,11,13],[0,1,2,3,5,8,10,11,14],[0,1,2,3,5,8,10,11,15],[0,1,2,3,5,8,10,12,13],[0,1,2,3,5,8,10,12,14],[0,1,2,3,5,8,10,12,15],[0,1,2,3,5,8,10,13,14],[0,1,2,3,5,8,10,13,15],[0,1,2,3,5,8,10,14,15],[0,1,2,3,5,8,11,12,13],[0,1,2,3,5,8,11,12,14],[0,1,2,3,5,8,11,12,15],[0,1,2,3,5,8,11,13,14],[0,1,2,3,5,8,11,13,15],[0,1,2,3,5,8,11,14,15],[0,1,2,3,5,8,12,13,14],[0,1,2,3,5,8,12,13,15],[0,1,2,3,5,8,12,14,15],[0,1,2,3,5,8,13,14,15],[0,1,2,3,5,9,10,11,12],[0,1,2,3,5,9,10,11,13],[0,1,2,3,5,9,10,11,14],[0,1,2,3,5,9,10,11,15],[0,1,2,3,5,9,10,12,13],[0,1,2,3,5,9,10,12,14],[0,1,2,3,5,9,10,12,15],[0,1,2,3,5,9,10,13,14],[0,1,2,3,5,9,10,13,15],[0,1,2,3,5,9,10,14,15],[0,1,2,3,5,9,11,12,13],[0,1,2,3,5,9,11,12,14],[0,1,2,3,5,9,11,12,15],[0,1,2,3,5,9,11,13,14],[0,1,2,3,5,9,11,13,15],[0,1,2,3,5,9,11,14,15],[0,1,2,3,5,9,12,13,14],[0,1,2,3,5,9,12,13,15],[0,1,2,3,5,9,12,14,15],[0,1,2,3,5,9,13,14,15],[0,1,2,3,5,10,11,12,13],[0,1,2,3,5,10,11,12,14],[0,1,2,3,5,10,11,12,15],[0,1,2,3,5,10,11,13,14],[0,1,2,3,5,10,11,13,15],[0,1,2,3,5,10,11,14,15],[0,1,2,3,5,10,12,13,14],[0,1,2,3,5,10,12,13,15],[0,1,2,3,5,10,12,14,15],[0,1,2,3,5,10,13,14,15],[0,1,2,3,5,11,12,13,14],[0,1,2,3,5,11,12,13,15],[0,1,2,3,5,11,12,14,15],[0,1,2,3,5,11,13,14,15],[0,1,2,3,5,12,13,14,15],[0,1,2,3,6,7,8,9,10],[0,1,2,3,6,7,8,9,11],[0,1,2,3,6,7,8,9,12],[0,1,2,3,6,7,8,9,13],[0,1,2,3,6,7,8,9,14],[0,1,2,3,6,7,8,9,15],[0,1,2,3,6,7,8,10,11],[0,1,2,3,6,7,8,10,12],[0,1,2,3,6,7,8,10,13],[0,1,2,3,6,7,8,10,14],[0,1,2,3,6,7,8,10,15],[0,1,2,3,6,7,8,11,12],[0,1,2,3,6,7,8,11,13],[0,1,2,3,6,7,8,11,14],[0,1,2,3,6,7,8,11,15],[0,1,2,3,6,7,8,12,13],[0,1,2,3,6,7,8,12,14],[0,1,2,3,6,7,8,12,15],[0,1,2,3,6,7,8,13,14],[0,1,2,3,6,7,8,13,15],[0,1,2,3,6,7,8,14,15],[0,1,2,3,6,7,9,10,11],[0,1,2,3,6,7,9,10,12],[0,1,2,3,6,7,9,10,13],[0,1,2,3,6,7,9,10,14],[0,1,2,3,6,7,9,10,15],[0,1,2,3,6,7,9,11,12],[0,1,2,3,6,7,9,11,13],[0,1,2,3,6,7,9,11,14],[0,1,2,3,6,7,9,11,15],[0,1,2,3,6,7,9,12,13],[0,1,2,3,6,7,9,12,14],[0,1,2,3,6,7,9,12,15],[0,1,2,3,6,7,9,13,14],[0,1,2,3,6,7,9,13,15],[0,1,2,3,6,7,9,14,15],[0,1,2,3,6,7,10,11,12],[0,1,2,3,6,7,10,11,13],[0,1,2,3,6,7,10,11,14],[0,1,2,3,6,7,10,11,15],[0,1,2,3,6,7,10,12,13],[0,1,2,3,6,7,10,12,14],[0,1,2,3,6,7,10,12,15],[0,1,2,3,6,7,10,13,14],[0,1,2,3,6,7,10,13,15],[0,1,2,3,6,7,10,14,15],[0,1,2,3,6,7,11,12,13],[0,1,2,3,6,7,11,12,14],[0,1,2,3,6,7,11,12,15],[0,1,2,3,6,7,11,13,14],[0,1,2,3,6,7,11,13,15],[0,1,2,3,6,7,11,14,15],[0,1,2,3,6,7,12,13,14],[0,1,2,3,6,7,12,13,15],[0,1,2,3,6,7,12,14,15],[0,1,2,3,6,7,13,14,15],[0,1,2,3,6,8,9,10,11],[0,1,2,3,6,8,9,10,12],[0,1,2,3,6,8,9,10,13],[0,1,2,3,6,8,9,10,14],[0,1,2,3,6,8,9,10,15],[0,1,2,3,6,8,9,11,12],[0,1,2,3,6,8,9,11,13],[0,1,2,3,6,8,9,11,14],[0,1,2,3,6,8,9,11,15],[0,1,2,3,6,8,9,12,13],[0,1,2,3,6,8,9,12,14],[0,1,2,3,6,8,9,12,15],[0,1,2,3,6,8,9,13,14],[0,1,2,3,6,8,9,13,15],[0,1,2,3,6,8,9,14,15],[0,1,2,3,6,8,10,11,12],[0,1,2,3,6,8,10,11,13],[0,1,2,3,6,8,10,11,14],[0,1,2,3,6,8,10,11,15],[0,1,2,3,6,8,10,12,13],[0,1,2,3,6,8,10,12,14],[0,1,2,3,6,8,10,12,15],[0,1,2,3,6,8,10,13,14],[0,1,2,3,6,8,10,13,15],[0,1,2,3,6,8,10,14,15],[0,1,2,3,6,8,11,12,13],[0,1,2,3,6,8,11,12,14],[0,1,2,3,6,8,11,12,15],[0,1,2,3,6,8,11,13,14],[0,1,2,3,6,8,11,13,15],[0,1,2,3,6,8,11,14,15],[0,1,2,3,6,8,12,13,14],[0,1,2,3,6,8,12,13,15],[0,1,2,3,6,8,12,14,15],[0,1,2,3,6,8,13,14,15],[0,1,2,3,6,9,10,11,12],[0,1,2,3,6,9,10,11,13],[0,1,2,3,6,9,10,11,14],[0,1,2,3,6,9,10,11,15],[0,1,2,3,6,9,10,12,13],[0,1,2,3,6,9,10,12,14],[0,1,2,3,6,9,10,12,15],[0,1,2,3,6,9,10,13,14],[0,1,2,3,6,9,10,13,15],[0,1,2,3,6,9,10,14,15],[0,1,2,3,6,9,11,12,13],[0,1,2,3,6,9,11,12,14],[0,1,2,3,6,9,11,12,15],[0,1,2,3,6,9,11,13,14],[0,1,2,3,6,9,11,13,15],[0,1,2,3,6,9,11,14,15],[0,1,2,3,6,9,12,13,14],[0,1,2,3,6,9,12,13,15],[0,1,2,3,6,9,12,14,15],[0,1,2,3,6,9,13,14,15],[0,1,2,3,6,10,11,12,13],[0,1,2,3,6,10,11,12,14],[0,1,2,3,6,10,11,12,15],[0,1,2,3,6,10,11,13,14],[0,1,2,3,6,10,11,13,15],[0,1,2,3,6,10,11,14,15],[0,1,2,3,6,10,12,13,14],[0,1,2,3,6,10,12,13,15],[0,1,2,3,6,10,12,14,15],[0,1,2,3,6,10,13,14,15],[0,1,2,3,6,11,12,13,14],[0,1,2,3,6,11,12,13,15],[0,1,2,3,6,11,12,14,15],[0,1,2,3,6,11,13,14,15],[0,1,2,3,6,12,13,14,15],[0,1,2,3,7,8,9,10,11],[0,1,2,3,7,8,9,10,12],[0,1,2,3,7,8,9,10,13],[0,1,2,3,7,8,9,10,14],[0,1,2,3,7,8,9,10,15],[0,1,2,3,7,8,9,11,12],[0,1,2,3,7,8,9,11,13],[0,1,2,3,7,8,9,11,14],[0,1,2,3,7,8,9,11,15],[0,1,2,3,7,8,9,12,13],[0,1,2,3,7,8,9,12,14],[0,1,2,3,7,8,9,12,15],[0,1,2,3,7,8,9,13,14],[0,1,2,3,7,8,9,13,15],[0,1,2,3,7,8,9,14,15],[0,1,2,3,7,8,10,11,12],[0,1,2,3,7,8,10,11,13],[0,1,2,3,7,8,10,11,14],[0,1,2,3,7,8,10,11,15],[0,1,2,3,7,8,10,12,13],[0,1,2,3,7,8,10,12,14],[0,1,2,3,7,8,10,12,15],[0,1,2,3,7,8,10,13,14],[0,1,2,3,7,8,10,13,15],[0,1,2,3,7,8,10,14,15],[0,1,2,3,7,8,11,12,13],[0,1,2,3,7,8,11,12,14],[0,1,2,3,7,8,11,12,15],[0,1,2,3,7,8,11,13,14],[0,1,2,3,7,8,11,13,15],[0,1,2,3,7,8,11,14,15],[0,1,2,3,7,8,12,13,14],[0,1,2,3,7,8,12,13,15],[0,1,2,3,7,8,12,14,15],[0,1,2,3,7,8,13,14,15],[0,1,2,3,7,9,10,11,12],[0,1,2,3,7,9,10,11,13],[0,1,2,3,7,9,10,11,14],[0,1,2,3,7,9,10,11,15],[0,1,2,3,7,9,10,12,13],[0,1,2,3,7,9,10,12,14],[0,1,2,3,7,9,10,12,15],[0,1,2,3,7,9,10,13,14],[0,1,2,3,7,9,10,13,15],[0,1,2,3,7,9,10,14,15],[0,1,2,3,7,9,11,12,13],[0,1,2,3,7,9,11,12,14],[0,1,2,3,7,9,11,12,15],[0,1,2,3,7,9,11,13,14],[0,1,2,3,7,9,11,13,15],[0,1,2,3,7,9,11,14,15],[0,1,2,3,7,9,12,13,14],[0,1,2,3,7,9,12,13,15],[0,1,2,3,7,9,12,14,15],[0,1,2,3,7,9,13,14,15],[0,1,2,3,7,10,11,12,13],[0,1,2,3,7,10,11,12,14],[0,1,2,3,7,10,11,12,15],[0,1,2,3,7,10,11,13,14],[0,1,2,3,7,10,11,13,15],[0,1,2,3,7,10,11,14,15],[0,1,2,3,7,10,12,13,14],[0,1,2,3,7,10,12,13,15],[0,1,2,3,7,10,12,14,15],[0,1,2,3,7,10,13,14,15],[0,1,2,3,7,11,12,13,14],[0,1,2,3,7,11,12,13,15],[0,1,2,3,7,11,12,14,15],[0,1,2,3,7,11,13,14,15],[0,1,2,3,7,12,13,14,15],[0,1,2,3,8,9,10,11,12],[0,1,2,3,8,9,10,11,13],[0,1,2,3,8,9,10,11,14],[0,1,2,3,8,9,10,11,15],[0,1,2,3,8,9,10,12,13],[0,1,2,3,8,9,10,12,14],[0,1,2,3,8,9,10,12,15],[0,1,2,3,8,9,10,13,14],[0,1,2,3,8,9,10,13,15],[0,1,2,3,8,9,10,14,15],[0,1,2,3,8,9,11,12,13],[0,1,2,3,8,9,11,12,14],[0,1,2,3,8,9,11,12,15],[0,1,2,3,8,9,11,13,14],[0,1,2,3,8,9,11,13,15],[0,1,2,3,8,9,11,14,15],[0,1,2,3,8,9,12,13,14],[0,1,2,3,8,9,12,13,15],[0,1,2,3,8,9,12,14,15],[0,1,2,3,8,9,13,14,15],[0,1,2,3,8,10,11,12,13],[0,1,2,3,8,10,11,12,14],[0,1,2,3,8,10,11,12,15],[0,1,2,3,8,10,11,13,14],[0,1,2,3,8,10,11,13,15],[0,1,2,3,8,10,11,14,15],[0,1,2,3,8,10,12,13,14],[0,1,2,3,8,10,12,13,15],[0,1,2,3,8,10,12,14,15],[0,1,2,3,8,10,13,14,15],[0,1,2,3,8,11,12,13,14],[0,1,2,3,8,11,12,13,15],[0,1,2,3,8,11,12,14,15],[0,1,2,3,8,11,13,14,15],[0,1,2,3,8,12,13,14,15],[0,1,2,3,9,10,11,12,13],[0,1,2,3,9,10,11,12,14],[0,1,2,3,9,10,11,12,15],[0,1,2,3,9,10,11,13,14],[0,1,2,3,9,10,11,13,15],[0,1,2,3,9,10,11,14,15],[0,1,2,3,9,10,12,13,14],[0,1,2,3,9,10,12,13,15],[0,1,2,3,9,10,12,14,15],[0,1,2,3,9,10,13,14,15],[0,1,2,3,9,11,12,13,14],[0,1,2,3,9,11,12,13,15],[0,1,2,3,9,11,12,14,15],[0,1,2,3,9,11,13,14,15],[0,1,2,3,9,12,13,14,15],[0,1,2,3,10,11,12,13,14],[0,1,2,3,10,11,12,13,15],[0,1,2,3,10,11,12,14,15],[0,1,2,3,10,11,13,14,15],[0,1,2,3,10,12,13,14,15],[0,1,2,3,11,12,13,14,15],[0,1,2,4,5,6,7,8,9],[0,1,2,4,5,6,7,8,10],[0,1,2,4,5,6,7,8,11],[0,1,2,4,5,6,7,8,12],[0,1,2,4,5,6,7,8,13],[0,1,2,4,5,6,7,8,14],[0,1,2,4,5,6,7,8,15],[0,1,2,4,5,6,7,9,10],[0,1,2,4,5,6,7,9,11],[0,1,2,4,5,6,7,9,12],[0,1,2,4,5,6,7,9,13],[0,1,2,4,5,6,7,9,14],[0,1,2,4,5,6,7,9,15],[0,1,2,4,5,6,7,10,11],[0,1,2,4,5,6,7,10,12],[0,1,2,4,5,6,7,10,13],[0,1,2,4,5,6,7,10,14],[0,1,2,4,5,6,7,10,15],[0,1,2,4,5,6,7,11,12],[0,1,2,4,5,6,7,11,13],[0,1,2,4,5,6,7,11,14],[0,1,2,4,5,6,7,11,15],[0,1,2,4,5,6,7,12,13],[0,1,2,4,5,6,7,12,14],[0,1,2,4,5,6,7,12,15],[0,1,2,4,5,6,7,13,14],[0,1,2,4,5,6,7,13,15],[0,1,2,4,5,6,7,14,15],[0,1,2,4,5,6,8,9,10],[0,1,2,4,5,6,8,9,11],[0,1,2,4,5,6,8,9,12],[0,1,2,4,5,6,8,9,13],[0,1,2,4,5,6,8,9,14],[0,1,2,4,5,6,8,9,15],[0,1,2,4,5,6,8,10,11],[0,1,2,4,5,6,8,10,12],[0,1,2,4,5,6,8,10,13],[0,1,2,4,5,6,8,10,14],[0,1,2,4,5,6,8,10,15],[0,1,2,4,5,6,8,11,12],[0,1,2,4,5,6,8,11,13],[0,1,2,4,5,6,8,11,14],[0,1,2,4,5,6,8,11,15],[0,1,2,4,5,6,8,12,13],[0,1,2,4,5,6,8,12,14],[0,1,2,4,5,6,8,12,15],[0,1,2,4,5,6,8,13,14],[0,1,2,4,5,6,8,13,15],[0,1,2,4,5,6,8,14,15],[0,1,2,4,5,6,9,10,11],[0,1,2,4,5,6,9,10,12],[0,1,2,4,5,6,9,10,13],[0,1,2,4,5,6,9,10,14],[0,1,2,4,5,6,9,10,15],[0,1,2,4,5,6,9,11,12],[0,1,2,4,5,6,9,11,13],[0,1,2,4,5,6,9,11,14],[0,1,2,4,5,6,9,11,15],[0,1,2,4,5,6,9,12,13],[0,1,2,4,5,6,9,12,14],[0,1,2,4,5,6,9,12,15],[0,1,2,4,5,6,9,13,14],[0,1,2,4,5,6,9,13,15],[0,1,2,4,5,6,9,14,15],[0,1,2,4,5,6,10,11,12],[0,1,2,4,5,6,10,11,13],[0,1,2,4,5,6,10,11,14],[0,1,2,4,5,6,10,11,15],[0,1,2,4,5,6,10,12,13],[0,1,2,4,5,6,10,12,14],[0,1,2,4,5,6,10,12,15],[0,1,2,4,5,6,10,13,14],[0,1,2,4,5,6,10,13,15],[0,1,2,4,5,6,10,14,15],[0,1,2,4,5,6,11,12,13],[0,1,2,4,5,6,11,12,14],[0,1,2,4,5,6,11,12,15],[0,1,2,4,5,6,11,13,14],[0,1,2,4,5,6,11,13,15],[0,1,2,4,5,6,11,14,15],[0,1,2,4,5,6,12,13,14],[0,1,2,4,5,6,12,13,15],[0,1,2,4,5,6,12,14,15],[0,1,2,4,5,6,13,14,15],[0,1,2,4,5,7,8,9,10],[0,1,2,4,5,7,8,9,11],[0,1,2,4,5,7,8,9,12],[0,1,2,4,5,7,8,9,13],[0,1,2,4,5,7,8,9,14],[0,1,2,4,5,7,8,9,15],[0,1,2,4,5,7,8,10,11],[0,1,2,4,5,7,8,10,12],[0,1,2,4,5,7,8,10,13],[0,1,2,4,5,7,8,10,14],[0,1,2,4,5,7,8,10,15],[0,1,2,4,5,7,8,11,12],[0,1,2,4,5,7,8,11,13],[0,1,2,4,5,7,8,11,14],[0,1,2,4,5,7,8,11,15],[0,1,2,4,5,7,8,12,13],[0,1,2,4,5,7,8,12,14],[0,1,2,4,5,7,8,12,15],[0,1,2,4,5,7,8,13,14],[0,1,2,4,5,7,8,13,15],[0,1,2,4,5,7,8,14,15],[0,1,2,4,5,7,9,10,11],[0,1,2,4,5,7,9,10,12],[0,1,2,4,5,7,9,10,13],[0,1,2,4,5,7,9,10,14],[0,1,2,4,5,7,9,10,15],[0,1,2,4,5,7,9,11,12],[0,1,2,4,5,7,9,11,13],[0,1,2,4,5,7,9,11,14],[0,1,2,4,5,7,9,11,15],[0,1,2,4,5,7,9,12,13],[0,1,2,4,5,7,9,12,14],[0,1,2,4,5,7,9,12,15],[0,1,2,4,5,7,9,13,14],[0,1,2,4,5,7,9,13,15],[0,1,2,4,5,7,9,14,15],[0,1,2,4,5,7,10,11,12],[0,1,2,4,5,7,10,11,13],[0,1,2,4,5,7,10,11,14],[0,1,2,4,5,7,10,11,15],[0,1,2,4,5,7,10,12,13],[0,1,2,4,5,7,10,12,14],[0,1,2,4,5,7,10,12,15],[0,1,2,4,5,7,10,13,14],[0,1,2,4,5,7,10,13,15],[0,1,2,4,5,7,10,14,15],[0,1,2,4,5,7,11,12,13],[0,1,2,4,5,7,11,12,14],[0,1,2,4,5,7,11,12,15],[0,1,2,4,5,7,11,13,14],[0,1,2,4,5,7,11,13,15],[0,1,2,4,5,7,11,14,15],[0,1,2,4,5,7,12,13,14],[0,1,2,4,5,7,12,13,15],[0,1,2,4,5,7,12,14,15],[0,1,2,4,5,7,13,14,15],[0,1,2,4,5,8,9,10,11],[0,1,2,4,5,8,9,10,12],[0,1,2,4,5,8,9,10,13],[0,1,2,4,5,8,9,10,14],[0,1,2,4,5,8,9,10,15],[0,1,2,4,5,8,9,11,12],[0,1,2,4,5,8,9,11,13],[0,1,2,4,5,8,9,11,14],[0,1,2,4,5,8,9,11,15],[0,1,2,4,5,8,9,12,13],[0,1,2,4,5,8,9,12,14],[0,1,2,4,5,8,9,12,15],[0,1,2,4,5,8,9,13,14],[0,1,2,4,5,8,9,13,15],[0,1,2,4,5,8,9,14,15],[0,1,2,4,5,8,10,11,12],[0,1,2,4,5,8,10,11,13],[0,1,2,4,5,8,10,11,14],[0,1,2,4,5,8,10,11,15],[0,1,2,4,5,8,10,12,13],[0,1,2,4,5,8,10,12,14],[0,1,2,4,5,8,10,12,15],[0,1,2,4,5,8,10,13,14],[0,1,2,4,5,8,10,13,15],[0,1,2,4,5,8,10,14,15],[0,1,2,4,5,8,11,12,13],[0,1,2,4,5,8,11,12,14],[0,1,2,4,5,8,11,12,15],[0,1,2,4,5,8,11,13,14],[0,1,2,4,5,8,11,13,15],[0,1,2,4,5,8,11,14,15],[0,1,2,4,5,8,12,13,14],[0,1,2,4,5,8,12,13,15],[0,1,2,4,5,8,12,14,15],[0,1,2,4,5,8,13,14,15],[0,1,2,4,5,9,10,11,12],[0,1,2,4,5,9,10,11,13],[0,1,2,4,5,9,10,11,14],[0,1,2,4,5,9,10,11,15],[0,1,2,4,5,9,10,12,13],[0,1,2,4,5,9,10,12,14],[0,1,2,4,5,9,10,12,15],[0,1,2,4,5,9,10,13,14],[0,1,2,4,5,9,10,13,15],[0,1,2,4,5,9,10,14,15],[0,1,2,4,5,9,11,12,13],[0,1,2,4,5,9,11,12,14],[0,1,2,4,5,9,11,12,15],[0,1,2,4,5,9,11,13,14],[0,1,2,4,5,9,11,13,15],[0,1,2,4,5,9,11,14,15],[0,1,2,4,5,9,12,13,14],[0,1,2,4,5,9,12,13,15],[0,1,2,4,5,9,12,14,15],[0,1,2,4,5,9,13,14,15],[0,1,2,4,5,10,11,12,13],[0,1,2,4,5,10,11,12,14],[0,1,2,4,5,10,11,12,15],[0,1,2,4,5,10,11,13,14],[0,1,2,4,5,10,11,13,15],[0,1,2,4,5,10,11,14,15],[0,1,2,4,5,10,12,13,14],[0,1,2,4,5,10,12,13,15],[0,1,2,4,5,10,12,14,15],[0,1,2,4,5,10,13,14,15],[0,1,2,4,5,11,12,13,14],[0,1,2,4,5,11,12,13,15],[0,1,2,4,5,11,12,14,15],[0,1,2,4,5,11,13,14,15],[0,1,2,4,5,12,13,14,15],[0,1,2,4,6,7,8,9,10],[0,1,2,4,6,7,8,9,11],[0,1,2,4,6,7,8,9,12],[0,1,2,4,6,7,8,9,13],[0,1,2,4,6,7,8,9,14],[0,1,2,4,6,7,8,9,15],[0,1,2,4,6,7,8,10,11],[0,1,2,4,6,7,8,10,12],[0,1,2,4,6,7,8,10,13],[0,1,2,4,6,7,8,10,14],[0,1,2,4,6,7,8,10,15],[0,1,2,4,6,7,8,11,12],[0,1,2,4,6,7,8,11,13],[0,1,2,4,6,7,8,11,14],[0,1,2,4,6,7,8,11,15],[0,1,2,4,6,7,8,12,13],[0,1,2,4,6,7,8,12,14],[0,1,2,4,6,7,8,12,15],[0,1,2,4,6,7,8,13,14],[0,1,2,4,6,7,8,13,15],[0,1,2,4,6,7,8,14,15],[0,1,2,4,6,7,9,10,11],[0,1,2,4,6,7,9,10,12],[0,1,2,4,6,7,9,10,13],[0,1,2,4,6,7,9,10,14],[0,1,2,4,6,7,9,10,15],[0,1,2,4,6,7,9,11,12],[0,1,2,4,6,7,9,11,13],[0,1,2,4,6,7,9,11,14],[0,1,2,4,6,7,9,11,15],[0,1,2,4,6,7,9,12,13],[0,1,2,4,6,7,9,12,14],[0,1,2,4,6,7,9,12,15],[0,1,2,4,6,7,9,13,14],[0,1,2,4,6,7,9,13,15],[0,1,2,4,6,7,9,14,15],[0,1,2,4,6,7,10,11,12],[0,1,2,4,6,7,10,11,13],[0,1,2,4,6,7,10,11,14],[0,1,2,4,6,7,10,11,15],[0,1,2,4,6,7,10,12,13],[0,1,2,4,6,7,10,12,14],[0,1,2,4,6,7,10,12,15],[0,1,2,4,6,7,10,13,14],[0,1,2,4,6,7,10,13,15],[0,1,2,4,6,7,10,14,15],[0,1,2,4,6,7,11,12,13],[0,1,2,4,6,7,11,12,14],[0,1,2,4,6,7,11,12,15],[0,1,2,4,6,7,11,13,14],[0,1,2,4,6,7,11,13,15],[0,1,2,4,6,7,11,14,15],[0,1,2,4,6,7,12,13,14],[0,1,2,4,6,7,12,13,15],[0,1,2,4,6,7,12,14,15],[0,1,2,4,6,7,13,14,15],[0,1,2,4,6,8,9,10,11],[0,1,2,4,6,8,9,10,12],[0,1,2,4,6,8,9,10,13],[0,1,2,4,6,8,9,10,14],[0,1,2,4,6,8,9,10,15],[0,1,2,4,6,8,9,11,12],[0,1,2,4,6,8,9,11,13],[0,1,2,4,6,8,9,11,14],[0,1,2,4,6,8,9,11,15],[0,1,2,4,6,8,9,12,13],[0,1,2,4,6,8,9,12,14],[0,1,2,4,6,8,9,12,15],[0,1,2,4,6,8,9,13,14],[0,1,2,4,6,8,9,13,15],[0,1,2,4,6,8,9,14,15],[0,1,2,4,6,8,10,11,12],[0,1,2,4,6,8,10,11,13],[0,1,2,4,6,8,10,11,14],[0,1,2,4,6,8,10,11,15],[0,1,2,4,6,8,10,12,13],[0,1,2,4,6,8,10,12,14],[0,1,2,4,6,8,10,12,15],[0,1,2,4,6,8,10,13,14],[0,1,2,4,6,8,10,13,15],[0,1,2,4,6,8,10,14,15],[0,1,2,4,6,8,11,12,13],[0,1,2,4,6,8,11,12,14],[0,1,2,4,6,8,11,12,15],[0,1,2,4,6,8,11,13,14],[0,1,2,4,6,8,11,13,15],[0,1,2,4,6,8,11,14,15],[0,1,2,4,6,8,12,13,14],[0,1,2,4,6,8,12,13,15],[0,1,2,4,6,8,12,14,15],[0,1,2,4,6,8,13,14,15],[0,1,2,4,6,9,10,11,12],[0,1,2,4,6,9,10,11,13],[0,1,2,4,6,9,10,11,14],[0,1,2,4,6,9,10,11,15],[0,1,2,4,6,9,10,12,13],[0,1,2,4,6,9,10,12,14],[0,1,2,4,6,9,10,12,15],[0,1,2,4,6,9,10,13,14],[0,1,2,4,6,9,10,13,15],[0,1,2,4,6,9,10,14,15],[0,1,2,4,6,9,11,12,13],[0,1,2,4,6,9,11,12,14],[0,1,2,4,6,9,11,12,15],[0,1,2,4,6,9,11,13,14],[0,1,2,4,6,9,11,13,15],[0,1,2,4,6,9,11,14,15],[0,1,2,4,6,9,12,13,14],[0,1,2,4,6,9,12,13,15],[0,1,2,4,6,9,12,14,15],[0,1,2,4,6,9,13,14,15],[0,1,2,4,6,10,11,12,13],[0,1,2,4,6,10,11,12,14],[0,1,2,4,6,10,11,12,15],[0,1,2,4,6,10,11,13,14],[0,1,2,4,6,10,11,13,15],[0,1,2,4,6,10,11,14,15],[0,1,2,4,6,10,12,13,14],[0,1,2,4,6,10,12,13,15],[0,1,2,4,6,10,12,14,15],[0,1,2,4,6,10,13,14,15],[0,1,2,4,6,11,12,13,14],[0,1,2,4,6,11,12,13,15],[0,1,2,4,6,11,12,14,15],[0,1,2,4,6,11,13,14,15],[0,1,2,4,6,12,13,14,15],[0,1,2,4,7,8,9,10,11],[0,1,2,4,7,8,9,10,12],[0,1,2,4,7,8,9,10,13],[0,1,2,4,7,8,9,10,14],[0,1,2,4,7,8,9,10,15],[0,1,2,4,7,8,9,11,12],[0,1,2,4,7,8,9,11,13],[0,1,2,4,7,8,9,11,14],[0,1,2,4,7,8,9,11,15],[0,1,2,4,7,8,9,12,13],[0,1,2,4,7,8,9,12,14],[0,1,2,4,7,8,9,12,15],[0,1,2,4,7,8,9,13,14],[0,1,2,4,7,8,9,13,15],[0,1,2,4,7,8,9,14,15],[0,1,2,4,7,8,10,11,12],[0,1,2,4,7,8,10,11,13],[0,1,2,4,7,8,10,11,14],[0,1,2,4,7,8,10,11,15],[0,1,2,4,7,8,10,12,13],[0,1,2,4,7,8,10,12,14],[0,1,2,4,7,8,10,12,15],[0,1,2,4,7,8,10,13,14],[0,1,2,4,7,8,10,13,15],[0,1,2,4,7,8,10,14,15],[0,1,2,4,7,8,11,12,13],[0,1,2,4,7,8,11,12,14],[0,1,2,4,7,8,11,12,15],[0,1,2,4,7,8,11,13,14],[0,1,2,4,7,8,11,13,15],[0,1,2,4,7,8,11,14,15],[0,1,2,4,7,8,12,13,14],[0,1,2,4,7,8,12,13,15],[0,1,2,4,7,8,12,14,15],[0,1,2,4,7,8,13,14,15],[0,1,2,4,7,9,10,11,12],[0,1,2,4,7,9,10,11,13],[0,1,2,4,7,9,10,11,14],[0,1,2,4,7,9,10,11,15],[0,1,2,4,7,9,10,12,13],[0,1,2,4,7,9,10,12,14],[0,1,2,4,7,9,10,12,15],[0,1,2,4,7,9,10,13,14],[0,1,2,4,7,9,10,13,15],[0,1,2,4,7,9,10,14,15],[0,1,2,4,7,9,11,12,13],[0,1,2,4,7,9,11,12,14],[0,1,2,4,7,9,11,12,15],[0,1,2,4,7,9,11,13,14],[0,1,2,4,7,9,11,13,15],[0,1,2,4,7,9,11,14,15],[0,1,2,4,7,9,12,13,14],[0,1,2,4,7,9,12,13,15],[0,1,2,4,7,9,12,14,15],[0,1,2,4,7,9,13,14,15],[0,1,2,4,7,10,11,12,13],[0,1,2,4,7,10,11,12,14],[0,1,2,4,7,10,11,12,15],[0,1,2,4,7,10,11,13,14],[0,1,2,4,7,10,11,13,15],[0,1,2,4,7,10,11,14,15],[0,1,2,4,7,10,12,13,14],[0,1,2,4,7,10,12,13,15],[0,1,2,4,7,10,12,14,15],[0,1,2,4,7,10,13,14,15],[0,1,2,4,7,11,12,13,14],[0,1,2,4,7,11,12,13,15],[0,1,2,4,7,11,12,14,15],[0,1,2,4,7,11,13,14,15],[0,1,2,4,7,12,13,14,15],[0,1,2,4,8,9,10,11,12],[0,1,2,4,8,9,10,11,13],[0,1,2,4,8,9,10,11,14],[0,1,2,4,8,9,10,11,15],[0,1,2,4,8,9,10,12,13],[0,1,2,4,8,9,10,12,14],[0,1,2,4,8,9,10,12,15],[0,1,2,4,8,9,10,13,14],[0,1,2,4,8,9,10,13,15],[0,1,2,4,8,9,10,14,15],[0,1,2,4,8,9,11,12,13],[0,1,2,4,8,9,11,12,14],[0,1,2,4,8,9,11,12,15],[0,1,2,4,8,9,11,13,14],[0,1,2,4,8,9,11,13,15],[0,1,2,4,8,9,11,14,15],[0,1,2,4,8,9,12,13,14],[0,1,2,4,8,9,12,13,15],[0,1,2,4,8,9,12,14,15],[0,1,2,4,8,9,13,14,15],[0,1,2,4,8,10,11,12,13],[0,1,2,4,8,10,11,12,14],[0,1,2,4,8,10,11,12,15],[0,1,2,4,8,10,11,13,14],[0,1,2,4,8,10,11,13,15],[0,1,2,4,8,10,11,14,15],[0,1,2,4,8,10,12,13,14],[0,1,2,4,8,10,12,13,15],[0,1,2,4,8,10,12,14,15],[0,1,2,4,8,10,13,14,15],[0,1,2,4,8,11,12,13,14],[0,1,2,4,8,11,12,13,15],[0,1,2,4,8,11,12,14,15],[0,1,2,4,8,11,13,14,15],[0,1,2,4,8,12,13,14,15],[0,1,2,4,9,10,11,12,13],[0,1,2,4,9,10,11,12,14],[0,1,2,4,9,10,11,12,15],[0,1,2,4,9,10,11,13,14],[0,1,2,4,9,10,11,13,15],[0,1,2,4,9,10,11,14,15],[0,1,2,4,9,10,12,13,14],[0,1,2,4,9,10,12,13,15],[0,1,2,4,9,10,12,14,15],[0,1,2,4,9,10,13,14,15],[0,1,2,4,9,11,12,13,14],[0,1,2,4,9,11,12,13,15],[0,1,2,4,9,11,12,14,15],[0,1,2,4,9,11,13,14,15],[0,1,2,4,9,12,13,14,15],[0,1,2,4,10,11,12,13,14],[0,1,2,4,10,11,12,13,15],[0,1,2,4,10,11,12,14,15],[0,1,2,4,10,11,13,14,15],[0,1,2,4,10,12,13,14,15],[0,1,2,4,11,12,13,14,15],[0,1,2,5,6,7,8,9,10],[0,1,2,5,6,7,8,9,11],[0,1,2,5,6,7,8,9,12],[0,1,2,5,6,7,8,9,13],[0,1,2,5,6,7,8,9,14],[0,1,2,5,6,7,8,9,15],[0,1,2,5,6,7,8,10,11],[0,1,2,5,6,7,8,10,12],[0,1,2,5,6,7,8,10,13],[0,1,2,5,6,7,8,10,14],[0,1,2,5,6,7,8,10,15],[0,1,2,5,6,7,8,11,12],[0,1,2,5,6,7,8,11,13],[0,1,2,5,6,7,8,11,14],[0,1,2,5,6,7,8,11,15],[0,1,2,5,6,7,8,12,13],[0,1,2,5,6,7,8,12,14],[0,1,2,5,6,7,8,12,15],[0,1,2,5,6,7,8,13,14],[0,1,2,5,6,7,8,13,15],[0,1,2,5,6,7,8,14,15],[0,1,2,5,6,7,9,10,11],[0,1,2,5,6,7,9,10,12],[0,1,2,5,6,7,9,10,13],[0,1,2,5,6,7,9,10,14],[0,1,2,5,6,7,9,10,15],[0,1,2,5,6,7,9,11,12],[0,1,2,5,6,7,9,11,13],[0,1,2,5,6,7,9,11,14],[0,1,2,5,6,7,9,11,15],[0,1,2,5,6,7,9,12,13],[0,1,2,5,6,7,9,12,14],[0,1,2,5,6,7,9,12,15],[0,1,2,5,6,7,9,13,14],[0,1,2,5,6,7,9,13,15],[0,1,2,5,6,7,9,14,15],[0,1,2,5,6,7,10,11,12],[0,1,2,5,6,7,10,11,13],[0,1,2,5,6,7,10,11,14],[0,1,2,5,6,7,10,11,15],[0,1,2,5,6,7,10,12,13],[0,1,2,5,6,7,10,12,14],[0,1,2,5,6,7,10,12,15],[0,1,2,5,6,7,10,13,14],[0,1,2,5,6,7,10,13,15],[0,1,2,5,6,7,10,14,15],[0,1,2,5,6,7,11,12,13],[0,1,2,5,6,7,11,12,14],[0,1,2,5,6,7,11,12,15],[0,1,2,5,6,7,11,13,14],[0,1,2,5,6,7,11,13,15],[0,1,2,5,6,7,11,14,15],[0,1,2,5,6,7,12,13,14],[0,1,2,5,6,7,12,13,15],[0,1,2,5,6,7,12,14,15],[0,1,2,5,6,7,13,14,15],[0,1,2,5,6,8,9,10,11],[0,1,2,5,6,8,9,10,12],[0,1,2,5,6,8,9,10,13],[0,1,2,5,6,8,9,10,14],[0,1,2,5,6,8,9,10,15],[0,1,2,5,6,8,9,11,12],[0,1,2,5,6,8,9,11,13],[0,1,2,5,6,8,9,11,14],[0,1,2,5,6,8,9,11,15],[0,1,2,5,6,8,9,12,13],[0,1,2,5,6,8,9,12,14],[0,1,2,5,6,8,9,12,15],[0,1,2,5,6,8,9,13,14],[0,1,2,5,6,8,9,13,15],[0,1,2,5,6,8,9,14,15],[0,1,2,5,6,8,10,11,12],[0,1,2,5,6,8,10,11,13],[0,1,2,5,6,8,10,11,14],[0,1,2,5,6,8,10,11,15],[0,1,2,5,6,8,10,12,13],[0,1,2,5,6,8,10,12,14],[0,1,2,5,6,8,10,12,15],[0,1,2,5,6,8,10,13,14],[0,1,2,5,6,8,10,13,15],[0,1,2,5,6,8,10,14,15],[0,1,2,5,6,8,11,12,13],[0,1,2,5,6,8,11,12,14],[0,1,2,5,6,8,11,12,15],[0,1,2,5,6,8,11,13,14],[0,1,2,5,6,8,11,13,15],[0,1,2,5,6,8,11,14,15],[0,1,2,5,6,8,12,13,14],[0,1,2,5,6,8,12,13,15],[0,1,2,5,6,8,12,14,15],[0,1,2,5,6,8,13,14,15],[0,1,2,5,6,9,10,11,12],[0,1,2,5,6,9,10,11,13],[0,1,2,5,6,9,10,11,14],[0,1,2,5,6,9,10,11,15],[0,1,2,5,6,9,10,12,13],[0,1,2,5,6,9,10,12,14],[0,1,2,5,6,9,10,12,15],[0,1,2,5,6,9,10,13,14],[0,1,2,5,6,9,10,13,15],[0,1,2,5,6,9,10,14,15],[0,1,2,5,6,9,11,12,13],[0,1,2,5,6,9,11,12,14],[0,1,2,5,6,9,11,12,15],[0,1,2,5,6,9,11,13,14],[0,1,2,5,6,9,11,13,15],[0,1,2,5,6,9,11,14,15],[0,1,2,5,6,9,12,13,14],[0,1,2,5,6,9,12,13,15],[0,1,2,5,6,9,12,14,15],[0,1,2,5,6,9,13,14,15],[0,1,2,5,6,10,11,12,13],[0,1,2,5,6,10,11,12,14],[0,1,2,5,6,10,11,12,15],[0,1,2,5,6,10,11,13,14],[0,1,2,5,6,10,11,13,15],[0,1,2,5,6,10,11,14,15],[0,1,2,5,6,10,12,13,14],[0,1,2,5,6,10,12,13,15],[0,1,2,5,6,10,12,14,15],[0,1,2,5,6,10,13,14,15],[0,1,2,5,6,11,12,13,14],[0,1,2,5,6,11,12,13,15],[0,1,2,5,6,11,12,14,15],[0,1,2,5,6,11,13,14,15],[0,1,2,5,6,12,13,14,15],[0,1,2,5,7,8,9,10,11],[0,1,2,5,7,8,9,10,12],[0,1,2,5,7,8,9,10,13],[0,1,2,5,7,8,9,10,14],[0,1,2,5,7,8,9,10,15],[0,1,2,5,7,8,9,11,12],[0,1,2,5,7,8,9,11,13],[0,1,2,5,7,8,9,11,14],[0,1,2,5,7,8,9,11,15],[0,1,2,5,7,8,9,12,13],[0,1,2,5,7,8,9,12,14],[0,1,2,5,7,8,9,12,15],[0,1,2,5,7,8,9,13,14],[0,1,2,5,7,8,9,13,15],[0,1,2,5,7,8,9,14,15],[0,1,2,5,7,8,10,11,12],[0,1,2,5,7,8,10,11,13],[0,1,2,5,7,8,10,11,14],[0,1,2,5,7,8,10,11,15],[0,1,2,5,7,8,10,12,13],[0,1,2,5,7,8,10,12,14],[0,1,2,5,7,8,10,12,15],[0,1,2,5,7,8,10,13,14],[0,1,2,5,7,8,10,13,15],[0,1,2,5,7,8,10,14,15],[0,1,2,5,7,8,11,12,13],[0,1,2,5,7,8,11,12,14],[0,1,2,5,7,8,11,12,15],[0,1,2,5,7,8,11,13,14],[0,1,2,5,7,8,11,13,15],[0,1,2,5,7,8,11,14,15],[0,1,2,5,7,8,12,13,14],[0,1,2,5,7,8,12,13,15],[0,1,2,5,7,8,12,14,15],[0,1,2,5,7,8,13,14,15],[0,1,2,5,7,9,10,11,12],[0,1,2,5,7,9,10,11,13],[0,1,2,5,7,9,10,11,14],[0,1,2,5,7,9,10,11,15],[0,1,2,5,7,9,10,12,13],[0,1,2,5,7,9,10,12,14],[0,1,2,5,7,9,10,12,15],[0,1,2,5,7,9,10,13,14],[0,1,2,5,7,9,10,13,15],[0,1,2,5,7,9,10,14,15],[0,1,2,5,7,9,11,12,13],[0,1,2,5,7,9,11,12,14],[0,1,2,5,7,9,11,12,15],[0,1,2,5,7,9,11,13,14],[0,1,2,5,7,9,11,13,15],[0,1,2,5,7,9,11,14,15],[0,1,2,5,7,9,12,13,14],[0,1,2,5,7,9,12,13,15],[0,1,2,5,7,9,12,14,15],[0,1,2,5,7,9,13,14,15],[0,1,2,5,7,10,11,12,13],[0,1,2,5,7,10,11,12,14],[0,1,2,5,7,10,11,12,15],[0,1,2,5,7,10,11,13,14],[0,1,2,5,7,10,11,13,15],[0,1,2,5,7,10,11,14,15],[0,1,2,5,7,10,12,13,14],[0,1,2,5,7,10,12,13,15],[0,1,2,5,7,10,12,14,15],[0,1,2,5,7,10,13,14,15],[0,1,2,5,7,11,12,13,14],[0,1,2,5,7,11,12,13,15],[0,1,2,5,7,11,12,14,15],[0,1,2,5,7,11,13,14,15],[0,1,2,5,7,12,13,14,15],[0,1,2,5,8,9,10,11,12],[0,1,2,5,8,9,10,11,13],[0,1,2,5,8,9,10,11,14],[0,1,2,5,8,9,10,11,15],[0,1,2,5,8,9,10,12,13],[0,1,2,5,8,9,10,12,14],[0,1,2,5,8,9,10,12,15],[0,1,2,5,8,9,10,13,14],[0,1,2,5,8,9,10,13,15],[0,1,2,5,8,9,10,14,15],[0,1,2,5,8,9,11,12,13],[0,1,2,5,8,9,11,12,14],[0,1,2,5,8,9,11,12,15],[0,1,2,5,8,9,11,13,14],[0,1,2,5,8,9,11,13,15],[0,1,2,5,8,9,11,14,15],[0,1,2,5,8,9,12,13,14],[0,1,2,5,8,9,12,13,15],[0,1,2,5,8,9,12,14,15],[0,1,2,5,8,9,13,14,15],[0,1,2,5,8,10,11,12,13],[0,1,2,5,8,10,11,12,14],[0,1,2,5,8,10,11,12,15],[0,1,2,5,8,10,11,13,14],[0,1,2,5,8,10,11,13,15],[0,1,2,5,8,10,11,14,15],[0,1,2,5,8,10,12,13,14],[0,1,2,5,8,10,12,13,15],[0,1,2,5,8,10,12,14,15],[0,1,2,5,8,10,13,14,15],[0,1,2,5,8,11,12,13,14],[0,1,2,5,8,11,12,13,15],[0,1,2,5,8,11,12,14,15],[0,1,2,5,8,11,13,14,15],[0,1,2,5,8,12,13,14,15],[0,1,2,5,9,10,11,12,13],[0,1,2,5,9,10,11,12,14],[0,1,2,5,9,10,11,12,15],[0,1,2,5,9,10,11,13,14],[0,1,2,5,9,10,11,13,15],[0,1,2,5,9,10,11,14,15],[0,1,2,5,9,10,12,13,14],[0,1,2,5,9,10,12,13,15],[0,1,2,5,9,10,12,14,15],[0,1,2,5,9,10,13,14,15],[0,1,2,5,9,11,12,13,14],[0,1,2,5,9,11,12,13,15],[0,1,2,5,9,11,12,14,15],[0,1,2,5,9,11,13,14,15],[0,1,2,5,9,12,13,14,15],[0,1,2,5,10,11,12,13,14],[0,1,2,5,10,11,12,13,15],[0,1,2,5,10,11,12,14,15],[0,1,2,5,10,11,13,14,15],[0,1,2,5,10,12,13,14,15],[0,1,2,5,11,12,13,14,15],[0,1,2,6,7,8,9,10,11],[0,1,2,6,7,8,9,10,12],[0,1,2,6,7,8,9,10,13],[0,1,2,6,7,8,9,10,14],[0,1,2,6,7,8,9,10,15],[0,1,2,6,7,8,9,11,12],[0,1,2,6,7,8,9,11,13],[0,1,2,6,7,8,9,11,14],[0,1,2,6,7,8,9,11,15],[0,1,2,6,7,8,9,12,13],[0,1,2,6,7,8,9,12,14],[0,1,2,6,7,8,9,12,15],[0,1,2,6,7,8,9,13,14],[0,1,2,6,7,8,9,13,15],[0,1,2,6,7,8,9,14,15],[0,1,2,6,7,8,10,11,12],[0,1,2,6,7,8,10,11,13],[0,1,2,6,7,8,10,11,14],[0,1,2,6,7,8,10,11,15],[0,1,2,6,7,8,10,12,13],[0,1,2,6,7,8,10,12,14],[0,1,2,6,7,8,10,12,15],[0,1,2,6,7,8,10,13,14],[0,1,2,6,7,8,10,13,15],[0,1,2,6,7,8,10,14,15],[0,1,2,6,7,8,11,12,13],[0,1,2,6,7,8,11,12,14],[0,1,2,6,7,8,11,12,15],[0,1,2,6,7,8,11,13,14],[0,1,2,6,7,8,11,13,15],[0,1,2,6,7,8,11,14,15],[0,1,2,6,7,8,12,13,14],[0,1,2,6,7,8,12,13,15],[0,1,2,6,7,8,12,14,15],[0,1,2,6,7,8,13,14,15],[0,1,2,6,7,9,10,11,12],[0,1,2,6,7,9,10,11,13],[0,1,2,6,7,9,10,11,14],[0,1,2,6,7,9,10,11,15],[0,1,2,6,7,9,10,12,13],[0,1,2,6,7,9,10,12,14],[0,1,2,6,7,9,10,12,15],[0,1,2,6,7,9,10,13,14],[0,1,2,6,7,9,10,13,15],[0,1,2,6,7,9,10,14,15],[0,1,2,6,7,9,11,12,13],[0,1,2,6,7,9,11,12,14],[0,1,2,6,7,9,11,12,15],[0,1,2,6,7,9,11,13,14],[0,1,2,6,7,9,11,13,15],[0,1,2,6,7,9,11,14,15],[0,1,2,6,7,9,12,13,14],[0,1,2,6,7,9,12,13,15],[0,1,2,6,7,9,12,14,15],[0,1,2,6,7,9,13,14,15],[0,1,2,6,7,10,11,12,13],[0,1,2,6,7,10,11,12,14],[0,1,2,6,7,10,11,12,15],[0,1,2,6,7,10,11,13,14],[0,1,2,6,7,10,11,13,15],[0,1,2,6,7,10,11,14,15],[0,1,2,6,7,10,12,13,14],[0,1,2,6,7,10,12,13,15],[0,1,2,6,7,10,12,14,15],[0,1,2,6,7,10,13,14,15],[0,1,2,6,7,11,12,13,14],[0,1,2,6,7,11,12,13,15],[0,1,2,6,7,11,12,14,15],[0,1,2,6,7,11,13,14,15],[0,1,2,6,7,12,13,14,15],[0,1,2,6,8,9,10,11,12],[0,1,2,6,8,9,10,11,13],[0,1,2,6,8,9,10,11,14],[0,1,2,6,8,9,10,11,15],[0,1,2,6,8,9,10,12,13],[0,1,2,6,8,9,10,12,14],[0,1,2,6,8,9,10,12,15],[0,1,2,6,8,9,10,13,14],[0,1,2,6,8,9,10,13,15],[0,1,2,6,8,9,10,14,15],[0,1,2,6,8,9,11,12,13],[0,1,2,6,8,9,11,12,14],[0,1,2,6,8,9,11,12,15],[0,1,2,6,8,9,11,13,14],[0,1,2,6,8,9,11,13,15],[0,1,2,6,8,9,11,14,15],[0,1,2,6,8,9,12,13,14],[0,1,2,6,8,9,12,13,15],[0,1,2,6,8,9,12,14,15],[0,1,2,6,8,9,13,14,15],[0,1,2,6,8,10,11,12,13],[0,1,2,6,8,10,11,12,14],[0,1,2,6,8,10,11,12,15],[0,1,2,6,8,10,11,13,14],[0,1,2,6,8,10,11,13,15],[0,1,2,6,8,10,11,14,15],[0,1,2,6,8,10,12,13,14],[0,1,2,6,8,10,12,13,15],[0,1,2,6,8,10,12,14,15],[0,1,2,6,8,10,13,14,15],[0,1,2,6,8,11,12,13,14],[0,1,2,6,8,11,12,13,15],[0,1,2,6,8,11,12,14,15],[0,1,2,6,8,11,13,14,15],[0,1,2,6,8,12,13,14,15],[0,1,2,6,9,10,11,12,13],[0,1,2,6,9,10,11,12,14],[0,1,2,6,9,10,11,12,15],[0,1,2,6,9,10,11,13,14],[0,1,2,6,9,10,11,13,15],[0,1,2,6,9,10,11,14,15],[0,1,2,6,9,10,12,13,14],[0,1,2,6,9,10,12,13,15],[0,1,2,6,9,10,12,14,15],[0,1,2,6,9,10,13,14,15],[0,1,2,6,9,11,12,13,14],[0,1,2,6,9,11,12,13,15],[0,1,2,6,9,11,12,14,15],[0,1,2,6,9,11,13,14,15],[0,1,2,6,9,12,13,14,15],[0,1,2,6,10,11,12,13,14],[0,1,2,6,10,11,12,13,15],[0,1,2,6,10,11,12,14,15],[0,1,2,6,10,11,13,14,15],[0,1,2,6,10,12,13,14,15],[0,1,2,6,11,12,13,14,15],[0,1,2,7,8,9,10,11,12],[0,1,2,7,8,9,10,11,13],[0,1,2,7,8,9,10,11,14],[0,1,2,7,8,9,10,11,15],[0,1,2,7,8,9,10,12,13],[0,1,2,7,8,9,10,12,14],[0,1,2,7,8,9,10,12,15],[0,1,2,7,8,9,10,13,14],[0,1,2,7,8,9,10,13,15],[0,1,2,7,8,9,10,14,15],[0,1,2,7,8,9,11,12,13],[0,1,2,7,8,9,11,12,14],[0,1,2,7,8,9,11,12,15],[0,1,2,7,8,9,11,13,14],[0,1,2,7,8,9,11,13,15],[0,1,2,7,8,9,11,14,15],[0,1,2,7,8,9,12,13,14],[0,1,2,7,8,9,12,13,15],[0,1,2,7,8,9,12,14,15],[0,1,2,7,8,9,13,14,15],[0,1,2,7,8,10,11,12,13],[0,1,2,7,8,10,11,12,14],[0,1,2,7,8,10,11,12,15],[0,1,2,7,8,10,11,13,14],[0,1,2,7,8,10,11,13,15],[0,1,2,7,8,10,11,14,15],[0,1,2,7,8,10,12,13,14],[0,1,2,7,8,10,12,13,15],[0,1,2,7,8,10,12,14,15],[0,1,2,7,8,10,13,14,15],[0,1,2,7,8,11,12,13,14],[0,1,2,7,8,11,12,13,15],[0,1,2,7,8,11,12,14,15],[0,1,2,7,8,11,13,14,15],[0,1,2,7,8,12,13,14,15],[0,1,2,7,9,10,11,12,13],[0,1,2,7,9,10,11,12,14],[0,1,2,7,9,10,11,12,15],[0,1,2,7,9,10,11,13,14],[0,1,2,7,9,10,11,13,15],[0,1,2,7,9,10,11,14,15],[0,1,2,7,9,10,12,13,14],[0,1,2,7,9,10,12,13,15],[0,1,2,7,9,10,12,14,15],[0,1,2,7,9,10,13,14,15],[0,1,2,7,9,11,12,13,14],[0,1,2,7,9,11,12,13,15],[0,1,2,7,9,11,12,14,15],[0,1,2,7,9,11,13,14,15],[0,1,2,7,9,12,13,14,15],[0,1,2,7,10,11,12,13,14],[0,1,2,7,10,11,12,13,15],[0,1,2,7,10,11,12,14,15],[0,1,2,7,10,11,13,14,15],[0,1,2,7,10,12,13,14,15],[0,1,2,7,11,12,13,14,15],[0,1,2,8,9,10,11,12,13],[0,1,2,8,9,10,11,12,14],[0,1,2,8,9,10,11,12,15],[0,1,2,8,9,10,11,13,14],[0,1,2,8,9,10,11,13,15],[0,1,2,8,9,10,11,14,15],[0,1,2,8,9,10,12,13,14],[0,1,2,8,9,10,12,13,15],[0,1,2,8,9,10,12,14,15],[0,1,2,8,9,10,13,14,15],[0,1,2,8,9,11,12,13,14],[0,1,2,8,9,11,12,13,15],[0,1,2,8,9,11,12,14,15],[0,1,2,8,9,11,13,14,15],[0,1,2,8,9,12,13,14,15],[0,1,2,8,10,11,12,13,14],[0,1,2,8,10,11,12,13,15],[0,1,2,8,10,11,12,14,15],[0,1,2,8,10,11,13,14,15],[0,1,2,8,10,12,13,14,15],[0,1,2,8,11,12,13,14,15],[0,1,2,9,10,11,12,13,14],[0,1,2,9,10,11,12,13,15],[0,1,2,9,10,11,12,14,15],[0,1,2,9,10,11,13,14,15],[0,1,2,9,10,12,13,14,15],[0,1,2,9,11,12,13,14,15],[0,1,2,10,11,12,13,14,15],[0,1,3,4,5,6,7,8,9],[0,1,3,4,5,6,7,8,10],[0,1,3,4,5,6,7,8,11],[0,1,3,4,5,6,7,8,12],[0,1,3,4,5,6,7,8,13],[0,1,3,4,5,6,7,8,14],[0,1,3,4,5,6,7,8,15],[0,1,3,4,5,6,7,9,10],[0,1,3,4,5,6,7,9,11],[0,1,3,4,5,6,7,9,12],[0,1,3,4,5,6,7,9,13],[0,1,3,4,5,6,7,9,14],[0,1,3,4,5,6,7,9,15],[0,1,3,4,5,6,7,10,11],[0,1,3,4,5,6,7,10,12],[0,1,3,4,5,6,7,10,13],[0,1,3,4,5,6,7,10,14],[0,1,3,4,5,6,7,10,15],[0,1,3,4,5,6,7,11,12],[0,1,3,4,5,6,7,11,13],[0,1,3,4,5,6,7,11,14],[0,1,3,4,5,6,7,11,15],[0,1,3,4,5,6,7,12,13],[0,1,3,4,5,6,7,12,14],[0,1,3,4,5,6,7,12,15],[0,1,3,4,5,6,7,13,14],[0,1,3,4,5,6,7,13,15],[0,1,3,4,5,6,7,14,15],[0,1,3,4,5,6,8,9,10],[0,1,3,4,5,6,8,9,11],[0,1,3,4,5,6,8,9,12],[0,1,3,4,5,6,8,9,13],[0,1,3,4,5,6,8,9,14],[0,1,3,4,5,6,8,9,15],[0,1,3,4,5,6,8,10,11],[0,1,3,4,5,6,8,10,12],[0,1,3,4,5,6,8,10,13],[0,1,3,4,5,6,8,10,14],[0,1,3,4,5,6,8,10,15],[0,1,3,4,5,6,8,11,12],[0,1,3,4,5,6,8,11,13],[0,1,3,4,5,6,8,11,14],[0,1,3,4,5,6,8,11,15],[0,1,3,4,5,6,8,12,13],[0,1,3,4,5,6,8,12,14],[0,1,3,4,5,6,8,12,15],[0,1,3,4,5,6,8,13,14],[0,1,3,4,5,6,8,13,15],[0,1,3,4,5,6,8,14,15],[0,1,3,4,5,6,9,10,11],[0,1,3,4,5,6,9,10,12],[0,1,3,4,5,6,9,10,13],[0,1,3,4,5,6,9,10,14],[0,1,3,4,5,6,9,10,15],[0,1,3,4,5,6,9,11,12],[0,1,3,4,5,6,9,11,13],[0,1,3,4,5,6,9,11,14],[0,1,3,4,5,6,9,11,15],[0,1,3,4,5,6,9,12,13],[0,1,3,4,5,6,9,12,14],[0,1,3,4,5,6,9,12,15],[0,1,3,4,5,6,9,13,14],[0,1,3,4,5,6,9,13,15],[0,1,3,4,5,6,9,14,15],[0,1,3,4,5,6,10,11,12],[0,1,3,4,5,6,10,11,13],[0,1,3,4,5,6,10,11,14],[0,1,3,4,5,6,10,11,15],[0,1,3,4,5,6,10,12,13],[0,1,3,4,5,6,10,12,14],[0,1,3,4,5,6,10,12,15],[0,1,3,4,5,6,10,13,14],[0,1,3,4,5,6,10,13,15],[0,1,3,4,5,6,10,14,15],[0,1,3,4,5,6,11,12,13],[0,1,3,4,5,6,11,12,14],[0,1,3,4,5,6,11,12,15],[0,1,3,4,5,6,11,13,14],[0,1,3,4,5,6,11,13,15],[0,1,3,4,5,6,11,14,15],[0,1,3,4,5,6,12,13,14],[0,1,3,4,5,6,12,13,15],[0,1,3,4,5,6,12,14,15],[0,1,3,4,5,6,13,14,15],[0,1,3,4,5,7,8,9,10],[0,1,3,4,5,7,8,9,11],[0,1,3,4,5,7,8,9,12],[0,1,3,4,5,7,8,9,13],[0,1,3,4,5,7,8,9,14],[0,1,3,4,5,7,8,9,15],[0,1,3,4,5,7,8,10,11],[0,1,3,4,5,7,8,10,12],[0,1,3,4,5,7,8,10,13],[0,1,3,4,5,7,8,10,14],[0,1,3,4,5,7,8,10,15],[0,1,3,4,5,7,8,11,12],[0,1,3,4,5,7,8,11,13],[0,1,3,4,5,7,8,11,14],[0,1,3,4,5,7,8,11,15],[0,1,3,4,5,7,8,12,13],[0,1,3,4,5,7,8,12,14],[0,1,3,4,5,7,8,12,15],[0,1,3,4,5,7,8,13,14],[0,1,3,4,5,7,8,13,15],[0,1,3,4,5,7,8,14,15],[0,1,3,4,5,7,9,10,11],[0,1,3,4,5,7,9,10,12],[0,1,3,4,5,7,9,10,13],[0,1,3,4,5,7,9,10,14],[0,1,3,4,5,7,9,10,15],[0,1,3,4,5,7,9,11,12],[0,1,3,4,5,7,9,11,13],[0,1,3,4,5,7,9,11,14],[0,1,3,4,5,7,9,11,15],[0,1,3,4,5,7,9,12,13],[0,1,3,4,5,7,9,12,14],[0,1,3,4,5,7,9,12,15],[0,1,3,4,5,7,9,13,14],[0,1,3,4,5,7,9,13,15],[0,1,3,4,5,7,9,14,15],[0,1,3,4,5,7,10,11,12],[0,1,3,4,5,7,10,11,13],[0,1,3,4,5,7,10,11,14],[0,1,3,4,5,7,10,11,15],[0,1,3,4,5,7,10,12,13],[0,1,3,4,5,7,10,12,14],[0,1,3,4,5,7,10,12,15],[0,1,3,4,5,7,10,13,14],[0,1,3,4,5,7,10,13,15],[0,1,3,4,5,7,10,14,15],[0,1,3,4,5,7,11,12,13],[0,1,3,4,5,7,11,12,14],[0,1,3,4,5,7,11,12,15],[0,1,3,4,5,7,11,13,14],[0,1,3,4,5,7,11,13,15],[0,1,3,4,5,7,11,14,15],[0,1,3,4,5,7,12,13,14],[0,1,3,4,5,7,12,13,15],[0,1,3,4,5,7,12,14,15],[0,1,3,4,5,7,13,14,15],[0,1,3,4,5,8,9,10,11],[0,1,3,4,5,8,9,10,12],[0,1,3,4,5,8,9,10,13],[0,1,3,4,5,8,9,10,14],[0,1,3,4,5,8,9,10,15],[0,1,3,4,5,8,9,11,12],[0,1,3,4,5,8,9,11,13],[0,1,3,4,5,8,9,11,14],[0,1,3,4,5,8,9,11,15],[0,1,3,4,5,8,9,12,13],[0,1,3,4,5,8,9,12,14],[0,1,3,4,5,8,9,12,15],[0,1,3,4,5,8,9,13,14],[0,1,3,4,5,8,9,13,15],[0,1,3,4,5,8,9,14,15],[0,1,3,4,5,8,10,11,12],[0,1,3,4,5,8,10,11,13],[0,1,3,4,5,8,10,11,14],[0,1,3,4,5,8,10,11,15],[0,1,3,4,5,8,10,12,13],[0,1,3,4,5,8,10,12,14],[0,1,3,4,5,8,10,12,15],[0,1,3,4,5,8,10,13,14],[0,1,3,4,5,8,10,13,15],[0,1,3,4,5,8,10,14,15],[0,1,3,4,5,8,11,12,13],[0,1,3,4,5,8,11,12,14],[0,1,3,4,5,8,11,12,15],[0,1,3,4,5,8,11,13,14],[0,1,3,4,5,8,11,13,15],[0,1,3,4,5,8,11,14,15],[0,1,3,4,5,8,12,13,14],[0,1,3,4,5,8,12,13,15],[0,1,3,4,5,8,12,14,15],[0,1,3,4,5,8,13,14,15],[0,1,3,4,5,9,10,11,12],[0,1,3,4,5,9,10,11,13],[0,1,3,4,5,9,10,11,14],[0,1,3,4,5,9,10,11,15],[0,1,3,4,5,9,10,12,13],[0,1,3,4,5,9,10,12,14],[0,1,3,4,5,9,10,12,15],[0,1,3,4,5,9,10,13,14],[0,1,3,4,5,9,10,13,15],[0,1,3,4,5,9,10,14,15],[0,1,3,4,5,9,11,12,13],[0,1,3,4,5,9,11,12,14],[0,1,3,4,5,9,11,12,15],[0,1,3,4,5,9,11,13,14],[0,1,3,4,5,9,11,13,15],[0,1,3,4,5,9,11,14,15],[0,1,3,4,5,9,12,13,14],[0,1,3,4,5,9,12,13,15],[0,1,3,4,5,9,12,14,15],[0,1,3,4,5,9,13,14,15],[0,1,3,4,5,10,11,12,13],[0,1,3,4,5,10,11,12,14],[0,1,3,4,5,10,11,12,15],[0,1,3,4,5,10,11,13,14],[0,1,3,4,5,10,11,13,15],[0,1,3,4,5,10,11,14,15],[0,1,3,4,5,10,12,13,14],[0,1,3,4,5,10,12,13,15],[0,1,3,4,5,10,12,14,15],[0,1,3,4,5,10,13,14,15],[0,1,3,4,5,11,12,13,14],[0,1,3,4,5,11,12,13,15],[0,1,3,4,5,11,12,14,15],[0,1,3,4,5,11,13,14,15],[0,1,3,4,5,12,13,14,15],[0,1,3,4,6,7,8,9,10],[0,1,3,4,6,7,8,9,11],[0,1,3,4,6,7,8,9,12],[0,1,3,4,6,7,8,9,13],[0,1,3,4,6,7,8,9,14],[0,1,3,4,6,7,8,9,15],[0,1,3,4,6,7,8,10,11],[0,1,3,4,6,7,8,10,12],[0,1,3,4,6,7,8,10,13],[0,1,3,4,6,7,8,10,14],[0,1,3,4,6,7,8,10,15],[0,1,3,4,6,7,8,11,12],[0,1,3,4,6,7,8,11,13],[0,1,3,4,6,7,8,11,14],[0,1,3,4,6,7,8,11,15],[0,1,3,4,6,7,8,12,13],[0,1,3,4,6,7,8,12,14],[0,1,3,4,6,7,8,12,15],[0,1,3,4,6,7,8,13,14],[0,1,3,4,6,7,8,13,15],[0,1,3,4,6,7,8,14,15],[0,1,3,4,6,7,9,10,11],[0,1,3,4,6,7,9,10,12],[0,1,3,4,6,7,9,10,13],[0,1,3,4,6,7,9,10,14],[0,1,3,4,6,7,9,10,15],[0,1,3,4,6,7,9,11,12],[0,1,3,4,6,7,9,11,13],[0,1,3,4,6,7,9,11,14],[0,1,3,4,6,7,9,11,15],[0,1,3,4,6,7,9,12,13],[0,1,3,4,6,7,9,12,14],[0,1,3,4,6,7,9,12,15],[0,1,3,4,6,7,9,13,14],[0,1,3,4,6,7,9,13,15],[0,1,3,4,6,7,9,14,15],[0,1,3,4,6,7,10,11,12],[0,1,3,4,6,7,10,11,13],[0,1,3,4,6,7,10,11,14],[0,1,3,4,6,7,10,11,15],[0,1,3,4,6,7,10,12,13],[0,1,3,4,6,7,10,12,14],[0,1,3,4,6,7,10,12,15],[0,1,3,4,6,7,10,13,14],[0,1,3,4,6,7,10,13,15],[0,1,3,4,6,7,10,14,15],[0,1,3,4,6,7,11,12,13],[0,1,3,4,6,7,11,12,14],[0,1,3,4,6,7,11,12,15],[0,1,3,4,6,7,11,13,14],[0,1,3,4,6,7,11,13,15],[0,1,3,4,6,7,11,14,15],[0,1,3,4,6,7,12,13,14],[0,1,3,4,6,7,12,13,15],[0,1,3,4,6,7,12,14,15],[0,1,3,4,6,7,13,14,15],[0,1,3,4,6,8,9,10,11],[0,1,3,4,6,8,9,10,12],[0,1,3,4,6,8,9,10,13],[0,1,3,4,6,8,9,10,14],[0,1,3,4,6,8,9,10,15],[0,1,3,4,6,8,9,11,12],[0,1,3,4,6,8,9,11,13],[0,1,3,4,6,8,9,11,14],[0,1,3,4,6,8,9,11,15],[0,1,3,4,6,8,9,12,13],[0,1,3,4,6,8,9,12,14],[0,1,3,4,6,8,9,12,15],[0,1,3,4,6,8,9,13,14],[0,1,3,4,6,8,9,13,15],[0,1,3,4,6,8,9,14,15],[0,1,3,4,6,8,10,11,12],[0,1,3,4,6,8,10,11,13],[0,1,3,4,6,8,10,11,14],[0,1,3,4,6,8,10,11,15],[0,1,3,4,6,8,10,12,13],[0,1,3,4,6,8,10,12,14],[0,1,3,4,6,8,10,12,15],[0,1,3,4,6,8,10,13,14],[0,1,3,4,6,8,10,13,15],[0,1,3,4,6,8,10,14,15],[0,1,3,4,6,8,11,12,13],[0,1,3,4,6,8,11,12,14],[0,1,3,4,6,8,11,12,15],[0,1,3,4,6,8,11,13,14],[0,1,3,4,6,8,11,13,15],[0,1,3,4,6,8,11,14,15],[0,1,3,4,6,8,12,13,14],[0,1,3,4,6,8,12,13,15],[0,1,3,4,6,8,12,14,15],[0,1,3,4,6,8,13,14,15],[0,1,3,4,6,9,10,11,12],[0,1,3,4,6,9,10,11,13],[0,1,3,4,6,9,10,11,14],[0,1,3,4,6,9,10,11,15],[0,1,3,4,6,9,10,12,13],[0,1,3,4,6,9,10,12,14],[0,1,3,4,6,9,10,12,15],[0,1,3,4,6,9,10,13,14],[0,1,3,4,6,9,10,13,15],[0,1,3,4,6,9,10,14,15],[0,1,3,4,6,9,11,12,13],[0,1,3,4,6,9,11,12,14],[0,1,3,4,6,9,11,12,15],[0,1,3,4,6,9,11,13,14],[0,1,3,4,6,9,11,13,15],[0,1,3,4,6,9,11,14,15],[0,1,3,4,6,9,12,13,14],[0,1,3,4,6,9,12,13,15],[0,1,3,4,6,9,12,14,15],[0,1,3,4,6,9,13,14,15],[0,1,3,4,6,10,11,12,13],[0,1,3,4,6,10,11,12,14],[0,1,3,4,6,10,11,12,15],[0,1,3,4,6,10,11,13,14],[0,1,3,4,6,10,11,13,15],[0,1,3,4,6,10,11,14,15],[0,1,3,4,6,10,12,13,14],[0,1,3,4,6,10,12,13,15],[0,1,3,4,6,10,12,14,15],[0,1,3,4,6,10,13,14,15],[0,1,3,4,6,11,12,13,14],[0,1,3,4,6,11,12,13,15],[0,1,3,4,6,11,12,14,15],[0,1,3,4,6,11,13,14,15],[0,1,3,4,6,12,13,14,15],[0,1,3,4,7,8,9,10,11],[0,1,3,4,7,8,9,10,12],[0,1,3,4,7,8,9,10,13],[0,1,3,4,7,8,9,10,14],[0,1,3,4,7,8,9,10,15],[0,1,3,4,7,8,9,11,12],[0,1,3,4,7,8,9,11,13],[0,1,3,4,7,8,9,11,14],[0,1,3,4,7,8,9,11,15],[0,1,3,4,7,8,9,12,13],[0,1,3,4,7,8,9,12,14],[0,1,3,4,7,8,9,12,15],[0,1,3,4,7,8,9,13,14],[0,1,3,4,7,8,9,13,15],[0,1,3,4,7,8,9,14,15],[0,1,3,4,7,8,10,11,12],[0,1,3,4,7,8,10,11,13],[0,1,3,4,7,8,10,11,14],[0,1,3,4,7,8,10,11,15],[0,1,3,4,7,8,10,12,13],[0,1,3,4,7,8,10,12,14],[0,1,3,4,7,8,10,12,15],[0,1,3,4,7,8,10,13,14],[0,1,3,4,7,8,10,13,15],[0,1,3,4,7,8,10,14,15],[0,1,3,4,7,8,11,12,13],[0,1,3,4,7,8,11,12,14],[0,1,3,4,7,8,11,12,15],[0,1,3,4,7,8,11,13,14],[0,1,3,4,7,8,11,13,15],[0,1,3,4,7,8,11,14,15],[0,1,3,4,7,8,12,13,14],[0,1,3,4,7,8,12,13,15],[0,1,3,4,7,8,12,14,15],[0,1,3,4,7,8,13,14,15],[0,1,3,4,7,9,10,11,12],[0,1,3,4,7,9,10,11,13],[0,1,3,4,7,9,10,11,14],[0,1,3,4,7,9,10,11,15],[0,1,3,4,7,9,10,12,13],[0,1,3,4,7,9,10,12,14],[0,1,3,4,7,9,10,12,15],[0,1,3,4,7,9,10,13,14],[0,1,3,4,7,9,10,13,15],[0,1,3,4,7,9,10,14,15],[0,1,3,4,7,9,11,12,13],[0,1,3,4,7,9,11,12,14],[0,1,3,4,7,9,11,12,15],[0,1,3,4,7,9,11,13,14],[0,1,3,4,7,9,11,13,15],[0,1,3,4,7,9,11,14,15],[0,1,3,4,7,9,12,13,14],[0,1,3,4,7,9,12,13,15],[0,1,3,4,7,9,12,14,15],[0,1,3,4,7,9,13,14,15],[0,1,3,4,7,10,11,12,13],[0,1,3,4,7,10,11,12,14],[0,1,3,4,7,10,11,12,15],[0,1,3,4,7,10,11,13,14],[0,1,3,4,7,10,11,13,15],[0,1,3,4,7,10,11,14,15],[0,1,3,4,7,10,12,13,14],[0,1,3,4,7,10,12,13,15],[0,1,3,4,7,10,12,14,15],[0,1,3,4,7,10,13,14,15],[0,1,3,4,7,11,12,13,14],[0,1,3,4,7,11,12,13,15],[0,1,3,4,7,11,12,14,15],[0,1,3,4,7,11,13,14,15],[0,1,3,4,7,12,13,14,15],[0,1,3,4,8,9,10,11,12],[0,1,3,4,8,9,10,11,13],[0,1,3,4,8,9,10,11,14],[0,1,3,4,8,9,10,11,15],[0,1,3,4,8,9,10,12,13],[0,1,3,4,8,9,10,12,14],[0,1,3,4,8,9,10,12,15],[0,1,3,4,8,9,10,13,14],[0,1,3,4,8,9,10,13,15],[0,1,3,4,8,9,10,14,15],[0,1,3,4,8,9,11,12,13],[0,1,3,4,8,9,11,12,14],[0,1,3,4,8,9,11,12,15],[0,1,3,4,8,9,11,13,14],[0,1,3,4,8,9,11,13,15],[0,1,3,4,8,9,11,14,15],[0,1,3,4,8,9,12,13,14],[0,1,3,4,8,9,12,13,15],[0,1,3,4,8,9,12,14,15],[0,1,3,4,8,9,13,14,15],[0,1,3,4,8,10,11,12,13],[0,1,3,4,8,10,11,12,14],[0,1,3,4,8,10,11,12,15],[0,1,3,4,8,10,11,13,14],[0,1,3,4,8,10,11,13,15],[0,1,3,4,8,10,11,14,15],[0,1,3,4,8,10,12,13,14],[0,1,3,4,8,10,12,13,15],[0,1,3,4,8,10,12,14,15],[0,1,3,4,8,10,13,14,15],[0,1,3,4,8,11,12,13,14],[0,1,3,4,8,11,12,13,15],[0,1,3,4,8,11,12,14,15],[0,1,3,4,8,11,13,14,15],[0,1,3,4,8,12,13,14,15],[0,1,3,4,9,10,11,12,13],[0,1,3,4,9,10,11,12,14],[0,1,3,4,9,10,11,12,15],[0,1,3,4,9,10,11,13,14],[0,1,3,4,9,10,11,13,15],[0,1,3,4,9,10,11,14,15],[0,1,3,4,9,10,12,13,14],[0,1,3,4,9,10,12,13,15],[0,1,3,4,9,10,12,14,15],[0,1,3,4,9,10,13,14,15],[0,1,3,4,9,11,12,13,14],[0,1,3,4,9,11,12,13,15],[0,1,3,4,9,11,12,14,15],[0,1,3,4,9,11,13,14,15],[0,1,3,4,9,12,13,14,15],[0,1,3,4,10,11,12,13,14],[0,1,3,4,10,11,12,13,15],[0,1,3,4,10,11,12,14,15],[0,1,3,4,10,11,13,14,15],[0,1,3,4,10,12,13,14,15],[0,1,3,4,11,12,13,14,15],[0,1,3,5,6,7,8,9,10],[0,1,3,5,6,7,8,9,11],[0,1,3,5,6,7,8,9,12],[0,1,3,5,6,7,8,9,13],[0,1,3,5,6,7,8,9,14],[0,1,3,5,6,7,8,9,15],[0,1,3,5,6,7,8,10,11],[0,1,3,5,6,7,8,10,12],[0,1,3,5,6,7,8,10,13],[0,1,3,5,6,7,8,10,14],[0,1,3,5,6,7,8,10,15],[0,1,3,5,6,7,8,11,12],[0,1,3,5,6,7,8,11,13],[0,1,3,5,6,7,8,11,14],[0,1,3,5,6,7,8,11,15],[0,1,3,5,6,7,8,12,13],[0,1,3,5,6,7,8,12,14],[0,1,3,5,6,7,8,12,15],[0,1,3,5,6,7,8,13,14],[0,1,3,5,6,7,8,13,15],[0,1,3,5,6,7,8,14,15],[0,1,3,5,6,7,9,10,11],[0,1,3,5,6,7,9,10,12],[0,1,3,5,6,7,9,10,13],[0,1,3,5,6,7,9,10,14],[0,1,3,5,6,7,9,10,15],[0,1,3,5,6,7,9,11,12],[0,1,3,5,6,7,9,11,13],[0,1,3,5,6,7,9,11,14],[0,1,3,5,6,7,9,11,15],[0,1,3,5,6,7,9,12,13],[0,1,3,5,6,7,9,12,14],[0,1,3,5,6,7,9,12,15],[0,1,3,5,6,7,9,13,14],[0,1,3,5,6,7,9,13,15],[0,1,3,5,6,7,9,14,15],[0,1,3,5,6,7,10,11,12],[0,1,3,5,6,7,10,11,13],[0,1,3,5,6,7,10,11,14],[0,1,3,5,6,7,10,11,15],[0,1,3,5,6,7,10,12,13],[0,1,3,5,6,7,10,12,14],[0,1,3,5,6,7,10,12,15],[0,1,3,5,6,7,10,13,14],[0,1,3,5,6,7,10,13,15],[0,1,3,5,6,7,10,14,15],[0,1,3,5,6,7,11,12,13],[0,1,3,5,6,7,11,12,14],[0,1,3,5,6,7,11,12,15],[0,1,3,5,6,7,11,13,14],[0,1,3,5,6,7,11,13,15],[0,1,3,5,6,7,11,14,15],[0,1,3,5,6,7,12,13,14],[0,1,3,5,6,7,12,13,15],[0,1,3,5,6,7,12,14,15],[0,1,3,5,6,7,13,14,15],[0,1,3,5,6,8,9,10,11],[0,1,3,5,6,8,9,10,12],[0,1,3,5,6,8,9,10,13],[0,1,3,5,6,8,9,10,14],[0,1,3,5,6,8,9,10,15],[0,1,3,5,6,8,9,11,12],[0,1,3,5,6,8,9,11,13],[0,1,3,5,6,8,9,11,14],[0,1,3,5,6,8,9,11,15],[0,1,3,5,6,8,9,12,13],[0,1,3,5,6,8,9,12,14],[0,1,3,5,6,8,9,12,15],[0,1,3,5,6,8,9,13,14],[0,1,3,5,6,8,9,13,15],[0,1,3,5,6,8,9,14,15],[0,1,3,5,6,8,10,11,12],[0,1,3,5,6,8,10,11,13],[0,1,3,5,6,8,10,11,14],[0,1,3,5,6,8,10,11,15],[0,1,3,5,6,8,10,12,13],[0,1,3,5,6,8,10,12,14],[0,1,3,5,6,8,10,12,15],[0,1,3,5,6,8,10,13,14],[0,1,3,5,6,8,10,13,15],[0,1,3,5,6,8,10,14,15],[0,1,3,5,6,8,11,12,13],[0,1,3,5,6,8,11,12,14],[0,1,3,5,6,8,11,12,15],[0,1,3,5,6,8,11,13,14],[0,1,3,5,6,8,11,13,15],[0,1,3,5,6,8,11,14,15],[0,1,3,5,6,8,12,13,14],[0,1,3,5,6,8,12,13,15],[0,1,3,5,6,8,12,14,15],[0,1,3,5,6,8,13,14,15],[0,1,3,5,6,9,10,11,12],[0,1,3,5,6,9,10,11,13],[0,1,3,5,6,9,10,11,14],[0,1,3,5,6,9,10,11,15],[0,1,3,5,6,9,10,12,13],[0,1,3,5,6,9,10,12,14],[0,1,3,5,6,9,10,12,15],[0,1,3,5,6,9,10,13,14],[0,1,3,5,6,9,10,13,15],[0,1,3,5,6,9,10,14,15],[0,1,3,5,6,9,11,12,13],[0,1,3,5,6,9,11,12,14],[0,1,3,5,6,9,11,12,15],[0,1,3,5,6,9,11,13,14],[0,1,3,5,6,9,11,13,15],[0,1,3,5,6,9,11,14,15],[0,1,3,5,6,9,12,13,14],[0,1,3,5,6,9,12,13,15],[0,1,3,5,6,9,12,14,15],[0,1,3,5,6,9,13,14,15],[0,1,3,5,6,10,11,12,13],[0,1,3,5,6,10,11,12,14],[0,1,3,5,6,10,11,12,15],[0,1,3,5,6,10,11,13,14],[0,1,3,5,6,10,11,13,15],[0,1,3,5,6,10,11,14,15],[0,1,3,5,6,10,12,13,14],[0,1,3,5,6,10,12,13,15],[0,1,3,5,6,10,12,14,15],[0,1,3,5,6,10,13,14,15],[0,1,3,5,6,11,12,13,14],[0,1,3,5,6,11,12,13,15],[0,1,3,5,6,11,12,14,15],[0,1,3,5,6,11,13,14,15],[0,1,3,5,6,12,13,14,15],[0,1,3,5,7,8,9,10,11],[0,1,3,5,7,8,9,10,12],[0,1,3,5,7,8,9,10,13],[0,1,3,5,7,8,9,10,14],[0,1,3,5,7,8,9,10,15],[0,1,3,5,7,8,9,11,12],[0,1,3,5,7,8,9,11,13],[0,1,3,5,7,8,9,11,14],[0,1,3,5,7,8,9,11,15],[0,1,3,5,7,8,9,12,13],[0,1,3,5,7,8,9,12,14],[0,1,3,5,7,8,9,12,15],[0,1,3,5,7,8,9,13,14],[0,1,3,5,7,8,9,13,15],[0,1,3,5,7,8,9,14,15],[0,1,3,5,7,8,10,11,12],[0,1,3,5,7,8,10,11,13],[0,1,3,5,7,8,10,11,14],[0,1,3,5,7,8,10,11,15],[0,1,3,5,7,8,10,12,13],[0,1,3,5,7,8,10,12,14],[0,1,3,5,7,8,10,12,15],[0,1,3,5,7,8,10,13,14],[0,1,3,5,7,8,10,13,15],[0,1,3,5,7,8,10,14,15],[0,1,3,5,7,8,11,12,13],[0,1,3,5,7,8,11,12,14],[0,1,3,5,7,8,11,12,15],[0,1,3,5,7,8,11,13,14],[0,1,3,5,7,8,11,13,15],[0,1,3,5,7,8,11,14,15],[0,1,3,5,7,8,12,13,14],[0,1,3,5,7,8,12,13,15],[0,1,3,5,7,8,12,14,15],[0,1,3,5,7,8,13,14,15],[0,1,3,5,7,9,10,11,12],[0,1,3,5,7,9,10,11,13],[0,1,3,5,7,9,10,11,14],[0,1,3,5,7,9,10,11,15],[0,1,3,5,7,9,10,12,13],[0,1,3,5,7,9,10,12,14],[0,1,3,5,7,9,10,12,15],[0,1,3,5,7,9,10,13,14],[0,1,3,5,7,9,10,13,15],[0,1,3,5,7,9,10,14,15],[0,1,3,5,7,9,11,12,13],[0,1,3,5,7,9,11,12,14],[0,1,3,5,7,9,11,12,15],[0,1,3,5,7,9,11,13,14],[0,1,3,5,7,9,11,13,15],[0,1,3,5,7,9,11,14,15],[0,1,3,5,7,9,12,13,14],[0,1,3,5,7,9,12,13,15],[0,1,3,5,7,9,12,14,15],[0,1,3,5,7,9,13,14,15],[0,1,3,5,7,10,11,12,13],[0,1,3,5,7,10,11,12,14],[0,1,3,5,7,10,11,12,15],[0,1,3,5,7,10,11,13,14],[0,1,3,5,7,10,11,13,15],[0,1,3,5,7,10,11,14,15],[0,1,3,5,7,10,12,13,14],[0,1,3,5,7,10,12,13,15],[0,1,3,5,7,10,12,14,15],[0,1,3,5,7,10,13,14,15],[0,1,3,5,7,11,12,13,14],[0,1,3,5,7,11,12,13,15],[0,1,3,5,7,11,12,14,15],[0,1,3,5,7,11,13,14,15],[0,1,3,5,7,12,13,14,15],[0,1,3,5,8,9,10,11,12],[0,1,3,5,8,9,10,11,13],[0,1,3,5,8,9,10,11,14],[0,1,3,5,8,9,10,11,15],[0,1,3,5,8,9,10,12,13],[0,1,3,5,8,9,10,12,14],[0,1,3,5,8,9,10,12,15],[0,1,3,5,8,9,10,13,14],[0,1,3,5,8,9,10,13,15],[0,1,3,5,8,9,10,14,15],[0,1,3,5,8,9,11,12,13],[0,1,3,5,8,9,11,12,14],[0,1,3,5,8,9,11,12,15],[0,1,3,5,8,9,11,13,14],[0,1,3,5,8,9,11,13,15],[0,1,3,5,8,9,11,14,15],[0,1,3,5,8,9,12,13,14],[0,1,3,5,8,9,12,13,15],[0,1,3,5,8,9,12,14,15],[0,1,3,5,8,9,13,14,15],[0,1,3,5,8,10,11,12,13],[0,1,3,5,8,10,11,12,14],[0,1,3,5,8,10,11,12,15],[0,1,3,5,8,10,11,13,14],[0,1,3,5,8,10,11,13,15],[0,1,3,5,8,10,11,14,15],[0,1,3,5,8,10,12,13,14],[0,1,3,5,8,10,12,13,15],[0,1,3,5,8,10,12,14,15],[0,1,3,5,8,10,13,14,15],[0,1,3,5,8,11,12,13,14],[0,1,3,5,8,11,12,13,15],[0,1,3,5,8,11,12,14,15],[0,1,3,5,8,11,13,14,15],[0,1,3,5,8,12,13,14,15],[0,1,3,5,9,10,11,12,13],[0,1,3,5,9,10,11,12,14],[0,1,3,5,9,10,11,12,15],[0,1,3,5,9,10,11,13,14],[0,1,3,5,9,10,11,13,15],[0,1,3,5,9,10,11,14,15],[0,1,3,5,9,10,12,13,14],[0,1,3,5,9,10,12,13,15],[0,1,3,5,9,10,12,14,15],[0,1,3,5,9,10,13,14,15],[0,1,3,5,9,11,12,13,14],[0,1,3,5,9,11,12,13,15],[0,1,3,5,9,11,12,14,15],[0,1,3,5,9,11,13,14,15],[0,1,3,5,9,12,13,14,15],[0,1,3,5,10,11,12,13,14],[0,1,3,5,10,11,12,13,15],[0,1,3,5,10,11,12,14,15],[0,1,3,5,10,11,13,14,15],[0,1,3,5,10,12,13,14,15],[0,1,3,5,11,12,13,14,15],[0,1,3,6,7,8,9,10,11],[0,1,3,6,7,8,9,10,12],[0,1,3,6,7,8,9,10,13],[0,1,3,6,7,8,9,10,14],[0,1,3,6,7,8,9,10,15],[0,1,3,6,7,8,9,11,12],[0,1,3,6,7,8,9,11,13],[0,1,3,6,7,8,9,11,14],[0,1,3,6,7,8,9,11,15],[0,1,3,6,7,8,9,12,13],[0,1,3,6,7,8,9,12,14],[0,1,3,6,7,8,9,12,15],[0,1,3,6,7,8,9,13,14],[0,1,3,6,7,8,9,13,15],[0,1,3,6,7,8,9,14,15],[0,1,3,6,7,8,10,11,12],[0,1,3,6,7,8,10,11,13],[0,1,3,6,7,8,10,11,14],[0,1,3,6,7,8,10,11,15],[0,1,3,6,7,8,10,12,13],[0,1,3,6,7,8,10,12,14],[0,1,3,6,7,8,10,12,15],[0,1,3,6,7,8,10,13,14],[0,1,3,6,7,8,10,13,15],[0,1,3,6,7,8,10,14,15],[0,1,3,6,7,8,11,12,13],[0,1,3,6,7,8,11,12,14],[0,1,3,6,7,8,11,12,15],[0,1,3,6,7,8,11,13,14],[0,1,3,6,7,8,11,13,15],[0,1,3,6,7,8,11,14,15],[0,1,3,6,7,8,12,13,14],[0,1,3,6,7,8,12,13,15],[0,1,3,6,7,8,12,14,15],[0,1,3,6,7,8,13,14,15],[0,1,3,6,7,9,10,11,12],[0,1,3,6,7,9,10,11,13],[0,1,3,6,7,9,10,11,14],[0,1,3,6,7,9,10,11,15],[0,1,3,6,7,9,10,12,13],[0,1,3,6,7,9,10,12,14],[0,1,3,6,7,9,10,12,15],[0,1,3,6,7,9,10,13,14],[0,1,3,6,7,9,10,13,15],[0,1,3,6,7,9,10,14,15],[0,1,3,6,7,9,11,12,13],[0,1,3,6,7,9,11,12,14],[0,1,3,6,7,9,11,12,15],[0,1,3,6,7,9,11,13,14],[0,1,3,6,7,9,11,13,15],[0,1,3,6,7,9,11,14,15],[0,1,3,6,7,9,12,13,14],[0,1,3,6,7,9,12,13,15],[0,1,3,6,7,9,12,14,15],[0,1,3,6,7,9,13,14,15],[0,1,3,6,7,10,11,12,13],[0,1,3,6,7,10,11,12,14],[0,1,3,6,7,10,11,12,15],[0,1,3,6,7,10,11,13,14],[0,1,3,6,7,10,11,13,15],[0,1,3,6,7,10,11,14,15],[0,1,3,6,7,10,12,13,14],[0,1,3,6,7,10,12,13,15],[0,1,3,6,7,10,12,14,15],[0,1,3,6,7,10,13,14,15],[0,1,3,6,7,11,12,13,14],[0,1,3,6,7,11,12,13,15],[0,1,3,6,7,11,12,14,15],[0,1,3,6,7,11,13,14,15],[0,1,3,6,7,12,13,14,15],[0,1,3,6,8,9,10,11,12],[0,1,3,6,8,9,10,11,13],[0,1,3,6,8,9,10,11,14],[0,1,3,6,8,9,10,11,15],[0,1,3,6,8,9,10,12,13],[0,1,3,6,8,9,10,12,14],[0,1,3,6,8,9,10,12,15],[0,1,3,6,8,9,10,13,14],[0,1,3,6,8,9,10,13,15],[0,1,3,6,8,9,10,14,15],[0,1,3,6,8,9,11,12,13],[0,1,3,6,8,9,11,12,14],[0,1,3,6,8,9,11,12,15],[0,1,3,6,8,9,11,13,14],[0,1,3,6,8,9,11,13,15],[0,1,3,6,8,9,11,14,15],[0,1,3,6,8,9,12,13,14],[0,1,3,6,8,9,12,13,15],[0,1,3,6,8,9,12,14,15],[0,1,3,6,8,9,13,14,15],[0,1,3,6,8,10,11,12,13],[0,1,3,6,8,10,11,12,14],[0,1,3,6,8,10,11,12,15],[0,1,3,6,8,10,11,13,14],[0,1,3,6,8,10,11,13,15],[0,1,3,6,8,10,11,14,15],[0,1,3,6,8,10,12,13,14],[0,1,3,6,8,10,12,13,15],[0,1,3,6,8,10,12,14,15],[0,1,3,6,8,10,13,14,15],[0,1,3,6,8,11,12,13,14],[0,1,3,6,8,11,12,13,15],[0,1,3,6,8,11,12,14,15],[0,1,3,6,8,11,13,14,15],[0,1,3,6,8,12,13,14,15],[0,1,3,6,9,10,11,12,13],[0,1,3,6,9,10,11,12,14],[0,1,3,6,9,10,11,12,15],[0,1,3,6,9,10,11,13,14],[0,1,3,6,9,10,11,13,15],[0,1,3,6,9,10,11,14,15],[0,1,3,6,9,10,12,13,14],[0,1,3,6,9,10,12,13,15],[0,1,3,6,9,10,12,14,15],[0,1,3,6,9,10,13,14,15],[0,1,3,6,9,11,12,13,14],[0,1,3,6,9,11,12,13,15],[0,1,3,6,9,11,12,14,15],[0,1,3,6,9,11,13,14,15],[0,1,3,6,9,12,13,14,15],[0,1,3,6,10,11,12,13,14],[0,1,3,6,10,11,12,13,15],[0,1,3,6,10,11,12,14,15],[0,1,3,6,10,11,13,14,15],[0,1,3,6,10,12,13,14,15],[0,1,3,6,11,12,13,14,15],[0,1,3,7,8,9,10,11,12],[0,1,3,7,8,9,10,11,13],[0,1,3,7,8,9,10,11,14],[0,1,3,7,8,9,10,11,15],[0,1,3,7,8,9,10,12,13],[0,1,3,7,8,9,10,12,14],[0,1,3,7,8,9,10,12,15],[0,1,3,7,8,9,10,13,14],[0,1,3,7,8,9,10,13,15],[0,1,3,7,8,9,10,14,15],[0,1,3,7,8,9,11,12,13],[0,1,3,7,8,9,11,12,14],[0,1,3,7,8,9,11,12,15],[0,1,3,7,8,9,11,13,14],[0,1,3,7,8,9,11,13,15],[0,1,3,7,8,9,11,14,15],[0,1,3,7,8,9,12,13,14],[0,1,3,7,8,9,12,13,15],[0,1,3,7,8,9,12,14,15],[0,1,3,7,8,9,13,14,15],[0,1,3,7,8,10,11,12,13],[0,1,3,7,8,10,11,12,14],[0,1,3,7,8,10,11,12,15],[0,1,3,7,8,10,11,13,14],[0,1,3,7,8,10,11,13,15],[0,1,3,7,8,10,11,14,15],[0,1,3,7,8,10,12,13,14],[0,1,3,7,8,10,12,13,15],[0,1,3,7,8,10,12,14,15],[0,1,3,7,8,10,13,14,15],[0,1,3,7,8,11,12,13,14],[0,1,3,7,8,11,12,13,15],[0,1,3,7,8,11,12,14,15],[0,1,3,7,8,11,13,14,15],[0,1,3,7,8,12,13,14,15],[0,1,3,7,9,10,11,12,13],[0,1,3,7,9,10,11,12,14],[0,1,3,7,9,10,11,12,15],[0,1,3,7,9,10,11,13,14],[0,1,3,7,9,10,11,13,15],[0,1,3,7,9,10,11,14,15],[0,1,3,7,9,10,12,13,14],[0,1,3,7,9,10,12,13,15],[0,1,3,7,9,10,12,14,15],[0,1,3,7,9,10,13,14,15],[0,1,3,7,9,11,12,13,14],[0,1,3,7,9,11,12,13,15],[0,1,3,7,9,11,12,14,15],[0,1,3,7,9,11,13,14,15],[0,1,3,7,9,12,13,14,15],[0,1,3,7,10,11,12,13,14],[0,1,3,7,10,11,12,13,15],[0,1,3,7,10,11,12,14,15],[0,1,3,7,10,11,13,14,15],[0,1,3,7,10,12,13,14,15],[0,1,3,7,11,12,13,14,15],[0,1,3,8,9,10,11,12,13],[0,1,3,8,9,10,11,12,14],[0,1,3,8,9,10,11,12,15],[0,1,3,8,9,10,11,13,14],[0,1,3,8,9,10,11,13,15],[0,1,3,8,9,10,11,14,15],[0,1,3,8,9,10,12,13,14],[0,1,3,8,9,10,12,13,15],[0,1,3,8,9,10,12,14,15],[0,1,3,8,9,10,13,14,15],[0,1,3,8,9,11,12,13,14],[0,1,3,8,9,11,12,13,15],[0,1,3,8,9,11,12,14,15],[0,1,3,8,9,11,13,14,15],[0,1,3,8,9,12,13,14,15],[0,1,3,8,10,11,12,13,14],[0,1,3,8,10,11,12,13,15],[0,1,3,8,10,11,12,14,15],[0,1,3,8,10,11,13,14,15],[0,1,3,8,10,12,13,14,15],[0,1,3,8,11,12,13,14,15],[0,1,3,9,10,11,12,13,14],[0,1,3,9,10,11,12,13,15],[0,1,3,9,10,11,12,14,15],[0,1,3,9,10,11,13,14,15],[0,1,3,9,10,12,13,14,15],[0,1,3,9,11,12,13,14,15],[0,1,3,10,11,12,13,14,15],[0,1,4,5,6,7,8,9,10],[0,1,4,5,6,7,8,9,11],[0,1,4,5,6,7,8,9,12],[0,1,4,5,6,7,8,9,13],[0,1,4,5,6,7,8,9,14],[0,1,4,5,6,7,8,9,15],[0,1,4,5,6,7,8,10,11],[0,1,4,5,6,7,8,10,12],[0,1,4,5,6,7,8,10,13],[0,1,4,5,6,7,8,10,14],[0,1,4,5,6,7,8,10,15],[0,1,4,5,6,7,8,11,12],[0,1,4,5,6,7,8,11,13],[0,1,4,5,6,7,8,11,14],[0,1,4,5,6,7,8,11,15],[0,1,4,5,6,7,8,12,13],[0,1,4,5,6,7,8,12,14],[0,1,4,5,6,7,8,12,15],[0,1,4,5,6,7,8,13,14],[0,1,4,5,6,7,8,13,15],[0,1,4,5,6,7,8,14,15],[0,1,4,5,6,7,9,10,11],[0,1,4,5,6,7,9,10,12],[0,1,4,5,6,7,9,10,13],[0,1,4,5,6,7,9,10,14],[0,1,4,5,6,7,9,10,15],[0,1,4,5,6,7,9,11,12],[0,1,4,5,6,7,9,11,13],[0,1,4,5,6,7,9,11,14],[0,1,4,5,6,7,9,11,15],[0,1,4,5,6,7,9,12,13],[0,1,4,5,6,7,9,12,14],[0,1,4,5,6,7,9,12,15],[0,1,4,5,6,7,9,13,14],[0,1,4,5,6,7,9,13,15],[0,1,4,5,6,7,9,14,15],[0,1,4,5,6,7,10,11,12],[0,1,4,5,6,7,10,11,13],[0,1,4,5,6,7,10,11,14],[0,1,4,5,6,7,10,11,15],[0,1,4,5,6,7,10,12,13],[0,1,4,5,6,7,10,12,14],[0,1,4,5,6,7,10,12,15],[0,1,4,5,6,7,10,13,14],[0,1,4,5,6,7,10,13,15],[0,1,4,5,6,7,10,14,15],[0,1,4,5,6,7,11,12,13],[0,1,4,5,6,7,11,12,14],[0,1,4,5,6,7,11,12,15],[0,1,4,5,6,7,11,13,14],[0,1,4,5,6,7,11,13,15],[0,1,4,5,6,7,11,14,15],[0,1,4,5,6,7,12,13,14],[0,1,4,5,6,7,12,13,15],[0,1,4,5,6,7,12,14,15],[0,1,4,5,6,7,13,14,15],[0,1,4,5,6,8,9,10,11],[0,1,4,5,6,8,9,10,12],[0,1,4,5,6,8,9,10,13],[0,1,4,5,6,8,9,10,14],[0,1,4,5,6,8,9,10,15],[0,1,4,5,6,8,9,11,12],[0,1,4,5,6,8,9,11,13],[0,1,4,5,6,8,9,11,14],[0,1,4,5,6,8,9,11,15],[0,1,4,5,6,8,9,12,13],[0,1,4,5,6,8,9,12,14],[0,1,4,5,6,8,9,12,15],[0,1,4,5,6,8,9,13,14],[0,1,4,5,6,8,9,13,15],[0,1,4,5,6,8,9,14,15],[0,1,4,5,6,8,10,11,12],[0,1,4,5,6,8,10,11,13],[0,1,4,5,6,8,10,11,14],[0,1,4,5,6,8,10,11,15],[0,1,4,5,6,8,10,12,13],[0,1,4,5,6,8,10,12,14],[0,1,4,5,6,8,10,12,15],[0,1,4,5,6,8,10,13,14],[0,1,4,5,6,8,10,13,15],[0,1,4,5,6,8,10,14,15],[0,1,4,5,6,8,11,12,13],[0,1,4,5,6,8,11,12,14],[0,1,4,5,6,8,11,12,15],[0,1,4,5,6,8,11,13,14],[0,1,4,5,6,8,11,13,15],[0,1,4,5,6,8,11,14,15],[0,1,4,5,6,8,12,13,14],[0,1,4,5,6,8,12,13,15],[0,1,4,5,6,8,12,14,15],[0,1,4,5,6,8,13,14,15],[0,1,4,5,6,9,10,11,12],[0,1,4,5,6,9,10,11,13],[0,1,4,5,6,9,10,11,14],[0,1,4,5,6,9,10,11,15],[0,1,4,5,6,9,10,12,13],[0,1,4,5,6,9,10,12,14],[0,1,4,5,6,9,10,12,15],[0,1,4,5,6,9,10,13,14],[0,1,4,5,6,9,10,13,15],[0,1,4,5,6,9,10,14,15],[0,1,4,5,6,9,11,12,13],[0,1,4,5,6,9,11,12,14],[0,1,4,5,6,9,11,12,15],[0,1,4,5,6,9,11,13,14],[0,1,4,5,6,9,11,13,15],[0,1,4,5,6,9,11,14,15],[0,1,4,5,6,9,12,13,14],[0,1,4,5,6,9,12,13,15],[0,1,4,5,6,9,12,14,15],[0,1,4,5,6,9,13,14,15],[0,1,4,5,6,10,11,12,13],[0,1,4,5,6,10,11,12,14],[0,1,4,5,6,10,11,12,15],[0,1,4,5,6,10,11,13,14],[0,1,4,5,6,10,11,13,15],[0,1,4,5,6,10,11,14,15],[0,1,4,5,6,10,12,13,14],[0,1,4,5,6,10,12,13,15],[0,1,4,5,6,10,12,14,15],[0,1,4,5,6,10,13,14,15],[0,1,4,5,6,11,12,13,14],[0,1,4,5,6,11,12,13,15],[0,1,4,5,6,11,12,14,15],[0,1,4,5,6,11,13,14,15],[0,1,4,5,6,12,13,14,15],[0,1,4,5,7,8,9,10,11],[0,1,4,5,7,8,9,10,12],[0,1,4,5,7,8,9,10,13],[0,1,4,5,7,8,9,10,14],[0,1,4,5,7,8,9,10,15],[0,1,4,5,7,8,9,11,12],[0,1,4,5,7,8,9,11,13],[0,1,4,5,7,8,9,11,14],[0,1,4,5,7,8,9,11,15],[0,1,4,5,7,8,9,12,13],[0,1,4,5,7,8,9,12,14],[0,1,4,5,7,8,9,12,15],[0,1,4,5,7,8,9,13,14],[0,1,4,5,7,8,9,13,15],[0,1,4,5,7,8,9,14,15],[0,1,4,5,7,8,10,11,12],[0,1,4,5,7,8,10,11,13],[0,1,4,5,7,8,10,11,14],[0,1,4,5,7,8,10,11,15],[0,1,4,5,7,8,10,12,13],[0,1,4,5,7,8,10,12,14],[0,1,4,5,7,8,10,12,15],[0,1,4,5,7,8,10,13,14],[0,1,4,5,7,8,10,13,15],[0,1,4,5,7,8,10,14,15],[0,1,4,5,7,8,11,12,13],[0,1,4,5,7,8,11,12,14],[0,1,4,5,7,8,11,12,15],[0,1,4,5,7,8,11,13,14],[0,1,4,5,7,8,11,13,15],[0,1,4,5,7,8,11,14,15],[0,1,4,5,7,8,12,13,14],[0,1,4,5,7,8,12,13,15],[0,1,4,5,7,8,12,14,15],[0,1,4,5,7,8,13,14,15],[0,1,4,5,7,9,10,11,12],[0,1,4,5,7,9,10,11,13],[0,1,4,5,7,9,10,11,14],[0,1,4,5,7,9,10,11,15],[0,1,4,5,7,9,10,12,13],[0,1,4,5,7,9,10,12,14],[0,1,4,5,7,9,10,12,15],[0,1,4,5,7,9,10,13,14],[0,1,4,5,7,9,10,13,15],[0,1,4,5,7,9,10,14,15],[0,1,4,5,7,9,11,12,13],[0,1,4,5,7,9,11,12,14],[0,1,4,5,7,9,11,12,15],[0,1,4,5,7,9,11,13,14],[0,1,4,5,7,9,11,13,15],[0,1,4,5,7,9,11,14,15],[0,1,4,5,7,9,12,13,14],[0,1,4,5,7,9,12,13,15],[0,1,4,5,7,9,12,14,15],[0,1,4,5,7,9,13,14,15],[0,1,4,5,7,10,11,12,13],[0,1,4,5,7,10,11,12,14],[0,1,4,5,7,10,11,12,15],[0,1,4,5,7,10,11,13,14],[0,1,4,5,7,10,11,13,15],[0,1,4,5,7,10,11,14,15],[0,1,4,5,7,10,12,13,14],[0,1,4,5,7,10,12,13,15],[0,1,4,5,7,10,12,14,15],[0,1,4,5,7,10,13,14,15],[0,1,4,5,7,11,12,13,14],[0,1,4,5,7,11,12,13,15],[0,1,4,5,7,11,12,14,15],[0,1,4,5,7,11,13,14,15],[0,1,4,5,7,12,13,14,15],[0,1,4,5,8,9,10,11,12],[0,1,4,5,8,9,10,11,13],[0,1,4,5,8,9,10,11,14],[0,1,4,5,8,9,10,11,15],[0,1,4,5,8,9,10,12,13],[0,1,4,5,8,9,10,12,14],[0,1,4,5,8,9,10,12,15],[0,1,4,5,8,9,10,13,14],[0,1,4,5,8,9,10,13,15],[0,1,4,5,8,9,10,14,15],[0,1,4,5,8,9,11,12,13],[0,1,4,5,8,9,11,12,14],[0,1,4,5,8,9,11,12,15],[0,1,4,5,8,9,11,13,14],[0,1,4,5,8,9,11,13,15],[0,1,4,5,8,9,11,14,15],[0,1,4,5,8,9,12,13,14],[0,1,4,5,8,9,12,13,15],[0,1,4,5,8,9,12,14,15],[0,1,4,5,8,9,13,14,15],[0,1,4,5,8,10,11,12,13],[0,1,4,5,8,10,11,12,14],[0,1,4,5,8,10,11,12,15],[0,1,4,5,8,10,11,13,14],[0,1,4,5,8,10,11,13,15],[0,1,4,5,8,10,11,14,15],[0,1,4,5,8,10,12,13,14],[0,1,4,5,8,10,12,13,15],[0,1,4,5,8,10,12,14,15],[0,1,4,5,8,10,13,14,15],[0,1,4,5,8,11,12,13,14],[0,1,4,5,8,11,12,13,15],[0,1,4,5,8,11,12,14,15],[0,1,4,5,8,11,13,14,15],[0,1,4,5,8,12,13,14,15],[0,1,4,5,9,10,11,12,13],[0,1,4,5,9,10,11,12,14],[0,1,4,5,9,10,11,12,15],[0,1,4,5,9,10,11,13,14],[0,1,4,5,9,10,11,13,15],[0,1,4,5,9,10,11,14,15],[0,1,4,5,9,10,12,13,14],[0,1,4,5,9,10,12,13,15],[0,1,4,5,9,10,12,14,15],[0,1,4,5,9,10,13,14,15],[0,1,4,5,9,11,12,13,14],[0,1,4,5,9,11,12,13,15],[0,1,4,5,9,11,12,14,15],[0,1,4,5,9,11,13,14,15],[0,1,4,5,9,12,13,14,15],[0,1,4,5,10,11,12,13,14],[0,1,4,5,10,11,12,13,15],[0,1,4,5,10,11,12,14,15],[0,1,4,5,10,11,13,14,15],[0,1,4,5,10,12,13,14,15],[0,1,4,5,11,12,13,14,15],[0,1,4,6,7,8,9,10,11],[0,1,4,6,7,8,9,10,12],[0,1,4,6,7,8,9,10,13],[0,1,4,6,7,8,9,10,14],[0,1,4,6,7,8,9,10,15],[0,1,4,6,7,8,9,11,12],[0,1,4,6,7,8,9,11,13],[0,1,4,6,7,8,9,11,14],[0,1,4,6,7,8,9,11,15],[0,1,4,6,7,8,9,12,13],[0,1,4,6,7,8,9,12,14],[0,1,4,6,7,8,9,12,15],[0,1,4,6,7,8,9,13,14],[0,1,4,6,7,8,9,13,15],[0,1,4,6,7,8,9,14,15],[0,1,4,6,7,8,10,11,12],[0,1,4,6,7,8,10,11,13],[0,1,4,6,7,8,10,11,14],[0,1,4,6,7,8,10,11,15],[0,1,4,6,7,8,10,12,13],[0,1,4,6,7,8,10,12,14],[0,1,4,6,7,8,10,12,15],[0,1,4,6,7,8,10,13,14],[0,1,4,6,7,8,10,13,15],[0,1,4,6,7,8,10,14,15],[0,1,4,6,7,8,11,12,13],[0,1,4,6,7,8,11,12,14],[0,1,4,6,7,8,11,12,15],[0,1,4,6,7,8,11,13,14],[0,1,4,6,7,8,11,13,15],[0,1,4,6,7,8,11,14,15],[0,1,4,6,7,8,12,13,14],[0,1,4,6,7,8,12,13,15],[0,1,4,6,7,8,12,14,15],[0,1,4,6,7,8,13,14,15],[0,1,4,6,7,9,10,11,12],[0,1,4,6,7,9,10,11,13],[0,1,4,6,7,9,10,11,14],[0,1,4,6,7,9,10,11,15],[0,1,4,6,7,9,10,12,13],[0,1,4,6,7,9,10,12,14],[0,1,4,6,7,9,10,12,15],[0,1,4,6,7,9,10,13,14],[0,1,4,6,7,9,10,13,15],[0,1,4,6,7,9,10,14,15],[0,1,4,6,7,9,11,12,13],[0,1,4,6,7,9,11,12,14],[0,1,4,6,7,9,11,12,15],[0,1,4,6,7,9,11,13,14],[0,1,4,6,7,9,11,13,15],[0,1,4,6,7,9,11,14,15],[0,1,4,6,7,9,12,13,14],[0,1,4,6,7,9,12,13,15],[0,1,4,6,7,9,12,14,15],[0,1,4,6,7,9,13,14,15],[0,1,4,6,7,10,11,12,13],[0,1,4,6,7,10,11,12,14],[0,1,4,6,7,10,11,12,15],[0,1,4,6,7,10,11,13,14],[0,1,4,6,7,10,11,13,15],[0,1,4,6,7,10,11,14,15],[0,1,4,6,7,10,12,13,14],[0,1,4,6,7,10,12,13,15],[0,1,4,6,7,10,12,14,15],[0,1,4,6,7,10,13,14,15],[0,1,4,6,7,11,12,13,14],[0,1,4,6,7,11,12,13,15],[0,1,4,6,7,11,12,14,15],[0,1,4,6,7,11,13,14,15],[0,1,4,6,7,12,13,14,15],[0,1,4,6,8,9,10,11,12],[0,1,4,6,8,9,10,11,13],[0,1,4,6,8,9,10,11,14],[0,1,4,6,8,9,10,11,15],[0,1,4,6,8,9,10,12,13],[0,1,4,6,8,9,10,12,14],[0,1,4,6,8,9,10,12,15],[0,1,4,6,8,9,10,13,14],[0,1,4,6,8,9,10,13,15],[0,1,4,6,8,9,10,14,15],[0,1,4,6,8,9,11,12,13],[0,1,4,6,8,9,11,12,14],[0,1,4,6,8,9,11,12,15],[0,1,4,6,8,9,11,13,14],[0,1,4,6,8,9,11,13,15],[0,1,4,6,8,9,11,14,15],[0,1,4,6,8,9,12,13,14],[0,1,4,6,8,9,12,13,15],[0,1,4,6,8,9,12,14,15],[0,1,4,6,8,9,13,14,15],[0,1,4,6,8,10,11,12,13],[0,1,4,6,8,10,11,12,14],[0,1,4,6,8,10,11,12,15],[0,1,4,6,8,10,11,13,14],[0,1,4,6,8,10,11,13,15],[0,1,4,6,8,10,11,14,15],[0,1,4,6,8,10,12,13,14],[0,1,4,6,8,10,12,13,15],[0,1,4,6,8,10,12,14,15],[0,1,4,6,8,10,13,14,15],[0,1,4,6,8,11,12,13,14],[0,1,4,6,8,11,12,13,15],[0,1,4,6,8,11,12,14,15],[0,1,4,6,8,11,13,14,15],[0,1,4,6,8,12,13,14,15],[0,1,4,6,9,10,11,12,13],[0,1,4,6,9,10,11,12,14],[0,1,4,6,9,10,11,12,15],[0,1,4,6,9,10,11,13,14],[0,1,4,6,9,10,11,13,15],[0,1,4,6,9,10,11,14,15],[0,1,4,6,9,10,12,13,14],[0,1,4,6,9,10,12,13,15],[0,1,4,6,9,10,12,14,15],[0,1,4,6,9,10,13,14,15],[0,1,4,6,9,11,12,13,14],[0,1,4,6,9,11,12,13,15],[0,1,4,6,9,11,12,14,15],[0,1,4,6,9,11,13,14,15],[0,1,4,6,9,12,13,14,15],[0,1,4,6,10,11,12,13,14],[0,1,4,6,10,11,12,13,15],[0,1,4,6,10,11,12,14,15],[0,1,4,6,10,11,13,14,15],[0,1,4,6,10,12,13,14,15],[0,1,4,6,11,12,13,14,15],[0,1,4,7,8,9,10,11,12],[0,1,4,7,8,9,10,11,13],[0,1,4,7,8,9,10,11,14],[0,1,4,7,8,9,10,11,15],[0,1,4,7,8,9,10,12,13],[0,1,4,7,8,9,10,12,14],[0,1,4,7,8,9,10,12,15],[0,1,4,7,8,9,10,13,14],[0,1,4,7,8,9,10,13,15],[0,1,4,7,8,9,10,14,15],[0,1,4,7,8,9,11,12,13],[0,1,4,7,8,9,11,12,14],[0,1,4,7,8,9,11,12,15],[0,1,4,7,8,9,11,13,14],[0,1,4,7,8,9,11,13,15],[0,1,4,7,8,9,11,14,15],[0,1,4,7,8,9,12,13,14],[0,1,4,7,8,9,12,13,15],[0,1,4,7,8,9,12,14,15],[0,1,4,7,8,9,13,14,15],[0,1,4,7,8,10,11,12,13],[0,1,4,7,8,10,11,12,14],[0,1,4,7,8,10,11,12,15],[0,1,4,7,8,10,11,13,14],[0,1,4,7,8,10,11,13,15],[0,1,4,7,8,10,11,14,15],[0,1,4,7,8,10,12,13,14],[0,1,4,7,8,10,12,13,15],[0,1,4,7,8,10,12,14,15],[0,1,4,7,8,10,13,14,15],[0,1,4,7,8,11,12,13,14],[0,1,4,7,8,11,12,13,15],[0,1,4,7,8,11,12,14,15],[0,1,4,7,8,11,13,14,15],[0,1,4,7,8,12,13,14,15],[0,1,4,7,9,10,11,12,13],[0,1,4,7,9,10,11,12,14],[0,1,4,7,9,10,11,12,15],[0,1,4,7,9,10,11,13,14],[0,1,4,7,9,10,11,13,15],[0,1,4,7,9,10,11,14,15],[0,1,4,7,9,10,12,13,14],[0,1,4,7,9,10,12,13,15],[0,1,4,7,9,10,12,14,15],[0,1,4,7,9,10,13,14,15],[0,1,4,7,9,11,12,13,14],[0,1,4,7,9,11,12,13,15],[0,1,4,7,9,11,12,14,15],[0,1,4,7,9,11,13,14,15],[0,1,4,7,9,12,13,14,15],[0,1,4,7,10,11,12,13,14],[0,1,4,7,10,11,12,13,15],[0,1,4,7,10,11,12,14,15],[0,1,4,7,10,11,13,14,15],[0,1,4,7,10,12,13,14,15],[0,1,4,7,11,12,13,14,15],[0,1,4,8,9,10,11,12,13],[0,1,4,8,9,10,11,12,14],[0,1,4,8,9,10,11,12,15],[0,1,4,8,9,10,11,13,14],[0,1,4,8,9,10,11,13,15],[0,1,4,8,9,10,11,14,15],[0,1,4,8,9,10,12,13,14],[0,1,4,8,9,10,12,13,15],[0,1,4,8,9,10,12,14,15],[0,1,4,8,9,10,13,14,15],[0,1,4,8,9,11,12,13,14],[0,1,4,8,9,11,12,13,15],[0,1,4,8,9,11,12,14,15],[0,1,4,8,9,11,13,14,15],[0,1,4,8,9,12,13,14,15],[0,1,4,8,10,11,12,13,14],[0,1,4,8,10,11,12,13,15],[0,1,4,8,10,11,12,14,15],[0,1,4,8,10,11,13,14,15],[0,1,4,8,10,12,13,14,15],[0,1,4,8,11,12,13,14,15],[0,1,4,9,10,11,12,13,14],[0,1,4,9,10,11,12,13,15],[0,1,4,9,10,11,12,14,15],[0,1,4,9,10,11,13,14,15],[0,1,4,9,10,12,13,14,15],[0,1,4,9,11,12,13,14,15],[0,1,4,10,11,12,13,14,15],[0,1,5,6,7,8,9,10,11],[0,1,5,6,7,8,9,10,12],[0,1,5,6,7,8,9,10,13],[0,1,5,6,7,8,9,10,14],[0,1,5,6,7,8,9,10,15],[0,1,5,6,7,8,9,11,12],[0,1,5,6,7,8,9,11,13],[0,1,5,6,7,8,9,11,14],[0,1,5,6,7,8,9,11,15],[0,1,5,6,7,8,9,12,13],[0,1,5,6,7,8,9,12,14],[0,1,5,6,7,8,9,12,15],[0,1,5,6,7,8,9,13,14],[0,1,5,6,7,8,9,13,15],[0,1,5,6,7,8,9,14,15],[0,1,5,6,7,8,10,11,12],[0,1,5,6,7,8,10,11,13],[0,1,5,6,7,8,10,11,14],[0,1,5,6,7,8,10,11,15],[0,1,5,6,7,8,10,12,13],[0,1,5,6,7,8,10,12,14],[0,1,5,6,7,8,10,12,15],[0,1,5,6,7,8,10,13,14],[0,1,5,6,7,8,10,13,15],[0,1,5,6,7,8,10,14,15],[0,1,5,6,7,8,11,12,13],[0,1,5,6,7,8,11,12,14],[0,1,5,6,7,8,11,12,15],[0,1,5,6,7,8,11,13,14],[0,1,5,6,7,8,11,13,15],[0,1,5,6,7,8,11,14,15],[0,1,5,6,7,8,12,13,14],[0,1,5,6,7,8,12,13,15],[0,1,5,6,7,8,12,14,15],[0,1,5,6,7,8,13,14,15],[0,1,5,6,7,9,10,11,12],[0,1,5,6,7,9,10,11,13],[0,1,5,6,7,9,10,11,14],[0,1,5,6,7,9,10,11,15],[0,1,5,6,7,9,10,12,13],[0,1,5,6,7,9,10,12,14],[0,1,5,6,7,9,10,12,15],[0,1,5,6,7,9,10,13,14],[0,1,5,6,7,9,10,13,15],[0,1,5,6,7,9,10,14,15],[0,1,5,6,7,9,11,12,13],[0,1,5,6,7,9,11,12,14],[0,1,5,6,7,9,11,12,15],[0,1,5,6,7,9,11,13,14],[0,1,5,6,7,9,11,13,15],[0,1,5,6,7,9,11,14,15],[0,1,5,6,7,9,12,13,14],[0,1,5,6,7,9,12,13,15],[0,1,5,6,7,9,12,14,15],[0,1,5,6,7,9,13,14,15],[0,1,5,6,7,10,11,12,13],[0,1,5,6,7,10,11,12,14],[0,1,5,6,7,10,11,12,15],[0,1,5,6,7,10,11,13,14],[0,1,5,6,7,10,11,13,15],[0,1,5,6,7,10,11,14,15],[0,1,5,6,7,10,12,13,14],[0,1,5,6,7,10,12,13,15],[0,1,5,6,7,10,12,14,15],[0,1,5,6,7,10,13,14,15],[0,1,5,6,7,11,12,13,14],[0,1,5,6,7,11,12,13,15],[0,1,5,6,7,11,12,14,15],[0,1,5,6,7,11,13,14,15],[0,1,5,6,7,12,13,14,15],[0,1,5,6,8,9,10,11,12],[0,1,5,6,8,9,10,11,13],[0,1,5,6,8,9,10,11,14],[0,1,5,6,8,9,10,11,15],[0,1,5,6,8,9,10,12,13],[0,1,5,6,8,9,10,12,14],[0,1,5,6,8,9,10,12,15],[0,1,5,6,8,9,10,13,14],[0,1,5,6,8,9,10,13,15],[0,1,5,6,8,9,10,14,15],[0,1,5,6,8,9,11,12,13],[0,1,5,6,8,9,11,12,14],[0,1,5,6,8,9,11,12,15],[0,1,5,6,8,9,11,13,14],[0,1,5,6,8,9,11,13,15],[0,1,5,6,8,9,11,14,15],[0,1,5,6,8,9,12,13,14],[0,1,5,6,8,9,12,13,15],[0,1,5,6,8,9,12,14,15],[0,1,5,6,8,9,13,14,15],[0,1,5,6,8,10,11,12,13],[0,1,5,6,8,10,11,12,14],[0,1,5,6,8,10,11,12,15],[0,1,5,6,8,10,11,13,14],[0,1,5,6,8,10,11,13,15],[0,1,5,6,8,10,11,14,15],[0,1,5,6,8,10,12,13,14],[0,1,5,6,8,10,12,13,15],[0,1,5,6,8,10,12,14,15],[0,1,5,6,8,10,13,14,15],[0,1,5,6,8,11,12,13,14],[0,1,5,6,8,11,12,13,15],[0,1,5,6,8,11,12,14,15],[0,1,5,6,8,11,13,14,15],[0,1,5,6,8,12,13,14,15],[0,1,5,6,9,10,11,12,13],[0,1,5,6,9,10,11,12,14],[0,1,5,6,9,10,11,12,15],[0,1,5,6,9,10,11,13,14],[0,1,5,6,9,10,11,13,15],[0,1,5,6,9,10,11,14,15],[0,1,5,6,9,10,12,13,14],[0,1,5,6,9,10,12,13,15],[0,1,5,6,9,10,12,14,15],[0,1,5,6,9,10,13,14,15],[0,1,5,6,9,11,12,13,14],[0,1,5,6,9,11,12,13,15],[0,1,5,6,9,11,12,14,15],[0,1,5,6,9,11,13,14,15],[0,1,5,6,9,12,13,14,15],[0,1,5,6,10,11,12,13,14],[0,1,5,6,10,11,12,13,15],[0,1,5,6,10,11,12,14,15],[0,1,5,6,10,11,13,14,15],[0,1,5,6,10,12,13,14,15],[0,1,5,6,11,12,13,14,15],[0,1,5,7,8,9,10,11,12],[0,1,5,7,8,9,10,11,13],[0,1,5,7,8,9,10,11,14],[0,1,5,7,8,9,10,11,15],[0,1,5,7,8,9,10,12,13],[0,1,5,7,8,9,10,12,14],[0,1,5,7,8,9,10,12,15],[0,1,5,7,8,9,10,13,14],[0,1,5,7,8,9,10,13,15],[0,1,5,7,8,9,10,14,15],[0,1,5,7,8,9,11,12,13],[0,1,5,7,8,9,11,12,14],[0,1,5,7,8,9,11,12,15],[0,1,5,7,8,9,11,13,14],[0,1,5,7,8,9,11,13,15],[0,1,5,7,8,9,11,14,15],[0,1,5,7,8,9,12,13,14],[0,1,5,7,8,9,12,13,15],[0,1,5,7,8,9,12,14,15],[0,1,5,7,8,9,13,14,15],[0,1,5,7,8,10,11,12,13],[0,1,5,7,8,10,11,12,14],[0,1,5,7,8,10,11,12,15],[0,1,5,7,8,10,11,13,14],[0,1,5,7,8,10,11,13,15],[0,1,5,7,8,10,11,14,15],[0,1,5,7,8,10,12,13,14],[0,1,5,7,8,10,12,13,15],[0,1,5,7,8,10,12,14,15],[0,1,5,7,8,10,13,14,15],[0,1,5,7,8,11,12,13,14],[0,1,5,7,8,11,12,13,15],[0,1,5,7,8,11,12,14,15],[0,1,5,7,8,11,13,14,15],[0,1,5,7,8,12,13,14,15],[0,1,5,7,9,10,11,12,13],[0,1,5,7,9,10,11,12,14],[0,1,5,7,9,10,11,12,15],[0,1,5,7,9,10,11,13,14],[0,1,5,7,9,10,11,13,15],[0,1,5,7,9,10,11,14,15],[0,1,5,7,9,10,12,13,14],[0,1,5,7,9,10,12,13,15],[0,1,5,7,9,10,12,14,15],[0,1,5,7,9,10,13,14,15],[0,1,5,7,9,11,12,13,14],[0,1,5,7,9,11,12,13,15],[0,1,5,7,9,11,12,14,15],[0,1,5,7,9,11,13,14,15],[0,1,5,7,9,12,13,14,15],[0,1,5,7,10,11,12,13,14],[0,1,5,7,10,11,12,13,15],[0,1,5,7,10,11,12,14,15],[0,1,5,7,10,11,13,14,15],[0,1,5,7,10,12,13,14,15],[0,1,5,7,11,12,13,14,15],[0,1,5,8,9,10,11,12,13],[0,1,5,8,9,10,11,12,14],[0,1,5,8,9,10,11,12,15],[0,1,5,8,9,10,11,13,14],[0,1,5,8,9,10,11,13,15],[0,1,5,8,9,10,11,14,15],[0,1,5,8,9,10,12,13,14],[0,1,5,8,9,10,12,13,15],[0,1,5,8,9,10,12,14,15],[0,1,5,8,9,10,13,14,15],[0,1,5,8,9,11,12,13,14],[0,1,5,8,9,11,12,13,15],[0,1,5,8,9,11,12,14,15],[0,1,5,8,9,11,13,14,15],[0,1,5,8,9,12,13,14,15],[0,1,5,8,10,11,12,13,14],[0,1,5,8,10,11,12,13,15],[0,1,5,8,10,11,12,14,15],[0,1,5,8,10,11,13,14,15],[0,1,5,8,10,12,13,14,15],[0,1,5,8,11,12,13,14,15],[0,1,5,9,10,11,12,13,14],[0,1,5,9,10,11,12,13,15],[0,1,5,9,10,11,12,14,15],[0,1,5,9,10,11,13,14,15],[0,1,5,9,10,12,13,14,15],[0,1,5,9,11,12,13,14,15],[0,1,5,10,11,12,13,14,15],[0,1,6,7,8,9,10,11,12],[0,1,6,7,8,9,10,11,13],[0,1,6,7,8,9,10,11,14],[0,1,6,7,8,9,10,11,15],[0,1,6,7,8,9,10,12,13],[0,1,6,7,8,9,10,12,14],[0,1,6,7,8,9,10,12,15],[0,1,6,7,8,9,10,13,14],[0,1,6,7,8,9,10,13,15],[0,1,6,7,8,9,10,14,15],[0,1,6,7,8,9,11,12,13],[0,1,6,7,8,9,11,12,14],[0,1,6,7,8,9,11,12,15],[0,1,6,7,8,9,11,13,14],[0,1,6,7,8,9,11,13,15],[0,1,6,7,8,9,11,14,15],[0,1,6,7,8,9,12,13,14],[0,1,6,7,8,9,12,13,15],[0,1,6,7,8,9,12,14,15],[0,1,6,7,8,9,13,14,15],[0,1,6,7,8,10,11,12,13],[0,1,6,7,8,10,11,12,14],[0,1,6,7,8,10,11,12,15],[0,1,6,7,8,10,11,13,14],[0,1,6,7,8,10,11,13,15],[0,1,6,7,8,10,11,14,15],[0,1,6,7,8,10,12,13,14],[0,1,6,7,8,10,12,13,15],[0,1,6,7,8,10,12,14,15],[0,1,6,7,8,10,13,14,15],[0,1,6,7,8,11,12,13,14],[0,1,6,7,8,11,12,13,15],[0,1,6,7,8,11,12,14,15],[0,1,6,7,8,11,13,14,15],[0,1,6,7,8,12,13,14,15],[0,1,6,7,9,10,11,12,13],[0,1,6,7,9,10,11,12,14],[0,1,6,7,9,10,11,12,15],[0,1,6,7,9,10,11,13,14],[0,1,6,7,9,10,11,13,15],[0,1,6,7,9,10,11,14,15],[0,1,6,7,9,10,12,13,14],[0,1,6,7,9,10,12,13,15],[0,1,6,7,9,10,12,14,15],[0,1,6,7,9,10,13,14,15],[0,1,6,7,9,11,12,13,14],[0,1,6,7,9,11,12,13,15],[0,1,6,7,9,11,12,14,15],[0,1,6,7,9,11,13,14,15],[0,1,6,7,9,12,13,14,15],[0,1,6,7,10,11,12,13,14],[0,1,6,7,10,11,12,13,15],[0,1,6,7,10,11,12,14,15],[0,1,6,7,10,11,13,14,15],[0,1,6,7,10,12,13,14,15],[0,1,6,7,11,12,13,14,15],[0,1,6,8,9,10,11,12,13],[0,1,6,8,9,10,11,12,14],[0,1,6,8,9,10,11,12,15],[0,1,6,8,9,10,11,13,14],[0,1,6,8,9,10,11,13,15],[0,1,6,8,9,10,11,14,15],[0,1,6,8,9,10,12,13,14],[0,1,6,8,9,10,12,13,15],[0,1,6,8,9,10,12,14,15],[0,1,6,8,9,10,13,14,15],[0,1,6,8,9,11,12,13,14],[0,1,6,8,9,11,12,13,15],[0,1,6,8,9,11,12,14,15],[0,1,6,8,9,11,13,14,15],[0,1,6,8,9,12,13,14,15],[0,1,6,8,10,11,12,13,14],[0,1,6,8,10,11,12,13,15],[0,1,6,8,10,11,12,14,15],[0,1,6,8,10,11,13,14,15],[0,1,6,8,10,12,13,14,15],[0,1,6,8,11,12,13,14,15],[0,1,6,9,10,11,12,13,14],[0,1,6,9,10,11,12,13,15],[0,1,6,9,10,11,12,14,15],[0,1,6,9,10,11,13,14,15],[0,1,6,9,10,12,13,14,15],[0,1,6,9,11,12,13,14,15],[0,1,6,10,11,12,13,14,15],[0,1,7,8,9,10,11,12,13],[0,1,7,8,9,10,11,12,14],[0,1,7,8,9,10,11,12,15],[0,1,7,8,9,10,11,13,14],[0,1,7,8,9,10,11,13,15],[0,1,7,8,9,10,11,14,15],[0,1,7,8,9,10,12,13,14],[0,1,7,8,9,10,12,13,15],[0,1,7,8,9,10,12,14,15],[0,1,7,8,9,10,13,14,15],[0,1,7,8,9,11,12,13,14],[0,1,7,8,9,11,12,13,15],[0,1,7,8,9,11,12,14,15],[0,1,7,8,9,11,13,14,15],[0,1,7,8,9,12,13,14,15],[0,1,7,8,10,11,12,13,14],[0,1,7,8,10,11,12,13,15],[0,1,7,8,10,11,12,14,15],[0,1,7,8,10,11,13,14,15],[0,1,7,8,10,12,13,14,15],[0,1,7,8,11,12,13,14,15],[0,1,7,9,10,11,12,13,14],[0,1,7,9,10,11,12,13,15],[0,1,7,9,10,11,12,14,15],[0,1,7,9,10,11,13,14,15],[0,1,7,9,10,12,13,14,15],[0,1,7,9,11,12,13,14,15],[0,1,7,10,11,12,13,14,15],[0,1,8,9,10,11,12,13,14],[0,1,8,9,10,11,12,13,15],[0,1,8,9,10,11,12,14,15],[0,1,8,9,10,11,13,14,15],[0,1,8,9,10,12,13,14,15],[0,1,8,9,11,12,13,14,15],[0,1,8,10,11,12,13,14,15],[0,1,9,10,11,12,13,14,15],[0,2,3,4,5,6,7,8,9],[0,2,3,4,5,6,7,8,10],[0,2,3,4,5,6,7,8,11],[0,2,3,4,5,6,7,8,12],[0,2,3,4,5,6,7,8,13],[0,2,3,4,5,6,7,8,14],[0,2,3,4,5,6,7,8,15],[0,2,3,4,5,6,7,9,10],[0,2,3,4,5,6,7,9,11],[0,2,3,4,5,6,7,9,12],[0,2,3,4,5,6,7,9,13],[0,2,3,4,5,6,7,9,14],[0,2,3,4,5,6,7,9,15],[0,2,3,4,5,6,7,10,11],[0,2,3,4,5,6,7,10,12],[0,2,3,4,5,6,7,10,13],[0,2,3,4,5,6,7,10,14],[0,2,3,4,5,6,7,10,15],[0,2,3,4,5,6,7,11,12],[0,2,3,4,5,6,7,11,13],[0,2,3,4,5,6,7,11,14],[0,2,3,4,5,6,7,11,15],[0,2,3,4,5,6,7,12,13],[0,2,3,4,5,6,7,12,14],[0,2,3,4,5,6,7,12,15],[0,2,3,4,5,6,7,13,14],[0,2,3,4,5,6,7,13,15],[0,2,3,4,5,6,7,14,15],[0,2,3,4,5,6,8,9,10],[0,2,3,4,5,6,8,9,11],[0,2,3,4,5,6,8,9,12],[0,2,3,4,5,6,8,9,13],[0,2,3,4,5,6,8,9,14],[0,2,3,4,5,6,8,9,15],[0,2,3,4,5,6,8,10,11],[0,2,3,4,5,6,8,10,12],[0,2,3,4,5,6,8,10,13],[0,2,3,4,5,6,8,10,14],[0,2,3,4,5,6,8,10,15],[0,2,3,4,5,6,8,11,12],[0,2,3,4,5,6,8,11,13],[0,2,3,4,5,6,8,11,14],[0,2,3,4,5,6,8,11,15],[0,2,3,4,5,6,8,12,13],[0,2,3,4,5,6,8,12,14],[0,2,3,4,5,6,8,12,15],[0,2,3,4,5,6,8,13,14],[0,2,3,4,5,6,8,13,15],[0,2,3,4,5,6,8,14,15],[0,2,3,4,5,6,9,10,11],[0,2,3,4,5,6,9,10,12],[0,2,3,4,5,6,9,10,13],[0,2,3,4,5,6,9,10,14],[0,2,3,4,5,6,9,10,15],[0,2,3,4,5,6,9,11,12],[0,2,3,4,5,6,9,11,13],[0,2,3,4,5,6,9,11,14],[0,2,3,4,5,6,9,11,15],[0,2,3,4,5,6,9,12,13],[0,2,3,4,5,6,9,12,14],[0,2,3,4,5,6,9,12,15],[0,2,3,4,5,6,9,13,14],[0,2,3,4,5,6,9,13,15],[0,2,3,4,5,6,9,14,15],[0,2,3,4,5,6,10,11,12],[0,2,3,4,5,6,10,11,13],[0,2,3,4,5,6,10,11,14],[0,2,3,4,5,6,10,11,15],[0,2,3,4,5,6,10,12,13],[0,2,3,4,5,6,10,12,14],[0,2,3,4,5,6,10,12,15],[0,2,3,4,5,6,10,13,14],[0,2,3,4,5,6,10,13,15],[0,2,3,4,5,6,10,14,15],[0,2,3,4,5,6,11,12,13],[0,2,3,4,5,6,11,12,14],[0,2,3,4,5,6,11,12,15],[0,2,3,4,5,6,11,13,14],[0,2,3,4,5,6,11,13,15],[0,2,3,4,5,6,11,14,15],[0,2,3,4,5,6,12,13,14],[0,2,3,4,5,6,12,13,15],[0,2,3,4,5,6,12,14,15],[0,2,3,4,5,6,13,14,15],[0,2,3,4,5,7,8,9,10],[0,2,3,4,5,7,8,9,11],[0,2,3,4,5,7,8,9,12],[0,2,3,4,5,7,8,9,13],[0,2,3,4,5,7,8,9,14],[0,2,3,4,5,7,8,9,15],[0,2,3,4,5,7,8,10,11],[0,2,3,4,5,7,8,10,12],[0,2,3,4,5,7,8,10,13],[0,2,3,4,5,7,8,10,14],[0,2,3,4,5,7,8,10,15],[0,2,3,4,5,7,8,11,12],[0,2,3,4,5,7,8,11,13],[0,2,3,4,5,7,8,11,14],[0,2,3,4,5,7,8,11,15],[0,2,3,4,5,7,8,12,13],[0,2,3,4,5,7,8,12,14],[0,2,3,4,5,7,8,12,15],[0,2,3,4,5,7,8,13,14],[0,2,3,4,5,7,8,13,15],[0,2,3,4,5,7,8,14,15],[0,2,3,4,5,7,9,10,11],[0,2,3,4,5,7,9,10,12],[0,2,3,4,5,7,9,10,13],[0,2,3,4,5,7,9,10,14],[0,2,3,4,5,7,9,10,15],[0,2,3,4,5,7,9,11,12],[0,2,3,4,5,7,9,11,13],[0,2,3,4,5,7,9,11,14],[0,2,3,4,5,7,9,11,15],[0,2,3,4,5,7,9,12,13],[0,2,3,4,5,7,9,12,14],[0,2,3,4,5,7,9,12,15],[0,2,3,4,5,7,9,13,14],[0,2,3,4,5,7,9,13,15],[0,2,3,4,5,7,9,14,15],[0,2,3,4,5,7,10,11,12],[0,2,3,4,5,7,10,11,13],[0,2,3,4,5,7,10,11,14],[0,2,3,4,5,7,10,11,15],[0,2,3,4,5,7,10,12,13],[0,2,3,4,5,7,10,12,14],[0,2,3,4,5,7,10,12,15],[0,2,3,4,5,7,10,13,14],[0,2,3,4,5,7,10,13,15],[0,2,3,4,5,7,10,14,15],[0,2,3,4,5,7,11,12,13],[0,2,3,4,5,7,11,12,14],[0,2,3,4,5,7,11,12,15],[0,2,3,4,5,7,11,13,14],[0,2,3,4,5,7,11,13,15],[0,2,3,4,5,7,11,14,15],[0,2,3,4,5,7,12,13,14],[0,2,3,4,5,7,12,13,15],[0,2,3,4,5,7,12,14,15],[0,2,3,4,5,7,13,14,15],[0,2,3,4,5,8,9,10,11],[0,2,3,4,5,8,9,10,12],[0,2,3,4,5,8,9,10,13],[0,2,3,4,5,8,9,10,14],[0,2,3,4,5,8,9,10,15],[0,2,3,4,5,8,9,11,12],[0,2,3,4,5,8,9,11,13],[0,2,3,4,5,8,9,11,14],[0,2,3,4,5,8,9,11,15],[0,2,3,4,5,8,9,12,13],[0,2,3,4,5,8,9,12,14],[0,2,3,4,5,8,9,12,15],[0,2,3,4,5,8,9,13,14],[0,2,3,4,5,8,9,13,15],[0,2,3,4,5,8,9,14,15],[0,2,3,4,5,8,10,11,12],[0,2,3,4,5,8,10,11,13],[0,2,3,4,5,8,10,11,14],[0,2,3,4,5,8,10,11,15],[0,2,3,4,5,8,10,12,13],[0,2,3,4,5,8,10,12,14],[0,2,3,4,5,8,10,12,15],[0,2,3,4,5,8,10,13,14],[0,2,3,4,5,8,10,13,15],[0,2,3,4,5,8,10,14,15],[0,2,3,4,5,8,11,12,13],[0,2,3,4,5,8,11,12,14],[0,2,3,4,5,8,11,12,15],[0,2,3,4,5,8,11,13,14],[0,2,3,4,5,8,11,13,15],[0,2,3,4,5,8,11,14,15],[0,2,3,4,5,8,12,13,14],[0,2,3,4,5,8,12,13,15],[0,2,3,4,5,8,12,14,15],[0,2,3,4,5,8,13,14,15],[0,2,3,4,5,9,10,11,12],[0,2,3,4,5,9,10,11,13],[0,2,3,4,5,9,10,11,14],[0,2,3,4,5,9,10,11,15],[0,2,3,4,5,9,10,12,13],[0,2,3,4,5,9,10,12,14],[0,2,3,4,5,9,10,12,15],[0,2,3,4,5,9,10,13,14],[0,2,3,4,5,9,10,13,15],[0,2,3,4,5,9,10,14,15],[0,2,3,4,5,9,11,12,13],[0,2,3,4,5,9,11,12,14],[0,2,3,4,5,9,11,12,15],[0,2,3,4,5,9,11,13,14],[0,2,3,4,5,9,11,13,15],[0,2,3,4,5,9,11,14,15],[0,2,3,4,5,9,12,13,14],[0,2,3,4,5,9,12,13,15],[0,2,3,4,5,9,12,14,15],[0,2,3,4,5,9,13,14,15],[0,2,3,4,5,10,11,12,13],[0,2,3,4,5,10,11,12,14],[0,2,3,4,5,10,11,12,15],[0,2,3,4,5,10,11,13,14],[0,2,3,4,5,10,11,13,15],[0,2,3,4,5,10,11,14,15],[0,2,3,4,5,10,12,13,14],[0,2,3,4,5,10,12,13,15],[0,2,3,4,5,10,12,14,15],[0,2,3,4,5,10,13,14,15],[0,2,3,4,5,11,12,13,14],[0,2,3,4,5,11,12,13,15],[0,2,3,4,5,11,12,14,15],[0,2,3,4,5,11,13,14,15],[0,2,3,4,5,12,13,14,15],[0,2,3,4,6,7,8,9,10],[0,2,3,4,6,7,8,9,11],[0,2,3,4,6,7,8,9,12],[0,2,3,4,6,7,8,9,13],[0,2,3,4,6,7,8,9,14],[0,2,3,4,6,7,8,9,15],[0,2,3,4,6,7,8,10,11],[0,2,3,4,6,7,8,10,12],[0,2,3,4,6,7,8,10,13],[0,2,3,4,6,7,8,10,14],[0,2,3,4,6,7,8,10,15],[0,2,3,4,6,7,8,11,12],[0,2,3,4,6,7,8,11,13],[0,2,3,4,6,7,8,11,14],[0,2,3,4,6,7,8,11,15],[0,2,3,4,6,7,8,12,13],[0,2,3,4,6,7,8,12,14],[0,2,3,4,6,7,8,12,15],[0,2,3,4,6,7,8,13,14],[0,2,3,4,6,7,8,13,15],[0,2,3,4,6,7,8,14,15],[0,2,3,4,6,7,9,10,11],[0,2,3,4,6,7,9,10,12],[0,2,3,4,6,7,9,10,13],[0,2,3,4,6,7,9,10,14],[0,2,3,4,6,7,9,10,15],[0,2,3,4,6,7,9,11,12],[0,2,3,4,6,7,9,11,13],[0,2,3,4,6,7,9,11,14],[0,2,3,4,6,7,9,11,15],[0,2,3,4,6,7,9,12,13],[0,2,3,4,6,7,9,12,14],[0,2,3,4,6,7,9,12,15],[0,2,3,4,6,7,9,13,14],[0,2,3,4,6,7,9,13,15],[0,2,3,4,6,7,9,14,15],[0,2,3,4,6,7,10,11,12],[0,2,3,4,6,7,10,11,13],[0,2,3,4,6,7,10,11,14],[0,2,3,4,6,7,10,11,15],[0,2,3,4,6,7,10,12,13],[0,2,3,4,6,7,10,12,14],[0,2,3,4,6,7,10,12,15],[0,2,3,4,6,7,10,13,14],[0,2,3,4,6,7,10,13,15],[0,2,3,4,6,7,10,14,15],[0,2,3,4,6,7,11,12,13],[0,2,3,4,6,7,11,12,14],[0,2,3,4,6,7,11,12,15],[0,2,3,4,6,7,11,13,14],[0,2,3,4,6,7,11,13,15],[0,2,3,4,6,7,11,14,15],[0,2,3,4,6,7,12,13,14],[0,2,3,4,6,7,12,13,15],[0,2,3,4,6,7,12,14,15],[0,2,3,4,6,7,13,14,15],[0,2,3,4,6,8,9,10,11],[0,2,3,4,6,8,9,10,12],[0,2,3,4,6,8,9,10,13],[0,2,3,4,6,8,9,10,14],[0,2,3,4,6,8,9,10,15],[0,2,3,4,6,8,9,11,12],[0,2,3,4,6,8,9,11,13],[0,2,3,4,6,8,9,11,14],[0,2,3,4,6,8,9,11,15],[0,2,3,4,6,8,9,12,13],[0,2,3,4,6,8,9,12,14],[0,2,3,4,6,8,9,12,15],[0,2,3,4,6,8,9,13,14],[0,2,3,4,6,8,9,13,15],[0,2,3,4,6,8,9,14,15],[0,2,3,4,6,8,10,11,12],[0,2,3,4,6,8,10,11,13],[0,2,3,4,6,8,10,11,14],[0,2,3,4,6,8,10,11,15],[0,2,3,4,6,8,10,12,13],[0,2,3,4,6,8,10,12,14],[0,2,3,4,6,8,10,12,15],[0,2,3,4,6,8,10,13,14],[0,2,3,4,6,8,10,13,15],[0,2,3,4,6,8,10,14,15],[0,2,3,4,6,8,11,12,13],[0,2,3,4,6,8,11,12,14],[0,2,3,4,6,8,11,12,15],[0,2,3,4,6,8,11,13,14],[0,2,3,4,6,8,11,13,15],[0,2,3,4,6,8,11,14,15],[0,2,3,4,6,8,12,13,14],[0,2,3,4,6,8,12,13,15],[0,2,3,4,6,8,12,14,15],[0,2,3,4,6,8,13,14,15],[0,2,3,4,6,9,10,11,12],[0,2,3,4,6,9,10,11,13],[0,2,3,4,6,9,10,11,14],[0,2,3,4,6,9,10,11,15],[0,2,3,4,6,9,10,12,13],[0,2,3,4,6,9,10,12,14],[0,2,3,4,6,9,10,12,15],[0,2,3,4,6,9,10,13,14],[0,2,3,4,6,9,10,13,15],[0,2,3,4,6,9,10,14,15],[0,2,3,4,6,9,11,12,13],[0,2,3,4,6,9,11,12,14],[0,2,3,4,6,9,11,12,15],[0,2,3,4,6,9,11,13,14],[0,2,3,4,6,9,11,13,15],[0,2,3,4,6,9,11,14,15],[0,2,3,4,6,9,12,13,14],[0,2,3,4,6,9,12,13,15],[0,2,3,4,6,9,12,14,15],[0,2,3,4,6,9,13,14,15],[0,2,3,4,6,10,11,12,13],[0,2,3,4,6,10,11,12,14],[0,2,3,4,6,10,11,12,15],[0,2,3,4,6,10,11,13,14],[0,2,3,4,6,10,11,13,15],[0,2,3,4,6,10,11,14,15],[0,2,3,4,6,10,12,13,14],[0,2,3,4,6,10,12,13,15],[0,2,3,4,6,10,12,14,15],[0,2,3,4,6,10,13,14,15],[0,2,3,4,6,11,12,13,14],[0,2,3,4,6,11,12,13,15],[0,2,3,4,6,11,12,14,15],[0,2,3,4,6,11,13,14,15],[0,2,3,4,6,12,13,14,15],[0,2,3,4,7,8,9,10,11],[0,2,3,4,7,8,9,10,12],[0,2,3,4,7,8,9,10,13],[0,2,3,4,7,8,9,10,14],[0,2,3,4,7,8,9,10,15],[0,2,3,4,7,8,9,11,12],[0,2,3,4,7,8,9,11,13],[0,2,3,4,7,8,9,11,14],[0,2,3,4,7,8,9,11,15],[0,2,3,4,7,8,9,12,13],[0,2,3,4,7,8,9,12,14],[0,2,3,4,7,8,9,12,15],[0,2,3,4,7,8,9,13,14],[0,2,3,4,7,8,9,13,15],[0,2,3,4,7,8,9,14,15],[0,2,3,4,7,8,10,11,12],[0,2,3,4,7,8,10,11,13],[0,2,3,4,7,8,10,11,14],[0,2,3,4,7,8,10,11,15],[0,2,3,4,7,8,10,12,13],[0,2,3,4,7,8,10,12,14],[0,2,3,4,7,8,10,12,15],[0,2,3,4,7,8,10,13,14],[0,2,3,4,7,8,10,13,15],[0,2,3,4,7,8,10,14,15],[0,2,3,4,7,8,11,12,13],[0,2,3,4,7,8,11,12,14],[0,2,3,4,7,8,11,12,15],[0,2,3,4,7,8,11,13,14],[0,2,3,4,7,8,11,13,15],[0,2,3,4,7,8,11,14,15],[0,2,3,4,7,8,12,13,14],[0,2,3,4,7,8,12,13,15],[0,2,3,4,7,8,12,14,15],[0,2,3,4,7,8,13,14,15],[0,2,3,4,7,9,10,11,12],[0,2,3,4,7,9,10,11,13],[0,2,3,4,7,9,10,11,14],[0,2,3,4,7,9,10,11,15],[0,2,3,4,7,9,10,12,13],[0,2,3,4,7,9,10,12,14],[0,2,3,4,7,9,10,12,15],[0,2,3,4,7,9,10,13,14],[0,2,3,4,7,9,10,13,15],[0,2,3,4,7,9,10,14,15],[0,2,3,4,7,9,11,12,13],[0,2,3,4,7,9,11,12,14],[0,2,3,4,7,9,11,12,15],[0,2,3,4,7,9,11,13,14],[0,2,3,4,7,9,11,13,15],[0,2,3,4,7,9,11,14,15],[0,2,3,4,7,9,12,13,14],[0,2,3,4,7,9,12,13,15],[0,2,3,4,7,9,12,14,15],[0,2,3,4,7,9,13,14,15],[0,2,3,4,7,10,11,12,13],[0,2,3,4,7,10,11,12,14],[0,2,3,4,7,10,11,12,15],[0,2,3,4,7,10,11,13,14],[0,2,3,4,7,10,11,13,15],[0,2,3,4,7,10,11,14,15],[0,2,3,4,7,10,12,13,14],[0,2,3,4,7,10,12,13,15],[0,2,3,4,7,10,12,14,15],[0,2,3,4,7,10,13,14,15],[0,2,3,4,7,11,12,13,14],[0,2,3,4,7,11,12,13,15],[0,2,3,4,7,11,12,14,15],[0,2,3,4,7,11,13,14,15],[0,2,3,4,7,12,13,14,15],[0,2,3,4,8,9,10,11,12],[0,2,3,4,8,9,10,11,13],[0,2,3,4,8,9,10,11,14],[0,2,3,4,8,9,10,11,15],[0,2,3,4,8,9,10,12,13],[0,2,3,4,8,9,10,12,14],[0,2,3,4,8,9,10,12,15],[0,2,3,4,8,9,10,13,14],[0,2,3,4,8,9,10,13,15],[0,2,3,4,8,9,10,14,15],[0,2,3,4,8,9,11,12,13],[0,2,3,4,8,9,11,12,14],[0,2,3,4,8,9,11,12,15],[0,2,3,4,8,9,11,13,14],[0,2,3,4,8,9,11,13,15],[0,2,3,4,8,9,11,14,15],[0,2,3,4,8,9,12,13,14],[0,2,3,4,8,9,12,13,15],[0,2,3,4,8,9,12,14,15],[0,2,3,4,8,9,13,14,15],[0,2,3,4,8,10,11,12,13],[0,2,3,4,8,10,11,12,14],[0,2,3,4,8,10,11,12,15],[0,2,3,4,8,10,11,13,14],[0,2,3,4,8,10,11,13,15],[0,2,3,4,8,10,11,14,15],[0,2,3,4,8,10,12,13,14],[0,2,3,4,8,10,12,13,15],[0,2,3,4,8,10,12,14,15],[0,2,3,4,8,10,13,14,15],[0,2,3,4,8,11,12,13,14],[0,2,3,4,8,11,12,13,15],[0,2,3,4,8,11,12,14,15],[0,2,3,4,8,11,13,14,15],[0,2,3,4,8,12,13,14,15],[0,2,3,4,9,10,11,12,13],[0,2,3,4,9,10,11,12,14],[0,2,3,4,9,10,11,12,15],[0,2,3,4,9,10,11,13,14],[0,2,3,4,9,10,11,13,15],[0,2,3,4,9,10,11,14,15],[0,2,3,4,9,10,12,13,14],[0,2,3,4,9,10,12,13,15],[0,2,3,4,9,10,12,14,15],[0,2,3,4,9,10,13,14,15],[0,2,3,4,9,11,12,13,14],[0,2,3,4,9,11,12,13,15],[0,2,3,4,9,11,12,14,15],[0,2,3,4,9,11,13,14,15],[0,2,3,4,9,12,13,14,15],[0,2,3,4,10,11,12,13,14],[0,2,3,4,10,11,12,13,15],[0,2,3,4,10,11,12,14,15],[0,2,3,4,10,11,13,14,15],[0,2,3,4,10,12,13,14,15],[0,2,3,4,11,12,13,14,15],[0,2,3,5,6,7,8,9,10],[0,2,3,5,6,7,8,9,11],[0,2,3,5,6,7,8,9,12],[0,2,3,5,6,7,8,9,13],[0,2,3,5,6,7,8,9,14],[0,2,3,5,6,7,8,9,15],[0,2,3,5,6,7,8,10,11],[0,2,3,5,6,7,8,10,12],[0,2,3,5,6,7,8,10,13],[0,2,3,5,6,7,8,10,14],[0,2,3,5,6,7,8,10,15],[0,2,3,5,6,7,8,11,12],[0,2,3,5,6,7,8,11,13],[0,2,3,5,6,7,8,11,14],[0,2,3,5,6,7,8,11,15],[0,2,3,5,6,7,8,12,13],[0,2,3,5,6,7,8,12,14],[0,2,3,5,6,7,8,12,15],[0,2,3,5,6,7,8,13,14],[0,2,3,5,6,7,8,13,15],[0,2,3,5,6,7,8,14,15],[0,2,3,5,6,7,9,10,11],[0,2,3,5,6,7,9,10,12],[0,2,3,5,6,7,9,10,13],[0,2,3,5,6,7,9,10,14],[0,2,3,5,6,7,9,10,15],[0,2,3,5,6,7,9,11,12],[0,2,3,5,6,7,9,11,13],[0,2,3,5,6,7,9,11,14],[0,2,3,5,6,7,9,11,15],[0,2,3,5,6,7,9,12,13],[0,2,3,5,6,7,9,12,14],[0,2,3,5,6,7,9,12,15],[0,2,3,5,6,7,9,13,14],[0,2,3,5,6,7,9,13,15],[0,2,3,5,6,7,9,14,15],[0,2,3,5,6,7,10,11,12],[0,2,3,5,6,7,10,11,13],[0,2,3,5,6,7,10,11,14],[0,2,3,5,6,7,10,11,15],[0,2,3,5,6,7,10,12,13],[0,2,3,5,6,7,10,12,14],[0,2,3,5,6,7,10,12,15],[0,2,3,5,6,7,10,13,14],[0,2,3,5,6,7,10,13,15],[0,2,3,5,6,7,10,14,15],[0,2,3,5,6,7,11,12,13],[0,2,3,5,6,7,11,12,14],[0,2,3,5,6,7,11,12,15],[0,2,3,5,6,7,11,13,14],[0,2,3,5,6,7,11,13,15],[0,2,3,5,6,7,11,14,15],[0,2,3,5,6,7,12,13,14],[0,2,3,5,6,7,12,13,15],[0,2,3,5,6,7,12,14,15],[0,2,3,5,6,7,13,14,15],[0,2,3,5,6,8,9,10,11],[0,2,3,5,6,8,9,10,12],[0,2,3,5,6,8,9,10,13],[0,2,3,5,6,8,9,10,14],[0,2,3,5,6,8,9,10,15],[0,2,3,5,6,8,9,11,12],[0,2,3,5,6,8,9,11,13],[0,2,3,5,6,8,9,11,14],[0,2,3,5,6,8,9,11,15],[0,2,3,5,6,8,9,12,13],[0,2,3,5,6,8,9,12,14],[0,2,3,5,6,8,9,12,15],[0,2,3,5,6,8,9,13,14],[0,2,3,5,6,8,9,13,15],[0,2,3,5,6,8,9,14,15],[0,2,3,5,6,8,10,11,12],[0,2,3,5,6,8,10,11,13],[0,2,3,5,6,8,10,11,14],[0,2,3,5,6,8,10,11,15],[0,2,3,5,6,8,10,12,13],[0,2,3,5,6,8,10,12,14],[0,2,3,5,6,8,10,12,15],[0,2,3,5,6,8,10,13,14],[0,2,3,5,6,8,10,13,15],[0,2,3,5,6,8,10,14,15],[0,2,3,5,6,8,11,12,13],[0,2,3,5,6,8,11,12,14],[0,2,3,5,6,8,11,12,15],[0,2,3,5,6,8,11,13,14],[0,2,3,5,6,8,11,13,15],[0,2,3,5,6,8,11,14,15],[0,2,3,5,6,8,12,13,14],[0,2,3,5,6,8,12,13,15],[0,2,3,5,6,8,12,14,15],[0,2,3,5,6,8,13,14,15],[0,2,3,5,6,9,10,11,12],[0,2,3,5,6,9,10,11,13],[0,2,3,5,6,9,10,11,14],[0,2,3,5,6,9,10,11,15],[0,2,3,5,6,9,10,12,13],[0,2,3,5,6,9,10,12,14],[0,2,3,5,6,9,10,12,15],[0,2,3,5,6,9,10,13,14],[0,2,3,5,6,9,10,13,15],[0,2,3,5,6,9,10,14,15],[0,2,3,5,6,9,11,12,13],[0,2,3,5,6,9,11,12,14],[0,2,3,5,6,9,11,12,15],[0,2,3,5,6,9,11,13,14],[0,2,3,5,6,9,11,13,15],[0,2,3,5,6,9,11,14,15],[0,2,3,5,6,9,12,13,14],[0,2,3,5,6,9,12,13,15],[0,2,3,5,6,9,12,14,15],[0,2,3,5,6,9,13,14,15],[0,2,3,5,6,10,11,12,13],[0,2,3,5,6,10,11,12,14],[0,2,3,5,6,10,11,12,15],[0,2,3,5,6,10,11,13,14],[0,2,3,5,6,10,11,13,15],[0,2,3,5,6,10,11,14,15],[0,2,3,5,6,10,12,13,14],[0,2,3,5,6,10,12,13,15],[0,2,3,5,6,10,12,14,15],[0,2,3,5,6,10,13,14,15],[0,2,3,5,6,11,12,13,14],[0,2,3,5,6,11,12,13,15],[0,2,3,5,6,11,12,14,15],[0,2,3,5,6,11,13,14,15],[0,2,3,5,6,12,13,14,15],[0,2,3,5,7,8,9,10,11],[0,2,3,5,7,8,9,10,12],[0,2,3,5,7,8,9,10,13],[0,2,3,5,7,8,9,10,14],[0,2,3,5,7,8,9,10,15],[0,2,3,5,7,8,9,11,12],[0,2,3,5,7,8,9,11,13],[0,2,3,5,7,8,9,11,14],[0,2,3,5,7,8,9,11,15],[0,2,3,5,7,8,9,12,13],[0,2,3,5,7,8,9,12,14],[0,2,3,5,7,8,9,12,15],[0,2,3,5,7,8,9,13,14],[0,2,3,5,7,8,9,13,15],[0,2,3,5,7,8,9,14,15],[0,2,3,5,7,8,10,11,12],[0,2,3,5,7,8,10,11,13],[0,2,3,5,7,8,10,11,14],[0,2,3,5,7,8,10,11,15],[0,2,3,5,7,8,10,12,13],[0,2,3,5,7,8,10,12,14],[0,2,3,5,7,8,10,12,15],[0,2,3,5,7,8,10,13,14],[0,2,3,5,7,8,10,13,15],[0,2,3,5,7,8,10,14,15],[0,2,3,5,7,8,11,12,13],[0,2,3,5,7,8,11,12,14],[0,2,3,5,7,8,11,12,15],[0,2,3,5,7,8,11,13,14],[0,2,3,5,7,8,11,13,15],[0,2,3,5,7,8,11,14,15],[0,2,3,5,7,8,12,13,14],[0,2,3,5,7,8,12,13,15],[0,2,3,5,7,8,12,14,15],[0,2,3,5,7,8,13,14,15],[0,2,3,5,7,9,10,11,12],[0,2,3,5,7,9,10,11,13],[0,2,3,5,7,9,10,11,14],[0,2,3,5,7,9,10,11,15],[0,2,3,5,7,9,10,12,13],[0,2,3,5,7,9,10,12,14],[0,2,3,5,7,9,10,12,15],[0,2,3,5,7,9,10,13,14],[0,2,3,5,7,9,10,13,15],[0,2,3,5,7,9,10,14,15],[0,2,3,5,7,9,11,12,13],[0,2,3,5,7,9,11,12,14],[0,2,3,5,7,9,11,12,15],[0,2,3,5,7,9,11,13,14],[0,2,3,5,7,9,11,13,15],[0,2,3,5,7,9,11,14,15],[0,2,3,5,7,9,12,13,14],[0,2,3,5,7,9,12,13,15],[0,2,3,5,7,9,12,14,15],[0,2,3,5,7,9,13,14,15],[0,2,3,5,7,10,11,12,13],[0,2,3,5,7,10,11,12,14],[0,2,3,5,7,10,11,12,15],[0,2,3,5,7,10,11,13,14],[0,2,3,5,7,10,11,13,15],[0,2,3,5,7,10,11,14,15],[0,2,3,5,7,10,12,13,14],[0,2,3,5,7,10,12,13,15],[0,2,3,5,7,10,12,14,15],[0,2,3,5,7,10,13,14,15],[0,2,3,5,7,11,12,13,14],[0,2,3,5,7,11,12,13,15],[0,2,3,5,7,11,12,14,15],[0,2,3,5,7,11,13,14,15],[0,2,3,5,7,12,13,14,15],[0,2,3,5,8,9,10,11,12],[0,2,3,5,8,9,10,11,13],[0,2,3,5,8,9,10,11,14],[0,2,3,5,8,9,10,11,15],[0,2,3,5,8,9,10,12,13],[0,2,3,5,8,9,10,12,14],[0,2,3,5,8,9,10,12,15],[0,2,3,5,8,9,10,13,14],[0,2,3,5,8,9,10,13,15],[0,2,3,5,8,9,10,14,15],[0,2,3,5,8,9,11,12,13],[0,2,3,5,8,9,11,12,14],[0,2,3,5,8,9,11,12,15],[0,2,3,5,8,9,11,13,14],[0,2,3,5,8,9,11,13,15],[0,2,3,5,8,9,11,14,15],[0,2,3,5,8,9,12,13,14],[0,2,3,5,8,9,12,13,15],[0,2,3,5,8,9,12,14,15],[0,2,3,5,8,9,13,14,15],[0,2,3,5,8,10,11,12,13],[0,2,3,5,8,10,11,12,14],[0,2,3,5,8,10,11,12,15],[0,2,3,5,8,10,11,13,14],[0,2,3,5,8,10,11,13,15],[0,2,3,5,8,10,11,14,15],[0,2,3,5,8,10,12,13,14],[0,2,3,5,8,10,12,13,15],[0,2,3,5,8,10,12,14,15],[0,2,3,5,8,10,13,14,15],[0,2,3,5,8,11,12,13,14],[0,2,3,5,8,11,12,13,15],[0,2,3,5,8,11,12,14,15],[0,2,3,5,8,11,13,14,15],[0,2,3,5,8,12,13,14,15],[0,2,3,5,9,10,11,12,13],[0,2,3,5,9,10,11,12,14],[0,2,3,5,9,10,11,12,15],[0,2,3,5,9,10,11,13,14],[0,2,3,5,9,10,11,13,15],[0,2,3,5,9,10,11,14,15],[0,2,3,5,9,10,12,13,14],[0,2,3,5,9,10,12,13,15],[0,2,3,5,9,10,12,14,15],[0,2,3,5,9,10,13,14,15],[0,2,3,5,9,11,12,13,14],[0,2,3,5,9,11,12,13,15],[0,2,3,5,9,11,12,14,15],[0,2,3,5,9,11,13,14,15],[0,2,3,5,9,12,13,14,15],[0,2,3,5,10,11,12,13,14],[0,2,3,5,10,11,12,13,15],[0,2,3,5,10,11,12,14,15],[0,2,3,5,10,11,13,14,15],[0,2,3,5,10,12,13,14,15],[0,2,3,5,11,12,13,14,15],[0,2,3,6,7,8,9,10,11],[0,2,3,6,7,8,9,10,12],[0,2,3,6,7,8,9,10,13],[0,2,3,6,7,8,9,10,14],[0,2,3,6,7,8,9,10,15],[0,2,3,6,7,8,9,11,12],[0,2,3,6,7,8,9,11,13],[0,2,3,6,7,8,9,11,14],[0,2,3,6,7,8,9,11,15],[0,2,3,6,7,8,9,12,13],[0,2,3,6,7,8,9,12,14],[0,2,3,6,7,8,9,12,15],[0,2,3,6,7,8,9,13,14],[0,2,3,6,7,8,9,13,15],[0,2,3,6,7,8,9,14,15],[0,2,3,6,7,8,10,11,12],[0,2,3,6,7,8,10,11,13],[0,2,3,6,7,8,10,11,14],[0,2,3,6,7,8,10,11,15],[0,2,3,6,7,8,10,12,13],[0,2,3,6,7,8,10,12,14],[0,2,3,6,7,8,10,12,15],[0,2,3,6,7,8,10,13,14],[0,2,3,6,7,8,10,13,15],[0,2,3,6,7,8,10,14,15],[0,2,3,6,7,8,11,12,13],[0,2,3,6,7,8,11,12,14],[0,2,3,6,7,8,11,12,15],[0,2,3,6,7,8,11,13,14],[0,2,3,6,7,8,11,13,15],[0,2,3,6,7,8,11,14,15],[0,2,3,6,7,8,12,13,14],[0,2,3,6,7,8,12,13,15],[0,2,3,6,7,8,12,14,15],[0,2,3,6,7,8,13,14,15],[0,2,3,6,7,9,10,11,12],[0,2,3,6,7,9,10,11,13],[0,2,3,6,7,9,10,11,14],[0,2,3,6,7,9,10,11,15],[0,2,3,6,7,9,10,12,13],[0,2,3,6,7,9,10,12,14],[0,2,3,6,7,9,10,12,15],[0,2,3,6,7,9,10,13,14],[0,2,3,6,7,9,10,13,15],[0,2,3,6,7,9,10,14,15],[0,2,3,6,7,9,11,12,13],[0,2,3,6,7,9,11,12,14],[0,2,3,6,7,9,11,12,15],[0,2,3,6,7,9,11,13,14],[0,2,3,6,7,9,11,13,15],[0,2,3,6,7,9,11,14,15],[0,2,3,6,7,9,12,13,14],[0,2,3,6,7,9,12,13,15],[0,2,3,6,7,9,12,14,15],[0,2,3,6,7,9,13,14,15],[0,2,3,6,7,10,11,12,13],[0,2,3,6,7,10,11,12,14],[0,2,3,6,7,10,11,12,15],[0,2,3,6,7,10,11,13,14],[0,2,3,6,7,10,11,13,15],[0,2,3,6,7,10,11,14,15],[0,2,3,6,7,10,12,13,14],[0,2,3,6,7,10,12,13,15],[0,2,3,6,7,10,12,14,15],[0,2,3,6,7,10,13,14,15],[0,2,3,6,7,11,12,13,14],[0,2,3,6,7,11,12,13,15],[0,2,3,6,7,11,12,14,15],[0,2,3,6,7,11,13,14,15],[0,2,3,6,7,12,13,14,15],[0,2,3,6,8,9,10,11,12],[0,2,3,6,8,9,10,11,13],[0,2,3,6,8,9,10,11,14],[0,2,3,6,8,9,10,11,15],[0,2,3,6,8,9,10,12,13],[0,2,3,6,8,9,10,12,14],[0,2,3,6,8,9,10,12,15],[0,2,3,6,8,9,10,13,14],[0,2,3,6,8,9,10,13,15],[0,2,3,6,8,9,10,14,15],[0,2,3,6,8,9,11,12,13],[0,2,3,6,8,9,11,12,14],[0,2,3,6,8,9,11,12,15],[0,2,3,6,8,9,11,13,14],[0,2,3,6,8,9,11,13,15],[0,2,3,6,8,9,11,14,15],[0,2,3,6,8,9,12,13,14],[0,2,3,6,8,9,12,13,15],[0,2,3,6,8,9,12,14,15],[0,2,3,6,8,9,13,14,15],[0,2,3,6,8,10,11,12,13],[0,2,3,6,8,10,11,12,14],[0,2,3,6,8,10,11,12,15],[0,2,3,6,8,10,11,13,14],[0,2,3,6,8,10,11,13,15],[0,2,3,6,8,10,11,14,15],[0,2,3,6,8,10,12,13,14],[0,2,3,6,8,10,12,13,15],[0,2,3,6,8,10,12,14,15],[0,2,3,6,8,10,13,14,15],[0,2,3,6,8,11,12,13,14],[0,2,3,6,8,11,12,13,15],[0,2,3,6,8,11,12,14,15],[0,2,3,6,8,11,13,14,15],[0,2,3,6,8,12,13,14,15],[0,2,3,6,9,10,11,12,13],[0,2,3,6,9,10,11,12,14],[0,2,3,6,9,10,11,12,15],[0,2,3,6,9,10,11,13,14],[0,2,3,6,9,10,11,13,15],[0,2,3,6,9,10,11,14,15],[0,2,3,6,9,10,12,13,14],[0,2,3,6,9,10,12,13,15],[0,2,3,6,9,10,12,14,15],[0,2,3,6,9,10,13,14,15],[0,2,3,6,9,11,12,13,14],[0,2,3,6,9,11,12,13,15],[0,2,3,6,9,11,12,14,15],[0,2,3,6,9,11,13,14,15],[0,2,3,6,9,12,13,14,15],[0,2,3,6,10,11,12,13,14],[0,2,3,6,10,11,12,13,15],[0,2,3,6,10,11,12,14,15],[0,2,3,6,10,11,13,14,15],[0,2,3,6,10,12,13,14,15],[0,2,3,6,11,12,13,14,15],[0,2,3,7,8,9,10,11,12],[0,2,3,7,8,9,10,11,13],[0,2,3,7,8,9,10,11,14],[0,2,3,7,8,9,10,11,15],[0,2,3,7,8,9,10,12,13],[0,2,3,7,8,9,10,12,14],[0,2,3,7,8,9,10,12,15],[0,2,3,7,8,9,10,13,14],[0,2,3,7,8,9,10,13,15],[0,2,3,7,8,9,10,14,15],[0,2,3,7,8,9,11,12,13],[0,2,3,7,8,9,11,12,14],[0,2,3,7,8,9,11,12,15],[0,2,3,7,8,9,11,13,14],[0,2,3,7,8,9,11,13,15],[0,2,3,7,8,9,11,14,15],[0,2,3,7,8,9,12,13,14],[0,2,3,7,8,9,12,13,15],[0,2,3,7,8,9,12,14,15],[0,2,3,7,8,9,13,14,15],[0,2,3,7,8,10,11,12,13],[0,2,3,7,8,10,11,12,14],[0,2,3,7,8,10,11,12,15],[0,2,3,7,8,10,11,13,14],[0,2,3,7,8,10,11,13,15],[0,2,3,7,8,10,11,14,15],[0,2,3,7,8,10,12,13,14],[0,2,3,7,8,10,12,13,15],[0,2,3,7,8,10,12,14,15],[0,2,3,7,8,10,13,14,15],[0,2,3,7,8,11,12,13,14],[0,2,3,7,8,11,12,13,15],[0,2,3,7,8,11,12,14,15],[0,2,3,7,8,11,13,14,15],[0,2,3,7,8,12,13,14,15],[0,2,3,7,9,10,11,12,13],[0,2,3,7,9,10,11,12,14],[0,2,3,7,9,10,11,12,15],[0,2,3,7,9,10,11,13,14],[0,2,3,7,9,10,11,13,15],[0,2,3,7,9,10,11,14,15],[0,2,3,7,9,10,12,13,14],[0,2,3,7,9,10,12,13,15],[0,2,3,7,9,10,12,14,15],[0,2,3,7,9,10,13,14,15],[0,2,3,7,9,11,12,13,14],[0,2,3,7,9,11,12,13,15],[0,2,3,7,9,11,12,14,15],[0,2,3,7,9,11,13,14,15],[0,2,3,7,9,12,13,14,15],[0,2,3,7,10,11,12,13,14],[0,2,3,7,10,11,12,13,15],[0,2,3,7,10,11,12,14,15],[0,2,3,7,10,11,13,14,15],[0,2,3,7,10,12,13,14,15],[0,2,3,7,11,12,13,14,15],[0,2,3,8,9,10,11,12,13],[0,2,3,8,9,10,11,12,14],[0,2,3,8,9,10,11,12,15],[0,2,3,8,9,10,11,13,14],[0,2,3,8,9,10,11,13,15],[0,2,3,8,9,10,11,14,15],[0,2,3,8,9,10,12,13,14],[0,2,3,8,9,10,12,13,15],[0,2,3,8,9,10,12,14,15],[0,2,3,8,9,10,13,14,15],[0,2,3,8,9,11,12,13,14],[0,2,3,8,9,11,12,13,15],[0,2,3,8,9,11,12,14,15],[0,2,3,8,9,11,13,14,15],[0,2,3,8,9,12,13,14,15],[0,2,3,8,10,11,12,13,14],[0,2,3,8,10,11,12,13,15],[0,2,3,8,10,11,12,14,15],[0,2,3,8,10,11,13,14,15],[0,2,3,8,10,12,13,14,15],[0,2,3,8,11,12,13,14,15],[0,2,3,9,10,11,12,13,14],[0,2,3,9,10,11,12,13,15],[0,2,3,9,10,11,12,14,15],[0,2,3,9,10,11,13,14,15],[0,2,3,9,10,12,13,14,15],[0,2,3,9,11,12,13,14,15],[0,2,3,10,11,12,13,14,15],[0,2,4,5,6,7,8,9,10],[0,2,4,5,6,7,8,9,11],[0,2,4,5,6,7,8,9,12],[0,2,4,5,6,7,8,9,13],[0,2,4,5,6,7,8,9,14],[0,2,4,5,6,7,8,9,15],[0,2,4,5,6,7,8,10,11],[0,2,4,5,6,7,8,10,12],[0,2,4,5,6,7,8,10,13],[0,2,4,5,6,7,8,10,14],[0,2,4,5,6,7,8,10,15],[0,2,4,5,6,7,8,11,12],[0,2,4,5,6,7,8,11,13],[0,2,4,5,6,7,8,11,14],[0,2,4,5,6,7,8,11,15],[0,2,4,5,6,7,8,12,13],[0,2,4,5,6,7,8,12,14],[0,2,4,5,6,7,8,12,15],[0,2,4,5,6,7,8,13,14],[0,2,4,5,6,7,8,13,15],[0,2,4,5,6,7,8,14,15],[0,2,4,5,6,7,9,10,11],[0,2,4,5,6,7,9,10,12],[0,2,4,5,6,7,9,10,13],[0,2,4,5,6,7,9,10,14],[0,2,4,5,6,7,9,10,15],[0,2,4,5,6,7,9,11,12],[0,2,4,5,6,7,9,11,13],[0,2,4,5,6,7,9,11,14],[0,2,4,5,6,7,9,11,15],[0,2,4,5,6,7,9,12,13],[0,2,4,5,6,7,9,12,14],[0,2,4,5,6,7,9,12,15],[0,2,4,5,6,7,9,13,14],[0,2,4,5,6,7,9,13,15],[0,2,4,5,6,7,9,14,15],[0,2,4,5,6,7,10,11,12],[0,2,4,5,6,7,10,11,13],[0,2,4,5,6,7,10,11,14],[0,2,4,5,6,7,10,11,15],[0,2,4,5,6,7,10,12,13],[0,2,4,5,6,7,10,12,14],[0,2,4,5,6,7,10,12,15],[0,2,4,5,6,7,10,13,14],[0,2,4,5,6,7,10,13,15],[0,2,4,5,6,7,10,14,15],[0,2,4,5,6,7,11,12,13],[0,2,4,5,6,7,11,12,14],[0,2,4,5,6,7,11,12,15],[0,2,4,5,6,7,11,13,14],[0,2,4,5,6,7,11,13,15],[0,2,4,5,6,7,11,14,15],[0,2,4,5,6,7,12,13,14],[0,2,4,5,6,7,12,13,15],[0,2,4,5,6,7,12,14,15],[0,2,4,5,6,7,13,14,15],[0,2,4,5,6,8,9,10,11],[0,2,4,5,6,8,9,10,12],[0,2,4,5,6,8,9,10,13],[0,2,4,5,6,8,9,10,14],[0,2,4,5,6,8,9,10,15],[0,2,4,5,6,8,9,11,12],[0,2,4,5,6,8,9,11,13],[0,2,4,5,6,8,9,11,14],[0,2,4,5,6,8,9,11,15],[0,2,4,5,6,8,9,12,13],[0,2,4,5,6,8,9,12,14],[0,2,4,5,6,8,9,12,15],[0,2,4,5,6,8,9,13,14],[0,2,4,5,6,8,9,13,15],[0,2,4,5,6,8,9,14,15],[0,2,4,5,6,8,10,11,12],[0,2,4,5,6,8,10,11,13],[0,2,4,5,6,8,10,11,14],[0,2,4,5,6,8,10,11,15],[0,2,4,5,6,8,10,12,13],[0,2,4,5,6,8,10,12,14],[0,2,4,5,6,8,10,12,15],[0,2,4,5,6,8,10,13,14],[0,2,4,5,6,8,10,13,15],[0,2,4,5,6,8,10,14,15],[0,2,4,5,6,8,11,12,13],[0,2,4,5,6,8,11,12,14],[0,2,4,5,6,8,11,12,15],[0,2,4,5,6,8,11,13,14],[0,2,4,5,6,8,11,13,15],[0,2,4,5,6,8,11,14,15],[0,2,4,5,6,8,12,13,14],[0,2,4,5,6,8,12,13,15],[0,2,4,5,6,8,12,14,15],[0,2,4,5,6,8,13,14,15],[0,2,4,5,6,9,10,11,12],[0,2,4,5,6,9,10,11,13],[0,2,4,5,6,9,10,11,14],[0,2,4,5,6,9,10,11,15],[0,2,4,5,6,9,10,12,13],[0,2,4,5,6,9,10,12,14],[0,2,4,5,6,9,10,12,15],[0,2,4,5,6,9,10,13,14],[0,2,4,5,6,9,10,13,15],[0,2,4,5,6,9,10,14,15],[0,2,4,5,6,9,11,12,13],[0,2,4,5,6,9,11,12,14],[0,2,4,5,6,9,11,12,15],[0,2,4,5,6,9,11,13,14],[0,2,4,5,6,9,11,13,15],[0,2,4,5,6,9,11,14,15],[0,2,4,5,6,9,12,13,14],[0,2,4,5,6,9,12,13,15],[0,2,4,5,6,9,12,14,15],[0,2,4,5,6,9,13,14,15],[0,2,4,5,6,10,11,12,13],[0,2,4,5,6,10,11,12,14],[0,2,4,5,6,10,11,12,15],[0,2,4,5,6,10,11,13,14],[0,2,4,5,6,10,11,13,15],[0,2,4,5,6,10,11,14,15],[0,2,4,5,6,10,12,13,14],[0,2,4,5,6,10,12,13,15],[0,2,4,5,6,10,12,14,15],[0,2,4,5,6,10,13,14,15],[0,2,4,5,6,11,12,13,14],[0,2,4,5,6,11,12,13,15],[0,2,4,5,6,11,12,14,15],[0,2,4,5,6,11,13,14,15],[0,2,4,5,6,12,13,14,15],[0,2,4,5,7,8,9,10,11],[0,2,4,5,7,8,9,10,12],[0,2,4,5,7,8,9,10,13],[0,2,4,5,7,8,9,10,14],[0,2,4,5,7,8,9,10,15],[0,2,4,5,7,8,9,11,12],[0,2,4,5,7,8,9,11,13],[0,2,4,5,7,8,9,11,14],[0,2,4,5,7,8,9,11,15],[0,2,4,5,7,8,9,12,13],[0,2,4,5,7,8,9,12,14],[0,2,4,5,7,8,9,12,15],[0,2,4,5,7,8,9,13,14],[0,2,4,5,7,8,9,13,15],[0,2,4,5,7,8,9,14,15],[0,2,4,5,7,8,10,11,12],[0,2,4,5,7,8,10,11,13],[0,2,4,5,7,8,10,11,14],[0,2,4,5,7,8,10,11,15],[0,2,4,5,7,8,10,12,13],[0,2,4,5,7,8,10,12,14],[0,2,4,5,7,8,10,12,15],[0,2,4,5,7,8,10,13,14],[0,2,4,5,7,8,10,13,15],[0,2,4,5,7,8,10,14,15],[0,2,4,5,7,8,11,12,13],[0,2,4,5,7,8,11,12,14],[0,2,4,5,7,8,11,12,15],[0,2,4,5,7,8,11,13,14],[0,2,4,5,7,8,11,13,15],[0,2,4,5,7,8,11,14,15],[0,2,4,5,7,8,12,13,14],[0,2,4,5,7,8,12,13,15],[0,2,4,5,7,8,12,14,15],[0,2,4,5,7,8,13,14,15],[0,2,4,5,7,9,10,11,12],[0,2,4,5,7,9,10,11,13],[0,2,4,5,7,9,10,11,14],[0,2,4,5,7,9,10,11,15],[0,2,4,5,7,9,10,12,13],[0,2,4,5,7,9,10,12,14],[0,2,4,5,7,9,10,12,15],[0,2,4,5,7,9,10,13,14],[0,2,4,5,7,9,10,13,15],[0,2,4,5,7,9,10,14,15],[0,2,4,5,7,9,11,12,13],[0,2,4,5,7,9,11,12,14],[0,2,4,5,7,9,11,12,15],[0,2,4,5,7,9,11,13,14],[0,2,4,5,7,9,11,13,15],[0,2,4,5,7,9,11,14,15],[0,2,4,5,7,9,12,13,14],[0,2,4,5,7,9,12,13,15],[0,2,4,5,7,9,12,14,15],[0,2,4,5,7,9,13,14,15],[0,2,4,5,7,10,11,12,13],[0,2,4,5,7,10,11,12,14],[0,2,4,5,7,10,11,12,15],[0,2,4,5,7,10,11,13,14],[0,2,4,5,7,10,11,13,15],[0,2,4,5,7,10,11,14,15],[0,2,4,5,7,10,12,13,14],[0,2,4,5,7,10,12,13,15],[0,2,4,5,7,10,12,14,15],[0,2,4,5,7,10,13,14,15],[0,2,4,5,7,11,12,13,14],[0,2,4,5,7,11,12,13,15],[0,2,4,5,7,11,12,14,15],[0,2,4,5,7,11,13,14,15],[0,2,4,5,7,12,13,14,15],[0,2,4,5,8,9,10,11,12],[0,2,4,5,8,9,10,11,13],[0,2,4,5,8,9,10,11,14],[0,2,4,5,8,9,10,11,15],[0,2,4,5,8,9,10,12,13],[0,2,4,5,8,9,10,12,14],[0,2,4,5,8,9,10,12,15],[0,2,4,5,8,9,10,13,14],[0,2,4,5,8,9,10,13,15],[0,2,4,5,8,9,10,14,15],[0,2,4,5,8,9,11,12,13],[0,2,4,5,8,9,11,12,14],[0,2,4,5,8,9,11,12,15],[0,2,4,5,8,9,11,13,14],[0,2,4,5,8,9,11,13,15],[0,2,4,5,8,9,11,14,15],[0,2,4,5,8,9,12,13,14],[0,2,4,5,8,9,12,13,15],[0,2,4,5,8,9,12,14,15],[0,2,4,5,8,9,13,14,15],[0,2,4,5,8,10,11,12,13],[0,2,4,5,8,10,11,12,14],[0,2,4,5,8,10,11,12,15],[0,2,4,5,8,10,11,13,14],[0,2,4,5,8,10,11,13,15],[0,2,4,5,8,10,11,14,15],[0,2,4,5,8,10,12,13,14],[0,2,4,5,8,10,12,13,15],[0,2,4,5,8,10,12,14,15],[0,2,4,5,8,10,13,14,15],[0,2,4,5,8,11,12,13,14],[0,2,4,5,8,11,12,13,15],[0,2,4,5,8,11,12,14,15],[0,2,4,5,8,11,13,14,15],[0,2,4,5,8,12,13,14,15],[0,2,4,5,9,10,11,12,13],[0,2,4,5,9,10,11,12,14],[0,2,4,5,9,10,11,12,15],[0,2,4,5,9,10,11,13,14],[0,2,4,5,9,10,11,13,15],[0,2,4,5,9,10,11,14,15],[0,2,4,5,9,10,12,13,14],[0,2,4,5,9,10,12,13,15],[0,2,4,5,9,10,12,14,15],[0,2,4,5,9,10,13,14,15],[0,2,4,5,9,11,12,13,14],[0,2,4,5,9,11,12,13,15],[0,2,4,5,9,11,12,14,15],[0,2,4,5,9,11,13,14,15],[0,2,4,5,9,12,13,14,15],[0,2,4,5,10,11,12,13,14],[0,2,4,5,10,11,12,13,15],[0,2,4,5,10,11,12,14,15],[0,2,4,5,10,11,13,14,15],[0,2,4,5,10,12,13,14,15],[0,2,4,5,11,12,13,14,15],[0,2,4,6,7,8,9,10,11],[0,2,4,6,7,8,9,10,12],[0,2,4,6,7,8,9,10,13],[0,2,4,6,7,8,9,10,14],[0,2,4,6,7,8,9,10,15],[0,2,4,6,7,8,9,11,12],[0,2,4,6,7,8,9,11,13],[0,2,4,6,7,8,9,11,14],[0,2,4,6,7,8,9,11,15],[0,2,4,6,7,8,9,12,13],[0,2,4,6,7,8,9,12,14],[0,2,4,6,7,8,9,12,15],[0,2,4,6,7,8,9,13,14],[0,2,4,6,7,8,9,13,15],[0,2,4,6,7,8,9,14,15],[0,2,4,6,7,8,10,11,12],[0,2,4,6,7,8,10,11,13],[0,2,4,6,7,8,10,11,14],[0,2,4,6,7,8,10,11,15],[0,2,4,6,7,8,10,12,13],[0,2,4,6,7,8,10,12,14],[0,2,4,6,7,8,10,12,15],[0,2,4,6,7,8,10,13,14],[0,2,4,6,7,8,10,13,15],[0,2,4,6,7,8,10,14,15],[0,2,4,6,7,8,11,12,13],[0,2,4,6,7,8,11,12,14],[0,2,4,6,7,8,11,12,15],[0,2,4,6,7,8,11,13,14],[0,2,4,6,7,8,11,13,15],[0,2,4,6,7,8,11,14,15],[0,2,4,6,7,8,12,13,14],[0,2,4,6,7,8,12,13,15],[0,2,4,6,7,8,12,14,15],[0,2,4,6,7,8,13,14,15],[0,2,4,6,7,9,10,11,12],[0,2,4,6,7,9,10,11,13],[0,2,4,6,7,9,10,11,14],[0,2,4,6,7,9,10,11,15],[0,2,4,6,7,9,10,12,13],[0,2,4,6,7,9,10,12,14],[0,2,4,6,7,9,10,12,15],[0,2,4,6,7,9,10,13,14],[0,2,4,6,7,9,10,13,15],[0,2,4,6,7,9,10,14,15],[0,2,4,6,7,9,11,12,13],[0,2,4,6,7,9,11,12,14],[0,2,4,6,7,9,11,12,15],[0,2,4,6,7,9,11,13,14],[0,2,4,6,7,9,11,13,15],[0,2,4,6,7,9,11,14,15],[0,2,4,6,7,9,12,13,14],[0,2,4,6,7,9,12,13,15],[0,2,4,6,7,9,12,14,15],[0,2,4,6,7,9,13,14,15],[0,2,4,6,7,10,11,12,13],[0,2,4,6,7,10,11,12,14],[0,2,4,6,7,10,11,12,15],[0,2,4,6,7,10,11,13,14],[0,2,4,6,7,10,11,13,15],[0,2,4,6,7,10,11,14,15],[0,2,4,6,7,10,12,13,14],[0,2,4,6,7,10,12,13,15],[0,2,4,6,7,10,12,14,15],[0,2,4,6,7,10,13,14,15],[0,2,4,6,7,11,12,13,14],[0,2,4,6,7,11,12,13,15],[0,2,4,6,7,11,12,14,15],[0,2,4,6,7,11,13,14,15],[0,2,4,6,7,12,13,14,15],[0,2,4,6,8,9,10,11,12],[0,2,4,6,8,9,10,11,13],[0,2,4,6,8,9,10,11,14],[0,2,4,6,8,9,10,11,15],[0,2,4,6,8,9,10,12,13],[0,2,4,6,8,9,10,12,14],[0,2,4,6,8,9,10,12,15],[0,2,4,6,8,9,10,13,14],[0,2,4,6,8,9,10,13,15],[0,2,4,6,8,9,10,14,15],[0,2,4,6,8,9,11,12,13],[0,2,4,6,8,9,11,12,14],[0,2,4,6,8,9,11,12,15],[0,2,4,6,8,9,11,13,14],[0,2,4,6,8,9,11,13,15],[0,2,4,6,8,9,11,14,15],[0,2,4,6,8,9,12,13,14],[0,2,4,6,8,9,12,13,15],[0,2,4,6,8,9,12,14,15],[0,2,4,6,8,9,13,14,15],[0,2,4,6,8,10,11,12,13],[0,2,4,6,8,10,11,12,14],[0,2,4,6,8,10,11,12,15],[0,2,4,6,8,10,11,13,14],[0,2,4,6,8,10,11,13,15],[0,2,4,6,8,10,11,14,15],[0,2,4,6,8,10,12,13,14],[0,2,4,6,8,10,12,13,15],[0,2,4,6,8,10,12,14,15],[0,2,4,6,8,10,13,14,15],[0,2,4,6,8,11,12,13,14],[0,2,4,6,8,11,12,13,15],[0,2,4,6,8,11,12,14,15],[0,2,4,6,8,11,13,14,15],[0,2,4,6,8,12,13,14,15],[0,2,4,6,9,10,11,12,13],[0,2,4,6,9,10,11,12,14],[0,2,4,6,9,10,11,12,15],[0,2,4,6,9,10,11,13,14],[0,2,4,6,9,10,11,13,15],[0,2,4,6,9,10,11,14,15],[0,2,4,6,9,10,12,13,14],[0,2,4,6,9,10,12,13,15],[0,2,4,6,9,10,12,14,15],[0,2,4,6,9,10,13,14,15],[0,2,4,6,9,11,12,13,14],[0,2,4,6,9,11,12,13,15],[0,2,4,6,9,11,12,14,15],[0,2,4,6,9,11,13,14,15],[0,2,4,6,9,12,13,14,15],[0,2,4,6,10,11,12,13,14],[0,2,4,6,10,11,12,13,15],[0,2,4,6,10,11,12,14,15],[0,2,4,6,10,11,13,14,15],[0,2,4,6,10,12,13,14,15],[0,2,4,6,11,12,13,14,15],[0,2,4,7,8,9,10,11,12],[0,2,4,7,8,9,10,11,13],[0,2,4,7,8,9,10,11,14],[0,2,4,7,8,9,10,11,15],[0,2,4,7,8,9,10,12,13],[0,2,4,7,8,9,10,12,14],[0,2,4,7,8,9,10,12,15],[0,2,4,7,8,9,10,13,14],[0,2,4,7,8,9,10,13,15],[0,2,4,7,8,9,10,14,15],[0,2,4,7,8,9,11,12,13],[0,2,4,7,8,9,11,12,14],[0,2,4,7,8,9,11,12,15],[0,2,4,7,8,9,11,13,14],[0,2,4,7,8,9,11,13,15],[0,2,4,7,8,9,11,14,15],[0,2,4,7,8,9,12,13,14],[0,2,4,7,8,9,12,13,15],[0,2,4,7,8,9,12,14,15],[0,2,4,7,8,9,13,14,15],[0,2,4,7,8,10,11,12,13],[0,2,4,7,8,10,11,12,14],[0,2,4,7,8,10,11,12,15],[0,2,4,7,8,10,11,13,14],[0,2,4,7,8,10,11,13,15],[0,2,4,7,8,10,11,14,15],[0,2,4,7,8,10,12,13,14],[0,2,4,7,8,10,12,13,15],[0,2,4,7,8,10,12,14,15],[0,2,4,7,8,10,13,14,15],[0,2,4,7,8,11,12,13,14],[0,2,4,7,8,11,12,13,15],[0,2,4,7,8,11,12,14,15],[0,2,4,7,8,11,13,14,15],[0,2,4,7,8,12,13,14,15],[0,2,4,7,9,10,11,12,13],[0,2,4,7,9,10,11,12,14],[0,2,4,7,9,10,11,12,15],[0,2,4,7,9,10,11,13,14],[0,2,4,7,9,10,11,13,15],[0,2,4,7,9,10,11,14,15],[0,2,4,7,9,10,12,13,14],[0,2,4,7,9,10,12,13,15],[0,2,4,7,9,10,12,14,15],[0,2,4,7,9,10,13,14,15],[0,2,4,7,9,11,12,13,14],[0,2,4,7,9,11,12,13,15],[0,2,4,7,9,11,12,14,15],[0,2,4,7,9,11,13,14,15],[0,2,4,7,9,12,13,14,15],[0,2,4,7,10,11,12,13,14],[0,2,4,7,10,11,12,13,15],[0,2,4,7,10,11,12,14,15],[0,2,4,7,10,11,13,14,15],[0,2,4,7,10,12,13,14,15],[0,2,4,7,11,12,13,14,15],[0,2,4,8,9,10,11,12,13],[0,2,4,8,9,10,11,12,14],[0,2,4,8,9,10,11,12,15],[0,2,4,8,9,10,11,13,14],[0,2,4,8,9,10,11,13,15],[0,2,4,8,9,10,11,14,15],[0,2,4,8,9,10,12,13,14],[0,2,4,8,9,10,12,13,15],[0,2,4,8,9,10,12,14,15],[0,2,4,8,9,10,13,14,15],[0,2,4,8,9,11,12,13,14],[0,2,4,8,9,11,12,13,15],[0,2,4,8,9,11,12,14,15],[0,2,4,8,9,11,13,14,15],[0,2,4,8,9,12,13,14,15],[0,2,4,8,10,11,12,13,14],[0,2,4,8,10,11,12,13,15],[0,2,4,8,10,11,12,14,15],[0,2,4,8,10,11,13,14,15],[0,2,4,8,10,12,13,14,15],[0,2,4,8,11,12,13,14,15],[0,2,4,9,10,11,12,13,14],[0,2,4,9,10,11,12,13,15],[0,2,4,9,10,11,12,14,15],[0,2,4,9,10,11,13,14,15],[0,2,4,9,10,12,13,14,15],[0,2,4,9,11,12,13,14,15],[0,2,4,10,11,12,13,14,15],[0,2,5,6,7,8,9,10,11],[0,2,5,6,7,8,9,10,12],[0,2,5,6,7,8,9,10,13],[0,2,5,6,7,8,9,10,14],[0,2,5,6,7,8,9,10,15],[0,2,5,6,7,8,9,11,12],[0,2,5,6,7,8,9,11,13],[0,2,5,6,7,8,9,11,14],[0,2,5,6,7,8,9,11,15],[0,2,5,6,7,8,9,12,13],[0,2,5,6,7,8,9,12,14],[0,2,5,6,7,8,9,12,15],[0,2,5,6,7,8,9,13,14],[0,2,5,6,7,8,9,13,15],[0,2,5,6,7,8,9,14,15],[0,2,5,6,7,8,10,11,12],[0,2,5,6,7,8,10,11,13],[0,2,5,6,7,8,10,11,14],[0,2,5,6,7,8,10,11,15],[0,2,5,6,7,8,10,12,13],[0,2,5,6,7,8,10,12,14],[0,2,5,6,7,8,10,12,15],[0,2,5,6,7,8,10,13,14],[0,2,5,6,7,8,10,13,15],[0,2,5,6,7,8,10,14,15],[0,2,5,6,7,8,11,12,13],[0,2,5,6,7,8,11,12,14],[0,2,5,6,7,8,11,12,15],[0,2,5,6,7,8,11,13,14],[0,2,5,6,7,8,11,13,15],[0,2,5,6,7,8,11,14,15],[0,2,5,6,7,8,12,13,14],[0,2,5,6,7,8,12,13,15],[0,2,5,6,7,8,12,14,15],[0,2,5,6,7,8,13,14,15],[0,2,5,6,7,9,10,11,12],[0,2,5,6,7,9,10,11,13],[0,2,5,6,7,9,10,11,14],[0,2,5,6,7,9,10,11,15],[0,2,5,6,7,9,10,12,13],[0,2,5,6,7,9,10,12,14],[0,2,5,6,7,9,10,12,15],[0,2,5,6,7,9,10,13,14],[0,2,5,6,7,9,10,13,15],[0,2,5,6,7,9,10,14,15],[0,2,5,6,7,9,11,12,13],[0,2,5,6,7,9,11,12,14],[0,2,5,6,7,9,11,12,15],[0,2,5,6,7,9,11,13,14],[0,2,5,6,7,9,11,13,15],[0,2,5,6,7,9,11,14,15],[0,2,5,6,7,9,12,13,14],[0,2,5,6,7,9,12,13,15],[0,2,5,6,7,9,12,14,15],[0,2,5,6,7,9,13,14,15],[0,2,5,6,7,10,11,12,13],[0,2,5,6,7,10,11,12,14],[0,2,5,6,7,10,11,12,15],[0,2,5,6,7,10,11,13,14],[0,2,5,6,7,10,11,13,15],[0,2,5,6,7,10,11,14,15],[0,2,5,6,7,10,12,13,14],[0,2,5,6,7,10,12,13,15],[0,2,5,6,7,10,12,14,15],[0,2,5,6,7,10,13,14,15],[0,2,5,6,7,11,12,13,14],[0,2,5,6,7,11,12,13,15],[0,2,5,6,7,11,12,14,15],[0,2,5,6,7,11,13,14,15],[0,2,5,6,7,12,13,14,15],[0,2,5,6,8,9,10,11,12],[0,2,5,6,8,9,10,11,13],[0,2,5,6,8,9,10,11,14],[0,2,5,6,8,9,10,11,15],[0,2,5,6,8,9,10,12,13],[0,2,5,6,8,9,10,12,14],[0,2,5,6,8,9,10,12,15],[0,2,5,6,8,9,10,13,14],[0,2,5,6,8,9,10,13,15],[0,2,5,6,8,9,10,14,15],[0,2,5,6,8,9,11,12,13],[0,2,5,6,8,9,11,12,14],[0,2,5,6,8,9,11,12,15],[0,2,5,6,8,9,11,13,14],[0,2,5,6,8,9,11,13,15],[0,2,5,6,8,9,11,14,15],[0,2,5,6,8,9,12,13,14],[0,2,5,6,8,9,12,13,15],[0,2,5,6,8,9,12,14,15],[0,2,5,6,8,9,13,14,15],[0,2,5,6,8,10,11,12,13],[0,2,5,6,8,10,11,12,14],[0,2,5,6,8,10,11,12,15],[0,2,5,6,8,10,11,13,14],[0,2,5,6,8,10,11,13,15],[0,2,5,6,8,10,11,14,15],[0,2,5,6,8,10,12,13,14],[0,2,5,6,8,10,12,13,15],[0,2,5,6,8,10,12,14,15],[0,2,5,6,8,10,13,14,15],[0,2,5,6,8,11,12,13,14],[0,2,5,6,8,11,12,13,15],[0,2,5,6,8,11,12,14,15],[0,2,5,6,8,11,13,14,15],[0,2,5,6,8,12,13,14,15],[0,2,5,6,9,10,11,12,13],[0,2,5,6,9,10,11,12,14],[0,2,5,6,9,10,11,12,15],[0,2,5,6,9,10,11,13,14],[0,2,5,6,9,10,11,13,15],[0,2,5,6,9,10,11,14,15],[0,2,5,6,9,10,12,13,14],[0,2,5,6,9,10,12,13,15],[0,2,5,6,9,10,12,14,15],[0,2,5,6,9,10,13,14,15],[0,2,5,6,9,11,12,13,14],[0,2,5,6,9,11,12,13,15],[0,2,5,6,9,11,12,14,15],[0,2,5,6,9,11,13,14,15],[0,2,5,6,9,12,13,14,15],[0,2,5,6,10,11,12,13,14],[0,2,5,6,10,11,12,13,15],[0,2,5,6,10,11,12,14,15],[0,2,5,6,10,11,13,14,15],[0,2,5,6,10,12,13,14,15],[0,2,5,6,11,12,13,14,15],[0,2,5,7,8,9,10,11,12],[0,2,5,7,8,9,10,11,13],[0,2,5,7,8,9,10,11,14],[0,2,5,7,8,9,10,11,15],[0,2,5,7,8,9,10,12,13],[0,2,5,7,8,9,10,12,14],[0,2,5,7,8,9,10,12,15],[0,2,5,7,8,9,10,13,14],[0,2,5,7,8,9,10,13,15],[0,2,5,7,8,9,10,14,15],[0,2,5,7,8,9,11,12,13],[0,2,5,7,8,9,11,12,14],[0,2,5,7,8,9,11,12,15],[0,2,5,7,8,9,11,13,14],[0,2,5,7,8,9,11,13,15],[0,2,5,7,8,9,11,14,15],[0,2,5,7,8,9,12,13,14],[0,2,5,7,8,9,12,13,15],[0,2,5,7,8,9,12,14,15],[0,2,5,7,8,9,13,14,15],[0,2,5,7,8,10,11,12,13],[0,2,5,7,8,10,11,12,14],[0,2,5,7,8,10,11,12,15],[0,2,5,7,8,10,11,13,14],[0,2,5,7,8,10,11,13,15],[0,2,5,7,8,10,11,14,15],[0,2,5,7,8,10,12,13,14],[0,2,5,7,8,10,12,13,15],[0,2,5,7,8,10,12,14,15],[0,2,5,7,8,10,13,14,15],[0,2,5,7,8,11,12,13,14],[0,2,5,7,8,11,12,13,15],[0,2,5,7,8,11,12,14,15],[0,2,5,7,8,11,13,14,15],[0,2,5,7,8,12,13,14,15],[0,2,5,7,9,10,11,12,13],[0,2,5,7,9,10,11,12,14],[0,2,5,7,9,10,11,12,15],[0,2,5,7,9,10,11,13,14],[0,2,5,7,9,10,11,13,15],[0,2,5,7,9,10,11,14,15],[0,2,5,7,9,10,12,13,14],[0,2,5,7,9,10,12,13,15],[0,2,5,7,9,10,12,14,15],[0,2,5,7,9,10,13,14,15],[0,2,5,7,9,11,12,13,14],[0,2,5,7,9,11,12,13,15],[0,2,5,7,9,11,12,14,15],[0,2,5,7,9,11,13,14,15],[0,2,5,7,9,12,13,14,15],[0,2,5,7,10,11,12,13,14],[0,2,5,7,10,11,12,13,15],[0,2,5,7,10,11,12,14,15],[0,2,5,7,10,11,13,14,15],[0,2,5,7,10,12,13,14,15],[0,2,5,7,11,12,13,14,15],[0,2,5,8,9,10,11,12,13],[0,2,5,8,9,10,11,12,14],[0,2,5,8,9,10,11,12,15],[0,2,5,8,9,10,11,13,14],[0,2,5,8,9,10,11,13,15],[0,2,5,8,9,10,11,14,15],[0,2,5,8,9,10,12,13,14],[0,2,5,8,9,10,12,13,15],[0,2,5,8,9,10,12,14,15],[0,2,5,8,9,10,13,14,15],[0,2,5,8,9,11,12,13,14],[0,2,5,8,9,11,12,13,15],[0,2,5,8,9,11,12,14,15],[0,2,5,8,9,11,13,14,15],[0,2,5,8,9,12,13,14,15],[0,2,5,8,10,11,12,13,14],[0,2,5,8,10,11,12,13,15],[0,2,5,8,10,11,12,14,15],[0,2,5,8,10,11,13,14,15],[0,2,5,8,10,12,13,14,15],[0,2,5,8,11,12,13,14,15],[0,2,5,9,10,11,12,13,14],[0,2,5,9,10,11,12,13,15],[0,2,5,9,10,11,12,14,15],[0,2,5,9,10,11,13,14,15],[0,2,5,9,10,12,13,14,15],[0,2,5,9,11,12,13,14,15],[0,2,5,10,11,12,13,14,15],[0,2,6,7,8,9,10,11,12],[0,2,6,7,8,9,10,11,13],[0,2,6,7,8,9,10,11,14],[0,2,6,7,8,9,10,11,15],[0,2,6,7,8,9,10,12,13],[0,2,6,7,8,9,10,12,14],[0,2,6,7,8,9,10,12,15],[0,2,6,7,8,9,10,13,14],[0,2,6,7,8,9,10,13,15],[0,2,6,7,8,9,10,14,15],[0,2,6,7,8,9,11,12,13],[0,2,6,7,8,9,11,12,14],[0,2,6,7,8,9,11,12,15],[0,2,6,7,8,9,11,13,14],[0,2,6,7,8,9,11,13,15],[0,2,6,7,8,9,11,14,15],[0,2,6,7,8,9,12,13,14],[0,2,6,7,8,9,12,13,15],[0,2,6,7,8,9,12,14,15],[0,2,6,7,8,9,13,14,15],[0,2,6,7,8,10,11,12,13],[0,2,6,7,8,10,11,12,14],[0,2,6,7,8,10,11,12,15],[0,2,6,7,8,10,11,13,14],[0,2,6,7,8,10,11,13,15],[0,2,6,7,8,10,11,14,15],[0,2,6,7,8,10,12,13,14],[0,2,6,7,8,10,12,13,15],[0,2,6,7,8,10,12,14,15],[0,2,6,7,8,10,13,14,15],[0,2,6,7,8,11,12,13,14],[0,2,6,7,8,11,12,13,15],[0,2,6,7,8,11,12,14,15],[0,2,6,7,8,11,13,14,15],[0,2,6,7,8,12,13,14,15],[0,2,6,7,9,10,11,12,13],[0,2,6,7,9,10,11,12,14],[0,2,6,7,9,10,11,12,15],[0,2,6,7,9,10,11,13,14],[0,2,6,7,9,10,11,13,15],[0,2,6,7,9,10,11,14,15],[0,2,6,7,9,10,12,13,14],[0,2,6,7,9,10,12,13,15],[0,2,6,7,9,10,12,14,15],[0,2,6,7,9,10,13,14,15],[0,2,6,7,9,11,12,13,14],[0,2,6,7,9,11,12,13,15],[0,2,6,7,9,11,12,14,15],[0,2,6,7,9,11,13,14,15],[0,2,6,7,9,12,13,14,15],[0,2,6,7,10,11,12,13,14],[0,2,6,7,10,11,12,13,15],[0,2,6,7,10,11,12,14,15],[0,2,6,7,10,11,13,14,15],[0,2,6,7,10,12,13,14,15],[0,2,6,7,11,12,13,14,15],[0,2,6,8,9,10,11,12,13],[0,2,6,8,9,10,11,12,14],[0,2,6,8,9,10,11,12,15],[0,2,6,8,9,10,11,13,14],[0,2,6,8,9,10,11,13,15],[0,2,6,8,9,10,11,14,15],[0,2,6,8,9,10,12,13,14],[0,2,6,8,9,10,12,13,15],[0,2,6,8,9,10,12,14,15],[0,2,6,8,9,10,13,14,15],[0,2,6,8,9,11,12,13,14],[0,2,6,8,9,11,12,13,15],[0,2,6,8,9,11,12,14,15],[0,2,6,8,9,11,13,14,15],[0,2,6,8,9,12,13,14,15],[0,2,6,8,10,11,12,13,14],[0,2,6,8,10,11,12,13,15],[0,2,6,8,10,11,12,14,15],[0,2,6,8,10,11,13,14,15],[0,2,6,8,10,12,13,14,15],[0,2,6,8,11,12,13,14,15],[0,2,6,9,10,11,12,13,14],[0,2,6,9,10,11,12,13,15],[0,2,6,9,10,11,12,14,15],[0,2,6,9,10,11,13,14,15],[0,2,6,9,10,12,13,14,15],[0,2,6,9,11,12,13,14,15],[0,2,6,10,11,12,13,14,15],[0,2,7,8,9,10,11,12,13],[0,2,7,8,9,10,11,12,14],[0,2,7,8,9,10,11,12,15],[0,2,7,8,9,10,11,13,14],[0,2,7,8,9,10,11,13,15],[0,2,7,8,9,10,11,14,15],[0,2,7,8,9,10,12,13,14],[0,2,7,8,9,10,12,13,15],[0,2,7,8,9,10,12,14,15],[0,2,7,8,9,10,13,14,15],[0,2,7,8,9,11,12,13,14],[0,2,7,8,9,11,12,13,15],[0,2,7,8,9,11,12,14,15],[0,2,7,8,9,11,13,14,15],[0,2,7,8,9,12,13,14,15],[0,2,7,8,10,11,12,13,14],[0,2,7,8,10,11,12,13,15],[0,2,7,8,10,11,12,14,15],[0,2,7,8,10,11,13,14,15],[0,2,7,8,10,12,13,14,15],[0,2,7,8,11,12,13,14,15],[0,2,7,9,10,11,12,13,14],[0,2,7,9,10,11,12,13,15],[0,2,7,9,10,11,12,14,15],[0,2,7,9,10,11,13,14,15],[0,2,7,9,10,12,13,14,15],[0,2,7,9,11,12,13,14,15],[0,2,7,10,11,12,13,14,15],[0,2,8,9,10,11,12,13,14],[0,2,8,9,10,11,12,13,15],[0,2,8,9,10,11,12,14,15],[0,2,8,9,10,11,13,14,15],[0,2,8,9,10,12,13,14,15],[0,2,8,9,11,12,13,14,15],[0,2,8,10,11,12,13,14,15],[0,2,9,10,11,12,13,14,15],[0,3,4,5,6,7,8,9,10],[0,3,4,5,6,7,8,9,11],[0,3,4,5,6,7,8,9,12],[0,3,4,5,6,7,8,9,13],[0,3,4,5,6,7,8,9,14],[0,3,4,5,6,7,8,9,15],[0,3,4,5,6,7,8,10,11],[0,3,4,5,6,7,8,10,12],[0,3,4,5,6,7,8,10,13],[0,3,4,5,6,7,8,10,14],[0,3,4,5,6,7,8,10,15],[0,3,4,5,6,7,8,11,12],[0,3,4,5,6,7,8,11,13],[0,3,4,5,6,7,8,11,14],[0,3,4,5,6,7,8,11,15],[0,3,4,5,6,7,8,12,13],[0,3,4,5,6,7,8,12,14],[0,3,4,5,6,7,8,12,15],[0,3,4,5,6,7,8,13,14],[0,3,4,5,6,7,8,13,15],[0,3,4,5,6,7,8,14,15],[0,3,4,5,6,7,9,10,11],[0,3,4,5,6,7,9,10,12],[0,3,4,5,6,7,9,10,13],[0,3,4,5,6,7,9,10,14],[0,3,4,5,6,7,9,10,15],[0,3,4,5,6,7,9,11,12],[0,3,4,5,6,7,9,11,13],[0,3,4,5,6,7,9,11,14],[0,3,4,5,6,7,9,11,15],[0,3,4,5,6,7,9,12,13],[0,3,4,5,6,7,9,12,14],[0,3,4,5,6,7,9,12,15],[0,3,4,5,6,7,9,13,14],[0,3,4,5,6,7,9,13,15],[0,3,4,5,6,7,9,14,15],[0,3,4,5,6,7,10,11,12],[0,3,4,5,6,7,10,11,13],[0,3,4,5,6,7,10,11,14],[0,3,4,5,6,7,10,11,15],[0,3,4,5,6,7,10,12,13],[0,3,4,5,6,7,10,12,14],[0,3,4,5,6,7,10,12,15],[0,3,4,5,6,7,10,13,14],[0,3,4,5,6,7,10,13,15],[0,3,4,5,6,7,10,14,15],[0,3,4,5,6,7,11,12,13],[0,3,4,5,6,7,11,12,14],[0,3,4,5,6,7,11,12,15],[0,3,4,5,6,7,11,13,14],[0,3,4,5,6,7,11,13,15],[0,3,4,5,6,7,11,14,15],[0,3,4,5,6,7,12,13,14],[0,3,4,5,6,7,12,13,15],[0,3,4,5,6,7,12,14,15],[0,3,4,5,6,7,13,14,15],[0,3,4,5,6,8,9,10,11],[0,3,4,5,6,8,9,10,12],[0,3,4,5,6,8,9,10,13],[0,3,4,5,6,8,9,10,14],[0,3,4,5,6,8,9,10,15],[0,3,4,5,6,8,9,11,12],[0,3,4,5,6,8,9,11,13],[0,3,4,5,6,8,9,11,14],[0,3,4,5,6,8,9,11,15],[0,3,4,5,6,8,9,12,13],[0,3,4,5,6,8,9,12,14],[0,3,4,5,6,8,9,12,15],[0,3,4,5,6,8,9,13,14],[0,3,4,5,6,8,9,13,15],[0,3,4,5,6,8,9,14,15],[0,3,4,5,6,8,10,11,12],[0,3,4,5,6,8,10,11,13],[0,3,4,5,6,8,10,11,14],[0,3,4,5,6,8,10,11,15],[0,3,4,5,6,8,10,12,13],[0,3,4,5,6,8,10,12,14],[0,3,4,5,6,8,10,12,15],[0,3,4,5,6,8,10,13,14],[0,3,4,5,6,8,10,13,15],[0,3,4,5,6,8,10,14,15],[0,3,4,5,6,8,11,12,13],[0,3,4,5,6,8,11,12,14],[0,3,4,5,6,8,11,12,15],[0,3,4,5,6,8,11,13,14],[0,3,4,5,6,8,11,13,15],[0,3,4,5,6,8,11,14,15],[0,3,4,5,6,8,12,13,14],[0,3,4,5,6,8,12,13,15],[0,3,4,5,6,8,12,14,15],[0,3,4,5,6,8,13,14,15],[0,3,4,5,6,9,10,11,12],[0,3,4,5,6,9,10,11,13],[0,3,4,5,6,9,10,11,14],[0,3,4,5,6,9,10,11,15],[0,3,4,5,6,9,10,12,13],[0,3,4,5,6,9,10,12,14],[0,3,4,5,6,9,10,12,15],[0,3,4,5,6,9,10,13,14],[0,3,4,5,6,9,10,13,15],[0,3,4,5,6,9,10,14,15],[0,3,4,5,6,9,11,12,13],[0,3,4,5,6,9,11,12,14],[0,3,4,5,6,9,11,12,15],[0,3,4,5,6,9,11,13,14],[0,3,4,5,6,9,11,13,15],[0,3,4,5,6,9,11,14,15],[0,3,4,5,6,9,12,13,14],[0,3,4,5,6,9,12,13,15],[0,3,4,5,6,9,12,14,15],[0,3,4,5,6,9,13,14,15],[0,3,4,5,6,10,11,12,13],[0,3,4,5,6,10,11,12,14],[0,3,4,5,6,10,11,12,15],[0,3,4,5,6,10,11,13,14],[0,3,4,5,6,10,11,13,15],[0,3,4,5,6,10,11,14,15],[0,3,4,5,6,10,12,13,14],[0,3,4,5,6,10,12,13,15],[0,3,4,5,6,10,12,14,15],[0,3,4,5,6,10,13,14,15],[0,3,4,5,6,11,12,13,14],[0,3,4,5,6,11,12,13,15],[0,3,4,5,6,11,12,14,15],[0,3,4,5,6,11,13,14,15],[0,3,4,5,6,12,13,14,15],[0,3,4,5,7,8,9,10,11],[0,3,4,5,7,8,9,10,12],[0,3,4,5,7,8,9,10,13],[0,3,4,5,7,8,9,10,14],[0,3,4,5,7,8,9,10,15],[0,3,4,5,7,8,9,11,12],[0,3,4,5,7,8,9,11,13],[0,3,4,5,7,8,9,11,14],[0,3,4,5,7,8,9,11,15],[0,3,4,5,7,8,9,12,13],[0,3,4,5,7,8,9,12,14],[0,3,4,5,7,8,9,12,15],[0,3,4,5,7,8,9,13,14],[0,3,4,5,7,8,9,13,15],[0,3,4,5,7,8,9,14,15],[0,3,4,5,7,8,10,11,12],[0,3,4,5,7,8,10,11,13],[0,3,4,5,7,8,10,11,14],[0,3,4,5,7,8,10,11,15],[0,3,4,5,7,8,10,12,13],[0,3,4,5,7,8,10,12,14],[0,3,4,5,7,8,10,12,15],[0,3,4,5,7,8,10,13,14],[0,3,4,5,7,8,10,13,15],[0,3,4,5,7,8,10,14,15],[0,3,4,5,7,8,11,12,13],[0,3,4,5,7,8,11,12,14],[0,3,4,5,7,8,11,12,15],[0,3,4,5,7,8,11,13,14],[0,3,4,5,7,8,11,13,15],[0,3,4,5,7,8,11,14,15],[0,3,4,5,7,8,12,13,14],[0,3,4,5,7,8,12,13,15],[0,3,4,5,7,8,12,14,15],[0,3,4,5,7,8,13,14,15],[0,3,4,5,7,9,10,11,12],[0,3,4,5,7,9,10,11,13],[0,3,4,5,7,9,10,11,14],[0,3,4,5,7,9,10,11,15],[0,3,4,5,7,9,10,12,13],[0,3,4,5,7,9,10,12,14],[0,3,4,5,7,9,10,12,15],[0,3,4,5,7,9,10,13,14],[0,3,4,5,7,9,10,13,15],[0,3,4,5,7,9,10,14,15],[0,3,4,5,7,9,11,12,13],[0,3,4,5,7,9,11,12,14],[0,3,4,5,7,9,11,12,15],[0,3,4,5,7,9,11,13,14],[0,3,4,5,7,9,11,13,15],[0,3,4,5,7,9,11,14,15],[0,3,4,5,7,9,12,13,14],[0,3,4,5,7,9,12,13,15],[0,3,4,5,7,9,12,14,15],[0,3,4,5,7,9,13,14,15],[0,3,4,5,7,10,11,12,13],[0,3,4,5,7,10,11,12,14],[0,3,4,5,7,10,11,12,15],[0,3,4,5,7,10,11,13,14],[0,3,4,5,7,10,11,13,15],[0,3,4,5,7,10,11,14,15],[0,3,4,5,7,10,12,13,14],[0,3,4,5,7,10,12,13,15],[0,3,4,5,7,10,12,14,15],[0,3,4,5,7,10,13,14,15],[0,3,4,5,7,11,12,13,14],[0,3,4,5,7,11,12,13,15],[0,3,4,5,7,11,12,14,15],[0,3,4,5,7,11,13,14,15],[0,3,4,5,7,12,13,14,15],[0,3,4,5,8,9,10,11,12],[0,3,4,5,8,9,10,11,13],[0,3,4,5,8,9,10,11,14],[0,3,4,5,8,9,10,11,15],[0,3,4,5,8,9,10,12,13],[0,3,4,5,8,9,10,12,14],[0,3,4,5,8,9,10,12,15],[0,3,4,5,8,9,10,13,14],[0,3,4,5,8,9,10,13,15],[0,3,4,5,8,9,10,14,15],[0,3,4,5,8,9,11,12,13],[0,3,4,5,8,9,11,12,14],[0,3,4,5,8,9,11,12,15],[0,3,4,5,8,9,11,13,14],[0,3,4,5,8,9,11,13,15],[0,3,4,5,8,9,11,14,15],[0,3,4,5,8,9,12,13,14],[0,3,4,5,8,9,12,13,15],[0,3,4,5,8,9,12,14,15],[0,3,4,5,8,9,13,14,15],[0,3,4,5,8,10,11,12,13],[0,3,4,5,8,10,11,12,14],[0,3,4,5,8,10,11,12,15],[0,3,4,5,8,10,11,13,14],[0,3,4,5,8,10,11,13,15],[0,3,4,5,8,10,11,14,15],[0,3,4,5,8,10,12,13,14],[0,3,4,5,8,10,12,13,15],[0,3,4,5,8,10,12,14,15],[0,3,4,5,8,10,13,14,15],[0,3,4,5,8,11,12,13,14],[0,3,4,5,8,11,12,13,15],[0,3,4,5,8,11,12,14,15],[0,3,4,5,8,11,13,14,15],[0,3,4,5,8,12,13,14,15],[0,3,4,5,9,10,11,12,13],[0,3,4,5,9,10,11,12,14],[0,3,4,5,9,10,11,12,15],[0,3,4,5,9,10,11,13,14],[0,3,4,5,9,10,11,13,15],[0,3,4,5,9,10,11,14,15],[0,3,4,5,9,10,12,13,14],[0,3,4,5,9,10,12,13,15],[0,3,4,5,9,10,12,14,15],[0,3,4,5,9,10,13,14,15],[0,3,4,5,9,11,12,13,14],[0,3,4,5,9,11,12,13,15],[0,3,4,5,9,11,12,14,15],[0,3,4,5,9,11,13,14,15],[0,3,4,5,9,12,13,14,15],[0,3,4,5,10,11,12,13,14],[0,3,4,5,10,11,12,13,15],[0,3,4,5,10,11,12,14,15],[0,3,4,5,10,11,13,14,15],[0,3,4,5,10,12,13,14,15],[0,3,4,5,11,12,13,14,15],[0,3,4,6,7,8,9,10,11],[0,3,4,6,7,8,9,10,12],[0,3,4,6,7,8,9,10,13],[0,3,4,6,7,8,9,10,14],[0,3,4,6,7,8,9,10,15],[0,3,4,6,7,8,9,11,12],[0,3,4,6,7,8,9,11,13],[0,3,4,6,7,8,9,11,14],[0,3,4,6,7,8,9,11,15],[0,3,4,6,7,8,9,12,13],[0,3,4,6,7,8,9,12,14],[0,3,4,6,7,8,9,12,15],[0,3,4,6,7,8,9,13,14],[0,3,4,6,7,8,9,13,15],[0,3,4,6,7,8,9,14,15],[0,3,4,6,7,8,10,11,12],[0,3,4,6,7,8,10,11,13],[0,3,4,6,7,8,10,11,14],[0,3,4,6,7,8,10,11,15],[0,3,4,6,7,8,10,12,13],[0,3,4,6,7,8,10,12,14],[0,3,4,6,7,8,10,12,15],[0,3,4,6,7,8,10,13,14],[0,3,4,6,7,8,10,13,15],[0,3,4,6,7,8,10,14,15],[0,3,4,6,7,8,11,12,13],[0,3,4,6,7,8,11,12,14],[0,3,4,6,7,8,11,12,15],[0,3,4,6,7,8,11,13,14],[0,3,4,6,7,8,11,13,15],[0,3,4,6,7,8,11,14,15],[0,3,4,6,7,8,12,13,14],[0,3,4,6,7,8,12,13,15],[0,3,4,6,7,8,12,14,15],[0,3,4,6,7,8,13,14,15],[0,3,4,6,7,9,10,11,12],[0,3,4,6,7,9,10,11,13],[0,3,4,6,7,9,10,11,14],[0,3,4,6,7,9,10,11,15],[0,3,4,6,7,9,10,12,13],[0,3,4,6,7,9,10,12,14],[0,3,4,6,7,9,10,12,15],[0,3,4,6,7,9,10,13,14],[0,3,4,6,7,9,10,13,15],[0,3,4,6,7,9,10,14,15],[0,3,4,6,7,9,11,12,13],[0,3,4,6,7,9,11,12,14],[0,3,4,6,7,9,11,12,15],[0,3,4,6,7,9,11,13,14],[0,3,4,6,7,9,11,13,15],[0,3,4,6,7,9,11,14,15],[0,3,4,6,7,9,12,13,14],[0,3,4,6,7,9,12,13,15],[0,3,4,6,7,9,12,14,15],[0,3,4,6,7,9,13,14,15],[0,3,4,6,7,10,11,12,13],[0,3,4,6,7,10,11,12,14],[0,3,4,6,7,10,11,12,15],[0,3,4,6,7,10,11,13,14],[0,3,4,6,7,10,11,13,15],[0,3,4,6,7,10,11,14,15],[0,3,4,6,7,10,12,13,14],[0,3,4,6,7,10,12,13,15],[0,3,4,6,7,10,12,14,15],[0,3,4,6,7,10,13,14,15],[0,3,4,6,7,11,12,13,14],[0,3,4,6,7,11,12,13,15],[0,3,4,6,7,11,12,14,15],[0,3,4,6,7,11,13,14,15],[0,3,4,6,7,12,13,14,15],[0,3,4,6,8,9,10,11,12],[0,3,4,6,8,9,10,11,13],[0,3,4,6,8,9,10,11,14],[0,3,4,6,8,9,10,11,15],[0,3,4,6,8,9,10,12,13],[0,3,4,6,8,9,10,12,14],[0,3,4,6,8,9,10,12,15],[0,3,4,6,8,9,10,13,14],[0,3,4,6,8,9,10,13,15],[0,3,4,6,8,9,10,14,15],[0,3,4,6,8,9,11,12,13],[0,3,4,6,8,9,11,12,14],[0,3,4,6,8,9,11,12,15],[0,3,4,6,8,9,11,13,14],[0,3,4,6,8,9,11,13,15],[0,3,4,6,8,9,11,14,15],[0,3,4,6,8,9,12,13,14],[0,3,4,6,8,9,12,13,15],[0,3,4,6,8,9,12,14,15],[0,3,4,6,8,9,13,14,15],[0,3,4,6,8,10,11,12,13],[0,3,4,6,8,10,11,12,14],[0,3,4,6,8,10,11,12,15],[0,3,4,6,8,10,11,13,14],[0,3,4,6,8,10,11,13,15],[0,3,4,6,8,10,11,14,15],[0,3,4,6,8,10,12,13,14],[0,3,4,6,8,10,12,13,15],[0,3,4,6,8,10,12,14,15],[0,3,4,6,8,10,13,14,15],[0,3,4,6,8,11,12,13,14],[0,3,4,6,8,11,12,13,15],[0,3,4,6,8,11,12,14,15],[0,3,4,6,8,11,13,14,15],[0,3,4,6,8,12,13,14,15],[0,3,4,6,9,10,11,12,13],[0,3,4,6,9,10,11,12,14],[0,3,4,6,9,10,11,12,15],[0,3,4,6,9,10,11,13,14],[0,3,4,6,9,10,11,13,15],[0,3,4,6,9,10,11,14,15],[0,3,4,6,9,10,12,13,14],[0,3,4,6,9,10,12,13,15],[0,3,4,6,9,10,12,14,15],[0,3,4,6,9,10,13,14,15],[0,3,4,6,9,11,12,13,14],[0,3,4,6,9,11,12,13,15],[0,3,4,6,9,11,12,14,15],[0,3,4,6,9,11,13,14,15],[0,3,4,6,9,12,13,14,15],[0,3,4,6,10,11,12,13,14],[0,3,4,6,10,11,12,13,15],[0,3,4,6,10,11,12,14,15],[0,3,4,6,10,11,13,14,15],[0,3,4,6,10,12,13,14,15],[0,3,4,6,11,12,13,14,15],[0,3,4,7,8,9,10,11,12],[0,3,4,7,8,9,10,11,13],[0,3,4,7,8,9,10,11,14],[0,3,4,7,8,9,10,11,15],[0,3,4,7,8,9,10,12,13],[0,3,4,7,8,9,10,12,14],[0,3,4,7,8,9,10,12,15],[0,3,4,7,8,9,10,13,14],[0,3,4,7,8,9,10,13,15],[0,3,4,7,8,9,10,14,15],[0,3,4,7,8,9,11,12,13],[0,3,4,7,8,9,11,12,14],[0,3,4,7,8,9,11,12,15],[0,3,4,7,8,9,11,13,14],[0,3,4,7,8,9,11,13,15],[0,3,4,7,8,9,11,14,15],[0,3,4,7,8,9,12,13,14],[0,3,4,7,8,9,12,13,15],[0,3,4,7,8,9,12,14,15],[0,3,4,7,8,9,13,14,15],[0,3,4,7,8,10,11,12,13],[0,3,4,7,8,10,11,12,14],[0,3,4,7,8,10,11,12,15],[0,3,4,7,8,10,11,13,14],[0,3,4,7,8,10,11,13,15],[0,3,4,7,8,10,11,14,15],[0,3,4,7,8,10,12,13,14],[0,3,4,7,8,10,12,13,15],[0,3,4,7,8,10,12,14,15],[0,3,4,7,8,10,13,14,15],[0,3,4,7,8,11,12,13,14],[0,3,4,7,8,11,12,13,15],[0,3,4,7,8,11,12,14,15],[0,3,4,7,8,11,13,14,15],[0,3,4,7,8,12,13,14,15],[0,3,4,7,9,10,11,12,13],[0,3,4,7,9,10,11,12,14],[0,3,4,7,9,10,11,12,15],[0,3,4,7,9,10,11,13,14],[0,3,4,7,9,10,11,13,15],[0,3,4,7,9,10,11,14,15],[0,3,4,7,9,10,12,13,14],[0,3,4,7,9,10,12,13,15],[0,3,4,7,9,10,12,14,15],[0,3,4,7,9,10,13,14,15],[0,3,4,7,9,11,12,13,14],[0,3,4,7,9,11,12,13,15],[0,3,4,7,9,11,12,14,15],[0,3,4,7,9,11,13,14,15],[0,3,4,7,9,12,13,14,15],[0,3,4,7,10,11,12,13,14],[0,3,4,7,10,11,12,13,15],[0,3,4,7,10,11,12,14,15],[0,3,4,7,10,11,13,14,15],[0,3,4,7,10,12,13,14,15],[0,3,4,7,11,12,13,14,15],[0,3,4,8,9,10,11,12,13],[0,3,4,8,9,10,11,12,14],[0,3,4,8,9,10,11,12,15],[0,3,4,8,9,10,11,13,14],[0,3,4,8,9,10,11,13,15],[0,3,4,8,9,10,11,14,15],[0,3,4,8,9,10,12,13,14],[0,3,4,8,9,10,12,13,15],[0,3,4,8,9,10,12,14,15],[0,3,4,8,9,10,13,14,15],[0,3,4,8,9,11,12,13,14],[0,3,4,8,9,11,12,13,15],[0,3,4,8,9,11,12,14,15],[0,3,4,8,9,11,13,14,15],[0,3,4,8,9,12,13,14,15],[0,3,4,8,10,11,12,13,14],[0,3,4,8,10,11,12,13,15],[0,3,4,8,10,11,12,14,15],[0,3,4,8,10,11,13,14,15],[0,3,4,8,10,12,13,14,15],[0,3,4,8,11,12,13,14,15],[0,3,4,9,10,11,12,13,14],[0,3,4,9,10,11,12,13,15],[0,3,4,9,10,11,12,14,15],[0,3,4,9,10,11,13,14,15],[0,3,4,9,10,12,13,14,15],[0,3,4,9,11,12,13,14,15],[0,3,4,10,11,12,13,14,15],[0,3,5,6,7,8,9,10,11],[0,3,5,6,7,8,9,10,12],[0,3,5,6,7,8,9,10,13],[0,3,5,6,7,8,9,10,14],[0,3,5,6,7,8,9,10,15],[0,3,5,6,7,8,9,11,12],[0,3,5,6,7,8,9,11,13],[0,3,5,6,7,8,9,11,14],[0,3,5,6,7,8,9,11,15],[0,3,5,6,7,8,9,12,13],[0,3,5,6,7,8,9,12,14],[0,3,5,6,7,8,9,12,15],[0,3,5,6,7,8,9,13,14],[0,3,5,6,7,8,9,13,15],[0,3,5,6,7,8,9,14,15],[0,3,5,6,7,8,10,11,12],[0,3,5,6,7,8,10,11,13],[0,3,5,6,7,8,10,11,14],[0,3,5,6,7,8,10,11,15],[0,3,5,6,7,8,10,12,13],[0,3,5,6,7,8,10,12,14],[0,3,5,6,7,8,10,12,15],[0,3,5,6,7,8,10,13,14],[0,3,5,6,7,8,10,13,15],[0,3,5,6,7,8,10,14,15],[0,3,5,6,7,8,11,12,13],[0,3,5,6,7,8,11,12,14],[0,3,5,6,7,8,11,12,15],[0,3,5,6,7,8,11,13,14],[0,3,5,6,7,8,11,13,15],[0,3,5,6,7,8,11,14,15],[0,3,5,6,7,8,12,13,14],[0,3,5,6,7,8,12,13,15],[0,3,5,6,7,8,12,14,15],[0,3,5,6,7,8,13,14,15],[0,3,5,6,7,9,10,11,12],[0,3,5,6,7,9,10,11,13],[0,3,5,6,7,9,10,11,14],[0,3,5,6,7,9,10,11,15],[0,3,5,6,7,9,10,12,13],[0,3,5,6,7,9,10,12,14],[0,3,5,6,7,9,10,12,15],[0,3,5,6,7,9,10,13,14],[0,3,5,6,7,9,10,13,15],[0,3,5,6,7,9,10,14,15],[0,3,5,6,7,9,11,12,13],[0,3,5,6,7,9,11,12,14],[0,3,5,6,7,9,11,12,15],[0,3,5,6,7,9,11,13,14],[0,3,5,6,7,9,11,13,15],[0,3,5,6,7,9,11,14,15],[0,3,5,6,7,9,12,13,14],[0,3,5,6,7,9,12,13,15],[0,3,5,6,7,9,12,14,15],[0,3,5,6,7,9,13,14,15],[0,3,5,6,7,10,11,12,13],[0,3,5,6,7,10,11,12,14],[0,3,5,6,7,10,11,12,15],[0,3,5,6,7,10,11,13,14],[0,3,5,6,7,10,11,13,15],[0,3,5,6,7,10,11,14,15],[0,3,5,6,7,10,12,13,14],[0,3,5,6,7,10,12,13,15],[0,3,5,6,7,10,12,14,15],[0,3,5,6,7,10,13,14,15],[0,3,5,6,7,11,12,13,14],[0,3,5,6,7,11,12,13,15],[0,3,5,6,7,11,12,14,15],[0,3,5,6,7,11,13,14,15],[0,3,5,6,7,12,13,14,15],[0,3,5,6,8,9,10,11,12],[0,3,5,6,8,9,10,11,13],[0,3,5,6,8,9,10,11,14],[0,3,5,6,8,9,10,11,15],[0,3,5,6,8,9,10,12,13],[0,3,5,6,8,9,10,12,14],[0,3,5,6,8,9,10,12,15],[0,3,5,6,8,9,10,13,14],[0,3,5,6,8,9,10,13,15],[0,3,5,6,8,9,10,14,15],[0,3,5,6,8,9,11,12,13],[0,3,5,6,8,9,11,12,14],[0,3,5,6,8,9,11,12,15],[0,3,5,6,8,9,11,13,14],[0,3,5,6,8,9,11,13,15],[0,3,5,6,8,9,11,14,15],[0,3,5,6,8,9,12,13,14],[0,3,5,6,8,9,12,13,15],[0,3,5,6,8,9,12,14,15],[0,3,5,6,8,9,13,14,15],[0,3,5,6,8,10,11,12,13],[0,3,5,6,8,10,11,12,14],[0,3,5,6,8,10,11,12,15],[0,3,5,6,8,10,11,13,14],[0,3,5,6,8,10,11,13,15],[0,3,5,6,8,10,11,14,15],[0,3,5,6,8,10,12,13,14],[0,3,5,6,8,10,12,13,15],[0,3,5,6,8,10,12,14,15],[0,3,5,6,8,10,13,14,15],[0,3,5,6,8,11,12,13,14],[0,3,5,6,8,11,12,13,15],[0,3,5,6,8,11,12,14,15],[0,3,5,6,8,11,13,14,15],[0,3,5,6,8,12,13,14,15],[0,3,5,6,9,10,11,12,13],[0,3,5,6,9,10,11,12,14],[0,3,5,6,9,10,11,12,15],[0,3,5,6,9,10,11,13,14],[0,3,5,6,9,10,11,13,15],[0,3,5,6,9,10,11,14,15],[0,3,5,6,9,10,12,13,14],[0,3,5,6,9,10,12,13,15],[0,3,5,6,9,10,12,14,15],[0,3,5,6,9,10,13,14,15],[0,3,5,6,9,11,12,13,14],[0,3,5,6,9,11,12,13,15],[0,3,5,6,9,11,12,14,15],[0,3,5,6,9,11,13,14,15],[0,3,5,6,9,12,13,14,15],[0,3,5,6,10,11,12,13,14],[0,3,5,6,10,11,12,13,15],[0,3,5,6,10,11,12,14,15],[0,3,5,6,10,11,13,14,15],[0,3,5,6,10,12,13,14,15],[0,3,5,6,11,12,13,14,15],[0,3,5,7,8,9,10,11,12],[0,3,5,7,8,9,10,11,13],[0,3,5,7,8,9,10,11,14],[0,3,5,7,8,9,10,11,15],[0,3,5,7,8,9,10,12,13],[0,3,5,7,8,9,10,12,14],[0,3,5,7,8,9,10,12,15],[0,3,5,7,8,9,10,13,14],[0,3,5,7,8,9,10,13,15],[0,3,5,7,8,9,10,14,15],[0,3,5,7,8,9,11,12,13],[0,3,5,7,8,9,11,12,14],[0,3,5,7,8,9,11,12,15],[0,3,5,7,8,9,11,13,14],[0,3,5,7,8,9,11,13,15],[0,3,5,7,8,9,11,14,15],[0,3,5,7,8,9,12,13,14],[0,3,5,7,8,9,12,13,15],[0,3,5,7,8,9,12,14,15],[0,3,5,7,8,9,13,14,15],[0,3,5,7,8,10,11,12,13],[0,3,5,7,8,10,11,12,14],[0,3,5,7,8,10,11,12,15],[0,3,5,7,8,10,11,13,14],[0,3,5,7,8,10,11,13,15],[0,3,5,7,8,10,11,14,15],[0,3,5,7,8,10,12,13,14],[0,3,5,7,8,10,12,13,15],[0,3,5,7,8,10,12,14,15],[0,3,5,7,8,10,13,14,15],[0,3,5,7,8,11,12,13,14],[0,3,5,7,8,11,12,13,15],[0,3,5,7,8,11,12,14,15],[0,3,5,7,8,11,13,14,15],[0,3,5,7,8,12,13,14,15],[0,3,5,7,9,10,11,12,13],[0,3,5,7,9,10,11,12,14],[0,3,5,7,9,10,11,12,15],[0,3,5,7,9,10,11,13,14],[0,3,5,7,9,10,11,13,15],[0,3,5,7,9,10,11,14,15],[0,3,5,7,9,10,12,13,14],[0,3,5,7,9,10,12,13,15],[0,3,5,7,9,10,12,14,15],[0,3,5,7,9,10,13,14,15],[0,3,5,7,9,11,12,13,14],[0,3,5,7,9,11,12,13,15],[0,3,5,7,9,11,12,14,15],[0,3,5,7,9,11,13,14,15],[0,3,5,7,9,12,13,14,15],[0,3,5,7,10,11,12,13,14],[0,3,5,7,10,11,12,13,15],[0,3,5,7,10,11,12,14,15],[0,3,5,7,10,11,13,14,15],[0,3,5,7,10,12,13,14,15],[0,3,5,7,11,12,13,14,15],[0,3,5,8,9,10,11,12,13],[0,3,5,8,9,10,11,12,14],[0,3,5,8,9,10,11,12,15],[0,3,5,8,9,10,11,13,14],[0,3,5,8,9,10,11,13,15],[0,3,5,8,9,10,11,14,15],[0,3,5,8,9,10,12,13,14],[0,3,5,8,9,10,12,13,15],[0,3,5,8,9,10,12,14,15],[0,3,5,8,9,10,13,14,15],[0,3,5,8,9,11,12,13,14],[0,3,5,8,9,11,12,13,15],[0,3,5,8,9,11,12,14,15],[0,3,5,8,9,11,13,14,15],[0,3,5,8,9,12,13,14,15],[0,3,5,8,10,11,12,13,14],[0,3,5,8,10,11,12,13,15],[0,3,5,8,10,11,12,14,15],[0,3,5,8,10,11,13,14,15],[0,3,5,8,10,12,13,14,15],[0,3,5,8,11,12,13,14,15],[0,3,5,9,10,11,12,13,14],[0,3,5,9,10,11,12,13,15],[0,3,5,9,10,11,12,14,15],[0,3,5,9,10,11,13,14,15],[0,3,5,9,10,12,13,14,15],[0,3,5,9,11,12,13,14,15],[0,3,5,10,11,12,13,14,15],[0,3,6,7,8,9,10,11,12],[0,3,6,7,8,9,10,11,13],[0,3,6,7,8,9,10,11,14],[0,3,6,7,8,9,10,11,15],[0,3,6,7,8,9,10,12,13],[0,3,6,7,8,9,10,12,14],[0,3,6,7,8,9,10,12,15],[0,3,6,7,8,9,10,13,14],[0,3,6,7,8,9,10,13,15],[0,3,6,7,8,9,10,14,15],[0,3,6,7,8,9,11,12,13],[0,3,6,7,8,9,11,12,14],[0,3,6,7,8,9,11,12,15],[0,3,6,7,8,9,11,13,14],[0,3,6,7,8,9,11,13,15],[0,3,6,7,8,9,11,14,15],[0,3,6,7,8,9,12,13,14],[0,3,6,7,8,9,12,13,15],[0,3,6,7,8,9,12,14,15],[0,3,6,7,8,9,13,14,15],[0,3,6,7,8,10,11,12,13],[0,3,6,7,8,10,11,12,14],[0,3,6,7,8,10,11,12,15],[0,3,6,7,8,10,11,13,14],[0,3,6,7,8,10,11,13,15],[0,3,6,7,8,10,11,14,15],[0,3,6,7,8,10,12,13,14],[0,3,6,7,8,10,12,13,15],[0,3,6,7,8,10,12,14,15],[0,3,6,7,8,10,13,14,15],[0,3,6,7,8,11,12,13,14],[0,3,6,7,8,11,12,13,15],[0,3,6,7,8,11,12,14,15],[0,3,6,7,8,11,13,14,15],[0,3,6,7,8,12,13,14,15],[0,3,6,7,9,10,11,12,13],[0,3,6,7,9,10,11,12,14],[0,3,6,7,9,10,11,12,15],[0,3,6,7,9,10,11,13,14],[0,3,6,7,9,10,11,13,15],[0,3,6,7,9,10,11,14,15],[0,3,6,7,9,10,12,13,14],[0,3,6,7,9,10,12,13,15],[0,3,6,7,9,10,12,14,15],[0,3,6,7,9,10,13,14,15],[0,3,6,7,9,11,12,13,14],[0,3,6,7,9,11,12,13,15],[0,3,6,7,9,11,12,14,15],[0,3,6,7,9,11,13,14,15],[0,3,6,7,9,12,13,14,15],[0,3,6,7,10,11,12,13,14],[0,3,6,7,10,11,12,13,15],[0,3,6,7,10,11,12,14,15],[0,3,6,7,10,11,13,14,15],[0,3,6,7,10,12,13,14,15],[0,3,6,7,11,12,13,14,15],[0,3,6,8,9,10,11,12,13],[0,3,6,8,9,10,11,12,14],[0,3,6,8,9,10,11,12,15],[0,3,6,8,9,10,11,13,14],[0,3,6,8,9,10,11,13,15],[0,3,6,8,9,10,11,14,15],[0,3,6,8,9,10,12,13,14],[0,3,6,8,9,10,12,13,15],[0,3,6,8,9,10,12,14,15],[0,3,6,8,9,10,13,14,15],[0,3,6,8,9,11,12,13,14],[0,3,6,8,9,11,12,13,15],[0,3,6,8,9,11,12,14,15],[0,3,6,8,9,11,13,14,15],[0,3,6,8,9,12,13,14,15],[0,3,6,8,10,11,12,13,14],[0,3,6,8,10,11,12,13,15],[0,3,6,8,10,11,12,14,15],[0,3,6,8,10,11,13,14,15],[0,3,6,8,10,12,13,14,15],[0,3,6,8,11,12,13,14,15],[0,3,6,9,10,11,12,13,14],[0,3,6,9,10,11,12,13,15],[0,3,6,9,10,11,12,14,15],[0,3,6,9,10,11,13,14,15],[0,3,6,9,10,12,13,14,15],[0,3,6,9,11,12,13,14,15],[0,3,6,10,11,12,13,14,15],[0,3,7,8,9,10,11,12,13],[0,3,7,8,9,10,11,12,14],[0,3,7,8,9,10,11,12,15],[0,3,7,8,9,10,11,13,14],[0,3,7,8,9,10,11,13,15],[0,3,7,8,9,10,11,14,15],[0,3,7,8,9,10,12,13,14],[0,3,7,8,9,10,12,13,15],[0,3,7,8,9,10,12,14,15],[0,3,7,8,9,10,13,14,15],[0,3,7,8,9,11,12,13,14],[0,3,7,8,9,11,12,13,15],[0,3,7,8,9,11,12,14,15],[0,3,7,8,9,11,13,14,15],[0,3,7,8,9,12,13,14,15],[0,3,7,8,10,11,12,13,14],[0,3,7,8,10,11,12,13,15],[0,3,7,8,10,11,12,14,15],[0,3,7,8,10,11,13,14,15],[0,3,7,8,10,12,13,14,15],[0,3,7,8,11,12,13,14,15],[0,3,7,9,10,11,12,13,14],[0,3,7,9,10,11,12,13,15],[0,3,7,9,10,11,12,14,15],[0,3,7,9,10,11,13,14,15],[0,3,7,9,10,12,13,14,15],[0,3,7,9,11,12,13,14,15],[0,3,7,10,11,12,13,14,15],[0,3,8,9,10,11,12,13,14],[0,3,8,9,10,11,12,13,15],[0,3,8,9,10,11,12,14,15],[0,3,8,9,10,11,13,14,15],[0,3,8,9,10,12,13,14,15],[0,3,8,9,11,12,13,14,15],[0,3,8,10,11,12,13,14,15],[0,3,9,10,11,12,13,14,15],[0,4,5,6,7,8,9,10,11],[0,4,5,6,7,8,9,10,12],[0,4,5,6,7,8,9,10,13],[0,4,5,6,7,8,9,10,14],[0,4,5,6,7,8,9,10,15],[0,4,5,6,7,8,9,11,12],[0,4,5,6,7,8,9,11,13],[0,4,5,6,7,8,9,11,14],[0,4,5,6,7,8,9,11,15],[0,4,5,6,7,8,9,12,13],[0,4,5,6,7,8,9,12,14],[0,4,5,6,7,8,9,12,15],[0,4,5,6,7,8,9,13,14],[0,4,5,6,7,8,9,13,15],[0,4,5,6,7,8,9,14,15],[0,4,5,6,7,8,10,11,12],[0,4,5,6,7,8,10,11,13],[0,4,5,6,7,8,10,11,14],[0,4,5,6,7,8,10,11,15],[0,4,5,6,7,8,10,12,13],[0,4,5,6,7,8,10,12,14],[0,4,5,6,7,8,10,12,15],[0,4,5,6,7,8,10,13,14],[0,4,5,6,7,8,10,13,15],[0,4,5,6,7,8,10,14,15],[0,4,5,6,7,8,11,12,13],[0,4,5,6,7,8,11,12,14],[0,4,5,6,7,8,11,12,15],[0,4,5,6,7,8,11,13,14],[0,4,5,6,7,8,11,13,15],[0,4,5,6,7,8,11,14,15],[0,4,5,6,7,8,12,13,14],[0,4,5,6,7,8,12,13,15],[0,4,5,6,7,8,12,14,15],[0,4,5,6,7,8,13,14,15],[0,4,5,6,7,9,10,11,12],[0,4,5,6,7,9,10,11,13],[0,4,5,6,7,9,10,11,14],[0,4,5,6,7,9,10,11,15],[0,4,5,6,7,9,10,12,13],[0,4,5,6,7,9,10,12,14],[0,4,5,6,7,9,10,12,15],[0,4,5,6,7,9,10,13,14],[0,4,5,6,7,9,10,13,15],[0,4,5,6,7,9,10,14,15],[0,4,5,6,7,9,11,12,13],[0,4,5,6,7,9,11,12,14],[0,4,5,6,7,9,11,12,15],[0,4,5,6,7,9,11,13,14],[0,4,5,6,7,9,11,13,15],[0,4,5,6,7,9,11,14,15],[0,4,5,6,7,9,12,13,14],[0,4,5,6,7,9,12,13,15],[0,4,5,6,7,9,12,14,15],[0,4,5,6,7,9,13,14,15],[0,4,5,6,7,10,11,12,13],[0,4,5,6,7,10,11,12,14],[0,4,5,6,7,10,11,12,15],[0,4,5,6,7,10,11,13,14],[0,4,5,6,7,10,11,13,15],[0,4,5,6,7,10,11,14,15],[0,4,5,6,7,10,12,13,14],[0,4,5,6,7,10,12,13,15],[0,4,5,6,7,10,12,14,15],[0,4,5,6,7,10,13,14,15],[0,4,5,6,7,11,12,13,14],[0,4,5,6,7,11,12,13,15],[0,4,5,6,7,11,12,14,15],[0,4,5,6,7,11,13,14,15],[0,4,5,6,7,12,13,14,15],[0,4,5,6,8,9,10,11,12],[0,4,5,6,8,9,10,11,13],[0,4,5,6,8,9,10,11,14],[0,4,5,6,8,9,10,11,15],[0,4,5,6,8,9,10,12,13],[0,4,5,6,8,9,10,12,14],[0,4,5,6,8,9,10,12,15],[0,4,5,6,8,9,10,13,14],[0,4,5,6,8,9,10,13,15],[0,4,5,6,8,9,10,14,15],[0,4,5,6,8,9,11,12,13],[0,4,5,6,8,9,11,12,14],[0,4,5,6,8,9,11,12,15],[0,4,5,6,8,9,11,13,14],[0,4,5,6,8,9,11,13,15],[0,4,5,6,8,9,11,14,15],[0,4,5,6,8,9,12,13,14],[0,4,5,6,8,9,12,13,15],[0,4,5,6,8,9,12,14,15],[0,4,5,6,8,9,13,14,15],[0,4,5,6,8,10,11,12,13],[0,4,5,6,8,10,11,12,14],[0,4,5,6,8,10,11,12,15],[0,4,5,6,8,10,11,13,14],[0,4,5,6,8,10,11,13,15],[0,4,5,6,8,10,11,14,15],[0,4,5,6,8,10,12,13,14],[0,4,5,6,8,10,12,13,15],[0,4,5,6,8,10,12,14,15],[0,4,5,6,8,10,13,14,15],[0,4,5,6,8,11,12,13,14],[0,4,5,6,8,11,12,13,15],[0,4,5,6,8,11,12,14,15],[0,4,5,6,8,11,13,14,15],[0,4,5,6,8,12,13,14,15],[0,4,5,6,9,10,11,12,13],[0,4,5,6,9,10,11,12,14],[0,4,5,6,9,10,11,12,15],[0,4,5,6,9,10,11,13,14],[0,4,5,6,9,10,11,13,15],[0,4,5,6,9,10,11,14,15],[0,4,5,6,9,10,12,13,14],[0,4,5,6,9,10,12,13,15],[0,4,5,6,9,10,12,14,15],[0,4,5,6,9,10,13,14,15],[0,4,5,6,9,11,12,13,14],[0,4,5,6,9,11,12,13,15],[0,4,5,6,9,11,12,14,15],[0,4,5,6,9,11,13,14,15],[0,4,5,6,9,12,13,14,15],[0,4,5,6,10,11,12,13,14],[0,4,5,6,10,11,12,13,15],[0,4,5,6,10,11,12,14,15],[0,4,5,6,10,11,13,14,15],[0,4,5,6,10,12,13,14,15],[0,4,5,6,11,12,13,14,15],[0,4,5,7,8,9,10,11,12],[0,4,5,7,8,9,10,11,13],[0,4,5,7,8,9,10,11,14],[0,4,5,7,8,9,10,11,15],[0,4,5,7,8,9,10,12,13],[0,4,5,7,8,9,10,12,14],[0,4,5,7,8,9,10,12,15],[0,4,5,7,8,9,10,13,14],[0,4,5,7,8,9,10,13,15],[0,4,5,7,8,9,10,14,15],[0,4,5,7,8,9,11,12,13],[0,4,5,7,8,9,11,12,14],[0,4,5,7,8,9,11,12,15],[0,4,5,7,8,9,11,13,14],[0,4,5,7,8,9,11,13,15],[0,4,5,7,8,9,11,14,15],[0,4,5,7,8,9,12,13,14],[0,4,5,7,8,9,12,13,15],[0,4,5,7,8,9,12,14,15],[0,4,5,7,8,9,13,14,15],[0,4,5,7,8,10,11,12,13],[0,4,5,7,8,10,11,12,14],[0,4,5,7,8,10,11,12,15],[0,4,5,7,8,10,11,13,14],[0,4,5,7,8,10,11,13,15],[0,4,5,7,8,10,11,14,15],[0,4,5,7,8,10,12,13,14],[0,4,5,7,8,10,12,13,15],[0,4,5,7,8,10,12,14,15],[0,4,5,7,8,10,13,14,15],[0,4,5,7,8,11,12,13,14],[0,4,5,7,8,11,12,13,15],[0,4,5,7,8,11,12,14,15],[0,4,5,7,8,11,13,14,15],[0,4,5,7,8,12,13,14,15],[0,4,5,7,9,10,11,12,13],[0,4,5,7,9,10,11,12,14],[0,4,5,7,9,10,11,12,15],[0,4,5,7,9,10,11,13,14],[0,4,5,7,9,10,11,13,15],[0,4,5,7,9,10,11,14,15],[0,4,5,7,9,10,12,13,14],[0,4,5,7,9,10,12,13,15],[0,4,5,7,9,10,12,14,15],[0,4,5,7,9,10,13,14,15],[0,4,5,7,9,11,12,13,14],[0,4,5,7,9,11,12,13,15],[0,4,5,7,9,11,12,14,15],[0,4,5,7,9,11,13,14,15],[0,4,5,7,9,12,13,14,15],[0,4,5,7,10,11,12,13,14],[0,4,5,7,10,11,12,13,15],[0,4,5,7,10,11,12,14,15],[0,4,5,7,10,11,13,14,15],[0,4,5,7,10,12,13,14,15],[0,4,5,7,11,12,13,14,15],[0,4,5,8,9,10,11,12,13],[0,4,5,8,9,10,11,12,14],[0,4,5,8,9,10,11,12,15],[0,4,5,8,9,10,11,13,14],[0,4,5,8,9,10,11,13,15],[0,4,5,8,9,10,11,14,15],[0,4,5,8,9,10,12,13,14],[0,4,5,8,9,10,12,13,15],[0,4,5,8,9,10,12,14,15],[0,4,5,8,9,10,13,14,15],[0,4,5,8,9,11,12,13,14],[0,4,5,8,9,11,12,13,15],[0,4,5,8,9,11,12,14,15],[0,4,5,8,9,11,13,14,15],[0,4,5,8,9,12,13,14,15],[0,4,5,8,10,11,12,13,14],[0,4,5,8,10,11,12,13,15],[0,4,5,8,10,11,12,14,15],[0,4,5,8,10,11,13,14,15],[0,4,5,8,10,12,13,14,15],[0,4,5,8,11,12,13,14,15],[0,4,5,9,10,11,12,13,14],[0,4,5,9,10,11,12,13,15],[0,4,5,9,10,11,12,14,15],[0,4,5,9,10,11,13,14,15],[0,4,5,9,10,12,13,14,15],[0,4,5,9,11,12,13,14,15],[0,4,5,10,11,12,13,14,15],[0,4,6,7,8,9,10,11,12],[0,4,6,7,8,9,10,11,13],[0,4,6,7,8,9,10,11,14],[0,4,6,7,8,9,10,11,15],[0,4,6,7,8,9,10,12,13],[0,4,6,7,8,9,10,12,14],[0,4,6,7,8,9,10,12,15],[0,4,6,7,8,9,10,13,14],[0,4,6,7,8,9,10,13,15],[0,4,6,7,8,9,10,14,15],[0,4,6,7,8,9,11,12,13],[0,4,6,7,8,9,11,12,14],[0,4,6,7,8,9,11,12,15],[0,4,6,7,8,9,11,13,14],[0,4,6,7,8,9,11,13,15],[0,4,6,7,8,9,11,14,15],[0,4,6,7,8,9,12,13,14],[0,4,6,7,8,9,12,13,15],[0,4,6,7,8,9,12,14,15],[0,4,6,7,8,9,13,14,15],[0,4,6,7,8,10,11,12,13],[0,4,6,7,8,10,11,12,14],[0,4,6,7,8,10,11,12,15],[0,4,6,7,8,10,11,13,14],[0,4,6,7,8,10,11,13,15],[0,4,6,7,8,10,11,14,15],[0,4,6,7,8,10,12,13,14],[0,4,6,7,8,10,12,13,15],[0,4,6,7,8,10,12,14,15],[0,4,6,7,8,10,13,14,15],[0,4,6,7,8,11,12,13,14],[0,4,6,7,8,11,12,13,15],[0,4,6,7,8,11,12,14,15],[0,4,6,7,8,11,13,14,15],[0,4,6,7,8,12,13,14,15],[0,4,6,7,9,10,11,12,13],[0,4,6,7,9,10,11,12,14],[0,4,6,7,9,10,11,12,15],[0,4,6,7,9,10,11,13,14],[0,4,6,7,9,10,11,13,15],[0,4,6,7,9,10,11,14,15],[0,4,6,7,9,10,12,13,14],[0,4,6,7,9,10,12,13,15],[0,4,6,7,9,10,12,14,15],[0,4,6,7,9,10,13,14,15],[0,4,6,7,9,11,12,13,14],[0,4,6,7,9,11,12,13,15],[0,4,6,7,9,11,12,14,15],[0,4,6,7,9,11,13,14,15],[0,4,6,7,9,12,13,14,15],[0,4,6,7,10,11,12,13,14],[0,4,6,7,10,11,12,13,15],[0,4,6,7,10,11,12,14,15],[0,4,6,7,10,11,13,14,15],[0,4,6,7,10,12,13,14,15],[0,4,6,7,11,12,13,14,15],[0,4,6,8,9,10,11,12,13],[0,4,6,8,9,10,11,12,14],[0,4,6,8,9,10,11,12,15],[0,4,6,8,9,10,11,13,14],[0,4,6,8,9,10,11,13,15],[0,4,6,8,9,10,11,14,15],[0,4,6,8,9,10,12,13,14],[0,4,6,8,9,10,12,13,15],[0,4,6,8,9,10,12,14,15],[0,4,6,8,9,10,13,14,15],[0,4,6,8,9,11,12,13,14],[0,4,6,8,9,11,12,13,15],[0,4,6,8,9,11,12,14,15],[0,4,6,8,9,11,13,14,15],[0,4,6,8,9,12,13,14,15],[0,4,6,8,10,11,12,13,14],[0,4,6,8,10,11,12,13,15],[0,4,6,8,10,11,12,14,15],[0,4,6,8,10,11,13,14,15],[0,4,6,8,10,12,13,14,15],[0,4,6,8,11,12,13,14,15],[0,4,6,9,10,11,12,13,14],[0,4,6,9,10,11,12,13,15],[0,4,6,9,10,11,12,14,15],[0,4,6,9,10,11,13,14,15],[0,4,6,9,10,12,13,14,15],[0,4,6,9,11,12,13,14,15],[0,4,6,10,11,12,13,14,15],[0,4,7,8,9,10,11,12,13],[0,4,7,8,9,10,11,12,14],[0,4,7,8,9,10,11,12,15],[0,4,7,8,9,10,11,13,14],[0,4,7,8,9,10,11,13,15],[0,4,7,8,9,10,11,14,15],[0,4,7,8,9,10,12,13,14],[0,4,7,8,9,10,12,13,15],[0,4,7,8,9,10,12,14,15],[0,4,7,8,9,10,13,14,15],[0,4,7,8,9,11,12,13,14],[0,4,7,8,9,11,12,13,15],[0,4,7,8,9,11,12,14,15],[0,4,7,8,9,11,13,14,15],[0,4,7,8,9,12,13,14,15],[0,4,7,8,10,11,12,13,14],[0,4,7,8,10,11,12,13,15],[0,4,7,8,10,11,12,14,15],[0,4,7,8,10,11,13,14,15],[0,4,7,8,10,12,13,14,15],[0,4,7,8,11,12,13,14,15],[0,4,7,9,10,11,12,13,14],[0,4,7,9,10,11,12,13,15],[0,4,7,9,10,11,12,14,15],[0,4,7,9,10,11,13,14,15],[0,4,7,9,10,12,13,14,15],[0,4,7,9,11,12,13,14,15],[0,4,7,10,11,12,13,14,15],[0,4,8,9,10,11,12,13,14],[0,4,8,9,10,11,12,13,15],[0,4,8,9,10,11,12,14,15],[0,4,8,9,10,11,13,14,15],[0,4,8,9,10,12,13,14,15],[0,4,8,9,11,12,13,14,15],[0,4,8,10,11,12,13,14,15],[0,4,9,10,11,12,13,14,15],[0,5,6,7,8,9,10,11,12],[0,5,6,7,8,9,10,11,13],[0,5,6,7,8,9,10,11,14],[0,5,6,7,8,9,10,11,15],[0,5,6,7,8,9,10,12,13],[0,5,6,7,8,9,10,12,14],[0,5,6,7,8,9,10,12,15],[0,5,6,7,8,9,10,13,14],[0,5,6,7,8,9,10,13,15],[0,5,6,7,8,9,10,14,15],[0,5,6,7,8,9,11,12,13],[0,5,6,7,8,9,11,12,14],[0,5,6,7,8,9,11,12,15],[0,5,6,7,8,9,11,13,14],[0,5,6,7,8,9,11,13,15],[0,5,6,7,8,9,11,14,15],[0,5,6,7,8,9,12,13,14],[0,5,6,7,8,9,12,13,15],[0,5,6,7,8,9,12,14,15],[0,5,6,7,8,9,13,14,15],[0,5,6,7,8,10,11,12,13],[0,5,6,7,8,10,11,12,14],[0,5,6,7,8,10,11,12,15],[0,5,6,7,8,10,11,13,14],[0,5,6,7,8,10,11,13,15],[0,5,6,7,8,10,11,14,15],[0,5,6,7,8,10,12,13,14],[0,5,6,7,8,10,12,13,15],[0,5,6,7,8,10,12,14,15],[0,5,6,7,8,10,13,14,15],[0,5,6,7,8,11,12,13,14],[0,5,6,7,8,11,12,13,15],[0,5,6,7,8,11,12,14,15],[0,5,6,7,8,11,13,14,15],[0,5,6,7,8,12,13,14,15],[0,5,6,7,9,10,11,12,13],[0,5,6,7,9,10,11,12,14],[0,5,6,7,9,10,11,12,15],[0,5,6,7,9,10,11,13,14],[0,5,6,7,9,10,11,13,15],[0,5,6,7,9,10,11,14,15],[0,5,6,7,9,10,12,13,14],[0,5,6,7,9,10,12,13,15],[0,5,6,7,9,10,12,14,15],[0,5,6,7,9,10,13,14,15],[0,5,6,7,9,11,12,13,14],[0,5,6,7,9,11,12,13,15],[0,5,6,7,9,11,12,14,15],[0,5,6,7,9,11,13,14,15],[0,5,6,7,9,12,13,14,15],[0,5,6,7,10,11,12,13,14],[0,5,6,7,10,11,12,13,15],[0,5,6,7,10,11,12,14,15],[0,5,6,7,10,11,13,14,15],[0,5,6,7,10,12,13,14,15],[0,5,6,7,11,12,13,14,15],[0,5,6,8,9,10,11,12,13],[0,5,6,8,9,10,11,12,14],[0,5,6,8,9,10,11,12,15],[0,5,6,8,9,10,11,13,14],[0,5,6,8,9,10,11,13,15],[0,5,6,8,9,10,11,14,15],[0,5,6,8,9,10,12,13,14],[0,5,6,8,9,10,12,13,15],[0,5,6,8,9,10,12,14,15],[0,5,6,8,9,10,13,14,15],[0,5,6,8,9,11,12,13,14],[0,5,6,8,9,11,12,13,15],[0,5,6,8,9,11,12,14,15],[0,5,6,8,9,11,13,14,15],[0,5,6,8,9,12,13,14,15],[0,5,6,8,10,11,12,13,14],[0,5,6,8,10,11,12,13,15],[0,5,6,8,10,11,12,14,15],[0,5,6,8,10,11,13,14,15],[0,5,6,8,10,12,13,14,15],[0,5,6,8,11,12,13,14,15],[0,5,6,9,10,11,12,13,14],[0,5,6,9,10,11,12,13,15],[0,5,6,9,10,11,12,14,15],[0,5,6,9,10,11,13,14,15],[0,5,6,9,10,12,13,14,15],[0,5,6,9,11,12,13,14,15],[0,5,6,10,11,12,13,14,15],[0,5,7,8,9,10,11,12,13],[0,5,7,8,9,10,11,12,14],[0,5,7,8,9,10,11,12,15],[0,5,7,8,9,10,11,13,14],[0,5,7,8,9,10,11,13,15],[0,5,7,8,9,10,11,14,15],[0,5,7,8,9,10,12,13,14],[0,5,7,8,9,10,12,13,15],[0,5,7,8,9,10,12,14,15],[0,5,7,8,9,10,13,14,15],[0,5,7,8,9,11,12,13,14],[0,5,7,8,9,11,12,13,15],[0,5,7,8,9,11,12,14,15],[0,5,7,8,9,11,13,14,15],[0,5,7,8,9,12,13,14,15],[0,5,7,8,10,11,12,13,14],[0,5,7,8,10,11,12,13,15],[0,5,7,8,10,11,12,14,15],[0,5,7,8,10,11,13,14,15],[0,5,7,8,10,12,13,14,15],[0,5,7,8,11,12,13,14,15],[0,5,7,9,10,11,12,13,14],[0,5,7,9,10,11,12,13,15],[0,5,7,9,10,11,12,14,15],[0,5,7,9,10,11,13,14,15],[0,5,7,9,10,12,13,14,15],[0,5,7,9,11,12,13,14,15],[0,5,7,10,11,12,13,14,15],[0,5,8,9,10,11,12,13,14],[0,5,8,9,10,11,12,13,15],[0,5,8,9,10,11,12,14,15],[0,5,8,9,10,11,13,14,15],[0,5,8,9,10,12,13,14,15],[0,5,8,9,11,12,13,14,15],[0,5,8,10,11,12,13,14,15],[0,5,9,10,11,12,13,14,15],[0,6,7,8,9,10,11,12,13],[0,6,7,8,9,10,11,12,14],[0,6,7,8,9,10,11,12,15],[0,6,7,8,9,10,11,13,14],[0,6,7,8,9,10,11,13,15],[0,6,7,8,9,10,11,14,15],[0,6,7,8,9,10,12,13,14],[0,6,7,8,9,10,12,13,15],[0,6,7,8,9,10,12,14,15],[0,6,7,8,9,10,13,14,15],[0,6,7,8,9,11,12,13,14],[0,6,7,8,9,11,12,13,15],[0,6,7,8,9,11,12,14,15],[0,6,7,8,9,11,13,14,15],[0,6,7,8,9,12,13,14,15],[0,6,7,8,10,11,12,13,14],[0,6,7,8,10,11,12,13,15],[0,6,7,8,10,11,12,14,15],[0,6,7,8,10,11,13,14,15],[0,6,7,8,10,12,13,14,15],[0,6,7,8,11,12,13,14,15],[0,6,7,9,10,11,12,13,14],[0,6,7,9,10,11,12,13,15],[0,6,7,9,10,11,12,14,15],[0,6,7,9,10,11,13,14,15],[0,6,7,9,10,12,13,14,15],[0,6,7,9,11,12,13,14,15],[0,6,7,10,11,12,13,14,15],[0,6,8,9,10,11,12,13,14],[0,6,8,9,10,11,12,13,15],[0,6,8,9,10,11,12,14,15],[0,6,8,9,10,11,13,14,15],[0,6,8,9,10,12,13,14,15],[0,6,8,9,11,12,13,14,15],[0,6,8,10,11,12,13,14,15],[0,6,9,10,11,12,13,14,15],[0,7,8,9,10,11,12,13,14],[0,7,8,9,10,11,12,13,15],[0,7,8,9,10,11,12,14,15],[0,7,8,9,10,11,13,14,15],[0,7,8,9,10,12,13,14,15],[0,7,8,9,11,12,13,14,15],[0,7,8,10,11,12,13,14,15],[0,7,9,10,11,12,13,14,15],[0,8,9,10,11,12,13,14,15],[1,2,3,4,5,6,7,8,9],[1,2,3,4,5,6,7,8,10],[1,2,3,4,5,6,7,8,11],[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,6,7,8,15],[1,2,3,4,5,6,7,9,10],[1,2,3,4,5,6,7,9,11],[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,7,9,13],[1,2,3,4,5,6,7,9,14],[1,2,3,4,5,6,7,9,15],[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,7,10,12],[1,2,3,4,5,6,7,10,13],[1,2,3,4,5,6,7,10,14],[1,2,3,4,5,6,7,10,15],[1,2,3,4,5,6,7,11,12],[1,2,3,4,5,6,7,11,13],[1,2,3,4,5,6,7,11,14],[1,2,3,4,5,6,7,11,15],[1,2,3,4,5,6,7,12,13],[1,2,3,4,5,6,7,12,14],[1,2,3,4,5,6,7,12,15],[1,2,3,4,5,6,7,13,14],[1,2,3,4,5,6,7,13,15],[1,2,3,4,5,6,7,14,15],[1,2,3,4,5,6,8,9,10],[1,2,3,4,5,6,8,9,11],[1,2,3,4,5,6,8,9,12],[1,2,3,4,5,6,8,9,13],[1,2,3,4,5,6,8,9,14],[1,2,3,4,5,6,8,9,15],[1,2,3,4,5,6,8,10,11],[1,2,3,4,5,6,8,10,12],[1,2,3,4,5,6,8,10,13],[1,2,3,4,5,6,8,10,14],[1,2,3,4,5,6,8,10,15],[1,2,3,4,5,6,8,11,12],[1,2,3,4,5,6,8,11,13],[1,2,3,4,5,6,8,11,14],[1,2,3,4,5,6,8,11,15],[1,2,3,4,5,6,8,12,13],[1,2,3,4,5,6,8,12,14],[1,2,3,4,5,6,8,12,15],[1,2,3,4,5,6,8,13,14],[1,2,3,4,5,6,8,13,15],[1,2,3,4,5,6,8,14,15],[1,2,3,4,5,6,9,10,11],[1,2,3,4,5,6,9,10,12],[1,2,3,4,5,6,9,10,13],[1,2,3,4,5,6,9,10,14],[1,2,3,4,5,6,9,10,15],[1,2,3,4,5,6,9,11,12],[1,2,3,4,5,6,9,11,13],[1,2,3,4,5,6,9,11,14],[1,2,3,4,5,6,9,11,15],[1,2,3,4,5,6,9,12,13],[1,2,3,4,5,6,9,12,14],[1,2,3,4,5,6,9,12,15],[1,2,3,4,5,6,9,13,14],[1,2,3,4,5,6,9,13,15],[1,2,3,4,5,6,9,14,15],[1,2,3,4,5,6,10,11,12],[1,2,3,4,5,6,10,11,13],[1,2,3,4,5,6,10,11,14],[1,2,3,4,5,6,10,11,15],[1,2,3,4,5,6,10,12,13],[1,2,3,4,5,6,10,12,14],[1,2,3,4,5,6,10,12,15],[1,2,3,4,5,6,10,13,14],[1,2,3,4,5,6,10,13,15],[1,2,3,4,5,6,10,14,15],[1,2,3,4,5,6,11,12,13],[1,2,3,4,5,6,11,12,14],[1,2,3,4,5,6,11,12,15],[1,2,3,4,5,6,11,13,14],[1,2,3,4,5,6,11,13,15],[1,2,3,4,5,6,11,14,15],[1,2,3,4,5,6,12,13,14],[1,2,3,4,5,6,12,13,15],[1,2,3,4,5,6,12,14,15],[1,2,3,4,5,6,13,14,15],[1,2,3,4,5,7,8,9,10],[1,2,3,4,5,7,8,9,11],[1,2,3,4,5,7,8,9,12],[1,2,3,4,5,7,8,9,13],[1,2,3,4,5,7,8,9,14],[1,2,3,4,5,7,8,9,15],[1,2,3,4,5,7,8,10,11],[1,2,3,4,5,7,8,10,12],[1,2,3,4,5,7,8,10,13],[1,2,3,4,5,7,8,10,14],[1,2,3,4,5,7,8,10,15],[1,2,3,4,5,7,8,11,12],[1,2,3,4,5,7,8,11,13],[1,2,3,4,5,7,8,11,14],[1,2,3,4,5,7,8,11,15],[1,2,3,4,5,7,8,12,13],[1,2,3,4,5,7,8,12,14],[1,2,3,4,5,7,8,12,15],[1,2,3,4,5,7,8,13,14],[1,2,3,4,5,7,8,13,15],[1,2,3,4,5,7,8,14,15],[1,2,3,4,5,7,9,10,11],[1,2,3,4,5,7,9,10,12],[1,2,3,4,5,7,9,10,13],[1,2,3,4,5,7,9,10,14],[1,2,3,4,5,7,9,10,15],[1,2,3,4,5,7,9,11,12],[1,2,3,4,5,7,9,11,13],[1,2,3,4,5,7,9,11,14],[1,2,3,4,5,7,9,11,15],[1,2,3,4,5,7,9,12,13],[1,2,3,4,5,7,9,12,14],[1,2,3,4,5,7,9,12,15],[1,2,3,4,5,7,9,13,14],[1,2,3,4,5,7,9,13,15],[1,2,3,4,5,7,9,14,15],[1,2,3,4,5,7,10,11,12],[1,2,3,4,5,7,10,11,13],[1,2,3,4,5,7,10,11,14],[1,2,3,4,5,7,10,11,15],[1,2,3,4,5,7,10,12,13],[1,2,3,4,5,7,10,12,14],[1,2,3,4,5,7,10,12,15],[1,2,3,4,5,7,10,13,14],[1,2,3,4,5,7,10,13,15],[1,2,3,4,5,7,10,14,15],[1,2,3,4,5,7,11,12,13],[1,2,3,4,5,7,11,12,14],[1,2,3,4,5,7,11,12,15],[1,2,3,4,5,7,11,13,14],[1,2,3,4,5,7,11,13,15],[1,2,3,4,5,7,11,14,15],[1,2,3,4,5,7,12,13,14],[1,2,3,4,5,7,12,13,15],[1,2,3,4,5,7,12,14,15],[1,2,3,4,5,7,13,14,15],[1,2,3,4,5,8,9,10,11],[1,2,3,4,5,8,9,10,12],[1,2,3,4,5,8,9,10,13],[1,2,3,4,5,8,9,10,14],[1,2,3,4,5,8,9,10,15],[1,2,3,4,5,8,9,11,12],[1,2,3,4,5,8,9,11,13],[1,2,3,4,5,8,9,11,14],[1,2,3,4,5,8,9,11,15],[1,2,3,4,5,8,9,12,13],[1,2,3,4,5,8,9,12,14],[1,2,3,4,5,8,9,12,15],[1,2,3,4,5,8,9,13,14],[1,2,3,4,5,8,9,13,15],[1,2,3,4,5,8,9,14,15],[1,2,3,4,5,8,10,11,12],[1,2,3,4,5,8,10,11,13],[1,2,3,4,5,8,10,11,14],[1,2,3,4,5,8,10,11,15],[1,2,3,4,5,8,10,12,13],[1,2,3,4,5,8,10,12,14],[1,2,3,4,5,8,10,12,15],[1,2,3,4,5,8,10,13,14],[1,2,3,4,5,8,10,13,15],[1,2,3,4,5,8,10,14,15],[1,2,3,4,5,8,11,12,13],[1,2,3,4,5,8,11,12,14],[1,2,3,4,5,8,11,12,15],[1,2,3,4,5,8,11,13,14],[1,2,3,4,5,8,11,13,15],[1,2,3,4,5,8,11,14,15],[1,2,3,4,5,8,12,13,14],[1,2,3,4,5,8,12,13,15],[1,2,3,4,5,8,12,14,15],[1,2,3,4,5,8,13,14,15],[1,2,3,4,5,9,10,11,12],[1,2,3,4,5,9,10,11,13],[1,2,3,4,5,9,10,11,14],[1,2,3,4,5,9,10,11,15],[1,2,3,4,5,9,10,12,13],[1,2,3,4,5,9,10,12,14],[1,2,3,4,5,9,10,12,15],[1,2,3,4,5,9,10,13,14],[1,2,3,4,5,9,10,13,15],[1,2,3,4,5,9,10,14,15],[1,2,3,4,5,9,11,12,13],[1,2,3,4,5,9,11,12,14],[1,2,3,4,5,9,11,12,15],[1,2,3,4,5,9,11,13,14],[1,2,3,4,5,9,11,13,15],[1,2,3,4,5,9,11,14,15],[1,2,3,4,5,9,12,13,14],[1,2,3,4,5,9,12,13,15],[1,2,3,4,5,9,12,14,15],[1,2,3,4,5,9,13,14,15],[1,2,3,4,5,10,11,12,13],[1,2,3,4,5,10,11,12,14],[1,2,3,4,5,10,11,12,15],[1,2,3,4,5,10,11,13,14],[1,2,3,4,5,10,11,13,15],[1,2,3,4,5,10,11,14,15],[1,2,3,4,5,10,12,13,14],[1,2,3,4,5,10,12,13,15],[1,2,3,4,5,10,12,14,15],[1,2,3,4,5,10,13,14,15],[1,2,3,4,5,11,12,13,14],[1,2,3,4,5,11,12,13,15],[1,2,3,4,5,11,12,14,15],[1,2,3,4,5,11,13,14,15],[1,2,3,4,5,12,13,14,15],[1,2,3,4,6,7,8,9,10],[1,2,3,4,6,7,8,9,11],[1,2,3,4,6,7,8,9,12],[1,2,3,4,6,7,8,9,13],[1,2,3,4,6,7,8,9,14],[1,2,3,4,6,7,8,9,15],[1,2,3,4,6,7,8,10,11],[1,2,3,4,6,7,8,10,12],[1,2,3,4,6,7,8,10,13],[1,2,3,4,6,7,8,10,14],[1,2,3,4,6,7,8,10,15],[1,2,3,4,6,7,8,11,12],[1,2,3,4,6,7,8,11,13],[1,2,3,4,6,7,8,11,14],[1,2,3,4,6,7,8,11,15],[1,2,3,4,6,7,8,12,13],[1,2,3,4,6,7,8,12,14],[1,2,3,4,6,7,8,12,15],[1,2,3,4,6,7,8,13,14],[1,2,3,4,6,7,8,13,15],[1,2,3,4,6,7,8,14,15],[1,2,3,4,6,7,9,10,11],[1,2,3,4,6,7,9,10,12],[1,2,3,4,6,7,9,10,13],[1,2,3,4,6,7,9,10,14],[1,2,3,4,6,7,9,10,15],[1,2,3,4,6,7,9,11,12],[1,2,3,4,6,7,9,11,13],[1,2,3,4,6,7,9,11,14],[1,2,3,4,6,7,9,11,15],[1,2,3,4,6,7,9,12,13],[1,2,3,4,6,7,9,12,14],[1,2,3,4,6,7,9,12,15],[1,2,3,4,6,7,9,13,14],[1,2,3,4,6,7,9,13,15],[1,2,3,4,6,7,9,14,15],[1,2,3,4,6,7,10,11,12],[1,2,3,4,6,7,10,11,13],[1,2,3,4,6,7,10,11,14],[1,2,3,4,6,7,10,11,15],[1,2,3,4,6,7,10,12,13],[1,2,3,4,6,7,10,12,14],[1,2,3,4,6,7,10,12,15],[1,2,3,4,6,7,10,13,14],[1,2,3,4,6,7,10,13,15],[1,2,3,4,6,7,10,14,15],[1,2,3,4,6,7,11,12,13],[1,2,3,4,6,7,11,12,14],[1,2,3,4,6,7,11,12,15],[1,2,3,4,6,7,11,13,14],[1,2,3,4,6,7,11,13,15],[1,2,3,4,6,7,11,14,15],[1,2,3,4,6,7,12,13,14],[1,2,3,4,6,7,12,13,15],[1,2,3,4,6,7,12,14,15],[1,2,3,4,6,7,13,14,15],[1,2,3,4,6,8,9,10,11],[1,2,3,4,6,8,9,10,12],[1,2,3,4,6,8,9,10,13],[1,2,3,4,6,8,9,10,14],[1,2,3,4,6,8,9,10,15],[1,2,3,4,6,8,9,11,12],[1,2,3,4,6,8,9,11,13],[1,2,3,4,6,8,9,11,14],[1,2,3,4,6,8,9,11,15],[1,2,3,4,6,8,9,12,13],[1,2,3,4,6,8,9,12,14],[1,2,3,4,6,8,9,12,15],[1,2,3,4,6,8,9,13,14],[1,2,3,4,6,8,9,13,15],[1,2,3,4,6,8,9,14,15],[1,2,3,4,6,8,10,11,12],[1,2,3,4,6,8,10,11,13],[1,2,3,4,6,8,10,11,14],[1,2,3,4,6,8,10,11,15],[1,2,3,4,6,8,10,12,13],[1,2,3,4,6,8,10,12,14],[1,2,3,4,6,8,10,12,15],[1,2,3,4,6,8,10,13,14],[1,2,3,4,6,8,10,13,15],[1,2,3,4,6,8,10,14,15],[1,2,3,4,6,8,11,12,13],[1,2,3,4,6,8,11,12,14],[1,2,3,4,6,8,11,12,15],[1,2,3,4,6,8,11,13,14],[1,2,3,4,6,8,11,13,15],[1,2,3,4,6,8,11,14,15],[1,2,3,4,6,8,12,13,14],[1,2,3,4,6,8,12,13,15],[1,2,3,4,6,8,12,14,15],[1,2,3,4,6,8,13,14,15],[1,2,3,4,6,9,10,11,12],[1,2,3,4,6,9,10,11,13],[1,2,3,4,6,9,10,11,14],[1,2,3,4,6,9,10,11,15],[1,2,3,4,6,9,10,12,13],[1,2,3,4,6,9,10,12,14],[1,2,3,4,6,9,10,12,15],[1,2,3,4,6,9,10,13,14],[1,2,3,4,6,9,10,13,15],[1,2,3,4,6,9,10,14,15],[1,2,3,4,6,9,11,12,13],[1,2,3,4,6,9,11,12,14],[1,2,3,4,6,9,11,12,15],[1,2,3,4,6,9,11,13,14],[1,2,3,4,6,9,11,13,15],[1,2,3,4,6,9,11,14,15],[1,2,3,4,6,9,12,13,14],[1,2,3,4,6,9,12,13,15],[1,2,3,4,6,9,12,14,15],[1,2,3,4,6,9,13,14,15],[1,2,3,4,6,10,11,12,13],[1,2,3,4,6,10,11,12,14],[1,2,3,4,6,10,11,12,15],[1,2,3,4,6,10,11,13,14],[1,2,3,4,6,10,11,13,15],[1,2,3,4,6,10,11,14,15],[1,2,3,4,6,10,12,13,14],[1,2,3,4,6,10,12,13,15],[1,2,3,4,6,10,12,14,15],[1,2,3,4,6,10,13,14,15],[1,2,3,4,6,11,12,13,14],[1,2,3,4,6,11,12,13,15],[1,2,3,4,6,11,12,14,15],[1,2,3,4,6,11,13,14,15],[1,2,3,4,6,12,13,14,15],[1,2,3,4,7,8,9,10,11],[1,2,3,4,7,8,9,10,12],[1,2,3,4,7,8,9,10,13],[1,2,3,4,7,8,9,10,14],[1,2,3,4,7,8,9,10,15],[1,2,3,4,7,8,9,11,12],[1,2,3,4,7,8,9,11,13],[1,2,3,4,7,8,9,11,14],[1,2,3,4,7,8,9,11,15],[1,2,3,4,7,8,9,12,13],[1,2,3,4,7,8,9,12,14],[1,2,3,4,7,8,9,12,15],[1,2,3,4,7,8,9,13,14],[1,2,3,4,7,8,9,13,15],[1,2,3,4,7,8,9,14,15],[1,2,3,4,7,8,10,11,12],[1,2,3,4,7,8,10,11,13],[1,2,3,4,7,8,10,11,14],[1,2,3,4,7,8,10,11,15],[1,2,3,4,7,8,10,12,13],[1,2,3,4,7,8,10,12,14],[1,2,3,4,7,8,10,12,15],[1,2,3,4,7,8,10,13,14],[1,2,3,4,7,8,10,13,15],[1,2,3,4,7,8,10,14,15],[1,2,3,4,7,8,11,12,13],[1,2,3,4,7,8,11,12,14],[1,2,3,4,7,8,11,12,15],[1,2,3,4,7,8,11,13,14],[1,2,3,4,7,8,11,13,15],[1,2,3,4,7,8,11,14,15],[1,2,3,4,7,8,12,13,14],[1,2,3,4,7,8,12,13,15],[1,2,3,4,7,8,12,14,15],[1,2,3,4,7,8,13,14,15],[1,2,3,4,7,9,10,11,12],[1,2,3,4,7,9,10,11,13],[1,2,3,4,7,9,10,11,14],[1,2,3,4,7,9,10,11,15],[1,2,3,4,7,9,10,12,13],[1,2,3,4,7,9,10,12,14],[1,2,3,4,7,9,10,12,15],[1,2,3,4,7,9,10,13,14],[1,2,3,4,7,9,10,13,15],[1,2,3,4,7,9,10,14,15],[1,2,3,4,7,9,11,12,13],[1,2,3,4,7,9,11,12,14],[1,2,3,4,7,9,11,12,15],[1,2,3,4,7,9,11,13,14],[1,2,3,4,7,9,11,13,15],[1,2,3,4,7,9,11,14,15],[1,2,3,4,7,9,12,13,14],[1,2,3,4,7,9,12,13,15],[1,2,3,4,7,9,12,14,15],[1,2,3,4,7,9,13,14,15],[1,2,3,4,7,10,11,12,13],[1,2,3,4,7,10,11,12,14],[1,2,3,4,7,10,11,12,15],[1,2,3,4,7,10,11,13,14],[1,2,3,4,7,10,11,13,15],[1,2,3,4,7,10,11,14,15],[1,2,3,4,7,10,12,13,14],[1,2,3,4,7,10,12,13,15],[1,2,3,4,7,10,12,14,15],[1,2,3,4,7,10,13,14,15],[1,2,3,4,7,11,12,13,14],[1,2,3,4,7,11,12,13,15],[1,2,3,4,7,11,12,14,15],[1,2,3,4,7,11,13,14,15],[1,2,3,4,7,12,13,14,15],[1,2,3,4,8,9,10,11,12],[1,2,3,4,8,9,10,11,13],[1,2,3,4,8,9,10,11,14],[1,2,3,4,8,9,10,11,15],[1,2,3,4,8,9,10,12,13],[1,2,3,4,8,9,10,12,14],[1,2,3,4,8,9,10,12,15],[1,2,3,4,8,9,10,13,14],[1,2,3,4,8,9,10,13,15],[1,2,3,4,8,9,10,14,15],[1,2,3,4,8,9,11,12,13],[1,2,3,4,8,9,11,12,14],[1,2,3,4,8,9,11,12,15],[1,2,3,4,8,9,11,13,14],[1,2,3,4,8,9,11,13,15],[1,2,3,4,8,9,11,14,15],[1,2,3,4,8,9,12,13,14],[1,2,3,4,8,9,12,13,15],[1,2,3,4,8,9,12,14,15],[1,2,3,4,8,9,13,14,15],[1,2,3,4,8,10,11,12,13],[1,2,3,4,8,10,11,12,14],[1,2,3,4,8,10,11,12,15],[1,2,3,4,8,10,11,13,14],[1,2,3,4,8,10,11,13,15],[1,2,3,4,8,10,11,14,15],[1,2,3,4,8,10,12,13,14],[1,2,3,4,8,10,12,13,15],[1,2,3,4,8,10,12,14,15],[1,2,3,4,8,10,13,14,15],[1,2,3,4,8,11,12,13,14],[1,2,3,4,8,11,12,13,15],[1,2,3,4,8,11,12,14,15],[1,2,3,4,8,11,13,14,15],[1,2,3,4,8,12,13,14,15],[1,2,3,4,9,10,11,12,13],[1,2,3,4,9,10,11,12,14],[1,2,3,4,9,10,11,12,15],[1,2,3,4,9,10,11,13,14],[1,2,3,4,9,10,11,13,15],[1,2,3,4,9,10,11,14,15],[1,2,3,4,9,10,12,13,14],[1,2,3,4,9,10,12,13,15],[1,2,3,4,9,10,12,14,15],[1,2,3,4,9,10,13,14,15],[1,2,3,4,9,11,12,13,14],[1,2,3,4,9,11,12,13,15],[1,2,3,4,9,11,12,14,15],[1,2,3,4,9,11,13,14,15],[1,2,3,4,9,12,13,14,15],[1,2,3,4,10,11,12,13,14],[1,2,3,4,10,11,12,13,15],[1,2,3,4,10,11,12,14,15],[1,2,3,4,10,11,13,14,15],[1,2,3,4,10,12,13,14,15],[1,2,3,4,11,12,13,14,15],[1,2,3,5,6,7,8,9,10],[1,2,3,5,6,7,8,9,11],[1,2,3,5,6,7,8,9,12],[1,2,3,5,6,7,8,9,13],[1,2,3,5,6,7,8,9,14],[1,2,3,5,6,7,8,9,15],[1,2,3,5,6,7,8,10,11],[1,2,3,5,6,7,8,10,12],[1,2,3,5,6,7,8,10,13],[1,2,3,5,6,7,8,10,14],[1,2,3,5,6,7,8,10,15],[1,2,3,5,6,7,8,11,12],[1,2,3,5,6,7,8,11,13],[1,2,3,5,6,7,8,11,14],[1,2,3,5,6,7,8,11,15],[1,2,3,5,6,7,8,12,13],[1,2,3,5,6,7,8,12,14],[1,2,3,5,6,7,8,12,15],[1,2,3,5,6,7,8,13,14],[1,2,3,5,6,7,8,13,15],[1,2,3,5,6,7,8,14,15],[1,2,3,5,6,7,9,10,11],[1,2,3,5,6,7,9,10,12],[1,2,3,5,6,7,9,10,13],[1,2,3,5,6,7,9,10,14],[1,2,3,5,6,7,9,10,15],[1,2,3,5,6,7,9,11,12],[1,2,3,5,6,7,9,11,13],[1,2,3,5,6,7,9,11,14],[1,2,3,5,6,7,9,11,15],[1,2,3,5,6,7,9,12,13],[1,2,3,5,6,7,9,12,14],[1,2,3,5,6,7,9,12,15],[1,2,3,5,6,7,9,13,14],[1,2,3,5,6,7,9,13,15],[1,2,3,5,6,7,9,14,15],[1,2,3,5,6,7,10,11,12],[1,2,3,5,6,7,10,11,13],[1,2,3,5,6,7,10,11,14],[1,2,3,5,6,7,10,11,15],[1,2,3,5,6,7,10,12,13],[1,2,3,5,6,7,10,12,14],[1,2,3,5,6,7,10,12,15],[1,2,3,5,6,7,10,13,14],[1,2,3,5,6,7,10,13,15],[1,2,3,5,6,7,10,14,15],[1,2,3,5,6,7,11,12,13],[1,2,3,5,6,7,11,12,14],[1,2,3,5,6,7,11,12,15],[1,2,3,5,6,7,11,13,14],[1,2,3,5,6,7,11,13,15],[1,2,3,5,6,7,11,14,15],[1,2,3,5,6,7,12,13,14],[1,2,3,5,6,7,12,13,15],[1,2,3,5,6,7,12,14,15],[1,2,3,5,6,7,13,14,15],[1,2,3,5,6,8,9,10,11],[1,2,3,5,6,8,9,10,12],[1,2,3,5,6,8,9,10,13],[1,2,3,5,6,8,9,10,14],[1,2,3,5,6,8,9,10,15],[1,2,3,5,6,8,9,11,12],[1,2,3,5,6,8,9,11,13],[1,2,3,5,6,8,9,11,14],[1,2,3,5,6,8,9,11,15],[1,2,3,5,6,8,9,12,13],[1,2,3,5,6,8,9,12,14],[1,2,3,5,6,8,9,12,15],[1,2,3,5,6,8,9,13,14],[1,2,3,5,6,8,9,13,15],[1,2,3,5,6,8,9,14,15],[1,2,3,5,6,8,10,11,12],[1,2,3,5,6,8,10,11,13],[1,2,3,5,6,8,10,11,14],[1,2,3,5,6,8,10,11,15],[1,2,3,5,6,8,10,12,13],[1,2,3,5,6,8,10,12,14],[1,2,3,5,6,8,10,12,15],[1,2,3,5,6,8,10,13,14],[1,2,3,5,6,8,10,13,15],[1,2,3,5,6,8,10,14,15],[1,2,3,5,6,8,11,12,13],[1,2,3,5,6,8,11,12,14],[1,2,3,5,6,8,11,12,15],[1,2,3,5,6,8,11,13,14],[1,2,3,5,6,8,11,13,15],[1,2,3,5,6,8,11,14,15],[1,2,3,5,6,8,12,13,14],[1,2,3,5,6,8,12,13,15],[1,2,3,5,6,8,12,14,15],[1,2,3,5,6,8,13,14,15],[1,2,3,5,6,9,10,11,12],[1,2,3,5,6,9,10,11,13],[1,2,3,5,6,9,10,11,14],[1,2,3,5,6,9,10,11,15],[1,2,3,5,6,9,10,12,13],[1,2,3,5,6,9,10,12,14],[1,2,3,5,6,9,10,12,15],[1,2,3,5,6,9,10,13,14],[1,2,3,5,6,9,10,13,15],[1,2,3,5,6,9,10,14,15],[1,2,3,5,6,9,11,12,13],[1,2,3,5,6,9,11,12,14],[1,2,3,5,6,9,11,12,15],[1,2,3,5,6,9,11,13,14],[1,2,3,5,6,9,11,13,15],[1,2,3,5,6,9,11,14,15],[1,2,3,5,6,9,12,13,14],[1,2,3,5,6,9,12,13,15],[1,2,3,5,6,9,12,14,15],[1,2,3,5,6,9,13,14,15],[1,2,3,5,6,10,11,12,13],[1,2,3,5,6,10,11,12,14],[1,2,3,5,6,10,11,12,15],[1,2,3,5,6,10,11,13,14],[1,2,3,5,6,10,11,13,15],[1,2,3,5,6,10,11,14,15],[1,2,3,5,6,10,12,13,14],[1,2,3,5,6,10,12,13,15],[1,2,3,5,6,10,12,14,15],[1,2,3,5,6,10,13,14,15],[1,2,3,5,6,11,12,13,14],[1,2,3,5,6,11,12,13,15],[1,2,3,5,6,11,12,14,15],[1,2,3,5,6,11,13,14,15],[1,2,3,5,6,12,13,14,15],[1,2,3,5,7,8,9,10,11],[1,2,3,5,7,8,9,10,12],[1,2,3,5,7,8,9,10,13],[1,2,3,5,7,8,9,10,14],[1,2,3,5,7,8,9,10,15],[1,2,3,5,7,8,9,11,12],[1,2,3,5,7,8,9,11,13],[1,2,3,5,7,8,9,11,14],[1,2,3,5,7,8,9,11,15],[1,2,3,5,7,8,9,12,13],[1,2,3,5,7,8,9,12,14],[1,2,3,5,7,8,9,12,15],[1,2,3,5,7,8,9,13,14],[1,2,3,5,7,8,9,13,15],[1,2,3,5,7,8,9,14,15],[1,2,3,5,7,8,10,11,12],[1,2,3,5,7,8,10,11,13],[1,2,3,5,7,8,10,11,14],[1,2,3,5,7,8,10,11,15],[1,2,3,5,7,8,10,12,13],[1,2,3,5,7,8,10,12,14],[1,2,3,5,7,8,10,12,15],[1,2,3,5,7,8,10,13,14],[1,2,3,5,7,8,10,13,15],[1,2,3,5,7,8,10,14,15],[1,2,3,5,7,8,11,12,13],[1,2,3,5,7,8,11,12,14],[1,2,3,5,7,8,11,12,15],[1,2,3,5,7,8,11,13,14],[1,2,3,5,7,8,11,13,15],[1,2,3,5,7,8,11,14,15],[1,2,3,5,7,8,12,13,14],[1,2,3,5,7,8,12,13,15],[1,2,3,5,7,8,12,14,15],[1,2,3,5,7,8,13,14,15],[1,2,3,5,7,9,10,11,12],[1,2,3,5,7,9,10,11,13],[1,2,3,5,7,9,10,11,14],[1,2,3,5,7,9,10,11,15],[1,2,3,5,7,9,10,12,13],[1,2,3,5,7,9,10,12,14],[1,2,3,5,7,9,10,12,15],[1,2,3,5,7,9,10,13,14],[1,2,3,5,7,9,10,13,15],[1,2,3,5,7,9,10,14,15],[1,2,3,5,7,9,11,12,13],[1,2,3,5,7,9,11,12,14],[1,2,3,5,7,9,11,12,15],[1,2,3,5,7,9,11,13,14],[1,2,3,5,7,9,11,13,15],[1,2,3,5,7,9,11,14,15],[1,2,3,5,7,9,12,13,14],[1,2,3,5,7,9,12,13,15],[1,2,3,5,7,9,12,14,15],[1,2,3,5,7,9,13,14,15],[1,2,3,5,7,10,11,12,13],[1,2,3,5,7,10,11,12,14],[1,2,3,5,7,10,11,12,15],[1,2,3,5,7,10,11,13,14],[1,2,3,5,7,10,11,13,15],[1,2,3,5,7,10,11,14,15],[1,2,3,5,7,10,12,13,14],[1,2,3,5,7,10,12,13,15],[1,2,3,5,7,10,12,14,15],[1,2,3,5,7,10,13,14,15],[1,2,3,5,7,11,12,13,14],[1,2,3,5,7,11,12,13,15],[1,2,3,5,7,11,12,14,15],[1,2,3,5,7,11,13,14,15],[1,2,3,5,7,12,13,14,15],[1,2,3,5,8,9,10,11,12],[1,2,3,5,8,9,10,11,13],[1,2,3,5,8,9,10,11,14],[1,2,3,5,8,9,10,11,15],[1,2,3,5,8,9,10,12,13],[1,2,3,5,8,9,10,12,14],[1,2,3,5,8,9,10,12,15],[1,2,3,5,8,9,10,13,14],[1,2,3,5,8,9,10,13,15],[1,2,3,5,8,9,10,14,15],[1,2,3,5,8,9,11,12,13],[1,2,3,5,8,9,11,12,14],[1,2,3,5,8,9,11,12,15],[1,2,3,5,8,9,11,13,14],[1,2,3,5,8,9,11,13,15],[1,2,3,5,8,9,11,14,15],[1,2,3,5,8,9,12,13,14],[1,2,3,5,8,9,12,13,15],[1,2,3,5,8,9,12,14,15],[1,2,3,5,8,9,13,14,15],[1,2,3,5,8,10,11,12,13],[1,2,3,5,8,10,11,12,14],[1,2,3,5,8,10,11,12,15],[1,2,3,5,8,10,11,13,14],[1,2,3,5,8,10,11,13,15],[1,2,3,5,8,10,11,14,15],[1,2,3,5,8,10,12,13,14],[1,2,3,5,8,10,12,13,15],[1,2,3,5,8,10,12,14,15],[1,2,3,5,8,10,13,14,15],[1,2,3,5,8,11,12,13,14],[1,2,3,5,8,11,12,13,15],[1,2,3,5,8,11,12,14,15],[1,2,3,5,8,11,13,14,15],[1,2,3,5,8,12,13,14,15],[1,2,3,5,9,10,11,12,13],[1,2,3,5,9,10,11,12,14],[1,2,3,5,9,10,11,12,15],[1,2,3,5,9,10,11,13,14],[1,2,3,5,9,10,11,13,15],[1,2,3,5,9,10,11,14,15],[1,2,3,5,9,10,12,13,14],[1,2,3,5,9,10,12,13,15],[1,2,3,5,9,10,12,14,15],[1,2,3,5,9,10,13,14,15],[1,2,3,5,9,11,12,13,14],[1,2,3,5,9,11,12,13,15],[1,2,3,5,9,11,12,14,15],[1,2,3,5,9,11,13,14,15],[1,2,3,5,9,12,13,14,15],[1,2,3,5,10,11,12,13,14],[1,2,3,5,10,11,12,13,15],[1,2,3,5,10,11,12,14,15],[1,2,3,5,10,11,13,14,15],[1,2,3,5,10,12,13,14,15],[1,2,3,5,11,12,13,14,15],[1,2,3,6,7,8,9,10,11],[1,2,3,6,7,8,9,10,12],[1,2,3,6,7,8,9,10,13],[1,2,3,6,7,8,9,10,14],[1,2,3,6,7,8,9,10,15],[1,2,3,6,7,8,9,11,12],[1,2,3,6,7,8,9,11,13],[1,2,3,6,7,8,9,11,14],[1,2,3,6,7,8,9,11,15],[1,2,3,6,7,8,9,12,13],[1,2,3,6,7,8,9,12,14],[1,2,3,6,7,8,9,12,15],[1,2,3,6,7,8,9,13,14],[1,2,3,6,7,8,9,13,15],[1,2,3,6,7,8,9,14,15],[1,2,3,6,7,8,10,11,12],[1,2,3,6,7,8,10,11,13],[1,2,3,6,7,8,10,11,14],[1,2,3,6,7,8,10,11,15],[1,2,3,6,7,8,10,12,13],[1,2,3,6,7,8,10,12,14],[1,2,3,6,7,8,10,12,15],[1,2,3,6,7,8,10,13,14],[1,2,3,6,7,8,10,13,15],[1,2,3,6,7,8,10,14,15],[1,2,3,6,7,8,11,12,13],[1,2,3,6,7,8,11,12,14],[1,2,3,6,7,8,11,12,15],[1,2,3,6,7,8,11,13,14],[1,2,3,6,7,8,11,13,15],[1,2,3,6,7,8,11,14,15],[1,2,3,6,7,8,12,13,14],[1,2,3,6,7,8,12,13,15],[1,2,3,6,7,8,12,14,15],[1,2,3,6,7,8,13,14,15],[1,2,3,6,7,9,10,11,12],[1,2,3,6,7,9,10,11,13],[1,2,3,6,7,9,10,11,14],[1,2,3,6,7,9,10,11,15],[1,2,3,6,7,9,10,12,13],[1,2,3,6,7,9,10,12,14],[1,2,3,6,7,9,10,12,15],[1,2,3,6,7,9,10,13,14],[1,2,3,6,7,9,10,13,15],[1,2,3,6,7,9,10,14,15],[1,2,3,6,7,9,11,12,13],[1,2,3,6,7,9,11,12,14],[1,2,3,6,7,9,11,12,15],[1,2,3,6,7,9,11,13,14],[1,2,3,6,7,9,11,13,15],[1,2,3,6,7,9,11,14,15],[1,2,3,6,7,9,12,13,14],[1,2,3,6,7,9,12,13,15],[1,2,3,6,7,9,12,14,15],[1,2,3,6,7,9,13,14,15],[1,2,3,6,7,10,11,12,13],[1,2,3,6,7,10,11,12,14],[1,2,3,6,7,10,11,12,15],[1,2,3,6,7,10,11,13,14],[1,2,3,6,7,10,11,13,15],[1,2,3,6,7,10,11,14,15],[1,2,3,6,7,10,12,13,14],[1,2,3,6,7,10,12,13,15],[1,2,3,6,7,10,12,14,15],[1,2,3,6,7,10,13,14,15],[1,2,3,6,7,11,12,13,14],[1,2,3,6,7,11,12,13,15],[1,2,3,6,7,11,12,14,15],[1,2,3,6,7,11,13,14,15],[1,2,3,6,7,12,13,14,15],[1,2,3,6,8,9,10,11,12],[1,2,3,6,8,9,10,11,13],[1,2,3,6,8,9,10,11,14],[1,2,3,6,8,9,10,11,15],[1,2,3,6,8,9,10,12,13],[1,2,3,6,8,9,10,12,14],[1,2,3,6,8,9,10,12,15],[1,2,3,6,8,9,10,13,14],[1,2,3,6,8,9,10,13,15],[1,2,3,6,8,9,10,14,15],[1,2,3,6,8,9,11,12,13],[1,2,3,6,8,9,11,12,14],[1,2,3,6,8,9,11,12,15],[1,2,3,6,8,9,11,13,14],[1,2,3,6,8,9,11,13,15],[1,2,3,6,8,9,11,14,15],[1,2,3,6,8,9,12,13,14],[1,2,3,6,8,9,12,13,15],[1,2,3,6,8,9,12,14,15],[1,2,3,6,8,9,13,14,15],[1,2,3,6,8,10,11,12,13],[1,2,3,6,8,10,11,12,14],[1,2,3,6,8,10,11,12,15],[1,2,3,6,8,10,11,13,14],[1,2,3,6,8,10,11,13,15],[1,2,3,6,8,10,11,14,15],[1,2,3,6,8,10,12,13,14],[1,2,3,6,8,10,12,13,15],[1,2,3,6,8,10,12,14,15],[1,2,3,6,8,10,13,14,15],[1,2,3,6,8,11,12,13,14],[1,2,3,6,8,11,12,13,15],[1,2,3,6,8,11,12,14,15],[1,2,3,6,8,11,13,14,15],[1,2,3,6,8,12,13,14,15],[1,2,3,6,9,10,11,12,13],[1,2,3,6,9,10,11,12,14],[1,2,3,6,9,10,11,12,15],[1,2,3,6,9,10,11,13,14],[1,2,3,6,9,10,11,13,15],[1,2,3,6,9,10,11,14,15],[1,2,3,6,9,10,12,13,14],[1,2,3,6,9,10,12,13,15],[1,2,3,6,9,10,12,14,15],[1,2,3,6,9,10,13,14,15],[1,2,3,6,9,11,12,13,14],[1,2,3,6,9,11,12,13,15],[1,2,3,6,9,11,12,14,15],[1,2,3,6,9,11,13,14,15],[1,2,3,6,9,12,13,14,15],[1,2,3,6,10,11,12,13,14],[1,2,3,6,10,11,12,13,15],[1,2,3,6,10,11,12,14,15],[1,2,3,6,10,11,13,14,15],[1,2,3,6,10,12,13,14,15],[1,2,3,6,11,12,13,14,15],[1,2,3,7,8,9,10,11,12],[1,2,3,7,8,9,10,11,13],[1,2,3,7,8,9,10,11,14],[1,2,3,7,8,9,10,11,15],[1,2,3,7,8,9,10,12,13],[1,2,3,7,8,9,10,12,14],[1,2,3,7,8,9,10,12,15],[1,2,3,7,8,9,10,13,14],[1,2,3,7,8,9,10,13,15],[1,2,3,7,8,9,10,14,15],[1,2,3,7,8,9,11,12,13],[1,2,3,7,8,9,11,12,14],[1,2,3,7,8,9,11,12,15],[1,2,3,7,8,9,11,13,14],[1,2,3,7,8,9,11,13,15],[1,2,3,7,8,9,11,14,15],[1,2,3,7,8,9,12,13,14],[1,2,3,7,8,9,12,13,15],[1,2,3,7,8,9,12,14,15],[1,2,3,7,8,9,13,14,15],[1,2,3,7,8,10,11,12,13],[1,2,3,7,8,10,11,12,14],[1,2,3,7,8,10,11,12,15],[1,2,3,7,8,10,11,13,14],[1,2,3,7,8,10,11,13,15],[1,2,3,7,8,10,11,14,15],[1,2,3,7,8,10,12,13,14],[1,2,3,7,8,10,12,13,15],[1,2,3,7,8,10,12,14,15],[1,2,3,7,8,10,13,14,15],[1,2,3,7,8,11,12,13,14],[1,2,3,7,8,11,12,13,15],[1,2,3,7,8,11,12,14,15],[1,2,3,7,8,11,13,14,15],[1,2,3,7,8,12,13,14,15],[1,2,3,7,9,10,11,12,13],[1,2,3,7,9,10,11,12,14],[1,2,3,7,9,10,11,12,15],[1,2,3,7,9,10,11,13,14],[1,2,3,7,9,10,11,13,15],[1,2,3,7,9,10,11,14,15],[1,2,3,7,9,10,12,13,14],[1,2,3,7,9,10,12,13,15],[1,2,3,7,9,10,12,14,15],[1,2,3,7,9,10,13,14,15],[1,2,3,7,9,11,12,13,14],[1,2,3,7,9,11,12,13,15],[1,2,3,7,9,11,12,14,15],[1,2,3,7,9,11,13,14,15],[1,2,3,7,9,12,13,14,15],[1,2,3,7,10,11,12,13,14],[1,2,3,7,10,11,12,13,15],[1,2,3,7,10,11,12,14,15],[1,2,3,7,10,11,13,14,15],[1,2,3,7,10,12,13,14,15],[1,2,3,7,11,12,13,14,15],[1,2,3,8,9,10,11,12,13],[1,2,3,8,9,10,11,12,14],[1,2,3,8,9,10,11,12,15],[1,2,3,8,9,10,11,13,14],[1,2,3,8,9,10,11,13,15],[1,2,3,8,9,10,11,14,15],[1,2,3,8,9,10,12,13,14],[1,2,3,8,9,10,12,13,15],[1,2,3,8,9,10,12,14,15],[1,2,3,8,9,10,13,14,15],[1,2,3,8,9,11,12,13,14],[1,2,3,8,9,11,12,13,15],[1,2,3,8,9,11,12,14,15],[1,2,3,8,9,11,13,14,15],[1,2,3,8,9,12,13,14,15],[1,2,3,8,10,11,12,13,14],[1,2,3,8,10,11,12,13,15],[1,2,3,8,10,11,12,14,15],[1,2,3,8,10,11,13,14,15],[1,2,3,8,10,12,13,14,15],[1,2,3,8,11,12,13,14,15],[1,2,3,9,10,11,12,13,14],[1,2,3,9,10,11,12,13,15],[1,2,3,9,10,11,12,14,15],[1,2,3,9,10,11,13,14,15],[1,2,3,9,10,12,13,14,15],[1,2,3,9,11,12,13,14,15],[1,2,3,10,11,12,13,14,15],[1,2,4,5,6,7,8,9,10],[1,2,4,5,6,7,8,9,11],[1,2,4,5,6,7,8,9,12],[1,2,4,5,6,7,8,9,13],[1,2,4,5,6,7,8,9,14],[1,2,4,5,6,7,8,9,15],[1,2,4,5,6,7,8,10,11],[1,2,4,5,6,7,8,10,12],[1,2,4,5,6,7,8,10,13],[1,2,4,5,6,7,8,10,14],[1,2,4,5,6,7,8,10,15],[1,2,4,5,6,7,8,11,12],[1,2,4,5,6,7,8,11,13],[1,2,4,5,6,7,8,11,14],[1,2,4,5,6,7,8,11,15],[1,2,4,5,6,7,8,12,13],[1,2,4,5,6,7,8,12,14],[1,2,4,5,6,7,8,12,15],[1,2,4,5,6,7,8,13,14],[1,2,4,5,6,7,8,13,15],[1,2,4,5,6,7,8,14,15],[1,2,4,5,6,7,9,10,11],[1,2,4,5,6,7,9,10,12],[1,2,4,5,6,7,9,10,13],[1,2,4,5,6,7,9,10,14],[1,2,4,5,6,7,9,10,15],[1,2,4,5,6,7,9,11,12],[1,2,4,5,6,7,9,11,13],[1,2,4,5,6,7,9,11,14],[1,2,4,5,6,7,9,11,15],[1,2,4,5,6,7,9,12,13],[1,2,4,5,6,7,9,12,14],[1,2,4,5,6,7,9,12,15],[1,2,4,5,6,7,9,13,14],[1,2,4,5,6,7,9,13,15],[1,2,4,5,6,7,9,14,15],[1,2,4,5,6,7,10,11,12],[1,2,4,5,6,7,10,11,13],[1,2,4,5,6,7,10,11,14],[1,2,4,5,6,7,10,11,15],[1,2,4,5,6,7,10,12,13],[1,2,4,5,6,7,10,12,14],[1,2,4,5,6,7,10,12,15],[1,2,4,5,6,7,10,13,14],[1,2,4,5,6,7,10,13,15],[1,2,4,5,6,7,10,14,15],[1,2,4,5,6,7,11,12,13],[1,2,4,5,6,7,11,12,14],[1,2,4,5,6,7,11,12,15],[1,2,4,5,6,7,11,13,14],[1,2,4,5,6,7,11,13,15],[1,2,4,5,6,7,11,14,15],[1,2,4,5,6,7,12,13,14],[1,2,4,5,6,7,12,13,15],[1,2,4,5,6,7,12,14,15],[1,2,4,5,6,7,13,14,15],[1,2,4,5,6,8,9,10,11],[1,2,4,5,6,8,9,10,12],[1,2,4,5,6,8,9,10,13],[1,2,4,5,6,8,9,10,14],[1,2,4,5,6,8,9,10,15],[1,2,4,5,6,8,9,11,12],[1,2,4,5,6,8,9,11,13],[1,2,4,5,6,8,9,11,14],[1,2,4,5,6,8,9,11,15],[1,2,4,5,6,8,9,12,13],[1,2,4,5,6,8,9,12,14],[1,2,4,5,6,8,9,12,15],[1,2,4,5,6,8,9,13,14],[1,2,4,5,6,8,9,13,15],[1,2,4,5,6,8,9,14,15],[1,2,4,5,6,8,10,11,12],[1,2,4,5,6,8,10,11,13],[1,2,4,5,6,8,10,11,14],[1,2,4,5,6,8,10,11,15],[1,2,4,5,6,8,10,12,13],[1,2,4,5,6,8,10,12,14],[1,2,4,5,6,8,10,12,15],[1,2,4,5,6,8,10,13,14],[1,2,4,5,6,8,10,13,15],[1,2,4,5,6,8,10,14,15],[1,2,4,5,6,8,11,12,13],[1,2,4,5,6,8,11,12,14],[1,2,4,5,6,8,11,12,15],[1,2,4,5,6,8,11,13,14],[1,2,4,5,6,8,11,13,15],[1,2,4,5,6,8,11,14,15],[1,2,4,5,6,8,12,13,14],[1,2,4,5,6,8,12,13,15],[1,2,4,5,6,8,12,14,15],[1,2,4,5,6,8,13,14,15],[1,2,4,5,6,9,10,11,12],[1,2,4,5,6,9,10,11,13],[1,2,4,5,6,9,10,11,14],[1,2,4,5,6,9,10,11,15],[1,2,4,5,6,9,10,12,13],[1,2,4,5,6,9,10,12,14],[1,2,4,5,6,9,10,12,15],[1,2,4,5,6,9,10,13,14],[1,2,4,5,6,9,10,13,15],[1,2,4,5,6,9,10,14,15],[1,2,4,5,6,9,11,12,13],[1,2,4,5,6,9,11,12,14],[1,2,4,5,6,9,11,12,15],[1,2,4,5,6,9,11,13,14],[1,2,4,5,6,9,11,13,15],[1,2,4,5,6,9,11,14,15],[1,2,4,5,6,9,12,13,14],[1,2,4,5,6,9,12,13,15],[1,2,4,5,6,9,12,14,15],[1,2,4,5,6,9,13,14,15],[1,2,4,5,6,10,11,12,13],[1,2,4,5,6,10,11,12,14],[1,2,4,5,6,10,11,12,15],[1,2,4,5,6,10,11,13,14],[1,2,4,5,6,10,11,13,15],[1,2,4,5,6,10,11,14,15],[1,2,4,5,6,10,12,13,14],[1,2,4,5,6,10,12,13,15],[1,2,4,5,6,10,12,14,15],[1,2,4,5,6,10,13,14,15],[1,2,4,5,6,11,12,13,14],[1,2,4,5,6,11,12,13,15],[1,2,4,5,6,11,12,14,15],[1,2,4,5,6,11,13,14,15],[1,2,4,5,6,12,13,14,15],[1,2,4,5,7,8,9,10,11],[1,2,4,5,7,8,9,10,12],[1,2,4,5,7,8,9,10,13],[1,2,4,5,7,8,9,10,14],[1,2,4,5,7,8,9,10,15],[1,2,4,5,7,8,9,11,12],[1,2,4,5,7,8,9,11,13],[1,2,4,5,7,8,9,11,14],[1,2,4,5,7,8,9,11,15],[1,2,4,5,7,8,9,12,13],[1,2,4,5,7,8,9,12,14],[1,2,4,5,7,8,9,12,15],[1,2,4,5,7,8,9,13,14],[1,2,4,5,7,8,9,13,15],[1,2,4,5,7,8,9,14,15],[1,2,4,5,7,8,10,11,12],[1,2,4,5,7,8,10,11,13],[1,2,4,5,7,8,10,11,14],[1,2,4,5,7,8,10,11,15],[1,2,4,5,7,8,10,12,13],[1,2,4,5,7,8,10,12,14],[1,2,4,5,7,8,10,12,15],[1,2,4,5,7,8,10,13,14],[1,2,4,5,7,8,10,13,15],[1,2,4,5,7,8,10,14,15],[1,2,4,5,7,8,11,12,13],[1,2,4,5,7,8,11,12,14],[1,2,4,5,7,8,11,12,15],[1,2,4,5,7,8,11,13,14],[1,2,4,5,7,8,11,13,15],[1,2,4,5,7,8,11,14,15],[1,2,4,5,7,8,12,13,14],[1,2,4,5,7,8,12,13,15],[1,2,4,5,7,8,12,14,15],[1,2,4,5,7,8,13,14,15],[1,2,4,5,7,9,10,11,12],[1,2,4,5,7,9,10,11,13],[1,2,4,5,7,9,10,11,14],[1,2,4,5,7,9,10,11,15],[1,2,4,5,7,9,10,12,13],[1,2,4,5,7,9,10,12,14],[1,2,4,5,7,9,10,12,15],[1,2,4,5,7,9,10,13,14],[1,2,4,5,7,9,10,13,15],[1,2,4,5,7,9,10,14,15],[1,2,4,5,7,9,11,12,13],[1,2,4,5,7,9,11,12,14],[1,2,4,5,7,9,11,12,15],[1,2,4,5,7,9,11,13,14],[1,2,4,5,7,9,11,13,15],[1,2,4,5,7,9,11,14,15],[1,2,4,5,7,9,12,13,14],[1,2,4,5,7,9,12,13,15],[1,2,4,5,7,9,12,14,15],[1,2,4,5,7,9,13,14,15],[1,2,4,5,7,10,11,12,13],[1,2,4,5,7,10,11,12,14],[1,2,4,5,7,10,11,12,15],[1,2,4,5,7,10,11,13,14],[1,2,4,5,7,10,11,13,15],[1,2,4,5,7,10,11,14,15],[1,2,4,5,7,10,12,13,14],[1,2,4,5,7,10,12,13,15],[1,2,4,5,7,10,12,14,15],[1,2,4,5,7,10,13,14,15],[1,2,4,5,7,11,12,13,14],[1,2,4,5,7,11,12,13,15],[1,2,4,5,7,11,12,14,15],[1,2,4,5,7,11,13,14,15],[1,2,4,5,7,12,13,14,15],[1,2,4,5,8,9,10,11,12],[1,2,4,5,8,9,10,11,13],[1,2,4,5,8,9,10,11,14],[1,2,4,5,8,9,10,11,15],[1,2,4,5,8,9,10,12,13],[1,2,4,5,8,9,10,12,14],[1,2,4,5,8,9,10,12,15],[1,2,4,5,8,9,10,13,14],[1,2,4,5,8,9,10,13,15],[1,2,4,5,8,9,10,14,15],[1,2,4,5,8,9,11,12,13],[1,2,4,5,8,9,11,12,14],[1,2,4,5,8,9,11,12,15],[1,2,4,5,8,9,11,13,14],[1,2,4,5,8,9,11,13,15],[1,2,4,5,8,9,11,14,15],[1,2,4,5,8,9,12,13,14],[1,2,4,5,8,9,12,13,15],[1,2,4,5,8,9,12,14,15],[1,2,4,5,8,9,13,14,15],[1,2,4,5,8,10,11,12,13],[1,2,4,5,8,10,11,12,14],[1,2,4,5,8,10,11,12,15],[1,2,4,5,8,10,11,13,14],[1,2,4,5,8,10,11,13,15],[1,2,4,5,8,10,11,14,15],[1,2,4,5,8,10,12,13,14],[1,2,4,5,8,10,12,13,15],[1,2,4,5,8,10,12,14,15],[1,2,4,5,8,10,13,14,15],[1,2,4,5,8,11,12,13,14],[1,2,4,5,8,11,12,13,15],[1,2,4,5,8,11,12,14,15],[1,2,4,5,8,11,13,14,15],[1,2,4,5,8,12,13,14,15],[1,2,4,5,9,10,11,12,13],[1,2,4,5,9,10,11,12,14],[1,2,4,5,9,10,11,12,15],[1,2,4,5,9,10,11,13,14],[1,2,4,5,9,10,11,13,15],[1,2,4,5,9,10,11,14,15],[1,2,4,5,9,10,12,13,14],[1,2,4,5,9,10,12,13,15],[1,2,4,5,9,10,12,14,15],[1,2,4,5,9,10,13,14,15],[1,2,4,5,9,11,12,13,14],[1,2,4,5,9,11,12,13,15],[1,2,4,5,9,11,12,14,15],[1,2,4,5,9,11,13,14,15],[1,2,4,5,9,12,13,14,15],[1,2,4,5,10,11,12,13,14],[1,2,4,5,10,11,12,13,15],[1,2,4,5,10,11,12,14,15],[1,2,4,5,10,11,13,14,15],[1,2,4,5,10,12,13,14,15],[1,2,4,5,11,12,13,14,15],[1,2,4,6,7,8,9,10,11],[1,2,4,6,7,8,9,10,12],[1,2,4,6,7,8,9,10,13],[1,2,4,6,7,8,9,10,14],[1,2,4,6,7,8,9,10,15],[1,2,4,6,7,8,9,11,12],[1,2,4,6,7,8,9,11,13],[1,2,4,6,7,8,9,11,14],[1,2,4,6,7,8,9,11,15],[1,2,4,6,7,8,9,12,13],[1,2,4,6,7,8,9,12,14],[1,2,4,6,7,8,9,12,15],[1,2,4,6,7,8,9,13,14],[1,2,4,6,7,8,9,13,15],[1,2,4,6,7,8,9,14,15],[1,2,4,6,7,8,10,11,12],[1,2,4,6,7,8,10,11,13],[1,2,4,6,7,8,10,11,14],[1,2,4,6,7,8,10,11,15],[1,2,4,6,7,8,10,12,13],[1,2,4,6,7,8,10,12,14],[1,2,4,6,7,8,10,12,15],[1,2,4,6,7,8,10,13,14],[1,2,4,6,7,8,10,13,15],[1,2,4,6,7,8,10,14,15],[1,2,4,6,7,8,11,12,13],[1,2,4,6,7,8,11,12,14],[1,2,4,6,7,8,11,12,15],[1,2,4,6,7,8,11,13,14],[1,2,4,6,7,8,11,13,15],[1,2,4,6,7,8,11,14,15],[1,2,4,6,7,8,12,13,14],[1,2,4,6,7,8,12,13,15],[1,2,4,6,7,8,12,14,15],[1,2,4,6,7,8,13,14,15],[1,2,4,6,7,9,10,11,12],[1,2,4,6,7,9,10,11,13],[1,2,4,6,7,9,10,11,14],[1,2,4,6,7,9,10,11,15],[1,2,4,6,7,9,10,12,13],[1,2,4,6,7,9,10,12,14],[1,2,4,6,7,9,10,12,15],[1,2,4,6,7,9,10,13,14],[1,2,4,6,7,9,10,13,15],[1,2,4,6,7,9,10,14,15],[1,2,4,6,7,9,11,12,13],[1,2,4,6,7,9,11,12,14],[1,2,4,6,7,9,11,12,15],[1,2,4,6,7,9,11,13,14],[1,2,4,6,7,9,11,13,15],[1,2,4,6,7,9,11,14,15],[1,2,4,6,7,9,12,13,14],[1,2,4,6,7,9,12,13,15],[1,2,4,6,7,9,12,14,15],[1,2,4,6,7,9,13,14,15],[1,2,4,6,7,10,11,12,13],[1,2,4,6,7,10,11,12,14],[1,2,4,6,7,10,11,12,15],[1,2,4,6,7,10,11,13,14],[1,2,4,6,7,10,11,13,15],[1,2,4,6,7,10,11,14,15],[1,2,4,6,7,10,12,13,14],[1,2,4,6,7,10,12,13,15],[1,2,4,6,7,10,12,14,15],[1,2,4,6,7,10,13,14,15],[1,2,4,6,7,11,12,13,14],[1,2,4,6,7,11,12,13,15],[1,2,4,6,7,11,12,14,15],[1,2,4,6,7,11,13,14,15],[1,2,4,6,7,12,13,14,15],[1,2,4,6,8,9,10,11,12],[1,2,4,6,8,9,10,11,13],[1,2,4,6,8,9,10,11,14],[1,2,4,6,8,9,10,11,15],[1,2,4,6,8,9,10,12,13],[1,2,4,6,8,9,10,12,14],[1,2,4,6,8,9,10,12,15],[1,2,4,6,8,9,10,13,14],[1,2,4,6,8,9,10,13,15],[1,2,4,6,8,9,10,14,15],[1,2,4,6,8,9,11,12,13],[1,2,4,6,8,9,11,12,14],[1,2,4,6,8,9,11,12,15],[1,2,4,6,8,9,11,13,14],[1,2,4,6,8,9,11,13,15],[1,2,4,6,8,9,11,14,15],[1,2,4,6,8,9,12,13,14],[1,2,4,6,8,9,12,13,15],[1,2,4,6,8,9,12,14,15],[1,2,4,6,8,9,13,14,15],[1,2,4,6,8,10,11,12,13],[1,2,4,6,8,10,11,12,14],[1,2,4,6,8,10,11,12,15],[1,2,4,6,8,10,11,13,14],[1,2,4,6,8,10,11,13,15],[1,2,4,6,8,10,11,14,15],[1,2,4,6,8,10,12,13,14],[1,2,4,6,8,10,12,13,15],[1,2,4,6,8,10,12,14,15],[1,2,4,6,8,10,13,14,15],[1,2,4,6,8,11,12,13,14],[1,2,4,6,8,11,12,13,15],[1,2,4,6,8,11,12,14,15],[1,2,4,6,8,11,13,14,15],[1,2,4,6,8,12,13,14,15],[1,2,4,6,9,10,11,12,13],[1,2,4,6,9,10,11,12,14],[1,2,4,6,9,10,11,12,15],[1,2,4,6,9,10,11,13,14],[1,2,4,6,9,10,11,13,15],[1,2,4,6,9,10,11,14,15],[1,2,4,6,9,10,12,13,14],[1,2,4,6,9,10,12,13,15],[1,2,4,6,9,10,12,14,15],[1,2,4,6,9,10,13,14,15],[1,2,4,6,9,11,12,13,14],[1,2,4,6,9,11,12,13,15],[1,2,4,6,9,11,12,14,15],[1,2,4,6,9,11,13,14,15],[1,2,4,6,9,12,13,14,15],[1,2,4,6,10,11,12,13,14],[1,2,4,6,10,11,12,13,15],[1,2,4,6,10,11,12,14,15],[1,2,4,6,10,11,13,14,15],[1,2,4,6,10,12,13,14,15],[1,2,4,6,11,12,13,14,15],[1,2,4,7,8,9,10,11,12],[1,2,4,7,8,9,10,11,13],[1,2,4,7,8,9,10,11,14],[1,2,4,7,8,9,10,11,15],[1,2,4,7,8,9,10,12,13],[1,2,4,7,8,9,10,12,14],[1,2,4,7,8,9,10,12,15],[1,2,4,7,8,9,10,13,14],[1,2,4,7,8,9,10,13,15],[1,2,4,7,8,9,10,14,15],[1,2,4,7,8,9,11,12,13],[1,2,4,7,8,9,11,12,14],[1,2,4,7,8,9,11,12,15],[1,2,4,7,8,9,11,13,14],[1,2,4,7,8,9,11,13,15],[1,2,4,7,8,9,11,14,15],[1,2,4,7,8,9,12,13,14],[1,2,4,7,8,9,12,13,15],[1,2,4,7,8,9,12,14,15],[1,2,4,7,8,9,13,14,15],[1,2,4,7,8,10,11,12,13],[1,2,4,7,8,10,11,12,14],[1,2,4,7,8,10,11,12,15],[1,2,4,7,8,10,11,13,14],[1,2,4,7,8,10,11,13,15],[1,2,4,7,8,10,11,14,15],[1,2,4,7,8,10,12,13,14],[1,2,4,7,8,10,12,13,15],[1,2,4,7,8,10,12,14,15],[1,2,4,7,8,10,13,14,15],[1,2,4,7,8,11,12,13,14],[1,2,4,7,8,11,12,13,15],[1,2,4,7,8,11,12,14,15],[1,2,4,7,8,11,13,14,15],[1,2,4,7,8,12,13,14,15],[1,2,4,7,9,10,11,12,13],[1,2,4,7,9,10,11,12,14],[1,2,4,7,9,10,11,12,15],[1,2,4,7,9,10,11,13,14],[1,2,4,7,9,10,11,13,15],[1,2,4,7,9,10,11,14,15],[1,2,4,7,9,10,12,13,14],[1,2,4,7,9,10,12,13,15],[1,2,4,7,9,10,12,14,15],[1,2,4,7,9,10,13,14,15],[1,2,4,7,9,11,12,13,14],[1,2,4,7,9,11,12,13,15],[1,2,4,7,9,11,12,14,15],[1,2,4,7,9,11,13,14,15],[1,2,4,7,9,12,13,14,15],[1,2,4,7,10,11,12,13,14],[1,2,4,7,10,11,12,13,15],[1,2,4,7,10,11,12,14,15],[1,2,4,7,10,11,13,14,15],[1,2,4,7,10,12,13,14,15],[1,2,4,7,11,12,13,14,15],[1,2,4,8,9,10,11,12,13],[1,2,4,8,9,10,11,12,14],[1,2,4,8,9,10,11,12,15],[1,2,4,8,9,10,11,13,14],[1,2,4,8,9,10,11,13,15],[1,2,4,8,9,10,11,14,15],[1,2,4,8,9,10,12,13,14],[1,2,4,8,9,10,12,13,15],[1,2,4,8,9,10,12,14,15],[1,2,4,8,9,10,13,14,15],[1,2,4,8,9,11,12,13,14],[1,2,4,8,9,11,12,13,15],[1,2,4,8,9,11,12,14,15],[1,2,4,8,9,11,13,14,15],[1,2,4,8,9,12,13,14,15],[1,2,4,8,10,11,12,13,14],[1,2,4,8,10,11,12,13,15],[1,2,4,8,10,11,12,14,15],[1,2,4,8,10,11,13,14,15],[1,2,4,8,10,12,13,14,15],[1,2,4,8,11,12,13,14,15],[1,2,4,9,10,11,12,13,14],[1,2,4,9,10,11,12,13,15],[1,2,4,9,10,11,12,14,15],[1,2,4,9,10,11,13,14,15],[1,2,4,9,10,12,13,14,15],[1,2,4,9,11,12,13,14,15],[1,2,4,10,11,12,13,14,15],[1,2,5,6,7,8,9,10,11],[1,2,5,6,7,8,9,10,12],[1,2,5,6,7,8,9,10,13],[1,2,5,6,7,8,9,10,14],[1,2,5,6,7,8,9,10,15],[1,2,5,6,7,8,9,11,12],[1,2,5,6,7,8,9,11,13],[1,2,5,6,7,8,9,11,14],[1,2,5,6,7,8,9,11,15],[1,2,5,6,7,8,9,12,13],[1,2,5,6,7,8,9,12,14],[1,2,5,6,7,8,9,12,15],[1,2,5,6,7,8,9,13,14],[1,2,5,6,7,8,9,13,15],[1,2,5,6,7,8,9,14,15],[1,2,5,6,7,8,10,11,12],[1,2,5,6,7,8,10,11,13],[1,2,5,6,7,8,10,11,14],[1,2,5,6,7,8,10,11,15],[1,2,5,6,7,8,10,12,13],[1,2,5,6,7,8,10,12,14],[1,2,5,6,7,8,10,12,15],[1,2,5,6,7,8,10,13,14],[1,2,5,6,7,8,10,13,15],[1,2,5,6,7,8,10,14,15],[1,2,5,6,7,8,11,12,13],[1,2,5,6,7,8,11,12,14],[1,2,5,6,7,8,11,12,15],[1,2,5,6,7,8,11,13,14],[1,2,5,6,7,8,11,13,15],[1,2,5,6,7,8,11,14,15],[1,2,5,6,7,8,12,13,14],[1,2,5,6,7,8,12,13,15],[1,2,5,6,7,8,12,14,15],[1,2,5,6,7,8,13,14,15],[1,2,5,6,7,9,10,11,12],[1,2,5,6,7,9,10,11,13],[1,2,5,6,7,9,10,11,14],[1,2,5,6,7,9,10,11,15],[1,2,5,6,7,9,10,12,13],[1,2,5,6,7,9,10,12,14],[1,2,5,6,7,9,10,12,15],[1,2,5,6,7,9,10,13,14],[1,2,5,6,7,9,10,13,15],[1,2,5,6,7,9,10,14,15],[1,2,5,6,7,9,11,12,13],[1,2,5,6,7,9,11,12,14],[1,2,5,6,7,9,11,12,15],[1,2,5,6,7,9,11,13,14],[1,2,5,6,7,9,11,13,15],[1,2,5,6,7,9,11,14,15],[1,2,5,6,7,9,12,13,14],[1,2,5,6,7,9,12,13,15],[1,2,5,6,7,9,12,14,15],[1,2,5,6,7,9,13,14,15],[1,2,5,6,7,10,11,12,13],[1,2,5,6,7,10,11,12,14],[1,2,5,6,7,10,11,12,15],[1,2,5,6,7,10,11,13,14],[1,2,5,6,7,10,11,13,15],[1,2,5,6,7,10,11,14,15],[1,2,5,6,7,10,12,13,14],[1,2,5,6,7,10,12,13,15],[1,2,5,6,7,10,12,14,15],[1,2,5,6,7,10,13,14,15],[1,2,5,6,7,11,12,13,14],[1,2,5,6,7,11,12,13,15],[1,2,5,6,7,11,12,14,15],[1,2,5,6,7,11,13,14,15],[1,2,5,6,7,12,13,14,15],[1,2,5,6,8,9,10,11,12],[1,2,5,6,8,9,10,11,13],[1,2,5,6,8,9,10,11,14],[1,2,5,6,8,9,10,11,15],[1,2,5,6,8,9,10,12,13],[1,2,5,6,8,9,10,12,14],[1,2,5,6,8,9,10,12,15],[1,2,5,6,8,9,10,13,14],[1,2,5,6,8,9,10,13,15],[1,2,5,6,8,9,10,14,15],[1,2,5,6,8,9,11,12,13],[1,2,5,6,8,9,11,12,14],[1,2,5,6,8,9,11,12,15],[1,2,5,6,8,9,11,13,14],[1,2,5,6,8,9,11,13,15],[1,2,5,6,8,9,11,14,15],[1,2,5,6,8,9,12,13,14],[1,2,5,6,8,9,12,13,15],[1,2,5,6,8,9,12,14,15],[1,2,5,6,8,9,13,14,15],[1,2,5,6,8,10,11,12,13],[1,2,5,6,8,10,11,12,14],[1,2,5,6,8,10,11,12,15],[1,2,5,6,8,10,11,13,14],[1,2,5,6,8,10,11,13,15],[1,2,5,6,8,10,11,14,15],[1,2,5,6,8,10,12,13,14],[1,2,5,6,8,10,12,13,15],[1,2,5,6,8,10,12,14,15],[1,2,5,6,8,10,13,14,15],[1,2,5,6,8,11,12,13,14],[1,2,5,6,8,11,12,13,15],[1,2,5,6,8,11,12,14,15],[1,2,5,6,8,11,13,14,15],[1,2,5,6,8,12,13,14,15],[1,2,5,6,9,10,11,12,13],[1,2,5,6,9,10,11,12,14],[1,2,5,6,9,10,11,12,15],[1,2,5,6,9,10,11,13,14],[1,2,5,6,9,10,11,13,15],[1,2,5,6,9,10,11,14,15],[1,2,5,6,9,10,12,13,14],[1,2,5,6,9,10,12,13,15],[1,2,5,6,9,10,12,14,15],[1,2,5,6,9,10,13,14,15],[1,2,5,6,9,11,12,13,14],[1,2,5,6,9,11,12,13,15],[1,2,5,6,9,11,12,14,15],[1,2,5,6,9,11,13,14,15],[1,2,5,6,9,12,13,14,15],[1,2,5,6,10,11,12,13,14],[1,2,5,6,10,11,12,13,15],[1,2,5,6,10,11,12,14,15],[1,2,5,6,10,11,13,14,15],[1,2,5,6,10,12,13,14,15],[1,2,5,6,11,12,13,14,15],[1,2,5,7,8,9,10,11,12],[1,2,5,7,8,9,10,11,13],[1,2,5,7,8,9,10,11,14],[1,2,5,7,8,9,10,11,15],[1,2,5,7,8,9,10,12,13],[1,2,5,7,8,9,10,12,14],[1,2,5,7,8,9,10,12,15],[1,2,5,7,8,9,10,13,14],[1,2,5,7,8,9,10,13,15],[1,2,5,7,8,9,10,14,15],[1,2,5,7,8,9,11,12,13],[1,2,5,7,8,9,11,12,14],[1,2,5,7,8,9,11,12,15],[1,2,5,7,8,9,11,13,14],[1,2,5,7,8,9,11,13,15],[1,2,5,7,8,9,11,14,15],[1,2,5,7,8,9,12,13,14],[1,2,5,7,8,9,12,13,15],[1,2,5,7,8,9,12,14,15],[1,2,5,7,8,9,13,14,15],[1,2,5,7,8,10,11,12,13],[1,2,5,7,8,10,11,12,14],[1,2,5,7,8,10,11,12,15],[1,2,5,7,8,10,11,13,14],[1,2,5,7,8,10,11,13,15],[1,2,5,7,8,10,11,14,15],[1,2,5,7,8,10,12,13,14],[1,2,5,7,8,10,12,13,15],[1,2,5,7,8,10,12,14,15],[1,2,5,7,8,10,13,14,15],[1,2,5,7,8,11,12,13,14],[1,2,5,7,8,11,12,13,15],[1,2,5,7,8,11,12,14,15],[1,2,5,7,8,11,13,14,15],[1,2,5,7,8,12,13,14,15],[1,2,5,7,9,10,11,12,13],[1,2,5,7,9,10,11,12,14],[1,2,5,7,9,10,11,12,15],[1,2,5,7,9,10,11,13,14],[1,2,5,7,9,10,11,13,15],[1,2,5,7,9,10,11,14,15],[1,2,5,7,9,10,12,13,14],[1,2,5,7,9,10,12,13,15],[1,2,5,7,9,10,12,14,15],[1,2,5,7,9,10,13,14,15],[1,2,5,7,9,11,12,13,14],[1,2,5,7,9,11,12,13,15],[1,2,5,7,9,11,12,14,15],[1,2,5,7,9,11,13,14,15],[1,2,5,7,9,12,13,14,15],[1,2,5,7,10,11,12,13,14],[1,2,5,7,10,11,12,13,15],[1,2,5,7,10,11,12,14,15],[1,2,5,7,10,11,13,14,15],[1,2,5,7,10,12,13,14,15],[1,2,5,7,11,12,13,14,15],[1,2,5,8,9,10,11,12,13],[1,2,5,8,9,10,11,12,14],[1,2,5,8,9,10,11,12,15],[1,2,5,8,9,10,11,13,14],[1,2,5,8,9,10,11,13,15],[1,2,5,8,9,10,11,14,15],[1,2,5,8,9,10,12,13,14],[1,2,5,8,9,10,12,13,15],[1,2,5,8,9,10,12,14,15],[1,2,5,8,9,10,13,14,15],[1,2,5,8,9,11,12,13,14],[1,2,5,8,9,11,12,13,15],[1,2,5,8,9,11,12,14,15],[1,2,5,8,9,11,13,14,15],[1,2,5,8,9,12,13,14,15],[1,2,5,8,10,11,12,13,14],[1,2,5,8,10,11,12,13,15],[1,2,5,8,10,11,12,14,15],[1,2,5,8,10,11,13,14,15],[1,2,5,8,10,12,13,14,15],[1,2,5,8,11,12,13,14,15],[1,2,5,9,10,11,12,13,14],[1,2,5,9,10,11,12,13,15],[1,2,5,9,10,11,12,14,15],[1,2,5,9,10,11,13,14,15],[1,2,5,9,10,12,13,14,15],[1,2,5,9,11,12,13,14,15],[1,2,5,10,11,12,13,14,15],[1,2,6,7,8,9,10,11,12],[1,2,6,7,8,9,10,11,13],[1,2,6,7,8,9,10,11,14],[1,2,6,7,8,9,10,11,15],[1,2,6,7,8,9,10,12,13],[1,2,6,7,8,9,10,12,14],[1,2,6,7,8,9,10,12,15],[1,2,6,7,8,9,10,13,14],[1,2,6,7,8,9,10,13,15],[1,2,6,7,8,9,10,14,15],[1,2,6,7,8,9,11,12,13],[1,2,6,7,8,9,11,12,14],[1,2,6,7,8,9,11,12,15],[1,2,6,7,8,9,11,13,14],[1,2,6,7,8,9,11,13,15],[1,2,6,7,8,9,11,14,15],[1,2,6,7,8,9,12,13,14],[1,2,6,7,8,9,12,13,15],[1,2,6,7,8,9,12,14,15],[1,2,6,7,8,9,13,14,15],[1,2,6,7,8,10,11,12,13],[1,2,6,7,8,10,11,12,14],[1,2,6,7,8,10,11,12,15],[1,2,6,7,8,10,11,13,14],[1,2,6,7,8,10,11,13,15],[1,2,6,7,8,10,11,14,15],[1,2,6,7,8,10,12,13,14],[1,2,6,7,8,10,12,13,15],[1,2,6,7,8,10,12,14,15],[1,2,6,7,8,10,13,14,15],[1,2,6,7,8,11,12,13,14],[1,2,6,7,8,11,12,13,15],[1,2,6,7,8,11,12,14,15],[1,2,6,7,8,11,13,14,15],[1,2,6,7,8,12,13,14,15],[1,2,6,7,9,10,11,12,13],[1,2,6,7,9,10,11,12,14],[1,2,6,7,9,10,11,12,15],[1,2,6,7,9,10,11,13,14],[1,2,6,7,9,10,11,13,15],[1,2,6,7,9,10,11,14,15],[1,2,6,7,9,10,12,13,14],[1,2,6,7,9,10,12,13,15],[1,2,6,7,9,10,12,14,15],[1,2,6,7,9,10,13,14,15],[1,2,6,7,9,11,12,13,14],[1,2,6,7,9,11,12,13,15],[1,2,6,7,9,11,12,14,15],[1,2,6,7,9,11,13,14,15],[1,2,6,7,9,12,13,14,15],[1,2,6,7,10,11,12,13,14],[1,2,6,7,10,11,12,13,15],[1,2,6,7,10,11,12,14,15],[1,2,6,7,10,11,13,14,15],[1,2,6,7,10,12,13,14,15],[1,2,6,7,11,12,13,14,15],[1,2,6,8,9,10,11,12,13],[1,2,6,8,9,10,11,12,14],[1,2,6,8,9,10,11,12,15],[1,2,6,8,9,10,11,13,14],[1,2,6,8,9,10,11,13,15],[1,2,6,8,9,10,11,14,15],[1,2,6,8,9,10,12,13,14],[1,2,6,8,9,10,12,13,15],[1,2,6,8,9,10,12,14,15],[1,2,6,8,9,10,13,14,15],[1,2,6,8,9,11,12,13,14],[1,2,6,8,9,11,12,13,15],[1,2,6,8,9,11,12,14,15],[1,2,6,8,9,11,13,14,15],[1,2,6,8,9,12,13,14,15],[1,2,6,8,10,11,12,13,14],[1,2,6,8,10,11,12,13,15],[1,2,6,8,10,11,12,14,15],[1,2,6,8,10,11,13,14,15],[1,2,6,8,10,12,13,14,15],[1,2,6,8,11,12,13,14,15],[1,2,6,9,10,11,12,13,14],[1,2,6,9,10,11,12,13,15],[1,2,6,9,10,11,12,14,15],[1,2,6,9,10,11,13,14,15],[1,2,6,9,10,12,13,14,15],[1,2,6,9,11,12,13,14,15],[1,2,6,10,11,12,13,14,15],[1,2,7,8,9,10,11,12,13],[1,2,7,8,9,10,11,12,14],[1,2,7,8,9,10,11,12,15],[1,2,7,8,9,10,11,13,14],[1,2,7,8,9,10,11,13,15],[1,2,7,8,9,10,11,14,15],[1,2,7,8,9,10,12,13,14],[1,2,7,8,9,10,12,13,15],[1,2,7,8,9,10,12,14,15],[1,2,7,8,9,10,13,14,15],[1,2,7,8,9,11,12,13,14],[1,2,7,8,9,11,12,13,15],[1,2,7,8,9,11,12,14,15],[1,2,7,8,9,11,13,14,15],[1,2,7,8,9,12,13,14,15],[1,2,7,8,10,11,12,13,14],[1,2,7,8,10,11,12,13,15],[1,2,7,8,10,11,12,14,15],[1,2,7,8,10,11,13,14,15],[1,2,7,8,10,12,13,14,15],[1,2,7,8,11,12,13,14,15],[1,2,7,9,10,11,12,13,14],[1,2,7,9,10,11,12,13,15],[1,2,7,9,10,11,12,14,15],[1,2,7,9,10,11,13,14,15],[1,2,7,9,10,12,13,14,15],[1,2,7,9,11,12,13,14,15],[1,2,7,10,11,12,13,14,15],[1,2,8,9,10,11,12,13,14],[1,2,8,9,10,11,12,13,15],[1,2,8,9,10,11,12,14,15],[1,2,8,9,10,11,13,14,15],[1,2,8,9,10,12,13,14,15],[1,2,8,9,11,12,13,14,15],[1,2,8,10,11,12,13,14,15],[1,2,9,10,11,12,13,14,15],[1,3,4,5,6,7,8,9,10],[1,3,4,5,6,7,8,9,11],[1,3,4,5,6,7,8,9,12],[1,3,4,5,6,7,8,9,13],[1,3,4,5,6,7,8,9,14],[1,3,4,5,6,7,8,9,15],[1,3,4,5,6,7,8,10,11],[1,3,4,5,6,7,8,10,12],[1,3,4,5,6,7,8,10,13],[1,3,4,5,6,7,8,10,14],[1,3,4,5,6,7,8,10,15],[1,3,4,5,6,7,8,11,12],[1,3,4,5,6,7,8,11,13],[1,3,4,5,6,7,8,11,14],[1,3,4,5,6,7,8,11,15],[1,3,4,5,6,7,8,12,13],[1,3,4,5,6,7,8,12,14],[1,3,4,5,6,7,8,12,15],[1,3,4,5,6,7,8,13,14],[1,3,4,5,6,7,8,13,15],[1,3,4,5,6,7,8,14,15],[1,3,4,5,6,7,9,10,11],[1,3,4,5,6,7,9,10,12],[1,3,4,5,6,7,9,10,13],[1,3,4,5,6,7,9,10,14],[1,3,4,5,6,7,9,10,15],[1,3,4,5,6,7,9,11,12],[1,3,4,5,6,7,9,11,13],[1,3,4,5,6,7,9,11,14],[1,3,4,5,6,7,9,11,15],[1,3,4,5,6,7,9,12,13],[1,3,4,5,6,7,9,12,14],[1,3,4,5,6,7,9,12,15],[1,3,4,5,6,7,9,13,14],[1,3,4,5,6,7,9,13,15],[1,3,4,5,6,7,9,14,15],[1,3,4,5,6,7,10,11,12],[1,3,4,5,6,7,10,11,13],[1,3,4,5,6,7,10,11,14],[1,3,4,5,6,7,10,11,15],[1,3,4,5,6,7,10,12,13],[1,3,4,5,6,7,10,12,14],[1,3,4,5,6,7,10,12,15],[1,3,4,5,6,7,10,13,14],[1,3,4,5,6,7,10,13,15],[1,3,4,5,6,7,10,14,15],[1,3,4,5,6,7,11,12,13],[1,3,4,5,6,7,11,12,14],[1,3,4,5,6,7,11,12,15],[1,3,4,5,6,7,11,13,14],[1,3,4,5,6,7,11,13,15],[1,3,4,5,6,7,11,14,15],[1,3,4,5,6,7,12,13,14],[1,3,4,5,6,7,12,13,15],[1,3,4,5,6,7,12,14,15],[1,3,4,5,6,7,13,14,15],[1,3,4,5,6,8,9,10,11],[1,3,4,5,6,8,9,10,12],[1,3,4,5,6,8,9,10,13],[1,3,4,5,6,8,9,10,14],[1,3,4,5,6,8,9,10,15],[1,3,4,5,6,8,9,11,12],[1,3,4,5,6,8,9,11,13],[1,3,4,5,6,8,9,11,14],[1,3,4,5,6,8,9,11,15],[1,3,4,5,6,8,9,12,13],[1,3,4,5,6,8,9,12,14],[1,3,4,5,6,8,9,12,15],[1,3,4,5,6,8,9,13,14],[1,3,4,5,6,8,9,13,15],[1,3,4,5,6,8,9,14,15],[1,3,4,5,6,8,10,11,12],[1,3,4,5,6,8,10,11,13],[1,3,4,5,6,8,10,11,14],[1,3,4,5,6,8,10,11,15],[1,3,4,5,6,8,10,12,13],[1,3,4,5,6,8,10,12,14],[1,3,4,5,6,8,10,12,15],[1,3,4,5,6,8,10,13,14],[1,3,4,5,6,8,10,13,15],[1,3,4,5,6,8,10,14,15],[1,3,4,5,6,8,11,12,13],[1,3,4,5,6,8,11,12,14],[1,3,4,5,6,8,11,12,15],[1,3,4,5,6,8,11,13,14],[1,3,4,5,6,8,11,13,15],[1,3,4,5,6,8,11,14,15],[1,3,4,5,6,8,12,13,14],[1,3,4,5,6,8,12,13,15],[1,3,4,5,6,8,12,14,15],[1,3,4,5,6,8,13,14,15],[1,3,4,5,6,9,10,11,12],[1,3,4,5,6,9,10,11,13],[1,3,4,5,6,9,10,11,14],[1,3,4,5,6,9,10,11,15],[1,3,4,5,6,9,10,12,13],[1,3,4,5,6,9,10,12,14],[1,3,4,5,6,9,10,12,15],[1,3,4,5,6,9,10,13,14],[1,3,4,5,6,9,10,13,15],[1,3,4,5,6,9,10,14,15],[1,3,4,5,6,9,11,12,13],[1,3,4,5,6,9,11,12,14],[1,3,4,5,6,9,11,12,15],[1,3,4,5,6,9,11,13,14],[1,3,4,5,6,9,11,13,15],[1,3,4,5,6,9,11,14,15],[1,3,4,5,6,9,12,13,14],[1,3,4,5,6,9,12,13,15],[1,3,4,5,6,9,12,14,15],[1,3,4,5,6,9,13,14,15],[1,3,4,5,6,10,11,12,13],[1,3,4,5,6,10,11,12,14],[1,3,4,5,6,10,11,12,15],[1,3,4,5,6,10,11,13,14],[1,3,4,5,6,10,11,13,15],[1,3,4,5,6,10,11,14,15],[1,3,4,5,6,10,12,13,14],[1,3,4,5,6,10,12,13,15],[1,3,4,5,6,10,12,14,15],[1,3,4,5,6,10,13,14,15],[1,3,4,5,6,11,12,13,14],[1,3,4,5,6,11,12,13,15],[1,3,4,5,6,11,12,14,15],[1,3,4,5,6,11,13,14,15],[1,3,4,5,6,12,13,14,15],[1,3,4,5,7,8,9,10,11],[1,3,4,5,7,8,9,10,12],[1,3,4,5,7,8,9,10,13],[1,3,4,5,7,8,9,10,14],[1,3,4,5,7,8,9,10,15],[1,3,4,5,7,8,9,11,12],[1,3,4,5,7,8,9,11,13],[1,3,4,5,7,8,9,11,14],[1,3,4,5,7,8,9,11,15],[1,3,4,5,7,8,9,12,13],[1,3,4,5,7,8,9,12,14],[1,3,4,5,7,8,9,12,15],[1,3,4,5,7,8,9,13,14],[1,3,4,5,7,8,9,13,15],[1,3,4,5,7,8,9,14,15],[1,3,4,5,7,8,10,11,12],[1,3,4,5,7,8,10,11,13],[1,3,4,5,7,8,10,11,14],[1,3,4,5,7,8,10,11,15],[1,3,4,5,7,8,10,12,13],[1,3,4,5,7,8,10,12,14],[1,3,4,5,7,8,10,12,15],[1,3,4,5,7,8,10,13,14],[1,3,4,5,7,8,10,13,15],[1,3,4,5,7,8,10,14,15],[1,3,4,5,7,8,11,12,13],[1,3,4,5,7,8,11,12,14],[1,3,4,5,7,8,11,12,15],[1,3,4,5,7,8,11,13,14],[1,3,4,5,7,8,11,13,15],[1,3,4,5,7,8,11,14,15],[1,3,4,5,7,8,12,13,14],[1,3,4,5,7,8,12,13,15],[1,3,4,5,7,8,12,14,15],[1,3,4,5,7,8,13,14,15],[1,3,4,5,7,9,10,11,12],[1,3,4,5,7,9,10,11,13],[1,3,4,5,7,9,10,11,14],[1,3,4,5,7,9,10,11,15],[1,3,4,5,7,9,10,12,13],[1,3,4,5,7,9,10,12,14],[1,3,4,5,7,9,10,12,15],[1,3,4,5,7,9,10,13,14],[1,3,4,5,7,9,10,13,15],[1,3,4,5,7,9,10,14,15],[1,3,4,5,7,9,11,12,13],[1,3,4,5,7,9,11,12,14],[1,3,4,5,7,9,11,12,15],[1,3,4,5,7,9,11,13,14],[1,3,4,5,7,9,11,13,15],[1,3,4,5,7,9,11,14,15],[1,3,4,5,7,9,12,13,14],[1,3,4,5,7,9,12,13,15],[1,3,4,5,7,9,12,14,15],[1,3,4,5,7,9,13,14,15],[1,3,4,5,7,10,11,12,13],[1,3,4,5,7,10,11,12,14],[1,3,4,5,7,10,11,12,15],[1,3,4,5,7,10,11,13,14],[1,3,4,5,7,10,11,13,15],[1,3,4,5,7,10,11,14,15],[1,3,4,5,7,10,12,13,14],[1,3,4,5,7,10,12,13,15],[1,3,4,5,7,10,12,14,15],[1,3,4,5,7,10,13,14,15],[1,3,4,5,7,11,12,13,14],[1,3,4,5,7,11,12,13,15],[1,3,4,5,7,11,12,14,15],[1,3,4,5,7,11,13,14,15],[1,3,4,5,7,12,13,14,15],[1,3,4,5,8,9,10,11,12],[1,3,4,5,8,9,10,11,13],[1,3,4,5,8,9,10,11,14],[1,3,4,5,8,9,10,11,15],[1,3,4,5,8,9,10,12,13],[1,3,4,5,8,9,10,12,14],[1,3,4,5,8,9,10,12,15],[1,3,4,5,8,9,10,13,14],[1,3,4,5,8,9,10,13,15],[1,3,4,5,8,9,10,14,15],[1,3,4,5,8,9,11,12,13],[1,3,4,5,8,9,11,12,14],[1,3,4,5,8,9,11,12,15],[1,3,4,5,8,9,11,13,14],[1,3,4,5,8,9,11,13,15],[1,3,4,5,8,9,11,14,15],[1,3,4,5,8,9,12,13,14],[1,3,4,5,8,9,12,13,15],[1,3,4,5,8,9,12,14,15],[1,3,4,5,8,9,13,14,15],[1,3,4,5,8,10,11,12,13],[1,3,4,5,8,10,11,12,14],[1,3,4,5,8,10,11,12,15],[1,3,4,5,8,10,11,13,14],[1,3,4,5,8,10,11,13,15],[1,3,4,5,8,10,11,14,15],[1,3,4,5,8,10,12,13,14],[1,3,4,5,8,10,12,13,15],[1,3,4,5,8,10,12,14,15],[1,3,4,5,8,10,13,14,15],[1,3,4,5,8,11,12,13,14],[1,3,4,5,8,11,12,13,15],[1,3,4,5,8,11,12,14,15],[1,3,4,5,8,11,13,14,15],[1,3,4,5,8,12,13,14,15],[1,3,4,5,9,10,11,12,13],[1,3,4,5,9,10,11,12,14],[1,3,4,5,9,10,11,12,15],[1,3,4,5,9,10,11,13,14],[1,3,4,5,9,10,11,13,15],[1,3,4,5,9,10,11,14,15],[1,3,4,5,9,10,12,13,14],[1,3,4,5,9,10,12,13,15],[1,3,4,5,9,10,12,14,15],[1,3,4,5,9,10,13,14,15],[1,3,4,5,9,11,12,13,14],[1,3,4,5,9,11,12,13,15],[1,3,4,5,9,11,12,14,15],[1,3,4,5,9,11,13,14,15],[1,3,4,5,9,12,13,14,15],[1,3,4,5,10,11,12,13,14],[1,3,4,5,10,11,12,13,15],[1,3,4,5,10,11,12,14,15],[1,3,4,5,10,11,13,14,15],[1,3,4,5,10,12,13,14,15],[1,3,4,5,11,12,13,14,15],[1,3,4,6,7,8,9,10,11],[1,3,4,6,7,8,9,10,12],[1,3,4,6,7,8,9,10,13],[1,3,4,6,7,8,9,10,14],[1,3,4,6,7,8,9,10,15],[1,3,4,6,7,8,9,11,12],[1,3,4,6,7,8,9,11,13],[1,3,4,6,7,8,9,11,14],[1,3,4,6,7,8,9,11,15],[1,3,4,6,7,8,9,12,13],[1,3,4,6,7,8,9,12,14],[1,3,4,6,7,8,9,12,15],[1,3,4,6,7,8,9,13,14],[1,3,4,6,7,8,9,13,15],[1,3,4,6,7,8,9,14,15],[1,3,4,6,7,8,10,11,12],[1,3,4,6,7,8,10,11,13],[1,3,4,6,7,8,10,11,14],[1,3,4,6,7,8,10,11,15],[1,3,4,6,7,8,10,12,13],[1,3,4,6,7,8,10,12,14],[1,3,4,6,7,8,10,12,15],[1,3,4,6,7,8,10,13,14],[1,3,4,6,7,8,10,13,15],[1,3,4,6,7,8,10,14,15],[1,3,4,6,7,8,11,12,13],[1,3,4,6,7,8,11,12,14],[1,3,4,6,7,8,11,12,15],[1,3,4,6,7,8,11,13,14],[1,3,4,6,7,8,11,13,15],[1,3,4,6,7,8,11,14,15],[1,3,4,6,7,8,12,13,14],[1,3,4,6,7,8,12,13,15],[1,3,4,6,7,8,12,14,15],[1,3,4,6,7,8,13,14,15],[1,3,4,6,7,9,10,11,12],[1,3,4,6,7,9,10,11,13],[1,3,4,6,7,9,10,11,14],[1,3,4,6,7,9,10,11,15],[1,3,4,6,7,9,10,12,13],[1,3,4,6,7,9,10,12,14],[1,3,4,6,7,9,10,12,15],[1,3,4,6,7,9,10,13,14],[1,3,4,6,7,9,10,13,15],[1,3,4,6,7,9,10,14,15],[1,3,4,6,7,9,11,12,13],[1,3,4,6,7,9,11,12,14],[1,3,4,6,7,9,11,12,15],[1,3,4,6,7,9,11,13,14],[1,3,4,6,7,9,11,13,15],[1,3,4,6,7,9,11,14,15],[1,3,4,6,7,9,12,13,14],[1,3,4,6,7,9,12,13,15],[1,3,4,6,7,9,12,14,15],[1,3,4,6,7,9,13,14,15],[1,3,4,6,7,10,11,12,13],[1,3,4,6,7,10,11,12,14],[1,3,4,6,7,10,11,12,15],[1,3,4,6,7,10,11,13,14],[1,3,4,6,7,10,11,13,15],[1,3,4,6,7,10,11,14,15],[1,3,4,6,7,10,12,13,14],[1,3,4,6,7,10,12,13,15],[1,3,4,6,7,10,12,14,15],[1,3,4,6,7,10,13,14,15],[1,3,4,6,7,11,12,13,14],[1,3,4,6,7,11,12,13,15],[1,3,4,6,7,11,12,14,15],[1,3,4,6,7,11,13,14,15],[1,3,4,6,7,12,13,14,15],[1,3,4,6,8,9,10,11,12],[1,3,4,6,8,9,10,11,13],[1,3,4,6,8,9,10,11,14],[1,3,4,6,8,9,10,11,15],[1,3,4,6,8,9,10,12,13],[1,3,4,6,8,9,10,12,14],[1,3,4,6,8,9,10,12,15],[1,3,4,6,8,9,10,13,14],[1,3,4,6,8,9,10,13,15],[1,3,4,6,8,9,10,14,15],[1,3,4,6,8,9,11,12,13],[1,3,4,6,8,9,11,12,14],[1,3,4,6,8,9,11,12,15],[1,3,4,6,8,9,11,13,14],[1,3,4,6,8,9,11,13,15],[1,3,4,6,8,9,11,14,15],[1,3,4,6,8,9,12,13,14],[1,3,4,6,8,9,12,13,15],[1,3,4,6,8,9,12,14,15],[1,3,4,6,8,9,13,14,15],[1,3,4,6,8,10,11,12,13],[1,3,4,6,8,10,11,12,14],[1,3,4,6,8,10,11,12,15],[1,3,4,6,8,10,11,13,14],[1,3,4,6,8,10,11,13,15],[1,3,4,6,8,10,11,14,15],[1,3,4,6,8,10,12,13,14],[1,3,4,6,8,10,12,13,15],[1,3,4,6,8,10,12,14,15],[1,3,4,6,8,10,13,14,15],[1,3,4,6,8,11,12,13,14],[1,3,4,6,8,11,12,13,15],[1,3,4,6,8,11,12,14,15],[1,3,4,6,8,11,13,14,15],[1,3,4,6,8,12,13,14,15],[1,3,4,6,9,10,11,12,13],[1,3,4,6,9,10,11,12,14],[1,3,4,6,9,10,11,12,15],[1,3,4,6,9,10,11,13,14],[1,3,4,6,9,10,11,13,15],[1,3,4,6,9,10,11,14,15],[1,3,4,6,9,10,12,13,14],[1,3,4,6,9,10,12,13,15],[1,3,4,6,9,10,12,14,15],[1,3,4,6,9,10,13,14,15],[1,3,4,6,9,11,12,13,14],[1,3,4,6,9,11,12,13,15],[1,3,4,6,9,11,12,14,15],[1,3,4,6,9,11,13,14,15],[1,3,4,6,9,12,13,14,15],[1,3,4,6,10,11,12,13,14],[1,3,4,6,10,11,12,13,15],[1,3,4,6,10,11,12,14,15],[1,3,4,6,10,11,13,14,15],[1,3,4,6,10,12,13,14,15],[1,3,4,6,11,12,13,14,15],[1,3,4,7,8,9,10,11,12],[1,3,4,7,8,9,10,11,13],[1,3,4,7,8,9,10,11,14],[1,3,4,7,8,9,10,11,15],[1,3,4,7,8,9,10,12,13],[1,3,4,7,8,9,10,12,14],[1,3,4,7,8,9,10,12,15],[1,3,4,7,8,9,10,13,14],[1,3,4,7,8,9,10,13,15],[1,3,4,7,8,9,10,14,15],[1,3,4,7,8,9,11,12,13],[1,3,4,7,8,9,11,12,14],[1,3,4,7,8,9,11,12,15],[1,3,4,7,8,9,11,13,14],[1,3,4,7,8,9,11,13,15],[1,3,4,7,8,9,11,14,15],[1,3,4,7,8,9,12,13,14],[1,3,4,7,8,9,12,13,15],[1,3,4,7,8,9,12,14,15],[1,3,4,7,8,9,13,14,15],[1,3,4,7,8,10,11,12,13],[1,3,4,7,8,10,11,12,14],[1,3,4,7,8,10,11,12,15],[1,3,4,7,8,10,11,13,14],[1,3,4,7,8,10,11,13,15],[1,3,4,7,8,10,11,14,15],[1,3,4,7,8,10,12,13,14],[1,3,4,7,8,10,12,13,15],[1,3,4,7,8,10,12,14,15],[1,3,4,7,8,10,13,14,15],[1,3,4,7,8,11,12,13,14],[1,3,4,7,8,11,12,13,15],[1,3,4,7,8,11,12,14,15],[1,3,4,7,8,11,13,14,15],[1,3,4,7,8,12,13,14,15],[1,3,4,7,9,10,11,12,13],[1,3,4,7,9,10,11,12,14],[1,3,4,7,9,10,11,12,15],[1,3,4,7,9,10,11,13,14],[1,3,4,7,9,10,11,13,15],[1,3,4,7,9,10,11,14,15],[1,3,4,7,9,10,12,13,14],[1,3,4,7,9,10,12,13,15],[1,3,4,7,9,10,12,14,15],[1,3,4,7,9,10,13,14,15],[1,3,4,7,9,11,12,13,14],[1,3,4,7,9,11,12,13,15],[1,3,4,7,9,11,12,14,15],[1,3,4,7,9,11,13,14,15],[1,3,4,7,9,12,13,14,15],[1,3,4,7,10,11,12,13,14],[1,3,4,7,10,11,12,13,15],[1,3,4,7,10,11,12,14,15],[1,3,4,7,10,11,13,14,15],[1,3,4,7,10,12,13,14,15],[1,3,4,7,11,12,13,14,15],[1,3,4,8,9,10,11,12,13],[1,3,4,8,9,10,11,12,14],[1,3,4,8,9,10,11,12,15],[1,3,4,8,9,10,11,13,14],[1,3,4,8,9,10,11,13,15],[1,3,4,8,9,10,11,14,15],[1,3,4,8,9,10,12,13,14],[1,3,4,8,9,10,12,13,15],[1,3,4,8,9,10,12,14,15],[1,3,4,8,9,10,13,14,15],[1,3,4,8,9,11,12,13,14],[1,3,4,8,9,11,12,13,15],[1,3,4,8,9,11,12,14,15],[1,3,4,8,9,11,13,14,15],[1,3,4,8,9,12,13,14,15],[1,3,4,8,10,11,12,13,14],[1,3,4,8,10,11,12,13,15],[1,3,4,8,10,11,12,14,15],[1,3,4,8,10,11,13,14,15],[1,3,4,8,10,12,13,14,15],[1,3,4,8,11,12,13,14,15],[1,3,4,9,10,11,12,13,14],[1,3,4,9,10,11,12,13,15],[1,3,4,9,10,11,12,14,15],[1,3,4,9,10,11,13,14,15],[1,3,4,9,10,12,13,14,15],[1,3,4,9,11,12,13,14,15],[1,3,4,10,11,12,13,14,15],[1,3,5,6,7,8,9,10,11],[1,3,5,6,7,8,9,10,12],[1,3,5,6,7,8,9,10,13],[1,3,5,6,7,8,9,10,14],[1,3,5,6,7,8,9,10,15],[1,3,5,6,7,8,9,11,12],[1,3,5,6,7,8,9,11,13],[1,3,5,6,7,8,9,11,14],[1,3,5,6,7,8,9,11,15],[1,3,5,6,7,8,9,12,13],[1,3,5,6,7,8,9,12,14],[1,3,5,6,7,8,9,12,15],[1,3,5,6,7,8,9,13,14],[1,3,5,6,7,8,9,13,15],[1,3,5,6,7,8,9,14,15],[1,3,5,6,7,8,10,11,12],[1,3,5,6,7,8,10,11,13],[1,3,5,6,7,8,10,11,14],[1,3,5,6,7,8,10,11,15],[1,3,5,6,7,8,10,12,13],[1,3,5,6,7,8,10,12,14],[1,3,5,6,7,8,10,12,15],[1,3,5,6,7,8,10,13,14],[1,3,5,6,7,8,10,13,15],[1,3,5,6,7,8,10,14,15],[1,3,5,6,7,8,11,12,13],[1,3,5,6,7,8,11,12,14],[1,3,5,6,7,8,11,12,15],[1,3,5,6,7,8,11,13,14],[1,3,5,6,7,8,11,13,15],[1,3,5,6,7,8,11,14,15],[1,3,5,6,7,8,12,13,14],[1,3,5,6,7,8,12,13,15],[1,3,5,6,7,8,12,14,15],[1,3,5,6,7,8,13,14,15],[1,3,5,6,7,9,10,11,12],[1,3,5,6,7,9,10,11,13],[1,3,5,6,7,9,10,11,14],[1,3,5,6,7,9,10,11,15],[1,3,5,6,7,9,10,12,13],[1,3,5,6,7,9,10,12,14],[1,3,5,6,7,9,10,12,15],[1,3,5,6,7,9,10,13,14],[1,3,5,6,7,9,10,13,15],[1,3,5,6,7,9,10,14,15],[1,3,5,6,7,9,11,12,13],[1,3,5,6,7,9,11,12,14],[1,3,5,6,7,9,11,12,15],[1,3,5,6,7,9,11,13,14],[1,3,5,6,7,9,11,13,15],[1,3,5,6,7,9,11,14,15],[1,3,5,6,7,9,12,13,14],[1,3,5,6,7,9,12,13,15],[1,3,5,6,7,9,12,14,15],[1,3,5,6,7,9,13,14,15],[1,3,5,6,7,10,11,12,13],[1,3,5,6,7,10,11,12,14],[1,3,5,6,7,10,11,12,15],[1,3,5,6,7,10,11,13,14],[1,3,5,6,7,10,11,13,15],[1,3,5,6,7,10,11,14,15],[1,3,5,6,7,10,12,13,14],[1,3,5,6,7,10,12,13,15],[1,3,5,6,7,10,12,14,15],[1,3,5,6,7,10,13,14,15],[1,3,5,6,7,11,12,13,14],[1,3,5,6,7,11,12,13,15],[1,3,5,6,7,11,12,14,15],[1,3,5,6,7,11,13,14,15],[1,3,5,6,7,12,13,14,15],[1,3,5,6,8,9,10,11,12],[1,3,5,6,8,9,10,11,13],[1,3,5,6,8,9,10,11,14],[1,3,5,6,8,9,10,11,15],[1,3,5,6,8,9,10,12,13],[1,3,5,6,8,9,10,12,14],[1,3,5,6,8,9,10,12,15],[1,3,5,6,8,9,10,13,14],[1,3,5,6,8,9,10,13,15],[1,3,5,6,8,9,10,14,15],[1,3,5,6,8,9,11,12,13],[1,3,5,6,8,9,11,12,14],[1,3,5,6,8,9,11,12,15],[1,3,5,6,8,9,11,13,14],[1,3,5,6,8,9,11,13,15],[1,3,5,6,8,9,11,14,15],[1,3,5,6,8,9,12,13,14],[1,3,5,6,8,9,12,13,15],[1,3,5,6,8,9,12,14,15],[1,3,5,6,8,9,13,14,15],[1,3,5,6,8,10,11,12,13],[1,3,5,6,8,10,11,12,14],[1,3,5,6,8,10,11,12,15],[1,3,5,6,8,10,11,13,14],[1,3,5,6,8,10,11,13,15],[1,3,5,6,8,10,11,14,15],[1,3,5,6,8,10,12,13,14],[1,3,5,6,8,10,12,13,15],[1,3,5,6,8,10,12,14,15],[1,3,5,6,8,10,13,14,15],[1,3,5,6,8,11,12,13,14],[1,3,5,6,8,11,12,13,15],[1,3,5,6,8,11,12,14,15],[1,3,5,6,8,11,13,14,15],[1,3,5,6,8,12,13,14,15],[1,3,5,6,9,10,11,12,13],[1,3,5,6,9,10,11,12,14],[1,3,5,6,9,10,11,12,15],[1,3,5,6,9,10,11,13,14],[1,3,5,6,9,10,11,13,15],[1,3,5,6,9,10,11,14,15],[1,3,5,6,9,10,12,13,14],[1,3,5,6,9,10,12,13,15],[1,3,5,6,9,10,12,14,15],[1,3,5,6,9,10,13,14,15],[1,3,5,6,9,11,12,13,14],[1,3,5,6,9,11,12,13,15],[1,3,5,6,9,11,12,14,15],[1,3,5,6,9,11,13,14,15],[1,3,5,6,9,12,13,14,15],[1,3,5,6,10,11,12,13,14],[1,3,5,6,10,11,12,13,15],[1,3,5,6,10,11,12,14,15],[1,3,5,6,10,11,13,14,15],[1,3,5,6,10,12,13,14,15],[1,3,5,6,11,12,13,14,15],[1,3,5,7,8,9,10,11,12],[1,3,5,7,8,9,10,11,13],[1,3,5,7,8,9,10,11,14],[1,3,5,7,8,9,10,11,15],[1,3,5,7,8,9,10,12,13],[1,3,5,7,8,9,10,12,14],[1,3,5,7,8,9,10,12,15],[1,3,5,7,8,9,10,13,14],[1,3,5,7,8,9,10,13,15],[1,3,5,7,8,9,10,14,15],[1,3,5,7,8,9,11,12,13],[1,3,5,7,8,9,11,12,14],[1,3,5,7,8,9,11,12,15],[1,3,5,7,8,9,11,13,14],[1,3,5,7,8,9,11,13,15],[1,3,5,7,8,9,11,14,15],[1,3,5,7,8,9,12,13,14],[1,3,5,7,8,9,12,13,15],[1,3,5,7,8,9,12,14,15],[1,3,5,7,8,9,13,14,15],[1,3,5,7,8,10,11,12,13],[1,3,5,7,8,10,11,12,14],[1,3,5,7,8,10,11,12,15],[1,3,5,7,8,10,11,13,14],[1,3,5,7,8,10,11,13,15],[1,3,5,7,8,10,11,14,15],[1,3,5,7,8,10,12,13,14],[1,3,5,7,8,10,12,13,15],[1,3,5,7,8,10,12,14,15],[1,3,5,7,8,10,13,14,15],[1,3,5,7,8,11,12,13,14],[1,3,5,7,8,11,12,13,15],[1,3,5,7,8,11,12,14,15],[1,3,5,7,8,11,13,14,15],[1,3,5,7,8,12,13,14,15],[1,3,5,7,9,10,11,12,13],[1,3,5,7,9,10,11,12,14],[1,3,5,7,9,10,11,12,15],[1,3,5,7,9,10,11,13,14],[1,3,5,7,9,10,11,13,15],[1,3,5,7,9,10,11,14,15],[1,3,5,7,9,10,12,13,14],[1,3,5,7,9,10,12,13,15],[1,3,5,7,9,10,12,14,15],[1,3,5,7,9,10,13,14,15],[1,3,5,7,9,11,12,13,14],[1,3,5,7,9,11,12,13,15],[1,3,5,7,9,11,12,14,15],[1,3,5,7,9,11,13,14,15],[1,3,5,7,9,12,13,14,15],[1,3,5,7,10,11,12,13,14],[1,3,5,7,10,11,12,13,15],[1,3,5,7,10,11,12,14,15],[1,3,5,7,10,11,13,14,15],[1,3,5,7,10,12,13,14,15],[1,3,5,7,11,12,13,14,15],[1,3,5,8,9,10,11,12,13],[1,3,5,8,9,10,11,12,14],[1,3,5,8,9,10,11,12,15],[1,3,5,8,9,10,11,13,14],[1,3,5,8,9,10,11,13,15],[1,3,5,8,9,10,11,14,15],[1,3,5,8,9,10,12,13,14],[1,3,5,8,9,10,12,13,15],[1,3,5,8,9,10,12,14,15],[1,3,5,8,9,10,13,14,15],[1,3,5,8,9,11,12,13,14],[1,3,5,8,9,11,12,13,15],[1,3,5,8,9,11,12,14,15],[1,3,5,8,9,11,13,14,15],[1,3,5,8,9,12,13,14,15],[1,3,5,8,10,11,12,13,14],[1,3,5,8,10,11,12,13,15],[1,3,5,8,10,11,12,14,15],[1,3,5,8,10,11,13,14,15],[1,3,5,8,10,12,13,14,15],[1,3,5,8,11,12,13,14,15],[1,3,5,9,10,11,12,13,14],[1,3,5,9,10,11,12,13,15],[1,3,5,9,10,11,12,14,15],[1,3,5,9,10,11,13,14,15],[1,3,5,9,10,12,13,14,15],[1,3,5,9,11,12,13,14,15],[1,3,5,10,11,12,13,14,15],[1,3,6,7,8,9,10,11,12],[1,3,6,7,8,9,10,11,13],[1,3,6,7,8,9,10,11,14],[1,3,6,7,8,9,10,11,15],[1,3,6,7,8,9,10,12,13],[1,3,6,7,8,9,10,12,14],[1,3,6,7,8,9,10,12,15],[1,3,6,7,8,9,10,13,14],[1,3,6,7,8,9,10,13,15],[1,3,6,7,8,9,10,14,15],[1,3,6,7,8,9,11,12,13],[1,3,6,7,8,9,11,12,14],[1,3,6,7,8,9,11,12,15],[1,3,6,7,8,9,11,13,14],[1,3,6,7,8,9,11,13,15],[1,3,6,7,8,9,11,14,15],[1,3,6,7,8,9,12,13,14],[1,3,6,7,8,9,12,13,15],[1,3,6,7,8,9,12,14,15],[1,3,6,7,8,9,13,14,15],[1,3,6,7,8,10,11,12,13],[1,3,6,7,8,10,11,12,14],[1,3,6,7,8,10,11,12,15],[1,3,6,7,8,10,11,13,14],[1,3,6,7,8,10,11,13,15],[1,3,6,7,8,10,11,14,15],[1,3,6,7,8,10,12,13,14],[1,3,6,7,8,10,12,13,15],[1,3,6,7,8,10,12,14,15],[1,3,6,7,8,10,13,14,15],[1,3,6,7,8,11,12,13,14],[1,3,6,7,8,11,12,13,15],[1,3,6,7,8,11,12,14,15],[1,3,6,7,8,11,13,14,15],[1,3,6,7,8,12,13,14,15],[1,3,6,7,9,10,11,12,13],[1,3,6,7,9,10,11,12,14],[1,3,6,7,9,10,11,12,15],[1,3,6,7,9,10,11,13,14],[1,3,6,7,9,10,11,13,15],[1,3,6,7,9,10,11,14,15],[1,3,6,7,9,10,12,13,14],[1,3,6,7,9,10,12,13,15],[1,3,6,7,9,10,12,14,15],[1,3,6,7,9,10,13,14,15],[1,3,6,7,9,11,12,13,14],[1,3,6,7,9,11,12,13,15],[1,3,6,7,9,11,12,14,15],[1,3,6,7,9,11,13,14,15],[1,3,6,7,9,12,13,14,15],[1,3,6,7,10,11,12,13,14],[1,3,6,7,10,11,12,13,15],[1,3,6,7,10,11,12,14,15],[1,3,6,7,10,11,13,14,15],[1,3,6,7,10,12,13,14,15],[1,3,6,7,11,12,13,14,15],[1,3,6,8,9,10,11,12,13],[1,3,6,8,9,10,11,12,14],[1,3,6,8,9,10,11,12,15],[1,3,6,8,9,10,11,13,14],[1,3,6,8,9,10,11,13,15],[1,3,6,8,9,10,11,14,15],[1,3,6,8,9,10,12,13,14],[1,3,6,8,9,10,12,13,15],[1,3,6,8,9,10,12,14,15],[1,3,6,8,9,10,13,14,15],[1,3,6,8,9,11,12,13,14],[1,3,6,8,9,11,12,13,15],[1,3,6,8,9,11,12,14,15],[1,3,6,8,9,11,13,14,15],[1,3,6,8,9,12,13,14,15],[1,3,6,8,10,11,12,13,14],[1,3,6,8,10,11,12,13,15],[1,3,6,8,10,11,12,14,15],[1,3,6,8,10,11,13,14,15],[1,3,6,8,10,12,13,14,15],[1,3,6,8,11,12,13,14,15],[1,3,6,9,10,11,12,13,14],[1,3,6,9,10,11,12,13,15],[1,3,6,9,10,11,12,14,15],[1,3,6,9,10,11,13,14,15],[1,3,6,9,10,12,13,14,15],[1,3,6,9,11,12,13,14,15],[1,3,6,10,11,12,13,14,15],[1,3,7,8,9,10,11,12,13],[1,3,7,8,9,10,11,12,14],[1,3,7,8,9,10,11,12,15],[1,3,7,8,9,10,11,13,14],[1,3,7,8,9,10,11,13,15],[1,3,7,8,9,10,11,14,15],[1,3,7,8,9,10,12,13,14],[1,3,7,8,9,10,12,13,15],[1,3,7,8,9,10,12,14,15],[1,3,7,8,9,10,13,14,15],[1,3,7,8,9,11,12,13,14],[1,3,7,8,9,11,12,13,15],[1,3,7,8,9,11,12,14,15],[1,3,7,8,9,11,13,14,15],[1,3,7,8,9,12,13,14,15],[1,3,7,8,10,11,12,13,14],[1,3,7,8,10,11,12,13,15],[1,3,7,8,10,11,12,14,15],[1,3,7,8,10,11,13,14,15],[1,3,7,8,10,12,13,14,15],[1,3,7,8,11,12,13,14,15],[1,3,7,9,10,11,12,13,14],[1,3,7,9,10,11,12,13,15],[1,3,7,9,10,11,12,14,15],[1,3,7,9,10,11,13,14,15],[1,3,7,9,10,12,13,14,15],[1,3,7,9,11,12,13,14,15],[1,3,7,10,11,12,13,14,15],[1,3,8,9,10,11,12,13,14],[1,3,8,9,10,11,12,13,15],[1,3,8,9,10,11,12,14,15],[1,3,8,9,10,11,13,14,15],[1,3,8,9,10,12,13,14,15],[1,3,8,9,11,12,13,14,15],[1,3,8,10,11,12,13,14,15],[1,3,9,10,11,12,13,14,15],[1,4,5,6,7,8,9,10,11],[1,4,5,6,7,8,9,10,12],[1,4,5,6,7,8,9,10,13],[1,4,5,6,7,8,9,10,14],[1,4,5,6,7,8,9,10,15],[1,4,5,6,7,8,9,11,12],[1,4,5,6,7,8,9,11,13],[1,4,5,6,7,8,9,11,14],[1,4,5,6,7,8,9,11,15],[1,4,5,6,7,8,9,12,13],[1,4,5,6,7,8,9,12,14],[1,4,5,6,7,8,9,12,15],[1,4,5,6,7,8,9,13,14],[1,4,5,6,7,8,9,13,15],[1,4,5,6,7,8,9,14,15],[1,4,5,6,7,8,10,11,12],[1,4,5,6,7,8,10,11,13],[1,4,5,6,7,8,10,11,14],[1,4,5,6,7,8,10,11,15],[1,4,5,6,7,8,10,12,13],[1,4,5,6,7,8,10,12,14],[1,4,5,6,7,8,10,12,15],[1,4,5,6,7,8,10,13,14],[1,4,5,6,7,8,10,13,15],[1,4,5,6,7,8,10,14,15],[1,4,5,6,7,8,11,12,13],[1,4,5,6,7,8,11,12,14],[1,4,5,6,7,8,11,12,15],[1,4,5,6,7,8,11,13,14],[1,4,5,6,7,8,11,13,15],[1,4,5,6,7,8,11,14,15],[1,4,5,6,7,8,12,13,14],[1,4,5,6,7,8,12,13,15],[1,4,5,6,7,8,12,14,15],[1,4,5,6,7,8,13,14,15],[1,4,5,6,7,9,10,11,12],[1,4,5,6,7,9,10,11,13],[1,4,5,6,7,9,10,11,14],[1,4,5,6,7,9,10,11,15],[1,4,5,6,7,9,10,12,13],[1,4,5,6,7,9,10,12,14],[1,4,5,6,7,9,10,12,15],[1,4,5,6,7,9,10,13,14],[1,4,5,6,7,9,10,13,15],[1,4,5,6,7,9,10,14,15],[1,4,5,6,7,9,11,12,13],[1,4,5,6,7,9,11,12,14],[1,4,5,6,7,9,11,12,15],[1,4,5,6,7,9,11,13,14],[1,4,5,6,7,9,11,13,15],[1,4,5,6,7,9,11,14,15],[1,4,5,6,7,9,12,13,14],[1,4,5,6,7,9,12,13,15],[1,4,5,6,7,9,12,14,15],[1,4,5,6,7,9,13,14,15],[1,4,5,6,7,10,11,12,13],[1,4,5,6,7,10,11,12,14],[1,4,5,6,7,10,11,12,15],[1,4,5,6,7,10,11,13,14],[1,4,5,6,7,10,11,13,15],[1,4,5,6,7,10,11,14,15],[1,4,5,6,7,10,12,13,14],[1,4,5,6,7,10,12,13,15],[1,4,5,6,7,10,12,14,15],[1,4,5,6,7,10,13,14,15],[1,4,5,6,7,11,12,13,14],[1,4,5,6,7,11,12,13,15],[1,4,5,6,7,11,12,14,15],[1,4,5,6,7,11,13,14,15],[1,4,5,6,7,12,13,14,15],[1,4,5,6,8,9,10,11,12],[1,4,5,6,8,9,10,11,13],[1,4,5,6,8,9,10,11,14],[1,4,5,6,8,9,10,11,15],[1,4,5,6,8,9,10,12,13],[1,4,5,6,8,9,10,12,14],[1,4,5,6,8,9,10,12,15],[1,4,5,6,8,9,10,13,14],[1,4,5,6,8,9,10,13,15],[1,4,5,6,8,9,10,14,15],[1,4,5,6,8,9,11,12,13],[1,4,5,6,8,9,11,12,14],[1,4,5,6,8,9,11,12,15],[1,4,5,6,8,9,11,13,14],[1,4,5,6,8,9,11,13,15],[1,4,5,6,8,9,11,14,15],[1,4,5,6,8,9,12,13,14],[1,4,5,6,8,9,12,13,15],[1,4,5,6,8,9,12,14,15],[1,4,5,6,8,9,13,14,15],[1,4,5,6,8,10,11,12,13],[1,4,5,6,8,10,11,12,14],[1,4,5,6,8,10,11,12,15],[1,4,5,6,8,10,11,13,14],[1,4,5,6,8,10,11,13,15],[1,4,5,6,8,10,11,14,15],[1,4,5,6,8,10,12,13,14],[1,4,5,6,8,10,12,13,15],[1,4,5,6,8,10,12,14,15],[1,4,5,6,8,10,13,14,15],[1,4,5,6,8,11,12,13,14],[1,4,5,6,8,11,12,13,15],[1,4,5,6,8,11,12,14,15],[1,4,5,6,8,11,13,14,15],[1,4,5,6,8,12,13,14,15],[1,4,5,6,9,10,11,12,13],[1,4,5,6,9,10,11,12,14],[1,4,5,6,9,10,11,12,15],[1,4,5,6,9,10,11,13,14],[1,4,5,6,9,10,11,13,15],[1,4,5,6,9,10,11,14,15],[1,4,5,6,9,10,12,13,14],[1,4,5,6,9,10,12,13,15],[1,4,5,6,9,10,12,14,15],[1,4,5,6,9,10,13,14,15],[1,4,5,6,9,11,12,13,14],[1,4,5,6,9,11,12,13,15],[1,4,5,6,9,11,12,14,15],[1,4,5,6,9,11,13,14,15],[1,4,5,6,9,12,13,14,15],[1,4,5,6,10,11,12,13,14],[1,4,5,6,10,11,12,13,15],[1,4,5,6,10,11,12,14,15],[1,4,5,6,10,11,13,14,15],[1,4,5,6,10,12,13,14,15],[1,4,5,6,11,12,13,14,15],[1,4,5,7,8,9,10,11,12],[1,4,5,7,8,9,10,11,13],[1,4,5,7,8,9,10,11,14],[1,4,5,7,8,9,10,11,15],[1,4,5,7,8,9,10,12,13],[1,4,5,7,8,9,10,12,14],[1,4,5,7,8,9,10,12,15],[1,4,5,7,8,9,10,13,14],[1,4,5,7,8,9,10,13,15],[1,4,5,7,8,9,10,14,15],[1,4,5,7,8,9,11,12,13],[1,4,5,7,8,9,11,12,14],[1,4,5,7,8,9,11,12,15],[1,4,5,7,8,9,11,13,14],[1,4,5,7,8,9,11,13,15],[1,4,5,7,8,9,11,14,15],[1,4,5,7,8,9,12,13,14],[1,4,5,7,8,9,12,13,15],[1,4,5,7,8,9,12,14,15],[1,4,5,7,8,9,13,14,15],[1,4,5,7,8,10,11,12,13],[1,4,5,7,8,10,11,12,14],[1,4,5,7,8,10,11,12,15],[1,4,5,7,8,10,11,13,14],[1,4,5,7,8,10,11,13,15],[1,4,5,7,8,10,11,14,15],[1,4,5,7,8,10,12,13,14],[1,4,5,7,8,10,12,13,15],[1,4,5,7,8,10,12,14,15],[1,4,5,7,8,10,13,14,15],[1,4,5,7,8,11,12,13,14],[1,4,5,7,8,11,12,13,15],[1,4,5,7,8,11,12,14,15],[1,4,5,7,8,11,13,14,15],[1,4,5,7,8,12,13,14,15],[1,4,5,7,9,10,11,12,13],[1,4,5,7,9,10,11,12,14],[1,4,5,7,9,10,11,12,15],[1,4,5,7,9,10,11,13,14],[1,4,5,7,9,10,11,13,15],[1,4,5,7,9,10,11,14,15],[1,4,5,7,9,10,12,13,14],[1,4,5,7,9,10,12,13,15],[1,4,5,7,9,10,12,14,15],[1,4,5,7,9,10,13,14,15],[1,4,5,7,9,11,12,13,14],[1,4,5,7,9,11,12,13,15],[1,4,5,7,9,11,12,14,15],[1,4,5,7,9,11,13,14,15],[1,4,5,7,9,12,13,14,15],[1,4,5,7,10,11,12,13,14],[1,4,5,7,10,11,12,13,15],[1,4,5,7,10,11,12,14,15],[1,4,5,7,10,11,13,14,15],[1,4,5,7,10,12,13,14,15],[1,4,5,7,11,12,13,14,15],[1,4,5,8,9,10,11,12,13],[1,4,5,8,9,10,11,12,14],[1,4,5,8,9,10,11,12,15],[1,4,5,8,9,10,11,13,14],[1,4,5,8,9,10,11,13,15],[1,4,5,8,9,10,11,14,15],[1,4,5,8,9,10,12,13,14],[1,4,5,8,9,10,12,13,15],[1,4,5,8,9,10,12,14,15],[1,4,5,8,9,10,13,14,15],[1,4,5,8,9,11,12,13,14],[1,4,5,8,9,11,12,13,15],[1,4,5,8,9,11,12,14,15],[1,4,5,8,9,11,13,14,15],[1,4,5,8,9,12,13,14,15],[1,4,5,8,10,11,12,13,14],[1,4,5,8,10,11,12,13,15],[1,4,5,8,10,11,12,14,15],[1,4,5,8,10,11,13,14,15],[1,4,5,8,10,12,13,14,15],[1,4,5,8,11,12,13,14,15],[1,4,5,9,10,11,12,13,14],[1,4,5,9,10,11,12,13,15],[1,4,5,9,10,11,12,14,15],[1,4,5,9,10,11,13,14,15],[1,4,5,9,10,12,13,14,15],[1,4,5,9,11,12,13,14,15],[1,4,5,10,11,12,13,14,15],[1,4,6,7,8,9,10,11,12],[1,4,6,7,8,9,10,11,13],[1,4,6,7,8,9,10,11,14],[1,4,6,7,8,9,10,11,15],[1,4,6,7,8,9,10,12,13],[1,4,6,7,8,9,10,12,14],[1,4,6,7,8,9,10,12,15],[1,4,6,7,8,9,10,13,14],[1,4,6,7,8,9,10,13,15],[1,4,6,7,8,9,10,14,15],[1,4,6,7,8,9,11,12,13],[1,4,6,7,8,9,11,12,14],[1,4,6,7,8,9,11,12,15],[1,4,6,7,8,9,11,13,14],[1,4,6,7,8,9,11,13,15],[1,4,6,7,8,9,11,14,15],[1,4,6,7,8,9,12,13,14],[1,4,6,7,8,9,12,13,15],[1,4,6,7,8,9,12,14,15],[1,4,6,7,8,9,13,14,15],[1,4,6,7,8,10,11,12,13],[1,4,6,7,8,10,11,12,14],[1,4,6,7,8,10,11,12,15],[1,4,6,7,8,10,11,13,14],[1,4,6,7,8,10,11,13,15],[1,4,6,7,8,10,11,14,15],[1,4,6,7,8,10,12,13,14],[1,4,6,7,8,10,12,13,15],[1,4,6,7,8,10,12,14,15],[1,4,6,7,8,10,13,14,15],[1,4,6,7,8,11,12,13,14],[1,4,6,7,8,11,12,13,15],[1,4,6,7,8,11,12,14,15],[1,4,6,7,8,11,13,14,15],[1,4,6,7,8,12,13,14,15],[1,4,6,7,9,10,11,12,13],[1,4,6,7,9,10,11,12,14],[1,4,6,7,9,10,11,12,15],[1,4,6,7,9,10,11,13,14],[1,4,6,7,9,10,11,13,15],[1,4,6,7,9,10,11,14,15],[1,4,6,7,9,10,12,13,14],[1,4,6,7,9,10,12,13,15],[1,4,6,7,9,10,12,14,15],[1,4,6,7,9,10,13,14,15],[1,4,6,7,9,11,12,13,14],[1,4,6,7,9,11,12,13,15],[1,4,6,7,9,11,12,14,15],[1,4,6,7,9,11,13,14,15],[1,4,6,7,9,12,13,14,15],[1,4,6,7,10,11,12,13,14],[1,4,6,7,10,11,12,13,15],[1,4,6,7,10,11,12,14,15],[1,4,6,7,10,11,13,14,15],[1,4,6,7,10,12,13,14,15],[1,4,6,7,11,12,13,14,15],[1,4,6,8,9,10,11,12,13],[1,4,6,8,9,10,11,12,14],[1,4,6,8,9,10,11,12,15],[1,4,6,8,9,10,11,13,14],[1,4,6,8,9,10,11,13,15],[1,4,6,8,9,10,11,14,15],[1,4,6,8,9,10,12,13,14],[1,4,6,8,9,10,12,13,15],[1,4,6,8,9,10,12,14,15],[1,4,6,8,9,10,13,14,15],[1,4,6,8,9,11,12,13,14],[1,4,6,8,9,11,12,13,15],[1,4,6,8,9,11,12,14,15],[1,4,6,8,9,11,13,14,15],[1,4,6,8,9,12,13,14,15],[1,4,6,8,10,11,12,13,14],[1,4,6,8,10,11,12,13,15],[1,4,6,8,10,11,12,14,15],[1,4,6,8,10,11,13,14,15],[1,4,6,8,10,12,13,14,15],[1,4,6,8,11,12,13,14,15],[1,4,6,9,10,11,12,13,14],[1,4,6,9,10,11,12,13,15],[1,4,6,9,10,11,12,14,15],[1,4,6,9,10,11,13,14,15],[1,4,6,9,10,12,13,14,15],[1,4,6,9,11,12,13,14,15],[1,4,6,10,11,12,13,14,15],[1,4,7,8,9,10,11,12,13],[1,4,7,8,9,10,11,12,14],[1,4,7,8,9,10,11,12,15],[1,4,7,8,9,10,11,13,14],[1,4,7,8,9,10,11,13,15],[1,4,7,8,9,10,11,14,15],[1,4,7,8,9,10,12,13,14],[1,4,7,8,9,10,12,13,15],[1,4,7,8,9,10,12,14,15],[1,4,7,8,9,10,13,14,15],[1,4,7,8,9,11,12,13,14],[1,4,7,8,9,11,12,13,15],[1,4,7,8,9,11,12,14,15],[1,4,7,8,9,11,13,14,15],[1,4,7,8,9,12,13,14,15],[1,4,7,8,10,11,12,13,14],[1,4,7,8,10,11,12,13,15],[1,4,7,8,10,11,12,14,15],[1,4,7,8,10,11,13,14,15],[1,4,7,8,10,12,13,14,15],[1,4,7,8,11,12,13,14,15],[1,4,7,9,10,11,12,13,14],[1,4,7,9,10,11,12,13,15],[1,4,7,9,10,11,12,14,15],[1,4,7,9,10,11,13,14,15],[1,4,7,9,10,12,13,14,15],[1,4,7,9,11,12,13,14,15],[1,4,7,10,11,12,13,14,15],[1,4,8,9,10,11,12,13,14],[1,4,8,9,10,11,12,13,15],[1,4,8,9,10,11,12,14,15],[1,4,8,9,10,11,13,14,15],[1,4,8,9,10,12,13,14,15],[1,4,8,9,11,12,13,14,15],[1,4,8,10,11,12,13,14,15],[1,4,9,10,11,12,13,14,15],[1,5,6,7,8,9,10,11,12],[1,5,6,7,8,9,10,11,13],[1,5,6,7,8,9,10,11,14],[1,5,6,7,8,9,10,11,15],[1,5,6,7,8,9,10,12,13],[1,5,6,7,8,9,10,12,14],[1,5,6,7,8,9,10,12,15],[1,5,6,7,8,9,10,13,14],[1,5,6,7,8,9,10,13,15],[1,5,6,7,8,9,10,14,15],[1,5,6,7,8,9,11,12,13],[1,5,6,7,8,9,11,12,14],[1,5,6,7,8,9,11,12,15],[1,5,6,7,8,9,11,13,14],[1,5,6,7,8,9,11,13,15],[1,5,6,7,8,9,11,14,15],[1,5,6,7,8,9,12,13,14],[1,5,6,7,8,9,12,13,15],[1,5,6,7,8,9,12,14,15],[1,5,6,7,8,9,13,14,15],[1,5,6,7,8,10,11,12,13],[1,5,6,7,8,10,11,12,14],[1,5,6,7,8,10,11,12,15],[1,5,6,7,8,10,11,13,14],[1,5,6,7,8,10,11,13,15],[1,5,6,7,8,10,11,14,15],[1,5,6,7,8,10,12,13,14],[1,5,6,7,8,10,12,13,15],[1,5,6,7,8,10,12,14,15],[1,5,6,7,8,10,13,14,15],[1,5,6,7,8,11,12,13,14],[1,5,6,7,8,11,12,13,15],[1,5,6,7,8,11,12,14,15],[1,5,6,7,8,11,13,14,15],[1,5,6,7,8,12,13,14,15],[1,5,6,7,9,10,11,12,13],[1,5,6,7,9,10,11,12,14],[1,5,6,7,9,10,11,12,15],[1,5,6,7,9,10,11,13,14],[1,5,6,7,9,10,11,13,15],[1,5,6,7,9,10,11,14,15],[1,5,6,7,9,10,12,13,14],[1,5,6,7,9,10,12,13,15],[1,5,6,7,9,10,12,14,15],[1,5,6,7,9,10,13,14,15],[1,5,6,7,9,11,12,13,14],[1,5,6,7,9,11,12,13,15],[1,5,6,7,9,11,12,14,15],[1,5,6,7,9,11,13,14,15],[1,5,6,7,9,12,13,14,15],[1,5,6,7,10,11,12,13,14],[1,5,6,7,10,11,12,13,15],[1,5,6,7,10,11,12,14,15],[1,5,6,7,10,11,13,14,15],[1,5,6,7,10,12,13,14,15],[1,5,6,7,11,12,13,14,15],[1,5,6,8,9,10,11,12,13],[1,5,6,8,9,10,11,12,14],[1,5,6,8,9,10,11,12,15],[1,5,6,8,9,10,11,13,14],[1,5,6,8,9,10,11,13,15],[1,5,6,8,9,10,11,14,15],[1,5,6,8,9,10,12,13,14],[1,5,6,8,9,10,12,13,15],[1,5,6,8,9,10,12,14,15],[1,5,6,8,9,10,13,14,15],[1,5,6,8,9,11,12,13,14],[1,5,6,8,9,11,12,13,15],[1,5,6,8,9,11,12,14,15],[1,5,6,8,9,11,13,14,15],[1,5,6,8,9,12,13,14,15],[1,5,6,8,10,11,12,13,14],[1,5,6,8,10,11,12,13,15],[1,5,6,8,10,11,12,14,15],[1,5,6,8,10,11,13,14,15],[1,5,6,8,10,12,13,14,15],[1,5,6,8,11,12,13,14,15],[1,5,6,9,10,11,12,13,14],[1,5,6,9,10,11,12,13,15],[1,5,6,9,10,11,12,14,15],[1,5,6,9,10,11,13,14,15],[1,5,6,9,10,12,13,14,15],[1,5,6,9,11,12,13,14,15],[1,5,6,10,11,12,13,14,15],[1,5,7,8,9,10,11,12,13],[1,5,7,8,9,10,11,12,14],[1,5,7,8,9,10,11,12,15],[1,5,7,8,9,10,11,13,14],[1,5,7,8,9,10,11,13,15],[1,5,7,8,9,10,11,14,15],[1,5,7,8,9,10,12,13,14],[1,5,7,8,9,10,12,13,15],[1,5,7,8,9,10,12,14,15],[1,5,7,8,9,10,13,14,15],[1,5,7,8,9,11,12,13,14],[1,5,7,8,9,11,12,13,15],[1,5,7,8,9,11,12,14,15],[1,5,7,8,9,11,13,14,15],[1,5,7,8,9,12,13,14,15],[1,5,7,8,10,11,12,13,14],[1,5,7,8,10,11,12,13,15],[1,5,7,8,10,11,12,14,15],[1,5,7,8,10,11,13,14,15],[1,5,7,8,10,12,13,14,15],[1,5,7,8,11,12,13,14,15],[1,5,7,9,10,11,12,13,14],[1,5,7,9,10,11,12,13,15],[1,5,7,9,10,11,12,14,15],[1,5,7,9,10,11,13,14,15],[1,5,7,9,10,12,13,14,15],[1,5,7,9,11,12,13,14,15],[1,5,7,10,11,12,13,14,15],[1,5,8,9,10,11,12,13,14],[1,5,8,9,10,11,12,13,15],[1,5,8,9,10,11,12,14,15],[1,5,8,9,10,11,13,14,15],[1,5,8,9,10,12,13,14,15],[1,5,8,9,11,12,13,14,15],[1,5,8,10,11,12,13,14,15],[1,5,9,10,11,12,13,14,15],[1,6,7,8,9,10,11,12,13],[1,6,7,8,9,10,11,12,14],[1,6,7,8,9,10,11,12,15],[1,6,7,8,9,10,11,13,14],[1,6,7,8,9,10,11,13,15],[1,6,7,8,9,10,11,14,15],[1,6,7,8,9,10,12,13,14],[1,6,7,8,9,10,12,13,15],[1,6,7,8,9,10,12,14,15],[1,6,7,8,9,10,13,14,15],[1,6,7,8,9,11,12,13,14],[1,6,7,8,9,11,12,13,15],[1,6,7,8,9,11,12,14,15],[1,6,7,8,9,11,13,14,15],[1,6,7,8,9,12,13,14,15],[1,6,7,8,10,11,12,13,14],[1,6,7,8,10,11,12,13,15],[1,6,7,8,10,11,12,14,15],[1,6,7,8,10,11,13,14,15],[1,6,7,8,10,12,13,14,15],[1,6,7,8,11,12,13,14,15],[1,6,7,9,10,11,12,13,14],[1,6,7,9,10,11,12,13,15],[1,6,7,9,10,11,12,14,15],[1,6,7,9,10,11,13,14,15],[1,6,7,9,10,12,13,14,15],[1,6,7,9,11,12,13,14,15],[1,6,7,10,11,12,13,14,15],[1,6,8,9,10,11,12,13,14],[1,6,8,9,10,11,12,13,15],[1,6,8,9,10,11,12,14,15],[1,6,8,9,10,11,13,14,15],[1,6,8,9,10,12,13,14,15],[1,6,8,9,11,12,13,14,15],[1,6,8,10,11,12,13,14,15],[1,6,9,10,11,12,13,14,15],[1,7,8,9,10,11,12,13,14],[1,7,8,9,10,11,12,13,15],[1,7,8,9,10,11,12,14,15],[1,7,8,9,10,11,13,14,15],[1,7,8,9,10,12,13,14,15],[1,7,8,9,11,12,13,14,15],[1,7,8,10,11,12,13,14,15],[1,7,9,10,11,12,13,14,15],[1,8,9,10,11,12,13,14,15],[2,3,4,5,6,7,8,9,10],[2,3,4,5,6,7,8,9,11],[2,3,4,5,6,7,8,9,12],[2,3,4,5,6,7,8,9,13],[2,3,4,5,6,7,8,9,14],[2,3,4,5,6,7,8,9,15],[2,3,4,5,6,7,8,10,11],[2,3,4,5,6,7,8,10,12],[2,3,4,5,6,7,8,10,13],[2,3,4,5,6,7,8,10,14],[2,3,4,5,6,7,8,10,15],[2,3,4,5,6,7,8,11,12],[2,3,4,5,6,7,8,11,13],[2,3,4,5,6,7,8,11,14],[2,3,4,5,6,7,8,11,15],[2,3,4,5,6,7,8,12,13],[2,3,4,5,6,7,8,12,14],[2,3,4,5,6,7,8,12,15],[2,3,4,5,6,7,8,13,14],[2,3,4,5,6,7,8,13,15],[2,3,4,5,6,7,8,14,15],[2,3,4,5,6,7,9,10,11],[2,3,4,5,6,7,9,10,12],[2,3,4,5,6,7,9,10,13],[2,3,4,5,6,7,9,10,14],[2,3,4,5,6,7,9,10,15],[2,3,4,5,6,7,9,11,12],[2,3,4,5,6,7,9,11,13],[2,3,4,5,6,7,9,11,14],[2,3,4,5,6,7,9,11,15],[2,3,4,5,6,7,9,12,13],[2,3,4,5,6,7,9,12,14],[2,3,4,5,6,7,9,12,15],[2,3,4,5,6,7,9,13,14],[2,3,4,5,6,7,9,13,15],[2,3,4,5,6,7,9,14,15],[2,3,4,5,6,7,10,11,12],[2,3,4,5,6,7,10,11,13],[2,3,4,5,6,7,10,11,14],[2,3,4,5,6,7,10,11,15],[2,3,4,5,6,7,10,12,13],[2,3,4,5,6,7,10,12,14],[2,3,4,5,6,7,10,12,15],[2,3,4,5,6,7,10,13,14],[2,3,4,5,6,7,10,13,15],[2,3,4,5,6,7,10,14,15],[2,3,4,5,6,7,11,12,13],[2,3,4,5,6,7,11,12,14],[2,3,4,5,6,7,11,12,15],[2,3,4,5,6,7,11,13,14],[2,3,4,5,6,7,11,13,15],[2,3,4,5,6,7,11,14,15],[2,3,4,5,6,7,12,13,14],[2,3,4,5,6,7,12,13,15],[2,3,4,5,6,7,12,14,15],[2,3,4,5,6,7,13,14,15],[2,3,4,5,6,8,9,10,11],[2,3,4,5,6,8,9,10,12],[2,3,4,5,6,8,9,10,13],[2,3,4,5,6,8,9,10,14],[2,3,4,5,6,8,9,10,15],[2,3,4,5,6,8,9,11,12],[2,3,4,5,6,8,9,11,13],[2,3,4,5,6,8,9,11,14],[2,3,4,5,6,8,9,11,15],[2,3,4,5,6,8,9,12,13],[2,3,4,5,6,8,9,12,14],[2,3,4,5,6,8,9,12,15],[2,3,4,5,6,8,9,13,14],[2,3,4,5,6,8,9,13,15],[2,3,4,5,6,8,9,14,15],[2,3,4,5,6,8,10,11,12],[2,3,4,5,6,8,10,11,13],[2,3,4,5,6,8,10,11,14],[2,3,4,5,6,8,10,11,15],[2,3,4,5,6,8,10,12,13],[2,3,4,5,6,8,10,12,14],[2,3,4,5,6,8,10,12,15],[2,3,4,5,6,8,10,13,14],[2,3,4,5,6,8,10,13,15],[2,3,4,5,6,8,10,14,15],[2,3,4,5,6,8,11,12,13],[2,3,4,5,6,8,11,12,14],[2,3,4,5,6,8,11,12,15],[2,3,4,5,6,8,11,13,14],[2,3,4,5,6,8,11,13,15],[2,3,4,5,6,8,11,14,15],[2,3,4,5,6,8,12,13,14],[2,3,4,5,6,8,12,13,15],[2,3,4,5,6,8,12,14,15],[2,3,4,5,6,8,13,14,15],[2,3,4,5,6,9,10,11,12],[2,3,4,5,6,9,10,11,13],[2,3,4,5,6,9,10,11,14],[2,3,4,5,6,9,10,11,15],[2,3,4,5,6,9,10,12,13],[2,3,4,5,6,9,10,12,14],[2,3,4,5,6,9,10,12,15],[2,3,4,5,6,9,10,13,14],[2,3,4,5,6,9,10,13,15],[2,3,4,5,6,9,10,14,15],[2,3,4,5,6,9,11,12,13],[2,3,4,5,6,9,11,12,14],[2,3,4,5,6,9,11,12,15],[2,3,4,5,6,9,11,13,14],[2,3,4,5,6,9,11,13,15],[2,3,4,5,6,9,11,14,15],[2,3,4,5,6,9,12,13,14],[2,3,4,5,6,9,12,13,15],[2,3,4,5,6,9,12,14,15],[2,3,4,5,6,9,13,14,15],[2,3,4,5,6,10,11,12,13],[2,3,4,5,6,10,11,12,14],[2,3,4,5,6,10,11,12,15],[2,3,4,5,6,10,11,13,14],[2,3,4,5,6,10,11,13,15],[2,3,4,5,6,10,11,14,15],[2,3,4,5,6,10,12,13,14],[2,3,4,5,6,10,12,13,15],[2,3,4,5,6,10,12,14,15],[2,3,4,5,6,10,13,14,15],[2,3,4,5,6,11,12,13,14],[2,3,4,5,6,11,12,13,15],[2,3,4,5,6,11,12,14,15],[2,3,4,5,6,11,13,14,15],[2,3,4,5,6,12,13,14,15],[2,3,4,5,7,8,9,10,11],[2,3,4,5,7,8,9,10,12],[2,3,4,5,7,8,9,10,13],[2,3,4,5,7,8,9,10,14],[2,3,4,5,7,8,9,10,15],[2,3,4,5,7,8,9,11,12],[2,3,4,5,7,8,9,11,13],[2,3,4,5,7,8,9,11,14],[2,3,4,5,7,8,9,11,15],[2,3,4,5,7,8,9,12,13],[2,3,4,5,7,8,9,12,14],[2,3,4,5,7,8,9,12,15],[2,3,4,5,7,8,9,13,14],[2,3,4,5,7,8,9,13,15],[2,3,4,5,7,8,9,14,15],[2,3,4,5,7,8,10,11,12],[2,3,4,5,7,8,10,11,13],[2,3,4,5,7,8,10,11,14],[2,3,4,5,7,8,10,11,15],[2,3,4,5,7,8,10,12,13],[2,3,4,5,7,8,10,12,14],[2,3,4,5,7,8,10,12,15],[2,3,4,5,7,8,10,13,14],[2,3,4,5,7,8,10,13,15],[2,3,4,5,7,8,10,14,15],[2,3,4,5,7,8,11,12,13],[2,3,4,5,7,8,11,12,14],[2,3,4,5,7,8,11,12,15],[2,3,4,5,7,8,11,13,14],[2,3,4,5,7,8,11,13,15],[2,3,4,5,7,8,11,14,15],[2,3,4,5,7,8,12,13,14],[2,3,4,5,7,8,12,13,15],[2,3,4,5,7,8,12,14,15],[2,3,4,5,7,8,13,14,15],[2,3,4,5,7,9,10,11,12],[2,3,4,5,7,9,10,11,13],[2,3,4,5,7,9,10,11,14],[2,3,4,5,7,9,10,11,15],[2,3,4,5,7,9,10,12,13],[2,3,4,5,7,9,10,12,14],[2,3,4,5,7,9,10,12,15],[2,3,4,5,7,9,10,13,14],[2,3,4,5,7,9,10,13,15],[2,3,4,5,7,9,10,14,15],[2,3,4,5,7,9,11,12,13],[2,3,4,5,7,9,11,12,14],[2,3,4,5,7,9,11,12,15],[2,3,4,5,7,9,11,13,14],[2,3,4,5,7,9,11,13,15],[2,3,4,5,7,9,11,14,15],[2,3,4,5,7,9,12,13,14],[2,3,4,5,7,9,12,13,15],[2,3,4,5,7,9,12,14,15],[2,3,4,5,7,9,13,14,15],[2,3,4,5,7,10,11,12,13],[2,3,4,5,7,10,11,12,14],[2,3,4,5,7,10,11,12,15],[2,3,4,5,7,10,11,13,14],[2,3,4,5,7,10,11,13,15],[2,3,4,5,7,10,11,14,15],[2,3,4,5,7,10,12,13,14],[2,3,4,5,7,10,12,13,15],[2,3,4,5,7,10,12,14,15],[2,3,4,5,7,10,13,14,15],[2,3,4,5,7,11,12,13,14],[2,3,4,5,7,11,12,13,15],[2,3,4,5,7,11,12,14,15],[2,3,4,5,7,11,13,14,15],[2,3,4,5,7,12,13,14,15],[2,3,4,5,8,9,10,11,12],[2,3,4,5,8,9,10,11,13],[2,3,4,5,8,9,10,11,14],[2,3,4,5,8,9,10,11,15],[2,3,4,5,8,9,10,12,13],[2,3,4,5,8,9,10,12,14],[2,3,4,5,8,9,10,12,15],[2,3,4,5,8,9,10,13,14],[2,3,4,5,8,9,10,13,15],[2,3,4,5,8,9,10,14,15],[2,3,4,5,8,9,11,12,13],[2,3,4,5,8,9,11,12,14],[2,3,4,5,8,9,11,12,15],[2,3,4,5,8,9,11,13,14],[2,3,4,5,8,9,11,13,15],[2,3,4,5,8,9,11,14,15],[2,3,4,5,8,9,12,13,14],[2,3,4,5,8,9,12,13,15],[2,3,4,5,8,9,12,14,15],[2,3,4,5,8,9,13,14,15],[2,3,4,5,8,10,11,12,13],[2,3,4,5,8,10,11,12,14],[2,3,4,5,8,10,11,12,15],[2,3,4,5,8,10,11,13,14],[2,3,4,5,8,10,11,13,15],[2,3,4,5,8,10,11,14,15],[2,3,4,5,8,10,12,13,14],[2,3,4,5,8,10,12,13,15],[2,3,4,5,8,10,12,14,15],[2,3,4,5,8,10,13,14,15],[2,3,4,5,8,11,12,13,14],[2,3,4,5,8,11,12,13,15],[2,3,4,5,8,11,12,14,15],[2,3,4,5,8,11,13,14,15],[2,3,4,5,8,12,13,14,15],[2,3,4,5,9,10,11,12,13],[2,3,4,5,9,10,11,12,14],[2,3,4,5,9,10,11,12,15],[2,3,4,5,9,10,11,13,14],[2,3,4,5,9,10,11,13,15],[2,3,4,5,9,10,11,14,15],[2,3,4,5,9,10,12,13,14],[2,3,4,5,9,10,12,13,15],[2,3,4,5,9,10,12,14,15],[2,3,4,5,9,10,13,14,15],[2,3,4,5,9,11,12,13,14],[2,3,4,5,9,11,12,13,15],[2,3,4,5,9,11,12,14,15],[2,3,4,5,9,11,13,14,15],[2,3,4,5,9,12,13,14,15],[2,3,4,5,10,11,12,13,14],[2,3,4,5,10,11,12,13,15],[2,3,4,5,10,11,12,14,15],[2,3,4,5,10,11,13,14,15],[2,3,4,5,10,12,13,14,15],[2,3,4,5,11,12,13,14,15],[2,3,4,6,7,8,9,10,11],[2,3,4,6,7,8,9,10,12],[2,3,4,6,7,8,9,10,13],[2,3,4,6,7,8,9,10,14],[2,3,4,6,7,8,9,10,15],[2,3,4,6,7,8,9,11,12],[2,3,4,6,7,8,9,11,13],[2,3,4,6,7,8,9,11,14],[2,3,4,6,7,8,9,11,15],[2,3,4,6,7,8,9,12,13],[2,3,4,6,7,8,9,12,14],[2,3,4,6,7,8,9,12,15],[2,3,4,6,7,8,9,13,14],[2,3,4,6,7,8,9,13,15],[2,3,4,6,7,8,9,14,15],[2,3,4,6,7,8,10,11,12],[2,3,4,6,7,8,10,11,13],[2,3,4,6,7,8,10,11,14],[2,3,4,6,7,8,10,11,15],[2,3,4,6,7,8,10,12,13],[2,3,4,6,7,8,10,12,14],[2,3,4,6,7,8,10,12,15],[2,3,4,6,7,8,10,13,14],[2,3,4,6,7,8,10,13,15],[2,3,4,6,7,8,10,14,15],[2,3,4,6,7,8,11,12,13],[2,3,4,6,7,8,11,12,14],[2,3,4,6,7,8,11,12,15],[2,3,4,6,7,8,11,13,14],[2,3,4,6,7,8,11,13,15],[2,3,4,6,7,8,11,14,15],[2,3,4,6,7,8,12,13,14],[2,3,4,6,7,8,12,13,15],[2,3,4,6,7,8,12,14,15],[2,3,4,6,7,8,13,14,15],[2,3,4,6,7,9,10,11,12],[2,3,4,6,7,9,10,11,13],[2,3,4,6,7,9,10,11,14],[2,3,4,6,7,9,10,11,15],[2,3,4,6,7,9,10,12,13],[2,3,4,6,7,9,10,12,14],[2,3,4,6,7,9,10,12,15],[2,3,4,6,7,9,10,13,14],[2,3,4,6,7,9,10,13,15],[2,3,4,6,7,9,10,14,15],[2,3,4,6,7,9,11,12,13],[2,3,4,6,7,9,11,12,14],[2,3,4,6,7,9,11,12,15],[2,3,4,6,7,9,11,13,14],[2,3,4,6,7,9,11,13,15],[2,3,4,6,7,9,11,14,15],[2,3,4,6,7,9,12,13,14],[2,3,4,6,7,9,12,13,15],[2,3,4,6,7,9,12,14,15],[2,3,4,6,7,9,13,14,15],[2,3,4,6,7,10,11,12,13],[2,3,4,6,7,10,11,12,14],[2,3,4,6,7,10,11,12,15],[2,3,4,6,7,10,11,13,14],[2,3,4,6,7,10,11,13,15],[2,3,4,6,7,10,11,14,15],[2,3,4,6,7,10,12,13,14],[2,3,4,6,7,10,12,13,15],[2,3,4,6,7,10,12,14,15],[2,3,4,6,7,10,13,14,15],[2,3,4,6,7,11,12,13,14],[2,3,4,6,7,11,12,13,15],[2,3,4,6,7,11,12,14,15],[2,3,4,6,7,11,13,14,15],[2,3,4,6,7,12,13,14,15],[2,3,4,6,8,9,10,11,12],[2,3,4,6,8,9,10,11,13],[2,3,4,6,8,9,10,11,14],[2,3,4,6,8,9,10,11,15],[2,3,4,6,8,9,10,12,13],[2,3,4,6,8,9,10,12,14],[2,3,4,6,8,9,10,12,15],[2,3,4,6,8,9,10,13,14],[2,3,4,6,8,9,10,13,15],[2,3,4,6,8,9,10,14,15],[2,3,4,6,8,9,11,12,13],[2,3,4,6,8,9,11,12,14],[2,3,4,6,8,9,11,12,15],[2,3,4,6,8,9,11,13,14],[2,3,4,6,8,9,11,13,15],[2,3,4,6,8,9,11,14,15],[2,3,4,6,8,9,12,13,14],[2,3,4,6,8,9,12,13,15],[2,3,4,6,8,9,12,14,15],[2,3,4,6,8,9,13,14,15],[2,3,4,6,8,10,11,12,13],[2,3,4,6,8,10,11,12,14],[2,3,4,6,8,10,11,12,15],[2,3,4,6,8,10,11,13,14],[2,3,4,6,8,10,11,13,15],[2,3,4,6,8,10,11,14,15],[2,3,4,6,8,10,12,13,14],[2,3,4,6,8,10,12,13,15],[2,3,4,6,8,10,12,14,15],[2,3,4,6,8,10,13,14,15],[2,3,4,6,8,11,12,13,14],[2,3,4,6,8,11,12,13,15],[2,3,4,6,8,11,12,14,15],[2,3,4,6,8,11,13,14,15],[2,3,4,6,8,12,13,14,15],[2,3,4,6,9,10,11,12,13],[2,3,4,6,9,10,11,12,14],[2,3,4,6,9,10,11,12,15],[2,3,4,6,9,10,11,13,14],[2,3,4,6,9,10,11,13,15],[2,3,4,6,9,10,11,14,15],[2,3,4,6,9,10,12,13,14],[2,3,4,6,9,10,12,13,15],[2,3,4,6,9,10,12,14,15],[2,3,4,6,9,10,13,14,15],[2,3,4,6,9,11,12,13,14],[2,3,4,6,9,11,12,13,15],[2,3,4,6,9,11,12,14,15],[2,3,4,6,9,11,13,14,15],[2,3,4,6,9,12,13,14,15],[2,3,4,6,10,11,12,13,14],[2,3,4,6,10,11,12,13,15],[2,3,4,6,10,11,12,14,15],[2,3,4,6,10,11,13,14,15],[2,3,4,6,10,12,13,14,15],[2,3,4,6,11,12,13,14,15],[2,3,4,7,8,9,10,11,12],[2,3,4,7,8,9,10,11,13],[2,3,4,7,8,9,10,11,14],[2,3,4,7,8,9,10,11,15],[2,3,4,7,8,9,10,12,13],[2,3,4,7,8,9,10,12,14],[2,3,4,7,8,9,10,12,15],[2,3,4,7,8,9,10,13,14],[2,3,4,7,8,9,10,13,15],[2,3,4,7,8,9,10,14,15],[2,3,4,7,8,9,11,12,13],[2,3,4,7,8,9,11,12,14],[2,3,4,7,8,9,11,12,15],[2,3,4,7,8,9,11,13,14],[2,3,4,7,8,9,11,13,15],[2,3,4,7,8,9,11,14,15],[2,3,4,7,8,9,12,13,14],[2,3,4,7,8,9,12,13,15],[2,3,4,7,8,9,12,14,15],[2,3,4,7,8,9,13,14,15],[2,3,4,7,8,10,11,12,13],[2,3,4,7,8,10,11,12,14],[2,3,4,7,8,10,11,12,15],[2,3,4,7,8,10,11,13,14],[2,3,4,7,8,10,11,13,15],[2,3,4,7,8,10,11,14,15],[2,3,4,7,8,10,12,13,14],[2,3,4,7,8,10,12,13,15],[2,3,4,7,8,10,12,14,15],[2,3,4,7,8,10,13,14,15],[2,3,4,7,8,11,12,13,14],[2,3,4,7,8,11,12,13,15],[2,3,4,7,8,11,12,14,15],[2,3,4,7,8,11,13,14,15],[2,3,4,7,8,12,13,14,15],[2,3,4,7,9,10,11,12,13],[2,3,4,7,9,10,11,12,14],[2,3,4,7,9,10,11,12,15],[2,3,4,7,9,10,11,13,14],[2,3,4,7,9,10,11,13,15],[2,3,4,7,9,10,11,14,15],[2,3,4,7,9,10,12,13,14],[2,3,4,7,9,10,12,13,15],[2,3,4,7,9,10,12,14,15],[2,3,4,7,9,10,13,14,15],[2,3,4,7,9,11,12,13,14],[2,3,4,7,9,11,12,13,15],[2,3,4,7,9,11,12,14,15],[2,3,4,7,9,11,13,14,15],[2,3,4,7,9,12,13,14,15],[2,3,4,7,10,11,12,13,14],[2,3,4,7,10,11,12,13,15],[2,3,4,7,10,11,12,14,15],[2,3,4,7,10,11,13,14,15],[2,3,4,7,10,12,13,14,15],[2,3,4,7,11,12,13,14,15],[2,3,4,8,9,10,11,12,13],[2,3,4,8,9,10,11,12,14],[2,3,4,8,9,10,11,12,15],[2,3,4,8,9,10,11,13,14],[2,3,4,8,9,10,11,13,15],[2,3,4,8,9,10,11,14,15],[2,3,4,8,9,10,12,13,14],[2,3,4,8,9,10,12,13,15],[2,3,4,8,9,10,12,14,15],[2,3,4,8,9,10,13,14,15],[2,3,4,8,9,11,12,13,14],[2,3,4,8,9,11,12,13,15],[2,3,4,8,9,11,12,14,15],[2,3,4,8,9,11,13,14,15],[2,3,4,8,9,12,13,14,15],[2,3,4,8,10,11,12,13,14],[2,3,4,8,10,11,12,13,15],[2,3,4,8,10,11,12,14,15],[2,3,4,8,10,11,13,14,15],[2,3,4,8,10,12,13,14,15],[2,3,4,8,11,12,13,14,15],[2,3,4,9,10,11,12,13,14],[2,3,4,9,10,11,12,13,15],[2,3,4,9,10,11,12,14,15],[2,3,4,9,10,11,13,14,15],[2,3,4,9,10,12,13,14,15],[2,3,4,9,11,12,13,14,15],[2,3,4,10,11,12,13,14,15],[2,3,5,6,7,8,9,10,11],[2,3,5,6,7,8,9,10,12],[2,3,5,6,7,8,9,10,13],[2,3,5,6,7,8,9,10,14],[2,3,5,6,7,8,9,10,15],[2,3,5,6,7,8,9,11,12],[2,3,5,6,7,8,9,11,13],[2,3,5,6,7,8,9,11,14],[2,3,5,6,7,8,9,11,15],[2,3,5,6,7,8,9,12,13],[2,3,5,6,7,8,9,12,14],[2,3,5,6,7,8,9,12,15],[2,3,5,6,7,8,9,13,14],[2,3,5,6,7,8,9,13,15],[2,3,5,6,7,8,9,14,15],[2,3,5,6,7,8,10,11,12],[2,3,5,6,7,8,10,11,13],[2,3,5,6,7,8,10,11,14],[2,3,5,6,7,8,10,11,15],[2,3,5,6,7,8,10,12,13],[2,3,5,6,7,8,10,12,14],[2,3,5,6,7,8,10,12,15],[2,3,5,6,7,8,10,13,14],[2,3,5,6,7,8,10,13,15],[2,3,5,6,7,8,10,14,15],[2,3,5,6,7,8,11,12,13],[2,3,5,6,7,8,11,12,14],[2,3,5,6,7,8,11,12,15],[2,3,5,6,7,8,11,13,14],[2,3,5,6,7,8,11,13,15],[2,3,5,6,7,8,11,14,15],[2,3,5,6,7,8,12,13,14],[2,3,5,6,7,8,12,13,15],[2,3,5,6,7,8,12,14,15],[2,3,5,6,7,8,13,14,15],[2,3,5,6,7,9,10,11,12],[2,3,5,6,7,9,10,11,13],[2,3,5,6,7,9,10,11,14],[2,3,5,6,7,9,10,11,15],[2,3,5,6,7,9,10,12,13],[2,3,5,6,7,9,10,12,14],[2,3,5,6,7,9,10,12,15],[2,3,5,6,7,9,10,13,14],[2,3,5,6,7,9,10,13,15],[2,3,5,6,7,9,10,14,15],[2,3,5,6,7,9,11,12,13],[2,3,5,6,7,9,11,12,14],[2,3,5,6,7,9,11,12,15],[2,3,5,6,7,9,11,13,14],[2,3,5,6,7,9,11,13,15],[2,3,5,6,7,9,11,14,15],[2,3,5,6,7,9,12,13,14],[2,3,5,6,7,9,12,13,15],[2,3,5,6,7,9,12,14,15],[2,3,5,6,7,9,13,14,15],[2,3,5,6,7,10,11,12,13],[2,3,5,6,7,10,11,12,14],[2,3,5,6,7,10,11,12,15],[2,3,5,6,7,10,11,13,14],[2,3,5,6,7,10,11,13,15],[2,3,5,6,7,10,11,14,15],[2,3,5,6,7,10,12,13,14],[2,3,5,6,7,10,12,13,15],[2,3,5,6,7,10,12,14,15],[2,3,5,6,7,10,13,14,15],[2,3,5,6,7,11,12,13,14],[2,3,5,6,7,11,12,13,15],[2,3,5,6,7,11,12,14,15],[2,3,5,6,7,11,13,14,15],[2,3,5,6,7,12,13,14,15],[2,3,5,6,8,9,10,11,12],[2,3,5,6,8,9,10,11,13],[2,3,5,6,8,9,10,11,14],[2,3,5,6,8,9,10,11,15],[2,3,5,6,8,9,10,12,13],[2,3,5,6,8,9,10,12,14],[2,3,5,6,8,9,10,12,15],[2,3,5,6,8,9,10,13,14],[2,3,5,6,8,9,10,13,15],[2,3,5,6,8,9,10,14,15],[2,3,5,6,8,9,11,12,13],[2,3,5,6,8,9,11,12,14],[2,3,5,6,8,9,11,12,15],[2,3,5,6,8,9,11,13,14],[2,3,5,6,8,9,11,13,15],[2,3,5,6,8,9,11,14,15],[2,3,5,6,8,9,12,13,14],[2,3,5,6,8,9,12,13,15],[2,3,5,6,8,9,12,14,15],[2,3,5,6,8,9,13,14,15],[2,3,5,6,8,10,11,12,13],[2,3,5,6,8,10,11,12,14],[2,3,5,6,8,10,11,12,15],[2,3,5,6,8,10,11,13,14],[2,3,5,6,8,10,11,13,15],[2,3,5,6,8,10,11,14,15],[2,3,5,6,8,10,12,13,14],[2,3,5,6,8,10,12,13,15],[2,3,5,6,8,10,12,14,15],[2,3,5,6,8,10,13,14,15],[2,3,5,6,8,11,12,13,14],[2,3,5,6,8,11,12,13,15],[2,3,5,6,8,11,12,14,15],[2,3,5,6,8,11,13,14,15],[2,3,5,6,8,12,13,14,15],[2,3,5,6,9,10,11,12,13],[2,3,5,6,9,10,11,12,14],[2,3,5,6,9,10,11,12,15],[2,3,5,6,9,10,11,13,14],[2,3,5,6,9,10,11,13,15],[2,3,5,6,9,10,11,14,15],[2,3,5,6,9,10,12,13,14],[2,3,5,6,9,10,12,13,15],[2,3,5,6,9,10,12,14,15],[2,3,5,6,9,10,13,14,15],[2,3,5,6,9,11,12,13,14],[2,3,5,6,9,11,12,13,15],[2,3,5,6,9,11,12,14,15],[2,3,5,6,9,11,13,14,15],[2,3,5,6,9,12,13,14,15],[2,3,5,6,10,11,12,13,14],[2,3,5,6,10,11,12,13,15],[2,3,5,6,10,11,12,14,15],[2,3,5,6,10,11,13,14,15],[2,3,5,6,10,12,13,14,15],[2,3,5,6,11,12,13,14,15],[2,3,5,7,8,9,10,11,12],[2,3,5,7,8,9,10,11,13],[2,3,5,7,8,9,10,11,14],[2,3,5,7,8,9,10,11,15],[2,3,5,7,8,9,10,12,13],[2,3,5,7,8,9,10,12,14],[2,3,5,7,8,9,10,12,15],[2,3,5,7,8,9,10,13,14],[2,3,5,7,8,9,10,13,15],[2,3,5,7,8,9,10,14,15],[2,3,5,7,8,9,11,12,13],[2,3,5,7,8,9,11,12,14],[2,3,5,7,8,9,11,12,15],[2,3,5,7,8,9,11,13,14],[2,3,5,7,8,9,11,13,15],[2,3,5,7,8,9,11,14,15],[2,3,5,7,8,9,12,13,14],[2,3,5,7,8,9,12,13,15],[2,3,5,7,8,9,12,14,15],[2,3,5,7,8,9,13,14,15],[2,3,5,7,8,10,11,12,13],[2,3,5,7,8,10,11,12,14],[2,3,5,7,8,10,11,12,15],[2,3,5,7,8,10,11,13,14],[2,3,5,7,8,10,11,13,15],[2,3,5,7,8,10,11,14,15],[2,3,5,7,8,10,12,13,14],[2,3,5,7,8,10,12,13,15],[2,3,5,7,8,10,12,14,15],[2,3,5,7,8,10,13,14,15],[2,3,5,7,8,11,12,13,14],[2,3,5,7,8,11,12,13,15],[2,3,5,7,8,11,12,14,15],[2,3,5,7,8,11,13,14,15],[2,3,5,7,8,12,13,14,15],[2,3,5,7,9,10,11,12,13],[2,3,5,7,9,10,11,12,14],[2,3,5,7,9,10,11,12,15],[2,3,5,7,9,10,11,13,14],[2,3,5,7,9,10,11,13,15],[2,3,5,7,9,10,11,14,15],[2,3,5,7,9,10,12,13,14],[2,3,5,7,9,10,12,13,15],[2,3,5,7,9,10,12,14,15],[2,3,5,7,9,10,13,14,15],[2,3,5,7,9,11,12,13,14],[2,3,5,7,9,11,12,13,15],[2,3,5,7,9,11,12,14,15],[2,3,5,7,9,11,13,14,15],[2,3,5,7,9,12,13,14,15],[2,3,5,7,10,11,12,13,14],[2,3,5,7,10,11,12,13,15],[2,3,5,7,10,11,12,14,15],[2,3,5,7,10,11,13,14,15],[2,3,5,7,10,12,13,14,15],[2,3,5,7,11,12,13,14,15],[2,3,5,8,9,10,11,12,13],[2,3,5,8,9,10,11,12,14],[2,3,5,8,9,10,11,12,15],[2,3,5,8,9,10,11,13,14],[2,3,5,8,9,10,11,13,15],[2,3,5,8,9,10,11,14,15],[2,3,5,8,9,10,12,13,14],[2,3,5,8,9,10,12,13,15],[2,3,5,8,9,10,12,14,15],[2,3,5,8,9,10,13,14,15],[2,3,5,8,9,11,12,13,14],[2,3,5,8,9,11,12,13,15],[2,3,5,8,9,11,12,14,15],[2,3,5,8,9,11,13,14,15],[2,3,5,8,9,12,13,14,15],[2,3,5,8,10,11,12,13,14],[2,3,5,8,10,11,12,13,15],[2,3,5,8,10,11,12,14,15],[2,3,5,8,10,11,13,14,15],[2,3,5,8,10,12,13,14,15],[2,3,5,8,11,12,13,14,15],[2,3,5,9,10,11,12,13,14],[2,3,5,9,10,11,12,13,15],[2,3,5,9,10,11,12,14,15],[2,3,5,9,10,11,13,14,15],[2,3,5,9,10,12,13,14,15],[2,3,5,9,11,12,13,14,15],[2,3,5,10,11,12,13,14,15],[2,3,6,7,8,9,10,11,12],[2,3,6,7,8,9,10,11,13],[2,3,6,7,8,9,10,11,14],[2,3,6,7,8,9,10,11,15],[2,3,6,7,8,9,10,12,13],[2,3,6,7,8,9,10,12,14],[2,3,6,7,8,9,10,12,15],[2,3,6,7,8,9,10,13,14],[2,3,6,7,8,9,10,13,15],[2,3,6,7,8,9,10,14,15],[2,3,6,7,8,9,11,12,13],[2,3,6,7,8,9,11,12,14],[2,3,6,7,8,9,11,12,15],[2,3,6,7,8,9,11,13,14],[2,3,6,7,8,9,11,13,15],[2,3,6,7,8,9,11,14,15],[2,3,6,7,8,9,12,13,14],[2,3,6,7,8,9,12,13,15],[2,3,6,7,8,9,12,14,15],[2,3,6,7,8,9,13,14,15],[2,3,6,7,8,10,11,12,13],[2,3,6,7,8,10,11,12,14],[2,3,6,7,8,10,11,12,15],[2,3,6,7,8,10,11,13,14],[2,3,6,7,8,10,11,13,15],[2,3,6,7,8,10,11,14,15],[2,3,6,7,8,10,12,13,14],[2,3,6,7,8,10,12,13,15],[2,3,6,7,8,10,12,14,15],[2,3,6,7,8,10,13,14,15],[2,3,6,7,8,11,12,13,14],[2,3,6,7,8,11,12,13,15],[2,3,6,7,8,11,12,14,15],[2,3,6,7,8,11,13,14,15],[2,3,6,7,8,12,13,14,15],[2,3,6,7,9,10,11,12,13],[2,3,6,7,9,10,11,12,14],[2,3,6,7,9,10,11,12,15],[2,3,6,7,9,10,11,13,14],[2,3,6,7,9,10,11,13,15],[2,3,6,7,9,10,11,14,15],[2,3,6,7,9,10,12,13,14],[2,3,6,7,9,10,12,13,15],[2,3,6,7,9,10,12,14,15],[2,3,6,7,9,10,13,14,15],[2,3,6,7,9,11,12,13,14],[2,3,6,7,9,11,12,13,15],[2,3,6,7,9,11,12,14,15],[2,3,6,7,9,11,13,14,15],[2,3,6,7,9,12,13,14,15],[2,3,6,7,10,11,12,13,14],[2,3,6,7,10,11,12,13,15],[2,3,6,7,10,11,12,14,15],[2,3,6,7,10,11,13,14,15],[2,3,6,7,10,12,13,14,15],[2,3,6,7,11,12,13,14,15],[2,3,6,8,9,10,11,12,13],[2,3,6,8,9,10,11,12,14],[2,3,6,8,9,10,11,12,15],[2,3,6,8,9,10,11,13,14],[2,3,6,8,9,10,11,13,15],[2,3,6,8,9,10,11,14,15],[2,3,6,8,9,10,12,13,14],[2,3,6,8,9,10,12,13,15],[2,3,6,8,9,10,12,14,15],[2,3,6,8,9,10,13,14,15],[2,3,6,8,9,11,12,13,14],[2,3,6,8,9,11,12,13,15],[2,3,6,8,9,11,12,14,15],[2,3,6,8,9,11,13,14,15],[2,3,6,8,9,12,13,14,15],[2,3,6,8,10,11,12,13,14],[2,3,6,8,10,11,12,13,15],[2,3,6,8,10,11,12,14,15],[2,3,6,8,10,11,13,14,15],[2,3,6,8,10,12,13,14,15],[2,3,6,8,11,12,13,14,15],[2,3,6,9,10,11,12,13,14],[2,3,6,9,10,11,12,13,15],[2,3,6,9,10,11,12,14,15],[2,3,6,9,10,11,13,14,15],[2,3,6,9,10,12,13,14,15],[2,3,6,9,11,12,13,14,15],[2,3,6,10,11,12,13,14,15],[2,3,7,8,9,10,11,12,13],[2,3,7,8,9,10,11,12,14],[2,3,7,8,9,10,11,12,15],[2,3,7,8,9,10,11,13,14],[2,3,7,8,9,10,11,13,15],[2,3,7,8,9,10,11,14,15],[2,3,7,8,9,10,12,13,14],[2,3,7,8,9,10,12,13,15],[2,3,7,8,9,10,12,14,15],[2,3,7,8,9,10,13,14,15],[2,3,7,8,9,11,12,13,14],[2,3,7,8,9,11,12,13,15],[2,3,7,8,9,11,12,14,15],[2,3,7,8,9,11,13,14,15],[2,3,7,8,9,12,13,14,15],[2,3,7,8,10,11,12,13,14],[2,3,7,8,10,11,12,13,15],[2,3,7,8,10,11,12,14,15],[2,3,7,8,10,11,13,14,15],[2,3,7,8,10,12,13,14,15],[2,3,7,8,11,12,13,14,15],[2,3,7,9,10,11,12,13,14],[2,3,7,9,10,11,12,13,15],[2,3,7,9,10,11,12,14,15],[2,3,7,9,10,11,13,14,15],[2,3,7,9,10,12,13,14,15],[2,3,7,9,11,12,13,14,15],[2,3,7,10,11,12,13,14,15],[2,3,8,9,10,11,12,13,14],[2,3,8,9,10,11,12,13,15],[2,3,8,9,10,11,12,14,15],[2,3,8,9,10,11,13,14,15],[2,3,8,9,10,12,13,14,15],[2,3,8,9,11,12,13,14,15],[2,3,8,10,11,12,13,14,15],[2,3,9,10,11,12,13,14,15],[2,4,5,6,7,8,9,10,11],[2,4,5,6,7,8,9,10,12],[2,4,5,6,7,8,9,10,13],[2,4,5,6,7,8,9,10,14],[2,4,5,6,7,8,9,10,15],[2,4,5,6,7,8,9,11,12],[2,4,5,6,7,8,9,11,13],[2,4,5,6,7,8,9,11,14],[2,4,5,6,7,8,9,11,15],[2,4,5,6,7,8,9,12,13],[2,4,5,6,7,8,9,12,14],[2,4,5,6,7,8,9,12,15],[2,4,5,6,7,8,9,13,14],[2,4,5,6,7,8,9,13,15],[2,4,5,6,7,8,9,14,15],[2,4,5,6,7,8,10,11,12],[2,4,5,6,7,8,10,11,13],[2,4,5,6,7,8,10,11,14],[2,4,5,6,7,8,10,11,15],[2,4,5,6,7,8,10,12,13],[2,4,5,6,7,8,10,12,14],[2,4,5,6,7,8,10,12,15],[2,4,5,6,7,8,10,13,14],[2,4,5,6,7,8,10,13,15],[2,4,5,6,7,8,10,14,15],[2,4,5,6,7,8,11,12,13],[2,4,5,6,7,8,11,12,14],[2,4,5,6,7,8,11,12,15],[2,4,5,6,7,8,11,13,14],[2,4,5,6,7,8,11,13,15],[2,4,5,6,7,8,11,14,15],[2,4,5,6,7,8,12,13,14],[2,4,5,6,7,8,12,13,15],[2,4,5,6,7,8,12,14,15],[2,4,5,6,7,8,13,14,15],[2,4,5,6,7,9,10,11,12],[2,4,5,6,7,9,10,11,13],[2,4,5,6,7,9,10,11,14],[2,4,5,6,7,9,10,11,15],[2,4,5,6,7,9,10,12,13],[2,4,5,6,7,9,10,12,14],[2,4,5,6,7,9,10,12,15],[2,4,5,6,7,9,10,13,14],[2,4,5,6,7,9,10,13,15],[2,4,5,6,7,9,10,14,15],[2,4,5,6,7,9,11,12,13],[2,4,5,6,7,9,11,12,14],[2,4,5,6,7,9,11,12,15],[2,4,5,6,7,9,11,13,14],[2,4,5,6,7,9,11,13,15],[2,4,5,6,7,9,11,14,15],[2,4,5,6,7,9,12,13,14],[2,4,5,6,7,9,12,13,15],[2,4,5,6,7,9,12,14,15],[2,4,5,6,7,9,13,14,15],[2,4,5,6,7,10,11,12,13],[2,4,5,6,7,10,11,12,14],[2,4,5,6,7,10,11,12,15],[2,4,5,6,7,10,11,13,14],[2,4,5,6,7,10,11,13,15],[2,4,5,6,7,10,11,14,15],[2,4,5,6,7,10,12,13,14],[2,4,5,6,7,10,12,13,15],[2,4,5,6,7,10,12,14,15],[2,4,5,6,7,10,13,14,15],[2,4,5,6,7,11,12,13,14],[2,4,5,6,7,11,12,13,15],[2,4,5,6,7,11,12,14,15],[2,4,5,6,7,11,13,14,15],[2,4,5,6,7,12,13,14,15],[2,4,5,6,8,9,10,11,12],[2,4,5,6,8,9,10,11,13],[2,4,5,6,8,9,10,11,14],[2,4,5,6,8,9,10,11,15],[2,4,5,6,8,9,10,12,13],[2,4,5,6,8,9,10,12,14],[2,4,5,6,8,9,10,12,15],[2,4,5,6,8,9,10,13,14],[2,4,5,6,8,9,10,13,15],[2,4,5,6,8,9,10,14,15],[2,4,5,6,8,9,11,12,13],[2,4,5,6,8,9,11,12,14],[2,4,5,6,8,9,11,12,15],[2,4,5,6,8,9,11,13,14],[2,4,5,6,8,9,11,13,15],[2,4,5,6,8,9,11,14,15],[2,4,5,6,8,9,12,13,14],[2,4,5,6,8,9,12,13,15],[2,4,5,6,8,9,12,14,15],[2,4,5,6,8,9,13,14,15],[2,4,5,6,8,10,11,12,13],[2,4,5,6,8,10,11,12,14],[2,4,5,6,8,10,11,12,15],[2,4,5,6,8,10,11,13,14],[2,4,5,6,8,10,11,13,15],[2,4,5,6,8,10,11,14,15],[2,4,5,6,8,10,12,13,14],[2,4,5,6,8,10,12,13,15],[2,4,5,6,8,10,12,14,15],[2,4,5,6,8,10,13,14,15],[2,4,5,6,8,11,12,13,14],[2,4,5,6,8,11,12,13,15],[2,4,5,6,8,11,12,14,15],[2,4,5,6,8,11,13,14,15],[2,4,5,6,8,12,13,14,15],[2,4,5,6,9,10,11,12,13],[2,4,5,6,9,10,11,12,14],[2,4,5,6,9,10,11,12,15],[2,4,5,6,9,10,11,13,14],[2,4,5,6,9,10,11,13,15],[2,4,5,6,9,10,11,14,15],[2,4,5,6,9,10,12,13,14],[2,4,5,6,9,10,12,13,15],[2,4,5,6,9,10,12,14,15],[2,4,5,6,9,10,13,14,15],[2,4,5,6,9,11,12,13,14],[2,4,5,6,9,11,12,13,15],[2,4,5,6,9,11,12,14,15],[2,4,5,6,9,11,13,14,15],[2,4,5,6,9,12,13,14,15],[2,4,5,6,10,11,12,13,14],[2,4,5,6,10,11,12,13,15],[2,4,5,6,10,11,12,14,15],[2,4,5,6,10,11,13,14,15],[2,4,5,6,10,12,13,14,15],[2,4,5,6,11,12,13,14,15],[2,4,5,7,8,9,10,11,12],[2,4,5,7,8,9,10,11,13],[2,4,5,7,8,9,10,11,14],[2,4,5,7,8,9,10,11,15],[2,4,5,7,8,9,10,12,13],[2,4,5,7,8,9,10,12,14],[2,4,5,7,8,9,10,12,15],[2,4,5,7,8,9,10,13,14],[2,4,5,7,8,9,10,13,15],[2,4,5,7,8,9,10,14,15],[2,4,5,7,8,9,11,12,13],[2,4,5,7,8,9,11,12,14],[2,4,5,7,8,9,11,12,15],[2,4,5,7,8,9,11,13,14],[2,4,5,7,8,9,11,13,15],[2,4,5,7,8,9,11,14,15],[2,4,5,7,8,9,12,13,14],[2,4,5,7,8,9,12,13,15],[2,4,5,7,8,9,12,14,15],[2,4,5,7,8,9,13,14,15],[2,4,5,7,8,10,11,12,13],[2,4,5,7,8,10,11,12,14],[2,4,5,7,8,10,11,12,15],[2,4,5,7,8,10,11,13,14],[2,4,5,7,8,10,11,13,15],[2,4,5,7,8,10,11,14,15],[2,4,5,7,8,10,12,13,14],[2,4,5,7,8,10,12,13,15],[2,4,5,7,8,10,12,14,15],[2,4,5,7,8,10,13,14,15],[2,4,5,7,8,11,12,13,14],[2,4,5,7,8,11,12,13,15],[2,4,5,7,8,11,12,14,15],[2,4,5,7,8,11,13,14,15],[2,4,5,7,8,12,13,14,15],[2,4,5,7,9,10,11,12,13],[2,4,5,7,9,10,11,12,14],[2,4,5,7,9,10,11,12,15],[2,4,5,7,9,10,11,13,14],[2,4,5,7,9,10,11,13,15],[2,4,5,7,9,10,11,14,15],[2,4,5,7,9,10,12,13,14],[2,4,5,7,9,10,12,13,15],[2,4,5,7,9,10,12,14,15],[2,4,5,7,9,10,13,14,15],[2,4,5,7,9,11,12,13,14],[2,4,5,7,9,11,12,13,15],[2,4,5,7,9,11,12,14,15],[2,4,5,7,9,11,13,14,15],[2,4,5,7,9,12,13,14,15],[2,4,5,7,10,11,12,13,14],[2,4,5,7,10,11,12,13,15],[2,4,5,7,10,11,12,14,15],[2,4,5,7,10,11,13,14,15],[2,4,5,7,10,12,13,14,15],[2,4,5,7,11,12,13,14,15],[2,4,5,8,9,10,11,12,13],[2,4,5,8,9,10,11,12,14],[2,4,5,8,9,10,11,12,15],[2,4,5,8,9,10,11,13,14],[2,4,5,8,9,10,11,13,15],[2,4,5,8,9,10,11,14,15],[2,4,5,8,9,10,12,13,14],[2,4,5,8,9,10,12,13,15],[2,4,5,8,9,10,12,14,15],[2,4,5,8,9,10,13,14,15],[2,4,5,8,9,11,12,13,14],[2,4,5,8,9,11,12,13,15],[2,4,5,8,9,11,12,14,15],[2,4,5,8,9,11,13,14,15],[2,4,5,8,9,12,13,14,15],[2,4,5,8,10,11,12,13,14],[2,4,5,8,10,11,12,13,15],[2,4,5,8,10,11,12,14,15],[2,4,5,8,10,11,13,14,15],[2,4,5,8,10,12,13,14,15],[2,4,5,8,11,12,13,14,15],[2,4,5,9,10,11,12,13,14],[2,4,5,9,10,11,12,13,15],[2,4,5,9,10,11,12,14,15],[2,4,5,9,10,11,13,14,15],[2,4,5,9,10,12,13,14,15],[2,4,5,9,11,12,13,14,15],[2,4,5,10,11,12,13,14,15],[2,4,6,7,8,9,10,11,12],[2,4,6,7,8,9,10,11,13],[2,4,6,7,8,9,10,11,14],[2,4,6,7,8,9,10,11,15],[2,4,6,7,8,9,10,12,13],[2,4,6,7,8,9,10,12,14],[2,4,6,7,8,9,10,12,15],[2,4,6,7,8,9,10,13,14],[2,4,6,7,8,9,10,13,15],[2,4,6,7,8,9,10,14,15],[2,4,6,7,8,9,11,12,13],[2,4,6,7,8,9,11,12,14],[2,4,6,7,8,9,11,12,15],[2,4,6,7,8,9,11,13,14],[2,4,6,7,8,9,11,13,15],[2,4,6,7,8,9,11,14,15],[2,4,6,7,8,9,12,13,14],[2,4,6,7,8,9,12,13,15],[2,4,6,7,8,9,12,14,15],[2,4,6,7,8,9,13,14,15],[2,4,6,7,8,10,11,12,13],[2,4,6,7,8,10,11,12,14],[2,4,6,7,8,10,11,12,15],[2,4,6,7,8,10,11,13,14],[2,4,6,7,8,10,11,13,15],[2,4,6,7,8,10,11,14,15],[2,4,6,7,8,10,12,13,14],[2,4,6,7,8,10,12,13,15],[2,4,6,7,8,10,12,14,15],[2,4,6,7,8,10,13,14,15],[2,4,6,7,8,11,12,13,14],[2,4,6,7,8,11,12,13,15],[2,4,6,7,8,11,12,14,15],[2,4,6,7,8,11,13,14,15],[2,4,6,7,8,12,13,14,15],[2,4,6,7,9,10,11,12,13],[2,4,6,7,9,10,11,12,14],[2,4,6,7,9,10,11,12,15],[2,4,6,7,9,10,11,13,14],[2,4,6,7,9,10,11,13,15],[2,4,6,7,9,10,11,14,15],[2,4,6,7,9,10,12,13,14],[2,4,6,7,9,10,12,13,15],[2,4,6,7,9,10,12,14,15],[2,4,6,7,9,10,13,14,15],[2,4,6,7,9,11,12,13,14],[2,4,6,7,9,11,12,13,15],[2,4,6,7,9,11,12,14,15],[2,4,6,7,9,11,13,14,15],[2,4,6,7,9,12,13,14,15],[2,4,6,7,10,11,12,13,14],[2,4,6,7,10,11,12,13,15],[2,4,6,7,10,11,12,14,15],[2,4,6,7,10,11,13,14,15],[2,4,6,7,10,12,13,14,15],[2,4,6,7,11,12,13,14,15],[2,4,6,8,9,10,11,12,13],[2,4,6,8,9,10,11,12,14],[2,4,6,8,9,10,11,12,15],[2,4,6,8,9,10,11,13,14],[2,4,6,8,9,10,11,13,15],[2,4,6,8,9,10,11,14,15],[2,4,6,8,9,10,12,13,14],[2,4,6,8,9,10,12,13,15],[2,4,6,8,9,10,12,14,15],[2,4,6,8,9,10,13,14,15],[2,4,6,8,9,11,12,13,14],[2,4,6,8,9,11,12,13,15],[2,4,6,8,9,11,12,14,15],[2,4,6,8,9,11,13,14,15],[2,4,6,8,9,12,13,14,15],[2,4,6,8,10,11,12,13,14],[2,4,6,8,10,11,12,13,15],[2,4,6,8,10,11,12,14,15],[2,4,6,8,10,11,13,14,15],[2,4,6,8,10,12,13,14,15],[2,4,6,8,11,12,13,14,15],[2,4,6,9,10,11,12,13,14],[2,4,6,9,10,11,12,13,15],[2,4,6,9,10,11,12,14,15],[2,4,6,9,10,11,13,14,15],[2,4,6,9,10,12,13,14,15],[2,4,6,9,11,12,13,14,15],[2,4,6,10,11,12,13,14,15],[2,4,7,8,9,10,11,12,13],[2,4,7,8,9,10,11,12,14],[2,4,7,8,9,10,11,12,15],[2,4,7,8,9,10,11,13,14],[2,4,7,8,9,10,11,13,15],[2,4,7,8,9,10,11,14,15],[2,4,7,8,9,10,12,13,14],[2,4,7,8,9,10,12,13,15],[2,4,7,8,9,10,12,14,15],[2,4,7,8,9,10,13,14,15],[2,4,7,8,9,11,12,13,14],[2,4,7,8,9,11,12,13,15],[2,4,7,8,9,11,12,14,15],[2,4,7,8,9,11,13,14,15],[2,4,7,8,9,12,13,14,15],[2,4,7,8,10,11,12,13,14],[2,4,7,8,10,11,12,13,15],[2,4,7,8,10,11,12,14,15],[2,4,7,8,10,11,13,14,15],[2,4,7,8,10,12,13,14,15],[2,4,7,8,11,12,13,14,15],[2,4,7,9,10,11,12,13,14],[2,4,7,9,10,11,12,13,15],[2,4,7,9,10,11,12,14,15],[2,4,7,9,10,11,13,14,15],[2,4,7,9,10,12,13,14,15],[2,4,7,9,11,12,13,14,15],[2,4,7,10,11,12,13,14,15],[2,4,8,9,10,11,12,13,14],[2,4,8,9,10,11,12,13,15],[2,4,8,9,10,11,12,14,15],[2,4,8,9,10,11,13,14,15],[2,4,8,9,10,12,13,14,15],[2,4,8,9,11,12,13,14,15],[2,4,8,10,11,12,13,14,15],[2,4,9,10,11,12,13,14,15],[2,5,6,7,8,9,10,11,12],[2,5,6,7,8,9,10,11,13],[2,5,6,7,8,9,10,11,14],[2,5,6,7,8,9,10,11,15],[2,5,6,7,8,9,10,12,13],[2,5,6,7,8,9,10,12,14],[2,5,6,7,8,9,10,12,15],[2,5,6,7,8,9,10,13,14],[2,5,6,7,8,9,10,13,15],[2,5,6,7,8,9,10,14,15],[2,5,6,7,8,9,11,12,13],[2,5,6,7,8,9,11,12,14],[2,5,6,7,8,9,11,12,15],[2,5,6,7,8,9,11,13,14],[2,5,6,7,8,9,11,13,15],[2,5,6,7,8,9,11,14,15],[2,5,6,7,8,9,12,13,14],[2,5,6,7,8,9,12,13,15],[2,5,6,7,8,9,12,14,15],[2,5,6,7,8,9,13,14,15],[2,5,6,7,8,10,11,12,13],[2,5,6,7,8,10,11,12,14],[2,5,6,7,8,10,11,12,15],[2,5,6,7,8,10,11,13,14],[2,5,6,7,8,10,11,13,15],[2,5,6,7,8,10,11,14,15],[2,5,6,7,8,10,12,13,14],[2,5,6,7,8,10,12,13,15],[2,5,6,7,8,10,12,14,15],[2,5,6,7,8,10,13,14,15],[2,5,6,7,8,11,12,13,14],[2,5,6,7,8,11,12,13,15],[2,5,6,7,8,11,12,14,15],[2,5,6,7,8,11,13,14,15],[2,5,6,7,8,12,13,14,15],[2,5,6,7,9,10,11,12,13],[2,5,6,7,9,10,11,12,14],[2,5,6,7,9,10,11,12,15],[2,5,6,7,9,10,11,13,14],[2,5,6,7,9,10,11,13,15],[2,5,6,7,9,10,11,14,15],[2,5,6,7,9,10,12,13,14],[2,5,6,7,9,10,12,13,15],[2,5,6,7,9,10,12,14,15],[2,5,6,7,9,10,13,14,15],[2,5,6,7,9,11,12,13,14],[2,5,6,7,9,11,12,13,15],[2,5,6,7,9,11,12,14,15],[2,5,6,7,9,11,13,14,15],[2,5,6,7,9,12,13,14,15],[2,5,6,7,10,11,12,13,14],[2,5,6,7,10,11,12,13,15],[2,5,6,7,10,11,12,14,15],[2,5,6,7,10,11,13,14,15],[2,5,6,7,10,12,13,14,15],[2,5,6,7,11,12,13,14,15],[2,5,6,8,9,10,11,12,13],[2,5,6,8,9,10,11,12,14],[2,5,6,8,9,10,11,12,15],[2,5,6,8,9,10,11,13,14],[2,5,6,8,9,10,11,13,15],[2,5,6,8,9,10,11,14,15],[2,5,6,8,9,10,12,13,14],[2,5,6,8,9,10,12,13,15],[2,5,6,8,9,10,12,14,15],[2,5,6,8,9,10,13,14,15],[2,5,6,8,9,11,12,13,14],[2,5,6,8,9,11,12,13,15],[2,5,6,8,9,11,12,14,15],[2,5,6,8,9,11,13,14,15],[2,5,6,8,9,12,13,14,15],[2,5,6,8,10,11,12,13,14],[2,5,6,8,10,11,12,13,15],[2,5,6,8,10,11,12,14,15],[2,5,6,8,10,11,13,14,15],[2,5,6,8,10,12,13,14,15],[2,5,6,8,11,12,13,14,15],[2,5,6,9,10,11,12,13,14],[2,5,6,9,10,11,12,13,15],[2,5,6,9,10,11,12,14,15],[2,5,6,9,10,11,13,14,15],[2,5,6,9,10,12,13,14,15],[2,5,6,9,11,12,13,14,15],[2,5,6,10,11,12,13,14,15],[2,5,7,8,9,10,11,12,13],[2,5,7,8,9,10,11,12,14],[2,5,7,8,9,10,11,12,15],[2,5,7,8,9,10,11,13,14],[2,5,7,8,9,10,11,13,15],[2,5,7,8,9,10,11,14,15],[2,5,7,8,9,10,12,13,14],[2,5,7,8,9,10,12,13,15],[2,5,7,8,9,10,12,14,15],[2,5,7,8,9,10,13,14,15],[2,5,7,8,9,11,12,13,14],[2,5,7,8,9,11,12,13,15],[2,5,7,8,9,11,12,14,15],[2,5,7,8,9,11,13,14,15],[2,5,7,8,9,12,13,14,15],[2,5,7,8,10,11,12,13,14],[2,5,7,8,10,11,12,13,15],[2,5,7,8,10,11,12,14,15],[2,5,7,8,10,11,13,14,15],[2,5,7,8,10,12,13,14,15],[2,5,7,8,11,12,13,14,15],[2,5,7,9,10,11,12,13,14],[2,5,7,9,10,11,12,13,15],[2,5,7,9,10,11,12,14,15],[2,5,7,9,10,11,13,14,15],[2,5,7,9,10,12,13,14,15],[2,5,7,9,11,12,13,14,15],[2,5,7,10,11,12,13,14,15],[2,5,8,9,10,11,12,13,14],[2,5,8,9,10,11,12,13,15],[2,5,8,9,10,11,12,14,15],[2,5,8,9,10,11,13,14,15],[2,5,8,9,10,12,13,14,15],[2,5,8,9,11,12,13,14,15],[2,5,8,10,11,12,13,14,15],[2,5,9,10,11,12,13,14,15],[2,6,7,8,9,10,11,12,13],[2,6,7,8,9,10,11,12,14],[2,6,7,8,9,10,11,12,15],[2,6,7,8,9,10,11,13,14],[2,6,7,8,9,10,11,13,15],[2,6,7,8,9,10,11,14,15],[2,6,7,8,9,10,12,13,14],[2,6,7,8,9,10,12,13,15],[2,6,7,8,9,10,12,14,15],[2,6,7,8,9,10,13,14,15],[2,6,7,8,9,11,12,13,14],[2,6,7,8,9,11,12,13,15],[2,6,7,8,9,11,12,14,15],[2,6,7,8,9,11,13,14,15],[2,6,7,8,9,12,13,14,15],[2,6,7,8,10,11,12,13,14],[2,6,7,8,10,11,12,13,15],[2,6,7,8,10,11,12,14,15],[2,6,7,8,10,11,13,14,15],[2,6,7,8,10,12,13,14,15],[2,6,7,8,11,12,13,14,15],[2,6,7,9,10,11,12,13,14],[2,6,7,9,10,11,12,13,15],[2,6,7,9,10,11,12,14,15],[2,6,7,9,10,11,13,14,15],[2,6,7,9,10,12,13,14,15],[2,6,7,9,11,12,13,14,15],[2,6,7,10,11,12,13,14,15],[2,6,8,9,10,11,12,13,14],[2,6,8,9,10,11,12,13,15],[2,6,8,9,10,11,12,14,15],[2,6,8,9,10,11,13,14,15],[2,6,8,9,10,12,13,14,15],[2,6,8,9,11,12,13,14,15],[2,6,8,10,11,12,13,14,15],[2,6,9,10,11,12,13,14,15],[2,7,8,9,10,11,12,13,14],[2,7,8,9,10,11,12,13,15],[2,7,8,9,10,11,12,14,15],[2,7,8,9,10,11,13,14,15],[2,7,8,9,10,12,13,14,15],[2,7,8,9,11,12,13,14,15],[2,7,8,10,11,12,13,14,15],[2,7,9,10,11,12,13,14,15],[2,8,9,10,11,12,13,14,15],[3,4,5,6,7,8,9,10,11],[3,4,5,6,7,8,9,10,12],[3,4,5,6,7,8,9,10,13],[3,4,5,6,7,8,9,10,14],[3,4,5,6,7,8,9,10,15],[3,4,5,6,7,8,9,11,12],[3,4,5,6,7,8,9,11,13],[3,4,5,6,7,8,9,11,14],[3,4,5,6,7,8,9,11,15],[3,4,5,6,7,8,9,12,13],[3,4,5,6,7,8,9,12,14],[3,4,5,6,7,8,9,12,15],[3,4,5,6,7,8,9,13,14],[3,4,5,6,7,8,9,13,15],[3,4,5,6,7,8,9,14,15],[3,4,5,6,7,8,10,11,12],[3,4,5,6,7,8,10,11,13],[3,4,5,6,7,8,10,11,14],[3,4,5,6,7,8,10,11,15],[3,4,5,6,7,8,10,12,13],[3,4,5,6,7,8,10,12,14],[3,4,5,6,7,8,10,12,15],[3,4,5,6,7,8,10,13,14],[3,4,5,6,7,8,10,13,15],[3,4,5,6,7,8,10,14,15],[3,4,5,6,7,8,11,12,13],[3,4,5,6,7,8,11,12,14],[3,4,5,6,7,8,11,12,15],[3,4,5,6,7,8,11,13,14],[3,4,5,6,7,8,11,13,15],[3,4,5,6,7,8,11,14,15],[3,4,5,6,7,8,12,13,14],[3,4,5,6,7,8,12,13,15],[3,4,5,6,7,8,12,14,15],[3,4,5,6,7,8,13,14,15],[3,4,5,6,7,9,10,11,12],[3,4,5,6,7,9,10,11,13],[3,4,5,6,7,9,10,11,14],[3,4,5,6,7,9,10,11,15],[3,4,5,6,7,9,10,12,13],[3,4,5,6,7,9,10,12,14],[3,4,5,6,7,9,10,12,15],[3,4,5,6,7,9,10,13,14],[3,4,5,6,7,9,10,13,15],[3,4,5,6,7,9,10,14,15],[3,4,5,6,7,9,11,12,13],[3,4,5,6,7,9,11,12,14],[3,4,5,6,7,9,11,12,15],[3,4,5,6,7,9,11,13,14],[3,4,5,6,7,9,11,13,15],[3,4,5,6,7,9,11,14,15],[3,4,5,6,7,9,12,13,14],[3,4,5,6,7,9,12,13,15],[3,4,5,6,7,9,12,14,15],[3,4,5,6,7,9,13,14,15],[3,4,5,6,7,10,11,12,13],[3,4,5,6,7,10,11,12,14],[3,4,5,6,7,10,11,12,15],[3,4,5,6,7,10,11,13,14],[3,4,5,6,7,10,11,13,15],[3,4,5,6,7,10,11,14,15],[3,4,5,6,7,10,12,13,14],[3,4,5,6,7,10,12,13,15],[3,4,5,6,7,10,12,14,15],[3,4,5,6,7,10,13,14,15],[3,4,5,6,7,11,12,13,14],[3,4,5,6,7,11,12,13,15],[3,4,5,6,7,11,12,14,15],[3,4,5,6,7,11,13,14,15],[3,4,5,6,7,12,13,14,15],[3,4,5,6,8,9,10,11,12],[3,4,5,6,8,9,10,11,13],[3,4,5,6,8,9,10,11,14],[3,4,5,6,8,9,10,11,15],[3,4,5,6,8,9,10,12,13],[3,4,5,6,8,9,10,12,14],[3,4,5,6,8,9,10,12,15],[3,4,5,6,8,9,10,13,14],[3,4,5,6,8,9,10,13,15],[3,4,5,6,8,9,10,14,15],[3,4,5,6,8,9,11,12,13],[3,4,5,6,8,9,11,12,14],[3,4,5,6,8,9,11,12,15],[3,4,5,6,8,9,11,13,14],[3,4,5,6,8,9,11,13,15],[3,4,5,6,8,9,11,14,15],[3,4,5,6,8,9,12,13,14],[3,4,5,6,8,9,12,13,15],[3,4,5,6,8,9,12,14,15],[3,4,5,6,8,9,13,14,15],[3,4,5,6,8,10,11,12,13],[3,4,5,6,8,10,11,12,14],[3,4,5,6,8,10,11,12,15],[3,4,5,6,8,10,11,13,14],[3,4,5,6,8,10,11,13,15],[3,4,5,6,8,10,11,14,15],[3,4,5,6,8,10,12,13,14],[3,4,5,6,8,10,12,13,15],[3,4,5,6,8,10,12,14,15],[3,4,5,6,8,10,13,14,15],[3,4,5,6,8,11,12,13,14],[3,4,5,6,8,11,12,13,15],[3,4,5,6,8,11,12,14,15],[3,4,5,6,8,11,13,14,15],[3,4,5,6,8,12,13,14,15],[3,4,5,6,9,10,11,12,13],[3,4,5,6,9,10,11,12,14],[3,4,5,6,9,10,11,12,15],[3,4,5,6,9,10,11,13,14],[3,4,5,6,9,10,11,13,15],[3,4,5,6,9,10,11,14,15],[3,4,5,6,9,10,12,13,14],[3,4,5,6,9,10,12,13,15],[3,4,5,6,9,10,12,14,15],[3,4,5,6,9,10,13,14,15],[3,4,5,6,9,11,12,13,14],[3,4,5,6,9,11,12,13,15],[3,4,5,6,9,11,12,14,15],[3,4,5,6,9,11,13,14,15],[3,4,5,6,9,12,13,14,15],[3,4,5,6,10,11,12,13,14],[3,4,5,6,10,11,12,13,15],[3,4,5,6,10,11,12,14,15],[3,4,5,6,10,11,13,14,15],[3,4,5,6,10,12,13,14,15],[3,4,5,6,11,12,13,14,15],[3,4,5,7,8,9,10,11,12],[3,4,5,7,8,9,10,11,13],[3,4,5,7,8,9,10,11,14],[3,4,5,7,8,9,10,11,15],[3,4,5,7,8,9,10,12,13],[3,4,5,7,8,9,10,12,14],[3,4,5,7,8,9,10,12,15],[3,4,5,7,8,9,10,13,14],[3,4,5,7,8,9,10,13,15],[3,4,5,7,8,9,10,14,15],[3,4,5,7,8,9,11,12,13],[3,4,5,7,8,9,11,12,14],[3,4,5,7,8,9,11,12,15],[3,4,5,7,8,9,11,13,14],[3,4,5,7,8,9,11,13,15],[3,4,5,7,8,9,11,14,15],[3,4,5,7,8,9,12,13,14],[3,4,5,7,8,9,12,13,15],[3,4,5,7,8,9,12,14,15],[3,4,5,7,8,9,13,14,15],[3,4,5,7,8,10,11,12,13],[3,4,5,7,8,10,11,12,14],[3,4,5,7,8,10,11,12,15],[3,4,5,7,8,10,11,13,14],[3,4,5,7,8,10,11,13,15],[3,4,5,7,8,10,11,14,15],[3,4,5,7,8,10,12,13,14],[3,4,5,7,8,10,12,13,15],[3,4,5,7,8,10,12,14,15],[3,4,5,7,8,10,13,14,15],[3,4,5,7,8,11,12,13,14],[3,4,5,7,8,11,12,13,15],[3,4,5,7,8,11,12,14,15],[3,4,5,7,8,11,13,14,15],[3,4,5,7,8,12,13,14,15],[3,4,5,7,9,10,11,12,13],[3,4,5,7,9,10,11,12,14],[3,4,5,7,9,10,11,12,15],[3,4,5,7,9,10,11,13,14],[3,4,5,7,9,10,11,13,15],[3,4,5,7,9,10,11,14,15],[3,4,5,7,9,10,12,13,14],[3,4,5,7,9,10,12,13,15],[3,4,5,7,9,10,12,14,15],[3,4,5,7,9,10,13,14,15],[3,4,5,7,9,11,12,13,14],[3,4,5,7,9,11,12,13,15],[3,4,5,7,9,11,12,14,15],[3,4,5,7,9,11,13,14,15],[3,4,5,7,9,12,13,14,15],[3,4,5,7,10,11,12,13,14],[3,4,5,7,10,11,12,13,15],[3,4,5,7,10,11,12,14,15],[3,4,5,7,10,11,13,14,15],[3,4,5,7,10,12,13,14,15],[3,4,5,7,11,12,13,14,15],[3,4,5,8,9,10,11,12,13],[3,4,5,8,9,10,11,12,14],[3,4,5,8,9,10,11,12,15],[3,4,5,8,9,10,11,13,14],[3,4,5,8,9,10,11,13,15],[3,4,5,8,9,10,11,14,15],[3,4,5,8,9,10,12,13,14],[3,4,5,8,9,10,12,13,15],[3,4,5,8,9,10,12,14,15],[3,4,5,8,9,10,13,14,15],[3,4,5,8,9,11,12,13,14],[3,4,5,8,9,11,12,13,15],[3,4,5,8,9,11,12,14,15],[3,4,5,8,9,11,13,14,15],[3,4,5,8,9,12,13,14,15],[3,4,5,8,10,11,12,13,14],[3,4,5,8,10,11,12,13,15],[3,4,5,8,10,11,12,14,15],[3,4,5,8,10,11,13,14,15],[3,4,5,8,10,12,13,14,15],[3,4,5,8,11,12,13,14,15],[3,4,5,9,10,11,12,13,14],[3,4,5,9,10,11,12,13,15],[3,4,5,9,10,11,12,14,15],[3,4,5,9,10,11,13,14,15],[3,4,5,9,10,12,13,14,15],[3,4,5,9,11,12,13,14,15],[3,4,5,10,11,12,13,14,15],[3,4,6,7,8,9,10,11,12],[3,4,6,7,8,9,10,11,13],[3,4,6,7,8,9,10,11,14],[3,4,6,7,8,9,10,11,15],[3,4,6,7,8,9,10,12,13],[3,4,6,7,8,9,10,12,14],[3,4,6,7,8,9,10,12,15],[3,4,6,7,8,9,10,13,14],[3,4,6,7,8,9,10,13,15],[3,4,6,7,8,9,10,14,15],[3,4,6,7,8,9,11,12,13],[3,4,6,7,8,9,11,12,14],[3,4,6,7,8,9,11,12,15],[3,4,6,7,8,9,11,13,14],[3,4,6,7,8,9,11,13,15],[3,4,6,7,8,9,11,14,15],[3,4,6,7,8,9,12,13,14],[3,4,6,7,8,9,12,13,15],[3,4,6,7,8,9,12,14,15],[3,4,6,7,8,9,13,14,15],[3,4,6,7,8,10,11,12,13],[3,4,6,7,8,10,11,12,14],[3,4,6,7,8,10,11,12,15],[3,4,6,7,8,10,11,13,14],[3,4,6,7,8,10,11,13,15],[3,4,6,7,8,10,11,14,15],[3,4,6,7,8,10,12,13,14],[3,4,6,7,8,10,12,13,15],[3,4,6,7,8,10,12,14,15],[3,4,6,7,8,10,13,14,15],[3,4,6,7,8,11,12,13,14],[3,4,6,7,8,11,12,13,15],[3,4,6,7,8,11,12,14,15],[3,4,6,7,8,11,13,14,15],[3,4,6,7,8,12,13,14,15],[3,4,6,7,9,10,11,12,13],[3,4,6,7,9,10,11,12,14],[3,4,6,7,9,10,11,12,15],[3,4,6,7,9,10,11,13,14],[3,4,6,7,9,10,11,13,15],[3,4,6,7,9,10,11,14,15],[3,4,6,7,9,10,12,13,14],[3,4,6,7,9,10,12,13,15],[3,4,6,7,9,10,12,14,15],[3,4,6,7,9,10,13,14,15],[3,4,6,7,9,11,12,13,14],[3,4,6,7,9,11,12,13,15],[3,4,6,7,9,11,12,14,15],[3,4,6,7,9,11,13,14,15],[3,4,6,7,9,12,13,14,15],[3,4,6,7,10,11,12,13,14],[3,4,6,7,10,11,12,13,15],[3,4,6,7,10,11,12,14,15],[3,4,6,7,10,11,13,14,15],[3,4,6,7,10,12,13,14,15],[3,4,6,7,11,12,13,14,15],[3,4,6,8,9,10,11,12,13],[3,4,6,8,9,10,11,12,14],[3,4,6,8,9,10,11,12,15],[3,4,6,8,9,10,11,13,14],[3,4,6,8,9,10,11,13,15],[3,4,6,8,9,10,11,14,15],[3,4,6,8,9,10,12,13,14],[3,4,6,8,9,10,12,13,15],[3,4,6,8,9,10,12,14,15],[3,4,6,8,9,10,13,14,15],[3,4,6,8,9,11,12,13,14],[3,4,6,8,9,11,12,13,15],[3,4,6,8,9,11,12,14,15],[3,4,6,8,9,11,13,14,15],[3,4,6,8,9,12,13,14,15],[3,4,6,8,10,11,12,13,14],[3,4,6,8,10,11,12,13,15],[3,4,6,8,10,11,12,14,15],[3,4,6,8,10,11,13,14,15],[3,4,6,8,10,12,13,14,15],[3,4,6,8,11,12,13,14,15],[3,4,6,9,10,11,12,13,14],[3,4,6,9,10,11,12,13,15],[3,4,6,9,10,11,12,14,15],[3,4,6,9,10,11,13,14,15],[3,4,6,9,10,12,13,14,15],[3,4,6,9,11,12,13,14,15],[3,4,6,10,11,12,13,14,15],[3,4,7,8,9,10,11,12,13],[3,4,7,8,9,10,11,12,14],[3,4,7,8,9,10,11,12,15],[3,4,7,8,9,10,11,13,14],[3,4,7,8,9,10,11,13,15],[3,4,7,8,9,10,11,14,15],[3,4,7,8,9,10,12,13,14],[3,4,7,8,9,10,12,13,15],[3,4,7,8,9,10,12,14,15],[3,4,7,8,9,10,13,14,15],[3,4,7,8,9,11,12,13,14],[3,4,7,8,9,11,12,13,15],[3,4,7,8,9,11,12,14,15],[3,4,7,8,9,11,13,14,15],[3,4,7,8,9,12,13,14,15],[3,4,7,8,10,11,12,13,14],[3,4,7,8,10,11,12,13,15],[3,4,7,8,10,11,12,14,15],[3,4,7,8,10,11,13,14,15],[3,4,7,8,10,12,13,14,15],[3,4,7,8,11,12,13,14,15],[3,4,7,9,10,11,12,13,14],[3,4,7,9,10,11,12,13,15],[3,4,7,9,10,11,12,14,15],[3,4,7,9,10,11,13,14,15],[3,4,7,9,10,12,13,14,15],[3,4,7,9,11,12,13,14,15],[3,4,7,10,11,12,13,14,15],[3,4,8,9,10,11,12,13,14],[3,4,8,9,10,11,12,13,15],[3,4,8,9,10,11,12,14,15],[3,4,8,9,10,11,13,14,15],[3,4,8,9,10,12,13,14,15],[3,4,8,9,11,12,13,14,15],[3,4,8,10,11,12,13,14,15],[3,4,9,10,11,12,13,14,15],[3,5,6,7,8,9,10,11,12],[3,5,6,7,8,9,10,11,13],[3,5,6,7,8,9,10,11,14],[3,5,6,7,8,9,10,11,15],[3,5,6,7,8,9,10,12,13],[3,5,6,7,8,9,10,12,14],[3,5,6,7,8,9,10,12,15],[3,5,6,7,8,9,10,13,14],[3,5,6,7,8,9,10,13,15],[3,5,6,7,8,9,10,14,15],[3,5,6,7,8,9,11,12,13],[3,5,6,7,8,9,11,12,14],[3,5,6,7,8,9,11,12,15],[3,5,6,7,8,9,11,13,14],[3,5,6,7,8,9,11,13,15],[3,5,6,7,8,9,11,14,15],[3,5,6,7,8,9,12,13,14],[3,5,6,7,8,9,12,13,15],[3,5,6,7,8,9,12,14,15],[3,5,6,7,8,9,13,14,15],[3,5,6,7,8,10,11,12,13],[3,5,6,7,8,10,11,12,14],[3,5,6,7,8,10,11,12,15],[3,5,6,7,8,10,11,13,14],[3,5,6,7,8,10,11,13,15],[3,5,6,7,8,10,11,14,15],[3,5,6,7,8,10,12,13,14],[3,5,6,7,8,10,12,13,15],[3,5,6,7,8,10,12,14,15],[3,5,6,7,8,10,13,14,15],[3,5,6,7,8,11,12,13,14],[3,5,6,7,8,11,12,13,15],[3,5,6,7,8,11,12,14,15],[3,5,6,7,8,11,13,14,15],[3,5,6,7,8,12,13,14,15],[3,5,6,7,9,10,11,12,13],[3,5,6,7,9,10,11,12,14],[3,5,6,7,9,10,11,12,15],[3,5,6,7,9,10,11,13,14],[3,5,6,7,9,10,11,13,15],[3,5,6,7,9,10,11,14,15],[3,5,6,7,9,10,12,13,14],[3,5,6,7,9,10,12,13,15],[3,5,6,7,9,10,12,14,15],[3,5,6,7,9,10,13,14,15],[3,5,6,7,9,11,12,13,14],[3,5,6,7,9,11,12,13,15],[3,5,6,7,9,11,12,14,15],[3,5,6,7,9,11,13,14,15],[3,5,6,7,9,12,13,14,15],[3,5,6,7,10,11,12,13,14],[3,5,6,7,10,11,12,13,15],[3,5,6,7,10,11,12,14,15],[3,5,6,7,10,11,13,14,15],[3,5,6,7,10,12,13,14,15],[3,5,6,7,11,12,13,14,15],[3,5,6,8,9,10,11,12,13],[3,5,6,8,9,10,11,12,14],[3,5,6,8,9,10,11,12,15],[3,5,6,8,9,10,11,13,14],[3,5,6,8,9,10,11,13,15],[3,5,6,8,9,10,11,14,15],[3,5,6,8,9,10,12,13,14],[3,5,6,8,9,10,12,13,15],[3,5,6,8,9,10,12,14,15],[3,5,6,8,9,10,13,14,15],[3,5,6,8,9,11,12,13,14],[3,5,6,8,9,11,12,13,15],[3,5,6,8,9,11,12,14,15],[3,5,6,8,9,11,13,14,15],[3,5,6,8,9,12,13,14,15],[3,5,6,8,10,11,12,13,14],[3,5,6,8,10,11,12,13,15],[3,5,6,8,10,11,12,14,15],[3,5,6,8,10,11,13,14,15],[3,5,6,8,10,12,13,14,15],[3,5,6,8,11,12,13,14,15],[3,5,6,9,10,11,12,13,14],[3,5,6,9,10,11,12,13,15],[3,5,6,9,10,11,12,14,15],[3,5,6,9,10,11,13,14,15],[3,5,6,9,10,12,13,14,15],[3,5,6,9,11,12,13,14,15],[3,5,6,10,11,12,13,14,15],[3,5,7,8,9,10,11,12,13],[3,5,7,8,9,10,11,12,14],[3,5,7,8,9,10,11,12,15],[3,5,7,8,9,10,11,13,14],[3,5,7,8,9,10,11,13,15],[3,5,7,8,9,10,11,14,15],[3,5,7,8,9,10,12,13,14],[3,5,7,8,9,10,12,13,15],[3,5,7,8,9,10,12,14,15],[3,5,7,8,9,10,13,14,15],[3,5,7,8,9,11,12,13,14],[3,5,7,8,9,11,12,13,15],[3,5,7,8,9,11,12,14,15],[3,5,7,8,9,11,13,14,15],[3,5,7,8,9,12,13,14,15],[3,5,7,8,10,11,12,13,14],[3,5,7,8,10,11,12,13,15],[3,5,7,8,10,11,12,14,15],[3,5,7,8,10,11,13,14,15],[3,5,7,8,10,12,13,14,15],[3,5,7,8,11,12,13,14,15],[3,5,7,9,10,11,12,13,14],[3,5,7,9,10,11,12,13,15],[3,5,7,9,10,11,12,14,15],[3,5,7,9,10,11,13,14,15],[3,5,7,9,10,12,13,14,15],[3,5,7,9,11,12,13,14,15],[3,5,7,10,11,12,13,14,15],[3,5,8,9,10,11,12,13,14],[3,5,8,9,10,11,12,13,15],[3,5,8,9,10,11,12,14,15],[3,5,8,9,10,11,13,14,15],[3,5,8,9,10,12,13,14,15],[3,5,8,9,11,12,13,14,15],[3,5,8,10,11,12,13,14,15],[3,5,9,10,11,12,13,14,15],[3,6,7,8,9,10,11,12,13],[3,6,7,8,9,10,11,12,14],[3,6,7,8,9,10,11,12,15],[3,6,7,8,9,10,11,13,14],[3,6,7,8,9,10,11,13,15],[3,6,7,8,9,10,11,14,15],[3,6,7,8,9,10,12,13,14],[3,6,7,8,9,10,12,13,15],[3,6,7,8,9,10,12,14,15],[3,6,7,8,9,10,13,14,15],[3,6,7,8,9,11,12,13,14],[3,6,7,8,9,11,12,13,15],[3,6,7,8,9,11,12,14,15],[3,6,7,8,9,11,13,14,15],[3,6,7,8,9,12,13,14,15],[3,6,7,8,10,11,12,13,14],[3,6,7,8,10,11,12,13,15],[3,6,7,8,10,11,12,14,15],[3,6,7,8,10,11,13,14,15],[3,6,7,8,10,12,13,14,15],[3,6,7,8,11,12,13,14,15],[3,6,7,9,10,11,12,13,14],[3,6,7,9,10,11,12,13,15],[3,6,7,9,10,11,12,14,15],[3,6,7,9,10,11,13,14,15],[3,6,7,9,10,12,13,14,15],[3,6,7,9,11,12,13,14,15],[3,6,7,10,11,12,13,14,15],[3,6,8,9,10,11,12,13,14],[3,6,8,9,10,11,12,13,15],[3,6,8,9,10,11,12,14,15],[3,6,8,9,10,11,13,14,15],[3,6,8,9,10,12,13,14,15],[3,6,8,9,11,12,13,14,15],[3,6,8,10,11,12,13,14,15],[3,6,9,10,11,12,13,14,15],[3,7,8,9,10,11,12,13,14],[3,7,8,9,10,11,12,13,15],[3,7,8,9,10,11,12,14,15],[3,7,8,9,10,11,13,14,15],[3,7,8,9,10,12,13,14,15],[3,7,8,9,11,12,13,14,15],[3,7,8,10,11,12,13,14,15],[3,7,9,10,11,12,13,14,15],[3,8,9,10,11,12,13,14,15],[4,5,6,7,8,9,10,11,12],[4,5,6,7,8,9,10,11,13],[4,5,6,7,8,9,10,11,14],[4,5,6,7,8,9,10,11,15],[4,5,6,7,8,9,10,12,13],[4,5,6,7,8,9,10,12,14],[4,5,6,7,8,9,10,12,15],[4,5,6,7,8,9,10,13,14],[4,5,6,7,8,9,10,13,15],[4,5,6,7,8,9,10,14,15],[4,5,6,7,8,9,11,12,13],[4,5,6,7,8,9,11,12,14],[4,5,6,7,8,9,11,12,15],[4,5,6,7,8,9,11,13,14],[4,5,6,7,8,9,11,13,15],[4,5,6,7,8,9,11,14,15],[4,5,6,7,8,9,12,13,14],[4,5,6,7,8,9,12,13,15],[4,5,6,7,8,9,12,14,15],[4,5,6,7,8,9,13,14,15],[4,5,6,7,8,10,11,12,13],[4,5,6,7,8,10,11,12,14],[4,5,6,7,8,10,11,12,15],[4,5,6,7,8,10,11,13,14],[4,5,6,7,8,10,11,13,15],[4,5,6,7,8,10,11,14,15],[4,5,6,7,8,10,12,13,14],[4,5,6,7,8,10,12,13,15],[4,5,6,7,8,10,12,14,15],[4,5,6,7,8,10,13,14,15],[4,5,6,7,8,11,12,13,14],[4,5,6,7,8,11,12,13,15],[4,5,6,7,8,11,12,14,15],[4,5,6,7,8,11,13,14,15],[4,5,6,7,8,12,13,14,15],[4,5,6,7,9,10,11,12,13],[4,5,6,7,9,10,11,12,14],[4,5,6,7,9,10,11,12,15],[4,5,6,7,9,10,11,13,14],[4,5,6,7,9,10,11,13,15],[4,5,6,7,9,10,11,14,15],[4,5,6,7,9,10,12,13,14],[4,5,6,7,9,10,12,13,15],[4,5,6,7,9,10,12,14,15],[4,5,6,7,9,10,13,14,15],[4,5,6,7,9,11,12,13,14],[4,5,6,7,9,11,12,13,15],[4,5,6,7,9,11,12,14,15],[4,5,6,7,9,11,13,14,15],[4,5,6,7,9,12,13,14,15],[4,5,6,7,10,11,12,13,14],[4,5,6,7,10,11,12,13,15],[4,5,6,7,10,11,12,14,15],[4,5,6,7,10,11,13,14,15],[4,5,6,7,10,12,13,14,15],[4,5,6,7,11,12,13,14,15],[4,5,6,8,9,10,11,12,13],[4,5,6,8,9,10,11,12,14],[4,5,6,8,9,10,11,12,15],[4,5,6,8,9,10,11,13,14],[4,5,6,8,9,10,11,13,15],[4,5,6,8,9,10,11,14,15],[4,5,6,8,9,10,12,13,14],[4,5,6,8,9,10,12,13,15],[4,5,6,8,9,10,12,14,15],[4,5,6,8,9,10,13,14,15],[4,5,6,8,9,11,12,13,14],[4,5,6,8,9,11,12,13,15],[4,5,6,8,9,11,12,14,15],[4,5,6,8,9,11,13,14,15],[4,5,6,8,9,12,13,14,15],[4,5,6,8,10,11,12,13,14],[4,5,6,8,10,11,12,13,15],[4,5,6,8,10,11,12,14,15],[4,5,6,8,10,11,13,14,15],[4,5,6,8,10,12,13,14,15],[4,5,6,8,11,12,13,14,15],[4,5,6,9,10,11,12,13,14],[4,5,6,9,10,11,12,13,15],[4,5,6,9,10,11,12,14,15],[4,5,6,9,10,11,13,14,15],[4,5,6,9,10,12,13,14,15],[4,5,6,9,11,12,13,14,15],[4,5,6,10,11,12,13,14,15],[4,5,7,8,9,10,11,12,13],[4,5,7,8,9,10,11,12,14],[4,5,7,8,9,10,11,12,15],[4,5,7,8,9,10,11,13,14],[4,5,7,8,9,10,11,13,15],[4,5,7,8,9,10,11,14,15],[4,5,7,8,9,10,12,13,14],[4,5,7,8,9,10,12,13,15],[4,5,7,8,9,10,12,14,15],[4,5,7,8,9,10,13,14,15],[4,5,7,8,9,11,12,13,14],[4,5,7,8,9,11,12,13,15],[4,5,7,8,9,11,12,14,15],[4,5,7,8,9,11,13,14,15],[4,5,7,8,9,12,13,14,15],[4,5,7,8,10,11,12,13,14],[4,5,7,8,10,11,12,13,15],[4,5,7,8,10,11,12,14,15],[4,5,7,8,10,11,13,14,15],[4,5,7,8,10,12,13,14,15],[4,5,7,8,11,12,13,14,15],[4,5,7,9,10,11,12,13,14],[4,5,7,9,10,11,12,13,15],[4,5,7,9,10,11,12,14,15],[4,5,7,9,10,11,13,14,15],[4,5,7,9,10,12,13,14,15],[4,5,7,9,11,12,13,14,15],[4,5,7,10,11,12,13,14,15],[4,5,8,9,10,11,12,13,14],[4,5,8,9,10,11,12,13,15],[4,5,8,9,10,11,12,14,15],[4,5,8,9,10,11,13,14,15],[4,5,8,9,10,12,13,14,15],[4,5,8,9,11,12,13,14,15],[4,5,8,10,11,12,13,14,15],[4,5,9,10,11,12,13,14,15],[4,6,7,8,9,10,11,12,13],[4,6,7,8,9,10,11,12,14],[4,6,7,8,9,10,11,12,15],[4,6,7,8,9,10,11,13,14],[4,6,7,8,9,10,11,13,15],[4,6,7,8,9,10,11,14,15],[4,6,7,8,9,10,12,13,14],[4,6,7,8,9,10,12,13,15],[4,6,7,8,9,10,12,14,15],[4,6,7,8,9,10,13,14,15],[4,6,7,8,9,11,12,13,14],[4,6,7,8,9,11,12,13,15],[4,6,7,8,9,11,12,14,15],[4,6,7,8,9,11,13,14,15],[4,6,7,8,9,12,13,14,15],[4,6,7,8,10,11,12,13,14],[4,6,7,8,10,11,12,13,15],[4,6,7,8,10,11,12,14,15],[4,6,7,8,10,11,13,14,15],[4,6,7,8,10,12,13,14,15],[4,6,7,8,11,12,13,14,15],[4,6,7,9,10,11,12,13,14],[4,6,7,9,10,11,12,13,15],[4,6,7,9,10,11,12,14,15],[4,6,7,9,10,11,13,14,15],[4,6,7,9,10,12,13,14,15],[4,6,7,9,11,12,13,14,15],[4,6,7,10,11,12,13,14,15],[4,6,8,9,10,11,12,13,14],[4,6,8,9,10,11,12,13,15],[4,6,8,9,10,11,12,14,15],[4,6,8,9,10,11,13,14,15],[4,6,8,9,10,12,13,14,15],[4,6,8,9,11,12,13,14,15],[4,6,8,10,11,12,13,14,15],[4,6,9,10,11,12,13,14,15],[4,7,8,9,10,11,12,13,14],[4,7,8,9,10,11,12,13,15],[4,7,8,9,10,11,12,14,15],[4,7,8,9,10,11,13,14,15],[4,7,8,9,10,12,13,14,15],[4,7,8,9,11,12,13,14,15],[4,7,8,10,11,12,13,14,15],[4,7,9,10,11,12,13,14,15],[4,8,9,10,11,12,13,14,15],[5,6,7,8,9,10,11,12,13],[5,6,7,8,9,10,11,12,14],[5,6,7,8,9,10,11,12,15],[5,6,7,8,9,10,11,13,14],[5,6,7,8,9,10,11,13,15],[5,6,7,8,9,10,11,14,15],[5,6,7,8,9,10,12,13,14],[5,6,7,8,9,10,12,13,15],[5,6,7,8,9,10,12,14,15],[5,6,7,8,9,10,13,14,15],[5,6,7,8,9,11,12,13,14],[5,6,7,8,9,11,12,13,15],[5,6,7,8,9,11,12,14,15],[5,6,7,8,9,11,13,14,15],[5,6,7,8,9,12,13,14,15],[5,6,7,8,10,11,12,13,14],[5,6,7,8,10,11,12,13,15],[5,6,7,8,10,11,12,14,15],[5,6,7,8,10,11,13,14,15],[5,6,7,8,10,12,13,14,15],[5,6,7,8,11,12,13,14,15],[5,6,7,9,10,11,12,13,14],[5,6,7,9,10,11,12,13,15],[5,6,7,9,10,11,12,14,15],[5,6,7,9,10,11,13,14,15],[5,6,7,9,10,12,13,14,15],[5,6,7,9,11,12,13,14,15],[5,6,7,10,11,12,13,14,15],[5,6,8,9,10,11,12,13,14],[5,6,8,9,10,11,12,13,15],[5,6,8,9,10,11,12,14,15],[5,6,8,9,10,11,13,14,15],[5,6,8,9,10,12,13,14,15],[5,6,8,9,11,12,13,14,15],[5,6,8,10,11,12,13,14,15],[5,6,9,10,11,12,13,14,15],[5,7,8,9,10,11,12,13,14],[5,7,8,9,10,11,12,13,15],[5,7,8,9,10,11,12,14,15],[5,7,8,9,10,11,13,14,15],[5,7,8,9,10,12,13,14,15],[5,7,8,9,11,12,13,14,15],[5,7,8,10,11,12,13,14,15],[5,7,9,10,11,12,13,14,15],[5,8,9,10,11,12,13,14,15],[6,7,8,9,10,11,12,13,14],[6,7,8,9,10,11,12,13,15],[6,7,8,9,10,11,12,14,15],[6,7,8,9,10,11,13,14,15],[6,7,8,9,10,12,13,14,15],[6,7,8,9,11,12,13,14,15],[6,7,8,10,11,12,13,14,15],[6,7,9,10,11,12,13,14,15],[6,8,9,10,11,12,13,14,15],[7],[7,8,9,10,11,12,13,14,15],[8],[9],[10],[11],[12],[13],[14],[15]]},"distance":{"d":2,"is_exact":true,"upper":2,"witness":[36,120],"A_d":160923,"certified":null},"clifford":{"kind":"powers","correction":{"S":[[0,3],[1,3],[2,3],[3,3],[4,3],[5,3],[6,3],[7,2],[8,2],[9,2],[10,2],[11,2],[12,2],[13,2],[14,2],[15,2]],"CZ":[]},"rotation_powers":[[0,7],[1,7],[2,5],[3,5],[4,5],[5,5],[6,5],[7,5],[8,7],[36,3],[120,3],[330,3],[792,3],[1716,3],[3432,3],[6435,3],[11439,3],[11441,3],[11442,3]]},"metrics":{"gamma":10.67557905074469,"gamma_t":null,"gamma_rho":10.67557905074469,"gamma_claim":10.67557905074469,"gamma_t_claim":null,"gamma_rho_claim":10.67557905074469,"v_ex":7,"rate":0.0006114071097912482,"t_count":null,"poly_degree":null,"effective_width":7},"provenance":{"regimes":["borrowed-identity search: two-group"],"discovery":"pre-existing","strongest_claim":"found by the two-group borrowed-identity search of Singh, Gidney and Jones (arXiv:2606.28518; borrowed_identities/): an identity circuit symmetric within its output and check blocks, with its output-only gates removed; a verified witness, not a maximum","sources":[{"regime":"borrowed-identity search: two-group","file":"borrowed_identities/circuits/large_unified_l3.json","label":"lu-0814","N":16,"d":2,"d_is_exact":true,"origin":"https://github.com/shraggy/Magic_state_factory_search at ae9fbf8, outputs/large_unified_factories_l3.csv line 814","provenance":"larger unified search l=3, two-group s_total=8,s_O=1"}]},"references":[{"key":"singh2026borrowed","short":"Singh et al. (2026)","full":"S. Singh, C. Gidney, and C. Jones, \"Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search,\" arXiv:2606.28518 (2026).","url":"https://arxiv.org/abs/2606.28518","date":"2026-06-26"}]}