stats.backup

(1, 0, 0, (0, 0, 0), 0): (42970, 93186)
(1, 0, 0, (0, 0, 0), 1): (750, 1339)
(1, 0, 0, (0, 0, 0), 2): (255, 373)
(1, 0, 0, (0, 0, 0), 3): (182, 261)
(1, 0, 0, (0, 0, 0), 4): (90, 112)
(1, 0, 0, (0, 0, 0), 5): (18, 21)
(1, 0, 0, (0, 0, 0), 6): (6, 6)
(1, 0, 0, (0, 0, 0), 8): (1, 1)
(1, 0, 0, (0, 0, 1), 0): (821, 1484)
(1, 0, 0, (0, 0, 1), 1): (201, 313)
(1, 0, 0, (0, 0, 1), 2): (62, 89)
(1, 0, 0, (0, 0, 1), 3): (19, 23)
(1, 0, 0, (0, 0, 1), 4): (6, 8)
(1, 0, 0, (0, 0, 1), 5): (3, 4)
(1, 0, 0, (0, 0, 1), 6): (2, 2)
(1, 0, 0, (0, 0, 1), 7): (1, 1)
(1, 0, 0, (0, 1, 0), 0): (4062, 7642)
(1, 0, 0, (0, 1, 0), 1): (499, 816)
(1, 0, 0, (0, 1, 0), 2): (185, 263)
(1, 0, 0, (0, 1, 0), 3): (62, 84)
(1, 0, 0, (0, 1, 0), 4): (23, 25)
(1, 0, 0, (0, 1, 0), 5): (9, 9)
(1, 0, 0, (0, 1, 0), 6): (7, 7)
(1, 0, 0, (0, 1, 0), 7): (1, 1)
(1, 0, 0, (0, 1, 1), 0): (598, 990)
(1, 0, 0, (0, 1, 1), 1): (240, 323)
(1, 0, 0, (0, 1, 1), 2): (73, 96)
(1, 0, 0, (0, 1, 1), 3): (32, 41)
(1, 0, 0, (0, 1, 1), 4): (7, 10)
(1, 0, 0, (0, 1, 1), 5): (1, 1)
(1, 0, 0, (1, 0, 0), 0): (12318, 24397)
(1, 0, 0, (1, 0, 0), 1): (583, 994)
(1, 0, 0, (1, 0, 0), 2): (182, 260)
(1, 0, 0, (1, 0, 0), 3): (75, 106)
(1, 0, 0, (1, 0, 0), 4): (41, 49)
(1, 0, 0, (1, 0, 0), 5): (8, 9)
(1, 0, 0, (1, 0, 0), 6): (1, 2)
(1, 0, 0, (1, 0, 0), 7): (2, 2)
(1, 0, 0, (1, 0, 1), 0): (1330, 2310)
(1, 0, 0, (1, 0, 1), 1): (368, 560)
(1, 0, 0, (1, 0, 1), 2): (131, 173)
(1, 0, 0, (1, 0, 1), 3): (34, 42)
(1, 0, 0, (1, 0, 1), 4): (13, 13)
(1, 0, 0, (1, 0, 1), 5): (5, 5)
(1, 0, 0, (1, 0, 1), 7): (1, 1)
(1, 0, 0, (1, 1, 0), 0): (2490, 4414)
(1, 0, 0, (1, 1, 0), 1): (464, 722)
(1, 0, 0, (1, 1, 0), 2): (183, 233)
(1, 0, 0, (1, 1, 0), 3): (52, 70)
(1, 0, 0, (1, 1, 0), 4): (25, 27)
(1, 0, 0, (1, 1, 0), 5): (5, 5)
(1, 0, 0, (1, 1, 0), 6): (5, 5)
(1, 0, 0, (1, 1, 1), 0): (556, 870)
(1, 0, 0, (1, 1, 1), 1): (204, 293)
(1, 0, 0, (1, 1, 1), 2): (86, 102)
(1, 0, 0, (1, 1, 1), 3): (30, 31)
(1, 0, 0, (1, 1, 1), 4): (13, 13)
(1, 0, 0, (1, 1, 1), 5): (5, 5)
(1, 0, 0, (1, 1, 1), 6): (1, 1)
(1, 0, 0, (1, 1, 1), 7): (1, 1)
(1, 0, 1, (0, 0, 0), 0): (28182, 64509)
(1, 0, 1, (0, 0, 0), 1): (1304, 2383)
(1, 0, 1, (0, 0, 0), 2): (905, 1392)
(1, 0, 1, (0, 0, 0), 3): (565, 813)
(1, 0, 1, (0, 0, 0), 4): (260, 327)
(1, 0, 1, (0, 0, 0), 5): (100, 115)
(1, 0, 1, (0, 0, 0), 6): (30, 31)
(1, 0, 1, (0, 0, 0), 7): (3, 3)
(1, 0, 1, (0, 0, 0), 8): (1, 1)
(1, 0, 1, (0, 0, 0), 9): (3, 4)
(1, 0, 1, (0, 0, 1), 0): (2144, 4101)
(1, 0, 1, (0, 0, 1), 1): (575, 955)
(1, 0, 1, (0, 0, 1), 2): (245, 359)
(1, 0, 1, (0, 0, 1), 3): (97, 129)
(1, 0, 1, (0, 0, 1), 4): (41, 49)
(1, 0, 1, (0, 0, 1), 5): (17, 19)
(1, 0, 1, (0, 0, 1), 6): (4, 4)
(1, 0, 1, (0, 0, 1), 7): (4, 4)
(1, 0, 1, (0, 0, 1), 8): (1, 1)
(1, 0, 1, (0, 1, 0), 0): (5229, 10815)
(1, 0, 1, (0, 1, 0), 1): (1233, 2190)
(1, 0, 1, (0, 1, 0), 2): (515, 763)
(1, 0, 1, (0, 1, 0), 3): (238, 300)
(1, 0, 1, (0, 1, 0), 4): (89, 99)
(1, 0, 1, (0, 1, 0), 5): (35, 38)
(1, 0, 1, (0, 1, 0), 6): (13, 13)
(1, 0, 1, (0, 1, 0), 7): (2, 2)
(1, 0, 1, (0, 1, 0), 8): (3, 3)
(1, 0, 1, (0, 1, 1), 0): (1050, 1923)
(1, 0, 1, (0, 1, 1), 1): (481, 765)
(1, 0, 1, (0, 1, 1), 2): (231, 322)
(1, 0, 1, (0, 1, 1), 3): (104, 133)
(1, 0, 1, (0, 1, 1), 4): (41, 53)
(1, 0, 1, (0, 1, 1), 5): (16, 19)
(1, 0, 1, (0, 1, 1), 6): (10, 11)
(1, 0, 1, (0, 1, 1), 7): (3, 3)
(1, 0, 1, (0, 1, 1), 8): (2, 2)
(1, 0, 1, (0, 1, 1), 9): (1, 1)
(1, 0, 1, (1, 0, 0), 0): (11040, 23632)
(1, 0, 1, (1, 0, 0), 1): (1575, 2779)
(1, 0, 1, (1, 0, 0), 2): (635, 993)
(1, 0, 1, (1, 0, 0), 3): (325, 442)
(1, 0, 1, (1, 0, 0), 4): (154, 180)
(1, 0, 1, (1, 0, 0), 5): (55, 62)
(1, 0, 1, (1, 0, 0), 6): (22, 24)
(1, 0, 1, (1, 0, 0), 7): (4, 4)
(1, 0, 1, (1, 0, 0), 9): (2, 2)
(1, 0, 1, (1, 0, 1), 0): (1828, 3440)
(1, 0, 1, (1, 0, 1), 1): (793, 1279)
(1, 0, 1, (1, 0, 1), 2): (342, 462)
(1, 0, 1, (1, 0, 1), 3): (141, 189)
(1, 0, 1, (1, 0, 1), 4): (69, 78)
(1, 0, 1, (1, 0, 1), 5): (21, 23)
(1, 0, 1, (1, 0, 1), 6): (10, 11)
(1, 0, 1, (1, 0, 1), 7): (4, 4)
(1, 0, 1, (1, 1, 0), 0): (3430, 6733)
(1, 0, 1, (1, 1, 0), 1): (1107, 1877)
(1, 0, 1, (1, 1, 0), 2): (499, 753)
(1, 0, 1, (1, 1, 0), 3): (206, 276)
(1, 0, 1, (1, 1, 0), 4): (88, 108)
(1, 0, 1, (1, 1, 0), 5): (37, 38)
(1, 0, 1, (1, 1, 0), 6): (11, 14)
(1, 0, 1, (1, 1, 0), 8): (1, 1)
(1, 0, 1, (1, 1, 1), 0): (1000, 1724)
(1, 0, 1, (1, 1, 1), 1): (541, 832)
(1, 0, 1, (1, 1, 1), 2): (272, 381)
(1, 0, 1, (1, 1, 1), 3): (122, 148)
(1, 0, 1, (1, 1, 1), 4): (44, 53)
(1, 0, 1, (1, 1, 1), 5): (13, 13)
(1, 0, 1, (1, 1, 1), 6): (7, 7)
(1, 0, 1, (1, 1, 1), 7): (4, 4)
(1, 0, 1, (1, 1, 1), 8): (1, 1)
(1, 0, 2, (0, 0, 0), 0): (20096, 47764)
(1, 0, 2, (0, 0, 0), 1): (2415, 4555)
(1, 0, 2, (0, 0, 0), 2): (1598, 2488)
(1, 0, 2, (0, 0, 0), 3): (862, 1264)
(1, 0, 2, (0, 0, 0), 4): (440, 557)
(1, 0, 2, (0, 0, 0), 5): (156, 179)
(1, 0, 2, (0, 0, 0), 6): (48, 54)
(1, 0, 2, (0, 0, 0), 7): (13, 13)
(1, 0, 2, (0, 0, 0), 8): (5, 5)
(1, 0, 2, (0, 0, 0), 9): (5, 6)
(1, 0, 2, (0, 0, 0), 10): (3, 3)
(1, 0, 2, (0, 0, 0), 11): (2, 2)
(1, 0, 2, (0, 0, 1), 0): (2080, 4430)
(1, 0, 2, (0, 0, 1), 1): (837, 1535)
(1, 0, 2, (0, 0, 1), 2): (423, 661)
(1, 0, 2, (0, 0, 1), 3): (200, 274)
(1, 0, 2, (0, 0, 1), 4): (94, 111)
(1, 0, 2, (0, 0, 1), 5): (36, 51)
(1, 0, 2, (0, 0, 1), 6): (11, 13)
(1, 0, 2, (0, 0, 1), 7): (7, 7)
(1, 0, 2, (0, 0, 1), 8): (1, 2)
(1, 0, 2, (0, 0, 1), 10): (1, 1)
(1, 0, 2, (0, 0, 1), 11): (1, 1)
(1, 0, 2, (0, 1, 0), 0): (4615, 10420)
(1, 0, 2, (0, 1, 0), 1): (1761, 3268)
(1, 0, 2, (0, 1, 0), 2): (911, 1442)
(1, 0, 2, (0, 1, 0), 3): (481, 663)
(1, 0, 2, (0, 1, 0), 4): (236, 285)
(1, 0, 2, (0, 1, 0), 5): (109, 123)
(1, 0, 2, (0, 1, 0), 6): (38, 42)
(1, 0, 2, (0, 1, 0), 7): (10, 10)
(1, 0, 2, (0, 1, 0), 8): (8, 8)
(1, 0, 2, (0, 1, 0), 9): (2, 2)
(1, 0, 2, (0, 1, 1), 0): (781, 1643)
(1, 0, 2, (0, 1, 1), 1): (555, 907)
(1, 0, 2, (0, 1, 1), 2): (339, 473)
(1, 0, 2, (0, 1, 1), 3): (154, 213)
(1, 0, 2, (0, 1, 1), 4): (58, 69)
(1, 0, 2, (0, 1, 1), 5): (33, 39)
(1, 0, 2, (0, 1, 1), 6): (11, 12)
(1, 0, 2, (0, 1, 1), 7): (3, 3)
(1, 0, 2, (0, 1, 1), 9): (1, 1)
(1, 0, 2, (1, 0, 0), 0): (9113, 21099)
(1, 0, 2, (1, 0, 0), 1): (2428, 4432)
(1, 0, 2, (1, 0, 0), 2): (1280, 1972)
(1, 0, 2, (1, 0, 0), 3): (631, 858)
(1, 0, 2, (1, 0, 0), 4): (331, 393)
(1, 0, 2, (1, 0, 0), 5): (118, 135)
(1, 0, 2, (1, 0, 0), 6): (36, 40)
(1, 0, 2, (1, 0, 0), 7): (18, 21)
(1, 0, 2, (1, 0, 0), 8): (7, 7)
(1, 0, 2, (1, 0, 0), 9): (6, 7)
(1, 0, 2, (1, 0, 0), 10): (2, 2)
(1, 0, 2, (1, 0, 0), 11): (1, 1)
(1, 0, 2, (1, 0, 1), 0): (1612, 3402)
(1, 0, 2, (1, 0, 1), 1): (966, 1677)
(1, 0, 2, (1, 0, 1), 2): (497, 761)
(1, 0, 2, (1, 0, 1), 3): (236, 325)
(1, 0, 2, (1, 0, 1), 4): (122, 143)
(1, 0, 2, (1, 0, 1), 5): (51, 59)
(1, 0, 2, (1, 0, 1), 6): (24, 28)
(1, 0, 2, (1, 0, 1), 7): (6, 6)
(1, 0, 2, (1, 0, 1), 8): (6, 6)
(1, 0, 2, (1, 0, 1), 9): (1, 1)
(1, 0, 2, (1, 0, 1), 10): (0, 1)
(1, 0, 2, (1, 1, 0), 0): (3447, 7651)
(1, 0, 2, (1, 1, 0), 1): (1548, 2828)
(1, 0, 2, (1, 1, 0), 2): (827, 1271)
(1, 0, 2, (1, 1, 0), 3): (418, 565)
(1, 0, 2, (1, 1, 0), 4): (221, 260)
(1, 0, 2, (1, 1, 0), 5): (76, 86)
(1, 0, 2, (1, 1, 0), 6): (42, 43)
(1, 0, 2, (1, 1, 0), 7): (11, 11)
(1, 0, 2, (1, 1, 0), 8): (4, 4)
(1, 0, 2, (1, 1, 0), 9): (1, 2)
(1, 0, 2, (1, 1, 0), 10): (1, 1)
(1, 0, 2, (1, 1, 1), 0): (1011, 1973)
(1, 0, 2, (1, 1, 1), 1): (586, 1021)
(1, 0, 2, (1, 1, 1), 2): (334, 500)
(1, 0, 2, (1, 1, 1), 3): (198, 271)
(1, 0, 2, (1, 1, 1), 4): (71, 81)
(1, 0, 2, (1, 1, 1), 5): (29, 32)
(1, 0, 2, (1, 1, 1), 6): (11, 11)
(1, 0, 2, (1, 1, 1), 7): (9, 9)
(1, 0, 2, (1, 1, 1), 8): (3, 3)
(1, 0, 2, (1, 1, 1), 9): (1, 1)
(1, 0, 2, (1, 1, 1), 10): (1, 2)
(1, 1, 0, (0, 0, 0), -11): (0, 3)
(1, 1, 0, (0, 0, 0), -10): (1, 6)
(1, 1, 0, (0, 0, 0), -9): (0, 12)
(1, 1, 0, (0, 0, 0), -8): (1, 20)
(1, 1, 0, (0, 0, 0), -7): (3, 58)
(1, 1, 0, (0, 0, 0), -6): (16, 182)
(1, 1, 0, (0, 0, 0), -5): (82, 531)
(1, 1, 0, (0, 0, 0), -4): (261, 1377)
(1, 1, 0, (0, 0, 0), -3): (968, 3191)
(1, 1, 0, (0, 0, 0), -2): (2587, 6833)
(1, 1, 0, (0, 0, 0), -1): (6872, 14182)
(1, 1, 0, (0, 0, 0), 0): (39678, 67292)
(1, 1, 0, (0, 0, 0), 1): (810, 1152)
(1, 1, 0, (0, 0, 0), 2): (322, 418)
(1, 1, 0, (0, 0, 0), 3): (207, 249)
(1, 1, 0, (0, 0, 0), 4): (130, 140)
(1, 1, 0, (0, 0, 0), 5): (30, 30)
(1, 1, 0, (0, 0, 0), 6): (10, 11)
(1, 1, 0, (0, 0, 0), 7): (3, 3)
(1, 1, 0, (0, 0, 0), 8): (2, 2)
(1, 1, 0, (0, 0, 1), -11): (0, 1)
(1, 1, 0, (0, 0, 1), -8): (0, 1)
(1, 1, 0, (0, 0, 1), -7): (0, 2)
(1, 1, 0, (0, 0, 1), -6): (0, 2)
(1, 1, 0, (0, 0, 1), -5): (1, 4)
(1, 1, 0, (0, 0, 1), -4): (4, 17)
(1, 1, 0, (0, 0, 1), -3): (15, 54)
(1, 1, 0, (0, 0, 1), -2): (54, 116)
(1, 1, 0, (0, 0, 1), -1): (162, 289)
(1, 1, 0, (0, 0, 1), 0): (883, 1316)
(1, 1, 0, (0, 0, 1), 1): (241, 324)
(1, 1, 0, (0, 0, 1), 2): (94, 106)
(1, 1, 0, (0, 0, 1), 3): (25, 30)
(1, 1, 0, (0, 0, 1), 4): (11, 11)
(1, 1, 0, (0, 0, 1), 5): (6, 6)
(1, 1, 0, (0, 0, 1), 6): (1, 1)
(1, 1, 0, (0, 0, 1), 7): (1, 1)
(1, 1, 0, (0, 0, 1), 8): (1, 1)
(1, 1, 0, (0, 1, 0), -10): (1, 1)
(1, 1, 0, (0, 1, 0), -9): (0, 1)
(1, 1, 0, (0, 1, 0), -8): (1, 8)
(1, 1, 0, (0, 1, 0), -7): (1, 9)
(1, 1, 0, (0, 1, 0), -6): (3, 10)
(1, 1, 0, (0, 1, 0), -5): (6, 54)
(1, 1, 0, (0, 1, 0), -4): (34, 122)
(1, 1, 0, (0, 1, 0), -3): (100, 254)
(1, 1, 0, (0, 1, 0), -2): (267, 599)
(1, 1, 0, (0, 1, 0), -1): (785, 1398)
(1, 1, 0, (0, 1, 0), 0): (4189, 6384)
(1, 1, 0, (0, 1, 0), 1): (578, 774)
(1, 1, 0, (0, 1, 0), 2): (233, 288)
(1, 1, 0, (0, 1, 0), 3): (96, 110)
(1, 1, 0, (0, 1, 0), 4): (45, 47)
(1, 1, 0, (0, 1, 0), 5): (10, 10)
(1, 1, 0, (0, 1, 0), 6): (3, 3)
(1, 1, 0, (0, 1, 0), 7): (1, 1)
(1, 1, 0, (0, 1, 1), -8): (0, 1)
(1, 1, 0, (0, 1, 1), -6): (0, 1)
(1, 1, 0, (0, 1, 1), -5): (2, 5)
(1, 1, 0, (0, 1, 1), -4): (8, 18)
(1, 1, 0, (0, 1, 1), -3): (23, 56)
(1, 1, 0, (0, 1, 1), -2): (53, 103)
(1, 1, 0, (0, 1, 1), -1): (115, 191)
(1, 1, 0, (0, 1, 1), 0): (671, 910)
(1, 1, 0, (0, 1, 1), 1): (267, 336)
(1, 1, 0, (0, 1, 1), 2): (94, 113)
(1, 1, 0, (0, 1, 1), 3): (37, 39)
(1, 1, 0, (0, 1, 1), 4): (14, 16)
(1, 1, 0, (0, 1, 1), 5): (2, 2)
(1, 1, 0, (0, 1, 1), 6): (2, 2)
(1, 1, 0, (1, 0, 0), -10): (0, 2)
(1, 1, 0, (1, 0, 0), -9): (0, 2)
(1, 1, 0, (1, 0, 0), -8): (0, 8)
(1, 1, 0, (1, 0, 0), -7): (1, 18)
(1, 1, 0, (1, 0, 0), -6): (2, 48)
(1, 1, 0, (1, 0, 0), -5): (21, 154)
(1, 1, 0, (1, 0, 0), -4): (91, 406)
(1, 1, 0, (1, 0, 0), -3): (336, 1004)
(1, 1, 0, (1, 0, 0), -2): (860, 2018)
(1, 1, 0, (1, 0, 0), -1): (2288, 4241)
(1, 1, 0, (1, 0, 0), 0): (12271, 19515)
(1, 1, 0, (1, 0, 0), 1): (623, 850)
(1, 1, 0, (1, 0, 0), 2): (241, 293)
(1, 1, 0, (1, 0, 0), 3): (115, 131)
(1, 1, 0, (1, 0, 0), 4): (48, 51)
(1, 1, 0, (1, 0, 0), 5): (15, 16)
(1, 1, 0, (1, 0, 0), 6): (6, 6)
(1, 1, 0, (1, 0, 0), 7): (1, 1)
(1, 1, 0, (1, 0, 0), 9): (1, 1)
(1, 1, 0, (1, 0, 1), -10): (0, 1)
(1, 1, 0, (1, 0, 1), -9): (0, 1)
(1, 1, 0, (1, 0, 1), -8): (0, 1)
(1, 1, 0, (1, 0, 1), -7): (0, 2)
(1, 1, 0, (1, 0, 1), -6): (0, 4)
(1, 1, 0, (1, 0, 1), -5): (0, 10)
(1, 1, 0, (1, 0, 1), -4): (10, 36)
(1, 1, 0, (1, 0, 1), -3): (28, 84)
(1, 1, 0, (1, 0, 1), -2): (113, 211)
(1, 1, 0, (1, 0, 1), -1): (298, 479)
(1, 1, 0, (1, 0, 1), 0): (1419, 2026)
(1, 1, 0, (1, 0, 1), 1): (406, 521)
(1, 1, 0, (1, 0, 1), 2): (147, 171)
(1, 1, 0, (1, 0, 1), 3): (51, 57)
(1, 1, 0, (1, 0, 1), 4): (15, 16)
(1, 1, 0, (1, 0, 1), 5): (11, 11)
(1, 1, 0, (1, 0, 1), 6): (2, 2)
(1, 1, 0, (1, 1, 0), -9): (0, 1)
(1, 1, 0, (1, 1, 0), -8): (0, 3)
(1, 1, 0, (1, 1, 0), -7): (0, 6)
(1, 1, 0, (1, 1, 0), -6): (1, 15)
(1, 1, 0, (1, 1, 0), -5): (7, 44)
(1, 1, 0, (1, 1, 0), -4): (26, 100)
(1, 1, 0, (1, 1, 0), -3): (97, 243)
(1, 1, 0, (1, 1, 0), -2): (230, 436)
(1, 1, 0, (1, 1, 0), -1): (533, 889)
(1, 1, 0, (1, 1, 0), 0): (2728, 3923)
(1, 1, 0, (1, 1, 0), 1): (529, 687)
(1, 1, 0, (1, 1, 0), 2): (193, 244)
(1, 1, 0, (1, 1, 0), 3): (74, 85)
(1, 1, 0, (1, 1, 0), 4): (34, 36)
(1, 1, 0, (1, 1, 0), 5): (15, 16)
(1, 1, 0, (1, 1, 0), 6): (6, 6)
(1, 1, 0, (1, 1, 0), 7): (1, 1)
(1, 1, 0, (1, 1, 1), -8): (0, 1)
(1, 1, 0, (1, 1, 1), -7): (0, 1)
(1, 1, 0, (1, 1, 1), -6): (0, 2)
(1, 1, 0, (1, 1, 1), -5): (1, 4)
(1, 1, 0, (1, 1, 1), -4): (8, 21)
(1, 1, 0, (1, 1, 1), -3): (19, 43)
(1, 1, 0, (1, 1, 1), -2): (62, 103)
(1, 1, 0, (1, 1, 1), -1): (153, 217)
(1, 1, 0, (1, 1, 1), 0): (666, 901)
(1, 1, 0, (1, 1, 1), 1): (227, 282)
(1, 1, 0, (1, 1, 1), 2): (96, 111)
(1, 1, 0, (1, 1, 1), 3): (32, 37)
(1, 1, 0, (1, 1, 1), 4): (16, 17)
(1, 1, 0, (1, 1, 1), 5): (5, 6)
(1, 1, 0, (1, 1, 1), 6): (2, 2)
(1, 1, 1, (0, 0, 0), -11): (0, 2)
(1, 1, 1, (0, 0, 0), -10): (0, 4)
(1, 1, 1, (0, 0, 0), -9): (0, 9)
(1, 1, 1, (0, 0, 0), -8): (1, 6)
(1, 1, 1, (0, 0, 0), -7): (2, 34)
(1, 1, 1, (0, 0, 0), -6): (11, 120)
(1, 1, 1, (0, 0, 0), -5): (55, 345)
(1, 1, 1, (0, 0, 0), -4): (149, 898)
(1, 1, 1, (0, 0, 0), -3): (565, 2050)
(1, 1, 1, (0, 0, 0), -2): (1601, 4574)
(1, 1, 1, (0, 0, 0), -1): (4280, 9510)
(1, 1, 1, (0, 0, 0), 0): (25361, 44943)
(1, 1, 1, (0, 0, 0), 1): (1413, 2084)
(1, 1, 1, (0, 0, 0), 2): (1055, 1387)
(1, 1, 1, (0, 0, 0), 3): (625, 751)
(1, 1, 1, (0, 0, 0), 4): (302, 330)
(1, 1, 1, (0, 0, 0), 5): (103, 109)
(1, 1, 1, (0, 0, 0), 6): (32, 35)
(1, 1, 1, (0, 0, 0), 7): (15, 16)
(1, 1, 1, (0, 0, 0), 8): (2, 2)
(1, 1, 1, (0, 0, 0), 9): (3, 3)
(1, 1, 1, (0, 0, 0), 11): (1, 1)
(1, 1, 1, (0, 0, 1), -9): (0, 1)
(1, 1, 1, (0, 0, 1), -8): (0, 3)
(1, 1, 1, (0, 0, 1), -7): (0, 6)
(1, 1, 1, (0, 0, 1), -6): (1, 6)
(1, 1, 1, (0, 0, 1), -5): (2, 19)
(1, 1, 1, (0, 0, 1), -4): (13, 67)
(1, 1, 1, (0, 0, 1), -3): (41, 138)
(1, 1, 1, (0, 0, 1), -2): (154, 331)
(1, 1, 1, (0, 0, 1), -1): (404, 767)
(1, 1, 1, (0, 0, 1), 0): (2266, 3547)
(1, 1, 1, (0, 0, 1), 1): (678, 937)
(1, 1, 1, (0, 0, 1), 2): (278, 346)
(1, 1, 1, (0, 0, 1), 3): (120, 141)
(1, 1, 1, (0, 0, 1), 4): (56, 59)
(1, 1, 1, (0, 0, 1), 5): (16, 16)
(1, 1, 1, (0, 0, 1), 6): (7, 7)
(1, 1, 1, (0, 0, 1), 7): (4, 4)
(1, 1, 1, (0, 1, 0), -10): (1, 2)
(1, 1, 1, (0, 1, 0), -9): (0, 1)
(1, 1, 1, (0, 1, 0), -8): (1, 2)
(1, 1, 1, (0, 1, 0), -7): (2, 9)
(1, 1, 1, (0, 1, 0), -6): (2, 19)
(1, 1, 1, (0, 1, 0), -5): (18, 69)
(1, 1, 1, (0, 1, 0), -4): (36, 164)
(1, 1, 1, (0, 1, 0), -3): (127, 362)
(1, 1, 1, (0, 1, 0), -2): (341, 854)
(1, 1, 1, (0, 1, 0), -1): (933, 1879)
(1, 1, 1, (0, 1, 0), 0): (5377, 8835)
(1, 1, 1, (0, 1, 0), 1): (1378, 1957)
(1, 1, 1, (0, 1, 0), 2): (623, 792)
(1, 1, 1, (0, 1, 0), 3): (265, 322)
(1, 1, 1, (0, 1, 0), 4): (122, 136)
(1, 1, 1, (0, 1, 0), 5): (41, 43)
(1, 1, 1, (0, 1, 0), 6): (16, 16)
(1, 1, 1, (0, 1, 0), 7): (8, 8)
(1, 1, 1, (0, 1, 0), 8): (1, 1)
(1, 1, 1, (0, 1, 0), 13): (1, 1)
(1, 1, 1, (0, 1, 1), -8): (0, 1)
(1, 1, 1, (0, 1, 1), -7): (0, 2)
(1, 1, 1, (0, 1, 1), -6): (0, 5)
(1, 1, 1, (0, 1, 1), -5): (6, 12)
(1, 1, 1, (0, 1, 1), -4): (8, 42)
(1, 1, 1, (0, 1, 1), -3): (32, 98)
(1, 1, 1, (0, 1, 1), -2): (96, 200)
(1, 1, 1, (0, 1, 1), -1): (219, 391)
(1, 1, 1, (0, 1, 1), 0): (1173, 1708)
(1, 1, 1, (0, 1, 1), 1): (554, 724)
(1, 1, 1, (0, 1, 1), 2): (258, 309)
(1, 1, 1, (0, 1, 1), 3): (122, 143)
(1, 1, 1, (0, 1, 1), 4): (46, 51)
(1, 1, 1, (0, 1, 1), 5): (17, 17)
(1, 1, 1, (0, 1, 1), 6): (2, 2)
(1, 1, 1, (0, 1, 1), 7): (2, 2)
(1, 1, 1, (1, 0, 0), -9): (0, 4)
(1, 1, 1, (1, 0, 0), -8): (1, 6)
(1, 1, 1, (1, 0, 0), -7): (1, 17)
(1, 1, 1, (1, 0, 0), -6): (4, 57)
(1, 1, 1, (1, 0, 0), -5): (24, 150)
(1, 1, 1, (1, 0, 0), -4): (84, 439)
(1, 1, 1, (1, 0, 0), -3): (288, 950)
(1, 1, 1, (1, 0, 0), -2): (754, 1979)
(1, 1, 1, (1, 0, 0), -1): (1962, 4033)
(1, 1, 1, (1, 0, 0), 0): (10718, 18042)
(1, 1, 1, (1, 0, 0), 1): (1717, 2491)
(1, 1, 1, (1, 0, 0), 2): (767, 978)
(1, 1, 1, (1, 0, 0), 3): (345, 412)
(1, 1, 1, (1, 0, 0), 4): (169, 182)
(1, 1, 1, (1, 0, 0), 5): (56, 61)
(1, 1, 1, (1, 0, 0), 6): (29, 30)
(1, 1, 1, (1, 0, 0), 7): (4, 4)
(1, 1, 1, (1, 0, 0), 8): (1, 1)
(1, 1, 1, (1, 0, 0), 9): (2, 2)
(1, 1, 1, (1, 0, 0), 11): (1, 1)
(1, 1, 1, (1, 0, 1), -8): (0, 1)
(1, 1, 1, (1, 0, 1), -7): (2, 7)
(1, 1, 1, (1, 0, 1), -6): (0, 7)
(1, 1, 1, (1, 0, 1), -5): (8, 26)
(1, 1, 1, (1, 0, 1), -4): (15, 61)
(1, 1, 1, (1, 0, 1), -3): (45, 136)
(1, 1, 1, (1, 0, 1), -2): (147, 318)
(1, 1, 1, (1, 0, 1), -1): (403, 711)
(1, 1, 1, (1, 0, 1), 0): (2025, 3037)
(1, 1, 1, (1, 0, 1), 1): (858, 1194)
(1, 1, 1, (1, 0, 1), 2): (382, 462)
(1, 1, 1, (1, 0, 1), 3): (170, 188)
(1, 1, 1, (1, 0, 1), 4): (78, 85)
(1, 1, 1, (1, 0, 1), 5): (21, 24)
(1, 1, 1, (1, 0, 1), 6): (4, 5)
(1, 1, 1, (1, 0, 1), 7): (4, 4)
(1, 1, 1, (1, 0, 1), 8): (1, 1)
(1, 1, 1, (1, 0, 1), 9): (2, 2)
(1, 1, 1, (1, 0, 1), 10): (1, 1)
(1, 1, 1, (1, 0, 1), 13): (1, 1)
(1, 1, 1, (1, 1, 0), -9): (0, 1)
(1, 1, 1, (1, 1, 0), -7): (0, 4)
(1, 1, 1, (1, 1, 0), -6): (0, 25)
(1, 1, 1, (1, 1, 0), -5): (7, 59)
(1, 1, 1, (1, 1, 0), -4): (40, 140)
(1, 1, 1, (1, 1, 0), -3): (112, 326)
(1, 1, 1, (1, 1, 0), -2): (307, 659)
(1, 1, 1, (1, 1, 0), -1): (708, 1365)
(1, 1, 1, (1, 1, 0), 0): (3621, 5717)
(1, 1, 1, (1, 1, 0), 1): (1168, 1604)
(1, 1, 1, (1, 1, 0), 2): (582, 733)
(1, 1, 1, (1, 1, 0), 3): (283, 321)
(1, 1, 1, (1, 1, 0), 4): (96, 108)
(1, 1, 1, (1, 1, 0), 5): (55, 61)
(1, 1, 1, (1, 1, 0), 6): (11, 11)
(1, 1, 1, (1, 1, 0), 7): (4, 4)
(1, 1, 1, (1, 1, 0), 8): (1, 1)
(1, 1, 1, (1, 1, 0), 9): (1, 1)
(1, 1, 1, (1, 1, 0), 14): (1, 1)
(1, 1, 1, (1, 1, 1), -9): (0, 1)
(1, 1, 1, (1, 1, 1), -7): (0, 4)
(1, 1, 1, (1, 1, 1), -6): (0, 4)
(1, 1, 1, (1, 1, 1), -5): (0, 14)
(1, 1, 1, (1, 1, 1), -4): (14, 52)
(1, 1, 1, (1, 1, 1), -3): (41, 95)
(1, 1, 1, (1, 1, 1), -2): (91, 185)
(1, 1, 1, (1, 1, 1), -1): (245, 387)
(1, 1, 1, (1, 1, 1), 0): (1189, 1696)
(1, 1, 1, (1, 1, 1), 1): (618, 821)
(1, 1, 1, (1, 1, 1), 2): (283, 338)
(1, 1, 1, (1, 1, 1), 3): (119, 134)
(1, 1, 1, (1, 1, 1), 4): (47, 48)
(1, 1, 1, (1, 1, 1), 5): (20, 23)
(1, 1, 1, (1, 1, 1), 6): (6, 7)
(1, 1, 1, (1, 1, 1), 7): (2, 2)
(1, 1, 1, (1, 1, 1), 8): (1, 1)
(1, 1, 1, (1, 1, 1), 9): (2, 2)
(1, 1, 1, (1, 1, 1), 10): (1, 1)
(1, 1, 1, (1, 1, 1), 14): (1, 1)
(1, 1, 2, (0, 0, 0), -11): (0, 2)
(1, 1, 2, (0, 0, 0), -10): (0, 4)
(1, 1, 2, (0, 0, 0), -9): (0, 6)
(1, 1, 2, (0, 0, 0), -8): (0, 6)
(1, 1, 2, (0, 0, 0), -7): (1, 26)
(1, 1, 2, (0, 0, 0), -6): (5, 77)
(1, 1, 2, (0, 0, 0), -5): (31, 245)
(1, 1, 2, (0, 0, 0), -4): (93, 626)
(1, 1, 2, (0, 0, 0), -3): (385, 1525)
(1, 1, 2, (0, 0, 0), -2): (1110, 3372)
(1, 1, 2, (0, 0, 0), -1): (3099, 7129)
(1, 1, 2, (0, 0, 0), 0): (18013, 33037)
(1, 1, 2, (0, 0, 0), 1): (2723, 4099)
(1, 1, 2, (0, 0, 0), 2): (1730, 2308)
(1, 1, 2, (0, 0, 0), 3): (992, 1198)
(1, 1, 2, (0, 0, 0), 4): (488, 550)
(1, 1, 2, (0, 0, 0), 5): (199, 210)
(1, 1, 2, (0, 0, 0), 6): (67, 73)
(1, 1, 2, (0, 0, 0), 7): (29, 30)
(1, 1, 2, (0, 0, 0), 8): (9, 9)
(1, 1, 2, (0, 0, 0), 9): (6, 6)
(1, 1, 2, (0, 0, 0), 10): (1, 1)
(1, 1, 2, (0, 0, 0), 11): (2, 2)
(1, 1, 2, (0, 0, 0), 13): (1, 1)
(1, 1, 2, (0, 0, 1), -10): (0, 1)
(1, 1, 2, (0, 0, 1), -9): (0, 1)
(1, 1, 2, (0, 0, 1), -8): (0, 1)
(1, 1, 2, (0, 0, 1), -7): (1, 8)
(1, 1, 2, (0, 0, 1), -6): (1, 7)
(1, 1, 2, (0, 0, 1), -5): (4, 28)
(1, 1, 2, (0, 0, 1), -4): (13, 81)
(1, 1, 2, (0, 0, 1), -3): (44, 152)
(1, 1, 2, (0, 0, 1), -2): (142, 378)
(1, 1, 2, (0, 0, 1), -1): (375, 828)
(1, 1, 2, (0, 0, 1), 0): (2091, 3657)
(1, 1, 2, (0, 0, 1), 1): (954, 1402)
(1, 1, 2, (0, 0, 1), 2): (530, 702)
(1, 1, 2, (0, 0, 1), 3): (262, 312)
(1, 1, 2, (0, 0, 1), 4): (125, 135)
(1, 1, 2, (0, 0, 1), 5): (44, 46)
(1, 1, 2, (0, 0, 1), 6): (16, 16)
(1, 1, 2, (0, 0, 1), 7): (9, 9)
(1, 1, 2, (0, 0, 1), 8): (3, 3)
(1, 1, 2, (0, 0, 1), 9): (2, 2)
(1, 1, 2, (0, 1, 0), -11): (0, 1)
(1, 1, 2, (0, 1, 0), -10): (0, 1)
(1, 1, 2, (0, 1, 0), -8): (1, 3)
(1, 1, 2, (0, 1, 0), -7): (0, 4)
(1, 1, 2, (0, 1, 0), -6): (2, 17)
(1, 1, 2, (0, 1, 0), -5): (19, 61)
(1, 1, 2, (0, 1, 0), -4): (26, 159)
(1, 1, 2, (0, 1, 0), -3): (114, 417)
(1, 1, 2, (0, 1, 0), -2): (285, 835)
(1, 1, 2, (0, 1, 0), -1): (845, 1839)
(1, 1, 2, (0, 1, 0), 0): (4799, 8386)
(1, 1, 2, (0, 1, 0), 1): (1965, 2923)
(1, 1, 2, (0, 1, 0), 2): (1141, 1487)
(1, 1, 2, (0, 1, 0), 3): (590, 715)
(1, 1, 2, (0, 1, 0), 4): (294, 322)
(1, 1, 2, (0, 1, 0), 5): (100, 111)
(1, 1, 2, (0, 1, 0), 6): (49, 53)
(1, 1, 2, (0, 1, 0), 7): (19, 19)
(1, 1, 2, (0, 1, 0), 8): (7, 7)
(1, 1, 2, (0, 1, 0), 9): (1, 1)
(1, 1, 2, (0, 1, 0), 10): (2, 2)
(1, 1, 2, (0, 1, 0), 11): (1, 1)
(1, 1, 2, (0, 1, 1), -6): (0, 3)
(1, 1, 2, (0, 1, 1), -5): (1, 16)
(1, 1, 2, (0, 1, 1), -4): (4, 35)
(1, 1, 2, (0, 1, 1), -3): (22, 87)
(1, 1, 2, (0, 1, 1), -2): (71, 170)
(1, 1, 2, (0, 1, 1), -1): (171, 364)
(1, 1, 2, (0, 1, 1), 0): (868, 1443)
(1, 1, 2, (0, 1, 1), 1): (590, 844)
(1, 1, 2, (0, 1, 1), 2): (330, 428)
(1, 1, 2, (0, 1, 1), 3): (187, 215)
(1, 1, 2, (0, 1, 1), 4): (71, 83)
(1, 1, 2, (0, 1, 1), 5): (48, 50)
(1, 1, 2, (0, 1, 1), 6): (10, 10)
(1, 1, 2, (0, 1, 1), 7): (13, 13)
(1, 1, 2, (0, 1, 1), 8): (2, 2)
(1, 1, 2, (0, 1, 1), 10): (1, 1)
(1, 1, 2, (0, 1, 1), 12): (1, 1)
(1, 1, 2, (1, 0, 0), -9): (0, 3)
(1, 1, 2, (1, 0, 0), -8): (0, 2)
(1, 1, 2, (1, 0, 0), -7): (0, 13)
(1, 1, 2, (1, 0, 0), -6): (4, 41)
(1, 1, 2, (1, 0, 0), -5): (13, 139)
(1, 1, 2, (1, 0, 0), -4): (47, 338)
(1, 1, 2, (1, 0, 0), -3): (205, 798)
(1, 1, 2, (1, 0, 0), -2): (533, 1723)
(1, 1, 2, (1, 0, 0), -1): (1634, 3664)
(1, 1, 2, (1, 0, 0), 0): (8871, 15775)
(1, 1, 2, (1, 0, 0), 1): (2622, 3963)
(1, 1, 2, (1, 0, 0), 2): (1416, 1872)
(1, 1, 2, (1, 0, 0), 3): (678, 829)
(1, 1, 2, (1, 0, 0), 4): (348, 390)
(1, 1, 2, (1, 0, 0), 5): (137, 146)
(1, 1, 2, (1, 0, 0), 6): (56, 58)
(1, 1, 2, (1, 0, 0), 7): (26, 29)
(1, 1, 2, (1, 0, 0), 8): (5, 5)
(1, 1, 2, (1, 0, 0), 9): (3, 3)
(1, 1, 2, (1, 0, 0), 10): (2, 2)
(1, 1, 2, (1, 0, 0), 11): (2, 2)
(1, 1, 2, (1, 0, 1), -7): (1, 3)
(1, 1, 2, (1, 0, 1), -6): (0, 10)
(1, 1, 2, (1, 0, 1), -5): (4, 25)
(1, 1, 2, (1, 0, 1), -4): (8, 68)
(1, 1, 2, (1, 0, 1), -3): (34, 155)
(1, 1, 2, (1, 0, 1), -2): (122, 327)
(1, 1, 2, (1, 0, 1), -1): (373, 759)
(1, 1, 2, (1, 0, 1), 0): (1792, 3018)
(1, 1, 2, (1, 0, 1), 1): (1058, 1545)
(1, 1, 2, (1, 0, 1), 2): (578, 769)
(1, 1, 2, (1, 0, 1), 3): (302, 369)
(1, 1, 2, (1, 0, 1), 4): (134, 151)
(1, 1, 2, (1, 0, 1), 5): (48, 54)
(1, 1, 2, (1, 0, 1), 6): (24, 24)
(1, 1, 2, (1, 0, 1), 7): (15, 15)
(1, 1, 2, (1, 0, 1), 8): (6, 6)
(1, 1, 2, (1, 0, 1), 9): (3, 3)
(1, 1, 2, (1, 0, 1), 10): (4, 4)
(1, 1, 2, (1, 1, 0), -9): (0, 1)
(1, 1, 2, (1, 1, 0), -7): (0, 3)
(1, 1, 2, (1, 1, 0), -6): (1, 15)
(1, 1, 2, (1, 1, 0), -5): (7, 57)
(1, 1, 2, (1, 1, 0), -4): (28, 135)
(1, 1, 2, (1, 1, 0), -3): (90, 331)
(1, 1, 2, (1, 1, 0), -2): (267, 745)
(1, 1, 2, (1, 1, 0), -1): (694, 1493)
(1, 1, 2, (1, 1, 0), 0): (3684, 6265)
(1, 1, 2, (1, 1, 0), 1): (1701, 2500)
(1, 1, 2, (1, 1, 0), 2): (1010, 1288)
(1, 1, 2, (1, 1, 0), 3): (466, 552)
(1, 1, 2, (1, 1, 0), 4): (238, 264)
(1, 1, 2, (1, 1, 0), 5): (82, 88)
(1, 1, 2, (1, 1, 0), 6): (37, 38)
(1, 1, 2, (1, 1, 0), 7): (21, 21)
(1, 1, 2, (1, 1, 0), 8): (5, 5)
(1, 1, 2, (1, 1, 0), 9): (4, 4)
(1, 1, 2, (1, 1, 0), 10): (3, 3)
(1, 1, 2, (1, 1, 0), 11): (2, 2)
(1, 1, 2, (1, 1, 1), -9): (0, 1)
(1, 1, 2, (1, 1, 1), -7): (0, 1)
(1, 1, 2, (1, 1, 1), -6): (0, 5)
(1, 1, 2, (1, 1, 1), -5): (1, 20)
(1, 1, 2, (1, 1, 1), -4): (8, 38)
(1, 1, 2, (1, 1, 1), -3): (38, 109)
(1, 1, 2, (1, 1, 1), -2): (91, 231)
(1, 1, 2, (1, 1, 1), -1): (234, 446)
(1, 1, 2, (1, 1, 1), 0): (1164, 1857)
(1, 1, 2, (1, 1, 1), 1): (680, 986)
(1, 1, 2, (1, 1, 1), 2): (409, 513)
(1, 1, 2, (1, 1, 1), 3): (220, 256)
(1, 1, 2, (1, 1, 1), 4): (78, 84)
(1, 1, 2, (1, 1, 1), 5): (45, 49)
(1, 1, 2, (1, 1, 1), 6): (12, 12)
(1, 1, 2, (1, 1, 1), 7): (7, 7)
(1, 1, 2, (1, 1, 1), 8): (3, 3)
(1, 1, 2, (1, 1, 1), 9): (2, 2)
(1, 1, 2, (1, 1, 1), 10): (2, 2)
(1, 1, 2, (1, 1, 1), 12): (1, 1)
(1, 1, 2, (1, 1, 1), 14): (1, 1)
(2, 0, 0, (0, 0, 0), -14): (0, 1)
(2, 0, 0, (0, 0, 0), -13): (0, 3)
(2, 0, 0, (0, 0, 0), -11): (0, 4)
(2, 0, 0, (0, 0, 0), -10): (0, 8)
(2, 0, 0, (0, 0, 0), -9): (0, 13)
(2, 0, 0, (0, 0, 0), -8): (0, 25)
(2, 0, 0, (0, 0, 0), -7): (3, 87)
(2, 0, 0, (0, 0, 0), -6): (11, 203)
(2, 0, 0, (0, 0, 0), -5): (47, 561)
(2, 0, 0, (0, 0, 0), -4): (159, 1446)
(2, 0, 0, (0, 0, 0), -3): (574, 3138)
(2, 0, 0, (0, 0, 0), -2): (1692, 6494)
(2, 0, 0, (0, 0, 0), -1): (4531, 12698)
(2, 0, 0, (0, 0, 0), 0): (23037, 49248)
(2, 0, 0, (0, 0, 0), 1): (7431, 12704)
(2, 0, 0, (0, 0, 0), 2): (4069, 5904)
(2, 0, 0, (0, 0, 0), 3): (2070, 2703)
(2, 0, 0, (0, 0, 0), 4): (983, 1150)
(2, 0, 0, (0, 0, 0), 5): (371, 427)
(2, 0, 0, (0, 0, 0), 6): (142, 150)
(2, 0, 0, (0, 0, 0), 7): (55, 59)
(2, 0, 0, (0, 0, 0), 8): (13, 15)
(2, 0, 0, (0, 0, 0), 9): (12, 12)
(2, 0, 0, (0, 0, 0), 10): (6, 6)
(2, 0, 0, (0, 0, 0), 11): (1, 1)
(2, 0, 0, (0, 0, 1), -6): (0, 2)
(2, 0, 0, (0, 0, 1), -5): (0, 5)
(2, 0, 0, (0, 0, 1), -4): (3, 13)
(2, 0, 0, (0, 0, 1), -3): (4, 26)
(2, 0, 0, (0, 0, 1), -2): (24, 65)
(2, 0, 0, (0, 0, 1), -1): (47, 109)
(2, 0, 0, (0, 0, 1), 0): (227, 382)
(2, 0, 0, (0, 0, 1), 1): (141, 220)
(2, 0, 0, (0, 0, 1), 2): (69, 105)
(2, 0, 0, (0, 0, 1), 3): (45, 55)
(2, 0, 0, (0, 0, 1), 4): (27, 29)
(2, 0, 0, (0, 0, 1), 5): (9, 9)
(2, 0, 0, (0, 0, 1), 6): (9, 9)
(2, 0, 0, (0, 0, 1), 7): (4, 4)
(2, 0, 0, (0, 0, 1), 8): (1, 1)
(2, 0, 0, (0, 1, 0), -11): (0, 1)
(2, 0, 0, (0, 1, 0), -8): (0, 1)
(2, 0, 0, (0, 1, 0), -7): (0, 6)
(2, 0, 0, (0, 1, 0), -6): (0, 10)
(2, 0, 0, (0, 1, 0), -5): (3, 27)
(2, 0, 0, (0, 1, 0), -4): (17, 109)
(2, 0, 0, (0, 1, 0), -3): (42, 187)
(2, 0, 0, (0, 1, 0), -2): (139, 417)
(2, 0, 0, (0, 1, 0), -1): (349, 829)
(2, 0, 0, (0, 1, 0), 0): (1628, 3094)
(2, 0, 0, (0, 1, 0), 1): (704, 1082)
(2, 0, 0, (0, 1, 0), 2): (378, 533)
(2, 0, 0, (0, 1, 0), 3): (170, 225)
(2, 0, 0, (0, 1, 0), 4): (78, 96)
(2, 0, 0, (0, 1, 0), 5): (40, 45)
(2, 0, 0, (0, 1, 0), 6): (19, 19)
(2, 0, 0, (0, 1, 0), 7): (9, 9)
(2, 0, 0, (0, 1, 0), 8): (2, 2)
(2, 0, 0, (0, 1, 0), 9): (1, 1)
(2, 0, 0, (0, 1, 0), 10): (2, 2)
(2, 0, 0, (0, 1, 1), -7): (0, 1)
(2, 0, 0, (0, 1, 1), -6): (1, 1)
(2, 0, 0, (0, 1, 1), -5): (1, 5)
(2, 0, 0, (0, 1, 1), -4): (5, 14)
(2, 0, 0, (0, 1, 1), -3): (5, 24)
(2, 0, 0, (0, 1, 1), -2): (27, 73)
(2, 0, 0, (0, 1, 1), -1): (69, 141)
(2, 0, 0, (0, 1, 1), 0): (333, 516)
(2, 0, 0, (0, 1, 1), 1): (190, 280)
(2, 0, 0, (0, 1, 1), 2): (117, 150)
(2, 0, 0, (0, 1, 1), 3): (43, 52)
(2, 0, 0, (0, 1, 1), 4): (33, 39)
(2, 0, 0, (0, 1, 1), 5): (10, 12)
(2, 0, 0, (0, 1, 1), 6): (7, 7)
(2, 0, 0, (0, 1, 1), 7): (4, 4)
(2, 0, 0, (0, 1, 1), 8): (2, 2)
(2, 0, 0, (1, 0, 0), -13): (0, 1)
(2, 0, 0, (1, 0, 0), -11): (0, 1)
(2, 0, 0, (1, 0, 0), -10): (0, 3)
(2, 0, 0, (1, 0, 0), -9): (0, 4)
(2, 0, 0, (1, 0, 0), -8): (0, 8)
(2, 0, 0, (1, 0, 0), -7): (3, 24)
(2, 0, 0, (1, 0, 0), -6): (4, 54)
(2, 0, 0, (1, 0, 0), -5): (16, 137)
(2, 0, 0, (1, 0, 0), -4): (46, 377)
(2, 0, 0, (1, 0, 0), -3): (176, 795)
(2, 0, 0, (1, 0, 0), -2): (458, 1625)
(2, 0, 0, (1, 0, 0), -1): (1261, 3183)
(2, 0, 0, (1, 0, 0), 0): (6093, 12276)
(2, 0, 0, (1, 0, 0), 1): (2046, 3318)
(2, 0, 0, (1, 0, 0), 2): (1117, 1538)
(2, 0, 0, (1, 0, 0), 3): (521, 688)
(2, 0, 0, (1, 0, 0), 4): (272, 312)
(2, 0, 0, (1, 0, 0), 5): (92, 111)
(2, 0, 0, (1, 0, 0), 6): (47, 49)
(2, 0, 0, (1, 0, 0), 7): (18, 18)
(2, 0, 0, (1, 0, 0), 8): (8, 9)
(2, 0, 0, (1, 0, 0), 9): (1, 1)
(2, 0, 0, (1, 0, 1), -7): (0, 1)
(2, 0, 0, (1, 0, 1), -6): (2, 2)
(2, 0, 0, (1, 0, 1), -5): (0, 3)
(2, 0, 0, (1, 0, 1), -4): (9, 35)
(2, 0, 0, (1, 0, 1), -3): (15, 49)
(2, 0, 0, (1, 0, 1), -2): (56, 144)
(2, 0, 0, (1, 0, 1), -1): (128, 249)
(2, 0, 0, (1, 0, 1), 0): (536, 880)
(2, 0, 0, (1, 0, 1), 1): (294, 454)
(2, 0, 0, (1, 0, 1), 2): (157, 225)
(2, 0, 0, (1, 0, 1), 3): (80, 109)
(2, 0, 0, (1, 0, 1), 4): (23, 24)
(2, 0, 0, (1, 0, 1), 5): (29, 29)
(2, 0, 0, (1, 0, 1), 6): (14, 15)
(2, 0, 0, (1, 0, 1), 7): (4, 4)
(2, 0, 0, (1, 0, 1), 8): (1, 1)
(2, 0, 0, (1, 1, 0), -9): (0, 1)
(2, 0, 0, (1, 1, 0), -8): (0, 3)
(2, 0, 0, (1, 1, 0), -7): (3, 8)
(2, 0, 0, (1, 1, 0), -6): (0, 9)
(2, 0, 0, (1, 1, 0), -5): (3, 27)
(2, 0, 0, (1, 1, 0), -4): (20, 97)
(2, 0, 0, (1, 1, 0), -3): (55, 185)
(2, 0, 0, (1, 1, 0), -2): (135, 383)
(2, 0, 0, (1, 1, 0), -1): (344, 734)
(2, 0, 0, (1, 1, 0), 0): (1435, 2614)
(2, 0, 0, (1, 1, 0), 1): (602, 898)
(2, 0, 0, (1, 1, 0), 2): (288, 394)
(2, 0, 0, (1, 1, 0), 3): (121, 149)
(2, 0, 0, (1, 1, 0), 4): (69, 79)
(2, 0, 0, (1, 1, 0), 5): (30, 30)
(2, 0, 0, (1, 1, 0), 6): (18, 18)
(2, 0, 0, (1, 1, 0), 7): (12, 12)
(2, 0, 0, (1, 1, 0), 8): (6, 6)
(2, 0, 0, (1, 1, 0), 10): (1, 1)
(2, 0, 0, (1, 1, 1), -8): (0, 1)
(2, 0, 0, (1, 1, 1), -7): (0, 2)
(2, 0, 0, (1, 1, 1), -6): (0, 2)
(2, 0, 0, (1, 1, 1), -5): (2, 5)
(2, 0, 0, (1, 1, 1), -4): (3, 16)
(2, 0, 0, (1, 1, 1), -3): (13, 30)
(2, 0, 0, (1, 1, 1), -2): (30, 77)
(2, 0, 0, (1, 1, 1), -1): (93, 166)
(2, 0, 0, (1, 1, 1), 0): (317, 490)
(2, 0, 0, (1, 1, 1), 1): (166, 224)
(2, 0, 0, (1, 1, 1), 2): (98, 113)
(2, 0, 0, (1, 1, 1), 3): (47, 51)
(2, 0, 0, (1, 1, 1), 4): (30, 34)
(2, 0, 0, (1, 1, 1), 5): (12, 12)
(2, 0, 0, (1, 1, 1), 6): (5, 5)
(2, 0, 0, (1, 1, 1), 7): (4, 4)
(2, 0, 0, (1, 1, 1), 8): (2, 2)
(2, 0, 1, (0, 0, 0), -13): (0, 2)
(2, 0, 1, (0, 0, 0), -11): (0, 3)
(2, 0, 1, (0, 0, 0), -10): (0, 6)
(2, 0, 1, (0, 0, 0), -9): (0, 8)
(2, 0, 1, (0, 0, 0), -8): (0, 16)
(2, 0, 1, (0, 0, 0), -7): (0, 53)
(2, 0, 1, (0, 0, 0), -6): (7, 135)
(2, 0, 1, (0, 0, 0), -5): (27, 388)
(2, 0, 1, (0, 0, 0), -4): (81, 942)
(2, 0, 1, (0, 0, 0), -3): (358, 2131)
(2, 0, 1, (0, 0, 0), -2): (1049, 4382)
(2, 0, 1, (0, 0, 0), -1): (2893, 8702)
(2, 0, 1, (0, 0, 0), 0): (14954, 33570)
(2, 0, 1, (0, 0, 0), 1): (5606, 9951)
(2, 0, 1, (0, 0, 0), 2): (3141, 4699)
(2, 0, 1, (0, 0, 0), 3): (1679, 2198)
(2, 0, 1, (0, 0, 0), 4): (797, 935)
(2, 0, 1, (0, 0, 0), 5): (320, 366)
(2, 0, 1, (0, 0, 0), 6): (133, 144)
(2, 0, 1, (0, 0, 0), 7): (64, 70)
(2, 0, 1, (0, 0, 0), 8): (27, 29)
(2, 0, 1, (0, 0, 0), 9): (25, 26)
(2, 0, 1, (0, 0, 0), 10): (6, 6)
(2, 0, 1, (0, 0, 0), 11): (1, 1)
(2, 0, 1, (0, 0, 1), -11): (0, 1)
(2, 0, 1, (0, 0, 1), -7): (0, 1)
(2, 0, 1, (0, 0, 1), -6): (0, 5)
(2, 0, 1, (0, 0, 1), -5): (1, 13)
(2, 0, 1, (0, 0, 1), -4): (2, 36)
(2, 0, 1, (0, 0, 1), -3): (11, 78)
(2, 0, 1, (0, 0, 1), -2): (46, 152)
(2, 0, 1, (0, 0, 1), -1): (136, 363)
(2, 0, 1, (0, 0, 1), 0): (707, 1363)
(2, 0, 1, (0, 0, 1), 1): (489, 749)
(2, 0, 1, (0, 0, 1), 2): (292, 413)
(2, 0, 1, (0, 0, 1), 3): (175, 227)
(2, 0, 1, (0, 0, 1), 4): (102, 122)
(2, 0, 1, (0, 0, 1), 5): (51, 56)
(2, 0, 1, (0, 0, 1), 6): (21, 21)
(2, 0, 1, (0, 0, 1), 7): (4, 4)
(2, 0, 1, (0, 0, 1), 8): (1, 1)
(2, 0, 1, (0, 0, 1), 9): (3, 3)
(2, 0, 1, (0, 0, 1), 10): (1, 1)
(2, 0, 1, (0, 1, 0), -9): (0, 1)
(2, 0, 1, (0, 1, 0), -8): (0, 1)
(2, 0, 1, (0, 1, 0), -7): (0, 9)
(2, 0, 1, (0, 1, 0), -6): (2, 20)
(2, 0, 1, (0, 1, 0), -5): (7, 46)
(2, 0, 1, (0, 1, 0), -4): (12, 119)
(2, 0, 1, (0, 1, 0), -3): (62, 288)
(2, 0, 1, (0, 1, 0), -2): (163, 588)
(2, 0, 1, (0, 1, 0), -1): (419, 1170)
(2, 0, 1, (0, 1, 0), 0): (2190, 4532)
(2, 0, 1, (0, 1, 0), 1): (1205, 1993)
(2, 0, 1, (0, 1, 0), 2): (803, 1115)
(2, 0, 1, (0, 1, 0), 3): (448, 589)
(2, 0, 1, (0, 1, 0), 4): (226, 274)
(2, 0, 1, (0, 1, 0), 5): (107, 123)
(2, 0, 1, (0, 1, 0), 6): (57, 59)
(2, 0, 1, (0, 1, 0), 7): (29, 30)
(2, 0, 1, (0, 1, 0), 8): (8, 9)
(2, 0, 1, (0, 1, 0), 9): (3, 3)
(2, 0, 1, (0, 1, 0), 10): (2, 2)
(2, 0, 1, (0, 1, 0), 11): (1, 1)
(2, 0, 1, (0, 1, 1), -8): (0, 1)
(2, 0, 1, (0, 1, 1), -6): (0, 3)
(2, 0, 1, (0, 1, 1), -5): (2, 10)
(2, 0, 1, (0, 1, 1), -4): (4, 31)
(2, 0, 1, (0, 1, 1), -3): (22, 69)
(2, 0, 1, (0, 1, 1), -2): (73, 176)
(2, 0, 1, (0, 1, 1), -1): (130, 310)
(2, 0, 1, (0, 1, 1), 0): (632, 1132)
(2, 0, 1, (0, 1, 1), 1): (462, 705)
(2, 0, 1, (0, 1, 1), 2): (313, 423)
(2, 0, 1, (0, 1, 1), 3): (153, 195)
(2, 0, 1, (0, 1, 1), 4): (86, 102)
(2, 0, 1, (0, 1, 1), 5): (37, 46)
(2, 0, 1, (0, 1, 1), 6): (23, 25)
(2, 0, 1, (0, 1, 1), 7): (10, 10)
(2, 0, 1, (0, 1, 1), 8): (5, 6)
(2, 0, 1, (0, 1, 1), 9): (1, 1)
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(2, 0, 1, (1, 0, 0), -10): (0, 4)
(2, 0, 1, (1, 0, 0), -9): (0, 1)
(2, 0, 1, (1, 0, 0), -8): (0, 6)
(2, 0, 1, (1, 0, 0), -7): (0, 24)
(2, 0, 1, (1, 0, 0), -6): (5, 71)
(2, 0, 1, (1, 0, 0), -5): (19, 161)
(2, 0, 1, (1, 0, 0), -4): (40, 413)
(2, 0, 1, (1, 0, 0), -3): (166, 908)
(2, 0, 1, (1, 0, 0), -2): (471, 1840)
(2, 0, 1, (1, 0, 0), -1): (1258, 3531)
(2, 0, 1, (1, 0, 0), 0): (6265, 13390)
(2, 0, 1, (1, 0, 0), 1): (2549, 4248)
(2, 0, 1, (1, 0, 0), 2): (1377, 2013)
(2, 0, 1, (1, 0, 0), 3): (726, 955)
(2, 0, 1, (1, 0, 0), 4): (409, 481)
(2, 0, 1, (1, 0, 0), 5): (173, 204)
(2, 0, 1, (1, 0, 0), 6): (87, 92)
(2, 0, 1, (1, 0, 0), 7): (32, 33)
(2, 0, 1, (1, 0, 0), 8): (15, 16)
(2, 0, 1, (1, 0, 0), 9): (11, 12)
(2, 0, 1, (1, 0, 0), 10): (2, 2)
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(2, 0, 1, (1, 0, 1), -7): (0, 3)
(2, 0, 1, (1, 0, 1), -6): (2, 7)
(2, 0, 1, (1, 0, 1), -5): (3, 19)
(2, 0, 1, (1, 0, 1), -4): (12, 54)
(2, 0, 1, (1, 0, 1), -3): (23, 95)
(2, 0, 1, (1, 0, 1), -2): (77, 226)
(2, 0, 1, (1, 0, 1), -1): (207, 459)
(2, 0, 1, (1, 0, 1), 0): (914, 1699)
(2, 0, 1, (1, 0, 1), 1): (592, 912)
(2, 0, 1, (1, 0, 1), 2): (354, 478)
(2, 0, 1, (1, 0, 1), 3): (220, 271)
(2, 0, 1, (1, 0, 1), 4): (103, 130)
(2, 0, 1, (1, 0, 1), 5): (68, 72)
(2, 0, 1, (1, 0, 1), 6): (36, 36)
(2, 0, 1, (1, 0, 1), 7): (14, 14)
(2, 0, 1, (1, 0, 1), 8): (5, 6)
(2, 0, 1, (1, 0, 1), 9): (4, 4)
(2, 0, 1, (1, 0, 1), 10): (2, 2)
(2, 0, 1, (1, 1, 0), -9): (0, 2)
(2, 0, 1, (1, 1, 0), -8): (0, 3)
(2, 0, 1, (1, 1, 0), -7): (2, 10)
(2, 0, 1, (1, 1, 0), -6): (1, 19)
(2, 0, 1, (1, 1, 0), -5): (9, 43)
(2, 0, 1, (1, 1, 0), -4): (21, 131)
(2, 0, 1, (1, 1, 0), -3): (50, 259)
(2, 0, 1, (1, 1, 0), -2): (164, 567)
(2, 0, 1, (1, 1, 0), -1): (431, 1084)
(2, 0, 1, (1, 1, 0), 0): (1958, 3896)
(2, 0, 1, (1, 1, 0), 1): (1061, 1653)
(2, 0, 1, (1, 1, 0), 2): (557, 780)
(2, 0, 1, (1, 1, 0), 3): (324, 419)
(2, 0, 1, (1, 1, 0), 4): (188, 226)
(2, 0, 1, (1, 1, 0), 5): (104, 115)
(2, 0, 1, (1, 1, 0), 6): (45, 49)
(2, 0, 1, (1, 1, 0), 7): (26, 28)
(2, 0, 1, (1, 1, 0), 8): (12, 12)
(2, 0, 1, (1, 1, 0), 9): (6, 6)
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(2, 0, 1, (1, 1, 0), 11): (1, 1)
(2, 0, 1, (1, 1, 0), 12): (1, 1)
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(2, 0, 1, (1, 1, 1), -8): (0, 3)
(2, 0, 1, (1, 1, 1), -7): (1, 5)
(2, 0, 1, (1, 1, 1), -6): (0, 6)
(2, 0, 1, (1, 1, 1), -5): (4, 10)
(2, 0, 1, (1, 1, 1), -4): (4, 31)
(2, 0, 1, (1, 1, 1), -3): (16, 58)
(2, 0, 1, (1, 1, 1), -2): (49, 131)
(2, 0, 1, (1, 1, 1), -1): (113, 240)
(2, 0, 1, (1, 1, 1), 0): (563, 992)
(2, 0, 1, (1, 1, 1), 1): (362, 551)
(2, 0, 1, (1, 1, 1), 2): (215, 288)
(2, 0, 1, (1, 1, 1), 3): (152, 186)
(2, 0, 1, (1, 1, 1), 4): (83, 99)
(2, 0, 1, (1, 1, 1), 5): (50, 59)
(2, 0, 1, (1, 1, 1), 6): (23, 27)
(2, 0, 1, (1, 1, 1), 7): (9, 9)
(2, 0, 1, (1, 1, 1), 8): (5, 6)
(2, 0, 1, (1, 1, 1), 9): (1, 1)
(2, 0, 1, (1, 1, 1), 10): (1, 1)
(2, 0, 1, (1, 1, 1), 11): (1, 1)
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(2, 0, 2, (0, 0, 0), -11): (0, 2)
(2, 0, 2, (0, 0, 0), -10): (0, 6)
(2, 0, 2, (0, 0, 0), -9): (0, 9)
(2, 0, 2, (0, 0, 0), -8): (0, 15)
(2, 0, 2, (0, 0, 0), -7): (0, 38)
(2, 0, 2, (0, 0, 0), -6): (2, 91)
(2, 0, 2, (0, 0, 0), -5): (15, 293)
(2, 0, 2, (0, 0, 0), -4): (54, 709)
(2, 0, 2, (0, 0, 0), -3): (246, 1587)
(2, 0, 2, (0, 0, 0), -2): (742, 3326)
(2, 0, 2, (0, 0, 0), -1): (2140, 6719)
(2, 0, 2, (0, 0, 0), 0): (10896, 25449)
(2, 0, 2, (0, 0, 0), 1): (4774, 8680)
(2, 0, 2, (0, 0, 0), 2): (2792, 4220)
(2, 0, 2, (0, 0, 0), 3): (1539, 2040)
(2, 0, 2, (0, 0, 0), 4): (757, 899)
(2, 0, 2, (0, 0, 0), 5): (366, 430)
(2, 0, 2, (0, 0, 0), 6): (214, 237)
(2, 0, 2, (0, 0, 0), 7): (114, 122)
(2, 0, 2, (0, 0, 0), 8): (48, 51)
(2, 0, 2, (0, 0, 0), 9): (26, 26)
(2, 0, 2, (0, 0, 0), 10): (11, 11)
(2, 0, 2, (0, 0, 0), 11): (4, 4)
(2, 0, 2, (0, 0, 1), -9): (0, 1)
(2, 0, 2, (0, 0, 1), -8): (0, 2)
(2, 0, 2, (0, 0, 1), -7): (0, 3)
(2, 0, 2, (0, 0, 1), -6): (1, 5)
(2, 0, 2, (0, 0, 1), -5): (2, 20)
(2, 0, 2, (0, 0, 1), -4): (6, 60)
(2, 0, 2, (0, 0, 1), -3): (19, 132)
(2, 0, 2, (0, 0, 1), -2): (68, 269)
(2, 0, 2, (0, 0, 1), -1): (197, 570)
(2, 0, 2, (0, 0, 1), 0): (892, 1936)
(2, 0, 2, (0, 0, 1), 1): (669, 1203)
(2, 0, 2, (0, 0, 1), 2): (518, 742)
(2, 0, 2, (0, 0, 1), 3): (315, 419)
(2, 0, 2, (0, 0, 1), 4): (165, 200)
(2, 0, 2, (0, 0, 1), 5): (86, 101)
(2, 0, 2, (0, 0, 1), 6): (47, 47)
(2, 0, 2, (0, 0, 1), 7): (21, 21)
(2, 0, 2, (0, 0, 1), 8): (6, 6)
(2, 0, 2, (0, 0, 1), 9): (5, 5)
(2, 0, 2, (0, 0, 1), 10): (4, 4)
(2, 0, 2, (0, 0, 1), 12): (1, 1)
(2, 0, 2, (0, 1, 0), -10): (0, 3)
(2, 0, 2, (0, 1, 0), -8): (0, 1)
(2, 0, 2, (0, 1, 0), -7): (0, 7)
(2, 0, 2, (0, 1, 0), -6): (0, 18)
(2, 0, 2, (0, 1, 0), -5): (5, 54)
(2, 0, 2, (0, 1, 0), -4): (14, 167)
(2, 0, 2, (0, 1, 0), -3): (67, 337)
(2, 0, 2, (0, 1, 0), -2): (182, 708)
(2, 0, 2, (0, 1, 0), -1): (472, 1429)
(2, 0, 2, (0, 1, 0), 0): (2422, 5385)
(2, 0, 2, (0, 1, 0), 1): (1730, 2997)
(2, 0, 2, (0, 1, 0), 2): (1246, 1816)
(2, 0, 2, (0, 1, 0), 3): (760, 1000)
(2, 0, 2, (0, 1, 0), 4): (429, 517)
(2, 0, 2, (0, 1, 0), 5): (202, 237)
(2, 0, 2, (0, 1, 0), 6): (126, 137)
(2, 0, 2, (0, 1, 0), 7): (54, 57)
(2, 0, 2, (0, 1, 0), 8): (16, 16)
(2, 0, 2, (0, 1, 0), 9): (10, 10)
(2, 0, 2, (0, 1, 0), 10): (6, 6)
(2, 0, 2, (0, 1, 0), 11): (3, 3)
(2, 0, 2, (0, 1, 0), 12): (2, 2)
(2, 0, 2, (0, 1, 1), -10): (0, 2)
(2, 0, 2, (0, 1, 1), -8): (0, 1)
(2, 0, 2, (0, 1, 1), -7): (0, 1)
(2, 0, 2, (0, 1, 1), -6): (0, 8)
(2, 0, 2, (0, 1, 1), -5): (2, 14)
(2, 0, 2, (0, 1, 1), -4): (4, 37)
(2, 0, 2, (0, 1, 1), -3): (15, 71)
(2, 0, 2, (0, 1, 1), -2): (63, 188)
(2, 0, 2, (0, 1, 1), -1): (144, 370)
(2, 0, 2, (0, 1, 1), 0): (566, 1177)
(2, 0, 2, (0, 1, 1), 1): (545, 910)
(2, 0, 2, (0, 1, 1), 2): (399, 545)
(2, 0, 2, (0, 1, 1), 3): (211, 276)
(2, 0, 2, (0, 1, 1), 4): (99, 120)
(2, 0, 2, (0, 1, 1), 5): (53, 64)
(2, 0, 2, (0, 1, 1), 6): (31, 32)
(2, 0, 2, (0, 1, 1), 7): (14, 15)
(2, 0, 2, (0, 1, 1), 8): (7, 7)
(2, 0, 2, (0, 1, 1), 9): (2, 2)
(2, 0, 2, (0, 1, 1), 10): (3, 3)
(2, 0, 2, (0, 1, 1), 12): (1, 1)
(2, 0, 2, (0, 1, 1), 13): (1, 1)
(2, 0, 2, (1, 0, 0), -13): (0, 2)
(2, 0, 2, (1, 0, 0), -10): (0, 6)
(2, 0, 2, (1, 0, 0), -9): (0, 2)
(2, 0, 2, (1, 0, 0), -8): (0, 5)
(2, 0, 2, (1, 0, 0), -7): (0, 16)
(2, 0, 2, (1, 0, 0), -6): (2, 58)
(2, 0, 2, (1, 0, 0), -5): (13, 141)
(2, 0, 2, (1, 0, 0), -4): (30, 360)
(2, 0, 2, (1, 0, 0), -3): (160, 892)
(2, 0, 2, (1, 0, 0), -2): (423, 1713)
(2, 0, 2, (1, 0, 0), -1): (1079, 3267)
(2, 0, 2, (1, 0, 0), 0): (5309, 11920)
(2, 0, 2, (1, 0, 0), 1): (2742, 4764)
(2, 0, 2, (1, 0, 0), 2): (1593, 2425)
(2, 0, 2, (1, 0, 0), 3): (995, 1302)
(2, 0, 2, (1, 0, 0), 4): (579, 695)
(2, 0, 2, (1, 0, 0), 5): (286, 340)
(2, 0, 2, (1, 0, 0), 6): (156, 170)
(2, 0, 2, (1, 0, 0), 7): (83, 88)
(2, 0, 2, (1, 0, 0), 8): (34, 34)
(2, 0, 2, (1, 0, 0), 9): (18, 19)
(2, 0, 2, (1, 0, 0), 10): (9, 9)
(2, 0, 2, (1, 0, 0), 11): (3, 3)
(2, 0, 2, (1, 0, 0), 12): (1, 1)
(2, 0, 2, (1, 0, 1), -9): (0, 1)
(2, 0, 2, (1, 0, 1), -8): (0, 1)
(2, 0, 2, (1, 0, 1), -7): (0, 1)
(2, 0, 2, (1, 0, 1), -6): (1, 5)
(2, 0, 2, (1, 0, 1), -5): (1, 26)
(2, 0, 2, (1, 0, 1), -4): (5, 52)
(2, 0, 2, (1, 0, 1), -3): (25, 129)
(2, 0, 2, (1, 0, 1), -2): (74, 270)
(2, 0, 2, (1, 0, 1), -1): (211, 531)
(2, 0, 2, (1, 0, 1), 0): (859, 1802)
(2, 0, 2, (1, 0, 1), 1): (741, 1198)
(2, 0, 2, (1, 0, 1), 2): (498, 692)
(2, 0, 2, (1, 0, 1), 3): (334, 431)
(2, 0, 2, (1, 0, 1), 4): (180, 223)
(2, 0, 2, (1, 0, 1), 5): (95, 121)
(2, 0, 2, (1, 0, 1), 6): (37, 39)
(2, 0, 2, (1, 0, 1), 7): (28, 30)
(2, 0, 2, (1, 0, 1), 8): (12, 12)
(2, 0, 2, (1, 0, 1), 9): (10, 10)
(2, 0, 2, (1, 0, 1), 10): (2, 2)
(2, 0, 2, (1, 1, 0), -13): (0, 1)
(2, 0, 2, (1, 1, 0), -10): (0, 1)
(2, 0, 2, (1, 1, 0), -8): (0, 2)
(2, 0, 2, (1, 1, 0), -7): (0, 9)
(2, 0, 2, (1, 1, 0), -6): (1, 13)
(2, 0, 2, (1, 1, 0), -5): (8, 57)
(2, 0, 2, (1, 1, 0), -4): (17, 156)
(2, 0, 2, (1, 1, 0), -3): (58, 332)
(2, 0, 2, (1, 1, 0), -2): (172, 660)
(2, 0, 2, (1, 1, 0), -1): (431, 1191)
(2, 0, 2, (1, 1, 0), 0): (2053, 4323)
(2, 0, 2, (1, 1, 0), 1): (1312, 2195)
(2, 0, 2, (1, 1, 0), 2): (791, 1165)
(2, 0, 2, (1, 1, 0), 3): (522, 680)
(2, 0, 2, (1, 1, 0), 4): (330, 400)
(2, 0, 2, (1, 1, 0), 5): (172, 195)
(2, 0, 2, (1, 1, 0), 6): (101, 110)
(2, 0, 2, (1, 1, 0), 7): (49, 53)
(2, 0, 2, (1, 1, 0), 8): (21, 22)
(2, 0, 2, (1, 1, 0), 9): (7, 7)
(2, 0, 2, (1, 1, 0), 10): (4, 4)
(2, 0, 2, (1, 1, 0), 11): (3, 3)
(2, 0, 2, (1, 1, 1), -8): (0, 2)
(2, 0, 2, (1, 1, 1), -7): (0, 2)
(2, 0, 2, (1, 1, 1), -6): (1, 4)
(2, 0, 2, (1, 1, 1), -5): (4, 17)
(2, 0, 2, (1, 1, 1), -4): (4, 37)
(2, 0, 2, (1, 1, 1), -3): (17, 82)
(2, 0, 2, (1, 1, 1), -2): (68, 178)
(2, 0, 2, (1, 1, 1), -1): (124, 338)
(2, 0, 2, (1, 1, 1), 0): (612, 1216)
(2, 0, 2, (1, 1, 1), 1): (458, 705)
(2, 0, 2, (1, 1, 1), 2): (297, 406)
(2, 0, 2, (1, 1, 1), 3): (174, 227)
(2, 0, 2, (1, 1, 1), 4): (115, 131)
(2, 0, 2, (1, 1, 1), 5): (72, 83)
(2, 0, 2, (1, 1, 1), 6): (40, 41)
(2, 0, 2, (1, 1, 1), 7): (12, 14)
(2, 0, 2, (1, 1, 1), 8): (7, 8)
(2, 0, 2, (1, 1, 1), 9): (3, 3)
(2, 0, 2, (1, 1, 1), 10): (1, 1)
(2, 0, 2, (1, 1, 1), 11): (1, 1)
(2, 1, 0, (0, 0, 0), -13): (0, 1)
(2, 1, 0, (0, 0, 0), -12): (0, 4)
(2, 1, 0, (0, 0, 0), -11): (0, 7)
(2, 1, 0, (0, 0, 0), -10): (0, 26)
(2, 1, 0, (0, 0, 0), -9): (1, 60)
(2, 1, 0, (0, 0, 0), -8): (8, 113)
(2, 1, 0, (0, 0, 0), -7): (17, 269)
(2, 1, 0, (0, 0, 0), -6): (46, 584)
(2, 1, 0, (0, 0, 0), -5): (174, 1011)
(2, 1, 0, (0, 0, 0), -4): (375, 2082)
(2, 1, 0, (0, 0, 0), -3): (1135, 4424)
(2, 1, 0, (0, 0, 0), -2): (3011, 8737)
(2, 1, 0, (0, 0, 0), -1): (7740, 17155)
(2, 1, 0, (0, 0, 0), 0): (23007, 39743)
(2, 1, 0, (0, 0, 0), 1): (8327, 12079)
(2, 1, 0, (0, 0, 0), 2): (4657, 5960)
(2, 1, 0, (0, 0, 0), 3): (2421, 2860)
(2, 1, 0, (0, 0, 0), 4): (1174, 1267)
(2, 1, 0, (0, 0, 0), 5): (474, 506)
(2, 1, 0, (0, 0, 0), 6): (181, 186)
(2, 1, 0, (0, 0, 0), 7): (80, 83)
(2, 1, 0, (0, 0, 0), 8): (38, 38)
(2, 1, 0, (0, 0, 0), 9): (16, 16)
(2, 1, 0, (0, 0, 0), 10): (11, 11)
(2, 1, 0, (0, 0, 0), 11): (3, 3)
(2, 1, 0, (0, 0, 0), 12): (1, 1)
(2, 1, 0, (0, 0, 0), 13): (3, 3)
(2, 1, 0, (0, 0, 1), -8): (0, 1)
(2, 1, 0, (0, 0, 1), -7): (0, 2)
(2, 1, 0, (0, 0, 1), -6): (0, 5)
(2, 1, 0, (0, 0, 1), -5): (3, 9)
(2, 1, 0, (0, 0, 1), -4): (4, 18)
(2, 1, 0, (0, 0, 1), -3): (11, 38)
(2, 1, 0, (0, 0, 1), -2): (40, 99)
(2, 1, 0, (0, 0, 1), -1): (85, 175)
(2, 1, 0, (0, 0, 1), 0): (249, 391)
(2, 1, 0, (0, 0, 1), 1): (183, 229)
(2, 1, 0, (0, 0, 1), 2): (125, 141)
(2, 1, 0, (0, 0, 1), 3): (58, 64)
(2, 1, 0, (0, 0, 1), 4): (31, 31)
(2, 1, 0, (0, 0, 1), 5): (11, 11)
(2, 1, 0, (0, 0, 1), 6): (8, 8)
(2, 1, 0, (0, 0, 1), 7): (2, 2)
(2, 1, 0, (0, 0, 1), 8): (4, 4)
(2, 1, 0, (0, 0, 1), 9): (1, 1)
(2, 1, 0, (0, 0, 1), 11): (1, 1)
(2, 1, 0, (0, 0, 1), 12): (1, 1)
(2, 1, 0, (0, 1, 0), -12): (0, 1)
(2, 1, 0, (0, 1, 0), -10): (0, 2)
(2, 1, 0, (0, 1, 0), -9): (1, 5)
(2, 1, 0, (0, 1, 0), -8): (0, 8)
(2, 1, 0, (0, 1, 0), -7): (2, 14)
(2, 1, 0, (0, 1, 0), -6): (3, 43)
(2, 1, 0, (0, 1, 0), -5): (7, 57)
(2, 1, 0, (0, 1, 0), -4): (29, 137)
(2, 1, 0, (0, 1, 0), -3): (89, 265)
(2, 1, 0, (0, 1, 0), -2): (235, 568)
(2, 1, 0, (0, 1, 0), -1): (627, 1179)
(2, 1, 0, (0, 1, 0), 0): (1774, 2757)
(2, 1, 0, (0, 1, 0), 1): (793, 1056)
(2, 1, 0, (0, 1, 0), 2): (463, 571)
(2, 1, 0, (0, 1, 0), 3): (227, 258)
(2, 1, 0, (0, 1, 0), 4): (123, 130)
(2, 1, 0, (0, 1, 0), 5): (57, 59)
(2, 1, 0, (0, 1, 0), 6): (23, 24)
(2, 1, 0, (0, 1, 0), 7): (9, 9)
(2, 1, 0, (0, 1, 0), 8): (9, 9)
(2, 1, 0, (0, 1, 0), 9): (2, 2)
(2, 1, 0, (0, 1, 0), 10): (5, 5)
(2, 1, 0, (0, 1, 0), 11): (1, 1)
(2, 1, 0, (0, 1, 0), 13): (1, 1)
(2, 1, 0, (0, 1, 1), -11): (0, 1)
(2, 1, 0, (0, 1, 1), -8): (0, 3)
(2, 1, 0, (0, 1, 1), -7): (1, 5)
(2, 1, 0, (0, 1, 1), -6): (2, 6)
(2, 1, 0, (0, 1, 1), -5): (0, 12)
(2, 1, 0, (0, 1, 1), -4): (8, 27)
(2, 1, 0, (0, 1, 1), -3): (20, 52)
(2, 1, 0, (0, 1, 1), -2): (59, 124)
(2, 1, 0, (0, 1, 1), -1): (156, 231)
(2, 1, 0, (0, 1, 1), 0): (350, 501)
(2, 1, 0, (0, 1, 1), 1): (185, 247)
(2, 1, 0, (0, 1, 1), 2): (112, 131)
(2, 1, 0, (0, 1, 1), 3): (57, 58)
(2, 1, 0, (0, 1, 1), 4): (31, 34)
(2, 1, 0, (0, 1, 1), 5): (14, 16)
(2, 1, 0, (0, 1, 1), 6): (6, 7)
(2, 1, 0, (0, 1, 1), 7): (6, 6)
(2, 1, 0, (0, 1, 1), 8): (1, 1)
(2, 1, 0, (0, 1, 1), 9): (3, 3)
(2, 1, 0, (0, 1, 1), 10): (1, 1)
(2, 1, 0, (1, 0, 0), -13): (0, 1)
(2, 1, 0, (1, 0, 0), -12): (0, 1)
(2, 1, 0, (1, 0, 0), -11): (0, 3)
(2, 1, 0, (1, 0, 0), -10): (0, 7)
(2, 1, 0, (1, 0, 0), -9): (0, 18)
(2, 1, 0, (1, 0, 0), -8): (2, 22)
(2, 1, 0, (1, 0, 0), -7): (4, 71)
(2, 1, 0, (1, 0, 0), -6): (16, 156)
(2, 1, 0, (1, 0, 0), -5): (51, 243)
(2, 1, 0, (1, 0, 0), -4): (119, 531)
(2, 1, 0, (1, 0, 0), -3): (329, 1130)
(2, 1, 0, (1, 0, 0), -2): (868, 2282)
(2, 1, 0, (1, 0, 0), -1): (2097, 4341)
(2, 1, 0, (1, 0, 0), 0): (6296, 10259)
(2, 1, 0, (1, 0, 0), 1): (2248, 3201)
(2, 1, 0, (1, 0, 0), 2): (1288, 1605)
(2, 1, 0, (1, 0, 0), 3): (626, 729)
(2, 1, 0, (1, 0, 0), 4): (312, 338)
(2, 1, 0, (1, 0, 0), 5): (137, 149)
(2, 1, 0, (1, 0, 0), 6): (60, 61)
(2, 1, 0, (1, 0, 0), 7): (29, 30)
(2, 1, 0, (1, 0, 0), 8): (14, 14)
(2, 1, 0, (1, 0, 0), 9): (7, 7)
(2, 1, 0, (1, 0, 0), 10): (4, 4)
(2, 1, 0, (1, 0, 0), 11): (4, 4)
(2, 1, 0, (1, 0, 0), 13): (1, 1)
(2, 1, 0, (1, 0, 1), -10): (0, 1)
(2, 1, 0, (1, 0, 1), -9): (0, 1)
(2, 1, 0, (1, 0, 1), -8): (0, 3)
(2, 1, 0, (1, 0, 1), -7): (2, 2)
(2, 1, 0, (1, 0, 1), -6): (1, 12)
(2, 1, 0, (1, 0, 1), -5): (3, 18)
(2, 1, 0, (1, 0, 1), -4): (10, 39)
(2, 1, 0, (1, 0, 1), -3): (33, 77)
(2, 1, 0, (1, 0, 1), -2): (79, 172)
(2, 1, 0, (1, 0, 1), -1): (206, 361)
(2, 1, 0, (1, 0, 1), 0): (590, 856)
(2, 1, 0, (1, 0, 1), 1): (329, 418)
(2, 1, 0, (1, 0, 1), 2): (171, 197)
(2, 1, 0, (1, 0, 1), 3): (82, 89)
(2, 1, 0, (1, 0, 1), 4): (51, 51)
(2, 1, 0, (1, 0, 1), 5): (22, 24)
(2, 1, 0, (1, 0, 1), 6): (14, 15)
(2, 1, 0, (1, 0, 1), 7): (6, 6)
(2, 1, 0, (1, 0, 1), 8): (5, 5)
(2, 1, 0, (1, 0, 1), 9): (1, 1)
(2, 1, 0, (1, 0, 1), 10): (1, 1)
(2, 1, 0, (1, 0, 1), 11): (1, 1)
(2, 1, 0, (1, 1, 0), -11): (0, 1)
(2, 1, 0, (1, 1, 0), -10): (0, 1)
(2, 1, 0, (1, 1, 0), -9): (0, 1)
(2, 1, 0, (1, 1, 0), -8): (1, 9)
(2, 1, 0, (1, 1, 0), -7): (1, 18)
(2, 1, 0, (1, 1, 0), -6): (5, 41)
(2, 1, 0, (1, 1, 0), -5): (20, 74)
(2, 1, 0, (1, 1, 0), -4): (33, 133)
(2, 1, 0, (1, 1, 0), -3): (93, 290)
(2, 1, 0, (1, 1, 0), -2): (222, 553)
(2, 1, 0, (1, 1, 0), -1): (555, 995)
(2, 1, 0, (1, 1, 0), 0): (1474, 2220)
(2, 1, 0, (1, 1, 0), 1): (622, 822)
(2, 1, 0, (1, 1, 0), 2): (352, 414)
(2, 1, 0, (1, 1, 0), 3): (156, 178)
(2, 1, 0, (1, 1, 0), 4): (79, 83)
(2, 1, 0, (1, 1, 0), 5): (27, 28)
(2, 1, 0, (1, 1, 0), 6): (18, 18)
(2, 1, 0, (1, 1, 0), 7): (17, 17)
(2, 1, 0, (1, 1, 0), 8): (3, 3)
(2, 1, 0, (1, 1, 0), 9): (4, 4)
(2, 1, 0, (1, 1, 0), 10): (3, 3)
(2, 1, 0, (1, 1, 0), 11): (1, 1)
(2, 1, 0, (1, 1, 1), -9): (0, 1)
(2, 1, 0, (1, 1, 1), -7): (2, 7)
(2, 1, 0, (1, 1, 1), -6): (3, 10)
(2, 1, 0, (1, 1, 1), -5): (9, 16)
(2, 1, 0, (1, 1, 1), -4): (11, 27)
(2, 1, 0, (1, 1, 1), -3): (28, 66)
(2, 1, 0, (1, 1, 1), -2): (65, 114)
(2, 1, 0, (1, 1, 1), -1): (156, 243)
(2, 1, 0, (1, 1, 1), 0): (366, 488)
(2, 1, 0, (1, 1, 1), 1): (183, 229)
(2, 1, 0, (1, 1, 1), 2): (93, 111)
(2, 1, 0, (1, 1, 1), 3): (55, 59)
(2, 1, 0, (1, 1, 1), 4): (28, 30)
(2, 1, 0, (1, 1, 1), 5): (13, 14)
(2, 1, 0, (1, 1, 1), 6): (4, 4)
(2, 1, 0, (1, 1, 1), 7): (3, 3)
(2, 1, 0, (1, 1, 1), 8): (2, 2)
(2, 1, 1, (0, 0, 0), -12): (0, 2)
(2, 1, 1, (0, 0, 0), -11): (0, 4)
(2, 1, 1, (0, 0, 0), -10): (0, 15)
(2, 1, 1, (0, 0, 0), -9): (0, 36)
(2, 1, 1, (0, 0, 0), -8): (4, 78)
(2, 1, 1, (0, 0, 0), -7): (8, 169)
(2, 1, 1, (0, 0, 0), -6): (26, 378)
(2, 1, 1, (0, 0, 0), -5): (100, 698)
(2, 1, 1, (0, 0, 0), -4): (215, 1404)
(2, 1, 1, (0, 0, 0), -3): (697, 2985)
(2, 1, 1, (0, 0, 0), -2): (1810, 5796)
(2, 1, 1, (0, 0, 0), -1): (4943, 11658)
(2, 1, 1, (0, 0, 0), 0): (14909, 26889)
(2, 1, 1, (0, 0, 0), 1): (6224, 9216)
(2, 1, 1, (0, 0, 0), 2): (3549, 4620)
(2, 1, 1, (0, 0, 0), 3): (1916, 2298)
(2, 1, 1, (0, 0, 0), 4): (935, 1019)
(2, 1, 1, (0, 0, 0), 5): (393, 422)
(2, 1, 1, (0, 0, 0), 6): (189, 194)
(2, 1, 1, (0, 0, 0), 7): (79, 83)
(2, 1, 1, (0, 0, 0), 8): (40, 40)
(2, 1, 1, (0, 0, 0), 9): (16, 16)
(2, 1, 1, (0, 0, 0), 10): (14, 14)
(2, 1, 1, (0, 0, 0), 11): (2, 2)
(2, 1, 1, (0, 0, 0), 12): (1, 1)
(2, 1, 1, (0, 0, 0), 13): (2, 2)
(2, 1, 1, (0, 0, 1), -12): (0, 1)
(2, 1, 1, (0, 0, 1), -9): (0, 2)
(2, 1, 1, (0, 0, 1), -8): (0, 1)
(2, 1, 1, (0, 0, 1), -7): (0, 4)
(2, 1, 1, (0, 0, 1), -6): (1, 18)
(2, 1, 1, (0, 0, 1), -5): (3, 25)
(2, 1, 1, (0, 0, 1), -4): (15, 63)
(2, 1, 1, (0, 0, 1), -3): (34, 126)
(2, 1, 1, (0, 0, 1), -2): (97, 259)
(2, 1, 1, (0, 0, 1), -1): (291, 574)
(2, 1, 1, (0, 0, 1), 0): (845, 1340)
(2, 1, 1, (0, 0, 1), 1): (609, 810)
(2, 1, 1, (0, 0, 1), 2): (384, 463)
(2, 1, 1, (0, 0, 1), 3): (231, 261)
(2, 1, 1, (0, 0, 1), 4): (129, 137)
(2, 1, 1, (0, 0, 1), 5): (67, 69)
(2, 1, 1, (0, 0, 1), 6): (17, 17)
(2, 1, 1, (0, 0, 1), 7): (16, 17)
(2, 1, 1, (0, 0, 1), 8): (7, 7)
(2, 1, 1, (0, 0, 1), 9): (3, 3)
(2, 1, 1, (0, 0, 1), 10): (3, 3)
(2, 1, 1, (0, 0, 1), 11): (1, 1)
(2, 1, 1, (0, 0, 1), 12): (1, 1)
(2, 1, 1, (0, 1, 0), -10): (0, 2)
(2, 1, 1, (0, 1, 0), -9): (1, 3)
(2, 1, 1, (0, 1, 0), -8): (1, 12)
(2, 1, 1, (0, 1, 0), -7): (2, 22)
(2, 1, 1, (0, 1, 0), -6): (5, 54)
(2, 1, 1, (0, 1, 0), -5): (13, 86)
(2, 1, 1, (0, 1, 0), -4): (45, 187)
(2, 1, 1, (0, 1, 0), -3): (124, 376)
(2, 1, 1, (0, 1, 0), -2): (295, 836)
(2, 1, 1, (0, 1, 0), -1): (807, 1647)
(2, 1, 1, (0, 1, 0), 0): (2491, 4127)
(2, 1, 1, (0, 1, 0), 1): (1434, 2028)
(2, 1, 1, (0, 1, 0), 2): (956, 1194)
(2, 1, 1, (0, 1, 0), 3): (569, 641)
(2, 1, 1, (0, 1, 0), 4): (316, 341)
(2, 1, 1, (0, 1, 0), 5): (132, 147)
(2, 1, 1, (0, 1, 0), 6): (72, 72)
(2, 1, 1, (0, 1, 0), 7): (23, 23)
(2, 1, 1, (0, 1, 0), 8): (14, 14)
(2, 1, 1, (0, 1, 0), 9): (2, 2)
(2, 1, 1, (0, 1, 0), 10): (3, 3)
(2, 1, 1, (0, 1, 0), 11): (1, 1)
(2, 1, 1, (0, 1, 0), 13): (1, 1)
(2, 1, 1, (0, 1, 1), -11): (0, 1)
(2, 1, 1, (0, 1, 1), -9): (0, 1)
(2, 1, 1, (0, 1, 1), -8): (0, 2)
(2, 1, 1, (0, 1, 1), -7): (0, 3)
(2, 1, 1, (0, 1, 1), -6): (4, 13)
(2, 1, 1, (0, 1, 1), -5): (4, 24)
(2, 1, 1, (0, 1, 1), -4): (15, 45)
(2, 1, 1, (0, 1, 1), -3): (40, 112)
(2, 1, 1, (0, 1, 1), -2): (92, 252)
(2, 1, 1, (0, 1, 1), -1): (272, 470)
(2, 1, 1, (0, 1, 1), 0): (719, 1087)
(2, 1, 1, (0, 1, 1), 1): (502, 675)
(2, 1, 1, (0, 1, 1), 2): (395, 458)
(2, 1, 1, (0, 1, 1), 3): (199, 229)
(2, 1, 1, (0, 1, 1), 4): (104, 109)
(2, 1, 1, (0, 1, 1), 5): (47, 49)
(2, 1, 1, (0, 1, 1), 6): (24, 25)
(2, 1, 1, (0, 1, 1), 7): (12, 12)
(2, 1, 1, (0, 1, 1), 8): (5, 5)
(2, 1, 1, (0, 1, 1), 9): (2, 2)
(2, 1, 1, (0, 1, 1), 10): (2, 2)
(2, 1, 1, (1, 0, 0), -13): (0, 1)
(2, 1, 1, (1, 0, 0), -12): (0, 2)
(2, 1, 1, (1, 0, 0), -11): (0, 4)
(2, 1, 1, (1, 0, 0), -10): (0, 9)
(2, 1, 1, (1, 0, 0), -9): (0, 24)
(2, 1, 1, (1, 0, 0), -8): (2, 24)
(2, 1, 1, (1, 0, 0), -7): (5, 87)
(2, 1, 1, (1, 0, 0), -6): (26, 176)
(2, 1, 1, (1, 0, 0), -5): (52, 279)
(2, 1, 1, (1, 0, 0), -4): (119, 623)
(2, 1, 1, (1, 0, 0), -3): (339, 1253)
(2, 1, 1, (1, 0, 0), -2): (882, 2455)
(2, 1, 1, (1, 0, 0), -1): (2162, 4762)
(2, 1, 1, (1, 0, 0), 0): (6330, 10929)
(2, 1, 1, (1, 0, 0), 1): (2858, 4104)
(2, 1, 1, (1, 0, 0), 2): (1646, 2065)
(2, 1, 1, (1, 0, 0), 3): (874, 1041)
(2, 1, 1, (1, 0, 0), 4): (465, 511)
(2, 1, 1, (1, 0, 0), 5): (224, 245)
(2, 1, 1, (1, 0, 0), 6): (129, 130)
(2, 1, 1, (1, 0, 0), 7): (41, 43)
(2, 1, 1, (1, 0, 0), 8): (24, 25)
(2, 1, 1, (1, 0, 0), 9): (8, 8)
(2, 1, 1, (1, 0, 0), 10): (3, 3)
(2, 1, 1, (1, 0, 0), 11): (5, 5)
(2, 1, 1, (1, 0, 0), 12): (1, 1)
(2, 1, 1, (1, 0, 0), 13): (2, 2)
(2, 1, 1, (1, 0, 1), -10): (0, 3)
(2, 1, 1, (1, 0, 1), -9): (0, 1)
(2, 1, 1, (1, 0, 1), -8): (0, 5)
(2, 1, 1, (1, 0, 1), -7): (2, 11)
(2, 1, 1, (1, 0, 1), -6): (3, 20)
(2, 1, 1, (1, 0, 1), -5): (5, 32)
(2, 1, 1, (1, 0, 1), -4): (24, 87)
(2, 1, 1, (1, 0, 1), -3): (54, 162)
(2, 1, 1, (1, 0, 1), -2): (136, 321)
(2, 1, 1, (1, 0, 1), -1): (357, 673)
(2, 1, 1, (1, 0, 1), 0): (966, 1493)
(2, 1, 1, (1, 0, 1), 1): (665, 856)
(2, 1, 1, (1, 0, 1), 2): (406, 489)
(2, 1, 1, (1, 0, 1), 3): (220, 252)
(2, 1, 1, (1, 0, 1), 4): (172, 185)
(2, 1, 1, (1, 0, 1), 5): (64, 67)
(2, 1, 1, (1, 0, 1), 6): (23, 24)
(2, 1, 1, (1, 0, 1), 7): (20, 21)
(2, 1, 1, (1, 0, 1), 8): (9, 10)
(2, 1, 1, (1, 0, 1), 9): (1, 1)
(2, 1, 1, (1, 0, 1), 10): (1, 1)
(2, 1, 1, (1, 0, 1), 11): (2, 2)
(2, 1, 1, (1, 1, 0), -11): (0, 1)
(2, 1, 1, (1, 1, 0), -10): (0, 3)
(2, 1, 1, (1, 1, 0), -9): (0, 6)
(2, 1, 1, (1, 1, 0), -8): (1, 10)
(2, 1, 1, (1, 1, 0), -7): (2, 28)
(2, 1, 1, (1, 1, 0), -6): (11, 68)
(2, 1, 1, (1, 1, 0), -5): (21, 107)
(2, 1, 1, (1, 1, 0), -4): (44, 215)
(2, 1, 1, (1, 1, 0), -3): (138, 413)
(2, 1, 1, (1, 1, 0), -2): (310, 824)
(2, 1, 1, (1, 1, 0), -1): (704, 1410)
(2, 1, 1, (1, 1, 0), 0): (1992, 3295)
(2, 1, 1, (1, 1, 0), 1): (1155, 1588)
(2, 1, 1, (1, 1, 0), 2): (646, 796)
(2, 1, 1, (1, 1, 0), 3): (362, 430)
(2, 1, 1, (1, 1, 0), 4): (216, 233)
(2, 1, 1, (1, 1, 0), 5): (132, 139)
(2, 1, 1, (1, 1, 0), 6): (68, 71)
(2, 1, 1, (1, 1, 0), 7): (32, 33)
(2, 1, 1, (1, 1, 0), 8): (13, 13)
(2, 1, 1, (1, 1, 0), 9): (6, 7)
(2, 1, 1, (1, 1, 0), 10): (2, 2)
(2, 1, 1, (1, 1, 0), 11): (2, 2)
(2, 1, 1, (1, 1, 0), 12): (2, 2)
(2, 1, 1, (1, 1, 0), 13): (1, 1)
(2, 1, 1, (1, 1, 1), -10): (0, 2)
(2, 1, 1, (1, 1, 1), -9): (0, 2)
(2, 1, 1, (1, 1, 1), -8): (1, 3)
(2, 1, 1, (1, 1, 1), -7): (2, 6)
(2, 1, 1, (1, 1, 1), -6): (1, 11)
(2, 1, 1, (1, 1, 1), -5): (10, 27)
(2, 1, 1, (1, 1, 1), -4): (13, 43)
(2, 1, 1, (1, 1, 1), -3): (45, 108)
(2, 1, 1, (1, 1, 1), -2): (91, 207)
(2, 1, 1, (1, 1, 1), -1): (246, 427)
(2, 1, 1, (1, 1, 1), 0): (634, 940)
(2, 1, 1, (1, 1, 1), 1): (446, 550)
(2, 1, 1, (1, 1, 1), 2): (253, 302)
(2, 1, 1, (1, 1, 1), 3): (168, 186)
(2, 1, 1, (1, 1, 1), 4): (114, 120)
(2, 1, 1, (1, 1, 1), 5): (69, 72)
(2, 1, 1, (1, 1, 1), 6): (26, 28)
(2, 1, 1, (1, 1, 1), 7): (15, 19)
(2, 1, 1, (1, 1, 1), 8): (9, 11)
(2, 1, 1, (1, 1, 1), 9): (2, 2)
(2, 1, 2, (0, 0, 0), -12): (0, 1)
(2, 1, 2, (0, 0, 0), -11): (0, 2)
(2, 1, 2, (0, 0, 0), -10): (0, 10)
(2, 1, 2, (0, 0, 0), -9): (0, 27)
(2, 1, 2, (0, 0, 0), -8): (2, 60)
(2, 1, 2, (0, 0, 0), -7): (3, 118)
(2, 1, 2, (0, 0, 0), -6): (12, 286)
(2, 1, 2, (0, 0, 0), -5): (64, 506)
(2, 1, 2, (0, 0, 0), -4): (131, 1023)
(2, 1, 2, (0, 0, 0), -3): (492, 2262)
(2, 1, 2, (0, 0, 0), -2): (1284, 4413)
(2, 1, 2, (0, 0, 0), -1): (3520, 8854)
(2, 1, 2, (0, 0, 0), 0): (10889, 20309)
(2, 1, 2, (0, 0, 0), 1): (5216, 7898)
(2, 1, 2, (0, 0, 0), 2): (3034, 4047)
(2, 1, 2, (0, 0, 0), 3): (1739, 2104)
(2, 1, 2, (0, 0, 0), 4): (888, 987)
(2, 1, 2, (0, 0, 0), 5): (485, 519)
(2, 1, 2, (0, 0, 0), 6): (250, 262)
(2, 1, 2, (0, 0, 0), 7): (125, 130)
(2, 1, 2, (0, 0, 0), 8): (57, 58)
(2, 1, 2, (0, 0, 0), 9): (24, 24)
(2, 1, 2, (0, 0, 0), 10): (21, 21)
(2, 1, 2, (0, 0, 0), 11): (7, 7)
(2, 1, 2, (0, 0, 0), 12): (3, 3)
(2, 1, 2, (0, 0, 0), 13): (3, 3)
(2, 1, 2, (0, 0, 0), 15): (1, 1)
(2, 1, 2, (0, 0, 1), -11): (0, 1)
(2, 1, 2, (0, 0, 1), -9): (1, 1)
(2, 1, 2, (0, 0, 1), -8): (0, 4)
(2, 1, 2, (0, 0, 1), -7): (1, 6)
(2, 1, 2, (0, 0, 1), -6): (3, 31)
(2, 1, 2, (0, 0, 1), -5): (6, 50)
(2, 1, 2, (0, 0, 1), -4): (22, 88)
(2, 1, 2, (0, 0, 1), -3): (42, 186)
(2, 1, 2, (0, 0, 1), -2): (110, 361)
(2, 1, 2, (0, 0, 1), -1): (348, 798)
(2, 1, 2, (0, 0, 1), 0): (1096, 1909)
(2, 1, 2, (0, 0, 1), 1): (854, 1246)
(2, 1, 2, (0, 0, 1), 2): (581, 737)
(2, 1, 2, (0, 0, 1), 3): (408, 468)
(2, 1, 2, (0, 0, 1), 4): (233, 251)
(2, 1, 2, (0, 0, 1), 5): (105, 113)
(2, 1, 2, (0, 0, 1), 6): (62, 64)
(2, 1, 2, (0, 0, 1), 7): (22, 23)
(2, 1, 2, (0, 0, 1), 8): (9, 9)
(2, 1, 2, (0, 0, 1), 9): (8, 8)
(2, 1, 2, (0, 0, 1), 10): (4, 4)
(2, 1, 2, (0, 0, 1), 11): (1, 1)
(2, 1, 2, (0, 1, 0), -13): (0, 1)
(2, 1, 2, (0, 1, 0), -12): (0, 1)
(2, 1, 2, (0, 1, 0), -11): (0, 1)
(2, 1, 2, (0, 1, 0), -10): (0, 2)
(2, 1, 2, (0, 1, 0), -9): (0, 7)
(2, 1, 2, (0, 1, 0), -8): (2, 10)
(2, 1, 2, (0, 1, 0), -7): (0, 16)
(2, 1, 2, (0, 1, 0), -6): (6, 50)
(2, 1, 2, (0, 1, 0), -5): (22, 111)
(2, 1, 2, (0, 1, 0), -4): (42, 235)
(2, 1, 2, (0, 1, 0), -3): (126, 468)
(2, 1, 2, (0, 1, 0), -2): (342, 988)
(2, 1, 2, (0, 1, 0), -1): (922, 2044)
(2, 1, 2, (0, 1, 0), 0): (2741, 4829)
(2, 1, 2, (0, 1, 0), 1): (2000, 2968)
(2, 1, 2, (0, 1, 0), 2): (1417, 1823)
(2, 1, 2, (0, 1, 0), 3): (944, 1091)
(2, 1, 2, (0, 1, 0), 4): (522, 573)
(2, 1, 2, (0, 1, 0), 5): (271, 292)
(2, 1, 2, (0, 1, 0), 6): (135, 142)
(2, 1, 2, (0, 1, 0), 7): (59, 59)
(2, 1, 2, (0, 1, 0), 8): (26, 26)
(2, 1, 2, (0, 1, 0), 9): (8, 8)
(2, 1, 2, (0, 1, 0), 10): (5, 5)
(2, 1, 2, (0, 1, 0), 11): (4, 4)
(2, 1, 2, (0, 1, 0), 13): (1, 1)
(2, 1, 2, (0, 1, 0), 16): (1, 1)
(2, 1, 2, (0, 1, 1), -11): (0, 1)
(2, 1, 2, (0, 1, 1), -9): (0, 2)
(2, 1, 2, (0, 1, 1), -8): (0, 4)
(2, 1, 2, (0, 1, 1), -7): (0, 7)
(2, 1, 2, (0, 1, 1), -6): (4, 15)
(2, 1, 2, (0, 1, 1), -5): (5, 30)
(2, 1, 2, (0, 1, 1), -4): (7, 54)
(2, 1, 2, (0, 1, 1), -3): (36, 116)
(2, 1, 2, (0, 1, 1), -2): (92, 273)
(2, 1, 2, (0, 1, 1), -1): (214, 442)
(2, 1, 2, (0, 1, 1), 0): (638, 1070)
(2, 1, 2, (0, 1, 1), 1): (567, 810)
(2, 1, 2, (0, 1, 1), 2): (415, 511)
(2, 1, 2, (0, 1, 1), 3): (231, 267)
(2, 1, 2, (0, 1, 1), 4): (141, 147)
(2, 1, 2, (0, 1, 1), 5): (57, 59)
(2, 1, 2, (0, 1, 1), 6): (36, 38)
(2, 1, 2, (0, 1, 1), 7): (17, 17)
(2, 1, 2, (0, 1, 1), 8): (7, 7)
(2, 1, 2, (0, 1, 1), 9): (5, 5)
(2, 1, 2, (0, 1, 1), 10): (2, 2)
(2, 1, 2, (0, 1, 1), 11): (1, 1)
(2, 1, 2, (1, 0, 0), -12): (0, 2)
(2, 1, 2, (1, 0, 0), -11): (0, 2)
(2, 1, 2, (1, 0, 0), -10): (0, 7)
(2, 1, 2, (1, 0, 0), -9): (0, 19)
(2, 1, 2, (1, 0, 0), -8): (1, 28)
(2, 1, 2, (1, 0, 0), -7): (4, 72)
(2, 1, 2, (1, 0, 0), -6): (10, 153)
(2, 1, 2, (1, 0, 0), -5): (38, 263)
(2, 1, 2, (1, 0, 0), -4): (87, 555)
(2, 1, 2, (1, 0, 0), -3): (246, 1134)
(2, 1, 2, (1, 0, 0), -2): (699, 2251)
(2, 1, 2, (1, 0, 0), -1): (1799, 4390)
(2, 1, 2, (1, 0, 0), 0): (5346, 9689)
(2, 1, 2, (1, 0, 0), 1): (2917, 4344)
(2, 1, 2, (1, 0, 0), 2): (1883, 2455)
(2, 1, 2, (1, 0, 0), 3): (1113, 1325)
(2, 1, 2, (1, 0, 0), 4): (661, 721)
(2, 1, 2, (1, 0, 0), 5): (331, 363)
(2, 1, 2, (1, 0, 0), 6): (190, 198)
(2, 1, 2, (1, 0, 0), 7): (92, 100)
(2, 1, 2, (1, 0, 0), 8): (46, 47)
(2, 1, 2, (1, 0, 0), 9): (20, 20)
(2, 1, 2, (1, 0, 0), 10): (10, 10)
(2, 1, 2, (1, 0, 0), 11): (5, 5)
(2, 1, 2, (1, 0, 0), 12): (4, 4)
(2, 1, 2, (1, 0, 0), 13): (3, 3)
(2, 1, 2, (1, 0, 0), 15): (1, 1)
(2, 1, 2, (1, 0, 1), -10): (0, 2)
(2, 1, 2, (1, 0, 1), -9): (0, 6)
(2, 1, 2, (1, 0, 1), -8): (1, 6)
(2, 1, 2, (1, 0, 1), -7): (1, 8)
(2, 1, 2, (1, 0, 1), -6): (2, 21)
(2, 1, 2, (1, 0, 1), -5): (10, 48)
(2, 1, 2, (1, 0, 1), -4): (15, 89)
(2, 1, 2, (1, 0, 1), -3): (53, 190)
(2, 1, 2, (1, 0, 1), -2): (156, 404)
(2, 1, 2, (1, 0, 1), -1): (327, 738)
(2, 1, 2, (1, 0, 1), 0): (941, 1664)
(2, 1, 2, (1, 0, 1), 1): (809, 1148)
(2, 1, 2, (1, 0, 1), 2): (562, 687)
(2, 1, 2, (1, 0, 1), 3): (361, 416)
(2, 1, 2, (1, 0, 1), 4): (247, 268)
(2, 1, 2, (1, 0, 1), 5): (130, 136)
(2, 1, 2, (1, 0, 1), 6): (53, 54)
(2, 1, 2, (1, 0, 1), 7): (33, 33)
(2, 1, 2, (1, 0, 1), 8): (20, 20)
(2, 1, 2, (1, 0, 1), 9): (4, 4)
(2, 1, 2, (1, 0, 1), 10): (3, 3)
(2, 1, 2, (1, 0, 1), 11): (1, 1)
(2, 1, 2, (1, 0, 1), 14): (1, 1)
(2, 1, 2, (1, 1, 0), -12): (0, 1)
(2, 1, 2, (1, 1, 0), -11): (0, 1)
(2, 1, 2, (1, 1, 0), -9): (0, 6)
(2, 1, 2, (1, 1, 0), -8): (0, 13)
(2, 1, 2, (1, 1, 0), -7): (2, 29)
(2, 1, 2, (1, 1, 0), -6): (4, 67)
(2, 1, 2, (1, 1, 0), -5): (15, 113)
(2, 1, 2, (1, 1, 0), -4): (36, 211)
(2, 1, 2, (1, 1, 0), -3): (119, 452)
(2, 1, 2, (1, 1, 0), -2): (281, 903)
(2, 1, 2, (1, 1, 0), -1): (769, 1718)
(2, 1, 2, (1, 1, 0), 0): (2149, 3766)
(2, 1, 2, (1, 1, 0), 1): (1516, 2181)
(2, 1, 2, (1, 1, 0), 2): (1004, 1245)
(2, 1, 2, (1, 1, 0), 3): (598, 710)
(2, 1, 2, (1, 1, 0), 4): (374, 406)
(2, 1, 2, (1, 1, 0), 5): (199, 218)
(2, 1, 2, (1, 1, 0), 6): (103, 108)
(2, 1, 2, (1, 1, 0), 7): (53, 56)
(2, 1, 2, (1, 1, 0), 8): (21, 22)
(2, 1, 2, (1, 1, 0), 9): (16, 17)
(2, 1, 2, (1, 1, 0), 10): (6, 6)
(2, 1, 2, (1, 1, 0), 11): (5, 5)
(2, 1, 2, (1, 1, 0), 12): (2, 2)
(2, 1, 2, (1, 1, 0), 13): (2, 2)
(2, 1, 2, (1, 1, 1), -11): (0, 1)
(2, 1, 2, (1, 1, 1), -9): (0, 4)
(2, 1, 2, (1, 1, 1), -8): (0, 3)
(2, 1, 2, (1, 1, 1), -7): (1, 9)
(2, 1, 2, (1, 1, 1), -6): (1, 14)
(2, 1, 2, (1, 1, 1), -5): (7, 19)
(2, 1, 2, (1, 1, 1), -4): (9, 51)
(2, 1, 2, (1, 1, 1), -3): (41, 138)
(2, 1, 2, (1, 1, 1), -2): (99, 255)
(2, 1, 2, (1, 1, 1), -1): (226, 485)
(2, 1, 2, (1, 1, 1), 0): (687, 1089)
(2, 1, 2, (1, 1, 1), 1): (500, 701)
(2, 1, 2, (1, 1, 1), 2): (371, 469)
(2, 1, 2, (1, 1, 1), 3): (257, 301)
(2, 1, 2, (1, 1, 1), 4): (154, 166)
(2, 1, 2, (1, 1, 1), 5): (87, 94)
(2, 1, 2, (1, 1, 1), 6): (48, 49)
(2, 1, 2, (1, 1, 1), 7): (25, 26)
(2, 1, 2, (1, 1, 1), 8): (8, 9)
(2, 1, 2, (1, 1, 1), 9): (6, 6)
(3, 0, 0, (0, 0, 0), -16): (0, 1)
(3, 0, 0, (0, 0, 0), -15): (0, 1)
(3, 0, 0, (0, 0, 0), -13): (0, 6)
(3, 0, 0, (0, 0, 0), -12): (0, 8)
(3, 0, 0, (0, 0, 0), -11): (0, 19)
(3, 0, 0, (0, 0, 0), -10): (0, 35)
(3, 0, 0, (0, 0, 0), -9): (1, 65)
(3, 0, 0, (0, 0, 0), -8): (5, 147)
(3, 0, 0, (0, 0, 0), -7): (11, 298)
(3, 0, 0, (0, 0, 0), -6): (26, 635)
(3, 0, 0, (0, 0, 0), -5): (96, 1224)
(3, 0, 0, (0, 0, 0), -4): (230, 2251)
(3, 0, 0, (0, 0, 0), -3): (774, 4513)
(3, 0, 0, (0, 0, 0), -2): (2035, 8366)
(3, 0, 0, (0, 0, 0), -1): (5416, 15633)
(3, 0, 0, (0, 0, 0), 0): (15289, 32539)
(3, 0, 0, (0, 0, 0), 1): (8909, 14744)
(3, 0, 0, (0, 0, 0), 2): (5347, 7568)
(3, 0, 0, (0, 0, 0), 3): (3041, 3871)
(3, 0, 0, (0, 0, 0), 4): (1711, 1964)
(3, 0, 0, (0, 0, 0), 5): (842, 968)
(3, 0, 0, (0, 0, 0), 6): (500, 534)
(3, 0, 0, (0, 0, 0), 7): (231, 237)
(3, 0, 0, (0, 0, 0), 8): (100, 103)
(3, 0, 0, (0, 0, 0), 9): (56, 57)
(3, 0, 0, (0, 0, 0), 10): (25, 25)
(3, 0, 0, (0, 0, 0), 11): (7, 7)
(3, 0, 0, (0, 0, 0), 12): (5, 5)
(3, 0, 0, (0, 0, 0), 13): (1, 1)
(3, 0, 0, (0, 0, 1), -9): (0, 2)
(3, 0, 0, (0, 0, 1), -8): (0, 1)
(3, 0, 0, (0, 0, 1), -7): (0, 2)
(3, 0, 0, (0, 0, 1), -6): (0, 2)
(3, 0, 0, (0, 0, 1), -5): (0, 8)
(3, 0, 0, (0, 0, 1), -4): (5, 16)
(3, 0, 0, (0, 0, 1), -3): (10, 42)
(3, 0, 0, (0, 0, 1), -2): (24, 79)
(3, 0, 0, (0, 0, 1), -1): (75, 155)
(3, 0, 0, (0, 0, 1), 0): (174, 300)
(3, 0, 0, (0, 0, 1), 1): (163, 241)
(3, 0, 0, (0, 0, 1), 2): (125, 156)
(3, 0, 0, (0, 0, 1), 3): (75, 85)
(3, 0, 0, (0, 0, 1), 4): (45, 46)
(3, 0, 0, (0, 0, 1), 5): (21, 21)
(3, 0, 0, (0, 0, 1), 6): (7, 7)
(3, 0, 0, (0, 0, 1), 7): (7, 7)
(3, 0, 0, (0, 0, 1), 8): (4, 4)
(3, 0, 0, (0, 0, 1), 9): (1, 1)
(3, 0, 0, (0, 0, 1), 10): (1, 1)
(3, 0, 0, (0, 1, 0), -13): (0, 1)
(3, 0, 0, (0, 1, 0), -11): (0, 1)
(3, 0, 0, (0, 1, 0), -10): (0, 3)
(3, 0, 0, (0, 1, 0), -9): (0, 2)
(3, 0, 0, (0, 1, 0), -8): (1, 7)
(3, 0, 0, (0, 1, 0), -7): (1, 12)
(3, 0, 0, (0, 1, 0), -6): (1, 40)
(3, 0, 0, (0, 1, 0), -5): (9, 75)
(3, 0, 0, (0, 1, 0), -4): (20, 114)
(3, 0, 0, (0, 1, 0), -3): (54, 263)
(3, 0, 0, (0, 1, 0), -2): (139, 469)
(3, 0, 0, (0, 1, 0), -1): (400, 931)
(3, 0, 0, (0, 1, 0), 0): (1067, 1972)
(3, 0, 0, (0, 1, 0), 1): (771, 1138)
(3, 0, 0, (0, 1, 0), 2): (552, 727)
(3, 0, 0, (0, 1, 0), 3): (329, 411)
(3, 0, 0, (0, 1, 0), 4): (165, 194)
(3, 0, 0, (0, 1, 0), 5): (98, 109)
(3, 0, 0, (0, 1, 0), 6): (49, 50)
(3, 0, 0, (0, 1, 0), 7): (19, 20)
(3, 0, 0, (0, 1, 0), 8): (11, 12)
(3, 0, 0, (0, 1, 0), 9): (3, 4)
(3, 0, 0, (0, 1, 0), 10): (1, 1)
(3, 0, 0, (0, 1, 1), -16): (0, 1)
(3, 0, 0, (0, 1, 1), -9): (0, 1)
(3, 0, 0, (0, 1, 1), -8): (0, 2)
(3, 0, 0, (0, 1, 1), -7): (0, 5)
(3, 0, 0, (0, 1, 1), -6): (2, 4)
(3, 0, 0, (0, 1, 1), -5): (4, 19)
(3, 0, 0, (0, 1, 1), -4): (4, 16)
(3, 0, 0, (0, 1, 1), -3): (11, 39)
(3, 0, 0, (0, 1, 1), -2): (32, 86)
(3, 0, 0, (0, 1, 1), -1): (78, 158)
(3, 0, 0, (0, 1, 1), 0): (197, 318)
(3, 0, 0, (0, 1, 1), 1): (158, 201)
(3, 0, 0, (0, 1, 1), 2): (136, 164)
(3, 0, 0, (0, 1, 1), 3): (83, 95)
(3, 0, 0, (0, 1, 1), 4): (47, 52)
(3, 0, 0, (0, 1, 1), 5): (17, 18)
(3, 0, 0, (0, 1, 1), 6): (14, 15)
(3, 0, 0, (0, 1, 1), 7): (4, 4)
(3, 0, 0, (0, 1, 1), 8): (2, 2)
(3, 0, 0, (0, 1, 1), 9): (2, 2)
(3, 0, 0, (0, 1, 1), 10): (1, 1)
(3, 0, 0, (0, 1, 1), 12): (1, 1)
(3, 0, 0, (1, 0, 0), -16): (0, 1)
(3, 0, 0, (1, 0, 0), -13): (0, 2)
(3, 0, 0, (1, 0, 0), -11): (0, 4)
(3, 0, 0, (1, 0, 0), -10): (0, 5)
(3, 0, 0, (1, 0, 0), -9): (0, 16)
(3, 0, 0, (1, 0, 0), -8): (1, 35)
(3, 0, 0, (1, 0, 0), -7): (2, 67)
(3, 0, 0, (1, 0, 0), -6): (10, 140)
(3, 0, 0, (1, 0, 0), -5): (29, 304)
(3, 0, 0, (1, 0, 0), -4): (79, 517)
(3, 0, 0, (1, 0, 0), -3): (200, 1088)
(3, 0, 0, (1, 0, 0), -2): (548, 1947)
(3, 0, 0, (1, 0, 0), -1): (1390, 3600)
(3, 0, 0, (1, 0, 0), 0): (3966, 7649)
(3, 0, 0, (1, 0, 0), 1): (2286, 3640)
(3, 0, 0, (1, 0, 0), 2): (1457, 1984)
(3, 0, 0, (1, 0, 0), 3): (853, 1034)
(3, 0, 0, (1, 0, 0), 4): (477, 546)
(3, 0, 0, (1, 0, 0), 5): (225, 256)
(3, 0, 0, (1, 0, 0), 6): (140, 148)
(3, 0, 0, (1, 0, 0), 7): (61, 64)
(3, 0, 0, (1, 0, 0), 8): (26, 27)
(3, 0, 0, (1, 0, 0), 9): (19, 19)
(3, 0, 0, (1, 0, 0), 10): (8, 8)
(3, 0, 0, (1, 0, 0), 11): (6, 6)
(3, 0, 0, (1, 0, 0), 12): (2, 2)
(3, 0, 0, (1, 0, 1), -13): (0, 1)
(3, 0, 0, (1, 0, 1), -9): (0, 1)
(3, 0, 0, (1, 0, 1), -8): (1, 3)
(3, 0, 0, (1, 0, 1), -7): (0, 2)
(3, 0, 0, (1, 0, 1), -6): (2, 10)
(3, 0, 0, (1, 0, 1), -5): (3, 19)
(3, 0, 0, (1, 0, 1), -4): (12, 42)
(3, 0, 0, (1, 0, 1), -3): (12, 62)
(3, 0, 0, (1, 0, 1), -2): (50, 136)
(3, 0, 0, (1, 0, 1), -1): (131, 264)
(3, 0, 0, (1, 0, 1), 0): (363, 579)
(3, 0, 0, (1, 0, 1), 1): (289, 408)
(3, 0, 0, (1, 0, 1), 2): (215, 277)
(3, 0, 0, (1, 0, 1), 3): (139, 168)
(3, 0, 0, (1, 0, 1), 4): (58, 62)
(3, 0, 0, (1, 0, 1), 5): (33, 34)
(3, 0, 0, (1, 0, 1), 6): (19, 19)
(3, 0, 0, (1, 0, 1), 7): (7, 7)
(3, 0, 0, (1, 0, 1), 8): (6, 6)
(3, 0, 0, (1, 0, 1), 9): (2, 2)
(3, 0, 0, (1, 1, 0), -10): (0, 2)
(3, 0, 0, (1, 1, 0), -8): (0, 8)
(3, 0, 0, (1, 1, 0), -7): (3, 22)
(3, 0, 0, (1, 1, 0), -6): (6, 40)
(3, 0, 0, (1, 1, 0), -5): (11, 72)
(3, 0, 0, (1, 1, 0), -4): (26, 121)
(3, 0, 0, (1, 1, 0), -3): (56, 221)
(3, 0, 0, (1, 1, 0), -2): (145, 411)
(3, 0, 0, (1, 1, 0), -1): (306, 696)
(3, 0, 0, (1, 1, 0), 0): (778, 1320)
(3, 0, 0, (1, 1, 0), 1): (565, 843)
(3, 0, 0, (1, 1, 0), 2): (415, 527)
(3, 0, 0, (1, 1, 0), 3): (245, 291)
(3, 0, 0, (1, 1, 0), 4): (139, 166)
(3, 0, 0, (1, 1, 0), 5): (84, 90)
(3, 0, 0, (1, 1, 0), 6): (42, 43)
(3, 0, 0, (1, 1, 0), 7): (23, 24)
(3, 0, 0, (1, 1, 0), 8): (7, 8)
(3, 0, 0, (1, 1, 0), 9): (3, 3)
(3, 0, 0, (1, 1, 0), 10): (2, 2)
(3, 0, 0, (1, 1, 0), 11): (1, 1)
(3, 0, 0, (1, 1, 1), -10): (0, 1)
(3, 0, 0, (1, 1, 1), -8): (1, 4)
(3, 0, 0, (1, 1, 1), -7): (0, 8)
(3, 0, 0, (1, 1, 1), -6): (2, 9)
(3, 0, 0, (1, 1, 1), -5): (1, 14)
(3, 0, 0, (1, 1, 1), -4): (3, 22)
(3, 0, 0, (1, 1, 1), -3): (14, 45)
(3, 0, 0, (1, 1, 1), -2): (42, 90)
(3, 0, 0, (1, 1, 1), -1): (88, 147)
(3, 0, 0, (1, 1, 1), 0): (207, 292)
(3, 0, 0, (1, 1, 1), 1): (166, 220)
(3, 0, 0, (1, 1, 1), 2): (119, 141)
(3, 0, 0, (1, 1, 1), 3): (76, 88)
(3, 0, 0, (1, 1, 1), 4): (50, 55)
(3, 0, 0, (1, 1, 1), 5): (27, 30)
(3, 0, 0, (1, 1, 1), 6): (6, 6)
(3, 0, 0, (1, 1, 1), 7): (3, 4)
(3, 0, 0, (1, 1, 1), 8): (1, 2)
(3, 0, 0, (1, 1, 1), 10): (1, 1)
(3, 0, 0, (1, 1, 1), 11): (1, 1)
(3, 0, 1, (0, 0, 0), -15): (0, 1)
(3, 0, 1, (0, 0, 0), -13): (0, 4)
(3, 0, 1, (0, 0, 0), -12): (0, 7)
(3, 0, 1, (0, 0, 0), -11): (0, 14)
(3, 0, 1, (0, 0, 0), -10): (0, 28)
(3, 0, 1, (0, 0, 0), -9): (1, 45)
(3, 0, 1, (0, 0, 0), -8): (3, 107)
(3, 0, 1, (0, 0, 0), -7): (9, 217)
(3, 0, 1, (0, 0, 0), -6): (13, 447)
(3, 0, 1, (0, 0, 0), -5): (57, 842)
(3, 0, 1, (0, 0, 0), -4): (133, 1619)
(3, 0, 1, (0, 0, 0), -3): (516, 3201)
(3, 0, 1, (0, 0, 0), -2): (1338, 6039)
(3, 0, 1, (0, 0, 0), -1): (3696, 11374)
(3, 0, 1, (0, 0, 0), 0): (10521, 23571)
(3, 0, 1, (0, 0, 0), 1): (6400, 10958)
(3, 0, 1, (0, 0, 0), 2): (3937, 5757)
(3, 0, 1, (0, 0, 0), 3): (2403, 3120)
(3, 0, 1, (0, 0, 0), 4): (1447, 1684)
(3, 0, 1, (0, 0, 0), 5): (743, 855)
(3, 0, 1, (0, 0, 0), 6): (435, 468)
(3, 0, 1, (0, 0, 0), 7): (196, 199)
(3, 0, 1, (0, 0, 0), 8): (94, 97)
(3, 0, 1, (0, 0, 0), 9): (44, 44)
(3, 0, 1, (0, 0, 0), 10): (20, 20)
(3, 0, 1, (0, 0, 0), 11): (7, 7)
(3, 0, 1, (0, 0, 0), 12): (4, 4)
(3, 0, 1, (0, 0, 0), 13): (1, 1)
(3, 0, 1, (0, 0, 1), -15): (0, 1)
(3, 0, 1, (0, 0, 1), -10): (0, 1)
(3, 0, 1, (0, 0, 1), -9): (0, 2)
(3, 0, 1, (0, 0, 1), -8): (0, 5)
(3, 0, 1, (0, 0, 1), -7): (0, 5)
(3, 0, 1, (0, 0, 1), -6): (1, 23)
(3, 0, 1, (0, 0, 1), -5): (3, 19)
(3, 0, 1, (0, 0, 1), -4): (12, 65)
(3, 0, 1, (0, 0, 1), -3): (35, 133)
(3, 0, 1, (0, 0, 1), -2): (76, 274)
(3, 0, 1, (0, 0, 1), -1): (222, 552)
(3, 0, 1, (0, 0, 1), 0): (648, 1241)
(3, 0, 1, (0, 0, 1), 1): (587, 904)
(3, 0, 1, (0, 0, 1), 2): (376, 495)
(3, 0, 1, (0, 0, 1), 3): (265, 329)
(3, 0, 1, (0, 0, 1), 4): (143, 164)
(3, 0, 1, (0, 0, 1), 5): (76, 84)
(3, 0, 1, (0, 0, 1), 6): (33, 36)
(3, 0, 1, (0, 0, 1), 7): (18, 19)
(3, 0, 1, (0, 0, 1), 8): (10, 11)
(3, 0, 1, (0, 0, 1), 9): (3, 3)
(3, 0, 1, (0, 0, 1), 11): (1, 1)
(3, 0, 1, (0, 1, 0), -11): (0, 1)
(3, 0, 1, (0, 1, 0), -10): (0, 4)
(3, 0, 1, (0, 1, 0), -9): (0, 6)
(3, 0, 1, (0, 1, 0), -8): (1, 16)
(3, 0, 1, (0, 1, 0), -7): (0, 21)
(3, 0, 1, (0, 1, 0), -6): (2, 53)
(3, 0, 1, (0, 1, 0), -5): (5, 105)
(3, 0, 1, (0, 1, 0), -4): (22, 207)
(3, 0, 1, (0, 1, 0), -3): (82, 440)
(3, 0, 1, (0, 1, 0), -2): (233, 887)
(3, 0, 1, (0, 1, 0), -1): (709, 1910)
(3, 0, 1, (0, 1, 0), 0): (2068, 4114)
(3, 0, 1, (0, 1, 0), 1): (1469, 2313)
(3, 0, 1, (0, 1, 0), 2): (969, 1366)
(3, 0, 1, (0, 1, 0), 3): (593, 739)
(3, 0, 1, (0, 1, 0), 4): (372, 421)
(3, 0, 1, (0, 1, 0), 5): (171, 197)
(3, 0, 1, (0, 1, 0), 6): (102, 111)
(3, 0, 1, (0, 1, 0), 7): (38, 40)
(3, 0, 1, (0, 1, 0), 8): (22, 23)
(3, 0, 1, (0, 1, 0), 9): (7, 8)
(3, 0, 1, (0, 1, 0), 10): (4, 4)
(3, 0, 1, (0, 1, 0), 11): (5, 5)
(3, 0, 1, (0, 1, 0), 12): (1, 1)
(3, 0, 1, (0, 1, 1), -11): (0, 1)
(3, 0, 1, (0, 1, 1), -8): (0, 4)
(3, 0, 1, (0, 1, 1), -7): (1, 7)
(3, 0, 1, (0, 1, 1), -6): (0, 16)
(3, 0, 1, (0, 1, 1), -5): (6, 31)
(3, 0, 1, (0, 1, 1), -4): (10, 57)
(3, 0, 1, (0, 1, 1), -3): (43, 122)
(3, 0, 1, (0, 1, 1), -2): (66, 212)
(3, 0, 1, (0, 1, 1), -1): (184, 434)
(3, 0, 1, (0, 1, 1), 0): (500, 891)
(3, 0, 1, (0, 1, 1), 1): (419, 630)
(3, 0, 1, (0, 1, 1), 2): (300, 397)
(3, 0, 1, (0, 1, 1), 3): (206, 243)
(3, 0, 1, (0, 1, 1), 4): (143, 164)
(3, 0, 1, (0, 1, 1), 5): (65, 74)
(3, 0, 1, (0, 1, 1), 6): (42, 44)
(3, 0, 1, (0, 1, 1), 7): (11, 12)
(3, 0, 1, (0, 1, 1), 8): (8, 8)
(3, 0, 1, (0, 1, 1), 9): (5, 6)
(3, 0, 1, (0, 1, 1), 10): (1, 1)
(3, 0, 1, (0, 1, 1), 11): (3, 3)
(3, 0, 1, (0, 1, 1), 12): (1, 1)
(3, 0, 1, (1, 0, 0), -14): (0, 1)
(3, 0, 1, (1, 0, 0), -13): (0, 1)
(3, 0, 1, (1, 0, 0), -12): (0, 2)
(3, 0, 1, (1, 0, 0), -11): (0, 8)
(3, 0, 1, (1, 0, 0), -10): (0, 7)
(3, 0, 1, (1, 0, 0), -9): (1, 22)
(3, 0, 1, (1, 0, 0), -8): (0, 40)
(3, 0, 1, (1, 0, 0), -7): (3, 90)
(3, 0, 1, (1, 0, 0), -6): (7, 182)
(3, 0, 1, (1, 0, 0), -5): (29, 348)
(3, 0, 1, (1, 0, 0), -4): (74, 633)
(3, 0, 1, (1, 0, 0), -3): (254, 1279)
(3, 0, 1, (1, 0, 0), -2): (526, 2240)
(3, 0, 1, (1, 0, 0), -1): (1493, 4203)
(3, 0, 1, (1, 0, 0), 0): (3991, 8429)
(3, 0, 1, (1, 0, 0), 1): (2797, 4664)
(3, 0, 1, (1, 0, 0), 2): (1881, 2715)
(3, 0, 1, (1, 0, 0), 3): (1107, 1391)
(3, 0, 1, (1, 0, 0), 4): (701, 811)
(3, 0, 1, (1, 0, 0), 5): (345, 393)
(3, 0, 1, (1, 0, 0), 6): (203, 222)
(3, 0, 1, (1, 0, 0), 7): (98, 102)
(3, 0, 1, (1, 0, 0), 8): (47, 47)
(3, 0, 1, (1, 0, 0), 9): (22, 23)
(3, 0, 1, (1, 0, 0), 10): (11, 11)
(3, 0, 1, (1, 0, 0), 11): (5, 5)
(3, 0, 1, (1, 0, 0), 12): (2, 2)
(3, 0, 1, (1, 0, 0), 13): (1, 1)
(3, 0, 1, (1, 0, 1), -13): (0, 1)
(3, 0, 1, (1, 0, 1), -11): (0, 1)
(3, 0, 1, (1, 0, 1), -10): (0, 1)
(3, 0, 1, (1, 0, 1), -8): (0, 4)
(3, 0, 1, (1, 0, 1), -7): (0, 7)
(3, 0, 1, (1, 0, 1), -6): (2, 25)
(3, 0, 1, (1, 0, 1), -5): (7, 43)
(3, 0, 1, (1, 0, 1), -4): (18, 83)
(3, 0, 1, (1, 0, 1), -3): (49, 173)
(3, 0, 1, (1, 0, 1), -2): (105, 316)
(3, 0, 1, (1, 0, 1), -1): (237, 597)
(3, 0, 1, (1, 0, 1), 0): (661, 1158)
(3, 0, 1, (1, 0, 1), 1): (631, 929)
(3, 0, 1, (1, 0, 1), 2): (446, 609)
(3, 0, 1, (1, 0, 1), 3): (288, 360)
(3, 0, 1, (1, 0, 1), 4): (172, 196)
(3, 0, 1, (1, 0, 1), 5): (78, 85)
(3, 0, 1, (1, 0, 1), 6): (39, 42)
(3, 0, 1, (1, 0, 1), 7): (24, 25)
(3, 0, 1, (1, 0, 1), 8): (15, 15)
(3, 0, 1, (1, 0, 1), 9): (7, 8)
(3, 0, 1, (1, 0, 1), 10): (2, 2)
(3, 0, 1, (1, 0, 1), 11): (3, 3)
(3, 0, 1, (1, 0, 1), 15): (1, 1)
(3, 0, 1, (1, 1, 0), -14): (0, 1)
(3, 0, 1, (1, 1, 0), -12): (0, 2)
(3, 0, 1, (1, 1, 0), -11): (0, 2)
(3, 0, 1, (1, 1, 0), -10): (0, 3)
(3, 0, 1, (1, 1, 0), -9): (0, 7)
(3, 0, 1, (1, 1, 0), -8): (0, 11)
(3, 0, 1, (1, 1, 0), -7): (4, 29)
(3, 0, 1, (1, 1, 0), -6): (1, 63)
(3, 0, 1, (1, 1, 0), -5): (8, 124)
(3, 0, 1, (1, 1, 0), -4): (39, 197)
(3, 0, 1, (1, 1, 0), -3): (85, 383)
(3, 0, 1, (1, 1, 0), -2): (210, 687)
(3, 0, 1, (1, 1, 0), -1): (493, 1209)
(3, 0, 1, (1, 1, 0), 0): (1165, 2270)
(3, 0, 1, (1, 1, 0), 1): (1036, 1627)
(3, 0, 1, (1, 1, 0), 2): (805, 1100)
(3, 0, 1, (1, 1, 0), 3): (470, 590)
(3, 0, 1, (1, 1, 0), 4): (292, 352)
(3, 0, 1, (1, 1, 0), 5): (169, 184)
(3, 0, 1, (1, 1, 0), 6): (97, 101)
(3, 0, 1, (1, 1, 0), 7): (52, 53)
(3, 0, 1, (1, 1, 0), 8): (25, 26)
(3, 0, 1, (1, 1, 0), 9): (11, 12)
(3, 0, 1, (1, 1, 0), 10): (5, 5)
(3, 0, 1, (1, 1, 0), 11): (4, 5)
(3, 0, 1, (1, 1, 0), 12): (2, 3)
(3, 0, 1, (1, 1, 0), 13): (1, 1)
(3, 0, 1, (1, 1, 1), -10): (0, 1)
(3, 0, 1, (1, 1, 1), -9): (0, 1)
(3, 0, 1, (1, 1, 1), -8): (1, 7)
(3, 0, 1, (1, 1, 1), -7): (0, 7)
(3, 0, 1, (1, 1, 1), -6): (0, 15)
(3, 0, 1, (1, 1, 1), -5): (4, 33)
(3, 0, 1, (1, 1, 1), -4): (5, 50)
(3, 0, 1, (1, 1, 1), -3): (29, 93)
(3, 0, 1, (1, 1, 1), -2): (57, 172)
(3, 0, 1, (1, 1, 1), -1): (143, 330)
(3, 0, 1, (1, 1, 1), 0): (408, 677)
(3, 0, 1, (1, 1, 1), 1): (406, 598)
(3, 0, 1, (1, 1, 1), 2): (356, 463)
(3, 0, 1, (1, 1, 1), 3): (217, 262)
(3, 0, 1, (1, 1, 1), 4): (151, 173)
(3, 0, 1, (1, 1, 1), 5): (74, 84)
(3, 0, 1, (1, 1, 1), 6): (35, 35)
(3, 0, 1, (1, 1, 1), 7): (17, 18)
(3, 0, 1, (1, 1, 1), 8): (4, 4)
(3, 0, 1, (1, 1, 1), 9): (5, 6)
(3, 0, 1, (1, 1, 1), 10): (4, 4)
(3, 0, 1, (1, 1, 1), 11): (5, 5)
(3, 0, 1, (1, 1, 1), 12): (1, 1)
(3, 0, 1, (1, 1, 1), 13): (1, 1)
(3, 0, 2, (0, 0, 0), -15): (0, 1)
(3, 0, 2, (0, 0, 0), -13): (0, 4)
(3, 0, 2, (0, 0, 0), -12): (0, 5)
(3, 0, 2, (0, 0, 0), -11): (0, 7)
(3, 0, 2, (0, 0, 0), -10): (0, 22)
(3, 0, 2, (0, 0, 0), -9): (0, 33)
(3, 0, 2, (0, 0, 0), -8): (2, 80)
(3, 0, 2, (0, 0, 0), -7): (6, 161)
(3, 0, 2, (0, 0, 0), -6): (7, 331)
(3, 0, 2, (0, 0, 0), -5): (43, 672)
(3, 0, 2, (0, 0, 0), -4): (85, 1218)
(3, 0, 2, (0, 0, 0), -3): (349, 2502)
(3, 0, 2, (0, 0, 0), -2): (1009, 4708)
(3, 0, 2, (0, 0, 0), -1): (2677, 8737)
(3, 0, 2, (0, 0, 0), 0): (7995, 18488)
(3, 0, 2, (0, 0, 0), 1): (5052, 8934)
(3, 0, 2, (0, 0, 0), 2): (3380, 5020)
(3, 0, 2, (0, 0, 0), 3): (2243, 2960)
(3, 0, 2, (0, 0, 0), 4): (1454, 1725)
(3, 0, 2, (0, 0, 0), 5): (747, 860)
(3, 0, 2, (0, 0, 0), 6): (445, 478)
(3, 0, 2, (0, 0, 0), 7): (204, 213)
(3, 0, 2, (0, 0, 0), 8): (90, 93)
(3, 0, 2, (0, 0, 0), 9): (54, 55)
(3, 0, 2, (0, 0, 0), 10): (25, 25)
(3, 0, 2, (0, 0, 0), 11): (11, 11)
(3, 0, 2, (0, 0, 0), 12): (5, 5)
(3, 0, 2, (0, 0, 0), 13): (2, 2)
(3, 0, 2, (0, 0, 1), -11): (0, 1)
(3, 0, 2, (0, 0, 1), -10): (0, 3)
(3, 0, 2, (0, 0, 1), -9): (0, 1)
(3, 0, 2, (0, 0, 1), -8): (1, 7)
(3, 0, 2, (0, 0, 1), -7): (0, 12)
(3, 0, 2, (0, 0, 1), -6): (1, 20)
(3, 0, 2, (0, 0, 1), -5): (4, 42)
(3, 0, 2, (0, 0, 1), -4): (12, 95)
(3, 0, 2, (0, 0, 1), -3): (34, 209)
(3, 0, 2, (0, 0, 1), -2): (100, 413)
(3, 0, 2, (0, 0, 1), -1): (287, 844)
(3, 0, 2, (0, 0, 1), 0): (841, 1814)
(3, 0, 2, (0, 0, 1), 1): (808, 1324)
(3, 0, 2, (0, 0, 1), 2): (560, 800)
(3, 0, 2, (0, 0, 1), 3): (362, 468)
(3, 0, 2, (0, 0, 1), 4): (234, 271)
(3, 0, 2, (0, 0, 1), 5): (130, 146)
(3, 0, 2, (0, 0, 1), 6): (63, 71)
(3, 0, 2, (0, 0, 1), 7): (42, 44)
(3, 0, 2, (0, 0, 1), 8): (25, 26)
(3, 0, 2, (0, 0, 1), 9): (8, 8)
(3, 0, 2, (0, 0, 1), 10): (4, 5)
(3, 0, 2, (0, 0, 1), 11): (1, 1)
(3, 0, 2, (0, 1, 0), -13): (0, 1)
(3, 0, 2, (0, 1, 0), -12): (0, 2)
(3, 0, 2, (0, 1, 0), -11): (0, 3)
(3, 0, 2, (0, 1, 0), -10): (0, 6)
(3, 0, 2, (0, 1, 0), -9): (0, 12)
(3, 0, 2, (0, 1, 0), -8): (1, 14)
(3, 0, 2, (0, 1, 0), -7): (0, 34)
(3, 0, 2, (0, 1, 0), -6): (3, 69)
(3, 0, 2, (0, 1, 0), -5): (6, 137)
(3, 0, 2, (0, 1, 0), -4): (18, 243)
(3, 0, 2, (0, 1, 0), -3): (103, 612)
(3, 0, 2, (0, 1, 0), -2): (267, 1104)
(3, 0, 2, (0, 1, 0), -1): (827, 2343)
(3, 0, 2, (0, 1, 0), 0): (2239, 4815)
(3, 0, 2, (0, 1, 0), 1): (1717, 2956)
(3, 0, 2, (0, 1, 0), 2): (1318, 1900)
(3, 0, 2, (0, 1, 0), 3): (832, 1081)
(3, 0, 2, (0, 1, 0), 4): (573, 652)
(3, 0, 2, (0, 1, 0), 5): (272, 320)
(3, 0, 2, (0, 1, 0), 6): (190, 202)
(3, 0, 2, (0, 1, 0), 7): (86, 90)
(3, 0, 2, (0, 1, 0), 8): (38, 38)
(3, 0, 2, (0, 1, 0), 9): (16, 17)
(3, 0, 2, (0, 1, 0), 10): (11, 11)
(3, 0, 2, (0, 1, 0), 11): (4, 4)
(3, 0, 2, (0, 1, 0), 12): (6, 6)
(3, 0, 2, (0, 1, 0), 13): (4, 4)
(3, 0, 2, (0, 1, 0), 14): (1, 1)
(3, 0, 2, (0, 1, 1), -14): (0, 1)
(3, 0, 2, (0, 1, 1), -11): (0, 2)
(3, 0, 2, (0, 1, 1), -10): (0, 1)
(3, 0, 2, (0, 1, 1), -9): (0, 1)
(3, 0, 2, (0, 1, 1), -8): (0, 3)
(3, 0, 2, (0, 1, 1), -7): (0, 12)
(3, 0, 2, (0, 1, 1), -6): (0, 19)
(3, 0, 2, (0, 1, 1), -5): (2, 26)
(3, 0, 2, (0, 1, 1), -4): (11, 56)
(3, 0, 2, (0, 1, 1), -3): (28, 117)
(3, 0, 2, (0, 1, 1), -2): (60, 211)
(3, 0, 2, (0, 1, 1), -1): (140, 403)
(3, 0, 2, (0, 1, 1), 0): (367, 809)
(3, 0, 2, (0, 1, 1), 1): (388, 622)
(3, 0, 2, (0, 1, 1), 2): (345, 477)
(3, 0, 2, (0, 1, 1), 3): (225, 281)
(3, 0, 2, (0, 1, 1), 4): (151, 188)
(3, 0, 2, (0, 1, 1), 5): (99, 109)
(3, 0, 2, (0, 1, 1), 6): (85, 88)
(3, 0, 2, (0, 1, 1), 7): (27, 28)
(3, 0, 2, (0, 1, 1), 8): (12, 12)
(3, 0, 2, (0, 1, 1), 9): (9, 10)
(3, 0, 2, (0, 1, 1), 10): (4, 4)
(3, 0, 2, (0, 1, 1), 11): (6, 6)
(3, 0, 2, (0, 1, 1), 12): (2, 2)
(3, 0, 2, (1, 0, 0), -15): (0, 1)
(3, 0, 2, (1, 0, 0), -13): (0, 1)
(3, 0, 2, (1, 0, 0), -12): (0, 2)
(3, 0, 2, (1, 0, 0), -11): (0, 3)
(3, 0, 2, (1, 0, 0), -10): (0, 8)
(3, 0, 2, (1, 0, 0), -9): (0, 25)
(3, 0, 2, (1, 0, 0), -8): (1, 34)
(3, 0, 2, (1, 0, 0), -7): (3, 89)
(3, 0, 2, (1, 0, 0), -6): (7, 177)
(3, 0, 2, (1, 0, 0), -5): (28, 320)
(3, 0, 2, (1, 0, 0), -4): (55, 595)
(3, 0, 2, (1, 0, 0), -3): (188, 1184)
(3, 0, 2, (1, 0, 0), -2): (483, 2173)
(3, 0, 2, (1, 0, 0), -1): (1288, 3927)
(3, 0, 2, (1, 0, 0), 0): (3579, 8123)
(3, 0, 2, (1, 0, 0), 1): (2877, 5051)
(3, 0, 2, (1, 0, 0), 2): (2075, 3041)
(3, 0, 2, (1, 0, 0), 3): (1326, 1735)
(3, 0, 2, (1, 0, 0), 4): (852, 1017)
(3, 0, 2, (1, 0, 0), 5): (487, 557)
(3, 0, 2, (1, 0, 0), 6): (256, 280)
(3, 0, 2, (1, 0, 0), 7): (155, 161)
(3, 0, 2, (1, 0, 0), 8): (72, 74)
(3, 0, 2, (1, 0, 0), 9): (42, 43)
(3, 0, 2, (1, 0, 0), 10): (15, 15)
(3, 0, 2, (1, 0, 0), 11): (7, 8)
(3, 0, 2, (1, 0, 0), 12): (1, 1)
(3, 0, 2, (1, 0, 0), 14): (1, 1)
(3, 0, 2, (1, 0, 1), -13): (0, 1)
(3, 0, 2, (1, 0, 1), -12): (0, 1)
(3, 0, 2, (1, 0, 1), -10): (0, 1)
(3, 0, 2, (1, 0, 1), -9): (0, 4)
(3, 0, 2, (1, 0, 1), -8): (0, 2)
(3, 0, 2, (1, 0, 1), -7): (1, 19)
(3, 0, 2, (1, 0, 1), -6): (2, 35)
(3, 0, 2, (1, 0, 1), -5): (6, 57)
(3, 0, 2, (1, 0, 1), -4): (17, 111)
(3, 0, 2, (1, 0, 1), -3): (37, 184)
(3, 0, 2, (1, 0, 1), -2): (97, 355)
(3, 0, 2, (1, 0, 1), -1): (243, 666)
(3, 0, 2, (1, 0, 1), 0): (704, 1456)
(3, 0, 2, (1, 0, 1), 1): (720, 1167)
(3, 0, 2, (1, 0, 1), 2): (589, 832)
(3, 0, 2, (1, 0, 1), 3): (381, 491)
(3, 0, 2, (1, 0, 1), 4): (255, 296)
(3, 0, 2, (1, 0, 1), 5): (171, 183)
(3, 0, 2, (1, 0, 1), 6): (66, 71)
(3, 0, 2, (1, 0, 1), 7): (52, 55)
(3, 0, 2, (1, 0, 1), 8): (28, 28)
(3, 0, 2, (1, 0, 1), 9): (12, 12)
(3, 0, 2, (1, 0, 1), 10): (4, 4)
(3, 0, 2, (1, 0, 1), 11): (5, 5)
(3, 0, 2, (1, 0, 1), 13): (1, 1)
(3, 0, 2, (1, 0, 1), 15): (1, 1)
(3, 0, 2, (1, 1, 0), -15): (0, 1)
(3, 0, 2, (1, 1, 0), -12): (0, 3)
(3, 0, 2, (1, 1, 0), -11): (0, 2)
(3, 0, 2, (1, 1, 0), -10): (0, 6)
(3, 0, 2, (1, 1, 0), -9): (0, 8)
(3, 0, 2, (1, 1, 0), -8): (0, 11)
(3, 0, 2, (1, 1, 0), -7): (1, 38)
(3, 0, 2, (1, 1, 0), -6): (3, 69)
(3, 0, 2, (1, 1, 0), -5): (12, 132)
(3, 0, 2, (1, 1, 0), -4): (20, 212)
(3, 0, 2, (1, 1, 0), -3): (79, 467)
(3, 0, 2, (1, 1, 0), -2): (207, 803)
(3, 0, 2, (1, 1, 0), -1): (540, 1444)
(3, 0, 2, (1, 1, 0), 0): (1350, 2842)
(3, 0, 2, (1, 1, 0), 1): (1280, 2180)
(3, 0, 2, (1, 1, 0), 2): (1037, 1464)
(3, 0, 2, (1, 1, 0), 3): (733, 914)
(3, 0, 2, (1, 1, 0), 4): (499, 572)
(3, 0, 2, (1, 1, 0), 5): (263, 300)
(3, 0, 2, (1, 1, 0), 6): (160, 171)
(3, 0, 2, (1, 1, 0), 7): (87, 89)
(3, 0, 2, (1, 1, 0), 8): (50, 52)
(3, 0, 2, (1, 1, 0), 9): (19, 20)
(3, 0, 2, (1, 1, 0), 10): (9, 9)
(3, 0, 2, (1, 1, 0), 11): (2, 2)
(3, 0, 2, (1, 1, 0), 12): (2, 3)
(3, 0, 2, (1, 1, 0), 14): (1, 1)
(3, 0, 2, (1, 1, 1), -11): (0, 1)
(3, 0, 2, (1, 1, 1), -10): (0, 2)
(3, 0, 2, (1, 1, 1), -9): (0, 2)
(3, 0, 2, (1, 1, 1), -8): (1, 6)
(3, 0, 2, (1, 1, 1), -7): (0, 14)
(3, 0, 2, (1, 1, 1), -6): (0, 9)
(3, 0, 2, (1, 1, 1), -5): (5, 30)
(3, 0, 2, (1, 1, 1), -4): (9, 64)
(3, 0, 2, (1, 1, 1), -3): (20, 114)
(3, 0, 2, (1, 1, 1), -2): (64, 212)
(3, 0, 2, (1, 1, 1), -1): (172, 435)
(3, 0, 2, (1, 1, 1), 0): (427, 842)
(3, 0, 2, (1, 1, 1), 1): (423, 710)
(3, 0, 2, (1, 1, 1), 2): (406, 566)
(3, 0, 2, (1, 1, 1), 3): (268, 326)
(3, 0, 2, (1, 1, 1), 4): (205, 238)
(3, 0, 2, (1, 1, 1), 5): (99, 115)
(3, 0, 2, (1, 1, 1), 6): (60, 61)
(3, 0, 2, (1, 1, 1), 7): (36, 37)
(3, 0, 2, (1, 1, 1), 8): (18, 18)
(3, 0, 2, (1, 1, 1), 9): (6, 6)
(3, 0, 2, (1, 1, 1), 10): (2, 2)
(3, 0, 2, (1, 1, 1), 11): (4, 4)
(3, 1, 0, (0, 0, 0), -15): (0, 1)
(3, 1, 0, (0, 0, 0), -14): (0, 2)
(3, 1, 0, (0, 0, 0), -13): (0, 7)
(3, 1, 0, (0, 0, 0), -12): (1, 14)
(3, 1, 0, (0, 0, 0), -11): (1, 30)
(3, 1, 0, (0, 0, 0), -10): (1, 55)
(3, 1, 0, (0, 0, 0), -9): (3, 116)
(3, 1, 0, (0, 0, 0), -8): (5, 247)
(3, 1, 0, (0, 0, 0), -7): (20, 488)
(3, 1, 0, (0, 0, 0), -6): (80, 1003)
(3, 1, 0, (0, 0, 0), -5): (248, 1857)
(3, 1, 0, (0, 0, 0), -4): (563, 3458)
(3, 1, 0, (0, 0, 0), -3): (1468, 5863)
(3, 1, 0, (0, 0, 0), -2): (3275, 9708)
(3, 1, 0, (0, 0, 0), -1): (7150, 15842)
(3, 1, 0, (0, 0, 0), 0): (15962, 27494)
(3, 1, 0, (0, 0, 0), 1): (9611, 13677)
(3, 1, 0, (0, 0, 0), 2): (5986, 7467)
(3, 1, 0, (0, 0, 0), 3): (3579, 4136)
(3, 1, 0, (0, 0, 0), 4): (1993, 2138)
(3, 1, 0, (0, 0, 0), 5): (1127, 1204)
(3, 1, 0, (0, 0, 0), 6): (606, 623)
(3, 1, 0, (0, 0, 0), 7): (293, 297)
(3, 1, 0, (0, 0, 0), 8): (139, 142)
(3, 1, 0, (0, 0, 0), 9): (67, 67)
(3, 1, 0, (0, 0, 0), 10): (29, 29)
(3, 1, 0, (0, 0, 0), 11): (19, 19)
(3, 1, 0, (0, 0, 0), 12): (4, 4)
(3, 1, 0, (0, 0, 0), 13): (6, 6)
(3, 1, 0, (0, 0, 0), 15): (1, 1)
(3, 1, 0, (0, 0, 0), 16): (1, 1)
(3, 1, 0, (0, 0, 1), -10): (0, 1)
(3, 1, 0, (0, 0, 1), -8): (1, 6)
(3, 1, 0, (0, 0, 1), -7): (0, 8)
(3, 1, 0, (0, 0, 1), -6): (3, 12)
(3, 1, 0, (0, 0, 1), -5): (5, 21)
(3, 1, 0, (0, 0, 1), -4): (9, 38)
(3, 1, 0, (0, 0, 1), -3): (25, 73)
(3, 1, 0, (0, 0, 1), -2): (45, 118)
(3, 1, 0, (0, 0, 1), -1): (127, 228)
(3, 1, 0, (0, 0, 1), 0): (241, 353)
(3, 1, 0, (0, 0, 1), 1): (193, 261)
(3, 1, 0, (0, 0, 1), 2): (164, 184)
(3, 1, 0, (0, 0, 1), 3): (91, 101)
(3, 1, 0, (0, 0, 1), 4): (43, 47)
(3, 1, 0, (0, 0, 1), 5): (15, 16)
(3, 1, 0, (0, 0, 1), 6): (17, 17)
(3, 1, 0, (0, 0, 1), 7): (7, 7)
(3, 1, 0, (0, 0, 1), 8): (4, 4)
(3, 1, 0, (0, 0, 1), 9): (1, 1)
(3, 1, 0, (0, 0, 1), 10): (1, 1)
(3, 1, 0, (0, 0, 1), 11): (2, 2)
(3, 1, 0, (0, 0, 1), 12): (1, 1)
(3, 1, 0, (0, 1, 0), -10): (0, 2)
(3, 1, 0, (0, 1, 0), -9): (0, 10)
(3, 1, 0, (0, 1, 0), -8): (1, 15)
(3, 1, 0, (0, 1, 0), -7): (0, 22)
(3, 1, 0, (0, 1, 0), -6): (7, 60)
(3, 1, 0, (0, 1, 0), -5): (25, 115)
(3, 1, 0, (0, 1, 0), -4): (44, 210)
(3, 1, 0, (0, 1, 0), -3): (104, 338)
(3, 1, 0, (0, 1, 0), -2): (253, 620)
(3, 1, 0, (0, 1, 0), -1): (580, 1048)
(3, 1, 0, (0, 1, 0), 0): (1152, 1756)
(3, 1, 0, (0, 1, 0), 1): (857, 1110)
(3, 1, 0, (0, 1, 0), 2): (610, 718)
(3, 1, 0, (0, 1, 0), 3): (410, 460)
(3, 1, 0, (0, 1, 0), 4): (205, 220)
(3, 1, 0, (0, 1, 0), 5): (121, 125)
(3, 1, 0, (0, 1, 0), 6): (46, 48)
(3, 1, 0, (0, 1, 0), 7): (31, 32)
(3, 1, 0, (0, 1, 0), 8): (11, 11)
(3, 1, 0, (0, 1, 0), 9): (9, 9)
(3, 1, 0, (0, 1, 0), 10): (2, 2)
(3, 1, 0, (0, 1, 0), 11): (2, 2)
(3, 1, 0, (0, 1, 0), 12): (1, 1)
(3, 1, 0, (0, 1, 0), 13): (1, 1)
(3, 1, 0, (0, 1, 1), -8): (0, 2)
(3, 1, 0, (0, 1, 1), -7): (0, 1)
(3, 1, 0, (0, 1, 1), -6): (3, 11)
(3, 1, 0, (0, 1, 1), -5): (2, 14)
(3, 1, 0, (0, 1, 1), -4): (12, 43)
(3, 1, 0, (0, 1, 1), -3): (23, 60)
(3, 1, 0, (0, 1, 1), -2): (73, 125)
(3, 1, 0, (0, 1, 1), -1): (109, 163)
(3, 1, 0, (0, 1, 1), 0): (215, 275)
(3, 1, 0, (0, 1, 1), 1): (220, 258)
(3, 1, 0, (0, 1, 1), 2): (153, 171)
(3, 1, 0, (0, 1, 1), 3): (119, 129)
(3, 1, 0, (0, 1, 1), 4): (63, 66)
(3, 1, 0, (0, 1, 1), 5): (31, 32)
(3, 1, 0, (0, 1, 1), 6): (15, 15)
(3, 1, 0, (0, 1, 1), 7): (11, 11)
(3, 1, 0, (0, 1, 1), 8): (2, 2)
(3, 1, 0, (0, 1, 1), 9): (4, 4)
(3, 1, 0, (0, 1, 1), 11): (2, 2)
(3, 1, 0, (1, 0, 0), -14): (0, 1)
(3, 1, 0, (1, 0, 0), -12): (0, 3)
(3, 1, 0, (1, 0, 0), -11): (0, 5)
(3, 1, 0, (1, 0, 0), -10): (1, 9)
(3, 1, 0, (1, 0, 0), -9): (2, 26)
(3, 1, 0, (1, 0, 0), -8): (1, 49)
(3, 1, 0, (1, 0, 0), -7): (9, 140)
(3, 1, 0, (1, 0, 0), -6): (27, 224)
(3, 1, 0, (1, 0, 0), -5): (85, 468)
(3, 1, 0, (1, 0, 0), -4): (193, 864)
(3, 1, 0, (1, 0, 0), -3): (433, 1471)
(3, 1, 0, (1, 0, 0), -2): (954, 2442)
(3, 1, 0, (1, 0, 0), -1): (1898, 3820)
(3, 1, 0, (1, 0, 0), 0): (4246, 6774)
(3, 1, 0, (1, 0, 0), 1): (2562, 3489)
(3, 1, 0, (1, 0, 0), 2): (1707, 2066)
(3, 1, 0, (1, 0, 0), 3): (1021, 1169)
(3, 1, 0, (1, 0, 0), 4): (569, 605)
(3, 1, 0, (1, 0, 0), 5): (298, 320)
(3, 1, 0, (1, 0, 0), 6): (158, 164)
(3, 1, 0, (1, 0, 0), 7): (89, 89)
(3, 1, 0, (1, 0, 0), 8): (34, 35)
(3, 1, 0, (1, 0, 0), 9): (18, 18)
(3, 1, 0, (1, 0, 0), 10): (8, 8)
(3, 1, 0, (1, 0, 0), 11): (5, 5)
(3, 1, 0, (1, 0, 0), 12): (1, 1)
(3, 1, 0, (1, 0, 0), 13): (1, 1)
(3, 1, 0, (1, 0, 1), -10): (0, 1)
(3, 1, 0, (1, 0, 1), -9): (0, 1)
(3, 1, 0, (1, 0, 1), -8): (1, 2)
(3, 1, 0, (1, 0, 1), -7): (0, 8)
(3, 1, 0, (1, 0, 1), -6): (3, 13)
(3, 1, 0, (1, 0, 1), -5): (10, 33)
(3, 1, 0, (1, 0, 1), -4): (15, 76)
(3, 1, 0, (1, 0, 1), -3): (39, 110)
(3, 1, 0, (1, 0, 1), -2): (108, 213)
(3, 1, 0, (1, 0, 1), -1): (203, 335)
(3, 1, 0, (1, 0, 1), 0): (406, 537)
(3, 1, 0, (1, 0, 1), 1): (342, 423)
(3, 1, 0, (1, 0, 1), 2): (258, 301)
(3, 1, 0, (1, 0, 1), 3): (148, 158)
(3, 1, 0, (1, 0, 1), 4): (77, 79)
(3, 1, 0, (1, 0, 1), 5): (35, 37)
(3, 1, 0, (1, 0, 1), 6): (16, 17)
(3, 1, 0, (1, 0, 1), 7): (9, 9)
(3, 1, 0, (1, 0, 1), 8): (5, 5)
(3, 1, 0, (1, 0, 1), 9): (2, 2)
(3, 1, 0, (1, 0, 1), 10): (1, 1)
(3, 1, 0, (1, 0, 1), 12): (1, 1)
(3, 1, 0, (1, 1, 0), -11): (0, 1)
(3, 1, 0, (1, 1, 0), -9): (0, 7)
(3, 1, 0, (1, 1, 0), -8): (0, 11)
(3, 1, 0, (1, 1, 0), -7): (5, 32)
(3, 1, 0, (1, 1, 0), -6): (6, 50)
(3, 1, 0, (1, 1, 0), -5): (32, 130)
(3, 1, 0, (1, 1, 0), -4): (58, 208)
(3, 1, 0, (1, 1, 0), -3): (130, 360)
(3, 1, 0, (1, 1, 0), -2): (249, 552)
(3, 1, 0, (1, 1, 0), -1): (420, 731)
(3, 1, 0, (1, 1, 0), 0): (881, 1280)
(3, 1, 0, (1, 1, 0), 1): (645, 830)
(3, 1, 0, (1, 1, 0), 2): (454, 530)
(3, 1, 0, (1, 1, 0), 3): (300, 334)
(3, 1, 0, (1, 1, 0), 4): (171, 179)
(3, 1, 0, (1, 1, 0), 5): (107, 108)
(3, 1, 0, (1, 1, 0), 6): (54, 55)
(3, 1, 0, (1, 1, 0), 7): (26, 27)
(3, 1, 0, (1, 1, 0), 8): (13, 13)
(3, 1, 0, (1, 1, 0), 9): (6, 6)
(3, 1, 0, (1, 1, 0), 10): (2, 2)
(3, 1, 0, (1, 1, 1), -11): (0, 1)
(3, 1, 0, (1, 1, 1), -10): (0, 1)
(3, 1, 0, (1, 1, 1), -9): (0, 3)
(3, 1, 0, (1, 1, 1), -8): (0, 2)
(3, 1, 0, (1, 1, 1), -7): (1, 3)
(3, 1, 0, (1, 1, 1), -6): (2, 10)
(3, 1, 0, (1, 1, 1), -5): (6, 21)
(3, 1, 0, (1, 1, 1), -4): (22, 45)
(3, 1, 0, (1, 1, 1), -3): (35, 70)
(3, 1, 0, (1, 1, 1), -2): (78, 128)
(3, 1, 0, (1, 1, 1), -1): (117, 178)
(3, 1, 0, (1, 1, 1), 0): (208, 266)
(3, 1, 0, (1, 1, 1), 1): (201, 246)
(3, 1, 0, (1, 1, 1), 2): (142, 162)
(3, 1, 0, (1, 1, 1), 3): (111, 120)
(3, 1, 0, (1, 1, 1), 4): (55, 57)
(3, 1, 0, (1, 1, 1), 5): (39, 39)
(3, 1, 0, (1, 1, 1), 6): (24, 24)
(3, 1, 0, (1, 1, 1), 7): (8, 8)
(3, 1, 0, (1, 1, 1), 8): (4, 4)
(3, 1, 0, (1, 1, 1), 9): (2, 2)
(3, 1, 0, (1, 1, 1), 11): (1, 1)
(3, 1, 1, (0, 0, 0), -15): (0, 1)
(3, 1, 1, (0, 0, 0), -14): (0, 1)
(3, 1, 1, (0, 0, 0), -13): (0, 7)
(3, 1, 1, (0, 0, 0), -12): (1, 11)
(3, 1, 1, (0, 0, 0), -11): (1, 25)
(3, 1, 1, (0, 0, 0), -10): (0, 44)
(3, 1, 1, (0, 0, 0), -9): (1, 81)
(3, 1, 1, (0, 0, 0), -8): (4, 187)
(3, 1, 1, (0, 0, 0), -7): (10, 325)
(3, 1, 1, (0, 0, 0), -6): (45, 718)
(3, 1, 1, (0, 0, 0), -5): (134, 1280)
(3, 1, 1, (0, 0, 0), -4): (327, 2411)
(3, 1, 1, (0, 0, 0), -3): (935, 4118)
(3, 1, 1, (0, 0, 0), -2): (2126, 6854)
(3, 1, 1, (0, 0, 0), -1): (4821, 11350)
(3, 1, 1, (0, 0, 0), 0): (10973, 19759)
(3, 1, 1, (0, 0, 0), 1): (6867, 10082)
(3, 1, 1, (0, 0, 0), 2): (4426, 5645)
(3, 1, 1, (0, 0, 0), 3): (2781, 3240)
(3, 1, 1, (0, 0, 0), 4): (1639, 1774)
(3, 1, 1, (0, 0, 0), 5): (971, 1037)
(3, 1, 1, (0, 0, 0), 6): (517, 535)
(3, 1, 1, (0, 0, 0), 7): (233, 237)
(3, 1, 1, (0, 0, 0), 8): (131, 133)
(3, 1, 1, (0, 0, 0), 9): (57, 57)
(3, 1, 1, (0, 0, 0), 10): (26, 26)
(3, 1, 1, (0, 0, 0), 11): (20, 20)
(3, 1, 1, (0, 0, 0), 12): (5, 5)
(3, 1, 1, (0, 0, 0), 13): (6, 6)
(3, 1, 1, (0, 0, 0), 14): (1, 1)
(3, 1, 1, (0, 0, 0), 16): (1, 1)
(3, 1, 1, (0, 0, 1), -10): (0, 1)
(3, 1, 1, (0, 0, 1), -9): (0, 2)
(3, 1, 1, (0, 0, 1), -8): (0, 17)
(3, 1, 1, (0, 0, 1), -7): (0, 14)
(3, 1, 1, (0, 0, 1), -6): (2, 37)
(3, 1, 1, (0, 0, 1), -5): (15, 59)
(3, 1, 1, (0, 0, 1), -4): (23, 97)
(3, 1, 1, (0, 0, 1), -3): (60, 201)
(3, 1, 1, (0, 0, 1), -2): (164, 394)
(3, 1, 1, (0, 0, 1), -1): (337, 628)
(3, 1, 1, (0, 0, 1), 0): (774, 1184)
(3, 1, 1, (0, 0, 1), 1): (613, 855)
(3, 1, 1, (0, 0, 1), 2): (489, 583)
(3, 1, 1, (0, 0, 1), 3): (295, 335)
(3, 1, 1, (0, 0, 1), 4): (153, 163)
(3, 1, 1, (0, 0, 1), 5): (80, 81)
(3, 1, 1, (0, 0, 1), 6): (46, 48)
(3, 1, 1, (0, 0, 1), 7): (17, 17)
(3, 1, 1, (0, 0, 1), 8): (9, 9)
(3, 1, 1, (0, 0, 1), 9): (1, 1)
(3, 1, 1, (0, 0, 1), 10): (4, 4)
(3, 1, 1, (0, 0, 1), 11): (3, 3)
(3, 1, 1, (0, 0, 1), 12): (1, 1)
(3, 1, 1, (0, 1, 0), -12): (0, 2)
(3, 1, 1, (0, 1, 0), -10): (1, 7)
(3, 1, 1, (0, 1, 0), -9): (0, 9)
(3, 1, 1, (0, 1, 0), -8): (1, 16)
(3, 1, 1, (0, 1, 0), -7): (2, 46)
(3, 1, 1, (0, 1, 0), -6): (12, 99)
(3, 1, 1, (0, 1, 0), -5): (22, 162)
(3, 1, 1, (0, 1, 0), -4): (75, 382)
(3, 1, 1, (0, 1, 0), -3): (177, 646)
(3, 1, 1, (0, 1, 0), -2): (409, 1138)
(3, 1, 1, (0, 1, 0), -1): (971, 2037)
(3, 1, 1, (0, 1, 0), 0): (2312, 3771)
(3, 1, 1, (0, 1, 0), 1): (1644, 2266)
(3, 1, 1, (0, 1, 0), 2): (1118, 1390)
(3, 1, 1, (0, 1, 0), 3): (726, 851)
(3, 1, 1, (0, 1, 0), 4): (426, 465)
(3, 1, 1, (0, 1, 0), 5): (241, 260)
(3, 1, 1, (0, 1, 0), 6): (128, 131)
(3, 1, 1, (0, 1, 0), 7): (61, 62)
(3, 1, 1, (0, 1, 0), 8): (30, 31)
(3, 1, 1, (0, 1, 0), 9): (14, 14)
(3, 1, 1, (0, 1, 0), 10): (9, 9)
(3, 1, 1, (0, 1, 0), 11): (7, 7)
(3, 1, 1, (0, 1, 0), 12): (1, 1)
(3, 1, 1, (0, 1, 0), 13): (3, 3)
(3, 1, 1, (0, 1, 0), 15): (1, 1)
(3, 1, 1, (0, 1, 1), -12): (0, 1)
(3, 1, 1, (0, 1, 1), -11): (0, 1)
(3, 1, 1, (0, 1, 1), -10): (0, 2)
(3, 1, 1, (0, 1, 1), -9): (0, 4)
(3, 1, 1, (0, 1, 1), -8): (0, 4)
(3, 1, 1, (0, 1, 1), -7): (1, 11)
(3, 1, 1, (0, 1, 1), -6): (7, 27)
(3, 1, 1, (0, 1, 1), -5): (8, 32)
(3, 1, 1, (0, 1, 1), -4): (23, 94)
(3, 1, 1, (0, 1, 1), -3): (67, 177)
(3, 1, 1, (0, 1, 1), -2): (136, 303)
(3, 1, 1, (0, 1, 1), -1): (269, 465)
(3, 1, 1, (0, 1, 1), 0): (586, 883)
(3, 1, 1, (0, 1, 1), 1): (490, 614)
(3, 1, 1, (0, 1, 1), 2): (374, 426)
(3, 1, 1, (0, 1, 1), 3): (241, 264)
(3, 1, 1, (0, 1, 1), 4): (149, 161)
(3, 1, 1, (0, 1, 1), 5): (76, 79)
(3, 1, 1, (0, 1, 1), 6): (42, 42)
(3, 1, 1, (0, 1, 1), 7): (34, 35)
(3, 1, 1, (0, 1, 1), 8): (10, 10)
(3, 1, 1, (0, 1, 1), 9): (5, 5)
(3, 1, 1, (0, 1, 1), 10): (4, 4)
(3, 1, 1, (0, 1, 1), 11): (4, 4)
(3, 1, 1, (0, 1, 1), 13): (1, 1)
(3, 1, 1, (1, 0, 0), -14): (0, 1)
(3, 1, 1, (1, 0, 0), -13): (0, 3)
(3, 1, 1, (1, 0, 0), -12): (0, 7)
(3, 1, 1, (1, 0, 0), -11): (1, 14)
(3, 1, 1, (1, 0, 0), -10): (1, 19)
(3, 1, 1, (1, 0, 0), -9): (2, 25)
(3, 1, 1, (1, 0, 0), -8): (1, 67)
(3, 1, 1, (1, 0, 0), -7): (5, 144)
(3, 1, 1, (1, 0, 0), -6): (23, 280)
(3, 1, 1, (1, 0, 0), -5): (68, 546)
(3, 1, 1, (1, 0, 0), -4): (163, 959)
(3, 1, 1, (1, 0, 0), -3): (437, 1670)
(3, 1, 1, (1, 0, 0), -2): (942, 2685)
(3, 1, 1, (1, 0, 0), -1): (1961, 4350)
(3, 1, 1, (1, 0, 0), 0): (4423, 7454)
(3, 1, 1, (1, 0, 0), 1): (3131, 4329)
(3, 1, 1, (1, 0, 0), 2): (2097, 2620)
(3, 1, 1, (1, 0, 0), 3): (1338, 1542)
(3, 1, 1, (1, 0, 0), 4): (782, 839)
(3, 1, 1, (1, 0, 0), 5): (454, 486)
(3, 1, 1, (1, 0, 0), 6): (219, 226)
(3, 1, 1, (1, 0, 0), 7): (110, 110)
(3, 1, 1, (1, 0, 0), 8): (62, 63)
(3, 1, 1, (1, 0, 0), 9): (35, 35)
(3, 1, 1, (1, 0, 0), 10): (13, 13)
(3, 1, 1, (1, 0, 0), 11): (12, 12)
(3, 1, 1, (1, 0, 0), 12): (5, 5)
(3, 1, 1, (1, 0, 0), 13): (4, 4)
(3, 1, 1, (1, 0, 0), 14): (2, 2)
(3, 1, 1, (1, 0, 1), -12): (0, 1)
(3, 1, 1, (1, 0, 1), -10): (0, 2)
(3, 1, 1, (1, 0, 1), -9): (1, 6)
(3, 1, 1, (1, 0, 1), -8): (1, 8)
(3, 1, 1, (1, 0, 1), -7): (1, 19)
(3, 1, 1, (1, 0, 1), -6): (5, 42)
(3, 1, 1, (1, 0, 1), -5): (13, 57)
(3, 1, 1, (1, 0, 1), -4): (39, 136)
(3, 1, 1, (1, 0, 1), -3): (68, 260)
(3, 1, 1, (1, 0, 1), -2): (185, 407)
(3, 1, 1, (1, 0, 1), -1): (370, 653)
(3, 1, 1, (1, 0, 1), 0): (787, 1153)
(3, 1, 1, (1, 0, 1), 1): (729, 953)
(3, 1, 1, (1, 0, 1), 2): (532, 628)
(3, 1, 1, (1, 0, 1), 3): (328, 372)
(3, 1, 1, (1, 0, 1), 4): (189, 203)
(3, 1, 1, (1, 0, 1), 5): (103, 109)
(3, 1, 1, (1, 0, 1), 6): (45, 48)
(3, 1, 1, (1, 0, 1), 7): (25, 25)
(3, 1, 1, (1, 0, 1), 8): (8, 8)
(3, 1, 1, (1, 0, 1), 9): (9, 9)
(3, 1, 1, (1, 0, 1), 10): (0, 1)
(3, 1, 1, (1, 0, 1), 11): (4, 4)
(3, 1, 1, (1, 1, 0), -13): (0, 1)
(3, 1, 1, (1, 1, 0), -12): (0, 3)
(3, 1, 1, (1, 1, 0), -11): (0, 4)
(3, 1, 1, (1, 1, 0), -10): (0, 4)
(3, 1, 1, (1, 1, 0), -9): (0, 12)
(3, 1, 1, (1, 1, 0), -8): (0, 25)
(3, 1, 1, (1, 1, 0), -7): (5, 48)
(3, 1, 1, (1, 1, 0), -6): (10, 82)
(3, 1, 1, (1, 1, 0), -5): (32, 180)
(3, 1, 1, (1, 1, 0), -4): (75, 336)
(3, 1, 1, (1, 1, 0), -3): (165, 535)
(3, 1, 1, (1, 1, 0), -2): (365, 868)
(3, 1, 1, (1, 1, 0), -1): (698, 1350)
(3, 1, 1, (1, 1, 0), 0): (1428, 2199)
(3, 1, 1, (1, 1, 0), 1): (1199, 1590)
(3, 1, 1, (1, 1, 0), 2): (869, 1037)
(3, 1, 1, (1, 1, 0), 3): (599, 681)
(3, 1, 1, (1, 1, 0), 4): (371, 392)
(3, 1, 1, (1, 1, 0), 5): (202, 210)
(3, 1, 1, (1, 1, 0), 6): (114, 117)
(3, 1, 1, (1, 1, 0), 7): (36, 37)
(3, 1, 1, (1, 1, 0), 8): (23, 24)
(3, 1, 1, (1, 1, 0), 9): (19, 19)
(3, 1, 1, (1, 1, 0), 10): (8, 8)
(3, 1, 1, (1, 1, 0), 11): (3, 3)
(3, 1, 1, (1, 1, 0), 12): (2, 2)
(3, 1, 1, (1, 1, 0), 13): (3, 3)
(3, 1, 1, (1, 1, 0), 14): (1, 1)
(3, 1, 1, (1, 1, 1), -10): (0, 2)
(3, 1, 1, (1, 1, 1), -9): (0, 7)
(3, 1, 1, (1, 1, 1), -8): (0, 4)
(3, 1, 1, (1, 1, 1), -7): (0, 8)
(3, 1, 1, (1, 1, 1), -6): (3, 18)
(3, 1, 1, (1, 1, 1), -5): (7, 45)
(3, 1, 1, (1, 1, 1), -4): (32, 99)
(3, 1, 1, (1, 1, 1), -3): (54, 139)
(3, 1, 1, (1, 1, 1), -2): (118, 239)
(3, 1, 1, (1, 1, 1), -1): (241, 408)
(3, 1, 1, (1, 1, 1), 0): (518, 723)
(3, 1, 1, (1, 1, 1), 1): (486, 624)
(3, 1, 1, (1, 1, 1), 2): (386, 456)
(3, 1, 1, (1, 1, 1), 3): (274, 305)
(3, 1, 1, (1, 1, 1), 4): (165, 173)
(3, 1, 1, (1, 1, 1), 5): (97, 100)
(3, 1, 1, (1, 1, 1), 6): (44, 45)
(3, 1, 1, (1, 1, 1), 7): (28, 29)
(3, 1, 1, (1, 1, 1), 8): (7, 8)
(3, 1, 1, (1, 1, 1), 9): (6, 6)
(3, 1, 1, (1, 1, 1), 10): (1, 1)
(3, 1, 1, (1, 1, 1), 12): (1, 1)
(3, 1, 1, (1, 1, 1), 13): (1, 1)
(3, 1, 2, (0, 0, 0), -15): (0, 1)
(3, 1, 2, (0, 0, 0), -14): (0, 1)
(3, 1, 2, (0, 0, 0), -13): (0, 4)
(3, 1, 2, (0, 0, 0), -12): (1, 5)
(3, 1, 2, (0, 0, 0), -11): (0, 15)
(3, 1, 2, (0, 0, 0), -10): (0, 30)
(3, 1, 2, (0, 0, 0), -9): (0, 66)
(3, 1, 2, (0, 0, 0), -8): (3, 134)
(3, 1, 2, (0, 0, 0), -7): (6, 258)
(3, 1, 2, (0, 0, 0), -6): (26, 526)
(3, 1, 2, (0, 0, 0), -5): (96, 960)
(3, 1, 2, (0, 0, 0), -4): (235, 1849)
(3, 1, 2, (0, 0, 0), -3): (661, 3124)
(3, 1, 2, (0, 0, 0), -2): (1538, 5306)
(3, 1, 2, (0, 0, 0), -1): (3612, 8794)
(3, 1, 2, (0, 0, 0), 0): (8160, 15272)
(3, 1, 2, (0, 0, 0), 1): (5454, 8195)
(3, 1, 2, (0, 0, 0), 2): (3736, 4841)
(3, 1, 2, (0, 0, 0), 3): (2579, 3037)
(3, 1, 2, (0, 0, 0), 4): (1646, 1799)
(3, 1, 2, (0, 0, 0), 5): (947, 1017)
(3, 1, 2, (0, 0, 0), 6): (507, 525)
(3, 1, 2, (0, 0, 0), 7): (247, 254)
(3, 1, 2, (0, 0, 0), 8): (128, 129)
(3, 1, 2, (0, 0, 0), 9): (70, 70)
(3, 1, 2, (0, 0, 0), 10): (35, 35)
(3, 1, 2, (0, 0, 0), 11): (19, 19)
(3, 1, 2, (0, 0, 0), 12): (7, 7)
(3, 1, 2, (0, 0, 0), 13): (5, 5)
(3, 1, 2, (0, 0, 0), 14): (1, 1)
(3, 1, 2, (0, 0, 0), 15): (1, 1)
(3, 1, 2, (0, 0, 0), 16): (1, 1)
(3, 1, 2, (0, 0, 1), -10): (0, 1)
(3, 1, 2, (0, 0, 1), -9): (0, 3)
(3, 1, 2, (0, 0, 1), -8): (0, 18)
(3, 1, 2, (0, 0, 1), -7): (1, 21)
(3, 1, 2, (0, 0, 1), -6): (3, 44)
(3, 1, 2, (0, 0, 1), -5): (9, 80)
(3, 1, 2, (0, 0, 1), -4): (25, 160)
(3, 1, 2, (0, 0, 1), -3): (76, 288)
(3, 1, 2, (0, 0, 1), -2): (170, 516)
(3, 1, 2, (0, 0, 1), -1): (408, 933)
(3, 1, 2, (0, 0, 1), 0): (972, 1679)
(3, 1, 2, (0, 0, 1), 1): (821, 1250)
(3, 1, 2, (0, 0, 1), 2): (638, 822)
(3, 1, 2, (0, 0, 1), 3): (437, 508)
(3, 1, 2, (0, 0, 1), 4): (258, 287)
(3, 1, 2, (0, 0, 1), 5): (178, 190)
(3, 1, 2, (0, 0, 1), 6): (94, 99)
(3, 1, 2, (0, 0, 1), 7): (50, 52)
(3, 1, 2, (0, 0, 1), 8): (15, 16)
(3, 1, 2, (0, 0, 1), 9): (8, 8)
(3, 1, 2, (0, 0, 1), 10): (7, 7)
(3, 1, 2, (0, 0, 1), 11): (4, 4)
(3, 1, 2, (0, 0, 1), 12): (2, 2)
(3, 1, 2, (0, 1, 0), -12): (0, 2)
(3, 1, 2, (0, 1, 0), -11): (0, 2)
(3, 1, 2, (0, 1, 0), -10): (0, 5)
(3, 1, 2, (0, 1, 0), -9): (0, 12)
(3, 1, 2, (0, 1, 0), -8): (1, 23)
(3, 1, 2, (0, 1, 0), -7): (5, 68)
(3, 1, 2, (0, 1, 0), -6): (15, 115)
(3, 1, 2, (0, 1, 0), -5): (29, 236)
(3, 1, 2, (0, 1, 0), -4): (60, 430)
(3, 1, 2, (0, 1, 0), -3): (186, 760)
(3, 1, 2, (0, 1, 0), -2): (408, 1386)
(3, 1, 2, (0, 1, 0), -1): (1080, 2489)
(3, 1, 2, (0, 1, 0), 0): (2459, 4309)
(3, 1, 2, (0, 1, 0), 1): (1983, 2892)
(3, 1, 2, (0, 1, 0), 2): (1455, 1866)
(3, 1, 2, (0, 1, 0), 3): (1006, 1195)
(3, 1, 2, (0, 1, 0), 4): (692, 758)
(3, 1, 2, (0, 1, 0), 5): (405, 439)
(3, 1, 2, (0, 1, 0), 6): (241, 245)
(3, 1, 2, (0, 1, 0), 7): (107, 111)
(3, 1, 2, (0, 1, 0), 8): (60, 60)
(3, 1, 2, (0, 1, 0), 9): (23, 23)
(3, 1, 2, (0, 1, 0), 10): (8, 8)
(3, 1, 2, (0, 1, 0), 11): (13, 13)
(3, 1, 2, (0, 1, 0), 12): (3, 3)
(3, 1, 2, (0, 1, 0), 13): (4, 4)
(3, 1, 2, (0, 1, 0), 14): (1, 1)
(3, 1, 2, (0, 1, 0), 15): (1, 1)
(3, 1, 2, (0, 1, 1), -13): (0, 1)
(3, 1, 2, (0, 1, 1), -12): (0, 2)
(3, 1, 2, (0, 1, 1), -10): (0, 3)
(3, 1, 2, (0, 1, 1), -9): (0, 3)
(3, 1, 2, (0, 1, 1), -8): (0, 7)
(3, 1, 2, (0, 1, 1), -7): (1, 14)
(3, 1, 2, (0, 1, 1), -6): (3, 23)
(3, 1, 2, (0, 1, 1), -5): (7, 44)
(3, 1, 2, (0, 1, 1), -4): (14, 84)
(3, 1, 2, (0, 1, 1), -3): (43, 169)
(3, 1, 2, (0, 1, 1), -2): (115, 281)
(3, 1, 2, (0, 1, 1), -1): (202, 437)
(3, 1, 2, (0, 1, 1), 0): (436, 720)
(3, 1, 2, (0, 1, 1), 1): (466, 624)
(3, 1, 2, (0, 1, 1), 2): (350, 435)
(3, 1, 2, (0, 1, 1), 3): (262, 296)
(3, 1, 2, (0, 1, 1), 4): (196, 209)
(3, 1, 2, (0, 1, 1), 5): (118, 126)
(3, 1, 2, (0, 1, 1), 6): (55, 60)
(3, 1, 2, (0, 1, 1), 7): (47, 48)
(3, 1, 2, (0, 1, 1), 8): (21, 21)
(3, 1, 2, (0, 1, 1), 9): (12, 12)
(3, 1, 2, (0, 1, 1), 10): (6, 6)
(3, 1, 2, (0, 1, 1), 11): (2, 2)
(3, 1, 2, (0, 1, 1), 13): (1, 1)
(3, 1, 2, (1, 0, 0), -13): (0, 3)
(3, 1, 2, (1, 0, 0), -12): (1, 5)
(3, 1, 2, (1, 0, 0), -11): (1, 10)
(3, 1, 2, (1, 0, 0), -10): (0, 16)
(3, 1, 2, (1, 0, 0), -9): (1, 27)
(3, 1, 2, (1, 0, 0), -8): (1, 56)
(3, 1, 2, (1, 0, 0), -7): (3, 146)
(3, 1, 2, (1, 0, 0), -6): (15, 279)
(3, 1, 2, (1, 0, 0), -5): (52, 549)
(3, 1, 2, (1, 0, 0), -4): (139, 961)
(3, 1, 2, (1, 0, 0), -3): (382, 1623)
(3, 1, 2, (1, 0, 0), -2): (785, 2562)
(3, 1, 2, (1, 0, 0), -1): (1756, 4126)
(3, 1, 2, (1, 0, 0), 0): (3905, 7051)
(3, 1, 2, (1, 0, 0), 1): (3156, 4647)
(3, 1, 2, (1, 0, 0), 2): (2301, 2943)
(3, 1, 2, (1, 0, 0), 3): (1600, 1888)
(3, 1, 2, (1, 0, 0), 4): (1020, 1104)
(3, 1, 2, (1, 0, 0), 5): (592, 631)
(3, 1, 2, (1, 0, 0), 6): (293, 305)
(3, 1, 2, (1, 0, 0), 7): (182, 186)
(3, 1, 2, (1, 0, 0), 8): (82, 83)
(3, 1, 2, (1, 0, 0), 9): (50, 51)
(3, 1, 2, (1, 0, 0), 10): (23, 23)
(3, 1, 2, (1, 0, 0), 11): (10, 10)
(3, 1, 2, (1, 0, 0), 12): (5, 5)
(3, 1, 2, (1, 0, 0), 13): (4, 4)
(3, 1, 2, (1, 0, 0), 14): (2, 2)
(3, 1, 2, (1, 0, 0), 16): (1, 1)
(3, 1, 2, (1, 0, 1), -12): (0, 1)
(3, 1, 2, (1, 0, 1), -11): (0, 2)
(3, 1, 2, (1, 0, 1), -10): (0, 2)
(3, 1, 2, (1, 0, 1), -9): (0, 4)
(3, 1, 2, (1, 0, 1), -8): (0, 19)
(3, 1, 2, (1, 0, 1), -7): (1, 25)
(3, 1, 2, (1, 0, 1), -6): (2, 50)
(3, 1, 2, (1, 0, 1), -5): (9, 75)
(3, 1, 2, (1, 0, 1), -4): (25, 145)
(3, 1, 2, (1, 0, 1), -3): (67, 283)
(3, 1, 2, (1, 0, 1), -2): (166, 516)
(3, 1, 2, (1, 0, 1), -1): (374, 802)
(3, 1, 2, (1, 0, 1), 0): (798, 1330)
(3, 1, 2, (1, 0, 1), 1): (800, 1156)
(3, 1, 2, (1, 0, 1), 2): (669, 830)
(3, 1, 2, (1, 0, 1), 3): (442, 509)
(3, 1, 2, (1, 0, 1), 4): (323, 342)
(3, 1, 2, (1, 0, 1), 5): (186, 192)
(3, 1, 2, (1, 0, 1), 6): (93, 94)
(3, 1, 2, (1, 0, 1), 7): (49, 51)
(3, 1, 2, (1, 0, 1), 8): (22, 22)
(3, 1, 2, (1, 0, 1), 9): (19, 19)
(3, 1, 2, (1, 0, 1), 10): (4, 5)
(3, 1, 2, (1, 0, 1), 11): (3, 3)
(3, 1, 2, (1, 0, 1), 12): (4, 4)
(3, 1, 2, (1, 0, 1), 14): (1, 1)
(3, 1, 2, (1, 1, 0), -13): (0, 1)
(3, 1, 2, (1, 1, 0), -12): (0, 2)
(3, 1, 2, (1, 1, 0), -11): (0, 2)
(3, 1, 2, (1, 1, 0), -10): (0, 5)
(3, 1, 2, (1, 1, 0), -9): (0, 9)
(3, 1, 2, (1, 1, 0), -8): (1, 28)
(3, 1, 2, (1, 1, 0), -7): (1, 56)
(3, 1, 2, (1, 1, 0), -6): (9, 95)
(3, 1, 2, (1, 1, 0), -5): (20, 187)
(3, 1, 2, (1, 1, 0), -4): (66, 377)
(3, 1, 2, (1, 1, 0), -3): (139, 605)
(3, 1, 2, (1, 1, 0), -2): (337, 985)
(3, 1, 2, (1, 1, 0), -1): (716, 1575)
(3, 1, 2, (1, 1, 0), 0): (1589, 2739)
(3, 1, 2, (1, 1, 0), 1): (1506, 2147)
(3, 1, 2, (1, 1, 0), 2): (1184, 1482)
(3, 1, 2, (1, 1, 0), 3): (874, 1012)
(3, 1, 2, (1, 1, 0), 4): (606, 654)
(3, 1, 2, (1, 1, 0), 5): (337, 361)
(3, 1, 2, (1, 1, 0), 6): (169, 170)
(3, 1, 2, (1, 1, 0), 7): (117, 119)
(3, 1, 2, (1, 1, 0), 8): (59, 60)
(3, 1, 2, (1, 1, 0), 9): (31, 31)
(3, 1, 2, (1, 1, 0), 10): (18, 18)
(3, 1, 2, (1, 1, 0), 11): (9, 10)
(3, 1, 2, (1, 1, 0), 12): (1, 1)
(3, 1, 2, (1, 1, 0), 13): (3, 3)
(3, 1, 2, (1, 1, 0), 14): (2, 2)
(3, 1, 2, (1, 1, 1), -12): (0, 2)
(3, 1, 2, (1, 1, 1), -10): (0, 2)
(3, 1, 2, (1, 1, 1), -9): (0, 3)
(3, 1, 2, (1, 1, 1), -8): (0, 7)
(3, 1, 2, (1, 1, 1), -7): (1, 15)
(3, 1, 2, (1, 1, 1), -6): (5, 30)
(3, 1, 2, (1, 1, 1), -5): (7, 40)
(3, 1, 2, (1, 1, 1), -4): (21, 105)
(3, 1, 2, (1, 1, 1), -3): (54, 185)
(3, 1, 2, (1, 1, 1), -2): (116, 296)
(3, 1, 2, (1, 1, 1), -1): (240, 490)
(3, 1, 2, (1, 1, 1), 0): (533, 856)
(3, 1, 2, (1, 1, 1), 1): (544, 750)
(3, 1, 2, (1, 1, 1), 2): (452, 536)
(3, 1, 2, (1, 1, 1), 3): (336, 381)
(3, 1, 2, (1, 1, 1), 4): (224, 236)
(3, 1, 2, (1, 1, 1), 5): (146, 155)
(3, 1, 2, (1, 1, 1), 6): (69, 73)
(3, 1, 2, (1, 1, 1), 7): (55, 56)
(3, 1, 2, (1, 1, 1), 8): (22, 23)
(3, 1, 2, (1, 1, 1), 9): (15, 15)
(3, 1, 2, (1, 1, 1), 10): (8, 8)
(3, 1, 2, (1, 1, 1), 11): (3, 3)
(3, 1, 2, (1, 1, 1), 12): (2, 2)
(3, 1, 2, (1, 1, 1), 13): (2, 2)
(4, 0, 0, (0, 0, 0), -16): (0, 1)
(4, 0, 0, (0, 0, 0), -15): (0, 2)
(4, 0, 0, (0, 0, 0), -14): (0, 5)
(4, 0, 0, (0, 0, 0), -13): (0, 14)
(4, 0, 0, (0, 0, 0), -12): (0, 19)
(4, 0, 0, (0, 0, 0), -11): (1, 47)
(4, 0, 0, (0, 0, 0), -10): (0, 67)
(4, 0, 0, (0, 0, 0), -9): (1, 160)
(4, 0, 0, (0, 0, 0), -8): (4, 289)
(4, 0, 0, (0, 0, 0), -7): (15, 593)
(4, 0, 0, (0, 0, 0), -6): (41, 1123)
(4, 0, 0, (0, 0, 0), -5): (147, 2179)
(4, 0, 0, (0, 0, 0), -4): (340, 3754)
(4, 0, 0, (0, 0, 0), -3): (987, 6111)
(4, 0, 0, (0, 0, 0), -2): (2235, 9491)
(4, 0, 0, (0, 0, 0), -1): (5132, 14808)
(4, 0, 0, (0, 0, 0), 0): (11257, 23686)
(4, 0, 0, (0, 0, 0), 1): (8652, 14201)
(4, 0, 0, (0, 0, 0), 2): (6390, 8820)
(4, 0, 0, (0, 0, 0), 3): (4268, 5334)
(4, 0, 0, (0, 0, 0), 4): (2702, 3072)
(4, 0, 0, (0, 0, 0), 5): (1452, 1603)
(4, 0, 0, (0, 0, 0), 6): (826, 871)
(4, 0, 0, (0, 0, 0), 7): (435, 445)
(4, 0, 0, (0, 0, 0), 8): (224, 228)
(4, 0, 0, (0, 0, 0), 9): (108, 109)
(4, 0, 0, (0, 0, 0), 10): (62, 62)
(4, 0, 0, (0, 0, 0), 11): (30, 31)
(4, 0, 0, (0, 0, 0), 12): (12, 13)
(4, 0, 0, (0, 0, 0), 13): (8, 8)
(4, 0, 0, (0, 0, 0), 14): (2, 2)
(4, 0, 0, (0, 0, 0), 15): (1, 1)
(4, 0, 0, (0, 0, 1), -9): (0, 2)
(4, 0, 0, (0, 0, 1), -7): (0, 6)
(4, 0, 0, (0, 0, 1), -6): (0, 19)
(4, 0, 0, (0, 0, 1), -5): (3, 17)
(4, 0, 0, (0, 0, 1), -4): (0, 37)
(4, 0, 0, (0, 0, 1), -3): (11, 60)
(4, 0, 0, (0, 0, 1), -2): (42, 99)
(4, 0, 0, (0, 0, 1), -1): (79, 194)
(4, 0, 0, (0, 0, 1), 0): (157, 297)
(4, 0, 0, (0, 0, 1), 1): (158, 219)
(4, 0, 0, (0, 0, 1), 2): (93, 119)
(4, 0, 0, (0, 0, 1), 3): (81, 93)
(4, 0, 0, (0, 0, 1), 4): (52, 56)
(4, 0, 0, (0, 0, 1), 5): (21, 22)
(4, 0, 0, (0, 0, 1), 6): (13, 13)
(4, 0, 0, (0, 0, 1), 7): (14, 15)
(4, 0, 0, (0, 0, 1), 8): (4, 4)
(4, 0, 0, (0, 0, 1), 9): (3, 3)
(4, 0, 0, (0, 0, 1), 10): (2, 2)
(4, 0, 0, (0, 0, 1), 12): (1, 1)
(4, 0, 0, (0, 1, 0), -13): (0, 3)
(4, 0, 0, (0, 1, 0), -12): (0, 1)
(4, 0, 0, (0, 1, 0), -11): (0, 3)
(4, 0, 0, (0, 1, 0), -10): (0, 3)
(4, 0, 0, (0, 1, 0), -9): (0, 12)
(4, 0, 0, (0, 1, 0), -8): (0, 19)
(4, 0, 0, (0, 1, 0), -7): (1, 32)
(4, 0, 0, (0, 1, 0), -6): (2, 71)
(4, 0, 0, (0, 1, 0), -5): (16, 147)
(4, 0, 0, (0, 1, 0), -4): (28, 233)
(4, 0, 0, (0, 1, 0), -3): (93, 392)
(4, 0, 0, (0, 1, 0), -2): (199, 642)
(4, 0, 0, (0, 1, 0), -1): (454, 1076)
(4, 0, 0, (0, 1, 0), 0): (987, 1709)
(4, 0, 0, (0, 1, 0), 1): (813, 1193)
(4, 0, 0, (0, 1, 0), 2): (570, 744)
(4, 0, 0, (0, 1, 0), 3): (374, 453)
(4, 0, 0, (0, 1, 0), 4): (230, 257)
(4, 0, 0, (0, 1, 0), 5): (122, 131)
(4, 0, 0, (0, 1, 0), 6): (73, 76)
(4, 0, 0, (0, 1, 0), 7): (36, 37)
(4, 0, 0, (0, 1, 0), 8): (27, 27)
(4, 0, 0, (0, 1, 0), 9): (11, 11)
(4, 0, 0, (0, 1, 0), 10): (7, 7)
(4, 0, 0, (0, 1, 0), 11): (4, 5)
(4, 0, 0, (0, 1, 0), 12): (1, 1)
(4, 0, 0, (0, 1, 1), -10): (0, 1)
(4, 0, 0, (0, 1, 1), -9): (0, 2)
(4, 0, 0, (0, 1, 1), -8): (0, 3)
(4, 0, 0, (0, 1, 1), -7): (0, 4)
(4, 0, 0, (0, 1, 1), -6): (0, 11)
(4, 0, 0, (0, 1, 1), -5): (4, 31)
(4, 0, 0, (0, 1, 1), -4): (12, 57)
(4, 0, 0, (0, 1, 1), -3): (17, 72)
(4, 0, 0, (0, 1, 1), -2): (37, 117)
(4, 0, 0, (0, 1, 1), -1): (96, 204)
(4, 0, 0, (0, 1, 1), 0): (221, 309)
(4, 0, 0, (0, 1, 1), 1): (188, 251)
(4, 0, 0, (0, 1, 1), 2): (126, 149)
(4, 0, 0, (0, 1, 1), 3): (85, 97)
(4, 0, 0, (0, 1, 1), 4): (60, 61)
(4, 0, 0, (0, 1, 1), 5): (32, 35)
(4, 0, 0, (0, 1, 1), 6): (23, 23)
(4, 0, 0, (0, 1, 1), 7): (12, 12)
(4, 0, 0, (0, 1, 1), 8): (6, 6)
(4, 0, 0, (0, 1, 1), 9): (2, 2)
(4, 0, 0, (0, 1, 1), 10): (3, 3)
(4, 0, 0, (0, 1, 1), 12): (1, 1)
(4, 0, 0, (1, 0, 0), -14): (0, 1)
(4, 0, 0, (1, 0, 0), -13): (0, 2)
(4, 0, 0, (1, 0, 0), -12): (0, 9)
(4, 0, 0, (1, 0, 0), -11): (1, 8)
(4, 0, 0, (1, 0, 0), -10): (0, 11)
(4, 0, 0, (1, 0, 0), -9): (0, 32)
(4, 0, 0, (1, 0, 0), -8): (1, 68)
(4, 0, 0, (1, 0, 0), -7): (3, 141)
(4, 0, 0, (1, 0, 0), -6): (17, 263)
(4, 0, 0, (1, 0, 0), -5): (50, 590)
(4, 0, 0, (1, 0, 0), -4): (108, 957)
(4, 0, 0, (1, 0, 0), -3): (295, 1492)
(4, 0, 0, (1, 0, 0), -2): (667, 2398)
(4, 0, 0, (1, 0, 0), -1): (1471, 3807)
(4, 0, 0, (1, 0, 0), 0): (3224, 6132)
(4, 0, 0, (1, 0, 0), 1): (2359, 3663)
(4, 0, 0, (1, 0, 0), 2): (1723, 2306)
(4, 0, 0, (1, 0, 0), 3): (1122, 1382)
(4, 0, 0, (1, 0, 0), 4): (712, 781)
(4, 0, 0, (1, 0, 0), 5): (376, 422)
(4, 0, 0, (1, 0, 0), 6): (223, 235)
(4, 0, 0, (1, 0, 0), 7): (108, 109)
(4, 0, 0, (1, 0, 0), 8): (83, 85)
(4, 0, 0, (1, 0, 0), 9): (32, 33)
(4, 0, 0, (1, 0, 0), 10): (17, 17)
(4, 0, 0, (1, 0, 0), 11): (6, 6)
(4, 0, 0, (1, 0, 0), 12): (4, 4)
(4, 0, 0, (1, 0, 0), 13): (2, 2)
(4, 0, 0, (1, 0, 0), 14): (1, 1)
(4, 0, 0, (1, 0, 1), -11): (0, 1)
(4, 0, 0, (1, 0, 1), -9): (0, 2)
(4, 0, 0, (1, 0, 1), -8): (1, 6)
(4, 0, 0, (1, 0, 1), -7): (1, 9)
(4, 0, 0, (1, 0, 1), -6): (1, 22)
(4, 0, 0, (1, 0, 1), -5): (10, 47)
(4, 0, 0, (1, 0, 1), -4): (11, 85)
(4, 0, 0, (1, 0, 1), -3): (42, 129)
(4, 0, 0, (1, 0, 1), -2): (87, 212)
(4, 0, 0, (1, 0, 1), -1): (170, 347)
(4, 0, 0, (1, 0, 1), 0): (349, 558)
(4, 0, 0, (1, 0, 1), 1): (311, 422)
(4, 0, 0, (1, 0, 1), 2): (188, 240)
(4, 0, 0, (1, 0, 1), 3): (147, 169)
(4, 0, 0, (1, 0, 1), 4): (70, 76)
(4, 0, 0, (1, 0, 1), 5): (50, 52)
(4, 0, 0, (1, 0, 1), 6): (26, 26)
(4, 0, 0, (1, 0, 1), 7): (20, 20)
(4, 0, 0, (1, 0, 1), 8): (10, 10)
(4, 0, 0, (1, 0, 1), 9): (6, 6)
(4, 0, 0, (1, 0, 1), 10): (3, 3)
(4, 0, 0, (1, 0, 1), 11): (1, 1)
(4, 0, 0, (1, 1, 0), -13): (0, 2)
(4, 0, 0, (1, 1, 0), -12): (0, 1)
(4, 0, 0, (1, 1, 0), -11): (0, 3)
(4, 0, 0, (1, 1, 0), -10): (0, 8)
(4, 0, 0, (1, 1, 0), -9): (0, 10)
(4, 0, 0, (1, 1, 0), -8): (0, 13)
(4, 0, 0, (1, 1, 0), -7): (0, 34)
(4, 0, 0, (1, 1, 0), -6): (5, 62)
(4, 0, 0, (1, 1, 0), -5): (13, 130)
(4, 0, 0, (1, 1, 0), -4): (27, 235)
(4, 0, 0, (1, 1, 0), -3): (84, 338)
(4, 0, 0, (1, 1, 0), -2): (184, 523)
(4, 0, 0, (1, 1, 0), -1): (361, 793)
(4, 0, 0, (1, 1, 0), 0): (747, 1261)
(4, 0, 0, (1, 1, 0), 1): (626, 877)
(4, 0, 0, (1, 1, 0), 2): (430, 541)
(4, 0, 0, (1, 1, 0), 3): (263, 312)
(4, 0, 0, (1, 1, 0), 4): (179, 192)
(4, 0, 0, (1, 1, 0), 5): (114, 122)
(4, 0, 0, (1, 1, 0), 6): (52, 52)
(4, 0, 0, (1, 1, 0), 7): (29, 30)
(4, 0, 0, (1, 1, 0), 8): (23, 23)
(4, 0, 0, (1, 1, 0), 9): (12, 12)
(4, 0, 0, (1, 1, 0), 10): (4, 4)
(4, 0, 0, (1, 1, 0), 11): (3, 3)
(4, 0, 0, (1, 1, 0), 12): (1, 1)
(4, 0, 0, (1, 1, 1), -12): (0, 1)
(4, 0, 0, (1, 1, 1), -11): (0, 2)
(4, 0, 0, (1, 1, 1), -10): (0, 1)
(4, 0, 0, (1, 1, 1), -9): (0, 1)
(4, 0, 0, (1, 1, 1), -8): (0, 2)
(4, 0, 0, (1, 1, 1), -7): (0, 9)
(4, 0, 0, (1, 1, 1), -6): (1, 14)
(4, 0, 0, (1, 1, 1), -5): (4, 19)
(4, 0, 0, (1, 1, 1), -4): (10, 46)
(4, 0, 0, (1, 1, 1), -3): (27, 81)
(4, 0, 0, (1, 1, 1), -2): (49, 113)
(4, 0, 0, (1, 1, 1), -1): (81, 154)
(4, 0, 0, (1, 1, 1), 0): (178, 258)
(4, 0, 0, (1, 1, 1), 1): (175, 211)
(4, 0, 0, (1, 1, 1), 2): (122, 142)
(4, 0, 0, (1, 1, 1), 3): (94, 99)
(4, 0, 0, (1, 1, 1), 4): (58, 61)
(4, 0, 0, (1, 1, 1), 5): (41, 41)
(4, 0, 0, (1, 1, 1), 6): (16, 16)
(4, 0, 0, (1, 1, 1), 7): (13, 13)
(4, 0, 0, (1, 1, 1), 8): (7, 7)
(4, 0, 0, (1, 1, 1), 9): (2, 2)
(4, 0, 0, (1, 1, 1), 10): (2, 2)
(4, 0, 0, (1, 1, 1), 11): (1, 1)
(4, 0, 1, (0, 0, 0), -16): (0, 1)
(4, 0, 1, (0, 0, 0), -15): (0, 2)
(4, 0, 1, (0, 0, 0), -14): (0, 2)
(4, 0, 1, (0, 0, 0), -13): (0, 10)
(4, 0, 1, (0, 0, 0), -12): (0, 10)
(4, 0, 1, (0, 0, 0), -11): (0, 37)
(4, 0, 1, (0, 0, 0), -10): (0, 51)
(4, 0, 1, (0, 0, 0), -9): (1, 116)
(4, 0, 1, (0, 0, 0), -8): (3, 203)
(4, 0, 1, (0, 0, 0), -7): (11, 420)
(4, 0, 1, (0, 0, 0), -6): (19, 773)
(4, 0, 1, (0, 0, 0), -5): (76, 1443)
(4, 0, 1, (0, 0, 0), -4): (203, 2558)
(4, 0, 1, (0, 0, 0), -3): (594, 4273)
(4, 0, 1, (0, 0, 0), -2): (1352, 6570)
(4, 0, 1, (0, 0, 0), -1): (3252, 10246)
(4, 0, 1, (0, 0, 0), 0): (7303, 16499)
(4, 0, 1, (0, 0, 0), 1): (6050, 10343)
(4, 0, 1, (0, 0, 0), 2): (4723, 6683)
(4, 0, 1, (0, 0, 0), 3): (3193, 4051)
(4, 0, 1, (0, 0, 0), 4): (2103, 2421)
(4, 0, 1, (0, 0, 0), 5): (1128, 1245)
(4, 0, 1, (0, 0, 0), 6): (644, 685)
(4, 0, 1, (0, 0, 0), 7): (384, 391)
(4, 0, 1, (0, 0, 0), 8): (176, 179)
(4, 0, 1, (0, 0, 0), 9): (94, 94)
(4, 0, 1, (0, 0, 0), 10): (53, 53)
(4, 0, 1, (0, 0, 0), 11): (29, 29)
(4, 0, 1, (0, 0, 0), 12): (11, 12)
(4, 0, 1, (0, 0, 0), 13): (7, 7)
(4, 0, 1, (0, 0, 0), 14): (1, 1)
(4, 0, 1, (0, 0, 0), 15): (2, 2)
(4, 0, 1, (0, 0, 1), -13): (0, 2)
(4, 0, 1, (0, 0, 1), -12): (0, 1)
(4, 0, 1, (0, 0, 1), -11): (0, 1)
(4, 0, 1, (0, 0, 1), -10): (0, 1)
(4, 0, 1, (0, 0, 1), -9): (0, 3)
(4, 0, 1, (0, 0, 1), -8): (0, 4)
(4, 0, 1, (0, 0, 1), -7): (0, 16)
(4, 0, 1, (0, 0, 1), -6): (2, 30)
(4, 0, 1, (0, 0, 1), -5): (2, 47)
(4, 0, 1, (0, 0, 1), -4): (6, 111)
(4, 0, 1, (0, 0, 1), -3): (41, 193)
(4, 0, 1, (0, 0, 1), -2): (71, 316)
(4, 0, 1, (0, 0, 1), -1): (217, 539)
(4, 0, 1, (0, 0, 1), 0): (485, 912)
(4, 0, 1, (0, 0, 1), 1): (481, 710)
(4, 0, 1, (0, 0, 1), 2): (414, 529)
(4, 0, 1, (0, 0, 1), 3): (290, 356)
(4, 0, 1, (0, 0, 1), 4): (184, 205)
(4, 0, 1, (0, 0, 1), 5): (88, 94)
(4, 0, 1, (0, 0, 1), 6): (52, 55)
(4, 0, 1, (0, 0, 1), 7): (35, 36)
(4, 0, 1, (0, 0, 1), 8): (20, 20)
(4, 0, 1, (0, 0, 1), 9): (5, 5)
(4, 0, 1, (0, 0, 1), 10): (4, 4)
(4, 0, 1, (0, 0, 1), 11): (6, 6)
(4, 0, 1, (0, 0, 1), 12): (1, 1)
(4, 0, 1, (0, 0, 1), 14): (1, 1)
(4, 0, 1, (0, 1, 0), -13): (0, 1)
(4, 0, 1, (0, 1, 0), -12): (0, 2)
(4, 0, 1, (0, 1, 0), -11): (0, 8)
(4, 0, 1, (0, 1, 0), -10): (0, 7)
(4, 0, 1, (0, 1, 0), -9): (0, 14)
(4, 0, 1, (0, 1, 0), -8): (0, 31)
(4, 0, 1, (0, 1, 0), -7): (2, 53)
(4, 0, 1, (0, 1, 0), -6): (2, 116)
(4, 0, 1, (0, 1, 0), -5): (19, 210)
(4, 0, 1, (0, 1, 0), -4): (30, 308)
(4, 0, 1, (0, 1, 0), -3): (94, 588)
(4, 0, 1, (0, 1, 0), -2): (241, 967)
(4, 0, 1, (0, 1, 0), -1): (587, 1548)
(4, 0, 1, (0, 1, 0), 0): (1366, 2730)
(4, 0, 1, (0, 1, 0), 1): (1220, 1932)
(4, 0, 1, (0, 1, 0), 2): (1043, 1428)
(4, 0, 1, (0, 1, 0), 3): (754, 918)
(4, 0, 1, (0, 1, 0), 4): (484, 550)
(4, 0, 1, (0, 1, 0), 5): (294, 325)
(4, 0, 1, (0, 1, 0), 6): (145, 156)
(4, 0, 1, (0, 1, 0), 7): (71, 72)
(4, 0, 1, (0, 1, 0), 8): (49, 50)
(4, 0, 1, (0, 1, 0), 9): (18, 20)
(4, 0, 1, (0, 1, 0), 10): (15, 15)
(4, 0, 1, (0, 1, 0), 11): (7, 8)
(4, 0, 1, (0, 1, 0), 12): (3, 3)
(4, 0, 1, (0, 1, 0), 13): (1, 1)
(4, 0, 1, (0, 1, 1), -11): (0, 3)
(4, 0, 1, (0, 1, 1), -10): (0, 5)
(4, 0, 1, (0, 1, 1), -9): (0, 1)
(4, 0, 1, (0, 1, 1), -8): (0, 5)
(4, 0, 1, (0, 1, 1), -7): (1, 16)
(4, 0, 1, (0, 1, 1), -6): (0, 17)
(4, 0, 1, (0, 1, 1), -5): (3, 40)
(4, 0, 1, (0, 1, 1), -4): (14, 103)
(4, 0, 1, (0, 1, 1), -3): (27, 146)
(4, 0, 1, (0, 1, 1), -2): (75, 251)
(4, 0, 1, (0, 1, 1), -1): (202, 421)
(4, 0, 1, (0, 1, 1), 0): (370, 668)
(4, 0, 1, (0, 1, 1), 1): (421, 599)
(4, 0, 1, (0, 1, 1), 2): (328, 416)
(4, 0, 1, (0, 1, 1), 3): (238, 293)
(4, 0, 1, (0, 1, 1), 4): (162, 179)
(4, 0, 1, (0, 1, 1), 5): (101, 108)
(4, 0, 1, (0, 1, 1), 6): (46, 49)
(4, 0, 1, (0, 1, 1), 7): (26, 27)
(4, 0, 1, (0, 1, 1), 8): (27, 27)
(4, 0, 1, (0, 1, 1), 9): (10, 10)
(4, 0, 1, (0, 1, 1), 10): (4, 4)
(4, 0, 1, (0, 1, 1), 11): (1, 1)
(4, 0, 1, (0, 1, 1), 12): (1, 1)
(4, 0, 1, (1, 0, 0), -13): (0, 4)
(4, 0, 1, (1, 0, 0), -12): (0, 9)
(4, 0, 1, (1, 0, 0), -11): (1, 15)
(4, 0, 1, (1, 0, 0), -10): (0, 13)
(4, 0, 1, (1, 0, 0), -9): (0, 44)
(4, 0, 1, (1, 0, 0), -8): (1, 74)
(4, 0, 1, (1, 0, 0), -7): (7, 191)
(4, 0, 1, (1, 0, 0), -6): (11, 313)
(4, 0, 1, (1, 0, 0), -5): (40, 653)
(4, 0, 1, (1, 0, 0), -4): (99, 1061)
(4, 0, 1, (1, 0, 0), -3): (295, 1762)
(4, 0, 1, (1, 0, 0), -2): (652, 2754)
(4, 0, 1, (1, 0, 0), -1): (1488, 4215)
(4, 0, 1, (1, 0, 0), 0): (3155, 6590)
(4, 0, 1, (1, 0, 0), 1): (2637, 4363)
(4, 0, 1, (1, 0, 0), 2): (1996, 2732)
(4, 0, 1, (1, 0, 0), 3): (1364, 1697)
(4, 0, 1, (1, 0, 0), 4): (920, 1060)
(4, 0, 1, (1, 0, 0), 5): (502, 563)
(4, 0, 1, (1, 0, 0), 6): (323, 339)
(4, 0, 1, (1, 0, 0), 7): (169, 172)
(4, 0, 1, (1, 0, 0), 8): (102, 106)
(4, 0, 1, (1, 0, 0), 9): (53, 53)
(4, 0, 1, (1, 0, 0), 10): (26, 26)
(4, 0, 1, (1, 0, 0), 11): (8, 8)
(4, 0, 1, (1, 0, 0), 12): (5, 5)
(4, 0, 1, (1, 0, 0), 13): (3, 3)
(4, 0, 1, (1, 0, 0), 15): (2, 2)
(4, 0, 1, (1, 0, 1), -11): (0, 2)
(4, 0, 1, (1, 0, 1), -9): (0, 4)
(4, 0, 1, (1, 0, 1), -8): (0, 9)
(4, 0, 1, (1, 0, 1), -7): (2, 28)
(4, 0, 1, (1, 0, 1), -6): (0, 38)
(4, 0, 1, (1, 0, 1), -5): (9, 68)
(4, 0, 1, (1, 0, 1), -4): (17, 141)
(4, 0, 1, (1, 0, 1), -3): (51, 229)
(4, 0, 1, (1, 0, 1), -2): (114, 396)
(4, 0, 1, (1, 0, 1), -1): (277, 625)
(4, 0, 1, (1, 0, 1), 0): (581, 1021)
(4, 0, 1, (1, 0, 1), 1): (523, 758)
(4, 0, 1, (1, 0, 1), 2): (433, 570)
(4, 0, 1, (1, 0, 1), 3): (263, 318)
(4, 0, 1, (1, 0, 1), 4): (218, 243)
(4, 0, 1, (1, 0, 1), 5): (106, 117)
(4, 0, 1, (1, 0, 1), 6): (78, 80)
(4, 0, 1, (1, 0, 1), 7): (49, 49)
(4, 0, 1, (1, 0, 1), 8): (26, 28)
(4, 0, 1, (1, 0, 1), 9): (12, 12)
(4, 0, 1, (1, 0, 1), 10): (9, 9)
(4, 0, 1, (1, 0, 1), 11): (4, 4)
(4, 0, 1, (1, 0, 1), 12): (1, 1)
(4, 0, 1, (1, 1, 0), -13): (0, 3)
(4, 0, 1, (1, 1, 0), -12): (0, 5)
(4, 0, 1, (1, 1, 0), -11): (0, 8)
(4, 0, 1, (1, 1, 0), -10): (0, 11)
(4, 0, 1, (1, 1, 0), -9): (0, 12)
(4, 0, 1, (1, 1, 0), -8): (1, 30)
(4, 0, 1, (1, 1, 0), -7): (0, 57)
(4, 0, 1, (1, 1, 0), -6): (9, 117)
(4, 0, 1, (1, 1, 0), -5): (20, 224)
(4, 0, 1, (1, 1, 0), -4): (29, 370)
(4, 0, 1, (1, 1, 0), -3): (125, 573)
(4, 0, 1, (1, 1, 0), -2): (250, 853)
(4, 0, 1, (1, 1, 0), -1): (520, 1317)
(4, 0, 1, (1, 1, 0), 0): (987, 1941)
(4, 0, 1, (1, 1, 0), 1): (966, 1513)
(4, 0, 1, (1, 1, 0), 2): (780, 1006)
(4, 0, 1, (1, 1, 0), 3): (493, 603)
(4, 0, 1, (1, 1, 0), 4): (335, 370)
(4, 0, 1, (1, 1, 0), 5): (230, 252)
(4, 0, 1, (1, 1, 0), 6): (134, 139)
(4, 0, 1, (1, 1, 0), 7): (60, 65)
(4, 0, 1, (1, 1, 0), 8): (55, 56)
(4, 0, 1, (1, 1, 0), 9): (26, 26)
(4, 0, 1, (1, 1, 0), 10): (12, 12)
(4, 0, 1, (1, 1, 0), 11): (2, 2)
(4, 0, 1, (1, 1, 0), 12): (6, 6)
(4, 0, 1, (1, 1, 0), 13): (1, 1)
(4, 0, 1, (1, 1, 0), 15): (1, 1)
(4, 0, 1, (1, 1, 0), 16): (1, 1)
(4, 0, 1, (1, 1, 1), -11): (0, 2)
(4, 0, 1, (1, 1, 1), -10): (0, 6)
(4, 0, 1, (1, 1, 1), -9): (0, 2)
(4, 0, 1, (1, 1, 1), -8): (0, 4)
(4, 0, 1, (1, 1, 1), -7): (1, 15)
(4, 0, 1, (1, 1, 1), -6): (4, 34)
(4, 0, 1, (1, 1, 1), -5): (7, 45)
(4, 0, 1, (1, 1, 1), -4): (13, 99)
(4, 0, 1, (1, 1, 1), -3): (36, 151)
(4, 0, 1, (1, 1, 1), -2): (65, 198)
(4, 0, 1, (1, 1, 1), -1): (181, 381)
(4, 0, 1, (1, 1, 1), 0): (337, 575)
(4, 0, 1, (1, 1, 1), 1): (402, 551)
(4, 0, 1, (1, 1, 1), 2): (334, 411)
(4, 0, 1, (1, 1, 1), 3): (254, 299)
(4, 0, 1, (1, 1, 1), 4): (142, 158)
(4, 0, 1, (1, 1, 1), 5): (115, 120)
(4, 0, 1, (1, 1, 1), 6): (62, 63)
(4, 0, 1, (1, 1, 1), 7): (35, 36)
(4, 0, 1, (1, 1, 1), 8): (18, 18)
(4, 0, 1, (1, 1, 1), 9): (10, 10)
(4, 0, 1, (1, 1, 1), 10): (4, 4)
(4, 0, 2, (0, 0, 0), -16): (0, 1)
(4, 0, 2, (0, 0, 0), -15): (0, 2)
(4, 0, 2, (0, 0, 0), -14): (0, 2)
(4, 0, 2, (0, 0, 0), -13): (0, 5)
(4, 0, 2, (0, 0, 0), -12): (0, 8)
(4, 0, 2, (0, 0, 0), -11): (0, 22)
(4, 0, 2, (0, 0, 0), -10): (0, 38)
(4, 0, 2, (0, 0, 0), -9): (1, 82)
(4, 0, 2, (0, 0, 0), -8): (2, 152)
(4, 0, 2, (0, 0, 0), -7): (6, 288)
(4, 0, 2, (0, 0, 0), -6): (15, 570)
(4, 0, 2, (0, 0, 0), -5): (47, 1080)
(4, 0, 2, (0, 0, 0), -4): (139, 1941)
(4, 0, 2, (0, 0, 0), -3): (398, 3205)
(4, 0, 2, (0, 0, 0), -2): (948, 4933)
(4, 0, 2, (0, 0, 0), -1): (2264, 7854)
(4, 0, 2, (0, 0, 0), 0): (5247, 12612)
(4, 0, 2, (0, 0, 0), 1): (4791, 8445)
(4, 0, 2, (0, 0, 0), 2): (3992, 5779)
(4, 0, 2, (0, 0, 0), 3): (2750, 3524)
(4, 0, 2, (0, 0, 0), 4): (1824, 2110)
(4, 0, 2, (0, 0, 0), 5): (998, 1100)
(4, 0, 2, (0, 0, 0), 6): (577, 618)
(4, 0, 2, (0, 0, 0), 7): (386, 397)
(4, 0, 2, (0, 0, 0), 8): (198, 202)
(4, 0, 2, (0, 0, 0), 9): (121, 122)
(4, 0, 2, (0, 0, 0), 10): (58, 58)
(4, 0, 2, (0, 0, 0), 11): (30, 30)
(4, 0, 2, (0, 0, 0), 12): (14, 15)
(4, 0, 2, (0, 0, 0), 13): (10, 10)
(4, 0, 2, (0, 0, 0), 14): (3, 3)
(4, 0, 2, (0, 0, 1), -12): (0, 1)
(4, 0, 2, (0, 0, 1), -11): (0, 2)
(4, 0, 2, (0, 0, 1), -10): (0, 5)
(4, 0, 2, (0, 0, 1), -9): (0, 8)
(4, 0, 2, (0, 0, 1), -8): (0, 10)
(4, 0, 2, (0, 0, 1), -7): (1, 17)
(4, 0, 2, (0, 0, 1), -6): (2, 50)
(4, 0, 2, (0, 0, 1), -5): (6, 84)
(4, 0, 2, (0, 0, 1), -4): (10, 148)
(4, 0, 2, (0, 0, 1), -3): (36, 252)
(4, 0, 2, (0, 0, 1), -2): (89, 436)
(4, 0, 2, (0, 0, 1), -1): (243, 728)
(4, 0, 2, (0, 0, 1), 0): (592, 1265)
(4, 0, 2, (0, 0, 1), 1): (627, 1057)
(4, 0, 2, (0, 0, 1), 2): (531, 764)
(4, 0, 2, (0, 0, 1), 3): (439, 551)
(4, 0, 2, (0, 0, 1), 4): (315, 363)
(4, 0, 2, (0, 0, 1), 5): (174, 193)
(4, 0, 2, (0, 0, 1), 6): (105, 114)
(4, 0, 2, (0, 0, 1), 7): (54, 56)
(4, 0, 2, (0, 0, 1), 8): (40, 40)
(4, 0, 2, (0, 0, 1), 9): (20, 20)
(4, 0, 2, (0, 0, 1), 10): (6, 6)
(4, 0, 2, (0, 0, 1), 11): (6, 6)
(4, 0, 2, (0, 0, 1), 12): (2, 2)
(4, 0, 2, (0, 0, 1), 14): (1, 1)
(4, 0, 2, (0, 1, 0), -13): (0, 1)
(4, 0, 2, (0, 1, 0), -12): (0, 3)
(4, 0, 2, (0, 1, 0), -11): (0, 7)
(4, 0, 2, (0, 1, 0), -10): (0, 10)
(4, 0, 2, (0, 1, 0), -9): (0, 18)
(4, 0, 2, (0, 1, 0), -8): (0, 27)
(4, 0, 2, (0, 1, 0), -7): (1, 61)
(4, 0, 2, (0, 1, 0), -6): (3, 126)
(4, 0, 2, (0, 1, 0), -5): (18, 249)
(4, 0, 2, (0, 1, 0), -4): (34, 390)
(4, 0, 2, (0, 1, 0), -3): (88, 685)
(4, 0, 2, (0, 1, 0), -2): (239, 1106)
(4, 0, 2, (0, 1, 0), -1): (607, 1853)
(4, 0, 2, (0, 1, 0), 0): (1488, 3170)
(4, 0, 2, (0, 1, 0), 1): (1486, 2573)
(4, 0, 2, (0, 1, 0), 2): (1410, 1968)
(4, 0, 2, (0, 1, 0), 3): (1088, 1351)
(4, 0, 2, (0, 1, 0), 4): (763, 868)
(4, 0, 2, (0, 1, 0), 5): (485, 525)
(4, 0, 2, (0, 1, 0), 6): (259, 276)
(4, 0, 2, (0, 1, 0), 7): (111, 114)
(4, 0, 2, (0, 1, 0), 8): (69, 71)
(4, 0, 2, (0, 1, 0), 9): (54, 56)
(4, 0, 2, (0, 1, 0), 10): (16, 16)
(4, 0, 2, (0, 1, 0), 11): (10, 11)
(4, 0, 2, (0, 1, 0), 12): (6, 6)
(4, 0, 2, (0, 1, 0), 13): (3, 3)
(4, 0, 2, (0, 1, 0), 14): (2, 2)
(4, 0, 2, (0, 1, 1), -13): (0, 1)
(4, 0, 2, (0, 1, 1), -11): (0, 3)
(4, 0, 2, (0, 1, 1), -10): (0, 5)
(4, 0, 2, (0, 1, 1), -9): (0, 5)
(4, 0, 2, (0, 1, 1), -8): (1, 14)
(4, 0, 2, (0, 1, 1), -7): (0, 15)
(4, 0, 2, (0, 1, 1), -6): (0, 37)
(4, 0, 2, (0, 1, 1), -5): (5, 45)
(4, 0, 2, (0, 1, 1), -4): (13, 110)
(4, 0, 2, (0, 1, 1), -3): (23, 162)
(4, 0, 2, (0, 1, 1), -2): (68, 265)
(4, 0, 2, (0, 1, 1), -1): (161, 420)
(4, 0, 2, (0, 1, 1), 0): (334, 674)
(4, 0, 2, (0, 1, 1), 1): (395, 614)
(4, 0, 2, (0, 1, 1), 2): (370, 479)
(4, 0, 2, (0, 1, 1), 3): (306, 383)
(4, 0, 2, (0, 1, 1), 4): (182, 219)
(4, 0, 2, (0, 1, 1), 5): (122, 136)
(4, 0, 2, (0, 1, 1), 6): (63, 71)
(4, 0, 2, (0, 1, 1), 7): (39, 39)
(4, 0, 2, (0, 1, 1), 8): (28, 29)
(4, 0, 2, (0, 1, 1), 9): (14, 14)
(4, 0, 2, (0, 1, 1), 10): (8, 8)
(4, 0, 2, (0, 1, 1), 11): (4, 4)
(4, 0, 2, (0, 1, 1), 12): (2, 2)
(4, 0, 2, (0, 1, 1), 13): (1, 1)
(4, 0, 2, (1, 0, 0), -13): (0, 3)
(4, 0, 2, (1, 0, 0), -12): (0, 4)
(4, 0, 2, (1, 0, 0), -11): (1, 8)
(4, 0, 2, (1, 0, 0), -10): (0, 15)
(4, 0, 2, (1, 0, 0), -9): (0, 41)
(4, 0, 2, (1, 0, 0), -8): (1, 82)
(4, 0, 2, (1, 0, 0), -7): (4, 148)
(4, 0, 2, (1, 0, 0), -6): (10, 302)
(4, 0, 2, (1, 0, 0), -5): (24, 576)
(4, 0, 2, (1, 0, 0), -4): (73, 986)
(4, 0, 2, (1, 0, 0), -3): (199, 1629)
(4, 0, 2, (1, 0, 0), -2): (500, 2467)
(4, 0, 2, (1, 0, 0), -1): (1198, 3881)
(4, 0, 2, (1, 0, 0), 0): (2699, 6059)
(4, 0, 2, (1, 0, 0), 1): (2539, 4324)
(4, 0, 2, (1, 0, 0), 2): (2064, 2964)
(4, 0, 2, (1, 0, 0), 3): (1588, 1986)
(4, 0, 2, (1, 0, 0), 4): (1097, 1248)
(4, 0, 2, (1, 0, 0), 5): (639, 706)
(4, 0, 2, (1, 0, 0), 6): (413, 446)
(4, 0, 2, (1, 0, 0), 7): (237, 243)
(4, 0, 2, (1, 0, 0), 8): (131, 135)
(4, 0, 2, (1, 0, 0), 9): (69, 71)
(4, 0, 2, (1, 0, 0), 10): (35, 35)
(4, 0, 2, (1, 0, 0), 11): (21, 21)
(4, 0, 2, (1, 0, 0), 12): (13, 13)
(4, 0, 2, (1, 0, 0), 13): (4, 4)
(4, 0, 2, (1, 0, 0), 14): (1, 1)
(4, 0, 2, (1, 0, 0), 15): (2, 2)
(4, 0, 2, (1, 0, 1), -12): (0, 1)
(4, 0, 2, (1, 0, 1), -11): (0, 5)
(4, 0, 2, (1, 0, 1), -10): (0, 1)
(4, 0, 2, (1, 0, 1), -9): (0, 8)
(4, 0, 2, (1, 0, 1), -8): (0, 9)
(4, 0, 2, (1, 0, 1), -7): (0, 26)
(4, 0, 2, (1, 0, 1), -6): (1, 43)
(4, 0, 2, (1, 0, 1), -5): (8, 93)
(4, 0, 2, (1, 0, 1), -4): (17, 168)
(4, 0, 2, (1, 0, 1), -3): (42, 263)
(4, 0, 2, (1, 0, 1), -2): (139, 498)
(4, 0, 2, (1, 0, 1), -1): (242, 686)
(4, 0, 2, (1, 0, 1), 0): (542, 1144)
(4, 0, 2, (1, 0, 1), 1): (572, 948)
(4, 0, 2, (1, 0, 1), 2): (552, 762)
(4, 0, 2, (1, 0, 1), 3): (445, 543)
(4, 0, 2, (1, 0, 1), 4): (300, 345)
(4, 0, 2, (1, 0, 1), 5): (191, 213)
(4, 0, 2, (1, 0, 1), 6): (119, 129)
(4, 0, 2, (1, 0, 1), 7): (67, 68)
(4, 0, 2, (1, 0, 1), 8): (33, 35)
(4, 0, 2, (1, 0, 1), 9): (17, 18)
(4, 0, 2, (1, 0, 1), 10): (13, 13)
(4, 0, 2, (1, 0, 1), 11): (1, 1)
(4, 0, 2, (1, 0, 1), 12): (1, 1)
(4, 0, 2, (1, 0, 1), 13): (2, 2)
(4, 0, 2, (1, 0, 1), 15): (1, 1)
(4, 0, 2, (1, 1, 0), -13): (0, 4)
(4, 0, 2, (1, 1, 0), -12): (0, 4)
(4, 0, 2, (1, 1, 0), -11): (1, 3)
(4, 0, 2, (1, 1, 0), -10): (1, 3)
(4, 0, 2, (1, 1, 0), -9): (0, 19)
(4, 0, 2, (1, 1, 0), -8): (0, 28)
(4, 0, 2, (1, 1, 0), -7): (2, 60)
(4, 0, 2, (1, 1, 0), -6): (7, 102)
(4, 0, 2, (1, 1, 0), -5): (11, 221)
(4, 0, 2, (1, 1, 0), -4): (26, 401)
(4, 0, 2, (1, 1, 0), -3): (97, 653)
(4, 0, 2, (1, 1, 0), -2): (219, 957)
(4, 0, 2, (1, 1, 0), -1): (504, 1491)
(4, 0, 2, (1, 1, 0), 0): (1120, 2408)
(4, 0, 2, (1, 1, 0), 1): (1185, 1948)
(4, 0, 2, (1, 1, 0), 2): (1076, 1482)
(4, 0, 2, (1, 1, 0), 3): (761, 950)
(4, 0, 2, (1, 1, 0), 4): (570, 634)
(4, 0, 2, (1, 1, 0), 5): (364, 398)
(4, 0, 2, (1, 1, 0), 6): (210, 228)
(4, 0, 2, (1, 1, 0), 7): (126, 127)
(4, 0, 2, (1, 1, 0), 8): (71, 74)
(4, 0, 2, (1, 1, 0), 9): (39, 39)
(4, 0, 2, (1, 1, 0), 10): (19, 19)
(4, 0, 2, (1, 1, 0), 11): (10, 10)
(4, 0, 2, (1, 1, 0), 12): (9, 9)
(4, 0, 2, (1, 1, 0), 13): (1, 1)
(4, 0, 2, (1, 1, 0), 15): (1, 1)
(4, 0, 2, (1, 1, 0), 16): (2, 2)
(4, 0, 2, (1, 1, 1), -13): (0, 1)
(4, 0, 2, (1, 1, 1), -11): (0, 1)
(4, 0, 2, (1, 1, 1), -10): (0, 2)
(4, 0, 2, (1, 1, 1), -9): (0, 4)
(4, 0, 2, (1, 1, 1), -8): (0, 6)
(4, 0, 2, (1, 1, 1), -7): (1, 13)
(4, 0, 2, (1, 1, 1), -6): (0, 31)
(4, 0, 2, (1, 1, 1), -5): (4, 51)
(4, 0, 2, (1, 1, 1), -4): (10, 108)
(4, 0, 2, (1, 1, 1), -3): (36, 204)
(4, 0, 2, (1, 1, 1), -2): (73, 272)
(4, 0, 2, (1, 1, 1), -1): (153, 421)
(4, 0, 2, (1, 1, 1), 0): (352, 699)
(4, 0, 2, (1, 1, 1), 1): (395, 609)
(4, 0, 2, (1, 1, 1), 2): (364, 475)
(4, 0, 2, (1, 1, 1), 3): (294, 355)
(4, 0, 2, (1, 1, 1), 4): (212, 248)
(4, 0, 2, (1, 1, 1), 5): (124, 138)
(4, 0, 2, (1, 1, 1), 6): (81, 86)
(4, 0, 2, (1, 1, 1), 7): (45, 46)
(4, 0, 2, (1, 1, 1), 8): (30, 30)
(4, 0, 2, (1, 1, 1), 9): (18, 18)
(4, 0, 2, (1, 1, 1), 10): (10, 10)
(4, 0, 2, (1, 1, 1), 11): (5, 5)
(4, 0, 2, (1, 1, 1), 12): (3, 3)
(4, 0, 2, (1, 1, 1), 13): (2, 2)
(4, 0, 2, (1, 1, 1), 16): (1, 1)
(4, 0, 2, (1, 1, 1), 17): (1, 1)
(4, 1, 0, (0, 0, 0), -17): (0, 1)
(4, 1, 0, (0, 0, 0), -16): (0, 2)
(4, 1, 0, (0, 0, 0), -15): (0, 1)
(4, 1, 0, (0, 0, 0), -14): (0, 6)
(4, 1, 0, (0, 0, 0), -13): (0, 14)
(4, 1, 0, (0, 0, 0), -12): (1, 40)
(4, 1, 0, (0, 0, 0), -11): (1, 57)
(4, 1, 0, (0, 0, 0), -10): (1, 132)
(4, 1, 0, (0, 0, 0), -9): (5, 277)
(4, 1, 0, (0, 0, 0), -8): (11, 422)
(4, 1, 0, (0, 0, 0), -7): (21, 782)
(4, 1, 0, (0, 0, 0), -6): (101, 1356)
(4, 1, 0, (0, 0, 0), -5): (235, 2380)
(4, 1, 0, (0, 0, 0), -4): (597, 4137)
(4, 1, 0, (0, 0, 0), -3): (1535, 6810)
(4, 1, 0, (0, 0, 0), -2): (3324, 10623)
(4, 1, 0, (0, 0, 0), -1): (6693, 15077)
(4, 1, 0, (0, 0, 0), 0): (12026, 20532)
(4, 1, 0, (0, 0, 0), 1): (9557, 13287)
(4, 1, 0, (0, 0, 0), 2): (7037, 8604)
(4, 1, 0, (0, 0, 0), 3): (4916, 5543)
(4, 1, 0, (0, 0, 0), 4): (3070, 3296)
(4, 1, 0, (0, 0, 0), 5): (1815, 1885)
(4, 1, 0, (0, 0, 0), 6): (968, 997)
(4, 1, 0, (0, 0, 0), 7): (513, 520)
(4, 1, 0, (0, 0, 0), 8): (261, 263)
(4, 1, 0, (0, 0, 0), 9): (155, 156)
(4, 1, 0, (0, 0, 0), 10): (69, 70)
(4, 1, 0, (0, 0, 0), 11): (41, 42)
(4, 1, 0, (0, 0, 0), 12): (18, 18)
(4, 1, 0, (0, 0, 0), 13): (12, 12)
(4, 1, 0, (0, 0, 0), 14): (3, 3)
(4, 1, 0, (0, 0, 0), 15): (2, 2)
(4, 1, 0, (0, 0, 0), 16): (1, 1)
(4, 1, 0, (0, 0, 1), -12): (0, 1)
(4, 1, 0, (0, 0, 1), -9): (0, 2)
(4, 1, 0, (0, 0, 1), -8): (0, 4)
(4, 1, 0, (0, 0, 1), -7): (0, 5)
(4, 1, 0, (0, 0, 1), -6): (1, 10)
(4, 1, 0, (0, 0, 1), -5): (2, 24)
(4, 1, 0, (0, 0, 1), -4): (17, 51)
(4, 1, 0, (0, 0, 1), -3): (19, 77)
(4, 1, 0, (0, 0, 1), -2): (47, 121)
(4, 1, 0, (0, 0, 1), -1): (124, 214)
(4, 1, 0, (0, 0, 1), 0): (201, 290)
(4, 1, 0, (0, 0, 1), 1): (179, 219)
(4, 1, 0, (0, 0, 1), 2): (119, 138)
(4, 1, 0, (0, 0, 1), 3): (109, 121)
(4, 1, 0, (0, 0, 1), 4): (66, 67)
(4, 1, 0, (0, 0, 1), 5): (48, 48)
(4, 1, 0, (0, 0, 1), 6): (29, 29)
(4, 1, 0, (0, 0, 1), 7): (11, 11)
(4, 1, 0, (0, 0, 1), 8): (4, 4)
(4, 1, 0, (0, 0, 1), 9): (6, 6)
(4, 1, 0, (0, 0, 1), 10): (2, 2)
(4, 1, 0, (0, 0, 1), 11): (1, 1)
(4, 1, 0, (0, 1, 0), -13): (0, 1)
(4, 1, 0, (0, 1, 0), -12): (0, 4)
(4, 1, 0, (0, 1, 0), -11): (0, 4)
(4, 1, 0, (0, 1, 0), -10): (0, 8)
(4, 1, 0, (0, 1, 0), -9): (0, 19)
(4, 1, 0, (0, 1, 0), -8): (2, 30)
(4, 1, 0, (0, 1, 0), -7): (3, 53)
(4, 1, 0, (0, 1, 0), -6): (8, 93)
(4, 1, 0, (0, 1, 0), -5): (23, 165)
(4, 1, 0, (0, 1, 0), -4): (61, 267)
(4, 1, 0, (0, 1, 0), -3): (135, 422)
(4, 1, 0, (0, 1, 0), -2): (291, 734)
(4, 1, 0, (0, 1, 0), -1): (621, 1172)
(4, 1, 0, (0, 1, 0), 0): (1028, 1566)
(4, 1, 0, (0, 1, 0), 1): (855, 1099)
(4, 1, 0, (0, 1, 0), 2): (621, 737)
(4, 1, 0, (0, 1, 0), 3): (413, 461)
(4, 1, 0, (0, 1, 0), 4): (270, 289)
(4, 1, 0, (0, 1, 0), 5): (216, 219)
(4, 1, 0, (0, 1, 0), 6): (104, 107)
(4, 1, 0, (0, 1, 0), 7): (43, 44)
(4, 1, 0, (0, 1, 0), 8): (21, 21)
(4, 1, 0, (0, 1, 0), 9): (12, 12)
(4, 1, 0, (0, 1, 0), 10): (4, 4)
(4, 1, 0, (0, 1, 0), 11): (2, 2)
(4, 1, 0, (0, 1, 0), 12): (1, 1)
(4, 1, 0, (0, 1, 0), 14): (2, 2)
(4, 1, 0, (0, 1, 0), 15): (1, 1)
(4, 1, 0, (0, 1, 1), -11): (0, 1)
(4, 1, 0, (0, 1, 1), -9): (0, 1)
(4, 1, 0, (0, 1, 1), -8): (0, 7)
(4, 1, 0, (0, 1, 1), -7): (1, 9)
(4, 1, 0, (0, 1, 1), -6): (6, 26)
(4, 1, 0, (0, 1, 1), -5): (7, 33)
(4, 1, 0, (0, 1, 1), -4): (18, 72)
(4, 1, 0, (0, 1, 1), -3): (44, 98)
(4, 1, 0, (0, 1, 1), -2): (72, 148)
(4, 1, 0, (0, 1, 1), -1): (141, 225)
(4, 1, 0, (0, 1, 1), 0): (223, 287)
(4, 1, 0, (0, 1, 1), 1): (198, 241)
(4, 1, 0, (0, 1, 1), 2): (143, 149)
(4, 1, 0, (0, 1, 1), 3): (79, 85)
(4, 1, 0, (0, 1, 1), 4): (56, 59)
(4, 1, 0, (0, 1, 1), 5): (39, 40)
(4, 1, 0, (0, 1, 1), 6): (36, 36)
(4, 1, 0, (0, 1, 1), 7): (8, 8)
(4, 1, 0, (0, 1, 1), 8): (10, 10)
(4, 1, 0, (0, 1, 1), 9): (6, 6)
(4, 1, 0, (0, 1, 1), 10): (2, 2)
(4, 1, 0, (0, 1, 1), 11): (1, 1)
(4, 1, 0, (0, 1, 1), 12): (2, 2)
(4, 1, 0, (1, 0, 0), -14): (0, 1)
(4, 1, 0, (1, 0, 0), -13): (0, 6)
(4, 1, 0, (1, 0, 0), -12): (1, 7)
(4, 1, 0, (1, 0, 0), -11): (0, 12)
(4, 1, 0, (1, 0, 0), -10): (0, 24)
(4, 1, 0, (1, 0, 0), -9): (4, 74)
(4, 1, 0, (1, 0, 0), -8): (5, 96)
(4, 1, 0, (1, 0, 0), -7): (4, 189)
(4, 1, 0, (1, 0, 0), -6): (33, 310)
(4, 1, 0, (1, 0, 0), -5): (79, 653)
(4, 1, 0, (1, 0, 0), -4): (201, 1075)
(4, 1, 0, (1, 0, 0), -3): (471, 1711)
(4, 1, 0, (1, 0, 0), -2): (982, 2738)
(4, 1, 0, (1, 0, 0), -1): (1987, 3885)
(4, 1, 0, (1, 0, 0), 0): (3413, 5394)
(4, 1, 0, (1, 0, 0), 1): (2644, 3515)
(4, 1, 0, (1, 0, 0), 2): (1883, 2242)
(4, 1, 0, (1, 0, 0), 3): (1306, 1447)
(4, 1, 0, (1, 0, 0), 4): (844, 889)
(4, 1, 0, (1, 0, 0), 5): (519, 531)
(4, 1, 0, (1, 0, 0), 6): (272, 279)
(4, 1, 0, (1, 0, 0), 7): (162, 163)
(4, 1, 0, (1, 0, 0), 8): (87, 87)
(4, 1, 0, (1, 0, 0), 9): (40, 40)
(4, 1, 0, (1, 0, 0), 10): (20, 20)
(4, 1, 0, (1, 0, 0), 11): (16, 16)
(4, 1, 0, (1, 0, 0), 12): (2, 2)
(4, 1, 0, (1, 0, 0), 13): (4, 4)
(4, 1, 0, (1, 0, 0), 14): (1, 1)
(4, 1, 0, (1, 0, 1), -12): (0, 1)
(4, 1, 0, (1, 0, 1), -11): (0, 1)
(4, 1, 0, (1, 0, 1), -10): (0, 2)
(4, 1, 0, (1, 0, 1), -9): (1, 4)
(4, 1, 0, (1, 0, 1), -8): (0, 4)
(4, 1, 0, (1, 0, 1), -7): (0, 13)
(4, 1, 0, (1, 0, 1), -6): (2, 25)
(4, 1, 0, (1, 0, 1), -5): (9, 41)
(4, 1, 0, (1, 0, 1), -4): (25, 92)
(4, 1, 0, (1, 0, 1), -3): (55, 154)
(4, 1, 0, (1, 0, 1), -2): (117, 241)
(4, 1, 0, (1, 0, 1), -1): (219, 388)
(4, 1, 0, (1, 0, 1), 0): (412, 571)
(4, 1, 0, (1, 0, 1), 1): (337, 413)
(4, 1, 0, (1, 0, 1), 2): (233, 267)
(4, 1, 0, (1, 0, 1), 3): (165, 178)
(4, 1, 0, (1, 0, 1), 4): (94, 97)
(4, 1, 0, (1, 0, 1), 5): (69, 71)
(4, 1, 0, (1, 0, 1), 6): (41, 42)
(4, 1, 0, (1, 0, 1), 7): (24, 24)
(4, 1, 0, (1, 0, 1), 8): (12, 12)
(4, 1, 0, (1, 0, 1), 9): (13, 13)
(4, 1, 0, (1, 0, 1), 10): (2, 2)
(4, 1, 0, (1, 0, 1), 11): (2, 2)
(4, 1, 0, (1, 1, 0), -13): (0, 2)
(4, 1, 0, (1, 1, 0), -11): (0, 4)
(4, 1, 0, (1, 1, 0), -10): (0, 6)
(4, 1, 0, (1, 1, 0), -9): (2, 18)
(4, 1, 0, (1, 1, 0), -8): (2, 21)
(4, 1, 0, (1, 1, 0), -7): (1, 48)
(4, 1, 0, (1, 1, 0), -6): (10, 86)
(4, 1, 0, (1, 1, 0), -5): (29, 160)
(4, 1, 0, (1, 1, 0), -4): (75, 263)
(4, 1, 0, (1, 1, 0), -3): (126, 393)
(4, 1, 0, (1, 1, 0), -2): (283, 634)
(4, 1, 0, (1, 1, 0), -1): (509, 865)
(4, 1, 0, (1, 1, 0), 0): (831, 1200)
(4, 1, 0, (1, 1, 0), 1): (668, 829)
(4, 1, 0, (1, 1, 0), 2): (509, 574)
(4, 1, 0, (1, 1, 0), 3): (304, 335)
(4, 1, 0, (1, 1, 0), 4): (218, 225)
(4, 1, 0, (1, 1, 0), 5): (125, 126)
(4, 1, 0, (1, 1, 0), 6): (92, 93)
(4, 1, 0, (1, 1, 0), 7): (60, 60)
(4, 1, 0, (1, 1, 0), 8): (27, 27)
(4, 1, 0, (1, 1, 0), 9): (16, 16)
(4, 1, 0, (1, 1, 0), 10): (11, 11)
(4, 1, 0, (1, 1, 0), 11): (7, 7)
(4, 1, 0, (1, 1, 0), 12): (2, 2)
(4, 1, 0, (1, 1, 1), -10): (0, 2)
(4, 1, 0, (1, 1, 1), -9): (1, 6)
(4, 1, 0, (1, 1, 1), -8): (1, 4)
(4, 1, 0, (1, 1, 1), -7): (0, 11)
(4, 1, 0, (1, 1, 1), -6): (0, 22)
(4, 1, 0, (1, 1, 1), -5): (5, 30)
(4, 1, 0, (1, 1, 1), -4): (16, 64)
(4, 1, 0, (1, 1, 1), -3): (36, 89)
(4, 1, 0, (1, 1, 1), -2): (67, 132)
(4, 1, 0, (1, 1, 1), -1): (126, 194)
(4, 1, 0, (1, 1, 1), 0): (198, 263)
(4, 1, 0, (1, 1, 1), 1): (167, 195)
(4, 1, 0, (1, 1, 1), 2): (139, 146)
(4, 1, 0, (1, 1, 1), 3): (111, 117)
(4, 1, 0, (1, 1, 1), 4): (63, 64)
(4, 1, 0, (1, 1, 1), 5): (52, 52)
(4, 1, 0, (1, 1, 1), 6): (31, 31)
(4, 1, 0, (1, 1, 1), 7): (21, 21)
(4, 1, 0, (1, 1, 1), 8): (7, 7)
(4, 1, 0, (1, 1, 1), 9): (5, 5)
(4, 1, 0, (1, 1, 1), 10): (2, 2)
(4, 1, 0, (1, 1, 1), 11): (2, 2)
(4, 1, 0, (1, 1, 1), 12): (1, 1)
(4, 1, 1, (0, 0, 0), -16): (0, 2)
(4, 1, 1, (0, 0, 0), -15): (0, 1)
(4, 1, 1, (0, 0, 0), -14): (0, 5)
(4, 1, 1, (0, 0, 0), -13): (0, 7)
(4, 1, 1, (0, 0, 0), -12): (0, 27)
(4, 1, 1, (0, 0, 0), -11): (1, 41)
(4, 1, 1, (0, 0, 0), -10): (1, 96)
(4, 1, 1, (0, 0, 0), -9): (1, 183)
(4, 1, 1, (0, 0, 0), -8): (6, 301)
(4, 1, 1, (0, 0, 0), -7): (13, 543)
(4, 1, 1, (0, 0, 0), -6): (53, 954)
(4, 1, 1, (0, 0, 0), -5): (134, 1565)
(4, 1, 1, (0, 0, 0), -4): (321, 2809)
(4, 1, 1, (0, 0, 0), -3): (901, 4698)
(4, 1, 1, (0, 0, 0), -2): (2058, 7301)
(4, 1, 1, (0, 0, 0), -1): (4187, 10329)
(4, 1, 1, (0, 0, 0), 0): (7873, 14200)
(4, 1, 1, (0, 0, 0), 1): (6623, 9524)
(4, 1, 1, (0, 0, 0), 2): (5170, 6445)
(4, 1, 1, (0, 0, 0), 3): (3597, 4111)
(4, 1, 1, (0, 0, 0), 4): (2322, 2513)
(4, 1, 1, (0, 0, 0), 5): (1323, 1391)
(4, 1, 1, (0, 0, 0), 6): (733, 752)
(4, 1, 1, (0, 0, 0), 7): (394, 401)
(4, 1, 1, (0, 0, 0), 8): (218, 220)
(4, 1, 1, (0, 0, 0), 9): (143, 145)
(4, 1, 1, (0, 0, 0), 10): (68, 68)
(4, 1, 1, (0, 0, 0), 11): (35, 36)
(4, 1, 1, (0, 0, 0), 12): (21, 21)
(4, 1, 1, (0, 0, 0), 13): (9, 9)
(4, 1, 1, (0, 0, 0), 14): (2, 2)
(4, 1, 1, (0, 0, 0), 15): (2, 2)
(4, 1, 1, (0, 0, 0), 16): (1, 1)
(4, 1, 1, (0, 0, 1), -12): (0, 1)
(4, 1, 1, (0, 0, 1), -11): (0, 3)
(4, 1, 1, (0, 0, 1), -10): (0, 3)
(4, 1, 1, (0, 0, 1), -9): (0, 11)
(4, 1, 1, (0, 0, 1), -8): (0, 10)
(4, 1, 1, (0, 0, 1), -7): (0, 19)
(4, 1, 1, (0, 0, 1), -6): (3, 34)
(4, 1, 1, (0, 0, 1), -5): (8, 69)
(4, 1, 1, (0, 0, 1), -4): (26, 124)
(4, 1, 1, (0, 0, 1), -3): (56, 203)
(4, 1, 1, (0, 0, 1), -2): (164, 385)
(4, 1, 1, (0, 0, 1), -1): (327, 647)
(4, 1, 1, (0, 0, 1), 0): (531, 834)
(4, 1, 1, (0, 0, 1), 1): (526, 694)
(4, 1, 1, (0, 0, 1), 2): (453, 528)
(4, 1, 1, (0, 0, 1), 3): (335, 372)
(4, 1, 1, (0, 0, 1), 4): (252, 264)
(4, 1, 1, (0, 0, 1), 5): (147, 149)
(4, 1, 1, (0, 0, 1), 6): (83, 83)
(4, 1, 1, (0, 0, 1), 7): (37, 38)
(4, 1, 1, (0, 0, 1), 8): (21, 21)
(4, 1, 1, (0, 0, 1), 9): (12, 12)
(4, 1, 1, (0, 0, 1), 10): (5, 5)
(4, 1, 1, (0, 0, 1), 11): (2, 2)
(4, 1, 1, (0, 0, 1), 12): (1, 1)
(4, 1, 1, (0, 0, 1), 13): (1, 1)
(4, 1, 1, (0, 1, 0), -13): (0, 2)
(4, 1, 1, (0, 1, 0), -12): (0, 4)
(4, 1, 1, (0, 1, 0), -11): (1, 4)
(4, 1, 1, (0, 1, 0), -10): (0, 12)
(4, 1, 1, (0, 1, 0), -9): (0, 29)
(4, 1, 1, (0, 1, 0), -8): (0, 45)
(4, 1, 1, (0, 1, 0), -7): (5, 78)
(4, 1, 1, (0, 1, 0), -6): (8, 123)
(4, 1, 1, (0, 1, 0), -5): (27, 239)
(4, 1, 1, (0, 1, 0), -4): (63, 381)
(4, 1, 1, (0, 1, 0), -3): (191, 701)
(4, 1, 1, (0, 1, 0), -2): (363, 1092)
(4, 1, 1, (0, 1, 0), -1): (879, 1813)
(4, 1, 1, (0, 1, 0), 0): (1546, 2549)
(4, 1, 1, (0, 1, 0), 1): (1389, 1922)
(4, 1, 1, (0, 1, 0), 2): (1152, 1422)
(4, 1, 1, (0, 1, 0), 3): (887, 986)
(4, 1, 1, (0, 1, 0), 4): (553, 595)
(4, 1, 1, (0, 1, 0), 5): (418, 426)
(4, 1, 1, (0, 1, 0), 6): (186, 191)
(4, 1, 1, (0, 1, 0), 7): (92, 92)
(4, 1, 1, (0, 1, 0), 8): (49, 49)
(4, 1, 1, (0, 1, 0), 9): (29, 29)
(4, 1, 1, (0, 1, 0), 10): (11, 11)
(4, 1, 1, (0, 1, 0), 11): (8, 8)
(4, 1, 1, (0, 1, 0), 12): (3, 3)
(4, 1, 1, (0, 1, 0), 14): (2, 2)
(4, 1, 1, (0, 1, 0), 15): (2, 2)
(4, 1, 1, (0, 1, 1), -11): (0, 2)
(4, 1, 1, (0, 1, 1), -10): (0, 1)
(4, 1, 1, (0, 1, 1), -9): (1, 8)
(4, 1, 1, (0, 1, 1), -8): (0, 9)
(4, 1, 1, (0, 1, 1), -7): (0, 12)
(4, 1, 1, (0, 1, 1), -6): (9, 51)
(4, 1, 1, (0, 1, 1), -5): (11, 72)
(4, 1, 1, (0, 1, 1), -4): (21, 96)
(4, 1, 1, (0, 1, 1), -3): (45, 169)
(4, 1, 1, (0, 1, 1), -2): (131, 297)
(4, 1, 1, (0, 1, 1), -1): (257, 440)
(4, 1, 1, (0, 1, 1), 0): (473, 653)
(4, 1, 1, (0, 1, 1), 1): (446, 558)
(4, 1, 1, (0, 1, 1), 2): (402, 458)
(4, 1, 1, (0, 1, 1), 3): (248, 269)
(4, 1, 1, (0, 1, 1), 4): (182, 191)
(4, 1, 1, (0, 1, 1), 5): (111, 113)
(4, 1, 1, (0, 1, 1), 6): (73, 73)
(4, 1, 1, (0, 1, 1), 7): (37, 38)
(4, 1, 1, (0, 1, 1), 8): (27, 27)
(4, 1, 1, (0, 1, 1), 9): (12, 12)
(4, 1, 1, (0, 1, 1), 10): (6, 6)
(4, 1, 1, (0, 1, 1), 11): (4, 4)
(4, 1, 1, (0, 1, 1), 12): (1, 1)
(4, 1, 1, (1, 0, 0), -16): (0, 1)
(4, 1, 1, (1, 0, 0), -14): (0, 2)
(4, 1, 1, (1, 0, 0), -13): (0, 5)
(4, 1, 1, (1, 0, 0), -12): (0, 7)
(4, 1, 1, (1, 0, 0), -11): (0, 17)
(4, 1, 1, (1, 0, 0), -10): (1, 38)
(4, 1, 1, (1, 0, 0), -9): (1, 82)
(4, 1, 1, (1, 0, 0), -8): (3, 128)
(4, 1, 1, (1, 0, 0), -7): (8, 224)
(4, 1, 1, (1, 0, 0), -6): (27, 337)
(4, 1, 1, (1, 0, 0), -5): (76, 698)
(4, 1, 1, (1, 0, 0), -4): (179, 1205)
(4, 1, 1, (1, 0, 0), -3): (460, 1941)
(4, 1, 1, (1, 0, 0), -2): (981, 3120)
(4, 1, 1, (1, 0, 0), -1): (1879, 4221)
(4, 1, 1, (1, 0, 0), 0): (3380, 5741)
(4, 1, 1, (1, 0, 0), 1): (3003, 4134)
(4, 1, 1, (1, 0, 0), 2): (2292, 2802)
(4, 1, 1, (1, 0, 0), 3): (1522, 1704)
(4, 1, 1, (1, 0, 0), 4): (975, 1046)
(4, 1, 1, (1, 0, 0), 5): (645, 671)
(4, 1, 1, (1, 0, 0), 6): (335, 342)
(4, 1, 1, (1, 0, 0), 7): (219, 225)
(4, 1, 1, (1, 0, 0), 8): (121, 122)
(4, 1, 1, (1, 0, 0), 9): (65, 65)
(4, 1, 1, (1, 0, 0), 10): (33, 33)
(4, 1, 1, (1, 0, 0), 11): (22, 22)
(4, 1, 1, (1, 0, 0), 12): (11, 11)
(4, 1, 1, (1, 0, 0), 13): (4, 4)
(4, 1, 1, (1, 0, 0), 14): (1, 1)
(4, 1, 1, (1, 0, 0), 15): (2, 2)
(4, 1, 1, (1, 0, 1), -13): (0, 1)
(4, 1, 1, (1, 0, 1), -12): (0, 1)
(4, 1, 1, (1, 0, 1), -11): (0, 3)
(4, 1, 1, (1, 0, 1), -10): (0, 2)
(4, 1, 1, (1, 0, 1), -9): (0, 7)
(4, 1, 1, (1, 0, 1), -8): (0, 19)
(4, 1, 1, (1, 0, 1), -7): (1, 30)
(4, 1, 1, (1, 0, 1), -6): (3, 43)
(4, 1, 1, (1, 0, 1), -5): (16, 100)
(4, 1, 1, (1, 0, 1), -4): (34, 175)
(4, 1, 1, (1, 0, 1), -3): (93, 271)
(4, 1, 1, (1, 0, 1), -2): (169, 448)
(4, 1, 1, (1, 0, 1), -1): (382, 696)
(4, 1, 1, (1, 0, 1), 0): (625, 926)
(4, 1, 1, (1, 0, 1), 1): (604, 788)
(4, 1, 1, (1, 0, 1), 2): (483, 569)
(4, 1, 1, (1, 0, 1), 3): (333, 369)
(4, 1, 1, (1, 0, 1), 4): (246, 259)
(4, 1, 1, (1, 0, 1), 5): (166, 170)
(4, 1, 1, (1, 0, 1), 6): (96, 96)
(4, 1, 1, (1, 0, 1), 7): (60, 60)
(4, 1, 1, (1, 0, 1), 8): (19, 19)
(4, 1, 1, (1, 0, 1), 9): (13, 13)
(4, 1, 1, (1, 0, 1), 10): (9, 9)
(4, 1, 1, (1, 0, 1), 11): (3, 3)
(4, 1, 1, (1, 0, 1), 12): (2, 2)
(4, 1, 1, (1, 1, 0), -16): (0, 1)
(4, 1, 1, (1, 1, 0), -14): (0, 2)
(4, 1, 1, (1, 1, 0), -13): (0, 5)
(4, 1, 1, (1, 1, 0), -12): (0, 5)
(4, 1, 1, (1, 1, 0), -11): (0, 5)
(4, 1, 1, (1, 1, 0), -10): (0, 7)
(4, 1, 1, (1, 1, 0), -9): (1, 34)
(4, 1, 1, (1, 1, 0), -8): (2, 47)
(4, 1, 1, (1, 1, 0), -7): (4, 83)
(4, 1, 1, (1, 1, 0), -6): (11, 130)
(4, 1, 1, (1, 1, 0), -5): (32, 241)
(4, 1, 1, (1, 1, 0), -4): (76, 385)
(4, 1, 1, (1, 1, 0), -3): (191, 647)
(4, 1, 1, (1, 1, 0), -2): (370, 1007)
(4, 1, 1, (1, 1, 0), -1): (704, 1345)
(4, 1, 1, (1, 1, 0), 0): (1181, 1888)
(4, 1, 1, (1, 1, 0), 1): (1158, 1497)
(4, 1, 1, (1, 1, 0), 2): (903, 1059)
(4, 1, 1, (1, 1, 0), 3): (584, 656)
(4, 1, 1, (1, 1, 0), 4): (393, 415)
(4, 1, 1, (1, 1, 0), 5): (299, 307)
(4, 1, 1, (1, 1, 0), 6): (163, 165)
(4, 1, 1, (1, 1, 0), 7): (111, 112)
(4, 1, 1, (1, 1, 0), 8): (62, 62)
(4, 1, 1, (1, 1, 0), 9): (35, 35)
(4, 1, 1, (1, 1, 0), 10): (15, 15)
(4, 1, 1, (1, 1, 0), 11): (8, 8)
(4, 1, 1, (1, 1, 0), 12): (3, 3)
(4, 1, 1, (1, 1, 0), 13): (1, 1)
(4, 1, 1, (1, 1, 0), 15): (2, 2)
(4, 1, 1, (1, 1, 1), -14): (0, 1)
(4, 1, 1, (1, 1, 1), -11): (0, 2)
(4, 1, 1, (1, 1, 1), -10): (0, 2)
(4, 1, 1, (1, 1, 1), -9): (0, 11)
(4, 1, 1, (1, 1, 1), -8): (0, 15)
(4, 1, 1, (1, 1, 1), -7): (1, 19)
(4, 1, 1, (1, 1, 1), -6): (6, 36)
(4, 1, 1, (1, 1, 1), -5): (20, 74)
(4, 1, 1, (1, 1, 1), -4): (31, 112)
(4, 1, 1, (1, 1, 1), -3): (66, 164)
(4, 1, 1, (1, 1, 1), -2): (114, 238)
(4, 1, 1, (1, 1, 1), -1): (249, 405)
(4, 1, 1, (1, 1, 1), 0): (429, 622)
(4, 1, 1, (1, 1, 1), 1): (413, 522)
(4, 1, 1, (1, 1, 1), 2): (392, 435)
(4, 1, 1, (1, 1, 1), 3): (260, 281)
(4, 1, 1, (1, 1, 1), 4): (160, 165)
(4, 1, 1, (1, 1, 1), 5): (137, 139)
(4, 1, 1, (1, 1, 1), 6): (75, 75)
(4, 1, 1, (1, 1, 1), 7): (49, 50)
(4, 1, 1, (1, 1, 1), 8): (25, 25)
(4, 1, 1, (1, 1, 1), 9): (13, 13)
(4, 1, 1, (1, 1, 1), 10): (7, 7)
(4, 1, 1, (1, 1, 1), 11): (1, 1)
(4, 1, 2, (0, 0, 0), -16): (0, 1)
(4, 1, 2, (0, 0, 0), -15): (0, 1)
(4, 1, 2, (0, 0, 0), -14): (0, 4)
(4, 1, 2, (0, 0, 0), -13): (0, 4)
(4, 1, 2, (0, 0, 0), -12): (0, 21)
(4, 1, 2, (0, 0, 0), -11): (0, 27)
(4, 1, 2, (0, 0, 0), -10): (0, 73)
(4, 1, 2, (0, 0, 0), -9): (1, 131)
(4, 1, 2, (0, 0, 0), -8): (4, 213)
(4, 1, 2, (0, 0, 0), -7): (6, 385)
(4, 1, 2, (0, 0, 0), -6): (30, 728)
(4, 1, 2, (0, 0, 0), -5): (74, 1156)
(4, 1, 2, (0, 0, 0), -4): (195, 2057)
(4, 1, 2, (0, 0, 0), -3): (591, 3529)
(4, 1, 2, (0, 0, 0), -2): (1413, 5500)
(4, 1, 2, (0, 0, 0), -1): (2991, 7836)
(4, 1, 2, (0, 0, 0), 0): (5851, 10944)
(4, 1, 2, (0, 0, 0), 1): (5264, 7758)
(4, 1, 2, (0, 0, 0), 2): (4181, 5314)
(4, 1, 2, (0, 0, 0), 3): (3121, 3587)
(4, 1, 2, (0, 0, 0), 4): (2062, 2238)
(4, 1, 2, (0, 0, 0), 5): (1203, 1264)
(4, 1, 2, (0, 0, 0), 6): (725, 748)
(4, 1, 2, (0, 0, 0), 7): (429, 434)
(4, 1, 2, (0, 0, 0), 8): (255, 256)
(4, 1, 2, (0, 0, 0), 9): (136, 138)
(4, 1, 2, (0, 0, 0), 10): (66, 66)
(4, 1, 2, (0, 0, 0), 11): (39, 40)
(4, 1, 2, (0, 0, 0), 12): (21, 21)
(4, 1, 2, (0, 0, 0), 13): (15, 15)
(4, 1, 2, (0, 0, 0), 14): (4, 4)
(4, 1, 2, (0, 0, 0), 16): (2, 2)
(4, 1, 2, (0, 0, 1), -12): (0, 1)
(4, 1, 2, (0, 0, 1), -11): (1, 4)
(4, 1, 2, (0, 0, 1), -10): (0, 10)
(4, 1, 2, (0, 0, 1), -9): (0, 15)
(4, 1, 2, (0, 0, 1), -8): (0, 16)
(4, 1, 2, (0, 0, 1), -7): (3, 35)
(4, 1, 2, (0, 0, 1), -6): (1, 46)
(4, 1, 2, (0, 0, 1), -5): (8, 114)
(4, 1, 2, (0, 0, 1), -4): (28, 177)
(4, 1, 2, (0, 0, 1), -3): (51, 293)
(4, 1, 2, (0, 0, 1), -2): (164, 508)
(4, 1, 2, (0, 0, 1), -1): (344, 818)
(4, 1, 2, (0, 0, 1), 0): (668, 1181)
(4, 1, 2, (0, 0, 1), 1): (711, 984)
(4, 1, 2, (0, 0, 1), 2): (631, 784)
(4, 1, 2, (0, 0, 1), 3): (503, 574)
(4, 1, 2, (0, 0, 1), 4): (347, 382)
(4, 1, 2, (0, 0, 1), 5): (252, 258)
(4, 1, 2, (0, 0, 1), 6): (151, 154)
(4, 1, 2, (0, 0, 1), 7): (65, 66)
(4, 1, 2, (0, 0, 1), 8): (50, 50)
(4, 1, 2, (0, 0, 1), 9): (29, 29)
(4, 1, 2, (0, 0, 1), 10): (12, 12)
(4, 1, 2, (0, 0, 1), 11): (9, 9)
(4, 1, 2, (0, 0, 1), 12): (4, 4)
(4, 1, 2, (0, 0, 1), 13): (1, 1)
(4, 1, 2, (0, 0, 1), 14): (1, 1)
(4, 1, 2, (0, 0, 1), 15): (1, 1)
(4, 1, 2, (0, 1, 0), -13): (0, 1)
(4, 1, 2, (0, 1, 0), -12): (0, 5)
(4, 1, 2, (0, 1, 0), -11): (0, 2)
(4, 1, 2, (0, 1, 0), -10): (0, 14)
(4, 1, 2, (0, 1, 0), -9): (0, 24)
(4, 1, 2, (0, 1, 0), -8): (2, 49)
(4, 1, 2, (0, 1, 0), -7): (2, 78)
(4, 1, 2, (0, 1, 0), -6): (5, 145)
(4, 1, 2, (0, 1, 0), -5): (27, 248)
(4, 1, 2, (0, 1, 0), -4): (54, 442)
(4, 1, 2, (0, 1, 0), -3): (154, 749)
(4, 1, 2, (0, 1, 0), -2): (399, 1310)
(4, 1, 2, (0, 1, 0), -1): (870, 2079)
(4, 1, 2, (0, 1, 0), 0): (1658, 2922)
(4, 1, 2, (0, 1, 0), 1): (1793, 2546)
(4, 1, 2, (0, 1, 0), 2): (1584, 1963)
(4, 1, 2, (0, 1, 0), 3): (1289, 1461)
(4, 1, 2, (0, 1, 0), 4): (862, 938)
(4, 1, 2, (0, 1, 0), 5): (541, 562)
(4, 1, 2, (0, 1, 0), 6): (318, 324)
(4, 1, 2, (0, 1, 0), 7): (182, 186)
(4, 1, 2, (0, 1, 0), 8): (76, 76)
(4, 1, 2, (0, 1, 0), 9): (53, 53)
(4, 1, 2, (0, 1, 0), 10): (34, 34)
(4, 1, 2, (0, 1, 0), 11): (20, 20)
(4, 1, 2, (0, 1, 0), 12): (7, 7)
(4, 1, 2, (0, 1, 0), 13): (1, 1)
(4, 1, 2, (0, 1, 0), 14): (3, 3)
(4, 1, 2, (0, 1, 0), 15): (1, 1)
(4, 1, 2, (0, 1, 0), 16): (1, 1)
(4, 1, 2, (0, 1, 0), 17): (1, 1)
(4, 1, 2, (0, 1, 1), -13): (0, 1)
(4, 1, 2, (0, 1, 1), -11): (0, 1)
(4, 1, 2, (0, 1, 1), -10): (1, 3)
(4, 1, 2, (0, 1, 1), -9): (1, 9)
(4, 1, 2, (0, 1, 1), -8): (0, 11)
(4, 1, 2, (0, 1, 1), -7): (0, 23)
(4, 1, 2, (0, 1, 1), -6): (4, 45)
(4, 1, 2, (0, 1, 1), -5): (8, 63)
(4, 1, 2, (0, 1, 1), -4): (13, 88)
(4, 1, 2, (0, 1, 1), -3): (37, 174)
(4, 1, 2, (0, 1, 1), -2): (99, 294)
(4, 1, 2, (0, 1, 1), -1): (187, 424)
(4, 1, 2, (0, 1, 1), 0): (406, 656)
(4, 1, 2, (0, 1, 1), 1): (479, 621)
(4, 1, 2, (0, 1, 1), 2): (410, 499)
(4, 1, 2, (0, 1, 1), 3): (309, 353)
(4, 1, 2, (0, 1, 1), 4): (245, 266)
(4, 1, 2, (0, 1, 1), 5): (134, 140)
(4, 1, 2, (0, 1, 1), 6): (95, 97)
(4, 1, 2, (0, 1, 1), 7): (58, 58)
(4, 1, 2, (0, 1, 1), 8): (30, 30)
(4, 1, 2, (0, 1, 1), 9): (21, 21)
(4, 1, 2, (0, 1, 1), 10): (4, 4)
(4, 1, 2, (0, 1, 1), 11): (5, 5)
(4, 1, 2, (0, 1, 1), 12): (3, 3)
(4, 1, 2, (0, 1, 1), 13): (1, 1)
(4, 1, 2, (1, 0, 0), -14): (0, 2)
(4, 1, 2, (1, 0, 0), -13): (0, 2)
(4, 1, 2, (1, 0, 0), -12): (0, 6)
(4, 1, 2, (1, 0, 0), -11): (0, 12)
(4, 1, 2, (1, 0, 0), -10): (1, 39)
(4, 1, 2, (1, 0, 0), -9): (0, 68)
(4, 1, 2, (1, 0, 0), -8): (2, 122)
(4, 1, 2, (1, 0, 0), -7): (6, 208)
(4, 1, 2, (1, 0, 0), -6): (17, 358)
(4, 1, 2, (1, 0, 0), -5): (53, 618)
(4, 1, 2, (1, 0, 0), -4): (120, 1102)
(4, 1, 2, (1, 0, 0), -3): (333, 1807)
(4, 1, 2, (1, 0, 0), -2): (829, 2882)
(4, 1, 2, (1, 0, 0), -1): (1537, 3910)
(4, 1, 2, (1, 0, 0), 0): (3074, 5542)
(4, 1, 2, (1, 0, 0), 1): (2892, 4140)
(4, 1, 2, (1, 0, 0), 2): (2270, 2850)
(4, 1, 2, (1, 0, 0), 3): (1737, 1973)
(4, 1, 2, (1, 0, 0), 4): (1201, 1302)
(4, 1, 2, (1, 0, 0), 5): (770, 809)
(4, 1, 2, (1, 0, 0), 6): (493, 504)
(4, 1, 2, (1, 0, 0), 7): (289, 292)
(4, 1, 2, (1, 0, 0), 8): (179, 180)
(4, 1, 2, (1, 0, 0), 9): (87, 88)
(4, 1, 2, (1, 0, 0), 10): (50, 50)
(4, 1, 2, (1, 0, 0), 11): (30, 30)
(4, 1, 2, (1, 0, 0), 12): (19, 19)
(4, 1, 2, (1, 0, 0), 13): (10, 10)
(4, 1, 2, (1, 0, 0), 14): (1, 1)
(4, 1, 2, (1, 0, 0), 15): (1, 1)
(4, 1, 2, (1, 0, 1), -13): (0, 1)
(4, 1, 2, (1, 0, 1), -12): (0, 1)
(4, 1, 2, (1, 0, 1), -11): (0, 3)
(4, 1, 2, (1, 0, 1), -10): (0, 2)
(4, 1, 2, (1, 0, 1), -9): (1, 13)
(4, 1, 2, (1, 0, 1), -8): (1, 21)
(4, 1, 2, (1, 0, 1), -7): (1, 36)
(4, 1, 2, (1, 0, 1), -6): (2, 64)
(4, 1, 2, (1, 0, 1), -5): (9, 98)
(4, 1, 2, (1, 0, 1), -4): (34, 197)
(4, 1, 2, (1, 0, 1), -3): (64, 335)
(4, 1, 2, (1, 0, 1), -2): (177, 523)
(4, 1, 2, (1, 0, 1), -1): (332, 720)
(4, 1, 2, (1, 0, 1), 0): (657, 1113)
(4, 1, 2, (1, 0, 1), 1): (689, 962)
(4, 1, 2, (1, 0, 1), 2): (610, 769)
(4, 1, 2, (1, 0, 1), 3): (484, 543)
(4, 1, 2, (1, 0, 1), 4): (356, 385)
(4, 1, 2, (1, 0, 1), 5): (230, 244)
(4, 1, 2, (1, 0, 1), 6): (150, 150)
(4, 1, 2, (1, 0, 1), 7): (104, 105)
(4, 1, 2, (1, 0, 1), 8): (64, 66)
(4, 1, 2, (1, 0, 1), 9): (33, 33)
(4, 1, 2, (1, 0, 1), 10): (21, 21)
(4, 1, 2, (1, 0, 1), 11): (8, 8)
(4, 1, 2, (1, 0, 1), 12): (2, 2)
(4, 1, 2, (1, 0, 1), 13): (3, 3)
(4, 1, 2, (1, 0, 1), 15): (1, 1)
(4, 1, 2, (1, 0, 1), 16): (2, 2)
(4, 1, 2, (1, 0, 1), 18): (1, 1)
(4, 1, 2, (1, 1, 0), -16): (0, 1)
(4, 1, 2, (1, 1, 0), -13): (0, 3)
(4, 1, 2, (1, 1, 0), -12): (0, 5)
(4, 1, 2, (1, 1, 0), -11): (0, 3)
(4, 1, 2, (1, 1, 0), -10): (0, 16)
(4, 1, 2, (1, 1, 0), -9): (1, 21)
(4, 1, 2, (1, 1, 0), -8): (1, 41)
(4, 1, 2, (1, 1, 0), -7): (2, 84)
(4, 1, 2, (1, 1, 0), -6): (6, 137)
(4, 1, 2, (1, 1, 0), -5): (14, 245)
(4, 1, 2, (1, 1, 0), -4): (49, 430)
(4, 1, 2, (1, 1, 0), -3): (155, 698)
(4, 1, 2, (1, 1, 0), -2): (345, 1148)
(4, 1, 2, (1, 1, 0), -1): (708, 1605)
(4, 1, 2, (1, 1, 0), 0): (1288, 2236)
(4, 1, 2, (1, 1, 0), 1): (1434, 2011)
(4, 1, 2, (1, 1, 0), 2): (1170, 1436)
(4, 1, 2, (1, 1, 0), 3): (912, 1013)
(4, 1, 2, (1, 1, 0), 4): (601, 648)
(4, 1, 2, (1, 1, 0), 5): (391, 411)
(4, 1, 2, (1, 1, 0), 6): (256, 259)
(4, 1, 2, (1, 1, 0), 7): (177, 180)
(4, 1, 2, (1, 1, 0), 8): (93, 94)
(4, 1, 2, (1, 1, 0), 9): (59, 59)
(4, 1, 2, (1, 1, 0), 10): (36, 36)
(4, 1, 2, (1, 1, 0), 11): (17, 17)
(4, 1, 2, (1, 1, 0), 12): (10, 10)
(4, 1, 2, (1, 1, 0), 13): (5, 5)
(4, 1, 2, (1, 1, 0), 14): (1, 1)
(4, 1, 2, (1, 1, 0), 15): (3, 3)
(4, 1, 2, (1, 1, 0), 17): (1, 1)
(4, 1, 2, (1, 1, 1), -11): (0, 1)
(4, 1, 2, (1, 1, 1), -10): (0, 1)
(4, 1, 2, (1, 1, 1), -9): (1, 9)
(4, 1, 2, (1, 1, 1), -8): (0, 13)
(4, 1, 2, (1, 1, 1), -7): (2, 26)
(4, 1, 2, (1, 1, 1), -6): (2, 29)
(4, 1, 2, (1, 1, 1), -5): (12, 56)
(4, 1, 2, (1, 1, 1), -4): (16, 101)
(4, 1, 2, (1, 1, 1), -3): (44, 203)
(4, 1, 2, (1, 1, 1), -2): (100, 314)
(4, 1, 2, (1, 1, 1), -1): (211, 455)
(4, 1, 2, (1, 1, 1), 0): (435, 741)
(4, 1, 2, (1, 1, 1), 1): (501, 698)
(4, 1, 2, (1, 1, 1), 2): (399, 480)
(4, 1, 2, (1, 1, 1), 3): (302, 343)
(4, 1, 2, (1, 1, 1), 4): (254, 270)
(4, 1, 2, (1, 1, 1), 5): (155, 162)
(4, 1, 2, (1, 1, 1), 6): (98, 100)
(4, 1, 2, (1, 1, 1), 7): (70, 70)
(4, 1, 2, (1, 1, 1), 8): (35, 35)
(4, 1, 2, (1, 1, 1), 9): (21, 21)
(4, 1, 2, (1, 1, 1), 10): (11, 11)
(4, 1, 2, (1, 1, 1), 11): (4, 4)
(4, 1, 2, (1, 1, 1), 12): (4, 4)
(4, 1, 2, (1, 1, 1), 15): (1, 1)
(5, 0, 0, (0, 0, 0), -18): (0, 1)
(5, 0, 0, (0, 0, 0), -17): (0, 1)
(5, 0, 0, (0, 0, 0), -16): (0, 2)
(5, 0, 0, (0, 0, 0), -15): (0, 5)
(5, 0, 0, (0, 0, 0), -14): (0, 8)
(5, 0, 0, (0, 0, 0), -13): (0, 25)
(5, 0, 0, (0, 0, 0), -12): (0, 49)
(5, 0, 0, (0, 0, 0), -11): (1, 95)
(5, 0, 0, (0, 0, 0), -10): (0, 165)
(5, 0, 0, (0, 0, 0), -9): (2, 301)
(5, 0, 0, (0, 0, 0), -8): (4, 539)
(5, 0, 0, (0, 0, 0), -7): (13, 946)
(5, 0, 0, (0, 0, 0), -6): (44, 1550)
(5, 0, 0, (0, 0, 0), -5): (137, 2584)
(5, 0, 0, (0, 0, 0), -4): (352, 4284)
(5, 0, 0, (0, 0, 0), -3): (919, 6851)
(5, 0, 0, (0, 0, 0), -2): (2180, 10078)
(5, 0, 0, (0, 0, 0), -1): (4551, 14007)
(5, 0, 0, (0, 0, 0), 0): (8575, 18023)
(5, 0, 0, (0, 0, 0), 1): (8312, 13125)
(5, 0, 0, (0, 0, 0), 2): (6955, 9281)
(5, 0, 0, (0, 0, 0), 3): (4936, 5911)
(5, 0, 0, (0, 0, 0), 4): (3224, 3559)
(5, 0, 0, (0, 0, 0), 5): (1941, 2075)
(5, 0, 0, (0, 0, 0), 6): (1175, 1225)
(5, 0, 0, (0, 0, 0), 7): (690, 708)
(5, 0, 0, (0, 0, 0), 8): (393, 400)
(5, 0, 0, (0, 0, 0), 9): (228, 231)
(5, 0, 0, (0, 0, 0), 10): (119, 120)
(5, 0, 0, (0, 0, 0), 11): (45, 45)
(5, 0, 0, (0, 0, 0), 12): (29, 29)
(5, 0, 0, (0, 0, 0), 13): (11, 11)
(5, 0, 0, (0, 0, 0), 14): (8, 8)
(5, 0, 0, (0, 0, 0), 15): (1, 1)
(5, 0, 0, (0, 0, 0), 16): (3, 3)
(5, 0, 0, (0, 0, 0), 17): (1, 1)
(5, 0, 0, (0, 0, 1), -11): (0, 1)
(5, 0, 0, (0, 0, 1), -10): (0, 1)
(5, 0, 0, (0, 0, 1), -9): (0, 2)
(5, 0, 0, (0, 0, 1), -8): (0, 5)
(5, 0, 0, (0, 0, 1), -7): (1, 9)
(5, 0, 0, (0, 0, 1), -6): (0, 14)
(5, 0, 0, (0, 0, 1), -5): (4, 34)
(5, 0, 0, (0, 0, 1), -4): (7, 36)
(5, 0, 0, (0, 0, 1), -3): (15, 67)
(5, 0, 0, (0, 0, 1), -2): (32, 94)
(5, 0, 0, (0, 0, 1), -1): (61, 130)
(5, 0, 0, (0, 0, 1), 0): (132, 212)
(5, 0, 0, (0, 0, 1), 1): (139, 186)
(5, 0, 0, (0, 0, 1), 2): (117, 143)
(5, 0, 0, (0, 0, 1), 3): (93, 110)
(5, 0, 0, (0, 0, 1), 4): (86, 90)
(5, 0, 0, (0, 0, 1), 5): (40, 40)
(5, 0, 0, (0, 0, 1), 6): (25, 28)
(5, 0, 0, (0, 0, 1), 7): (17, 17)
(5, 0, 0, (0, 0, 1), 8): (8, 8)
(5, 0, 0, (0, 0, 1), 9): (3, 3)
(5, 0, 0, (0, 0, 1), 10): (4, 4)
(5, 0, 0, (0, 0, 1), 12): (2, 2)
(5, 0, 0, (0, 0, 1), 14): (1, 1)
(5, 0, 0, (0, 1, 0), -16): (0, 1)
(5, 0, 0, (0, 1, 0), -15): (0, 1)
(5, 0, 0, (0, 1, 0), -12): (0, 1)
(5, 0, 0, (0, 1, 0), -11): (0, 9)
(5, 0, 0, (0, 1, 0), -10): (0, 7)
(5, 0, 0, (0, 1, 0), -9): (0, 18)
(5, 0, 0, (0, 1, 0), -8): (1, 32)
(5, 0, 0, (0, 1, 0), -7): (0, 52)
(5, 0, 0, (0, 1, 0), -6): (2, 87)
(5, 0, 0, (0, 1, 0), -5): (16, 148)
(5, 0, 0, (0, 1, 0), -4): (39, 265)
(5, 0, 0, (0, 1, 0), -3): (85, 410)
(5, 0, 0, (0, 1, 0), -2): (200, 619)
(5, 0, 0, (0, 1, 0), -1): (386, 930)
(5, 0, 0, (0, 1, 0), 0): (715, 1233)
(5, 0, 0, (0, 1, 0), 1): (672, 959)
(5, 0, 0, (0, 1, 0), 2): (578, 711)
(5, 0, 0, (0, 1, 0), 3): (481, 536)
(5, 0, 0, (0, 1, 0), 4): (305, 342)
(5, 0, 0, (0, 1, 0), 5): (169, 177)
(5, 0, 0, (0, 1, 0), 6): (106, 115)
(5, 0, 0, (0, 1, 0), 7): (48, 48)
(5, 0, 0, (0, 1, 0), 8): (27, 28)
(5, 0, 0, (0, 1, 0), 9): (21, 21)
(5, 0, 0, (0, 1, 0), 10): (9, 9)
(5, 0, 0, (0, 1, 0), 11): (8, 8)
(5, 0, 0, (0, 1, 0), 12): (1, 1)
(5, 0, 0, (0, 1, 0), 13): (1, 1)
(5, 0, 0, (0, 1, 0), 15): (1, 1)
(5, 0, 0, (0, 1, 0), 16): (1, 1)
(5, 0, 0, (0, 1, 1), -13): (0, 1)
(5, 0, 0, (0, 1, 1), -11): (0, 4)
(5, 0, 0, (0, 1, 1), -10): (0, 4)
(5, 0, 0, (0, 1, 1), -9): (0, 3)
(5, 0, 0, (0, 1, 1), -8): (0, 5)
(5, 0, 0, (0, 1, 1), -7): (0, 11)
(5, 0, 0, (0, 1, 1), -6): (0, 9)
(5, 0, 0, (0, 1, 1), -5): (4, 30)
(5, 0, 0, (0, 1, 1), -4): (8, 42)
(5, 0, 0, (0, 1, 1), -3): (20, 73)
(5, 0, 0, (0, 1, 1), -2): (46, 118)
(5, 0, 0, (0, 1, 1), -1): (108, 185)
(5, 0, 0, (0, 1, 1), 0): (147, 197)
(5, 0, 0, (0, 1, 1), 1): (125, 160)
(5, 0, 0, (0, 1, 1), 2): (138, 159)
(5, 0, 0, (0, 1, 1), 3): (88, 94)
(5, 0, 0, (0, 1, 1), 4): (69, 74)
(5, 0, 0, (0, 1, 1), 5): (54, 55)
(5, 0, 0, (0, 1, 1), 6): (34, 34)
(5, 0, 0, (0, 1, 1), 7): (17, 17)
(5, 0, 0, (0, 1, 1), 8): (13, 13)
(5, 0, 0, (0, 1, 1), 9): (5, 5)
(5, 0, 0, (0, 1, 1), 11): (1, 1)
(5, 0, 0, (1, 0, 0), -15): (0, 2)
(5, 0, 0, (1, 0, 0), -13): (0, 6)
(5, 0, 0, (1, 0, 0), -12): (0, 6)
(5, 0, 0, (1, 0, 0), -11): (1, 26)
(5, 0, 0, (1, 0, 0), -10): (0, 48)
(5, 0, 0, (1, 0, 0), -9): (0, 66)
(5, 0, 0, (1, 0, 0), -8): (3, 131)
(5, 0, 0, (1, 0, 0), -7): (6, 231)
(5, 0, 0, (1, 0, 0), -6): (14, 400)
(5, 0, 0, (1, 0, 0), -5): (38, 648)
(5, 0, 0, (1, 0, 0), -4): (117, 1032)
(5, 0, 0, (1, 0, 0), -3): (283, 1728)
(5, 0, 0, (1, 0, 0), -2): (628, 2407)
(5, 0, 0, (1, 0, 0), -1): (1296, 3424)
(5, 0, 0, (1, 0, 0), 0): (2304, 4385)
(5, 0, 0, (1, 0, 0), 1): (2122, 3131)
(5, 0, 0, (1, 0, 0), 2): (1865, 2378)
(5, 0, 0, (1, 0, 0), 3): (1375, 1623)
(5, 0, 0, (1, 0, 0), 4): (873, 964)
(5, 0, 0, (1, 0, 0), 5): (553, 578)
(5, 0, 0, (1, 0, 0), 6): (342, 354)
(5, 0, 0, (1, 0, 0), 7): (168, 171)
(5, 0, 0, (1, 0, 0), 8): (98, 98)
(5, 0, 0, (1, 0, 0), 9): (61, 62)
(5, 0, 0, (1, 0, 0), 10): (31, 31)
(5, 0, 0, (1, 0, 0), 11): (13, 13)
(5, 0, 0, (1, 0, 0), 12): (9, 9)
(5, 0, 0, (1, 0, 0), 13): (4, 4)
(5, 0, 0, (1, 0, 0), 14): (1, 1)
(5, 0, 0, (1, 0, 0), 15): (1, 1)
(5, 0, 0, (1, 0, 1), -15): (0, 1)
(5, 0, 0, (1, 0, 1), -13): (0, 1)
(5, 0, 0, (1, 0, 1), -12): (0, 1)
(5, 0, 0, (1, 0, 1), -11): (0, 1)
(5, 0, 0, (1, 0, 1), -10): (0, 2)
(5, 0, 0, (1, 0, 1), -9): (0, 3)
(5, 0, 0, (1, 0, 1), -8): (1, 12)
(5, 0, 0, (1, 0, 1), -7): (0, 11)
(5, 0, 0, (1, 0, 1), -6): (1, 35)
(5, 0, 0, (1, 0, 1), -5): (8, 46)
(5, 0, 0, (1, 0, 1), -4): (11, 82)
(5, 0, 0, (1, 0, 1), -3): (29, 118)
(5, 0, 0, (1, 0, 1), -2): (80, 194)
(5, 0, 0, (1, 0, 1), -1): (148, 298)
(5, 0, 0, (1, 0, 1), 0): (281, 425)
(5, 0, 0, (1, 0, 1), 1): (234, 318)
(5, 0, 0, (1, 0, 1), 2): (208, 243)
(5, 0, 0, (1, 0, 1), 3): (202, 218)
(5, 0, 0, (1, 0, 1), 4): (132, 141)
(5, 0, 0, (1, 0, 1), 5): (60, 63)
(5, 0, 0, (1, 0, 1), 6): (44, 46)
(5, 0, 0, (1, 0, 1), 7): (22, 22)
(5, 0, 0, (1, 0, 1), 8): (16, 16)
(5, 0, 0, (1, 0, 1), 9): (6, 6)
(5, 0, 0, (1, 0, 1), 10): (3, 3)
(5, 0, 0, (1, 0, 1), 11): (3, 3)
(5, 0, 0, (1, 0, 1), 12): (3, 3)
(5, 0, 0, (1, 0, 1), 13): (1, 1)
(5, 0, 0, (1, 0, 1), 14): (1, 1)
(5, 0, 0, (1, 1, 0), -14): (0, 1)
(5, 0, 0, (1, 1, 0), -12): (0, 2)
(5, 0, 0, (1, 1, 0), -11): (1, 8)
(5, 0, 0, (1, 1, 0), -10): (0, 8)
(5, 0, 0, (1, 1, 0), -9): (0, 19)
(5, 0, 0, (1, 1, 0), -8): (1, 32)
(5, 0, 0, (1, 1, 0), -7): (3, 56)
(5, 0, 0, (1, 1, 0), -6): (7, 98)
(5, 0, 0, (1, 1, 0), -5): (10, 148)
(5, 0, 0, (1, 1, 0), -4): (40, 259)
(5, 0, 0, (1, 1, 0), -3): (101, 418)
(5, 0, 0, (1, 1, 0), -2): (176, 561)
(5, 0, 0, (1, 1, 0), -1): (319, 684)
(5, 0, 0, (1, 1, 0), 0): (452, 815)
(5, 0, 0, (1, 1, 0), 1): (485, 661)
(5, 0, 0, (1, 1, 0), 2): (411, 509)
(5, 0, 0, (1, 1, 0), 3): (333, 380)
(5, 0, 0, (1, 1, 0), 4): (230, 249)
(5, 0, 0, (1, 1, 0), 5): (132, 136)
(5, 0, 0, (1, 1, 0), 6): (100, 103)
(5, 0, 0, (1, 1, 0), 7): (60, 60)
(5, 0, 0, (1, 1, 0), 8): (31, 31)
(5, 0, 0, (1, 1, 0), 9): (19, 19)
(5, 0, 0, (1, 1, 0), 10): (11, 11)
(5, 0, 0, (1, 1, 0), 11): (6, 6)
(5, 0, 0, (1, 1, 0), 12): (4, 4)
(5, 0, 0, (1, 1, 0), 13): (3, 3)
(5, 0, 0, (1, 1, 0), 14): (1, 1)
(5, 0, 0, (1, 1, 0), 15): (1, 1)
(5, 0, 0, (1, 1, 1), -11): (0, 2)
(5, 0, 0, (1, 1, 1), -10): (0, 2)
(5, 0, 0, (1, 1, 1), -9): (0, 2)
(5, 0, 0, (1, 1, 1), -8): (0, 9)
(5, 0, 0, (1, 1, 1), -7): (1, 12)
(5, 0, 0, (1, 1, 1), -6): (3, 21)
(5, 0, 0, (1, 1, 1), -5): (6, 31)
(5, 0, 0, (1, 1, 1), -4): (13, 54)
(5, 0, 0, (1, 1, 1), -3): (29, 86)
(5, 0, 0, (1, 1, 1), -2): (47, 103)
(5, 0, 0, (1, 1, 1), -1): (97, 153)
(5, 0, 0, (1, 1, 1), 0): (130, 190)
(5, 0, 0, (1, 1, 1), 1): (105, 130)
(5, 0, 0, (1, 1, 1), 2): (109, 134)
(5, 0, 0, (1, 1, 1), 3): (83, 91)
(5, 0, 0, (1, 1, 1), 4): (64, 69)
(5, 0, 0, (1, 1, 1), 5): (42, 43)
(5, 0, 0, (1, 1, 1), 6): (24, 25)
(5, 0, 0, (1, 1, 1), 7): (14, 15)
(5, 0, 0, (1, 1, 1), 8): (5, 5)
(5, 0, 0, (1, 1, 1), 9): (9, 9)
(5, 0, 0, (1, 1, 1), 10): (3, 3)
(5, 0, 0, (1, 1, 1), 11): (2, 2)
(5, 0, 0, (1, 1, 1), 12): (3, 3)
(5, 0, 0, (1, 1, 1), 13): (1, 1)
(5, 0, 1, (0, 0, 0), -18): (0, 1)
(5, 0, 1, (0, 0, 0), -17): (0, 1)
(5, 0, 1, (0, 0, 0), -15): (0, 3)
(5, 0, 1, (0, 0, 0), -14): (0, 7)
(5, 0, 1, (0, 0, 0), -13): (0, 20)
(5, 0, 1, (0, 0, 0), -12): (0, 41)
(5, 0, 1, (0, 0, 0), -11): (0, 58)
(5, 0, 1, (0, 0, 0), -10): (0, 107)
(5, 0, 1, (0, 0, 0), -9): (2, 215)
(5, 0, 1, (0, 0, 0), -8): (1, 371)
(5, 0, 1, (0, 0, 0), -7): (5, 661)
(5, 0, 1, (0, 0, 0), -6): (26, 1068)
(5, 0, 1, (0, 0, 0), -5): (81, 1773)
(5, 0, 1, (0, 0, 0), -4): (187, 3000)
(5, 0, 1, (0, 0, 0), -3): (539, 4753)
(5, 0, 1, (0, 0, 0), -2): (1359, 7190)
(5, 0, 1, (0, 0, 0), -1): (2957, 10024)
(5, 0, 1, (0, 0, 0), 0): (5739, 12898)
(5, 0, 1, (0, 0, 0), 1): (5915, 9723)
(5, 0, 1, (0, 0, 0), 2): (5057, 6908)
(5, 0, 1, (0, 0, 0), 3): (3563, 4330)
(5, 0, 1, (0, 0, 0), 4): (2473, 2739)
(5, 0, 1, (0, 0, 0), 5): (1512, 1632)
(5, 0, 1, (0, 0, 0), 6): (903, 940)
(5, 0, 1, (0, 0, 0), 7): (564, 579)
(5, 0, 1, (0, 0, 0), 8): (342, 348)
(5, 0, 1, (0, 0, 0), 9): (176, 178)
(5, 0, 1, (0, 0, 0), 10): (100, 101)
(5, 0, 1, (0, 0, 0), 11): (41, 41)
(5, 0, 1, (0, 0, 0), 12): (23, 23)
(5, 0, 1, (0, 0, 0), 13): (14, 14)
(5, 0, 1, (0, 0, 0), 14): (7, 7)
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(5, 0, 1, (0, 0, 1), -10): (0, 8)
(5, 0, 1, (0, 0, 1), -9): (0, 9)
(5, 0, 1, (0, 0, 1), -8): (0, 15)
(5, 0, 1, (0, 0, 1), -7): (1, 30)
(5, 0, 1, (0, 0, 1), -6): (2, 42)
(5, 0, 1, (0, 0, 1), -5): (5, 65)
(5, 0, 1, (0, 0, 1), -4): (18, 107)
(5, 0, 1, (0, 0, 1), -3): (41, 201)
(5, 0, 1, (0, 0, 1), -2): (81, 310)
(5, 0, 1, (0, 0, 1), -1): (198, 516)
(5, 0, 1, (0, 0, 1), 0): (441, 774)
(5, 0, 1, (0, 0, 1), 1): (457, 670)
(5, 0, 1, (0, 0, 1), 2): (391, 508)
(5, 0, 1, (0, 0, 1), 3): (328, 387)
(5, 0, 1, (0, 0, 1), 4): (240, 261)
(5, 0, 1, (0, 0, 1), 5): (128, 140)
(5, 0, 1, (0, 0, 1), 6): (70, 73)
(5, 0, 1, (0, 0, 1), 7): (48, 48)
(5, 0, 1, (0, 0, 1), 8): (31, 31)
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(5, 0, 1, (0, 1, 0), -11): (0, 10)
(5, 0, 1, (0, 1, 0), -10): (0, 17)
(5, 0, 1, (0, 1, 0), -9): (0, 22)
(5, 0, 1, (0, 1, 0), -8): (1, 53)
(5, 0, 1, (0, 1, 0), -7): (2, 70)
(5, 0, 1, (0, 1, 0), -6): (3, 131)
(5, 0, 1, (0, 1, 0), -5): (13, 235)
(5, 0, 1, (0, 1, 0), -4): (39, 387)
(5, 0, 1, (0, 1, 0), -3): (94, 638)
(5, 0, 1, (0, 1, 0), -2): (244, 1003)
(5, 0, 1, (0, 1, 0), -1): (541, 1563)
(5, 0, 1, (0, 1, 0), 0): (1197, 2334)
(5, 0, 1, (0, 1, 0), 1): (1248, 1898)
(5, 0, 1, (0, 1, 0), 2): (1170, 1540)
(5, 0, 1, (0, 1, 0), 3): (873, 1026)
(5, 0, 1, (0, 1, 0), 4): (583, 656)
(5, 0, 1, (0, 1, 0), 5): (367, 382)
(5, 0, 1, (0, 1, 0), 6): (206, 216)
(5, 0, 1, (0, 1, 0), 7): (108, 109)
(5, 0, 1, (0, 1, 0), 8): (58, 59)
(5, 0, 1, (0, 1, 0), 9): (39, 39)
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(5, 0, 1, (0, 1, 1), -7): (0, 26)
(5, 0, 1, (0, 1, 1), -6): (0, 36)
(5, 0, 1, (0, 1, 1), -5): (12, 67)
(5, 0, 1, (0, 1, 1), -4): (15, 97)
(5, 0, 1, (0, 1, 1), -3): (45, 169)
(5, 0, 1, (0, 1, 1), -2): (84, 313)
(5, 0, 1, (0, 1, 1), -1): (185, 427)
(5, 0, 1, (0, 1, 1), 0): (347, 542)
(5, 0, 1, (0, 1, 1), 1): (351, 472)
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(5, 0, 1, (0, 1, 1), 3): (275, 295)
(5, 0, 1, (0, 1, 1), 4): (207, 224)
(5, 0, 1, (0, 1, 1), 5): (141, 146)
(5, 0, 1, (0, 1, 1), 6): (78, 81)
(5, 0, 1, (0, 1, 1), 7): (38, 38)
(5, 0, 1, (0, 1, 1), 8): (27, 27)
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(5, 0, 1, (0, 1, 1), 10): (9, 9)
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(5, 0, 1, (1, 0, 0), -10): (0, 46)
(5, 0, 1, (1, 0, 0), -9): (2, 94)
(5, 0, 1, (1, 0, 0), -8): (0, 138)
(5, 0, 1, (1, 0, 0), -7): (3, 274)
(5, 0, 1, (1, 0, 0), -6): (11, 491)
(5, 0, 1, (1, 0, 0), -5): (39, 754)
(5, 0, 1, (1, 0, 0), -4): (93, 1226)
(5, 0, 1, (1, 0, 0), -3): (236, 1913)
(5, 0, 1, (1, 0, 0), -2): (626, 2808)
(5, 0, 1, (1, 0, 0), -1): (1277, 3831)
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(5, 0, 1, (1, 0, 1), -8): (1, 15)
(5, 0, 1, (1, 0, 1), -7): (2, 27)
(5, 0, 1, (1, 0, 1), -6): (3, 63)
(5, 0, 1, (1, 0, 1), -5): (8, 96)
(5, 0, 1, (1, 0, 1), -4): (16, 142)
(5, 0, 1, (1, 0, 1), -3): (46, 254)
(5, 0, 1, (1, 0, 1), -2): (121, 383)
(5, 0, 1, (1, 0, 1), -1): (245, 546)
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(5, 0, 1, (1, 1, 1), -5): (5, 66)
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(5, 0, 2, (0, 0, 1), -5): (1, 103)
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(5, 0, 2, (0, 0, 1), -2): (100, 515)
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(5, 0, 2, (0, 1, 0), -9): (0, 24)
(5, 0, 2, (0, 1, 0), -8): (1, 74)
(5, 0, 2, (0, 1, 0), -7): (4, 91)
(5, 0, 2, (0, 1, 0), -6): (3, 174)
(5, 0, 2, (0, 1, 0), -5): (11, 287)
(5, 0, 2, (0, 1, 0), -4): (35, 493)
(5, 0, 2, (0, 1, 0), -3): (105, 816)
(5, 0, 2, (0, 1, 0), -2): (261, 1293)
(5, 0, 2, (0, 1, 0), -1): (670, 2088)
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(5, 0, 2, (0, 1, 0), 2): (1401, 1920)
(5, 0, 2, (0, 1, 0), 3): (1071, 1297)
(5, 0, 2, (0, 1, 0), 4): (785, 886)
(5, 0, 2, (0, 1, 0), 5): (528, 563)
(5, 0, 2, (0, 1, 0), 6): (311, 322)
(5, 0, 2, (0, 1, 0), 7): (185, 188)
(5, 0, 2, (0, 1, 0), 8): (115, 120)
(5, 0, 2, (0, 1, 0), 9): (65, 65)
(5, 0, 2, (0, 1, 0), 10): (31, 31)
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(5, 0, 2, (0, 1, 0), 12): (14, 15)
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(5, 0, 2, (0, 1, 1), -8): (0, 11)
(5, 0, 2, (0, 1, 1), -7): (0, 22)
(5, 0, 2, (0, 1, 1), -6): (0, 49)
(5, 0, 2, (0, 1, 1), -5): (2, 68)
(5, 0, 2, (0, 1, 1), -4): (13, 123)
(5, 0, 2, (0, 1, 1), -3): (34, 202)
(5, 0, 2, (0, 1, 1), -2): (81, 312)
(5, 0, 2, (0, 1, 1), -1): (147, 403)
(5, 0, 2, (0, 1, 1), 0): (269, 536)
(5, 0, 2, (0, 1, 1), 1): (337, 512)
(5, 0, 2, (0, 1, 1), 2): (347, 448)
(5, 0, 2, (0, 1, 1), 3): (284, 335)
(5, 0, 2, (0, 1, 1), 4): (228, 254)
(5, 0, 2, (0, 1, 1), 5): (158, 165)
(5, 0, 2, (0, 1, 1), 6): (89, 92)
(5, 0, 2, (0, 1, 1), 7): (47, 47)
(5, 0, 2, (0, 1, 1), 8): (34, 35)
(5, 0, 2, (0, 1, 1), 9): (22, 22)
(5, 0, 2, (0, 1, 1), 10): (7, 7)
(5, 0, 2, (0, 1, 1), 11): (3, 3)
(5, 0, 2, (0, 1, 1), 12): (4, 4)
(5, 0, 2, (0, 1, 1), 13): (1, 1)
(5, 0, 2, (0, 1, 1), 14): (2, 2)
(5, 0, 2, (1, 0, 0), -17): (0, 1)
(5, 0, 2, (1, 0, 0), -15): (0, 1)
(5, 0, 2, (1, 0, 0), -14): (0, 3)
(5, 0, 2, (1, 0, 0), -13): (0, 2)
(5, 0, 2, (1, 0, 0), -12): (0, 16)
(5, 0, 2, (1, 0, 0), -11): (0, 26)
(5, 0, 2, (1, 0, 0), -10): (0, 35)
(5, 0, 2, (1, 0, 0), -9): (1, 92)
(5, 0, 2, (1, 0, 0), -8): (0, 150)
(5, 0, 2, (1, 0, 0), -7): (1, 274)
(5, 0, 2, (1, 0, 0), -6): (8, 423)
(5, 0, 2, (1, 0, 0), -5): (31, 714)
(5, 0, 2, (1, 0, 0), -4): (71, 1214)
(5, 0, 2, (1, 0, 0), -3): (224, 1855)
(5, 0, 2, (1, 0, 0), -2): (520, 2783)
(5, 0, 2, (1, 0, 0), -1): (1093, 3708)
(5, 0, 2, (1, 0, 0), 0): (2101, 4679)
(5, 0, 2, (1, 0, 0), 1): (2356, 3849)
(5, 0, 2, (1, 0, 0), 2): (2161, 2992)
(5, 0, 2, (1, 0, 0), 3): (1635, 2007)
(5, 0, 2, (1, 0, 0), 4): (1255, 1385)
(5, 0, 2, (1, 0, 0), 5): (820, 880)
(5, 0, 2, (1, 0, 0), 6): (518, 539)
(5, 0, 2, (1, 0, 0), 7): (320, 330)
(5, 0, 2, (1, 0, 0), 8): (201, 204)
(5, 0, 2, (1, 0, 0), 9): (121, 123)
(5, 0, 2, (1, 0, 0), 10): (70, 71)
(5, 0, 2, (1, 0, 0), 11): (37, 37)
(5, 0, 2, (1, 0, 0), 12): (16, 16)
(5, 0, 2, (1, 0, 0), 13): (9, 9)
(5, 0, 2, (1, 0, 0), 14): (5, 5)
(5, 0, 2, (1, 0, 0), 15): (1, 1)
(5, 0, 2, (1, 0, 0), 16): (4, 4)
(5, 0, 2, (1, 0, 0), 17): (2, 2)
(5, 0, 2, (1, 0, 0), 19): (1, 1)
(5, 0, 2, (1, 0, 1), -15): (0, 1)
(5, 0, 2, (1, 0, 1), -13): (0, 1)
(5, 0, 2, (1, 0, 1), -12): (0, 2)
(5, 0, 2, (1, 0, 1), -11): (0, 4)
(5, 0, 2, (1, 0, 1), -10): (0, 11)
(5, 0, 2, (1, 0, 1), -9): (1, 10)
(5, 0, 2, (1, 0, 1), -8): (1, 20)
(5, 0, 2, (1, 0, 1), -7): (1, 42)
(5, 0, 2, (1, 0, 1), -6): (1, 69)
(5, 0, 2, (1, 0, 1), -5): (8, 128)
(5, 0, 2, (1, 0, 1), -4): (14, 191)
(5, 0, 2, (1, 0, 1), -3): (48, 294)
(5, 0, 2, (1, 0, 1), -2): (122, 478)
(5, 0, 2, (1, 0, 1), -1): (232, 669)
(5, 0, 2, (1, 0, 1), 0): (445, 924)
(5, 0, 2, (1, 0, 1), 1): (533, 810)
(5, 0, 2, (1, 0, 1), 2): (512, 672)
(5, 0, 2, (1, 0, 1), 3): (460, 554)
(5, 0, 2, (1, 0, 1), 4): (359, 396)
(5, 0, 2, (1, 0, 1), 5): (226, 238)
(5, 0, 2, (1, 0, 1), 6): (133, 141)
(5, 0, 2, (1, 0, 1), 7): (108, 113)
(5, 0, 2, (1, 0, 1), 8): (56, 56)
(5, 0, 2, (1, 0, 1), 9): (38, 38)
(5, 0, 2, (1, 0, 1), 10): (18, 19)
(5, 0, 2, (1, 0, 1), 11): (17, 17)
(5, 0, 2, (1, 0, 1), 12): (2, 2)
(5, 0, 2, (1, 0, 1), 14): (2, 2)
(5, 0, 2, (1, 0, 1), 15): (1, 1)
(5, 0, 2, (1, 0, 1), 18): (1, 1)
(5, 0, 2, (1, 1, 0), -17): (0, 1)
(5, 0, 2, (1, 1, 0), -13): (0, 1)
(5, 0, 2, (1, 1, 0), -12): (0, 2)
(5, 0, 2, (1, 1, 0), -11): (0, 8)
(5, 0, 2, (1, 1, 0), -10): (0, 9)
(5, 0, 2, (1, 1, 0), -9): (0, 31)
(5, 0, 2, (1, 1, 0), -8): (1, 42)
(5, 0, 2, (1, 1, 0), -7): (2, 96)
(5, 0, 2, (1, 1, 0), -6): (10, 164)
(5, 0, 2, (1, 1, 0), -5): (14, 286)
(5, 0, 2, (1, 1, 0), -4): (48, 476)
(5, 0, 2, (1, 1, 0), -3): (102, 737)
(5, 0, 2, (1, 1, 0), -2): (221, 1003)
(5, 0, 2, (1, 1, 0), -1): (469, 1431)
(5, 0, 2, (1, 1, 0), 0): (906, 1941)
(5, 0, 2, (1, 1, 0), 1): (1084, 1678)
(5, 0, 2, (1, 1, 0), 2): (1034, 1413)
(5, 0, 2, (1, 1, 0), 3): (880, 1051)
(5, 0, 2, (1, 1, 0), 4): (665, 753)
(5, 0, 2, (1, 1, 0), 5): (480, 508)
(5, 0, 2, (1, 1, 0), 6): (291, 305)
(5, 0, 2, (1, 1, 0), 7): (152, 157)
(5, 0, 2, (1, 1, 0), 8): (111, 112)
(5, 0, 2, (1, 1, 0), 9): (76, 76)
(5, 0, 2, (1, 1, 0), 10): (47, 47)
(5, 0, 2, (1, 1, 0), 11): (20, 20)
(5, 0, 2, (1, 1, 0), 12): (17, 17)
(5, 0, 2, (1, 1, 0), 13): (8, 8)
(5, 0, 2, (1, 1, 0), 14): (1, 1)
(5, 0, 2, (1, 1, 0), 15): (1, 1)
(5, 0, 2, (1, 1, 0), 16): (1, 1)
(5, 0, 2, (1, 1, 0), 17): (2, 2)
(5, 0, 2, (1, 1, 1), -15): (0, 1)
(5, 0, 2, (1, 1, 1), -11): (0, 1)
(5, 0, 2, (1, 1, 1), -10): (0, 7)
(5, 0, 2, (1, 1, 1), -9): (0, 4)
(5, 0, 2, (1, 1, 1), -8): (0, 8)
(5, 0, 2, (1, 1, 1), -7): (0, 22)
(5, 0, 2, (1, 1, 1), -6): (3, 35)
(5, 0, 2, (1, 1, 1), -5): (2, 82)
(5, 0, 2, (1, 1, 1), -4): (11, 114)
(5, 0, 2, (1, 1, 1), -3): (36, 200)
(5, 0, 2, (1, 1, 1), -2): (73, 283)
(5, 0, 2, (1, 1, 1), -1): (135, 401)
(5, 0, 2, (1, 1, 1), 0): (294, 580)
(5, 0, 2, (1, 1, 1), 1): (349, 516)
(5, 0, 2, (1, 1, 1), 2): (347, 467)
(5, 0, 2, (1, 1, 1), 3): (332, 390)
(5, 0, 2, (1, 1, 1), 4): (260, 279)
(5, 0, 2, (1, 1, 1), 5): (159, 168)
(5, 0, 2, (1, 1, 1), 6): (105, 110)
(5, 0, 2, (1, 1, 1), 7): (67, 67)
(5, 0, 2, (1, 1, 1), 8): (31, 33)
(5, 0, 2, (1, 1, 1), 9): (27, 27)
(5, 0, 2, (1, 1, 1), 10): (17, 17)
(5, 0, 2, (1, 1, 1), 11): (8, 8)
(5, 0, 2, (1, 1, 1), 12): (5, 5)
(5, 0, 2, (1, 1, 1), 13): (2, 2)
(5, 1, 0, (0, 0, 0), -19): (0, 1)
(5, 1, 0, (0, 0, 0), -18): (0, 1)
(5, 1, 0, (0, 0, 0), -17): (0, 2)
(5, 1, 0, (0, 0, 0), -16): (0, 6)
(5, 1, 0, (0, 0, 0), -15): (0, 8)
(5, 1, 0, (0, 0, 0), -14): (0, 12)
(5, 1, 0, (0, 0, 0), -13): (0, 40)
(5, 1, 0, (0, 0, 0), -12): (1, 69)
(5, 1, 0, (0, 0, 0), -11): (0, 102)
(5, 1, 0, (0, 0, 0), -10): (1, 194)
(5, 1, 0, (0, 0, 0), -9): (4, 356)
(5, 1, 0, (0, 0, 0), -8): (13, 659)
(5, 1, 0, (0, 0, 0), -7): (34, 1105)
(5, 1, 0, (0, 0, 0), -6): (80, 1822)
(5, 1, 0, (0, 0, 0), -5): (235, 3001)
(5, 1, 0, (0, 0, 0), -4): (526, 4659)
(5, 1, 0, (0, 0, 0), -3): (1346, 6840)
(5, 1, 0, (0, 0, 0), -2): (2910, 10124)
(5, 1, 0, (0, 0, 0), -1): (5543, 13297)
(5, 1, 0, (0, 0, 0), 0): (9626, 16376)
(5, 1, 0, (0, 0, 0), 1): (9506, 12874)
(5, 1, 0, (0, 0, 0), 2): (7634, 9062)
(5, 1, 0, (0, 0, 0), 3): (5541, 6119)
(5, 1, 0, (0, 0, 0), 4): (3719, 3928)
(5, 1, 0, (0, 0, 0), 5): (2313, 2394)
(5, 1, 0, (0, 0, 0), 6): (1419, 1445)
(5, 1, 0, (0, 0, 0), 7): (893, 899)
(5, 1, 0, (0, 0, 0), 8): (496, 498)
(5, 1, 0, (0, 0, 0), 9): (277, 279)
(5, 1, 0, (0, 0, 0), 10): (163, 163)
(5, 1, 0, (0, 0, 0), 11): (78, 78)
(5, 1, 0, (0, 0, 0), 12): (38, 38)
(5, 1, 0, (0, 0, 0), 13): (20, 20)
(5, 1, 0, (0, 0, 0), 14): (10, 10)
(5, 1, 0, (0, 0, 0), 15): (4, 4)
(5, 1, 0, (0, 0, 0), 16): (1, 1)
(5, 1, 0, (0, 0, 1), -13): (0, 1)
(5, 1, 0, (0, 0, 1), -10): (0, 2)
(5, 1, 0, (0, 0, 1), -9): (0, 5)
(5, 1, 0, (0, 0, 1), -8): (0, 9)
(5, 1, 0, (0, 0, 1), -7): (0, 12)
(5, 1, 0, (0, 0, 1), -6): (1, 19)
(5, 1, 0, (0, 0, 1), -5): (3, 19)
(5, 1, 0, (0, 0, 1), -4): (6, 30)
(5, 1, 0, (0, 0, 1), -3): (23, 80)
(5, 1, 0, (0, 0, 1), -2): (42, 112)
(5, 1, 0, (0, 0, 1), -1): (89, 169)
(5, 1, 0, (0, 0, 1), 0): (169, 240)
(5, 1, 0, (0, 0, 1), 1): (186, 229)
(5, 1, 0, (0, 0, 1), 2): (146, 163)
(5, 1, 0, (0, 0, 1), 3): (146, 151)
(5, 1, 0, (0, 0, 1), 4): (86, 90)
(5, 1, 0, (0, 0, 1), 5): (44, 46)
(5, 1, 0, (0, 0, 1), 6): (39, 40)
(5, 1, 0, (0, 0, 1), 7): (15, 15)
(5, 1, 0, (0, 0, 1), 8): (14, 14)
(5, 1, 0, (0, 0, 1), 9): (1, 1)
(5, 1, 0, (0, 0, 1), 10): (4, 4)
(5, 1, 0, (0, 0, 1), 11): (1, 1)
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(5, 1, 0, (0, 0, 1), 13): (1, 1)
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(5, 1, 0, (0, 1, 0), -14): (0, 3)
(5, 1, 0, (0, 1, 0), -13): (0, 1)
(5, 1, 0, (0, 1, 0), -12): (0, 5)
(5, 1, 0, (0, 1, 0), -11): (0, 9)
(5, 1, 0, (0, 1, 0), -10): (0, 12)
(5, 1, 0, (0, 1, 0), -9): (0, 16)
(5, 1, 0, (0, 1, 0), -8): (2, 43)
(5, 1, 0, (0, 1, 0), -7): (4, 64)
(5, 1, 0, (0, 1, 0), -6): (7, 105)
(5, 1, 0, (0, 1, 0), -5): (15, 192)
(5, 1, 0, (0, 1, 0), -4): (54, 282)
(5, 1, 0, (0, 1, 0), -3): (117, 440)
(5, 1, 0, (0, 1, 0), -2): (239, 688)
(5, 1, 0, (0, 1, 0), -1): (467, 931)
(5, 1, 0, (0, 1, 0), 0): (790, 1179)
(5, 1, 0, (0, 1, 0), 1): (770, 966)
(5, 1, 0, (0, 1, 0), 2): (696, 792)
(5, 1, 0, (0, 1, 0), 3): (563, 598)
(5, 1, 0, (0, 1, 0), 4): (339, 361)
(5, 1, 0, (0, 1, 0), 5): (234, 241)
(5, 1, 0, (0, 1, 0), 6): (146, 146)
(5, 1, 0, (0, 1, 0), 7): (72, 72)
(5, 1, 0, (0, 1, 0), 8): (50, 50)
(5, 1, 0, (0, 1, 0), 9): (24, 24)
(5, 1, 0, (0, 1, 0), 10): (10, 10)
(5, 1, 0, (0, 1, 0), 11): (8, 8)
(5, 1, 0, (0, 1, 0), 12): (7, 7)
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(5, 1, 0, (0, 1, 0), 14): (1, 1)
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(5, 1, 0, (0, 1, 1), -11): (0, 1)
(5, 1, 0, (0, 1, 1), -10): (0, 2)
(5, 1, 0, (0, 1, 1), -9): (0, 2)
(5, 1, 0, (0, 1, 1), -8): (0, 10)
(5, 1, 0, (0, 1, 1), -7): (3, 15)
(5, 1, 0, (0, 1, 1), -6): (1, 24)
(5, 1, 0, (0, 1, 1), -5): (7, 38)
(5, 1, 0, (0, 1, 1), -4): (18, 62)
(5, 1, 0, (0, 1, 1), -3): (38, 87)
(5, 1, 0, (0, 1, 1), -2): (61, 111)
(5, 1, 0, (0, 1, 1), -1): (100, 178)
(5, 1, 0, (0, 1, 1), 0): (173, 215)
(5, 1, 0, (0, 1, 1), 1): (143, 166)
(5, 1, 0, (0, 1, 1), 2): (138, 152)
(5, 1, 0, (0, 1, 1), 3): (128, 133)
(5, 1, 0, (0, 1, 1), 4): (107, 107)
(5, 1, 0, (0, 1, 1), 5): (72, 74)
(5, 1, 0, (0, 1, 1), 6): (31, 31)
(5, 1, 0, (0, 1, 1), 7): (34, 34)
(5, 1, 0, (0, 1, 1), 8): (12, 12)
(5, 1, 0, (0, 1, 1), 9): (8, 8)
(5, 1, 0, (0, 1, 1), 10): (9, 9)
(5, 1, 0, (0, 1, 1), 11): (3, 3)
(5, 1, 0, (0, 1, 1), 12): (2, 2)
(5, 1, 0, (1, 0, 0), -18): (0, 1)
(5, 1, 0, (1, 0, 0), -16): (0, 1)
(5, 1, 0, (1, 0, 0), -15): (0, 4)
(5, 1, 0, (1, 0, 0), -14): (0, 3)
(5, 1, 0, (1, 0, 0), -13): (0, 9)
(5, 1, 0, (1, 0, 0), -12): (0, 21)
(5, 1, 0, (1, 0, 0), -11): (0, 22)
(5, 1, 0, (1, 0, 0), -10): (1, 50)
(5, 1, 0, (1, 0, 0), -9): (1, 89)
(5, 1, 0, (1, 0, 0), -8): (4, 180)
(5, 1, 0, (1, 0, 0), -7): (15, 275)
(5, 1, 0, (1, 0, 0), -6): (28, 488)
(5, 1, 0, (1, 0, 0), -5): (84, 741)
(5, 1, 0, (1, 0, 0), -4): (154, 1105)
(5, 1, 0, (1, 0, 0), -3): (405, 1637)
(5, 1, 0, (1, 0, 0), -2): (858, 2534)
(5, 1, 0, (1, 0, 0), -1): (1597, 3309)
(5, 1, 0, (1, 0, 0), 0): (2580, 4111)
(5, 1, 0, (1, 0, 0), 1): (2479, 3233)
(5, 1, 0, (1, 0, 0), 2): (2061, 2366)
(5, 1, 0, (1, 0, 0), 3): (1514, 1638)
(5, 1, 0, (1, 0, 0), 4): (1022, 1069)
(5, 1, 0, (1, 0, 0), 5): (624, 643)
(5, 1, 0, (1, 0, 0), 6): (410, 417)
(5, 1, 0, (1, 0, 0), 7): (268, 270)
(5, 1, 0, (1, 0, 0), 8): (135, 135)
(5, 1, 0, (1, 0, 0), 9): (68, 69)
(5, 1, 0, (1, 0, 0), 10): (46, 46)
(5, 1, 0, (1, 0, 0), 11): (23, 23)
(5, 1, 0, (1, 0, 0), 12): (7, 7)
(5, 1, 0, (1, 0, 0), 13): (1, 1)
(5, 1, 0, (1, 0, 0), 14): (2, 2)
(5, 1, 0, (1, 0, 0), 15): (2, 2)
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(5, 1, 0, (1, 0, 1), -11): (0, 2)
(5, 1, 0, (1, 0, 1), -10): (0, 8)
(5, 1, 0, (1, 0, 1), -9): (0, 4)
(5, 1, 0, (1, 0, 1), -8): (0, 9)
(5, 1, 0, (1, 0, 1), -7): (0, 22)
(5, 1, 0, (1, 0, 1), -6): (2, 29)
(5, 1, 0, (1, 0, 1), -5): (9, 63)
(5, 1, 0, (1, 0, 1), -4): (12, 76)
(5, 1, 0, (1, 0, 1), -3): (45, 128)
(5, 1, 0, (1, 0, 1), -2): (101, 215)
(5, 1, 0, (1, 0, 1), -1): (188, 318)
(5, 1, 0, (1, 0, 1), 0): (269, 376)
(5, 1, 0, (1, 0, 1), 1): (294, 351)
(5, 1, 0, (1, 0, 1), 2): (251, 276)
(5, 1, 0, (1, 0, 1), 3): (206, 221)
(5, 1, 0, (1, 0, 1), 4): (126, 126)
(5, 1, 0, (1, 0, 1), 5): (93, 93)
(5, 1, 0, (1, 0, 1), 6): (51, 52)
(5, 1, 0, (1, 0, 1), 7): (26, 26)
(5, 1, 0, (1, 0, 1), 8): (17, 17)
(5, 1, 0, (1, 0, 1), 9): (6, 6)
(5, 1, 0, (1, 0, 1), 10): (4, 4)
(5, 1, 0, (1, 0, 1), 11): (1, 1)
(5, 1, 0, (1, 0, 1), 12): (2, 2)
(5, 1, 0, (1, 0, 1), 13): (1, 1)
(5, 1, 0, (1, 0, 1), 14): (1, 1)
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(5, 1, 0, (1, 1, 0), -13): (0, 1)
(5, 1, 0, (1, 1, 0), -12): (0, 4)
(5, 1, 0, (1, 1, 0), -11): (0, 9)
(5, 1, 0, (1, 1, 0), -10): (0, 9)
(5, 1, 0, (1, 1, 0), -9): (0, 27)
(5, 1, 0, (1, 1, 0), -8): (2, 41)
(5, 1, 0, (1, 1, 0), -7): (4, 74)
(5, 1, 0, (1, 1, 0), -6): (13, 116)
(5, 1, 0, (1, 1, 0), -5): (26, 185)
(5, 1, 0, (1, 1, 0), -4): (52, 260)
(5, 1, 0, (1, 1, 0), -3): (136, 415)
(5, 1, 0, (1, 1, 0), -2): (249, 600)
(5, 1, 0, (1, 1, 0), -1): (363, 616)
(5, 1, 0, (1, 1, 0), 0): (550, 795)
(5, 1, 0, (1, 1, 0), 1): (551, 662)
(5, 1, 0, (1, 1, 0), 2): (407, 466)
(5, 1, 0, (1, 1, 0), 3): (358, 373)
(5, 1, 0, (1, 1, 0), 4): (251, 259)
(5, 1, 0, (1, 1, 0), 5): (181, 188)
(5, 1, 0, (1, 1, 0), 6): (138, 139)
(5, 1, 0, (1, 1, 0), 7): (89, 90)
(5, 1, 0, (1, 1, 0), 8): (38, 38)
(5, 1, 0, (1, 1, 0), 9): (25, 26)
(5, 1, 0, (1, 1, 0), 10): (17, 17)
(5, 1, 0, (1, 1, 0), 11): (10, 10)
(5, 1, 0, (1, 1, 0), 12): (5, 5)
(5, 1, 0, (1, 1, 1), -14): (0, 1)
(5, 1, 0, (1, 1, 1), -13): (0, 1)
(5, 1, 0, (1, 1, 1), -12): (0, 2)
(5, 1, 0, (1, 1, 1), -11): (0, 3)
(5, 1, 0, (1, 1, 1), -10): (0, 4)
(5, 1, 0, (1, 1, 1), -9): (0, 3)
(5, 1, 0, (1, 1, 1), -8): (1, 7)
(5, 1, 0, (1, 1, 1), -7): (2, 19)
(5, 1, 0, (1, 1, 1), -6): (6, 31)
(5, 1, 0, (1, 1, 1), -5): (8, 43)
(5, 1, 0, (1, 1, 1), -4): (17, 50)
(5, 1, 0, (1, 1, 1), -3): (54, 96)
(5, 1, 0, (1, 1, 1), -2): (84, 143)
(5, 1, 0, (1, 1, 1), -1): (107, 157)
(5, 1, 0, (1, 1, 1), 0): (162, 205)
(5, 1, 0, (1, 1, 1), 1): (172, 192)
(5, 1, 0, (1, 1, 1), 2): (143, 155)
(5, 1, 0, (1, 1, 1), 3): (110, 118)
(5, 1, 0, (1, 1, 1), 4): (73, 74)
(5, 1, 0, (1, 1, 1), 5): (62, 63)
(5, 1, 0, (1, 1, 1), 6): (37, 37)
(5, 1, 0, (1, 1, 1), 7): (36, 37)
(5, 1, 0, (1, 1, 1), 8): (15, 15)
(5, 1, 0, (1, 1, 1), 9): (9, 10)
(5, 1, 0, (1, 1, 1), 10): (4, 4)
(5, 1, 0, (1, 1, 1), 11): (1, 1)
(5, 1, 0, (1, 1, 1), 12): (2, 2)
(5, 1, 1, (0, 0, 0), -19): (0, 1)
(5, 1, 1, (0, 0, 0), -17): (0, 2)
(5, 1, 1, (0, 0, 0), -16): (0, 5)
(5, 1, 1, (0, 0, 0), -15): (0, 3)
(5, 1, 1, (0, 0, 0), -14): (0, 7)
(5, 1, 1, (0, 0, 0), -13): (0, 27)
(5, 1, 1, (0, 0, 0), -12): (1, 44)
(5, 1, 1, (0, 0, 0), -11): (0, 72)
(5, 1, 1, (0, 0, 0), -10): (0, 125)
(5, 1, 1, (0, 0, 0), -9): (2, 248)
(5, 1, 1, (0, 0, 0), -8): (7, 442)
(5, 1, 1, (0, 0, 0), -7): (15, 768)
(5, 1, 1, (0, 0, 0), -6): (43, 1236)
(5, 1, 1, (0, 0, 0), -5): (133, 2067)
(5, 1, 1, (0, 0, 0), -4): (318, 3301)
(5, 1, 1, (0, 0, 0), -3): (823, 4823)
(5, 1, 1, (0, 0, 0), -2): (1847, 7056)
(5, 1, 1, (0, 0, 0), -1): (3577, 9398)
(5, 1, 1, (0, 0, 0), 0): (6473, 11553)
(5, 1, 1, (0, 0, 0), 1): (6735, 9358)
(5, 1, 1, (0, 0, 0), 2): (5470, 6602)
(5, 1, 1, (0, 0, 0), 3): (4006, 4480)
(5, 1, 1, (0, 0, 0), 4): (2786, 2961)
(5, 1, 1, (0, 0, 0), 5): (1832, 1901)
(5, 1, 1, (0, 0, 0), 6): (1049, 1070)
(5, 1, 1, (0, 0, 0), 7): (691, 697)
(5, 1, 1, (0, 0, 0), 8): (396, 399)
(5, 1, 1, (0, 0, 0), 9): (229, 230)
(5, 1, 1, (0, 0, 0), 10): (126, 126)
(5, 1, 1, (0, 0, 0), 11): (59, 59)
(5, 1, 1, (0, 0, 0), 12): (35, 35)
(5, 1, 1, (0, 0, 0), 13): (18, 18)
(5, 1, 1, (0, 0, 0), 14): (13, 13)
(5, 1, 1, (0, 0, 0), 15): (4, 4)
(5, 1, 1, (0, 0, 0), 16): (3, 3)
(5, 1, 1, (0, 0, 0), 17): (1, 1)
(5, 1, 1, (0, 0, 1), -14): (0, 1)
(5, 1, 1, (0, 0, 1), -13): (0, 1)
(5, 1, 1, (0, 0, 1), -11): (0, 4)
(5, 1, 1, (0, 0, 1), -10): (0, 3)
(5, 1, 1, (0, 0, 1), -9): (0, 10)
(5, 1, 1, (0, 0, 1), -8): (0, 17)
(5, 1, 1, (0, 0, 1), -7): (2, 25)
(5, 1, 1, (0, 0, 1), -6): (1, 46)
(5, 1, 1, (0, 0, 1), -5): (5, 77)
(5, 1, 1, (0, 0, 1), -4): (27, 134)
(5, 1, 1, (0, 0, 1), -3): (52, 231)
(5, 1, 1, (0, 0, 1), -2): (116, 354)
(5, 1, 1, (0, 0, 1), -1): (283, 562)
(5, 1, 1, (0, 0, 1), 0): (528, 800)
(5, 1, 1, (0, 0, 1), 1): (552, 709)
(5, 1, 1, (0, 0, 1), 2): (460, 540)
(5, 1, 1, (0, 0, 1), 3): (420, 450)
(5, 1, 1, (0, 0, 1), 4): (255, 266)
(5, 1, 1, (0, 0, 1), 5): (173, 178)
(5, 1, 1, (0, 0, 1), 6): (106, 107)
(5, 1, 1, (0, 0, 1), 7): (54, 54)
(5, 1, 1, (0, 0, 1), 8): (47, 47)
(5, 1, 1, (0, 0, 1), 9): (17, 17)
(5, 1, 1, (0, 0, 1), 10): (9, 9)
(5, 1, 1, (0, 0, 1), 11): (7, 7)
(5, 1, 1, (0, 0, 1), 12): (3, 3)
(5, 1, 1, (0, 0, 1), 13): (1, 1)
(5, 1, 1, (0, 1, 0), -14): (0, 2)
(5, 1, 1, (0, 1, 0), -13): (0, 1)
(5, 1, 1, (0, 1, 0), -12): (0, 9)
(5, 1, 1, (0, 1, 0), -11): (0, 15)
(5, 1, 1, (0, 1, 0), -10): (0, 17)
(5, 1, 1, (0, 1, 0), -9): (1, 32)
(5, 1, 1, (0, 1, 0), -8): (2, 67)
(5, 1, 1, (0, 1, 0), -7): (5, 102)
(5, 1, 1, (0, 1, 0), -6): (12, 181)
(5, 1, 1, (0, 1, 0), -5): (28, 294)
(5, 1, 1, (0, 1, 0), -4): (58, 461)
(5, 1, 1, (0, 1, 0), -3): (145, 729)
(5, 1, 1, (0, 1, 0), -2): (388, 1120)
(5, 1, 1, (0, 1, 0), -1): (785, 1724)
(5, 1, 1, (0, 1, 0), 0): (1409, 2293)
(5, 1, 1, (0, 1, 0), 1): (1536, 2069)
(5, 1, 1, (0, 1, 0), 2): (1349, 1550)
(5, 1, 1, (0, 1, 0), 3): (1027, 1123)
(5, 1, 1, (0, 1, 0), 4): (674, 710)
(5, 1, 1, (0, 1, 0), 5): (427, 439)
(5, 1, 1, (0, 1, 0), 6): (264, 269)
(5, 1, 1, (0, 1, 0), 7): (148, 150)
(5, 1, 1, (0, 1, 0), 8): (102, 102)
(5, 1, 1, (0, 1, 0), 9): (49, 49)
(5, 1, 1, (0, 1, 0), 10): (21, 21)
(5, 1, 1, (0, 1, 0), 11): (16, 16)
(5, 1, 1, (0, 1, 0), 12): (8, 8)
(5, 1, 1, (0, 1, 0), 13): (3, 3)
(5, 1, 1, (0, 1, 0), 14): (2, 2)
(5, 1, 1, (0, 1, 0), 15): (1, 1)
(5, 1, 1, (0, 1, 1), -13): (0, 2)
(5, 1, 1, (0, 1, 1), -12): (0, 4)
(5, 1, 1, (0, 1, 1), -11): (0, 3)
(5, 1, 1, (0, 1, 1), -10): (0, 2)
(5, 1, 1, (0, 1, 1), -9): (0, 11)
(5, 1, 1, (0, 1, 1), -8): (0, 13)
(5, 1, 1, (0, 1, 1), -7): (1, 22)
(5, 1, 1, (0, 1, 1), -6): (4, 46)
(5, 1, 1, (0, 1, 1), -5): (8, 81)
(5, 1, 1, (0, 1, 1), -4): (24, 109)
(5, 1, 1, (0, 1, 1), -3): (48, 163)
(5, 1, 1, (0, 1, 1), -2): (153, 373)
(5, 1, 1, (0, 1, 1), -1): (223, 401)
(5, 1, 1, (0, 1, 1), 0): (400, 561)
(5, 1, 1, (0, 1, 1), 1): (422, 502)
(5, 1, 1, (0, 1, 1), 2): (363, 411)
(5, 1, 1, (0, 1, 1), 3): (335, 356)
(5, 1, 1, (0, 1, 1), 4): (230, 241)
(5, 1, 1, (0, 1, 1), 5): (166, 169)
(5, 1, 1, (0, 1, 1), 6): (95, 95)
(5, 1, 1, (0, 1, 1), 7): (60, 60)
(5, 1, 1, (0, 1, 1), 8): (33, 33)
(5, 1, 1, (0, 1, 1), 9): (24, 24)
(5, 1, 1, (0, 1, 1), 10): (16, 17)
(5, 1, 1, (0, 1, 1), 11): (9, 9)
(5, 1, 1, (0, 1, 1), 12): (2, 2)
(5, 1, 1, (0, 1, 1), 13): (1, 1)
(5, 1, 1, (0, 1, 1), 14): (1, 1)
(5, 1, 1, (1, 0, 0), -19): (0, 1)
(5, 1, 1, (1, 0, 0), -18): (0, 1)
(5, 1, 1, (1, 0, 0), -16): (0, 2)
(5, 1, 1, (1, 0, 0), -15): (0, 4)
(5, 1, 1, (1, 0, 0), -14): (0, 2)
(5, 1, 1, (1, 0, 0), -13): (0, 17)
(5, 1, 1, (1, 0, 0), -12): (0, 19)
(5, 1, 1, (1, 0, 0), -11): (0, 25)
(5, 1, 1, (1, 0, 0), -10): (0, 57)
(5, 1, 1, (1, 0, 0), -9): (0, 99)
(5, 1, 1, (1, 0, 0), -8): (3, 203)
(5, 1, 1, (1, 0, 0), -7): (11, 326)
(5, 1, 1, (1, 0, 0), -6): (23, 538)
(5, 1, 1, (1, 0, 0), -5): (79, 857)
(5, 1, 1, (1, 0, 0), -4): (173, 1350)
(5, 1, 1, (1, 0, 0), -3): (383, 1909)
(5, 1, 1, (1, 0, 0), -2): (856, 2896)
(5, 1, 1, (1, 0, 0), -1): (1569, 3704)
(5, 1, 1, (1, 0, 0), 0): (2669, 4541)
(5, 1, 1, (1, 0, 0), 1): (2833, 3780)
(5, 1, 1, (1, 0, 0), 2): (2352, 2808)
(5, 1, 1, (1, 0, 0), 3): (1791, 1970)
(5, 1, 1, (1, 0, 0), 4): (1245, 1318)
(5, 1, 1, (1, 0, 0), 5): (817, 835)
(5, 1, 1, (1, 0, 0), 6): (504, 513)
(5, 1, 1, (1, 0, 0), 7): (318, 321)
(5, 1, 1, (1, 0, 0), 8): (195, 196)
(5, 1, 1, (1, 0, 0), 9): (124, 126)
(5, 1, 1, (1, 0, 0), 10): (62, 62)
(5, 1, 1, (1, 0, 0), 11): (24, 24)
(5, 1, 1, (1, 0, 0), 12): (14, 14)
(5, 1, 1, (1, 0, 0), 13): (3, 3)
(5, 1, 1, (1, 0, 0), 14): (3, 3)
(5, 1, 1, (1, 0, 0), 15): (4, 4)
(5, 1, 1, (1, 0, 1), -13): (0, 1)
(5, 1, 1, (1, 0, 1), -11): (0, 6)
(5, 1, 1, (1, 0, 1), -10): (0, 7)
(5, 1, 1, (1, 0, 1), -9): (0, 12)
(5, 1, 1, (1, 0, 1), -8): (1, 30)
(5, 1, 1, (1, 0, 1), -7): (5, 56)
(5, 1, 1, (1, 0, 1), -6): (3, 63)
(5, 1, 1, (1, 0, 1), -5): (16, 131)
(5, 1, 1, (1, 0, 1), -4): (28, 186)
(5, 1, 1, (1, 0, 1), -3): (82, 292)
(5, 1, 1, (1, 0, 1), -2): (142, 397)
(5, 1, 1, (1, 0, 1), -1): (287, 578)
(5, 1, 1, (1, 0, 1), 0): (506, 759)
(5, 1, 1, (1, 0, 1), 1): (561, 686)
(5, 1, 1, (1, 0, 1), 2): (520, 587)
(5, 1, 1, (1, 0, 1), 3): (429, 459)
(5, 1, 1, (1, 0, 1), 4): (264, 279)
(5, 1, 1, (1, 0, 1), 5): (191, 193)
(5, 1, 1, (1, 0, 1), 6): (119, 123)
(5, 1, 1, (1, 0, 1), 7): (85, 86)
(5, 1, 1, (1, 0, 1), 8): (46, 46)
(5, 1, 1, (1, 0, 1), 9): (31, 31)
(5, 1, 1, (1, 0, 1), 10): (21, 21)
(5, 1, 1, (1, 0, 1), 11): (10, 10)
(5, 1, 1, (1, 0, 1), 12): (4, 4)
(5, 1, 1, (1, 0, 1), 13): (2, 2)
(5, 1, 1, (1, 1, 0), -15): (0, 1)
(5, 1, 1, (1, 1, 0), -13): (0, 3)
(5, 1, 1, (1, 1, 0), -12): (0, 7)
(5, 1, 1, (1, 1, 0), -11): (0, 10)
(5, 1, 1, (1, 1, 0), -10): (0, 19)
(5, 1, 1, (1, 1, 0), -9): (0, 35)
(5, 1, 1, (1, 1, 0), -8): (2, 65)
(5, 1, 1, (1, 1, 0), -7): (5, 126)
(5, 1, 1, (1, 1, 0), -6): (10, 195)
(5, 1, 1, (1, 1, 0), -5): (36, 294)
(5, 1, 1, (1, 1, 0), -4): (81, 433)
(5, 1, 1, (1, 1, 0), -3): (159, 649)
(5, 1, 1, (1, 1, 0), -2): (344, 931)
(5, 1, 1, (1, 1, 0), -1): (617, 1154)
(5, 1, 1, (1, 1, 0), 0): (928, 1440)
(5, 1, 1, (1, 1, 0), 1): (1065, 1366)
(5, 1, 1, (1, 1, 0), 2): (962, 1096)
(5, 1, 1, (1, 1, 0), 3): (712, 782)
(5, 1, 1, (1, 1, 0), 4): (536, 558)
(5, 1, 1, (1, 1, 0), 5): (332, 339)
(5, 1, 1, (1, 1, 0), 6): (227, 232)
(5, 1, 1, (1, 1, 0), 7): (128, 129)
(5, 1, 1, (1, 1, 0), 8): (100, 101)
(5, 1, 1, (1, 1, 0), 9): (47, 48)
(5, 1, 1, (1, 1, 0), 10): (19, 19)
(5, 1, 1, (1, 1, 0), 11): (18, 18)
(5, 1, 1, (1, 1, 0), 12): (11, 11)
(5, 1, 1, (1, 1, 0), 13): (7, 7)
(5, 1, 1, (1, 1, 0), 14): (3, 3)
(5, 1, 1, (1, 1, 0), 15): (1, 1)
(5, 1, 1, (1, 1, 1), -12): (0, 2)
(5, 1, 1, (1, 1, 1), -11): (0, 3)
(5, 1, 1, (1, 1, 1), -10): (0, 2)
(5, 1, 1, (1, 1, 1), -9): (0, 6)
(5, 1, 1, (1, 1, 1), -8): (0, 7)
(5, 1, 1, (1, 1, 1), -7): (1, 27)
(5, 1, 1, (1, 1, 1), -6): (6, 44)
(5, 1, 1, (1, 1, 1), -5): (13, 76)
(5, 1, 1, (1, 1, 1), -4): (24, 111)
(5, 1, 1, (1, 1, 1), -3): (63, 176)
(5, 1, 1, (1, 1, 1), -2): (116, 273)
(5, 1, 1, (1, 1, 1), -1): (206, 352)
(5, 1, 1, (1, 1, 1), 0): (370, 514)
(5, 1, 1, (1, 1, 1), 1): (464, 559)
(5, 1, 1, (1, 1, 1), 2): (428, 479)
(5, 1, 1, (1, 1, 1), 3): (353, 381)
(5, 1, 1, (1, 1, 1), 4): (254, 267)
(5, 1, 1, (1, 1, 1), 5): (161, 162)
(5, 1, 1, (1, 1, 1), 6): (92, 92)
(5, 1, 1, (1, 1, 1), 7): (56, 56)
(5, 1, 1, (1, 1, 1), 8): (32, 32)
(5, 1, 1, (1, 1, 1), 9): (23, 23)
(5, 1, 1, (1, 1, 1), 10): (13, 13)
(5, 1, 1, (1, 1, 1), 11): (4, 4)
(5, 1, 1, (1, 1, 1), 12): (6, 6)
(5, 1, 1, (1, 1, 1), 13): (1, 1)
(5, 1, 1, (1, 1, 1), 14): (2, 2)
(5, 1, 1, (1, 1, 1), 15): (1, 1)
(5, 1, 1, (1, 1, 1), 16): (1, 1)
(5, 1, 2, (0, 0, 0), -17): (0, 2)
(5, 1, 2, (0, 0, 0), -16): (0, 4)
(5, 1, 2, (0, 0, 0), -15): (0, 3)
(5, 1, 2, (0, 0, 0), -14): (0, 6)
(5, 1, 2, (0, 0, 0), -13): (0, 20)
(5, 1, 2, (0, 0, 0), -12): (1, 33)
(5, 1, 2, (0, 0, 0), -11): (0, 51)
(5, 1, 2, (0, 0, 0), -10): (0, 90)
(5, 1, 2, (0, 0, 0), -9): (2, 183)
(5, 1, 2, (0, 0, 0), -8): (4, 320)
(5, 1, 2, (0, 0, 0), -7): (10, 572)
(5, 1, 2, (0, 0, 0), -6): (30, 942)
(5, 1, 2, (0, 0, 0), -5): (77, 1581)
(5, 1, 2, (0, 0, 0), -4): (201, 2494)
(5, 1, 2, (0, 0, 0), -3): (562, 3707)
(5, 1, 2, (0, 0, 0), -2): (1283, 5387)
(5, 1, 2, (0, 0, 0), -1): (2607, 7337)
(5, 1, 2, (0, 0, 0), 0): (4872, 9022)
(5, 1, 2, (0, 0, 0), 1): (5273, 7499)
(5, 1, 2, (0, 0, 0), 2): (4420, 5394)
(5, 1, 2, (0, 0, 0), 3): (3358, 3766)
(5, 1, 2, (0, 0, 0), 4): (2390, 2539)
(5, 1, 2, (0, 0, 0), 5): (1654, 1730)
(5, 1, 2, (0, 0, 0), 6): (962, 981)
(5, 1, 2, (0, 0, 0), 7): (635, 639)
(5, 1, 2, (0, 0, 0), 8): (345, 348)
(5, 1, 2, (0, 0, 0), 9): (193, 193)
(5, 1, 2, (0, 0, 0), 10): (125, 125)
(5, 1, 2, (0, 0, 0), 11): (66, 66)
(5, 1, 2, (0, 0, 0), 12): (42, 42)
(5, 1, 2, (0, 0, 0), 13): (18, 18)
(5, 1, 2, (0, 0, 0), 14): (10, 10)
(5, 1, 2, (0, 0, 0), 15): (3, 3)
(5, 1, 2, (0, 0, 0), 16): (2, 2)
(5, 1, 2, (0, 0, 0), 17): (2, 2)
(5, 1, 2, (0, 0, 0), 18): (1, 1)
(5, 1, 2, (0, 0, 1), -13): (0, 2)
(5, 1, 2, (0, 0, 1), -12): (0, 4)
(5, 1, 2, (0, 0, 1), -11): (0, 8)
(5, 1, 2, (0, 0, 1), -10): (0, 10)
(5, 1, 2, (0, 0, 1), -9): (0, 15)
(5, 1, 2, (0, 0, 1), -8): (0, 27)
(5, 1, 2, (0, 0, 1), -7): (3, 52)
(5, 1, 2, (0, 0, 1), -6): (4, 90)
(5, 1, 2, (0, 0, 1), -5): (4, 120)
(5, 1, 2, (0, 0, 1), -4): (24, 242)
(5, 1, 2, (0, 0, 1), -3): (49, 345)
(5, 1, 2, (0, 0, 1), -2): (152, 507)
(5, 1, 2, (0, 0, 1), -1): (336, 806)
(5, 1, 2, (0, 0, 1), 0): (591, 1021)
(5, 1, 2, (0, 0, 1), 1): (714, 1005)
(5, 1, 2, (0, 0, 1), 2): (635, 774)
(5, 1, 2, (0, 0, 1), 3): (514, 566)
(5, 1, 2, (0, 0, 1), 4): (337, 361)
(5, 1, 2, (0, 0, 1), 5): (263, 276)
(5, 1, 2, (0, 0, 1), 6): (183, 185)
(5, 1, 2, (0, 0, 1), 7): (105, 105)
(5, 1, 2, (0, 0, 1), 8): (82, 82)
(5, 1, 2, (0, 0, 1), 9): (46, 46)
(5, 1, 2, (0, 0, 1), 10): (19, 19)
(5, 1, 2, (0, 0, 1), 11): (9, 9)
(5, 1, 2, (0, 0, 1), 12): (6, 6)
(5, 1, 2, (0, 0, 1), 13): (5, 5)
(5, 1, 2, (0, 0, 1), 16): (1, 1)
(5, 1, 2, (0, 1, 0), -14): (0, 1)
(5, 1, 2, (0, 1, 0), -13): (0, 2)
(5, 1, 2, (0, 1, 0), -12): (0, 7)
(5, 1, 2, (0, 1, 0), -11): (0, 17)
(5, 1, 2, (0, 1, 0), -10): (0, 24)
(5, 1, 2, (0, 1, 0), -9): (1, 33)
(5, 1, 2, (0, 1, 0), -8): (1, 68)
(5, 1, 2, (0, 1, 0), -7): (1, 104)
(5, 1, 2, (0, 1, 0), -6): (13, 185)
(5, 1, 2, (0, 1, 0), -5): (25, 341)
(5, 1, 2, (0, 1, 0), -4): (52, 548)
(5, 1, 2, (0, 1, 0), -3): (141, 880)
(5, 1, 2, (0, 1, 0), -2): (384, 1354)
(5, 1, 2, (0, 1, 0), -1): (847, 2089)
(5, 1, 2, (0, 1, 0), 0): (1589, 2785)
(5, 1, 2, (0, 1, 0), 1): (1773, 2432)
(5, 1, 2, (0, 1, 0), 2): (1603, 1898)
(5, 1, 2, (0, 1, 0), 3): (1206, 1351)
(5, 1, 2, (0, 1, 0), 4): (925, 982)
(5, 1, 2, (0, 1, 0), 5): (643, 660)
(5, 1, 2, (0, 1, 0), 6): (378, 383)
(5, 1, 2, (0, 1, 0), 7): (230, 233)
(5, 1, 2, (0, 1, 0), 8): (131, 132)
(5, 1, 2, (0, 1, 0), 9): (77, 77)
(5, 1, 2, (0, 1, 0), 10): (42, 42)
(5, 1, 2, (0, 1, 0), 11): (26, 26)
(5, 1, 2, (0, 1, 0), 12): (19, 19)
(5, 1, 2, (0, 1, 0), 13): (7, 7)
(5, 1, 2, (0, 1, 0), 14): (5, 5)
(5, 1, 2, (0, 1, 0), 15): (2, 2)
(5, 1, 2, (0, 1, 0), 16): (1, 1)
(5, 1, 2, (0, 1, 1), -12): (0, 2)
(5, 1, 2, (0, 1, 1), -11): (0, 4)
(5, 1, 2, (0, 1, 1), -10): (0, 4)
(5, 1, 2, (0, 1, 1), -9): (0, 7)
(5, 1, 2, (0, 1, 1), -8): (0, 17)
(5, 1, 2, (0, 1, 1), -7): (2, 28)
(5, 1, 2, (0, 1, 1), -6): (1, 43)
(5, 1, 2, (0, 1, 1), -5): (8, 94)
(5, 1, 2, (0, 1, 1), -4): (18, 129)
(5, 1, 2, (0, 1, 1), -3): (35, 180)
(5, 1, 2, (0, 1, 1), -2): (96, 303)
(5, 1, 2, (0, 1, 1), -1): (183, 379)
(5, 1, 2, (0, 1, 1), 0): (378, 603)
(5, 1, 2, (0, 1, 1), 1): (382, 503)
(5, 1, 2, (0, 1, 1), 2): (367, 431)
(5, 1, 2, (0, 1, 1), 3): (333, 361)
(5, 1, 2, (0, 1, 1), 4): (240, 253)
(5, 1, 2, (0, 1, 1), 5): (178, 180)
(5, 1, 2, (0, 1, 1), 6): (106, 107)
(5, 1, 2, (0, 1, 1), 7): (70, 70)
(5, 1, 2, (0, 1, 1), 8): (41, 41)
(5, 1, 2, (0, 1, 1), 9): (26, 26)
(5, 1, 2, (0, 1, 1), 10): (21, 22)
(5, 1, 2, (0, 1, 1), 11): (13, 13)
(5, 1, 2, (0, 1, 1), 12): (3, 3)
(5, 1, 2, (0, 1, 1), 13): (3, 3)
(5, 1, 2, (0, 1, 1), 15): (1, 1)
(5, 1, 2, (0, 1, 1), 16): (1, 1)
(5, 1, 2, (0, 1, 1), 18): (1, 1)
(5, 1, 2, (1, 0, 0), -18): (0, 1)
(5, 1, 2, (1, 0, 0), -16): (0, 2)
(5, 1, 2, (1, 0, 0), -15): (0, 2)
(5, 1, 2, (1, 0, 0), -14): (0, 1)
(5, 1, 2, (1, 0, 0), -13): (0, 15)
(5, 1, 2, (1, 0, 0), -12): (0, 20)
(5, 1, 2, (1, 0, 0), -11): (0, 30)
(5, 1, 2, (1, 0, 0), -10): (0, 53)
(5, 1, 2, (1, 0, 0), -9): (0, 101)
(5, 1, 2, (1, 0, 0), -8): (3, 187)
(5, 1, 2, (1, 0, 0), -7): (7, 327)
(5, 1, 2, (1, 0, 0), -6): (18, 533)
(5, 1, 2, (1, 0, 0), -5): (47, 847)
(5, 1, 2, (1, 0, 0), -4): (130, 1301)
(5, 1, 2, (1, 0, 0), -3): (329, 1951)
(5, 1, 2, (1, 0, 0), -2): (709, 2745)
(5, 1, 2, (1, 0, 0), -1): (1365, 3581)
(5, 1, 2, (1, 0, 0), 0): (2412, 4301)
(5, 1, 2, (1, 0, 0), 1): (2745, 3810)
(5, 1, 2, (1, 0, 0), 2): (2396, 2908)
(5, 1, 2, (1, 0, 0), 3): (1931, 2109)
(5, 1, 2, (1, 0, 0), 4): (1403, 1494)
(5, 1, 2, (1, 0, 0), 5): (939, 979)
(5, 1, 2, (1, 0, 0), 6): (570, 582)
(5, 1, 2, (1, 0, 0), 7): (403, 410)
(5, 1, 2, (1, 0, 0), 8): (257, 258)
(5, 1, 2, (1, 0, 0), 9): (155, 156)
(5, 1, 2, (1, 0, 0), 10): (88, 88)
(5, 1, 2, (1, 0, 0), 11): (47, 47)
(5, 1, 2, (1, 0, 0), 12): (25, 25)
(5, 1, 2, (1, 0, 0), 13): (9, 9)
(5, 1, 2, (1, 0, 0), 14): (6, 6)
(5, 1, 2, (1, 0, 0), 15): (3, 3)
(5, 1, 2, (1, 0, 0), 16): (1, 1)
(5, 1, 2, (1, 0, 0), 17): (4, 4)
(5, 1, 2, (1, 0, 0), 18): (1, 1)
(5, 1, 2, (1, 0, 0), 20): (1, 1)
(5, 1, 2, (1, 0, 1), -13): (0, 3)
(5, 1, 2, (1, 0, 1), -12): (0, 3)
(5, 1, 2, (1, 0, 1), -11): (0, 4)
(5, 1, 2, (1, 0, 1), -10): (0, 15)
(5, 1, 2, (1, 0, 1), -9): (0, 20)
(5, 1, 2, (1, 0, 1), -8): (1, 39)
(5, 1, 2, (1, 0, 1), -7): (0, 50)
(5, 1, 2, (1, 0, 1), -6): (3, 93)
(5, 1, 2, (1, 0, 1), -5): (8, 154)
(5, 1, 2, (1, 0, 1), -4): (25, 219)
(5, 1, 2, (1, 0, 1), -3): (80, 359)
(5, 1, 2, (1, 0, 1), -2): (144, 478)
(5, 1, 2, (1, 0, 1), -1): (300, 712)
(5, 1, 2, (1, 0, 1), 0): (528, 920)
(5, 1, 2, (1, 0, 1), 1): (661, 936)
(5, 1, 2, (1, 0, 1), 2): (657, 787)
(5, 1, 2, (1, 0, 1), 3): (584, 638)
(5, 1, 2, (1, 0, 1), 4): (397, 418)
(5, 1, 2, (1, 0, 1), 5): (265, 274)
(5, 1, 2, (1, 0, 1), 6): (169, 171)
(5, 1, 2, (1, 0, 1), 7): (129, 129)
(5, 1, 2, (1, 0, 1), 8): (79, 80)
(5, 1, 2, (1, 0, 1), 9): (40, 40)
(5, 1, 2, (1, 0, 1), 10): (25, 25)
(5, 1, 2, (1, 0, 1), 11): (22, 22)
(5, 1, 2, (1, 0, 1), 12): (12, 12)
(5, 1, 2, (1, 0, 1), 13): (1, 1)
(5, 1, 2, (1, 0, 1), 14): (3, 3)
(5, 1, 2, (1, 0, 1), 17): (1, 1)
(5, 1, 2, (1, 0, 1), 18): (1, 1)
(5, 1, 2, (1, 1, 0), -18): (0, 1)
(5, 1, 2, (1, 1, 0), -15): (0, 1)
(5, 1, 2, (1, 1, 0), -13): (0, 4)
(5, 1, 2, (1, 1, 0), -12): (0, 12)
(5, 1, 2, (1, 1, 0), -11): (0, 14)
(5, 1, 2, (1, 1, 0), -10): (0, 15)
(5, 1, 2, (1, 1, 0), -9): (0, 34)
(5, 1, 2, (1, 1, 0), -8): (1, 64)
(5, 1, 2, (1, 1, 0), -7): (6, 124)
(5, 1, 2, (1, 1, 0), -6): (10, 214)
(5, 1, 2, (1, 1, 0), -5): (28, 333)
(5, 1, 2, (1, 1, 0), -4): (61, 476)
(5, 1, 2, (1, 1, 0), -3): (134, 742)
(5, 1, 2, (1, 1, 0), -2): (319, 1053)
(5, 1, 2, (1, 1, 0), -1): (656, 1462)
(5, 1, 2, (1, 1, 0), 0): (1103, 1921)
(5, 1, 2, (1, 1, 0), 1): (1339, 1797)
(5, 1, 2, (1, 1, 0), 2): (1234, 1467)
(5, 1, 2, (1, 1, 0), 3): (1012, 1128)
(5, 1, 2, (1, 1, 0), 4): (805, 840)
(5, 1, 2, (1, 1, 0), 5): (503, 525)
(5, 1, 2, (1, 1, 0), 6): (356, 362)
(5, 1, 2, (1, 1, 0), 7): (197, 199)
(5, 1, 2, (1, 1, 0), 8): (130, 131)
(5, 1, 2, (1, 1, 0), 9): (90, 90)
(5, 1, 2, (1, 1, 0), 10): (55, 55)
(5, 1, 2, (1, 1, 0), 11): (33, 33)
(5, 1, 2, (1, 1, 0), 12): (17, 17)
(5, 1, 2, (1, 1, 0), 13): (15, 15)
(5, 1, 2, (1, 1, 0), 14): (6, 6)
(5, 1, 2, (1, 1, 0), 15): (2, 2)
(5, 1, 2, (1, 1, 0), 17): (1, 1)
(5, 1, 2, (1, 1, 0), 18): (1, 1)
(5, 1, 2, (1, 1, 0), 19): (1, 1)
(5, 1, 2, (1, 1, 0), 20): (2, 2)
(5, 1, 2, (1, 1, 1), -13): (0, 1)
(5, 1, 2, (1, 1, 1), -12): (0, 2)
(5, 1, 2, (1, 1, 1), -11): (0, 3)
(5, 1, 2, (1, 1, 1), -10): (0, 6)
(5, 1, 2, (1, 1, 1), -9): (0, 11)
(5, 1, 2, (1, 1, 1), -8): (0, 14)
(5, 1, 2, (1, 1, 1), -7): (1, 29)
(5, 1, 2, (1, 1, 1), -6): (5, 57)
(5, 1, 2, (1, 1, 1), -5): (6, 80)
(5, 1, 2, (1, 1, 1), -4): (16, 116)
(5, 1, 2, (1, 1, 1), -3): (49, 193)
(5, 1, 2, (1, 1, 1), -2): (103, 288)
(5, 1, 2, (1, 1, 1), -1): (231, 442)
(5, 1, 2, (1, 1, 1), 0): (403, 637)
(5, 1, 2, (1, 1, 1), 1): (513, 675)
(5, 1, 2, (1, 1, 1), 2): (515, 582)
(5, 1, 2, (1, 1, 1), 3): (426, 478)
(5, 1, 2, (1, 1, 1), 4): (308, 326)
(5, 1, 2, (1, 1, 1), 5): (196, 201)
(5, 1, 2, (1, 1, 1), 6): (127, 129)
(5, 1, 2, (1, 1, 1), 7): (90, 90)
(5, 1, 2, (1, 1, 1), 8): (53, 53)
(5, 1, 2, (1, 1, 1), 9): (33, 33)
(5, 1, 2, (1, 1, 1), 10): (18, 19)
(5, 1, 2, (1, 1, 1), 11): (11, 11)
(5, 1, 2, (1, 1, 1), 12): (3, 3)
(5, 1, 2, (1, 1, 1), 13): (2, 2)
(5, 1, 2, (1, 1, 1), 14): (4, 4)
(5, 1, 2, (1, 1, 1), 15): (2, 2)
(5, 1, 2, (1, 1, 1), 20): (1, 1)
(6, 0, 0, (0, 0, 0), -20): (0, 2)
(6, 0, 0, (0, 0, 0), -18): (0, 1)
(6, 0, 0, (0, 0, 0), -17): (0, 4)
(6, 0, 0, (0, 0, 0), -16): (0, 3)
(6, 0, 0, (0, 0, 0), -15): (0, 10)
(6, 0, 0, (0, 0, 0), -14): (0, 20)
(6, 0, 0, (0, 0, 0), -13): (0, 39)
(6, 0, 0, (0, 0, 0), -12): (0, 89)
(6, 0, 0, (0, 0, 0), -11): (0, 154)
(6, 0, 0, (0, 0, 0), -10): (1, 276)
(6, 0, 0, (0, 0, 0), -9): (3, 466)
(6, 0, 0, (0, 0, 0), -8): (4, 793)
(6, 0, 0, (0, 0, 0), -7): (13, 1335)
(6, 0, 0, (0, 0, 0), -6): (43, 2071)
(6, 0, 0, (0, 0, 0), -5): (142, 3408)
(6, 0, 0, (0, 0, 0), -4): (319, 5007)
(6, 0, 0, (0, 0, 0), -3): (783, 7081)
(6, 0, 0, (0, 0, 0), -2): (1862, 9801)
(6, 0, 0, (0, 0, 0), -1): (4031, 12945)
(6, 0, 0, (0, 0, 0), 0): (7151, 14920)
(6, 0, 0, (0, 0, 0), 1): (8075, 12243)
(6, 0, 0, (0, 0, 0), 2): (7086, 9164)
(6, 0, 0, (0, 0, 0), 3): (5435, 6326)
(6, 0, 0, (0, 0, 0), 4): (3884, 4214)
(6, 0, 0, (0, 0, 0), 5): (2589, 2723)
(6, 0, 0, (0, 0, 0), 6): (1570, 1609)
(6, 0, 0, (0, 0, 0), 7): (940, 960)
(6, 0, 0, (0, 0, 0), 8): (552, 556)
(6, 0, 0, (0, 0, 0), 9): (313, 315)
(6, 0, 0, (0, 0, 0), 10): (161, 161)
(6, 0, 0, (0, 0, 0), 11): (93, 93)
(6, 0, 0, (0, 0, 0), 12): (54, 55)
(6, 0, 0, (0, 0, 0), 13): (40, 40)
(6, 0, 0, (0, 0, 0), 14): (12, 12)
(6, 0, 0, (0, 0, 0), 15): (8, 8)
(6, 0, 0, (0, 0, 0), 16): (6, 6)
(6, 0, 0, (0, 0, 0), 17): (2, 2)
(6, 0, 0, (0, 0, 0), 18): (2, 2)
(6, 0, 0, (0, 0, 0), 19): (2, 2)
(6, 0, 0, (0, 0, 1), -13): (0, 1)
(6, 0, 0, (0, 0, 1), -11): (0, 1)
(6, 0, 0, (0, 0, 1), -10): (0, 3)
(6, 0, 0, (0, 0, 1), -9): (0, 3)
(6, 0, 0, (0, 0, 1), -8): (0, 8)
(6, 0, 0, (0, 0, 1), -7): (0, 13)
(6, 0, 0, (0, 0, 1), -6): (1, 23)
(6, 0, 0, (0, 0, 1), -5): (4, 30)
(6, 0, 0, (0, 0, 1), -4): (5, 54)
(6, 0, 0, (0, 0, 1), -3): (10, 67)
(6, 0, 0, (0, 0, 1), -2): (33, 109)
(6, 0, 0, (0, 0, 1), -1): (63, 137)
(6, 0, 0, (0, 0, 1), 0): (127, 198)
(6, 0, 0, (0, 0, 1), 1): (136, 171)
(6, 0, 0, (0, 0, 1), 2): (116, 149)
(6, 0, 0, (0, 0, 1), 3): (97, 105)
(6, 0, 0, (0, 0, 1), 4): (67, 70)
(6, 0, 0, (0, 0, 1), 5): (39, 39)
(6, 0, 0, (0, 0, 1), 6): (25, 25)
(6, 0, 0, (0, 0, 1), 7): (14, 14)
(6, 0, 0, (0, 0, 1), 8): (9, 9)
(6, 0, 0, (0, 0, 1), 9): (2, 2)
(6, 0, 0, (0, 0, 1), 10): (5, 5)
(6, 0, 0, (0, 0, 1), 11): (1, 1)
(6, 0, 0, (0, 1, 0), -14): (0, 1)
(6, 0, 0, (0, 1, 0), -12): (0, 8)
(6, 0, 0, (0, 1, 0), -11): (0, 8)
(6, 0, 0, (0, 1, 0), -10): (0, 20)
(6, 0, 0, (0, 1, 0), -9): (1, 20)
(6, 0, 0, (0, 1, 0), -8): (0, 55)
(6, 0, 0, (0, 1, 0), -7): (0, 93)
(6, 0, 0, (0, 1, 0), -6): (5, 118)
(6, 0, 0, (0, 1, 0), -5): (13, 215)
(6, 0, 0, (0, 1, 0), -4): (37, 318)
(6, 0, 0, (0, 1, 0), -3): (74, 441)
(6, 0, 0, (0, 1, 0), -2): (172, 598)
(6, 0, 0, (0, 1, 0), -1): (352, 845)
(6, 0, 0, (0, 1, 0), 0): (581, 1017)
(6, 0, 0, (0, 1, 0), 1): (700, 956)
(6, 0, 0, (0, 1, 0), 2): (583, 717)
(6, 0, 0, (0, 1, 0), 3): (455, 516)
(6, 0, 0, (0, 1, 0), 4): (301, 322)
(6, 0, 0, (0, 1, 0), 5): (214, 230)
(6, 0, 0, (0, 1, 0), 6): (126, 130)
(6, 0, 0, (0, 1, 0), 7): (62, 62)
(6, 0, 0, (0, 1, 0), 8): (38, 38)
(6, 0, 0, (0, 1, 0), 9): (30, 30)
(6, 0, 0, (0, 1, 0), 10): (9, 9)
(6, 0, 0, (0, 1, 0), 11): (12, 12)
(6, 0, 0, (0, 1, 0), 12): (3, 3)
(6, 0, 0, (0, 1, 0), 13): (3, 3)
(6, 0, 0, (0, 1, 0), 14): (2, 2)
(6, 0, 0, (0, 1, 0), 15): (1, 1)
(6, 0, 0, (0, 1, 0), 18): (1, 1)
(6, 0, 0, (0, 1, 0), 19): (1, 1)
(6, 0, 0, (0, 1, 1), -16): (0, 1)
(6, 0, 0, (0, 1, 1), -13): (0, 1)
(6, 0, 0, (0, 1, 1), -12): (0, 1)
(6, 0, 0, (0, 1, 1), -11): (0, 1)
(6, 0, 0, (0, 1, 1), -10): (0, 5)
(6, 0, 0, (0, 1, 1), -9): (0, 6)
(6, 0, 0, (0, 1, 1), -8): (0, 7)
(6, 0, 0, (0, 1, 1), -7): (0, 21)
(6, 0, 0, (0, 1, 1), -6): (0, 26)
(6, 0, 0, (0, 1, 1), -5): (5, 52)
(6, 0, 0, (0, 1, 1), -4): (7, 62)
(6, 0, 0, (0, 1, 1), -3): (21, 106)
(6, 0, 0, (0, 1, 1), -2): (55, 134)
(6, 0, 0, (0, 1, 1), -1): (100, 178)
(6, 0, 0, (0, 1, 1), 0): (148, 212)
(6, 0, 0, (0, 1, 1), 1): (126, 161)
(6, 0, 0, (0, 1, 1), 2): (144, 163)
(6, 0, 0, (0, 1, 1), 3): (85, 91)
(6, 0, 0, (0, 1, 1), 4): (62, 63)
(6, 0, 0, (0, 1, 1), 5): (45, 47)
(6, 0, 0, (0, 1, 1), 6): (28, 28)
(6, 0, 0, (0, 1, 1), 7): (15, 15)
(6, 0, 0, (0, 1, 1), 8): (10, 10)
(6, 0, 0, (0, 1, 1), 9): (12, 12)
(6, 0, 0, (0, 1, 1), 10): (2, 2)
(6, 0, 0, (0, 1, 1), 11): (2, 2)
(6, 0, 0, (0, 1, 1), 12): (2, 2)
(6, 0, 0, (0, 1, 1), 16): (1, 1)
(6, 0, 0, (1, 0, 0), -18): (0, 1)
(6, 0, 0, (1, 0, 0), -17): (0, 1)
(6, 0, 0, (1, 0, 0), -16): (0, 1)
(6, 0, 0, (1, 0, 0), -15): (0, 4)
(6, 0, 0, (1, 0, 0), -14): (0, 4)
(6, 0, 0, (1, 0, 0), -13): (0, 15)
(6, 0, 0, (1, 0, 0), -12): (0, 25)
(6, 0, 0, (1, 0, 0), -11): (0, 42)
(6, 0, 0, (1, 0, 0), -10): (0, 76)
(6, 0, 0, (1, 0, 0), -9): (0, 108)
(6, 0, 0, (1, 0, 0), -8): (2, 189)
(6, 0, 0, (1, 0, 0), -7): (5, 340)
(6, 0, 0, (1, 0, 0), -6): (16, 498)
(6, 0, 0, (1, 0, 0), -5): (44, 872)
(6, 0, 0, (1, 0, 0), -4): (100, 1298)
(6, 0, 0, (1, 0, 0), -3): (255, 1755)
(6, 0, 0, (1, 0, 0), -2): (608, 2508)
(6, 0, 0, (1, 0, 0), -1): (1206, 3319)
(6, 0, 0, (1, 0, 0), 0): (1955, 3727)
(6, 0, 0, (1, 0, 0), 1): (2199, 3118)
(6, 0, 0, (1, 0, 0), 2): (1886, 2379)
(6, 0, 0, (1, 0, 0), 3): (1426, 1640)
(6, 0, 0, (1, 0, 0), 4): (978, 1050)
(6, 0, 0, (1, 0, 0), 5): (663, 696)
(6, 0, 0, (1, 0, 0), 6): (434, 445)
(6, 0, 0, (1, 0, 0), 7): (254, 261)
(6, 0, 0, (1, 0, 0), 8): (148, 148)
(6, 0, 0, (1, 0, 0), 9): (77, 77)
(6, 0, 0, (1, 0, 0), 10): (36, 36)
(6, 0, 0, (1, 0, 0), 11): (27, 27)
(6, 0, 0, (1, 0, 0), 12): (19, 19)
(6, 0, 0, (1, 0, 0), 13): (7, 7)
(6, 0, 0, (1, 0, 0), 14): (1, 1)
(6, 0, 0, (1, 0, 0), 15): (5, 5)
(6, 0, 0, (1, 0, 0), 16): (3, 3)
(6, 0, 0, (1, 0, 0), 17): (1, 1)
(6, 0, 0, (1, 0, 0), 18): (1, 1)
(6, 0, 0, (1, 0, 0), 19): (1, 1)
(6, 0, 0, (1, 0, 1), -10): (0, 5)
(6, 0, 0, (1, 0, 1), -9): (0, 3)
(6, 0, 0, (1, 0, 1), -8): (0, 14)
(6, 0, 0, (1, 0, 1), -7): (0, 29)
(6, 0, 0, (1, 0, 1), -6): (4, 50)
(6, 0, 0, (1, 0, 1), -5): (6, 63)
(6, 0, 0, (1, 0, 1), -4): (17, 116)
(6, 0, 0, (1, 0, 1), -3): (27, 137)
(6, 0, 0, (1, 0, 1), -2): (68, 211)
(6, 0, 0, (1, 0, 1), -1): (156, 312)
(6, 0, 0, (1, 0, 1), 0): (237, 338)
(6, 0, 0, (1, 0, 1), 1): (227, 290)
(6, 0, 0, (1, 0, 1), 2): (222, 259)
(6, 0, 0, (1, 0, 1), 3): (160, 174)
(6, 0, 0, (1, 0, 1), 4): (108, 114)
(6, 0, 0, (1, 0, 1), 5): (76, 81)
(6, 0, 0, (1, 0, 1), 6): (41, 41)
(6, 0, 0, (1, 0, 1), 7): (30, 30)
(6, 0, 0, (1, 0, 1), 8): (22, 22)
(6, 0, 0, (1, 0, 1), 9): (17, 17)
(6, 0, 0, (1, 0, 1), 10): (6, 6)
(6, 0, 0, (1, 0, 1), 11): (7, 7)
(6, 0, 0, (1, 0, 1), 12): (3, 3)
(6, 0, 0, (1, 0, 1), 13): (1, 1)
(6, 0, 0, (1, 0, 1), 14): (2, 2)
(6, 0, 0, (1, 1, 0), -15): (0, 1)
(6, 0, 0, (1, 1, 0), -14): (0, 1)
(6, 0, 0, (1, 1, 0), -13): (0, 2)
(6, 0, 0, (1, 1, 0), -12): (0, 5)
(6, 0, 0, (1, 1, 0), -11): (0, 10)
(6, 0, 0, (1, 1, 0), -10): (0, 20)
(6, 0, 0, (1, 1, 0), -9): (0, 20)
(6, 0, 0, (1, 1, 0), -8): (1, 49)
(6, 0, 0, (1, 1, 0), -7): (2, 85)
(6, 0, 0, (1, 1, 0), -6): (6, 118)
(6, 0, 0, (1, 1, 0), -5): (12, 222)
(6, 0, 0, (1, 1, 0), -4): (38, 312)
(6, 0, 0, (1, 1, 0), -3): (112, 452)
(6, 0, 0, (1, 1, 0), -2): (213, 666)
(6, 0, 0, (1, 1, 0), -1): (309, 700)
(6, 0, 0, (1, 1, 0), 0): (423, 710)
(6, 0, 0, (1, 1, 0), 1): (488, 655)
(6, 0, 0, (1, 1, 0), 2): (435, 536)
(6, 0, 0, (1, 1, 0), 3): (303, 337)
(6, 0, 0, (1, 1, 0), 4): (209, 220)
(6, 0, 0, (1, 1, 0), 5): (157, 162)
(6, 0, 0, (1, 1, 0), 6): (102, 106)
(6, 0, 0, (1, 1, 0), 7): (77, 77)
(6, 0, 0, (1, 1, 0), 8): (59, 59)
(6, 0, 0, (1, 1, 0), 9): (29, 29)
(6, 0, 0, (1, 1, 0), 10): (20, 20)
(6, 0, 0, (1, 1, 0), 11): (9, 9)
(6, 0, 0, (1, 1, 0), 12): (7, 7)
(6, 0, 0, (1, 1, 0), 13): (1, 1)
(6, 0, 0, (1, 1, 0), 14): (1, 1)
(6, 0, 0, (1, 1, 0), 15): (3, 3)
(6, 0, 0, (1, 1, 0), 17): (1, 1)
(6, 0, 0, (1, 1, 1), -13): (0, 1)
(6, 0, 0, (1, 1, 1), -11): (0, 1)
(6, 0, 0, (1, 1, 1), -10): (0, 6)
(6, 0, 0, (1, 1, 1), -9): (0, 4)
(6, 0, 0, (1, 1, 1), -8): (1, 6)
(6, 0, 0, (1, 1, 1), -7): (1, 16)
(6, 0, 0, (1, 1, 1), -6): (3, 24)
(6, 0, 0, (1, 1, 1), -5): (5, 47)
(6, 0, 0, (1, 1, 1), -4): (13, 78)
(6, 0, 0, (1, 1, 1), -3): (30, 96)
(6, 0, 0, (1, 1, 1), -2): (60, 146)
(6, 0, 0, (1, 1, 1), -1): (89, 153)
(6, 0, 0, (1, 1, 1), 0): (114, 166)
(6, 0, 0, (1, 1, 1), 1): (146, 172)
(6, 0, 0, (1, 1, 1), 2): (141, 157)
(6, 0, 0, (1, 1, 1), 3): (78, 85)
(6, 0, 0, (1, 1, 1), 4): (65, 67)
(6, 0, 0, (1, 1, 1), 5): (32, 32)
(6, 0, 0, (1, 1, 1), 6): (29, 29)
(6, 0, 0, (1, 1, 1), 7): (17, 17)
(6, 0, 0, (1, 1, 1), 8): (25, 25)
(6, 0, 0, (1, 1, 1), 9): (9, 9)
(6, 0, 0, (1, 1, 1), 10): (6, 6)
(6, 0, 0, (1, 1, 1), 11): (1, 1)
(6, 0, 0, (1, 1, 1), 12): (3, 3)
(6, 0, 1, (0, 0, 0), -20): (0, 2)
(6, 0, 1, (0, 0, 0), -17): (0, 2)
(6, 0, 1, (0, 0, 0), -16): (0, 2)
(6, 0, 1, (0, 0, 0), -15): (0, 6)
(6, 0, 1, (0, 0, 0), -14): (0, 16)
(6, 0, 1, (0, 0, 0), -13): (0, 23)
(6, 0, 1, (0, 0, 0), -12): (0, 57)
(6, 0, 1, (0, 0, 0), -11): (0, 100)
(6, 0, 1, (0, 0, 0), -10): (1, 183)
(6, 0, 1, (0, 0, 0), -9): (2, 329)
(6, 0, 1, (0, 0, 0), -8): (2, 553)
(6, 0, 1, (0, 0, 0), -7): (6, 917)
(6, 0, 1, (0, 0, 0), -6): (17, 1460)
(6, 0, 1, (0, 0, 0), -5): (79, 2325)
(6, 0, 1, (0, 0, 0), -4): (184, 3460)
(6, 0, 1, (0, 0, 0), -3): (461, 4995)
(6, 0, 1, (0, 0, 0), -2): (1084, 6887)
(6, 0, 1, (0, 0, 0), -1): (2523, 9150)
(6, 0, 1, (0, 0, 0), 0): (4798, 10666)
(6, 0, 1, (0, 0, 0), 1): (5562, 8807)
(6, 0, 1, (0, 0, 0), 2): (5111, 6726)
(6, 0, 1, (0, 0, 0), 3): (4020, 4710)
(6, 0, 1, (0, 0, 0), 4): (2958, 3231)
(6, 0, 1, (0, 0, 0), 5): (1961, 2069)
(6, 0, 1, (0, 0, 0), 6): (1184, 1212)
(6, 0, 1, (0, 0, 0), 7): (719, 733)
(6, 0, 1, (0, 0, 0), 8): (445, 449)
(6, 0, 1, (0, 0, 0), 9): (262, 264)
(6, 0, 1, (0, 0, 0), 10): (130, 130)
(6, 0, 1, (0, 0, 0), 11): (80, 80)
(6, 0, 1, (0, 0, 0), 12): (40, 41)
(6, 0, 1, (0, 0, 0), 13): (35, 35)
(6, 0, 1, (0, 0, 0), 14): (14, 14)
(6, 0, 1, (0, 0, 0), 15): (4, 4)
(6, 0, 1, (0, 0, 0), 16): (3, 3)
(6, 0, 1, (0, 0, 0), 18): (1, 1)
(6, 0, 1, (0, 0, 1), -14): (0, 1)
(6, 0, 1, (0, 0, 1), -13): (0, 1)
(6, 0, 1, (0, 0, 1), -12): (0, 4)
(6, 0, 1, (0, 0, 1), -11): (0, 6)
(6, 0, 1, (0, 0, 1), -10): (0, 7)
(6, 0, 1, (0, 0, 1), -9): (0, 11)
(6, 0, 1, (0, 0, 1), -8): (0, 18)
(6, 0, 1, (0, 0, 1), -7): (0, 34)
(6, 0, 1, (0, 0, 1), -6): (0, 36)
(6, 0, 1, (0, 0, 1), -5): (3, 94)
(6, 0, 1, (0, 0, 1), -4): (9, 138)
(6, 0, 1, (0, 0, 1), -3): (29, 214)
(6, 0, 1, (0, 0, 1), -2): (68, 301)
(6, 0, 1, (0, 0, 1), -1): (198, 486)
(6, 0, 1, (0, 0, 1), 0): (370, 661)
(6, 0, 1, (0, 0, 1), 1): (446, 623)
(6, 0, 1, (0, 0, 1), 2): (389, 468)
(6, 0, 1, (0, 0, 1), 3): (318, 353)
(6, 0, 1, (0, 0, 1), 4): (237, 259)
(6, 0, 1, (0, 0, 1), 5): (135, 145)
(6, 0, 1, (0, 0, 1), 6): (97, 99)
(6, 0, 1, (0, 0, 1), 7): (50, 50)
(6, 0, 1, (0, 0, 1), 8): (14, 14)
(6, 0, 1, (0, 0, 1), 9): (17, 17)
(6, 0, 1, (0, 0, 1), 10): (11, 11)
(6, 0, 1, (0, 0, 1), 11): (7, 7)
(6, 0, 1, (0, 0, 1), 12): (4, 4)
(6, 0, 1, (0, 0, 1), 13): (5, 5)
(6, 0, 1, (0, 0, 1), 14): (1, 1)
(6, 0, 1, (0, 0, 1), 18): (1, 1)
(6, 0, 1, (0, 0, 1), 19): (1, 1)
(6, 0, 1, (0, 1, 0), -15): (0, 5)
(6, 0, 1, (0, 1, 0), -14): (0, 3)
(6, 0, 1, (0, 1, 0), -13): (0, 2)
(6, 0, 1, (0, 1, 0), -12): (0, 13)
(6, 0, 1, (0, 1, 0), -11): (0, 11)
(6, 0, 1, (0, 1, 0), -10): (0, 33)
(6, 0, 1, (0, 1, 0), -9): (0, 44)
(6, 0, 1, (0, 1, 0), -8): (0, 78)
(6, 0, 1, (0, 1, 0), -7): (0, 140)
(6, 0, 1, (0, 1, 0), -6): (9, 197)
(6, 0, 1, (0, 1, 0), -5): (6, 282)
(6, 0, 1, (0, 1, 0), -4): (41, 472)
(6, 0, 1, (0, 1, 0), -3): (83, 666)
(6, 0, 1, (0, 1, 0), -2): (200, 968)
(6, 0, 1, (0, 1, 0), -1): (520, 1554)
(6, 0, 1, (0, 1, 0), 0): (1020, 2024)
(6, 0, 1, (0, 1, 0), 1): (1202, 1725)
(6, 0, 1, (0, 1, 0), 2): (1107, 1384)
(6, 0, 1, (0, 1, 0), 3): (891, 1036)
(6, 0, 1, (0, 1, 0), 4): (667, 733)
(6, 0, 1, (0, 1, 0), 5): (442, 469)
(6, 0, 1, (0, 1, 0), 6): (274, 278)
(6, 0, 1, (0, 1, 0), 7): (154, 155)
(6, 0, 1, (0, 1, 0), 8): (96, 96)
(6, 0, 1, (0, 1, 0), 9): (56, 56)
(6, 0, 1, (0, 1, 0), 10): (30, 30)
(6, 0, 1, (0, 1, 0), 11): (19, 19)
(6, 0, 1, (0, 1, 0), 12): (7, 7)
(6, 0, 1, (0, 1, 0), 13): (7, 7)
(6, 0, 1, (0, 1, 0), 14): (3, 3)
(6, 0, 1, (0, 1, 0), 15): (1, 1)
(6, 0, 1, (0, 1, 0), 16): (1, 1)
(6, 0, 1, (0, 1, 0), 19): (1, 1)
(6, 0, 1, (0, 1, 1), -14): (0, 1)
(6, 0, 1, (0, 1, 1), -13): (0, 1)
(6, 0, 1, (0, 1, 1), -12): (0, 2)
(6, 0, 1, (0, 1, 1), -11): (0, 4)
(6, 0, 1, (0, 1, 1), -10): (0, 10)
(6, 0, 1, (0, 1, 1), -9): (0, 14)
(6, 0, 1, (0, 1, 1), -8): (0, 13)
(6, 0, 1, (0, 1, 1), -7): (0, 30)
(6, 0, 1, (0, 1, 1), -6): (1, 56)
(6, 0, 1, (0, 1, 1), -5): (6, 76)
(6, 0, 1, (0, 1, 1), -4): (8, 107)
(6, 0, 1, (0, 1, 1), -3): (30, 176)
(6, 0, 1, (0, 1, 1), -2): (106, 287)
(6, 0, 1, (0, 1, 1), -1): (185, 422)
(6, 0, 1, (0, 1, 1), 0): (302, 512)
(6, 0, 1, (0, 1, 1), 1): (331, 446)
(6, 0, 1, (0, 1, 1), 2): (316, 388)
(6, 0, 1, (0, 1, 1), 3): (307, 344)
(6, 0, 1, (0, 1, 1), 4): (217, 223)
(6, 0, 1, (0, 1, 1), 5): (141, 144)
(6, 0, 1, (0, 1, 1), 6): (91, 91)
(6, 0, 1, (0, 1, 1), 7): (48, 48)
(6, 0, 1, (0, 1, 1), 8): (25, 25)
(6, 0, 1, (0, 1, 1), 9): (25, 25)
(6, 0, 1, (0, 1, 1), 10): (11, 11)
(6, 0, 1, (0, 1, 1), 11): (5, 5)
(6, 0, 1, (0, 1, 1), 12): (2, 2)
(6, 0, 1, (0, 1, 1), 14): (1, 1)
(6, 0, 1, (1, 0, 0), -16): (0, 1)
(6, 0, 1, (1, 0, 0), -14): (0, 7)
(6, 0, 1, (1, 0, 0), -13): (0, 14)
(6, 0, 1, (1, 0, 0), -12): (0, 25)
(6, 0, 1, (1, 0, 0), -11): (0, 48)
(6, 0, 1, (1, 0, 0), -10): (0, 84)
(6, 0, 1, (1, 0, 0), -9): (0, 127)
(6, 0, 1, (1, 0, 0), -8): (1, 218)
(6, 0, 1, (1, 0, 0), -7): (5, 362)
(6, 0, 1, (1, 0, 0), -6): (12, 637)
(6, 0, 1, (1, 0, 0), -5): (48, 1018)
(6, 0, 1, (1, 0, 0), -4): (96, 1513)
(6, 0, 1, (1, 0, 0), -3): (232, 2045)
(6, 0, 1, (1, 0, 0), -2): (584, 2937)
(6, 0, 1, (1, 0, 0), -1): (1139, 3650)
(6, 0, 1, (1, 0, 0), 0): (2002, 4154)
(6, 0, 1, (1, 0, 0), 1): (2447, 3665)
(6, 0, 1, (1, 0, 0), 2): (2085, 2697)
(6, 0, 1, (1, 0, 0), 3): (1711, 1949)
(6, 0, 1, (1, 0, 0), 4): (1222, 1317)
(6, 0, 1, (1, 0, 0), 5): (852, 902)
(6, 0, 1, (1, 0, 0), 6): (562, 579)
(6, 0, 1, (1, 0, 0), 7): (332, 341)
(6, 0, 1, (1, 0, 0), 8): (186, 188)
(6, 0, 1, (1, 0, 0), 9): (125, 125)
(6, 0, 1, (1, 0, 0), 10): (46, 46)
(6, 0, 1, (1, 0, 0), 11): (37, 37)
(6, 0, 1, (1, 0, 0), 12): (19, 19)
(6, 0, 1, (1, 0, 0), 13): (11, 11)
(6, 0, 1, (1, 0, 0), 14): (1, 1)
(6, 0, 1, (1, 0, 0), 15): (5, 5)
(6, 0, 1, (1, 0, 0), 16): (6, 6)
(6, 0, 1, (1, 0, 0), 19): (2, 2)
(6, 0, 1, (1, 0, 0), 20): (1, 1)
(6, 0, 1, (1, 0, 1), -12): (0, 2)
(6, 0, 1, (1, 0, 1), -11): (0, 7)
(6, 0, 1, (1, 0, 1), -10): (0, 19)
(6, 0, 1, (1, 0, 1), -9): (0, 12)
(6, 0, 1, (1, 0, 1), -8): (0, 24)
(6, 0, 1, (1, 0, 1), -7): (2, 55)
(6, 0, 1, (1, 0, 1), -6): (3, 80)
(6, 0, 1, (1, 0, 1), -5): (8, 139)
(6, 0, 1, (1, 0, 1), -4): (23, 228)
(6, 0, 1, (1, 0, 1), -3): (54, 288)
(6, 0, 1, (1, 0, 1), -2): (120, 413)
(6, 0, 1, (1, 0, 1), -1): (220, 555)
(6, 0, 1, (1, 0, 1), 0): (401, 680)
(6, 0, 1, (1, 0, 1), 1): (482, 669)
(6, 0, 1, (1, 0, 1), 2): (449, 551)
(6, 0, 1, (1, 0, 1), 3): (362, 399)
(6, 0, 1, (1, 0, 1), 4): (268, 288)
(6, 0, 1, (1, 0, 1), 5): (167, 174)
(6, 0, 1, (1, 0, 1), 6): (121, 123)
(6, 0, 1, (1, 0, 1), 7): (71, 71)
(6, 0, 1, (1, 0, 1), 8): (51, 51)
(6, 0, 1, (1, 0, 1), 9): (46, 46)
(6, 0, 1, (1, 0, 1), 10): (12, 12)
(6, 0, 1, (1, 0, 1), 11): (9, 9)
(6, 0, 1, (1, 0, 1), 12): (9, 9)
(6, 0, 1, (1, 0, 1), 13): (5, 5)
(6, 0, 1, (1, 0, 1), 15): (2, 2)
(6, 0, 1, (1, 0, 1), 17): (1, 1)
(6, 0, 1, (1, 1, 0), -15): (0, 1)
(6, 0, 1, (1, 1, 0), -14): (0, 1)
(6, 0, 1, (1, 1, 0), -13): (0, 4)
(6, 0, 1, (1, 1, 0), -12): (0, 6)
(6, 0, 1, (1, 1, 0), -11): (0, 17)
(6, 0, 1, (1, 1, 0), -10): (0, 30)
(6, 0, 1, (1, 1, 0), -9): (0, 35)
(6, 0, 1, (1, 1, 0), -8): (1, 68)
(6, 0, 1, (1, 1, 0), -7): (3, 135)
(6, 0, 1, (1, 1, 0), -6): (6, 186)
(6, 0, 1, (1, 1, 0), -5): (17, 307)
(6, 0, 1, (1, 1, 0), -4): (47, 457)
(6, 0, 1, (1, 1, 0), -3): (108, 714)
(6, 0, 1, (1, 1, 0), -2): (242, 982)
(6, 0, 1, (1, 1, 0), -1): (444, 1173)
(6, 0, 1, (1, 1, 0), 0): (700, 1384)
(6, 0, 1, (1, 1, 0), 1): (884, 1279)
(6, 0, 1, (1, 1, 0), 2): (782, 1001)
(6, 0, 1, (1, 1, 0), 3): (629, 713)
(6, 0, 1, (1, 1, 0), 4): (437, 468)
(6, 0, 1, (1, 1, 0), 5): (323, 336)
(6, 0, 1, (1, 1, 0), 6): (235, 244)
(6, 0, 1, (1, 1, 0), 7): (162, 165)
(6, 0, 1, (1, 1, 0), 8): (98, 98)
(6, 0, 1, (1, 1, 0), 9): (53, 53)
(6, 0, 1, (1, 1, 0), 10): (35, 35)
(6, 0, 1, (1, 1, 0), 11): (18, 18)
(6, 0, 1, (1, 1, 0), 12): (10, 10)
(6, 0, 1, (1, 1, 0), 13): (4, 4)
(6, 0, 1, (1, 1, 0), 15): (3, 3)
(6, 0, 1, (1, 1, 0), 16): (3, 3)
(6, 0, 1, (1, 1, 0), 18): (1, 1)
(6, 0, 1, (1, 1, 0), 20): (1, 1)
(6, 0, 1, (1, 1, 1), -14): (0, 1)
(6, 0, 1, (1, 1, 1), -12): (0, 2)
(6, 0, 1, (1, 1, 1), -11): (0, 2)
(6, 0, 1, (1, 1, 1), -10): (0, 9)
(6, 0, 1, (1, 1, 1), -9): (0, 6)
(6, 0, 1, (1, 1, 1), -8): (0, 10)
(6, 0, 1, (1, 1, 1), -7): (1, 31)
(6, 0, 1, (1, 1, 1), -6): (4, 50)
(6, 0, 1, (1, 1, 1), -5): (5, 77)
(6, 0, 1, (1, 1, 1), -4): (18, 128)
(6, 0, 1, (1, 1, 1), -3): (50, 190)
(6, 0, 1, (1, 1, 1), -2): (88, 274)
(6, 0, 1, (1, 1, 1), -1): (164, 388)
(6, 0, 1, (1, 1, 1), 0): (297, 506)
(6, 0, 1, (1, 1, 1), 1): (401, 525)
(6, 0, 1, (1, 1, 1), 2): (372, 437)
(6, 0, 1, (1, 1, 1), 3): (308, 340)
(6, 0, 1, (1, 1, 1), 4): (213, 223)
(6, 0, 1, (1, 1, 1), 5): (135, 137)
(6, 0, 1, (1, 1, 1), 6): (97, 98)
(6, 0, 1, (1, 1, 1), 7): (57, 57)
(6, 0, 1, (1, 1, 1), 8): (52, 52)
(6, 0, 1, (1, 1, 1), 9): (27, 27)
(6, 0, 1, (1, 1, 1), 10): (12, 12)
(6, 0, 1, (1, 1, 1), 11): (5, 5)
(6, 0, 1, (1, 1, 1), 12): (4, 4)
(6, 0, 1, (1, 1, 1), 13): (2, 2)
(6, 0, 1, (1, 1, 1), 15): (1, 1)
(6, 0, 1, (1, 1, 1), 16): (2, 2)
(6, 0, 1, (1, 1, 1), 18): (1, 1)
(6, 0, 1, (1, 1, 1), 19): (1, 1)
(6, 0, 2, (0, 0, 0), -20): (0, 2)
(6, 0, 2, (0, 0, 0), -18): (0, 1)
(6, 0, 2, (0, 0, 0), -17): (0, 3)
(6, 0, 2, (0, 0, 0), -16): (0, 1)
(6, 0, 2, (0, 0, 0), -15): (0, 5)
(6, 0, 2, (0, 0, 0), -14): (0, 9)
(6, 0, 2, (0, 0, 0), -13): (0, 20)
(6, 0, 2, (0, 0, 0), -12): (0, 39)
(6, 0, 2, (0, 0, 0), -11): (0, 79)
(6, 0, 2, (0, 0, 0), -10): (1, 133)
(6, 0, 2, (0, 0, 0), -9): (2, 251)
(6, 0, 2, (0, 0, 0), -8): (1, 421)
(6, 0, 2, (0, 0, 0), -7): (4, 700)
(6, 0, 2, (0, 0, 0), -6): (4, 1058)
(6, 0, 2, (0, 0, 0), -5): (51, 1734)
(6, 0, 2, (0, 0, 0), -4): (106, 2595)
(6, 0, 2, (0, 0, 0), -3): (307, 3823)
(6, 0, 2, (0, 0, 0), -2): (696, 5186)
(6, 0, 2, (0, 0, 0), -1): (1764, 7114)
(6, 0, 2, (0, 0, 0), 0): (3505, 8270)
(6, 0, 2, (0, 0, 0), 1): (4277, 7000)
(6, 0, 2, (0, 0, 0), 2): (4073, 5493)
(6, 0, 2, (0, 0, 0), 3): (3385, 4010)
(6, 0, 2, (0, 0, 0), 4): (2482, 2721)
(6, 0, 2, (0, 0, 0), 5): (1701, 1783)
(6, 0, 2, (0, 0, 0), 6): (1023, 1056)
(6, 0, 2, (0, 0, 0), 7): (641, 655)
(6, 0, 2, (0, 0, 0), 8): (408, 410)
(6, 0, 2, (0, 0, 0), 9): (232, 234)
(6, 0, 2, (0, 0, 0), 10): (137, 137)
(6, 0, 2, (0, 0, 0), 11): (91, 91)
(6, 0, 2, (0, 0, 0), 12): (46, 47)
(6, 0, 2, (0, 0, 0), 13): (37, 37)
(6, 0, 2, (0, 0, 0), 14): (17, 17)
(6, 0, 2, (0, 0, 0), 15): (6, 6)
(6, 0, 2, (0, 0, 0), 16): (3, 3)
(6, 0, 2, (0, 0, 0), 18): (1, 1)
(6, 0, 2, (0, 0, 0), 21): (1, 1)
(6, 0, 2, (0, 0, 1), -15): (0, 3)
(6, 0, 2, (0, 0, 1), -14): (0, 1)
(6, 0, 2, (0, 0, 1), -12): (0, 6)
(6, 0, 2, (0, 0, 1), -11): (0, 3)
(6, 0, 2, (0, 0, 1), -10): (0, 11)
(6, 0, 2, (0, 0, 1), -9): (0, 18)
(6, 0, 2, (0, 0, 1), -8): (0, 35)
(6, 0, 2, (0, 0, 1), -7): (0, 56)
(6, 0, 2, (0, 0, 1), -6): (0, 91)
(6, 0, 2, (0, 0, 1), -5): (4, 156)
(6, 0, 2, (0, 0, 1), -4): (16, 232)
(6, 0, 2, (0, 0, 1), -3): (29, 315)
(6, 0, 2, (0, 0, 1), -2): (77, 473)
(6, 0, 2, (0, 0, 1), -1): (202, 691)
(6, 0, 2, (0, 0, 1), 0): (419, 915)
(6, 0, 2, (0, 0, 1), 1): (518, 820)
(6, 0, 2, (0, 0, 1), 2): (503, 650)
(6, 0, 2, (0, 0, 1), 3): (457, 529)
(6, 0, 2, (0, 0, 1), 4): (379, 415)
(6, 0, 2, (0, 0, 1), 5): (271, 291)
(6, 0, 2, (0, 0, 1), 6): (146, 151)
(6, 0, 2, (0, 0, 1), 7): (82, 83)
(6, 0, 2, (0, 0, 1), 8): (62, 62)
(6, 0, 2, (0, 0, 1), 9): (26, 26)
(6, 0, 2, (0, 0, 1), 10): (21, 21)
(6, 0, 2, (0, 0, 1), 11): (13, 13)
(6, 0, 2, (0, 0, 1), 12): (11, 11)
(6, 0, 2, (0, 0, 1), 13): (5, 5)
(6, 0, 2, (0, 0, 1), 14): (3, 3)
(6, 0, 2, (0, 0, 1), 15): (1, 1)
(6, 0, 2, (0, 1, 0), -15): (0, 1)
(6, 0, 2, (0, 1, 0), -14): (0, 4)
(6, 0, 2, (0, 1, 0), -13): (0, 4)
(6, 0, 2, (0, 1, 0), -12): (0, 9)
(6, 0, 2, (0, 1, 0), -11): (0, 16)
(6, 0, 2, (0, 1, 0), -10): (0, 26)
(6, 0, 2, (0, 1, 0), -9): (0, 47)
(6, 0, 2, (0, 1, 0), -8): (0, 88)
(6, 0, 2, (0, 1, 0), -7): (0, 129)
(6, 0, 2, (0, 1, 0), -6): (4, 229)
(6, 0, 2, (0, 1, 0), -5): (8, 362)
(6, 0, 2, (0, 1, 0), -4): (21, 557)
(6, 0, 2, (0, 1, 0), -3): (71, 826)
(6, 0, 2, (0, 1, 0), -2): (172, 1182)
(6, 0, 2, (0, 1, 0), -1): (504, 1793)
(6, 0, 2, (0, 1, 0), 0): (1054, 2292)
(6, 0, 2, (0, 1, 0), 1): (1357, 2076)
(6, 0, 2, (0, 1, 0), 2): (1360, 1787)
(6, 0, 2, (0, 1, 0), 3): (1149, 1344)
(6, 0, 2, (0, 1, 0), 4): (905, 990)
(6, 0, 2, (0, 1, 0), 5): (643, 677)
(6, 0, 2, (0, 1, 0), 6): (357, 366)
(6, 0, 2, (0, 1, 0), 7): (214, 218)
(6, 0, 2, (0, 1, 0), 8): (128, 129)
(6, 0, 2, (0, 1, 0), 9): (86, 87)
(6, 0, 2, (0, 1, 0), 10): (51, 51)
(6, 0, 2, (0, 1, 0), 11): (32, 32)
(6, 0, 2, (0, 1, 0), 12): (11, 11)
(6, 0, 2, (0, 1, 0), 13): (13, 13)
(6, 0, 2, (0, 1, 0), 14): (5, 5)
(6, 0, 2, (0, 1, 0), 15): (2, 2)
(6, 0, 2, (0, 1, 0), 16): (4, 4)
(6, 0, 2, (0, 1, 0), 17): (1, 1)
(6, 0, 2, (0, 1, 0), 18): (1, 1)
(6, 0, 2, (0, 1, 1), -12): (0, 1)
(6, 0, 2, (0, 1, 1), -11): (0, 6)
(6, 0, 2, (0, 1, 1), -10): (0, 6)
(6, 0, 2, (0, 1, 1), -9): (0, 13)
(6, 0, 2, (0, 1, 1), -8): (0, 16)
(6, 0, 2, (0, 1, 1), -7): (0, 35)
(6, 0, 2, (0, 1, 1), -6): (1, 59)
(6, 0, 2, (0, 1, 1), -5): (4, 89)
(6, 0, 2, (0, 1, 1), -4): (8, 153)
(6, 0, 2, (0, 1, 1), -3): (29, 206)
(6, 0, 2, (0, 1, 1), -2): (69, 288)
(6, 0, 2, (0, 1, 1), -1): (125, 394)
(6, 0, 2, (0, 1, 1), 0): (254, 485)
(6, 0, 2, (0, 1, 1), 1): (330, 475)
(6, 0, 2, (0, 1, 1), 2): (334, 432)
(6, 0, 2, (0, 1, 1), 3): (315, 363)
(6, 0, 2, (0, 1, 1), 4): (235, 250)
(6, 0, 2, (0, 1, 1), 5): (177, 188)
(6, 0, 2, (0, 1, 1), 6): (119, 122)
(6, 0, 2, (0, 1, 1), 7): (63, 65)
(6, 0, 2, (0, 1, 1), 8): (38, 39)
(6, 0, 2, (0, 1, 1), 9): (26, 26)
(6, 0, 2, (0, 1, 1), 10): (19, 19)
(6, 0, 2, (0, 1, 1), 11): (5, 5)
(6, 0, 2, (0, 1, 1), 12): (4, 4)
(6, 0, 2, (0, 1, 1), 13): (5, 5)
(6, 0, 2, (0, 1, 1), 14): (2, 2)
(6, 0, 2, (0, 1, 1), 18): (1, 1)
(6, 0, 2, (1, 0, 0), -18): (0, 1)
(6, 0, 2, (1, 0, 0), -17): (0, 1)
(6, 0, 2, (1, 0, 0), -16): (0, 1)
(6, 0, 2, (1, 0, 0), -14): (0, 4)
(6, 0, 2, (1, 0, 0), -13): (0, 14)
(6, 0, 2, (1, 0, 0), -12): (0, 27)
(6, 0, 2, (1, 0, 0), -11): (0, 47)
(6, 0, 2, (1, 0, 0), -10): (0, 79)
(6, 0, 2, (1, 0, 0), -9): (1, 127)
(6, 0, 2, (1, 0, 0), -8): (0, 200)
(6, 0, 2, (1, 0, 0), -7): (2, 370)
(6, 0, 2, (1, 0, 0), -6): (6, 595)
(6, 0, 2, (1, 0, 0), -5): (32, 961)
(6, 0, 2, (1, 0, 0), -4): (72, 1442)
(6, 0, 2, (1, 0, 0), -3): (177, 2018)
(6, 0, 2, (1, 0, 0), -2): (429, 2677)
(6, 0, 2, (1, 0, 0), -1): (1001, 3556)
(6, 0, 2, (1, 0, 0), 0): (1812, 4120)
(6, 0, 2, (1, 0, 0), 1): (2269, 3573)
(6, 0, 2, (1, 0, 0), 2): (2055, 2756)
(6, 0, 2, (1, 0, 0), 3): (1840, 2158)
(6, 0, 2, (1, 0, 0), 4): (1337, 1445)
(6, 0, 2, (1, 0, 0), 5): (945, 1003)
(6, 0, 2, (1, 0, 0), 6): (621, 643)
(6, 0, 2, (1, 0, 0), 7): (394, 408)
(6, 0, 2, (1, 0, 0), 8): (258, 261)
(6, 0, 2, (1, 0, 0), 9): (163, 163)
(6, 0, 2, (1, 0, 0), 10): (83, 83)
(6, 0, 2, (1, 0, 0), 11): (58, 58)
(6, 0, 2, (1, 0, 0), 12): (30, 30)
(6, 0, 2, (1, 0, 0), 13): (21, 21)
(6, 0, 2, (1, 0, 0), 14): (7, 7)
(6, 0, 2, (1, 0, 0), 15): (3, 3)
(6, 0, 2, (1, 0, 0), 16): (6, 6)
(6, 0, 2, (1, 0, 0), 18): (1, 1)
(6, 0, 2, (1, 0, 0), 19): (1, 1)
(6, 0, 2, (1, 0, 1), -15): (0, 1)
(6, 0, 2, (1, 0, 1), -13): (0, 2)
(6, 0, 2, (1, 0, 1), -12): (0, 3)
(6, 0, 2, (1, 0, 1), -11): (0, 5)
(6, 0, 2, (1, 0, 1), -10): (0, 12)
(6, 0, 2, (1, 0, 1), -9): (0, 22)
(6, 0, 2, (1, 0, 1), -8): (1, 33)
(6, 0, 2, (1, 0, 1), -7): (2, 58)
(6, 0, 2, (1, 0, 1), -6): (2, 83)
(6, 0, 2, (1, 0, 1), -5): (7, 160)
(6, 0, 2, (1, 0, 1), -4): (15, 252)
(6, 0, 2, (1, 0, 1), -3): (39, 350)
(6, 0, 2, (1, 0, 1), -2): (108, 500)
(6, 0, 2, (1, 0, 1), -1): (207, 660)
(6, 0, 2, (1, 0, 1), 0): (409, 873)
(6, 0, 2, (1, 0, 1), 1): (559, 839)
(6, 0, 2, (1, 0, 1), 2): (527, 698)
(6, 0, 2, (1, 0, 1), 3): (466, 534)
(6, 0, 2, (1, 0, 1), 4): (362, 397)
(6, 0, 2, (1, 0, 1), 5): (277, 293)
(6, 0, 2, (1, 0, 1), 6): (193, 197)
(6, 0, 2, (1, 0, 1), 7): (120, 122)
(6, 0, 2, (1, 0, 1), 8): (71, 73)
(6, 0, 2, (1, 0, 1), 9): (45, 45)
(6, 0, 2, (1, 0, 1), 10): (29, 29)
(6, 0, 2, (1, 0, 1), 11): (15, 15)
(6, 0, 2, (1, 0, 1), 12): (12, 12)
(6, 0, 2, (1, 0, 1), 13): (6, 6)
(6, 0, 2, (1, 0, 1), 14): (5, 5)
(6, 0, 2, (1, 0, 1), 15): (3, 3)
(6, 0, 2, (1, 0, 1), 16): (1, 1)
(6, 0, 2, (1, 0, 1), 19): (1, 1)
(6, 0, 2, (1, 1, 0), -14): (0, 3)
(6, 0, 2, (1, 1, 0), -13): (0, 5)
(6, 0, 2, (1, 1, 0), -12): (0, 10)
(6, 0, 2, (1, 1, 0), -11): (0, 11)
(6, 0, 2, (1, 1, 0), -10): (0, 35)
(6, 0, 2, (1, 1, 0), -9): (0, 46)
(6, 0, 2, (1, 1, 0), -8): (0, 76)
(6, 0, 2, (1, 1, 0), -7): (2, 142)
(6, 0, 2, (1, 1, 0), -6): (5, 209)
(6, 0, 2, (1, 1, 0), -5): (18, 383)
(6, 0, 2, (1, 1, 0), -4): (42, 537)
(6, 0, 2, (1, 1, 0), -3): (74, 783)
(6, 0, 2, (1, 1, 0), -2): (207, 1110)
(6, 0, 2, (1, 1, 0), -1): (451, 1446)
(6, 0, 2, (1, 1, 0), 0): (877, 1841)
(6, 0, 2, (1, 1, 0), 1): (1092, 1719)
(6, 0, 2, (1, 1, 0), 2): (1080, 1383)
(6, 0, 2, (1, 1, 0), 3): (885, 1036)
(6, 0, 2, (1, 1, 0), 4): (710, 766)
(6, 0, 2, (1, 1, 0), 5): (484, 505)
(6, 0, 2, (1, 1, 0), 6): (333, 339)
(6, 0, 2, (1, 1, 0), 7): (222, 226)
(6, 0, 2, (1, 1, 0), 8): (135, 136)
(6, 0, 2, (1, 1, 0), 9): (94, 95)
(6, 0, 2, (1, 1, 0), 10): (48, 48)
(6, 0, 2, (1, 1, 0), 11): (37, 37)
(6, 0, 2, (1, 1, 0), 12): (14, 14)
(6, 0, 2, (1, 1, 0), 13): (9, 9)
(6, 0, 2, (1, 1, 0), 14): (3, 3)
(6, 0, 2, (1, 1, 0), 15): (1, 1)
(6, 0, 2, (1, 1, 0), 16): (5, 5)
(6, 0, 2, (1, 1, 0), 17): (2, 2)
(6, 0, 2, (1, 1, 0), 18): (1, 1)
(6, 0, 2, (1, 1, 0), 20): (2, 2)
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(6, 0, 2, (1, 1, 1), -12): (0, 2)
(6, 0, 2, (1, 1, 1), -10): (0, 6)
(6, 0, 2, (1, 1, 1), -9): (0, 6)
(6, 0, 2, (1, 1, 1), -8): (0, 7)
(6, 0, 2, (1, 1, 1), -7): (1, 35)
(6, 0, 2, (1, 1, 1), -6): (2, 56)
(6, 0, 2, (1, 1, 1), -5): (4, 96)
(6, 0, 2, (1, 1, 1), -4): (10, 145)
(6, 0, 2, (1, 1, 1), -3): (36, 225)
(6, 0, 2, (1, 1, 1), -2): (92, 342)
(6, 0, 2, (1, 1, 1), -1): (170, 456)
(6, 0, 2, (1, 1, 1), 0): (325, 621)
(6, 0, 2, (1, 1, 1), 1): (429, 601)
(6, 0, 2, (1, 1, 1), 2): (395, 499)
(6, 0, 2, (1, 1, 1), 3): (322, 378)
(6, 0, 2, (1, 1, 1), 4): (259, 274)
(6, 0, 2, (1, 1, 1), 5): (171, 182)
(6, 0, 2, (1, 1, 1), 6): (135, 140)
(6, 0, 2, (1, 1, 1), 7): (82, 84)
(6, 0, 2, (1, 1, 1), 8): (48, 48)
(6, 0, 2, (1, 1, 1), 9): (27, 27)
(6, 0, 2, (1, 1, 1), 10): (22, 22)
(6, 0, 2, (1, 1, 1), 11): (14, 14)
(6, 0, 2, (1, 1, 1), 12): (7, 7)
(6, 0, 2, (1, 1, 1), 13): (2, 2)
(6, 0, 2, (1, 1, 1), 14): (1, 1)
(6, 0, 2, (1, 1, 1), 16): (2, 2)
(6, 1, 0, (0, 0, 0), -21): (0, 1)
(6, 1, 0, (0, 0, 0), -20): (0, 2)
(6, 1, 0, (0, 0, 0), -19): (0, 3)
(6, 1, 0, (0, 0, 0), -18): (0, 1)
(6, 1, 0, (0, 0, 0), -17): (0, 4)
(6, 1, 0, (0, 0, 0), -16): (0, 12)
(6, 1, 0, (0, 0, 0), -15): (0, 11)
(6, 1, 0, (0, 0, 0), -14): (0, 29)
(6, 1, 0, (0, 0, 0), -13): (0, 70)
(6, 1, 0, (0, 0, 0), -12): (1, 96)
(6, 1, 0, (0, 0, 0), -11): (0, 177)
(6, 1, 0, (0, 0, 0), -10): (0, 308)
(6, 1, 0, (0, 0, 0), -9): (3, 469)
(6, 1, 0, (0, 0, 0), -8): (7, 838)
(6, 1, 0, (0, 0, 0), -7): (27, 1316)
(6, 1, 0, (0, 0, 0), -6): (68, 2146)
(6, 1, 0, (0, 0, 0), -5): (189, 3473)
(6, 1, 0, (0, 0, 0), -4): (464, 5079)
(6, 1, 0, (0, 0, 0), -3): (1188, 7315)
(6, 1, 0, (0, 0, 0), -2): (2643, 9903)
(6, 1, 0, (0, 0, 0), -1): (4976, 12367)
(6, 1, 0, (0, 0, 0), 0): (8259, 13863)
(6, 1, 0, (0, 0, 0), 1): (9044, 11762)
(6, 1, 0, (0, 0, 0), 2): (7824, 8960)
(6, 1, 0, (0, 0, 0), 3): (6103, 6542)
(6, 1, 0, (0, 0, 0), 4): (4382, 4552)
(6, 1, 0, (0, 0, 0), 5): (2885, 2966)
(6, 1, 0, (0, 0, 0), 6): (1865, 1876)
(6, 1, 0, (0, 0, 0), 7): (1164, 1171)
(6, 1, 0, (0, 0, 0), 8): (697, 698)
(6, 1, 0, (0, 0, 0), 9): (433, 434)
(6, 1, 0, (0, 0, 0), 10): (259, 260)
(6, 1, 0, (0, 0, 0), 11): (141, 141)
(6, 1, 0, (0, 0, 0), 12): (68, 68)
(6, 1, 0, (0, 0, 0), 13): (36, 36)
(6, 1, 0, (0, 0, 0), 14): (21, 21)
(6, 1, 0, (0, 0, 0), 15): (9, 9)
(6, 1, 0, (0, 0, 0), 16): (3, 3)
(6, 1, 0, (0, 0, 0), 17): (3, 3)
(6, 1, 0, (0, 0, 0), 18): (1, 1)
(6, 1, 0, (0, 0, 0), 20): (2, 2)
(6, 1, 0, (0, 0, 1), -11): (0, 2)
(6, 1, 0, (0, 0, 1), -10): (0, 1)
(6, 1, 0, (0, 0, 1), -9): (0, 6)
(6, 1, 0, (0, 0, 1), -8): (0, 10)
(6, 1, 0, (0, 0, 1), -7): (1, 16)
(6, 1, 0, (0, 0, 1), -6): (2, 25)
(6, 1, 0, (0, 0, 1), -5): (6, 49)
(6, 1, 0, (0, 0, 1), -4): (8, 63)
(6, 1, 0, (0, 0, 1), -3): (33, 92)
(6, 1, 0, (0, 0, 1), -2): (48, 135)
(6, 1, 0, (0, 0, 1), -1): (87, 149)
(6, 1, 0, (0, 0, 1), 0): (157, 203)
(6, 1, 0, (0, 0, 1), 1): (148, 186)
(6, 1, 0, (0, 0, 1), 2): (149, 161)
(6, 1, 0, (0, 0, 1), 3): (112, 118)
(6, 1, 0, (0, 0, 1), 4): (80, 83)
(6, 1, 0, (0, 0, 1), 5): (54, 58)
(6, 1, 0, (0, 0, 1), 6): (39, 39)
(6, 1, 0, (0, 0, 1), 7): (15, 15)
(6, 1, 0, (0, 0, 1), 8): (15, 15)
(6, 1, 0, (0, 0, 1), 9): (21, 21)
(6, 1, 0, (0, 0, 1), 10): (5, 5)
(6, 1, 0, (0, 0, 1), 11): (5, 5)
(6, 1, 0, (0, 0, 1), 12): (1, 1)
(6, 1, 0, (0, 0, 1), 14): (1, 1)
(6, 1, 0, (0, 1, 0), -15): (0, 1)
(6, 1, 0, (0, 1, 0), -14): (0, 1)
(6, 1, 0, (0, 1, 0), -13): (0, 3)
(6, 1, 0, (0, 1, 0), -12): (0, 13)
(6, 1, 0, (0, 1, 0), -11): (0, 9)
(6, 1, 0, (0, 1, 0), -10): (0, 26)
(6, 1, 0, (0, 1, 0), -9): (0, 25)
(6, 1, 0, (0, 1, 0), -8): (1, 59)
(6, 1, 0, (0, 1, 0), -7): (6, 81)
(6, 1, 0, (0, 1, 0), -6): (10, 140)
(6, 1, 0, (0, 1, 0), -5): (17, 207)
(6, 1, 0, (0, 1, 0), -4): (56, 377)
(6, 1, 0, (0, 1, 0), -3): (109, 492)
(6, 1, 0, (0, 1, 0), -2): (238, 652)
(6, 1, 0, (0, 1, 0), -1): (452, 863)
(6, 1, 0, (0, 1, 0), 0): (670, 978)
(6, 1, 0, (0, 1, 0), 1): (787, 951)
(6, 1, 0, (0, 1, 0), 2): (640, 713)
(6, 1, 0, (0, 1, 0), 3): (536, 567)
(6, 1, 0, (0, 1, 0), 4): (404, 414)
(6, 1, 0, (0, 1, 0), 5): (277, 281)
(6, 1, 0, (0, 1, 0), 6): (147, 148)
(6, 1, 0, (0, 1, 0), 7): (80, 81)
(6, 1, 0, (0, 1, 0), 8): (51, 51)
(6, 1, 0, (0, 1, 0), 9): (37, 37)
(6, 1, 0, (0, 1, 0), 10): (22, 22)
(6, 1, 0, (0, 1, 0), 11): (11, 11)
(6, 1, 0, (0, 1, 0), 12): (10, 10)
(6, 1, 0, (0, 1, 0), 13): (1, 1)
(6, 1, 0, (0, 1, 0), 14): (4, 4)
(6, 1, 0, (0, 1, 0), 15): (3, 3)
(6, 1, 0, (0, 1, 1), -15): (0, 1)
(6, 1, 0, (0, 1, 1), -13): (0, 1)
(6, 1, 0, (0, 1, 1), -12): (0, 2)
(6, 1, 0, (0, 1, 1), -11): (0, 1)
(6, 1, 0, (0, 1, 1), -10): (0, 4)
(6, 1, 0, (0, 1, 1), -9): (0, 3)
(6, 1, 0, (0, 1, 1), -8): (0, 9)
(6, 1, 0, (0, 1, 1), -7): (0, 22)
(6, 1, 0, (0, 1, 1), -6): (2, 30)
(6, 1, 0, (0, 1, 1), -5): (5, 41)
(6, 1, 0, (0, 1, 1), -4): (16, 60)
(6, 1, 0, (0, 1, 1), -3): (31, 90)
(6, 1, 0, (0, 1, 1), -2): (53, 146)
(6, 1, 0, (0, 1, 1), -1): (116, 165)
(6, 1, 0, (0, 1, 1), 0): (141, 178)
(6, 1, 0, (0, 1, 1), 1): (148, 169)
(6, 1, 0, (0, 1, 1), 2): (122, 131)
(6, 1, 0, (0, 1, 1), 3): (115, 119)
(6, 1, 0, (0, 1, 1), 4): (68, 68)
(6, 1, 0, (0, 1, 1), 5): (62, 62)
(6, 1, 0, (0, 1, 1), 6): (39, 40)
(6, 1, 0, (0, 1, 1), 7): (30, 30)
(6, 1, 0, (0, 1, 1), 8): (13, 13)
(6, 1, 0, (0, 1, 1), 9): (16, 16)
(6, 1, 0, (0, 1, 1), 10): (9, 9)
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(6, 1, 0, (0, 1, 1), 12): (4, 4)
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(6, 1, 0, (1, 0, 0), -17): (0, 1)
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(6, 1, 0, (1, 0, 0), -15): (0, 2)
(6, 1, 0, (1, 0, 0), -14): (0, 5)
(6, 1, 0, (1, 0, 0), -13): (0, 23)
(6, 1, 0, (1, 0, 0), -12): (0, 25)
(6, 1, 0, (1, 0, 0), -11): (0, 38)
(6, 1, 0, (1, 0, 0), -10): (0, 78)
(6, 1, 0, (1, 0, 0), -9): (1, 122)
(6, 1, 0, (1, 0, 0), -8): (3, 219)
(6, 1, 0, (1, 0, 0), -7): (8, 317)
(6, 1, 0, (1, 0, 0), -6): (28, 582)
(6, 1, 0, (1, 0, 0), -5): (85, 891)
(6, 1, 0, (1, 0, 0), -4): (160, 1262)
(6, 1, 0, (1, 0, 0), -3): (399, 1824)
(6, 1, 0, (1, 0, 0), -2): (842, 2592)
(6, 1, 0, (1, 0, 0), -1): (1546, 3252)
(6, 1, 0, (1, 0, 0), 0): (2344, 3602)
(6, 1, 0, (1, 0, 0), 1): (2418, 3054)
(6, 1, 0, (1, 0, 0), 2): (2131, 2390)
(6, 1, 0, (1, 0, 0), 3): (1591, 1711)
(6, 1, 0, (1, 0, 0), 4): (1140, 1179)
(6, 1, 0, (1, 0, 0), 5): (770, 795)
(6, 1, 0, (1, 0, 0), 6): (504, 509)
(6, 1, 0, (1, 0, 0), 7): (303, 305)
(6, 1, 0, (1, 0, 0), 8): (196, 196)
(6, 1, 0, (1, 0, 0), 9): (135, 135)
(6, 1, 0, (1, 0, 0), 10): (75, 76)
(6, 1, 0, (1, 0, 0), 11): (47, 47)
(6, 1, 0, (1, 0, 0), 12): (20, 20)
(6, 1, 0, (1, 0, 0), 13): (12, 12)
(6, 1, 0, (1, 0, 0), 14): (5, 5)
(6, 1, 0, (1, 0, 0), 15): (4, 4)
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(6, 1, 0, (1, 0, 1), -12): (0, 2)
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(6, 1, 0, (1, 0, 1), -10): (0, 7)
(6, 1, 0, (1, 0, 1), -9): (0, 15)
(6, 1, 0, (1, 0, 1), -8): (1, 18)
(6, 1, 0, (1, 0, 1), -7): (1, 17)
(6, 1, 0, (1, 0, 1), -6): (2, 37)
(6, 1, 0, (1, 0, 1), -5): (12, 67)
(6, 1, 0, (1, 0, 1), -4): (23, 105)
(6, 1, 0, (1, 0, 1), -3): (37, 141)
(6, 1, 0, (1, 0, 1), -2): (110, 215)
(6, 1, 0, (1, 0, 1), -1): (199, 313)
(6, 1, 0, (1, 0, 1), 0): (254, 334)
(6, 1, 0, (1, 0, 1), 1): (244, 277)
(6, 1, 0, (1, 0, 1), 2): (232, 246)
(6, 1, 0, (1, 0, 1), 3): (176, 182)
(6, 1, 0, (1, 0, 1), 4): (138, 138)
(6, 1, 0, (1, 0, 1), 5): (82, 82)
(6, 1, 0, (1, 0, 1), 6): (70, 70)
(6, 1, 0, (1, 0, 1), 7): (34, 34)
(6, 1, 0, (1, 0, 1), 8): (19, 19)
(6, 1, 0, (1, 0, 1), 9): (15, 15)
(6, 1, 0, (1, 0, 1), 10): (3, 3)
(6, 1, 0, (1, 0, 1), 11): (7, 7)
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(6, 1, 0, (1, 1, 0), -13): (0, 3)
(6, 1, 0, (1, 1, 0), -12): (0, 11)
(6, 1, 0, (1, 1, 0), -11): (0, 12)
(6, 1, 0, (1, 1, 0), -10): (0, 18)
(6, 1, 0, (1, 1, 0), -9): (1, 25)
(6, 1, 0, (1, 1, 0), -8): (0, 47)
(6, 1, 0, (1, 1, 0), -7): (4, 80)
(6, 1, 0, (1, 1, 0), -6): (10, 139)
(6, 1, 0, (1, 1, 0), -5): (32, 227)
(6, 1, 0, (1, 1, 0), -4): (73, 330)
(6, 1, 0, (1, 1, 0), -3): (156, 493)
(6, 1, 0, (1, 1, 0), -2): (261, 644)
(6, 1, 0, (1, 1, 0), -1): (419, 698)
(6, 1, 0, (1, 1, 0), 0): (502, 694)
(6, 1, 0, (1, 1, 0), 1): (527, 629)
(6, 1, 0, (1, 1, 0), 2): (478, 527)
(6, 1, 0, (1, 1, 0), 3): (362, 373)
(6, 1, 0, (1, 1, 0), 4): (276, 281)
(6, 1, 0, (1, 1, 0), 5): (199, 203)
(6, 1, 0, (1, 1, 0), 6): (154, 154)
(6, 1, 0, (1, 1, 0), 7): (85, 85)
(6, 1, 0, (1, 1, 0), 8): (60, 60)
(6, 1, 0, (1, 1, 0), 9): (36, 36)
(6, 1, 0, (1, 1, 0), 10): (19, 19)
(6, 1, 0, (1, 1, 0), 11): (12, 12)
(6, 1, 0, (1, 1, 0), 12): (5, 5)
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(6, 1, 0, (1, 1, 0), 14): (1, 1)
(6, 1, 0, (1, 1, 0), 15): (1, 1)
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(6, 1, 0, (1, 1, 1), -12): (0, 2)
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(6, 1, 0, (1, 1, 1), -10): (0, 2)
(6, 1, 0, (1, 1, 1), -8): (0, 7)
(6, 1, 0, (1, 1, 1), -7): (2, 11)
(6, 1, 0, (1, 1, 1), -6): (3, 27)
(6, 1, 0, (1, 1, 1), -5): (7, 43)
(6, 1, 0, (1, 1, 1), -4): (25, 68)
(6, 1, 0, (1, 1, 1), -3): (42, 99)
(6, 1, 0, (1, 1, 1), -2): (73, 151)
(6, 1, 0, (1, 1, 1), -1): (121, 174)
(6, 1, 0, (1, 1, 1), 0): (153, 195)
(6, 1, 0, (1, 1, 1), 1): (160, 183)
(6, 1, 0, (1, 1, 1), 2): (146, 149)
(6, 1, 0, (1, 1, 1), 3): (106, 107)
(6, 1, 0, (1, 1, 1), 4): (95, 95)
(6, 1, 0, (1, 1, 1), 5): (54, 54)
(6, 1, 0, (1, 1, 1), 6): (47, 47)
(6, 1, 0, (1, 1, 1), 7): (26, 26)
(6, 1, 0, (1, 1, 1), 8): (13, 13)
(6, 1, 0, (1, 1, 1), 9): (15, 15)
(6, 1, 0, (1, 1, 1), 10): (5, 5)
(6, 1, 0, (1, 1, 1), 11): (5, 5)
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(6, 1, 1, (0, 0, 0), -19): (0, 2)
(6, 1, 1, (0, 0, 0), -17): (0, 3)
(6, 1, 1, (0, 0, 0), -16): (0, 10)
(6, 1, 1, (0, 0, 0), -15): (0, 11)
(6, 1, 1, (0, 0, 0), -14): (0, 20)
(6, 1, 1, (0, 0, 0), -13): (0, 45)
(6, 1, 1, (0, 0, 0), -12): (1, 62)
(6, 1, 1, (0, 0, 0), -11): (0, 126)
(6, 1, 1, (0, 0, 0), -10): (0, 212)
(6, 1, 1, (0, 0, 0), -9): (2, 326)
(6, 1, 1, (0, 0, 0), -8): (3, 553)
(6, 1, 1, (0, 0, 0), -7): (14, 921)
(6, 1, 1, (0, 0, 0), -6): (33, 1442)
(6, 1, 1, (0, 0, 0), -5): (86, 2389)
(6, 1, 1, (0, 0, 0), -4): (245, 3518)
(6, 1, 1, (0, 0, 0), -3): (671, 5089)
(6, 1, 1, (0, 0, 0), -2): (1559, 6778)
(6, 1, 1, (0, 0, 0), -1): (3067, 8639)
(6, 1, 1, (0, 0, 0), 0): (5499, 9821)
(6, 1, 1, (0, 0, 0), 1): (6293, 8398)
(6, 1, 1, (0, 0, 0), 2): (5555, 6445)
(6, 1, 1, (0, 0, 0), 3): (4435, 4767)
(6, 1, 1, (0, 0, 0), 4): (3265, 3398)
(6, 1, 1, (0, 0, 0), 5): (2124, 2183)
(6, 1, 1, (0, 0, 0), 6): (1394, 1401)
(6, 1, 1, (0, 0, 0), 7): (884, 888)
(6, 1, 1, (0, 0, 0), 8): (516, 517)
(6, 1, 1, (0, 0, 0), 9): (318, 319)
(6, 1, 1, (0, 0, 0), 10): (205, 205)
(6, 1, 1, (0, 0, 0), 11): (116, 116)
(6, 1, 1, (0, 0, 0), 12): (61, 61)
(6, 1, 1, (0, 0, 0), 13): (32, 32)
(6, 1, 1, (0, 0, 0), 14): (21, 21)
(6, 1, 1, (0, 0, 0), 15): (6, 6)
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(6, 1, 1, (0, 0, 1), -11): (0, 8)
(6, 1, 1, (0, 0, 1), -10): (0, 12)
(6, 1, 1, (0, 0, 1), -9): (0, 9)
(6, 1, 1, (0, 0, 1), -8): (0, 22)
(6, 1, 1, (0, 0, 1), -7): (0, 28)
(6, 1, 1, (0, 0, 1), -6): (4, 61)
(6, 1, 1, (0, 0, 1), -5): (3, 89)
(6, 1, 1, (0, 0, 1), -4): (13, 163)
(6, 1, 1, (0, 0, 1), -3): (48, 252)
(6, 1, 1, (0, 0, 1), -2): (117, 365)
(6, 1, 1, (0, 0, 1), -1): (269, 521)
(6, 1, 1, (0, 0, 1), 0): (440, 637)
(6, 1, 1, (0, 0, 1), 1): (556, 675)
(6, 1, 1, (0, 0, 1), 2): (431, 475)
(6, 1, 1, (0, 0, 1), 3): (360, 380)
(6, 1, 1, (0, 0, 1), 4): (305, 310)
(6, 1, 1, (0, 0, 1), 5): (210, 217)
(6, 1, 1, (0, 0, 1), 6): (121, 123)
(6, 1, 1, (0, 0, 1), 7): (68, 68)
(6, 1, 1, (0, 0, 1), 8): (44, 44)
(6, 1, 1, (0, 0, 1), 9): (26, 26)
(6, 1, 1, (0, 0, 1), 10): (16, 16)
(6, 1, 1, (0, 0, 1), 11): (8, 8)
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(6, 1, 1, (0, 1, 0), -13): (0, 4)
(6, 1, 1, (0, 1, 0), -12): (0, 9)
(6, 1, 1, (0, 1, 0), -11): (0, 14)
(6, 1, 1, (0, 1, 0), -10): (0, 29)
(6, 1, 1, (0, 1, 0), -9): (0, 47)
(6, 1, 1, (0, 1, 0), -8): (0, 77)
(6, 1, 1, (0, 1, 0), -7): (5, 137)
(6, 1, 1, (0, 1, 0), -6): (6, 200)
(6, 1, 1, (0, 1, 0), -5): (14, 326)
(6, 1, 1, (0, 1, 0), -4): (55, 501)
(6, 1, 1, (0, 1, 0), -3): (120, 719)
(6, 1, 1, (0, 1, 0), -2): (289, 986)
(6, 1, 1, (0, 1, 0), -1): (700, 1620)
(6, 1, 1, (0, 1, 0), 0): (1303, 2083)
(6, 1, 1, (0, 1, 0), 1): (1356, 1729)
(6, 1, 1, (0, 1, 0), 2): (1247, 1417)
(6, 1, 1, (0, 1, 0), 3): (1035, 1098)
(6, 1, 1, (0, 1, 0), 4): (770, 787)
(6, 1, 1, (0, 1, 0), 5): (566, 581)
(6, 1, 1, (0, 1, 0), 6): (309, 312)
(6, 1, 1, (0, 1, 0), 7): (198, 200)
(6, 1, 1, (0, 1, 0), 8): (112, 112)
(6, 1, 1, (0, 1, 0), 9): (73, 73)
(6, 1, 1, (0, 1, 0), 10): (48, 48)
(6, 1, 1, (0, 1, 0), 11): (23, 23)
(6, 1, 1, (0, 1, 0), 12): (17, 17)
(6, 1, 1, (0, 1, 0), 13): (8, 8)
(6, 1, 1, (0, 1, 0), 14): (6, 6)
(6, 1, 1, (0, 1, 0), 15): (7, 7)
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(6, 1, 1, (0, 1, 1), -13): (0, 1)
(6, 1, 1, (0, 1, 1), -12): (0, 5)
(6, 1, 1, (0, 1, 1), -11): (0, 5)
(6, 1, 1, (0, 1, 1), -10): (0, 9)
(6, 1, 1, (0, 1, 1), -9): (0, 15)
(6, 1, 1, (0, 1, 1), -8): (1, 23)
(6, 1, 1, (0, 1, 1), -7): (2, 36)
(6, 1, 1, (0, 1, 1), -6): (3, 58)
(6, 1, 1, (0, 1, 1), -5): (6, 89)
(6, 1, 1, (0, 1, 1), -4): (22, 130)
(6, 1, 1, (0, 1, 1), -3): (75, 217)
(6, 1, 1, (0, 1, 1), -2): (145, 360)
(6, 1, 1, (0, 1, 1), -1): (263, 454)
(6, 1, 1, (0, 1, 1), 0): (354, 494)
(6, 1, 1, (0, 1, 1), 1): (446, 527)
(6, 1, 1, (0, 1, 1), 2): (377, 421)
(6, 1, 1, (0, 1, 1), 3): (318, 337)
(6, 1, 1, (0, 1, 1), 4): (248, 252)
(6, 1, 1, (0, 1, 1), 5): (171, 173)
(6, 1, 1, (0, 1, 1), 6): (117, 119)
(6, 1, 1, (0, 1, 1), 7): (63, 63)
(6, 1, 1, (0, 1, 1), 8): (46, 46)
(6, 1, 1, (0, 1, 1), 9): (37, 38)
(6, 1, 1, (0, 1, 1), 10): (18, 18)
(6, 1, 1, (0, 1, 1), 11): (12, 12)
(6, 1, 1, (0, 1, 1), 12): (9, 9)
(6, 1, 1, (0, 1, 1), 13): (4, 4)
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(6, 1, 1, (0, 1, 1), 15): (2, 2)
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(6, 1, 1, (1, 0, 0), -17): (0, 1)
(6, 1, 1, (1, 0, 0), -16): (0, 5)
(6, 1, 1, (1, 0, 0), -15): (0, 5)
(6, 1, 1, (1, 0, 0), -14): (0, 9)
(6, 1, 1, (1, 0, 0), -13): (0, 28)
(6, 1, 1, (1, 0, 0), -12): (0, 31)
(6, 1, 1, (1, 0, 0), -11): (0, 57)
(6, 1, 1, (1, 0, 0), -10): (0, 89)
(6, 1, 1, (1, 0, 0), -9): (1, 145)
(6, 1, 1, (1, 0, 0), -8): (1, 235)
(6, 1, 1, (1, 0, 0), -7): (6, 380)
(6, 1, 1, (1, 0, 0), -6): (24, 638)
(6, 1, 1, (1, 0, 0), -5): (62, 976)
(6, 1, 1, (1, 0, 0), -4): (142, 1537)
(6, 1, 1, (1, 0, 0), -3): (363, 2181)
(6, 1, 1, (1, 0, 0), -2): (839, 2936)
(6, 1, 1, (1, 0, 0), -1): (1413, 3535)
(6, 1, 1, (1, 0, 0), 0): (2376, 3916)
(6, 1, 1, (1, 0, 0), 1): (2668, 3448)
(6, 1, 1, (1, 0, 0), 2): (2375, 2728)
(6, 1, 1, (1, 0, 0), 3): (1908, 2049)
(6, 1, 1, (1, 0, 0), 4): (1415, 1470)
(6, 1, 1, (1, 0, 0), 5): (961, 979)
(6, 1, 1, (1, 0, 0), 6): (627, 631)
(6, 1, 1, (1, 0, 0), 7): (434, 438)
(6, 1, 1, (1, 0, 0), 8): (253, 254)
(6, 1, 1, (1, 0, 0), 9): (178, 179)
(6, 1, 1, (1, 0, 0), 10): (112, 113)
(6, 1, 1, (1, 0, 0), 11): (61, 61)
(6, 1, 1, (1, 0, 0), 12): (23, 23)
(6, 1, 1, (1, 0, 0), 13): (14, 14)
(6, 1, 1, (1, 0, 0), 14): (11, 11)
(6, 1, 1, (1, 0, 0), 15): (3, 3)
(6, 1, 1, (1, 0, 0), 16): (1, 1)
(6, 1, 1, (1, 0, 0), 17): (1, 1)
(6, 1, 1, (1, 0, 1), -19): (0, 1)
(6, 1, 1, (1, 0, 1), -15): (0, 1)
(6, 1, 1, (1, 0, 1), -14): (0, 1)
(6, 1, 1, (1, 0, 1), -13): (0, 1)
(6, 1, 1, (1, 0, 1), -12): (0, 3)
(6, 1, 1, (1, 0, 1), -11): (0, 10)
(6, 1, 1, (1, 0, 1), -10): (0, 16)
(6, 1, 1, (1, 0, 1), -9): (0, 24)
(6, 1, 1, (1, 0, 1), -8): (0, 28)
(6, 1, 1, (1, 0, 1), -7): (0, 36)
(6, 1, 1, (1, 0, 1), -6): (2, 70)
(6, 1, 1, (1, 0, 1), -5): (9, 110)
(6, 1, 1, (1, 0, 1), -4): (29, 194)
(6, 1, 1, (1, 0, 1), -3): (79, 274)
(6, 1, 1, (1, 0, 1), -2): (168, 417)
(6, 1, 1, (1, 0, 1), -1): (302, 568)
(6, 1, 1, (1, 0, 1), 0): (490, 708)
(6, 1, 1, (1, 0, 1), 1): (568, 685)
(6, 1, 1, (1, 0, 1), 2): (455, 501)
(6, 1, 1, (1, 0, 1), 3): (399, 420)
(6, 1, 1, (1, 0, 1), 4): (284, 289)
(6, 1, 1, (1, 0, 1), 5): (195, 199)
(6, 1, 1, (1, 0, 1), 6): (168, 168)
(6, 1, 1, (1, 0, 1), 7): (83, 84)
(6, 1, 1, (1, 0, 1), 8): (53, 53)
(6, 1, 1, (1, 0, 1), 9): (27, 27)
(6, 1, 1, (1, 0, 1), 10): (28, 28)
(6, 1, 1, (1, 0, 1), 11): (15, 15)
(6, 1, 1, (1, 0, 1), 12): (7, 7)
(6, 1, 1, (1, 0, 1), 13): (2, 2)
(6, 1, 1, (1, 0, 1), 14): (2, 2)
(6, 1, 1, (1, 0, 1), 15): (2, 2)
(6, 1, 1, (1, 0, 1), 16): (1, 1)
(6, 1, 1, (1, 0, 1), 17): (1, 1)
(6, 1, 1, (1, 1, 0), -16): (0, 4)
(6, 1, 1, (1, 1, 0), -15): (0, 1)
(6, 1, 1, (1, 1, 0), -14): (0, 2)
(6, 1, 1, (1, 1, 0), -13): (0, 6)
(6, 1, 1, (1, 1, 0), -12): (0, 13)
(6, 1, 1, (1, 1, 0), -11): (0, 15)
(6, 1, 1, (1, 1, 0), -10): (0, 29)
(6, 1, 1, (1, 1, 0), -9): (0, 45)
(6, 1, 1, (1, 1, 0), -8): (0, 75)
(6, 1, 1, (1, 1, 0), -7): (5, 144)
(6, 1, 1, (1, 1, 0), -6): (16, 246)
(6, 1, 1, (1, 1, 0), -5): (40, 377)
(6, 1, 1, (1, 1, 0), -4): (72, 571)
(6, 1, 1, (1, 1, 0), -3): (161, 774)
(6, 1, 1, (1, 1, 0), -2): (357, 996)
(6, 1, 1, (1, 1, 0), -1): (590, 1224)
(6, 1, 1, (1, 1, 0), 0): (945, 1443)
(6, 1, 1, (1, 1, 0), 1): (1036, 1268)
(6, 1, 1, (1, 1, 0), 2): (921, 1038)
(6, 1, 1, (1, 1, 0), 3): (780, 828)
(6, 1, 1, (1, 1, 0), 4): (532, 555)
(6, 1, 1, (1, 1, 0), 5): (449, 457)
(6, 1, 1, (1, 1, 0), 6): (305, 306)
(6, 1, 1, (1, 1, 0), 7): (208, 210)
(6, 1, 1, (1, 1, 0), 8): (117, 118)
(6, 1, 1, (1, 1, 0), 9): (76, 77)
(6, 1, 1, (1, 1, 0), 10): (47, 47)
(6, 1, 1, (1, 1, 0), 11): (32, 32)
(6, 1, 1, (1, 1, 0), 12): (24, 24)
(6, 1, 1, (1, 1, 0), 13): (5, 5)
(6, 1, 1, (1, 1, 0), 14): (3, 3)
(6, 1, 1, (1, 1, 0), 15): (3, 3)
(6, 1, 1, (1, 1, 0), 16): (3, 3)
(6, 1, 1, (1, 1, 0), 17): (1, 1)
(6, 1, 1, (1, 1, 1), -16): (0, 2)
(6, 1, 1, (1, 1, 1), -13): (0, 3)
(6, 1, 1, (1, 1, 1), -12): (0, 4)
(6, 1, 1, (1, 1, 1), -11): (0, 2)
(6, 1, 1, (1, 1, 1), -10): (0, 4)
(6, 1, 1, (1, 1, 1), -9): (0, 5)
(6, 1, 1, (1, 1, 1), -8): (0, 23)
(6, 1, 1, (1, 1, 1), -7): (1, 30)
(6, 1, 1, (1, 1, 1), -6): (7, 63)
(6, 1, 1, (1, 1, 1), -5): (14, 90)
(6, 1, 1, (1, 1, 1), -4): (21, 127)
(6, 1, 1, (1, 1, 1), -3): (70, 216)
(6, 1, 1, (1, 1, 1), -2): (129, 283)
(6, 1, 1, (1, 1, 1), -1): (244, 421)
(6, 1, 1, (1, 1, 1), 0): (444, 614)
(6, 1, 1, (1, 1, 1), 1): (488, 576)
(6, 1, 1, (1, 1, 1), 2): (498, 531)
(6, 1, 1, (1, 1, 1), 3): (364, 381)
(6, 1, 1, (1, 1, 1), 4): (242, 244)
(6, 1, 1, (1, 1, 1), 5): (177, 179)
(6, 1, 1, (1, 1, 1), 6): (140, 140)
(6, 1, 1, (1, 1, 1), 7): (81, 81)
(6, 1, 1, (1, 1, 1), 8): (45, 45)
(6, 1, 1, (1, 1, 1), 9): (33, 33)
(6, 1, 1, (1, 1, 1), 10): (11, 11)
(6, 1, 1, (1, 1, 1), 11): (11, 11)
(6, 1, 1, (1, 1, 1), 12): (13, 13)
(6, 1, 1, (1, 1, 1), 13): (5, 5)
(6, 1, 1, (1, 1, 1), 14): (3, 3)
(6, 1, 1, (1, 1, 1), 18): (1, 1)
(6, 1, 2, (0, 0, 0), -20): (0, 2)
(6, 1, 2, (0, 0, 0), -19): (0, 1)
(6, 1, 2, (0, 0, 0), -17): (0, 2)
(6, 1, 2, (0, 0, 0), -16): (0, 4)
(6, 1, 2, (0, 0, 0), -15): (0, 7)
(6, 1, 2, (0, 0, 0), -14): (0, 13)
(6, 1, 2, (0, 0, 0), -13): (0, 32)
(6, 1, 2, (0, 0, 0), -12): (1, 48)
(6, 1, 2, (0, 0, 0), -11): (0, 88)
(6, 1, 2, (0, 0, 0), -10): (0, 149)
(6, 1, 2, (0, 0, 0), -9): (1, 249)
(6, 1, 2, (0, 0, 0), -8): (2, 437)
(6, 1, 2, (0, 0, 0), -7): (7, 691)
(6, 1, 2, (0, 0, 0), -6): (20, 1098)
(6, 1, 2, (0, 0, 0), -5): (55, 1839)
(6, 1, 2, (0, 0, 0), -4): (143, 2594)
(6, 1, 2, (0, 0, 0), -3): (415, 3834)
(6, 1, 2, (0, 0, 0), -2): (1015, 5135)
(6, 1, 2, (0, 0, 0), -1): (2126, 6617)
(6, 1, 2, (0, 0, 0), 0): (4097, 7660)
(6, 1, 2, (0, 0, 0), 1): (4916, 6703)
(6, 1, 2, (0, 0, 0), 2): (4522, 5284)
(6, 1, 2, (0, 0, 0), 3): (3662, 3975)
(6, 1, 2, (0, 0, 0), 4): (2631, 2746)
(6, 1, 2, (0, 0, 0), 5): (1782, 1840)
(6, 1, 2, (0, 0, 0), 6): (1221, 1234)
(6, 1, 2, (0, 0, 0), 7): (766, 769)
(6, 1, 2, (0, 0, 0), 8): (467, 467)
(6, 1, 2, (0, 0, 0), 9): (274, 274)
(6, 1, 2, (0, 0, 0), 10): (184, 184)
(6, 1, 2, (0, 0, 0), 11): (112, 112)
(6, 1, 2, (0, 0, 0), 12): (65, 65)
(6, 1, 2, (0, 0, 0), 13): (35, 35)
(6, 1, 2, (0, 0, 0), 14): (15, 15)
(6, 1, 2, (0, 0, 0), 15): (10, 10)
(6, 1, 2, (0, 0, 0), 16): (5, 5)
(6, 1, 2, (0, 0, 0), 17): (3, 3)
(6, 1, 2, (0, 0, 0), 18): (1, 1)
(6, 1, 2, (0, 0, 0), 21): (1, 1)
(6, 1, 2, (0, 0, 1), -19): (0, 1)
(6, 1, 2, (0, 0, 1), -17): (0, 1)
(6, 1, 2, (0, 0, 1), -14): (0, 1)
(6, 1, 2, (0, 0, 1), -13): (0, 1)
(6, 1, 2, (0, 0, 1), -12): (0, 6)
(6, 1, 2, (0, 0, 1), -11): (0, 8)
(6, 1, 2, (0, 0, 1), -10): (0, 11)
(6, 1, 2, (0, 0, 1), -9): (0, 20)
(6, 1, 2, (0, 0, 1), -8): (0, 37)
(6, 1, 2, (0, 0, 1), -7): (1, 65)
(6, 1, 2, (0, 0, 1), -6): (1, 87)
(6, 1, 2, (0, 0, 1), -5): (4, 151)
(6, 1, 2, (0, 0, 1), -4): (18, 244)
(6, 1, 2, (0, 0, 1), -3): (49, 359)
(6, 1, 2, (0, 0, 1), -2): (121, 508)
(6, 1, 2, (0, 0, 1), -1): (284, 730)
(6, 1, 2, (0, 0, 1), 0): (507, 893)
(6, 1, 2, (0, 0, 1), 1): (631, 827)
(6, 1, 2, (0, 0, 1), 2): (576, 664)
(6, 1, 2, (0, 0, 1), 3): (520, 559)
(6, 1, 2, (0, 0, 1), 4): (424, 436)
(6, 1, 2, (0, 0, 1), 5): (278, 291)
(6, 1, 2, (0, 0, 1), 6): (190, 192)
(6, 1, 2, (0, 0, 1), 7): (105, 105)
(6, 1, 2, (0, 0, 1), 8): (84, 85)
(6, 1, 2, (0, 0, 1), 9): (42, 42)
(6, 1, 2, (0, 0, 1), 10): (34, 35)
(6, 1, 2, (0, 0, 1), 11): (16, 16)
(6, 1, 2, (0, 0, 1), 12): (13, 13)
(6, 1, 2, (0, 0, 1), 13): (3, 3)
(6, 1, 2, (0, 0, 1), 14): (3, 3)
(6, 1, 2, (0, 0, 1), 15): (1, 1)
(6, 1, 2, (0, 0, 1), 16): (2, 2)
(6, 1, 2, (0, 1, 0), -19): (0, 1)
(6, 1, 2, (0, 1, 0), -15): (0, 1)
(6, 1, 2, (0, 1, 0), -14): (0, 2)
(6, 1, 2, (0, 1, 0), -13): (0, 6)
(6, 1, 2, (0, 1, 0), -12): (0, 9)
(6, 1, 2, (0, 1, 0), -11): (0, 21)
(6, 1, 2, (0, 1, 0), -10): (0, 40)
(6, 1, 2, (0, 1, 0), -9): (1, 62)
(6, 1, 2, (0, 1, 0), -8): (1, 87)
(6, 1, 2, (0, 1, 0), -7): (3, 128)
(6, 1, 2, (0, 1, 0), -6): (1, 249)
(6, 1, 2, (0, 1, 0), -5): (15, 374)
(6, 1, 2, (0, 1, 0), -4): (46, 603)
(6, 1, 2, (0, 1, 0), -3): (105, 839)
(6, 1, 2, (0, 1, 0), -2): (291, 1220)
(6, 1, 2, (0, 1, 0), -1): (660, 1775)
(6, 1, 2, (0, 1, 0), 0): (1257, 2180)
(6, 1, 2, (0, 1, 0), 1): (1516, 2000)
(6, 1, 2, (0, 1, 0), 2): (1584, 1842)
(6, 1, 2, (0, 1, 0), 3): (1349, 1434)
(6, 1, 2, (0, 1, 0), 4): (965, 999)
(6, 1, 2, (0, 1, 0), 5): (740, 754)
(6, 1, 2, (0, 1, 0), 6): (434, 436)
(6, 1, 2, (0, 1, 0), 7): (279, 279)
(6, 1, 2, (0, 1, 0), 8): (192, 192)
(6, 1, 2, (0, 1, 0), 9): (120, 120)
(6, 1, 2, (0, 1, 0), 10): (70, 70)
(6, 1, 2, (0, 1, 0), 11): (45, 45)
(6, 1, 2, (0, 1, 0), 12): (17, 17)
(6, 1, 2, (0, 1, 0), 13): (9, 9)
(6, 1, 2, (0, 1, 0), 14): (5, 5)
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(6, 1, 2, (0, 1, 0), 16): (3, 3)
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(6, 1, 2, (0, 1, 1), -14): (0, 1)
(6, 1, 2, (0, 1, 1), -13): (0, 4)
(6, 1, 2, (0, 1, 1), -12): (0, 2)
(6, 1, 2, (0, 1, 1), -11): (0, 2)
(6, 1, 2, (0, 1, 1), -10): (0, 9)
(6, 1, 2, (0, 1, 1), -9): (0, 13)
(6, 1, 2, (0, 1, 1), -8): (0, 28)
(6, 1, 2, (0, 1, 1), -7): (0, 42)
(6, 1, 2, (0, 1, 1), -6): (0, 46)
(6, 1, 2, (0, 1, 1), -5): (6, 104)
(6, 1, 2, (0, 1, 1), -4): (11, 148)
(6, 1, 2, (0, 1, 1), -3): (44, 224)
(6, 1, 2, (0, 1, 1), -2): (97, 337)
(6, 1, 2, (0, 1, 1), -1): (177, 405)
(6, 1, 2, (0, 1, 1), 0): (285, 440)
(6, 1, 2, (0, 1, 1), 1): (389, 495)
(6, 1, 2, (0, 1, 1), 2): (390, 442)
(6, 1, 2, (0, 1, 1), 3): (344, 373)
(6, 1, 2, (0, 1, 1), 4): (278, 289)
(6, 1, 2, (0, 1, 1), 5): (191, 192)
(6, 1, 2, (0, 1, 1), 6): (148, 150)
(6, 1, 2, (0, 1, 1), 7): (74, 74)
(6, 1, 2, (0, 1, 1), 8): (52, 52)
(6, 1, 2, (0, 1, 1), 9): (42, 42)
(6, 1, 2, (0, 1, 1), 10): (21, 21)
(6, 1, 2, (0, 1, 1), 11): (15, 15)
(6, 1, 2, (0, 1, 1), 12): (8, 8)
(6, 1, 2, (0, 1, 1), 13): (6, 6)
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(6, 1, 2, (1, 0, 0), -17): (0, 2)
(6, 1, 2, (1, 0, 0), -16): (0, 1)
(6, 1, 2, (1, 0, 0), -15): (0, 4)
(6, 1, 2, (1, 0, 0), -14): (0, 9)
(6, 1, 2, (1, 0, 0), -13): (0, 26)
(6, 1, 2, (1, 0, 0), -12): (0, 18)
(6, 1, 2, (1, 0, 0), -11): (0, 51)
(6, 1, 2, (1, 0, 0), -10): (0, 90)
(6, 1, 2, (1, 0, 0), -9): (0, 131)
(6, 1, 2, (1, 0, 0), -8): (1, 259)
(6, 1, 2, (1, 0, 0), -7): (4, 365)
(6, 1, 2, (1, 0, 0), -6): (13, 589)
(6, 1, 2, (1, 0, 0), -5): (37, 910)
(6, 1, 2, (1, 0, 0), -4): (91, 1412)
(6, 1, 2, (1, 0, 0), -3): (269, 2029)
(6, 1, 2, (1, 0, 0), -2): (613, 2770)
(6, 1, 2, (1, 0, 0), -1): (1160, 3407)
(6, 1, 2, (1, 0, 0), 0): (2168, 3862)
(6, 1, 2, (1, 0, 0), 1): (2569, 3467)
(6, 1, 2, (1, 0, 0), 2): (2399, 2760)
(6, 1, 2, (1, 0, 0), 3): (1907, 2071)
(6, 1, 2, (1, 0, 0), 4): (1475, 1526)
(6, 1, 2, (1, 0, 0), 5): (1049, 1084)
(6, 1, 2, (1, 0, 0), 6): (737, 744)
(6, 1, 2, (1, 0, 0), 7): (500, 503)
(6, 1, 2, (1, 0, 0), 8): (344, 345)
(6, 1, 2, (1, 0, 0), 9): (208, 208)
(6, 1, 2, (1, 0, 0), 10): (137, 138)
(6, 1, 2, (1, 0, 0), 11): (75, 75)
(6, 1, 2, (1, 0, 0), 12): (36, 36)
(6, 1, 2, (1, 0, 0), 13): (23, 23)
(6, 1, 2, (1, 0, 0), 14): (9, 9)
(6, 1, 2, (1, 0, 0), 15): (6, 6)
(6, 1, 2, (1, 0, 0), 17): (2, 2)
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(6, 1, 2, (1, 0, 1), -14): (0, 2)
(6, 1, 2, (1, 0, 1), -13): (0, 1)
(6, 1, 2, (1, 0, 1), -12): (0, 6)
(6, 1, 2, (1, 0, 1), -11): (0, 7)
(6, 1, 2, (1, 0, 1), -10): (0, 21)
(6, 1, 2, (1, 0, 1), -9): (0, 21)
(6, 1, 2, (1, 0, 1), -8): (0, 28)
(6, 1, 2, (1, 0, 1), -7): (1, 51)
(6, 1, 2, (1, 0, 1), -6): (3, 116)
(6, 1, 2, (1, 0, 1), -5): (9, 183)
(6, 1, 2, (1, 0, 1), -4): (18, 294)
(6, 1, 2, (1, 0, 1), -3): (50, 342)
(6, 1, 2, (1, 0, 1), -2): (158, 532)
(6, 1, 2, (1, 0, 1), -1): (280, 676)
(6, 1, 2, (1, 0, 1), 0): (554, 903)
(6, 1, 2, (1, 0, 1), 1): (678, 866)
(6, 1, 2, (1, 0, 1), 2): (691, 776)
(6, 1, 2, (1, 0, 1), 3): (541, 571)
(6, 1, 2, (1, 0, 1), 4): (401, 410)
(6, 1, 2, (1, 0, 1), 5): (329, 338)
(6, 1, 2, (1, 0, 1), 6): (241, 245)
(6, 1, 2, (1, 0, 1), 7): (129, 133)
(6, 1, 2, (1, 0, 1), 8): (89, 89)
(6, 1, 2, (1, 0, 1), 9): (57, 57)
(6, 1, 2, (1, 0, 1), 10): (36, 36)
(6, 1, 2, (1, 0, 1), 11): (18, 18)
(6, 1, 2, (1, 0, 1), 12): (13, 13)
(6, 1, 2, (1, 0, 1), 13): (5, 5)
(6, 1, 2, (1, 0, 1), 14): (5, 5)
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(6, 1, 2, (1, 0, 1), 16): (4, 4)
(6, 1, 2, (1, 0, 1), 19): (1, 1)
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(6, 1, 2, (1, 1, 0), -15): (0, 1)
(6, 1, 2, (1, 1, 0), -14): (0, 1)
(6, 1, 2, (1, 1, 0), -13): (0, 7)
(6, 1, 2, (1, 1, 0), -12): (0, 12)
(6, 1, 2, (1, 1, 0), -11): (0, 22)
(6, 1, 2, (1, 1, 0), -10): (0, 39)
(6, 1, 2, (1, 1, 0), -9): (0, 43)
(6, 1, 2, (1, 1, 0), -8): (0, 74)
(6, 1, 2, (1, 1, 0), -7): (3, 153)
(6, 1, 2, (1, 1, 0), -6): (7, 239)
(6, 1, 2, (1, 1, 0), -5): (25, 402)
(6, 1, 2, (1, 1, 0), -4): (54, 601)
(6, 1, 2, (1, 1, 0), -3): (117, 811)
(6, 1, 2, (1, 1, 0), -2): (315, 1154)
(6, 1, 2, (1, 1, 0), -1): (589, 1482)
(6, 1, 2, (1, 1, 0), 0): (1113, 1879)
(6, 1, 2, (1, 1, 0), 1): (1340, 1751)
(6, 1, 2, (1, 1, 0), 2): (1252, 1453)
(6, 1, 2, (1, 1, 0), 3): (1066, 1145)
(6, 1, 2, (1, 1, 0), 4): (805, 834)
(6, 1, 2, (1, 1, 0), 5): (575, 587)
(6, 1, 2, (1, 1, 0), 6): (410, 413)
(6, 1, 2, (1, 1, 0), 7): (291, 293)
(6, 1, 2, (1, 1, 0), 8): (176, 177)
(6, 1, 2, (1, 1, 0), 9): (97, 98)
(6, 1, 2, (1, 1, 0), 10): (75, 75)
(6, 1, 2, (1, 1, 0), 11): (39, 39)
(6, 1, 2, (1, 1, 0), 12): (23, 23)
(6, 1, 2, (1, 1, 0), 13): (16, 16)
(6, 1, 2, (1, 1, 0), 14): (6, 6)
(6, 1, 2, (1, 1, 0), 15): (5, 5)
(6, 1, 2, (1, 1, 0), 16): (2, 2)
(6, 1, 2, (1, 1, 0), 17): (3, 3)
(6, 1, 2, (1, 1, 0), 20): (1, 1)
(6, 1, 2, (1, 1, 1), -14): (0, 1)
(6, 1, 2, (1, 1, 1), -13): (0, 2)
(6, 1, 2, (1, 1, 1), -12): (0, 1)
(6, 1, 2, (1, 1, 1), -11): (0, 2)
(6, 1, 2, (1, 1, 1), -10): (0, 8)
(6, 1, 2, (1, 1, 1), -9): (0, 12)
(6, 1, 2, (1, 1, 1), -8): (0, 19)
(6, 1, 2, (1, 1, 1), -7): (0, 40)
(6, 1, 2, (1, 1, 1), -6): (2, 56)
(6, 1, 2, (1, 1, 1), -5): (9, 113)
(6, 1, 2, (1, 1, 1), -4): (14, 134)
(6, 1, 2, (1, 1, 1), -3): (43, 224)
(6, 1, 2, (1, 1, 1), -2): (115, 351)
(6, 1, 2, (1, 1, 1), -1): (242, 517)
(6, 1, 2, (1, 1, 1), 0): (467, 746)
(6, 1, 2, (1, 1, 1), 1): (511, 650)
(6, 1, 2, (1, 1, 1), 2): (538, 602)
(6, 1, 2, (1, 1, 1), 3): (405, 428)
(6, 1, 2, (1, 1, 1), 4): (303, 313)
(6, 1, 2, (1, 1, 1), 5): (223, 229)
(6, 1, 2, (1, 1, 1), 6): (176, 176)
(6, 1, 2, (1, 1, 1), 7): (97, 97)
(6, 1, 2, (1, 1, 1), 8): (80, 80)
(6, 1, 2, (1, 1, 1), 9): (40, 40)
(6, 1, 2, (1, 1, 1), 10): (25, 25)
(6, 1, 2, (1, 1, 1), 11): (19, 19)
(6, 1, 2, (1, 1, 1), 12): (14, 14)
(6, 1, 2, (1, 1, 1), 13): (6, 6)
(6, 1, 2, (1, 1, 1), 14): (5, 5)
(6, 1, 2, (1, 1, 1), 16): (2, 2)
(6, 1, 2, (1, 1, 1), 17): (1, 1)
(7, 0, 0, (0, 0, 0), -21): (0, 1)
(7, 0, 0, (0, 0, 0), -20): (0, 2)
(7, 0, 0, (0, 0, 0), -19): (0, 1)
(7, 0, 0, (0, 0, 0), -18): (0, 2)
(7, 0, 0, (0, 0, 0), -17): (0, 6)
(7, 0, 0, (0, 0, 0), -16): (0, 12)
(7, 0, 0, (0, 0, 0), -15): (0, 20)
(7, 0, 0, (0, 0, 0), -14): (0, 36)
(7, 0, 0, (0, 0, 0), -13): (0, 75)
(7, 0, 0, (0, 0, 0), -12): (0, 129)
(7, 0, 0, (0, 0, 0), -11): (0, 254)
(7, 0, 0, (0, 0, 0), -10): (2, 422)
(7, 0, 0, (0, 0, 0), -9): (1, 637)
(7, 0, 0, (0, 0, 0), -8): (2, 1029)
(7, 0, 0, (0, 0, 0), -7): (11, 1582)
(7, 0, 0, (0, 0, 0), -6): (26, 2503)
(7, 0, 0, (0, 0, 0), -5): (110, 3708)
(7, 0, 0, (0, 0, 0), -4): (223, 5286)
(7, 0, 0, (0, 0, 0), -3): (605, 7491)
(7, 0, 0, (0, 0, 0), -2): (1476, 9678)
(7, 0, 0, (0, 0, 0), -1): (3226, 11737)
(7, 0, 0, (0, 0, 0), 0): (6292, 12987)
(7, 0, 0, (0, 0, 0), 1): (7823, 11244)
(7, 0, 0, (0, 0, 0), 2): (7188, 8790)
(7, 0, 0, (0, 0, 0), 3): (5841, 6469)
(7, 0, 0, (0, 0, 0), 4): (4263, 4481)
(7, 0, 0, (0, 0, 0), 5): (2956, 3044)
(7, 0, 0, (0, 0, 0), 6): (1869, 1897)
(7, 0, 0, (0, 0, 0), 7): (1172, 1183)
(7, 0, 0, (0, 0, 0), 8): (735, 736)
(7, 0, 0, (0, 0, 0), 9): (425, 425)
(7, 0, 0, (0, 0, 0), 10): (250, 250)
(7, 0, 0, (0, 0, 0), 11): (160, 160)
(7, 0, 0, (0, 0, 0), 12): (83, 84)
(7, 0, 0, (0, 0, 0), 13): (53, 53)
(7, 0, 0, (0, 0, 0), 14): (22, 22)
(7, 0, 0, (0, 0, 0), 15): (15, 15)
(7, 0, 0, (0, 0, 0), 16): (8, 8)
(7, 0, 0, (0, 0, 0), 17): (3, 3)
(7, 0, 0, (0, 0, 0), 18): (2, 2)
(7, 0, 0, (0, 0, 0), 19): (2, 2)
(7, 0, 0, (0, 0, 0), 20): (2, 2)
(7, 0, 0, (0, 0, 0), 21): (1, 1)
(7, 0, 0, (0, 0, 1), -11): (0, 1)
(7, 0, 0, (0, 0, 1), -10): (0, 6)
(7, 0, 0, (0, 0, 1), -9): (0, 6)
(7, 0, 0, (0, 0, 1), -8): (1, 6)
(7, 0, 0, (0, 0, 1), -7): (0, 10)
(7, 0, 0, (0, 0, 1), -6): (0, 23)
(7, 0, 0, (0, 0, 1), -5): (1, 31)
(7, 0, 0, (0, 0, 1), -4): (4, 48)
(7, 0, 0, (0, 0, 1), -3): (9, 58)
(7, 0, 0, (0, 0, 1), -2): (25, 88)
(7, 0, 0, (0, 0, 1), -1): (42, 110)
(7, 0, 0, (0, 0, 1), 0): (84, 131)
(7, 0, 0, (0, 0, 1), 1): (139, 166)
(7, 0, 0, (0, 0, 1), 2): (113, 133)
(7, 0, 0, (0, 0, 1), 3): (96, 103)
(7, 0, 0, (0, 0, 1), 4): (81, 86)
(7, 0, 0, (0, 0, 1), 5): (69, 70)
(7, 0, 0, (0, 0, 1), 6): (27, 29)
(7, 0, 0, (0, 0, 1), 7): (20, 20)
(7, 0, 0, (0, 0, 1), 8): (11, 11)
(7, 0, 0, (0, 0, 1), 9): (8, 8)
(7, 0, 0, (0, 0, 1), 10): (4, 4)
(7, 0, 0, (0, 0, 1), 11): (1, 1)
(7, 0, 0, (0, 0, 1), 12): (1, 1)
(7, 0, 0, (0, 0, 1), 13): (2, 2)
(7, 0, 0, (0, 0, 1), 18): (1, 1)
(7, 0, 0, (0, 1, 0), -16): (0, 2)
(7, 0, 0, (0, 1, 0), -15): (0, 1)
(7, 0, 0, (0, 1, 0), -14): (0, 3)
(7, 0, 0, (0, 1, 0), -13): (0, 1)
(7, 0, 0, (0, 1, 0), -12): (0, 5)
(7, 0, 0, (0, 1, 0), -11): (0, 16)
(7, 0, 0, (0, 1, 0), -10): (0, 30)
(7, 0, 0, (0, 1, 0), -9): (0, 45)
(7, 0, 0, (0, 1, 0), -8): (0, 44)
(7, 0, 0, (0, 1, 0), -7): (0, 95)
(7, 0, 0, (0, 1, 0), -6): (4, 147)
(7, 0, 0, (0, 1, 0), -5): (19, 216)
(7, 0, 0, (0, 1, 0), -4): (26, 308)
(7, 0, 0, (0, 1, 0), -3): (61, 435)
(7, 0, 0, (0, 1, 0), -2): (136, 547)
(7, 0, 0, (0, 1, 0), -1): (307, 758)
(7, 0, 0, (0, 1, 0), 0): (527, 851)
(7, 0, 0, (0, 1, 0), 1): (595, 798)
(7, 0, 0, (0, 1, 0), 2): (606, 702)
(7, 0, 0, (0, 1, 0), 3): (481, 519)
(7, 0, 0, (0, 1, 0), 4): (402, 412)
(7, 0, 0, (0, 1, 0), 5): (246, 254)
(7, 0, 0, (0, 1, 0), 6): (143, 143)
(7, 0, 0, (0, 1, 0), 7): (86, 87)
(7, 0, 0, (0, 1, 0), 8): (59, 59)
(7, 0, 0, (0, 1, 0), 9): (29, 29)
(7, 0, 0, (0, 1, 0), 10): (26, 26)
(7, 0, 0, (0, 1, 0), 11): (13, 13)
(7, 0, 0, (0, 1, 0), 12): (5, 5)
(7, 0, 0, (0, 1, 0), 13): (2, 2)
(7, 0, 0, (0, 1, 0), 14): (1, 1)
(7, 0, 0, (0, 1, 0), 15): (2, 2)
(7, 0, 0, (0, 1, 0), 16): (1, 1)
(7, 0, 0, (0, 1, 0), 19): (1, 1)
(7, 0, 0, (0, 1, 1), -14): (0, 1)
(7, 0, 0, (0, 1, 1), -11): (0, 3)
(7, 0, 0, (0, 1, 1), -10): (0, 4)
(7, 0, 0, (0, 1, 1), -9): (0, 7)
(7, 0, 0, (0, 1, 1), -8): (0, 12)
(7, 0, 0, (0, 1, 1), -7): (1, 15)
(7, 0, 0, (0, 1, 1), -6): (1, 31)
(7, 0, 0, (0, 1, 1), -5): (3, 48)
(7, 0, 0, (0, 1, 1), -4): (11, 72)
(7, 0, 0, (0, 1, 1), -3): (17, 107)
(7, 0, 0, (0, 1, 1), -2): (52, 132)
(7, 0, 0, (0, 1, 1), -1): (74, 136)
(7, 0, 0, (0, 1, 1), 0): (107, 148)
(7, 0, 0, (0, 1, 1), 1): (116, 142)
(7, 0, 0, (0, 1, 1), 2): (100, 111)
(7, 0, 0, (0, 1, 1), 3): (96, 100)
(7, 0, 0, (0, 1, 1), 4): (67, 69)
(7, 0, 0, (0, 1, 1), 5): (51, 52)
(7, 0, 0, (0, 1, 1), 6): (43, 43)
(7, 0, 0, (0, 1, 1), 7): (25, 25)
(7, 0, 0, (0, 1, 1), 8): (17, 17)
(7, 0, 0, (0, 1, 1), 9): (7, 7)
(7, 0, 0, (0, 1, 1), 10): (7, 7)
(7, 0, 0, (0, 1, 1), 11): (3, 3)
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(7, 0, 0, (0, 1, 1), 13): (1, 1)
(7, 0, 0, (0, 1, 1), 15): (1, 1)
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(7, 0, 0, (1, 0, 0), -17): (0, 1)
(7, 0, 0, (1, 0, 0), -16): (0, 4)
(7, 0, 0, (1, 0, 0), -15): (0, 5)
(7, 0, 0, (1, 0, 0), -14): (0, 10)
(7, 0, 0, (1, 0, 0), -13): (0, 19)
(7, 0, 0, (1, 0, 0), -12): (0, 24)
(7, 0, 0, (1, 0, 0), -11): (0, 76)
(7, 0, 0, (1, 0, 0), -10): (1, 88)
(7, 0, 0, (1, 0, 0), -9): (1, 142)
(7, 0, 0, (1, 0, 0), -8): (0, 240)
(7, 0, 0, (1, 0, 0), -7): (5, 376)
(7, 0, 0, (1, 0, 0), -6): (11, 673)
(7, 0, 0, (1, 0, 0), -5): (48, 954)
(7, 0, 0, (1, 0, 0), -4): (76, 1323)
(7, 0, 0, (1, 0, 0), -3): (258, 1931)
(7, 0, 0, (1, 0, 0), -2): (504, 2424)
(7, 0, 0, (1, 0, 0), -1): (973, 3032)
(7, 0, 0, (1, 0, 0), 0): (1783, 3299)
(7, 0, 0, (1, 0, 0), 1): (2017, 2762)
(7, 0, 0, (1, 0, 0), 2): (1862, 2206)
(7, 0, 0, (1, 0, 0), 3): (1563, 1692)
(7, 0, 0, (1, 0, 0), 4): (1138, 1178)
(7, 0, 0, (1, 0, 0), 5): (788, 804)
(7, 0, 0, (1, 0, 0), 6): (508, 518)
(7, 0, 0, (1, 0, 0), 7): (312, 318)
(7, 0, 0, (1, 0, 0), 8): (199, 199)
(7, 0, 0, (1, 0, 0), 9): (118, 118)
(7, 0, 0, (1, 0, 0), 10): (72, 72)
(7, 0, 0, (1, 0, 0), 11): (43, 43)
(7, 0, 0, (1, 0, 0), 12): (14, 14)
(7, 0, 0, (1, 0, 0), 13): (8, 8)
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(7, 0, 0, (1, 0, 1), -8): (0, 12)
(7, 0, 0, (1, 0, 1), -7): (1, 25)
(7, 0, 0, (1, 0, 1), -6): (2, 41)
(7, 0, 0, (1, 0, 1), -5): (7, 73)
(7, 0, 0, (1, 0, 1), -4): (14, 91)
(7, 0, 0, (1, 0, 1), -3): (26, 147)
(7, 0, 0, (1, 0, 1), -2): (56, 190)
(7, 0, 0, (1, 0, 1), -1): (141, 282)
(7, 0, 0, (1, 0, 1), 0): (178, 251)
(7, 0, 0, (1, 0, 1), 1): (229, 260)
(7, 0, 0, (1, 0, 1), 2): (209, 231)
(7, 0, 0, (1, 0, 1), 3): (178, 188)
(7, 0, 0, (1, 0, 1), 4): (124, 126)
(7, 0, 0, (1, 0, 1), 5): (85, 87)
(7, 0, 0, (1, 0, 1), 6): (55, 56)
(7, 0, 0, (1, 0, 1), 7): (37, 37)
(7, 0, 0, (1, 0, 1), 8): (17, 17)
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(7, 0, 0, (1, 1, 0), -10): (1, 24)
(7, 0, 0, (1, 1, 0), -9): (0, 36)
(7, 0, 0, (1, 1, 0), -8): (0, 52)
(7, 0, 0, (1, 1, 0), -7): (2, 95)
(7, 0, 0, (1, 1, 0), -6): (3, 150)
(7, 0, 0, (1, 1, 0), -5): (25, 256)
(7, 0, 0, (1, 1, 0), -4): (25, 343)
(7, 0, 0, (1, 1, 0), -3): (91, 502)
(7, 0, 0, (1, 1, 0), -2): (187, 575)
(7, 0, 0, (1, 1, 0), -1): (264, 611)
(7, 0, 0, (1, 1, 0), 0): (386, 597)
(7, 0, 0, (1, 1, 0), 1): (404, 525)
(7, 0, 0, (1, 1, 0), 2): (393, 446)
(7, 0, 0, (1, 1, 0), 3): (344, 372)
(7, 0, 0, (1, 1, 0), 4): (304, 316)
(7, 0, 0, (1, 1, 0), 5): (209, 211)
(7, 0, 0, (1, 1, 0), 6): (165, 167)
(7, 0, 0, (1, 1, 0), 7): (87, 87)
(7, 0, 0, (1, 1, 0), 8): (60, 60)
(7, 0, 0, (1, 1, 0), 9): (33, 33)
(7, 0, 0, (1, 1, 0), 10): (19, 19)
(7, 0, 0, (1, 1, 0), 11): (18, 18)
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(7, 0, 0, (1, 1, 1), -8): (0, 10)
(7, 0, 0, (1, 1, 1), -7): (0, 26)
(7, 0, 0, (1, 1, 1), -6): (1, 35)
(7, 0, 0, (1, 1, 1), -5): (5, 46)
(7, 0, 0, (1, 1, 1), -4): (9, 61)
(7, 0, 0, (1, 1, 1), -3): (26, 107)
(7, 0, 0, (1, 1, 1), -2): (61, 133)
(7, 0, 0, (1, 1, 1), -1): (87, 152)
(7, 0, 0, (1, 1, 1), 0): (113, 147)
(7, 0, 0, (1, 1, 1), 1): (137, 166)
(7, 0, 0, (1, 1, 1), 2): (112, 123)
(7, 0, 0, (1, 1, 1), 3): (92, 100)
(7, 0, 0, (1, 1, 1), 4): (79, 79)
(7, 0, 0, (1, 1, 1), 5): (44, 45)
(7, 0, 0, (1, 1, 1), 6): (43, 44)
(7, 0, 0, (1, 1, 1), 7): (27, 27)
(7, 0, 0, (1, 1, 1), 8): (15, 15)
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(7, 0, 1, (0, 0, 0), -14): (0, 25)
(7, 0, 1, (0, 0, 0), -13): (0, 52)
(7, 0, 1, (0, 0, 0), -12): (0, 96)
(7, 0, 1, (0, 0, 0), -11): (0, 163)
(7, 0, 1, (0, 0, 0), -10): (1, 292)
(7, 0, 1, (0, 0, 0), -9): (0, 449)
(7, 0, 1, (0, 0, 0), -8): (1, 738)
(7, 0, 1, (0, 0, 0), -7): (7, 1120)
(7, 0, 1, (0, 0, 0), -6): (8, 1661)
(7, 0, 1, (0, 0, 0), -5): (41, 2550)
(7, 0, 1, (0, 0, 0), -4): (111, 3661)
(7, 0, 1, (0, 0, 0), -3): (278, 5159)
(7, 0, 1, (0, 0, 0), -2): (843, 6823)
(7, 0, 1, (0, 0, 0), -1): (1964, 8246)
(7, 0, 1, (0, 0, 0), 0): (4105, 9207)
(7, 0, 1, (0, 0, 0), 1): (5523, 8229)
(7, 0, 1, (0, 0, 0), 2): (5227, 6495)
(7, 0, 1, (0, 0, 0), 3): (4237, 4742)
(7, 0, 1, (0, 0, 0), 4): (3093, 3278)
(7, 0, 1, (0, 0, 0), 5): (2172, 2250)
(7, 0, 1, (0, 0, 0), 6): (1394, 1413)
(7, 0, 1, (0, 0, 0), 7): (908, 914)
(7, 0, 1, (0, 0, 0), 8): (554, 556)
(7, 0, 1, (0, 0, 0), 9): (317, 317)
(7, 0, 1, (0, 0, 0), 10): (189, 189)
(7, 0, 1, (0, 0, 0), 11): (131, 131)
(7, 0, 1, (0, 0, 0), 12): (82, 83)
(7, 0, 1, (0, 0, 0), 13): (49, 49)
(7, 0, 1, (0, 0, 0), 14): (16, 16)
(7, 0, 1, (0, 0, 0), 15): (14, 14)
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(7, 0, 1, (0, 0, 1), -10): (0, 11)
(7, 0, 1, (0, 0, 1), -9): (0, 22)
(7, 0, 1, (0, 0, 1), -8): (0, 22)
(7, 0, 1, (0, 0, 1), -7): (0, 31)
(7, 0, 1, (0, 0, 1), -6): (0, 50)
(7, 0, 1, (0, 0, 1), -5): (5, 102)
(7, 0, 1, (0, 0, 1), -4): (6, 149)
(7, 0, 1, (0, 0, 1), -3): (22, 188)
(7, 0, 1, (0, 0, 1), -2): (55, 287)
(7, 0, 1, (0, 0, 1), -1): (166, 479)
(7, 0, 1, (0, 0, 1), 0): (348, 566)
(7, 0, 1, (0, 0, 1), 1): (405, 541)
(7, 0, 1, (0, 0, 1), 2): (419, 495)
(7, 0, 1, (0, 0, 1), 3): (353, 385)
(7, 0, 1, (0, 0, 1), 4): (279, 289)
(7, 0, 1, (0, 0, 1), 5): (198, 200)
(7, 0, 1, (0, 0, 1), 6): (95, 95)
(7, 0, 1, (0, 0, 1), 7): (57, 57)
(7, 0, 1, (0, 0, 1), 8): (39, 39)
(7, 0, 1, (0, 0, 1), 9): (21, 21)
(7, 0, 1, (0, 0, 1), 10): (18, 18)
(7, 0, 1, (0, 0, 1), 11): (10, 10)
(7, 0, 1, (0, 0, 1), 12): (3, 3)
(7, 0, 1, (0, 0, 1), 13): (4, 4)
(7, 0, 1, (0, 0, 1), 14): (3, 3)
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(7, 0, 1, (0, 1, 0), -15): (0, 4)
(7, 0, 1, (0, 1, 0), -14): (0, 1)
(7, 0, 1, (0, 1, 0), -13): (0, 6)
(7, 0, 1, (0, 1, 0), -12): (0, 9)
(7, 0, 1, (0, 1, 0), -11): (0, 20)
(7, 0, 1, (0, 1, 0), -10): (0, 32)
(7, 0, 1, (0, 1, 0), -9): (0, 51)
(7, 0, 1, (0, 1, 0), -8): (0, 91)
(7, 0, 1, (0, 1, 0), -7): (0, 140)
(7, 0, 1, (0, 1, 0), -6): (1, 221)
(7, 0, 1, (0, 1, 0), -5): (11, 349)
(7, 0, 1, (0, 1, 0), -4): (37, 495)
(7, 0, 1, (0, 1, 0), -3): (70, 692)
(7, 0, 1, (0, 1, 0), -2): (168, 932)
(7, 0, 1, (0, 1, 0), -1): (476, 1514)
(7, 0, 1, (0, 1, 0), 0): (998, 1925)
(7, 0, 1, (0, 1, 0), 1): (1312, 1818)
(7, 0, 1, (0, 1, 0), 2): (1217, 1481)
(7, 0, 1, (0, 1, 0), 3): (1006, 1095)
(7, 0, 1, (0, 1, 0), 4): (753, 786)
(7, 0, 1, (0, 1, 0), 5): (453, 468)
(7, 0, 1, (0, 1, 0), 6): (309, 309)
(7, 0, 1, (0, 1, 0), 7): (154, 156)
(7, 0, 1, (0, 1, 0), 8): (127, 127)
(7, 0, 1, (0, 1, 0), 9): (69, 69)
(7, 0, 1, (0, 1, 0), 10): (41, 41)
(7, 0, 1, (0, 1, 0), 11): (27, 27)
(7, 0, 1, (0, 1, 0), 12): (14, 14)
(7, 0, 1, (0, 1, 0), 13): (4, 4)
(7, 0, 1, (0, 1, 0), 14): (3, 3)
(7, 0, 1, (0, 1, 0), 15): (3, 3)
(7, 0, 1, (0, 1, 0), 16): (3, 3)
(7, 0, 1, (0, 1, 0), 17): (2, 2)
(7, 0, 1, (0, 1, 0), 19): (1, 1)
(7, 0, 1, (0, 1, 1), -14): (0, 2)
(7, 0, 1, (0, 1, 1), -13): (0, 2)
(7, 0, 1, (0, 1, 1), -12): (0, 4)
(7, 0, 1, (0, 1, 1), -11): (0, 6)
(7, 0, 1, (0, 1, 1), -10): (0, 8)
(7, 0, 1, (0, 1, 1), -9): (0, 12)
(7, 0, 1, (0, 1, 1), -8): (0, 21)
(7, 0, 1, (0, 1, 1), -7): (0, 34)
(7, 0, 1, (0, 1, 1), -6): (2, 67)
(7, 0, 1, (0, 1, 1), -5): (1, 95)
(7, 0, 1, (0, 1, 1), -4): (8, 143)
(7, 0, 1, (0, 1, 1), -3): (20, 197)
(7, 0, 1, (0, 1, 1), -2): (86, 300)
(7, 0, 1, (0, 1, 1), -1): (169, 424)
(7, 0, 1, (0, 1, 1), 0): (332, 492)
(7, 0, 1, (0, 1, 1), 1): (378, 475)
(7, 0, 1, (0, 1, 1), 2): (300, 348)
(7, 0, 1, (0, 1, 1), 3): (294, 310)
(7, 0, 1, (0, 1, 1), 4): (225, 233)
(7, 0, 1, (0, 1, 1), 5): (144, 151)
(7, 0, 1, (0, 1, 1), 6): (108, 109)
(7, 0, 1, (0, 1, 1), 7): (65, 65)
(7, 0, 1, (0, 1, 1), 8): (36, 36)
(7, 0, 1, (0, 1, 1), 9): (23, 23)
(7, 0, 1, (0, 1, 1), 10): (18, 18)
(7, 0, 1, (0, 1, 1), 11): (9, 9)
(7, 0, 1, (0, 1, 1), 12): (5, 5)
(7, 0, 1, (0, 1, 1), 13): (4, 4)
(7, 0, 1, (0, 1, 1), 14): (2, 2)
(7, 0, 1, (0, 1, 1), 15): (1, 1)
(7, 0, 1, (1, 0, 0), -21): (0, 1)
(7, 0, 1, (1, 0, 0), -20): (0, 1)
(7, 0, 1, (1, 0, 0), -18): (0, 1)
(7, 0, 1, (1, 0, 0), -17): (0, 2)
(7, 0, 1, (1, 0, 0), -16): (0, 3)
(7, 0, 1, (1, 0, 0), -15): (0, 4)
(7, 0, 1, (1, 0, 0), -14): (0, 8)
(7, 0, 1, (1, 0, 0), -13): (0, 25)
(7, 0, 1, (1, 0, 0), -12): (0, 31)
(7, 0, 1, (1, 0, 0), -11): (0, 69)
(7, 0, 1, (1, 0, 0), -10): (0, 124)
(7, 0, 1, (1, 0, 0), -9): (0, 198)
(7, 0, 1, (1, 0, 0), -8): (1, 321)
(7, 0, 1, (1, 0, 0), -7): (2, 469)
(7, 0, 1, (1, 0, 0), -6): (8, 743)
(7, 0, 1, (1, 0, 0), -5): (29, 1087)
(7, 0, 1, (1, 0, 0), -4): (67, 1564)
(7, 0, 1, (1, 0, 0), -3): (199, 2156)
(7, 0, 1, (1, 0, 0), -2): (453, 2858)
(7, 0, 1, (1, 0, 0), -1): (930, 3353)
(7, 0, 1, (1, 0, 0), 0): (1856, 3697)
(7, 0, 1, (1, 0, 0), 1): (2179, 3156)
(7, 0, 1, (1, 0, 0), 2): (2088, 2550)
(7, 0, 1, (1, 0, 0), 3): (1856, 2048)
(7, 0, 1, (1, 0, 0), 4): (1287, 1349)
(7, 0, 1, (1, 0, 0), 5): (952, 981)
(7, 0, 1, (1, 0, 0), 6): (646, 656)
(7, 0, 1, (1, 0, 0), 7): (437, 441)
(7, 0, 1, (1, 0, 0), 8): (250, 250)
(7, 0, 1, (1, 0, 0), 9): (153, 153)
(7, 0, 1, (1, 0, 0), 10): (93, 93)
(7, 0, 1, (1, 0, 0), 11): (57, 57)
(7, 0, 1, (1, 0, 0), 12): (44, 45)
(7, 0, 1, (1, 0, 0), 13): (26, 26)
(7, 0, 1, (1, 0, 0), 14): (6, 6)
(7, 0, 1, (1, 0, 0), 15): (7, 7)
(7, 0, 1, (1, 0, 0), 16): (2, 2)
(7, 0, 1, (1, 0, 0), 17): (2, 2)
(7, 0, 1, (1, 0, 0), 19): (2, 2)
(7, 0, 1, (1, 0, 0), 20): (1, 1)
(7, 0, 1, (1, 0, 1), -17): (0, 1)
(7, 0, 1, (1, 0, 1), -13): (0, 3)
(7, 0, 1, (1, 0, 1), -12): (0, 7)
(7, 0, 1, (1, 0, 1), -11): (0, 15)
(7, 0, 1, (1, 0, 1), -10): (0, 20)
(7, 0, 1, (1, 0, 1), -9): (0, 20)
(7, 0, 1, (1, 0, 1), -8): (0, 29)
(7, 0, 1, (1, 0, 1), -7): (0, 53)
(7, 0, 1, (1, 0, 1), -6): (1, 92)
(7, 0, 1, (1, 0, 1), -5): (12, 153)
(7, 0, 1, (1, 0, 1), -4): (17, 194)
(7, 0, 1, (1, 0, 1), -3): (45, 319)
(7, 0, 1, (1, 0, 1), -2): (102, 406)
(7, 0, 1, (1, 0, 1), -1): (210, 539)
(7, 0, 1, (1, 0, 1), 0): (413, 661)
(7, 0, 1, (1, 0, 1), 1): (434, 554)
(7, 0, 1, (1, 0, 1), 2): (439, 506)
(7, 0, 1, (1, 0, 1), 3): (379, 409)
(7, 0, 1, (1, 0, 1), 4): (299, 310)
(7, 0, 1, (1, 0, 1), 5): (203, 208)
(7, 0, 1, (1, 0, 1), 6): (136, 136)
(7, 0, 1, (1, 0, 1), 7): (92, 92)
(7, 0, 1, (1, 0, 1), 8): (54, 54)
(7, 0, 1, (1, 0, 1), 9): (36, 36)
(7, 0, 1, (1, 0, 1), 10): (17, 17)
(7, 0, 1, (1, 0, 1), 11): (8, 8)
(7, 0, 1, (1, 0, 1), 12): (4, 4)
(7, 0, 1, (1, 0, 1), 13): (6, 6)
(7, 0, 1, (1, 0, 1), 19): (1, 1)
(7, 0, 1, (1, 1, 0), -18): (0, 1)
(7, 0, 1, (1, 1, 0), -17): (0, 1)
(7, 0, 1, (1, 1, 0), -16): (0, 1)
(7, 0, 1, (1, 1, 0), -15): (0, 1)
(7, 0, 1, (1, 1, 0), -14): (0, 1)
(7, 0, 1, (1, 1, 0), -13): (0, 12)
(7, 0, 1, (1, 1, 0), -12): (0, 12)
(7, 0, 1, (1, 1, 0), -11): (0, 26)
(7, 0, 1, (1, 1, 0), -10): (0, 35)
(7, 0, 1, (1, 1, 0), -9): (0, 58)
(7, 0, 1, (1, 1, 0), -8): (0, 108)
(7, 0, 1, (1, 1, 0), -7): (2, 151)
(7, 0, 1, (1, 1, 0), -6): (4, 260)
(7, 0, 1, (1, 1, 0), -5): (18, 366)
(7, 0, 1, (1, 1, 0), -4): (28, 516)
(7, 0, 1, (1, 1, 0), -3): (103, 761)
(7, 0, 1, (1, 1, 0), -2): (215, 975)
(7, 0, 1, (1, 1, 0), -1): (406, 1080)
(7, 0, 1, (1, 1, 0), 0): (646, 1231)
(7, 0, 1, (1, 1, 0), 1): (839, 1142)
(7, 0, 1, (1, 1, 0), 2): (809, 962)
(7, 0, 1, (1, 1, 0), 3): (740, 798)
(7, 0, 1, (1, 1, 0), 4): (550, 571)
(7, 0, 1, (1, 1, 0), 5): (399, 412)
(7, 0, 1, (1, 1, 0), 6): (288, 290)
(7, 0, 1, (1, 1, 0), 7): (195, 196)
(7, 0, 1, (1, 1, 0), 8): (132, 132)
(7, 0, 1, (1, 1, 0), 9): (81, 81)
(7, 0, 1, (1, 1, 0), 10): (43, 43)
(7, 0, 1, (1, 1, 0), 11): (31, 31)
(7, 0, 1, (1, 1, 0), 12): (17, 17)
(7, 0, 1, (1, 1, 0), 13): (11, 11)
(7, 0, 1, (1, 1, 0), 14): (5, 5)
(7, 0, 1, (1, 1, 0), 15): (4, 4)
(7, 0, 1, (1, 1, 0), 16): (2, 2)
(7, 0, 1, (1, 1, 1), -14): (0, 1)
(7, 0, 1, (1, 1, 1), -13): (0, 1)
(7, 0, 1, (1, 1, 1), -12): (0, 2)
(7, 0, 1, (1, 1, 1), -11): (0, 3)
(7, 0, 1, (1, 1, 1), -10): (0, 6)
(7, 0, 1, (1, 1, 1), -9): (0, 13)
(7, 0, 1, (1, 1, 1), -8): (0, 25)
(7, 0, 1, (1, 1, 1), -7): (0, 40)
(7, 0, 1, (1, 1, 1), -6): (2, 68)
(7, 0, 1, (1, 1, 1), -5): (3, 83)
(7, 0, 1, (1, 1, 1), -4): (14, 125)
(7, 0, 1, (1, 1, 1), -3): (48, 206)
(7, 0, 1, (1, 1, 1), -2): (85, 267)
(7, 0, 1, (1, 1, 1), -1): (188, 430)
(7, 0, 1, (1, 1, 1), 0): (354, 567)
(7, 0, 1, (1, 1, 1), 1): (372, 473)
(7, 0, 1, (1, 1, 1), 2): (344, 386)
(7, 0, 1, (1, 1, 1), 3): (308, 337)
(7, 0, 1, (1, 1, 1), 4): (251, 256)
(7, 0, 1, (1, 1, 1), 5): (183, 184)
(7, 0, 1, (1, 1, 1), 6): (125, 127)
(7, 0, 1, (1, 1, 1), 7): (73, 73)
(7, 0, 1, (1, 1, 1), 8): (44, 44)
(7, 0, 1, (1, 1, 1), 9): (26, 26)
(7, 0, 1, (1, 1, 1), 10): (15, 15)
(7, 0, 1, (1, 1, 1), 11): (16, 16)
(7, 0, 1, (1, 1, 1), 12): (5, 5)
(7, 0, 1, (1, 1, 1), 13): (6, 6)
(7, 0, 1, (1, 1, 1), 14): (1, 1)
(7, 0, 1, (1, 1, 1), 16): (1, 1)
(7, 0, 2, (0, 0, 0), -19): (0, 1)
(7, 0, 2, (0, 0, 0), -18): (0, 1)
(7, 0, 2, (0, 0, 0), -17): (0, 3)
(7, 0, 2, (0, 0, 0), -16): (0, 5)
(7, 0, 2, (0, 0, 0), -15): (0, 10)
(7, 0, 2, (0, 0, 0), -14): (0, 22)
(7, 0, 2, (0, 0, 0), -13): (0, 36)
(7, 0, 2, (0, 0, 0), -12): (0, 71)
(7, 0, 2, (0, 0, 0), -11): (0, 133)
(7, 0, 2, (0, 0, 0), -10): (1, 214)
(7, 0, 2, (0, 0, 0), -9): (0, 330)
(7, 0, 2, (0, 0, 0), -8): (0, 541)
(7, 0, 2, (0, 0, 0), -7): (6, 835)
(7, 0, 2, (0, 0, 0), -6): (8, 1253)
(7, 0, 2, (0, 0, 0), -5): (24, 1872)
(7, 0, 2, (0, 0, 0), -4): (65, 2794)
(7, 0, 2, (0, 0, 0), -3): (172, 3986)
(7, 0, 2, (0, 0, 0), -2): (546, 5296)
(7, 0, 2, (0, 0, 0), -1): (1288, 6345)
(7, 0, 2, (0, 0, 0), 0): (2935, 7115)
(7, 0, 2, (0, 0, 0), 1): (4246, 6476)
(7, 0, 2, (0, 0, 0), 2): (4119, 5190)
(7, 0, 2, (0, 0, 0), 3): (3426, 3850)
(7, 0, 2, (0, 0, 0), 4): (2605, 2764)
(7, 0, 2, (0, 0, 0), 5): (1832, 1906)
(7, 0, 2, (0, 0, 0), 6): (1187, 1206)
(7, 0, 2, (0, 0, 0), 7): (772, 779)
(7, 0, 2, (0, 0, 0), 8): (508, 511)
(7, 0, 2, (0, 0, 0), 9): (294, 294)
(7, 0, 2, (0, 0, 0), 10): (171, 171)
(7, 0, 2, (0, 0, 0), 11): (117, 117)
(7, 0, 2, (0, 0, 0), 12): (72, 72)
(7, 0, 2, (0, 0, 0), 13): (35, 35)
(7, 0, 2, (0, 0, 0), 14): (17, 17)
(7, 0, 2, (0, 0, 0), 15): (23, 23)
(7, 0, 2, (0, 0, 0), 16): (7, 7)
(7, 0, 2, (0, 0, 0), 17): (2, 2)
(7, 0, 2, (0, 0, 0), 18): (3, 3)
(7, 0, 2, (0, 0, 0), 20): (1, 1)
(7, 0, 2, (0, 0, 0), 21): (1, 1)
(7, 0, 2, (0, 0, 1), -16): (0, 3)
(7, 0, 2, (0, 0, 1), -14): (0, 1)
(7, 0, 2, (0, 0, 1), -13): (0, 6)
(7, 0, 2, (0, 0, 1), -12): (0, 3)
(7, 0, 2, (0, 0, 1), -11): (0, 5)
(7, 0, 2, (0, 0, 1), -10): (0, 25)
(7, 0, 2, (0, 0, 1), -9): (1, 24)
(7, 0, 2, (0, 0, 1), -8): (0, 37)
(7, 0, 2, (0, 0, 1), -7): (1, 46)
(7, 0, 2, (0, 0, 1), -6): (1, 101)
(7, 0, 2, (0, 0, 1), -5): (3, 167)
(7, 0, 2, (0, 0, 1), -4): (6, 248)
(7, 0, 2, (0, 0, 1), -3): (20, 326)
(7, 0, 2, (0, 0, 1), -2): (56, 458)
(7, 0, 2, (0, 0, 1), -1): (162, 687)
(7, 0, 2, (0, 0, 1), 0): (367, 798)
(7, 0, 2, (0, 0, 1), 1): (556, 825)
(7, 0, 2, (0, 0, 1), 2): (586, 733)
(7, 0, 2, (0, 0, 1), 3): (434, 479)
(7, 0, 2, (0, 0, 1), 4): (410, 435)
(7, 0, 2, (0, 0, 1), 5): (272, 277)
(7, 0, 2, (0, 0, 1), 6): (180, 185)
(7, 0, 2, (0, 0, 1), 7): (97, 98)
(7, 0, 2, (0, 0, 1), 8): (88, 88)
(7, 0, 2, (0, 0, 1), 9): (36, 36)
(7, 0, 2, (0, 0, 1), 10): (30, 30)
(7, 0, 2, (0, 0, 1), 11): (15, 15)
(7, 0, 2, (0, 0, 1), 12): (16, 16)
(7, 0, 2, (0, 0, 1), 13): (6, 6)
(7, 0, 2, (0, 0, 1), 14): (3, 3)
(7, 0, 2, (0, 0, 1), 15): (2, 2)
(7, 0, 2, (0, 0, 1), 17): (2, 2)
(7, 0, 2, (0, 1, 0), -16): (0, 2)
(7, 0, 2, (0, 1, 0), -15): (0, 5)
(7, 0, 2, (0, 1, 0), -14): (0, 4)
(7, 0, 2, (0, 1, 0), -13): (0, 6)
(7, 0, 2, (0, 1, 0), -12): (0, 15)
(7, 0, 2, (0, 1, 0), -11): (0, 31)
(7, 0, 2, (0, 1, 0), -10): (0, 45)
(7, 0, 2, (0, 1, 0), -9): (0, 57)
(7, 0, 2, (0, 1, 0), -8): (1, 93)
(7, 0, 2, (0, 1, 0), -7): (2, 184)
(7, 0, 2, (0, 1, 0), -6): (0, 266)
(7, 0, 2, (0, 1, 0), -5): (13, 431)
(7, 0, 2, (0, 1, 0), -4): (33, 597)
(7, 0, 2, (0, 1, 0), -3): (52, 850)
(7, 0, 2, (0, 1, 0), -2): (169, 1146)
(7, 0, 2, (0, 1, 0), -1): (414, 1720)
(7, 0, 2, (0, 1, 0), 0): (972, 2128)
(7, 0, 2, (0, 1, 0), 1): (1368, 2029)
(7, 0, 2, (0, 1, 0), 2): (1434, 1778)
(7, 0, 2, (0, 1, 0), 3): (1142, 1295)
(7, 0, 2, (0, 1, 0), 4): (885, 938)
(7, 0, 2, (0, 1, 0), 5): (608, 630)
(7, 0, 2, (0, 1, 0), 6): (416, 420)
(7, 0, 2, (0, 1, 0), 7): (239, 239)
(7, 0, 2, (0, 1, 0), 8): (168, 168)
(7, 0, 2, (0, 1, 0), 9): (103, 103)
(7, 0, 2, (0, 1, 0), 10): (73, 73)
(7, 0, 2, (0, 1, 0), 11): (36, 36)
(7, 0, 2, (0, 1, 0), 12): (18, 18)
(7, 0, 2, (0, 1, 0), 13): (7, 7)
(7, 0, 2, (0, 1, 0), 14): (8, 8)
(7, 0, 2, (0, 1, 0), 15): (3, 3)
(7, 0, 2, (0, 1, 0), 16): (4, 4)
(7, 0, 2, (0, 1, 0), 17): (2, 2)
(7, 0, 2, (0, 1, 1), -16): (0, 1)
(7, 0, 2, (0, 1, 1), -13): (0, 3)
(7, 0, 2, (0, 1, 1), -12): (0, 1)
(7, 0, 2, (0, 1, 1), -11): (0, 9)
(7, 0, 2, (0, 1, 1), -10): (0, 8)
(7, 0, 2, (0, 1, 1), -9): (0, 17)
(7, 0, 2, (0, 1, 1), -8): (0, 23)
(7, 0, 2, (0, 1, 1), -7): (1, 52)
(7, 0, 2, (0, 1, 1), -6): (1, 76)
(7, 0, 2, (0, 1, 1), -5): (6, 115)
(7, 0, 2, (0, 1, 1), -4): (7, 161)
(7, 0, 2, (0, 1, 1), -3): (17, 217)
(7, 0, 2, (0, 1, 1), -2): (55, 298)
(7, 0, 2, (0, 1, 1), -1): (95, 371)
(7, 0, 2, (0, 1, 1), 0): (225, 460)
(7, 0, 2, (0, 1, 1), 1): (326, 444)
(7, 0, 2, (0, 1, 1), 2): (335, 410)
(7, 0, 2, (0, 1, 1), 3): (269, 294)
(7, 0, 2, (0, 1, 1), 4): (274, 288)
(7, 0, 2, (0, 1, 1), 5): (159, 168)
(7, 0, 2, (0, 1, 1), 6): (115, 117)
(7, 0, 2, (0, 1, 1), 7): (80, 81)
(7, 0, 2, (0, 1, 1), 8): (57, 57)
(7, 0, 2, (0, 1, 1), 9): (25, 25)
(7, 0, 2, (0, 1, 1), 10): (21, 21)
(7, 0, 2, (0, 1, 1), 11): (11, 11)
(7, 0, 2, (0, 1, 1), 12): (11, 11)
(7, 0, 2, (0, 1, 1), 13): (4, 4)
(7, 0, 2, (0, 1, 1), 14): (2, 2)
(7, 0, 2, (0, 1, 1), 15): (5, 5)
(7, 0, 2, (0, 1, 1), 16): (1, 1)
(7, 0, 2, (0, 1, 1), 17): (1, 1)
(7, 0, 2, (0, 1, 1), 18): (1, 1)
(7, 0, 2, (1, 0, 0), -21): (0, 1)
(7, 0, 2, (1, 0, 0), -17): (0, 1)
(7, 0, 2, (1, 0, 0), -16): (0, 7)
(7, 0, 2, (1, 0, 0), -15): (0, 4)
(7, 0, 2, (1, 0, 0), -14): (0, 15)
(7, 0, 2, (1, 0, 0), -13): (0, 23)
(7, 0, 2, (1, 0, 0), -12): (0, 39)
(7, 0, 2, (1, 0, 0), -11): (0, 59)
(7, 0, 2, (1, 0, 0), -10): (0, 100)
(7, 0, 2, (1, 0, 0), -9): (0, 194)
(7, 0, 2, (1, 0, 0), -8): (0, 300)
(7, 0, 2, (1, 0, 0), -7): (0, 459)
(7, 0, 2, (1, 0, 0), -6): (7, 723)
(7, 0, 2, (1, 0, 0), -5): (19, 1028)
(7, 0, 2, (1, 0, 0), -4): (41, 1565)
(7, 0, 2, (1, 0, 0), -3): (134, 2097)
(7, 0, 2, (1, 0, 0), -2): (342, 2839)
(7, 0, 2, (1, 0, 0), -1): (774, 3368)
(7, 0, 2, (1, 0, 0), 0): (1615, 3641)
(7, 0, 2, (1, 0, 0), 1): (2139, 3199)
(7, 0, 2, (1, 0, 0), 2): (2134, 2642)
(7, 0, 2, (1, 0, 0), 3): (1863, 2093)
(7, 0, 2, (1, 0, 0), 4): (1434, 1517)
(7, 0, 2, (1, 0, 0), 5): (1028, 1061)
(7, 0, 2, (1, 0, 0), 6): (742, 750)
(7, 0, 2, (1, 0, 0), 7): (493, 500)
(7, 0, 2, (1, 0, 0), 8): (289, 289)
(7, 0, 2, (1, 0, 0), 9): (185, 185)
(7, 0, 2, (1, 0, 0), 10): (120, 120)
(7, 0, 2, (1, 0, 0), 11): (81, 81)
(7, 0, 2, (1, 0, 0), 12): (50, 51)
(7, 0, 2, (1, 0, 0), 13): (25, 25)
(7, 0, 2, (1, 0, 0), 14): (16, 16)
(7, 0, 2, (1, 0, 0), 15): (12, 12)
(7, 0, 2, (1, 0, 0), 16): (5, 5)
(7, 0, 2, (1, 0, 0), 17): (1, 1)
(7, 0, 2, (1, 0, 0), 19): (2, 2)
(7, 0, 2, (1, 0, 0), 20): (1, 1)
(7, 0, 2, (1, 0, 1), -17): (0, 1)
(7, 0, 2, (1, 0, 1), -16): (0, 2)
(7, 0, 2, (1, 0, 1), -13): (0, 4)
(7, 0, 2, (1, 0, 1), -12): (0, 6)
(7, 0, 2, (1, 0, 1), -11): (0, 13)
(7, 0, 2, (1, 0, 1), -10): (0, 14)
(7, 0, 2, (1, 0, 1), -9): (0, 26)
(7, 0, 2, (1, 0, 1), -8): (0, 51)
(7, 0, 2, (1, 0, 1), -7): (0, 59)
(7, 0, 2, (1, 0, 1), -6): (2, 124)
(7, 0, 2, (1, 0, 1), -5): (10, 178)
(7, 0, 2, (1, 0, 1), -4): (10, 245)
(7, 0, 2, (1, 0, 1), -3): (22, 363)
(7, 0, 2, (1, 0, 1), -2): (87, 495)
(7, 0, 2, (1, 0, 1), -1): (211, 718)
(7, 0, 2, (1, 0, 1), 0): (386, 785)
(7, 0, 2, (1, 0, 1), 1): (569, 770)
(7, 0, 2, (1, 0, 1), 2): (577, 719)
(7, 0, 2, (1, 0, 1), 3): (508, 565)
(7, 0, 2, (1, 0, 1), 4): (402, 426)
(7, 0, 2, (1, 0, 1), 5): (291, 298)
(7, 0, 2, (1, 0, 1), 6): (226, 226)
(7, 0, 2, (1, 0, 1), 7): (121, 123)
(7, 0, 2, (1, 0, 1), 8): (99, 99)
(7, 0, 2, (1, 0, 1), 9): (49, 49)
(7, 0, 2, (1, 0, 1), 10): (31, 31)
(7, 0, 2, (1, 0, 1), 11): (21, 21)
(7, 0, 2, (1, 0, 1), 12): (10, 10)
(7, 0, 2, (1, 0, 1), 13): (10, 10)
(7, 0, 2, (1, 0, 1), 14): (4, 4)
(7, 0, 2, (1, 0, 1), 15): (1, 1)
(7, 0, 2, (1, 0, 1), 16): (1, 1)
(7, 0, 2, (1, 0, 1), 19): (1, 1)
(7, 0, 2, (1, 1, 0), -18): (0, 1)
(7, 0, 2, (1, 1, 0), -17): (0, 1)
(7, 0, 2, (1, 1, 0), -16): (0, 3)
(7, 0, 2, (1, 1, 0), -15): (0, 1)
(7, 0, 2, (1, 1, 0), -14): (0, 6)
(7, 0, 2, (1, 1, 0), -13): (0, 10)
(7, 0, 2, (1, 1, 0), -12): (0, 16)
(7, 0, 2, (1, 1, 0), -11): (0, 19)
(7, 0, 2, (1, 1, 0), -10): (0, 40)
(7, 0, 2, (1, 1, 0), -9): (0, 72)
(7, 0, 2, (1, 1, 0), -8): (0, 131)
(7, 0, 2, (1, 1, 0), -7): (1, 175)
(7, 0, 2, (1, 1, 0), -6): (2, 285)
(7, 0, 2, (1, 1, 0), -5): (11, 422)
(7, 0, 2, (1, 1, 0), -4): (20, 616)
(7, 0, 2, (1, 1, 0), -3): (65, 836)
(7, 0, 2, (1, 1, 0), -2): (158, 1181)
(7, 0, 2, (1, 1, 0), -1): (359, 1404)
(7, 0, 2, (1, 1, 0), 0): (839, 1719)
(7, 0, 2, (1, 1, 0), 1): (1143, 1674)
(7, 0, 2, (1, 1, 0), 2): (1101, 1359)
(7, 0, 2, (1, 1, 0), 3): (993, 1114)
(7, 0, 2, (1, 1, 0), 4): (755, 795)
(7, 0, 2, (1, 1, 0), 5): (562, 574)
(7, 0, 2, (1, 1, 0), 6): (367, 372)
(7, 0, 2, (1, 1, 0), 7): (253, 256)
(7, 0, 2, (1, 1, 0), 8): (131, 131)
(7, 0, 2, (1, 1, 0), 9): (111, 111)
(7, 0, 2, (1, 1, 0), 10): (69, 69)
(7, 0, 2, (1, 1, 0), 11): (49, 49)
(7, 0, 2, (1, 1, 0), 12): (24, 24)
(7, 0, 2, (1, 1, 0), 13): (13, 13)
(7, 0, 2, (1, 1, 0), 14): (12, 12)
(7, 0, 2, (1, 1, 0), 15): (3, 3)
(7, 0, 2, (1, 1, 0), 16): (3, 3)
(7, 0, 2, (1, 1, 0), 20): (1, 1)
(7, 0, 2, (1, 1, 0), 21): (1, 1)
(7, 0, 2, (1, 1, 0), 22): (1, 1)
(7, 0, 2, (1, 1, 1), -17): (0, 1)
(7, 0, 2, (1, 1, 1), -16): (0, 2)
(7, 0, 2, (1, 1, 1), -15): (0, 1)
(7, 0, 2, (1, 1, 1), -14): (0, 1)
(7, 0, 2, (1, 1, 1), -12): (0, 2)
(7, 0, 2, (1, 1, 1), -11): (0, 4)
(7, 0, 2, (1, 1, 1), -10): (0, 6)
(7, 0, 2, (1, 1, 1), -9): (0, 16)
(7, 0, 2, (1, 1, 1), -8): (0, 24)
(7, 0, 2, (1, 1, 1), -7): (0, 52)
(7, 0, 2, (1, 1, 1), -6): (1, 75)
(7, 0, 2, (1, 1, 1), -5): (9, 96)
(7, 0, 2, (1, 1, 1), -4): (11, 183)
(7, 0, 2, (1, 1, 1), -3): (32, 253)
(7, 0, 2, (1, 1, 1), -2): (70, 337)
(7, 0, 2, (1, 1, 1), -1): (140, 447)
(7, 0, 2, (1, 1, 1), 0): (327, 645)
(7, 0, 2, (1, 1, 1), 1): (434, 587)
(7, 0, 2, (1, 1, 1), 2): (426, 512)
(7, 0, 2, (1, 1, 1), 3): (393, 431)
(7, 0, 2, (1, 1, 1), 4): (293, 302)
(7, 0, 2, (1, 1, 1), 5): (233, 239)
(7, 0, 2, (1, 1, 1), 6): (160, 162)
(7, 0, 2, (1, 1, 1), 7): (85, 85)
(7, 0, 2, (1, 1, 1), 8): (54, 54)
(7, 0, 2, (1, 1, 1), 9): (33, 33)
(7, 0, 2, (1, 1, 1), 10): (14, 14)
(7, 0, 2, (1, 1, 1), 11): (23, 23)
(7, 0, 2, (1, 1, 1), 12): (5, 5)
(7, 0, 2, (1, 1, 1), 13): (3, 3)
(7, 0, 2, (1, 1, 1), 14): (5, 5)
(7, 0, 2, (1, 1, 1), 15): (1, 1)
(7, 0, 2, (1, 1, 1), 16): (2, 2)
(7, 1, 0, (0, 0, 0), -22): (0, 1)
(7, 1, 0, (0, 0, 0), -21): (0, 1)
(7, 1, 0, (0, 0, 0), -20): (0, 1)
(7, 1, 0, (0, 0, 0), -19): (0, 3)
(7, 1, 0, (0, 0, 0), -18): (0, 4)
(7, 1, 0, (0, 0, 0), -17): (0, 8)
(7, 1, 0, (0, 0, 0), -16): (0, 16)
(7, 1, 0, (0, 0, 0), -15): (0, 32)
(7, 1, 0, (0, 0, 0), -14): (0, 42)
(7, 1, 0, (0, 0, 0), -13): (0, 70)
(7, 1, 0, (0, 0, 0), -12): (1, 161)
(7, 1, 0, (0, 0, 0), -11): (1, 243)
(7, 1, 0, (0, 0, 0), -10): (0, 381)
(7, 1, 0, (0, 0, 0), -9): (0, 598)
(7, 1, 0, (0, 0, 0), -8): (3, 1044)
(7, 1, 0, (0, 0, 0), -7): (19, 1620)
(7, 1, 0, (0, 0, 0), -6): (37, 2484)
(7, 1, 0, (0, 0, 0), -5): (141, 3714)
(7, 1, 0, (0, 0, 0), -4): (310, 5199)
(7, 1, 0, (0, 0, 0), -3): (825, 7135)
(7, 1, 0, (0, 0, 0), -2): (2023, 9369)
(7, 1, 0, (0, 0, 0), -1): (4027, 11279)
(7, 1, 0, (0, 0, 0), 0): (7440, 12326)
(7, 1, 0, (0, 0, 0), 1): (8908, 10878)
(7, 1, 0, (0, 0, 0), 2): (8135, 8918)
(7, 1, 0, (0, 0, 0), 3): (6380, 6656)
(7, 1, 0, (0, 0, 0), 4): (4671, 4779)
(7, 1, 0, (0, 0, 0), 5): (3264, 3296)
(7, 1, 0, (0, 0, 0), 6): (2230, 2240)
(7, 1, 0, (0, 0, 0), 7): (1413, 1416)
(7, 1, 0, (0, 0, 0), 8): (933, 934)
(7, 1, 0, (0, 0, 0), 9): (594, 594)
(7, 1, 0, (0, 0, 0), 10): (383, 384)
(7, 1, 0, (0, 0, 0), 11): (233, 233)
(7, 1, 0, (0, 0, 0), 12): (115, 115)
(7, 1, 0, (0, 0, 0), 13): (62, 62)
(7, 1, 0, (0, 0, 0), 14): (34, 34)
(7, 1, 0, (0, 0, 0), 15): (19, 19)
(7, 1, 0, (0, 0, 0), 16): (14, 14)
(7, 1, 0, (0, 0, 0), 17): (4, 4)
(7, 1, 0, (0, 0, 0), 18): (2, 2)
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(7, 1, 0, (0, 0, 0), 21): (1, 1)
(7, 1, 0, (0, 0, 1), -13): (0, 2)
(7, 1, 0, (0, 0, 1), -11): (0, 4)
(7, 1, 0, (0, 0, 1), -10): (0, 5)
(7, 1, 0, (0, 0, 1), -9): (0, 5)
(7, 1, 0, (0, 0, 1), -8): (0, 12)
(7, 1, 0, (0, 0, 1), -7): (0, 19)
(7, 1, 0, (0, 0, 1), -6): (0, 24)
(7, 1, 0, (0, 0, 1), -5): (2, 30)
(7, 1, 0, (0, 0, 1), -4): (8, 46)
(7, 1, 0, (0, 0, 1), -3): (16, 86)
(7, 1, 0, (0, 0, 1), -2): (41, 110)
(7, 1, 0, (0, 0, 1), -1): (75, 126)
(7, 1, 0, (0, 0, 1), 0): (105, 149)
(7, 1, 0, (0, 0, 1), 1): (152, 169)
(7, 1, 0, (0, 0, 1), 2): (139, 147)
(7, 1, 0, (0, 0, 1), 3): (133, 139)
(7, 1, 0, (0, 0, 1), 4): (121, 121)
(7, 1, 0, (0, 0, 1), 5): (77, 77)
(7, 1, 0, (0, 0, 1), 6): (37, 37)
(7, 1, 0, (0, 0, 1), 7): (34, 34)
(7, 1, 0, (0, 0, 1), 8): (21, 21)
(7, 1, 0, (0, 0, 1), 9): (8, 8)
(7, 1, 0, (0, 0, 1), 10): (5, 5)
(7, 1, 0, (0, 0, 1), 11): (4, 4)
(7, 1, 0, (0, 0, 1), 12): (3, 3)
(7, 1, 0, (0, 0, 1), 13): (1, 1)
(7, 1, 0, (0, 0, 1), 14): (1, 1)
(7, 1, 0, (0, 0, 1), 17): (1, 1)
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(7, 1, 0, (0, 1, 0), -15): (0, 5)
(7, 1, 0, (0, 1, 0), -14): (0, 2)
(7, 1, 0, (0, 1, 0), -13): (0, 2)
(7, 1, 0, (0, 1, 0), -12): (0, 7)
(7, 1, 0, (0, 1, 0), -11): (0, 14)
(7, 1, 0, (0, 1, 0), -10): (0, 32)
(7, 1, 0, (0, 1, 0), -9): (0, 42)
(7, 1, 0, (0, 1, 0), -8): (0, 65)
(7, 1, 0, (0, 1, 0), -7): (1, 98)
(7, 1, 0, (0, 1, 0), -6): (5, 167)
(7, 1, 0, (0, 1, 0), -5): (16, 219)
(7, 1, 0, (0, 1, 0), -4): (31, 333)
(7, 1, 0, (0, 1, 0), -3): (82, 457)
(7, 1, 0, (0, 1, 0), -2): (195, 577)
(7, 1, 0, (0, 1, 0), -1): (356, 678)
(7, 1, 0, (0, 1, 0), 0): (619, 847)
(7, 1, 0, (0, 1, 0), 1): (687, 786)
(7, 1, 0, (0, 1, 0), 2): (644, 690)
(7, 1, 0, (0, 1, 0), 3): (503, 519)
(7, 1, 0, (0, 1, 0), 4): (450, 454)
(7, 1, 0, (0, 1, 0), 5): (288, 288)
(7, 1, 0, (0, 1, 0), 6): (192, 193)
(7, 1, 0, (0, 1, 0), 7): (124, 124)
(7, 1, 0, (0, 1, 0), 8): (83, 83)
(7, 1, 0, (0, 1, 0), 9): (50, 50)
(7, 1, 0, (0, 1, 0), 10): (36, 36)
(7, 1, 0, (0, 1, 0), 11): (15, 15)
(7, 1, 0, (0, 1, 0), 12): (11, 11)
(7, 1, 0, (0, 1, 0), 13): (3, 3)
(7, 1, 0, (0, 1, 0), 14): (2, 2)
(7, 1, 0, (0, 1, 0), 15): (2, 2)
(7, 1, 0, (0, 1, 0), 18): (1, 1)
(7, 1, 0, (0, 1, 1), -12): (0, 3)
(7, 1, 0, (0, 1, 1), -11): (0, 4)
(7, 1, 0, (0, 1, 1), -10): (0, 1)
(7, 1, 0, (0, 1, 1), -9): (0, 8)
(7, 1, 0, (0, 1, 1), -8): (1, 18)
(7, 1, 0, (0, 1, 1), -7): (1, 20)
(7, 1, 0, (0, 1, 1), -6): (2, 28)
(7, 1, 0, (0, 1, 1), -5): (5, 34)
(7, 1, 0, (0, 1, 1), -4): (8, 59)
(7, 1, 0, (0, 1, 1), -3): (36, 85)
(7, 1, 0, (0, 1, 1), -2): (77, 130)
(7, 1, 0, (0, 1, 1), -1): (81, 120)
(7, 1, 0, (0, 1, 1), 0): (114, 143)
(7, 1, 0, (0, 1, 1), 1): (121, 131)
(7, 1, 0, (0, 1, 1), 2): (133, 138)
(7, 1, 0, (0, 1, 1), 3): (92, 93)
(7, 1, 0, (0, 1, 1), 4): (77, 78)
(7, 1, 0, (0, 1, 1), 5): (60, 61)
(7, 1, 0, (0, 1, 1), 6): (41, 41)
(7, 1, 0, (0, 1, 1), 7): (29, 29)
(7, 1, 0, (0, 1, 1), 8): (15, 15)
(7, 1, 0, (0, 1, 1), 9): (16, 16)
(7, 1, 0, (0, 1, 1), 10): (2, 2)
(7, 1, 0, (0, 1, 1), 11): (4, 4)
(7, 1, 0, (0, 1, 1), 12): (2, 2)
(7, 1, 0, (0, 1, 1), 14): (2, 2)
(7, 1, 0, (0, 1, 1), 15): (1, 1)
(7, 1, 0, (0, 1, 1), 16): (2, 2)
(7, 1, 0, (0, 1, 1), 18): (1, 1)
(7, 1, 0, (1, 0, 0), -21): (0, 1)
(7, 1, 0, (1, 0, 0), -19): (0, 2)
(7, 1, 0, (1, 0, 0), -18): (0, 3)
(7, 1, 0, (1, 0, 0), -17): (0, 3)
(7, 1, 0, (1, 0, 0), -16): (0, 4)
(7, 1, 0, (1, 0, 0), -15): (0, 10)
(7, 1, 0, (1, 0, 0), -14): (0, 16)
(7, 1, 0, (1, 0, 0), -13): (0, 17)
(7, 1, 0, (1, 0, 0), -12): (0, 46)
(7, 1, 0, (1, 0, 0), -11): (0, 54)
(7, 1, 0, (1, 0, 0), -10): (0, 97)
(7, 1, 0, (1, 0, 0), -9): (0, 147)
(7, 1, 0, (1, 0, 0), -8): (1, 260)
(7, 1, 0, (1, 0, 0), -7): (13, 424)
(7, 1, 0, (1, 0, 0), -6): (13, 625)
(7, 1, 0, (1, 0, 0), -5): (53, 935)
(7, 1, 0, (1, 0, 0), -4): (108, 1333)
(7, 1, 0, (1, 0, 0), -3): (330, 1813)
(7, 1, 0, (1, 0, 0), -2): (690, 2368)
(7, 1, 0, (1, 0, 0), -1): (1311, 3007)
(7, 1, 0, (1, 0, 0), 0): (2211, 3296)
(7, 1, 0, (1, 0, 0), 1): (2403, 2819)
(7, 1, 0, (1, 0, 0), 2): (2160, 2331)
(7, 1, 0, (1, 0, 0), 3): (1713, 1776)
(7, 1, 0, (1, 0, 0), 4): (1258, 1288)
(7, 1, 0, (1, 0, 0), 5): (829, 835)
(7, 1, 0, (1, 0, 0), 6): (604, 606)
(7, 1, 0, (1, 0, 0), 7): (394, 395)
(7, 1, 0, (1, 0, 0), 8): (241, 241)
(7, 1, 0, (1, 0, 0), 9): (171, 171)
(7, 1, 0, (1, 0, 0), 10): (88, 88)
(7, 1, 0, (1, 0, 0), 11): (77, 77)
(7, 1, 0, (1, 0, 0), 12): (34, 34)
(7, 1, 0, (1, 0, 0), 13): (19, 19)
(7, 1, 0, (1, 0, 0), 14): (9, 9)
(7, 1, 0, (1, 0, 0), 15): (6, 6)
(7, 1, 0, (1, 0, 0), 16): (4, 4)
(7, 1, 0, (1, 0, 0), 17): (2, 2)
(7, 1, 0, (1, 0, 0), 18): (1, 1)
(7, 1, 0, (1, 0, 1), -17): (0, 1)
(7, 1, 0, (1, 0, 1), -16): (0, 1)
(7, 1, 0, (1, 0, 1), -15): (0, 1)
(7, 1, 0, (1, 0, 1), -14): (0, 1)
(7, 1, 0, (1, 0, 1), -13): (0, 1)
(7, 1, 0, (1, 0, 1), -12): (0, 3)
(7, 1, 0, (1, 0, 1), -11): (0, 2)
(7, 1, 0, (1, 0, 1), -10): (0, 6)
(7, 1, 0, (1, 0, 1), -9): (0, 13)
(7, 1, 0, (1, 0, 1), -8): (0, 15)
(7, 1, 0, (1, 0, 1), -7): (1, 33)
(7, 1, 0, (1, 0, 1), -6): (4, 44)
(7, 1, 0, (1, 0, 1), -5): (8, 70)
(7, 1, 0, (1, 0, 1), -4): (9, 107)
(7, 1, 0, (1, 0, 1), -3): (33, 141)
(7, 1, 0, (1, 0, 1), -2): (90, 186)
(7, 1, 0, (1, 0, 1), -1): (135, 222)
(7, 1, 0, (1, 0, 1), 0): (207, 252)
(7, 1, 0, (1, 0, 1), 1): (243, 260)
(7, 1, 0, (1, 0, 1), 2): (236, 243)
(7, 1, 0, (1, 0, 1), 3): (174, 175)
(7, 1, 0, (1, 0, 1), 4): (161, 162)
(7, 1, 0, (1, 0, 1), 5): (83, 83)
(7, 1, 0, (1, 0, 1), 6): (51, 51)
(7, 1, 0, (1, 0, 1), 7): (63, 63)
(7, 1, 0, (1, 0, 1), 8): (33, 33)
(7, 1, 0, (1, 0, 1), 9): (15, 15)
(7, 1, 0, (1, 0, 1), 10): (8, 8)
(7, 1, 0, (1, 0, 1), 11): (8, 8)
(7, 1, 0, (1, 0, 1), 12): (2, 2)
(7, 1, 0, (1, 0, 1), 15): (2, 2)
(7, 1, 0, (1, 0, 1), 17): (1, 1)
(7, 1, 0, (1, 0, 1), 18): (1, 1)
(7, 1, 0, (1, 1, 0), -19): (0, 1)
(7, 1, 0, (1, 1, 0), -17): (0, 1)
(7, 1, 0, (1, 1, 0), -16): (0, 1)
(7, 1, 0, (1, 1, 0), -15): (0, 1)
(7, 1, 0, (1, 1, 0), -14): (0, 6)
(7, 1, 0, (1, 1, 0), -13): (0, 5)
(7, 1, 0, (1, 1, 0), -12): (0, 10)
(7, 1, 0, (1, 1, 0), -11): (0, 9)
(7, 1, 0, (1, 1, 0), -10): (0, 25)
(7, 1, 0, (1, 1, 0), -9): (0, 36)
(7, 1, 0, (1, 1, 0), -8): (1, 60)
(7, 1, 0, (1, 1, 0), -7): (6, 114)
(7, 1, 0, (1, 1, 0), -6): (4, 170)
(7, 1, 0, (1, 1, 0), -5): (21, 230)
(7, 1, 0, (1, 1, 0), -4): (48, 344)
(7, 1, 0, (1, 1, 0), -3): (136, 490)
(7, 1, 0, (1, 1, 0), -2): (228, 612)
(7, 1, 0, (1, 1, 0), -1): (294, 535)
(7, 1, 0, (1, 1, 0), 0): (411, 551)
(7, 1, 0, (1, 1, 0), 1): (423, 486)
(7, 1, 0, (1, 1, 0), 2): (412, 437)
(7, 1, 0, (1, 1, 0), 3): (365, 380)
(7, 1, 0, (1, 1, 0), 4): (303, 312)
(7, 1, 0, (1, 1, 0), 5): (228, 229)
(7, 1, 0, (1, 1, 0), 6): (176, 177)
(7, 1, 0, (1, 1, 0), 7): (85, 85)
(7, 1, 0, (1, 1, 0), 8): (93, 93)
(7, 1, 0, (1, 1, 0), 9): (62, 62)
(7, 1, 0, (1, 1, 0), 10): (23, 23)
(7, 1, 0, (1, 1, 0), 11): (22, 22)
(7, 1, 0, (1, 1, 0), 12): (9, 9)
(7, 1, 0, (1, 1, 0), 13): (9, 9)
(7, 1, 0, (1, 1, 0), 14): (2, 2)
(7, 1, 0, (1, 1, 0), 15): (2, 2)
(7, 1, 0, (1, 1, 0), 18): (2, 2)
(7, 1, 0, (1, 1, 1), -14): (0, 1)
(7, 1, 0, (1, 1, 1), -13): (0, 2)
(7, 1, 0, (1, 1, 1), -12): (0, 1)
(7, 1, 0, (1, 1, 1), -11): (0, 1)
(7, 1, 0, (1, 1, 1), -10): (0, 10)
(7, 1, 0, (1, 1, 1), -9): (0, 11)
(7, 1, 0, (1, 1, 1), -8): (0, 13)
(7, 1, 0, (1, 1, 1), -7): (3, 16)
(7, 1, 0, (1, 1, 1), -6): (2, 35)
(7, 1, 0, (1, 1, 1), -5): (11, 60)
(7, 1, 0, (1, 1, 1), -4): (15, 76)
(7, 1, 0, (1, 1, 1), -3): (32, 100)
(7, 1, 0, (1, 1, 1), -2): (86, 157)
(7, 1, 0, (1, 1, 1), -1): (93, 128)
(7, 1, 0, (1, 1, 1), 0): (166, 197)
(7, 1, 0, (1, 1, 1), 1): (153, 164)
(7, 1, 0, (1, 1, 1), 2): (143, 150)
(7, 1, 0, (1, 1, 1), 3): (118, 120)
(7, 1, 0, (1, 1, 1), 4): (108, 109)
(7, 1, 0, (1, 1, 1), 5): (80, 80)
(7, 1, 0, (1, 1, 1), 6): (55, 55)
(7, 1, 0, (1, 1, 1), 7): (34, 34)
(7, 1, 0, (1, 1, 1), 8): (17, 17)
(7, 1, 0, (1, 1, 1), 9): (15, 15)
(7, 1, 0, (1, 1, 1), 10): (7, 7)
(7, 1, 0, (1, 1, 1), 11): (4, 4)
(7, 1, 0, (1, 1, 1), 12): (3, 3)
(7, 1, 0, (1, 1, 1), 13): (3, 3)
(7, 1, 1, (0, 0, 0), -22): (0, 1)
(7, 1, 1, (0, 0, 0), -20): (0, 1)
(7, 1, 1, (0, 0, 0), -19): (0, 1)
(7, 1, 1, (0, 0, 0), -18): (0, 1)
(7, 1, 1, (0, 0, 0), -17): (0, 5)
(7, 1, 1, (0, 0, 0), -16): (0, 10)
(7, 1, 1, (0, 0, 0), -15): (0, 17)
(7, 1, 1, (0, 0, 0), -14): (0, 29)
(7, 1, 1, (0, 0, 0), -13): (0, 45)
(7, 1, 1, (0, 0, 0), -12): (0, 107)
(7, 1, 1, (0, 0, 0), -11): (1, 168)
(7, 1, 1, (0, 0, 0), -10): (0, 248)
(7, 1, 1, (0, 0, 0), -9): (0, 409)
(7, 1, 1, (0, 0, 0), -8): (1, 717)
(7, 1, 1, (0, 0, 0), -7): (6, 1097)
(7, 1, 1, (0, 0, 0), -6): (16, 1683)
(7, 1, 1, (0, 0, 0), -5): (71, 2576)
(7, 1, 1, (0, 0, 0), -4): (168, 3548)
(7, 1, 1, (0, 0, 0), -3): (399, 4932)
(7, 1, 1, (0, 0, 0), -2): (1133, 6566)
(7, 1, 1, (0, 0, 0), -1): (2404, 7878)
(7, 1, 1, (0, 0, 0), 0): (4820, 8567)
(7, 1, 1, (0, 0, 0), 1): (6171, 7745)
(7, 1, 1, (0, 0, 0), 2): (5851, 6481)
(7, 1, 1, (0, 0, 0), 3): (4669, 4885)
(7, 1, 1, (0, 0, 0), 4): (3408, 3493)
(7, 1, 1, (0, 0, 0), 5): (2478, 2507)
(7, 1, 1, (0, 0, 0), 6): (1662, 1671)
(7, 1, 1, (0, 0, 0), 7): (1070, 1072)
(7, 1, 1, (0, 0, 0), 8): (695, 696)
(7, 1, 1, (0, 0, 0), 9): (435, 435)
(7, 1, 1, (0, 0, 0), 10): (294, 295)
(7, 1, 1, (0, 0, 0), 11): (167, 167)
(7, 1, 1, (0, 0, 0), 12): (80, 80)
(7, 1, 1, (0, 0, 0), 13): (49, 49)
(7, 1, 1, (0, 0, 0), 14): (31, 31)
(7, 1, 1, (0, 0, 0), 15): (16, 16)
(7, 1, 1, (0, 0, 0), 16): (10, 10)
(7, 1, 1, (0, 0, 0), 17): (3, 3)
(7, 1, 1, (0, 0, 0), 18): (1, 1)
(7, 1, 1, (0, 0, 0), 19): (1, 1)
(7, 1, 1, (0, 0, 0), 20): (2, 2)
(7, 1, 1, (0, 0, 0), 21): (1, 1)
(7, 1, 1, (0, 0, 1), -14): (0, 1)
(7, 1, 1, (0, 0, 1), -13): (0, 3)
(7, 1, 1, (0, 0, 1), -12): (0, 4)
(7, 1, 1, (0, 0, 1), -11): (0, 8)
(7, 1, 1, (0, 0, 1), -10): (0, 12)
(7, 1, 1, (0, 0, 1), -9): (0, 19)
(7, 1, 1, (0, 0, 1), -8): (0, 30)
(7, 1, 1, (0, 0, 1), -7): (1, 45)
(7, 1, 1, (0, 0, 1), -6): (2, 71)
(7, 1, 1, (0, 0, 1), -5): (4, 90)
(7, 1, 1, (0, 0, 1), -4): (11, 147)
(7, 1, 1, (0, 0, 1), -3): (32, 202)
(7, 1, 1, (0, 0, 1), -2): (84, 286)
(7, 1, 1, (0, 0, 1), -1): (255, 522)
(7, 1, 1, (0, 0, 1), 0): (434, 614)
(7, 1, 1, (0, 0, 1), 1): (499, 572)
(7, 1, 1, (0, 0, 1), 2): (507, 546)
(7, 1, 1, (0, 0, 1), 3): (398, 412)
(7, 1, 1, (0, 0, 1), 4): (326, 330)
(7, 1, 1, (0, 0, 1), 5): (199, 199)
(7, 1, 1, (0, 0, 1), 6): (119, 120)
(7, 1, 1, (0, 0, 1), 7): (67, 67)
(7, 1, 1, (0, 0, 1), 8): (57, 57)
(7, 1, 1, (0, 0, 1), 9): (34, 34)
(7, 1, 1, (0, 0, 1), 10): (18, 18)
(7, 1, 1, (0, 0, 1), 11): (13, 13)
(7, 1, 1, (0, 0, 1), 12): (9, 9)
(7, 1, 1, (0, 0, 1), 13): (3, 3)
(7, 1, 1, (0, 0, 1), 14): (2, 2)
(7, 1, 1, (0, 0, 1), 15): (1, 1)
(7, 1, 1, (0, 0, 1), 16): (1, 1)
(7, 1, 1, (0, 0, 1), 17): (2, 2)
(7, 1, 1, (0, 1, 0), -18): (0, 1)
(7, 1, 1, (0, 1, 0), -16): (0, 1)
(7, 1, 1, (0, 1, 0), -15): (0, 3)
(7, 1, 1, (0, 1, 0), -14): (0, 3)
(7, 1, 1, (0, 1, 0), -13): (0, 5)
(7, 1, 1, (0, 1, 0), -12): (0, 17)
(7, 1, 1, (0, 1, 0), -11): (0, 19)
(7, 1, 1, (0, 1, 0), -10): (0, 43)
(7, 1, 1, (0, 1, 0), -9): (0, 58)
(7, 1, 1, (0, 1, 0), -8): (1, 102)
(7, 1, 1, (0, 1, 0), -7): (1, 131)
(7, 1, 1, (0, 1, 0), -6): (9, 218)
(7, 1, 1, (0, 1, 0), -5): (17, 337)
(7, 1, 1, (0, 1, 0), -4): (28, 472)
(7, 1, 1, (0, 1, 0), -3): (76, 708)
(7, 1, 1, (0, 1, 0), -2): (203, 892)
(7, 1, 1, (0, 1, 0), -1): (735, 1773)
(7, 1, 1, (0, 1, 0), 0): (1445, 2199)
(7, 1, 1, (0, 1, 0), 1): (1622, 1916)
(7, 1, 1, (0, 1, 0), 2): (1517, 1621)
(7, 1, 1, (0, 1, 0), 3): (1154, 1201)
(7, 1, 1, (0, 1, 0), 4): (811, 824)
(7, 1, 1, (0, 1, 0), 5): (513, 517)
(7, 1, 1, (0, 1, 0), 6): (302, 303)
(7, 1, 1, (0, 1, 0), 7): (207, 207)
(7, 1, 1, (0, 1, 0), 8): (140, 140)
(7, 1, 1, (0, 1, 0), 9): (85, 85)
(7, 1, 1, (0, 1, 0), 10): (52, 52)
(7, 1, 1, (0, 1, 0), 11): (46, 46)
(7, 1, 1, (0, 1, 0), 12): (24, 24)
(7, 1, 1, (0, 1, 0), 13): (11, 11)
(7, 1, 1, (0, 1, 0), 14): (8, 8)
(7, 1, 1, (0, 1, 0), 15): (2, 2)
(7, 1, 1, (0, 1, 0), 16): (3, 3)
(7, 1, 1, (0, 1, 0), 17): (1, 1)
(7, 1, 1, (0, 1, 0), 18): (1, 1)
(7, 1, 1, (0, 1, 0), 20): (1, 1)
(7, 1, 1, (0, 1, 0), 21): (1, 1)
(7, 1, 1, (0, 1, 1), -19): (0, 1)
(7, 1, 1, (0, 1, 1), -17): (0, 1)
(7, 1, 1, (0, 1, 1), -16): (0, 2)
(7, 1, 1, (0, 1, 1), -15): (0, 1)
(7, 1, 1, (0, 1, 1), -14): (0, 4)
(7, 1, 1, (0, 1, 1), -13): (0, 1)
(7, 1, 1, (0, 1, 1), -12): (0, 7)
(7, 1, 1, (0, 1, 1), -11): (0, 9)
(7, 1, 1, (0, 1, 1), -10): (0, 7)
(7, 1, 1, (0, 1, 1), -9): (0, 17)
(7, 1, 1, (0, 1, 1), -8): (0, 19)
(7, 1, 1, (0, 1, 1), -7): (2, 33)
(7, 1, 1, (0, 1, 1), -6): (3, 54)
(7, 1, 1, (0, 1, 1), -5): (9, 92)
(7, 1, 1, (0, 1, 1), -4): (14, 132)
(7, 1, 1, (0, 1, 1), -3): (45, 199)
(7, 1, 1, (0, 1, 1), -2): (143, 368)
(7, 1, 1, (0, 1, 1), -1): (229, 401)
(7, 1, 1, (0, 1, 1), 0): (322, 418)
(7, 1, 1, (0, 1, 1), 1): (419, 480)
(7, 1, 1, (0, 1, 1), 2): (397, 420)
(7, 1, 1, (0, 1, 1), 3): (307, 316)
(7, 1, 1, (0, 1, 1), 4): (249, 255)
(7, 1, 1, (0, 1, 1), 5): (152, 154)
(7, 1, 1, (0, 1, 1), 6): (114, 115)
(7, 1, 1, (0, 1, 1), 7): (85, 85)
(7, 1, 1, (0, 1, 1), 8): (47, 47)
(7, 1, 1, (0, 1, 1), 9): (41, 41)
(7, 1, 1, (0, 1, 1), 10): (18, 19)
(7, 1, 1, (0, 1, 1), 11): (8, 8)
(7, 1, 1, (0, 1, 1), 12): (10, 10)
(7, 1, 1, (0, 1, 1), 13): (5, 5)
(7, 1, 1, (0, 1, 1), 14): (2, 2)
(7, 1, 1, (0, 1, 1), 18): (1, 1)
(7, 1, 1, (1, 0, 0), -21): (0, 1)
(7, 1, 1, (1, 0, 0), -19): (0, 1)
(7, 1, 1, (1, 0, 0), -18): (0, 2)
(7, 1, 1, (1, 0, 0), -17): (0, 4)
(7, 1, 1, (1, 0, 0), -16): (0, 5)
(7, 1, 1, (1, 0, 0), -15): (0, 8)
(7, 1, 1, (1, 0, 0), -14): (0, 16)
(7, 1, 1, (1, 0, 0), -13): (0, 16)
(7, 1, 1, (1, 0, 0), -12): (0, 46)
(7, 1, 1, (1, 0, 0), -11): (0, 77)
(7, 1, 1, (1, 0, 0), -10): (0, 127)
(7, 1, 1, (1, 0, 0), -9): (0, 162)
(7, 1, 1, (1, 0, 0), -8): (0, 302)
(7, 1, 1, (1, 0, 0), -7): (6, 468)
(7, 1, 1, (1, 0, 0), -6): (11, 745)
(7, 1, 1, (1, 0, 0), -5): (40, 1153)
(7, 1, 1, (1, 0, 0), -4): (96, 1551)
(7, 1, 1, (1, 0, 0), -3): (249, 2166)
(7, 1, 1, (1, 0, 0), -2): (624, 2790)
(7, 1, 1, (1, 0, 0), -1): (1160, 3279)
(7, 1, 1, (1, 0, 0), 0): (2115, 3435)
(7, 1, 1, (1, 0, 0), 1): (2535, 3041)
(7, 1, 1, (1, 0, 0), 2): (2406, 2638)
(7, 1, 1, (1, 0, 0), 3): (1996, 2067)
(7, 1, 1, (1, 0, 0), 4): (1526, 1564)
(7, 1, 1, (1, 0, 0), 5): (1092, 1104)
(7, 1, 1, (1, 0, 0), 6): (795, 799)
(7, 1, 1, (1, 0, 0), 7): (507, 510)
(7, 1, 1, (1, 0, 0), 8): (334, 335)
(7, 1, 1, (1, 0, 0), 9): (238, 238)
(7, 1, 1, (1, 0, 0), 10): (132, 133)
(7, 1, 1, (1, 0, 0), 11): (86, 86)
(7, 1, 1, (1, 0, 0), 12): (53, 53)
(7, 1, 1, (1, 0, 0), 13): (17, 17)
(7, 1, 1, (1, 0, 0), 14): (14, 14)
(7, 1, 1, (1, 0, 0), 15): (10, 10)
(7, 1, 1, (1, 0, 0), 16): (8, 8)
(7, 1, 1, (1, 0, 0), 17): (2, 2)
(7, 1, 1, (1, 0, 0), 18): (1, 1)
(7, 1, 1, (1, 0, 0), 20): (1, 1)
(7, 1, 1, (1, 0, 0), 21): (1, 1)
(7, 1, 1, (1, 0, 1), -17): (0, 1)
(7, 1, 1, (1, 0, 1), -15): (0, 3)
(7, 1, 1, (1, 0, 1), -14): (0, 3)
(7, 1, 1, (1, 0, 1), -13): (0, 6)
(7, 1, 1, (1, 0, 1), -12): (0, 4)
(7, 1, 1, (1, 0, 1), -11): (0, 4)
(7, 1, 1, (1, 0, 1), -10): (0, 21)
(7, 1, 1, (1, 0, 1), -9): (0, 25)
(7, 1, 1, (1, 0, 1), -8): (1, 48)
(7, 1, 1, (1, 0, 1), -7): (0, 57)
(7, 1, 1, (1, 0, 1), -6): (3, 89)
(7, 1, 1, (1, 0, 1), -5): (7, 141)
(7, 1, 1, (1, 0, 1), -4): (25, 218)
(7, 1, 1, (1, 0, 1), -3): (57, 314)
(7, 1, 1, (1, 0, 1), -2): (123, 378)
(7, 1, 1, (1, 0, 1), -1): (281, 528)
(7, 1, 1, (1, 0, 1), 0): (529, 696)
(7, 1, 1, (1, 0, 1), 1): (528, 613)
(7, 1, 1, (1, 0, 1), 2): (525, 550)
(7, 1, 1, (1, 0, 1), 3): (454, 465)
(7, 1, 1, (1, 0, 1), 4): (343, 348)
(7, 1, 1, (1, 0, 1), 5): (243, 243)
(7, 1, 1, (1, 0, 1), 6): (176, 176)
(7, 1, 1, (1, 0, 1), 7): (113, 113)
(7, 1, 1, (1, 0, 1), 8): (73, 73)
(7, 1, 1, (1, 0, 1), 9): (43, 43)
(7, 1, 1, (1, 0, 1), 10): (19, 19)
(7, 1, 1, (1, 0, 1), 11): (20, 20)
(7, 1, 1, (1, 0, 1), 12): (15, 15)
(7, 1, 1, (1, 0, 1), 13): (6, 6)
(7, 1, 1, (1, 0, 1), 14): (7, 7)
(7, 1, 1, (1, 0, 1), 15): (2, 2)
(7, 1, 1, (1, 0, 1), 18): (1, 1)
(7, 1, 1, (1, 1, 0), -18): (0, 1)
(7, 1, 1, (1, 1, 0), -17): (0, 3)
(7, 1, 1, (1, 1, 0), -16): (0, 1)
(7, 1, 1, (1, 1, 0), -15): (0, 3)
(7, 1, 1, (1, 1, 0), -14): (0, 3)
(7, 1, 1, (1, 1, 0), -13): (0, 6)
(7, 1, 1, (1, 1, 0), -12): (0, 16)
(7, 1, 1, (1, 1, 0), -11): (0, 24)
(7, 1, 1, (1, 1, 0), -10): (0, 34)
(7, 1, 1, (1, 1, 0), -9): (0, 57)
(7, 1, 1, (1, 1, 0), -8): (0, 89)
(7, 1, 1, (1, 1, 0), -7): (4, 181)
(7, 1, 1, (1, 1, 0), -6): (6, 274)
(7, 1, 1, (1, 1, 0), -5): (18, 368)
(7, 1, 1, (1, 1, 0), -4): (49, 550)
(7, 1, 1, (1, 1, 0), -3): (150, 816)
(7, 1, 1, (1, 1, 0), -2): (294, 966)
(7, 1, 1, (1, 1, 0), -1): (517, 1110)
(7, 1, 1, (1, 1, 0), 0): (922, 1388)
(7, 1, 1, (1, 1, 0), 1): (1060, 1251)
(7, 1, 1, (1, 1, 0), 2): (965, 1033)
(7, 1, 1, (1, 1, 0), 3): (828, 854)
(7, 1, 1, (1, 1, 0), 4): (635, 649)
(7, 1, 1, (1, 1, 0), 5): (477, 481)
(7, 1, 1, (1, 1, 0), 6): (333, 335)
(7, 1, 1, (1, 1, 0), 7): (211, 212)
(7, 1, 1, (1, 1, 0), 8): (153, 153)
(7, 1, 1, (1, 1, 0), 9): (105, 106)
(7, 1, 1, (1, 1, 0), 10): (72, 72)
(7, 1, 1, (1, 1, 0), 11): (49, 49)
(7, 1, 1, (1, 1, 0), 12): (25, 25)
(7, 1, 1, (1, 1, 0), 13): (10, 10)
(7, 1, 1, (1, 1, 0), 14): (6, 6)
(7, 1, 1, (1, 1, 0), 15): (5, 5)
(7, 1, 1, (1, 1, 0), 16): (3, 3)
(7, 1, 1, (1, 1, 0), 18): (1, 1)
(7, 1, 1, (1, 1, 1), -16): (0, 1)
(7, 1, 1, (1, 1, 1), -15): (0, 1)
(7, 1, 1, (1, 1, 1), -14): (0, 1)
(7, 1, 1, (1, 1, 1), -13): (0, 2)
(7, 1, 1, (1, 1, 1), -12): (0, 5)
(7, 1, 1, (1, 1, 1), -11): (0, 9)
(7, 1, 1, (1, 1, 1), -10): (0, 6)
(7, 1, 1, (1, 1, 1), -9): (0, 14)
(7, 1, 1, (1, 1, 1), -8): (1, 20)
(7, 1, 1, (1, 1, 1), -7): (0, 34)
(7, 1, 1, (1, 1, 1), -6): (2, 61)
(7, 1, 1, (1, 1, 1), -5): (8, 89)
(7, 1, 1, (1, 1, 1), -4): (27, 140)
(7, 1, 1, (1, 1, 1), -3): (59, 231)
(7, 1, 1, (1, 1, 1), -2): (116, 280)
(7, 1, 1, (1, 1, 1), -1): (241, 415)
(7, 1, 1, (1, 1, 1), 0): (435, 563)
(7, 1, 1, (1, 1, 1), 1): (469, 531)
(7, 1, 1, (1, 1, 1), 2): (466, 495)
(7, 1, 1, (1, 1, 1), 3): (410, 419)
(7, 1, 1, (1, 1, 1), 4): (285, 289)
(7, 1, 1, (1, 1, 1), 5): (196, 198)
(7, 1, 1, (1, 1, 1), 6): (138, 139)
(7, 1, 1, (1, 1, 1), 7): (100, 101)
(7, 1, 1, (1, 1, 1), 8): (48, 48)
(7, 1, 1, (1, 1, 1), 9): (36, 36)
(7, 1, 1, (1, 1, 1), 10): (20, 20)
(7, 1, 1, (1, 1, 1), 11): (12, 12)
(7, 1, 1, (1, 1, 1), 12): (10, 10)
(7, 1, 1, (1, 1, 1), 13): (7, 7)
(7, 1, 1, (1, 1, 1), 14): (2, 2)
(7, 1, 2, (0, 0, 0), -22): (0, 1)
(7, 1, 2, (0, 0, 0), -20): (0, 1)
(7, 1, 2, (0, 0, 0), -19): (0, 1)
(7, 1, 2, (0, 0, 0), -18): (0, 1)
(7, 1, 2, (0, 0, 0), -17): (0, 3)
(7, 1, 2, (0, 0, 0), -16): (0, 7)
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(7, 1, 2, (0, 0, 0), -14): (0, 21)
(7, 1, 2, (0, 0, 0), -13): (0, 38)
(7, 1, 2, (0, 0, 0), -12): (0, 80)
(7, 1, 2, (0, 0, 0), -11): (1, 125)
(7, 1, 2, (0, 0, 0), -10): (0, 173)
(7, 1, 2, (0, 0, 0), -9): (0, 314)
(7, 1, 2, (0, 0, 0), -8): (0, 550)
(7, 1, 2, (0, 0, 0), -7): (2, 827)
(7, 1, 2, (0, 0, 0), -6): (8, 1275)
(7, 1, 2, (0, 0, 0), -5): (38, 1916)
(7, 1, 2, (0, 0, 0), -4): (102, 2686)
(7, 1, 2, (0, 0, 0), -3): (241, 3693)
(7, 1, 2, (0, 0, 0), -2): (726, 5071)
(7, 1, 2, (0, 0, 0), -1): (1597, 5871)
(7, 1, 2, (0, 0, 0), 0): (3493, 6539)
(7, 1, 2, (0, 0, 0), 1): (4816, 6194)
(7, 1, 2, (0, 0, 0), 2): (4536, 5073)
(7, 1, 2, (0, 0, 0), 3): (3791, 3993)
(7, 1, 2, (0, 0, 0), 4): (2788, 2857)
(7, 1, 2, (0, 0, 0), 5): (2071, 2092)
(7, 1, 2, (0, 0, 0), 6): (1409, 1416)
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(7, 1, 2, (0, 0, 0), 8): (590, 590)
(7, 1, 2, (0, 0, 0), 9): (347, 347)
(7, 1, 2, (0, 0, 0), 10): (270, 270)
(7, 1, 2, (0, 0, 0), 11): (150, 150)
(7, 1, 2, (0, 0, 0), 12): (79, 79)
(7, 1, 2, (0, 0, 0), 13): (63, 63)
(7, 1, 2, (0, 0, 0), 14): (28, 28)
(7, 1, 2, (0, 0, 0), 15): (21, 21)
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(7, 1, 2, (0, 0, 1), -10): (0, 11)
(7, 1, 2, (0, 0, 1), -9): (0, 31)
(7, 1, 2, (0, 0, 1), -8): (0, 45)
(7, 1, 2, (0, 0, 1), -7): (0, 62)
(7, 1, 2, (0, 0, 1), -6): (2, 96)
(7, 1, 2, (0, 0, 1), -5): (6, 146)
(7, 1, 2, (0, 0, 1), -4): (8, 236)
(7, 1, 2, (0, 0, 1), -3): (24, 323)
(7, 1, 2, (0, 0, 1), -2): (83, 453)
(7, 1, 2, (0, 0, 1), -1): (251, 766)
(7, 1, 2, (0, 0, 1), 0): (509, 865)
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(7, 1, 2, (0, 0, 1), 2): (640, 699)
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(7, 1, 2, (0, 0, 1), 4): (452, 459)
(7, 1, 2, (0, 0, 1), 5): (277, 278)
(7, 1, 2, (0, 0, 1), 6): (182, 183)
(7, 1, 2, (0, 0, 1), 7): (144, 144)
(7, 1, 2, (0, 0, 1), 8): (102, 102)
(7, 1, 2, (0, 0, 1), 9): (71, 71)
(7, 1, 2, (0, 0, 1), 10): (28, 28)
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(7, 1, 2, (0, 1, 0), -12): (0, 17)
(7, 1, 2, (0, 1, 0), -11): (0, 27)
(7, 1, 2, (0, 1, 0), -10): (0, 56)
(7, 1, 2, (0, 1, 0), -9): (0, 59)
(7, 1, 2, (0, 1, 0), -8): (0, 133)
(7, 1, 2, (0, 1, 0), -7): (0, 163)
(7, 1, 2, (0, 1, 0), -6): (9, 267)
(7, 1, 2, (0, 1, 0), -5): (13, 434)
(7, 1, 2, (0, 1, 0), -4): (33, 579)
(7, 1, 2, (0, 1, 0), -3): (67, 837)
(7, 1, 2, (0, 1, 0), -2): (227, 1192)
(7, 1, 2, (0, 1, 0), -1): (574, 1774)
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(7, 1, 2, (0, 1, 0), 2): (1546, 1685)
(7, 1, 2, (0, 1, 0), 3): (1327, 1385)
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(7, 1, 2, (0, 1, 0), 5): (735, 743)
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(7, 1, 2, (0, 1, 0), 7): (293, 293)
(7, 1, 2, (0, 1, 0), 8): (204, 204)
(7, 1, 2, (0, 1, 0), 9): (153, 153)
(7, 1, 2, (0, 1, 0), 10): (86, 86)
(7, 1, 2, (0, 1, 0), 11): (56, 56)
(7, 1, 2, (0, 1, 0), 12): (32, 32)
(7, 1, 2, (0, 1, 0), 13): (21, 21)
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(7, 1, 2, (0, 1, 1), -11): (0, 6)
(7, 1, 2, (0, 1, 1), -10): (0, 9)
(7, 1, 2, (0, 1, 1), -9): (0, 17)
(7, 1, 2, (0, 1, 1), -8): (0, 27)
(7, 1, 2, (0, 1, 1), -7): (1, 39)
(7, 1, 2, (0, 1, 1), -6): (2, 63)
(7, 1, 2, (0, 1, 1), -5): (4, 130)
(7, 1, 2, (0, 1, 1), -4): (12, 147)
(7, 1, 2, (0, 1, 1), -3): (29, 231)
(7, 1, 2, (0, 1, 1), -2): (86, 329)
(7, 1, 2, (0, 1, 1), -1): (147, 347)
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(7, 1, 2, (0, 1, 1), 1): (465, 572)
(7, 1, 2, (0, 1, 1), 2): (418, 454)
(7, 1, 2, (0, 1, 1), 3): (371, 388)
(7, 1, 2, (0, 1, 1), 4): (293, 300)
(7, 1, 2, (0, 1, 1), 5): (226, 227)
(7, 1, 2, (0, 1, 1), 6): (163, 164)
(7, 1, 2, (0, 1, 1), 7): (100, 100)
(7, 1, 2, (0, 1, 1), 8): (60, 60)
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(7, 1, 2, (0, 1, 1), 10): (23, 24)
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(7, 1, 2, (1, 0, 0), -13): (0, 16)
(7, 1, 2, (1, 0, 0), -12): (0, 41)
(7, 1, 2, (1, 0, 0), -11): (1, 75)
(7, 1, 2, (1, 0, 0), -10): (0, 123)
(7, 1, 2, (1, 0, 0), -9): (0, 156)
(7, 1, 2, (1, 0, 0), -8): (0, 310)
(7, 1, 2, (1, 0, 0), -7): (0, 490)
(7, 1, 2, (1, 0, 0), -6): (6, 736)
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(7, 1, 2, (1, 0, 0), -4): (72, 1561)
(7, 1, 2, (1, 0, 0), -3): (175, 2070)
(7, 1, 2, (1, 0, 0), -2): (470, 2711)
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(7, 1, 2, (1, 0, 1), -5): (12, 199)
(7, 1, 2, (1, 0, 1), -4): (17, 267)
(7, 1, 2, (1, 0, 1), -3): (38, 379)
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(7, 1, 2, (1, 1, 0), -8): (0, 93)
(7, 1, 2, (1, 1, 0), -7): (1, 196)
(7, 1, 2, (1, 1, 0), -6): (3, 309)
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(7, 1, 2, (1, 1, 0), -3): (79, 842)
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(8, 0, 0, (0, 0, 0), -9): (1, 819)
(8, 0, 0, (0, 0, 0), -8): (2, 1284)
(8, 0, 0, (0, 0, 0), -7): (2, 1868)
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(8, 0, 0, (0, 0, 0), -5): (45, 4128)
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(8, 0, 0, (0, 0, 0), -3): (383, 7297)
(8, 0, 0, (0, 0, 0), -2): (970, 9179)
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(8, 0, 0, (0, 0, 0), 8): (937, 937)
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(8, 0, 0, (0, 0, 0), 12): (137, 137)
(8, 0, 0, (0, 0, 0), 13): (62, 62)
(8, 0, 0, (0, 0, 0), 14): (44, 44)
(8, 0, 0, (0, 0, 0), 15): (28, 28)
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(8, 0, 0, (0, 0, 1), -6): (0, 25)
(8, 0, 0, (0, 0, 1), -5): (0, 37)
(8, 0, 0, (0, 0, 1), -4): (2, 43)
(8, 0, 0, (0, 0, 1), -3): (6, 63)
(8, 0, 0, (0, 0, 1), -2): (15, 87)
(8, 0, 0, (0, 0, 1), -1): (44, 110)
(8, 0, 0, (0, 0, 1), 0): (86, 123)
(8, 0, 0, (0, 0, 1), 1): (141, 165)
(8, 0, 0, (0, 0, 1), 2): (123, 133)
(8, 0, 0, (0, 0, 1), 3): (105, 107)
(8, 0, 0, (0, 0, 1), 4): (77, 77)
(8, 0, 0, (0, 0, 1), 5): (63, 63)
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(8, 0, 0, (0, 1, 0), -9): (0, 36)
(8, 0, 0, (0, 1, 0), -8): (0, 82)
(8, 0, 0, (0, 1, 0), -7): (0, 100)
(8, 0, 0, (0, 1, 0), -6): (0, 158)
(8, 0, 0, (0, 1, 0), -5): (8, 236)
(8, 0, 0, (0, 1, 0), -4): (17, 287)
(8, 0, 0, (0, 1, 0), -3): (44, 373)
(8, 0, 0, (0, 1, 0), -2): (97, 517)
(8, 0, 0, (0, 1, 0), -1): (230, 624)
(8, 0, 0, (0, 1, 0), 0): (445, 730)
(8, 0, 0, (0, 1, 0), 1): (625, 744)
(8, 0, 0, (0, 1, 0), 2): (579, 648)
(8, 0, 0, (0, 1, 0), 3): (479, 493)
(8, 0, 0, (0, 1, 0), 4): (374, 384)
(8, 0, 0, (0, 1, 0), 5): (257, 260)
(8, 0, 0, (0, 1, 0), 6): (162, 163)
(8, 0, 0, (0, 1, 0), 7): (91, 92)
(8, 0, 0, (0, 1, 0), 8): (70, 70)
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(8, 0, 0, (0, 1, 1), -6): (1, 40)
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(8, 0, 0, (0, 1, 1), -2): (37, 115)
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(8, 0, 0, (0, 1, 1), 5): (61, 62)
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(8, 0, 0, (1, 0, 0), -8): (1, 318)
(8, 0, 0, (1, 0, 0), -7): (2, 462)
(8, 0, 0, (1, 0, 0), -6): (8, 716)
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(8, 0, 0, (1, 0, 0), -4): (64, 1350)
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(8, 0, 0, (1, 0, 0), -2): (375, 2309)
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(8, 0, 1, (0, 1, 0), 5): (510, 516)
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(8, 0, 1, (0, 1, 1), -3): (20, 171)
(8, 0, 1, (0, 1, 1), -2): (72, 283)
(8, 0, 1, (0, 1, 1), -1): (170, 382)
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(8, 0, 1, (0, 1, 1), 2): (347, 370)
(8, 0, 1, (0, 1, 1), 3): (284, 297)
(8, 0, 1, (0, 1, 1), 4): (242, 249)
(8, 0, 1, (0, 1, 1), 5): (158, 158)
(8, 0, 1, (0, 1, 1), 6): (101, 102)
(8, 0, 1, (0, 1, 1), 7): (80, 80)
(8, 0, 1, (0, 1, 1), 8): (51, 51)
(8, 0, 1, (0, 1, 1), 9): (18, 18)
(8, 0, 1, (0, 1, 1), 10): (16, 16)
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(8, 0, 1, (0, 1, 1), 12): (8, 8)
(8, 0, 1, (0, 1, 1), 13): (5, 5)
(8, 0, 1, (0, 1, 1), 15): (4, 4)
(8, 0, 1, (1, 0, 0), -22): (0, 1)
(8, 0, 1, (1, 0, 0), -21): (0, 1)
(8, 0, 1, (1, 0, 0), -20): (0, 1)
(8, 0, 1, (1, 0, 0), -19): (0, 2)
(8, 0, 1, (1, 0, 0), -18): (0, 1)
(8, 0, 1, (1, 0, 0), -17): (0, 4)
(8, 0, 1, (1, 0, 0), -16): (0, 9)
(8, 0, 1, (1, 0, 0), -15): (0, 10)
(8, 0, 1, (1, 0, 0), -14): (0, 25)
(8, 0, 1, (1, 0, 0), -13): (0, 32)
(8, 0, 1, (1, 0, 0), -12): (0, 49)
(8, 0, 1, (1, 0, 0), -11): (0, 102)
(8, 0, 1, (1, 0, 0), -10): (0, 157)
(8, 0, 1, (1, 0, 0), -9): (0, 230)
(8, 0, 1, (1, 0, 0), -8): (1, 377)
(8, 0, 1, (1, 0, 0), -7): (1, 526)
(8, 0, 1, (1, 0, 0), -6): (3, 812)
(8, 0, 1, (1, 0, 0), -5): (11, 1222)
(8, 0, 1, (1, 0, 0), -4): (49, 1674)
(8, 0, 1, (1, 0, 0), -3): (123, 2162)
(8, 0, 1, (1, 0, 0), -2): (301, 2829)
(8, 0, 1, (1, 0, 0), -1): (730, 3186)
(8, 0, 1, (1, 0, 0), 0): (1634, 3328)
(8, 0, 1, (1, 0, 0), 1): (2197, 2924)
(8, 0, 1, (1, 0, 0), 2): (2130, 2485)
(8, 0, 1, (1, 0, 0), 3): (1870, 1982)
(8, 0, 1, (1, 0, 0), 4): (1446, 1499)
(8, 0, 1, (1, 0, 0), 5): (997, 1012)
(8, 0, 1, (1, 0, 0), 6): (697, 701)
(8, 0, 1, (1, 0, 0), 7): (526, 527)
(8, 0, 1, (1, 0, 0), 8): (323, 324)
(8, 0, 1, (1, 0, 0), 9): (183, 184)
(8, 0, 1, (1, 0, 0), 10): (143, 143)
(8, 0, 1, (1, 0, 0), 11): (81, 81)
(8, 0, 1, (1, 0, 0), 12): (47, 47)
(8, 0, 1, (1, 0, 0), 13): (21, 21)
(8, 0, 1, (1, 0, 0), 14): (29, 29)
(8, 0, 1, (1, 0, 0), 15): (7, 7)
(8, 0, 1, (1, 0, 0), 16): (8, 8)
(8, 0, 1, (1, 0, 0), 17): (4, 4)
(8, 0, 1, (1, 0, 0), 18): (3, 3)
(8, 0, 1, (1, 0, 0), 20): (1, 1)
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(8, 0, 1, (1, 0, 1), -16): (0, 1)
(8, 0, 1, (1, 0, 1), -15): (0, 2)
(8, 0, 1, (1, 0, 1), -14): (0, 3)
(8, 0, 1, (1, 0, 1), -13): (0, 8)
(8, 0, 1, (1, 0, 1), -12): (0, 3)
(8, 0, 1, (1, 0, 1), -11): (0, 15)
(8, 0, 1, (1, 0, 1), -10): (1, 19)
(8, 0, 1, (1, 0, 1), -9): (0, 24)
(8, 0, 1, (1, 0, 1), -8): (0, 44)
(8, 0, 1, (1, 0, 1), -7): (1, 69)
(8, 0, 1, (1, 0, 1), -6): (0, 99)
(8, 0, 1, (1, 0, 1), -5): (3, 157)
(8, 0, 1, (1, 0, 1), -4): (5, 211)
(8, 0, 1, (1, 0, 1), -3): (34, 261)
(8, 0, 1, (1, 0, 1), -2): (63, 339)
(8, 0, 1, (1, 0, 1), -1): (198, 514)
(8, 0, 1, (1, 0, 1), 0): (373, 604)
(8, 0, 1, (1, 0, 1), 1): (486, 588)
(8, 0, 1, (1, 0, 1), 2): (478, 519)
(8, 0, 1, (1, 0, 1), 3): (376, 393)
(8, 0, 1, (1, 0, 1), 4): (268, 274)
(8, 0, 1, (1, 0, 1), 5): (186, 187)
(8, 0, 1, (1, 0, 1), 6): (146, 147)
(8, 0, 1, (1, 0, 1), 7): (77, 77)
(8, 0, 1, (1, 0, 1), 8): (66, 66)
(8, 0, 1, (1, 0, 1), 9): (32, 32)
(8, 0, 1, (1, 0, 1), 10): (30, 30)
(8, 0, 1, (1, 0, 1), 11): (14, 14)
(8, 0, 1, (1, 0, 1), 12): (15, 15)
(8, 0, 1, (1, 0, 1), 13): (4, 4)
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(8, 0, 1, (1, 1, 0), -16): (0, 2)
(8, 0, 1, (1, 1, 0), -15): (0, 2)
(8, 0, 1, (1, 1, 0), -14): (0, 4)
(8, 0, 1, (1, 1, 0), -13): (0, 14)
(8, 0, 1, (1, 1, 0), -12): (0, 13)
(8, 0, 1, (1, 1, 0), -11): (0, 40)
(8, 0, 1, (1, 1, 0), -10): (0, 44)
(8, 0, 1, (1, 1, 0), -9): (0, 75)
(8, 0, 1, (1, 1, 0), -8): (0, 130)
(8, 0, 1, (1, 1, 0), -7): (0, 200)
(8, 0, 1, (1, 1, 0), -6): (3, 300)
(8, 0, 1, (1, 1, 0), -5): (10, 407)
(8, 0, 1, (1, 1, 0), -4): (34, 599)
(8, 0, 1, (1, 1, 0), -3): (82, 814)
(8, 0, 1, (1, 1, 0), -2): (180, 973)
(8, 0, 1, (1, 1, 0), -1): (311, 1010)
(8, 0, 1, (1, 1, 0), 0): (730, 1272)
(8, 0, 1, (1, 1, 0), 1): (893, 1149)
(8, 0, 1, (1, 1, 0), 2): (948, 1063)
(8, 0, 1, (1, 1, 0), 3): (719, 767)
(8, 0, 1, (1, 1, 0), 4): (566, 582)
(8, 0, 1, (1, 1, 0), 5): (421, 423)
(8, 0, 1, (1, 1, 0), 6): (290, 290)
(8, 0, 1, (1, 1, 0), 7): (227, 228)
(8, 0, 1, (1, 1, 0), 8): (122, 123)
(8, 0, 1, (1, 1, 0), 9): (79, 79)
(8, 0, 1, (1, 1, 0), 10): (76, 76)
(8, 0, 1, (1, 1, 0), 11): (46, 46)
(8, 0, 1, (1, 1, 0), 12): (26, 26)
(8, 0, 1, (1, 1, 0), 13): (14, 14)
(8, 0, 1, (1, 1, 0), 14): (7, 7)
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(8, 0, 1, (1, 1, 0), 16): (2, 2)
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(8, 0, 1, (1, 1, 1), -16): (0, 1)
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(8, 0, 1, (1, 1, 1), -13): (0, 3)
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(8, 0, 1, (1, 1, 1), -11): (0, 10)
(8, 0, 1, (1, 1, 1), -10): (0, 14)
(8, 0, 1, (1, 1, 1), -9): (0, 19)
(8, 0, 1, (1, 1, 1), -8): (0, 36)
(8, 0, 1, (1, 1, 1), -7): (0, 50)
(8, 0, 1, (1, 1, 1), -6): (3, 84)
(8, 0, 1, (1, 1, 1), -5): (4, 104)
(8, 0, 1, (1, 1, 1), -4): (17, 145)
(8, 0, 1, (1, 1, 1), -3): (36, 207)
(8, 0, 1, (1, 1, 1), -2): (59, 218)
(8, 0, 1, (1, 1, 1), -1): (170, 388)
(8, 0, 1, (1, 1, 1), 0): (357, 498)
(8, 0, 1, (1, 1, 1), 1): (383, 457)
(8, 0, 1, (1, 1, 1), 2): (384, 415)
(8, 0, 1, (1, 1, 1), 3): (297, 311)
(8, 0, 1, (1, 1, 1), 4): (250, 259)
(8, 0, 1, (1, 1, 1), 5): (188, 190)
(8, 0, 1, (1, 1, 1), 6): (106, 106)
(8, 0, 1, (1, 1, 1), 7): (66, 67)
(8, 0, 1, (1, 1, 1), 8): (33, 33)
(8, 0, 1, (1, 1, 1), 9): (22, 22)
(8, 0, 1, (1, 1, 1), 10): (26, 26)
(8, 0, 1, (1, 1, 1), 11): (15, 15)
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(8, 0, 2, (0, 0, 0), -19): (0, 2)
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(8, 0, 2, (0, 0, 0), -17): (0, 4)
(8, 0, 2, (0, 0, 0), -16): (0, 11)
(8, 0, 2, (0, 0, 0), -15): (0, 16)
(8, 0, 2, (0, 0, 0), -14): (0, 28)
(8, 0, 2, (0, 0, 0), -13): (0, 56)
(8, 0, 2, (0, 0, 0), -12): (0, 106)
(8, 0, 2, (0, 0, 0), -11): (0, 149)
(8, 0, 2, (0, 0, 0), -10): (0, 282)
(8, 0, 2, (0, 0, 0), -9): (0, 447)
(8, 0, 2, (0, 0, 0), -8): (0, 683)
(8, 0, 2, (0, 0, 0), -7): (0, 996)
(8, 0, 2, (0, 0, 0), -6): (3, 1516)
(8, 0, 2, (0, 0, 0), -5): (10, 2159)
(8, 0, 2, (0, 0, 0), -4): (32, 3004)
(8, 0, 2, (0, 0, 0), -3): (85, 4007)
(8, 0, 2, (0, 0, 0), -2): (277, 4999)
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(8, 0, 2, (0, 0, 0), 13): (48, 48)
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(8, 0, 2, (0, 0, 1), -9): (0, 28)
(8, 0, 2, (0, 0, 1), -8): (0, 54)
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(8, 0, 2, (0, 0, 1), -4): (5, 246)
(8, 0, 2, (0, 0, 1), -3): (12, 284)
(8, 0, 2, (0, 0, 1), -2): (39, 406)
(8, 0, 2, (0, 0, 1), -1): (118, 590)
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(8, 0, 2, (0, 0, 1), 6): (196, 197)
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(8, 0, 2, (0, 0, 1), 8): (86, 86)
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(8, 0, 2, (0, 0, 1), 10): (30, 30)
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(8, 0, 2, (0, 1, 0), -12): (0, 19)
(8, 0, 2, (0, 1, 0), -11): (0, 39)
(8, 0, 2, (0, 1, 0), -10): (0, 55)
(8, 0, 2, (0, 1, 0), -9): (0, 83)
(8, 0, 2, (0, 1, 0), -8): (0, 126)
(8, 0, 2, (0, 1, 0), -7): (0, 226)
(8, 0, 2, (0, 1, 0), -6): (2, 318)
(8, 0, 2, (0, 1, 0), -5): (3, 439)
(8, 0, 2, (0, 1, 0), -4): (6, 612)
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(8, 0, 2, (0, 1, 0), -2): (86, 1057)
(8, 0, 2, (0, 1, 0), -1): (304, 1585)
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(8, 0, 2, (0, 1, 0), 5): (708, 717)
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(8, 0, 2, (0, 1, 0), 8): (186, 186)
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(8, 0, 2, (0, 1, 1), -8): (0, 30)
(8, 0, 2, (0, 1, 1), -7): (0, 63)
(8, 0, 2, (0, 1, 1), -6): (1, 91)
(8, 0, 2, (0, 1, 1), -5): (0, 124)
(8, 0, 2, (0, 1, 1), -4): (5, 147)
(8, 0, 2, (0, 1, 1), -3): (12, 197)
(8, 0, 2, (0, 1, 1), -2): (43, 307)
(8, 0, 2, (0, 1, 1), -1): (86, 336)
(8, 0, 2, (0, 1, 1), 0): (209, 387)
(8, 0, 2, (0, 1, 1), 1): (344, 452)
(8, 0, 2, (0, 1, 1), 2): (370, 417)
(8, 0, 2, (0, 1, 1), 3): (321, 337)
(8, 0, 2, (0, 1, 1), 4): (265, 272)
(8, 0, 2, (0, 1, 1), 5): (199, 200)
(8, 0, 2, (0, 1, 1), 6): (145, 145)
(8, 0, 2, (0, 1, 1), 7): (90, 91)
(8, 0, 2, (0, 1, 1), 8): (78, 78)
(8, 0, 2, (0, 1, 1), 9): (25, 25)
(8, 0, 2, (0, 1, 1), 10): (21, 21)
(8, 0, 2, (0, 1, 1), 11): (14, 14)
(8, 0, 2, (0, 1, 1), 12): (16, 16)
(8, 0, 2, (0, 1, 1), 13): (12, 12)
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(8, 0, 2, (1, 0, 0), -15): (0, 12)
(8, 0, 2, (1, 0, 0), -14): (0, 21)
(8, 0, 2, (1, 0, 0), -13): (0, 34)
(8, 0, 2, (1, 0, 0), -12): (0, 58)
(8, 0, 2, (1, 0, 0), -11): (0, 84)
(8, 0, 2, (1, 0, 0), -10): (0, 157)
(8, 0, 2, (1, 0, 0), -9): (0, 253)
(8, 0, 2, (1, 0, 0), -8): (1, 369)
(8, 0, 2, (1, 0, 0), -7): (0, 526)
(8, 0, 2, (1, 0, 0), -6): (2, 817)
(8, 0, 2, (1, 0, 0), -5): (6, 1175)
(8, 0, 2, (1, 0, 0), -4): (26, 1696)
(8, 0, 2, (1, 0, 0), -3): (68, 2182)
(8, 0, 2, (1, 0, 0), -2): (212, 2743)
(8, 0, 2, (1, 0, 0), -1): (563, 3261)
(8, 0, 2, (1, 0, 0), 0): (1348, 3271)
(8, 0, 2, (1, 0, 0), 1): (2173, 2949)
(8, 0, 2, (1, 0, 0), 2): (2116, 2493)
(8, 0, 2, (1, 0, 0), 3): (1817, 1960)
(8, 0, 2, (1, 0, 0), 4): (1486, 1548)
(8, 0, 2, (1, 0, 0), 5): (1082, 1102)
(8, 0, 2, (1, 0, 0), 6): (842, 847)
(8, 0, 2, (1, 0, 0), 7): (556, 557)
(8, 0, 2, (1, 0, 0), 8): (396, 396)
(8, 0, 2, (1, 0, 0), 9): (250, 251)
(8, 0, 2, (1, 0, 0), 10): (139, 139)
(8, 0, 2, (1, 0, 0), 11): (100, 100)
(8, 0, 2, (1, 0, 0), 12): (68, 68)
(8, 0, 2, (1, 0, 0), 13): (24, 24)
(8, 0, 2, (1, 0, 0), 14): (27, 27)
(8, 0, 2, (1, 0, 0), 15): (14, 14)
(8, 0, 2, (1, 0, 0), 16): (8, 8)
(8, 0, 2, (1, 0, 0), 17): (4, 4)
(8, 0, 2, (1, 0, 0), 18): (6, 6)
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(8, 0, 2, (1, 0, 1), -13): (0, 8)
(8, 0, 2, (1, 0, 1), -12): (0, 8)
(8, 0, 2, (1, 0, 1), -11): (0, 14)
(8, 0, 2, (1, 0, 1), -10): (0, 26)
(8, 0, 2, (1, 0, 1), -9): (0, 38)
(8, 0, 2, (1, 0, 1), -8): (0, 49)
(8, 0, 2, (1, 0, 1), -7): (0, 79)
(8, 0, 2, (1, 0, 1), -6): (0, 143)
(8, 0, 2, (1, 0, 1), -5): (1, 205)
(8, 0, 2, (1, 0, 1), -4): (7, 285)
(8, 0, 2, (1, 0, 1), -3): (21, 395)
(8, 0, 2, (1, 0, 1), -2): (55, 488)
(8, 0, 2, (1, 0, 1), -1): (154, 642)
(8, 0, 2, (1, 0, 1), 0): (410, 841)
(8, 0, 2, (1, 0, 1), 1): (568, 755)
(8, 0, 2, (1, 0, 1), 2): (612, 678)
(8, 0, 2, (1, 0, 1), 3): (508, 550)
(8, 0, 2, (1, 0, 1), 4): (391, 403)
(8, 0, 2, (1, 0, 1), 5): (291, 295)
(8, 0, 2, (1, 0, 1), 6): (227, 227)
(8, 0, 2, (1, 0, 1), 7): (155, 155)
(8, 0, 2, (1, 0, 1), 8): (109, 109)
(8, 0, 2, (1, 0, 1), 9): (63, 63)
(8, 0, 2, (1, 0, 1), 10): (45, 45)
(8, 0, 2, (1, 0, 1), 11): (19, 19)
(8, 0, 2, (1, 0, 1), 12): (21, 21)
(8, 0, 2, (1, 0, 1), 13): (11, 11)
(8, 0, 2, (1, 0, 1), 14): (6, 6)
(8, 0, 2, (1, 0, 1), 15): (1, 1)
(8, 0, 2, (1, 0, 1), 16): (3, 3)
(8, 0, 2, (1, 0, 1), 17): (3, 3)
(8, 0, 2, (1, 1, 0), -17): (0, 2)
(8, 0, 2, (1, 1, 0), -15): (0, 5)
(8, 0, 2, (1, 1, 0), -14): (0, 6)
(8, 0, 2, (1, 1, 0), -13): (0, 17)
(8, 0, 2, (1, 1, 0), -12): (0, 24)
(8, 0, 2, (1, 1, 0), -11): (0, 50)
(8, 0, 2, (1, 1, 0), -10): (0, 62)
(8, 0, 2, (1, 1, 0), -9): (0, 99)
(8, 0, 2, (1, 1, 0), -8): (0, 131)
(8, 0, 2, (1, 1, 0), -7): (0, 217)
(8, 0, 2, (1, 1, 0), -6): (1, 339)
(8, 0, 2, (1, 1, 0), -5): (5, 453)
(8, 0, 2, (1, 1, 0), -4): (14, 624)
(8, 0, 2, (1, 1, 0), -3): (42, 881)
(8, 0, 2, (1, 1, 0), -2): (124, 1132)
(8, 0, 2, (1, 1, 0), -1): (259, 1289)
(8, 0, 2, (1, 1, 0), 0): (777, 1692)
(8, 0, 2, (1, 1, 0), 1): (1168, 1561)
(8, 0, 2, (1, 1, 0), 2): (1260, 1450)
(8, 0, 2, (1, 1, 0), 3): (1035, 1109)
(8, 0, 2, (1, 1, 0), 4): (753, 785)
(8, 0, 2, (1, 1, 0), 5): (572, 580)
(8, 0, 2, (1, 1, 0), 6): (425, 427)
(8, 0, 2, (1, 1, 0), 7): (309, 309)
(8, 0, 2, (1, 1, 0), 8): (195, 196)
(8, 0, 2, (1, 1, 0), 9): (120, 120)
(8, 0, 2, (1, 1, 0), 10): (88, 88)
(8, 0, 2, (1, 1, 0), 11): (58, 58)
(8, 0, 2, (1, 1, 0), 12): (30, 30)
(8, 0, 2, (1, 1, 0), 13): (16, 16)
(8, 0, 2, (1, 1, 0), 14): (11, 11)
(8, 0, 2, (1, 1, 0), 15): (13, 13)
(8, 0, 2, (1, 1, 0), 16): (8, 8)
(8, 0, 2, (1, 1, 0), 17): (1, 1)
(8, 0, 2, (1, 1, 0), 20): (1, 1)
(8, 0, 2, (1, 1, 0), 21): (1, 1)
(8, 0, 2, (1, 1, 0), 22): (1, 1)
(8, 0, 2, (1, 1, 1), -17): (0, 1)
(8, 0, 2, (1, 1, 1), -13): (0, 3)
(8, 0, 2, (1, 1, 1), -12): (0, 2)
(8, 0, 2, (1, 1, 1), -11): (0, 9)
(8, 0, 2, (1, 1, 1), -10): (0, 14)
(8, 0, 2, (1, 1, 1), -9): (0, 28)
(8, 0, 2, (1, 1, 1), -8): (0, 33)
(8, 0, 2, (1, 1, 1), -7): (0, 59)
(8, 0, 2, (1, 1, 1), -6): (1, 78)
(8, 0, 2, (1, 1, 1), -5): (1, 106)
(8, 0, 2, (1, 1, 1), -4): (5, 163)
(8, 0, 2, (1, 1, 1), -3): (24, 227)
(8, 0, 2, (1, 1, 1), -2): (50, 290)
(8, 0, 2, (1, 1, 1), -1): (115, 456)
(8, 0, 2, (1, 1, 1), 0): (329, 593)
(8, 0, 2, (1, 1, 1), 1): (456, 570)
(8, 0, 2, (1, 1, 1), 2): (470, 514)
(8, 0, 2, (1, 1, 1), 3): (377, 398)
(8, 0, 2, (1, 1, 1), 4): (284, 297)
(8, 0, 2, (1, 1, 1), 5): (189, 194)
(8, 0, 2, (1, 1, 1), 6): (131, 131)
(8, 0, 2, (1, 1, 1), 7): (104, 104)
(8, 0, 2, (1, 1, 1), 8): (72, 72)
(8, 0, 2, (1, 1, 1), 9): (42, 42)
(8, 0, 2, (1, 1, 1), 10): (27, 27)
(8, 0, 2, (1, 1, 1), 11): (10, 10)
(8, 0, 2, (1, 1, 1), 12): (12, 12)
(8, 0, 2, (1, 1, 1), 13): (12, 12)
(8, 0, 2, (1, 1, 1), 14): (3, 3)
(8, 0, 2, (1, 1, 1), 15): (3, 3)
(8, 0, 2, (1, 1, 1), 16): (2, 2)
(8, 1, 0, (0, 0, 0), -22): (0, 3)
(8, 1, 0, (0, 0, 0), -21): (0, 1)
(8, 1, 0, (0, 0, 0), -20): (0, 1)
(8, 1, 0, (0, 0, 0), -19): (0, 3)
(8, 1, 0, (0, 0, 0), -18): (0, 5)
(8, 1, 0, (0, 0, 0), -17): (0, 12)
(8, 1, 0, (0, 0, 0), -16): (0, 21)
(8, 1, 0, (0, 0, 0), -15): (0, 34)
(8, 1, 0, (0, 0, 0), -14): (0, 73)
(8, 1, 0, (0, 0, 0), -13): (0, 113)
(8, 1, 0, (0, 0, 0), -12): (0, 190)
(8, 1, 0, (0, 0, 0), -11): (0, 348)
(8, 1, 0, (0, 0, 0), -10): (0, 487)
(8, 1, 0, (0, 0, 0), -9): (1, 739)
(8, 1, 0, (0, 0, 0), -8): (2, 1196)
(8, 1, 0, (0, 0, 0), -7): (8, 1847)
(8, 1, 0, (0, 0, 0), -6): (18, 2684)
(8, 1, 0, (0, 0, 0), -5): (64, 3870)
(8, 1, 0, (0, 0, 0), -4): (225, 5376)
(8, 1, 0, (0, 0, 0), -3): (510, 7178)
(8, 1, 0, (0, 0, 0), -2): (1348, 8946)
(8, 1, 0, (0, 0, 0), -1): (3071, 10361)
(8, 1, 0, (0, 0, 0), 0): (6842, 10890)
(8, 1, 0, (0, 0, 0), 1): (9098, 10217)
(8, 1, 0, (0, 0, 0), 2): (8192, 8579)
(8, 1, 0, (0, 0, 0), 3): (6587, 6692)
(8, 1, 0, (0, 0, 0), 4): (5126, 5169)
(8, 1, 0, (0, 0, 0), 5): (3743, 3753)
(8, 1, 0, (0, 0, 0), 6): (2584, 2588)
(8, 1, 0, (0, 0, 0), 7): (1676, 1676)
(8, 1, 0, (0, 0, 0), 8): (1128, 1129)
(8, 1, 0, (0, 0, 0), 9): (744, 744)
(8, 1, 0, (0, 0, 0), 10): (493, 493)
(8, 1, 0, (0, 0, 0), 11): (282, 282)
(8, 1, 0, (0, 0, 0), 12): (177, 177)
(8, 1, 0, (0, 0, 0), 13): (99, 99)
(8, 1, 0, (0, 0, 0), 14): (60, 60)
(8, 1, 0, (0, 0, 0), 15): (31, 31)
(8, 1, 0, (0, 0, 0), 16): (20, 20)
(8, 1, 0, (0, 0, 0), 17): (9, 9)
(8, 1, 0, (0, 0, 0), 18): (1, 1)
(8, 1, 0, (0, 0, 0), 19): (5, 5)
(8, 1, 0, (0, 0, 0), 20): (2, 2)
(8, 1, 0, (0, 0, 0), 21): (2, 2)
(8, 1, 0, (0, 0, 0), 22): (1, 1)
(8, 1, 0, (0, 0, 1), -14): (0, 1)
(8, 1, 0, (0, 0, 1), -12): (0, 2)
(8, 1, 0, (0, 0, 1), -11): (0, 5)
(8, 1, 0, (0, 0, 1), -10): (0, 7)
(8, 1, 0, (0, 0, 1), -9): (0, 12)
(8, 1, 0, (0, 0, 1), -8): (0, 16)
(8, 1, 0, (0, 0, 1), -7): (0, 19)
(8, 1, 0, (0, 0, 1), -6): (0, 31)
(8, 1, 0, (0, 0, 1), -5): (0, 34)
(8, 1, 0, (0, 0, 1), -4): (4, 47)
(8, 1, 0, (0, 0, 1), -3): (11, 73)
(8, 1, 0, (0, 0, 1), -2): (22, 97)
(8, 1, 0, (0, 0, 1), -1): (67, 119)
(8, 1, 0, (0, 0, 1), 0): (123, 151)
(8, 1, 0, (0, 0, 1), 1): (137, 145)
(8, 1, 0, (0, 0, 1), 2): (158, 162)
(8, 1, 0, (0, 0, 1), 3): (113, 114)
(8, 1, 0, (0, 0, 1), 4): (91, 92)
(8, 1, 0, (0, 0, 1), 5): (48, 48)
(8, 1, 0, (0, 0, 1), 6): (39, 39)
(8, 1, 0, (0, 0, 1), 7): (31, 31)
(8, 1, 0, (0, 0, 1), 8): (17, 17)
(8, 1, 0, (0, 0, 1), 9): (13, 13)
(8, 1, 0, (0, 0, 1), 10): (9, 9)
(8, 1, 0, (0, 0, 1), 11): (5, 5)
(8, 1, 0, (0, 0, 1), 12): (2, 2)
(8, 1, 0, (0, 0, 1), 13): (1, 1)
(8, 1, 0, (0, 0, 1), 14): (2, 2)
(8, 1, 0, (0, 1, 0), -16): (0, 2)
(8, 1, 0, (0, 1, 0), -15): (0, 5)
(8, 1, 0, (0, 1, 0), -14): (0, 3)
(8, 1, 0, (0, 1, 0), -13): (0, 10)
(8, 1, 0, (0, 1, 0), -12): (0, 12)
(8, 1, 0, (0, 1, 0), -11): (0, 21)
(8, 1, 0, (0, 1, 0), -10): (0, 23)
(8, 1, 0, (0, 1, 0), -9): (0, 37)
(8, 1, 0, (0, 1, 0), -8): (0, 73)
(8, 1, 0, (0, 1, 0), -7): (1, 129)
(8, 1, 0, (0, 1, 0), -6): (3, 159)
(8, 1, 0, (0, 1, 0), -5): (5, 236)
(8, 1, 0, (0, 1, 0), -4): (19, 318)
(8, 1, 0, (0, 1, 0), -3): (51, 426)
(8, 1, 0, (0, 1, 0), -2): (169, 545)
(8, 1, 0, (0, 1, 0), -1): (305, 639)
(8, 1, 0, (0, 1, 0), 0): (524, 705)
(8, 1, 0, (0, 1, 0), 1): (689, 766)
(8, 1, 0, (0, 1, 0), 2): (656, 680)
(8, 1, 0, (0, 1, 0), 3): (575, 578)
(8, 1, 0, (0, 1, 0), 4): (451, 455)
(8, 1, 0, (0, 1, 0), 5): (320, 320)
(8, 1, 0, (0, 1, 0), 6): (206, 206)
(8, 1, 0, (0, 1, 0), 7): (134, 134)
(8, 1, 0, (0, 1, 0), 8): (73, 73)
(8, 1, 0, (0, 1, 0), 9): (47, 47)
(8, 1, 0, (0, 1, 0), 10): (38, 38)
(8, 1, 0, (0, 1, 0), 11): (26, 26)
(8, 1, 0, (0, 1, 0), 12): (13, 13)
(8, 1, 0, (0, 1, 0), 13): (6, 6)
(8, 1, 0, (0, 1, 0), 14): (2, 2)
(8, 1, 0, (0, 1, 0), 15): (2, 2)
(8, 1, 0, (0, 1, 0), 16): (3, 3)
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(8, 1, 0, (0, 1, 1), -13): (0, 3)
(8, 1, 0, (0, 1, 1), -12): (0, 5)
(8, 1, 0, (0, 1, 1), -11): (0, 3)
(8, 1, 0, (0, 1, 1), -10): (0, 9)
(8, 1, 0, (0, 1, 1), -9): (0, 8)
(8, 1, 0, (0, 1, 1), -8): (0, 13)
(8, 1, 0, (0, 1, 1), -7): (0, 17)
(8, 1, 0, (0, 1, 1), -6): (3, 48)
(8, 1, 0, (0, 1, 1), -5): (3, 45)
(8, 1, 0, (0, 1, 1), -4): (9, 54)
(8, 1, 0, (0, 1, 1), -3): (25, 100)
(8, 1, 0, (0, 1, 1), -2): (56, 117)
(8, 1, 0, (0, 1, 1), -1): (80, 110)
(8, 1, 0, (0, 1, 1), 0): (109, 124)
(8, 1, 0, (0, 1, 1), 1): (130, 134)
(8, 1, 0, (0, 1, 1), 2): (119, 124)
(8, 1, 0, (0, 1, 1), 3): (114, 114)
(8, 1, 0, (0, 1, 1), 4): (81, 81)
(8, 1, 0, (0, 1, 1), 5): (65, 65)
(8, 1, 0, (0, 1, 1), 6): (33, 33)
(8, 1, 0, (0, 1, 1), 7): (37, 37)
(8, 1, 0, (0, 1, 1), 8): (24, 24)
(8, 1, 0, (0, 1, 1), 9): (17, 17)
(8, 1, 0, (0, 1, 1), 10): (11, 11)
(8, 1, 0, (0, 1, 1), 11): (7, 7)
(8, 1, 0, (0, 1, 1), 12): (5, 5)
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(8, 1, 0, (0, 1, 1), 14): (1, 1)
(8, 1, 0, (0, 1, 1), 15): (1, 1)
(8, 1, 0, (0, 1, 1), 17): (1, 1)
(8, 1, 0, (1, 0, 0), -22): (0, 1)
(8, 1, 0, (1, 0, 0), -18): (0, 2)
(8, 1, 0, (1, 0, 0), -17): (0, 4)
(8, 1, 0, (1, 0, 0), -16): (0, 8)
(8, 1, 0, (1, 0, 0), -15): (0, 7)
(8, 1, 0, (1, 0, 0), -14): (0, 17)
(8, 1, 0, (1, 0, 0), -13): (0, 41)
(8, 1, 0, (1, 0, 0), -12): (0, 54)
(8, 1, 0, (1, 0, 0), -11): (0, 77)
(8, 1, 0, (1, 0, 0), -10): (0, 137)
(8, 1, 0, (1, 0, 0), -9): (0, 205)
(8, 1, 0, (1, 0, 0), -8): (2, 316)
(8, 1, 0, (1, 0, 0), -7): (6, 452)
(8, 1, 0, (1, 0, 0), -6): (6, 711)
(8, 1, 0, (1, 0, 0), -5): (29, 994)
(8, 1, 0, (1, 0, 0), -4): (103, 1363)
(8, 1, 0, (1, 0, 0), -3): (235, 1894)
(8, 1, 0, (1, 0, 0), -2): (549, 2379)
(8, 1, 0, (1, 0, 0), -1): (1127, 2807)
(8, 1, 0, (1, 0, 0), 0): (2072, 2972)
(8, 1, 0, (1, 0, 0), 1): (2387, 2634)
(8, 1, 0, (1, 0, 0), 2): (2151, 2259)
(8, 1, 0, (1, 0, 0), 3): (1754, 1781)
(8, 1, 0, (1, 0, 0), 4): (1289, 1299)
(8, 1, 0, (1, 0, 0), 5): (981, 984)
(8, 1, 0, (1, 0, 0), 6): (643, 645)
(8, 1, 0, (1, 0, 0), 7): (463, 463)
(8, 1, 0, (1, 0, 0), 8): (308, 308)
(8, 1, 0, (1, 0, 0), 9): (180, 180)
(8, 1, 0, (1, 0, 0), 10): (115, 115)
(8, 1, 0, (1, 0, 0), 11): (78, 78)
(8, 1, 0, (1, 0, 0), 12): (55, 55)
(8, 1, 0, (1, 0, 0), 13): (32, 32)
(8, 1, 0, (1, 0, 0), 14): (17, 17)
(8, 1, 0, (1, 0, 0), 15): (10, 10)
(8, 1, 0, (1, 0, 0), 16): (4, 4)
(8, 1, 0, (1, 0, 0), 17): (4, 4)
(8, 1, 0, (1, 0, 0), 19): (1, 1)
(8, 1, 0, (1, 0, 0), 20): (2, 2)
(8, 1, 0, (1, 0, 0), 21): (1, 1)
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(8, 1, 0, (1, 0, 1), -16): (0, 1)
(8, 1, 0, (1, 0, 1), -15): (0, 1)
(8, 1, 0, (1, 0, 1), -14): (0, 1)
(8, 1, 0, (1, 0, 1), -13): (0, 5)
(8, 1, 0, (1, 0, 1), -12): (0, 4)
(8, 1, 0, (1, 0, 1), -11): (0, 7)
(8, 1, 0, (1, 0, 1), -10): (0, 9)
(8, 1, 0, (1, 0, 1), -9): (0, 15)
(8, 1, 0, (1, 0, 1), -8): (0, 18)
(8, 1, 0, (1, 0, 1), -7): (1, 44)
(8, 1, 0, (1, 0, 1), -6): (1, 46)
(8, 1, 0, (1, 0, 1), -5): (2, 74)
(8, 1, 0, (1, 0, 1), -4): (15, 105)
(8, 1, 0, (1, 0, 1), -3): (35, 154)
(8, 1, 0, (1, 0, 1), -2): (84, 207)
(8, 1, 0, (1, 0, 1), -1): (150, 221)
(8, 1, 0, (1, 0, 1), 0): (204, 249)
(8, 1, 0, (1, 0, 1), 1): (229, 248)
(8, 1, 0, (1, 0, 1), 2): (210, 217)
(8, 1, 0, (1, 0, 1), 3): (165, 167)
(8, 1, 0, (1, 0, 1), 4): (133, 133)
(8, 1, 0, (1, 0, 1), 5): (100, 100)
(8, 1, 0, (1, 0, 1), 6): (66, 66)
(8, 1, 0, (1, 0, 1), 7): (47, 47)
(8, 1, 0, (1, 0, 1), 8): (33, 33)
(8, 1, 0, (1, 0, 1), 9): (12, 12)
(8, 1, 0, (1, 0, 1), 10): (13, 13)
(8, 1, 0, (1, 0, 1), 11): (9, 9)
(8, 1, 0, (1, 0, 1), 12): (2, 2)
(8, 1, 0, (1, 0, 1), 15): (1, 1)
(8, 1, 0, (1, 1, 0), -18): (0, 1)
(8, 1, 0, (1, 1, 0), -16): (0, 3)
(8, 1, 0, (1, 1, 0), -15): (0, 2)
(8, 1, 0, (1, 1, 0), -14): (0, 5)
(8, 1, 0, (1, 1, 0), -13): (0, 11)
(8, 1, 0, (1, 1, 0), -12): (0, 11)
(8, 1, 0, (1, 1, 0), -11): (0, 21)
(8, 1, 0, (1, 1, 0), -10): (0, 30)
(8, 1, 0, (1, 1, 0), -9): (0, 52)
(8, 1, 0, (1, 1, 0), -8): (0, 87)
(8, 1, 0, (1, 1, 0), -7): (2, 123)
(8, 1, 0, (1, 1, 0), -6): (4, 192)
(8, 1, 0, (1, 1, 0), -5): (23, 250)
(8, 1, 0, (1, 1, 0), -4): (49, 347)
(8, 1, 0, (1, 1, 0), -3): (91, 488)
(8, 1, 0, (1, 1, 0), -2): (227, 614)
(8, 1, 0, (1, 1, 0), -1): (324, 537)
(8, 1, 0, (1, 1, 0), 0): (443, 554)
(8, 1, 0, (1, 1, 0), 1): (456, 504)
(8, 1, 0, (1, 1, 0), 2): (433, 452)
(8, 1, 0, (1, 1, 0), 3): (391, 396)
(8, 1, 0, (1, 1, 0), 4): (316, 318)
(8, 1, 0, (1, 1, 0), 5): (257, 257)
(8, 1, 0, (1, 1, 0), 6): (186, 186)
(8, 1, 0, (1, 1, 0), 7): (125, 125)
(8, 1, 0, (1, 1, 0), 8): (107, 107)
(8, 1, 0, (1, 1, 0), 9): (63, 63)
(8, 1, 0, (1, 1, 0), 10): (31, 31)
(8, 1, 0, (1, 1, 0), 11): (22, 22)
(8, 1, 0, (1, 1, 0), 12): (15, 15)
(8, 1, 0, (1, 1, 0), 13): (17, 17)
(8, 1, 0, (1, 1, 0), 14): (8, 8)
(8, 1, 0, (1, 1, 0), 15): (3, 3)
(8, 1, 0, (1, 1, 0), 16): (3, 3)
(8, 1, 0, (1, 1, 0), 19): (1, 1)
(8, 1, 0, (1, 1, 0), 21): (1, 1)
(8, 1, 0, (1, 1, 1), -14): (0, 1)
(8, 1, 0, (1, 1, 1), -13): (0, 5)
(8, 1, 0, (1, 1, 1), -12): (0, 1)
(8, 1, 0, (1, 1, 1), -11): (0, 6)
(8, 1, 0, (1, 1, 1), -10): (0, 6)
(8, 1, 0, (1, 1, 1), -9): (0, 13)
(8, 1, 0, (1, 1, 1), -8): (0, 17)
(8, 1, 0, (1, 1, 1), -7): (0, 23)
(8, 1, 0, (1, 1, 1), -6): (0, 35)
(8, 1, 0, (1, 1, 1), -5): (8, 56)
(8, 1, 0, (1, 1, 1), -4): (23, 75)
(8, 1, 0, (1, 1, 1), -3): (32, 95)
(8, 1, 0, (1, 1, 1), -2): (66, 134)
(8, 1, 0, (1, 1, 1), -1): (99, 144)
(8, 1, 0, (1, 1, 1), 0): (152, 177)
(8, 1, 0, (1, 1, 1), 1): (174, 181)
(8, 1, 0, (1, 1, 1), 2): (153, 157)
(8, 1, 0, (1, 1, 1), 3): (111, 114)
(8, 1, 0, (1, 1, 1), 4): (85, 86)
(8, 1, 0, (1, 1, 1), 5): (60, 60)
(8, 1, 0, (1, 1, 1), 6): (41, 41)
(8, 1, 0, (1, 1, 1), 7): (38, 38)
(8, 1, 0, (1, 1, 1), 8): (29, 29)
(8, 1, 0, (1, 1, 1), 9): (19, 19)
(8, 1, 0, (1, 1, 1), 10): (7, 7)
(8, 1, 0, (1, 1, 1), 11): (7, 7)
(8, 1, 0, (1, 1, 1), 12): (3, 3)
(8, 1, 0, (1, 1, 1), 13): (4, 4)
(8, 1, 0, (1, 1, 1), 14): (3, 3)
(8, 1, 0, (1, 1, 1), 15): (3, 3)
(8, 1, 1, (0, 0, 0), -22): (0, 2)
(8, 1, 1, (0, 0, 0), -21): (0, 1)
(8, 1, 1, (0, 0, 0), -20): (0, 1)
(8, 1, 1, (0, 0, 0), -19): (0, 3)
(8, 1, 1, (0, 0, 0), -18): (0, 3)
(8, 1, 1, (0, 0, 0), -17): (0, 7)
(8, 1, 1, (0, 0, 0), -16): (0, 10)
(8, 1, 1, (0, 0, 0), -15): (0, 23)
(8, 1, 1, (0, 0, 0), -14): (0, 51)
(8, 1, 1, (0, 0, 0), -13): (0, 66)
(8, 1, 1, (0, 0, 0), -12): (0, 123)
(8, 1, 1, (0, 0, 0), -11): (0, 242)
(8, 1, 1, (0, 0, 0), -10): (0, 330)
(8, 1, 1, (0, 0, 0), -9): (0, 498)
(8, 1, 1, (0, 0, 0), -8): (0, 802)
(8, 1, 1, (0, 0, 0), -7): (2, 1275)
(8, 1, 1, (0, 0, 0), -6): (10, 1836)
(8, 1, 1, (0, 0, 0), -5): (30, 2686)
(8, 1, 1, (0, 0, 0), -4): (99, 3729)
(8, 1, 1, (0, 0, 0), -3): (216, 4946)
(8, 1, 1, (0, 0, 0), -2): (655, 6214)
(8, 1, 1, (0, 0, 0), -1): (1665, 7208)
(8, 1, 1, (0, 0, 0), 0): (4353, 7521)
(8, 1, 1, (0, 0, 0), 1): (6411, 7269)
(8, 1, 1, (0, 0, 0), 2): (5891, 6179)
(8, 1, 1, (0, 0, 0), 3): (4774, 4853)
(8, 1, 1, (0, 0, 0), 4): (3751, 3782)
(8, 1, 1, (0, 0, 0), 5): (2745, 2752)
(8, 1, 1, (0, 0, 0), 6): (1925, 1927)
(8, 1, 1, (0, 0, 0), 7): (1210, 1210)
(8, 1, 1, (0, 0, 0), 8): (858, 859)
(8, 1, 1, (0, 0, 0), 9): (577, 577)
(8, 1, 1, (0, 0, 0), 10): (395, 395)
(8, 1, 1, (0, 0, 0), 11): (215, 215)
(8, 1, 1, (0, 0, 0), 12): (128, 128)
(8, 1, 1, (0, 0, 0), 13): (67, 67)
(8, 1, 1, (0, 0, 0), 14): (49, 49)
(8, 1, 1, (0, 0, 0), 15): (20, 20)
(8, 1, 1, (0, 0, 0), 16): (16, 16)
(8, 1, 1, (0, 0, 0), 17): (7, 7)
(8, 1, 1, (0, 0, 0), 18): (3, 3)
(8, 1, 1, (0, 0, 0), 19): (4, 4)
(8, 1, 1, (0, 0, 0), 21): (1, 1)
(8, 1, 1, (0, 0, 0), 22): (1, 1)
(8, 1, 1, (0, 0, 1), -14): (0, 4)
(8, 1, 1, (0, 0, 1), -12): (0, 4)
(8, 1, 1, (0, 0, 1), -11): (0, 7)
(8, 1, 1, (0, 0, 1), -10): (0, 11)
(8, 1, 1, (0, 0, 1), -9): (0, 19)
(8, 1, 1, (0, 0, 1), -8): (0, 37)
(8, 1, 1, (0, 0, 1), -7): (0, 37)
(8, 1, 1, (0, 0, 1), -6): (0, 74)
(8, 1, 1, (0, 0, 1), -5): (0, 108)
(8, 1, 1, (0, 0, 1), -4): (10, 153)
(8, 1, 1, (0, 0, 1), -3): (11, 176)
(8, 1, 1, (0, 0, 1), -2): (67, 290)
(8, 1, 1, (0, 0, 1), -1): (198, 448)
(8, 1, 1, (0, 0, 1), 0): (387, 520)
(8, 1, 1, (0, 0, 1), 1): (506, 547)
(8, 1, 1, (0, 0, 1), 2): (492, 508)
(8, 1, 1, (0, 0, 1), 3): (420, 426)
(8, 1, 1, (0, 0, 1), 4): (316, 318)
(8, 1, 1, (0, 0, 1), 5): (196, 196)
(8, 1, 1, (0, 0, 1), 6): (123, 123)
(8, 1, 1, (0, 0, 1), 7): (89, 89)
(8, 1, 1, (0, 0, 1), 8): (57, 57)
(8, 1, 1, (0, 0, 1), 9): (35, 35)
(8, 1, 1, (0, 0, 1), 10): (12, 12)
(8, 1, 1, (0, 0, 1), 11): (17, 17)
(8, 1, 1, (0, 0, 1), 12): (10, 10)
(8, 1, 1, (0, 0, 1), 13): (4, 4)
(8, 1, 1, (0, 0, 1), 14): (3, 3)
(8, 1, 1, (0, 0, 1), 15): (2, 2)
(8, 1, 1, (0, 0, 1), 16): (1, 1)
(8, 1, 1, (0, 0, 1), 18): (1, 1)
(8, 1, 1, (0, 1, 0), -18): (0, 1)
(8, 1, 1, (0, 1, 0), -17): (0, 1)
(8, 1, 1, (0, 1, 0), -16): (0, 2)
(8, 1, 1, (0, 1, 0), -15): (0, 5)
(8, 1, 1, (0, 1, 0), -14): (0, 7)
(8, 1, 1, (0, 1, 0), -13): (0, 11)
(8, 1, 1, (0, 1, 0), -12): (0, 16)
(8, 1, 1, (0, 1, 0), -11): (0, 43)
(8, 1, 1, (0, 1, 0), -10): (0, 52)
(8, 1, 1, (0, 1, 0), -9): (0, 73)
(8, 1, 1, (0, 1, 0), -8): (0, 134)
(8, 1, 1, (0, 1, 0), -7): (0, 192)
(8, 1, 1, (0, 1, 0), -6): (1, 237)
(8, 1, 1, (0, 1, 0), -5): (12, 377)
(8, 1, 1, (0, 1, 0), -4): (18, 545)
(8, 1, 1, (0, 1, 0), -3): (53, 689)
(8, 1, 1, (0, 1, 0), -2): (135, 807)
(8, 1, 1, (0, 1, 0), -1): (607, 1697)
(8, 1, 1, (0, 1, 0), 0): (1457, 2111)
(8, 1, 1, (0, 1, 0), 1): (1649, 1825)
(8, 1, 1, (0, 1, 0), 2): (1473, 1542)
(8, 1, 1, (0, 1, 0), 3): (1130, 1146)
(8, 1, 1, (0, 1, 0), 4): (877, 883)
(8, 1, 1, (0, 1, 0), 5): (563, 565)
(8, 1, 1, (0, 1, 0), 6): (373, 373)
(8, 1, 1, (0, 1, 0), 7): (227, 227)
(8, 1, 1, (0, 1, 0), 8): (146, 146)
(8, 1, 1, (0, 1, 0), 9): (101, 101)
(8, 1, 1, (0, 1, 0), 10): (64, 64)
(8, 1, 1, (0, 1, 0), 11): (51, 51)
(8, 1, 1, (0, 1, 0), 12): (25, 25)
(8, 1, 1, (0, 1, 0), 13): (12, 12)
(8, 1, 1, (0, 1, 0), 14): (8, 8)
(8, 1, 1, (0, 1, 0), 15): (3, 3)
(8, 1, 1, (0, 1, 0), 16): (4, 4)
(8, 1, 1, (0, 1, 0), 17): (2, 2)
(8, 1, 1, (0, 1, 1), -14): (0, 3)
(8, 1, 1, (0, 1, 1), -12): (0, 7)
(8, 1, 1, (0, 1, 1), -11): (0, 9)
(8, 1, 1, (0, 1, 1), -10): (0, 20)
(8, 1, 1, (0, 1, 1), -9): (0, 16)
(8, 1, 1, (0, 1, 1), -8): (0, 34)
(8, 1, 1, (0, 1, 1), -7): (1, 55)
(8, 1, 1, (0, 1, 1), -6): (0, 66)
(8, 1, 1, (0, 1, 1), -5): (4, 98)
(8, 1, 1, (0, 1, 1), -4): (10, 121)
(8, 1, 1, (0, 1, 1), -3): (28, 201)
(8, 1, 1, (0, 1, 1), -2): (126, 379)
(8, 1, 1, (0, 1, 1), -1): (208, 358)
(8, 1, 1, (0, 1, 1), 0): (347, 440)
(8, 1, 1, (0, 1, 1), 1): (381, 405)
(8, 1, 1, (0, 1, 1), 2): (399, 418)
(8, 1, 1, (0, 1, 1), 3): (346, 350)
(8, 1, 1, (0, 1, 1), 4): (268, 270)
(8, 1, 1, (0, 1, 1), 5): (189, 189)
(8, 1, 1, (0, 1, 1), 6): (122, 122)
(8, 1, 1, (0, 1, 1), 7): (96, 96)
(8, 1, 1, (0, 1, 1), 8): (69, 69)
(8, 1, 1, (0, 1, 1), 9): (51, 51)
(8, 1, 1, (0, 1, 1), 10): (12, 12)
(8, 1, 1, (0, 1, 1), 11): (15, 15)
(8, 1, 1, (0, 1, 1), 12): (11, 11)
(8, 1, 1, (0, 1, 1), 13): (6, 6)
(8, 1, 1, (0, 1, 1), 14): (4, 4)
(8, 1, 1, (0, 1, 1), 15): (2, 2)
(8, 1, 1, (0, 1, 1), 21): (1, 1)
(8, 1, 1, (1, 0, 0), -22): (0, 1)
(8, 1, 1, (1, 0, 0), -19): (0, 1)
(8, 1, 1, (1, 0, 0), -18): (0, 1)
(8, 1, 1, (1, 0, 0), -17): (0, 4)
(8, 1, 1, (1, 0, 0), -16): (0, 3)
(8, 1, 1, (1, 0, 0), -15): (0, 12)
(8, 1, 1, (1, 0, 0), -14): (0, 19)
(8, 1, 1, (1, 0, 0), -13): (0, 28)
(8, 1, 1, (1, 0, 0), -12): (0, 56)
(8, 1, 1, (1, 0, 0), -11): (0, 104)
(8, 1, 1, (1, 0, 0), -10): (0, 150)
(8, 1, 1, (1, 0, 0), -9): (0, 225)
(8, 1, 1, (1, 0, 0), -8): (0, 347)
(8, 1, 1, (1, 0, 0), -7): (3, 562)
(8, 1, 1, (1, 0, 0), -6): (3, 796)
(8, 1, 1, (1, 0, 0), -5): (18, 1198)
(8, 1, 1, (1, 0, 0), -4): (63, 1636)
(8, 1, 1, (1, 0, 0), -3): (174, 2168)
(8, 1, 1, (1, 0, 0), -2): (402, 2733)
(8, 1, 1, (1, 0, 0), -1): (920, 3007)
(8, 1, 1, (1, 0, 0), 0): (1964, 3143)
(8, 1, 1, (1, 0, 0), 1): (2522, 2796)
(8, 1, 1, (1, 0, 0), 2): (2420, 2537)
(8, 1, 1, (1, 0, 0), 3): (2009, 2038)
(8, 1, 1, (1, 0, 0), 4): (1596, 1602)
(8, 1, 1, (1, 0, 0), 5): (1259, 1261)
(8, 1, 1, (1, 0, 0), 6): (872, 873)
(8, 1, 1, (1, 0, 0), 7): (643, 643)
(8, 1, 1, (1, 0, 0), 8): (439, 440)
(8, 1, 1, (1, 0, 0), 9): (251, 251)
(8, 1, 1, (1, 0, 0), 10): (182, 182)
(8, 1, 1, (1, 0, 0), 11): (112, 112)
(8, 1, 1, (1, 0, 0), 12): (73, 73)
(8, 1, 1, (1, 0, 0), 13): (35, 35)
(8, 1, 1, (1, 0, 0), 14): (23, 23)
(8, 1, 1, (1, 0, 0), 15): (9, 9)
(8, 1, 1, (1, 0, 0), 16): (4, 4)
(8, 1, 1, (1, 0, 0), 17): (5, 5)
(8, 1, 1, (1, 0, 0), 18): (2, 2)
(8, 1, 1, (1, 0, 0), 19): (2, 2)
(8, 1, 1, (1, 0, 0), 20): (2, 2)
(8, 1, 1, (1, 0, 0), 21): (1, 1)
(8, 1, 1, (1, 0, 1), -15): (0, 3)
(8, 1, 1, (1, 0, 1), -14): (0, 2)
(8, 1, 1, (1, 0, 1), -13): (0, 4)
(8, 1, 1, (1, 0, 1), -12): (0, 6)
(8, 1, 1, (1, 0, 1), -11): (0, 15)
(8, 1, 1, (1, 0, 1), -10): (0, 9)
(8, 1, 1, (1, 0, 1), -9): (0, 24)
(8, 1, 1, (1, 0, 1), -8): (0, 51)
(8, 1, 1, (1, 0, 1), -7): (0, 86)
(8, 1, 1, (1, 0, 1), -6): (1, 106)
(8, 1, 1, (1, 0, 1), -5): (2, 170)
(8, 1, 1, (1, 0, 1), -4): (20, 234)
(8, 1, 1, (1, 0, 1), -3): (33, 281)
(8, 1, 1, (1, 0, 1), -2): (109, 376)
(8, 1, 1, (1, 0, 1), -1): (243, 513)
(8, 1, 1, (1, 0, 1), 0): (509, 655)
(8, 1, 1, (1, 0, 1), 1): (558, 594)
(8, 1, 1, (1, 0, 1), 2): (501, 515)
(8, 1, 1, (1, 0, 1), 3): (397, 402)
(8, 1, 1, (1, 0, 1), 4): (330, 335)
(8, 1, 1, (1, 0, 1), 5): (235, 235)
(8, 1, 1, (1, 0, 1), 6): (144, 145)
(8, 1, 1, (1, 0, 1), 7): (84, 84)
(8, 1, 1, (1, 0, 1), 8): (76, 76)
(8, 1, 1, (1, 0, 1), 9): (56, 56)
(8, 1, 1, (1, 0, 1), 10): (43, 43)
(8, 1, 1, (1, 0, 1), 11): (21, 21)
(8, 1, 1, (1, 0, 1), 12): (7, 7)
(8, 1, 1, (1, 0, 1), 13): (7, 7)
(8, 1, 1, (1, 0, 1), 14): (4, 4)
(8, 1, 1, (1, 0, 1), 15): (2, 2)
(8, 1, 1, (1, 0, 1), 16): (2, 2)
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(8, 1, 1, (1, 0, 1), 18): (1, 1)
(8, 1, 1, (1, 1, 0), -17): (0, 1)
(8, 1, 1, (1, 1, 0), -16): (0, 2)
(8, 1, 1, (1, 1, 0), -15): (0, 5)
(8, 1, 1, (1, 1, 0), -14): (0, 4)
(8, 1, 1, (1, 1, 0), -13): (0, 11)
(8, 1, 1, (1, 1, 0), -12): (0, 16)
(8, 1, 1, (1, 1, 0), -11): (0, 34)
(8, 1, 1, (1, 1, 0), -10): (0, 56)
(8, 1, 1, (1, 1, 0), -9): (0, 85)
(8, 1, 1, (1, 1, 0), -8): (0, 129)
(8, 1, 1, (1, 1, 0), -7): (1, 210)
(8, 1, 1, (1, 1, 0), -6): (3, 282)
(8, 1, 1, (1, 1, 0), -5): (14, 412)
(8, 1, 1, (1, 1, 0), -4): (35, 580)
(8, 1, 1, (1, 1, 0), -3): (104, 775)
(8, 1, 1, (1, 1, 0), -2): (199, 928)
(8, 1, 1, (1, 1, 0), -1): (410, 1035)
(8, 1, 1, (1, 1, 0), 0): (1061, 1488)
(8, 1, 1, (1, 1, 0), 1): (1111, 1241)
(8, 1, 1, (1, 1, 0), 2): (993, 1044)
(8, 1, 1, (1, 1, 0), 3): (806, 816)
(8, 1, 1, (1, 1, 0), 4): (598, 600)
(8, 1, 1, (1, 1, 0), 5): (476, 478)
(8, 1, 1, (1, 1, 0), 6): (379, 379)
(8, 1, 1, (1, 1, 0), 7): (276, 276)
(8, 1, 1, (1, 1, 0), 8): (185, 185)
(8, 1, 1, (1, 1, 0), 9): (113, 113)
(8, 1, 1, (1, 1, 0), 10): (85, 85)
(8, 1, 1, (1, 1, 0), 11): (60, 60)
(8, 1, 1, (1, 1, 0), 12): (28, 28)
(8, 1, 1, (1, 1, 0), 13): (12, 12)
(8, 1, 1, (1, 1, 0), 14): (8, 8)
(8, 1, 1, (1, 1, 0), 15): (5, 5)
(8, 1, 1, (1, 1, 0), 16): (4, 4)
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(8, 1, 1, (1, 1, 0), 19): (1, 1)
(8, 1, 1, (1, 1, 0), 21): (1, 1)
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(8, 1, 1, (1, 1, 1), -13): (0, 4)
(8, 1, 1, (1, 1, 1), -12): (0, 2)
(8, 1, 1, (1, 1, 1), -11): (0, 14)
(8, 1, 1, (1, 1, 1), -10): (0, 13)
(8, 1, 1, (1, 1, 1), -9): (0, 20)
(8, 1, 1, (1, 1, 1), -8): (0, 35)
(8, 1, 1, (1, 1, 1), -7): (1, 61)
(8, 1, 1, (1, 1, 1), -6): (1, 88)
(8, 1, 1, (1, 1, 1), -5): (8, 124)
(8, 1, 1, (1, 1, 1), -4): (12, 129)
(8, 1, 1, (1, 1, 1), -3): (34, 175)
(8, 1, 1, (1, 1, 1), -2): (94, 276)
(8, 1, 1, (1, 1, 1), -1): (246, 433)
(8, 1, 1, (1, 1, 1), 0): (495, 630)
(8, 1, 1, (1, 1, 1), 1): (543, 580)
(8, 1, 1, (1, 1, 1), 2): (484, 503)
(8, 1, 1, (1, 1, 1), 3): (349, 352)
(8, 1, 1, (1, 1, 1), 4): (292, 294)
(8, 1, 1, (1, 1, 1), 5): (216, 216)
(8, 1, 1, (1, 1, 1), 6): (130, 130)
(8, 1, 1, (1, 1, 1), 7): (66, 66)
(8, 1, 1, (1, 1, 1), 8): (61, 61)
(8, 1, 1, (1, 1, 1), 9): (31, 31)
(8, 1, 1, (1, 1, 1), 10): (29, 29)
(8, 1, 1, (1, 1, 1), 11): (15, 15)
(8, 1, 1, (1, 1, 1), 12): (13, 13)
(8, 1, 1, (1, 1, 1), 13): (6, 6)
(8, 1, 1, (1, 1, 1), 14): (2, 2)
(8, 1, 1, (1, 1, 1), 15): (2, 2)
(8, 1, 1, (1, 1, 1), 16): (1, 1)
(8, 1, 2, (0, 0, 0), -22): (0, 2)
(8, 1, 2, (0, 0, 0), -21): (0, 1)
(8, 1, 2, (0, 0, 0), -20): (0, 1)
(8, 1, 2, (0, 0, 0), -19): (0, 2)
(8, 1, 2, (0, 0, 0), -18): (0, 2)
(8, 1, 2, (0, 0, 0), -17): (0, 5)
(8, 1, 2, (0, 0, 0), -16): (0, 12)
(8, 1, 2, (0, 0, 0), -15): (0, 14)
(8, 1, 2, (0, 0, 0), -14): (0, 36)
(8, 1, 2, (0, 0, 0), -13): (0, 61)
(8, 1, 2, (0, 0, 0), -12): (0, 96)
(8, 1, 2, (0, 0, 0), -11): (0, 159)
(8, 1, 2, (0, 0, 0), -10): (0, 243)
(8, 1, 2, (0, 0, 0), -9): (0, 380)
(8, 1, 2, (0, 0, 0), -8): (0, 598)
(8, 1, 2, (0, 0, 0), -7): (2, 927)
(8, 1, 2, (0, 0, 0), -6): (3, 1393)
(8, 1, 2, (0, 0, 0), -5): (8, 2030)
(8, 1, 2, (0, 0, 0), -4): (51, 2802)
(8, 1, 2, (0, 0, 0), -3): (111, 3799)
(8, 1, 2, (0, 0, 0), -2): (387, 4795)
(8, 1, 2, (0, 0, 0), -1): (984, 5429)
(8, 1, 2, (0, 0, 0), 0): (3055, 5595)
(8, 1, 2, (0, 0, 0), 1): (4918, 5674)
(8, 1, 2, (0, 0, 0), 2): (4599, 4829)
(8, 1, 2, (0, 0, 0), 3): (3876, 3954)
(8, 1, 2, (0, 0, 0), 4): (3051, 3083)
(8, 1, 2, (0, 0, 0), 5): (2212, 2218)
(8, 1, 2, (0, 0, 0), 6): (1545, 1548)
(8, 1, 2, (0, 0, 0), 7): (956, 956)
(8, 1, 2, (0, 0, 0), 8): (736, 736)
(8, 1, 2, (0, 0, 0), 9): (525, 525)
(8, 1, 2, (0, 0, 0), 10): (346, 346)
(8, 1, 2, (0, 0, 0), 11): (187, 187)
(8, 1, 2, (0, 0, 0), 12): (107, 107)
(8, 1, 2, (0, 0, 0), 13): (64, 64)
(8, 1, 2, (0, 0, 0), 14): (46, 46)
(8, 1, 2, (0, 0, 0), 15): (22, 22)
(8, 1, 2, (0, 0, 0), 16): (15, 15)
(8, 1, 2, (0, 0, 0), 17): (8, 8)
(8, 1, 2, (0, 0, 0), 18): (2, 2)
(8, 1, 2, (0, 0, 0), 19): (4, 4)
(8, 1, 2, (0, 0, 0), 22): (1, 1)
(8, 1, 2, (0, 0, 1), -16): (0, 2)
(8, 1, 2, (0, 0, 1), -15): (0, 2)
(8, 1, 2, (0, 0, 1), -14): (0, 6)
(8, 1, 2, (0, 0, 1), -13): (0, 3)
(8, 1, 2, (0, 0, 1), -12): (0, 5)
(8, 1, 2, (0, 0, 1), -11): (0, 7)
(8, 1, 2, (0, 0, 1), -10): (0, 27)
(8, 1, 2, (0, 0, 1), -9): (0, 31)
(8, 1, 2, (0, 0, 1), -8): (0, 59)
(8, 1, 2, (0, 0, 1), -7): (0, 59)
(8, 1, 2, (0, 0, 1), -6): (1, 106)
(8, 1, 2, (0, 0, 1), -5): (2, 169)
(8, 1, 2, (0, 0, 1), -4): (4, 245)
(8, 1, 2, (0, 0, 1), -3): (13, 322)
(8, 1, 2, (0, 0, 1), -2): (37, 378)
(8, 1, 2, (0, 0, 1), -1): (191, 713)
(8, 1, 2, (0, 0, 1), 0): (424, 686)
(8, 1, 2, (0, 0, 1), 1): (598, 671)
(8, 1, 2, (0, 0, 1), 2): (622, 660)
(8, 1, 2, (0, 0, 1), 3): (589, 596)
(8, 1, 2, (0, 0, 1), 4): (416, 418)
(8, 1, 2, (0, 0, 1), 5): (317, 317)
(8, 1, 2, (0, 0, 1), 6): (204, 204)
(8, 1, 2, (0, 0, 1), 7): (153, 153)
(8, 1, 2, (0, 0, 1), 8): (99, 99)
(8, 1, 2, (0, 0, 1), 9): (75, 75)
(8, 1, 2, (0, 0, 1), 10): (27, 27)
(8, 1, 2, (0, 0, 1), 11): (26, 26)
(8, 1, 2, (0, 0, 1), 12): (22, 22)
(8, 1, 2, (0, 0, 1), 13): (8, 8)
(8, 1, 2, (0, 0, 1), 14): (3, 3)
(8, 1, 2, (0, 0, 1), 15): (7, 7)
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(8, 1, 2, (0, 0, 1), 17): (2, 2)
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(8, 1, 2, (0, 1, 0), -16): (0, 2)
(8, 1, 2, (0, 1, 0), -15): (0, 3)
(8, 1, 2, (0, 1, 0), -14): (0, 11)
(8, 1, 2, (0, 1, 0), -13): (0, 12)
(8, 1, 2, (0, 1, 0), -12): (0, 21)
(8, 1, 2, (0, 1, 0), -11): (0, 45)
(8, 1, 2, (0, 1, 0), -10): (0, 60)
(8, 1, 2, (0, 1, 0), -9): (0, 90)
(8, 1, 2, (0, 1, 0), -8): (0, 152)
(8, 1, 2, (0, 1, 0), -7): (0, 225)
(8, 1, 2, (0, 1, 0), -6): (1, 322)
(8, 1, 2, (0, 1, 0), -5): (5, 430)
(8, 1, 2, (0, 1, 0), -4): (13, 641)
(8, 1, 2, (0, 1, 0), -3): (48, 901)
(8, 1, 2, (0, 1, 0), -2): (120, 1038)
(8, 1, 2, (0, 1, 0), -1): (421, 1656)
(8, 1, 2, (0, 1, 0), 0): (1092, 1816)
(8, 1, 2, (0, 1, 0), 1): (1566, 1760)
(8, 1, 2, (0, 1, 0), 2): (1594, 1684)
(8, 1, 2, (0, 1, 0), 3): (1347, 1372)
(8, 1, 2, (0, 1, 0), 4): (1108, 1117)
(8, 1, 2, (0, 1, 0), 5): (761, 764)
(8, 1, 2, (0, 1, 0), 6): (528, 528)
(8, 1, 2, (0, 1, 0), 7): (334, 334)
(8, 1, 2, (0, 1, 0), 8): (227, 227)
(8, 1, 2, (0, 1, 0), 9): (139, 139)
(8, 1, 2, (0, 1, 0), 10): (100, 100)
(8, 1, 2, (0, 1, 0), 11): (62, 62)
(8, 1, 2, (0, 1, 0), 12): (50, 50)
(8, 1, 2, (0, 1, 0), 13): (22, 22)
(8, 1, 2, (0, 1, 0), 14): (15, 15)
(8, 1, 2, (0, 1, 0), 15): (8, 8)
(8, 1, 2, (0, 1, 0), 16): (6, 6)
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(8, 1, 2, (0, 1, 0), 19): (1, 1)
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(8, 1, 2, (0, 1, 1), -13): (0, 2)
(8, 1, 2, (0, 1, 1), -12): (0, 8)
(8, 1, 2, (0, 1, 1), -11): (0, 15)
(8, 1, 2, (0, 1, 1), -10): (0, 15)
(8, 1, 2, (0, 1, 1), -9): (0, 21)
(8, 1, 2, (0, 1, 1), -8): (0, 32)
(8, 1, 2, (0, 1, 1), -7): (0, 58)
(8, 1, 2, (0, 1, 1), -6): (0, 83)
(8, 1, 2, (0, 1, 1), -5): (4, 108)
(8, 1, 2, (0, 1, 1), -4): (9, 164)
(8, 1, 2, (0, 1, 1), -3): (18, 232)
(8, 1, 2, (0, 1, 1), -2): (63, 312)
(8, 1, 2, (0, 1, 1), -1): (96, 296)
(8, 1, 2, (0, 1, 1), 0): (274, 414)
(8, 1, 2, (0, 1, 1), 1): (435, 472)
(8, 1, 2, (0, 1, 1), 2): (412, 442)
(8, 1, 2, (0, 1, 1), 3): (358, 361)
(8, 1, 2, (0, 1, 1), 4): (291, 296)
(8, 1, 2, (0, 1, 1), 5): (215, 215)
(8, 1, 2, (0, 1, 1), 6): (143, 143)
(8, 1, 2, (0, 1, 1), 7): (114, 114)
(8, 1, 2, (0, 1, 1), 8): (76, 76)
(8, 1, 2, (0, 1, 1), 9): (50, 50)
(8, 1, 2, (0, 1, 1), 10): (29, 29)
(8, 1, 2, (0, 1, 1), 11): (26, 26)
(8, 1, 2, (0, 1, 1), 12): (12, 12)
(8, 1, 2, (0, 1, 1), 13): (7, 7)
(8, 1, 2, (0, 1, 1), 14): (5, 5)
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(8, 1, 2, (1, 0, 0), -22): (0, 2)
(8, 1, 2, (1, 0, 0), -19): (0, 1)
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(8, 1, 2, (1, 0, 0), -17): (0, 3)
(8, 1, 2, (1, 0, 0), -16): (0, 8)
(8, 1, 2, (1, 0, 0), -15): (0, 10)
(8, 1, 2, (1, 0, 0), -14): (0, 17)
(8, 1, 2, (1, 0, 0), -13): (0, 30)
(8, 1, 2, (1, 0, 0), -12): (0, 47)
(8, 1, 2, (1, 0, 0), -11): (0, 92)
(8, 1, 2, (1, 0, 0), -10): (0, 134)
(8, 1, 2, (1, 0, 0), -9): (0, 218)
(8, 1, 2, (1, 0, 0), -8): (0, 335)
(8, 1, 2, (1, 0, 0), -7): (0, 526)
(8, 1, 2, (1, 0, 0), -6): (2, 781)
(8, 1, 2, (1, 0, 0), -5): (10, 1173)
(8, 1, 2, (1, 0, 0), -4): (42, 1575)
(8, 1, 2, (1, 0, 0), -3): (91, 2062)
(8, 1, 2, (1, 0, 0), -2): (256, 2655)
(8, 1, 2, (1, 0, 0), -1): (682, 2991)
(8, 1, 2, (1, 0, 0), 0): (1776, 3112)
(8, 1, 2, (1, 0, 0), 1): (2428, 2767)
(8, 1, 2, (1, 0, 0), 2): (2414, 2548)
(8, 1, 2, (1, 0, 0), 3): (2062, 2100)
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(8, 1, 2, (1, 0, 0), 5): (1356, 1358)
(8, 1, 2, (1, 0, 0), 6): (959, 960)
(8, 1, 2, (1, 0, 0), 7): (656, 656)
(8, 1, 2, (1, 0, 0), 8): (502, 503)
(8, 1, 2, (1, 0, 0), 9): (322, 322)
(8, 1, 2, (1, 0, 0), 10): (225, 225)
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(8, 1, 2, (1, 0, 0), 12): (75, 75)
(8, 1, 2, (1, 0, 0), 13): (41, 41)
(8, 1, 2, (1, 0, 0), 14): (28, 28)
(8, 1, 2, (1, 0, 0), 15): (17, 17)
(8, 1, 2, (1, 0, 0), 16): (7, 7)
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(8, 1, 2, (1, 0, 1), -12): (0, 9)
(8, 1, 2, (1, 0, 1), -11): (0, 11)
(8, 1, 2, (1, 0, 1), -10): (0, 27)
(8, 1, 2, (1, 0, 1), -9): (0, 29)
(8, 1, 2, (1, 0, 1), -8): (0, 39)
(8, 1, 2, (1, 0, 1), -7): (0, 84)
(8, 1, 2, (1, 0, 1), -6): (0, 132)
(8, 1, 2, (1, 0, 1), -5): (3, 211)
(8, 1, 2, (1, 0, 1), -4): (12, 302)
(8, 1, 2, (1, 0, 1), -3): (33, 391)
(8, 1, 2, (1, 0, 1), -2): (71, 482)
(8, 1, 2, (1, 0, 1), -1): (210, 703)
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(8, 1, 2, (1, 0, 1), 2): (683, 719)
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(8, 1, 2, (1, 0, 1), 5): (351, 351)
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(8, 1, 2, (1, 0, 1), 8): (107, 107)
(8, 1, 2, (1, 0, 1), 9): (72, 72)
(8, 1, 2, (1, 0, 1), 10): (57, 57)
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(8, 1, 2, (1, 1, 0), -12): (0, 23)
(8, 1, 2, (1, 1, 0), -11): (0, 28)
(8, 1, 2, (1, 1, 0), -10): (0, 56)
(8, 1, 2, (1, 1, 0), -9): (0, 94)
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(8, 1, 2, (1, 1, 0), -7): (0, 222)
(8, 1, 2, (1, 1, 0), -6): (1, 332)
(8, 1, 2, (1, 1, 0), -5): (7, 411)
(8, 1, 2, (1, 1, 0), -4): (37, 682)
(8, 1, 2, (1, 1, 0), -3): (66, 918)
(8, 1, 2, (1, 1, 0), -2): (158, 1110)
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(8, 1, 2, (1, 1, 0), 4): (926, 928)
(8, 1, 2, (1, 1, 0), 5): (701, 701)
(8, 1, 2, (1, 1, 0), 6): (548, 549)
(8, 1, 2, (1, 1, 0), 7): (396, 396)
(8, 1, 2, (1, 1, 0), 8): (227, 227)
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(8, 1, 2, (1, 1, 0), 11): (83, 83)
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(8, 1, 2, (1, 1, 0), 13): (23, 23)
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(8, 1, 2, (1, 1, 1), -8): (0, 39)
(8, 1, 2, (1, 1, 1), -7): (1, 68)
(8, 1, 2, (1, 1, 1), -6): (0, 94)
(8, 1, 2, (1, 1, 1), -5): (4, 134)
(8, 1, 2, (1, 1, 1), -4): (16, 192)
(8, 1, 2, (1, 1, 1), -3): (25, 239)
(8, 1, 2, (1, 1, 1), -2): (70, 349)
(8, 1, 2, (1, 1, 1), -1): (197, 519)
(8, 1, 2, (1, 1, 1), 0): (508, 745)
(8, 1, 2, (1, 1, 1), 1): (634, 689)
(8, 1, 2, (1, 1, 1), 2): (591, 622)
(8, 1, 2, (1, 1, 1), 3): (458, 463)
(8, 1, 2, (1, 1, 1), 4): (362, 364)
(8, 1, 2, (1, 1, 1), 5): (267, 268)
(8, 1, 2, (1, 1, 1), 6): (183, 184)
(8, 1, 2, (1, 1, 1), 7): (122, 122)
(8, 1, 2, (1, 1, 1), 8): (80, 80)
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(9, 0, 0, (0, 0, 0), -14): (0, 85)
(9, 0, 0, (0, 0, 0), -13): (0, 139)
(9, 0, 0, (0, 0, 0), -12): (0, 271)
(9, 0, 0, (0, 0, 0), -11): (0, 416)
(9, 0, 0, (0, 0, 0), -10): (0, 671)
(9, 0, 0, (0, 0, 0), -9): (0, 1048)
(9, 0, 0, (0, 0, 0), -8): (1, 1476)
(9, 0, 0, (0, 0, 0), -7): (0, 2059)
(9, 0, 0, (0, 0, 0), -6): (5, 3097)
(9, 0, 0, (0, 0, 0), -5): (13, 4387)
(9, 0, 0, (0, 0, 0), -4): (61, 5816)
(9, 0, 0, (0, 0, 0), -3): (156, 7345)
(9, 0, 0, (0, 0, 0), -2): (503, 8928)
(9, 0, 0, (0, 0, 0), -1): (1370, 10070)
(9, 0, 0, (0, 0, 0), 0): (4908, 10197)
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(9, 0, 0, (0, 0, 0), 2): (7677, 8222)
(9, 0, 0, (0, 0, 0), 3): (6372, 6551)
(9, 0, 0, (0, 0, 0), 4): (4812, 4872)
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(9, 0, 0, (0, 0, 0), 7): (1661, 1663)
(9, 0, 0, (0, 0, 0), 8): (1063, 1063)
(9, 0, 0, (0, 0, 0), 9): (681, 681)
(9, 0, 0, (0, 0, 0), 10): (444, 444)
(9, 0, 0, (0, 0, 0), 11): (284, 284)
(9, 0, 0, (0, 0, 0), 12): (162, 162)
(9, 0, 0, (0, 0, 0), 13): (97, 97)
(9, 0, 0, (0, 0, 0), 14): (60, 60)
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(9, 0, 0, (0, 0, 0), 17): (9, 9)
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(9, 0, 0, (0, 0, 1), -9): (0, 6)
(9, 0, 0, (0, 0, 1), -8): (0, 12)
(9, 0, 0, (0, 0, 1), -7): (0, 17)
(9, 0, 0, (0, 0, 1), -6): (0, 36)
(9, 0, 0, (0, 0, 1), -5): (0, 31)
(9, 0, 0, (0, 0, 1), -4): (1, 46)
(9, 0, 0, (0, 0, 1), -3): (4, 57)
(9, 0, 0, (0, 0, 1), -2): (9, 76)
(9, 0, 0, (0, 0, 1), -1): (28, 88)
(9, 0, 0, (0, 0, 1), 0): (94, 122)
(9, 0, 0, (0, 0, 1), 1): (111, 118)
(9, 0, 0, (0, 0, 1), 2): (138, 141)
(9, 0, 0, (0, 0, 1), 3): (104, 106)
(9, 0, 0, (0, 0, 1), 4): (75, 78)
(9, 0, 0, (0, 0, 1), 5): (52, 52)
(9, 0, 0, (0, 0, 1), 6): (35, 35)
(9, 0, 0, (0, 0, 1), 7): (26, 26)
(9, 0, 0, (0, 0, 1), 8): (13, 13)
(9, 0, 0, (0, 0, 1), 9): (14, 14)
(9, 0, 0, (0, 0, 1), 10): (9, 9)
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(9, 0, 0, (0, 0, 1), 12): (3, 3)
(9, 0, 0, (0, 0, 1), 13): (2, 2)
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(9, 0, 0, (0, 0, 1), 15): (1, 1)
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(9, 0, 0, (0, 1, 0), -15): (0, 3)
(9, 0, 0, (0, 1, 0), -14): (0, 4)
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(9, 0, 1, (1, 0, 0), -10): (0, 200)
(9, 0, 1, (1, 0, 0), -9): (0, 295)
(9, 0, 1, (1, 0, 0), -8): (0, 427)
(9, 0, 1, (1, 0, 0), -7): (0, 597)
(9, 0, 1, (1, 0, 0), -6): (1, 942)
(9, 0, 1, (1, 0, 0), -5): (2, 1304)
(9, 0, 1, (1, 0, 0), -4): (14, 1744)
(9, 0, 1, (1, 0, 0), -3): (61, 2178)
(9, 0, 1, (1, 0, 0), -2): (191, 2710)
(9, 0, 1, (1, 0, 0), -1): (442, 2962)
(9, 0, 1, (1, 0, 0), 0): (1412, 2875)
(9, 0, 1, (1, 0, 0), 1): (2233, 2637)
(9, 0, 1, (1, 0, 0), 2): (2199, 2338)
(9, 0, 1, (1, 0, 0), 3): (1966, 2037)
(9, 0, 1, (1, 0, 0), 4): (1501, 1515)
(9, 0, 1, (1, 0, 0), 5): (1137, 1146)
(9, 0, 1, (1, 0, 0), 6): (806, 807)
(9, 0, 1, (1, 0, 0), 7): (564, 565)
(9, 0, 1, (1, 0, 0), 8): (376, 376)
(9, 0, 1, (1, 0, 0), 9): (228, 228)
(9, 0, 1, (1, 0, 0), 10): (171, 171)
(9, 0, 1, (1, 0, 0), 11): (101, 101)
(9, 0, 1, (1, 0, 0), 12): (63, 63)
(9, 0, 1, (1, 0, 0), 13): (41, 41)
(9, 0, 1, (1, 0, 0), 14): (18, 18)
(9, 0, 1, (1, 0, 0), 15): (9, 9)
(9, 0, 1, (1, 0, 0), 16): (8, 8)
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(9, 0, 1, (1, 0, 0), 19): (2, 2)
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(9, 0, 1, (1, 0, 1), -13): (0, 3)
(9, 0, 1, (1, 0, 1), -12): (0, 9)
(9, 0, 1, (1, 0, 1), -11): (0, 12)
(9, 0, 1, (1, 0, 1), -10): (0, 20)
(9, 0, 1, (1, 0, 1), -9): (0, 39)
(9, 0, 1, (1, 0, 1), -8): (0, 42)
(9, 0, 1, (1, 0, 1), -7): (0, 63)
(9, 0, 1, (1, 0, 1), -6): (0, 104)
(9, 0, 1, (1, 0, 1), -5): (1, 146)
(9, 0, 1, (1, 0, 1), -4): (4, 221)
(9, 0, 1, (1, 0, 1), -3): (11, 263)
(9, 0, 1, (1, 0, 1), -2): (58, 350)
(9, 0, 1, (1, 0, 1), -1): (139, 429)
(9, 0, 1, (1, 0, 1), 0): (376, 547)
(9, 0, 1, (1, 0, 1), 1): (466, 512)
(9, 0, 1, (1, 0, 1), 2): (441, 457)
(9, 0, 1, (1, 0, 1), 3): (391, 399)
(9, 0, 1, (1, 0, 1), 4): (290, 292)
(9, 0, 1, (1, 0, 1), 5): (209, 210)
(9, 0, 1, (1, 0, 1), 6): (172, 172)
(9, 0, 1, (1, 0, 1), 7): (101, 101)
(9, 0, 1, (1, 0, 1), 8): (68, 68)
(9, 0, 1, (1, 0, 1), 9): (44, 44)
(9, 0, 1, (1, 0, 1), 10): (47, 47)
(9, 0, 1, (1, 0, 1), 11): (15, 15)
(9, 0, 1, (1, 0, 1), 12): (12, 12)
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(9, 0, 1, (1, 1, 0), -13): (0, 13)
(9, 0, 1, (1, 1, 0), -12): (0, 25)
(9, 0, 1, (1, 1, 0), -11): (0, 51)
(9, 0, 1, (1, 1, 0), -10): (0, 78)
(9, 0, 1, (1, 1, 0), -9): (0, 100)
(9, 0, 1, (1, 1, 0), -8): (0, 164)
(9, 0, 1, (1, 1, 0), -7): (0, 223)
(9, 0, 1, (1, 1, 0), -6): (1, 341)
(9, 0, 1, (1, 1, 0), -5): (4, 450)
(9, 0, 1, (1, 1, 0), -4): (15, 579)
(9, 0, 1, (1, 1, 0), -3): (49, 761)
(9, 0, 1, (1, 1, 0), -2): (139, 979)
(9, 0, 1, (1, 1, 0), -1): (266, 940)
(9, 0, 1, (1, 1, 0), 0): (761, 1279)
(9, 0, 1, (1, 1, 0), 1): (955, 1093)
(9, 0, 1, (1, 1, 0), 2): (893, 944)
(9, 0, 1, (1, 1, 0), 3): (771, 793)
(9, 0, 1, (1, 1, 0), 4): (562, 569)
(9, 0, 1, (1, 1, 0), 5): (469, 474)
(9, 0, 1, (1, 1, 0), 6): (316, 317)
(9, 0, 1, (1, 1, 0), 7): (235, 235)
(9, 0, 1, (1, 1, 0), 8): (170, 170)
(9, 0, 1, (1, 1, 0), 9): (95, 95)
(9, 0, 1, (1, 1, 0), 10): (79, 79)
(9, 0, 1, (1, 1, 0), 11): (44, 44)
(9, 0, 1, (1, 1, 0), 12): (19, 19)
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(9, 0, 1, (1, 1, 1), -10): (0, 16)
(9, 0, 1, (1, 1, 1), -9): (0, 33)
(9, 0, 1, (1, 1, 1), -8): (0, 36)
(9, 0, 1, (1, 1, 1), -7): (0, 63)
(9, 0, 1, (1, 1, 1), -6): (2, 89)
(9, 0, 1, (1, 1, 1), -5): (4, 111)
(9, 0, 1, (1, 1, 1), -4): (12, 152)
(9, 0, 1, (1, 1, 1), -3): (26, 191)
(9, 0, 1, (1, 1, 1), -2): (73, 256)
(9, 0, 1, (1, 1, 1), -1): (184, 376)
(9, 0, 1, (1, 1, 1), 0): (369, 518)
(9, 0, 1, (1, 1, 1), 1): (441, 493)
(9, 0, 1, (1, 1, 1), 2): (399, 417)
(9, 0, 1, (1, 1, 1), 3): (341, 348)
(9, 0, 1, (1, 1, 1), 4): (231, 234)
(9, 0, 1, (1, 1, 1), 5): (180, 181)
(9, 0, 1, (1, 1, 1), 6): (119, 119)
(9, 0, 1, (1, 1, 1), 7): (73, 73)
(9, 0, 1, (1, 1, 1), 8): (48, 48)
(9, 0, 1, (1, 1, 1), 9): (22, 22)
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(9, 0, 2, (0, 0, 0), -15): (0, 24)
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(9, 0, 2, (0, 0, 0), -10): (0, 352)
(9, 0, 2, (0, 0, 0), -9): (0, 544)
(9, 0, 2, (0, 0, 0), -8): (0, 789)
(9, 0, 2, (0, 0, 0), -7): (0, 1130)
(9, 0, 2, (0, 0, 0), -6): (0, 1639)
(9, 0, 2, (0, 0, 0), -5): (0, 2372)
(9, 0, 2, (0, 0, 0), -4): (0, 3175)
(9, 0, 2, (0, 0, 0), -3): (8, 4030)
(9, 0, 2, (0, 0, 0), -2): (34, 4950)
(9, 0, 2, (0, 0, 0), -1): (142, 5617)
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(9, 0, 2, (0, 0, 0), 12): (110, 110)
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(9, 0, 2, (0, 0, 1), -3): (2, 311)
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(9, 0, 2, (0, 0, 1), -1): (47, 494)
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(9, 0, 2, (0, 1, 0), -8): (0, 182)
(9, 0, 2, (0, 1, 0), -7): (0, 226)
(9, 0, 2, (0, 1, 0), -6): (0, 354)
(9, 0, 2, (0, 1, 0), -5): (0, 507)
(9, 0, 2, (0, 1, 0), -4): (1, 740)
(9, 0, 2, (0, 1, 0), -3): (12, 994)
(9, 0, 2, (0, 1, 0), -2): (23, 1184)
(9, 0, 2, (0, 1, 0), -1): (115, 1262)
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(9, 0, 2, (0, 1, 0), 4): (1025, 1038)
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(9, 0, 2, (0, 1, 0), 7): (316, 317)
(9, 0, 2, (0, 1, 0), 8): (202, 202)
(9, 0, 2, (0, 1, 0), 9): (149, 149)
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(9, 0, 2, (0, 1, 1), -8): (0, 39)
(9, 0, 2, (0, 1, 1), -7): (0, 51)
(9, 0, 2, (0, 1, 1), -6): (0, 90)
(9, 0, 2, (0, 1, 1), -5): (0, 144)
(9, 0, 2, (0, 1, 1), -4): (0, 180)
(9, 0, 2, (0, 1, 1), -3): (7, 233)
(9, 0, 2, (0, 1, 1), -2): (25, 307)
(9, 0, 2, (0, 1, 1), -1): (65, 298)
(9, 0, 2, (0, 1, 1), 0): (171, 361)
(9, 0, 2, (0, 1, 1), 1): (354, 423)
(9, 0, 2, (0, 1, 1), 2): (372, 394)
(9, 0, 2, (0, 1, 1), 3): (278, 282)
(9, 0, 2, (0, 1, 1), 4): (255, 259)
(9, 0, 2, (0, 1, 1), 5): (188, 190)
(9, 0, 2, (0, 1, 1), 6): (140, 140)
(9, 0, 2, (0, 1, 1), 7): (100, 100)
(9, 0, 2, (0, 1, 1), 8): (64, 64)
(9, 0, 2, (0, 1, 1), 9): (38, 38)
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(9, 0, 2, (1, 0, 0), -12): (0, 87)
(9, 0, 2, (1, 0, 0), -11): (0, 108)
(9, 0, 2, (1, 0, 0), -10): (0, 213)
(9, 0, 2, (1, 0, 0), -9): (0, 302)
(9, 0, 2, (1, 0, 0), -8): (0, 425)
(9, 0, 2, (1, 0, 0), -7): (0, 617)
(9, 0, 2, (1, 0, 0), -6): (0, 866)
(9, 0, 2, (1, 0, 0), -5): (0, 1229)
(9, 0, 2, (1, 0, 0), -4): (1, 1744)
(9, 0, 2, (1, 0, 0), -3): (17, 2185)
(9, 0, 2, (1, 0, 0), -2): (76, 2686)
(9, 0, 2, (1, 0, 0), -1): (179, 3084)
(9, 0, 2, (1, 0, 0), 0): (1104, 2754)
(9, 0, 2, (1, 0, 0), 1): (2170, 2612)
(9, 0, 2, (1, 0, 0), 2): (2145, 2310)
(9, 0, 2, (1, 0, 0), 3): (1862, 1927)
(9, 0, 2, (1, 0, 0), 4): (1612, 1628)
(9, 0, 2, (1, 0, 0), 5): (1212, 1222)
(9, 0, 2, (1, 0, 0), 6): (918, 919)
(9, 0, 2, (1, 0, 0), 7): (656, 657)
(9, 0, 2, (1, 0, 0), 8): (411, 411)
(9, 0, 2, (1, 0, 0), 9): (276, 276)
(9, 0, 2, (1, 0, 0), 10): (191, 191)
(9, 0, 2, (1, 0, 0), 11): (139, 139)
(9, 0, 2, (1, 0, 0), 12): (69, 69)
(9, 0, 2, (1, 0, 0), 13): (57, 57)
(9, 0, 2, (1, 0, 0), 14): (31, 31)
(9, 0, 2, (1, 0, 0), 15): (6, 6)
(9, 0, 2, (1, 0, 0), 16): (12, 12)
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(9, 0, 2, (1, 0, 1), -12): (0, 14)
(9, 0, 2, (1, 0, 1), -11): (0, 22)
(9, 0, 2, (1, 0, 1), -10): (0, 32)
(9, 0, 2, (1, 0, 1), -9): (0, 40)
(9, 0, 2, (1, 0, 1), -8): (0, 68)
(9, 0, 2, (1, 0, 1), -7): (0, 95)
(9, 0, 2, (1, 0, 1), -6): (0, 147)
(9, 0, 2, (1, 0, 1), -5): (1, 191)
(9, 0, 2, (1, 0, 1), -4): (0, 271)
(9, 0, 2, (1, 0, 1), -3): (6, 398)
(9, 0, 2, (1, 0, 1), -2): (29, 483)
(9, 0, 2, (1, 0, 1), -1): (95, 653)
(9, 0, 2, (1, 0, 1), 0): (382, 733)
(9, 0, 2, (1, 0, 1), 1): (560, 679)
(9, 0, 2, (1, 0, 1), 2): (578, 619)
(9, 0, 2, (1, 0, 1), 3): (514, 530)
(9, 0, 2, (1, 0, 1), 4): (421, 427)
(9, 0, 2, (1, 0, 1), 5): (309, 313)
(9, 0, 2, (1, 0, 1), 6): (227, 229)
(9, 0, 2, (1, 0, 1), 7): (153, 153)
(9, 0, 2, (1, 0, 1), 8): (108, 108)
(9, 0, 2, (1, 0, 1), 9): (65, 65)
(9, 0, 2, (1, 0, 1), 10): (42, 42)
(9, 0, 2, (1, 0, 1), 11): (31, 31)
(9, 0, 2, (1, 0, 1), 12): (16, 16)
(9, 0, 2, (1, 0, 1), 13): (12, 12)
(9, 0, 2, (1, 0, 1), 14): (13, 13)
(9, 0, 2, (1, 0, 1), 15): (2, 2)
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(9, 0, 2, (1, 0, 1), 19): (3, 3)
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(9, 0, 2, (1, 1, 0), -15): (0, 6)
(9, 0, 2, (1, 1, 0), -14): (0, 8)
(9, 0, 2, (1, 1, 0), -13): (0, 11)
(9, 0, 2, (1, 1, 0), -12): (0, 24)
(9, 0, 2, (1, 1, 0), -11): (0, 54)
(9, 0, 2, (1, 1, 0), -10): (0, 95)
(9, 0, 2, (1, 1, 0), -9): (0, 139)
(9, 0, 2, (1, 1, 0), -8): (0, 184)
(9, 0, 2, (1, 1, 0), -7): (0, 241)
(9, 0, 2, (1, 1, 0), -6): (0, 383)
(9, 0, 2, (1, 1, 0), -5): (1, 470)
(9, 0, 2, (1, 1, 0), -4): (4, 705)
(9, 0, 2, (1, 1, 0), -3): (24, 855)
(9, 0, 2, (1, 1, 0), -2): (63, 1101)
(9, 0, 2, (1, 1, 0), -1): (142, 1150)
(9, 0, 2, (1, 1, 0), 0): (731, 1572)
(9, 0, 2, (1, 1, 0), 1): (1213, 1454)
(9, 0, 2, (1, 1, 0), 2): (1172, 1238)
(9, 0, 2, (1, 1, 0), 3): (933, 975)
(9, 0, 2, (1, 1, 0), 4): (832, 839)
(9, 0, 2, (1, 1, 0), 5): (621, 628)
(9, 0, 2, (1, 1, 0), 6): (426, 426)
(9, 0, 2, (1, 1, 0), 7): (351, 351)
(9, 0, 2, (1, 1, 0), 8): (225, 225)
(9, 0, 2, (1, 1, 0), 9): (158, 158)
(9, 0, 2, (1, 1, 0), 10): (101, 101)
(9, 0, 2, (1, 1, 0), 11): (71, 71)
(9, 0, 2, (1, 1, 0), 12): (35, 35)
(9, 0, 2, (1, 1, 0), 13): (23, 23)
(9, 0, 2, (1, 1, 0), 14): (19, 19)
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(9, 0, 2, (1, 1, 1), -10): (0, 26)
(9, 0, 2, (1, 1, 1), -9): (0, 38)
(9, 0, 2, (1, 1, 1), -8): (0, 51)
(9, 0, 2, (1, 1, 1), -7): (0, 54)
(9, 0, 2, (1, 1, 1), -6): (0, 118)
(9, 0, 2, (1, 1, 1), -5): (1, 114)
(9, 0, 2, (1, 1, 1), -4): (3, 184)
(9, 0, 2, (1, 1, 1), -3): (8, 238)
(9, 0, 2, (1, 1, 1), -2): (36, 304)
(9, 0, 2, (1, 1, 1), -1): (90, 378)
(9, 0, 2, (1, 1, 1), 0): (307, 560)
(9, 0, 2, (1, 1, 1), 1): (450, 550)
(9, 0, 2, (1, 1, 1), 2): (437, 468)
(9, 0, 2, (1, 1, 1), 3): (336, 349)
(9, 0, 2, (1, 1, 1), 4): (274, 277)
(9, 0, 2, (1, 1, 1), 5): (193, 195)
(9, 0, 2, (1, 1, 1), 6): (153, 153)
(9, 0, 2, (1, 1, 1), 7): (101, 101)
(9, 0, 2, (1, 1, 1), 8): (74, 74)
(9, 0, 2, (1, 1, 1), 9): (41, 41)
(9, 0, 2, (1, 1, 1), 10): (34, 34)
(9, 0, 2, (1, 1, 1), 11): (19, 19)
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(9, 1, 0, (0, 0, 0), -17): (0, 15)
(9, 1, 0, (0, 0, 0), -16): (0, 34)
(9, 1, 0, (0, 0, 0), -15): (0, 43)
(9, 1, 0, (0, 0, 0), -14): (0, 105)
(9, 1, 0, (0, 0, 0), -13): (0, 138)
(9, 1, 0, (0, 0, 0), -12): (0, 225)
(9, 1, 0, (0, 0, 0), -11): (0, 392)
(9, 1, 0, (0, 0, 0), -10): (0, 602)
(9, 1, 0, (0, 0, 0), -9): (0, 892)
(9, 1, 0, (0, 0, 0), -8): (0, 1341)
(9, 1, 0, (0, 0, 0), -7): (5, 2078)
(9, 1, 0, (0, 0, 0), -6): (5, 2887)
(9, 1, 0, (0, 0, 0), -5): (33, 4094)
(9, 1, 0, (0, 0, 0), -4): (72, 5481)
(9, 1, 0, (0, 0, 0), -3): (237, 6979)
(9, 1, 0, (0, 0, 0), -2): (672, 8534)
(9, 1, 0, (0, 0, 0), -1): (1768, 9599)
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(9, 1, 0, (0, 0, 0), 2): (8240, 8240)
(9, 1, 0, (0, 0, 0), 3): (6622, 6622)
(9, 1, 0, (0, 0, 0), 4): (5196, 5196)
(9, 1, 0, (0, 0, 0), 5): (3821, 3821)
(9, 1, 0, (0, 0, 0), 6): (2687, 2687)
(9, 1, 0, (0, 0, 0), 7): (1806, 1806)
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(9, 1, 0, (0, 0, 0), 9): (883, 883)
(9, 1, 0, (0, 0, 0), 10): (572, 572)
(9, 1, 0, (0, 0, 0), 11): (334, 334)
(9, 1, 0, (0, 0, 0), 12): (213, 213)
(9, 1, 0, (0, 0, 0), 13): (111, 111)
(9, 1, 0, (0, 0, 0), 14): (69, 69)
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(9, 1, 0, (0, 0, 0), 16): (24, 24)
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(9, 1, 0, (0, 0, 1), -7): (0, 15)
(9, 1, 0, (0, 0, 1), -6): (0, 22)
(9, 1, 0, (0, 0, 1), -5): (2, 59)
(9, 1, 0, (0, 0, 1), -4): (5, 72)
(9, 1, 0, (0, 0, 1), -3): (5, 60)
(9, 1, 0, (0, 0, 1), -2): (14, 84)
(9, 1, 0, (0, 0, 1), -1): (47, 91)
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(9, 1, 0, (0, 1, 0), -10): (0, 39)
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(9, 1, 0, (0, 1, 0), -8): (0, 84)
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(9, 1, 0, (0, 1, 0), -6): (0, 170)
(9, 1, 0, (0, 1, 0), -5): (5, 247)
(9, 1, 0, (0, 1, 0), -4): (14, 331)
(9, 1, 0, (0, 1, 0), -3): (24, 370)
(9, 1, 0, (0, 1, 0), -2): (79, 468)
(9, 1, 0, (0, 1, 0), -1): (204, 504)
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(9, 1, 0, (0, 1, 1), -4): (5, 58)
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(9, 1, 0, (0, 1, 1), -1): (64, 94)
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(9, 1, 0, (1, 0, 0), -9): (0, 191)
(9, 1, 0, (1, 0, 0), -8): (0, 381)
(9, 1, 0, (1, 0, 0), -7): (4, 549)
(9, 1, 0, (1, 0, 0), -6): (3, 705)
(9, 1, 0, (1, 0, 0), -5): (22, 1053)
(9, 1, 0, (1, 0, 0), -4): (43, 1357)
(9, 1, 0, (1, 0, 0), -3): (147, 1768)
(9, 1, 0, (1, 0, 0), -2): (352, 2190)
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(9, 1, 0, (1, 0, 1), -6): (0, 26)
(9, 1, 0, (1, 0, 1), -5): (2, 62)
(9, 1, 0, (1, 0, 1), -4): (7, 84)
(9, 1, 0, (1, 0, 1), -3): (21, 122)
(9, 1, 0, (1, 0, 1), -2): (51, 178)
(9, 1, 0, (1, 0, 1), -1): (117, 178)
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(9, 1, 0, (1, 1, 0), -9): (0, 59)
(9, 1, 0, (1, 1, 0), -8): (0, 79)
(9, 1, 0, (1, 1, 0), -7): (3, 136)
(9, 1, 0, (1, 1, 0), -6): (0, 192)
(9, 1, 0, (1, 1, 0), -5): (13, 283)
(9, 1, 0, (1, 1, 0), -4): (24, 341)
(9, 1, 0, (1, 1, 0), -3): (81, 462)
(9, 1, 0, (1, 1, 0), -2): (171, 575)
(9, 1, 0, (1, 1, 0), -1): (211, 405)
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(9, 1, 0, (1, 1, 1), -5): (8, 69)
(9, 1, 0, (1, 1, 1), -4): (14, 76)
(9, 1, 0, (1, 1, 1), -3): (29, 100)
(9, 1, 0, (1, 1, 1), -2): (50, 100)
(9, 1, 0, (1, 1, 1), -1): (87, 129)
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(9, 1, 1, (0, 0, 0), -14): (0, 75)
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(9, 1, 1, (0, 0, 0), -12): (0, 158)
(9, 1, 1, (0, 0, 0), -11): (0, 251)
(9, 1, 1, (0, 0, 0), -10): (0, 415)
(9, 1, 1, (0, 0, 0), -9): (0, 649)
(9, 1, 1, (0, 0, 0), -8): (0, 887)
(9, 1, 1, (0, 0, 0), -7): (1, 1418)
(9, 1, 1, (0, 0, 0), -6): (2, 1997)
(9, 1, 1, (0, 0, 0), -5): (5, 2818)
(9, 1, 1, (0, 0, 0), -4): (21, 3844)
(9, 1, 1, (0, 0, 0), -3): (69, 4954)
(9, 1, 1, (0, 0, 0), -2): (243, 5954)
(9, 1, 1, (0, 0, 0), -1): (691, 6721)
(9, 1, 1, (0, 0, 0), 0): (3993, 6654)
(9, 1, 1, (0, 0, 0), 1): (275, 275)
(9, 1, 1, (0, 0, 0), 2): (120, 120)
(9, 1, 1, (0, 0, 0), 3): (49, 49)
(9, 1, 1, (0, 0, 0), 4): (11, 11)
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(9, 1, 1, (0, 0, 1), -8): (0, 32)
(9, 1, 1, (0, 0, 1), -7): (0, 41)
(9, 1, 1, (0, 0, 1), -6): (0, 76)
(9, 1, 1, (0, 0, 1), -5): (0, 100)
(9, 1, 1, (0, 0, 1), -4): (2, 145)
(9, 1, 1, (0, 0, 1), -3): (4, 169)
(9, 1, 1, (0, 0, 1), -2): (18, 197)
(9, 1, 1, (0, 0, 1), -1): (127, 330)
(9, 1, 1, (0, 0, 1), 0): (314, 375)
(9, 1, 1, (0, 0, 1), 1): (20, 20)
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(9, 1, 1, (0, 1, 0), -12): (0, 18)
(9, 1, 1, (0, 1, 0), -11): (0, 47)
(9, 1, 1, (0, 1, 0), -10): (0, 56)
(9, 1, 1, (0, 1, 0), -9): (0, 90)
(9, 1, 1, (0, 1, 0), -8): (0, 147)
(9, 1, 1, (0, 1, 0), -7): (0, 221)
(9, 1, 1, (0, 1, 0), -6): (0, 262)
(9, 1, 1, (0, 1, 0), -5): (2, 401)
(9, 1, 1, (0, 1, 0), -4): (8, 561)
(9, 1, 1, (0, 1, 0), -3): (25, 635)
(9, 1, 1, (0, 1, 0), -2): (80, 793)
(9, 1, 1, (0, 1, 0), -1): (426, 1536)
(9, 1, 1, (0, 1, 0), 0): (1332, 1869)
(9, 1, 1, (0, 1, 0), 1): (116, 116)
(9, 1, 1, (0, 1, 1), -22): (0, 1)
(9, 1, 1, (0, 1, 1), -17): (0, 1)
(9, 1, 1, (0, 1, 1), -16): (0, 1)
(9, 1, 1, (0, 1, 1), -15): (0, 2)
(9, 1, 1, (0, 1, 1), -14): (0, 1)
(9, 1, 1, (0, 1, 1), -13): (0, 2)
(9, 1, 1, (0, 1, 1), -12): (0, 9)
(9, 1, 1, (0, 1, 1), -11): (0, 11)
(9, 1, 1, (0, 1, 1), -10): (0, 9)
(9, 1, 1, (0, 1, 1), -9): (0, 29)
(9, 1, 1, (0, 1, 1), -8): (0, 36)
(9, 1, 1, (0, 1, 1), -7): (0, 54)
(9, 1, 1, (0, 1, 1), -6): (0, 61)
(9, 1, 1, (0, 1, 1), -5): (2, 101)
(9, 1, 1, (0, 1, 1), -4): (10, 168)
(9, 1, 1, (0, 1, 1), -3): (14, 174)
(9, 1, 1, (0, 1, 1), -2): (90, 309)
(9, 1, 1, (0, 1, 1), -1): (157, 299)
(9, 1, 1, (0, 1, 1), 0): (274, 338)
(9, 1, 1, (0, 1, 1), 1): (55, 55)
(9, 1, 1, (1, 0, 0), -22): (0, 1)
(9, 1, 1, (1, 0, 0), -20): (0, 2)
(9, 1, 1, (1, 0, 0), -19): (0, 2)
(9, 1, 1, (1, 0, 0), -18): (0, 1)
(9, 1, 1, (1, 0, 0), -17): (0, 1)
(9, 1, 1, (1, 0, 0), -16): (0, 12)
(9, 1, 1, (1, 0, 0), -15): (0, 14)
(9, 1, 1, (1, 0, 0), -14): (0, 26)
(9, 1, 1, (1, 0, 0), -13): (0, 42)
(9, 1, 1, (1, 0, 0), -12): (0, 56)
(9, 1, 1, (1, 0, 0), -11): (0, 108)
(9, 1, 1, (1, 0, 0), -10): (0, 192)
(9, 1, 1, (1, 0, 0), -9): (0, 246)
(9, 1, 1, (1, 0, 0), -8): (0, 424)
(9, 1, 1, (1, 0, 0), -7): (2, 651)
(9, 1, 1, (1, 0, 0), -6): (3, 819)
(9, 1, 1, (1, 0, 0), -5): (5, 1221)
(9, 1, 1, (1, 0, 0), -4): (22, 1650)
(9, 1, 1, (1, 0, 0), -3): (68, 2199)
(9, 1, 1, (1, 0, 0), -2): (242, 2613)
(9, 1, 1, (1, 0, 0), -1): (560, 2706)
(9, 1, 1, (1, 0, 0), 0): (1863, 2790)
(9, 1, 1, (1, 0, 0), 1): (201, 201)
(9, 1, 1, (1, 0, 1), -17): (0, 2)
(9, 1, 1, (1, 0, 1), -16): (0, 1)
(9, 1, 1, (1, 0, 1), -15): (0, 2)
(9, 1, 1, (1, 0, 1), -14): (0, 4)
(9, 1, 1, (1, 0, 1), -13): (0, 6)
(9, 1, 1, (1, 0, 1), -12): (0, 10)
(9, 1, 1, (1, 0, 1), -11): (0, 11)
(9, 1, 1, (1, 0, 1), -10): (0, 28)
(9, 1, 1, (1, 0, 1), -9): (0, 42)
(9, 1, 1, (1, 0, 1), -8): (0, 51)
(9, 1, 1, (1, 0, 1), -7): (0, 89)
(9, 1, 1, (1, 0, 1), -6): (0, 111)
(9, 1, 1, (1, 0, 1), -5): (1, 153)
(9, 1, 1, (1, 0, 1), -4): (2, 202)
(9, 1, 1, (1, 0, 1), -3): (27, 270)
(9, 1, 1, (1, 0, 1), -2): (56, 328)
(9, 1, 1, (1, 0, 1), -1): (214, 455)
(9, 1, 1, (1, 0, 1), 0): (533, 621)
(9, 1, 1, (1, 0, 1), 1): (38, 38)
(9, 1, 1, (1, 1, 0), -20): (0, 1)
(9, 1, 1, (1, 1, 0), -19): (0, 3)
(9, 1, 1, (1, 1, 0), -17): (0, 1)
(9, 1, 1, (1, 1, 0), -16): (0, 5)
(9, 1, 1, (1, 1, 0), -15): (0, 5)
(9, 1, 1, (1, 1, 0), -14): (0, 10)
(9, 1, 1, (1, 1, 0), -13): (0, 15)
(9, 1, 1, (1, 1, 0), -12): (0, 19)
(9, 1, 1, (1, 1, 0), -11): (0, 41)
(9, 1, 1, (1, 1, 0), -10): (0, 64)
(9, 1, 1, (1, 1, 0), -9): (0, 87)
(9, 1, 1, (1, 1, 0), -8): (0, 133)
(9, 1, 1, (1, 1, 0), -7): (1, 251)
(9, 1, 1, (1, 1, 0), -6): (2, 305)
(9, 1, 1, (1, 1, 0), -5): (3, 447)
(9, 1, 1, (1, 1, 0), -4): (18, 588)
(9, 1, 1, (1, 1, 0), -3): (71, 741)
(9, 1, 1, (1, 1, 0), -2): (177, 948)
(9, 1, 1, (1, 1, 0), -1): (339, 916)
(9, 1, 1, (1, 1, 0), 0): (1232, 1663)
(9, 1, 1, (1, 1, 0), 1): (415, 415)
(9, 1, 1, (1, 1, 1), -19): (0, 2)
(9, 1, 1, (1, 1, 1), -17): (0, 1)
(9, 1, 1, (1, 1, 1), -16): (0, 1)
(9, 1, 1, (1, 1, 1), -14): (0, 1)
(9, 1, 1, (1, 1, 1), -13): (0, 6)
(9, 1, 1, (1, 1, 1), -12): (0, 3)
(9, 1, 1, (1, 1, 1), -11): (0, 14)
(9, 1, 1, (1, 1, 1), -10): (0, 17)
(9, 1, 1, (1, 1, 1), -9): (0, 29)
(9, 1, 1, (1, 1, 1), -8): (0, 30)
(9, 1, 1, (1, 1, 1), -7): (2, 54)
(9, 1, 1, (1, 1, 1), -6): (1, 67)
(9, 1, 1, (1, 1, 1), -5): (3, 112)
(9, 1, 1, (1, 1, 1), -4): (13, 158)
(9, 1, 1, (1, 1, 1), -3): (31, 202)
(9, 1, 1, (1, 1, 1), -2): (85, 254)
(9, 1, 1, (1, 1, 1), -1): (220, 410)
(9, 1, 1, (1, 1, 1), 0): (799, 931)
(9, 1, 1, (1, 1, 1), 1): (360, 360)
(9, 1, 2, (0, 0, 0), -22): (0, 2)
(9, 1, 2, (0, 0, 0), -21): (0, 2)
(9, 1, 2, (0, 0, 0), -19): (0, 3)
(9, 1, 2, (0, 0, 0), -18): (0, 6)
(9, 1, 2, (0, 0, 0), -17): (0, 5)
(9, 1, 2, (0, 0, 0), -16): (0, 14)
(9, 1, 2, (0, 0, 0), -15): (0, 20)
(9, 1, 2, (0, 0, 0), -14): (0, 60)
(9, 1, 2, (0, 0, 0), -13): (0, 72)
(9, 1, 2, (0, 0, 0), -12): (0, 131)
(9, 1, 2, (0, 0, 0), -11): (0, 191)
(9, 1, 2, (0, 0, 0), -10): (0, 305)
(9, 1, 2, (0, 0, 0), -9): (0, 479)
(9, 1, 2, (0, 0, 0), -8): (0, 666)
(9, 1, 2, (0, 0, 0), -7): (0, 1049)
(9, 1, 2, (0, 0, 0), -6): (1, 1566)
(9, 1, 2, (0, 0, 0), -5): (1, 2105)
(9, 1, 2, (0, 0, 0), -4): (4, 2888)
(9, 1, 2, (0, 0, 0), -3): (22, 3739)
(9, 1, 2, (0, 0, 0), -2): (62, 4526)
(9, 1, 2, (0, 0, 0), -1): (176, 5109)
(9, 1, 2, (0, 0, 0), 0): (2707, 4963)
(9, 1, 2, (0, 0, 0), 1): (247, 247)
(9, 1, 2, (0, 0, 0), 2): (104, 104)
(9, 1, 2, (0, 0, 0), 3): (41, 41)
(9, 1, 2, (0, 0, 0), 4): (25, 25)
(9, 1, 2, (0, 0, 1), -17): (0, 1)
(9, 1, 2, (0, 0, 1), -16): (0, 1)
(9, 1, 2, (0, 0, 1), -15): (0, 2)
(9, 1, 2, (0, 0, 1), -14): (0, 4)
(9, 1, 2, (0, 0, 1), -13): (0, 5)
(9, 1, 2, (0, 0, 1), -12): (0, 4)
(9, 1, 2, (0, 0, 1), -11): (0, 15)
(9, 1, 2, (0, 0, 1), -10): (0, 27)
(9, 1, 2, (0, 0, 1), -9): (0, 32)
(9, 1, 2, (0, 0, 1), -8): (0, 55)
(9, 1, 2, (0, 0, 1), -7): (0, 88)
(9, 1, 2, (0, 0, 1), -6): (0, 116)
(9, 1, 2, (0, 0, 1), -5): (0, 175)
(9, 1, 2, (0, 0, 1), -4): (0, 249)
(9, 1, 2, (0, 0, 1), -3): (7, 320)
(9, 1, 2, (0, 0, 1), -2): (19, 329)
(9, 1, 2, (0, 0, 1), -1): (83, 566)
(9, 1, 2, (0, 0, 1), 0): (292, 430)
(9, 1, 2, (0, 0, 1), 1): (29, 29)
(9, 1, 2, (0, 1, 0), -22): (0, 1)
(9, 1, 2, (0, 1, 0), -18): (0, 1)
(9, 1, 2, (0, 1, 0), -17): (0, 3)
(9, 1, 2, (0, 1, 0), -16): (0, 2)
(9, 1, 2, (0, 1, 0), -15): (0, 6)
(9, 1, 2, (0, 1, 0), -14): (0, 11)
(9, 1, 2, (0, 1, 0), -13): (0, 12)
(9, 1, 2, (0, 1, 0), -12): (0, 23)
(9, 1, 2, (0, 1, 0), -11): (0, 46)
(9, 1, 2, (0, 1, 0), -10): (0, 68)
(9, 1, 2, (0, 1, 0), -9): (0, 106)
(9, 1, 2, (0, 1, 0), -8): (0, 161)
(9, 1, 2, (0, 1, 0), -7): (0, 268)
(9, 1, 2, (0, 1, 0), -6): (1, 347)
(9, 1, 2, (0, 1, 0), -5): (0, 508)
(9, 1, 2, (0, 1, 0), -4): (2, 725)
(9, 1, 2, (0, 1, 0), -3): (10, 875)
(9, 1, 2, (0, 1, 0), -2): (44, 1102)
(9, 1, 2, (0, 1, 0), -1): (188, 1459)
(9, 1, 2, (0, 1, 0), 0): (901, 1507)
(9, 1, 2, (0, 1, 0), 1): (152, 152)
(9, 1, 2, (0, 1, 1), -16): (0, 1)
(9, 1, 2, (0, 1, 1), -15): (0, 2)
(9, 1, 2, (0, 1, 1), -14): (0, 1)
(9, 1, 2, (0, 1, 1), -13): (0, 6)
(9, 1, 2, (0, 1, 1), -12): (0, 9)
(9, 1, 2, (0, 1, 1), -11): (0, 6)
(9, 1, 2, (0, 1, 1), -10): (0, 13)
(9, 1, 2, (0, 1, 1), -9): (0, 23)
(9, 1, 2, (0, 1, 1), -8): (0, 30)
(9, 1, 2, (0, 1, 1), -7): (0, 68)
(9, 1, 2, (0, 1, 1), -6): (1, 88)
(9, 1, 2, (0, 1, 1), -5): (1, 143)
(9, 1, 2, (0, 1, 1), -4): (0, 181)
(9, 1, 2, (0, 1, 1), -3): (17, 262)
(9, 1, 2, (0, 1, 1), -2): (45, 290)
(9, 1, 2, (0, 1, 1), -1): (46, 256)
(9, 1, 2, (0, 1, 1), 0): (330, 494)
(9, 1, 2, (0, 1, 1), 1): (49, 49)
(9, 1, 2, (1, 0, 0), -20): (0, 2)
(9, 1, 2, (1, 0, 0), -19): (0, 2)
(9, 1, 2, (1, 0, 0), -18): (0, 1)
(9, 1, 2, (1, 0, 0), -17): (0, 3)
(9, 1, 2, (1, 0, 0), -16): (0, 8)
(9, 1, 2, (1, 0, 0), -15): (0, 14)
(9, 1, 2, (1, 0, 0), -14): (0, 28)
(9, 1, 2, (1, 0, 0), -13): (0, 38)
(9, 1, 2, (1, 0, 0), -12): (0, 57)
(9, 1, 2, (1, 0, 0), -11): (0, 116)
(9, 1, 2, (1, 0, 0), -10): (0, 180)
(9, 1, 2, (1, 0, 0), -9): (0, 231)
(9, 1, 2, (1, 0, 0), -8): (0, 403)
(9, 1, 2, (1, 0, 0), -7): (1, 572)
(9, 1, 2, (1, 0, 0), -6): (1, 790)
(9, 1, 2, (1, 0, 0), -5): (3, 1149)
(9, 1, 2, (1, 0, 0), -4): (8, 1619)
(9, 1, 2, (1, 0, 0), -3): (23, 2221)
(9, 1, 2, (1, 0, 0), -2): (102, 2606)
(9, 1, 2, (1, 0, 0), -1): (246, 2815)
(9, 1, 2, (1, 0, 0), 0): (1536, 2686)
(9, 1, 2, (1, 0, 0), 1): (284, 284)
(9, 1, 2, (1, 0, 1), -22): (0, 1)
(9, 1, 2, (1, 0, 1), -18): (0, 1)
(9, 1, 2, (1, 0, 1), -15): (0, 1)
(9, 1, 2, (1, 0, 1), -14): (0, 3)
(9, 1, 2, (1, 0, 1), -13): (0, 3)
(9, 1, 2, (1, 0, 1), -12): (0, 14)
(9, 1, 2, (1, 0, 1), -11): (0, 23)
(9, 1, 2, (1, 0, 1), -10): (0, 25)
(9, 1, 2, (1, 0, 1), -9): (0, 38)
(9, 1, 2, (1, 0, 1), -8): (0, 60)
(9, 1, 2, (1, 0, 1), -7): (0, 95)
(9, 1, 2, (1, 0, 1), -6): (2, 155)
(9, 1, 2, (1, 0, 1), -5): (1, 219)
(9, 1, 2, (1, 0, 1), -4): (3, 286)
(9, 1, 2, (1, 0, 1), -3): (18, 375)
(9, 1, 2, (1, 0, 1), -2): (40, 463)
(9, 1, 2, (1, 0, 1), -1): (108, 608)
(9, 1, 2, (1, 0, 1), 0): (536, 779)
(9, 1, 2, (1, 0, 1), 1): (91, 91)
(9, 1, 2, (1, 1, 0), -20): (0, 1)
(9, 1, 2, (1, 1, 0), -19): (0, 2)
(9, 1, 2, (1, 1, 0), -16): (0, 3)
(9, 1, 2, (1, 1, 0), -15): (0, 7)
(9, 1, 2, (1, 1, 0), -14): (0, 12)
(9, 1, 2, (1, 1, 0), -13): (0, 14)
(9, 1, 2, (1, 1, 0), -12): (0, 24)
(9, 1, 2, (1, 1, 0), -11): (0, 46)
(9, 1, 2, (1, 1, 0), -10): (0, 70)
(9, 1, 2, (1, 1, 0), -9): (0, 84)
(9, 1, 2, (1, 1, 0), -8): (0, 165)
(9, 1, 2, (1, 1, 0), -7): (1, 299)
(9, 1, 2, (1, 1, 0), -6): (1, 324)
(9, 1, 2, (1, 1, 0), -5): (2, 485)
(9, 1, 2, (1, 1, 0), -4): (10, 713)
(9, 1, 2, (1, 1, 0), -3): (35, 905)
(9, 1, 2, (1, 1, 0), -2): (89, 1113)
(9, 1, 2, (1, 1, 0), -1): (202, 1174)
(9, 1, 2, (1, 1, 0), 0): (1164, 1857)
(9, 1, 2, (1, 1, 0), 1): (572, 572)
(9, 1, 2, (1, 1, 1), -19): (0, 1)
(9, 1, 2, (1, 1, 1), -18): (0, 1)
(9, 1, 2, (1, 1, 1), -15): (0, 1)
(9, 1, 2, (1, 1, 1), -14): (0, 4)
(9, 1, 2, (1, 1, 1), -13): (0, 2)
(9, 1, 2, (1, 1, 1), -12): (0, 7)
(9, 1, 2, (1, 1, 1), -11): (0, 14)
(9, 1, 2, (1, 1, 1), -10): (0, 14)
(9, 1, 2, (1, 1, 1), -9): (0, 22)
(9, 1, 2, (1, 1, 1), -8): (0, 39)
(9, 1, 2, (1, 1, 1), -7): (0, 66)
(9, 1, 2, (1, 1, 1), -6): (2, 93)
(9, 1, 2, (1, 1, 1), -5): (4, 159)
(9, 1, 2, (1, 1, 1), -4): (9, 210)
(9, 1, 2, (1, 1, 1), -3): (26, 275)
(9, 1, 2, (1, 1, 1), -2): (69, 342)
(9, 1, 2, (1, 1, 1), -1): (99, 426)
(9, 1, 2, (1, 1, 1), 0): (630, 922)
(9, 1, 2, (1, 1, 1), 1): (298, 298)
(10, 0, 0, (0, 0, 0), 0): (4183, 8741)
(10, 0, 0, (0, 0, 0), 1): (8968, 9010)
(10, 0, 0, (0, 0, 0), 2): (7691, 7694)
(10, 0, 0, (0, 0, 0), 3): (6347, 6347)
(10, 0, 0, (0, 0, 0), 4): (4859, 4859)
(10, 0, 0, (0, 0, 0), 5): (3484, 3484)
(10, 0, 0, (0, 0, 0), 6): (2493, 2493)
(10, 0, 0, (0, 0, 0), 7): (1769, 1769)
(10, 0, 0, (0, 0, 0), 8): (1152, 1152)
(10, 0, 0, (0, 0, 0), 9): (738, 738)
(10, 0, 0, (0, 0, 0), 10): (517, 517)
(10, 0, 0, (0, 0, 0), 11): (311, 311)
(10, 0, 0, (0, 0, 0), 12): (196, 196)
(10, 0, 0, (0, 0, 0), 13): (115, 115)
(10, 0, 0, (0, 0, 0), 14): (86, 86)
(10, 0, 0, (0, 0, 0), 15): (33, 33)
(10, 0, 0, (0, 0, 0), 16): (30, 30)
(10, 0, 0, (0, 0, 0), 17): (11, 11)
(10, 0, 0, (0, 0, 0), 18): (8, 8)
(10, 0, 0, (0, 0, 0), 19): (6, 6)
(10, 0, 0, (0, 0, 0), 20): (1, 1)
(10, 0, 0, (0, 0, 0), 21): (2, 2)
(10, 0, 0, (0, 0, 0), 22): (3, 3)
(10, 0, 0, (0, 0, 1), 0): (50, 72)
(10, 0, 0, (0, 0, 1), 1): (16, 16)
(10, 0, 0, (0, 0, 1), 2): (2, 2)
(10, 0, 0, (0, 1, 0), 0): (327, 496)
(10, 0, 0, (0, 1, 0), 1): (46, 50)
(10, 0, 0, (0, 1, 0), 2): (11, 11)
(10, 0, 0, (0, 1, 0), 3): (8, 8)
(10, 0, 0, (0, 1, 0), 4): (4, 4)
(10, 0, 0, (0, 1, 1), 0): (38, 48)
(10, 0, 0, (0, 1, 1), 1): (19, 20)
(10, 0, 0, (0, 1, 1), 2): (11, 11)
(10, 0, 0, (0, 1, 1), 3): (3, 3)
(10, 0, 0, (0, 1, 1), 4): (1, 1)
(10, 0, 0, (0, 1, 1), 5): (2, 2)
(10, 0, 0, (1, 0, 0), 0): (1263, 2241)
(10, 0, 0, (1, 0, 0), 1): (61, 76)
(10, 0, 0, (1, 0, 0), 2): (12, 13)
(10, 0, 0, (1, 0, 0), 3): (6, 6)
(10, 0, 0, (1, 0, 0), 4): (3, 3)
(10, 0, 0, (1, 0, 1), 0): (121, 155)
(10, 0, 0, (1, 0, 1), 1): (29, 29)
(10, 0, 0, (1, 0, 1), 2): (10, 11)
(10, 0, 0, (1, 0, 1), 3): (4, 4)
(10, 0, 0, (1, 0, 1), 4): (1, 1)
(10, 0, 0, (1, 0, 1), 6): (1, 1)
(10, 0, 0, (1, 1, 0), 0): (246, 340)
(10, 0, 0, (1, 1, 0), 1): (35, 36)
(10, 0, 0, (1, 1, 0), 2): (7, 7)
(10, 0, 0, (1, 1, 0), 3): (6, 6)
(10, 0, 0, (1, 1, 0), 4): (4, 4)
(10, 0, 0, (1, 1, 0), 5): (1, 1)
(10, 0, 0, (1, 1, 1), 0): (70, 84)
(10, 0, 0, (1, 1, 1), 1): (30, 31)
(10, 0, 0, (1, 1, 1), 2): (12, 12)
(10, 0, 0, (1, 1, 1), 3): (3, 3)
(10, 0, 0, (1, 1, 1), 4): (2, 2)
(10, 0, 1, (0, 0, 0), 0): (2516, 5944)
(10, 0, 1, (0, 0, 0), 1): (238, 302)
(10, 0, 1, (0, 0, 0), 2): (111, 117)
(10, 0, 1, (0, 0, 0), 3): (45, 45)
(10, 0, 1, (0, 0, 0), 4): (21, 21)
(10, 0, 1, (0, 0, 0), 5): (4, 4)
(10, 0, 1, (0, 0, 0), 6): (7, 7)
(10, 0, 1, (0, 0, 0), 7): (1, 1)
(10, 0, 1, (0, 0, 0), 8): (1, 1)
(10, 0, 1, (0, 0, 1), 0): (173, 273)
(10, 0, 1, (0, 0, 1), 1): (60, 65)
(10, 0, 1, (0, 0, 1), 2): (25, 26)
(10, 0, 1, (0, 0, 1), 3): (16, 16)
(10, 0, 1, (0, 0, 1), 4): (5, 5)
(10, 0, 1, (0, 0, 1), 5): (2, 2)
(10, 0, 1, (0, 1, 0), 0): (726, 1329)
(10, 0, 1, (0, 1, 0), 1): (166, 191)
(10, 0, 1, (0, 1, 0), 2): (52, 57)
(10, 0, 1, (0, 1, 0), 3): (19, 19)
(10, 0, 1, (0, 1, 0), 4): (15, 15)
(10, 0, 1, (0, 1, 0), 5): (3, 3)
(10, 0, 1, (0, 1, 0), 6): (2, 2)
(10, 0, 1, (0, 1, 1), 0): (120, 187)
(10, 0, 1, (0, 1, 1), 1): (79, 88)
(10, 0, 1, (0, 1, 1), 2): (45, 46)
(10, 0, 1, (0, 1, 1), 3): (14, 14)
(10, 0, 1, (0, 1, 1), 4): (5, 5)
(10, 0, 1, (0, 1, 1), 5): (5, 5)
(10, 0, 1, (0, 1, 1), 6): (2, 2)
(10, 0, 1, (0, 1, 1), 7): (1, 1)
(10, 0, 1, (1, 0, 0), 0): (1072, 2292)
(10, 0, 1, (1, 0, 0), 1): (147, 188)
(10, 0, 1, (1, 0, 0), 2): (64, 68)
(10, 0, 1, (1, 0, 0), 3): (27, 27)
(10, 0, 1, (1, 0, 0), 4): (15, 15)
(10, 0, 1, (1, 0, 0), 5): (2, 2)
(10, 0, 1, (1, 0, 0), 6): (4, 4)
(10, 0, 1, (1, 0, 0), 7): (1, 1)
(10, 0, 1, (1, 0, 1), 0): (236, 351)
(10, 0, 1, (1, 0, 1), 1): (87, 101)
(10, 0, 1, (1, 0, 1), 2): (45, 48)
(10, 0, 1, (1, 0, 1), 3): (21, 21)
(10, 0, 1, (1, 0, 1), 4): (10, 10)
(10, 0, 1, (1, 0, 1), 5): (5, 5)
(10, 0, 1, (1, 0, 1), 6): (1, 1)
(10, 0, 1, (1, 1, 0), 0): (489, 862)
(10, 0, 1, (1, 1, 0), 1): (178, 197)
(10, 0, 1, (1, 1, 0), 2): (60, 65)
(10, 0, 1, (1, 1, 0), 3): (23, 25)
(10, 0, 1, (1, 1, 0), 4): (10, 10)
(10, 0, 1, (1, 1, 0), 5): (1, 1)
(10, 0, 1, (1, 1, 0), 7): (2, 2)
(10, 0, 1, (1, 1, 0), 8): (1, 1)
(10, 0, 1, (1, 1, 0), 10): (1, 1)
(10, 0, 1, (1, 1, 1), 0): (194, 284)
(10, 0, 1, (1, 1, 1), 1): (98, 112)
(10, 0, 1, (1, 1, 1), 2): (45, 47)
(10, 0, 1, (1, 1, 1), 3): (17, 18)
(10, 0, 1, (1, 1, 1), 4): (6, 6)
(10, 0, 1, (1, 1, 1), 5): (1, 1)
(10, 0, 1, (1, 1, 1), 8): (1, 1)
(10, 0, 1, (1, 1, 1), 10): (1, 1)
(10, 0, 1, (1, 1, 1), 11): (1, 1)
(10, 0, 2, (0, 0, 0), 0): (1616, 4213)
(10, 0, 2, (0, 0, 0), 1): (285, 361)
(10, 0, 2, (0, 0, 0), 2): (145, 156)
(10, 0, 2, (0, 0, 0), 3): (81, 82)
(10, 0, 2, (0, 0, 0), 4): (36, 38)
(10, 0, 2, (0, 0, 0), 5): (14, 14)
(10, 0, 2, (0, 0, 0), 6): (13, 13)
(10, 0, 2, (0, 0, 0), 7): (4, 4)
(10, 0, 2, (0, 0, 0), 8): (2, 2)
(10, 0, 2, (0, 0, 1), 0): (162, 363)
(10, 0, 2, (0, 0, 1), 1): (77, 91)
(10, 0, 2, (0, 0, 1), 2): (45, 48)
(10, 0, 2, (0, 0, 1), 3): (20, 21)
(10, 0, 2, (0, 0, 1), 4): (18, 18)
(10, 0, 2, (0, 0, 1), 5): (3, 3)
(10, 0, 2, (0, 0, 1), 6): (1, 1)
(10, 0, 2, (0, 0, 1), 7): (1, 1)
(10, 0, 2, (0, 1, 0), 0): (528, 1096)
(10, 0, 2, (0, 1, 0), 1): (230, 282)
(10, 0, 2, (0, 1, 0), 2): (104, 113)
(10, 0, 2, (0, 1, 0), 3): (50, 53)
(10, 0, 2, (0, 1, 0), 4): (32, 33)
(10, 0, 2, (0, 1, 0), 5): (10, 10)
(10, 0, 2, (0, 1, 0), 6): (8, 8)
(10, 0, 2, (0, 1, 0), 8): (1, 1)
(10, 0, 2, (0, 1, 1), 0): (100, 203)
(10, 0, 2, (0, 1, 1), 1): (102, 120)
(10, 0, 2, (0, 1, 1), 2): (52, 56)
(10, 0, 2, (0, 1, 1), 3): (25, 26)
(10, 0, 2, (0, 1, 1), 4): (6, 6)
(10, 0, 2, (0, 1, 1), 5): (6, 6)
(10, 0, 2, (0, 1, 1), 6): (1, 1)
(10, 0, 2, (0, 1, 1), 7): (2, 2)
(10, 0, 2, (1, 0, 0), 0): (847, 2066)
(10, 0, 2, (1, 0, 0), 1): (237, 302)
(10, 0, 2, (1, 0, 0), 2): (110, 117)
(10, 0, 2, (1, 0, 0), 3): (59, 61)
(10, 0, 2, (1, 0, 0), 4): (26, 28)
(10, 0, 2, (1, 0, 0), 5): (17, 17)
(10, 0, 2, (1, 0, 0), 6): (7, 7)
(10, 0, 2, (1, 0, 0), 7): (2, 2)
(10, 0, 2, (1, 0, 0), 8): (1, 1)
(10, 0, 2, (1, 0, 0), 9): (1, 1)
(10, 0, 2, (1, 0, 1), 0): (190, 430)
(10, 0, 2, (1, 0, 1), 1): (157, 182)
(10, 0, 2, (1, 0, 1), 2): (70, 77)
(10, 0, 2, (1, 0, 1), 3): (34, 34)
(10, 0, 2, (1, 0, 1), 4): (23, 23)
(10, 0, 2, (1, 0, 1), 5): (7, 7)
(10, 0, 2, (1, 0, 1), 8): (2, 2)
(10, 0, 2, (1, 1, 0), 0): (455, 992)
(10, 0, 2, (1, 1, 0), 1): (229, 287)
(10, 0, 2, (1, 1, 0), 2): (109, 116)
(10, 0, 2, (1, 1, 0), 3): (52, 55)
(10, 0, 2, (1, 1, 0), 4): (28, 28)
(10, 0, 2, (1, 1, 0), 5): (11, 11)
(10, 0, 2, (1, 1, 0), 6): (4, 4)
(10, 0, 2, (1, 1, 0), 7): (2, 2)
(10, 0, 2, (1, 1, 0), 9): (1, 1)
(10, 0, 2, (1, 1, 1), 0): (166, 328)
(10, 0, 2, (1, 1, 1), 1): (136, 164)
(10, 0, 2, (1, 1, 1), 2): (58, 63)
(10, 0, 2, (1, 1, 1), 3): (27, 28)
(10, 0, 2, (1, 1, 1), 4): (6, 6)
(10, 0, 2, (1, 1, 1), 5): (4, 4)
(10, 0, 2, (1, 1, 1), 6): (1, 1)
(10, 0, 2, (1, 1, 1), 7): (1, 1)
(10, 1, 0, (0, 0, 0), -11): (0, 1)
(10, 1, 0, (0, 0, 0), -9): (0, 2)
(10, 1, 0, (0, 0, 0), -8): (0, 3)
(10, 1, 0, (0, 0, 0), -7): (0, 8)
(10, 1, 0, (0, 0, 0), -6): (0, 23)
(10, 1, 0, (0, 0, 0), -5): (0, 52)
(10, 1, 0, (0, 0, 0), -4): (2, 114)
(10, 1, 0, (0, 0, 0), -3): (11, 253)
(10, 1, 0, (0, 0, 0), -2): (37, 541)
(10, 1, 0, (0, 0, 0), -1): (260, 1232)
(10, 1, 0, (0, 0, 0), 0): (4274, 6561)
(10, 1, 0, (0, 0, 0), 1): (174, 174)
(10, 1, 0, (0, 0, 0), 2): (24, 24)
(10, 1, 0, (0, 0, 0), 3): (2, 2)
(10, 1, 0, (0, 0, 0), 4): (3, 3)
(10, 1, 0, (0, 0, 1), -4): (0, 1)
(10, 1, 0, (0, 0, 1), -3): (0, 3)
(10, 1, 0, (0, 0, 1), -2): (0, 1)
(10, 1, 0, (0, 0, 1), -1): (6, 12)
(10, 1, 0, (0, 0, 1), 0): (49, 57)
(10, 1, 0, (0, 0, 1), 1): (4, 4)
(10, 1, 0, (0, 1, 0), -8): (0, 1)
(10, 1, 0, (0, 1, 0), -6): (0, 1)
(10, 1, 0, (0, 1, 0), -5): (0, 3)
(10, 1, 0, (0, 1, 0), -4): (0, 12)
(10, 1, 0, (0, 1, 0), -3): (1, 24)
(10, 1, 0, (0, 1, 0), -2): (7, 23)
(10, 1, 0, (0, 1, 0), -1): (31, 60)
(10, 1, 0, (0, 1, 0), 0): (293, 358)
(10, 1, 0, (0, 1, 0), 1): (16, 16)
(10, 1, 0, (0, 1, 1), -4): (0, 3)
(10, 1, 0, (0, 1, 1), -3): (0, 1)
(10, 1, 0, (0, 1, 1), -2): (2, 4)
(10, 1, 0, (0, 1, 1), -1): (4, 9)
(10, 1, 0, (0, 1, 1), 0): (48, 51)
(10, 1, 0, (0, 1, 1), 1): (11, 11)
(10, 1, 0, (1, 0, 0), -11): (0, 1)
(10, 1, 0, (1, 0, 0), -8): (0, 1)
(10, 1, 0, (1, 0, 0), -7): (0, 2)
(10, 1, 0, (1, 0, 0), -6): (0, 4)
(10, 1, 0, (1, 0, 0), -5): (0, 8)
(10, 1, 0, (1, 0, 0), -4): (2, 26)
(10, 1, 0, (1, 0, 0), -3): (8, 62)
(10, 1, 0, (1, 0, 0), -2): (19, 132)
(10, 1, 0, (1, 0, 0), -1): (119, 339)
(10, 1, 0, (1, 0, 0), 0): (1322, 1807)
(10, 1, 0, (1, 0, 0), 1): (24, 24)
(10, 1, 0, (1, 0, 1), -5): (0, 1)
(10, 1, 0, (1, 0, 1), -4): (0, 3)
(10, 1, 0, (1, 0, 1), -3): (1, 4)
(10, 1, 0, (1, 0, 1), -2): (5, 8)
(10, 1, 0, (1, 0, 1), -1): (9, 18)
(10, 1, 0, (1, 0, 1), 0): (98, 118)
(10, 1, 0, (1, 0, 1), 1): (5, 5)
(10, 1, 0, (1, 1, 0), -11): (0, 1)
(10, 1, 0, (1, 1, 0), -8): (0, 1)
(10, 1, 0, (1, 1, 0), -7): (0, 1)
(10, 1, 0, (1, 1, 0), -6): (0, 2)
(10, 1, 0, (1, 1, 0), -5): (0, 1)
(10, 1, 0, (1, 1, 0), -4): (1, 6)
(10, 1, 0, (1, 1, 0), -3): (3, 20)
(10, 1, 0, (1, 1, 0), -2): (10, 35)
(10, 1, 0, (1, 1, 0), -1): (34, 58)
(10, 1, 0, (1, 1, 0), 0): (290, 336)
(10, 1, 0, (1, 1, 0), 1): (45, 45)
(10, 1, 0, (1, 1, 1), -6): (0, 1)
(10, 1, 0, (1, 1, 1), -5): (0, 1)
(10, 1, 0, (1, 1, 1), -3): (0, 3)
(10, 1, 0, (1, 1, 1), -2): (3, 8)
(10, 1, 0, (1, 1, 1), -1): (11, 17)
(10, 1, 0, (1, 1, 1), 0): (153, 165)
(10, 1, 0, (1, 1, 1), 1): (59, 59)
(10, 1, 1, (0, 0, 0), -9): (0, 2)
(10, 1, 1, (0, 0, 0), -8): (0, 1)
(10, 1, 1, (0, 0, 0), -7): (0, 6)
(10, 1, 1, (0, 0, 0), -6): (0, 17)
(10, 1, 1, (0, 0, 0), -5): (0, 42)
(10, 1, 1, (0, 0, 0), -4): (0, 77)
(10, 1, 1, (0, 0, 0), -3): (3, 169)
(10, 1, 1, (0, 0, 0), -2): (13, 394)
(10, 1, 1, (0, 0, 0), -1): (102, 842)
(10, 1, 1, (0, 0, 0), 0): (2606, 4399)
(10, 1, 1, (0, 0, 0), 1): (138, 138)
(10, 1, 1, (0, 0, 0), 2): (50, 50)
(10, 1, 1, (0, 0, 0), 3): (19, 19)
(10, 1, 1, (0, 0, 0), 4): (15, 15)
(10, 1, 1, (0, 0, 1), -4): (0, 5)
(10, 1, 1, (0, 0, 1), -3): (0, 12)
(10, 1, 1, (0, 0, 1), -2): (2, 12)
(10, 1, 1, (0, 0, 1), -1): (13, 35)
(10, 1, 1, (0, 0, 1), 0): (152, 187)
(10, 1, 1, (0, 0, 1), 1): (14, 14)
(10, 1, 1, (0, 1, 0), -8): (0, 1)
(10, 1, 1, (0, 1, 0), -7): (0, 1)
(10, 1, 1, (0, 1, 0), -6): (0, 1)
(10, 1, 1, (0, 1, 0), -5): (0, 5)
(10, 1, 1, (0, 1, 0), -4): (0, 6)
(10, 1, 1, (0, 1, 0), -3): (3, 32)
(10, 1, 1, (0, 1, 0), -2): (3, 38)
(10, 1, 1, (0, 1, 0), -1): (56, 192)
(10, 1, 1, (0, 1, 0), 0): (818, 1129)
(10, 1, 1, (0, 1, 0), 1): (53, 53)
(10, 1, 1, (0, 1, 1), -8): (0, 1)
(10, 1, 1, (0, 1, 1), -6): (0, 1)
(10, 1, 1, (0, 1, 1), -5): (0, 1)
(10, 1, 1, (0, 1, 1), -4): (0, 5)
(10, 1, 1, (0, 1, 1), -3): (0, 4)
(10, 1, 1, (0, 1, 1), -2): (2, 12)
(10, 1, 1, (0, 1, 1), -1): (29, 44)
(10, 1, 1, (0, 1, 1), 0): (168, 200)
(10, 1, 1, (0, 1, 1), 1): (27, 27)
(10, 1, 1, (1, 0, 0), -8): (0, 1)
(10, 1, 1, (1, 0, 0), -7): (0, 3)
(10, 1, 1, (1, 0, 0), -6): (0, 7)
(10, 1, 1, (1, 0, 0), -5): (0, 16)
(10, 1, 1, (1, 0, 0), -4): (1, 33)
(10, 1, 1, (1, 0, 0), -3): (4, 65)
(10, 1, 1, (1, 0, 0), -2): (6, 155)
(10, 1, 1, (1, 0, 0), -1): (77, 321)
(10, 1, 1, (1, 0, 0), 0): (1140, 1732)
(10, 1, 1, (1, 0, 0), 1): (103, 103)
(10, 1, 1, (1, 0, 1), -8): (0, 1)
(10, 1, 1, (1, 0, 1), -6): (0, 1)
(10, 1, 1, (1, 0, 1), -4): (1, 3)
(10, 1, 1, (1, 0, 1), -3): (2, 12)
(10, 1, 1, (1, 0, 1), -2): (6, 15)
(10, 1, 1, (1, 0, 1), -1): (24, 48)
(10, 1, 1, (1, 0, 1), 0): (261, 319)
(10, 1, 1, (1, 0, 1), 1): (31, 31)
(10, 1, 1, (1, 1, 0), -11): (0, 1)
(10, 1, 1, (1, 1, 0), -8): (0, 1)
(10, 1, 1, (1, 1, 0), -7): (0, 1)
(10, 1, 1, (1, 1, 0), -6): (0, 2)
(10, 1, 1, (1, 1, 0), -5): (0, 6)
(10, 1, 1, (1, 1, 0), -4): (0, 12)
(10, 1, 1, (1, 1, 0), -3): (7, 25)
(10, 1, 1, (1, 1, 0), -2): (7, 60)
(10, 1, 1, (1, 1, 0), -1): (48, 118)
(10, 1, 1, (1, 1, 0), 0): (653, 903)
(10, 1, 1, (1, 1, 0), 1): (204, 204)
(10, 1, 1, (1, 1, 1), -5): (0, 3)
(10, 1, 1, (1, 1, 1), -4): (0, 2)
(10, 1, 1, (1, 1, 1), -3): (1, 8)
(10, 1, 1, (1, 1, 1), -2): (2, 14)
(10, 1, 1, (1, 1, 1), -1): (32, 52)
(10, 1, 1, (1, 1, 1), 0): (419, 500)
(10, 1, 1, (1, 1, 1), 1): (201, 201)
(10, 1, 2, (0, 0, 0), -9): (0, 2)
(10, 1, 2, (0, 0, 0), -8): (0, 1)
(10, 1, 2, (0, 0, 0), -7): (0, 3)
(10, 1, 2, (0, 0, 0), -6): (0, 13)
(10, 1, 2, (0, 0, 0), -5): (0, 27)
(10, 1, 2, (0, 0, 0), -4): (0, 58)
(10, 1, 2, (0, 0, 0), -3): (0, 131)
(10, 1, 2, (0, 0, 0), -2): (7, 304)
(10, 1, 2, (0, 0, 0), -1): (33, 627)
(10, 1, 2, (0, 0, 0), 0): (1683, 3090)
(10, 1, 2, (0, 0, 0), 1): (80, 80)
(10, 1, 2, (0, 0, 0), 2): (45, 45)
(10, 1, 2, (0, 0, 0), 3): (24, 24)
(10, 1, 2, (0, 0, 0), 4): (11, 11)
(10, 1, 2, (0, 0, 1), -5): (0, 2)
(10, 1, 2, (0, 0, 1), -4): (0, 4)
(10, 1, 2, (0, 0, 1), -3): (0, 14)
(10, 1, 2, (0, 0, 1), -2): (0, 17)
(10, 1, 2, (0, 0, 1), -1): (8, 51)
(10, 1, 2, (0, 0, 1), 0): (160, 235)
(10, 1, 2, (0, 0, 1), 1): (5, 5)
(10, 1, 2, (0, 1, 0), -8): (0, 1)
(10, 1, 2, (0, 1, 0), -7): (0, 1)
(10, 1, 2, (0, 1, 0), -5): (0, 4)
(10, 1, 2, (0, 1, 0), -4): (0, 13)
(10, 1, 2, (0, 1, 0), -3): (0, 29)
(10, 1, 2, (0, 1, 0), -2): (2, 65)
(10, 1, 2, (0, 1, 0), -1): (31, 164)
(10, 1, 2, (0, 1, 0), 0): (472, 791)
(10, 1, 2, (0, 1, 0), 1): (55, 55)
(10, 1, 2, (0, 1, 1), -8): (0, 1)
(10, 1, 2, (0, 1, 1), -7): (0, 1)
(10, 1, 2, (0, 1, 1), -6): (0, 1)
(10, 1, 2, (0, 1, 1), -5): (0, 2)
(10, 1, 2, (0, 1, 1), -4): (0, 5)
(10, 1, 2, (0, 1, 1), -3): (0, 6)
(10, 1, 2, (0, 1, 1), -2): (0, 14)
(10, 1, 2, (0, 1, 1), -1): (7, 25)
(10, 1, 2, (0, 1, 1), 0): (149, 229)
(10, 1, 2, (0, 1, 1), 1): (19, 19)
(10, 1, 2, (1, 0, 0), -7): (0, 4)
(10, 1, 2, (1, 0, 0), -6): (0, 8)
(10, 1, 2, (1, 0, 0), -5): (0, 16)
(10, 1, 2, (1, 0, 0), -4): (0, 30)
(10, 1, 2, (1, 0, 0), -3): (0, 67)
(10, 1, 2, (1, 0, 0), -2): (7, 153)
(10, 1, 2, (1, 0, 0), -1): (34, 316)
(10, 1, 2, (1, 0, 0), 0): (899, 1516)
(10, 1, 2, (1, 0, 0), 1): (123, 123)
(10, 1, 2, (1, 0, 1), -7): (0, 1)
(10, 1, 2, (1, 0, 1), -6): (0, 2)
(10, 1, 2, (1, 0, 1), -3): (1, 12)
(10, 1, 2, (1, 0, 1), -2): (2, 32)
(10, 1, 2, (1, 0, 1), -1): (12, 57)
(10, 1, 2, (1, 0, 1), 0): (248, 358)
(10, 1, 2, (1, 0, 1), 1): (34, 34)
(10, 1, 2, (1, 1, 0), -11): (0, 1)
(10, 1, 2, (1, 1, 0), -10): (0, 1)
(10, 1, 2, (1, 1, 0), -8): (0, 1)
(10, 1, 2, (1, 1, 0), -7): (0, 2)
(10, 1, 2, (1, 1, 0), -6): (0, 2)
(10, 1, 2, (1, 1, 0), -5): (0, 6)
(10, 1, 2, (1, 1, 0), -4): (0, 15)
(10, 1, 2, (1, 1, 0), -3): (1, 31)
(10, 1, 2, (1, 1, 0), -2): (3, 65)
(10, 1, 2, (1, 1, 0), -1): (28, 133)
(10, 1, 2, (1, 1, 0), 0): (595, 967)
(10, 1, 2, (1, 1, 0), 1): (250, 250)
(10, 1, 2, (1, 1, 1), -8): (0, 1)
(10, 1, 2, (1, 1, 1), -7): (0, 1)
(10, 1, 2, (1, 1, 1), -5): (0, 4)
(10, 1, 2, (1, 1, 1), -4): (0, 6)
(10, 1, 2, (1, 1, 1), -3): (1, 8)
(10, 1, 2, (1, 1, 1), -2): (3, 26)
(10, 1, 2, (1, 1, 1), -1): (9, 52)
(10, 1, 2, (1, 1, 1), 0): (326, 476)
(10, 1, 2, (1, 1, 1), 1): (151, 151)
(11, 0, 0, (0, 0, 0), 0): (2359, 4898)
(11, 0, 0, (0, 0, 0), 1): (1098, 1109)
(11, 0, 0, (0, 0, 0), 2): (488, 488)
(11, 0, 0, (0, 0, 0), 3): (210, 210)
(11, 0, 0, (0, 0, 0), 4): (88, 89)
(11, 0, 0, (0, 0, 0), 5): (41, 41)
(11, 0, 0, (0, 0, 0), 6): (21, 21)
(11, 0, 0, (0, 0, 0), 7): (6, 6)
(11, 0, 0, (0, 0, 0), 8): (3, 3)
(11, 0, 0, (0, 0, 0), 9): (1, 1)
(11, 0, 0, (0, 0, 0), 10): (1, 1)
(11, 0, 0, (0, 0, 1), 0): (30, 41)
(11, 0, 0, (0, 0, 1), 1): (8, 8)
(11, 0, 0, (0, 0, 1), 2): (1, 1)
(11, 0, 0, (0, 0, 1), 3): (2, 2)
(11, 0, 0, (0, 0, 1), 4): (1, 1)
(11, 0, 0, (0, 1, 0), 0): (195, 277)
(11, 0, 0, (0, 1, 0), 1): (23, 27)
(11, 0, 0, (0, 1, 0), 2): (6, 8)
(11, 0, 0, (0, 1, 0), 3): (1, 1)
(11, 0, 0, (0, 1, 1), 0): (24, 31)
(11, 0, 0, (0, 1, 1), 1): (16, 17)
(11, 0, 0, (0, 1, 1), 2): (4, 4)
(11, 0, 0, (0, 1, 1), 3): (3, 4)
(11, 0, 0, (0, 1, 1), 4): (1, 1)
(11, 0, 0, (1, 0, 0), 0): (699, 1286)
(11, 0, 0, (1, 0, 0), 1): (34, 39)
(11, 0, 0, (1, 0, 0), 2): (6, 6)
(11, 0, 0, (1, 0, 0), 3): (3, 3)
(11, 0, 0, (1, 0, 0), 4): (3, 3)
(11, 0, 0, (1, 0, 1), 0): (58, 73)
(11, 0, 0, (1, 0, 1), 1): (14, 15)
(11, 0, 0, (1, 0, 1), 2): (4, 4)
(11, 0, 0, (1, 0, 1), 3): (1, 1)
(11, 0, 0, (1, 1, 0), 0): (133, 195)
(11, 0, 0, (1, 1, 0), 1): (20, 23)
(11, 0, 0, (1, 1, 0), 2): (2, 3)
(11, 0, 0, (1, 1, 1), 0): (39, 48)
(11, 0, 0, (1, 1, 1), 1): (23, 24)
(11, 0, 0, (1, 1, 1), 3): (1, 1)
(11, 0, 1, (0, 0, 0), 0): (1433, 3335)
(11, 0, 1, (0, 0, 0), 1): (128, 141)
(11, 0, 1, (0, 0, 0), 2): (59, 62)
(11, 0, 1, (0, 0, 0), 3): (26, 26)
(11, 0, 1, (0, 0, 0), 4): (10, 11)
(11, 0, 1, (0, 0, 0), 5): (6, 6)
(11, 0, 1, (0, 0, 0), 7): (1, 1)
(11, 0, 1, (0, 0, 1), 0): (114, 166)
(11, 0, 1, (0, 0, 1), 1): (33, 34)
(11, 0, 1, (0, 0, 1), 2): (15, 17)
(11, 0, 1, (0, 0, 1), 3): (6, 6)
(11, 0, 1, (0, 0, 1), 4): (3, 3)
(11, 0, 1, (0, 0, 1), 5): (4, 4)
(11, 0, 1, (0, 0, 1), 6): (1, 1)
(11, 0, 1, (0, 1, 0), 0): (422, 773)
(11, 0, 1, (0, 1, 0), 1): (96, 114)
(11, 0, 1, (0, 1, 0), 2): (30, 33)
(11, 0, 1, (0, 1, 0), 3): (12, 13)
(11, 0, 1, (0, 1, 0), 4): (3, 3)
(11, 0, 1, (0, 1, 0), 5): (1, 1)
(11, 0, 1, (0, 1, 0), 7): (1, 1)
(11, 0, 1, (0, 1, 1), 0): (93, 136)
(11, 0, 1, (0, 1, 1), 1): (54, 56)
(11, 0, 1, (0, 1, 1), 2): (25, 25)
(11, 0, 1, (0, 1, 1), 3): (6, 7)
(11, 0, 1, (0, 1, 1), 4): (7, 7)
(11, 0, 1, (0, 1, 1), 5): (1, 1)
(11, 0, 1, (0, 1, 1), 7): (1, 1)
(11, 0, 1, (1, 0, 0), 0): (594, 1252)
(11, 0, 1, (1, 0, 0), 1): (92, 108)
(11, 0, 1, (1, 0, 0), 2): (29, 33)
(11, 0, 1, (1, 0, 0), 3): (16, 16)
(11, 0, 1, (1, 0, 0), 4): (6, 6)
(11, 0, 1, (1, 0, 0), 5): (3, 3)
(11, 0, 1, (1, 0, 0), 6): (3, 3)
(11, 0, 1, (1, 0, 0), 7): (1, 1)
(11, 0, 1, (1, 0, 1), 0): (131, 189)
(11, 0, 1, (1, 0, 1), 1): (47, 55)
(11, 0, 1, (1, 0, 1), 2): (28, 28)
(11, 0, 1, (1, 0, 1), 3): (12, 12)
(11, 0, 1, (1, 0, 1), 4): (2, 2)
(11, 0, 1, (1, 0, 1), 5): (2, 2)
(11, 0, 1, (1, 0, 1), 6): (2, 2)
(11, 0, 1, (1, 1, 0), 0): (277, 474)
(11, 0, 1, (1, 1, 0), 1): (100, 112)
(11, 0, 1, (1, 1, 0), 2): (33, 36)
(11, 0, 1, (1, 1, 0), 3): (14, 14)
(11, 0, 1, (1, 1, 0), 4): (8, 8)
(11, 0, 1, (1, 1, 0), 5): (2, 2)
(11, 0, 1, (1, 1, 0), 6): (1, 1)
(11, 0, 1, (1, 1, 1), 0): (124, 170)
(11, 0, 1, (1, 1, 1), 1): (84, 89)
(11, 0, 1, (1, 1, 1), 2): (29, 29)
(11, 0, 1, (1, 1, 1), 3): (8, 9)
(11, 0, 1, (1, 1, 1), 4): (6, 6)
(11, 0, 1, (1, 1, 1), 5): (4, 4)
(11, 0, 2, (0, 0, 0), 0): (926, 2406)
(11, 0, 2, (0, 0, 0), 1): (158, 181)
(11, 0, 2, (0, 0, 0), 2): (88, 90)
(11, 0, 2, (0, 0, 0), 3): (44, 47)
(11, 0, 2, (0, 0, 0), 4): (25, 26)
(11, 0, 2, (0, 0, 0), 5): (11, 12)
(11, 0, 2, (0, 0, 0), 6): (5, 5)
(11, 0, 2, (0, 0, 0), 7): (1, 1)
(11, 0, 2, (0, 0, 0), 8): (2, 2)
(11, 0, 2, (0, 0, 1), 0): (92, 207)
(11, 0, 2, (0, 0, 1), 1): (60, 66)
(11, 0, 2, (0, 0, 1), 2): (28, 31)
(11, 0, 2, (0, 0, 1), 3): (15, 15)
(11, 0, 2, (0, 0, 1), 4): (9, 9)
(11, 0, 2, (0, 0, 1), 5): (5, 5)
(11, 0, 2, (0, 0, 1), 6): (2, 2)
(11, 0, 2, (0, 0, 1), 7): (1, 1)
(11, 0, 2, (0, 1, 0), 0): (255, 581)
(11, 0, 2, (0, 1, 0), 1): (112, 130)
(11, 0, 2, (0, 1, 0), 2): (71, 79)
(11, 0, 2, (0, 1, 0), 3): (31, 34)
(11, 0, 2, (0, 1, 0), 4): (14, 14)
(11, 0, 2, (0, 1, 0), 5): (5, 5)
(11, 0, 2, (0, 1, 0), 6): (1, 1)
(11, 0, 2, (0, 1, 0), 7): (2, 2)
(11, 0, 2, (0, 1, 0), 8): (2, 2)
(11, 0, 2, (0, 1, 1), 0): (50, 96)
(11, 0, 2, (0, 1, 1), 1): (58, 67)
(11, 0, 2, (0, 1, 1), 2): (26, 27)
(11, 0, 2, (0, 1, 1), 3): (14, 15)
(11, 0, 2, (0, 1, 1), 4): (5, 5)
(11, 0, 2, (0, 1, 1), 5): (1, 1)
(11, 0, 2, (0, 1, 1), 6): (1, 1)
(11, 0, 2, (0, 1, 1), 7): (2, 2)
(11, 0, 2, (1, 0, 0), 0): (472, 1142)
(11, 0, 2, (1, 0, 0), 1): (124, 158)
(11, 0, 2, (1, 0, 0), 2): (60, 63)
(11, 0, 2, (1, 0, 0), 3): (34, 36)
(11, 0, 2, (1, 0, 0), 4): (19, 20)
(11, 0, 2, (1, 0, 0), 5): (11, 11)
(11, 0, 2, (1, 0, 0), 6): (8, 8)
(11, 0, 2, (1, 0, 0), 7): (2, 2)
(11, 0, 2, (1, 0, 0), 9): (1, 1)
(11, 0, 2, (1, 0, 1), 0): (117, 240)
(11, 0, 2, (1, 0, 1), 1): (86, 98)
(11, 0, 2, (1, 0, 1), 2): (52, 53)
(11, 0, 2, (1, 0, 1), 3): (29, 29)
(11, 0, 2, (1, 0, 1), 4): (9, 9)
(11, 0, 2, (1, 0, 1), 5): (8, 8)
(11, 0, 2, (1, 0, 1), 6): (3, 3)
(11, 0, 2, (1, 0, 1), 7): (2, 2)
(11, 0, 2, (1, 1, 0), 0): (266, 581)
(11, 0, 2, (1, 1, 0), 1): (128, 156)
(11, 0, 2, (1, 1, 0), 2): (68, 76)
(11, 0, 2, (1, 1, 0), 3): (32, 33)
(11, 0, 2, (1, 1, 0), 4): (14, 14)
(11, 0, 2, (1, 1, 0), 5): (7, 7)
(11, 0, 2, (1, 1, 0), 6): (4, 4)
(11, 0, 2, (1, 1, 0), 7): (2, 2)
(11, 0, 2, (1, 1, 0), 8): (1, 1)
(11, 0, 2, (1, 1, 1), 0): (103, 207)
(11, 0, 2, (1, 1, 1), 1): (72, 88)
(11, 0, 2, (1, 1, 1), 2): (41, 43)
(11, 0, 2, (1, 1, 1), 3): (9, 10)
(11, 0, 2, (1, 1, 1), 4): (7, 7)
(11, 0, 2, (1, 1, 1), 5): (4, 4)
(11, 0, 2, (1, 1, 1), 7): (1, 1)
(11, 1, 0, (0, 0, 0), -9): (0, 1)
(11, 1, 0, (0, 0, 0), -8): (0, 3)
(11, 1, 0, (0, 0, 0), -7): (0, 6)
(11, 1, 0, (0, 0, 0), -6): (0, 19)
(11, 1, 0, (0, 0, 0), -5): (1, 32)
(11, 1, 0, (0, 0, 0), -4): (1, 64)
(11, 1, 0, (0, 0, 0), -3): (8, 141)
(11, 1, 0, (0, 0, 0), -2): (20, 318)
(11, 1, 0, (0, 0, 0), -1): (115, 670)
(11, 1, 0, (0, 0, 0), 0): (2404, 3667)
(11, 1, 0, (0, 0, 0), 1): (83, 83)
(11, 1, 0, (0, 0, 0), 2): (12, 12)
(11, 1, 0, (0, 0, 0), 3): (4, 4)
(11, 1, 0, (0, 0, 1), -5): (0, 1)
(11, 1, 0, (0, 0, 1), -3): (0, 2)
(11, 1, 0, (0, 0, 1), -2): (0, 3)
(11, 1, 0, (0, 0, 1), -1): (1, 2)
(11, 1, 0, (0, 0, 1), 0): (41, 46)
(11, 1, 0, (0, 0, 1), 1): (3, 3)
(11, 1, 0, (0, 1, 0), -6): (0, 2)
(11, 1, 0, (0, 1, 0), -5): (0, 1)
(11, 1, 0, (0, 1, 0), -4): (0, 5)
(11, 1, 0, (0, 1, 0), -3): (2, 7)
(11, 1, 0, (0, 1, 0), -2): (2, 20)
(11, 1, 0, (0, 1, 0), -1): (15, 41)
(11, 1, 0, (0, 1, 0), 0): (184, 219)
(11, 1, 0, (0, 1, 0), 1): (6, 6)
(11, 1, 0, (0, 1, 1), -3): (1, 2)
(11, 1, 0, (0, 1, 1), -2): (2, 10)
(11, 1, 0, (0, 1, 1), -1): (2, 2)
(11, 1, 0, (0, 1, 1), 0): (31, 33)
(11, 1, 0, (0, 1, 1), 1): (1, 1)
(11, 1, 0, (1, 0, 0), -9): (0, 1)
(11, 1, 0, (1, 0, 0), -8): (0, 2)
(11, 1, 0, (1, 0, 0), -7): (0, 1)
(11, 1, 0, (1, 0, 0), -6): (0, 4)
(11, 1, 0, (1, 0, 0), -5): (1, 10)
(11, 1, 0, (1, 0, 0), -4): (1, 25)
(11, 1, 0, (1, 0, 0), -3): (5, 48)
(11, 1, 0, (1, 0, 0), -2): (13, 100)
(11, 1, 0, (1, 0, 0), -1): (56, 192)
(11, 1, 0, (1, 0, 0), 0): (743, 1052)
(11, 1, 0, (1, 0, 0), 1): (13, 13)
(11, 1, 0, (1, 0, 1), -9): (0, 1)
(11, 1, 0, (1, 0, 1), -4): (0, 1)
(11, 1, 0, (1, 0, 1), -3): (0, 1)
(11, 1, 0, (1, 0, 1), -2): (0, 7)
(11, 1, 0, (1, 0, 1), -1): (9, 13)
(11, 1, 0, (1, 0, 1), 0): (79, 89)
(11, 1, 0, (1, 0, 1), 1): (1, 1)
(11, 1, 0, (1, 1, 0), -7): (0, 1)
(11, 1, 0, (1, 1, 0), -6): (0, 1)
(11, 1, 0, (1, 1, 0), -5): (1, 3)
(11, 1, 0, (1, 1, 0), -4): (1, 11)
(11, 1, 0, (1, 1, 0), -3): (3, 12)
(11, 1, 0, (1, 1, 0), -2): (8, 32)
(11, 1, 0, (1, 1, 0), -1): (13, 23)
(11, 1, 0, (1, 1, 0), 0): (178, 218)
(11, 1, 0, (1, 1, 0), 1): (26, 26)
(11, 1, 0, (1, 1, 1), -7): (0, 1)
(11, 1, 0, (1, 1, 1), -5): (1, 2)
(11, 1, 0, (1, 1, 1), -4): (0, 2)
(11, 1, 0, (1, 1, 1), -3): (0, 1)
(11, 1, 0, (1, 1, 1), -2): (2, 4)
(11, 1, 0, (1, 1, 1), -1): (6, 8)
(11, 1, 0, (1, 1, 1), 0): (106, 115)
(11, 1, 0, (1, 1, 1), 1): (47, 47)
(11, 1, 1, (0, 0, 0), -8): (0, 1)
(11, 1, 1, (0, 0, 0), -7): (0, 5)
(11, 1, 1, (0, 0, 0), -6): (0, 13)
(11, 1, 1, (0, 0, 0), -5): (0, 22)
(11, 1, 1, (0, 0, 0), -4): (0, 37)
(11, 1, 1, (0, 0, 0), -3): (1, 87)
(11, 1, 1, (0, 0, 0), -2): (6, 197)
(11, 1, 1, (0, 0, 0), -1): (42, 452)
(11, 1, 1, (0, 0, 0), 0): (1454, 2398)
(11, 1, 1, (0, 0, 0), 1): (66, 66)
(11, 1, 1, (0, 0, 0), 2): (32, 32)
(11, 1, 1, (0, 0, 0), 3): (10, 10)
(11, 1, 1, (0, 0, 0), 4): (5, 5)
(11, 1, 1, (0, 0, 1), -7): (0, 1)
(11, 1, 1, (0, 0, 1), -4): (0, 1)
(11, 1, 1, (0, 0, 1), -3): (0, 6)
(11, 1, 1, (0, 0, 1), -2): (1, 14)
(11, 1, 1, (0, 0, 1), -1): (11, 22)
(11, 1, 1, (0, 0, 1), 0): (77, 93)
(11, 1, 1, (0, 0, 1), 1): (7, 7)
(11, 1, 1, (0, 1, 0), -8): (0, 1)
(11, 1, 1, (0, 1, 0), -7): (0, 1)
(11, 1, 1, (0, 1, 0), -6): (0, 3)
(11, 1, 1, (0, 1, 0), -5): (0, 2)
(11, 1, 1, (0, 1, 0), -4): (0, 5)
(11, 1, 1, (0, 1, 0), -3): (0, 14)
(11, 1, 1, (0, 1, 0), -2): (2, 35)
(11, 1, 1, (0, 1, 0), -1): (21, 122)
(11, 1, 1, (0, 1, 0), 0): (460, 657)
(11, 1, 1, (0, 1, 0), 1): (32, 32)
(11, 1, 1, (0, 1, 1), -8): (0, 1)
(11, 1, 1, (0, 1, 1), -6): (0, 2)
(11, 1, 1, (0, 1, 1), -4): (0, 1)
(11, 1, 1, (0, 1, 1), -3): (0, 3)
(11, 1, 1, (0, 1, 1), -2): (4, 23)
(11, 1, 1, (0, 1, 1), -1): (10, 18)
(11, 1, 1, (0, 1, 1), 0): (96, 121)
(11, 1, 1, (0, 1, 1), 1): (16, 16)
(11, 1, 1, (1, 0, 0), -8): (0, 3)
(11, 1, 1, (1, 0, 0), -6): (0, 3)
(11, 1, 1, (1, 0, 0), -5): (0, 10)
(11, 1, 1, (1, 0, 0), -4): (0, 21)
(11, 1, 1, (1, 0, 0), -3): (5, 49)
(11, 1, 1, (1, 0, 0), -2): (5, 84)
(11, 1, 1, (1, 0, 0), -1): (31, 181)
(11, 1, 1, (1, 0, 0), 0): (641, 1002)
(11, 1, 1, (1, 0, 0), 1): (60, 60)
(11, 1, 1, (1, 0, 1), -8): (0, 1)
(11, 1, 1, (1, 0, 1), -5): (0, 1)
(11, 1, 1, (1, 0, 1), -4): (0, 3)
(11, 1, 1, (1, 0, 1), -3): (1, 6)
(11, 1, 1, (1, 0, 1), -2): (2, 12)
(11, 1, 1, (1, 0, 1), -1): (11, 21)
(11, 1, 1, (1, 0, 1), 0): (148, 170)
(11, 1, 1, (1, 0, 1), 1): (18, 18)
(11, 1, 1, (1, 1, 0), -7): (0, 1)
(11, 1, 1, (1, 1, 0), -6): (0, 1)
(11, 1, 1, (1, 1, 0), -5): (0, 7)
(11, 1, 1, (1, 1, 0), -4): (0, 13)
(11, 1, 1, (1, 1, 0), -3): (4, 17)
(11, 1, 1, (1, 1, 0), -2): (4, 38)
(11, 1, 1, (1, 1, 0), -1): (19, 49)
(11, 1, 1, (1, 1, 0), 0): (377, 529)
(11, 1, 1, (1, 1, 0), 1): (120, 120)
(11, 1, 1, (1, 1, 1), -6): (0, 1)
(11, 1, 1, (1, 1, 1), -5): (0, 2)
(11, 1, 1, (1, 1, 1), -4): (0, 2)
(11, 1, 1, (1, 1, 1), -3): (3, 4)
(11, 1, 1, (1, 1, 1), -2): (1, 10)
(11, 1, 1, (1, 1, 1), -1): (12, 19)
(11, 1, 1, (1, 1, 1), 0): (220, 263)
(11, 1, 1, (1, 1, 1), 1): (101, 101)
(11, 1, 2, (0, 0, 0), -7): (0, 5)
(11, 1, 2, (0, 0, 0), -6): (0, 12)
(11, 1, 2, (0, 0, 0), -5): (0, 17)
(11, 1, 2, (0, 0, 0), -4): (0, 25)
(11, 1, 2, (0, 0, 0), -3): (0, 66)
(11, 1, 2, (0, 0, 0), -2): (4, 158)
(11, 1, 2, (0, 0, 0), -1): (9, 329)
(11, 1, 2, (0, 0, 0), 0): (936, 1650)
(11, 1, 2, (0, 0, 0), 1): (39, 39)
(11, 1, 2, (0, 0, 0), 2): (15, 15)
(11, 1, 2, (0, 0, 0), 3): (15, 15)
(11, 1, 2, (0, 0, 0), 4): (7, 7)
(11, 1, 2, (0, 0, 1), -7): (0, 2)
(11, 1, 2, (0, 0, 1), -5): (0, 1)
(11, 1, 2, (0, 0, 1), -4): (0, 4)
(11, 1, 2, (0, 0, 1), -3): (0, 11)
(11, 1, 2, (0, 0, 1), -2): (0, 11)
(11, 1, 2, (0, 0, 1), -1): (2, 33)
(11, 1, 2, (0, 0, 1), 0): (75, 131)
(11, 1, 2, (0, 0, 1), 1): (6, 6)
(11, 1, 2, (0, 1, 0), -8): (0, 1)
(11, 1, 2, (0, 1, 0), -6): (0, 2)
(11, 1, 2, (0, 1, 0), -5): (0, 4)
(11, 1, 2, (0, 1, 0), -4): (0, 5)
(11, 1, 2, (0, 1, 0), -3): (0, 17)
(11, 1, 2, (0, 1, 0), -2): (1, 31)
(11, 1, 2, (0, 1, 0), -1): (5, 100)
(11, 1, 2, (0, 1, 0), 0): (295, 460)
(11, 1, 2, (0, 1, 0), 1): (29, 29)
(11, 1, 2, (0, 1, 1), -6): (0, 1)
(11, 1, 2, (0, 1, 1), -4): (0, 1)
(11, 1, 2, (0, 1, 1), -3): (0, 4)
(11, 1, 2, (0, 1, 1), -2): (2, 9)
(11, 1, 2, (0, 1, 1), -1): (4, 16)
(11, 1, 2, (0, 1, 1), 0): (87, 138)
(11, 1, 2, (0, 1, 1), 1): (11, 11)
(11, 1, 2, (1, 0, 0), -7): (0, 2)
(11, 1, 2, (1, 0, 0), -6): (0, 3)
(11, 1, 2, (1, 0, 0), -5): (0, 7)
(11, 1, 2, (1, 0, 0), -4): (0, 17)
(11, 1, 2, (1, 0, 0), -3): (0, 43)
(11, 1, 2, (1, 0, 0), -2): (4, 86)
(11, 1, 2, (1, 0, 0), -1): (12, 194)
(11, 1, 2, (1, 0, 0), 0): (502, 874)
(11, 1, 2, (1, 0, 0), 1): (75, 75)
(11, 1, 2, (1, 0, 1), -6): (0, 1)
(11, 1, 2, (1, 0, 1), -5): (0, 1)
(11, 1, 2, (1, 0, 1), -4): (0, 2)
(11, 1, 2, (1, 0, 1), -3): (0, 8)
(11, 1, 2, (1, 0, 1), -2): (2, 11)
(11, 1, 2, (1, 0, 1), -1): (7, 46)
(11, 1, 2, (1, 0, 1), 0): (149, 231)
(11, 1, 2, (1, 0, 1), 1): (31, 31)
(11, 1, 2, (1, 1, 0), -7): (0, 1)
(11, 1, 2, (1, 1, 0), -6): (0, 1)
(11, 1, 2, (1, 1, 0), -5): (0, 6)
(11, 1, 2, (1, 1, 0), -4): (0, 9)
(11, 1, 2, (1, 1, 0), -3): (1, 16)
(11, 1, 2, (1, 1, 0), -2): (4, 38)
(11, 1, 2, (1, 1, 0), -1): (9, 89)
(11, 1, 2, (1, 1, 0), 0): (330, 531)
(11, 1, 2, (1, 1, 0), 1): (136, 136)
(11, 1, 2, (1, 1, 1), -7): (0, 1)
(11, 1, 2, (1, 1, 1), -5): (0, 2)
(11, 1, 2, (1, 1, 1), -4): (0, 1)
(11, 1, 2, (1, 1, 1), -3): (1, 3)
(11, 1, 2, (1, 1, 1), -2): (1, 7)
(11, 1, 2, (1, 1, 1), -1): (2, 18)
(11, 1, 2, (1, 1, 1), 0): (184, 278)
(11, 1, 2, (1, 1, 1), 1): (85, 85)
(12, 0, 0, (0, 0, 0), 0): (1317, 2744)
(12, 0, 0, (0, 0, 0), 1): (623, 628)
(12, 0, 0, (0, 0, 0), 2): (257, 258)
(12, 0, 0, (0, 0, 0), 3): (119, 119)
(12, 0, 0, (0, 0, 0), 4): (44, 44)
(12, 0, 0, (0, 0, 0), 5): (29, 29)
(12, 0, 0, (0, 0, 0), 6): (15, 15)
(12, 0, 0, (0, 0, 0), 7): (8, 8)
(12, 0, 0, (0, 0, 0), 8): (1, 1)
(12, 0, 0, (0, 0, 1), 0): (21, 26)
(12, 0, 0, (0, 0, 1), 1): (6, 6)
(12, 0, 0, (0, 0, 1), 2): (2, 2)
(12, 0, 0, (0, 0, 1), 3): (1, 1)
(12, 0, 0, (0, 0, 1), 4): (2, 2)
(12, 0, 0, (0, 1, 0), 0): (127, 180)
(12, 0, 0, (0, 1, 0), 1): (13, 16)
(12, 0, 0, (0, 1, 0), 2): (5, 5)
(12, 0, 0, (0, 1, 0), 3): (1, 1)
(12, 0, 0, (0, 1, 1), 0): (17, 23)
(12, 0, 0, (0, 1, 1), 1): (8, 8)
(12, 0, 0, (0, 1, 1), 2): (2, 2)
(12, 0, 0, (0, 1, 1), 5): (1, 1)
(12, 0, 0, (1, 0, 0), 0): (430, 779)
(12, 0, 0, (1, 0, 0), 1): (19, 20)
(12, 0, 0, (1, 0, 0), 2): (8, 8)
(12, 0, 0, (1, 0, 0), 7): (1, 1)
(12, 0, 0, (1, 0, 1), 0): (28, 37)
(12, 0, 0, (1, 0, 1), 1): (9, 10)
(12, 0, 0, (1, 0, 1), 2): (6, 6)
(12, 0, 0, (1, 0, 1), 3): (1, 1)
(12, 0, 0, (1, 1, 0), 0): (74, 110)
(12, 0, 0, (1, 1, 0), 1): (8, 9)
(12, 0, 0, (1, 1, 0), 2): (4, 4)
(12, 0, 0, (1, 1, 0), 3): (2, 2)
(12, 0, 0, (1, 1, 0), 7): (1, 1)
(12, 0, 0, (1, 1, 1), 0): (20, 27)
(12, 0, 0, (1, 1, 1), 1): (9, 9)
(12, 0, 0, (1, 1, 1), 2): (4, 4)
(12, 0, 0, (1, 1, 1), 3): (1, 1)
(12, 0, 1, (0, 0, 0), 0): (759, 1805)
(12, 0, 1, (0, 0, 0), 1): (71, 83)
(12, 0, 1, (0, 0, 0), 2): (28, 34)
(12, 0, 1, (0, 0, 0), 3): (15, 15)
(12, 0, 1, (0, 0, 0), 4): (4, 4)
(12, 0, 1, (0, 0, 0), 5): (4, 4)
(12, 0, 1, (0, 0, 1), 0): (64, 87)
(12, 0, 1, (0, 0, 1), 1): (19, 23)
(12, 0, 1, (0, 0, 1), 2): (8, 9)
(12, 0, 1, (0, 0, 1), 3): (5, 5)
(12, 0, 1, (0, 0, 1), 4): (3, 3)
(12, 0, 1, (0, 0, 1), 5): (1, 1)
(12, 0, 1, (0, 1, 0), 0): (251, 437)
(12, 0, 1, (0, 1, 0), 1): (44, 52)
(12, 0, 1, (0, 1, 0), 2): (17, 20)
(12, 0, 1, (0, 1, 0), 4): (3, 3)
(12, 0, 1, (0, 1, 0), 5): (1, 1)
(12, 0, 1, (0, 1, 1), 0): (58, 79)
(12, 0, 1, (0, 1, 1), 1): (23, 24)
(12, 0, 1, (0, 1, 1), 2): (14, 14)
(12, 0, 1, (0, 1, 1), 3): (2, 2)
(12, 0, 1, (0, 1, 1), 4): (1, 1)
(12, 0, 1, (0, 1, 1), 5): (2, 2)
(12, 0, 1, (1, 0, 0), 0): (343, 746)
(12, 0, 1, (1, 0, 0), 1): (52, 58)
(12, 0, 1, (1, 0, 0), 2): (21, 21)
(12, 0, 1, (1, 0, 0), 3): (3, 3)
(12, 0, 1, (1, 0, 0), 4): (3, 3)
(12, 0, 1, (1, 0, 0), 5): (2, 2)
(12, 0, 1, (1, 0, 0), 7): (1, 1)
(12, 0, 1, (1, 0, 1), 0): (73, 112)
(12, 0, 1, (1, 0, 1), 1): (25, 29)
(12, 0, 1, (1, 0, 1), 2): (15, 15)
(12, 0, 1, (1, 0, 1), 3): (4, 4)
(12, 0, 1, (1, 0, 1), 5): (1, 1)
(12, 0, 1, (1, 1, 0), 0): (158, 279)
(12, 0, 1, (1, 1, 0), 1): (39, 50)
(12, 0, 1, (1, 1, 0), 2): (15, 18)
(12, 0, 1, (1, 1, 0), 3): (5, 5)
(12, 0, 1, (1, 1, 0), 4): (2, 2)
(12, 0, 1, (1, 1, 0), 6): (1, 1)
(12, 0, 1, (1, 1, 1), 0): (66, 91)
(12, 0, 1, (1, 1, 1), 1): (39, 42)
(12, 0, 1, (1, 1, 1), 2): (22, 24)
(12, 0, 1, (1, 1, 1), 3): (3, 3)
(12, 0, 2, (0, 0, 0), 0): (497, 1301)
(12, 0, 2, (0, 0, 0), 1): (83, 93)
(12, 0, 2, (0, 0, 0), 2): (49, 55)
(12, 0, 2, (0, 0, 0), 3): (26, 27)
(12, 0, 2, (0, 0, 0), 4): (9, 9)
(12, 0, 2, (0, 0, 0), 5): (3, 3)
(12, 0, 2, (0, 0, 0), 6): (3, 3)
(12, 0, 2, (0, 0, 0), 8): (1, 1)
(12, 0, 2, (0, 0, 1), 0): (65, 119)
(12, 0, 2, (0, 0, 1), 1): (27, 34)
(12, 0, 2, (0, 0, 1), 2): (12, 14)
(12, 0, 2, (0, 0, 1), 3): (9, 10)
(12, 0, 2, (0, 0, 1), 4): (8, 9)
(12, 0, 2, (0, 0, 1), 5): (2, 2)
(12, 0, 2, (0, 0, 1), 6): (2, 2)
(12, 0, 2, (0, 1, 0), 0): (156, 333)
(12, 0, 2, (0, 1, 0), 1): (79, 95)
(12, 0, 2, (0, 1, 0), 2): (45, 48)
(12, 0, 2, (0, 1, 0), 3): (9, 9)
(12, 0, 2, (0, 1, 0), 4): (6, 6)
(12, 0, 2, (0, 1, 0), 5): (3, 3)
(12, 0, 2, (0, 1, 0), 6): (1, 1)
(12, 0, 2, (0, 1, 0), 7): (2, 2)
(12, 0, 2, (0, 1, 1), 0): (37, 66)
(12, 0, 2, (0, 1, 1), 1): (25, 31)
(12, 0, 2, (0, 1, 1), 2): (17, 17)
(12, 0, 2, (0, 1, 1), 3): (8, 9)
(12, 0, 2, (0, 1, 1), 4): (2, 2)
(12, 0, 2, (0, 1, 1), 6): (1, 1)
(12, 0, 2, (1, 0, 0), 0): (255, 637)
(12, 0, 2, (1, 0, 0), 1): (81, 98)
(12, 0, 2, (1, 0, 0), 2): (35, 37)
(12, 0, 2, (1, 0, 0), 3): (14, 15)
(12, 0, 2, (1, 0, 0), 4): (7, 7)
(12, 0, 2, (1, 0, 0), 5): (4, 4)
(12, 0, 2, (1, 0, 0), 6): (3, 3)
(12, 0, 2, (1, 0, 0), 7): (1, 1)
(12, 0, 2, (1, 0, 0), 8): (1, 1)
(12, 0, 2, (1, 0, 1), 0): (62, 136)
(12, 0, 2, (1, 0, 1), 1): (52, 64)
(12, 0, 2, (1, 0, 1), 2): (25, 25)
(12, 0, 2, (1, 0, 1), 3): (15, 15)
(12, 0, 2, (1, 0, 1), 4): (2, 2)
(12, 0, 2, (1, 0, 1), 5): (3, 3)
(12, 0, 2, (1, 0, 1), 6): (2, 2)
(12, 0, 2, (1, 1, 0), 0): (156, 345)
(12, 0, 2, (1, 1, 0), 1): (75, 92)
(12, 0, 2, (1, 1, 0), 2): (31, 36)
(12, 0, 2, (1, 1, 0), 3): (18, 18)
(12, 0, 2, (1, 1, 0), 4): (9, 9)
(12, 0, 2, (1, 1, 0), 5): (2, 2)
(12, 0, 2, (1, 1, 1), 0): (49, 97)
(12, 0, 2, (1, 1, 1), 1): (42, 54)
(12, 0, 2, (1, 1, 1), 2): (18, 22)
(12, 0, 2, (1, 1, 1), 3): (9, 9)
(12, 0, 2, (1, 1, 1), 4): (4, 4)
(12, 0, 2, (1, 1, 1), 5): (1, 1)
(12, 0, 2, (1, 1, 1), 6): (1, 1)
(12, 1, 0, (0, 0, 0), -8): (0, 2)
(12, 1, 0, (0, 0, 0), -7): (0, 1)
(12, 1, 0, (0, 0, 0), -6): (0, 10)
(12, 1, 0, (0, 0, 0), -5): (0, 12)
(12, 1, 0, (0, 0, 0), -4): (1, 25)
(12, 1, 0, (0, 0, 0), -3): (2, 86)
(12, 1, 0, (0, 0, 0), -2): (18, 185)
(12, 1, 0, (0, 0, 0), -1): (75, 387)
(12, 1, 0, (0, 0, 0), 0): (1336, 2051)
(12, 1, 0, (0, 0, 0), 1): (40, 40)
(12, 1, 0, (0, 0, 0), 2): (7, 7)
(12, 1, 0, (0, 0, 0), 3): (2, 2)
(12, 1, 0, (0, 0, 0), 4): (1, 1)
(12, 1, 0, (0, 0, 1), -3): (0, 1)
(12, 1, 0, (0, 0, 1), -1): (2, 5)
(12, 1, 0, (0, 0, 1), 0): (27, 28)
(12, 1, 0, (0, 0, 1), 1): (3, 3)
(12, 1, 0, (0, 1, 0), -5): (0, 3)
(12, 1, 0, (0, 1, 0), -4): (0, 1)
(12, 1, 0, (0, 1, 0), -3): (0, 10)
(12, 1, 0, (0, 1, 0), -2): (1, 12)
(12, 1, 0, (0, 1, 0), -1): (6, 20)
(12, 1, 0, (0, 1, 0), 0): (109, 126)
(12, 1, 0, (0, 1, 0), 1): (5, 5)
(12, 1, 0, (0, 1, 1), -3): (1, 1)
(12, 1, 0, (0, 1, 1), -1): (2, 4)
(12, 1, 0, (0, 1, 1), 0): (13, 16)
(12, 1, 0, (0, 1, 1), 1): (2, 2)
(12, 1, 0, (1, 0, 0), -6): (0, 3)
(12, 1, 0, (1, 0, 0), -5): (0, 5)
(12, 1, 0, (1, 0, 0), -4): (0, 7)
(12, 1, 0, (1, 0, 0), -3): (2, 23)
(12, 1, 0, (1, 0, 0), -2): (10, 52)
(12, 1, 0, (1, 0, 0), -1): (39, 95)
(12, 1, 0, (1, 0, 0), 0): (429, 599)
(12, 1, 0, (1, 0, 0), 1): (12, 12)
(12, 1, 0, (1, 0, 1), -3): (0, 3)
(12, 1, 0, (1, 0, 1), -2): (1, 5)
(12, 1, 0, (1, 0, 1), -1): (2, 5)
(12, 1, 0, (1, 0, 1), 0): (35, 42)
(12, 1, 0, (1, 0, 1), 1): (2, 2)
(12, 1, 0, (1, 1, 0), -5): (0, 2)
(12, 1, 0, (1, 1, 0), -4): (0, 2)
(12, 1, 0, (1, 1, 0), -3): (0, 5)
(12, 1, 0, (1, 1, 0), -2): (5, 13)
(12, 1, 0, (1, 1, 0), -1): (7, 11)
(12, 1, 0, (1, 1, 0), 0): (96, 116)
(12, 1, 0, (1, 1, 0), 1): (16, 16)
(12, 1, 0, (1, 1, 1), -3): (0, 1)
(12, 1, 0, (1, 1, 1), -2): (1, 1)
(12, 1, 0, (1, 1, 1), -1): (2, 3)
(12, 1, 0, (1, 1, 1), 0): (48, 53)
(12, 1, 0, (1, 1, 1), 1): (24, 24)
(12, 1, 1, (0, 0, 0), -8): (0, 2)
(12, 1, 1, (0, 0, 0), -7): (0, 2)
(12, 1, 1, (0, 0, 0), -6): (0, 7)
(12, 1, 1, (0, 0, 0), -5): (0, 6)
(12, 1, 1, (0, 0, 0), -4): (1, 18)
(12, 1, 1, (0, 0, 0), -3): (0, 53)
(12, 1, 1, (0, 0, 0), -2): (7, 123)
(12, 1, 1, (0, 0, 0), -1): (28, 272)
(12, 1, 1, (0, 0, 0), 0): (796, 1340)
(12, 1, 1, (0, 0, 0), 1): (25, 25)
(12, 1, 1, (0, 0, 0), 2): (19, 19)
(12, 1, 1, (0, 0, 0), 3): (6, 6)
(12, 1, 1, (0, 0, 0), 4): (1, 1)
(12, 1, 1, (0, 0, 1), -3): (0, 2)
(12, 1, 1, (0, 0, 1), -2): (0, 5)
(12, 1, 1, (0, 0, 1), -1): (4, 14)
(12, 1, 1, (0, 0, 1), 0): (64, 71)
(12, 1, 1, (0, 0, 1), 1): (3, 3)
(12, 1, 1, (0, 1, 0), -6): (0, 1)
(12, 1, 1, (0, 1, 0), -5): (0, 2)
(12, 1, 1, (0, 1, 0), -4): (0, 4)
(12, 1, 1, (0, 1, 0), -3): (0, 10)
(12, 1, 1, (0, 1, 0), -2): (4, 20)
(12, 1, 1, (0, 1, 0), -1): (20, 57)
(12, 1, 1, (0, 1, 0), 0): (266, 364)
(12, 1, 1, (0, 1, 0), 1): (14, 14)
(12, 1, 1, (0, 1, 1), -4): (1, 3)
(12, 1, 1, (0, 1, 1), -3): (0, 2)
(12, 1, 1, (0, 1, 1), -2): (2, 4)
(12, 1, 1, (0, 1, 1), -1): (5, 6)
(12, 1, 1, (0, 1, 1), 0): (68, 81)
(12, 1, 1, (0, 1, 1), 1): (12, 12)
(12, 1, 1, (1, 0, 0), -6): (0, 4)
(12, 1, 1, (1, 0, 0), -5): (0, 4)
(12, 1, 1, (1, 0, 0), -4): (1, 9)
(12, 1, 1, (1, 0, 0), -3): (1, 20)
(12, 1, 1, (1, 0, 0), -2): (7, 60)
(12, 1, 1, (1, 0, 0), -1): (30, 110)
(12, 1, 1, (1, 0, 0), 0): (346, 565)
(12, 1, 1, (1, 0, 0), 1): (45, 45)
(12, 1, 1, (1, 0, 1), -5): (0, 1)
(12, 1, 1, (1, 0, 1), -4): (0, 2)
(12, 1, 1, (1, 0, 1), -3): (1, 2)
(12, 1, 1, (1, 0, 1), -2): (4, 9)
(12, 1, 1, (1, 0, 1), -1): (10, 13)
(12, 1, 1, (1, 0, 1), 0): (80, 99)
(12, 1, 1, (1, 0, 1), 1): (15, 15)
(12, 1, 1, (1, 1, 0), -4): (0, 5)
(12, 1, 1, (1, 1, 0), -3): (0, 8)
(12, 1, 1, (1, 1, 0), -2): (6, 18)
(12, 1, 1, (1, 1, 0), -1): (13, 37)
(12, 1, 1, (1, 1, 0), 0): (222, 302)
(12, 1, 1, (1, 1, 0), 1): (55, 55)
(12, 1, 1, (1, 1, 1), -4): (0, 2)
(12, 1, 1, (1, 1, 1), -3): (0, 4)
(12, 1, 1, (1, 1, 1), -2): (1, 3)
(12, 1, 1, (1, 1, 1), -1): (8, 11)
(12, 1, 1, (1, 1, 1), 0): (128, 149)
(12, 1, 1, (1, 1, 1), 1): (52, 52)
(12, 1, 2, (0, 0, 0), -8): (0, 1)
(12, 1, 2, (0, 0, 0), -7): (0, 2)
(12, 1, 2, (0, 0, 0), -6): (0, 5)
(12, 1, 2, (0, 0, 0), -5): (0, 5)
(12, 1, 2, (0, 0, 0), -4): (0, 14)
(12, 1, 2, (0, 0, 0), -3): (0, 42)
(12, 1, 2, (0, 0, 0), -2): (2, 90)
(12, 1, 2, (0, 0, 0), -1): (9, 208)
(12, 1, 2, (0, 0, 0), 0): (524, 948)
(12, 1, 2, (0, 0, 0), 1): (27, 27)
(12, 1, 2, (0, 0, 0), 2): (10, 10)
(12, 1, 2, (0, 0, 0), 3): (15, 15)
(12, 1, 2, (0, 0, 0), 4): (1, 1)
(12, 1, 2, (0, 0, 1), -6): (0, 2)
(12, 1, 2, (0, 0, 1), -5): (0, 1)
(12, 1, 2, (0, 0, 1), -3): (0, 2)
(12, 1, 2, (0, 0, 1), -2): (0, 5)
(12, 1, 2, (0, 0, 1), -1): (8, 24)
(12, 1, 2, (0, 0, 1), 0): (59, 83)
(12, 1, 2, (0, 0, 1), 1): (3, 3)
(12, 1, 2, (0, 1, 0), -8): (0, 1)
(12, 1, 2, (0, 1, 0), -5): (0, 2)
(12, 1, 2, (0, 1, 0), -4): (0, 2)
(12, 1, 2, (0, 1, 0), -3): (0, 6)
(12, 1, 2, (0, 1, 0), -2): (0, 21)
(12, 1, 2, (0, 1, 0), -1): (8, 49)
(12, 1, 2, (0, 1, 0), 0): (169, 266)
(12, 1, 2, (0, 1, 0), 1): (17, 17)
(12, 1, 2, (0, 1, 1), -6): (0, 1)
(12, 1, 2, (0, 1, 1), -4): (0, 4)
(12, 1, 2, (0, 1, 1), -3): (0, 2)
(12, 1, 2, (0, 1, 1), -2): (1, 4)
(12, 1, 2, (0, 1, 1), -1): (0, 6)
(12, 1, 2, (0, 1, 1), 0): (55, 82)
(12, 1, 2, (0, 1, 1), 1): (1, 1)
(12, 1, 2, (1, 0, 0), -7): (0, 2)
(12, 1, 2, (1, 0, 0), -6): (0, 6)
(12, 1, 2, (1, 0, 0), -5): (0, 4)
(12, 1, 2, (1, 0, 0), -4): (0, 9)
(12, 1, 2, (1, 0, 0), -3): (1, 18)
(12, 1, 2, (1, 0, 0), -2): (2, 57)
(12, 1, 2, (1, 0, 0), -1): (11, 98)
(12, 1, 2, (1, 0, 0), 0): (276, 485)
(12, 1, 2, (1, 0, 0), 1): (38, 38)
(12, 1, 2, (1, 0, 1), -8): (0, 1)
(12, 1, 2, (1, 0, 1), -6): (0, 1)
(12, 1, 2, (1, 0, 1), -4): (0, 1)
(12, 1, 2, (1, 0, 1), -2): (0, 10)
(12, 1, 2, (1, 0, 1), -1): (3, 12)
(12, 1, 2, (1, 0, 1), 0): (72, 113)
(12, 1, 2, (1, 0, 1), 1): (14, 14)
(12, 1, 2, (1, 1, 0), -6): (0, 1)
(12, 1, 2, (1, 1, 0), -5): (0, 2)
(12, 1, 2, (1, 1, 0), -4): (0, 5)
(12, 1, 2, (1, 1, 0), -3): (0, 13)
(12, 1, 2, (1, 1, 0), -2): (2, 19)
(12, 1, 2, (1, 1, 0), -1): (10, 49)
(12, 1, 2, (1, 1, 0), 0): (207, 316)
(12, 1, 2, (1, 1, 0), 1): (91, 91)
(12, 1, 2, (1, 1, 1), -6): (0, 1)
(12, 1, 2, (1, 1, 1), -4): (0, 2)
(12, 1, 2, (1, 1, 1), -3): (0, 4)
(12, 1, 2, (1, 1, 1), -2): (0, 4)
(12, 1, 2, (1, 1, 1), -1): (2, 9)
(12, 1, 2, (1, 1, 1), 0): (101, 144)
(12, 1, 2, (1, 1, 1), 1): (54, 54)
(13, 0, 0, (0, 0, 0), 0): (739, 1534)
(13, 0, 0, (0, 0, 0), 1): (355, 362)
(13, 0, 0, (0, 0, 0), 2): (153, 153)
(13, 0, 0, (0, 0, 0), 3): (65, 65)
(13, 0, 0, (0, 0, 0), 4): (22, 22)
(13, 0, 0, (0, 0, 0), 5): (12, 12)
(13, 0, 0, (0, 0, 0), 6): (8, 8)
(13, 0, 0, (0, 0, 0), 7): (1, 1)
(13, 0, 0, (0, 0, 0), 8): (1, 1)
(13, 0, 0, (0, 0, 1), 0): (10, 12)
(13, 0, 0, (0, 0, 1), 1): (4, 4)
(13, 0, 0, (0, 0, 1), 2): (2, 2)
(13, 0, 0, (0, 1, 0), 0): (50, 75)
(13, 0, 0, (0, 1, 0), 1): (9, 9)
(13, 0, 0, (0, 1, 0), 2): (2, 2)
(13, 0, 0, (0, 1, 1), 0): (12, 15)
(13, 0, 0, (0, 1, 1), 1): (3, 3)
(13, 0, 0, (0, 1, 1), 4): (1, 1)
(13, 0, 0, (1, 0, 0), 0): (253, 416)
(13, 0, 0, (1, 0, 0), 1): (6, 8)
(13, 0, 0, (1, 0, 0), 2): (3, 3)
(13, 0, 0, (1, 0, 0), 4): (1, 1)
(13, 0, 0, (1, 0, 1), 0): (19, 22)
(13, 0, 0, (1, 0, 1), 1): (4, 5)
(13, 0, 0, (1, 0, 1), 2): (1, 1)
(13, 0, 0, (1, 1, 0), 0): (31, 51)
(13, 0, 0, (1, 1, 0), 1): (6, 6)
(13, 0, 0, (1, 1, 0), 2): (4, 4)
(13, 0, 0, (1, 1, 0), 3): (1, 1)
(13, 0, 0, (1, 1, 0), 4): (1, 1)
(13, 0, 0, (1, 1, 1), 0): (13, 14)
(13, 0, 0, (1, 1, 1), 1): (8, 8)
(13, 0, 0, (1, 1, 1), 2): (2, 2)
(13, 0, 1, (0, 0, 0), 0): (419, 1032)
(13, 0, 1, (0, 0, 0), 1): (40, 51)
(13, 0, 1, (0, 0, 0), 2): (23, 23)
(13, 0, 1, (0, 0, 0), 3): (8, 8)
(13, 0, 1, (0, 0, 0), 4): (2, 2)
(13, 0, 1, (0, 0, 0), 5): (1, 1)
(13, 0, 1, (0, 0, 0), 6): (2, 2)
(13, 0, 1, (0, 0, 1), 0): (32, 47)
(13, 0, 1, (0, 0, 1), 1): (8, 9)
(13, 0, 1, (0, 0, 1), 2): (3, 3)
(13, 0, 1, (0, 0, 1), 3): (4, 4)
(13, 0, 1, (0, 0, 1), 5): (2, 2)
(13, 0, 1, (0, 1, 0), 0): (149, 248)
(13, 0, 1, (0, 1, 0), 1): (18, 26)
(13, 0, 1, (0, 1, 0), 2): (13, 13)
(13, 0, 1, (0, 1, 0), 3): (10, 10)
(13, 0, 1, (0, 1, 0), 4): (1, 1)
(13, 0, 1, (0, 1, 0), 6): (1, 1)
(13, 0, 1, (0, 1, 1), 0): (23, 33)
(13, 0, 1, (0, 1, 1), 1): (18, 22)
(13, 0, 1, (0, 1, 1), 2): (4, 5)
(13, 0, 1, (0, 1, 1), 3): (3, 3)
(13, 0, 1, (0, 1, 1), 4): (5, 5)
(13, 0, 1, (1, 0, 0), 0): (189, 401)
(13, 0, 1, (1, 0, 0), 1): (25, 35)
(13, 0, 1, (1, 0, 0), 2): (12, 12)
(13, 0, 1, (1, 0, 0), 3): (2, 2)
(13, 0, 1, (1, 0, 0), 4): (1, 1)
(13, 0, 1, (1, 0, 0), 5): (1, 1)
(13, 0, 1, (1, 0, 0), 6): (1, 1)
(13, 0, 1, (1, 0, 1), 0): (37, 57)
(13, 0, 1, (1, 0, 1), 1): (17, 19)
(13, 0, 1, (1, 0, 1), 2): (9, 9)
(13, 0, 1, (1, 0, 1), 3): (5, 5)
(13, 0, 1, (1, 0, 1), 5): (2, 2)
(13, 0, 1, (1, 1, 0), 0): (97, 173)
(13, 0, 1, (1, 1, 0), 1): (22, 27)
(13, 0, 1, (1, 1, 0), 2): (10, 11)
(13, 0, 1, (1, 1, 0), 3): (3, 3)
(13, 0, 1, (1, 1, 0), 4): (1, 1)
(13, 0, 1, (1, 1, 0), 5): (1, 1)
(13, 0, 1, (1, 1, 1), 0): (35, 42)
(13, 0, 1, (1, 1, 1), 1): (15, 20)
(13, 0, 1, (1, 1, 1), 2): (10, 12)
(13, 0, 1, (1, 1, 1), 3): (2, 2)
(13, 0, 1, (1, 1, 1), 4): (1, 1)
(13, 0, 2, (0, 0, 0), 0): (281, 750)
(13, 0, 2, (0, 0, 0), 1): (61, 67)
(13, 0, 2, (0, 0, 0), 2): (32, 34)
(13, 0, 2, (0, 0, 0), 3): (14, 14)
(13, 0, 2, (0, 0, 0), 4): (8, 8)
(13, 0, 2, (0, 0, 0), 5): (5, 5)
(13, 0, 2, (0, 0, 0), 6): (2, 2)
(13, 0, 2, (0, 0, 0), 8): (1, 1)
(13, 0, 2, (0, 0, 1), 0): (34, 71)
(13, 0, 2, (0, 0, 1), 1): (6, 13)
(13, 0, 2, (0, 0, 1), 2): (13, 13)
(13, 0, 2, (0, 0, 1), 3): (5, 5)
(13, 0, 2, (0, 0, 1), 4): (3, 3)
(13, 0, 2, (0, 0, 1), 5): (3, 3)
(13, 0, 2, (0, 1, 0), 0): (82, 165)
(13, 0, 2, (0, 1, 0), 1): (28, 39)
(13, 0, 2, (0, 1, 0), 2): (19, 23)
(13, 0, 2, (0, 1, 0), 3): (14, 14)
(13, 0, 2, (0, 1, 0), 4): (6, 6)
(13, 0, 2, (0, 1, 0), 5): (4, 4)
(13, 0, 2, (0, 1, 0), 6): (2, 2)
(13, 0, 2, (0, 1, 0), 8): (1, 1)
(13, 0, 2, (0, 1, 1), 0): (15, 42)
(13, 0, 2, (0, 1, 1), 1): (25, 32)
(13, 0, 2, (0, 1, 1), 2): (7, 7)
(13, 0, 2, (0, 1, 1), 3): (6, 7)
(13, 0, 2, (0, 1, 1), 4): (3, 3)
(13, 0, 2, (1, 0, 0), 0): (141, 354)
(13, 0, 2, (1, 0, 0), 1): (56, 72)
(13, 0, 2, (1, 0, 0), 2): (19, 21)
(13, 0, 2, (1, 0, 0), 3): (16, 16)
(13, 0, 2, (1, 0, 0), 4): (3, 3)
(13, 0, 2, (1, 0, 0), 5): (2, 2)
(13, 0, 2, (1, 0, 0), 6): (2, 2)
(13, 0, 2, (1, 0, 0), 8): (1, 1)
(13, 0, 2, (1, 0, 1), 0): (38, 71)
(13, 0, 2, (1, 0, 1), 1): (22, 30)
(13, 0, 2, (1, 0, 1), 2): (10, 11)
(13, 0, 2, (1, 0, 1), 3): (3, 3)
(13, 0, 2, (1, 0, 1), 4): (2, 2)
(13, 0, 2, (1, 0, 1), 5): (2, 2)
(13, 0, 2, (1, 0, 1), 6): (1, 1)
(13, 0, 2, (1, 0, 1), 7): (1, 1)
(13, 0, 2, (1, 1, 0), 0): (98, 181)
(13, 0, 2, (1, 1, 0), 1): (47, 53)
(13, 0, 2, (1, 1, 0), 2): (19, 21)
(13, 0, 2, (1, 1, 0), 3): (9, 9)
(13, 0, 2, (1, 1, 0), 4): (2, 2)
(13, 0, 2, (1, 1, 0), 5): (4, 4)
(13, 0, 2, (1, 1, 0), 6): (2, 2)
(13, 0, 2, (1, 1, 0), 8): (1, 1)
(13, 0, 2, (1, 1, 1), 0): (36, 60)
(13, 0, 2, (1, 1, 1), 1): (23, 29)
(13, 0, 2, (1, 1, 1), 2): (9, 11)
(13, 0, 2, (1, 1, 1), 3): (3, 3)
(13, 0, 2, (1, 1, 1), 5): (1, 1)
(13, 1, 0, (0, 0, 0), -8): (0, 1)
(13, 1, 0, (0, 0, 0), -7): (0, 1)
(13, 1, 0, (0, 0, 0), -6): (0, 7)
(13, 1, 0, (0, 0, 0), -5): (0, 13)
(13, 1, 0, (0, 0, 0), -4): (0, 21)
(13, 1, 0, (0, 0, 0), -3): (1, 40)
(13, 1, 0, (0, 0, 0), -2): (10, 99)
(13, 1, 0, (0, 0, 0), -1): (50, 229)
(13, 1, 0, (0, 0, 0), 0): (739, 1136)
(13, 1, 0, (0, 0, 0), 1): (28, 28)
(13, 1, 0, (0, 0, 0), 2): (1, 1)
(13, 1, 0, (0, 0, 0), 4): (1, 1)
(13, 1, 0, (0, 0, 1), -4): (0, 1)
(13, 1, 0, (0, 0, 1), -1): (1, 1)
(13, 1, 0, (0, 0, 1), 0): (9, 11)
(13, 1, 0, (0, 1, 0), -6): (0, 1)
(13, 1, 0, (0, 1, 0), -2): (1, 3)
(13, 1, 0, (0, 1, 0), -1): (9, 15)
(13, 1, 0, (0, 1, 0), 0): (63, 75)
(13, 1, 0, (0, 1, 0), 1): (3, 3)
(13, 1, 0, (0, 1, 1), -3): (0, 1)
(13, 1, 0, (0, 1, 1), -2): (1, 2)
(13, 1, 0, (0, 1, 1), 0): (11, 12)
(13, 1, 0, (0, 1, 1), 1): (1, 1)
(13, 1, 0, (1, 0, 0), -8): (0, 1)
(13, 1, 0, (1, 0, 0), -6): (0, 3)
(13, 1, 0, (1, 0, 0), -5): (0, 2)
(13, 1, 0, (1, 0, 0), -4): (0, 2)
(13, 1, 0, (1, 0, 0), -3): (0, 14)
(13, 1, 0, (1, 0, 0), -2): (7, 28)
(13, 1, 0, (1, 0, 0), -1): (22, 64)
(13, 1, 0, (1, 0, 0), 0): (237, 307)
(13, 1, 0, (1, 0, 0), 1): (4, 4)
(13, 1, 0, (1, 0, 1), -3): (0, 2)
(13, 1, 0, (1, 0, 1), -2): (2, 3)
(13, 1, 0, (1, 0, 1), -1): (6, 6)
(13, 1, 0, (1, 0, 1), 0): (23, 26)
(13, 1, 0, (1, 0, 1), 1): (2, 2)
(13, 1, 0, (1, 1, 0), -5): (0, 1)
(13, 1, 0, (1, 1, 0), -3): (0, 2)
(13, 1, 0, (1, 1, 0), -2): (0, 8)
(13, 1, 0, (1, 1, 0), -1): (9, 15)
(13, 1, 0, (1, 1, 0), 0): (59, 66)
(13, 1, 0, (1, 1, 0), 1): (16, 16)
(13, 1, 0, (1, 1, 1), -2): (0, 1)
(13, 1, 0, (1, 1, 1), -1): (3, 3)
(13, 1, 0, (1, 1, 1), 0): (33, 34)
(13, 1, 0, (1, 1, 1), 1): (13, 13)
(13, 1, 1, (0, 0, 0), -7): (0, 1)
(13, 1, 1, (0, 0, 0), -6): (0, 3)
(13, 1, 1, (0, 0, 0), -5): (0, 11)
(13, 1, 1, (0, 0, 0), -4): (0, 19)
(13, 1, 1, (0, 0, 0), -3): (1, 26)
(13, 1, 1, (0, 0, 0), -2): (2, 64)
(13, 1, 1, (0, 0, 0), -1): (16, 151)
(13, 1, 1, (0, 0, 0), 0): (437, 758)
(13, 1, 1, (0, 0, 0), 1): (23, 23)
(13, 1, 1, (0, 0, 0), 2): (5, 5)
(13, 1, 1, (0, 0, 0), 3): (3, 3)
(13, 1, 1, (0, 0, 0), 4): (1, 1)
(13, 1, 1, (0, 0, 1), -4): (0, 1)
(13, 1, 1, (0, 0, 1), -1): (3, 10)
(13, 1, 1, (0, 0, 1), 0): (20, 24)
(13, 1, 1, (0, 0, 1), 1): (2, 2)
(13, 1, 1, (0, 1, 0), -8): (0, 1)
(13, 1, 1, (0, 1, 0), -6): (0, 2)
(13, 1, 1, (0, 1, 0), -5): (0, 1)
(13, 1, 1, (0, 1, 0), -4): (0, 1)
(13, 1, 1, (0, 1, 0), -3): (0, 3)
(13, 1, 1, (0, 1, 0), -2): (2, 7)
(13, 1, 1, (0, 1, 0), -1): (10, 27)
(13, 1, 1, (0, 1, 0), 0): (150, 199)
(13, 1, 1, (0, 1, 0), 1): (9, 9)
(13, 1, 1, (0, 1, 1), -4): (0, 1)
(13, 1, 1, (0, 1, 1), -3): (0, 1)
(13, 1, 1, (0, 1, 1), -2): (1, 4)
(13, 1, 1, (0, 1, 1), -1): (4, 9)
(13, 1, 1, (0, 1, 1), 0): (28, 31)
(13, 1, 1, (0, 1, 1), 1): (6, 6)
(13, 1, 1, (1, 0, 0), -6): (0, 4)
(13, 1, 1, (1, 0, 0), -5): (0, 4)
(13, 1, 1, (1, 0, 0), -4): (0, 6)
(13, 1, 1, (1, 0, 0), -3): (1, 15)
(13, 1, 1, (1, 0, 0), -2): (4, 23)
(13, 1, 1, (1, 0, 0), -1): (15, 60)
(13, 1, 1, (1, 0, 0), 0): (186, 294)
(13, 1, 1, (1, 0, 0), 1): (15, 15)
(13, 1, 1, (1, 0, 1), -8): (0, 1)
(13, 1, 1, (1, 0, 1), -4): (0, 1)
(13, 1, 1, (1, 0, 1), -3): (0, 2)
(13, 1, 1, (1, 0, 1), -2): (1, 2)
(13, 1, 1, (1, 0, 1), -1): (5, 9)
(13, 1, 1, (1, 0, 1), 0): (31, 39)
(13, 1, 1, (1, 0, 1), 1): (4, 4)
(13, 1, 1, (1, 1, 0), -5): (0, 1)
(13, 1, 1, (1, 1, 0), -4): (0, 1)
(13, 1, 1, (1, 1, 0), -3): (1, 7)
(13, 1, 1, (1, 1, 0), -2): (2, 7)
(13, 1, 1, (1, 1, 0), -1): (10, 23)
(13, 1, 1, (1, 1, 0), 0): (122, 163)
(13, 1, 1, (1, 1, 0), 1): (25, 25)
(13, 1, 1, (1, 1, 1), -8): (0, 1)
(13, 1, 1, (1, 1, 1), -4): (0, 1)
(13, 1, 1, (1, 1, 1), -3): (0, 1)
(13, 1, 1, (1, 1, 1), -2): (1, 2)
(13, 1, 1, (1, 1, 1), -1): (7, 10)
(13, 1, 1, (1, 1, 1), 0): (70, 80)
(13, 1, 1, (1, 1, 1), 1): (32, 32)
(13, 1, 2, (0, 0, 0), -7): (0, 1)
(13, 1, 2, (0, 0, 0), -6): (0, 1)
(13, 1, 2, (0, 0, 0), -5): (0, 7)
(13, 1, 2, (0, 0, 0), -4): (0, 13)
(13, 1, 2, (0, 0, 0), -3): (0, 17)
(13, 1, 2, (0, 0, 0), -2): (0, 50)
(13, 1, 2, (0, 0, 0), -1): (5, 117)
(13, 1, 2, (0, 0, 0), 0): (288, 538)
(13, 1, 2, (0, 0, 0), 1): (13, 13)
(13, 1, 2, (0, 0, 0), 2): (11, 11)
(13, 1, 2, (0, 0, 0), 3): (6, 6)
(13, 1, 2, (0, 0, 0), 4): (1, 1)
(13, 1, 2, (0, 0, 1), -4): (0, 1)
(13, 1, 2, (0, 0, 1), -2): (0, 3)
(13, 1, 2, (0, 0, 1), -1): (1, 11)
(13, 1, 2, (0, 0, 1), 0): (32, 47)
(13, 1, 2, (0, 0, 1), 1): (2, 2)
(13, 1, 2, (0, 1, 0), -6): (0, 1)
(13, 1, 2, (0, 1, 0), -5): (0, 4)
(13, 1, 2, (0, 1, 0), -4): (0, 2)
(13, 1, 2, (0, 1, 0), -3): (0, 3)
(13, 1, 2, (0, 1, 0), -2): (0, 9)
(13, 1, 2, (0, 1, 0), -1): (3, 22)
(13, 1, 2, (0, 1, 0), 0): (96, 139)
(13, 1, 2, (0, 1, 0), 1): (10, 10)
(13, 1, 2, (0, 1, 1), -5): (0, 2)
(13, 1, 2, (0, 1, 1), -4): (0, 1)
(13, 1, 2, (0, 1, 1), -3): (0, 1)
(13, 1, 2, (0, 1, 1), -2): (0, 3)
(13, 1, 2, (0, 1, 1), -1): (0, 3)
(13, 1, 2, (0, 1, 1), 0): (16, 22)
(13, 1, 2, (0, 1, 1), 1): (5, 5)
(13, 1, 2, (1, 0, 0), -6): (0, 5)
(13, 1, 2, (1, 0, 0), -5): (0, 5)
(13, 1, 2, (1, 0, 0), -4): (0, 6)
(13, 1, 2, (1, 0, 0), -3): (0, 12)
(13, 1, 2, (1, 0, 0), -2): (0, 26)
(13, 1, 2, (1, 0, 0), -1): (8, 68)
(13, 1, 2, (1, 0, 0), 0): (146, 265)
(13, 1, 2, (1, 0, 0), 1): (29, 29)
(13, 1, 2, (1, 0, 1), -4): (0, 2)
(13, 1, 2, (1, 0, 1), -3): (0, 3)
(13, 1, 2, (1, 0, 1), -2): (2, 8)
(13, 1, 2, (1, 0, 1), -1): (2, 10)
(13, 1, 2, (1, 0, 1), 0): (38, 58)
(13, 1, 2, (1, 0, 1), 1): (5, 5)
(13, 1, 2, (1, 1, 0), -6): (0, 2)
(13, 1, 2, (1, 1, 0), -5): (0, 3)
(13, 1, 2, (1, 1, 0), -4): (0, 1)
(13, 1, 2, (1, 1, 0), -3): (1, 5)
(13, 1, 2, (1, 1, 0), -2): (0, 9)
(13, 1, 2, (1, 1, 0), -1): (4, 22)
(13, 1, 2, (1, 1, 0), 0): (128, 179)
(13, 1, 2, (1, 1, 0), 1): (46, 46)
(13, 1, 2, (1, 1, 1), -4): (0, 1)
(13, 1, 2, (1, 1, 1), -3): (0, 1)
(13, 1, 2, (1, 1, 1), -2): (1, 2)
(13, 1, 2, (1, 1, 1), -1): (2, 7)
(13, 1, 2, (1, 1, 1), 0): (57, 77)
(13, 1, 2, (1, 1, 1), 1): (20, 20)
(14, 0, 0, (0, 0, 0), 0): (414, 867)
(14, 0, 0, (0, 0, 0), 1): (200, 200)
(14, 0, 0, (0, 0, 0), 2): (75, 75)
(14, 0, 0, (0, 0, 0), 3): (35, 35)
(14, 0, 0, (0, 0, 0), 4): (19, 19)
(14, 0, 0, (0, 0, 0), 5): (15, 15)
(14, 0, 0, (0, 0, 0), 6): (5, 5)
(14, 0, 0, (0, 0, 0), 7): (1, 1)
(14, 0, 0, (0, 0, 0), 8): (1, 1)
(14, 0, 0, (0, 0, 1), 0): (2, 5)
(14, 0, 0, (0, 1, 0), 0): (29, 53)
(14, 0, 0, (0, 1, 0), 1): (5, 5)
(14, 0, 0, (0, 1, 0), 2): (1, 1)
(14, 0, 0, (0, 1, 0), 6): (1, 1)
(14, 0, 0, (0, 1, 1), 0): (2, 5)
(14, 0, 0, (0, 1, 1), 1): (4, 4)
(14, 0, 0, (0, 1, 1), 3): (1, 1)
(14, 0, 0, (0, 1, 1), 4): (1, 1)
(14, 0, 0, (1, 0, 0), 0): (120, 219)
(14, 0, 0, (1, 0, 0), 1): (4, 4)
(14, 0, 0, (1, 0, 0), 2): (2, 2)
(14, 0, 0, (1, 0, 0), 5): (1, 1)
(14, 0, 0, (1, 0, 1), 0): (11, 18)
(14, 0, 0, (1, 0, 1), 1): (1, 1)
(14, 0, 0, (1, 1, 0), 0): (25, 33)
(14, 0, 0, (1, 1, 0), 1): (6, 8)
(14, 0, 0, (1, 1, 0), 2): (2, 4)
(14, 0, 0, (1, 1, 0), 4): (1, 1)
(14, 0, 0, (1, 1, 1), 0): (4, 6)
(14, 0, 0, (1, 1, 1), 1): (4, 4)
(14, 0, 0, (1, 1, 1), 2): (3, 3)
(14, 0, 1, (0, 0, 0), 0): (255, 597)
(14, 0, 1, (0, 0, 0), 1): (21, 21)
(14, 0, 1, (0, 0, 0), 2): (8, 8)
(14, 0, 1, (0, 0, 0), 3): (2, 2)
(14, 0, 1, (0, 0, 0), 4): (2, 2)
(14, 0, 1, (0, 0, 0), 7): (1, 1)
(14, 0, 1, (0, 0, 1), 0): (13, 29)
(14, 0, 1, (0, 0, 1), 1): (3, 3)
(14, 0, 1, (0, 0, 1), 2): (1, 1)
(14, 0, 1, (0, 0, 1), 5): (1, 1)
(14, 0, 1, (0, 1, 0), 0): (76, 144)
(14, 0, 1, (0, 1, 0), 1): (15, 17)
(14, 0, 1, (0, 1, 0), 2): (6, 6)
(14, 0, 1, (0, 1, 0), 3): (1, 1)
(14, 0, 1, (0, 1, 0), 4): (1, 1)
(14, 0, 1, (0, 1, 0), 5): (2, 2)
(14, 0, 1, (0, 1, 0), 6): (1, 1)
(14, 0, 1, (0, 1, 1), 0): (14, 23)
(14, 0, 1, (0, 1, 1), 1): (11, 12)
(14, 0, 1, (0, 1, 1), 2): (4, 4)
(14, 0, 1, (0, 1, 1), 3): (1, 1)
(14, 0, 1, (0, 1, 1), 4): (1, 1)
(14, 0, 1, (1, 0, 0), 0): (108, 214)
(14, 0, 1, (1, 0, 0), 1): (11, 12)
(14, 0, 1, (1, 0, 0), 2): (3, 3)
(14, 0, 1, (1, 0, 0), 3): (4, 4)
(14, 0, 1, (1, 0, 0), 5): (1, 1)
(14, 0, 1, (1, 0, 1), 0): (27, 46)
(14, 0, 1, (1, 0, 1), 1): (12, 14)
(14, 0, 1, (1, 0, 1), 2): (5, 5)
(14, 0, 1, (1, 0, 1), 3): (2, 2)
(14, 0, 1, (1, 0, 1), 4): (1, 1)
(14, 0, 1, (1, 0, 1), 5): (1, 1)
(14, 0, 1, (1, 0, 1), 6): (1, 1)
(14, 0, 1, (1, 1, 0), 0): (60, 92)
(14, 0, 1, (1, 1, 0), 1): (16, 23)
(14, 0, 1, (1, 1, 0), 2): (4, 6)
(14, 0, 1, (1, 1, 0), 3): (5, 5)
(14, 0, 1, (1, 1, 0), 4): (1, 1)
(14, 0, 1, (1, 1, 1), 0): (22, 32)
(14, 0, 1, (1, 1, 1), 1): (17, 18)
(14, 0, 1, (1, 1, 1), 2): (6, 6)
(14, 0, 1, (1, 1, 1), 3): (1, 1)
(14, 0, 1, (1, 1, 1), 4): (2, 2)
(14, 0, 2, (0, 0, 0), 0): (163, 429)
(14, 0, 2, (0, 0, 0), 1): (26, 26)
(14, 0, 2, (0, 0, 0), 2): (14, 15)
(14, 0, 2, (0, 0, 0), 3): (5, 6)
(14, 0, 2, (0, 0, 0), 4): (5, 5)
(14, 0, 2, (0, 0, 0), 5): (1, 1)
(14, 0, 2, (0, 0, 0), 7): (2, 2)
(14, 0, 2, (0, 0, 1), 0): (17, 35)
(14, 0, 2, (0, 0, 1), 1): (9, 10)
(14, 0, 2, (0, 0, 1), 2): (4, 5)
(14, 0, 2, (0, 0, 1), 3): (2, 2)
(14, 0, 2, (0, 0, 1), 4): (1, 1)
(14, 0, 2, (0, 0, 1), 5): (1, 1)
(14, 0, 2, (0, 1, 0), 0): (48, 121)
(14, 0, 2, (0, 1, 0), 1): (22, 26)
(14, 0, 2, (0, 1, 0), 2): (12, 12)
(14, 0, 2, (0, 1, 0), 3): (7, 7)
(14, 0, 2, (0, 1, 0), 4): (2, 2)
(14, 0, 2, (0, 1, 0), 5): (3, 3)
(14, 0, 2, (0, 1, 0), 6): (1, 1)
(14, 0, 2, (0, 1, 1), 0): (11, 23)
(14, 0, 2, (0, 1, 1), 1): (13, 14)
(14, 0, 2, (0, 1, 1), 2): (7, 8)
(14, 0, 2, (0, 1, 1), 3): (3, 3)
(14, 0, 2, (0, 1, 1), 4): (1, 1)
(14, 0, 2, (1, 0, 0), 0): (93, 195)
(14, 0, 2, (1, 0, 0), 1): (23, 26)
(14, 0, 2, (1, 0, 0), 2): (8, 8)
(14, 0, 2, (1, 0, 0), 3): (6, 6)
(14, 0, 2, (1, 0, 0), 4): (4, 4)
(14, 0, 2, (1, 0, 0), 5): (1, 1)
(14, 0, 2, (1, 0, 0), 7): (1, 1)
(14, 0, 2, (1, 0, 1), 0): (31, 53)
(14, 0, 2, (1, 0, 1), 1): (11, 15)
(14, 0, 2, (1, 0, 1), 2): (6, 6)
(14, 0, 2, (1, 0, 1), 3): (3, 3)
(14, 0, 2, (1, 0, 1), 4): (1, 1)
(14, 0, 2, (1, 0, 1), 5): (1, 1)
(14, 0, 2, (1, 1, 0), 0): (39, 96)
(14, 0, 2, (1, 1, 0), 1): (24, 31)
(14, 0, 2, (1, 1, 0), 2): (6, 7)
(14, 0, 2, (1, 1, 0), 3): (3, 4)
(14, 0, 2, (1, 1, 0), 4): (5, 5)
(14, 0, 2, (1, 1, 0), 5): (2, 2)
(14, 0, 2, (1, 1, 0), 6): (2, 2)
(14, 0, 2, (1, 1, 1), 0): (14, 31)
(14, 0, 2, (1, 1, 1), 1): (18, 21)
(14, 0, 2, (1, 1, 1), 2): (5, 6)
(14, 0, 2, (1, 1, 1), 3): (1, 1)
(14, 0, 2, (1, 1, 1), 4): (1, 1)
(14, 0, 2, (1, 1, 1), 5): (1, 1)
(14, 0, 2, (1, 1, 1), 6): (1, 1)
(14, 1, 0, (0, 0, 0), -7): (0, 3)
(14, 1, 0, (0, 0, 0), -6): (0, 2)
(14, 1, 0, (0, 0, 0), -5): (0, 9)
(14, 1, 0, (0, 0, 0), -4): (0, 12)
(14, 1, 0, (0, 0, 0), -3): (2, 20)
(14, 1, 0, (0, 0, 0), -2): (6, 53)
(14, 1, 0, (0, 0, 0), -1): (21, 126)
(14, 1, 0, (0, 0, 0), 0): (425, 646)
(14, 1, 0, (0, 0, 0), 1): (13, 13)
(14, 1, 0, (0, 0, 0), 2): (1, 1)
(14, 1, 0, (0, 0, 0), 4): (1, 1)
(14, 1, 0, (0, 0, 1), -1): (0, 2)
(14, 1, 0, (0, 0, 1), 0): (5, 5)
(14, 1, 0, (0, 1, 0), -3): (0, 1)
(14, 1, 0, (0, 1, 0), -2): (0, 1)
(14, 1, 0, (0, 1, 0), -1): (3, 10)
(14, 1, 0, (0, 1, 0), 0): (32, 36)
(14, 1, 0, (0, 1, 0), 1): (1, 1)
(14, 1, 0, (0, 1, 1), -3): (0, 1)
(14, 1, 0, (0, 1, 1), -2): (0, 1)
(14, 1, 0, (0, 1, 1), -1): (2, 2)
(14, 1, 0, (0, 1, 1), 0): (7, 7)
(14, 1, 0, (0, 1, 1), 1): (2, 2)
(14, 1, 0, (1, 0, 0), -7): (0, 1)
(14, 1, 0, (1, 0, 0), -5): (0, 3)
(14, 1, 0, (1, 0, 0), -4): (0, 5)
(14, 1, 0, (1, 0, 0), -3): (2, 8)
(14, 1, 0, (1, 0, 0), -2): (4, 8)
(14, 1, 0, (1, 0, 0), -1): (13, 40)
(14, 1, 0, (1, 0, 0), 0): (143, 197)
(14, 1, 0, (1, 0, 1), -1): (1, 3)
(14, 1, 0, (1, 0, 1), 0): (11, 11)
(14, 1, 0, (1, 1, 0), -7): (0, 1)
(14, 1, 0, (1, 1, 0), -3): (0, 1)
(14, 1, 0, (1, 1, 0), -2): (2, 3)
(14, 1, 0, (1, 1, 0), -1): (5, 6)
(14, 1, 0, (1, 1, 0), 0): (26, 33)
(14, 1, 0, (1, 1, 0), 1): (1, 1)
(14, 1, 0, (1, 1, 1), -2): (1, 2)
(14, 1, 0, (1, 1, 1), -1): (4, 4)
(14, 1, 0, (1, 1, 1), 0): (17, 17)
(14, 1, 0, (1, 1, 1), 1): (7, 7)
(14, 1, 1, (0, 0, 0), -7): (0, 2)
(14, 1, 1, (0, 0, 0), -6): (0, 1)
(14, 1, 1, (0, 0, 0), -5): (0, 6)
(14, 1, 1, (0, 0, 0), -4): (0, 7)
(14, 1, 1, (0, 0, 0), -3): (0, 11)
(14, 1, 1, (0, 0, 0), -2): (2, 44)
(14, 1, 1, (0, 0, 0), -1): (6, 79)
(14, 1, 1, (0, 0, 0), 0): (250, 422)
(14, 1, 1, (0, 0, 0), 1): (8, 8)
(14, 1, 1, (0, 0, 0), 2): (2, 2)
(14, 1, 1, (0, 0, 0), 3): (2, 2)
(14, 1, 1, (0, 0, 0), 4): (1, 1)
(14, 1, 1, (0, 0, 1), -3): (0, 1)
(14, 1, 1, (0, 0, 1), -1): (3, 6)
(14, 1, 1, (0, 0, 1), 0): (20, 24)
(14, 1, 1, (0, 0, 1), 1): (1, 1)
(14, 1, 1, (0, 1, 0), -3): (0, 1)
(14, 1, 1, (0, 1, 0), -2): (1, 4)
(14, 1, 1, (0, 1, 0), -1): (3, 24)
(14, 1, 1, (0, 1, 0), 0): (83, 116)
(14, 1, 1, (0, 1, 0), 1): (4, 4)
(14, 1, 1, (0, 1, 1), -3): (0, 1)
(14, 1, 1, (0, 1, 1), -2): (1, 2)
(14, 1, 1, (0, 1, 1), -1): (3, 4)
(14, 1, 1, (0, 1, 1), 0): (21, 24)
(14, 1, 1, (0, 1, 1), 1): (4, 4)
(14, 1, 1, (1, 0, 0), -5): (0, 4)
(14, 1, 1, (1, 0, 0), -4): (0, 5)
(14, 1, 1, (1, 0, 0), -3): (2, 5)
(14, 1, 1, (1, 0, 0), -2): (3, 20)
(14, 1, 1, (1, 0, 0), -1): (5, 28)
(14, 1, 1, (1, 0, 0), 0): (112, 173)
(14, 1, 1, (1, 0, 0), 1): (12, 12)
(14, 1, 1, (1, 0, 1), -3): (1, 1)
(14, 1, 1, (1, 0, 1), -2): (1, 1)
(14, 1, 1, (1, 0, 1), -1): (1, 4)
(14, 1, 1, (1, 0, 1), 0): (31, 37)
(14, 1, 1, (1, 0, 1), 1): (3, 3)
(14, 1, 1, (1, 1, 0), -4): (0, 1)
(14, 1, 1, (1, 1, 0), -3): (1, 2)
(14, 1, 1, (1, 1, 0), -2): (3, 5)
(14, 1, 1, (1, 1, 0), -1): (3, 7)
(14, 1, 1, (1, 1, 0), 0): (73, 107)
(14, 1, 1, (1, 1, 0), 1): (25, 25)
(14, 1, 1, (1, 1, 1), -3): (1, 1)
(14, 1, 1, (1, 1, 1), -2): (3, 3)
(14, 1, 1, (1, 1, 1), -1): (3, 4)
(14, 1, 1, (1, 1, 1), 0): (43, 49)
(14, 1, 1, (1, 1, 1), 1): (24, 24)
(14, 1, 2, (0, 0, 0), -7): (0, 2)
(14, 1, 2, (0, 0, 0), -6): (0, 1)
(14, 1, 2, (0, 0, 0), -5): (0, 5)
(14, 1, 2, (0, 0, 0), -4): (0, 7)
(14, 1, 2, (0, 0, 0), -3): (0, 11)
(14, 1, 2, (0, 0, 0), -2): (0, 28)
(14, 1, 2, (0, 0, 0), -1): (1, 55)
(14, 1, 2, (0, 0, 0), 0): (172, 308)
(14, 1, 2, (0, 0, 0), 1): (9, 9)
(14, 1, 2, (0, 0, 0), 2): (6, 6)
(14, 1, 2, (0, 0, 0), 3): (3, 3)
(14, 1, 2, (0, 0, 0), 4): (1, 1)
(14, 1, 2, (0, 0, 1), -7): (0, 1)
(14, 1, 2, (0, 0, 1), -2): (0, 2)
(14, 1, 2, (0, 0, 1), -1): (1, 8)
(14, 1, 2, (0, 0, 1), 0): (15, 22)
(14, 1, 2, (0, 0, 1), 1): (1, 1)
(14, 1, 2, (0, 1, 0), -7): (0, 1)
(14, 1, 2, (0, 1, 0), -4): (0, 2)
(14, 1, 2, (0, 1, 0), -3): (0, 2)
(14, 1, 2, (0, 1, 0), -2): (0, 5)
(14, 1, 2, (0, 1, 0), -1): (1, 18)
(14, 1, 2, (0, 1, 0), 0): (58, 83)
(14, 1, 2, (0, 1, 0), 1): (4, 4)
(14, 1, 2, (0, 1, 1), -3): (0, 2)
(14, 1, 2, (0, 1, 1), -2): (0, 1)
(14, 1, 2, (0, 1, 1), -1): (2, 3)
(14, 1, 2, (0, 1, 1), 0): (24, 27)
(14, 1, 2, (0, 1, 1), 1): (1, 1)
(14, 1, 2, (1, 0, 0), -6): (0, 1)
(14, 1, 2, (1, 0, 0), -5): (0, 6)
(14, 1, 2, (1, 0, 0), -4): (0, 3)
(14, 1, 2, (1, 0, 0), -3): (0, 7)
(14, 1, 2, (1, 0, 0), -2): (0, 15)
(14, 1, 2, (1, 0, 0), -1): (3, 31)
(14, 1, 2, (1, 0, 0), 0): (94, 155)
(14, 1, 2, (1, 0, 0), 1): (20, 20)
(14, 1, 2, (1, 0, 1), -5): (0, 1)
(14, 1, 2, (1, 0, 1), -2): (0, 1)
(14, 1, 2, (1, 0, 1), -1): (2, 4)
(14, 1, 2, (1, 0, 1), 0): (23, 38)
(14, 1, 2, (1, 0, 1), 1): (2, 2)
(14, 1, 2, (1, 1, 0), -4): (0, 2)
(14, 1, 2, (1, 1, 0), -3): (0, 2)
(14, 1, 2, (1, 1, 0), -2): (1, 4)
(14, 1, 2, (1, 1, 0), -1): (1, 8)
(14, 1, 2, (1, 1, 0), 0): (64, 110)
(14, 1, 2, (1, 1, 0), 1): (31, 31)
(14, 1, 2, (1, 1, 1), -3): (0, 1)
(14, 1, 2, (1, 1, 1), -2): (2, 3)
(14, 1, 2, (1, 1, 1), -1): (3, 4)
(14, 1, 2, (1, 1, 1), 0): (30, 46)
(14, 1, 2, (1, 1, 1), 1): (21, 21)
(15, 0, 0, (0, 0, 0), 0): (232, 474)
(15, 0, 0, (0, 0, 0), 1): (105, 106)
(15, 0, 0, (0, 0, 0), 2): (49, 49)
(15, 0, 0, (0, 0, 0), 3): (14, 14)
(15, 0, 0, (0, 0, 0), 4): (11, 11)
(15, 0, 0, (0, 0, 0), 5): (8, 8)
(15, 0, 0, (0, 0, 0), 6): (2, 2)
(15, 0, 0, (0, 0, 0), 7): (2, 2)
(15, 0, 0, (0, 0, 1), 0): (4, 4)
(15, 0, 0, (0, 0, 1), 1): (2, 2)
(15, 0, 0, (0, 1, 0), 0): (24, 32)
(15, 0, 0, (0, 1, 0), 1): (2, 2)
(15, 0, 0, (0, 1, 1), 0): (3, 3)
(15, 0, 0, (1, 0, 0), 0): (79, 132)
(15, 0, 0, (1, 0, 0), 1): (2, 2)
(15, 0, 0, (1, 0, 1), 0): (9, 11)
(15, 0, 0, (1, 1, 0), 0): (16, 25)
(15, 0, 0, (1, 1, 0), 1): (3, 3)
(15, 0, 0, (1, 1, 0), 2): (1, 1)
(15, 0, 0, (1, 1, 1), 0): (5, 6)
(15, 0, 0, (1, 1, 1), 1): (1, 1)
(15, 0, 1, (0, 0, 0), 0): (127, 310)
(15, 0, 1, (0, 0, 0), 1): (10, 12)
(15, 0, 1, (0, 0, 0), 2): (7, 7)
(15, 0, 1, (0, 0, 0), 3): (1, 1)
(15, 0, 1, (0, 0, 0), 4): (2, 2)
(15, 0, 1, (0, 0, 1), 0): (9, 10)
(15, 0, 1, (0, 0, 1), 1): (5, 5)
(15, 0, 1, (0, 0, 1), 3): (1, 1)
(15, 0, 1, (0, 1, 0), 0): (45, 71)
(15, 0, 1, (0, 1, 0), 1): (9, 9)
(15, 0, 1, (0, 1, 0), 2): (4, 4)
(15, 0, 1, (0, 1, 0), 4): (1, 1)
(15, 0, 1, (0, 1, 0), 10): (1, 1)
(15, 0, 1, (0, 1, 1), 0): (13, 16)
(15, 0, 1, (0, 1, 1), 1): (4, 4)
(15, 0, 1, (0, 1, 1), 2): (3, 3)
(15, 0, 1, (0, 1, 1), 3): (2, 2)
(15, 0, 1, (1, 0, 0), 0): (59, 116)
(15, 0, 1, (1, 0, 0), 1): (7, 8)
(15, 0, 1, (1, 0, 0), 2): (5, 5)
(15, 0, 1, (1, 0, 1), 0): (14, 20)
(15, 0, 1, (1, 0, 1), 1): (9, 10)
(15, 0, 1, (1, 0, 1), 2): (4, 4)
(15, 0, 1, (1, 0, 1), 3): (2, 2)
(15, 0, 1, (1, 0, 1), 6): (1, 1)
(15, 0, 1, (1, 0, 1), 7): (1, 1)
(15, 0, 1, (1, 1, 0), 0): (27, 44)
(15, 0, 1, (1, 1, 0), 1): (10, 11)
(15, 0, 1, (1, 1, 0), 2): (7, 7)
(15, 0, 1, (1, 1, 0), 4): (1, 1)
(15, 0, 1, (1, 1, 0), 8): (1, 1)
(15, 0, 1, (1, 1, 1), 0): (18, 21)
(15, 0, 1, (1, 1, 1), 1): (7, 7)
(15, 0, 1, (1, 1, 1), 2): (1, 1)
(15, 0, 1, (1, 1, 1), 3): (1, 1)
(15, 0, 1, (1, 1, 1), 4): (1, 1)
(15, 0, 2, (0, 0, 0), 0): (81, 235)
(15, 0, 2, (0, 0, 0), 1): (13, 15)
(15, 0, 2, (0, 0, 0), 2): (5, 5)
(15, 0, 2, (0, 0, 0), 3): (3, 3)
(15, 0, 2, (0, 0, 0), 4): (2, 2)
(15, 0, 2, (0, 0, 0), 6): (1, 1)
(15, 0, 2, (0, 0, 1), 0): (12, 21)
(15, 0, 2, (0, 0, 1), 1): (3, 3)
(15, 0, 2, (0, 0, 1), 2): (1, 1)
(15, 0, 2, (0, 0, 1), 3): (1, 1)
(15, 0, 2, (0, 0, 1), 4): (1, 1)
(15, 0, 2, (0, 0, 1), 5): (1, 1)
(15, 0, 2, (0, 1, 0), 0): (27, 58)
(15, 0, 2, (0, 1, 0), 1): (14, 16)
(15, 0, 2, (0, 1, 0), 2): (7, 9)
(15, 0, 2, (0, 1, 0), 3): (4, 6)
(15, 0, 2, (0, 1, 0), 4): (1, 1)
(15, 0, 2, (0, 1, 0), 10): (1, 1)
(15, 0, 2, (0, 1, 0), 11): (1, 1)
(15, 0, 2, (0, 1, 1), 0): (8, 14)
(15, 0, 2, (0, 1, 1), 1): (8, 9)
(15, 0, 2, (0, 1, 1), 2): (6, 6)
(15, 0, 2, (0, 1, 1), 3): (1, 1)
(15, 0, 2, (1, 0, 0), 0): (46, 112)
(15, 0, 2, (1, 0, 0), 1): (9, 11)
(15, 0, 2, (1, 0, 0), 2): (8, 9)
(15, 0, 2, (1, 0, 0), 3): (2, 3)
(15, 0, 2, (1, 0, 0), 4): (1, 1)
(15, 0, 2, (1, 0, 0), 5): (1, 1)
(15, 0, 2, (1, 0, 0), 12): (1, 1)
(15, 0, 2, (1, 0, 1), 0): (14, 26)
(15, 0, 2, (1, 0, 1), 1): (10, 13)
(15, 0, 2, (1, 0, 1), 2): (7, 8)
(15, 0, 2, (1, 0, 1), 3): (4, 5)
(15, 0, 2, (1, 0, 1), 4): (1, 1)
(15, 0, 2, (1, 0, 1), 5): (1, 1)
(15, 0, 2, (1, 1, 0), 0): (21, 57)
(15, 0, 2, (1, 1, 0), 1): (20, 21)
(15, 0, 2, (1, 1, 0), 2): (4, 4)
(15, 0, 2, (1, 1, 0), 3): (2, 3)
(15, 0, 2, (1, 1, 1), 0): (8, 15)
(15, 0, 2, (1, 1, 1), 1): (10, 12)
(15, 0, 2, (1, 1, 1), 2): (6, 6)
(15, 0, 2, (1, 1, 1), 3): (1, 1)
(15, 1, 0, (0, 0, 0), -12): (0, 1)
(15, 1, 0, (0, 0, 0), -6): (0, 1)
(15, 1, 0, (0, 0, 0), -5): (0, 3)
(15, 1, 0, (0, 0, 0), -4): (0, 4)
(15, 1, 0, (0, 0, 0), -3): (2, 18)
(15, 1, 0, (0, 0, 0), -2): (3, 37)
(15, 1, 0, (0, 0, 0), -1): (7, 59)
(15, 1, 0, (0, 0, 0), 0): (231, 353)
(15, 1, 0, (0, 0, 0), 1): (6, 6)
(15, 1, 0, (0, 0, 1), 0): (5, 6)
(15, 1, 0, (0, 0, 1), 1): (1, 1)
(15, 1, 0, (0, 1, 0), -4): (0, 1)
(15, 1, 0, (0, 1, 0), -1): (3, 5)
(15, 1, 0, (0, 1, 0), 0): (11, 19)
(15, 1, 0, (0, 1, 0), 1): (1, 1)
(15, 1, 0, (0, 1, 1), -3): (1, 1)
(15, 1, 0, (0, 1, 1), -2): (1, 1)
(15, 1, 0, (0, 1, 1), 0): (3, 3)
(15, 1, 0, (1, 0, 0), -4): (0, 1)
(15, 1, 0, (1, 0, 0), -3): (1, 5)
(15, 1, 0, (1, 0, 0), -2): (3, 10)
(15, 1, 0, (1, 0, 0), -1): (2, 14)
(15, 1, 0, (1, 0, 0), 0): (82, 110)
(15, 1, 0, (1, 0, 0), 1): (1, 1)
(15, 1, 0, (1, 0, 1), -1): (0, 1)
(15, 1, 0, (1, 0, 1), 0): (6, 6)
(15, 1, 0, (1, 1, 0), -3): (0, 1)
(15, 1, 0, (1, 1, 0), -2): (2, 2)
(15, 1, 0, (1, 1, 0), 0): (11, 13)
(15, 1, 0, (1, 1, 0), 1): (4, 4)
(15, 1, 0, (1, 1, 1), 0): (7, 7)
(15, 1, 0, (1, 1, 1), 1): (1, 1)
(15, 1, 1, (0, 0, 0), -12): (0, 1)
(15, 1, 1, (0, 0, 0), -6): (0, 1)
(15, 1, 1, (0, 0, 0), -5): (0, 3)
(15, 1, 1, (0, 0, 0), -4): (0, 2)
(15, 1, 1, (0, 0, 0), -3): (1, 13)
(15, 1, 1, (0, 0, 0), -2): (0, 26)
(15, 1, 1, (0, 0, 0), -1): (2, 41)
(15, 1, 1, (0, 0, 0), 0): (133, 227)
(15, 1, 1, (0, 0, 0), 1): (1, 1)
(15, 1, 1, (0, 0, 0), 2): (2, 2)
(15, 1, 1, (0, 0, 0), 3): (1, 1)
(15, 1, 1, (0, 0, 1), -2): (1, 1)
(15, 1, 1, (0, 0, 1), -1): (2, 3)
(15, 1, 1, (0, 0, 1), 0): (11, 13)
(15, 1, 1, (0, 0, 1), 1): (1, 1)
(15, 1, 1, (0, 1, 0), -6): (0, 1)
(15, 1, 1, (0, 1, 0), -5): (0, 1)
(15, 1, 1, (0, 1, 0), -4): (0, 1)
(15, 1, 1, (0, 1, 0), -3): (0, 1)
(15, 1, 1, (0, 1, 0), -2): (0, 3)
(15, 1, 1, (0, 1, 0), -1): (2, 11)
(15, 1, 1, (0, 1, 0), 0): (54, 80)
(15, 1, 1, (0, 1, 0), 1): (3, 3)
(15, 1, 1, (0, 1, 1), -4): (0, 1)
(15, 1, 1, (0, 1, 1), -2): (0, 1)
(15, 1, 1, (0, 1, 1), 0): (2, 3)
(15, 1, 1, (0, 1, 1), 1): (2, 2)
(15, 1, 1, (1, 0, 0), -6): (0, 1)
(15, 1, 1, (1, 0, 0), -4): (0, 2)
(15, 1, 1, (1, 0, 0), -3): (0, 7)
(15, 1, 1, (1, 0, 0), -2): (1, 14)
(15, 1, 1, (1, 0, 0), -1): (0, 15)
(15, 1, 1, (1, 0, 0), 0): (55, 84)
(15, 1, 1, (1, 0, 0), 1): (6, 6)
(15, 1, 1, (1, 0, 1), -2): (0, 1)
(15, 1, 1, (1, 0, 1), -1): (1, 2)
(15, 1, 1, (1, 0, 1), 0): (14, 17)
(15, 1, 1, (1, 0, 1), 1): (1, 1)
(15, 1, 1, (1, 1, 0), -3): (0, 4)
(15, 1, 1, (1, 1, 0), -2): (1, 6)
(15, 1, 1, (1, 1, 0), -1): (0, 5)
(15, 1, 1, (1, 1, 0), 0): (40, 53)
(15, 1, 1, (1, 1, 0), 1): (16, 16)
(15, 1, 1, (1, 1, 1), -2): (0, 2)
(15, 1, 1, (1, 1, 1), -1): (1, 1)
(15, 1, 1, (1, 1, 1), 0): (13, 17)
(15, 1, 1, (1, 1, 1), 1): (4, 4)
(15, 1, 2, (0, 0, 0), -12): (0, 1)
(15, 1, 2, (0, 0, 0), -5): (0, 2)
(15, 1, 2, (0, 0, 0), -4): (0, 1)
(15, 1, 2, (0, 0, 0), -3): (1, 8)
(15, 1, 2, (0, 0, 0), -2): (0, 18)
(15, 1, 2, (0, 0, 0), -1): (3, 32)
(15, 1, 2, (0, 0, 0), 0): (100, 173)
(15, 1, 2, (0, 0, 0), 1): (9, 9)
(15, 1, 2, (0, 0, 0), 2): (3, 3)
(15, 1, 2, (0, 0, 0), 3): (2, 2)
(15, 1, 2, (0, 0, 1), -1): (2, 7)
(15, 1, 2, (0, 0, 1), 0): (10, 17)
(15, 1, 2, (0, 0, 1), 1): (1, 1)
(15, 1, 2, (0, 1, 0), -6): (0, 1)
(15, 1, 2, (0, 1, 0), -5): (0, 1)
(15, 1, 2, (0, 1, 0), -4): (0, 1)
(15, 1, 2, (0, 1, 0), -3): (0, 1)
(15, 1, 2, (0, 1, 0), -2): (0, 4)
(15, 1, 2, (0, 1, 0), -1): (0, 8)
(15, 1, 2, (0, 1, 0), 0): (29, 43)
(15, 1, 2, (0, 1, 0), 1): (4, 4)
(15, 1, 2, (0, 1, 1), -4): (0, 1)
(15, 1, 2, (0, 1, 1), -3): (0, 1)
(15, 1, 2, (0, 1, 1), -2): (1, 1)
(15, 1, 2, (0, 1, 1), -1): (0, 1)
(15, 1, 2, (0, 1, 1), 0): (13, 14)
(15, 1, 2, (1, 0, 0), -5): (0, 1)
(15, 1, 2, (1, 0, 0), -4): (0, 1)
(15, 1, 2, (1, 0, 0), -3): (1, 8)
(15, 1, 2, (1, 0, 0), -2): (1, 12)
(15, 1, 2, (1, 0, 0), -1): (3, 18)
(15, 1, 2, (1, 0, 0), 0): (46, 84)
(15, 1, 2, (1, 0, 0), 1): (5, 5)
(15, 1, 2, (1, 0, 1), -2): (1, 2)
(15, 1, 2, (1, 0, 1), -1): (2, 4)
(15, 1, 2, (1, 0, 1), 0): (16, 26)
(15, 1, 2, (1, 0, 1), 1): (4, 4)
(15, 1, 2, (1, 1, 0), -6): (0, 1)
(15, 1, 2, (1, 1, 0), -5): (0, 1)
(15, 1, 2, (1, 1, 0), -3): (1, 4)
(15, 1, 2, (1, 1, 0), -2): (1, 5)
(15, 1, 2, (1, 1, 0), -1): (1, 11)
(15, 1, 2, (1, 1, 0), 0): (38, 52)
(15, 1, 2, (1, 1, 0), 1): (16, 16)
(15, 1, 2, (1, 1, 1), -2): (1, 3)
(15, 1, 2, (1, 1, 1), -1): (1, 2)
(15, 1, 2, (1, 1, 1), 0): (19, 29)
(15, 1, 2, (1, 1, 1), 1): (11, 11)
(16, 0, 0, (0, 0, 0), 0): (126, 262)
(16, 0, 0, (0, 0, 0), 1): (59, 59)
(16, 0, 0, (0, 0, 0), 2): (29, 29)
(16, 0, 0, (0, 0, 0), 3): (15, 15)
(16, 0, 0, (0, 0, 0), 4): (3, 3)
(16, 0, 0, (0, 0, 0), 5): (4, 4)
(16, 0, 0, (0, 0, 0), 12): (1, 1)
(16, 0, 0, (0, 0, 1), 0): (2, 2)
(16, 0, 0, (0, 1, 0), 0): (8, 12)
(16, 0, 0, (0, 1, 1), 0): (2, 3)
(16, 0, 0, (1, 0, 0), 0): (34, 61)
(16, 0, 0, (1, 0, 0), 2): (1, 1)
(16, 0, 0, (1, 0, 1), 0): (3, 3)
(16, 0, 0, (1, 1, 0), 0): (8, 11)
(16, 0, 0, (1, 1, 0), 2): (1, 1)
(16, 0, 0, (1, 1, 0), 3): (1, 1)
(16, 0, 0, (1, 1, 1), 0): (3, 3)
(16, 0, 0, (1, 1, 1), 1): (2, 2)
(16, 0, 0, (1, 1, 1), 3): (1, 1)
(16, 0, 0, (1, 1, 1), 4): (1, 1)
(16, 0, 1, (0, 0, 0), 0): (82, 189)
(16, 0, 1, (0, 0, 0), 1): (9, 10)
(16, 0, 1, (0, 0, 0), 2): (1, 1)
(16, 0, 1, (0, 0, 0), 3): (2, 2)
(16, 0, 1, (0, 0, 1), 0): (5, 6)
(16, 0, 1, (0, 0, 1), 1): (1, 1)
(16, 0, 1, (0, 0, 1), 2): (1, 1)
(16, 0, 1, (0, 0, 1), 3): (1, 1)
(16, 0, 1, (0, 0, 1), 4): (1, 1)
(16, 0, 1, (0, 0, 1), 5): (1, 1)
(16, 0, 1, (0, 1, 0), 0): (20, 39)
(16, 0, 1, (0, 1, 0), 1): (2, 6)
(16, 0, 1, (0, 1, 0), 2): (1, 1)
(16, 0, 1, (0, 1, 0), 3): (1, 1)
(16, 0, 1, (0, 1, 0), 4): (1, 1)
(16, 0, 1, (0, 1, 1), 0): (7, 10)
(16, 0, 1, (0, 1, 1), 1): (1, 1)
(16, 0, 1, (0, 1, 1), 2): (1, 1)
(16, 0, 1, (1, 0, 0), 0): (28, 65)
(16, 0, 1, (1, 0, 0), 1): (6, 7)
(16, 0, 1, (1, 0, 0), 2): (1, 1)
(16, 0, 1, (1, 0, 1), 0): (8, 16)
(16, 0, 1, (1, 0, 1), 1): (2, 2)
(16, 0, 1, (1, 0, 1), 2): (1, 1)
(16, 0, 1, (1, 0, 1), 3): (1, 1)
(16, 0, 1, (1, 0, 1), 5): (1, 1)
(16, 0, 1, (1, 1, 0), 0): (15, 25)
(16, 0, 1, (1, 1, 0), 1): (8, 9)
(16, 0, 1, (1, 1, 0), 2): (3, 3)
(16, 0, 1, (1, 1, 0), 4): (1, 1)
(16, 0, 1, (1, 1, 1), 0): (8, 10)
(16, 0, 1, (1, 1, 1), 1): (4, 4)
(16, 0, 1, (1, 1, 1), 2): (1, 1)
(16, 0, 2, (0, 0, 0), 0): (55, 134)
(16, 0, 2, (0, 0, 0), 1): (6, 6)
(16, 0, 2, (0, 0, 0), 2): (2, 2)
(16, 0, 2, (0, 0, 0), 3): (1, 1)
(16, 0, 2, (0, 0, 1), 0): (1, 4)
(16, 0, 2, (0, 0, 1), 1): (2, 3)
(16, 0, 2, (0, 0, 1), 2): (1, 1)
(16, 0, 2, (0, 0, 1), 3): (2, 2)
(16, 0, 2, (0, 0, 1), 4): (1, 1)
(16, 0, 2, (0, 0, 1), 5): (1, 1)
(16, 0, 2, (0, 1, 0), 0): (16, 31)
(16, 0, 2, (0, 1, 0), 1): (6, 11)
(16, 0, 2, (0, 1, 0), 2): (3, 3)
(16, 0, 2, (0, 1, 0), 3): (2, 2)
(16, 0, 2, (0, 1, 0), 4): (1, 1)
(16, 0, 2, (0, 1, 0), 5): (1, 1)
(16, 0, 2, (0, 1, 1), 0): (2, 4)
(16, 0, 2, (0, 1, 1), 1): (2, 2)
(16, 0, 2, (0, 1, 1), 2): (3, 3)
(16, 0, 2, (0, 1, 1), 4): (1, 1)
(16, 0, 2, (1, 0, 0), 0): (29, 77)
(16, 0, 2, (1, 0, 0), 1): (12, 13)
(16, 0, 2, (1, 0, 0), 2): (2, 2)
(16, 0, 2, (1, 0, 0), 3): (1, 1)
(16, 0, 2, (1, 0, 0), 4): (1, 1)
(16, 0, 2, (1, 0, 1), 0): (4, 11)
(16, 0, 2, (1, 0, 1), 1): (5, 5)
(16, 0, 2, (1, 0, 1), 2): (4, 4)
(16, 0, 2, (1, 0, 1), 3): (1, 1)
(16, 0, 2, (1, 0, 1), 4): (1, 1)
(16, 0, 2, (1, 0, 1), 5): (1, 1)
(16, 0, 2, (1, 1, 0), 0): (13, 29)
(16, 0, 2, (1, 1, 0), 1): (12, 14)
(16, 0, 2, (1, 1, 0), 2): (8, 8)
(16, 0, 2, (1, 1, 0), 3): (2, 2)
(16, 0, 2, (1, 1, 0), 4): (1, 1)
(16, 0, 2, (1, 1, 0), 5): (1, 1)
(16, 0, 2, (1, 1, 1), 0): (8, 15)
(16, 0, 2, (1, 1, 1), 1): (1, 1)
(16, 0, 2, (1, 1, 1), 2): (1, 1)
(16, 1, 0, (0, 0, 0), -5): (0, 5)
(16, 1, 0, (0, 0, 0), -4): (0, 3)
(16, 1, 0, (0, 0, 0), -3): (0, 6)
(16, 1, 0, (0, 0, 0), -2): (0, 15)
(16, 1, 0, (0, 0, 0), -1): (9, 37)
(16, 1, 0, (0, 0, 0), 0): (128, 197)
(16, 1, 0, (0, 0, 0), 1): (2, 2)
(16, 1, 0, (0, 0, 1), -1): (0, 1)
(16, 1, 0, (0, 0, 1), 0): (4, 4)
(16, 1, 0, (0, 1, 0), -4): (0, 1)
(16, 1, 0, (0, 1, 0), -3): (0, 1)
(16, 1, 0, (0, 1, 0), -1): (1, 2)
(16, 1, 0, (0, 1, 0), 0): (11, 13)
(16, 1, 0, (0, 1, 0), 1): (2, 2)
(16, 1, 0, (0, 1, 1), 0): (0, 1)
(16, 1, 0, (0, 1, 1), 1): (1, 1)
(16, 1, 0, (1, 0, 0), -3): (0, 3)
(16, 1, 0, (1, 0, 0), -2): (0, 4)
(16, 1, 0, (1, 0, 0), -1): (3, 9)
(16, 1, 0, (1, 0, 0), 0): (42, 57)
(16, 1, 0, (1, 0, 0), 1): (1, 1)
(16, 1, 0, (1, 0, 1), -1): (0, 1)
(16, 1, 0, (1, 0, 1), 0): (4, 5)
(16, 1, 0, (1, 1, 0), -2): (0, 1)
(16, 1, 0, (1, 1, 0), 0): (11, 12)
(16, 1, 0, (1, 1, 0), 1): (4, 4)
(16, 1, 0, (1, 1, 1), 0): (2, 4)
(16, 1, 1, (0, 0, 0), -5): (0, 5)
(16, 1, 1, (0, 0, 0), -4): (0, 2)
(16, 1, 1, (0, 0, 0), -3): (0, 3)
(16, 1, 1, (0, 0, 0), -2): (0, 11)
(16, 1, 1, (0, 0, 0), -1): (4, 27)
(16, 1, 1, (0, 0, 0), 0): (77, 130)
(16, 1, 1, (0, 0, 0), 1): (7, 7)
(16, 1, 1, (0, 0, 0), 2): (1, 1)
(16, 1, 1, (0, 0, 0), 3): (2, 2)
(16, 1, 1, (0, 0, 1), -3): (0, 1)
(16, 1, 1, (0, 0, 1), 0): (8, 8)
(16, 1, 1, (0, 1, 0), -4): (0, 1)
(16, 1, 1, (0, 1, 0), -3): (0, 1)
(16, 1, 1, (0, 1, 0), -2): (0, 2)
(16, 1, 1, (0, 1, 0), -1): (3, 5)
(16, 1, 1, (0, 1, 0), 0): (22, 28)
(16, 1, 1, (0, 1, 0), 1): (1, 1)
(16, 1, 1, (0, 1, 1), -2): (0, 1)
(16, 1, 1, (0, 1, 1), 0): (5, 7)
(16, 1, 1, (0, 1, 1), 1): (1, 1)
(16, 1, 1, (1, 0, 0), -5): (0, 2)
(16, 1, 1, (1, 0, 0), -3): (0, 4)
(16, 1, 1, (1, 0, 0), -2): (0, 1)
(16, 1, 1, (1, 0, 0), -1): (3, 13)
(16, 1, 1, (1, 0, 0), 0): (29, 43)
(16, 1, 1, (1, 0, 0), 1): (3, 3)
(16, 1, 1, (1, 0, 1), -1): (0, 1)
(16, 1, 1, (1, 0, 1), 0): (10, 10)
(16, 1, 1, (1, 1, 0), -5): (0, 1)
(16, 1, 1, (1, 1, 0), -2): (0, 1)
(16, 1, 1, (1, 1, 0), -1): (2, 3)
(16, 1, 1, (1, 1, 0), 0): (21, 26)
(16, 1, 1, (1, 1, 0), 1): (10, 10)
(16, 1, 1, (1, 1, 1), -1): (0, 1)
(16, 1, 1, (1, 1, 1), 0): (9, 14)
(16, 1, 1, (1, 1, 1), 1): (3, 3)
(16, 1, 2, (0, 0, 0), -5): (0, 3)
(16, 1, 2, (0, 0, 0), -4): (0, 2)
(16, 1, 2, (0, 0, 0), -3): (0, 2)
(16, 1, 2, (0, 0, 0), -2): (0, 12)
(16, 1, 2, (0, 0, 0), -1): (1, 18)
(16, 1, 2, (0, 0, 0), 0): (55, 101)
(16, 1, 2, (0, 0, 0), 1): (3, 3)
(16, 1, 2, (0, 0, 0), 2): (1, 1)
(16, 1, 2, (0, 0, 1), -3): (0, 1)
(16, 1, 2, (0, 0, 1), -1): (0, 1)
(16, 1, 2, (0, 0, 1), 0): (3, 5)
(16, 1, 2, (0, 1, 0), -2): (0, 1)
(16, 1, 2, (0, 1, 0), -1): (0, 7)
(16, 1, 2, (0, 1, 0), 0): (12, 22)
(16, 1, 2, (0, 1, 0), 1): (2, 2)
(16, 1, 2, (0, 1, 1), -3): (0, 1)
(16, 1, 2, (0, 1, 1), -1): (0, 1)
(16, 1, 2, (0, 1, 1), 0): (4, 5)
(16, 1, 2, (1, 0, 0), -3): (0, 4)
(16, 1, 2, (1, 0, 0), -2): (0, 2)
(16, 1, 2, (1, 0, 0), -1): (1, 10)
(16, 1, 2, (1, 0, 0), 0): (31, 46)
(16, 1, 2, (1, 0, 0), 1): (3, 3)
(16, 1, 2, (1, 0, 1), -1): (1, 2)
(16, 1, 2, (1, 0, 1), 0): (8, 12)
(16, 1, 2, (1, 0, 1), 1): (1, 1)
(16, 1, 2, (1, 1, 0), -5): (0, 1)
(16, 1, 2, (1, 1, 0), -3): (0, 2)
(16, 1, 2, (1, 1, 0), -2): (0, 2)
(16, 1, 2, (1, 1, 0), -1): (0, 3)
(16, 1, 2, (1, 1, 0), 0): (19, 29)
(16, 1, 2, (1, 1, 0), 1): (13, 13)
(16, 1, 2, (1, 1, 1), 0): (5, 12)
(16, 1, 2, (1, 1, 1), 1): (3, 3)
(17, 0, 0, (0, 0, 0), 0): (71, 143)
(17, 0, 0, (0, 0, 0), 1): (29, 29)
(17, 0, 0, (0, 0, 0), 2): (16, 16)
(17, 0, 0, (0, 0, 0), 3): (4, 4)
(17, 0, 0, (0, 0, 0), 4): (2, 2)
(17, 0, 0, (0, 0, 0), 5): (5, 5)
(17, 0, 0, (0, 0, 1), 0): (1, 1)
(17, 0, 0, (0, 1, 0), 0): (6, 7)
(17, 0, 0, (0, 1, 0), 2): (1, 1)
(17, 0, 0, (0, 1, 1), 0): (1, 1)
(17, 0, 0, (1, 0, 0), 0): (21, 35)
(17, 0, 0, (1, 0, 1), 0): (2, 2)
(17, 0, 0, (1, 0, 1), 1): (1, 1)
(17, 0, 0, (1, 1, 0), 0): (4, 5)
(17, 0, 0, (1, 1, 1), 1): (1, 1)
(17, 0, 0, (1, 1, 1), 2): (1, 1)
(17, 0, 1, (0, 0, 0), 0): (42, 99)
(17, 0, 1, (0, 0, 0), 1): (1, 1)
(17, 0, 1, (0, 0, 0), 2): (1, 1)
(17, 0, 1, (0, 0, 0), 3): (2, 2)
(17, 0, 1, (0, 0, 0), 4): (1, 1)
(17, 0, 1, (0, 0, 1), 0): (1, 2)
(17, 0, 1, (0, 0, 1), 1): (1, 1)
(17, 0, 1, (0, 0, 1), 2): (2, 2)
(17, 0, 1, (0, 1, 0), 0): (19, 26)
(17, 0, 1, (0, 1, 0), 1): (1, 1)
(17, 0, 1, (0, 1, 0), 2): (1, 1)
(17, 0, 1, (0, 1, 0), 3): (1, 1)
(17, 0, 1, (0, 1, 1), 0): (1, 1)
(17, 0, 1, (1, 0, 0), 0): (21, 43)
(17, 0, 1, (1, 0, 0), 2): (1, 1)
(17, 0, 1, (1, 0, 0), 3): (1, 1)
(17, 0, 1, (1, 0, 1), 0): (7, 8)
(17, 0, 1, (1, 0, 1), 1): (3, 3)
(17, 0, 1, (1, 0, 1), 2): (1, 1)
(17, 0, 1, (1, 0, 1), 3): (1, 1)
(17, 0, 1, (1, 1, 0), 0): (12, 15)
(17, 0, 1, (1, 1, 0), 1): (3, 3)
(17, 0, 1, (1, 1, 1), 0): (2, 2)
(17, 0, 1, (1, 1, 1), 1): (3, 3)
(17, 0, 2, (0, 0, 0), 0): (28, 74)
(17, 0, 2, (0, 0, 0), 1): (3, 3)
(17, 0, 2, (0, 0, 0), 2): (2, 2)
(17, 0, 2, (0, 0, 0), 3): (1, 1)
(17, 0, 2, (0, 0, 0), 4): (1, 1)
(17, 0, 2, (0, 0, 1), 0): (2, 5)
(17, 0, 2, (0, 0, 1), 1): (1, 1)
(17, 0, 2, (0, 0, 1), 2): (1, 1)
(17, 0, 2, (0, 1, 0), 0): (10, 21)
(17, 0, 2, (0, 1, 0), 1): (3, 3)
(17, 0, 2, (0, 1, 0), 2): (2, 2)
(17, 0, 2, (0, 1, 0), 3): (1, 1)
(17, 0, 2, (0, 1, 0), 4): (2, 2)
(17, 0, 2, (0, 1, 0), 5): (1, 1)
(17, 0, 2, (0, 1, 1), 0): (3, 4)
(17, 0, 2, (0, 1, 1), 2): (1, 1)
(17, 0, 2, (1, 0, 0), 0): (14, 36)
(17, 0, 2, (1, 0, 0), 1): (5, 6)
(17, 0, 2, (1, 0, 0), 2): (3, 3)
(17, 0, 2, (1, 0, 0), 3): (2, 2)
(17, 0, 2, (1, 0, 0), 5): (1, 1)
(17, 0, 2, (1, 0, 1), 0): (5, 6)
(17, 0, 2, (1, 0, 1), 1): (1, 1)
(17, 0, 2, (1, 0, 1), 2): (4, 4)
(17, 0, 2, (1, 1, 0), 0): (13, 22)
(17, 0, 2, (1, 1, 0), 1): (6, 7)
(17, 0, 2, (1, 1, 0), 2): (3, 3)
(17, 0, 2, (1, 1, 0), 3): (1, 1)
(17, 0, 2, (1, 1, 1), 0): (4, 4)
(17, 0, 2, (1, 1, 1), 1): (3, 3)
(17, 0, 2, (1, 1, 1), 2): (1, 1)
(17, 0, 2, (1, 1, 1), 3): (1, 1)
(17, 1, 0, (0, 0, 0), -5): (0, 1)
(17, 1, 0, (0, 0, 0), -4): (0, 2)
(17, 1, 0, (0, 0, 0), -3): (0, 6)
(17, 1, 0, (0, 0, 0), -2): (0, 10)
(17, 1, 0, (0, 0, 0), -1): (1, 15)
(17, 1, 0, (0, 0, 0), 0): (71, 110)
(17, 1, 0, (0, 0, 1), -5): (0, 1)
(17, 1, 0, (0, 0, 1), 0): (2, 2)
(17, 1, 0, (0, 1, 0), 0): (1, 3)
(17, 1, 0, (0, 1, 1), -3): (0, 1)
(17, 1, 0, (1, 0, 0), -4): (0, 1)
(17, 1, 0, (1, 0, 0), -3): (0, 2)
(17, 1, 0, (1, 0, 0), -2): (0, 3)
(17, 1, 0, (1, 0, 0), -1): (1, 4)
(17, 1, 0, (1, 0, 0), 0): (22, 29)
(17, 1, 0, (1, 0, 1), 0): (2, 3)
(17, 1, 0, (1, 1, 0), -3): (0, 1)
(17, 1, 0, (1, 1, 0), -2): (0, 1)
(17, 1, 0, (1, 1, 0), 0): (4, 4)
(17, 1, 0, (1, 1, 0), 1): (1, 1)
(17, 1, 0, (1, 1, 1), 0): (2, 3)
(17, 1, 1, (0, 0, 0), -4): (0, 2)
(17, 1, 1, (0, 0, 0), -3): (0, 5)
(17, 1, 1, (0, 0, 0), -2): (0, 8)
(17, 1, 1, (0, 0, 0), -1): (0, 11)
(17, 1, 1, (0, 0, 0), 0): (46, 76)
(17, 1, 1, (0, 0, 0), 1): (3, 3)
(17, 1, 1, (0, 0, 1), 0): (1, 3)
(17, 1, 1, (0, 0, 1), 1): (1, 1)
(17, 1, 1, (0, 1, 0), -2): (0, 2)
(17, 1, 1, (0, 1, 0), -1): (1, 2)
(17, 1, 1, (0, 1, 0), 0): (18, 21)
(17, 1, 1, (0, 1, 1), 0): (1, 1)
(17, 1, 1, (1, 0, 0), -4): (0, 1)
(17, 1, 1, (1, 0, 0), -2): (0, 1)
(17, 1, 1, (1, 0, 0), -1): (0, 1)
(17, 1, 1, (1, 0, 0), 0): (19, 27)
(17, 1, 1, (1, 0, 0), 1): (3, 3)
(17, 1, 1, (1, 0, 1), 0): (3, 4)
(17, 1, 1, (1, 1, 0), -2): (0, 1)
(17, 1, 1, (1, 1, 0), -1): (1, 1)
(17, 1, 1, (1, 1, 0), 0): (13, 15)
(17, 1, 1, (1, 1, 0), 1): (7, 7)
(17, 1, 1, (1, 1, 1), -2): (0, 1)
(17, 1, 1, (1, 1, 1), -1): (0, 1)
(17, 1, 1, (1, 1, 1), 0): (5, 6)
(17, 1, 1, (1, 1, 1), 1): (3, 3)
(17, 1, 2, (0, 0, 0), -4): (0, 1)
(17, 1, 2, (0, 0, 0), -3): (0, 4)
(17, 1, 2, (0, 0, 0), -2): (0, 8)
(17, 1, 2, (0, 0, 0), -1): (0, 12)
(17, 1, 2, (0, 0, 0), 0): (30, 56)
(17, 1, 2, (0, 0, 0), 1): (3, 3)
(17, 1, 2, (0, 0, 0), 2): (2, 2)
(17, 1, 2, (0, 0, 1), 0): (2, 4)
(17, 1, 2, (0, 1, 0), -2): (0, 2)
(17, 1, 2, (0, 1, 0), -1): (0, 2)
(17, 1, 2, (0, 1, 0), 0): (11, 13)
(17, 1, 2, (0, 1, 0), 1): (1, 1)
(17, 1, 2, (0, 1, 1), 0): (2, 4)
(17, 1, 2, (0, 1, 1), 1): (1, 1)
(17, 1, 2, (1, 0, 0), -4): (0, 1)
(17, 1, 2, (1, 0, 0), -3): (0, 2)
(17, 1, 2, (1, 0, 0), -2): (0, 2)
(17, 1, 2, (1, 0, 0), -1): (0, 3)
(17, 1, 2, (1, 0, 0), 0): (7, 18)
(17, 1, 2, (1, 0, 0), 1): (4, 4)
(17, 1, 2, (1, 0, 1), 0): (2, 3)
(17, 1, 2, (1, 1, 0), -1): (0, 2)
(17, 1, 2, (1, 1, 0), 0): (8, 11)
(17, 1, 2, (1, 1, 0), 1): (4, 4)
(17, 1, 2, (1, 1, 1), -1): (0, 1)
(17, 1, 2, (1, 1, 1), 0): (0, 3)
(18, 0, 0, (0, 0, 0), 0): (39, 78)
(18, 0, 0, (0, 0, 0), 1): (17, 17)
(18, 0, 0, (0, 0, 0), 2): (11, 11)
(18, 0, 0, (0, 0, 0), 3): (3, 3)
(18, 0, 0, (0, 0, 0), 4): (2, 2)
(18, 0, 0, (0, 1, 0), 0): (3, 6)
(18, 0, 0, (0, 1, 1), 0): (1, 1)
(18, 0, 0, (1, 0, 0), 0): (12, 21)
(18, 0, 0, (1, 0, 1), 0): (1, 1)
(18, 0, 0, (1, 0, 1), 1): (1, 1)
(18, 0, 0, (1, 1, 0), 0): (3, 3)
(18, 0, 0, (1, 1, 1), 1): (1, 1)
(18, 0, 1, (0, 0, 0), 0): (26, 57)
(18, 0, 1, (0, 0, 0), 1): (2, 2)
(18, 0, 1, (0, 0, 0), 2): (1, 1)
(18, 0, 1, (0, 0, 1), 0): (1, 4)
(18, 0, 1, (0, 0, 1), 1): (2, 2)
(18, 0, 1, (0, 1, 0), 0): (6, 9)
(18, 0, 1, (0, 1, 0), 1): (2, 3)
(18, 0, 1, (0, 1, 0), 3): (1, 1)
(18, 0, 1, (0, 1, 1), 0): (2, 2)
(18, 0, 1, (0, 1, 1), 1): (1, 1)
(18, 0, 1, (0, 1, 1), 2): (1, 1)
(18, 0, 1, (1, 0, 0), 0): (9, 22)
(18, 0, 1, (1, 0, 0), 1): (2, 2)
(18, 0, 1, (1, 0, 1), 0): (4, 6)
(18, 0, 1, (1, 0, 1), 1): (3, 3)
(18, 0, 1, (1, 1, 0), 0): (2, 6)
(18, 0, 1, (1, 1, 0), 1): (4, 4)
(18, 0, 1, (1, 1, 0), 2): (1, 1)
(18, 0, 1, (1, 1, 0), 3): (1, 1)
(18, 0, 1, (1, 1, 1), 0): (3, 3)
(18, 0, 1, (1, 1, 1), 1): (1, 1)
(18, 0, 1, (1, 1, 1), 2): (1, 1)
(18, 0, 1, (1, 1, 1), 3): (1, 1)
(18, 0, 2, (0, 0, 0), 0): (17, 39)
(18, 0, 2, (0, 0, 0), 1): (2, 2)
(18, 0, 2, (0, 0, 0), 2): (1, 1)
(18, 0, 2, (0, 0, 1), 0): (2, 4)
(18, 0, 2, (0, 1, 0), 0): (4, 7)
(18, 0, 2, (0, 1, 0), 1): (1, 2)
(18, 0, 2, (0, 1, 0), 2): (1, 1)
(18, 0, 2, (0, 1, 1), 1): (1, 1)
(18, 0, 2, (1, 0, 0), 0): (9, 21)
(18, 0, 2, (1, 0, 0), 1): (2, 2)
(18, 0, 2, (1, 0, 0), 2): (1, 1)
(18, 0, 2, (1, 0, 1), 0): (3, 3)
(18, 0, 2, (1, 0, 1), 1): (2, 2)
(18, 0, 2, (1, 0, 1), 2): (1, 1)
(18, 0, 2, (1, 1, 0), 0): (4, 10)
(18, 0, 2, (1, 1, 0), 1): (3, 3)
(18, 0, 2, (1, 1, 0), 2): (2, 2)
(18, 0, 2, (1, 1, 0), 3): (1, 1)
(18, 0, 2, (1, 1, 0), 4): (1, 1)
(18, 0, 2, (1, 1, 1), 0): (1, 1)
(18, 0, 2, (1, 1, 1), 1): (1, 1)
(18, 0, 2, (1, 1, 1), 2): (1, 1)
(18, 1, 0, (0, 0, 0), -4): (0, 1)
(18, 1, 0, (0, 0, 0), -3): (0, 1)
(18, 1, 0, (0, 0, 0), -2): (0, 4)
(18, 1, 0, (0, 0, 0), -1): (1, 14)
(18, 1, 0, (0, 0, 0), 0): (38, 59)
(18, 1, 0, (0, 0, 0), 1): (3, 3)
(18, 1, 0, (0, 0, 0), 2): (1, 1)
(18, 1, 0, (0, 1, 0), -3): (0, 1)
(18, 1, 0, (0, 1, 0), -1): (0, 1)
(18, 1, 0, (0, 1, 0), 0): (2, 5)
(18, 1, 0, (0, 1, 1), 0): (1, 1)
(18, 1, 0, (1, 0, 0), -3): (0, 1)
(18, 1, 0, (1, 0, 0), -1): (1, 3)
(18, 1, 0, (1, 0, 0), 0): (11, 13)
(18, 1, 0, (1, 0, 1), -1): (0, 1)
(18, 1, 0, (1, 0, 1), 0): (2, 3)
(18, 1, 0, (1, 0, 1), 1): (1, 1)
(18, 1, 0, (1, 1, 0), -1): (0, 1)
(18, 1, 0, (1, 1, 0), 0): (4, 4)
(18, 1, 0, (1, 1, 0), 1): (2, 2)
(18, 1, 0, (1, 1, 1), 0): (1, 1)
(18, 1, 1, (0, 0, 0), -4): (0, 1)
(18, 1, 1, (0, 0, 0), -2): (0, 4)
(18, 1, 1, (0, 0, 0), -1): (0, 10)
(18, 1, 1, (0, 0, 0), 0): (24, 41)
(18, 1, 1, (0, 0, 1), 0): (2, 3)
(18, 1, 1, (0, 1, 0), 0): (4, 5)
(18, 1, 1, (0, 1, 1), 0): (2, 3)
(18, 1, 1, (1, 0, 0), -2): (0, 1)
(18, 1, 1, (1, 0, 0), -1): (0, 2)
(18, 1, 1, (1, 0, 0), 0): (10, 14)
(18, 1, 1, (1, 0, 0), 1): (1, 1)
(18, 1, 1, (1, 0, 1), -1): (0, 1)
(18, 1, 1, (1, 0, 1), 0): (4, 5)
(18, 1, 1, (1, 1, 0), -1): (0, 1)
(18, 1, 1, (1, 1, 0), 0): (2, 4)
(18, 1, 1, (1, 1, 0), 1): (2, 2)
(18, 1, 1, (1, 1, 1), -1): (0, 1)
(18, 1, 1, (1, 1, 1), 0): (5, 7)
(18, 1, 1, (1, 1, 1), 1): (2, 2)
(18, 1, 2, (0, 0, 0), -4): (0, 1)
(18, 1, 2, (0, 0, 0), -2): (0, 3)
(18, 1, 2, (0, 0, 0), -1): (0, 9)
(18, 1, 2, (0, 0, 0), 0): (17, 32)
(18, 1, 2, (0, 0, 1), 0): (3, 3)
(18, 1, 2, (0, 1, 0), 0): (3, 6)
(18, 1, 2, (0, 1, 1), 0): (2, 2)
(18, 1, 2, (1, 0, 0), -2): (0, 2)
(18, 1, 2, (1, 0, 0), -1): (0, 4)
(18, 1, 2, (1, 0, 0), 0): (9, 13)
(18, 1, 2, (1, 0, 0), 1): (4, 4)
(18, 1, 2, (1, 0, 1), 0): (1, 1)
(18, 1, 2, (1, 0, 1), 1): (1, 1)
(18, 1, 2, (1, 1, 0), -1): (0, 1)
(18, 1, 2, (1, 1, 0), 0): (2, 4)
(18, 1, 2, (1, 1, 0), 1): (2, 2)
(18, 1, 2, (1, 1, 1), -1): (0, 1)
(18, 1, 2, (1, 1, 1), 0): (2, 4)
(18, 1, 2, (1, 1, 1), 1): (1, 1)
(19, 0, 0, (0, 0, 0), 0): (23, 42)
(19, 0, 0, (0, 0, 0), 1): (12, 12)
(19, 0, 0, (0, 0, 0), 2): (4, 4)
(19, 0, 0, (0, 0, 0), 4): (1, 1)
(19, 0, 0, (0, 0, 1), 1): (1, 1)
(19, 0, 0, (0, 1, 0), 0): (0, 2)
(19, 0, 0, (1, 0, 0), 0): (11, 18)
(19, 0, 0, (1, 0, 0), 2): (1, 1)
(19, 0, 0, (1, 1, 0), 0): (2, 2)
(19, 0, 0, (1, 1, 1), 0): (1, 1)
(19, 0, 0, (1, 1, 1), 1): (1, 1)
(19, 0, 1, (0, 0, 0), 0): (11, 22)
(19, 0, 1, (0, 0, 0), 1): (1, 1)
(19, 0, 1, (0, 0, 0), 2): (1, 1)
(19, 0, 1, (0, 0, 1), 0): (1, 1)
(19, 0, 1, (0, 1, 0), 0): (7, 9)
(19, 0, 1, (0, 1, 0), 2): (1, 1)
(19, 0, 1, (0, 1, 0), 4): (1, 1)
(19, 0, 1, (0, 1, 1), 0): (0, 2)
(19, 0, 1, (0, 1, 1), 1): (1, 1)
(19, 0, 1, (1, 0, 0), 0): (3, 8)
(19, 0, 1, (1, 1, 0), 0): (4, 5)
(19, 0, 1, (1, 1, 0), 2): (1, 1)
(19, 0, 1, (1, 1, 1), 0): (0, 1)
(19, 0, 1, (1, 1, 1), 1): (2, 2)
(19, 0, 2, (0, 0, 0), 0): (8, 20)
(19, 0, 2, (0, 0, 0), 1): (1, 1)
(19, 0, 2, (0, 0, 0), 2): (1, 1)
(19, 0, 2, (0, 0, 1), 0): (2, 2)
(19, 0, 2, (0, 0, 1), 4): (1, 1)
(19, 0, 2, (0, 1, 0), 0): (4, 6)
(19, 0, 2, (0, 1, 0), 2): (1, 1)
(19, 0, 2, (0, 1, 0), 4): (2, 2)
(19, 0, 2, (0, 1, 1), 0): (0, 1)
(19, 0, 2, (0, 1, 1), 2): (1, 1)
(19, 0, 2, (1, 0, 0), 0): (4, 13)
(19, 0, 2, (1, 0, 0), 5): (1, 1)
(19, 0, 2, (1, 0, 1), 0): (2, 3)
(19, 0, 2, (1, 0, 1), 1): (1, 1)
(19, 0, 2, (1, 0, 1), 3): (1, 1)
(19, 0, 2, (1, 1, 0), 0): (3, 6)
(19, 0, 2, (1, 1, 0), 1): (1, 1)
(19, 0, 2, (1, 1, 0), 2): (1, 1)
(19, 0, 2, (1, 1, 1), 0): (1, 2)
(19, 0, 2, (1, 1, 1), 1): (2, 2)
(19, 1, 0, (0, 0, 0), -5): (0, 1)
(19, 1, 0, (0, 0, 0), -4): (0, 2)
(19, 1, 0, (0, 0, 0), -3): (0, 1)
(19, 1, 0, (0, 0, 0), -2): (0, 2)
(19, 1, 0, (0, 0, 0), -1): (0, 3)
(19, 1, 0, (0, 0, 0), 0): (19, 33)
(19, 1, 0, (0, 0, 0), 1): (2, 2)
(19, 1, 0, (0, 0, 0), 2): (1, 1)
(19, 1, 0, (0, 1, 0), 0): (1, 1)
(19, 1, 0, (1, 0, 0), -1): (0, 3)
(19, 1, 0, (1, 0, 0), 0): (3, 3)
(19, 1, 0, (1, 1, 0), 0): (1, 1)
(19, 1, 0, (1, 1, 0), 1): (1, 1)
(19, 1, 1, (0, 0, 0), -5): (0, 1)
(19, 1, 1, (0, 0, 0), -4): (0, 2)
(19, 1, 1, (0, 0, 0), -3): (0, 1)
(19, 1, 1, (0, 0, 0), -2): (0, 2)
(19, 1, 1, (0, 0, 0), 0): (13, 27)
(19, 1, 1, (0, 0, 0), 2): (1, 1)
(19, 1, 1, (0, 1, 0), -5): (0, 1)
(19, 1, 1, (0, 1, 0), -2): (0, 1)
(19, 1, 1, (0, 1, 0), -1): (0, 2)
(19, 1, 1, (0, 1, 0), 0): (4, 4)
(19, 1, 1, (1, 0, 0), -1): (0, 1)
(19, 1, 1, (1, 0, 0), 0): (6, 9)
(19, 1, 1, (1, 1, 0), 0): (3, 4)
(19, 1, 2, (0, 0, 0), -4): (0, 2)
(19, 1, 2, (0, 0, 0), -3): (0, 1)
(19, 1, 2, (0, 0, 0), -2): (0, 1)
(19, 1, 2, (0, 0, 0), 0): (7, 18)
(19, 1, 2, (0, 0, 1), -1): (0, 1)
(19, 1, 2, (0, 1, 0), -5): (0, 1)
(19, 1, 2, (0, 1, 0), -2): (0, 1)
(19, 1, 2, (0, 1, 0), -1): (0, 1)
(19, 1, 2, (0, 1, 0), 0): (3, 5)
(19, 1, 2, (0, 1, 1), 0): (1, 1)
(19, 1, 2, (1, 0, 0), -4): (0, 2)
(19, 1, 2, (1, 0, 0), -1): (0, 1)
(19, 1, 2, (1, 0, 0), 0): (2, 10)
(19, 1, 2, (1, 0, 0), 1): (1, 1)
(19, 1, 2, (1, 0, 1), -3): (0, 1)
(19, 1, 2, (1, 0, 1), 0): (3, 3)
(19, 1, 2, (1, 1, 0), -5): (0, 1)
(19, 1, 2, (1, 1, 0), 0): (2, 7)
(19, 1, 2, (1, 1, 1), -5): (0, 1)
(19, 1, 2, (1, 1, 1), 0): (2, 2)
(19, 1, 2, (1, 1, 1), 1): (1, 1)
(20, 0, 0, (0, 0, 0), 0): (15, 27)
(20, 0, 0, (0, 0, 0), 1): (3, 3)
(20, 0, 0, (0, 0, 0), 2): (2, 2)
(20, 0, 0, (0, 0, 0), 3): (2, 2)
(20, 0, 0, (0, 0, 0), 4): (2, 2)
(20, 0, 0, (0, 1, 0), 1): (1, 1)
(20, 0, 0, (1, 0, 0), 0): (5, 6)
(20, 0, 0, (1, 0, 1), 1): (1, 1)
(20, 0, 0, (1, 1, 0), 0): (3, 3)
(20, 0, 0, (1, 1, 0), 2): (1, 1)
(20, 0, 1, (0, 0, 0), 0): (10, 22)
(20, 0, 1, (0, 0, 0), 2): (1, 1)
(20, 0, 1, (0, 0, 1), 1): (1, 1)
(20, 0, 1, (0, 1, 0), 2): (1, 1)
(20, 0, 1, (0, 1, 1), 1): (0, 1)
(20, 0, 1, (0, 1, 1), 2): (1, 1)
(20, 0, 1, (1, 0, 0), 0): (5, 8)
(20, 0, 1, (1, 0, 0), 2): (1, 1)
(20, 0, 1, (1, 0, 1), 0): (0, 2)
(20, 0, 1, (1, 1, 0), 0): (1, 1)
(20, 0, 1, (1, 1, 1), 2): (1, 1)
(20, 0, 1, (1, 1, 1), 3): (1, 1)
(20, 0, 2, (0, 0, 0), 0): (7, 16)
(20, 0, 2, (0, 0, 0), 2): (1, 1)
(20, 0, 2, (0, 0, 1), 1): (1, 1)
(20, 0, 2, (0, 0, 1), 2): (1, 1)
(20, 0, 2, (0, 1, 0), 0): (1, 2)
(20, 0, 2, (0, 1, 0), 1): (0, 1)
(20, 0, 2, (0, 1, 0), 2): (1, 1)
(20, 0, 2, (0, 1, 1), 0): (0, 1)
(20, 0, 2, (1, 0, 0), 0): (5, 6)
(20, 0, 2, (1, 0, 0), 2): (1, 1)
(20, 0, 2, (1, 0, 0), 3): (1, 1)
(20, 0, 2, (1, 0, 1), 0): (3, 4)
(20, 0, 2, (1, 0, 1), 1): (2, 2)
(20, 0, 2, (1, 1, 1), 0): (0, 1)
(20, 1, 0, (0, 0, 0), -3): (0, 2)
(20, 1, 0, (0, 0, 0), -2): (0, 2)
(20, 1, 0, (0, 0, 0), -1): (1, 3)
(20, 1, 0, (0, 0, 0), 0): (11, 20)
(20, 1, 0, (0, 0, 1), 0): (1, 1)
(20, 1, 0, (1, 0, 0), -2): (0, 1)
(20, 1, 0, (1, 0, 0), -1): (1, 1)
(20, 1, 0, (1, 0, 0), 0): (4, 5)
(20, 1, 0, (1, 0, 1), 0): (1, 1)
(20, 1, 0, (1, 1, 0), -1): (1, 1)
(20, 1, 0, (1, 1, 1), -1): (1, 1)
(20, 1, 0, (1, 1, 1), 0): (1, 1)
(20, 1, 1, (0, 0, 0), -3): (0, 2)
(20, 1, 1, (0, 0, 0), -2): (0, 1)
(20, 1, 1, (0, 0, 0), -1): (0, 2)
(20, 1, 1, (0, 0, 0), 0): (6, 14)
(20, 1, 1, (0, 1, 0), 0): (3, 3)
(20, 1, 1, (0, 1, 1), 1): (1, 1)
(20, 1, 1, (1, 0, 0), -2): (0, 1)
(20, 1, 1, (1, 0, 0), 0): (4, 7)
(20, 1, 1, (1, 0, 1), 0): (1, 1)
(20, 1, 1, (1, 1, 0), 0): (5, 5)
(20, 1, 1, (1, 1, 0), 1): (4, 4)
(20, 1, 1, (1, 1, 1), -1): (1, 1)
(20, 1, 1, (1, 1, 1), 0): (1, 1)
(20, 1, 2, (0, 0, 0), -3): (0, 2)
(20, 1, 2, (0, 0, 0), -2): (0, 2)
(20, 1, 2, (0, 0, 0), -1): (0, 2)
(20, 1, 2, (0, 0, 0), 0): (3, 9)
(20, 1, 2, (1, 0, 0), -3): (0, 1)
(20, 1, 2, (1, 0, 0), -2): (0, 2)
(20, 1, 2, (1, 0, 0), -1): (0, 1)
(20, 1, 2, (1, 0, 0), 0): (1, 5)
(20, 1, 2, (1, 0, 1), 0): (0, 1)
(20, 1, 2, (1, 1, 0), -3): (0, 1)
(20, 1, 2, (1, 1, 0), -2): (0, 1)
(20, 1, 2, (1, 1, 0), -1): (0, 1)
(20, 1, 2, (1, 1, 0), 0): (2, 2)
(20, 1, 2, (1, 1, 0), 1): (1, 1)
(20, 1, 2, (1, 1, 1), -1): (0, 1)
(21, 0, 0, (0, 0, 0), 0): (9, 15)
(21, 0, 0, (0, 0, 0), 1): (2, 2)
(21, 0, 0, (0, 0, 0), 2): (4, 4)
(21, 0, 0, (0, 1, 1), 0): (0, 1)
(21, 0, 0, (1, 0, 0), 0): (2, 3)
(21, 0, 0, (1, 1, 0), 0): (0, 1)
(21, 0, 1, (0, 0, 0), 0): (7, 12)
(21, 0, 1, (0, 0, 0), 3): (1, 1)
(21, 0, 1, (0, 0, 1), 0): (1, 1)
(21, 0, 1, (0, 1, 0), 0): (3, 3)
(21, 0, 1, (0, 1, 1), 0): (1, 2)
(21, 0, 1, (1, 0, 0), 0): (2, 2)
(21, 0, 1, (1, 0, 1), 0): (1, 1)
(21, 0, 1, (1, 1, 0), 0): (1, 1)
(21, 0, 1, (1, 1, 1), 0): (1, 1)
(21, 0, 1, (1, 1, 1), 1): (1, 1)
(21, 0, 2, (0, 0, 0), 0): (4, 9)
(21, 0, 2, (0, 0, 0), 3): (1, 2)
(21, 0, 2, (0, 1, 0), 0): (1, 1)
(21, 0, 2, (0, 1, 0), 1): (1, 1)
(21, 0, 2, (0, 1, 1), 0): (1, 1)
(21, 0, 2, (0, 1, 1), 2): (1, 1)
(21, 0, 2, (1, 0, 0), 0): (2, 4)
(21, 0, 2, (1, 0, 0), 3): (1, 1)
(21, 0, 2, (1, 0, 1), 1): (0, 1)
(21, 0, 2, (1, 1, 0), 0): (2, 5)
(21, 0, 2, (1, 1, 0), 1): (1, 1)
(21, 0, 2, (1, 1, 1), 0): (1, 1)
(21, 0, 2, (1, 1, 1), 1): (2, 2)
(21, 1, 0, (0, 0, 0), -3): (1, 2)
(21, 1, 0, (0, 0, 0), -2): (0, 1)
(21, 1, 0, (0, 0, 0), -1): (1, 3)
(21, 1, 0, (0, 0, 0), 0): (4, 9)
(21, 1, 0, (0, 1, 0), -3): (1, 1)
(21, 1, 0, (0, 1, 0), -1): (1, 1)
(21, 1, 0, (1, 0, 0), -2): (1, 1)
(21, 1, 0, (1, 0, 0), 0): (0, 2)
(21, 1, 0, (1, 1, 0), -2): (1, 1)
(21, 1, 1, (0, 0, 0), -3): (0, 1)
(21, 1, 1, (0, 0, 0), -2): (0, 1)
(21, 1, 1, (0, 0, 0), -1): (0, 2)
(21, 1, 1, (0, 0, 0), 0): (4, 7)
(21, 1, 1, (0, 0, 1), -1): (1, 1)
(21, 1, 1, (0, 1, 0), 0): (0, 3)
(21, 1, 1, (1, 0, 0), 0): (1, 1)
(21, 1, 1, (1, 1, 0), -2): (1, 1)
(21, 1, 1, (1, 1, 0), 0): (2, 3)
(21, 1, 1, (1, 1, 1), -2): (1, 1)
(21, 1, 2, (0, 0, 0), -3): (0, 1)
(21, 1, 2, (0, 0, 0), -2): (0, 1)
(21, 1, 2, (0, 0, 0), -1): (0, 2)
(21, 1, 2, (0, 0, 0), 0): (4, 6)
(21, 1, 2, (0, 0, 0), 3): (1, 1)
(21, 1, 2, (0, 1, 0), 0): (1, 3)
(21, 1, 2, (1, 0, 0), -3): (0, 1)
(21, 1, 2, (1, 0, 0), 0): (3, 4)
(21, 1, 2, (1, 0, 1), 0): (1, 1)
(21, 1, 2, (1, 1, 0), -3): (0, 1)
(21, 1, 2, (1, 1, 0), 0): (1, 2)
(22, 0, 0, (0, 0, 0), 0): (5, 10)
(22, 0, 0, (0, 0, 0), 1): (3, 3)
(22, 0, 0, (0, 0, 0), 2): (1, 1)
(22, 0, 0, (0, 0, 0), 3): (1, 1)
(22, 0, 0, (1, 0, 0), 0): (2, 2)
(22, 0, 1, (0, 0, 0), 0): (2, 7)
(22, 0, 1, (0, 0, 0), 1): (1, 1)
(22, 0, 1, (0, 0, 0), 2): (1, 1)
(22, 0, 1, (0, 1, 0), 0): (1, 1)
(22, 0, 1, (1, 0, 0), 0): (2, 3)
(22, 0, 2, (0, 0, 0), 0): (1, 5)
(22, 0, 2, (0, 0, 0), 1): (1, 1)
(22, 0, 2, (0, 0, 0), 2): (1, 1)
(22, 0, 2, (0, 1, 0), 0): (1, 2)
(22, 0, 2, (1, 0, 0), 0): (1, 2)
(22, 0, 2, (1, 0, 1), 1): (1, 1)
(22, 0, 2, (1, 1, 0), 0): (2, 2)
(22, 1, 0, (0, 0, 0), -2): (0, 1)
(22, 1, 0, (0, 0, 0), -1): (0, 2)
(22, 1, 0, (0, 0, 0), 0): (5, 7)
(22, 1, 0, (0, 0, 0), 1): (1, 1)
(22, 1, 0, (1, 0, 0), -1): (0, 1)
(22, 1, 0, (1, 0, 0), 0): (1, 2)
(22, 1, 0, (1, 1, 0), -1): (0, 1)
(22, 1, 1, (0, 0, 0), -2): (0, 1)
(22, 1, 1, (0, 0, 0), -1): (0, 1)
(22, 1, 1, (0, 0, 0), 0): (3, 4)
(22, 1, 1, (0, 1, 0), 0): (2, 3)
(22, 1, 1, (0, 1, 1), -1): (0, 1)
(22, 1, 1, (1, 0, 0), 0): (3, 3)
(22, 1, 1, (1, 0, 1), 0): (1, 1)
(22, 1, 1, (1, 1, 0), 0): (1, 2)
(22, 1, 1, (1, 1, 1), 0): (1, 1)
(22, 1, 1, (1, 1, 1), 1): (1, 1)
(22, 1, 2, (0, 0, 0), -2): (0, 1)
(22, 1, 2, (0, 0, 0), -1): (0, 1)
(22, 1, 2, (0, 0, 0), 0): (0, 1)
(22, 1, 2, (0, 0, 1), 0): (1, 1)
(22, 1, 2, (0, 1, 1), -1): (0, 1)
(22, 1, 2, (1, 0, 0), -2): (0, 1)
(22, 1, 2, (1, 0, 0), -1): (0, 1)
(22, 1, 2, (1, 0, 0), 0): (1, 1)
(22, 1, 2, (1, 0, 1), 0): (1, 1)
(22, 1, 2, (1, 1, 0), 0): (1, 2)
(22, 1, 2, (1, 1, 0), 1): (1, 1)
(22, 1, 2, (1, 1, 1), -1): (0, 1)
(23, 0, 0, (0, 0, 0), 0): (2, 4)
(23, 0, 0, (0, 0, 0), 1): (2, 2)
(23, 0, 0, (0, 0, 0), 2): (1, 1)
(23, 0, 1, (0, 0, 0), 0): (2, 4)
(23, 0, 2, (0, 0, 0), 0): (2, 4)
(23, 0, 2, (0, 0, 1), 0): (1, 1)
(23, 0, 2, (0, 1, 1), 1): (1, 1)
(23, 0, 2, (1, 0, 0), 0): (1, 2)
(23, 0, 2, (1, 0, 1), 0): (1, 1)
(23, 0, 2, (1, 0, 1), 2): (1, 1)
(23, 0, 2, (1, 1, 0), 0): (0, 1)
(23, 1, 0, (0, 0, 0), -2): (0, 1)
(23, 1, 0, (0, 0, 0), 0): (2, 3)
(23, 1, 0, (1, 0, 0), 0): (1, 1)
(23, 1, 1, (0, 0, 0), -2): (0, 1)
(23, 1, 1, (0, 0, 0), 0): (1, 2)
(23, 1, 1, (1, 0, 0), 0): (1, 2)
(23, 1, 1, (1, 1, 0), 0): (0, 1)
(23, 1, 2, (0, 0, 0), -2): (0, 1)
(23, 1, 2, (0, 0, 0), 0): (1, 1)
(23, 1, 2, (1, 0, 0), 0): (1, 1)
(23, 1, 2, (1, 1, 0), 0): (1, 2)
(23, 1, 2, (1, 1, 1), 0): (0, 1)
(24, 0, 0, (0, 0, 0), 0): (1, 3)
(24, 0, 0, (0, 0, 0), 2): (1, 1)
(24, 0, 0, (1, 0, 0), 0): (1, 1)
(24, 0, 1, (0, 0, 0), 0): (0, 2)
(24, 0, 1, (1, 0, 0), 0): (1, 2)
(24, 0, 2, (0, 0, 0), 0): (0, 1)
(24, 0, 2, (0, 1, 0), 0): (1, 1)
(24, 0, 2, (1, 0, 0), 0): (0, 1)
(24, 0, 2, (1, 1, 0), 0): (1, 1)
(24, 0, 2, (1, 1, 1), 0): (1, 1)
(24, 1, 0, (0, 0, 0), 0): (2, 3)
(24, 1, 0, (0, 1, 0), 0): (1, 1)
(24, 1, 0, (1, 0, 0), 0): (1, 1)
(24, 1, 0, (1, 1, 0), 0): (1, 1)
(24, 1, 1, (0, 0, 0), 0): (1, 2)
(24, 1, 1, (0, 1, 1), 0): (1, 1)
(24, 1, 1, (1, 1, 1), 0): (1, 1)
(24, 1, 1, (1, 1, 1), 1): (1, 1)
(24, 1, 2, (0, 0, 0), 0): (1, 2)
(24, 1, 2, (0, 1, 0), 0): (1, 2)
(24, 1, 2, (1, 1, 0), 0): (0, 1)
(24, 1, 2, (1, 1, 1), 0): (0, 1)
(25, 0, 0, (0, 0, 0), 0): (1, 2)
(25, 0, 0, (0, 0, 0), 1): (1, 1)
(25, 0, 0, (1, 0, 0), 0): (1, 2)
(25, 0, 1, (0, 0, 0), 1): (1, 1)
(25, 0, 2, (0, 0, 0), 0): (0, 1)
(25, 0, 2, (0, 0, 0), 1): (1, 1)
(25, 1, 0, (0, 0, 0), -1): (0, 1)
(25, 1, 0, (0, 0, 0), 0): (1, 1)
(25, 1, 1, (0, 0, 0), -1): (0, 1)
(25, 1, 1, (0, 0, 0), 0): (1, 1)
(25, 1, 1, (0, 0, 0), 1): (1, 1)
(25, 1, 2, (0, 0, 0), -1): (0, 1)
(25, 1, 2, (1, 0, 0), -1): (0, 1)
(26, 0, 0, (0, 0, 0), 1): (1, 1)