stats

(1, 0, 0, (0, 0, 0), 0): (85250, 185601)
(1, 0, 0, (0, 0, 0), 1): (1599, 2826)
(1, 0, 0, (0, 0, 0), 2): (566, 819)
(1, 0, 0, (0, 0, 0), 3): (373, 499)
(1, 0, 0, (0, 0, 0), 4): (185, 220)
(1, 0, 0, (0, 0, 0), 5): (40, 45)
(1, 0, 0, (0, 0, 0), 6): (12, 14)
(1, 0, 0, (0, 0, 0), 7): (2, 2)
(1, 0, 0, (0, 0, 0), 8): (1, 1)
(1, 0, 0, (0, 0, 1), 0): (1474, 2634)
(1, 0, 0, (0, 0, 1), 1): (414, 629)
(1, 0, 0, (0, 0, 1), 2): (122, 182)
(1, 0, 0, (0, 0, 1), 3): (48, 59)
(1, 0, 0, (0, 0, 1), 4): (20, 22)
(1, 0, 0, (0, 0, 1), 5): (6, 7)
(1, 0, 0, (0, 0, 1), 6): (2, 3)
(1, 0, 0, (0, 0, 1), 7): (2, 2)
(1, 0, 0, (0, 1, 0), 0): (7227, 13636)
(1, 0, 0, (0, 1, 0), 1): (945, 1551)
(1, 0, 0, (0, 1, 0), 2): (381, 528)
(1, 0, 0, (0, 1, 0), 3): (133, 175)
(1, 0, 0, (0, 1, 0), 4): (57, 63)
(1, 0, 0, (0, 1, 0), 5): (19, 20)
(1, 0, 0, (0, 1, 0), 6): (10, 11)
(1, 0, 0, (0, 1, 0), 7): (2, 2)
(1, 0, 0, (0, 1, 1), 0): (1201, 1964)
(1, 0, 0, (0, 1, 1), 1): (473, 652)
(1, 0, 0, (0, 1, 1), 2): (162, 210)
(1, 0, 0, (0, 1, 1), 3): (73, 87)
(1, 0, 0, (0, 1, 1), 4): (13, 19)
(1, 0, 0, (0, 1, 1), 5): (7, 7)
(1, 0, 0, (0, 1, 1), 6): (2, 2)
(1, 0, 0, (1, 0, 0), 0): (24627, 48918)
(1, 0, 0, (1, 0, 0), 1): (1140, 1910)
(1, 0, 0, (1, 0, 0), 2): (393, 562)
(1, 0, 0, (1, 0, 0), 3): (176, 235)
(1, 0, 0, (1, 0, 0), 4): (87, 100)
(1, 0, 0, (1, 0, 0), 5): (23, 24)
(1, 0, 0, (1, 0, 0), 6): (3, 5)
(1, 0, 0, (1, 0, 0), 7): (4, 4)
(1, 0, 0, (1, 0, 1), 0): (2476, 4266)
(1, 0, 0, (1, 0, 1), 1): (732, 1117)
(1, 0, 0, (1, 0, 1), 2): (254, 330)
(1, 0, 0, (1, 0, 1), 3): (89, 109)
(1, 0, 0, (1, 0, 1), 4): (27, 29)
(1, 0, 0, (1, 0, 1), 5): (12, 12)
(1, 0, 0, (1, 0, 1), 6): (4, 5)
(1, 0, 0, (1, 0, 1), 7): (2, 2)
(1, 0, 0, (1, 1, 0), 0): (5318, 9299)
(1, 0, 0, (1, 1, 0), 1): (933, 1414)
(1, 0, 0, (1, 1, 0), 2): (378, 503)
(1, 0, 0, (1, 1, 0), 3): (121, 159)
(1, 0, 0, (1, 1, 0), 4): (57, 64)
(1, 0, 0, (1, 1, 0), 5): (14, 15)
(1, 0, 0, (1, 1, 0), 6): (7, 7)
(1, 0, 0, (1, 1, 0), 7): (1, 1)
(1, 0, 0, (1, 1, 0), 8): (1, 1)
(1, 0, 0, (1, 1, 1), 0): (1222, 1912)
(1, 0, 0, (1, 1, 1), 1): (457, 641)
(1, 0, 0, (1, 1, 1), 2): (187, 232)
(1, 0, 0, (1, 1, 1), 3): (71, 78)
(1, 0, 0, (1, 1, 1), 4): (29, 29)
(1, 0, 0, (1, 1, 1), 5): (13, 13)
(1, 0, 0, (1, 1, 1), 6): (3, 3)
(1, 0, 0, (1, 1, 1), 7): (2, 2)
(1, 0, 0, (1, 1, 1), 8): (1, 1)
(1, 0, 1, (0, 0, 0), 0): (55041, 126906)
(1, 0, 1, (0, 0, 0), 1): (2662, 4881)
(1, 0, 1, (0, 0, 0), 2): (1748, 2697)
(1, 0, 1, (0, 0, 0), 3): (1091, 1527)
(1, 0, 1, (0, 0, 0), 4): (479, 588)
(1, 0, 1, (0, 0, 0), 5): (180, 208)
(1, 0, 1, (0, 0, 0), 6): (59, 66)
(1, 0, 1, (0, 0, 0), 7): (10, 10)
(1, 0, 1, (0, 0, 0), 8): (2, 2)
(1, 0, 1, (0, 0, 0), 9): (6, 7)
(1, 0, 1, (0, 0, 0), 10): (2, 2)
(1, 0, 1, (0, 0, 0), 12): (1, 1)
(1, 0, 1, (0, 0, 1), 0): (3826, 7373)
(1, 0, 1, (0, 0, 1), 1): (1214, 1997)
(1, 0, 1, (0, 0, 1), 2): (528, 754)
(1, 0, 1, (0, 0, 1), 3): (221, 292)
(1, 0, 1, (0, 0, 1), 4): (106, 122)
(1, 0, 1, (0, 0, 1), 5): (37, 41)
(1, 0, 1, (0, 0, 1), 6): (13, 13)
(1, 0, 1, (0, 0, 1), 7): (7, 7)
(1, 0, 1, (0, 0, 1), 8): (4, 4)
(1, 0, 1, (0, 1, 0), 0): (9948, 20697)
(1, 0, 1, (0, 1, 0), 1): (2351, 4098)
(1, 0, 1, (0, 1, 0), 2): (1059, 1549)
(1, 0, 1, (0, 1, 0), 3): (508, 655)
(1, 0, 1, (0, 1, 0), 4): (201, 235)
(1, 0, 1, (0, 1, 0), 5): (84, 93)
(1, 0, 1, (0, 1, 0), 6): (30, 32)
(1, 0, 1, (0, 1, 0), 7): (9, 9)
(1, 0, 1, (0, 1, 0), 8): (7, 7)
(1, 0, 1, (0, 1, 0), 9): (2, 2)
(1, 0, 1, (0, 1, 1), 0): (2351, 4265)
(1, 0, 1, (0, 1, 1), 1): (1068, 1637)
(1, 0, 1, (0, 1, 1), 2): (504, 688)
(1, 0, 1, (0, 1, 1), 3): (243, 294)
(1, 0, 1, (0, 1, 1), 4): (91, 110)
(1, 0, 1, (0, 1, 1), 5): (29, 34)
(1, 0, 1, (0, 1, 1), 6): (16, 17)
(1, 0, 1, (0, 1, 1), 7): (8, 8)
(1, 0, 1, (0, 1, 1), 8): (3, 3)
(1, 0, 1, (0, 1, 1), 9): (1, 1)
(1, 0, 1, (1, 0, 0), 0): (22706, 48795)
(1, 0, 1, (1, 0, 0), 1): (3143, 5532)
(1, 0, 1, (1, 0, 0), 2): (1353, 2130)
(1, 0, 1, (1, 0, 0), 3): (667, 893)
(1, 0, 1, (1, 0, 0), 4): (301, 355)
(1, 0, 1, (1, 0, 0), 5): (130, 144)
(1, 0, 1, (1, 0, 0), 6): (42, 47)
(1, 0, 1, (1, 0, 0), 7): (10, 10)
(1, 0, 1, (1, 0, 0), 8): (2, 2)
(1, 0, 1, (1, 0, 0), 9): (3, 3)
(1, 0, 1, (1, 0, 0), 12): (1, 1)
(1, 0, 1, (1, 0, 1), 0): (3594, 6789)
(1, 0, 1, (1, 0, 1), 1): (1632, 2604)
(1, 0, 1, (1, 0, 1), 2): (735, 1008)
(1, 0, 1, (1, 0, 1), 3): (313, 400)
(1, 0, 1, (1, 0, 1), 4): (137, 157)
(1, 0, 1, (1, 0, 1), 5): (49, 53)
(1, 0, 1, (1, 0, 1), 6): (17, 18)
(1, 0, 1, (1, 0, 1), 7): (7, 7)
(1, 0, 1, (1, 0, 1), 8): (1, 1)
(1, 0, 1, (1, 0, 1), 9): (2, 2)
(1, 0, 1, (1, 1, 0), 0): (7167, 14069)
(1, 0, 1, (1, 1, 0), 1): (2186, 3661)
(1, 0, 1, (1, 1, 0), 2): (1053, 1574)
(1, 0, 1, (1, 1, 0), 3): (439, 570)
(1, 0, 1, (1, 1, 0), 4): (215, 259)
(1, 0, 1, (1, 1, 0), 5): (77, 90)
(1, 0, 1, (1, 1, 0), 6): (27, 32)
(1, 0, 1, (1, 1, 0), 7): (5, 5)
(1, 0, 1, (1, 1, 0), 8): (2, 2)
(1, 0, 1, (1, 1, 1), 0): (2205, 3823)
(1, 0, 1, (1, 1, 1), 1): (1149, 1742)
(1, 0, 1, (1, 1, 1), 2): (575, 789)
(1, 0, 1, (1, 1, 1), 3): (247, 298)
(1, 0, 1, (1, 1, 1), 4): (106, 122)
(1, 0, 1, (1, 1, 1), 5): (35, 35)
(1, 0, 1, (1, 1, 1), 6): (14, 14)
(1, 0, 1, (1, 1, 1), 7): (8, 8)
(1, 0, 1, (1, 1, 1), 8): (3, 3)
(1, 0, 2, (0, 0, 0), 0): (38675, 92982)
(1, 0, 2, (0, 0, 0), 1): (4600, 8743)
(1, 0, 2, (0, 0, 0), 2): (2972, 4731)
(1, 0, 2, (0, 0, 0), 3): (1654, 2383)
(1, 0, 2, (0, 0, 0), 4): (853, 1051)
(1, 0, 2, (0, 0, 0), 5): (308, 360)
(1, 0, 2, (0, 0, 0), 6): (104, 117)
(1, 0, 2, (0, 0, 0), 7): (27, 27)
(1, 0, 2, (0, 0, 0), 8): (10, 10)
(1, 0, 2, (0, 0, 0), 9): (12, 13)
(1, 0, 2, (0, 0, 0), 10): (7, 7)
(1, 0, 2, (0, 0, 0), 11): (4, 4)
(1, 0, 2, (0, 0, 1), 0): (3874, 8339)
(1, 0, 2, (0, 0, 1), 1): (1751, 3154)
(1, 0, 2, (0, 0, 1), 2): (922, 1434)
(1, 0, 2, (0, 0, 1), 3): (443, 616)
(1, 0, 2, (0, 0, 1), 4): (209, 249)
(1, 0, 2, (0, 0, 1), 5): (80, 99)
(1, 0, 2, (0, 0, 1), 6): (28, 30)
(1, 0, 2, (0, 0, 1), 7): (18, 18)
(1, 0, 2, (0, 0, 1), 8): (4, 5)
(1, 0, 2, (0, 0, 1), 9): (3, 3)
(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): (9009, 20382)
(1, 0, 2, (0, 1, 0), 1): (3458, 6423)
(1, 0, 2, (0, 1, 0), 2): (1967, 3020)
(1, 0, 2, (0, 1, 0), 3): (1046, 1428)
(1, 0, 2, (0, 1, 0), 4): (524, 640)
(1, 0, 2, (0, 1, 0), 5): (211, 240)
(1, 0, 2, (0, 1, 0), 6): (83, 91)
(1, 0, 2, (0, 1, 0), 7): (28, 28)
(1, 0, 2, (0, 1, 0), 8): (16, 16)
(1, 0, 2, (0, 1, 0), 9): (8, 8)
(1, 0, 2, (0, 1, 0), 10): (2, 2)
(1, 0, 2, (0, 1, 0), 11): (1, 1)
(1, 0, 2, (0, 1, 1), 0): (1652, 3462)
(1, 0, 2, (0, 1, 1), 1): (1160, 1945)
(1, 0, 2, (0, 1, 1), 2): (679, 980)
(1, 0, 2, (0, 1, 1), 3): (353, 460)
(1, 0, 2, (0, 1, 1), 4): (148, 174)
(1, 0, 2, (0, 1, 1), 5): (61, 72)
(1, 0, 2, (0, 1, 1), 6): (33, 34)
(1, 0, 2, (0, 1, 1), 7): (9, 9)
(1, 0, 2, (0, 1, 1), 8): (1, 1)
(1, 0, 2, (0, 1, 1), 9): (2, 2)
(1, 0, 2, (1, 0, 0), 0): (18509, 43023)
(1, 0, 2, (1, 0, 0), 1): (4870, 8918)
(1, 0, 2, (1, 0, 0), 2): (2529, 3995)
(1, 0, 2, (1, 0, 0), 3): (1344, 1852)
(1, 0, 2, (1, 0, 0), 4): (665, 797)
(1, 0, 2, (1, 0, 0), 5): (264, 300)
(1, 0, 2, (1, 0, 0), 6): (85, 92)
(1, 0, 2, (1, 0, 0), 7): (40, 43)
(1, 0, 2, (1, 0, 0), 8): (16, 16)
(1, 0, 2, (1, 0, 0), 9): (13, 14)
(1, 0, 2, (1, 0, 0), 10): (10, 10)
(1, 0, 2, (1, 0, 0), 11): (2, 2)
(1, 0, 2, (1, 0, 1), 0): (3162, 6716)
(1, 0, 2, (1, 0, 1), 1): (1923, 3380)
(1, 0, 2, (1, 0, 1), 2): (997, 1507)
(1, 0, 2, (1, 0, 1), 3): (505, 688)
(1, 0, 2, (1, 0, 1), 4): (256, 298)
(1, 0, 2, (1, 0, 1), 5): (99, 115)
(1, 0, 2, (1, 0, 1), 6): (39, 45)
(1, 0, 2, (1, 0, 1), 7): (19, 19)
(1, 0, 2, (1, 0, 1), 8): (7, 7)
(1, 0, 2, (1, 0, 1), 9): (2, 2)
(1, 0, 2, (1, 0, 1), 10): (0, 1)
(1, 0, 2, (1, 1, 0), 0): (6816, 15178)
(1, 0, 2, (1, 1, 0), 1): (3005, 5512)
(1, 0, 2, (1, 1, 0), 2): (1651, 2577)
(1, 0, 2, (1, 1, 0), 3): (868, 1155)
(1, 0, 2, (1, 1, 0), 4): (476, 574)
(1, 0, 2, (1, 1, 0), 5): (166, 188)
(1, 0, 2, (1, 1, 0), 6): (82, 84)
(1, 0, 2, (1, 1, 0), 7): (27, 28)
(1, 0, 2, (1, 1, 0), 8): (14, 14)
(1, 0, 2, (1, 1, 0), 9): (3, 4)
(1, 0, 2, (1, 1, 0), 10): (2, 2)
(1, 0, 2, (1, 1, 1), 0): (2022, 4066)
(1, 0, 2, (1, 1, 1), 1): (1251, 2137)
(1, 0, 2, (1, 1, 1), 2): (658, 995)
(1, 0, 2, (1, 1, 1), 3): (412, 546)
(1, 0, 2, (1, 1, 1), 4): (138, 162)
(1, 0, 2, (1, 1, 1), 5): (59, 65)
(1, 0, 2, (1, 1, 1), 6): (20, 22)
(1, 0, 2, (1, 1, 1), 7): (14, 14)
(1, 0, 2, (1, 1, 1), 8): (6, 6)
(1, 0, 2, (1, 1, 1), 9): (2, 2)
(1, 0, 2, (1, 1, 1), 10): (2, 3)
(1, 1, 0, (0, 0, 0), -12): (0, 1)
(1, 1, 0, (0, 0, 0), -11): (0, 6)
(1, 1, 0, (0, 0, 0), -10): (1, 15)
(1, 1, 0, (0, 0, 0), -9): (0, 30)
(1, 1, 0, (0, 0, 0), -8): (1, 44)
(1, 1, 0, (0, 0, 0), -7): (4, 124)
(1, 1, 0, (0, 0, 0), -6): (33, 374)
(1, 1, 0, (0, 0, 0), -5): (158, 1091)
(1, 1, 0, (0, 0, 0), -4): (546, 2849)
(1, 1, 0, (0, 0, 0), -3): (1910, 6519)
(1, 1, 0, (0, 0, 0), -2): (5274, 13788)
(1, 1, 0, (0, 0, 0), -1): (13734, 28413)
(1, 1, 0, (0, 0, 0), 0): (79229, 133417)
(1, 1, 0, (0, 0, 0), 1): (1671, 2381)
(1, 1, 0, (0, 0, 0), 2): (663, 863)
(1, 1, 0, (0, 0, 0), 3): (430, 519)
(1, 1, 0, (0, 0, 0), 4): (232, 253)
(1, 1, 0, (0, 0, 0), 5): (58, 60)
(1, 1, 0, (0, 0, 0), 6): (13, 15)
(1, 1, 0, (0, 0, 0), 7): (4, 4)
(1, 1, 0, (0, 0, 0), 8): (3, 3)
(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, 3)
(1, 1, 0, (0, 0, 1), -6): (0, 5)
(1, 1, 0, (0, 0, 1), -5): (2, 10)
(1, 1, 0, (0, 0, 1), -4): (8, 33)
(1, 1, 0, (0, 0, 1), -3): (35, 101)
(1, 1, 0, (0, 0, 1), -2): (101, 224)
(1, 1, 0, (0, 0, 1), -1): (294, 544)
(1, 1, 0, (0, 0, 1), 0): (1586, 2348)
(1, 1, 0, (0, 0, 1), 1): (478, 638)
(1, 1, 0, (0, 0, 1), 2): (179, 200)
(1, 1, 0, (0, 0, 1), 3): (53, 65)
(1, 1, 0, (0, 0, 1), 4): (23, 24)
(1, 1, 0, (0, 0, 1), 5): (9, 9)
(1, 1, 0, (0, 0, 1), 6): (2, 2)
(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, 2)
(1, 1, 0, (0, 1, 0), -8): (1, 10)
(1, 1, 0, (0, 1, 0), -7): (1, 11)
(1, 1, 0, (0, 1, 0), -6): (7, 26)
(1, 1, 0, (0, 1, 0), -5): (11, 98)
(1, 1, 0, (0, 1, 0), -4): (56, 237)
(1, 1, 0, (0, 1, 0), -3): (177, 468)
(1, 1, 0, (0, 1, 0), -2): (501, 1099)
(1, 1, 0, (0, 1, 0), -1): (1402, 2492)
(1, 1, 0, (0, 1, 0), 0): (7336, 11203)
(1, 1, 0, (0, 1, 0), 1): (1112, 1475)
(1, 1, 0, (0, 1, 0), 2): (457, 558)
(1, 1, 0, (0, 1, 0), 3): (177, 202)
(1, 1, 0, (0, 1, 0), 4): (77, 86)
(1, 1, 0, (0, 1, 0), 5): (19, 20)
(1, 1, 0, (0, 1, 0), 6): (5, 5)
(1, 1, 0, (0, 1, 0), 7): (1, 1)
(1, 1, 0, (0, 1, 1), -10): (0, 1)
(1, 1, 0, (0, 1, 1), -8): (0, 1)
(1, 1, 0, (0, 1, 1), -7): (0, 1)
(1, 1, 0, (0, 1, 1), -6): (1, 4)
(1, 1, 0, (0, 1, 1), -5): (4, 13)
(1, 1, 0, (0, 1, 1), -4): (19, 42)
(1, 1, 0, (0, 1, 1), -3): (44, 96)
(1, 1, 0, (0, 1, 1), -2): (111, 217)
(1, 1, 0, (0, 1, 1), -1): (268, 408)
(1, 1, 0, (0, 1, 1), 0): (1291, 1751)
(1, 1, 0, (0, 1, 1), 1): (524, 645)
(1, 1, 0, (0, 1, 1), 2): (191, 225)
(1, 1, 0, (0, 1, 1), 3): (61, 64)
(1, 1, 0, (0, 1, 1), 4): (20, 25)
(1, 1, 0, (0, 1, 1), 5): (5, 5)
(1, 1, 0, (0, 1, 1), 6): (2, 2)
(1, 1, 0, (0, 1, 1), 7): (1, 1)
(1, 1, 0, (1, 0, 0), -11): (0, 1)
(1, 1, 0, (1, 0, 0), -10): (0, 6)
(1, 1, 0, (1, 0, 0), -9): (0, 7)
(1, 1, 0, (1, 0, 0), -8): (0, 16)
(1, 1, 0, (1, 0, 0), -7): (2, 44)
(1, 1, 0, (1, 0, 0), -6): (7, 110)
(1, 1, 0, (1, 0, 0), -5): (54, 323)
(1, 1, 0, (1, 0, 0), -4): (200, 832)
(1, 1, 0, (1, 0, 0), -3): (676, 1996)
(1, 1, 0, (1, 0, 0), -2): (1768, 4031)
(1, 1, 0, (1, 0, 0), -1): (4427, 8358)
(1, 1, 0, (1, 0, 0), 0): (24511, 38636)
(1, 1, 0, (1, 0, 0), 1): (1233, 1685)
(1, 1, 0, (1, 0, 0), 2): (464, 577)
(1, 1, 0, (1, 0, 0), 3): (238, 277)
(1, 1, 0, (1, 0, 0), 4): (89, 99)
(1, 1, 0, (1, 0, 0), 5): (28, 30)
(1, 1, 0, (1, 0, 0), 6): (6, 7)
(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, 4)
(1, 1, 0, (1, 0, 1), -6): (0, 8)
(1, 1, 0, (1, 0, 1), -5): (1, 19)
(1, 1, 0, (1, 0, 1), -4): (16, 73)
(1, 1, 0, (1, 0, 1), -3): (59, 165)
(1, 1, 0, (1, 0, 1), -2): (194, 394)
(1, 1, 0, (1, 0, 1), -1): (545, 894)
(1, 1, 0, (1, 0, 1), 0): (2677, 3734)
(1, 1, 0, (1, 0, 1), 1): (793, 994)
(1, 1, 0, (1, 0, 1), 2): (300, 343)
(1, 1, 0, (1, 0, 1), 3): (104, 115)
(1, 1, 0, (1, 0, 1), 4): (35, 36)
(1, 1, 0, (1, 0, 1), 5): (17, 17)
(1, 1, 0, (1, 0, 1), 6): (4, 4)
(1, 1, 0, (1, 0, 1), 8): (1, 1)
(1, 1, 0, (1, 1, 0), -11): (0, 1)
(1, 1, 0, (1, 1, 0), -10): (0, 1)
(1, 1, 0, (1, 1, 0), -9): (0, 1)
(1, 1, 0, (1, 1, 0), -8): (0, 4)
(1, 1, 0, (1, 1, 0), -7): (1, 16)
(1, 1, 0, (1, 1, 0), -6): (3, 31)
(1, 1, 0, (1, 1, 0), -5): (18, 90)
(1, 1, 0, (1, 1, 0), -4): (70, 222)
(1, 1, 0, (1, 1, 0), -3): (214, 516)
(1, 1, 0, (1, 1, 0), -2): (515, 965)
(1, 1, 0, (1, 1, 0), -1): (1081, 1791)
(1, 1, 0, (1, 1, 0), 0): (5695, 8168)
(1, 1, 0, (1, 1, 0), 1): (1010, 1315)
(1, 1, 0, (1, 1, 0), 2): (390, 479)
(1, 1, 0, (1, 1, 0), 3): (138, 161)
(1, 1, 0, (1, 1, 0), 4): (60, 63)
(1, 1, 0, (1, 1, 0), 5): (25, 27)
(1, 1, 0, (1, 1, 0), 6): (7, 9)
(1, 1, 0, (1, 1, 0), 7): (1, 1)
(1, 1, 0, (1, 1, 0), 8): (1, 1)
(1, 1, 0, (1, 1, 1), -8): (0, 1)
(1, 1, 0, (1, 1, 1), -7): (0, 6)
(1, 1, 0, (1, 1, 1), -6): (1, 8)
(1, 1, 0, (1, 1, 1), -5): (4, 14)
(1, 1, 0, (1, 1, 1), -4): (27, 58)
(1, 1, 0, (1, 1, 1), -3): (50, 102)
(1, 1, 0, (1, 1, 1), -2): (136, 241)
(1, 1, 0, (1, 1, 1), -1): (300, 440)
(1, 1, 0, (1, 1, 1), 0): (1384, 1844)
(1, 1, 0, (1, 1, 1), 1): (497, 605)
(1, 1, 0, (1, 1, 1), 2): (214, 245)
(1, 1, 0, (1, 1, 1), 3): (84, 95)
(1, 1, 0, (1, 1, 1), 4): (27, 30)
(1, 1, 0, (1, 1, 1), 5): (10, 11)
(1, 1, 0, (1, 1, 1), 6): (4, 4)
(1, 1, 0, (1, 1, 1), 7): (1, 1)
(1, 1, 1, (0, 0, 0), -12): (0, 1)
(1, 1, 1, (0, 0, 0), -11): (0, 4)
(1, 1, 1, (0, 0, 0), -10): (0, 9)
(1, 1, 1, (0, 0, 0), -9): (0, 21)
(1, 1, 1, (0, 0, 0), -8): (1, 20)
(1, 1, 1, (0, 0, 0), -7): (2, 70)
(1, 1, 1, (0, 0, 0), -6): (19, 229)
(1, 1, 1, (0, 0, 0), -5): (94, 699)
(1, 1, 1, (0, 0, 0), -4): (309, 1852)
(1, 1, 1, (0, 0, 0), -3): (1101, 4188)
(1, 1, 1, (0, 0, 0), -2): (3184, 9128)
(1, 1, 1, (0, 0, 0), -1): (8547, 18902)
(1, 1, 1, (0, 0, 0), 0): (50006, 88163)
(1, 1, 1, (0, 0, 0), 1): (2892, 4246)
(1, 1, 1, (0, 0, 0), 2): (1983, 2596)
(1, 1, 1, (0, 0, 0), 3): (1275, 1513)
(1, 1, 1, (0, 0, 0), 4): (548, 608)
(1, 1, 1, (0, 0, 0), 5): (192, 206)
(1, 1, 1, (0, 0, 0), 6): (64, 69)
(1, 1, 1, (0, 0, 0), 7): (27, 28)
(1, 1, 1, (0, 0, 0), 8): (4, 4)
(1, 1, 1, (0, 0, 0), 9): (5, 5)
(1, 1, 1, (0, 0, 0), 11): (2, 2)
(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): (4, 18)
(1, 1, 1, (0, 0, 1), -5): (5, 31)
(1, 1, 1, (0, 0, 1), -4): (24, 132)
(1, 1, 1, (0, 0, 1), -3): (78, 269)
(1, 1, 1, (0, 0, 1), -2): (276, 625)
(1, 1, 1, (0, 0, 1), -1): (780, 1451)
(1, 1, 1, (0, 0, 1), 0): (4032, 6310)
(1, 1, 1, (0, 0, 1), 1): (1411, 1917)
(1, 1, 1, (0, 0, 1), 2): (595, 729)
(1, 1, 1, (0, 0, 1), 3): (262, 307)
(1, 1, 1, (0, 0, 1), 4): (111, 123)
(1, 1, 1, (0, 0, 1), 5): (42, 44)
(1, 1, 1, (0, 0, 1), 6): (13, 13)
(1, 1, 1, (0, 0, 1), 7): (5, 5)
(1, 1, 1, (0, 0, 1), 8): (2, 2)
(1, 1, 1, (0, 0, 1), 11): (1, 1)
(1, 1, 1, (0, 1, 0), -10): (1, 3)
(1, 1, 1, (0, 1, 0), -9): (0, 2)
(1, 1, 1, (0, 1, 0), -8): (1, 4)
(1, 1, 1, (0, 1, 0), -7): (2, 10)
(1, 1, 1, (0, 1, 0), -6): (4, 35)
(1, 1, 1, (0, 1, 0), -5): (23, 124)
(1, 1, 1, (0, 1, 0), -4): (61, 296)
(1, 1, 1, (0, 1, 0), -3): (235, 723)
(1, 1, 1, (0, 1, 0), -2): (660, 1599)
(1, 1, 1, (0, 1, 0), -1): (1767, 3576)
(1, 1, 1, (0, 1, 0), 0): (10245, 16731)
(1, 1, 1, (0, 1, 0), 1): (2663, 3747)
(1, 1, 1, (0, 1, 0), 2): (1210, 1563)
(1, 1, 1, (0, 1, 0), 3): (540, 649)
(1, 1, 1, (0, 1, 0), 4): (259, 290)
(1, 1, 1, (0, 1, 0), 5): (98, 106)
(1, 1, 1, (0, 1, 0), 6): (36, 38)
(1, 1, 1, (0, 1, 0), 7): (14, 14)
(1, 1, 1, (0, 1, 0), 8): (3, 3)
(1, 1, 1, (0, 1, 0), 11): (1, 1)
(1, 1, 1, (0, 1, 0), 13): (1, 1)
(1, 1, 1, (0, 1, 1), -10): (0, 1)
(1, 1, 1, (0, 1, 1), -8): (0, 1)
(1, 1, 1, (0, 1, 1), -7): (0, 4)
(1, 1, 1, (0, 1, 1), -6): (0, 11)
(1, 1, 1, (0, 1, 1), -5): (10, 28)
(1, 1, 1, (0, 1, 1), -4): (26, 93)
(1, 1, 1, (0, 1, 1), -3): (83, 212)
(1, 1, 1, (0, 1, 1), -2): (217, 437)
(1, 1, 1, (0, 1, 1), -1): (513, 883)
(1, 1, 1, (0, 1, 1), 0): (2603, 3764)
(1, 1, 1, (0, 1, 1), 1): (1106, 1447)
(1, 1, 1, (0, 1, 1), 2): (563, 686)
(1, 1, 1, (0, 1, 1), 3): (245, 285)
(1, 1, 1, (0, 1, 1), 4): (89, 98)
(1, 1, 1, (0, 1, 1), 5): (42, 43)
(1, 1, 1, (0, 1, 1), 6): (7, 8)
(1, 1, 1, (0, 1, 1), 7): (5, 5)
(1, 1, 1, (1, 0, 0), -11): (0, 1)
(1, 1, 1, (1, 0, 0), -10): (0, 4)
(1, 1, 1, (1, 0, 0), -9): (0, 11)
(1, 1, 1, (1, 0, 0), -8): (1, 13)
(1, 1, 1, (1, 0, 0), -7): (1, 39)
(1, 1, 1, (1, 0, 0), -6): (7, 108)
(1, 1, 1, (1, 0, 0), -5): (47, 307)
(1, 1, 1, (1, 0, 0), -4): (171, 870)
(1, 1, 1, (1, 0, 0), -3): (585, 1977)
(1, 1, 1, (1, 0, 0), -2): (1608, 4121)
(1, 1, 1, (1, 0, 0), -1): (3973, 8145)
(1, 1, 1, (1, 0, 0), 0): (21888, 36544)
(1, 1, 1, (1, 0, 0), 1): (3523, 5028)
(1, 1, 1, (1, 0, 0), 2): (1581, 2022)
(1, 1, 1, (1, 0, 0), 3): (753, 892)
(1, 1, 1, (1, 0, 0), 4): (371, 405)
(1, 1, 1, (1, 0, 0), 5): (115, 124)
(1, 1, 1, (1, 0, 0), 6): (62, 64)
(1, 1, 1, (1, 0, 0), 7): (10, 10)
(1, 1, 1, (1, 0, 0), 8): (2, 2)
(1, 1, 1, (1, 0, 0), 9): (4, 4)
(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, 12)
(1, 1, 1, (1, 0, 1), -6): (0, 15)
(1, 1, 1, (1, 0, 1), -5): (11, 53)
(1, 1, 1, (1, 0, 1), -4): (26, 127)
(1, 1, 1, (1, 0, 1), -3): (98, 299)
(1, 1, 1, (1, 0, 1), -2): (313, 668)
(1, 1, 1, (1, 0, 1), -1): (796, 1431)
(1, 1, 1, (1, 0, 1), 0): (3888, 5838)
(1, 1, 1, (1, 0, 1), 1): (1756, 2361)
(1, 1, 1, (1, 0, 1), 2): (760, 929)
(1, 1, 1, (1, 0, 1), 3): (352, 404)
(1, 1, 1, (1, 0, 1), 4): (163, 178)
(1, 1, 1, (1, 0, 1), 5): (65, 71)
(1, 1, 1, (1, 0, 1), 6): (17, 18)
(1, 1, 1, (1, 0, 1), 7): (7, 7)
(1, 1, 1, (1, 0, 1), 8): (3, 3)
(1, 1, 1, (1, 0, 1), 9): (3, 3)
(1, 1, 1, (1, 0, 1), 10): (2, 2)
(1, 1, 1, (1, 0, 1), 11): (1, 1)
(1, 1, 1, (1, 0, 1), 13): (1, 1)
(1, 1, 1, (1, 1, 0), -11): (0, 2)
(1, 1, 1, (1, 1, 0), -10): (0, 3)
(1, 1, 1, (1, 1, 0), -9): (0, 2)
(1, 1, 1, (1, 1, 0), -8): (0, 3)
(1, 1, 1, (1, 1, 0), -7): (1, 12)
(1, 1, 1, (1, 1, 0), -6): (1, 45)
(1, 1, 1, (1, 1, 0), -5): (18, 114)
(1, 1, 1, (1, 1, 0), -4): (75, 285)
(1, 1, 1, (1, 1, 0), -3): (215, 671)
(1, 1, 1, (1, 1, 0), -2): (616, 1365)
(1, 1, 1, (1, 1, 0), -1): (1403, 2746)
(1, 1, 1, (1, 1, 0), 0): (7386, 11604)
(1, 1, 1, (1, 1, 0), 1): (2373, 3286)
(1, 1, 1, (1, 1, 0), 2): (1147, 1446)
(1, 1, 1, (1, 1, 0), 3): (545, 622)
(1, 1, 1, (1, 1, 0), 4): (227, 257)
(1, 1, 1, (1, 1, 0), 5): (104, 110)
(1, 1, 1, (1, 1, 0), 6): (25, 27)
(1, 1, 1, (1, 1, 0), 7): (8, 8)
(1, 1, 1, (1, 1, 0), 8): (3, 3)
(1, 1, 1, (1, 1, 0), 9): (3, 3)
(1, 1, 1, (1, 1, 0), 11): (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): (1, 9)
(1, 1, 1, (1, 1, 1), -6): (1, 10)
(1, 1, 1, (1, 1, 1), -5): (3, 33)
(1, 1, 1, (1, 1, 1), -4): (32, 111)
(1, 1, 1, (1, 1, 1), -3): (80, 185)
(1, 1, 1, (1, 1, 1), -2): (207, 425)
(1, 1, 1, (1, 1, 1), -1): (500, 826)
(1, 1, 1, (1, 1, 1), 0): (2474, 3553)
(1, 1, 1, (1, 1, 1), 1): (1286, 1667)
(1, 1, 1, (1, 1, 1), 2): (632, 740)
(1, 1, 1, (1, 1, 1), 3): (287, 325)
(1, 1, 1, (1, 1, 1), 4): (101, 104)
(1, 1, 1, (1, 1, 1), 5): (34, 37)
(1, 1, 1, (1, 1, 1), 6): (11, 12)
(1, 1, 1, (1, 1, 1), 7): (7, 7)
(1, 1, 1, (1, 1, 1), 8): (3, 3)
(1, 1, 1, (1, 1, 1), 9): (3, 3)
(1, 1, 1, (1, 1, 1), 10): (1, 1)
(1, 1, 1, (1, 1, 1), 14): (1, 1)
(1, 1, 2, (0, 0, 0), -12): (0, 1)
(1, 1, 2, (0, 0, 0), -11): (0, 3)
(1, 1, 2, (0, 0, 0), -10): (0, 7)
(1, 1, 2, (0, 0, 0), -9): (0, 15)
(1, 1, 2, (0, 0, 0), -8): (0, 19)
(1, 1, 2, (0, 0, 0), -7): (1, 54)
(1, 1, 2, (0, 0, 0), -6): (12, 166)
(1, 1, 2, (0, 0, 0), -5): (60, 523)
(1, 1, 2, (0, 0, 0), -4): (196, 1334)
(1, 1, 2, (0, 0, 0), -3): (732, 3047)
(1, 1, 2, (0, 0, 0), -2): (2155, 6652)
(1, 1, 2, (0, 0, 0), -1): (6074, 14075)
(1, 1, 2, (0, 0, 0), 0): (35293, 64509)
(1, 1, 2, (0, 0, 0), 1): (5127, 7767)
(1, 1, 2, (0, 0, 0), 2): (3340, 4407)
(1, 1, 2, (0, 0, 0), 3): (1956, 2344)
(1, 1, 2, (0, 0, 0), 4): (863, 985)
(1, 1, 2, (0, 0, 0), 5): (366, 391)
(1, 1, 2, (0, 0, 0), 6): (120, 129)
(1, 1, 2, (0, 0, 0), 7): (47, 48)
(1, 1, 2, (0, 0, 0), 8): (19, 20)
(1, 1, 2, (0, 0, 0), 9): (13, 13)
(1, 1, 2, (0, 0, 0), 10): (4, 4)
(1, 1, 2, (0, 0, 0), 11): (3, 3)
(1, 1, 2, (0, 0, 0), 12): (1, 1)
(1, 1, 2, (0, 0, 0), 13): (1, 1)
(1, 1, 2, (0, 0, 0), 14): (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, 9)
(1, 1, 2, (0, 0, 1), -6): (2, 17)
(1, 1, 2, (0, 0, 1), -5): (7, 51)
(1, 1, 2, (0, 0, 1), -4): (28, 147)
(1, 1, 2, (0, 0, 1), -3): (101, 316)
(1, 1, 2, (0, 0, 1), -2): (274, 726)
(1, 1, 2, (0, 0, 1), -1): (782, 1664)
(1, 1, 2, (0, 0, 1), 0): (4067, 7045)
(1, 1, 2, (0, 0, 1), 1): (2004, 2893)
(1, 1, 2, (0, 0, 1), 2): (1055, 1396)
(1, 1, 2, (0, 0, 1), 3): (523, 636)
(1, 1, 2, (0, 0, 1), 4): (262, 289)
(1, 1, 2, (0, 0, 1), 5): (96, 109)
(1, 1, 2, (0, 0, 1), 6): (35, 37)
(1, 1, 2, (0, 0, 1), 7): (18, 18)
(1, 1, 2, (0, 0, 1), 8): (12, 12)
(1, 1, 2, (0, 0, 1), 9): (3, 3)
(1, 1, 2, (0, 0, 1), 10): (2, 2)
(1, 1, 2, (0, 0, 1), 11): (2, 2)
(1, 1, 2, (0, 1, 0), -11): (0, 1)
(1, 1, 2, (0, 1, 0), -10): (0, 2)
(1, 1, 2, (0, 1, 0), -9): (0, 3)
(1, 1, 2, (0, 1, 0), -8): (1, 7)
(1, 1, 2, (0, 1, 0), -7): (0, 9)
(1, 1, 2, (0, 1, 0), -6): (3, 37)
(1, 1, 2, (0, 1, 0), -5): (28, 118)
(1, 1, 2, (0, 1, 0), -4): (46, 303)
(1, 1, 2, (0, 1, 0), -3): (215, 833)
(1, 1, 2, (0, 1, 0), -2): (609, 1666)
(1, 1, 2, (0, 1, 0), -1): (1699, 3702)
(1, 1, 2, (0, 1, 0), 0): (9371, 16211)
(1, 1, 2, (0, 1, 0), 1): (3999, 5911)
(1, 1, 2, (0, 1, 0), 2): (2282, 2994)
(1, 1, 2, (0, 1, 0), 3): (1171, 1415)
(1, 1, 2, (0, 1, 0), 4): (603, 666)
(1, 1, 2, (0, 1, 0), 5): (226, 249)
(1, 1, 2, (0, 1, 0), 6): (110, 118)
(1, 1, 2, (0, 1, 0), 7): (35, 35)
(1, 1, 2, (0, 1, 0), 8): (15, 15)
(1, 1, 2, (0, 1, 0), 9): (6, 6)
(1, 1, 2, (0, 1, 0), 10): (4, 4)
(1, 1, 2, (0, 1, 0), 11): (2, 2)
(1, 1, 2, (0, 1, 1), -10): (0, 2)
(1, 1, 2, (0, 1, 1), -7): (0, 1)
(1, 1, 2, (0, 1, 1), -6): (1, 13)
(1, 1, 2, (0, 1, 1), -5): (4, 29)
(1, 1, 2, (0, 1, 1), -4): (14, 83)
(1, 1, 2, (0, 1, 1), -3): (43, 177)
(1, 1, 2, (0, 1, 1), -2): (150, 372)
(1, 1, 2, (0, 1, 1), -1): (391, 805)
(1, 1, 2, (0, 1, 1), 0): (1817, 3023)
(1, 1, 2, (0, 1, 1), 1): (1258, 1784)
(1, 1, 2, (0, 1, 1), 2): (733, 931)
(1, 1, 2, (0, 1, 1), 3): (375, 434)
(1, 1, 2, (0, 1, 1), 4): (150, 179)
(1, 1, 2, (0, 1, 1), 5): (101, 106)
(1, 1, 2, (0, 1, 1), 6): (25, 26)
(1, 1, 2, (0, 1, 1), 7): (20, 20)
(1, 1, 2, (0, 1, 1), 8): (4, 4)
(1, 1, 2, (0, 1, 1), 9): (1, 2)
(1, 1, 2, (0, 1, 1), 10): (2, 2)
(1, 1, 2, (0, 1, 1), 11): (1, 1)
(1, 1, 2, (0, 1, 1), 12): (1, 1)
(1, 1, 2, (1, 0, 0), -10): (0, 3)
(1, 1, 2, (1, 0, 0), -9): (0, 8)
(1, 1, 2, (1, 0, 0), -8): (0, 9)
(1, 1, 2, (1, 0, 0), -7): (0, 32)
(1, 1, 2, (1, 0, 0), -6): (7, 96)
(1, 1, 2, (1, 0, 0), -5): (26, 285)
(1, 1, 2, (1, 0, 0), -4): (118, 749)
(1, 1, 2, (1, 0, 0), -3): (411, 1700)
(1, 1, 2, (1, 0, 0), -2): (1212, 3690)
(1, 1, 2, (1, 0, 0), -1): (3285, 7385)
(1, 1, 2, (1, 0, 0), 0): (18185, 32175)
(1, 1, 2, (1, 0, 0), 1): (5278, 7911)
(1, 1, 2, (1, 0, 0), 2): (2953, 3821)
(1, 1, 2, (1, 0, 0), 3): (1487, 1789)
(1, 1, 2, (1, 0, 0), 4): (712, 803)
(1, 1, 2, (1, 0, 0), 5): (266, 283)
(1, 1, 2, (1, 0, 0), 6): (120, 126)
(1, 1, 2, (1, 0, 0), 7): (58, 62)
(1, 1, 2, (1, 0, 0), 8): (16, 17)
(1, 1, 2, (1, 0, 0), 9): (10, 10)
(1, 1, 2, (1, 0, 0), 10): (4, 4)
(1, 1, 2, (1, 0, 0), 11): (2, 2)
(1, 1, 2, (1, 0, 0), 12): (2, 2)
(1, 1, 2, (1, 0, 1), -11): (0, 1)
(1, 1, 2, (1, 0, 1), -8): (0, 1)
(1, 1, 2, (1, 0, 1), -7): (1, 5)
(1, 1, 2, (1, 0, 1), -6): (1, 20)
(1, 1, 2, (1, 0, 1), -5): (6, 45)
(1, 1, 2, (1, 0, 1), -4): (20, 139)
(1, 1, 2, (1, 0, 1), -3): (79, 339)
(1, 1, 2, (1, 0, 1), -2): (247, 673)
(1, 1, 2, (1, 0, 1), -1): (705, 1472)
(1, 1, 2, (1, 0, 1), 0): (3557, 5916)
(1, 1, 2, (1, 0, 1), 1): (2127, 3036)
(1, 1, 2, (1, 0, 1), 2): (1156, 1496)
(1, 1, 2, (1, 0, 1), 3): (589, 705)
(1, 1, 2, (1, 0, 1), 4): (271, 306)
(1, 1, 2, (1, 0, 1), 5): (98, 110)
(1, 1, 2, (1, 0, 1), 6): (49, 51)
(1, 1, 2, (1, 0, 1), 7): (22, 23)
(1, 1, 2, (1, 0, 1), 8): (14, 14)
(1, 1, 2, (1, 0, 1), 9): (5, 5)
(1, 1, 2, (1, 0, 1), 10): (6, 6)
(1, 1, 2, (1, 0, 1), 11): (1, 1)
(1, 1, 2, (1, 0, 1), 13): (1, 1)
(1, 1, 2, (1, 1, 0), -11): (0, 1)
(1, 1, 2, (1, 1, 0), -10): (0, 1)
(1, 1, 2, (1, 1, 0), -9): (0, 3)
(1, 1, 2, (1, 1, 0), -8): (0, 5)
(1, 1, 2, (1, 1, 0), -7): (0, 10)
(1, 1, 2, (1, 1, 0), -6): (2, 36)
(1, 1, 2, (1, 1, 0), -5): (19, 119)
(1, 1, 2, (1, 1, 0), -4): (55, 282)
(1, 1, 2, (1, 1, 0), -3): (177, 702)
(1, 1, 2, (1, 1, 0), -2): (562, 1527)
(1, 1, 2, (1, 1, 0), -1): (1361, 2928)
(1, 1, 2, (1, 1, 0), 0): (7250, 12399)
(1, 1, 2, (1, 1, 0), 1): (3376, 4970)
(1, 1, 2, (1, 1, 0), 2): (1947, 2491)
(1, 1, 2, (1, 1, 0), 3): (961, 1129)
(1, 1, 2, (1, 1, 0), 4): (498, 552)
(1, 1, 2, (1, 1, 0), 5): (157, 168)
(1, 1, 2, (1, 1, 0), 6): (85, 89)
(1, 1, 2, (1, 1, 0), 7): (45, 45)
(1, 1, 2, (1, 1, 0), 8): (11, 12)
(1, 1, 2, (1, 1, 0), 9): (7, 7)
(1, 1, 2, (1, 1, 0), 10): (6, 6)
(1, 1, 2, (1, 1, 0), 11): (3, 3)
(1, 1, 2, (1, 1, 0), 14): (1, 1)
(1, 1, 2, (1, 1, 1), -10): (0, 1)
(1, 1, 2, (1, 1, 1), -9): (0, 1)
(1, 1, 2, (1, 1, 1), -8): (0, 2)
(1, 1, 2, (1, 1, 1), -7): (1, 3)
(1, 1, 2, (1, 1, 1), -6): (3, 14)
(1, 1, 2, (1, 1, 1), -5): (4, 39)
(1, 1, 2, (1, 1, 1), -4): (16, 81)
(1, 1, 2, (1, 1, 1), -3): (68, 227)
(1, 1, 2, (1, 1, 1), -2): (206, 509)
(1, 1, 2, (1, 1, 1), -1): (455, 919)
(1, 1, 2, (1, 1, 1), 0): (2309, 3710)
(1, 1, 2, (1, 1, 1), 1): (1426, 2003)
(1, 1, 2, (1, 1, 1), 2): (812, 1006)
(1, 1, 2, (1, 1, 1), 3): (473, 545)
(1, 1, 2, (1, 1, 1), 4): (171, 185)
(1, 1, 2, (1, 1, 1), 5): (90, 97)
(1, 1, 2, (1, 1, 1), 6): (25, 25)
(1, 1, 2, (1, 1, 1), 7): (19, 19)
(1, 1, 2, (1, 1, 1), 8): (8, 8)
(1, 1, 2, (1, 1, 1), 9): (3, 3)
(1, 1, 2, (1, 1, 1), 10): (4, 4)
(1, 1, 2, (1, 1, 1), 11): (1, 1)
(1, 1, 2, (1, 1, 1), 12): (1, 1)
(1, 1, 2, (1, 1, 1), 14): (2, 2)
(1, 1, 2, (1, 1, 1), 15): (1, 1)
(2, 0, 0, (0, 0, 0), -15): (0, 1)
(2, 0, 0, (0, 0, 0), -14): (0, 2)
(2, 0, 0, (0, 0, 0), -13): (0, 3)
(2, 0, 0, (0, 0, 0), -12): (0, 2)
(2, 0, 0, (0, 0, 0), -11): (0, 9)
(2, 0, 0, (0, 0, 0), -10): (0, 16)
(2, 0, 0, (0, 0, 0), -9): (1, 31)
(2, 0, 0, (0, 0, 0), -8): (0, 59)
(2, 0, 0, (0, 0, 0), -7): (6, 176)
(2, 0, 0, (0, 0, 0), -6): (23, 396)
(2, 0, 0, (0, 0, 0), -5): (94, 1114)
(2, 0, 0, (0, 0, 0), -4): (344, 2911)
(2, 0, 0, (0, 0, 0), -3): (1126, 6337)
(2, 0, 0, (0, 0, 0), -2): (3284, 13001)
(2, 0, 0, (0, 0, 0), -1): (8937, 25321)
(2, 0, 0, (0, 0, 0), 0): (45276, 97190)
(2, 0, 0, (0, 0, 0), 1): (14670, 25103)
(2, 0, 0, (0, 0, 0), 2): (8208, 11948)
(2, 0, 0, (0, 0, 0), 3): (4257, 5499)
(2, 0, 0, (0, 0, 0), 4): (1998, 2336)
(2, 0, 0, (0, 0, 0), 5): (784, 888)
(2, 0, 0, (0, 0, 0), 6): (293, 312)
(2, 0, 0, (0, 0, 0), 7): (109, 115)
(2, 0, 0, (0, 0, 0), 8): (51, 53)
(2, 0, 0, (0, 0, 0), 9): (30, 30)
(2, 0, 0, (0, 0, 0), 10): (13, 13)
(2, 0, 0, (0, 0, 0), 11): (5, 5)
(2, 0, 0, (0, 0, 0), 12): (2, 2)
(2, 0, 0, (0, 0, 1), -7): (0, 1)
(2, 0, 0, (0, 0, 1), -6): (0, 4)
(2, 0, 0, (0, 0, 1), -5): (0, 9)
(2, 0, 0, (0, 0, 1), -4): (5, 26)
(2, 0, 0, (0, 0, 1), -3): (13, 62)
(2, 0, 0, (0, 0, 1), -2): (44, 140)
(2, 0, 0, (0, 0, 1), -1): (106, 247)
(2, 0, 0, (0, 0, 1), 0): (505, 869)
(2, 0, 0, (0, 0, 1), 1): (298, 466)
(2, 0, 0, (0, 0, 1), 2): (166, 232)
(2, 0, 0, (0, 0, 1), 3): (98, 117)
(2, 0, 0, (0, 0, 1), 4): (55, 61)
(2, 0, 0, (0, 0, 1), 5): (24, 24)
(2, 0, 0, (0, 0, 1), 6): (17, 17)
(2, 0, 0, (0, 0, 1), 7): (5, 5)
(2, 0, 0, (0, 0, 1), 8): (5, 5)
(2, 0, 0, (0, 1, 0), -11): (0, 2)
(2, 0, 0, (0, 1, 0), -8): (0, 3)
(2, 0, 0, (0, 1, 0), -7): (0, 12)
(2, 0, 0, (0, 1, 0), -6): (1, 24)
(2, 0, 0, (0, 1, 0), -5): (8, 56)
(2, 0, 0, (0, 1, 0), -4): (34, 206)
(2, 0, 0, (0, 1, 0), -3): (88, 398)
(2, 0, 0, (0, 1, 0), -2): (263, 812)
(2, 0, 0, (0, 1, 0), -1): (691, 1590)
(2, 0, 0, (0, 1, 0), 0): (3080, 5971)
(2, 0, 0, (0, 1, 0), 1): (1406, 2196)
(2, 0, 0, (0, 1, 0), 2): (737, 1013)
(2, 0, 0, (0, 1, 0), 3): (345, 448)
(2, 0, 0, (0, 1, 0), 4): (159, 183)
(2, 0, 0, (0, 1, 0), 5): (88, 98)
(2, 0, 0, (0, 1, 0), 6): (33, 34)
(2, 0, 0, (0, 1, 0), 7): (14, 14)
(2, 0, 0, (0, 1, 0), 8): (6, 6)
(2, 0, 0, (0, 1, 0), 9): (2, 2)
(2, 0, 0, (0, 1, 0), 10): (2, 2)
(2, 0, 0, (0, 1, 1), -9): (0, 1)
(2, 0, 0, (0, 1, 1), -7): (0, 4)
(2, 0, 0, (0, 1, 1), -6): (1, 7)
(2, 0, 0, (0, 1, 1), -5): (1, 10)
(2, 0, 0, (0, 1, 1), -4): (9, 39)
(2, 0, 0, (0, 1, 1), -3): (18, 72)
(2, 0, 0, (0, 1, 1), -2): (58, 168)
(2, 0, 0, (0, 1, 1), -1): (154, 315)
(2, 0, 0, (0, 1, 1), 0): (661, 1042)
(2, 0, 0, (0, 1, 1), 1): (375, 548)
(2, 0, 0, (0, 1, 1), 2): (202, 264)
(2, 0, 0, (0, 1, 1), 3): (93, 108)
(2, 0, 0, (0, 1, 1), 4): (50, 58)
(2, 0, 0, (0, 1, 1), 5): (20, 23)
(2, 0, 0, (0, 1, 1), 6): (14, 14)
(2, 0, 0, (0, 1, 1), 7): (7, 7)
(2, 0, 0, (0, 1, 1), 8): (6, 6)
(2, 0, 0, (1, 0, 0), -14): (0, 1)
(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, 6)
(2, 0, 0, (1, 0, 0), -9): (0, 12)
(2, 0, 0, (1, 0, 0), -8): (0, 16)
(2, 0, 0, (1, 0, 0), -7): (3, 46)
(2, 0, 0, (1, 0, 0), -6): (6, 98)
(2, 0, 0, (1, 0, 0), -5): (33, 265)
(2, 0, 0, (1, 0, 0), -4): (108, 761)
(2, 0, 0, (1, 0, 0), -3): (353, 1647)
(2, 0, 0, (1, 0, 0), -2): (939, 3373)
(2, 0, 0, (1, 0, 0), -1): (2548, 6442)
(2, 0, 0, (1, 0, 0), 0): (12189, 24498)
(2, 0, 0, (1, 0, 0), 1): (4062, 6610)
(2, 0, 0, (1, 0, 0), 2): (2273, 3149)
(2, 0, 0, (1, 0, 0), 3): (1109, 1438)
(2, 0, 0, (1, 0, 0), 4): (553, 639)
(2, 0, 0, (1, 0, 0), 5): (195, 226)
(2, 0, 0, (1, 0, 0), 6): (99, 103)
(2, 0, 0, (1, 0, 0), 7): (35, 35)
(2, 0, 0, (1, 0, 0), 8): (22, 23)
(2, 0, 0, (1, 0, 0), 9): (13, 13)
(2, 0, 0, (1, 0, 0), 10): (4, 4)
(2, 0, 0, (1, 0, 0), 11): (2, 2)
(2, 0, 0, (1, 0, 0), 12): (1, 1)
(2, 0, 0, (1, 0, 1), -7): (0, 2)
(2, 0, 0, (1, 0, 1), -6): (2, 4)
(2, 0, 0, (1, 0, 1), -5): (1, 9)
(2, 0, 0, (1, 0, 1), -4): (15, 72)
(2, 0, 0, (1, 0, 1), -3): (32, 114)
(2, 0, 0, (1, 0, 1), -2): (103, 272)
(2, 0, 0, (1, 0, 1), -1): (257, 515)
(2, 0, 0, (1, 0, 1), 0): (1062, 1781)
(2, 0, 0, (1, 0, 1), 1): (570, 860)
(2, 0, 0, (1, 0, 1), 2): (292, 392)
(2, 0, 0, (1, 0, 1), 3): (151, 188)
(2, 0, 0, (1, 0, 1), 4): (67, 71)
(2, 0, 0, (1, 0, 1), 5): (48, 51)
(2, 0, 0, (1, 0, 1), 6): (28, 29)
(2, 0, 0, (1, 0, 1), 7): (8, 9)
(2, 0, 0, (1, 0, 1), 8): (4, 4)
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(2, 0, 0, (1, 1, 0), -9): (0, 3)
(2, 0, 0, (1, 1, 0), -8): (0, 4)
(2, 0, 0, (1, 1, 0), -7): (3, 13)
(2, 0, 0, (1, 1, 0), -6): (1, 16)
(2, 0, 0, (1, 1, 0), -5): (7, 61)
(2, 0, 0, (1, 1, 0), -4): (38, 191)
(2, 0, 0, (1, 1, 0), -3): (94, 381)
(2, 0, 0, (1, 1, 0), -2): (271, 798)
(2, 0, 0, (1, 1, 0), -1): (645, 1455)
(2, 0, 0, (1, 1, 0), 0): (2895, 5249)
(2, 0, 0, (1, 1, 0), 1): (1173, 1757)
(2, 0, 0, (1, 1, 0), 2): (601, 795)
(2, 0, 0, (1, 1, 0), 3): (259, 327)
(2, 0, 0, (1, 1, 0), 4): (175, 196)
(2, 0, 0, (1, 1, 0), 5): (74, 74)
(2, 0, 0, (1, 1, 0), 6): (35, 38)
(2, 0, 0, (1, 1, 0), 7): (18, 18)
(2, 0, 0, (1, 1, 0), 8): (11, 11)
(2, 0, 0, (1, 1, 0), 9): (5, 5)
(2, 0, 0, (1, 1, 0), 10): (3, 3)
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(2, 0, 0, (1, 1, 1), -6): (0, 6)
(2, 0, 0, (1, 1, 1), -5): (4, 14)
(2, 0, 0, (1, 1, 1), -4): (11, 35)
(2, 0, 0, (1, 1, 1), -3): (26, 75)
(2, 0, 0, (1, 1, 1), -2): (65, 159)
(2, 0, 0, (1, 1, 1), -1): (186, 326)
(2, 0, 0, (1, 1, 1), 0): (646, 1044)
(2, 0, 0, (1, 1, 1), 1): (357, 494)
(2, 0, 0, (1, 1, 1), 2): (199, 231)
(2, 0, 0, (1, 1, 1), 3): (89, 101)
(2, 0, 0, (1, 1, 1), 4): (61, 67)
(2, 0, 0, (1, 1, 1), 5): (23, 24)
(2, 0, 0, (1, 1, 1), 6): (11, 12)
(2, 0, 0, (1, 1, 1), 7): (9, 9)
(2, 0, 0, (1, 1, 1), 8): (4, 4)
(2, 0, 0, (1, 1, 1), 9): (4, 4)
(2, 0, 1, (0, 0, 0), -15): (0, 1)
(2, 0, 1, (0, 0, 0), -13): (0, 2)
(2, 0, 1, (0, 0, 0), -12): (0, 2)
(2, 0, 1, (0, 0, 0), -11): (0, 7)
(2, 0, 1, (0, 0, 0), -10): (0, 9)
(2, 0, 1, (0, 0, 0), -9): (1, 18)
(2, 0, 1, (0, 0, 0), -8): (0, 41)
(2, 0, 1, (0, 0, 0), -7): (3, 113)
(2, 0, 1, (0, 0, 0), -6): (15, 267)
(2, 0, 1, (0, 0, 0), -5): (49, 771)
(2, 0, 1, (0, 0, 0), -4): (183, 1907)
(2, 0, 1, (0, 0, 0), -3): (681, 4230)
(2, 0, 1, (0, 0, 0), -2): (2028, 8730)
(2, 0, 1, (0, 0, 0), -1): (5636, 17266)
(2, 0, 1, (0, 0, 0), 0): (29228, 65952)
(2, 0, 1, (0, 0, 0), 1): (10865, 19275)
(2, 0, 1, (0, 0, 0), 2): (6278, 9438)
(2, 0, 1, (0, 0, 0), 3): (3419, 4433)
(2, 0, 1, (0, 0, 0), 4): (1604, 1880)
(2, 0, 1, (0, 0, 0), 5): (688, 784)
(2, 0, 1, (0, 0, 0), 6): (284, 307)
(2, 0, 1, (0, 0, 0), 7): (135, 144)
(2, 0, 1, (0, 0, 0), 8): (70, 72)
(2, 0, 1, (0, 0, 0), 9): (44, 46)
(2, 0, 1, (0, 0, 0), 10): (17, 17)
(2, 0, 1, (0, 0, 0), 11): (4, 4)
(2, 0, 1, (0, 0, 0), 12): (1, 1)
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(2, 0, 1, (0, 0, 1), -7): (0, 3)
(2, 0, 1, (0, 0, 1), -6): (0, 8)
(2, 0, 1, (0, 0, 1), -5): (1, 26)
(2, 0, 1, (0, 0, 1), -4): (5, 78)
(2, 0, 1, (0, 0, 1), -3): (27, 166)
(2, 0, 1, (0, 0, 1), -2): (96, 328)
(2, 0, 1, (0, 0, 1), -1): (306, 758)
(2, 0, 1, (0, 0, 1), 0): (1416, 2814)
(2, 0, 1, (0, 0, 1), 1): (988, 1550)
(2, 0, 1, (0, 0, 1), 2): (642, 904)
(2, 0, 1, (0, 0, 1), 3): (329, 442)
(2, 0, 1, (0, 0, 1), 4): (211, 238)
(2, 0, 1, (0, 0, 1), 5): (105, 114)
(2, 0, 1, (0, 0, 1), 6): (52, 52)
(2, 0, 1, (0, 0, 1), 7): (12, 13)
(2, 0, 1, (0, 0, 1), 8): (8, 8)
(2, 0, 1, (0, 0, 1), 9): (7, 7)
(2, 0, 1, (0, 0, 1), 10): (4, 4)
(2, 0, 1, (0, 0, 1), 11): (1, 1)
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(2, 0, 1, (0, 1, 0), -10): (0, 1)
(2, 0, 1, (0, 1, 0), -9): (0, 2)
(2, 0, 1, (0, 1, 0), -8): (0, 5)
(2, 0, 1, (0, 1, 0), -7): (0, 17)
(2, 0, 1, (0, 1, 0), -6): (3, 34)
(2, 0, 1, (0, 1, 0), -5): (9, 89)
(2, 0, 1, (0, 1, 0), -4): (30, 246)
(2, 0, 1, (0, 1, 0), -3): (119, 555)
(2, 0, 1, (0, 1, 0), -2): (305, 1147)
(2, 0, 1, (0, 1, 0), -1): (855, 2342)
(2, 0, 1, (0, 1, 0), 0): (4388, 9064)
(2, 0, 1, (0, 1, 0), 1): (2465, 4074)
(2, 0, 1, (0, 1, 0), 2): (1625, 2288)
(2, 0, 1, (0, 1, 0), 3): (872, 1137)
(2, 0, 1, (0, 1, 0), 4): (460, 548)
(2, 0, 1, (0, 1, 0), 5): (238, 265)
(2, 0, 1, (0, 1, 0), 6): (110, 117)
(2, 0, 1, (0, 1, 0), 7): (63, 64)
(2, 0, 1, (0, 1, 0), 8): (25, 26)
(2, 0, 1, (0, 1, 0), 9): (12, 12)
(2, 0, 1, (0, 1, 0), 10): (6, 6)
(2, 0, 1, (0, 1, 0), 11): (2, 2)
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(2, 0, 1, (0, 1, 1), -9): (0, 1)
(2, 0, 1, (0, 1, 1), -8): (0, 1)
(2, 0, 1, (0, 1, 1), -7): (0, 1)
(2, 0, 1, (0, 1, 1), -6): (0, 6)
(2, 0, 1, (0, 1, 1), -5): (2, 20)
(2, 0, 1, (0, 1, 1), -4): (7, 73)
(2, 0, 1, (0, 1, 1), -3): (44, 157)
(2, 0, 1, (0, 1, 1), -2): (137, 363)
(2, 0, 1, (0, 1, 1), -1): (293, 711)
(2, 0, 1, (0, 1, 1), 0): (1354, 2434)
(2, 0, 1, (0, 1, 1), 1): (957, 1456)
(2, 0, 1, (0, 1, 1), 2): (625, 843)
(2, 0, 1, (0, 1, 1), 3): (321, 411)
(2, 0, 1, (0, 1, 1), 4): (178, 205)
(2, 0, 1, (0, 1, 1), 5): (87, 101)
(2, 0, 1, (0, 1, 1), 6): (43, 48)
(2, 0, 1, (0, 1, 1), 7): (23, 23)
(2, 0, 1, (0, 1, 1), 8): (13, 14)
(2, 0, 1, (0, 1, 1), 9): (3, 3)
(2, 0, 1, (0, 1, 1), 10): (1, 1)
(2, 0, 1, (0, 1, 1), 11): (1, 1)
(2, 0, 1, (1, 0, 0), -14): (0, 1)
(2, 0, 1, (1, 0, 0), -13): (0, 1)
(2, 0, 1, (1, 0, 0), -10): (0, 5)
(2, 0, 1, (1, 0, 0), -9): (0, 9)
(2, 0, 1, (1, 0, 0), -8): (0, 13)
(2, 0, 1, (1, 0, 0), -7): (2, 46)
(2, 0, 1, (1, 0, 0), -6): (9, 128)
(2, 0, 1, (1, 0, 0), -5): (41, 326)
(2, 0, 1, (1, 0, 0), -4): (102, 860)
(2, 0, 1, (1, 0, 0), -3): (333, 1812)
(2, 0, 1, (1, 0, 0), -2): (902, 3712)
(2, 0, 1, (1, 0, 0), -1): (2518, 7118)
(2, 0, 1, (1, 0, 0), 0): (12409, 26513)
(2, 0, 1, (1, 0, 0), 1): (5064, 8525)
(2, 0, 1, (1, 0, 0), 2): (2880, 4202)
(2, 0, 1, (1, 0, 0), 3): (1542, 1992)
(2, 0, 1, (1, 0, 0), 4): (791, 936)
(2, 0, 1, (1, 0, 0), 5): (370, 422)
(2, 0, 1, (1, 0, 0), 6): (195, 208)
(2, 0, 1, (1, 0, 0), 7): (76, 77)
(2, 0, 1, (1, 0, 0), 8): (35, 38)
(2, 0, 1, (1, 0, 0), 9): (25, 27)
(2, 0, 1, (1, 0, 0), 10): (5, 5)
(2, 0, 1, (1, 0, 0), 11): (3, 3)
(2, 0, 1, (1, 0, 0), 12): (1, 1)
(2, 0, 1, (1, 0, 1), -10): (0, 1)
(2, 0, 1, (1, 0, 1), -8): (0, 1)
(2, 0, 1, (1, 0, 1), -7): (0, 6)
(2, 0, 1, (1, 0, 1), -6): (2, 14)
(2, 0, 1, (1, 0, 1), -5): (7, 39)
(2, 0, 1, (1, 0, 1), -4): (17, 99)
(2, 0, 1, (1, 0, 1), -3): (53, 214)
(2, 0, 1, (1, 0, 1), -2): (135, 435)
(2, 0, 1, (1, 0, 1), -1): (432, 970)
(2, 0, 1, (1, 0, 1), 0): (1735, 3240)
(2, 0, 1, (1, 0, 1), 1): (1153, 1788)
(2, 0, 1, (1, 0, 1), 2): (692, 935)
(2, 0, 1, (1, 0, 1), 3): (406, 497)
(2, 0, 1, (1, 0, 1), 4): (225, 266)
(2, 0, 1, (1, 0, 1), 5): (129, 140)
(2, 0, 1, (1, 0, 1), 6): (62, 66)
(2, 0, 1, (1, 0, 1), 7): (30, 31)
(2, 0, 1, (1, 0, 1), 8): (16, 17)
(2, 0, 1, (1, 0, 1), 9): (12, 12)
(2, 0, 1, (1, 0, 1), 10): (5, 5)
(2, 0, 1, (1, 1, 0), -14): (0, 1)
(2, 0, 1, (1, 1, 0), -10): (0, 1)
(2, 0, 1, (1, 1, 0), -9): (0, 7)
(2, 0, 1, (1, 1, 0), -8): (0, 6)
(2, 0, 1, (1, 1, 0), -7): (3, 15)
(2, 0, 1, (1, 1, 0), -6): (3, 29)
(2, 0, 1, (1, 1, 0), -5): (19, 88)
(2, 0, 1, (1, 1, 0), -4): (60, 302)
(2, 0, 1, (1, 1, 0), -3): (113, 555)
(2, 0, 1, (1, 1, 0), -2): (323, 1166)
(2, 0, 1, (1, 1, 0), -1): (824, 2150)
(2, 0, 1, (1, 1, 0), 0): (3908, 7747)
(2, 0, 1, (1, 1, 0), 1): (2142, 3357)
(2, 0, 1, (1, 1, 0), 2): (1176, 1638)
(2, 0, 1, (1, 1, 0), 3): (664, 849)
(2, 0, 1, (1, 1, 0), 4): (407, 477)
(2, 0, 1, (1, 1, 0), 5): (211, 229)
(2, 0, 1, (1, 1, 0), 6): (101, 109)
(2, 0, 1, (1, 1, 0), 7): (55, 57)
(2, 0, 1, (1, 1, 0), 8): (19, 19)
(2, 0, 1, (1, 1, 0), 9): (17, 17)
(2, 0, 1, (1, 1, 0), 10): (7, 7)
(2, 0, 1, (1, 1, 0), 11): (2, 2)
(2, 0, 1, (1, 1, 0), 12): (1, 1)
(2, 0, 1, (1, 1, 1), -9): (0, 1)
(2, 0, 1, (1, 1, 1), -8): (0, 4)
(2, 0, 1, (1, 1, 1), -7): (2, 6)
(2, 0, 1, (1, 1, 1), -6): (1, 10)
(2, 0, 1, (1, 1, 1), -5): (5, 20)
(2, 0, 1, (1, 1, 1), -4): (15, 69)
(2, 0, 1, (1, 1, 1), -3): (38, 149)
(2, 0, 1, (1, 1, 1), -2): (110, 292)
(2, 0, 1, (1, 1, 1), -1): (257, 529)
(2, 0, 1, (1, 1, 1), 0): (1195, 2074)
(2, 0, 1, (1, 1, 1), 1): (810, 1201)
(2, 0, 1, (1, 1, 1), 2): (468, 605)
(2, 0, 1, (1, 1, 1), 3): (317, 380)
(2, 0, 1, (1, 1, 1), 4): (195, 222)
(2, 0, 1, (1, 1, 1), 5): (114, 126)
(2, 0, 1, (1, 1, 1), 6): (50, 57)
(2, 0, 1, (1, 1, 1), 7): (27, 27)
(2, 0, 1, (1, 1, 1), 8): (14, 15)
(2, 0, 1, (1, 1, 1), 9): (4, 4)
(2, 0, 1, (1, 1, 1), 10): (4, 4)
(2, 0, 1, (1, 1, 1), 11): (4, 4)
(2, 0, 2, (0, 0, 0), -15): (0, 1)
(2, 0, 2, (0, 0, 0), -13): (0, 2)
(2, 0, 2, (0, 0, 0), -12): (0, 2)
(2, 0, 2, (0, 0, 0), -11): (0, 6)
(2, 0, 2, (0, 0, 0), -10): (0, 10)
(2, 0, 2, (0, 0, 0), -9): (1, 16)
(2, 0, 2, (0, 0, 0), -8): (0, 37)
(2, 0, 2, (0, 0, 0), -7): (1, 81)
(2, 0, 2, (0, 0, 0), -6): (7, 189)
(2, 0, 2, (0, 0, 0), -5): (25, 566)
(2, 0, 2, (0, 0, 0), -4): (117, 1388)
(2, 0, 2, (0, 0, 0), -3): (463, 3217)
(2, 0, 2, (0, 0, 0), -2): (1469, 6644)
(2, 0, 2, (0, 0, 0), -1): (4116, 13218)
(2, 0, 2, (0, 0, 0), 0): (21238, 49955)
(2, 0, 2, (0, 0, 0), 1): (9181, 16745)
(2, 0, 2, (0, 0, 0), 2): (5496, 8354)
(2, 0, 2, (0, 0, 0), 3): (3121, 4117)
(2, 0, 2, (0, 0, 0), 4): (1549, 1833)
(2, 0, 2, (0, 0, 0), 5): (765, 896)
(2, 0, 2, (0, 0, 0), 6): (425, 470)
(2, 0, 2, (0, 0, 0), 7): (224, 237)
(2, 0, 2, (0, 0, 0), 8): (108, 113)
(2, 0, 2, (0, 0, 0), 9): (48, 48)
(2, 0, 2, (0, 0, 0), 10): (24, 24)
(2, 0, 2, (0, 0, 0), 11): (9, 9)
(2, 0, 2, (0, 0, 0), 12): (4, 4)
(2, 0, 2, (0, 0, 0), 13): (1, 1)
(2, 0, 2, (0, 0, 1), -9): (0, 2)
(2, 0, 2, (0, 0, 1), -8): (0, 2)
(2, 0, 2, (0, 0, 1), -7): (0, 4)
(2, 0, 2, (0, 0, 1), -6): (1, 10)
(2, 0, 2, (0, 0, 1), -5): (2, 34)
(2, 0, 2, (0, 0, 1), -4): (15, 127)
(2, 0, 2, (0, 0, 1), -3): (40, 256)
(2, 0, 2, (0, 0, 1), -2): (131, 549)
(2, 0, 2, (0, 0, 1), -1): (388, 1101)
(2, 0, 2, (0, 0, 1), 0): (1782, 3894)
(2, 0, 2, (0, 0, 1), 1): (1409, 2468)
(2, 0, 2, (0, 0, 1), 2): (1048, 1494)
(2, 0, 2, (0, 0, 1), 3): (615, 834)
(2, 0, 2, (0, 0, 1), 4): (360, 431)
(2, 0, 2, (0, 0, 1), 5): (201, 228)
(2, 0, 2, (0, 0, 1), 6): (89, 94)
(2, 0, 2, (0, 0, 1), 7): (48, 50)
(2, 0, 2, (0, 0, 1), 8): (30, 30)
(2, 0, 2, (0, 0, 1), 9): (8, 8)
(2, 0, 2, (0, 0, 1), 10): (6, 6)
(2, 0, 2, (0, 0, 1), 11): (2, 2)
(2, 0, 2, (0, 0, 1), 12): (1, 1)
(2, 0, 2, (0, 1, 0), -10): (0, 3)
(2, 0, 2, (0, 1, 0), -9): (0, 1)
(2, 0, 2, (0, 1, 0), -8): (0, 6)
(2, 0, 2, (0, 1, 0), -7): (0, 19)
(2, 0, 2, (0, 1, 0), -6): (1, 33)
(2, 0, 2, (0, 1, 0), -5): (8, 111)
(2, 0, 2, (0, 1, 0), -4): (34, 292)
(2, 0, 2, (0, 1, 0), -3): (116, 654)
(2, 0, 2, (0, 1, 0), -2): (331, 1382)
(2, 0, 2, (0, 1, 0), -1): (938, 2864)
(2, 0, 2, (0, 1, 0), 0): (4797, 10660)
(2, 0, 2, (0, 1, 0), 1): (3364, 5875)
(2, 0, 2, (0, 1, 0), 2): (2484, 3624)
(2, 0, 2, (0, 1, 0), 3): (1517, 1974)
(2, 0, 2, (0, 1, 0), 4): (869, 1049)
(2, 0, 2, (0, 1, 0), 5): (440, 512)
(2, 0, 2, (0, 1, 0), 6): (252, 271)
(2, 0, 2, (0, 1, 0), 7): (108, 115)
(2, 0, 2, (0, 1, 0), 8): (43, 46)
(2, 0, 2, (0, 1, 0), 9): (24, 24)
(2, 0, 2, (0, 1, 0), 10): (11, 11)
(2, 0, 2, (0, 1, 0), 11): (5, 5)
(2, 0, 2, (0, 1, 0), 12): (3, 3)
(2, 0, 2, (0, 1, 1), -10): (0, 4)
(2, 0, 2, (0, 1, 1), -9): (0, 2)
(2, 0, 2, (0, 1, 1), -8): (0, 2)
(2, 0, 2, (0, 1, 1), -7): (0, 1)
(2, 0, 2, (0, 1, 1), -6): (0, 14)
(2, 0, 2, (0, 1, 1), -5): (4, 33)
(2, 0, 2, (0, 1, 1), -4): (7, 78)
(2, 0, 2, (0, 1, 1), -3): (28, 161)
(2, 0, 2, (0, 1, 1), -2): (119, 388)
(2, 0, 2, (0, 1, 1), -1): (283, 787)
(2, 0, 2, (0, 1, 1), 0): (1145, 2365)
(2, 0, 2, (0, 1, 1), 1): (1090, 1783)
(2, 0, 2, (0, 1, 1), 2): (793, 1115)
(2, 0, 2, (0, 1, 1), 3): (406, 530)
(2, 0, 2, (0, 1, 1), 4): (218, 263)
(2, 0, 2, (0, 1, 1), 5): (122, 146)
(2, 0, 2, (0, 1, 1), 6): (65, 69)
(2, 0, 2, (0, 1, 1), 7): (30, 32)
(2, 0, 2, (0, 1, 1), 8): (14, 14)
(2, 0, 2, (0, 1, 1), 9): (10, 10)
(2, 0, 2, (0, 1, 1), 10): (5, 5)
(2, 0, 2, (0, 1, 1), 11): (2, 2)
(2, 0, 2, (0, 1, 1), 12): (4, 4)
(2, 0, 2, (0, 1, 1), 13): (1, 1)
(2, 0, 2, (0, 1, 1), 14): (1, 1)
(2, 0, 2, (1, 0, 0), -15): (0, 1)
(2, 0, 2, (1, 0, 0), -13): (0, 2)
(2, 0, 2, (1, 0, 0), -10): (0, 8)
(2, 0, 2, (1, 0, 0), -9): (0, 5)
(2, 0, 2, (1, 0, 0), -8): (0, 10)
(2, 0, 2, (1, 0, 0), -7): (1, 43)
(2, 0, 2, (1, 0, 0), -6): (6, 110)
(2, 0, 2, (1, 0, 0), -5): (24, 292)
(2, 0, 2, (1, 0, 0), -4): (74, 744)
(2, 0, 2, (1, 0, 0), -3): (274, 1742)
(2, 0, 2, (1, 0, 0), -2): (805, 3439)
(2, 0, 2, (1, 0, 0), -1): (2146, 6535)
(2, 0, 2, (1, 0, 0), 0): (10546, 23705)
(2, 0, 2, (1, 0, 0), 1): (5401, 9465)
(2, 0, 2, (1, 0, 0), 2): (3244, 4883)
(2, 0, 2, (1, 0, 0), 3): (2089, 2692)
(2, 0, 2, (1, 0, 0), 4): (1138, 1388)
(2, 0, 2, (1, 0, 0), 5): (590, 688)
(2, 0, 2, (1, 0, 0), 6): (329, 357)
(2, 0, 2, (1, 0, 0), 7): (167, 174)
(2, 0, 2, (1, 0, 0), 8): (78, 81)
(2, 0, 2, (1, 0, 0), 9): (41, 44)
(2, 0, 2, (1, 0, 0), 10): (16, 16)
(2, 0, 2, (1, 0, 0), 11): (9, 9)
(2, 0, 2, (1, 0, 0), 12): (2, 2)
(2, 0, 2, (1, 0, 0), 13): (1, 1)
(2, 0, 2, (1, 0, 1), -9): (0, 3)
(2, 0, 2, (1, 0, 1), -8): (0, 1)
(2, 0, 2, (1, 0, 1), -7): (0, 3)
(2, 0, 2, (1, 0, 1), -6): (1, 9)
(2, 0, 2, (1, 0, 1), -5): (5, 46)
(2, 0, 2, (1, 0, 1), -4): (12, 107)
(2, 0, 2, (1, 0, 1), -3): (47, 247)
(2, 0, 2, (1, 0, 1), -2): (137, 519)
(2, 0, 2, (1, 0, 1), -1): (405, 1059)
(2, 0, 2, (1, 0, 1), 0): (1689, 3597)
(2, 0, 2, (1, 0, 1), 1): (1413, 2364)
(2, 0, 2, (1, 0, 1), 2): (970, 1370)
(2, 0, 2, (1, 0, 1), 3): (641, 839)
(2, 0, 2, (1, 0, 1), 4): (383, 450)
(2, 0, 2, (1, 0, 1), 5): (203, 240)
(2, 0, 2, (1, 0, 1), 6): (88, 94)
(2, 0, 2, (1, 0, 1), 7): (56, 61)
(2, 0, 2, (1, 0, 1), 8): (24, 24)
(2, 0, 2, (1, 0, 1), 9): (19, 19)
(2, 0, 2, (1, 0, 1), 10): (3, 3)
(2, 0, 2, (1, 0, 1), 12): (3, 3)
(2, 0, 2, (1, 1, 0), -14): (0, 1)
(2, 0, 2, (1, 1, 0), -13): (0, 1)
(2, 0, 2, (1, 1, 0), -10): (0, 1)
(2, 0, 2, (1, 1, 0), -9): (0, 3)
(2, 0, 2, (1, 1, 0), -8): (0, 5)
(2, 0, 2, (1, 1, 0), -7): (0, 23)
(2, 0, 2, (1, 1, 0), -6): (5, 36)
(2, 0, 2, (1, 1, 0), -5): (15, 115)
(2, 0, 2, (1, 1, 0), -4): (37, 300)
(2, 0, 2, (1, 1, 0), -3): (118, 659)
(2, 0, 2, (1, 1, 0), -2): (324, 1316)
(2, 0, 2, (1, 1, 0), -1): (808, 2317)
(2, 0, 2, (1, 1, 0), 0): (4081, 8583)
(2, 0, 2, (1, 1, 0), 1): (2618, 4414)
(2, 0, 2, (1, 1, 0), 2): (1628, 2381)
(2, 0, 2, (1, 1, 0), 3): (1066, 1388)
(2, 0, 2, (1, 1, 0), 4): (639, 771)
(2, 0, 2, (1, 1, 0), 5): (334, 379)
(2, 0, 2, (1, 1, 0), 6): (200, 216)
(2, 0, 2, (1, 1, 0), 7): (95, 100)
(2, 0, 2, (1, 1, 0), 8): (36, 39)
(2, 0, 2, (1, 1, 0), 9): (19, 20)
(2, 0, 2, (1, 1, 0), 10): (9, 9)
(2, 0, 2, (1, 1, 0), 11): (7, 7)
(2, 0, 2, (1, 1, 0), 12): (1, 1)
(2, 0, 2, (1, 1, 0), 13): (1, 1)
(2, 0, 2, (1, 1, 1), -8): (0, 3)
(2, 0, 2, (1, 1, 1), -7): (0, 4)
(2, 0, 2, (1, 1, 1), -6): (2, 10)
(2, 0, 2, (1, 1, 1), -5): (5, 31)
(2, 0, 2, (1, 1, 1), -4): (12, 73)
(2, 0, 2, (1, 1, 1), -3): (38, 197)
(2, 0, 2, (1, 1, 1), -2): (118, 366)
(2, 0, 2, (1, 1, 1), -1): (258, 694)
(2, 0, 2, (1, 1, 1), 0): (1221, 2438)
(2, 0, 2, (1, 1, 1), 1): (935, 1486)
(2, 0, 2, (1, 1, 1), 2): (648, 893)
(2, 0, 2, (1, 1, 1), 3): (395, 524)
(2, 0, 2, (1, 1, 1), 4): (256, 292)
(2, 0, 2, (1, 1, 1), 5): (142, 168)
(2, 0, 2, (1, 1, 1), 6): (80, 84)
(2, 0, 2, (1, 1, 1), 7): (26, 29)
(2, 0, 2, (1, 1, 1), 8): (16, 17)
(2, 0, 2, (1, 1, 1), 9): (14, 14)
(2, 0, 2, (1, 1, 1), 10): (3, 3)
(2, 0, 2, (1, 1, 1), 11): (3, 3)
(2, 1, 0, (0, 0, 0), -14): (0, 1)
(2, 1, 0, (0, 0, 0), -13): (0, 4)
(2, 1, 0, (0, 0, 0), -12): (0, 14)
(2, 1, 0, (0, 0, 0), -11): (0, 18)
(2, 1, 0, (0, 0, 0), -10): (0, 60)
(2, 1, 0, (0, 0, 0), -9): (4, 136)
(2, 1, 0, (0, 0, 0), -8): (13, 260)
(2, 1, 0, (0, 0, 0), -7): (32, 550)
(2, 1, 0, (0, 0, 0), -6): (90, 1178)
(2, 1, 0, (0, 0, 0), -5): (330, 2132)
(2, 1, 0, (0, 0, 0), -4): (781, 4297)
(2, 1, 0, (0, 0, 0), -3): (2297, 8961)
(2, 1, 0, (0, 0, 0), -2): (6081, 17591)
(2, 1, 0, (0, 0, 0), -1): (15314, 33664)
(2, 1, 0, (0, 0, 0), 0): (45645, 78562)
(2, 1, 0, (0, 0, 0), 1): (16645, 23896)
(2, 1, 0, (0, 0, 0), 2): (9363, 11911)
(2, 1, 0, (0, 0, 0), 3): (4899, 5725)
(2, 1, 0, (0, 0, 0), 4): (2331, 2545)
(2, 1, 0, (0, 0, 0), 5): (937, 996)
(2, 1, 0, (0, 0, 0), 6): (359, 369)
(2, 1, 0, (0, 0, 0), 7): (167, 172)
(2, 1, 0, (0, 0, 0), 8): (80, 80)
(2, 1, 0, (0, 0, 0), 9): (39, 40)
(2, 1, 0, (0, 0, 0), 10): (19, 19)
(2, 1, 0, (0, 0, 0), 11): (7, 7)
(2, 1, 0, (0, 0, 0), 12): (3, 3)
(2, 1, 0, (0, 0, 0), 13): (3, 3)
(2, 1, 0, (0, 0, 0), 14): (1, 1)
(2, 1, 0, (0, 0, 0), 15): (1, 1)
(2, 1, 0, (0, 0, 1), -14): (0, 1)
(2, 1, 0, (0, 0, 1), -11): (0, 1)
(2, 1, 0, (0, 0, 1), -10): (0, 1)
(2, 1, 0, (0, 0, 1), -8): (1, 2)
(2, 1, 0, (0, 0, 1), -7): (0, 3)
(2, 1, 0, (0, 0, 1), -6): (1, 6)
(2, 1, 0, (0, 0, 1), -5): (4, 16)
(2, 1, 0, (0, 0, 1), -4): (7, 40)
(2, 1, 0, (0, 0, 1), -3): (30, 94)
(2, 1, 0, (0, 0, 1), -2): (84, 195)
(2, 1, 0, (0, 0, 1), -1): (205, 371)
(2, 1, 0, (0, 0, 1), 0): (565, 852)
(2, 1, 0, (0, 0, 1), 1): (408, 501)
(2, 1, 0, (0, 0, 1), 2): (235, 276)
(2, 1, 0, (0, 0, 1), 3): (112, 124)
(2, 1, 0, (0, 0, 1), 4): (74, 77)
(2, 1, 0, (0, 0, 1), 5): (25, 26)
(2, 1, 0, (0, 0, 1), 6): (16, 16)
(2, 1, 0, (0, 0, 1), 7): (5, 5)
(2, 1, 0, (0, 0, 1), 8): (5, 5)
(2, 1, 0, (0, 0, 1), 9): (3, 3)
(2, 1, 0, (0, 0, 1), 11): (1, 1)
(2, 1, 0, (0, 0, 1), 12): (2, 2)
(2, 1, 0, (0, 1, 0), -14): (0, 1)
(2, 1, 0, (0, 1, 0), -12): (0, 1)
(2, 1, 0, (0, 1, 0), -10): (0, 3)
(2, 1, 0, (0, 1, 0), -9): (2, 11)
(2, 1, 0, (0, 1, 0), -8): (1, 19)
(2, 1, 0, (0, 1, 0), -7): (2, 26)
(2, 1, 0, (0, 1, 0), -6): (8, 76)
(2, 1, 0, (0, 1, 0), -5): (19, 120)
(2, 1, 0, (0, 1, 0), -4): (54, 267)
(2, 1, 0, (0, 1, 0), -3): (181, 559)
(2, 1, 0, (0, 1, 0), -2): (495, 1136)
(2, 1, 0, (0, 1, 0), -1): (1211, 2277)
(2, 1, 0, (0, 1, 0), 0): (3347, 5219)
(2, 1, 0, (0, 1, 0), 1): (1535, 2052)
(2, 1, 0, (0, 1, 0), 2): (888, 1090)
(2, 1, 0, (0, 1, 0), 3): (473, 528)
(2, 1, 0, (0, 1, 0), 4): (235, 250)
(2, 1, 0, (0, 1, 0), 5): (100, 104)
(2, 1, 0, (0, 1, 0), 6): (45, 48)
(2, 1, 0, (0, 1, 0), 7): (21, 21)
(2, 1, 0, (0, 1, 0), 8): (23, 23)
(2, 1, 0, (0, 1, 0), 9): (4, 4)
(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), -10): (0, 1)
(2, 1, 0, (0, 1, 1), -8): (1, 7)
(2, 1, 0, (0, 1, 1), -7): (3, 15)
(2, 1, 0, (0, 1, 1), -6): (2, 10)
(2, 1, 0, (0, 1, 1), -5): (7, 33)
(2, 1, 0, (0, 1, 1), -4): (19, 65)
(2, 1, 0, (0, 1, 1), -3): (42, 116)
(2, 1, 0, (0, 1, 1), -2): (107, 230)
(2, 1, 0, (0, 1, 1), -1): (309, 460)
(2, 1, 0, (0, 1, 1), 0): (737, 1034)
(2, 1, 0, (0, 1, 1), 1): (386, 498)
(2, 1, 0, (0, 1, 1), 2): (226, 257)
(2, 1, 0, (0, 1, 1), 3): (109, 118)
(2, 1, 0, (0, 1, 1), 4): (67, 73)
(2, 1, 0, (0, 1, 1), 5): (26, 28)
(2, 1, 0, (0, 1, 1), 6): (11, 12)
(2, 1, 0, (0, 1, 1), 7): (6, 6)
(2, 1, 0, (0, 1, 1), 8): (5, 5)
(2, 1, 0, (0, 1, 1), 9): (4, 4)
(2, 1, 0, (0, 1, 1), 10): (1, 1)
(2, 1, 0, (1, 0, 0), -13): (0, 3)
(2, 1, 0, (1, 0, 0), -12): (0, 4)
(2, 1, 0, (1, 0, 0), -11): (0, 5)
(2, 1, 0, (1, 0, 0), -10): (0, 12)
(2, 1, 0, (1, 0, 0), -9): (2, 39)
(2, 1, 0, (1, 0, 0), -8): (3, 59)
(2, 1, 0, (1, 0, 0), -7): (13, 147)
(2, 1, 0, (1, 0, 0), -6): (30, 314)
(2, 1, 0, (1, 0, 0), -5): (109, 571)
(2, 1, 0, (1, 0, 0), -4): (260, 1128)
(2, 1, 0, (1, 0, 0), -3): (673, 2279)
(2, 1, 0, (1, 0, 0), -2): (1750, 4532)
(2, 1, 0, (1, 0, 0), -1): (4276, 8655)
(2, 1, 0, (1, 0, 0), 0): (12613, 20399)
(2, 1, 0, (1, 0, 0), 1): (4559, 6418)
(2, 1, 0, (1, 0, 0), 2): (2665, 3285)
(2, 1, 0, (1, 0, 0), 3): (1289, 1479)
(2, 1, 0, (1, 0, 0), 4): (635, 695)
(2, 1, 0, (1, 0, 0), 5): (280, 298)
(2, 1, 0, (1, 0, 0), 6): (126, 128)
(2, 1, 0, (1, 0, 0), 7): (61, 63)
(2, 1, 0, (1, 0, 0), 8): (28, 28)
(2, 1, 0, (1, 0, 0), 9): (11, 11)
(2, 1, 0, (1, 0, 0), 10): (5, 5)
(2, 1, 0, (1, 0, 0), 11): (6, 6)
(2, 1, 0, (1, 0, 0), 13): (1, 1)
(2, 1, 0, (1, 0, 0), 15): (1, 1)
(2, 1, 0, (1, 0, 1), -13): (0, 1)
(2, 1, 0, (1, 0, 1), -12): (0, 1)
(2, 1, 0, (1, 0, 1), -10): (0, 3)
(2, 1, 0, (1, 0, 1), -9): (0, 3)
(2, 1, 0, (1, 0, 1), -8): (0, 5)
(2, 1, 0, (1, 0, 1), -7): (2, 8)
(2, 1, 0, (1, 0, 1), -6): (4, 25)
(2, 1, 0, (1, 0, 1), -5): (10, 36)
(2, 1, 0, (1, 0, 1), -4): (16, 69)
(2, 1, 0, (1, 0, 1), -3): (72, 182)
(2, 1, 0, (1, 0, 1), -2): (148, 328)
(2, 1, 0, (1, 0, 1), -1): (430, 717)
(2, 1, 0, (1, 0, 1), 0): (1140, 1655)
(2, 1, 0, (1, 0, 1), 1): (629, 807)
(2, 1, 0, (1, 0, 1), 2): (342, 403)
(2, 1, 0, (1, 0, 1), 3): (182, 201)
(2, 1, 0, (1, 0, 1), 4): (95, 100)
(2, 1, 0, (1, 0, 1), 5): (44, 47)
(2, 1, 0, (1, 0, 1), 6): (21, 22)
(2, 1, 0, (1, 0, 1), 7): (13, 13)
(2, 1, 0, (1, 0, 1), 8): (11, 11)
(2, 1, 0, (1, 0, 1), 9): (4, 4)
(2, 1, 0, (1, 0, 1), 10): (1, 1)
(2, 1, 0, (1, 0, 1), 11): (2, 2)
(2, 1, 0, (1, 1, 0), -11): (0, 1)
(2, 1, 0, (1, 1, 0), -10): (0, 2)
(2, 1, 0, (1, 1, 0), -9): (0, 9)
(2, 1, 0, (1, 1, 0), -8): (1, 21)
(2, 1, 0, (1, 1, 0), -7): (7, 39)
(2, 1, 0, (1, 1, 0), -6): (9, 80)
(2, 1, 0, (1, 1, 0), -5): (39, 157)
(2, 1, 0, (1, 1, 0), -4): (77, 288)
(2, 1, 0, (1, 1, 0), -3): (194, 545)
(2, 1, 0, (1, 1, 0), -2): (502, 1144)
(2, 1, 0, (1, 1, 0), -1): (1129, 1998)
(2, 1, 0, (1, 1, 0), 0): (3013, 4460)
(2, 1, 0, (1, 1, 0), 1): (1283, 1665)
(2, 1, 0, (1, 1, 0), 2): (719, 844)
(2, 1, 0, (1, 1, 0), 3): (323, 362)
(2, 1, 0, (1, 1, 0), 4): (166, 176)
(2, 1, 0, (1, 1, 0), 5): (79, 82)
(2, 1, 0, (1, 1, 0), 6): (32, 33)
(2, 1, 0, (1, 1, 0), 7): (25, 25)
(2, 1, 0, (1, 1, 0), 8): (6, 6)
(2, 1, 0, (1, 1, 0), 9): (6, 6)
(2, 1, 0, (1, 1, 0), 10): (5, 5)
(2, 1, 0, (1, 1, 0), 11): (2, 2)
(2, 1, 0, (1, 1, 1), -9): (0, 1)
(2, 1, 0, (1, 1, 1), -8): (0, 2)
(2, 1, 0, (1, 1, 1), -7): (4, 13)
(2, 1, 0, (1, 1, 1), -6): (6, 15)
(2, 1, 0, (1, 1, 1), -5): (15, 34)
(2, 1, 0, (1, 1, 1), -4): (27, 67)
(2, 1, 0, (1, 1, 1), -3): (61, 130)
(2, 1, 0, (1, 1, 1), -2): (130, 236)
(2, 1, 0, (1, 1, 1), -1): (310, 485)
(2, 1, 0, (1, 1, 1), 0): (763, 1022)
(2, 1, 0, (1, 1, 1), 1): (413, 502)
(2, 1, 0, (1, 1, 1), 2): (221, 252)
(2, 1, 0, (1, 1, 1), 3): (107, 118)
(2, 1, 0, (1, 1, 1), 4): (60, 65)
(2, 1, 0, (1, 1, 1), 5): (31, 33)
(2, 1, 0, (1, 1, 1), 6): (12, 12)
(2, 1, 0, (1, 1, 1), 7): (5, 5)
(2, 1, 0, (1, 1, 1), 8): (4, 4)
(2, 1, 0, (1, 1, 1), 9): (2, 2)
(2, 1, 0, (1, 1, 1), 10): (2, 2)
(2, 1, 0, (1, 1, 1), 11): (1, 1)
(2, 1, 0, (1, 1, 1), 12): (1, 1)
(2, 1, 1, (0, 0, 0), -13): (0, 1)
(2, 1, 1, (0, 0, 0), -12): (0, 9)
(2, 1, 1, (0, 0, 0), -11): (0, 12)
(2, 1, 1, (0, 0, 0), -10): (0, 41)
(2, 1, 1, (0, 0, 0), -9): (0, 85)
(2, 1, 1, (0, 0, 0), -8): (6, 175)
(2, 1, 1, (0, 0, 0), -7): (14, 352)
(2, 1, 1, (0, 0, 0), -6): (52, 778)
(2, 1, 1, (0, 0, 0), -5): (182, 1413)
(2, 1, 1, (0, 0, 0), -4): (434, 2858)
(2, 1, 1, (0, 0, 0), -3): (1387, 6031)
(2, 1, 1, (0, 0, 0), -2): (3673, 11733)
(2, 1, 1, (0, 0, 0), -1): (9682, 22755)
(2, 1, 1, (0, 0, 0), 0): (29366, 52896)
(2, 1, 1, (0, 0, 0), 1): (12338, 18074)
(2, 1, 1, (0, 0, 0), 2): (7054, 9135)
(2, 1, 1, (0, 0, 0), 3): (3802, 4520)
(2, 1, 1, (0, 0, 0), 4): (1842, 2020)
(2, 1, 1, (0, 0, 0), 5): (785, 841)
(2, 1, 1, (0, 0, 0), 6): (361, 370)
(2, 1, 1, (0, 0, 0), 7): (180, 187)
(2, 1, 1, (0, 0, 0), 8): (88, 88)
(2, 1, 1, (0, 0, 0), 9): (45, 46)
(2, 1, 1, (0, 0, 0), 10): (22, 22)
(2, 1, 1, (0, 0, 0), 11): (6, 6)
(2, 1, 1, (0, 0, 0), 12): (3, 3)
(2, 1, 1, (0, 0, 0), 13): (3, 3)
(2, 1, 1, (0, 0, 0), 14): (1, 1)
(2, 1, 1, (0, 0, 1), -14): (0, 1)
(2, 1, 1, (0, 0, 1), -12): (0, 1)
(2, 1, 1, (0, 0, 1), -9): (0, 4)
(2, 1, 1, (0, 0, 1), -8): (1, 6)
(2, 1, 1, (0, 0, 1), -7): (1, 8)
(2, 1, 1, (0, 0, 1), -6): (3, 36)
(2, 1, 1, (0, 0, 1), -5): (4, 48)
(2, 1, 1, (0, 0, 1), -4): (34, 136)
(2, 1, 1, (0, 0, 1), -3): (81, 256)
(2, 1, 1, (0, 0, 1), -2): (219, 530)
(2, 1, 1, (0, 0, 1), -1): (592, 1168)
(2, 1, 1, (0, 0, 1), 0): (1672, 2649)
(2, 1, 1, (0, 0, 1), 1): (1241, 1654)
(2, 1, 1, (0, 0, 1), 2): (756, 913)
(2, 1, 1, (0, 0, 1), 3): (486, 553)
(2, 1, 1, (0, 0, 1), 4): (255, 269)
(2, 1, 1, (0, 0, 1), 5): (138, 142)
(2, 1, 1, (0, 0, 1), 6): (52, 52)
(2, 1, 1, (0, 0, 1), 7): (24, 25)
(2, 1, 1, (0, 0, 1), 8): (14, 14)
(2, 1, 1, (0, 0, 1), 9): (8, 8)
(2, 1, 1, (0, 0, 1), 10): (4, 4)
(2, 1, 1, (0, 0, 1), 11): (1, 1)
(2, 1, 1, (0, 0, 1), 12): (1, 1)
(2, 1, 1, (0, 1, 0), -11): (0, 1)
(2, 1, 1, (0, 1, 0), -10): (0, 4)
(2, 1, 1, (0, 1, 0), -9): (2, 10)
(2, 1, 1, (0, 1, 0), -8): (2, 22)
(2, 1, 1, (0, 1, 0), -7): (5, 42)
(2, 1, 1, (0, 1, 0), -6): (13, 106)
(2, 1, 1, (0, 1, 0), -5): (27, 179)
(2, 1, 1, (0, 1, 0), -4): (84, 370)
(2, 1, 1, (0, 1, 0), -3): (237, 779)
(2, 1, 1, (0, 1, 0), -2): (573, 1638)
(2, 1, 1, (0, 1, 0), -1): (1589, 3341)
(2, 1, 1, (0, 1, 0), 0): (4902, 8123)
(2, 1, 1, (0, 1, 0), 1): (2852, 3998)
(2, 1, 1, (0, 1, 0), 2): (1916, 2385)
(2, 1, 1, (0, 1, 0), 3): (1139, 1289)
(2, 1, 1, (0, 1, 0), 4): (613, 674)
(2, 1, 1, (0, 1, 0), 5): (269, 299)
(2, 1, 1, (0, 1, 0), 6): (147, 150)
(2, 1, 1, (0, 1, 0), 7): (55, 56)
(2, 1, 1, (0, 1, 0), 8): (33, 33)
(2, 1, 1, (0, 1, 0), 9): (10, 10)
(2, 1, 1, (0, 1, 0), 10): (6, 6)
(2, 1, 1, (0, 1, 0), 11): (1, 1)
(2, 1, 1, (0, 1, 0), 13): (1, 1)
(2, 1, 1, (0, 1, 1), -12): (0, 1)
(2, 1, 1, (0, 1, 1), -11): (0, 1)
(2, 1, 1, (0, 1, 1), -10): (0, 1)
(2, 1, 1, (0, 1, 1), -9): (1, 3)
(2, 1, 1, (0, 1, 1), -8): (0, 3)
(2, 1, 1, (0, 1, 1), -7): (2, 8)
(2, 1, 1, (0, 1, 1), -6): (5, 27)
(2, 1, 1, (0, 1, 1), -5): (8, 54)
(2, 1, 1, (0, 1, 1), -4): (34, 100)
(2, 1, 1, (0, 1, 1), -3): (94, 249)
(2, 1, 1, (0, 1, 1), -2): (237, 552)
(2, 1, 1, (0, 1, 1), -1): (565, 1002)
(2, 1, 1, (0, 1, 1), 0): (1528, 2280)
(2, 1, 1, (0, 1, 1), 1): (1050, 1383)
(2, 1, 1, (0, 1, 1), 2): (735, 860)
(2, 1, 1, (0, 1, 1), 3): (420, 478)
(2, 1, 1, (0, 1, 1), 4): (209, 223)
(2, 1, 1, (0, 1, 1), 5): (98, 102)
(2, 1, 1, (0, 1, 1), 6): (49, 50)
(2, 1, 1, (0, 1, 1), 7): (23, 24)
(2, 1, 1, (0, 1, 1), 8): (9, 9)
(2, 1, 1, (0, 1, 1), 9): (4, 4)
(2, 1, 1, (0, 1, 1), 10): (3, 3)
(2, 1, 1, (0, 1, 1), 15): (1, 1)
(2, 1, 1, (1, 0, 0), -13): (0, 2)
(2, 1, 1, (1, 0, 0), -12): (0, 6)
(2, 1, 1, (1, 0, 0), -11): (0, 7)
(2, 1, 1, (1, 0, 0), -10): (0, 15)
(2, 1, 1, (1, 0, 0), -9): (2, 45)
(2, 1, 1, (1, 0, 0), -8): (4, 68)
(2, 1, 1, (1, 0, 0), -7): (7, 168)
(2, 1, 1, (1, 0, 0), -6): (40, 355)
(2, 1, 1, (1, 0, 0), -5): (97, 629)
(2, 1, 1, (1, 0, 0), -4): (236, 1273)
(2, 1, 1, (1, 0, 0), -3): (663, 2579)
(2, 1, 1, (1, 0, 0), -2): (1791, 5056)
(2, 1, 1, (1, 0, 0), -1): (4256, 9385)
(2, 1, 1, (1, 0, 0), 0): (12780, 21878)
(2, 1, 1, (1, 0, 0), 1): (5822, 8296)
(2, 1, 1, (1, 0, 0), 2): (3377, 4248)
(2, 1, 1, (1, 0, 0), 3): (1834, 2137)
(2, 1, 1, (1, 0, 0), 4): (942, 1047)
(2, 1, 1, (1, 0, 0), 5): (461, 499)
(2, 1, 1, (1, 0, 0), 6): (230, 236)
(2, 1, 1, (1, 0, 0), 7): (100, 103)
(2, 1, 1, (1, 0, 0), 8): (47, 48)
(2, 1, 1, (1, 0, 0), 9): (21, 21)
(2, 1, 1, (1, 0, 0), 10): (10, 10)
(2, 1, 1, (1, 0, 0), 11): (8, 8)
(2, 1, 1, (1, 0, 0), 12): (3, 3)
(2, 1, 1, (1, 0, 0), 13): (2, 2)
(2, 1, 1, (1, 0, 0), 14): (1, 1)
(2, 1, 1, (1, 0, 0), 15): (1, 1)
(2, 1, 1, (1, 0, 1), -12): (0, 2)
(2, 1, 1, (1, 0, 1), -11): (0, 1)
(2, 1, 1, (1, 0, 1), -10): (0, 3)
(2, 1, 1, (1, 0, 1), -9): (0, 3)
(2, 1, 1, (1, 0, 1), -8): (1, 15)
(2, 1, 1, (1, 0, 1), -7): (3, 20)
(2, 1, 1, (1, 0, 1), -6): (5, 36)
(2, 1, 1, (1, 0, 1), -5): (12, 62)
(2, 1, 1, (1, 0, 1), -4): (48, 171)
(2, 1, 1, (1, 0, 1), -3): (113, 331)
(2, 1, 1, (1, 0, 1), -2): (267, 645)
(2, 1, 1, (1, 0, 1), -1): (643, 1230)
(2, 1, 1, (1, 0, 1), 0): (1848, 2898)
(2, 1, 1, (1, 0, 1), 1): (1339, 1767)
(2, 1, 1, (1, 0, 1), 2): (833, 1020)
(2, 1, 1, (1, 0, 1), 3): (484, 546)
(2, 1, 1, (1, 0, 1), 4): (303, 333)
(2, 1, 1, (1, 0, 1), 5): (141, 151)
(2, 1, 1, (1, 0, 1), 6): (55, 56)
(2, 1, 1, (1, 0, 1), 7): (35, 36)
(2, 1, 1, (1, 0, 1), 8): (16, 17)
(2, 1, 1, (1, 0, 1), 9): (4, 4)
(2, 1, 1, (1, 0, 1), 10): (3, 3)
(2, 1, 1, (1, 0, 1), 11): (2, 2)
(2, 1, 1, (1, 0, 1), 12): (1, 1)
(2, 1, 1, (1, 0, 1), 14): (1, 1)
(2, 1, 1, (1, 0, 1), 15): (1, 1)
(2, 1, 1, (1, 1, 0), -12): (0, 1)
(2, 1, 1, (1, 1, 0), -11): (0, 2)
(2, 1, 1, (1, 1, 0), -10): (0, 5)
(2, 1, 1, (1, 1, 0), -9): (0, 16)
(2, 1, 1, (1, 1, 0), -8): (1, 25)
(2, 1, 1, (1, 1, 0), -7): (3, 67)
(2, 1, 1, (1, 1, 0), -6): (18, 138)
(2, 1, 1, (1, 1, 0), -5): (44, 234)
(2, 1, 1, (1, 1, 0), -4): (91, 439)
(2, 1, 1, (1, 1, 0), -3): (269, 847)
(2, 1, 1, (1, 1, 0), -2): (634, 1662)
(2, 1, 1, (1, 1, 0), -1): (1438, 2853)
(2, 1, 1, (1, 1, 0), 0): (4059, 6574)
(2, 1, 1, (1, 1, 0), 1): (2376, 3224)
(2, 1, 1, (1, 1, 0), 2): (1376, 1695)
(2, 1, 1, (1, 1, 0), 3): (791, 918)
(2, 1, 1, (1, 1, 0), 4): (445, 487)
(2, 1, 1, (1, 1, 0), 5): (256, 274)
(2, 1, 1, (1, 1, 0), 6): (120, 127)
(2, 1, 1, (1, 1, 0), 7): (67, 69)
(2, 1, 1, (1, 1, 0), 8): (28, 28)
(2, 1, 1, (1, 1, 0), 9): (14, 15)
(2, 1, 1, (1, 1, 0), 10): (10, 10)
(2, 1, 1, (1, 1, 0), 11): (5, 5)
(2, 1, 1, (1, 1, 0), 12): (5, 5)
(2, 1, 1, (1, 1, 0), 13): (2, 2)
(2, 1, 1, (1, 1, 0), 14): (2, 2)
(2, 1, 1, (1, 1, 1), -10): (0, 2)
(2, 1, 1, (1, 1, 1), -9): (0, 3)
(2, 1, 1, (1, 1, 1), -8): (1, 5)
(2, 1, 1, (1, 1, 1), -7): (3, 14)
(2, 1, 1, (1, 1, 1), -6): (6, 28)
(2, 1, 1, (1, 1, 1), -5): (15, 60)
(2, 1, 1, (1, 1, 1), -4): (32, 106)
(2, 1, 1, (1, 1, 1), -3): (89, 238)
(2, 1, 1, (1, 1, 1), -2): (202, 434)
(2, 1, 1, (1, 1, 1), -1): (466, 854)
(2, 1, 1, (1, 1, 1), 0): (1306, 1922)
(2, 1, 1, (1, 1, 1), 1): (939, 1182)
(2, 1, 1, (1, 1, 1), 2): (547, 658)
(2, 1, 1, (1, 1, 1), 3): (370, 407)
(2, 1, 1, (1, 1, 1), 4): (246, 258)
(2, 1, 1, (1, 1, 1), 5): (136, 141)
(2, 1, 1, (1, 1, 1), 6): (49, 51)
(2, 1, 1, (1, 1, 1), 7): (28, 33)
(2, 1, 1, (1, 1, 1), 8): (19, 21)
(2, 1, 1, (1, 1, 1), 9): (4, 4)
(2, 1, 1, (1, 1, 1), 10): (2, 2)
(2, 1, 1, (1, 1, 1), 12): (1, 1)
(2, 1, 1, (1, 1, 1), 14): (1, 1)
(2, 1, 2, (0, 0, 0), -13): (0, 2)
(2, 1, 2, (0, 0, 0), -12): (0, 6)
(2, 1, 2, (0, 0, 0), -11): (0, 9)
(2, 1, 2, (0, 0, 0), -10): (0, 31)
(2, 1, 2, (0, 0, 0), -9): (0, 65)
(2, 1, 2, (0, 0, 0), -8): (2, 131)
(2, 1, 2, (0, 0, 0), -7): (8, 253)
(2, 1, 2, (0, 0, 0), -6): (30, 587)
(2, 1, 2, (0, 0, 0), -5): (119, 1044)
(2, 1, 2, (0, 0, 0), -4): (284, 2101)
(2, 1, 2, (0, 0, 0), -3): (976, 4552)
(2, 1, 2, (0, 0, 0), -2): (2582, 8778)
(2, 1, 2, (0, 0, 0), -1): (7006, 17253)
(2, 1, 2, (0, 0, 0), 0): (21314, 39814)
(2, 1, 2, (0, 0, 0), 1): (10244, 15348)
(2, 1, 2, (0, 0, 0), 2): (6106, 8012)
(2, 1, 2, (0, 0, 0), 3): (3413, 4098)
(2, 1, 2, (0, 0, 0), 4): (1805, 2006)
(2, 1, 2, (0, 0, 0), 5): (960, 1022)
(2, 1, 2, (0, 0, 0), 6): (491, 509)
(2, 1, 2, (0, 0, 0), 7): (276, 285)
(2, 1, 2, (0, 0, 0), 8): (130, 132)
(2, 1, 2, (0, 0, 0), 9): (62, 63)
(2, 1, 2, (0, 0, 0), 10): (31, 31)
(2, 1, 2, (0, 0, 0), 11): (11, 11)
(2, 1, 2, (0, 0, 0), 12): (3, 3)
(2, 1, 2, (0, 0, 0), 13): (4, 4)
(2, 1, 2, (0, 0, 0), 15): (1, 1)
(2, 1, 2, (0, 0, 1), -12): (0, 1)
(2, 1, 2, (0, 0, 1), -11): (0, 1)
(2, 1, 2, (0, 0, 1), -9): (1, 5)
(2, 1, 2, (0, 0, 1), -8): (0, 5)
(2, 1, 2, (0, 0, 1), -7): (3, 16)
(2, 1, 2, (0, 0, 1), -6): (8, 60)
(2, 1, 2, (0, 0, 1), -5): (12, 91)
(2, 1, 2, (0, 0, 1), -4): (38, 193)
(2, 1, 2, (0, 0, 1), -3): (85, 365)
(2, 1, 2, (0, 0, 1), -2): (240, 741)
(2, 1, 2, (0, 0, 1), -1): (722, 1622)
(2, 1, 2, (0, 0, 1), 0): (2120, 3693)
(2, 1, 2, (0, 0, 1), 1): (1676, 2440)
(2, 1, 2, (0, 0, 1), 2): (1151, 1454)
(2, 1, 2, (0, 0, 1), 3): (841, 956)
(2, 1, 2, (0, 0, 1), 4): (504, 554)
(2, 1, 2, (0, 0, 1), 5): (224, 241)
(2, 1, 2, (0, 0, 1), 6): (131, 138)
(2, 1, 2, (0, 0, 1), 7): (57, 59)
(2, 1, 2, (0, 0, 1), 8): (29, 29)
(2, 1, 2, (0, 0, 1), 9): (14, 14)
(2, 1, 2, (0, 0, 1), 10): (7, 7)
(2, 1, 2, (0, 0, 1), 11): (2, 2)
(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, 4)
(2, 1, 2, (0, 1, 0), -10): (0, 5)
(2, 1, 2, (0, 1, 0), -9): (1, 17)
(2, 1, 2, (0, 1, 0), -8): (2, 25)
(2, 1, 2, (0, 1, 0), -7): (0, 40)
(2, 1, 2, (0, 1, 0), -6): (11, 94)
(2, 1, 2, (0, 1, 0), -5): (32, 235)
(2, 1, 2, (0, 1, 0), -4): (81, 460)
(2, 1, 2, (0, 1, 0), -3): (242, 968)
(2, 1, 2, (0, 1, 0), -2): (660, 1982)
(2, 1, 2, (0, 1, 0), -1): (1800, 4006)
(2, 1, 2, (0, 1, 0), 0): (5378, 9405)
(2, 1, 2, (0, 1, 0), 1): (3918, 5712)
(2, 1, 2, (0, 1, 0), 2): (2764, 3558)
(2, 1, 2, (0, 1, 0), 3): (1817, 2114)
(2, 1, 2, (0, 1, 0), 4): (1056, 1165)
(2, 1, 2, (0, 1, 0), 5): (533, 577)
(2, 1, 2, (0, 1, 0), 6): (313, 328)
(2, 1, 2, (0, 1, 0), 7): (151, 153)
(2, 1, 2, (0, 1, 0), 8): (63, 65)
(2, 1, 2, (0, 1, 0), 9): (35, 35)
(2, 1, 2, (0, 1, 0), 10): (13, 13)
(2, 1, 2, (0, 1, 0), 11): (6, 6)
(2, 1, 2, (0, 1, 0), 13): (1, 1)
(2, 1, 2, (0, 1, 0), 15): (1, 1)
(2, 1, 2, (0, 1, 0), 16): (1, 1)
(2, 1, 2, (0, 1, 1), -11): (0, 2)
(2, 1, 2, (0, 1, 1), -9): (0, 5)
(2, 1, 2, (0, 1, 1), -8): (0, 7)
(2, 1, 2, (0, 1, 1), -7): (0, 14)
(2, 1, 2, (0, 1, 1), -6): (5, 36)
(2, 1, 2, (0, 1, 1), -5): (9, 68)
(2, 1, 2, (0, 1, 1), -4): (16, 115)
(2, 1, 2, (0, 1, 1), -3): (83, 280)
(2, 1, 2, (0, 1, 1), -2): (190, 539)
(2, 1, 2, (0, 1, 1), -1): (453, 941)
(2, 1, 2, (0, 1, 1), 0): (1328, 2211)
(2, 1, 2, (0, 1, 1), 1): (1162, 1647)
(2, 1, 2, (0, 1, 1), 2): (862, 1053)
(2, 1, 2, (0, 1, 1), 3): (454, 524)
(2, 1, 2, (0, 1, 1), 4): (300, 320)
(2, 1, 2, (0, 1, 1), 5): (135, 144)
(2, 1, 2, (0, 1, 1), 6): (87, 92)
(2, 1, 2, (0, 1, 1), 7): (39, 40)
(2, 1, 2, (0, 1, 1), 8): (14, 14)
(2, 1, 2, (0, 1, 1), 9): (7, 7)
(2, 1, 2, (0, 1, 1), 10): (4, 4)
(2, 1, 2, (0, 1, 1), 11): (1, 1)
(2, 1, 2, (0, 1, 1), 13): (1, 1)
(2, 1, 2, (0, 1, 1), 14): (2, 2)
(2, 1, 2, (0, 1, 1), 15): (1, 1)
(2, 1, 2, (1, 0, 0), -13): (0, 1)
(2, 1, 2, (1, 0, 0), -12): (0, 3)
(2, 1, 2, (1, 0, 0), -11): (0, 8)
(2, 1, 2, (1, 0, 0), -10): (0, 18)
(2, 1, 2, (1, 0, 0), -9): (1, 36)
(2, 1, 2, (1, 0, 0), -8): (3, 74)
(2, 1, 2, (1, 0, 0), -7): (6, 132)
(2, 1, 2, (1, 0, 0), -6): (20, 319)
(2, 1, 2, (1, 0, 0), -5): (73, 582)
(2, 1, 2, (1, 0, 0), -4): (186, 1155)
(2, 1, 2, (1, 0, 0), -3): (513, 2362)
(2, 1, 2, (1, 0, 0), -2): (1488, 4617)
(2, 1, 2, (1, 0, 0), -1): (3594, 8656)
(2, 1, 2, (1, 0, 0), 0): (10886, 19645)
(2, 1, 2, (1, 0, 0), 1): (5985, 8818)
(2, 1, 2, (1, 0, 0), 2): (3801, 4938)
(2, 1, 2, (1, 0, 0), 3): (2236, 2662)
(2, 1, 2, (1, 0, 0), 4): (1357, 1494)
(2, 1, 2, (1, 0, 0), 5): (713, 771)
(2, 1, 2, (1, 0, 0), 6): (371, 384)
(2, 1, 2, (1, 0, 0), 7): (185, 195)
(2, 1, 2, (1, 0, 0), 8): (105, 108)
(2, 1, 2, (1, 0, 0), 9): (48, 48)
(2, 1, 2, (1, 0, 0), 10): (18, 18)
(2, 1, 2, (1, 0, 0), 11): (9, 9)
(2, 1, 2, (1, 0, 0), 12): (4, 4)
(2, 1, 2, (1, 0, 0), 13): (5, 5)
(2, 1, 2, (1, 0, 0), 15): (1, 1)
(2, 1, 2, (1, 0, 0), 16): (2, 2)
(2, 1, 2, (1, 0, 1), -12): (0, 1)
(2, 1, 2, (1, 0, 1), -10): (0, 2)
(2, 1, 2, (1, 0, 1), -9): (1, 9)
(2, 1, 2, (1, 0, 1), -8): (1, 15)
(2, 1, 2, (1, 0, 1), -7): (1, 21)
(2, 1, 2, (1, 0, 1), -6): (4, 46)
(2, 1, 2, (1, 0, 1), -5): (17, 97)
(2, 1, 2, (1, 0, 1), -4): (40, 183)
(2, 1, 2, (1, 0, 1), -3): (105, 398)
(2, 1, 2, (1, 0, 1), -2): (288, 750)
(2, 1, 2, (1, 0, 1), -1): (650, 1446)
(2, 1, 2, (1, 0, 1), 0): (1864, 3268)
(2, 1, 2, (1, 0, 1), 1): (1619, 2299)
(2, 1, 2, (1, 0, 1), 2): (1110, 1387)
(2, 1, 2, (1, 0, 1), 3): (759, 875)
(2, 1, 2, (1, 0, 1), 4): (481, 537)
(2, 1, 2, (1, 0, 1), 5): (264, 277)
(2, 1, 2, (1, 0, 1), 6): (125, 131)
(2, 1, 2, (1, 0, 1), 7): (66, 67)
(2, 1, 2, (1, 0, 1), 8): (38, 40)
(2, 1, 2, (1, 0, 1), 9): (14, 14)
(2, 1, 2, (1, 0, 1), 10): (5, 5)
(2, 1, 2, (1, 0, 1), 11): (3, 3)
(2, 1, 2, (1, 0, 1), 14): (1, 1)
(2, 1, 2, (1, 1, 0), -12): (0, 2)
(2, 1, 2, (1, 1, 0), -11): (0, 4)
(2, 1, 2, (1, 1, 0), -10): (0, 8)
(2, 1, 2, (1, 1, 0), -9): (0, 18)
(2, 1, 2, (1, 1, 0), -8): (0, 33)
(2, 1, 2, (1, 1, 0), -7): (2, 59)
(2, 1, 2, (1, 1, 0), -6): (10, 133)
(2, 1, 2, (1, 1, 0), -5): (31, 244)
(2, 1, 2, (1, 1, 0), -4): (75, 449)
(2, 1, 2, (1, 1, 0), -3): (243, 914)
(2, 1, 2, (1, 1, 0), -2): (612, 1841)
(2, 1, 2, (1, 1, 0), -1): (1534, 3365)
(2, 1, 2, (1, 1, 0), 0): (4337, 7479)
(2, 1, 2, (1, 1, 0), 1): (3019, 4332)
(2, 1, 2, (1, 1, 0), 2): (2012, 2549)
(2, 1, 2, (1, 1, 0), 3): (1197, 1424)
(2, 1, 2, (1, 1, 0), 4): (727, 789)
(2, 1, 2, (1, 1, 0), 5): (415, 452)
(2, 1, 2, (1, 1, 0), 6): (217, 226)
(2, 1, 2, (1, 1, 0), 7): (118, 122)
(2, 1, 2, (1, 1, 0), 8): (56, 57)
(2, 1, 2, (1, 1, 0), 9): (36, 37)
(2, 1, 2, (1, 1, 0), 10): (14, 14)
(2, 1, 2, (1, 1, 0), 11): (8, 8)
(2, 1, 2, (1, 1, 0), 12): (7, 7)
(2, 1, 2, (1, 1, 0), 13): (4, 4)
(2, 1, 2, (1, 1, 1), -11): (0, 2)
(2, 1, 2, (1, 1, 1), -10): (0, 4)
(2, 1, 2, (1, 1, 1), -9): (0, 5)
(2, 1, 2, (1, 1, 1), -8): (0, 6)
(2, 1, 2, (1, 1, 1), -7): (1, 20)
(2, 1, 2, (1, 1, 1), -6): (3, 34)
(2, 1, 2, (1, 1, 1), -5): (15, 54)
(2, 1, 2, (1, 1, 1), -4): (31, 129)
(2, 1, 2, (1, 1, 1), -3): (86, 305)
(2, 1, 2, (1, 1, 1), -2): (210, 542)
(2, 1, 2, (1, 1, 1), -1): (499, 1034)
(2, 1, 2, (1, 1, 1), 0): (1382, 2261)
(2, 1, 2, (1, 1, 1), 1): (1049, 1466)
(2, 1, 2, (1, 1, 1), 2): (800, 983)
(2, 1, 2, (1, 1, 1), 3): (529, 604)
(2, 1, 2, (1, 1, 1), 4): (324, 350)
(2, 1, 2, (1, 1, 1), 5): (176, 190)
(2, 1, 2, (1, 1, 1), 6): (107, 109)
(2, 1, 2, (1, 1, 1), 7): (51, 53)
(2, 1, 2, (1, 1, 1), 8): (22, 23)
(2, 1, 2, (1, 1, 1), 9): (13, 13)
(2, 1, 2, (1, 1, 1), 10): (4, 4)
(2, 1, 2, (1, 1, 1), 11): (1, 1)
(2, 1, 2, (1, 1, 1), 12): (3, 3)
(2, 1, 2, (1, 1, 1), 13): (1, 1)
(2, 1, 2, (1, 1, 1), 14): (1, 1)
(3, 0, 0, (0, 0, 0), -16): (0, 3)
(3, 0, 0, (0, 0, 0), -15): (0, 3)
(3, 0, 0, (0, 0, 0), -14): (0, 3)
(3, 0, 0, (0, 0, 0), -13): (0, 10)
(3, 0, 0, (0, 0, 0), -12): (0, 9)
(3, 0, 0, (0, 0, 0), -11): (0, 33)
(3, 0, 0, (0, 0, 0), -10): (0, 72)
(3, 0, 0, (0, 0, 0), -9): (2, 158)
(3, 0, 0, (0, 0, 0), -8): (11, 335)
(3, 0, 0, (0, 0, 0), -7): (19, 635)
(3, 0, 0, (0, 0, 0), -6): (58, 1285)
(3, 0, 0, (0, 0, 0), -5): (176, 2443)
(3, 0, 0, (0, 0, 0), -4): (507, 4669)
(3, 0, 0, (0, 0, 0), -3): (1505, 8945)
(3, 0, 0, (0, 0, 0), -2): (4020, 16801)
(3, 0, 0, (0, 0, 0), -1): (10514, 30876)
(3, 0, 0, (0, 0, 0), 0): (30109, 64218)
(3, 0, 0, (0, 0, 0), 1): (17394, 28995)
(3, 0, 0, (0, 0, 0), 2): (10710, 15209)
(3, 0, 0, (0, 0, 0), 3): (6227, 7881)
(3, 0, 0, (0, 0, 0), 4): (3462, 3989)
(3, 0, 0, (0, 0, 0), 5): (1806, 2045)
(3, 0, 0, (0, 0, 0), 6): (1038, 1104)
(3, 0, 0, (0, 0, 0), 7): (471, 483)
(3, 0, 0, (0, 0, 0), 8): (233, 239)
(3, 0, 0, (0, 0, 0), 9): (124, 127)
(3, 0, 0, (0, 0, 0), 10): (59, 59)
(3, 0, 0, (0, 0, 0), 11): (21, 21)
(3, 0, 0, (0, 0, 0), 12): (13, 13)
(3, 0, 0, (0, 0, 0), 13): (3, 3)
(3, 0, 0, (0, 0, 1), -9): (0, 5)
(3, 0, 0, (0, 0, 1), -8): (0, 4)
(3, 0, 0, (0, 0, 1), -7): (0, 9)
(3, 0, 0, (0, 0, 1), -6): (1, 5)
(3, 0, 0, (0, 0, 1), -5): (1, 13)
(3, 0, 0, (0, 0, 1), -4): (13, 42)
(3, 0, 0, (0, 0, 1), -3): (19, 74)
(3, 0, 0, (0, 0, 1), -2): (49, 158)
(3, 0, 0, (0, 0, 1), -1): (142, 311)
(3, 0, 0, (0, 0, 1), 0): (353, 618)
(3, 0, 0, (0, 0, 1), 1): (311, 451)
(3, 0, 0, (0, 0, 1), 2): (257, 327)
(3, 0, 0, (0, 0, 1), 3): (164, 196)
(3, 0, 0, (0, 0, 1), 4): (91, 96)
(3, 0, 0, (0, 0, 1), 5): (47, 52)
(3, 0, 0, (0, 0, 1), 6): (23, 23)
(3, 0, 0, (0, 0, 1), 7): (13, 13)
(3, 0, 0, (0, 0, 1), 8): (8, 8)
(3, 0, 0, (0, 0, 1), 9): (1, 1)
(3, 0, 0, (0, 0, 1), 10): (2, 2)
(3, 0, 0, (0, 0, 1), 11): (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, 6)
(3, 0, 0, (0, 1, 0), -9): (0, 8)
(3, 0, 0, (0, 1, 0), -8): (2, 13)
(3, 0, 0, (0, 1, 0), -7): (1, 23)
(3, 0, 0, (0, 1, 0), -6): (2, 76)
(3, 0, 0, (0, 1, 0), -5): (17, 137)
(3, 0, 0, (0, 1, 0), -4): (38, 232)
(3, 0, 0, (0, 1, 0), -3): (101, 512)
(3, 0, 0, (0, 1, 0), -2): (278, 948)
(3, 0, 0, (0, 1, 0), -1): (756, 1792)
(3, 0, 0, (0, 1, 0), 0): (1991, 3698)
(3, 0, 0, (0, 1, 0), 1): (1482, 2193)
(3, 0, 0, (0, 1, 0), 2): (1064, 1411)
(3, 0, 0, (0, 1, 0), 3): (658, 815)
(3, 0, 0, (0, 1, 0), 4): (349, 399)
(3, 0, 0, (0, 1, 0), 5): (204, 225)
(3, 0, 0, (0, 1, 0), 6): (115, 120)
(3, 0, 0, (0, 1, 0), 7): (43, 44)
(3, 0, 0, (0, 1, 0), 8): (25, 26)
(3, 0, 0, (0, 1, 0), 9): (9, 10)
(3, 0, 0, (0, 1, 0), 10): (3, 3)
(3, 0, 0, (0, 1, 1), -16): (0, 1)
(3, 0, 0, (0, 1, 1), -11): (0, 1)
(3, 0, 0, (0, 1, 1), -10): (0, 2)
(3, 0, 0, (0, 1, 1), -9): (0, 1)
(3, 0, 0, (0, 1, 1), -8): (0, 9)
(3, 0, 0, (0, 1, 1), -7): (0, 8)
(3, 0, 0, (0, 1, 1), -6): (2, 8)
(3, 0, 0, (0, 1, 1), -5): (4, 29)
(3, 0, 0, (0, 1, 1), -4): (10, 41)
(3, 0, 0, (0, 1, 1), -3): (25, 88)
(3, 0, 0, (0, 1, 1), -2): (68, 167)
(3, 0, 0, (0, 1, 1), -1): (171, 331)
(3, 0, 0, (0, 1, 1), 0): (354, 580)
(3, 0, 0, (0, 1, 1), 1): (338, 439)
(3, 0, 0, (0, 1, 1), 2): (276, 327)
(3, 0, 0, (0, 1, 1), 3): (167, 188)
(3, 0, 0, (0, 1, 1), 4): (98, 108)
(3, 0, 0, (0, 1, 1), 5): (42, 46)
(3, 0, 0, (0, 1, 1), 6): (33, 34)
(3, 0, 0, (0, 1, 1), 7): (10, 10)
(3, 0, 0, (0, 1, 1), 8): (4, 4)
(3, 0, 0, (0, 1, 1), 9): (3, 3)
(3, 0, 0, (0, 1, 1), 10): (2, 2)
(3, 0, 0, (0, 1, 1), 11): (1, 1)
(3, 0, 0, (0, 1, 1), 12): (2, 2)
(3, 0, 0, (1, 0, 0), -16): (0, 1)
(3, 0, 0, (1, 0, 0), -15): (0, 1)
(3, 0, 0, (1, 0, 0), -13): (0, 4)
(3, 0, 0, (1, 0, 0), -11): (0, 9)
(3, 0, 0, (1, 0, 0), -10): (0, 9)
(3, 0, 0, (1, 0, 0), -9): (0, 37)
(3, 0, 0, (1, 0, 0), -8): (3, 104)
(3, 0, 0, (1, 0, 0), -7): (5, 148)
(3, 0, 0, (1, 0, 0), -6): (19, 295)
(3, 0, 0, (1, 0, 0), -5): (59, 620)
(3, 0, 0, (1, 0, 0), -4): (157, 1095)
(3, 0, 0, (1, 0, 0), -3): (412, 2194)
(3, 0, 0, (1, 0, 0), -2): (1112, 3933)
(3, 0, 0, (1, 0, 0), -1): (2796, 7237)
(3, 0, 0, (1, 0, 0), 0): (7717, 15110)
(3, 0, 0, (1, 0, 0), 1): (4649, 7359)
(3, 0, 0, (1, 0, 0), 2): (2957, 4031)
(3, 0, 0, (1, 0, 0), 3): (1818, 2202)
(3, 0, 0, (1, 0, 0), 4): (990, 1141)
(3, 0, 0, (1, 0, 0), 5): (483, 538)
(3, 0, 0, (1, 0, 0), 6): (299, 317)
(3, 0, 0, (1, 0, 0), 7): (136, 141)
(3, 0, 0, (1, 0, 0), 8): (60, 62)
(3, 0, 0, (1, 0, 0), 9): (42, 42)
(3, 0, 0, (1, 0, 0), 10): (24, 24)
(3, 0, 0, (1, 0, 0), 11): (10, 10)
(3, 0, 0, (1, 0, 0), 12): (3, 3)
(3, 0, 0, (1, 0, 0), 13): (1, 1)
(3, 0, 0, (1, 0, 1), -13): (0, 2)
(3, 0, 0, (1, 0, 1), -9): (0, 3)
(3, 0, 0, (1, 0, 1), -8): (1, 6)
(3, 0, 0, (1, 0, 1), -7): (1, 8)
(3, 0, 0, (1, 0, 1), -6): (2, 19)
(3, 0, 0, (1, 0, 1), -5): (3, 32)
(3, 0, 0, (1, 0, 1), -4): (19, 83)
(3, 0, 0, (1, 0, 1), -3): (28, 129)
(3, 0, 0, (1, 0, 1), -2): (95, 260)
(3, 0, 0, (1, 0, 1), -1): (259, 517)
(3, 0, 0, (1, 0, 1), 0): (707, 1134)
(3, 0, 0, (1, 0, 1), 1): (553, 776)
(3, 0, 0, (1, 0, 1), 2): (422, 543)
(3, 0, 0, (1, 0, 1), 3): (294, 343)
(3, 0, 0, (1, 0, 1), 4): (135, 145)
(3, 0, 0, (1, 0, 1), 5): (71, 75)
(3, 0, 0, (1, 0, 1), 6): (38, 38)
(3, 0, 0, (1, 0, 1), 7): (22, 22)
(3, 0, 0, (1, 0, 1), 8): (8, 8)
(3, 0, 0, (1, 0, 1), 9): (4, 4)
(3, 0, 0, (1, 0, 1), 10): (3, 3)
(3, 0, 0, (1, 1, 0), -10): (0, 4)
(3, 0, 0, (1, 1, 0), -9): (0, 4)
(3, 0, 0, (1, 1, 0), -8): (1, 22)
(3, 0, 0, (1, 1, 0), -7): (3, 44)
(3, 0, 0, (1, 1, 0), -6): (7, 78)
(3, 0, 0, (1, 1, 0), -5): (21, 151)
(3, 0, 0, (1, 1, 0), -4): (55, 263)
(3, 0, 0, (1, 1, 0), -3): (122, 482)
(3, 0, 0, (1, 1, 0), -2): (310, 858)
(3, 0, 0, (1, 1, 0), -1): (643, 1419)
(3, 0, 0, (1, 1, 0), 0): (1559, 2695)
(3, 0, 0, (1, 1, 0), 1): (1140, 1710)
(3, 0, 0, (1, 1, 0), 2): (809, 1050)
(3, 0, 0, (1, 1, 0), 3): (500, 600)
(3, 0, 0, (1, 1, 0), 4): (297, 345)
(3, 0, 0, (1, 1, 0), 5): (159, 174)
(3, 0, 0, (1, 1, 0), 6): (94, 97)
(3, 0, 0, (1, 1, 0), 7): (45, 46)
(3, 0, 0, (1, 1, 0), 8): (23, 24)
(3, 0, 0, (1, 1, 0), 9): (11, 11)
(3, 0, 0, (1, 1, 0), 10): (4, 4)
(3, 0, 0, (1, 1, 0), 11): (2, 2)
(3, 0, 0, (1, 1, 0), 12): (1, 1)
(3, 0, 0, (1, 1, 1), -10): (0, 1)
(3, 0, 0, (1, 1, 1), -9): (0, 2)
(3, 0, 0, (1, 1, 1), -8): (1, 8)
(3, 0, 0, (1, 1, 1), -7): (0, 16)
(3, 0, 0, (1, 1, 1), -6): (2, 17)
(3, 0, 0, (1, 1, 1), -5): (3, 30)
(3, 0, 0, (1, 1, 1), -4): (10, 45)
(3, 0, 0, (1, 1, 1), -3): (37, 107)
(3, 0, 0, (1, 1, 1), -2): (79, 174)
(3, 0, 0, (1, 1, 1), -1): (167, 294)
(3, 0, 0, (1, 1, 1), 0): (398, 581)
(3, 0, 0, (1, 1, 1), 1): (346, 475)
(3, 0, 0, (1, 1, 1), 2): (242, 291)
(3, 0, 0, (1, 1, 1), 3): (160, 184)
(3, 0, 0, (1, 1, 1), 4): (102, 110)
(3, 0, 0, (1, 1, 1), 5): (59, 62)
(3, 0, 0, (1, 1, 1), 6): (26, 27)
(3, 0, 0, (1, 1, 1), 7): (15, 16)
(3, 0, 0, (1, 1, 1), 8): (5, 6)
(3, 0, 0, (1, 1, 1), 9): (1, 1)
(3, 0, 0, (1, 1, 1), 10): (2, 2)
(3, 0, 0, (1, 1, 1), 11): (1, 1)
(3, 0, 1, (0, 0, 0), -16): (0, 2)
(3, 0, 1, (0, 0, 0), -15): (0, 2)
(3, 0, 1, (0, 0, 0), -14): (0, 3)
(3, 0, 1, (0, 0, 0), -13): (0, 6)
(3, 0, 1, (0, 0, 0), -12): (0, 8)
(3, 0, 1, (0, 0, 0), -11): (0, 23)
(3, 0, 1, (0, 0, 0), -10): (0, 58)
(3, 0, 1, (0, 0, 0), -9): (2, 108)
(3, 0, 1, (0, 0, 0), -8): (7, 217)
(3, 0, 1, (0, 0, 0), -7): (15, 455)
(3, 0, 1, (0, 0, 0), -6): (35, 913)
(3, 0, 1, (0, 0, 0), -5): (100, 1693)
(3, 0, 1, (0, 0, 0), -4): (312, 3332)
(3, 0, 1, (0, 0, 0), -3): (981, 6305)
(3, 0, 1, (0, 0, 0), -2): (2632, 12056)
(3, 0, 1, (0, 0, 0), -1): (7045, 22234)
(3, 0, 1, (0, 0, 0), 0): (20746, 46350)
(3, 0, 1, (0, 0, 0), 1): (12262, 21272)
(3, 0, 1, (0, 0, 0), 2): (7779, 11391)
(3, 0, 1, (0, 0, 0), 3): (4757, 6167)
(3, 0, 1, (0, 0, 0), 4): (2868, 3362)
(3, 0, 1, (0, 0, 0), 5): (1600, 1815)
(3, 0, 1, (0, 0, 0), 6): (887, 950)
(3, 0, 1, (0, 0, 0), 7): (397, 405)
(3, 0, 1, (0, 0, 0), 8): (207, 212)
(3, 0, 1, (0, 0, 0), 9): (94, 97)
(3, 0, 1, (0, 0, 0), 10): (45, 45)
(3, 0, 1, (0, 0, 0), 11): (18, 18)
(3, 0, 1, (0, 0, 0), 12): (12, 12)
(3, 0, 1, (0, 0, 0), 13): (4, 4)
(3, 0, 1, (0, 0, 0), 14): (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, 8)
(3, 0, 1, (0, 0, 1), -8): (1, 10)
(3, 0, 1, (0, 0, 1), -7): (0, 17)
(3, 0, 1, (0, 0, 1), -6): (1, 39)
(3, 0, 1, (0, 0, 1), -5): (5, 54)
(3, 0, 1, (0, 0, 1), -4): (24, 128)
(3, 0, 1, (0, 0, 1), -3): (56, 253)
(3, 0, 1, (0, 0, 1), -2): (140, 530)
(3, 0, 1, (0, 0, 1), -1): (432, 1057)
(3, 0, 1, (0, 0, 1), 0): (1223, 2291)
(3, 0, 1, (0, 0, 1), 1): (1129, 1720)
(3, 0, 1, (0, 0, 1), 2): (796, 1051)
(3, 0, 1, (0, 0, 1), 3): (551, 683)
(3, 0, 1, (0, 0, 1), 4): (305, 349)
(3, 0, 1, (0, 0, 1), 5): (160, 176)
(3, 0, 1, (0, 0, 1), 6): (83, 94)
(3, 0, 1, (0, 0, 1), 7): (42, 43)
(3, 0, 1, (0, 0, 1), 8): (19, 20)
(3, 0, 1, (0, 0, 1), 9): (5, 5)
(3, 0, 1, (0, 0, 1), 10): (6, 6)
(3, 0, 1, (0, 0, 1), 11): (4, 4)
(3, 0, 1, (0, 0, 1), 13): (1, 1)
(3, 0, 1, (0, 1, 0), -16): (0, 1)
(3, 0, 1, (0, 1, 0), -15): (0, 1)
(3, 0, 1, (0, 1, 0), -11): (0, 1)
(3, 0, 1, (0, 1, 0), -10): (0, 7)
(3, 0, 1, (0, 1, 0), -9): (0, 12)
(3, 0, 1, (0, 1, 0), -8): (1, 29)
(3, 0, 1, (0, 1, 0), -7): (0, 53)
(3, 0, 1, (0, 1, 0), -6): (7, 114)
(3, 0, 1, (0, 1, 0), -5): (12, 199)
(3, 0, 1, (0, 1, 0), -4): (46, 405)
(3, 0, 1, (0, 1, 0), -3): (171, 852)
(3, 0, 1, (0, 1, 0), -2): (429, 1673)
(3, 0, 1, (0, 1, 0), -1): (1333, 3656)
(3, 0, 1, (0, 1, 0), 0): (3888, 7797)
(3, 0, 1, (0, 1, 0), 1): (2786, 4404)
(3, 0, 1, (0, 1, 0), 2): (1897, 2632)
(3, 0, 1, (0, 1, 0), 3): (1205, 1496)
(3, 0, 1, (0, 1, 0), 4): (725, 836)
(3, 0, 1, (0, 1, 0), 5): (399, 447)
(3, 0, 1, (0, 1, 0), 6): (231, 245)
(3, 0, 1, (0, 1, 0), 7): (85, 90)
(3, 0, 1, (0, 1, 0), 8): (51, 53)
(3, 0, 1, (0, 1, 0), 9): (21, 22)
(3, 0, 1, (0, 1, 0), 10): (11, 11)
(3, 0, 1, (0, 1, 0), 11): (7, 7)
(3, 0, 1, (0, 1, 0), 12): (1, 1)
(3, 0, 1, (0, 1, 0), 15): (1, 1)
(3, 0, 1, (0, 1, 1), -11): (0, 1)
(3, 0, 1, (0, 1, 1), -10): (0, 3)
(3, 0, 1, (0, 1, 1), -9): (0, 1)
(3, 0, 1, (0, 1, 1), -8): (1, 8)
(3, 0, 1, (0, 1, 1), -7): (1, 21)
(3, 0, 1, (0, 1, 1), -6): (0, 27)
(3, 0, 1, (0, 1, 1), -5): (8, 57)
(3, 0, 1, (0, 1, 1), -4): (21, 108)
(3, 0, 1, (0, 1, 1), -3): (73, 242)
(3, 0, 1, (0, 1, 1), -2): (148, 451)
(3, 0, 1, (0, 1, 1), -1): (399, 889)
(3, 0, 1, (0, 1, 1), 0): (1015, 1789)
(3, 0, 1, (0, 1, 1), 1): (883, 1312)
(3, 0, 1, (0, 1, 1), 2): (657, 833)
(3, 0, 1, (0, 1, 1), 3): (437, 518)
(3, 0, 1, (0, 1, 1), 4): (280, 324)
(3, 0, 1, (0, 1, 1), 5): (140, 156)
(3, 0, 1, (0, 1, 1), 6): (81, 86)
(3, 0, 1, (0, 1, 1), 7): (37, 39)
(3, 0, 1, (0, 1, 1), 8): (22, 22)
(3, 0, 1, (0, 1, 1), 9): (14, 15)
(3, 0, 1, (0, 1, 1), 10): (5, 5)
(3, 0, 1, (0, 1, 1), 11): (4, 4)
(3, 0, 1, (0, 1, 1), 12): (3, 3)
(3, 0, 1, (0, 1, 1), 13): (2, 2)
(3, 0, 1, (0, 1, 1), 15): (1, 1)
(3, 0, 1, (1, 0, 0), -15): (0, 1)
(3, 0, 1, (1, 0, 0), -14): (0, 1)
(3, 0, 1, (1, 0, 0), -13): (0, 2)
(3, 0, 1, (1, 0, 0), -12): (0, 3)
(3, 0, 1, (1, 0, 0), -11): (0, 15)
(3, 0, 1, (1, 0, 0), -10): (0, 18)
(3, 0, 1, (1, 0, 0), -9): (1, 46)
(3, 0, 1, (1, 0, 0), -8): (2, 96)
(3, 0, 1, (1, 0, 0), -7): (6, 191)
(3, 0, 1, (1, 0, 0), -6): (22, 369)
(3, 0, 1, (1, 0, 0), -5): (56, 749)
(3, 0, 1, (1, 0, 0), -4): (158, 1328)
(3, 0, 1, (1, 0, 0), -3): (490, 2629)
(3, 0, 1, (1, 0, 0), -2): (1099, 4667)
(3, 0, 1, (1, 0, 0), -1): (2935, 8345)
(3, 0, 1, (1, 0, 0), 0): (8077, 16971)
(3, 0, 1, (1, 0, 0), 1): (5535, 9236)
(3, 0, 1, (1, 0, 0), 2): (3837, 5450)
(3, 0, 1, (1, 0, 0), 3): (2350, 2957)
(3, 0, 1, (1, 0, 0), 4): (1428, 1671)
(3, 0, 1, (1, 0, 0), 5): (763, 858)
(3, 0, 1, (1, 0, 0), 6): (446, 482)
(3, 0, 1, (1, 0, 0), 7): (212, 226)
(3, 0, 1, (1, 0, 0), 8): (89, 91)
(3, 0, 1, (1, 0, 0), 9): (53, 55)
(3, 0, 1, (1, 0, 0), 10): (26, 26)
(3, 0, 1, (1, 0, 0), 11): (14, 14)
(3, 0, 1, (1, 0, 0), 12): (8, 8)
(3, 0, 1, (1, 0, 0), 13): (2, 2)
(3, 0, 1, (1, 0, 0), 14): (2, 2)
(3, 0, 1, (1, 0, 0), 15): (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, 2)
(3, 0, 1, (1, 0, 1), -9): (0, 5)
(3, 0, 1, (1, 0, 1), -8): (0, 12)
(3, 0, 1, (1, 0, 1), -7): (0, 12)
(3, 0, 1, (1, 0, 1), -6): (4, 43)
(3, 0, 1, (1, 0, 1), -5): (12, 90)
(3, 0, 1, (1, 0, 1), -4): (29, 178)
(3, 0, 1, (1, 0, 1), -3): (87, 332)
(3, 0, 1, (1, 0, 1), -2): (190, 623)
(3, 0, 1, (1, 0, 1), -1): (506, 1191)
(3, 0, 1, (1, 0, 1), 0): (1301, 2272)
(3, 0, 1, (1, 0, 1), 1): (1258, 1867)
(3, 0, 1, (1, 0, 1), 2): (950, 1271)
(3, 0, 1, (1, 0, 1), 3): (614, 755)
(3, 0, 1, (1, 0, 1), 4): (363, 420)
(3, 0, 1, (1, 0, 1), 5): (176, 194)
(3, 0, 1, (1, 0, 1), 6): (89, 94)
(3, 0, 1, (1, 0, 1), 7): (48, 49)
(3, 0, 1, (1, 0, 1), 8): (38, 38)
(3, 0, 1, (1, 0, 1), 9): (17, 18)
(3, 0, 1, (1, 0, 1), 10): (9, 9)
(3, 0, 1, (1, 0, 1), 11): (5, 5)
(3, 0, 1, (1, 0, 1), 12): (1, 1)
(3, 0, 1, (1, 0, 1), 13): (2, 2)
(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, 5)
(3, 0, 1, (1, 1, 0), -10): (0, 6)
(3, 0, 1, (1, 1, 0), -9): (0, 16)
(3, 0, 1, (1, 1, 0), -8): (0, 34)
(3, 0, 1, (1, 1, 0), -7): (5, 67)
(3, 0, 1, (1, 1, 0), -6): (8, 121)
(3, 0, 1, (1, 1, 0), -5): (19, 247)
(3, 0, 1, (1, 1, 0), -4): (69, 431)
(3, 0, 1, (1, 1, 0), -3): (179, 790)
(3, 0, 1, (1, 1, 0), -2): (444, 1476)
(3, 0, 1, (1, 1, 0), -1): (974, 2467)
(3, 0, 1, (1, 1, 0), 0): (2466, 4806)
(3, 0, 1, (1, 1, 0), 1): (2097, 3294)
(3, 0, 1, (1, 1, 0), 2): (1522, 2095)
(3, 0, 1, (1, 1, 0), 3): (988, 1229)
(3, 0, 1, (1, 1, 0), 4): (629, 744)
(3, 0, 1, (1, 1, 0), 5): (352, 385)
(3, 0, 1, (1, 1, 0), 6): (190, 202)
(3, 0, 1, (1, 1, 0), 7): (112, 118)
(3, 0, 1, (1, 1, 0), 8): (48, 49)
(3, 0, 1, (1, 1, 0), 9): (26, 27)
(3, 0, 1, (1, 1, 0), 10): (11, 11)
(3, 0, 1, (1, 1, 0), 11): (8, 9)
(3, 0, 1, (1, 1, 0), 12): (3, 4)
(3, 0, 1, (1, 1, 0), 13): (2, 2)
(3, 0, 1, (1, 1, 0), 14): (2, 2)
(3, 0, 1, (1, 1, 0), 15): (1, 1)
(3, 0, 1, (1, 1, 1), -10): (0, 2)
(3, 0, 1, (1, 1, 1), -9): (0, 5)
(3, 0, 1, (1, 1, 1), -8): (1, 18)
(3, 0, 1, (1, 1, 1), -7): (1, 20)
(3, 0, 1, (1, 1, 1), -6): (2, 34)
(3, 0, 1, (1, 1, 1), -5): (8, 59)
(3, 0, 1, (1, 1, 1), -4): (16, 106)
(3, 0, 1, (1, 1, 1), -3): (61, 199)
(3, 0, 1, (1, 1, 1), -2): (134, 365)
(3, 0, 1, (1, 1, 1), -1): (323, 719)
(3, 0, 1, (1, 1, 1), 0): (831, 1417)
(3, 0, 1, (1, 1, 1), 1): (820, 1212)
(3, 0, 1, (1, 1, 1), 2): (665, 863)
(3, 0, 1, (1, 1, 1), 3): (437, 519)
(3, 0, 1, (1, 1, 1), 4): (309, 350)
(3, 0, 1, (1, 1, 1), 5): (159, 172)
(3, 0, 1, (1, 1, 1), 6): (73, 75)
(3, 0, 1, (1, 1, 1), 7): (37, 38)
(3, 0, 1, (1, 1, 1), 8): (16, 16)
(3, 0, 1, (1, 1, 1), 9): (10, 11)
(3, 0, 1, (1, 1, 1), 10): (9, 9)
(3, 0, 1, (1, 1, 1), 11): (8, 8)
(3, 0, 1, (1, 1, 1), 12): (2, 2)
(3, 0, 1, (1, 1, 1), 13): (1, 1)
(3, 0, 2, (0, 0, 0), -16): (0, 1)
(3, 0, 2, (0, 0, 0), -15): (0, 1)
(3, 0, 2, (0, 0, 0), -14): (0, 3)
(3, 0, 2, (0, 0, 0), -13): (0, 6)
(3, 0, 2, (0, 0, 0), -12): (0, 6)
(3, 0, 2, (0, 0, 0), -11): (0, 13)
(3, 0, 2, (0, 0, 0), -10): (0, 42)
(3, 0, 2, (0, 0, 0), -9): (0, 82)
(3, 0, 2, (0, 0, 0), -8): (4, 171)
(3, 0, 2, (0, 0, 0), -7): (12, 326)
(3, 0, 2, (0, 0, 0), -6): (19, 698)
(3, 0, 2, (0, 0, 0), -5): (73, 1299)
(3, 0, 2, (0, 0, 0), -4): (207, 2518)
(3, 0, 2, (0, 0, 0), -3): (648, 4818)
(3, 0, 2, (0, 0, 0), -2): (1947, 9325)
(3, 0, 2, (0, 0, 0), -1): (5130, 17155)
(3, 0, 2, (0, 0, 0), 0): (15545, 35998)
(3, 0, 2, (0, 0, 0), 1): (9624, 17226)
(3, 0, 2, (0, 0, 0), 2): (6601, 9847)
(3, 0, 2, (0, 0, 0), 3): (4424, 5812)
(3, 0, 2, (0, 0, 0), 4): (2785, 3316)
(3, 0, 2, (0, 0, 0), 5): (1576, 1793)
(3, 0, 2, (0, 0, 0), 6): (868, 935)
(3, 0, 2, (0, 0, 0), 7): (417, 428)
(3, 0, 2, (0, 0, 0), 8): (231, 235)
(3, 0, 2, (0, 0, 0), 9): (106, 111)
(3, 0, 2, (0, 0, 0), 10): (63, 63)
(3, 0, 2, (0, 0, 0), 11): (26, 26)
(3, 0, 2, (0, 0, 0), 12): (14, 14)
(3, 0, 2, (0, 0, 0), 13): (8, 8)
(3, 0, 2, (0, 0, 0), 15): (1, 1)
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(3, 0, 2, (0, 0, 1), -10): (0, 3)
(3, 0, 2, (0, 0, 1), -9): (0, 4)
(3, 0, 2, (0, 0, 1), -8): (1, 15)
(3, 0, 2, (0, 0, 1), -7): (0, 23)
(3, 0, 2, (0, 0, 1), -6): (2, 60)
(3, 0, 2, (0, 0, 1), -5): (8, 104)
(3, 0, 2, (0, 0, 1), -4): (23, 190)
(3, 0, 2, (0, 0, 1), -3): (65, 406)
(3, 0, 2, (0, 0, 1), -2): (185, 787)
(3, 0, 2, (0, 0, 1), -1): (534, 1636)
(3, 0, 2, (0, 0, 1), 0): (1589, 3471)
(3, 0, 2, (0, 0, 1), 1): (1516, 2555)
(3, 0, 2, (0, 0, 1), 2): (1130, 1613)
(3, 0, 2, (0, 0, 1), 3): (779, 1008)
(3, 0, 2, (0, 0, 1), 4): (487, 557)
(3, 0, 2, (0, 0, 1), 5): (302, 333)
(3, 0, 2, (0, 0, 1), 6): (148, 163)
(3, 0, 2, (0, 0, 1), 7): (87, 92)
(3, 0, 2, (0, 0, 1), 8): (51, 52)
(3, 0, 2, (0, 0, 1), 9): (20, 20)
(3, 0, 2, (0, 0, 1), 10): (15, 16)
(3, 0, 2, (0, 0, 1), 11): (5, 5)
(3, 0, 2, (0, 0, 1), 12): (2, 2)
(3, 0, 2, (0, 0, 1), 14): (1, 1)
(3, 0, 2, (0, 0, 1), 15): (2, 2)
(3, 0, 2, (0, 0, 1), 16): (1, 1)
(3, 0, 2, (0, 1, 0), -16): (0, 1)
(3, 0, 2, (0, 1, 0), -15): (0, 1)
(3, 0, 2, (0, 1, 0), -14): (0, 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, 12)
(3, 0, 2, (0, 1, 0), -9): (0, 18)
(3, 0, 2, (0, 1, 0), -8): (2, 24)
(3, 0, 2, (0, 1, 0), -7): (0, 64)
(3, 0, 2, (0, 1, 0), -6): (7, 124)
(3, 0, 2, (0, 1, 0), -5): (12, 267)
(3, 0, 2, (0, 1, 0), -4): (44, 496)
(3, 0, 2, (0, 1, 0), -3): (191, 1130)
(3, 0, 2, (0, 1, 0), -2): (510, 2117)
(3, 0, 2, (0, 1, 0), -1): (1490, 4434)
(3, 0, 2, (0, 1, 0), 0): (4195, 9196)
(3, 0, 2, (0, 1, 0), 1): (3262, 5675)
(3, 0, 2, (0, 1, 0), 2): (2588, 3703)
(3, 0, 2, (0, 1, 0), 3): (1741, 2208)
(3, 0, 2, (0, 1, 0), 4): (1184, 1371)
(3, 0, 2, (0, 1, 0), 5): (633, 719)
(3, 0, 2, (0, 1, 0), 6): (406, 436)
(3, 0, 2, (0, 1, 0), 7): (177, 189)
(3, 0, 2, (0, 1, 0), 8): (80, 82)
(3, 0, 2, (0, 1, 0), 9): (43, 45)
(3, 0, 2, (0, 1, 0), 10): (30, 30)
(3, 0, 2, (0, 1, 0), 11): (15, 15)
(3, 0, 2, (0, 1, 0), 12): (12, 12)
(3, 0, 2, (0, 1, 0), 13): (7, 7)
(3, 0, 2, (0, 1, 0), 14): (2, 2)
(3, 0, 2, (0, 1, 0), 15): (1, 1)
(3, 0, 2, (0, 1, 0), 18): (1, 1)
(3, 0, 2, (0, 1, 1), -15): (0, 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, 2)
(3, 0, 2, (0, 1, 1), -9): (0, 2)
(3, 0, 2, (0, 1, 1), -8): (0, 9)
(3, 0, 2, (0, 1, 1), -7): (1, 28)
(3, 0, 2, (0, 1, 1), -6): (3, 39)
(3, 0, 2, (0, 1, 1), -5): (4, 57)
(3, 0, 2, (0, 1, 1), -4): (17, 120)
(3, 0, 2, (0, 1, 1), -3): (50, 248)
(3, 0, 2, (0, 1, 1), -2): (123, 433)
(3, 0, 2, (0, 1, 1), -1): (309, 801)
(3, 0, 2, (0, 1, 1), 0): (826, 1692)
(3, 0, 2, (0, 1, 1), 1): (778, 1313)
(3, 0, 2, (0, 1, 1), 2): (674, 957)
(3, 0, 2, (0, 1, 1), 3): (490, 617)
(3, 0, 2, (0, 1, 1), 4): (353, 430)
(3, 0, 2, (0, 1, 1), 5): (191, 214)
(3, 0, 2, (0, 1, 1), 6): (147, 154)
(3, 0, 2, (0, 1, 1), 7): (62, 67)
(3, 0, 2, (0, 1, 1), 8): (29, 29)
(3, 0, 2, (0, 1, 1), 9): (19, 20)
(3, 0, 2, (0, 1, 1), 10): (9, 10)
(3, 0, 2, (0, 1, 1), 11): (11, 11)
(3, 0, 2, (0, 1, 1), 12): (4, 4)
(3, 0, 2, (0, 1, 1), 16): (1, 1)
(3, 0, 2, (1, 0, 0), -15): (0, 2)
(3, 0, 2, (1, 0, 0), -13): (0, 2)
(3, 0, 2, (1, 0, 0), -12): (0, 4)
(3, 0, 2, (1, 0, 0), -11): (0, 8)
(3, 0, 2, (1, 0, 0), -10): (0, 17)
(3, 0, 2, (1, 0, 0), -9): (0, 50)
(3, 0, 2, (1, 0, 0), -8): (3, 85)
(3, 0, 2, (1, 0, 0), -7): (8, 193)
(3, 0, 2, (1, 0, 0), -6): (16, 370)
(3, 0, 2, (1, 0, 0), -5): (50, 689)
(3, 0, 2, (1, 0, 0), -4): (126, 1266)
(3, 0, 2, (1, 0, 0), -3): (361, 2427)
(3, 0, 2, (1, 0, 0), -2): (951, 4410)
(3, 0, 2, (1, 0, 0), -1): (2518, 7962)
(3, 0, 2, (1, 0, 0), 0): (7285, 16370)
(3, 0, 2, (1, 0, 0), 1): (5693, 9965)
(3, 0, 2, (1, 0, 0), 2): (4258, 6228)
(3, 0, 2, (1, 0, 0), 3): (2783, 3632)
(3, 0, 2, (1, 0, 0), 4): (1809, 2134)
(3, 0, 2, (1, 0, 0), 5): (1046, 1193)
(3, 0, 2, (1, 0, 0), 6): (558, 610)
(3, 0, 2, (1, 0, 0), 7): (319, 332)
(3, 0, 2, (1, 0, 0), 8): (150, 153)
(3, 0, 2, (1, 0, 0), 9): (90, 92)
(3, 0, 2, (1, 0, 0), 10): (45, 46)
(3, 0, 2, (1, 0, 0), 11): (20, 21)
(3, 0, 2, (1, 0, 0), 12): (12, 12)
(3, 0, 2, (1, 0, 0), 13): (4, 4)
(3, 0, 2, (1, 0, 0), 14): (3, 3)
(3, 0, 2, (1, 0, 0), 15): (2, 2)
(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, 6)
(3, 0, 2, (1, 0, 1), -8): (0, 12)
(3, 0, 2, (1, 0, 1), -7): (2, 34)
(3, 0, 2, (1, 0, 1), -6): (6, 74)
(3, 0, 2, (1, 0, 1), -5): (14, 123)
(3, 0, 2, (1, 0, 1), -4): (29, 226)
(3, 0, 2, (1, 0, 1), -3): (73, 404)
(3, 0, 2, (1, 0, 1), -2): (202, 735)
(3, 0, 2, (1, 0, 1), -1): (486, 1386)
(3, 0, 2, (1, 0, 1), 0): (1394, 2903)
(3, 0, 2, (1, 0, 1), 1): (1416, 2345)
(3, 0, 2, (1, 0, 1), 2): (1190, 1700)
(3, 0, 2, (1, 0, 1), 3): (792, 999)
(3, 0, 2, (1, 0, 1), 4): (531, 622)
(3, 0, 2, (1, 0, 1), 5): (328, 362)
(3, 0, 2, (1, 0, 1), 6): (164, 172)
(3, 0, 2, (1, 0, 1), 7): (107, 113)
(3, 0, 2, (1, 0, 1), 8): (49, 50)
(3, 0, 2, (1, 0, 1), 9): (25, 26)
(3, 0, 2, (1, 0, 1), 10): (12, 12)
(3, 0, 2, (1, 0, 1), 11): (9, 9)
(3, 0, 2, (1, 0, 1), 13): (2, 2)
(3, 0, 2, (1, 0, 1), 15): (2, 2)
(3, 0, 2, (1, 0, 1), 16): (1, 1)
(3, 0, 2, (1, 1, 0), -15): (0, 1)
(3, 0, 2, (1, 1, 0), -12): (0, 4)
(3, 0, 2, (1, 1, 0), -11): (0, 5)
(3, 0, 2, (1, 1, 0), -10): (0, 10)
(3, 0, 2, (1, 1, 0), -9): (0, 22)
(3, 0, 2, (1, 1, 0), -8): (2, 29)
(3, 0, 2, (1, 1, 0), -7): (2, 85)
(3, 0, 2, (1, 1, 0), -6): (7, 148)
(3, 0, 2, (1, 1, 0), -5): (27, 287)
(3, 0, 2, (1, 1, 0), -4): (54, 496)
(3, 0, 2, (1, 1, 0), -3): (169, 1006)
(3, 0, 2, (1, 1, 0), -2): (396, 1669)
(3, 0, 2, (1, 1, 0), -1): (1032, 2971)
(3, 0, 2, (1, 1, 0), 0): (2723, 5828)
(3, 0, 2, (1, 1, 0), 1): (2476, 4276)
(3, 0, 2, (1, 1, 0), 2): (2053, 2935)
(3, 0, 2, (1, 1, 0), 3): (1450, 1828)
(3, 0, 2, (1, 1, 0), 4): (985, 1148)
(3, 0, 2, (1, 1, 0), 5): (544, 619)
(3, 0, 2, (1, 1, 0), 6): (324, 351)
(3, 0, 2, (1, 1, 0), 7): (175, 184)
(3, 0, 2, (1, 1, 0), 8): (103, 106)
(3, 0, 2, (1, 1, 0), 9): (49, 51)
(3, 0, 2, (1, 1, 0), 10): (19, 19)
(3, 0, 2, (1, 1, 0), 11): (11, 11)
(3, 0, 2, (1, 1, 0), 12): (7, 8)
(3, 0, 2, (1, 1, 0), 14): (2, 2)
(3, 0, 2, (1, 1, 0), 15): (1, 1)
(3, 0, 2, (1, 1, 0), 16): (1, 1)
(3, 0, 2, (1, 1, 1), -11): (0, 1)
(3, 0, 2, (1, 1, 1), -10): (0, 4)
(3, 0, 2, (1, 1, 1), -9): (0, 4)
(3, 0, 2, (1, 1, 1), -8): (1, 10)
(3, 0, 2, (1, 1, 1), -7): (1, 23)
(3, 0, 2, (1, 1, 1), -6): (1, 30)
(3, 0, 2, (1, 1, 1), -5): (13, 70)
(3, 0, 2, (1, 1, 1), -4): (25, 146)
(3, 0, 2, (1, 1, 1), -3): (53, 263)
(3, 0, 2, (1, 1, 1), -2): (134, 460)
(3, 0, 2, (1, 1, 1), -1): (351, 873)
(3, 0, 2, (1, 1, 1), 0): (889, 1755)
(3, 0, 2, (1, 1, 1), 1): (876, 1441)
(3, 0, 2, (1, 1, 1), 2): (779, 1074)
(3, 0, 2, (1, 1, 1), 3): (516, 620)
(3, 0, 2, (1, 1, 1), 4): (392, 465)
(3, 0, 2, (1, 1, 1), 5): (200, 223)
(3, 0, 2, (1, 1, 1), 6): (111, 117)
(3, 0, 2, (1, 1, 1), 7): (68, 71)
(3, 0, 2, (1, 1, 1), 8): (34, 34)
(3, 0, 2, (1, 1, 1), 9): (19, 19)
(3, 0, 2, (1, 1, 1), 10): (8, 8)
(3, 0, 2, (1, 1, 1), 11): (8, 8)
(3, 0, 2, (1, 1, 1), 12): (3, 3)
(3, 0, 2, (1, 1, 1), 13): (2, 2)
(3, 1, 0, (0, 0, 0), -18): (0, 1)
(3, 1, 0, (0, 0, 0), -16): (0, 1)
(3, 1, 0, (0, 0, 0), -15): (0, 5)
(3, 1, 0, (0, 0, 0), -14): (0, 6)
(3, 1, 0, (0, 0, 0), -13): (0, 18)
(3, 1, 0, (0, 0, 0), -12): (1, 36)
(3, 1, 0, (0, 0, 0), -11): (1, 68)
(3, 1, 0, (0, 0, 0), -10): (3, 137)
(3, 1, 0, (0, 0, 0), -9): (8, 255)
(3, 1, 0, (0, 0, 0), -8): (10, 514)
(3, 1, 0, (0, 0, 0), -7): (49, 1026)
(3, 1, 0, (0, 0, 0), -6): (163, 2086)
(3, 1, 0, (0, 0, 0), -5): (474, 3902)
(3, 1, 0, (0, 0, 0), -4): (1161, 7012)
(3, 1, 0, (0, 0, 0), -3): (2917, 11820)
(3, 1, 0, (0, 0, 0), -2): (6571, 19339)
(3, 1, 0, (0, 0, 0), -1): (14201, 31119)
(3, 1, 0, (0, 0, 0), 0): (31610, 54332)
(3, 1, 0, (0, 0, 0), 1): (19253, 27043)
(3, 1, 0, (0, 0, 0), 2): (12056, 14966)
(3, 1, 0, (0, 0, 0), 3): (7147, 8228)
(3, 1, 0, (0, 0, 0), 4): (4071, 4407)
(3, 1, 0, (0, 0, 0), 5): (2252, 2387)
(3, 1, 0, (0, 0, 0), 6): (1237, 1275)
(3, 1, 0, (0, 0, 0), 7): (594, 604)
(3, 1, 0, (0, 0, 0), 8): (286, 290)
(3, 1, 0, (0, 0, 0), 9): (148, 148)
(3, 1, 0, (0, 0, 0), 10): (62, 63)
(3, 1, 0, (0, 0, 0), 11): (31, 31)
(3, 1, 0, (0, 0, 0), 12): (7, 7)
(3, 1, 0, (0, 0, 0), 13): (10, 10)
(3, 1, 0, (0, 0, 0), 14): (4, 4)
(3, 1, 0, (0, 0, 0), 15): (4, 4)
(3, 1, 0, (0, 0, 0), 16): (2, 2)
(3, 1, 0, (0, 0, 0), 17): (1, 1)
(3, 1, 0, (0, 0, 1), -10): (0, 2)
(3, 1, 0, (0, 0, 1), -9): (0, 3)
(3, 1, 0, (0, 0, 1), -8): (1, 8)
(3, 1, 0, (0, 0, 1), -7): (0, 17)
(3, 1, 0, (0, 0, 1), -6): (5, 22)
(3, 1, 0, (0, 0, 1), -5): (11, 43)
(3, 1, 0, (0, 0, 1), -4): (24, 82)
(3, 1, 0, (0, 0, 1), -3): (50, 139)
(3, 1, 0, (0, 0, 1), -2): (89, 219)
(3, 1, 0, (0, 0, 1), -1): (237, 424)
(3, 1, 0, (0, 0, 1), 0): (486, 691)
(3, 1, 0, (0, 0, 1), 1): (388, 508)
(3, 1, 0, (0, 0, 1), 2): (347, 396)
(3, 1, 0, (0, 0, 1), 3): (202, 221)
(3, 1, 0, (0, 0, 1), 4): (103, 111)
(3, 1, 0, (0, 0, 1), 5): (56, 57)
(3, 1, 0, (0, 0, 1), 6): (36, 37)
(3, 1, 0, (0, 0, 1), 7): (19, 19)
(3, 1, 0, (0, 0, 1), 8): (5, 5)
(3, 1, 0, (0, 0, 1), 9): (2, 2)
(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): (2, 2)
(3, 1, 0, (0, 0, 1), 14): (1, 1)
(3, 1, 0, (0, 1, 0), -12): (0, 1)
(3, 1, 0, (0, 1, 0), -11): (0, 3)
(3, 1, 0, (0, 1, 0), -10): (1, 7)
(3, 1, 0, (0, 1, 0), -9): (0, 18)
(3, 1, 0, (0, 1, 0), -8): (3, 28)
(3, 1, 0, (0, 1, 0), -7): (3, 43)
(3, 1, 0, (0, 1, 0), -6): (11, 122)
(3, 1, 0, (0, 1, 0), -5): (47, 215)
(3, 1, 0, (0, 1, 0), -4): (93, 399)
(3, 1, 0, (0, 1, 0), -3): (218, 682)
(3, 1, 0, (0, 1, 0), -2): (503, 1206)
(3, 1, 0, (0, 1, 0), -1): (1088, 1994)
(3, 1, 0, (0, 1, 0), 0): (2192, 3321)
(3, 1, 0, (0, 1, 0), 1): (1614, 2096)
(3, 1, 0, (0, 1, 0), 2): (1179, 1380)
(3, 1, 0, (0, 1, 0), 3): (786, 874)
(3, 1, 0, (0, 1, 0), 4): (446, 476)
(3, 1, 0, (0, 1, 0), 5): (239, 250)
(3, 1, 0, (0, 1, 0), 6): (111, 116)
(3, 1, 0, (0, 1, 0), 7): (56, 57)
(3, 1, 0, (0, 1, 0), 8): (19, 20)
(3, 1, 0, (0, 1, 0), 9): (18, 18)
(3, 1, 0, (0, 1, 0), 10): (7, 7)
(3, 1, 0, (0, 1, 0), 11): (5, 5)
(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, 6)
(3, 1, 0, (0, 1, 1), -7): (1, 7)
(3, 1, 0, (0, 1, 1), -6): (6, 21)
(3, 1, 0, (0, 1, 1), -5): (7, 38)
(3, 1, 0, (0, 1, 1), -4): (24, 86)
(3, 1, 0, (0, 1, 1), -3): (49, 138)
(3, 1, 0, (0, 1, 1), -2): (138, 245)
(3, 1, 0, (0, 1, 1), -1): (213, 324)
(3, 1, 0, (0, 1, 1), 0): (412, 541)
(3, 1, 0, (0, 1, 1), 1): (420, 489)
(3, 1, 0, (0, 1, 1), 2): (313, 350)
(3, 1, 0, (0, 1, 1), 3): (217, 236)
(3, 1, 0, (0, 1, 1), 4): (116, 123)
(3, 1, 0, (0, 1, 1), 5): (63, 64)
(3, 1, 0, (0, 1, 1), 6): (34, 35)
(3, 1, 0, (0, 1, 1), 7): (16, 16)
(3, 1, 0, (0, 1, 1), 8): (3, 3)
(3, 1, 0, (0, 1, 1), 9): (6, 6)
(3, 1, 0, (0, 1, 1), 10): (3, 3)
(3, 1, 0, (0, 1, 1), 11): (2, 2)
(3, 1, 0, (1, 0, 0), -15): (0, 1)
(3, 1, 0, (1, 0, 0), -14): (0, 1)
(3, 1, 0, (1, 0, 0), -13): (0, 1)
(3, 1, 0, (1, 0, 0), -12): (0, 6)
(3, 1, 0, (1, 0, 0), -11): (0, 9)
(3, 1, 0, (1, 0, 0), -10): (1, 26)
(3, 1, 0, (1, 0, 0), -9): (6, 69)
(3, 1, 0, (1, 0, 0), -8): (4, 115)
(3, 1, 0, (1, 0, 0), -7): (18, 264)
(3, 1, 0, (1, 0, 0), -6): (54, 482)
(3, 1, 0, (1, 0, 0), -5): (170, 967)
(3, 1, 0, (1, 0, 0), -4): (375, 1780)
(3, 1, 0, (1, 0, 0), -3): (893, 3003)
(3, 1, 0, (1, 0, 0), -2): (1898, 4863)
(3, 1, 0, (1, 0, 0), -1): (3911, 7695)
(3, 1, 0, (1, 0, 0), 0): (8291, 13124)
(3, 1, 0, (1, 0, 0), 1): (5295, 7080)
(3, 1, 0, (1, 0, 0), 2): (3444, 4150)
(3, 1, 0, (1, 0, 0), 3): (2086, 2366)
(3, 1, 0, (1, 0, 0), 4): (1183, 1264)
(3, 1, 0, (1, 0, 0), 5): (631, 663)
(3, 1, 0, (1, 0, 0), 6): (333, 344)
(3, 1, 0, (1, 0, 0), 7): (162, 162)
(3, 1, 0, (1, 0, 0), 8): (75, 76)
(3, 1, 0, (1, 0, 0), 9): (44, 44)
(3, 1, 0, (1, 0, 0), 10): (20, 21)
(3, 1, 0, (1, 0, 0), 11): (9, 9)
(3, 1, 0, (1, 0, 0), 12): (2, 2)
(3, 1, 0, (1, 0, 0), 13): (2, 2)
(3, 1, 0, (1, 0, 0), 14): (1, 1)
(3, 1, 0, (1, 0, 0), 15): (3, 3)
(3, 1, 0, (1, 0, 0), 16): (1, 1)
(3, 1, 0, (1, 0, 1), -11): (0, 1)
(3, 1, 0, (1, 0, 1), -10): (0, 1)
(3, 1, 0, (1, 0, 1), -9): (2, 6)
(3, 1, 0, (1, 0, 1), -8): (1, 6)
(3, 1, 0, (1, 0, 1), -7): (1, 15)
(3, 1, 0, (1, 0, 1), -6): (4, 27)
(3, 1, 0, (1, 0, 1), -5): (21, 72)
(3, 1, 0, (1, 0, 1), -4): (37, 148)
(3, 1, 0, (1, 0, 1), -3): (83, 225)
(3, 1, 0, (1, 0, 1), -2): (214, 416)
(3, 1, 0, (1, 0, 1), -1): (379, 619)
(3, 1, 0, (1, 0, 1), 0): (792, 1050)
(3, 1, 0, (1, 0, 1), 1): (673, 821)
(3, 1, 0, (1, 0, 1), 2): (516, 595)
(3, 1, 0, (1, 0, 1), 3): (296, 316)
(3, 1, 0, (1, 0, 1), 4): (162, 170)
(3, 1, 0, (1, 0, 1), 5): (85, 88)
(3, 1, 0, (1, 0, 1), 6): (41, 43)
(3, 1, 0, (1, 0, 1), 7): (18, 18)
(3, 1, 0, (1, 0, 1), 8): (9, 9)
(3, 1, 0, (1, 0, 1), 9): (5, 5)
(3, 1, 0, (1, 0, 1), 10): (1, 1)
(3, 1, 0, (1, 0, 1), 11): (1, 2)
(3, 1, 0, (1, 0, 1), 12): (1, 1)
(3, 1, 0, (1, 1, 0), -11): (0, 1)
(3, 1, 0, (1, 1, 0), -10): (0, 5)
(3, 1, 0, (1, 1, 0), -9): (0, 17)
(3, 1, 0, (1, 1, 0), -8): (1, 24)
(3, 1, 0, (1, 1, 0), -7): (7, 61)
(3, 1, 0, (1, 1, 0), -6): (14, 111)
(3, 1, 0, (1, 1, 0), -5): (57, 243)
(3, 1, 0, (1, 1, 0), -4): (119, 458)
(3, 1, 0, (1, 1, 0), -3): (278, 736)
(3, 1, 0, (1, 1, 0), -2): (515, 1119)
(3, 1, 0, (1, 1, 0), -1): (927, 1566)
(3, 1, 0, (1, 1, 0), 0): (1785, 2561)
(3, 1, 0, (1, 1, 0), 1): (1334, 1691)
(3, 1, 0, (1, 1, 0), 2): (903, 1048)
(3, 1, 0, (1, 1, 0), 3): (612, 686)
(3, 1, 0, (1, 1, 0), 4): (348, 373)
(3, 1, 0, (1, 1, 0), 5): (222, 225)
(3, 1, 0, (1, 1, 0), 6): (113, 114)
(3, 1, 0, (1, 1, 0), 7): (45, 47)
(3, 1, 0, (1, 1, 0), 8): (24, 24)
(3, 1, 0, (1, 1, 0), 9): (17, 17)
(3, 1, 0, (1, 1, 0), 10): (9, 10)
(3, 1, 0, (1, 1, 0), 11): (2, 2)
(3, 1, 0, (1, 1, 0), 15): (1, 1)
(3, 1, 0, (1, 1, 1), -11): (0, 1)
(3, 1, 0, (1, 1, 1), -10): (0, 2)
(3, 1, 0, (1, 1, 1), -9): (1, 7)
(3, 1, 0, (1, 1, 1), -8): (1, 4)
(3, 1, 0, (1, 1, 1), -7): (1, 10)
(3, 1, 0, (1, 1, 1), -6): (3, 27)
(3, 1, 0, (1, 1, 1), -5): (13, 47)
(3, 1, 0, (1, 1, 1), -4): (47, 124)
(3, 1, 0, (1, 1, 1), -3): (78, 177)
(3, 1, 0, (1, 1, 1), -2): (150, 250)
(3, 1, 0, (1, 1, 1), -1): (245, 367)
(3, 1, 0, (1, 1, 1), 0): (455, 580)
(3, 1, 0, (1, 1, 1), 1): (410, 495)
(3, 1, 0, (1, 1, 1), 2): (299, 329)
(3, 1, 0, (1, 1, 1), 3): (214, 231)
(3, 1, 0, (1, 1, 1), 4): (123, 128)
(3, 1, 0, (1, 1, 1), 5): (79, 80)
(3, 1, 0, (1, 1, 1), 6): (47, 47)
(3, 1, 0, (1, 1, 1), 7): (19, 19)
(3, 1, 0, (1, 1, 1), 8): (7, 7)
(3, 1, 0, (1, 1, 1), 9): (5, 5)
(3, 1, 0, (1, 1, 1), 10): (4, 4)
(3, 1, 0, (1, 1, 1), 11): (3, 3)
(3, 1, 1, (0, 0, 0), -18): (0, 1)
(3, 1, 1, (0, 0, 0), -16): (0, 1)
(3, 1, 1, (0, 0, 0), -15): (0, 3)
(3, 1, 1, (0, 0, 0), -14): (0, 5)
(3, 1, 1, (0, 0, 0), -13): (0, 16)
(3, 1, 1, (0, 0, 0), -12): (1, 30)
(3, 1, 1, (0, 0, 0), -11): (1, 59)
(3, 1, 1, (0, 0, 0), -10): (1, 104)
(3, 1, 1, (0, 0, 0), -9): (3, 169)
(3, 1, 1, (0, 0, 0), -8): (6, 379)
(3, 1, 1, (0, 0, 0), -7): (29, 710)
(3, 1, 1, (0, 0, 0), -6): (94, 1477)
(3, 1, 1, (0, 0, 0), -5): (250, 2716)
(3, 1, 1, (0, 0, 0), -4): (685, 4874)
(3, 1, 1, (0, 0, 0), -3): (1806, 8222)
(3, 1, 1, (0, 0, 0), -2): (4233, 13561)
(3, 1, 1, (0, 0, 0), -1): (9442, 22035)
(3, 1, 1, (0, 0, 0), 0): (21686, 39033)
(3, 1, 1, (0, 0, 0), 1): (13543, 19647)
(3, 1, 1, (0, 0, 0), 2): (8760, 11107)
(3, 1, 1, (0, 0, 0), 3): (5433, 6320)
(3, 1, 1, (0, 0, 0), 4): (3241, 3530)
(3, 1, 1, (0, 0, 0), 5): (1894, 2017)
(3, 1, 1, (0, 0, 0), 6): (1044, 1082)
(3, 1, 1, (0, 0, 0), 7): (515, 529)
(3, 1, 1, (0, 0, 0), 8): (265, 267)
(3, 1, 1, (0, 0, 0), 9): (112, 112)
(3, 1, 1, (0, 0, 0), 10): (51, 51)
(3, 1, 1, (0, 0, 0), 11): (28, 28)
(3, 1, 1, (0, 0, 0), 12): (11, 11)
(3, 1, 1, (0, 0, 0), 13): (9, 9)
(3, 1, 1, (0, 0, 0), 14): (2, 2)
(3, 1, 1, (0, 0, 0), 15): (1, 1)
(3, 1, 1, (0, 0, 0), 16): (1, 1)
(3, 1, 1, (0, 0, 0), 17): (1, 1)
(3, 1, 1, (0, 0, 0), 18): (1, 1)
(3, 1, 1, (0, 0, 1), -10): (0, 2)
(3, 1, 1, (0, 0, 1), -9): (0, 6)
(3, 1, 1, (0, 0, 1), -8): (2, 28)
(3, 1, 1, (0, 0, 1), -7): (2, 37)
(3, 1, 1, (0, 0, 1), -6): (5, 61)
(3, 1, 1, (0, 0, 1), -5): (21, 108)
(3, 1, 1, (0, 0, 1), -4): (48, 195)
(3, 1, 1, (0, 0, 1), -3): (124, 383)
(3, 1, 1, (0, 0, 1), -2): (301, 736)
(3, 1, 1, (0, 0, 1), -1): (638, 1215)
(3, 1, 1, (0, 0, 1), 0): (1470, 2227)
(3, 1, 1, (0, 0, 1), 1): (1221, 1645)
(3, 1, 1, (0, 0, 1), 2): (987, 1173)
(3, 1, 1, (0, 0, 1), 3): (625, 702)
(3, 1, 1, (0, 0, 1), 4): (369, 402)
(3, 1, 1, (0, 0, 1), 5): (205, 214)
(3, 1, 1, (0, 0, 1), 6): (111, 119)
(3, 1, 1, (0, 0, 1), 7): (42, 42)
(3, 1, 1, (0, 0, 1), 8): (20, 20)
(3, 1, 1, (0, 0, 1), 9): (11, 11)
(3, 1, 1, (0, 0, 1), 10): (8, 8)
(3, 1, 1, (0, 0, 1), 11): (5, 5)
(3, 1, 1, (0, 0, 1), 12): (2, 2)
(3, 1, 1, (0, 0, 1), 13): (1, 1)
(3, 1, 1, (0, 1, 0), -12): (0, 5)
(3, 1, 1, (0, 1, 0), -11): (0, 4)
(3, 1, 1, (0, 1, 0), -10): (1, 18)
(3, 1, 1, (0, 1, 0), -9): (0, 19)
(3, 1, 1, (0, 1, 0), -8): (3, 39)
(3, 1, 1, (0, 1, 0), -7): (3, 92)
(3, 1, 1, (0, 1, 0), -6): (21, 223)
(3, 1, 1, (0, 1, 0), -5): (54, 356)
(3, 1, 1, (0, 1, 0), -4): (139, 697)
(3, 1, 1, (0, 1, 0), -3): (326, 1192)
(3, 1, 1, (0, 1, 0), -2): (778, 2147)
(3, 1, 1, (0, 1, 0), -1): (1916, 3982)
(3, 1, 1, (0, 1, 0), 0): (4325, 7000)
(3, 1, 1, (0, 1, 0), 1): (3257, 4471)
(3, 1, 1, (0, 1, 0), 2): (2236, 2746)
(3, 1, 1, (0, 1, 0), 3): (1461, 1670)
(3, 1, 1, (0, 1, 0), 4): (911, 988)
(3, 1, 1, (0, 1, 0), 5): (487, 529)
(3, 1, 1, (0, 1, 0), 6): (240, 248)
(3, 1, 1, (0, 1, 0), 7): (147, 150)
(3, 1, 1, (0, 1, 0), 8): (70, 73)
(3, 1, 1, (0, 1, 0), 9): (30, 30)
(3, 1, 1, (0, 1, 0), 10): (14, 14)
(3, 1, 1, (0, 1, 0), 11): (9, 9)
(3, 1, 1, (0, 1, 0), 12): (2, 2)
(3, 1, 1, (0, 1, 0), 13): (3, 3)
(3, 1, 1, (0, 1, 0), 15): (1, 1)
(3, 1, 1, (0, 1, 0), 16): (1, 1)
(3, 1, 1, (0, 1, 1), -12): (0, 1)
(3, 1, 1, (0, 1, 1), -11): (0, 2)
(3, 1, 1, (0, 1, 1), -10): (0, 2)
(3, 1, 1, (0, 1, 1), -9): (0, 6)
(3, 1, 1, (0, 1, 1), -8): (0, 14)
(3, 1, 1, (0, 1, 1), -7): (2, 22)
(3, 1, 1, (0, 1, 1), -6): (9, 53)
(3, 1, 1, (0, 1, 1), -5): (17, 80)
(3, 1, 1, (0, 1, 1), -4): (59, 193)
(3, 1, 1, (0, 1, 1), -3): (129, 359)
(3, 1, 1, (0, 1, 1), -2): (294, 624)
(3, 1, 1, (0, 1, 1), -1): (581, 995)
(3, 1, 1, (0, 1, 1), 0): (1169, 1722)
(3, 1, 1, (0, 1, 1), 1): (1026, 1292)
(3, 1, 1, (0, 1, 1), 2): (804, 925)
(3, 1, 1, (0, 1, 1), 3): (511, 560)
(3, 1, 1, (0, 1, 1), 4): (311, 338)
(3, 1, 1, (0, 1, 1), 5): (172, 181)
(3, 1, 1, (0, 1, 1), 6): (101, 102)
(3, 1, 1, (0, 1, 1), 7): (61, 62)
(3, 1, 1, (0, 1, 1), 8): (25, 25)
(3, 1, 1, (0, 1, 1), 9): (15, 15)
(3, 1, 1, (0, 1, 1), 10): (10, 10)
(3, 1, 1, (0, 1, 1), 11): (6, 6)
(3, 1, 1, (0, 1, 1), 12): (1, 1)
(3, 1, 1, (0, 1, 1), 13): (1, 1)
(3, 1, 1, (0, 1, 1), 14): (1, 1)
(3, 1, 1, (0, 1, 1), 18): (1, 1)
(3, 1, 1, (1, 0, 0), -18): (0, 1)
(3, 1, 1, (1, 0, 0), -15): (0, 2)
(3, 1, 1, (1, 0, 0), -14): (0, 4)
(3, 1, 1, (1, 0, 0), -13): (0, 4)
(3, 1, 1, (1, 0, 0), -12): (0, 12)
(3, 1, 1, (1, 0, 0), -11): (1, 24)
(3, 1, 1, (1, 0, 0), -10): (2, 42)
(3, 1, 1, (1, 0, 0), -9): (3, 69)
(3, 1, 1, (1, 0, 0), -8): (2, 146)
(3, 1, 1, (1, 0, 0), -7): (17, 300)
(3, 1, 1, (1, 0, 0), -6): (51, 595)
(3, 1, 1, (1, 0, 0), -5): (138, 1144)
(3, 1, 1, (1, 0, 0), -4): (352, 2025)
(3, 1, 1, (1, 0, 0), -3): (895, 3426)
(3, 1, 1, (1, 0, 0), -2): (1949, 5564)
(3, 1, 1, (1, 0, 0), -1): (4024, 8671)
(3, 1, 1, (1, 0, 0), 0): (8883, 14914)
(3, 1, 1, (1, 0, 0), 1): (6249, 8613)
(3, 1, 1, (1, 0, 0), 2): (4290, 5307)
(3, 1, 1, (1, 0, 0), 3): (2776, 3181)
(3, 1, 1, (1, 0, 0), 4): (1587, 1709)
(3, 1, 1, (1, 0, 0), 5): (932, 986)
(3, 1, 1, (1, 0, 0), 6): (483, 497)
(3, 1, 1, (1, 0, 0), 7): (262, 266)
(3, 1, 1, (1, 0, 0), 8): (132, 134)
(3, 1, 1, (1, 0, 0), 9): (72, 72)
(3, 1, 1, (1, 0, 0), 10): (34, 34)
(3, 1, 1, (1, 0, 0), 11): (20, 20)
(3, 1, 1, (1, 0, 0), 12): (9, 9)
(3, 1, 1, (1, 0, 0), 13): (5, 5)
(3, 1, 1, (1, 0, 0), 14): (3, 3)
(3, 1, 1, (1, 0, 0), 15): (2, 2)
(3, 1, 1, (1, 0, 0), 18): (1, 1)
(3, 1, 1, (1, 0, 1), -12): (0, 1)
(3, 1, 1, (1, 0, 1), -11): (0, 2)
(3, 1, 1, (1, 0, 1), -10): (0, 6)
(3, 1, 1, (1, 0, 1), -9): (1, 14)
(3, 1, 1, (1, 0, 1), -8): (1, 16)
(3, 1, 1, (1, 0, 1), -7): (1, 39)
(3, 1, 1, (1, 0, 1), -6): (8, 82)
(3, 1, 1, (1, 0, 1), -5): (24, 108)
(3, 1, 1, (1, 0, 1), -4): (68, 283)
(3, 1, 1, (1, 0, 1), -3): (151, 517)
(3, 1, 1, (1, 0, 1), -2): (324, 765)
(3, 1, 1, (1, 0, 1), -1): (740, 1295)
(3, 1, 1, (1, 0, 1), 0): (1566, 2262)
(3, 1, 1, (1, 0, 1), 1): (1433, 1832)
(3, 1, 1, (1, 0, 1), 2): (1073, 1260)
(3, 1, 1, (1, 0, 1), 3): (678, 757)
(3, 1, 1, (1, 0, 1), 4): (399, 425)
(3, 1, 1, (1, 0, 1), 5): (238, 250)
(3, 1, 1, (1, 0, 1), 6): (111, 116)
(3, 1, 1, (1, 0, 1), 7): (60, 60)
(3, 1, 1, (1, 0, 1), 8): (26, 26)
(3, 1, 1, (1, 0, 1), 9): (22, 22)
(3, 1, 1, (1, 0, 1), 10): (7, 8)
(3, 1, 1, (1, 0, 1), 11): (6, 7)
(3, 1, 1, (1, 0, 1), 12): (4, 4)
(3, 1, 1, (1, 0, 1), 15): (1, 1)
(3, 1, 1, (1, 0, 1), 16): (1, 1)
(3, 1, 1, (1, 1, 0), -15): (0, 1)
(3, 1, 1, (1, 1, 0), -14): (0, 1)
(3, 1, 1, (1, 1, 0), -13): (0, 2)
(3, 1, 1, (1, 1, 0), -12): (0, 6)
(3, 1, 1, (1, 1, 0), -11): (0, 8)
(3, 1, 1, (1, 1, 0), -10): (0, 8)
(3, 1, 1, (1, 1, 0), -9): (0, 27)
(3, 1, 1, (1, 1, 0), -8): (1, 46)
(3, 1, 1, (1, 1, 0), -7): (10, 105)
(3, 1, 1, (1, 1, 0), -6): (21, 178)
(3, 1, 1, (1, 1, 0), -5): (72, 386)
(3, 1, 1, (1, 1, 0), -4): (154, 721)
(3, 1, 1, (1, 1, 0), -3): (342, 1114)
(3, 1, 1, (1, 1, 0), -2): (753, 1811)
(3, 1, 1, (1, 1, 0), -1): (1429, 2701)
(3, 1, 1, (1, 1, 0), 0): (2943, 4540)
(3, 1, 1, (1, 1, 0), 1): (2471, 3288)
(3, 1, 1, (1, 1, 0), 2): (1707, 2047)
(3, 1, 1, (1, 1, 0), 3): (1217, 1372)
(3, 1, 1, (1, 1, 0), 4): (786, 835)
(3, 1, 1, (1, 1, 0), 5): (407, 423)
(3, 1, 1, (1, 1, 0), 6): (222, 227)
(3, 1, 1, (1, 1, 0), 7): (88, 89)
(3, 1, 1, (1, 1, 0), 8): (55, 58)
(3, 1, 1, (1, 1, 0), 9): (37, 37)
(3, 1, 1, (1, 1, 0), 10): (14, 14)
(3, 1, 1, (1, 1, 0), 11): (7, 7)
(3, 1, 1, (1, 1, 0), 12): (2, 2)
(3, 1, 1, (1, 1, 0), 13): (4, 4)
(3, 1, 1, (1, 1, 0), 14): (2, 2)
(3, 1, 1, (1, 1, 0), 16): (1, 1)
(3, 1, 1, (1, 1, 1), -15): (0, 1)
(3, 1, 1, (1, 1, 1), -12): (0, 1)
(3, 1, 1, (1, 1, 1), -11): (0, 1)
(3, 1, 1, (1, 1, 1), -10): (0, 3)
(3, 1, 1, (1, 1, 1), -9): (0, 10)
(3, 1, 1, (1, 1, 1), -8): (1, 10)
(3, 1, 1, (1, 1, 1), -7): (4, 22)
(3, 1, 1, (1, 1, 1), -6): (10, 53)
(3, 1, 1, (1, 1, 1), -5): (22, 105)
(3, 1, 1, (1, 1, 1), -4): (69, 220)
(3, 1, 1, (1, 1, 1), -3): (119, 313)
(3, 1, 1, (1, 1, 1), -2): (243, 506)
(3, 1, 1, (1, 1, 1), -1): (485, 820)
(3, 1, 1, (1, 1, 1), 0): (1033, 1466)
(3, 1, 1, (1, 1, 1), 1): (975, 1234)
(3, 1, 1, (1, 1, 1), 2): (813, 937)
(3, 1, 1, (1, 1, 1), 3): (566, 629)
(3, 1, 1, (1, 1, 1), 4): (338, 360)
(3, 1, 1, (1, 1, 1), 5): (205, 212)
(3, 1, 1, (1, 1, 1), 6): (107, 110)
(3, 1, 1, (1, 1, 1), 7): (55, 56)
(3, 1, 1, (1, 1, 1), 8): (26, 27)
(3, 1, 1, (1, 1, 1), 9): (12, 12)
(3, 1, 1, (1, 1, 1), 10): (8, 8)
(3, 1, 1, (1, 1, 1), 11): (2, 2)
(3, 1, 1, (1, 1, 1), 12): (2, 2)
(3, 1, 1, (1, 1, 1), 13): (1, 1)
(3, 1, 1, (1, 1, 1), 14): (1, 1)
(3, 1, 2, (0, 0, 0), -16): (0, 1)
(3, 1, 2, (0, 0, 0), -15): (0, 2)
(3, 1, 2, (0, 0, 0), -14): (0, 2)
(3, 1, 2, (0, 0, 0), -13): (0, 13)
(3, 1, 2, (0, 0, 0), -12): (1, 18)
(3, 1, 2, (0, 0, 0), -11): (0, 41)
(3, 1, 2, (0, 0, 0), -10): (0, 74)
(3, 1, 2, (0, 0, 0), -9): (2, 132)
(3, 1, 2, (0, 0, 0), -8): (5, 280)
(3, 1, 2, (0, 0, 0), -7): (19, 538)
(3, 1, 2, (0, 0, 0), -6): (56, 1096)
(3, 1, 2, (0, 0, 0), -5): (168, 2017)
(3, 1, 2, (0, 0, 0), -4): (475, 3694)
(3, 1, 2, (0, 0, 0), -3): (1276, 6258)
(3, 1, 2, (0, 0, 0), -2): (3013, 10310)
(3, 1, 2, (0, 0, 0), -1): (6958, 16970)
(3, 1, 2, (0, 0, 0), 0): (15968, 29911)
(3, 1, 2, (0, 0, 0), 1): (10620, 15823)
(3, 1, 2, (0, 0, 0), 2): (7415, 9533)
(3, 1, 2, (0, 0, 0), 3): (4978, 5859)
(3, 1, 2, (0, 0, 0), 4): (3188, 3501)
(3, 1, 2, (0, 0, 0), 5): (1854, 1984)
(3, 1, 2, (0, 0, 0), 6): (1038, 1079)
(3, 1, 2, (0, 0, 0), 7): (501, 515)
(3, 1, 2, (0, 0, 0), 8): (269, 271)
(3, 1, 2, (0, 0, 0), 9): (139, 139)
(3, 1, 2, (0, 0, 0), 10): (71, 71)
(3, 1, 2, (0, 0, 0), 11): (37, 37)
(3, 1, 2, (0, 0, 0), 12): (22, 22)
(3, 1, 2, (0, 0, 0), 13): (11, 11)
(3, 1, 2, (0, 0, 0), 14): (2, 2)
(3, 1, 2, (0, 0, 0), 15): (1, 1)
(3, 1, 2, (0, 0, 0), 16): (1, 1)
(3, 1, 2, (0, 0, 0), 17): (1, 1)
(3, 1, 2, (0, 0, 1), -15): (0, 1)
(3, 1, 2, (0, 0, 1), -11): (0, 1)
(3, 1, 2, (0, 0, 1), -10): (0, 6)
(3, 1, 2, (0, 0, 1), -9): (1, 15)
(3, 1, 2, (0, 0, 1), -8): (0, 32)
(3, 1, 2, (0, 0, 1), -7): (2, 44)
(3, 1, 2, (0, 0, 1), -6): (6, 89)
(3, 1, 2, (0, 0, 1), -5): (11, 171)
(3, 1, 2, (0, 0, 1), -4): (48, 325)
(3, 1, 2, (0, 0, 1), -3): (144, 571)
(3, 1, 2, (0, 0, 1), -2): (341, 1014)
(3, 1, 2, (0, 0, 1), -1): (824, 1882)
(3, 1, 2, (0, 0, 1), 0): (1871, 3216)
(3, 1, 2, (0, 0, 1), 1): (1684, 2486)
(3, 1, 2, (0, 0, 1), 2): (1326, 1669)
(3, 1, 2, (0, 0, 1), 3): (940, 1077)
(3, 1, 2, (0, 0, 1), 4): (555, 620)
(3, 1, 2, (0, 0, 1), 5): (356, 384)
(3, 1, 2, (0, 0, 1), 6): (178, 189)
(3, 1, 2, (0, 0, 1), 7): (108, 112)
(3, 1, 2, (0, 0, 1), 8): (38, 39)
(3, 1, 2, (0, 0, 1), 9): (26, 26)
(3, 1, 2, (0, 0, 1), 10): (12, 12)
(3, 1, 2, (0, 0, 1), 11): (10, 10)
(3, 1, 2, (0, 0, 1), 12): (4, 4)
(3, 1, 2, (0, 0, 1), 13): (1, 1)
(3, 1, 2, (0, 0, 1), 14): (1, 1)
(3, 1, 2, (0, 1, 0), -16): (0, 1)
(3, 1, 2, (0, 1, 0), -13): (0, 1)
(3, 1, 2, (0, 1, 0), -12): (0, 5)
(3, 1, 2, (0, 1, 0), -11): (0, 5)
(3, 1, 2, (0, 1, 0), -10): (0, 12)
(3, 1, 2, (0, 1, 0), -9): (0, 21)
(3, 1, 2, (0, 1, 0), -8): (2, 59)
(3, 1, 2, (0, 1, 0), -7): (7, 116)
(3, 1, 2, (0, 1, 0), -6): (23, 238)
(3, 1, 2, (0, 1, 0), -5): (56, 471)
(3, 1, 2, (0, 1, 0), -4): (102, 806)
(3, 1, 2, (0, 1, 0), -3): (355, 1474)
(3, 1, 2, (0, 1, 0), -2): (805, 2581)
(3, 1, 2, (0, 1, 0), -1): (2068, 4723)
(3, 1, 2, (0, 1, 0), 0): (4663, 8135)
(3, 1, 2, (0, 1, 0), 1): (3870, 5577)
(3, 1, 2, (0, 1, 0), 2): (2988, 3774)
(3, 1, 2, (0, 1, 0), 3): (2037, 2376)
(3, 1, 2, (0, 1, 0), 4): (1405, 1526)
(3, 1, 2, (0, 1, 0), 5): (802, 867)
(3, 1, 2, (0, 1, 0), 6): (487, 502)
(3, 1, 2, (0, 1, 0), 7): (247, 254)
(3, 1, 2, (0, 1, 0), 8): (130, 131)
(3, 1, 2, (0, 1, 0), 9): (62, 63)
(3, 1, 2, (0, 1, 0), 10): (29, 29)
(3, 1, 2, (0, 1, 0), 11): (26, 26)
(3, 1, 2, (0, 1, 0), 12): (10, 10)
(3, 1, 2, (0, 1, 0), 13): (8, 8)
(3, 1, 2, (0, 1, 0), 14): (1, 1)
(3, 1, 2, (0, 1, 0), 15): (1, 1)
(3, 1, 2, (0, 1, 1), -14): (0, 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), -11): (0, 2)
(3, 1, 2, (0, 1, 1), -10): (0, 6)
(3, 1, 2, (0, 1, 1), -9): (0, 6)
(3, 1, 2, (0, 1, 1), -8): (0, 14)
(3, 1, 2, (0, 1, 1), -7): (1, 28)
(3, 1, 2, (0, 1, 1), -6): (5, 52)
(3, 1, 2, (0, 1, 1), -5): (17, 88)
(3, 1, 2, (0, 1, 1), -4): (37, 203)
(3, 1, 2, (0, 1, 1), -3): (92, 352)
(3, 1, 2, (0, 1, 1), -2): (230, 580)
(3, 1, 2, (0, 1, 1), -1): (455, 952)
(3, 1, 2, (0, 1, 1), 0): (897, 1510)
(3, 1, 2, (0, 1, 1), 1): (948, 1277)
(3, 1, 2, (0, 1, 1), 2): (782, 975)
(3, 1, 2, (0, 1, 1), 3): (530, 600)
(3, 1, 2, (0, 1, 1), 4): (411, 436)
(3, 1, 2, (0, 1, 1), 5): (250, 264)
(3, 1, 2, (0, 1, 1), 6): (132, 141)
(3, 1, 2, (0, 1, 1), 7): (90, 91)
(3, 1, 2, (0, 1, 1), 8): (42, 43)
(3, 1, 2, (0, 1, 1), 9): (23, 24)
(3, 1, 2, (0, 1, 1), 10): (15, 15)
(3, 1, 2, (0, 1, 1), 11): (7, 7)
(3, 1, 2, (0, 1, 1), 12): (3, 3)
(3, 1, 2, (0, 1, 1), 13): (1, 1)
(3, 1, 2, (1, 0, 0), -18): (0, 1)
(3, 1, 2, (1, 0, 0), -15): (0, 1)
(3, 1, 2, (1, 0, 0), -14): (0, 3)
(3, 1, 2, (1, 0, 0), -13): (0, 7)
(3, 1, 2, (1, 0, 0), -12): (1, 12)
(3, 1, 2, (1, 0, 0), -11): (1, 21)
(3, 1, 2, (1, 0, 0), -10): (1, 39)
(3, 1, 2, (1, 0, 0), -9): (1, 69)
(3, 1, 2, (1, 0, 0), -8): (2, 136)
(3, 1, 2, (1, 0, 0), -7): (13, 312)
(3, 1, 2, (1, 0, 0), -6): (34, 601)
(3, 1, 2, (1, 0, 0), -5): (94, 1119)
(3, 1, 2, (1, 0, 0), -4): (275, 1954)
(3, 1, 2, (1, 0, 0), -3): (746, 3360)
(3, 1, 2, (1, 0, 0), -2): (1652, 5317)
(3, 1, 2, (1, 0, 0), -1): (3563, 8339)
(3, 1, 2, (1, 0, 0), 0): (7988, 14415)
(3, 1, 2, (1, 0, 0), 1): (6222, 9152)
(3, 1, 2, (1, 0, 0), 2): (4700, 5945)
(3, 1, 2, (1, 0, 0), 3): (3260, 3831)
(3, 1, 2, (1, 0, 0), 4): (2069, 2262)
(3, 1, 2, (1, 0, 0), 5): (1193, 1262)
(3, 1, 2, (1, 0, 0), 6): (664, 692)
(3, 1, 2, (1, 0, 0), 7): (382, 390)
(3, 1, 2, (1, 0, 0), 8): (194, 196)
(3, 1, 2, (1, 0, 0), 9): (103, 104)
(3, 1, 2, (1, 0, 0), 10): (44, 44)
(3, 1, 2, (1, 0, 0), 11): (21, 21)
(3, 1, 2, (1, 0, 0), 12): (16, 16)
(3, 1, 2, (1, 0, 0), 13): (11, 11)
(3, 1, 2, (1, 0, 0), 14): (3, 3)
(3, 1, 2, (1, 0, 0), 15): (2, 2)
(3, 1, 2, (1, 0, 0), 16): (1, 1)
(3, 1, 2, (1, 0, 1), -12): (0, 2)
(3, 1, 2, (1, 0, 1), -11): (0, 4)
(3, 1, 2, (1, 0, 1), -10): (0, 2)
(3, 1, 2, (1, 0, 1), -9): (0, 16)
(3, 1, 2, (1, 0, 1), -8): (0, 34)
(3, 1, 2, (1, 0, 1), -7): (3, 45)
(3, 1, 2, (1, 0, 1), -6): (8, 103)
(3, 1, 2, (1, 0, 1), -5): (14, 174)
(3, 1, 2, (1, 0, 1), -4): (52, 330)
(3, 1, 2, (1, 0, 1), -3): (151, 603)
(3, 1, 2, (1, 0, 1), -2): (322, 980)
(3, 1, 2, (1, 0, 1), -1): (729, 1603)
(3, 1, 2, (1, 0, 1), 0): (1639, 2720)
(3, 1, 2, (1, 0, 1), 1): (1611, 2290)
(3, 1, 2, (1, 0, 1), 2): (1357, 1667)
(3, 1, 2, (1, 0, 1), 3): (909, 1040)
(3, 1, 2, (1, 0, 1), 4): (624, 673)
(3, 1, 2, (1, 0, 1), 5): (371, 391)
(3, 1, 2, (1, 0, 1), 6): (207, 209)
(3, 1, 2, (1, 0, 1), 7): (112, 116)
(3, 1, 2, (1, 0, 1), 8): (58, 59)
(3, 1, 2, (1, 0, 1), 9): (37, 37)
(3, 1, 2, (1, 0, 1), 10): (7, 8)
(3, 1, 2, (1, 0, 1), 11): (9, 10)
(3, 1, 2, (1, 0, 1), 12): (5, 5)
(3, 1, 2, (1, 0, 1), 13): (2, 2)
(3, 1, 2, (1, 0, 1), 14): (1, 1)
(3, 1, 2, (1, 0, 1), 16): (1, 1)
(3, 1, 2, (1, 1, 0), -13): (0, 2)
(3, 1, 2, (1, 1, 0), -12): (0, 3)
(3, 1, 2, (1, 1, 0), -11): (0, 5)
(3, 1, 2, (1, 1, 0), -10): (0, 12)
(3, 1, 2, (1, 1, 0), -9): (0, 17)
(3, 1, 2, (1, 1, 0), -8): (2, 59)
(3, 1, 2, (1, 1, 0), -7): (5, 127)
(3, 1, 2, (1, 1, 0), -6): (18, 209)
(3, 1, 2, (1, 1, 0), -5): (46, 403)
(3, 1, 2, (1, 1, 0), -4): (131, 784)
(3, 1, 2, (1, 1, 0), -3): (309, 1271)
(3, 1, 2, (1, 1, 0), -2): (711, 2102)
(3, 1, 2, (1, 1, 0), -1): (1501, 3190)
(3, 1, 2, (1, 1, 0), 0): (3243, 5511)
(3, 1, 2, (1, 1, 0), 1): (2948, 4170)
(3, 1, 2, (1, 1, 0), 2): (2331, 2893)
(3, 1, 2, (1, 1, 0), 3): (1714, 1978)
(3, 1, 2, (1, 1, 0), 4): (1184, 1283)
(3, 1, 2, (1, 1, 0), 5): (666, 709)
(3, 1, 2, (1, 1, 0), 6): (357, 362)
(3, 1, 2, (1, 1, 0), 7): (222, 226)
(3, 1, 2, (1, 1, 0), 8): (126, 129)
(3, 1, 2, (1, 1, 0), 9): (67, 67)
(3, 1, 2, (1, 1, 0), 10): (33, 33)
(3, 1, 2, (1, 1, 0), 11): (18, 19)
(3, 1, 2, (1, 1, 0), 12): (5, 5)
(3, 1, 2, (1, 1, 0), 13): (4, 4)
(3, 1, 2, (1, 1, 0), 14): (3, 3)
(3, 1, 2, (1, 1, 0), 16): (1, 1)
(3, 1, 2, (1, 1, 0), 17): (1, 1)
(3, 1, 2, (1, 1, 1), -12): (0, 2)
(3, 1, 2, (1, 1, 1), -10): (0, 3)
(3, 1, 2, (1, 1, 1), -9): (0, 6)
(3, 1, 2, (1, 1, 1), -8): (0, 12)
(3, 1, 2, (1, 1, 1), -7): (1, 30)
(3, 1, 2, (1, 1, 1), -6): (9, 60)
(3, 1, 2, (1, 1, 1), -5): (17, 89)
(3, 1, 2, (1, 1, 1), -4): (45, 233)
(3, 1, 2, (1, 1, 1), -3): (118, 397)
(3, 1, 2, (1, 1, 1), -2): (246, 607)
(3, 1, 2, (1, 1, 1), -1): (516, 1039)
(3, 1, 2, (1, 1, 1), 0): (1066, 1721)
(3, 1, 2, (1, 1, 1), 1): (1081, 1499)
(3, 1, 2, (1, 1, 1), 2): (939, 1123)
(3, 1, 2, (1, 1, 1), 3): (675, 759)
(3, 1, 2, (1, 1, 1), 4): (458, 493)
(3, 1, 2, (1, 1, 1), 5): (284, 297)
(3, 1, 2, (1, 1, 1), 6): (162, 168)
(3, 1, 2, (1, 1, 1), 7): (98, 100)
(3, 1, 2, (1, 1, 1), 8): (57, 58)
(3, 1, 2, (1, 1, 1), 9): (37, 37)
(3, 1, 2, (1, 1, 1), 10): (18, 18)
(3, 1, 2, (1, 1, 1), 11): (9, 9)
(3, 1, 2, (1, 1, 1), 12): (6, 6)
(3, 1, 2, (1, 1, 1), 13): (3, 3)
(4, 0, 0, (0, 0, 0), -18): (0, 1)
(4, 0, 0, (0, 0, 0), -17): (0, 2)
(4, 0, 0, (0, 0, 0), -16): (0, 2)
(4, 0, 0, (0, 0, 0), -15): (0, 4)
(4, 0, 0, (0, 0, 0), -14): (0, 8)
(4, 0, 0, (0, 0, 0), -13): (0, 29)
(4, 0, 0, (0, 0, 0), -12): (0, 51)
(4, 0, 0, (0, 0, 0), -11): (2, 96)
(4, 0, 0, (0, 0, 0), -10): (0, 150)
(4, 0, 0, (0, 0, 0), -9): (3, 341)
(4, 0, 0, (0, 0, 0), -8): (8, 633)
(4, 0, 0, (0, 0, 0), -7): (30, 1212)
(4, 0, 0, (0, 0, 0), -6): (93, 2358)
(4, 0, 0, (0, 0, 0), -5): (286, 4358)
(4, 0, 0, (0, 0, 0), -4): (709, 7557)
(4, 0, 0, (0, 0, 0), -3): (1872, 12152)
(4, 0, 0, (0, 0, 0), -2): (4393, 19051)
(4, 0, 0, (0, 0, 0), -1): (9926, 29067)
(4, 0, 0, (0, 0, 0), 0): (22150, 46759)
(4, 0, 0, (0, 0, 0), 1): (16873, 27811)
(4, 0, 0, (0, 0, 0), 2): (12636, 17537)
(4, 0, 0, (0, 0, 0), 3): (8603, 10660)
(4, 0, 0, (0, 0, 0), 4): (5441, 6172)
(4, 0, 0, (0, 0, 0), 5): (3093, 3380)
(4, 0, 0, (0, 0, 0), 6): (1772, 1875)
(4, 0, 0, (0, 0, 0), 7): (878, 910)
(4, 0, 0, (0, 0, 0), 8): (479, 485)
(4, 0, 0, (0, 0, 0), 9): (236, 240)
(4, 0, 0, (0, 0, 0), 10): (143, 143)
(4, 0, 0, (0, 0, 0), 11): (65, 66)
(4, 0, 0, (0, 0, 0), 12): (34, 35)
(4, 0, 0, (0, 0, 0), 13): (19, 19)
(4, 0, 0, (0, 0, 0), 14): (6, 6)
(4, 0, 0, (0, 0, 0), 15): (4, 4)
(4, 0, 0, (0, 0, 0), 16): (1, 1)
(4, 0, 0, (0, 0, 0), 18): (1, 1)
(4, 0, 0, (0, 0, 1), -10): (0, 1)
(4, 0, 0, (0, 0, 1), -9): (0, 6)
(4, 0, 0, (0, 0, 1), -8): (0, 6)
(4, 0, 0, (0, 0, 1), -7): (1, 13)
(4, 0, 0, (0, 0, 1), -6): (0, 33)
(4, 0, 0, (0, 0, 1), -5): (5, 42)
(4, 0, 0, (0, 0, 1), -4): (3, 77)
(4, 0, 0, (0, 0, 1), -3): (26, 127)
(4, 0, 0, (0, 0, 1), -2): (75, 209)
(4, 0, 0, (0, 0, 1), -1): (154, 378)
(4, 0, 0, (0, 0, 1), 0): (330, 591)
(4, 0, 0, (0, 0, 1), 1): (305, 440)
(4, 0, 0, (0, 0, 1), 2): (219, 278)
(4, 0, 0, (0, 0, 1), 3): (160, 184)
(4, 0, 0, (0, 0, 1), 4): (105, 114)
(4, 0, 0, (0, 0, 1), 5): (49, 51)
(4, 0, 0, (0, 0, 1), 6): (33, 34)
(4, 0, 0, (0, 0, 1), 7): (25, 26)
(4, 0, 0, (0, 0, 1), 8): (10, 10)
(4, 0, 0, (0, 0, 1), 9): (8, 8)
(4, 0, 0, (0, 0, 1), 10): (3, 3)
(4, 0, 0, (0, 0, 1), 11): (1, 1)
(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, 2)
(4, 0, 0, (0, 1, 0), -11): (0, 6)
(4, 0, 0, (0, 1, 0), -10): (0, 5)
(4, 0, 0, (0, 1, 0), -9): (0, 27)
(4, 0, 0, (0, 1, 0), -8): (0, 43)
(4, 0, 0, (0, 1, 0), -7): (2, 68)
(4, 0, 0, (0, 1, 0), -6): (6, 154)
(4, 0, 0, (0, 1, 0), -5): (30, 306)
(4, 0, 0, (0, 1, 0), -4): (70, 500)
(4, 0, 0, (0, 1, 0), -3): (181, 770)
(4, 0, 0, (0, 1, 0), -2): (380, 1247)
(4, 0, 0, (0, 1, 0), -1): (862, 2010)
(4, 0, 0, (0, 1, 0), 0): (1878, 3273)
(4, 0, 0, (0, 1, 0), 1): (1546, 2272)
(4, 0, 0, (0, 1, 0), 2): (1080, 1430)
(4, 0, 0, (0, 1, 0), 3): (731, 889)
(4, 0, 0, (0, 1, 0), 4): (473, 533)
(4, 0, 0, (0, 1, 0), 5): (268, 285)
(4, 0, 0, (0, 1, 0), 6): (173, 178)
(4, 0, 0, (0, 1, 0), 7): (73, 75)
(4, 0, 0, (0, 1, 0), 8): (48, 49)
(4, 0, 0, (0, 1, 0), 9): (25, 26)
(4, 0, 0, (0, 1, 0), 10): (13, 13)
(4, 0, 0, (0, 1, 0), 11): (11, 12)
(4, 0, 0, (0, 1, 0), 12): (4, 4)
(4, 0, 0, (0, 1, 0), 13): (1, 1)
(4, 0, 0, (0, 1, 0), 16): (1, 1)
(4, 0, 0, (0, 1, 1), -11): (0, 1)
(4, 0, 0, (0, 1, 1), -10): (0, 2)
(4, 0, 0, (0, 1, 1), -9): (0, 4)
(4, 0, 0, (0, 1, 1), -8): (0, 6)
(4, 0, 0, (0, 1, 1), -7): (0, 16)
(4, 0, 0, (0, 1, 1), -6): (3, 27)
(4, 0, 0, (0, 1, 1), -5): (4, 49)
(4, 0, 0, (0, 1, 1), -4): (19, 106)
(4, 0, 0, (0, 1, 1), -3): (39, 158)
(4, 0, 0, (0, 1, 1), -2): (90, 264)
(4, 0, 0, (0, 1, 1), -1): (199, 404)
(4, 0, 0, (0, 1, 1), 0): (399, 607)
(4, 0, 0, (0, 1, 1), 1): (370, 485)
(4, 0, 0, (0, 1, 1), 2): (268, 321)
(4, 0, 0, (0, 1, 1), 3): (168, 190)
(4, 0, 0, (0, 1, 1), 4): (121, 125)
(4, 0, 0, (0, 1, 1), 5): (71, 77)
(4, 0, 0, (0, 1, 1), 6): (45, 47)
(4, 0, 0, (0, 1, 1), 7): (29, 29)
(4, 0, 0, (0, 1, 1), 8): (11, 11)
(4, 0, 0, (0, 1, 1), 9): (5, 5)
(4, 0, 0, (0, 1, 1), 10): (3, 3)
(4, 0, 0, (0, 1, 1), 11): (1, 1)
(4, 0, 0, (0, 1, 1), 12): (3, 3)
(4, 0, 0, (0, 1, 1), 13): (1, 1)
(4, 0, 0, (1, 0, 0), -18): (0, 1)
(4, 0, 0, (1, 0, 0), -16): (0, 1)
(4, 0, 0, (1, 0, 0), -14): (0, 2)
(4, 0, 0, (1, 0, 0), -13): (0, 5)
(4, 0, 0, (1, 0, 0), -12): (0, 18)
(4, 0, 0, (1, 0, 0), -11): (2, 18)
(4, 0, 0, (1, 0, 0), -10): (0, 33)
(4, 0, 0, (1, 0, 0), -9): (0, 69)
(4, 0, 0, (1, 0, 0), -8): (3, 161)
(4, 0, 0, (1, 0, 0), -7): (4, 314)
(4, 0, 0, (1, 0, 0), -6): (40, 608)
(4, 0, 0, (1, 0, 0), -5): (89, 1143)
(4, 0, 0, (1, 0, 0), -4): (234, 1960)
(4, 0, 0, (1, 0, 0), -3): (594, 3099)
(4, 0, 0, (1, 0, 0), -2): (1324, 4928)
(4, 0, 0, (1, 0, 0), -1): (2924, 7516)
(4, 0, 0, (1, 0, 0), 0): (6299, 12076)
(4, 0, 0, (1, 0, 0), 1): (4648, 7183)
(4, 0, 0, (1, 0, 0), 2): (3479, 4655)
(4, 0, 0, (1, 0, 0), 3): (2276, 2759)
(4, 0, 0, (1, 0, 0), 4): (1468, 1620)
(4, 0, 0, (1, 0, 0), 5): (798, 876)
(4, 0, 0, (1, 0, 0), 6): (486, 510)
(4, 0, 0, (1, 0, 0), 7): (240, 249)
(4, 0, 0, (1, 0, 0), 8): (175, 177)
(4, 0, 0, (1, 0, 0), 9): (73, 74)
(4, 0, 0, (1, 0, 0), 10): (41, 41)
(4, 0, 0, (1, 0, 0), 11): (13, 13)
(4, 0, 0, (1, 0, 0), 12): (7, 7)
(4, 0, 0, (1, 0, 0), 13): (6, 6)
(4, 0, 0, (1, 0, 0), 14): (1, 1)
(4, 0, 0, (1, 0, 0), 15): (2, 2)
(4, 0, 0, (1, 0, 1), -11): (0, 5)
(4, 0, 0, (1, 0, 1), -10): (0, 2)
(4, 0, 0, (1, 0, 1), -9): (0, 4)
(4, 0, 0, (1, 0, 1), -8): (1, 14)
(4, 0, 0, (1, 0, 1), -7): (1, 27)
(4, 0, 0, (1, 0, 1), -6): (3, 51)
(4, 0, 0, (1, 0, 1), -5): (15, 87)
(4, 0, 0, (1, 0, 1), -4): (23, 172)
(4, 0, 0, (1, 0, 1), -3): (69, 254)
(4, 0, 0, (1, 0, 1), -2): (155, 431)
(4, 0, 0, (1, 0, 1), -1): (324, 680)
(4, 0, 0, (1, 0, 1), 0): (676, 1076)
(4, 0, 0, (1, 0, 1), 1): (581, 819)
(4, 0, 0, (1, 0, 1), 2): (350, 446)
(4, 0, 0, (1, 0, 1), 3): (275, 321)
(4, 0, 0, (1, 0, 1), 4): (160, 169)
(4, 0, 0, (1, 0, 1), 5): (99, 103)
(4, 0, 0, (1, 0, 1), 6): (53, 54)
(4, 0, 0, (1, 0, 1), 7): (34, 34)
(4, 0, 0, (1, 0, 1), 8): (19, 20)
(4, 0, 0, (1, 0, 1), 9): (14, 14)
(4, 0, 0, (1, 0, 1), 10): (6, 6)
(4, 0, 0, (1, 0, 1), 11): (3, 3)
(4, 0, 0, (1, 0, 1), 14): (1, 1)
(4, 0, 0, (1, 0, 1), 16): (1, 1)
(4, 0, 0, (1, 1, 0), -18): (0, 1)
(4, 0, 0, (1, 1, 0), -13): (0, 2)
(4, 0, 0, (1, 1, 0), -12): (0, 2)
(4, 0, 0, (1, 1, 0), -11): (0, 5)
(4, 0, 0, (1, 1, 0), -10): (0, 13)
(4, 0, 0, (1, 1, 0), -9): (0, 19)
(4, 0, 0, (1, 1, 0), -8): (1, 46)
(4, 0, 0, (1, 1, 0), -7): (1, 79)
(4, 0, 0, (1, 1, 0), -6): (10, 141)
(4, 0, 0, (1, 1, 0), -5): (25, 269)
(4, 0, 0, (1, 1, 0), -4): (70, 484)
(4, 0, 0, (1, 1, 0), -3): (185, 746)
(4, 0, 0, (1, 1, 0), -2): (390, 1097)
(4, 0, 0, (1, 1, 0), -1): (728, 1595)
(4, 0, 0, (1, 1, 0), 0): (1504, 2517)
(4, 0, 0, (1, 1, 0), 1): (1230, 1735)
(4, 0, 0, (1, 1, 0), 2): (852, 1077)
(4, 0, 0, (1, 1, 0), 3): (540, 631)
(4, 0, 0, (1, 1, 0), 4): (377, 413)
(4, 0, 0, (1, 1, 0), 5): (226, 238)
(4, 0, 0, (1, 1, 0), 6): (135, 136)
(4, 0, 0, (1, 1, 0), 7): (62, 66)
(4, 0, 0, (1, 1, 0), 8): (47, 47)
(4, 0, 0, (1, 1, 0), 9): (25, 25)
(4, 0, 0, (1, 1, 0), 10): (11, 11)
(4, 0, 0, (1, 1, 0), 11): (10, 10)
(4, 0, 0, (1, 1, 0), 12): (2, 2)
(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, 3)
(4, 0, 0, (1, 1, 1), -9): (0, 5)
(4, 0, 0, (1, 1, 1), -8): (1, 8)
(4, 0, 0, (1, 1, 1), -7): (0, 21)
(4, 0, 0, (1, 1, 1), -6): (4, 29)
(4, 0, 0, (1, 1, 1), -5): (8, 43)
(4, 0, 0, (1, 1, 1), -4): (26, 109)
(4, 0, 0, (1, 1, 1), -3): (61, 163)
(4, 0, 0, (1, 1, 1), -2): (99, 239)
(4, 0, 0, (1, 1, 1), -1): (198, 356)
(4, 0, 0, (1, 1, 1), 0): (380, 544)
(4, 0, 0, (1, 1, 1), 1): (354, 444)
(4, 0, 0, (1, 1, 1), 2): (253, 291)
(4, 0, 0, (1, 1, 1), 3): (192, 204)
(4, 0, 0, (1, 1, 1), 4): (119, 125)
(4, 0, 0, (1, 1, 1), 5): (90, 91)
(4, 0, 0, (1, 1, 1), 6): (44, 45)
(4, 0, 0, (1, 1, 1), 7): (29, 29)
(4, 0, 0, (1, 1, 1), 8): (18, 18)
(4, 0, 0, (1, 1, 1), 9): (5, 5)
(4, 0, 0, (1, 1, 1), 10): (3, 3)
(4, 0, 0, (1, 1, 1), 11): (1, 1)
(4, 0, 0, (1, 1, 1), 14): (1, 1)
(4, 0, 1, (0, 0, 0), -17): (0, 2)
(4, 0, 1, (0, 0, 0), -16): (0, 1)
(4, 0, 1, (0, 0, 0), -15): (0, 4)
(4, 0, 1, (0, 0, 0), -14): (0, 4)
(4, 0, 1, (0, 0, 0), -13): (0, 21)
(4, 0, 1, (0, 0, 0), -12): (0, 32)
(4, 0, 1, (0, 0, 0), -11): (0, 74)
(4, 0, 1, (0, 0, 0), -10): (0, 110)
(4, 0, 1, (0, 0, 0), -9): (3, 243)
(4, 0, 1, (0, 0, 0), -8): (4, 425)
(4, 0, 1, (0, 0, 0), -7): (23, 832)
(4, 0, 1, (0, 0, 0), -6): (46, 1569)
(4, 0, 1, (0, 0, 0), -5): (158, 2901)
(4, 0, 1, (0, 0, 0), -4): (407, 5100)
(4, 0, 1, (0, 0, 0), -3): (1087, 8349)
(4, 0, 1, (0, 0, 0), -2): (2652, 13057)
(4, 0, 1, (0, 0, 0), -1): (6166, 20009)
(4, 0, 1, (0, 0, 0), 0): (14253, 32281)
(4, 0, 1, (0, 0, 0), 1): (11657, 20094)
(4, 0, 1, (0, 0, 0), 2): (9182, 13043)
(4, 0, 1, (0, 0, 0), 3): (6400, 8070)
(4, 0, 1, (0, 0, 0), 4): (4127, 4749)
(4, 0, 1, (0, 0, 0), 5): (2380, 2609)
(4, 0, 1, (0, 0, 0), 6): (1356, 1449)
(4, 0, 1, (0, 0, 0), 7): (745, 770)
(4, 0, 1, (0, 0, 0), 8): (389, 395)
(4, 0, 1, (0, 0, 0), 9): (197, 200)
(4, 0, 1, (0, 0, 0), 10): (129, 129)
(4, 0, 1, (0, 0, 0), 11): (56, 56)
(4, 0, 1, (0, 0, 0), 12): (30, 31)
(4, 0, 1, (0, 0, 0), 13): (16, 16)
(4, 0, 1, (0, 0, 0), 14): (5, 5)
(4, 0, 1, (0, 0, 0), 15): (3, 3)
(4, 0, 1, (0, 0, 0), 16): (1, 1)
(4, 0, 1, (0, 0, 0), 18): (1, 1)
(4, 0, 1, (0, 0, 0), 19): (1, 1)
(4, 0, 1, (0, 0, 0), 23): (1, 1)
(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, 2)
(4, 0, 1, (0, 0, 1), -10): (0, 4)
(4, 0, 1, (0, 0, 1), -9): (0, 9)
(4, 0, 1, (0, 0, 1), -8): (0, 12)
(4, 0, 1, (0, 0, 1), -7): (0, 30)
(4, 0, 1, (0, 0, 1), -6): (3, 59)
(4, 0, 1, (0, 0, 1), -5): (10, 123)
(4, 0, 1, (0, 0, 1), -4): (23, 224)
(4, 0, 1, (0, 0, 1), -3): (76, 363)
(4, 0, 1, (0, 0, 1), -2): (152, 605)
(4, 0, 1, (0, 0, 1), -1): (464, 1093)
(4, 0, 1, (0, 0, 1), 0): (988, 1807)
(4, 0, 1, (0, 0, 1), 1): (962, 1437)
(4, 0, 1, (0, 0, 1), 2): (848, 1077)
(4, 0, 1, (0, 0, 1), 3): (596, 715)
(4, 0, 1, (0, 0, 1), 4): (381, 431)
(4, 0, 1, (0, 0, 1), 5): (204, 219)
(4, 0, 1, (0, 0, 1), 6): (127, 131)
(4, 0, 1, (0, 0, 1), 7): (74, 75)
(4, 0, 1, (0, 0, 1), 8): (50, 50)
(4, 0, 1, (0, 0, 1), 9): (16, 16)
(4, 0, 1, (0, 0, 1), 10): (10, 10)
(4, 0, 1, (0, 0, 1), 11): (11, 11)
(4, 0, 1, (0, 0, 1), 12): (3, 3)
(4, 0, 1, (0, 0, 1), 14): (1, 1)
(4, 0, 1, (0, 1, 0), -16): (0, 1)
(4, 0, 1, (0, 1, 0), -15): (0, 1)
(4, 0, 1, (0, 1, 0), -14): (0, 1)
(4, 0, 1, (0, 1, 0), -13): (0, 4)
(4, 0, 1, (0, 1, 0), -12): (0, 4)
(4, 0, 1, (0, 1, 0), -11): (0, 13)
(4, 0, 1, (0, 1, 0), -10): (0, 15)
(4, 0, 1, (0, 1, 0), -9): (0, 27)
(4, 0, 1, (0, 1, 0), -8): (0, 49)
(4, 0, 1, (0, 1, 0), -7): (3, 101)
(4, 0, 1, (0, 1, 0), -6): (6, 226)
(4, 0, 1, (0, 1, 0), -5): (30, 395)
(4, 0, 1, (0, 1, 0), -4): (65, 628)
(4, 0, 1, (0, 1, 0), -3): (190, 1170)
(4, 0, 1, (0, 1, 0), -2): (463, 1877)
(4, 0, 1, (0, 1, 0), -1): (1215, 3146)
(4, 0, 1, (0, 1, 0), 0): (2760, 5376)
(4, 0, 1, (0, 1, 0), 1): (2452, 3901)
(4, 0, 1, (0, 1, 0), 2): (2096, 2864)
(4, 0, 1, (0, 1, 0), 3): (1518, 1857)
(4, 0, 1, (0, 1, 0), 4): (989, 1129)
(4, 0, 1, (0, 1, 0), 5): (636, 696)
(4, 0, 1, (0, 1, 0), 6): (331, 355)
(4, 0, 1, (0, 1, 0), 7): (160, 168)
(4, 0, 1, (0, 1, 0), 8): (103, 105)
(4, 0, 1, (0, 1, 0), 9): (57, 60)
(4, 0, 1, (0, 1, 0), 10): (33, 33)
(4, 0, 1, (0, 1, 0), 11): (17, 19)
(4, 0, 1, (0, 1, 0), 12): (4, 4)
(4, 0, 1, (0, 1, 0), 13): (3, 3)
(4, 0, 1, (0, 1, 0), 14): (2, 2)
(4, 0, 1, (0, 1, 1), -12): (0, 2)
(4, 0, 1, (0, 1, 1), -11): (0, 3)
(4, 0, 1, (0, 1, 1), -10): (0, 6)
(4, 0, 1, (0, 1, 1), -9): (0, 3)
(4, 0, 1, (0, 1, 1), -8): (0, 12)
(4, 0, 1, (0, 1, 1), -7): (2, 36)
(4, 0, 1, (0, 1, 1), -6): (2, 50)
(4, 0, 1, (0, 1, 1), -5): (6, 91)
(4, 0, 1, (0, 1, 1), -4): (27, 199)
(4, 0, 1, (0, 1, 1), -3): (69, 298)
(4, 0, 1, (0, 1, 1), -2): (170, 571)
(4, 0, 1, (0, 1, 1), -1): (375, 834)
(4, 0, 1, (0, 1, 1), 0): (771, 1394)
(4, 0, 1, (0, 1, 1), 1): (884, 1233)
(4, 0, 1, (0, 1, 1), 2): (692, 861)
(4, 0, 1, (0, 1, 1), 3): (493, 587)
(4, 0, 1, (0, 1, 1), 4): (380, 410)
(4, 0, 1, (0, 1, 1), 5): (204, 217)
(4, 0, 1, (0, 1, 1), 6): (115, 121)
(4, 0, 1, (0, 1, 1), 7): (63, 64)
(4, 0, 1, (0, 1, 1), 8): (50, 50)
(4, 0, 1, (0, 1, 1), 9): (21, 23)
(4, 0, 1, (0, 1, 1), 10): (10, 10)
(4, 0, 1, (0, 1, 1), 11): (6, 6)
(4, 0, 1, (0, 1, 1), 12): (5, 5)
(4, 0, 1, (0, 1, 1), 14): (1, 1)
(4, 0, 1, (0, 1, 1), 18): (1, 1)
(4, 0, 1, (0, 1, 1), 20): (1, 1)
(4, 0, 1, (1, 0, 0), -14): (0, 2)
(4, 0, 1, (1, 0, 0), -13): (0, 10)
(4, 0, 1, (1, 0, 0), -12): (0, 21)
(4, 0, 1, (1, 0, 0), -11): (2, 28)
(4, 0, 1, (1, 0, 0), -10): (0, 33)
(4, 0, 1, (1, 0, 0), -9): (1, 94)
(4, 0, 1, (1, 0, 0), -8): (1, 177)
(4, 0, 1, (1, 0, 0), -7): (10, 365)
(4, 0, 1, (1, 0, 0), -6): (28, 685)
(4, 0, 1, (1, 0, 0), -5): (85, 1286)
(4, 0, 1, (1, 0, 0), -4): (223, 2241)
(4, 0, 1, (1, 0, 0), -3): (560, 3547)
(4, 0, 1, (1, 0, 0), -2): (1303, 5619)
(4, 0, 1, (1, 0, 0), -1): (2904, 8418)
(4, 0, 1, (1, 0, 0), 0): (6298, 13290)
(4, 0, 1, (1, 0, 0), 1): (5254, 8641)
(4, 0, 1, (1, 0, 0), 2): (4080, 5606)
(4, 0, 1, (1, 0, 0), 3): (2831, 3476)
(4, 0, 1, (1, 0, 0), 4): (1902, 2159)
(4, 0, 1, (1, 0, 0), 5): (1064, 1176)
(4, 0, 1, (1, 0, 0), 6): (673, 708)
(4, 0, 1, (1, 0, 0), 7): (368, 381)
(4, 0, 1, (1, 0, 0), 8): (210, 214)
(4, 0, 1, (1, 0, 0), 9): (99, 101)
(4, 0, 1, (1, 0, 0), 10): (58, 58)
(4, 0, 1, (1, 0, 0), 11): (19, 19)
(4, 0, 1, (1, 0, 0), 12): (15, 15)
(4, 0, 1, (1, 0, 0), 13): (6, 6)
(4, 0, 1, (1, 0, 0), 14): (1, 1)
(4, 0, 1, (1, 0, 0), 15): (4, 4)
(4, 0, 1, (1, 0, 1), -18): (0, 1)
(4, 0, 1, (1, 0, 1), -12): (0, 2)
(4, 0, 1, (1, 0, 1), -11): (0, 5)
(4, 0, 1, (1, 0, 1), -10): (0, 2)
(4, 0, 1, (1, 0, 1), -9): (0, 7)
(4, 0, 1, (1, 0, 1), -8): (0, 20)
(4, 0, 1, (1, 0, 1), -7): (2, 46)
(4, 0, 1, (1, 0, 1), -6): (3, 76)
(4, 0, 1, (1, 0, 1), -5): (17, 155)
(4, 0, 1, (1, 0, 1), -4): (42, 297)
(4, 0, 1, (1, 0, 1), -3): (97, 453)
(4, 0, 1, (1, 0, 1), -2): (226, 780)
(4, 0, 1, (1, 0, 1), -1): (574, 1251)
(4, 0, 1, (1, 0, 1), 0): (1120, 1955)
(4, 0, 1, (1, 0, 1), 1): (1055, 1529)
(4, 0, 1, (1, 0, 1), 2): (840, 1089)
(4, 0, 1, (1, 0, 1), 3): (587, 703)
(4, 0, 1, (1, 0, 1), 4): (428, 470)
(4, 0, 1, (1, 0, 1), 5): (287, 306)
(4, 0, 1, (1, 0, 1), 6): (164, 169)
(4, 0, 1, (1, 0, 1), 7): (105, 107)
(4, 0, 1, (1, 0, 1), 8): (45, 49)
(4, 0, 1, (1, 0, 1), 9): (28, 28)
(4, 0, 1, (1, 0, 1), 10): (16, 16)
(4, 0, 1, (1, 0, 1), 11): (6, 6)
(4, 0, 1, (1, 0, 1), 12): (4, 4)
(4, 0, 1, (1, 0, 1), 13): (1, 1)
(4, 0, 1, (1, 0, 1), 14): (1, 1)
(4, 0, 1, (1, 0, 1), 15): (1, 1)
(4, 0, 1, (1, 0, 1), 16): (1, 1)
(4, 0, 1, (1, 0, 1), 17): (1, 1)
(4, 0, 1, (1, 1, 0), -14): (0, 2)
(4, 0, 1, (1, 1, 0), -13): (0, 5)
(4, 0, 1, (1, 1, 0), -12): (0, 8)
(4, 0, 1, (1, 1, 0), -11): (0, 9)
(4, 0, 1, (1, 1, 0), -10): (0, 18)
(4, 0, 1, (1, 1, 0), -9): (1, 29)
(4, 0, 1, (1, 1, 0), -8): (1, 61)
(4, 0, 1, (1, 1, 0), -7): (1, 112)
(4, 0, 1, (1, 1, 0), -6): (18, 249)
(4, 0, 1, (1, 1, 0), -5): (33, 409)
(4, 0, 1, (1, 1, 0), -4): (76, 754)
(4, 0, 1, (1, 1, 0), -3): (248, 1216)
(4, 0, 1, (1, 1, 0), -2): (497, 1742)
(4, 0, 1, (1, 1, 0), -1): (1020, 2576)
(4, 0, 1, (1, 1, 0), 0): (2099, 4029)
(4, 0, 1, (1, 1, 0), 1): (1959, 3018)
(4, 0, 1, (1, 1, 0), 2): (1542, 2039)
(4, 0, 1, (1, 1, 0), 3): (1032, 1236)
(4, 0, 1, (1, 1, 0), 4): (691, 773)
(4, 0, 1, (1, 1, 0), 5): (473, 516)
(4, 0, 1, (1, 1, 0), 6): (305, 314)
(4, 0, 1, (1, 1, 0), 7): (153, 159)
(4, 0, 1, (1, 1, 0), 8): (114, 115)
(4, 0, 1, (1, 1, 0), 9): (56, 57)
(4, 0, 1, (1, 1, 0), 10): (24, 24)
(4, 0, 1, (1, 1, 0), 11): (14, 14)
(4, 0, 1, (1, 1, 0), 12): (6, 6)
(4, 0, 1, (1, 1, 0), 13): (4, 4)
(4, 0, 1, (1, 1, 0), 15): (1, 1)
(4, 0, 1, (1, 1, 0), 16): (2, 2)
(4, 0, 1, (1, 1, 1), -14): (0, 1)
(4, 0, 1, (1, 1, 1), -13): (0, 1)
(4, 0, 1, (1, 1, 1), -11): (0, 3)
(4, 0, 1, (1, 1, 1), -10): (0, 8)
(4, 0, 1, (1, 1, 1), -9): (0, 3)
(4, 0, 1, (1, 1, 1), -8): (0, 11)
(4, 0, 1, (1, 1, 1), -7): (1, 32)
(4, 0, 1, (1, 1, 1), -6): (12, 78)
(4, 0, 1, (1, 1, 1), -5): (19, 97)
(4, 0, 1, (1, 1, 1), -4): (29, 188)
(4, 0, 1, (1, 1, 1), -3): (75, 312)
(4, 0, 1, (1, 1, 1), -2): (156, 454)
(4, 0, 1, (1, 1, 1), -1): (364, 764)
(4, 0, 1, (1, 1, 1), 0): (697, 1232)
(4, 0, 1, (1, 1, 1), 1): (801, 1114)
(4, 0, 1, (1, 1, 1), 2): (698, 838)
(4, 0, 1, (1, 1, 1), 3): (507, 583)
(4, 0, 1, (1, 1, 1), 4): (297, 328)
(4, 0, 1, (1, 1, 1), 5): (238, 248)
(4, 0, 1, (1, 1, 1), 6): (123, 129)
(4, 0, 1, (1, 1, 1), 7): (76, 78)
(4, 0, 1, (1, 1, 1), 8): (42, 42)
(4, 0, 1, (1, 1, 1), 9): (23, 25)
(4, 0, 1, (1, 1, 1), 10): (7, 8)
(4, 0, 1, (1, 1, 1), 13): (1, 1)
(4, 0, 1, (1, 1, 1), 14): (1, 1)
(4, 0, 1, (1, 1, 1), 18): (1, 1)
(4, 0, 2, (0, 0, 0), -17): (0, 2)
(4, 0, 2, (0, 0, 0), -16): (0, 1)
(4, 0, 2, (0, 0, 0), -15): (0, 4)
(4, 0, 2, (0, 0, 0), -14): (0, 2)
(4, 0, 2, (0, 0, 0), -13): (0, 11)
(4, 0, 2, (0, 0, 0), -12): (0, 23)
(4, 0, 2, (0, 0, 0), -11): (0, 46)
(4, 0, 2, (0, 0, 0), -10): (0, 79)
(4, 0, 2, (0, 0, 0), -9): (2, 180)
(4, 0, 2, (0, 0, 0), -8): (4, 317)
(4, 0, 2, (0, 0, 0), -7): (14, 598)
(4, 0, 2, (0, 0, 0), -6): (29, 1174)
(4, 0, 2, (0, 0, 0), -5): (92, 2180)
(4, 0, 2, (0, 0, 0), -4): (260, 3807)
(4, 0, 2, (0, 0, 0), -3): (725, 6253)
(4, 0, 2, (0, 0, 0), -2): (1839, 9867)
(4, 0, 2, (0, 0, 0), -1): (4274, 15187)
(4, 0, 2, (0, 0, 0), 0): (10179, 24481)
(4, 0, 2, (0, 0, 0), 1): (9176, 16298)
(4, 0, 2, (0, 0, 0), 2): (7620, 11056)
(4, 0, 2, (0, 0, 0), 3): (5468, 6963)
(4, 0, 2, (0, 0, 0), 4): (3598, 4175)
(4, 0, 2, (0, 0, 0), 5): (2131, 2337)
(4, 0, 2, (0, 0, 0), 6): (1227, 1315)
(4, 0, 2, (0, 0, 0), 7): (731, 758)
(4, 0, 2, (0, 0, 0), 8): (427, 435)
(4, 0, 2, (0, 0, 0), 9): (238, 240)
(4, 0, 2, (0, 0, 0), 10): (143, 143)
(4, 0, 2, (0, 0, 0), 11): (60, 61)
(4, 0, 2, (0, 0, 0), 12): (38, 39)
(4, 0, 2, (0, 0, 0), 13): (26, 26)
(4, 0, 2, (0, 0, 0), 14): (7, 7)
(4, 0, 2, (0, 0, 0), 15): (2, 2)
(4, 0, 2, (0, 0, 0), 16): (1, 1)
(4, 0, 2, (0, 0, 0), 19): (1, 1)
(4, 0, 2, (0, 0, 0), 23): (1, 1)
(4, 0, 2, (0, 0, 1), -15): (0, 1)
(4, 0, 2, (0, 0, 1), -13): (0, 1)
(4, 0, 2, (0, 0, 1), -12): (0, 2)
(4, 0, 2, (0, 0, 1), -11): (0, 4)
(4, 0, 2, (0, 0, 1), -10): (0, 9)
(4, 0, 2, (0, 0, 1), -9): (0, 17)
(4, 0, 2, (0, 0, 1), -8): (0, 27)
(4, 0, 2, (0, 0, 1), -7): (1, 42)
(4, 0, 2, (0, 0, 1), -6): (2, 101)
(4, 0, 2, (0, 0, 1), -5): (10, 188)
(4, 0, 2, (0, 0, 1), -4): (32, 307)
(4, 0, 2, (0, 0, 1), -3): (72, 530)
(4, 0, 2, (0, 0, 1), -2): (175, 884)
(4, 0, 2, (0, 0, 1), -1): (469, 1469)
(4, 0, 2, (0, 0, 1), 0): (1178, 2517)
(4, 0, 2, (0, 0, 1), 1): (1244, 2078)
(4, 0, 2, (0, 0, 1), 2): (1085, 1545)
(4, 0, 2, (0, 0, 1), 3): (838, 1040)
(4, 0, 2, (0, 0, 1), 4): (616, 700)
(4, 0, 2, (0, 0, 1), 5): (351, 390)
(4, 0, 2, (0, 0, 1), 6): (234, 249)
(4, 0, 2, (0, 0, 1), 7): (136, 142)
(4, 0, 2, (0, 0, 1), 8): (82, 82)
(4, 0, 2, (0, 0, 1), 9): (44, 45)
(4, 0, 2, (0, 0, 1), 10): (26, 26)
(4, 0, 2, (0, 0, 1), 11): (14, 14)
(4, 0, 2, (0, 0, 1), 12): (4, 4)
(4, 0, 2, (0, 0, 1), 13): (3, 3)
(4, 0, 2, (0, 0, 1), 14): (1, 1)
(4, 0, 2, (0, 0, 1), 15): (1, 1)
(4, 0, 2, (0, 1, 0), -14): (0, 1)
(4, 0, 2, (0, 1, 0), -13): (0, 3)
(4, 0, 2, (0, 1, 0), -12): (0, 5)
(4, 0, 2, (0, 1, 0), -11): (0, 12)
(4, 0, 2, (0, 1, 0), -10): (0, 18)
(4, 0, 2, (0, 1, 0), -9): (0, 31)
(4, 0, 2, (0, 1, 0), -8): (0, 57)
(4, 0, 2, (0, 1, 0), -7): (1, 115)
(4, 0, 2, (0, 1, 0), -6): (4, 257)
(4, 0, 2, (0, 1, 0), -5): (32, 464)
(4, 0, 2, (0, 1, 0), -4): (64, 767)
(4, 0, 2, (0, 1, 0), -3): (185, 1355)
(4, 0, 2, (0, 1, 0), -2): (450, 2184)
(4, 0, 2, (0, 1, 0), -1): (1153, 3640)
(4, 0, 2, (0, 1, 0), 0): (2866, 6159)
(4, 0, 2, (0, 1, 0), 1): (2930, 4980)
(4, 0, 2, (0, 1, 0), 2): (2723, 3807)
(4, 0, 2, (0, 1, 0), 3): (2175, 2681)
(4, 0, 2, (0, 1, 0), 4): (1551, 1769)
(4, 0, 2, (0, 1, 0), 5): (1013, 1111)
(4, 0, 2, (0, 1, 0), 6): (563, 603)
(4, 0, 2, (0, 1, 0), 7): (268, 276)
(4, 0, 2, (0, 1, 0), 8): (178, 182)
(4, 0, 2, (0, 1, 0), 9): (107, 109)
(4, 0, 2, (0, 1, 0), 10): (47, 47)
(4, 0, 2, (0, 1, 0), 11): (28, 29)
(4, 0, 2, (0, 1, 0), 12): (15, 15)
(4, 0, 2, (0, 1, 0), 13): (9, 9)
(4, 0, 2, (0, 1, 0), 14): (3, 3)
(4, 0, 2, (0, 1, 0), 15): (1, 1)
(4, 0, 2, (0, 1, 1), -13): (0, 2)
(4, 0, 2, (0, 1, 1), -12): (0, 2)
(4, 0, 2, (0, 1, 1), -11): (1, 5)
(4, 0, 2, (0, 1, 1), -10): (0, 7)
(4, 0, 2, (0, 1, 1), -9): (0, 6)
(4, 0, 2, (0, 1, 1), -8): (1, 21)
(4, 0, 2, (0, 1, 1), -7): (1, 29)
(4, 0, 2, (0, 1, 1), -6): (3, 73)
(4, 0, 2, (0, 1, 1), -5): (11, 110)
(4, 0, 2, (0, 1, 1), -4): (24, 222)
(4, 0, 2, (0, 1, 1), -3): (47, 328)
(4, 0, 2, (0, 1, 1), -2): (140, 559)
(4, 0, 2, (0, 1, 1), -1): (337, 883)
(4, 0, 2, (0, 1, 1), 0): (688, 1382)
(4, 0, 2, (0, 1, 1), 1): (815, 1306)
(4, 0, 2, (0, 1, 1), 2): (734, 974)
(4, 0, 2, (0, 1, 1), 3): (596, 750)
(4, 0, 2, (0, 1, 1), 4): (398, 461)
(4, 0, 2, (0, 1, 1), 5): (255, 276)
(4, 0, 2, (0, 1, 1), 6): (148, 161)
(4, 0, 2, (0, 1, 1), 7): (87, 92)
(4, 0, 2, (0, 1, 1), 8): (47, 48)
(4, 0, 2, (0, 1, 1), 9): (31, 31)
(4, 0, 2, (0, 1, 1), 10): (17, 17)
(4, 0, 2, (0, 1, 1), 11): (7, 7)
(4, 0, 2, (0, 1, 1), 12): (7, 7)
(4, 0, 2, (0, 1, 1), 13): (2, 2)
(4, 0, 2, (1, 0, 0), -17): (0, 1)
(4, 0, 2, (1, 0, 0), -15): (0, 1)
(4, 0, 2, (1, 0, 0), -13): (0, 7)
(4, 0, 2, (1, 0, 0), -12): (0, 12)
(4, 0, 2, (1, 0, 0), -11): (2, 20)
(4, 0, 2, (1, 0, 0), -10): (0, 34)
(4, 0, 2, (1, 0, 0), -9): (1, 93)
(4, 0, 2, (1, 0, 0), -8): (2, 172)
(4, 0, 2, (1, 0, 0), -7): (9, 318)
(4, 0, 2, (1, 0, 0), -6): (22, 647)
(4, 0, 2, (1, 0, 0), -5): (56, 1157)
(4, 0, 2, (1, 0, 0), -4): (146, 2052)
(4, 0, 2, (1, 0, 0), -3): (416, 3320)
(4, 0, 2, (1, 0, 0), -2): (1048, 5142)
(4, 0, 2, (1, 0, 0), -1): (2380, 7819)
(4, 0, 2, (1, 0, 0), 0): (5398, 12169)
(4, 0, 2, (1, 0, 0), 1): (5065, 8716)
(4, 0, 2, (1, 0, 0), 2): (4200, 5981)
(4, 0, 2, (1, 0, 0), 3): (3145, 3952)
(4, 0, 2, (1, 0, 0), 4): (2194, 2502)
(4, 0, 2, (1, 0, 0), 5): (1377, 1511)
(4, 0, 2, (1, 0, 0), 6): (913, 972)
(4, 0, 2, (1, 0, 0), 7): (505, 521)
(4, 0, 2, (1, 0, 0), 8): (284, 290)
(4, 0, 2, (1, 0, 0), 9): (149, 153)
(4, 0, 2, (1, 0, 0), 10): (91, 91)
(4, 0, 2, (1, 0, 0), 11): (42, 42)
(4, 0, 2, (1, 0, 0), 12): (27, 27)
(4, 0, 2, (1, 0, 0), 13): (6, 6)
(4, 0, 2, (1, 0, 0), 14): (2, 2)
(4, 0, 2, (1, 0, 0), 15): (4, 4)
(4, 0, 2, (1, 0, 0), 16): (1, 1)
(4, 0, 2, (1, 0, 0), 17): (1, 1)
(4, 0, 2, (1, 0, 1), -18): (0, 1)
(4, 0, 2, (1, 0, 1), -15): (0, 1)
(4, 0, 2, (1, 0, 1), -12): (0, 4)
(4, 0, 2, (1, 0, 1), -11): (0, 7)
(4, 0, 2, (1, 0, 1), -10): (0, 2)
(4, 0, 2, (1, 0, 1), -9): (0, 12)
(4, 0, 2, (1, 0, 1), -8): (0, 16)
(4, 0, 2, (1, 0, 1), -7): (1, 61)
(4, 0, 2, (1, 0, 1), -6): (3, 98)
(4, 0, 2, (1, 0, 1), -5): (13, 168)
(4, 0, 2, (1, 0, 1), -4): (36, 333)
(4, 0, 2, (1, 0, 1), -3): (79, 546)
(4, 0, 2, (1, 0, 1), -2): (235, 951)
(4, 0, 2, (1, 0, 1), -1): (483, 1373)
(4, 0, 2, (1, 0, 1), 0): (1078, 2232)
(4, 0, 2, (1, 0, 1), 1): (1128, 1880)
(4, 0, 2, (1, 0, 1), 2): (1073, 1465)
(4, 0, 2, (1, 0, 1), 3): (847, 1024)
(4, 0, 2, (1, 0, 1), 4): (603, 688)
(4, 0, 2, (1, 0, 1), 5): (423, 463)
(4, 0, 2, (1, 0, 1), 6): (275, 288)
(4, 0, 2, (1, 0, 1), 7): (142, 146)
(4, 0, 2, (1, 0, 1), 8): (80, 84)
(4, 0, 2, (1, 0, 1), 9): (40, 42)
(4, 0, 2, (1, 0, 1), 10): (25, 25)
(4, 0, 2, (1, 0, 1), 11): (12, 12)
(4, 0, 2, (1, 0, 1), 12): (4, 4)
(4, 0, 2, (1, 0, 1), 13): (2, 2)
(4, 0, 2, (1, 0, 1), 14): (1, 1)
(4, 0, 2, (1, 0, 1), 15): (3, 3)
(4, 0, 2, (1, 1, 0), -17): (0, 1)
(4, 0, 2, (1, 1, 0), -13): (0, 5)
(4, 0, 2, (1, 1, 0), -12): (0, 6)
(4, 0, 2, (1, 1, 0), -11): (1, 10)
(4, 0, 2, (1, 1, 0), -10): (1, 9)
(4, 0, 2, (1, 1, 0), -9): (2, 46)
(4, 0, 2, (1, 1, 0), -8): (2, 58)
(4, 0, 2, (1, 1, 0), -7): (3, 123)
(4, 0, 2, (1, 1, 0), -6): (9, 238)
(4, 0, 2, (1, 1, 0), -5): (29, 452)
(4, 0, 2, (1, 1, 0), -4): (66, 825)
(4, 0, 2, (1, 1, 0), -3): (203, 1324)
(4, 0, 2, (1, 1, 0), -2): (435, 1972)
(4, 0, 2, (1, 1, 0), -1): (1004, 2966)
(4, 0, 2, (1, 1, 0), 0): (2212, 4686)
(4, 0, 2, (1, 1, 0), 1): (2381, 3894)
(4, 0, 2, (1, 1, 0), 2): (2106, 2921)
(4, 0, 2, (1, 1, 0), 3): (1494, 1845)
(4, 0, 2, (1, 1, 0), 4): (1091, 1233)
(4, 0, 2, (1, 1, 0), 5): (712, 781)
(4, 0, 2, (1, 1, 0), 6): (444, 477)
(4, 0, 2, (1, 1, 0), 7): (270, 276)
(4, 0, 2, (1, 1, 0), 8): (162, 165)
(4, 0, 2, (1, 1, 0), 9): (76, 76)
(4, 0, 2, (1, 1, 0), 10): (42, 42)
(4, 0, 2, (1, 1, 0), 11): (26, 26)
(4, 0, 2, (1, 1, 0), 12): (15, 15)
(4, 0, 2, (1, 1, 0), 13): (4, 4)
(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, 2)
(4, 0, 2, (1, 1, 1), -12): (0, 1)
(4, 0, 2, (1, 1, 1), -11): (0, 2)
(4, 0, 2, (1, 1, 1), -10): (0, 3)
(4, 0, 2, (1, 1, 1), -9): (0, 8)
(4, 0, 2, (1, 1, 1), -8): (1, 11)
(4, 0, 2, (1, 1, 1), -7): (1, 30)
(4, 0, 2, (1, 1, 1), -6): (0, 61)
(4, 0, 2, (1, 1, 1), -5): (13, 110)
(4, 0, 2, (1, 1, 1), -4): (25, 224)
(4, 0, 2, (1, 1, 1), -3): (69, 389)
(4, 0, 2, (1, 1, 1), -2): (140, 568)
(4, 0, 2, (1, 1, 1), -1): (339, 880)
(4, 0, 2, (1, 1, 1), 0): (717, 1414)
(4, 0, 2, (1, 1, 1), 1): (829, 1287)
(4, 0, 2, (1, 1, 1), 2): (741, 993)
(4, 0, 2, (1, 1, 1), 3): (573, 694)
(4, 0, 2, (1, 1, 1), 4): (419, 490)
(4, 0, 2, (1, 1, 1), 5): (275, 299)
(4, 0, 2, (1, 1, 1), 6): (168, 174)
(4, 0, 2, (1, 1, 1), 7): (95, 100)
(4, 0, 2, (1, 1, 1), 8): (56, 58)
(4, 0, 2, (1, 1, 1), 9): (36, 38)
(4, 0, 2, (1, 1, 1), 10): (18, 19)
(4, 0, 2, (1, 1, 1), 11): (6, 6)
(4, 0, 2, (1, 1, 1), 12): (5, 5)
(4, 0, 2, (1, 1, 1), 13): (2, 2)
(4, 0, 2, (1, 1, 1), 14): (1, 1)
(4, 0, 2, (1, 1, 1), 16): (1, 1)
(4, 0, 2, (1, 1, 1), 17): (1, 1)
(4, 1, 0, (0, 0, 0), -23): (0, 1)
(4, 1, 0, (0, 0, 0), -19): (0, 1)
(4, 1, 0, (0, 0, 0), -17): (0, 2)
(4, 1, 0, (0, 0, 0), -16): (0, 3)
(4, 1, 0, (0, 0, 0), -15): (0, 7)
(4, 1, 0, (0, 0, 0), -14): (0, 13)
(4, 1, 0, (0, 0, 0), -13): (0, 41)
(4, 1, 0, (0, 0, 0), -12): (1, 86)
(4, 1, 0, (0, 0, 0), -11): (2, 138)
(4, 1, 0, (0, 0, 0), -10): (2, 302)
(4, 1, 0, (0, 0, 0), -9): (10, 540)
(4, 1, 0, (0, 0, 0), -8): (23, 948)
(4, 1, 0, (0, 0, 0), -7): (61, 1658)
(4, 1, 0, (0, 0, 0), -6): (194, 2894)
(4, 1, 0, (0, 0, 0), -5): (479, 4955)
(4, 1, 0, (0, 0, 0), -4): (1171, 8258)
(4, 1, 0, (0, 0, 0), -3): (2999, 13564)
(4, 1, 0, (0, 0, 0), -2): (6560, 20792)
(4, 1, 0, (0, 0, 0), -1): (13187, 29695)
(4, 1, 0, (0, 0, 0), 0): (23896, 40504)
(4, 1, 0, (0, 0, 0), 1): (18881, 26066)
(4, 1, 0, (0, 0, 0), 2): (14235, 17284)
(4, 1, 0, (0, 0, 0), 3): (9783, 10984)
(4, 1, 0, (0, 0, 0), 4): (6232, 6673)
(4, 1, 0, (0, 0, 0), 5): (3679, 3819)
(4, 1, 0, (0, 0, 0), 6): (2010, 2062)
(4, 1, 0, (0, 0, 0), 7): (1047, 1062)
(4, 1, 0, (0, 0, 0), 8): (563, 570)
(4, 1, 0, (0, 0, 0), 9): (319, 320)
(4, 1, 0, (0, 0, 0), 10): (152, 153)
(4, 1, 0, (0, 0, 0), 11): (85, 87)
(4, 1, 0, (0, 0, 0), 12): (51, 51)
(4, 1, 0, (0, 0, 0), 13): (28, 28)
(4, 1, 0, (0, 0, 0), 14): (4, 4)
(4, 1, 0, (0, 0, 0), 15): (6, 6)
(4, 1, 0, (0, 0, 0), 16): (1, 1)
(4, 1, 0, (0, 0, 0), 17): (4, 4)
(4, 1, 0, (0, 0, 1), -12): (0, 1)
(4, 1, 0, (0, 0, 1), -11): (0, 1)
(4, 1, 0, (0, 0, 1), -10): (0, 2)
(4, 1, 0, (0, 0, 1), -9): (0, 11)
(4, 1, 0, (0, 0, 1), -8): (0, 10)
(4, 1, 0, (0, 0, 1), -7): (1, 18)
(4, 1, 0, (0, 0, 1), -6): (1, 31)
(4, 1, 0, (0, 0, 1), -5): (4, 47)
(4, 1, 0, (0, 0, 1), -4): (25, 91)
(4, 1, 0, (0, 0, 1), -3): (42, 154)
(4, 1, 0, (0, 0, 1), -2): (113, 274)
(4, 1, 0, (0, 0, 1), -1): (232, 423)
(4, 1, 0, (0, 0, 1), 0): (409, 594)
(4, 1, 0, (0, 0, 1), 1): (374, 467)
(4, 1, 0, (0, 0, 1), 2): (276, 324)
(4, 1, 0, (0, 0, 1), 3): (214, 232)
(4, 1, 0, (0, 0, 1), 4): (148, 154)
(4, 1, 0, (0, 0, 1), 5): (87, 88)
(4, 1, 0, (0, 0, 1), 6): (54, 55)
(4, 1, 0, (0, 0, 1), 7): (26, 26)
(4, 1, 0, (0, 0, 1), 8): (11, 11)
(4, 1, 0, (0, 0, 1), 9): (8, 8)
(4, 1, 0, (0, 0, 1), 10): (3, 3)
(4, 1, 0, (0, 0, 1), 11): (3, 3)
(4, 1, 0, (0, 0, 1), 12): (1, 1)
(4, 1, 0, (0, 1, 0), -16): (0, 1)
(4, 1, 0, (0, 1, 0), -13): (0, 2)
(4, 1, 0, (0, 1, 0), -12): (0, 7)
(4, 1, 0, (0, 1, 0), -11): (0, 10)
(4, 1, 0, (0, 1, 0), -10): (0, 18)
(4, 1, 0, (0, 1, 0), -9): (0, 32)
(4, 1, 0, (0, 1, 0), -8): (3, 61)
(4, 1, 0, (0, 1, 0), -7): (8, 108)
(4, 1, 0, (0, 1, 0), -6): (16, 200)
(4, 1, 0, (0, 1, 0), -5): (41, 313)
(4, 1, 0, (0, 1, 0), -4): (103, 522)
(4, 1, 0, (0, 1, 0), -3): (249, 851)
(4, 1, 0, (0, 1, 0), -2): (559, 1377)
(4, 1, 0, (0, 1, 0), -1): (1188, 2183)
(4, 1, 0, (0, 1, 0), 0): (2009, 3033)
(4, 1, 0, (0, 1, 0), 1): (1708, 2171)
(4, 1, 0, (0, 1, 0), 2): (1207, 1432)
(4, 1, 0, (0, 1, 0), 3): (823, 902)
(4, 1, 0, (0, 1, 0), 4): (545, 577)
(4, 1, 0, (0, 1, 0), 5): (397, 403)
(4, 1, 0, (0, 1, 0), 6): (198, 204)
(4, 1, 0, (0, 1, 0), 7): (94, 97)
(4, 1, 0, (0, 1, 0), 8): (48, 48)
(4, 1, 0, (0, 1, 0), 9): (33, 33)
(4, 1, 0, (0, 1, 0), 10): (13, 13)
(4, 1, 0, (0, 1, 0), 11): (4, 4)
(4, 1, 0, (0, 1, 0), 12): (2, 2)
(4, 1, 0, (0, 1, 0), 13): (2, 2)
(4, 1, 0, (0, 1, 0), 14): (3, 3)
(4, 1, 0, (0, 1, 0), 15): (1, 1)
(4, 1, 0, (0, 1, 1), -12): (0, 1)
(4, 1, 0, (0, 1, 1), -11): (0, 2)
(4, 1, 0, (0, 1, 1), -10): (0, 2)
(4, 1, 0, (0, 1, 1), -9): (0, 4)
(4, 1, 0, (0, 1, 1), -8): (0, 12)
(4, 1, 0, (0, 1, 1), -7): (2, 20)
(4, 1, 0, (0, 1, 1), -6): (8, 42)
(4, 1, 0, (0, 1, 1), -5): (13, 67)
(4, 1, 0, (0, 1, 1), -4): (31, 124)
(4, 1, 0, (0, 1, 1), -3): (78, 190)
(4, 1, 0, (0, 1, 1), -2): (147, 294)
(4, 1, 0, (0, 1, 1), -1): (269, 428)
(4, 1, 0, (0, 1, 1), 0): (451, 582)
(4, 1, 0, (0, 1, 1), 1): (433, 506)
(4, 1, 0, (0, 1, 1), 2): (264, 278)
(4, 1, 0, (0, 1, 1), 3): (179, 194)
(4, 1, 0, (0, 1, 1), 4): (128, 134)
(4, 1, 0, (0, 1, 1), 5): (79, 82)
(4, 1, 0, (0, 1, 1), 6): (64, 64)
(4, 1, 0, (0, 1, 1), 7): (22, 22)
(4, 1, 0, (0, 1, 1), 8): (26, 26)
(4, 1, 0, (0, 1, 1), 9): (13, 13)
(4, 1, 0, (0, 1, 1), 10): (3, 3)
(4, 1, 0, (0, 1, 1), 11): (2, 2)
(4, 1, 0, (0, 1, 1), 12): (2, 2)
(4, 1, 0, (0, 1, 1), 16): (1, 1)
(4, 1, 0, (1, 0, 0), -19): (0, 1)
(4, 1, 0, (1, 0, 0), -15): (0, 1)
(4, 1, 0, (1, 0, 0), -14): (0, 2)
(4, 1, 0, (1, 0, 0), -13): (0, 9)
(4, 1, 0, (1, 0, 0), -12): (1, 15)
(4, 1, 0, (1, 0, 0), -11): (1, 29)
(4, 1, 0, (1, 0, 0), -10): (1, 76)
(4, 1, 0, (1, 0, 0), -9): (5, 136)
(4, 1, 0, (1, 0, 0), -8): (9, 235)
(4, 1, 0, (1, 0, 0), -7): (20, 409)
(4, 1, 0, (1, 0, 0), -6): (74, 736)
(4, 1, 0, (1, 0, 0), -5): (156, 1325)
(4, 1, 0, (1, 0, 0), -4): (396, 2181)
(4, 1, 0, (1, 0, 0), -3): (952, 3529)
(4, 1, 0, (1, 0, 0), -2): (1960, 5459)
(4, 1, 0, (1, 0, 0), -1): (3924, 7780)
(4, 1, 0, (1, 0, 0), 0): (6809, 10724)
(4, 1, 0, (1, 0, 0), 1): (5314, 6984)
(4, 1, 0, (1, 0, 0), 2): (3775, 4502)
(4, 1, 0, (1, 0, 0), 3): (2714, 2985)
(4, 1, 0, (1, 0, 0), 4): (1703, 1795)
(4, 1, 0, (1, 0, 0), 5): (1049, 1074)
(4, 1, 0, (1, 0, 0), 6): (568, 581)
(4, 1, 0, (1, 0, 0), 7): (300, 303)
(4, 1, 0, (1, 0, 0), 8): (185, 187)
(4, 1, 0, (1, 0, 0), 9): (87, 87)
(4, 1, 0, (1, 0, 0), 10): (49, 49)
(4, 1, 0, (1, 0, 0), 11): (31, 31)
(4, 1, 0, (1, 0, 0), 12): (11, 11)
(4, 1, 0, (1, 0, 0), 13): (10, 10)
(4, 1, 0, (1, 0, 0), 14): (1, 1)
(4, 1, 0, (1, 0, 0), 15): (1, 1)
(4, 1, 0, (1, 0, 1), -12): (0, 1)
(4, 1, 0, (1, 0, 1), -11): (0, 2)
(4, 1, 0, (1, 0, 1), -10): (1, 8)
(4, 1, 0, (1, 0, 1), -9): (2, 10)
(4, 1, 0, (1, 0, 1), -8): (1, 21)
(4, 1, 0, (1, 0, 1), -7): (3, 29)
(4, 1, 0, (1, 0, 1), -6): (6, 63)
(4, 1, 0, (1, 0, 1), -5): (19, 89)
(4, 1, 0, (1, 0, 1), -4): (47, 172)
(4, 1, 0, (1, 0, 1), -3): (118, 314)
(4, 1, 0, (1, 0, 1), -2): (231, 480)
(4, 1, 0, (1, 0, 1), -1): (451, 739)
(4, 1, 0, (1, 0, 1), 0): (777, 1072)
(4, 1, 0, (1, 0, 1), 1): (661, 817)
(4, 1, 0, (1, 0, 1), 2): (453, 514)
(4, 1, 0, (1, 0, 1), 3): (329, 349)
(4, 1, 0, (1, 0, 1), 4): (213, 217)
(4, 1, 0, (1, 0, 1), 5): (136, 139)
(4, 1, 0, (1, 0, 1), 6): (82, 84)
(4, 1, 0, (1, 0, 1), 7): (49, 49)
(4, 1, 0, (1, 0, 1), 8): (34, 34)
(4, 1, 0, (1, 0, 1), 9): (21, 21)
(4, 1, 0, (1, 0, 1), 10): (4, 4)
(4, 1, 0, (1, 0, 1), 11): (3, 3)
(4, 1, 0, (1, 0, 1), 13): (2, 2)
(4, 1, 0, (1, 0, 1), 14): (1, 1)
(4, 1, 0, (1, 1, 0), -15): (0, 1)
(4, 1, 0, (1, 1, 0), -14): (0, 1)
(4, 1, 0, (1, 1, 0), -13): (0, 2)
(4, 1, 0, (1, 1, 0), -12): (0, 1)
(4, 1, 0, (1, 1, 0), -11): (1, 12)
(4, 1, 0, (1, 1, 0), -10): (0, 18)
(4, 1, 0, (1, 1, 0), -9): (2, 31)
(4, 1, 0, (1, 1, 0), -8): (6, 59)
(4, 1, 0, (1, 1, 0), -7): (11, 115)
(4, 1, 0, (1, 1, 0), -6): (20, 188)
(4, 1, 0, (1, 1, 0), -5): (57, 339)
(4, 1, 0, (1, 1, 0), -4): (144, 545)
(4, 1, 0, (1, 1, 0), -3): (271, 849)
(4, 1, 0, (1, 1, 0), -2): (574, 1319)
(4, 1, 0, (1, 1, 0), -1): (1029, 1742)
(4, 1, 0, (1, 1, 0), 0): (1673, 2402)
(4, 1, 0, (1, 1, 0), 1): (1341, 1671)
(4, 1, 0, (1, 1, 0), 2): (986, 1124)
(4, 1, 0, (1, 1, 0), 3): (644, 692)
(4, 1, 0, (1, 1, 0), 4): (427, 442)
(4, 1, 0, (1, 1, 0), 5): (266, 269)
(4, 1, 0, (1, 1, 0), 6): (177, 178)
(4, 1, 0, (1, 1, 0), 7): (112, 113)
(4, 1, 0, (1, 1, 0), 8): (48, 49)
(4, 1, 0, (1, 1, 0), 9): (38, 38)
(4, 1, 0, (1, 1, 0), 10): (22, 22)
(4, 1, 0, (1, 1, 0), 11): (9, 9)
(4, 1, 0, (1, 1, 0), 12): (4, 4)
(4, 1, 0, (1, 1, 0), 13): (1, 1)
(4, 1, 0, (1, 1, 0), 14): (2, 2)
(4, 1, 0, (1, 1, 0), 15): (1, 1)
(4, 1, 0, (1, 1, 1), -11): (0, 1)
(4, 1, 0, (1, 1, 1), -10): (1, 5)
(4, 1, 0, (1, 1, 1), -9): (1, 10)
(4, 1, 0, (1, 1, 1), -8): (2, 10)
(4, 1, 0, (1, 1, 1), -7): (1, 22)
(4, 1, 0, (1, 1, 1), -6): (3, 49)
(4, 1, 0, (1, 1, 1), -5): (14, 74)
(4, 1, 0, (1, 1, 1), -4): (36, 131)
(4, 1, 0, (1, 1, 1), -3): (90, 192)
(4, 1, 0, (1, 1, 1), -2): (158, 282)
(4, 1, 0, (1, 1, 1), -1): (260, 402)
(4, 1, 0, (1, 1, 1), 0): (434, 557)
(4, 1, 0, (1, 1, 1), 1): (353, 410)
(4, 1, 0, (1, 1, 1), 2): (282, 300)
(4, 1, 0, (1, 1, 1), 3): (199, 209)
(4, 1, 0, (1, 1, 1), 4): (139, 142)
(4, 1, 0, (1, 1, 1), 5): (96, 98)
(4, 1, 0, (1, 1, 1), 6): (61, 61)
(4, 1, 0, (1, 1, 1), 7): (41, 41)
(4, 1, 0, (1, 1, 1), 8): (17, 17)
(4, 1, 0, (1, 1, 1), 9): (13, 13)
(4, 1, 0, (1, 1, 1), 10): (8, 8)
(4, 1, 0, (1, 1, 1), 11): (2, 2)
(4, 1, 0, (1, 1, 1), 12): (1, 1)
(4, 1, 1, (0, 0, 0), -23): (0, 1)
(4, 1, 1, (0, 0, 0), -17): (0, 1)
(4, 1, 1, (0, 0, 0), -16): (0, 2)
(4, 1, 1, (0, 0, 0), -15): (0, 6)
(4, 1, 1, (0, 0, 0), -14): (0, 11)
(4, 1, 1, (0, 0, 0), -13): (0, 28)
(4, 1, 1, (0, 0, 0), -12): (0, 64)
(4, 1, 1, (0, 0, 0), -11): (1, 99)
(4, 1, 1, (0, 0, 0), -10): (1, 199)
(4, 1, 1, (0, 0, 0), -9): (4, 364)
(4, 1, 1, (0, 0, 0), -8): (12, 645)
(4, 1, 1, (0, 0, 0), -7): (28, 1135)
(4, 1, 1, (0, 0, 0), -6): (100, 1951)
(4, 1, 1, (0, 0, 0), -5): (279, 3325)
(4, 1, 1, (0, 0, 0), -4): (640, 5548)
(4, 1, 1, (0, 0, 0), -3): (1755, 9219)
(4, 1, 1, (0, 0, 0), -2): (4024, 14149)
(4, 1, 1, (0, 0, 0), -1): (8230, 20266)
(4, 1, 1, (0, 0, 0), 0): (15502, 27740)
(4, 1, 1, (0, 0, 0), 1): (12912, 18484)
(4, 1, 1, (0, 0, 0), 2): (10377, 12799)
(4, 1, 1, (0, 0, 0), 3): (7117, 8103)
(4, 1, 1, (0, 0, 0), 4): (4626, 4992)
(4, 1, 1, (0, 0, 0), 5): (2689, 2818)
(4, 1, 1, (0, 0, 0), 6): (1545, 1582)
(4, 1, 1, (0, 0, 0), 7): (847, 863)
(4, 1, 1, (0, 0, 0), 8): (456, 463)
(4, 1, 1, (0, 0, 0), 9): (281, 284)
(4, 1, 1, (0, 0, 0), 10): (143, 143)
(4, 1, 1, (0, 0, 0), 11): (70, 72)
(4, 1, 1, (0, 0, 0), 12): (50, 50)
(4, 1, 1, (0, 0, 0), 13): (19, 19)
(4, 1, 1, (0, 0, 0), 14): (4, 4)
(4, 1, 1, (0, 0, 0), 15): (6, 6)
(4, 1, 1, (0, 0, 0), 16): (1, 1)
(4, 1, 1, (0, 0, 0), 17): (5, 5)
(4, 1, 1, (0, 0, 1), -13): (0, 1)
(4, 1, 1, (0, 0, 1), -12): (0, 1)
(4, 1, 1, (0, 0, 1), -11): (0, 5)
(4, 1, 1, (0, 0, 1), -10): (0, 4)
(4, 1, 1, (0, 0, 1), -9): (0, 17)
(4, 1, 1, (0, 0, 1), -8): (1, 30)
(4, 1, 1, (0, 0, 1), -7): (2, 40)
(4, 1, 1, (0, 0, 1), -6): (4, 83)
(4, 1, 1, (0, 0, 1), -5): (16, 136)
(4, 1, 1, (0, 0, 1), -4): (43, 253)
(4, 1, 1, (0, 0, 1), -3): (108, 401)
(4, 1, 1, (0, 0, 1), -2): (281, 685)
(4, 1, 1, (0, 0, 1), -1): (605, 1203)
(4, 1, 1, (0, 0, 1), 0): (1121, 1730)
(4, 1, 1, (0, 0, 1), 1): (1114, 1447)
(4, 1, 1, (0, 0, 1), 2): (953, 1118)
(4, 1, 1, (0, 0, 1), 3): (657, 719)
(4, 1, 1, (0, 0, 1), 4): (523, 550)
(4, 1, 1, (0, 0, 1), 5): (272, 277)
(4, 1, 1, (0, 0, 1), 6): (165, 166)
(4, 1, 1, (0, 0, 1), 7): (83, 84)
(4, 1, 1, (0, 0, 1), 8): (53, 53)
(4, 1, 1, (0, 0, 1), 9): (24, 24)
(4, 1, 1, (0, 0, 1), 10): (10, 10)
(4, 1, 1, (0, 0, 1), 11): (7, 7)
(4, 1, 1, (0, 0, 1), 12): (2, 2)
(4, 1, 1, (0, 0, 1), 13): (3, 3)
(4, 1, 1, (0, 0, 1), 14): (1, 1)
(4, 1, 1, (0, 1, 0), -16): (0, 1)
(4, 1, 1, (0, 1, 0), -15): (0, 1)
(4, 1, 1, (0, 1, 0), -13): (0, 4)
(4, 1, 1, (0, 1, 0), -12): (0, 10)
(4, 1, 1, (0, 1, 0), -11): (1, 8)
(4, 1, 1, (0, 1, 0), -10): (0, 30)
(4, 1, 1, (0, 1, 0), -9): (1, 53)
(4, 1, 1, (0, 1, 0), -8): (0, 89)
(4, 1, 1, (0, 1, 0), -7): (9, 155)
(4, 1, 1, (0, 1, 0), -6): (19, 279)
(4, 1, 1, (0, 1, 0), -5): (61, 502)
(4, 1, 1, (0, 1, 0), -4): (116, 766)
(4, 1, 1, (0, 1, 0), -3): (353, 1317)
(4, 1, 1, (0, 1, 0), -2): (718, 2098)
(4, 1, 1, (0, 1, 0), -1): (1683, 3516)
(4, 1, 1, (0, 1, 0), 0): (3018, 4936)
(4, 1, 1, (0, 1, 0), 1): (2820, 3812)
(4, 1, 1, (0, 1, 0), 2): (2353, 2867)
(4, 1, 1, (0, 1, 0), 3): (1800, 1977)
(4, 1, 1, (0, 1, 0), 4): (1150, 1227)
(4, 1, 1, (0, 1, 0), 5): (796, 813)
(4, 1, 1, (0, 1, 0), 6): (428, 439)
(4, 1, 1, (0, 1, 0), 7): (216, 217)
(4, 1, 1, (0, 1, 0), 8): (110, 110)
(4, 1, 1, (0, 1, 0), 9): (62, 62)
(4, 1, 1, (0, 1, 0), 10): (39, 39)
(4, 1, 1, (0, 1, 0), 11): (19, 19)
(4, 1, 1, (0, 1, 0), 12): (8, 8)
(4, 1, 1, (0, 1, 0), 13): (5, 5)
(4, 1, 1, (0, 1, 0), 14): (3, 3)
(4, 1, 1, (0, 1, 0), 15): (4, 4)
(4, 1, 1, (0, 1, 0), 16): (1, 1)
(4, 1, 1, (0, 1, 0), 17): (1, 1)
(4, 1, 1, (0, 1, 1), -19): (0, 1)
(4, 1, 1, (0, 1, 1), -15): (0, 1)
(4, 1, 1, (0, 1, 1), -12): (0, 2)
(4, 1, 1, (0, 1, 1), -11): (0, 5)
(4, 1, 1, (0, 1, 1), -10): (0, 3)
(4, 1, 1, (0, 1, 1), -9): (1, 12)
(4, 1, 1, (0, 1, 1), -8): (0, 15)
(4, 1, 1, (0, 1, 1), -7): (2, 35)
(4, 1, 1, (0, 1, 1), -6): (11, 97)
(4, 1, 1, (0, 1, 1), -5): (17, 139)
(4, 1, 1, (0, 1, 1), -4): (46, 231)
(4, 1, 1, (0, 1, 1), -3): (110, 359)
(4, 1, 1, (0, 1, 1), -2): (281, 643)
(4, 1, 1, (0, 1, 1), -1): (531, 926)
(4, 1, 1, (0, 1, 1), 0): (975, 1381)
(4, 1, 1, (0, 1, 1), 1): (937, 1166)
(4, 1, 1, (0, 1, 1), 2): (795, 918)
(4, 1, 1, (0, 1, 1), 3): (527, 572)
(4, 1, 1, (0, 1, 1), 4): (380, 392)
(4, 1, 1, (0, 1, 1), 5): (260, 265)
(4, 1, 1, (0, 1, 1), 6): (163, 164)
(4, 1, 1, (0, 1, 1), 7): (83, 84)
(4, 1, 1, (0, 1, 1), 8): (61, 61)
(4, 1, 1, (0, 1, 1), 9): (34, 34)
(4, 1, 1, (0, 1, 1), 10): (16, 16)
(4, 1, 1, (0, 1, 1), 11): (8, 8)
(4, 1, 1, (0, 1, 1), 12): (4, 4)
(4, 1, 1, (0, 1, 1), 13): (1, 1)
(4, 1, 1, (0, 1, 1), 14): (1, 1)
(4, 1, 1, (0, 1, 1), 15): (2, 2)
(4, 1, 1, (0, 1, 1), 17): (1, 1)
(4, 1, 1, (1, 0, 0), -19): (0, 1)
(4, 1, 1, (1, 0, 0), -16): (0, 1)
(4, 1, 1, (1, 0, 0), -15): (0, 1)
(4, 1, 1, (1, 0, 0), -14): (0, 4)
(4, 1, 1, (1, 0, 0), -13): (0, 12)
(4, 1, 1, (1, 0, 0), -12): (0, 23)
(4, 1, 1, (1, 0, 0), -11): (0, 40)
(4, 1, 1, (1, 0, 0), -10): (1, 97)
(4, 1, 1, (1, 0, 0), -9): (1, 167)
(4, 1, 1, (1, 0, 0), -8): (6, 277)
(4, 1, 1, (1, 0, 0), -7): (20, 484)
(4, 1, 1, (1, 0, 0), -6): (59, 834)
(4, 1, 1, (1, 0, 0), -5): (143, 1464)
(4, 1, 1, (1, 0, 0), -4): (355, 2453)
(4, 1, 1, (1, 0, 0), -3): (916, 4002)
(4, 1, 1, (1, 0, 0), -2): (1928, 6207)
(4, 1, 1, (1, 0, 0), -1): (3781, 8461)
(4, 1, 1, (1, 0, 0), 0): (6817, 11502)
(4, 1, 1, (1, 0, 0), 1): (5836, 8069)
(4, 1, 1, (1, 0, 0), 2): (4699, 5664)
(4, 1, 1, (1, 0, 0), 3): (3192, 3556)
(4, 1, 1, (1, 0, 0), 4): (2068, 2201)
(4, 1, 1, (1, 0, 0), 5): (1364, 1417)
(4, 1, 1, (1, 0, 0), 6): (746, 760)
(4, 1, 1, (1, 0, 0), 7): (460, 470)
(4, 1, 1, (1, 0, 0), 8): (241, 244)
(4, 1, 1, (1, 0, 0), 9): (142, 142)
(4, 1, 1, (1, 0, 0), 10): (76, 76)
(4, 1, 1, (1, 0, 0), 11): (40, 40)
(4, 1, 1, (1, 0, 0), 12): (27, 27)
(4, 1, 1, (1, 0, 0), 13): (10, 10)
(4, 1, 1, (1, 0, 0), 14): (4, 4)
(4, 1, 1, (1, 0, 0), 15): (6, 6)
(4, 1, 1, (1, 0, 0), 17): (1, 1)
(4, 1, 1, (1, 0, 1), -18): (0, 1)
(4, 1, 1, (1, 0, 1), -15): (0, 1)
(4, 1, 1, (1, 0, 1), -14): (0, 1)
(4, 1, 1, (1, 0, 1), -13): (0, 2)
(4, 1, 1, (1, 0, 1), -12): (0, 2)
(4, 1, 1, (1, 0, 1), -11): (0, 8)
(4, 1, 1, (1, 0, 1), -10): (0, 9)
(4, 1, 1, (1, 0, 1), -9): (1, 13)
(4, 1, 1, (1, 0, 1), -8): (1, 39)
(4, 1, 1, (1, 0, 1), -7): (6, 67)
(4, 1, 1, (1, 0, 1), -6): (5, 124)
(4, 1, 1, (1, 0, 1), -5): (32, 213)
(4, 1, 1, (1, 0, 1), -4): (79, 352)
(4, 1, 1, (1, 0, 1), -3): (169, 565)
(4, 1, 1, (1, 0, 1), -2): (337, 886)
(4, 1, 1, (1, 0, 1), -1): (727, 1359)
(4, 1, 1, (1, 0, 1), 0): (1264, 1864)
(4, 1, 1, (1, 0, 1), 1): (1222, 1574)
(4, 1, 1, (1, 0, 1), 2): (989, 1148)
(4, 1, 1, (1, 0, 1), 3): (702, 764)
(4, 1, 1, (1, 0, 1), 4): (496, 519)
(4, 1, 1, (1, 0, 1), 5): (353, 361)
(4, 1, 1, (1, 0, 1), 6): (202, 203)
(4, 1, 1, (1, 0, 1), 7): (128, 129)
(4, 1, 1, (1, 0, 1), 8): (55, 55)
(4, 1, 1, (1, 0, 1), 9): (30, 30)
(4, 1, 1, (1, 0, 1), 10): (21, 21)
(4, 1, 1, (1, 0, 1), 11): (9, 9)
(4, 1, 1, (1, 0, 1), 12): (3, 3)
(4, 1, 1, (1, 0, 1), 13): (3, 3)
(4, 1, 1, (1, 0, 1), 15): (1, 1)
(4, 1, 1, (1, 1, 0), -16): (0, 1)
(4, 1, 1, (1, 1, 0), -14): (0, 3)
(4, 1, 1, (1, 1, 0), -13): (0, 9)
(4, 1, 1, (1, 1, 0), -12): (0, 10)
(4, 1, 1, (1, 1, 0), -11): (0, 14)
(4, 1, 1, (1, 1, 0), -10): (0, 23)
(4, 1, 1, (1, 1, 0), -9): (1, 58)
(4, 1, 1, (1, 1, 0), -8): (4, 116)
(4, 1, 1, (1, 1, 0), -7): (14, 182)
(4, 1, 1, (1, 1, 0), -6): (35, 305)
(4, 1, 1, (1, 1, 0), -5): (71, 536)
(4, 1, 1, (1, 1, 0), -4): (148, 796)
(4, 1, 1, (1, 1, 0), -3): (378, 1328)
(4, 1, 1, (1, 1, 0), -2): (714, 2019)
(4, 1, 1, (1, 1, 0), -1): (1437, 2755)
(4, 1, 1, (1, 1, 0), 0): (2366, 3792)
(4, 1, 1, (1, 1, 0), 1): (2219, 2897)
(4, 1, 1, (1, 1, 0), 2): (1791, 2102)
(4, 1, 1, (1, 1, 0), 3): (1272, 1413)
(4, 1, 1, (1, 1, 0), 4): (839, 879)
(4, 1, 1, (1, 1, 0), 5): (619, 632)
(4, 1, 1, (1, 1, 0), 6): (347, 352)
(4, 1, 1, (1, 1, 0), 7): (218, 219)
(4, 1, 1, (1, 1, 0), 8): (123, 123)
(4, 1, 1, (1, 1, 0), 9): (74, 74)
(4, 1, 1, (1, 1, 0), 10): (42, 42)
(4, 1, 1, (1, 1, 0), 11): (20, 20)
(4, 1, 1, (1, 1, 0), 12): (7, 7)
(4, 1, 1, (1, 1, 0), 13): (3, 3)
(4, 1, 1, (1, 1, 0), 14): (2, 2)
(4, 1, 1, (1, 1, 0), 15): (5, 5)
(4, 1, 1, (1, 1, 0), 16): (1, 1)
(4, 1, 1, (1, 1, 0), 18): (1, 1)
(4, 1, 1, (1, 1, 1), -14): (0, 1)
(4, 1, 1, (1, 1, 1), -12): (0, 1)
(4, 1, 1, (1, 1, 1), -11): (0, 6)
(4, 1, 1, (1, 1, 1), -10): (0, 3)
(4, 1, 1, (1, 1, 1), -9): (0, 16)
(4, 1, 1, (1, 1, 1), -8): (1, 28)
(4, 1, 1, (1, 1, 1), -7): (6, 45)
(4, 1, 1, (1, 1, 1), -6): (18, 92)
(4, 1, 1, (1, 1, 1), -5): (42, 161)
(4, 1, 1, (1, 1, 1), -4): (55, 235)
(4, 1, 1, (1, 1, 1), -3): (132, 358)
(4, 1, 1, (1, 1, 1), -2): (258, 539)
(4, 1, 1, (1, 1, 1), -1): (506, 831)
(4, 1, 1, (1, 1, 1), 0): (885, 1284)
(4, 1, 1, (1, 1, 1), 1): (876, 1113)
(4, 1, 1, (1, 1, 1), 2): (778, 879)
(4, 1, 1, (1, 1, 1), 3): (551, 591)
(4, 1, 1, (1, 1, 1), 4): (369, 380)
(4, 1, 1, (1, 1, 1), 5): (273, 279)
(4, 1, 1, (1, 1, 1), 6): (171, 172)
(4, 1, 1, (1, 1, 1), 7): (99, 100)
(4, 1, 1, (1, 1, 1), 8): (50, 50)
(4, 1, 1, (1, 1, 1), 9): (26, 26)
(4, 1, 1, (1, 1, 1), 10): (14, 14)
(4, 1, 1, (1, 1, 1), 11): (6, 6)
(4, 1, 1, (1, 1, 1), 12): (4, 4)
(4, 1, 1, (1, 1, 1), 13): (2, 2)
(4, 1, 1, (1, 1, 1), 15): (2, 2)
(4, 1, 1, (1, 1, 1), 16): (1, 1)
(4, 1, 2, (0, 0, 0), -23): (0, 1)
(4, 1, 2, (0, 0, 0), -17): (0, 1)
(4, 1, 2, (0, 0, 0), -16): (0, 1)
(4, 1, 2, (0, 0, 0), -15): (0, 4)
(4, 1, 2, (0, 0, 0), -14): (0, 8)
(4, 1, 2, (0, 0, 0), -13): (0, 18)
(4, 1, 2, (0, 0, 0), -12): (0, 44)
(4, 1, 2, (0, 0, 0), -11): (0, 71)
(4, 1, 2, (0, 0, 0), -10): (0, 138)
(4, 1, 2, (0, 0, 0), -9): (3, 255)
(4, 1, 2, (0, 0, 0), -8): (9, 469)
(4, 1, 2, (0, 0, 0), -7): (15, 828)
(4, 1, 2, (0, 0, 0), -6): (62, 1438)
(4, 1, 2, (0, 0, 0), -5): (160, 2437)
(4, 1, 2, (0, 0, 0), -4): (398, 4082)
(4, 1, 2, (0, 0, 0), -3): (1141, 6877)
(4, 1, 2, (0, 0, 0), -2): (2773, 10576)
(4, 1, 2, (0, 0, 0), -1): (5819, 15363)
(4, 1, 2, (0, 0, 0), 0): (11425, 21243)
(4, 1, 2, (0, 0, 0), 1): (10266, 14960)
(4, 1, 2, (0, 0, 0), 2): (8388, 10545)
(4, 1, 2, (0, 0, 0), 3): (6072, 6973)
(4, 1, 2, (0, 0, 0), 4): (3992, 4323)
(4, 1, 2, (0, 0, 0), 5): (2423, 2540)
(4, 1, 2, (0, 0, 0), 6): (1464, 1507)
(4, 1, 2, (0, 0, 0), 7): (890, 904)
(4, 1, 2, (0, 0, 0), 8): (526, 531)
(4, 1, 2, (0, 0, 0), 9): (293, 296)
(4, 1, 2, (0, 0, 0), 10): (154, 154)
(4, 1, 2, (0, 0, 0), 11): (81, 83)
(4, 1, 2, (0, 0, 0), 12): (53, 53)
(4, 1, 2, (0, 0, 0), 13): (24, 24)
(4, 1, 2, (0, 0, 0), 14): (7, 7)
(4, 1, 2, (0, 0, 0), 15): (3, 3)
(4, 1, 2, (0, 0, 0), 16): (3, 3)
(4, 1, 2, (0, 0, 0), 17): (4, 4)
(4, 1, 2, (0, 0, 0), 18): (1, 1)
(4, 1, 2, (0, 0, 1), -13): (0, 1)
(4, 1, 2, (0, 0, 1), -12): (0, 1)
(4, 1, 2, (0, 0, 1), -11): (1, 7)
(4, 1, 2, (0, 0, 1), -10): (0, 18)
(4, 1, 2, (0, 0, 1), -9): (0, 25)
(4, 1, 2, (0, 0, 1), -8): (0, 33)
(4, 1, 2, (0, 0, 1), -7): (4, 69)
(4, 1, 2, (0, 0, 1), -6): (2, 113)
(4, 1, 2, (0, 0, 1), -5): (21, 231)
(4, 1, 2, (0, 0, 1), -4): (55, 384)
(4, 1, 2, (0, 0, 1), -3): (107, 643)
(4, 1, 2, (0, 0, 1), -2): (307, 984)
(4, 1, 2, (0, 0, 1), -1): (714, 1649)
(4, 1, 2, (0, 0, 1), 0): (1305, 2304)
(4, 1, 2, (0, 0, 1), 1): (1487, 2056)
(4, 1, 2, (0, 0, 1), 2): (1248, 1553)
(4, 1, 2, (0, 0, 1), 3): (987, 1118)
(4, 1, 2, (0, 0, 1), 4): (736, 802)
(4, 1, 2, (0, 0, 1), 5): (499, 517)
(4, 1, 2, (0, 0, 1), 6): (315, 323)
(4, 1, 2, (0, 0, 1), 7): (147, 149)
(4, 1, 2, (0, 0, 1), 8): (111, 113)
(4, 1, 2, (0, 0, 1), 9): (55, 55)
(4, 1, 2, (0, 0, 1), 10): (30, 30)
(4, 1, 2, (0, 0, 1), 11): (17, 17)
(4, 1, 2, (0, 0, 1), 12): (13, 13)
(4, 1, 2, (0, 0, 1), 13): (4, 4)
(4, 1, 2, (0, 0, 1), 14): (1, 1)
(4, 1, 2, (0, 0, 1), 15): (1, 1)
(4, 1, 2, (0, 1, 0), -16): (0, 1)
(4, 1, 2, (0, 1, 0), -15): (0, 1)
(4, 1, 2, (0, 1, 0), -13): (0, 3)
(4, 1, 2, (0, 1, 0), -12): (0, 11)
(4, 1, 2, (0, 1, 0), -11): (0, 9)
(4, 1, 2, (0, 1, 0), -10): (0, 37)
(4, 1, 2, (0, 1, 0), -9): (0, 48)
(4, 1, 2, (0, 1, 0), -8): (2, 95)
(4, 1, 2, (0, 1, 0), -7): (7, 185)
(4, 1, 2, (0, 1, 0), -6): (16, 307)
(4, 1, 2, (0, 1, 0), -5): (46, 515)
(4, 1, 2, (0, 1, 0), -4): (99, 870)
(4, 1, 2, (0, 1, 0), -3): (315, 1508)
(4, 1, 2, (0, 1, 0), -2): (747, 2459)
(4, 1, 2, (0, 1, 0), -1): (1686, 3990)
(4, 1, 2, (0, 1, 0), 0): (3245, 5694)
(4, 1, 2, (0, 1, 0), 1): (3472, 4916)
(4, 1, 2, (0, 1, 0), 2): (3189, 3936)
(4, 1, 2, (0, 1, 0), 3): (2530, 2834)
(4, 1, 2, (0, 1, 0), 4): (1721, 1849)
(4, 1, 2, (0, 1, 0), 5): (1112, 1162)
(4, 1, 2, (0, 1, 0), 6): (693, 709)
(4, 1, 2, (0, 1, 0), 7): (391, 396)
(4, 1, 2, (0, 1, 0), 8): (178, 180)
(4, 1, 2, (0, 1, 0), 9): (134, 134)
(4, 1, 2, (0, 1, 0), 10): (74, 74)
(4, 1, 2, (0, 1, 0), 11): (44, 44)
(4, 1, 2, (0, 1, 0), 12): (18, 18)
(4, 1, 2, (0, 1, 0), 13): (6, 6)
(4, 1, 2, (0, 1, 0), 14): (11, 11)
(4, 1, 2, (0, 1, 0), 15): (4, 4)
(4, 1, 2, (0, 1, 0), 16): (3, 3)
(4, 1, 2, (0, 1, 0), 17): (3, 3)
(4, 1, 2, (0, 1, 0), 18): (1, 1)
(4, 1, 2, (0, 1, 1), -15): (0, 1)
(4, 1, 2, (0, 1, 1), -14): (0, 1)
(4, 1, 2, (0, 1, 1), -13): (0, 1)
(4, 1, 2, (0, 1, 1), -12): (0, 2)
(4, 1, 2, (0, 1, 1), -11): (0, 2)
(4, 1, 2, (0, 1, 1), -10): (1, 9)
(4, 1, 2, (0, 1, 1), -9): (1, 17)
(4, 1, 2, (0, 1, 1), -8): (0, 24)
(4, 1, 2, (0, 1, 1), -7): (1, 46)
(4, 1, 2, (0, 1, 1), -6): (4, 90)
(4, 1, 2, (0, 1, 1), -5): (12, 136)
(4, 1, 2, (0, 1, 1), -4): (33, 224)
(4, 1, 2, (0, 1, 1), -3): (80, 363)
(4, 1, 2, (0, 1, 1), -2): (221, 645)
(4, 1, 2, (0, 1, 1), -1): (407, 897)
(4, 1, 2, (0, 1, 1), 0): (841, 1366)
(4, 1, 2, (0, 1, 1), 1): (976, 1276)
(4, 1, 2, (0, 1, 1), 2): (834, 1005)
(4, 1, 2, (0, 1, 1), 3): (669, 752)
(4, 1, 2, (0, 1, 1), 4): (484, 521)
(4, 1, 2, (0, 1, 1), 5): (303, 313)
(4, 1, 2, (0, 1, 1), 6): (186, 190)
(4, 1, 2, (0, 1, 1), 7): (125, 126)
(4, 1, 2, (0, 1, 1), 8): (69, 69)
(4, 1, 2, (0, 1, 1), 9): (45, 45)
(4, 1, 2, (0, 1, 1), 10): (16, 16)
(4, 1, 2, (0, 1, 1), 11): (11, 11)
(4, 1, 2, (0, 1, 1), 12): (8, 8)
(4, 1, 2, (0, 1, 1), 13): (2, 2)
(4, 1, 2, (0, 1, 1), 14): (2, 2)
(4, 1, 2, (0, 1, 1), 15): (2, 2)
(4, 1, 2, (0, 1, 1), 19): (1, 1)
(4, 1, 2, (1, 0, 0), -15): (0, 1)
(4, 1, 2, (1, 0, 0), -14): (0, 4)
(4, 1, 2, (1, 0, 0), -13): (0, 10)
(4, 1, 2, (1, 0, 0), -12): (0, 23)
(4, 1, 2, (1, 0, 0), -11): (0, 35)
(4, 1, 2, (1, 0, 0), -10): (1, 92)
(4, 1, 2, (1, 0, 0), -9): (1, 146)
(4, 1, 2, (1, 0, 0), -8): (3, 266)
(4, 1, 2, (1, 0, 0), -7): (13, 450)
(4, 1, 2, (1, 0, 0), -6): (39, 776)
(4, 1, 2, (1, 0, 0), -5): (112, 1321)
(4, 1, 2, (1, 0, 0), -4): (241, 2249)
(4, 1, 2, (1, 0, 0), -3): (662, 3701)
(4, 1, 2, (1, 0, 0), -2): (1664, 5781)
(4, 1, 2, (1, 0, 0), -1): (3113, 7850)
(4, 1, 2, (1, 0, 0), 0): (6181, 11038)
(4, 1, 2, (1, 0, 0), 1): (5827, 8293)
(4, 1, 2, (1, 0, 0), 2): (4757, 5916)
(4, 1, 2, (1, 0, 0), 3): (3505, 3984)
(4, 1, 2, (1, 0, 0), 4): (2484, 2681)
(4, 1, 2, (1, 0, 0), 5): (1625, 1692)
(4, 1, 2, (1, 0, 0), 6): (999, 1025)
(4, 1, 2, (1, 0, 0), 7): (623, 631)
(4, 1, 2, (1, 0, 0), 8): (352, 354)
(4, 1, 2, (1, 0, 0), 9): (203, 204)
(4, 1, 2, (1, 0, 0), 10): (120, 120)
(4, 1, 2, (1, 0, 0), 11): (60, 60)
(4, 1, 2, (1, 0, 0), 12): (38, 38)
(4, 1, 2, (1, 0, 0), 13): (23, 23)
(4, 1, 2, (1, 0, 0), 14): (9, 9)
(4, 1, 2, (1, 0, 0), 15): (4, 4)
(4, 1, 2, (1, 0, 0), 16): (1, 1)
(4, 1, 2, (1, 0, 0), 17): (3, 3)
(4, 1, 2, (1, 0, 0), 18): (1, 1)
(4, 1, 2, (1, 0, 1), -18): (0, 1)
(4, 1, 2, (1, 0, 1), -14): (0, 1)
(4, 1, 2, (1, 0, 1), -13): (0, 2)
(4, 1, 2, (1, 0, 1), -12): (0, 2)
(4, 1, 2, (1, 0, 1), -11): (0, 6)
(4, 1, 2, (1, 0, 1), -10): (0, 11)
(4, 1, 2, (1, 0, 1), -9): (1, 22)
(4, 1, 2, (1, 0, 1), -8): (1, 41)
(4, 1, 2, (1, 0, 1), -7): (3, 79)
(4, 1, 2, (1, 0, 1), -6): (8, 127)
(4, 1, 2, (1, 0, 1), -5): (24, 236)
(4, 1, 2, (1, 0, 1), -4): (63, 402)
(4, 1, 2, (1, 0, 1), -3): (123, 668)
(4, 1, 2, (1, 0, 1), -2): (348, 1028)
(4, 1, 2, (1, 0, 1), -1): (676, 1487)
(4, 1, 2, (1, 0, 1), 0): (1279, 2191)
(4, 1, 2, (1, 0, 1), 1): (1393, 1925)
(4, 1, 2, (1, 0, 1), 2): (1262, 1558)
(4, 1, 2, (1, 0, 1), 3): (970, 1080)
(4, 1, 2, (1, 0, 1), 4): (698, 751)
(4, 1, 2, (1, 0, 1), 5): (483, 506)
(4, 1, 2, (1, 0, 1), 6): (305, 310)
(4, 1, 2, (1, 0, 1), 7): (216, 217)
(4, 1, 2, (1, 0, 1), 8): (126, 128)
(4, 1, 2, (1, 0, 1), 9): (69, 69)
(4, 1, 2, (1, 0, 1), 10): (38, 38)
(4, 1, 2, (1, 0, 1), 11): (18, 18)
(4, 1, 2, (1, 0, 1), 12): (7, 7)
(4, 1, 2, (1, 0, 1), 13): (5, 5)
(4, 1, 2, (1, 0, 1), 15): (3, 3)
(4, 1, 2, (1, 0, 1), 16): (2, 2)
(4, 1, 2, (1, 0, 1), 18): (2, 2)
(4, 1, 2, (1, 1, 0), -16): (0, 1)
(4, 1, 2, (1, 1, 0), -13): (0, 9)
(4, 1, 2, (1, 1, 0), -12): (0, 8)
(4, 1, 2, (1, 1, 0), -11): (0, 11)
(4, 1, 2, (1, 1, 0), -10): (0, 41)
(4, 1, 2, (1, 1, 0), -9): (1, 56)
(4, 1, 2, (1, 1, 0), -8): (2, 99)
(4, 1, 2, (1, 1, 0), -7): (5, 177)
(4, 1, 2, (1, 1, 0), -6): (15, 307)
(4, 1, 2, (1, 1, 0), -5): (41, 553)
(4, 1, 2, (1, 1, 0), -4): (105, 892)
(4, 1, 2, (1, 1, 0), -3): (293, 1391)
(4, 1, 2, (1, 1, 0), -2): (660, 2276)
(4, 1, 2, (1, 1, 0), -1): (1375, 3115)
(4, 1, 2, (1, 1, 0), 0): (2694, 4545)
(4, 1, 2, (1, 1, 0), 1): (2735, 3825)
(4, 1, 2, (1, 1, 0), 2): (2388, 2884)
(4, 1, 2, (1, 1, 0), 3): (1819, 2028)
(4, 1, 2, (1, 1, 0), 4): (1195, 1278)
(4, 1, 2, (1, 1, 0), 5): (812, 844)
(4, 1, 2, (1, 1, 0), 6): (534, 553)
(4, 1, 2, (1, 1, 0), 7): (359, 366)
(4, 1, 2, (1, 1, 0), 8): (184, 186)
(4, 1, 2, (1, 1, 0), 9): (116, 116)
(4, 1, 2, (1, 1, 0), 10): (79, 79)
(4, 1, 2, (1, 1, 0), 11): (41, 41)
(4, 1, 2, (1, 1, 0), 12): (17, 17)
(4, 1, 2, (1, 1, 0), 13): (13, 13)
(4, 1, 2, (1, 1, 0), 14): (6, 6)
(4, 1, 2, (1, 1, 0), 15): (4, 4)
(4, 1, 2, (1, 1, 0), 17): (1, 1)
(4, 1, 2, (1, 1, 1), -14): (0, 1)
(4, 1, 2, (1, 1, 1), -13): (0, 1)
(4, 1, 2, (1, 1, 1), -12): (0, 1)
(4, 1, 2, (1, 1, 1), -11): (0, 5)
(4, 1, 2, (1, 1, 1), -10): (0, 7)
(4, 1, 2, (1, 1, 1), -9): (1, 19)
(4, 1, 2, (1, 1, 1), -8): (0, 28)
(4, 1, 2, (1, 1, 1), -7): (2, 56)
(4, 1, 2, (1, 1, 1), -6): (7, 63)
(4, 1, 2, (1, 1, 1), -5): (22, 130)
(4, 1, 2, (1, 1, 1), -4): (40, 251)
(4, 1, 2, (1, 1, 1), -3): (85, 410)
(4, 1, 2, (1, 1, 1), -2): (221, 641)
(4, 1, 2, (1, 1, 1), -1): (467, 981)
(4, 1, 2, (1, 1, 1), 0): (910, 1499)
(4, 1, 2, (1, 1, 1), 1): (1003, 1378)
(4, 1, 2, (1, 1, 1), 2): (858, 1014)
(4, 1, 2, (1, 1, 1), 3): (666, 742)
(4, 1, 2, (1, 1, 1), 4): (514, 545)
(4, 1, 2, (1, 1, 1), 5): (352, 365)
(4, 1, 2, (1, 1, 1), 6): (192, 198)
(4, 1, 2, (1, 1, 1), 7): (124, 124)
(4, 1, 2, (1, 1, 1), 8): (78, 78)
(4, 1, 2, (1, 1, 1), 9): (44, 44)
(4, 1, 2, (1, 1, 1), 10): (23, 23)
(4, 1, 2, (1, 1, 1), 11): (14, 14)
(4, 1, 2, (1, 1, 1), 12): (8, 8)
(4, 1, 2, (1, 1, 1), 13): (3, 3)
(4, 1, 2, (1, 1, 1), 15): (2, 2)
(5, 0, 0, (0, 0, 0), -19): (0, 1)
(5, 0, 0, (0, 0, 0), -18): (0, 3)
(5, 0, 0, (0, 0, 0), -17): (0, 8)
(5, 0, 0, (0, 0, 0), -16): (0, 5)
(5, 0, 0, (0, 0, 0), -15): (0, 14)
(5, 0, 0, (0, 0, 0), -14): (0, 23)
(5, 0, 0, (0, 0, 0), -13): (0, 50)
(5, 0, 0, (0, 0, 0), -12): (0, 105)
(5, 0, 0, (0, 0, 0), -11): (2, 207)
(5, 0, 0, (0, 0, 0), -10): (1, 358)
(5, 0, 0, (0, 0, 0), -9): (3, 669)
(5, 0, 0, (0, 0, 0), -8): (13, 1111)
(5, 0, 0, (0, 0, 0), -7): (33, 1946)
(5, 0, 0, (0, 0, 0), -6): (96, 3248)
(5, 0, 0, (0, 0, 0), -5): (247, 5232)
(5, 0, 0, (0, 0, 0), -4): (666, 8554)
(5, 0, 0, (0, 0, 0), -3): (1795, 13649)
(5, 0, 0, (0, 0, 0), -2): (4249, 20240)
(5, 0, 0, (0, 0, 0), -1): (8815, 27395)
(5, 0, 0, (0, 0, 0), 0): (16789, 35441)
(5, 0, 0, (0, 0, 0), 1): (16410, 25973)
(5, 0, 0, (0, 0, 0), 2): (13571, 18121)
(5, 0, 0, (0, 0, 0), 3): (9898, 11808)
(5, 0, 0, (0, 0, 0), 4): (6501, 7174)
(5, 0, 0, (0, 0, 0), 5): (4123, 4390)
(5, 0, 0, (0, 0, 0), 6): (2465, 2566)
(5, 0, 0, (0, 0, 0), 7): (1448, 1483)
(5, 0, 0, (0, 0, 0), 8): (845, 860)
(5, 0, 0, (0, 0, 0), 9): (466, 470)
(5, 0, 0, (0, 0, 0), 10): (252, 253)
(5, 0, 0, (0, 0, 0), 11): (118, 118)
(5, 0, 0, (0, 0, 0), 12): (69, 69)
(5, 0, 0, (0, 0, 0), 13): (32, 32)
(5, 0, 0, (0, 0, 0), 14): (16, 16)
(5, 0, 0, (0, 0, 0), 15): (6, 6)
(5, 0, 0, (0, 0, 0), 16): (3, 3)
(5, 0, 0, (0, 0, 0), 17): (2, 2)
(5, 0, 0, (0, 0, 0), 18): (1, 1)
(5, 0, 0, (0, 0, 0), 23): (1, 1)
(5, 0, 0, (0, 0, 1), -17): (0, 1)
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(5, 0, 0, (0, 0, 1), -10): (0, 1)
(5, 0, 0, (0, 0, 1), -9): (0, 8)
(5, 0, 0, (0, 0, 1), -8): (0, 13)
(5, 0, 0, (0, 0, 1), -7): (2, 18)
(5, 0, 0, (0, 0, 1), -6): (0, 27)
(5, 0, 0, (0, 0, 1), -5): (6, 61)
(5, 0, 0, (0, 0, 1), -4): (13, 75)
(5, 0, 0, (0, 0, 1), -3): (27, 133)
(5, 0, 0, (0, 0, 1), -2): (65, 206)
(5, 0, 0, (0, 0, 1), -1): (128, 265)
(5, 0, 0, (0, 0, 1), 0): (265, 429)
(5, 0, 0, (0, 0, 1), 1): (277, 373)
(5, 0, 0, (0, 0, 1), 2): (260, 315)
(5, 0, 0, (0, 0, 1), 3): (199, 233)
(5, 0, 0, (0, 0, 1), 4): (158, 168)
(5, 0, 0, (0, 0, 1), 5): (79, 80)
(5, 0, 0, (0, 0, 1), 6): (48, 51)
(5, 0, 0, (0, 0, 1), 7): (33, 33)
(5, 0, 0, (0, 0, 1), 8): (21, 22)
(5, 0, 0, (0, 0, 1), 9): (6, 6)
(5, 0, 0, (0, 0, 1), 10): (9, 9)
(5, 0, 0, (0, 0, 1), 11): (1, 1)
(5, 0, 0, (0, 0, 1), 12): (4, 4)
(5, 0, 0, (0, 0, 1), 14): (1, 1)
(5, 0, 0, (0, 0, 1), 15): (1, 1)
(5, 0, 0, (0, 1, 0), -18): (0, 1)
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(5, 0, 0, (0, 1, 0), -15): (0, 1)
(5, 0, 0, (0, 1, 0), -13): (0, 1)
(5, 0, 0, (0, 1, 0), -12): (0, 4)
(5, 0, 0, (0, 1, 0), -11): (0, 15)
(5, 0, 0, (0, 1, 0), -10): (0, 22)
(5, 0, 0, (0, 1, 0), -9): (0, 50)
(5, 0, 0, (0, 1, 0), -8): (2, 64)
(5, 0, 0, (0, 1, 0), -7): (2, 105)
(5, 0, 0, (0, 1, 0), -6): (6, 164)
(5, 0, 0, (0, 1, 0), -5): (25, 291)
(5, 0, 0, (0, 1, 0), -4): (70, 506)
(5, 0, 0, (0, 1, 0), -3): (159, 814)
(5, 0, 0, (0, 1, 0), -2): (349, 1183)
(5, 0, 0, (0, 1, 0), -1): (732, 1770)
(5, 0, 0, (0, 1, 0), 0): (1354, 2397)
(5, 0, 0, (0, 1, 0), 1): (1316, 1832)
(5, 0, 0, (0, 1, 0), 2): (1137, 1397)
(5, 0, 0, (0, 1, 0), 3): (887, 1001)
(5, 0, 0, (0, 1, 0), 4): (622, 682)
(5, 0, 0, (0, 1, 0), 5): (366, 384)
(5, 0, 0, (0, 1, 0), 6): (234, 245)
(5, 0, 0, (0, 1, 0), 7): (131, 131)
(5, 0, 0, (0, 1, 0), 8): (75, 76)
(5, 0, 0, (0, 1, 0), 9): (46, 46)
(5, 0, 0, (0, 1, 0), 10): (19, 19)
(5, 0, 0, (0, 1, 0), 11): (18, 18)
(5, 0, 0, (0, 1, 0), 12): (5, 5)
(5, 0, 0, (0, 1, 0), 13): (2, 2)
(5, 0, 0, (0, 1, 0), 14): (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), -12): (0, 1)
(5, 0, 0, (0, 1, 1), -11): (0, 4)
(5, 0, 0, (0, 1, 1), -10): (0, 7)
(5, 0, 0, (0, 1, 1), -9): (0, 8)
(5, 0, 0, (0, 1, 1), -8): (0, 10)
(5, 0, 0, (0, 1, 1), -7): (0, 24)
(5, 0, 0, (0, 1, 1), -6): (2, 31)
(5, 0, 0, (0, 1, 1), -5): (8, 59)
(5, 0, 0, (0, 1, 1), -4): (14, 97)
(5, 0, 0, (0, 1, 1), -3): (52, 157)
(5, 0, 0, (0, 1, 1), -2): (92, 252)
(5, 0, 0, (0, 1, 1), -1): (185, 334)
(5, 0, 0, (0, 1, 1), 0): (279, 391)
(5, 0, 0, (0, 1, 1), 1): (273, 347)
(5, 0, 0, (0, 1, 1), 2): (267, 307)
(5, 0, 0, (0, 1, 1), 3): (215, 226)
(5, 0, 0, (0, 1, 1), 4): (143, 152)
(5, 0, 0, (0, 1, 1), 5): (93, 100)
(5, 0, 0, (0, 1, 1), 6): (60, 60)
(5, 0, 0, (0, 1, 1), 7): (35, 35)
(5, 0, 0, (0, 1, 1), 8): (23, 23)
(5, 0, 0, (0, 1, 1), 9): (14, 14)
(5, 0, 0, (0, 1, 1), 10): (8, 8)
(5, 0, 0, (0, 1, 1), 11): (2, 2)
(5, 0, 0, (1, 0, 0), -19): (0, 1)
(5, 0, 0, (1, 0, 0), -17): (0, 2)
(5, 0, 0, (1, 0, 0), -16): (0, 1)
(5, 0, 0, (1, 0, 0), -15): (0, 4)
(5, 0, 0, (1, 0, 0), -14): (0, 4)
(5, 0, 0, (1, 0, 0), -13): (0, 13)
(5, 0, 0, (1, 0, 0), -12): (0, 24)
(5, 0, 0, (1, 0, 0), -11): (1, 58)
(5, 0, 0, (1, 0, 0), -10): (0, 96)
(5, 0, 0, (1, 0, 0), -9): (1, 160)
(5, 0, 0, (1, 0, 0), -8): (7, 275)
(5, 0, 0, (1, 0, 0), -7): (12, 456)
(5, 0, 0, (1, 0, 0), -6): (33, 841)
(5, 0, 0, (1, 0, 0), -5): (81, 1337)
(5, 0, 0, (1, 0, 0), -4): (210, 2057)
(5, 0, 0, (1, 0, 0), -3): (577, 3381)
(5, 0, 0, (1, 0, 0), -2): (1277, 4982)
(5, 0, 0, (1, 0, 0), -1): (2597, 6830)
(5, 0, 0, (1, 0, 0), 0): (4584, 8729)
(5, 0, 0, (1, 0, 0), 1): (4225, 6264)
(5, 0, 0, (1, 0, 0), 2): (3646, 4666)
(5, 0, 0, (1, 0, 0), 3): (2778, 3262)
(5, 0, 0, (1, 0, 0), 4): (1819, 1995)
(5, 0, 0, (1, 0, 0), 5): (1121, 1177)
(5, 0, 0, (1, 0, 0), 6): (704, 732)
(5, 0, 0, (1, 0, 0), 7): (371, 378)
(5, 0, 0, (1, 0, 0), 8): (220, 221)
(5, 0, 0, (1, 0, 0), 9): (132, 133)
(5, 0, 0, (1, 0, 0), 10): (70, 70)
(5, 0, 0, (1, 0, 0), 11): (38, 38)
(5, 0, 0, (1, 0, 0), 12): (25, 25)
(5, 0, 0, (1, 0, 0), 13): (13, 13)
(5, 0, 0, (1, 0, 0), 14): (3, 3)
(5, 0, 0, (1, 0, 0), 15): (3, 3)
(5, 0, 0, (1, 0, 0), 17): (1, 1)
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(5, 0, 0, (1, 0, 1), -13): (0, 2)
(5, 0, 0, (1, 0, 1), -12): (0, 2)
(5, 0, 0, (1, 0, 1), -11): (0, 4)
(5, 0, 0, (1, 0, 1), -10): (0, 7)
(5, 0, 0, (1, 0, 1), -9): (0, 10)
(5, 0, 0, (1, 0, 1), -8): (2, 23)
(5, 0, 0, (1, 0, 1), -7): (2, 19)
(5, 0, 0, (1, 0, 1), -6): (4, 72)
(5, 0, 0, (1, 0, 1), -5): (15, 92)
(5, 0, 0, (1, 0, 1), -4): (23, 169)
(5, 0, 0, (1, 0, 1), -3): (61, 250)
(5, 0, 0, (1, 0, 1), -2): (150, 400)
(5, 0, 0, (1, 0, 1), -1): (270, 541)
(5, 0, 0, (1, 0, 1), 0): (510, 788)
(5, 0, 0, (1, 0, 1), 1): (483, 633)
(5, 0, 0, (1, 0, 1), 2): (411, 481)
(5, 0, 0, (1, 0, 1), 3): (350, 385)
(5, 0, 0, (1, 0, 1), 4): (247, 263)
(5, 0, 0, (1, 0, 1), 5): (128, 132)
(5, 0, 0, (1, 0, 1), 6): (88, 91)
(5, 0, 0, (1, 0, 1), 7): (51, 51)
(5, 0, 0, (1, 0, 1), 8): (32, 33)
(5, 0, 0, (1, 0, 1), 9): (12, 12)
(5, 0, 0, (1, 0, 1), 10): (9, 9)
(5, 0, 0, (1, 0, 1), 11): (6, 6)
(5, 0, 0, (1, 0, 1), 12): (5, 5)
(5, 0, 0, (1, 0, 1), 13): (2, 2)
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(5, 0, 0, (1, 1, 0), -15): (0, 1)
(5, 0, 0, (1, 1, 0), -14): (0, 3)
(5, 0, 0, (1, 1, 0), -13): (0, 1)
(5, 0, 0, (1, 1, 0), -12): (0, 6)
(5, 0, 0, (1, 1, 0), -11): (1, 16)
(5, 0, 0, (1, 1, 0), -10): (0, 20)
(5, 0, 0, (1, 1, 0), -9): (0, 44)
(5, 0, 0, (1, 1, 0), -8): (3, 70)
(5, 0, 0, (1, 1, 0), -7): (7, 110)
(5, 0, 0, (1, 1, 0), -6): (9, 205)
(5, 0, 0, (1, 1, 0), -5): (25, 325)
(5, 0, 0, (1, 1, 0), -4): (79, 533)
(5, 0, 0, (1, 1, 0), -3): (191, 834)
(5, 0, 0, (1, 1, 0), -2): (390, 1168)
(5, 0, 0, (1, 1, 0), -1): (645, 1373)
(5, 0, 0, (1, 1, 0), 0): (994, 1710)
(5, 0, 0, (1, 1, 0), 1): (951, 1293)
(5, 0, 0, (1, 1, 0), 2): (833, 1021)
(5, 0, 0, (1, 1, 0), 3): (680, 767)
(5, 0, 0, (1, 1, 0), 4): (482, 512)
(5, 0, 0, (1, 1, 0), 5): (295, 304)
(5, 0, 0, (1, 1, 0), 6): (208, 213)
(5, 0, 0, (1, 1, 0), 7): (114, 117)
(5, 0, 0, (1, 1, 0), 8): (76, 76)
(5, 0, 0, (1, 1, 0), 9): (47, 47)
(5, 0, 0, (1, 1, 0), 10): (23, 23)
(5, 0, 0, (1, 1, 0), 11): (14, 14)
(5, 0, 0, (1, 1, 0), 12): (10, 10)
(5, 0, 0, (1, 1, 0), 13): (4, 4)
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(5, 0, 0, (1, 1, 1), -11): (0, 4)
(5, 0, 0, (1, 1, 1), -10): (0, 4)
(5, 0, 0, (1, 1, 1), -9): (0, 4)
(5, 0, 0, (1, 1, 1), -8): (0, 15)
(5, 0, 0, (1, 1, 1), -7): (3, 22)
(5, 0, 0, (1, 1, 1), -6): (4, 42)
(5, 0, 0, (1, 1, 1), -5): (11, 76)
(5, 0, 0, (1, 1, 1), -4): (27, 113)
(5, 0, 0, (1, 1, 1), -3): (53, 166)
(5, 0, 0, (1, 1, 1), -2): (108, 241)
(5, 0, 0, (1, 1, 1), -1): (188, 301)
(5, 0, 0, (1, 1, 1), 0): (270, 392)
(5, 0, 0, (1, 1, 1), 1): (252, 297)
(5, 0, 0, (1, 1, 1), 2): (231, 269)
(5, 0, 0, (1, 1, 1), 3): (186, 199)
(5, 0, 0, (1, 1, 1), 4): (140, 148)
(5, 0, 0, (1, 1, 1), 5): (83, 86)
(5, 0, 0, (1, 1, 1), 6): (53, 54)
(5, 0, 0, (1, 1, 1), 7): (33, 34)
(5, 0, 0, (1, 1, 1), 8): (20, 20)
(5, 0, 0, (1, 1, 1), 9): (20, 20)
(5, 0, 0, (1, 1, 1), 10): (10, 10)
(5, 0, 0, (1, 1, 1), 11): (2, 2)
(5, 0, 0, (1, 1, 1), 12): (4, 4)
(5, 0, 0, (1, 1, 1), 13): (3, 3)
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(5, 0, 1, (0, 0, 0), -16): (0, 2)
(5, 0, 1, (0, 0, 0), -15): (0, 10)
(5, 0, 1, (0, 0, 0), -14): (0, 18)
(5, 0, 1, (0, 0, 0), -13): (0, 35)
(5, 0, 1, (0, 0, 0), -12): (0, 73)
(5, 0, 1, (0, 0, 0), -11): (0, 132)
(5, 0, 1, (0, 0, 0), -10): (1, 234)
(5, 0, 1, (0, 0, 0), -9): (2, 461)
(5, 0, 1, (0, 0, 0), -8): (5, 764)
(5, 0, 1, (0, 0, 0), -7): (17, 1378)
(5, 0, 1, (0, 0, 0), -6): (53, 2246)
(5, 0, 1, (0, 0, 0), -5): (133, 3568)
(5, 0, 1, (0, 0, 0), -4): (362, 6012)
(5, 0, 1, (0, 0, 0), -3): (1045, 9514)
(5, 0, 1, (0, 0, 0), -2): (2610, 14287)
(5, 0, 1, (0, 0, 0), -1): (5592, 19389)
(5, 0, 1, (0, 0, 0), 0): (11114, 25071)
(5, 0, 1, (0, 0, 0), 1): (11541, 19051)
(5, 0, 1, (0, 0, 0), 2): (9742, 13329)
(5, 0, 1, (0, 0, 0), 3): (7080, 8585)
(5, 0, 1, (0, 0, 0), 4): (4866, 5403)
(5, 0, 1, (0, 0, 0), 5): (3178, 3412)
(5, 0, 1, (0, 0, 0), 6): (1911, 1986)
(5, 0, 1, (0, 0, 0), 7): (1152, 1183)
(5, 0, 1, (0, 0, 0), 8): (694, 708)
(5, 0, 1, (0, 0, 0), 9): (357, 360)
(5, 0, 1, (0, 0, 0), 10): (198, 199)
(5, 0, 1, (0, 0, 0), 11): (102, 102)
(5, 0, 1, (0, 0, 0), 12): (50, 50)
(5, 0, 1, (0, 0, 0), 13): (30, 30)
(5, 0, 1, (0, 0, 0), 14): (19, 19)
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(5, 0, 1, (0, 0, 1), -10): (0, 12)
(5, 0, 1, (0, 0, 1), -9): (0, 18)
(5, 0, 1, (0, 0, 1), -8): (0, 25)
(5, 0, 1, (0, 0, 1), -7): (1, 52)
(5, 0, 1, (0, 0, 1), -6): (3, 74)
(5, 0, 1, (0, 0, 1), -5): (10, 142)
(5, 0, 1, (0, 0, 1), -4): (28, 224)
(5, 0, 1, (0, 0, 1), -3): (70, 389)
(5, 0, 1, (0, 0, 1), -2): (174, 627)
(5, 0, 1, (0, 0, 1), -1): (408, 1003)
(5, 0, 1, (0, 0, 1), 0): (829, 1494)
(5, 0, 1, (0, 0, 1), 1): (901, 1296)
(5, 0, 1, (0, 0, 1), 2): (806, 1024)
(5, 0, 1, (0, 0, 1), 3): (658, 782)
(5, 0, 1, (0, 0, 1), 4): (483, 521)
(5, 0, 1, (0, 0, 1), 5): (275, 293)
(5, 0, 1, (0, 0, 1), 6): (169, 178)
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(5, 0, 1, (0, 0, 1), 8): (62, 62)
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(5, 0, 1, (0, 1, 0), -11): (0, 18)
(5, 0, 1, (0, 1, 0), -10): (0, 34)
(5, 0, 1, (0, 1, 0), -9): (1, 64)
(5, 0, 1, (0, 1, 0), -8): (1, 105)
(5, 0, 1, (0, 1, 0), -7): (5, 153)
(5, 0, 1, (0, 1, 0), -6): (9, 284)
(5, 0, 1, (0, 1, 0), -5): (22, 451)
(5, 0, 1, (0, 1, 0), -4): (67, 744)
(5, 0, 1, (0, 1, 0), -3): (178, 1204)
(5, 0, 1, (0, 1, 0), -2): (454, 1961)
(5, 0, 1, (0, 1, 0), -1): (1109, 3164)
(5, 0, 1, (0, 1, 0), 0): (2314, 4532)
(5, 0, 1, (0, 1, 0), 1): (2473, 3731)
(5, 0, 1, (0, 1, 0), 2): (2287, 2992)
(5, 0, 1, (0, 1, 0), 3): (1705, 2012)
(5, 0, 1, (0, 1, 0), 4): (1183, 1307)
(5, 0, 1, (0, 1, 0), 5): (762, 804)
(5, 0, 1, (0, 1, 0), 6): (438, 457)
(5, 0, 1, (0, 1, 0), 7): (267, 271)
(5, 0, 1, (0, 1, 0), 8): (151, 154)
(5, 0, 1, (0, 1, 0), 9): (86, 86)
(5, 0, 1, (0, 1, 0), 10): (43, 43)
(5, 0, 1, (0, 1, 0), 11): (20, 20)
(5, 0, 1, (0, 1, 0), 12): (16, 16)
(5, 0, 1, (0, 1, 0), 13): (11, 11)
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(5, 0, 1, (0, 1, 1), -9): (0, 21)
(5, 0, 1, (0, 1, 1), -8): (0, 26)
(5, 0, 1, (0, 1, 1), -7): (1, 54)
(5, 0, 1, (0, 1, 1), -6): (1, 92)
(5, 0, 1, (0, 1, 1), -5): (17, 128)
(5, 0, 1, (0, 1, 1), -4): (24, 191)
(5, 0, 1, (0, 1, 1), -3): (91, 350)
(5, 0, 1, (0, 1, 1), -2): (195, 662)
(5, 0, 1, (0, 1, 1), -1): (387, 864)
(5, 0, 1, (0, 1, 1), 0): (695, 1108)
(5, 0, 1, (0, 1, 1), 1): (736, 1012)
(5, 0, 1, (0, 1, 1), 2): (668, 813)
(5, 0, 1, (0, 1, 1), 3): (605, 673)
(5, 0, 1, (0, 1, 1), 4): (413, 447)
(5, 0, 1, (0, 1, 1), 5): (295, 307)
(5, 0, 1, (0, 1, 1), 6): (167, 175)
(5, 0, 1, (0, 1, 1), 7): (89, 90)
(5, 0, 1, (0, 1, 1), 8): (62, 63)
(5, 0, 1, (0, 1, 1), 9): (34, 34)
(5, 0, 1, (0, 1, 1), 10): (26, 26)
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(5, 0, 1, (0, 1, 1), 12): (9, 9)
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(5, 0, 1, (1, 0, 0), -13): (0, 14)
(5, 0, 1, (1, 0, 0), -12): (0, 29)
(5, 0, 1, (1, 0, 0), -11): (0, 70)
(5, 0, 1, (1, 0, 0), -10): (1, 85)
(5, 0, 1, (1, 0, 0), -9): (2, 207)
(5, 0, 1, (1, 0, 0), -8): (3, 296)
(5, 0, 1, (1, 0, 0), -7): (11, 548)
(5, 0, 1, (1, 0, 0), -6): (31, 992)
(5, 0, 1, (1, 0, 0), -5): (68, 1514)
(5, 0, 1, (1, 0, 0), -4): (178, 2445)
(5, 0, 1, (1, 0, 0), -3): (483, 3861)
(5, 0, 1, (1, 0, 0), -2): (1231, 5780)
(5, 0, 1, (1, 0, 0), -1): (2480, 7591)
(5, 0, 1, (1, 0, 0), 0): (4737, 9775)
(5, 0, 1, (1, 0, 0), 1): (4772, 7515)
(5, 0, 1, (1, 0, 0), 2): (4270, 5622)
(5, 0, 1, (1, 0, 0), 3): (3230, 3908)
(5, 0, 1, (1, 0, 0), 4): (2327, 2594)
(5, 0, 1, (1, 0, 0), 5): (1495, 1586)
(5, 0, 1, (1, 0, 0), 6): (920, 954)
(5, 0, 1, (1, 0, 0), 7): (519, 532)
(5, 0, 1, (1, 0, 0), 8): (326, 332)
(5, 0, 1, (1, 0, 0), 9): (191, 193)
(5, 0, 1, (1, 0, 0), 10): (99, 100)
(5, 0, 1, (1, 0, 0), 11): (56, 56)
(5, 0, 1, (1, 0, 0), 12): (29, 29)
(5, 0, 1, (1, 0, 0), 13): (18, 18)
(5, 0, 1, (1, 0, 0), 14): (10, 10)
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(5, 0, 1, (1, 0, 1), -11): (0, 4)
(5, 0, 1, (1, 0, 1), -10): (0, 8)
(5, 0, 1, (1, 0, 1), -9): (0, 28)
(5, 0, 1, (1, 0, 1), -8): (3, 37)
(5, 0, 1, (1, 0, 1), -7): (3, 68)
(5, 0, 1, (1, 0, 1), -6): (6, 118)
(5, 0, 1, (1, 0, 1), -5): (12, 204)
(5, 0, 1, (1, 0, 1), -4): (33, 312)
(5, 0, 1, (1, 0, 1), -3): (93, 514)
(5, 0, 1, (1, 0, 1), -2): (239, 772)
(5, 0, 1, (1, 0, 1), -1): (473, 1075)
(5, 0, 1, (1, 0, 1), 0): (889, 1533)
(5, 0, 1, (1, 0, 1), 1): (943, 1302)
(5, 0, 1, (1, 0, 1), 2): (882, 1092)
(5, 0, 1, (1, 0, 1), 3): (726, 841)
(5, 0, 1, (1, 0, 1), 4): (526, 572)
(5, 0, 1, (1, 0, 1), 5): (333, 345)
(5, 0, 1, (1, 0, 1), 6): (236, 241)
(5, 0, 1, (1, 0, 1), 7): (111, 112)
(5, 0, 1, (1, 0, 1), 8): (80, 80)
(5, 0, 1, (1, 0, 1), 9): (42, 43)
(5, 0, 1, (1, 0, 1), 10): (18, 18)
(5, 0, 1, (1, 0, 1), 11): (22, 23)
(5, 0, 1, (1, 0, 1), 12): (7, 7)
(5, 0, 1, (1, 0, 1), 13): (5, 5)
(5, 0, 1, (1, 0, 1), 18): (1, 1)
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(5, 0, 1, (1, 1, 0), -16): (0, 1)
(5, 0, 1, (1, 1, 0), -14): (0, 3)
(5, 0, 1, (1, 1, 0), -13): (0, 6)
(5, 0, 1, (1, 1, 0), -12): (0, 15)
(5, 0, 1, (1, 1, 0), -11): (0, 23)
(5, 0, 1, (1, 1, 0), -10): (1, 38)
(5, 0, 1, (1, 1, 0), -9): (1, 64)
(5, 0, 1, (1, 1, 0), -8): (4, 114)
(5, 0, 1, (1, 1, 0), -7): (8, 196)
(5, 0, 1, (1, 1, 0), -6): (14, 329)
(5, 0, 1, (1, 1, 0), -5): (25, 514)
(5, 0, 1, (1, 1, 0), -4): (85, 849)
(5, 0, 1, (1, 1, 0), -3): (228, 1283)
(5, 0, 1, (1, 1, 0), -2): (470, 1760)
(5, 0, 1, (1, 1, 0), -1): (879, 2310)
(5, 0, 1, (1, 1, 0), 0): (1548, 2972)
(5, 0, 1, (1, 1, 0), 1): (1760, 2572)
(5, 0, 1, (1, 1, 0), 2): (1623, 2074)
(5, 0, 1, (1, 1, 0), 3): (1284, 1513)
(5, 0, 1, (1, 1, 0), 4): (908, 1014)
(5, 0, 1, (1, 1, 0), 5): (648, 682)
(5, 0, 1, (1, 1, 0), 6): (394, 414)
(5, 0, 1, (1, 1, 0), 7): (234, 239)
(5, 0, 1, (1, 1, 0), 8): (137, 140)
(5, 0, 1, (1, 1, 0), 9): (94, 94)
(5, 0, 1, (1, 1, 0), 10): (58, 59)
(5, 0, 1, (1, 1, 0), 11): (21, 21)
(5, 0, 1, (1, 1, 0), 12): (16, 16)
(5, 0, 1, (1, 1, 0), 13): (5, 5)
(5, 0, 1, (1, 1, 0), 14): (2, 2)
(5, 0, 1, (1, 1, 0), 15): (2, 2)
(5, 0, 1, (1, 1, 0), 17): (1, 1)
(5, 0, 1, (1, 1, 1), -14): (0, 2)
(5, 0, 1, (1, 1, 1), -13): (0, 3)
(5, 0, 1, (1, 1, 1), -12): (0, 5)
(5, 0, 1, (1, 1, 1), -11): (0, 6)
(5, 0, 1, (1, 1, 1), -10): (1, 7)
(5, 0, 1, (1, 1, 1), -9): (0, 16)
(5, 0, 1, (1, 1, 1), -8): (1, 36)
(5, 0, 1, (1, 1, 1), -7): (2, 48)
(5, 0, 1, (1, 1, 1), -6): (4, 73)
(5, 0, 1, (1, 1, 1), -5): (11, 138)
(5, 0, 1, (1, 1, 1), -4): (33, 203)
(5, 0, 1, (1, 1, 1), -3): (87, 326)
(5, 0, 1, (1, 1, 1), -2): (154, 451)
(5, 0, 1, (1, 1, 1), -1): (316, 660)
(5, 0, 1, (1, 1, 1), 0): (581, 957)
(5, 0, 1, (1, 1, 1), 1): (665, 897)
(5, 0, 1, (1, 1, 1), 2): (694, 834)
(5, 0, 1, (1, 1, 1), 3): (593, 657)
(5, 0, 1, (1, 1, 1), 4): (401, 432)
(5, 0, 1, (1, 1, 1), 5): (256, 272)
(5, 0, 1, (1, 1, 1), 6): (167, 173)
(5, 0, 1, (1, 1, 1), 7): (95, 96)
(5, 0, 1, (1, 1, 1), 8): (48, 48)
(5, 0, 1, (1, 1, 1), 9): (37, 37)
(5, 0, 1, (1, 1, 1), 10): (22, 22)
(5, 0, 1, (1, 1, 1), 11): (10, 10)
(5, 0, 1, (1, 1, 1), 12): (8, 8)
(5, 0, 1, (1, 1, 1), 13): (5, 5)
(5, 0, 1, (1, 1, 1), 14): (2, 2)
(5, 0, 2, (0, 0, 0), -18): (0, 1)
(5, 0, 2, (0, 0, 0), -17): (0, 2)
(5, 0, 2, (0, 0, 0), -16): (0, 3)
(5, 0, 2, (0, 0, 0), -15): (0, 10)
(5, 0, 2, (0, 0, 0), -14): (0, 15)
(5, 0, 2, (0, 0, 0), -13): (0, 25)
(5, 0, 2, (0, 0, 0), -12): (0, 54)
(5, 0, 2, (0, 0, 0), -11): (0, 93)
(5, 0, 2, (0, 0, 0), -10): (0, 191)
(5, 0, 2, (0, 0, 0), -9): (1, 338)
(5, 0, 2, (0, 0, 0), -8): (3, 608)
(5, 0, 2, (0, 0, 0), -7): (9, 1051)
(5, 0, 2, (0, 0, 0), -6): (32, 1676)
(5, 0, 2, (0, 0, 0), -5): (94, 2738)
(5, 0, 2, (0, 0, 0), -4): (263, 4592)
(5, 0, 2, (0, 0, 0), -3): (763, 7384)
(5, 0, 2, (0, 0, 0), -2): (1818, 11089)
(5, 0, 2, (0, 0, 0), -1): (4078, 15223)
(5, 0, 2, (0, 0, 0), 0): (8218, 19529)
(5, 0, 2, (0, 0, 0), 1): (9032, 15354)
(5, 0, 2, (0, 0, 0), 2): (7806, 10857)
(5, 0, 2, (0, 0, 0), 3): (5873, 7192)
(5, 0, 2, (0, 0, 0), 4): (4137, 4654)
(5, 0, 2, (0, 0, 0), 5): (2890, 3119)
(5, 0, 2, (0, 0, 0), 6): (1742, 1813)
(5, 0, 2, (0, 0, 0), 7): (1062, 1090)
(5, 0, 2, (0, 0, 0), 8): (630, 640)
(5, 0, 2, (0, 0, 0), 9): (339, 343)
(5, 0, 2, (0, 0, 0), 10): (210, 211)
(5, 0, 2, (0, 0, 0), 11): (117, 117)
(5, 0, 2, (0, 0, 0), 12): (63, 63)
(5, 0, 2, (0, 0, 0), 13): (50, 50)
(5, 0, 2, (0, 0, 0), 14): (22, 22)
(5, 0, 2, (0, 0, 0), 15): (7, 7)
(5, 0, 2, (0, 0, 0), 16): (4, 4)
(5, 0, 2, (0, 0, 0), 17): (3, 3)
(5, 0, 2, (0, 0, 0), 18): (2, 2)
(5, 0, 2, (0, 0, 0), 19): (1, 1)
(5, 0, 2, (0, 0, 0), 23): (1, 1)
(5, 0, 2, (0, 0, 1), -15): (0, 1)
(5, 0, 2, (0, 0, 1), -14): (0, 1)
(5, 0, 2, (0, 0, 1), -13): (0, 4)
(5, 0, 2, (0, 0, 1), -12): (0, 3)
(5, 0, 2, (0, 0, 1), -11): (1, 8)
(5, 0, 2, (0, 0, 1), -10): (0, 14)
(5, 0, 2, (0, 0, 1), -9): (1, 27)
(5, 0, 2, (0, 0, 1), -8): (0, 48)
(5, 0, 2, (0, 0, 1), -7): (0, 79)
(5, 0, 2, (0, 0, 1), -6): (6, 123)
(5, 0, 2, (0, 0, 1), -5): (7, 227)
(5, 0, 2, (0, 0, 1), -4): (32, 362)
(5, 0, 2, (0, 0, 1), -3): (64, 581)
(5, 0, 2, (0, 0, 1), -2): (188, 965)
(5, 0, 2, (0, 0, 1), -1): (491, 1583)
(5, 0, 2, (0, 0, 1), 0): (959, 2060)
(5, 0, 2, (0, 0, 1), 1): (1157, 1863)
(5, 0, 2, (0, 0, 1), 2): (1181, 1588)
(5, 0, 2, (0, 0, 1), 3): (936, 1148)
(5, 0, 2, (0, 0, 1), 4): (687, 757)
(5, 0, 2, (0, 0, 1), 5): (451, 489)
(5, 0, 2, (0, 0, 1), 6): (279, 289)
(5, 0, 2, (0, 0, 1), 7): (182, 186)
(5, 0, 2, (0, 0, 1), 8): (106, 106)
(5, 0, 2, (0, 0, 1), 9): (41, 41)
(5, 0, 2, (0, 0, 1), 10): (38, 38)
(5, 0, 2, (0, 0, 1), 11): (23, 23)
(5, 0, 2, (0, 0, 1), 12): (7, 7)
(5, 0, 2, (0, 0, 1), 13): (9, 9)
(5, 0, 2, (0, 0, 1), 14): (3, 3)
(5, 0, 2, (0, 0, 1), 15): (1, 1)
(5, 0, 2, (0, 0, 1), 16): (3, 3)
(5, 0, 2, (0, 1, 0), -18): (0, 2)
(5, 0, 2, (0, 1, 0), -17): (0, 2)
(5, 0, 2, (0, 1, 0), -16): (0, 2)
(5, 0, 2, (0, 1, 0), -15): (0, 1)
(5, 0, 2, (0, 1, 0), -14): (0, 3)
(5, 0, 2, (0, 1, 0), -13): (0, 5)
(5, 0, 2, (0, 1, 0), -12): (0, 5)
(5, 0, 2, (0, 1, 0), -11): (0, 23)
(5, 0, 2, (0, 1, 0), -10): (0, 37)
(5, 0, 2, (0, 1, 0), -9): (0, 63)
(5, 0, 2, (0, 1, 0), -8): (1, 126)
(5, 0, 2, (0, 1, 0), -7): (8, 197)
(5, 0, 2, (0, 1, 0), -6): (13, 363)
(5, 0, 2, (0, 1, 0), -5): (15, 545)
(5, 0, 2, (0, 1, 0), -4): (68, 959)
(5, 0, 2, (0, 1, 0), -3): (194, 1537)
(5, 0, 2, (0, 1, 0), -2): (508, 2542)
(5, 0, 2, (0, 1, 0), -1): (1250, 3982)
(5, 0, 2, (0, 1, 0), 0): (2511, 5479)
(5, 0, 2, (0, 1, 0), 1): (2930, 4746)
(5, 0, 2, (0, 1, 0), 2): (2663, 3653)
(5, 0, 2, (0, 1, 0), 3): (2161, 2605)
(5, 0, 2, (0, 1, 0), 4): (1569, 1767)
(5, 0, 2, (0, 1, 0), 5): (1151, 1233)
(5, 0, 2, (0, 1, 0), 6): (682, 703)
(5, 0, 2, (0, 1, 0), 7): (427, 438)
(5, 0, 2, (0, 1, 0), 8): (246, 254)
(5, 0, 2, (0, 1, 0), 9): (139, 141)
(5, 0, 2, (0, 1, 0), 10): (70, 70)
(5, 0, 2, (0, 1, 0), 11): (49, 49)
(5, 0, 2, (0, 1, 0), 12): (37, 38)
(5, 0, 2, (0, 1, 0), 13): (17, 17)
(5, 0, 2, (0, 1, 0), 14): (6, 6)
(5, 0, 2, (0, 1, 0), 15): (11, 11)
(5, 0, 2, (0, 1, 0), 16): (1, 1)
(5, 0, 2, (0, 1, 0), 17): (3, 3)
(5, 0, 2, (0, 1, 0), 19): (1, 1)
(5, 0, 2, (0, 1, 0), 22): (1, 1)
(5, 0, 2, (0, 1, 1), -13): (0, 3)
(5, 0, 2, (0, 1, 1), -12): (0, 1)
(5, 0, 2, (0, 1, 1), -11): (0, 10)
(5, 0, 2, (0, 1, 1), -10): (0, 12)
(5, 0, 2, (0, 1, 1), -9): (0, 14)
(5, 0, 2, (0, 1, 1), -8): (1, 26)
(5, 0, 2, (0, 1, 1), -7): (1, 53)
(5, 0, 2, (0, 1, 1), -6): (2, 115)
(5, 0, 2, (0, 1, 1), -5): (3, 148)
(5, 0, 2, (0, 1, 1), -4): (22, 229)
(5, 0, 2, (0, 1, 1), -3): (71, 422)
(5, 0, 2, (0, 1, 1), -2): (168, 668)
(5, 0, 2, (0, 1, 1), -1): (307, 869)
(5, 0, 2, (0, 1, 1), 0): (553, 1121)
(5, 0, 2, (0, 1, 1), 1): (692, 1052)
(5, 0, 2, (0, 1, 1), 2): (689, 906)
(5, 0, 2, (0, 1, 1), 3): (586, 686)
(5, 0, 2, (0, 1, 1), 4): (463, 514)
(5, 0, 2, (0, 1, 1), 5): (298, 318)
(5, 0, 2, (0, 1, 1), 6): (196, 204)
(5, 0, 2, (0, 1, 1), 7): (115, 117)
(5, 0, 2, (0, 1, 1), 8): (82, 83)
(5, 0, 2, (0, 1, 1), 9): (49, 49)
(5, 0, 2, (0, 1, 1), 10): (26, 26)
(5, 0, 2, (0, 1, 1), 11): (9, 9)
(5, 0, 2, (0, 1, 1), 12): (7, 7)
(5, 0, 2, (0, 1, 1), 13): (6, 6)
(5, 0, 2, (0, 1, 1), 14): (3, 3)
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(5, 0, 2, (0, 1, 1), 16): (1, 1)
(5, 0, 2, (0, 1, 1), 23): (1, 1)
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(5, 0, 2, (1, 0, 0), -16): (0, 1)
(5, 0, 2, (1, 0, 0), -15): (0, 3)
(5, 0, 2, (1, 0, 0), -14): (0, 9)
(5, 0, 2, (1, 0, 0), -13): (0, 7)
(5, 0, 2, (1, 0, 0), -12): (0, 35)
(5, 0, 2, (1, 0, 0), -11): (0, 60)
(5, 0, 2, (1, 0, 0), -10): (0, 88)
(5, 0, 2, (1, 0, 0), -9): (1, 190)
(5, 0, 2, (1, 0, 0), -8): (2, 305)
(5, 0, 2, (1, 0, 0), -7): (3, 545)
(5, 0, 2, (1, 0, 0), -6): (20, 917)
(5, 0, 2, (1, 0, 0), -5): (64, 1444)
(5, 0, 2, (1, 0, 0), -4): (135, 2427)
(5, 0, 2, (1, 0, 0), -3): (418, 3767)
(5, 0, 2, (1, 0, 0), -2): (1023, 5642)
(5, 0, 2, (1, 0, 0), -1): (2108, 7386)
(5, 0, 2, (1, 0, 0), 0): (4208, 9395)
(5, 0, 2, (1, 0, 0), 1): (4748, 7821)
(5, 0, 2, (1, 0, 0), 2): (4318, 5930)
(5, 0, 2, (1, 0, 0), 3): (3400, 4166)
(5, 0, 2, (1, 0, 0), 4): (2556, 2854)
(5, 0, 2, (1, 0, 0), 5): (1710, 1840)
(5, 0, 2, (1, 0, 0), 6): (1108, 1158)
(5, 0, 2, (1, 0, 0), 7): (688, 704)
(5, 0, 2, (1, 0, 0), 8): (411, 417)
(5, 0, 2, (1, 0, 0), 9): (253, 256)
(5, 0, 2, (1, 0, 0), 10): (141, 143)
(5, 0, 2, (1, 0, 0), 11): (84, 84)
(5, 0, 2, (1, 0, 0), 12): (38, 38)
(5, 0, 2, (1, 0, 0), 13): (24, 24)
(5, 0, 2, (1, 0, 0), 14): (19, 19)
(5, 0, 2, (1, 0, 0), 15): (6, 6)
(5, 0, 2, (1, 0, 0), 16): (8, 8)
(5, 0, 2, (1, 0, 0), 17): (3, 3)
(5, 0, 2, (1, 0, 0), 18): (2, 2)
(5, 0, 2, (1, 0, 0), 19): (1, 1)
(5, 0, 2, (1, 0, 0), 23): (1, 1)
(5, 0, 2, (1, 0, 1), -15): (0, 1)
(5, 0, 2, (1, 0, 1), -13): (0, 2)
(5, 0, 2, (1, 0, 1), -12): (0, 3)
(5, 0, 2, (1, 0, 1), -11): (0, 8)
(5, 0, 2, (1, 0, 1), -10): (0, 15)
(5, 0, 2, (1, 0, 1), -9): (1, 22)
(5, 0, 2, (1, 0, 1), -8): (1, 42)
(5, 0, 2, (1, 0, 1), -7): (3, 93)
(5, 0, 2, (1, 0, 1), -6): (3, 143)
(5, 0, 2, (1, 0, 1), -5): (11, 235)
(5, 0, 2, (1, 0, 1), -4): (28, 400)
(5, 0, 2, (1, 0, 1), -3): (94, 627)
(5, 0, 2, (1, 0, 1), -2): (215, 927)
(5, 0, 2, (1, 0, 1), -1): (439, 1324)
(5, 0, 2, (1, 0, 1), 0): (890, 1850)
(5, 0, 2, (1, 0, 1), 1): (1058, 1665)
(5, 0, 2, (1, 0, 1), 2): (1027, 1373)
(5, 0, 2, (1, 0, 1), 3): (920, 1107)
(5, 0, 2, (1, 0, 1), 4): (742, 818)
(5, 0, 2, (1, 0, 1), 5): (456, 485)
(5, 0, 2, (1, 0, 1), 6): (295, 308)
(5, 0, 2, (1, 0, 1), 7): (215, 222)
(5, 0, 2, (1, 0, 1), 8): (108, 108)
(5, 0, 2, (1, 0, 1), 9): (76, 77)
(5, 0, 2, (1, 0, 1), 10): (46, 47)
(5, 0, 2, (1, 0, 1), 11): (35, 35)
(5, 0, 2, (1, 0, 1), 12): (5, 5)
(5, 0, 2, (1, 0, 1), 13): (2, 2)
(5, 0, 2, (1, 0, 1), 14): (3, 3)
(5, 0, 2, (1, 0, 1), 15): (4, 4)
(5, 0, 2, (1, 0, 1), 18): (1, 1)
(5, 0, 2, (1, 0, 1), 19): (1, 1)
(5, 0, 2, (1, 1, 0), -17): (0, 2)
(5, 0, 2, (1, 1, 0), -13): (0, 4)
(5, 0, 2, (1, 1, 0), -12): (0, 9)
(5, 0, 2, (1, 1, 0), -11): (0, 21)
(5, 0, 2, (1, 1, 0), -10): (0, 28)
(5, 0, 2, (1, 1, 0), -9): (0, 69)
(5, 0, 2, (1, 1, 0), -8): (1, 102)
(5, 0, 2, (1, 1, 0), -7): (5, 215)
(5, 0, 2, (1, 1, 0), -6): (19, 353)
(5, 0, 2, (1, 1, 0), -5): (23, 564)
(5, 0, 2, (1, 1, 0), -4): (86, 974)
(5, 0, 2, (1, 1, 0), -3): (175, 1466)
(5, 0, 2, (1, 1, 0), -2): (443, 2107)
(5, 0, 2, (1, 1, 0), -1): (935, 2922)
(5, 0, 2, (1, 1, 0), 0): (1818, 3830)
(5, 0, 2, (1, 1, 0), 1): (2151, 3382)
(5, 0, 2, (1, 1, 0), 2): (2030, 2766)
(5, 0, 2, (1, 1, 0), 3): (1769, 2122)
(5, 0, 2, (1, 1, 0), 4): (1318, 1483)
(5, 0, 2, (1, 1, 0), 5): (916, 978)
(5, 0, 2, (1, 1, 0), 6): (580, 607)
(5, 0, 2, (1, 1, 0), 7): (328, 339)
(5, 0, 2, (1, 1, 0), 8): (242, 244)
(5, 0, 2, (1, 1, 0), 9): (146, 146)
(5, 0, 2, (1, 1, 0), 10): (86, 86)
(5, 0, 2, (1, 1, 0), 11): (46, 46)
(5, 0, 2, (1, 1, 0), 12): (34, 34)
(5, 0, 2, (1, 1, 0), 13): (17, 17)
(5, 0, 2, (1, 1, 0), 14): (3, 3)
(5, 0, 2, (1, 1, 0), 15): (3, 3)
(5, 0, 2, (1, 1, 0), 16): (4, 4)
(5, 0, 2, (1, 1, 0), 17): (3, 3)
(5, 0, 2, (1, 1, 0), 18): (2, 2)
(5, 0, 2, (1, 1, 0), 20): (1, 1)
(5, 0, 2, (1, 1, 0), 23): (1, 1)
(5, 0, 2, (1, 1, 1), -15): (0, 1)
(5, 0, 2, (1, 1, 1), -13): (0, 2)
(5, 0, 2, (1, 1, 1), -12): (0, 1)
(5, 0, 2, (1, 1, 1), -11): (0, 4)
(5, 0, 2, (1, 1, 1), -10): (0, 16)
(5, 0, 2, (1, 1, 1), -9): (0, 15)
(5, 0, 2, (1, 1, 1), -8): (0, 25)
(5, 0, 2, (1, 1, 1), -7): (0, 57)
(5, 0, 2, (1, 1, 1), -6): (9, 85)
(5, 0, 2, (1, 1, 1), -5): (7, 151)
(5, 0, 2, (1, 1, 1), -4): (24, 261)
(5, 0, 2, (1, 1, 1), -3): (63, 400)
(5, 0, 2, (1, 1, 1), -2): (162, 635)
(5, 0, 2, (1, 1, 1), -1): (275, 853)
(5, 0, 2, (1, 1, 1), 0): (609, 1193)
(5, 0, 2, (1, 1, 1), 1): (710, 1068)
(5, 0, 2, (1, 1, 1), 2): (707, 935)
(5, 0, 2, (1, 1, 1), 3): (628, 735)
(5, 0, 2, (1, 1, 1), 4): (523, 563)
(5, 0, 2, (1, 1, 1), 5): (329, 351)
(5, 0, 2, (1, 1, 1), 6): (211, 220)
(5, 0, 2, (1, 1, 1), 7): (119, 119)
(5, 0, 2, (1, 1, 1), 8): (75, 77)
(5, 0, 2, (1, 1, 1), 9): (52, 52)
(5, 0, 2, (1, 1, 1), 10): (33, 33)
(5, 0, 2, (1, 1, 1), 11): (20, 20)
(5, 0, 2, (1, 1, 1), 12): (6, 6)
(5, 0, 2, (1, 1, 1), 13): (7, 7)
(5, 0, 2, (1, 1, 1), 14): (2, 2)
(5, 0, 2, (1, 1, 1), 15): (1, 1)
(5, 1, 0, (0, 0, 0), -23): (0, 1)
(5, 1, 0, (0, 0, 0), -22): (0, 1)
(5, 1, 0, (0, 0, 0), -19): (0, 2)
(5, 1, 0, (0, 0, 0), -18): (0, 4)
(5, 1, 0, (0, 0, 0), -17): (0, 5)
(5, 1, 0, (0, 0, 0), -16): (0, 12)
(5, 1, 0, (0, 0, 0), -15): (0, 22)
(5, 1, 0, (0, 0, 0), -14): (0, 35)
(5, 1, 0, (0, 0, 0), -13): (0, 96)
(5, 1, 0, (0, 0, 0), -12): (1, 141)
(5, 1, 0, (0, 0, 0), -11): (0, 259)
(5, 1, 0, (0, 0, 0), -10): (2, 414)
(5, 1, 0, (0, 0, 0), -9): (7, 751)
(5, 1, 0, (0, 0, 0), -8): (24, 1380)
(5, 1, 0, (0, 0, 0), -7): (66, 2299)
(5, 1, 0, (0, 0, 0), -6): (169, 3826)
(5, 1, 0, (0, 0, 0), -5): (487, 6275)
(5, 1, 0, (0, 0, 0), -4): (1074, 9342)
(5, 1, 0, (0, 0, 0), -3): (2643, 13667)
(5, 1, 0, (0, 0, 0), -2): (5702, 19685)
(5, 1, 0, (0, 0, 0), -1): (11049, 26234)
(5, 1, 0, (0, 0, 0), 0): (18916, 32012)
(5, 1, 0, (0, 0, 0), 1): (18722, 25123)
(5, 1, 0, (0, 0, 0), 2): (15456, 18295)
(5, 1, 0, (0, 0, 0), 3): (11141, 12267)
(5, 1, 0, (0, 0, 0), 4): (7448, 7842)
(5, 1, 0, (0, 0, 0), 5): (4669, 4814)
(5, 1, 0, (0, 0, 0), 6): (2992, 3048)
(5, 1, 0, (0, 0, 0), 7): (1806, 1824)
(5, 1, 0, (0, 0, 0), 8): (1024, 1030)
(5, 1, 0, (0, 0, 0), 9): (597, 601)
(5, 1, 0, (0, 0, 0), 10): (339, 339)
(5, 1, 0, (0, 0, 0), 11): (176, 176)
(5, 1, 0, (0, 0, 0), 12): (89, 89)
(5, 1, 0, (0, 0, 0), 13): (44, 44)
(5, 1, 0, (0, 0, 0), 14): (24, 24)
(5, 1, 0, (0, 0, 0), 15): (14, 14)
(5, 1, 0, (0, 0, 0), 16): (7, 7)
(5, 1, 0, (0, 0, 0), 17): (6, 6)
(5, 1, 0, (0, 0, 0), 18): (3, 3)
(5, 1, 0, (0, 0, 1), -13): (0, 1)
(5, 1, 0, (0, 0, 1), -10): (0, 4)
(5, 1, 0, (0, 0, 1), -9): (0, 11)
(5, 1, 0, (0, 0, 1), -8): (2, 18)
(5, 1, 0, (0, 0, 1), -7): (0, 19)
(5, 1, 0, (0, 0, 1), -6): (2, 37)
(5, 1, 0, (0, 0, 1), -5): (6, 64)
(5, 1, 0, (0, 0, 1), -4): (20, 76)
(5, 1, 0, (0, 0, 1), -3): (52, 158)
(5, 1, 0, (0, 0, 1), -2): (84, 224)
(5, 1, 0, (0, 0, 1), -1): (194, 355)
(5, 1, 0, (0, 0, 1), 0): (338, 478)
(5, 1, 0, (0, 0, 1), 1): (393, 463)
(5, 1, 0, (0, 0, 1), 2): (310, 348)
(5, 1, 0, (0, 0, 1), 3): (257, 270)
(5, 1, 0, (0, 0, 1), 4): (170, 176)
(5, 1, 0, (0, 0, 1), 5): (110, 112)
(5, 1, 0, (0, 0, 1), 6): (81, 82)
(5, 1, 0, (0, 0, 1), 7): (31, 31)
(5, 1, 0, (0, 0, 1), 8): (32, 32)
(5, 1, 0, (0, 0, 1), 9): (9, 9)
(5, 1, 0, (0, 0, 1), 10): (9, 9)
(5, 1, 0, (0, 0, 1), 11): (5, 5)
(5, 1, 0, (0, 0, 1), 12): (3, 3)
(5, 1, 0, (0, 0, 1), 13): (4, 4)
(5, 1, 0, (0, 0, 1), 15): (1, 1)
(5, 1, 0, (0, 1, 0), -22): (0, 1)
(5, 1, 0, (0, 1, 0), -16): (0, 1)
(5, 1, 0, (0, 1, 0), -15): (0, 2)
(5, 1, 0, (0, 1, 0), -14): (0, 5)
(5, 1, 0, (0, 1, 0), -13): (0, 6)
(5, 1, 0, (0, 1, 0), -12): (0, 8)
(5, 1, 0, (0, 1, 0), -11): (0, 17)
(5, 1, 0, (0, 1, 0), -10): (0, 34)
(5, 1, 0, (0, 1, 0), -9): (1, 34)
(5, 1, 0, (0, 1, 0), -8): (3, 79)
(5, 1, 0, (0, 1, 0), -7): (7, 132)
(5, 1, 0, (0, 1, 0), -6): (14, 219)
(5, 1, 0, (0, 1, 0), -5): (37, 357)
(5, 1, 0, (0, 1, 0), -4): (116, 558)
(5, 1, 0, (0, 1, 0), -3): (235, 876)
(5, 1, 0, (0, 1, 0), -2): (462, 1289)
(5, 1, 0, (0, 1, 0), -1): (924, 1791)
(5, 1, 0, (0, 1, 0), 0): (1489, 2221)
(5, 1, 0, (0, 1, 0), 1): (1465, 1831)
(5, 1, 0, (0, 1, 0), 2): (1357, 1538)
(5, 1, 0, (0, 1, 0), 3): (1096, 1163)
(5, 1, 0, (0, 1, 0), 4): (697, 728)
(5, 1, 0, (0, 1, 0), 5): (458, 472)
(5, 1, 0, (0, 1, 0), 6): (294, 300)
(5, 1, 0, (0, 1, 0), 7): (164, 165)
(5, 1, 0, (0, 1, 0), 8): (94, 94)
(5, 1, 0, (0, 1, 0), 9): (47, 47)
(5, 1, 0, (0, 1, 0), 10): (24, 24)
(5, 1, 0, (0, 1, 0), 11): (16, 16)
(5, 1, 0, (0, 1, 0), 12): (14, 14)
(5, 1, 0, (0, 1, 0), 13): (7, 7)
(5, 1, 0, (0, 1, 0), 14): (3, 3)
(5, 1, 0, (0, 1, 0), 15): (1, 1)
(5, 1, 0, (0, 1, 1), -15): (0, 1)
(5, 1, 0, (0, 1, 1), -14): (0, 1)
(5, 1, 0, (0, 1, 1), -13): (0, 2)
(5, 1, 0, (0, 1, 1), -12): (0, 3)
(5, 1, 0, (0, 1, 1), -11): (0, 3)
(5, 1, 0, (0, 1, 1), -10): (0, 5)
(5, 1, 0, (0, 1, 1), -9): (0, 9)
(5, 1, 0, (0, 1, 1), -8): (0, 21)
(5, 1, 0, (0, 1, 1), -7): (6, 38)
(5, 1, 0, (0, 1, 1), -6): (6, 52)
(5, 1, 0, (0, 1, 1), -5): (13, 77)
(5, 1, 0, (0, 1, 1), -4): (33, 117)
(5, 1, 0, (0, 1, 1), -3): (71, 181)
(5, 1, 0, (0, 1, 1), -2): (116, 229)
(5, 1, 0, (0, 1, 1), -1): (202, 331)
(5, 1, 0, (0, 1, 1), 0): (325, 416)
(5, 1, 0, (0, 1, 1), 1): (306, 354)
(5, 1, 0, (0, 1, 1), 2): (275, 302)
(5, 1, 0, (0, 1, 1), 3): (227, 241)
(5, 1, 0, (0, 1, 1), 4): (196, 199)
(5, 1, 0, (0, 1, 1), 5): (123, 126)
(5, 1, 0, (0, 1, 1), 6): (79, 79)
(5, 1, 0, (0, 1, 1), 7): (58, 58)
(5, 1, 0, (0, 1, 1), 8): (25, 25)
(5, 1, 0, (0, 1, 1), 9): (16, 16)
(5, 1, 0, (0, 1, 1), 10): (14, 14)
(5, 1, 0, (0, 1, 1), 11): (7, 7)
(5, 1, 0, (0, 1, 1), 12): (2, 2)
(5, 1, 0, (0, 1, 1), 14): (1, 1)
(5, 1, 0, (1, 0, 0), -19): (0, 1)
(5, 1, 0, (1, 0, 0), -18): (0, 2)
(5, 1, 0, (1, 0, 0), -17): (0, 1)
(5, 1, 0, (1, 0, 0), -16): (0, 3)
(5, 1, 0, (1, 0, 0), -15): (0, 7)
(5, 1, 0, (1, 0, 0), -14): (0, 7)
(5, 1, 0, (1, 0, 0), -13): (0, 23)
(5, 1, 0, (1, 0, 0), -12): (0, 37)
(5, 1, 0, (1, 0, 0), -11): (0, 54)
(5, 1, 0, (1, 0, 0), -10): (1, 107)
(5, 1, 0, (1, 0, 0), -9): (1, 189)
(5, 1, 0, (1, 0, 0), -8): (8, 368)
(5, 1, 0, (1, 0, 0), -7): (32, 600)
(5, 1, 0, (1, 0, 0), -6): (68, 995)
(5, 1, 0, (1, 0, 0), -5): (171, 1583)
(5, 1, 0, (1, 0, 0), -4): (340, 2322)
(5, 1, 0, (1, 0, 0), -3): (808, 3374)
(5, 1, 0, (1, 0, 0), -2): (1765, 5007)
(5, 1, 0, (1, 0, 0), -1): (3155, 6589)
(5, 1, 0, (1, 0, 0), 0): (5094, 8048)
(5, 1, 0, (1, 0, 0), 1): (4995, 6474)
(5, 1, 0, (1, 0, 0), 2): (4224, 4844)
(5, 1, 0, (1, 0, 0), 3): (3062, 3302)
(5, 1, 0, (1, 0, 0), 4): (2135, 2224)
(5, 1, 0, (1, 0, 0), 5): (1310, 1345)
(5, 1, 0, (1, 0, 0), 6): (885, 900)
(5, 1, 0, (1, 0, 0), 7): (525, 530)
(5, 1, 0, (1, 0, 0), 8): (288, 289)
(5, 1, 0, (1, 0, 0), 9): (174, 176)
(5, 1, 0, (1, 0, 0), 10): (85, 85)
(5, 1, 0, (1, 0, 0), 11): (50, 50)
(5, 1, 0, (1, 0, 0), 12): (24, 24)
(5, 1, 0, (1, 0, 0), 13): (8, 8)
(5, 1, 0, (1, 0, 0), 14): (3, 3)
(5, 1, 0, (1, 0, 0), 15): (5, 5)
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(5, 1, 0, (1, 0, 0), 17): (2, 2)
(5, 1, 0, (1, 0, 0), 18): (2, 2)
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(5, 1, 0, (1, 0, 1), -14): (0, 1)
(5, 1, 0, (1, 0, 1), -13): (0, 3)
(5, 1, 0, (1, 0, 1), -12): (0, 1)
(5, 1, 0, (1, 0, 1), -11): (0, 2)
(5, 1, 0, (1, 0, 1), -10): (0, 13)
(5, 1, 0, (1, 0, 1), -9): (0, 7)
(5, 1, 0, (1, 0, 1), -8): (0, 20)
(5, 1, 0, (1, 0, 1), -7): (2, 38)
(5, 1, 0, (1, 0, 1), -6): (9, 64)
(5, 1, 0, (1, 0, 1), -5): (21, 129)
(5, 1, 0, (1, 0, 1), -4): (42, 168)
(5, 1, 0, (1, 0, 1), -3): (100, 275)
(5, 1, 0, (1, 0, 1), -2): (208, 423)
(5, 1, 0, (1, 0, 1), -1): (361, 601)
(5, 1, 0, (1, 0, 1), 0): (518, 723)
(5, 1, 0, (1, 0, 1), 1): (566, 672)
(5, 1, 0, (1, 0, 1), 2): (480, 532)
(5, 1, 0, (1, 0, 1), 3): (386, 403)
(5, 1, 0, (1, 0, 1), 4): (278, 281)
(5, 1, 0, (1, 0, 1), 5): (193, 195)
(5, 1, 0, (1, 0, 1), 6): (121, 125)
(5, 1, 0, (1, 0, 1), 7): (54, 54)
(5, 1, 0, (1, 0, 1), 8): (35, 35)
(5, 1, 0, (1, 0, 1), 9): (16, 16)
(5, 1, 0, (1, 0, 1), 10): (13, 13)
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(5, 1, 0, (1, 1, 0), -13): (0, 2)
(5, 1, 0, (1, 1, 0), -12): (0, 5)
(5, 1, 0, (1, 1, 0), -11): (0, 23)
(5, 1, 0, (1, 1, 0), -10): (0, 22)
(5, 1, 0, (1, 1, 0), -9): (0, 54)
(5, 1, 0, (1, 1, 0), -8): (4, 93)
(5, 1, 0, (1, 1, 0), -7): (10, 152)
(5, 1, 0, (1, 1, 0), -6): (32, 269)
(5, 1, 0, (1, 1, 0), -5): (64, 385)
(5, 1, 0, (1, 1, 0), -4): (125, 552)
(5, 1, 0, (1, 1, 0), -3): (266, 840)
(5, 1, 0, (1, 1, 0), -2): (522, 1230)
(5, 1, 0, (1, 1, 0), -1): (742, 1289)
(5, 1, 0, (1, 1, 0), 0): (1116, 1589)
(5, 1, 0, (1, 1, 0), 1): (1094, 1333)
(5, 1, 0, (1, 1, 0), 2): (930, 1049)
(5, 1, 0, (1, 1, 0), 3): (727, 768)
(5, 1, 0, (1, 1, 0), 4): (516, 534)
(5, 1, 0, (1, 1, 0), 5): (419, 428)
(5, 1, 0, (1, 1, 0), 6): (265, 270)
(5, 1, 0, (1, 1, 0), 7): (168, 170)
(5, 1, 0, (1, 1, 0), 8): (84, 84)
(5, 1, 0, (1, 1, 0), 9): (53, 54)
(5, 1, 0, (1, 1, 0), 10): (36, 36)
(5, 1, 0, (1, 1, 0), 11): (21, 21)
(5, 1, 0, (1, 1, 0), 12): (9, 9)
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(5, 1, 0, (1, 1, 1), -10): (0, 8)
(5, 1, 0, (1, 1, 1), -9): (0, 10)
(5, 1, 0, (1, 1, 1), -8): (3, 24)
(5, 1, 0, (1, 1, 1), -7): (7, 45)
(5, 1, 0, (1, 1, 1), -6): (16, 62)
(5, 1, 0, (1, 1, 1), -5): (19, 82)
(5, 1, 0, (1, 1, 1), -4): (34, 111)
(5, 1, 0, (1, 1, 1), -3): (100, 205)
(5, 1, 0, (1, 1, 1), -2): (164, 286)
(5, 1, 0, (1, 1, 1), -1): (232, 338)
(5, 1, 0, (1, 1, 1), 0): (321, 400)
(5, 1, 0, (1, 1, 1), 1): (329, 381)
(5, 1, 0, (1, 1, 1), 2): (311, 343)
(5, 1, 0, (1, 1, 1), 3): (230, 245)
(5, 1, 0, (1, 1, 1), 4): (170, 172)
(5, 1, 0, (1, 1, 1), 5): (136, 137)
(5, 1, 0, (1, 1, 1), 6): (77, 77)
(5, 1, 0, (1, 1, 1), 7): (57, 58)
(5, 1, 0, (1, 1, 1), 8): (27, 27)
(5, 1, 0, (1, 1, 1), 9): (16, 17)
(5, 1, 0, (1, 1, 1), 10): (10, 10)
(5, 1, 0, (1, 1, 1), 11): (7, 7)
(5, 1, 0, (1, 1, 1), 12): (4, 4)
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(5, 1, 1, (0, 0, 0), -16): (0, 8)
(5, 1, 1, (0, 0, 0), -15): (0, 13)
(5, 1, 1, (0, 0, 0), -14): (0, 26)
(5, 1, 1, (0, 0, 0), -13): (0, 64)
(5, 1, 1, (0, 0, 0), -12): (1, 99)
(5, 1, 1, (0, 0, 0), -11): (0, 186)
(5, 1, 1, (0, 0, 0), -10): (1, 265)
(5, 1, 1, (0, 0, 0), -9): (4, 518)
(5, 1, 1, (0, 0, 0), -8): (11, 931)
(5, 1, 1, (0, 0, 0), -7): (27, 1575)
(5, 1, 1, (0, 0, 0), -6): (82, 2616)
(5, 1, 1, (0, 0, 0), -5): (274, 4317)
(5, 1, 1, (0, 0, 0), -4): (614, 6524)
(5, 1, 1, (0, 0, 0), -3): (1589, 9533)
(5, 1, 1, (0, 0, 0), -2): (3547, 13659)
(5, 1, 1, (0, 0, 0), -1): (7114, 18405)
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(5, 1, 1, (0, 0, 0), 1): (13046, 17974)
(5, 1, 1, (0, 0, 0), 2): (10917, 13144)
(5, 1, 1, (0, 0, 0), 3): (8014, 8952)
(5, 1, 1, (0, 0, 0), 4): (5451, 5775)
(5, 1, 1, (0, 0, 0), 5): (3591, 3716)
(5, 1, 1, (0, 0, 0), 6): (2208, 2248)
(5, 1, 1, (0, 0, 0), 7): (1400, 1416)
(5, 1, 1, (0, 0, 0), 8): (806, 812)
(5, 1, 1, (0, 0, 0), 9): (458, 460)
(5, 1, 1, (0, 0, 0), 10): (277, 277)
(5, 1, 1, (0, 0, 0), 11): (140, 140)
(5, 1, 1, (0, 0, 0), 12): (74, 74)
(5, 1, 1, (0, 0, 0), 13): (36, 36)
(5, 1, 1, (0, 0, 0), 14): (33, 33)
(5, 1, 1, (0, 0, 0), 15): (12, 12)
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(5, 1, 1, (0, 0, 1), -11): (0, 7)
(5, 1, 1, (0, 0, 1), -10): (0, 18)
(5, 1, 1, (0, 0, 1), -9): (0, 20)
(5, 1, 1, (0, 0, 1), -8): (0, 30)
(5, 1, 1, (0, 0, 1), -7): (2, 60)
(5, 1, 1, (0, 0, 1), -6): (4, 90)
(5, 1, 1, (0, 0, 1), -5): (18, 171)
(5, 1, 1, (0, 0, 1), -4): (53, 265)
(5, 1, 1, (0, 0, 1), -3): (103, 438)
(5, 1, 1, (0, 0, 1), -2): (225, 683)
(5, 1, 1, (0, 0, 1), -1): (579, 1150)
(5, 1, 1, (0, 0, 1), 0): (1023, 1522)
(5, 1, 1, (0, 0, 1), 1): (1092, 1378)
(5, 1, 1, (0, 0, 1), 2): (957, 1119)
(5, 1, 1, (0, 0, 1), 3): (823, 880)
(5, 1, 1, (0, 0, 1), 4): (566, 592)
(5, 1, 1, (0, 0, 1), 5): (355, 363)
(5, 1, 1, (0, 0, 1), 6): (236, 237)
(5, 1, 1, (0, 0, 1), 7): (132, 132)
(5, 1, 1, (0, 0, 1), 8): (83, 83)
(5, 1, 1, (0, 0, 1), 9): (36, 36)
(5, 1, 1, (0, 0, 1), 10): (21, 21)
(5, 1, 1, (0, 0, 1), 11): (17, 17)
(5, 1, 1, (0, 0, 1), 12): (10, 10)
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(5, 1, 1, (0, 0, 1), 16): (1, 1)
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(5, 1, 1, (0, 1, 0), -14): (0, 4)
(5, 1, 1, (0, 1, 0), -13): (0, 5)
(5, 1, 1, (0, 1, 0), -12): (0, 17)
(5, 1, 1, (0, 1, 0), -11): (0, 26)
(5, 1, 1, (0, 1, 0), -10): (0, 41)
(5, 1, 1, (0, 1, 0), -9): (1, 70)
(5, 1, 1, (0, 1, 0), -8): (3, 122)
(5, 1, 1, (0, 1, 0), -7): (8, 217)
(5, 1, 1, (0, 1, 0), -6): (20, 359)
(5, 1, 1, (0, 1, 0), -5): (57, 564)
(5, 1, 1, (0, 1, 0), -4): (125, 912)
(5, 1, 1, (0, 1, 0), -3): (260, 1384)
(5, 1, 1, (0, 1, 0), -2): (712, 2121)
(5, 1, 1, (0, 1, 0), -1): (1539, 3355)
(5, 1, 1, (0, 1, 0), 0): (2770, 4437)
(5, 1, 1, (0, 1, 0), 1): (3009, 3974)
(5, 1, 1, (0, 1, 0), 2): (2649, 3054)
(5, 1, 1, (0, 1, 0), 3): (2055, 2237)
(5, 1, 1, (0, 1, 0), 4): (1416, 1479)
(5, 1, 1, (0, 1, 0), 5): (911, 941)
(5, 1, 1, (0, 1, 0), 6): (556, 570)
(5, 1, 1, (0, 1, 0), 7): (308, 312)
(5, 1, 1, (0, 1, 0), 8): (197, 198)
(5, 1, 1, (0, 1, 0), 9): (102, 102)
(5, 1, 1, (0, 1, 0), 10): (62, 62)
(5, 1, 1, (0, 1, 0), 11): (36, 36)
(5, 1, 1, (0, 1, 0), 12): (18, 18)
(5, 1, 1, (0, 1, 0), 13): (10, 10)
(5, 1, 1, (0, 1, 0), 14): (5, 5)
(5, 1, 1, (0, 1, 0), 15): (3, 3)
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(5, 1, 1, (0, 1, 1), -14): (0, 2)
(5, 1, 1, (0, 1, 1), -13): (0, 3)
(5, 1, 1, (0, 1, 1), -12): (0, 6)
(5, 1, 1, (0, 1, 1), -11): (0, 8)
(5, 1, 1, (0, 1, 1), -10): (0, 9)
(5, 1, 1, (0, 1, 1), -9): (0, 24)
(5, 1, 1, (0, 1, 1), -8): (0, 28)
(5, 1, 1, (0, 1, 1), -7): (2, 48)
(5, 1, 1, (0, 1, 1), -6): (9, 109)
(5, 1, 1, (0, 1, 1), -5): (19, 169)
(5, 1, 1, (0, 1, 1), -4): (60, 249)
(5, 1, 1, (0, 1, 1), -3): (107, 364)
(5, 1, 1, (0, 1, 1), -2): (316, 723)
(5, 1, 1, (0, 1, 1), -1): (472, 849)
(5, 1, 1, (0, 1, 1), 0): (800, 1109)
(5, 1, 1, (0, 1, 1), 1): (825, 1005)
(5, 1, 1, (0, 1, 1), 2): (784, 879)
(5, 1, 1, (0, 1, 1), 3): (648, 696)
(5, 1, 1, (0, 1, 1), 4): (470, 487)
(5, 1, 1, (0, 1, 1), 5): (330, 336)
(5, 1, 1, (0, 1, 1), 6): (207, 209)
(5, 1, 1, (0, 1, 1), 7): (135, 135)
(5, 1, 1, (0, 1, 1), 8): (77, 77)
(5, 1, 1, (0, 1, 1), 9): (39, 39)
(5, 1, 1, (0, 1, 1), 10): (30, 31)
(5, 1, 1, (0, 1, 1), 11): (22, 22)
(5, 1, 1, (0, 1, 1), 12): (4, 4)
(5, 1, 1, (0, 1, 1), 13): (6, 6)
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(5, 1, 1, (1, 0, 0), -15): (0, 7)
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(5, 1, 1, (1, 0, 0), -13): (0, 37)
(5, 1, 1, (1, 0, 0), -12): (0, 44)
(5, 1, 1, (1, 0, 0), -11): (0, 77)
(5, 1, 1, (1, 0, 0), -10): (0, 121)
(5, 1, 1, (1, 0, 0), -9): (2, 213)
(5, 1, 1, (1, 0, 0), -8): (5, 413)
(5, 1, 1, (1, 0, 0), -7): (19, 675)
(5, 1, 1, (1, 0, 0), -6): (45, 1135)
(5, 1, 1, (1, 0, 0), -5): (151, 1827)
(5, 1, 1, (1, 0, 0), -4): (317, 2739)
(5, 1, 1, (1, 0, 0), -3): (767, 3938)
(5, 1, 1, (1, 0, 0), -2): (1759, 5757)
(5, 1, 1, (1, 0, 0), -1): (3154, 7323)
(5, 1, 1, (1, 0, 0), 0): (5319, 9007)
(5, 1, 1, (1, 0, 0), 1): (5649, 7512)
(5, 1, 1, (1, 0, 0), 2): (4839, 5718)
(5, 1, 1, (1, 0, 0), 3): (3647, 4010)
(5, 1, 1, (1, 0, 0), 4): (2622, 2759)
(5, 1, 1, (1, 0, 0), 5): (1710, 1755)
(5, 1, 1, (1, 0, 0), 6): (1083, 1101)
(5, 1, 1, (1, 0, 0), 7): (659, 667)
(5, 1, 1, (1, 0, 0), 8): (422, 425)
(5, 1, 1, (1, 0, 0), 9): (255, 258)
(5, 1, 1, (1, 0, 0), 10): (142, 142)
(5, 1, 1, (1, 0, 0), 11): (63, 63)
(5, 1, 1, (1, 0, 0), 12): (46, 46)
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(5, 1, 1, (1, 0, 1), -10): (0, 18)
(5, 1, 1, (1, 0, 1), -9): (0, 23)
(5, 1, 1, (1, 0, 1), -8): (1, 55)
(5, 1, 1, (1, 0, 1), -7): (8, 104)
(5, 1, 1, (1, 0, 1), -6): (11, 150)
(5, 1, 1, (1, 0, 1), -5): (38, 253)
(5, 1, 1, (1, 0, 1), -4): (77, 392)
(5, 1, 1, (1, 0, 1), -3): (163, 574)
(5, 1, 1, (1, 0, 1), -2): (293, 784)
(5, 1, 1, (1, 0, 1), -1): (591, 1133)
(5, 1, 1, (1, 0, 1), 0): (982, 1470)
(5, 1, 1, (1, 0, 1), 1): (1100, 1354)
(5, 1, 1, (1, 0, 1), 2): (1021, 1158)
(5, 1, 1, (1, 0, 1), 3): (874, 930)
(5, 1, 1, (1, 0, 1), 4): (560, 587)
(5, 1, 1, (1, 0, 1), 5): (392, 396)
(5, 1, 1, (1, 0, 1), 6): (243, 252)
(5, 1, 1, (1, 0, 1), 7): (167, 168)
(5, 1, 1, (1, 0, 1), 8): (105, 106)
(5, 1, 1, (1, 0, 1), 9): (68, 68)
(5, 1, 1, (1, 0, 1), 10): (41, 41)
(5, 1, 1, (1, 0, 1), 11): (27, 27)
(5, 1, 1, (1, 0, 1), 12): (11, 11)
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(5, 1, 1, (1, 1, 0), -12): (0, 16)
(5, 1, 1, (1, 1, 0), -11): (0, 27)
(5, 1, 1, (1, 1, 0), -10): (0, 44)
(5, 1, 1, (1, 1, 0), -9): (1, 78)
(5, 1, 1, (1, 1, 0), -8): (4, 134)
(5, 1, 1, (1, 1, 0), -7): (8, 236)
(5, 1, 1, (1, 1, 0), -6): (26, 428)
(5, 1, 1, (1, 1, 0), -5): (77, 642)
(5, 1, 1, (1, 1, 0), -4): (164, 917)
(5, 1, 1, (1, 1, 0), -3): (330, 1373)
(5, 1, 1, (1, 1, 0), -2): (707, 1908)
(5, 1, 1, (1, 1, 0), -1): (1168, 2279)
(5, 1, 1, (1, 1, 0), 0): (1859, 2886)
(5, 1, 1, (1, 1, 0), 1): (2096, 2665)
(5, 1, 1, (1, 1, 0), 2): (1933, 2202)
(5, 1, 1, (1, 1, 0), 3): (1421, 1536)
(5, 1, 1, (1, 1, 0), 4): (1097, 1147)
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(5, 1, 1, (1, 1, 0), 6): (501, 513)
(5, 1, 1, (1, 1, 0), 7): (288, 290)
(5, 1, 1, (1, 1, 0), 8): (193, 194)
(5, 1, 1, (1, 1, 0), 9): (113, 116)
(5, 1, 1, (1, 1, 0), 10): (70, 70)
(5, 1, 1, (1, 1, 0), 11): (37, 37)
(5, 1, 1, (1, 1, 0), 12): (26, 26)
(5, 1, 1, (1, 1, 0), 13): (15, 15)
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(5, 1, 1, (1, 1, 1), -10): (0, 15)
(5, 1, 1, (1, 1, 1), -9): (1, 20)
(5, 1, 1, (1, 1, 1), -8): (1, 26)
(5, 1, 1, (1, 1, 1), -7): (4, 56)
(5, 1, 1, (1, 1, 1), -6): (17, 112)
(5, 1, 1, (1, 1, 1), -5): (33, 162)
(5, 1, 1, (1, 1, 1), -4): (57, 245)
(5, 1, 1, (1, 1, 1), -3): (120, 362)
(5, 1, 1, (1, 1, 1), -2): (248, 557)
(5, 1, 1, (1, 1, 1), -1): (423, 727)
(5, 1, 1, (1, 1, 1), 0): (765, 1063)
(5, 1, 1, (1, 1, 1), 1): (897, 1089)
(5, 1, 1, (1, 1, 1), 2): (879, 988)
(5, 1, 1, (1, 1, 1), 3): (688, 738)
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(5, 1, 1, (1, 1, 1), 10): (32, 32)
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(5, 1, 2, (0, 0, 0), -13): (0, 45)
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(5, 1, 2, (0, 0, 1), -6): (6, 161)
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(5, 1, 2, (0, 0, 1), -3): (99, 659)
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(5, 1, 2, (0, 1, 1), -7): (2, 53)
(5, 1, 2, (0, 1, 1), -6): (7, 116)
(5, 1, 2, (0, 1, 1), -5): (13, 193)
(5, 1, 2, (0, 1, 1), -4): (39, 267)
(5, 1, 2, (0, 1, 1), -3): (85, 410)
(5, 1, 2, (0, 1, 1), -2): (208, 639)
(5, 1, 2, (0, 1, 1), -1): (383, 828)
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(5, 1, 2, (0, 1, 1), 2): (773, 899)
(5, 1, 2, (0, 1, 1), 3): (679, 743)
(5, 1, 2, (0, 1, 1), 4): (499, 523)
(5, 1, 2, (0, 1, 1), 5): (399, 405)
(5, 1, 2, (0, 1, 1), 6): (257, 261)
(5, 1, 2, (0, 1, 1), 7): (152, 154)
(5, 1, 2, (0, 1, 1), 8): (97, 97)
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(5, 1, 2, (1, 0, 0), -14): (0, 8)
(5, 1, 2, (1, 0, 0), -13): (0, 31)
(5, 1, 2, (1, 0, 0), -12): (0, 47)
(5, 1, 2, (1, 0, 0), -11): (0, 69)
(5, 1, 2, (1, 0, 0), -10): (1, 113)
(5, 1, 2, (1, 0, 0), -9): (1, 221)
(5, 1, 2, (1, 0, 0), -8): (4, 386)
(5, 1, 2, (1, 0, 0), -7): (11, 668)
(5, 1, 2, (1, 0, 0), -6): (33, 1098)
(5, 1, 2, (1, 0, 0), -5): (94, 1831)
(5, 1, 2, (1, 0, 0), -4): (245, 2622)
(5, 1, 2, (1, 0, 0), -3): (650, 3910)
(5, 1, 2, (1, 0, 0), -2): (1409, 5433)
(5, 1, 2, (1, 0, 0), -1): (2758, 7147)
(5, 1, 2, (1, 0, 0), 0): (4849, 8651)
(5, 1, 2, (1, 0, 0), 1): (5411, 7491)
(5, 1, 2, (1, 0, 0), 2): (4929, 5948)
(5, 1, 2, (1, 0, 0), 3): (3991, 4427)
(5, 1, 2, (1, 0, 0), 4): (2909, 3081)
(5, 1, 2, (1, 0, 0), 5): (1976, 2050)
(5, 1, 2, (1, 0, 0), 6): (1292, 1316)
(5, 1, 2, (1, 0, 0), 7): (837, 855)
(5, 1, 2, (1, 0, 0), 8): (532, 536)
(5, 1, 2, (1, 0, 0), 9): (337, 338)
(5, 1, 2, (1, 0, 0), 10): (180, 180)
(5, 1, 2, (1, 0, 0), 11): (118, 118)
(5, 1, 2, (1, 0, 0), 12): (54, 54)
(5, 1, 2, (1, 0, 0), 13): (27, 27)
(5, 1, 2, (1, 0, 0), 14): (17, 17)
(5, 1, 2, (1, 0, 0), 15): (9, 9)
(5, 1, 2, (1, 0, 0), 16): (4, 4)
(5, 1, 2, (1, 0, 0), 17): (6, 6)
(5, 1, 2, (1, 0, 0), 18): (3, 3)
(5, 1, 2, (1, 0, 0), 19): (2, 2)
(5, 1, 2, (1, 0, 0), 20): (1, 1)
(5, 1, 2, (1, 0, 1), -16): (0, 1)
(5, 1, 2, (1, 0, 1), -13): (0, 6)
(5, 1, 2, (1, 0, 1), -12): (0, 6)
(5, 1, 2, (1, 0, 1), -11): (0, 10)
(5, 1, 2, (1, 0, 1), -10): (0, 29)
(5, 1, 2, (1, 0, 1), -9): (0, 42)
(5, 1, 2, (1, 0, 1), -8): (1, 69)
(5, 1, 2, (1, 0, 1), -7): (1, 108)
(5, 1, 2, (1, 0, 1), -6): (8, 183)
(5, 1, 2, (1, 0, 1), -5): (16, 308)
(5, 1, 2, (1, 0, 1), -4): (53, 451)
(5, 1, 2, (1, 0, 1), -3): (139, 714)
(5, 1, 2, (1, 0, 1), -2): (296, 981)
(5, 1, 2, (1, 0, 1), -1): (637, 1463)
(5, 1, 2, (1, 0, 1), 0): (1043, 1836)
(5, 1, 2, (1, 0, 1), 1): (1319, 1791)
(5, 1, 2, (1, 0, 1), 2): (1273, 1529)
(5, 1, 2, (1, 0, 1), 3): (1151, 1260)
(5, 1, 2, (1, 0, 1), 4): (794, 836)
(5, 1, 2, (1, 0, 1), 5): (560, 576)
(5, 1, 2, (1, 0, 1), 6): (370, 377)
(5, 1, 2, (1, 0, 1), 7): (251, 253)
(5, 1, 2, (1, 0, 1), 8): (148, 152)
(5, 1, 2, (1, 0, 1), 9): (97, 97)
(5, 1, 2, (1, 0, 1), 10): (53, 54)
(5, 1, 2, (1, 0, 1), 11): (41, 41)
(5, 1, 2, (1, 0, 1), 12): (26, 26)
(5, 1, 2, (1, 0, 1), 13): (5, 5)
(5, 1, 2, (1, 0, 1), 14): (4, 4)
(5, 1, 2, (1, 0, 1), 15): (1, 1)
(5, 1, 2, (1, 0, 1), 17): (2, 2)
(5, 1, 2, (1, 0, 1), 18): (2, 2)
(5, 1, 2, (1, 1, 0), -18): (0, 1)
(5, 1, 2, (1, 1, 0), -16): (0, 1)
(5, 1, 2, (1, 1, 0), -15): (0, 3)
(5, 1, 2, (1, 1, 0), -14): (0, 4)
(5, 1, 2, (1, 1, 0), -13): (0, 9)
(5, 1, 2, (1, 1, 0), -12): (0, 29)
(5, 1, 2, (1, 1, 0), -11): (0, 35)
(5, 1, 2, (1, 1, 0), -10): (0, 38)
(5, 1, 2, (1, 1, 0), -9): (1, 87)
(5, 1, 2, (1, 1, 0), -8): (1, 141)
(5, 1, 2, (1, 1, 0), -7): (7, 270)
(5, 1, 2, (1, 1, 0), -6): (20, 441)
(5, 1, 2, (1, 1, 0), -5): (58, 715)
(5, 1, 2, (1, 1, 0), -4): (122, 1013)
(5, 1, 2, (1, 1, 0), -3): (311, 1605)
(5, 1, 2, (1, 1, 0), -2): (647, 2142)
(5, 1, 2, (1, 1, 0), -1): (1259, 2885)
(5, 1, 2, (1, 1, 0), 0): (2193, 3731)
(5, 1, 2, (1, 1, 0), 1): (2594, 3458)
(5, 1, 2, (1, 1, 0), 2): (2480, 2946)
(5, 1, 2, (1, 1, 0), 3): (1997, 2209)
(5, 1, 2, (1, 1, 0), 4): (1560, 1624)
(5, 1, 2, (1, 1, 0), 5): (1004, 1042)
(5, 1, 2, (1, 1, 0), 6): (747, 763)
(5, 1, 2, (1, 1, 0), 7): (440, 444)
(5, 1, 2, (1, 1, 0), 8): (278, 279)
(5, 1, 2, (1, 1, 0), 9): (181, 181)
(5, 1, 2, (1, 1, 0), 10): (113, 113)
(5, 1, 2, (1, 1, 0), 11): (73, 73)
(5, 1, 2, (1, 1, 0), 12): (34, 34)
(5, 1, 2, (1, 1, 0), 13): (32, 32)
(5, 1, 2, (1, 1, 0), 14): (12, 12)
(5, 1, 2, (1, 1, 0), 15): (6, 6)
(5, 1, 2, (1, 1, 0), 16): (4, 4)
(5, 1, 2, (1, 1, 0), 17): (2, 2)
(5, 1, 2, (1, 1, 0), 18): (2, 2)
(5, 1, 2, (1, 1, 0), 19): (2, 2)
(5, 1, 2, (1, 1, 0), 20): (2, 2)
(5, 1, 2, (1, 1, 1), -14): (0, 1)
(5, 1, 2, (1, 1, 1), -13): (0, 1)
(5, 1, 2, (1, 1, 1), -12): (0, 5)
(5, 1, 2, (1, 1, 1), -11): (0, 6)
(5, 1, 2, (1, 1, 1), -10): (0, 11)
(5, 1, 2, (1, 1, 1), -9): (0, 23)
(5, 1, 2, (1, 1, 1), -8): (0, 31)
(5, 1, 2, (1, 1, 1), -7): (1, 59)
(5, 1, 2, (1, 1, 1), -6): (10, 127)
(5, 1, 2, (1, 1, 1), -5): (12, 170)
(5, 1, 2, (1, 1, 1), -4): (45, 279)
(5, 1, 2, (1, 1, 1), -3): (107, 453)
(5, 1, 2, (1, 1, 1), -2): (227, 652)
(5, 1, 2, (1, 1, 1), -1): (434, 873)
(5, 1, 2, (1, 1, 1), 0): (798, 1267)
(5, 1, 2, (1, 1, 1), 1): (1012, 1307)
(5, 1, 2, (1, 1, 1), 2): (1049, 1204)
(5, 1, 2, (1, 1, 1), 3): (829, 920)
(5, 1, 2, (1, 1, 1), 4): (603, 639)
(5, 1, 2, (1, 1, 1), 5): (410, 420)
(5, 1, 2, (1, 1, 1), 6): (282, 288)
(5, 1, 2, (1, 1, 1), 7): (190, 191)
(5, 1, 2, (1, 1, 1), 8): (120, 121)
(5, 1, 2, (1, 1, 1), 9): (68, 68)
(5, 1, 2, (1, 1, 1), 10): (44, 46)
(5, 1, 2, (1, 1, 1), 11): (33, 33)
(5, 1, 2, (1, 1, 1), 12): (16, 16)
(5, 1, 2, (1, 1, 1), 13): (4, 4)
(5, 1, 2, (1, 1, 1), 14): (6, 6)
(5, 1, 2, (1, 1, 1), 15): (4, 4)
(5, 1, 2, (1, 1, 1), 16): (1, 1)
(5, 1, 2, (1, 1, 1), 20): (1, 1)
(6, 0, 0, (0, 0, 0), -20): (0, 2)
(6, 0, 0, (0, 0, 0), -19): (0, 3)
(6, 0, 0, (0, 0, 0), -18): (0, 4)
(6, 0, 0, (0, 0, 0), -17): (0, 12)
(6, 0, 0, (0, 0, 0), -16): (0, 14)
(6, 0, 0, (0, 0, 0), -15): (0, 36)
(6, 0, 0, (0, 0, 0), -14): (0, 52)
(6, 0, 0, (0, 0, 0), -13): (0, 87)
(6, 0, 0, (0, 0, 0), -12): (0, 204)
(6, 0, 0, (0, 0, 0), -11): (0, 359)
(6, 0, 0, (0, 0, 0), -10): (2, 562)
(6, 0, 0, (0, 0, 0), -9): (6, 943)
(6, 0, 0, (0, 0, 0), -8): (12, 1662)
(6, 0, 0, (0, 0, 0), -7): (37, 2802)
(6, 0, 0, (0, 0, 0), -6): (88, 4397)
(6, 0, 0, (0, 0, 0), -5): (256, 6766)
(6, 0, 0, (0, 0, 0), -4): (620, 10002)
(6, 0, 0, (0, 0, 0), -3): (1619, 14262)
(6, 0, 0, (0, 0, 0), -2): (3665, 19457)
(6, 0, 0, (0, 0, 0), -1): (7656, 25129)
(6, 0, 0, (0, 0, 0), 0): (13890, 29200)
(6, 0, 0, (0, 0, 0), 1): (15692, 23936)
(6, 0, 0, (0, 0, 0), 2): (13811, 17843)
(6, 0, 0, (0, 0, 0), 3): (10858, 12557)
(6, 0, 0, (0, 0, 0), 4): (7736, 8364)
(6, 0, 0, (0, 0, 0), 5): (5384, 5657)
(6, 0, 0, (0, 0, 0), 6): (3277, 3358)
(6, 0, 0, (0, 0, 0), 7): (1948, 1980)
(6, 0, 0, (0, 0, 0), 8): (1185, 1194)
(6, 0, 0, (0, 0, 0), 9): (663, 665)
(6, 0, 0, (0, 0, 0), 10): (367, 368)
(6, 0, 0, (0, 0, 0), 11): (228, 228)
(6, 0, 0, (0, 0, 0), 12): (128, 129)
(6, 0, 0, (0, 0, 0), 13): (86, 86)
(6, 0, 0, (0, 0, 0), 14): (38, 38)
(6, 0, 0, (0, 0, 0), 15): (18, 18)
(6, 0, 0, (0, 0, 0), 16): (12, 12)
(6, 0, 0, (0, 0, 0), 17): (5, 5)
(6, 0, 0, (0, 0, 0), 18): (4, 4)
(6, 0, 0, (0, 0, 0), 19): (3, 3)
(6, 0, 0, (0, 0, 0), 20): (1, 1)
(6, 0, 0, (0, 0, 0), 22): (1, 1)
(6, 0, 0, (0, 0, 0), 23): (1, 1)
(6, 0, 0, (0, 0, 0), 24): (1, 1)
(6, 0, 0, (0, 0, 1), -13): (0, 2)
(6, 0, 0, (0, 0, 1), -12): (0, 1)
(6, 0, 0, (0, 0, 1), -11): (0, 2)
(6, 0, 0, (0, 0, 1), -10): (0, 9)
(6, 0, 0, (0, 0, 1), -9): (1, 14)
(6, 0, 0, (0, 0, 1), -8): (1, 23)
(6, 0, 0, (0, 0, 1), -7): (0, 25)
(6, 0, 0, (0, 0, 1), -6): (1, 57)
(6, 0, 0, (0, 0, 1), -5): (7, 59)
(6, 0, 0, (0, 0, 1), -4): (11, 108)
(6, 0, 0, (0, 0, 1), -3): (28, 145)
(6, 0, 0, (0, 0, 1), -2): (69, 226)
(6, 0, 0, (0, 0, 1), -1): (145, 298)
(6, 0, 0, (0, 0, 1), 0): (232, 373)
(6, 0, 0, (0, 0, 1), 1): (261, 336)
(6, 0, 0, (0, 0, 1), 2): (232, 291)
(6, 0, 0, (0, 0, 1), 3): (197, 218)
(6, 0, 0, (0, 0, 1), 4): (136, 145)
(6, 0, 0, (0, 0, 1), 5): (87, 88)
(6, 0, 0, (0, 0, 1), 6): (54, 55)
(6, 0, 0, (0, 0, 1), 7): (34, 34)
(6, 0, 0, (0, 0, 1), 8): (24, 24)
(6, 0, 0, (0, 0, 1), 9): (10, 10)
(6, 0, 0, (0, 0, 1), 10): (8, 9)
(6, 0, 0, (0, 0, 1), 11): (3, 3)
(6, 0, 0, (0, 0, 1), 13): (1, 1)
(6, 0, 0, (0, 0, 1), 16): (1, 1)
(6, 0, 0, (0, 1, 0), -16): (0, 1)
(6, 0, 0, (0, 1, 0), -15): (0, 1)
(6, 0, 0, (0, 1, 0), -14): (0, 1)
(6, 0, 0, (0, 1, 0), -13): (0, 2)
(6, 0, 0, (0, 1, 0), -12): (0, 13)
(6, 0, 0, (0, 1, 0), -11): (0, 18)
(6, 0, 0, (0, 1, 0), -10): (0, 47)
(6, 0, 0, (0, 1, 0), -9): (1, 52)
(6, 0, 0, (0, 1, 0), -8): (0, 116)
(6, 0, 0, (0, 1, 0), -7): (3, 174)
(6, 0, 0, (0, 1, 0), -6): (11, 275)
(6, 0, 0, (0, 1, 0), -5): (26, 436)
(6, 0, 0, (0, 1, 0), -4): (71, 634)
(6, 0, 0, (0, 1, 0), -3): (163, 921)
(6, 0, 0, (0, 1, 0), -2): (336, 1181)
(6, 0, 0, (0, 1, 0), -1): (683, 1655)
(6, 0, 0, (0, 1, 0), 0): (1130, 1983)
(6, 0, 0, (0, 1, 0), 1): (1316, 1805)
(6, 0, 0, (0, 1, 0), 2): (1139, 1411)
(6, 0, 0, (0, 1, 0), 3): (900, 1013)
(6, 0, 0, (0, 1, 0), 4): (596, 642)
(6, 0, 0, (0, 1, 0), 5): (454, 478)
(6, 0, 0, (0, 1, 0), 6): (264, 270)
(6, 0, 0, (0, 1, 0), 7): (145, 146)
(6, 0, 0, (0, 1, 0), 8): (90, 90)
(6, 0, 0, (0, 1, 0), 9): (62, 62)
(6, 0, 0, (0, 1, 0), 10): (26, 26)
(6, 0, 0, (0, 1, 0), 11): (28, 28)
(6, 0, 0, (0, 1, 0), 12): (13, 13)
(6, 0, 0, (0, 1, 0), 13): (8, 8)
(6, 0, 0, (0, 1, 0), 14): (3, 3)
(6, 0, 0, (0, 1, 0), 15): (2, 2)
(6, 0, 0, (0, 1, 0), 16): (2, 2)
(6, 0, 0, (0, 1, 0), 18): (1, 1)
(6, 0, 0, (0, 1, 0), 19): (1, 1)
(6, 0, 0, (0, 1, 0), 23): (1, 1)
(6, 0, 0, (0, 1, 1), -16): (0, 1)
(6, 0, 0, (0, 1, 1), -14): (0, 1)
(6, 0, 0, (0, 1, 1), -13): (0, 1)
(6, 0, 0, (0, 1, 1), -12): (0, 4)
(6, 0, 0, (0, 1, 1), -11): (0, 4)
(6, 0, 0, (0, 1, 1), -10): (0, 8)
(6, 0, 0, (0, 1, 1), -9): (0, 14)
(6, 0, 0, (0, 1, 1), -8): (0, 21)
(6, 0, 0, (0, 1, 1), -7): (0, 38)
(6, 0, 0, (0, 1, 1), -6): (2, 50)
(6, 0, 0, (0, 1, 1), -5): (13, 94)
(6, 0, 0, (0, 1, 1), -4): (21, 125)
(6, 0, 0, (0, 1, 1), -3): (45, 207)
(6, 0, 0, (0, 1, 1), -2): (100, 264)
(6, 0, 0, (0, 1, 1), -1): (194, 343)
(6, 0, 0, (0, 1, 1), 0): (277, 388)
(6, 0, 0, (0, 1, 1), 1): (288, 359)
(6, 0, 0, (0, 1, 1), 2): (256, 289)
(6, 0, 0, (0, 1, 1), 3): (180, 194)
(6, 0, 0, (0, 1, 1), 4): (129, 135)
(6, 0, 0, (0, 1, 1), 5): (96, 98)
(6, 0, 0, (0, 1, 1), 6): (61, 62)
(6, 0, 0, (0, 1, 1), 7): (50, 50)
(6, 0, 0, (0, 1, 1), 8): (28, 28)
(6, 0, 0, (0, 1, 1), 9): (24, 24)
(6, 0, 0, (0, 1, 1), 10): (12, 13)
(6, 0, 0, (0, 1, 1), 11): (4, 4)
(6, 0, 0, (0, 1, 1), 12): (4, 4)
(6, 0, 0, (0, 1, 1), 13): (1, 1)
(6, 0, 0, (0, 1, 1), 14): (2, 2)
(6, 0, 0, (0, 1, 1), 16): (1, 1)
(6, 0, 0, (1, 0, 0), -19): (0, 1)
(6, 0, 0, (1, 0, 0), -18): (0, 1)
(6, 0, 0, (1, 0, 0), -17): (0, 4)
(6, 0, 0, (1, 0, 0), -16): (0, 5)
(6, 0, 0, (1, 0, 0), -15): (0, 8)
(6, 0, 0, (1, 0, 0), -14): (0, 13)
(6, 0, 0, (1, 0, 0), -13): (0, 30)
(6, 0, 0, (1, 0, 0), -12): (0, 55)
(6, 0, 0, (1, 0, 0), -11): (0, 93)
(6, 0, 0, (1, 0, 0), -10): (0, 160)
(6, 0, 0, (1, 0, 0), -9): (1, 211)
(6, 0, 0, (1, 0, 0), -8): (7, 394)
(6, 0, 0, (1, 0, 0), -7): (14, 714)
(6, 0, 0, (1, 0, 0), -6): (32, 1052)
(6, 0, 0, (1, 0, 0), -5): (90, 1774)
(6, 0, 0, (1, 0, 0), -4): (199, 2560)
(6, 0, 0, (1, 0, 0), -3): (565, 3665)
(6, 0, 0, (1, 0, 0), -2): (1222, 5057)
(6, 0, 0, (1, 0, 0), -1): (2329, 6410)
(6, 0, 0, (1, 0, 0), 0): (3835, 7322)
(6, 0, 0, (1, 0, 0), 1): (4317, 6166)
(6, 0, 0, (1, 0, 0), 2): (3664, 4598)
(6, 0, 0, (1, 0, 0), 3): (2872, 3255)
(6, 0, 0, (1, 0, 0), 4): (2027, 2176)
(6, 0, 0, (1, 0, 0), 5): (1405, 1476)
(6, 0, 0, (1, 0, 0), 6): (908, 927)
(6, 0, 0, (1, 0, 0), 7): (528, 537)
(6, 0, 0, (1, 0, 0), 8): (326, 327)
(6, 0, 0, (1, 0, 0), 9): (186, 186)
(6, 0, 0, (1, 0, 0), 10): (100, 101)
(6, 0, 0, (1, 0, 0), 11): (68, 68)
(6, 0, 0, (1, 0, 0), 12): (38, 38)
(6, 0, 0, (1, 0, 0), 13): (21, 21)
(6, 0, 0, (1, 0, 0), 14): (11, 11)
(6, 0, 0, (1, 0, 0), 15): (8, 8)
(6, 0, 0, (1, 0, 0), 16): (4, 4)
(6, 0, 0, (1, 0, 0), 17): (3, 3)
(6, 0, 0, (1, 0, 0), 18): (3, 3)
(6, 0, 0, (1, 0, 0), 19): (2, 2)
(6, 0, 0, (1, 0, 0), 22): (1, 1)
(6, 0, 0, (1, 0, 0), 24): (1, 1)
(6, 0, 0, (1, 0, 1), -13): (0, 1)
(6, 0, 0, (1, 0, 1), -12): (0, 1)
(6, 0, 0, (1, 0, 1), -11): (0, 4)
(6, 0, 0, (1, 0, 1), -10): (0, 20)
(6, 0, 0, (1, 0, 1), -9): (0, 14)
(6, 0, 0, (1, 0, 1), -8): (1, 29)
(6, 0, 0, (1, 0, 1), -7): (0, 58)
(6, 0, 0, (1, 0, 1), -6): (6, 87)
(6, 0, 0, (1, 0, 1), -5): (13, 126)
(6, 0, 0, (1, 0, 1), -4): (30, 218)
(6, 0, 0, (1, 0, 1), -3): (65, 308)
(6, 0, 0, (1, 0, 1), -2): (149, 425)
(6, 0, 0, (1, 0, 1), -1): (295, 593)
(6, 0, 0, (1, 0, 1), 0): (440, 649)
(6, 0, 0, (1, 0, 1), 1): (441, 559)
(6, 0, 0, (1, 0, 1), 2): (410, 485)
(6, 0, 0, (1, 0, 1), 3): (320, 344)
(6, 0, 0, (1, 0, 1), 4): (216, 228)
(6, 0, 0, (1, 0, 1), 5): (152, 159)
(6, 0, 0, (1, 0, 1), 6): (94, 97)
(6, 0, 0, (1, 0, 1), 7): (69, 70)
(6, 0, 0, (1, 0, 1), 8): (43, 43)
(6, 0, 0, (1, 0, 1), 9): (36, 36)
(6, 0, 0, (1, 0, 1), 10): (14, 14)
(6, 0, 0, (1, 0, 1), 11): (12, 12)
(6, 0, 0, (1, 0, 1), 12): (6, 6)
(6, 0, 0, (1, 0, 1), 13): (3, 3)
(6, 0, 0, (1, 0, 1), 14): (2, 2)
(6, 0, 0, (1, 0, 1), 15): (1, 1)
(6, 0, 0, (1, 0, 1), 16): (1, 1)
(6, 0, 0, (1, 0, 1), 23): (1, 1)
(6, 0, 0, (1, 1, 0), -19): (0, 1)
(6, 0, 0, (1, 1, 0), -17): (0, 2)
(6, 0, 0, (1, 1, 0), -15): (0, 1)
(6, 0, 0, (1, 1, 0), -14): (0, 3)
(6, 0, 0, (1, 1, 0), -13): (0, 3)
(6, 0, 0, (1, 1, 0), -12): (0, 16)
(6, 0, 0, (1, 1, 0), -11): (0, 25)
(6, 0, 0, (1, 1, 0), -10): (0, 40)
(6, 0, 0, (1, 1, 0), -9): (0, 52)
(6, 0, 0, (1, 1, 0), -8): (3, 99)
(6, 0, 0, (1, 1, 0), -7): (8, 170)
(6, 0, 0, (1, 1, 0), -6): (11, 248)
(6, 0, 0, (1, 1, 0), -5): (29, 465)
(6, 0, 0, (1, 1, 0), -4): (78, 636)
(6, 0, 0, (1, 1, 0), -3): (224, 899)
(6, 0, 0, (1, 1, 0), -2): (418, 1278)
(6, 0, 0, (1, 1, 0), -1): (617, 1368)
(6, 0, 0, (1, 1, 0), 0): (873, 1446)
(6, 0, 0, (1, 1, 0), 1): (996, 1315)
(6, 0, 0, (1, 1, 0), 2): (838, 1016)
(6, 0, 0, (1, 1, 0), 3): (639, 701)
(6, 0, 0, (1, 1, 0), 4): (456, 475)
(6, 0, 0, (1, 1, 0), 5): (333, 342)
(6, 0, 0, (1, 1, 0), 6): (226, 232)
(6, 0, 0, (1, 1, 0), 7): (164, 164)
(6, 0, 0, (1, 1, 0), 8): (114, 115)
(6, 0, 0, (1, 1, 0), 9): (58, 58)
(6, 0, 0, (1, 1, 0), 10): (37, 38)
(6, 0, 0, (1, 1, 0), 11): (19, 19)
(6, 0, 0, (1, 1, 0), 12): (14, 14)
(6, 0, 0, (1, 1, 0), 13): (4, 4)
(6, 0, 0, (1, 1, 0), 14): (4, 4)
(6, 0, 0, (1, 1, 0), 15): (5, 5)
(6, 0, 0, (1, 1, 0), 17): (2, 2)
(6, 0, 0, (1, 1, 0), 19): (1, 1)
(6, 0, 0, (1, 1, 1), -13): (0, 1)
(6, 0, 0, (1, 1, 1), -11): (0, 4)
(6, 0, 0, (1, 1, 1), -10): (0, 10)
(6, 0, 0, (1, 1, 1), -9): (0, 7)
(6, 0, 0, (1, 1, 1), -8): (2, 17)
(6, 0, 0, (1, 1, 1), -7): (3, 40)
(6, 0, 0, (1, 1, 1), -6): (5, 47)
(6, 0, 0, (1, 1, 1), -5): (10, 100)
(6, 0, 0, (1, 1, 1), -4): (24, 148)
(6, 0, 0, (1, 1, 1), -3): (62, 207)
(6, 0, 0, (1, 1, 1), -2): (112, 286)
(6, 0, 0, (1, 1, 1), -1): (190, 328)
(6, 0, 0, (1, 1, 1), 0): (257, 375)
(6, 0, 0, (1, 1, 1), 1): (310, 374)
(6, 0, 0, (1, 1, 1), 2): (255, 285)
(6, 0, 0, (1, 1, 1), 3): (169, 179)
(6, 0, 0, (1, 1, 1), 4): (138, 143)
(6, 0, 0, (1, 1, 1), 5): (99, 99)
(6, 0, 0, (1, 1, 1), 6): (63, 64)
(6, 0, 0, (1, 1, 1), 7): (42, 42)
(6, 0, 0, (1, 1, 1), 8): (45, 46)
(6, 0, 0, (1, 1, 1), 9): (16, 16)
(6, 0, 0, (1, 1, 1), 10): (12, 12)
(6, 0, 0, (1, 1, 1), 11): (5, 5)
(6, 0, 0, (1, 1, 1), 12): (6, 6)
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(6, 0, 0, (1, 1, 1), 15): (2, 2)
(6, 0, 0, (1, 1, 1), 16): (1, 1)
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(6, 0, 1, (0, 0, 0), -19): (0, 2)
(6, 0, 1, (0, 0, 0), -18): (0, 3)
(6, 0, 1, (0, 0, 0), -17): (0, 7)
(6, 0, 1, (0, 0, 0), -16): (0, 8)
(6, 0, 1, (0, 0, 0), -15): (0, 28)
(6, 0, 1, (0, 0, 0), -14): (0, 40)
(6, 0, 1, (0, 0, 0), -13): (0, 55)
(6, 0, 1, (0, 0, 0), -12): (0, 130)
(6, 0, 1, (0, 0, 0), -11): (0, 243)
(6, 0, 1, (0, 0, 0), -10): (2, 360)
(6, 0, 1, (0, 0, 0), -9): (3, 668)
(6, 0, 1, (0, 0, 0), -8): (5, 1163)
(6, 0, 1, (0, 0, 0), -7): (18, 1934)
(6, 0, 1, (0, 0, 0), -6): (37, 3054)
(6, 0, 1, (0, 0, 0), -5): (129, 4612)
(6, 0, 1, (0, 0, 0), -4): (356, 6942)
(6, 0, 1, (0, 0, 0), -3): (890, 9863)
(6, 0, 1, (0, 0, 0), -2): (2111, 13528)
(6, 0, 1, (0, 0, 0), -1): (4766, 17726)
(6, 0, 1, (0, 0, 0), 0): (9206, 20723)
(6, 0, 1, (0, 0, 0), 1): (10743, 17111)
(6, 0, 1, (0, 0, 0), 2): (9900, 13010)
(6, 0, 1, (0, 0, 0), 3): (7926, 9267)
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(6, 0, 1, (0, 0, 0), 5): (4022, 4240)
(6, 0, 1, (0, 0, 0), 6): (2431, 2497)
(6, 0, 1, (0, 0, 0), 7): (1461, 1486)
(6, 0, 1, (0, 0, 0), 8): (936, 944)
(6, 0, 1, (0, 0, 0), 9): (527, 529)
(6, 0, 1, (0, 0, 0), 10): (283, 283)
(6, 0, 1, (0, 0, 0), 11): (184, 184)
(6, 0, 1, (0, 0, 0), 12): (106, 107)
(6, 0, 1, (0, 0, 0), 13): (65, 65)
(6, 0, 1, (0, 0, 0), 14): (32, 32)
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(6, 0, 1, (0, 0, 1), -14): (0, 1)
(6, 0, 1, (0, 0, 1), -13): (0, 2)
(6, 0, 1, (0, 0, 1), -12): (0, 4)
(6, 0, 1, (0, 0, 1), -11): (0, 8)
(6, 0, 1, (0, 0, 1), -10): (0, 15)
(6, 0, 1, (0, 0, 1), -9): (0, 22)
(6, 0, 1, (0, 0, 1), -8): (0, 41)
(6, 0, 1, (0, 0, 1), -7): (0, 70)
(6, 0, 1, (0, 0, 1), -6): (1, 96)
(6, 0, 1, (0, 0, 1), -5): (5, 178)
(6, 0, 1, (0, 0, 1), -4): (24, 269)
(6, 0, 1, (0, 0, 1), -3): (73, 458)
(6, 0, 1, (0, 0, 1), -2): (141, 612)
(6, 0, 1, (0, 0, 1), -1): (407, 988)
(6, 0, 1, (0, 0, 1), 0): (742, 1289)
(6, 0, 1, (0, 0, 1), 1): (881, 1225)
(6, 0, 1, (0, 0, 1), 2): (833, 1005)
(6, 0, 1, (0, 0, 1), 3): (644, 723)
(6, 0, 1, (0, 0, 1), 4): (488, 536)
(6, 0, 1, (0, 0, 1), 5): (319, 337)
(6, 0, 1, (0, 0, 1), 6): (235, 238)
(6, 0, 1, (0, 0, 1), 7): (115, 115)
(6, 0, 1, (0, 0, 1), 8): (49, 50)
(6, 0, 1, (0, 0, 1), 9): (41, 41)
(6, 0, 1, (0, 0, 1), 10): (20, 21)
(6, 0, 1, (0, 0, 1), 11): (25, 25)
(6, 0, 1, (0, 0, 1), 12): (11, 11)
(6, 0, 1, (0, 0, 1), 13): (9, 9)
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(6, 0, 1, (0, 1, 0), -15): (0, 8)
(6, 0, 1, (0, 1, 0), -14): (0, 4)
(6, 0, 1, (0, 1, 0), -13): (0, 6)
(6, 0, 1, (0, 1, 0), -12): (0, 24)
(6, 0, 1, (0, 1, 0), -11): (0, 32)
(6, 0, 1, (0, 1, 0), -10): (0, 60)
(6, 0, 1, (0, 1, 0), -9): (0, 92)
(6, 0, 1, (0, 1, 0), -8): (1, 159)
(6, 0, 1, (0, 1, 0), -7): (3, 266)
(6, 0, 1, (0, 1, 0), -6): (16, 418)
(6, 0, 1, (0, 1, 0), -5): (13, 580)
(6, 0, 1, (0, 1, 0), -4): (64, 926)
(6, 0, 1, (0, 1, 0), -3): (162, 1328)
(6, 0, 1, (0, 1, 0), -2): (404, 1965)
(6, 0, 1, (0, 1, 0), -1): (1041, 3050)
(6, 0, 1, (0, 1, 0), 0): (2014, 3958)
(6, 0, 1, (0, 1, 0), 1): (2349, 3413)
(6, 0, 1, (0, 1, 0), 2): (2209, 2760)
(6, 0, 1, (0, 1, 0), 3): (1792, 2050)
(6, 0, 1, (0, 1, 0), 4): (1316, 1443)
(6, 0, 1, (0, 1, 0), 5): (932, 983)
(6, 0, 1, (0, 1, 0), 6): (577, 587)
(6, 0, 1, (0, 1, 0), 7): (330, 334)
(6, 0, 1, (0, 1, 0), 8): (207, 208)
(6, 0, 1, (0, 1, 0), 9): (129, 129)
(6, 0, 1, (0, 1, 0), 10): (75, 75)
(6, 0, 1, (0, 1, 0), 11): (41, 41)
(6, 0, 1, (0, 1, 0), 12): (21, 21)
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(6, 0, 1, (0, 1, 1), -10): (0, 16)
(6, 0, 1, (0, 1, 1), -9): (0, 23)
(6, 0, 1, (0, 1, 1), -8): (2, 38)
(6, 0, 1, (0, 1, 1), -7): (3, 71)
(6, 0, 1, (0, 1, 1), -6): (2, 110)
(6, 0, 1, (0, 1, 1), -5): (16, 165)
(6, 0, 1, (0, 1, 1), -4): (22, 247)
(6, 0, 1, (0, 1, 1), -3): (69, 365)
(6, 0, 1, (0, 1, 1), -2): (201, 604)
(6, 0, 1, (0, 1, 1), -1): (380, 850)
(6, 0, 1, (0, 1, 1), 0): (591, 993)
(6, 0, 1, (0, 1, 1), 1): (709, 957)
(6, 0, 1, (0, 1, 1), 2): (668, 799)
(6, 0, 1, (0, 1, 1), 3): (607, 675)
(6, 0, 1, (0, 1, 1), 4): (443, 465)
(6, 0, 1, (0, 1, 1), 5): (315, 322)
(6, 0, 1, (0, 1, 1), 6): (197, 199)
(6, 0, 1, (0, 1, 1), 7): (127, 127)
(6, 0, 1, (0, 1, 1), 8): (70, 70)
(6, 0, 1, (0, 1, 1), 9): (44, 44)
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(6, 0, 1, (1, 0, 0), -13): (0, 32)
(6, 0, 1, (1, 0, 0), -12): (0, 55)
(6, 0, 1, (1, 0, 0), -11): (0, 92)
(6, 0, 1, (1, 0, 0), -10): (1, 176)
(6, 0, 1, (1, 0, 0), -9): (0, 261)
(6, 0, 1, (1, 0, 0), -8): (5, 480)
(6, 0, 1, (1, 0, 0), -7): (14, 819)
(6, 0, 1, (1, 0, 0), -6): (23, 1352)
(6, 0, 1, (1, 0, 0), -5): (82, 2041)
(6, 0, 1, (1, 0, 0), -4): (178, 3017)
(6, 0, 1, (1, 0, 0), -3): (504, 4292)
(6, 0, 1, (1, 0, 0), -2): (1128, 5861)
(6, 0, 1, (1, 0, 0), -1): (2199, 7142)
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(6, 0, 1, (1, 0, 0), 2): (4197, 5407)
(6, 0, 1, (1, 0, 0), 3): (3433, 3943)
(6, 0, 1, (1, 0, 0), 4): (2492, 2688)
(6, 0, 1, (1, 0, 0), 5): (1836, 1943)
(6, 0, 1, (1, 0, 0), 6): (1189, 1218)
(6, 0, 1, (1, 0, 0), 7): (706, 719)
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(6, 0, 1, (1, 0, 1), -11): (0, 15)
(6, 0, 1, (1, 0, 1), -10): (0, 30)
(6, 0, 1, (1, 0, 1), -9): (0, 39)
(6, 0, 1, (1, 0, 1), -8): (0, 55)
(6, 0, 1, (1, 0, 1), -7): (7, 115)
(6, 0, 1, (1, 0, 1), -6): (8, 164)
(6, 0, 1, (1, 0, 1), -5): (14, 271)
(6, 0, 1, (1, 0, 1), -4): (49, 435)
(6, 0, 1, (1, 0, 1), -3): (97, 590)
(6, 0, 1, (1, 0, 1), -2): (223, 803)
(6, 0, 1, (1, 0, 1), -1): (445, 1095)
(6, 0, 1, (1, 0, 1), 0): (823, 1365)
(6, 0, 1, (1, 0, 1), 1): (941, 1288)
(6, 0, 1, (1, 0, 1), 2): (888, 1073)
(6, 0, 1, (1, 0, 1), 3): (714, 785)
(6, 0, 1, (1, 0, 1), 4): (510, 550)
(6, 0, 1, (1, 0, 1), 5): (366, 378)
(6, 0, 1, (1, 0, 1), 6): (256, 263)
(6, 0, 1, (1, 0, 1), 7): (159, 159)
(6, 0, 1, (1, 0, 1), 8): (101, 101)
(6, 0, 1, (1, 0, 1), 9): (75, 75)
(6, 0, 1, (1, 0, 1), 10): (30, 30)
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(6, 0, 1, (1, 0, 1), 12): (15, 15)
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(6, 0, 1, (1, 1, 0), -12): (0, 21)
(6, 0, 1, (1, 1, 0), -11): (0, 33)
(6, 0, 1, (1, 1, 0), -10): (1, 54)
(6, 0, 1, (1, 1, 0), -9): (0, 81)
(6, 0, 1, (1, 1, 0), -8): (4, 150)
(6, 0, 1, (1, 1, 0), -7): (6, 273)
(6, 0, 1, (1, 1, 0), -6): (15, 443)
(6, 0, 1, (1, 1, 0), -5): (37, 677)
(6, 0, 1, (1, 1, 0), -4): (89, 980)
(6, 0, 1, (1, 1, 0), -3): (244, 1472)
(6, 0, 1, (1, 1, 0), -2): (495, 1994)
(6, 0, 1, (1, 1, 0), -1): (866, 2284)
(6, 0, 1, (1, 1, 0), 0): (1388, 2688)
(6, 0, 1, (1, 1, 0), 1): (1771, 2552)
(6, 0, 1, (1, 1, 0), 2): (1582, 1991)
(6, 0, 1, (1, 1, 0), 3): (1327, 1494)
(6, 0, 1, (1, 1, 0), 4): (928, 998)
(6, 0, 1, (1, 1, 0), 5): (680, 710)
(6, 0, 1, (1, 1, 0), 6): (493, 505)
(6, 0, 1, (1, 1, 0), 7): (331, 336)
(6, 0, 1, (1, 1, 0), 8): (210, 211)
(6, 0, 1, (1, 1, 0), 9): (122, 122)
(6, 0, 1, (1, 1, 0), 10): (76, 76)
(6, 0, 1, (1, 1, 0), 11): (37, 38)
(6, 0, 1, (1, 1, 0), 12): (23, 23)
(6, 0, 1, (1, 1, 0), 13): (13, 13)
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(6, 0, 1, (1, 1, 1), -12): (0, 5)
(6, 0, 1, (1, 1, 1), -11): (0, 10)
(6, 0, 1, (1, 1, 1), -10): (1, 13)
(6, 0, 1, (1, 1, 1), -9): (0, 20)
(6, 0, 1, (1, 1, 1), -8): (1, 31)
(6, 0, 1, (1, 1, 1), -7): (4, 71)
(6, 0, 1, (1, 1, 1), -6): (8, 115)
(6, 0, 1, (1, 1, 1), -5): (11, 170)
(6, 0, 1, (1, 1, 1), -4): (33, 255)
(6, 0, 1, (1, 1, 1), -3): (110, 391)
(6, 0, 1, (1, 1, 1), -2): (177, 550)
(6, 0, 1, (1, 1, 1), -1): (389, 805)
(6, 0, 1, (1, 1, 1), 0): (635, 1019)
(6, 0, 1, (1, 1, 1), 1): (818, 1069)
(6, 0, 1, (1, 1, 1), 2): (691, 813)
(6, 0, 1, (1, 1, 1), 3): (613, 673)
(6, 0, 1, (1, 1, 1), 4): (403, 424)
(6, 0, 1, (1, 1, 1), 5): (297, 300)
(6, 0, 1, (1, 1, 1), 6): (191, 193)
(6, 0, 1, (1, 1, 1), 7): (124, 124)
(6, 0, 1, (1, 1, 1), 8): (89, 89)
(6, 0, 1, (1, 1, 1), 9): (56, 56)
(6, 0, 1, (1, 1, 1), 10): (27, 27)
(6, 0, 1, (1, 1, 1), 11): (17, 18)
(6, 0, 1, (1, 1, 1), 12): (7, 7)
(6, 0, 1, (1, 1, 1), 13): (3, 3)
(6, 0, 1, (1, 1, 1), 14): (4, 4)
(6, 0, 1, (1, 1, 1), 15): (1, 1)
(6, 0, 1, (1, 1, 1), 16): (4, 4)
(6, 0, 1, (1, 1, 1), 17): (1, 1)
(6, 0, 1, (1, 1, 1), 18): (1, 1)
(6, 0, 1, (1, 1, 1), 19): (1, 1)
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(6, 0, 2, (0, 0, 0), -19): (0, 1)
(6, 0, 2, (0, 0, 0), -18): (0, 3)
(6, 0, 2, (0, 0, 0), -17): (0, 6)
(6, 0, 2, (0, 0, 0), -16): (0, 6)
(6, 0, 2, (0, 0, 0), -15): (0, 20)
(6, 0, 2, (0, 0, 0), -14): (0, 24)
(6, 0, 2, (0, 0, 0), -13): (0, 45)
(6, 0, 2, (0, 0, 0), -12): (0, 93)
(6, 0, 2, (0, 0, 0), -11): (0, 193)
(6, 0, 2, (0, 0, 0), -10): (1, 256)
(6, 0, 2, (0, 0, 0), -9): (3, 510)
(6, 0, 2, (0, 0, 0), -8): (2, 865)
(6, 0, 2, (0, 0, 0), -7): (10, 1443)
(6, 0, 2, (0, 0, 0), -6): (18, 2230)
(6, 0, 2, (0, 0, 0), -5): (77, 3464)
(6, 0, 2, (0, 0, 0), -4): (222, 5214)
(6, 0, 2, (0, 0, 0), -3): (578, 7498)
(6, 0, 2, (0, 0, 0), -2): (1385, 10316)
(6, 0, 2, (0, 0, 0), -1): (3304, 13760)
(6, 0, 2, (0, 0, 0), 0): (6648, 15964)
(6, 0, 2, (0, 0, 0), 1): (8233, 13541)
(6, 0, 2, (0, 0, 0), 2): (7846, 10549)
(6, 0, 2, (0, 0, 0), 3): (6594, 7772)
(6, 0, 2, (0, 0, 0), 4): (4876, 5324)
(6, 0, 2, (0, 0, 0), 5): (3424, 3591)
(6, 0, 2, (0, 0, 0), 6): (2110, 2177)
(6, 0, 2, (0, 0, 0), 7): (1296, 1322)
(6, 0, 2, (0, 0, 0), 8): (865, 870)
(6, 0, 2, (0, 0, 0), 9): (485, 487)
(6, 0, 2, (0, 0, 0), 10): (280, 280)
(6, 0, 2, (0, 0, 0), 11): (190, 190)
(6, 0, 2, (0, 0, 0), 12): (119, 120)
(6, 0, 2, (0, 0, 0), 13): (74, 74)
(6, 0, 2, (0, 0, 0), 14): (33, 33)
(6, 0, 2, (0, 0, 0), 15): (16, 16)
(6, 0, 2, (0, 0, 0), 16): (9, 9)
(6, 0, 2, (0, 0, 0), 17): (4, 4)
(6, 0, 2, (0, 0, 0), 18): (2, 2)
(6, 0, 2, (0, 0, 0), 21): (2, 2)
(6, 0, 2, (0, 0, 1), -17): (0, 1)
(6, 0, 2, (0, 0, 1), -16): (0, 1)
(6, 0, 2, (0, 0, 1), -15): (0, 5)
(6, 0, 2, (0, 0, 1), -14): (0, 2)
(6, 0, 2, (0, 0, 1), -13): (0, 1)
(6, 0, 2, (0, 0, 1), -12): (0, 12)
(6, 0, 2, (0, 0, 1), -11): (0, 14)
(6, 0, 2, (0, 0, 1), -10): (0, 24)
(6, 0, 2, (0, 0, 1), -9): (0, 38)
(6, 0, 2, (0, 0, 1), -8): (0, 62)
(6, 0, 2, (0, 0, 1), -7): (0, 108)
(6, 0, 2, (0, 0, 1), -6): (0, 177)
(6, 0, 2, (0, 0, 1), -5): (7, 304)
(6, 0, 2, (0, 0, 1), -4): (28, 436)
(6, 0, 2, (0, 0, 1), -3): (57, 639)
(6, 0, 2, (0, 0, 1), -2): (163, 940)
(6, 0, 2, (0, 0, 1), -1): (423, 1427)
(6, 0, 2, (0, 0, 1), 0): (801, 1766)
(6, 0, 2, (0, 0, 1), 1): (1013, 1602)
(6, 0, 2, (0, 0, 1), 2): (1033, 1328)
(6, 0, 2, (0, 0, 1), 3): (919, 1071)
(6, 0, 2, (0, 0, 1), 4): (761, 835)
(6, 0, 2, (0, 0, 1), 5): (537, 569)
(6, 0, 2, (0, 0, 1), 6): (361, 370)
(6, 0, 2, (0, 0, 1), 7): (187, 190)
(6, 0, 2, (0, 0, 1), 8): (133, 135)
(6, 0, 2, (0, 0, 1), 9): (87, 87)
(6, 0, 2, (0, 0, 1), 10): (43, 43)
(6, 0, 2, (0, 0, 1), 11): (29, 29)
(6, 0, 2, (0, 0, 1), 12): (27, 27)
(6, 0, 2, (0, 0, 1), 13): (11, 11)
(6, 0, 2, (0, 0, 1), 14): (5, 5)
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(6, 0, 2, (0, 0, 1), 24): (1, 1)
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(6, 0, 2, (0, 1, 0), -14): (0, 6)
(6, 0, 2, (0, 1, 0), -13): (0, 13)
(6, 0, 2, (0, 1, 0), -12): (0, 18)
(6, 0, 2, (0, 1, 0), -11): (0, 42)
(6, 0, 2, (0, 1, 0), -10): (0, 47)
(6, 0, 2, (0, 1, 0), -9): (0, 103)
(6, 0, 2, (0, 1, 0), -8): (0, 169)
(6, 0, 2, (0, 1, 0), -7): (1, 287)
(6, 0, 2, (0, 1, 0), -6): (9, 487)
(6, 0, 2, (0, 1, 0), -5): (21, 763)
(6, 0, 2, (0, 1, 0), -4): (44, 1129)
(6, 0, 2, (0, 1, 0), -3): (134, 1653)
(6, 0, 2, (0, 1, 0), -2): (363, 2426)
(6, 0, 2, (0, 1, 0), -1): (965, 3525)
(6, 0, 2, (0, 1, 0), 0): (2042, 4475)
(6, 0, 2, (0, 1, 0), 1): (2629, 4102)
(6, 0, 2, (0, 1, 0), 2): (2668, 3485)
(6, 0, 2, (0, 1, 0), 3): (2257, 2613)
(6, 0, 2, (0, 1, 0), 4): (1823, 1994)
(6, 0, 2, (0, 1, 0), 5): (1327, 1405)
(6, 0, 2, (0, 1, 0), 6): (814, 836)
(6, 0, 2, (0, 1, 0), 7): (483, 488)
(6, 0, 2, (0, 1, 0), 8): (300, 302)
(6, 0, 2, (0, 1, 0), 9): (203, 204)
(6, 0, 2, (0, 1, 0), 10): (115, 115)
(6, 0, 2, (0, 1, 0), 11): (66, 66)
(6, 0, 2, (0, 1, 0), 12): (41, 41)
(6, 0, 2, (0, 1, 0), 13): (26, 26)
(6, 0, 2, (0, 1, 0), 14): (10, 10)
(6, 0, 2, (0, 1, 0), 15): (6, 6)
(6, 0, 2, (0, 1, 0), 16): (6, 6)
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(6, 0, 2, (0, 1, 0), 18): (3, 3)
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(6, 0, 2, (0, 1, 1), -12): (0, 1)
(6, 0, 2, (0, 1, 1), -11): (0, 13)
(6, 0, 2, (0, 1, 1), -10): (0, 13)
(6, 0, 2, (0, 1, 1), -9): (0, 22)
(6, 0, 2, (0, 1, 1), -8): (0, 43)
(6, 0, 2, (0, 1, 1), -7): (1, 74)
(6, 0, 2, (0, 1, 1), -6): (3, 128)
(6, 0, 2, (0, 1, 1), -5): (10, 199)
(6, 0, 2, (0, 1, 1), -4): (20, 306)
(6, 0, 2, (0, 1, 1), -3): (51, 426)
(6, 0, 2, (0, 1, 1), -2): (134, 598)
(6, 0, 2, (0, 1, 1), -1): (236, 780)
(6, 0, 2, (0, 1, 1), 0): (512, 971)
(6, 0, 2, (0, 1, 1), 1): (687, 1015)
(6, 0, 2, (0, 1, 1), 2): (680, 863)
(6, 0, 2, (0, 1, 1), 3): (649, 740)
(6, 0, 2, (0, 1, 1), 4): (487, 529)
(6, 0, 2, (0, 1, 1), 5): (386, 409)
(6, 0, 2, (0, 1, 1), 6): (243, 250)
(6, 0, 2, (0, 1, 1), 7): (143, 146)
(6, 0, 2, (0, 1, 1), 8): (98, 101)
(6, 0, 2, (0, 1, 1), 9): (62, 62)
(6, 0, 2, (0, 1, 1), 10): (47, 48)
(6, 0, 2, (0, 1, 1), 11): (22, 22)
(6, 0, 2, (0, 1, 1), 12): (12, 12)
(6, 0, 2, (0, 1, 1), 13): (14, 14)
(6, 0, 2, (0, 1, 1), 14): (4, 4)
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(6, 0, 2, (1, 0, 0), -16): (0, 3)
(6, 0, 2, (1, 0, 0), -15): (0, 3)
(6, 0, 2, (1, 0, 0), -14): (0, 17)
(6, 0, 2, (1, 0, 0), -13): (0, 30)
(6, 0, 2, (1, 0, 0), -12): (0, 58)
(6, 0, 2, (1, 0, 0), -11): (0, 104)
(6, 0, 2, (1, 0, 0), -10): (0, 154)
(6, 0, 2, (1, 0, 0), -9): (1, 254)
(6, 0, 2, (1, 0, 0), -8): (2, 473)
(6, 0, 2, (1, 0, 0), -7): (6, 805)
(6, 0, 2, (1, 0, 0), -6): (16, 1265)
(6, 0, 2, (1, 0, 0), -5): (48, 1890)
(6, 0, 2, (1, 0, 0), -4): (137, 2866)
(6, 0, 2, (1, 0, 0), -3): (363, 4128)
(6, 0, 2, (1, 0, 0), -2): (823, 5408)
(6, 0, 2, (1, 0, 0), -1): (1815, 6982)
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(6, 0, 2, (1, 0, 0), 2): (4171, 5548)
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(6, 0, 2, (1, 0, 0), 4): (2708, 2919)
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(6, 0, 2, (1, 0, 0), 7): (852, 873)
(6, 0, 2, (1, 0, 0), 8): (572, 578)
(6, 0, 2, (1, 0, 0), 9): (346, 346)
(6, 0, 2, (1, 0, 0), 10): (207, 207)
(6, 0, 2, (1, 0, 0), 11): (129, 129)
(6, 0, 2, (1, 0, 0), 12): (68, 68)
(6, 0, 2, (1, 0, 0), 13): (47, 47)
(6, 0, 2, (1, 0, 0), 14): (26, 26)
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(6, 0, 2, (1, 0, 1), -10): (0, 23)
(6, 0, 2, (1, 0, 1), -9): (0, 42)
(6, 0, 2, (1, 0, 1), -8): (1, 69)
(6, 0, 2, (1, 0, 1), -7): (3, 135)
(6, 0, 2, (1, 0, 1), -6): (5, 196)
(6, 0, 2, (1, 0, 1), -5): (11, 345)
(6, 0, 2, (1, 0, 1), -4): (30, 487)
(6, 0, 2, (1, 0, 1), -3): (74, 721)
(6, 0, 2, (1, 0, 1), -2): (191, 1005)
(6, 0, 2, (1, 0, 1), -1): (384, 1282)
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(6, 0, 2, (1, 0, 1), 7): (257, 260)
(6, 0, 2, (1, 0, 1), 8): (156, 158)
(6, 0, 2, (1, 0, 1), 9): (92, 92)
(6, 0, 2, (1, 0, 1), 10): (57, 57)
(6, 0, 2, (1, 0, 1), 11): (36, 37)
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(6, 0, 2, (1, 1, 0), -11): (0, 38)
(6, 0, 2, (1, 1, 0), -10): (0, 76)
(6, 0, 2, (1, 1, 0), -9): (0, 99)
(6, 0, 2, (1, 1, 0), -8): (1, 161)
(6, 0, 2, (1, 1, 0), -7): (3, 297)
(6, 0, 2, (1, 1, 0), -6): (9, 473)
(6, 0, 2, (1, 1, 0), -5): (30, 771)
(6, 0, 2, (1, 1, 0), -4): (77, 1124)
(6, 0, 2, (1, 1, 0), -3): (162, 1644)
(6, 0, 2, (1, 1, 0), -2): (414, 2212)
(6, 0, 2, (1, 1, 0), -1): (847, 2847)
(6, 0, 2, (1, 1, 0), 0): (1615, 3589)
(6, 0, 2, (1, 1, 0), 1): (2109, 3308)
(6, 0, 2, (1, 1, 0), 2): (2156, 2779)
(6, 0, 2, (1, 1, 0), 3): (1787, 2061)
(6, 0, 2, (1, 1, 0), 4): (1416, 1539)
(6, 0, 2, (1, 1, 0), 5): (975, 1027)
(6, 0, 2, (1, 1, 0), 6): (711, 724)
(6, 0, 2, (1, 1, 0), 7): (473, 480)
(6, 0, 2, (1, 1, 0), 8): (300, 303)
(6, 0, 2, (1, 1, 0), 9): (182, 184)
(6, 0, 2, (1, 1, 0), 10): (118, 118)
(6, 0, 2, (1, 1, 0), 11): (75, 75)
(6, 0, 2, (1, 1, 0), 12): (41, 42)
(6, 0, 2, (1, 1, 0), 13): (25, 25)
(6, 0, 2, (1, 1, 0), 14): (16, 16)
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(6, 0, 2, (1, 1, 1), -10): (0, 14)
(6, 0, 2, (1, 1, 1), -9): (0, 18)
(6, 0, 2, (1, 1, 1), -8): (1, 38)
(6, 0, 2, (1, 1, 1), -7): (3, 76)
(6, 0, 2, (1, 1, 1), -6): (3, 119)
(6, 0, 2, (1, 1, 1), -5): (9, 205)
(6, 0, 2, (1, 1, 1), -4): (28, 315)
(6, 0, 2, (1, 1, 1), -3): (64, 498)
(6, 0, 2, (1, 1, 1), -2): (164, 674)
(6, 0, 2, (1, 1, 1), -1): (316, 919)
(6, 0, 2, (1, 1, 1), 0): (626, 1217)
(6, 0, 2, (1, 1, 1), 1): (833, 1191)
(6, 0, 2, (1, 1, 1), 2): (802, 1005)
(6, 0, 2, (1, 1, 1), 3): (661, 770)
(6, 0, 2, (1, 1, 1), 4): (501, 539)
(6, 0, 2, (1, 1, 1), 5): (359, 375)
(6, 0, 2, (1, 1, 1), 6): (250, 256)
(6, 0, 2, (1, 1, 1), 7): (163, 167)
(6, 0, 2, (1, 1, 1), 8): (87, 89)
(6, 0, 2, (1, 1, 1), 9): (56, 56)
(6, 0, 2, (1, 1, 1), 10): (44, 44)
(6, 0, 2, (1, 1, 1), 11): (27, 27)
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(6, 1, 0, (0, 0, 0), -16): (0, 24)
(6, 1, 0, (0, 0, 0), -15): (0, 29)
(6, 1, 0, (0, 0, 0), -14): (0, 74)
(6, 1, 0, (0, 0, 0), -13): (0, 150)
(6, 1, 0, (0, 0, 0), -12): (2, 243)
(6, 1, 0, (0, 0, 0), -11): (1, 382)
(6, 1, 0, (0, 0, 0), -10): (0, 638)
(6, 1, 0, (0, 0, 0), -9): (4, 1051)
(6, 1, 0, (0, 0, 0), -8): (18, 1768)
(6, 1, 0, (0, 0, 0), -7): (45, 2748)
(6, 1, 0, (0, 0, 0), -6): (135, 4472)
(6, 1, 0, (0, 0, 0), -5): (400, 7070)
(6, 1, 0, (0, 0, 0), -4): (919, 10142)
(6, 1, 0, (0, 0, 0), -3): (2268, 14330)
(6, 1, 0, (0, 0, 0), -2): (5101, 19413)
(6, 1, 0, (0, 0, 0), -1): (9760, 24076)
(6, 1, 0, (0, 0, 0), 0): (16230, 26941)
(6, 1, 0, (0, 0, 0), 1): (17943, 23102)
(6, 1, 0, (0, 0, 0), 2): (15642, 17872)
(6, 1, 0, (0, 0, 0), 3): (12097, 12967)
(6, 1, 0, (0, 0, 0), 4): (8733, 9060)
(6, 1, 0, (0, 0, 0), 5): (5892, 6022)
(6, 1, 0, (0, 0, 0), 6): (3855, 3880)
(6, 1, 0, (0, 0, 0), 7): (2435, 2449)
(6, 1, 0, (0, 0, 0), 8): (1455, 1458)
(6, 1, 0, (0, 0, 0), 9): (901, 902)
(6, 1, 0, (0, 0, 0), 10): (504, 505)
(6, 1, 0, (0, 0, 0), 11): (326, 326)
(6, 1, 0, (0, 0, 0), 12): (175, 175)
(6, 1, 0, (0, 0, 0), 13): (83, 83)
(6, 1, 0, (0, 0, 0), 14): (50, 50)
(6, 1, 0, (0, 0, 0), 15): (33, 33)
(6, 1, 0, (0, 0, 0), 16): (14, 14)
(6, 1, 0, (0, 0, 0), 17): (10, 10)
(6, 1, 0, (0, 0, 0), 18): (3, 3)
(6, 1, 0, (0, 0, 0), 19): (3, 3)
(6, 1, 0, (0, 0, 0), 20): (2, 2)
(6, 1, 0, (0, 0, 1), -17): (0, 2)
(6, 1, 0, (0, 0, 1), -12): (1, 3)
(6, 1, 0, (0, 0, 1), -11): (0, 4)
(6, 1, 0, (0, 0, 1), -10): (0, 8)
(6, 1, 0, (0, 0, 1), -9): (0, 14)
(6, 1, 0, (0, 0, 1), -8): (1, 17)
(6, 1, 0, (0, 0, 1), -7): (1, 37)
(6, 1, 0, (0, 0, 1), -6): (3, 55)
(6, 1, 0, (0, 0, 1), -5): (11, 95)
(6, 1, 0, (0, 0, 1), -4): (21, 132)
(6, 1, 0, (0, 0, 1), -3): (54, 186)
(6, 1, 0, (0, 0, 1), -2): (98, 266)
(6, 1, 0, (0, 0, 1), -1): (194, 310)
(6, 1, 0, (0, 0, 1), 0): (290, 370)
(6, 1, 0, (0, 0, 1), 1): (322, 385)
(6, 1, 0, (0, 0, 1), 2): (308, 333)
(6, 1, 0, (0, 0, 1), 3): (244, 256)
(6, 1, 0, (0, 0, 1), 4): (164, 167)
(6, 1, 0, (0, 0, 1), 5): (118, 125)
(6, 1, 0, (0, 0, 1), 6): (90, 90)
(6, 1, 0, (0, 0, 1), 7): (50, 50)
(6, 1, 0, (0, 0, 1), 8): (40, 40)
(6, 1, 0, (0, 0, 1), 9): (34, 34)
(6, 1, 0, (0, 0, 1), 10): (12, 12)
(6, 1, 0, (0, 0, 1), 11): (10, 10)
(6, 1, 0, (0, 0, 1), 12): (6, 6)
(6, 1, 0, (0, 0, 1), 14): (1, 1)
(6, 1, 0, (0, 1, 0), -18): (0, 1)
(6, 1, 0, (0, 1, 0), -17): (0, 2)
(6, 1, 0, (0, 1, 0), -16): (0, 1)
(6, 1, 0, (0, 1, 0), -15): (0, 2)
(6, 1, 0, (0, 1, 0), -14): (0, 1)
(6, 1, 0, (0, 1, 0), -13): (0, 7)
(6, 1, 0, (0, 1, 0), -12): (0, 22)
(6, 1, 0, (0, 1, 0), -11): (0, 26)
(6, 1, 0, (0, 1, 0), -10): (0, 45)
(6, 1, 0, (0, 1, 0), -9): (0, 61)
(6, 1, 0, (0, 1, 0), -8): (3, 122)
(6, 1, 0, (0, 1, 0), -7): (7, 169)
(6, 1, 0, (0, 1, 0), -6): (16, 280)
(6, 1, 0, (0, 1, 0), -5): (34, 442)
(6, 1, 0, (0, 1, 0), -4): (98, 703)
(6, 1, 0, (0, 1, 0), -3): (217, 950)
(6, 1, 0, (0, 1, 0), -2): (455, 1257)
(6, 1, 0, (0, 1, 0), -1): (849, 1642)
(6, 1, 0, (0, 1, 0), 0): (1300, 1864)
(6, 1, 0, (0, 1, 0), 1): (1550, 1847)
(6, 1, 0, (0, 1, 0), 2): (1304, 1455)
(6, 1, 0, (0, 1, 0), 3): (1069, 1132)
(6, 1, 0, (0, 1, 0), 4): (769, 786)
(6, 1, 0, (0, 1, 0), 5): (528, 533)
(6, 1, 0, (0, 1, 0), 6): (316, 319)
(6, 1, 0, (0, 1, 0), 7): (186, 187)
(6, 1, 0, (0, 1, 0), 8): (126, 126)
(6, 1, 0, (0, 1, 0), 9): (72, 72)
(6, 1, 0, (0, 1, 0), 10): (50, 50)
(6, 1, 0, (0, 1, 0), 11): (32, 32)
(6, 1, 0, (0, 1, 0), 12): (23, 23)
(6, 1, 0, (0, 1, 0), 13): (6, 6)
(6, 1, 0, (0, 1, 0), 14): (7, 7)
(6, 1, 0, (0, 1, 0), 15): (5, 5)
(6, 1, 0, (0, 1, 0), 16): (1, 1)
(6, 1, 0, (0, 1, 0), 17): (1, 1)
(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, 5)
(6, 1, 0, (0, 1, 1), -11): (0, 4)
(6, 1, 0, (0, 1, 1), -10): (0, 7)
(6, 1, 0, (0, 1, 1), -9): (0, 7)
(6, 1, 0, (0, 1, 1), -8): (1, 21)
(6, 1, 0, (0, 1, 1), -7): (0, 45)
(6, 1, 0, (0, 1, 1), -6): (3, 62)
(6, 1, 0, (0, 1, 1), -5): (15, 104)
(6, 1, 0, (0, 1, 1), -4): (34, 133)
(6, 1, 0, (0, 1, 1), -3): (79, 207)
(6, 1, 0, (0, 1, 1), -2): (111, 272)
(6, 1, 0, (0, 1, 1), -1): (211, 315)
(6, 1, 0, (0, 1, 1), 0): (284, 352)
(6, 1, 0, (0, 1, 1), 1): (308, 343)
(6, 1, 0, (0, 1, 1), 2): (260, 275)
(6, 1, 0, (0, 1, 1), 3): (215, 224)
(6, 1, 0, (0, 1, 1), 4): (155, 157)
(6, 1, 0, (0, 1, 1), 5): (123, 124)
(6, 1, 0, (0, 1, 1), 6): (89, 90)
(6, 1, 0, (0, 1, 1), 7): (58, 58)
(6, 1, 0, (0, 1, 1), 8): (35, 35)
(6, 1, 0, (0, 1, 1), 9): (31, 31)
(6, 1, 0, (0, 1, 1), 10): (14, 14)
(6, 1, 0, (0, 1, 1), 11): (8, 8)
(6, 1, 0, (0, 1, 1), 12): (8, 8)
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(6, 1, 0, (1, 0, 0), -19): (0, 1)
(6, 1, 0, (1, 0, 0), -18): (0, 1)
(6, 1, 0, (1, 0, 0), -17): (0, 6)
(6, 1, 0, (1, 0, 0), -16): (0, 6)
(6, 1, 0, (1, 0, 0), -15): (0, 4)
(6, 1, 0, (1, 0, 0), -14): (0, 14)
(6, 1, 0, (1, 0, 0), -13): (0, 42)
(6, 1, 0, (1, 0, 0), -12): (0, 66)
(6, 1, 0, (1, 0, 0), -11): (1, 84)
(6, 1, 0, (1, 0, 0), -10): (0, 149)
(6, 1, 0, (1, 0, 0), -9): (1, 258)
(6, 1, 0, (1, 0, 0), -8): (7, 484)
(6, 1, 0, (1, 0, 0), -7): (18, 688)
(6, 1, 0, (1, 0, 0), -6): (51, 1188)
(6, 1, 0, (1, 0, 0), -5): (163, 1874)
(6, 1, 0, (1, 0, 0), -4): (332, 2613)
(6, 1, 0, (1, 0, 0), -3): (762, 3619)
(6, 1, 0, (1, 0, 0), -2): (1632, 5099)
(6, 1, 0, (1, 0, 0), -1): (3056, 6378)
(6, 1, 0, (1, 0, 0), 0): (4552, 7028)
(6, 1, 0, (1, 0, 0), 1): (4898, 6068)
(6, 1, 0, (1, 0, 0), 2): (4310, 4813)
(6, 1, 0, (1, 0, 0), 3): (3280, 3520)
(6, 1, 0, (1, 0, 0), 4): (2352, 2426)
(6, 1, 0, (1, 0, 0), 5): (1615, 1650)
(6, 1, 0, (1, 0, 0), 6): (1109, 1118)
(6, 1, 0, (1, 0, 0), 7): (641, 645)
(6, 1, 0, (1, 0, 0), 8): (437, 439)
(6, 1, 0, (1, 0, 0), 9): (286, 286)
(6, 1, 0, (1, 0, 0), 10): (138, 139)
(6, 1, 0, (1, 0, 0), 11): (101, 101)
(6, 1, 0, (1, 0, 0), 12): (52, 52)
(6, 1, 0, (1, 0, 0), 13): (24, 24)
(6, 1, 0, (1, 0, 0), 14): (13, 13)
(6, 1, 0, (1, 0, 0), 15): (9, 9)
(6, 1, 0, (1, 0, 0), 16): (3, 3)
(6, 1, 0, (1, 0, 0), 17): (3, 3)
(6, 1, 0, (1, 0, 0), 18): (1, 1)
(6, 1, 0, (1, 0, 0), 19): (2, 2)
(6, 1, 0, (1, 0, 1), -17): (0, 2)
(6, 1, 0, (1, 0, 1), -16): (0, 1)
(6, 1, 0, (1, 0, 1), -15): (0, 1)
(6, 1, 0, (1, 0, 1), -13): (0, 1)
(6, 1, 0, (1, 0, 1), -12): (0, 2)
(6, 1, 0, (1, 0, 1), -11): (0, 8)
(6, 1, 0, (1, 0, 1), -10): (0, 17)
(6, 1, 0, (1, 0, 1), -9): (0, 24)
(6, 1, 0, (1, 0, 1), -8): (1, 34)
(6, 1, 0, (1, 0, 1), -7): (2, 49)
(6, 1, 0, (1, 0, 1), -6): (5, 92)
(6, 1, 0, (1, 0, 1), -5): (19, 155)
(6, 1, 0, (1, 0, 1), -4): (39, 223)
(6, 1, 0, (1, 0, 1), -3): (77, 295)
(6, 1, 0, (1, 0, 1), -2): (205, 425)
(6, 1, 0, (1, 0, 1), -1): (379, 598)
(6, 1, 0, (1, 0, 1), 0): (493, 654)
(6, 1, 0, (1, 0, 1), 1): (482, 550)
(6, 1, 0, (1, 0, 1), 2): (478, 510)
(6, 1, 0, (1, 0, 1), 3): (351, 368)
(6, 1, 0, (1, 0, 1), 4): (269, 271)
(6, 1, 0, (1, 0, 1), 5): (173, 173)
(6, 1, 0, (1, 0, 1), 6): (146, 146)
(6, 1, 0, (1, 0, 1), 7): (71, 72)
(6, 1, 0, (1, 0, 1), 8): (53, 53)
(6, 1, 0, (1, 0, 1), 9): (31, 31)
(6, 1, 0, (1, 0, 1), 10): (17, 17)
(6, 1, 0, (1, 0, 1), 11): (16, 16)
(6, 1, 0, (1, 0, 1), 12): (7, 7)
(6, 1, 0, (1, 0, 1), 13): (2, 2)
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(6, 1, 0, (1, 1, 0), -16): (0, 4)
(6, 1, 0, (1, 1, 0), -15): (0, 1)
(6, 1, 0, (1, 1, 0), -14): (0, 2)
(6, 1, 0, (1, 1, 0), -13): (0, 5)
(6, 1, 0, (1, 1, 0), -12): (0, 26)
(6, 1, 0, (1, 1, 0), -11): (0, 27)
(6, 1, 0, (1, 1, 0), -10): (0, 37)
(6, 1, 0, (1, 1, 0), -9): (1, 63)
(6, 1, 0, (1, 1, 0), -8): (1, 112)
(6, 1, 0, (1, 1, 0), -7): (5, 183)
(6, 1, 0, (1, 1, 0), -6): (21, 300)
(6, 1, 0, (1, 1, 0), -5): (61, 474)
(6, 1, 0, (1, 1, 0), -4): (148, 713)
(6, 1, 0, (1, 1, 0), -3): (297, 978)
(6, 1, 0, (1, 1, 0), -2): (521, 1264)
(6, 1, 0, (1, 1, 0), -1): (823, 1385)
(6, 1, 0, (1, 1, 0), 0): (1023, 1411)
(6, 1, 0, (1, 1, 0), 1): (1095, 1299)
(6, 1, 0, (1, 1, 0), 2): (984, 1082)
(6, 1, 0, (1, 1, 0), 3): (740, 771)
(6, 1, 0, (1, 1, 0), 4): (564, 577)
(6, 1, 0, (1, 1, 0), 5): (415, 421)
(6, 1, 0, (1, 1, 0), 6): (318, 319)
(6, 1, 0, (1, 1, 0), 7): (197, 197)
(6, 1, 0, (1, 1, 0), 8): (133, 133)
(6, 1, 0, (1, 1, 0), 9): (82, 82)
(6, 1, 0, (1, 1, 0), 10): (40, 40)
(6, 1, 0, (1, 1, 0), 11): (27, 27)
(6, 1, 0, (1, 1, 0), 12): (17, 17)
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(6, 1, 0, (1, 1, 0), 14): (3, 3)
(6, 1, 0, (1, 1, 0), 15): (2, 2)
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(6, 1, 0, (1, 1, 1), -10): (0, 6)
(6, 1, 0, (1, 1, 1), -9): (0, 7)
(6, 1, 0, (1, 1, 1), -8): (1, 20)
(6, 1, 0, (1, 1, 1), -7): (2, 34)
(6, 1, 0, (1, 1, 1), -6): (5, 68)
(6, 1, 0, (1, 1, 1), -5): (19, 98)
(6, 1, 0, (1, 1, 1), -4): (51, 152)
(6, 1, 0, (1, 1, 1), -3): (94, 209)
(6, 1, 0, (1, 1, 1), -2): (147, 281)
(6, 1, 0, (1, 1, 1), -1): (244, 350)
(6, 1, 0, (1, 1, 1), 0): (305, 387)
(6, 1, 0, (1, 1, 1), 1): (337, 380)
(6, 1, 0, (1, 1, 1), 2): (306, 316)
(6, 1, 0, (1, 1, 1), 3): (230, 234)
(6, 1, 0, (1, 1, 1), 4): (179, 181)
(6, 1, 0, (1, 1, 1), 5): (118, 118)
(6, 1, 0, (1, 1, 1), 6): (104, 104)
(6, 1, 0, (1, 1, 1), 7): (60, 60)
(6, 1, 0, (1, 1, 1), 8): (42, 42)
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(6, 1, 1, (0, 0, 0), -17): (0, 10)
(6, 1, 1, (0, 0, 0), -16): (0, 19)
(6, 1, 1, (0, 0, 0), -15): (0, 25)
(6, 1, 1, (0, 0, 0), -14): (0, 58)
(6, 1, 1, (0, 0, 0), -13): (0, 101)
(6, 1, 1, (0, 0, 0), -12): (1, 154)
(6, 1, 1, (0, 0, 0), -11): (0, 271)
(6, 1, 1, (0, 0, 0), -10): (0, 448)
(6, 1, 1, (0, 0, 0), -9): (3, 727)
(6, 1, 1, (0, 0, 0), -8): (7, 1162)
(6, 1, 1, (0, 0, 0), -7): (23, 1896)
(6, 1, 1, (0, 0, 0), -6): (64, 3024)
(6, 1, 1, (0, 0, 0), -5): (198, 4766)
(6, 1, 1, (0, 0, 0), -4): (485, 6939)
(6, 1, 1, (0, 0, 0), -3): (1282, 9900)
(6, 1, 1, (0, 0, 0), -2): (3001, 13294)
(6, 1, 1, (0, 0, 0), -1): (5970, 16718)
(6, 1, 1, (0, 0, 0), 0): (10782, 18941)
(6, 1, 1, (0, 0, 0), 1): (12274, 16261)
(6, 1, 1, (0, 0, 0), 2): (10948, 12685)
(6, 1, 1, (0, 0, 0), 3): (8685, 9333)
(6, 1, 1, (0, 0, 0), 4): (6427, 6687)
(6, 1, 1, (0, 0, 0), 5): (4299, 4398)
(6, 1, 1, (0, 0, 0), 6): (2814, 2834)
(6, 1, 1, (0, 0, 0), 7): (1837, 1846)
(6, 1, 1, (0, 0, 0), 8): (1088, 1089)
(6, 1, 1, (0, 0, 0), 9): (670, 671)
(6, 1, 1, (0, 0, 0), 10): (412, 412)
(6, 1, 1, (0, 0, 0), 11): (249, 249)
(6, 1, 1, (0, 0, 0), 12): (145, 145)
(6, 1, 1, (0, 0, 0), 13): (74, 74)
(6, 1, 1, (0, 0, 0), 14): (46, 46)
(6, 1, 1, (0, 0, 0), 15): (24, 24)
(6, 1, 1, (0, 0, 0), 16): (14, 14)
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(6, 1, 1, (0, 0, 1), -13): (0, 3)
(6, 1, 1, (0, 0, 1), -12): (1, 8)
(6, 1, 1, (0, 0, 1), -11): (1, 21)
(6, 1, 1, (0, 0, 1), -10): (0, 17)
(6, 1, 1, (0, 0, 1), -9): (0, 23)
(6, 1, 1, (0, 0, 1), -8): (0, 49)
(6, 1, 1, (0, 0, 1), -7): (1, 64)
(6, 1, 1, (0, 0, 1), -6): (5, 132)
(6, 1, 1, (0, 0, 1), -5): (9, 201)
(6, 1, 1, (0, 0, 1), -4): (36, 347)
(6, 1, 1, (0, 0, 1), -3): (93, 492)
(6, 1, 1, (0, 0, 1), -2): (242, 721)
(6, 1, 1, (0, 0, 1), -1): (517, 1002)
(6, 1, 1, (0, 0, 1), 0): (839, 1200)
(6, 1, 1, (0, 0, 1), 1): (1103, 1338)
(6, 1, 1, (0, 0, 1), 2): (911, 1017)
(6, 1, 1, (0, 0, 1), 3): (784, 828)
(6, 1, 1, (0, 0, 1), 4): (608, 618)
(6, 1, 1, (0, 0, 1), 5): (443, 453)
(6, 1, 1, (0, 0, 1), 6): (257, 260)
(6, 1, 1, (0, 0, 1), 7): (168, 168)
(6, 1, 1, (0, 0, 1), 8): (109, 109)
(6, 1, 1, (0, 0, 1), 9): (62, 62)
(6, 1, 1, (0, 0, 1), 10): (40, 40)
(6, 1, 1, (0, 0, 1), 11): (18, 18)
(6, 1, 1, (0, 0, 1), 12): (9, 9)
(6, 1, 1, (0, 0, 1), 13): (11, 11)
(6, 1, 1, (0, 0, 1), 14): (5, 5)
(6, 1, 1, (0, 0, 1), 15): (4, 4)
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(6, 1, 1, (0, 1, 0), -14): (0, 5)
(6, 1, 1, (0, 1, 0), -13): (0, 12)
(6, 1, 1, (0, 1, 0), -12): (0, 15)
(6, 1, 1, (0, 1, 0), -11): (0, 32)
(6, 1, 1, (0, 1, 0), -10): (0, 60)
(6, 1, 1, (0, 1, 0), -9): (0, 102)
(6, 1, 1, (0, 1, 0), -8): (2, 175)
(6, 1, 1, (0, 1, 0), -7): (7, 269)
(6, 1, 1, (0, 1, 0), -6): (17, 409)
(6, 1, 1, (0, 1, 0), -5): (41, 707)
(6, 1, 1, (0, 1, 0), -4): (97, 1015)
(6, 1, 1, (0, 1, 0), -3): (230, 1373)
(6, 1, 1, (0, 1, 0), -2): (583, 1968)
(6, 1, 1, (0, 1, 0), -1): (1432, 3233)
(6, 1, 1, (0, 1, 0), 0): (2502, 3965)
(6, 1, 1, (0, 1, 0), 1): (2789, 3508)
(6, 1, 1, (0, 1, 0), 2): (2535, 2860)
(6, 1, 1, (0, 1, 0), 3): (2155, 2294)
(6, 1, 1, (0, 1, 0), 4): (1573, 1612)
(6, 1, 1, (0, 1, 0), 5): (1139, 1161)
(6, 1, 1, (0, 1, 0), 6): (689, 697)
(6, 1, 1, (0, 1, 0), 7): (431, 433)
(6, 1, 1, (0, 1, 0), 8): (252, 253)
(6, 1, 1, (0, 1, 0), 9): (164, 164)
(6, 1, 1, (0, 1, 0), 10): (96, 96)
(6, 1, 1, (0, 1, 0), 11): (66, 66)
(6, 1, 1, (0, 1, 0), 12): (40, 40)
(6, 1, 1, (0, 1, 0), 13): (19, 19)
(6, 1, 1, (0, 1, 0), 14): (12, 12)
(6, 1, 1, (0, 1, 0), 15): (10, 10)
(6, 1, 1, (0, 1, 0), 17): (3, 3)
(6, 1, 1, (0, 1, 0), 19): (1, 1)
(6, 1, 1, (0, 1, 0), 20): (1, 1)
(6, 1, 1, (0, 1, 1), -16): (0, 3)
(6, 1, 1, (0, 1, 1), -15): (0, 3)
(6, 1, 1, (0, 1, 1), -13): (0, 1)
(6, 1, 1, (0, 1, 1), -12): (0, 9)
(6, 1, 1, (0, 1, 1), -11): (0, 10)
(6, 1, 1, (0, 1, 1), -10): (0, 14)
(6, 1, 1, (0, 1, 1), -9): (0, 29)
(6, 1, 1, (0, 1, 1), -8): (2, 52)
(6, 1, 1, (0, 1, 1), -7): (3, 73)
(6, 1, 1, (0, 1, 1), -6): (4, 117)
(6, 1, 1, (0, 1, 1), -5): (14, 180)
(6, 1, 1, (0, 1, 1), -4): (48, 278)
(6, 1, 1, (0, 1, 1), -3): (132, 445)
(6, 1, 1, (0, 1, 1), -2): (281, 741)
(6, 1, 1, (0, 1, 1), -1): (530, 901)
(6, 1, 1, (0, 1, 1), 0): (702, 961)
(6, 1, 1, (0, 1, 1), 1): (879, 1037)
(6, 1, 1, (0, 1, 1), 2): (796, 871)
(6, 1, 1, (0, 1, 1), 3): (648, 686)
(6, 1, 1, (0, 1, 1), 4): (500, 514)
(6, 1, 1, (0, 1, 1), 5): (367, 369)
(6, 1, 1, (0, 1, 1), 6): (267, 269)
(6, 1, 1, (0, 1, 1), 7): (157, 157)
(6, 1, 1, (0, 1, 1), 8): (89, 89)
(6, 1, 1, (0, 1, 1), 9): (73, 74)
(6, 1, 1, (0, 1, 1), 10): (39, 39)
(6, 1, 1, (0, 1, 1), 11): (28, 28)
(6, 1, 1, (0, 1, 1), 12): (15, 15)
(6, 1, 1, (0, 1, 1), 13): (8, 8)
(6, 1, 1, (0, 1, 1), 14): (4, 4)
(6, 1, 1, (0, 1, 1), 15): (5, 5)
(6, 1, 1, (0, 1, 1), 16): (1, 1)
(6, 1, 1, (0, 1, 1), 17): (1, 1)
(6, 1, 1, (0, 1, 1), 18): (1, 1)
(6, 1, 1, (1, 0, 0), -23): (0, 1)
(6, 1, 1, (1, 0, 0), -21): (0, 2)
(6, 1, 1, (1, 0, 0), -19): (0, 1)
(6, 1, 1, (1, 0, 0), -18): (0, 1)
(6, 1, 1, (1, 0, 0), -17): (0, 6)
(6, 1, 1, (1, 0, 0), -16): (0, 11)
(6, 1, 1, (1, 0, 0), -15): (0, 9)
(6, 1, 1, (1, 0, 0), -14): (0, 25)
(6, 1, 1, (1, 0, 0), -13): (0, 56)
(6, 1, 1, (1, 0, 0), -12): (0, 72)
(6, 1, 1, (1, 0, 0), -11): (0, 118)
(6, 1, 1, (1, 0, 0), -10): (0, 183)
(6, 1, 1, (1, 0, 0), -9): (2, 311)
(6, 1, 1, (1, 0, 0), -8): (2, 522)
(6, 1, 1, (1, 0, 0), -7): (16, 836)
(6, 1, 1, (1, 0, 0), -6): (48, 1392)
(6, 1, 1, (1, 0, 0), -5): (126, 2093)
(6, 1, 1, (1, 0, 0), -4): (280, 3119)
(6, 1, 1, (1, 0, 0), -3): (703, 4386)
(6, 1, 1, (1, 0, 0), -2): (1609, 5856)
(6, 1, 1, (1, 0, 0), -1): (2914, 6999)
(6, 1, 1, (1, 0, 0), 0): (4718, 7815)
(6, 1, 1, (1, 0, 0), 1): (5385, 6904)
(6, 1, 1, (1, 0, 0), 2): (4827, 5506)
(6, 1, 1, (1, 0, 0), 3): (3870, 4145)
(6, 1, 1, (1, 0, 0), 4): (2929, 3040)
(6, 1, 1, (1, 0, 0), 5): (1970, 2006)
(6, 1, 1, (1, 0, 0), 6): (1354, 1365)
(6, 1, 1, (1, 0, 0), 7): (926, 933)
(6, 1, 1, (1, 0, 0), 8): (576, 577)
(6, 1, 1, (1, 0, 0), 9): (374, 375)
(6, 1, 1, (1, 0, 0), 10): (207, 208)
(6, 1, 1, (1, 0, 0), 11): (119, 119)
(6, 1, 1, (1, 0, 0), 12): (73, 73)
(6, 1, 1, (1, 0, 0), 13): (40, 40)
(6, 1, 1, (1, 0, 0), 14): (22, 22)
(6, 1, 1, (1, 0, 0), 15): (17, 17)
(6, 1, 1, (1, 0, 0), 16): (9, 9)
(6, 1, 1, (1, 0, 0), 17): (5, 5)
(6, 1, 1, (1, 0, 0), 18): (1, 1)
(6, 1, 1, (1, 0, 0), 19): (2, 2)
(6, 1, 1, (1, 0, 1), -19): (0, 1)
(6, 1, 1, (1, 0, 1), -16): (0, 1)
(6, 1, 1, (1, 0, 1), -15): (0, 3)
(6, 1, 1, (1, 0, 1), -14): (0, 6)
(6, 1, 1, (1, 0, 1), -13): (0, 6)
(6, 1, 1, (1, 0, 1), -12): (0, 7)
(6, 1, 1, (1, 0, 1), -11): (0, 17)
(6, 1, 1, (1, 0, 1), -10): (0, 29)
(6, 1, 1, (1, 0, 1), -9): (0, 56)
(6, 1, 1, (1, 0, 1), -8): (1, 67)
(6, 1, 1, (1, 0, 1), -7): (0, 99)
(6, 1, 1, (1, 0, 1), -6): (5, 166)
(6, 1, 1, (1, 0, 1), -5): (26, 269)
(6, 1, 1, (1, 0, 1), -4): (61, 420)
(6, 1, 1, (1, 0, 1), -3): (157, 594)
(6, 1, 1, (1, 0, 1), -2): (330, 853)
(6, 1, 1, (1, 0, 1), -1): (578, 1112)
(6, 1, 1, (1, 0, 1), 0): (1001, 1407)
(6, 1, 1, (1, 0, 1), 1): (1093, 1312)
(6, 1, 1, (1, 0, 1), 2): (994, 1087)
(6, 1, 1, (1, 0, 1), 3): (795, 842)
(6, 1, 1, (1, 0, 1), 4): (586, 594)
(6, 1, 1, (1, 0, 1), 5): (411, 417)
(6, 1, 1, (1, 0, 1), 6): (350, 351)
(6, 1, 1, (1, 0, 1), 7): (200, 202)
(6, 1, 1, (1, 0, 1), 8): (111, 112)
(6, 1, 1, (1, 0, 1), 9): (67, 67)
(6, 1, 1, (1, 0, 1), 10): (58, 58)
(6, 1, 1, (1, 0, 1), 11): (30, 30)
(6, 1, 1, (1, 0, 1), 12): (16, 16)
(6, 1, 1, (1, 0, 1), 13): (10, 10)
(6, 1, 1, (1, 0, 1), 14): (6, 6)
(6, 1, 1, (1, 0, 1), 15): (2, 2)
(6, 1, 1, (1, 0, 1), 16): (2, 2)
(6, 1, 1, (1, 0, 1), 17): (1, 1)
(6, 1, 1, (1, 1, 0), -17): (0, 2)
(6, 1, 1, (1, 1, 0), -16): (0, 6)
(6, 1, 1, (1, 1, 0), -15): (0, 6)
(6, 1, 1, (1, 1, 0), -14): (0, 11)
(6, 1, 1, (1, 1, 0), -13): (0, 13)
(6, 1, 1, (1, 1, 0), -12): (0, 34)
(6, 1, 1, (1, 1, 0), -11): (0, 31)
(6, 1, 1, (1, 1, 0), -10): (0, 72)
(6, 1, 1, (1, 1, 0), -9): (0, 106)
(6, 1, 1, (1, 1, 0), -8): (0, 173)
(6, 1, 1, (1, 1, 0), -7): (9, 309)
(6, 1, 1, (1, 1, 0), -6): (31, 508)
(6, 1, 1, (1, 1, 0), -5): (68, 751)
(6, 1, 1, (1, 1, 0), -4): (149, 1144)
(6, 1, 1, (1, 1, 0), -3): (310, 1499)
(6, 1, 1, (1, 1, 0), -2): (665, 1954)
(6, 1, 1, (1, 1, 0), -1): (1222, 2432)
(6, 1, 1, (1, 1, 0), 0): (1812, 2772)
(6, 1, 1, (1, 1, 0), 1): (2107, 2571)
(6, 1, 1, (1, 1, 0), 2): (1847, 2089)
(6, 1, 1, (1, 1, 0), 3): (1512, 1617)
(6, 1, 1, (1, 1, 0), 4): (1161, 1199)
(6, 1, 1, (1, 1, 0), 5): (900, 916)
(6, 1, 1, (1, 1, 0), 6): (624, 632)
(6, 1, 1, (1, 1, 0), 7): (432, 434)
(6, 1, 1, (1, 1, 0), 8): (261, 263)
(6, 1, 1, (1, 1, 0), 9): (168, 169)
(6, 1, 1, (1, 1, 0), 10): (106, 106)
(6, 1, 1, (1, 1, 0), 11): (60, 60)
(6, 1, 1, (1, 1, 0), 12): (47, 47)
(6, 1, 1, (1, 1, 0), 13): (13, 13)
(6, 1, 1, (1, 1, 0), 14): (7, 7)
(6, 1, 1, (1, 1, 0), 15): (5, 5)
(6, 1, 1, (1, 1, 0), 16): (5, 5)
(6, 1, 1, (1, 1, 0), 17): (3, 3)
(6, 1, 1, (1, 1, 1), -16): (0, 2)
(6, 1, 1, (1, 1, 1), -15): (0, 2)
(6, 1, 1, (1, 1, 1), -14): (0, 3)
(6, 1, 1, (1, 1, 1), -13): (0, 4)
(6, 1, 1, (1, 1, 1), -12): (0, 6)
(6, 1, 1, (1, 1, 1), -11): (0, 8)
(6, 1, 1, (1, 1, 1), -10): (0, 10)
(6, 1, 1, (1, 1, 1), -9): (0, 14)
(6, 1, 1, (1, 1, 1), -8): (1, 52)
(6, 1, 1, (1, 1, 1), -7): (3, 64)
(6, 1, 1, (1, 1, 1), -6): (10, 137)
(6, 1, 1, (1, 1, 1), -5): (25, 179)
(6, 1, 1, (1, 1, 1), -4): (58, 298)
(6, 1, 1, (1, 1, 1), -3): (136, 427)
(6, 1, 1, (1, 1, 1), -2): (254, 585)
(6, 1, 1, (1, 1, 1), -1): (528, 886)
(6, 1, 1, (1, 1, 1), 0): (894, 1219)
(6, 1, 1, (1, 1, 1), 1): (955, 1116)
(6, 1, 1, (1, 1, 1), 2): (933, 1000)
(6, 1, 1, (1, 1, 1), 3): (712, 742)
(6, 1, 1, (1, 1, 1), 4): (502, 512)
(6, 1, 1, (1, 1, 1), 5): (367, 371)
(6, 1, 1, (1, 1, 1), 6): (287, 288)
(6, 1, 1, (1, 1, 1), 7): (184, 184)
(6, 1, 1, (1, 1, 1), 8): (105, 106)
(6, 1, 1, (1, 1, 1), 9): (61, 61)
(6, 1, 1, (1, 1, 1), 10): (32, 32)
(6, 1, 1, (1, 1, 1), 11): (24, 24)
(6, 1, 1, (1, 1, 1), 12): (24, 24)
(6, 1, 1, (1, 1, 1), 13): (7, 7)
(6, 1, 1, (1, 1, 1), 14): (7, 7)
(6, 1, 1, (1, 1, 1), 18): (1, 1)
(6, 1, 2, (0, 0, 0), -24): (0, 1)
(6, 1, 2, (0, 0, 0), -20): (0, 2)
(6, 1, 2, (0, 0, 0), -19): (0, 2)
(6, 1, 2, (0, 0, 0), -18): (0, 3)
(6, 1, 2, (0, 0, 0), -17): (0, 8)
(6, 1, 2, (0, 0, 0), -16): (0, 9)
(6, 1, 2, (0, 0, 0), -15): (0, 17)
(6, 1, 2, (0, 0, 0), -14): (0, 37)
(6, 1, 2, (0, 0, 0), -13): (0, 70)
(6, 1, 2, (0, 0, 0), -12): (1, 123)
(6, 1, 2, (0, 0, 0), -11): (1, 179)
(6, 1, 2, (0, 0, 0), -10): (1, 333)
(6, 1, 2, (0, 0, 0), -9): (1, 559)
(6, 1, 2, (0, 0, 0), -8): (6, 896)
(6, 1, 2, (0, 0, 0), -7): (12, 1385)
(6, 1, 2, (0, 0, 0), -6): (33, 2236)
(6, 1, 2, (0, 0, 0), -5): (117, 3559)
(6, 1, 2, (0, 0, 0), -4): (294, 5095)
(6, 1, 2, (0, 0, 0), -3): (797, 7435)
(6, 1, 2, (0, 0, 0), -2): (1950, 10051)
(6, 1, 2, (0, 0, 0), -1): (4041, 12751)
(6, 1, 2, (0, 0, 0), 0): (7937, 14596)
(6, 1, 2, (0, 0, 0), 1): (9485, 12842)
(6, 1, 2, (0, 0, 0), 2): (8761, 10281)
(6, 1, 2, (0, 0, 0), 3): (7071, 7666)
(6, 1, 2, (0, 0, 0), 4): (5229, 5452)
(6, 1, 2, (0, 0, 0), 5): (3628, 3719)
(6, 1, 2, (0, 0, 0), 6): (2436, 2458)
(6, 1, 2, (0, 0, 0), 7): (1543, 1550)
(6, 1, 2, (0, 0, 0), 8): (966, 968)
(6, 1, 2, (0, 0, 0), 9): (606, 606)
(6, 1, 2, (0, 0, 0), 10): (386, 386)
(6, 1, 2, (0, 0, 0), 11): (254, 254)
(6, 1, 2, (0, 0, 0), 12): (146, 146)
(6, 1, 2, (0, 0, 0), 13): (75, 75)
(6, 1, 2, (0, 0, 0), 14): (44, 44)
(6, 1, 2, (0, 0, 0), 15): (22, 22)
(6, 1, 2, (0, 0, 0), 16): (14, 14)
(6, 1, 2, (0, 0, 0), 17): (9, 9)
(6, 1, 2, (0, 0, 0), 18): (3, 3)
(6, 1, 2, (0, 0, 0), 21): (1, 1)
(6, 1, 2, (0, 0, 1), -19): (0, 1)
(6, 1, 2, (0, 0, 1), -18): (0, 1)
(6, 1, 2, (0, 0, 1), -17): (0, 2)
(6, 1, 2, (0, 0, 1), -16): (0, 1)
(6, 1, 2, (0, 0, 1), -15): (0, 1)
(6, 1, 2, (0, 0, 1), -14): (0, 1)
(6, 1, 2, (0, 0, 1), -13): (0, 2)
(6, 1, 2, (0, 0, 1), -12): (0, 11)
(6, 1, 2, (0, 0, 1), -11): (0, 17)
(6, 1, 2, (0, 0, 1), -10): (0, 21)
(6, 1, 2, (0, 0, 1), -9): (0, 41)
(6, 1, 2, (0, 0, 1), -8): (0, 71)
(6, 1, 2, (0, 0, 1), -7): (3, 127)
(6, 1, 2, (0, 0, 1), -6): (3, 183)
(6, 1, 2, (0, 0, 1), -5): (12, 345)
(6, 1, 2, (0, 0, 1), -4): (36, 523)
(6, 1, 2, (0, 0, 1), -3): (95, 695)
(6, 1, 2, (0, 0, 1), -2): (235, 994)
(6, 1, 2, (0, 0, 1), -1): (601, 1503)
(6, 1, 2, (0, 0, 1), 0): (981, 1717)
(6, 1, 2, (0, 0, 1), 1): (1308, 1703)
(6, 1, 2, (0, 0, 1), 2): (1184, 1359)
(6, 1, 2, (0, 0, 1), 3): (1076, 1165)
(6, 1, 2, (0, 0, 1), 4): (857, 880)
(6, 1, 2, (0, 0, 1), 5): (596, 615)
(6, 1, 2, (0, 0, 1), 6): (403, 408)
(6, 1, 2, (0, 0, 1), 7): (255, 257)
(6, 1, 2, (0, 0, 1), 8): (188, 190)
(6, 1, 2, (0, 0, 1), 9): (118, 118)
(6, 1, 2, (0, 0, 1), 10): (67, 68)
(6, 1, 2, (0, 0, 1), 11): (38, 38)
(6, 1, 2, (0, 0, 1), 12): (23, 23)
(6, 1, 2, (0, 0, 1), 13): (13, 13)
(6, 1, 2, (0, 0, 1), 14): (6, 6)
(6, 1, 2, (0, 0, 1), 15): (4, 4)
(6, 1, 2, (0, 0, 1), 16): (6, 6)
(6, 1, 2, (0, 1, 0), -19): (0, 1)
(6, 1, 2, (0, 1, 0), -18): (0, 1)
(6, 1, 2, (0, 1, 0), -16): (0, 2)
(6, 1, 2, (0, 1, 0), -15): (0, 2)
(6, 1, 2, (0, 1, 0), -14): (0, 4)
(6, 1, 2, (0, 1, 0), -13): (0, 16)
(6, 1, 2, (0, 1, 0), -12): (0, 20)
(6, 1, 2, (0, 1, 0), -11): (0, 46)
(6, 1, 2, (0, 1, 0), -10): (0, 75)
(6, 1, 2, (0, 1, 0), -9): (1, 125)
(6, 1, 2, (0, 1, 0), -8): (2, 204)
(6, 1, 2, (0, 1, 0), -7): (5, 280)
(6, 1, 2, (0, 1, 0), -6): (7, 503)
(6, 1, 2, (0, 1, 0), -5): (34, 780)
(6, 1, 2, (0, 1, 0), -4): (93, 1200)
(6, 1, 2, (0, 1, 0), -3): (203, 1708)
(6, 1, 2, (0, 1, 0), -2): (577, 2397)
(6, 1, 2, (0, 1, 0), -1): (1325, 3544)
(6, 1, 2, (0, 1, 0), 0): (2470, 4213)
(6, 1, 2, (0, 1, 0), 1): (3037, 4004)
(6, 1, 2, (0, 1, 0), 2): (3087, 3577)
(6, 1, 2, (0, 1, 0), 3): (2716, 2915)
(6, 1, 2, (0, 1, 0), 4): (1963, 2040)
(6, 1, 2, (0, 1, 0), 5): (1517, 1545)
(6, 1, 2, (0, 1, 0), 6): (931, 938)
(6, 1, 2, (0, 1, 0), 7): (624, 625)
(6, 1, 2, (0, 1, 0), 8): (422, 422)
(6, 1, 2, (0, 1, 0), 9): (283, 283)
(6, 1, 2, (0, 1, 0), 10): (158, 158)
(6, 1, 2, (0, 1, 0), 11): (104, 104)
(6, 1, 2, (0, 1, 0), 12): (52, 52)
(6, 1, 2, (0, 1, 0), 13): (20, 20)
(6, 1, 2, (0, 1, 0), 14): (18, 18)
(6, 1, 2, (0, 1, 0), 15): (8, 8)
(6, 1, 2, (0, 1, 0), 16): (7, 7)
(6, 1, 2, (0, 1, 0), 17): (3, 3)
(6, 1, 2, (0, 1, 0), 18): (2, 2)
(6, 1, 2, (0, 1, 0), 19): (2, 2)
(6, 1, 2, (0, 1, 0), 20): (2, 2)
(6, 1, 2, (0, 1, 0), 22): (1, 1)
(6, 1, 2, (0, 1, 1), -16): (0, 1)
(6, 1, 2, (0, 1, 1), -15): (0, 1)
(6, 1, 2, (0, 1, 1), -14): (0, 1)
(6, 1, 2, (0, 1, 1), -13): (0, 5)
(6, 1, 2, (0, 1, 1), -12): (0, 6)
(6, 1, 2, (0, 1, 1), -11): (0, 8)
(6, 1, 2, (0, 1, 1), -10): (0, 20)
(6, 1, 2, (0, 1, 1), -9): (0, 30)
(6, 1, 2, (0, 1, 1), -8): (1, 64)
(6, 1, 2, (0, 1, 1), -7): (1, 81)
(6, 1, 2, (0, 1, 1), -6): (3, 123)
(6, 1, 2, (0, 1, 1), -5): (11, 223)
(6, 1, 2, (0, 1, 1), -4): (32, 313)
(6, 1, 2, (0, 1, 1), -3): (80, 445)
(6, 1, 2, (0, 1, 1), -2): (190, 693)
(6, 1, 2, (0, 1, 1), -1): (379, 842)
(6, 1, 2, (0, 1, 1), 0): (595, 919)
(6, 1, 2, (0, 1, 1), 1): (825, 1059)
(6, 1, 2, (0, 1, 1), 2): (822, 930)
(6, 1, 2, (0, 1, 1), 3): (705, 759)
(6, 1, 2, (0, 1, 1), 4): (567, 585)
(6, 1, 2, (0, 1, 1), 5): (411, 417)
(6, 1, 2, (0, 1, 1), 6): (310, 315)
(6, 1, 2, (0, 1, 1), 7): (171, 171)
(6, 1, 2, (0, 1, 1), 8): (106, 106)
(6, 1, 2, (0, 1, 1), 9): (90, 90)
(6, 1, 2, (0, 1, 1), 10): (52, 52)
(6, 1, 2, (0, 1, 1), 11): (33, 33)
(6, 1, 2, (0, 1, 1), 12): (22, 22)
(6, 1, 2, (0, 1, 1), 13): (12, 12)
(6, 1, 2, (0, 1, 1), 14): (10, 10)
(6, 1, 2, (0, 1, 1), 15): (5, 5)
(6, 1, 2, (0, 1, 1), 16): (1, 1)
(6, 1, 2, (0, 1, 1), 17): (1, 1)
(6, 1, 2, (0, 1, 1), 20): (1, 1)
(6, 1, 2, (1, 0, 0), -23): (0, 1)
(6, 1, 2, (1, 0, 0), -21): (0, 1)
(6, 1, 2, (1, 0, 0), -18): (0, 3)
(6, 1, 2, (1, 0, 0), -17): (0, 6)
(6, 1, 2, (1, 0, 0), -16): (0, 5)
(6, 1, 2, (1, 0, 0), -15): (0, 10)
(6, 1, 2, (1, 0, 0), -14): (0, 20)
(6, 1, 2, (1, 0, 0), -13): (0, 46)
(6, 1, 2, (1, 0, 0), -12): (0, 70)
(6, 1, 2, (1, 0, 0), -11): (1, 115)
(6, 1, 2, (1, 0, 0), -10): (0, 183)
(6, 1, 2, (1, 0, 0), -9): (0, 275)
(6, 1, 2, (1, 0, 0), -8): (2, 534)
(6, 1, 2, (1, 0, 0), -7): (9, 774)
(6, 1, 2, (1, 0, 0), -6): (21, 1280)
(6, 1, 2, (1, 0, 0), -5): (86, 1970)
(6, 1, 2, (1, 0, 0), -4): (219, 2899)
(6, 1, 2, (1, 0, 0), -3): (511, 4123)
(6, 1, 2, (1, 0, 0), -2): (1230, 5612)
(6, 1, 2, (1, 0, 0), -1): (2293, 6744)
(6, 1, 2, (1, 0, 0), 0): (4266, 7677)
(6, 1, 2, (1, 0, 0), 1): (5183, 6894)
(6, 1, 2, (1, 0, 0), 2): (4915, 5682)
(6, 1, 2, (1, 0, 0), 3): (3912, 4246)
(6, 1, 2, (1, 0, 0), 4): (3093, 3221)
(6, 1, 2, (1, 0, 0), 5): (2183, 2243)
(6, 1, 2, (1, 0, 0), 6): (1538, 1552)
(6, 1, 2, (1, 0, 0), 7): (1079, 1086)
(6, 1, 2, (1, 0, 0), 8): (737, 739)
(6, 1, 2, (1, 0, 0), 9): (435, 435)
(6, 1, 2, (1, 0, 0), 10): (267, 268)
(6, 1, 2, (1, 0, 0), 11): (148, 148)
(6, 1, 2, (1, 0, 0), 12): (96, 96)
(6, 1, 2, (1, 0, 0), 13): (50, 50)
(6, 1, 2, (1, 0, 0), 14): (27, 27)
(6, 1, 2, (1, 0, 0), 15): (22, 22)
(6, 1, 2, (1, 0, 0), 16): (8, 8)
(6, 1, 2, (1, 0, 0), 17): (8, 8)
(6, 1, 2, (1, 0, 0), 18): (1, 1)
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(6, 1, 2, (1, 0, 1), -7): (1, 125)
(6, 1, 2, (1, 0, 1), -6): (7, 241)
(6, 1, 2, (1, 0, 1), -5): (15, 367)
(6, 1, 2, (1, 0, 1), -4): (48, 595)
(6, 1, 2, (1, 0, 1), -3): (119, 735)
(6, 1, 2, (1, 0, 1), -2): (279, 1006)
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(7, 0, 0, (1, 1, 0), -8): (1, 129)
(7, 0, 0, (1, 1, 0), -7): (5, 233)
(7, 0, 0, (1, 1, 0), -6): (9, 326)
(7, 0, 0, (1, 1, 0), -5): (37, 518)
(7, 0, 0, (1, 1, 0), -4): (64, 695)
(7, 0, 0, (1, 1, 0), -3): (187, 960)
(7, 0, 0, (1, 1, 0), -2): (369, 1199)
(7, 0, 0, (1, 1, 0), -1): (573, 1269)
(7, 0, 0, (1, 1, 0), 0): (802, 1242)
(7, 0, 0, (1, 1, 0), 1): (892, 1130)
(7, 0, 0, (1, 1, 0), 2): (850, 953)
(7, 0, 0, (1, 1, 0), 3): (726, 782)
(7, 0, 0, (1, 1, 0), 4): (554, 570)
(7, 0, 0, (1, 1, 0), 5): (421, 427)
(7, 0, 0, (1, 1, 0), 6): (321, 324)
(7, 0, 0, (1, 1, 0), 7): (174, 176)
(7, 0, 0, (1, 1, 0), 8): (121, 122)
(7, 0, 0, (1, 1, 0), 9): (73, 73)
(7, 0, 0, (1, 1, 0), 10): (41, 41)
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(7, 0, 0, (1, 1, 1), -8): (1, 23)
(7, 0, 0, (1, 1, 1), -7): (0, 50)
(7, 0, 0, (1, 1, 1), -6): (6, 77)
(7, 0, 0, (1, 1, 1), -5): (8, 105)
(7, 0, 0, (1, 1, 1), -4): (21, 137)
(7, 0, 0, (1, 1, 1), -3): (66, 226)
(7, 0, 0, (1, 1, 1), -2): (127, 283)
(7, 0, 0, (1, 1, 1), -1): (190, 313)
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(7, 0, 0, (1, 1, 1), 1): (284, 334)
(7, 0, 0, (1, 1, 1), 2): (236, 255)
(7, 0, 0, (1, 1, 1), 3): (201, 212)
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(7, 0, 0, (1, 1, 1), 5): (109, 110)
(7, 0, 0, (1, 1, 1), 6): (89, 90)
(7, 0, 0, (1, 1, 1), 7): (47, 47)
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(7, 0, 1, (0, 0, 0), -11): (0, 356)
(7, 0, 1, (0, 0, 0), -10): (1, 596)
(7, 0, 1, (0, 0, 0), -9): (0, 931)
(7, 0, 1, (0, 0, 0), -8): (3, 1513)
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(7, 0, 1, (0, 0, 0), -4): (225, 7419)
(7, 0, 1, (0, 0, 0), -3): (587, 10171)
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(7, 0, 1, (0, 0, 0), -1): (3735, 16224)
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(7, 0, 1, (0, 0, 1), -9): (0, 48)
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(7, 0, 1, (0, 0, 1), -7): (0, 69)
(7, 0, 1, (0, 0, 1), -6): (1, 119)
(7, 0, 1, (0, 0, 1), -5): (9, 203)
(7, 0, 1, (0, 0, 1), -4): (9, 274)
(7, 0, 1, (0, 0, 1), -3): (49, 404)
(7, 0, 1, (0, 0, 1), -2): (104, 567)
(7, 0, 1, (0, 0, 1), -1): (301, 900)
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(7, 0, 1, (0, 1, 0), -4): (69, 944)
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(7, 0, 1, (1, 0, 1), -2): (205, 819)
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(7, 0, 1, (1, 1, 0), -5): (29, 793)
(7, 0, 1, (1, 1, 0), -4): (79, 1124)
(7, 0, 1, (1, 1, 0), -3): (198, 1495)
(7, 0, 1, (1, 1, 0), -2): (410, 1895)
(7, 0, 1, (1, 1, 0), -1): (778, 2127)
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(7, 0, 1, (1, 1, 0), 1): (1713, 2288)
(7, 0, 1, (1, 1, 0), 2): (1631, 1936)
(7, 0, 1, (1, 1, 0), 3): (1439, 1566)
(7, 0, 1, (1, 1, 0), 4): (1127, 1171)
(7, 0, 1, (1, 1, 0), 5): (810, 831)
(7, 0, 1, (1, 1, 0), 6): (589, 596)
(7, 0, 1, (1, 1, 0), 7): (382, 385)
(7, 0, 1, (1, 1, 0), 8): (275, 276)
(7, 0, 1, (1, 1, 0), 9): (177, 177)
(7, 0, 1, (1, 1, 0), 10): (92, 92)
(7, 0, 1, (1, 1, 0), 11): (65, 65)
(7, 0, 1, (1, 1, 0), 12): (44, 44)
(7, 0, 1, (1, 1, 0), 13): (23, 23)
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(7, 0, 1, (1, 1, 1), -9): (0, 41)
(7, 0, 1, (1, 1, 1), -8): (1, 63)
(7, 0, 1, (1, 1, 1), -7): (1, 98)
(7, 0, 1, (1, 1, 1), -6): (3, 149)
(7, 0, 1, (1, 1, 1), -5): (11, 193)
(7, 0, 1, (1, 1, 1), -4): (35, 281)
(7, 0, 1, (1, 1, 1), -3): (85, 414)
(7, 0, 1, (1, 1, 1), -2): (177, 544)
(7, 0, 1, (1, 1, 1), -1): (377, 820)
(7, 0, 1, (1, 1, 1), 0): (645, 1020)
(7, 0, 1, (1, 1, 1), 1): (752, 945)
(7, 0, 1, (1, 1, 1), 2): (740, 817)
(7, 0, 1, (1, 1, 1), 3): (605, 653)
(7, 0, 1, (1, 1, 1), 4): (475, 490)
(7, 0, 1, (1, 1, 1), 5): (338, 340)
(7, 0, 1, (1, 1, 1), 6): (261, 264)
(7, 0, 1, (1, 1, 1), 7): (136, 138)
(7, 0, 1, (1, 1, 1), 8): (77, 77)
(7, 0, 1, (1, 1, 1), 9): (70, 70)
(7, 0, 1, (1, 1, 1), 10): (39, 39)
(7, 0, 1, (1, 1, 1), 11): (31, 31)
(7, 0, 1, (1, 1, 1), 12): (16, 16)
(7, 0, 1, (1, 1, 1), 13): (10, 10)
(7, 0, 1, (1, 1, 1), 14): (4, 4)
(7, 0, 1, (1, 1, 1), 15): (1, 1)
(7, 0, 1, (1, 1, 1), 16): (2, 2)
(7, 0, 1, (1, 1, 1), 17): (1, 1)
(7, 0, 1, (1, 1, 1), 19): (1, 1)
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(7, 0, 2, (0, 0, 0), -18): (0, 6)
(7, 0, 2, (0, 0, 0), -17): (0, 10)
(7, 0, 2, (0, 0, 0), -16): (0, 18)
(7, 0, 2, (0, 0, 0), -15): (0, 26)
(7, 0, 2, (0, 0, 0), -14): (0, 49)
(7, 0, 2, (0, 0, 0), -13): (0, 90)
(7, 0, 2, (0, 0, 0), -12): (0, 157)
(7, 0, 2, (0, 0, 0), -11): (0, 270)
(7, 0, 2, (0, 0, 0), -10): (1, 438)
(7, 0, 2, (0, 0, 0), -9): (0, 679)
(7, 0, 2, (0, 0, 0), -8): (1, 1117)
(7, 0, 2, (0, 0, 0), -7): (8, 1705)
(7, 0, 2, (0, 0, 0), -6): (18, 2610)
(7, 0, 2, (0, 0, 0), -5): (42, 3827)
(7, 0, 2, (0, 0, 0), -4): (129, 5662)
(7, 0, 2, (0, 0, 0), -3): (350, 7806)
(7, 0, 2, (0, 0, 0), -2): (1050, 10353)
(7, 0, 2, (0, 0, 0), -1): (2457, 12538)
(7, 0, 2, (0, 0, 0), 0): (5481, 13541)
(7, 0, 2, (0, 0, 0), 1): (8099, 12416)
(7, 0, 2, (0, 0, 0), 2): (7978, 10033)
(7, 0, 2, (0, 0, 0), 3): (6712, 7546)
(7, 0, 2, (0, 0, 0), 4): (5121, 5435)
(7, 0, 2, (0, 0, 0), 5): (3680, 3823)
(7, 0, 2, (0, 0, 0), 6): (2424, 2463)
(7, 0, 2, (0, 0, 0), 7): (1578, 1594)
(7, 0, 2, (0, 0, 0), 8): (1069, 1075)
(7, 0, 2, (0, 0, 0), 9): (611, 611)
(7, 0, 2, (0, 0, 0), 10): (381, 382)
(7, 0, 2, (0, 0, 0), 11): (246, 246)
(7, 0, 2, (0, 0, 0), 12): (146, 146)
(7, 0, 2, (0, 0, 0), 13): (89, 89)
(7, 0, 2, (0, 0, 0), 14): (49, 49)
(7, 0, 2, (0, 0, 0), 15): (44, 44)
(7, 0, 2, (0, 0, 0), 16): (12, 12)
(7, 0, 2, (0, 0, 0), 17): (12, 12)
(7, 0, 2, (0, 0, 0), 18): (6, 6)
(7, 0, 2, (0, 0, 0), 19): (5, 5)
(7, 0, 2, (0, 0, 0), 20): (2, 2)
(7, 0, 2, (0, 0, 0), 21): (2, 2)
(7, 0, 2, (0, 0, 1), -17): (0, 1)
(7, 0, 2, (0, 0, 1), -16): (0, 4)
(7, 0, 2, (0, 0, 1), -14): (0, 1)
(7, 0, 2, (0, 0, 1), -13): (0, 8)
(7, 0, 2, (0, 0, 1), -12): (0, 8)
(7, 0, 2, (0, 0, 1), -11): (0, 17)
(7, 0, 2, (0, 0, 1), -10): (0, 47)
(7, 0, 2, (0, 0, 1), -9): (1, 53)
(7, 0, 2, (0, 0, 1), -8): (1, 88)
(7, 0, 2, (0, 0, 1), -7): (1, 110)
(7, 0, 2, (0, 0, 1), -6): (2, 207)
(7, 0, 2, (0, 0, 1), -5): (5, 319)
(7, 0, 2, (0, 0, 1), -4): (11, 459)
(7, 0, 2, (0, 0, 1), -3): (35, 654)
(7, 0, 2, (0, 0, 1), -2): (109, 905)
(7, 0, 2, (0, 0, 1), -1): (336, 1350)
(7, 0, 2, (0, 0, 1), 0): (705, 1550)
(7, 0, 2, (0, 0, 1), 1): (1041, 1523)
(7, 0, 2, (0, 0, 1), 2): (1110, 1356)
(7, 0, 2, (0, 0, 1), 3): (880, 973)
(7, 0, 2, (0, 0, 1), 4): (803, 847)
(7, 0, 2, (0, 0, 1), 5): (580, 593)
(7, 0, 2, (0, 0, 1), 6): (386, 393)
(7, 0, 2, (0, 0, 1), 7): (232, 234)
(7, 0, 2, (0, 0, 1), 8): (182, 183)
(7, 0, 2, (0, 0, 1), 9): (99, 99)
(7, 0, 2, (0, 0, 1), 10): (66, 66)
(7, 0, 2, (0, 0, 1), 11): (40, 40)
(7, 0, 2, (0, 0, 1), 12): (34, 34)
(7, 0, 2, (0, 0, 1), 13): (19, 19)
(7, 0, 2, (0, 0, 1), 14): (9, 9)
(7, 0, 2, (0, 0, 1), 15): (5, 5)
(7, 0, 2, (0, 0, 1), 17): (4, 4)
(7, 0, 2, (0, 1, 0), -17): (0, 2)
(7, 0, 2, (0, 1, 0), -16): (0, 3)
(7, 0, 2, (0, 1, 0), -15): (0, 6)
(7, 0, 2, (0, 1, 0), -14): (0, 6)
(7, 0, 2, (0, 1, 0), -13): (0, 15)
(7, 0, 2, (0, 1, 0), -12): (0, 36)
(7, 0, 2, (0, 1, 0), -11): (0, 63)
(7, 0, 2, (0, 1, 0), -10): (0, 93)
(7, 0, 2, (0, 1, 0), -9): (0, 138)
(7, 0, 2, (0, 1, 0), -8): (1, 206)
(7, 0, 2, (0, 1, 0), -7): (3, 343)
(7, 0, 2, (0, 1, 0), -6): (5, 543)
(7, 0, 2, (0, 1, 0), -5): (20, 858)
(7, 0, 2, (0, 1, 0), -4): (54, 1200)
(7, 0, 2, (0, 1, 0), -3): (95, 1667)
(7, 0, 2, (0, 1, 0), -2): (299, 2215)
(7, 0, 2, (0, 1, 0), -1): (791, 3318)
(7, 0, 2, (0, 1, 0), 0): (1861, 4125)
(7, 0, 2, (0, 1, 0), 1): (2693, 3952)
(7, 0, 2, (0, 1, 0), 2): (2810, 3493)
(7, 0, 2, (0, 1, 0), 3): (2341, 2609)
(7, 0, 2, (0, 1, 0), 4): (1866, 1972)
(7, 0, 2, (0, 1, 0), 5): (1277, 1310)
(7, 0, 2, (0, 1, 0), 6): (914, 920)
(7, 0, 2, (0, 1, 0), 7): (561, 563)
(7, 0, 2, (0, 1, 0), 8): (366, 367)
(7, 0, 2, (0, 1, 0), 9): (225, 225)
(7, 0, 2, (0, 1, 0), 10): (166, 166)
(7, 0, 2, (0, 1, 0), 11): (88, 88)
(7, 0, 2, (0, 1, 0), 12): (52, 53)
(7, 0, 2, (0, 1, 0), 13): (33, 33)
(7, 0, 2, (0, 1, 0), 14): (20, 20)
(7, 0, 2, (0, 1, 0), 15): (12, 12)
(7, 0, 2, (0, 1, 0), 16): (5, 5)
(7, 0, 2, (0, 1, 0), 17): (5, 5)
(7, 0, 2, (0, 1, 0), 19): (1, 1)
(7, 0, 2, (0, 1, 0), 20): (2, 2)
(7, 0, 2, (0, 1, 0), 22): (1, 1)
(7, 0, 2, (0, 1, 0), 23): (1, 1)
(7, 0, 2, (0, 1, 1), -17): (0, 1)
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(7, 0, 2, (0, 1, 1), -14): (0, 2)
(7, 0, 2, (0, 1, 1), -13): (0, 7)
(7, 0, 2, (0, 1, 1), -12): (0, 6)
(7, 0, 2, (0, 1, 1), -11): (0, 17)
(7, 0, 2, (0, 1, 1), -10): (0, 21)
(7, 0, 2, (0, 1, 1), -9): (0, 39)
(7, 0, 2, (0, 1, 1), -8): (0, 62)
(7, 0, 2, (0, 1, 1), -7): (1, 103)
(7, 0, 2, (0, 1, 1), -6): (2, 155)
(7, 0, 2, (0, 1, 1), -5): (7, 246)
(7, 0, 2, (0, 1, 1), -4): (20, 348)
(7, 0, 2, (0, 1, 1), -3): (34, 428)
(7, 0, 2, (0, 1, 1), -2): (115, 625)
(7, 0, 2, (0, 1, 1), -1): (229, 783)
(7, 0, 2, (0, 1, 1), 0): (447, 913)
(7, 0, 2, (0, 1, 1), 1): (672, 942)
(7, 0, 2, (0, 1, 1), 2): (702, 856)
(7, 0, 2, (0, 1, 1), 3): (602, 666)
(7, 0, 2, (0, 1, 1), 4): (524, 552)
(7, 0, 2, (0, 1, 1), 5): (366, 380)
(7, 0, 2, (0, 1, 1), 6): (230, 234)
(7, 0, 2, (0, 1, 1), 7): (166, 167)
(7, 0, 2, (0, 1, 1), 8): (121, 121)
(7, 0, 2, (0, 1, 1), 9): (64, 64)
(7, 0, 2, (0, 1, 1), 10): (40, 40)
(7, 0, 2, (0, 1, 1), 11): (25, 25)
(7, 0, 2, (0, 1, 1), 12): (20, 20)
(7, 0, 2, (0, 1, 1), 13): (15, 15)
(7, 0, 2, (0, 1, 1), 14): (8, 8)
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(7, 0, 2, (1, 0, 0), -17): (0, 6)
(7, 0, 2, (1, 0, 0), -16): (0, 12)
(7, 0, 2, (1, 0, 0), -15): (0, 15)
(7, 0, 2, (1, 0, 0), -14): (0, 29)
(7, 0, 2, (1, 0, 0), -13): (0, 47)
(7, 0, 2, (1, 0, 0), -12): (0, 88)
(7, 0, 2, (1, 0, 0), -11): (0, 136)
(7, 0, 2, (1, 0, 0), -10): (0, 222)
(7, 0, 2, (1, 0, 0), -9): (0, 414)
(7, 0, 2, (1, 0, 0), -8): (0, 634)
(7, 0, 2, (1, 0, 0), -7): (2, 970)
(7, 0, 2, (1, 0, 0), -6): (18, 1509)
(7, 0, 2, (1, 0, 0), -5): (32, 2112)
(7, 0, 2, (1, 0, 0), -4): (86, 3107)
(7, 0, 2, (1, 0, 0), -3): (279, 4224)
(7, 0, 2, (1, 0, 0), -2): (662, 5591)
(7, 0, 2, (1, 0, 0), -1): (1499, 6596)
(7, 0, 2, (1, 0, 0), 0): (3050, 7014)
(7, 0, 2, (1, 0, 0), 1): (4211, 6362)
(7, 0, 2, (1, 0, 0), 2): (4333, 5374)
(7, 0, 2, (1, 0, 0), 3): (3712, 4158)
(7, 0, 2, (1, 0, 0), 4): (2950, 3111)
(7, 0, 2, (1, 0, 0), 5): (2155, 2226)
(7, 0, 2, (1, 0, 0), 6): (1599, 1619)
(7, 0, 2, (1, 0, 0), 7): (1077, 1088)
(7, 0, 2, (1, 0, 0), 8): (658, 661)
(7, 0, 2, (1, 0, 0), 9): (415, 416)
(7, 0, 2, (1, 0, 0), 10): (270, 270)
(7, 0, 2, (1, 0, 0), 11): (166, 167)
(7, 0, 2, (1, 0, 0), 12): (102, 103)
(7, 0, 2, (1, 0, 0), 13): (70, 70)
(7, 0, 2, (1, 0, 0), 14): (52, 52)
(7, 0, 2, (1, 0, 0), 15): (32, 32)
(7, 0, 2, (1, 0, 0), 16): (10, 10)
(7, 0, 2, (1, 0, 0), 17): (7, 7)
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(7, 0, 2, (1, 0, 1), -12): (0, 15)
(7, 0, 2, (1, 0, 1), -11): (0, 31)
(7, 0, 2, (1, 0, 1), -10): (0, 45)
(7, 0, 2, (1, 0, 1), -9): (0, 70)
(7, 0, 2, (1, 0, 1), -8): (0, 115)
(7, 0, 2, (1, 0, 1), -7): (0, 132)
(7, 0, 2, (1, 0, 1), -6): (2, 238)
(7, 0, 2, (1, 0, 1), -5): (15, 378)
(7, 0, 2, (1, 0, 1), -4): (24, 522)
(7, 0, 2, (1, 0, 1), -3): (64, 723)
(7, 0, 2, (1, 0, 1), -2): (167, 1023)
(7, 0, 2, (1, 0, 1), -1): (374, 1382)
(7, 0, 2, (1, 0, 1), 0): (761, 1536)
(7, 0, 2, (1, 0, 1), 1): (1100, 1513)
(7, 0, 2, (1, 0, 1), 2): (1040, 1280)
(7, 0, 2, (1, 0, 1), 3): (970, 1069)
(7, 0, 2, (1, 0, 1), 4): (778, 826)
(7, 0, 2, (1, 0, 1), 5): (598, 613)
(7, 0, 2, (1, 0, 1), 6): (457, 458)
(7, 0, 2, (1, 0, 1), 7): (261, 263)
(7, 0, 2, (1, 0, 1), 8): (182, 182)
(7, 0, 2, (1, 0, 1), 9): (110, 110)
(7, 0, 2, (1, 0, 1), 10): (68, 68)
(7, 0, 2, (1, 0, 1), 11): (50, 51)
(7, 0, 2, (1, 0, 1), 12): (25, 26)
(7, 0, 2, (1, 0, 1), 13): (20, 20)
(7, 0, 2, (1, 0, 1), 14): (12, 12)
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(7, 0, 2, (1, 1, 0), -13): (0, 24)
(7, 0, 2, (1, 1, 0), -12): (0, 39)
(7, 0, 2, (1, 1, 0), -11): (0, 44)
(7, 0, 2, (1, 1, 0), -10): (0, 80)
(7, 0, 2, (1, 1, 0), -9): (0, 159)
(7, 0, 2, (1, 1, 0), -8): (0, 277)
(7, 0, 2, (1, 1, 0), -7): (3, 389)
(7, 0, 2, (1, 1, 0), -6): (8, 599)
(7, 0, 2, (1, 1, 0), -5): (18, 881)
(7, 0, 2, (1, 1, 0), -4): (52, 1287)
(7, 0, 2, (1, 1, 0), -3): (128, 1714)
(7, 0, 2, (1, 1, 0), -2): (324, 2274)
(7, 0, 2, (1, 1, 0), -1): (668, 2671)
(7, 0, 2, (1, 1, 0), 0): (1581, 3344)
(7, 0, 2, (1, 1, 0), 1): (2152, 3119)
(7, 0, 2, (1, 1, 0), 2): (2132, 2623)
(7, 0, 2, (1, 1, 0), 3): (1912, 2121)
(7, 0, 2, (1, 1, 0), 4): (1495, 1582)
(7, 0, 2, (1, 1, 0), 5): (1114, 1143)
(7, 0, 2, (1, 1, 0), 6): (772, 786)
(7, 0, 2, (1, 1, 0), 7): (524, 528)
(7, 0, 2, (1, 1, 0), 8): (318, 319)
(7, 0, 2, (1, 1, 0), 9): (245, 245)
(7, 0, 2, (1, 1, 0), 10): (146, 146)
(7, 0, 2, (1, 1, 0), 11): (94, 94)
(7, 0, 2, (1, 1, 0), 12): (60, 60)
(7, 0, 2, (1, 1, 0), 13): (33, 33)
(7, 0, 2, (1, 1, 0), 14): (27, 27)
(7, 0, 2, (1, 1, 0), 15): (11, 11)
(7, 0, 2, (1, 1, 0), 16): (9, 9)
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(7, 0, 2, (1, 1, 1), -16): (0, 3)
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(7, 0, 2, (1, 1, 1), -14): (0, 2)
(7, 0, 2, (1, 1, 1), -13): (0, 3)
(7, 0, 2, (1, 1, 1), -12): (0, 10)
(7, 0, 2, (1, 1, 1), -11): (0, 11)
(7, 0, 2, (1, 1, 1), -10): (0, 22)
(7, 0, 2, (1, 1, 1), -9): (0, 47)
(7, 0, 2, (1, 1, 1), -8): (0, 63)
(7, 0, 2, (1, 1, 1), -7): (0, 92)
(7, 0, 2, (1, 1, 1), -6): (2, 144)
(7, 0, 2, (1, 1, 1), -5): (15, 234)
(7, 0, 2, (1, 1, 1), -4): (32, 386)
(7, 0, 2, (1, 1, 1), -3): (59, 498)
(7, 0, 2, (1, 1, 1), -2): (149, 690)
(7, 0, 2, (1, 1, 1), -1): (273, 879)
(7, 0, 2, (1, 1, 1), 0): (640, 1222)
(7, 0, 2, (1, 1, 1), 1): (859, 1172)
(7, 0, 2, (1, 1, 1), 2): (812, 974)
(7, 0, 2, (1, 1, 1), 3): (741, 809)
(7, 0, 2, (1, 1, 1), 4): (583, 607)
(7, 0, 2, (1, 1, 1), 5): (464, 476)
(7, 0, 2, (1, 1, 1), 6): (296, 302)
(7, 0, 2, (1, 1, 1), 7): (178, 180)
(7, 0, 2, (1, 1, 1), 8): (111, 111)
(7, 0, 2, (1, 1, 1), 9): (83, 83)
(7, 0, 2, (1, 1, 1), 10): (41, 41)
(7, 0, 2, (1, 1, 1), 11): (42, 42)
(7, 0, 2, (1, 1, 1), 12): (20, 20)
(7, 0, 2, (1, 1, 1), 13): (6, 6)
(7, 0, 2, (1, 1, 1), 14): (12, 12)
(7, 0, 2, (1, 1, 1), 15): (4, 4)
(7, 0, 2, (1, 1, 1), 16): (4, 4)
(7, 0, 2, (1, 1, 1), 17): (4, 4)
(7, 1, 0, (0, 0, 0), -24): (0, 2)
(7, 1, 0, (0, 0, 0), -23): (0, 1)
(7, 1, 0, (0, 0, 0), -22): (0, 2)
(7, 1, 0, (0, 0, 0), -21): (0, 2)
(7, 1, 0, (0, 0, 0), -20): (0, 3)
(7, 1, 0, (0, 0, 0), -19): (0, 11)
(7, 1, 0, (0, 0, 0), -18): (0, 9)
(7, 1, 0, (0, 0, 0), -17): (0, 28)
(7, 1, 0, (0, 0, 0), -16): (0, 32)
(7, 1, 0, (0, 0, 0), -15): (0, 71)
(7, 1, 0, (0, 0, 0), -14): (0, 120)
(7, 1, 0, (0, 0, 0), -13): (0, 187)
(7, 1, 0, (0, 0, 0), -12): (2, 323)
(7, 1, 0, (0, 0, 0), -11): (1, 512)
(7, 1, 0, (0, 0, 0), -10): (1, 832)
(7, 1, 0, (0, 0, 0), -9): (1, 1302)
(7, 1, 0, (0, 0, 0), -8): (11, 2183)
(7, 1, 0, (0, 0, 0), -7): (35, 3359)
(7, 1, 0, (0, 0, 0), -6): (82, 5118)
(7, 1, 0, (0, 0, 0), -5): (274, 7515)
(7, 1, 0, (0, 0, 0), -4): (618, 10393)
(7, 1, 0, (0, 0, 0), -3): (1609, 13951)
(7, 1, 0, (0, 0, 0), -2): (3912, 18285)
(7, 1, 0, (0, 0, 0), -1): (7848, 21899)
(7, 1, 0, (0, 0, 0), 0): (14490, 23643)
(7, 1, 0, (0, 0, 0), 1): (17687, 21491)
(7, 1, 0, (0, 0, 0), 2): (15997, 17541)
(7, 1, 0, (0, 0, 0), 3): (12755, 13310)
(7, 1, 0, (0, 0, 0), 4): (9510, 9715)
(7, 1, 0, (0, 0, 0), 5): (6692, 6751)
(7, 1, 0, (0, 0, 0), 6): (4533, 4555)
(7, 1, 0, (0, 0, 0), 7): (2951, 2955)
(7, 1, 0, (0, 0, 0), 8): (1989, 1991)
(7, 1, 0, (0, 0, 0), 9): (1229, 1229)
(7, 1, 0, (0, 0, 0), 10): (797, 798)
(7, 1, 0, (0, 0, 0), 11): (492, 492)
(7, 1, 0, (0, 0, 0), 12): (276, 276)
(7, 1, 0, (0, 0, 0), 13): (163, 163)
(7, 1, 0, (0, 0, 0), 14): (83, 83)
(7, 1, 0, (0, 0, 0), 15): (51, 51)
(7, 1, 0, (0, 0, 0), 16): (36, 36)
(7, 1, 0, (0, 0, 0), 17): (15, 15)
(7, 1, 0, (0, 0, 0), 18): (8, 8)
(7, 1, 0, (0, 0, 0), 19): (3, 3)
(7, 1, 0, (0, 0, 0), 20): (1, 1)
(7, 1, 0, (0, 0, 0), 21): (3, 3)
(7, 1, 0, (0, 0, 0), 22): (1, 1)
(7, 1, 0, (0, 0, 1), -17): (0, 1)
(7, 1, 0, (0, 0, 1), -13): (0, 5)
(7, 1, 0, (0, 0, 1), -12): (0, 2)
(7, 1, 0, (0, 0, 1), -11): (0, 10)
(7, 1, 0, (0, 0, 1), -10): (0, 8)
(7, 1, 0, (0, 0, 1), -9): (0, 17)
(7, 1, 0, (0, 0, 1), -8): (0, 24)
(7, 1, 0, (0, 0, 1), -7): (0, 42)
(7, 1, 0, (0, 0, 1), -6): (0, 57)
(7, 1, 0, (0, 0, 1), -5): (2, 77)
(7, 1, 0, (0, 0, 1), -4): (13, 94)
(7, 1, 0, (0, 0, 1), -3): (28, 169)
(7, 1, 0, (0, 0, 1), -2): (71, 208)
(7, 1, 0, (0, 0, 1), -1): (153, 257)
(7, 1, 0, (0, 0, 1), 0): (252, 323)
(7, 1, 0, (0, 0, 1), 1): (306, 333)
(7, 1, 0, (0, 0, 1), 2): (299, 314)
(7, 1, 0, (0, 0, 1), 3): (248, 258)
(7, 1, 0, (0, 0, 1), 4): (212, 213)
(7, 1, 0, (0, 0, 1), 5): (145, 147)
(7, 1, 0, (0, 0, 1), 6): (82, 82)
(7, 1, 0, (0, 0, 1), 7): (79, 79)
(7, 1, 0, (0, 0, 1), 8): (50, 50)
(7, 1, 0, (0, 0, 1), 9): (22, 22)
(7, 1, 0, (0, 0, 1), 10): (12, 12)
(7, 1, 0, (0, 0, 1), 11): (11, 11)
(7, 1, 0, (0, 0, 1), 12): (6, 6)
(7, 1, 0, (0, 0, 1), 13): (3, 3)
(7, 1, 0, (0, 0, 1), 14): (2, 2)
(7, 1, 0, (0, 0, 1), 16): (1, 1)
(7, 1, 0, (0, 0, 1), 17): (2, 2)
(7, 1, 0, (0, 1, 0), -17): (0, 2)
(7, 1, 0, (0, 1, 0), -16): (0, 2)
(7, 1, 0, (0, 1, 0), -15): (0, 7)
(7, 1, 0, (0, 1, 0), -14): (0, 12)
(7, 1, 0, (0, 1, 0), -13): (0, 9)
(7, 1, 0, (0, 1, 0), -12): (1, 16)
(7, 1, 0, (0, 1, 0), -11): (0, 29)
(7, 1, 0, (0, 1, 0), -10): (0, 61)
(7, 1, 0, (0, 1, 0), -9): (0, 76)
(7, 1, 0, (0, 1, 0), -8): (0, 128)
(7, 1, 0, (0, 1, 0), -7): (3, 181)
(7, 1, 0, (0, 1, 0), -6): (11, 309)
(7, 1, 0, (0, 1, 0), -5): (33, 452)
(7, 1, 0, (0, 1, 0), -4): (64, 675)
(7, 1, 0, (0, 1, 0), -3): (149, 838)
(7, 1, 0, (0, 1, 0), -2): (342, 1091)
(7, 1, 0, (0, 1, 0), -1): (708, 1338)
(7, 1, 0, (0, 1, 0), 0): (1165, 1582)
(7, 1, 0, (0, 1, 0), 1): (1363, 1546)
(7, 1, 0, (0, 1, 0), 2): (1264, 1350)
(7, 1, 0, (0, 1, 0), 3): (1011, 1043)
(7, 1, 0, (0, 1, 0), 4): (887, 898)
(7, 1, 0, (0, 1, 0), 5): (616, 617)
(7, 1, 0, (0, 1, 0), 6): (402, 404)
(7, 1, 0, (0, 1, 0), 7): (272, 272)
(7, 1, 0, (0, 1, 0), 8): (178, 178)
(7, 1, 0, (0, 1, 0), 9): (114, 114)
(7, 1, 0, (0, 1, 0), 10): (67, 67)
(7, 1, 0, (0, 1, 0), 11): (38, 38)
(7, 1, 0, (0, 1, 0), 12): (27, 27)
(7, 1, 0, (0, 1, 0), 13): (11, 11)
(7, 1, 0, (0, 1, 0), 14): (8, 8)
(7, 1, 0, (0, 1, 0), 15): (7, 7)
(7, 1, 0, (0, 1, 0), 17): (2, 2)
(7, 1, 0, (0, 1, 0), 18): (2, 2)
(7, 1, 0, (0, 1, 0), 21): (1, 1)
(7, 1, 0, (0, 1, 0), 22): (1, 1)
(7, 1, 0, (0, 1, 1), -16): (0, 1)
(7, 1, 0, (0, 1, 1), -13): (0, 3)
(7, 1, 0, (0, 1, 1), -12): (0, 4)
(7, 1, 0, (0, 1, 1), -11): (0, 8)
(7, 1, 0, (0, 1, 1), -10): (0, 8)
(7, 1, 0, (0, 1, 1), -9): (0, 13)
(7, 1, 0, (0, 1, 1), -8): (2, 33)
(7, 1, 0, (0, 1, 1), -7): (1, 43)
(7, 1, 0, (0, 1, 1), -6): (3, 67)
(7, 1, 0, (0, 1, 1), -5): (13, 95)
(7, 1, 0, (0, 1, 1), -4): (24, 142)
(7, 1, 0, (0, 1, 1), -3): (61, 181)
(7, 1, 0, (0, 1, 1), -2): (146, 250)
(7, 1, 0, (0, 1, 1), -1): (155, 233)
(7, 1, 0, (0, 1, 1), 0): (225, 280)
(7, 1, 0, (0, 1, 1), 1): (275, 295)
(7, 1, 0, (0, 1, 1), 2): (266, 277)
(7, 1, 0, (0, 1, 1), 3): (208, 211)
(7, 1, 0, (0, 1, 1), 4): (173, 175)
(7, 1, 0, (0, 1, 1), 5): (141, 142)
(7, 1, 0, (0, 1, 1), 6): (106, 106)
(7, 1, 0, (0, 1, 1), 7): (57, 57)
(7, 1, 0, (0, 1, 1), 8): (39, 39)
(7, 1, 0, (0, 1, 1), 9): (35, 35)
(7, 1, 0, (0, 1, 1), 10): (9, 9)
(7, 1, 0, (0, 1, 1), 11): (7, 7)
(7, 1, 0, (0, 1, 1), 12): (6, 6)
(7, 1, 0, (0, 1, 1), 13): (1, 1)
(7, 1, 0, (0, 1, 1), 14): (3, 3)
(7, 1, 0, (0, 1, 1), 15): (3, 3)
(7, 1, 0, (0, 1, 1), 16): (3, 3)
(7, 1, 0, (0, 1, 1), 18): (1, 1)
(7, 1, 0, (0, 1, 1), 22): (1, 1)
(7, 1, 0, (1, 0, 0), -22): (0, 1)
(7, 1, 0, (1, 0, 0), -21): (0, 1)
(7, 1, 0, (1, 0, 0), -19): (0, 3)
(7, 1, 0, (1, 0, 0), -18): (0, 3)
(7, 1, 0, (1, 0, 0), -17): (0, 5)
(7, 1, 0, (1, 0, 0), -16): (0, 10)
(7, 1, 0, (1, 0, 0), -15): (0, 16)
(7, 1, 0, (1, 0, 0), -14): (0, 33)
(7, 1, 0, (1, 0, 0), -13): (0, 47)
(7, 1, 0, (1, 0, 0), -12): (0, 85)
(7, 1, 0, (1, 0, 0), -11): (0, 125)
(7, 1, 0, (1, 0, 0), -10): (0, 195)
(7, 1, 0, (1, 0, 0), -9): (1, 322)
(7, 1, 0, (1, 0, 0), -8): (3, 571)
(7, 1, 0, (1, 0, 0), -7): (19, 889)
(7, 1, 0, (1, 0, 0), -6): (32, 1349)
(7, 1, 0, (1, 0, 0), -5): (97, 1919)
(7, 1, 0, (1, 0, 0), -4): (220, 2694)
(7, 1, 0, (1, 0, 0), -3): (632, 3642)
(7, 1, 0, (1, 0, 0), -2): (1383, 4739)
(7, 1, 0, (1, 0, 0), -1): (2518, 5766)
(7, 1, 0, (1, 0, 0), 0): (4283, 6356)
(7, 1, 0, (1, 0, 0), 1): (4882, 5709)
(7, 1, 0, (1, 0, 0), 2): (4374, 4710)
(7, 1, 0, (1, 0, 0), 3): (3511, 3632)
(7, 1, 0, (1, 0, 0), 4): (2576, 2631)
(7, 1, 0, (1, 0, 0), 5): (1785, 1797)
(7, 1, 0, (1, 0, 0), 6): (1305, 1312)
(7, 1, 0, (1, 0, 0), 7): (825, 827)
(7, 1, 0, (1, 0, 0), 8): (526, 527)
(7, 1, 0, (1, 0, 0), 9): (348, 348)
(7, 1, 0, (1, 0, 0), 10): (211, 211)
(7, 1, 0, (1, 0, 0), 11): (155, 155)
(7, 1, 0, (1, 0, 0), 12): (72, 72)
(7, 1, 0, (1, 0, 0), 13): (45, 45)
(7, 1, 0, (1, 0, 0), 14): (25, 25)
(7, 1, 0, (1, 0, 0), 15): (16, 16)
(7, 1, 0, (1, 0, 0), 16): (7, 7)
(7, 1, 0, (1, 0, 0), 17): (8, 8)
(7, 1, 0, (1, 0, 0), 18): (2, 2)
(7, 1, 0, (1, 0, 0), 19): (1, 1)
(7, 1, 0, (1, 0, 0), 22): (1, 1)
(7, 1, 0, (1, 0, 1), -17): (0, 2)
(7, 1, 0, (1, 0, 1), -16): (0, 2)
(7, 1, 0, (1, 0, 1), -15): (0, 2)
(7, 1, 0, (1, 0, 1), -14): (0, 4)
(7, 1, 0, (1, 0, 1), -13): (0, 2)
(7, 1, 0, (1, 0, 1), -12): (0, 11)
(7, 1, 0, (1, 0, 1), -11): (0, 9)
(7, 1, 0, (1, 0, 1), -10): (0, 13)
(7, 1, 0, (1, 0, 1), -9): (0, 28)
(7, 1, 0, (1, 0, 1), -8): (1, 36)
(7, 1, 0, (1, 0, 1), -7): (2, 65)
(7, 1, 0, (1, 0, 1), -6): (8, 89)
(7, 1, 0, (1, 0, 1), -5): (15, 166)
(7, 1, 0, (1, 0, 1), -4): (21, 212)
(7, 1, 0, (1, 0, 1), -3): (65, 279)
(7, 1, 0, (1, 0, 1), -2): (167, 388)
(7, 1, 0, (1, 0, 1), -1): (278, 462)
(7, 1, 0, (1, 0, 1), 0): (419, 515)
(7, 1, 0, (1, 0, 1), 1): (481, 509)
(7, 1, 0, (1, 0, 1), 2): (463, 477)
(7, 1, 0, (1, 0, 1), 3): (360, 364)
(7, 1, 0, (1, 0, 1), 4): (312, 314)
(7, 1, 0, (1, 0, 1), 5): (194, 195)
(7, 1, 0, (1, 0, 1), 6): (116, 116)
(7, 1, 0, (1, 0, 1), 7): (123, 123)
(7, 1, 0, (1, 0, 1), 8): (64, 64)
(7, 1, 0, (1, 0, 1), 9): (39, 39)
(7, 1, 0, (1, 0, 1), 10): (26, 26)
(7, 1, 0, (1, 0, 1), 11): (15, 15)
(7, 1, 0, (1, 0, 1), 12): (3, 3)
(7, 1, 0, (1, 0, 1), 13): (3, 3)
(7, 1, 0, (1, 0, 1), 15): (3, 3)
(7, 1, 0, (1, 0, 1), 17): (1, 1)
(7, 1, 0, (1, 0, 1), 18): (1, 1)
(7, 1, 0, (1, 0, 1), 22): (1, 1)
(7, 1, 0, (1, 1, 0), -19): (0, 2)
(7, 1, 0, (1, 1, 0), -17): (0, 2)
(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, 13)
(7, 1, 0, (1, 1, 0), -13): (0, 10)
(7, 1, 0, (1, 1, 0), -12): (0, 19)
(7, 1, 0, (1, 1, 0), -11): (0, 27)
(7, 1, 0, (1, 1, 0), -10): (0, 55)
(7, 1, 0, (1, 1, 0), -9): (1, 85)
(7, 1, 0, (1, 1, 0), -8): (2, 143)
(7, 1, 0, (1, 1, 0), -7): (8, 226)
(7, 1, 0, (1, 1, 0), -6): (15, 356)
(7, 1, 0, (1, 1, 0), -5): (39, 500)
(7, 1, 0, (1, 1, 0), -4): (82, 679)
(7, 1, 0, (1, 1, 0), -3): (255, 973)
(7, 1, 0, (1, 1, 0), -2): (470, 1243)
(7, 1, 0, (1, 1, 0), -1): (597, 1072)
(7, 1, 0, (1, 1, 0), 0): (861, 1144)
(7, 1, 0, (1, 1, 0), 1): (953, 1064)
(7, 1, 0, (1, 1, 0), 2): (903, 958)
(7, 1, 0, (1, 1, 0), 3): (777, 794)
(7, 1, 0, (1, 1, 0), 4): (680, 692)
(7, 1, 0, (1, 1, 0), 5): (492, 493)
(7, 1, 0, (1, 1, 0), 6): (371, 372)
(7, 1, 0, (1, 1, 0), 7): (210, 211)
(7, 1, 0, (1, 1, 0), 8): (171, 171)
(7, 1, 0, (1, 1, 0), 9): (115, 115)
(7, 1, 0, (1, 1, 0), 10): (51, 51)
(7, 1, 0, (1, 1, 0), 11): (41, 41)
(7, 1, 0, (1, 1, 0), 12): (23, 23)
(7, 1, 0, (1, 1, 0), 13): (12, 12)
(7, 1, 0, (1, 1, 0), 14): (8, 8)
(7, 1, 0, (1, 1, 0), 15): (4, 4)
(7, 1, 0, (1, 1, 0), 16): (2, 2)
(7, 1, 0, (1, 1, 0), 17): (3, 3)
(7, 1, 0, (1, 1, 0), 18): (3, 3)
(7, 1, 0, (1, 1, 1), -14): (0, 3)
(7, 1, 0, (1, 1, 1), -13): (0, 7)
(7, 1, 0, (1, 1, 1), -12): (0, 4)
(7, 1, 0, (1, 1, 1), -11): (0, 6)
(7, 1, 0, (1, 1, 1), -10): (0, 17)
(7, 1, 0, (1, 1, 1), -9): (0, 19)
(7, 1, 0, (1, 1, 1), -8): (1, 34)
(7, 1, 0, (1, 1, 1), -7): (3, 44)
(7, 1, 0, (1, 1, 1), -6): (4, 71)
(7, 1, 0, (1, 1, 1), -5): (23, 122)
(7, 1, 0, (1, 1, 1), -4): (28, 149)
(7, 1, 0, (1, 1, 1), -3): (73, 206)
(7, 1, 0, (1, 1, 1), -2): (166, 287)
(7, 1, 0, (1, 1, 1), -1): (207, 275)
(7, 1, 0, (1, 1, 1), 0): (305, 363)
(7, 1, 0, (1, 1, 1), 1): (329, 348)
(7, 1, 0, (1, 1, 1), 2): (304, 315)
(7, 1, 0, (1, 1, 1), 3): (247, 249)
(7, 1, 0, (1, 1, 1), 4): (213, 214)
(7, 1, 0, (1, 1, 1), 5): (155, 155)
(7, 1, 0, (1, 1, 1), 6): (119, 119)
(7, 1, 0, (1, 1, 1), 7): (79, 79)
(7, 1, 0, (1, 1, 1), 8): (39, 39)
(7, 1, 0, (1, 1, 1), 9): (29, 29)
(7, 1, 0, (1, 1, 1), 10): (15, 15)
(7, 1, 0, (1, 1, 1), 11): (13, 13)
(7, 1, 0, (1, 1, 1), 12): (4, 4)
(7, 1, 0, (1, 1, 1), 13): (5, 5)
(7, 1, 0, (1, 1, 1), 14): (1, 1)
(7, 1, 0, (1, 1, 1), 16): (1, 1)
(7, 1, 0, (1, 1, 1), 22): (1, 1)
(7, 1, 1, (0, 0, 0), -24): (0, 2)
(7, 1, 1, (0, 0, 0), -23): (0, 1)
(7, 1, 1, (0, 0, 0), -22): (0, 2)
(7, 1, 1, (0, 0, 0), -21): (0, 1)
(7, 1, 1, (0, 0, 0), -20): (0, 3)
(7, 1, 1, (0, 0, 0), -19): (0, 8)
(7, 1, 1, (0, 0, 0), -18): (0, 7)
(7, 1, 1, (0, 0, 0), -17): (0, 18)
(7, 1, 1, (0, 0, 0), -16): (0, 20)
(7, 1, 1, (0, 0, 0), -15): (0, 48)
(7, 1, 1, (0, 0, 0), -14): (0, 85)
(7, 1, 1, (0, 0, 0), -13): (0, 127)
(7, 1, 1, (0, 0, 0), -12): (0, 223)
(7, 1, 1, (0, 0, 0), -11): (1, 351)
(7, 1, 1, (0, 0, 0), -10): (1, 569)
(7, 1, 1, (0, 0, 0), -9): (0, 903)
(7, 1, 1, (0, 0, 0), -8): (6, 1472)
(7, 1, 1, (0, 0, 0), -7): (14, 2292)
(7, 1, 1, (0, 0, 0), -6): (38, 3442)
(7, 1, 1, (0, 0, 0), -5): (142, 5172)
(7, 1, 1, (0, 0, 0), -4): (325, 7092)
(7, 1, 1, (0, 0, 0), -3): (806, 9653)
(7, 1, 1, (0, 0, 0), -2): (2171, 12718)
(7, 1, 1, (0, 0, 0), -1): (4671, 15271)
(7, 1, 1, (0, 0, 0), 0): (9372, 16375)
(7, 1, 1, (0, 0, 0), 1): (12125, 15124)
(7, 1, 1, (0, 0, 0), 2): (11261, 12499)
(7, 1, 1, (0, 0, 0), 3): (9142, 9580)
(7, 1, 1, (0, 0, 0), 4): (6904, 7064)
(7, 1, 1, (0, 0, 0), 5): (4927, 4976)
(7, 1, 1, (0, 0, 0), 6): (3318, 3335)
(7, 1, 1, (0, 0, 0), 7): (2220, 2222)
(7, 1, 1, (0, 0, 0), 8): (1479, 1480)
(7, 1, 1, (0, 0, 0), 9): (911, 911)
(7, 1, 1, (0, 0, 0), 10): (609, 610)
(7, 1, 1, (0, 0, 0), 11): (361, 361)
(7, 1, 1, (0, 0, 0), 12): (211, 211)
(7, 1, 1, (0, 0, 0), 13): (131, 131)
(7, 1, 1, (0, 0, 0), 14): (71, 71)
(7, 1, 1, (0, 0, 0), 15): (37, 37)
(7, 1, 1, (0, 0, 0), 16): (32, 32)
(7, 1, 1, (0, 0, 0), 17): (10, 10)
(7, 1, 1, (0, 0, 0), 18): (8, 8)
(7, 1, 1, (0, 0, 0), 19): (3, 3)
(7, 1, 1, (0, 0, 0), 20): (3, 3)
(7, 1, 1, (0, 0, 0), 21): (2, 2)
(7, 1, 1, (0, 0, 1), -17): (0, 1)
(7, 1, 1, (0, 0, 1), -15): (0, 2)
(7, 1, 1, (0, 0, 1), -14): (0, 2)
(7, 1, 1, (0, 0, 1), -13): (0, 7)
(7, 1, 1, (0, 0, 1), -12): (1, 8)
(7, 1, 1, (0, 0, 1), -11): (0, 16)
(7, 1, 1, (0, 0, 1), -10): (0, 22)
(7, 1, 1, (0, 0, 1), -9): (0, 39)
(7, 1, 1, (0, 0, 1), -8): (1, 60)
(7, 1, 1, (0, 0, 1), -7): (1, 98)
(7, 1, 1, (0, 0, 1), -6): (4, 131)
(7, 1, 1, (0, 0, 1), -5): (12, 220)
(7, 1, 1, (0, 0, 1), -4): (28, 322)
(7, 1, 1, (0, 0, 1), -3): (68, 411)
(7, 1, 1, (0, 0, 1), -2): (161, 570)
(7, 1, 1, (0, 0, 1), -1): (496, 986)
(7, 1, 1, (0, 0, 1), 0): (829, 1175)
(7, 1, 1, (0, 0, 1), 1): (1022, 1165)
(7, 1, 1, (0, 0, 1), 2): (1018, 1100)
(7, 1, 1, (0, 0, 1), 3): (841, 867)
(7, 1, 1, (0, 0, 1), 4): (641, 655)
(7, 1, 1, (0, 0, 1), 5): (427, 429)
(7, 1, 1, (0, 0, 1), 6): (279, 280)
(7, 1, 1, (0, 0, 1), 7): (175, 175)
(7, 1, 1, (0, 0, 1), 8): (127, 127)
(7, 1, 1, (0, 0, 1), 9): (81, 81)
(7, 1, 1, (0, 0, 1), 10): (42, 42)
(7, 1, 1, (0, 0, 1), 11): (26, 26)
(7, 1, 1, (0, 0, 1), 12): (21, 21)
(7, 1, 1, (0, 0, 1), 13): (8, 8)
(7, 1, 1, (0, 0, 1), 14): (7, 7)
(7, 1, 1, (0, 0, 1), 15): (3, 3)
(7, 1, 1, (0, 0, 1), 16): (1, 1)
(7, 1, 1, (0, 0, 1), 17): (3, 3)
(7, 1, 1, (0, 1, 0), -18): (0, 2)
(7, 1, 1, (0, 1, 0), -17): (0, 2)
(7, 1, 1, (0, 1, 0), -16): (0, 2)
(7, 1, 1, (0, 1, 0), -15): (0, 8)
(7, 1, 1, (0, 1, 0), -14): (0, 11)
(7, 1, 1, (0, 1, 0), -13): (0, 21)
(7, 1, 1, (0, 1, 0), -12): (0, 28)
(7, 1, 1, (0, 1, 0), -11): (0, 41)
(7, 1, 1, (0, 1, 0), -10): (0, 86)
(7, 1, 1, (0, 1, 0), -9): (0, 104)
(7, 1, 1, (0, 1, 0), -8): (2, 190)
(7, 1, 1, (0, 1, 0), -7): (2, 277)
(7, 1, 1, (0, 1, 0), -6): (13, 450)
(7, 1, 1, (0, 1, 0), -5): (35, 690)
(7, 1, 1, (0, 1, 0), -4): (66, 943)
(7, 1, 1, (0, 1, 0), -3): (149, 1317)
(7, 1, 1, (0, 1, 0), -2): (391, 1747)
(7, 1, 1, (0, 1, 0), -1): (1338, 3267)
(7, 1, 1, (0, 1, 0), 0): (2653, 4036)
(7, 1, 1, (0, 1, 0), 1): (3140, 3714)
(7, 1, 1, (0, 1, 0), 2): (2930, 3141)
(7, 1, 1, (0, 1, 0), 3): (2292, 2387)
(7, 1, 1, (0, 1, 0), 4): (1703, 1735)
(7, 1, 1, (0, 1, 0), 5): (1115, 1123)
(7, 1, 1, (0, 1, 0), 6): (704, 708)
(7, 1, 1, (0, 1, 0), 7): (476, 476)
(7, 1, 1, (0, 1, 0), 8): (345, 346)
(7, 1, 1, (0, 1, 0), 9): (200, 200)
(7, 1, 1, (0, 1, 0), 10): (123, 123)
(7, 1, 1, (0, 1, 0), 11): (92, 92)
(7, 1, 1, (0, 1, 0), 12): (58, 58)
(7, 1, 1, (0, 1, 0), 13): (25, 25)
(7, 1, 1, (0, 1, 0), 14): (22, 22)
(7, 1, 1, (0, 1, 0), 15): (7, 7)
(7, 1, 1, (0, 1, 0), 16): (6, 6)
(7, 1, 1, (0, 1, 0), 17): (3, 3)
(7, 1, 1, (0, 1, 0), 18): (2, 2)
(7, 1, 1, (0, 1, 0), 19): (1, 1)
(7, 1, 1, (0, 1, 0), 20): (1, 1)
(7, 1, 1, (0, 1, 0), 21): (2, 2)
(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, 3)
(7, 1, 1, (0, 1, 1), -15): (0, 1)
(7, 1, 1, (0, 1, 1), -14): (0, 7)
(7, 1, 1, (0, 1, 1), -13): (0, 6)
(7, 1, 1, (0, 1, 1), -12): (0, 12)
(7, 1, 1, (0, 1, 1), -11): (0, 13)
(7, 1, 1, (0, 1, 1), -10): (0, 16)
(7, 1, 1, (0, 1, 1), -9): (0, 29)
(7, 1, 1, (0, 1, 1), -8): (0, 39)
(7, 1, 1, (0, 1, 1), -7): (5, 91)
(7, 1, 1, (0, 1, 1), -6): (3, 129)
(7, 1, 1, (0, 1, 1), -5): (12, 191)
(7, 1, 1, (0, 1, 1), -4): (32, 287)
(7, 1, 1, (0, 1, 1), -3): (81, 400)
(7, 1, 1, (0, 1, 1), -2): (282, 739)
(7, 1, 1, (0, 1, 1), -1): (444, 804)
(7, 1, 1, (0, 1, 1), 0): (680, 868)
(7, 1, 1, (0, 1, 1), 1): (850, 973)
(7, 1, 1, (0, 1, 1), 2): (839, 880)
(7, 1, 1, (0, 1, 1), 3): (638, 655)
(7, 1, 1, (0, 1, 1), 4): (555, 563)
(7, 1, 1, (0, 1, 1), 5): (361, 363)
(7, 1, 1, (0, 1, 1), 6): (280, 281)
(7, 1, 1, (0, 1, 1), 7): (179, 179)
(7, 1, 1, (0, 1, 1), 8): (110, 110)
(7, 1, 1, (0, 1, 1), 9): (86, 86)
(7, 1, 1, (0, 1, 1), 10): (40, 41)
(7, 1, 1, (0, 1, 1), 11): (35, 35)
(7, 1, 1, (0, 1, 1), 12): (20, 20)
(7, 1, 1, (0, 1, 1), 13): (12, 12)
(7, 1, 1, (0, 1, 1), 14): (8, 8)
(7, 1, 1, (0, 1, 1), 15): (1, 1)
(7, 1, 1, (0, 1, 1), 18): (1, 1)
(7, 1, 1, (1, 0, 0), -24): (0, 1)
(7, 1, 1, (1, 0, 0), -22): (0, 1)
(7, 1, 1, (1, 0, 0), -21): (0, 2)
(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, 6)
(7, 1, 1, (1, 0, 0), -16): (0, 12)
(7, 1, 1, (1, 0, 0), -15): (0, 21)
(7, 1, 1, (1, 0, 0), -14): (0, 43)
(7, 1, 1, (1, 0, 0), -13): (0, 55)
(7, 1, 1, (1, 0, 0), -12): (0, 91)
(7, 1, 1, (1, 0, 0), -11): (0, 157)
(7, 1, 1, (1, 0, 0), -10): (1, 253)
(7, 1, 1, (1, 0, 0), -9): (0, 371)
(7, 1, 1, (1, 0, 0), -8): (2, 657)
(7, 1, 1, (1, 0, 0), -7): (14, 1040)
(7, 1, 1, (1, 0, 0), -6): (25, 1562)
(7, 1, 1, (1, 0, 0), -5): (83, 2302)
(7, 1, 1, (1, 0, 0), -4): (195, 3188)
(7, 1, 1, (1, 0, 0), -3): (488, 4315)
(7, 1, 1, (1, 0, 0), -2): (1217, 5470)
(7, 1, 1, (1, 0, 0), -1): (2289, 6348)
(7, 1, 1, (1, 0, 0), 0): (4230, 6793)
(7, 1, 1, (1, 0, 0), 1): (5136, 6201)
(7, 1, 1, (1, 0, 0), 2): (4733, 5183)
(7, 1, 1, (1, 0, 0), 3): (4015, 4165)
(7, 1, 1, (1, 0, 0), 4): (3121, 3195)
(7, 1, 1, (1, 0, 0), 5): (2255, 2279)
(7, 1, 1, (1, 0, 0), 6): (1653, 1664)
(7, 1, 1, (1, 0, 0), 7): (1066, 1069)
(7, 1, 1, (1, 0, 0), 8): (742, 743)
(7, 1, 1, (1, 0, 0), 9): (486, 487)
(7, 1, 1, (1, 0, 0), 10): (304, 305)
(7, 1, 1, (1, 0, 0), 11): (191, 191)
(7, 1, 1, (1, 0, 0), 12): (120, 120)
(7, 1, 1, (1, 0, 0), 13): (63, 63)
(7, 1, 1, (1, 0, 0), 14): (36, 36)
(7, 1, 1, (1, 0, 0), 15): (25, 25)
(7, 1, 1, (1, 0, 0), 16): (14, 14)
(7, 1, 1, (1, 0, 0), 17): (8, 8)
(7, 1, 1, (1, 0, 0), 18): (3, 3)
(7, 1, 1, (1, 0, 0), 20): (1, 1)
(7, 1, 1, (1, 0, 0), 21): (1, 1)
(7, 1, 1, (1, 0, 1), -18): (0, 1)
(7, 1, 1, (1, 0, 1), -17): (0, 3)
(7, 1, 1, (1, 0, 1), -15): (0, 3)
(7, 1, 1, (1, 0, 1), -14): (0, 5)
(7, 1, 1, (1, 0, 1), -13): (0, 11)
(7, 1, 1, (1, 0, 1), -12): (0, 10)
(7, 1, 1, (1, 0, 1), -11): (0, 19)
(7, 1, 1, (1, 0, 1), -10): (0, 33)
(7, 1, 1, (1, 0, 1), -9): (0, 57)
(7, 1, 1, (1, 0, 1), -8): (1, 96)
(7, 1, 1, (1, 0, 1), -7): (1, 127)
(7, 1, 1, (1, 0, 1), -6): (7, 181)
(7, 1, 1, (1, 0, 1), -5): (16, 297)
(7, 1, 1, (1, 0, 1), -4): (49, 447)
(7, 1, 1, (1, 0, 1), -3): (110, 613)
(7, 1, 1, (1, 0, 1), -2): (238, 761)
(7, 1, 1, (1, 0, 1), -1): (539, 1028)
(7, 1, 1, (1, 0, 1), 0): (966, 1295)
(7, 1, 1, (1, 0, 1), 1): (1051, 1204)
(7, 1, 1, (1, 0, 1), 2): (1036, 1104)
(7, 1, 1, (1, 0, 1), 3): (910, 936)
(7, 1, 1, (1, 0, 1), 4): (678, 686)
(7, 1, 1, (1, 0, 1), 5): (493, 496)
(7, 1, 1, (1, 0, 1), 6): (365, 367)
(7, 1, 1, (1, 0, 1), 7): (239, 239)
(7, 1, 1, (1, 0, 1), 8): (148, 148)
(7, 1, 1, (1, 0, 1), 9): (104, 104)
(7, 1, 1, (1, 0, 1), 10): (57, 57)
(7, 1, 1, (1, 0, 1), 11): (38, 38)
(7, 1, 1, (1, 0, 1), 12): (31, 31)
(7, 1, 1, (1, 0, 1), 13): (12, 12)
(7, 1, 1, (1, 0, 1), 14): (9, 9)
(7, 1, 1, (1, 0, 1), 15): (4, 4)
(7, 1, 1, (1, 0, 1), 16): (2, 2)
(7, 1, 1, (1, 0, 1), 17): (3, 3)
(7, 1, 1, (1, 0, 1), 18): (1, 1)
(7, 1, 1, (1, 0, 1), 20): (1, 1)
(7, 1, 1, (1, 1, 0), -19): (0, 1)
(7, 1, 1, (1, 1, 0), -18): (0, 2)
(7, 1, 1, (1, 1, 0), -17): (0, 5)
(7, 1, 1, (1, 1, 0), -16): (0, 3)
(7, 1, 1, (1, 1, 0), -15): (0, 5)
(7, 1, 1, (1, 1, 0), -14): (0, 17)
(7, 1, 1, (1, 1, 0), -13): (0, 18)
(7, 1, 1, (1, 1, 0), -12): (0, 37)
(7, 1, 1, (1, 1, 0), -11): (0, 50)
(7, 1, 1, (1, 1, 0), -10): (0, 85)
(7, 1, 1, (1, 1, 0), -9): (0, 133)
(7, 1, 1, (1, 1, 0), -8): (2, 198)
(7, 1, 1, (1, 1, 0), -7): (8, 382)
(7, 1, 1, (1, 1, 0), -6): (18, 583)
(7, 1, 1, (1, 1, 0), -5): (41, 808)
(7, 1, 1, (1, 1, 0), -4): (108, 1131)
(7, 1, 1, (1, 1, 0), -3): (268, 1542)
(7, 1, 1, (1, 1, 0), -2): (568, 1949)
(7, 1, 1, (1, 1, 0), -1): (987, 2179)
(7, 1, 1, (1, 1, 0), 0): (1773, 2632)
(7, 1, 1, (1, 1, 0), 1): (2143, 2528)
(7, 1, 1, (1, 1, 0), 2): (1940, 2088)
(7, 1, 1, (1, 1, 0), 3): (1665, 1717)
(7, 1, 1, (1, 1, 0), 4): (1325, 1351)
(7, 1, 1, (1, 1, 0), 5): (990, 995)
(7, 1, 1, (1, 1, 0), 6): (676, 680)
(7, 1, 1, (1, 1, 0), 7): (456, 457)
(7, 1, 1, (1, 1, 0), 8): (354, 354)
(7, 1, 1, (1, 1, 0), 9): (208, 209)
(7, 1, 1, (1, 1, 0), 10): (147, 147)
(7, 1, 1, (1, 1, 0), 11): (96, 96)
(7, 1, 1, (1, 1, 0), 12): (54, 54)
(7, 1, 1, (1, 1, 0), 13): (31, 31)
(7, 1, 1, (1, 1, 0), 14): (18, 18)
(7, 1, 1, (1, 1, 0), 15): (11, 11)
(7, 1, 1, (1, 1, 0), 16): (7, 7)
(7, 1, 1, (1, 1, 0), 18): (4, 4)
(7, 1, 1, (1, 1, 0), 19): (1, 1)
(7, 1, 1, (1, 1, 0), 21): (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, 4)
(7, 1, 1, (1, 1, 1), -13): (0, 6)
(7, 1, 1, (1, 1, 1), -12): (0, 12)
(7, 1, 1, (1, 1, 1), -11): (0, 20)
(7, 1, 1, (1, 1, 1), -10): (0, 17)
(7, 1, 1, (1, 1, 1), -9): (0, 41)
(7, 1, 1, (1, 1, 1), -8): (3, 54)
(7, 1, 1, (1, 1, 1), -7): (3, 77)
(7, 1, 1, (1, 1, 1), -6): (7, 148)
(7, 1, 1, (1, 1, 1), -5): (20, 216)
(7, 1, 1, (1, 1, 1), -4): (51, 285)
(7, 1, 1, (1, 1, 1), -3): (106, 436)
(7, 1, 1, (1, 1, 1), -2): (232, 576)
(7, 1, 1, (1, 1, 1), -1): (482, 837)
(7, 1, 1, (1, 1, 1), 0): (858, 1105)
(7, 1, 1, (1, 1, 1), 1): (991, 1115)
(7, 1, 1, (1, 1, 1), 2): (917, 970)
(7, 1, 1, (1, 1, 1), 3): (789, 808)
(7, 1, 1, (1, 1, 1), 4): (565, 572)
(7, 1, 1, (1, 1, 1), 5): (421, 426)
(7, 1, 1, (1, 1, 1), 6): (304, 306)
(7, 1, 1, (1, 1, 1), 7): (199, 200)
(7, 1, 1, (1, 1, 1), 8): (115, 115)
(7, 1, 1, (1, 1, 1), 9): (87, 87)
(7, 1, 1, (1, 1, 1), 10): (41, 41)
(7, 1, 1, (1, 1, 1), 11): (30, 30)
(7, 1, 1, (1, 1, 1), 12): (21, 21)
(7, 1, 1, (1, 1, 1), 13): (14, 14)
(7, 1, 1, (1, 1, 1), 14): (9, 9)
(7, 1, 1, (1, 1, 1), 15): (3, 3)
(7, 1, 1, (1, 1, 1), 16): (2, 2)
(7, 1, 1, (1, 1, 1), 17): (1, 1)
(7, 1, 1, (1, 1, 1), 18): (2, 2)
(7, 1, 1, (1, 1, 1), 22): (1, 1)
(7, 1, 2, (0, 0, 0), -24): (0, 1)
(7, 1, 2, (0, 0, 0), -22): (0, 2)
(7, 1, 2, (0, 0, 0), -20): (0, 3)
(7, 1, 2, (0, 0, 0), -19): (0, 7)
(7, 1, 2, (0, 0, 0), -18): (0, 7)
(7, 1, 2, (0, 0, 0), -17): (0, 13)
(7, 1, 2, (0, 0, 0), -16): (0, 14)
(7, 1, 2, (0, 0, 0), -15): (0, 34)
(7, 1, 2, (0, 0, 0), -14): (0, 56)
(7, 1, 2, (0, 0, 0), -13): (0, 94)
(7, 1, 2, (0, 0, 0), -12): (0, 166)
(7, 1, 2, (0, 0, 0), -11): (2, 267)
(7, 1, 2, (0, 0, 0), -10): (0, 406)
(7, 1, 2, (0, 0, 0), -9): (0, 703)
(7, 1, 2, (0, 0, 0), -8): (1, 1106)
(7, 1, 2, (0, 0, 0), -7): (7, 1692)
(7, 1, 2, (0, 0, 0), -6): (20, 2595)
(7, 1, 2, (0, 0, 0), -5): (69, 3834)
(7, 1, 2, (0, 0, 0), -4): (195, 5355)
(7, 1, 2, (0, 0, 0), -3): (510, 7299)
(7, 1, 2, (0, 0, 0), -2): (1402, 9826)
(7, 1, 2, (0, 0, 0), -1): (3077, 11437)
(7, 1, 2, (0, 0, 0), 0): (6699, 12340)
(7, 1, 2, (0, 0, 0), 1): (9278, 11818)
(7, 1, 2, (0, 0, 0), 2): (8793, 9839)
(7, 1, 2, (0, 0, 0), 3): (7398, 7796)
(7, 1, 2, (0, 0, 0), 4): (5644, 5781)
(7, 1, 2, (0, 0, 0), 5): (4118, 4157)
(7, 1, 2, (0, 0, 0), 6): (2799, 2812)
(7, 1, 2, (0, 0, 0), 7): (1897, 1897)
(7, 1, 2, (0, 0, 0), 8): (1248, 1248)
(7, 1, 2, (0, 0, 0), 9): (778, 778)
(7, 1, 2, (0, 0, 0), 10): (544, 544)
(7, 1, 2, (0, 0, 0), 11): (314, 314)
(7, 1, 2, (0, 0, 0), 12): (186, 186)
(7, 1, 2, (0, 0, 0), 13): (137, 137)
(7, 1, 2, (0, 0, 0), 14): (69, 69)
(7, 1, 2, (0, 0, 0), 15): (49, 49)
(7, 1, 2, (0, 0, 0), 16): (28, 28)
(7, 1, 2, (0, 0, 0), 17): (7, 7)
(7, 1, 2, (0, 0, 0), 18): (10, 10)
(7, 1, 2, (0, 0, 0), 19): (5, 5)
(7, 1, 2, (0, 0, 0), 20): (2, 2)
(7, 1, 2, (0, 0, 0), 21): (1, 1)
(7, 1, 2, (0, 0, 0), 22): (1, 1)
(7, 1, 2, (0, 0, 1), -16): (0, 1)
(7, 1, 2, (0, 0, 1), -15): (0, 5)
(7, 1, 2, (0, 0, 1), -14): (0, 10)
(7, 1, 2, (0, 0, 1), -13): (0, 14)
(7, 1, 2, (0, 0, 1), -12): (0, 11)
(7, 1, 2, (0, 0, 1), -11): (0, 20)
(7, 1, 2, (0, 0, 1), -10): (0, 29)
(7, 1, 2, (0, 0, 1), -9): (0, 69)
(7, 1, 2, (0, 0, 1), -8): (0, 96)
(7, 1, 2, (0, 0, 1), -7): (0, 123)
(7, 1, 2, (0, 0, 1), -6): (3, 208)
(7, 1, 2, (0, 0, 1), -5): (13, 335)
(7, 1, 2, (0, 0, 1), -4): (26, 488)
(7, 1, 2, (0, 0, 1), -3): (61, 651)
(7, 1, 2, (0, 0, 1), -2): (150, 876)
(7, 1, 2, (0, 0, 1), -1): (488, 1459)
(7, 1, 2, (0, 0, 1), 0): (1014, 1661)
(7, 1, 2, (0, 0, 1), 1): (1219, 1497)
(7, 1, 2, (0, 0, 1), 2): (1309, 1430)
(7, 1, 2, (0, 0, 1), 3): (1093, 1154)
(7, 1, 2, (0, 0, 1), 4): (944, 962)
(7, 1, 2, (0, 0, 1), 5): (651, 655)
(7, 1, 2, (0, 0, 1), 6): (409, 412)
(7, 1, 2, (0, 0, 1), 7): (311, 311)
(7, 1, 2, (0, 0, 1), 8): (221, 221)
(7, 1, 2, (0, 0, 1), 9): (141, 141)
(7, 1, 2, (0, 0, 1), 10): (74, 74)
(7, 1, 2, (0, 0, 1), 11): (68, 68)
(7, 1, 2, (0, 0, 1), 12): (30, 30)
(7, 1, 2, (0, 0, 1), 13): (21, 21)
(7, 1, 2, (0, 0, 1), 14): (14, 14)
(7, 1, 2, (0, 0, 1), 15): (8, 8)
(7, 1, 2, (0, 0, 1), 16): (3, 3)
(7, 1, 2, (0, 0, 1), 17): (2, 2)
(7, 1, 2, (0, 0, 1), 18): (1, 1)
(7, 1, 2, (0, 0, 1), 20): (1, 1)
(7, 1, 2, (0, 1, 0), -21): (0, 2)
(7, 1, 2, (0, 1, 0), -20): (0, 2)
(7, 1, 2, (0, 1, 0), -19): (0, 1)
(7, 1, 2, (0, 1, 0), -17): (0, 2)
(7, 1, 2, (0, 1, 0), -16): (0, 1)
(7, 1, 2, (0, 1, 0), -15): (0, 12)
(7, 1, 2, (0, 1, 0), -14): (0, 13)
(7, 1, 2, (0, 1, 0), -13): (0, 17)
(7, 1, 2, (0, 1, 0), -12): (0, 38)
(7, 1, 2, (0, 1, 0), -11): (0, 60)
(7, 1, 2, (0, 1, 0), -10): (0, 111)
(7, 1, 2, (0, 1, 0), -9): (1, 128)
(7, 1, 2, (0, 1, 0), -8): (0, 265)
(7, 1, 2, (0, 1, 0), -7): (2, 360)
(7, 1, 2, (0, 1, 0), -6): (10, 559)
(7, 1, 2, (0, 1, 0), -5): (25, 858)
(7, 1, 2, (0, 1, 0), -4): (61, 1126)
(7, 1, 2, (0, 1, 0), -3): (132, 1618)
(7, 1, 2, (0, 1, 0), -2): (399, 2251)
(7, 1, 2, (0, 1, 0), -1): (1074, 3373)
(7, 1, 2, (0, 1, 0), 0): (2448, 4039)
(7, 1, 2, (0, 1, 0), 1): (3217, 3971)
(7, 1, 2, (0, 1, 0), 2): (3090, 3380)
(7, 1, 2, (0, 1, 0), 3): (2680, 2799)
(7, 1, 2, (0, 1, 0), 4): (2163, 2212)
(7, 1, 2, (0, 1, 0), 5): (1573, 1589)
(7, 1, 2, (0, 1, 0), 6): (1007, 1012)
(7, 1, 2, (0, 1, 0), 7): (632, 634)
(7, 1, 2, (0, 1, 0), 8): (469, 469)
(7, 1, 2, (0, 1, 0), 9): (328, 329)
(7, 1, 2, (0, 1, 0), 10): (194, 194)
(7, 1, 2, (0, 1, 0), 11): (118, 118)
(7, 1, 2, (0, 1, 0), 12): (92, 92)
(7, 1, 2, (0, 1, 0), 13): (51, 51)
(7, 1, 2, (0, 1, 0), 14): (33, 33)
(7, 1, 2, (0, 1, 0), 15): (16, 16)
(7, 1, 2, (0, 1, 0), 16): (11, 11)
(7, 1, 2, (0, 1, 0), 17): (3, 3)
(7, 1, 2, (0, 1, 0), 18): (5, 5)
(7, 1, 2, (0, 1, 0), 21): (1, 1)
(7, 1, 2, (0, 1, 1), -17): (0, 1)
(7, 1, 2, (0, 1, 1), -16): (0, 2)
(7, 1, 2, (0, 1, 1), -15): (0, 2)
(7, 1, 2, (0, 1, 1), -14): (0, 1)
(7, 1, 2, (0, 1, 1), -13): (0, 7)
(7, 1, 2, (0, 1, 1), -12): (0, 9)
(7, 1, 2, (0, 1, 1), -11): (0, 14)
(7, 1, 2, (0, 1, 1), -10): (0, 20)
(7, 1, 2, (0, 1, 1), -9): (0, 29)
(7, 1, 2, (0, 1, 1), -8): (0, 59)
(7, 1, 2, (0, 1, 1), -7): (3, 95)
(7, 1, 2, (0, 1, 1), -6): (4, 133)
(7, 1, 2, (0, 1, 1), -5): (8, 253)
(7, 1, 2, (0, 1, 1), -4): (24, 311)
(7, 1, 2, (0, 1, 1), -3): (66, 475)
(7, 1, 2, (0, 1, 1), -2): (156, 679)
(7, 1, 2, (0, 1, 1), -1): (282, 725)
(7, 1, 2, (0, 1, 1), 0): (562, 921)
(7, 1, 2, (0, 1, 1), 1): (880, 1066)
(7, 1, 2, (0, 1, 1), 2): (865, 939)
(7, 1, 2, (0, 1, 1), 3): (733, 760)
(7, 1, 2, (0, 1, 1), 4): (605, 620)
(7, 1, 2, (0, 1, 1), 5): (455, 458)
(7, 1, 2, (0, 1, 1), 6): (326, 328)
(7, 1, 2, (0, 1, 1), 7): (211, 211)
(7, 1, 2, (0, 1, 1), 8): (141, 141)
(7, 1, 2, (0, 1, 1), 9): (89, 89)
(7, 1, 2, (0, 1, 1), 10): (61, 62)
(7, 1, 2, (0, 1, 1), 11): (52, 52)
(7, 1, 2, (0, 1, 1), 12): (29, 29)
(7, 1, 2, (0, 1, 1), 13): (12, 12)
(7, 1, 2, (0, 1, 1), 14): (4, 4)
(7, 1, 2, (0, 1, 1), 15): (5, 5)
(7, 1, 2, (0, 1, 1), 16): (4, 4)
(7, 1, 2, (0, 1, 1), 19): (2, 2)
(7, 1, 2, (1, 0, 0), -24): (0, 2)
(7, 1, 2, (1, 0, 0), -22): (0, 1)
(7, 1, 2, (1, 0, 0), -21): (0, 1)
(7, 1, 2, (1, 0, 0), -20): (0, 1)
(7, 1, 2, (1, 0, 0), -19): (0, 1)
(7, 1, 2, (1, 0, 0), -18): (0, 1)
(7, 1, 2, (1, 0, 0), -17): (0, 6)
(7, 1, 2, (1, 0, 0), -16): (0, 9)
(7, 1, 2, (1, 0, 0), -15): (0, 18)
(7, 1, 2, (1, 0, 0), -14): (0, 34)
(7, 1, 2, (1, 0, 0), -13): (0, 44)
(7, 1, 2, (1, 0, 0), -12): (0, 88)
(7, 1, 2, (1, 0, 0), -11): (2, 149)
(7, 1, 2, (1, 0, 0), -10): (1, 257)
(7, 1, 2, (1, 0, 0), -9): (0, 357)
(7, 1, 2, (1, 0, 0), -8): (1, 648)
(7, 1, 2, (1, 0, 0), -7): (1, 1029)
(7, 1, 2, (1, 0, 0), -6): (14, 1484)
(7, 1, 2, (1, 0, 0), -5): (56, 2232)
(7, 1, 2, (1, 0, 0), -4): (139, 3184)
(7, 1, 2, (1, 0, 0), -3): (362, 4210)
(7, 1, 2, (1, 0, 0), -2): (900, 5340)
(7, 1, 2, (1, 0, 0), -1): (1852, 6283)
(7, 1, 2, (1, 0, 0), 0): (3769, 6711)
(7, 1, 2, (1, 0, 0), 1): (4957, 6134)
(7, 1, 2, (1, 0, 0), 2): (4711, 5250)
(7, 1, 2, (1, 0, 0), 3): (4057, 4227)
(7, 1, 2, (1, 0, 0), 4): (3245, 3312)
(7, 1, 2, (1, 0, 0), 5): (2477, 2505)
(7, 1, 2, (1, 0, 0), 6): (1825, 1833)
(7, 1, 2, (1, 0, 0), 7): (1280, 1282)
(7, 1, 2, (1, 0, 0), 8): (830, 833)
(7, 1, 2, (1, 0, 0), 9): (599, 599)
(7, 1, 2, (1, 0, 0), 10): (388, 388)
(7, 1, 2, (1, 0, 0), 11): (215, 215)
(7, 1, 2, (1, 0, 0), 12): (147, 147)
(7, 1, 2, (1, 0, 0), 13): (84, 84)
(7, 1, 2, (1, 0, 0), 14): (53, 53)
(7, 1, 2, (1, 0, 0), 15): (35, 35)
(7, 1, 2, (1, 0, 0), 16): (20, 20)
(7, 1, 2, (1, 0, 0), 17): (10, 10)
(7, 1, 2, (1, 0, 0), 18): (5, 5)
(7, 1, 2, (1, 0, 0), 19): (4, 4)
(7, 1, 2, (1, 0, 0), 20): (1, 1)
(7, 1, 2, (1, 0, 0), 22): (1, 1)
(7, 1, 2, (1, 0, 1), -17): (0, 2)
(7, 1, 2, (1, 0, 1), -16): (0, 3)
(7, 1, 2, (1, 0, 1), -15): (0, 2)
(7, 1, 2, (1, 0, 1), -14): (0, 5)
(7, 1, 2, (1, 0, 1), -13): (0, 10)
(7, 1, 2, (1, 0, 1), -12): (0, 11)
(7, 1, 2, (1, 0, 1), -11): (0, 21)
(7, 1, 2, (1, 0, 1), -10): (0, 36)
(7, 1, 2, (1, 0, 1), -9): (0, 58)
(7, 1, 2, (1, 0, 1), -8): (0, 91)
(7, 1, 2, (1, 0, 1), -7): (3, 157)
(7, 1, 2, (1, 0, 1), -6): (6, 218)
(7, 1, 2, (1, 0, 1), -5): (17, 398)
(7, 1, 2, (1, 0, 1), -4): (37, 543)
(7, 1, 2, (1, 0, 1), -3): (82, 757)
(7, 1, 2, (1, 0, 1), -2): (214, 1060)
(7, 1, 2, (1, 0, 1), -1): (497, 1326)
(7, 1, 2, (1, 0, 1), 0): (1023, 1643)
(7, 1, 2, (1, 0, 1), 1): (1281, 1566)
(7, 1, 2, (1, 0, 1), 2): (1314, 1422)
(7, 1, 2, (1, 0, 1), 3): (1150, 1190)
(7, 1, 2, (1, 0, 1), 4): (917, 936)
(7, 1, 2, (1, 0, 1), 5): (719, 723)
(7, 1, 2, (1, 0, 1), 6): (485, 489)
(7, 1, 2, (1, 0, 1), 7): (358, 358)
(7, 1, 2, (1, 0, 1), 8): (227, 227)
(7, 1, 2, (1, 0, 1), 9): (173, 173)
(7, 1, 2, (1, 0, 1), 10): (103, 103)
(7, 1, 2, (1, 0, 1), 11): (52, 52)
(7, 1, 2, (1, 0, 1), 12): (38, 38)
(7, 1, 2, (1, 0, 1), 13): (27, 27)
(7, 1, 2, (1, 0, 1), 14): (8, 8)
(7, 1, 2, (1, 0, 1), 15): (4, 4)
(7, 1, 2, (1, 0, 1), 16): (5, 5)
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(7, 1, 2, (1, 1, 0), -16): (0, 4)
(7, 1, 2, (1, 1, 0), -15): (0, 3)
(7, 1, 2, (1, 1, 0), -14): (0, 11)
(7, 1, 2, (1, 1, 0), -13): (0, 17)
(7, 1, 2, (1, 1, 0), -12): (0, 47)
(7, 1, 2, (1, 1, 0), -11): (1, 60)
(7, 1, 2, (1, 1, 0), -10): (0, 110)
(7, 1, 2, (1, 1, 0), -9): (1, 155)
(7, 1, 2, (1, 1, 0), -8): (1, 214)
(7, 1, 2, (1, 1, 0), -7): (4, 430)
(7, 1, 2, (1, 1, 0), -6): (9, 614)
(7, 1, 2, (1, 1, 0), -5): (27, 951)
(7, 1, 2, (1, 1, 0), -4): (81, 1354)
(7, 1, 2, (1, 1, 0), -3): (175, 1730)
(7, 1, 2, (1, 1, 0), -2): (473, 2276)
(7, 1, 2, (1, 1, 0), -1): (904, 2695)
(7, 1, 2, (1, 1, 0), 0): (2146, 3471)
(7, 1, 2, (1, 1, 0), 1): (2721, 3337)
(7, 1, 2, (1, 1, 0), 2): (2584, 2820)
(7, 1, 2, (1, 1, 0), 3): (2173, 2266)
(7, 1, 2, (1, 1, 0), 4): (1791, 1835)
(7, 1, 2, (1, 1, 0), 5): (1371, 1381)
(7, 1, 2, (1, 1, 0), 6): (934, 936)
(7, 1, 2, (1, 1, 0), 7): (621, 624)
(7, 1, 2, (1, 1, 0), 8): (474, 475)
(7, 1, 2, (1, 1, 0), 9): (303, 304)
(7, 1, 2, (1, 1, 0), 10): (192, 192)
(7, 1, 2, (1, 1, 0), 11): (133, 133)
(7, 1, 2, (1, 1, 0), 12): (71, 71)
(7, 1, 2, (1, 1, 0), 13): (49, 49)
(7, 1, 2, (1, 1, 0), 14): (35, 35)
(7, 1, 2, (1, 1, 0), 15): (17, 17)
(7, 1, 2, (1, 1, 0), 16): (10, 10)
(7, 1, 2, (1, 1, 0), 17): (5, 5)
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(7, 1, 2, (1, 1, 1), -13): (0, 4)
(7, 1, 2, (1, 1, 1), -12): (0, 11)
(7, 1, 2, (1, 1, 1), -11): (1, 18)
(7, 1, 2, (1, 1, 1), -10): (0, 24)
(7, 1, 2, (1, 1, 1), -9): (0, 42)
(7, 1, 2, (1, 1, 1), -8): (1, 64)
(7, 1, 2, (1, 1, 1), -7): (2, 103)
(7, 1, 2, (1, 1, 1), -6): (3, 166)
(7, 1, 2, (1, 1, 1), -5): (15, 260)
(7, 1, 2, (1, 1, 1), -4): (38, 383)
(7, 1, 2, (1, 1, 1), -3): (76, 484)
(7, 1, 2, (1, 1, 1), -2): (189, 737)
(7, 1, 2, (1, 1, 1), -1): (398, 971)
(7, 1, 2, (1, 1, 1), 0): (857, 1305)
(7, 1, 2, (1, 1, 1), 1): (1065, 1294)
(7, 1, 2, (1, 1, 1), 2): (1073, 1168)
(7, 1, 2, (1, 1, 1), 3): (936, 962)
(7, 1, 2, (1, 1, 1), 4): (713, 729)
(7, 1, 2, (1, 1, 1), 5): (511, 518)
(7, 1, 2, (1, 1, 1), 6): (391, 394)
(7, 1, 2, (1, 1, 1), 7): (220, 220)
(7, 1, 2, (1, 1, 1), 8): (168, 168)
(7, 1, 2, (1, 1, 1), 9): (117, 117)
(7, 1, 2, (1, 1, 1), 10): (70, 70)
(7, 1, 2, (1, 1, 1), 11): (45, 45)
(7, 1, 2, (1, 1, 1), 12): (24, 24)
(7, 1, 2, (1, 1, 1), 13): (19, 19)
(7, 1, 2, (1, 1, 1), 14): (14, 14)
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(8, 0, 0, (0, 0, 0), -18): (0, 14)
(8, 0, 0, (0, 0, 0), -17): (0, 21)
(8, 0, 0, (0, 0, 0), -16): (0, 62)
(8, 0, 0, (0, 0, 0), -15): (0, 102)
(8, 0, 0, (0, 0, 0), -14): (0, 154)
(8, 0, 0, (0, 0, 0), -13): (0, 280)
(8, 0, 0, (0, 0, 0), -12): (0, 400)
(8, 0, 0, (0, 0, 0), -11): (0, 681)
(8, 0, 0, (0, 0, 0), -10): (1, 1161)
(8, 0, 0, (0, 0, 0), -9): (2, 1750)
(8, 0, 0, (0, 0, 0), -8): (4, 2716)
(8, 0, 0, (0, 0, 0), -7): (6, 3921)
(8, 0, 0, (0, 0, 0), -6): (32, 5767)
(8, 0, 0, (0, 0, 0), -5): (90, 8267)
(8, 0, 0, (0, 0, 0), -4): (297, 11361)
(8, 0, 0, (0, 0, 0), -3): (741, 14438)
(8, 0, 0, (0, 0, 0), -2): (1923, 17969)
(8, 0, 0, (0, 0, 0), -1): (4698, 21115)
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(8, 0, 0, (0, 0, 0), 2): (14597, 16736)
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(8, 0, 0, (0, 0, 0), 4): (9141, 9429)
(8, 0, 0, (0, 0, 0), 5): (6518, 6635)
(8, 0, 0, (0, 0, 0), 6): (4456, 4489)
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(8, 0, 0, (0, 0, 0), 8): (1918, 1920)
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(8, 0, 0, (0, 0, 0), 10): (738, 738)
(8, 0, 0, (0, 0, 0), 11): (484, 485)
(8, 0, 0, (0, 0, 0), 12): (280, 280)
(8, 0, 0, (0, 0, 0), 13): (167, 167)
(8, 0, 0, (0, 0, 0), 14): (113, 113)
(8, 0, 0, (0, 0, 0), 15): (60, 60)
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(8, 0, 0, (0, 0, 1), -9): (0, 11)
(8, 0, 0, (0, 0, 1), -8): (0, 29)
(8, 0, 0, (0, 0, 1), -7): (0, 46)
(8, 0, 0, (0, 0, 1), -6): (0, 53)
(8, 0, 0, (0, 0, 1), -5): (1, 74)
(8, 0, 0, (0, 0, 1), -4): (5, 88)
(8, 0, 0, (0, 0, 1), -3): (16, 149)
(8, 0, 0, (0, 0, 1), -2): (29, 192)
(8, 0, 0, (0, 0, 1), -1): (92, 227)
(8, 0, 0, (0, 0, 1), 0): (186, 269)
(8, 0, 0, (0, 0, 1), 1): (249, 294)
(8, 0, 0, (0, 0, 1), 2): (260, 281)
(8, 0, 0, (0, 0, 1), 3): (245, 254)
(8, 0, 0, (0, 0, 1), 4): (158, 161)
(8, 0, 0, (0, 0, 1), 5): (117, 118)
(8, 0, 0, (0, 0, 1), 6): (83, 84)
(8, 0, 0, (0, 0, 1), 7): (52, 52)
(8, 0, 0, (0, 0, 1), 8): (30, 30)
(8, 0, 0, (0, 0, 1), 9): (24, 24)
(8, 0, 0, (0, 0, 1), 10): (15, 15)
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(8, 0, 0, (0, 1, 0), -13): (0, 22)
(8, 0, 0, (0, 1, 0), -12): (0, 14)
(8, 0, 0, (0, 1, 0), -11): (0, 34)
(8, 0, 0, (0, 1, 0), -10): (0, 62)
(8, 0, 0, (0, 1, 0), -9): (0, 98)
(8, 0, 0, (0, 1, 0), -8): (0, 173)
(8, 0, 0, (0, 1, 0), -7): (0, 238)
(8, 0, 0, (0, 1, 0), -6): (1, 354)
(8, 0, 0, (0, 1, 0), -5): (14, 501)
(8, 0, 0, (0, 1, 0), -4): (31, 627)
(8, 0, 0, (0, 1, 0), -3): (82, 804)
(8, 0, 0, (0, 1, 0), -2): (202, 1022)
(8, 0, 0, (0, 1, 0), -1): (439, 1228)
(8, 0, 0, (0, 1, 0), 0): (841, 1386)
(8, 0, 0, (0, 1, 0), 1): (1179, 1416)
(8, 0, 0, (0, 1, 0), 2): (1133, 1246)
(8, 0, 0, (0, 1, 0), 3): (965, 1017)
(8, 0, 0, (0, 1, 0), 4): (723, 745)
(8, 0, 0, (0, 1, 0), 5): (516, 521)
(8, 0, 0, (0, 1, 0), 6): (335, 336)
(8, 0, 0, (0, 1, 0), 7): (219, 220)
(8, 0, 0, (0, 1, 0), 8): (152, 152)
(8, 0, 0, (0, 1, 0), 9): (113, 113)
(8, 0, 0, (0, 1, 0), 10): (67, 67)
(8, 0, 0, (0, 1, 0), 11): (41, 41)
(8, 0, 0, (0, 1, 0), 12): (25, 25)
(8, 0, 0, (0, 1, 0), 13): (12, 12)
(8, 0, 0, (0, 1, 0), 14): (4, 4)
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(8, 0, 2, (1, 0, 0), -12): (0, 125)
(8, 0, 2, (1, 0, 0), -11): (0, 192)
(8, 0, 2, (1, 0, 0), -10): (0, 349)
(8, 0, 2, (1, 0, 0), -9): (0, 524)
(8, 0, 2, (1, 0, 0), -8): (1, 800)
(8, 0, 2, (1, 0, 0), -7): (1, 1128)
(8, 0, 2, (1, 0, 0), -6): (7, 1691)
(8, 0, 2, (1, 0, 0), -5): (11, 2428)
(8, 0, 2, (1, 0, 0), -4): (53, 3481)
(8, 0, 2, (1, 0, 0), -3): (125, 4421)
(8, 0, 2, (1, 0, 0), -2): (401, 5416)
(8, 0, 2, (1, 0, 0), -1): (1058, 6383)
(8, 0, 2, (1, 0, 0), 0): (2596, 6287)
(8, 0, 2, (1, 0, 0), 1): (4245, 5783)
(8, 0, 2, (1, 0, 0), 2): (4257, 4993)
(8, 0, 2, (1, 0, 0), 3): (3725, 4017)
(8, 0, 2, (1, 0, 0), 4): (3074, 3193)
(8, 0, 2, (1, 0, 0), 5): (2315, 2358)
(8, 0, 2, (1, 0, 0), 6): (1733, 1747)
(8, 0, 2, (1, 0, 0), 7): (1212, 1215)
(8, 0, 2, (1, 0, 0), 8): (831, 831)
(8, 0, 2, (1, 0, 0), 9): (548, 549)
(8, 0, 2, (1, 0, 0), 10): (327, 327)
(8, 0, 2, (1, 0, 0), 11): (218, 218)
(8, 0, 2, (1, 0, 0), 12): (132, 132)
(8, 0, 2, (1, 0, 0), 13): (74, 74)
(8, 0, 2, (1, 0, 0), 14): (61, 61)
(8, 0, 2, (1, 0, 0), 15): (36, 36)
(8, 0, 2, (1, 0, 0), 16): (15, 15)
(8, 0, 2, (1, 0, 0), 17): (7, 7)
(8, 0, 2, (1, 0, 0), 18): (7, 7)
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(8, 0, 2, (1, 0, 1), -12): (0, 17)
(8, 0, 2, (1, 0, 1), -11): (0, 31)
(8, 0, 2, (1, 0, 1), -10): (0, 57)
(8, 0, 2, (1, 0, 1), -9): (0, 78)
(8, 0, 2, (1, 0, 1), -8): (0, 104)
(8, 0, 2, (1, 0, 1), -7): (0, 174)
(8, 0, 2, (1, 0, 1), -6): (0, 269)
(8, 0, 2, (1, 0, 1), -5): (4, 409)
(8, 0, 2, (1, 0, 1), -4): (12, 558)
(8, 0, 2, (1, 0, 1), -3): (32, 759)
(8, 0, 2, (1, 0, 1), -2): (107, 936)
(8, 0, 2, (1, 0, 1), -1): (289, 1233)
(8, 0, 2, (1, 0, 1), 0): (759, 1566)
(8, 0, 2, (1, 0, 1), 1): (1098, 1436)
(8, 0, 2, (1, 0, 1), 2): (1102, 1246)
(8, 0, 2, (1, 0, 1), 3): (1005, 1080)
(8, 0, 2, (1, 0, 1), 4): (772, 797)
(8, 0, 2, (1, 0, 1), 5): (601, 617)
(8, 0, 2, (1, 0, 1), 6): (447, 448)
(8, 0, 2, (1, 0, 1), 7): (330, 330)
(8, 0, 2, (1, 0, 1), 8): (212, 212)
(8, 0, 2, (1, 0, 1), 9): (148, 148)
(8, 0, 2, (1, 0, 1), 10): (94, 94)
(8, 0, 2, (1, 0, 1), 11): (50, 50)
(8, 0, 2, (1, 0, 1), 12): (36, 36)
(8, 0, 2, (1, 0, 1), 13): (31, 31)
(8, 0, 2, (1, 0, 1), 14): (14, 14)
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(8, 0, 2, (1, 1, 0), -13): (0, 31)
(8, 0, 2, (1, 1, 0), -12): (0, 49)
(8, 0, 2, (1, 1, 0), -11): (0, 98)
(8, 0, 2, (1, 1, 0), -10): (0, 135)
(8, 0, 2, (1, 1, 0), -9): (0, 214)
(8, 0, 2, (1, 1, 0), -8): (0, 327)
(8, 0, 2, (1, 1, 0), -7): (0, 462)
(8, 0, 2, (1, 1, 0), -6): (3, 722)
(8, 0, 2, (1, 1, 0), -5): (10, 973)
(8, 0, 2, (1, 1, 0), -4): (36, 1342)
(8, 0, 2, (1, 1, 0), -3): (86, 1798)
(8, 0, 2, (1, 1, 0), -2): (231, 2230)
(8, 0, 2, (1, 1, 0), -1): (532, 2558)
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(8, 0, 2, (1, 1, 0), 1): (2238, 2976)
(8, 0, 2, (1, 1, 0), 2): (2341, 2717)
(8, 0, 2, (1, 1, 0), 3): (1956, 2106)
(8, 0, 2, (1, 1, 0), 4): (1581, 1642)
(8, 0, 2, (1, 1, 0), 5): (1181, 1197)
(8, 0, 2, (1, 1, 0), 6): (848, 853)
(8, 0, 2, (1, 1, 0), 7): (646, 646)
(8, 0, 2, (1, 1, 0), 8): (434, 435)
(8, 0, 2, (1, 1, 0), 9): (257, 257)
(8, 0, 2, (1, 1, 0), 10): (168, 168)
(8, 0, 2, (1, 1, 0), 11): (122, 122)
(8, 0, 2, (1, 1, 0), 12): (71, 71)
(8, 0, 2, (1, 1, 0), 13): (41, 41)
(8, 0, 2, (1, 1, 0), 14): (31, 31)
(8, 0, 2, (1, 1, 0), 15): (33, 33)
(8, 0, 2, (1, 1, 0), 16): (14, 14)
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(8, 0, 2, (1, 1, 1), -9): (0, 55)
(8, 0, 2, (1, 1, 1), -8): (0, 72)
(8, 0, 2, (1, 1, 1), -7): (0, 132)
(8, 0, 2, (1, 1, 1), -6): (1, 181)
(8, 0, 2, (1, 1, 1), -5): (4, 255)
(8, 0, 2, (1, 1, 1), -4): (13, 337)
(8, 0, 2, (1, 1, 1), -3): (44, 473)
(8, 0, 2, (1, 1, 1), -2): (96, 627)
(8, 0, 2, (1, 1, 1), -1): (242, 886)
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(8, 0, 2, (1, 1, 1), 3): (770, 819)
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(8, 1, 0, (0, 0, 0), -12): (0, 409)
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(8, 1, 0, (0, 0, 0), -10): (0, 1032)
(8, 1, 0, (0, 0, 0), -9): (1, 1604)
(8, 1, 0, (0, 0, 0), -8): (6, 2483)
(8, 1, 0, (0, 0, 0), -7): (19, 3906)
(8, 1, 0, (0, 0, 0), -6): (45, 5535)
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(8, 1, 0, (0, 0, 1), -7): (0, 41)
(8, 1, 0, (0, 0, 1), -6): (2, 63)
(8, 1, 0, (0, 0, 1), -5): (4, 75)
(8, 1, 0, (0, 0, 1), -4): (7, 124)
(8, 1, 0, (0, 0, 1), -3): (20, 135)
(8, 1, 0, (0, 0, 1), -2): (48, 189)
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(8, 1, 0, (0, 0, 1), 2): (306, 318)
(8, 1, 0, (0, 0, 1), 3): (248, 250)
(8, 1, 0, (0, 0, 1), 4): (202, 203)
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(8, 1, 0, (0, 0, 1), 6): (80, 80)
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(8, 1, 0, (0, 1, 0), -10): (0, 70)
(8, 1, 0, (0, 1, 0), -9): (0, 82)
(8, 1, 0, (0, 1, 0), -8): (0, 139)
(8, 1, 0, (0, 1, 0), -7): (3, 249)
(8, 1, 0, (0, 1, 0), -6): (4, 319)
(8, 1, 0, (0, 1, 0), -5): (19, 472)
(8, 1, 0, (0, 1, 0), -4): (48, 629)
(8, 1, 0, (0, 1, 0), -3): (108, 802)
(8, 1, 0, (0, 1, 0), -2): (287, 1021)
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(8, 1, 0, (0, 1, 0), 3): (1125, 1134)
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(8, 1, 0, (0, 1, 0), 5): (651, 652)
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(8, 1, 0, (0, 1, 0), 8): (181, 181)
(8, 1, 0, (0, 1, 0), 9): (109, 109)
(8, 1, 0, (0, 1, 0), 10): (96, 96)
(8, 1, 0, (0, 1, 0), 11): (64, 64)
(8, 1, 0, (0, 1, 0), 12): (44, 44)
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(8, 1, 0, (0, 1, 1), -9): (0, 23)
(8, 1, 0, (0, 1, 1), -8): (2, 27)
(8, 1, 0, (0, 1, 1), -7): (3, 49)
(8, 1, 0, (0, 1, 1), -6): (5, 84)
(8, 1, 0, (0, 1, 1), -5): (6, 92)
(8, 1, 0, (0, 1, 1), -4): (23, 117)
(8, 1, 0, (0, 1, 1), -3): (51, 202)
(8, 1, 0, (0, 1, 1), -2): (121, 252)
(8, 1, 0, (0, 1, 1), -1): (150, 219)
(8, 1, 0, (0, 1, 1), 0): (193, 220)
(8, 1, 0, (0, 1, 1), 1): (242, 251)
(8, 1, 0, (0, 1, 1), 2): (267, 275)
(8, 1, 0, (0, 1, 1), 3): (220, 221)
(8, 1, 0, (0, 1, 1), 4): (197, 197)
(8, 1, 0, (0, 1, 1), 5): (135, 136)
(8, 1, 0, (0, 1, 1), 6): (86, 86)
(8, 1, 0, (0, 1, 1), 7): (81, 81)
(8, 1, 0, (0, 1, 1), 8): (53, 53)
(8, 1, 0, (0, 1, 1), 9): (45, 45)
(8, 1, 0, (0, 1, 1), 10): (35, 35)
(8, 1, 0, (0, 1, 1), 11): (23, 23)
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(8, 1, 0, (1, 0, 0), -16): (0, 19)
(8, 1, 0, (1, 0, 0), -15): (0, 31)
(8, 1, 0, (1, 0, 0), -14): (0, 51)
(8, 1, 0, (1, 0, 0), -13): (0, 81)
(8, 1, 0, (1, 0, 0), -12): (0, 124)
(8, 1, 0, (1, 0, 0), -11): (1, 178)
(8, 1, 0, (1, 0, 0), -10): (0, 283)
(8, 1, 0, (1, 0, 0), -9): (0, 432)
(8, 1, 0, (1, 0, 0), -8): (5, 650)
(8, 1, 0, (1, 0, 0), -7): (12, 983)
(8, 1, 0, (1, 0, 0), -6): (23, 1429)
(8, 1, 0, (1, 0, 0), -5): (67, 2014)
(8, 1, 0, (1, 0, 0), -4): (205, 2787)
(8, 1, 0, (1, 0, 0), -3): (516, 3709)
(8, 1, 0, (1, 0, 0), -2): (1060, 4587)
(8, 1, 0, (1, 0, 0), -1): (2122, 5371)
(8, 1, 0, (1, 0, 0), 0): (4020, 5700)
(8, 1, 0, (1, 0, 0), 1): (4762, 5242)
(8, 1, 0, (1, 0, 0), 2): (4353, 4547)
(8, 1, 0, (1, 0, 0), 3): (3575, 3635)
(8, 1, 0, (1, 0, 0), 4): (2728, 2746)
(8, 1, 0, (1, 0, 0), 5): (2013, 2020)
(8, 1, 0, (1, 0, 0), 6): (1400, 1406)
(8, 1, 0, (1, 0, 0), 7): (996, 996)
(8, 1, 0, (1, 0, 0), 8): (691, 691)
(8, 1, 0, (1, 0, 0), 9): (424, 424)
(8, 1, 0, (1, 0, 0), 10): (286, 286)
(8, 1, 0, (1, 0, 0), 11): (175, 175)
(8, 1, 0, (1, 0, 0), 12): (109, 109)
(8, 1, 0, (1, 0, 0), 13): (63, 63)
(8, 1, 0, (1, 0, 0), 14): (39, 39)
(8, 1, 0, (1, 0, 0), 15): (25, 25)
(8, 1, 0, (1, 0, 0), 16): (14, 14)
(8, 1, 0, (1, 0, 0), 17): (9, 9)
(8, 1, 0, (1, 0, 0), 18): (3, 3)
(8, 1, 0, (1, 0, 0), 19): (2, 2)
(8, 1, 0, (1, 0, 0), 20): (3, 3)
(8, 1, 0, (1, 0, 0), 21): (1, 1)
(8, 1, 0, (1, 0, 0), 23): (2, 2)
(8, 1, 0, (1, 0, 1), -18): (0, 1)
(8, 1, 0, (1, 0, 1), -17): (0, 1)
(8, 1, 0, (1, 0, 1), -16): (0, 1)
(8, 1, 0, (1, 0, 1), -15): (0, 4)
(8, 1, 0, (1, 0, 1), -14): (0, 2)
(8, 1, 0, (1, 0, 1), -13): (0, 7)
(8, 1, 0, (1, 0, 1), -12): (0, 7)
(8, 1, 0, (1, 0, 1), -11): (0, 15)
(8, 1, 0, (1, 0, 1), -10): (0, 17)
(8, 1, 0, (1, 0, 1), -9): (0, 34)
(8, 1, 0, (1, 0, 1), -8): (0, 40)
(8, 1, 0, (1, 0, 1), -7): (1, 86)
(8, 1, 0, (1, 0, 1), -6): (2, 93)
(8, 1, 0, (1, 0, 1), -5): (7, 140)
(8, 1, 0, (1, 0, 1), -4): (28, 220)
(8, 1, 0, (1, 0, 1), -3): (70, 293)
(8, 1, 0, (1, 0, 1), -2): (148, 382)
(8, 1, 0, (1, 0, 1), -1): (276, 419)
(8, 1, 0, (1, 0, 1), 0): (402, 470)
(8, 1, 0, (1, 0, 1), 1): (436, 461)
(8, 1, 0, (1, 0, 1), 2): (403, 411)
(8, 1, 0, (1, 0, 1), 3): (338, 343)
(8, 1, 0, (1, 0, 1), 4): (300, 301)
(8, 1, 0, (1, 0, 1), 5): (221, 221)
(8, 1, 0, (1, 0, 1), 6): (129, 130)
(8, 1, 0, (1, 0, 1), 7): (99, 99)
(8, 1, 0, (1, 0, 1), 8): (87, 87)
(8, 1, 0, (1, 0, 1), 9): (44, 44)
(8, 1, 0, (1, 0, 1), 10): (34, 34)
(8, 1, 0, (1, 0, 1), 11): (29, 29)
(8, 1, 0, (1, 0, 1), 12): (9, 9)
(8, 1, 0, (1, 0, 1), 13): (4, 4)
(8, 1, 0, (1, 0, 1), 14): (1, 1)
(8, 1, 0, (1, 0, 1), 15): (4, 4)
(8, 1, 0, (1, 0, 1), 16): (1, 1)
(8, 1, 0, (1, 0, 1), 17): (1, 1)
(8, 1, 0, (1, 0, 1), 19): (1, 1)
(8, 1, 0, (1, 0, 1), 20): (1, 1)
(8, 1, 0, (1, 1, 0), -24): (0, 1)
(8, 1, 0, (1, 1, 0), -22): (0, 1)
(8, 1, 0, (1, 1, 0), -19): (0, 1)
(8, 1, 0, (1, 1, 0), -18): (0, 1)
(8, 1, 0, (1, 1, 0), -16): (0, 5)
(8, 1, 0, (1, 1, 0), -15): (0, 8)
(8, 1, 0, (1, 1, 0), -14): (0, 16)
(8, 1, 0, (1, 1, 0), -13): (0, 23)
(8, 1, 0, (1, 1, 0), -12): (0, 27)
(8, 1, 0, (1, 1, 0), -11): (0, 49)
(8, 1, 0, (1, 1, 0), -10): (0, 76)
(8, 1, 0, (1, 1, 0), -9): (0, 118)
(8, 1, 0, (1, 1, 0), -8): (1, 170)
(8, 1, 0, (1, 1, 0), -7): (5, 268)
(8, 1, 0, (1, 1, 0), -6): (12, 383)
(8, 1, 0, (1, 1, 0), -5): (38, 525)
(8, 1, 0, (1, 1, 0), -4): (90, 725)
(8, 1, 0, (1, 1, 0), -3): (207, 943)
(8, 1, 0, (1, 1, 0), -2): (415, 1156)
(8, 1, 0, (1, 1, 0), -1): (597, 1025)
(8, 1, 0, (1, 1, 0), 0): (875, 1079)
(8, 1, 0, (1, 1, 0), 1): (1004, 1088)
(8, 1, 0, (1, 1, 0), 2): (889, 927)
(8, 1, 0, (1, 1, 0), 3): (766, 779)
(8, 1, 0, (1, 1, 0), 4): (665, 668)
(8, 1, 0, (1, 1, 0), 5): (503, 503)
(8, 1, 0, (1, 1, 0), 6): (381, 383)
(8, 1, 0, (1, 1, 0), 7): (258, 258)
(8, 1, 0, (1, 1, 0), 8): (221, 221)
(8, 1, 0, (1, 1, 0), 9): (148, 148)
(8, 1, 0, (1, 1, 0), 10): (81, 81)
(8, 1, 0, (1, 1, 0), 11): (46, 46)
(8, 1, 0, (1, 1, 0), 12): (37, 37)
(8, 1, 0, (1, 1, 0), 13): (23, 23)
(8, 1, 0, (1, 1, 0), 14): (14, 14)
(8, 1, 0, (1, 1, 0), 15): (8, 8)
(8, 1, 0, (1, 1, 0), 16): (8, 8)
(8, 1, 0, (1, 1, 0), 17): (3, 3)
(8, 1, 0, (1, 1, 0), 19): (2, 2)
(8, 1, 0, (1, 1, 0), 21): (1, 1)
(8, 1, 0, (1, 1, 1), -22): (0, 1)
(8, 1, 0, (1, 1, 1), -14): (0, 3)
(8, 1, 0, (1, 1, 1), -13): (0, 9)
(8, 1, 0, (1, 1, 1), -12): (0, 4)
(8, 1, 0, (1, 1, 1), -11): (0, 8)
(8, 1, 0, (1, 1, 1), -10): (0, 19)
(8, 1, 0, (1, 1, 1), -9): (0, 29)
(8, 1, 0, (1, 1, 1), -8): (1, 36)
(8, 1, 0, (1, 1, 1), -7): (1, 59)
(8, 1, 0, (1, 1, 1), -6): (3, 84)
(8, 1, 0, (1, 1, 1), -5): (14, 120)
(8, 1, 0, (1, 1, 1), -4): (47, 177)
(8, 1, 0, (1, 1, 1), -3): (75, 204)
(8, 1, 0, (1, 1, 1), -2): (132, 263)
(8, 1, 0, (1, 1, 1), -1): (202, 291)
(8, 1, 0, (1, 1, 1), 0): (292, 338)
(8, 1, 0, (1, 1, 1), 1): (336, 348)
(8, 1, 0, (1, 1, 1), 2): (320, 329)
(8, 1, 0, (1, 1, 1), 3): (231, 234)
(8, 1, 0, (1, 1, 1), 4): (203, 205)
(8, 1, 0, (1, 1, 1), 5): (157, 157)
(8, 1, 0, (1, 1, 1), 6): (100, 100)
(8, 1, 0, (1, 1, 1), 7): (76, 76)
(8, 1, 0, (1, 1, 1), 8): (59, 59)
(8, 1, 0, (1, 1, 1), 9): (50, 50)
(8, 1, 0, (1, 1, 1), 10): (23, 23)
(8, 1, 0, (1, 1, 1), 11): (18, 18)
(8, 1, 0, (1, 1, 1), 12): (10, 10)
(8, 1, 0, (1, 1, 1), 13): (7, 7)
(8, 1, 0, (1, 1, 1), 14): (4, 4)
(8, 1, 0, (1, 1, 1), 15): (6, 6)
(8, 1, 0, (1, 1, 1), 16): (6, 6)
(8, 1, 0, (1, 1, 1), 17): (2, 2)
(8, 1, 0, (1, 1, 1), 18): (1, 1)
(8, 1, 0, (1, 1, 1), 19): (1, 1)
(8, 1, 1, (0, 0, 0), -25): (0, 1)
(8, 1, 1, (0, 0, 0), -24): (0, 1)
(8, 1, 1, (0, 0, 0), -23): (0, 2)
(8, 1, 1, (0, 0, 0), -22): (0, 3)
(8, 1, 1, (0, 0, 0), -21): (0, 2)
(8, 1, 1, (0, 0, 0), -20): (0, 2)
(8, 1, 1, (0, 0, 0), -19): (0, 9)
(8, 1, 1, (0, 0, 0), -18): (0, 12)
(8, 1, 1, (0, 0, 0), -17): (0, 21)
(8, 1, 1, (0, 0, 0), -16): (0, 23)
(8, 1, 1, (0, 0, 0), -15): (0, 59)
(8, 1, 1, (0, 0, 0), -14): (0, 117)
(8, 1, 1, (0, 0, 0), -13): (0, 174)
(8, 1, 1, (0, 0, 0), -12): (0, 260)
(8, 1, 1, (0, 0, 0), -11): (0, 479)
(8, 1, 1, (0, 0, 0), -10): (0, 695)
(8, 1, 1, (0, 0, 0), -9): (0, 1102)
(8, 1, 1, (0, 0, 0), -8): (1, 1686)
(8, 1, 1, (0, 0, 0), -7): (4, 2681)
(8, 1, 1, (0, 0, 0), -6): (19, 3835)
(8, 1, 1, (0, 0, 0), -5): (63, 5374)
(8, 1, 1, (0, 0, 0), -4): (163, 7454)
(8, 1, 1, (0, 0, 0), -3): (460, 9701)
(8, 1, 1, (0, 0, 0), -2): (1313, 11979)
(8, 1, 1, (0, 0, 0), -1): (3189, 13979)
(8, 1, 1, (0, 0, 0), 0): (8406, 14311)
(8, 1, 1, (0, 0, 0), 1): (12407, 14082)
(8, 1, 1, (0, 0, 0), 2): (11386, 11936)
(8, 1, 1, (0, 0, 0), 3): (9395, 9549)
(8, 1, 1, (0, 0, 0), 4): (7484, 7546)
(8, 1, 1, (0, 0, 0), 5): (5380, 5395)
(8, 1, 1, (0, 0, 0), 6): (3851, 3858)
(8, 1, 1, (0, 0, 0), 7): (2577, 2577)
(8, 1, 1, (0, 0, 0), 8): (1803, 1804)
(8, 1, 1, (0, 0, 0), 9): (1177, 1177)
(8, 1, 1, (0, 0, 0), 10): (797, 797)
(8, 1, 1, (0, 0, 0), 11): (464, 464)
(8, 1, 1, (0, 0, 0), 12): (297, 297)
(8, 1, 1, (0, 0, 0), 13): (173, 173)
(8, 1, 1, (0, 0, 0), 14): (123, 123)
(8, 1, 1, (0, 0, 0), 15): (64, 64)
(8, 1, 1, (0, 0, 0), 16): (42, 42)
(8, 1, 1, (0, 0, 0), 17): (16, 16)
(8, 1, 1, (0, 0, 0), 18): (14, 14)
(8, 1, 1, (0, 0, 0), 19): (8, 8)
(8, 1, 1, (0, 0, 0), 20): (4, 4)
(8, 1, 1, (0, 0, 0), 21): (3, 3)
(8, 1, 1, (0, 0, 0), 22): (1, 1)
(8, 1, 1, (0, 0, 0), 23): (1, 1)
(8, 1, 1, (0, 0, 0), 25): (1, 1)
(8, 1, 1, (0, 0, 0), 26): (1, 1)
(8, 1, 1, (0, 0, 1), -20): (0, 1)
(8, 1, 1, (0, 0, 1), -19): (0, 1)
(8, 1, 1, (0, 0, 1), -16): (0, 1)
(8, 1, 1, (0, 0, 1), -14): (0, 10)
(8, 1, 1, (0, 0, 1), -13): (0, 6)
(8, 1, 1, (0, 0, 1), -12): (0, 9)
(8, 1, 1, (0, 0, 1), -11): (0, 19)
(8, 1, 1, (0, 0, 1), -10): (0, 30)
(8, 1, 1, (0, 0, 1), -9): (1, 34)
(8, 1, 1, (0, 0, 1), -8): (0, 70)
(8, 1, 1, (0, 0, 1), -7): (0, 80)
(8, 1, 1, (0, 0, 1), -6): (0, 179)
(8, 1, 1, (0, 0, 1), -5): (2, 216)
(8, 1, 1, (0, 0, 1), -4): (16, 304)
(8, 1, 1, (0, 0, 1), -3): (31, 348)
(8, 1, 1, (0, 0, 1), -2): (114, 530)
(8, 1, 1, (0, 0, 1), -1): (413, 895)
(8, 1, 1, (0, 0, 1), 0): (792, 1039)
(8, 1, 1, (0, 0, 1), 1): (995, 1081)
(8, 1, 1, (0, 0, 1), 2): (996, 1037)
(8, 1, 1, (0, 0, 1), 3): (864, 875)
(8, 1, 1, (0, 0, 1), 4): (661, 664)
(8, 1, 1, (0, 0, 1), 5): (444, 445)
(8, 1, 1, (0, 0, 1), 6): (283, 283)
(8, 1, 1, (0, 0, 1), 7): (191, 191)
(8, 1, 1, (0, 0, 1), 8): (133, 133)
(8, 1, 1, (0, 0, 1), 9): (84, 84)
(8, 1, 1, (0, 0, 1), 10): (50, 50)
(8, 1, 1, (0, 0, 1), 11): (44, 44)
(8, 1, 1, (0, 0, 1), 12): (28, 28)
(8, 1, 1, (0, 0, 1), 13): (12, 12)
(8, 1, 1, (0, 0, 1), 14): (8, 8)
(8, 1, 1, (0, 0, 1), 15): (3, 3)
(8, 1, 1, (0, 0, 1), 16): (6, 6)
(8, 1, 1, (0, 0, 1), 17): (1, 1)
(8, 1, 1, (0, 0, 1), 18): (6, 6)
(8, 1, 1, (0, 0, 1), 19): (1, 1)
(8, 1, 1, (0, 1, 0), -19): (0, 1)
(8, 1, 1, (0, 1, 0), -18): (0, 2)
(8, 1, 1, (0, 1, 0), -17): (0, 1)
(8, 1, 1, (0, 1, 0), -16): (0, 6)
(8, 1, 1, (0, 1, 0), -15): (0, 11)
(8, 1, 1, (0, 1, 0), -14): (0, 17)
(8, 1, 1, (0, 1, 0), -13): (0, 33)
(8, 1, 1, (0, 1, 0), -12): (0, 35)
(8, 1, 1, (0, 1, 0), -11): (0, 74)
(8, 1, 1, (0, 1, 0), -10): (0, 106)
(8, 1, 1, (0, 1, 0), -9): (0, 158)
(8, 1, 1, (0, 1, 0), -8): (0, 244)
(8, 1, 1, (0, 1, 0), -7): (1, 368)
(8, 1, 1, (0, 1, 0), -6): (2, 490)
(8, 1, 1, (0, 1, 0), -5): (23, 755)
(8, 1, 1, (0, 1, 0), -4): (40, 1055)
(8, 1, 1, (0, 1, 0), -3): (117, 1319)
(8, 1, 1, (0, 1, 0), -2): (266, 1546)
(8, 1, 1, (0, 1, 0), -1): (1099, 3085)
(8, 1, 1, (0, 1, 0), 0): (2721, 3892)
(8, 1, 1, (0, 1, 0), 1): (3186, 3533)
(8, 1, 1, (0, 1, 0), 2): (2884, 3011)
(8, 1, 1, (0, 1, 0), 3): (2359, 2392)
(8, 1, 1, (0, 1, 0), 4): (1776, 1786)
(8, 1, 1, (0, 1, 0), 5): (1173, 1177)
(8, 1, 1, (0, 1, 0), 6): (802, 802)
(8, 1, 1, (0, 1, 0), 7): (543, 543)
(8, 1, 1, (0, 1, 0), 8): (331, 331)
(8, 1, 1, (0, 1, 0), 9): (244, 244)
(8, 1, 1, (0, 1, 0), 10): (166, 166)
(8, 1, 1, (0, 1, 0), 11): (117, 117)
(8, 1, 1, (0, 1, 0), 12): (76, 76)
(8, 1, 1, (0, 1, 0), 13): (33, 33)
(8, 1, 1, (0, 1, 0), 14): (24, 24)
(8, 1, 1, (0, 1, 0), 15): (10, 10)
(8, 1, 1, (0, 1, 0), 16): (12, 12)
(8, 1, 1, (0, 1, 0), 17): (5, 5)
(8, 1, 1, (0, 1, 0), 18): (2, 2)
(8, 1, 1, (0, 1, 0), 19): (1, 1)
(8, 1, 1, (0, 1, 0), 20): (1, 1)
(8, 1, 1, (0, 1, 1), -20): (0, 1)
(8, 1, 1, (0, 1, 1), -16): (0, 2)
(8, 1, 1, (0, 1, 1), -15): (0, 2)
(8, 1, 1, (0, 1, 1), -14): (0, 7)
(8, 1, 1, (0, 1, 1), -13): (0, 4)
(8, 1, 1, (0, 1, 1), -12): (0, 14)
(8, 1, 1, (0, 1, 1), -11): (0, 18)
(8, 1, 1, (0, 1, 1), -10): (0, 33)
(8, 1, 1, (0, 1, 1), -9): (0, 35)
(8, 1, 1, (0, 1, 1), -8): (0, 65)
(8, 1, 1, (0, 1, 1), -7): (1, 109)
(8, 1, 1, (0, 1, 1), -6): (0, 130)
(8, 1, 1, (0, 1, 1), -5): (12, 199)
(8, 1, 1, (0, 1, 1), -4): (21, 226)
(8, 1, 1, (0, 1, 1), -3): (66, 394)
(8, 1, 1, (0, 1, 1), -2): (246, 738)
(8, 1, 1, (0, 1, 1), -1): (387, 676)
(8, 1, 1, (0, 1, 1), 0): (689, 863)
(8, 1, 1, (0, 1, 1), 1): (801, 854)
(8, 1, 1, (0, 1, 1), 2): (820, 853)
(8, 1, 1, (0, 1, 1), 3): (683, 694)
(8, 1, 1, (0, 1, 1), 4): (557, 561)
(8, 1, 1, (0, 1, 1), 5): (388, 389)
(8, 1, 1, (0, 1, 1), 6): (287, 288)
(8, 1, 1, (0, 1, 1), 7): (226, 226)
(8, 1, 1, (0, 1, 1), 8): (141, 141)
(8, 1, 1, (0, 1, 1), 9): (98, 98)
(8, 1, 1, (0, 1, 1), 10): (45, 45)
(8, 1, 1, (0, 1, 1), 11): (40, 40)
(8, 1, 1, (0, 1, 1), 12): (28, 28)
(8, 1, 1, (0, 1, 1), 13): (13, 13)
(8, 1, 1, (0, 1, 1), 14): (10, 10)
(8, 1, 1, (0, 1, 1), 15): (7, 7)
(8, 1, 1, (0, 1, 1), 16): (1, 1)
(8, 1, 1, (0, 1, 1), 17): (2, 2)
(8, 1, 1, (0, 1, 1), 21): (1, 1)
(8, 1, 1, (1, 0, 0), -23): (0, 1)
(8, 1, 1, (1, 0, 0), -22): (0, 1)
(8, 1, 1, (1, 0, 0), -21): (0, 2)
(8, 1, 1, (1, 0, 0), -20): (0, 3)
(8, 1, 1, (1, 0, 0), -19): (0, 5)
(8, 1, 1, (1, 0, 0), -18): (0, 4)
(8, 1, 1, (1, 0, 0), -17): (0, 9)
(8, 1, 1, (1, 0, 0), -16): (0, 19)
(8, 1, 1, (1, 0, 0), -15): (0, 34)
(8, 1, 1, (1, 0, 0), -14): (0, 43)
(8, 1, 1, (1, 0, 0), -13): (0, 77)
(8, 1, 1, (1, 0, 0), -12): (0, 146)
(8, 1, 1, (1, 0, 0), -11): (1, 200)
(8, 1, 1, (1, 0, 0), -10): (0, 314)
(8, 1, 1, (1, 0, 0), -9): (0, 475)
(8, 1, 1, (1, 0, 0), -8): (2, 768)
(8, 1, 1, (1, 0, 0), -7): (3, 1179)
(8, 1, 1, (1, 0, 0), -6): (13, 1686)
(8, 1, 1, (1, 0, 0), -5): (42, 2412)
(8, 1, 1, (1, 0, 0), -4): (127, 3310)
(8, 1, 1, (1, 0, 0), -3): (365, 4327)
(8, 1, 1, (1, 0, 0), -2): (850, 5419)
(8, 1, 1, (1, 0, 0), -1): (1773, 5902)
(8, 1, 1, (1, 0, 0), 0): (3786, 5983)
(8, 1, 1, (1, 0, 0), 1): (5025, 5589)
(8, 1, 1, (1, 0, 0), 2): (4806, 5030)
(8, 1, 1, (1, 0, 0), 3): (4108, 4180)
(8, 1, 1, (1, 0, 0), 4): (3301, 3319)
(8, 1, 1, (1, 0, 0), 5): (2516, 2522)
(8, 1, 1, (1, 0, 0), 6): (1806, 1808)
(8, 1, 1, (1, 0, 0), 7): (1365, 1365)
(8, 1, 1, (1, 0, 0), 8): (954, 955)
(8, 1, 1, (1, 0, 0), 9): (551, 551)
(8, 1, 1, (1, 0, 0), 10): (391, 391)
(8, 1, 1, (1, 0, 0), 11): (234, 234)
(8, 1, 1, (1, 0, 0), 12): (164, 164)
(8, 1, 1, (1, 0, 0), 13): (80, 80)
(8, 1, 1, (1, 0, 0), 14): (58, 58)
(8, 1, 1, (1, 0, 0), 15): (33, 33)
(8, 1, 1, (1, 0, 0), 16): (15, 15)
(8, 1, 1, (1, 0, 0), 17): (11, 11)
(8, 1, 1, (1, 0, 0), 18): (6, 6)
(8, 1, 1, (1, 0, 0), 19): (4, 4)
(8, 1, 1, (1, 0, 0), 20): (4, 4)
(8, 1, 1, (1, 0, 0), 21): (1, 1)
(8, 1, 1, (1, 0, 0), 23): (2, 2)
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(8, 1, 1, (1, 0, 1), -19): (0, 1)
(8, 1, 1, (1, 0, 1), -16): (0, 1)
(8, 1, 1, (1, 0, 1), -15): (0, 5)
(8, 1, 1, (1, 0, 1), -14): (0, 7)
(8, 1, 1, (1, 0, 1), -13): (0, 11)
(8, 1, 1, (1, 0, 1), -12): (0, 12)
(8, 1, 1, (1, 0, 1), -11): (0, 29)
(8, 1, 1, (1, 0, 1), -10): (0, 29)
(8, 1, 1, (1, 0, 1), -9): (0, 62)
(8, 1, 1, (1, 0, 1), -8): (1, 114)
(8, 1, 1, (1, 0, 1), -7): (2, 163)
(8, 1, 1, (1, 0, 1), -6): (4, 213)
(8, 1, 1, (1, 0, 1), -5): (8, 335)
(8, 1, 1, (1, 0, 1), -4): (34, 473)
(8, 1, 1, (1, 0, 1), -3): (79, 574)
(8, 1, 1, (1, 0, 1), -2): (208, 740)
(8, 1, 1, (1, 0, 1), -1): (463, 975)
(8, 1, 1, (1, 0, 1), 0): (945, 1213)
(8, 1, 1, (1, 0, 1), 1): (1083, 1160)
(8, 1, 1, (1, 0, 1), 2): (966, 994)
(8, 1, 1, (1, 0, 1), 3): (838, 852)
(8, 1, 1, (1, 0, 1), 4): (664, 671)
(8, 1, 1, (1, 0, 1), 5): (532, 533)
(8, 1, 1, (1, 0, 1), 6): (336, 338)
(8, 1, 1, (1, 0, 1), 7): (215, 215)
(8, 1, 1, (1, 0, 1), 8): (164, 164)
(8, 1, 1, (1, 0, 1), 9): (122, 122)
(8, 1, 1, (1, 0, 1), 10): (88, 88)
(8, 1, 1, (1, 0, 1), 11): (56, 56)
(8, 1, 1, (1, 0, 1), 12): (26, 26)
(8, 1, 1, (1, 0, 1), 13): (20, 20)
(8, 1, 1, (1, 0, 1), 14): (13, 13)
(8, 1, 1, (1, 0, 1), 15): (4, 4)
(8, 1, 1, (1, 0, 1), 16): (5, 5)
(8, 1, 1, (1, 0, 1), 17): (4, 4)
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(8, 1, 1, (1, 1, 0), -15): (0, 16)
(8, 1, 1, (1, 1, 0), -14): (0, 15)
(8, 1, 1, (1, 1, 0), -13): (0, 30)
(8, 1, 1, (1, 1, 0), -12): (0, 45)
(8, 1, 1, (1, 1, 0), -11): (1, 66)
(8, 1, 1, (1, 1, 0), -10): (0, 120)
(8, 1, 1, (1, 1, 0), -9): (0, 181)
(8, 1, 1, (1, 1, 0), -8): (1, 265)
(8, 1, 1, (1, 1, 0), -7): (1, 430)
(8, 1, 1, (1, 1, 0), -6): (10, 589)
(8, 1, 1, (1, 1, 0), -5): (24, 834)
(8, 1, 1, (1, 1, 0), -4): (78, 1207)
(8, 1, 1, (1, 1, 0), -3): (198, 1484)
(8, 1, 1, (1, 1, 0), -2): (419, 1797)
(8, 1, 1, (1, 1, 0), -1): (814, 2034)
(8, 1, 1, (1, 1, 0), 0): (1992, 2768)
(8, 1, 1, (1, 1, 0), 1): (2162, 2388)
(8, 1, 1, (1, 1, 0), 2): (1966, 2057)
(8, 1, 1, (1, 1, 0), 3): (1591, 1618)
(8, 1, 1, (1, 1, 0), 4): (1261, 1264)
(8, 1, 1, (1, 1, 0), 5): (968, 970)
(8, 1, 1, (1, 1, 0), 6): (761, 762)
(8, 1, 1, (1, 1, 0), 7): (588, 588)
(8, 1, 1, (1, 1, 0), 8): (419, 419)
(8, 1, 1, (1, 1, 0), 9): (264, 264)
(8, 1, 1, (1, 1, 0), 10): (187, 187)
(8, 1, 1, (1, 1, 0), 11): (105, 105)
(8, 1, 1, (1, 1, 0), 12): (72, 72)
(8, 1, 1, (1, 1, 0), 13): (38, 38)
(8, 1, 1, (1, 1, 0), 14): (25, 25)
(8, 1, 1, (1, 1, 0), 15): (13, 13)
(8, 1, 1, (1, 1, 0), 16): (11, 11)
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(8, 1, 1, (1, 1, 1), -13): (0, 10)
(8, 1, 1, (1, 1, 1), -12): (0, 5)
(8, 1, 1, (1, 1, 1), -11): (0, 21)
(8, 1, 1, (1, 1, 1), -10): (0, 30)
(8, 1, 1, (1, 1, 1), -9): (0, 45)
(8, 1, 1, (1, 1, 1), -8): (1, 68)
(8, 1, 1, (1, 1, 1), -7): (2, 113)
(8, 1, 1, (1, 1, 1), -6): (7, 161)
(8, 1, 1, (1, 1, 1), -5): (19, 248)
(8, 1, 1, (1, 1, 1), -4): (37, 311)
(8, 1, 1, (1, 1, 1), -3): (71, 362)
(8, 1, 1, (1, 1, 1), -2): (195, 534)
(8, 1, 1, (1, 1, 1), -1): (472, 828)
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(8, 1, 1, (1, 1, 1), 1): (1041, 1110)
(8, 1, 1, (1, 1, 1), 2): (930, 960)
(8, 1, 1, (1, 1, 1), 3): (682, 690)
(8, 1, 1, (1, 1, 1), 4): (577, 579)
(8, 1, 1, (1, 1, 1), 5): (435, 435)
(8, 1, 1, (1, 1, 1), 6): (274, 274)
(8, 1, 1, (1, 1, 1), 7): (168, 168)
(8, 1, 1, (1, 1, 1), 8): (142, 142)
(8, 1, 1, (1, 1, 1), 9): (94, 94)
(8, 1, 1, (1, 1, 1), 10): (62, 62)
(8, 1, 1, (1, 1, 1), 11): (32, 32)
(8, 1, 1, (1, 1, 1), 12): (25, 25)
(8, 1, 1, (1, 1, 1), 13): (11, 11)
(8, 1, 1, (1, 1, 1), 14): (8, 8)
(8, 1, 1, (1, 1, 1), 15): (8, 8)
(8, 1, 1, (1, 1, 1), 16): (4, 4)
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(8, 1, 2, (0, 0, 0), -16): (0, 17)
(8, 1, 2, (0, 0, 0), -15): (0, 41)
(8, 1, 2, (0, 0, 0), -14): (0, 89)
(8, 1, 2, (0, 0, 0), -13): (0, 137)
(8, 1, 2, (0, 0, 0), -12): (0, 191)
(8, 1, 2, (0, 0, 0), -11): (0, 350)
(8, 1, 2, (0, 0, 0), -10): (0, 523)
(8, 1, 2, (0, 0, 0), -9): (0, 848)
(8, 1, 2, (0, 0, 0), -8): (0, 1244)
(8, 1, 2, (0, 0, 0), -7): (4, 1967)
(8, 1, 2, (0, 0, 0), -6): (8, 2889)
(8, 1, 2, (0, 0, 0), -5): (24, 4068)
(8, 1, 2, (0, 0, 0), -4): (84, 5607)
(8, 1, 2, (0, 0, 0), -3): (239, 7401)
(8, 1, 2, (0, 0, 0), -2): (751, 9160)
(8, 1, 2, (0, 0, 0), -1): (1897, 10513)
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(8, 1, 2, (0, 0, 0), 6): (3141, 3149)
(8, 1, 2, (0, 0, 0), 7): (2073, 2073)
(8, 1, 2, (0, 0, 0), 8): (1535, 1535)
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(8, 1, 2, (0, 0, 1), -6): (2, 241)
(8, 1, 2, (0, 0, 1), -5): (3, 354)
(8, 1, 2, (0, 0, 1), -4): (6, 484)
(8, 1, 2, (0, 0, 1), -3): (36, 642)
(8, 1, 2, (0, 0, 1), -2): (86, 777)
(8, 1, 2, (0, 0, 1), -1): (377, 1384)
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(8, 1, 2, (0, 1, 0), -12): (0, 51)
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(8, 1, 2, (0, 1, 0), -8): (0, 320)
(8, 1, 2, (0, 1, 0), -7): (0, 448)
(8, 1, 2, (0, 1, 0), -6): (3, 634)
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(8, 1, 2, (0, 1, 0), -4): (30, 1297)
(8, 1, 2, (0, 1, 0), -3): (90, 1728)
(8, 1, 2, (0, 1, 0), -2): (230, 2026)
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(8, 1, 2, (0, 1, 1), -9): (0, 44)
(8, 1, 2, (0, 1, 1), -8): (0, 69)
(8, 1, 2, (0, 1, 1), -7): (0, 122)
(8, 1, 2, (0, 1, 1), -6): (1, 173)
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(8, 1, 2, (0, 1, 1), -3): (35, 461)
(8, 1, 2, (0, 1, 1), -2): (124, 627)
(8, 1, 2, (0, 1, 1), -1): (196, 624)
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(8, 1, 2, (0, 1, 1), 1): (846, 924)
(8, 1, 2, (0, 1, 1), 2): (867, 921)
(8, 1, 2, (0, 1, 1), 3): (766, 773)
(8, 1, 2, (0, 1, 1), 4): (602, 612)
(8, 1, 2, (0, 1, 1), 5): (418, 421)
(8, 1, 2, (0, 1, 1), 6): (303, 305)
(8, 1, 2, (0, 1, 1), 7): (237, 237)
(8, 1, 2, (0, 1, 1), 8): (169, 169)
(8, 1, 2, (0, 1, 1), 9): (115, 115)
(8, 1, 2, (0, 1, 1), 10): (76, 76)
(8, 1, 2, (0, 1, 1), 11): (54, 54)
(8, 1, 2, (0, 1, 1), 12): (35, 35)
(8, 1, 2, (0, 1, 1), 13): (25, 25)
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(8, 1, 2, (1, 0, 0), -11): (0, 202)
(8, 1, 2, (1, 0, 0), -10): (0, 304)
(8, 1, 2, (1, 0, 0), -9): (0, 478)
(8, 1, 2, (1, 0, 0), -8): (0, 720)
(8, 1, 2, (1, 0, 0), -7): (2, 1164)
(8, 1, 2, (1, 0, 0), -6): (7, 1656)
(8, 1, 2, (1, 0, 0), -5): (23, 2338)
(8, 1, 2, (1, 0, 0), -4): (68, 3179)
(8, 1, 2, (1, 0, 0), -3): (197, 4141)
(8, 1, 2, (1, 0, 0), -2): (568, 5332)
(8, 1, 2, (1, 0, 0), -1): (1298, 5821)
(8, 1, 2, (1, 0, 0), 0): (3455, 5978)
(8, 1, 2, (1, 0, 0), 1): (4850, 5518)
(8, 1, 2, (1, 0, 0), 2): (4790, 5054)
(8, 1, 2, (1, 0, 0), 3): (4189, 4265)
(8, 1, 2, (1, 0, 0), 4): (3534, 3561)
(8, 1, 2, (1, 0, 0), 5): (2744, 2753)
(8, 1, 2, (1, 0, 0), 6): (2049, 2052)
(8, 1, 2, (1, 0, 0), 7): (1420, 1420)
(8, 1, 2, (1, 0, 0), 8): (1054, 1056)
(8, 1, 2, (1, 0, 0), 9): (662, 662)
(8, 1, 2, (1, 0, 0), 10): (518, 518)
(8, 1, 2, (1, 0, 0), 11): (299, 299)
(8, 1, 2, (1, 0, 0), 12): (197, 197)
(8, 1, 2, (1, 0, 0), 13): (119, 119)
(8, 1, 2, (1, 0, 0), 14): (68, 68)
(8, 1, 2, (1, 0, 0), 15): (42, 42)
(8, 1, 2, (1, 0, 0), 16): (21, 21)
(8, 1, 2, (1, 0, 0), 17): (11, 11)
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(8, 1, 2, (1, 0, 0), 19): (6, 6)
(8, 1, 2, (1, 0, 0), 20): (6, 6)
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(8, 1, 2, (1, 0, 0), 26): (1, 1)
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(8, 1, 2, (1, 0, 1), -17): (0, 1)
(8, 1, 2, (1, 0, 1), -16): (0, 1)
(8, 1, 2, (1, 0, 1), -15): (0, 8)
(8, 1, 2, (1, 0, 1), -14): (0, 13)
(8, 1, 2, (1, 0, 1), -13): (0, 19)
(8, 1, 2, (1, 0, 1), -12): (0, 24)
(8, 1, 2, (1, 0, 1), -11): (0, 28)
(8, 1, 2, (1, 0, 1), -10): (0, 54)
(8, 1, 2, (1, 0, 1), -9): (0, 73)
(8, 1, 2, (1, 0, 1), -8): (0, 114)
(8, 1, 2, (1, 0, 1), -7): (0, 181)
(8, 1, 2, (1, 0, 1), -6): (1, 290)
(8, 1, 2, (1, 0, 1), -5): (8, 421)
(8, 1, 2, (1, 0, 1), -4): (20, 589)
(8, 1, 2, (1, 0, 1), -3): (59, 742)
(8, 1, 2, (1, 0, 1), -2): (133, 928)
(8, 1, 2, (1, 0, 1), -1): (378, 1324)
(8, 1, 2, (1, 0, 1), 0): (1016, 1561)
(8, 1, 2, (1, 0, 1), 1): (1323, 1495)
(8, 1, 2, (1, 0, 1), 2): (1317, 1377)
(8, 1, 2, (1, 0, 1), 3): (1088, 1109)
(8, 1, 2, (1, 0, 1), 4): (876, 882)
(8, 1, 2, (1, 0, 1), 5): (704, 704)
(8, 1, 2, (1, 0, 1), 6): (513, 515)
(8, 1, 2, (1, 0, 1), 7): (350, 350)
(8, 1, 2, (1, 0, 1), 8): (232, 232)
(8, 1, 2, (1, 0, 1), 9): (149, 149)
(8, 1, 2, (1, 0, 1), 10): (115, 115)
(8, 1, 2, (1, 0, 1), 11): (73, 73)
(8, 1, 2, (1, 0, 1), 12): (57, 57)
(8, 1, 2, (1, 0, 1), 13): (26, 26)
(8, 1, 2, (1, 0, 1), 14): (16, 16)
(8, 1, 2, (1, 0, 1), 15): (9, 9)
(8, 1, 2, (1, 0, 1), 16): (6, 6)
(8, 1, 2, (1, 0, 1), 17): (3, 3)
(8, 1, 2, (1, 0, 1), 18): (3, 3)
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(8, 1, 2, (1, 1, 0), -15): (0, 6)
(8, 1, 2, (1, 1, 0), -14): (0, 16)
(8, 1, 2, (1, 1, 0), -13): (0, 32)
(8, 1, 2, (1, 1, 0), -12): (0, 54)
(8, 1, 2, (1, 1, 0), -11): (0, 75)
(8, 1, 2, (1, 1, 0), -10): (0, 122)
(8, 1, 2, (1, 1, 0), -9): (0, 204)
(8, 1, 2, (1, 1, 0), -8): (0, 292)
(8, 1, 2, (1, 1, 0), -7): (1, 482)
(8, 1, 2, (1, 1, 0), -6): (3, 702)
(8, 1, 2, (1, 1, 0), -5): (16, 914)
(8, 1, 2, (1, 1, 0), -4): (61, 1363)
(8, 1, 2, (1, 1, 0), -3): (133, 1773)
(8, 1, 2, (1, 1, 0), -2): (313, 2216)
(8, 1, 2, (1, 1, 0), -1): (748, 2601)
(8, 1, 2, (1, 1, 0), 0): (2174, 3438)
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(8, 1, 2, (1, 1, 0), 2): (2632, 2777)
(8, 1, 2, (1, 1, 0), 3): (2310, 2342)
(8, 1, 2, (1, 1, 0), 4): (1819, 1825)
(8, 1, 2, (1, 1, 0), 5): (1367, 1370)
(8, 1, 2, (1, 1, 0), 6): (1096, 1098)
(8, 1, 2, (1, 1, 0), 7): (761, 761)
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(8, 1, 2, (1, 1, 0), 9): (350, 350)
(8, 1, 2, (1, 1, 0), 10): (266, 266)
(8, 1, 2, (1, 1, 0), 11): (169, 169)
(8, 1, 2, (1, 1, 0), 12): (104, 104)
(8, 1, 2, (1, 1, 0), 13): (65, 65)
(8, 1, 2, (1, 1, 0), 14): (28, 28)
(8, 1, 2, (1, 1, 0), 15): (26, 26)
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(8, 1, 2, (1, 1, 1), -10): (0, 44)
(8, 1, 2, (1, 1, 1), -9): (0, 57)
(8, 1, 2, (1, 1, 1), -8): (0, 83)
(8, 1, 2, (1, 1, 1), -7): (1, 141)
(8, 1, 2, (1, 1, 1), -6): (2, 183)
(8, 1, 2, (1, 1, 1), -5): (13, 280)
(8, 1, 2, (1, 1, 1), -4): (32, 424)
(8, 1, 2, (1, 1, 1), -3): (57, 508)
(8, 1, 2, (1, 1, 1), -2): (137, 702)
(8, 1, 2, (1, 1, 1), -1): (388, 1024)
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(8, 1, 2, (1, 1, 1), 2): (1093, 1148)
(8, 1, 2, (1, 1, 1), 3): (873, 889)
(8, 1, 2, (1, 1, 1), 4): (700, 705)
(8, 1, 2, (1, 1, 1), 5): (526, 528)
(8, 1, 2, (1, 1, 1), 6): (377, 379)
(8, 1, 2, (1, 1, 1), 7): (256, 256)
(8, 1, 2, (1, 1, 1), 8): (176, 176)
(8, 1, 2, (1, 1, 1), 9): (140, 140)
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(8, 1, 2, (1, 1, 1), 13): (29, 29)
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(9, 0, 0, (0, 0, 0), -17): (0, 41)
(9, 0, 0, (0, 0, 0), -16): (0, 85)
(9, 0, 0, (0, 0, 0), -15): (0, 123)
(9, 0, 0, (0, 0, 0), -14): (0, 214)
(9, 0, 0, (0, 0, 0), -13): (0, 364)
(9, 0, 0, (0, 0, 0), -12): (0, 616)
(9, 0, 0, (0, 0, 0), -11): (0, 900)
(9, 0, 0, (0, 0, 0), -10): (0, 1458)
(9, 0, 0, (0, 0, 0), -9): (0, 2167)
(9, 0, 0, (0, 0, 0), -8): (2, 3130)
(9, 0, 0, (0, 0, 0), -7): (1, 4320)
(9, 0, 0, (0, 0, 0), -6): (14, 6343)
(9, 0, 0, (0, 0, 0), -5): (31, 8822)
(9, 0, 0, (0, 0, 0), -4): (110, 11742)
(9, 0, 0, (0, 0, 0), -3): (321, 14527)
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(9, 0, 0, (0, 0, 1), -7): (0, 46)
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(9, 0, 0, (0, 0, 1), -4): (1, 114)
(9, 0, 0, (0, 0, 1), -3): (7, 131)
(9, 0, 0, (0, 0, 1), -2): (17, 149)
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(9, 0, 0, (0, 1, 0), -9): (0, 135)
(9, 0, 0, (0, 1, 0), -8): (0, 215)
(9, 0, 0, (0, 1, 0), -7): (0, 261)
(9, 0, 0, (0, 1, 0), -6): (1, 364)
(9, 0, 0, (0, 1, 0), -5): (4, 508)
(9, 0, 0, (0, 1, 0), -4): (14, 700)
(9, 0, 0, (0, 1, 0), -3): (55, 821)
(9, 0, 0, (0, 1, 0), -2): (138, 947)
(9, 0, 0, (0, 1, 0), -1): (336, 1027)
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(9, 0, 0, (0, 1, 1), -8): (0, 36)
(9, 0, 0, (0, 1, 1), -7): (0, 56)
(9, 0, 0, (0, 1, 1), -6): (1, 74)
(9, 0, 0, (0, 1, 1), -5): (1, 111)
(9, 0, 0, (0, 1, 1), -4): (4, 138)
(9, 0, 0, (0, 1, 1), -3): (18, 167)
(9, 0, 0, (0, 1, 1), -2): (55, 200)
(9, 0, 0, (0, 1, 1), -1): (122, 210)
(9, 0, 0, (0, 1, 1), 0): (150, 194)
(9, 0, 0, (0, 1, 1), 1): (208, 223)
(9, 0, 0, (0, 1, 1), 2): (211, 221)
(9, 0, 0, (0, 1, 1), 3): (179, 182)
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(9, 0, 0, (0, 1, 1), 8): (46, 46)
(9, 0, 0, (0, 1, 1), 9): (34, 34)
(9, 0, 0, (0, 1, 1), 10): (20, 20)
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(9, 0, 0, (1, 0, 0), -11): (0, 207)
(9, 0, 0, (1, 0, 0), -10): (0, 378)
(9, 0, 0, (1, 0, 0), -9): (0, 560)
(9, 0, 0, (1, 0, 0), -8): (2, 782)
(9, 0, 0, (1, 0, 0), -7): (1, 1078)
(9, 0, 0, (1, 0, 0), -6): (11, 1620)
(9, 0, 0, (1, 0, 0), -5): (20, 2251)
(9, 0, 0, (1, 0, 0), -4): (72, 2902)
(9, 0, 0, (1, 0, 0), -3): (177, 3490)
(9, 0, 0, (1, 0, 0), -2): (528, 4342)
(9, 0, 0, (1, 0, 0), -1): (1205, 4909)
(9, 0, 0, (1, 0, 0), 0): (2908, 5104)
(9, 0, 0, (1, 0, 0), 1): (4147, 4752)
(9, 0, 0, (1, 0, 0), 2): (3703, 3935)
(9, 0, 0, (1, 0, 0), 3): (3251, 3341)
(9, 0, 0, (1, 0, 0), 4): (2571, 2593)
(9, 0, 0, (1, 0, 0), 5): (1931, 1946)
(9, 0, 0, (1, 0, 0), 6): (1338, 1341)
(9, 0, 0, (1, 0, 0), 7): (934, 934)
(9, 0, 0, (1, 0, 0), 8): (567, 567)
(9, 0, 0, (1, 0, 0), 9): (377, 377)
(9, 0, 0, (1, 0, 0), 10): (291, 291)
(9, 0, 0, (1, 0, 0), 11): (177, 177)
(9, 0, 0, (1, 0, 0), 12): (108, 108)
(9, 0, 0, (1, 0, 0), 13): (66, 66)
(9, 0, 0, (1, 0, 0), 14): (33, 33)
(9, 0, 0, (1, 0, 0), 15): (20, 20)
(9, 0, 0, (1, 0, 0), 16): (15, 15)
(9, 0, 0, (1, 0, 0), 17): (7, 7)
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(9, 0, 0, (1, 0, 0), 19): (6, 6)
(9, 0, 0, (1, 0, 0), 21): (2, 2)
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(9, 0, 0, (1, 0, 1), -16): (0, 3)
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(9, 0, 0, (1, 0, 1), -12): (0, 8)
(9, 0, 0, (1, 0, 1), -11): (0, 21)
(9, 0, 0, (1, 0, 1), -10): (0, 20)
(9, 0, 0, (1, 0, 1), -9): (0, 42)
(9, 0, 0, (1, 0, 1), -8): (1, 57)
(9, 0, 0, (1, 0, 1), -7): (1, 80)
(9, 0, 0, (1, 0, 1), -6): (0, 96)
(9, 0, 0, (1, 0, 1), -5): (4, 159)
(9, 0, 0, (1, 0, 1), -4): (15, 173)
(9, 0, 0, (1, 0, 1), -3): (24, 234)
(9, 0, 0, (1, 0, 1), -2): (72, 329)
(9, 0, 0, (1, 0, 1), -1): (214, 420)
(9, 0, 0, (1, 0, 1), 0): (316, 391)
(9, 0, 0, (1, 0, 1), 1): (387, 426)
(9, 0, 0, (1, 0, 1), 2): (337, 349)
(9, 0, 0, (1, 0, 1), 3): (306, 312)
(9, 0, 0, (1, 0, 1), 4): (251, 252)
(9, 0, 0, (1, 0, 1), 5): (170, 171)
(9, 0, 0, (1, 0, 1), 6): (143, 143)
(9, 0, 0, (1, 0, 1), 7): (104, 104)
(9, 0, 0, (1, 0, 1), 8): (48, 48)
(9, 0, 0, (1, 0, 1), 9): (33, 33)
(9, 0, 0, (1, 0, 1), 10): (22, 22)
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(9, 0, 0, (1, 0, 1), 12): (10, 10)
(9, 0, 0, (1, 0, 1), 13): (11, 11)
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(9, 0, 0, (1, 1, 0), -13): (0, 20)
(9, 0, 0, (1, 1, 0), -12): (0, 43)
(9, 0, 0, (1, 1, 0), -11): (0, 57)
(9, 0, 0, (1, 1, 0), -10): (0, 98)
(9, 0, 0, (1, 1, 0), -9): (0, 129)
(9, 0, 0, (1, 1, 0), -8): (1, 189)
(9, 0, 0, (1, 1, 0), -7): (1, 281)
(9, 0, 0, (1, 1, 0), -6): (8, 392)
(9, 0, 0, (1, 1, 0), -5): (16, 554)
(9, 0, 0, (1, 1, 0), -4): (42, 702)
(9, 0, 0, (1, 1, 0), -3): (99, 853)
(9, 0, 0, (1, 1, 0), -2): (251, 1062)
(9, 0, 0, (1, 1, 0), -1): (420, 969)
(9, 0, 0, (1, 1, 0), 0): (559, 814)
(9, 0, 0, (1, 1, 0), 1): (763, 837)
(9, 0, 0, (1, 1, 0), 2): (749, 782)
(9, 0, 0, (1, 1, 0), 3): (706, 721)
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(9, 0, 0, (1, 1, 0), 5): (506, 510)
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(9, 0, 0, (1, 1, 0), 7): (240, 240)
(9, 0, 0, (1, 1, 0), 8): (166, 166)
(9, 0, 0, (1, 1, 0), 9): (108, 108)
(9, 0, 0, (1, 1, 0), 10): (85, 85)
(9, 0, 0, (1, 1, 0), 11): (51, 51)
(9, 0, 0, (1, 1, 0), 12): (23, 23)
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(9, 0, 0, (1, 1, 1), -6): (3, 79)
(9, 0, 0, (1, 1, 1), -5): (4, 115)
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(9, 0, 0, (1, 1, 1), -3): (46, 196)
(9, 0, 0, (1, 1, 1), -2): (80, 216)
(9, 0, 0, (1, 1, 1), -1): (149, 236)
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(9, 0, 0, (1, 1, 1), 1): (249, 261)
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(9, 0, 0, (1, 1, 1), 3): (207, 209)
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(9, 0, 0, (1, 1, 1), 6): (84, 84)
(9, 0, 0, (1, 1, 1), 7): (57, 57)
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(9, 0, 1, (0, 0, 0), -14): (0, 140)
(9, 0, 1, (0, 0, 0), -13): (0, 257)
(9, 0, 1, (0, 0, 0), -12): (0, 422)
(9, 0, 1, (0, 0, 0), -11): (0, 629)
(9, 0, 1, (0, 0, 0), -10): (0, 1009)
(9, 0, 1, (0, 0, 0), -9): (0, 1482)
(9, 0, 1, (0, 0, 0), -8): (0, 2162)
(9, 0, 1, (0, 0, 0), -7): (0, 3029)
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(9, 0, 1, (0, 0, 0), -4): (21, 8308)
(9, 0, 1, (0, 0, 0), -3): (81, 10438)
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(9, 0, 1, (0, 1, 1), -2): (98, 570)
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(9, 0, 1, (1, 0, 1), 3): (792, 806)
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(9, 0, 1, (1, 0, 1), 6): (357, 357)
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(9, 0, 1, (1, 0, 1), 12): (28, 28)
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(9, 1, 1, (0, 1, 1), -7): (0, 133)
(9, 1, 1, (0, 1, 1), -6): (1, 161)
(9, 1, 1, (0, 1, 1), -5): (5, 213)
(9, 1, 1, (0, 1, 1), -4): (19, 334)
(9, 1, 1, (0, 1, 1), -3): (34, 347)
(9, 1, 1, (0, 1, 1), -2): (182, 627)
(9, 1, 1, (0, 1, 1), -1): (329, 612)
(9, 1, 1, (0, 1, 1), 0): (579, 695)
(9, 1, 1, (1, 0, 0), -22): (0, 1)
(9, 1, 1, (1, 0, 0), -21): (0, 2)
(9, 1, 1, (1, 0, 0), -20): (0, 3)
(9, 1, 1, (1, 0, 0), -19): (0, 4)
(9, 1, 1, (1, 0, 0), -18): (0, 9)
(9, 1, 1, (1, 0, 0), -17): (0, 10)
(9, 1, 1, (1, 0, 0), -16): (0, 28)
(9, 1, 1, (1, 0, 0), -15): (0, 40)
(9, 1, 1, (1, 0, 0), -14): (0, 74)
(9, 1, 1, (1, 0, 0), -13): (0, 105)
(9, 1, 1, (1, 0, 0), -12): (0, 142)
(9, 1, 1, (1, 0, 0), -11): (0, 235)
(9, 1, 1, (1, 0, 0), -10): (0, 398)
(9, 1, 1, (1, 0, 0), -9): (0, 570)
(9, 1, 1, (1, 0, 0), -8): (0, 918)
(9, 1, 1, (1, 0, 0), -7): (2, 1359)
(9, 1, 1, (1, 0, 0), -6): (9, 1794)
(9, 1, 1, (1, 0, 0), -5): (18, 2473)
(9, 1, 1, (1, 0, 0), -4): (47, 3292)
(9, 1, 1, (1, 0, 0), -3): (141, 4195)
(9, 1, 1, (1, 0, 0), -2): (478, 5059)
(9, 1, 1, (1, 0, 0), -1): (1018, 5244)
(9, 1, 1, (1, 0, 0), 0): (3535, 5278)
(9, 1, 1, (1, 0, 1), -18): (0, 3)
(9, 1, 1, (1, 0, 1), -17): (0, 4)
(9, 1, 1, (1, 0, 1), -16): (0, 3)
(9, 1, 1, (1, 0, 1), -15): (0, 11)
(9, 1, 1, (1, 0, 1), -14): (0, 15)
(9, 1, 1, (1, 0, 1), -13): (0, 14)
(9, 1, 1, (1, 0, 1), -12): (0, 20)
(9, 1, 1, (1, 0, 1), -11): (0, 29)
(9, 1, 1, (1, 0, 1), -10): (0, 55)
(9, 1, 1, (1, 0, 1), -9): (0, 88)
(9, 1, 1, (1, 0, 1), -8): (0, 118)
(9, 1, 1, (1, 0, 1), -7): (0, 191)
(9, 1, 1, (1, 0, 1), -6): (1, 257)
(9, 1, 1, (1, 0, 1), -5): (5, 336)
(9, 1, 1, (1, 0, 1), -4): (12, 416)
(9, 1, 1, (1, 0, 1), -3): (55, 545)
(9, 1, 1, (1, 0, 1), -2): (117, 679)
(9, 1, 1, (1, 0, 1), -1): (400, 878)
(9, 1, 1, (1, 0, 1), 0): (985, 1157)
(9, 1, 1, (1, 1, 0), -23): (0, 1)
(9, 1, 1, (1, 1, 0), -20): (0, 1)
(9, 1, 1, (1, 1, 0), -19): (0, 5)
(9, 1, 1, (1, 1, 0), -18): (0, 1)
(9, 1, 1, (1, 1, 0), -17): (0, 2)
(9, 1, 1, (1, 1, 0), -16): (0, 7)
(9, 1, 1, (1, 1, 0), -15): (0, 16)
(9, 1, 1, (1, 1, 0), -14): (0, 23)
(9, 1, 1, (1, 1, 0), -13): (0, 44)
(9, 1, 1, (1, 1, 0), -12): (0, 52)
(9, 1, 1, (1, 1, 0), -11): (0, 86)
(9, 1, 1, (1, 1, 0), -10): (0, 134)
(9, 1, 1, (1, 1, 0), -9): (0, 224)
(9, 1, 1, (1, 1, 0), -8): (0, 317)
(9, 1, 1, (1, 1, 0), -7): (1, 504)
(9, 1, 1, (1, 1, 0), -6): (5, 641)
(9, 1, 1, (1, 1, 0), -5): (15, 904)
(9, 1, 1, (1, 1, 0), -4): (40, 1163)
(9, 1, 1, (1, 1, 0), -3): (134, 1439)
(9, 1, 1, (1, 1, 0), -2): (320, 1754)
(9, 1, 1, (1, 1, 0), -1): (617, 1754)
(9, 1, 1, (1, 1, 0), 0): (2301, 3034)
(9, 1, 1, (1, 1, 1), -19): (0, 3)
(9, 1, 1, (1, 1, 1), -17): (0, 1)
(9, 1, 1, (1, 1, 1), -16): (0, 2)
(9, 1, 1, (1, 1, 1), -15): (0, 4)
(9, 1, 1, (1, 1, 1), -14): (0, 5)
(9, 1, 1, (1, 1, 1), -13): (0, 14)
(9, 1, 1, (1, 1, 1), -12): (0, 12)
(9, 1, 1, (1, 1, 1), -11): (0, 22)
(9, 1, 1, (1, 1, 1), -10): (0, 32)
(9, 1, 1, (1, 1, 1), -9): (0, 64)
(9, 1, 1, (1, 1, 1), -8): (0, 78)
(9, 1, 1, (1, 1, 1), -7): (2, 131)
(9, 1, 1, (1, 1, 1), -6): (3, 156)
(9, 1, 1, (1, 1, 1), -5): (8, 228)
(9, 1, 1, (1, 1, 1), -4): (32, 339)
(9, 1, 1, (1, 1, 1), -3): (80, 415)
(9, 1, 1, (1, 1, 1), -2): (165, 519)
(9, 1, 1, (1, 1, 1), -1): (442, 809)
(9, 1, 1, (1, 1, 1), 0): (1511, 1746)
(9, 1, 2, (0, 0, 0), -27): (0, 1)
(9, 1, 2, (0, 0, 0), -24): (0, 1)
(9, 1, 2, (0, 0, 0), -23): (0, 4)
(9, 1, 2, (0, 0, 0), -22): (0, 2)
(9, 1, 2, (0, 0, 0), -21): (0, 4)
(9, 1, 2, (0, 0, 0), -20): (0, 3)
(9, 1, 2, (0, 0, 0), -19): (0, 9)
(9, 1, 2, (0, 0, 0), -18): (0, 16)
(9, 1, 2, (0, 0, 0), -17): (0, 21)
(9, 1, 2, (0, 0, 0), -16): (0, 40)
(9, 1, 2, (0, 0, 0), -15): (0, 48)
(9, 1, 2, (0, 0, 0), -14): (0, 117)
(9, 1, 2, (0, 0, 0), -13): (0, 182)
(9, 1, 2, (0, 0, 0), -12): (0, 281)
(9, 1, 2, (0, 0, 0), -11): (0, 423)
(9, 1, 2, (0, 0, 0), -10): (0, 638)
(9, 1, 2, (0, 0, 0), -9): (0, 1011)
(9, 1, 2, (0, 0, 0), -8): (0, 1456)
(9, 1, 2, (0, 0, 0), -7): (0, 2192)
(9, 1, 2, (0, 0, 0), -6): (1, 3054)
(9, 1, 2, (0, 0, 0), -5): (2, 4213)
(9, 1, 2, (0, 0, 0), -4): (9, 5791)
(9, 1, 2, (0, 0, 0), -3): (38, 7229)
(9, 1, 2, (0, 0, 0), -2): (106, 8652)
(9, 1, 2, (0, 0, 0), -1): (376, 10028)
(9, 1, 2, (0, 0, 0), 0): (5040, 9143)
(9, 1, 2, (0, 0, 1), -20): (0, 1)
(9, 1, 2, (0, 0, 1), -18): (0, 4)
(9, 1, 2, (0, 0, 1), -17): (0, 3)
(9, 1, 2, (0, 0, 1), -16): (0, 4)
(9, 1, 2, (0, 0, 1), -15): (0, 6)
(9, 1, 2, (0, 0, 1), -14): (0, 18)
(9, 1, 2, (0, 0, 1), -13): (0, 14)
(9, 1, 2, (0, 0, 1), -12): (0, 19)
(9, 1, 2, (0, 0, 1), -11): (0, 40)
(9, 1, 2, (0, 0, 1), -10): (0, 58)
(9, 1, 2, (0, 0, 1), -9): (0, 95)
(9, 1, 2, (0, 0, 1), -8): (0, 148)
(9, 1, 2, (0, 0, 1), -7): (0, 206)
(9, 1, 2, (0, 0, 1), -6): (0, 295)
(9, 1, 2, (0, 0, 1), -5): (1, 453)
(9, 1, 2, (0, 0, 1), -4): (3, 578)
(9, 1, 2, (0, 0, 1), -3): (13, 705)
(9, 1, 2, (0, 0, 1), -2): (42, 757)
(9, 1, 2, (0, 0, 1), -1): (174, 1089)
(9, 1, 2, (0, 0, 1), 0): (602, 876)
(9, 1, 2, (0, 1, 0), -23): (0, 1)
(9, 1, 2, (0, 1, 0), -22): (0, 2)
(9, 1, 2, (0, 1, 0), -18): (0, 3)
(9, 1, 2, (0, 1, 0), -17): (0, 8)
(9, 1, 2, (0, 1, 0), -16): (0, 7)
(9, 1, 2, (0, 1, 0), -15): (0, 18)
(9, 1, 2, (0, 1, 0), -14): (0, 33)
(9, 1, 2, (0, 1, 0), -13): (0, 39)
(9, 1, 2, (0, 1, 0), -12): (0, 65)
(9, 1, 2, (0, 1, 0), -11): (0, 105)
(9, 1, 2, (0, 1, 0), -10): (0, 172)
(9, 1, 2, (0, 1, 0), -9): (0, 267)
(9, 1, 2, (0, 1, 0), -8): (0, 388)
(9, 1, 2, (0, 1, 0), -7): (0, 579)
(9, 1, 2, (0, 1, 0), -6): (1, 892)
(9, 1, 2, (0, 1, 0), -5): (2, 1282)
(9, 1, 2, (0, 1, 0), -4): (9, 1761)
(9, 1, 2, (0, 1, 0), -3): (21, 2070)
(9, 1, 2, (0, 1, 0), -2): (97, 2362)
(9, 1, 2, (0, 1, 0), -1): (350, 2816)
(9, 1, 2, (0, 1, 0), 0): (1767, 2861)
(9, 1, 2, (0, 1, 1), -18): (0, 1)
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(9, 1, 2, (0, 1, 1), -16): (0, 2)
(9, 1, 2, (0, 1, 1), -15): (0, 6)
(9, 1, 2, (0, 1, 1), -14): (0, 3)
(9, 1, 2, (0, 1, 1), -13): (0, 19)
(9, 1, 2, (0, 1, 1), -12): (0, 21)
(9, 1, 2, (0, 1, 1), -11): (0, 26)
(9, 1, 2, (0, 1, 1), -10): (0, 40)
(9, 1, 2, (0, 1, 1), -9): (0, 68)
(9, 1, 2, (0, 1, 1), -8): (0, 90)
(9, 1, 2, (0, 1, 1), -7): (0, 151)
(9, 1, 2, (0, 1, 1), -6): (1, 233)
(9, 1, 2, (0, 1, 1), -5): (3, 337)
(9, 1, 2, (0, 1, 1), -4): (2, 430)
(9, 1, 2, (0, 1, 1), -3): (27, 527)
(9, 1, 2, (0, 1, 1), -2): (87, 624)
(9, 1, 2, (0, 1, 1), -1): (123, 589)
(9, 1, 2, (0, 1, 1), 0): (680, 1005)
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(9, 1, 2, (1, 0, 0), -21): (0, 3)
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(9, 1, 2, (1, 0, 0), -19): (0, 5)
(9, 1, 2, (1, 0, 0), -18): (0, 9)
(9, 1, 2, (1, 0, 0), -17): (0, 15)
(9, 1, 2, (1, 0, 0), -16): (0, 22)
(9, 1, 2, (1, 0, 0), -15): (0, 40)
(9, 1, 2, (1, 0, 0), -14): (0, 63)
(9, 1, 2, (1, 0, 0), -13): (0, 116)
(9, 1, 2, (1, 0, 0), -12): (0, 145)
(9, 1, 2, (1, 0, 0), -11): (0, 245)
(9, 1, 2, (1, 0, 0), -10): (0, 378)
(9, 1, 2, (1, 0, 0), -9): (0, 556)
(9, 1, 2, (1, 0, 0), -8): (0, 882)
(9, 1, 2, (1, 0, 0), -7): (1, 1287)
(9, 1, 2, (1, 0, 0), -6): (1, 1694)
(9, 1, 2, (1, 0, 0), -5): (5, 2365)
(9, 1, 2, (1, 0, 0), -4): (19, 3332)
(9, 1, 2, (1, 0, 0), -3): (53, 4315)
(9, 1, 2, (1, 0, 0), -2): (190, 5123)
(9, 1, 2, (1, 0, 0), -1): (487, 5606)
(9, 1, 2, (1, 0, 0), 0): (2978, 5138)
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(9, 1, 2, (1, 0, 1), -18): (0, 5)
(9, 1, 2, (1, 0, 1), -17): (0, 3)
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(9, 1, 2, (1, 0, 1), -15): (0, 8)
(9, 1, 2, (1, 0, 1), -14): (0, 10)
(9, 1, 2, (1, 0, 1), -13): (0, 14)
(9, 1, 2, (1, 0, 1), -12): (0, 24)
(9, 1, 2, (1, 0, 1), -11): (0, 41)
(9, 1, 2, (1, 0, 1), -10): (0, 51)
(9, 1, 2, (1, 0, 1), -9): (0, 92)
(9, 1, 2, (1, 0, 1), -8): (0, 133)
(9, 1, 2, (1, 0, 1), -7): (0, 202)
(9, 1, 2, (1, 0, 1), -6): (2, 328)
(9, 1, 2, (1, 0, 1), -5): (2, 453)
(9, 1, 2, (1, 0, 1), -4): (7, 592)
(9, 1, 2, (1, 0, 1), -3): (36, 738)
(9, 1, 2, (1, 0, 1), -2): (85, 938)
(9, 1, 2, (1, 0, 1), -1): (218, 1182)
(9, 1, 2, (1, 0, 1), 0): (968, 1398)
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(9, 1, 2, (1, 1, 0), -18): (0, 5)
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(9, 1, 2, (1, 1, 0), -15): (0, 14)
(9, 1, 2, (1, 1, 0), -14): (0, 24)
(9, 1, 2, (1, 1, 0), -13): (0, 45)
(9, 1, 2, (1, 1, 0), -12): (0, 67)
(9, 1, 2, (1, 1, 0), -11): (0, 104)
(9, 1, 2, (1, 1, 0), -10): (0, 139)
(9, 1, 2, (1, 1, 0), -9): (0, 206)
(9, 1, 2, (1, 1, 0), -8): (0, 369)
(9, 1, 2, (1, 1, 0), -7): (1, 613)
(9, 1, 2, (1, 1, 0), -6): (1, 708)
(9, 1, 2, (1, 1, 0), -5): (3, 976)
(9, 1, 2, (1, 1, 0), -4): (17, 1395)
(9, 1, 2, (1, 1, 0), -3): (71, 1729)
(9, 1, 2, (1, 1, 0), -2): (172, 2114)
(9, 1, 2, (1, 1, 0), -1): (387, 2333)
(9, 1, 2, (1, 1, 0), 0): (2176, 3425)
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(9, 1, 2, (1, 1, 1), -16): (0, 2)
(9, 1, 2, (1, 1, 1), -15): (0, 4)
(9, 1, 2, (1, 1, 1), -14): (0, 6)
(9, 1, 2, (1, 1, 1), -13): (0, 11)
(9, 1, 2, (1, 1, 1), -12): (0, 18)
(9, 1, 2, (1, 1, 1), -11): (0, 29)
(9, 1, 2, (1, 1, 1), -10): (0, 32)
(9, 1, 2, (1, 1, 1), -9): (0, 67)
(9, 1, 2, (1, 1, 1), -8): (0, 105)
(9, 1, 2, (1, 1, 1), -7): (0, 145)
(9, 1, 2, (1, 1, 1), -6): (2, 196)
(9, 1, 2, (1, 1, 1), -5): (6, 305)
(9, 1, 2, (1, 1, 1), -4): (16, 432)
(9, 1, 2, (1, 1, 1), -3): (44, 506)
(9, 1, 2, (1, 1, 1), -2): (121, 658)
(9, 1, 2, (1, 1, 1), -1): (226, 908)
(9, 1, 2, (1, 1, 1), 0): (1147, 1693)
(10, 0, 0, (0, 0, 0), 0): (7725, 16237)
(10, 0, 0, (0, 0, 0), 1): (295, 363)
(10, 0, 0, (0, 0, 0), 2): (57, 61)
(10, 0, 0, (0, 0, 0), 3): (19, 19)
(10, 0, 0, (0, 0, 0), 4): (13, 14)
(10, 0, 0, (0, 0, 0), 5): (2, 2)
(10, 0, 0, (0, 0, 0), 6): (1, 1)
(10, 0, 0, (0, 0, 1), 0): (113, 152)
(10, 0, 0, (0, 0, 1), 1): (28, 31)
(10, 0, 0, (0, 0, 1), 2): (9, 9)
(10, 0, 0, (0, 0, 1), 3): (3, 3)
(10, 0, 0, (0, 0, 1), 4): (1, 1)
(10, 0, 0, (0, 1, 0), 0): (581, 870)
(10, 0, 0, (0, 1, 0), 1): (88, 98)
(10, 0, 0, (0, 1, 0), 2): (26, 27)
(10, 0, 0, (0, 1, 0), 3): (11, 11)
(10, 0, 0, (0, 1, 0), 4): (6, 6)
(10, 0, 0, (0, 1, 0), 5): (1, 1)
(10, 0, 0, (0, 1, 0), 6): (1, 1)
(10, 0, 0, (0, 1, 1), 0): (84, 110)
(10, 0, 0, (0, 1, 1), 1): (40, 42)
(10, 0, 0, (0, 1, 1), 2): (21, 22)
(10, 0, 0, (0, 1, 1), 3): (4, 4)
(10, 0, 0, (0, 1, 1), 4): (3, 3)
(10, 0, 0, (0, 1, 1), 5): (2, 2)
(10, 0, 0, (1, 0, 0), 0): (2333, 4190)
(10, 0, 0, (1, 0, 0), 1): (120, 141)
(10, 0, 0, (1, 0, 0), 2): (20, 22)
(10, 0, 0, (1, 0, 0), 3): (10, 10)
(10, 0, 0, (1, 0, 0), 4): (5, 6)
(10, 0, 0, (1, 0, 1), 0): (213, 272)
(10, 0, 0, (1, 0, 1), 1): (53, 57)
(10, 0, 0, (1, 0, 1), 2): (20, 21)
(10, 0, 0, (1, 0, 1), 3): (7, 7)
(10, 0, 0, (1, 0, 1), 4): (4, 4)
(10, 0, 0, (1, 0, 1), 6): (1, 1)
(10, 0, 0, (1, 1, 0), 0): (461, 641)
(10, 0, 0, (1, 1, 0), 1): (72, 75)
(10, 0, 0, (1, 1, 0), 2): (18, 19)
(10, 0, 0, (1, 1, 0), 3): (13, 13)
(10, 0, 0, (1, 1, 0), 4): (5, 5)
(10, 0, 0, (1, 1, 0), 5): (2, 2)
(10, 0, 0, (1, 1, 0), 7): (1, 1)
(10, 0, 0, (1, 1, 0), 8): (1, 1)
(10, 0, 0, (1, 1, 1), 0): (138, 175)
(10, 0, 0, (1, 1, 1), 1): (59, 61)
(10, 0, 0, (1, 1, 1), 2): (19, 19)
(10, 0, 0, (1, 1, 1), 3): (5, 5)
(10, 0, 0, (1, 1, 1), 4): (2, 2)
(10, 0, 0, (1, 1, 1), 5): (1, 1)
(10, 0, 1, (0, 0, 0), 0): (4607, 10981)
(10, 0, 1, (0, 0, 0), 1): (420, 526)
(10, 0, 1, (0, 0, 0), 2): (182, 196)
(10, 0, 1, (0, 0, 0), 3): (86, 86)
(10, 0, 1, (0, 0, 0), 4): (41, 42)
(10, 0, 1, (0, 0, 0), 5): (11, 11)
(10, 0, 1, (0, 0, 0), 6): (10, 10)
(10, 0, 1, (0, 0, 0), 7): (2, 2)
(10, 0, 1, (0, 0, 0), 8): (1, 1)
(10, 0, 1, (0, 0, 1), 0): (330, 512)
(10, 0, 1, (0, 0, 1), 1): (116, 127)
(10, 0, 1, (0, 0, 1), 2): (48, 52)
(10, 0, 1, (0, 0, 1), 3): (25, 26)
(10, 0, 1, (0, 0, 1), 4): (15, 16)
(10, 0, 1, (0, 0, 1), 5): (4, 5)
(10, 0, 1, (0, 0, 1), 7): (1, 1)
(10, 0, 1, (0, 0, 1), 8): (1, 1)
(10, 0, 1, (0, 1, 0), 0): (1339, 2441)
(10, 0, 1, (0, 1, 0), 1): (317, 361)
(10, 0, 1, (0, 1, 0), 2): (100, 108)
(10, 0, 1, (0, 1, 0), 3): (48, 49)
(10, 0, 1, (0, 1, 0), 4): (22, 22)
(10, 0, 1, (0, 1, 0), 5): (7, 7)
(10, 0, 1, (0, 1, 0), 6): (3, 3)
(10, 0, 1, (0, 1, 0), 7): (1, 1)
(10, 0, 1, (0, 1, 1), 0): (243, 358)
(10, 0, 1, (0, 1, 1), 1): (148, 160)
(10, 0, 1, (0, 1, 1), 2): (77, 81)
(10, 0, 1, (0, 1, 1), 3): (25, 25)
(10, 0, 1, (0, 1, 1), 4): (9, 9)
(10, 0, 1, (0, 1, 1), 5): (6, 6)
(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): (1977, 4234)
(10, 0, 1, (1, 0, 0), 1): (302, 369)
(10, 0, 1, (1, 0, 0), 2): (119, 130)
(10, 0, 1, (1, 0, 0), 3): (59, 60)
(10, 0, 1, (1, 0, 0), 4): (28, 28)
(10, 0, 1, (1, 0, 0), 5): (6, 6)
(10, 0, 1, (1, 0, 0), 6): (6, 6)
(10, 0, 1, (1, 0, 0), 7): (1, 1)
(10, 0, 1, (1, 0, 0), 8): (1, 1)
(10, 0, 1, (1, 0, 1), 0): (455, 660)
(10, 0, 1, (1, 0, 1), 1): (165, 190)
(10, 0, 1, (1, 0, 1), 2): (90, 95)
(10, 0, 1, (1, 0, 1), 3): (37, 37)
(10, 0, 1, (1, 0, 1), 4): (19, 19)
(10, 0, 1, (1, 0, 1), 5): (10, 10)
(10, 0, 1, (1, 0, 1), 6): (2, 2)
(10, 0, 1, (1, 0, 1), 7): (1, 1)
(10, 0, 1, (1, 1, 0), 0): (874, 1544)
(10, 0, 1, (1, 1, 0), 1): (320, 358)
(10, 0, 1, (1, 1, 0), 2): (114, 125)
(10, 0, 1, (1, 1, 0), 3): (49, 52)
(10, 0, 1, (1, 1, 0), 4): (21, 21)
(10, 0, 1, (1, 1, 0), 5): (5, 5)
(10, 0, 1, (1, 1, 0), 6): (3, 3)
(10, 0, 1, (1, 1, 0), 7): (2, 2)
(10, 0, 1, (1, 1, 0), 8): (3, 3)
(10, 0, 1, (1, 1, 0), 9): (1, 1)
(10, 0, 1, (1, 1, 0), 10): (1, 1)
(10, 0, 1, (1, 1, 1), 0): (371, 541)
(10, 0, 1, (1, 1, 1), 1): (196, 214)
(10, 0, 1, (1, 1, 1), 2): (84, 88)
(10, 0, 1, (1, 1, 1), 3): (36, 37)
(10, 0, 1, (1, 1, 1), 4): (11, 11)
(10, 0, 1, (1, 1, 1), 5): (2, 2)
(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): (2952, 7829)
(10, 0, 2, (0, 0, 0), 1): (505, 634)
(10, 0, 2, (0, 0, 0), 2): (253, 273)
(10, 0, 2, (0, 0, 0), 3): (142, 144)
(10, 0, 2, (0, 0, 0), 4): (61, 65)
(10, 0, 2, (0, 0, 0), 5): (26, 26)
(10, 0, 2, (0, 0, 0), 6): (21, 21)
(10, 0, 2, (0, 0, 0), 7): (8, 8)
(10, 0, 2, (0, 0, 0), 8): (4, 4)
(10, 0, 2, (0, 0, 1), 0): (309, 692)
(10, 0, 2, (0, 0, 1), 1): (149, 175)
(10, 0, 2, (0, 0, 1), 2): (95, 102)
(10, 0, 2, (0, 0, 1), 3): (38, 42)
(10, 0, 2, (0, 0, 1), 4): (28, 28)
(10, 0, 2, (0, 0, 1), 5): (5, 6)
(10, 0, 2, (0, 0, 1), 6): (4, 4)
(10, 0, 2, (0, 0, 1), 7): (2, 2)
(10, 0, 2, (0, 0, 1), 8): (1, 1)
(10, 0, 2, (0, 1, 0), 0): (959, 2016)
(10, 0, 2, (0, 1, 0), 1): (468, 559)
(10, 0, 2, (0, 1, 0), 2): (217, 240)
(10, 0, 2, (0, 1, 0), 3): (103, 106)
(10, 0, 2, (0, 1, 0), 4): (60, 62)
(10, 0, 2, (0, 1, 0), 5): (24, 24)
(10, 0, 2, (0, 1, 0), 6): (15, 15)
(10, 0, 2, (0, 1, 0), 7): (2, 2)
(10, 0, 2, (0, 1, 0), 8): (1, 1)
(10, 0, 2, (0, 1, 1), 0): (170, 364)
(10, 0, 2, (0, 1, 1), 1): (186, 216)
(10, 0, 2, (0, 1, 1), 2): (101, 108)
(10, 0, 2, (0, 1, 1), 3): (42, 44)
(10, 0, 2, (0, 1, 1), 4): (15, 15)
(10, 0, 2, (0, 1, 1), 5): (10, 10)
(10, 0, 2, (0, 1, 1), 6): (1, 1)
(10, 0, 2, (0, 1, 1), 7): (3, 3)
(10, 0, 2, (1, 0, 0), 0): (1473, 3745)
(10, 0, 2, (1, 0, 0), 1): (480, 593)
(10, 0, 2, (1, 0, 0), 2): (215, 232)
(10, 0, 2, (1, 0, 0), 3): (132, 134)
(10, 0, 2, (1, 0, 0), 4): (61, 64)
(10, 0, 2, (1, 0, 0), 5): (27, 27)
(10, 0, 2, (1, 0, 0), 6): (11, 11)
(10, 0, 2, (1, 0, 0), 7): (3, 3)
(10, 0, 2, (1, 0, 0), 8): (3, 3)
(10, 0, 2, (1, 0, 0), 9): (1, 1)
(10, 0, 2, (1, 0, 1), 0): (341, 756)
(10, 0, 2, (1, 0, 1), 1): (263, 304)
(10, 0, 2, (1, 0, 1), 2): (120, 134)
(10, 0, 2, (1, 0, 1), 3): (63, 64)
(10, 0, 2, (1, 0, 1), 4): (37, 37)
(10, 0, 2, (1, 0, 1), 5): (8, 8)
(10, 0, 2, (1, 0, 1), 6): (1, 1)
(10, 0, 2, (1, 0, 1), 8): (2, 2)
(10, 0, 2, (1, 1, 0), 0): (830, 1813)
(10, 0, 2, (1, 1, 0), 1): (462, 554)
(10, 0, 2, (1, 1, 0), 2): (219, 237)
(10, 0, 2, (1, 1, 0), 3): (103, 107)
(10, 0, 2, (1, 1, 0), 4): (49, 50)
(10, 0, 2, (1, 1, 0), 5): (18, 18)
(10, 0, 2, (1, 1, 0), 6): (5, 5)
(10, 0, 2, (1, 1, 0), 7): (2, 2)
(10, 0, 2, (1, 1, 0), 8): (1, 1)
(10, 0, 2, (1, 1, 0), 9): (2, 2)
(10, 0, 2, (1, 1, 1), 0): (288, 582)
(10, 0, 2, (1, 1, 1), 1): (247, 289)
(10, 0, 2, (1, 1, 1), 2): (103, 112)
(10, 0, 2, (1, 1, 1), 3): (47, 50)
(10, 0, 2, (1, 1, 1), 4): (11, 12)
(10, 0, 2, (1, 1, 1), 5): (6, 6)
(10, 0, 2, (1, 1, 1), 6): (2, 2)
(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, 3)
(10, 1, 0, (0, 0, 0), -8): (0, 9)
(10, 1, 0, (0, 0, 0), -7): (0, 15)
(10, 1, 0, (0, 0, 0), -6): (0, 42)
(10, 1, 0, (0, 0, 0), -5): (1, 94)
(10, 1, 0, (0, 0, 0), -4): (6, 226)
(10, 1, 0, (0, 0, 0), -3): (18, 495)
(10, 1, 0, (0, 0, 0), -2): (84, 1015)
(10, 1, 0, (0, 0, 0), -1): (443, 2296)
(10, 1, 0, (0, 0, 0), 0): (8002, 12136)
(10, 1, 0, (0, 0, 1), -8): (0, 1)
(10, 1, 0, (0, 0, 1), -4): (0, 3)
(10, 1, 0, (0, 0, 1), -3): (0, 3)
(10, 1, 0, (0, 0, 1), -2): (2, 5)
(10, 1, 0, (0, 0, 1), -1): (16, 27)
(10, 1, 0, (0, 0, 1), 0): (112, 126)
(10, 1, 0, (0, 1, 0), -8): (0, 2)
(10, 1, 0, (0, 1, 0), -7): (0, 1)
(10, 1, 0, (0, 1, 0), -6): (0, 2)
(10, 1, 0, (0, 1, 0), -5): (0, 9)
(10, 1, 0, (0, 1, 0), -4): (0, 14)
(10, 1, 0, (0, 1, 0), -3): (2, 34)
(10, 1, 0, (0, 1, 0), -2): (11, 51)
(10, 1, 0, (0, 1, 0), -1): (53, 116)
(10, 1, 0, (0, 1, 0), 0): (588, 715)
(10, 1, 0, (0, 1, 1), -4): (0, 5)
(10, 1, 0, (0, 1, 1), -3): (1, 3)
(10, 1, 0, (0, 1, 1), -2): (8, 12)
(10, 1, 0, (0, 1, 1), -1): (11, 21)
(10, 1, 0, (0, 1, 1), 0): (87, 93)
(10, 1, 0, (1, 0, 0), -11): (0, 1)
(10, 1, 0, (1, 0, 0), -9): (0, 1)
(10, 1, 0, (1, 0, 0), -8): (0, 2)
(10, 1, 0, (1, 0, 0), -7): (0, 5)
(10, 1, 0, (1, 0, 0), -6): (0, 10)
(10, 1, 0, (1, 0, 0), -5): (0, 23)
(10, 1, 0, (1, 0, 0), -4): (4, 57)
(10, 1, 0, (1, 0, 0), -3): (9, 119)
(10, 1, 0, (1, 0, 0), -2): (45, 256)
(10, 1, 0, (1, 0, 0), -1): (191, 596)
(10, 1, 0, (1, 0, 0), 0): (2429, 3314)
(10, 1, 0, (1, 0, 1), -8): (0, 1)
(10, 1, 0, (1, 0, 1), -5): (0, 2)
(10, 1, 0, (1, 0, 1), -4): (0, 5)
(10, 1, 0, (1, 0, 1), -3): (1, 5)
(10, 1, 0, (1, 0, 1), -2): (9, 18)
(10, 1, 0, (1, 0, 1), -1): (16, 33)
(10, 1, 0, (1, 0, 1), 0): (212, 240)
(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, 2)
(10, 1, 0, (1, 1, 0), -6): (0, 5)
(10, 1, 0, (1, 1, 0), -5): (0, 5)
(10, 1, 0, (1, 1, 0), -4): (3, 16)
(10, 1, 0, (1, 1, 0), -3): (4, 32)
(10, 1, 0, (1, 1, 0), -2): (20, 65)
(10, 1, 0, (1, 1, 0), -1): (57, 105)
(10, 1, 0, (1, 1, 0), 0): (542, 636)
(10, 1, 0, (1, 1, 1), -8): (0, 1)
(10, 1, 0, (1, 1, 1), -7): (0, 1)
(10, 1, 0, (1, 1, 1), -6): (0, 2)
(10, 1, 0, (1, 1, 1), -5): (0, 2)
(10, 1, 0, (1, 1, 1), -4): (1, 2)
(10, 1, 0, (1, 1, 1), -3): (3, 7)
(10, 1, 0, (1, 1, 1), -2): (10, 17)
(10, 1, 0, (1, 1, 1), -1): (19, 33)
(10, 1, 0, (1, 1, 1), 0): (289, 314)
(10, 1, 1, (0, 0, 0), -9): (0, 2)
(10, 1, 1, (0, 0, 0), -8): (0, 6)
(10, 1, 1, (0, 0, 0), -7): (0, 10)
(10, 1, 1, (0, 0, 0), -6): (0, 30)
(10, 1, 1, (0, 0, 0), -5): (1, 64)
(10, 1, 1, (0, 0, 0), -4): (2, 158)
(10, 1, 1, (0, 0, 0), -3): (7, 347)
(10, 1, 1, (0, 0, 0), -2): (26, 709)
(10, 1, 1, (0, 0, 0), -1): (177, 1589)
(10, 1, 1, (0, 0, 0), 0): (4860, 8068)
(10, 1, 1, (0, 0, 1), -6): (0, 1)
(10, 1, 1, (0, 0, 1), -5): (0, 2)
(10, 1, 1, (0, 0, 1), -4): (0, 7)
(10, 1, 1, (0, 0, 1), -3): (1, 18)
(10, 1, 1, (0, 0, 1), -2): (3, 20)
(10, 1, 1, (0, 0, 1), -1): (34, 69)
(10, 1, 1, (0, 0, 1), 0): (298, 365)
(10, 1, 1, (0, 1, 0), -8): (0, 1)
(10, 1, 1, (0, 1, 0), -7): (0, 2)
(10, 1, 1, (0, 1, 0), -6): (0, 2)
(10, 1, 1, (0, 1, 0), -5): (0, 8)
(10, 1, 1, (0, 1, 0), -4): (1, 16)
(10, 1, 1, (0, 1, 0), -3): (4, 58)
(10, 1, 1, (0, 1, 0), -2): (8, 78)
(10, 1, 1, (0, 1, 0), -1): (101, 350)
(10, 1, 1, (0, 1, 0), 0): (1519, 2081)
(10, 1, 1, (0, 1, 1), -8): (0, 1)
(10, 1, 1, (0, 1, 1), -6): (0, 3)
(10, 1, 1, (0, 1, 1), -5): (0, 2)
(10, 1, 1, (0, 1, 1), -4): (0, 6)
(10, 1, 1, (0, 1, 1), -3): (0, 10)
(10, 1, 1, (0, 1, 1), -2): (9, 31)
(10, 1, 1, (0, 1, 1), -1): (45, 77)
(10, 1, 1, (0, 1, 1), 0): (327, 385)
(10, 1, 1, (1, 0, 0), -9): (0, 1)
(10, 1, 1, (1, 0, 0), -8): (0, 3)
(10, 1, 1, (1, 0, 0), -7): (0, 5)
(10, 1, 1, (1, 0, 0), -6): (0, 12)
(10, 1, 1, (1, 0, 0), -5): (0, 34)
(10, 1, 1, (1, 0, 0), -4): (1, 62)
(10, 1, 1, (1, 0, 0), -3): (7, 145)
(10, 1, 1, (1, 0, 0), -2): (18, 291)
(10, 1, 1, (1, 0, 0), -1): (122, 593)
(10, 1, 1, (1, 0, 0), 0): (2141, 3208)
(10, 1, 1, (1, 0, 1), -8): (0, 1)
(10, 1, 1, (1, 0, 1), -7): (0, 1)
(10, 1, 1, (1, 0, 1), -6): (0, 2)
(10, 1, 1, (1, 0, 1), -5): (0, 3)
(10, 1, 1, (1, 0, 1), -4): (2, 11)
(10, 1, 1, (1, 0, 1), -3): (4, 17)
(10, 1, 1, (1, 0, 1), -2): (12, 34)
(10, 1, 1, (1, 0, 1), -1): (49, 88)
(10, 1, 1, (1, 0, 1), 0): (476, 580)
(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, 2)
(10, 1, 1, (1, 1, 0), -6): (0, 3)
(10, 1, 1, (1, 1, 0), -5): (0, 12)
(10, 1, 1, (1, 1, 0), -4): (0, 24)
(10, 1, 1, (1, 1, 0), -3): (9, 58)
(10, 1, 1, (1, 1, 0), -2): (11, 105)
(10, 1, 1, (1, 1, 0), -1): (79, 212)
(10, 1, 1, (1, 1, 0), 0): (1213, 1653)
(10, 1, 1, (1, 1, 1), -5): (0, 5)
(10, 1, 1, (1, 1, 1), -4): (0, 4)
(10, 1, 1, (1, 1, 1), -3): (2, 15)
(10, 1, 1, (1, 1, 1), -2): (6, 29)
(10, 1, 1, (1, 1, 1), -1): (51, 89)
(10, 1, 1, (1, 1, 1), 0): (760, 899)
(10, 1, 2, (0, 0, 0), -9): (0, 2)
(10, 1, 2, (0, 0, 0), -8): (0, 4)
(10, 1, 2, (0, 0, 0), -7): (0, 5)
(10, 1, 2, (0, 0, 0), -6): (0, 24)
(10, 1, 2, (0, 0, 0), -5): (1, 43)
(10, 1, 2, (0, 0, 0), -4): (1, 113)
(10, 1, 2, (0, 0, 0), -3): (2, 255)
(10, 1, 2, (0, 0, 0), -2): (11, 545)
(10, 1, 2, (0, 0, 0), -1): (52, 1170)
(10, 1, 2, (0, 0, 0), 0): (3132, 5664)
(10, 1, 2, (0, 0, 1), -7): (0, 1)
(10, 1, 2, (0, 0, 1), -6): (0, 2)
(10, 1, 2, (0, 0, 1), -5): (0, 4)
(10, 1, 2, (0, 0, 1), -4): (0, 11)
(10, 1, 2, (0, 0, 1), -3): (0, 29)
(10, 1, 2, (0, 0, 1), -2): (0, 34)
(10, 1, 2, (0, 0, 1), -1): (12, 101)
(10, 1, 2, (0, 0, 1), 0): (300, 438)
(10, 1, 2, (0, 1, 0), -8): (0, 1)
(10, 1, 2, (0, 1, 0), -7): (0, 2)
(10, 1, 2, (0, 1, 0), -6): (0, 3)
(10, 1, 2, (0, 1, 0), -5): (0, 11)
(10, 1, 2, (0, 1, 0), -4): (0, 26)
(10, 1, 2, (0, 1, 0), -3): (0, 59)
(10, 1, 2, (0, 1, 0), -2): (5, 137)
(10, 1, 2, (0, 1, 0), -1): (44, 295)
(10, 1, 2, (0, 1, 0), 0): (898, 1485)
(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, 2)
(10, 1, 2, (0, 1, 1), -5): (1, 5)
(10, 1, 2, (0, 1, 1), -4): (0, 7)
(10, 1, 2, (0, 1, 1), -3): (0, 11)
(10, 1, 2, (0, 1, 1), -2): (3, 33)
(10, 1, 2, (0, 1, 1), -1): (14, 52)
(10, 1, 2, (0, 1, 1), 0): (279, 426)
(10, 1, 2, (1, 0, 0), -8): (0, 3)
(10, 1, 2, (1, 0, 0), -7): (0, 5)
(10, 1, 2, (1, 0, 0), -6): (0, 12)
(10, 1, 2, (1, 0, 0), -5): (1, 31)
(10, 1, 2, (1, 0, 0), -4): (0, 54)
(10, 1, 2, (1, 0, 0), -3): (2, 126)
(10, 1, 2, (1, 0, 0), -2): (11, 289)
(10, 1, 2, (1, 0, 0), -1): (52, 602)
(10, 1, 2, (1, 0, 0), 0): (1672, 2781)
(10, 1, 2, (1, 0, 1), -7): (0, 1)
(10, 1, 2, (1, 0, 1), -6): (0, 3)
(10, 1, 2, (1, 0, 1), -5): (1, 3)
(10, 1, 2, (1, 0, 1), -4): (0, 9)
(10, 1, 2, (1, 0, 1), -3): (1, 17)
(10, 1, 2, (1, 0, 1), -2): (2, 51)
(10, 1, 2, (1, 0, 1), -1): (22, 113)
(10, 1, 2, (1, 0, 1), 0): (427, 627)
(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, 3)
(10, 1, 2, (1, 1, 0), -7): (0, 3)
(10, 1, 2, (1, 1, 0), -6): (0, 3)
(10, 1, 2, (1, 1, 0), -5): (0, 11)
(10, 1, 2, (1, 1, 0), -4): (0, 19)
(10, 1, 2, (1, 1, 0), -3): (3, 58)
(10, 1, 2, (1, 1, 0), -2): (7, 117)
(10, 1, 2, (1, 1, 0), -1): (45, 266)
(10, 1, 2, (1, 1, 0), 0): (1059, 1699)
(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): (1, 7)
(10, 1, 2, (1, 1, 1), -4): (1, 11)
(10, 1, 2, (1, 1, 1), -3): (2, 18)
(10, 1, 2, (1, 1, 1), -2): (4, 42)
(10, 1, 2, (1, 1, 1), -1): (21, 93)
(10, 1, 2, (1, 1, 1), 0): (555, 824)
(11, 0, 0, (0, 0, 0), 0): (4289, 9019)
(11, 0, 0, (0, 0, 0), 1): (163, 187)
(11, 0, 0, (0, 0, 0), 2): (41, 41)
(11, 0, 0, (0, 0, 0), 3): (13, 13)
(11, 0, 0, (0, 0, 0), 4): (5, 6)
(11, 0, 0, (0, 0, 0), 5): (1, 1)
(11, 0, 0, (0, 0, 1), 0): (58, 74)
(11, 0, 0, (0, 0, 1), 1): (17, 17)
(11, 0, 0, (0, 0, 1), 2): (4, 4)
(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): (351, 492)
(11, 0, 0, (0, 1, 0), 1): (49, 53)
(11, 0, 0, (0, 1, 0), 2): (12, 14)
(11, 0, 0, (0, 1, 0), 3): (2, 2)
(11, 0, 0, (0, 1, 0), 4): (1, 1)
(11, 0, 0, (0, 1, 0), 5): (2, 2)
(11, 0, 0, (0, 1, 1), 0): (44, 59)
(11, 0, 0, (0, 1, 1), 1): (24, 26)
(11, 0, 0, (0, 1, 1), 2): (6, 6)
(11, 0, 0, (0, 1, 1), 3): (4, 5)
(11, 0, 0, (0, 1, 1), 4): (3, 3)
(11, 0, 0, (1, 0, 0), 0): (1310, 2385)
(11, 0, 0, (1, 0, 0), 1): (67, 74)
(11, 0, 0, (1, 0, 0), 2): (16, 17)
(11, 0, 0, (1, 0, 0), 3): (6, 6)
(11, 0, 0, (1, 0, 0), 4): (4, 4)
(11, 0, 0, (1, 0, 0), 6): (1, 1)
(11, 0, 0, (1, 0, 1), 0): (116, 150)
(11, 0, 0, (1, 0, 1), 1): (20, 22)
(11, 0, 0, (1, 0, 1), 2): (7, 7)
(11, 0, 0, (1, 0, 1), 3): (3, 3)
(11, 0, 0, (1, 0, 1), 4): (2, 2)
(11, 0, 0, (1, 1, 0), 0): (243, 368)
(11, 0, 0, (1, 1, 0), 1): (36, 42)
(11, 0, 0, (1, 1, 0), 2): (8, 9)
(11, 0, 0, (1, 1, 0), 3): (3, 3)
(11, 0, 0, (1, 1, 1), 0): (72, 92)
(11, 0, 0, (1, 1, 1), 1): (35, 36)
(11, 0, 0, (1, 1, 1), 2): (5, 5)
(11, 0, 0, (1, 1, 1), 3): (2, 2)
(11, 0, 0, (1, 1, 1), 4): (2, 2)
(11, 0, 0, (1, 1, 1), 5): (2, 2)
(11, 0, 1, (0, 0, 0), 0): (2553, 6105)
(11, 0, 1, (0, 0, 0), 1): (213, 246)
(11, 0, 1, (0, 0, 0), 2): (102, 108)
(11, 0, 1, (0, 0, 0), 3): (43, 43)
(11, 0, 1, (0, 0, 0), 4): (24, 25)
(11, 0, 1, (0, 0, 0), 5): (9, 9)
(11, 0, 1, (0, 0, 0), 6): (1, 1)
(11, 0, 1, (0, 0, 0), 7): (2, 2)
(11, 0, 1, (0, 0, 0), 8): (1, 1)
(11, 0, 1, (0, 0, 1), 0): (195, 278)
(11, 0, 1, (0, 0, 1), 1): (66, 72)
(11, 0, 1, (0, 0, 1), 2): (26, 28)
(11, 0, 1, (0, 0, 1), 3): (8, 8)
(11, 0, 1, (0, 0, 1), 4): (5, 5)
(11, 0, 1, (0, 0, 1), 5): (6, 6)
(11, 0, 1, (0, 0, 1), 6): (1, 1)
(11, 0, 1, (0, 1, 0), 0): (742, 1351)
(11, 0, 1, (0, 1, 0), 1): (163, 196)
(11, 0, 1, (0, 1, 0), 2): (64, 68)
(11, 0, 1, (0, 1, 0), 3): (23, 24)
(11, 0, 1, (0, 1, 0), 4): (9, 9)
(11, 0, 1, (0, 1, 0), 5): (2, 2)
(11, 0, 1, (0, 1, 0), 7): (1, 1)
(11, 0, 1, (0, 1, 1), 0): (170, 235)
(11, 0, 1, (0, 1, 1), 1): (93, 100)
(11, 0, 1, (0, 1, 1), 2): (44, 44)
(11, 0, 1, (0, 1, 1), 3): (14, 15)
(11, 0, 1, (0, 1, 1), 4): (9, 9)
(11, 0, 1, (0, 1, 1), 5): (2, 2)
(11, 0, 1, (0, 1, 1), 7): (1, 1)
(11, 0, 1, (1, 0, 0), 0): (1116, 2347)
(11, 0, 1, (1, 0, 0), 1): (177, 211)
(11, 0, 1, (1, 0, 0), 2): (58, 63)
(11, 0, 1, (1, 0, 0), 3): (33, 33)
(11, 0, 1, (1, 0, 0), 4): (17, 17)
(11, 0, 1, (1, 0, 0), 5): (5, 5)
(11, 0, 1, (1, 0, 0), 6): (4, 4)
(11, 0, 1, (1, 0, 0), 7): (1, 1)
(11, 0, 1, (1, 0, 1), 0): (250, 353)
(11, 0, 1, (1, 0, 1), 1): (90, 101)
(11, 0, 1, (1, 0, 1), 2): (44, 44)
(11, 0, 1, (1, 0, 1), 3): (20, 21)
(11, 0, 1, (1, 0, 1), 4): (4, 4)
(11, 0, 1, (1, 0, 1), 5): (5, 5)
(11, 0, 1, (1, 0, 1), 6): (2, 2)
(11, 0, 1, (1, 0, 1), 7): (1, 1)
(11, 0, 1, (1, 1, 0), 0): (482, 853)
(11, 0, 1, (1, 1, 0), 1): (179, 202)
(11, 0, 1, (1, 1, 0), 2): (56, 60)
(11, 0, 1, (1, 1, 0), 3): (21, 21)
(11, 0, 1, (1, 1, 0), 4): (14, 14)
(11, 0, 1, (1, 1, 0), 5): (4, 4)
(11, 0, 1, (1, 1, 0), 6): (2, 2)
(11, 0, 1, (1, 1, 1), 0): (217, 302)
(11, 0, 1, (1, 1, 1), 1): (137, 145)
(11, 0, 1, (1, 1, 1), 2): (47, 47)
(11, 0, 1, (1, 1, 1), 3): (18, 19)
(11, 0, 1, (1, 1, 1), 4): (10, 10)
(11, 0, 1, (1, 1, 1), 5): (8, 8)
(11, 0, 2, (0, 0, 0), 0): (1640, 4408)
(11, 0, 2, (0, 0, 0), 1): (273, 319)
(11, 0, 2, (0, 0, 0), 2): (158, 163)
(11, 0, 2, (0, 0, 0), 3): (72, 76)
(11, 0, 2, (0, 0, 0), 4): (42, 43)
(11, 0, 2, (0, 0, 0), 5): (18, 19)
(11, 0, 2, (0, 0, 0), 6): (11, 11)
(11, 0, 2, (0, 0, 0), 7): (3, 3)
(11, 0, 2, (0, 0, 0), 8): (3, 3)
(11, 0, 2, (0, 0, 1), 0): (177, 365)
(11, 0, 2, (0, 0, 1), 1): (105, 121)
(11, 0, 2, (0, 0, 1), 2): (60, 65)
(11, 0, 2, (0, 0, 1), 3): (25, 25)
(11, 0, 2, (0, 0, 1), 4): (18, 18)
(11, 0, 2, (0, 0, 1), 5): (12, 12)
(11, 0, 2, (0, 0, 1), 6): (2, 2)
(11, 0, 2, (0, 0, 1), 7): (2, 2)
(11, 0, 2, (0, 0, 1), 8): (1, 1)
(11, 0, 2, (0, 1, 0), 0): (491, 1089)
(11, 0, 2, (0, 1, 0), 1): (218, 259)
(11, 0, 2, (0, 1, 0), 2): (133, 147)
(11, 0, 2, (0, 1, 0), 3): (65, 68)
(11, 0, 2, (0, 1, 0), 4): (29, 29)
(11, 0, 2, (0, 1, 0), 5): (10, 10)
(11, 0, 2, (0, 1, 0), 6): (3, 3)
(11, 0, 2, (0, 1, 0), 7): (4, 4)
(11, 0, 2, (0, 1, 0), 8): (2, 2)
(11, 0, 2, (0, 1, 1), 0): (103, 195)
(11, 0, 2, (0, 1, 1), 1): (99, 118)
(11, 0, 2, (0, 1, 1), 2): (53, 58)
(11, 0, 2, (0, 1, 1), 3): (21, 23)
(11, 0, 2, (0, 1, 1), 4): (11, 11)
(11, 0, 2, (0, 1, 1), 5): (6, 6)
(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): (856, 2125)
(11, 0, 2, (1, 0, 0), 1): (255, 322)
(11, 0, 2, (1, 0, 0), 2): (127, 134)
(11, 0, 2, (1, 0, 0), 3): (64, 67)
(11, 0, 2, (1, 0, 0), 4): (34, 35)
(11, 0, 2, (1, 0, 0), 5): (17, 17)
(11, 0, 2, (1, 0, 0), 6): (14, 14)
(11, 0, 2, (1, 0, 0), 7): (4, 4)
(11, 0, 2, (1, 0, 0), 8): (1, 1)
(11, 0, 2, (1, 0, 0), 9): (1, 1)
(11, 0, 2, (1, 0, 1), 0): (218, 427)
(11, 0, 2, (1, 0, 1), 1): (143, 169)
(11, 0, 2, (1, 0, 1), 2): (88, 92)
(11, 0, 2, (1, 0, 1), 3): (42, 44)
(11, 0, 2, (1, 0, 1), 4): (12, 12)
(11, 0, 2, (1, 0, 1), 5): (13, 13)
(11, 0, 2, (1, 0, 1), 6): (5, 5)
(11, 0, 2, (1, 0, 1), 7): (2, 2)
(11, 0, 2, (1, 1, 0), 0): (492, 1058)
(11, 0, 2, (1, 1, 0), 1): (263, 310)
(11, 0, 2, (1, 1, 0), 2): (128, 139)
(11, 0, 2, (1, 1, 0), 3): (55, 57)
(11, 0, 2, (1, 1, 0), 4): (31, 31)
(11, 0, 2, (1, 1, 0), 5): (9, 9)
(11, 0, 2, (1, 1, 0), 6): (8, 8)
(11, 0, 2, (1, 1, 0), 7): (3, 3)
(11, 0, 2, (1, 1, 0), 8): (1, 1)
(11, 0, 2, (1, 1, 1), 0): (179, 354)
(11, 0, 2, (1, 1, 1), 1): (117, 142)
(11, 0, 2, (1, 1, 1), 2): (73, 78)
(11, 0, 2, (1, 1, 1), 3): (16, 18)
(11, 0, 2, (1, 1, 1), 4): (14, 14)
(11, 0, 2, (1, 1, 1), 5): (5, 5)
(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, 6)
(11, 1, 0, (0, 0, 0), -7): (0, 13)
(11, 1, 0, (0, 0, 0), -6): (0, 33)
(11, 1, 0, (0, 0, 0), -5): (1, 58)
(11, 1, 0, (0, 0, 0), -4): (1, 117)
(11, 1, 0, (0, 0, 0), -3): (13, 250)
(11, 1, 0, (0, 0, 0), -2): (36, 604)
(11, 1, 0, (0, 0, 0), -1): (220, 1239)
(11, 1, 0, (0, 0, 0), 0): (4480, 6746)
(11, 1, 0, (0, 0, 1), -6): (0, 1)
(11, 1, 0, (0, 0, 1), -5): (0, 1)
(11, 1, 0, (0, 0, 1), -3): (0, 4)
(11, 1, 0, (0, 0, 1), -2): (1, 5)
(11, 1, 0, (0, 0, 1), -1): (5, 9)
(11, 1, 0, (0, 0, 1), 0): (75, 83)
(11, 1, 0, (0, 1, 0), -6): (0, 2)
(11, 1, 0, (0, 1, 0), -5): (0, 3)
(11, 1, 0, (0, 1, 0), -4): (0, 9)
(11, 1, 0, (0, 1, 0), -3): (4, 17)
(11, 1, 0, (0, 1, 0), -2): (4, 30)
(11, 1, 0, (0, 1, 0), -1): (36, 75)
(11, 1, 0, (0, 1, 0), 0): (327, 395)
(11, 1, 0, (0, 1, 1), -5): (0, 1)
(11, 1, 0, (0, 1, 1), -4): (0, 1)
(11, 1, 0, (0, 1, 1), -3): (1, 2)
(11, 1, 0, (0, 1, 1), -2): (3, 11)
(11, 1, 0, (0, 1, 1), -1): (8, 8)
(11, 1, 0, (0, 1, 1), 0): (61, 65)
(11, 1, 0, (1, 0, 0), -9): (0, 1)
(11, 1, 0, (1, 0, 0), -8): (0, 3)
(11, 1, 0, (1, 0, 0), -7): (0, 4)
(11, 1, 0, (1, 0, 0), -6): (0, 6)
(11, 1, 0, (1, 0, 0), -5): (1, 20)
(11, 1, 0, (1, 0, 0), -4): (1, 42)
(11, 1, 0, (1, 0, 0), -3): (8, 70)
(11, 1, 0, (1, 0, 0), -2): (20, 169)
(11, 1, 0, (1, 0, 0), -1): (105, 345)
(11, 1, 0, (1, 0, 0), 0): (1369, 1885)
(11, 1, 0, (1, 0, 1), -9): (0, 1)
(11, 1, 0, (1, 0, 1), -4): (0, 2)
(11, 1, 0, (1, 0, 1), -3): (1, 3)
(11, 1, 0, (1, 0, 1), -2): (3, 11)
(11, 1, 0, (1, 0, 1), -1): (16, 24)
(11, 1, 0, (1, 0, 1), 0): (135, 150)
(11, 1, 0, (1, 1, 0), -7): (0, 3)
(11, 1, 0, (1, 1, 0), -6): (0, 1)
(11, 1, 0, (1, 1, 0), -5): (1, 4)
(11, 1, 0, (1, 1, 0), -4): (1, 14)
(11, 1, 0, (1, 1, 0), -3): (5, 16)
(11, 1, 0, (1, 1, 0), -2): (9, 49)
(11, 1, 0, (1, 1, 0), -1): (29, 58)
(11, 1, 0, (1, 1, 0), 0): (332, 403)
(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, 3)
(11, 1, 0, (1, 1, 1), -3): (0, 1)
(11, 1, 0, (1, 1, 1), -2): (2, 5)
(11, 1, 0, (1, 1, 1), -1): (13, 15)
(11, 1, 0, (1, 1, 1), 0): (200, 216)
(11, 1, 1, (0, 0, 0), -8): (0, 3)
(11, 1, 1, (0, 0, 0), -7): (0, 9)
(11, 1, 1, (0, 0, 0), -6): (0, 23)
(11, 1, 1, (0, 0, 0), -5): (0, 37)
(11, 1, 1, (0, 0, 0), -4): (0, 72)
(11, 1, 1, (0, 0, 0), -3): (1, 165)
(11, 1, 1, (0, 0, 0), -2): (12, 400)
(11, 1, 1, (0, 0, 0), -1): (69, 833)
(11, 1, 1, (0, 0, 0), 0): (2707, 4430)
(11, 1, 1, (0, 0, 1), -8): (0, 1)
(11, 1, 1, (0, 0, 1), -7): (0, 1)
(11, 1, 1, (0, 0, 1), -6): (0, 1)
(11, 1, 1, (0, 0, 1), -5): (0, 2)
(11, 1, 1, (0, 0, 1), -4): (0, 5)
(11, 1, 1, (0, 0, 1), -3): (1, 11)
(11, 1, 1, (0, 0, 1), -2): (2, 18)
(11, 1, 1, (0, 0, 1), -1): (20, 40)
(11, 1, 1, (0, 0, 1), 0): (168, 206)
(11, 1, 1, (0, 1, 0), -8): (0, 2)
(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, 4)
(11, 1, 1, (0, 1, 0), -4): (0, 9)
(11, 1, 1, (0, 1, 0), -3): (0, 23)
(11, 1, 1, (0, 1, 0), -2): (3, 61)
(11, 1, 1, (0, 1, 0), -1): (49, 196)
(11, 1, 1, (0, 1, 0), 0): (840, 1162)
(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, 4)
(11, 1, 1, (0, 1, 1), -3): (0, 4)
(11, 1, 1, (0, 1, 1), -2): (6, 32)
(11, 1, 1, (0, 1, 1), -1): (17, 38)
(11, 1, 1, (0, 1, 1), 0): (179, 220)
(11, 1, 1, (1, 0, 0), -8): (0, 3)
(11, 1, 1, (1, 0, 0), -7): (0, 3)
(11, 1, 1, (1, 0, 0), -6): (0, 10)
(11, 1, 1, (1, 0, 0), -5): (0, 18)
(11, 1, 1, (1, 0, 0), -4): (0, 41)
(11, 1, 1, (1, 0, 0), -3): (6, 75)
(11, 1, 1, (1, 0, 0), -2): (12, 172)
(11, 1, 1, (1, 0, 0), -1): (55, 333)
(11, 1, 1, (1, 0, 0), 0): (1193, 1803)
(11, 1, 1, (1, 0, 1), -8): (0, 2)
(11, 1, 1, (1, 0, 1), -6): (0, 1)
(11, 1, 1, (1, 0, 1), -5): (0, 3)
(11, 1, 1, (1, 0, 1), -4): (0, 5)
(11, 1, 1, (1, 0, 1), -3): (2, 9)
(11, 1, 1, (1, 0, 1), -2): (3, 21)
(11, 1, 1, (1, 0, 1), -1): (19, 50)
(11, 1, 1, (1, 0, 1), 0): (273, 320)
(11, 1, 1, (1, 1, 0), -7): (0, 5)
(11, 1, 1, (1, 1, 0), -6): (0, 2)
(11, 1, 1, (1, 1, 0), -5): (0, 9)
(11, 1, 1, (1, 1, 0), -4): (0, 20)
(11, 1, 1, (1, 1, 0), -3): (5, 21)
(11, 1, 1, (1, 1, 0), -2): (9, 67)
(11, 1, 1, (1, 1, 0), -1): (35, 95)
(11, 1, 1, (1, 1, 0), 0): (669, 927)
(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, 3)
(11, 1, 1, (1, 1, 1), -3): (3, 4)
(11, 1, 1, (1, 1, 1), -2): (1, 12)
(11, 1, 1, (1, 1, 1), -1): (22, 40)
(11, 1, 1, (1, 1, 1), 0): (416, 497)
(11, 1, 2, (0, 0, 0), -8): (0, 2)
(11, 1, 2, (0, 0, 0), -7): (0, 7)
(11, 1, 2, (0, 0, 0), -6): (0, 17)
(11, 1, 2, (0, 0, 0), -5): (0, 28)
(11, 1, 2, (0, 0, 0), -4): (0, 47)
(11, 1, 2, (0, 0, 0), -3): (0, 132)
(11, 1, 2, (0, 0, 0), -2): (6, 310)
(11, 1, 2, (0, 0, 0), -1): (16, 619)
(11, 1, 2, (0, 0, 0), 0): (1705, 3033)
(11, 1, 2, (0, 0, 1), -7): (0, 2)
(11, 1, 2, (0, 0, 1), -6): (0, 1)
(11, 1, 2, (0, 0, 1), -5): (0, 3)
(11, 1, 2, (0, 0, 1), -4): (0, 8)
(11, 1, 2, (0, 0, 1), -3): (0, 13)
(11, 1, 2, (0, 0, 1), -2): (0, 20)
(11, 1, 2, (0, 0, 1), -1): (12, 68)
(11, 1, 2, (0, 0, 1), 0): (143, 233)
(11, 1, 2, (0, 1, 0), -8): (0, 2)
(11, 1, 2, (0, 1, 0), -6): (0, 2)
(11, 1, 2, (0, 1, 0), -5): (0, 9)
(11, 1, 2, (0, 1, 0), -4): (0, 13)
(11, 1, 2, (0, 1, 0), -3): (0, 42)
(11, 1, 2, (0, 1, 0), -2): (1, 72)
(11, 1, 2, (0, 1, 0), -1): (17, 171)
(11, 1, 2, (0, 1, 0), 0): (535, 824)
(11, 1, 2, (0, 1, 1), -6): (0, 1)
(11, 1, 2, (0, 1, 1), -5): (0, 1)
(11, 1, 2, (0, 1, 1), -4): (0, 6)
(11, 1, 2, (0, 1, 1), -3): (0, 8)
(11, 1, 2, (0, 1, 1), -2): (3, 16)
(11, 1, 2, (0, 1, 1), -1): (6, 23)
(11, 1, 2, (0, 1, 1), 0): (157, 256)
(11, 1, 2, (1, 0, 0), -7): (0, 2)
(11, 1, 2, (1, 0, 0), -6): (0, 8)
(11, 1, 2, (1, 0, 0), -5): (0, 18)
(11, 1, 2, (1, 0, 0), -4): (0, 30)
(11, 1, 2, (1, 0, 0), -3): (0, 88)
(11, 1, 2, (1, 0, 0), -2): (8, 177)
(11, 1, 2, (1, 0, 0), -1): (22, 355)
(11, 1, 2, (1, 0, 0), 0): (933, 1603)
(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, 12)
(11, 1, 2, (1, 0, 1), -2): (2, 26)
(11, 1, 2, (1, 0, 1), -1): (14, 71)
(11, 1, 2, (1, 0, 1), 0): (245, 376)
(11, 1, 2, (1, 1, 0), -7): (0, 3)
(11, 1, 2, (1, 1, 0), -6): (0, 2)
(11, 1, 2, (1, 1, 0), -5): (0, 8)
(11, 1, 2, (1, 1, 0), -4): (0, 15)
(11, 1, 2, (1, 1, 0), -3): (1, 27)
(11, 1, 2, (1, 1, 0), -2): (6, 67)
(11, 1, 2, (1, 1, 0), -1): (15, 151)
(11, 1, 2, (1, 1, 0), 0): (587, 924)
(11, 1, 2, (1, 1, 1), -7): (0, 1)
(11, 1, 2, (1, 1, 1), -5): (0, 3)
(11, 1, 2, (1, 1, 1), -4): (0, 3)
(11, 1, 2, (1, 1, 1), -3): (1, 6)
(11, 1, 2, (1, 1, 1), -2): (2, 17)
(11, 1, 2, (1, 1, 1), -1): (11, 39)
(11, 1, 2, (1, 1, 1), 0): (335, 493)
(12, 0, 0, (0, 0, 0), 0): (2354, 4965)
(12, 0, 0, (0, 0, 0), 1): (86, 100)
(12, 0, 0, (0, 0, 0), 2): (14, 16)
(12, 0, 0, (0, 0, 0), 3): (4, 4)
(12, 0, 0, (0, 0, 0), 4): (2, 2)
(12, 0, 0, (0, 0, 0), 5): (1, 1)
(12, 0, 0, (0, 0, 1), 0): (38, 47)
(12, 0, 0, (0, 0, 1), 1): (15, 16)
(12, 0, 0, (0, 0, 1), 2): (3, 3)
(12, 0, 0, (0, 0, 1), 3): (1, 1)
(12, 0, 0, (0, 0, 1), 4): (2, 2)
(12, 0, 0, (0, 0, 1), 5): (1, 1)
(12, 0, 0, (0, 1, 0), 0): (220, 334)
(12, 0, 0, (0, 1, 0), 1): (24, 28)
(12, 0, 0, (0, 1, 0), 2): (11, 11)
(12, 0, 0, (0, 1, 0), 3): (1, 1)
(12, 0, 0, (0, 1, 1), 0): (32, 41)
(12, 0, 0, (0, 1, 1), 1): (12, 12)
(12, 0, 0, (0, 1, 1), 2): (4, 4)
(12, 0, 0, (0, 1, 1), 5): (1, 1)
(12, 0, 0, (1, 0, 0), 0): (769, 1380)
(12, 0, 0, (1, 0, 0), 1): (36, 42)
(12, 0, 0, (1, 0, 0), 2): (12, 12)
(12, 0, 0, (1, 0, 0), 6): (1, 1)
(12, 0, 0, (1, 0, 0), 7): (1, 1)
(12, 0, 0, (1, 0, 1), 0): (63, 78)
(12, 0, 0, (1, 0, 1), 1): (17, 18)
(12, 0, 0, (1, 0, 1), 2): (8, 8)
(12, 0, 0, (1, 0, 1), 3): (2, 2)
(12, 0, 0, (1, 1, 0), 0): (142, 211)
(12, 0, 0, (1, 1, 0), 1): (20, 21)
(12, 0, 0, (1, 1, 0), 2): (8, 8)
(12, 0, 0, (1, 1, 0), 3): (2, 2)
(12, 0, 0, (1, 1, 0), 4): (1, 1)
(12, 0, 0, (1, 1, 0), 6): (1, 1)
(12, 0, 0, (1, 1, 0), 7): (1, 1)
(12, 0, 0, (1, 1, 1), 0): (43, 57)
(12, 0, 0, (1, 1, 1), 1): (16, 16)
(12, 0, 0, (1, 1, 1), 2): (8, 8)
(12, 0, 0, (1, 1, 1), 3): (1, 1)
(12, 0, 1, (0, 0, 0), 0): (1327, 3244)
(12, 0, 1, (0, 0, 0), 1): (129, 148)
(12, 0, 1, (0, 0, 0), 2): (37, 47)
(12, 0, 1, (0, 0, 0), 3): (23, 23)
(12, 0, 1, (0, 0, 0), 4): (9, 9)
(12, 0, 1, (0, 0, 0), 5): (5, 5)
(12, 0, 1, (0, 0, 1), 0): (112, 166)
(12, 0, 1, (0, 0, 1), 1): (41, 48)
(12, 0, 1, (0, 0, 1), 2): (17, 18)
(12, 0, 1, (0, 0, 1), 3): (8, 8)
(12, 0, 1, (0, 0, 1), 4): (5, 5)
(12, 0, 1, (0, 0, 1), 5): (1, 1)
(12, 0, 1, (0, 0, 1), 6): (1, 1)
(12, 0, 1, (0, 1, 0), 0): (430, 764)
(12, 0, 1, (0, 1, 0), 1): (84, 98)
(12, 0, 1, (0, 1, 0), 2): (30, 34)
(12, 0, 1, (0, 1, 0), 3): (6, 6)
(12, 0, 1, (0, 1, 0), 4): (7, 7)
(12, 0, 1, (0, 1, 0), 5): (4, 4)
(12, 0, 1, (0, 1, 0), 7): (1, 1)
(12, 0, 1, (0, 1, 0), 9): (1, 1)
(12, 0, 1, (0, 1, 1), 0): (107, 152)
(12, 0, 1, (0, 1, 1), 1): (41, 43)
(12, 0, 1, (0, 1, 1), 2): (29, 29)
(12, 0, 1, (0, 1, 1), 3): (5, 5)
(12, 0, 1, (0, 1, 1), 4): (1, 1)
(12, 0, 1, (0, 1, 1), 5): (2, 2)
(12, 0, 1, (0, 1, 1), 6): (1, 1)
(12, 0, 1, (1, 0, 0), 0): (603, 1319)
(12, 0, 1, (1, 0, 0), 1): (104, 119)
(12, 0, 1, (1, 0, 0), 2): (34, 35)
(12, 0, 1, (1, 0, 0), 3): (9, 9)
(12, 0, 1, (1, 0, 0), 4): (5, 5)
(12, 0, 1, (1, 0, 0), 5): (2, 2)
(12, 0, 1, (1, 0, 0), 7): (1, 1)
(12, 0, 1, (1, 0, 0), 8): (1, 1)
(12, 0, 1, (1, 0, 1), 0): (135, 204)
(12, 0, 1, (1, 0, 1), 1): (49, 57)
(12, 0, 1, (1, 0, 1), 2): (24, 26)
(12, 0, 1, (1, 0, 1), 3): (9, 9)
(12, 0, 1, (1, 0, 1), 4): (2, 2)
(12, 0, 1, (1, 0, 1), 5): (1, 1)
(12, 0, 1, (1, 1, 0), 0): (288, 492)
(12, 0, 1, (1, 1, 0), 1): (94, 107)
(12, 0, 1, (1, 1, 0), 2): (34, 39)
(12, 0, 1, (1, 1, 0), 3): (10, 10)
(12, 0, 1, (1, 1, 0), 4): (7, 7)
(12, 0, 1, (1, 1, 0), 5): (1, 1)
(12, 0, 1, (1, 1, 0), 6): (1, 1)
(12, 0, 1, (1, 1, 1), 0): (138, 189)
(12, 0, 1, (1, 1, 1), 1): (75, 79)
(12, 0, 1, (1, 1, 1), 2): (39, 42)
(12, 0, 1, (1, 1, 1), 3): (7, 7)
(12, 0, 1, (1, 1, 1), 4): (2, 2)
(12, 0, 2, (0, 0, 0), 0): (861, 2341)
(12, 0, 2, (0, 0, 0), 1): (151, 174)
(12, 0, 2, (0, 0, 0), 2): (73, 84)
(12, 0, 2, (0, 0, 0), 3): (43, 44)
(12, 0, 2, (0, 0, 0), 4): (14, 14)
(12, 0, 2, (0, 0, 0), 5): (8, 8)
(12, 0, 2, (0, 0, 0), 6): (4, 4)
(12, 0, 2, (0, 0, 0), 7): (1, 1)
(12, 0, 2, (0, 0, 0), 8): (3, 3)
(12, 0, 2, (0, 0, 1), 0): (107, 211)
(12, 0, 2, (0, 0, 1), 1): (49, 61)
(12, 0, 2, (0, 0, 1), 2): (27, 30)
(12, 0, 2, (0, 0, 1), 3): (19, 21)
(12, 0, 2, (0, 0, 1), 4): (10, 11)
(12, 0, 2, (0, 0, 1), 5): (4, 4)
(12, 0, 2, (0, 0, 1), 6): (4, 4)
(12, 0, 2, (0, 1, 0), 0): (260, 605)
(12, 0, 2, (0, 1, 0), 1): (134, 169)
(12, 0, 2, (0, 1, 0), 2): (80, 85)
(12, 0, 2, (0, 1, 0), 3): (34, 34)
(12, 0, 2, (0, 1, 0), 4): (16, 16)
(12, 0, 2, (0, 1, 0), 5): (7, 7)
(12, 0, 2, (0, 1, 0), 6): (3, 3)
(12, 0, 2, (0, 1, 0), 7): (2, 2)
(12, 0, 2, (0, 1, 0), 9): (1, 1)
(12, 0, 2, (0, 1, 0), 11): (1, 1)
(12, 0, 2, (0, 1, 1), 0): (67, 127)
(12, 0, 2, (0, 1, 1), 1): (56, 64)
(12, 0, 2, (0, 1, 1), 2): (31, 32)
(12, 0, 2, (0, 1, 1), 3): (13, 14)
(12, 0, 2, (0, 1, 1), 4): (3, 3)
(12, 0, 2, (0, 1, 1), 5): (1, 1)
(12, 0, 2, (0, 1, 1), 6): (1, 1)
(12, 0, 2, (0, 1, 1), 7): (1, 1)
(12, 0, 2, (1, 0, 0), 0): (444, 1138)
(12, 0, 2, (1, 0, 0), 1): (154, 191)
(12, 0, 2, (1, 0, 0), 2): (71, 76)
(12, 0, 2, (1, 0, 0), 3): (25, 26)
(12, 0, 2, (1, 0, 0), 4): (17, 17)
(12, 0, 2, (1, 0, 0), 5): (6, 6)
(12, 0, 2, (1, 0, 0), 6): (4, 4)
(12, 0, 2, (1, 0, 0), 7): (2, 2)
(12, 0, 2, (1, 0, 0), 8): (1, 1)
(12, 0, 2, (1, 0, 0), 9): (1, 1)
(12, 0, 2, (1, 0, 0), 10): (1, 1)
(12, 0, 2, (1, 0, 1), 0): (105, 237)
(12, 0, 2, (1, 0, 1), 1): (95, 113)
(12, 0, 2, (1, 0, 1), 2): (46, 47)
(12, 0, 2, (1, 0, 1), 3): (25, 25)
(12, 0, 2, (1, 0, 1), 4): (6, 6)
(12, 0, 2, (1, 0, 1), 5): (4, 4)
(12, 0, 2, (1, 0, 1), 6): (3, 3)
(12, 0, 2, (1, 1, 0), 0): (270, 588)
(12, 0, 2, (1, 1, 0), 1): (138, 173)
(12, 0, 2, (1, 1, 0), 2): (69, 76)
(12, 0, 2, (1, 1, 0), 3): (35, 35)
(12, 0, 2, (1, 1, 0), 4): (21, 21)
(12, 0, 2, (1, 1, 0), 5): (5, 5)
(12, 0, 2, (1, 1, 1), 0): (92, 187)
(12, 0, 2, (1, 1, 1), 1): (80, 96)
(12, 0, 2, (1, 1, 1), 2): (39, 43)
(12, 0, 2, (1, 1, 1), 3): (19, 19)
(12, 0, 2, (1, 1, 1), 4): (8, 8)
(12, 0, 2, (1, 1, 1), 5): (2, 2)
(12, 0, 2, (1, 1, 1), 6): (1, 1)
(12, 1, 0, (0, 0, 0), -11): (0, 1)
(12, 1, 0, (0, 0, 0), -9): (0, 1)
(12, 1, 0, (0, 0, 0), -8): (0, 4)
(12, 1, 0, (0, 0, 0), -7): (0, 4)
(12, 1, 0, (0, 0, 0), -6): (0, 15)
(12, 1, 0, (0, 0, 0), -5): (0, 26)
(12, 1, 0, (0, 0, 0), -4): (1, 59)
(12, 1, 0, (0, 0, 0), -3): (3, 158)
(12, 1, 0, (0, 0, 0), -2): (30, 335)
(12, 1, 0, (0, 0, 0), -1): (141, 700)
(12, 1, 0, (0, 0, 0), 0): (2444, 3687)
(12, 1, 0, (0, 0, 1), -4): (0, 2)
(12, 1, 0, (0, 0, 1), -3): (0, 3)
(12, 1, 0, (0, 0, 1), -2): (1, 2)
(12, 1, 0, (0, 0, 1), -1): (2, 6)
(12, 1, 0, (0, 0, 1), 0): (47, 48)
(12, 1, 0, (0, 1, 0), -11): (0, 1)
(12, 1, 0, (0, 1, 0), -8): (0, 1)
(12, 1, 0, (0, 1, 0), -6): (0, 1)
(12, 1, 0, (0, 1, 0), -5): (0, 4)
(12, 1, 0, (0, 1, 0), -4): (0, 3)
(12, 1, 0, (0, 1, 0), -3): (0, 13)
(12, 1, 0, (0, 1, 0), -2): (2, 20)
(12, 1, 0, (0, 1, 0), -1): (15, 41)
(12, 1, 0, (0, 1, 0), 0): (184, 211)
(12, 1, 0, (0, 1, 1), -5): (0, 1)
(12, 1, 0, (0, 1, 1), -3): (1, 1)
(12, 1, 0, (0, 1, 1), -2): (1, 1)
(12, 1, 0, (0, 1, 1), -1): (4, 7)
(12, 1, 0, (0, 1, 1), 0): (25, 28)
(12, 1, 0, (1, 0, 0), -11): (0, 1)
(12, 1, 0, (1, 0, 0), -8): (0, 1)
(12, 1, 0, (1, 0, 0), -7): (0, 1)
(12, 1, 0, (1, 0, 0), -6): (0, 4)
(12, 1, 0, (1, 0, 0), -5): (0, 10)
(12, 1, 0, (1, 0, 0), -4): (0, 18)
(12, 1, 0, (1, 0, 0), -3): (2, 44)
(12, 1, 0, (1, 0, 0), -2): (18, 93)
(12, 1, 0, (1, 0, 0), -1): (61, 170)
(12, 1, 0, (1, 0, 0), 0): (740, 1033)
(12, 1, 0, (1, 0, 1), -6): (0, 1)
(12, 1, 0, (1, 0, 1), -5): (0, 1)
(12, 1, 0, (1, 0, 1), -4): (0, 2)
(12, 1, 0, (1, 0, 1), -3): (0, 6)
(12, 1, 0, (1, 0, 1), -2): (1, 8)
(12, 1, 0, (1, 0, 1), -1): (4, 9)
(12, 1, 0, (1, 0, 1), 0): (64, 72)
(12, 1, 0, (1, 1, 0), -7): (0, 1)
(12, 1, 0, (1, 1, 0), -6): (0, 1)
(12, 1, 0, (1, 1, 0), -5): (0, 2)
(12, 1, 0, (1, 1, 0), -4): (0, 3)
(12, 1, 0, (1, 1, 0), -3): (0, 12)
(12, 1, 0, (1, 1, 0), -2): (8, 28)
(12, 1, 0, (1, 1, 0), -1): (18, 34)
(12, 1, 0, (1, 1, 0), 0): (164, 200)
(12, 1, 0, (1, 1, 1), -3): (0, 3)
(12, 1, 0, (1, 1, 1), -2): (2, 4)
(12, 1, 0, (1, 1, 1), -1): (8, 13)
(12, 1, 0, (1, 1, 1), 0): (84, 92)
(12, 1, 1, (0, 0, 0), -9): (0, 1)
(12, 1, 1, (0, 0, 0), -8): (0, 2)
(12, 1, 1, (0, 0, 0), -7): (0, 4)
(12, 1, 1, (0, 0, 0), -6): (0, 10)
(12, 1, 1, (0, 0, 0), -5): (0, 13)
(12, 1, 1, (0, 0, 0), -4): (1, 36)
(12, 1, 1, (0, 0, 0), -3): (1, 101)
(12, 1, 1, (0, 0, 0), -2): (9, 224)
(12, 1, 1, (0, 0, 0), -1): (64, 493)
(12, 1, 1, (0, 0, 0), 0): (1480, 2425)
(12, 1, 1, (0, 0, 1), -8): (0, 1)
(12, 1, 1, (0, 0, 1), -3): (0, 5)
(12, 1, 1, (0, 0, 1), -2): (1, 6)
(12, 1, 1, (0, 0, 1), -1): (11, 27)
(12, 1, 1, (0, 0, 1), 0): (119, 133)
(12, 1, 1, (0, 1, 0), -11): (0, 1)
(12, 1, 1, (0, 1, 0), -6): (0, 1)
(12, 1, 1, (0, 1, 0), -5): (0, 3)
(12, 1, 1, (0, 1, 0), -4): (0, 8)
(12, 1, 1, (0, 1, 0), -3): (0, 11)
(12, 1, 1, (0, 1, 0), -2): (4, 30)
(12, 1, 1, (0, 1, 0), -1): (28, 99)
(12, 1, 1, (0, 1, 0), 0): (476, 631)
(12, 1, 1, (0, 1, 1), -5): (0, 1)
(12, 1, 1, (0, 1, 1), -4): (1, 3)
(12, 1, 1, (0, 1, 1), -3): (0, 4)
(12, 1, 1, (0, 1, 1), -2): (6, 10)
(12, 1, 1, (0, 1, 1), -1): (16, 22)
(12, 1, 1, (0, 1, 1), 0): (107, 129)
(12, 1, 1, (1, 0, 0), -7): (0, 2)
(12, 1, 1, (1, 0, 0), -6): (0, 6)
(12, 1, 1, (1, 0, 0), -5): (0, 7)
(12, 1, 1, (1, 0, 0), -4): (1, 19)
(12, 1, 1, (1, 0, 0), -3): (2, 50)
(12, 1, 1, (1, 0, 0), -2): (12, 109)
(12, 1, 1, (1, 0, 0), -1): (57, 198)
(12, 1, 1, (1, 0, 0), 0): (632, 993)
(12, 1, 1, (1, 0, 1), -7): (0, 1)
(12, 1, 1, (1, 0, 1), -5): (0, 1)
(12, 1, 1, (1, 0, 1), -4): (0, 3)
(12, 1, 1, (1, 0, 1), -3): (1, 5)
(12, 1, 1, (1, 0, 1), -2): (6, 15)
(12, 1, 1, (1, 0, 1), -1): (14, 24)
(12, 1, 1, (1, 0, 1), 0): (153, 183)
(12, 1, 1, (1, 1, 0), -6): (0, 1)
(12, 1, 1, (1, 1, 0), -5): (0, 1)
(12, 1, 1, (1, 1, 0), -4): (0, 8)
(12, 1, 1, (1, 1, 0), -3): (0, 19)
(12, 1, 1, (1, 1, 0), -2): (7, 39)
(12, 1, 1, (1, 1, 0), -1): (29, 74)
(12, 1, 1, (1, 1, 0), 0): (397, 522)
(12, 1, 1, (1, 1, 1), -7): (0, 1)
(12, 1, 1, (1, 1, 1), -5): (0, 1)
(12, 1, 1, (1, 1, 1), -4): (0, 2)
(12, 1, 1, (1, 1, 1), -3): (0, 8)
(12, 1, 1, (1, 1, 1), -2): (3, 8)
(12, 1, 1, (1, 1, 1), -1): (23, 33)
(12, 1, 1, (1, 1, 1), 0): (222, 257)
(12, 1, 2, (0, 0, 0), -9): (0, 1)
(12, 1, 2, (0, 0, 0), -8): (0, 1)
(12, 1, 2, (0, 0, 0), -7): (0, 3)
(12, 1, 2, (0, 0, 0), -6): (0, 7)
(12, 1, 2, (0, 0, 0), -5): (0, 13)
(12, 1, 2, (0, 0, 0), -4): (0, 30)
(12, 1, 2, (0, 0, 0), -3): (0, 75)
(12, 1, 2, (0, 0, 0), -2): (2, 162)
(12, 1, 2, (0, 0, 0), -1): (18, 363)
(12, 1, 2, (0, 0, 0), 0): (958, 1716)
(12, 1, 2, (0, 0, 1), -11): (0, 1)
(12, 1, 2, (0, 0, 1), -7): (0, 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), -4): (0, 1)
(12, 1, 2, (0, 0, 1), -3): (0, 4)
(12, 1, 2, (0, 0, 1), -2): (0, 7)
(12, 1, 2, (0, 0, 1), -1): (12, 42)
(12, 1, 2, (0, 0, 1), 0): (101, 146)
(12, 1, 2, (0, 1, 0), -8): (0, 1)
(12, 1, 2, (0, 1, 0), -5): (0, 5)
(12, 1, 2, (0, 1, 0), -4): (0, 4)
(12, 1, 2, (0, 1, 0), -3): (0, 14)
(12, 1, 2, (0, 1, 0), -2): (0, 39)
(12, 1, 2, (0, 1, 0), -1): (13, 82)
(12, 1, 2, (0, 1, 0), 0): (286, 447)
(12, 1, 2, (0, 1, 1), -6): (0, 1)
(12, 1, 2, (0, 1, 1), -4): (0, 5)
(12, 1, 2, (0, 1, 1), -3): (0, 8)
(12, 1, 2, (0, 1, 1), -2): (1, 8)
(12, 1, 2, (0, 1, 1), -1): (2, 15)
(12, 1, 2, (0, 1, 1), 0): (113, 158)
(12, 1, 2, (1, 0, 0), -7): (0, 3)
(12, 1, 2, (1, 0, 0), -6): (0, 7)
(12, 1, 2, (1, 0, 0), -5): (0, 7)
(12, 1, 2, (1, 0, 0), -4): (0, 19)
(12, 1, 2, (1, 0, 0), -3): (2, 39)
(12, 1, 2, (1, 0, 0), -2): (2, 96)
(12, 1, 2, (1, 0, 0), -1): (21, 181)
(12, 1, 2, (1, 0, 0), 0): (499, 856)
(12, 1, 2, (1, 0, 1), -8): (0, 1)
(12, 1, 2, (1, 0, 1), -7): (0, 1)
(12, 1, 2, (1, 0, 1), -6): (0, 1)
(12, 1, 2, (1, 0, 1), -4): (0, 3)
(12, 1, 2, (1, 0, 1), -3): (0, 4)
(12, 1, 2, (1, 0, 1), -2): (0, 12)
(12, 1, 2, (1, 0, 1), -1): (7, 28)
(12, 1, 2, (1, 0, 1), 0): (123, 195)
(12, 1, 2, (1, 1, 0), -7): (0, 1)
(12, 1, 2, (1, 1, 0), -6): (0, 2)
(12, 1, 2, (1, 1, 0), -5): (0, 3)
(12, 1, 2, (1, 1, 0), -4): (0, 10)
(12, 1, 2, (1, 1, 0), -3): (1, 19)
(12, 1, 2, (1, 1, 0), -2): (2, 37)
(12, 1, 2, (1, 1, 0), -1): (16, 87)
(12, 1, 2, (1, 1, 0), 0): (335, 511)
(12, 1, 2, (1, 1, 1), -7): (0, 1)
(12, 1, 2, (1, 1, 1), -6): (0, 1)
(12, 1, 2, (1, 1, 1), -4): (0, 3)
(12, 1, 2, (1, 1, 1), -3): (1, 8)
(12, 1, 2, (1, 1, 1), -2): (0, 10)
(12, 1, 2, (1, 1, 1), -1): (6, 20)
(12, 1, 2, (1, 1, 1), 0): (185, 256)
(13, 0, 0, (0, 0, 0), 0): (1291, 2732)
(13, 0, 0, (0, 0, 0), 1): (38, 53)
(13, 0, 0, (0, 0, 0), 2): (17, 20)
(13, 0, 0, (0, 0, 0), 3): (1, 2)
(13, 0, 0, (0, 0, 0), 4): (2, 2)
(13, 0, 0, (0, 0, 0), 6): (1, 1)
(13, 0, 0, (0, 0, 1), 0): (19, 24)
(13, 0, 0, (0, 0, 1), 1): (7, 8)
(13, 0, 0, (0, 0, 1), 2): (3, 3)
(13, 0, 0, (0, 0, 1), 3): (1, 1)
(13, 0, 0, (0, 1, 0), 0): (100, 149)
(13, 0, 0, (0, 1, 0), 1): (16, 16)
(13, 0, 0, (0, 1, 0), 2): (4, 4)
(13, 0, 0, (0, 1, 0), 3): (1, 1)
(13, 0, 0, (0, 1, 1), 0): (18, 22)
(13, 0, 0, (0, 1, 1), 1): (8, 8)
(13, 0, 0, (0, 1, 1), 2): (3, 3)
(13, 0, 0, (0, 1, 1), 4): (1, 1)
(13, 0, 0, (1, 0, 0), 0): (428, 736)
(13, 0, 0, (1, 0, 0), 1): (15, 20)
(13, 0, 0, (1, 0, 0), 2): (4, 5)
(13, 0, 0, (1, 0, 0), 4): (2, 2)
(13, 0, 0, (1, 0, 1), 0): (38, 46)
(13, 0, 0, (1, 0, 1), 1): (7, 8)
(13, 0, 0, (1, 0, 1), 2): (4, 4)
(13, 0, 0, (1, 0, 1), 3): (1, 1)
(13, 0, 0, (1, 1, 0), 0): (58, 97)
(13, 0, 0, (1, 1, 0), 1): (13, 14)
(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): (2, 2)
(13, 0, 0, (1, 1, 1), 0): (22, 27)
(13, 0, 0, (1, 1, 1), 1): (13, 15)
(13, 0, 0, (1, 1, 1), 2): (3, 3)
(13, 0, 0, (1, 1, 1), 3): (1, 1)
(13, 0, 1, (0, 0, 0), 0): (740, 1831)
(13, 0, 1, (0, 0, 0), 1): (67, 88)
(13, 0, 1, (0, 0, 0), 2): (36, 39)
(13, 0, 1, (0, 0, 0), 3): (12, 13)
(13, 0, 1, (0, 0, 0), 4): (3, 4)
(13, 0, 1, (0, 0, 0), 5): (2, 2)
(13, 0, 1, (0, 0, 0), 6): (2, 2)
(13, 0, 1, (0, 0, 1), 0): (54, 83)
(13, 0, 1, (0, 0, 1), 1): (20, 22)
(13, 0, 1, (0, 0, 1), 2): (6, 6)
(13, 0, 1, (0, 0, 1), 3): (7, 7)
(13, 0, 1, (0, 0, 1), 4): (1, 1)
(13, 0, 1, (0, 0, 1), 5): (2, 2)
(13, 0, 1, (0, 1, 0), 0): (240, 420)
(13, 0, 1, (0, 1, 0), 1): (37, 48)
(13, 0, 1, (0, 1, 0), 2): (16, 16)
(13, 0, 1, (0, 1, 0), 3): (12, 12)
(13, 0, 1, (0, 1, 0), 4): (1, 1)
(13, 0, 1, (0, 1, 0), 5): (1, 1)
(13, 0, 1, (0, 1, 0), 6): (1, 1)
(13, 0, 1, (0, 1, 1), 0): (43, 63)
(13, 0, 1, (0, 1, 1), 1): (29, 34)
(13, 0, 1, (0, 1, 1), 2): (12, 14)
(13, 0, 1, (0, 1, 1), 3): (6, 6)
(13, 0, 1, (0, 1, 1), 4): (5, 5)
(13, 0, 1, (1, 0, 0), 0): (345, 707)
(13, 0, 1, (1, 0, 0), 1): (51, 68)
(13, 0, 1, (1, 0, 0), 2): (19, 20)
(13, 0, 1, (1, 0, 0), 3): (5, 6)
(13, 0, 1, (1, 0, 0), 4): (1, 1)
(13, 0, 1, (1, 0, 0), 5): (3, 3)
(13, 0, 1, (1, 0, 0), 6): (1, 1)
(13, 0, 1, (1, 0, 1), 0): (74, 105)
(13, 0, 1, (1, 0, 1), 1): (27, 29)
(13, 0, 1, (1, 0, 1), 2): (16, 17)
(13, 0, 1, (1, 0, 1), 3): (7, 7)
(13, 0, 1, (1, 0, 1), 5): (2, 2)
(13, 0, 1, (1, 1, 0), 0): (163, 284)
(13, 0, 1, (1, 1, 0), 1): (45, 54)
(13, 0, 1, (1, 1, 0), 2): (21, 22)
(13, 0, 1, (1, 1, 0), 3): (4, 4)
(13, 0, 1, (1, 1, 0), 4): (2, 2)
(13, 0, 1, (1, 1, 0), 5): (2, 2)
(13, 0, 1, (1, 1, 1), 0): (68, 88)
(13, 0, 1, (1, 1, 1), 1): (29, 35)
(13, 0, 1, (1, 1, 1), 2): (17, 20)
(13, 0, 1, (1, 1, 1), 3): (4, 4)
(13, 0, 1, (1, 1, 1), 4): (1, 1)
(13, 0, 2, (0, 0, 0), 0): (477, 1324)
(13, 0, 2, (0, 0, 0), 1): (88, 108)
(13, 0, 2, (0, 0, 0), 2): (51, 56)
(13, 0, 2, (0, 0, 0), 3): (23, 23)
(13, 0, 2, (0, 0, 0), 4): (13, 14)
(13, 0, 2, (0, 0, 0), 5): (10, 10)
(13, 0, 2, (0, 0, 0), 6): (2, 2)
(13, 0, 2, (0, 0, 0), 8): (1, 1)
(13, 0, 2, (0, 0, 0), 9): (1, 1)
(13, 0, 2, (0, 0, 1), 0): (57, 121)
(13, 0, 2, (0, 0, 1), 1): (17, 27)
(13, 0, 2, (0, 0, 1), 2): (19, 19)
(13, 0, 2, (0, 0, 1), 3): (11, 11)
(13, 0, 2, (0, 0, 1), 4): (6, 6)
(13, 0, 2, (0, 0, 1), 5): (5, 5)
(13, 0, 2, (0, 1, 0), 0): (144, 312)
(13, 0, 2, (0, 1, 0), 1): (53, 70)
(13, 0, 2, (0, 1, 0), 2): (38, 43)
(13, 0, 2, (0, 1, 0), 3): (23, 23)
(13, 0, 2, (0, 1, 0), 4): (7, 7)
(13, 0, 2, (0, 1, 0), 5): (6, 6)
(13, 0, 2, (0, 1, 0), 6): (2, 2)
(13, 0, 2, (0, 1, 0), 8): (3, 3)
(13, 0, 2, (0, 1, 0), 9): (1, 1)
(13, 0, 2, (0, 1, 1), 0): (34, 81)
(13, 0, 2, (0, 1, 1), 1): (44, 53)
(13, 0, 2, (0, 1, 1), 2): (16, 17)
(13, 0, 2, (0, 1, 1), 3): (9, 10)
(13, 0, 2, (0, 1, 1), 4): (6, 6)
(13, 0, 2, (0, 1, 1), 5): (1, 1)
(13, 0, 2, (1, 0, 0), 0): (263, 638)
(13, 0, 2, (1, 0, 0), 1): (94, 118)
(13, 0, 2, (1, 0, 0), 2): (31, 37)
(13, 0, 2, (1, 0, 0), 3): (26, 26)
(13, 0, 2, (1, 0, 0), 4): (5, 5)
(13, 0, 2, (1, 0, 0), 5): (3, 3)
(13, 0, 2, (1, 0, 0), 6): (6, 6)
(13, 0, 2, (1, 0, 0), 8): (1, 1)
(13, 0, 2, (1, 0, 0), 9): (2, 2)
(13, 0, 2, (1, 0, 0), 10): (1, 1)
(13, 0, 2, (1, 0, 1), 0): (71, 136)
(13, 0, 2, (1, 0, 1), 1): (46, 58)
(13, 0, 2, (1, 0, 1), 2): (28, 31)
(13, 0, 2, (1, 0, 1), 3): (9, 9)
(13, 0, 2, (1, 0, 1), 4): (3, 3)
(13, 0, 2, (1, 0, 1), 5): (3, 3)
(13, 0, 2, (1, 0, 1), 6): (2, 2)
(13, 0, 2, (1, 0, 1), 7): (1, 1)
(13, 0, 2, (1, 0, 1), 10): (1, 1)
(13, 0, 2, (1, 1, 0), 0): (167, 321)
(13, 0, 2, (1, 1, 0), 1): (86, 100)
(13, 0, 2, (1, 1, 0), 2): (34, 36)
(13, 0, 2, (1, 1, 0), 3): (15, 16)
(13, 0, 2, (1, 1, 0), 4): (6, 6)
(13, 0, 2, (1, 1, 0), 5): (4, 4)
(13, 0, 2, (1, 1, 0), 6): (4, 4)
(13, 0, 2, (1, 1, 0), 8): (1, 1)
(13, 0, 2, (1, 1, 0), 9): (1, 1)
(13, 0, 2, (1, 1, 1), 0): (61, 111)
(13, 0, 2, (1, 1, 1), 1): (51, 60)
(13, 0, 2, (1, 1, 1), 2): (23, 25)
(13, 0, 2, (1, 1, 1), 3): (7, 7)
(13, 0, 2, (1, 1, 1), 4): (1, 1)
(13, 0, 2, (1, 1, 1), 5): (1, 1)
(13, 1, 0, (0, 0, 0), -10): (0, 1)
(13, 1, 0, (0, 0, 0), -9): (0, 2)
(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, 8)
(13, 1, 0, (0, 0, 0), -5): (0, 22)
(13, 1, 0, (0, 0, 0), -4): (1, 33)
(13, 1, 0, (0, 0, 0), -3): (3, 80)
(13, 1, 0, (0, 0, 0), -2): (21, 189)
(13, 1, 0, (0, 0, 0), -1): (88, 400)
(13, 1, 0, (0, 0, 0), 0): (1337, 2015)
(13, 1, 0, (0, 0, 1), -4): (0, 1)
(13, 1, 0, (0, 0, 1), -3): (0, 1)
(13, 1, 0, (0, 0, 1), -2): (0, 1)
(13, 1, 0, (0, 0, 1), -1): (4, 6)
(13, 1, 0, (0, 0, 1), 0): (18, 20)
(13, 1, 0, (0, 1, 0), -6): (0, 1)
(13, 1, 0, (0, 1, 0), -3): (1, 6)
(13, 1, 0, (0, 1, 0), -2): (3, 7)
(13, 1, 0, (0, 1, 0), -1): (13, 25)
(13, 1, 0, (0, 1, 0), 0): (107, 122)
(13, 1, 0, (0, 1, 1), -5): (0, 1)
(13, 1, 0, (0, 1, 1), -3): (1, 2)
(13, 1, 0, (0, 1, 1), -2): (1, 2)
(13, 1, 0, (0, 1, 1), -1): (1, 1)
(13, 1, 0, (0, 1, 1), 0): (19, 20)
(13, 1, 0, (1, 0, 0), -9): (0, 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, 5)
(13, 1, 0, (1, 0, 0), -4): (1, 4)
(13, 1, 0, (1, 0, 0), -3): (1, 27)
(13, 1, 0, (1, 0, 0), -2): (13, 52)
(13, 1, 0, (1, 0, 0), -1): (35, 108)
(13, 1, 0, (1, 0, 0), 0): (423, 553)
(13, 1, 0, (1, 0, 1), -4): (0, 1)
(13, 1, 0, (1, 0, 1), -3): (0, 3)
(13, 1, 0, (1, 0, 1), -2): (2, 4)
(13, 1, 0, (1, 0, 1), -1): (9, 9)
(13, 1, 0, (1, 0, 1), 0): (49, 52)
(13, 1, 0, (1, 1, 0), -5): (0, 1)
(13, 1, 0, (1, 1, 0), -4): (1, 1)
(13, 1, 0, (1, 1, 0), -3): (1, 5)
(13, 1, 0, (1, 1, 0), -2): (5, 17)
(13, 1, 0, (1, 1, 0), -1): (10, 17)
(13, 1, 0, (1, 1, 0), 0): (99, 113)
(13, 1, 0, (1, 1, 1), -4): (1, 1)
(13, 1, 0, (1, 1, 1), -3): (0, 1)
(13, 1, 0, (1, 1, 1), -2): (0, 2)
(13, 1, 0, (1, 1, 1), -1): (4, 4)
(13, 1, 0, (1, 1, 1), 0): (60, 61)
(13, 1, 1, (0, 0, 0), -10): (0, 1)
(13, 1, 1, (0, 0, 0), -9): (0, 1)
(13, 1, 1, (0, 0, 0), -7): (0, 1)
(13, 1, 1, (0, 0, 0), -6): (0, 4)
(13, 1, 1, (0, 0, 0), -5): (0, 17)
(13, 1, 1, (0, 0, 0), -4): (0, 29)
(13, 1, 1, (0, 0, 0), -3): (1, 50)
(13, 1, 1, (0, 0, 0), -2): (5, 126)
(13, 1, 1, (0, 0, 0), -1): (32, 269)
(13, 1, 1, (0, 0, 0), 0): (796, 1338)
(13, 1, 1, (0, 0, 1), -4): (0, 1)
(13, 1, 1, (0, 0, 1), -3): (0, 1)
(13, 1, 1, (0, 0, 1), -2): (0, 1)
(13, 1, 1, (0, 0, 1), -1): (11, 24)
(13, 1, 1, (0, 0, 1), 0): (45, 49)
(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, 2)
(13, 1, 1, (0, 1, 0), -4): (0, 2)
(13, 1, 1, (0, 1, 0), -3): (0, 7)
(13, 1, 1, (0, 1, 0), -2): (4, 13)
(13, 1, 1, (0, 1, 0), -1): (16, 53)
(13, 1, 1, (0, 1, 0), 0): (250, 330)
(13, 1, 1, (0, 1, 1), -5): (0, 2)
(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): (3, 8)
(13, 1, 1, (0, 1, 1), -1): (4, 10)
(13, 1, 1, (0, 1, 1), 0): (49, 53)
(13, 1, 1, (1, 0, 0), -9): (0, 1)
(13, 1, 1, (1, 0, 0), -6): (0, 5)
(13, 1, 1, (1, 0, 0), -5): (0, 9)
(13, 1, 1, (1, 0, 0), -4): (0, 11)
(13, 1, 1, (1, 0, 0), -3): (2, 31)
(13, 1, 1, (1, 0, 0), -2): (7, 51)
(13, 1, 1, (1, 0, 0), -1): (28, 106)
(13, 1, 1, (1, 0, 0), 0): (336, 529)
(13, 1, 1, (1, 0, 1), -8): (0, 1)
(13, 1, 1, (1, 0, 1), -5): (0, 1)
(13, 1, 1, (1, 0, 1), -4): (0, 1)
(13, 1, 1, (1, 0, 1), -3): (0, 4)
(13, 1, 1, (1, 0, 1), -2): (1, 2)
(13, 1, 1, (1, 0, 1), -1): (8, 18)
(13, 1, 1, (1, 0, 1), 0): (70, 81)
(13, 1, 1, (1, 1, 0), -5): (0, 2)
(13, 1, 1, (1, 1, 0), -4): (0, 2)
(13, 1, 1, (1, 1, 0), -3): (3, 15)
(13, 1, 1, (1, 1, 0), -2): (4, 16)
(13, 1, 1, (1, 1, 0), -1): (18, 38)
(13, 1, 1, (1, 1, 0), 0): (204, 266)
(13, 1, 1, (1, 1, 1), -8): (0, 1)
(13, 1, 1, (1, 1, 1), -5): (0, 1)
(13, 1, 1, (1, 1, 1), -4): (0, 2)
(13, 1, 1, (1, 1, 1), -3): (1, 5)
(13, 1, 1, (1, 1, 1), -2): (2, 5)
(13, 1, 1, (1, 1, 1), -1): (10, 17)
(13, 1, 1, (1, 1, 1), 0): (127, 139)
(13, 1, 2, (0, 0, 0), -10): (0, 1)
(13, 1, 2, (0, 0, 0), -9): (0, 1)
(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, 9)
(13, 1, 2, (0, 0, 0), -4): (0, 20)
(13, 1, 2, (0, 0, 0), -3): (0, 32)
(13, 1, 2, (0, 0, 0), -2): (0, 93)
(13, 1, 2, (0, 0, 0), -1): (7, 204)
(13, 1, 2, (0, 0, 0), 0): (522, 940)
(13, 1, 2, (0, 0, 1), -10): (0, 1)
(13, 1, 2, (0, 0, 1), -4): (0, 1)
(13, 1, 2, (0, 0, 1), -3): (0, 4)
(13, 1, 2, (0, 0, 1), -2): (1, 8)
(13, 1, 2, (0, 0, 1), -1): (4, 23)
(13, 1, 2, (0, 0, 1), 0): (55, 78)
(13, 1, 2, (0, 1, 0), -10): (0, 1)
(13, 1, 2, (0, 1, 0), -6): (0, 1)
(13, 1, 2, (0, 1, 0), -5): (0, 5)
(13, 1, 2, (0, 1, 0), -4): (0, 4)
(13, 1, 2, (0, 1, 0), -3): (0, 12)
(13, 1, 2, (0, 1, 0), -2): (0, 24)
(13, 1, 2, (0, 1, 0), -1): (5, 41)
(13, 1, 2, (0, 1, 0), 0): (174, 255)
(13, 1, 2, (0, 1, 1), -5): (0, 3)
(13, 1, 2, (0, 1, 1), -4): (0, 1)
(13, 1, 2, (0, 1, 1), -3): (0, 2)
(13, 1, 2, (0, 1, 1), -2): (0, 4)
(13, 1, 2, (0, 1, 1), -1): (1, 5)
(13, 1, 2, (0, 1, 1), 0): (40, 60)
(13, 1, 2, (1, 0, 0), -10): (0, 1)
(13, 1, 2, (1, 0, 0), -9): (0, 1)
(13, 1, 2, (1, 0, 0), -6): (0, 6)
(13, 1, 2, (1, 0, 0), -5): (0, 7)
(13, 1, 2, (1, 0, 0), -4): (0, 10)
(13, 1, 2, (1, 0, 0), -3): (0, 23)
(13, 1, 2, (1, 0, 0), -2): (0, 55)
(13, 1, 2, (1, 0, 0), -1): (13, 114)
(13, 1, 2, (1, 0, 0), 0): (277, 490)
(13, 1, 2, (1, 0, 1), -4): (0, 3)
(13, 1, 2, (1, 0, 1), -3): (0, 6)
(13, 1, 2, (1, 0, 1), -2): (3, 12)
(13, 1, 2, (1, 0, 1), -1): (6, 22)
(13, 1, 2, (1, 0, 1), 0): (60, 93)
(13, 1, 2, (1, 1, 0), -6): (0, 2)
(13, 1, 2, (1, 1, 0), -5): (0, 4)
(13, 1, 2, (1, 1, 0), -4): (0, 2)
(13, 1, 2, (1, 1, 0), -3): (2, 11)
(13, 1, 2, (1, 1, 0), -2): (0, 19)
(13, 1, 2, (1, 1, 0), -1): (7, 38)
(13, 1, 2, (1, 1, 0), 0): (205, 290)
(13, 1, 2, (1, 1, 1), -5): (0, 1)
(13, 1, 2, (1, 1, 1), -4): (0, 1)
(13, 1, 2, (1, 1, 1), -3): (0, 3)
(13, 1, 2, (1, 1, 1), -2): (1, 5)
(13, 1, 2, (1, 1, 1), -1): (7, 18)
(13, 1, 2, (1, 1, 1), 0): (99, 136)
(14, 0, 0, (0, 0, 0), 0): (699, 1495)
(14, 0, 0, (0, 0, 0), 1): (32, 34)
(14, 0, 0, (0, 0, 0), 2): (7, 7)
(14, 0, 0, (0, 0, 0), 5): (1, 1)
(14, 0, 0, (0, 0, 1), 0): (6, 11)
(14, 0, 0, (0, 0, 1), 1): (2, 2)
(14, 0, 0, (0, 0, 1), 3): (2, 2)
(14, 0, 0, (0, 1, 0), 0): (52, 83)
(14, 0, 0, (0, 1, 0), 1): (8, 8)
(14, 0, 0, (0, 1, 0), 2): (1, 1)
(14, 0, 0, (0, 1, 0), 3): (1, 1)
(14, 0, 0, (0, 1, 0), 6): (2, 2)
(14, 0, 0, (0, 1, 1), 0): (4, 9)
(14, 0, 0, (0, 1, 1), 1): (5, 5)
(14, 0, 0, (0, 1, 1), 3): (1, 1)
(14, 0, 0, (0, 1, 1), 4): (2, 2)
(14, 0, 0, (1, 0, 0), 0): (207, 383)
(14, 0, 0, (1, 0, 0), 1): (10, 11)
(14, 0, 0, (1, 0, 0), 2): (5, 5)
(14, 0, 0, (1, 0, 0), 4): (1, 1)
(14, 0, 0, (1, 0, 0), 5): (1, 1)
(14, 0, 0, (1, 0, 1), 0): (20, 28)
(14, 0, 0, (1, 0, 1), 1): (2, 2)
(14, 0, 0, (1, 0, 1), 2): (2, 2)
(14, 0, 0, (1, 0, 1), 3): (2, 2)
(14, 0, 0, (1, 1, 0), 0): (45, 65)
(14, 0, 0, (1, 1, 0), 1): (9, 12)
(14, 0, 0, (1, 1, 0), 2): (5, 7)
(14, 0, 0, (1, 1, 0), 3): (1, 1)
(14, 0, 0, (1, 1, 0), 4): (1, 1)
(14, 0, 0, (1, 1, 1), 0): (15, 19)
(14, 0, 0, (1, 1, 1), 1): (5, 5)
(14, 0, 0, (1, 1, 1), 2): (3, 3)
(14, 0, 0, (1, 1, 1), 3): (1, 1)
(14, 0, 1, (0, 0, 0), 0): (418, 1021)
(14, 0, 1, (0, 0, 0), 1): (35, 38)
(14, 0, 1, (0, 0, 0), 2): (17, 18)
(14, 0, 1, (0, 0, 0), 3): (5, 5)
(14, 0, 1, (0, 0, 0), 4): (3, 3)
(14, 0, 1, (0, 0, 0), 7): (2, 2)
(14, 0, 1, (0, 0, 1), 0): (29, 53)
(14, 0, 1, (0, 0, 1), 1): (5, 7)
(14, 0, 1, (0, 0, 1), 2): (6, 7)
(14, 0, 1, (0, 0, 1), 3): (1, 1)
(14, 0, 1, (0, 0, 1), 5): (1, 1)
(14, 0, 1, (0, 0, 1), 6): (1, 1)
(14, 0, 1, (0, 1, 0), 0): (119, 221)
(14, 0, 1, (0, 1, 0), 1): (30, 33)
(14, 0, 1, (0, 1, 0), 2): (13, 13)
(14, 0, 1, (0, 1, 0), 3): (4, 4)
(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): (2, 2)
(14, 0, 1, (0, 1, 1), 0): (21, 35)
(14, 0, 1, (0, 1, 1), 1): (16, 19)
(14, 0, 1, (0, 1, 1), 2): (7, 7)
(14, 0, 1, (0, 1, 1), 3): (4, 4)
(14, 0, 1, (0, 1, 1), 4): (1, 1)
(14, 0, 1, (1, 0, 0), 0): (193, 382)
(14, 0, 1, (1, 0, 0), 1): (22, 27)
(14, 0, 1, (1, 0, 0), 2): (9, 9)
(14, 0, 1, (1, 0, 0), 3): (6, 6)
(14, 0, 1, (1, 0, 0), 4): (1, 1)
(14, 0, 1, (1, 0, 0), 5): (1, 1)
(14, 0, 1, (1, 0, 1), 0): (45, 68)
(14, 0, 1, (1, 0, 1), 1): (16, 19)
(14, 0, 1, (1, 0, 1), 2): (7, 8)
(14, 0, 1, (1, 0, 1), 3): (3, 3)
(14, 0, 1, (1, 0, 1), 4): (2, 2)
(14, 0, 1, (1, 0, 1), 5): (1, 1)
(14, 0, 1, (1, 0, 1), 6): (2, 2)
(14, 0, 1, (1, 0, 1), 7): (1, 1)
(14, 0, 1, (1, 1, 0), 0): (96, 154)
(14, 0, 1, (1, 1, 0), 1): (26, 35)
(14, 0, 1, (1, 1, 0), 2): (9, 11)
(14, 0, 1, (1, 1, 0), 3): (6, 6)
(14, 0, 1, (1, 1, 0), 4): (3, 3)
(14, 0, 1, (1, 1, 0), 5): (1, 1)
(14, 0, 1, (1, 1, 0), 8): (1, 1)
(14, 0, 1, (1, 1, 1), 0): (36, 52)
(14, 0, 1, (1, 1, 1), 1): (23, 24)
(14, 0, 1, (1, 1, 1), 2): (11, 11)
(14, 0, 1, (1, 1, 1), 3): (3, 3)
(14, 0, 1, (1, 1, 1), 4): (2, 2)
(14, 0, 2, (0, 0, 0), 0): (255, 729)
(14, 0, 2, (0, 0, 0), 1): (43, 49)
(14, 0, 2, (0, 0, 0), 2): (21, 23)
(14, 0, 2, (0, 0, 0), 3): (12, 14)
(14, 0, 2, (0, 0, 0), 4): (6, 6)
(14, 0, 2, (0, 0, 0), 5): (2, 2)
(14, 0, 2, (0, 0, 0), 6): (1, 1)
(14, 0, 2, (0, 0, 0), 7): (3, 3)
(14, 0, 2, (0, 0, 1), 0): (23, 55)
(14, 0, 2, (0, 0, 1), 1): (16, 18)
(14, 0, 2, (0, 0, 1), 2): (7, 8)
(14, 0, 2, (0, 0, 1), 3): (7, 7)
(14, 0, 2, (0, 0, 1), 4): (3, 3)
(14, 0, 2, (0, 0, 1), 5): (1, 1)
(14, 0, 2, (0, 0, 1), 7): (1, 1)
(14, 0, 2, (0, 1, 0), 0): (81, 192)
(14, 0, 2, (0, 1, 0), 1): (48, 55)
(14, 0, 2, (0, 1, 0), 2): (23, 24)
(14, 0, 2, (0, 1, 0), 3): (11, 12)
(14, 0, 2, (0, 1, 0), 4): (5, 5)
(14, 0, 2, (0, 1, 0), 5): (3, 3)
(14, 0, 2, (0, 1, 0), 6): (3, 3)
(14, 0, 2, (0, 1, 1), 0): (19, 40)
(14, 0, 2, (0, 1, 1), 1): (24, 28)
(14, 0, 2, (0, 1, 1), 2): (9, 11)
(14, 0, 2, (0, 1, 1), 3): (4, 4)
(14, 0, 2, (0, 1, 1), 4): (1, 1)
(14, 0, 2, (0, 1, 1), 5): (1, 1)
(14, 0, 2, (1, 0, 0), 0): (164, 350)
(14, 0, 2, (1, 0, 0), 1): (42, 48)
(14, 0, 2, (1, 0, 0), 2): (24, 25)
(14, 0, 2, (1, 0, 0), 3): (12, 12)
(14, 0, 2, (1, 0, 0), 4): (8, 8)
(14, 0, 2, (1, 0, 0), 5): (2, 2)
(14, 0, 2, (1, 0, 0), 7): (1, 1)
(14, 0, 2, (1, 0, 1), 0): (49, 86)
(14, 0, 2, (1, 0, 1), 1): (21, 26)
(14, 0, 2, (1, 0, 1), 2): (8, 9)
(14, 0, 2, (1, 0, 1), 3): (4, 4)
(14, 0, 2, (1, 0, 1), 4): (3, 3)
(14, 0, 2, (1, 0, 1), 5): (2, 2)
(14, 0, 2, (1, 0, 1), 6): (1, 1)
(14, 0, 2, (1, 1, 0), 0): (74, 168)
(14, 0, 2, (1, 1, 0), 1): (45, 55)
(14, 0, 2, (1, 1, 0), 2): (18, 19)
(14, 0, 2, (1, 1, 0), 3): (6, 8)
(14, 0, 2, (1, 1, 0), 4): (7, 7)
(14, 0, 2, (1, 1, 0), 5): (3, 3)
(14, 0, 2, (1, 1, 0), 6): (2, 2)
(14, 0, 2, (1, 1, 1), 0): (23, 51)
(14, 0, 2, (1, 1, 1), 1): (31, 35)
(14, 0, 2, (1, 1, 1), 2): (10, 12)
(14, 0, 2, (1, 1, 1), 3): (4, 4)
(14, 0, 2, (1, 1, 1), 4): (2, 2)
(14, 0, 2, (1, 1, 1), 5): (1, 1)
(14, 0, 2, (1, 1, 1), 6): (1, 1)
(14, 1, 0, (0, 0, 0), -8): (0, 1)
(14, 1, 0, (0, 0, 0), -7): (0, 4)
(14, 1, 0, (0, 0, 0), -6): (0, 5)
(14, 1, 0, (0, 0, 0), -5): (0, 14)
(14, 1, 0, (0, 0, 0), -4): (0, 21)
(14, 1, 0, (0, 0, 0), -3): (4, 42)
(14, 1, 0, (0, 0, 0), -2): (10, 96)
(14, 1, 0, (0, 0, 0), -1): (38, 218)
(14, 1, 0, (0, 0, 0), 0): (747, 1102)
(14, 1, 0, (0, 0, 1), -1): (0, 4)
(14, 1, 0, (0, 0, 1), 0): (11, 12)
(14, 1, 0, (0, 1, 0), -6): (0, 1)
(14, 1, 0, (0, 1, 0), -5): (0, 1)
(14, 1, 0, (0, 1, 0), -3): (0, 2)
(14, 1, 0, (0, 1, 0), -2): (1, 2)
(14, 1, 0, (0, 1, 0), -1): (6, 15)
(14, 1, 0, (0, 1, 0), 0): (56, 63)
(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, 8)
(14, 1, 0, (1, 0, 0), -8): (0, 1)
(14, 1, 0, (1, 0, 0), -7): (0, 2)
(14, 1, 0, (1, 0, 0), -6): (0, 1)
(14, 1, 0, (1, 0, 0), -5): (0, 4)
(14, 1, 0, (1, 0, 0), -4): (0, 7)
(14, 1, 0, (1, 0, 0), -3): (3, 12)
(14, 1, 0, (1, 0, 0), -2): (6, 21)
(14, 1, 0, (1, 0, 0), -1): (20, 68)
(14, 1, 0, (1, 0, 0), 0): (240, 321)
(14, 1, 0, (1, 0, 1), -2): (0, 1)
(14, 1, 0, (1, 0, 1), -1): (5, 8)
(14, 1, 0, (1, 0, 1), 0): (23, 24)
(14, 1, 0, (1, 1, 0), -8): (0, 1)
(14, 1, 0, (1, 1, 0), -7): (0, 1)
(14, 1, 0, (1, 1, 0), -3): (0, 2)
(14, 1, 0, (1, 1, 0), -2): (2, 8)
(14, 1, 0, (1, 1, 0), -1): (6, 12)
(14, 1, 0, (1, 1, 0), 0): (45, 52)
(14, 1, 0, (1, 1, 1), -3): (0, 1)
(14, 1, 0, (1, 1, 1), -2): (1, 4)
(14, 1, 0, (1, 1, 1), -1): (5, 6)
(14, 1, 0, (1, 1, 1), 0): (28, 28)
(14, 1, 1, (0, 0, 0), -7): (0, 2)
(14, 1, 1, (0, 0, 0), -6): (0, 3)
(14, 1, 1, (0, 0, 0), -5): (0, 9)
(14, 1, 1, (0, 0, 0), -4): (0, 14)
(14, 1, 1, (0, 0, 0), -3): (1, 27)
(14, 1, 1, (0, 0, 0), -2): (3, 73)
(14, 1, 1, (0, 0, 0), -1): (12, 135)
(14, 1, 1, (0, 0, 0), 0): (440, 719)
(14, 1, 1, (0, 0, 1), -5): (0, 1)
(14, 1, 1, (0, 0, 1), -3): (0, 1)
(14, 1, 1, (0, 0, 1), -2): (0, 1)
(14, 1, 1, (0, 0, 1), -1): (5, 13)
(14, 1, 1, (0, 0, 1), 0): (38, 44)
(14, 1, 1, (0, 1, 0), -6): (0, 1)
(14, 1, 1, (0, 1, 0), -4): (0, 2)
(14, 1, 1, (0, 1, 0), -3): (0, 2)
(14, 1, 1, (0, 1, 0), -2): (1, 8)
(14, 1, 1, (0, 1, 0), -1): (4, 39)
(14, 1, 1, (0, 1, 0), 0): (141, 194)
(14, 1, 1, (0, 1, 1), -4): (0, 1)
(14, 1, 1, (0, 1, 1), -3): (0, 1)
(14, 1, 1, (0, 1, 1), -2): (3, 4)
(14, 1, 1, (0, 1, 1), -1): (4, 8)
(14, 1, 1, (0, 1, 1), 0): (37, 43)
(14, 1, 1, (1, 0, 0), -7): (0, 1)
(14, 1, 1, (1, 0, 0), -6): (0, 3)
(14, 1, 1, (1, 0, 0), -5): (0, 6)
(14, 1, 1, (1, 0, 0), -4): (0, 10)
(14, 1, 1, (1, 0, 0), -3): (4, 14)
(14, 1, 1, (1, 0, 0), -2): (6, 34)
(14, 1, 1, (1, 0, 0), -1): (10, 49)
(14, 1, 1, (1, 0, 0), 0): (201, 307)
(14, 1, 1, (1, 0, 1), -3): (1, 1)
(14, 1, 1, (1, 0, 1), -2): (1, 2)
(14, 1, 1, (1, 0, 1), -1): (5, 10)
(14, 1, 1, (1, 0, 1), 0): (53, 61)
(14, 1, 1, (1, 1, 0), -5): (0, 1)
(14, 1, 1, (1, 1, 0), -4): (0, 3)
(14, 1, 1, (1, 1, 0), -3): (3, 5)
(14, 1, 1, (1, 1, 0), -2): (3, 10)
(14, 1, 1, (1, 1, 0), -1): (5, 18)
(14, 1, 1, (1, 1, 0), 0): (121, 162)
(14, 1, 1, (1, 1, 1), -5): (0, 1)
(14, 1, 1, (1, 1, 1), -4): (0, 2)
(14, 1, 1, (1, 1, 1), -3): (2, 3)
(14, 1, 1, (1, 1, 1), -2): (4, 4)
(14, 1, 1, (1, 1, 1), -1): (3, 7)
(14, 1, 1, (1, 1, 1), 0): (76, 85)
(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, 7)
(14, 1, 2, (0, 0, 0), -4): (0, 10)
(14, 1, 2, (0, 0, 0), -3): (0, 22)
(14, 1, 2, (0, 0, 0), -2): (0, 45)
(14, 1, 2, (0, 0, 0), -1): (3, 91)
(14, 1, 2, (0, 0, 0), 0): (290, 503)
(14, 1, 2, (0, 0, 1), -7): (0, 1)
(14, 1, 2, (0, 0, 1), -5): (0, 1)
(14, 1, 2, (0, 0, 1), -3): (0, 1)
(14, 1, 2, (0, 0, 1), -2): (0, 5)
(14, 1, 2, (0, 0, 1), -1): (1, 12)
(14, 1, 2, (0, 0, 1), 0): (24, 41)
(14, 1, 2, (0, 1, 0), -7): (0, 1)
(14, 1, 2, (0, 1, 0), -6): (0, 1)
(14, 1, 2, (0, 1, 0), -5): (0, 1)
(14, 1, 2, (0, 1, 0), -4): (0, 4)
(14, 1, 2, (0, 1, 0), -3): (0, 3)
(14, 1, 2, (0, 1, 0), -2): (0, 13)
(14, 1, 2, (0, 1, 0), -1): (1, 32)
(14, 1, 2, (0, 1, 0), 0): (98, 141)
(14, 1, 2, (0, 1, 1), -3): (0, 3)
(14, 1, 2, (0, 1, 1), -2): (1, 2)
(14, 1, 2, (0, 1, 1), -1): (2, 3)
(14, 1, 2, (0, 1, 1), 0): (35, 45)
(14, 1, 2, (1, 0, 0), -6): (0, 3)
(14, 1, 2, (1, 0, 0), -5): (0, 8)
(14, 1, 2, (1, 0, 0), -4): (0, 4)
(14, 1, 2, (1, 0, 0), -3): (0, 18)
(14, 1, 2, (1, 0, 0), -2): (0, 27)
(14, 1, 2, (1, 0, 0), -1): (4, 49)
(14, 1, 2, (1, 0, 0), 0): (156, 269)
(14, 1, 2, (1, 0, 1), -5): (0, 1)
(14, 1, 2, (1, 0, 1), -3): (1, 2)
(14, 1, 2, (1, 0, 1), -2): (0, 5)
(14, 1, 2, (1, 0, 1), -1): (4, 10)
(14, 1, 2, (1, 0, 1), 0): (36, 57)
(14, 1, 2, (1, 1, 0), -6): (0, 1)
(14, 1, 2, (1, 1, 0), -5): (0, 1)
(14, 1, 2, (1, 1, 0), -4): (0, 3)
(14, 1, 2, (1, 1, 0), -3): (0, 3)
(14, 1, 2, (1, 1, 0), -2): (1, 13)
(14, 1, 2, (1, 1, 0), -1): (2, 20)
(14, 1, 2, (1, 1, 0), 0): (109, 171)
(14, 1, 2, (1, 1, 1), -4): (0, 1)
(14, 1, 2, (1, 1, 1), -3): (0, 1)
(14, 1, 2, (1, 1, 1), -2): (2, 6)
(14, 1, 2, (1, 1, 1), -1): (3, 8)
(14, 1, 2, (1, 1, 1), 0): (53, 77)
(15, 0, 0, (0, 0, 0), 0): (378, 797)
(15, 0, 0, (0, 0, 0), 1): (10, 12)
(15, 0, 0, (0, 0, 0), 2): (3, 3)
(15, 0, 0, (0, 0, 1), 0): (6, 8)
(15, 0, 0, (0, 0, 1), 1): (3, 3)
(15, 0, 0, (0, 0, 1), 2): (1, 1)
(15, 0, 0, (0, 1, 0), 0): (34, 46)
(15, 0, 0, (0, 1, 0), 1): (5, 5)
(15, 0, 0, (0, 1, 0), 2): (1, 1)
(15, 0, 0, (0, 1, 1), 0): (4, 5)
(15, 0, 0, (1, 0, 0), 0): (123, 212)
(15, 0, 0, (1, 0, 0), 1): (5, 6)
(15, 0, 0, (1, 0, 0), 2): (1, 1)
(15, 0, 0, (1, 0, 1), 0): (11, 16)
(15, 0, 0, (1, 0, 1), 1): (2, 2)
(15, 0, 0, (1, 0, 1), 2): (1, 1)
(15, 0, 0, (1, 1, 0), 0): (26, 41)
(15, 0, 0, (1, 1, 0), 1): (4, 4)
(15, 0, 0, (1, 1, 0), 2): (2, 2)
(15, 0, 0, (1, 1, 1), 0): (6, 8)
(15, 0, 0, (1, 1, 1), 1): (1, 1)
(15, 0, 1, (0, 0, 0), 0): (219, 536)
(15, 0, 1, (0, 0, 0), 1): (14, 17)
(15, 0, 1, (0, 0, 0), 2): (13, 14)
(15, 0, 1, (0, 0, 0), 3): (3, 3)
(15, 0, 1, (0, 0, 0), 4): (2, 2)
(15, 0, 1, (0, 0, 1), 0): (19, 24)
(15, 0, 1, (0, 0, 1), 1): (9, 9)
(15, 0, 1, (0, 0, 1), 2): (2, 2)
(15, 0, 1, (0, 0, 1), 3): (1, 1)
(15, 0, 1, (0, 0, 1), 5): (1, 1)
(15, 0, 1, (0, 1, 0), 0): (65, 110)
(15, 0, 1, (0, 1, 0), 1): (10, 10)
(15, 0, 1, (0, 1, 0), 2): (5, 5)
(15, 0, 1, (0, 1, 0), 3): (2, 2)
(15, 0, 1, (0, 1, 0), 4): (1, 1)
(15, 0, 1, (0, 1, 0), 6): (1, 1)
(15, 0, 1, (0, 1, 0), 7): (1, 1)
(15, 0, 1, (0, 1, 0), 10): (1, 1)
(15, 0, 1, (0, 1, 1), 0): (15, 25)
(15, 0, 1, (0, 1, 1), 1): (4, 4)
(15, 0, 1, (0, 1, 1), 2): (5, 5)
(15, 0, 1, (0, 1, 1), 3): (2, 2)
(15, 0, 1, (0, 1, 1), 4): (1, 1)
(15, 0, 1, (1, 0, 0), 0): (97, 206)
(15, 0, 1, (1, 0, 0), 1): (13, 16)
(15, 0, 1, (1, 0, 0), 2): (7, 7)
(15, 0, 1, (1, 0, 0), 3): (2, 2)
(15, 0, 1, (1, 0, 1), 0): (27, 38)
(15, 0, 1, (1, 0, 1), 1): (11, 12)
(15, 0, 1, (1, 0, 1), 2): (4, 4)
(15, 0, 1, (1, 0, 1), 3): (4, 4)
(15, 0, 1, (1, 0, 1), 6): (2, 2)
(15, 0, 1, (1, 0, 1), 7): (1, 1)
(15, 0, 1, (1, 1, 0), 0): (42, 76)
(15, 0, 1, (1, 1, 0), 1): (16, 17)
(15, 0, 1, (1, 1, 0), 2): (10, 10)
(15, 0, 1, (1, 1, 0), 4): (2, 2)
(15, 0, 1, (1, 1, 0), 8): (1, 1)
(15, 0, 1, (1, 1, 1), 0): (24, 35)
(15, 0, 1, (1, 1, 1), 1): (10, 10)
(15, 0, 1, (1, 1, 1), 2): (3, 3)
(15, 0, 1, (1, 1, 1), 3): (1, 1)
(15, 0, 1, (1, 1, 1), 4): (2, 2)
(15, 0, 2, (0, 0, 0), 0): (144, 396)
(15, 0, 2, (0, 0, 0), 1): (21, 23)
(15, 0, 2, (0, 0, 0), 2): (12, 13)
(15, 0, 2, (0, 0, 0), 3): (5, 5)
(15, 0, 2, (0, 0, 0), 4): (3, 3)
(15, 0, 2, (0, 0, 0), 5): (1, 1)
(15, 0, 2, (0, 0, 0), 6): (2, 2)
(15, 0, 2, (0, 0, 1), 0): (14, 27)
(15, 0, 2, (0, 0, 1), 1): (8, 9)
(15, 0, 2, (0, 0, 1), 2): (4, 4)
(15, 0, 2, (0, 0, 1), 3): (4, 4)
(15, 0, 2, (0, 0, 1), 4): (3, 3)
(15, 0, 2, (0, 0, 1), 5): (2, 2)
(15, 0, 2, (0, 1, 0), 0): (41, 97)
(15, 0, 2, (0, 1, 0), 1): (19, 22)
(15, 0, 2, (0, 1, 0), 2): (11, 15)
(15, 0, 2, (0, 1, 0), 3): (4, 6)
(15, 0, 2, (0, 1, 0), 4): (2, 2)
(15, 0, 2, (0, 1, 0), 6): (1, 1)
(15, 0, 2, (0, 1, 0), 7): (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): (17, 29)
(15, 0, 2, (0, 1, 1), 1): (9, 13)
(15, 0, 2, (0, 1, 1), 2): (8, 8)
(15, 0, 2, (0, 1, 1), 3): (2, 2)
(15, 0, 2, (1, 0, 0), 0): (75, 184)
(15, 0, 2, (1, 0, 0), 1): (20, 25)
(15, 0, 2, (1, 0, 0), 2): (17, 18)
(15, 0, 2, (1, 0, 0), 3): (7, 9)
(15, 0, 2, (1, 0, 0), 4): (4, 4)
(15, 0, 2, (1, 0, 0), 5): (2, 2)
(15, 0, 2, (1, 0, 0), 12): (1, 1)
(15, 0, 2, (1, 0, 1), 0): (20, 37)
(15, 0, 2, (1, 0, 1), 1): (12, 19)
(15, 0, 2, (1, 0, 1), 2): (9, 10)
(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): (32, 93)
(15, 0, 2, (1, 1, 0), 1): (28, 29)
(15, 0, 2, (1, 1, 0), 2): (8, 9)
(15, 0, 2, (1, 1, 0), 3): (4, 6)
(15, 0, 2, (1, 1, 0), 6): (1, 1)
(15, 0, 2, (1, 1, 0), 7): (1, 1)
(15, 0, 2, (1, 1, 1), 0): (17, 28)
(15, 0, 2, (1, 1, 1), 1): (15, 19)
(15, 0, 2, (1, 1, 1), 2): (7, 7)
(15, 0, 2, (1, 1, 1), 3): (1, 1)
(15, 1, 0, (0, 0, 0), -12): (0, 1)
(15, 1, 0, (0, 0, 0), -7): (0, 2)
(15, 1, 0, (0, 0, 0), -6): (0, 2)
(15, 1, 0, (0, 0, 0), -5): (0, 7)
(15, 1, 0, (0, 0, 0), -4): (0, 7)
(15, 1, 0, (0, 0, 0), -3): (3, 28)
(15, 1, 0, (0, 0, 0), -2): (5, 56)
(15, 1, 0, (0, 0, 0), -1): (17, 97)
(15, 1, 0, (0, 0, 0), 0): (395, 599)
(15, 1, 0, (0, 0, 1), -2): (1, 1)
(15, 1, 0, (0, 0, 1), 0): (11, 12)
(15, 1, 0, (0, 1, 0), -4): (0, 1)
(15, 1, 0, (0, 1, 0), -3): (0, 1)
(15, 1, 0, (0, 1, 0), -2): (0, 2)
(15, 1, 0, (0, 1, 0), -1): (5, 7)
(15, 1, 0, (0, 1, 0), 0): (22, 32)
(15, 1, 0, (0, 1, 1), -5): (0, 1)
(15, 1, 0, (0, 1, 1), -3): (1, 1)
(15, 1, 0, (0, 1, 1), -2): (2, 2)
(15, 1, 0, (0, 1, 1), 0): (7, 7)
(15, 1, 0, (1, 0, 0), -5): (0, 1)
(15, 1, 0, (1, 0, 0), -4): (0, 1)
(15, 1, 0, (1, 0, 0), -3): (2, 11)
(15, 1, 0, (1, 0, 0), -2): (3, 15)
(15, 1, 0, (1, 0, 0), -1): (6, 23)
(15, 1, 0, (1, 0, 0), 0): (133, 174)
(15, 1, 0, (1, 0, 1), -2): (1, 1)
(15, 1, 0, (1, 0, 1), -1): (0, 1)
(15, 1, 0, (1, 0, 1), 0): (12, 12)
(15, 1, 0, (1, 1, 0), -3): (1, 5)
(15, 1, 0, (1, 1, 0), -2): (3, 3)
(15, 1, 0, (1, 1, 0), -1): (4, 4)
(15, 1, 0, (1, 1, 0), 0): (17, 20)
(15, 1, 0, (1, 1, 1), -5): (0, 1)
(15, 1, 0, (1, 1, 1), -3): (0, 1)
(15, 1, 0, (1, 1, 1), -1): (1, 1)
(15, 1, 0, (1, 1, 1), 0): (15, 15)
(15, 1, 1, (0, 0, 0), -12): (0, 1)
(15, 1, 1, (0, 0, 0), -7): (0, 2)
(15, 1, 1, (0, 0, 0), -6): (0, 2)
(15, 1, 1, (0, 0, 0), -5): (0, 6)
(15, 1, 1, (0, 0, 0), -4): (0, 5)
(15, 1, 1, (0, 0, 0), -3): (1, 17)
(15, 1, 1, (0, 0, 0), -2): (1, 38)
(15, 1, 1, (0, 0, 0), -1): (7, 69)
(15, 1, 1, (0, 0, 0), 0): (232, 393)
(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): (16, 18)
(15, 1, 1, (0, 1, 0), -7): (0, 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, 2)
(15, 1, 1, (0, 1, 0), -2): (1, 8)
(15, 1, 1, (0, 1, 0), -1): (3, 13)
(15, 1, 1, (0, 1, 0), 0): (81, 119)
(15, 1, 1, (0, 1, 1), -4): (0, 1)
(15, 1, 1, (0, 1, 1), -2): (1, 2)
(15, 1, 1, (0, 1, 1), -1): (2, 2)
(15, 1, 1, (0, 1, 1), 0): (8, 9)
(15, 1, 1, (1, 0, 0), -7): (0, 1)
(15, 1, 1, (1, 0, 0), -6): (0, 2)
(15, 1, 1, (1, 0, 0), -4): (0, 2)
(15, 1, 1, (1, 0, 0), -3): (0, 10)
(15, 1, 1, (1, 0, 0), -2): (2, 22)
(15, 1, 1, (1, 0, 0), -1): (4, 28)
(15, 1, 1, (1, 0, 0), 0): (111, 158)
(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): (25, 33)
(15, 1, 1, (1, 1, 0), -3): (0, 7)
(15, 1, 1, (1, 1, 0), -2): (2, 10)
(15, 1, 1, (1, 1, 0), -1): (3, 10)
(15, 1, 1, (1, 1, 0), 0): (61, 79)
(15, 1, 1, (1, 1, 1), -5): (0, 1)
(15, 1, 1, (1, 1, 1), -3): (0, 2)
(15, 1, 1, (1, 1, 1), -2): (0, 3)
(15, 1, 1, (1, 1, 1), -1): (3, 3)
(15, 1, 1, (1, 1, 1), 0): (25, 32)
(15, 1, 2, (0, 0, 0), -12): (0, 1)
(15, 1, 2, (0, 0, 0), -7): (0, 1)
(15, 1, 2, (0, 0, 0), -5): (0, 5)
(15, 1, 2, (0, 0, 0), -4): (0, 4)
(15, 1, 2, (0, 0, 0), -3): (1, 9)
(15, 1, 2, (0, 0, 0), -2): (0, 26)
(15, 1, 2, (0, 0, 0), -1): (4, 53)
(15, 1, 2, (0, 0, 0), 0): (156, 281)
(15, 1, 2, (0, 0, 1), -7): (0, 1)
(15, 1, 2, (0, 0, 1), -2): (0, 1)
(15, 1, 2, (0, 0, 1), -1): (2, 7)
(15, 1, 2, (0, 0, 1), 0): (20, 30)
(15, 1, 2, (0, 1, 0), -7): (0, 1)
(15, 1, 2, (0, 1, 0), -6): (0, 1)
(15, 1, 2, (0, 1, 0), -5): (0, 2)
(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, 7)
(15, 1, 2, (0, 1, 0), -1): (3, 11)
(15, 1, 2, (0, 1, 0), 0): (51, 76)
(15, 1, 2, (0, 1, 1), -4): (0, 1)
(15, 1, 2, (0, 1, 1), -3): (0, 2)
(15, 1, 2, (0, 1, 1), -2): (2, 4)
(15, 1, 2, (0, 1, 1), -1): (0, 3)
(15, 1, 2, (0, 1, 1), 0): (25, 27)
(15, 1, 2, (1, 0, 0), -6): (0, 1)
(15, 1, 2, (1, 0, 0), -5): (0, 2)
(15, 1, 2, (1, 0, 0), -4): (0, 1)
(15, 1, 2, (1, 0, 0), -3): (1, 12)
(15, 1, 2, (1, 0, 0), -2): (1, 15)
(15, 1, 2, (1, 0, 0), -1): (4, 33)
(15, 1, 2, (1, 0, 0), 0): (81, 142)
(15, 1, 2, (1, 0, 1), -2): (1, 2)
(15, 1, 2, (1, 0, 1), -1): (3, 5)
(15, 1, 2, (1, 0, 1), 0): (27, 41)
(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, 7)
(15, 1, 2, (1, 1, 0), -2): (2, 6)
(15, 1, 2, (1, 1, 0), -1): (2, 14)
(15, 1, 2, (1, 1, 0), 0): (62, 86)
(15, 1, 2, (1, 1, 1), -5): (0, 1)
(15, 1, 2, (1, 1, 1), -3): (0, 2)
(15, 1, 2, (1, 1, 1), -2): (2, 4)
(15, 1, 2, (1, 1, 1), -1): (1, 2)
(15, 1, 2, (1, 1, 1), 0): (34, 46)
(16, 0, 0, (0, 0, 0), 0): (210, 447)
(16, 0, 0, (0, 0, 0), 1): (5, 6)
(16, 0, 0, (0, 0, 0), 2): (1, 1)
(16, 0, 0, (0, 0, 0), 3): (2, 2)
(16, 0, 0, (0, 0, 1), 0): (4, 4)
(16, 0, 0, (0, 0, 1), 1): (1, 1)
(16, 0, 0, (0, 1, 0), 0): (14, 22)
(16, 0, 0, (0, 1, 0), 1): (1, 1)
(16, 0, 0, (0, 1, 0), 2): (1, 1)
(16, 0, 0, (0, 1, 1), 0): (2, 3)
(16, 0, 0, (0, 1, 1), 1): (1, 1)
(16, 0, 0, (1, 0, 0), 0): (60, 109)
(16, 0, 0, (1, 0, 0), 1): (1, 2)
(16, 0, 0, (1, 0, 0), 2): (1, 1)
(16, 0, 0, (1, 0, 1), 0): (6, 8)
(16, 0, 0, (1, 0, 1), 1): (2, 2)
(16, 0, 0, (1, 0, 1), 2): (1, 1)
(16, 0, 0, (1, 1, 0), 0): (17, 24)
(16, 0, 0, (1, 1, 0), 1): (0, 2)
(16, 0, 0, (1, 1, 0), 2): (2, 2)
(16, 0, 0, (1, 1, 0), 3): (1, 1)
(16, 0, 0, (1, 1, 1), 0): (5, 5)
(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): (132, 316)
(16, 0, 1, (0, 0, 0), 1): (15, 17)
(16, 0, 1, (0, 0, 0), 2): (3, 3)
(16, 0, 1, (0, 0, 0), 3): (4, 4)
(16, 0, 1, (0, 0, 1), 0): (8, 11)
(16, 0, 1, (0, 0, 1), 1): (1, 1)
(16, 0, 1, (0, 0, 1), 2): (4, 4)
(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): (33, 61)
(16, 0, 1, (0, 1, 0), 1): (3, 7)
(16, 0, 1, (0, 1, 0), 2): (1, 1)
(16, 0, 1, (0, 1, 0), 3): (2, 2)
(16, 0, 1, (0, 1, 0), 4): (1, 1)
(16, 0, 1, (0, 1, 1), 0): (10, 14)
(16, 0, 1, (0, 1, 1), 1): (1, 2)
(16, 0, 1, (0, 1, 1), 2): (2, 2)
(16, 0, 1, (1, 0, 0), 0): (50, 109)
(16, 0, 1, (1, 0, 0), 1): (7, 10)
(16, 0, 1, (1, 0, 0), 2): (1, 1)
(16, 0, 1, (1, 0, 0), 3): (1, 1)
(16, 0, 1, (1, 0, 1), 0): (14, 24)
(16, 0, 1, (1, 0, 1), 1): (3, 4)
(16, 0, 1, (1, 0, 1), 2): (2, 2)
(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): (26, 41)
(16, 0, 1, (1, 1, 0), 1): (10, 11)
(16, 0, 1, (1, 1, 0), 2): (4, 4)
(16, 0, 1, (1, 1, 0), 3): (2, 2)
(16, 0, 1, (1, 1, 0), 4): (1, 1)
(16, 0, 1, (1, 1, 1), 0): (12, 15)
(16, 0, 1, (1, 1, 1), 1): (6, 7)
(16, 0, 1, (1, 1, 1), 2): (2, 2)
(16, 0, 2, (0, 0, 0), 0): (85, 227)
(16, 0, 2, (0, 0, 0), 1): (14, 15)
(16, 0, 2, (0, 0, 0), 2): (5, 5)
(16, 0, 2, (0, 0, 0), 3): (3, 3)
(16, 0, 2, (0, 0, 1), 0): (9, 13)
(16, 0, 2, (0, 0, 1), 1): (3, 4)
(16, 0, 2, (0, 0, 1), 2): (3, 3)
(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): (25, 48)
(16, 0, 2, (0, 1, 0), 1): (7, 13)
(16, 0, 2, (0, 1, 0), 2): (7, 7)
(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): (2, 2)
(16, 0, 2, (0, 1, 1), 0): (3, 9)
(16, 0, 2, (0, 1, 1), 1): (4, 4)
(16, 0, 2, (0, 1, 1), 2): (4, 5)
(16, 0, 2, (0, 1, 1), 3): (1, 1)
(16, 0, 2, (0, 1, 1), 4): (1, 1)
(16, 0, 2, (1, 0, 0), 0): (47, 122)
(16, 0, 2, (1, 0, 0), 1): (17, 21)
(16, 0, 2, (1, 0, 0), 2): (2, 2)
(16, 0, 2, (1, 0, 0), 3): (5, 5)
(16, 0, 2, (1, 0, 0), 4): (1, 1)
(16, 0, 2, (1, 0, 1), 0): (12, 20)
(16, 0, 2, (1, 0, 1), 1): (7, 8)
(16, 0, 2, (1, 0, 1), 2): (7, 7)
(16, 0, 2, (1, 0, 1), 3): (3, 3)
(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): (22, 49)
(16, 0, 2, (1, 1, 0), 1): (17, 19)
(16, 0, 2, (1, 1, 0), 2): (12, 12)
(16, 0, 2, (1, 1, 0), 3): (4, 4)
(16, 0, 2, (1, 1, 0), 4): (2, 2)
(16, 0, 2, (1, 1, 0), 5): (1, 1)
(16, 0, 2, (1, 1, 1), 0): (10, 18)
(16, 0, 2, (1, 1, 1), 1): (2, 2)
(16, 0, 2, (1, 1, 1), 2): (2, 2)
(16, 1, 0, (0, 0, 0), -5): (0, 6)
(16, 1, 0, (0, 0, 0), -4): (0, 4)
(16, 1, 0, (0, 0, 0), -3): (0, 15)
(16, 1, 0, (0, 0, 0), -2): (1, 25)
(16, 1, 0, (0, 0, 0), -1): (14, 61)
(16, 1, 0, (0, 0, 0), 0): (224, 339)
(16, 1, 0, (0, 0, 1), -1): (0, 1)
(16, 1, 0, (0, 0, 1), 0): (7, 7)
(16, 1, 0, (0, 1, 0), -4): (0, 2)
(16, 1, 0, (0, 1, 0), -3): (0, 1)
(16, 1, 0, (0, 1, 0), -2): (0, 1)
(16, 1, 0, (0, 1, 0), -1): (3, 5)
(16, 1, 0, (0, 1, 0), 0): (20, 25)
(16, 1, 0, (0, 1, 1), 0): (0, 1)
(16, 1, 0, (1, 0, 0), -5): (0, 1)
(16, 1, 0, (1, 0, 0), -4): (0, 1)
(16, 1, 0, (1, 0, 0), -3): (0, 4)
(16, 1, 0, (1, 0, 0), -2): (1, 5)
(16, 1, 0, (1, 0, 0), -1): (5, 17)
(16, 1, 0, (1, 0, 0), 0): (68, 94)
(16, 1, 0, (1, 0, 1), -2): (0, 1)
(16, 1, 0, (1, 0, 1), -1): (1, 2)
(16, 1, 0, (1, 0, 1), 0): (8, 9)
(16, 1, 0, (1, 1, 0), -5): (0, 1)
(16, 1, 0, (1, 1, 0), -2): (0, 1)
(16, 1, 0, (1, 1, 0), 0): (19, 22)
(16, 1, 0, (1, 1, 1), -5): (0, 1)
(16, 1, 0, (1, 1, 1), 0): (9, 11)
(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, 11)
(16, 1, 1, (0, 0, 0), -2): (0, 19)
(16, 1, 1, (0, 0, 0), -1): (5, 39)
(16, 1, 1, (0, 0, 0), 0): (134, 220)
(16, 1, 1, (0, 0, 1), -3): (0, 1)
(16, 1, 1, (0, 0, 1), 0): (14, 15)
(16, 1, 1, (0, 1, 0), -4): (0, 2)
(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, 8)
(16, 1, 1, (0, 1, 0), 0): (38, 51)
(16, 1, 1, (0, 1, 1), -3): (0, 1)
(16, 1, 1, (0, 1, 1), -2): (0, 1)
(16, 1, 1, (0, 1, 1), 0): (6, 10)
(16, 1, 1, (1, 0, 0), -5): (0, 2)
(16, 1, 1, (1, 0, 0), -3): (0, 10)
(16, 1, 1, (1, 0, 0), -2): (0, 3)
(16, 1, 1, (1, 0, 0), -1): (7, 23)
(16, 1, 1, (1, 0, 0), 0): (48, 69)
(16, 1, 1, (1, 0, 1), -4): (0, 1)
(16, 1, 1, (1, 0, 1), -1): (0, 2)
(16, 1, 1, (1, 0, 1), 0): (16, 19)
(16, 1, 1, (1, 1, 0), -5): (0, 1)
(16, 1, 1, (1, 1, 0), -3): (0, 2)
(16, 1, 1, (1, 1, 0), -2): (0, 2)
(16, 1, 1, (1, 1, 0), -1): (2, 6)
(16, 1, 1, (1, 1, 0), 0): (32, 43)
(16, 1, 1, (1, 1, 1), -3): (0, 1)
(16, 1, 1, (1, 1, 1), -1): (0, 1)
(16, 1, 1, (1, 1, 1), 0): (13, 19)
(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, 6)
(16, 1, 2, (0, 0, 0), -2): (0, 18)
(16, 1, 2, (0, 0, 0), -1): (1, 28)
(16, 1, 2, (0, 0, 0), 0): (97, 173)
(16, 1, 2, (0, 0, 1), -3): (0, 1)
(16, 1, 2, (0, 0, 1), -1): (0, 4)
(16, 1, 2, (0, 0, 1), 0): (7, 10)
(16, 1, 2, (0, 1, 0), -3): (0, 4)
(16, 1, 2, (0, 1, 0), -2): (0, 3)
(16, 1, 2, (0, 1, 0), -1): (1, 9)
(16, 1, 2, (0, 1, 0), 0): (25, 38)
(16, 1, 2, (0, 1, 1), -3): (0, 2)
(16, 1, 2, (0, 1, 1), -1): (0, 3)
(16, 1, 2, (0, 1, 1), 0): (6, 10)
(16, 1, 2, (1, 0, 0), -3): (0, 7)
(16, 1, 2, (1, 0, 0), -2): (0, 5)
(16, 1, 2, (1, 0, 0), -1): (2, 14)
(16, 1, 2, (1, 0, 0), 0): (53, 80)
(16, 1, 2, (1, 0, 1), -2): (0, 1)
(16, 1, 2, (1, 0, 1), -1): (1, 4)
(16, 1, 2, (1, 0, 1), 0): (14, 21)
(16, 1, 2, (1, 1, 0), -5): (0, 1)
(16, 1, 2, (1, 1, 0), -3): (0, 4)
(16, 1, 2, (1, 1, 0), -2): (0, 6)
(16, 1, 2, (1, 1, 0), -1): (1, 8)
(16, 1, 2, (1, 1, 0), 0): (31, 48)
(16, 1, 2, (1, 1, 1), -3): (0, 1)
(16, 1, 2, (1, 1, 1), 0): (12, 21)
(17, 0, 0, (0, 0, 0), 0): (118, 240)
(17, 0, 0, (0, 0, 0), 1): (5, 5)
(17, 0, 0, (0, 0, 1), 0): (1, 2)
(17, 0, 0, (0, 1, 0), 0): (9, 11)
(17, 0, 0, (0, 1, 0), 2): (1, 1)
(17, 0, 0, (0, 1, 1), 0): (1, 2)
(17, 0, 0, (1, 0, 0), 0): (32, 58)
(17, 0, 0, (1, 0, 0), 1): (2, 2)
(17, 0, 0, (1, 0, 0), 5): (1, 1)
(17, 0, 0, (1, 0, 1), 0): (3, 3)
(17, 0, 0, (1, 0, 1), 1): (3, 3)
(17, 0, 0, (1, 1, 0), 0): (5, 6)
(17, 0, 0, (1, 1, 0), 1): (1, 1)
(17, 0, 0, (1, 1, 0), 2): (2, 2)
(17, 0, 0, (1, 1, 0), 3): (1, 1)
(17, 0, 0, (1, 1, 1), 0): (0, 1)
(17, 0, 0, (1, 1, 1), 1): (1, 1)
(17, 0, 0, (1, 1, 1), 2): (2, 2)
(17, 0, 1, (0, 0, 0), 0): (72, 166)
(17, 0, 1, (0, 0, 0), 1): (4, 4)
(17, 0, 1, (0, 0, 0), 2): (1, 1)
(17, 0, 1, (0, 0, 0), 3): (3, 3)
(17, 0, 1, (0, 0, 0), 4): (1, 1)
(17, 0, 1, (0, 0, 1), 0): (4, 7)
(17, 0, 1, (0, 0, 1), 1): (2, 2)
(17, 0, 1, (0, 0, 1), 2): (2, 2)
(17, 0, 1, (0, 0, 1), 3): (1, 1)
(17, 0, 1, (0, 0, 1), 5): (1, 1)
(17, 0, 1, (0, 0, 1), 6): (1, 1)
(17, 0, 1, (0, 0, 1), 7): (1, 1)
(17, 0, 1, (0, 1, 0), 0): (22, 38)
(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): (2, 3)
(17, 0, 1, (1, 0, 0), 0): (35, 68)
(17, 0, 1, (1, 0, 0), 2): (1, 1)
(17, 0, 1, (1, 0, 0), 3): (1, 1)
(17, 0, 1, (1, 0, 0), 5): (1, 1)
(17, 0, 1, (1, 0, 1), 0): (12, 15)
(17, 0, 1, (1, 0, 1), 1): (4, 5)
(17, 0, 1, (1, 0, 1), 2): (2, 2)
(17, 0, 1, (1, 0, 1), 3): (2, 2)
(17, 0, 1, (1, 1, 0), 0): (15, 21)
(17, 0, 1, (1, 1, 0), 1): (3, 3)
(17, 0, 1, (1, 1, 0), 2): (1, 1)
(17, 0, 1, (1, 1, 1), 0): (4, 6)
(17, 0, 1, (1, 1, 1), 1): (3, 3)
(17, 0, 1, (1, 1, 1), 2): (1, 1)
(17, 0, 2, (0, 0, 0), 0): (49, 122)
(17, 0, 2, (0, 0, 0), 1): (6, 6)
(17, 0, 2, (0, 0, 0), 2): (3, 3)
(17, 0, 2, (0, 0, 0), 3): (2, 2)
(17, 0, 2, (0, 0, 0), 4): (1, 1)
(17, 0, 2, (0, 0, 0), 6): (1, 1)
(17, 0, 2, (0, 0, 1), 0): (4, 12)
(17, 0, 2, (0, 0, 1), 1): (2, 3)
(17, 0, 2, (0, 0, 1), 2): (1, 2)
(17, 0, 2, (0, 0, 1), 7): (1, 1)
(17, 0, 2, (0, 1, 0), 0): (14, 30)
(17, 0, 2, (0, 1, 0), 1): (4, 5)
(17, 0, 2, (0, 1, 0), 2): (4, 4)
(17, 0, 2, (0, 1, 0), 3): (2, 2)
(17, 0, 2, (0, 1, 0), 4): (3, 3)
(17, 0, 2, (0, 1, 0), 5): (2, 2)
(17, 0, 2, (0, 1, 0), 6): (1, 1)
(17, 0, 2, (0, 1, 1), 0): (3, 6)
(17, 0, 2, (0, 1, 1), 1): (1, 3)
(17, 0, 2, (0, 1, 1), 2): (1, 1)
(17, 0, 2, (1, 0, 0), 0): (25, 60)
(17, 0, 2, (1, 0, 0), 1): (9, 12)
(17, 0, 2, (1, 0, 0), 2): (4, 4)
(17, 0, 2, (1, 0, 0), 3): (2, 2)
(17, 0, 2, (1, 0, 0), 4): (1, 1)
(17, 0, 2, (1, 0, 0), 5): (2, 2)
(17, 0, 2, (1, 0, 1), 0): (7, 12)
(17, 0, 2, (1, 0, 1), 1): (1, 3)
(17, 0, 2, (1, 0, 1), 2): (4, 5)
(17, 0, 2, (1, 1, 0), 0): (18, 32)
(17, 0, 2, (1, 1, 0), 1): (9, 11)
(17, 0, 2, (1, 1, 0), 2): (4, 4)
(17, 0, 2, (1, 1, 0), 3): (1, 1)
(17, 0, 2, (1, 1, 0), 4): (1, 1)
(17, 0, 2, (1, 1, 1), 0): (6, 9)
(17, 0, 2, (1, 1, 1), 1): (4, 4)
(17, 0, 2, (1, 1, 1), 2): (1, 1)
(17, 0, 2, (1, 1, 1), 3): (1, 1)
(17, 1, 0, (0, 0, 0), -7): (0, 1)
(17, 1, 0, (0, 0, 0), -6): (0, 1)
(17, 1, 0, (0, 0, 0), -5): (0, 2)
(17, 1, 0, (0, 0, 0), -4): (0, 3)
(17, 1, 0, (0, 0, 0), -3): (1, 8)
(17, 1, 0, (0, 0, 0), -2): (0, 14)
(17, 1, 0, (0, 0, 0), -1): (4, 26)
(17, 1, 0, (0, 0, 0), 0): (119, 188)
(17, 1, 0, (0, 0, 1), -5): (0, 1)
(17, 1, 0, (0, 0, 1), 0): (2, 2)
(17, 1, 0, (0, 1, 0), -4): (0, 1)
(17, 1, 0, (0, 1, 0), -3): (1, 1)
(17, 1, 0, (0, 1, 0), 0): (5, 9)
(17, 1, 0, (0, 1, 1), -3): (0, 1)
(17, 1, 0, (0, 1, 1), -2): (1, 1)
(17, 1, 0, (0, 1, 1), 0): (1, 1)
(17, 1, 0, (1, 0, 0), -6): (0, 1)
(17, 1, 0, (1, 0, 0), -4): (0, 2)
(17, 1, 0, (1, 0, 0), -3): (0, 3)
(17, 1, 0, (1, 0, 0), -2): (1, 4)
(17, 1, 0, (1, 0, 0), -1): (2, 6)
(17, 1, 0, (1, 0, 0), 0): (35, 49)
(17, 1, 0, (1, 0, 1), -1): (0, 1)
(17, 1, 0, (1, 0, 1), 0): (2, 3)
(17, 1, 0, (1, 1, 0), -6): (0, 1)
(17, 1, 0, (1, 1, 0), -3): (0, 2)
(17, 1, 0, (1, 1, 0), -2): (0, 1)
(17, 1, 0, (1, 1, 0), 0): (11, 12)
(17, 1, 0, (1, 1, 1), -6): (0, 1)
(17, 1, 0, (1, 1, 1), 0): (5, 6)
(17, 1, 1, (0, 0, 0), -7): (0, 1)
(17, 1, 1, (0, 0, 0), -5): (0, 1)
(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, 12)
(17, 1, 1, (0, 0, 0), -1): (0, 18)
(17, 1, 1, (0, 0, 0), 0): (75, 126)
(17, 1, 1, (0, 0, 1), -1): (1, 1)
(17, 1, 1, (0, 0, 1), 0): (2, 4)
(17, 1, 1, (0, 1, 0), -7): (0, 1)
(17, 1, 1, (0, 1, 0), -4): (0, 1)
(17, 1, 1, (0, 1, 0), -2): (0, 2)
(17, 1, 1, (0, 1, 0), -1): (2, 4)
(17, 1, 1, (0, 1, 0), 0): (26, 36)
(17, 1, 1, (0, 1, 1), 0): (3, 3)
(17, 1, 1, (1, 0, 0), -5): (0, 1)
(17, 1, 1, (1, 0, 0), -4): (0, 1)
(17, 1, 1, (1, 0, 0), -2): (0, 2)
(17, 1, 1, (1, 0, 0), -1): (0, 3)
(17, 1, 1, (1, 0, 0), 0): (32, 46)
(17, 1, 1, (1, 0, 1), -7): (0, 1)
(17, 1, 1, (1, 0, 1), -1): (0, 1)
(17, 1, 1, (1, 0, 1), 0): (6, 7)
(17, 1, 1, (1, 1, 0), -5): (0, 1)
(17, 1, 1, (1, 1, 0), -3): (0, 1)
(17, 1, 1, (1, 1, 0), -2): (0, 1)
(17, 1, 1, (1, 1, 0), -1): (1, 2)
(17, 1, 1, (1, 1, 0), 0): (23, 28)
(17, 1, 1, (1, 1, 1), -6): (0, 1)
(17, 1, 1, (1, 1, 1), -5): (0, 1)
(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): (12, 13)
(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, 11)
(17, 1, 2, (0, 0, 0), -1): (0, 17)
(17, 1, 2, (0, 0, 0), 0): (45, 89)
(17, 1, 2, (0, 0, 1), -4): (0, 1)
(17, 1, 2, (0, 0, 1), -1): (1, 1)
(17, 1, 2, (0, 0, 1), 0): (3, 6)
(17, 1, 2, (0, 1, 0), -2): (0, 3)
(17, 1, 2, (0, 1, 0), -1): (0, 4)
(17, 1, 2, (0, 1, 0), 0): (17, 26)
(17, 1, 2, (0, 1, 1), 0): (4, 6)
(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, 3)
(17, 1, 2, (1, 0, 0), -1): (0, 5)
(17, 1, 2, (1, 0, 0), 0): (22, 42)
(17, 1, 2, (1, 0, 1), -4): (0, 1)
(17, 1, 2, (1, 0, 1), 0): (4, 5)
(17, 1, 2, (1, 1, 0), -1): (0, 4)
(17, 1, 2, (1, 1, 0), 0): (15, 23)
(17, 1, 2, (1, 1, 1), -6): (0, 1)
(17, 1, 2, (1, 1, 1), -1): (0, 1)
(17, 1, 2, (1, 1, 1), 0): (3, 7)
(18, 0, 0, (0, 0, 0), 0): (71, 139)
(18, 0, 0, (0, 0, 0), 1): (4, 4)
(18, 0, 0, (0, 0, 0), 2): (1, 1)
(18, 0, 0, (0, 1, 0), 0): (5, 10)
(18, 0, 0, (0, 1, 1), 0): (1, 1)
(18, 0, 0, (1, 0, 0), 0): (24, 40)
(18, 0, 0, (1, 0, 1), 0): (4, 4)
(18, 0, 0, (1, 0, 1), 1): (1, 1)
(18, 0, 0, (1, 1, 0), 0): (6, 7)
(18, 0, 0, (1, 1, 0), 1): (1, 1)
(18, 0, 0, (1, 1, 1), 0): (2, 2)
(18, 0, 0, (1, 1, 1), 1): (1, 1)
(18, 0, 1, (0, 0, 0), 0): (41, 92)
(18, 0, 1, (0, 0, 0), 1): (5, 5)
(18, 0, 1, (0, 0, 0), 2): (2, 2)
(18, 0, 1, (0, 0, 1), 0): (2, 5)
(18, 0, 1, (0, 0, 1), 1): (2, 2)
(18, 0, 1, (0, 1, 0), 0): (8, 17)
(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): (3, 3)
(18, 0, 1, (0, 1, 1), 1): (3, 3)
(18, 0, 1, (0, 1, 1), 2): (2, 2)
(18, 0, 1, (0, 1, 1), 3): (1, 1)
(18, 0, 1, (1, 0, 0), 0): (16, 41)
(18, 0, 1, (1, 0, 0), 1): (5, 5)
(18, 0, 1, (1, 0, 0), 2): (1, 1)
(18, 0, 1, (1, 0, 0), 5): (1, 1)
(18, 0, 1, (1, 0, 1), 0): (7, 9)
(18, 0, 1, (1, 0, 1), 1): (4, 4)
(18, 0, 1, (1, 0, 1), 2): (0, 1)
(18, 0, 1, (1, 0, 1), 5): (1, 1)
(18, 0, 1, (1, 1, 0), 0): (5, 11)
(18, 0, 1, (1, 1, 0), 1): (6, 6)
(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): (5, 6)
(18, 0, 1, (1, 1, 1), 1): (2, 2)
(18, 0, 1, (1, 1, 1), 2): (2, 2)
(18, 0, 1, (1, 1, 1), 3): (1, 1)
(18, 0, 2, (0, 0, 0), 0): (29, 65)
(18, 0, 2, (0, 0, 0), 1): (5, 5)
(18, 0, 2, (0, 0, 0), 2): (1, 1)
(18, 0, 2, (0, 0, 0), 3): (1, 1)
(18, 0, 2, (0, 0, 1), 0): (3, 5)
(18, 0, 2, (0, 1, 0), 0): (5, 15)
(18, 0, 2, (0, 1, 0), 1): (2, 3)
(18, 0, 2, (0, 1, 0), 2): (4, 4)
(18, 0, 2, (0, 1, 0), 3): (1, 1)
(18, 0, 2, (0, 1, 1), 0): (2, 4)
(18, 0, 2, (0, 1, 1), 1): (2, 2)
(18, 0, 2, (0, 1, 1), 5): (1, 1)
(18, 0, 2, (1, 0, 0), 0): (15, 37)
(18, 0, 2, (1, 0, 0), 1): (5, 5)
(18, 0, 2, (1, 0, 0), 2): (1, 1)
(18, 0, 2, (1, 0, 1), 0): (3, 4)
(18, 0, 2, (1, 0, 1), 1): (4, 4)
(18, 0, 2, (1, 0, 1), 2): (5, 5)
(18, 0, 2, (1, 0, 1), 4): (1, 1)
(18, 0, 2, (1, 0, 1), 5): (1, 1)
(18, 0, 2, (1, 1, 0), 0): (6, 14)
(18, 0, 2, (1, 1, 0), 1): (6, 6)
(18, 0, 2, (1, 1, 0), 2): (4, 4)
(18, 0, 2, (1, 1, 0), 3): (2, 2)
(18, 0, 2, (1, 1, 0), 4): (1, 1)
(18, 0, 2, (1, 1, 0), 5): (1, 1)
(18, 0, 2, (1, 1, 1), 0): (2, 2)
(18, 0, 2, (1, 1, 1), 1): (1, 1)
(18, 0, 2, (1, 1, 1), 2): (2, 2)
(18, 0, 2, (1, 1, 1), 5): (1, 1)
(18, 1, 0, (0, 0, 0), -5): (0, 2)
(18, 1, 0, (0, 0, 0), -4): (0, 1)
(18, 1, 0, (0, 0, 0), -3): (0, 3)
(18, 1, 0, (0, 0, 0), -2): (1, 11)
(18, 1, 0, (0, 0, 0), -1): (2, 23)
(18, 1, 0, (0, 0, 0), 0): (65, 100)
(18, 1, 0, (0, 1, 0), -3): (0, 1)
(18, 1, 0, (0, 1, 0), -2): (1, 1)
(18, 1, 0, (0, 1, 0), -1): (0, 2)
(18, 1, 0, (0, 1, 0), 0): (4, 7)
(18, 1, 0, (0, 1, 1), 0): (1, 1)
(18, 1, 0, (1, 0, 0), -3): (0, 2)
(18, 1, 0, (1, 0, 0), -2): (0, 1)
(18, 1, 0, (1, 0, 0), -1): (2, 6)
(18, 1, 0, (1, 0, 0), 0): (15, 18)
(18, 1, 0, (1, 0, 1), -2): (1, 1)
(18, 1, 0, (1, 0, 1), -1): (0, 1)
(18, 1, 0, (1, 0, 1), 0): (3, 4)
(18, 1, 0, (1, 1, 0), -1): (0, 1)
(18, 1, 0, (1, 1, 0), 0): (6, 6)
(18, 1, 0, (1, 1, 1), 0): (2, 2)
(18, 1, 1, (0, 0, 0), -5): (0, 2)
(18, 1, 1, (0, 0, 0), -4): (0, 1)
(18, 1, 1, (0, 0, 0), -3): (0, 1)
(18, 1, 1, (0, 0, 0), -2): (0, 9)
(18, 1, 1, (0, 0, 0), -1): (0, 15)
(18, 1, 1, (0, 0, 0), 0): (45, 75)
(18, 1, 1, (0, 0, 1), -1): (0, 1)
(18, 1, 1, (0, 0, 1), 0): (3, 4)
(18, 1, 1, (0, 1, 0), -5): (0, 1)
(18, 1, 1, (0, 1, 0), 0): (8, 10)
(18, 1, 1, (0, 1, 1), 0): (3, 4)
(18, 1, 1, (1, 0, 0), -3): (0, 1)
(18, 1, 1, (1, 0, 0), -2): (0, 4)
(18, 1, 1, (1, 0, 0), -1): (2, 7)
(18, 1, 1, (1, 0, 0), 0): (17, 26)
(18, 1, 1, (1, 0, 1), -5): (0, 1)
(18, 1, 1, (1, 0, 1), -1): (0, 1)
(18, 1, 1, (1, 0, 1), 0): (6, 7)
(18, 1, 1, (1, 1, 0), -2): (0, 1)
(18, 1, 1, (1, 1, 0), -1): (1, 2)
(18, 1, 1, (1, 1, 0), 0): (5, 8)
(18, 1, 1, (1, 1, 1), -1): (1, 2)
(18, 1, 1, (1, 1, 1), 0): (8, 10)
(18, 1, 2, (0, 0, 0), -5): (0, 1)
(18, 1, 2, (0, 0, 0), -4): (0, 1)
(18, 1, 2, (0, 0, 0), -3): (0, 1)
(18, 1, 2, (0, 0, 0), -2): (0, 6)
(18, 1, 2, (0, 0, 0), -1): (0, 13)
(18, 1, 2, (0, 0, 0), 0): (28, 52)
(18, 1, 2, (0, 0, 1), 0): (5, 6)
(18, 1, 2, (0, 1, 0), -5): (0, 1)
(18, 1, 2, (0, 1, 0), -2): (0, 1)
(18, 1, 2, (0, 1, 0), -1): (0, 1)
(18, 1, 2, (0, 1, 0), 0): (7, 12)
(18, 1, 2, (0, 1, 1), 0): (3, 3)
(18, 1, 2, (1, 0, 0), -3): (0, 1)
(18, 1, 2, (1, 0, 0), -2): (0, 2)
(18, 1, 2, (1, 0, 0), -1): (0, 9)
(18, 1, 2, (1, 0, 0), 0): (13, 22)
(18, 1, 2, (1, 0, 1), -5): (0, 1)
(18, 1, 2, (1, 0, 1), 0): (4, 5)
(18, 1, 2, (1, 1, 0), -2): (0, 1)
(18, 1, 2, (1, 1, 0), -1): (0, 3)
(18, 1, 2, (1, 1, 0), 0): (4, 7)
(18, 1, 2, (1, 1, 1), -2): (0, 1)
(18, 1, 2, (1, 1, 1), -1): (0, 1)
(18, 1, 2, (1, 1, 1), 0): (2, 4)
(19, 0, 0, (0, 0, 0), 0): (38, 72)
(19, 0, 0, (0, 0, 0), 1): (2, 2)
(19, 0, 0, (0, 0, 1), 1): (1, 1)
(19, 0, 0, (0, 1, 0), 0): (0, 3)
(19, 0, 0, (1, 0, 0), 0): (13, 24)
(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): (23, 44)
(19, 0, 1, (0, 0, 0), 1): (4, 4)
(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): (11, 18)
(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): (1, 2)
(19, 0, 1, (0, 1, 1), 1): (2, 2)
(19, 0, 1, (1, 0, 0), 0): (7, 15)
(19, 0, 1, (1, 0, 0), 1): (1, 1)
(19, 0, 1, (1, 1, 0), 0): (7, 12)
(19, 0, 1, (1, 1, 0), 1): (0, 1)
(19, 0, 1, (1, 1, 0), 2): (1, 1)
(19, 0, 1, (1, 1, 1), 0): (1, 2)
(19, 0, 1, (1, 1, 1), 1): (3, 4)
(19, 0, 1, (1, 1, 1), 2): (0, 1)
(19, 0, 2, (0, 0, 0), 0): (14, 33)
(19, 0, 2, (0, 0, 0), 1): (3, 3)
(19, 0, 2, (0, 0, 0), 2): (1, 1)
(19, 0, 2, (0, 0, 1), 0): (3, 4)
(19, 0, 2, (0, 0, 1), 4): (1, 1)
(19, 0, 2, (0, 1, 0), 0): (6, 11)
(19, 0, 2, (0, 1, 0), 1): (3, 3)
(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), 1): (1, 1)
(19, 0, 2, (0, 1, 1), 2): (2, 2)
(19, 0, 2, (1, 0, 0), 0): (5, 19)
(19, 0, 2, (1, 0, 0), 1): (1, 2)
(19, 0, 2, (1, 0, 0), 5): (1, 1)
(19, 0, 2, (1, 0, 1), 0): (3, 4)
(19, 0, 2, (1, 0, 1), 1): (1, 1)
(19, 0, 2, (1, 0, 1), 3): (2, 2)
(19, 0, 2, (1, 1, 0), 0): (4, 10)
(19, 0, 2, (1, 1, 0), 1): (2, 3)
(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): (4, 4)
(19, 0, 2, (1, 1, 1), 2): (0, 1)
(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, 2)
(19, 1, 0, (0, 0, 0), -2): (1, 4)
(19, 1, 0, (0, 0, 0), -1): (2, 10)
(19, 1, 0, (0, 0, 0), 0): (31, 53)
(19, 1, 0, (0, 1, 0), -2): (1, 1)
(19, 1, 0, (0, 1, 0), 0): (3, 3)
(19, 1, 0, (1, 0, 0), -2): (1, 1)
(19, 1, 0, (1, 0, 0), -1): (1, 6)
(19, 1, 0, (1, 0, 0), 0): (9, 11)
(19, 1, 0, (1, 0, 1), -2): (1, 1)
(19, 1, 0, (1, 0, 1), 0): (1, 1)
(19, 1, 0, (1, 1, 0), 0): (6, 6)
(19, 1, 0, (1, 1, 1), -2): (1, 1)
(19, 1, 0, (1, 1, 1), 0): (3, 3)
(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, 2)
(19, 1, 1, (0, 0, 0), -2): (0, 3)
(19, 1, 1, (0, 0, 0), -1): (1, 5)
(19, 1, 1, (0, 0, 0), 0): (16, 36)
(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): (1, 4)
(19, 1, 1, (0, 1, 0), 0): (6, 7)
(19, 1, 1, (0, 1, 1), 0): (3, 3)
(19, 1, 1, (1, 0, 0), -1): (1, 4)
(19, 1, 1, (1, 0, 0), 0): (10, 14)
(19, 1, 1, (1, 0, 1), 0): (2, 2)
(19, 1, 1, (1, 1, 0), -1): (0, 1)
(19, 1, 1, (1, 1, 0), 0): (6, 8)
(19, 1, 1, (1, 1, 1), 0): (3, 3)
(19, 1, 2, (0, 0, 0), -4): (0, 2)
(19, 1, 2, (0, 0, 0), -3): (0, 2)
(19, 1, 2, (0, 0, 0), -2): (0, 2)
(19, 1, 2, (0, 0, 0), -1): (0, 2)
(19, 1, 2, (0, 0, 0), 0): (7, 24)
(19, 1, 2, (0, 0, 1), -1): (0, 2)
(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): (1, 2)
(19, 1, 2, (0, 1, 0), 0): (5, 7)
(19, 1, 2, (0, 1, 1), -1): (0, 1)
(19, 1, 2, (0, 1, 1), 0): (2, 2)
(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): (3, 14)
(19, 1, 2, (1, 0, 1), -3): (0, 1)
(19, 1, 2, (1, 0, 1), 0): (4, 4)
(19, 1, 2, (1, 1, 0), -5): (0, 1)
(19, 1, 2, (1, 1, 0), 0): (4, 10)
(19, 1, 2, (1, 1, 1), -5): (0, 1)
(19, 1, 2, (1, 1, 1), 0): (3, 3)
(20, 0, 0, (0, 0, 0), 0): (24, 37)
(20, 0, 0, (0, 0, 0), 1): (1, 1)
(20, 0, 0, (0, 1, 0), 1): (1, 1)
(20, 0, 0, (1, 0, 0), 0): (9, 10)
(20, 0, 0, (1, 0, 1), 0): (1, 1)
(20, 0, 0, (1, 0, 1), 1): (1, 1)
(20, 0, 0, (1, 1, 0), 0): (4, 4)
(20, 0, 0, (1, 1, 0), 2): (1, 1)
(20, 0, 0, (1, 1, 1), 0): (1, 1)
(20, 0, 0, (1, 1, 1), 1): (1, 1)
(20, 0, 0, (1, 1, 1), 2): (1, 1)
(20, 0, 1, (0, 0, 0), 0): (16, 29)
(20, 0, 1, (0, 0, 0), 2): (1, 1)
(20, 0, 1, (0, 0, 1), 1): (1, 1)
(20, 0, 1, (0, 1, 0), 0): (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): (7, 11)
(20, 0, 1, (1, 0, 0), 1): (1, 1)
(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): (2, 2)
(20, 0, 1, (1, 1, 1), 2): (2, 2)
(20, 0, 1, (1, 1, 1), 3): (1, 1)
(20, 0, 2, (0, 0, 0), 0): (11, 20)
(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): (3, 4)
(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): (7, 9)
(20, 0, 2, (1, 0, 0), 1): (2, 2)
(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, 0), 4): (1, 1)
(20, 0, 2, (1, 1, 1), 0): (0, 1)
(20, 0, 2, (1, 1, 1), 2): (1, 1)
(20, 1, 0, (0, 0, 0), -4): (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, 6)
(20, 1, 0, (0, 0, 0), 0): (12, 26)
(20, 1, 0, (0, 0, 1), 0): (1, 1)
(20, 1, 0, (1, 0, 0), -4): (0, 1)
(20, 1, 0, (1, 0, 0), -2): (0, 1)
(20, 1, 0, (1, 0, 0), -1): (1, 2)
(20, 1, 0, (1, 0, 0), 0): (4, 6)
(20, 1, 0, (1, 0, 1), 0): (1, 1)
(20, 1, 0, (1, 1, 0), -4): (0, 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, 4)
(20, 1, 1, (0, 0, 0), 0): (7, 19)
(20, 1, 1, (0, 1, 0), -1): (0, 1)
(20, 1, 1, (0, 1, 0), 0): (3, 3)
(20, 1, 1, (1, 0, 0), -2): (0, 1)
(20, 1, 1, (1, 0, 0), -1): (0, 1)
(20, 1, 1, (1, 0, 0), 0): (5, 9)
(20, 1, 1, (1, 0, 1), 0): (1, 1)
(20, 1, 1, (1, 1, 0), -4): (0, 1)
(20, 1, 1, (1, 1, 0), 0): (5, 5)
(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, 4)
(20, 1, 2, (0, 0, 0), 0): (3, 13)
(20, 1, 2, (0, 1, 0), -1): (0, 1)
(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, 2)
(20, 1, 2, (1, 0, 0), 0): (1, 6)
(20, 1, 2, (1, 0, 1), -4): (0, 1)
(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, 2)
(20, 1, 2, (1, 1, 0), 0): (2, 3)
(20, 1, 2, (1, 1, 1), -1): (0, 1)
(21, 0, 0, (0, 0, 0), 0): (14, 21)
(21, 0, 0, (0, 1, 1), 0): (1, 2)
(21, 0, 0, (1, 0, 0), 0): (6, 7)
(21, 0, 0, (1, 1, 0), 0): (0, 1)
(21, 0, 1, (0, 0, 0), 0): (8, 14)
(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): (4, 4)
(21, 0, 1, (0, 1, 1), 0): (2, 3)
(21, 0, 1, (1, 0, 0), 0): (4, 5)
(21, 0, 1, (1, 0, 1), 0): (1, 1)
(21, 0, 1, (1, 1, 0), 0): (1, 2)
(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): (5, 10)
(21, 0, 2, (0, 0, 0), 2): (1, 1)
(21, 0, 2, (0, 0, 0), 3): (1, 2)
(21, 0, 2, (0, 1, 0), 0): (3, 3)
(21, 0, 2, (0, 1, 0), 1): (2, 2)
(21, 0, 2, (0, 1, 1), 0): (1, 1)
(21, 0, 2, (0, 1, 1), 2): (2, 2)
(21, 0, 2, (1, 0, 0), 0): (5, 7)
(21, 0, 2, (1, 0, 0), 3): (1, 1)
(21, 0, 2, (1, 0, 1), 0): (1, 1)
(21, 0, 2, (1, 0, 1), 1): (0, 1)
(21, 0, 2, (1, 1, 0), 0): (2, 6)
(21, 0, 2, (1, 1, 0), 1): (2, 2)
(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, 3)
(21, 1, 0, (0, 0, 0), -1): (1, 4)
(21, 1, 0, (0, 0, 0), 0): (5, 12)
(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, 2)
(21, 1, 0, (1, 0, 0), -1): (0, 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, 2)
(21, 1, 1, (0, 0, 0), -1): (0, 2)
(21, 1, 1, (0, 0, 0), 0): (5, 10)
(21, 1, 1, (0, 0, 1), -1): (1, 1)
(21, 1, 1, (0, 1, 0), -2): (0, 1)
(21, 1, 1, (0, 1, 0), -1): (0, 1)
(21, 1, 1, (0, 1, 0), 0): (0, 3)
(21, 1, 1, (1, 0, 0), 0): (2, 3)
(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, 2)
(21, 1, 2, (0, 0, 0), -1): (0, 2)
(21, 1, 2, (0, 0, 0), 0): (4, 7)
(21, 1, 2, (0, 0, 1), -1): (0, 1)
(21, 1, 2, (0, 1, 0), -2): (0, 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): (4, 6)
(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): (7, 13)
(22, 0, 0, (0, 0, 0), 1): (1, 1)
(22, 0, 0, (1, 0, 0), 0): (3, 3)
(22, 0, 1, (0, 0, 0), 0): (3, 9)
(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): (2, 2)
(22, 0, 1, (1, 0, 0), 0): (2, 3)
(22, 0, 1, (1, 0, 0), 1): (1, 1)
(22, 0, 2, (0, 0, 0), 0): (2, 7)
(22, 0, 2, (0, 0, 0), 1): (1, 1)
(22, 0, 2, (0, 0, 0), 2): (1, 1)
(22, 0, 2, (0, 0, 1), 0): (1, 1)
(22, 0, 2, (0, 1, 0), 0): (1, 2)
(22, 0, 2, (0, 1, 0), 1): (1, 1)
(22, 0, 2, (1, 0, 0), 0): (2, 4)
(22, 0, 2, (1, 0, 0), 1): (1, 1)
(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, 4)
(22, 1, 0, (0, 0, 0), 0): (6, 8)
(22, 1, 0, (1, 0, 0), -1): (0, 2)
(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, 2)
(22, 1, 1, (0, 0, 0), 0): (4, 5)
(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): (4, 4)
(22, 1, 1, (1, 0, 1), 0): (1, 1)
(22, 1, 1, (1, 1, 0), 0): (2, 3)
(22, 1, 1, (1, 1, 1), 0): (1, 1)
(22, 1, 2, (0, 0, 0), -2): (0, 1)
(22, 1, 2, (0, 0, 0), -1): (0, 3)
(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, 2)
(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, 1), -1): (0, 1)
(23, 0, 0, (0, 0, 0), 0): (2, 4)
(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, (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, 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, 2, (0, 0, 0), -1): (0, 1)
(25, 1, 2, (1, 0, 0), -1): (0, 1)