stats19702004

(1, 0, 0, (0, 0, 0), 0): (26951, 58531)
(1, 0, 0, (0, 0, 0), 1): (469, 825)
(1, 0, 0, (0, 0, 0), 2): (154, 231)
(1, 0, 0, (0, 0, 0), 3): (114, 158)
(1, 0, 0, (0, 0, 0), 4): (50, 64)
(1, 0, 0, (0, 0, 0), 5): (12, 13)
(1, 0, 0, (0, 0, 0), 6): (4, 4)
(1, 0, 0, (0, 0, 0), 8): (1, 1)
(1, 0, 0, (0, 0, 1), 0): (529, 967)
(1, 0, 0, (0, 0, 1), 1): (127, 196)
(1, 0, 0, (0, 0, 1), 2): (43, 59)
(1, 0, 0, (0, 0, 1), 3): (15, 19)
(1, 0, 0, (0, 0, 1), 4): (2, 3)
(1, 0, 0, (0, 0, 1), 5): (1, 2)
(1, 0, 0, (0, 0, 1), 7): (1, 1)
(1, 0, 0, (0, 1, 0), 0): (2695, 5080)
(1, 0, 0, (0, 1, 0), 1): (308, 520)
(1, 0, 0, (0, 1, 0), 2): (105, 157)
(1, 0, 0, (0, 1, 0), 3): (34, 49)
(1, 0, 0, (0, 1, 0), 4): (10, 11)
(1, 0, 0, (0, 1, 0), 5): (7, 7)
(1, 0, 0, (0, 1, 0), 6): (5, 5)
(1, 0, 0, (0, 1, 1), 0): (374, 624)
(1, 0, 0, (0, 1, 1), 1): (154, 213)
(1, 0, 0, (0, 1, 1), 2): (45, 59)
(1, 0, 0, (0, 1, 1), 3): (21, 27)
(1, 0, 0, (0, 1, 1), 4): (4, 5)
(1, 0, 0, (0, 1, 1), 5): (1, 1)
(1, 0, 0, (1, 0, 0), 0): (7712, 15379)
(1, 0, 0, (1, 0, 0), 1): (370, 638)
(1, 0, 0, (1, 0, 0), 2): (104, 157)
(1, 0, 0, (1, 0, 0), 3): (46, 62)
(1, 0, 0, (1, 0, 0), 4): (20, 25)
(1, 0, 0, (1, 0, 0), 5): (4, 4)
(1, 0, 0, (1, 0, 0), 6): (1, 2)
(1, 0, 0, (1, 0, 0), 7): (1, 1)
(1, 0, 0, (1, 0, 1), 0): (838, 1473)
(1, 0, 0, (1, 0, 1), 1): (225, 355)
(1, 0, 0, (1, 0, 1), 2): (75, 98)
(1, 0, 0, (1, 0, 1), 3): (18, 25)
(1, 0, 0, (1, 0, 1), 4): (6, 6)
(1, 0, 0, (1, 0, 1), 5): (5, 5)
(1, 0, 0, (1, 0, 1), 7): (1, 1)
(1, 0, 0, (1, 1, 0), 0): (1509, 2725)
(1, 0, 0, (1, 1, 0), 1): (277, 447)
(1, 0, 0, (1, 1, 0), 2): (122, 158)
(1, 0, 0, (1, 1, 0), 3): (38, 50)
(1, 0, 0, (1, 1, 0), 4): (13, 15)
(1, 0, 0, (1, 1, 0), 5): (2, 2)
(1, 0, 0, (1, 1, 0), 6): (2, 2)
(1, 0, 0, (1, 1, 1), 0): (340, 533)
(1, 0, 0, (1, 1, 1), 1): (113, 164)
(1, 0, 0, (1, 1, 1), 2): (50, 60)
(1, 0, 0, (1, 1, 1), 3): (19, 20)
(1, 0, 0, (1, 1, 1), 4): (6, 6)
(1, 0, 0, (1, 1, 1), 5): (5, 5)
(1, 0, 0, (1, 1, 1), 6): (1, 1)
(1, 0, 0, (1, 1, 1), 7): (1, 1)
(1, 0, 1, (0, 0, 0), 0): (17737, 40613)
(1, 0, 1, (0, 0, 0), 1): (820, 1480)
(1, 0, 1, (0, 0, 0), 2): (558, 866)
(1, 0, 1, (0, 0, 0), 3): (338, 489)
(1, 0, 1, (0, 0, 0), 4): (170, 217)
(1, 0, 1, (0, 0, 0), 5): (61, 70)
(1, 0, 1, (0, 0, 0), 6): (16, 16)
(1, 0, 1, (0, 0, 0), 7): (1, 1)
(1, 0, 1, (0, 0, 0), 8): (1, 1)
(1, 0, 1, (0, 0, 0), 9): (1, 2)
(1, 0, 1, (0, 0, 1), 0): (1443, 2744)
(1, 0, 1, (0, 0, 1), 1): (369, 613)
(1, 0, 1, (0, 0, 1), 2): (150, 224)
(1, 0, 1, (0, 0, 1), 3): (59, 83)
(1, 0, 1, (0, 0, 1), 4): (24, 29)
(1, 0, 1, (0, 0, 1), 5): (11, 11)
(1, 0, 1, (0, 0, 1), 6): (3, 3)
(1, 0, 1, (0, 0, 1), 7): (3, 3)
(1, 0, 1, (0, 1, 0), 0): (3433, 7100)
(1, 0, 1, (0, 1, 0), 1): (800, 1436)
(1, 0, 1, (0, 1, 0), 2): (337, 501)
(1, 0, 1, (0, 1, 0), 3): (144, 186)
(1, 0, 1, (0, 1, 0), 4): (57, 65)
(1, 0, 1, (0, 1, 0), 5): (21, 23)
(1, 0, 1, (0, 1, 0), 6): (5, 5)
(1, 0, 1, (0, 1, 0), 7): (1, 1)
(1, 0, 1, (0, 1, 0), 8): (3, 3)
(1, 0, 1, (0, 1, 1), 0): (653, 1205)
(1, 0, 1, (0, 1, 1), 1): (308, 493)
(1, 0, 1, (0, 1, 1), 2): (144, 204)
(1, 0, 1, (0, 1, 1), 3): (69, 86)
(1, 0, 1, (0, 1, 1), 4): (21, 30)
(1, 0, 1, (0, 1, 1), 5): (7, 9)
(1, 0, 1, (0, 1, 1), 6): (5, 6)
(1, 0, 1, (0, 1, 1), 7): (1, 1)
(1, 0, 1, (0, 1, 1), 8): (1, 1)
(1, 0, 1, (1, 0, 0), 0): (6860, 14697)
(1, 0, 1, (1, 0, 0), 1): (991, 1769)
(1, 0, 1, (1, 0, 0), 2): (402, 625)
(1, 0, 1, (1, 0, 0), 3): (196, 268)
(1, 0, 1, (1, 0, 0), 4): (86, 104)
(1, 0, 1, (1, 0, 0), 5): (35, 40)
(1, 0, 1, (1, 0, 0), 6): (10, 11)
(1, 0, 1, (1, 0, 0), 7): (2, 2)
(1, 0, 1, (1, 0, 1), 0): (1117, 2123)
(1, 0, 1, (1, 0, 1), 1): (471, 777)
(1, 0, 1, (1, 0, 1), 2): (208, 278)
(1, 0, 1, (1, 0, 1), 3): (86, 116)
(1, 0, 1, (1, 0, 1), 4): (39, 44)
(1, 0, 1, (1, 0, 1), 5): (9, 10)
(1, 0, 1, (1, 0, 1), 6): (6, 6)
(1, 0, 1, (1, 0, 1), 7): (4, 4)
(1, 0, 1, (1, 1, 0), 0): (2125, 4206)
(1, 0, 1, (1, 1, 0), 1): (702, 1193)
(1, 0, 1, (1, 1, 0), 2): (318, 480)
(1, 0, 1, (1, 1, 0), 3): (125, 168)
(1, 0, 1, (1, 1, 0), 4): (48, 61)
(1, 0, 1, (1, 1, 0), 5): (30, 30)
(1, 0, 1, (1, 1, 0), 6): (5, 8)
(1, 0, 1, (1, 1, 0), 8): (1, 1)
(1, 0, 1, (1, 1, 1), 0): (623, 1079)
(1, 0, 1, (1, 1, 1), 1): (332, 515)
(1, 0, 1, (1, 1, 1), 2): (174, 245)
(1, 0, 1, (1, 1, 1), 3): (73, 88)
(1, 0, 1, (1, 1, 1), 4): (21, 28)
(1, 0, 1, (1, 1, 1), 5): (9, 9)
(1, 0, 1, (1, 1, 1), 6): (2, 2)
(1, 0, 1, (1, 1, 1), 7): (2, 2)
(1, 0, 1, (1, 1, 1), 8): (1, 1)
(1, 0, 2, (0, 0, 0), 0): (12659, 30052)
(1, 0, 2, (0, 0, 0), 1): (1540, 2887)
(1, 0, 2, (0, 0, 0), 2): (1004, 1568)
(1, 0, 2, (0, 0, 0), 3): (507, 754)
(1, 0, 2, (0, 0, 0), 4): (279, 363)
(1, 0, 2, (0, 0, 0), 5): (101, 115)
(1, 0, 2, (0, 0, 0), 6): (36, 41)
(1, 0, 2, (0, 0, 0), 7): (3, 3)
(1, 0, 2, (0, 0, 0), 8): (3, 3)
(1, 0, 2, (0, 0, 0), 9): (3, 4)
(1, 0, 2, (0, 0, 0), 10): (2, 2)
(1, 0, 2, (0, 0, 0), 11): (1, 1)
(1, 0, 2, (0, 0, 1), 0): (1380, 2916)
(1, 0, 2, (0, 0, 1), 1): (541, 989)
(1, 0, 2, (0, 0, 1), 2): (262, 414)
(1, 0, 2, (0, 0, 1), 3): (123, 177)
(1, 0, 2, (0, 0, 1), 4): (58, 70)
(1, 0, 2, (0, 0, 1), 5): (18, 29)
(1, 0, 2, (0, 0, 1), 6): (9, 10)
(1, 0, 2, (0, 0, 1), 7): (3, 3)
(1, 0, 2, (0, 0, 1), 8): (0, 1)
(1, 0, 2, (0, 1, 0), 0): (3013, 6774)
(1, 0, 2, (0, 1, 0), 1): (1116, 2097)
(1, 0, 2, (0, 1, 0), 2): (581, 922)
(1, 0, 2, (0, 1, 0), 3): (312, 449)
(1, 0, 2, (0, 1, 0), 4): (147, 180)
(1, 0, 2, (0, 1, 0), 5): (62, 72)
(1, 0, 2, (0, 1, 0), 6): (14, 18)
(1, 0, 2, (0, 1, 0), 7): (10, 10)
(1, 0, 2, (0, 1, 0), 8): (5, 5)
(1, 0, 2, (0, 1, 0), 9): (2, 2)
(1, 0, 2, (0, 1, 1), 0): (464, 1015)
(1, 0, 2, (0, 1, 1), 1): (341, 547)
(1, 0, 2, (0, 1, 1), 2): (206, 286)
(1, 0, 2, (0, 1, 1), 3): (107, 145)
(1, 0, 2, (0, 1, 1), 4): (35, 42)
(1, 0, 2, (0, 1, 1), 5): (18, 19)
(1, 0, 2, (0, 1, 1), 6): (7, 8)
(1, 0, 2, (0, 1, 1), 7): (2, 2)
(1, 0, 2, (1, 0, 0), 0): (5626, 13039)
(1, 0, 2, (1, 0, 0), 1): (1573, 2840)
(1, 0, 2, (1, 0, 0), 2): (805, 1243)
(1, 0, 2, (1, 0, 0), 3): (387, 536)
(1, 0, 2, (1, 0, 0), 4): (193, 235)
(1, 0, 2, (1, 0, 0), 5): (76, 87)
(1, 0, 2, (1, 0, 0), 6): (18, 22)
(1, 0, 2, (1, 0, 0), 7): (9, 10)
(1, 0, 2, (1, 0, 0), 8): (6, 6)
(1, 0, 2, (1, 0, 0), 9): (5, 6)
(1, 0, 2, (1, 0, 0), 10): (1, 1)
(1, 0, 2, (1, 0, 1), 0): (1003, 2111)
(1, 0, 2, (1, 0, 1), 1): (607, 1030)
(1, 0, 2, (1, 0, 1), 2): (314, 479)
(1, 0, 2, (1, 0, 1), 3): (148, 205)
(1, 0, 2, (1, 0, 1), 4): (76, 89)
(1, 0, 2, (1, 0, 1), 5): (26, 32)
(1, 0, 2, (1, 0, 1), 6): (13, 16)
(1, 0, 2, (1, 0, 1), 7): (4, 4)
(1, 0, 2, (1, 0, 1), 8): (4, 4)
(1, 0, 2, (1, 0, 1), 9): (1, 1)
(1, 0, 2, (1, 0, 1), 10): (0, 1)
(1, 0, 2, (1, 1, 0), 0): (2133, 4768)
(1, 0, 2, (1, 1, 0), 1): (981, 1819)
(1, 0, 2, (1, 1, 0), 2): (533, 804)
(1, 0, 2, (1, 1, 0), 3): (256, 354)
(1, 0, 2, (1, 1, 0), 4): (138, 158)
(1, 0, 2, (1, 1, 0), 5): (55, 60)
(1, 0, 2, (1, 1, 0), 6): (26, 27)
(1, 0, 2, (1, 1, 0), 7): (4, 4)
(1, 0, 2, (1, 1, 0), 8): (3, 3)
(1, 0, 2, (1, 1, 0), 9): (1, 2)
(1, 0, 2, (1, 1, 1), 0): (606, 1197)
(1, 0, 2, (1, 1, 1), 1): (357, 623)
(1, 0, 2, (1, 1, 1), 2): (219, 325)
(1, 0, 2, (1, 1, 1), 3): (126, 172)
(1, 0, 2, (1, 1, 1), 4): (40, 49)
(1, 0, 2, (1, 1, 1), 5): (19, 21)
(1, 0, 2, (1, 1, 1), 6): (6, 6)
(1, 0, 2, (1, 1, 1), 7): (3, 3)
(1, 0, 2, (1, 1, 1), 8): (1, 1)
(1, 0, 2, (1, 1, 1), 10): (0, 1)
(1, 1, 0, (0, 0, 0), -11): (0, 1)
(1, 1, 0, (0, 0, 0), -10): (1, 3)
(1, 1, 0, (0, 0, 0), -9): (0, 8)
(1, 1, 0, (0, 0, 0), -8): (1, 13)
(1, 1, 0, (0, 0, 0), -7): (1, 31)
(1, 1, 0, (0, 0, 0), -6): (13, 110)
(1, 1, 0, (0, 0, 0), -5): (52, 333)
(1, 1, 0, (0, 0, 0), -4): (175, 859)
(1, 1, 0, (0, 0, 0), -3): (623, 1979)
(1, 1, 0, (0, 0, 0), -2): (1617, 4322)
(1, 1, 0, (0, 0, 0), -1): (4334, 8920)
(1, 1, 0, (0, 0, 0), 0): (24930, 42281)
(1, 1, 0, (0, 0, 0), 1): (499, 725)
(1, 1, 0, (0, 0, 0), 2): (188, 246)
(1, 1, 0, (0, 0, 0), 3): (128, 155)
(1, 1, 0, (0, 0, 0), 4): (84, 88)
(1, 1, 0, (0, 0, 0), 5): (12, 12)
(1, 1, 0, (0, 0, 0), 6): (7, 7)
(1, 1, 0, (0, 0, 0), 7): (1, 1)
(1, 1, 0, (0, 0, 0), 8): (1, 1)
(1, 1, 0, (0, 0, 1), -8): (0, 1)
(1, 1, 0, (0, 0, 1), -7): (0, 1)
(1, 1, 0, (0, 0, 1), -6): (0, 2)
(1, 1, 0, (0, 0, 1), -4): (4, 13)
(1, 1, 0, (0, 0, 1), -3): (12, 34)
(1, 1, 0, (0, 0, 1), -2): (34, 78)
(1, 1, 0, (0, 0, 1), -1): (111, 191)
(1, 1, 0, (0, 0, 1), 0): (580, 879)
(1, 1, 0, (0, 0, 1), 1): (147, 201)
(1, 1, 0, (0, 0, 1), 2): (65, 72)
(1, 1, 0, (0, 0, 1), 3): (13, 17)
(1, 1, 0, (0, 0, 1), 4): (6, 6)
(1, 1, 0, (0, 0, 1), 5): (2, 2)
(1, 1, 0, (0, 0, 1), 6): (1, 1)
(1, 1, 0, (0, 0, 1), 7): (1, 1)
(1, 1, 0, (0, 0, 1), 8): (1, 1)
(1, 1, 0, (0, 1, 0), -10): (1, 1)
(1, 1, 0, (0, 1, 0), -9): (0, 1)
(1, 1, 0, (0, 1, 0), -8): (1, 6)
(1, 1, 0, (0, 1, 0), -7): (0, 5)
(1, 1, 0, (0, 1, 0), -6): (3, 8)
(1, 1, 0, (0, 1, 0), -5): (6, 44)
(1, 1, 0, (0, 1, 0), -4): (30, 92)
(1, 1, 0, (0, 1, 0), -3): (67, 157)
(1, 1, 0, (0, 1, 0), -2): (176, 398)
(1, 1, 0, (0, 1, 0), -1): (534, 935)
(1, 1, 0, (0, 1, 0), 0): (2756, 4213)
(1, 1, 0, (0, 1, 0), 1): (368, 492)
(1, 1, 0, (0, 1, 0), 2): (149, 189)
(1, 1, 0, (0, 1, 0), 3): (58, 66)
(1, 1, 0, (0, 1, 0), 4): (28, 28)
(1, 1, 0, (0, 1, 0), 5): (7, 7)
(1, 1, 0, (0, 1, 0), 6): (2, 2)
(1, 1, 0, (0, 1, 0), 7): (1, 1)
(1, 1, 0, (0, 1, 1), -8): (0, 1)
(1, 1, 0, (0, 1, 1), -6): (0, 1)
(1, 1, 0, (0, 1, 1), -5): (0, 2)
(1, 1, 0, (0, 1, 1), -4): (6, 13)
(1, 1, 0, (0, 1, 1), -3): (16, 39)
(1, 1, 0, (0, 1, 1), -2): (32, 66)
(1, 1, 0, (0, 1, 1), -1): (80, 125)
(1, 1, 0, (0, 1, 1), 0): (431, 590)
(1, 1, 0, (0, 1, 1), 1): (183, 229)
(1, 1, 0, (0, 1, 1), 2): (53, 63)
(1, 1, 0, (0, 1, 1), 3): (20, 20)
(1, 1, 0, (0, 1, 1), 4): (7, 9)
(1, 1, 0, (0, 1, 1), 5): (2, 2)
(1, 1, 0, (0, 1, 1), 6): (2, 2)
(1, 1, 0, (1, 0, 0), -8): (0, 6)
(1, 1, 0, (1, 0, 0), -7): (0, 9)
(1, 1, 0, (1, 0, 0), -6): (2, 27)
(1, 1, 0, (1, 0, 0), -5): (11, 94)
(1, 1, 0, (1, 0, 0), -4): (63, 249)
(1, 1, 0, (1, 0, 0), -3): (225, 647)
(1, 1, 0, (1, 0, 0), -2): (547, 1283)
(1, 1, 0, (1, 0, 0), -1): (1439, 2643)
(1, 1, 0, (1, 0, 0), 0): (7673, 12194)
(1, 1, 0, (1, 0, 0), 1): (404, 555)
(1, 1, 0, (1, 0, 0), 2): (144, 177)
(1, 1, 0, (1, 0, 0), 3): (80, 89)
(1, 1, 0, (1, 0, 0), 4): (27, 29)
(1, 1, 0, (1, 0, 0), 5): (8, 8)
(1, 1, 0, (1, 0, 0), 6): (4, 4)
(1, 1, 0, (1, 0, 0), 7): (1, 1)
(1, 1, 0, (1, 0, 0), 9): (1, 1)
(1, 1, 0, (1, 0, 1), -7): (0, 2)
(1, 1, 0, (1, 0, 1), -6): (0, 1)
(1, 1, 0, (1, 0, 1), -5): (0, 7)
(1, 1, 0, (1, 0, 1), -4): (5, 23)
(1, 1, 0, (1, 0, 1), -3): (19, 53)
(1, 1, 0, (1, 0, 1), -2): (73, 136)
(1, 1, 0, (1, 0, 1), -1): (191, 315)
(1, 1, 0, (1, 0, 1), 0): (931, 1319)
(1, 1, 0, (1, 0, 1), 1): (258, 334)
(1, 1, 0, (1, 0, 1), 2): (100, 113)
(1, 1, 0, (1, 0, 1), 3): (31, 36)
(1, 1, 0, (1, 0, 1), 4): (8, 9)
(1, 1, 0, (1, 0, 1), 5): (6, 6)
(1, 1, 0, (1, 0, 1), 6): (1, 1)
(1, 1, 0, (1, 1, 0), -8): (0, 2)
(1, 1, 0, (1, 1, 0), -7): (0, 3)
(1, 1, 0, (1, 1, 0), -6): (1, 10)
(1, 1, 0, (1, 1, 0), -5): (4, 25)
(1, 1, 0, (1, 1, 0), -4): (17, 59)
(1, 1, 0, (1, 1, 0), -3): (61, 152)
(1, 1, 0, (1, 1, 0), -2): (142, 279)
(1, 1, 0, (1, 1, 0), -1): (319, 526)
(1, 1, 0, (1, 1, 0), 0): (1705, 2447)
(1, 1, 0, (1, 1, 0), 1): (354, 459)
(1, 1, 0, (1, 1, 0), 2): (123, 160)
(1, 1, 0, (1, 1, 0), 3): (47, 55)
(1, 1, 0, (1, 1, 0), 4): (21, 22)
(1, 1, 0, (1, 1, 0), 5): (10, 11)
(1, 1, 0, (1, 1, 0), 6): (5, 5)
(1, 1, 0, (1, 1, 0), 7): (1, 1)
(1, 1, 0, (1, 1, 1), -8): (0, 1)
(1, 1, 0, (1, 1, 1), -7): (0, 1)
(1, 1, 0, (1, 1, 1), -6): (0, 2)
(1, 1, 0, (1, 1, 1), -5): (0, 1)
(1, 1, 0, (1, 1, 1), -4): (5, 13)
(1, 1, 0, (1, 1, 1), -3): (12, 28)
(1, 1, 0, (1, 1, 1), -2): (38, 66)
(1, 1, 0, (1, 1, 1), -1): (91, 127)
(1, 1, 0, (1, 1, 1), 0): (400, 546)
(1, 1, 0, (1, 1, 1), 1): (129, 162)
(1, 1, 0, (1, 1, 1), 2): (52, 62)
(1, 1, 0, (1, 1, 1), 3): (13, 16)
(1, 1, 0, (1, 1, 1), 4): (7, 7)
(1, 1, 0, (1, 1, 1), 5): (2, 2)
(1, 1, 0, (1, 1, 1), 6): (2, 2)
(1, 1, 1, (0, 0, 0), -11): (0, 1)
(1, 1, 1, (0, 0, 0), -10): (0, 2)
(1, 1, 1, (0, 0, 0), -9): (0, 7)
(1, 1, 1, (0, 0, 0), -8): (1, 3)
(1, 1, 1, (0, 0, 0), -7): (1, 20)
(1, 1, 1, (0, 0, 0), -6): (8, 71)
(1, 1, 1, (0, 0, 0), -5): (36, 219)
(1, 1, 1, (0, 0, 0), -4): (92, 561)
(1, 1, 1, (0, 0, 0), -3): (356, 1256)
(1, 1, 1, (0, 0, 0), -2): (989, 2883)
(1, 1, 1, (0, 0, 0), -1): (2699, 6016)
(1, 1, 1, (0, 0, 0), 0): (16055, 28411)
(1, 1, 1, (0, 0, 0), 1): (878, 1323)
(1, 1, 1, (0, 0, 0), 2): (629, 832)
(1, 1, 1, (0, 0, 0), 3): (375, 450)
(1, 1, 1, (0, 0, 0), 4): (190, 205)
(1, 1, 1, (0, 0, 0), 5): (67, 71)
(1, 1, 1, (0, 0, 0), 6): (25, 27)
(1, 1, 1, (0, 0, 0), 7): (8, 9)
(1, 1, 1, (0, 0, 0), 8): (1, 1)
(1, 1, 1, (0, 0, 0), 9): (2, 2)
(1, 1, 1, (0, 0, 0), 11): (1, 1)
(1, 1, 1, (0, 0, 1), -9): (0, 1)
(1, 1, 1, (0, 0, 1), -8): (0, 1)
(1, 1, 1, (0, 0, 1), -7): (0, 3)
(1, 1, 1, (0, 0, 1), -6): (1, 4)
(1, 1, 1, (0, 0, 1), -5): (2, 15)
(1, 1, 1, (0, 0, 1), -4): (12, 45)
(1, 1, 1, (0, 0, 1), -3): (34, 92)
(1, 1, 1, (0, 0, 1), -2): (95, 216)
(1, 1, 1, (0, 0, 1), -1): (274, 511)
(1, 1, 1, (0, 0, 1), 0): (1509, 2366)
(1, 1, 1, (0, 0, 1), 1): (435, 602)
(1, 1, 1, (0, 0, 1), 2): (184, 229)
(1, 1, 1, (0, 0, 1), 3): (82, 96)
(1, 1, 1, (0, 0, 1), 4): (32, 35)
(1, 1, 1, (0, 0, 1), 5): (10, 10)
(1, 1, 1, (0, 0, 1), 6): (6, 6)
(1, 1, 1, (0, 0, 1), 7): (4, 4)
(1, 1, 1, (0, 1, 0), -10): (1, 1)
(1, 1, 1, (0, 1, 0), -9): (0, 1)
(1, 1, 1, (0, 1, 0), -8): (1, 2)
(1, 1, 1, (0, 1, 0), -7): (1, 6)
(1, 1, 1, (0, 1, 0), -6): (2, 14)
(1, 1, 1, (0, 1, 0), -5): (16, 48)
(1, 1, 1, (0, 1, 0), -4): (27, 115)
(1, 1, 1, (0, 1, 0), -3): (87, 226)
(1, 1, 1, (0, 1, 0), -2): (236, 575)
(1, 1, 1, (0, 1, 0), -1): (619, 1230)
(1, 1, 1, (0, 1, 0), 0): (3475, 5742)
(1, 1, 1, (0, 1, 0), 1): (863, 1249)
(1, 1, 1, (0, 1, 0), 2): (401, 515)
(1, 1, 1, (0, 1, 0), 3): (190, 227)
(1, 1, 1, (0, 1, 0), 4): (80, 87)
(1, 1, 1, (0, 1, 0), 5): (31, 32)
(1, 1, 1, (0, 1, 0), 6): (10, 10)
(1, 1, 1, (0, 1, 0), 7): (4, 4)
(1, 1, 1, (0, 1, 0), 8): (1, 1)
(1, 1, 1, (0, 1, 0), 13): (1, 1)
(1, 1, 1, (0, 1, 1), -8): (0, 1)
(1, 1, 1, (0, 1, 1), -7): (0, 1)
(1, 1, 1, (0, 1, 1), -6): (0, 3)
(1, 1, 1, (0, 1, 1), -5): (4, 7)
(1, 1, 1, (0, 1, 1), -4): (6, 28)
(1, 1, 1, (0, 1, 1), -3): (26, 66)
(1, 1, 1, (0, 1, 1), -2): (65, 132)
(1, 1, 1, (0, 1, 1), -1): (127, 239)
(1, 1, 1, (0, 1, 1), 0): (761, 1107)
(1, 1, 1, (0, 1, 1), 1): (370, 484)
(1, 1, 1, (0, 1, 1), 2): (158, 192)
(1, 1, 1, (0, 1, 1), 3): (81, 96)
(1, 1, 1, (0, 1, 1), 4): (29, 33)
(1, 1, 1, (0, 1, 1), 5): (13, 13)
(1, 1, 1, (0, 1, 1), 6): (2, 2)
(1, 1, 1, (0, 1, 1), 7): (2, 2)
(1, 1, 1, (1, 0, 0), -9): (0, 3)
(1, 1, 1, (1, 0, 0), -8): (1, 4)
(1, 1, 1, (1, 0, 0), -7): (1, 10)
(1, 1, 1, (1, 0, 0), -6): (3, 33)
(1, 1, 1, (1, 0, 0), -5): (14, 95)
(1, 1, 1, (1, 0, 0), -4): (55, 260)
(1, 1, 1, (1, 0, 0), -3): (186, 600)
(1, 1, 1, (1, 0, 0), -2): (474, 1237)
(1, 1, 1, (1, 0, 0), -1): (1214, 2495)
(1, 1, 1, (1, 0, 0), 0): (6702, 11245)
(1, 1, 1, (1, 0, 0), 1): (1087, 1601)
(1, 1, 1, (1, 0, 0), 2): (499, 631)
(1, 1, 1, (1, 0, 0), 3): (214, 263)
(1, 1, 1, (1, 0, 0), 4): (101, 109)
(1, 1, 1, (1, 0, 0), 5): (36, 39)
(1, 1, 1, (1, 0, 0), 6): (21, 22)
(1, 1, 1, (1, 0, 0), 7): (2, 2)
(1, 1, 1, (1, 0, 0), 9): (2, 2)
(1, 1, 1, (1, 0, 0), 11): (1, 1)
(1, 1, 1, (1, 0, 1), -7): (2, 5)
(1, 1, 1, (1, 0, 1), -6): (0, 4)
(1, 1, 1, (1, 0, 1), -5): (7, 16)
(1, 1, 1, (1, 0, 1), -4): (12, 37)
(1, 1, 1, (1, 0, 1), -3): (32, 86)
(1, 1, 1, (1, 0, 1), -2): (88, 193)
(1, 1, 1, (1, 0, 1), -1): (253, 442)
(1, 1, 1, (1, 0, 1), 0): (1280, 1909)
(1, 1, 1, (1, 0, 1), 1): (559, 772)
(1, 1, 1, (1, 0, 1), 2): (261, 307)
(1, 1, 1, (1, 0, 1), 3): (111, 123)
(1, 1, 1, (1, 0, 1), 4): (51, 55)
(1, 1, 1, (1, 0, 1), 5): (14, 16)
(1, 1, 1, (1, 0, 1), 6): (2, 3)
(1, 1, 1, (1, 0, 1), 7): (4, 4)
(1, 1, 1, (1, 0, 1), 8): (1, 1)
(1, 1, 1, (1, 0, 1), 9): (1, 1)
(1, 1, 1, (1, 0, 1), 10): (1, 1)
(1, 1, 1, (1, 0, 1), 13): (1, 1)
(1, 1, 1, (1, 1, 0), -9): (0, 1)
(1, 1, 1, (1, 1, 0), -7): (0, 1)
(1, 1, 1, (1, 1, 0), -6): (0, 17)
(1, 1, 1, (1, 1, 0), -5): (6, 36)
(1, 1, 1, (1, 1, 0), -4): (26, 82)
(1, 1, 1, (1, 1, 0), -3): (71, 202)
(1, 1, 1, (1, 1, 0), -2): (190, 413)
(1, 1, 1, (1, 1, 0), -1): (430, 834)
(1, 1, 1, (1, 1, 0), 0): (2267, 3557)
(1, 1, 1, (1, 1, 0), 1): (741, 1028)
(1, 1, 1, (1, 1, 0), 2): (386, 501)
(1, 1, 1, (1, 1, 0), 3): (182, 207)
(1, 1, 1, (1, 1, 0), 4): (57, 62)
(1, 1, 1, (1, 1, 0), 5): (32, 37)
(1, 1, 1, (1, 1, 0), 6): (7, 7)
(1, 1, 1, (1, 1, 0), 7): (2, 2)
(1, 1, 1, (1, 1, 0), 8): (1, 1)
(1, 1, 1, (1, 1, 0), 9): (1, 1)
(1, 1, 1, (1, 1, 0), 14): (1, 1)
(1, 1, 1, (1, 1, 1), -9): (0, 1)
(1, 1, 1, (1, 1, 1), -7): (0, 1)
(1, 1, 1, (1, 1, 1), -6): (0, 3)
(1, 1, 1, (1, 1, 1), -5): (0, 8)
(1, 1, 1, (1, 1, 1), -4): (9, 27)
(1, 1, 1, (1, 1, 1), -3): (25, 56)
(1, 1, 1, (1, 1, 1), -2): (59, 113)
(1, 1, 1, (1, 1, 1), -1): (153, 248)
(1, 1, 1, (1, 1, 1), 0): (758, 1038)
(1, 1, 1, (1, 1, 1), 1): (378, 498)
(1, 1, 1, (1, 1, 1), 2): (164, 192)
(1, 1, 1, (1, 1, 1), 3): (66, 75)
(1, 1, 1, (1, 1, 1), 4): (23, 24)
(1, 1, 1, (1, 1, 1), 5): (12, 13)
(1, 1, 1, (1, 1, 1), 6): (5, 5)
(1, 1, 1, (1, 1, 1), 7): (1, 1)
(1, 1, 1, (1, 1, 1), 8): (1, 1)
(1, 1, 1, (1, 1, 1), 9): (2, 2)
(1, 1, 1, (1, 1, 1), 10): (1, 1)
(1, 1, 1, (1, 1, 1), 14): (1, 1)
(1, 1, 2, (0, 0, 0), -11): (0, 1)
(1, 1, 2, (0, 0, 0), -10): (0, 2)
(1, 1, 2, (0, 0, 0), -9): (0, 4)
(1, 1, 2, (0, 0, 0), -8): (0, 2)
(1, 1, 2, (0, 0, 0), -7): (0, 14)
(1, 1, 2, (0, 0, 0), -6): (3, 44)
(1, 1, 2, (0, 0, 0), -5): (19, 149)
(1, 1, 2, (0, 0, 0), -4): (58, 397)
(1, 1, 2, (0, 0, 0), -3): (246, 943)
(1, 1, 2, (0, 0, 0), -2): (689, 2120)
(1, 1, 2, (0, 0, 0), -1): (1969, 4536)
(1, 1, 2, (0, 0, 0), 0): (11359, 20781)
(1, 1, 2, (0, 0, 0), 1): (1696, 2576)
(1, 1, 2, (0, 0, 0), 2): (1051, 1413)
(1, 1, 2, (0, 0, 0), 3): (604, 715)
(1, 1, 2, (0, 0, 0), 4): (304, 344)
(1, 1, 2, (0, 0, 0), 5): (123, 128)
(1, 1, 2, (0, 0, 0), 6): (46, 50)
(1, 1, 2, (0, 0, 0), 7): (22, 23)
(1, 1, 2, (0, 0, 0), 8): (6, 6)
(1, 1, 2, (0, 0, 0), 9): (5, 5)
(1, 1, 2, (0, 0, 1), -7): (0, 6)
(1, 1, 2, (0, 0, 1), -6): (1, 5)
(1, 1, 2, (0, 0, 1), -5): (2, 17)
(1, 1, 2, (0, 0, 1), -4): (10, 55)
(1, 1, 2, (0, 0, 1), -3): (33, 95)
(1, 1, 2, (0, 0, 1), -2): (81, 230)
(1, 1, 2, (0, 0, 1), -1): (230, 529)
(1, 1, 2, (0, 0, 1), 0): (1357, 2371)
(1, 1, 2, (0, 0, 1), 1): (571, 858)
(1, 1, 2, (0, 0, 1), 2): (336, 445)
(1, 1, 2, (0, 0, 1), 3): (169, 205)
(1, 1, 2, (0, 0, 1), 4): (69, 76)
(1, 1, 2, (0, 0, 1), 5): (32, 34)
(1, 1, 2, (0, 0, 1), 6): (7, 7)
(1, 1, 2, (0, 0, 1), 7): (6, 6)
(1, 1, 2, (0, 0, 1), 8): (3, 3)
(1, 1, 2, (0, 0, 1), 9): (2, 2)
(1, 1, 2, (0, 1, 0), -8): (1, 3)
(1, 1, 2, (0, 1, 0), -7): (0, 1)
(1, 1, 2, (0, 1, 0), -6): (1, 4)
(1, 1, 2, (0, 1, 0), -5): (15, 42)
(1, 1, 2, (0, 1, 0), -4): (14, 85)
(1, 1, 2, (0, 1, 0), -3): (70, 268)
(1, 1, 2, (0, 1, 0), -2): (189, 521)
(1, 1, 2, (0, 1, 0), -1): (555, 1196)
(1, 1, 2, (0, 1, 0), 0): (3116, 5473)
(1, 1, 2, (0, 1, 0), 1): (1226, 1829)
(1, 1, 2, (0, 1, 0), 2): (730, 951)
(1, 1, 2, (0, 1, 0), 3): (399, 474)
(1, 1, 2, (0, 1, 0), 4): (191, 210)
(1, 1, 2, (0, 1, 0), 5): (72, 79)
(1, 1, 2, (0, 1, 0), 6): (33, 36)
(1, 1, 2, (0, 1, 0), 7): (13, 13)
(1, 1, 2, (0, 1, 0), 8): (6, 6)
(1, 1, 2, (0, 1, 0), 9): (1, 1)
(1, 1, 2, (0, 1, 0), 10): (1, 1)
(1, 1, 2, (0, 1, 1), -6): (0, 2)
(1, 1, 2, (0, 1, 1), -5): (1, 10)
(1, 1, 2, (0, 1, 1), -4): (3, 21)
(1, 1, 2, (0, 1, 1), -3): (13, 52)
(1, 1, 2, (0, 1, 1), -2): (45, 109)
(1, 1, 2, (0, 1, 1), -1): (98, 220)
(1, 1, 2, (0, 1, 1), 0): (534, 894)
(1, 1, 2, (0, 1, 1), 1): (378, 532)
(1, 1, 2, (0, 1, 1), 2): (219, 276)
(1, 1, 2, (0, 1, 1), 3): (130, 148)
(1, 1, 2, (0, 1, 1), 4): (48, 56)
(1, 1, 2, (0, 1, 1), 5): (34, 36)
(1, 1, 2, (0, 1, 1), 6): (4, 4)
(1, 1, 2, (0, 1, 1), 7): (10, 10)
(1, 1, 2, (0, 1, 1), 8): (1, 1)
(1, 1, 2, (0, 1, 1), 10): (1, 1)
(1, 1, 2, (0, 1, 1), 12): (1, 1)
(1, 1, 2, (1, 0, 0), -9): (0, 1)
(1, 1, 2, (1, 0, 0), -8): (0, 1)
(1, 1, 2, (1, 0, 0), -7): (0, 8)
(1, 1, 2, (1, 0, 0), -6): (3, 22)
(1, 1, 2, (1, 0, 0), -5): (9, 81)
(1, 1, 2, (1, 0, 0), -4): (25, 197)
(1, 1, 2, (1, 0, 0), -3): (123, 488)
(1, 1, 2, (1, 0, 0), -2): (336, 1073)
(1, 1, 2, (1, 0, 0), -1): (1020, 2299)
(1, 1, 2, (1, 0, 0), 0): (5484, 9717)
(1, 1, 2, (1, 0, 0), 1): (1676, 2513)
(1, 1, 2, (1, 0, 0), 2): (900, 1173)
(1, 1, 2, (1, 0, 0), 3): (419, 514)
(1, 1, 2, (1, 0, 0), 4): (228, 252)
(1, 1, 2, (1, 0, 0), 5): (88, 92)
(1, 1, 2, (1, 0, 0), 6): (41, 43)
(1, 1, 2, (1, 0, 0), 7): (19, 22)
(1, 1, 2, (1, 0, 0), 8): (4, 4)
(1, 1, 2, (1, 0, 0), 9): (1, 1)
(1, 1, 2, (1, 0, 0), 10): (1, 1)
(1, 1, 2, (1, 0, 0), 11): (1, 1)
(1, 1, 2, (1, 0, 1), -7): (1, 3)
(1, 1, 2, (1, 0, 1), -6): (0, 8)
(1, 1, 2, (1, 0, 1), -5): (4, 18)
(1, 1, 2, (1, 0, 1), -4): (5, 40)
(1, 1, 2, (1, 0, 1), -3): (23, 95)
(1, 1, 2, (1, 0, 1), -2): (70, 204)
(1, 1, 2, (1, 0, 1), -1): (226, 470)
(1, 1, 2, (1, 0, 1), 0): (1106, 1877)
(1, 1, 2, (1, 0, 1), 1): (676, 985)
(1, 1, 2, (1, 0, 1), 2): (389, 505)
(1, 1, 2, (1, 0, 1), 3): (201, 241)
(1, 1, 2, (1, 0, 1), 4): (81, 94)
(1, 1, 2, (1, 0, 1), 5): (32, 36)
(1, 1, 2, (1, 0, 1), 6): (14, 14)
(1, 1, 2, (1, 0, 1), 7): (8, 8)
(1, 1, 2, (1, 0, 1), 8): (4, 4)
(1, 1, 2, (1, 0, 1), 9): (2, 2)
(1, 1, 2, (1, 0, 1), 10): (3, 3)
(1, 1, 2, (1, 1, 0), -9): (0, 1)
(1, 1, 2, (1, 1, 0), -7): (0, 2)
(1, 1, 2, (1, 1, 0), -6): (1, 9)
(1, 1, 2, (1, 1, 0), -5): (5, 38)
(1, 1, 2, (1, 1, 0), -4): (19, 81)
(1, 1, 2, (1, 1, 0), -3): (60, 207)
(1, 1, 2, (1, 1, 0), -2): (174, 471)
(1, 1, 2, (1, 1, 0), -1): (434, 917)
(1, 1, 2, (1, 1, 0), 0): (2308, 3920)
(1, 1, 2, (1, 1, 0), 1): (1079, 1568)
(1, 1, 2, (1, 1, 0), 2): (652, 837)
(1, 1, 2, (1, 1, 0), 3): (292, 348)
(1, 1, 2, (1, 1, 0), 4): (143, 159)
(1, 1, 2, (1, 1, 0), 5): (43, 47)
(1, 1, 2, (1, 1, 0), 6): (19, 20)
(1, 1, 2, (1, 1, 0), 7): (15, 15)
(1, 1, 2, (1, 1, 0), 8): (3, 3)
(1, 1, 2, (1, 1, 0), 9): (3, 3)
(1, 1, 2, (1, 1, 0), 10): (2, 2)
(1, 1, 2, (1, 1, 0), 11): (1, 1)
(1, 1, 2, (1, 1, 1), -9): (0, 1)
(1, 1, 2, (1, 1, 1), -6): (0, 3)
(1, 1, 2, (1, 1, 1), -5): (1, 10)
(1, 1, 2, (1, 1, 1), -4): (5, 21)
(1, 1, 2, (1, 1, 1), -3): (29, 71)
(1, 1, 2, (1, 1, 1), -2): (57, 147)
(1, 1, 2, (1, 1, 1), -1): (136, 267)
(1, 1, 2, (1, 1, 1), 0): (741, 1172)
(1, 1, 2, (1, 1, 1), 1): (430, 610)
(1, 1, 2, (1, 1, 1), 2): (262, 318)
(1, 1, 2, (1, 1, 1), 3): (137, 159)
(1, 1, 2, (1, 1, 1), 4): (40, 44)
(1, 1, 2, (1, 1, 1), 5): (30, 34)
(1, 1, 2, (1, 1, 1), 6): (7, 7)
(1, 1, 2, (1, 1, 1), 7): (2, 2)
(1, 1, 2, (1, 1, 1), 8): (2, 2)
(1, 1, 2, (1, 1, 1), 9): (2, 2)
(1, 1, 2, (1, 1, 1), 10): (2, 2)
(1, 1, 2, (1, 1, 1), 12): (1, 1)
(1, 1, 2, (1, 1, 1), 14): (1, 1)
(2, 0, 0, (0, 0, 0), -14): (0, 1)
(2, 0, 0, (0, 0, 0), -13): (0, 2)
(2, 0, 0, (0, 0, 0), -11): (0, 1)
(2, 0, 0, (0, 0, 0), -10): (0, 5)
(2, 0, 0, (0, 0, 0), -9): (0, 11)
(2, 0, 0, (0, 0, 0), -8): (0, 19)
(2, 0, 0, (0, 0, 0), -7): (3, 62)
(2, 0, 0, (0, 0, 0), -6): (7, 132)
(2, 0, 0, (0, 0, 0), -5): (28, 358)
(2, 0, 0, (0, 0, 0), -4): (97, 893)
(2, 0, 0, (0, 0, 0), -3): (351, 1974)
(2, 0, 0, (0, 0, 0), -2): (1065, 4057)
(2, 0, 0, (0, 0, 0), -1): (2882, 7979)
(2, 0, 0, (0, 0, 0), 0): (14450, 30955)
(2, 0, 0, (0, 0, 0), 1): (4631, 7940)
(2, 0, 0, (0, 0, 0), 2): (2552, 3693)
(2, 0, 0, (0, 0, 0), 3): (1279, 1685)
(2, 0, 0, (0, 0, 0), 4): (604, 713)
(2, 0, 0, (0, 0, 0), 5): (223, 258)
(2, 0, 0, (0, 0, 0), 6): (80, 85)
(2, 0, 0, (0, 0, 0), 7): (28, 29)
(2, 0, 0, (0, 0, 0), 8): (5, 6)
(2, 0, 0, (0, 0, 0), 9): (8, 8)
(2, 0, 0, (0, 0, 0), 10): (3, 3)
(2, 0, 0, (0, 0, 0), 11): (1, 1)
(2, 0, 0, (0, 0, 1), -6): (0, 2)
(2, 0, 0, (0, 0, 1), -5): (0, 3)
(2, 0, 0, (0, 0, 1), -4): (1, 7)
(2, 0, 0, (0, 0, 1), -3): (3, 16)
(2, 0, 0, (0, 0, 1), -2): (13, 35)
(2, 0, 0, (0, 0, 1), -1): (28, 63)
(2, 0, 0, (0, 0, 1), 0): (133, 224)
(2, 0, 0, (0, 0, 1), 1): (87, 132)
(2, 0, 0, (0, 0, 1), 2): (43, 61)
(2, 0, 0, (0, 0, 1), 3): (32, 40)
(2, 0, 0, (0, 0, 1), 4): (21, 23)
(2, 0, 0, (0, 0, 1), 5): (6, 6)
(2, 0, 0, (0, 0, 1), 6): (5, 5)
(2, 0, 0, (0, 0, 1), 7): (3, 3)
(2, 0, 0, (0, 0, 1), 8): (1, 1)
(2, 0, 0, (0, 1, 0), -11): (0, 1)
(2, 0, 0, (0, 1, 0), -7): (0, 4)
(2, 0, 0, (0, 1, 0), -6): (0, 9)
(2, 0, 0, (0, 1, 0), -5): (3, 19)
(2, 0, 0, (0, 1, 0), -4): (10, 67)
(2, 0, 0, (0, 1, 0), -3): (25, 112)
(2, 0, 0, (0, 1, 0), -2): (84, 250)
(2, 0, 0, (0, 1, 0), -1): (212, 503)
(2, 0, 0, (0, 1, 0), 0): (1028, 1965)
(2, 0, 0, (0, 1, 0), 1): (460, 704)
(2, 0, 0, (0, 1, 0), 2): (248, 340)
(2, 0, 0, (0, 1, 0), 3): (109, 150)
(2, 0, 0, (0, 1, 0), 4): (56, 64)
(2, 0, 0, (0, 1, 0), 5): (22, 25)
(2, 0, 0, (0, 1, 0), 6): (14, 14)
(2, 0, 0, (0, 1, 0), 7): (3, 3)
(2, 0, 0, (0, 1, 0), 8): (1, 1)
(2, 0, 0, (0, 1, 0), 9): (1, 1)
(2, 0, 0, (0, 1, 0), 10): (2, 2)
(2, 0, 0, (0, 1, 1), -7): (0, 1)
(2, 0, 0, (0, 1, 1), -5): (0, 2)
(2, 0, 0, (0, 1, 1), -4): (3, 7)
(2, 0, 0, (0, 1, 1), -3): (3, 17)
(2, 0, 0, (0, 1, 1), -2): (19, 50)
(2, 0, 0, (0, 1, 1), -1): (45, 91)
(2, 0, 0, (0, 1, 1), 0): (210, 324)
(2, 0, 0, (0, 1, 1), 1): (127, 189)
(2, 0, 0, (0, 1, 1), 2): (73, 96)
(2, 0, 0, (0, 1, 1), 3): (30, 37)
(2, 0, 0, (0, 1, 1), 4): (19, 24)
(2, 0, 0, (0, 1, 1), 5): (6, 6)
(2, 0, 0, (0, 1, 1), 6): (6, 6)
(2, 0, 0, (0, 1, 1), 7): (3, 3)
(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, 1)
(2, 0, 0, (1, 0, 0), -9): (0, 3)
(2, 0, 0, (1, 0, 0), -8): (0, 7)
(2, 0, 0, (1, 0, 0), -7): (3, 17)
(2, 0, 0, (1, 0, 0), -6): (1, 32)
(2, 0, 0, (1, 0, 0), -5): (9, 88)
(2, 0, 0, (1, 0, 0), -4): (25, 219)
(2, 0, 0, (1, 0, 0), -3): (103, 502)
(2, 0, 0, (1, 0, 0), -2): (302, 1027)
(2, 0, 0, (1, 0, 0), -1): (815, 2017)
(2, 0, 0, (1, 0, 0), 0): (3844, 7789)
(2, 0, 0, (1, 0, 0), 1): (1292, 2095)
(2, 0, 0, (1, 0, 0), 2): (707, 979)
(2, 0, 0, (1, 0, 0), 3): (327, 417)
(2, 0, 0, (1, 0, 0), 4): (174, 197)
(2, 0, 0, (1, 0, 0), 5): (50, 62)
(2, 0, 0, (1, 0, 0), 6): (30, 31)
(2, 0, 0, (1, 0, 0), 7): (8, 8)
(2, 0, 0, (1, 0, 0), 8): (3, 4)
(2, 0, 0, (1, 0, 0), 9): (1, 1)
(2, 0, 0, (1, 0, 1), -6): (2, 2)
(2, 0, 0, (1, 0, 1), -5): (0, 1)
(2, 0, 0, (1, 0, 1), -4): (4, 23)
(2, 0, 0, (1, 0, 1), -3): (8, 32)
(2, 0, 0, (1, 0, 1), -2): (33, 86)
(2, 0, 0, (1, 0, 1), -1): (86, 164)
(2, 0, 0, (1, 0, 1), 0): (329, 549)
(2, 0, 0, (1, 0, 1), 1): (182, 283)
(2, 0, 0, (1, 0, 1), 2): (99, 147)
(2, 0, 0, (1, 0, 1), 3): (52, 73)
(2, 0, 0, (1, 0, 1), 4): (16, 17)
(2, 0, 0, (1, 0, 1), 5): (17, 17)
(2, 0, 0, (1, 0, 1), 6): (10, 11)
(2, 0, 0, (1, 0, 1), 7): (1, 1)
(2, 0, 0, (1, 1, 0), -9): (0, 1)
(2, 0, 0, (1, 1, 0), -8): (0, 3)
(2, 0, 0, (1, 1, 0), -7): (3, 6)
(2, 0, 0, (1, 1, 0), -6): (0, 6)
(2, 0, 0, (1, 1, 0), -5): (3, 18)
(2, 0, 0, (1, 1, 0), -4): (12, 54)
(2, 0, 0, (1, 1, 0), -3): (39, 127)
(2, 0, 0, (1, 1, 0), -2): (92, 244)
(2, 0, 0, (1, 1, 0), -1): (226, 476)
(2, 0, 0, (1, 1, 0), 0): (933, 1669)
(2, 0, 0, (1, 1, 0), 1): (384, 576)
(2, 0, 0, (1, 1, 0), 2): (191, 267)
(2, 0, 0, (1, 1, 0), 3): (83, 100)
(2, 0, 0, (1, 1, 0), 4): (48, 52)
(2, 0, 0, (1, 1, 0), 5): (18, 18)
(2, 0, 0, (1, 1, 0), 6): (7, 7)
(2, 0, 0, (1, 1, 0), 7): (6, 6)
(2, 0, 0, (1, 1, 0), 8): (3, 3)
(2, 0, 0, (1, 1, 0), 10): (1, 1)
(2, 0, 0, (1, 1, 1), -8): (0, 1)
(2, 0, 0, (1, 1, 1), -7): (0, 1)
(2, 0, 0, (1, 1, 1), -6): (0, 1)
(2, 0, 0, (1, 1, 1), -5): (2, 3)
(2, 0, 0, (1, 1, 1), -4): (1, 8)
(2, 0, 0, (1, 1, 1), -3): (9, 22)
(2, 0, 0, (1, 1, 1), -2): (24, 53)
(2, 0, 0, (1, 1, 1), -1): (64, 103)
(2, 0, 0, (1, 1, 1), 0): (213, 314)
(2, 0, 0, (1, 1, 1), 1): (111, 143)
(2, 0, 0, (1, 1, 1), 2): (68, 75)
(2, 0, 0, (1, 1, 1), 3): (31, 32)
(2, 0, 0, (1, 1, 1), 4): (18, 19)
(2, 0, 0, (1, 1, 1), 5): (8, 8)
(2, 0, 0, (1, 1, 1), 6): (4, 4)
(2, 0, 0, (1, 1, 1), 7): (1, 1)
(2, 0, 0, (1, 1, 1), 8): (1, 1)
(2, 0, 1, (0, 0, 0), -13): (0, 1)
(2, 0, 1, (0, 0, 0), -10): (0, 4)
(2, 0, 1, (0, 0, 0), -9): (0, 7)
(2, 0, 1, (0, 0, 0), -8): (0, 12)
(2, 0, 1, (0, 0, 0), -7): (0, 37)
(2, 0, 1, (0, 0, 0), -6): (6, 87)
(2, 0, 1, (0, 0, 0), -5): (16, 250)
(2, 0, 1, (0, 0, 0), -4): (49, 594)
(2, 0, 1, (0, 0, 0), -3): (222, 1338)
(2, 0, 1, (0, 0, 0), -2): (652, 2740)
(2, 0, 1, (0, 0, 0), -1): (1857, 5503)
(2, 0, 1, (0, 0, 0), 0): (9420, 21137)
(2, 0, 1, (0, 0, 0), 1): (3458, 6186)
(2, 0, 1, (0, 0, 0), 2): (1958, 2929)
(2, 0, 1, (0, 0, 0), 3): (1031, 1376)
(2, 0, 1, (0, 0, 0), 4): (482, 578)
(2, 0, 1, (0, 0, 0), 5): (204, 236)
(2, 0, 1, (0, 0, 0), 6): (75, 83)
(2, 0, 1, (0, 0, 0), 7): (38, 41)
(2, 0, 1, (0, 0, 0), 8): (15, 16)
(2, 0, 1, (0, 0, 0), 9): (17, 18)
(2, 0, 1, (0, 0, 0), 10): (3, 3)
(2, 0, 1, (0, 0, 0), 11): (1, 1)
(2, 0, 1, (0, 0, 1), -11): (0, 1)
(2, 0, 1, (0, 0, 1), -7): (0, 1)
(2, 0, 1, (0, 0, 1), -6): (0, 3)
(2, 0, 1, (0, 0, 1), -5): (0, 7)
(2, 0, 1, (0, 0, 1), -4): (1, 21)
(2, 0, 1, (0, 0, 1), -3): (5, 43)
(2, 0, 1, (0, 0, 1), -2): (26, 92)
(2, 0, 1, (0, 0, 1), -1): (84, 217)
(2, 0, 1, (0, 0, 1), 0): (434, 867)
(2, 0, 1, (0, 0, 1), 1): (324, 497)
(2, 0, 1, (0, 0, 1), 2): (183, 261)
(2, 0, 1, (0, 0, 1), 3): (121, 164)
(2, 0, 1, (0, 0, 1), 4): (68, 80)
(2, 0, 1, (0, 0, 1), 5): (36, 39)
(2, 0, 1, (0, 0, 1), 6): (10, 10)
(2, 0, 1, (0, 0, 1), 7): (2, 2)
(2, 0, 1, (0, 0, 1), 9): (2, 2)
(2, 0, 1, (0, 0, 1), 10): (1, 1)
(2, 0, 1, (0, 1, 0), -9): (0, 1)
(2, 0, 1, (0, 1, 0), -7): (0, 6)
(2, 0, 1, (0, 1, 0), -6): (1, 13)
(2, 0, 1, (0, 1, 0), -5): (6, 29)
(2, 0, 1, (0, 1, 0), -4): (7, 76)
(2, 0, 1, (0, 1, 0), -3): (38, 182)
(2, 0, 1, (0, 1, 0), -2): (112, 384)
(2, 0, 1, (0, 1, 0), -1): (265, 740)
(2, 0, 1, (0, 1, 0), 0): (1385, 2921)
(2, 0, 1, (0, 1, 0), 1): (768, 1282)
(2, 0, 1, (0, 1, 0), 2): (497, 710)
(2, 0, 1, (0, 1, 0), 3): (281, 369)
(2, 0, 1, (0, 1, 0), 4): (145, 179)
(2, 0, 1, (0, 1, 0), 5): (63, 68)
(2, 0, 1, (0, 1, 0), 6): (35, 36)
(2, 0, 1, (0, 1, 0), 7): (20, 21)
(2, 0, 1, (0, 1, 0), 8): (6, 6)
(2, 0, 1, (0, 1, 0), 11): (1, 1)
(2, 0, 1, (0, 1, 1), -8): (0, 1)
(2, 0, 1, (0, 1, 1), -6): (0, 1)
(2, 0, 1, (0, 1, 1), -5): (1, 4)
(2, 0, 1, (0, 1, 1), -4): (1, 19)
(2, 0, 1, (0, 1, 1), -3): (16, 45)
(2, 0, 1, (0, 1, 1), -2): (43, 110)
(2, 0, 1, (0, 1, 1), -1): (91, 209)
(2, 0, 1, (0, 1, 1), 0): (411, 720)
(2, 0, 1, (0, 1, 1), 1): (293, 458)
(2, 0, 1, (0, 1, 1), 2): (212, 285)
(2, 0, 1, (0, 1, 1), 3): (100, 129)
(2, 0, 1, (0, 1, 1), 4): (59, 69)
(2, 0, 1, (0, 1, 1), 5): (27, 33)
(2, 0, 1, (0, 1, 1), 6): (16, 17)
(2, 0, 1, (0, 1, 1), 7): (6, 6)
(2, 0, 1, (0, 1, 1), 8): (2, 3)
(2, 0, 1, (1, 0, 0), -13): (0, 1)
(2, 0, 1, (1, 0, 0), -10): (0, 1)
(2, 0, 1, (1, 0, 0), -9): (0, 1)
(2, 0, 1, (1, 0, 0), -8): (0, 5)
(2, 0, 1, (1, 0, 0), -7): (0, 14)
(2, 0, 1, (1, 0, 0), -6): (3, 42)
(2, 0, 1, (1, 0, 0), -5): (9, 106)
(2, 0, 1, (1, 0, 0), -4): (22, 253)
(2, 0, 1, (1, 0, 0), -3): (97, 574)
(2, 0, 1, (1, 0, 0), -2): (308, 1169)
(2, 0, 1, (1, 0, 0), -1): (796, 2216)
(2, 0, 1, (1, 0, 0), 0): (3904, 8425)
(2, 0, 1, (1, 0, 0), 1): (1577, 2615)
(2, 0, 1, (1, 0, 0), 2): (875, 1272)
(2, 0, 1, (1, 0, 0), 3): (447, 587)
(2, 0, 1, (1, 0, 0), 4): (265, 315)
(2, 0, 1, (1, 0, 0), 5): (110, 132)
(2, 0, 1, (1, 0, 0), 6): (53, 56)
(2, 0, 1, (1, 0, 0), 7): (18, 19)
(2, 0, 1, (1, 0, 0), 8): (8, 9)
(2, 0, 1, (1, 0, 0), 9): (8, 9)
(2, 0, 1, (1, 0, 1), -7): (0, 2)
(2, 0, 1, (1, 0, 1), -6): (1, 4)
(2, 0, 1, (1, 0, 1), -5): (1, 12)
(2, 0, 1, (1, 0, 1), -4): (7, 35)
(2, 0, 1, (1, 0, 1), -3): (15, 57)
(2, 0, 1, (1, 0, 1), -2): (45, 132)
(2, 0, 1, (1, 0, 1), -1): (137, 294)
(2, 0, 1, (1, 0, 1), 0): (565, 1053)
(2, 0, 1, (1, 0, 1), 1): (380, 586)
(2, 0, 1, (1, 0, 1), 2): (245, 331)
(2, 0, 1, (1, 0, 1), 3): (158, 188)
(2, 0, 1, (1, 0, 1), 4): (74, 91)
(2, 0, 1, (1, 0, 1), 5): (47, 51)
(2, 0, 1, (1, 0, 1), 6): (22, 22)
(2, 0, 1, (1, 0, 1), 7): (11, 11)
(2, 0, 1, (1, 0, 1), 8): (1, 1)
(2, 0, 1, (1, 0, 1), 9): (3, 3)
(2, 0, 1, (1, 0, 1), 10): (2, 2)
(2, 0, 1, (1, 1, 0), -9): (0, 2)
(2, 0, 1, (1, 1, 0), -8): (0, 2)
(2, 0, 1, (1, 1, 0), -7): (2, 6)
(2, 0, 1, (1, 1, 0), -6): (1, 10)
(2, 0, 1, (1, 1, 0), -5): (6, 28)
(2, 0, 1, (1, 1, 0), -4): (10, 71)
(2, 0, 1, (1, 1, 0), -3): (30, 169)
(2, 0, 1, (1, 1, 0), -2): (107, 360)
(2, 0, 1, (1, 1, 0), -1): (270, 684)
(2, 0, 1, (1, 1, 0), 0): (1243, 2462)
(2, 0, 1, (1, 1, 0), 1): (679, 1047)
(2, 0, 1, (1, 1, 0), 2): (383, 529)
(2, 0, 1, (1, 1, 0), 3): (217, 282)
(2, 0, 1, (1, 1, 0), 4): (124, 151)
(2, 0, 1, (1, 1, 0), 5): (72, 79)
(2, 0, 1, (1, 1, 0), 6): (33, 36)
(2, 0, 1, (1, 1, 0), 7): (15, 17)
(2, 0, 1, (1, 1, 0), 8): (7, 7)
(2, 0, 1, (1, 1, 0), 9): (2, 2)
(2, 0, 1, (1, 1, 0), 11): (1, 1)
(2, 0, 1, (1, 1, 1), -9): (0, 1)
(2, 0, 1, (1, 1, 1), -8): (0, 3)
(2, 0, 1, (1, 1, 1), -7): (1, 4)
(2, 0, 1, (1, 1, 1), -6): (0, 4)
(2, 0, 1, (1, 1, 1), -5): (3, 7)
(2, 0, 1, (1, 1, 1), -4): (1, 17)
(2, 0, 1, (1, 1, 1), -3): (11, 41)
(2, 0, 1, (1, 1, 1), -2): (32, 80)
(2, 0, 1, (1, 1, 1), -1): (73, 147)
(2, 0, 1, (1, 1, 1), 0): (344, 603)
(2, 0, 1, (1, 1, 1), 1): (235, 345)
(2, 0, 1, (1, 1, 1), 2): (153, 199)
(2, 0, 1, (1, 1, 1), 3): (99, 120)
(2, 0, 1, (1, 1, 1), 4): (56, 67)
(2, 0, 1, (1, 1, 1), 5): (32, 39)
(2, 0, 1, (1, 1, 1), 6): (16, 20)
(2, 0, 1, (1, 1, 1), 7): (6, 6)
(2, 0, 1, (1, 1, 1), 8): (4, 5)
(2, 0, 1, (1, 1, 1), 11): (1, 1)
(2, 0, 2, (0, 0, 0), -13): (0, 1)
(2, 0, 2, (0, 0, 0), -10): (0, 5)
(2, 0, 2, (0, 0, 0), -9): (0, 7)
(2, 0, 2, (0, 0, 0), -8): (0, 11)
(2, 0, 2, (0, 0, 0), -7): (0, 30)
(2, 0, 2, (0, 0, 0), -6): (2, 62)
(2, 0, 2, (0, 0, 0), -5): (12, 193)
(2, 0, 2, (0, 0, 0), -4): (35, 451)
(2, 0, 2, (0, 0, 0), -3): (156, 992)
(2, 0, 2, (0, 0, 0), -2): (449, 2053)
(2, 0, 2, (0, 0, 0), -1): (1374, 4249)
(2, 0, 2, (0, 0, 0), 0): (6871, 16014)
(2, 0, 2, (0, 0, 0), 1): (2945, 5396)
(2, 0, 2, (0, 0, 0), 2): (1763, 2638)
(2, 0, 2, (0, 0, 0), 3): (966, 1289)
(2, 0, 2, (0, 0, 0), 4): (463, 562)
(2, 0, 2, (0, 0, 0), 5): (226, 271)
(2, 0, 2, (0, 0, 0), 6): (129, 143)
(2, 0, 2, (0, 0, 0), 7): (69, 73)
(2, 0, 2, (0, 0, 0), 8): (26, 28)
(2, 0, 2, (0, 0, 0), 9): (16, 16)
(2, 0, 2, (0, 0, 0), 10): (7, 7)
(2, 0, 2, (0, 0, 0), 11): (3, 3)
(2, 0, 2, (0, 0, 1), -9): (0, 1)
(2, 0, 2, (0, 0, 1), -8): (0, 2)
(2, 0, 2, (0, 0, 1), -7): (0, 3)
(2, 0, 2, (0, 0, 1), -6): (0, 2)
(2, 0, 2, (0, 0, 1), -5): (1, 14)
(2, 0, 2, (0, 0, 1), -4): (4, 40)
(2, 0, 2, (0, 0, 1), -3): (12, 69)
(2, 0, 2, (0, 0, 1), -2): (46, 180)
(2, 0, 2, (0, 0, 1), -1): (125, 346)
(2, 0, 2, (0, 0, 1), 0): (560, 1273)
(2, 0, 2, (0, 0, 1), 1): (438, 776)
(2, 0, 2, (0, 0, 1), 2): (340, 494)
(2, 0, 2, (0, 0, 1), 3): (191, 274)
(2, 0, 2, (0, 0, 1), 4): (104, 128)
(2, 0, 2, (0, 0, 1), 5): (64, 73)
(2, 0, 2, (0, 0, 1), 6): (33, 33)
(2, 0, 2, (0, 0, 1), 7): (16, 16)
(2, 0, 2, (0, 0, 1), 8): (6, 6)
(2, 0, 2, (0, 0, 1), 9): (4, 4)
(2, 0, 2, (0, 0, 1), 10): (2, 2)
(2, 0, 2, (0, 1, 0), -10): (0, 2)
(2, 0, 2, (0, 1, 0), -7): (0, 5)
(2, 0, 2, (0, 1, 0), -6): (0, 12)
(2, 0, 2, (0, 1, 0), -5): (3, 32)
(2, 0, 2, (0, 1, 0), -4): (8, 109)
(2, 0, 2, (0, 1, 0), -3): (36, 215)
(2, 0, 2, (0, 1, 0), -2): (119, 452)
(2, 0, 2, (0, 1, 0), -1): (302, 911)
(2, 0, 2, (0, 1, 0), 0): (1573, 3510)
(2, 0, 2, (0, 1, 0), 1): (1135, 1934)
(2, 0, 2, (0, 1, 0), 2): (765, 1136)
(2, 0, 2, (0, 1, 0), 3): (489, 643)
(2, 0, 2, (0, 1, 0), 4): (295, 354)
(2, 0, 2, (0, 1, 0), 5): (128, 146)
(2, 0, 2, (0, 1, 0), 6): (76, 82)
(2, 0, 2, (0, 1, 0), 7): (39, 40)
(2, 0, 2, (0, 1, 0), 8): (11, 11)
(2, 0, 2, (0, 1, 0), 9): (5, 5)
(2, 0, 2, (0, 1, 0), 10): (3, 3)
(2, 0, 2, (0, 1, 0), 11): (2, 2)
(2, 0, 2, (0, 1, 0), 12): (1, 1)
(2, 0, 2, (0, 1, 1), -10): (0, 1)
(2, 0, 2, (0, 1, 1), -8): (0, 1)
(2, 0, 2, (0, 1, 1), -7): (0, 1)
(2, 0, 2, (0, 1, 1), -6): (0, 4)
(2, 0, 2, (0, 1, 1), -5): (2, 10)
(2, 0, 2, (0, 1, 1), -4): (3, 23)
(2, 0, 2, (0, 1, 1), -3): (13, 42)
(2, 0, 2, (0, 1, 1), -2): (40, 121)
(2, 0, 2, (0, 1, 1), -1): (100, 244)
(2, 0, 2, (0, 1, 1), 0): (377, 775)
(2, 0, 2, (0, 1, 1), 1): (337, 589)
(2, 0, 2, (0, 1, 1), 2): (275, 367)
(2, 0, 2, (0, 1, 1), 3): (141, 183)
(2, 0, 2, (0, 1, 1), 4): (71, 87)
(2, 0, 2, (0, 1, 1), 5): (27, 36)
(2, 0, 2, (0, 1, 1), 6): (19, 20)
(2, 0, 2, (0, 1, 1), 7): (8, 8)
(2, 0, 2, (0, 1, 1), 8): (5, 5)
(2, 0, 2, (0, 1, 1), 9): (1, 1)
(2, 0, 2, (0, 1, 1), 10): (2, 2)
(2, 0, 2, (1, 0, 0), -13): (0, 2)
(2, 0, 2, (1, 0, 0), -10): (0, 4)
(2, 0, 2, (1, 0, 0), -9): (0, 1)
(2, 0, 2, (1, 0, 0), -8): (0, 4)
(2, 0, 2, (1, 0, 0), -7): (0, 13)
(2, 0, 2, (1, 0, 0), -6): (2, 38)
(2, 0, 2, (1, 0, 0), -5): (8, 99)
(2, 0, 2, (1, 0, 0), -4): (19, 212)
(2, 0, 2, (1, 0, 0), -3): (93, 561)
(2, 0, 2, (1, 0, 0), -2): (270, 1067)
(2, 0, 2, (1, 0, 0), -1): (697, 2092)
(2, 0, 2, (1, 0, 0), 0): (3353, 7502)
(2, 0, 2, (1, 0, 0), 1): (1689, 2949)
(2, 0, 2, (1, 0, 0), 2): (995, 1526)
(2, 0, 2, (1, 0, 0), 3): (629, 837)
(2, 0, 2, (1, 0, 0), 4): (379, 460)
(2, 0, 2, (1, 0, 0), 5): (183, 214)
(2, 0, 2, (1, 0, 0), 6): (101, 108)
(2, 0, 2, (1, 0, 0), 7): (48, 51)
(2, 0, 2, (1, 0, 0), 8): (20, 20)
(2, 0, 2, (1, 0, 0), 9): (9, 10)
(2, 0, 2, (1, 0, 0), 10): (5, 5)
(2, 0, 2, (1, 0, 0), 11): (2, 2)
(2, 0, 2, (1, 0, 0), 12): (1, 1)
(2, 0, 2, (1, 0, 1), -9): (0, 1)
(2, 0, 2, (1, 0, 1), -7): (0, 1)
(2, 0, 2, (1, 0, 1), -6): (1, 4)
(2, 0, 2, (1, 0, 1), -5): (1, 19)
(2, 0, 2, (1, 0, 1), -4): (3, 28)
(2, 0, 2, (1, 0, 1), -3): (11, 70)
(2, 0, 2, (1, 0, 1), -2): (46, 173)
(2, 0, 2, (1, 0, 1), -1): (144, 355)
(2, 0, 2, (1, 0, 1), 0): (551, 1131)
(2, 0, 2, (1, 0, 1), 1): (486, 774)
(2, 0, 2, (1, 0, 1), 2): (337, 467)
(2, 0, 2, (1, 0, 1), 3): (211, 273)
(2, 0, 2, (1, 0, 1), 4): (110, 142)
(2, 0, 2, (1, 0, 1), 5): (62, 79)
(2, 0, 2, (1, 0, 1), 6): (26, 27)
(2, 0, 2, (1, 0, 1), 7): (23, 24)
(2, 0, 2, (1, 0, 1), 8): (6, 6)
(2, 0, 2, (1, 0, 1), 9): (9, 9)
(2, 0, 2, (1, 0, 1), 10): (2, 2)
(2, 0, 2, (1, 1, 0), -13): (0, 1)
(2, 0, 2, (1, 1, 0), -10): (0, 1)
(2, 0, 2, (1, 1, 0), -8): (0, 2)
(2, 0, 2, (1, 1, 0), -7): (0, 6)
(2, 0, 2, (1, 1, 0), -6): (1, 11)
(2, 0, 2, (1, 1, 0), -5): (6, 42)
(2, 0, 2, (1, 1, 0), -4): (10, 89)
(2, 0, 2, (1, 1, 0), -3): (31, 201)
(2, 0, 2, (1, 1, 0), -2): (112, 411)
(2, 0, 2, (1, 1, 0), -1): (265, 751)
(2, 0, 2, (1, 1, 0), 0): (1317, 2766)
(2, 0, 2, (1, 1, 0), 1): (813, 1363)
(2, 0, 2, (1, 1, 0), 2): (505, 732)
(2, 0, 2, (1, 1, 0), 3): (344, 452)
(2, 0, 2, (1, 1, 0), 4): (227, 273)
(2, 0, 2, (1, 1, 0), 5): (105, 117)
(2, 0, 2, (1, 1, 0), 6): (73, 76)
(2, 0, 2, (1, 1, 0), 7): (29, 32)
(2, 0, 2, (1, 1, 0), 8): (17, 17)
(2, 0, 2, (1, 1, 0), 9): (4, 4)
(2, 0, 2, (1, 1, 0), 10): (3, 3)
(2, 0, 2, (1, 1, 0), 11): (2, 2)
(2, 0, 2, (1, 1, 1), -8): (0, 1)
(2, 0, 2, (1, 1, 1), -7): (0, 1)
(2, 0, 2, (1, 1, 1), -6): (1, 3)
(2, 0, 2, (1, 1, 1), -5): (3, 13)
(2, 0, 2, (1, 1, 1), -4): (2, 22)
(2, 0, 2, (1, 1, 1), -3): (10, 50)
(2, 0, 2, (1, 1, 1), -2): (44, 113)
(2, 0, 2, (1, 1, 1), -1): (86, 222)
(2, 0, 2, (1, 1, 1), 0): (396, 774)
(2, 0, 2, (1, 1, 1), 1): (281, 427)
(2, 0, 2, (1, 1, 1), 2): (201, 260)
(2, 0, 2, (1, 1, 1), 3): (110, 146)
(2, 0, 2, (1, 1, 1), 4): (79, 90)
(2, 0, 2, (1, 1, 1), 5): (41, 47)
(2, 0, 2, (1, 1, 1), 6): (30, 31)
(2, 0, 2, (1, 1, 1), 7): (10, 11)
(2, 0, 2, (1, 1, 1), 8): (4, 5)
(2, 0, 2, (1, 1, 1), 9): (2, 2)
(2, 1, 0, (0, 0, 0), -12): (0, 2)
(2, 1, 0, (0, 0, 0), -11): (0, 5)
(2, 1, 0, (0, 0, 0), -10): (0, 16)
(2, 1, 0, (0, 0, 0), -9): (1, 37)
(2, 1, 0, (0, 0, 0), -8): (4, 70)
(2, 1, 0, (0, 0, 0), -7): (9, 164)
(2, 1, 0, (0, 0, 0), -6): (28, 379)
(2, 1, 0, (0, 0, 0), -5): (114, 636)
(2, 1, 0, (0, 0, 0), -4): (269, 1383)
(2, 1, 0, (0, 0, 0), -3): (734, 2792)
(2, 1, 0, (0, 0, 0), -2): (1844, 5455)
(2, 1, 0, (0, 0, 0), -1): (4842, 10678)
(2, 1, 0, (0, 0, 0), 0): (14508, 24976)
(2, 1, 0, (0, 0, 0), 1): (5224, 7575)
(2, 1, 0, (0, 0, 0), 2): (2885, 3697)
(2, 1, 0, (0, 0, 0), 3): (1519, 1792)
(2, 1, 0, (0, 0, 0), 4): (726, 780)
(2, 1, 0, (0, 0, 0), 5): (311, 333)
(2, 1, 0, (0, 0, 0), 6): (114, 118)
(2, 1, 0, (0, 0, 0), 7): (60, 63)
(2, 1, 0, (0, 0, 0), 8): (28, 28)
(2, 1, 0, (0, 0, 0), 9): (13, 13)
(2, 1, 0, (0, 0, 0), 10): (5, 5)
(2, 1, 0, (0, 0, 0), 11): (1, 1)
(2, 1, 0, (0, 0, 0), 13): (2, 2)
(2, 1, 0, (0, 0, 1), -8): (0, 1)
(2, 1, 0, (0, 0, 1), -7): (0, 1)
(2, 1, 0, (0, 0, 1), -6): (0, 3)
(2, 1, 0, (0, 0, 1), -5): (2, 5)
(2, 1, 0, (0, 0, 1), -4): (3, 12)
(2, 1, 0, (0, 0, 1), -3): (11, 25)
(2, 1, 0, (0, 0, 1), -2): (20, 60)
(2, 1, 0, (0, 0, 1), -1): (47, 103)
(2, 1, 0, (0, 0, 1), 0): (161, 246)
(2, 1, 0, (0, 0, 1), 1): (111, 140)
(2, 1, 0, (0, 0, 1), 2): (75, 86)
(2, 1, 0, (0, 0, 1), 3): (36, 39)
(2, 1, 0, (0, 0, 1), 4): (22, 22)
(2, 1, 0, (0, 0, 1), 5): (9, 9)
(2, 1, 0, (0, 0, 1), 6): (7, 7)
(2, 1, 0, (0, 0, 1), 7): (1, 1)
(2, 1, 0, (0, 0, 1), 8): (4, 4)
(2, 1, 0, (0, 0, 1), 11): (1, 1)
(2, 1, 0, (0, 0, 1), 12): (1, 1)
(2, 1, 0, (0, 1, 0), -10): (0, 1)
(2, 1, 0, (0, 1, 0), -9): (1, 3)
(2, 1, 0, (0, 1, 0), -8): (0, 6)
(2, 1, 0, (0, 1, 0), -7): (2, 9)
(2, 1, 0, (0, 1, 0), -6): (3, 22)
(2, 1, 0, (0, 1, 0), -5): (5, 39)
(2, 1, 0, (0, 1, 0), -4): (27, 96)
(2, 1, 0, (0, 1, 0), -3): (62, 175)
(2, 1, 0, (0, 1, 0), -2): (152, 361)
(2, 1, 0, (0, 1, 0), -1): (385, 737)
(2, 1, 0, (0, 1, 0), 0): (1172, 1827)
(2, 1, 0, (0, 1, 0), 1): (509, 674)
(2, 1, 0, (0, 1, 0), 2): (304, 373)
(2, 1, 0, (0, 1, 0), 3): (156, 179)
(2, 1, 0, (0, 1, 0), 4): (75, 79)
(2, 1, 0, (0, 1, 0), 5): (38, 38)
(2, 1, 0, (0, 1, 0), 6): (17, 18)
(2, 1, 0, (0, 1, 0), 7): (6, 6)
(2, 1, 0, (0, 1, 0), 8): (4, 4)
(2, 1, 0, (0, 1, 0), 9): (1, 1)
(2, 1, 0, (0, 1, 0), 10): (3, 3)
(2, 1, 0, (0, 1, 0), 11): (1, 1)
(2, 1, 0, (0, 1, 0), 13): (1, 1)
(2, 1, 0, (0, 1, 1), -11): (0, 1)
(2, 1, 0, (0, 1, 1), -8): (0, 2)
(2, 1, 0, (0, 1, 1), -7): (1, 4)
(2, 1, 0, (0, 1, 1), -6): (1, 4)
(2, 1, 0, (0, 1, 1), -5): (0, 7)
(2, 1, 0, (0, 1, 1), -4): (8, 21)
(2, 1, 0, (0, 1, 1), -3): (12, 34)
(2, 1, 0, (0, 1, 1), -2): (41, 81)
(2, 1, 0, (0, 1, 1), -1): (99, 143)
(2, 1, 0, (0, 1, 1), 0): (222, 311)
(2, 1, 0, (0, 1, 1), 1): (115, 159)
(2, 1, 0, (0, 1, 1), 2): (70, 84)
(2, 1, 0, (0, 1, 1), 3): (40, 40)
(2, 1, 0, (0, 1, 1), 4): (14, 15)
(2, 1, 0, (0, 1, 1), 5): (7, 8)
(2, 1, 0, (0, 1, 1), 6): (5, 6)
(2, 1, 0, (0, 1, 1), 7): (5, 5)
(2, 1, 0, (0, 1, 1), 8): (1, 1)
(2, 1, 0, (0, 1, 1), 9): (3, 3)
(2, 1, 0, (0, 1, 1), 10): (1, 1)
(2, 1, 0, (1, 0, 0), -12): (0, 1)
(2, 1, 0, (1, 0, 0), -11): (0, 2)
(2, 1, 0, (1, 0, 0), -10): (0, 6)
(2, 1, 0, (1, 0, 0), -9): (0, 9)
(2, 1, 0, (1, 0, 0), -8): (1, 13)
(2, 1, 0, (1, 0, 0), -7): (2, 44)
(2, 1, 0, (1, 0, 0), -6): (9, 109)
(2, 1, 0, (1, 0, 0), -5): (37, 161)
(2, 1, 0, (1, 0, 0), -4): (90, 350)
(2, 1, 0, (1, 0, 0), -3): (212, 698)
(2, 1, 0, (1, 0, 0), -2): (542, 1466)
(2, 1, 0, (1, 0, 0), -1): (1274, 2711)
(2, 1, 0, (1, 0, 0), 0): (4001, 6466)
(2, 1, 0, (1, 0, 0), 1): (1379, 1990)
(2, 1, 0, (1, 0, 0), 2): (801, 997)
(2, 1, 0, (1, 0, 0), 3): (394, 459)
(2, 1, 0, (1, 0, 0), 4): (191, 201)
(2, 1, 0, (1, 0, 0), 5): (85, 94)
(2, 1, 0, (1, 0, 0), 6): (34, 35)
(2, 1, 0, (1, 0, 0), 7): (21, 21)
(2, 1, 0, (1, 0, 0), 8): (9, 9)
(2, 1, 0, (1, 0, 0), 9): (6, 6)
(2, 1, 0, (1, 0, 0), 10): (1, 1)
(2, 1, 0, (1, 0, 0), 11): (2, 2)
(2, 1, 0, (1, 0, 0), 13): (1, 1)
(2, 1, 0, (1, 0, 1), -10): (0, 1)
(2, 1, 0, (1, 0, 1), -8): (0, 1)
(2, 1, 0, (1, 0, 1), -7): (1, 1)
(2, 1, 0, (1, 0, 1), -6): (1, 9)
(2, 1, 0, (1, 0, 1), -5): (2, 14)
(2, 1, 0, (1, 0, 1), -4): (6, 25)
(2, 1, 0, (1, 0, 1), -3): (23, 55)
(2, 1, 0, (1, 0, 1), -2): (51, 118)
(2, 1, 0, (1, 0, 1), -1): (127, 221)
(2, 1, 0, (1, 0, 1), 0): (370, 541)
(2, 1, 0, (1, 0, 1), 1): (205, 262)
(2, 1, 0, (1, 0, 1), 2): (106, 121)
(2, 1, 0, (1, 0, 1), 3): (56, 60)
(2, 1, 0, (1, 0, 1), 4): (30, 30)
(2, 1, 0, (1, 0, 1), 5): (20, 22)
(2, 1, 0, (1, 0, 1), 6): (10, 11)
(2, 1, 0, (1, 0, 1), 7): (5, 5)
(2, 1, 0, (1, 0, 1), 8): (4, 4)
(2, 1, 0, (1, 0, 1), 11): (1, 1)
(2, 1, 0, (1, 1, 0), -10): (0, 1)
(2, 1, 0, (1, 1, 0), -8): (0, 5)
(2, 1, 0, (1, 1, 0), -7): (1, 13)
(2, 1, 0, (1, 1, 0), -6): (3, 24)
(2, 1, 0, (1, 1, 0), -5): (14, 46)
(2, 1, 0, (1, 1, 0), -4): (25, 84)
(2, 1, 0, (1, 1, 0), -3): (60, 173)
(2, 1, 0, (1, 1, 0), -2): (143, 360)
(2, 1, 0, (1, 1, 0), -1): (337, 611)
(2, 1, 0, (1, 1, 0), 0): (921, 1394)
(2, 1, 0, (1, 1, 0), 1): (372, 505)
(2, 1, 0, (1, 1, 0), 2): (219, 262)
(2, 1, 0, (1, 1, 0), 3): (102, 114)
(2, 1, 0, (1, 1, 0), 4): (56, 57)
(2, 1, 0, (1, 1, 0), 5): (17, 18)
(2, 1, 0, (1, 1, 0), 6): (13, 13)
(2, 1, 0, (1, 1, 0), 7): (12, 12)
(2, 1, 0, (1, 1, 0), 8): (3, 3)
(2, 1, 0, (1, 1, 0), 9): (3, 3)
(2, 1, 0, (1, 1, 0), 10): (2, 2)
(2, 1, 0, (1, 1, 0), 11): (1, 1)
(2, 1, 0, (1, 1, 1), -7): (2, 7)
(2, 1, 0, (1, 1, 1), -6): (3, 7)
(2, 1, 0, (1, 1, 1), -5): (6, 9)
(2, 1, 0, (1, 1, 1), -4): (6, 17)
(2, 1, 0, (1, 1, 1), -3): (15, 37)
(2, 1, 0, (1, 1, 1), -2): (40, 72)
(2, 1, 0, (1, 1, 1), -1): (88, 137)
(2, 1, 0, (1, 1, 1), 0): (230, 308)
(2, 1, 0, (1, 1, 1), 1): (113, 141)
(2, 1, 0, (1, 1, 1), 2): (65, 79)
(2, 1, 0, (1, 1, 1), 3): (40, 43)
(2, 1, 0, (1, 1, 1), 4): (19, 19)
(2, 1, 0, (1, 1, 1), 5): (11, 12)
(2, 1, 0, (1, 1, 1), 6): (2, 2)
(2, 1, 0, (1, 1, 1), 7): (1, 1)
(2, 1, 0, (1, 1, 1), 8): (2, 2)
(2, 1, 1, (0, 0, 0), -12): (0, 1)
(2, 1, 1, (0, 0, 0), -11): (0, 3)
(2, 1, 1, (0, 0, 0), -10): (0, 8)
(2, 1, 1, (0, 0, 0), -9): (0, 24)
(2, 1, 1, (0, 0, 0), -8): (3, 51)
(2, 1, 1, (0, 0, 0), -7): (3, 98)
(2, 1, 1, (0, 0, 0), -6): (15, 244)
(2, 1, 1, (0, 0, 0), -5): (62, 433)
(2, 1, 1, (0, 0, 0), -4): (147, 928)
(2, 1, 1, (0, 0, 0), -3): (457, 1896)
(2, 1, 1, (0, 0, 0), -2): (1103, 3592)
(2, 1, 1, (0, 0, 0), -1): (3129, 7261)
(2, 1, 1, (0, 0, 0), 0): (9378, 16876)
(2, 1, 1, (0, 0, 0), 1): (3925, 5802)
(2, 1, 1, (0, 0, 0), 2): (2187, 2847)
(2, 1, 1, (0, 0, 0), 3): (1202, 1439)
(2, 1, 1, (0, 0, 0), 4): (584, 638)
(2, 1, 1, (0, 0, 0), 5): (259, 277)
(2, 1, 1, (0, 0, 0), 6): (117, 120)
(2, 1, 1, (0, 0, 0), 7): (56, 60)
(2, 1, 1, (0, 0, 0), 8): (29, 29)
(2, 1, 1, (0, 0, 0), 9): (11, 11)
(2, 1, 1, (0, 0, 0), 10): (10, 10)
(2, 1, 1, (0, 0, 0), 11): (2, 2)
(2, 1, 1, (0, 0, 1), -9): (0, 1)
(2, 1, 1, (0, 0, 1), -7): (0, 4)
(2, 1, 1, (0, 0, 1), -6): (1, 10)
(2, 1, 1, (0, 0, 1), -5): (3, 18)
(2, 1, 1, (0, 0, 1), -4): (14, 45)
(2, 1, 1, (0, 0, 1), -3): (26, 81)
(2, 1, 1, (0, 0, 1), -2): (69, 185)
(2, 1, 1, (0, 0, 1), -1): (177, 367)
(2, 1, 1, (0, 0, 1), 0): (545, 862)
(2, 1, 1, (0, 0, 1), 1): (382, 510)
(2, 1, 1, (0, 0, 1), 2): (255, 304)
(2, 1, 1, (0, 0, 1), 3): (148, 170)
(2, 1, 1, (0, 0, 1), 4): (77, 83)
(2, 1, 1, (0, 0, 1), 5): (48, 49)
(2, 1, 1, (0, 0, 1), 6): (12, 12)
(2, 1, 1, (0, 0, 1), 7): (14, 15)
(2, 1, 1, (0, 0, 1), 8): (2, 2)
(2, 1, 1, (0, 0, 1), 9): (1, 1)
(2, 1, 1, (0, 0, 1), 10): (1, 1)
(2, 1, 1, (0, 0, 1), 11): (1, 1)
(2, 1, 1, (0, 0, 1), 12): (1, 1)
(2, 1, 1, (0, 1, 0), -10): (0, 1)
(2, 1, 1, (0, 1, 0), -9): (1, 2)
(2, 1, 1, (0, 1, 0), -8): (1, 11)
(2, 1, 1, (0, 1, 0), -7): (1, 12)
(2, 1, 1, (0, 1, 0), -6): (3, 34)
(2, 1, 1, (0, 1, 0), -5): (8, 51)
(2, 1, 1, (0, 1, 0), -4): (35, 125)
(2, 1, 1, (0, 1, 0), -3): (86, 254)
(2, 1, 1, (0, 1, 0), -2): (196, 540)
(2, 1, 1, (0, 1, 0), -1): (517, 1090)
(2, 1, 1, (0, 1, 0), 0): (1614, 2666)
(2, 1, 1, (0, 1, 0), 1): (929, 1307)
(2, 1, 1, (0, 1, 0), 2): (619, 760)
(2, 1, 1, (0, 1, 0), 3): (377, 426)
(2, 1, 1, (0, 1, 0), 4): (195, 212)
(2, 1, 1, (0, 1, 0), 5): (80, 87)
(2, 1, 1, (0, 1, 0), 6): (47, 47)
(2, 1, 1, (0, 1, 0), 7): (14, 14)
(2, 1, 1, (0, 1, 0), 8): (8, 8)
(2, 1, 1, (0, 1, 0), 9): (2, 2)
(2, 1, 1, (0, 1, 0), 10): (2, 2)
(2, 1, 1, (0, 1, 0), 13): (1, 1)
(2, 1, 1, (0, 1, 1), -11): (0, 1)
(2, 1, 1, (0, 1, 1), -9): (0, 1)
(2, 1, 1, (0, 1, 1), -8): (0, 1)
(2, 1, 1, (0, 1, 1), -7): (0, 3)
(2, 1, 1, (0, 1, 1), -6): (3, 8)
(2, 1, 1, (0, 1, 1), -5): (1, 10)
(2, 1, 1, (0, 1, 1), -4): (12, 29)
(2, 1, 1, (0, 1, 1), -3): (27, 70)
(2, 1, 1, (0, 1, 1), -2): (56, 160)
(2, 1, 1, (0, 1, 1), -1): (178, 308)
(2, 1, 1, (0, 1, 1), 0): (465, 689)
(2, 1, 1, (0, 1, 1), 1): (325, 448)
(2, 1, 1, (0, 1, 1), 2): (270, 314)
(2, 1, 1, (0, 1, 1), 3): (131, 147)
(2, 1, 1, (0, 1, 1), 4): (65, 67)
(2, 1, 1, (0, 1, 1), 5): (28, 29)
(2, 1, 1, (0, 1, 1), 6): (16, 17)
(2, 1, 1, (0, 1, 1), 7): (9, 9)
(2, 1, 1, (0, 1, 1), 8): (2, 2)
(2, 1, 1, (0, 1, 1), 9): (1, 1)
(2, 1, 1, (0, 1, 1), 10): (2, 2)
(2, 1, 1, (1, 0, 0), -12): (0, 1)
(2, 1, 1, (1, 0, 0), -11): (0, 3)
(2, 1, 1, (1, 0, 0), -10): (0, 6)
(2, 1, 1, (1, 0, 0), -9): (0, 13)
(2, 1, 1, (1, 0, 0), -8): (1, 16)
(2, 1, 1, (1, 0, 0), -7): (2, 48)
(2, 1, 1, (1, 0, 0), -6): (15, 116)
(2, 1, 1, (1, 0, 0), -5): (29, 169)
(2, 1, 1, (1, 0, 0), -4): (77, 405)
(2, 1, 1, (1, 0, 0), -3): (215, 792)
(2, 1, 1, (1, 0, 0), -2): (533, 1528)
(2, 1, 1, (1, 0, 0), -1): (1347, 2943)
(2, 1, 1, (1, 0, 0), 0): (4002, 6833)
(2, 1, 1, (1, 0, 0), 1): (1782, 2560)
(2, 1, 1, (1, 0, 0), 2): (1025, 1296)
(2, 1, 1, (1, 0, 0), 3): (530, 628)
(2, 1, 1, (1, 0, 0), 4): (287, 315)
(2, 1, 1, (1, 0, 0), 5): (130, 143)
(2, 1, 1, (1, 0, 0), 6): (79, 80)
(2, 1, 1, (1, 0, 0), 7): (32, 33)
(2, 1, 1, (1, 0, 0), 8): (17, 18)
(2, 1, 1, (1, 0, 0), 9): (6, 6)
(2, 1, 1, (1, 0, 0), 10): (3, 3)
(2, 1, 1, (1, 0, 0), 11): (2, 2)
(2, 1, 1, (1, 0, 0), 12): (1, 1)
(2, 1, 1, (1, 0, 0), 13): (2, 2)
(2, 1, 1, (1, 0, 1), -10): (0, 3)
(2, 1, 1, (1, 0, 1), -8): (0, 3)
(2, 1, 1, (1, 0, 1), -7): (2, 7)
(2, 1, 1, (1, 0, 1), -6): (0, 9)
(2, 1, 1, (1, 0, 1), -5): (3, 19)
(2, 1, 1, (1, 0, 1), -4): (18, 55)
(2, 1, 1, (1, 0, 1), -3): (32, 101)
(2, 1, 1, (1, 0, 1), -2): (88, 207)
(2, 1, 1, (1, 0, 1), -1): (220, 418)
(2, 1, 1, (1, 0, 1), 0): (602, 926)
(2, 1, 1, (1, 0, 1), 1): (436, 559)
(2, 1, 1, (1, 0, 1), 2): (269, 318)
(2, 1, 1, (1, 0, 1), 3): (140, 157)
(2, 1, 1, (1, 0, 1), 4): (101, 110)
(2, 1, 1, (1, 0, 1), 5): (49, 51)
(2, 1, 1, (1, 0, 1), 6): (15, 16)
(2, 1, 1, (1, 0, 1), 7): (13, 13)
(2, 1, 1, (1, 0, 1), 8): (7, 8)
(2, 1, 1, (1, 0, 1), 9): (1, 1)
(2, 1, 1, (1, 0, 1), 10): (1, 1)
(2, 1, 1, (1, 0, 1), 11): (2, 2)
(2, 1, 1, (1, 1, 0), -11): (0, 1)
(2, 1, 1, (1, 1, 0), -10): (0, 2)
(2, 1, 1, (1, 1, 0), -9): (0, 2)
(2, 1, 1, (1, 1, 0), -8): (0, 3)
(2, 1, 1, (1, 1, 0), -7): (1, 16)
(2, 1, 1, (1, 1, 0), -6): (4, 37)
(2, 1, 1, (1, 1, 0), -5): (11, 72)
(2, 1, 1, (1, 1, 0), -4): (26, 135)
(2, 1, 1, (1, 1, 0), -3): (95, 268)
(2, 1, 1, (1, 1, 0), -2): (196, 520)
(2, 1, 1, (1, 1, 0), -1): (445, 883)
(2, 1, 1, (1, 1, 0), 0): (1275, 2097)
(2, 1, 1, (1, 1, 0), 1): (732, 978)
(2, 1, 1, (1, 1, 0), 2): (394, 486)
(2, 1, 1, (1, 1, 0), 3): (237, 279)
(2, 1, 1, (1, 1, 0), 4): (135, 146)
(2, 1, 1, (1, 1, 0), 5): (70, 74)
(2, 1, 1, (1, 1, 0), 6): (35, 36)
(2, 1, 1, (1, 1, 0), 7): (28, 29)
(2, 1, 1, (1, 1, 0), 8): (8, 8)
(2, 1, 1, (1, 1, 0), 9): (5, 6)
(2, 1, 1, (1, 1, 0), 10): (1, 1)
(2, 1, 1, (1, 1, 0), 11): (2, 2)
(2, 1, 1, (1, 1, 0), 12): (2, 2)
(2, 1, 1, (1, 1, 0), 13): (1, 1)
(2, 1, 1, (1, 1, 1), -10): (0, 1)
(2, 1, 1, (1, 1, 1), -9): (0, 1)
(2, 1, 1, (1, 1, 1), -8): (0, 1)
(2, 1, 1, (1, 1, 1), -7): (1, 3)
(2, 1, 1, (1, 1, 1), -6): (0, 6)
(2, 1, 1, (1, 1, 1), -5): (6, 16)
(2, 1, 1, (1, 1, 1), -4): (7, 27)
(2, 1, 1, (1, 1, 1), -3): (32, 77)
(2, 1, 1, (1, 1, 1), -2): (57, 129)
(2, 1, 1, (1, 1, 1), -1): (137, 245)
(2, 1, 1, (1, 1, 1), 0): (402, 571)
(2, 1, 1, (1, 1, 1), 1): (269, 337)
(2, 1, 1, (1, 1, 1), 2): (166, 200)
(2, 1, 1, (1, 1, 1), 3): (116, 128)
(2, 1, 1, (1, 1, 1), 4): (74, 75)
(2, 1, 1, (1, 1, 1), 5): (42, 43)
(2, 1, 1, (1, 1, 1), 6): (14, 15)
(2, 1, 1, (1, 1, 1), 7): (10, 12)
(2, 1, 1, (1, 1, 1), 8): (4, 6)
(2, 1, 1, (1, 1, 1), 9): (1, 1)
(2, 1, 2, (0, 0, 0), -12): (0, 1)
(2, 1, 2, (0, 0, 0), -11): (0, 1)
(2, 1, 2, (0, 0, 0), -10): (0, 5)
(2, 1, 2, (0, 0, 0), -9): (0, 18)
(2, 1, 2, (0, 0, 0), -8): (2, 37)
(2, 1, 2, (0, 0, 0), -7): (1, 70)
(2, 1, 2, (0, 0, 0), -6): (7, 189)
(2, 1, 2, (0, 0, 0), -5): (45, 335)
(2, 1, 2, (0, 0, 0), -4): (101, 676)
(2, 1, 2, (0, 0, 0), -3): (325, 1436)
(2, 1, 2, (0, 0, 0), -2): (788, 2736)
(2, 1, 2, (0, 0, 0), -1): (2237, 5578)
(2, 1, 2, (0, 0, 0), 0): (6862, 12781)
(2, 1, 2, (0, 0, 0), 1): (3316, 4998)
(2, 1, 2, (0, 0, 0), 2): (1856, 2469)
(2, 1, 2, (0, 0, 0), 3): (1105, 1337)
(2, 1, 2, (0, 0, 0), 4): (582, 645)
(2, 1, 2, (0, 0, 0), 5): (321, 341)
(2, 1, 2, (0, 0, 0), 6): (158, 166)
(2, 1, 2, (0, 0, 0), 7): (73, 78)
(2, 1, 2, (0, 0, 0), 8): (41, 42)
(2, 1, 2, (0, 0, 0), 9): (16, 16)
(2, 1, 2, (0, 0, 0), 10): (11, 11)
(2, 1, 2, (0, 0, 0), 11): (3, 3)
(2, 1, 2, (0, 0, 0), 12): (2, 2)
(2, 1, 2, (0, 0, 0), 15): (1, 1)
(2, 1, 2, (0, 0, 1), -9): (1, 1)
(2, 1, 2, (0, 0, 1), -8): (0, 3)
(2, 1, 2, (0, 0, 1), -7): (0, 4)
(2, 1, 2, (0, 0, 1), -6): (3, 18)
(2, 1, 2, (0, 0, 1), -5): (6, 38)
(2, 1, 2, (0, 0, 1), -4): (16, 53)
(2, 1, 2, (0, 0, 1), -3): (32, 128)
(2, 1, 2, (0, 0, 1), -2): (73, 238)
(2, 1, 2, (0, 0, 1), -1): (220, 542)
(2, 1, 2, (0, 0, 1), 0): (713, 1221)
(2, 1, 2, (0, 0, 1), 1): (545, 808)
(2, 1, 2, (0, 0, 1), 2): (379, 483)
(2, 1, 2, (0, 0, 1), 3): (269, 314)
(2, 1, 2, (0, 0, 1), 4): (139, 150)
(2, 1, 2, (0, 0, 1), 5): (79, 84)
(2, 1, 2, (0, 0, 1), 6): (48, 48)
(2, 1, 2, (0, 0, 1), 7): (16, 16)
(2, 1, 2, (0, 0, 1), 8): (5, 5)
(2, 1, 2, (0, 0, 1), 9): (4, 4)
(2, 1, 2, (0, 0, 1), 10): (1, 1)
(2, 1, 2, (0, 0, 1), 11): (1, 1)
(2, 1, 2, (0, 1, 0), -12): (0, 1)
(2, 1, 2, (0, 1, 0), -11): (0, 1)
(2, 1, 2, (0, 1, 0), -10): (0, 1)
(2, 1, 2, (0, 1, 0), -9): (0, 3)
(2, 1, 2, (0, 1, 0), -8): (2, 9)
(2, 1, 2, (0, 1, 0), -7): (0, 8)
(2, 1, 2, (0, 1, 0), -6): (3, 27)
(2, 1, 2, (0, 1, 0), -5): (12, 66)
(2, 1, 2, (0, 1, 0), -4): (31, 152)
(2, 1, 2, (0, 1, 0), -3): (86, 301)
(2, 1, 2, (0, 1, 0), -2): (212, 620)
(2, 1, 2, (0, 1, 0), -1): (596, 1326)
(2, 1, 2, (0, 1, 0), 0): (1773, 3127)
(2, 1, 2, (0, 1, 0), 1): (1272, 1879)
(2, 1, 2, (0, 1, 0), 2): (898, 1160)
(2, 1, 2, (0, 1, 0), 3): (607, 703)
(2, 1, 2, (0, 1, 0), 4): (324, 353)
(2, 1, 2, (0, 1, 0), 5): (165, 175)
(2, 1, 2, (0, 1, 0), 6): (83, 87)
(2, 1, 2, (0, 1, 0), 7): (40, 40)
(2, 1, 2, (0, 1, 0), 8): (19, 19)
(2, 1, 2, (0, 1, 0), 9): (6, 6)
(2, 1, 2, (0, 1, 0), 10): (4, 4)
(2, 1, 2, (0, 1, 0), 11): (3, 3)
(2, 1, 2, (0, 1, 0), 13): (1, 1)
(2, 1, 2, (0, 1, 0), 16): (1, 1)
(2, 1, 2, (0, 1, 1), -11): (0, 1)
(2, 1, 2, (0, 1, 1), -9): (0, 2)
(2, 1, 2, (0, 1, 1), -8): (0, 3)
(2, 1, 2, (0, 1, 1), -7): (0, 4)
(2, 1, 2, (0, 1, 1), -6): (2, 8)
(2, 1, 2, (0, 1, 1), -5): (0, 12)
(2, 1, 2, (0, 1, 1), -4): (3, 33)
(2, 1, 2, (0, 1, 1), -3): (26, 78)
(2, 1, 2, (0, 1, 1), -2): (51, 162)
(2, 1, 2, (0, 1, 1), -1): (133, 280)
(2, 1, 2, (0, 1, 1), 0): (414, 678)
(2, 1, 2, (0, 1, 1), 1): (361, 518)
(2, 1, 2, (0, 1, 1), 2): (265, 322)
(2, 1, 2, (0, 1, 1), 3): (158, 181)
(2, 1, 2, (0, 1, 1), 4): (87, 91)
(2, 1, 2, (0, 1, 1), 5): (42, 44)
(2, 1, 2, (0, 1, 1), 6): (24, 25)
(2, 1, 2, (0, 1, 1), 7): (13, 13)
(2, 1, 2, (0, 1, 1), 8): (4, 4)
(2, 1, 2, (0, 1, 1), 9): (4, 4)
(2, 1, 2, (0, 1, 1), 10): (1, 1)
(2, 1, 2, (1, 0, 0), -12): (0, 1)
(2, 1, 2, (1, 0, 0), -11): (0, 2)
(2, 1, 2, (1, 0, 0), -10): (0, 5)
(2, 1, 2, (1, 0, 0), -9): (0, 11)
(2, 1, 2, (1, 0, 0), -8): (0, 18)
(2, 1, 2, (1, 0, 0), -7): (0, 37)
(2, 1, 2, (1, 0, 0), -6): (10, 104)
(2, 1, 2, (1, 0, 0), -5): (22, 171)
(2, 1, 2, (1, 0, 0), -4): (61, 380)
(2, 1, 2, (1, 0, 0), -3): (154, 716)
(2, 1, 2, (1, 0, 0), -2): (405, 1366)
(2, 1, 2, (1, 0, 0), -1): (1141, 2737)
(2, 1, 2, (1, 0, 0), 0): (3334, 5980)
(2, 1, 2, (1, 0, 0), 1): (1849, 2729)
(2, 1, 2, (1, 0, 0), 2): (1208, 1592)
(2, 1, 2, (1, 0, 0), 3): (670, 802)
(2, 1, 2, (1, 0, 0), 4): (414, 452)
(2, 1, 2, (1, 0, 0), 5): (209, 230)
(2, 1, 2, (1, 0, 0), 6): (109, 115)
(2, 1, 2, (1, 0, 0), 7): (50, 56)
(2, 1, 2, (1, 0, 0), 8): (30, 30)
(2, 1, 2, (1, 0, 0), 9): (16, 16)
(2, 1, 2, (1, 0, 0), 10): (5, 5)
(2, 1, 2, (1, 0, 0), 11): (1, 1)
(2, 1, 2, (1, 0, 0), 12): (2, 2)
(2, 1, 2, (1, 0, 0), 13): (1, 1)
(2, 1, 2, (1, 0, 0), 15): (1, 1)
(2, 1, 2, (1, 0, 1), -10): (0, 2)
(2, 1, 2, (1, 0, 1), -9): (0, 3)
(2, 1, 2, (1, 0, 1), -8): (1, 6)
(2, 1, 2, (1, 0, 1), -7): (1, 5)
(2, 1, 2, (1, 0, 1), -6): (1, 11)
(2, 1, 2, (1, 0, 1), -5): (5, 32)
(2, 1, 2, (1, 0, 1), -4): (8, 57)
(2, 1, 2, (1, 0, 1), -3): (28, 112)
(2, 1, 2, (1, 0, 1), -2): (105, 263)
(2, 1, 2, (1, 0, 1), -1): (216, 494)
(2, 1, 2, (1, 0, 1), 0): (560, 1008)
(2, 1, 2, (1, 0, 1), 1): (494, 706)
(2, 1, 2, (1, 0, 1), 2): (357, 432)
(2, 1, 2, (1, 0, 1), 3): (234, 274)
(2, 1, 2, (1, 0, 1), 4): (131, 151)
(2, 1, 2, (1, 0, 1), 5): (85, 88)
(2, 1, 2, (1, 0, 1), 6): (34, 34)
(2, 1, 2, (1, 0, 1), 7): (22, 22)
(2, 1, 2, (1, 0, 1), 8): (14, 14)
(2, 1, 2, (1, 0, 1), 9): (2, 2)
(2, 1, 2, (1, 0, 1), 10): (1, 1)
(2, 1, 2, (1, 0, 1), 11): (1, 1)
(2, 1, 2, (1, 0, 1), 14): (1, 1)
(2, 1, 2, (1, 1, 0), -11): (0, 1)
(2, 1, 2, (1, 1, 0), -9): (0, 4)
(2, 1, 2, (1, 1, 0), -8): (0, 7)
(2, 1, 2, (1, 1, 0), -7): (0, 19)
(2, 1, 2, (1, 1, 0), -6): (2, 38)
(2, 1, 2, (1, 1, 0), -5): (7, 73)
(2, 1, 2, (1, 1, 0), -4): (24, 136)
(2, 1, 2, (1, 1, 0), -3): (77, 288)
(2, 1, 2, (1, 1, 0), -2): (175, 567)
(2, 1, 2, (1, 1, 0), -1): (484, 1067)
(2, 1, 2, (1, 1, 0), 0): (1380, 2410)
(2, 1, 2, (1, 1, 0), 1): (984, 1390)
(2, 1, 2, (1, 1, 0), 2): (632, 781)
(2, 1, 2, (1, 1, 0), 3): (368, 439)
(2, 1, 2, (1, 1, 0), 4): (234, 251)
(2, 1, 2, (1, 1, 0), 5): (124, 136)
(2, 1, 2, (1, 1, 0), 6): (59, 62)
(2, 1, 2, (1, 1, 0), 7): (38, 39)
(2, 1, 2, (1, 1, 0), 8): (15, 15)
(2, 1, 2, (1, 1, 0), 9): (10, 11)
(2, 1, 2, (1, 1, 0), 10): (2, 2)
(2, 1, 2, (1, 1, 0), 11): (2, 2)
(2, 1, 2, (1, 1, 0), 12): (1, 1)
(2, 1, 2, (1, 1, 0), 13): (1, 1)
(2, 1, 2, (1, 1, 1), -11): (0, 1)
(2, 1, 2, (1, 1, 1), -9): (0, 1)
(2, 1, 2, (1, 1, 1), -8): (0, 2)
(2, 1, 2, (1, 1, 1), -7): (1, 5)
(2, 1, 2, (1, 1, 1), -6): (0, 6)
(2, 1, 2, (1, 1, 1), -5): (3, 11)
(2, 1, 2, (1, 1, 1), -4): (5, 35)
(2, 1, 2, (1, 1, 1), -3): (27, 85)
(2, 1, 2, (1, 1, 1), -2): (68, 167)
(2, 1, 2, (1, 1, 1), -1): (124, 288)
(2, 1, 2, (1, 1, 1), 0): (398, 639)
(2, 1, 2, (1, 1, 1), 1): (328, 456)
(2, 1, 2, (1, 1, 1), 2): (235, 299)
(2, 1, 2, (1, 1, 1), 3): (156, 187)
(2, 1, 2, (1, 1, 1), 4): (90, 96)
(2, 1, 2, (1, 1, 1), 5): (63, 69)
(2, 1, 2, (1, 1, 1), 6): (29, 29)
(2, 1, 2, (1, 1, 1), 7): (19, 19)
(2, 1, 2, (1, 1, 1), 8): (5, 6)
(2, 1, 2, (1, 1, 1), 9): (5, 5)
(3, 0, 0, (0, 0, 0), -16): (0, 1)
(3, 0, 0, (0, 0, 0), -15): (0, 1)
(3, 0, 0, (0, 0, 0), -13): (0, 1)
(3, 0, 0, (0, 0, 0), -12): (0, 6)
(3, 0, 0, (0, 0, 0), -11): (0, 12)
(3, 0, 0, (0, 0, 0), -10): (0, 20)
(3, 0, 0, (0, 0, 0), -9): (1, 44)
(3, 0, 0, (0, 0, 0), -8): (3, 100)
(3, 0, 0, (0, 0, 0), -7): (8, 192)
(3, 0, 0, (0, 0, 0), -6): (16, 392)
(3, 0, 0, (0, 0, 0), -5): (54, 777)
(3, 0, 0, (0, 0, 0), -4): (147, 1409)
(3, 0, 0, (0, 0, 0), -3): (493, 2877)
(3, 0, 0, (0, 0, 0), -2): (1264, 5210)
(3, 0, 0, (0, 0, 0), -1): (3380, 9827)
(3, 0, 0, (0, 0, 0), 0): (9576, 20392)
(3, 0, 0, (0, 0, 0), 1): (5582, 9237)
(3, 0, 0, (0, 0, 0), 2): (3327, 4673)
(3, 0, 0, (0, 0, 0), 3): (1910, 2448)
(3, 0, 0, (0, 0, 0), 4): (1076, 1247)
(3, 0, 0, (0, 0, 0), 5): (539, 618)
(3, 0, 0, (0, 0, 0), 6): (323, 343)
(3, 0, 0, (0, 0, 0), 7): (137, 140)
(3, 0, 0, (0, 0, 0), 8): (62, 65)
(3, 0, 0, (0, 0, 0), 9): (34, 35)
(3, 0, 0, (0, 0, 0), 10): (17, 17)
(3, 0, 0, (0, 0, 0), 11): (4, 4)
(3, 0, 0, (0, 0, 0), 12): (4, 4)
(3, 0, 0, (0, 0, 1), -9): (0, 2)
(3, 0, 0, (0, 0, 1), -8): (0, 1)
(3, 0, 0, (0, 0, 1), -7): (0, 1)
(3, 0, 0, (0, 0, 1), -6): (0, 1)
(3, 0, 0, (0, 0, 1), -5): (0, 7)
(3, 0, 0, (0, 0, 1), -4): (4, 12)
(3, 0, 0, (0, 0, 1), -3): (7, 29)
(3, 0, 0, (0, 0, 1), -2): (16, 59)
(3, 0, 0, (0, 0, 1), -1): (50, 98)
(3, 0, 0, (0, 0, 1), 0): (108, 186)
(3, 0, 0, (0, 0, 1), 1): (112, 162)
(3, 0, 0, (0, 0, 1), 2): (77, 98)
(3, 0, 0, (0, 0, 1), 3): (47, 55)
(3, 0, 0, (0, 0, 1), 4): (28, 29)
(3, 0, 0, (0, 0, 1), 5): (12, 12)
(3, 0, 0, (0, 0, 1), 6): (7, 7)
(3, 0, 0, (0, 0, 1), 7): (6, 6)
(3, 0, 0, (0, 0, 1), 8): (2, 2)
(3, 0, 0, (0, 0, 1), 9): (1, 1)
(3, 0, 0, (0, 1, 0), -10): (0, 1)
(3, 0, 0, (0, 1, 0), -9): (0, 1)
(3, 0, 0, (0, 1, 0), -8): (0, 6)
(3, 0, 0, (0, 1, 0), -7): (1, 5)
(3, 0, 0, (0, 1, 0), -6): (1, 26)
(3, 0, 0, (0, 1, 0), -5): (6, 54)
(3, 0, 0, (0, 1, 0), -4): (16, 76)
(3, 0, 0, (0, 1, 0), -3): (35, 170)
(3, 0, 0, (0, 1, 0), -2): (88, 315)
(3, 0, 0, (0, 1, 0), -1): (254, 608)
(3, 0, 0, (0, 1, 0), 0): (714, 1309)
(3, 0, 0, (0, 1, 0), 1): (509, 746)
(3, 0, 0, (0, 1, 0), 2): (346, 461)
(3, 0, 0, (0, 1, 0), 3): (197, 256)
(3, 0, 0, (0, 1, 0), 4): (94, 113)
(3, 0, 0, (0, 1, 0), 5): (74, 81)
(3, 0, 0, (0, 1, 0), 6): (32, 33)
(3, 0, 0, (0, 1, 0), 7): (11, 11)
(3, 0, 0, (0, 1, 0), 8): (9, 10)
(3, 0, 0, (0, 1, 0), 9): (3, 4)
(3, 0, 0, (0, 1, 0), 10): (1, 1)
(3, 0, 0, (0, 1, 1), -16): (0, 1)
(3, 0, 0, (0, 1, 1), -8): (0, 1)
(3, 0, 0, (0, 1, 1), -7): (0, 5)
(3, 0, 0, (0, 1, 1), -6): (1, 1)
(3, 0, 0, (0, 1, 1), -5): (1, 9)
(3, 0, 0, (0, 1, 1), -4): (4, 11)
(3, 0, 0, (0, 1, 1), -3): (8, 28)
(3, 0, 0, (0, 1, 1), -2): (20, 52)
(3, 0, 0, (0, 1, 1), -1): (50, 103)
(3, 0, 0, (0, 1, 1), 0): (108, 190)
(3, 0, 0, (0, 1, 1), 1): (99, 130)
(3, 0, 0, (0, 1, 1), 2): (84, 104)
(3, 0, 0, (0, 1, 1), 3): (51, 60)
(3, 0, 0, (0, 1, 1), 4): (26, 30)
(3, 0, 0, (0, 1, 1), 5): (14, 15)
(3, 0, 0, (0, 1, 1), 6): (14, 15)
(3, 0, 0, (0, 1, 1), 7): (4, 4)
(3, 0, 0, (0, 1, 1), 8): (1, 1)
(3, 0, 0, (0, 1, 1), 9): (1, 1)
(3, 0, 0, (0, 1, 1), 12): (1, 1)
(3, 0, 0, (1, 0, 0), -16): (0, 1)
(3, 0, 0, (1, 0, 0), -11): (0, 2)
(3, 0, 0, (1, 0, 0), -10): (0, 2)
(3, 0, 0, (1, 0, 0), -9): (0, 9)
(3, 0, 0, (1, 0, 0), -8): (1, 25)
(3, 0, 0, (1, 0, 0), -7): (1, 44)
(3, 0, 0, (1, 0, 0), -6): (5, 85)
(3, 0, 0, (1, 0, 0), -5): (17, 197)
(3, 0, 0, (1, 0, 0), -4): (46, 324)
(3, 0, 0, (1, 0, 0), -3): (126, 696)
(3, 0, 0, (1, 0, 0), -2): (339, 1217)
(3, 0, 0, (1, 0, 0), -1): (857, 2286)
(3, 0, 0, (1, 0, 0), 0): (2476, 4797)
(3, 0, 0, (1, 0, 0), 1): (1442, 2287)
(3, 0, 0, (1, 0, 0), 2): (900, 1233)
(3, 0, 0, (1, 0, 0), 3): (548, 667)
(3, 0, 0, (1, 0, 0), 4): (293, 343)
(3, 0, 0, (1, 0, 0), 5): (147, 168)
(3, 0, 0, (1, 0, 0), 6): (95, 102)
(3, 0, 0, (1, 0, 0), 7): (36, 38)
(3, 0, 0, (1, 0, 0), 8): (15, 16)
(3, 0, 0, (1, 0, 0), 9): (13, 13)
(3, 0, 0, (1, 0, 0), 10): (5, 5)
(3, 0, 0, (1, 0, 0), 11): (4, 4)
(3, 0, 0, (1, 0, 0), 12): (1, 1)
(3, 0, 0, (1, 0, 1), -8): (1, 2)
(3, 0, 0, (1, 0, 1), -7): (0, 1)
(3, 0, 0, (1, 0, 1), -6): (1, 3)
(3, 0, 0, (1, 0, 1), -5): (3, 12)
(3, 0, 0, (1, 0, 1), -4): (7, 30)
(3, 0, 0, (1, 0, 1), -3): (8, 40)
(3, 0, 0, (1, 0, 1), -2): (27, 80)
(3, 0, 0, (1, 0, 1), -1): (79, 161)
(3, 0, 0, (1, 0, 1), 0): (237, 388)
(3, 0, 0, (1, 0, 1), 1): (187, 257)
(3, 0, 0, (1, 0, 1), 2): (135, 170)
(3, 0, 0, (1, 0, 1), 3): (81, 95)
(3, 0, 0, (1, 0, 1), 4): (35, 37)
(3, 0, 0, (1, 0, 1), 5): (21, 21)
(3, 0, 0, (1, 0, 1), 6): (11, 11)
(3, 0, 0, (1, 0, 1), 7): (6, 6)
(3, 0, 0, (1, 0, 1), 8): (3, 3)
(3, 0, 0, (1, 0, 1), 9): (1, 1)
(3, 0, 0, (1, 1, 0), -10): (0, 2)
(3, 0, 0, (1, 1, 0), -8): (0, 6)
(3, 0, 0, (1, 1, 0), -7): (2, 14)
(3, 0, 0, (1, 1, 0), -6): (2, 24)
(3, 0, 0, (1, 1, 0), -5): (7, 52)
(3, 0, 0, (1, 1, 0), -4): (13, 75)
(3, 0, 0, (1, 1, 0), -3): (34, 145)
(3, 0, 0, (1, 1, 0), -2): (92, 259)
(3, 0, 0, (1, 1, 0), -1): (179, 444)
(3, 0, 0, (1, 1, 0), 0): (471, 816)
(3, 0, 0, (1, 1, 0), 1): (366, 546)
(3, 0, 0, (1, 1, 0), 2): (250, 323)
(3, 0, 0, (1, 1, 0), 3): (162, 187)
(3, 0, 0, (1, 1, 0), 4): (89, 106)
(3, 0, 0, (1, 1, 0), 5): (55, 60)
(3, 0, 0, (1, 1, 0), 6): (25, 26)
(3, 0, 0, (1, 1, 0), 7): (15, 15)
(3, 0, 0, (1, 1, 0), 8): (6, 7)
(3, 0, 0, (1, 1, 0), 9): (3, 3)
(3, 0, 0, (1, 1, 0), 10): (1, 1)
(3, 0, 0, (1, 1, 1), -10): (0, 1)
(3, 0, 0, (1, 1, 1), -8): (1, 4)
(3, 0, 0, (1, 1, 1), -7): (0, 5)
(3, 0, 0, (1, 1, 1), -6): (0, 4)
(3, 0, 0, (1, 1, 1), -5): (1, 11)
(3, 0, 0, (1, 1, 1), -4): (1, 12)
(3, 0, 0, (1, 1, 1), -3): (8, 29)
(3, 0, 0, (1, 1, 1), -2): (27, 56)
(3, 0, 0, (1, 1, 1), -1): (57, 97)
(3, 0, 0, (1, 1, 1), 0): (121, 180)
(3, 0, 0, (1, 1, 1), 1): (105, 138)
(3, 0, 0, (1, 1, 1), 2): (74, 87)
(3, 0, 0, (1, 1, 1), 3): (49, 57)
(3, 0, 0, (1, 1, 1), 4): (35, 39)
(3, 0, 0, (1, 1, 1), 5): (17, 20)
(3, 0, 0, (1, 1, 1), 6): (6, 6)
(3, 0, 0, (1, 1, 1), 7): (2, 2)
(3, 0, 0, (1, 1, 1), 8): (0, 1)
(3, 0, 1, (0, 0, 0), -15): (0, 1)
(3, 0, 1, (0, 0, 0), -13): (0, 1)
(3, 0, 1, (0, 0, 0), -12): (0, 6)
(3, 0, 1, (0, 0, 0), -11): (0, 8)
(3, 0, 1, (0, 0, 0), -10): (0, 17)
(3, 0, 1, (0, 0, 0), -9): (1, 32)
(3, 0, 1, (0, 0, 0), -8): (2, 72)
(3, 0, 1, (0, 0, 0), -7): (6, 141)
(3, 0, 1, (0, 0, 0), -6): (10, 274)
(3, 0, 1, (0, 0, 0), -5): (33, 531)
(3, 0, 1, (0, 0, 0), -4): (86, 1008)
(3, 0, 1, (0, 0, 0), -3): (328, 2042)
(3, 0, 1, (0, 0, 0), -2): (837, 3769)
(3, 0, 1, (0, 0, 0), -1): (2331, 7137)
(3, 0, 1, (0, 0, 0), 0): (6587, 14775)
(3, 0, 1, (0, 0, 0), 1): (3987, 6864)
(3, 0, 1, (0, 0, 0), 2): (2475, 3564)
(3, 0, 1, (0, 0, 0), 3): (1517, 1973)
(3, 0, 1, (0, 0, 0), 4): (927, 1078)
(3, 0, 1, (0, 0, 0), 5): (466, 533)
(3, 0, 1, (0, 0, 0), 6): (271, 286)
(3, 0, 1, (0, 0, 0), 7): (117, 119)
(3, 0, 1, (0, 0, 0), 8): (65, 68)
(3, 0, 1, (0, 0, 0), 9): (25, 25)
(3, 0, 1, (0, 0, 0), 10): (15, 15)
(3, 0, 1, (0, 0, 0), 11): (3, 3)
(3, 0, 1, (0, 0, 0), 12): (4, 4)
(3, 0, 1, (0, 0, 1), -15): (0, 1)
(3, 0, 1, (0, 0, 1), -10): (0, 1)
(3, 0, 1, (0, 0, 1), -9): (0, 2)
(3, 0, 1, (0, 0, 1), -8): (0, 5)
(3, 0, 1, (0, 0, 1), -7): (0, 2)
(3, 0, 1, (0, 0, 1), -6): (1, 14)
(3, 0, 1, (0, 0, 1), -5): (2, 16)
(3, 0, 1, (0, 0, 1), -4): (8, 41)
(3, 0, 1, (0, 0, 1), -3): (26, 92)
(3, 0, 1, (0, 0, 1), -2): (51, 184)
(3, 0, 1, (0, 0, 1), -1): (144, 375)
(3, 0, 1, (0, 0, 1), 0): (439, 836)
(3, 0, 1, (0, 0, 1), 1): (389, 590)
(3, 0, 1, (0, 0, 1), 2): (229, 300)
(3, 0, 1, (0, 0, 1), 3): (169, 212)
(3, 0, 1, (0, 0, 1), 4): (85, 99)
(3, 0, 1, (0, 0, 1), 5): (50, 55)
(3, 0, 1, (0, 0, 1), 6): (22, 23)
(3, 0, 1, (0, 0, 1), 7): (11, 11)
(3, 0, 1, (0, 0, 1), 8): (8, 8)
(3, 0, 1, (0, 0, 1), 9): (2, 2)
(3, 0, 1, (0, 1, 0), -11): (0, 1)
(3, 0, 1, (0, 1, 0), -10): (0, 2)
(3, 0, 1, (0, 1, 0), -9): (0, 4)
(3, 0, 1, (0, 1, 0), -8): (1, 13)
(3, 0, 1, (0, 1, 0), -7): (0, 12)
(3, 0, 1, (0, 1, 0), -6): (2, 30)
(3, 0, 1, (0, 1, 0), -5): (1, 71)
(3, 0, 1, (0, 1, 0), -4): (13, 130)
(3, 0, 1, (0, 1, 0), -3): (52, 293)
(3, 0, 1, (0, 1, 0), -2): (151, 569)
(3, 0, 1, (0, 1, 0), -1): (453, 1232)
(3, 0, 1, (0, 1, 0), 0): (1336, 2656)
(3, 0, 1, (0, 1, 0), 1): (942, 1509)
(3, 0, 1, (0, 1, 0), 2): (620, 868)
(3, 0, 1, (0, 1, 0), 3): (372, 465)
(3, 0, 1, (0, 1, 0), 4): (231, 265)
(3, 0, 1, (0, 1, 0), 5): (121, 141)
(3, 0, 1, (0, 1, 0), 6): (72, 76)
(3, 0, 1, (0, 1, 0), 7): (21, 23)
(3, 0, 1, (0, 1, 0), 8): (17, 18)
(3, 0, 1, (0, 1, 0), 9): (5, 6)
(3, 0, 1, (0, 1, 0), 10): (4, 4)
(3, 0, 1, (0, 1, 0), 11): (3, 3)
(3, 0, 1, (0, 1, 0), 12): (1, 1)
(3, 0, 1, (0, 1, 1), -11): (0, 1)
(3, 0, 1, (0, 1, 1), -8): (0, 3)
(3, 0, 1, (0, 1, 1), -7): (1, 4)
(3, 0, 1, (0, 1, 1), -6): (0, 11)
(3, 0, 1, (0, 1, 1), -5): (3, 22)
(3, 0, 1, (0, 1, 1), -4): (7, 36)
(3, 0, 1, (0, 1, 1), -3): (30, 79)
(3, 0, 1, (0, 1, 1), -2): (44, 139)
(3, 0, 1, (0, 1, 1), -1): (117, 286)
(3, 0, 1, (0, 1, 1), 0): (325, 564)
(3, 0, 1, (0, 1, 1), 1): (245, 380)
(3, 0, 1, (0, 1, 1), 2): (191, 257)
(3, 0, 1, (0, 1, 1), 3): (133, 160)
(3, 0, 1, (0, 1, 1), 4): (97, 112)
(3, 0, 1, (0, 1, 1), 5): (43, 49)
(3, 0, 1, (0, 1, 1), 6): (33, 34)
(3, 0, 1, (0, 1, 1), 7): (7, 7)
(3, 0, 1, (0, 1, 1), 8): (6, 6)
(3, 0, 1, (0, 1, 1), 9): (4, 5)
(3, 0, 1, (0, 1, 1), 10): (1, 1)
(3, 0, 1, (0, 1, 1), 11): (2, 2)
(3, 0, 1, (0, 1, 1), 12): (1, 1)
(3, 0, 1, (1, 0, 0), -14): (0, 1)
(3, 0, 1, (1, 0, 0), -12): (0, 2)
(3, 0, 1, (1, 0, 0), -11): (0, 5)
(3, 0, 1, (1, 0, 0), -10): (0, 4)
(3, 0, 1, (1, 0, 0), -9): (1, 13)
(3, 0, 1, (1, 0, 0), -8): (0, 28)
(3, 0, 1, (1, 0, 0), -7): (3, 61)
(3, 0, 1, (1, 0, 0), -6): (5, 115)
(3, 0, 1, (1, 0, 0), -5): (17, 226)
(3, 0, 1, (1, 0, 0), -4): (40, 400)
(3, 0, 1, (1, 0, 0), -3): (167, 800)
(3, 0, 1, (1, 0, 0), -2): (338, 1389)
(3, 0, 1, (1, 0, 0), -1): (962, 2658)
(3, 0, 1, (1, 0, 0), 0): (2455, 5276)
(3, 0, 1, (1, 0, 0), 1): (1767, 2908)
(3, 0, 1, (1, 0, 0), 2): (1174, 1698)
(3, 0, 1, (1, 0, 0), 3): (704, 886)
(3, 0, 1, (1, 0, 0), 4): (452, 524)
(3, 0, 1, (1, 0, 0), 5): (208, 242)
(3, 0, 1, (1, 0, 0), 6): (131, 145)
(3, 0, 1, (1, 0, 0), 7): (61, 63)
(3, 0, 1, (1, 0, 0), 8): (32, 32)
(3, 0, 1, (1, 0, 0), 9): (13, 13)
(3, 0, 1, (1, 0, 0), 10): (7, 7)
(3, 0, 1, (1, 0, 0), 11): (4, 4)
(3, 0, 1, (1, 0, 0), 12): (1, 1)
(3, 0, 1, (1, 0, 1), -8): (0, 4)
(3, 0, 1, (1, 0, 1), -7): (0, 5)
(3, 0, 1, (1, 0, 1), -6): (1, 16)
(3, 0, 1, (1, 0, 1), -5): (5, 26)
(3, 0, 1, (1, 0, 1), -4): (11, 50)
(3, 0, 1, (1, 0, 1), -3): (36, 120)
(3, 0, 1, (1, 0, 1), -2): (71, 203)
(3, 0, 1, (1, 0, 1), -1): (135, 358)
(3, 0, 1, (1, 0, 1), 0): (421, 750)
(3, 0, 1, (1, 0, 1), 1): (390, 565)
(3, 0, 1, (1, 0, 1), 2): (269, 366)
(3, 0, 1, (1, 0, 1), 3): (177, 220)
(3, 0, 1, (1, 0, 1), 4): (101, 118)
(3, 0, 1, (1, 0, 1), 5): (47, 52)
(3, 0, 1, (1, 0, 1), 6): (27, 29)
(3, 0, 1, (1, 0, 1), 7): (17, 17)
(3, 0, 1, (1, 0, 1), 8): (11, 11)
(3, 0, 1, (1, 0, 1), 9): (2, 3)
(3, 0, 1, (1, 0, 1), 10): (1, 1)
(3, 0, 1, (1, 0, 1), 11): (1, 1)
(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, 1)
(3, 0, 1, (1, 1, 0), -11): (0, 1)
(3, 0, 1, (1, 1, 0), -10): (0, 3)
(3, 0, 1, (1, 1, 0), -9): (0, 4)
(3, 0, 1, (1, 1, 0), -8): (0, 7)
(3, 0, 1, (1, 1, 0), -7): (3, 19)
(3, 0, 1, (1, 1, 0), -6): (1, 37)
(3, 0, 1, (1, 1, 0), -5): (5, 86)
(3, 0, 1, (1, 1, 0), -4): (22, 128)
(3, 0, 1, (1, 1, 0), -3): (51, 240)
(3, 0, 1, (1, 1, 0), -2): (136, 438)
(3, 0, 1, (1, 1, 0), -1): (333, 786)
(3, 0, 1, (1, 1, 0), 0): (728, 1446)
(3, 0, 1, (1, 1, 0), 1): (660, 1030)
(3, 0, 1, (1, 1, 0), 2): (512, 704)
(3, 0, 1, (1, 1, 0), 3): (294, 363)
(3, 0, 1, (1, 1, 0), 4): (182, 227)
(3, 0, 1, (1, 1, 0), 5): (113, 125)
(3, 0, 1, (1, 1, 0), 6): (62, 65)
(3, 0, 1, (1, 1, 0), 7): (31, 32)
(3, 0, 1, (1, 1, 0), 8): (16, 16)
(3, 0, 1, (1, 1, 0), 9): (7, 7)
(3, 0, 1, (1, 1, 0), 10): (4, 4)
(3, 0, 1, (1, 1, 0), 11): (3, 4)
(3, 0, 1, (1, 1, 0), 12): (1, 2)
(3, 0, 1, (1, 1, 1), -10): (0, 1)
(3, 0, 1, (1, 1, 1), -8): (1, 6)
(3, 0, 1, (1, 1, 1), -7): (0, 5)
(3, 0, 1, (1, 1, 1), -6): (0, 12)
(3, 0, 1, (1, 1, 1), -5): (2, 25)
(3, 0, 1, (1, 1, 1), -4): (2, 32)
(3, 0, 1, (1, 1, 1), -3): (18, 56)
(3, 0, 1, (1, 1, 1), -2): (35, 105)
(3, 0, 1, (1, 1, 1), -1): (93, 206)
(3, 0, 1, (1, 1, 1), 0): (266, 433)
(3, 0, 1, (1, 1, 1), 1): (250, 372)
(3, 0, 1, (1, 1, 1), 2): (212, 276)
(3, 0, 1, (1, 1, 1), 3): (147, 177)
(3, 0, 1, (1, 1, 1), 4): (92, 112)
(3, 0, 1, (1, 1, 1), 5): (47, 56)
(3, 0, 1, (1, 1, 1), 6): (19, 19)
(3, 0, 1, (1, 1, 1), 7): (12, 13)
(3, 0, 1, (1, 1, 1), 8): (3, 3)
(3, 0, 1, (1, 1, 1), 9): (4, 5)
(3, 0, 1, (1, 1, 1), 10): (2, 2)
(3, 0, 1, (1, 1, 1), 11): (3, 3)
(3, 0, 1, (1, 1, 1), 12): (1, 1)
(3, 0, 1, (1, 1, 1), 13): (1, 1)
(3, 0, 2, (0, 0, 0), -15): (0, 1)
(3, 0, 2, (0, 0, 0), -13): (0, 1)
(3, 0, 2, (0, 0, 0), -12): (0, 4)
(3, 0, 2, (0, 0, 0), -11): (0, 5)
(3, 0, 2, (0, 0, 0), -10): (0, 12)
(3, 0, 2, (0, 0, 0), -9): (0, 23)
(3, 0, 2, (0, 0, 0), -8): (1, 50)
(3, 0, 2, (0, 0, 0), -7): (3, 106)
(3, 0, 2, (0, 0, 0), -6): (6, 201)
(3, 0, 2, (0, 0, 0), -5): (25, 420)
(3, 0, 2, (0, 0, 0), -4): (62, 758)
(3, 0, 2, (0, 0, 0), -3): (218, 1586)
(3, 0, 2, (0, 0, 0), -2): (618, 2942)
(3, 0, 2, (0, 0, 0), -1): (1654, 5441)
(3, 0, 2, (0, 0, 0), 0): (5029, 11555)
(3, 0, 2, (0, 0, 0), 1): (3117, 5601)
(3, 0, 2, (0, 0, 0), 2): (2136, 3144)
(3, 0, 2, (0, 0, 0), 3): (1406, 1866)
(3, 0, 2, (0, 0, 0), 4): (918, 1097)
(3, 0, 2, (0, 0, 0), 5): (460, 522)
(3, 0, 2, (0, 0, 0), 6): (283, 299)
(3, 0, 2, (0, 0, 0), 7): (121, 126)
(3, 0, 2, (0, 0, 0), 8): (54, 57)
(3, 0, 2, (0, 0, 0), 9): (36, 36)
(3, 0, 2, (0, 0, 0), 10): (16, 16)
(3, 0, 2, (0, 0, 0), 11): (6, 6)
(3, 0, 2, (0, 0, 0), 12): (3, 3)
(3, 0, 2, (0, 0, 1), -11): (0, 1)
(3, 0, 2, (0, 0, 1), -10): (0, 2)
(3, 0, 2, (0, 0, 1), -9): (0, 1)
(3, 0, 2, (0, 0, 1), -8): (1, 6)
(3, 0, 2, (0, 0, 1), -7): (0, 9)
(3, 0, 2, (0, 0, 1), -6): (1, 11)
(3, 0, 2, (0, 0, 1), -5): (2, 25)
(3, 0, 2, (0, 0, 1), -4): (7, 64)
(3, 0, 2, (0, 0, 1), -3): (30, 142)
(3, 0, 2, (0, 0, 1), -2): (72, 276)
(3, 0, 2, (0, 0, 1), -1): (185, 554)
(3, 0, 2, (0, 0, 1), 0): (558, 1189)
(3, 0, 2, (0, 0, 1), 1): (528, 853)
(3, 0, 2, (0, 0, 1), 2): (363, 509)
(3, 0, 2, (0, 0, 1), 3): (227, 296)
(3, 0, 2, (0, 0, 1), 4): (149, 173)
(3, 0, 2, (0, 0, 1), 5): (89, 99)
(3, 0, 2, (0, 0, 1), 6): (37, 44)
(3, 0, 2, (0, 0, 1), 7): (29, 31)
(3, 0, 2, (0, 0, 1), 8): (17, 18)
(3, 0, 2, (0, 0, 1), 9): (6, 6)
(3, 0, 2, (0, 0, 1), 10): (4, 5)
(3, 0, 2, (0, 0, 1), 11): (1, 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, 4)
(3, 0, 2, (0, 1, 0), -9): (0, 8)
(3, 0, 2, (0, 1, 0), -8): (1, 10)
(3, 0, 2, (0, 1, 0), -7): (0, 24)
(3, 0, 2, (0, 1, 0), -6): (2, 48)
(3, 0, 2, (0, 1, 0), -5): (2, 87)
(3, 0, 2, (0, 1, 0), -4): (12, 146)
(3, 0, 2, (0, 1, 0), -3): (70, 413)
(3, 0, 2, (0, 1, 0), -2): (171, 716)
(3, 0, 2, (0, 1, 0), -1): (532, 1513)
(3, 0, 2, (0, 1, 0), 0): (1418, 3082)
(3, 0, 2, (0, 1, 0), 1): (1079, 1878)
(3, 0, 2, (0, 1, 0), 2): (843, 1224)
(3, 0, 2, (0, 1, 0), 3): (525, 686)
(3, 0, 2, (0, 1, 0), 4): (375, 420)
(3, 0, 2, (0, 1, 0), 5): (169, 200)
(3, 0, 2, (0, 1, 0), 6): (124, 131)
(3, 0, 2, (0, 1, 0), 7): (54, 58)
(3, 0, 2, (0, 1, 0), 8): (22, 22)
(3, 0, 2, (0, 1, 0), 9): (14, 15)
(3, 0, 2, (0, 1, 0), 10): (7, 7)
(3, 0, 2, (0, 1, 0), 11): (3, 3)
(3, 0, 2, (0, 1, 0), 12): (6, 6)
(3, 0, 2, (0, 1, 0), 13): (3, 3)
(3, 0, 2, (0, 1, 0), 14): (1, 1)
(3, 0, 2, (0, 1, 1), -14): (0, 1)
(3, 0, 2, (0, 1, 1), -11): (0, 2)
(3, 0, 2, (0, 1, 1), -9): (0, 1)
(3, 0, 2, (0, 1, 1), -8): (0, 1)
(3, 0, 2, (0, 1, 1), -7): (0, 6)
(3, 0, 2, (0, 1, 1), -6): (0, 12)
(3, 0, 2, (0, 1, 1), -5): (1, 17)
(3, 0, 2, (0, 1, 1), -4): (8, 42)
(3, 0, 2, (0, 1, 1), -3): (19, 80)
(3, 0, 2, (0, 1, 1), -2): (33, 125)
(3, 0, 2, (0, 1, 1), -1): (91, 258)
(3, 0, 2, (0, 1, 1), 0): (231, 501)
(3, 0, 2, (0, 1, 1), 1): (234, 381)
(3, 0, 2, (0, 1, 1), 2): (233, 314)
(3, 0, 2, (0, 1, 1), 3): (137, 175)
(3, 0, 2, (0, 1, 1), 4): (100, 126)
(3, 0, 2, (0, 1, 1), 5): (59, 68)
(3, 0, 2, (0, 1, 1), 6): (62, 65)
(3, 0, 2, (0, 1, 1), 7): (15, 15)
(3, 0, 2, (0, 1, 1), 8): (8, 8)
(3, 0, 2, (0, 1, 1), 9): (5, 5)
(3, 0, 2, (0, 1, 1), 10): (4, 4)
(3, 0, 2, (0, 1, 1), 11): (4, 4)
(3, 0, 2, (0, 1, 1), 12): (1, 1)
(3, 0, 2, (1, 0, 0), -15): (0, 1)
(3, 0, 2, (1, 0, 0), -12): (0, 2)
(3, 0, 2, (1, 0, 0), -11): (0, 2)
(3, 0, 2, (1, 0, 0), -10): (0, 5)
(3, 0, 2, (1, 0, 0), -9): (0, 17)
(3, 0, 2, (1, 0, 0), -8): (0, 18)
(3, 0, 2, (1, 0, 0), -7): (1, 59)
(3, 0, 2, (1, 0, 0), -6): (5, 110)
(3, 0, 2, (1, 0, 0), -5): (13, 196)
(3, 0, 2, (1, 0, 0), -4): (34, 364)
(3, 0, 2, (1, 0, 0), -3): (112, 736)
(3, 0, 2, (1, 0, 0), -2): (301, 1342)
(3, 0, 2, (1, 0, 0), -1): (790, 2428)
(3, 0, 2, (1, 0, 0), 0): (2227, 5073)
(3, 0, 2, (1, 0, 0), 1): (1805, 3163)
(3, 0, 2, (1, 0, 0), 2): (1300, 1914)
(3, 0, 2, (1, 0, 0), 3): (822, 1086)
(3, 0, 2, (1, 0, 0), 4): (534, 634)
(3, 0, 2, (1, 0, 0), 5): (296, 341)
(3, 0, 2, (1, 0, 0), 6): (165, 181)
(3, 0, 2, (1, 0, 0), 7): (97, 101)
(3, 0, 2, (1, 0, 0), 8): (50, 52)
(3, 0, 2, (1, 0, 0), 9): (26, 27)
(3, 0, 2, (1, 0, 0), 10): (8, 8)
(3, 0, 2, (1, 0, 0), 11): (5, 5)
(3, 0, 2, (1, 0, 0), 14): (1, 1)
(3, 0, 2, (1, 0, 1), -13): (0, 1)
(3, 0, 2, (1, 0, 1), -12): (0, 1)
(3, 0, 2, (1, 0, 1), -10): (0, 1)
(3, 0, 2, (1, 0, 1), -9): (0, 2)
(3, 0, 2, (1, 0, 1), -8): (0, 1)
(3, 0, 2, (1, 0, 1), -7): (1, 13)
(3, 0, 2, (1, 0, 1), -6): (2, 20)
(3, 0, 2, (1, 0, 1), -5): (4, 37)
(3, 0, 2, (1, 0, 1), -4): (14, 85)
(3, 0, 2, (1, 0, 1), -3): (27, 117)
(3, 0, 2, (1, 0, 1), -2): (63, 229)
(3, 0, 2, (1, 0, 1), -1): (148, 423)
(3, 0, 2, (1, 0, 1), 0): (444, 911)
(3, 0, 2, (1, 0, 1), 1): (453, 723)
(3, 0, 2, (1, 0, 1), 2): (386, 539)
(3, 0, 2, (1, 0, 1), 3): (232, 303)
(3, 0, 2, (1, 0, 1), 4): (148, 173)
(3, 0, 2, (1, 0, 1), 5): (109, 119)
(3, 0, 2, (1, 0, 1), 6): (45, 48)
(3, 0, 2, (1, 0, 1), 7): (38, 41)
(3, 0, 2, (1, 0, 1), 8): (18, 18)
(3, 0, 2, (1, 0, 1), 9): (8, 8)
(3, 0, 2, (1, 0, 1), 10): (4, 4)
(3, 0, 2, (1, 0, 1), 11): (1, 1)
(3, 0, 2, (1, 0, 1), 13): (1, 1)
(3, 0, 2, (1, 0, 1), 15): (1, 1)
(3, 0, 2, (1, 1, 0), -15): (0, 1)
(3, 0, 2, (1, 1, 0), -12): (0, 3)
(3, 0, 2, (1, 1, 0), -11): (0, 2)
(3, 0, 2, (1, 1, 0), -10): (0, 5)
(3, 0, 2, (1, 1, 0), -9): (0, 7)
(3, 0, 2, (1, 1, 0), -8): (0, 7)
(3, 0, 2, (1, 1, 0), -7): (1, 26)
(3, 0, 2, (1, 1, 0), -6): (2, 41)
(3, 0, 2, (1, 1, 0), -5): (5, 78)
(3, 0, 2, (1, 1, 0), -4): (9, 139)
(3, 0, 2, (1, 1, 0), -3): (46, 292)
(3, 0, 2, (1, 1, 0), -2): (133, 499)
(3, 0, 2, (1, 1, 0), -1): (344, 932)
(3, 0, 2, (1, 1, 0), 0): (825, 1796)
(3, 0, 2, (1, 1, 0), 1): (821, 1382)
(3, 0, 2, (1, 1, 0), 2): (630, 906)
(3, 0, 2, (1, 1, 0), 3): (454, 579)
(3, 0, 2, (1, 1, 0), 4): (322, 373)
(3, 0, 2, (1, 1, 0), 5): (166, 189)
(3, 0, 2, (1, 1, 0), 6): (108, 116)
(3, 0, 2, (1, 1, 0), 7): (57, 59)
(3, 0, 2, (1, 1, 0), 8): (32, 33)
(3, 0, 2, (1, 1, 0), 9): (13, 14)
(3, 0, 2, (1, 1, 0), 10): (6, 6)
(3, 0, 2, (1, 1, 0), 11): (2, 2)
(3, 0, 2, (1, 1, 0), 12): (2, 3)
(3, 0, 2, (1, 1, 0), 14): (1, 1)
(3, 0, 2, (1, 1, 1), -11): (0, 1)
(3, 0, 2, (1, 1, 1), -10): (0, 1)
(3, 0, 2, (1, 1, 1), -9): (0, 2)
(3, 0, 2, (1, 1, 1), -8): (1, 5)
(3, 0, 2, (1, 1, 1), -7): (0, 8)
(3, 0, 2, (1, 1, 1), -6): (0, 5)
(3, 0, 2, (1, 1, 1), -5): (2, 16)
(3, 0, 2, (1, 1, 1), -4): (5, 41)
(3, 0, 2, (1, 1, 1), -3): (13, 78)
(3, 0, 2, (1, 1, 1), -2): (43, 118)
(3, 0, 2, (1, 1, 1), -1): (112, 274)
(3, 0, 2, (1, 1, 1), 0): (256, 522)
(3, 0, 2, (1, 1, 1), 1): (248, 434)
(3, 0, 2, (1, 1, 1), 2): (263, 362)
(3, 0, 2, (1, 1, 1), 3): (169, 203)
(3, 0, 2, (1, 1, 1), 4): (117, 143)
(3, 0, 2, (1, 1, 1), 5): (55, 68)
(3, 0, 2, (1, 1, 1), 6): (40, 41)
(3, 0, 2, (1, 1, 1), 7): (20, 21)
(3, 0, 2, (1, 1, 1), 8): (12, 12)
(3, 0, 2, (1, 1, 1), 9): (3, 3)
(3, 0, 2, (1, 1, 1), 10): (2, 2)
(3, 0, 2, (1, 1, 1), 11): (2, 2)
(3, 1, 0, (0, 0, 0), -15): (0, 1)
(3, 1, 0, (0, 0, 0), -14): (0, 2)
(3, 1, 0, (0, 0, 0), -13): (0, 2)
(3, 1, 0, (0, 0, 0), -12): (1, 11)
(3, 1, 0, (0, 0, 0), -11): (0, 17)
(3, 1, 0, (0, 0, 0), -10): (1, 36)
(3, 1, 0, (0, 0, 0), -9): (2, 75)
(3, 1, 0, (0, 0, 0), -8): (4, 161)
(3, 1, 0, (0, 0, 0), -7): (12, 298)
(3, 1, 0, (0, 0, 0), -6): (52, 660)
(3, 1, 0, (0, 0, 0), -5): (156, 1137)
(3, 1, 0, (0, 0, 0), -4): (363, 2203)
(3, 1, 0, (0, 0, 0), -3): (929, 3678)
(3, 1, 0, (0, 0, 0), -2): (2042, 6087)
(3, 1, 0, (0, 0, 0), -1): (4508, 9915)
(3, 1, 0, (0, 0, 0), 0): (9980, 17240)
(3, 1, 0, (0, 0, 0), 1): (6058, 8578)
(3, 1, 0, (0, 0, 0), 2): (3737, 4677)
(3, 1, 0, (0, 0, 0), 3): (2276, 2627)
(3, 1, 0, (0, 0, 0), 4): (1259, 1351)
(3, 1, 0, (0, 0, 0), 5): (714, 755)
(3, 1, 0, (0, 0, 0), 6): (369, 383)
(3, 1, 0, (0, 0, 0), 7): (191, 194)
(3, 1, 0, (0, 0, 0), 8): (81, 83)
(3, 1, 0, (0, 0, 0), 9): (44, 44)
(3, 1, 0, (0, 0, 0), 10): (15, 15)
(3, 1, 0, (0, 0, 0), 11): (13, 13)
(3, 1, 0, (0, 0, 0), 12): (3, 3)
(3, 1, 0, (0, 0, 0), 13): (2, 2)
(3, 1, 0, (0, 0, 0), 15): (1, 1)
(3, 1, 0, (0, 0, 0), 16): (1, 1)
(3, 1, 0, (0, 0, 1), -10): (0, 1)
(3, 1, 0, (0, 0, 1), -8): (1, 5)
(3, 1, 0, (0, 0, 1), -7): (0, 8)
(3, 1, 0, (0, 0, 1), -6): (3, 10)
(3, 1, 0, (0, 0, 1), -5): (4, 14)
(3, 1, 0, (0, 0, 1), -4): (7, 25)
(3, 1, 0, (0, 0, 1), -3): (17, 51)
(3, 1, 0, (0, 0, 1), -2): (27, 77)
(3, 1, 0, (0, 0, 1), -1): (74, 145)
(3, 1, 0, (0, 0, 1), 0): (159, 239)
(3, 1, 0, (0, 0, 1), 1): (127, 169)
(3, 1, 0, (0, 0, 1), 2): (110, 121)
(3, 1, 0, (0, 0, 1), 3): (63, 70)
(3, 1, 0, (0, 0, 1), 4): (25, 28)
(3, 1, 0, (0, 0, 1), 5): (11, 12)
(3, 1, 0, (0, 0, 1), 6): (12, 12)
(3, 1, 0, (0, 0, 1), 7): (6, 6)
(3, 1, 0, (0, 0, 1), 8): (2, 2)
(3, 1, 0, (0, 0, 1), 9): (1, 1)
(3, 1, 0, (0, 0, 1), 10): (1, 1)
(3, 1, 0, (0, 0, 1), 11): (1, 1)
(3, 1, 0, (0, 0, 1), 12): (1, 1)
(3, 1, 0, (0, 1, 0), -10): (0, 1)
(3, 1, 0, (0, 1, 0), -9): (0, 8)
(3, 1, 0, (0, 1, 0), -8): (0, 8)
(3, 1, 0, (0, 1, 0), -7): (0, 14)
(3, 1, 0, (0, 1, 0), -6): (3, 42)
(3, 1, 0, (0, 1, 0), -5): (18, 83)
(3, 1, 0, (0, 1, 0), -4): (30, 139)
(3, 1, 0, (0, 1, 0), -3): (68, 221)
(3, 1, 0, (0, 1, 0), -2): (169, 433)
(3, 1, 0, (0, 1, 0), -1): (381, 697)
(3, 1, 0, (0, 1, 0), 0): (758, 1144)
(3, 1, 0, (0, 1, 0), 1): (582, 741)
(3, 1, 0, (0, 1, 0), 2): (403, 469)
(3, 1, 0, (0, 1, 0), 3): (254, 286)
(3, 1, 0, (0, 1, 0), 4): (121, 129)
(3, 1, 0, (0, 1, 0), 5): (86, 87)
(3, 1, 0, (0, 1, 0), 6): (32, 34)
(3, 1, 0, (0, 1, 0), 7): (19, 20)
(3, 1, 0, (0, 1, 0), 8): (8, 8)
(3, 1, 0, (0, 1, 0), 9): (7, 7)
(3, 1, 0, (0, 1, 0), 10): (2, 2)
(3, 1, 0, (0, 1, 0), 11): (2, 2)
(3, 1, 0, (0, 1, 0), 12): (1, 1)
(3, 1, 0, (0, 1, 1), -8): (0, 2)
(3, 1, 0, (0, 1, 1), -7): (0, 1)
(3, 1, 0, (0, 1, 1), -6): (2, 8)
(3, 1, 0, (0, 1, 1), -5): (2, 12)
(3, 1, 0, (0, 1, 1), -4): (8, 29)
(3, 1, 0, (0, 1, 1), -3): (15, 35)
(3, 1, 0, (0, 1, 1), -2): (51, 81)
(3, 1, 0, (0, 1, 1), -1): (75, 106)
(3, 1, 0, (0, 1, 1), 0): (138, 177)
(3, 1, 0, (0, 1, 1), 1): (148, 173)
(3, 1, 0, (0, 1, 1), 2): (112, 122)
(3, 1, 0, (0, 1, 1), 3): (81, 87)
(3, 1, 0, (0, 1, 1), 4): (38, 39)
(3, 1, 0, (0, 1, 1), 5): (20, 20)
(3, 1, 0, (0, 1, 1), 6): (10, 10)
(3, 1, 0, (0, 1, 1), 7): (5, 5)
(3, 1, 0, (0, 1, 1), 8): (1, 1)
(3, 1, 0, (0, 1, 1), 9): (2, 2)
(3, 1, 0, (0, 1, 1), 11): (2, 2)
(3, 1, 0, (1, 0, 0), -14): (0, 1)
(3, 1, 0, (1, 0, 0), -12): (0, 2)
(3, 1, 0, (1, 0, 0), -11): (0, 4)
(3, 1, 0, (1, 0, 0), -10): (1, 8)
(3, 1, 0, (1, 0, 0), -9): (2, 17)
(3, 1, 0, (1, 0, 0), -8): (1, 32)
(3, 1, 0, (1, 0, 0), -7): (7, 93)
(3, 1, 0, (1, 0, 0), -6): (18, 159)
(3, 1, 0, (1, 0, 0), -5): (57, 301)
(3, 1, 0, (1, 0, 0), -4): (129, 554)
(3, 1, 0, (1, 0, 0), -3): (258, 912)
(3, 1, 0, (1, 0, 0), -2): (583, 1534)
(3, 1, 0, (1, 0, 0), -1): (1215, 2424)
(3, 1, 0, (1, 0, 0), 0): (2649, 4241)
(3, 1, 0, (1, 0, 0), 1): (1604, 2180)
(3, 1, 0, (1, 0, 0), 2): (1083, 1307)
(3, 1, 0, (1, 0, 0), 3): (666, 759)
(3, 1, 0, (1, 0, 0), 4): (348, 365)
(3, 1, 0, (1, 0, 0), 5): (187, 199)
(3, 1, 0, (1, 0, 0), 6): (87, 92)
(3, 1, 0, (1, 0, 0), 7): (59, 59)
(3, 1, 0, (1, 0, 0), 8): (22, 22)
(3, 1, 0, (1, 0, 0), 9): (13, 13)
(3, 1, 0, (1, 0, 0), 10): (7, 7)
(3, 1, 0, (1, 0, 0), 11): (3, 3)
(3, 1, 0, (1, 0, 0), 12): (1, 1)
(3, 1, 0, (1, 0, 0), 13): (1, 1)
(3, 1, 0, (1, 0, 1), -8): (1, 1)
(3, 1, 0, (1, 0, 1), -7): (0, 8)
(3, 1, 0, (1, 0, 1), -6): (2, 8)
(3, 1, 0, (1, 0, 1), -5): (7, 20)
(3, 1, 0, (1, 0, 1), -4): (11, 49)
(3, 1, 0, (1, 0, 1), -3): (26, 80)
(3, 1, 0, (1, 0, 1), -2): (65, 132)
(3, 1, 0, (1, 0, 1), -1): (147, 234)
(3, 1, 0, (1, 0, 1), 0): (255, 346)
(3, 1, 0, (1, 0, 1), 1): (226, 277)
(3, 1, 0, (1, 0, 1), 2): (156, 178)
(3, 1, 0, (1, 0, 1), 3): (91, 95)
(3, 1, 0, (1, 0, 1), 4): (48, 50)
(3, 1, 0, (1, 0, 1), 5): (20, 20)
(3, 1, 0, (1, 0, 1), 6): (9, 10)
(3, 1, 0, (1, 0, 1), 7): (5, 5)
(3, 1, 0, (1, 0, 1), 8): (2, 2)
(3, 1, 0, (1, 0, 1), 9): (2, 2)
(3, 1, 0, (1, 0, 1), 10): (1, 1)
(3, 1, 0, (1, 0, 1), 12): (1, 1)
(3, 1, 0, (1, 1, 0), -11): (0, 1)
(3, 1, 0, (1, 1, 0), -9): (0, 6)
(3, 1, 0, (1, 1, 0), -8): (0, 9)
(3, 1, 0, (1, 1, 0), -7): (5, 23)
(3, 1, 0, (1, 1, 0), -6): (4, 35)
(3, 1, 0, (1, 1, 0), -5): (23, 87)
(3, 1, 0, (1, 1, 0), -4): (43, 140)
(3, 1, 0, (1, 1, 0), -3): (73, 220)
(3, 1, 0, (1, 1, 0), -2): (151, 356)
(3, 1, 0, (1, 1, 0), -1): (261, 461)
(3, 1, 0, (1, 1, 0), 0): (556, 802)
(3, 1, 0, (1, 1, 0), 1): (398, 512)
(3, 1, 0, (1, 1, 0), 2): (287, 334)
(3, 1, 0, (1, 1, 0), 3): (204, 228)
(3, 1, 0, (1, 1, 0), 4): (99, 103)
(3, 1, 0, (1, 1, 0), 5): (64, 64)
(3, 1, 0, (1, 1, 0), 6): (29, 30)
(3, 1, 0, (1, 1, 0), 7): (15, 16)
(3, 1, 0, (1, 1, 0), 8): (9, 9)
(3, 1, 0, (1, 1, 0), 9): (5, 5)
(3, 1, 0, (1, 1, 0), 10): (2, 2)
(3, 1, 0, (1, 1, 1), -11): (0, 1)
(3, 1, 0, (1, 1, 1), -10): (0, 1)
(3, 1, 0, (1, 1, 1), -9): (0, 2)
(3, 1, 0, (1, 1, 1), -8): (0, 1)
(3, 1, 0, (1, 1, 1), -7): (1, 2)
(3, 1, 0, (1, 1, 1), -6): (1, 8)
(3, 1, 0, (1, 1, 1), -5): (6, 17)
(3, 1, 0, (1, 1, 1), -4): (18, 32)
(3, 1, 0, (1, 1, 1), -3): (24, 43)
(3, 1, 0, (1, 1, 1), -2): (46, 82)
(3, 1, 0, (1, 1, 1), -1): (74, 120)
(3, 1, 0, (1, 1, 1), 0): (116, 150)
(3, 1, 0, (1, 1, 1), 1): (128, 155)
(3, 1, 0, (1, 1, 1), 2): (93, 104)
(3, 1, 0, (1, 1, 1), 3): (73, 79)
(3, 1, 0, (1, 1, 1), 4): (32, 33)
(3, 1, 0, (1, 1, 1), 5): (22, 22)
(3, 1, 0, (1, 1, 1), 6): (11, 11)
(3, 1, 0, (1, 1, 1), 7): (6, 6)
(3, 1, 0, (1, 1, 1), 8): (2, 2)
(3, 1, 0, (1, 1, 1), 9): (2, 2)
(3, 1, 0, (1, 1, 1), 11): (1, 1)
(3, 1, 1, (0, 0, 0), -15): (0, 1)
(3, 1, 1, (0, 0, 0), -14): (0, 1)
(3, 1, 1, (0, 0, 0), -13): (0, 2)
(3, 1, 1, (0, 0, 0), -12): (1, 9)
(3, 1, 1, (0, 0, 0), -11): (0, 13)
(3, 1, 1, (0, 0, 0), -10): (0, 27)
(3, 1, 1, (0, 0, 0), -9): (0, 52)
(3, 1, 1, (0, 0, 0), -8): (4, 123)
(3, 1, 1, (0, 0, 0), -7): (4, 187)
(3, 1, 1, (0, 0, 0), -6): (30, 456)
(3, 1, 1, (0, 0, 0), -5): (83, 770)
(3, 1, 1, (0, 0, 0), -4): (207, 1533)
(3, 1, 1, (0, 0, 0), -3): (608, 2581)
(3, 1, 1, (0, 0, 0), -2): (1334, 4294)
(3, 1, 1, (0, 0, 0), -1): (3030, 7064)
(3, 1, 1, (0, 0, 0), 0): (6855, 12405)
(3, 1, 1, (0, 0, 0), 1): (4332, 6345)
(3, 1, 1, (0, 0, 0), 2): (2762, 3540)
(3, 1, 1, (0, 0, 0), 3): (1770, 2055)
(3, 1, 1, (0, 0, 0), 4): (1032, 1119)
(3, 1, 1, (0, 0, 0), 5): (617, 653)
(3, 1, 1, (0, 0, 0), 6): (321, 332)
(3, 1, 1, (0, 0, 0), 7): (156, 159)
(3, 1, 1, (0, 0, 0), 8): (82, 84)
(3, 1, 1, (0, 0, 0), 9): (36, 36)
(3, 1, 1, (0, 0, 0), 10): (12, 12)
(3, 1, 1, (0, 0, 0), 11): (12, 12)
(3, 1, 1, (0, 0, 0), 12): (3, 3)
(3, 1, 1, (0, 0, 0), 13): (2, 2)
(3, 1, 1, (0, 0, 0), 16): (1, 1)
(3, 1, 1, (0, 0, 1), -10): (0, 1)
(3, 1, 1, (0, 0, 1), -9): (0, 1)
(3, 1, 1, (0, 0, 1), -8): (0, 7)
(3, 1, 1, (0, 0, 1), -7): (0, 7)
(3, 1, 1, (0, 0, 1), -6): (1, 27)
(3, 1, 1, (0, 0, 1), -5): (10, 41)
(3, 1, 1, (0, 0, 1), -4): (15, 62)
(3, 1, 1, (0, 0, 1), -3): (43, 139)
(3, 1, 1, (0, 0, 1), -2): (110, 268)
(3, 1, 1, (0, 0, 1), -1): (208, 404)
(3, 1, 1, (0, 0, 1), 0): (521, 804)
(3, 1, 1, (0, 0, 1), 1): (416, 564)
(3, 1, 1, (0, 0, 1), 2): (307, 361)
(3, 1, 1, (0, 0, 1), 3): (185, 213)
(3, 1, 1, (0, 0, 1), 4): (89, 95)
(3, 1, 1, (0, 0, 1), 5): (56, 56)
(3, 1, 1, (0, 0, 1), 6): (32, 33)
(3, 1, 1, (0, 0, 1), 7): (11, 11)
(3, 1, 1, (0, 0, 1), 8): (6, 6)
(3, 1, 1, (0, 0, 1), 9): (1, 1)
(3, 1, 1, (0, 0, 1), 10): (4, 4)
(3, 1, 1, (0, 0, 1), 11): (3, 3)
(3, 1, 1, (0, 0, 1), 12): (1, 1)
(3, 1, 1, (0, 1, 0), -12): (0, 1)
(3, 1, 1, (0, 1, 0), -10): (1, 4)
(3, 1, 1, (0, 1, 0), -9): (0, 7)
(3, 1, 1, (0, 1, 0), -8): (0, 7)
(3, 1, 1, (0, 1, 0), -7): (1, 30)
(3, 1, 1, (0, 1, 0), -6): (8, 64)
(3, 1, 1, (0, 1, 0), -5): (15, 110)
(3, 1, 1, (0, 1, 0), -4): (50, 243)
(3, 1, 1, (0, 1, 0), -3): (124, 422)
(3, 1, 1, (0, 1, 0), -2): (268, 755)
(3, 1, 1, (0, 1, 0), -1): (652, 1342)
(3, 1, 1, (0, 1, 0), 0): (1471, 2404)
(3, 1, 1, (0, 1, 0), 1): (1070, 1465)
(3, 1, 1, (0, 1, 0), 2): (730, 922)
(3, 1, 1, (0, 1, 0), 3): (477, 548)
(3, 1, 1, (0, 1, 0), 4): (256, 280)
(3, 1, 1, (0, 1, 0), 5): (159, 169)
(3, 1, 1, (0, 1, 0), 6): (82, 84)
(3, 1, 1, (0, 1, 0), 7): (38, 39)
(3, 1, 1, (0, 1, 0), 8): (21, 22)
(3, 1, 1, (0, 1, 0), 9): (9, 9)
(3, 1, 1, (0, 1, 0), 10): (6, 6)
(3, 1, 1, (0, 1, 0), 11): (5, 5)
(3, 1, 1, (0, 1, 0), 13): (2, 2)
(3, 1, 1, (0, 1, 1), -11): (0, 1)
(3, 1, 1, (0, 1, 1), -10): (0, 1)
(3, 1, 1, (0, 1, 1), -9): (0, 3)
(3, 1, 1, (0, 1, 1), -8): (0, 3)
(3, 1, 1, (0, 1, 1), -7): (1, 10)
(3, 1, 1, (0, 1, 1), -6): (3, 17)
(3, 1, 1, (0, 1, 1), -5): (6, 23)
(3, 1, 1, (0, 1, 1), -4): (15, 66)
(3, 1, 1, (0, 1, 1), -3): (37, 102)
(3, 1, 1, (0, 1, 1), -2): (94, 208)
(3, 1, 1, (0, 1, 1), -1): (167, 297)
(3, 1, 1, (0, 1, 1), 0): (375, 574)
(3, 1, 1, (0, 1, 1), 1): (317, 390)
(3, 1, 1, (0, 1, 1), 2): (240, 276)
(3, 1, 1, (0, 1, 1), 3): (160, 176)
(3, 1, 1, (0, 1, 1), 4): (84, 93)
(3, 1, 1, (0, 1, 1), 5): (52, 53)
(3, 1, 1, (0, 1, 1), 6): (27, 27)
(3, 1, 1, (0, 1, 1), 7): (22, 23)
(3, 1, 1, (0, 1, 1), 8): (7, 7)
(3, 1, 1, (0, 1, 1), 9): (3, 3)
(3, 1, 1, (0, 1, 1), 10): (4, 4)
(3, 1, 1, (0, 1, 1), 11): (3, 3)
(3, 1, 1, (0, 1, 1), 13): (1, 1)
(3, 1, 1, (1, 0, 0), -14): (0, 1)
(3, 1, 1, (1, 0, 0), -13): (0, 1)
(3, 1, 1, (1, 0, 0), -12): (0, 5)
(3, 1, 1, (1, 0, 0), -11): (0, 8)
(3, 1, 1, (1, 0, 0), -10): (1, 12)
(3, 1, 1, (1, 0, 0), -9): (1, 13)
(3, 1, 1, (1, 0, 0), -8): (1, 42)
(3, 1, 1, (1, 0, 0), -7): (3, 89)
(3, 1, 1, (1, 0, 0), -6): (17, 199)
(3, 1, 1, (1, 0, 0), -5): (42, 332)
(3, 1, 1, (1, 0, 0), -4): (96, 595)
(3, 1, 1, (1, 0, 0), -3): (262, 1015)
(3, 1, 1, (1, 0, 0), -2): (575, 1672)
(3, 1, 1, (1, 0, 0), -1): (1232, 2691)
(3, 1, 1, (1, 0, 0), 0): (2752, 4709)
(3, 1, 1, (1, 0, 0), 1): (2009, 2749)
(3, 1, 1, (1, 0, 0), 2): (1293, 1634)
(3, 1, 1, (1, 0, 0), 3): (859, 990)
(3, 1, 1, (1, 0, 0), 4): (494, 531)
(3, 1, 1, (1, 0, 0), 5): (268, 292)
(3, 1, 1, (1, 0, 0), 6): (129, 134)
(3, 1, 1, (1, 0, 0), 7): (74, 74)
(3, 1, 1, (1, 0, 0), 8): (45, 45)
(3, 1, 1, (1, 0, 0), 9): (23, 23)
(3, 1, 1, (1, 0, 0), 10): (7, 7)
(3, 1, 1, (1, 0, 0), 11): (5, 5)
(3, 1, 1, (1, 0, 0), 12): (4, 4)
(3, 1, 1, (1, 0, 0), 13): (2, 2)
(3, 1, 1, (1, 0, 0), 14): (1, 1)
(3, 1, 1, (1, 0, 1), -12): (0, 1)
(3, 1, 1, (1, 0, 1), -9): (1, 2)
(3, 1, 1, (1, 0, 1), -8): (1, 6)
(3, 1, 1, (1, 0, 1), -7): (1, 14)
(3, 1, 1, (1, 0, 1), -6): (4, 30)
(3, 1, 1, (1, 0, 1), -5): (11, 41)
(3, 1, 1, (1, 0, 1), -4): (24, 85)
(3, 1, 1, (1, 0, 1), -3): (43, 165)
(3, 1, 1, (1, 0, 1), -2): (117, 255)
(3, 1, 1, (1, 0, 1), -1): (245, 430)
(3, 1, 1, (1, 0, 1), 0): (514, 755)
(3, 1, 1, (1, 0, 1), 1): (492, 625)
(3, 1, 1, (1, 0, 1), 2): (326, 386)
(3, 1, 1, (1, 0, 1), 3): (211, 237)
(3, 1, 1, (1, 0, 1), 4): (124, 133)
(3, 1, 1, (1, 0, 1), 5): (74, 77)
(3, 1, 1, (1, 0, 1), 6): (28, 29)
(3, 1, 1, (1, 0, 1), 7): (17, 17)
(3, 1, 1, (1, 0, 1), 8): (6, 6)
(3, 1, 1, (1, 0, 1), 9): (5, 5)
(3, 1, 1, (1, 0, 1), 10): (0, 1)
(3, 1, 1, (1, 0, 1), 11): (2, 2)
(3, 1, 1, (1, 1, 0), -13): (0, 1)
(3, 1, 1, (1, 1, 0), -12): (0, 2)
(3, 1, 1, (1, 1, 0), -11): (0, 2)
(3, 1, 1, (1, 1, 0), -10): (0, 3)
(3, 1, 1, (1, 1, 0), -9): (0, 5)
(3, 1, 1, (1, 1, 0), -8): (0, 19)
(3, 1, 1, (1, 1, 0), -7): (3, 28)
(3, 1, 1, (1, 1, 0), -6): (3, 55)
(3, 1, 1, (1, 1, 0), -5): (22, 112)
(3, 1, 1, (1, 1, 0), -4): (44, 209)
(3, 1, 1, (1, 1, 0), -3): (92, 308)
(3, 1, 1, (1, 1, 0), -2): (231, 556)
(3, 1, 1, (1, 1, 0), -1): (445, 841)
(3, 1, 1, (1, 1, 0), 0): (895, 1375)
(3, 1, 1, (1, 1, 0), 1): (757, 998)
(3, 1, 1, (1, 1, 0), 2): (571, 680)
(3, 1, 1, (1, 1, 0), 3): (386, 430)
(3, 1, 1, (1, 1, 0), 4): (226, 240)
(3, 1, 1, (1, 1, 0), 5): (127, 134)
(3, 1, 1, (1, 1, 0), 6): (72, 74)
(3, 1, 1, (1, 1, 0), 7): (20, 21)
(3, 1, 1, (1, 1, 0), 8): (17, 17)
(3, 1, 1, (1, 1, 0), 9): (12, 12)
(3, 1, 1, (1, 1, 0), 10): (5, 5)
(3, 1, 1, (1, 1, 0), 11): (3, 3)
(3, 1, 1, (1, 1, 0), 12): (2, 2)
(3, 1, 1, (1, 1, 0), 13): (1, 1)
(3, 1, 1, (1, 1, 0), 14): (1, 1)
(3, 1, 1, (1, 1, 1), -10): (0, 2)
(3, 1, 1, (1, 1, 1), -9): (0, 4)
(3, 1, 1, (1, 1, 1), -8): (0, 3)
(3, 1, 1, (1, 1, 1), -7): (0, 6)
(3, 1, 1, (1, 1, 1), -6): (1, 14)
(3, 1, 1, (1, 1, 1), -5): (5, 29)
(3, 1, 1, (1, 1, 1), -4): (22, 66)
(3, 1, 1, (1, 1, 1), -3): (30, 80)
(3, 1, 1, (1, 1, 1), -2): (75, 150)
(3, 1, 1, (1, 1, 1), -1): (160, 257)
(3, 1, 1, (1, 1, 1), 0): (313, 438)
(3, 1, 1, (1, 1, 1), 1): (318, 392)
(3, 1, 1, (1, 1, 1), 2): (257, 300)
(3, 1, 1, (1, 1, 1), 3): (177, 196)
(3, 1, 1, (1, 1, 1), 4): (97, 100)
(3, 1, 1, (1, 1, 1), 5): (57, 60)
(3, 1, 1, (1, 1, 1), 6): (26, 26)
(3, 1, 1, (1, 1, 1), 7): (15, 16)
(3, 1, 1, (1, 1, 1), 8): (6, 7)
(3, 1, 1, (1, 1, 1), 9): (3, 3)
(3, 1, 1, (1, 1, 1), 10): (1, 1)
(3, 1, 1, (1, 1, 1), 12): (1, 1)
(3, 1, 1, (1, 1, 1), 13): (1, 1)
(3, 1, 2, (0, 0, 0), -15): (0, 1)
(3, 1, 2, (0, 0, 0), -14): (0, 1)
(3, 1, 2, (0, 0, 0), -13): (0, 1)
(3, 1, 2, (0, 0, 0), -12): (1, 5)
(3, 1, 2, (0, 0, 0), -11): (0, 8)
(3, 1, 2, (0, 0, 0), -10): (0, 21)
(3, 1, 2, (0, 0, 0), -9): (0, 45)
(3, 1, 2, (0, 0, 0), -8): (3, 93)
(3, 1, 2, (0, 0, 0), -7): (1, 151)
(3, 1, 2, (0, 0, 0), -6): (16, 325)
(3, 1, 2, (0, 0, 0), -5): (62, 582)
(3, 1, 2, (0, 0, 0), -4): (150, 1182)
(3, 1, 2, (0, 0, 0), -3): (436, 1964)
(3, 1, 2, (0, 0, 0), -2): (979, 3341)
(3, 1, 2, (0, 0, 0), -1): (2251, 5484)
(3, 1, 2, (0, 0, 0), 0): (5086, 9490)
(3, 1, 2, (0, 0, 0), 1): (3398, 5130)
(3, 1, 2, (0, 0, 0), 2): (2346, 3031)
(3, 1, 2, (0, 0, 0), 3): (1637, 1921)
(3, 1, 2, (0, 0, 0), 4): (1022, 1116)
(3, 1, 2, (0, 0, 0), 5): (616, 657)
(3, 1, 2, (0, 0, 0), 6): (306, 318)
(3, 1, 2, (0, 0, 0), 7): (163, 169)
(3, 1, 2, (0, 0, 0), 8): (71, 72)
(3, 1, 2, (0, 0, 0), 9): (44, 44)
(3, 1, 2, (0, 0, 0), 10): (20, 20)
(3, 1, 2, (0, 0, 0), 11): (10, 10)
(3, 1, 2, (0, 0, 0), 12): (3, 3)
(3, 1, 2, (0, 0, 0), 13): (2, 2)
(3, 1, 2, (0, 0, 0), 14): (1, 1)
(3, 1, 2, (0, 0, 0), 15): (1, 1)
(3, 1, 2, (0, 0, 0), 16): (1, 1)
(3, 1, 2, (0, 0, 1), -10): (0, 1)
(3, 1, 2, (0, 0, 1), -9): (0, 3)
(3, 1, 2, (0, 0, 1), -8): (0, 9)
(3, 1, 2, (0, 0, 1), -7): (0, 15)
(3, 1, 2, (0, 0, 1), -6): (2, 27)
(3, 1, 2, (0, 0, 1), -5): (6, 49)
(3, 1, 2, (0, 0, 1), -4): (15, 105)
(3, 1, 2, (0, 0, 1), -3): (47, 183)
(3, 1, 2, (0, 0, 1), -2): (113, 341)
(3, 1, 2, (0, 0, 1), -1): (255, 606)
(3, 1, 2, (0, 0, 1), 0): (632, 1112)
(3, 1, 2, (0, 0, 1), 1): (501, 777)
(3, 1, 2, (0, 0, 1), 2): (421, 540)
(3, 1, 2, (0, 0, 1), 3): (283, 326)
(3, 1, 2, (0, 0, 1), 4): (160, 177)
(3, 1, 2, (0, 0, 1), 5): (123, 131)
(3, 1, 2, (0, 0, 1), 6): (66, 69)
(3, 1, 2, (0, 0, 1), 7): (31, 33)
(3, 1, 2, (0, 0, 1), 8): (10, 11)
(3, 1, 2, (0, 0, 1), 9): (5, 5)
(3, 1, 2, (0, 0, 1), 10): (7, 7)
(3, 1, 2, (0, 0, 1), 11): (4, 4)
(3, 1, 2, (0, 0, 1), 12): (1, 1)
(3, 1, 2, (0, 1, 0), -12): (0, 1)
(3, 1, 2, (0, 1, 0), -11): (0, 1)
(3, 1, 2, (0, 1, 0), -10): (0, 4)
(3, 1, 2, (0, 1, 0), -9): (0, 9)
(3, 1, 2, (0, 1, 0), -8): (0, 16)
(3, 1, 2, (0, 1, 0), -7): (1, 37)
(3, 1, 2, (0, 1, 0), -6): (13, 80)
(3, 1, 2, (0, 1, 0), -5): (20, 154)
(3, 1, 2, (0, 1, 0), -4): (40, 278)
(3, 1, 2, (0, 1, 0), -3): (125, 497)
(3, 1, 2, (0, 1, 0), -2): (251, 876)
(3, 1, 2, (0, 1, 0), -1): (678, 1582)
(3, 1, 2, (0, 1, 0), 0): (1546, 2732)
(3, 1, 2, (0, 1, 0), 1): (1323, 1921)
(3, 1, 2, (0, 1, 0), 2): (914, 1184)
(3, 1, 2, (0, 1, 0), 3): (624, 744)
(3, 1, 2, (0, 1, 0), 4): (430, 471)
(3, 1, 2, (0, 1, 0), 5): (255, 279)
(3, 1, 2, (0, 1, 0), 6): (149, 151)
(3, 1, 2, (0, 1, 0), 7): (68, 72)
(3, 1, 2, (0, 1, 0), 8): (41, 41)
(3, 1, 2, (0, 1, 0), 9): (17, 17)
(3, 1, 2, (0, 1, 0), 10): (5, 5)
(3, 1, 2, (0, 1, 0), 11): (8, 8)
(3, 1, 2, (0, 1, 0), 12): (3, 3)
(3, 1, 2, (0, 1, 0), 13): (2, 2)
(3, 1, 2, (0, 1, 0), 14): (1, 1)
(3, 1, 2, (0, 1, 1), -13): (0, 1)
(3, 1, 2, (0, 1, 1), -12): (0, 1)
(3, 1, 2, (0, 1, 1), -10): (0, 2)
(3, 1, 2, (0, 1, 1), -8): (0, 3)
(3, 1, 2, (0, 1, 1), -7): (0, 6)
(3, 1, 2, (0, 1, 1), -6): (2, 13)
(3, 1, 2, (0, 1, 1), -5): (5, 25)
(3, 1, 2, (0, 1, 1), -4): (6, 53)
(3, 1, 2, (0, 1, 1), -3): (19, 98)
(3, 1, 2, (0, 1, 1), -2): (77, 175)
(3, 1, 2, (0, 1, 1), -1): (119, 284)
(3, 1, 2, (0, 1, 1), 0): (259, 442)
(3, 1, 2, (0, 1, 1), 1): (288, 387)
(3, 1, 2, (0, 1, 1), 2): (230, 281)
(3, 1, 2, (0, 1, 1), 3): (166, 184)
(3, 1, 2, (0, 1, 1), 4): (114, 122)
(3, 1, 2, (0, 1, 1), 5): (77, 81)
(3, 1, 2, (0, 1, 1), 6): (37, 41)
(3, 1, 2, (0, 1, 1), 7): (34, 35)
(3, 1, 2, (0, 1, 1), 8): (11, 11)
(3, 1, 2, (0, 1, 1), 9): (9, 9)
(3, 1, 2, (0, 1, 1), 10): (5, 5)
(3, 1, 2, (0, 1, 1), 11): (1, 1)
(3, 1, 2, (1, 0, 0), -12): (1, 4)
(3, 1, 2, (1, 0, 0), -11): (0, 6)
(3, 1, 2, (1, 0, 0), -10): (0, 9)
(3, 1, 2, (1, 0, 0), -9): (0, 21)
(3, 1, 2, (1, 0, 0), -8): (1, 34)
(3, 1, 2, (1, 0, 0), -7): (1, 84)
(3, 1, 2, (1, 0, 0), -6): (10, 179)
(3, 1, 2, (1, 0, 0), -5): (31, 330)
(3, 1, 2, (1, 0, 0), -4): (89, 600)
(3, 1, 2, (1, 0, 0), -3): (237, 992)
(3, 1, 2, (1, 0, 0), -2): (475, 1570)
(3, 1, 2, (1, 0, 0), -1): (1079, 2558)
(3, 1, 2, (1, 0, 0), 0): (2398, 4441)
(3, 1, 2, (1, 0, 0), 1): (1980, 2943)
(3, 1, 2, (1, 0, 0), 2): (1438, 1843)
(3, 1, 2, (1, 0, 0), 3): (1010, 1188)
(3, 1, 2, (1, 0, 0), 4): (653, 703)
(3, 1, 2, (1, 0, 0), 5): (362, 387)
(3, 1, 2, (1, 0, 0), 6): (185, 194)
(3, 1, 2, (1, 0, 0), 7): (120, 122)
(3, 1, 2, (1, 0, 0), 8): (59, 60)
(3, 1, 2, (1, 0, 0), 9): (31, 32)
(3, 1, 2, (1, 0, 0), 10): (12, 12)
(3, 1, 2, (1, 0, 0), 11): (6, 6)
(3, 1, 2, (1, 0, 0), 12): (5, 5)
(3, 1, 2, (1, 0, 0), 13): (1, 1)
(3, 1, 2, (1, 0, 0), 14): (1, 1)
(3, 1, 2, (1, 0, 0), 16): (1, 1)
(3, 1, 2, (1, 0, 1), -12): (0, 1)
(3, 1, 2, (1, 0, 1), -10): (0, 1)
(3, 1, 2, (1, 0, 1), -9): (0, 1)
(3, 1, 2, (1, 0, 1), -8): (0, 13)
(3, 1, 2, (1, 0, 1), -7): (0, 15)
(3, 1, 2, (1, 0, 1), -6): (0, 31)
(3, 1, 2, (1, 0, 1), -5): (5, 48)
(3, 1, 2, (1, 0, 1), -4): (17, 93)
(3, 1, 2, (1, 0, 1), -3): (41, 167)
(3, 1, 2, (1, 0, 1), -2): (106, 334)
(3, 1, 2, (1, 0, 1), -1): (213, 483)
(3, 1, 2, (1, 0, 1), 0): (511, 857)
(3, 1, 2, (1, 0, 1), 1): (484, 703)
(3, 1, 2, (1, 0, 1), 2): (402, 487)
(3, 1, 2, (1, 0, 1), 3): (291, 330)
(3, 1, 2, (1, 0, 1), 4): (210, 225)
(3, 1, 2, (1, 0, 1), 5): (126, 129)
(3, 1, 2, (1, 0, 1), 6): (54, 54)
(3, 1, 2, (1, 0, 1), 7): (30, 32)
(3, 1, 2, (1, 0, 1), 8): (13, 13)
(3, 1, 2, (1, 0, 1), 9): (11, 11)
(3, 1, 2, (1, 0, 1), 10): (2, 3)
(3, 1, 2, (1, 0, 1), 11): (1, 1)
(3, 1, 2, (1, 0, 1), 12): (3, 3)
(3, 1, 2, (1, 1, 0), -12): (0, 2)
(3, 1, 2, (1, 1, 0), -11): (0, 1)
(3, 1, 2, (1, 1, 0), -10): (0, 4)
(3, 1, 2, (1, 1, 0), -9): (0, 3)
(3, 1, 2, (1, 1, 0), -8): (1, 19)
(3, 1, 2, (1, 1, 0), -7): (1, 34)
(3, 1, 2, (1, 1, 0), -6): (5, 61)
(3, 1, 2, (1, 1, 0), -5): (13, 108)
(3, 1, 2, (1, 1, 0), -4): (42, 229)
(3, 1, 2, (1, 1, 0), -3): (86, 362)
(3, 1, 2, (1, 1, 0), -2): (193, 594)
(3, 1, 2, (1, 1, 0), -1): (452, 994)
(3, 1, 2, (1, 1, 0), 0): (980, 1686)
(3, 1, 2, (1, 1, 0), 1): (956, 1368)
(3, 1, 2, (1, 1, 0), 2): (751, 945)
(3, 1, 2, (1, 1, 0), 3): (555, 636)
(3, 1, 2, (1, 1, 0), 4): (358, 393)
(3, 1, 2, (1, 1, 0), 5): (206, 222)
(3, 1, 2, (1, 1, 0), 6): (101, 101)
(3, 1, 2, (1, 1, 0), 7): (73, 75)
(3, 1, 2, (1, 1, 0), 8): (41, 41)
(3, 1, 2, (1, 1, 0), 9): (21, 21)
(3, 1, 2, (1, 1, 0), 10): (10, 10)
(3, 1, 2, (1, 1, 0), 11): (4, 5)
(3, 1, 2, (1, 1, 0), 12): (1, 1)
(3, 1, 2, (1, 1, 0), 13): (1, 1)
(3, 1, 2, (1, 1, 0), 14): (2, 2)
(3, 1, 2, (1, 1, 1), -12): (0, 2)
(3, 1, 2, (1, 1, 1), -10): (0, 2)
(3, 1, 2, (1, 1, 1), -8): (0, 5)
(3, 1, 2, (1, 1, 1), -7): (1, 11)
(3, 1, 2, (1, 1, 1), -6): (3, 22)
(3, 1, 2, (1, 1, 1), -5): (5, 24)
(3, 1, 2, (1, 1, 1), -4): (14, 64)
(3, 1, 2, (1, 1, 1), -3): (31, 104)
(3, 1, 2, (1, 1, 1), -2): (67, 182)
(3, 1, 2, (1, 1, 1), -1): (153, 310)
(3, 1, 2, (1, 1, 1), 0): (305, 516)
(3, 1, 2, (1, 1, 1), 1): (346, 464)
(3, 1, 2, (1, 1, 1), 2): (268, 319)
(3, 1, 2, (1, 1, 1), 3): (215, 243)
(3, 1, 2, (1, 1, 1), 4): (133, 140)
(3, 1, 2, (1, 1, 1), 5): (89, 96)
(3, 1, 2, (1, 1, 1), 6): (46, 49)
(3, 1, 2, (1, 1, 1), 7): (41, 41)
(3, 1, 2, (1, 1, 1), 8): (13, 13)
(3, 1, 2, (1, 1, 1), 9): (11, 11)
(3, 1, 2, (1, 1, 1), 10): (6, 6)
(3, 1, 2, (1, 1, 1), 11): (2, 2)
(3, 1, 2, (1, 1, 1), 12): (2, 2)
(3, 1, 2, (1, 1, 1), 13): (2, 2)
(4, 0, 0, (0, 0, 0), -16): (0, 1)
(4, 0, 0, (0, 0, 0), -15): (0, 1)
(4, 0, 0, (0, 0, 0), -14): (0, 3)
(4, 0, 0, (0, 0, 0), -13): (0, 8)
(4, 0, 0, (0, 0, 0), -12): (0, 12)
(4, 0, 0, (0, 0, 0), -11): (1, 30)
(4, 0, 0, (0, 0, 0), -10): (0, 43)
(4, 0, 0, (0, 0, 0), -9): (1, 111)
(4, 0, 0, (0, 0, 0), -8): (2, 176)
(4, 0, 0, (0, 0, 0), -7): (12, 373)
(4, 0, 0, (0, 0, 0), -6): (26, 683)
(4, 0, 0, (0, 0, 0), -5): (93, 1385)
(4, 0, 0, (0, 0, 0), -4): (202, 2329)
(4, 0, 0, (0, 0, 0), -3): (616, 3888)
(4, 0, 0, (0, 0, 0), -2): (1398, 5976)
(4, 0, 0, (0, 0, 0), -1): (3236, 9332)
(4, 0, 0, (0, 0, 0), 0): (7048, 14761)
(4, 0, 0, (0, 0, 0), 1): (5408, 8894)
(4, 0, 0, (0, 0, 0), 2): (3999, 5524)
(4, 0, 0, (0, 0, 0), 3): (2673, 3370)
(4, 0, 0, (0, 0, 0), 4): (1715, 1949)
(4, 0, 0, (0, 0, 0), 5): (890, 984)
(4, 0, 0, (0, 0, 0), 6): (534, 563)
(4, 0, 0, (0, 0, 0), 7): (268, 271)
(4, 0, 0, (0, 0, 0), 8): (142, 146)
(4, 0, 0, (0, 0, 0), 9): (70, 70)
(4, 0, 0, (0, 0, 0), 10): (41, 41)
(4, 0, 0, (0, 0, 0), 11): (19, 19)
(4, 0, 0, (0, 0, 0), 12): (9, 10)
(4, 0, 0, (0, 0, 0), 13): (3, 3)
(4, 0, 0, (0, 0, 0), 14): (2, 2)
(4, 0, 0, (0, 0, 0), 15): (1, 1)
(4, 0, 0, (0, 0, 1), -9): (0, 2)
(4, 0, 0, (0, 0, 1), -7): (0, 3)
(4, 0, 0, (0, 0, 1), -6): (0, 9)
(4, 0, 0, (0, 0, 1), -5): (2, 7)
(4, 0, 0, (0, 0, 1), -4): (0, 24)
(4, 0, 0, (0, 0, 1), -3): (7, 38)
(4, 0, 0, (0, 0, 1), -2): (30, 66)
(4, 0, 0, (0, 0, 1), -1): (50, 124)
(4, 0, 0, (0, 0, 1), 0): (96, 172)
(4, 0, 0, (0, 0, 1), 1): (96, 135)
(4, 0, 0, (0, 0, 1), 2): (63, 80)
(4, 0, 0, (0, 0, 1), 3): (45, 50)
(4, 0, 0, (0, 0, 1), 4): (33, 37)
(4, 0, 0, (0, 0, 1), 5): (13, 14)
(4, 0, 0, (0, 0, 1), 6): (10, 10)
(4, 0, 0, (0, 0, 1), 7): (7, 7)
(4, 0, 0, (0, 0, 1), 8): (4, 4)
(4, 0, 0, (0, 0, 1), 9): (1, 1)
(4, 0, 0, (0, 0, 1), 12): (1, 1)
(4, 0, 0, (0, 1, 0), -13): (0, 2)
(4, 0, 0, (0, 1, 0), -12): (0, 1)
(4, 0, 0, (0, 1, 0), -11): (0, 2)
(4, 0, 0, (0, 1, 0), -10): (0, 2)
(4, 0, 0, (0, 1, 0), -9): (0, 8)
(4, 0, 0, (0, 1, 0), -8): (0, 16)
(4, 0, 0, (0, 1, 0), -7): (0, 21)
(4, 0, 0, (0, 1, 0), -6): (1, 50)
(4, 0, 0, (0, 1, 0), -5): (14, 104)
(4, 0, 0, (0, 1, 0), -4): (19, 141)
(4, 0, 0, (0, 1, 0), -3): (60, 261)
(4, 0, 0, (0, 1, 0), -2): (124, 406)
(4, 0, 0, (0, 1, 0), -1): (310, 697)
(4, 0, 0, (0, 1, 0), 0): (639, 1100)
(4, 0, 0, (0, 1, 0), 1): (495, 740)
(4, 0, 0, (0, 1, 0), 2): (354, 471)
(4, 0, 0, (0, 1, 0), 3): (215, 266)
(4, 0, 0, (0, 1, 0), 4): (143, 160)
(4, 0, 0, (0, 1, 0), 5): (77, 82)
(4, 0, 0, (0, 1, 0), 6): (51, 53)
(4, 0, 0, (0, 1, 0), 7): (22, 22)
(4, 0, 0, (0, 1, 0), 8): (17, 17)
(4, 0, 0, (0, 1, 0), 9): (9, 9)
(4, 0, 0, (0, 1, 0), 10): (3, 3)
(4, 0, 0, (0, 1, 0), 11): (2, 2)
(4, 0, 0, (0, 1, 0), 12): (1, 1)
(4, 0, 0, (0, 1, 1), -10): (0, 1)
(4, 0, 0, (0, 1, 1), -9): (0, 2)
(4, 0, 0, (0, 1, 1), -8): (0, 2)
(4, 0, 0, (0, 1, 1), -7): (0, 2)
(4, 0, 0, (0, 1, 1), -6): (0, 4)
(4, 0, 0, (0, 1, 1), -5): (3, 20)
(4, 0, 0, (0, 1, 1), -4): (6, 30)
(4, 0, 0, (0, 1, 1), -3): (9, 48)
(4, 0, 0, (0, 1, 1), -2): (18, 73)
(4, 0, 0, (0, 1, 1), -1): (63, 125)
(4, 0, 0, (0, 1, 1), 0): (130, 186)
(4, 0, 0, (0, 1, 1), 1): (118, 163)
(4, 0, 0, (0, 1, 1), 2): (77, 94)
(4, 0, 0, (0, 1, 1), 3): (53, 58)
(4, 0, 0, (0, 1, 1), 4): (36, 36)
(4, 0, 0, (0, 1, 1), 5): (15, 17)
(4, 0, 0, (0, 1, 1), 6): (19, 19)
(4, 0, 0, (0, 1, 1), 7): (8, 8)
(4, 0, 0, (0, 1, 1), 8): (1, 1)
(4, 0, 0, (0, 1, 1), 9): (2, 2)
(4, 0, 0, (0, 1, 1), 10): (3, 3)
(4, 0, 0, (0, 1, 1), 12): (1, 1)
(4, 0, 0, (1, 0, 0), -14): (0, 1)
(4, 0, 0, (1, 0, 0), -13): (0, 2)
(4, 0, 0, (1, 0, 0), -12): (0, 5)
(4, 0, 0, (1, 0, 0), -11): (1, 6)
(4, 0, 0, (1, 0, 0), -10): (0, 11)
(4, 0, 0, (1, 0, 0), -9): (0, 17)
(4, 0, 0, (1, 0, 0), -8): (0, 43)
(4, 0, 0, (1, 0, 0), -7): (2, 102)
(4, 0, 0, (1, 0, 0), -6): (10, 155)
(4, 0, 0, (1, 0, 0), -5): (31, 347)
(4, 0, 0, (1, 0, 0), -4): (65, 600)
(4, 0, 0, (1, 0, 0), -3): (177, 935)
(4, 0, 0, (1, 0, 0), -2): (421, 1516)
(4, 0, 0, (1, 0, 0), -1): (943, 2393)
(4, 0, 0, (1, 0, 0), 0): (2026, 3835)
(4, 0, 0, (1, 0, 0), 1): (1483, 2283)
(4, 0, 0, (1, 0, 0), 2): (1099, 1455)
(4, 0, 0, (1, 0, 0), 3): (701, 873)
(4, 0, 0, (1, 0, 0), 4): (454, 499)
(4, 0, 0, (1, 0, 0), 5): (222, 251)
(4, 0, 0, (1, 0, 0), 6): (160, 169)
(4, 0, 0, (1, 0, 0), 7): (66, 67)
(4, 0, 0, (1, 0, 0), 8): (55, 56)
(4, 0, 0, (1, 0, 0), 9): (17, 17)
(4, 0, 0, (1, 0, 0), 10): (11, 11)
(4, 0, 0, (1, 0, 0), 11): (4, 4)
(4, 0, 0, (1, 0, 0), 12): (3, 3)
(4, 0, 0, (1, 0, 0), 13): (1, 1)
(4, 0, 0, (1, 0, 0), 14): (1, 1)
(4, 0, 0, (1, 0, 1), -11): (0, 1)
(4, 0, 0, (1, 0, 1), -9): (0, 1)
(4, 0, 0, (1, 0, 1), -8): (0, 3)
(4, 0, 0, (1, 0, 1), -7): (0, 4)
(4, 0, 0, (1, 0, 1), -6): (0, 17)
(4, 0, 0, (1, 0, 1), -5): (6, 30)
(4, 0, 0, (1, 0, 1), -4): (4, 48)
(4, 0, 0, (1, 0, 1), -3): (19, 74)
(4, 0, 0, (1, 0, 1), -2): (59, 137)
(4, 0, 0, (1, 0, 1), -1): (107, 210)
(4, 0, 0, (1, 0, 1), 0): (228, 355)
(4, 0, 0, (1, 0, 1), 1): (195, 272)
(4, 0, 0, (1, 0, 1), 2): (123, 159)
(4, 0, 0, (1, 0, 1), 3): (101, 117)
(4, 0, 0, (1, 0, 1), 4): (41, 45)
(4, 0, 0, (1, 0, 1), 5): (30, 32)
(4, 0, 0, (1, 0, 1), 6): (18, 18)
(4, 0, 0, (1, 0, 1), 7): (13, 13)
(4, 0, 0, (1, 0, 1), 8): (8, 8)
(4, 0, 0, (1, 0, 1), 9): (6, 6)
(4, 0, 0, (1, 0, 1), 11): (1, 1)
(4, 0, 0, (1, 1, 0), -13): (0, 2)
(4, 0, 0, (1, 1, 0), -12): (0, 1)
(4, 0, 0, (1, 1, 0), -11): (0, 3)
(4, 0, 0, (1, 1, 0), -10): (0, 8)
(4, 0, 0, (1, 1, 0), -9): (0, 4)
(4, 0, 0, (1, 1, 0), -8): (0, 9)
(4, 0, 0, (1, 1, 0), -7): (0, 26)
(4, 0, 0, (1, 1, 0), -6): (3, 37)
(4, 0, 0, (1, 1, 0), -5): (7, 74)
(4, 0, 0, (1, 1, 0), -4): (17, 156)
(4, 0, 0, (1, 1, 0), -3): (52, 209)
(4, 0, 0, (1, 1, 0), -2): (115, 339)
(4, 0, 0, (1, 1, 0), -1): (231, 505)
(4, 0, 0, (1, 1, 0), 0): (472, 792)
(4, 0, 0, (1, 1, 0), 1): (412, 570)
(4, 0, 0, (1, 1, 0), 2): (280, 346)
(4, 0, 0, (1, 1, 0), 3): (177, 212)
(4, 0, 0, (1, 1, 0), 4): (116, 127)
(4, 0, 0, (1, 1, 0), 5): (72, 76)
(4, 0, 0, (1, 1, 0), 6): (41, 41)
(4, 0, 0, (1, 1, 0), 7): (15, 16)
(4, 0, 0, (1, 1, 0), 8): (18, 18)
(4, 0, 0, (1, 1, 0), 9): (6, 6)
(4, 0, 0, (1, 1, 0), 10): (4, 4)
(4, 0, 0, (1, 1, 0), 11): (2, 2)
(4, 0, 0, (1, 1, 0), 12): (1, 1)
(4, 0, 0, (1, 1, 1), -12): (0, 1)
(4, 0, 0, (1, 1, 1), -11): (0, 2)
(4, 0, 0, (1, 1, 1), -10): (0, 1)
(4, 0, 0, (1, 1, 1), -9): (0, 1)
(4, 0, 0, (1, 1, 1), -8): (0, 2)
(4, 0, 0, (1, 1, 1), -7): (0, 6)
(4, 0, 0, (1, 1, 1), -6): (0, 7)
(4, 0, 0, (1, 1, 1), -5): (3, 13)
(4, 0, 0, (1, 1, 1), -4): (7, 29)
(4, 0, 0, (1, 1, 1), -3): (20, 56)
(4, 0, 0, (1, 1, 1), -2): (36, 79)
(4, 0, 0, (1, 1, 1), -1): (54, 94)
(4, 0, 0, (1, 1, 1), 0): (122, 174)
(4, 0, 0, (1, 1, 1), 1): (113, 138)
(4, 0, 0, (1, 1, 1), 2): (78, 93)
(4, 0, 0, (1, 1, 1), 3): (66, 68)
(4, 0, 0, (1, 1, 1), 4): (33, 35)
(4, 0, 0, (1, 1, 1), 5): (27, 27)
(4, 0, 0, (1, 1, 1), 6): (12, 12)
(4, 0, 0, (1, 1, 1), 7): (9, 9)
(4, 0, 0, (1, 1, 1), 8): (7, 7)
(4, 0, 0, (1, 1, 1), 9): (2, 2)
(4, 0, 0, (1, 1, 1), 10): (2, 2)
(4, 0, 0, (1, 1, 1), 11): (1, 1)
(4, 0, 1, (0, 0, 0), -16): (0, 1)
(4, 0, 1, (0, 0, 0), -15): (0, 1)
(4, 0, 1, (0, 0, 0), -14): (0, 1)
(4, 0, 1, (0, 0, 0), -13): (0, 5)
(4, 0, 1, (0, 0, 0), -12): (0, 6)
(4, 0, 1, (0, 0, 0), -11): (0, 22)
(4, 0, 1, (0, 0, 0), -10): (0, 29)
(4, 0, 1, (0, 0, 0), -9): (1, 84)
(4, 0, 1, (0, 0, 0), -8): (2, 123)
(4, 0, 1, (0, 0, 0), -7): (10, 251)
(4, 0, 1, (0, 0, 0), -6): (13, 476)
(4, 0, 1, (0, 0, 0), -5): (47, 937)
(4, 0, 1, (0, 0, 0), -4): (118, 1578)
(4, 0, 1, (0, 0, 0), -3): (375, 2724)
(4, 0, 1, (0, 0, 0), -2): (848, 4143)
(4, 0, 1, (0, 0, 0), -1): (2031, 6460)
(4, 0, 1, (0, 0, 0), 0): (4597, 10315)
(4, 0, 1, (0, 0, 0), 1): (3801, 6493)
(4, 0, 1, (0, 0, 0), 2): (2948, 4180)
(4, 0, 1, (0, 0, 0), 3): (2040, 2599)
(4, 0, 1, (0, 0, 0), 4): (1333, 1532)
(4, 0, 1, (0, 0, 0), 5): (700, 778)
(4, 0, 1, (0, 0, 0), 6): (404, 428)
(4, 0, 1, (0, 0, 0), 7): (232, 234)
(4, 0, 1, (0, 0, 0), 8): (102, 105)
(4, 0, 1, (0, 0, 0), 9): (56, 56)
(4, 0, 1, (0, 0, 0), 10): (37, 37)
(4, 0, 1, (0, 0, 0), 11): (18, 18)
(4, 0, 1, (0, 0, 0), 12): (9, 10)
(4, 0, 1, (0, 0, 0), 13): (3, 3)
(4, 0, 1, (0, 0, 0), 14): (1, 1)
(4, 0, 1, (0, 0, 0), 15): (2, 2)
(4, 0, 1, (0, 0, 1), -13): (0, 1)
(4, 0, 1, (0, 0, 1), -11): (0, 1)
(4, 0, 1, (0, 0, 1), -9): (0, 3)
(4, 0, 1, (0, 0, 1), -8): (0, 3)
(4, 0, 1, (0, 0, 1), -7): (0, 12)
(4, 0, 1, (0, 0, 1), -6): (1, 17)
(4, 0, 1, (0, 0, 1), -5): (2, 29)
(4, 0, 1, (0, 0, 1), -4): (5, 64)
(4, 0, 1, (0, 0, 1), -3): (29, 134)
(4, 0, 1, (0, 0, 1), -2): (50, 205)
(4, 0, 1, (0, 0, 1), -1): (130, 336)
(4, 0, 1, (0, 0, 1), 0): (319, 592)
(4, 0, 1, (0, 0, 1), 1): (293, 436)
(4, 0, 1, (0, 0, 1), 2): (276, 356)
(4, 0, 1, (0, 0, 1), 3): (186, 233)
(4, 0, 1, (0, 0, 1), 4): (116, 132)
(4, 0, 1, (0, 0, 1), 5): (53, 58)
(4, 0, 1, (0, 0, 1), 6): (33, 36)
(4, 0, 1, (0, 0, 1), 7): (20, 20)
(4, 0, 1, (0, 0, 1), 8): (10, 10)
(4, 0, 1, (0, 0, 1), 9): (2, 2)
(4, 0, 1, (0, 0, 1), 10): (2, 2)
(4, 0, 1, (0, 0, 1), 11): (2, 2)
(4, 0, 1, (0, 0, 1), 12): (1, 1)
(4, 0, 1, (0, 1, 0), -13): (0, 1)
(4, 0, 1, (0, 1, 0), -12): (0, 2)
(4, 0, 1, (0, 1, 0), -11): (0, 3)
(4, 0, 1, (0, 1, 0), -10): (0, 6)
(4, 0, 1, (0, 1, 0), -9): (0, 6)
(4, 0, 1, (0, 1, 0), -8): (0, 20)
(4, 0, 1, (0, 1, 0), -7): (1, 33)
(4, 0, 1, (0, 1, 0), -6): (2, 69)
(4, 0, 1, (0, 1, 0), -5): (12, 133)
(4, 0, 1, (0, 1, 0), -4): (16, 197)
(4, 0, 1, (0, 1, 0), -3): (61, 403)
(4, 0, 1, (0, 1, 0), -2): (148, 622)
(4, 0, 1, (0, 1, 0), -1): (384, 1023)
(4, 0, 1, (0, 1, 0), 0): (894, 1749)
(4, 0, 1, (0, 1, 0), 1): (766, 1221)
(4, 0, 1, (0, 1, 0), 2): (664, 906)
(4, 0, 1, (0, 1, 0), 3): (469, 572)
(4, 0, 1, (0, 1, 0), 4): (293, 332)
(4, 0, 1, (0, 1, 0), 5): (184, 207)
(4, 0, 1, (0, 1, 0), 6): (100, 105)
(4, 0, 1, (0, 1, 0), 7): (45, 46)
(4, 0, 1, (0, 1, 0), 8): (31, 32)
(4, 0, 1, (0, 1, 0), 9): (9, 10)
(4, 0, 1, (0, 1, 0), 10): (10, 10)
(4, 0, 1, (0, 1, 0), 11): (4, 4)
(4, 0, 1, (0, 1, 0), 12): (3, 3)
(4, 0, 1, (0, 1, 1), -11): (0, 2)
(4, 0, 1, (0, 1, 1), -10): (0, 4)
(4, 0, 1, (0, 1, 1), -9): (0, 1)
(4, 0, 1, (0, 1, 1), -8): (0, 4)
(4, 0, 1, (0, 1, 1), -7): (0, 10)
(4, 0, 1, (0, 1, 1), -6): (0, 8)
(4, 0, 1, (0, 1, 1), -5): (2, 18)
(4, 0, 1, (0, 1, 1), -4): (7, 67)
(4, 0, 1, (0, 1, 1), -3): (19, 97)
(4, 0, 1, (0, 1, 1), -2): (45, 164)
(4, 0, 1, (0, 1, 1), -1): (140, 283)
(4, 0, 1, (0, 1, 1), 0): (233, 409)
(4, 0, 1, (0, 1, 1), 1): (263, 383)
(4, 0, 1, (0, 1, 1), 2): (208, 260)
(4, 0, 1, (0, 1, 1), 3): (158, 193)
(4, 0, 1, (0, 1, 1), 4): (105, 118)
(4, 0, 1, (0, 1, 1), 5): (54, 59)
(4, 0, 1, (0, 1, 1), 6): (25, 27)
(4, 0, 1, (0, 1, 1), 7): (16, 16)
(4, 0, 1, (0, 1, 1), 8): (14, 14)
(4, 0, 1, (0, 1, 1), 9): (6, 6)
(4, 0, 1, (0, 1, 1), 10): (2, 2)
(4, 0, 1, (0, 1, 1), 12): (1, 1)
(4, 0, 1, (1, 0, 0), -13): (0, 2)
(4, 0, 1, (1, 0, 0), -12): (0, 5)
(4, 0, 1, (1, 0, 0), -11): (1, 11)
(4, 0, 1, (1, 0, 0), -10): (0, 7)
(4, 0, 1, (1, 0, 0), -9): (0, 28)
(4, 0, 1, (1, 0, 0), -8): (0, 51)
(4, 0, 1, (1, 0, 0), -7): (6, 134)
(4, 0, 1, (1, 0, 0), -6): (7, 188)
(4, 0, 1, (1, 0, 0), -5): (25, 400)
(4, 0, 1, (1, 0, 0), -4): (64, 688)
(4, 0, 1, (1, 0, 0), -3): (174, 1095)
(4, 0, 1, (1, 0, 0), -2): (409, 1721)
(4, 0, 1, (1, 0, 0), -1): (947, 2669)
(4, 0, 1, (1, 0, 0), 0): (1993, 4169)
(4, 0, 1, (1, 0, 0), 1): (1647, 2719)
(4, 0, 1, (1, 0, 0), 2): (1288, 1744)
(4, 0, 1, (1, 0, 0), 3): (836, 1058)
(4, 0, 1, (1, 0, 0), 4): (569, 658)
(4, 0, 1, (1, 0, 0), 5): (295, 333)
(4, 0, 1, (1, 0, 0), 6): (212, 222)
(4, 0, 1, (1, 0, 0), 7): (107, 108)
(4, 0, 1, (1, 0, 0), 8): (54, 57)
(4, 0, 1, (1, 0, 0), 9): (36, 36)
(4, 0, 1, (1, 0, 0), 10): (17, 17)
(4, 0, 1, (1, 0, 0), 11): (6, 6)
(4, 0, 1, (1, 0, 0), 12): (4, 4)
(4, 0, 1, (1, 0, 0), 13): (1, 1)
(4, 0, 1, (1, 0, 0), 15): (2, 2)
(4, 0, 1, (1, 0, 1), -9): (0, 2)
(4, 0, 1, (1, 0, 1), -8): (0, 4)
(4, 0, 1, (1, 0, 1), -7): (2, 19)
(4, 0, 1, (1, 0, 1), -6): (0, 22)
(4, 0, 1, (1, 0, 1), -5): (7, 46)
(4, 0, 1, (1, 0, 1), -4): (14, 84)
(4, 0, 1, (1, 0, 1), -3): (30, 142)
(4, 0, 1, (1, 0, 1), -2): (74, 257)
(4, 0, 1, (1, 0, 1), -1): (179, 408)
(4, 0, 1, (1, 0, 1), 0): (369, 633)
(4, 0, 1, (1, 0, 1), 1): (335, 486)
(4, 0, 1, (1, 0, 1), 2): (293, 391)
(4, 0, 1, (1, 0, 1), 3): (162, 201)
(4, 0, 1, (1, 0, 1), 4): (135, 149)
(4, 0, 1, (1, 0, 1), 5): (60, 68)
(4, 0, 1, (1, 0, 1), 6): (60, 62)
(4, 0, 1, (1, 0, 1), 7): (37, 37)
(4, 0, 1, (1, 0, 1), 8): (10, 12)
(4, 0, 1, (1, 0, 1), 9): (7, 7)
(4, 0, 1, (1, 0, 1), 10): (4, 4)
(4, 0, 1, (1, 0, 1), 11): (3, 3)
(4, 0, 1, (1, 0, 1), 12): (1, 1)
(4, 0, 1, (1, 1, 0), -13): (0, 3)
(4, 0, 1, (1, 1, 0), -12): (0, 3)
(4, 0, 1, (1, 1, 0), -11): (0, 6)
(4, 0, 1, (1, 1, 0), -10): (0, 11)
(4, 0, 1, (1, 1, 0), -9): (0, 5)
(4, 0, 1, (1, 1, 0), -8): (0, 22)
(4, 0, 1, (1, 1, 0), -7): (0, 35)
(4, 0, 1, (1, 1, 0), -6): (5, 68)
(4, 0, 1, (1, 1, 0), -5): (14, 133)
(4, 0, 1, (1, 1, 0), -4): (15, 225)
(4, 0, 1, (1, 1, 0), -3): (74, 357)
(4, 0, 1, (1, 1, 0), -2): (163, 554)
(4, 0, 1, (1, 1, 0), -1): (322, 810)
(4, 0, 1, (1, 1, 0), 0): (614, 1209)
(4, 0, 1, (1, 1, 0), 1): (587, 936)
(4, 0, 1, (1, 1, 0), 2): (507, 656)
(4, 0, 1, (1, 1, 0), 3): (304, 379)
(4, 0, 1, (1, 1, 0), 4): (205, 227)
(4, 0, 1, (1, 1, 0), 5): (133, 145)
(4, 0, 1, (1, 1, 0), 6): (96, 100)
(4, 0, 1, (1, 1, 0), 7): (35, 40)
(4, 0, 1, (1, 1, 0), 8): (36, 36)
(4, 0, 1, (1, 1, 0), 9): (15, 15)
(4, 0, 1, (1, 1, 0), 10): (8, 8)
(4, 0, 1, (1, 1, 0), 11): (1, 1)
(4, 0, 1, (1, 1, 0), 12): (6, 6)
(4, 0, 1, (1, 1, 0), 13): (1, 1)
(4, 0, 1, (1, 1, 0), 15): (1, 1)
(4, 0, 1, (1, 1, 0), 16): (1, 1)
(4, 0, 1, (1, 1, 1), -11): (0, 2)
(4, 0, 1, (1, 1, 1), -10): (0, 5)
(4, 0, 1, (1, 1, 1), -8): (0, 3)
(4, 0, 1, (1, 1, 1), -7): (1, 13)
(4, 0, 1, (1, 1, 1), -6): (1, 20)
(4, 0, 1, (1, 1, 1), -5): (5, 29)
(4, 0, 1, (1, 1, 1), -4): (6, 56)
(4, 0, 1, (1, 1, 1), -3): (23, 92)
(4, 0, 1, (1, 1, 1), -2): (40, 132)
(4, 0, 1, (1, 1, 1), -1): (123, 253)
(4, 0, 1, (1, 1, 1), 0): (206, 359)
(4, 0, 1, (1, 1, 1), 1): (260, 358)
(4, 0, 1, (1, 1, 1), 2): (201, 248)
(4, 0, 1, (1, 1, 1), 3): (162, 192)
(4, 0, 1, (1, 1, 1), 4): (81, 93)
(4, 0, 1, (1, 1, 1), 5): (72, 74)
(4, 0, 1, (1, 1, 1), 6): (40, 40)
(4, 0, 1, (1, 1, 1), 7): (26, 27)
(4, 0, 1, (1, 1, 1), 8): (12, 12)
(4, 0, 1, (1, 1, 1), 9): (8, 8)
(4, 0, 1, (1, 1, 1), 10): (2, 2)
(4, 0, 2, (0, 0, 0), -16): (0, 1)
(4, 0, 2, (0, 0, 0), -15): (0, 1)
(4, 0, 2, (0, 0, 0), -14): (0, 1)
(4, 0, 2, (0, 0, 0), -13): (0, 3)
(4, 0, 2, (0, 0, 0), -12): (0, 5)
(4, 0, 2, (0, 0, 0), -11): (0, 13)
(4, 0, 2, (0, 0, 0), -10): (0, 23)
(4, 0, 2, (0, 0, 0), -9): (1, 62)
(4, 0, 2, (0, 0, 0), -8): (2, 92)
(4, 0, 2, (0, 0, 0), -7): (5, 164)
(4, 0, 2, (0, 0, 0), -6): (10, 360)
(4, 0, 2, (0, 0, 0), -5): (30, 708)
(4, 0, 2, (0, 0, 0), -4): (83, 1190)
(4, 0, 2, (0, 0, 0), -3): (254, 2022)
(4, 0, 2, (0, 0, 0), -2): (590, 3116)
(4, 0, 2, (0, 0, 0), -1): (1407, 4954)
(4, 0, 2, (0, 0, 0), 0): (3270, 7809)
(4, 0, 2, (0, 0, 0), 1): (3008, 5274)
(4, 0, 2, (0, 0, 0), 2): (2443, 3569)
(4, 0, 2, (0, 0, 0), 3): (1748, 2252)
(4, 0, 2, (0, 0, 0), 4): (1165, 1349)
(4, 0, 2, (0, 0, 0), 5): (625, 693)
(4, 0, 2, (0, 0, 0), 6): (350, 375)
(4, 0, 2, (0, 0, 0), 7): (236, 241)
(4, 0, 2, (0, 0, 0), 8): (115, 116)
(4, 0, 2, (0, 0, 0), 9): (68, 69)
(4, 0, 2, (0, 0, 0), 10): (40, 40)
(4, 0, 2, (0, 0, 0), 11): (18, 18)
(4, 0, 2, (0, 0, 0), 12): (9, 10)
(4, 0, 2, (0, 0, 0), 13): (7, 7)
(4, 0, 2, (0, 0, 0), 14): (3, 3)
(4, 0, 2, (0, 0, 1), -12): (0, 1)
(4, 0, 2, (0, 0, 1), -11): (0, 1)
(4, 0, 2, (0, 0, 1), -10): (0, 4)
(4, 0, 2, (0, 0, 1), -9): (0, 3)
(4, 0, 2, (0, 0, 1), -8): (0, 5)
(4, 0, 2, (0, 0, 1), -7): (1, 12)
(4, 0, 2, (0, 0, 1), -6): (1, 31)
(4, 0, 2, (0, 0, 1), -5): (4, 51)
(4, 0, 2, (0, 0, 1), -4): (6, 109)
(4, 0, 2, (0, 0, 1), -3): (26, 173)
(4, 0, 2, (0, 0, 1), -2): (59, 272)
(4, 0, 2, (0, 0, 1), -1): (158, 483)
(4, 0, 2, (0, 0, 1), 0): (384, 813)
(4, 0, 2, (0, 0, 1), 1): (394, 667)
(4, 0, 2, (0, 0, 1), 2): (348, 500)
(4, 0, 2, (0, 0, 1), 3): (273, 350)
(4, 0, 2, (0, 0, 1), 4): (203, 236)
(4, 0, 2, (0, 0, 1), 5): (110, 124)
(4, 0, 2, (0, 0, 1), 6): (71, 75)
(4, 0, 2, (0, 0, 1), 7): (35, 36)
(4, 0, 2, (0, 0, 1), 8): (18, 18)
(4, 0, 2, (0, 0, 1), 9): (11, 11)
(4, 0, 2, (0, 0, 1), 10): (3, 3)
(4, 0, 2, (0, 0, 1), 11): (3, 3)
(4, 0, 2, (0, 0, 1), 12): (2, 2)
(4, 0, 2, (0, 1, 0), -13): (0, 1)
(4, 0, 2, (0, 1, 0), -12): (0, 3)
(4, 0, 2, (0, 1, 0), -11): (0, 6)
(4, 0, 2, (0, 1, 0), -10): (0, 7)
(4, 0, 2, (0, 1, 0), -9): (0, 11)
(4, 0, 2, (0, 1, 0), -8): (0, 18)
(4, 0, 2, (0, 1, 0), -7): (0, 42)
(4, 0, 2, (0, 1, 0), -6): (1, 83)
(4, 0, 2, (0, 1, 0), -5): (12, 165)
(4, 0, 2, (0, 1, 0), -4): (19, 249)
(4, 0, 2, (0, 1, 0), -3): (58, 459)
(4, 0, 2, (0, 1, 0), -2): (151, 739)
(4, 0, 2, (0, 1, 0), -1): (370, 1190)
(4, 0, 2, (0, 1, 0), 0): (978, 2074)
(4, 0, 2, (0, 1, 0), 1): (931, 1638)
(4, 0, 2, (0, 1, 0), 2): (911, 1261)
(4, 0, 2, (0, 1, 0), 3): (688, 858)
(4, 0, 2, (0, 1, 0), 4): (498, 568)
(4, 0, 2, (0, 1, 0), 5): (309, 334)
(4, 0, 2, (0, 1, 0), 6): (160, 172)
(4, 0, 2, (0, 1, 0), 7): (65, 67)
(4, 0, 2, (0, 1, 0), 8): (49, 50)
(4, 0, 2, (0, 1, 0), 9): (33, 34)
(4, 0, 2, (0, 1, 0), 10): (9, 9)
(4, 0, 2, (0, 1, 0), 11): (5, 5)
(4, 0, 2, (0, 1, 0), 12): (4, 4)
(4, 0, 2, (0, 1, 0), 13): (2, 2)
(4, 0, 2, (0, 1, 0), 14): (2, 2)
(4, 0, 2, (0, 1, 1), -11): (0, 2)
(4, 0, 2, (0, 1, 1), -10): (0, 4)
(4, 0, 2, (0, 1, 1), -9): (0, 3)
(4, 0, 2, (0, 1, 1), -8): (0, 12)
(4, 0, 2, (0, 1, 1), -7): (0, 5)
(4, 0, 2, (0, 1, 1), -6): (0, 21)
(4, 0, 2, (0, 1, 1), -5): (4, 22)
(4, 0, 2, (0, 1, 1), -4): (7, 73)
(4, 0, 2, (0, 1, 1), -3): (13, 107)
(4, 0, 2, (0, 1, 1), -2): (40, 171)
(4, 0, 2, (0, 1, 1), -1): (112, 269)
(4, 0, 2, (0, 1, 1), 0): (223, 420)
(4, 0, 2, (0, 1, 1), 1): (237, 373)
(4, 0, 2, (0, 1, 1), 2): (238, 300)
(4, 0, 2, (0, 1, 1), 3): (206, 255)
(4, 0, 2, (0, 1, 1), 4): (127, 150)
(4, 0, 2, (0, 1, 1), 5): (76, 86)
(4, 0, 2, (0, 1, 1), 6): (41, 47)
(4, 0, 2, (0, 1, 1), 7): (23, 23)
(4, 0, 2, (0, 1, 1), 8): (17, 17)
(4, 0, 2, (0, 1, 1), 9): (8, 8)
(4, 0, 2, (0, 1, 1), 10): (5, 5)
(4, 0, 2, (0, 1, 1), 11): (2, 2)
(4, 0, 2, (0, 1, 1), 12): (2, 2)
(4, 0, 2, (0, 1, 1), 13): (1, 1)
(4, 0, 2, (1, 0, 0), -13): (0, 1)
(4, 0, 2, (1, 0, 0), -12): (0, 3)
(4, 0, 2, (1, 0, 0), -11): (1, 4)
(4, 0, 2, (1, 0, 0), -10): (0, 10)
(4, 0, 2, (1, 0, 0), -9): (0, 31)
(4, 0, 2, (1, 0, 0), -8): (1, 53)
(4, 0, 2, (1, 0, 0), -7): (3, 93)
(4, 0, 2, (1, 0, 0), -6): (6, 185)
(4, 0, 2, (1, 0, 0), -5): (11, 355)
(4, 0, 2, (1, 0, 0), -4): (46, 619)
(4, 0, 2, (1, 0, 0), -3): (119, 1006)
(4, 0, 2, (1, 0, 0), -2): (295, 1511)
(4, 0, 2, (1, 0, 0), -1): (747, 2441)
(4, 0, 2, (1, 0, 0), 0): (1707, 3768)
(4, 0, 2, (1, 0, 0), 1): (1591, 2708)
(4, 0, 2, (1, 0, 0), 2): (1292, 1824)
(4, 0, 2, (1, 0, 0), 3): (1008, 1267)
(4, 0, 2, (1, 0, 0), 4): (693, 787)
(4, 0, 2, (1, 0, 0), 5): (384, 430)
(4, 0, 2, (1, 0, 0), 6): (264, 285)
(4, 0, 2, (1, 0, 0), 7): (154, 157)
(4, 0, 2, (1, 0, 0), 8): (75, 77)
(4, 0, 2, (1, 0, 0), 9): (46, 48)
(4, 0, 2, (1, 0, 0), 10): (24, 24)
(4, 0, 2, (1, 0, 0), 11): (11, 11)
(4, 0, 2, (1, 0, 0), 12): (6, 6)
(4, 0, 2, (1, 0, 0), 13): (2, 2)
(4, 0, 2, (1, 0, 0), 14): (1, 1)
(4, 0, 2, (1, 0, 0), 15): (2, 2)
(4, 0, 2, (1, 0, 1), -12): (0, 1)
(4, 0, 2, (1, 0, 1), -11): (0, 2)
(4, 0, 2, (1, 0, 1), -10): (0, 1)
(4, 0, 2, (1, 0, 1), -9): (0, 4)
(4, 0, 2, (1, 0, 1), -8): (0, 4)
(4, 0, 2, (1, 0, 1), -7): (0, 15)
(4, 0, 2, (1, 0, 1), -6): (1, 24)
(4, 0, 2, (1, 0, 1), -5): (6, 62)
(4, 0, 2, (1, 0, 1), -4): (12, 116)
(4, 0, 2, (1, 0, 1), -3): (28, 172)
(4, 0, 2, (1, 0, 1), -2): (88, 305)
(4, 0, 2, (1, 0, 1), -1): (150, 434)
(4, 0, 2, (1, 0, 1), 0): (342, 711)
(4, 0, 2, (1, 0, 1), 1): (370, 595)
(4, 0, 2, (1, 0, 1), 2): (361, 494)
(4, 0, 2, (1, 0, 1), 3): (283, 347)
(4, 0, 2, (1, 0, 1), 4): (205, 235)
(4, 0, 2, (1, 0, 1), 5): (113, 127)
(4, 0, 2, (1, 0, 1), 6): (81, 89)
(4, 0, 2, (1, 0, 1), 7): (42, 42)
(4, 0, 2, (1, 0, 1), 8): (25, 26)
(4, 0, 2, (1, 0, 1), 9): (13, 14)
(4, 0, 2, (1, 0, 1), 10): (11, 11)
(4, 0, 2, (1, 0, 1), 11): (1, 1)
(4, 0, 2, (1, 0, 1), 12): (1, 1)
(4, 0, 2, (1, 0, 1), 13): (1, 1)
(4, 0, 2, (1, 0, 1), 15): (1, 1)
(4, 0, 2, (1, 1, 0), -13): (0, 4)
(4, 0, 2, (1, 1, 0), -12): (0, 3)
(4, 0, 2, (1, 1, 0), -11): (1, 2)
(4, 0, 2, (1, 1, 0), -10): (1, 2)
(4, 0, 2, (1, 1, 0), -9): (0, 11)
(4, 0, 2, (1, 1, 0), -8): (0, 14)
(4, 0, 2, (1, 1, 0), -7): (2, 41)
(4, 0, 2, (1, 1, 0), -6): (4, 65)
(4, 0, 2, (1, 1, 0), -5): (6, 133)
(4, 0, 2, (1, 1, 0), -4): (15, 244)
(4, 0, 2, (1, 1, 0), -3): (63, 414)
(4, 0, 2, (1, 1, 0), -2): (140, 601)
(4, 0, 2, (1, 1, 0), -1): (319, 933)
(4, 0, 2, (1, 1, 0), 0): (699, 1488)
(4, 0, 2, (1, 1, 0), 1): (723, 1209)
(4, 0, 2, (1, 1, 0), 2): (712, 960)
(4, 0, 2, (1, 1, 0), 3): (482, 609)
(4, 0, 2, (1, 1, 0), 4): (357, 395)
(4, 0, 2, (1, 1, 0), 5): (223, 241)
(4, 0, 2, (1, 1, 0), 6): (136, 144)
(4, 0, 2, (1, 1, 0), 7): (81, 82)
(4, 0, 2, (1, 1, 0), 8): (43, 43)
(4, 0, 2, (1, 1, 0), 9): (21, 21)
(4, 0, 2, (1, 1, 0), 10): (10, 10)
(4, 0, 2, (1, 1, 0), 11): (4, 4)
(4, 0, 2, (1, 1, 0), 12): (6, 6)
(4, 0, 2, (1, 1, 0), 15): (1, 1)
(4, 0, 2, (1, 1, 0), 16): (2, 2)
(4, 0, 2, (1, 1, 1), -13): (0, 1)
(4, 0, 2, (1, 1, 1), -10): (0, 2)
(4, 0, 2, (1, 1, 1), -8): (0, 2)
(4, 0, 2, (1, 1, 1), -7): (1, 7)
(4, 0, 2, (1, 1, 1), -6): (0, 19)
(4, 0, 2, (1, 1, 1), -5): (4, 37)
(4, 0, 2, (1, 1, 1), -4): (5, 61)
(4, 0, 2, (1, 1, 1), -3): (24, 122)
(4, 0, 2, (1, 1, 1), -2): (47, 166)
(4, 0, 2, (1, 1, 1), -1): (106, 278)
(4, 0, 2, (1, 1, 1), 0): (220, 432)
(4, 0, 2, (1, 1, 1), 1): (250, 388)
(4, 0, 2, (1, 1, 1), 2): (239, 305)
(4, 0, 2, (1, 1, 1), 3): (190, 229)
(4, 0, 2, (1, 1, 1), 4): (131, 155)
(4, 0, 2, (1, 1, 1), 5): (76, 83)
(4, 0, 2, (1, 1, 1), 6): (52, 54)
(4, 0, 2, (1, 1, 1), 7): (27, 28)
(4, 0, 2, (1, 1, 1), 8): (19, 19)
(4, 0, 2, (1, 1, 1), 9): (11, 11)
(4, 0, 2, (1, 1, 1), 10): (6, 6)
(4, 0, 2, (1, 1, 1), 11): (2, 2)
(4, 0, 2, (1, 1, 1), 16): (1, 1)
(4, 0, 2, (1, 1, 1), 17): (1, 1)
(4, 1, 0, (0, 0, 0), -17): (0, 1)
(4, 1, 0, (0, 0, 0), -16): (0, 2)
(4, 1, 0, (0, 0, 0), -15): (0, 1)
(4, 1, 0, (0, 0, 0), -14): (0, 5)
(4, 1, 0, (0, 0, 0), -13): (0, 9)
(4, 1, 0, (0, 0, 0), -12): (1, 26)
(4, 1, 0, (0, 0, 0), -11): (0, 36)
(4, 1, 0, (0, 0, 0), -10): (1, 87)
(4, 1, 0, (0, 0, 0), -9): (4, 167)
(4, 1, 0, (0, 0, 0), -8): (4, 241)
(4, 1, 0, (0, 0, 0), -7): (13, 490)
(4, 1, 0, (0, 0, 0), -6): (62, 875)
(4, 1, 0, (0, 0, 0), -5): (154, 1478)
(4, 1, 0, (0, 0, 0), -4): (392, 2656)
(4, 1, 0, (0, 0, 0), -3): (1000, 4351)
(4, 1, 0, (0, 0, 0), -2): (2068, 6599)
(4, 1, 0, (0, 0, 0), -1): (4162, 9371)
(4, 1, 0, (0, 0, 0), 0): (7464, 12770)
(4, 1, 0, (0, 0, 0), 1): (6061, 8395)
(4, 1, 0, (0, 0, 0), 2): (4427, 5387)
(4, 1, 0, (0, 0, 0), 3): (3097, 3487)
(4, 1, 0, (0, 0, 0), 4): (1947, 2090)
(4, 1, 0, (0, 0, 0), 5): (1136, 1178)
(4, 1, 0, (0, 0, 0), 6): (617, 636)
(4, 1, 0, (0, 0, 0), 7): (308, 314)
(4, 1, 0, (0, 0, 0), 8): (154, 156)
(4, 1, 0, (0, 0, 0), 9): (112, 113)
(4, 1, 0, (0, 0, 0), 10): (46, 47)
(4, 1, 0, (0, 0, 0), 11): (26, 27)
(4, 1, 0, (0, 0, 0), 12): (12, 12)
(4, 1, 0, (0, 0, 0), 13): (8, 8)
(4, 1, 0, (0, 0, 0), 14): (2, 2)
(4, 1, 0, (0, 0, 0), 15): (1, 1)
(4, 1, 0, (0, 0, 0), 16): (1, 1)
(4, 1, 0, (0, 0, 1), -12): (0, 1)
(4, 1, 0, (0, 0, 1), -9): (0, 1)
(4, 1, 0, (0, 0, 1), -8): (0, 3)
(4, 1, 0, (0, 0, 1), -7): (0, 3)
(4, 1, 0, (0, 0, 1), -6): (1, 7)
(4, 1, 0, (0, 0, 1), -5): (2, 15)
(4, 1, 0, (0, 0, 1), -4): (10, 30)
(4, 1, 0, (0, 0, 1), -3): (13, 45)
(4, 1, 0, (0, 0, 1), -2): (29, 64)
(4, 1, 0, (0, 0, 1), -1): (82, 138)
(4, 1, 0, (0, 0, 1), 0): (142, 198)
(4, 1, 0, (0, 0, 1), 1): (117, 148)
(4, 1, 0, (0, 0, 1), 2): (77, 86)
(4, 1, 0, (0, 0, 1), 3): (61, 68)
(4, 1, 0, (0, 0, 1), 4): (40, 41)
(4, 1, 0, (0, 0, 1), 5): (32, 32)
(4, 1, 0, (0, 0, 1), 6): (15, 15)
(4, 1, 0, (0, 0, 1), 7): (9, 9)
(4, 1, 0, (0, 0, 1), 8): (3, 3)
(4, 1, 0, (0, 0, 1), 9): (4, 4)
(4, 1, 0, (0, 0, 1), 10): (1, 1)
(4, 1, 0, (0, 1, 0), -12): (0, 3)
(4, 1, 0, (0, 1, 0), -11): (0, 3)
(4, 1, 0, (0, 1, 0), -10): (0, 4)
(4, 1, 0, (0, 1, 0), -9): (0, 13)
(4, 1, 0, (0, 1, 0), -8): (1, 21)
(4, 1, 0, (0, 1, 0), -7): (2, 35)
(4, 1, 0, (0, 1, 0), -6): (5, 60)
(4, 1, 0, (0, 1, 0), -5): (16, 102)
(4, 1, 0, (0, 1, 0), -4): (44, 174)
(4, 1, 0, (0, 1, 0), -3): (85, 260)
(4, 1, 0, (0, 1, 0), -2): (184, 462)
(4, 1, 0, (0, 1, 0), -1): (388, 728)
(4, 1, 0, (0, 1, 0), 0): (651, 1002)
(4, 1, 0, (0, 1, 0), 1): (556, 713)
(4, 1, 0, (0, 1, 0), 2): (399, 470)
(4, 1, 0, (0, 1, 0), 3): (263, 297)
(4, 1, 0, (0, 1, 0), 4): (176, 188)
(4, 1, 0, (0, 1, 0), 5): (138, 141)
(4, 1, 0, (0, 1, 0), 6): (65, 67)
(4, 1, 0, (0, 1, 0), 7): (25, 26)
(4, 1, 0, (0, 1, 0), 8): (11, 11)
(4, 1, 0, (0, 1, 0), 9): (7, 7)
(4, 1, 0, (0, 1, 0), 10): (4, 4)
(4, 1, 0, (0, 1, 0), 11): (2, 2)
(4, 1, 0, (0, 1, 0), 12): (1, 1)
(4, 1, 0, (0, 1, 0), 15): (1, 1)
(4, 1, 0, (0, 1, 1), -11): (0, 1)
(4, 1, 0, (0, 1, 1), -8): (0, 4)
(4, 1, 0, (0, 1, 1), -7): (0, 4)
(4, 1, 0, (0, 1, 1), -6): (2, 15)
(4, 1, 0, (0, 1, 1), -5): (5, 20)
(4, 1, 0, (0, 1, 1), -4): (14, 51)
(4, 1, 0, (0, 1, 1), -3): (30, 66)
(4, 1, 0, (0, 1, 1), -2): (53, 93)
(4, 1, 0, (0, 1, 1), -1): (76, 133)
(4, 1, 0, (0, 1, 1), 0): (130, 170)
(4, 1, 0, (0, 1, 1), 1): (121, 146)
(4, 1, 0, (0, 1, 1), 2): (87, 90)
(4, 1, 0, (0, 1, 1), 3): (46, 49)
(4, 1, 0, (0, 1, 1), 4): (39, 42)
(4, 1, 0, (0, 1, 1), 5): (23, 24)
(4, 1, 0, (0, 1, 1), 6): (23, 23)
(4, 1, 0, (0, 1, 1), 7): (5, 5)
(4, 1, 0, (0, 1, 1), 8): (7, 7)
(4, 1, 0, (0, 1, 1), 9): (5, 5)
(4, 1, 0, (0, 1, 1), 10): (2, 2)
(4, 1, 0, (0, 1, 1), 12): (1, 1)
(4, 1, 0, (1, 0, 0), -14): (0, 1)
(4, 1, 0, (1, 0, 0), -13): (0, 2)
(4, 1, 0, (1, 0, 0), -12): (1, 6)
(4, 1, 0, (1, 0, 0), -11): (0, 8)
(4, 1, 0, (1, 0, 0), -10): (0, 17)
(4, 1, 0, (1, 0, 0), -9): (3, 39)
(4, 1, 0, (1, 0, 0), -8): (1, 52)
(4, 1, 0, (1, 0, 0), -7): (2, 121)
(4, 1, 0, (1, 0, 0), -6): (18, 185)
(4, 1, 0, (1, 0, 0), -5): (49, 408)
(4, 1, 0, (1, 0, 0), -4): (135, 690)
(4, 1, 0, (1, 0, 0), -3): (307, 1083)
(4, 1, 0, (1, 0, 0), -2): (610, 1682)
(4, 1, 0, (1, 0, 0), -1): (1226, 2425)
(4, 1, 0, (1, 0, 0), 0): (2078, 3316)
(4, 1, 0, (1, 0, 0), 1): (1693, 2210)
(4, 1, 0, (1, 0, 0), 2): (1137, 1366)
(4, 1, 0, (1, 0, 0), 3): (809, 893)
(4, 1, 0, (1, 0, 0), 4): (543, 573)
(4, 1, 0, (1, 0, 0), 5): (332, 338)
(4, 1, 0, (1, 0, 0), 6): (177, 182)
(4, 1, 0, (1, 0, 0), 7): (103, 104)
(4, 1, 0, (1, 0, 0), 8): (51, 51)
(4, 1, 0, (1, 0, 0), 9): (34, 34)
(4, 1, 0, (1, 0, 0), 10): (13, 13)
(4, 1, 0, (1, 0, 0), 11): (11, 11)
(4, 1, 0, (1, 0, 0), 12): (1, 1)
(4, 1, 0, (1, 0, 0), 13): (2, 2)
(4, 1, 0, (1, 0, 0), 14): (1, 1)
(4, 1, 0, (1, 0, 1), -11): (0, 1)
(4, 1, 0, (1, 0, 1), -10): (0, 1)
(4, 1, 0, (1, 0, 1), -9): (1, 2)
(4, 1, 0, (1, 0, 1), -7): (0, 7)
(4, 1, 0, (1, 0, 1), -6): (1, 16)
(4, 1, 0, (1, 0, 1), -5): (6, 26)
(4, 1, 0, (1, 0, 1), -4): (13, 48)
(4, 1, 0, (1, 0, 1), -3): (39, 105)
(4, 1, 0, (1, 0, 1), -2): (73, 151)
(4, 1, 0, (1, 0, 1), -1): (144, 252)
(4, 1, 0, (1, 0, 1), 0): (254, 370)
(4, 1, 0, (1, 0, 1), 1): (208, 256)
(4, 1, 0, (1, 0, 1), 2): (145, 167)
(4, 1, 0, (1, 0, 1), 3): (109, 117)
(4, 1, 0, (1, 0, 1), 4): (60, 61)
(4, 1, 0, (1, 0, 1), 5): (48, 49)
(4, 1, 0, (1, 0, 1), 6): (24, 25)
(4, 1, 0, (1, 0, 1), 7): (14, 14)
(4, 1, 0, (1, 0, 1), 8): (8, 8)
(4, 1, 0, (1, 0, 1), 9): (12, 12)
(4, 1, 0, (1, 0, 1), 10): (1, 1)
(4, 1, 0, (1, 0, 1), 11): (1, 1)
(4, 1, 0, (1, 1, 0), -13): (0, 1)
(4, 1, 0, (1, 1, 0), -11): (0, 2)
(4, 1, 0, (1, 1, 0), -10): (0, 3)
(4, 1, 0, (1, 1, 0), -9): (1, 11)
(4, 1, 0, (1, 1, 0), -8): (2, 11)
(4, 1, 0, (1, 1, 0), -7): (0, 31)
(4, 1, 0, (1, 1, 0), -6): (5, 51)
(4, 1, 0, (1, 1, 0), -5): (21, 101)
(4, 1, 0, (1, 1, 0), -4): (53, 180)
(4, 1, 0, (1, 1, 0), -3): (87, 264)
(4, 1, 0, (1, 1, 0), -2): (176, 399)
(4, 1, 0, (1, 1, 0), -1): (291, 511)
(4, 1, 0, (1, 1, 0), 0): (517, 749)
(4, 1, 0, (1, 1, 0), 1): (416, 508)
(4, 1, 0, (1, 1, 0), 2): (307, 344)
(4, 1, 0, (1, 1, 0), 3): (181, 197)
(4, 1, 0, (1, 1, 0), 4): (146, 149)
(4, 1, 0, (1, 1, 0), 5): (85, 86)
(4, 1, 0, (1, 1, 0), 6): (63, 64)
(4, 1, 0, (1, 1, 0), 7): (42, 42)
(4, 1, 0, (1, 1, 0), 8): (12, 12)
(4, 1, 0, (1, 1, 0), 9): (12, 12)
(4, 1, 0, (1, 1, 0), 10): (10, 10)
(4, 1, 0, (1, 1, 0), 11): (5, 5)
(4, 1, 0, (1, 1, 0), 12): (1, 1)
(4, 1, 0, (1, 1, 1), -10): (0, 2)
(4, 1, 0, (1, 1, 1), -9): (0, 4)
(4, 1, 0, (1, 1, 1), -8): (1, 2)
(4, 1, 0, (1, 1, 1), -7): (0, 6)
(4, 1, 0, (1, 1, 1), -6): (0, 15)
(4, 1, 0, (1, 1, 1), -5): (3, 13)
(4, 1, 0, (1, 1, 1), -4): (10, 43)
(4, 1, 0, (1, 1, 1), -3): (30, 70)
(4, 1, 0, (1, 1, 1), -2): (49, 83)
(4, 1, 0, (1, 1, 1), -1): (66, 108)
(4, 1, 0, (1, 1, 1), 0): (129, 171)
(4, 1, 0, (1, 1, 1), 1): (109, 126)
(4, 1, 0, (1, 1, 1), 2): (82, 86)
(4, 1, 0, (1, 1, 1), 3): (69, 73)
(4, 1, 0, (1, 1, 1), 4): (44, 44)
(4, 1, 0, (1, 1, 1), 5): (36, 36)
(4, 1, 0, (1, 1, 1), 6): (26, 26)
(4, 1, 0, (1, 1, 1), 7): (16, 16)
(4, 1, 0, (1, 1, 1), 8): (5, 5)
(4, 1, 0, (1, 1, 1), 9): (3, 3)
(4, 1, 0, (1, 1, 1), 11): (2, 2)
(4, 1, 0, (1, 1, 1), 12): (1, 1)
(4, 1, 1, (0, 0, 0), -16): (0, 2)
(4, 1, 1, (0, 0, 0), -15): (0, 1)
(4, 1, 1, (0, 0, 0), -14): (0, 4)
(4, 1, 1, (0, 0, 0), -13): (0, 6)
(4, 1, 1, (0, 0, 0), -12): (0, 15)
(4, 1, 1, (0, 0, 0), -11): (0, 24)
(4, 1, 1, (0, 0, 0), -10): (1, 66)
(4, 1, 1, (0, 0, 0), -9): (1, 116)
(4, 1, 1, (0, 0, 0), -8): (3, 172)
(4, 1, 1, (0, 0, 0), -7): (7, 332)
(4, 1, 1, (0, 0, 0), -6): (37, 635)
(4, 1, 1, (0, 0, 0), -5): (87, 970)
(4, 1, 1, (0, 0, 0), -4): (207, 1799)
(4, 1, 1, (0, 0, 0), -3): (592, 3024)
(4, 1, 1, (0, 0, 0), -2): (1282, 4587)
(4, 1, 1, (0, 0, 0), -1): (2627, 6458)
(4, 1, 1, (0, 0, 0), 0): (4911, 8857)
(4, 1, 1, (0, 0, 0), 1): (4186, 6047)
(4, 1, 1, (0, 0, 0), 2): (3304, 4086)
(4, 1, 1, (0, 0, 0), 3): (2290, 2612)
(4, 1, 1, (0, 0, 0), 4): (1468, 1586)
(4, 1, 1, (0, 0, 0), 5): (824, 864)
(4, 1, 1, (0, 0, 0), 6): (464, 475)
(4, 1, 1, (0, 0, 0), 7): (239, 245)
(4, 1, 1, (0, 0, 0), 8): (130, 132)
(4, 1, 1, (0, 0, 0), 9): (90, 92)
(4, 1, 1, (0, 0, 0), 10): (45, 45)
(4, 1, 1, (0, 0, 0), 11): (22, 23)
(4, 1, 1, (0, 0, 0), 12): (14, 14)
(4, 1, 1, (0, 0, 0), 13): (6, 6)
(4, 1, 1, (0, 0, 0), 14): (1, 1)
(4, 1, 1, (0, 0, 0), 15): (1, 1)
(4, 1, 1, (0, 0, 0), 16): (1, 1)
(4, 1, 1, (0, 0, 1), -11): (0, 2)
(4, 1, 1, (0, 0, 1), -10): (0, 2)
(4, 1, 1, (0, 0, 1), -9): (0, 8)
(4, 1, 1, (0, 0, 1), -8): (0, 8)
(4, 1, 1, (0, 0, 1), -7): (0, 9)
(4, 1, 1, (0, 0, 1), -6): (3, 21)
(4, 1, 1, (0, 0, 1), -5): (5, 47)
(4, 1, 1, (0, 0, 1), -4): (14, 85)
(4, 1, 1, (0, 0, 1), -3): (35, 122)
(4, 1, 1, (0, 0, 1), -2): (105, 244)
(4, 1, 1, (0, 0, 1), -1): (215, 413)
(4, 1, 1, (0, 0, 1), 0): (342, 538)
(4, 1, 1, (0, 0, 1), 1): (336, 446)
(4, 1, 1, (0, 0, 1), 2): (297, 341)
(4, 1, 1, (0, 0, 1), 3): (208, 226)
(4, 1, 1, (0, 0, 1), 4): (158, 166)
(4, 1, 1, (0, 0, 1), 5): (99, 101)
(4, 1, 1, (0, 0, 1), 6): (51, 51)
(4, 1, 1, (0, 0, 1), 7): (26, 27)
(4, 1, 1, (0, 0, 1), 8): (14, 14)
(4, 1, 1, (0, 0, 1), 9): (7, 7)
(4, 1, 1, (0, 0, 1), 10): (3, 3)
(4, 1, 1, (0, 0, 1), 11): (2, 2)
(4, 1, 1, (0, 0, 1), 13): (1, 1)
(4, 1, 1, (0, 1, 0), -12): (0, 4)
(4, 1, 1, (0, 1, 0), -11): (0, 3)
(4, 1, 1, (0, 1, 0), -10): (0, 9)
(4, 1, 1, (0, 1, 0), -9): (0, 22)
(4, 1, 1, (0, 1, 0), -8): (0, 25)
(4, 1, 1, (0, 1, 0), -7): (3, 51)
(4, 1, 1, (0, 1, 0), -6): (5, 78)
(4, 1, 1, (0, 1, 0), -5): (15, 154)
(4, 1, 1, (0, 1, 0), -4): (48, 270)
(4, 1, 1, (0, 1, 0), -3): (121, 441)
(4, 1, 1, (0, 1, 0), -2): (221, 688)
(4, 1, 1, (0, 1, 0), -1): (587, 1221)
(4, 1, 1, (0, 1, 0), 0): (995, 1627)
(4, 1, 1, (0, 1, 0), 1): (893, 1226)
(4, 1, 1, (0, 1, 0), 2): (748, 917)
(4, 1, 1, (0, 1, 0), 3): (576, 648)
(4, 1, 1, (0, 1, 0), 4): (351, 378)
(4, 1, 1, (0, 1, 0), 5): (268, 274)
(4, 1, 1, (0, 1, 0), 6): (121, 125)
(4, 1, 1, (0, 1, 0), 7): (52, 52)
(4, 1, 1, (0, 1, 0), 8): (30, 30)
(4, 1, 1, (0, 1, 0), 9): (14, 14)
(4, 1, 1, (0, 1, 0), 10): (9, 9)
(4, 1, 1, (0, 1, 0), 11): (7, 7)
(4, 1, 1, (0, 1, 0), 12): (3, 3)
(4, 1, 1, (0, 1, 0), 14): (1, 1)
(4, 1, 1, (0, 1, 0), 15): (2, 2)
(4, 1, 1, (0, 1, 1), -10): (0, 1)
(4, 1, 1, (0, 1, 1), -9): (1, 5)
(4, 1, 1, (0, 1, 1), -8): (0, 5)
(4, 1, 1, (0, 1, 1), -7): (0, 7)
(4, 1, 1, (0, 1, 1), -6): (3, 31)
(4, 1, 1, (0, 1, 1), -5): (7, 43)
(4, 1, 1, (0, 1, 1), -4): (17, 67)
(4, 1, 1, (0, 1, 1), -3): (24, 103)
(4, 1, 1, (0, 1, 1), -2): (86, 192)
(4, 1, 1, (0, 1, 1), -1): (148, 263)
(4, 1, 1, (0, 1, 1), 0): (305, 415)
(4, 1, 1, (0, 1, 1), 1): (268, 330)
(4, 1, 1, (0, 1, 1), 2): (236, 269)
(4, 1, 1, (0, 1, 1), 3): (160, 174)
(4, 1, 1, (0, 1, 1), 4): (107, 111)
(4, 1, 1, (0, 1, 1), 5): (70, 71)
(4, 1, 1, (0, 1, 1), 6): (46, 46)
(4, 1, 1, (0, 1, 1), 7): (23, 24)
(4, 1, 1, (0, 1, 1), 8): (19, 19)
(4, 1, 1, (0, 1, 1), 9): (10, 10)
(4, 1, 1, (0, 1, 1), 10): (5, 5)
(4, 1, 1, (0, 1, 1), 11): (3, 3)
(4, 1, 1, (1, 0, 0), -16): (0, 1)
(4, 1, 1, (1, 0, 0), -14): (0, 2)
(4, 1, 1, (1, 0, 0), -13): (0, 2)
(4, 1, 1, (1, 0, 0), -12): (0, 5)
(4, 1, 1, (1, 0, 0), -11): (0, 10)
(4, 1, 1, (1, 0, 0), -10): (1, 28)
(4, 1, 1, (1, 0, 0), -9): (1, 46)
(4, 1, 1, (1, 0, 0), -8): (1, 69)
(4, 1, 1, (1, 0, 0), -7): (5, 141)
(4, 1, 1, (1, 0, 0), -6): (19, 214)
(4, 1, 1, (1, 0, 0), -5): (50, 445)
(4, 1, 1, (1, 0, 0), -4): (114, 766)
(4, 1, 1, (1, 0, 0), -3): (301, 1236)
(4, 1, 1, (1, 0, 0), -2): (597, 1923)
(4, 1, 1, (1, 0, 0), -1): (1162, 2597)
(4, 1, 1, (1, 0, 0), 0): (2091, 3529)
(4, 1, 1, (1, 0, 0), 1): (1901, 2597)
(4, 1, 1, (1, 0, 0), 2): (1456, 1776)
(4, 1, 1, (1, 0, 0), 3): (964, 1079)
(4, 1, 1, (1, 0, 0), 4): (624, 670)
(4, 1, 1, (1, 0, 0), 5): (417, 429)
(4, 1, 1, (1, 0, 0), 6): (210, 213)
(4, 1, 1, (1, 0, 0), 7): (138, 143)
(4, 1, 1, (1, 0, 0), 8): (73, 74)
(4, 1, 1, (1, 0, 0), 9): (36, 36)
(4, 1, 1, (1, 0, 0), 10): (20, 20)
(4, 1, 1, (1, 0, 0), 11): (14, 14)
(4, 1, 1, (1, 0, 0), 12): (6, 6)
(4, 1, 1, (1, 0, 0), 13): (3, 3)
(4, 1, 1, (1, 0, 0), 14): (1, 1)
(4, 1, 1, (1, 0, 0), 15): (1, 1)
(4, 1, 1, (1, 0, 1), -12): (0, 1)
(4, 1, 1, (1, 0, 1), -11): (0, 3)
(4, 1, 1, (1, 0, 1), -10): (0, 2)
(4, 1, 1, (1, 0, 1), -9): (0, 5)
(4, 1, 1, (1, 0, 1), -8): (0, 10)
(4, 1, 1, (1, 0, 1), -7): (0, 12)
(4, 1, 1, (1, 0, 1), -6): (2, 28)
(4, 1, 1, (1, 0, 1), -5): (10, 70)
(4, 1, 1, (1, 0, 1), -4): (26, 110)
(4, 1, 1, (1, 0, 1), -3): (60, 173)
(4, 1, 1, (1, 0, 1), -2): (106, 281)
(4, 1, 1, (1, 0, 1), -1): (240, 430)
(4, 1, 1, (1, 0, 1), 0): (400, 592)
(4, 1, 1, (1, 0, 1), 1): (357, 467)
(4, 1, 1, (1, 0, 1), 2): (313, 372)
(4, 1, 1, (1, 0, 1), 3): (219, 243)
(4, 1, 1, (1, 0, 1), 4): (158, 164)
(4, 1, 1, (1, 0, 1), 5): (105, 108)
(4, 1, 1, (1, 0, 1), 6): (67, 67)
(4, 1, 1, (1, 0, 1), 7): (41, 41)
(4, 1, 1, (1, 0, 1), 8): (10, 10)
(4, 1, 1, (1, 0, 1), 9): (7, 7)
(4, 1, 1, (1, 0, 1), 10): (6, 6)
(4, 1, 1, (1, 0, 1), 11): (3, 3)
(4, 1, 1, (1, 0, 1), 12): (2, 2)
(4, 1, 1, (1, 1, 0), -16): (0, 1)
(4, 1, 1, (1, 1, 0), -14): (0, 2)
(4, 1, 1, (1, 1, 0), -13): (0, 2)
(4, 1, 1, (1, 1, 0), -12): (0, 3)
(4, 1, 1, (1, 1, 0), -11): (0, 2)
(4, 1, 1, (1, 1, 0), -10): (0, 3)
(4, 1, 1, (1, 1, 0), -9): (1, 24)
(4, 1, 1, (1, 1, 0), -8): (2, 29)
(4, 1, 1, (1, 1, 0), -7): (2, 58)
(4, 1, 1, (1, 1, 0), -6): (8, 78)
(4, 1, 1, (1, 1, 0), -5): (21, 151)
(4, 1, 1, (1, 1, 0), -4): (45, 249)
(4, 1, 1, (1, 1, 0), -3): (125, 410)
(4, 1, 1, (1, 1, 0), -2): (213, 611)
(4, 1, 1, (1, 1, 0), -1): (448, 870)
(4, 1, 1, (1, 1, 0), 0): (726, 1140)
(4, 1, 1, (1, 1, 0), 1): (738, 946)
(4, 1, 1, (1, 1, 0), 2): (556, 654)
(4, 1, 1, (1, 1, 0), 3): (383, 422)
(4, 1, 1, (1, 1, 0), 4): (251, 265)
(4, 1, 1, (1, 1, 0), 5): (189, 196)
(4, 1, 1, (1, 1, 0), 6): (96, 97)
(4, 1, 1, (1, 1, 0), 7): (74, 75)
(4, 1, 1, (1, 1, 0), 8): (34, 34)
(4, 1, 1, (1, 1, 0), 9): (20, 20)
(4, 1, 1, (1, 1, 0), 10): (10, 10)
(4, 1, 1, (1, 1, 0), 11): (4, 4)
(4, 1, 1, (1, 1, 0), 12): (1, 1)
(4, 1, 1, (1, 1, 0), 13): (1, 1)
(4, 1, 1, (1, 1, 0), 15): (1, 1)
(4, 1, 1, (1, 1, 1), -14): (0, 1)
(4, 1, 1, (1, 1, 1), -10): (0, 1)
(4, 1, 1, (1, 1, 1), -9): (0, 6)
(4, 1, 1, (1, 1, 1), -8): (0, 6)
(4, 1, 1, (1, 1, 1), -7): (0, 12)
(4, 1, 1, (1, 1, 1), -6): (3, 19)
(4, 1, 1, (1, 1, 1), -5): (11, 40)
(4, 1, 1, (1, 1, 1), -4): (19, 77)
(4, 1, 1, (1, 1, 1), -3): (49, 116)
(4, 1, 1, (1, 1, 1), -2): (72, 154)
(4, 1, 1, (1, 1, 1), -1): (144, 245)
(4, 1, 1, (1, 1, 1), 0): (267, 385)
(4, 1, 1, (1, 1, 1), 1): (270, 331)
(4, 1, 1, (1, 1, 1), 2): (230, 254)
(4, 1, 1, (1, 1, 1), 3): (159, 173)
(4, 1, 1, (1, 1, 1), 4): (95, 98)
(4, 1, 1, (1, 1, 1), 5): (86, 87)
(4, 1, 1, (1, 1, 1), 6): (50, 50)
(4, 1, 1, (1, 1, 1), 7): (31, 32)
(4, 1, 1, (1, 1, 1), 8): (15, 15)
(4, 1, 1, (1, 1, 1), 9): (7, 7)
(4, 1, 1, (1, 1, 1), 10): (2, 2)
(4, 1, 2, (0, 0, 0), -16): (0, 1)
(4, 1, 2, (0, 0, 0), -15): (0, 1)
(4, 1, 2, (0, 0, 0), -14): (0, 3)
(4, 1, 2, (0, 0, 0), -13): (0, 4)
(4, 1, 2, (0, 0, 0), -12): (0, 12)
(4, 1, 2, (0, 0, 0), -11): (0, 16)
(4, 1, 2, (0, 0, 0), -10): (0, 49)
(4, 1, 2, (0, 0, 0), -9): (1, 79)
(4, 1, 2, (0, 0, 0), -8): (2, 132)
(4, 1, 2, (0, 0, 0), -7): (3, 236)
(4, 1, 2, (0, 0, 0), -6): (21, 483)
(4, 1, 2, (0, 0, 0), -5): (44, 705)
(4, 1, 2, (0, 0, 0), -4): (122, 1310)
(4, 1, 2, (0, 0, 0), -3): (377, 2252)
(4, 1, 2, (0, 0, 0), -2): (894, 3461)
(4, 1, 2, (0, 0, 0), -1): (1866, 4875)
(4, 1, 2, (0, 0, 0), 0): (3639, 6825)
(4, 1, 2, (0, 0, 0), 1): (3329, 4937)
(4, 1, 2, (0, 0, 0), 2): (2618, 3307)
(4, 1, 2, (0, 0, 0), 3): (1952, 2246)
(4, 1, 2, (0, 0, 0), 4): (1278, 1384)
(4, 1, 2, (0, 0, 0), 5): (742, 779)
(4, 1, 2, (0, 0, 0), 6): (459, 475)
(4, 1, 2, (0, 0, 0), 7): (261, 266)
(4, 1, 2, (0, 0, 0), 8): (158, 159)
(4, 1, 2, (0, 0, 0), 9): (90, 92)
(4, 1, 2, (0, 0, 0), 10): (45, 45)
(4, 1, 2, (0, 0, 0), 11): (26, 27)
(4, 1, 2, (0, 0, 0), 12): (14, 14)
(4, 1, 2, (0, 0, 0), 13): (5, 5)
(4, 1, 2, (0, 0, 0), 14): (2, 2)
(4, 1, 2, (0, 0, 0), 16): (2, 2)
(4, 1, 2, (0, 0, 1), -11): (0, 2)
(4, 1, 2, (0, 0, 1), -10): (0, 7)
(4, 1, 2, (0, 0, 1), -9): (0, 10)
(4, 1, 2, (0, 0, 1), -8): (0, 10)
(4, 1, 2, (0, 0, 1), -7): (3, 22)
(4, 1, 2, (0, 0, 1), -6): (1, 32)
(4, 1, 2, (0, 0, 1), -5): (6, 78)
(4, 1, 2, (0, 0, 1), -4): (21, 116)
(4, 1, 2, (0, 0, 1), -3): (35, 190)
(4, 1, 2, (0, 0, 1), -2): (99, 327)
(4, 1, 2, (0, 0, 1), -1): (243, 560)
(4, 1, 2, (0, 0, 1), 0): (436, 762)
(4, 1, 2, (0, 0, 1), 1): (453, 623)
(4, 1, 2, (0, 0, 1), 2): (405, 501)
(4, 1, 2, (0, 0, 1), 3): (316, 358)
(4, 1, 2, (0, 0, 1), 4): (227, 255)
(4, 1, 2, (0, 0, 1), 5): (162, 166)
(4, 1, 2, (0, 0, 1), 6): (99, 102)
(4, 1, 2, (0, 0, 1), 7): (42, 43)
(4, 1, 2, (0, 0, 1), 8): (31, 31)
(4, 1, 2, (0, 0, 1), 9): (19, 19)
(4, 1, 2, (0, 0, 1), 10): (7, 7)
(4, 1, 2, (0, 0, 1), 11): (8, 8)
(4, 1, 2, (0, 0, 1), 12): (3, 3)
(4, 1, 2, (0, 0, 1), 13): (1, 1)
(4, 1, 2, (0, 0, 1), 15): (1, 1)
(4, 1, 2, (0, 1, 0), -13): (0, 1)
(4, 1, 2, (0, 1, 0), -12): (0, 4)
(4, 1, 2, (0, 1, 0), -10): (0, 11)
(4, 1, 2, (0, 1, 0), -9): (0, 21)
(4, 1, 2, (0, 1, 0), -8): (1, 24)
(4, 1, 2, (0, 1, 0), -7): (1, 46)
(4, 1, 2, (0, 1, 0), -6): (3, 83)
(4, 1, 2, (0, 1, 0), -5): (14, 152)
(4, 1, 2, (0, 1, 0), -4): (38, 303)
(4, 1, 2, (0, 1, 0), -3): (99, 481)
(4, 1, 2, (0, 1, 0), -2): (244, 825)
(4, 1, 2, (0, 1, 0), -1): (550, 1327)
(4, 1, 2, (0, 1, 0), 0): (1043, 1855)
(4, 1, 2, (0, 1, 0), 1): (1164, 1643)
(4, 1, 2, (0, 1, 0), 2): (1002, 1237)
(4, 1, 2, (0, 1, 0), 3): (827, 944)
(4, 1, 2, (0, 1, 0), 4): (564, 616)
(4, 1, 2, (0, 1, 0), 5): (348, 359)
(4, 1, 2, (0, 1, 0), 6): (196, 198)
(4, 1, 2, (0, 1, 0), 7): (123, 126)
(4, 1, 2, (0, 1, 0), 8): (46, 46)
(4, 1, 2, (0, 1, 0), 9): (37, 37)
(4, 1, 2, (0, 1, 0), 10): (19, 19)
(4, 1, 2, (0, 1, 0), 11): (16, 16)
(4, 1, 2, (0, 1, 0), 12): (5, 5)
(4, 1, 2, (0, 1, 0), 13): (1, 1)
(4, 1, 2, (0, 1, 0), 14): (1, 1)
(4, 1, 2, (0, 1, 0), 15): (1, 1)
(4, 1, 2, (0, 1, 0), 16): (1, 1)
(4, 1, 2, (0, 1, 1), -13): (0, 1)
(4, 1, 2, (0, 1, 1), -11): (0, 1)
(4, 1, 2, (0, 1, 1), -10): (0, 2)
(4, 1, 2, (0, 1, 1), -9): (1, 5)
(4, 1, 2, (0, 1, 1), -8): (0, 5)
(4, 1, 2, (0, 1, 1), -7): (0, 18)
(4, 1, 2, (0, 1, 1), -6): (2, 32)
(4, 1, 2, (0, 1, 1), -5): (4, 42)
(4, 1, 2, (0, 1, 1), -4): (7, 45)
(4, 1, 2, (0, 1, 1), -3): (22, 113)
(4, 1, 2, (0, 1, 1), -2): (59, 190)
(4, 1, 2, (0, 1, 1), -1): (115, 277)
(4, 1, 2, (0, 1, 1), 0): (260, 413)
(4, 1, 2, (0, 1, 1), 1): (302, 388)
(4, 1, 2, (0, 1, 1), 2): (253, 305)
(4, 1, 2, (0, 1, 1), 3): (190, 214)
(4, 1, 2, (0, 1, 1), 4): (150, 162)
(4, 1, 2, (0, 1, 1), 5): (78, 83)
(4, 1, 2, (0, 1, 1), 6): (64, 66)
(4, 1, 2, (0, 1, 1), 7): (37, 37)
(4, 1, 2, (0, 1, 1), 8): (19, 19)
(4, 1, 2, (0, 1, 1), 9): (18, 18)
(4, 1, 2, (0, 1, 1), 10): (3, 3)
(4, 1, 2, (0, 1, 1), 11): (3, 3)
(4, 1, 2, (0, 1, 1), 12): (2, 2)
(4, 1, 2, (0, 1, 1), 13): (1, 1)
(4, 1, 2, (1, 0, 0), -14): (0, 1)
(4, 1, 2, (1, 0, 0), -13): (0, 2)
(4, 1, 2, (1, 0, 0), -12): (0, 4)
(4, 1, 2, (1, 0, 0), -11): (0, 8)
(4, 1, 2, (1, 0, 0), -10): (0, 24)
(4, 1, 2, (1, 0, 0), -9): (0, 34)
(4, 1, 2, (1, 0, 0), -8): (0, 66)
(4, 1, 2, (1, 0, 0), -7): (4, 135)
(4, 1, 2, (1, 0, 0), -6): (13, 231)
(4, 1, 2, (1, 0, 0), -5): (31, 383)
(4, 1, 2, (1, 0, 0), -4): (78, 673)
(4, 1, 2, (1, 0, 0), -3): (213, 1154)
(4, 1, 2, (1, 0, 0), -2): (549, 1811)
(4, 1, 2, (1, 0, 0), -1): (942, 2409)
(4, 1, 2, (1, 0, 0), 0): (1938, 3451)
(4, 1, 2, (1, 0, 0), 1): (1845, 2635)
(4, 1, 2, (1, 0, 0), 2): (1436, 1795)
(4, 1, 2, (1, 0, 0), 3): (1080, 1239)
(4, 1, 2, (1, 0, 0), 4): (753, 817)
(4, 1, 2, (1, 0, 0), 5): (473, 495)
(4, 1, 2, (1, 0, 0), 6): (325, 331)
(4, 1, 2, (1, 0, 0), 7): (174, 177)
(4, 1, 2, (1, 0, 0), 8): (108, 109)
(4, 1, 2, (1, 0, 0), 9): (50, 51)
(4, 1, 2, (1, 0, 0), 10): (33, 33)
(4, 1, 2, (1, 0, 0), 11): (22, 22)
(4, 1, 2, (1, 0, 0), 12): (14, 14)
(4, 1, 2, (1, 0, 0), 13): (5, 5)
(4, 1, 2, (1, 0, 0), 14): (1, 1)
(4, 1, 2, (1, 0, 0), 15): (1, 1)
(4, 1, 2, (1, 0, 1), -12): (0, 1)
(4, 1, 2, (1, 0, 1), -11): (0, 2)
(4, 1, 2, (1, 0, 1), -10): (0, 1)
(4, 1, 2, (1, 0, 1), -9): (0, 7)
(4, 1, 2, (1, 0, 1), -8): (1, 10)
(4, 1, 2, (1, 0, 1), -7): (1, 21)
(4, 1, 2, (1, 0, 1), -6): (1, 43)
(4, 1, 2, (1, 0, 1), -5): (8, 68)
(4, 1, 2, (1, 0, 1), -4): (26, 125)
(4, 1, 2, (1, 0, 1), -3): (47, 226)
(4, 1, 2, (1, 0, 1), -2): (114, 328)
(4, 1, 2, (1, 0, 1), -1): (209, 457)
(4, 1, 2, (1, 0, 1), 0): (403, 690)
(4, 1, 2, (1, 0, 1), 1): (431, 598)
(4, 1, 2, (1, 0, 1), 2): (399, 499)
(4, 1, 2, (1, 0, 1), 3): (313, 349)
(4, 1, 2, (1, 0, 1), 4): (223, 241)
(4, 1, 2, (1, 0, 1), 5): (131, 141)
(4, 1, 2, (1, 0, 1), 6): (92, 92)
(4, 1, 2, (1, 0, 1), 7): (71, 71)
(4, 1, 2, (1, 0, 1), 8): (40, 41)
(4, 1, 2, (1, 0, 1), 9): (23, 23)
(4, 1, 2, (1, 0, 1), 10): (13, 13)
(4, 1, 2, (1, 0, 1), 11): (5, 5)
(4, 1, 2, (1, 0, 1), 12): (1, 1)
(4, 1, 2, (1, 0, 1), 13): (3, 3)
(4, 1, 2, (1, 0, 1), 15): (1, 1)
(4, 1, 2, (1, 0, 1), 16): (2, 2)
(4, 1, 2, (1, 0, 1), 18): (1, 1)
(4, 1, 2, (1, 1, 0), -16): (0, 1)
(4, 1, 2, (1, 1, 0), -13): (0, 1)
(4, 1, 2, (1, 1, 0), -12): (0, 3)
(4, 1, 2, (1, 1, 0), -11): (0, 1)
(4, 1, 2, (1, 1, 0), -10): (0, 7)
(4, 1, 2, (1, 1, 0), -9): (1, 12)
(4, 1, 2, (1, 1, 0), -8): (0, 21)
(4, 1, 2, (1, 1, 0), -7): (2, 60)
(4, 1, 2, (1, 1, 0), -6): (6, 78)
(4, 1, 2, (1, 1, 0), -5): (11, 150)
(4, 1, 2, (1, 1, 0), -4): (30, 275)
(4, 1, 2, (1, 1, 0), -3): (93, 448)
(4, 1, 2, (1, 1, 0), -2): (213, 734)
(4, 1, 2, (1, 1, 0), -1): (428, 991)
(4, 1, 2, (1, 1, 0), 0): (813, 1406)
(4, 1, 2, (1, 1, 0), 1): (915, 1259)
(4, 1, 2, (1, 1, 0), 2): (708, 864)
(4, 1, 2, (1, 1, 0), 3): (571, 633)
(4, 1, 2, (1, 1, 0), 4): (393, 423)
(4, 1, 2, (1, 1, 0), 5): (249, 265)
(4, 1, 2, (1, 1, 0), 6): (161, 163)
(4, 1, 2, (1, 1, 0), 7): (122, 125)
(4, 1, 2, (1, 1, 0), 8): (65, 66)
(4, 1, 2, (1, 1, 0), 9): (37, 37)
(4, 1, 2, (1, 1, 0), 10): (24, 24)
(4, 1, 2, (1, 1, 0), 11): (11, 11)
(4, 1, 2, (1, 1, 0), 12): (6, 6)
(4, 1, 2, (1, 1, 0), 13): (4, 4)
(4, 1, 2, (1, 1, 0), 15): (1, 1)
(4, 1, 2, (1, 1, 0), 17): (1, 1)
(4, 1, 2, (1, 1, 1), -11): (0, 1)
(4, 1, 2, (1, 1, 1), -9): (0, 5)
(4, 1, 2, (1, 1, 1), -8): (0, 8)
(4, 1, 2, (1, 1, 1), -7): (1, 19)
(4, 1, 2, (1, 1, 1), -6): (2, 17)
(4, 1, 2, (1, 1, 1), -5): (9, 33)
(4, 1, 2, (1, 1, 1), -4): (7, 64)
(4, 1, 2, (1, 1, 1), -3): (25, 126)
(4, 1, 2, (1, 1, 1), -2): (60, 183)
(4, 1, 2, (1, 1, 1), -1): (117, 275)
(4, 1, 2, (1, 1, 1), 0): (270, 453)
(4, 1, 2, (1, 1, 1), 1): (324, 443)
(4, 1, 2, (1, 1, 1), 2): (241, 295)
(4, 1, 2, (1, 1, 1), 3): (181, 209)
(4, 1, 2, (1, 1, 1), 4): (158, 164)
(4, 1, 2, (1, 1, 1), 5): (96, 99)
(4, 1, 2, (1, 1, 1), 6): (67, 68)
(4, 1, 2, (1, 1, 1), 7): (48, 48)
(4, 1, 2, (1, 1, 1), 8): (22, 22)
(4, 1, 2, (1, 1, 1), 9): (9, 9)
(4, 1, 2, (1, 1, 1), 10): (6, 6)
(4, 1, 2, (1, 1, 1), 11): (2, 2)
(4, 1, 2, (1, 1, 1), 12): (2, 2)
(4, 1, 2, (1, 1, 1), 15): (1, 1)
(5, 0, 0, (0, 0, 0), -18): (0, 1)
(5, 0, 0, (0, 0, 0), -16): (0, 2)
(5, 0, 0, (0, 0, 0), -15): (0, 4)
(5, 0, 0, (0, 0, 0), -14): (0, 4)
(5, 0, 0, (0, 0, 0), -13): (0, 15)
(5, 0, 0, (0, 0, 0), -12): (0, 30)
(5, 0, 0, (0, 0, 0), -11): (1, 67)
(5, 0, 0, (0, 0, 0), -10): (0, 108)
(5, 0, 0, (0, 0, 0), -9): (2, 193)
(5, 0, 0, (0, 0, 0), -8): (3, 333)
(5, 0, 0, (0, 0, 0), -7): (11, 592)
(5, 0, 0, (0, 0, 0), -6): (30, 995)
(5, 0, 0, (0, 0, 0), -5): (86, 1614)
(5, 0, 0, (0, 0, 0), -4): (218, 2697)
(5, 0, 0, (0, 0, 0), -3): (564, 4282)
(5, 0, 0, (0, 0, 0), -2): (1340, 6283)
(5, 0, 0, (0, 0, 0), -1): (2867, 8900)
(5, 0, 0, (0, 0, 0), 0): (5329, 11204)
(5, 0, 0, (0, 0, 0), 1): (5197, 8168)
(5, 0, 0, (0, 0, 0), 2): (4331, 5800)
(5, 0, 0, (0, 0, 0), 3): (3136, 3762)
(5, 0, 0, (0, 0, 0), 4): (2049, 2271)
(5, 0, 0, (0, 0, 0), 5): (1198, 1282)
(5, 0, 0, (0, 0, 0), 6): (760, 798)
(5, 0, 0, (0, 0, 0), 7): (426, 439)
(5, 0, 0, (0, 0, 0), 8): (230, 233)
(5, 0, 0, (0, 0, 0), 9): (136, 138)
(5, 0, 0, (0, 0, 0), 10): (82, 83)
(5, 0, 0, (0, 0, 0), 11): (30, 30)
(5, 0, 0, (0, 0, 0), 12): (16, 16)
(5, 0, 0, (0, 0, 0), 13): (8, 8)
(5, 0, 0, (0, 0, 0), 14): (7, 7)
(5, 0, 0, (0, 0, 0), 15): (1, 1)
(5, 0, 0, (0, 0, 0), 16): (2, 2)
(5, 0, 0, (0, 0, 0), 17): (1, 1)
(5, 0, 0, (0, 0, 1), -10): (0, 1)
(5, 0, 0, (0, 0, 1), -9): (0, 1)
(5, 0, 0, (0, 0, 1), -8): (0, 3)
(5, 0, 0, (0, 0, 1), -7): (0, 4)
(5, 0, 0, (0, 0, 1), -6): (0, 7)
(5, 0, 0, (0, 0, 1), -5): (2, 22)
(5, 0, 0, (0, 0, 1), -4): (3, 20)
(5, 0, 0, (0, 0, 1), -3): (12, 50)
(5, 0, 0, (0, 0, 1), -2): (20, 56)
(5, 0, 0, (0, 0, 1), -1): (39, 80)
(5, 0, 0, (0, 0, 1), 0): (77, 133)
(5, 0, 0, (0, 0, 1), 1): (97, 122)
(5, 0, 0, (0, 0, 1), 2): (79, 92)
(5, 0, 0, (0, 0, 1), 3): (58, 68)
(5, 0, 0, (0, 0, 1), 4): (57, 58)
(5, 0, 0, (0, 0, 1), 5): (33, 33)
(5, 0, 0, (0, 0, 1), 6): (20, 22)
(5, 0, 0, (0, 0, 1), 7): (12, 12)
(5, 0, 0, (0, 0, 1), 8): (3, 3)
(5, 0, 0, (0, 0, 1), 9): (2, 2)
(5, 0, 0, (0, 0, 1), 10): (3, 3)
(5, 0, 0, (0, 0, 1), 12): (1, 1)
(5, 0, 0, (0, 0, 1), 14): (1, 1)
(5, 0, 0, (0, 1, 0), -16): (0, 1)
(5, 0, 0, (0, 1, 0), -15): (0, 1)
(5, 0, 0, (0, 1, 0), -12): (0, 1)
(5, 0, 0, (0, 1, 0), -11): (0, 5)
(5, 0, 0, (0, 1, 0), -10): (0, 6)
(5, 0, 0, (0, 1, 0), -9): (0, 15)
(5, 0, 0, (0, 1, 0), -8): (0, 17)
(5, 0, 0, (0, 1, 0), -7): (0, 35)
(5, 0, 0, (0, 1, 0), -6): (2, 55)
(5, 0, 0, (0, 1, 0), -5): (10, 90)
(5, 0, 0, (0, 1, 0), -4): (19, 159)
(5, 0, 0, (0, 1, 0), -3): (54, 265)
(5, 0, 0, (0, 1, 0), -2): (120, 385)
(5, 0, 0, (0, 1, 0), -1): (236, 595)
(5, 0, 0, (0, 1, 0), 0): (450, 785)
(5, 0, 0, (0, 1, 0), 1): (451, 638)
(5, 0, 0, (0, 1, 0), 2): (372, 445)
(5, 0, 0, (0, 1, 0), 3): (309, 340)
(5, 0, 0, (0, 1, 0), 4): (205, 229)
(5, 0, 0, (0, 1, 0), 5): (110, 116)
(5, 0, 0, (0, 1, 0), 6): (71, 79)
(5, 0, 0, (0, 1, 0), 7): (32, 32)
(5, 0, 0, (0, 1, 0), 8): (14, 15)
(5, 0, 0, (0, 1, 0), 9): (14, 14)
(5, 0, 0, (0, 1, 0), 10): (7, 7)
(5, 0, 0, (0, 1, 0), 11): (7, 7)
(5, 0, 0, (0, 1, 0), 12): (1, 1)
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(5, 0, 0, (0, 1, 1), -11): (0, 2)
(5, 0, 0, (0, 1, 1), -10): (0, 4)
(5, 0, 0, (0, 1, 1), -9): (0, 2)
(5, 0, 0, (0, 1, 1), -8): (0, 3)
(5, 0, 0, (0, 1, 1), -7): (0, 7)
(5, 0, 0, (0, 1, 1), -6): (0, 5)
(5, 0, 0, (0, 1, 1), -5): (2, 18)
(5, 0, 0, (0, 1, 1), -4): (7, 29)
(5, 0, 0, (0, 1, 1), -3): (14, 43)
(5, 0, 0, (0, 1, 1), -2): (29, 68)
(5, 0, 0, (0, 1, 1), -1): (64, 114)
(5, 0, 0, (0, 1, 1), 0): (89, 121)
(5, 0, 0, (0, 1, 1), 1): (87, 103)
(5, 0, 0, (0, 1, 1), 2): (95, 107)
(5, 0, 0, (0, 1, 1), 3): (60, 64)
(5, 0, 0, (0, 1, 1), 4): (40, 43)
(5, 0, 0, (0, 1, 1), 5): (32, 32)
(5, 0, 0, (0, 1, 1), 6): (19, 19)
(5, 0, 0, (0, 1, 1), 7): (12, 12)
(5, 0, 0, (0, 1, 1), 8): (5, 5)
(5, 0, 0, (0, 1, 1), 9): (3, 3)
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(5, 0, 0, (1, 0, 0), -12): (0, 3)
(5, 0, 0, (1, 0, 0), -11): (1, 18)
(5, 0, 0, (1, 0, 0), -10): (0, 37)
(5, 0, 0, (1, 0, 0), -9): (0, 44)
(5, 0, 0, (1, 0, 0), -8): (2, 75)
(5, 0, 0, (1, 0, 0), -7): (5, 142)
(5, 0, 0, (1, 0, 0), -6): (9, 236)
(5, 0, 0, (1, 0, 0), -5): (25, 407)
(5, 0, 0, (1, 0, 0), -4): (74, 638)
(5, 0, 0, (1, 0, 0), -3): (168, 1080)
(5, 0, 0, (1, 0, 0), -2): (411, 1545)
(5, 0, 0, (1, 0, 0), -1): (816, 2154)
(5, 0, 0, (1, 0, 0), 0): (1461, 2745)
(5, 0, 0, (1, 0, 0), 1): (1364, 1987)
(5, 0, 0, (1, 0, 0), 2): (1156, 1480)
(5, 0, 0, (1, 0, 0), 3): (888, 1051)
(5, 0, 0, (1, 0, 0), 4): (552, 613)
(5, 0, 0, (1, 0, 0), 5): (329, 342)
(5, 0, 0, (1, 0, 0), 6): (230, 235)
(5, 0, 0, (1, 0, 0), 7): (106, 109)
(5, 0, 0, (1, 0, 0), 8): (62, 62)
(5, 0, 0, (1, 0, 0), 9): (30, 31)
(5, 0, 0, (1, 0, 0), 10): (21, 21)
(5, 0, 0, (1, 0, 0), 11): (9, 9)
(5, 0, 0, (1, 0, 0), 12): (5, 5)
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(5, 0, 0, (1, 0, 1), -9): (0, 2)
(5, 0, 0, (1, 0, 1), -8): (1, 7)
(5, 0, 0, (1, 0, 1), -7): (0, 8)
(5, 0, 0, (1, 0, 1), -6): (1, 17)
(5, 0, 0, (1, 0, 1), -5): (3, 24)
(5, 0, 0, (1, 0, 1), -4): (5, 41)
(5, 0, 0, (1, 0, 1), -3): (17, 72)
(5, 0, 0, (1, 0, 1), -2): (51, 121)
(5, 0, 0, (1, 0, 1), -1): (97, 194)
(5, 0, 0, (1, 0, 1), 0): (185, 284)
(5, 0, 0, (1, 0, 1), 1): (156, 217)
(5, 0, 0, (1, 0, 1), 2): (128, 152)
(5, 0, 0, (1, 0, 1), 3): (127, 139)
(5, 0, 0, (1, 0, 1), 4): (87, 91)
(5, 0, 0, (1, 0, 1), 5): (37, 37)
(5, 0, 0, (1, 0, 1), 6): (30, 32)
(5, 0, 0, (1, 0, 1), 7): (15, 15)
(5, 0, 0, (1, 0, 1), 8): (8, 8)
(5, 0, 0, (1, 0, 1), 9): (3, 3)
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(5, 0, 0, (1, 1, 0), -10): (0, 6)
(5, 0, 0, (1, 1, 0), -9): (0, 10)
(5, 0, 0, (1, 1, 0), -8): (1, 19)
(5, 0, 0, (1, 1, 0), -7): (2, 33)
(5, 0, 0, (1, 1, 0), -6): (4, 57)
(5, 0, 0, (1, 1, 0), -5): (7, 97)
(5, 0, 0, (1, 1, 0), -4): (23, 156)
(5, 0, 0, (1, 1, 0), -3): (66, 262)
(5, 0, 0, (1, 1, 0), -2): (124, 355)
(5, 0, 0, (1, 1, 0), -1): (197, 428)
(5, 0, 0, (1, 1, 0), 0): (287, 503)
(5, 0, 0, (1, 1, 0), 1): (305, 410)
(5, 0, 0, (1, 1, 0), 2): (267, 332)
(5, 0, 0, (1, 1, 0), 3): (222, 248)
(5, 0, 0, (1, 1, 0), 4): (155, 168)
(5, 0, 0, (1, 1, 0), 5): (81, 83)
(5, 0, 0, (1, 1, 0), 6): (67, 69)
(5, 0, 0, (1, 1, 0), 7): (37, 37)
(5, 0, 0, (1, 1, 0), 8): (18, 18)
(5, 0, 0, (1, 1, 0), 9): (9, 9)
(5, 0, 0, (1, 1, 0), 10): (9, 9)
(5, 0, 0, (1, 1, 0), 11): (4, 4)
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(5, 0, 0, (1, 1, 1), -8): (0, 6)
(5, 0, 0, (1, 1, 1), -7): (1, 7)
(5, 0, 0, (1, 1, 1), -6): (2, 14)
(5, 0, 0, (1, 1, 1), -5): (4, 22)
(5, 0, 0, (1, 1, 1), -4): (9, 34)
(5, 0, 0, (1, 1, 1), -3): (18, 51)
(5, 0, 0, (1, 1, 1), -2): (31, 62)
(5, 0, 0, (1, 1, 1), -1): (65, 102)
(5, 0, 0, (1, 1, 1), 0): (82, 122)
(5, 0, 0, (1, 1, 1), 1): (65, 82)
(5, 0, 0, (1, 1, 1), 2): (73, 90)
(5, 0, 0, (1, 1, 1), 3): (56, 63)
(5, 0, 0, (1, 1, 1), 4): (35, 40)
(5, 0, 0, (1, 1, 1), 5): (28, 28)
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(5, 0, 1, (0, 0, 0), -12): (0, 26)
(5, 0, 1, (0, 0, 0), -11): (0, 41)
(5, 0, 1, (0, 0, 0), -10): (0, 63)
(5, 0, 1, (0, 0, 0), -9): (2, 132)
(5, 0, 1, (0, 0, 0), -8): (1, 238)
(5, 0, 1, (0, 0, 0), -7): (5, 417)
(5, 0, 1, (0, 0, 0), -6): (17, 710)
(5, 0, 1, (0, 0, 0), -5): (49, 1110)
(5, 0, 1, (0, 0, 0), -4): (122, 1917)
(5, 0, 1, (0, 0, 0), -3): (331, 2959)
(5, 0, 1, (0, 0, 0), -2): (822, 4454)
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(5, 0, 1, (0, 0, 0), 3): (2271, 2761)
(5, 0, 1, (0, 0, 0), 4): (1560, 1736)
(5, 0, 1, (0, 0, 0), 5): (933, 1011)
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(5, 0, 1, (0, 0, 0), 8): (203, 205)
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(5, 0, 1, (0, 0, 1), -6): (2, 24)
(5, 0, 1, (0, 0, 1), -5): (5, 44)
(5, 0, 1, (0, 0, 1), -4): (11, 70)
(5, 0, 1, (0, 0, 1), -3): (27, 126)
(5, 0, 1, (0, 0, 1), -2): (58, 191)
(5, 0, 1, (0, 0, 1), -1): (129, 345)
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(5, 0, 1, (0, 0, 1), 1): (314, 452)
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(5, 0, 1, (0, 0, 1), 3): (214, 249)
(5, 0, 1, (0, 0, 1), 4): (161, 172)
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(5, 0, 1, (0, 0, 1), 6): (44, 46)
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(5, 0, 1, (0, 1, 0), -9): (0, 16)
(5, 0, 1, (0, 1, 0), -8): (0, 29)
(5, 0, 1, (0, 1, 0), -7): (2, 41)
(5, 0, 1, (0, 1, 0), -6): (3, 81)
(5, 0, 1, (0, 1, 0), -5): (9, 148)
(5, 0, 1, (0, 1, 0), -4): (21, 244)
(5, 0, 1, (0, 1, 0), -3): (58, 416)
(5, 0, 1, (0, 1, 0), -2): (147, 633)
(5, 0, 1, (0, 1, 0), -1): (340, 976)
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(5, 0, 1, (0, 1, 0), 1): (811, 1232)
(5, 0, 1, (0, 1, 0), 2): (737, 971)
(5, 0, 1, (0, 1, 0), 3): (573, 669)
(5, 0, 1, (0, 1, 0), 4): (369, 425)
(5, 0, 1, (0, 1, 0), 5): (227, 235)
(5, 0, 1, (0, 1, 0), 6): (126, 134)
(5, 0, 1, (0, 1, 0), 7): (75, 75)
(5, 0, 1, (0, 1, 0), 8): (36, 37)
(5, 0, 1, (0, 1, 0), 9): (26, 26)
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(5, 0, 1, (0, 1, 1), -7): (0, 15)
(5, 0, 1, (0, 1, 1), -6): (0, 21)
(5, 0, 1, (0, 1, 1), -5): (6, 41)
(5, 0, 1, (0, 1, 1), -4): (9, 60)
(5, 0, 1, (0, 1, 1), -3): (29, 106)
(5, 0, 1, (0, 1, 1), -2): (63, 199)
(5, 0, 1, (0, 1, 1), -1): (115, 281)
(5, 0, 1, (0, 1, 1), 0): (216, 338)
(5, 0, 1, (0, 1, 1), 1): (232, 296)
(5, 0, 1, (0, 1, 1), 2): (195, 244)
(5, 0, 1, (0, 1, 1), 3): (185, 199)
(5, 0, 1, (0, 1, 1), 4): (140, 154)
(5, 0, 1, (0, 1, 1), 5): (89, 93)
(5, 0, 1, (0, 1, 1), 6): (46, 47)
(5, 0, 1, (0, 1, 1), 7): (27, 27)
(5, 0, 1, (0, 1, 1), 8): (16, 16)
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(5, 0, 1, (1, 0, 0), -11): (0, 18)
(5, 0, 1, (1, 0, 0), -10): (0, 28)
(5, 0, 1, (1, 0, 0), -9): (2, 61)
(5, 0, 1, (1, 0, 0), -8): (0, 85)
(5, 0, 1, (1, 0, 0), -7): (3, 174)
(5, 0, 1, (1, 0, 0), -6): (7, 318)
(5, 0, 1, (1, 0, 0), -5): (24, 470)
(5, 0, 1, (1, 0, 0), -4): (64, 770)
(5, 0, 1, (1, 0, 0), -3): (150, 1222)
(5, 0, 1, (1, 0, 0), -2): (390, 1771)
(5, 0, 1, (1, 0, 0), -1): (804, 2443)
(5, 0, 1, (1, 0, 0), 0): (1474, 3040)
(5, 0, 1, (1, 0, 0), 1): (1497, 2327)
(5, 0, 1, (1, 0, 0), 2): (1383, 1811)
(5, 0, 1, (1, 0, 0), 3): (1006, 1214)
(5, 0, 1, (1, 0, 0), 4): (754, 833)
(5, 0, 1, (1, 0, 0), 5): (450, 477)
(5, 0, 1, (1, 0, 0), 6): (261, 269)
(5, 0, 1, (1, 0, 0), 7): (163, 169)
(5, 0, 1, (1, 0, 0), 8): (97, 98)
(5, 0, 1, (1, 0, 0), 9): (50, 51)
(5, 0, 1, (1, 0, 0), 10): (29, 30)
(5, 0, 1, (1, 0, 0), 11): (11, 11)
(5, 0, 1, (1, 0, 0), 12): (7, 7)
(5, 0, 1, (1, 0, 0), 13): (6, 6)
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(5, 0, 1, (1, 0, 1), -9): (0, 8)
(5, 0, 1, (1, 0, 1), -8): (1, 7)
(5, 0, 1, (1, 0, 1), -7): (2, 19)
(5, 0, 1, (1, 0, 1), -6): (3, 38)
(5, 0, 1, (1, 0, 1), -5): (4, 55)
(5, 0, 1, (1, 0, 1), -4): (9, 81)
(5, 0, 1, (1, 0, 1), -3): (27, 156)
(5, 0, 1, (1, 0, 1), -2): (78, 253)
(5, 0, 1, (1, 0, 1), -1): (169, 366)
(5, 0, 1, (1, 0, 1), 0): (308, 511)
(5, 0, 1, (1, 0, 1), 1): (291, 403)
(5, 0, 1, (1, 0, 1), 2): (242, 301)
(5, 0, 1, (1, 0, 1), 3): (222, 251)
(5, 0, 1, (1, 0, 1), 4): (170, 183)
(5, 0, 1, (1, 0, 1), 5): (86, 90)
(5, 0, 1, (1, 0, 1), 6): (87, 87)
(5, 0, 1, (1, 0, 1), 7): (31, 31)
(5, 0, 1, (1, 0, 1), 8): (26, 26)
(5, 0, 1, (1, 0, 1), 9): (9, 10)
(5, 0, 1, (1, 0, 1), 10): (5, 5)
(5, 0, 1, (1, 0, 1), 11): (4, 5)
(5, 0, 1, (1, 0, 1), 12): (2, 2)
(5, 0, 1, (1, 0, 1), 13): (1, 1)
(5, 0, 1, (1, 1, 0), -13): (0, 2)
(5, 0, 1, (1, 1, 0), -12): (0, 5)
(5, 0, 1, (1, 1, 0), -11): (0, 6)
(5, 0, 1, (1, 1, 0), -10): (0, 10)
(5, 0, 1, (1, 1, 0), -9): (1, 18)
(5, 0, 1, (1, 1, 0), -8): (2, 27)
(5, 0, 1, (1, 1, 0), -7): (3, 65)
(5, 0, 1, (1, 1, 0), -6): (7, 108)
(5, 0, 1, (1, 1, 0), -5): (10, 153)
(5, 0, 1, (1, 1, 0), -4): (30, 264)
(5, 0, 1, (1, 1, 0), -3): (57, 386)
(5, 0, 1, (1, 1, 0), -2): (155, 539)
(5, 0, 1, (1, 1, 0), -1): (253, 686)
(5, 0, 1, (1, 1, 0), 0): (462, 896)
(5, 0, 1, (1, 1, 0), 1): (543, 801)
(5, 0, 1, (1, 1, 0), 2): (508, 654)
(5, 0, 1, (1, 1, 0), 3): (410, 481)
(5, 0, 1, (1, 1, 0), 4): (308, 348)
(5, 0, 1, (1, 1, 0), 5): (215, 223)
(5, 0, 1, (1, 1, 0), 6): (114, 122)
(5, 0, 1, (1, 1, 0), 7): (87, 89)
(5, 0, 1, (1, 1, 0), 8): (39, 40)
(5, 0, 1, (1, 1, 0), 9): (32, 32)
(5, 0, 1, (1, 1, 0), 10): (14, 15)
(5, 0, 1, (1, 1, 0), 11): (3, 3)
(5, 0, 1, (1, 1, 0), 12): (3, 3)
(5, 0, 1, (1, 1, 0), 13): (3, 3)
(5, 0, 1, (1, 1, 0), 17): (1, 1)
(5, 0, 1, (1, 1, 1), -13): (0, 1)
(5, 0, 1, (1, 1, 1), -12): (0, 3)
(5, 0, 1, (1, 1, 1), -11): (0, 3)
(5, 0, 1, (1, 1, 1), -10): (0, 1)
(5, 0, 1, (1, 1, 1), -9): (0, 4)
(5, 0, 1, (1, 1, 1), -8): (0, 10)
(5, 0, 1, (1, 1, 1), -7): (1, 16)
(5, 0, 1, (1, 1, 1), -6): (2, 24)
(5, 0, 1, (1, 1, 1), -5): (1, 36)
(5, 0, 1, (1, 1, 1), -4): (10, 59)
(5, 0, 1, (1, 1, 1), -3): (19, 89)
(5, 0, 1, (1, 1, 1), -2): (45, 127)
(5, 0, 1, (1, 1, 1), -1): (100, 202)
(5, 0, 1, (1, 1, 1), 0): (176, 297)
(5, 0, 1, (1, 1, 1), 1): (205, 269)
(5, 0, 1, (1, 1, 1), 2): (234, 281)
(5, 0, 1, (1, 1, 1), 3): (196, 215)
(5, 0, 1, (1, 1, 1), 4): (126, 135)
(5, 0, 1, (1, 1, 1), 5): (79, 80)
(5, 0, 1, (1, 1, 1), 6): (52, 54)
(5, 0, 1, (1, 1, 1), 7): (33, 34)
(5, 0, 1, (1, 1, 1), 8): (12, 12)
(5, 0, 1, (1, 1, 1), 9): (10, 10)
(5, 0, 1, (1, 1, 1), 10): (8, 8)
(5, 0, 1, (1, 1, 1), 11): (2, 2)
(5, 0, 1, (1, 1, 1), 12): (1, 1)
(5, 0, 1, (1, 1, 1), 13): (1, 1)
(5, 0, 2, (0, 0, 0), -15): (0, 2)
(5, 0, 2, (0, 0, 0), -14): (0, 3)
(5, 0, 2, (0, 0, 0), -13): (0, 9)
(5, 0, 2, (0, 0, 0), -12): (0, 16)
(5, 0, 2, (0, 0, 0), -11): (0, 29)
(5, 0, 2, (0, 0, 0), -10): (0, 58)
(5, 0, 2, (0, 0, 0), -9): (1, 98)
(5, 0, 2, (0, 0, 0), -8): (1, 188)
(5, 0, 2, (0, 0, 0), -7): (4, 322)
(5, 0, 2, (0, 0, 0), -6): (10, 517)
(5, 0, 2, (0, 0, 0), -5): (34, 854)
(5, 0, 2, (0, 0, 0), -4): (90, 1472)
(5, 0, 2, (0, 0, 0), -3): (236, 2308)
(5, 0, 2, (0, 0, 0), -2): (572, 3486)
(5, 0, 2, (0, 0, 0), -1): (1353, 4989)
(5, 0, 2, (0, 0, 0), 0): (2636, 6289)
(5, 0, 2, (0, 0, 0), 1): (2887, 4888)
(5, 0, 2, (0, 0, 0), 2): (2553, 3564)
(5, 0, 2, (0, 0, 0), 3): (1888, 2317)
(5, 0, 2, (0, 0, 0), 4): (1294, 1464)
(5, 0, 2, (0, 0, 0), 5): (863, 934)
(5, 0, 2, (0, 0, 0), 6): (543, 571)
(5, 0, 2, (0, 0, 0), 7): (305, 314)
(5, 0, 2, (0, 0, 0), 8): (171, 173)
(5, 0, 2, (0, 0, 0), 9): (98, 100)
(5, 0, 2, (0, 0, 0), 10): (64, 64)
(5, 0, 2, (0, 0, 0), 11): (29, 29)
(5, 0, 2, (0, 0, 0), 12): (17, 17)
(5, 0, 2, (0, 0, 0), 13): (18, 18)
(5, 0, 2, (0, 0, 0), 14): (6, 6)
(5, 0, 2, (0, 0, 0), 16): (2, 2)
(5, 0, 2, (0, 0, 0), 17): (1, 1)
(5, 0, 2, (0, 0, 0), 19): (1, 1)
(5, 0, 2, (0, 0, 1), -15): (0, 1)
(5, 0, 2, (0, 0, 1), -13): (0, 1)
(5, 0, 2, (0, 0, 1), -12): (0, 1)
(5, 0, 2, (0, 0, 1), -11): (1, 2)
(5, 0, 2, (0, 0, 1), -10): (0, 4)
(5, 0, 2, (0, 0, 1), -9): (0, 10)
(5, 0, 2, (0, 0, 1), -8): (0, 11)
(5, 0, 2, (0, 0, 1), -7): (0, 24)
(5, 0, 2, (0, 0, 1), -6): (3, 41)
(5, 0, 2, (0, 0, 1), -5): (1, 64)
(5, 0, 2, (0, 0, 1), -4): (10, 96)
(5, 0, 2, (0, 0, 1), -3): (19, 178)
(5, 0, 2, (0, 0, 1), -2): (76, 338)
(5, 0, 2, (0, 0, 1), -1): (169, 539)
(5, 0, 2, (0, 0, 1), 0): (319, 675)
(5, 0, 2, (0, 0, 1), 1): (370, 596)
(5, 0, 2, (0, 0, 1), 2): (364, 487)
(5, 0, 2, (0, 0, 1), 3): (290, 350)
(5, 0, 2, (0, 0, 1), 4): (204, 226)
(5, 0, 2, (0, 0, 1), 5): (132, 147)
(5, 0, 2, (0, 0, 1), 6): (82, 85)
(5, 0, 2, (0, 0, 1), 7): (38, 39)
(5, 0, 2, (0, 0, 1), 8): (35, 35)
(5, 0, 2, (0, 0, 1), 9): (9, 9)
(5, 0, 2, (0, 0, 1), 10): (10, 10)
(5, 0, 2, (0, 0, 1), 11): (8, 8)
(5, 0, 2, (0, 0, 1), 12): (2, 2)
(5, 0, 2, (0, 0, 1), 13): (2, 2)
(5, 0, 2, (0, 0, 1), 14): (1, 1)
(5, 0, 2, (0, 0, 1), 15): (1, 1)
(5, 0, 2, (0, 0, 1), 16): (1, 1)
(5, 0, 2, (0, 1, 0), -18): (0, 1)
(5, 0, 2, (0, 1, 0), -15): (0, 1)
(5, 0, 2, (0, 1, 0), -14): (0, 1)
(5, 0, 2, (0, 1, 0), -12): (0, 2)
(5, 0, 2, (0, 1, 0), -11): (0, 7)
(5, 0, 2, (0, 1, 0), -10): (0, 10)
(5, 0, 2, (0, 1, 0), -9): (0, 16)
(5, 0, 2, (0, 1, 0), -8): (0, 45)
(5, 0, 2, (0, 1, 0), -7): (3, 48)
(5, 0, 2, (0, 1, 0), -6): (3, 116)
(5, 0, 2, (0, 1, 0), -5): (7, 187)
(5, 0, 2, (0, 1, 0), -4): (16, 305)
(5, 0, 2, (0, 1, 0), -3): (69, 532)
(5, 0, 2, (0, 1, 0), -2): (162, 824)
(5, 0, 2, (0, 1, 0), -1): (433, 1371)
(5, 0, 2, (0, 1, 0), 0): (867, 1858)
(5, 0, 2, (0, 1, 0), 1): (995, 1599)
(5, 0, 2, (0, 1, 0), 2): (893, 1216)
(5, 0, 2, (0, 1, 0), 3): (699, 837)
(5, 0, 2, (0, 1, 0), 4): (501, 567)
(5, 0, 2, (0, 1, 0), 5): (344, 365)
(5, 0, 2, (0, 1, 0), 6): (181, 191)
(5, 0, 2, (0, 1, 0), 7): (121, 121)
(5, 0, 2, (0, 1, 0), 8): (68, 71)
(5, 0, 2, (0, 1, 0), 9): (41, 41)
(5, 0, 2, (0, 1, 0), 10): (14, 14)
(5, 0, 2, (0, 1, 0), 11): (8, 8)
(5, 0, 2, (0, 1, 0), 12): (10, 11)
(5, 0, 2, (0, 1, 0), 13): (3, 3)
(5, 0, 2, (0, 1, 0), 14): (2, 2)
(5, 0, 2, (0, 1, 0), 15): (4, 4)
(5, 0, 2, (0, 1, 0), 16): (1, 1)
(5, 0, 2, (0, 1, 1), -12): (0, 1)
(5, 0, 2, (0, 1, 1), -11): (0, 6)
(5, 0, 2, (0, 1, 1), -10): (0, 4)
(5, 0, 2, (0, 1, 1), -9): (0, 2)
(5, 0, 2, (0, 1, 1), -8): (0, 5)
(5, 0, 2, (0, 1, 1), -7): (0, 16)
(5, 0, 2, (0, 1, 1), -6): (0, 33)
(5, 0, 2, (0, 1, 1), -5): (2, 36)
(5, 0, 2, (0, 1, 1), -4): (10, 85)
(5, 0, 2, (0, 1, 1), -3): (24, 137)
(5, 0, 2, (0, 1, 1), -2): (55, 195)
(5, 0, 2, (0, 1, 1), -1): (90, 255)
(5, 0, 2, (0, 1, 1), 0): (169, 337)
(5, 0, 2, (0, 1, 1), 1): (201, 303)
(5, 0, 2, (0, 1, 1), 2): (218, 286)
(5, 0, 2, (0, 1, 1), 3): (184, 215)
(5, 0, 2, (0, 1, 1), 4): (142, 162)
(5, 0, 2, (0, 1, 1), 5): (100, 105)
(5, 0, 2, (0, 1, 1), 6): (54, 55)
(5, 0, 2, (0, 1, 1), 7): (32, 32)
(5, 0, 2, (0, 1, 1), 8): (22, 23)
(5, 0, 2, (0, 1, 1), 9): (14, 14)
(5, 0, 2, (0, 1, 1), 10): (4, 4)
(5, 0, 2, (0, 1, 1), 11): (3, 3)
(5, 0, 2, (0, 1, 1), 12): (2, 2)
(5, 0, 2, (0, 1, 1), 13): (1, 1)
(5, 0, 2, (0, 1, 1), 14): (2, 2)
(5, 0, 2, (1, 0, 0), -17): (0, 1)
(5, 0, 2, (1, 0, 0), -15): (0, 1)
(5, 0, 2, (1, 0, 0), -14): (0, 2)
(5, 0, 2, (1, 0, 0), -13): (0, 1)
(5, 0, 2, (1, 0, 0), -12): (0, 8)
(5, 0, 2, (1, 0, 0), -11): (0, 18)
(5, 0, 2, (1, 0, 0), -10): (0, 28)
(5, 0, 2, (1, 0, 0), -9): (1, 57)
(5, 0, 2, (1, 0, 0), -8): (0, 94)
(5, 0, 2, (1, 0, 0), -7): (1, 187)
(5, 0, 2, (1, 0, 0), -6): (4, 269)
(5, 0, 2, (1, 0, 0), -5): (19, 455)
(5, 0, 2, (1, 0, 0), -4): (48, 775)
(5, 0, 2, (1, 0, 0), -3): (147, 1175)
(5, 0, 2, (1, 0, 0), -2): (317, 1741)
(5, 0, 2, (1, 0, 0), -1): (687, 2324)
(5, 0, 2, (1, 0, 0), 0): (1326, 2892)
(5, 0, 2, (1, 0, 0), 1): (1426, 2346)
(5, 0, 2, (1, 0, 0), 2): (1369, 1885)
(5, 0, 2, (1, 0, 0), 3): (1046, 1266)
(5, 0, 2, (1, 0, 0), 4): (813, 893)
(5, 0, 2, (1, 0, 0), 5): (501, 544)
(5, 0, 2, (1, 0, 0), 6): (320, 334)
(5, 0, 2, (1, 0, 0), 7): (212, 219)
(5, 0, 2, (1, 0, 0), 8): (122, 125)
(5, 0, 2, (1, 0, 0), 9): (67, 69)
(5, 0, 2, (1, 0, 0), 10): (49, 50)
(5, 0, 2, (1, 0, 0), 11): (21, 21)
(5, 0, 2, (1, 0, 0), 12): (9, 9)
(5, 0, 2, (1, 0, 0), 13): (8, 8)
(5, 0, 2, (1, 0, 0), 14): (4, 4)
(5, 0, 2, (1, 0, 0), 15): (1, 1)
(5, 0, 2, (1, 0, 0), 16): (3, 3)
(5, 0, 2, (1, 0, 0), 17): (2, 2)
(5, 0, 2, (1, 0, 0), 19): (1, 1)
(5, 0, 2, (1, 0, 1), -15): (0, 1)
(5, 0, 2, (1, 0, 1), -13): (0, 1)
(5, 0, 2, (1, 0, 1), -11): (0, 3)
(5, 0, 2, (1, 0, 1), -10): (0, 6)
(5, 0, 2, (1, 0, 1), -9): (1, 4)
(5, 0, 2, (1, 0, 1), -8): (1, 13)
(5, 0, 2, (1, 0, 1), -7): (0, 26)
(5, 0, 2, (1, 0, 1), -6): (1, 46)
(5, 0, 2, (1, 0, 1), -5): (7, 76)
(5, 0, 2, (1, 0, 1), -4): (7, 111)
(5, 0, 2, (1, 0, 1), -3): (31, 176)
(5, 0, 2, (1, 0, 1), -2): (70, 298)
(5, 0, 2, (1, 0, 1), -1): (149, 434)
(5, 0, 2, (1, 0, 1), 0): (271, 586)
(5, 0, 2, (1, 0, 1), 1): (351, 540)
(5, 0, 2, (1, 0, 1), 2): (315, 408)
(5, 0, 2, (1, 0, 1), 3): (294, 347)
(5, 0, 2, (1, 0, 1), 4): (221, 249)
(5, 0, 2, (1, 0, 1), 5): (134, 141)
(5, 0, 2, (1, 0, 1), 6): (77, 79)
(5, 0, 2, (1, 0, 1), 7): (68, 71)
(5, 0, 2, (1, 0, 1), 8): (33, 33)
(5, 0, 2, (1, 0, 1), 9): (23, 23)
(5, 0, 2, (1, 0, 1), 10): (14, 15)
(5, 0, 2, (1, 0, 1), 11): (9, 9)
(5, 0, 2, (1, 0, 1), 12): (1, 1)
(5, 0, 2, (1, 0, 1), 14): (1, 1)
(5, 0, 2, (1, 0, 1), 15): (1, 1)
(5, 0, 2, (1, 0, 1), 18): (1, 1)
(5, 0, 2, (1, 1, 0), -17): (0, 1)
(5, 0, 2, (1, 1, 0), -13): (0, 1)
(5, 0, 2, (1, 1, 0), -12): (0, 1)
(5, 0, 2, (1, 1, 0), -11): (0, 5)
(5, 0, 2, (1, 1, 0), -10): (0, 7)
(5, 0, 2, (1, 1, 0), -9): (0, 18)
(5, 0, 2, (1, 1, 0), -8): (1, 29)
(5, 0, 2, (1, 1, 0), -7): (2, 67)
(5, 0, 2, (1, 1, 0), -6): (8, 113)
(5, 0, 2, (1, 1, 0), -5): (12, 178)
(5, 0, 2, (1, 1, 0), -4): (27, 290)
(5, 0, 2, (1, 1, 0), -3): (58, 451)
(5, 0, 2, (1, 1, 0), -2): (136, 612)
(5, 0, 2, (1, 1, 0), -1): (274, 868)
(5, 0, 2, (1, 1, 0), 0): (591, 1222)
(5, 0, 2, (1, 1, 0), 1): (668, 1062)
(5, 0, 2, (1, 1, 0), 2): (650, 876)
(5, 0, 2, (1, 1, 0), 3): (572, 663)
(5, 0, 2, (1, 1, 0), 4): (425, 478)
(5, 0, 2, (1, 1, 0), 5): (303, 319)
(5, 0, 2, (1, 1, 0), 6): (177, 185)
(5, 0, 2, (1, 1, 0), 7): (101, 105)
(5, 0, 2, (1, 1, 0), 8): (69, 70)
(5, 0, 2, (1, 1, 0), 9): (42, 42)
(5, 0, 2, (1, 1, 0), 10): (36, 36)
(5, 0, 2, (1, 1, 0), 11): (13, 13)
(5, 0, 2, (1, 1, 0), 12): (12, 12)
(5, 0, 2, (1, 1, 0), 13): (6, 6)
(5, 0, 2, (1, 1, 0), 14): (1, 1)
(5, 0, 2, (1, 1, 0), 16): (1, 1)
(5, 0, 2, (1, 1, 0), 17): (2, 2)
(5, 0, 2, (1, 1, 1), -15): (0, 1)
(5, 0, 2, (1, 1, 1), -10): (0, 4)
(5, 0, 2, (1, 1, 1), -9): (0, 3)
(5, 0, 2, (1, 1, 1), -8): (0, 6)
(5, 0, 2, (1, 1, 1), -7): (0, 11)
(5, 0, 2, (1, 1, 1), -6): (2, 19)
(5, 0, 2, (1, 1, 1), -5): (1, 49)
(5, 0, 2, (1, 1, 1), -4): (5, 69)
(5, 0, 2, (1, 1, 1), -3): (20, 113)
(5, 0, 2, (1, 1, 1), -2): (44, 168)
(5, 0, 2, (1, 1, 1), -1): (87, 232)
(5, 0, 2, (1, 1, 1), 0): (191, 357)
(5, 0, 2, (1, 1, 1), 1): (212, 317)
(5, 0, 2, (1, 1, 1), 2): (218, 297)
(5, 0, 2, (1, 1, 1), 3): (211, 245)
(5, 0, 2, (1, 1, 1), 4): (169, 180)
(5, 0, 2, (1, 1, 1), 5): (98, 103)
(5, 0, 2, (1, 1, 1), 6): (58, 61)
(5, 0, 2, (1, 1, 1), 7): (45, 45)
(5, 0, 2, (1, 1, 1), 8): (23, 25)
(5, 0, 2, (1, 1, 1), 9): (17, 17)
(5, 0, 2, (1, 1, 1), 10): (12, 12)
(5, 0, 2, (1, 1, 1), 11): (4, 4)
(5, 0, 2, (1, 1, 1), 12): (3, 3)
(5, 0, 2, (1, 1, 1), 13): (1, 1)
(5, 1, 0, (0, 0, 0), -19): (0, 1)
(5, 1, 0, (0, 0, 0), -18): (0, 1)
(5, 1, 0, (0, 0, 0), -17): (0, 1)
(5, 1, 0, (0, 0, 0), -16): (0, 5)
(5, 1, 0, (0, 0, 0), -15): (0, 7)
(5, 1, 0, (0, 0, 0), -14): (0, 8)
(5, 1, 0, (0, 0, 0), -13): (0, 29)
(5, 1, 0, (0, 0, 0), -12): (1, 41)
(5, 1, 0, (0, 0, 0), -11): (0, 59)
(5, 1, 0, (0, 0, 0), -10): (1, 128)
(5, 1, 0, (0, 0, 0), -9): (3, 213)
(5, 1, 0, (0, 0, 0), -8): (7, 400)
(5, 1, 0, (0, 0, 0), -7): (20, 700)
(5, 1, 0, (0, 0, 0), -6): (56, 1159)
(5, 1, 0, (0, 0, 0), -5): (147, 1867)
(5, 1, 0, (0, 0, 0), -4): (343, 2961)
(5, 1, 0, (0, 0, 0), -3): (829, 4317)
(5, 1, 0, (0, 0, 0), -2): (1828, 6363)
(5, 1, 0, (0, 0, 0), -1): (3456, 8316)
(5, 1, 0, (0, 0, 0), 0): (6012, 10189)
(5, 1, 0, (0, 0, 0), 1): (6044, 8156)
(5, 1, 0, (0, 0, 0), 2): (4801, 5687)
(5, 1, 0, (0, 0, 0), 3): (3470, 3820)
(5, 1, 0, (0, 0, 0), 4): (2351, 2485)
(5, 1, 0, (0, 0, 0), 5): (1438, 1494)
(5, 1, 0, (0, 0, 0), 6): (926, 945)
(5, 1, 0, (0, 0, 0), 7): (555, 561)
(5, 1, 0, (0, 0, 0), 8): (301, 303)
(5, 1, 0, (0, 0, 0), 9): (178, 180)
(5, 1, 0, (0, 0, 0), 10): (103, 103)
(5, 1, 0, (0, 0, 0), 11): (54, 54)
(5, 1, 0, (0, 0, 0), 12): (26, 26)
(5, 1, 0, (0, 0, 0), 13): (11, 11)
(5, 1, 0, (0, 0, 0), 14): (5, 5)
(5, 1, 0, (0, 0, 0), 15): (4, 4)
(5, 1, 0, (0, 0, 1), -13): (0, 1)
(5, 1, 0, (0, 0, 1), -10): (0, 2)
(5, 1, 0, (0, 0, 1), -9): (0, 4)
(5, 1, 0, (0, 0, 1), -8): (0, 5)
(5, 1, 0, (0, 0, 1), -7): (0, 9)
(5, 1, 0, (0, 0, 1), -6): (1, 7)
(5, 1, 0, (0, 0, 1), -5): (2, 12)
(5, 1, 0, (0, 0, 1), -4): (5, 23)
(5, 1, 0, (0, 0, 1), -3): (14, 54)
(5, 1, 0, (0, 0, 1), -2): (29, 72)
(5, 1, 0, (0, 0, 1), -1): (65, 114)
(5, 1, 0, (0, 0, 1), 0): (116, 159)
(5, 1, 0, (0, 0, 1), 1): (126, 158)
(5, 1, 0, (0, 0, 1), 2): (91, 99)
(5, 1, 0, (0, 0, 1), 3): (97, 100)
(5, 1, 0, (0, 0, 1), 4): (47, 47)
(5, 1, 0, (0, 0, 1), 5): (27, 28)
(5, 1, 0, (0, 0, 1), 6): (25, 26)
(5, 1, 0, (0, 0, 1), 7): (12, 12)
(5, 1, 0, (0, 0, 1), 8): (6, 6)
(5, 1, 0, (0, 0, 1), 9): (1, 1)
(5, 1, 0, (0, 0, 1), 10): (2, 2)
(5, 1, 0, (0, 0, 1), 12): (1, 1)
(5, 1, 0, (0, 1, 0), -15): (0, 1)
(5, 1, 0, (0, 1, 0), -14): (0, 2)
(5, 1, 0, (0, 1, 0), -13): (0, 1)
(5, 1, 0, (0, 1, 0), -12): (0, 4)
(5, 1, 0, (0, 1, 0), -11): (0, 6)
(5, 1, 0, (0, 1, 0), -10): (0, 7)
(5, 1, 0, (0, 1, 0), -9): (0, 10)
(5, 1, 0, (0, 1, 0), -8): (2, 24)
(5, 1, 0, (0, 1, 0), -7): (1, 39)
(5, 1, 0, (0, 1, 0), -6): (5, 74)
(5, 1, 0, (0, 1, 0), -5): (12, 112)
(5, 1, 0, (0, 1, 0), -4): (37, 184)
(5, 1, 0, (0, 1, 0), -3): (73, 275)
(5, 1, 0, (0, 1, 0), -2): (160, 454)
(5, 1, 0, (0, 1, 0), -1): (297, 603)
(5, 1, 0, (0, 1, 0), 0): (527, 778)
(5, 1, 0, (0, 1, 0), 1): (536, 671)
(5, 1, 0, (0, 1, 0), 2): (465, 522)
(5, 1, 0, (0, 1, 0), 3): (350, 373)
(5, 1, 0, (0, 1, 0), 4): (223, 234)
(5, 1, 0, (0, 1, 0), 5): (140, 143)
(5, 1, 0, (0, 1, 0), 6): (96, 96)
(5, 1, 0, (0, 1, 0), 7): (38, 38)
(5, 1, 0, (0, 1, 0), 8): (29, 29)
(5, 1, 0, (0, 1, 0), 9): (14, 14)
(5, 1, 0, (0, 1, 0), 10): (6, 6)
(5, 1, 0, (0, 1, 0), 11): (7, 7)
(5, 1, 0, (0, 1, 0), 12): (6, 6)
(5, 1, 0, (0, 1, 0), 13): (1, 1)
(5, 1, 0, (0, 1, 1), -12): (0, 2)
(5, 1, 0, (0, 1, 1), -10): (0, 1)
(5, 1, 0, (0, 1, 1), -9): (0, 1)
(5, 1, 0, (0, 1, 1), -8): (0, 8)
(5, 1, 0, (0, 1, 1), -7): (1, 9)
(5, 1, 0, (0, 1, 1), -6): (1, 12)
(5, 1, 0, (0, 1, 1), -5): (7, 28)
(5, 1, 0, (0, 1, 1), -4): (11, 41)
(5, 1, 0, (0, 1, 1), -3): (26, 52)
(5, 1, 0, (0, 1, 1), -2): (35, 73)
(5, 1, 0, (0, 1, 1), -1): (65, 101)
(5, 1, 0, (0, 1, 1), 0): (118, 145)
(5, 1, 0, (0, 1, 1), 1): (96, 111)
(5, 1, 0, (0, 1, 1), 2): (81, 88)
(5, 1, 0, (0, 1, 1), 3): (85, 88)
(5, 1, 0, (0, 1, 1), 4): (74, 74)
(5, 1, 0, (0, 1, 1), 5): (43, 44)
(5, 1, 0, (0, 1, 1), 6): (18, 18)
(5, 1, 0, (0, 1, 1), 7): (22, 22)
(5, 1, 0, (0, 1, 1), 8): (7, 7)
(5, 1, 0, (0, 1, 1), 9): (7, 7)
(5, 1, 0, (0, 1, 1), 10): (6, 6)
(5, 1, 0, (0, 1, 1), 11): (2, 2)
(5, 1, 0, (0, 1, 1), 12): (1, 1)
(5, 1, 0, (1, 0, 0), -18): (0, 1)
(5, 1, 0, (1, 0, 0), -16): (0, 1)
(5, 1, 0, (1, 0, 0), -15): (0, 4)
(5, 1, 0, (1, 0, 0), -14): (0, 1)
(5, 1, 0, (1, 0, 0), -13): (0, 6)
(5, 1, 0, (1, 0, 0), -12): (0, 11)
(5, 1, 0, (1, 0, 0), -11): (0, 12)
(5, 1, 0, (1, 0, 0), -10): (1, 30)
(5, 1, 0, (1, 0, 0), -9): (1, 48)
(5, 1, 0, (1, 0, 0), -8): (1, 116)
(5, 1, 0, (1, 0, 0), -7): (9, 172)
(5, 1, 0, (1, 0, 0), -6): (22, 300)
(5, 1, 0, (1, 0, 0), -5): (50, 442)
(5, 1, 0, (1, 0, 0), -4): (108, 718)
(5, 1, 0, (1, 0, 0), -3): (257, 1052)
(5, 1, 0, (1, 0, 0), -2): (540, 1599)
(5, 1, 0, (1, 0, 0), -1): (999, 2077)
(5, 1, 0, (1, 0, 0), 0): (1658, 2608)
(5, 1, 0, (1, 0, 0), 1): (1592, 2073)
(5, 1, 0, (1, 0, 0), 2): (1299, 1484)
(5, 1, 0, (1, 0, 0), 3): (969, 1042)
(5, 1, 0, (1, 0, 0), 4): (649, 677)
(5, 1, 0, (1, 0, 0), 5): (386, 399)
(5, 1, 0, (1, 0, 0), 6): (269, 273)
(5, 1, 0, (1, 0, 0), 7): (166, 168)
(5, 1, 0, (1, 0, 0), 8): (79, 79)
(5, 1, 0, (1, 0, 0), 9): (49, 50)
(5, 1, 0, (1, 0, 0), 10): (28, 28)
(5, 1, 0, (1, 0, 0), 11): (16, 16)
(5, 1, 0, (1, 0, 0), 12): (6, 6)
(5, 1, 0, (1, 0, 0), 13): (1, 1)
(5, 1, 0, (1, 0, 0), 14): (1, 1)
(5, 1, 0, (1, 0, 0), 15): (2, 2)
(5, 1, 0, (1, 0, 1), -12): (0, 1)
(5, 1, 0, (1, 0, 1), -11): (0, 1)
(5, 1, 0, (1, 0, 1), -10): (0, 4)
(5, 1, 0, (1, 0, 1), -9): (0, 4)
(5, 1, 0, (1, 0, 1), -8): (0, 7)
(5, 1, 0, (1, 0, 1), -7): (0, 13)
(5, 1, 0, (1, 0, 1), -6): (2, 15)
(5, 1, 0, (1, 0, 1), -5): (5, 37)
(5, 1, 0, (1, 0, 1), -4): (7, 49)
(5, 1, 0, (1, 0, 1), -3): (29, 84)
(5, 1, 0, (1, 0, 1), -2): (64, 137)
(5, 1, 0, (1, 0, 1), -1): (117, 212)
(5, 1, 0, (1, 0, 1), 0): (166, 235)
(5, 1, 0, (1, 0, 1), 1): (179, 214)
(5, 1, 0, (1, 0, 1), 2): (159, 175)
(5, 1, 0, (1, 0, 1), 3): (130, 139)
(5, 1, 0, (1, 0, 1), 4): (73, 73)
(5, 1, 0, (1, 0, 1), 5): (50, 50)
(5, 1, 0, (1, 0, 1), 6): (34, 35)
(5, 1, 0, (1, 0, 1), 7): (13, 13)
(5, 1, 0, (1, 0, 1), 8): (9, 9)
(5, 1, 0, (1, 0, 1), 9): (4, 4)
(5, 1, 0, (1, 0, 1), 10): (3, 3)
(5, 1, 0, (1, 0, 1), 11): (1, 1)
(5, 1, 0, (1, 0, 1), 12): (2, 2)
(5, 1, 0, (1, 0, 1), 13): (1, 1)
(5, 1, 0, (1, 1, 0), -13): (0, 1)
(5, 1, 0, (1, 1, 0), -12): (0, 3)
(5, 1, 0, (1, 1, 0), -11): (0, 5)
(5, 1, 0, (1, 1, 0), -10): (0, 4)
(5, 1, 0, (1, 1, 0), -9): (0, 13)
(5, 1, 0, (1, 1, 0), -8): (1, 28)
(5, 1, 0, (1, 1, 0), -7): (3, 46)
(5, 1, 0, (1, 1, 0), -6): (11, 81)
(5, 1, 0, (1, 1, 0), -5): (14, 96)
(5, 1, 0, (1, 1, 0), -4): (35, 157)
(5, 1, 0, (1, 1, 0), -3): (91, 281)
(5, 1, 0, (1, 1, 0), -2): (165, 393)
(5, 1, 0, (1, 1, 0), -1): (242, 396)
(5, 1, 0, (1, 1, 0), 0): (375, 531)
(5, 1, 0, (1, 1, 0), 1): (343, 412)
(5, 1, 0, (1, 1, 0), 2): (247, 286)
(5, 1, 0, (1, 1, 0), 3): (226, 235)
(5, 1, 0, (1, 1, 0), 4): (164, 169)
(5, 1, 0, (1, 1, 0), 5): (104, 107)
(5, 1, 0, (1, 1, 0), 6): (85, 85)
(5, 1, 0, (1, 1, 0), 7): (60, 61)
(5, 1, 0, (1, 1, 0), 8): (23, 23)
(5, 1, 0, (1, 1, 0), 9): (17, 18)
(5, 1, 0, (1, 1, 0), 10): (10, 10)
(5, 1, 0, (1, 1, 0), 11): (9, 9)
(5, 1, 0, (1, 1, 0), 12): (5, 5)
(5, 1, 0, (1, 1, 1), -12): (0, 2)
(5, 1, 0, (1, 1, 1), -11): (0, 2)
(5, 1, 0, (1, 1, 1), -10): (0, 2)
(5, 1, 0, (1, 1, 1), -9): (0, 2)
(5, 1, 0, (1, 1, 1), -8): (1, 4)
(5, 1, 0, (1, 1, 1), -7): (1, 10)
(5, 1, 0, (1, 1, 1), -6): (5, 22)
(5, 1, 0, (1, 1, 1), -5): (3, 26)
(5, 1, 0, (1, 1, 1), -4): (11, 28)
(5, 1, 0, (1, 1, 1), -3): (34, 65)
(5, 1, 0, (1, 1, 1), -2): (54, 91)
(5, 1, 0, (1, 1, 1), -1): (73, 102)
(5, 1, 0, (1, 1, 1), 0): (112, 139)
(5, 1, 0, (1, 1, 1), 1): (106, 116)
(5, 1, 0, (1, 1, 1), 2): (89, 97)
(5, 1, 0, (1, 1, 1), 3): (61, 67)
(5, 1, 0, (1, 1, 1), 4): (49, 50)
(5, 1, 0, (1, 1, 1), 5): (31, 32)
(5, 1, 0, (1, 1, 1), 6): (19, 19)
(5, 1, 0, (1, 1, 1), 7): (23, 24)
(5, 1, 0, (1, 1, 1), 8): (8, 8)
(5, 1, 0, (1, 1, 1), 9): (7, 8)
(5, 1, 0, (1, 1, 1), 10): (3, 3)
(5, 1, 0, (1, 1, 1), 11): (1, 1)
(5, 1, 0, (1, 1, 1), 12): (2, 2)
(5, 1, 1, (0, 0, 0), -19): (0, 1)
(5, 1, 1, (0, 0, 0), -17): (0, 1)
(5, 1, 1, (0, 0, 0), -16): (0, 4)
(5, 1, 1, (0, 0, 0), -15): (0, 2)
(5, 1, 1, (0, 0, 0), -14): (0, 6)
(5, 1, 1, (0, 0, 0), -13): (0, 22)
(5, 1, 1, (0, 0, 0), -12): (1, 28)
(5, 1, 1, (0, 0, 0), -11): (0, 40)
(5, 1, 1, (0, 0, 0), -10): (0, 85)
(5, 1, 1, (0, 0, 0), -9): (2, 154)
(5, 1, 1, (0, 0, 0), -8): (4, 263)
(5, 1, 1, (0, 0, 0), -7): (10, 483)
(5, 1, 1, (0, 0, 0), -6): (28, 805)
(5, 1, 1, (0, 0, 0), -5): (85, 1314)
(5, 1, 1, (0, 0, 0), -4): (197, 2059)
(5, 1, 1, (0, 0, 0), -3): (504, 3028)
(5, 1, 1, (0, 0, 0), -2): (1146, 4421)
(5, 1, 1, (0, 0, 0), -1): (2217, 5877)
(5, 1, 1, (0, 0, 0), 0): (3958, 7088)
(5, 1, 1, (0, 0, 0), 1): (4249, 5889)
(5, 1, 1, (0, 0, 0), 2): (3458, 4176)
(5, 1, 1, (0, 0, 0), 3): (2499, 2784)
(5, 1, 1, (0, 0, 0), 4): (1769, 1879)
(5, 1, 1, (0, 0, 0), 5): (1136, 1182)
(5, 1, 1, (0, 0, 0), 6): (668, 684)
(5, 1, 1, (0, 0, 0), 7): (430, 435)
(5, 1, 1, (0, 0, 0), 8): (245, 248)
(5, 1, 1, (0, 0, 0), 9): (146, 147)
(5, 1, 1, (0, 0, 0), 10): (79, 79)
(5, 1, 1, (0, 0, 0), 11): (38, 38)
(5, 1, 1, (0, 0, 0), 12): (20, 20)
(5, 1, 1, (0, 0, 0), 13): (10, 10)
(5, 1, 1, (0, 0, 0), 14): (6, 6)
(5, 1, 1, (0, 0, 0), 15): (4, 4)
(5, 1, 1, (0, 0, 0), 16): (2, 2)
(5, 1, 1, (0, 0, 0), 17): (1, 1)
(5, 1, 1, (0, 0, 1), -14): (0, 1)
(5, 1, 1, (0, 0, 1), -11): (0, 3)
(5, 1, 1, (0, 0, 1), -10): (0, 2)
(5, 1, 1, (0, 0, 1), -9): (0, 7)
(5, 1, 1, (0, 0, 1), -8): (0, 10)
(5, 1, 1, (0, 0, 1), -7): (1, 14)
(5, 1, 1, (0, 0, 1), -6): (0, 28)
(5, 1, 1, (0, 0, 1), -5): (4, 46)
(5, 1, 1, (0, 0, 1), -4): (21, 98)
(5, 1, 1, (0, 0, 1), -3): (34, 152)
(5, 1, 1, (0, 0, 1), -2): (85, 239)
(5, 1, 1, (0, 0, 1), -1): (179, 354)
(5, 1, 1, (0, 0, 1), 0): (350, 522)
(5, 1, 1, (0, 0, 1), 1): (376, 485)
(5, 1, 1, (0, 0, 1), 2): (320, 364)
(5, 1, 1, (0, 0, 1), 3): (288, 310)
(5, 1, 1, (0, 0, 1), 4): (169, 175)
(5, 1, 1, (0, 0, 1), 5): (107, 109)
(5, 1, 1, (0, 0, 1), 6): (65, 66)
(5, 1, 1, (0, 0, 1), 7): (36, 36)
(5, 1, 1, (0, 0, 1), 8): (29, 29)
(5, 1, 1, (0, 0, 1), 9): (10, 10)
(5, 1, 1, (0, 0, 1), 10): (7, 7)
(5, 1, 1, (0, 0, 1), 11): (4, 4)
(5, 1, 1, (0, 0, 1), 12): (3, 3)
(5, 1, 1, (0, 0, 1), 13): (1, 1)
(5, 1, 1, (0, 1, 0), -13): (0, 1)
(5, 1, 1, (0, 1, 0), -12): (0, 6)
(5, 1, 1, (0, 1, 0), -11): (0, 11)
(5, 1, 1, (0, 1, 0), -10): (0, 9)
(5, 1, 1, (0, 1, 0), -9): (1, 17)
(5, 1, 1, (0, 1, 0), -8): (2, 43)
(5, 1, 1, (0, 1, 0), -7): (1, 65)
(5, 1, 1, (0, 1, 0), -6): (10, 117)
(5, 1, 1, (0, 1, 0), -5): (13, 196)
(5, 1, 1, (0, 1, 0), -4): (37, 286)
(5, 1, 1, (0, 1, 0), -3): (88, 473)
(5, 1, 1, (0, 1, 0), -2): (237, 712)
(5, 1, 1, (0, 1, 0), -1): (478, 1084)
(5, 1, 1, (0, 1, 0), 0): (910, 1482)
(5, 1, 1, (0, 1, 0), 1): (1000, 1356)
(5, 1, 1, (0, 1, 0), 2): (876, 1005)
(5, 1, 1, (0, 1, 0), 3): (667, 730)
(5, 1, 1, (0, 1, 0), 4): (429, 445)
(5, 1, 1, (0, 1, 0), 5): (262, 269)
(5, 1, 1, (0, 1, 0), 6): (164, 168)
(5, 1, 1, (0, 1, 0), 7): (95, 97)
(5, 1, 1, (0, 1, 0), 8): (64, 64)
(5, 1, 1, (0, 1, 0), 9): (24, 24)
(5, 1, 1, (0, 1, 0), 10): (12, 12)
(5, 1, 1, (0, 1, 0), 11): (10, 10)
(5, 1, 1, (0, 1, 0), 12): (6, 6)
(5, 1, 1, (0, 1, 0), 13): (2, 2)
(5, 1, 1, (0, 1, 0), 14): (1, 1)
(5, 1, 1, (0, 1, 0), 15): (1, 1)
(5, 1, 1, (0, 1, 1), -13): (0, 2)
(5, 1, 1, (0, 1, 1), -12): (0, 2)
(5, 1, 1, (0, 1, 1), -11): (0, 2)
(5, 1, 1, (0, 1, 1), -10): (0, 1)
(5, 1, 1, (0, 1, 1), -9): (0, 5)
(5, 1, 1, (0, 1, 1), -8): (0, 11)
(5, 1, 1, (0, 1, 1), -7): (1, 12)
(5, 1, 1, (0, 1, 1), -6): (3, 24)
(5, 1, 1, (0, 1, 1), -5): (6, 54)
(5, 1, 1, (0, 1, 1), -4): (16, 72)
(5, 1, 1, (0, 1, 1), -3): (36, 113)
(5, 1, 1, (0, 1, 1), -2): (101, 248)
(5, 1, 1, (0, 1, 1), -1): (137, 247)
(5, 1, 1, (0, 1, 1), 0): (256, 352)
(5, 1, 1, (0, 1, 1), 1): (276, 327)
(5, 1, 1, (0, 1, 1), 2): (228, 256)
(5, 1, 1, (0, 1, 1), 3): (210, 222)
(5, 1, 1, (0, 1, 1), 4): (151, 156)
(5, 1, 1, (0, 1, 1), 5): (110, 112)
(5, 1, 1, (0, 1, 1), 6): (64, 64)
(5, 1, 1, (0, 1, 1), 7): (40, 40)
(5, 1, 1, (0, 1, 1), 8): (20, 20)
(5, 1, 1, (0, 1, 1), 9): (13, 13)
(5, 1, 1, (0, 1, 1), 10): (12, 13)
(5, 1, 1, (0, 1, 1), 11): (3, 3)
(5, 1, 1, (0, 1, 1), 12): (1, 1)
(5, 1, 1, (0, 1, 1), 13): (1, 1)
(5, 1, 1, (0, 1, 1), 14): (1, 1)
(5, 1, 1, (1, 0, 0), -19): (0, 1)
(5, 1, 1, (1, 0, 0), -18): (0, 1)
(5, 1, 1, (1, 0, 0), -16): (0, 2)
(5, 1, 1, (1, 0, 0), -15): (0, 4)
(5, 1, 1, (1, 0, 0), -14): (0, 1)
(5, 1, 1, (1, 0, 0), -13): (0, 13)
(5, 1, 1, (1, 0, 0), -12): (0, 9)
(5, 1, 1, (1, 0, 0), -11): (0, 17)
(5, 1, 1, (1, 0, 0), -10): (0, 44)
(5, 1, 1, (1, 0, 0), -9): (0, 67)
(5, 1, 1, (1, 0, 0), -8): (1, 122)
(5, 1, 1, (1, 0, 0), -7): (8, 199)
(5, 1, 1, (1, 0, 0), -6): (14, 334)
(5, 1, 1, (1, 0, 0), -5): (51, 539)
(5, 1, 1, (1, 0, 0), -4): (109, 857)
(5, 1, 1, (1, 0, 0), -3): (234, 1224)
(5, 1, 1, (1, 0, 0), -2): (526, 1796)
(5, 1, 1, (1, 0, 0), -1): (955, 2320)
(5, 1, 1, (1, 0, 0), 0): (1633, 2797)
(5, 1, 1, (1, 0, 0), 1): (1787, 2385)
(5, 1, 1, (1, 0, 0), 2): (1494, 1781)
(5, 1, 1, (1, 0, 0), 3): (1152, 1262)
(5, 1, 1, (1, 0, 0), 4): (757, 804)
(5, 1, 1, (1, 0, 0), 5): (504, 516)
(5, 1, 1, (1, 0, 0), 6): (326, 334)
(5, 1, 1, (1, 0, 0), 7): (190, 193)
(5, 1, 1, (1, 0, 0), 8): (115, 116)
(5, 1, 1, (1, 0, 0), 9): (86, 88)
(5, 1, 1, (1, 0, 0), 10): (40, 40)
(5, 1, 1, (1, 0, 0), 11): (19, 19)
(5, 1, 1, (1, 0, 0), 12): (9, 9)
(5, 1, 1, (1, 0, 0), 13): (2, 2)
(5, 1, 1, (1, 0, 0), 14): (1, 1)
(5, 1, 1, (1, 0, 0), 15): (3, 3)
(5, 1, 1, (1, 0, 1), -13): (0, 1)
(5, 1, 1, (1, 0, 1), -11): (0, 5)
(5, 1, 1, (1, 0, 1), -10): (0, 4)
(5, 1, 1, (1, 0, 1), -9): (0, 7)
(5, 1, 1, (1, 0, 1), -8): (1, 16)
(5, 1, 1, (1, 0, 1), -7): (2, 35)
(5, 1, 1, (1, 0, 1), -6): (2, 35)
(5, 1, 1, (1, 0, 1), -5): (14, 81)
(5, 1, 1, (1, 0, 1), -4): (19, 116)
(5, 1, 1, (1, 0, 1), -3): (56, 196)
(5, 1, 1, (1, 0, 1), -2): (85, 251)
(5, 1, 1, (1, 0, 1), -1): (177, 376)
(5, 1, 1, (1, 0, 1), 0): (312, 470)
(5, 1, 1, (1, 0, 1), 1): (358, 439)
(5, 1, 1, (1, 0, 1), 2): (344, 380)
(5, 1, 1, (1, 0, 1), 3): (265, 285)
(5, 1, 1, (1, 0, 1), 4): (166, 178)
(5, 1, 1, (1, 0, 1), 5): (122, 124)
(5, 1, 1, (1, 0, 1), 6): (78, 81)
(5, 1, 1, (1, 0, 1), 7): (58, 58)
(5, 1, 1, (1, 0, 1), 8): (32, 32)
(5, 1, 1, (1, 0, 1), 9): (17, 17)
(5, 1, 1, (1, 0, 1), 10): (12, 12)
(5, 1, 1, (1, 0, 1), 11): (8, 8)
(5, 1, 1, (1, 0, 1), 12): (3, 3)
(5, 1, 1, (1, 0, 1), 13): (2, 2)
(5, 1, 1, (1, 1, 0), -15): (0, 1)
(5, 1, 1, (1, 1, 0), -13): (0, 2)
(5, 1, 1, (1, 1, 0), -12): (0, 4)
(5, 1, 1, (1, 1, 0), -11): (0, 6)
(5, 1, 1, (1, 1, 0), -10): (0, 12)
(5, 1, 1, (1, 1, 0), -9): (0, 18)
(5, 1, 1, (1, 1, 0), -8): (0, 40)
(5, 1, 1, (1, 1, 0), -7): (3, 79)
(5, 1, 1, (1, 1, 0), -6): (8, 127)
(5, 1, 1, (1, 1, 0), -5): (22, 177)
(5, 1, 1, (1, 1, 0), -4): (56, 245)
(5, 1, 1, (1, 1, 0), -3): (93, 400)
(5, 1, 1, (1, 1, 0), -2): (223, 592)
(5, 1, 1, (1, 1, 0), -1): (384, 719)
(5, 1, 1, (1, 1, 0), 0): (593, 923)
(5, 1, 1, (1, 1, 0), 1): (671, 861)
(5, 1, 1, (1, 1, 0), 2): (609, 688)
(5, 1, 1, (1, 1, 0), 3): (454, 499)
(5, 1, 1, (1, 1, 0), 4): (343, 355)
(5, 1, 1, (1, 1, 0), 5): (215, 219)
(5, 1, 1, (1, 1, 0), 6): (140, 143)
(5, 1, 1, (1, 1, 0), 7): (79, 80)
(5, 1, 1, (1, 1, 0), 8): (50, 50)
(5, 1, 1, (1, 1, 0), 9): (32, 32)
(5, 1, 1, (1, 1, 0), 10): (13, 13)
(5, 1, 1, (1, 1, 0), 11): (12, 12)
(5, 1, 1, (1, 1, 0), 12): (8, 8)
(5, 1, 1, (1, 1, 0), 13): (5, 5)
(5, 1, 1, (1, 1, 0), 14): (2, 2)
(5, 1, 1, (1, 1, 0), 15): (1, 1)
(5, 1, 1, (1, 1, 1), -12): (0, 2)
(5, 1, 1, (1, 1, 1), -11): (0, 3)
(5, 1, 1, (1, 1, 1), -10): (0, 2)
(5, 1, 1, (1, 1, 1), -9): (0, 1)
(5, 1, 1, (1, 1, 1), -8): (0, 4)
(5, 1, 1, (1, 1, 1), -7): (1, 18)
(5, 1, 1, (1, 1, 1), -6): (4, 28)
(5, 1, 1, (1, 1, 1), -5): (10, 43)
(5, 1, 1, (1, 1, 1), -4): (15, 73)
(5, 1, 1, (1, 1, 1), -3): (40, 107)
(5, 1, 1, (1, 1, 1), -2): (78, 183)
(5, 1, 1, (1, 1, 1), -1): (135, 226)
(5, 1, 1, (1, 1, 1), 0): (239, 329)
(5, 1, 1, (1, 1, 1), 1): (300, 356)
(5, 1, 1, (1, 1, 1), 2): (267, 300)
(5, 1, 1, (1, 1, 1), 3): (231, 252)
(5, 1, 1, (1, 1, 1), 4): (170, 177)
(5, 1, 1, (1, 1, 1), 5): (93, 94)
(5, 1, 1, (1, 1, 1), 6): (54, 54)
(5, 1, 1, (1, 1, 1), 7): (38, 38)
(5, 1, 1, (1, 1, 1), 8): (20, 20)
(5, 1, 1, (1, 1, 1), 9): (15, 15)
(5, 1, 1, (1, 1, 1), 10): (10, 10)
(5, 1, 1, (1, 1, 1), 11): (2, 2)
(5, 1, 1, (1, 1, 1), 12): (5, 5)
(5, 1, 1, (1, 1, 1), 13): (1, 1)
(5, 1, 1, (1, 1, 1), 14): (2, 2)
(5, 1, 1, (1, 1, 1), 15): (1, 1)
(5, 1, 1, (1, 1, 1), 16): (1, 1)
(5, 1, 2, (0, 0, 0), -17): (0, 1)
(5, 1, 2, (0, 0, 0), -16): (0, 3)
(5, 1, 2, (0, 0, 0), -15): (0, 2)
(5, 1, 2, (0, 0, 0), -14): (0, 6)
(5, 1, 2, (0, 0, 0), -13): (0, 15)
(5, 1, 2, (0, 0, 0), -12): (1, 21)
(5, 1, 2, (0, 0, 0), -11): (0, 26)
(5, 1, 2, (0, 0, 0), -10): (0, 56)
(5, 1, 2, (0, 0, 0), -9): (2, 103)
(5, 1, 2, (0, 0, 0), -8): (1, 192)
(5, 1, 2, (0, 0, 0), -7): (6, 365)
(5, 1, 2, (0, 0, 0), -6): (20, 614)
(5, 1, 2, (0, 0, 0), -5): (49, 998)
(5, 1, 2, (0, 0, 0), -4): (129, 1567)
(5, 1, 2, (0, 0, 0), -3): (357, 2325)
(5, 1, 2, (0, 0, 0), -2): (816, 3388)
(5, 1, 2, (0, 0, 0), -1): (1653, 4612)
(5, 1, 2, (0, 0, 0), 0): (3003, 5556)
(5, 1, 2, (0, 0, 0), 1): (3330, 4698)
(5, 1, 2, (0, 0, 0), 2): (2789, 3408)
(5, 1, 2, (0, 0, 0), 3): (2073, 2308)
(5, 1, 2, (0, 0, 0), 4): (1522, 1616)
(5, 1, 2, (0, 0, 0), 5): (1040, 1090)
(5, 1, 2, (0, 0, 0), 6): (600, 612)
(5, 1, 2, (0, 0, 0), 7): (403, 406)
(5, 1, 2, (0, 0, 0), 8): (212, 215)
(5, 1, 2, (0, 0, 0), 9): (122, 122)
(5, 1, 2, (0, 0, 0), 10): (74, 74)
(5, 1, 2, (0, 0, 0), 11): (43, 43)
(5, 1, 2, (0, 0, 0), 12): (20, 20)
(5, 1, 2, (0, 0, 0), 13): (12, 12)
(5, 1, 2, (0, 0, 0), 14): (6, 6)
(5, 1, 2, (0, 0, 0), 15): (3, 3)
(5, 1, 2, (0, 0, 0), 16): (1, 1)
(5, 1, 2, (0, 0, 0), 17): (2, 2)
(5, 1, 2, (0, 0, 0), 18): (1, 1)
(5, 1, 2, (0, 0, 1), -13): (0, 1)
(5, 1, 2, (0, 0, 1), -12): (0, 2)
(5, 1, 2, (0, 0, 1), -11): (0, 7)
(5, 1, 2, (0, 0, 1), -10): (0, 4)
(5, 1, 2, (0, 0, 1), -9): (0, 9)
(5, 1, 2, (0, 0, 1), -8): (0, 18)
(5, 1, 2, (0, 0, 1), -7): (2, 34)
(5, 1, 2, (0, 0, 1), -6): (3, 57)
(5, 1, 2, (0, 0, 1), -5): (4, 86)
(5, 1, 2, (0, 0, 1), -4): (17, 170)
(5, 1, 2, (0, 0, 1), -3): (35, 227)
(5, 1, 2, (0, 0, 1), -2): (113, 358)
(5, 1, 2, (0, 0, 1), -1): (206, 498)
(5, 1, 2, (0, 0, 1), 0): (395, 672)
(5, 1, 2, (0, 0, 1), 1): (482, 681)
(5, 1, 2, (0, 0, 1), 2): (418, 490)
(5, 1, 2, (0, 0, 1), 3): (337, 374)
(5, 1, 2, (0, 0, 1), 4): (212, 224)
(5, 1, 2, (0, 0, 1), 5): (165, 171)
(5, 1, 2, (0, 0, 1), 6): (118, 120)
(5, 1, 2, (0, 0, 1), 7): (68, 68)
(5, 1, 2, (0, 0, 1), 8): (55, 55)
(5, 1, 2, (0, 0, 1), 9): (26, 26)
(5, 1, 2, (0, 0, 1), 10): (11, 11)
(5, 1, 2, (0, 0, 1), 11): (8, 8)
(5, 1, 2, (0, 0, 1), 12): (5, 5)
(5, 1, 2, (0, 0, 1), 13): (3, 3)
(5, 1, 2, (0, 0, 1), 16): (1, 1)
(5, 1, 2, (0, 1, 0), -13): (0, 2)
(5, 1, 2, (0, 1, 0), -12): (0, 3)
(5, 1, 2, (0, 1, 0), -11): (0, 12)
(5, 1, 2, (0, 1, 0), -10): (0, 18)
(5, 1, 2, (0, 1, 0), -9): (1, 20)
(5, 1, 2, (0, 1, 0), -8): (1, 34)
(5, 1, 2, (0, 1, 0), -7): (0, 65)
(5, 1, 2, (0, 1, 0), -6): (11, 118)
(5, 1, 2, (0, 1, 0), -5): (13, 215)
(5, 1, 2, (0, 1, 0), -4): (29, 340)
(5, 1, 2, (0, 1, 0), -3): (81, 554)
(5, 1, 2, (0, 1, 0), -2): (226, 858)
(5, 1, 2, (0, 1, 0), -1): (538, 1363)
(5, 1, 2, (0, 1, 0), 0): (1010, 1777)
(5, 1, 2, (0, 1, 0), 1): (1134, 1550)
(5, 1, 2, (0, 1, 0), 2): (1041, 1241)
(5, 1, 2, (0, 1, 0), 3): (753, 841)
(5, 1, 2, (0, 1, 0), 4): (587, 620)
(5, 1, 2, (0, 1, 0), 5): (420, 431)
(5, 1, 2, (0, 1, 0), 6): (230, 232)
(5, 1, 2, (0, 1, 0), 7): (142, 145)
(5, 1, 2, (0, 1, 0), 8): (90, 91)
(5, 1, 2, (0, 1, 0), 9): (48, 48)
(5, 1, 2, (0, 1, 0), 10): (24, 24)
(5, 1, 2, (0, 1, 0), 11): (15, 15)
(5, 1, 2, (0, 1, 0), 12): (10, 10)
(5, 1, 2, (0, 1, 0), 13): (5, 5)
(5, 1, 2, (0, 1, 0), 14): (4, 4)
(5, 1, 2, (0, 1, 0), 15): (2, 2)
(5, 1, 2, (0, 1, 1), -11): (0, 4)
(5, 1, 2, (0, 1, 1), -10): (0, 2)
(5, 1, 2, (0, 1, 1), -9): (0, 3)
(5, 1, 2, (0, 1, 1), -8): (0, 8)
(5, 1, 2, (0, 1, 1), -7): (1, 17)
(5, 1, 2, (0, 1, 1), -6): (0, 27)
(5, 1, 2, (0, 1, 1), -5): (5, 57)
(5, 1, 2, (0, 1, 1), -4): (8, 68)
(5, 1, 2, (0, 1, 1), -3): (20, 110)
(5, 1, 2, (0, 1, 1), -2): (56, 191)
(5, 1, 2, (0, 1, 1), -1): (104, 236)
(5, 1, 2, (0, 1, 1), 0): (238, 385)
(5, 1, 2, (0, 1, 1), 1): (244, 317)
(5, 1, 2, (0, 1, 1), 2): (241, 283)
(5, 1, 2, (0, 1, 1), 3): (210, 227)
(5, 1, 2, (0, 1, 1), 4): (142, 149)
(5, 1, 2, (0, 1, 1), 5): (118, 120)
(5, 1, 2, (0, 1, 1), 6): (59, 60)
(5, 1, 2, (0, 1, 1), 7): (45, 45)
(5, 1, 2, (0, 1, 1), 8): (22, 22)
(5, 1, 2, (0, 1, 1), 9): (16, 16)
(5, 1, 2, (0, 1, 1), 10): (18, 19)
(5, 1, 2, (0, 1, 1), 11): (9, 9)
(5, 1, 2, (0, 1, 1), 12): (1, 1)
(5, 1, 2, (0, 1, 1), 13): (3, 3)
(5, 1, 2, (1, 0, 0), -18): (0, 1)
(5, 1, 2, (1, 0, 0), -16): (0, 2)
(5, 1, 2, (1, 0, 0), -15): (0, 2)
(5, 1, 2, (1, 0, 0), -14): (0, 1)
(5, 1, 2, (1, 0, 0), -13): (0, 12)
(5, 1, 2, (1, 0, 0), -12): (0, 13)
(5, 1, 2, (1, 0, 0), -11): (0, 17)
(5, 1, 2, (1, 0, 0), -10): (0, 38)
(5, 1, 2, (1, 0, 0), -9): (0, 66)
(5, 1, 2, (1, 0, 0), -8): (1, 107)
(5, 1, 2, (1, 0, 0), -7): (4, 202)
(5, 1, 2, (1, 0, 0), -6): (10, 344)
(5, 1, 2, (1, 0, 0), -5): (32, 535)
(5, 1, 2, (1, 0, 0), -4): (78, 819)
(5, 1, 2, (1, 0, 0), -3): (219, 1240)
(5, 1, 2, (1, 0, 0), -2): (445, 1709)
(5, 1, 2, (1, 0, 0), -1): (846, 2219)
(5, 1, 2, (1, 0, 0), 0): (1496, 2619)
(5, 1, 2, (1, 0, 0), 1): (1733, 2405)
(5, 1, 2, (1, 0, 0), 2): (1500, 1833)
(5, 1, 2, (1, 0, 0), 3): (1237, 1341)
(5, 1, 2, (1, 0, 0), 4): (869, 929)
(5, 1, 2, (1, 0, 0), 5): (581, 605)
(5, 1, 2, (1, 0, 0), 6): (374, 383)
(5, 1, 2, (1, 0, 0), 7): (247, 252)
(5, 1, 2, (1, 0, 0), 8): (157, 158)
(5, 1, 2, (1, 0, 0), 9): (103, 104)
(5, 1, 2, (1, 0, 0), 10): (53, 53)
(5, 1, 2, (1, 0, 0), 11): (34, 34)
(5, 1, 2, (1, 0, 0), 12): (15, 15)
(5, 1, 2, (1, 0, 0), 13): (7, 7)
(5, 1, 2, (1, 0, 0), 14): (2, 2)
(5, 1, 2, (1, 0, 0), 15): (3, 3)
(5, 1, 2, (1, 0, 0), 17): (2, 2)
(5, 1, 2, (1, 0, 0), 18): (1, 1)
(5, 1, 2, (1, 0, 1), -13): (0, 2)
(5, 1, 2, (1, 0, 1), -11): (0, 3)
(5, 1, 2, (1, 0, 1), -10): (0, 10)
(5, 1, 2, (1, 0, 1), -9): (0, 11)
(5, 1, 2, (1, 0, 1), -8): (1, 25)
(5, 1, 2, (1, 0, 1), -7): (0, 33)
(5, 1, 2, (1, 0, 1), -6): (1, 61)
(5, 1, 2, (1, 0, 1), -5): (6, 106)
(5, 1, 2, (1, 0, 1), -4): (12, 120)
(5, 1, 2, (1, 0, 1), -3): (54, 225)
(5, 1, 2, (1, 0, 1), -2): (89, 308)
(5, 1, 2, (1, 0, 1), -1): (190, 452)
(5, 1, 2, (1, 0, 1), 0): (330, 573)
(5, 1, 2, (1, 0, 1), 1): (412, 593)
(5, 1, 2, (1, 0, 1), 2): (387, 454)
(5, 1, 2, (1, 0, 1), 3): (383, 423)
(5, 1, 2, (1, 0, 1), 4): (241, 256)
(5, 1, 2, (1, 0, 1), 5): (157, 163)
(5, 1, 2, (1, 0, 1), 6): (99, 101)
(5, 1, 2, (1, 0, 1), 7): (84, 84)
(5, 1, 2, (1, 0, 1), 8): (45, 46)
(5, 1, 2, (1, 0, 1), 9): (25, 25)
(5, 1, 2, (1, 0, 1), 10): (17, 17)
(5, 1, 2, (1, 0, 1), 11): (14, 14)
(5, 1, 2, (1, 0, 1), 12): (8, 8)
(5, 1, 2, (1, 0, 1), 13): (1, 1)
(5, 1, 2, (1, 0, 1), 14): (1, 1)
(5, 1, 2, (1, 0, 1), 18): (1, 1)
(5, 1, 2, (1, 1, 0), -18): (0, 1)
(5, 1, 2, (1, 1, 0), -15): (0, 1)
(5, 1, 2, (1, 1, 0), -13): (0, 3)
(5, 1, 2, (1, 1, 0), -12): (0, 10)
(5, 1, 2, (1, 1, 0), -11): (0, 11)
(5, 1, 2, (1, 1, 0), -10): (0, 13)
(5, 1, 2, (1, 1, 0), -9): (0, 21)
(5, 1, 2, (1, 1, 0), -8): (0, 39)
(5, 1, 2, (1, 1, 0), -7): (5, 79)
(5, 1, 2, (1, 1, 0), -6): (7, 132)
(5, 1, 2, (1, 1, 0), -5): (17, 210)
(5, 1, 2, (1, 1, 0), -4): (43, 292)
(5, 1, 2, (1, 1, 0), -3): (85, 465)
(5, 1, 2, (1, 1, 0), -2): (205, 648)
(5, 1, 2, (1, 1, 0), -1): (400, 881)
(5, 1, 2, (1, 1, 0), 0): (688, 1190)
(5, 1, 2, (1, 1, 0), 1): (830, 1106)
(5, 1, 2, (1, 1, 0), 2): (800, 945)
(5, 1, 2, (1, 1, 0), 3): (639, 708)
(5, 1, 2, (1, 1, 0), 4): (523, 546)
(5, 1, 2, (1, 1, 0), 5): (342, 354)
(5, 1, 2, (1, 1, 0), 6): (228, 233)
(5, 1, 2, (1, 1, 0), 7): (121, 123)
(5, 1, 2, (1, 1, 0), 8): (84, 85)
(5, 1, 2, (1, 1, 0), 9): (54, 54)
(5, 1, 2, (1, 1, 0), 10): (29, 29)
(5, 1, 2, (1, 1, 0), 11): (21, 21)
(5, 1, 2, (1, 1, 0), 12): (11, 11)
(5, 1, 2, (1, 1, 0), 13): (11, 11)
(5, 1, 2, (1, 1, 0), 14): (2, 2)
(5, 1, 2, (1, 1, 0), 15): (1, 1)
(5, 1, 2, (1, 1, 0), 17): (1, 1)
(5, 1, 2, (1, 1, 0), 18): (1, 1)
(5, 1, 2, (1, 1, 0), 19): (1, 1)
(5, 1, 2, (1, 1, 0), 20): (1, 1)
(5, 1, 2, (1, 1, 1), -13): (0, 1)
(5, 1, 2, (1, 1, 1), -12): (0, 1)
(5, 1, 2, (1, 1, 1), -11): (0, 2)
(5, 1, 2, (1, 1, 1), -10): (0, 5)
(5, 1, 2, (1, 1, 1), -9): (0, 6)
(5, 1, 2, (1, 1, 1), -8): (0, 5)
(5, 1, 2, (1, 1, 1), -7): (1, 16)
(5, 1, 2, (1, 1, 1), -6): (2, 38)
(5, 1, 2, (1, 1, 1), -5): (5, 46)
(5, 1, 2, (1, 1, 1), -4): (9, 72)
(5, 1, 2, (1, 1, 1), -3): (32, 117)
(5, 1, 2, (1, 1, 1), -2): (62, 177)
(5, 1, 2, (1, 1, 1), -1): (139, 271)
(5, 1, 2, (1, 1, 1), 0): (250, 403)
(5, 1, 2, (1, 1, 1), 1): (319, 408)
(5, 1, 2, (1, 1, 1), 2): (316, 352)
(5, 1, 2, (1, 1, 1), 3): (267, 297)
(5, 1, 2, (1, 1, 1), 4): (181, 193)
(5, 1, 2, (1, 1, 1), 5): (125, 127)
(5, 1, 2, (1, 1, 1), 6): (76, 77)
(5, 1, 2, (1, 1, 1), 7): (57, 57)
(5, 1, 2, (1, 1, 1), 8): (31, 31)
(5, 1, 2, (1, 1, 1), 9): (20, 20)
(5, 1, 2, (1, 1, 1), 10): (12, 13)
(5, 1, 2, (1, 1, 1), 11): (5, 5)
(5, 1, 2, (1, 1, 1), 12): (2, 2)
(5, 1, 2, (1, 1, 1), 13): (2, 2)
(5, 1, 2, (1, 1, 1), 14): (3, 3)
(5, 1, 2, (1, 1, 1), 15): (2, 2)
(5, 1, 2, (1, 1, 1), 20): (1, 1)
(6, 0, 0, (0, 0, 0), -20): (0, 1)
(6, 0, 0, (0, 0, 0), -18): (0, 1)
(6, 0, 0, (0, 0, 0), -17): (0, 3)
(6, 0, 0, (0, 0, 0), -16): (0, 2)
(6, 0, 0, (0, 0, 0), -15): (0, 9)
(6, 0, 0, (0, 0, 0), -14): (0, 11)
(6, 0, 0, (0, 0, 0), -13): (0, 29)
(6, 0, 0, (0, 0, 0), -12): (0, 48)
(6, 0, 0, (0, 0, 0), -11): (0, 103)
(6, 0, 0, (0, 0, 0), -10): (1, 169)
(6, 0, 0, (0, 0, 0), -9): (2, 296)
(6, 0, 0, (0, 0, 0), -8): (4, 481)
(6, 0, 0, (0, 0, 0), -7): (10, 841)
(6, 0, 0, (0, 0, 0), -6): (30, 1301)
(6, 0, 0, (0, 0, 0), -5): (90, 2165)
(6, 0, 0, (0, 0, 0), -4): (196, 3146)
(6, 0, 0, (0, 0, 0), -3): (458, 4447)
(6, 0, 0, (0, 0, 0), -2): (1191, 6209)
(6, 0, 0, (0, 0, 0), -1): (2501, 8106)
(6, 0, 0, (0, 0, 0), 0): (4436, 9254)
(6, 0, 0, (0, 0, 0), 1): (5081, 7678)
(6, 0, 0, (0, 0, 0), 2): (4456, 5767)
(6, 0, 0, (0, 0, 0), 3): (3418, 3968)
(6, 0, 0, (0, 0, 0), 4): (2406, 2614)
(6, 0, 0, (0, 0, 0), 5): (1621, 1708)
(6, 0, 0, (0, 0, 0), 6): (1008, 1034)
(6, 0, 0, (0, 0, 0), 7): (587, 600)
(6, 0, 0, (0, 0, 0), 8): (336, 338)
(6, 0, 0, (0, 0, 0), 9): (191, 193)
(6, 0, 0, (0, 0, 0), 10): (105, 105)
(6, 0, 0, (0, 0, 0), 11): (53, 53)
(6, 0, 0, (0, 0, 0), 12): (28, 29)
(6, 0, 0, (0, 0, 0), 13): (27, 27)
(6, 0, 0, (0, 0, 0), 14): (10, 10)
(6, 0, 0, (0, 0, 0), 15): (7, 7)
(6, 0, 0, (0, 0, 0), 16): (5, 5)
(6, 0, 0, (0, 0, 0), 17): (1, 1)
(6, 0, 0, (0, 0, 0), 18): (2, 2)
(6, 0, 0, (0, 0, 0), 19): (2, 2)
(6, 0, 0, (0, 0, 1), -13): (0, 1)
(6, 0, 0, (0, 0, 1), -11): (0, 1)
(6, 0, 0, (0, 0, 1), -10): (0, 1)
(6, 0, 0, (0, 0, 1), -9): (0, 3)
(6, 0, 0, (0, 0, 1), -8): (0, 5)
(6, 0, 0, (0, 0, 1), -7): (0, 9)
(6, 0, 0, (0, 0, 1), -6): (0, 15)
(6, 0, 0, (0, 0, 1), -5): (4, 20)
(6, 0, 0, (0, 0, 1), -4): (4, 37)
(6, 0, 0, (0, 0, 1), -3): (6, 43)
(6, 0, 0, (0, 0, 1), -2): (21, 66)
(6, 0, 0, (0, 0, 1), -1): (43, 86)
(6, 0, 0, (0, 0, 1), 0): (82, 134)
(6, 0, 0, (0, 0, 1), 1): (76, 102)
(6, 0, 0, (0, 0, 1), 2): (73, 92)
(6, 0, 0, (0, 0, 1), 3): (64, 70)
(6, 0, 0, (0, 0, 1), 4): (46, 48)
(6, 0, 0, (0, 0, 1), 5): (27, 27)
(6, 0, 0, (0, 0, 1), 6): (14, 14)
(6, 0, 0, (0, 0, 1), 7): (10, 10)
(6, 0, 0, (0, 0, 1), 8): (7, 7)
(6, 0, 0, (0, 0, 1), 9): (1, 1)
(6, 0, 0, (0, 0, 1), 10): (3, 3)
(6, 0, 0, (0, 0, 1), 11): (1, 1)
(6, 0, 0, (0, 1, 0), -12): (0, 5)
(6, 0, 0, (0, 1, 0), -11): (0, 5)
(6, 0, 0, (0, 1, 0), -10): (0, 12)
(6, 0, 0, (0, 1, 0), -9): (1, 15)
(6, 0, 0, (0, 1, 0), -8): (0, 31)
(6, 0, 0, (0, 1, 0), -7): (0, 60)
(6, 0, 0, (0, 1, 0), -6): (3, 81)
(6, 0, 0, (0, 1, 0), -5): (7, 139)
(6, 0, 0, (0, 1, 0), -4): (27, 210)
(6, 0, 0, (0, 1, 0), -3): (49, 292)
(6, 0, 0, (0, 1, 0), -2): (106, 390)
(6, 0, 0, (0, 1, 0), -1): (219, 533)
(6, 0, 0, (0, 1, 0), 0): (387, 667)
(6, 0, 0, (0, 1, 0), 1): (468, 643)
(6, 0, 0, (0, 1, 0), 2): (379, 469)
(6, 0, 0, (0, 1, 0), 3): (297, 334)
(6, 0, 0, (0, 1, 0), 4): (192, 207)
(6, 0, 0, (0, 1, 0), 5): (132, 144)
(6, 0, 0, (0, 1, 0), 6): (82, 84)
(6, 0, 0, (0, 1, 0), 7): (34, 34)
(6, 0, 0, (0, 1, 0), 8): (23, 23)
(6, 0, 0, (0, 1, 0), 9): (16, 16)
(6, 0, 0, (0, 1, 0), 10): (7, 7)
(6, 0, 0, (0, 1, 0), 11): (7, 7)
(6, 0, 0, (0, 1, 0), 12): (3, 3)
(6, 0, 0, (0, 1, 0), 13): (2, 2)
(6, 0, 0, (0, 1, 0), 14): (2, 2)
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(6, 0, 0, (0, 1, 0), 19): (1, 1)
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(6, 0, 0, (0, 1, 1), -9): (0, 4)
(6, 0, 0, (0, 1, 1), -8): (0, 3)
(6, 0, 0, (0, 1, 1), -7): (0, 11)
(6, 0, 0, (0, 1, 1), -6): (0, 14)
(6, 0, 0, (0, 1, 1), -5): (3, 33)
(6, 0, 0, (0, 1, 1), -4): (5, 41)
(6, 0, 0, (0, 1, 1), -3): (13, 73)
(6, 0, 0, (0, 1, 1), -2): (32, 81)
(6, 0, 0, (0, 1, 1), -1): (56, 110)
(6, 0, 0, (0, 1, 1), 0): (80, 122)
(6, 0, 0, (0, 1, 1), 1): (69, 90)
(6, 0, 0, (0, 1, 1), 2): (88, 99)
(6, 0, 0, (0, 1, 1), 3): (53, 58)
(6, 0, 0, (0, 1, 1), 4): (42, 42)
(6, 0, 0, (0, 1, 1), 5): (25, 26)
(6, 0, 0, (0, 1, 1), 6): (20, 20)
(6, 0, 0, (0, 1, 1), 7): (12, 12)
(6, 0, 0, (0, 1, 1), 8): (7, 7)
(6, 0, 0, (0, 1, 1), 9): (4, 4)
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(6, 0, 0, (1, 0, 0), -18): (0, 1)
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(6, 0, 0, (1, 0, 0), -15): (0, 4)
(6, 0, 0, (1, 0, 0), -14): (0, 2)
(6, 0, 0, (1, 0, 0), -13): (0, 11)
(6, 0, 0, (1, 0, 0), -12): (0, 15)
(6, 0, 0, (1, 0, 0), -11): (0, 35)
(6, 0, 0, (1, 0, 0), -10): (0, 42)
(6, 0, 0, (1, 0, 0), -9): (0, 69)
(6, 0, 0, (1, 0, 0), -8): (2, 118)
(6, 0, 0, (1, 0, 0), -7): (4, 205)
(6, 0, 0, (1, 0, 0), -6): (14, 311)
(6, 0, 0, (1, 0, 0), -5): (31, 560)
(6, 0, 0, (1, 0, 0), -4): (61, 825)
(6, 0, 0, (1, 0, 0), -3): (148, 1110)
(6, 0, 0, (1, 0, 0), -2): (403, 1606)
(6, 0, 0, (1, 0, 0), -1): (767, 2092)
(6, 0, 0, (1, 0, 0), 0): (1169, 2262)
(6, 0, 0, (1, 0, 0), 1): (1395, 1947)
(6, 0, 0, (1, 0, 0), 2): (1135, 1441)
(6, 0, 0, (1, 0, 0), 3): (888, 1019)
(6, 0, 0, (1, 0, 0), 4): (598, 643)
(6, 0, 0, (1, 0, 0), 5): (416, 433)
(6, 0, 0, (1, 0, 0), 6): (277, 285)
(6, 0, 0, (1, 0, 0), 7): (159, 163)
(6, 0, 0, (1, 0, 0), 8): (95, 95)
(6, 0, 0, (1, 0, 0), 9): (46, 46)
(6, 0, 0, (1, 0, 0), 10): (22, 22)
(6, 0, 0, (1, 0, 0), 11): (14, 14)
(6, 0, 0, (1, 0, 0), 12): (9, 9)
(6, 0, 0, (1, 0, 0), 13): (5, 5)
(6, 0, 0, (1, 0, 0), 15): (5, 5)
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(6, 0, 0, (1, 0, 0), 19): (1, 1)
(6, 0, 0, (1, 0, 1), -10): (0, 2)
(6, 0, 0, (1, 0, 1), -9): (0, 1)
(6, 0, 0, (1, 0, 1), -8): (0, 10)
(6, 0, 0, (1, 0, 1), -7): (0, 20)
(6, 0, 0, (1, 0, 1), -6): (3, 30)
(6, 0, 0, (1, 0, 1), -5): (4, 37)
(6, 0, 0, (1, 0, 1), -4): (11, 69)
(6, 0, 0, (1, 0, 1), -3): (15, 83)
(6, 0, 0, (1, 0, 1), -2): (44, 138)
(6, 0, 0, (1, 0, 1), -1): (98, 201)
(6, 0, 0, (1, 0, 1), 0): (142, 207)
(6, 0, 0, (1, 0, 1), 1): (154, 196)
(6, 0, 0, (1, 0, 1), 2): (149, 173)
(6, 0, 0, (1, 0, 1), 3): (97, 108)
(6, 0, 0, (1, 0, 1), 4): (70, 72)
(6, 0, 0, (1, 0, 1), 5): (53, 55)
(6, 0, 0, (1, 0, 1), 6): (26, 26)
(6, 0, 0, (1, 0, 1), 7): (19, 19)
(6, 0, 0, (1, 0, 1), 8): (11, 11)
(6, 0, 0, (1, 0, 1), 9): (11, 11)
(6, 0, 0, (1, 0, 1), 10): (5, 5)
(6, 0, 0, (1, 0, 1), 11): (6, 6)
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(6, 0, 0, (1, 1, 0), -12): (0, 4)
(6, 0, 0, (1, 1, 0), -11): (0, 9)
(6, 0, 0, (1, 1, 0), -10): (0, 10)
(6, 0, 0, (1, 1, 0), -9): (0, 10)
(6, 0, 0, (1, 1, 0), -8): (1, 30)
(6, 0, 0, (1, 1, 0), -7): (2, 45)
(6, 0, 0, (1, 1, 0), -6): (6, 78)
(6, 0, 0, (1, 1, 0), -5): (8, 140)
(6, 0, 0, (1, 1, 0), -4): (20, 199)
(6, 0, 0, (1, 1, 0), -3): (62, 296)
(6, 0, 0, (1, 1, 0), -2): (134, 435)
(6, 0, 0, (1, 1, 0), -1): (194, 437)
(6, 0, 0, (1, 1, 0), 0): (263, 440)
(6, 0, 0, (1, 1, 0), 1): (329, 430)
(6, 0, 0, (1, 1, 0), 2): (258, 320)
(6, 0, 0, (1, 1, 0), 3): (194, 215)
(6, 0, 0, (1, 1, 0), 4): (124, 129)
(6, 0, 0, (1, 1, 0), 5): (100, 104)
(6, 0, 0, (1, 1, 0), 6): (79, 82)
(6, 0, 0, (1, 1, 0), 7): (41, 41)
(6, 0, 0, (1, 1, 0), 8): (34, 34)
(6, 0, 0, (1, 1, 0), 9): (17, 17)
(6, 0, 0, (1, 1, 0), 10): (14, 14)
(6, 0, 0, (1, 1, 0), 11): (4, 4)
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(6, 0, 0, (1, 1, 1), -7): (1, 8)
(6, 0, 0, (1, 1, 1), -6): (3, 16)
(6, 0, 0, (1, 1, 1), -5): (4, 33)
(6, 0, 0, (1, 1, 1), -4): (9, 53)
(6, 0, 0, (1, 1, 1), -3): (14, 55)
(6, 0, 0, (1, 1, 1), -2): (38, 92)
(6, 0, 0, (1, 1, 1), -1): (59, 104)
(6, 0, 0, (1, 1, 1), 0): (74, 107)
(6, 0, 0, (1, 1, 1), 1): (91, 110)
(6, 0, 0, (1, 1, 1), 2): (91, 102)
(6, 0, 0, (1, 1, 1), 3): (53, 58)
(6, 0, 0, (1, 1, 1), 4): (40, 40)
(6, 0, 0, (1, 1, 1), 5): (19, 19)
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(6, 0, 0, (1, 1, 1), 7): (12, 12)
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(6, 0, 1, (0, 0, 0), -13): (0, 16)
(6, 0, 1, (0, 0, 0), -12): (0, 29)
(6, 0, 1, (0, 0, 0), -11): (0, 61)
(6, 0, 1, (0, 0, 0), -10): (1, 114)
(6, 0, 1, (0, 0, 0), -9): (1, 207)
(6, 0, 1, (0, 0, 0), -8): (2, 328)
(6, 0, 1, (0, 0, 0), -7): (5, 584)
(6, 0, 1, (0, 0, 0), -6): (11, 911)
(6, 0, 1, (0, 0, 0), -5): (47, 1469)
(6, 0, 1, (0, 0, 0), -4): (114, 2155)
(6, 0, 1, (0, 0, 0), -3): (266, 3135)
(6, 0, 1, (0, 0, 0), -2): (689, 4366)
(6, 0, 1, (0, 0, 0), -1): (1551, 5728)
(6, 0, 1, (0, 0, 0), 0): (3006, 6650)
(6, 0, 1, (0, 0, 0), 1): (3507, 5534)
(6, 0, 1, (0, 0, 0), 2): (3249, 4277)
(6, 0, 1, (0, 0, 0), 3): (2543, 2969)
(6, 0, 1, (0, 0, 0), 4): (1861, 2032)
(6, 0, 1, (0, 0, 0), 5): (1219, 1293)
(6, 0, 1, (0, 0, 0), 6): (758, 778)
(6, 0, 1, (0, 0, 0), 7): (449, 459)
(6, 0, 1, (0, 0, 0), 8): (268, 270)
(6, 0, 1, (0, 0, 0), 9): (163, 165)
(6, 0, 1, (0, 0, 0), 10): (84, 84)
(6, 0, 1, (0, 0, 0), 11): (51, 51)
(6, 0, 1, (0, 0, 0), 12): (21, 22)
(6, 0, 1, (0, 0, 0), 13): (22, 22)
(6, 0, 1, (0, 0, 0), 14): (11, 11)
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(6, 0, 1, (0, 0, 1), -10): (0, 6)
(6, 0, 1, (0, 0, 1), -9): (0, 9)
(6, 0, 1, (0, 0, 1), -8): (0, 9)
(6, 0, 1, (0, 0, 1), -7): (0, 22)
(6, 0, 1, (0, 0, 1), -6): (0, 26)
(6, 0, 1, (0, 0, 1), -5): (2, 63)
(6, 0, 1, (0, 0, 1), -4): (6, 93)
(6, 0, 1, (0, 0, 1), -3): (21, 143)
(6, 0, 1, (0, 0, 1), -2): (44, 201)
(6, 0, 1, (0, 0, 1), -1): (129, 306)
(6, 0, 1, (0, 0, 1), 0): (258, 447)
(6, 0, 1, (0, 0, 1), 1): (282, 396)
(6, 0, 1, (0, 0, 1), 2): (258, 304)
(6, 0, 1, (0, 0, 1), 3): (211, 233)
(6, 0, 1, (0, 0, 1), 4): (146, 164)
(6, 0, 1, (0, 0, 1), 5): (79, 85)
(6, 0, 1, (0, 0, 1), 6): (61, 62)
(6, 0, 1, (0, 0, 1), 7): (29, 29)
(6, 0, 1, (0, 0, 1), 8): (11, 11)
(6, 0, 1, (0, 0, 1), 9): (9, 9)
(6, 0, 1, (0, 0, 1), 10): (9, 9)
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(6, 0, 1, (0, 1, 0), -11): (0, 6)
(6, 0, 1, (0, 1, 0), -10): (0, 19)
(6, 0, 1, (0, 1, 0), -9): (0, 33)
(6, 0, 1, (0, 1, 0), -8): (0, 52)
(6, 0, 1, (0, 1, 0), -7): (0, 84)
(6, 0, 1, (0, 1, 0), -6): (7, 113)
(6, 0, 1, (0, 1, 0), -5): (4, 182)
(6, 0, 1, (0, 1, 0), -4): (25, 293)
(6, 0, 1, (0, 1, 0), -3): (51, 435)
(6, 0, 1, (0, 1, 0), -2): (132, 613)
(6, 0, 1, (0, 1, 0), -1): (333, 982)
(6, 0, 1, (0, 1, 0), 0): (623, 1269)
(6, 0, 1, (0, 1, 0), 1): (750, 1072)
(6, 0, 1, (0, 1, 0), 2): (690, 869)
(6, 0, 1, (0, 1, 0), 3): (563, 652)
(6, 0, 1, (0, 1, 0), 4): (426, 466)
(6, 0, 1, (0, 1, 0), 5): (270, 284)
(6, 0, 1, (0, 1, 0), 6): (166, 167)
(6, 0, 1, (0, 1, 0), 7): (92, 93)
(6, 0, 1, (0, 1, 0), 8): (65, 65)
(6, 0, 1, (0, 1, 0), 9): (35, 35)
(6, 0, 1, (0, 1, 0), 10): (18, 18)
(6, 0, 1, (0, 1, 0), 11): (13, 13)
(6, 0, 1, (0, 1, 0), 12): (5, 5)
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(6, 0, 1, (0, 1, 0), 19): (1, 1)
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(6, 0, 1, (0, 1, 1), -10): (0, 6)
(6, 0, 1, (0, 1, 1), -9): (0, 8)
(6, 0, 1, (0, 1, 1), -8): (0, 10)
(6, 0, 1, (0, 1, 1), -7): (0, 19)
(6, 0, 1, (0, 1, 1), -6): (1, 32)
(6, 0, 1, (0, 1, 1), -5): (1, 42)
(6, 0, 1, (0, 1, 1), -4): (5, 67)
(6, 0, 1, (0, 1, 1), -3): (18, 124)
(6, 0, 1, (0, 1, 1), -2): (68, 191)
(6, 0, 1, (0, 1, 1), -1): (120, 268)
(6, 0, 1, (0, 1, 1), 0): (187, 322)
(6, 0, 1, (0, 1, 1), 1): (200, 273)
(6, 0, 1, (0, 1, 1), 2): (206, 257)
(6, 0, 1, (0, 1, 1), 3): (186, 217)
(6, 0, 1, (0, 1, 1), 4): (117, 122)
(6, 0, 1, (0, 1, 1), 5): (94, 95)
(6, 0, 1, (0, 1, 1), 6): (55, 55)
(6, 0, 1, (0, 1, 1), 7): (34, 34)
(6, 0, 1, (0, 1, 1), 8): (19, 19)
(6, 0, 1, (0, 1, 1), 9): (16, 16)
(6, 0, 1, (0, 1, 1), 10): (4, 4)
(6, 0, 1, (0, 1, 1), 11): (4, 4)
(6, 0, 1, (0, 1, 1), 12): (2, 2)
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(6, 0, 1, (1, 0, 0), -14): (0, 3)
(6, 0, 1, (1, 0, 0), -13): (0, 8)
(6, 0, 1, (1, 0, 0), -12): (0, 12)
(6, 0, 1, (1, 0, 0), -11): (0, 31)
(6, 0, 1, (1, 0, 0), -10): (0, 49)
(6, 0, 1, (1, 0, 0), -9): (0, 92)
(6, 0, 1, (1, 0, 0), -8): (1, 130)
(6, 0, 1, (1, 0, 0), -7): (4, 222)
(6, 0, 1, (1, 0, 0), -6): (7, 385)
(6, 0, 1, (1, 0, 0), -5): (30, 636)
(6, 0, 1, (1, 0, 0), -4): (66, 972)
(6, 0, 1, (1, 0, 0), -3): (129, 1250)
(6, 0, 1, (1, 0, 0), -2): (381, 1871)
(6, 0, 1, (1, 0, 0), -1): (694, 2284)
(6, 0, 1, (1, 0, 0), 0): (1252, 2608)
(6, 0, 1, (1, 0, 0), 1): (1542, 2304)
(6, 0, 1, (1, 0, 0), 2): (1293, 1680)
(6, 0, 1, (1, 0, 0), 3): (1076, 1225)
(6, 0, 1, (1, 0, 0), 4): (762, 824)
(6, 0, 1, (1, 0, 0), 5): (533, 565)
(6, 0, 1, (1, 0, 0), 6): (346, 359)
(6, 0, 1, (1, 0, 0), 7): (218, 225)
(6, 0, 1, (1, 0, 0), 8): (116, 117)
(6, 0, 1, (1, 0, 0), 9): (79, 79)
(6, 0, 1, (1, 0, 0), 10): (27, 27)
(6, 0, 1, (1, 0, 0), 11): (20, 20)
(6, 0, 1, (1, 0, 0), 12): (11, 11)
(6, 0, 1, (1, 0, 0), 13): (7, 7)
(6, 0, 1, (1, 0, 0), 15): (4, 4)
(6, 0, 1, (1, 0, 0), 16): (5, 5)
(6, 0, 1, (1, 0, 0), 19): (2, 2)
(6, 0, 1, (1, 0, 0), 20): (1, 1)
(6, 0, 1, (1, 0, 1), -12): (0, 2)
(6, 0, 1, (1, 0, 1), -11): (0, 6)
(6, 0, 1, (1, 0, 1), -10): (0, 12)
(6, 0, 1, (1, 0, 1), -9): (0, 8)
(6, 0, 1, (1, 0, 1), -8): (0, 17)
(6, 0, 1, (1, 0, 1), -7): (1, 36)
(6, 0, 1, (1, 0, 1), -6): (2, 48)
(6, 0, 1, (1, 0, 1), -5): (6, 87)
(6, 0, 1, (1, 0, 1), -4): (14, 149)
(6, 0, 1, (1, 0, 1), -3): (32, 190)
(6, 0, 1, (1, 0, 1), -2): (71, 253)
(6, 0, 1, (1, 0, 1), -1): (133, 328)
(6, 0, 1, (1, 0, 1), 0): (247, 419)
(6, 0, 1, (1, 0, 1), 1): (313, 431)
(6, 0, 1, (1, 0, 1), 2): (287, 353)
(6, 0, 1, (1, 0, 1), 3): (227, 251)
(6, 0, 1, (1, 0, 1), 4): (169, 185)
(6, 0, 1, (1, 0, 1), 5): (109, 112)
(6, 0, 1, (1, 0, 1), 6): (78, 79)
(6, 0, 1, (1, 0, 1), 7): (46, 46)
(6, 0, 1, (1, 0, 1), 8): (29, 29)
(6, 0, 1, (1, 0, 1), 9): (23, 23)
(6, 0, 1, (1, 0, 1), 10): (8, 8)
(6, 0, 1, (1, 0, 1), 11): (4, 4)
(6, 0, 1, (1, 0, 1), 12): (6, 6)
(6, 0, 1, (1, 0, 1), 13): (3, 3)
(6, 0, 1, (1, 0, 1), 15): (1, 1)
(6, 0, 1, (1, 1, 0), -15): (0, 1)
(6, 0, 1, (1, 1, 0), -14): (0, 1)
(6, 0, 1, (1, 1, 0), -13): (0, 2)
(6, 0, 1, (1, 1, 0), -12): (0, 4)
(6, 0, 1, (1, 1, 0), -11): (0, 15)
(6, 0, 1, (1, 1, 0), -10): (0, 16)
(6, 0, 1, (1, 1, 0), -9): (0, 24)
(6, 0, 1, (1, 1, 0), -8): (1, 41)
(6, 0, 1, (1, 1, 0), -7): (3, 77)
(6, 0, 1, (1, 1, 0), -6): (3, 112)
(6, 0, 1, (1, 1, 0), -5): (12, 197)
(6, 0, 1, (1, 1, 0), -4): (31, 301)
(6, 0, 1, (1, 1, 0), -3): (60, 459)
(6, 0, 1, (1, 1, 0), -2): (154, 628)
(6, 0, 1, (1, 1, 0), -1): (269, 707)
(6, 0, 1, (1, 1, 0), 0): (423, 852)
(6, 0, 1, (1, 1, 0), 1): (554, 796)
(6, 0, 1, (1, 1, 0), 2): (477, 602)
(6, 0, 1, (1, 1, 0), 3): (396, 448)
(6, 0, 1, (1, 1, 0), 4): (298, 316)
(6, 0, 1, (1, 1, 0), 5): (190, 198)
(6, 0, 1, (1, 1, 0), 6): (156, 163)
(6, 0, 1, (1, 1, 0), 7): (104, 105)
(6, 0, 1, (1, 1, 0), 8): (69, 69)
(6, 0, 1, (1, 1, 0), 9): (29, 29)
(6, 0, 1, (1, 1, 0), 10): (25, 25)
(6, 0, 1, (1, 1, 0), 11): (14, 14)
(6, 0, 1, (1, 1, 0), 12): (8, 8)
(6, 0, 1, (1, 1, 0), 13): (1, 1)
(6, 0, 1, (1, 1, 0), 16): (2, 2)
(6, 0, 1, (1, 1, 0), 20): (1, 1)
(6, 0, 1, (1, 1, 1), -14): (0, 1)
(6, 0, 1, (1, 1, 1), -12): (0, 2)
(6, 0, 1, (1, 1, 1), -11): (0, 2)
(6, 0, 1, (1, 1, 1), -10): (0, 3)
(6, 0, 1, (1, 1, 1), -9): (0, 3)
(6, 0, 1, (1, 1, 1), -8): (0, 5)
(6, 0, 1, (1, 1, 1), -7): (1, 22)
(6, 0, 1, (1, 1, 1), -6): (3, 34)
(6, 0, 1, (1, 1, 1), -5): (5, 50)
(6, 0, 1, (1, 1, 1), -4): (10, 79)
(6, 0, 1, (1, 1, 1), -3): (30, 127)
(6, 0, 1, (1, 1, 1), -2): (52, 181)
(6, 0, 1, (1, 1, 1), -1): (105, 247)
(6, 0, 1, (1, 1, 1), 0): (182, 320)
(6, 0, 1, (1, 1, 1), 1): (250, 338)
(6, 0, 1, (1, 1, 1), 2): (249, 293)
(6, 0, 1, (1, 1, 1), 3): (194, 215)
(6, 0, 1, (1, 1, 1), 4): (134, 139)
(6, 0, 1, (1, 1, 1), 5): (87, 88)
(6, 0, 1, (1, 1, 1), 6): (74, 75)
(6, 0, 1, (1, 1, 1), 7): (37, 37)
(6, 0, 1, (1, 1, 1), 8): (35, 35)
(6, 0, 1, (1, 1, 1), 9): (18, 18)
(6, 0, 1, (1, 1, 1), 10): (9, 9)
(6, 0, 1, (1, 1, 1), 11): (3, 3)
(6, 0, 1, (1, 1, 1), 12): (3, 3)
(6, 0, 1, (1, 1, 1), 16): (1, 1)
(6, 0, 2, (0, 0, 0), -20): (0, 1)
(6, 0, 2, (0, 0, 0), -18): (0, 1)
(6, 0, 2, (0, 0, 0), -17): (0, 2)
(6, 0, 2, (0, 0, 0), -15): (0, 4)
(6, 0, 2, (0, 0, 0), -14): (0, 6)
(6, 0, 2, (0, 0, 0), -13): (0, 16)
(6, 0, 2, (0, 0, 0), -12): (0, 21)
(6, 0, 2, (0, 0, 0), -11): (0, 57)
(6, 0, 2, (0, 0, 0), -10): (1, 86)
(6, 0, 2, (0, 0, 0), -9): (1, 151)
(6, 0, 2, (0, 0, 0), -8): (1, 251)
(6, 0, 2, (0, 0, 0), -7): (3, 464)
(6, 0, 2, (0, 0, 0), -6): (2, 671)
(6, 0, 2, (0, 0, 0), -5): (32, 1118)
(6, 0, 2, (0, 0, 0), -4): (61, 1609)
(6, 0, 2, (0, 0, 0), -3): (181, 2423)
(6, 0, 2, (0, 0, 0), -2): (444, 3313)
(6, 0, 2, (0, 0, 0), -1): (1106, 4464)
(6, 0, 2, (0, 0, 0), 0): (2201, 5119)
(6, 0, 2, (0, 0, 0), 1): (2722, 4412)
(6, 0, 2, (0, 0, 0), 2): (2593, 3500)
(6, 0, 2, (0, 0, 0), 3): (2122, 2498)
(6, 0, 2, (0, 0, 0), 4): (1564, 1709)
(6, 0, 2, (0, 0, 0), 5): (1074, 1130)
(6, 0, 2, (0, 0, 0), 6): (658, 681)
(6, 0, 2, (0, 0, 0), 7): (395, 403)
(6, 0, 2, (0, 0, 0), 8): (246, 247)
(6, 0, 2, (0, 0, 0), 9): (137, 139)
(6, 0, 2, (0, 0, 0), 10): (93, 93)
(6, 0, 2, (0, 0, 0), 11): (63, 63)
(6, 0, 2, (0, 0, 0), 12): (27, 28)
(6, 0, 2, (0, 0, 0), 13): (20, 20)
(6, 0, 2, (0, 0, 0), 14): (13, 13)
(6, 0, 2, (0, 0, 0), 15): (5, 5)
(6, 0, 2, (0, 0, 0), 16): (3, 3)
(6, 0, 2, (0, 0, 0), 18): (1, 1)
(6, 0, 2, (0, 0, 0), 21): (1, 1)
(6, 0, 2, (0, 0, 1), -15): (0, 3)
(6, 0, 2, (0, 0, 1), -14): (0, 1)
(6, 0, 2, (0, 0, 1), -12): (0, 3)
(6, 0, 2, (0, 0, 1), -10): (0, 6)
(6, 0, 2, (0, 0, 1), -9): (0, 13)
(6, 0, 2, (0, 0, 1), -8): (0, 20)
(6, 0, 2, (0, 0, 1), -7): (0, 41)
(6, 0, 2, (0, 0, 1), -6): (0, 55)
(6, 0, 2, (0, 0, 1), -5): (3, 97)
(6, 0, 2, (0, 0, 1), -4): (6, 141)
(6, 0, 2, (0, 0, 1), -3): (21, 206)
(6, 0, 2, (0, 0, 1), -2): (58, 329)
(6, 0, 2, (0, 0, 1), -1): (136, 454)
(6, 0, 2, (0, 0, 1), 0): (275, 608)
(6, 0, 2, (0, 0, 1), 1): (343, 545)
(6, 0, 2, (0, 0, 1), 2): (314, 407)
(6, 0, 2, (0, 0, 1), 3): (299, 342)
(6, 0, 2, (0, 0, 1), 4): (238, 265)
(6, 0, 2, (0, 0, 1), 5): (165, 179)
(6, 0, 2, (0, 0, 1), 6): (89, 91)
(6, 0, 2, (0, 0, 1), 7): (44, 44)
(6, 0, 2, (0, 0, 1), 8): (42, 42)
(6, 0, 2, (0, 0, 1), 9): (15, 15)
(6, 0, 2, (0, 0, 1), 10): (12, 12)
(6, 0, 2, (0, 0, 1), 11): (8, 8)
(6, 0, 2, (0, 0, 1), 12): (5, 5)
(6, 0, 2, (0, 0, 1), 13): (2, 2)
(6, 0, 2, (0, 0, 1), 14): (3, 3)
(6, 0, 2, (0, 1, 0), -15): (0, 1)
(6, 0, 2, (0, 1, 0), -14): (0, 2)
(6, 0, 2, (0, 1, 0), -13): (0, 3)
(6, 0, 2, (0, 1, 0), -12): (0, 6)
(6, 0, 2, (0, 1, 0), -11): (0, 8)
(6, 0, 2, (0, 1, 0), -10): (0, 13)
(6, 0, 2, (0, 1, 0), -9): (0, 35)
(6, 0, 2, (0, 1, 0), -8): (0, 51)
(6, 0, 2, (0, 1, 0), -7): (0, 71)
(6, 0, 2, (0, 1, 0), -6): (4, 135)
(6, 0, 2, (0, 1, 0), -5): (7, 233)
(6, 0, 2, (0, 1, 0), -4): (12, 342)
(6, 0, 2, (0, 1, 0), -3): (44, 507)
(6, 0, 2, (0, 1, 0), -2): (105, 759)
(6, 0, 2, (0, 1, 0), -1): (316, 1145)
(6, 0, 2, (0, 1, 0), 0): (650, 1438)
(6, 0, 2, (0, 1, 0), 1): (851, 1277)
(6, 0, 2, (0, 1, 0), 2): (885, 1160)
(6, 0, 2, (0, 1, 0), 3): (729, 863)
(6, 0, 2, (0, 1, 0), 4): (581, 628)
(6, 0, 2, (0, 1, 0), 5): (398, 417)
(6, 0, 2, (0, 1, 0), 6): (211, 216)
(6, 0, 2, (0, 1, 0), 7): (123, 126)
(6, 0, 2, (0, 1, 0), 8): (76, 77)
(6, 0, 2, (0, 1, 0), 9): (53, 54)
(6, 0, 2, (0, 1, 0), 10): (29, 29)
(6, 0, 2, (0, 1, 0), 11): (19, 19)
(6, 0, 2, (0, 1, 0), 12): (7, 7)
(6, 0, 2, (0, 1, 0), 13): (9, 9)
(6, 0, 2, (0, 1, 0), 14): (3, 3)
(6, 0, 2, (0, 1, 0), 15): (2, 2)
(6, 0, 2, (0, 1, 0), 16): (3, 3)
(6, 0, 2, (0, 1, 1), -12): (0, 1)
(6, 0, 2, (0, 1, 1), -11): (0, 3)
(6, 0, 2, (0, 1, 1), -10): (0, 4)
(6, 0, 2, (0, 1, 1), -9): (0, 7)
(6, 0, 2, (0, 1, 1), -8): (0, 10)
(6, 0, 2, (0, 1, 1), -7): (0, 15)
(6, 0, 2, (0, 1, 1), -6): (1, 29)
(6, 0, 2, (0, 1, 1), -5): (1, 53)
(6, 0, 2, (0, 1, 1), -4): (5, 96)
(6, 0, 2, (0, 1, 1), -3): (14, 114)
(6, 0, 2, (0, 1, 1), -2): (45, 181)
(6, 0, 2, (0, 1, 1), -1): (79, 258)
(6, 0, 2, (0, 1, 1), 0): (146, 277)
(6, 0, 2, (0, 1, 1), 1): (192, 282)
(6, 0, 2, (0, 1, 1), 2): (208, 272)
(6, 0, 2, (0, 1, 1), 3): (190, 227)
(6, 0, 2, (0, 1, 1), 4): (134, 145)
(6, 0, 2, (0, 1, 1), 5): (113, 121)
(6, 0, 2, (0, 1, 1), 6): (64, 66)
(6, 0, 2, (0, 1, 1), 7): (44, 44)
(6, 0, 2, (0, 1, 1), 8): (25, 25)
(6, 0, 2, (0, 1, 1), 9): (18, 18)
(6, 0, 2, (0, 1, 1), 10): (7, 7)
(6, 0, 2, (0, 1, 1), 11): (5, 5)
(6, 0, 2, (0, 1, 1), 12): (3, 3)
(6, 0, 2, (0, 1, 1), 13): (3, 3)
(6, 0, 2, (0, 1, 1), 14): (1, 1)
(6, 0, 2, (0, 1, 1), 18): (1, 1)
(6, 0, 2, (1, 0, 0), -18): (0, 1)
(6, 0, 2, (1, 0, 0), -17): (0, 1)
(6, 0, 2, (1, 0, 0), -16): (0, 1)
(6, 0, 2, (1, 0, 0), -14): (0, 1)
(6, 0, 2, (1, 0, 0), -13): (0, 9)
(6, 0, 2, (1, 0, 0), -12): (0, 13)
(6, 0, 2, (1, 0, 0), -11): (0, 34)
(6, 0, 2, (1, 0, 0), -10): (0, 47)
(6, 0, 2, (1, 0, 0), -9): (0, 88)
(6, 0, 2, (1, 0, 0), -8): (0, 117)
(6, 0, 2, (1, 0, 0), -7): (2, 222)
(6, 0, 2, (1, 0, 0), -6): (4, 371)
(6, 0, 2, (1, 0, 0), -5): (17, 605)
(6, 0, 2, (1, 0, 0), -4): (46, 888)
(6, 0, 2, (1, 0, 0), -3): (102, 1247)
(6, 0, 2, (1, 0, 0), -2): (272, 1679)
(6, 0, 2, (1, 0, 0), -1): (601, 2246)
(6, 0, 2, (1, 0, 0), 0): (1145, 2547)
(6, 0, 2, (1, 0, 0), 1): (1435, 2228)
(6, 0, 2, (1, 0, 0), 2): (1309, 1767)
(6, 0, 2, (1, 0, 0), 3): (1141, 1330)
(6, 0, 2, (1, 0, 0), 4): (874, 950)
(6, 0, 2, (1, 0, 0), 5): (590, 629)
(6, 0, 2, (1, 0, 0), 6): (378, 395)
(6, 0, 2, (1, 0, 0), 7): (250, 261)
(6, 0, 2, (1, 0, 0), 8): (146, 148)
(6, 0, 2, (1, 0, 0), 9): (97, 97)
(6, 0, 2, (1, 0, 0), 10): (48, 48)
(6, 0, 2, (1, 0, 0), 11): (36, 36)
(6, 0, 2, (1, 0, 0), 12): (16, 16)
(6, 0, 2, (1, 0, 0), 13): (12, 12)
(6, 0, 2, (1, 0, 0), 14): (4, 4)
(6, 0, 2, (1, 0, 0), 15): (2, 2)
(6, 0, 2, (1, 0, 0), 16): (4, 4)
(6, 0, 2, (1, 0, 0), 18): (1, 1)
(6, 0, 2, (1, 0, 0), 19): (1, 1)
(6, 0, 2, (1, 0, 1), -15): (0, 1)
(6, 0, 2, (1, 0, 1), -13): (0, 1)
(6, 0, 2, (1, 0, 1), -12): (0, 2)
(6, 0, 2, (1, 0, 1), -11): (0, 5)
(6, 0, 2, (1, 0, 1), -10): (0, 4)
(6, 0, 2, (1, 0, 1), -9): (0, 12)
(6, 0, 2, (1, 0, 1), -8): (1, 17)
(6, 0, 2, (1, 0, 1), -7): (2, 41)
(6, 0, 2, (1, 0, 1), -6): (2, 50)
(6, 0, 2, (1, 0, 1), -5): (3, 105)
(6, 0, 2, (1, 0, 1), -4): (12, 173)
(6, 0, 2, (1, 0, 1), -3): (21, 221)
(6, 0, 2, (1, 0, 1), -2): (70, 334)
(6, 0, 2, (1, 0, 1), -1): (129, 438)
(6, 0, 2, (1, 0, 1), 0): (257, 545)
(6, 0, 2, (1, 0, 1), 1): (367, 540)
(6, 0, 2, (1, 0, 1), 2): (336, 441)
(6, 0, 2, (1, 0, 1), 3): (292, 327)
(6, 0, 2, (1, 0, 1), 4): (228, 254)
(6, 0, 2, (1, 0, 1), 5): (170, 180)
(6, 0, 2, (1, 0, 1), 6): (121, 125)
(6, 0, 2, (1, 0, 1), 7): (68, 69)
(6, 0, 2, (1, 0, 1), 8): (45, 46)
(6, 0, 2, (1, 0, 1), 9): (27, 27)
(6, 0, 2, (1, 0, 1), 10): (15, 15)
(6, 0, 2, (1, 0, 1), 11): (11, 11)
(6, 0, 2, (1, 0, 1), 12): (9, 9)
(6, 0, 2, (1, 0, 1), 13): (4, 4)
(6, 0, 2, (1, 0, 1), 14): (3, 3)
(6, 0, 2, (1, 0, 1), 19): (1, 1)
(6, 0, 2, (1, 1, 0), -14): (0, 1)
(6, 0, 2, (1, 1, 0), -13): (0, 2)
(6, 0, 2, (1, 1, 0), -12): (0, 5)
(6, 0, 2, (1, 1, 0), -11): (0, 10)
(6, 0, 2, (1, 1, 0), -10): (0, 23)
(6, 0, 2, (1, 1, 0), -9): (0, 24)
(6, 0, 2, (1, 1, 0), -8): (0, 49)
(6, 0, 2, (1, 1, 0), -7): (2, 77)
(6, 0, 2, (1, 1, 0), -6): (4, 140)
(6, 0, 2, (1, 1, 0), -5): (14, 245)
(6, 0, 2, (1, 1, 0), -4): (32, 342)
(6, 0, 2, (1, 1, 0), -3): (44, 496)
(6, 0, 2, (1, 1, 0), -2): (141, 707)
(6, 0, 2, (1, 1, 0), -1): (276, 885)
(6, 0, 2, (1, 1, 0), 0): (546, 1151)
(6, 0, 2, (1, 1, 0), 1): (697, 1059)
(6, 0, 2, (1, 1, 0), 2): (680, 861)
(6, 0, 2, (1, 1, 0), 3): (550, 648)
(6, 0, 2, (1, 1, 0), 4): (473, 506)
(6, 0, 2, (1, 1, 0), 5): (306, 321)
(6, 0, 2, (1, 1, 0), 6): (211, 217)
(6, 0, 2, (1, 1, 0), 7): (141, 144)
(6, 0, 2, (1, 1, 0), 8): (82, 82)
(6, 0, 2, (1, 1, 0), 9): (60, 60)
(6, 0, 2, (1, 1, 0), 10): (35, 35)
(6, 0, 2, (1, 1, 0), 11): (27, 27)
(6, 0, 2, (1, 1, 0), 12): (9, 9)
(6, 0, 2, (1, 1, 0), 13): (6, 6)
(6, 0, 2, (1, 1, 0), 14): (2, 2)
(6, 0, 2, (1, 1, 0), 16): (3, 3)
(6, 0, 2, (1, 1, 0), 17): (1, 1)
(6, 0, 2, (1, 1, 0), 18): (1, 1)
(6, 0, 2, (1, 1, 0), 20): (2, 2)
(6, 0, 2, (1, 1, 1), -12): (0, 1)
(6, 0, 2, (1, 1, 1), -10): (0, 4)
(6, 0, 2, (1, 1, 1), -9): (0, 2)
(6, 0, 2, (1, 1, 1), -8): (0, 7)
(6, 0, 2, (1, 1, 1), -7): (1, 22)
(6, 0, 2, (1, 1, 1), -6): (2, 29)
(6, 0, 2, (1, 1, 1), -5): (2, 55)
(6, 0, 2, (1, 1, 1), -4): (4, 89)
(6, 0, 2, (1, 1, 1), -3): (17, 146)
(6, 0, 2, (1, 1, 1), -2): (55, 224)
(6, 0, 2, (1, 1, 1), -1): (109, 295)
(6, 0, 2, (1, 1, 1), 0): (192, 396)
(6, 0, 2, (1, 1, 1), 1): (272, 379)
(6, 0, 2, (1, 1, 1), 2): (260, 321)
(6, 0, 2, (1, 1, 1), 3): (200, 241)
(6, 0, 2, (1, 1, 1), 4): (162, 172)
(6, 0, 2, (1, 1, 1), 5): (106, 115)
(6, 0, 2, (1, 1, 1), 6): (91, 95)
(6, 0, 2, (1, 1, 1), 7): (54, 56)
(6, 0, 2, (1, 1, 1), 8): (30, 30)
(6, 0, 2, (1, 1, 1), 9): (13, 13)
(6, 0, 2, (1, 1, 1), 10): (13, 13)
(6, 0, 2, (1, 1, 1), 11): (10, 10)
(6, 0, 2, (1, 1, 1), 12): (7, 7)
(6, 0, 2, (1, 1, 1), 13): (1, 1)
(6, 0, 2, (1, 1, 1), 14): (1, 1)
(6, 0, 2, (1, 1, 1), 16): (2, 2)
(6, 1, 0, (0, 0, 0), -21): (0, 1)
(6, 1, 0, (0, 0, 0), -20): (0, 2)
(6, 1, 0, (0, 0, 0), -19): (0, 2)
(6, 1, 0, (0, 0, 0), -17): (0, 1)
(6, 1, 0, (0, 0, 0), -16): (0, 9)
(6, 1, 0, (0, 0, 0), -15): (0, 7)
(6, 1, 0, (0, 0, 0), -14): (0, 22)
(6, 1, 0, (0, 0, 0), -13): (0, 44)
(6, 1, 0, (0, 0, 0), -12): (1, 56)
(6, 1, 0, (0, 0, 0), -11): (0, 112)
(6, 1, 0, (0, 0, 0), -10): (0, 191)
(6, 1, 0, (0, 0, 0), -9): (2, 272)
(6, 1, 0, (0, 0, 0), -8): (4, 537)
(6, 1, 0, (0, 0, 0), -7): (16, 807)
(6, 1, 0, (0, 0, 0), -6): (49, 1386)
(6, 1, 0, (0, 0, 0), -5): (123, 2195)
(6, 1, 0, (0, 0, 0), -4): (290, 3198)
(6, 1, 0, (0, 0, 0), -3): (732, 4585)
(6, 1, 0, (0, 0, 0), -2): (1673, 6258)
(6, 1, 0, (0, 0, 0), -1): (3070, 7710)
(6, 1, 0, (0, 0, 0), 0): (5121, 8588)
(6, 1, 0, (0, 0, 0), 1): (5700, 7381)
(6, 1, 0, (0, 0, 0), 2): (4948, 5664)
(6, 1, 0, (0, 0, 0), 3): (3862, 4117)
(6, 1, 0, (0, 0, 0), 4): (2743, 2839)
(6, 1, 0, (0, 0, 0), 5): (1860, 1916)
(6, 1, 0, (0, 0, 0), 6): (1161, 1169)
(6, 1, 0, (0, 0, 0), 7): (732, 738)
(6, 1, 0, (0, 0, 0), 8): (418, 419)
(6, 1, 0, (0, 0, 0), 9): (276, 277)
(6, 1, 0, (0, 0, 0), 10): (162, 163)
(6, 1, 0, (0, 0, 0), 11): (90, 90)
(6, 1, 0, (0, 0, 0), 12): (38, 38)
(6, 1, 0, (0, 0, 0), 13): (24, 24)
(6, 1, 0, (0, 0, 0), 14): (13, 13)
(6, 1, 0, (0, 0, 0), 15): (8, 8)
(6, 1, 0, (0, 0, 0), 16): (2, 2)
(6, 1, 0, (0, 0, 0), 17): (2, 2)
(6, 1, 0, (0, 0, 0), 18): (1, 1)
(6, 1, 0, (0, 0, 0), 20): (1, 1)
(6, 1, 0, (0, 0, 1), -11): (0, 2)
(6, 1, 0, (0, 0, 1), -9): (0, 4)
(6, 1, 0, (0, 0, 1), -8): (0, 6)
(6, 1, 0, (0, 0, 1), -7): (1, 9)
(6, 1, 0, (0, 0, 1), -6): (2, 16)
(6, 1, 0, (0, 0, 1), -5): (6, 32)
(6, 1, 0, (0, 0, 1), -4): (5, 35)
(6, 1, 0, (0, 0, 1), -3): (27, 72)
(6, 1, 0, (0, 0, 1), -2): (33, 97)
(6, 1, 0, (0, 0, 1), -1): (49, 84)
(6, 1, 0, (0, 0, 1), 0): (114, 138)
(6, 1, 0, (0, 0, 1), 1): (95, 118)
(6, 1, 0, (0, 0, 1), 2): (94, 102)
(6, 1, 0, (0, 0, 1), 3): (82, 85)
(6, 1, 0, (0, 0, 1), 4): (48, 50)
(6, 1, 0, (0, 0, 1), 5): (39, 40)
(6, 1, 0, (0, 0, 1), 6): (24, 24)
(6, 1, 0, (0, 0, 1), 7): (10, 10)
(6, 1, 0, (0, 0, 1), 8): (10, 10)
(6, 1, 0, (0, 0, 1), 9): (10, 10)
(6, 1, 0, (0, 0, 1), 10): (3, 3)
(6, 1, 0, (0, 0, 1), 11): (3, 3)
(6, 1, 0, (0, 0, 1), 12): (1, 1)
(6, 1, 0, (0, 1, 0), -15): (0, 1)
(6, 1, 0, (0, 1, 0), -14): (0, 1)
(6, 1, 0, (0, 1, 0), -13): (0, 3)
(6, 1, 0, (0, 1, 0), -12): (0, 10)
(6, 1, 0, (0, 1, 0), -11): (0, 4)
(6, 1, 0, (0, 1, 0), -10): (0, 17)
(6, 1, 0, (0, 1, 0), -9): (0, 17)
(6, 1, 0, (0, 1, 0), -8): (1, 44)
(6, 1, 0, (0, 1, 0), -7): (5, 56)
(6, 1, 0, (0, 1, 0), -6): (7, 84)
(6, 1, 0, (0, 1, 0), -5): (14, 128)
(6, 1, 0, (0, 1, 0), -4): (36, 247)
(6, 1, 0, (0, 1, 0), -3): (71, 318)
(6, 1, 0, (0, 1, 0), -2): (150, 432)
(6, 1, 0, (0, 1, 0), -1): (272, 531)
(6, 1, 0, (0, 1, 0), 0): (439, 628)
(6, 1, 0, (0, 1, 0), 1): (516, 611)
(6, 1, 0, (0, 1, 0), 2): (409, 449)
(6, 1, 0, (0, 1, 0), 3): (344, 366)
(6, 1, 0, (0, 1, 0), 4): (258, 262)
(6, 1, 0, (0, 1, 0), 5): (180, 183)
(6, 1, 0, (0, 1, 0), 6): (108, 109)
(6, 1, 0, (0, 1, 0), 7): (56, 57)
(6, 1, 0, (0, 1, 0), 8): (33, 33)
(6, 1, 0, (0, 1, 0), 9): (18, 18)
(6, 1, 0, (0, 1, 0), 10): (16, 16)
(6, 1, 0, (0, 1, 0), 11): (5, 5)
(6, 1, 0, (0, 1, 0), 12): (2, 2)
(6, 1, 0, (0, 1, 0), 14): (2, 2)
(6, 1, 0, (0, 1, 0), 15): (3, 3)
(6, 1, 0, (0, 1, 1), -13): (0, 1)
(6, 1, 0, (0, 1, 1), -12): (0, 2)
(6, 1, 0, (0, 1, 1), -11): (0, 1)
(6, 1, 0, (0, 1, 1), -10): (0, 2)
(6, 1, 0, (0, 1, 1), -9): (0, 2)
(6, 1, 0, (0, 1, 1), -8): (0, 4)
(6, 1, 0, (0, 1, 1), -7): (0, 15)
(6, 1, 0, (0, 1, 1), -6): (2, 17)
(6, 1, 0, (0, 1, 1), -5): (1, 25)
(6, 1, 0, (0, 1, 1), -4): (11, 37)
(6, 1, 0, (0, 1, 1), -3): (18, 46)
(6, 1, 0, (0, 1, 1), -2): (34, 95)
(6, 1, 0, (0, 1, 1), -1): (72, 100)
(6, 1, 0, (0, 1, 1), 0): (81, 108)
(6, 1, 0, (0, 1, 1), 1): (93, 104)
(6, 1, 0, (0, 1, 1), 2): (77, 82)
(6, 1, 0, (0, 1, 1), 3): (78, 80)
(6, 1, 0, (0, 1, 1), 4): (46, 46)
(6, 1, 0, (0, 1, 1), 5): (44, 44)
(6, 1, 0, (0, 1, 1), 6): (21, 22)
(6, 1, 0, (0, 1, 1), 7): (22, 22)
(6, 1, 0, (0, 1, 1), 8): (10, 10)
(6, 1, 0, (0, 1, 1), 9): (6, 6)
(6, 1, 0, (0, 1, 1), 10): (7, 7)
(6, 1, 0, (0, 1, 1), 11): (1, 1)
(6, 1, 0, (0, 1, 1), 12): (2, 2)
(6, 1, 0, (1, 0, 0), -19): (0, 1)
(6, 1, 0, (1, 0, 0), -16): (0, 2)
(6, 1, 0, (1, 0, 0), -14): (0, 4)
(6, 1, 0, (1, 0, 0), -13): (0, 16)
(6, 1, 0, (1, 0, 0), -12): (0, 15)
(6, 1, 0, (1, 0, 0), -11): (0, 24)
(6, 1, 0, (1, 0, 0), -10): (0, 41)
(6, 1, 0, (1, 0, 0), -9): (1, 79)
(6, 1, 0, (1, 0, 0), -8): (1, 135)
(6, 1, 0, (1, 0, 0), -7): (4, 191)
(6, 1, 0, (1, 0, 0), -6): (23, 370)
(6, 1, 0, (1, 0, 0), -5): (53, 556)
(6, 1, 0, (1, 0, 0), -4): (93, 779)
(6, 1, 0, (1, 0, 0), -3): (249, 1125)
(6, 1, 0, (1, 0, 0), -2): (544, 1607)
(6, 1, 0, (1, 0, 0), -1): (941, 2012)
(6, 1, 0, (1, 0, 0), 0): (1455, 2238)
(6, 1, 0, (1, 0, 0), 1): (1536, 1924)
(6, 1, 0, (1, 0, 0), 2): (1341, 1506)
(6, 1, 0, (1, 0, 0), 3): (994, 1069)
(6, 1, 0, (1, 0, 0), 4): (719, 740)
(6, 1, 0, (1, 0, 0), 5): (508, 524)
(6, 1, 0, (1, 0, 0), 6): (318, 321)
(6, 1, 0, (1, 0, 0), 7): (196, 197)
(6, 1, 0, (1, 0, 0), 8): (123, 123)
(6, 1, 0, (1, 0, 0), 9): (86, 86)
(6, 1, 0, (1, 0, 0), 10): (48, 49)
(6, 1, 0, (1, 0, 0), 11): (33, 33)
(6, 1, 0, (1, 0, 0), 12): (8, 8)
(6, 1, 0, (1, 0, 0), 13): (7, 7)
(6, 1, 0, (1, 0, 0), 14): (2, 2)
(6, 1, 0, (1, 0, 0), 15): (3, 3)
(6, 1, 0, (1, 0, 0), 16): (1, 1)
(6, 1, 0, (1, 0, 1), -15): (0, 1)
(6, 1, 0, (1, 0, 1), -12): (0, 2)
(6, 1, 0, (1, 0, 1), -11): (0, 1)
(6, 1, 0, (1, 0, 1), -10): (0, 3)
(6, 1, 0, (1, 0, 1), -9): (0, 7)
(6, 1, 0, (1, 0, 1), -8): (0, 10)
(6, 1, 0, (1, 0, 1), -7): (1, 10)
(6, 1, 0, (1, 0, 1), -6): (2, 21)
(6, 1, 0, (1, 0, 1), -5): (10, 44)
(6, 1, 0, (1, 0, 1), -4): (13, 69)
(6, 1, 0, (1, 0, 1), -3): (20, 83)
(6, 1, 0, (1, 0, 1), -2): (70, 144)
(6, 1, 0, (1, 0, 1), -1): (119, 187)
(6, 1, 0, (1, 0, 1), 0): (179, 229)
(6, 1, 0, (1, 0, 1), 1): (150, 164)
(6, 1, 0, (1, 0, 1), 2): (142, 150)
(6, 1, 0, (1, 0, 1), 3): (122, 124)
(6, 1, 0, (1, 0, 1), 4): (87, 87)
(6, 1, 0, (1, 0, 1), 5): (52, 52)
(6, 1, 0, (1, 0, 1), 6): (44, 44)
(6, 1, 0, (1, 0, 1), 7): (25, 25)
(6, 1, 0, (1, 0, 1), 8): (10, 10)
(6, 1, 0, (1, 0, 1), 9): (7, 7)
(6, 1, 0, (1, 0, 1), 10): (1, 1)
(6, 1, 0, (1, 0, 1), 11): (5, 5)
(6, 1, 0, (1, 0, 1), 12): (2, 2)
(6, 1, 0, (1, 0, 1), 13): (1, 1)
(6, 1, 0, (1, 1, 0), -16): (0, 1)
(6, 1, 0, (1, 1, 0), -14): (0, 1)
(6, 1, 0, (1, 1, 0), -13): (0, 3)
(6, 1, 0, (1, 1, 0), -12): (0, 7)
(6, 1, 0, (1, 1, 0), -11): (0, 6)
(6, 1, 0, (1, 1, 0), -10): (0, 8)
(6, 1, 0, (1, 1, 0), -9): (1, 17)
(6, 1, 0, (1, 1, 0), -8): (0, 26)
(6, 1, 0, (1, 1, 0), -7): (3, 46)
(6, 1, 0, (1, 1, 0), -6): (10, 97)
(6, 1, 0, (1, 1, 0), -5): (23, 157)
(6, 1, 0, (1, 1, 0), -4): (43, 214)
(6, 1, 0, (1, 1, 0), -3): (95, 311)
(6, 1, 0, (1, 1, 0), -2): (166, 405)
(6, 1, 0, (1, 1, 0), -1): (259, 443)
(6, 1, 0, (1, 1, 0), 0): (315, 432)
(6, 1, 0, (1, 1, 0), 1): (336, 390)
(6, 1, 0, (1, 1, 0), 2): (301, 334)
(6, 1, 0, (1, 1, 0), 3): (221, 224)
(6, 1, 0, (1, 1, 0), 4): (170, 173)
(6, 1, 0, (1, 1, 0), 5): (143, 144)
(6, 1, 0, (1, 1, 0), 6): (108, 108)
(6, 1, 0, (1, 1, 0), 7): (56, 56)
(6, 1, 0, (1, 1, 0), 8): (34, 34)
(6, 1, 0, (1, 1, 0), 9): (23, 23)
(6, 1, 0, (1, 1, 0), 10): (12, 12)
(6, 1, 0, (1, 1, 0), 11): (7, 7)
(6, 1, 0, (1, 1, 0), 12): (1, 1)
(6, 1, 0, (1, 1, 0), 14): (1, 1)
(6, 1, 0, (1, 1, 1), -13): (0, 2)
(6, 1, 0, (1, 1, 1), -12): (0, 2)
(6, 1, 0, (1, 1, 1), -11): (0, 1)
(6, 1, 0, (1, 1, 1), -8): (0, 2)
(6, 1, 0, (1, 1, 1), -7): (2, 6)
(6, 1, 0, (1, 1, 1), -6): (3, 21)
(6, 1, 0, (1, 1, 1), -5): (4, 30)
(6, 1, 0, (1, 1, 1), -4): (15, 51)
(6, 1, 0, (1, 1, 1), -3): (28, 65)
(6, 1, 0, (1, 1, 1), -2): (46, 89)
(6, 1, 0, (1, 1, 1), -1): (78, 109)
(6, 1, 0, (1, 1, 1), 0): (97, 126)
(6, 1, 0, (1, 1, 1), 1): (101, 111)
(6, 1, 0, (1, 1, 1), 2): (87, 90)
(6, 1, 0, (1, 1, 1), 3): (64, 65)
(6, 1, 0, (1, 1, 1), 4): (57, 57)
(6, 1, 0, (1, 1, 1), 5): (35, 35)
(6, 1, 0, (1, 1, 1), 6): (29, 29)
(6, 1, 0, (1, 1, 1), 7): (20, 20)
(6, 1, 0, (1, 1, 1), 8): (8, 8)
(6, 1, 0, (1, 1, 1), 9): (12, 12)
(6, 1, 0, (1, 1, 1), 10): (2, 2)
(6, 1, 0, (1, 1, 1), 11): (3, 3)
(6, 1, 1, (0, 0, 0), -21): (0, 1)
(6, 1, 1, (0, 0, 0), -20): (0, 2)
(6, 1, 1, (0, 0, 0), -19): (0, 1)
(6, 1, 1, (0, 0, 0), -17): (0, 1)
(6, 1, 1, (0, 0, 0), -16): (0, 7)
(6, 1, 1, (0, 0, 0), -15): (0, 8)
(6, 1, 1, (0, 0, 0), -14): (0, 16)
(6, 1, 1, (0, 0, 0), -13): (0, 26)
(6, 1, 1, (0, 0, 0), -12): (1, 36)
(6, 1, 1, (0, 0, 0), -11): (0, 82)
(6, 1, 1, (0, 0, 0), -10): (0, 138)
(6, 1, 1, (0, 0, 0), -9): (1, 185)
(6, 1, 1, (0, 0, 0), -8): (2, 353)
(6, 1, 1, (0, 0, 0), -7): (9, 565)
(6, 1, 1, (0, 0, 0), -6): (19, 942)
(6, 1, 1, (0, 0, 0), -5): (55, 1520)
(6, 1, 1, (0, 0, 0), -4): (167, 2222)
(6, 1, 1, (0, 0, 0), -3): (405, 3193)
(6, 1, 1, (0, 0, 0), -2): (996, 4299)
(6, 1, 1, (0, 0, 0), -1): (1920, 5433)
(6, 1, 1, (0, 0, 0), 0): (3402, 6076)
(6, 1, 1, (0, 0, 0), 1): (3957, 5272)
(6, 1, 1, (0, 0, 0), 2): (3529, 4087)
(6, 1, 1, (0, 0, 0), 3): (2823, 3021)
(6, 1, 1, (0, 0, 0), 4): (2052, 2133)
(6, 1, 1, (0, 0, 0), 5): (1337, 1379)
(6, 1, 1, (0, 0, 0), 6): (863, 868)
(6, 1, 1, (0, 0, 0), 7): (541, 545)
(6, 1, 1, (0, 0, 0), 8): (308, 309)
(6, 1, 1, (0, 0, 0), 9): (211, 212)
(6, 1, 1, (0, 0, 0), 10): (127, 127)
(6, 1, 1, (0, 0, 0), 11): (69, 69)
(6, 1, 1, (0, 0, 0), 12): (40, 40)
(6, 1, 1, (0, 0, 0), 13): (20, 20)
(6, 1, 1, (0, 0, 0), 14): (13, 13)
(6, 1, 1, (0, 0, 0), 15): (4, 4)
(6, 1, 1, (0, 0, 0), 16): (2, 2)
(6, 1, 1, (0, 0, 0), 17): (2, 2)
(6, 1, 1, (0, 0, 0), 18): (1, 1)
(6, 1, 1, (0, 0, 0), 20): (1, 1)
(6, 1, 1, (0, 0, 0), 21): (1, 1)
(6, 1, 1, (0, 0, 1), -13): (0, 2)
(6, 1, 1, (0, 0, 1), -12): (0, 3)
(6, 1, 1, (0, 0, 1), -11): (0, 4)
(6, 1, 1, (0, 0, 1), -10): (0, 8)
(6, 1, 1, (0, 0, 1), -9): (0, 6)
(6, 1, 1, (0, 0, 1), -8): (0, 15)
(6, 1, 1, (0, 0, 1), -7): (0, 19)
(6, 1, 1, (0, 0, 1), -6): (2, 33)
(6, 1, 1, (0, 0, 1), -5): (2, 52)
(6, 1, 1, (0, 0, 1), -4): (9, 108)
(6, 1, 1, (0, 0, 1), -3): (29, 162)
(6, 1, 1, (0, 0, 1), -2): (70, 234)
(6, 1, 1, (0, 0, 1), -1): (159, 309)
(6, 1, 1, (0, 0, 1), 0): (280, 400)
(6, 1, 1, (0, 0, 1), 1): (366, 438)
(6, 1, 1, (0, 0, 1), 2): (273, 299)
(6, 1, 1, (0, 0, 1), 3): (244, 258)
(6, 1, 1, (0, 0, 1), 4): (191, 194)
(6, 1, 1, (0, 0, 1), 5): (132, 137)
(6, 1, 1, (0, 0, 1), 6): (88, 89)
(6, 1, 1, (0, 0, 1), 7): (36, 36)
(6, 1, 1, (0, 0, 1), 8): (28, 28)
(6, 1, 1, (0, 0, 1), 9): (15, 15)
(6, 1, 1, (0, 0, 1), 10): (10, 10)
(6, 1, 1, (0, 0, 1), 11): (4, 4)
(6, 1, 1, (0, 0, 1), 12): (1, 1)
(6, 1, 1, (0, 0, 1), 14): (1, 1)
(6, 1, 1, (0, 1, 0), -19): (0, 1)
(6, 1, 1, (0, 1, 0), -14): (0, 2)
(6, 1, 1, (0, 1, 0), -13): (0, 2)
(6, 1, 1, (0, 1, 0), -12): (0, 7)
(6, 1, 1, (0, 1, 0), -11): (0, 9)
(6, 1, 1, (0, 1, 0), -10): (0, 16)
(6, 1, 1, (0, 1, 0), -9): (0, 27)
(6, 1, 1, (0, 1, 0), -8): (0, 55)
(6, 1, 1, (0, 1, 0), -7): (4, 91)
(6, 1, 1, (0, 1, 0), -6): (4, 125)
(6, 1, 1, (0, 1, 0), -5): (11, 211)
(6, 1, 1, (0, 1, 0), -4): (35, 326)
(6, 1, 1, (0, 1, 0), -3): (74, 444)
(6, 1, 1, (0, 1, 0), -2): (182, 637)
(6, 1, 1, (0, 1, 0), -1): (423, 1003)
(6, 1, 1, (0, 1, 0), 0): (838, 1339)
(6, 1, 1, (0, 1, 0), 1): (864, 1118)
(6, 1, 1, (0, 1, 0), 2): (766, 861)
(6, 1, 1, (0, 1, 0), 3): (658, 696)
(6, 1, 1, (0, 1, 0), 4): (503, 510)
(6, 1, 1, (0, 1, 0), 5): (365, 375)
(6, 1, 1, (0, 1, 0), 6): (184, 186)
(6, 1, 1, (0, 1, 0), 7): (117, 119)
(6, 1, 1, (0, 1, 0), 8): (65, 65)
(6, 1, 1, (0, 1, 0), 9): (45, 45)
(6, 1, 1, (0, 1, 0), 10): (33, 33)
(6, 1, 1, (0, 1, 0), 11): (15, 15)
(6, 1, 1, (0, 1, 0), 12): (7, 7)
(6, 1, 1, (0, 1, 0), 13): (5, 5)
(6, 1, 1, (0, 1, 0), 14): (2, 2)
(6, 1, 1, (0, 1, 0), 15): (5, 5)
(6, 1, 1, (0, 1, 1), -13): (0, 1)
(6, 1, 1, (0, 1, 1), -12): (0, 3)
(6, 1, 1, (0, 1, 1), -11): (0, 4)
(6, 1, 1, (0, 1, 1), -10): (0, 7)
(6, 1, 1, (0, 1, 1), -9): (0, 9)
(6, 1, 1, (0, 1, 1), -8): (0, 17)
(6, 1, 1, (0, 1, 1), -7): (1, 23)
(6, 1, 1, (0, 1, 1), -6): (3, 32)
(6, 1, 1, (0, 1, 1), -5): (5, 60)
(6, 1, 1, (0, 1, 1), -4): (16, 83)
(6, 1, 1, (0, 1, 1), -3): (44, 135)
(6, 1, 1, (0, 1, 1), -2): (98, 231)
(6, 1, 1, (0, 1, 1), -1): (162, 297)
(6, 1, 1, (0, 1, 1), 0): (234, 326)
(6, 1, 1, (0, 1, 1), 1): (284, 330)
(6, 1, 1, (0, 1, 1), 2): (234, 261)
(6, 1, 1, (0, 1, 1), 3): (198, 211)
(6, 1, 1, (0, 1, 1), 4): (155, 157)
(6, 1, 1, (0, 1, 1), 5): (102, 103)
(6, 1, 1, (0, 1, 1), 6): (77, 79)
(6, 1, 1, (0, 1, 1), 7): (47, 47)
(6, 1, 1, (0, 1, 1), 8): (28, 28)
(6, 1, 1, (0, 1, 1), 9): (21, 22)
(6, 1, 1, (0, 1, 1), 10): (12, 12)
(6, 1, 1, (0, 1, 1), 11): (8, 8)
(6, 1, 1, (0, 1, 1), 12): (4, 4)
(6, 1, 1, (0, 1, 1), 13): (2, 2)
(6, 1, 1, (0, 1, 1), 14): (1, 1)
(6, 1, 1, (0, 1, 1), 15): (1, 1)
(6, 1, 1, (0, 1, 1), 18): (1, 1)
(6, 1, 1, (1, 0, 0), -21): (0, 1)
(6, 1, 1, (1, 0, 0), -19): (0, 1)
(6, 1, 1, (1, 0, 0), -16): (0, 3)
(6, 1, 1, (1, 0, 0), -15): (0, 4)
(6, 1, 1, (1, 0, 0), -14): (0, 6)
(6, 1, 1, (1, 0, 0), -13): (0, 17)
(6, 1, 1, (1, 0, 0), -12): (0, 19)
(6, 1, 1, (1, 0, 0), -11): (0, 38)
(6, 1, 1, (1, 0, 0), -10): (0, 54)
(6, 1, 1, (1, 0, 0), -9): (1, 84)
(6, 1, 1, (1, 0, 0), -8): (0, 156)
(6, 1, 1, (1, 0, 0), -7): (5, 229)
(6, 1, 1, (1, 0, 0), -6): (14, 420)
(6, 1, 1, (1, 0, 0), -5): (38, 593)
(6, 1, 1, (1, 0, 0), -4): (99, 982)
(6, 1, 1, (1, 0, 0), -3): (225, 1382)
(6, 1, 1, (1, 0, 0), -2): (528, 1829)
(6, 1, 1, (1, 0, 0), -1): (900, 2240)
(6, 1, 1, (1, 0, 0), 0): (1489, 2447)
(6, 1, 1, (1, 0, 0), 1): (1682, 2160)
(6, 1, 1, (1, 0, 0), 2): (1507, 1722)
(6, 1, 1, (1, 0, 0), 3): (1181, 1271)
(6, 1, 1, (1, 0, 0), 4): (914, 942)
(6, 1, 1, (1, 0, 0), 5): (623, 636)
(6, 1, 1, (1, 0, 0), 6): (401, 404)
(6, 1, 1, (1, 0, 0), 7): (287, 290)
(6, 1, 1, (1, 0, 0), 8): (156, 157)
(6, 1, 1, (1, 0, 0), 9): (114, 115)
(6, 1, 1, (1, 0, 0), 10): (66, 67)
(6, 1, 1, (1, 0, 0), 11): (44, 44)
(6, 1, 1, (1, 0, 0), 12): (14, 14)
(6, 1, 1, (1, 0, 0), 13): (10, 10)
(6, 1, 1, (1, 0, 0), 14): (6, 6)
(6, 1, 1, (1, 0, 0), 15): (3, 3)
(6, 1, 1, (1, 0, 0), 16): (1, 1)
(6, 1, 1, (1, 0, 1), -19): (0, 1)
(6, 1, 1, (1, 0, 1), -15): (0, 1)
(6, 1, 1, (1, 0, 1), -14): (0, 1)
(6, 1, 1, (1, 0, 1), -13): (0, 1)
(6, 1, 1, (1, 0, 1), -12): (0, 1)
(6, 1, 1, (1, 0, 1), -11): (0, 9)
(6, 1, 1, (1, 0, 1), -10): (0, 11)
(6, 1, 1, (1, 0, 1), -9): (0, 16)
(6, 1, 1, (1, 0, 1), -8): (0, 18)
(6, 1, 1, (1, 0, 1), -7): (0, 22)
(6, 1, 1, (1, 0, 1), -6): (1, 46)
(6, 1, 1, (1, 0, 1), -5): (6, 68)
(6, 1, 1, (1, 0, 1), -4): (19, 119)
(6, 1, 1, (1, 0, 1), -3): (47, 175)
(6, 1, 1, (1, 0, 1), -2): (102, 263)
(6, 1, 1, (1, 0, 1), -1): (174, 329)
(6, 1, 1, (1, 0, 1), 0): (303, 428)
(6, 1, 1, (1, 0, 1), 1): (348, 422)
(6, 1, 1, (1, 0, 1), 2): (286, 309)
(6, 1, 1, (1, 0, 1), 3): (251, 264)
(6, 1, 1, (1, 0, 1), 4): (169, 172)
(6, 1, 1, (1, 0, 1), 5): (125, 127)
(6, 1, 1, (1, 0, 1), 6): (108, 108)
(6, 1, 1, (1, 0, 1), 7): (49, 50)
(6, 1, 1, (1, 0, 1), 8): (33, 33)
(6, 1, 1, (1, 0, 1), 9): (15, 15)
(6, 1, 1, (1, 0, 1), 10): (17, 17)
(6, 1, 1, (1, 0, 1), 11): (9, 9)
(6, 1, 1, (1, 0, 1), 12): (5, 5)
(6, 1, 1, (1, 0, 1), 13): (1, 1)
(6, 1, 1, (1, 0, 1), 14): (1, 1)
(6, 1, 1, (1, 0, 1), 15): (2, 2)
(6, 1, 1, (1, 0, 1), 16): (1, 1)
(6, 1, 1, (1, 0, 1), 17): (1, 1)
(6, 1, 1, (1, 1, 0), -16): (0, 2)
(6, 1, 1, (1, 1, 0), -15): (0, 1)
(6, 1, 1, (1, 1, 0), -14): (0, 1)
(6, 1, 1, (1, 1, 0), -13): (0, 6)
(6, 1, 1, (1, 1, 0), -12): (0, 10)
(6, 1, 1, (1, 1, 0), -11): (0, 11)
(6, 1, 1, (1, 1, 0), -10): (0, 17)
(6, 1, 1, (1, 1, 0), -9): (0, 34)
(6, 1, 1, (1, 1, 0), -8): (0, 40)
(6, 1, 1, (1, 1, 0), -7): (4, 90)
(6, 1, 1, (1, 1, 0), -6): (10, 151)
(6, 1, 1, (1, 1, 0), -5): (27, 236)
(6, 1, 1, (1, 1, 0), -4): (45, 374)
(6, 1, 1, (1, 1, 0), -3): (100, 507)
(6, 1, 1, (1, 1, 0), -2): (239, 630)
(6, 1, 1, (1, 1, 0), -1): (370, 774)
(6, 1, 1, (1, 1, 0), 0): (564, 883)
(6, 1, 1, (1, 1, 0), 1): (636, 791)
(6, 1, 1, (1, 1, 0), 2): (586, 655)
(6, 1, 1, (1, 1, 0), 3): (487, 508)
(6, 1, 1, (1, 1, 0), 4): (323, 334)
(6, 1, 1, (1, 1, 0), 5): (302, 305)
(6, 1, 1, (1, 1, 0), 6): (199, 200)
(6, 1, 1, (1, 1, 0), 7): (141, 142)
(6, 1, 1, (1, 1, 0), 8): (71, 72)
(6, 1, 1, (1, 1, 0), 9): (44, 45)
(6, 1, 1, (1, 1, 0), 10): (31, 31)
(6, 1, 1, (1, 1, 0), 11): (18, 18)
(6, 1, 1, (1, 1, 0), 12): (15, 15)
(6, 1, 1, (1, 1, 0), 13): (1, 1)
(6, 1, 1, (1, 1, 0), 14): (3, 3)
(6, 1, 1, (1, 1, 0), 15): (2, 2)
(6, 1, 1, (1, 1, 0), 16): (3, 3)
(6, 1, 1, (1, 1, 1), -13): (0, 3)
(6, 1, 1, (1, 1, 1), -12): (0, 2)
(6, 1, 1, (1, 1, 1), -11): (0, 1)
(6, 1, 1, (1, 1, 1), -10): (0, 2)
(6, 1, 1, (1, 1, 1), -9): (0, 3)
(6, 1, 1, (1, 1, 1), -8): (0, 14)
(6, 1, 1, (1, 1, 1), -7): (1, 19)
(6, 1, 1, (1, 1, 1), -6): (6, 42)
(6, 1, 1, (1, 1, 1), -5): (7, 58)
(6, 1, 1, (1, 1, 1), -4): (13, 80)
(6, 1, 1, (1, 1, 1), -3): (35, 136)
(6, 1, 1, (1, 1, 1), -2): (87, 182)
(6, 1, 1, (1, 1, 1), -1): (146, 262)
(6, 1, 1, (1, 1, 1), 0): (282, 398)
(6, 1, 1, (1, 1, 1), 1): (320, 367)
(6, 1, 1, (1, 1, 1), 2): (312, 334)
(6, 1, 1, (1, 1, 1), 3): (222, 231)
(6, 1, 1, (1, 1, 1), 4): (157, 159)
(6, 1, 1, (1, 1, 1), 5): (121, 123)
(6, 1, 1, (1, 1, 1), 6): (86, 86)
(6, 1, 1, (1, 1, 1), 7): (60, 60)
(6, 1, 1, (1, 1, 1), 8): (27, 27)
(6, 1, 1, (1, 1, 1), 9): (19, 19)
(6, 1, 1, (1, 1, 1), 10): (8, 8)
(6, 1, 1, (1, 1, 1), 11): (4, 4)
(6, 1, 1, (1, 1, 1), 12): (6, 6)
(6, 1, 1, (1, 1, 1), 13): (3, 3)
(6, 1, 1, (1, 1, 1), 14): (2, 2)
(6, 1, 1, (1, 1, 1), 18): (1, 1)
(6, 1, 2, (0, 0, 0), -20): (0, 2)
(6, 1, 2, (0, 0, 0), -17): (0, 1)
(6, 1, 2, (0, 0, 0), -16): (0, 3)
(6, 1, 2, (0, 0, 0), -15): (0, 4)
(6, 1, 2, (0, 0, 0), -14): (0, 11)
(6, 1, 2, (0, 0, 0), -13): (0, 19)
(6, 1, 2, (0, 0, 0), -12): (1, 27)
(6, 1, 2, (0, 0, 0), -11): (0, 57)
(6, 1, 2, (0, 0, 0), -10): (0, 95)
(6, 1, 2, (0, 0, 0), -9): (0, 143)
(6, 1, 2, (0, 0, 0), -8): (1, 270)
(6, 1, 2, (0, 0, 0), -7): (3, 417)
(6, 1, 2, (0, 0, 0), -6): (12, 704)
(6, 1, 2, (0, 0, 0), -5): (37, 1182)
(6, 1, 2, (0, 0, 0), -4): (94, 1612)
(6, 1, 2, (0, 0, 0), -3): (245, 2407)
(6, 1, 2, (0, 0, 0), -2): (659, 3261)
(6, 1, 2, (0, 0, 0), -1): (1334, 4189)
(6, 1, 2, (0, 0, 0), 0): (2501, 4710)
(6, 1, 2, (0, 0, 0), 1): (3117, 4238)
(6, 1, 2, (0, 0, 0), 2): (2906, 3388)
(6, 1, 2, (0, 0, 0), 3): (2299, 2492)
(6, 1, 2, (0, 0, 0), 4): (1650, 1727)
(6, 1, 2, (0, 0, 0), 5): (1127, 1168)
(6, 1, 2, (0, 0, 0), 6): (754, 763)
(6, 1, 2, (0, 0, 0), 7): (458, 460)
(6, 1, 2, (0, 0, 0), 8): (279, 279)
(6, 1, 2, (0, 0, 0), 9): (183, 183)
(6, 1, 2, (0, 0, 0), 10): (118, 118)
(6, 1, 2, (0, 0, 0), 11): (65, 65)
(6, 1, 2, (0, 0, 0), 12): (43, 43)
(6, 1, 2, (0, 0, 0), 13): (19, 19)
(6, 1, 2, (0, 0, 0), 14): (10, 10)
(6, 1, 2, (0, 0, 0), 15): (5, 5)
(6, 1, 2, (0, 0, 0), 16): (2, 2)
(6, 1, 2, (0, 0, 0), 17): (3, 3)
(6, 1, 2, (0, 0, 0), 18): (1, 1)
(6, 1, 2, (0, 0, 0), 21): (1, 1)
(6, 1, 2, (0, 0, 1), -19): (0, 1)
(6, 1, 2, (0, 0, 1), -13): (0, 1)
(6, 1, 2, (0, 0, 1), -12): (0, 4)
(6, 1, 2, (0, 0, 1), -11): (0, 5)
(6, 1, 2, (0, 0, 1), -10): (0, 7)
(6, 1, 2, (0, 0, 1), -9): (0, 13)
(6, 1, 2, (0, 0, 1), -8): (0, 26)
(6, 1, 2, (0, 0, 1), -7): (0, 44)
(6, 1, 2, (0, 0, 1), -6): (1, 61)
(6, 1, 2, (0, 0, 1), -5): (3, 102)
(6, 1, 2, (0, 0, 1), -4): (11, 152)
(6, 1, 2, (0, 0, 1), -3): (32, 234)
(6, 1, 2, (0, 0, 1), -2): (76, 332)
(6, 1, 2, (0, 0, 1), -1): (176, 461)
(6, 1, 2, (0, 0, 1), 0): (331, 571)
(6, 1, 2, (0, 0, 1), 1): (409, 537)
(6, 1, 2, (0, 0, 1), 2): (366, 413)
(6, 1, 2, (0, 0, 1), 3): (339, 361)
(6, 1, 2, (0, 0, 1), 4): (263, 268)
(6, 1, 2, (0, 0, 1), 5): (175, 185)
(6, 1, 2, (0, 0, 1), 6): (120, 121)
(6, 1, 2, (0, 0, 1), 7): (65, 65)
(6, 1, 2, (0, 0, 1), 8): (49, 50)
(6, 1, 2, (0, 0, 1), 9): (24, 24)
(6, 1, 2, (0, 0, 1), 10): (24, 25)
(6, 1, 2, (0, 0, 1), 11): (11, 11)
(6, 1, 2, (0, 0, 1), 12): (6, 6)
(6, 1, 2, (0, 0, 1), 13): (3, 3)
(6, 1, 2, (0, 1, 0), -19): (0, 1)
(6, 1, 2, (0, 1, 0), -15): (0, 1)
(6, 1, 2, (0, 1, 0), -14): (0, 2)
(6, 1, 2, (0, 1, 0), -13): (0, 1)
(6, 1, 2, (0, 1, 0), -12): (0, 5)
(6, 1, 2, (0, 1, 0), -11): (0, 15)
(6, 1, 2, (0, 1, 0), -10): (0, 23)
(6, 1, 2, (0, 1, 0), -9): (1, 35)
(6, 1, 2, (0, 1, 0), -8): (1, 61)
(6, 1, 2, (0, 1, 0), -7): (2, 85)
(6, 1, 2, (0, 1, 0), -6): (1, 158)
(6, 1, 2, (0, 1, 0), -5): (12, 247)
(6, 1, 2, (0, 1, 0), -4): (34, 387)
(6, 1, 2, (0, 1, 0), -3): (68, 530)
(6, 1, 2, (0, 1, 0), -2): (180, 771)
(6, 1, 2, (0, 1, 0), -1): (406, 1136)
(6, 1, 2, (0, 1, 0), 0): (793, 1379)
(6, 1, 2, (0, 1, 0), 1): (962, 1269)
(6, 1, 2, (0, 1, 0), 2): (998, 1156)
(6, 1, 2, (0, 1, 0), 3): (857, 911)
(6, 1, 2, (0, 1, 0), 4): (616, 632)
(6, 1, 2, (0, 1, 0), 5): (476, 486)
(6, 1, 2, (0, 1, 0), 6): (258, 260)
(6, 1, 2, (0, 1, 0), 7): (163, 163)
(6, 1, 2, (0, 1, 0), 8): (120, 120)
(6, 1, 2, (0, 1, 0), 9): (77, 77)
(6, 1, 2, (0, 1, 0), 10): (50, 50)
(6, 1, 2, (0, 1, 0), 11): (29, 29)
(6, 1, 2, (0, 1, 0), 12): (11, 11)
(6, 1, 2, (0, 1, 0), 13): (6, 6)
(6, 1, 2, (0, 1, 0), 14): (3, 3)
(6, 1, 2, (0, 1, 0), 15): (3, 3)
(6, 1, 2, (0, 1, 0), 16): (1, 1)
(6, 1, 2, (0, 1, 0), 20): (1, 1)
(6, 1, 2, (0, 1, 1), -16): (0, 1)
(6, 1, 2, (0, 1, 1), -13): (0, 4)
(6, 1, 2, (0, 1, 1), -12): (0, 1)
(6, 1, 2, (0, 1, 1), -11): (0, 1)
(6, 1, 2, (0, 1, 1), -10): (0, 7)
(6, 1, 2, (0, 1, 1), -9): (0, 7)
(6, 1, 2, (0, 1, 1), -8): (0, 15)
(6, 1, 2, (0, 1, 1), -7): (0, 21)
(6, 1, 2, (0, 1, 1), -6): (0, 29)
(6, 1, 2, (0, 1, 1), -5): (5, 64)
(6, 1, 2, (0, 1, 1), -4): (8, 95)
(6, 1, 2, (0, 1, 1), -3): (29, 151)
(6, 1, 2, (0, 1, 1), -2): (61, 211)
(6, 1, 2, (0, 1, 1), -1): (122, 271)
(6, 1, 2, (0, 1, 1), 0): (187, 281)
(6, 1, 2, (0, 1, 1), 1): (244, 314)
(6, 1, 2, (0, 1, 1), 2): (244, 270)
(6, 1, 2, (0, 1, 1), 3): (212, 228)
(6, 1, 2, (0, 1, 1), 4): (167, 171)
(6, 1, 2, (0, 1, 1), 5): (111, 111)
(6, 1, 2, (0, 1, 1), 6): (105, 107)
(6, 1, 2, (0, 1, 1), 7): (50, 50)
(6, 1, 2, (0, 1, 1), 8): (34, 34)
(6, 1, 2, (0, 1, 1), 9): (27, 27)
(6, 1, 2, (0, 1, 1), 10): (13, 13)
(6, 1, 2, (0, 1, 1), 11): (11, 11)
(6, 1, 2, (0, 1, 1), 12): (3, 3)
(6, 1, 2, (0, 1, 1), 13): (5, 5)
(6, 1, 2, (0, 1, 1), 14): (2, 2)
(6, 1, 2, (0, 1, 1), 15): (1, 1)
(6, 1, 2, (1, 0, 0), -21): (0, 1)
(6, 1, 2, (1, 0, 0), -18): (0, 1)
(6, 1, 2, (1, 0, 0), -17): (0, 1)
(6, 1, 2, (1, 0, 0), -16): (0, 1)
(6, 1, 2, (1, 0, 0), -15): (0, 3)
(6, 1, 2, (1, 0, 0), -14): (0, 6)
(6, 1, 2, (1, 0, 0), -13): (0, 16)
(6, 1, 2, (1, 0, 0), -12): (0, 12)
(6, 1, 2, (1, 0, 0), -11): (0, 30)
(6, 1, 2, (1, 0, 0), -10): (0, 64)
(6, 1, 2, (1, 0, 0), -9): (0, 74)
(6, 1, 2, (1, 0, 0), -8): (1, 165)
(6, 1, 2, (1, 0, 0), -7): (4, 207)
(6, 1, 2, (1, 0, 0), -6): (6, 394)
(6, 1, 2, (1, 0, 0), -5): (23, 558)
(6, 1, 2, (1, 0, 0), -4): (64, 869)
(6, 1, 2, (1, 0, 0), -3): (169, 1239)
(6, 1, 2, (1, 0, 0), -2): (386, 1722)
(6, 1, 2, (1, 0, 0), -1): (745, 2141)
(6, 1, 2, (1, 0, 0), 0): (1343, 2356)
(6, 1, 2, (1, 0, 0), 1): (1585, 2145)
(6, 1, 2, (1, 0, 0), 2): (1493, 1716)
(6, 1, 2, (1, 0, 0), 3): (1166, 1262)
(6, 1, 2, (1, 0, 0), 4): (934, 970)
(6, 1, 2, (1, 0, 0), 5): (665, 684)
(6, 1, 2, (1, 0, 0), 6): (473, 476)
(6, 1, 2, (1, 0, 0), 7): (325, 328)
(6, 1, 2, (1, 0, 0), 8): (207, 208)
(6, 1, 2, (1, 0, 0), 9): (141, 141)
(6, 1, 2, (1, 0, 0), 10): (82, 83)
(6, 1, 2, (1, 0, 0), 11): (49, 49)
(6, 1, 2, (1, 0, 0), 12): (25, 25)
(6, 1, 2, (1, 0, 0), 13): (16, 16)
(6, 1, 2, (1, 0, 0), 14): (5, 5)
(6, 1, 2, (1, 0, 0), 15): (2, 2)
(6, 1, 2, (1, 0, 0), 17): (1, 1)
(6, 1, 2, (1, 0, 1), -15): (0, 1)
(6, 1, 2, (1, 0, 1), -14): (0, 1)
(6, 1, 2, (1, 0, 1), -12): (0, 5)
(6, 1, 2, (1, 0, 1), -11): (0, 2)
(6, 1, 2, (1, 0, 1), -10): (0, 12)
(6, 1, 2, (1, 0, 1), -9): (0, 12)
(6, 1, 2, (1, 0, 1), -8): (0, 16)
(6, 1, 2, (1, 0, 1), -7): (1, 31)
(6, 1, 2, (1, 0, 1), -6): (1, 79)
(6, 1, 2, (1, 0, 1), -5): (7, 106)
(6, 1, 2, (1, 0, 1), -4): (9, 178)
(6, 1, 2, (1, 0, 1), -3): (33, 220)
(6, 1, 2, (1, 0, 1), -2): (103, 338)
(6, 1, 2, (1, 0, 1), -1): (186, 431)
(6, 1, 2, (1, 0, 1), 0): (343, 549)
(6, 1, 2, (1, 0, 1), 1): (401, 523)
(6, 1, 2, (1, 0, 1), 2): (447, 496)
(6, 1, 2, (1, 0, 1), 3): (325, 339)
(6, 1, 2, (1, 0, 1), 4): (253, 258)
(6, 1, 2, (1, 0, 1), 5): (206, 210)
(6, 1, 2, (1, 0, 1), 6): (174, 176)
(6, 1, 2, (1, 0, 1), 7): (79, 82)
(6, 1, 2, (1, 0, 1), 8): (57, 57)
(6, 1, 2, (1, 0, 1), 9): (25, 25)
(6, 1, 2, (1, 0, 1), 10): (26, 26)
(6, 1, 2, (1, 0, 1), 11): (10, 10)
(6, 1, 2, (1, 0, 1), 12): (9, 9)
(6, 1, 2, (1, 0, 1), 13): (5, 5)
(6, 1, 2, (1, 0, 1), 15): (1, 1)
(6, 1, 2, (1, 0, 1), 16): (3, 3)
(6, 1, 2, (1, 0, 1), 19): (1, 1)
(6, 1, 2, (1, 1, 0), -16): (0, 2)
(6, 1, 2, (1, 1, 0), -15): (0, 1)
(6, 1, 2, (1, 1, 0), -13): (0, 5)
(6, 1, 2, (1, 1, 0), -12): (0, 9)
(6, 1, 2, (1, 1, 0), -11): (0, 17)
(6, 1, 2, (1, 1, 0), -10): (0, 24)
(6, 1, 2, (1, 1, 0), -9): (0, 29)
(6, 1, 2, (1, 1, 0), -8): (0, 46)
(6, 1, 2, (1, 1, 0), -7): (3, 92)
(6, 1, 2, (1, 1, 0), -6): (5, 152)
(6, 1, 2, (1, 1, 0), -5): (16, 254)
(6, 1, 2, (1, 1, 0), -4): (34, 371)
(6, 1, 2, (1, 1, 0), -3): (77, 512)
(6, 1, 2, (1, 1, 0), -2): (210, 725)
(6, 1, 2, (1, 1, 0), -1): (378, 937)
(6, 1, 2, (1, 1, 0), 0): (685, 1158)
(6, 1, 2, (1, 1, 0), 1): (876, 1124)
(6, 1, 2, (1, 1, 0), 2): (796, 914)
(6, 1, 2, (1, 1, 0), 3): (675, 714)
(6, 1, 2, (1, 1, 0), 4): (504, 521)
(6, 1, 2, (1, 1, 0), 5): (383, 389)
(6, 1, 2, (1, 1, 0), 6): (272, 274)
(6, 1, 2, (1, 1, 0), 7): (199, 200)
(6, 1, 2, (1, 1, 0), 8): (119, 120)
(6, 1, 2, (1, 1, 0), 9): (67, 68)
(6, 1, 2, (1, 1, 0), 10): (46, 46)
(6, 1, 2, (1, 1, 0), 11): (24, 24)
(6, 1, 2, (1, 1, 0), 12): (14, 14)
(6, 1, 2, (1, 1, 0), 13): (11, 11)
(6, 1, 2, (1, 1, 0), 14): (5, 5)
(6, 1, 2, (1, 1, 0), 15): (5, 5)
(6, 1, 2, (1, 1, 0), 16): (2, 2)
(6, 1, 2, (1, 1, 0), 17): (2, 2)
(6, 1, 2, (1, 1, 0), 20): (1, 1)
(6, 1, 2, (1, 1, 1), -13): (0, 2)
(6, 1, 2, (1, 1, 1), -12): (0, 1)
(6, 1, 2, (1, 1, 1), -11): (0, 1)
(6, 1, 2, (1, 1, 1), -10): (0, 5)
(6, 1, 2, (1, 1, 1), -9): (0, 7)
(6, 1, 2, (1, 1, 1), -8): (0, 13)
(6, 1, 2, (1, 1, 1), -7): (0, 19)
(6, 1, 2, (1, 1, 1), -6): (1, 35)
(6, 1, 2, (1, 1, 1), -5): (4, 66)
(6, 1, 2, (1, 1, 1), -4): (8, 82)
(6, 1, 2, (1, 1, 1), -3): (26, 146)
(6, 1, 2, (1, 1, 1), -2): (81, 234)
(6, 1, 2, (1, 1, 1), -1): (156, 326)
(6, 1, 2, (1, 1, 1), 0): (271, 453)
(6, 1, 2, (1, 1, 1), 1): (313, 394)
(6, 1, 2, (1, 1, 1), 2): (348, 381)
(6, 1, 2, (1, 1, 1), 3): (247, 259)
(6, 1, 2, (1, 1, 1), 4): (186, 192)
(6, 1, 2, (1, 1, 1), 5): (142, 145)
(6, 1, 2, (1, 1, 1), 6): (122, 122)
(6, 1, 2, (1, 1, 1), 7): (63, 63)
(6, 1, 2, (1, 1, 1), 8): (56, 56)
(6, 1, 2, (1, 1, 1), 9): (25, 25)
(6, 1, 2, (1, 1, 1), 10): (18, 18)
(6, 1, 2, (1, 1, 1), 11): (14, 14)
(6, 1, 2, (1, 1, 1), 12): (6, 6)
(6, 1, 2, (1, 1, 1), 13): (6, 6)
(6, 1, 2, (1, 1, 1), 14): (5, 5)
(6, 1, 2, (1, 1, 1), 16): (1, 1)
(6, 1, 2, (1, 1, 1), 17): (1, 1)
(7, 0, 0, (0, 0, 0), -21): (0, 1)
(7, 0, 0, (0, 0, 0), -20): (0, 1)
(7, 0, 0, (0, 0, 0), -18): (0, 2)
(7, 0, 0, (0, 0, 0), -17): (0, 5)
(7, 0, 0, (0, 0, 0), -16): (0, 7)
(7, 0, 0, (0, 0, 0), -15): (0, 11)
(7, 0, 0, (0, 0, 0), -14): (0, 20)
(7, 0, 0, (0, 0, 0), -13): (0, 48)
(7, 0, 0, (0, 0, 0), -12): (0, 82)
(7, 0, 0, (0, 0, 0), -11): (0, 160)
(7, 0, 0, (0, 0, 0), -10): (2, 269)
(7, 0, 0, (0, 0, 0), -9): (1, 406)
(7, 0, 0, (0, 0, 0), -8): (2, 637)
(7, 0, 0, (0, 0, 0), -7): (8, 980)
(7, 0, 0, (0, 0, 0), -6): (17, 1594)
(7, 0, 0, (0, 0, 0), -5): (74, 2362)
(7, 0, 0, (0, 0, 0), -4): (134, 3318)
(7, 0, 0, (0, 0, 0), -3): (357, 4638)
(7, 0, 0, (0, 0, 0), -2): (896, 6159)
(7, 0, 0, (0, 0, 0), -1): (2023, 7345)
(7, 0, 0, (0, 0, 0), 0): (3894, 8069)
(7, 0, 0, (0, 0, 0), 1): (4942, 7065)
(7, 0, 0, (0, 0, 0), 2): (4489, 5500)
(7, 0, 0, (0, 0, 0), 3): (3693, 4069)
(7, 0, 0, (0, 0, 0), 4): (2676, 2824)
(7, 0, 0, (0, 0, 0), 5): (1867, 1927)
(7, 0, 0, (0, 0, 0), 6): (1205, 1221)
(7, 0, 0, (0, 0, 0), 7): (702, 709)
(7, 0, 0, (0, 0, 0), 8): (469, 469)
(7, 0, 0, (0, 0, 0), 9): (254, 254)
(7, 0, 0, (0, 0, 0), 10): (155, 155)
(7, 0, 0, (0, 0, 0), 11): (98, 98)
(7, 0, 0, (0, 0, 0), 12): (51, 52)
(7, 0, 0, (0, 0, 0), 13): (33, 33)
(7, 0, 0, (0, 0, 0), 14): (15, 15)
(7, 0, 0, (0, 0, 0), 15): (8, 8)
(7, 0, 0, (0, 0, 0), 16): (6, 6)
(7, 0, 0, (0, 0, 0), 17): (1, 1)
(7, 0, 0, (0, 0, 0), 18): (1, 1)
(7, 0, 0, (0, 0, 0), 19): (1, 1)
(7, 0, 0, (0, 0, 0), 20): (2, 2)
(7, 0, 0, (0, 0, 0), 21): (1, 1)
(7, 0, 0, (0, 0, 1), -11): (0, 1)
(7, 0, 0, (0, 0, 1), -10): (0, 2)
(7, 0, 0, (0, 0, 1), -9): (0, 6)
(7, 0, 0, (0, 0, 1), -8): (1, 3)
(7, 0, 0, (0, 0, 1), -7): (0, 8)
(7, 0, 0, (0, 0, 1), -6): (0, 14)
(7, 0, 0, (0, 0, 1), -5): (0, 17)
(7, 0, 0, (0, 0, 1), -4): (3, 27)
(7, 0, 0, (0, 0, 1), -3): (4, 34)
(7, 0, 0, (0, 0, 1), -2): (14, 57)
(7, 0, 0, (0, 0, 1), -1): (26, 75)
(7, 0, 0, (0, 0, 1), 0): (57, 85)
(7, 0, 0, (0, 0, 1), 1): (82, 98)
(7, 0, 0, (0, 0, 1), 2): (67, 76)
(7, 0, 0, (0, 0, 1), 3): (64, 68)
(7, 0, 0, (0, 0, 1), 4): (46, 49)
(7, 0, 0, (0, 0, 1), 5): (43, 44)
(7, 0, 0, (0, 0, 1), 6): (18, 20)
(7, 0, 0, (0, 0, 1), 7): (12, 12)
(7, 0, 0, (0, 0, 1), 8): (5, 5)
(7, 0, 0, (0, 0, 1), 9): (2, 2)
(7, 0, 0, (0, 0, 1), 10): (2, 2)
(7, 0, 0, (0, 0, 1), 13): (1, 1)
(7, 0, 0, (0, 1, 0), -16): (0, 2)
(7, 0, 0, (0, 1, 0), -15): (0, 1)
(7, 0, 0, (0, 1, 0), -14): (0, 3)
(7, 0, 0, (0, 1, 0), -13): (0, 1)
(7, 0, 0, (0, 1, 0), -12): (0, 3)
(7, 0, 0, (0, 1, 0), -11): (0, 8)
(7, 0, 0, (0, 1, 0), -10): (0, 20)
(7, 0, 0, (0, 1, 0), -9): (0, 28)
(7, 0, 0, (0, 1, 0), -8): (0, 21)
(7, 0, 0, (0, 1, 0), -7): (0, 58)
(7, 0, 0, (0, 1, 0), -6): (4, 98)
(7, 0, 0, (0, 1, 0), -5): (13, 145)
(7, 0, 0, (0, 1, 0), -4): (13, 201)
(7, 0, 0, (0, 1, 0), -3): (36, 269)
(7, 0, 0, (0, 1, 0), -2): (84, 351)
(7, 0, 0, (0, 1, 0), -1): (209, 505)
(7, 0, 0, (0, 1, 0), 0): (322, 516)
(7, 0, 0, (0, 1, 0), 1): (385, 515)
(7, 0, 0, (0, 1, 0), 2): (391, 454)
(7, 0, 0, (0, 1, 0), 3): (318, 345)
(7, 0, 0, (0, 1, 0), 4): (261, 268)
(7, 0, 0, (0, 1, 0), 5): (157, 163)
(7, 0, 0, (0, 1, 0), 6): (98, 98)
(7, 0, 0, (0, 1, 0), 7): (61, 62)
(7, 0, 0, (0, 1, 0), 8): (46, 46)
(7, 0, 0, (0, 1, 0), 9): (14, 14)
(7, 0, 0, (0, 1, 0), 10): (9, 9)
(7, 0, 0, (0, 1, 0), 11): (7, 7)
(7, 0, 0, (0, 1, 0), 12): (2, 2)
(7, 0, 0, (0, 1, 0), 13): (2, 2)
(7, 0, 0, (0, 1, 0), 14): (1, 1)
(7, 0, 0, (0, 1, 0), 16): (1, 1)
(7, 0, 0, (0, 1, 1), -11): (0, 3)
(7, 0, 0, (0, 1, 1), -10): (0, 4)
(7, 0, 0, (0, 1, 1), -9): (0, 2)
(7, 0, 0, (0, 1, 1), -8): (0, 7)
(7, 0, 0, (0, 1, 1), -7): (1, 12)
(7, 0, 0, (0, 1, 1), -6): (1, 14)
(7, 0, 0, (0, 1, 1), -5): (2, 29)
(7, 0, 0, (0, 1, 1), -4): (8, 38)
(7, 0, 0, (0, 1, 1), -3): (10, 67)
(7, 0, 0, (0, 1, 1), -2): (31, 78)
(7, 0, 0, (0, 1, 1), -1): (48, 89)
(7, 0, 0, (0, 1, 1), 0): (66, 90)
(7, 0, 0, (0, 1, 1), 1): (73, 92)
(7, 0, 0, (0, 1, 1), 2): (63, 67)
(7, 0, 0, (0, 1, 1), 3): (62, 64)
(7, 0, 0, (0, 1, 1), 4): (40, 42)
(7, 0, 0, (0, 1, 1), 5): (33, 34)
(7, 0, 0, (0, 1, 1), 6): (21, 21)
(7, 0, 0, (0, 1, 1), 7): (21, 21)
(7, 0, 0, (0, 1, 1), 8): (9, 9)
(7, 0, 0, (0, 1, 1), 9): (6, 6)
(7, 0, 0, (0, 1, 1), 10): (5, 5)
(7, 0, 0, (0, 1, 1), 11): (3, 3)
(7, 0, 0, (0, 1, 1), 12): (1, 1)
(7, 0, 0, (1, 0, 0), -20): (0, 1)
(7, 0, 0, (1, 0, 0), -18): (0, 1)
(7, 0, 0, (1, 0, 0), -17): (0, 1)
(7, 0, 0, (1, 0, 0), -16): (0, 1)
(7, 0, 0, (1, 0, 0), -15): (0, 4)
(7, 0, 0, (1, 0, 0), -14): (0, 6)
(7, 0, 0, (1, 0, 0), -13): (0, 10)
(7, 0, 0, (1, 0, 0), -12): (0, 11)
(7, 0, 0, (1, 0, 0), -11): (0, 47)
(7, 0, 0, (1, 0, 0), -10): (1, 54)
(7, 0, 0, (1, 0, 0), -9): (1, 90)
(7, 0, 0, (1, 0, 0), -8): (0, 141)
(7, 0, 0, (1, 0, 0), -7): (3, 236)
(7, 0, 0, (1, 0, 0), -6): (5, 423)
(7, 0, 0, (1, 0, 0), -5): (35, 632)
(7, 0, 0, (1, 0, 0), -4): (56, 859)
(7, 0, 0, (1, 0, 0), -3): (160, 1180)
(7, 0, 0, (1, 0, 0), -2): (311, 1560)
(7, 0, 0, (1, 0, 0), -1): (620, 1959)
(7, 0, 0, (1, 0, 0), 0): (1077, 2041)
(7, 0, 0, (1, 0, 0), 1): (1268, 1734)
(7, 0, 0, (1, 0, 0), 2): (1154, 1378)
(7, 0, 0, (1, 0, 0), 3): (968, 1052)
(7, 0, 0, (1, 0, 0), 4): (738, 757)
(7, 0, 0, (1, 0, 0), 5): (484, 498)
(7, 0, 0, (1, 0, 0), 6): (339, 343)
(7, 0, 0, (1, 0, 0), 7): (199, 203)
(7, 0, 0, (1, 0, 0), 8): (115, 115)
(7, 0, 0, (1, 0, 0), 9): (66, 66)
(7, 0, 0, (1, 0, 0), 10): (43, 43)
(7, 0, 0, (1, 0, 0), 11): (24, 24)
(7, 0, 0, (1, 0, 0), 12): (10, 10)
(7, 0, 0, (1, 0, 0), 13): (4, 4)
(7, 0, 0, (1, 0, 0), 14): (1, 1)
(7, 0, 0, (1, 0, 0), 15): (1, 1)
(7, 0, 0, (1, 0, 0), 16): (2, 2)
(7, 0, 0, (1, 0, 0), 19): (1, 1)
(7, 0, 0, (1, 0, 0), 20): (1, 1)
(7, 0, 0, (1, 0, 1), -14): (0, 1)
(7, 0, 0, (1, 0, 1), -12): (0, 1)
(7, 0, 0, (1, 0, 1), -11): (0, 3)
(7, 0, 0, (1, 0, 1), -10): (0, 7)
(7, 0, 0, (1, 0, 1), -9): (0, 7)
(7, 0, 0, (1, 0, 1), -8): (0, 6)
(7, 0, 0, (1, 0, 1), -7): (1, 20)
(7, 0, 0, (1, 0, 1), -6): (2, 23)
(7, 0, 0, (1, 0, 1), -5): (4, 42)
(7, 0, 0, (1, 0, 1), -4): (7, 59)
(7, 0, 0, (1, 0, 1), -3): (14, 95)
(7, 0, 0, (1, 0, 1), -2): (36, 131)
(7, 0, 0, (1, 0, 1), -1): (93, 183)
(7, 0, 0, (1, 0, 1), 0): (98, 141)
(7, 0, 0, (1, 0, 1), 1): (130, 153)
(7, 0, 0, (1, 0, 1), 2): (144, 160)
(7, 0, 0, (1, 0, 1), 3): (112, 120)
(7, 0, 0, (1, 0, 1), 4): (73, 74)
(7, 0, 0, (1, 0, 1), 5): (54, 56)
(7, 0, 0, (1, 0, 1), 6): (31, 32)
(7, 0, 0, (1, 0, 1), 7): (24, 24)
(7, 0, 0, (1, 0, 1), 8): (11, 11)
(7, 0, 0, (1, 0, 1), 9): (6, 6)
(7, 0, 0, (1, 0, 1), 10): (6, 6)
(7, 0, 0, (1, 0, 1), 11): (3, 3)
(7, 0, 0, (1, 0, 1), 12): (2, 2)
(7, 0, 0, (1, 0, 1), 13): (1, 1)
(7, 0, 0, (1, 1, 0), -14): (0, 2)
(7, 0, 0, (1, 1, 0), -13): (0, 2)
(7, 0, 0, (1, 1, 0), -12): (0, 4)
(7, 0, 0, (1, 1, 0), -11): (0, 13)
(7, 0, 0, (1, 1, 0), -10): (1, 13)
(7, 0, 0, (1, 1, 0), -9): (0, 24)
(7, 0, 0, (1, 1, 0), -8): (0, 31)
(7, 0, 0, (1, 1, 0), -7): (1, 52)
(7, 0, 0, (1, 1, 0), -6): (0, 90)
(7, 0, 0, (1, 1, 0), -5): (18, 174)
(7, 0, 0, (1, 1, 0), -4): (18, 222)
(7, 0, 0, (1, 1, 0), -3): (58, 311)
(7, 0, 0, (1, 1, 0), -2): (116, 356)
(7, 0, 0, (1, 1, 0), -1): (172, 387)
(7, 0, 0, (1, 1, 0), 0): (237, 365)
(7, 0, 0, (1, 1, 0), 1): (263, 338)
(7, 0, 0, (1, 1, 0), 2): (239, 274)
(7, 0, 0, (1, 1, 0), 3): (218, 236)
(7, 0, 0, (1, 1, 0), 4): (195, 204)
(7, 0, 0, (1, 1, 0), 5): (117, 119)
(7, 0, 0, (1, 1, 0), 6): (110, 111)
(7, 0, 0, (1, 1, 0), 7): (51, 51)
(7, 0, 0, (1, 1, 0), 8): (26, 26)
(7, 0, 0, (1, 1, 0), 9): (22, 22)
(7, 0, 0, (1, 1, 0), 10): (11, 11)
(7, 0, 0, (1, 1, 0), 11): (10, 10)
(7, 0, 0, (1, 1, 0), 12): (2, 2)
(7, 0, 0, (1, 1, 0), 13): (1, 1)
(7, 0, 0, (1, 1, 1), -14): (0, 1)
(7, 0, 0, (1, 1, 1), -11): (0, 4)
(7, 0, 0, (1, 1, 1), -10): (1, 6)
(7, 0, 0, (1, 1, 1), -9): (0, 4)
(7, 0, 0, (1, 1, 1), -8): (0, 8)
(7, 0, 0, (1, 1, 1), -7): (0, 13)
(7, 0, 0, (1, 1, 1), -6): (0, 21)
(7, 0, 0, (1, 1, 1), -5): (5, 35)
(7, 0, 0, (1, 1, 1), -4): (7, 44)
(7, 0, 0, (1, 1, 1), -3): (19, 66)
(7, 0, 0, (1, 1, 1), -2): (31, 80)
(7, 0, 0, (1, 1, 1), -1): (49, 87)
(7, 0, 0, (1, 1, 1), 0): (63, 86)
(7, 0, 0, (1, 1, 1), 1): (80, 98)
(7, 0, 0, (1, 1, 1), 2): (73, 82)
(7, 0, 0, (1, 1, 1), 3): (51, 57)
(7, 0, 0, (1, 1, 1), 4): (48, 48)
(7, 0, 0, (1, 1, 1), 5): (28, 29)
(7, 0, 0, (1, 1, 1), 6): (31, 32)
(7, 0, 0, (1, 1, 1), 7): (19, 19)
(7, 0, 0, (1, 1, 1), 8): (6, 6)
(7, 0, 0, (1, 1, 1), 9): (6, 6)
(7, 0, 0, (1, 1, 1), 10): (5, 5)
(7, 0, 0, (1, 1, 1), 11): (2, 2)
(7, 0, 0, (1, 1, 1), 12): (1, 1)
(7, 0, 1, (0, 0, 0), -21): (0, 1)
(7, 0, 1, (0, 0, 0), -18): (0, 1)
(7, 0, 1, (0, 0, 0), -17): (0, 4)
(7, 0, 1, (0, 0, 0), -16): (0, 4)
(7, 0, 1, (0, 0, 0), -15): (0, 5)
(7, 0, 1, (0, 0, 0), -14): (0, 12)
(7, 0, 1, (0, 0, 0), -13): (0, 36)
(7, 0, 1, (0, 0, 0), -12): (0, 64)
(7, 0, 1, (0, 0, 0), -11): (0, 105)
(7, 0, 1, (0, 0, 0), -10): (1, 187)
(7, 0, 1, (0, 0, 0), -9): (0, 285)
(7, 0, 1, (0, 0, 0), -8): (1, 468)
(7, 0, 1, (0, 0, 0), -7): (6, 693)
(7, 0, 1, (0, 0, 0), -6): (6, 1063)
(7, 0, 1, (0, 0, 0), -5): (27, 1600)
(7, 0, 1, (0, 0, 0), -4): (63, 2274)
(7, 0, 1, (0, 0, 0), -3): (163, 3218)
(7, 0, 1, (0, 0, 0), -2): (506, 4329)
(7, 0, 1, (0, 0, 0), -1): (1219, 5096)
(7, 0, 1, (0, 0, 0), 0): (2579, 5767)
(7, 0, 1, (0, 0, 0), 1): (3506, 5171)
(7, 0, 1, (0, 0, 0), 2): (3288, 4080)
(7, 0, 1, (0, 0, 0), 3): (2678, 2970)
(7, 0, 1, (0, 0, 0), 4): (1947, 2079)
(7, 0, 1, (0, 0, 0), 5): (1382, 1435)
(7, 0, 1, (0, 0, 0), 6): (879, 892)
(7, 0, 1, (0, 0, 0), 7): (530, 533)
(7, 0, 1, (0, 0, 0), 8): (356, 357)
(7, 0, 1, (0, 0, 0), 9): (199, 199)
(7, 0, 1, (0, 0, 0), 10): (123, 123)
(7, 0, 1, (0, 0, 0), 11): (79, 79)
(7, 0, 1, (0, 0, 0), 12): (47, 48)
(7, 0, 1, (0, 0, 0), 13): (31, 31)
(7, 0, 1, (0, 0, 0), 14): (14, 14)
(7, 0, 1, (0, 0, 0), 15): (9, 9)
(7, 0, 1, (0, 0, 0), 16): (5, 5)
(7, 0, 1, (0, 0, 0), 17): (1, 1)
(7, 0, 1, (0, 0, 0), 18): (2, 2)
(7, 0, 1, (0, 0, 0), 20): (1, 1)
(7, 0, 1, (0, 0, 0), 21): (1, 1)
(7, 0, 1, (0, 0, 1), -16): (0, 1)
(7, 0, 1, (0, 0, 1), -12): (0, 4)
(7, 0, 1, (0, 0, 1), -11): (0, 3)
(7, 0, 1, (0, 0, 1), -10): (0, 8)
(7, 0, 1, (0, 0, 1), -9): (0, 17)
(7, 0, 1, (0, 0, 1), -8): (0, 12)
(7, 0, 1, (0, 0, 1), -7): (0, 18)
(7, 0, 1, (0, 0, 1), -6): (0, 31)
(7, 0, 1, (0, 0, 1), -5): (5, 63)
(7, 0, 1, (0, 0, 1), -4): (2, 90)
(7, 0, 1, (0, 0, 1), -3): (14, 112)
(7, 0, 1, (0, 0, 1), -2): (31, 184)
(7, 0, 1, (0, 0, 1), -1): (109, 319)
(7, 0, 1, (0, 0, 1), 0): (219, 358)
(7, 0, 1, (0, 0, 1), 1): (249, 331)
(7, 0, 1, (0, 0, 1), 2): (261, 304)
(7, 0, 1, (0, 0, 1), 3): (223, 242)
(7, 0, 1, (0, 0, 1), 4): (188, 196)
(7, 0, 1, (0, 0, 1), 5): (128, 129)
(7, 0, 1, (0, 0, 1), 6): (55, 55)
(7, 0, 1, (0, 0, 1), 7): (41, 41)
(7, 0, 1, (0, 0, 1), 8): (25, 25)
(7, 0, 1, (0, 0, 1), 9): (8, 8)
(7, 0, 1, (0, 0, 1), 10): (10, 10)
(7, 0, 1, (0, 0, 1), 11): (3, 3)
(7, 0, 1, (0, 0, 1), 12): (1, 1)
(7, 0, 1, (0, 0, 1), 13): (3, 3)
(7, 0, 1, (0, 0, 1), 14): (2, 2)
(7, 0, 1, (0, 1, 0), -17): (0, 1)
(7, 0, 1, (0, 1, 0), -16): (0, 1)
(7, 0, 1, (0, 1, 0), -15): (0, 3)
(7, 0, 1, (0, 1, 0), -14): (0, 1)
(7, 0, 1, (0, 1, 0), -13): (0, 2)
(7, 0, 1, (0, 1, 0), -12): (0, 5)
(7, 0, 1, (0, 1, 0), -11): (0, 12)
(7, 0, 1, (0, 1, 0), -10): (0, 20)
(7, 0, 1, (0, 1, 0), -9): (0, 36)
(7, 0, 1, (0, 1, 0), -8): (0, 55)
(7, 0, 1, (0, 1, 0), -7): (0, 80)
(7, 0, 1, (0, 1, 0), -6): (1, 141)
(7, 0, 1, (0, 1, 0), -5): (8, 228)
(7, 0, 1, (0, 1, 0), -4): (20, 321)
(7, 0, 1, (0, 1, 0), -3): (43, 432)
(7, 0, 1, (0, 1, 0), -2): (103, 596)
(7, 0, 1, (0, 1, 0), -1): (318, 998)
(7, 0, 1, (0, 1, 0), 0): (635, 1219)
(7, 0, 1, (0, 1, 0), 1): (865, 1190)
(7, 0, 1, (0, 1, 0), 2): (762, 932)
(7, 0, 1, (0, 1, 0), 3): (643, 699)
(7, 0, 1, (0, 1, 0), 4): (485, 506)
(7, 0, 1, (0, 1, 0), 5): (274, 285)
(7, 0, 1, (0, 1, 0), 6): (187, 187)
(7, 0, 1, (0, 1, 0), 7): (103, 104)
(7, 0, 1, (0, 1, 0), 8): (77, 77)
(7, 0, 1, (0, 1, 0), 9): (44, 44)
(7, 0, 1, (0, 1, 0), 10): (19, 19)
(7, 0, 1, (0, 1, 0), 11): (14, 14)
(7, 0, 1, (0, 1, 0), 12): (5, 5)
(7, 0, 1, (0, 1, 0), 13): (3, 3)
(7, 0, 1, (0, 1, 0), 14): (2, 2)
(7, 0, 1, (0, 1, 0), 16): (2, 2)
(7, 0, 1, (0, 1, 1), -14): (0, 1)
(7, 0, 1, (0, 1, 1), -12): (0, 2)
(7, 0, 1, (0, 1, 1), -11): (0, 3)
(7, 0, 1, (0, 1, 1), -10): (0, 2)
(7, 0, 1, (0, 1, 1), -9): (0, 7)
(7, 0, 1, (0, 1, 1), -8): (0, 13)
(7, 0, 1, (0, 1, 1), -7): (0, 18)
(7, 0, 1, (0, 1, 1), -6): (1, 38)
(7, 0, 1, (0, 1, 1), -5): (1, 58)
(7, 0, 1, (0, 1, 1), -4): (4, 93)
(7, 0, 1, (0, 1, 1), -3): (8, 119)
(7, 0, 1, (0, 1, 1), -2): (60, 189)
(7, 0, 1, (0, 1, 1), -1): (112, 276)
(7, 0, 1, (0, 1, 1), 0): (208, 310)
(7, 0, 1, (0, 1, 1), 1): (240, 306)
(7, 0, 1, (0, 1, 1), 2): (191, 219)
(7, 0, 1, (0, 1, 1), 3): (183, 195)
(7, 0, 1, (0, 1, 1), 4): (117, 124)
(7, 0, 1, (0, 1, 1), 5): (95, 102)
(7, 0, 1, (0, 1, 1), 6): (61, 61)
(7, 0, 1, (0, 1, 1), 7): (41, 41)
(7, 0, 1, (0, 1, 1), 8): (18, 18)
(7, 0, 1, (0, 1, 1), 9): (16, 16)
(7, 0, 1, (0, 1, 1), 10): (12, 12)
(7, 0, 1, (0, 1, 1), 11): (4, 4)
(7, 0, 1, (0, 1, 1), 12): (2, 2)
(7, 0, 1, (0, 1, 1), 13): (3, 3)
(7, 0, 1, (0, 1, 1), 14): (2, 2)
(7, 0, 1, (1, 0, 0), -21): (0, 1)
(7, 0, 1, (1, 0, 0), -18): (0, 1)
(7, 0, 1, (1, 0, 0), -17): (0, 2)
(7, 0, 1, (1, 0, 0), -16): (0, 2)
(7, 0, 1, (1, 0, 0), -15): (0, 3)
(7, 0, 1, (1, 0, 0), -14): (0, 2)
(7, 0, 1, (1, 0, 0), -13): (0, 18)
(7, 0, 1, (1, 0, 0), -12): (0, 19)
(7, 0, 1, (1, 0, 0), -11): (0, 38)
(7, 0, 1, (1, 0, 0), -10): (0, 74)
(7, 0, 1, (1, 0, 0), -9): (0, 135)
(7, 0, 1, (1, 0, 0), -8): (1, 195)
(7, 0, 1, (1, 0, 0), -7): (1, 289)
(7, 0, 1, (1, 0, 0), -6): (5, 463)
(7, 0, 1, (1, 0, 0), -5): (23, 696)
(7, 0, 1, (1, 0, 0), -4): (41, 984)
(7, 0, 1, (1, 0, 0), -3): (117, 1297)
(7, 0, 1, (1, 0, 0), -2): (268, 1858)
(7, 0, 1, (1, 0, 0), -1): (583, 2107)
(7, 0, 1, (1, 0, 0), 0): (1135, 2314)
(7, 0, 1, (1, 0, 0), 1): (1389, 1995)
(7, 0, 1, (1, 0, 0), 2): (1254, 1540)
(7, 0, 1, (1, 0, 0), 3): (1177, 1289)
(7, 0, 1, (1, 0, 0), 4): (825, 865)
(7, 0, 1, (1, 0, 0), 5): (593, 614)
(7, 0, 1, (1, 0, 0), 6): (430, 434)
(7, 0, 1, (1, 0, 0), 7): (265, 269)
(7, 0, 1, (1, 0, 0), 8): (176, 176)
(7, 0, 1, (1, 0, 0), 9): (86, 86)
(7, 0, 1, (1, 0, 0), 10): (58, 58)
(7, 0, 1, (1, 0, 0), 11): (29, 29)
(7, 0, 1, (1, 0, 0), 12): (32, 33)
(7, 0, 1, (1, 0, 0), 13): (17, 17)
(7, 0, 1, (1, 0, 0), 14): (3, 3)
(7, 0, 1, (1, 0, 0), 15): (5, 5)
(7, 0, 1, (1, 0, 0), 16): (1, 1)
(7, 0, 1, (1, 0, 0), 17): (1, 1)
(7, 0, 1, (1, 0, 0), 19): (1, 1)
(7, 0, 1, (1, 0, 0), 20): (1, 1)
(7, 0, 1, (1, 0, 1), -17): (0, 1)
(7, 0, 1, (1, 0, 1), -13): (0, 1)
(7, 0, 1, (1, 0, 1), -12): (0, 4)
(7, 0, 1, (1, 0, 1), -11): (0, 11)
(7, 0, 1, (1, 0, 1), -10): (0, 16)
(7, 0, 1, (1, 0, 1), -9): (0, 13)
(7, 0, 1, (1, 0, 1), -8): (0, 19)
(7, 0, 1, (1, 0, 1), -7): (0, 34)
(7, 0, 1, (1, 0, 1), -6): (1, 50)
(7, 0, 1, (1, 0, 1), -5): (10, 98)
(7, 0, 1, (1, 0, 1), -4): (13, 119)
(7, 0, 1, (1, 0, 1), -3): (27, 190)
(7, 0, 1, (1, 0, 1), -2): (63, 268)
(7, 0, 1, (1, 0, 1), -1): (129, 325)
(7, 0, 1, (1, 0, 1), 0): (258, 416)
(7, 0, 1, (1, 0, 1), 1): (274, 357)
(7, 0, 1, (1, 0, 1), 2): (259, 304)
(7, 0, 1, (1, 0, 1), 3): (230, 251)
(7, 0, 1, (1, 0, 1), 4): (204, 211)
(7, 0, 1, (1, 0, 1), 5): (132, 136)
(7, 0, 1, (1, 0, 1), 6): (81, 81)
(7, 0, 1, (1, 0, 1), 7): (58, 58)
(7, 0, 1, (1, 0, 1), 8): (34, 34)
(7, 0, 1, (1, 0, 1), 9): (19, 19)
(7, 0, 1, (1, 0, 1), 10): (13, 13)
(7, 0, 1, (1, 0, 1), 11): (5, 5)
(7, 0, 1, (1, 0, 1), 12): (3, 3)
(7, 0, 1, (1, 0, 1), 13): (3, 3)
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(7, 0, 1, (1, 1, 0), -17): (0, 1)
(7, 0, 1, (1, 1, 0), -16): (0, 1)
(7, 0, 1, (1, 1, 0), -15): (0, 1)
(7, 0, 1, (1, 1, 0), -13): (0, 6)
(7, 0, 1, (1, 1, 0), -12): (0, 7)
(7, 0, 1, (1, 1, 0), -11): (0, 16)
(7, 0, 1, (1, 1, 0), -10): (0, 18)
(7, 0, 1, (1, 1, 0), -9): (0, 42)
(7, 0, 1, (1, 1, 0), -8): (0, 57)
(7, 0, 1, (1, 1, 0), -7): (1, 102)
(7, 0, 1, (1, 1, 0), -6): (1, 162)
(7, 0, 1, (1, 1, 0), -5): (11, 238)
(7, 0, 1, (1, 1, 0), -4): (17, 343)
(7, 0, 1, (1, 1, 0), -3): (65, 468)
(7, 0, 1, (1, 1, 0), -2): (134, 624)
(7, 0, 1, (1, 1, 0), -1): (246, 683)
(7, 0, 1, (1, 1, 0), 0): (389, 786)
(7, 0, 1, (1, 1, 0), 1): (546, 733)
(7, 0, 1, (1, 1, 0), 2): (501, 598)
(7, 0, 1, (1, 1, 0), 3): (480, 517)
(7, 0, 1, (1, 1, 0), 4): (345, 358)
(7, 0, 1, (1, 1, 0), 5): (239, 245)
(7, 0, 1, (1, 1, 0), 6): (184, 185)
(7, 0, 1, (1, 1, 0), 7): (123, 123)
(7, 0, 1, (1, 1, 0), 8): (81, 81)
(7, 0, 1, (1, 1, 0), 9): (48, 48)
(7, 0, 1, (1, 1, 0), 10): (27, 27)
(7, 0, 1, (1, 1, 0), 11): (24, 24)
(7, 0, 1, (1, 1, 0), 12): (9, 9)
(7, 0, 1, (1, 1, 0), 13): (7, 7)
(7, 0, 1, (1, 1, 0), 14): (2, 2)
(7, 0, 1, (1, 1, 0), 15): (2, 2)
(7, 0, 1, (1, 1, 0), 16): (2, 2)
(7, 0, 1, (1, 1, 1), -14): (0, 1)
(7, 0, 1, (1, 1, 1), -12): (0, 2)
(7, 0, 1, (1, 1, 1), -11): (0, 3)
(7, 0, 1, (1, 1, 1), -10): (0, 2)
(7, 0, 1, (1, 1, 1), -9): (0, 10)
(7, 0, 1, (1, 1, 1), -8): (0, 16)
(7, 0, 1, (1, 1, 1), -7): (0, 25)
(7, 0, 1, (1, 1, 1), -6): (1, 43)
(7, 0, 1, (1, 1, 1), -5): (2, 53)
(7, 0, 1, (1, 1, 1), -4): (11, 88)
(7, 0, 1, (1, 1, 1), -3): (34, 122)
(7, 0, 1, (1, 1, 1), -2): (50, 166)
(7, 0, 1, (1, 1, 1), -1): (111, 269)
(7, 0, 1, (1, 1, 1), 0): (224, 371)
(7, 0, 1, (1, 1, 1), 1): (260, 328)
(7, 0, 1, (1, 1, 1), 2): (210, 239)
(7, 0, 1, (1, 1, 1), 3): (208, 229)
(7, 0, 1, (1, 1, 1), 4): (160, 164)
(7, 0, 1, (1, 1, 1), 5): (108, 108)
(7, 0, 1, (1, 1, 1), 6): (72, 73)
(7, 0, 1, (1, 1, 1), 7): (48, 48)
(7, 0, 1, (1, 1, 1), 8): (24, 24)
(7, 0, 1, (1, 1, 1), 9): (14, 14)
(7, 0, 1, (1, 1, 1), 10): (6, 6)
(7, 0, 1, (1, 1, 1), 11): (9, 9)
(7, 0, 1, (1, 1, 1), 12): (4, 4)
(7, 0, 1, (1, 1, 1), 13): (3, 3)
(7, 0, 2, (0, 0, 0), -18): (0, 1)
(7, 0, 2, (0, 0, 0), -17): (0, 2)
(7, 0, 2, (0, 0, 0), -16): (0, 4)
(7, 0, 2, (0, 0, 0), -15): (0, 5)
(7, 0, 2, (0, 0, 0), -14): (0, 13)
(7, 0, 2, (0, 0, 0), -13): (0, 25)
(7, 0, 2, (0, 0, 0), -12): (0, 44)
(7, 0, 2, (0, 0, 0), -11): (0, 91)
(7, 0, 2, (0, 0, 0), -10): (1, 137)
(7, 0, 2, (0, 0, 0), -9): (0, 207)
(7, 0, 2, (0, 0, 0), -8): (0, 346)
(7, 0, 2, (0, 0, 0), -7): (5, 525)
(7, 0, 2, (0, 0, 0), -6): (6, 816)
(7, 0, 2, (0, 0, 0), -5): (15, 1170)
(7, 0, 2, (0, 0, 0), -4): (43, 1747)
(7, 0, 2, (0, 0, 0), -3): (103, 2514)
(7, 0, 2, (0, 0, 0), -2): (331, 3340)
(7, 0, 2, (0, 0, 0), -1): (782, 3897)
(7, 0, 2, (0, 0, 0), 0): (1846, 4469)
(7, 0, 2, (0, 0, 0), 1): (2670, 4034)
(7, 0, 2, (0, 0, 0), 2): (2639, 3305)
(7, 0, 2, (0, 0, 0), 3): (2154, 2406)
(7, 0, 2, (0, 0, 0), 4): (1626, 1735)
(7, 0, 2, (0, 0, 0), 5): (1180, 1227)
(7, 0, 2, (0, 0, 0), 6): (751, 764)
(7, 0, 2, (0, 0, 0), 7): (455, 458)
(7, 0, 2, (0, 0, 0), 8): (319, 321)
(7, 0, 2, (0, 0, 0), 9): (190, 190)
(7, 0, 2, (0, 0, 0), 10): (101, 101)
(7, 0, 2, (0, 0, 0), 11): (77, 77)
(7, 0, 2, (0, 0, 0), 12): (42, 42)
(7, 0, 2, (0, 0, 0), 13): (20, 20)
(7, 0, 2, (0, 0, 0), 14): (12, 12)
(7, 0, 2, (0, 0, 0), 15): (11, 11)
(7, 0, 2, (0, 0, 0), 16): (6, 6)
(7, 0, 2, (0, 0, 0), 18): (2, 2)
(7, 0, 2, (0, 0, 0), 20): (1, 1)
(7, 0, 2, (0, 0, 0), 21): (1, 1)
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(7, 0, 2, (0, 0, 1), -13): (0, 2)
(7, 0, 2, (0, 0, 1), -12): (0, 1)
(7, 0, 2, (0, 0, 1), -11): (0, 2)
(7, 0, 2, (0, 0, 1), -10): (0, 16)
(7, 0, 2, (0, 0, 1), -9): (1, 18)
(7, 0, 2, (0, 0, 1), -8): (0, 24)
(7, 0, 2, (0, 0, 1), -7): (0, 26)
(7, 0, 2, (0, 0, 1), -6): (1, 71)
(7, 0, 2, (0, 0, 1), -5): (1, 109)
(7, 0, 2, (0, 0, 1), -4): (4, 160)
(7, 0, 2, (0, 0, 1), -3): (11, 194)
(7, 0, 2, (0, 0, 1), -2): (36, 301)
(7, 0, 2, (0, 0, 1), -1): (114, 455)
(7, 0, 2, (0, 0, 1), 0): (222, 486)
(7, 0, 2, (0, 0, 1), 1): (354, 521)
(7, 0, 2, (0, 0, 1), 2): (370, 456)
(7, 0, 2, (0, 0, 1), 3): (285, 315)
(7, 0, 2, (0, 0, 1), 4): (262, 275)
(7, 0, 2, (0, 0, 1), 5): (163, 167)
(7, 0, 2, (0, 0, 1), 6): (117, 121)
(7, 0, 2, (0, 0, 1), 7): (61, 62)
(7, 0, 2, (0, 0, 1), 8): (60, 60)
(7, 0, 2, (0, 0, 1), 9): (20, 20)
(7, 0, 2, (0, 0, 1), 10): (20, 20)
(7, 0, 2, (0, 0, 1), 11): (7, 7)
(7, 0, 2, (0, 0, 1), 12): (7, 7)
(7, 0, 2, (0, 0, 1), 13): (4, 4)
(7, 0, 2, (0, 0, 1), 14): (2, 2)
(7, 0, 2, (0, 0, 1), 15): (1, 1)
(7, 0, 2, (0, 1, 0), -16): (0, 2)
(7, 0, 2, (0, 1, 0), -15): (0, 3)
(7, 0, 2, (0, 1, 0), -14): (0, 4)
(7, 0, 2, (0, 1, 0), -13): (0, 4)
(7, 0, 2, (0, 1, 0), -12): (0, 6)
(7, 0, 2, (0, 1, 0), -11): (0, 18)
(7, 0, 2, (0, 1, 0), -10): (0, 31)
(7, 0, 2, (0, 1, 0), -9): (0, 42)
(7, 0, 2, (0, 1, 0), -8): (1, 59)
(7, 0, 2, (0, 1, 0), -7): (2, 112)
(7, 0, 2, (0, 1, 0), -6): (0, 170)
(7, 0, 2, (0, 1, 0), -5): (9, 277)
(7, 0, 2, (0, 1, 0), -4): (17, 384)
(7, 0, 2, (0, 1, 0), -3): (31, 539)
(7, 0, 2, (0, 1, 0), -2): (98, 738)
(7, 0, 2, (0, 1, 0), -1): (268, 1109)
(7, 0, 2, (0, 1, 0), 0): (616, 1332)
(7, 0, 2, (0, 1, 0), 1): (859, 1278)
(7, 0, 2, (0, 1, 0), 2): (892, 1123)
(7, 0, 2, (0, 1, 0), 3): (744, 834)
(7, 0, 2, (0, 1, 0), 4): (558, 598)
(7, 0, 2, (0, 1, 0), 5): (394, 410)
(7, 0, 2, (0, 1, 0), 6): (251, 253)
(7, 0, 2, (0, 1, 0), 7): (146, 146)
(7, 0, 2, (0, 1, 0), 8): (100, 100)
(7, 0, 2, (0, 1, 0), 9): (71, 71)
(7, 0, 2, (0, 1, 0), 10): (38, 38)
(7, 0, 2, (0, 1, 0), 11): (20, 20)
(7, 0, 2, (0, 1, 0), 12): (10, 10)
(7, 0, 2, (0, 1, 0), 13): (3, 3)
(7, 0, 2, (0, 1, 0), 14): (7, 7)
(7, 0, 2, (0, 1, 0), 15): (2, 2)
(7, 0, 2, (0, 1, 0), 16): (2, 2)
(7, 0, 2, (0, 1, 1), -16): (0, 1)
(7, 0, 2, (0, 1, 1), -13): (0, 3)
(7, 0, 2, (0, 1, 1), -11): (0, 7)
(7, 0, 2, (0, 1, 1), -10): (0, 3)
(7, 0, 2, (0, 1, 1), -9): (0, 10)
(7, 0, 2, (0, 1, 1), -8): (0, 14)
(7, 0, 2, (0, 1, 1), -7): (0, 24)
(7, 0, 2, (0, 1, 1), -6): (0, 47)
(7, 0, 2, (0, 1, 1), -5): (4, 70)
(7, 0, 2, (0, 1, 1), -4): (7, 106)
(7, 0, 2, (0, 1, 1), -3): (10, 139)
(7, 0, 2, (0, 1, 1), -2): (40, 191)
(7, 0, 2, (0, 1, 1), -1): (53, 226)
(7, 0, 2, (0, 1, 1), 0): (135, 283)
(7, 0, 2, (0, 1, 1), 1): (196, 279)
(7, 0, 2, (0, 1, 1), 2): (207, 255)
(7, 0, 2, (0, 1, 1), 3): (161, 179)
(7, 0, 2, (0, 1, 1), 4): (178, 189)
(7, 0, 2, (0, 1, 1), 5): (106, 113)
(7, 0, 2, (0, 1, 1), 6): (72, 72)
(7, 0, 2, (0, 1, 1), 7): (46, 47)
(7, 0, 2, (0, 1, 1), 8): (37, 37)
(7, 0, 2, (0, 1, 1), 9): (18, 18)
(7, 0, 2, (0, 1, 1), 10): (14, 14)
(7, 0, 2, (0, 1, 1), 11): (4, 4)
(7, 0, 2, (0, 1, 1), 12): (8, 8)
(7, 0, 2, (0, 1, 1), 13): (2, 2)
(7, 0, 2, (0, 1, 1), 14): (2, 2)
(7, 0, 2, (0, 1, 1), 15): (1, 1)
(7, 0, 2, (0, 1, 1), 16): (1, 1)
(7, 0, 2, (0, 1, 1), 18): (1, 1)
(7, 0, 2, (1, 0, 0), -21): (0, 1)
(7, 0, 2, (1, 0, 0), -17): (0, 1)
(7, 0, 2, (1, 0, 0), -16): (0, 5)
(7, 0, 2, (1, 0, 0), -15): (0, 3)
(7, 0, 2, (1, 0, 0), -14): (0, 7)
(7, 0, 2, (1, 0, 0), -13): (0, 16)
(7, 0, 2, (1, 0, 0), -12): (0, 23)
(7, 0, 2, (1, 0, 0), -11): (0, 38)
(7, 0, 2, (1, 0, 0), -10): (0, 60)
(7, 0, 2, (1, 0, 0), -9): (0, 128)
(7, 0, 2, (1, 0, 0), -8): (0, 180)
(7, 0, 2, (1, 0, 0), -7): (0, 266)
(7, 0, 2, (1, 0, 0), -6): (5, 461)
(7, 0, 2, (1, 0, 0), -5): (13, 640)
(7, 0, 2, (1, 0, 0), -4): (31, 974)
(7, 0, 2, (1, 0, 0), -3): (82, 1276)
(7, 0, 2, (1, 0, 0), -2): (205, 1791)
(7, 0, 2, (1, 0, 0), -1): (486, 2120)
(7, 0, 2, (1, 0, 0), 0): (1008, 2272)
(7, 0, 2, (1, 0, 0), 1): (1322, 1979)
(7, 0, 2, (1, 0, 0), 2): (1316, 1634)
(7, 0, 2, (1, 0, 0), 3): (1150, 1289)
(7, 0, 2, (1, 0, 0), 4): (912, 969)
(7, 0, 2, (1, 0, 0), 5): (669, 693)
(7, 0, 2, (1, 0, 0), 6): (473, 478)
(7, 0, 2, (1, 0, 0), 7): (311, 318)
(7, 0, 2, (1, 0, 0), 8): (194, 194)
(7, 0, 2, (1, 0, 0), 9): (111, 111)
(7, 0, 2, (1, 0, 0), 10): (74, 74)
(7, 0, 2, (1, 0, 0), 11): (48, 48)
(7, 0, 2, (1, 0, 0), 12): (37, 38)
(7, 0, 2, (1, 0, 0), 13): (16, 16)
(7, 0, 2, (1, 0, 0), 14): (9, 9)
(7, 0, 2, (1, 0, 0), 15): (7, 7)
(7, 0, 2, (1, 0, 0), 16): (3, 3)
(7, 0, 2, (1, 0, 0), 17): (1, 1)
(7, 0, 2, (1, 0, 0), 19): (1, 1)
(7, 0, 2, (1, 0, 0), 20): (1, 1)
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(7, 0, 2, (1, 0, 1), -16): (0, 1)
(7, 0, 2, (1, 0, 1), -13): (0, 2)
(7, 0, 2, (1, 0, 1), -12): (0, 3)
(7, 0, 2, (1, 0, 1), -11): (0, 7)
(7, 0, 2, (1, 0, 1), -10): (0, 10)
(7, 0, 2, (1, 0, 1), -9): (0, 18)
(7, 0, 2, (1, 0, 1), -8): (0, 27)
(7, 0, 2, (1, 0, 1), -7): (0, 35)
(7, 0, 2, (1, 0, 1), -6): (1, 79)
(7, 0, 2, (1, 0, 1), -5): (6, 117)
(7, 0, 2, (1, 0, 1), -4): (6, 158)
(7, 0, 2, (1, 0, 1), -3): (13, 212)
(7, 0, 2, (1, 0, 1), -2): (57, 313)
(7, 0, 2, (1, 0, 1), -1): (132, 440)
(7, 0, 2, (1, 0, 1), 0): (232, 486)
(7, 0, 2, (1, 0, 1), 1): (349, 477)
(7, 0, 2, (1, 0, 1), 2): (379, 465)
(7, 0, 2, (1, 0, 1), 3): (313, 353)
(7, 0, 2, (1, 0, 1), 4): (237, 253)
(7, 0, 2, (1, 0, 1), 5): (187, 192)
(7, 0, 2, (1, 0, 1), 6): (147, 147)
(7, 0, 2, (1, 0, 1), 7): (80, 81)
(7, 0, 2, (1, 0, 1), 8): (61, 61)
(7, 0, 2, (1, 0, 1), 9): (27, 27)
(7, 0, 2, (1, 0, 1), 10): (20, 20)
(7, 0, 2, (1, 0, 1), 11): (12, 12)
(7, 0, 2, (1, 0, 1), 12): (7, 7)
(7, 0, 2, (1, 0, 1), 13): (6, 6)
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(7, 0, 2, (1, 1, 0), -16): (0, 3)
(7, 0, 2, (1, 1, 0), -15): (0, 1)
(7, 0, 2, (1, 1, 0), -14): (0, 2)
(7, 0, 2, (1, 1, 0), -13): (0, 6)
(7, 0, 2, (1, 1, 0), -12): (0, 9)
(7, 0, 2, (1, 1, 0), -11): (0, 14)
(7, 0, 2, (1, 1, 0), -10): (0, 23)
(7, 0, 2, (1, 1, 0), -9): (0, 49)
(7, 0, 2, (1, 1, 0), -8): (0, 84)
(7, 0, 2, (1, 1, 0), -7): (1, 107)
(7, 0, 2, (1, 1, 0), -6): (2, 178)
(7, 0, 2, (1, 1, 0), -5): (8, 270)
(7, 0, 2, (1, 1, 0), -4): (10, 387)
(7, 0, 2, (1, 1, 0), -3): (43, 530)
(7, 0, 2, (1, 1, 0), -2): (102, 736)
(7, 0, 2, (1, 1, 0), -1): (225, 898)
(7, 0, 2, (1, 1, 0), 0): (529, 1081)
(7, 0, 2, (1, 1, 0), 1): (722, 1062)
(7, 0, 2, (1, 1, 0), 2): (677, 840)
(7, 0, 2, (1, 1, 0), 3): (645, 726)
(7, 0, 2, (1, 1, 0), 4): (487, 510)
(7, 0, 2, (1, 1, 0), 5): (356, 365)
(7, 0, 2, (1, 1, 0), 6): (230, 234)
(7, 0, 2, (1, 1, 0), 7): (160, 163)
(7, 0, 2, (1, 1, 0), 8): (85, 85)
(7, 0, 2, (1, 1, 0), 9): (77, 77)
(7, 0, 2, (1, 1, 0), 10): (44, 44)
(7, 0, 2, (1, 1, 0), 11): (27, 27)
(7, 0, 2, (1, 1, 0), 12): (15, 15)
(7, 0, 2, (1, 1, 0), 13): (8, 8)
(7, 0, 2, (1, 1, 0), 14): (7, 7)
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(7, 0, 2, (1, 1, 0), 20): (1, 1)
(7, 0, 2, (1, 1, 0), 21): (1, 1)
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(7, 0, 2, (1, 1, 1), -12): (0, 1)
(7, 0, 2, (1, 1, 1), -11): (0, 4)
(7, 0, 2, (1, 1, 1), -10): (0, 4)
(7, 0, 2, (1, 1, 1), -9): (0, 9)
(7, 0, 2, (1, 1, 1), -8): (0, 13)
(7, 0, 2, (1, 1, 1), -7): (0, 27)
(7, 0, 2, (1, 1, 1), -6): (0, 49)
(7, 0, 2, (1, 1, 1), -5): (6, 59)
(7, 0, 2, (1, 1, 1), -4): (8, 108)
(7, 0, 2, (1, 1, 1), -3): (21, 158)
(7, 0, 2, (1, 1, 1), -2): (52, 218)
(7, 0, 2, (1, 1, 1), -1): (87, 267)
(7, 0, 2, (1, 1, 1), 0): (209, 411)
(7, 0, 2, (1, 1, 1), 1): (297, 395)
(7, 0, 2, (1, 1, 1), 2): (274, 327)
(7, 0, 2, (1, 1, 1), 3): (234, 261)
(7, 0, 2, (1, 1, 1), 4): (198, 204)
(7, 0, 2, (1, 1, 1), 5): (157, 161)
(7, 0, 2, (1, 1, 1), 6): (87, 88)
(7, 0, 2, (1, 1, 1), 7): (54, 54)
(7, 0, 2, (1, 1, 1), 8): (36, 36)
(7, 0, 2, (1, 1, 1), 9): (21, 21)
(7, 0, 2, (1, 1, 1), 10): (9, 9)
(7, 0, 2, (1, 1, 1), 11): (11, 11)
(7, 0, 2, (1, 1, 1), 12): (3, 3)
(7, 0, 2, (1, 1, 1), 13): (2, 2)
(7, 0, 2, (1, 1, 1), 14): (2, 2)
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(7, 1, 0, (0, 0, 0), -16): (0, 11)
(7, 1, 0, (0, 0, 0), -15): (0, 17)
(7, 1, 0, (0, 0, 0), -14): (0, 26)
(7, 1, 0, (0, 0, 0), -13): (0, 42)
(7, 1, 0, (0, 0, 0), -12): (1, 98)
(7, 1, 0, (0, 0, 0), -11): (1, 154)
(7, 1, 0, (0, 0, 0), -10): (0, 233)
(7, 1, 0, (0, 0, 0), -9): (0, 368)
(7, 1, 0, (0, 0, 0), -8): (2, 674)
(7, 1, 0, (0, 0, 0), -7): (13, 985)
(7, 1, 0, (0, 0, 0), -6): (20, 1584)
(7, 1, 0, (0, 0, 0), -5): (97, 2358)
(7, 1, 0, (0, 0, 0), -4): (212, 3246)
(7, 1, 0, (0, 0, 0), -3): (507, 4501)
(7, 1, 0, (0, 0, 0), -2): (1270, 5908)
(7, 1, 0, (0, 0, 0), -1): (2471, 7035)
(7, 1, 0, (0, 0, 0), 0): (4661, 7720)
(7, 1, 0, (0, 0, 0), 1): (5579, 6780)
(7, 1, 0, (0, 0, 0), 2): (5215, 5687)
(7, 1, 0, (0, 0, 0), 3): (3996, 4157)
(7, 1, 0, (0, 0, 0), 4): (2934, 3002)
(7, 1, 0, (0, 0, 0), 5): (2040, 2063)
(7, 1, 0, (0, 0, 0), 6): (1432, 1439)
(7, 1, 0, (0, 0, 0), 7): (864, 865)
(7, 1, 0, (0, 0, 0), 8): (584, 585)
(7, 1, 0, (0, 0, 0), 9): (384, 384)
(7, 1, 0, (0, 0, 0), 10): (232, 233)
(7, 1, 0, (0, 0, 0), 11): (145, 145)
(7, 1, 0, (0, 0, 0), 12): (70, 70)
(7, 1, 0, (0, 0, 0), 13): (43, 43)
(7, 1, 0, (0, 0, 0), 14): (19, 19)
(7, 1, 0, (0, 0, 0), 15): (12, 12)
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(7, 1, 0, (0, 0, 1), -6): (0, 16)
(7, 1, 0, (0, 0, 1), -5): (0, 17)
(7, 1, 0, (0, 0, 1), -4): (8, 30)
(7, 1, 0, (0, 0, 1), -3): (11, 51)
(7, 1, 0, (0, 0, 1), -2): (26, 73)
(7, 1, 0, (0, 0, 1), -1): (55, 90)
(7, 1, 0, (0, 0, 1), 0): (74, 104)
(7, 1, 0, (0, 0, 1), 1): (91, 105)
(7, 1, 0, (0, 0, 1), 2): (95, 101)
(7, 1, 0, (0, 0, 1), 3): (89, 91)
(7, 1, 0, (0, 0, 1), 4): (77, 77)
(7, 1, 0, (0, 0, 1), 5): (46, 46)
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(7, 1, 0, (0, 0, 1), 7): (18, 18)
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(7, 1, 0, (0, 1, 0), -10): (0, 18)
(7, 1, 0, (0, 1, 0), -9): (0, 27)
(7, 1, 0, (0, 1, 0), -8): (0, 43)
(7, 1, 0, (0, 1, 0), -7): (1, 60)
(7, 1, 0, (0, 1, 0), -6): (2, 109)
(7, 1, 0, (0, 1, 0), -5): (10, 146)
(7, 1, 0, (0, 1, 0), -4): (13, 211)
(7, 1, 0, (0, 1, 0), -3): (53, 308)
(7, 1, 0, (0, 1, 0), -2): (128, 379)
(7, 1, 0, (0, 1, 0), -1): (229, 451)
(7, 1, 0, (0, 1, 0), 0): (418, 565)
(7, 1, 0, (0, 1, 0), 1): (448, 509)
(7, 1, 0, (0, 1, 0), 2): (452, 473)
(7, 1, 0, (0, 1, 0), 3): (326, 334)
(7, 1, 0, (0, 1, 0), 4): (287, 291)
(7, 1, 0, (0, 1, 0), 5): (192, 192)
(7, 1, 0, (0, 1, 0), 6): (121, 122)
(7, 1, 0, (0, 1, 0), 7): (81, 81)
(7, 1, 0, (0, 1, 0), 8): (50, 50)
(7, 1, 0, (0, 1, 0), 9): (28, 28)
(7, 1, 0, (0, 1, 0), 10): (19, 19)
(7, 1, 0, (0, 1, 0), 11): (9, 9)
(7, 1, 0, (0, 1, 0), 12): (5, 5)
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(7, 1, 0, (0, 1, 0), 15): (2, 2)
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(7, 1, 0, (0, 1, 1), -9): (0, 4)
(7, 1, 0, (0, 1, 1), -8): (1, 12)
(7, 1, 0, (0, 1, 1), -7): (1, 12)
(7, 1, 0, (0, 1, 1), -6): (2, 21)
(7, 1, 0, (0, 1, 1), -5): (3, 22)
(7, 1, 0, (0, 1, 1), -4): (7, 39)
(7, 1, 0, (0, 1, 1), -3): (24, 58)
(7, 1, 0, (0, 1, 1), -2): (51, 85)
(7, 1, 0, (0, 1, 1), -1): (50, 73)
(7, 1, 0, (0, 1, 1), 0): (69, 87)
(7, 1, 0, (0, 1, 1), 1): (75, 81)
(7, 1, 0, (0, 1, 1), 2): (87, 91)
(7, 1, 0, (0, 1, 1), 3): (58, 59)
(7, 1, 0, (0, 1, 1), 4): (44, 45)
(7, 1, 0, (0, 1, 1), 5): (42, 42)
(7, 1, 0, (0, 1, 1), 6): (25, 25)
(7, 1, 0, (0, 1, 1), 7): (19, 19)
(7, 1, 0, (0, 1, 1), 8): (13, 13)
(7, 1, 0, (0, 1, 1), 9): (10, 10)
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(7, 1, 0, (1, 0, 0), -15): (0, 5)
(7, 1, 0, (1, 0, 0), -14): (0, 10)
(7, 1, 0, (1, 0, 0), -13): (0, 14)
(7, 1, 0, (1, 0, 0), -12): (0, 28)
(7, 1, 0, (1, 0, 0), -11): (0, 34)
(7, 1, 0, (1, 0, 0), -10): (0, 58)
(7, 1, 0, (1, 0, 0), -9): (0, 88)
(7, 1, 0, (1, 0, 0), -8): (1, 171)
(7, 1, 0, (1, 0, 0), -7): (10, 265)
(7, 1, 0, (1, 0, 0), -6): (9, 395)
(7, 1, 0, (1, 0, 0), -5): (35, 572)
(7, 1, 0, (1, 0, 0), -4): (76, 850)
(7, 1, 0, (1, 0, 0), -3): (213, 1164)
(7, 1, 0, (1, 0, 0), -2): (430, 1519)
(7, 1, 0, (1, 0, 0), -1): (804, 1900)
(7, 1, 0, (1, 0, 0), 0): (1363, 2049)
(7, 1, 0, (1, 0, 0), 1): (1503, 1743)
(7, 1, 0, (1, 0, 0), 2): (1405, 1515)
(7, 1, 0, (1, 0, 0), 3): (1085, 1121)
(7, 1, 0, (1, 0, 0), 4): (802, 820)
(7, 1, 0, (1, 0, 0), 5): (520, 523)
(7, 1, 0, (1, 0, 0), 6): (379, 380)
(7, 1, 0, (1, 0, 0), 7): (228, 229)
(7, 1, 0, (1, 0, 0), 8): (161, 161)
(7, 1, 0, (1, 0, 0), 9): (97, 97)
(7, 1, 0, (1, 0, 0), 10): (48, 48)
(7, 1, 0, (1, 0, 0), 11): (44, 44)
(7, 1, 0, (1, 0, 0), 12): (24, 24)
(7, 1, 0, (1, 0, 0), 13): (12, 12)
(7, 1, 0, (1, 0, 0), 14): (5, 5)
(7, 1, 0, (1, 0, 0), 15): (4, 4)
(7, 1, 0, (1, 0, 0), 16): (3, 3)
(7, 1, 0, (1, 0, 0), 17): (2, 2)
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(7, 1, 0, (1, 0, 1), -13): (0, 1)
(7, 1, 0, (1, 0, 1), -12): (0, 3)
(7, 1, 0, (1, 0, 1), -11): (0, 1)
(7, 1, 0, (1, 0, 1), -10): (0, 3)
(7, 1, 0, (1, 0, 1), -9): (0, 11)
(7, 1, 0, (1, 0, 1), -8): (0, 11)
(7, 1, 0, (1, 0, 1), -7): (1, 22)
(7, 1, 0, (1, 0, 1), -6): (3, 30)
(7, 1, 0, (1, 0, 1), -5): (5, 49)
(7, 1, 0, (1, 0, 1), -4): (6, 70)
(7, 1, 0, (1, 0, 1), -3): (24, 100)
(7, 1, 0, (1, 0, 1), -2): (54, 120)
(7, 1, 0, (1, 0, 1), -1): (90, 142)
(7, 1, 0, (1, 0, 1), 0): (134, 163)
(7, 1, 0, (1, 0, 1), 1): (145, 155)
(7, 1, 0, (1, 0, 1), 2): (158, 163)
(7, 1, 0, (1, 0, 1), 3): (124, 125)
(7, 1, 0, (1, 0, 1), 4): (104, 105)
(7, 1, 0, (1, 0, 1), 5): (58, 58)
(7, 1, 0, (1, 0, 1), 6): (38, 38)
(7, 1, 0, (1, 0, 1), 7): (40, 40)
(7, 1, 0, (1, 0, 1), 8): (19, 19)
(7, 1, 0, (1, 0, 1), 9): (11, 11)
(7, 1, 0, (1, 0, 1), 10): (4, 4)
(7, 1, 0, (1, 0, 1), 11): (7, 7)
(7, 1, 0, (1, 0, 1), 12): (1, 1)
(7, 1, 0, (1, 0, 1), 17): (1, 1)
(7, 1, 0, (1, 0, 1), 18): (1, 1)
(7, 1, 0, (1, 1, 0), -19): (0, 1)
(7, 1, 0, (1, 1, 0), -15): (0, 1)
(7, 1, 0, (1, 1, 0), -14): (0, 4)
(7, 1, 0, (1, 1, 0), -13): (0, 3)
(7, 1, 0, (1, 1, 0), -12): (0, 6)
(7, 1, 0, (1, 1, 0), -11): (0, 5)
(7, 1, 0, (1, 1, 0), -10): (0, 14)
(7, 1, 0, (1, 1, 0), -9): (0, 24)
(7, 1, 0, (1, 1, 0), -8): (1, 33)
(7, 1, 0, (1, 1, 0), -7): (4, 75)
(7, 1, 0, (1, 1, 0), -6): (3, 115)
(7, 1, 0, (1, 1, 0), -5): (13, 143)
(7, 1, 0, (1, 1, 0), -4): (30, 223)
(7, 1, 0, (1, 1, 0), -3): (85, 306)
(7, 1, 0, (1, 1, 0), -2): (149, 409)
(7, 1, 0, (1, 1, 0), -1): (171, 327)
(7, 1, 0, (1, 1, 0), 0): (250, 337)
(7, 1, 0, (1, 1, 0), 1): (253, 285)
(7, 1, 0, (1, 1, 0), 2): (257, 272)
(7, 1, 0, (1, 1, 0), 3): (216, 227)
(7, 1, 0, (1, 1, 0), 4): (197, 203)
(7, 1, 0, (1, 1, 0), 5): (152, 152)
(7, 1, 0, (1, 1, 0), 6): (115, 115)
(7, 1, 0, (1, 1, 0), 7): (54, 54)
(7, 1, 0, (1, 1, 0), 8): (57, 57)
(7, 1, 0, (1, 1, 0), 9): (33, 33)
(7, 1, 0, (1, 1, 0), 10): (14, 14)
(7, 1, 0, (1, 1, 0), 11): (12, 12)
(7, 1, 0, (1, 1, 0), 12): (6, 6)
(7, 1, 0, (1, 1, 0), 13): (8, 8)
(7, 1, 0, (1, 1, 0), 14): (1, 1)
(7, 1, 0, (1, 1, 0), 15): (2, 2)
(7, 1, 0, (1, 1, 0), 18): (2, 2)
(7, 1, 0, (1, 1, 1), -14): (0, 1)
(7, 1, 0, (1, 1, 1), -13): (0, 1)
(7, 1, 0, (1, 1, 1), -12): (0, 1)
(7, 1, 0, (1, 1, 1), -10): (0, 5)
(7, 1, 0, (1, 1, 1), -9): (0, 9)
(7, 1, 0, (1, 1, 1), -8): (0, 8)
(7, 1, 0, (1, 1, 1), -7): (2, 12)
(7, 1, 0, (1, 1, 1), -6): (1, 22)
(7, 1, 0, (1, 1, 1), -5): (8, 37)
(7, 1, 0, (1, 1, 1), -4): (10, 48)
(7, 1, 0, (1, 1, 1), -3): (17, 64)
(7, 1, 0, (1, 1, 1), -2): (50, 96)
(7, 1, 0, (1, 1, 1), -1): (50, 77)
(7, 1, 0, (1, 1, 1), 0): (100, 119)
(7, 1, 0, (1, 1, 1), 1): (97, 103)
(7, 1, 0, (1, 1, 1), 2): (90, 95)
(7, 1, 0, (1, 1, 1), 3): (66, 68)
(7, 1, 0, (1, 1, 1), 4): (57, 58)
(7, 1, 0, (1, 1, 1), 5): (52, 52)
(7, 1, 0, (1, 1, 1), 6): (35, 35)
(7, 1, 0, (1, 1, 1), 7): (20, 20)
(7, 1, 0, (1, 1, 1), 8): (13, 13)
(7, 1, 0, (1, 1, 1), 9): (12, 12)
(7, 1, 0, (1, 1, 1), 10): (4, 4)
(7, 1, 0, (1, 1, 1), 11): (1, 1)
(7, 1, 0, (1, 1, 1), 12): (1, 1)
(7, 1, 0, (1, 1, 1), 13): (3, 3)
(7, 1, 1, (0, 0, 0), -22): (0, 1)
(7, 1, 1, (0, 0, 0), -20): (0, 1)
(7, 1, 1, (0, 0, 0), -18): (0, 1)
(7, 1, 1, (0, 0, 0), -17): (0, 1)
(7, 1, 1, (0, 0, 0), -16): (0, 6)
(7, 1, 1, (0, 0, 0), -15): (0, 8)
(7, 1, 1, (0, 0, 0), -14): (0, 19)
(7, 1, 1, (0, 0, 0), -13): (0, 22)
(7, 1, 1, (0, 0, 0), -12): (0, 66)
(7, 1, 1, (0, 0, 0), -11): (1, 107)
(7, 1, 1, (0, 0, 0), -10): (0, 153)
(7, 1, 1, (0, 0, 0), -9): (0, 253)
(7, 1, 1, (0, 0, 0), -8): (0, 457)
(7, 1, 1, (0, 0, 0), -7): (3, 659)
(7, 1, 1, (0, 0, 0), -6): (7, 1076)
(7, 1, 1, (0, 0, 0), -5): (51, 1649)
(7, 1, 1, (0, 0, 0), -4): (113, 2197)
(7, 1, 1, (0, 0, 0), -3): (235, 3085)
(7, 1, 1, (0, 0, 0), -2): (708, 4090)
(7, 1, 1, (0, 0, 0), -1): (1463, 4863)
(7, 1, 1, (0, 0, 0), 0): (3023, 5368)
(7, 1, 1, (0, 0, 0), 1): (3850, 4822)
(7, 1, 1, (0, 0, 0), 2): (3723, 4102)
(7, 1, 1, (0, 0, 0), 3): (2922, 3050)
(7, 1, 1, (0, 0, 0), 4): (2141, 2195)
(7, 1, 1, (0, 0, 0), 5): (1544, 1567)
(7, 1, 1, (0, 0, 0), 6): (1071, 1077)
(7, 1, 1, (0, 0, 0), 7): (672, 672)
(7, 1, 1, (0, 0, 0), 8): (425, 426)
(7, 1, 1, (0, 0, 0), 9): (298, 298)
(7, 1, 1, (0, 0, 0), 10): (188, 189)
(7, 1, 1, (0, 0, 0), 11): (110, 110)
(7, 1, 1, (0, 0, 0), 12): (44, 44)
(7, 1, 1, (0, 0, 0), 13): (34, 34)
(7, 1, 1, (0, 0, 0), 14): (18, 18)
(7, 1, 1, (0, 0, 0), 15): (10, 10)
(7, 1, 1, (0, 0, 0), 16): (7, 7)
(7, 1, 1, (0, 0, 0), 17): (2, 2)
(7, 1, 1, (0, 0, 0), 18): (1, 1)
(7, 1, 1, (0, 0, 0), 21): (1, 1)
(7, 1, 1, (0, 0, 1), -13): (0, 2)
(7, 1, 1, (0, 0, 1), -12): (0, 1)
(7, 1, 1, (0, 0, 1), -11): (0, 6)
(7, 1, 1, (0, 0, 1), -10): (0, 7)
(7, 1, 1, (0, 0, 1), -9): (0, 10)
(7, 1, 1, (0, 0, 1), -8): (0, 20)
(7, 1, 1, (0, 0, 1), -7): (1, 26)
(7, 1, 1, (0, 0, 1), -6): (1, 42)
(7, 1, 1, (0, 0, 1), -5): (1, 55)
(7, 1, 1, (0, 0, 1), -4): (6, 90)
(7, 1, 1, (0, 0, 1), -3): (21, 129)
(7, 1, 1, (0, 0, 1), -2): (59, 198)
(7, 1, 1, (0, 0, 1), -1): (156, 328)
(7, 1, 1, (0, 0, 1), 0): (305, 418)
(7, 1, 1, (0, 0, 1), 1): (326, 374)
(7, 1, 1, (0, 0, 1), 2): (343, 361)
(7, 1, 1, (0, 0, 1), 3): (261, 267)
(7, 1, 1, (0, 0, 1), 4): (209, 211)
(7, 1, 1, (0, 0, 1), 5): (134, 134)
(7, 1, 1, (0, 0, 1), 6): (67, 68)
(7, 1, 1, (0, 0, 1), 7): (44, 44)
(7, 1, 1, (0, 0, 1), 8): (33, 33)
(7, 1, 1, (0, 0, 1), 9): (20, 20)
(7, 1, 1, (0, 0, 1), 10): (12, 12)
(7, 1, 1, (0, 0, 1), 11): (8, 8)
(7, 1, 1, (0, 0, 1), 12): (5, 5)
(7, 1, 1, (0, 0, 1), 13): (1, 1)
(7, 1, 1, (0, 0, 1), 14): (1, 1)
(7, 1, 1, (0, 0, 1), 15): (1, 1)
(7, 1, 1, (0, 0, 1), 16): (1, 1)
(7, 1, 1, (0, 0, 1), 17): (1, 1)
(7, 1, 1, (0, 1, 0), -16): (0, 1)
(7, 1, 1, (0, 1, 0), -15): (0, 1)
(7, 1, 1, (0, 1, 0), -14): (0, 2)
(7, 1, 1, (0, 1, 0), -13): (0, 3)
(7, 1, 1, (0, 1, 0), -12): (0, 8)
(7, 1, 1, (0, 1, 0), -11): (0, 12)
(7, 1, 1, (0, 1, 0), -10): (0, 28)
(7, 1, 1, (0, 1, 0), -9): (0, 39)
(7, 1, 1, (0, 1, 0), -8): (0, 63)
(7, 1, 1, (0, 1, 0), -7): (1, 81)
(7, 1, 1, (0, 1, 0), -6): (6, 145)
(7, 1, 1, (0, 1, 0), -5): (13, 230)
(7, 1, 1, (0, 1, 0), -4): (19, 314)
(7, 1, 1, (0, 1, 0), -3): (40, 446)
(7, 1, 1, (0, 1, 0), -2): (136, 577)
(7, 1, 1, (0, 1, 0), -1): (457, 1146)
(7, 1, 1, (0, 1, 0), 0): (918, 1408)
(7, 1, 1, (0, 1, 0), 1): (1055, 1237)
(7, 1, 1, (0, 1, 0), 2): (999, 1065)
(7, 1, 1, (0, 1, 0), 3): (721, 748)
(7, 1, 1, (0, 1, 0), 4): (533, 539)
(7, 1, 1, (0, 1, 0), 5): (342, 344)
(7, 1, 1, (0, 1, 0), 6): (178, 179)
(7, 1, 1, (0, 1, 0), 7): (134, 134)
(7, 1, 1, (0, 1, 0), 8): (92, 92)
(7, 1, 1, (0, 1, 0), 9): (56, 56)
(7, 1, 1, (0, 1, 0), 10): (35, 35)
(7, 1, 1, (0, 1, 0), 11): (29, 29)
(7, 1, 1, (0, 1, 0), 12): (13, 13)
(7, 1, 1, (0, 1, 0), 13): (7, 7)
(7, 1, 1, (0, 1, 0), 14): (2, 2)
(7, 1, 1, (0, 1, 0), 15): (1, 1)
(7, 1, 1, (0, 1, 0), 16): (1, 1)
(7, 1, 1, (0, 1, 0), 17): (1, 1)
(7, 1, 1, (0, 1, 0), 18): (1, 1)
(7, 1, 1, (0, 1, 0), 20): (1, 1)
(7, 1, 1, (0, 1, 0), 21): (1, 1)
(7, 1, 1, (0, 1, 1), -19): (0, 1)
(7, 1, 1, (0, 1, 1), -16): (0, 1)
(7, 1, 1, (0, 1, 1), -14): (0, 4)
(7, 1, 1, (0, 1, 1), -13): (0, 1)
(7, 1, 1, (0, 1, 1), -12): (0, 6)
(7, 1, 1, (0, 1, 1), -11): (0, 2)
(7, 1, 1, (0, 1, 1), -10): (0, 4)
(7, 1, 1, (0, 1, 1), -9): (0, 12)
(7, 1, 1, (0, 1, 1), -8): (0, 13)
(7, 1, 1, (0, 1, 1), -7): (1, 19)
(7, 1, 1, (0, 1, 1), -6): (3, 36)
(7, 1, 1, (0, 1, 1), -5): (7, 57)
(7, 1, 1, (0, 1, 1), -4): (11, 82)
(7, 1, 1, (0, 1, 1), -3): (29, 123)
(7, 1, 1, (0, 1, 1), -2): (93, 252)
(7, 1, 1, (0, 1, 1), -1): (137, 257)
(7, 1, 1, (0, 1, 1), 0): (198, 262)
(7, 1, 1, (0, 1, 1), 1): (243, 284)
(7, 1, 1, (0, 1, 1), 2): (257, 273)
(7, 1, 1, (0, 1, 1), 3): (199, 206)
(7, 1, 1, (0, 1, 1), 4): (146, 149)
(7, 1, 1, (0, 1, 1), 5): (102, 103)
(7, 1, 1, (0, 1, 1), 6): (71, 72)
(7, 1, 1, (0, 1, 1), 7): (55, 55)
(7, 1, 1, (0, 1, 1), 8): (35, 35)
(7, 1, 1, (0, 1, 1), 9): (28, 28)
(7, 1, 1, (0, 1, 1), 10): (13, 14)
(7, 1, 1, (0, 1, 1), 11): (5, 5)
(7, 1, 1, (0, 1, 1), 12): (6, 6)
(7, 1, 1, (0, 1, 1), 13): (2, 2)
(7, 1, 1, (0, 1, 1), 14): (1, 1)
(7, 1, 1, (0, 1, 1), 18): (1, 1)
(7, 1, 1, (1, 0, 0), -21): (0, 1)
(7, 1, 1, (1, 0, 0), -18): (0, 2)
(7, 1, 1, (1, 0, 0), -17): (0, 1)
(7, 1, 1, (1, 0, 0), -16): (0, 3)
(7, 1, 1, (1, 0, 0), -15): (0, 3)
(7, 1, 1, (1, 0, 0), -14): (0, 9)
(7, 1, 1, (1, 0, 0), -13): (0, 7)
(7, 1, 1, (1, 0, 0), -12): (0, 33)
(7, 1, 1, (1, 0, 0), -11): (0, 50)
(7, 1, 1, (1, 0, 0), -10): (0, 71)
(7, 1, 1, (1, 0, 0), -9): (0, 100)
(7, 1, 1, (1, 0, 0), -8): (0, 201)
(7, 1, 1, (1, 0, 0), -7): (3, 278)
(7, 1, 1, (1, 0, 0), -6): (5, 472)
(7, 1, 1, (1, 0, 0), -5): (32, 714)
(7, 1, 1, (1, 0, 0), -4): (71, 972)
(7, 1, 1, (1, 0, 0), -3): (146, 1346)
(7, 1, 1, (1, 0, 0), -2): (395, 1793)
(7, 1, 1, (1, 0, 0), -1): (691, 2027)
(7, 1, 1, (1, 0, 0), 0): (1313, 2126)
(7, 1, 1, (1, 0, 0), 1): (1612, 1928)
(7, 1, 1, (1, 0, 0), 2): (1518, 1663)
(7, 1, 1, (1, 0, 0), 3): (1275, 1316)
(7, 1, 1, (1, 0, 0), 4): (957, 981)
(7, 1, 1, (1, 0, 0), 5): (688, 697)
(7, 1, 1, (1, 0, 0), 6): (510, 512)
(7, 1, 1, (1, 0, 0), 7): (308, 309)
(7, 1, 1, (1, 0, 0), 8): (213, 214)
(7, 1, 1, (1, 0, 0), 9): (155, 155)
(7, 1, 1, (1, 0, 0), 10): (82, 83)
(7, 1, 1, (1, 0, 0), 11): (54, 54)
(7, 1, 1, (1, 0, 0), 12): (31, 31)
(7, 1, 1, (1, 0, 0), 13): (9, 9)
(7, 1, 1, (1, 0, 0), 14): (7, 7)
(7, 1, 1, (1, 0, 0), 15): (6, 6)
(7, 1, 1, (1, 0, 0), 16): (6, 6)
(7, 1, 1, (1, 0, 0), 17): (2, 2)
(7, 1, 1, (1, 0, 0), 18): (1, 1)
(7, 1, 1, (1, 0, 0), 21): (1, 1)
(7, 1, 1, (1, 0, 1), -15): (0, 2)
(7, 1, 1, (1, 0, 1), -14): (0, 1)
(7, 1, 1, (1, 0, 1), -13): (0, 3)
(7, 1, 1, (1, 0, 1), -12): (0, 4)
(7, 1, 1, (1, 0, 1), -11): (0, 3)
(7, 1, 1, (1, 0, 1), -10): (0, 10)
(7, 1, 1, (1, 0, 1), -9): (0, 17)
(7, 1, 1, (1, 0, 1), -8): (0, 28)
(7, 1, 1, (1, 0, 1), -7): (0, 33)
(7, 1, 1, (1, 0, 1), -6): (2, 58)
(7, 1, 1, (1, 0, 1), -5): (5, 86)
(7, 1, 1, (1, 0, 1), -4): (20, 134)
(7, 1, 1, (1, 0, 1), -3): (39, 179)
(7, 1, 1, (1, 0, 1), -2): (78, 243)
(7, 1, 1, (1, 0, 1), -1): (171, 331)
(7, 1, 1, (1, 0, 1), 0): (328, 431)
(7, 1, 1, (1, 0, 1), 1): (314, 368)
(7, 1, 1, (1, 0, 1), 2): (330, 342)
(7, 1, 1, (1, 0, 1), 3): (292, 297)
(7, 1, 1, (1, 0, 1), 4): (207, 209)
(7, 1, 1, (1, 0, 1), 5): (159, 159)
(7, 1, 1, (1, 0, 1), 6): (105, 105)
(7, 1, 1, (1, 0, 1), 7): (71, 71)
(7, 1, 1, (1, 0, 1), 8): (46, 46)
(7, 1, 1, (1, 0, 1), 9): (29, 29)
(7, 1, 1, (1, 0, 1), 10): (12, 12)
(7, 1, 1, (1, 0, 1), 11): (8, 8)
(7, 1, 1, (1, 0, 1), 12): (7, 7)
(7, 1, 1, (1, 0, 1), 13): (4, 4)
(7, 1, 1, (1, 0, 1), 18): (1, 1)
(7, 1, 1, (1, 1, 0), -18): (0, 1)
(7, 1, 1, (1, 1, 0), -17): (0, 2)
(7, 1, 1, (1, 1, 0), -15): (0, 2)
(7, 1, 1, (1, 1, 0), -14): (0, 1)
(7, 1, 1, (1, 1, 0), -13): (0, 2)
(7, 1, 1, (1, 1, 0), -12): (0, 9)
(7, 1, 1, (1, 1, 0), -11): (0, 12)
(7, 1, 1, (1, 1, 0), -10): (0, 21)
(7, 1, 1, (1, 1, 0), -9): (0, 28)
(7, 1, 1, (1, 1, 0), -8): (0, 51)
(7, 1, 1, (1, 1, 0), -7): (2, 107)
(7, 1, 1, (1, 1, 0), -6): (3, 170)
(7, 1, 1, (1, 1, 0), -5): (15, 235)
(7, 1, 1, (1, 1, 0), -4): (39, 354)
(7, 1, 1, (1, 1, 0), -3): (99, 511)
(7, 1, 1, (1, 1, 0), -2): (198, 630)
(7, 1, 1, (1, 1, 0), -1): (315, 683)
(7, 1, 1, (1, 1, 0), 0): (569, 882)
(7, 1, 1, (1, 1, 0), 1): (658, 777)
(7, 1, 1, (1, 1, 0), 2): (624, 664)
(7, 1, 1, (1, 1, 0), 3): (520, 534)
(7, 1, 1, (1, 1, 0), 4): (415, 426)
(7, 1, 1, (1, 1, 0), 5): (313, 315)
(7, 1, 1, (1, 1, 0), 6): (214, 215)
(7, 1, 1, (1, 1, 0), 7): (132, 132)
(7, 1, 1, (1, 1, 0), 8): (105, 105)
(7, 1, 1, (1, 1, 0), 9): (67, 67)
(7, 1, 1, (1, 1, 0), 10): (43, 43)
(7, 1, 1, (1, 1, 0), 11): (33, 33)
(7, 1, 1, (1, 1, 0), 12): (16, 16)
(7, 1, 1, (1, 1, 0), 13): (7, 7)
(7, 1, 1, (1, 1, 0), 14): (3, 3)
(7, 1, 1, (1, 1, 0), 15): (2, 2)
(7, 1, 1, (1, 1, 0), 16): (2, 2)
(7, 1, 1, (1, 1, 0), 18): (1, 1)
(7, 1, 1, (1, 1, 1), -15): (0, 1)
(7, 1, 1, (1, 1, 1), -14): (0, 1)
(7, 1, 1, (1, 1, 1), -13): (0, 1)
(7, 1, 1, (1, 1, 1), -12): (0, 5)
(7, 1, 1, (1, 1, 1), -11): (0, 6)
(7, 1, 1, (1, 1, 1), -10): (0, 5)
(7, 1, 1, (1, 1, 1), -9): (0, 10)
(7, 1, 1, (1, 1, 1), -8): (0, 14)
(7, 1, 1, (1, 1, 1), -7): (0, 20)
(7, 1, 1, (1, 1, 1), -6): (2, 37)
(7, 1, 1, (1, 1, 1), -5): (6, 55)
(7, 1, 1, (1, 1, 1), -4): (21, 91)
(7, 1, 1, (1, 1, 1), -3): (37, 142)
(7, 1, 1, (1, 1, 1), -2): (79, 181)
(7, 1, 1, (1, 1, 1), -1): (141, 257)
(7, 1, 1, (1, 1, 1), 0): (272, 358)
(7, 1, 1, (1, 1, 1), 1): (271, 307)
(7, 1, 1, (1, 1, 1), 2): (303, 316)
(7, 1, 1, (1, 1, 1), 3): (258, 265)
(7, 1, 1, (1, 1, 1), 4): (169, 172)
(7, 1, 1, (1, 1, 1), 5): (127, 129)
(7, 1, 1, (1, 1, 1), 6): (94, 94)
(7, 1, 1, (1, 1, 1), 7): (55, 55)
(7, 1, 1, (1, 1, 1), 8): (26, 26)
(7, 1, 1, (1, 1, 1), 9): (27, 27)
(7, 1, 1, (1, 1, 1), 10): (14, 14)
(7, 1, 1, (1, 1, 1), 11): (7, 7)
(7, 1, 1, (1, 1, 1), 12): (3, 3)
(7, 1, 1, (1, 1, 1), 13): (4, 4)
(7, 1, 1, (1, 1, 1), 14): (1, 1)
(7, 1, 2, (0, 0, 0), -22): (0, 1)
(7, 1, 2, (0, 0, 0), -20): (0, 1)
(7, 1, 2, (0, 0, 0), -18): (0, 1)
(7, 1, 2, (0, 0, 0), -17): (0, 1)
(7, 1, 2, (0, 0, 0), -16): (0, 5)
(7, 1, 2, (0, 0, 0), -15): (0, 9)
(7, 1, 2, (0, 0, 0), -14): (0, 15)
(7, 1, 2, (0, 0, 0), -13): (0, 23)
(7, 1, 2, (0, 0, 0), -12): (0, 46)
(7, 1, 2, (0, 0, 0), -11): (1, 80)
(7, 1, 2, (0, 0, 0), -10): (0, 108)
(7, 1, 2, (0, 0, 0), -9): (0, 194)
(7, 1, 2, (0, 0, 0), -8): (0, 349)
(7, 1, 2, (0, 0, 0), -7): (1, 492)
(7, 1, 2, (0, 0, 0), -6): (4, 808)
(7, 1, 2, (0, 0, 0), -5): (27, 1217)
(7, 1, 2, (0, 0, 0), -4): (65, 1665)
(7, 1, 2, (0, 0, 0), -3): (158, 2337)
(7, 1, 2, (0, 0, 0), -2): (439, 3114)
(7, 1, 2, (0, 0, 0), -1): (996, 3659)
(7, 1, 2, (0, 0, 0), 0): (2186, 4097)
(7, 1, 2, (0, 0, 0), 1): (2998, 3829)
(7, 1, 2, (0, 0, 0), 2): (2893, 3216)
(7, 1, 2, (0, 0, 0), 3): (2392, 2508)
(7, 1, 2, (0, 0, 0), 4): (1759, 1802)
(7, 1, 2, (0, 0, 0), 5): (1275, 1292)
(7, 1, 2, (0, 0, 0), 6): (919, 924)
(7, 1, 2, (0, 0, 0), 7): (557, 557)
(7, 1, 2, (0, 0, 0), 8): (373, 373)
(7, 1, 2, (0, 0, 0), 9): (227, 227)
(7, 1, 2, (0, 0, 0), 10): (163, 163)
(7, 1, 2, (0, 0, 0), 11): (100, 100)
(7, 1, 2, (0, 0, 0), 12): (45, 45)
(7, 1, 2, (0, 0, 0), 13): (40, 40)
(7, 1, 2, (0, 0, 0), 14): (21, 21)
(7, 1, 2, (0, 0, 0), 15): (13, 13)
(7, 1, 2, (0, 0, 0), 16): (4, 4)
(7, 1, 2, (0, 0, 0), 17): (1, 1)
(7, 1, 2, (0, 0, 0), 18): (1, 1)
(7, 1, 2, (0, 0, 0), 19): (1, 1)
(7, 1, 2, (0, 0, 0), 22): (1, 1)
(7, 1, 2, (0, 0, 1), -14): (0, 3)
(7, 1, 2, (0, 0, 1), -13): (0, 3)
(7, 1, 2, (0, 0, 1), -12): (0, 4)
(7, 1, 2, (0, 0, 1), -11): (0, 7)
(7, 1, 2, (0, 0, 1), -10): (0, 5)
(7, 1, 2, (0, 0, 1), -9): (0, 19)
(7, 1, 2, (0, 0, 1), -8): (0, 29)
(7, 1, 2, (0, 0, 1), -7): (0, 39)
(7, 1, 2, (0, 0, 1), -6): (2, 59)
(7, 1, 2, (0, 0, 1), -5): (4, 97)
(7, 1, 2, (0, 0, 1), -4): (5, 150)
(7, 1, 2, (0, 0, 1), -3): (12, 209)
(7, 1, 2, (0, 0, 1), -2): (51, 286)
(7, 1, 2, (0, 0, 1), -1): (138, 481)
(7, 1, 2, (0, 0, 1), 0): (328, 557)
(7, 1, 2, (0, 0, 1), 1): (412, 492)
(7, 1, 2, (0, 0, 1), 2): (407, 442)
(7, 1, 2, (0, 0, 1), 3): (335, 351)
(7, 1, 2, (0, 0, 1), 4): (280, 284)
(7, 1, 2, (0, 0, 1), 5): (183, 184)
(7, 1, 2, (0, 0, 1), 6): (112, 113)
(7, 1, 2, (0, 0, 1), 7): (96, 96)
(7, 1, 2, (0, 0, 1), 8): (63, 63)
(7, 1, 2, (0, 0, 1), 9): (48, 48)
(7, 1, 2, (0, 0, 1), 10): (23, 23)
(7, 1, 2, (0, 0, 1), 11): (17, 17)
(7, 1, 2, (0, 0, 1), 12): (7, 7)
(7, 1, 2, (0, 0, 1), 13): (9, 9)
(7, 1, 2, (0, 0, 1), 14): (4, 4)
(7, 1, 2, (0, 0, 1), 15): (1, 1)
(7, 1, 2, (0, 1, 0), -21): (0, 1)
(7, 1, 2, (0, 1, 0), -20): (0, 1)
(7, 1, 2, (0, 1, 0), -15): (0, 1)
(7, 1, 2, (0, 1, 0), -14): (0, 2)
(7, 1, 2, (0, 1, 0), -13): (0, 4)
(7, 1, 2, (0, 1, 0), -12): (0, 8)
(7, 1, 2, (0, 1, 0), -11): (0, 19)
(7, 1, 2, (0, 1, 0), -10): (0, 34)
(7, 1, 2, (0, 1, 0), -9): (0, 39)
(7, 1, 2, (0, 1, 0), -8): (0, 90)
(7, 1, 2, (0, 1, 0), -7): (0, 109)
(7, 1, 2, (0, 1, 0), -6): (6, 165)
(7, 1, 2, (0, 1, 0), -5): (10, 278)
(7, 1, 2, (0, 1, 0), -4): (20, 372)
(7, 1, 2, (0, 1, 0), -3): (35, 540)
(7, 1, 2, (0, 1, 0), -2): (146, 754)
(7, 1, 2, (0, 1, 0), -1): (359, 1137)
(7, 1, 2, (0, 1, 0), 0): (805, 1349)
(7, 1, 2, (0, 1, 0), 1): (1062, 1316)
(7, 1, 2, (0, 1, 0), 2): (1004, 1096)
(7, 1, 2, (0, 1, 0), 3): (847, 884)
(7, 1, 2, (0, 1, 0), 4): (695, 707)
(7, 1, 2, (0, 1, 0), 5): (446, 452)
(7, 1, 2, (0, 1, 0), 6): (266, 267)
(7, 1, 2, (0, 1, 0), 7): (179, 179)
(7, 1, 2, (0, 1, 0), 8): (121, 121)
(7, 1, 2, (0, 1, 0), 9): (92, 92)
(7, 1, 2, (0, 1, 0), 10): (52, 52)
(7, 1, 2, (0, 1, 0), 11): (30, 30)
(7, 1, 2, (0, 1, 0), 12): (17, 17)
(7, 1, 2, (0, 1, 0), 13): (13, 13)
(7, 1, 2, (0, 1, 0), 14): (6, 6)
(7, 1, 2, (0, 1, 0), 15): (2, 2)
(7, 1, 2, (0, 1, 0), 16): (4, 4)
(7, 1, 2, (0, 1, 0), 18): (1, 1)
(7, 1, 2, (0, 1, 0), 21): (1, 1)
(7, 1, 2, (0, 1, 1), -13): (0, 1)
(7, 1, 2, (0, 1, 1), -12): (0, 3)
(7, 1, 2, (0, 1, 1), -11): (0, 4)
(7, 1, 2, (0, 1, 1), -10): (0, 7)
(7, 1, 2, (0, 1, 1), -9): (0, 10)
(7, 1, 2, (0, 1, 1), -8): (0, 18)
(7, 1, 2, (0, 1, 1), -7): (1, 24)
(7, 1, 2, (0, 1, 1), -6): (1, 41)
(7, 1, 2, (0, 1, 1), -5): (3, 88)
(7, 1, 2, (0, 1, 1), -4): (11, 89)
(7, 1, 2, (0, 1, 1), -3): (18, 136)
(7, 1, 2, (0, 1, 1), -2): (58, 221)
(7, 1, 2, (0, 1, 1), -1): (88, 214)
(7, 1, 2, (0, 1, 1), 0): (149, 266)
(7, 1, 2, (0, 1, 1), 1): (294, 364)
(7, 1, 2, (0, 1, 1), 2): (270, 295)
(7, 1, 2, (0, 1, 1), 3): (235, 246)
(7, 1, 2, (0, 1, 1), 4): (177, 181)
(7, 1, 2, (0, 1, 1), 5): (144, 144)
(7, 1, 2, (0, 1, 1), 6): (102, 103)
(7, 1, 2, (0, 1, 1), 7): (63, 63)
(7, 1, 2, (0, 1, 1), 8): (35, 35)
(7, 1, 2, (0, 1, 1), 9): (27, 27)
(7, 1, 2, (0, 1, 1), 10): (16, 17)
(7, 1, 2, (0, 1, 1), 11): (13, 13)
(7, 1, 2, (0, 1, 1), 12): (6, 6)
(7, 1, 2, (0, 1, 1), 13): (3, 3)
(7, 1, 2, (0, 1, 1), 14): (2, 2)
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(7, 1, 2, (0, 1, 1), 19): (1, 1)
(7, 1, 2, (1, 0, 0), -18): (0, 1)
(7, 1, 2, (1, 0, 0), -16): (0, 3)
(7, 1, 2, (1, 0, 0), -15): (0, 6)
(7, 1, 2, (1, 0, 0), -14): (0, 10)
(7, 1, 2, (1, 0, 0), -13): (0, 8)
(7, 1, 2, (1, 0, 0), -12): (0, 29)
(7, 1, 2, (1, 0, 0), -11): (1, 54)
(7, 1, 2, (1, 0, 0), -10): (0, 64)
(7, 1, 2, (1, 0, 0), -9): (0, 90)
(7, 1, 2, (1, 0, 0), -8): (0, 217)
(7, 1, 2, (1, 0, 0), -7): (0, 284)
(7, 1, 2, (1, 0, 0), -6): (3, 467)
(7, 1, 2, (1, 0, 0), -5): (20, 698)
(7, 1, 2, (1, 0, 0), -4): (52, 983)
(7, 1, 2, (1, 0, 0), -3): (97, 1317)
(7, 1, 2, (1, 0, 0), -2): (297, 1716)
(7, 1, 2, (1, 0, 0), -1): (586, 1995)
(7, 1, 2, (1, 0, 0), 0): (1190, 2159)
(7, 1, 2, (1, 0, 0), 1): (1545, 1902)
(7, 1, 2, (1, 0, 0), 2): (1499, 1672)
(7, 1, 2, (1, 0, 0), 3): (1231, 1281)
(7, 1, 2, (1, 0, 0), 4): (964, 986)
(7, 1, 2, (1, 0, 0), 5): (706, 716)
(7, 1, 2, (1, 0, 0), 6): (586, 588)
(7, 1, 2, (1, 0, 0), 7): (382, 383)
(7, 1, 2, (1, 0, 0), 8): (266, 268)
(7, 1, 2, (1, 0, 0), 9): (171, 171)
(7, 1, 2, (1, 0, 0), 10): (109, 109)
(7, 1, 2, (1, 0, 0), 11): (58, 58)
(7, 1, 2, (1, 0, 0), 12): (48, 48)
(7, 1, 2, (1, 0, 0), 13): (28, 28)
(7, 1, 2, (1, 0, 0), 14): (14, 14)
(7, 1, 2, (1, 0, 0), 15): (7, 7)
(7, 1, 2, (1, 0, 0), 16): (4, 4)
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(7, 1, 2, (1, 0, 0), 18): (2, 2)
(7, 1, 2, (1, 0, 0), 19): (2, 2)
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(7, 1, 2, (1, 0, 1), -14): (0, 1)
(7, 1, 2, (1, 0, 1), -13): (0, 4)
(7, 1, 2, (1, 0, 1), -12): (0, 3)
(7, 1, 2, (1, 0, 1), -11): (0, 6)
(7, 1, 2, (1, 0, 1), -10): (0, 13)
(7, 1, 2, (1, 0, 1), -9): (0, 13)
(7, 1, 2, (1, 0, 1), -8): (0, 26)
(7, 1, 2, (1, 0, 1), -7): (1, 43)
(7, 1, 2, (1, 0, 1), -6): (2, 69)
(7, 1, 2, (1, 0, 1), -5): (6, 133)
(7, 1, 2, (1, 0, 1), -4): (11, 167)
(7, 1, 2, (1, 0, 1), -3): (25, 245)
(7, 1, 2, (1, 0, 1), -2): (81, 353)
(7, 1, 2, (1, 0, 1), -1): (181, 437)
(7, 1, 2, (1, 0, 1), 0): (353, 569)
(7, 1, 2, (1, 0, 1), 1): (405, 507)
(7, 1, 2, (1, 0, 1), 2): (420, 457)
(7, 1, 2, (1, 0, 1), 3): (365, 375)
(7, 1, 2, (1, 0, 1), 4): (272, 277)
(7, 1, 2, (1, 0, 1), 5): (236, 236)
(7, 1, 2, (1, 0, 1), 6): (159, 159)
(7, 1, 2, (1, 0, 1), 7): (115, 115)
(7, 1, 2, (1, 0, 1), 8): (63, 63)
(7, 1, 2, (1, 0, 1), 9): (56, 56)
(7, 1, 2, (1, 0, 1), 10): (34, 34)
(7, 1, 2, (1, 0, 1), 11): (16, 16)
(7, 1, 2, (1, 0, 1), 12): (8, 8)
(7, 1, 2, (1, 0, 1), 13): (7, 7)
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(7, 1, 2, (1, 1, 0), -11): (1, 20)
(7, 1, 2, (1, 1, 0), -10): (0, 24)
(7, 1, 2, (1, 1, 0), -9): (1, 36)
(7, 1, 2, (1, 1, 0), -8): (0, 65)
(7, 1, 2, (1, 1, 0), -7): (0, 123)
(7, 1, 2, (1, 1, 0), -6): (2, 186)
(7, 1, 2, (1, 1, 0), -5): (12, 310)
(7, 1, 2, (1, 1, 0), -4): (26, 398)
(7, 1, 2, (1, 1, 0), -3): (49, 526)
(7, 1, 2, (1, 1, 0), -2): (166, 741)
(7, 1, 2, (1, 1, 0), -1): (291, 879)
(7, 1, 2, (1, 1, 0), 0): (725, 1191)
(7, 1, 2, (1, 1, 0), 1): (903, 1098)
(7, 1, 2, (1, 1, 0), 2): (841, 904)
(7, 1, 2, (1, 1, 0), 3): (667, 695)
(7, 1, 2, (1, 1, 0), 4): (561, 574)
(7, 1, 2, (1, 1, 0), 5): (450, 452)
(7, 1, 2, (1, 1, 0), 6): (286, 286)
(7, 1, 2, (1, 1, 0), 7): (182, 183)
(7, 1, 2, (1, 1, 0), 8): (144, 144)
(7, 1, 2, (1, 1, 0), 9): (96, 96)
(7, 1, 2, (1, 1, 0), 10): (61, 61)
(7, 1, 2, (1, 1, 0), 11): (42, 42)
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(7, 1, 2, (1, 1, 1), -10): (0, 5)
(7, 1, 2, (1, 1, 1), -9): (0, 6)
(7, 1, 2, (1, 1, 1), -8): (0, 15)
(7, 1, 2, (1, 1, 1), -7): (0, 35)
(7, 1, 2, (1, 1, 1), -6): (1, 49)
(7, 1, 2, (1, 1, 1), -5): (7, 77)
(7, 1, 2, (1, 1, 1), -4): (17, 119)
(7, 1, 2, (1, 1, 1), -3): (20, 153)
(7, 1, 2, (1, 1, 1), -2): (57, 233)
(7, 1, 2, (1, 1, 1), -1): (126, 294)
(7, 1, 2, (1, 1, 1), 0): (265, 416)
(7, 1, 2, (1, 1, 1), 1): (337, 410)
(7, 1, 2, (1, 1, 1), 2): (333, 357)
(7, 1, 2, (1, 1, 1), 3): (277, 283)
(7, 1, 2, (1, 1, 1), 4): (216, 220)
(7, 1, 2, (1, 1, 1), 5): (159, 159)
(7, 1, 2, (1, 1, 1), 6): (109, 109)
(7, 1, 2, (1, 1, 1), 7): (65, 65)
(7, 1, 2, (1, 1, 1), 8): (45, 45)
(7, 1, 2, (1, 1, 1), 9): (34, 34)
(7, 1, 2, (1, 1, 1), 10): (22, 22)
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(8, 0, 0, (0, 0, 0), -15): (0, 21)
(8, 0, 0, (0, 0, 0), -14): (0, 43)
(8, 0, 0, (0, 0, 0), -13): (0, 80)
(8, 0, 0, (0, 0, 0), -12): (0, 97)
(8, 0, 0, (0, 0, 0), -11): (0, 200)
(8, 0, 0, (0, 0, 0), -10): (1, 345)
(8, 0, 0, (0, 0, 0), -9): (0, 521)
(8, 0, 0, (0, 0, 0), -8): (2, 819)
(8, 0, 0, (0, 0, 0), -7): (1, 1147)
(8, 0, 0, (0, 0, 0), -6): (8, 1806)
(8, 0, 0, (0, 0, 0), -5): (33, 2569)
(8, 0, 0, (0, 0, 0), -4): (91, 3462)
(8, 0, 0, (0, 0, 0), -3): (225, 4650)
(8, 0, 0, (0, 0, 0), -2): (590, 5784)
(8, 0, 0, (0, 0, 0), -1): (1498, 6766)
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(8, 0, 0, (0, 0, 0), 7): (890, 892)
(8, 0, 0, (0, 0, 0), 8): (607, 607)
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(8, 0, 0, (0, 0, 0), 10): (194, 194)
(8, 0, 0, (0, 0, 0), 11): (144, 144)
(8, 0, 0, (0, 0, 0), 12): (85, 85)
(8, 0, 0, (0, 0, 0), 13): (33, 33)
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(8, 0, 0, (0, 0, 1), -8): (0, 7)
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(8, 0, 0, (0, 0, 1), -6): (0, 17)
(8, 0, 0, (0, 0, 1), -5): (0, 25)
(8, 0, 0, (0, 0, 1), -4): (2, 30)
(8, 0, 0, (0, 0, 1), -3): (4, 41)
(8, 0, 0, (0, 0, 1), -2): (5, 50)
(8, 0, 0, (0, 0, 1), -1): (31, 75)
(8, 0, 0, (0, 0, 1), 0): (57, 84)
(8, 0, 0, (0, 0, 1), 1): (81, 98)
(8, 0, 0, (0, 0, 1), 2): (78, 86)
(8, 0, 0, (0, 0, 1), 3): (62, 63)
(8, 0, 0, (0, 0, 1), 4): (39, 39)
(8, 0, 0, (0, 0, 1), 5): (36, 36)
(8, 0, 0, (0, 0, 1), 6): (20, 20)
(8, 0, 0, (0, 0, 1), 7): (18, 18)
(8, 0, 0, (0, 0, 1), 8): (5, 5)
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(8, 0, 0, (0, 1, 0), -10): (0, 22)
(8, 0, 0, (0, 1, 0), -9): (0, 24)
(8, 0, 0, (0, 1, 0), -8): (0, 50)
(8, 0, 0, (0, 1, 0), -7): (0, 61)
(8, 0, 0, (0, 1, 0), -6): (0, 101)
(8, 0, 0, (0, 1, 0), -5): (6, 151)
(8, 0, 0, (0, 1, 0), -4): (12, 181)
(8, 0, 0, (0, 1, 0), -3): (27, 257)
(8, 0, 0, (0, 1, 0), -2): (53, 307)
(8, 0, 0, (0, 1, 0), -1): (149, 394)
(8, 0, 0, (0, 1, 0), 0): (277, 446)
(8, 0, 0, (0, 1, 0), 1): (417, 485)
(8, 0, 0, (0, 1, 0), 2): (343, 384)
(8, 0, 0, (0, 1, 0), 3): (298, 307)
(8, 0, 0, (0, 1, 0), 4): (255, 259)
(8, 0, 0, (0, 1, 0), 5): (162, 164)
(8, 0, 0, (0, 1, 0), 6): (112, 113)
(8, 0, 0, (0, 1, 0), 7): (58, 59)
(8, 0, 0, (0, 1, 0), 8): (51, 51)
(8, 0, 0, (0, 1, 0), 9): (35, 35)
(8, 0, 0, (0, 1, 0), 10): (16, 16)
(8, 0, 0, (0, 1, 0), 11): (9, 9)
(8, 0, 0, (0, 1, 0), 12): (8, 8)
(8, 0, 0, (0, 1, 0), 13): (2, 2)
(8, 0, 0, (0, 1, 0), 15): (2, 2)
(8, 0, 0, (0, 1, 0), 17): (1, 1)
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(8, 0, 1, (1, 0, 0), 5): (637, 645)
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(8, 0, 1, (1, 0, 0), 7): (322, 323)
(8, 0, 1, (1, 0, 0), 8): (209, 210)
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(8, 0, 1, (1, 0, 0), 11): (49, 49)
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(8, 0, 1, (1, 0, 0), 13): (11, 11)
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(8, 0, 1, (1, 0, 1), -5): (1, 98)
(8, 0, 1, (1, 0, 1), -4): (5, 138)
(8, 0, 1, (1, 0, 1), -3): (22, 170)
(8, 0, 1, (1, 0, 1), -2): (35, 217)
(8, 0, 1, (1, 0, 1), -1): (128, 328)
(8, 0, 1, (1, 0, 1), 0): (227, 374)
(8, 0, 1, (1, 0, 1), 1): (324, 378)
(8, 0, 1, (1, 0, 1), 2): (312, 337)
(8, 0, 1, (1, 0, 1), 3): (226, 237)
(8, 0, 1, (1, 0, 1), 4): (165, 168)
(8, 0, 1, (1, 0, 1), 5): (116, 116)
(8, 0, 1, (1, 0, 1), 6): (95, 96)
(8, 0, 1, (1, 0, 1), 7): (41, 41)
(8, 0, 1, (1, 0, 1), 8): (42, 42)
(8, 0, 1, (1, 0, 1), 9): (20, 20)
(8, 0, 1, (1, 0, 1), 10): (20, 20)
(8, 0, 1, (1, 0, 1), 11): (9, 9)
(8, 0, 1, (1, 0, 1), 12): (10, 10)
(8, 0, 1, (1, 0, 1), 13): (2, 2)
(8, 0, 1, (1, 0, 1), 14): (1, 1)
(8, 0, 1, (1, 0, 1), 15): (1, 1)
(8, 0, 1, (1, 1, 0), -18): (0, 1)
(8, 0, 1, (1, 1, 0), -17): (0, 1)
(8, 0, 1, (1, 1, 0), -16): (0, 1)
(8, 0, 1, (1, 1, 0), -15): (0, 1)
(8, 0, 1, (1, 1, 0), -14): (0, 4)
(8, 0, 1, (1, 1, 0), -13): (0, 8)
(8, 0, 1, (1, 1, 0), -12): (0, 7)
(8, 0, 1, (1, 1, 0), -11): (0, 27)
(8, 0, 1, (1, 1, 0), -10): (0, 30)
(8, 0, 1, (1, 1, 0), -9): (0, 42)
(8, 0, 1, (1, 1, 0), -8): (0, 83)
(8, 0, 1, (1, 1, 0), -7): (0, 107)
(8, 0, 1, (1, 1, 0), -6): (2, 189)
(8, 0, 1, (1, 1, 0), -5): (8, 249)
(8, 0, 1, (1, 1, 0), -4): (25, 390)
(8, 0, 1, (1, 1, 0), -3): (55, 555)
(8, 0, 1, (1, 1, 0), -2): (109, 611)
(8, 0, 1, (1, 1, 0), -1): (185, 644)
(8, 0, 1, (1, 1, 0), 0): (486, 823)
(8, 0, 1, (1, 1, 0), 1): (576, 721)
(8, 0, 1, (1, 1, 0), 2): (593, 668)
(8, 0, 1, (1, 1, 0), 3): (474, 506)
(8, 0, 1, (1, 1, 0), 4): (336, 350)
(8, 0, 1, (1, 1, 0), 5): (264, 266)
(8, 0, 1, (1, 1, 0), 6): (197, 197)
(8, 0, 1, (1, 1, 0), 7): (152, 153)
(8, 0, 1, (1, 1, 0), 8): (72, 73)
(8, 0, 1, (1, 1, 0), 9): (50, 50)
(8, 0, 1, (1, 1, 0), 10): (45, 45)
(8, 0, 1, (1, 1, 0), 11): (26, 26)
(8, 0, 1, (1, 1, 0), 12): (17, 17)
(8, 0, 1, (1, 1, 0), 13): (9, 9)
(8, 0, 1, (1, 1, 0), 14): (6, 6)
(8, 0, 1, (1, 1, 0), 15): (1, 1)
(8, 0, 1, (1, 1, 0), 16): (1, 1)
(8, 0, 1, (1, 1, 0), 17): (1, 1)
(8, 0, 1, (1, 1, 1), -18): (0, 1)
(8, 0, 1, (1, 1, 1), -16): (0, 1)
(8, 0, 1, (1, 1, 1), -14): (0, 3)
(8, 0, 1, (1, 1, 1), -13): (0, 1)
(8, 0, 1, (1, 1, 1), -11): (0, 5)
(8, 0, 1, (1, 1, 1), -10): (0, 10)
(8, 0, 1, (1, 1, 1), -9): (0, 12)
(8, 0, 1, (1, 1, 1), -8): (0, 24)
(8, 0, 1, (1, 1, 1), -7): (0, 32)
(8, 0, 1, (1, 1, 1), -6): (2, 51)
(8, 0, 1, (1, 1, 1), -5): (4, 64)
(8, 0, 1, (1, 1, 1), -4): (9, 90)
(8, 0, 1, (1, 1, 1), -3): (27, 142)
(8, 0, 1, (1, 1, 1), -2): (44, 151)
(8, 0, 1, (1, 1, 1), -1): (118, 256)
(8, 0, 1, (1, 1, 1), 0): (220, 306)
(8, 0, 1, (1, 1, 1), 1): (234, 280)
(8, 0, 1, (1, 1, 1), 2): (235, 258)
(8, 0, 1, (1, 1, 1), 3): (185, 194)
(8, 0, 1, (1, 1, 1), 4): (156, 164)
(8, 0, 1, (1, 1, 1), 5): (107, 109)
(8, 0, 1, (1, 1, 1), 6): (67, 67)
(8, 0, 1, (1, 1, 1), 7): (36, 37)
(8, 0, 1, (1, 1, 1), 8): (16, 16)
(8, 0, 1, (1, 1, 1), 9): (11, 11)
(8, 0, 1, (1, 1, 1), 10): (17, 17)
(8, 0, 1, (1, 1, 1), 11): (9, 9)
(8, 0, 1, (1, 1, 1), 12): (4, 4)
(8, 0, 1, (1, 1, 1), 13): (2, 2)
(8, 0, 1, (1, 1, 1), 14): (1, 1)
(8, 0, 1, (1, 1, 1), 15): (1, 1)
(8, 0, 2, (0, 0, 0), -21): (0, 1)
(8, 0, 2, (0, 0, 0), -19): (0, 2)
(8, 0, 2, (0, 0, 0), -17): (0, 1)
(8, 0, 2, (0, 0, 0), -16): (0, 7)
(8, 0, 2, (0, 0, 0), -15): (0, 9)
(8, 0, 2, (0, 0, 0), -14): (0, 19)
(8, 0, 2, (0, 0, 0), -13): (0, 38)
(8, 0, 2, (0, 0, 0), -12): (0, 63)
(8, 0, 2, (0, 0, 0), -11): (0, 104)
(8, 0, 2, (0, 0, 0), -10): (0, 174)
(8, 0, 2, (0, 0, 0), -9): (0, 294)
(8, 0, 2, (0, 0, 0), -8): (0, 435)
(8, 0, 2, (0, 0, 0), -7): (0, 609)
(8, 0, 2, (0, 0, 0), -6): (2, 962)
(8, 0, 2, (0, 0, 0), -5): (6, 1347)
(8, 0, 2, (0, 0, 0), -4): (19, 1863)
(8, 0, 2, (0, 0, 0), -3): (52, 2531)
(8, 0, 2, (0, 0, 0), -2): (166, 3168)
(8, 0, 2, (0, 0, 0), -1): (487, 3726)
(8, 0, 2, (0, 0, 0), 0): (1575, 3968)
(8, 0, 2, (0, 0, 0), 1): (2640, 3729)
(8, 0, 2, (0, 0, 0), 2): (2700, 3111)
(8, 0, 2, (0, 0, 0), 3): (2261, 2417)
(8, 0, 2, (0, 0, 0), 4): (1700, 1769)
(8, 0, 2, (0, 0, 0), 5): (1259, 1285)
(8, 0, 2, (0, 0, 0), 6): (855, 858)
(8, 0, 2, (0, 0, 0), 7): (546, 548)
(8, 0, 2, (0, 0, 0), 8): (369, 369)
(8, 0, 2, (0, 0, 0), 9): (222, 222)
(8, 0, 2, (0, 0, 0), 10): (130, 130)
(8, 0, 2, (0, 0, 0), 11): (117, 117)
(8, 0, 2, (0, 0, 0), 12): (57, 57)
(8, 0, 2, (0, 0, 0), 13): (24, 24)
(8, 0, 2, (0, 0, 0), 14): (17, 17)
(8, 0, 2, (0, 0, 0), 15): (7, 7)
(8, 0, 2, (0, 0, 0), 16): (2, 2)
(8, 0, 2, (0, 0, 0), 17): (2, 2)
(8, 0, 2, (0, 0, 0), 18): (1, 1)
(8, 0, 2, (0, 0, 0), 20): (2, 2)
(8, 0, 2, (0, 0, 0), 22): (1, 1)
(8, 0, 2, (0, 0, 1), -19): (0, 1)
(8, 0, 2, (0, 0, 1), -15): (0, 1)
(8, 0, 2, (0, 0, 1), -14): (0, 3)
(8, 0, 2, (0, 0, 1), -13): (0, 5)
(8, 0, 2, (0, 0, 1), -12): (0, 2)
(8, 0, 2, (0, 0, 1), -11): (0, 6)
(8, 0, 2, (0, 0, 1), -10): (0, 18)
(8, 0, 2, (0, 0, 1), -9): (0, 19)
(8, 0, 2, (0, 0, 1), -8): (0, 35)
(8, 0, 2, (0, 0, 1), -7): (0, 52)
(8, 0, 2, (0, 0, 1), -6): (0, 75)
(8, 0, 2, (0, 0, 1), -5): (0, 114)
(8, 0, 2, (0, 0, 1), -4): (3, 167)
(8, 0, 2, (0, 0, 1), -3): (8, 190)
(8, 0, 2, (0, 0, 1), -2): (25, 254)
(8, 0, 2, (0, 0, 1), -1): (69, 352)
(8, 0, 2, (0, 0, 1), 0): (221, 460)
(8, 0, 2, (0, 0, 1), 1): (325, 407)
(8, 0, 2, (0, 0, 1), 2): (314, 362)
(8, 0, 2, (0, 0, 1), 3): (338, 359)
(8, 0, 2, (0, 0, 1), 4): (251, 258)
(8, 0, 2, (0, 0, 1), 5): (161, 162)
(8, 0, 2, (0, 0, 1), 6): (122, 123)
(8, 0, 2, (0, 0, 1), 7): (83, 83)
(8, 0, 2, (0, 0, 1), 8): (49, 49)
(8, 0, 2, (0, 0, 1), 9): (31, 31)
(8, 0, 2, (0, 0, 1), 10): (20, 20)
(8, 0, 2, (0, 0, 1), 11): (13, 13)
(8, 0, 2, (0, 0, 1), 12): (6, 6)
(8, 0, 2, (0, 0, 1), 13): (5, 5)
(8, 0, 2, (0, 0, 1), 14): (2, 2)
(8, 0, 2, (0, 0, 1), 15): (3, 3)
(8, 0, 2, (0, 0, 1), 17): (1, 1)
(8, 0, 2, (0, 0, 1), 22): (2, 2)
(8, 0, 2, (0, 1, 0), -21): (0, 1)
(8, 0, 2, (0, 1, 0), -16): (0, 1)
(8, 0, 2, (0, 1, 0), -15): (0, 4)
(8, 0, 2, (0, 1, 0), -14): (0, 1)
(8, 0, 2, (0, 1, 0), -13): (0, 9)
(8, 0, 2, (0, 1, 0), -12): (0, 12)
(8, 0, 2, (0, 1, 0), -11): (0, 21)
(8, 0, 2, (0, 1, 0), -10): (0, 34)
(8, 0, 2, (0, 1, 0), -9): (0, 59)
(8, 0, 2, (0, 1, 0), -8): (0, 88)
(8, 0, 2, (0, 1, 0), -7): (0, 142)
(8, 0, 2, (0, 1, 0), -6): (1, 212)
(8, 0, 2, (0, 1, 0), -5): (2, 260)
(8, 0, 2, (0, 1, 0), -4): (4, 389)
(8, 0, 2, (0, 1, 0), -3): (17, 523)
(8, 0, 2, (0, 1, 0), -2): (50, 655)
(8, 0, 2, (0, 1, 0), -1): (184, 998)
(8, 0, 2, (0, 1, 0), 0): (577, 1232)
(8, 0, 2, (0, 1, 0), 1): (903, 1211)
(8, 0, 2, (0, 1, 0), 2): (872, 1035)
(8, 0, 2, (0, 1, 0), 3): (770, 824)
(8, 0, 2, (0, 1, 0), 4): (617, 641)
(8, 0, 2, (0, 1, 0), 5): (443, 452)
(8, 0, 2, (0, 1, 0), 6): (255, 259)
(8, 0, 2, (0, 1, 0), 7): (193, 193)
(8, 0, 2, (0, 1, 0), 8): (103, 103)
(8, 0, 2, (0, 1, 0), 9): (77, 77)
(8, 0, 2, (0, 1, 0), 10): (45, 45)
(8, 0, 2, (0, 1, 0), 11): (26, 26)
(8, 0, 2, (0, 1, 0), 12): (19, 19)
(8, 0, 2, (0, 1, 0), 13): (11, 11)
(8, 0, 2, (0, 1, 0), 14): (5, 5)
(8, 0, 2, (0, 1, 0), 15): (2, 2)
(8, 0, 2, (0, 1, 0), 16): (3, 3)
(8, 0, 2, (0, 1, 0), 20): (1, 1)
(8, 0, 2, (0, 1, 0), 21): (1, 1)
(8, 0, 2, (0, 1, 1), -15): (0, 1)
(8, 0, 2, (0, 1, 1), -14): (0, 2)
(8, 0, 2, (0, 1, 1), -13): (0, 2)
(8, 0, 2, (0, 1, 1), -12): (0, 2)
(8, 0, 2, (0, 1, 1), -11): (0, 3)
(8, 0, 2, (0, 1, 1), -10): (0, 7)
(8, 0, 2, (0, 1, 1), -9): (0, 14)
(8, 0, 2, (0, 1, 1), -8): (0, 20)
(8, 0, 2, (0, 1, 1), -7): (0, 37)
(8, 0, 2, (0, 1, 1), -6): (0, 60)
(8, 0, 2, (0, 1, 1), -5): (0, 83)
(8, 0, 2, (0, 1, 1), -4): (5, 98)
(8, 0, 2, (0, 1, 1), -3): (7, 133)
(8, 0, 2, (0, 1, 1), -2): (30, 195)
(8, 0, 2, (0, 1, 1), -1): (50, 186)
(8, 0, 2, (0, 1, 1), 0): (131, 234)
(8, 0, 2, (0, 1, 1), 1): (217, 279)
(8, 0, 2, (0, 1, 1), 2): (253, 283)
(8, 0, 2, (0, 1, 1), 3): (206, 216)
(8, 0, 2, (0, 1, 1), 4): (165, 169)
(8, 0, 2, (0, 1, 1), 5): (122, 122)
(8, 0, 2, (0, 1, 1), 6): (87, 87)
(8, 0, 2, (0, 1, 1), 7): (64, 65)
(8, 0, 2, (0, 1, 1), 8): (47, 47)
(8, 0, 2, (0, 1, 1), 9): (17, 17)
(8, 0, 2, (0, 1, 1), 10): (7, 7)
(8, 0, 2, (0, 1, 1), 11): (10, 10)
(8, 0, 2, (0, 1, 1), 12): (9, 9)
(8, 0, 2, (0, 1, 1), 13): (8, 8)
(8, 0, 2, (0, 1, 1), 14): (2, 2)
(8, 0, 2, (1, 0, 0), -22): (0, 1)
(8, 0, 2, (1, 0, 0), -16): (0, 6)
(8, 0, 2, (1, 0, 0), -15): (0, 6)
(8, 0, 2, (1, 0, 0), -14): (0, 13)
(8, 0, 2, (1, 0, 0), -13): (0, 23)
(8, 0, 2, (1, 0, 0), -12): (0, 28)
(8, 0, 2, (1, 0, 0), -11): (0, 50)
(8, 0, 2, (1, 0, 0), -10): (0, 87)
(8, 0, 2, (1, 0, 0), -9): (0, 160)
(8, 0, 2, (1, 0, 0), -8): (1, 245)
(8, 0, 2, (1, 0, 0), -7): (0, 329)
(8, 0, 2, (1, 0, 0), -6): (1, 520)
(8, 0, 2, (1, 0, 0), -5): (3, 734)
(8, 0, 2, (1, 0, 0), -4): (15, 1052)
(8, 0, 2, (1, 0, 0), -3): (40, 1387)
(8, 0, 2, (1, 0, 0), -2): (135, 1719)
(8, 0, 2, (1, 0, 0), -1): (326, 1985)
(8, 0, 2, (1, 0, 0), 0): (853, 2031)
(8, 0, 2, (1, 0, 0), 1): (1359, 1836)
(8, 0, 2, (1, 0, 0), 2): (1345, 1577)
(8, 0, 2, (1, 0, 0), 3): (1150, 1236)
(8, 0, 2, (1, 0, 0), 4): (936, 980)
(8, 0, 2, (1, 0, 0), 5): (696, 706)
(8, 0, 2, (1, 0, 0), 6): (524, 527)
(8, 0, 2, (1, 0, 0), 7): (330, 330)
(8, 0, 2, (1, 0, 0), 8): (250, 250)
(8, 0, 2, (1, 0, 0), 9): (163, 164)
(8, 0, 2, (1, 0, 0), 10): (81, 81)
(8, 0, 2, (1, 0, 0), 11): (62, 62)
(8, 0, 2, (1, 0, 0), 12): (40, 40)
(8, 0, 2, (1, 0, 0), 13): (15, 15)
(8, 0, 2, (1, 0, 0), 14): (19, 19)
(8, 0, 2, (1, 0, 0), 15): (5, 5)
(8, 0, 2, (1, 0, 0), 16): (6, 6)
(8, 0, 2, (1, 0, 0), 17): (2, 2)
(8, 0, 2, (1, 0, 0), 18): (6, 6)
(8, 0, 2, (1, 0, 0), 20): (1, 1)
(8, 0, 2, (1, 0, 1), -22): (0, 1)
(8, 0, 2, (1, 0, 1), -19): (0, 1)
(8, 0, 2, (1, 0, 1), -17): (0, 1)
(8, 0, 2, (1, 0, 1), -15): (0, 1)
(8, 0, 2, (1, 0, 1), -14): (0, 3)
(8, 0, 2, (1, 0, 1), -13): (0, 6)
(8, 0, 2, (1, 0, 1), -12): (0, 4)
(8, 0, 2, (1, 0, 1), -11): (0, 8)
(8, 0, 2, (1, 0, 1), -10): (0, 15)
(8, 0, 2, (1, 0, 1), -9): (0, 21)
(8, 0, 2, (1, 0, 1), -8): (0, 36)
(8, 0, 2, (1, 0, 1), -7): (0, 54)
(8, 0, 2, (1, 0, 1), -6): (0, 91)
(8, 0, 2, (1, 0, 1), -5): (1, 127)
(8, 0, 2, (1, 0, 1), -4): (6, 200)
(8, 0, 2, (1, 0, 1), -3): (15, 257)
(8, 0, 2, (1, 0, 1), -2): (29, 309)
(8, 0, 2, (1, 0, 1), -1): (80, 371)
(8, 0, 2, (1, 0, 1), 0): (249, 532)
(8, 0, 2, (1, 0, 1), 1): (364, 484)
(8, 0, 2, (1, 0, 1), 2): (376, 416)
(8, 0, 2, (1, 0, 1), 3): (324, 348)
(8, 0, 2, (1, 0, 1), 4): (247, 255)
(8, 0, 2, (1, 0, 1), 5): (179, 182)
(8, 0, 2, (1, 0, 1), 6): (136, 136)
(8, 0, 2, (1, 0, 1), 7): (97, 97)
(8, 0, 2, (1, 0, 1), 8): (73, 73)
(8, 0, 2, (1, 0, 1), 9): (39, 39)
(8, 0, 2, (1, 0, 1), 10): (28, 28)
(8, 0, 2, (1, 0, 1), 11): (13, 13)
(8, 0, 2, (1, 0, 1), 12): (16, 16)
(8, 0, 2, (1, 0, 1), 13): (5, 5)
(8, 0, 2, (1, 0, 1), 14): (3, 3)
(8, 0, 2, (1, 0, 1), 16): (1, 1)
(8, 0, 2, (1, 0, 1), 17): (2, 2)
(8, 0, 2, (1, 1, 0), -17): (0, 1)
(8, 0, 2, (1, 1, 0), -15): (0, 3)
(8, 0, 2, (1, 1, 0), -14): (0, 3)
(8, 0, 2, (1, 1, 0), -13): (0, 13)
(8, 0, 2, (1, 1, 0), -12): (0, 13)
(8, 0, 2, (1, 1, 0), -11): (0, 27)
(8, 0, 2, (1, 1, 0), -10): (0, 34)
(8, 0, 2, (1, 1, 0), -9): (0, 59)
(8, 0, 2, (1, 1, 0), -8): (0, 87)
(8, 0, 2, (1, 1, 0), -7): (0, 134)
(8, 0, 2, (1, 1, 0), -6): (0, 227)
(8, 0, 2, (1, 1, 0), -5): (3, 282)
(8, 0, 2, (1, 1, 0), -4): (6, 393)
(8, 0, 2, (1, 1, 0), -3): (29, 571)
(8, 0, 2, (1, 1, 0), -2): (75, 702)
(8, 0, 2, (1, 1, 0), -1): (144, 805)
(8, 0, 2, (1, 1, 0), 0): (505, 1080)
(8, 0, 2, (1, 1, 0), 1): (753, 989)
(8, 0, 2, (1, 1, 0), 2): (803, 930)
(8, 0, 2, (1, 1, 0), 3): (673, 717)
(8, 0, 2, (1, 1, 0), 4): (484, 506)
(8, 0, 2, (1, 1, 0), 5): (364, 369)
(8, 0, 2, (1, 1, 0), 6): (275, 276)
(8, 0, 2, (1, 1, 0), 7): (189, 189)
(8, 0, 2, (1, 1, 0), 8): (118, 119)
(8, 0, 2, (1, 1, 0), 9): (74, 74)
(8, 0, 2, (1, 1, 0), 10): (53, 53)
(8, 0, 2, (1, 1, 0), 11): (30, 30)
(8, 0, 2, (1, 1, 0), 12): (16, 16)
(8, 0, 2, (1, 1, 0), 13): (9, 9)
(8, 0, 2, (1, 1, 0), 14): (8, 8)
(8, 0, 2, (1, 1, 0), 15): (8, 8)
(8, 0, 2, (1, 1, 0), 16): (6, 6)
(8, 0, 2, (1, 1, 0), 20): (1, 1)
(8, 0, 2, (1, 1, 0), 21): (1, 1)
(8, 0, 2, (1, 1, 0), 22): (1, 1)
(8, 0, 2, (1, 1, 1), -13): (0, 2)
(8, 0, 2, (1, 1, 1), -11): (0, 3)
(8, 0, 2, (1, 1, 1), -10): (0, 7)
(8, 0, 2, (1, 1, 1), -9): (0, 15)
(8, 0, 2, (1, 1, 1), -8): (0, 22)
(8, 0, 2, (1, 1, 1), -7): (0, 37)
(8, 0, 2, (1, 1, 1), -6): (1, 49)
(8, 0, 2, (1, 1, 1), -5): (1, 64)
(8, 0, 2, (1, 1, 1), -4): (2, 105)
(8, 0, 2, (1, 1, 1), -3): (15, 166)
(8, 0, 2, (1, 1, 1), -2): (29, 198)
(8, 0, 2, (1, 1, 1), -1): (72, 277)
(8, 0, 2, (1, 1, 1), 0): (206, 363)
(8, 0, 2, (1, 1, 1), 1): (265, 337)
(8, 0, 2, (1, 1, 1), 2): (288, 320)
(8, 0, 2, (1, 1, 1), 3): (244, 253)
(8, 0, 2, (1, 1, 1), 4): (194, 200)
(8, 0, 2, (1, 1, 1), 5): (126, 129)
(8, 0, 2, (1, 1, 1), 6): (81, 81)
(8, 0, 2, (1, 1, 1), 7): (67, 67)
(8, 0, 2, (1, 1, 1), 8): (37, 37)
(8, 0, 2, (1, 1, 1), 9): (26, 26)
(8, 0, 2, (1, 1, 1), 10): (12, 12)
(8, 0, 2, (1, 1, 1), 11): (6, 6)
(8, 0, 2, (1, 1, 1), 12): (6, 6)
(8, 0, 2, (1, 1, 1), 13): (7, 7)
(8, 0, 2, (1, 1, 1), 14): (2, 2)
(8, 0, 2, (1, 1, 1), 15): (2, 2)
(8, 0, 2, (1, 1, 1), 16): (1, 1)
(8, 1, 0, (0, 0, 0), -22): (0, 3)
(8, 1, 0, (0, 0, 0), -21): (0, 1)
(8, 1, 0, (0, 0, 0), -20): (0, 1)
(8, 1, 0, (0, 0, 0), -18): (0, 5)
(8, 1, 0, (0, 0, 0), -17): (0, 5)
(8, 1, 0, (0, 0, 0), -16): (0, 11)
(8, 1, 0, (0, 0, 0), -15): (0, 18)
(8, 1, 0, (0, 0, 0), -14): (0, 43)
(8, 1, 0, (0, 0, 0), -13): (0, 65)
(8, 1, 0, (0, 0, 0), -12): (0, 113)
(8, 1, 0, (0, 0, 0), -11): (0, 221)
(8, 1, 0, (0, 0, 0), -10): (0, 303)
(8, 1, 0, (0, 0, 0), -9): (1, 464)
(8, 1, 0, (0, 0, 0), -8): (2, 747)
(8, 1, 0, (0, 0, 0), -7): (4, 1143)
(8, 1, 0, (0, 0, 0), -6): (12, 1689)
(8, 1, 0, (0, 0, 0), -5): (44, 2449)
(8, 1, 0, (0, 0, 0), -4): (152, 3372)
(8, 1, 0, (0, 0, 0), -3): (309, 4564)
(8, 1, 0, (0, 0, 0), -2): (827, 5580)
(8, 1, 0, (0, 0, 0), -1): (1889, 6459)
(8, 1, 0, (0, 0, 0), 0): (4269, 6796)
(8, 1, 0, (0, 0, 0), 1): (5705, 6371)
(8, 1, 0, (0, 0, 0), 2): (5157, 5406)
(8, 1, 0, (0, 0, 0), 3): (4223, 4290)
(8, 1, 0, (0, 0, 0), 4): (3223, 3252)
(8, 1, 0, (0, 0, 0), 5): (2354, 2360)
(8, 1, 0, (0, 0, 0), 6): (1648, 1650)
(8, 1, 0, (0, 0, 0), 7): (1024, 1024)
(8, 1, 0, (0, 0, 0), 8): (722, 723)
(8, 1, 0, (0, 0, 0), 9): (480, 480)
(8, 1, 0, (0, 0, 0), 10): (296, 296)
(8, 1, 0, (0, 0, 0), 11): (183, 183)
(8, 1, 0, (0, 0, 0), 12): (103, 103)
(8, 1, 0, (0, 0, 0), 13): (66, 66)
(8, 1, 0, (0, 0, 0), 14): (39, 39)
(8, 1, 0, (0, 0, 0), 15): (20, 20)
(8, 1, 0, (0, 0, 0), 16): (12, 12)
(8, 1, 0, (0, 0, 0), 17): (4, 4)
(8, 1, 0, (0, 0, 0), 19): (3, 3)
(8, 1, 0, (0, 0, 0), 21): (2, 2)
(8, 1, 0, (0, 0, 0), 22): (1, 1)
(8, 1, 0, (0, 0, 1), -14): (0, 1)
(8, 1, 0, (0, 0, 1), -11): (0, 4)
(8, 1, 0, (0, 0, 1), -10): (0, 4)
(8, 1, 0, (0, 0, 1), -9): (0, 10)
(8, 1, 0, (0, 0, 1), -8): (0, 11)
(8, 1, 0, (0, 0, 1), -7): (0, 10)
(8, 1, 0, (0, 0, 1), -6): (0, 24)
(8, 1, 0, (0, 0, 1), -5): (0, 22)
(8, 1, 0, (0, 0, 1), -4): (4, 35)
(8, 1, 0, (0, 0, 1), -3): (9, 51)
(8, 1, 0, (0, 0, 1), -2): (12, 56)
(8, 1, 0, (0, 0, 1), -1): (40, 66)
(8, 1, 0, (0, 0, 1), 0): (71, 93)
(8, 1, 0, (0, 0, 1), 1): (79, 84)
(8, 1, 0, (0, 0, 1), 2): (94, 96)
(8, 1, 0, (0, 0, 1), 3): (71, 72)
(8, 1, 0, (0, 0, 1), 4): (54, 55)
(8, 1, 0, (0, 0, 1), 5): (27, 27)
(8, 1, 0, (0, 0, 1), 6): (26, 26)
(8, 1, 0, (0, 0, 1), 7): (21, 21)
(8, 1, 0, (0, 0, 1), 8): (13, 13)
(8, 1, 0, (0, 0, 1), 9): (8, 8)
(8, 1, 0, (0, 0, 1), 10): (8, 8)
(8, 1, 0, (0, 0, 1), 11): (3, 3)
(8, 1, 0, (0, 0, 1), 12): (1, 1)
(8, 1, 0, (0, 0, 1), 14): (2, 2)
(8, 1, 0, (0, 1, 0), -16): (0, 2)
(8, 1, 0, (0, 1, 0), -15): (0, 3)
(8, 1, 0, (0, 1, 0), -14): (0, 1)
(8, 1, 0, (0, 1, 0), -13): (0, 8)
(8, 1, 0, (0, 1, 0), -12): (0, 6)
(8, 1, 0, (0, 1, 0), -11): (0, 14)
(8, 1, 0, (0, 1, 0), -10): (0, 17)
(8, 1, 0, (0, 1, 0), -9): (0, 22)
(8, 1, 0, (0, 1, 0), -8): (0, 44)
(8, 1, 0, (0, 1, 0), -7): (1, 79)
(8, 1, 0, (0, 1, 0), -6): (1, 106)
(8, 1, 0, (0, 1, 0), -5): (2, 156)
(8, 1, 0, (0, 1, 0), -4): (16, 204)
(8, 1, 0, (0, 1, 0), -3): (34, 259)
(8, 1, 0, (0, 1, 0), -2): (102, 345)
(8, 1, 0, (0, 1, 0), -1): (191, 408)
(8, 1, 0, (0, 1, 0), 0): (337, 452)
(8, 1, 0, (0, 1, 0), 1): (429, 477)
(8, 1, 0, (0, 1, 0), 2): (427, 442)
(8, 1, 0, (0, 1, 0), 3): (389, 390)
(8, 1, 0, (0, 1, 0), 4): (296, 297)
(8, 1, 0, (0, 1, 0), 5): (206, 206)
(8, 1, 0, (0, 1, 0), 6): (141, 141)
(8, 1, 0, (0, 1, 0), 7): (82, 82)
(8, 1, 0, (0, 1, 0), 8): (51, 51)
(8, 1, 0, (0, 1, 0), 9): (32, 32)
(8, 1, 0, (0, 1, 0), 10): (19, 19)
(8, 1, 0, (0, 1, 0), 11): (16, 16)
(8, 1, 0, (0, 1, 0), 12): (8, 8)
(8, 1, 0, (0, 1, 0), 13): (5, 5)
(8, 1, 0, (0, 1, 0), 14): (2, 2)
(8, 1, 0, (0, 1, 0), 15): (2, 2)
(8, 1, 0, (0, 1, 0), 16): (1, 1)
(8, 1, 0, (0, 1, 1), -13): (0, 1)
(8, 1, 0, (0, 1, 1), -12): (0, 4)
(8, 1, 0, (0, 1, 1), -11): (0, 1)
(8, 1, 0, (0, 1, 1), -10): (0, 7)
(8, 1, 0, (0, 1, 1), -9): (0, 5)
(8, 1, 0, (0, 1, 1), -8): (0, 9)
(8, 1, 0, (0, 1, 1), -7): (0, 12)
(8, 1, 0, (0, 1, 1), -6): (3, 27)
(8, 1, 0, (0, 1, 1), -5): (2, 25)
(8, 1, 0, (0, 1, 1), -4): (4, 35)
(8, 1, 0, (0, 1, 1), -3): (18, 71)
(8, 1, 0, (0, 1, 1), -2): (36, 72)
(8, 1, 0, (0, 1, 1), -1): (50, 68)
(8, 1, 0, (0, 1, 1), 0): (75, 82)
(8, 1, 0, (0, 1, 1), 1): (82, 84)
(8, 1, 0, (0, 1, 1), 2): (64, 67)
(8, 1, 0, (0, 1, 1), 3): (70, 70)
(8, 1, 0, (0, 1, 1), 4): (49, 49)
(8, 1, 0, (0, 1, 1), 5): (39, 39)
(8, 1, 0, (0, 1, 1), 6): (23, 23)
(8, 1, 0, (0, 1, 1), 7): (26, 26)
(8, 1, 0, (0, 1, 1), 8): (16, 16)
(8, 1, 0, (0, 1, 1), 9): (10, 10)
(8, 1, 0, (0, 1, 1), 10): (5, 5)
(8, 1, 0, (0, 1, 1), 11): (6, 6)
(8, 1, 0, (0, 1, 1), 12): (5, 5)
(8, 1, 0, (0, 1, 1), 15): (1, 1)
(8, 1, 0, (0, 1, 1), 17): (1, 1)
(8, 1, 0, (1, 0, 0), -22): (0, 1)
(8, 1, 0, (1, 0, 0), -18): (0, 2)
(8, 1, 0, (1, 0, 0), -17): (0, 2)
(8, 1, 0, (1, 0, 0), -16): (0, 5)
(8, 1, 0, (1, 0, 0), -15): (0, 3)
(8, 1, 0, (1, 0, 0), -14): (0, 12)
(8, 1, 0, (1, 0, 0), -13): (0, 22)
(8, 1, 0, (1, 0, 0), -12): (0, 38)
(8, 1, 0, (1, 0, 0), -11): (0, 44)
(8, 1, 0, (1, 0, 0), -10): (0, 87)
(8, 1, 0, (1, 0, 0), -9): (0, 131)
(8, 1, 0, (1, 0, 0), -8): (2, 201)
(8, 1, 0, (1, 0, 0), -7): (3, 279)
(8, 1, 0, (1, 0, 0), -6): (5, 454)
(8, 1, 0, (1, 0, 0), -5): (20, 623)
(8, 1, 0, (1, 0, 0), -4): (66, 818)
(8, 1, 0, (1, 0, 0), -3): (137, 1213)
(8, 1, 0, (1, 0, 0), -2): (352, 1501)
(8, 1, 0, (1, 0, 0), -1): (688, 1751)
(8, 1, 0, (1, 0, 0), 0): (1282, 1868)
(8, 1, 0, (1, 0, 0), 1): (1485, 1637)
(8, 1, 0, (1, 0, 0), 2): (1365, 1427)
(8, 1, 0, (1, 0, 0), 3): (1134, 1152)
(8, 1, 0, (1, 0, 0), 4): (801, 810)
(8, 1, 0, (1, 0, 0), 5): (608, 609)
(8, 1, 0, (1, 0, 0), 6): (412, 413)
(8, 1, 0, (1, 0, 0), 7): (282, 282)
(8, 1, 0, (1, 0, 0), 8): (211, 211)
(8, 1, 0, (1, 0, 0), 9): (110, 110)
(8, 1, 0, (1, 0, 0), 10): (71, 71)
(8, 1, 0, (1, 0, 0), 11): (53, 53)
(8, 1, 0, (1, 0, 0), 12): (35, 35)
(8, 1, 0, (1, 0, 0), 13): (19, 19)
(8, 1, 0, (1, 0, 0), 14): (12, 12)
(8, 1, 0, (1, 0, 0), 15): (7, 7)
(8, 1, 0, (1, 0, 0), 16): (1, 1)
(8, 1, 0, (1, 0, 0), 17): (2, 2)
(8, 1, 0, (1, 0, 0), 19): (1, 1)
(8, 1, 0, (1, 0, 0), 21): (1, 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), -13): (0, 5)
(8, 1, 0, (1, 0, 1), -12): (0, 2)
(8, 1, 0, (1, 0, 1), -11): (0, 5)
(8, 1, 0, (1, 0, 1), -10): (0, 3)
(8, 1, 0, (1, 0, 1), -9): (0, 8)
(8, 1, 0, (1, 0, 1), -8): (0, 11)
(8, 1, 0, (1, 0, 1), -7): (0, 26)
(8, 1, 0, (1, 0, 1), -6): (0, 26)
(8, 1, 0, (1, 0, 1), -5): (1, 43)
(8, 1, 0, (1, 0, 1), -4): (10, 72)
(8, 1, 0, (1, 0, 1), -3): (18, 91)
(8, 1, 0, (1, 0, 1), -2): (52, 123)
(8, 1, 0, (1, 0, 1), -1): (95, 142)
(8, 1, 0, (1, 0, 1), 0): (143, 170)
(8, 1, 0, (1, 0, 1), 1): (134, 147)
(8, 1, 0, (1, 0, 1), 2): (129, 133)
(8, 1, 0, (1, 0, 1), 3): (105, 106)
(8, 1, 0, (1, 0, 1), 4): (88, 88)
(8, 1, 0, (1, 0, 1), 5): (63, 63)
(8, 1, 0, (1, 0, 1), 6): (41, 41)
(8, 1, 0, (1, 0, 1), 7): (28, 28)
(8, 1, 0, (1, 0, 1), 8): (25, 25)
(8, 1, 0, (1, 0, 1), 9): (5, 5)
(8, 1, 0, (1, 0, 1), 10): (10, 10)
(8, 1, 0, (1, 0, 1), 11): (6, 6)
(8, 1, 0, (1, 0, 1), 12): (1, 1)
(8, 1, 0, (1, 0, 1), 15): (1, 1)
(8, 1, 0, (1, 1, 0), -18): (0, 1)
(8, 1, 0, (1, 1, 0), -16): (0, 2)
(8, 1, 0, (1, 1, 0), -15): (0, 1)
(8, 1, 0, (1, 1, 0), -14): (0, 4)
(8, 1, 0, (1, 1, 0), -13): (0, 5)
(8, 1, 0, (1, 1, 0), -12): (0, 8)
(8, 1, 0, (1, 1, 0), -11): (0, 11)
(8, 1, 0, (1, 1, 0), -10): (0, 21)
(8, 1, 0, (1, 1, 0), -9): (0, 36)
(8, 1, 0, (1, 1, 0), -8): (0, 47)
(8, 1, 0, (1, 1, 0), -7): (1, 78)
(8, 1, 0, (1, 1, 0), -6): (3, 126)
(8, 1, 0, (1, 1, 0), -5): (17, 163)
(8, 1, 0, (1, 1, 0), -4): (37, 221)
(8, 1, 0, (1, 1, 0), -3): (57, 324)
(8, 1, 0, (1, 1, 0), -2): (147, 385)
(8, 1, 0, (1, 1, 0), -1): (192, 330)
(8, 1, 0, (1, 1, 0), 0): (259, 326)
(8, 1, 0, (1, 1, 0), 1): (297, 329)
(8, 1, 0, (1, 1, 0), 2): (278, 288)
(8, 1, 0, (1, 1, 0), 3): (256, 261)
(8, 1, 0, (1, 1, 0), 4): (185, 187)
(8, 1, 0, (1, 1, 0), 5): (168, 168)
(8, 1, 0, (1, 1, 0), 6): (122, 122)
(8, 1, 0, (1, 1, 0), 7): (83, 83)
(8, 1, 0, (1, 1, 0), 8): (72, 72)
(8, 1, 0, (1, 1, 0), 9): (38, 38)
(8, 1, 0, (1, 1, 0), 10): (21, 21)
(8, 1, 0, (1, 1, 0), 11): (14, 14)
(8, 1, 0, (1, 1, 0), 12): (6, 6)
(8, 1, 0, (1, 1, 0), 13): (13, 13)
(8, 1, 0, (1, 1, 0), 14): (6, 6)
(8, 1, 0, (1, 1, 0), 15): (3, 3)
(8, 1, 0, (1, 1, 0), 16): (2, 2)
(8, 1, 0, (1, 1, 0), 19): (1, 1)
(8, 1, 0, (1, 1, 0), 21): (1, 1)
(8, 1, 0, (1, 1, 1), -13): (0, 1)
(8, 1, 0, (1, 1, 1), -12): (0, 1)
(8, 1, 0, (1, 1, 1), -11): (0, 2)
(8, 1, 0, (1, 1, 1), -10): (0, 5)
(8, 1, 0, (1, 1, 1), -9): (0, 8)
(8, 1, 0, (1, 1, 1), -8): (0, 10)
(8, 1, 0, (1, 1, 1), -7): (0, 16)
(8, 1, 0, (1, 1, 1), -6): (0, 21)
(8, 1, 0, (1, 1, 1), -5): (6, 31)
(8, 1, 0, (1, 1, 1), -4): (17, 45)
(8, 1, 0, (1, 1, 1), -3): (20, 69)
(8, 1, 0, (1, 1, 1), -2): (39, 82)
(8, 1, 0, (1, 1, 1), -1): (54, 80)
(8, 1, 0, (1, 1, 1), 0): (93, 107)
(8, 1, 0, (1, 1, 1), 1): (107, 110)
(8, 1, 0, (1, 1, 1), 2): (98, 102)
(8, 1, 0, (1, 1, 1), 3): (64, 66)
(8, 1, 0, (1, 1, 1), 4): (55, 55)
(8, 1, 0, (1, 1, 1), 5): (36, 36)
(8, 1, 0, (1, 1, 1), 6): (23, 23)
(8, 1, 0, (1, 1, 1), 7): (19, 19)
(8, 1, 0, (1, 1, 1), 8): (17, 17)
(8, 1, 0, (1, 1, 1), 9): (11, 11)
(8, 1, 0, (1, 1, 1), 10): (5, 5)
(8, 1, 0, (1, 1, 1), 11): (5, 5)
(8, 1, 0, (1, 1, 1), 12): (2, 2)
(8, 1, 0, (1, 1, 1), 13): (2, 2)
(8, 1, 0, (1, 1, 1), 14): (3, 3)
(8, 1, 0, (1, 1, 1), 15): (3, 3)
(8, 1, 1, (0, 0, 0), -22): (0, 2)
(8, 1, 1, (0, 0, 0), -21): (0, 1)
(8, 1, 1, (0, 0, 0), -20): (0, 1)
(8, 1, 1, (0, 0, 0), -18): (0, 3)
(8, 1, 1, (0, 0, 0), -17): (0, 3)
(8, 1, 1, (0, 0, 0), -16): (0, 4)
(8, 1, 1, (0, 0, 0), -15): (0, 13)
(8, 1, 1, (0, 0, 0), -14): (0, 28)
(8, 1, 1, (0, 0, 0), -13): (0, 38)
(8, 1, 1, (0, 0, 0), -12): (0, 67)
(8, 1, 1, (0, 0, 0), -11): (0, 151)
(8, 1, 1, (0, 0, 0), -10): (0, 205)
(8, 1, 1, (0, 0, 0), -9): (0, 309)
(8, 1, 1, (0, 0, 0), -8): (0, 501)
(8, 1, 1, (0, 0, 0), -7): (1, 798)
(8, 1, 1, (0, 0, 0), -6): (6, 1142)
(8, 1, 1, (0, 0, 0), -5): (18, 1701)
(8, 1, 1, (0, 0, 0), -4): (65, 2368)
(8, 1, 1, (0, 0, 0), -3): (136, 3149)
(8, 1, 1, (0, 0, 0), -2): (399, 3885)
(8, 1, 1, (0, 0, 0), -1): (1050, 4528)
(8, 1, 1, (0, 0, 0), 0): (2754, 4708)
(8, 1, 1, (0, 0, 0), 1): (4047, 4549)
(8, 1, 1, (0, 0, 0), 2): (3697, 3890)
(8, 1, 1, (0, 0, 0), 3): (3053, 3101)
(8, 1, 1, (0, 0, 0), 4): (2356, 2376)
(8, 1, 1, (0, 0, 0), 5): (1735, 1740)
(8, 1, 1, (0, 0, 0), 6): (1209, 1210)
(8, 1, 1, (0, 0, 0), 7): (740, 740)
(8, 1, 1, (0, 0, 0), 8): (527, 528)
(8, 1, 1, (0, 0, 0), 9): (371, 371)
(8, 1, 1, (0, 0, 0), 10): (241, 241)
(8, 1, 1, (0, 0, 0), 11): (140, 140)
(8, 1, 1, (0, 0, 0), 12): (74, 74)
(8, 1, 1, (0, 0, 0), 13): (47, 47)
(8, 1, 1, (0, 0, 0), 14): (32, 32)
(8, 1, 1, (0, 0, 0), 15): (12, 12)
(8, 1, 1, (0, 0, 0), 16): (10, 10)
(8, 1, 1, (0, 0, 0), 17): (4, 4)
(8, 1, 1, (0, 0, 0), 18): (1, 1)
(8, 1, 1, (0, 0, 0), 19): (2, 2)
(8, 1, 1, (0, 0, 0), 21): (1, 1)
(8, 1, 1, (0, 0, 0), 22): (1, 1)
(8, 1, 1, (0, 0, 1), -14): (0, 1)
(8, 1, 1, (0, 0, 1), -12): (0, 1)
(8, 1, 1, (0, 0, 1), -11): (0, 6)
(8, 1, 1, (0, 0, 1), -10): (0, 7)
(8, 1, 1, (0, 0, 1), -9): (0, 11)
(8, 1, 1, (0, 0, 1), -8): (0, 27)
(8, 1, 1, (0, 0, 1), -7): (0, 17)
(8, 1, 1, (0, 0, 1), -6): (0, 49)
(8, 1, 1, (0, 0, 1), -5): (0, 72)
(8, 1, 1, (0, 0, 1), -4): (5, 87)
(8, 1, 1, (0, 0, 1), -3): (9, 114)
(8, 1, 1, (0, 0, 1), -2): (39, 184)
(8, 1, 1, (0, 0, 1), -1): (116, 273)
(8, 1, 1, (0, 0, 1), 0): (230, 312)
(8, 1, 1, (0, 0, 1), 1): (334, 362)
(8, 1, 1, (0, 0, 1), 2): (316, 328)
(8, 1, 1, (0, 0, 1), 3): (291, 296)
(8, 1, 1, (0, 0, 1), 4): (199, 200)
(8, 1, 1, (0, 0, 1), 5): (123, 123)
(8, 1, 1, (0, 0, 1), 6): (75, 75)
(8, 1, 1, (0, 0, 1), 7): (62, 62)
(8, 1, 1, (0, 0, 1), 8): (35, 35)
(8, 1, 1, (0, 0, 1), 9): (21, 21)
(8, 1, 1, (0, 0, 1), 10): (6, 6)
(8, 1, 1, (0, 0, 1), 11): (10, 10)
(8, 1, 1, (0, 0, 1), 12): (6, 6)
(8, 1, 1, (0, 0, 1), 13): (3, 3)
(8, 1, 1, (0, 0, 1), 14): (2, 2)
(8, 1, 1, (0, 0, 1), 15): (2, 2)
(8, 1, 1, (0, 0, 1), 18): (1, 1)
(8, 1, 1, (0, 1, 0), -18): (0, 1)
(8, 1, 1, (0, 1, 0), -17): (0, 1)
(8, 1, 1, (0, 1, 0), -16): (0, 1)
(8, 1, 1, (0, 1, 0), -15): (0, 4)
(8, 1, 1, (0, 1, 0), -14): (0, 5)
(8, 1, 1, (0, 1, 0), -13): (0, 7)
(8, 1, 1, (0, 1, 0), -12): (0, 9)
(8, 1, 1, (0, 1, 0), -11): (0, 23)
(8, 1, 1, (0, 1, 0), -10): (0, 32)
(8, 1, 1, (0, 1, 0), -9): (0, 43)
(8, 1, 1, (0, 1, 0), -8): (0, 76)
(8, 1, 1, (0, 1, 0), -7): (0, 118)
(8, 1, 1, (0, 1, 0), -6): (1, 157)
(8, 1, 1, (0, 1, 0), -5): (5, 231)
(8, 1, 1, (0, 1, 0), -4): (11, 341)
(8, 1, 1, (0, 1, 0), -3): (35, 430)
(8, 1, 1, (0, 1, 0), -2): (85, 515)
(8, 1, 1, (0, 1, 0), -1): (386, 1087)
(8, 1, 1, (0, 1, 0), 0): (921, 1354)
(8, 1, 1, (0, 1, 0), 1): (1021, 1122)
(8, 1, 1, (0, 1, 0), 2): (951, 999)
(8, 1, 1, (0, 1, 0), 3): (723, 735)
(8, 1, 1, (0, 1, 0), 4): (554, 559)
(8, 1, 1, (0, 1, 0), 5): (337, 338)
(8, 1, 1, (0, 1, 0), 6): (240, 240)
(8, 1, 1, (0, 1, 0), 7): (137, 137)
(8, 1, 1, (0, 1, 0), 8): (95, 95)
(8, 1, 1, (0, 1, 0), 9): (64, 64)
(8, 1, 1, (0, 1, 0), 10): (36, 36)
(8, 1, 1, (0, 1, 0), 11): (30, 30)
(8, 1, 1, (0, 1, 0), 12): (14, 14)
(8, 1, 1, (0, 1, 0), 13): (9, 9)
(8, 1, 1, (0, 1, 0), 14): (4, 4)
(8, 1, 1, (0, 1, 0), 15): (2, 2)
(8, 1, 1, (0, 1, 0), 16): (3, 3)
(8, 1, 1, (0, 1, 0), 17): (1, 1)
(8, 1, 1, (0, 1, 1), -14): (0, 1)
(8, 1, 1, (0, 1, 1), -12): (0, 5)
(8, 1, 1, (0, 1, 1), -11): (0, 7)
(8, 1, 1, (0, 1, 1), -10): (0, 16)
(8, 1, 1, (0, 1, 1), -9): (0, 9)
(8, 1, 1, (0, 1, 1), -8): (0, 26)
(8, 1, 1, (0, 1, 1), -7): (1, 32)
(8, 1, 1, (0, 1, 1), -6): (0, 38)
(8, 1, 1, (0, 1, 1), -5): (3, 60)
(8, 1, 1, (0, 1, 1), -4): (6, 77)
(8, 1, 1, (0, 1, 1), -3): (22, 133)
(8, 1, 1, (0, 1, 1), -2): (95, 255)
(8, 1, 1, (0, 1, 1), -1): (126, 219)
(8, 1, 1, (0, 1, 1), 0): (210, 268)
(8, 1, 1, (0, 1, 1), 1): (251, 266)
(8, 1, 1, (0, 1, 1), 2): (261, 272)
(8, 1, 1, (0, 1, 1), 3): (219, 223)
(8, 1, 1, (0, 1, 1), 4): (158, 160)
(8, 1, 1, (0, 1, 1), 5): (120, 120)
(8, 1, 1, (0, 1, 1), 6): (64, 64)
(8, 1, 1, (0, 1, 1), 7): (63, 63)
(8, 1, 1, (0, 1, 1), 8): (43, 43)
(8, 1, 1, (0, 1, 1), 9): (34, 34)
(8, 1, 1, (0, 1, 1), 10): (7, 7)
(8, 1, 1, (0, 1, 1), 11): (11, 11)
(8, 1, 1, (0, 1, 1), 12): (7, 7)
(8, 1, 1, (0, 1, 1), 13): (4, 4)
(8, 1, 1, (0, 1, 1), 14): (2, 2)
(8, 1, 1, (0, 1, 1), 15): (2, 2)
(8, 1, 1, (0, 1, 1), 21): (1, 1)
(8, 1, 1, (1, 0, 0), -22): (0, 1)
(8, 1, 1, (1, 0, 0), -18): (0, 1)
(8, 1, 1, (1, 0, 0), -17): (0, 1)
(8, 1, 1, (1, 0, 0), -16): (0, 1)
(8, 1, 1, (1, 0, 0), -15): (0, 6)
(8, 1, 1, (1, 0, 0), -14): (0, 13)
(8, 1, 1, (1, 0, 0), -13): (0, 18)
(8, 1, 1, (1, 0, 0), -12): (0, 37)
(8, 1, 1, (1, 0, 0), -11): (0, 72)
(8, 1, 1, (1, 0, 0), -10): (0, 94)
(8, 1, 1, (1, 0, 0), -9): (0, 142)
(8, 1, 1, (1, 0, 0), -8): (0, 217)
(8, 1, 1, (1, 0, 0), -7): (2, 333)
(8, 1, 1, (1, 0, 0), -6): (3, 482)
(8, 1, 1, (1, 0, 0), -5): (11, 751)
(8, 1, 1, (1, 0, 0), -4): (40, 1020)
(8, 1, 1, (1, 0, 0), -3): (105, 1376)
(8, 1, 1, (1, 0, 0), -2): (251, 1712)
(8, 1, 1, (1, 0, 0), -1): (575, 1876)
(8, 1, 1, (1, 0, 0), 0): (1245, 1995)
(8, 1, 1, (1, 0, 0), 1): (1543, 1711)
(8, 1, 1, (1, 0, 0), 2): (1499, 1570)
(8, 1, 1, (1, 0, 0), 3): (1271, 1290)
(8, 1, 1, (1, 0, 0), 4): (1016, 1020)
(8, 1, 1, (1, 0, 0), 5): (771, 772)
(8, 1, 1, (1, 0, 0), 6): (531, 532)
(8, 1, 1, (1, 0, 0), 7): (375, 375)
(8, 1, 1, (1, 0, 0), 8): (294, 295)
(8, 1, 1, (1, 0, 0), 9): (174, 174)
(8, 1, 1, (1, 0, 0), 10): (117, 117)
(8, 1, 1, (1, 0, 0), 11): (80, 80)
(8, 1, 1, (1, 0, 0), 12): (44, 44)
(8, 1, 1, (1, 0, 0), 13): (21, 21)
(8, 1, 1, (1, 0, 0), 14): (16, 16)
(8, 1, 1, (1, 0, 0), 15): (6, 6)
(8, 1, 1, (1, 0, 0), 16): (2, 2)
(8, 1, 1, (1, 0, 0), 17): (4, 4)
(8, 1, 1, (1, 0, 0), 18): (1, 1)
(8, 1, 1, (1, 0, 0), 19): (1, 1)
(8, 1, 1, (1, 0, 0), 21): (1, 1)
(8, 1, 1, (1, 0, 1), -15): (0, 2)
(8, 1, 1, (1, 0, 1), -14): (0, 2)
(8, 1, 1, (1, 0, 1), -13): (0, 3)
(8, 1, 1, (1, 0, 1), -12): (0, 4)
(8, 1, 1, (1, 0, 1), -11): (0, 11)
(8, 1, 1, (1, 0, 1), -10): (0, 6)
(8, 1, 1, (1, 0, 1), -9): (0, 14)
(8, 1, 1, (1, 0, 1), -8): (0, 33)
(8, 1, 1, (1, 0, 1), -7): (0, 57)
(8, 1, 1, (1, 0, 1), -6): (0, 69)
(8, 1, 1, (1, 0, 1), -5): (2, 91)
(8, 1, 1, (1, 0, 1), -4): (15, 142)
(8, 1, 1, (1, 0, 1), -3): (22, 176)
(8, 1, 1, (1, 0, 1), -2): (66, 229)
(8, 1, 1, (1, 0, 1), -1): (151, 319)
(8, 1, 1, (1, 0, 1), 0): (323, 419)
(8, 1, 1, (1, 0, 1), 1): (335, 357)
(8, 1, 1, (1, 0, 1), 2): (320, 330)
(8, 1, 1, (1, 0, 1), 3): (259, 264)
(8, 1, 1, (1, 0, 1), 4): (219, 223)
(8, 1, 1, (1, 0, 1), 5): (141, 141)
(8, 1, 1, (1, 0, 1), 6): (93, 94)
(8, 1, 1, (1, 0, 1), 7): (56, 56)
(8, 1, 1, (1, 0, 1), 8): (51, 51)
(8, 1, 1, (1, 0, 1), 9): (40, 40)
(8, 1, 1, (1, 0, 1), 10): (31, 31)
(8, 1, 1, (1, 0, 1), 11): (13, 13)
(8, 1, 1, (1, 0, 1), 12): (6, 6)
(8, 1, 1, (1, 0, 1), 13): (3, 3)
(8, 1, 1, (1, 0, 1), 14): (4, 4)
(8, 1, 1, (1, 0, 1), 15): (2, 2)
(8, 1, 1, (1, 0, 1), 16): (2, 2)
(8, 1, 1, (1, 0, 1), 17): (1, 1)
(8, 1, 1, (1, 0, 1), 18): (1, 1)
(8, 1, 1, (1, 1, 0), -16): (0, 2)
(8, 1, 1, (1, 1, 0), -15): (0, 4)
(8, 1, 1, (1, 1, 0), -14): (0, 2)
(8, 1, 1, (1, 1, 0), -13): (0, 7)
(8, 1, 1, (1, 1, 0), -12): (0, 12)
(8, 1, 1, (1, 1, 0), -11): (0, 23)
(8, 1, 1, (1, 1, 0), -10): (0, 43)
(8, 1, 1, (1, 1, 0), -9): (0, 56)
(8, 1, 1, (1, 1, 0), -8): (0, 73)
(8, 1, 1, (1, 1, 0), -7): (1, 124)
(8, 1, 1, (1, 1, 0), -6): (3, 154)
(8, 1, 1, (1, 1, 0), -5): (9, 263)
(8, 1, 1, (1, 1, 0), -4): (22, 368)
(8, 1, 1, (1, 1, 0), -3): (58, 464)
(8, 1, 1, (1, 1, 0), -2): (113, 571)
(8, 1, 1, (1, 1, 0), -1): (252, 608)
(8, 1, 1, (1, 1, 0), 0): (674, 940)
(8, 1, 1, (1, 1, 0), 1): (701, 778)
(8, 1, 1, (1, 1, 0), 2): (602, 637)
(8, 1, 1, (1, 1, 0), 3): (492, 501)
(8, 1, 1, (1, 1, 0), 4): (371, 373)
(8, 1, 1, (1, 1, 0), 5): (298, 299)
(8, 1, 1, (1, 1, 0), 6): (237, 237)
(8, 1, 1, (1, 1, 0), 7): (167, 167)
(8, 1, 1, (1, 1, 0), 8): (119, 119)
(8, 1, 1, (1, 1, 0), 9): (75, 75)
(8, 1, 1, (1, 1, 0), 10): (62, 62)
(8, 1, 1, (1, 1, 0), 11): (45, 45)
(8, 1, 1, (1, 1, 0), 12): (15, 15)
(8, 1, 1, (1, 1, 0), 13): (11, 11)
(8, 1, 1, (1, 1, 0), 14): (4, 4)
(8, 1, 1, (1, 1, 0), 15): (3, 3)
(8, 1, 1, (1, 1, 0), 16): (2, 2)
(8, 1, 1, (1, 1, 0), 17): (1, 1)
(8, 1, 1, (1, 1, 0), 19): (1, 1)
(8, 1, 1, (1, 1, 0), 21): (1, 1)
(8, 1, 1, (1, 1, 1), -15): (0, 1)
(8, 1, 1, (1, 1, 1), -14): (0, 1)
(8, 1, 1, (1, 1, 1), -13): (0, 1)
(8, 1, 1, (1, 1, 1), -12): (0, 2)
(8, 1, 1, (1, 1, 1), -11): (0, 7)
(8, 1, 1, (1, 1, 1), -10): (0, 10)
(8, 1, 1, (1, 1, 1), -9): (0, 11)
(8, 1, 1, (1, 1, 1), -8): (0, 22)
(8, 1, 1, (1, 1, 1), -7): (1, 39)
(8, 1, 1, (1, 1, 1), -6): (1, 46)
(8, 1, 1, (1, 1, 1), -5): (4, 85)
(8, 1, 1, (1, 1, 1), -4): (8, 82)
(8, 1, 1, (1, 1, 1), -3): (25, 117)
(8, 1, 1, (1, 1, 1), -2): (62, 177)
(8, 1, 1, (1, 1, 1), -1): (156, 276)
(8, 1, 1, (1, 1, 1), 0): (306, 387)
(8, 1, 1, (1, 1, 1), 1): (329, 349)
(8, 1, 1, (1, 1, 1), 2): (308, 320)
(8, 1, 1, (1, 1, 1), 3): (225, 228)
(8, 1, 1, (1, 1, 1), 4): (182, 183)
(8, 1, 1, (1, 1, 1), 5): (133, 133)
(8, 1, 1, (1, 1, 1), 6): (81, 81)
(8, 1, 1, (1, 1, 1), 7): (34, 34)
(8, 1, 1, (1, 1, 1), 8): (42, 42)
(8, 1, 1, (1, 1, 1), 9): (16, 16)
(8, 1, 1, (1, 1, 1), 10): (21, 21)
(8, 1, 1, (1, 1, 1), 11): (12, 12)
(8, 1, 1, (1, 1, 1), 12): (9, 9)
(8, 1, 1, (1, 1, 1), 13): (3, 3)
(8, 1, 1, (1, 1, 1), 14): (1, 1)
(8, 1, 1, (1, 1, 1), 15): (2, 2)
(8, 1, 1, (1, 1, 1), 16): (1, 1)
(8, 1, 2, (0, 0, 0), -22): (0, 2)
(8, 1, 2, (0, 0, 0), -21): (0, 1)
(8, 1, 2, (0, 0, 0), -20): (0, 1)
(8, 1, 2, (0, 0, 0), -18): (0, 2)
(8, 1, 2, (0, 0, 0), -17): (0, 3)
(8, 1, 2, (0, 0, 0), -16): (0, 7)
(8, 1, 2, (0, 0, 0), -15): (0, 7)
(8, 1, 2, (0, 0, 0), -14): (0, 17)
(8, 1, 2, (0, 0, 0), -13): (0, 32)
(8, 1, 2, (0, 0, 0), -12): (0, 53)
(8, 1, 2, (0, 0, 0), -11): (0, 91)
(8, 1, 2, (0, 0, 0), -10): (0, 146)
(8, 1, 2, (0, 0, 0), -9): (0, 231)
(8, 1, 2, (0, 0, 0), -8): (0, 377)
(8, 1, 2, (0, 0, 0), -7): (1, 594)
(8, 1, 2, (0, 0, 0), -6): (1, 884)
(8, 1, 2, (0, 0, 0), -5): (5, 1306)
(8, 1, 2, (0, 0, 0), -4): (33, 1771)
(8, 1, 2, (0, 0, 0), -3): (69, 2422)
(8, 1, 2, (0, 0, 0), -2): (244, 2998)
(8, 1, 2, (0, 0, 0), -1): (611, 3392)
(8, 1, 2, (0, 0, 0), 0): (1920, 3488)
(8, 1, 2, (0, 0, 0), 1): (3146, 3597)
(8, 1, 2, (0, 0, 0), 2): (2879, 3029)
(8, 1, 2, (0, 0, 0), 3): (2487, 2531)
(8, 1, 2, (0, 0, 0), 4): (1931, 1952)
(8, 1, 2, (0, 0, 0), 5): (1399, 1403)
(8, 1, 2, (0, 0, 0), 6): (985, 986)
(8, 1, 2, (0, 0, 0), 7): (596, 596)
(8, 1, 2, (0, 0, 0), 8): (439, 439)
(8, 1, 2, (0, 0, 0), 9): (320, 320)
(8, 1, 2, (0, 0, 0), 10): (213, 213)
(8, 1, 2, (0, 0, 0), 11): (113, 113)
(8, 1, 2, (0, 0, 0), 12): (69, 69)
(8, 1, 2, (0, 0, 0), 13): (41, 41)
(8, 1, 2, (0, 0, 0), 14): (32, 32)
(8, 1, 2, (0, 0, 0), 15): (14, 14)
(8, 1, 2, (0, 0, 0), 16): (9, 9)
(8, 1, 2, (0, 0, 0), 17): (4, 4)
(8, 1, 2, (0, 0, 0), 18): (1, 1)
(8, 1, 2, (0, 0, 0), 19): (2, 2)
(8, 1, 2, (0, 0, 0), 22): (1, 1)
(8, 1, 2, (0, 0, 1), -16): (0, 1)
(8, 1, 2, (0, 0, 1), -15): (0, 2)
(8, 1, 2, (0, 0, 1), -14): (0, 4)
(8, 1, 2, (0, 0, 1), -13): (0, 3)
(8, 1, 2, (0, 0, 1), -12): (0, 2)
(8, 1, 2, (0, 0, 1), -11): (0, 4)
(8, 1, 2, (0, 0, 1), -10): (0, 17)
(8, 1, 2, (0, 0, 1), -9): (0, 19)
(8, 1, 2, (0, 0, 1), -8): (0, 27)
(8, 1, 2, (0, 0, 1), -7): (0, 40)
(8, 1, 2, (0, 0, 1), -6): (1, 66)
(8, 1, 2, (0, 0, 1), -5): (2, 115)
(8, 1, 2, (0, 0, 1), -4): (2, 157)
(8, 1, 2, (0, 0, 1), -3): (7, 219)
(8, 1, 2, (0, 0, 1), -2): (19, 231)
(8, 1, 2, (0, 0, 1), -1): (126, 479)
(8, 1, 2, (0, 0, 1), 0): (260, 431)
(8, 1, 2, (0, 0, 1), 1): (378, 431)
(8, 1, 2, (0, 0, 1), 2): (396, 426)
(8, 1, 2, (0, 0, 1), 3): (393, 398)
(8, 1, 2, (0, 0, 1), 4): (273, 275)
(8, 1, 2, (0, 0, 1), 5): (204, 204)
(8, 1, 2, (0, 0, 1), 6): (114, 114)
(8, 1, 2, (0, 0, 1), 7): (101, 101)
(8, 1, 2, (0, 0, 1), 8): (60, 60)
(8, 1, 2, (0, 0, 1), 9): (37, 37)
(8, 1, 2, (0, 0, 1), 10): (14, 14)
(8, 1, 2, (0, 0, 1), 11): (19, 19)
(8, 1, 2, (0, 0, 1), 12): (8, 8)
(8, 1, 2, (0, 0, 1), 13): (5, 5)
(8, 1, 2, (0, 0, 1), 14): (2, 2)
(8, 1, 2, (0, 0, 1), 15): (5, 5)
(8, 1, 2, (0, 0, 1), 16): (2, 2)
(8, 1, 2, (0, 0, 1), 22): (1, 1)
(8, 1, 2, (0, 1, 0), -18): (0, 1)
(8, 1, 2, (0, 1, 0), -17): (0, 2)
(8, 1, 2, (0, 1, 0), -16): (0, 1)
(8, 1, 2, (0, 1, 0), -15): (0, 1)
(8, 1, 2, (0, 1, 0), -14): (0, 8)
(8, 1, 2, (0, 1, 0), -13): (0, 9)
(8, 1, 2, (0, 1, 0), -12): (0, 13)
(8, 1, 2, (0, 1, 0), -11): (0, 30)
(8, 1, 2, (0, 1, 0), -10): (0, 38)
(8, 1, 2, (0, 1, 0), -9): (0, 63)
(8, 1, 2, (0, 1, 0), -8): (0, 93)
(8, 1, 2, (0, 1, 0), -7): (0, 152)
(8, 1, 2, (0, 1, 0), -6): (1, 212)
(8, 1, 2, (0, 1, 0), -5): (2, 271)
(8, 1, 2, (0, 1, 0), -4): (10, 396)
(8, 1, 2, (0, 1, 0), -3): (34, 546)
(8, 1, 2, (0, 1, 0), -2): (87, 666)
(8, 1, 2, (0, 1, 0), -1): (262, 1056)
(8, 1, 2, (0, 1, 0), 0): (680, 1159)
(8, 1, 2, (0, 1, 0), 1): (991, 1110)
(8, 1, 2, (0, 1, 0), 2): (997, 1053)
(8, 1, 2, (0, 1, 0), 3): (866, 884)
(8, 1, 2, (0, 1, 0), 4): (709, 716)
(8, 1, 2, (0, 1, 0), 5): (441, 443)
(8, 1, 2, (0, 1, 0), 6): (316, 316)
(8, 1, 2, (0, 1, 0), 7): (201, 201)
(8, 1, 2, (0, 1, 0), 8): (139, 139)
(8, 1, 2, (0, 1, 0), 9): (81, 81)
(8, 1, 2, (0, 1, 0), 10): (65, 65)
(8, 1, 2, (0, 1, 0), 11): (36, 36)
(8, 1, 2, (0, 1, 0), 12): (32, 32)
(8, 1, 2, (0, 1, 0), 13): (17, 17)
(8, 1, 2, (0, 1, 0), 14): (11, 11)
(8, 1, 2, (0, 1, 0), 15): (6, 6)
(8, 1, 2, (0, 1, 0), 16): (5, 5)
(8, 1, 2, (0, 1, 0), 17): (1, 1)
(8, 1, 2, (0, 1, 0), 19): (1, 1)
(8, 1, 2, (0, 1, 1), -16): (0, 1)
(8, 1, 2, (0, 1, 1), -14): (0, 1)
(8, 1, 2, (0, 1, 1), -13): (0, 2)
(8, 1, 2, (0, 1, 1), -12): (0, 7)
(8, 1, 2, (0, 1, 1), -11): (0, 13)
(8, 1, 2, (0, 1, 1), -10): (0, 12)
(8, 1, 2, (0, 1, 1), -9): (0, 10)
(8, 1, 2, (0, 1, 1), -8): (0, 22)
(8, 1, 2, (0, 1, 1), -7): (0, 40)
(8, 1, 2, (0, 1, 1), -6): (0, 50)
(8, 1, 2, (0, 1, 1), -5): (3, 65)
(8, 1, 2, (0, 1, 1), -4): (6, 93)
(8, 1, 2, (0, 1, 1), -3): (11, 137)
(8, 1, 2, (0, 1, 1), -2): (44, 188)
(8, 1, 2, (0, 1, 1), -1): (61, 178)
(8, 1, 2, (0, 1, 1), 0): (170, 256)
(8, 1, 2, (0, 1, 1), 1): (273, 295)
(8, 1, 2, (0, 1, 1), 2): (256, 277)
(8, 1, 2, (0, 1, 1), 3): (217, 220)
(8, 1, 2, (0, 1, 1), 4): (168, 171)
(8, 1, 2, (0, 1, 1), 5): (130, 130)
(8, 1, 2, (0, 1, 1), 6): (90, 90)
(8, 1, 2, (0, 1, 1), 7): (71, 71)
(8, 1, 2, (0, 1, 1), 8): (54, 54)
(8, 1, 2, (0, 1, 1), 9): (28, 28)
(8, 1, 2, (0, 1, 1), 10): (17, 17)
(8, 1, 2, (0, 1, 1), 11): (18, 18)
(8, 1, 2, (0, 1, 1), 12): (9, 9)
(8, 1, 2, (0, 1, 1), 13): (4, 4)
(8, 1, 2, (0, 1, 1), 14): (2, 2)
(8, 1, 2, (0, 1, 1), 15): (1, 1)
(8, 1, 2, (1, 0, 0), -22): (0, 2)
(8, 1, 2, (1, 0, 0), -18): (0, 2)
(8, 1, 2, (1, 0, 0), -17): (0, 1)
(8, 1, 2, (1, 0, 0), -16): (0, 4)
(8, 1, 2, (1, 0, 0), -15): (0, 4)
(8, 1, 2, (1, 0, 0), -14): (0, 13)
(8, 1, 2, (1, 0, 0), -13): (0, 21)
(8, 1, 2, (1, 0, 0), -12): (0, 30)
(8, 1, 2, (1, 0, 0), -11): (0, 56)
(8, 1, 2, (1, 0, 0), -10): (0, 84)
(8, 1, 2, (1, 0, 0), -9): (0, 150)
(8, 1, 2, (1, 0, 0), -8): (0, 211)
(8, 1, 2, (1, 0, 0), -7): (0, 318)
(8, 1, 2, (1, 0, 0), -6): (1, 504)
(8, 1, 2, (1, 0, 0), -5): (4, 751)
(8, 1, 2, (1, 0, 0), -4): (30, 982)
(8, 1, 2, (1, 0, 0), -3): (51, 1320)
(8, 1, 2, (1, 0, 0), -2): (168, 1704)
(8, 1, 2, (1, 0, 0), -1): (409, 1834)
(8, 1, 2, (1, 0, 0), 0): (1116, 1946)
(8, 1, 2, (1, 0, 0), 1): (1491, 1695)
(8, 1, 2, (1, 0, 0), 2): (1503, 1573)
(8, 1, 2, (1, 0, 0), 3): (1312, 1338)
(8, 1, 2, (1, 0, 0), 4): (1053, 1063)
(8, 1, 2, (1, 0, 0), 5): (868, 870)
(8, 1, 2, (1, 0, 0), 6): (626, 626)
(8, 1, 2, (1, 0, 0), 7): (381, 381)
(8, 1, 2, (1, 0, 0), 8): (316, 317)
(8, 1, 2, (1, 0, 0), 9): (202, 202)
(8, 1, 2, (1, 0, 0), 10): (136, 136)
(8, 1, 2, (1, 0, 0), 11): (91, 91)
(8, 1, 2, (1, 0, 0), 12): (47, 47)
(8, 1, 2, (1, 0, 0), 13): (30, 30)
(8, 1, 2, (1, 0, 0), 14): (21, 21)
(8, 1, 2, (1, 0, 0), 15): (15, 15)
(8, 1, 2, (1, 0, 0), 16): (3, 3)
(8, 1, 2, (1, 0, 0), 17): (3, 3)
(8, 1, 2, (1, 0, 0), 18): (1, 1)
(8, 1, 2, (1, 0, 0), 19): (1, 1)
(8, 1, 2, (1, 0, 0), 21): (1, 1)
(8, 1, 2, (1, 0, 0), 22): (1, 1)
(8, 1, 2, (1, 0, 1), -15): (0, 3)
(8, 1, 2, (1, 0, 1), -14): (0, 3)
(8, 1, 2, (1, 0, 1), -13): (0, 7)
(8, 1, 2, (1, 0, 1), -12): (0, 6)
(8, 1, 2, (1, 0, 1), -11): (0, 8)
(8, 1, 2, (1, 0, 1), -10): (0, 19)
(8, 1, 2, (1, 0, 1), -9): (0, 14)
(8, 1, 2, (1, 0, 1), -8): (0, 25)
(8, 1, 2, (1, 0, 1), -7): (0, 46)
(8, 1, 2, (1, 0, 1), -6): (0, 90)
(8, 1, 2, (1, 0, 1), -5): (3, 128)
(8, 1, 2, (1, 0, 1), -4): (8, 189)
(8, 1, 2, (1, 0, 1), -3): (23, 252)
(8, 1, 2, (1, 0, 1), -2): (38, 291)
(8, 1, 2, (1, 0, 1), -1): (131, 432)
(8, 1, 2, (1, 0, 1), 0): (331, 523)
(8, 1, 2, (1, 0, 1), 1): (414, 471)
(8, 1, 2, (1, 0, 1), 2): (412, 431)
(8, 1, 2, (1, 0, 1), 3): (342, 349)
(8, 1, 2, (1, 0, 1), 4): (270, 273)
(8, 1, 2, (1, 0, 1), 5): (220, 220)
(8, 1, 2, (1, 0, 1), 6): (163, 164)
(8, 1, 2, (1, 0, 1), 7): (113, 113)
(8, 1, 2, (1, 0, 1), 8): (62, 62)
(8, 1, 2, (1, 0, 1), 9): (50, 50)
(8, 1, 2, (1, 0, 1), 10): (33, 33)
(8, 1, 2, (1, 0, 1), 11): (21, 21)
(8, 1, 2, (1, 0, 1), 12): (19, 19)
(8, 1, 2, (1, 0, 1), 13): (8, 8)
(8, 1, 2, (1, 0, 1), 15): (3, 3)
(8, 1, 2, (1, 0, 1), 16): (1, 1)
(8, 1, 2, (1, 0, 1), 22): (1, 1)
(8, 1, 2, (1, 1, 0), -18): (0, 1)
(8, 1, 2, (1, 1, 0), -16): (0, 1)
(8, 1, 2, (1, 1, 0), -14): (0, 7)
(8, 1, 2, (1, 1, 0), -13): (0, 5)
(8, 1, 2, (1, 1, 0), -12): (0, 15)
(8, 1, 2, (1, 1, 0), -11): (0, 13)
(8, 1, 2, (1, 1, 0), -10): (0, 32)
(8, 1, 2, (1, 1, 0), -9): (0, 63)
(8, 1, 2, (1, 1, 0), -8): (0, 80)
(8, 1, 2, (1, 1, 0), -7): (0, 133)
(8, 1, 2, (1, 1, 0), -6): (1, 194)
(8, 1, 2, (1, 1, 0), -5): (5, 262)
(8, 1, 2, (1, 1, 0), -4): (25, 447)
(8, 1, 2, (1, 1, 0), -3): (33, 563)
(8, 1, 2, (1, 1, 0), -2): (101, 711)
(8, 1, 2, (1, 1, 0), -1): (229, 808)
(8, 1, 2, (1, 1, 0), 0): (736, 1175)
(8, 1, 2, (1, 1, 0), 1): (947, 1056)
(8, 1, 2, (1, 1, 0), 2): (843, 883)
(8, 1, 2, (1, 1, 0), 3): (768, 778)
(8, 1, 2, (1, 1, 0), 4): (593, 595)
(8, 1, 2, (1, 1, 0), 5): (445, 445)
(8, 1, 2, (1, 1, 0), 6): (347, 347)
(8, 1, 2, (1, 1, 0), 7): (236, 236)
(8, 1, 2, (1, 1, 0), 8): (146, 146)
(8, 1, 2, (1, 1, 0), 9): (106, 106)
(8, 1, 2, (1, 1, 0), 10): (75, 75)
(8, 1, 2, (1, 1, 0), 11): (52, 52)
(8, 1, 2, (1, 1, 0), 12): (27, 27)
(8, 1, 2, (1, 1, 0), 13): (18, 18)
(8, 1, 2, (1, 1, 0), 14): (5, 5)
(8, 1, 2, (1, 1, 0), 15): (7, 7)
(8, 1, 2, (1, 1, 0), 16): (1, 1)
(8, 1, 2, (1, 1, 0), 17): (2, 2)
(8, 1, 2, (1, 1, 0), 18): (1, 1)
(8, 1, 2, (1, 1, 1), -16): (0, 1)
(8, 1, 2, (1, 1, 1), -14): (0, 4)
(8, 1, 2, (1, 1, 1), -13): (0, 3)
(8, 1, 2, (1, 1, 1), -12): (0, 2)
(8, 1, 2, (1, 1, 1), -11): (0, 3)
(8, 1, 2, (1, 1, 1), -10): (0, 11)
(8, 1, 2, (1, 1, 1), -9): (0, 16)
(8, 1, 2, (1, 1, 1), -8): (0, 29)
(8, 1, 2, (1, 1, 1), -7): (1, 40)
(8, 1, 2, (1, 1, 1), -6): (0, 49)
(8, 1, 2, (1, 1, 1), -5): (2, 77)
(8, 1, 2, (1, 1, 1), -4): (11, 125)
(8, 1, 2, (1, 1, 1), -3): (19, 147)
(8, 1, 2, (1, 1, 1), -2): (45, 212)
(8, 1, 2, (1, 1, 1), -1): (125, 316)
(8, 1, 2, (1, 1, 1), 0): (313, 472)
(8, 1, 2, (1, 1, 1), 1): (414, 446)
(8, 1, 2, (1, 1, 1), 2): (381, 403)
(8, 1, 2, (1, 1, 1), 3): (275, 279)
(8, 1, 2, (1, 1, 1), 4): (232, 232)
(8, 1, 2, (1, 1, 1), 5): (171, 171)
(8, 1, 2, (1, 1, 1), 6): (108, 108)
(8, 1, 2, (1, 1, 1), 7): (70, 70)
(8, 1, 2, (1, 1, 1), 8): (41, 41)
(8, 1, 2, (1, 1, 1), 9): (30, 30)
(8, 1, 2, (1, 1, 1), 10): (27, 27)
(8, 1, 2, (1, 1, 1), 11): (22, 22)
(8, 1, 2, (1, 1, 1), 12): (6, 6)
(8, 1, 2, (1, 1, 1), 13): (6, 6)
(8, 1, 2, (1, 1, 1), 14): (3, 3)
(8, 1, 2, (1, 1, 1), 15): (2, 2)
(8, 1, 2, (1, 1, 1), 16): (1, 1)
(8, 1, 2, (1, 1, 1), 17): (1, 1)
(8, 1, 2, (1, 1, 1), 18): (2, 2)
(8, 1, 2, (1, 1, 1), 19): (1, 1)
(9, 0, 0, (0, 0, 0), -22): (0, 2)
(9, 0, 0, (0, 0, 0), -21): (0, 1)
(9, 0, 0, (0, 0, 0), -19): (0, 6)
(9, 0, 0, (0, 0, 0), -18): (0, 3)
(9, 0, 0, (0, 0, 0), -17): (0, 9)
(9, 0, 0, (0, 0, 0), -16): (0, 19)
(9, 0, 0, (0, 0, 0), -15): (0, 33)
(9, 0, 0, (0, 0, 0), -14): (0, 57)
(9, 0, 0, (0, 0, 0), -13): (0, 90)
(9, 0, 0, (0, 0, 0), -12): (0, 171)
(9, 0, 0, (0, 0, 0), -11): (0, 262)
(9, 0, 0, (0, 0, 0), -10): (0, 412)
(9, 0, 0, (0, 0, 0), -9): (0, 657)
(9, 0, 0, (0, 0, 0), -8): (1, 912)
(9, 0, 0, (0, 0, 0), -7): (0, 1266)
(9, 0, 0, (0, 0, 0), -6): (2, 1967)
(9, 0, 0, (0, 0, 0), -5): (8, 2742)
(9, 0, 0, (0, 0, 0), -4): (43, 3717)
(9, 0, 0, (0, 0, 0), -3): (98, 4685)
(9, 0, 0, (0, 0, 0), -2): (311, 5544)
(9, 0, 0, (0, 0, 0), -1): (831, 6316)
(9, 0, 0, (0, 0, 0), 0): (3081, 6377)
(9, 0, 0, (0, 0, 0), 1): (5101, 5998)
(9, 0, 0, (0, 0, 0), 2): (4814, 5153)
(9, 0, 0, (0, 0, 0), 3): (4090, 4198)
(9, 0, 0, (0, 0, 0), 4): (2992, 3037)
(9, 0, 0, (0, 0, 0), 5): (2178, 2190)
(9, 0, 0, (0, 0, 0), 6): (1514, 1514)
(9, 0, 0, (0, 0, 0), 7): (1038, 1039)
(9, 0, 0, (0, 0, 0), 8): (667, 667)
(9, 0, 0, (0, 0, 0), 9): (422, 422)
(9, 0, 0, (0, 0, 0), 10): (279, 279)
(9, 0, 0, (0, 0, 0), 11): (171, 171)
(9, 0, 0, (0, 0, 0), 12): (96, 96)
(9, 0, 0, (0, 0, 0), 13): (60, 60)
(9, 0, 0, (0, 0, 0), 14): (35, 35)
(9, 0, 0, (0, 0, 0), 15): (14, 14)
(9, 0, 0, (0, 0, 0), 16): (12, 12)
(9, 0, 0, (0, 0, 0), 17): (4, 4)
(9, 0, 0, (0, 0, 0), 18): (4, 4)
(9, 0, 0, (0, 0, 0), 20): (1, 1)
(9, 0, 0, (0, 0, 0), 21): (1, 1)
(9, 0, 0, (0, 0, 0), 22): (3, 3)
(9, 0, 0, (0, 0, 1), -14): (0, 2)
(9, 0, 0, (0, 0, 1), -13): (0, 1)
(9, 0, 0, (0, 0, 1), -12): (0, 1)
(9, 0, 0, (0, 0, 1), -11): (0, 4)
(9, 0, 0, (0, 0, 1), -10): (0, 3)
(9, 0, 0, (0, 0, 1), -9): (0, 6)
(9, 0, 0, (0, 0, 1), -8): (0, 8)
(9, 0, 0, (0, 0, 1), -7): (0, 9)
(9, 0, 0, (0, 0, 1), -6): (0, 20)
(9, 0, 0, (0, 0, 1), -5): (0, 19)
(9, 0, 0, (0, 0, 1), -4): (1, 23)
(9, 0, 0, (0, 0, 1), -3): (3, 33)
(9, 0, 0, (0, 0, 1), -2): (5, 48)
(9, 0, 0, (0, 0, 1), -1): (17, 55)
(9, 0, 0, (0, 0, 1), 0): (51, 70)
(9, 0, 0, (0, 0, 1), 1): (65, 68)
(9, 0, 0, (0, 0, 1), 2): (95, 98)
(9, 0, 0, (0, 0, 1), 3): (63, 65)
(9, 0, 0, (0, 0, 1), 4): (44, 45)
(9, 0, 0, (0, 0, 1), 5): (31, 31)
(9, 0, 0, (0, 0, 1), 6): (21, 21)
(9, 0, 0, (0, 0, 1), 7): (13, 13)
(9, 0, 0, (0, 0, 1), 8): (9, 9)
(9, 0, 0, (0, 0, 1), 9): (6, 6)
(9, 0, 0, (0, 0, 1), 10): (7, 7)
(9, 0, 0, (0, 0, 1), 12): (2, 2)
(9, 0, 0, (0, 0, 1), 13): (1, 1)
(9, 0, 0, (0, 0, 1), 14): (1, 1)
(9, 0, 0, (0, 0, 1), 15): (1, 1)
(9, 0, 0, (0, 1, 0), -16): (0, 1)
(9, 0, 0, (0, 1, 0), -15): (0, 2)
(9, 0, 0, (0, 1, 0), -14): (0, 3)
(9, 0, 0, (0, 1, 0), -13): (0, 7)
(9, 0, 0, (0, 1, 0), -12): (0, 11)
(9, 0, 0, (0, 1, 0), -11): (0, 21)
(9, 0, 0, (0, 1, 0), -10): (0, 21)
(9, 0, 0, (0, 1, 0), -9): (0, 49)
(9, 0, 0, (0, 1, 0), -8): (0, 60)
(9, 0, 0, (0, 1, 0), -7): (0, 72)
(9, 0, 0, (0, 1, 0), -6): (0, 112)
(9, 0, 0, (0, 1, 0), -5): (1, 147)
(9, 0, 0, (0, 1, 0), -4): (6, 229)
(9, 0, 0, (0, 1, 0), -3): (14, 275)
(9, 0, 0, (0, 1, 0), -2): (53, 329)
(9, 0, 0, (0, 1, 0), -1): (109, 355)
(9, 0, 0, (0, 1, 0), 0): (274, 422)
(9, 0, 0, (0, 1, 0), 1): (381, 415)
(9, 0, 0, (0, 1, 0), 2): (403, 418)
(9, 0, 0, (0, 1, 0), 3): (326, 328)
(9, 0, 0, (0, 1, 0), 4): (260, 263)
(9, 0, 0, (0, 1, 0), 5): (169, 170)
(9, 0, 0, (0, 1, 0), 6): (104, 104)
(9, 0, 0, (0, 1, 0), 7): (73, 73)
(9, 0, 0, (0, 1, 0), 8): (48, 48)
(9, 0, 0, (0, 1, 0), 9): (28, 28)
(9, 0, 0, (0, 1, 0), 10): (15, 15)
(9, 0, 0, (0, 1, 0), 11): (18, 18)
(9, 0, 0, (0, 1, 0), 12): (8, 8)
(9, 0, 0, (0, 1, 0), 13): (4, 4)
(9, 0, 0, (0, 1, 0), 14): (4, 4)
(9, 0, 0, (0, 1, 0), 15): (4, 4)
(9, 0, 0, (0, 1, 1), -14): (0, 1)
(9, 0, 0, (0, 1, 1), -13): (0, 1)
(9, 0, 0, (0, 1, 1), -11): (0, 3)
(9, 0, 0, (0, 1, 1), -10): (0, 6)
(9, 0, 0, (0, 1, 1), -9): (0, 9)
(9, 0, 0, (0, 1, 1), -8): (0, 13)
(9, 0, 0, (0, 1, 1), -7): (0, 17)
(9, 0, 0, (0, 1, 1), -6): (0, 20)
(9, 0, 0, (0, 1, 1), -5): (0, 32)
(9, 0, 0, (0, 1, 1), -4): (2, 49)
(9, 0, 0, (0, 1, 1), -3): (5, 56)
(9, 0, 0, (0, 1, 1), -2): (12, 54)
(9, 0, 0, (0, 1, 1), -1): (30, 58)
(9, 0, 0, (0, 1, 1), 0): (57, 78)
(9, 0, 0, (0, 1, 1), 1): (60, 66)
(9, 0, 0, (0, 1, 1), 2): (68, 70)
(9, 0, 0, (0, 1, 1), 3): (54, 55)
(9, 0, 0, (0, 1, 1), 4): (42, 42)
(9, 0, 0, (0, 1, 1), 5): (35, 36)
(9, 0, 0, (0, 1, 1), 6): (22, 22)
(9, 0, 0, (0, 1, 1), 7): (16, 16)
(9, 0, 0, (0, 1, 1), 8): (9, 9)
(9, 0, 0, (0, 1, 1), 9): (9, 9)
(9, 0, 0, (0, 1, 1), 10): (5, 5)
(9, 0, 0, (0, 1, 1), 11): (5, 5)
(9, 0, 0, (0, 1, 1), 12): (1, 1)
(9, 0, 0, (0, 1, 1), 17): (2, 2)
(9, 0, 0, (1, 0, 0), -22): (0, 1)
(9, 0, 0, (1, 0, 0), -19): (0, 2)
(9, 0, 0, (1, 0, 0), -16): (0, 5)
(9, 0, 0, (1, 0, 0), -15): (0, 8)
(9, 0, 0, (1, 0, 0), -14): (0, 12)
(9, 0, 0, (1, 0, 0), -13): (0, 18)
(9, 0, 0, (1, 0, 0), -12): (0, 39)
(9, 0, 0, (1, 0, 0), -11): (0, 51)
(9, 0, 0, (1, 0, 0), -10): (0, 109)
(9, 0, 0, (1, 0, 0), -9): (0, 161)
(9, 0, 0, (1, 0, 0), -8): (1, 218)
(9, 0, 0, (1, 0, 0), -7): (0, 292)
(9, 0, 0, (1, 0, 0), -6): (2, 503)
(9, 0, 0, (1, 0, 0), -5): (4, 683)
(9, 0, 0, (1, 0, 0), -4): (30, 911)
(9, 0, 0, (1, 0, 0), -3): (60, 1130)
(9, 0, 0, (1, 0, 0), -2): (169, 1389)
(9, 0, 0, (1, 0, 0), -1): (383, 1595)
(9, 0, 0, (1, 0, 0), 0): (973, 1737)
(9, 0, 0, (1, 0, 0), 1): (1315, 1519)
(9, 0, 0, (1, 0, 0), 2): (1166, 1225)
(9, 0, 0, (1, 0, 0), 3): (1050, 1070)
(9, 0, 0, (1, 0, 0), 4): (780, 789)
(9, 0, 0, (1, 0, 0), 5): (583, 585)
(9, 0, 0, (1, 0, 0), 6): (386, 386)
(9, 0, 0, (1, 0, 0), 7): (273, 273)
(9, 0, 0, (1, 0, 0), 8): (175, 175)
(9, 0, 0, (1, 0, 0), 9): (100, 100)
(9, 0, 0, (1, 0, 0), 10): (80, 80)
(9, 0, 0, (1, 0, 0), 11): (48, 48)
(9, 0, 0, (1, 0, 0), 12): (27, 27)
(9, 0, 0, (1, 0, 0), 13): (16, 16)
(9, 0, 0, (1, 0, 0), 14): (5, 5)
(9, 0, 0, (1, 0, 0), 15): (2, 2)
(9, 0, 0, (1, 0, 0), 16): (4, 4)
(9, 0, 0, (1, 0, 0), 17): (1, 1)
(9, 0, 0, (1, 0, 0), 22): (1, 1)
(9, 0, 0, (1, 0, 1), -14): (0, 1)
(9, 0, 0, (1, 0, 1), -13): (0, 2)
(9, 0, 0, (1, 0, 1), -12): (0, 1)
(9, 0, 0, (1, 0, 1), -11): (0, 6)
(9, 0, 0, (1, 0, 1), -10): (0, 4)
(9, 0, 0, (1, 0, 1), -9): (0, 8)
(9, 0, 0, (1, 0, 1), -8): (1, 15)
(9, 0, 0, (1, 0, 1), -7): (1, 17)
(9, 0, 0, (1, 0, 1), -6): (0, 28)
(9, 0, 0, (1, 0, 1), -5): (0, 39)
(9, 0, 0, (1, 0, 1), -4): (7, 48)
(9, 0, 0, (1, 0, 1), -3): (5, 71)
(9, 0, 0, (1, 0, 1), -2): (30, 108)
(9, 0, 0, (1, 0, 1), -1): (67, 126)
(9, 0, 0, (1, 0, 1), 0): (104, 136)
(9, 0, 0, (1, 0, 1), 1): (135, 152)
(9, 0, 0, (1, 0, 1), 2): (106, 110)
(9, 0, 0, (1, 0, 1), 3): (89, 91)
(9, 0, 0, (1, 0, 1), 4): (69, 69)
(9, 0, 0, (1, 0, 1), 5): (51, 51)
(9, 0, 0, (1, 0, 1), 6): (44, 44)
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(9, 1, 0, (0, 0, 1), -9): (0, 6)
(9, 1, 0, (0, 0, 1), -8): (0, 6)
(9, 1, 0, (0, 0, 1), -7): (0, 11)
(9, 1, 0, (0, 0, 1), -6): (0, 15)
(9, 1, 0, (0, 0, 1), -5): (1, 37)
(9, 1, 0, (0, 0, 1), -4): (4, 46)
(9, 1, 0, (0, 0, 1), -3): (2, 37)
(9, 1, 0, (0, 0, 1), -2): (10, 47)
(9, 1, 0, (0, 0, 1), -1): (26, 56)
(9, 1, 0, (0, 0, 1), 0): (66, 75)
(9, 1, 0, (0, 0, 1), 1): (6, 6)
(9, 1, 0, (0, 1, 0), -20): (0, 1)
(9, 1, 0, (0, 1, 0), -19): (0, 1)
(9, 1, 0, (0, 1, 0), -17): (0, 2)
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(9, 1, 0, (0, 1, 0), -14): (0, 5)
(9, 1, 0, (0, 1, 0), -13): (0, 4)
(9, 1, 0, (0, 1, 0), -12): (0, 3)
(9, 1, 0, (0, 1, 0), -11): (0, 18)
(9, 1, 0, (0, 1, 0), -10): (0, 27)
(9, 1, 0, (0, 1, 0), -9): (0, 30)
(9, 1, 0, (0, 1, 0), -8): (0, 52)
(9, 1, 0, (0, 1, 0), -7): (0, 89)
(9, 1, 0, (0, 1, 0), -6): (0, 109)
(9, 1, 0, (0, 1, 0), -5): (4, 146)
(9, 1, 0, (0, 1, 0), -4): (10, 217)
(9, 1, 0, (0, 1, 0), -3): (14, 239)
(9, 1, 0, (0, 1, 0), -2): (46, 300)
(9, 1, 0, (0, 1, 0), -1): (136, 335)
(9, 1, 0, (0, 1, 0), 0): (330, 409)
(9, 1, 0, (0, 1, 0), 1): (18, 18)
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(9, 1, 0, (0, 1, 1), -15): (0, 1)
(9, 1, 0, (0, 1, 1), -14): (0, 1)
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(9, 1, 0, (0, 1, 1), -10): (0, 8)
(9, 1, 0, (0, 1, 1), -9): (0, 4)
(9, 1, 0, (0, 1, 1), -8): (0, 8)
(9, 1, 0, (0, 1, 1), -7): (0, 12)
(9, 1, 0, (0, 1, 1), -6): (1, 18)
(9, 1, 0, (0, 1, 1), -5): (0, 37)
(9, 1, 0, (0, 1, 1), -4): (2, 34)
(9, 1, 0, (0, 1, 1), -3): (9, 54)
(9, 1, 0, (0, 1, 1), -2): (22, 48)
(9, 1, 0, (0, 1, 1), -1): (39, 60)
(9, 1, 0, (0, 1, 1), 0): (55, 58)
(9, 1, 0, (0, 1, 1), 1): (10, 10)
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(9, 1, 0, (1, 0, 0), -13): (0, 21)
(9, 1, 0, (1, 0, 0), -12): (0, 44)
(9, 1, 0, (1, 0, 0), -11): (0, 69)
(9, 1, 0, (1, 0, 0), -10): (0, 92)
(9, 1, 0, (1, 0, 0), -9): (0, 121)
(9, 1, 0, (1, 0, 0), -8): (0, 229)
(9, 1, 0, (1, 0, 0), -7): (2, 346)
(9, 1, 0, (1, 0, 0), -6): (1, 426)
(9, 1, 0, (1, 0, 0), -5): (12, 660)
(9, 1, 0, (1, 0, 0), -4): (28, 864)
(9, 1, 0, (1, 0, 0), -3): (99, 1108)
(9, 1, 0, (1, 0, 0), -2): (208, 1384)
(9, 1, 0, (1, 0, 0), -1): (504, 1629)
(9, 1, 0, (1, 0, 0), 0): (1193, 1664)
(9, 1, 0, (1, 0, 0), 1): (48, 48)
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(9, 1, 0, (1, 0, 1), -12): (0, 4)
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(9, 1, 0, (1, 0, 1), -9): (0, 9)
(9, 1, 0, (1, 0, 1), -8): (0, 13)
(9, 1, 0, (1, 0, 1), -7): (0, 20)
(9, 1, 0, (1, 0, 1), -6): (0, 15)
(9, 1, 0, (1, 0, 1), -5): (0, 40)
(9, 1, 0, (1, 0, 1), -4): (3, 53)
(9, 1, 0, (1, 0, 1), -3): (12, 74)
(9, 1, 0, (1, 0, 1), -2): (28, 114)
(9, 1, 0, (1, 0, 1), -1): (71, 110)
(9, 1, 0, (1, 0, 1), 0): (143, 157)
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(9, 1, 0, (1, 1, 0), -11): (0, 15)
(9, 1, 0, (1, 1, 0), -10): (0, 31)
(9, 1, 0, (1, 1, 0), -9): (0, 45)
(9, 1, 0, (1, 1, 0), -8): (0, 48)
(9, 1, 0, (1, 1, 0), -7): (1, 84)
(9, 1, 0, (1, 1, 0), -6): (0, 110)
(9, 1, 0, (1, 1, 0), -5): (8, 181)
(9, 1, 0, (1, 1, 0), -4): (17, 205)
(9, 1, 0, (1, 1, 0), -3): (54, 281)
(9, 1, 0, (1, 1, 0), -2): (108, 366)
(9, 1, 0, (1, 1, 0), -1): (129, 248)
(9, 1, 0, (1, 1, 0), 0): (257, 327)
(9, 1, 0, (1, 1, 0), 1): (53, 53)
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(9, 1, 0, (1, 1, 1), -9): (0, 7)
(9, 1, 0, (1, 1, 1), -8): (0, 12)
(9, 1, 0, (1, 1, 1), -7): (0, 12)
(9, 1, 0, (1, 1, 1), -6): (0, 20)
(9, 1, 0, (1, 1, 1), -5): (6, 43)
(9, 1, 0, (1, 1, 1), -4): (8, 39)
(9, 1, 0, (1, 1, 1), -3): (20, 66)
(9, 1, 0, (1, 1, 1), -2): (30, 64)
(9, 1, 0, (1, 1, 1), -1): (53, 83)
(9, 1, 0, (1, 1, 1), 0): (179, 199)
(9, 1, 0, (1, 1, 1), 1): (73, 73)
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(9, 1, 1, (0, 0, 0), -16): (0, 9)
(9, 1, 1, (0, 0, 0), -15): (0, 19)
(9, 1, 1, (0, 0, 0), -14): (0, 46)
(9, 1, 1, (0, 0, 0), -13): (0, 57)
(9, 1, 1, (0, 0, 0), -12): (0, 98)
(9, 1, 1, (0, 0, 0), -11): (0, 160)
(9, 1, 1, (0, 0, 0), -10): (0, 252)
(9, 1, 1, (0, 0, 0), -9): (0, 399)
(9, 1, 1, (0, 0, 0), -8): (0, 543)
(9, 1, 1, (0, 0, 0), -7): (0, 881)
(9, 1, 1, (0, 0, 0), -6): (1, 1251)
(9, 1, 1, (0, 0, 0), -5): (3, 1774)
(9, 1, 1, (0, 0, 0), -4): (15, 2445)
(9, 1, 1, (0, 0, 0), -3): (38, 3151)
(9, 1, 1, (0, 0, 0), -2): (153, 3723)
(9, 1, 1, (0, 0, 0), -1): (415, 4153)
(9, 1, 1, (0, 0, 0), 0): (2504, 4154)
(9, 1, 1, (0, 0, 0), 1): (163, 163)
(9, 1, 1, (0, 0, 0), 2): (76, 76)
(9, 1, 1, (0, 0, 0), 3): (29, 29)
(9, 1, 1, (0, 0, 0), 4): (7, 7)
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(9, 1, 1, (0, 0, 1), -8): (0, 16)
(9, 1, 1, (0, 0, 1), -7): (0, 26)
(9, 1, 1, (0, 0, 1), -6): (0, 51)
(9, 1, 1, (0, 0, 1), -5): (0, 62)
(9, 1, 1, (0, 0, 1), -4): (2, 87)
(9, 1, 1, (0, 0, 1), -3): (2, 120)
(9, 1, 1, (0, 0, 1), -2): (9, 118)
(9, 1, 1, (0, 0, 1), -1): (86, 226)
(9, 1, 1, (0, 0, 1), 0): (192, 229)
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(9, 1, 1, (0, 1, 0), -10): (0, 37)
(9, 1, 1, (0, 1, 0), -9): (0, 53)
(9, 1, 1, (0, 1, 0), -8): (0, 105)
(9, 1, 1, (0, 1, 0), -7): (0, 138)
(9, 1, 1, (0, 1, 0), -6): (0, 161)
(9, 1, 1, (0, 1, 0), -5): (1, 256)
(9, 1, 1, (0, 1, 0), -4): (4, 352)
(9, 1, 1, (0, 1, 0), -3): (17, 403)
(9, 1, 1, (0, 1, 0), -2): (49, 504)
(9, 1, 1, (0, 1, 0), -1): (262, 967)
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(9, 1, 1, (0, 1, 1), -6): (0, 34)
(9, 1, 1, (0, 1, 1), -5): (2, 64)
(9, 1, 1, (0, 1, 1), -4): (8, 116)
(9, 1, 1, (0, 1, 1), -3): (10, 103)
(9, 1, 1, (0, 1, 1), -2): (58, 192)
(9, 1, 1, (0, 1, 1), -1): (102, 188)
(9, 1, 1, (0, 1, 1), 0): (178, 219)
(9, 1, 1, (0, 1, 1), 1): (36, 36)
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(9, 1, 1, (1, 0, 0), -12): (0, 37)
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(9, 1, 1, (1, 0, 0), -10): (0, 104)
(9, 1, 1, (1, 0, 0), -9): (0, 151)
(9, 1, 1, (1, 0, 0), -8): (0, 247)
(9, 1, 1, (1, 0, 0), -7): (1, 419)
(9, 1, 1, (1, 0, 0), -6): (1, 517)
(9, 1, 1, (1, 0, 0), -5): (2, 763)
(9, 1, 1, (1, 0, 0), -4): (15, 1051)
(9, 1, 1, (1, 0, 0), -3): (44, 1414)
(9, 1, 1, (1, 0, 0), -2): (148, 1640)
(9, 1, 1, (1, 0, 0), -1): (334, 1638)
(9, 1, 1, (1, 0, 0), 0): (1182, 1751)
(9, 1, 1, (1, 0, 0), 1): (125, 125)
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(9, 1, 1, (1, 0, 1), -8): (0, 29)
(9, 1, 1, (1, 0, 1), -7): (0, 53)
(9, 1, 1, (1, 0, 1), -6): (0, 70)
(9, 1, 1, (1, 0, 1), -5): (0, 97)
(9, 1, 1, (1, 0, 1), -4): (1, 134)
(9, 1, 1, (1, 0, 1), -3): (19, 173)
(9, 1, 1, (1, 0, 1), -2): (31, 202)
(9, 1, 1, (1, 0, 1), -1): (132, 287)
(9, 1, 1, (1, 0, 1), 0): (318, 374)
(9, 1, 1, (1, 0, 1), 1): (27, 27)
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(9, 1, 1, (1, 1, 0), -11): (0, 26)
(9, 1, 1, (1, 1, 0), -10): (0, 37)
(9, 1, 1, (1, 1, 0), -9): (0, 59)
(9, 1, 1, (1, 1, 0), -8): (0, 84)
(9, 1, 1, (1, 1, 0), -7): (1, 163)
(9, 1, 1, (1, 1, 0), -6): (0, 199)
(9, 1, 1, (1, 1, 0), -5): (0, 285)
(9, 1, 1, (1, 1, 0), -4): (9, 372)
(9, 1, 1, (1, 1, 0), -3): (45, 468)
(9, 1, 1, (1, 1, 0), -2): (110, 605)
(9, 1, 1, (1, 1, 0), -1): (210, 564)
(9, 1, 1, (1, 1, 0), 0): (774, 1057)
(9, 1, 1, (1, 1, 0), 1): (245, 245)
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(9, 1, 1, (1, 1, 1), -9): (0, 22)
(9, 1, 1, (1, 1, 1), -8): (0, 21)
(9, 1, 1, (1, 1, 1), -7): (1, 26)
(9, 1, 1, (1, 1, 1), -6): (0, 41)
(9, 1, 1, (1, 1, 1), -5): (2, 66)
(9, 1, 1, (1, 1, 1), -4): (9, 91)
(9, 1, 1, (1, 1, 1), -3): (19, 124)
(9, 1, 1, (1, 1, 1), -2): (49, 150)
(9, 1, 1, (1, 1, 1), -1): (129, 254)
(9, 1, 1, (1, 1, 1), 0): (489, 577)
(9, 1, 1, (1, 1, 1), 1): (224, 224)
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(9, 1, 2, (0, 0, 0), -13): (0, 39)
(9, 1, 2, (0, 0, 0), -12): (0, 81)
(9, 1, 2, (0, 0, 0), -11): (0, 126)
(9, 1, 2, (0, 0, 0), -10): (0, 187)
(9, 1, 2, (0, 0, 0), -9): (0, 302)
(9, 1, 2, (0, 0, 0), -8): (0, 413)
(9, 1, 2, (0, 0, 0), -7): (0, 655)
(9, 1, 2, (0, 0, 0), -6): (1, 976)
(9, 1, 2, (0, 0, 0), -5): (1, 1324)
(9, 1, 2, (0, 0, 0), -4): (3, 1844)
(9, 1, 2, (0, 0, 0), -3): (14, 2367)
(9, 1, 2, (0, 0, 0), -2): (37, 2839)
(9, 1, 2, (0, 0, 0), -1): (113, 3200)
(9, 1, 2, (0, 0, 0), 0): (1723, 3121)
(9, 1, 2, (0, 0, 0), 1): (153, 153)
(9, 1, 2, (0, 0, 0), 2): (69, 69)
(9, 1, 2, (0, 0, 0), 3): (25, 25)
(9, 1, 2, (0, 0, 0), 4): (14, 14)
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(9, 1, 2, (0, 0, 1), -11): (0, 14)
(9, 1, 2, (0, 0, 1), -10): (0, 14)
(9, 1, 2, (0, 0, 1), -9): (0, 18)
(9, 1, 2, (0, 0, 1), -8): (0, 35)
(9, 1, 2, (0, 0, 1), -7): (0, 56)
(9, 1, 2, (0, 0, 1), -6): (0, 71)
(9, 1, 2, (0, 0, 1), -5): (0, 104)
(9, 1, 2, (0, 0, 1), -4): (0, 162)
(9, 1, 2, (0, 0, 1), -3): (4, 205)
(9, 1, 2, (0, 0, 1), -2): (12, 203)
(9, 1, 2, (0, 0, 1), -1): (51, 368)
(9, 1, 2, (0, 0, 1), 0): (180, 277)
(9, 1, 2, (0, 0, 1), 1): (14, 14)
(9, 1, 2, (0, 1, 0), -22): (0, 1)
(9, 1, 2, (0, 1, 0), -17): (0, 1)
(9, 1, 2, (0, 1, 0), -16): (0, 1)
(9, 1, 2, (0, 1, 0), -15): (0, 5)
(9, 1, 2, (0, 1, 0), -14): (0, 4)
(9, 1, 2, (0, 1, 0), -13): (0, 10)
(9, 1, 2, (0, 1, 0), -12): (0, 9)
(9, 1, 2, (0, 1, 0), -11): (0, 32)
(9, 1, 2, (0, 1, 0), -10): (0, 44)
(9, 1, 2, (0, 1, 0), -9): (0, 60)
(9, 1, 2, (0, 1, 0), -8): (0, 108)
(9, 1, 2, (0, 1, 0), -7): (0, 168)
(9, 1, 2, (0, 1, 0), -6): (1, 223)
(9, 1, 2, (0, 1, 0), -5): (0, 319)
(9, 1, 2, (0, 1, 0), -4): (2, 451)
(9, 1, 2, (0, 1, 0), -3): (9, 568)
(9, 1, 2, (0, 1, 0), -2): (27, 709)
(9, 1, 2, (0, 1, 0), -1): (102, 891)
(9, 1, 2, (0, 1, 0), 0): (581, 963)
(9, 1, 2, (0, 1, 0), 1): (93, 93)
(9, 1, 2, (0, 1, 1), -16): (0, 1)
(9, 1, 2, (0, 1, 1), -15): (0, 1)
(9, 1, 2, (0, 1, 1), -13): (0, 5)
(9, 1, 2, (0, 1, 1), -12): (0, 7)
(9, 1, 2, (0, 1, 1), -11): (0, 3)
(9, 1, 2, (0, 1, 1), -10): (0, 8)
(9, 1, 2, (0, 1, 1), -9): (0, 13)
(9, 1, 2, (0, 1, 1), -8): (0, 16)
(9, 1, 2, (0, 1, 1), -7): (0, 44)
(9, 1, 2, (0, 1, 1), -6): (0, 55)
(9, 1, 2, (0, 1, 1), -5): (1, 83)
(9, 1, 2, (0, 1, 1), -4): (0, 115)
(9, 1, 2, (0, 1, 1), -3): (7, 160)
(9, 1, 2, (0, 1, 1), -2): (29, 170)
(9, 1, 2, (0, 1, 1), -1): (28, 158)
(9, 1, 2, (0, 1, 1), 0): (190, 300)
(9, 1, 2, (0, 1, 1), 1): (32, 32)
(9, 1, 2, (1, 0, 0), -20): (0, 2)
(9, 1, 2, (1, 0, 0), -19): (0, 1)
(9, 1, 2, (1, 0, 0), -18): (0, 1)
(9, 1, 2, (1, 0, 0), -17): (0, 2)
(9, 1, 2, (1, 0, 0), -16): (0, 4)
(9, 1, 2, (1, 0, 0), -15): (0, 10)
(9, 1, 2, (1, 0, 0), -14): (0, 17)
(9, 1, 2, (1, 0, 0), -13): (0, 22)
(9, 1, 2, (1, 0, 0), -12): (0, 39)
(9, 1, 2, (1, 0, 0), -11): (0, 74)
(9, 1, 2, (1, 0, 0), -10): (0, 107)
(9, 1, 2, (1, 0, 0), -9): (0, 147)
(9, 1, 2, (1, 0, 0), -8): (0, 233)
(9, 1, 2, (1, 0, 0), -7): (0, 362)
(9, 1, 2, (1, 0, 0), -6): (1, 489)
(9, 1, 2, (1, 0, 0), -5): (2, 714)
(9, 1, 2, (1, 0, 0), -4): (5, 1007)
(9, 1, 2, (1, 0, 0), -3): (12, 1416)
(9, 1, 2, (1, 0, 0), -2): (64, 1618)
(9, 1, 2, (1, 0, 0), -1): (145, 1716)
(9, 1, 2, (1, 0, 0), 0): (939, 1634)
(9, 1, 2, (1, 0, 0), 1): (191, 191)
(9, 1, 2, (1, 0, 1), -22): (0, 1)
(9, 1, 2, (1, 0, 1), -18): (0, 1)
(9, 1, 2, (1, 0, 1), -14): (0, 2)
(9, 1, 2, (1, 0, 1), -13): (0, 2)
(9, 1, 2, (1, 0, 1), -12): (0, 8)
(9, 1, 2, (1, 0, 1), -11): (0, 17)
(9, 1, 2, (1, 0, 1), -10): (0, 14)
(9, 1, 2, (1, 0, 1), -9): (0, 26)
(9, 1, 2, (1, 0, 1), -8): (0, 36)
(9, 1, 2, (1, 0, 1), -7): (0, 56)
(9, 1, 2, (1, 0, 1), -6): (0, 98)
(9, 1, 2, (1, 0, 1), -5): (0, 129)
(9, 1, 2, (1, 0, 1), -4): (2, 176)
(9, 1, 2, (1, 0, 1), -3): (13, 228)
(9, 1, 2, (1, 0, 1), -2): (23, 292)
(9, 1, 2, (1, 0, 1), -1): (64, 362)
(9, 1, 2, (1, 0, 1), 0): (327, 486)
(9, 1, 2, (1, 0, 1), 1): (61, 61)
(9, 1, 2, (1, 1, 0), -20): (0, 1)
(9, 1, 2, (1, 1, 0), -19): (0, 1)
(9, 1, 2, (1, 1, 0), -16): (0, 2)
(9, 1, 2, (1, 1, 0), -15): (0, 5)
(9, 1, 2, (1, 1, 0), -14): (0, 8)
(9, 1, 2, (1, 1, 0), -13): (0, 13)
(9, 1, 2, (1, 1, 0), -12): (0, 17)
(9, 1, 2, (1, 1, 0), -11): (0, 29)
(9, 1, 2, (1, 1, 0), -10): (0, 43)
(9, 1, 2, (1, 1, 0), -9): (0, 51)
(9, 1, 2, (1, 1, 0), -8): (0, 100)
(9, 1, 2, (1, 1, 0), -7): (0, 194)
(9, 1, 2, (1, 1, 0), -6): (1, 202)
(9, 1, 2, (1, 1, 0), -5): (1, 309)
(9, 1, 2, (1, 1, 0), -4): (5, 426)
(9, 1, 2, (1, 1, 0), -3): (26, 568)
(9, 1, 2, (1, 1, 0), -2): (66, 710)
(9, 1, 2, (1, 1, 0), -1): (122, 730)
(9, 1, 2, (1, 1, 0), 0): (750, 1176)
(9, 1, 2, (1, 1, 0), 1): (340, 340)
(9, 1, 2, (1, 1, 1), -19): (0, 1)
(9, 1, 2, (1, 1, 1), -18): (0, 1)
(9, 1, 2, (1, 1, 1), -14): (0, 1)
(9, 1, 2, (1, 1, 1), -13): (0, 2)
(9, 1, 2, (1, 1, 1), -12): (0, 5)
(9, 1, 2, (1, 1, 1), -11): (0, 6)
(9, 1, 2, (1, 1, 1), -10): (0, 9)
(9, 1, 2, (1, 1, 1), -9): (0, 14)
(9, 1, 2, (1, 1, 1), -8): (0, 23)
(9, 1, 2, (1, 1, 1), -7): (0, 32)
(9, 1, 2, (1, 1, 1), -6): (1, 58)
(9, 1, 2, (1, 1, 1), -5): (2, 89)
(9, 1, 2, (1, 1, 1), -4): (4, 113)
(9, 1, 2, (1, 1, 1), -3): (18, 173)
(9, 1, 2, (1, 1, 1), -2): (43, 200)
(9, 1, 2, (1, 1, 1), -1): (62, 257)
(9, 1, 2, (1, 1, 1), 0): (391, 580)
(9, 1, 2, (1, 1, 1), 1): (187, 187)
(10, 0, 0, (0, 0, 0), 0): (2625, 5494)
(10, 0, 0, (0, 0, 0), 1): (5549, 5577)
(10, 0, 0, (0, 0, 0), 2): (4809, 4811)
(10, 0, 0, (0, 0, 0), 3): (4035, 4035)
(10, 0, 0, (0, 0, 0), 4): (3111, 3111)
(10, 0, 0, (0, 0, 0), 5): (2205, 2205)
(10, 0, 0, (0, 0, 0), 6): (1554, 1554)
(10, 0, 0, (0, 0, 0), 7): (1108, 1108)
(10, 0, 0, (0, 0, 0), 8): (713, 713)
(10, 0, 0, (0, 0, 0), 9): (455, 455)
(10, 0, 0, (0, 0, 0), 10): (303, 303)
(10, 0, 0, (0, 0, 0), 11): (207, 207)
(10, 0, 0, (0, 0, 0), 12): (119, 119)
(10, 0, 0, (0, 0, 0), 13): (70, 70)
(10, 0, 0, (0, 0, 0), 14): (50, 50)
(10, 0, 0, (0, 0, 0), 15): (22, 22)
(10, 0, 0, (0, 0, 0), 16): (14, 14)
(10, 0, 0, (0, 0, 0), 17): (6, 6)
(10, 0, 0, (0, 0, 0), 18): (6, 6)
(10, 0, 0, (0, 0, 0), 19): (3, 3)
(10, 0, 0, (0, 0, 0), 20): (1, 1)
(10, 0, 0, (0, 0, 0), 21): (2, 2)
(10, 0, 0, (0, 0, 0), 22): (3, 3)
(10, 0, 0, (0, 0, 1), 0): (35, 49)
(10, 0, 0, (0, 0, 1), 1): (7, 7)
(10, 0, 0, (0, 0, 1), 2): (2, 2)
(10, 0, 0, (0, 1, 0), 0): (196, 307)
(10, 0, 0, (0, 1, 0), 1): (33, 36)
(10, 0, 0, (0, 1, 0), 2): (4, 4)
(10, 0, 0, (0, 1, 0), 3): (3, 3)
(10, 0, 0, (0, 1, 0), 4): (2, 2)
(10, 0, 0, (0, 1, 1), 0): (28, 33)
(10, 0, 0, (0, 1, 1), 1): (10, 11)
(10, 0, 0, (0, 1, 1), 2): (8, 8)
(10, 0, 0, (0, 1, 1), 3): (1, 1)
(10, 0, 0, (0, 1, 1), 5): (2, 2)
(10, 0, 0, (1, 0, 0), 0): (817, 1416)
(10, 0, 0, (1, 0, 0), 1): (35, 46)
(10, 0, 0, (1, 0, 0), 2): (5, 6)
(10, 0, 0, (1, 0, 0), 3): (3, 3)
(10, 0, 0, (1, 0, 0), 4): (2, 2)
(10, 0, 0, (1, 0, 1), 0): (78, 100)
(10, 0, 0, (1, 0, 1), 1): (21, 21)
(10, 0, 0, (1, 0, 1), 2): (4, 4)
(10, 0, 0, (1, 0, 1), 3): (2, 2)
(10, 0, 0, (1, 0, 1), 4): (1, 1)
(10, 0, 0, (1, 1, 0), 0): (146, 204)
(10, 0, 0, (1, 1, 0), 1): (20, 20)
(10, 0, 0, (1, 1, 0), 2): (4, 4)
(10, 0, 0, (1, 1, 0), 3): (3, 3)
(10, 0, 0, (1, 1, 0), 4): (1, 1)
(10, 0, 0, (1, 1, 1), 0): (42, 51)
(10, 0, 0, (1, 1, 1), 1): (16, 17)
(10, 0, 0, (1, 1, 1), 2): (6, 6)
(10, 0, 0, (1, 1, 1), 3): (2, 2)
(10, 0, 1, (0, 0, 0), 0): (1589, 3762)
(10, 0, 1, (0, 0, 0), 1): (139, 176)
(10, 0, 1, (0, 0, 0), 2): (64, 68)
(10, 0, 1, (0, 0, 0), 3): (28, 28)
(10, 0, 1, (0, 0, 0), 4): (12, 12)
(10, 0, 1, (0, 0, 0), 5): (2, 2)
(10, 0, 1, (0, 0, 0), 6): (3, 3)
(10, 0, 1, (0, 0, 0), 7): (1, 1)
(10, 0, 1, (0, 0, 0), 8): (1, 1)
(10, 0, 1, (0, 0, 1), 0): (101, 152)
(10, 0, 1, (0, 0, 1), 1): (39, 43)
(10, 0, 1, (0, 0, 1), 2): (18, 19)
(10, 0, 1, (0, 0, 1), 3): (8, 8)
(10, 0, 1, (0, 0, 1), 4): (3, 3)
(10, 0, 1, (0, 0, 1), 5): (1, 1)
(10, 0, 1, (0, 1, 0), 0): (473, 853)
(10, 0, 1, (0, 1, 0), 1): (108, 128)
(10, 0, 1, (0, 1, 0), 2): (34, 38)
(10, 0, 1, (0, 1, 0), 3): (12, 12)
(10, 0, 1, (0, 1, 0), 4): (7, 7)
(10, 0, 1, (0, 1, 0), 5): (2, 2)
(10, 0, 1, (0, 1, 0), 6): (2, 2)
(10, 0, 1, (0, 1, 1), 0): (76, 115)
(10, 0, 1, (0, 1, 1), 1): (53, 59)
(10, 0, 1, (0, 1, 1), 2): (23, 24)
(10, 0, 1, (0, 1, 1), 3): (9, 9)
(10, 0, 1, (0, 1, 1), 4): (3, 3)
(10, 0, 1, (0, 1, 1), 5): (3, 3)
(10, 0, 1, (0, 1, 1), 6): (1, 1)
(10, 0, 1, (0, 1, 1), 7): (1, 1)
(10, 0, 1, (1, 0, 0), 0): (671, 1428)
(10, 0, 1, (1, 0, 0), 1): (95, 117)
(10, 0, 1, (1, 0, 0), 2): (39, 41)
(10, 0, 1, (1, 0, 0), 3): (18, 18)
(10, 0, 1, (1, 0, 0), 4): (10, 10)
(10, 0, 1, (1, 0, 0), 5): (1, 1)
(10, 0, 1, (1, 0, 0), 6): (1, 1)
(10, 0, 1, (1, 0, 0), 7): (1, 1)
(10, 0, 1, (1, 0, 1), 0): (142, 219)
(10, 0, 1, (1, 0, 1), 1): (46, 56)
(10, 0, 1, (1, 0, 1), 2): (26, 29)
(10, 0, 1, (1, 0, 1), 3): (11, 11)
(10, 0, 1, (1, 0, 1), 4): (7, 7)
(10, 0, 1, (1, 0, 1), 5): (3, 3)
(10, 0, 1, (1, 1, 0), 0): (313, 563)
(10, 0, 1, (1, 1, 0), 1): (106, 119)
(10, 0, 1, (1, 1, 0), 2): (35, 39)
(10, 0, 1, (1, 1, 0), 3): (11, 13)
(10, 0, 1, (1, 1, 0), 4): (5, 5)
(10, 0, 1, (1, 1, 0), 5): (1, 1)
(10, 0, 1, (1, 1, 0), 7): (1, 1)
(10, 0, 1, (1, 1, 1), 0): (121, 182)
(10, 0, 1, (1, 1, 1), 1): (59, 70)
(10, 0, 1, (1, 1, 1), 2): (29, 31)
(10, 0, 1, (1, 1, 1), 3): (10, 11)
(10, 0, 1, (1, 1, 1), 4): (2, 2)
(10, 0, 1, (1, 1, 1), 5): (1, 1)
(10, 0, 2, (0, 0, 0), 0): (1022, 2679)
(10, 0, 2, (0, 0, 0), 1): (174, 219)
(10, 0, 2, (0, 0, 0), 2): (82, 90)
(10, 0, 2, (0, 0, 0), 3): (53, 53)
(10, 0, 2, (0, 0, 0), 4): (17, 19)
(10, 0, 2, (0, 0, 0), 5): (8, 8)
(10, 0, 2, (0, 0, 0), 6): (6, 6)
(10, 0, 2, (0, 0, 0), 8): (1, 1)
(10, 0, 2, (0, 0, 1), 0): (97, 216)
(10, 0, 2, (0, 0, 1), 1): (55, 64)
(10, 0, 2, (0, 0, 1), 2): (24, 27)
(10, 0, 2, (0, 0, 1), 3): (10, 11)
(10, 0, 2, (0, 0, 1), 4): (10, 10)
(10, 0, 2, (0, 0, 1), 5): (1, 1)
(10, 0, 2, (0, 1, 0), 0): (362, 710)
(10, 0, 2, (0, 1, 0), 1): (160, 194)
(10, 0, 2, (0, 1, 0), 2): (60, 67)
(10, 0, 2, (0, 1, 0), 3): (31, 34)
(10, 0, 2, (0, 1, 0), 4): (14, 15)
(10, 0, 2, (0, 1, 0), 5): (4, 4)
(10, 0, 2, (0, 1, 0), 6): (6, 6)
(10, 0, 2, (0, 1, 0), 8): (1, 1)
(10, 0, 2, (0, 1, 1), 0): (59, 119)
(10, 0, 2, (0, 1, 1), 1): (73, 82)
(10, 0, 2, (0, 1, 1), 2): (30, 34)
(10, 0, 2, (0, 1, 1), 3): (21, 22)
(10, 0, 2, (0, 1, 1), 4): (3, 3)
(10, 0, 2, (0, 1, 1), 5): (3, 3)
(10, 0, 2, (0, 1, 1), 6): (1, 1)
(10, 0, 2, (0, 1, 1), 7): (2, 2)
(10, 0, 2, (1, 0, 0), 0): (526, 1295)
(10, 0, 2, (1, 0, 0), 1): (153, 186)
(10, 0, 2, (1, 0, 0), 2): (61, 67)
(10, 0, 2, (1, 0, 0), 3): (37, 38)
(10, 0, 2, (1, 0, 0), 4): (15, 17)
(10, 0, 2, (1, 0, 0), 5): (10, 10)
(10, 0, 2, (1, 0, 0), 6): (4, 4)
(10, 0, 2, (1, 0, 0), 7): (2, 2)
(10, 0, 2, (1, 0, 0), 9): (1, 1)
(10, 0, 2, (1, 0, 1), 0): (113, 248)
(10, 0, 2, (1, 0, 1), 1): (98, 113)
(10, 0, 2, (1, 0, 1), 2): (40, 46)
(10, 0, 2, (1, 0, 1), 3): (16, 16)
(10, 0, 2, (1, 0, 1), 4): (11, 11)
(10, 0, 2, (1, 0, 1), 5): (2, 2)
(10, 0, 2, (1, 0, 1), 8): (1, 1)
(10, 0, 2, (1, 1, 0), 0): (287, 621)
(10, 0, 2, (1, 1, 0), 1): (143, 181)
(10, 0, 2, (1, 1, 0), 2): (59, 64)
(10, 0, 2, (1, 1, 0), 3): (31, 34)
(10, 0, 2, (1, 1, 0), 4): (17, 17)
(10, 0, 2, (1, 1, 0), 5): (5, 5)
(10, 0, 2, (1, 1, 0), 6): (3, 3)
(10, 0, 2, (1, 1, 0), 7): (2, 2)
(10, 0, 2, (1, 1, 1), 0): (106, 210)
(10, 0, 2, (1, 1, 1), 1): (87, 107)
(10, 0, 2, (1, 1, 1), 2): (33, 38)
(10, 0, 2, (1, 1, 1), 3): (14, 15)
(10, 0, 2, (1, 1, 1), 4): (4, 4)
(10, 0, 2, (1, 1, 1), 5): (3, 3)
(10, 0, 2, (1, 1, 1), 7): (1, 1)
(10, 1, 0, (0, 0, 0), -9): (0, 1)
(10, 1, 0, (0, 0, 0), -8): (0, 1)
(10, 1, 0, (0, 0, 0), -7): (0, 4)
(10, 1, 0, (0, 0, 0), -6): (0, 12)
(10, 1, 0, (0, 0, 0), -5): (0, 29)
(10, 1, 0, (0, 0, 0), -4): (2, 63)
(10, 1, 0, (0, 0, 0), -3): (9, 162)
(10, 1, 0, (0, 0, 0), -2): (29, 326)
(10, 1, 0, (0, 0, 0), -1): (153, 776)
(10, 1, 0, (0, 0, 0), 0): (2694, 4149)
(10, 1, 0, (0, 0, 0), 1): (105, 105)
(10, 1, 0, (0, 0, 0), 2): (17, 17)
(10, 1, 0, (0, 0, 0), 3): (1, 1)
(10, 1, 0, (0, 0, 0), 4): (2, 2)
(10, 1, 0, (0, 0, 1), -4): (0, 1)
(10, 1, 0, (0, 0, 1), -3): (0, 3)
(10, 1, 0, (0, 0, 1), -2): (0, 1)
(10, 1, 0, (0, 0, 1), -1): (3, 8)
(10, 1, 0, (0, 0, 1), 0): (34, 40)
(10, 1, 0, (0, 0, 1), 1): (3, 3)
(10, 1, 0, (0, 1, 0), -6): (0, 1)
(10, 1, 0, (0, 1, 0), -4): (0, 7)
(10, 1, 0, (0, 1, 0), -3): (1, 17)
(10, 1, 0, (0, 1, 0), -2): (6, 16)
(10, 1, 0, (0, 1, 0), -1): (20, 40)
(10, 1, 0, (0, 1, 0), 0): (179, 221)
(10, 1, 0, (0, 1, 0), 1): (9, 9)
(10, 1, 0, (0, 1, 1), -3): (0, 1)
(10, 1, 0, (0, 1, 1), -2): (2, 4)
(10, 1, 0, (0, 1, 1), -1): (3, 7)
(10, 1, 0, (0, 1, 1), 0): (27, 30)
(10, 1, 0, (0, 1, 1), 1): (5, 5)
(10, 1, 0, (1, 0, 0), -8): (0, 1)
(10, 1, 0, (1, 0, 0), -7): (0, 2)
(10, 1, 0, (1, 0, 0), -6): (0, 2)
(10, 1, 0, (1, 0, 0), -5): (0, 1)
(10, 1, 0, (1, 0, 0), -4): (2, 15)
(10, 1, 0, (1, 0, 0), -3): (7, 38)
(10, 1, 0, (1, 0, 0), -2): (14, 83)
(10, 1, 0, (1, 0, 0), -1): (74, 213)
(10, 1, 0, (1, 0, 0), 0): (843, 1153)
(10, 1, 0, (1, 0, 0), 1): (12, 12)
(10, 1, 0, (1, 0, 1), -4): (0, 3)
(10, 1, 0, (1, 0, 1), -3): (1, 4)
(10, 1, 0, (1, 0, 1), -2): (3, 6)
(10, 1, 0, (1, 0, 1), -1): (7, 13)
(10, 1, 0, (1, 0, 1), 0): (72, 88)
(10, 1, 0, (1, 0, 1), 1): (4, 4)
(10, 1, 0, (1, 1, 0), -8): (0, 1)
(10, 1, 0, (1, 1, 0), -7): (0, 1)
(10, 1, 0, (1, 1, 0), -6): (0, 1)
(10, 1, 0, (1, 1, 0), -4): (1, 4)
(10, 1, 0, (1, 1, 0), -3): (3, 13)
(10, 1, 0, (1, 1, 0), -2): (9, 23)
(10, 1, 0, (1, 1, 0), -1): (22, 38)
(10, 1, 0, (1, 1, 0), 0): (183, 210)
(10, 1, 0, (1, 1, 0), 1): (32, 32)
(10, 1, 0, (1, 1, 1), -3): (0, 2)
(10, 1, 0, (1, 1, 1), -2): (1, 6)
(10, 1, 0, (1, 1, 1), -1): (6, 11)
(10, 1, 0, (1, 1, 1), 0): (98, 106)
(10, 1, 0, (1, 1, 1), 1): (39, 39)
(10, 1, 1, (0, 0, 0), -9): (0, 1)
(10, 1, 1, (0, 0, 0), -7): (0, 2)
(10, 1, 1, (0, 0, 0), -6): (0, 9)
(10, 1, 1, (0, 0, 0), -5): (0, 28)
(10, 1, 1, (0, 0, 0), -4): (0, 43)
(10, 1, 1, (0, 0, 0), -3): (2, 108)
(10, 1, 1, (0, 0, 0), -2): (11, 232)
(10, 1, 1, (0, 0, 0), -1): (56, 529)
(10, 1, 1, (0, 0, 0), 0): (1640, 2783)
(10, 1, 1, (0, 0, 0), 1): (92, 92)
(10, 1, 1, (0, 0, 0), 2): (31, 31)
(10, 1, 1, (0, 0, 0), 3): (13, 13)
(10, 1, 1, (0, 0, 0), 4): (9, 9)
(10, 1, 1, (0, 0, 1), -4): (0, 4)
(10, 1, 1, (0, 0, 1), -3): (0, 7)
(10, 1, 1, (0, 0, 1), -2): (2, 8)
(10, 1, 1, (0, 0, 1), -1): (6, 21)
(10, 1, 1, (0, 0, 1), 0): (105, 127)
(10, 1, 1, (0, 0, 1), 1): (11, 11)
(10, 1, 1, (0, 1, 0), -7): (0, 1)
(10, 1, 1, (0, 1, 0), -6): (0, 1)
(10, 1, 1, (0, 1, 0), -5): (0, 1)
(10, 1, 1, (0, 1, 0), -4): (0, 1)
(10, 1, 1, (0, 1, 0), -3): (2, 20)
(10, 1, 1, (0, 1, 0), -2): (2, 25)
(10, 1, 1, (0, 1, 0), -1): (35, 121)
(10, 1, 1, (0, 1, 0), 0): (511, 708)
(10, 1, 1, (0, 1, 0), 1): (34, 34)
(10, 1, 1, (0, 1, 1), -6): (0, 1)
(10, 1, 1, (0, 1, 1), -4): (0, 1)
(10, 1, 1, (0, 1, 1), -3): (0, 4)
(10, 1, 1, (0, 1, 1), -2): (2, 9)
(10, 1, 1, (0, 1, 1), -1): (21, 30)
(10, 1, 1, (0, 1, 1), 0): (112, 131)
(10, 1, 1, (0, 1, 1), 1): (19, 19)
(10, 1, 1, (1, 0, 0), -7): (0, 1)
(10, 1, 1, (1, 0, 0), -6): (0, 4)
(10, 1, 1, (1, 0, 0), -5): (0, 9)
(10, 1, 1, (1, 0, 0), -4): (1, 22)
(10, 1, 1, (1, 0, 0), -3): (3, 43)
(10, 1, 1, (1, 0, 0), -2): (5, 84)
(10, 1, 1, (1, 0, 0), -1): (43, 196)
(10, 1, 1, (1, 0, 0), 0): (706, 1093)
(10, 1, 1, (1, 0, 0), 1): (69, 69)
(10, 1, 1, (1, 0, 1), -6): (0, 1)
(10, 1, 1, (1, 0, 1), -4): (1, 3)
(10, 1, 1, (1, 0, 1), -3): (2, 8)
(10, 1, 1, (1, 0, 1), -2): (5, 9)
(10, 1, 1, (1, 0, 1), -1): (12, 25)
(10, 1, 1, (1, 0, 1), 0): (173, 217)
(10, 1, 1, (1, 0, 1), 1): (21, 21)
(10, 1, 1, (1, 1, 0), -8): (0, 1)
(10, 1, 1, (1, 1, 0), -6): (0, 2)
(10, 1, 1, (1, 1, 0), -5): (0, 4)
(10, 1, 1, (1, 1, 0), -4): (0, 7)
(10, 1, 1, (1, 1, 0), -3): (5, 14)
(10, 1, 1, (1, 1, 0), -2): (6, 34)
(10, 1, 1, (1, 1, 0), -1): (31, 70)
(10, 1, 1, (1, 1, 0), 0): (400, 549)
(10, 1, 1, (1, 1, 0), 1): (125, 125)
(10, 1, 1, (1, 1, 1), -5): (0, 3)
(10, 1, 1, (1, 1, 1), -4): (0, 1)
(10, 1, 1, (1, 1, 1), -3): (1, 4)
(10, 1, 1, (1, 1, 1), -2): (1, 10)
(10, 1, 1, (1, 1, 1), -1): (19, 30)
(10, 1, 1, (1, 1, 1), 0): (277, 336)
(10, 1, 1, (1, 1, 1), 1): (135, 135)
(10, 1, 2, (0, 0, 0), -9): (0, 1)
(10, 1, 2, (0, 0, 0), -7): (0, 1)
(10, 1, 2, (0, 0, 0), -6): (0, 7)
(10, 1, 2, (0, 0, 0), -5): (0, 18)
(10, 1, 2, (0, 0, 0), -4): (0, 29)
(10, 1, 2, (0, 0, 0), -3): (0, 81)
(10, 1, 2, (0, 0, 0), -2): (5, 188)
(10, 1, 2, (0, 0, 0), -1): (20, 394)
(10, 1, 2, (0, 0, 0), 0): (1070, 1964)
(10, 1, 2, (0, 0, 0), 1): (49, 49)
(10, 1, 2, (0, 0, 0), 2): (27, 27)
(10, 1, 2, (0, 0, 0), 3): (15, 15)
(10, 1, 2, (0, 0, 0), 4): (8, 8)
(10, 1, 2, (0, 0, 1), -4): (0, 2)
(10, 1, 2, (0, 0, 1), -3): (0, 9)
(10, 1, 2, (0, 0, 1), -2): (0, 12)
(10, 1, 2, (0, 0, 1), -1): (5, 34)
(10, 1, 2, (0, 0, 1), 0): (94, 145)
(10, 1, 2, (0, 0, 1), 1): (3, 3)
(10, 1, 2, (0, 1, 0), -7): (0, 1)
(10, 1, 2, (0, 1, 0), -5): (0, 2)
(10, 1, 2, (0, 1, 0), -4): (0, 7)
(10, 1, 2, (0, 1, 0), -3): (0, 16)
(10, 1, 2, (0, 1, 0), -2): (1, 40)
(10, 1, 2, (0, 1, 0), -1): (18, 101)
(10, 1, 2, (0, 1, 0), 0): (319, 528)
(10, 1, 2, (0, 1, 0), 1): (31, 31)
(10, 1, 2, (0, 1, 1), -6): (0, 1)
(10, 1, 2, (0, 1, 1), -5): (0, 1)
(10, 1, 2, (0, 1, 1), -4): (0, 1)
(10, 1, 2, (0, 1, 1), -3): (0, 3)
(10, 1, 2, (0, 1, 1), -2): (0, 9)
(10, 1, 2, (0, 1, 1), -1): (6, 17)
(10, 1, 2, (0, 1, 1), 0): (95, 146)
(10, 1, 2, (0, 1, 1), 1): (13, 13)
(10, 1, 2, (1, 0, 0), -7): (0, 1)
(10, 1, 2, (1, 0, 0), -6): (0, 3)
(10, 1, 2, (1, 0, 0), -5): (0, 10)
(10, 1, 2, (1, 0, 0), -4): (0, 20)
(10, 1, 2, (1, 0, 0), -3): (0, 38)
(10, 1, 2, (1, 0, 0), -2): (5, 81)
(10, 1, 2, (1, 0, 0), -1): (19, 184)
(10, 1, 2, (1, 0, 0), 0): (551, 938)
(10, 1, 2, (1, 0, 0), 1): (72, 72)
(10, 1, 2, (1, 0, 1), -6): (0, 2)
(10, 1, 2, (1, 0, 1), -3): (1, 7)
(10, 1, 2, (1, 0, 1), -2): (2, 17)
(10, 1, 2, (1, 0, 1), -1): (7, 33)
(10, 1, 2, (1, 0, 1), 0): (146, 214)
(10, 1, 2, (1, 0, 1), 1): (22, 22)
(10, 1, 2, (1, 1, 0), -8): (0, 1)
(10, 1, 2, (1, 1, 0), -6): (0, 1)
(10, 1, 2, (1, 1, 0), -5): (0, 4)
(10, 1, 2, (1, 1, 0), -4): (0, 9)
(10, 1, 2, (1, 1, 0), -3): (0, 16)
(10, 1, 2, (1, 1, 0), -2): (3, 36)
(10, 1, 2, (1, 1, 0), -1): (18, 83)
(10, 1, 2, (1, 1, 0), 0): (372, 605)
(10, 1, 2, (1, 1, 0), 1): (156, 156)
(10, 1, 2, (1, 1, 1), -8): (0, 1)
(10, 1, 2, (1, 1, 1), -5): (0, 4)
(10, 1, 2, (1, 1, 1), -4): (0, 4)
(10, 1, 2, (1, 1, 1), -3): (1, 5)
(10, 1, 2, (1, 1, 1), -2): (3, 16)
(10, 1, 2, (1, 1, 1), -1): (6, 28)
(10, 1, 2, (1, 1, 1), 0): (210, 310)
(10, 1, 2, (1, 1, 1), 1): (104, 104)
(11, 0, 0, (0, 0, 0), 0): (1507, 3088)
(11, 0, 0, (0, 0, 0), 1): (687, 697)
(11, 0, 0, (0, 0, 0), 2): (290, 290)
(11, 0, 0, (0, 0, 0), 3): (131, 131)
(11, 0, 0, (0, 0, 0), 4): (51, 51)
(11, 0, 0, (0, 0, 0), 5): (24, 24)
(11, 0, 0, (0, 0, 0), 6): (12, 12)
(11, 0, 0, (0, 0, 0), 7): (2, 2)
(11, 0, 0, (0, 0, 0), 8): (1, 1)
(11, 0, 0, (0, 0, 0), 9): (1, 1)
(11, 0, 0, (0, 0, 1), 0): (18, 23)
(11, 0, 0, (0, 0, 1), 1): (7, 7)
(11, 0, 0, (0, 0, 1), 3): (1, 1)
(11, 0, 0, (0, 0, 1), 4): (1, 1)
(11, 0, 0, (0, 1, 0), 0): (129, 173)
(11, 0, 0, (0, 1, 0), 1): (13, 15)
(11, 0, 0, (0, 1, 0), 2): (2, 2)
(11, 0, 0, (0, 1, 1), 0): (13, 17)
(11, 0, 0, (0, 1, 1), 1): (10, 11)
(11, 0, 0, (0, 1, 1), 2): (2, 2)
(11, 0, 0, (1, 0, 0), 0): (451, 836)
(11, 0, 0, (1, 0, 0), 1): (25, 28)
(11, 0, 0, (1, 0, 0), 2): (3, 3)
(11, 0, 0, (1, 0, 0), 3): (1, 1)
(11, 0, 0, (1, 0, 0), 4): (1, 1)
(11, 0, 0, (1, 0, 1), 0): (31, 39)
(11, 0, 0, (1, 0, 1), 1): (9, 10)
(11, 0, 0, (1, 0, 1), 2): (3, 3)
(11, 0, 0, (1, 1, 0), 0): (97, 142)
(11, 0, 0, (1, 1, 0), 1): (11, 13)
(11, 0, 0, (1, 1, 1), 0): (28, 33)
(11, 0, 0, (1, 1, 1), 1): (13, 14)
(11, 0, 1, (0, 0, 0), 0): (911, 2083)
(11, 0, 1, (0, 0, 0), 1): (79, 89)
(11, 0, 1, (0, 0, 0), 2): (38, 40)
(11, 0, 1, (0, 0, 0), 3): (17, 17)
(11, 0, 1, (0, 0, 0), 4): (7, 7)
(11, 0, 1, (0, 0, 0), 5): (4, 4)
(11, 0, 1, (0, 0, 0), 7): (1, 1)
(11, 0, 1, (0, 0, 1), 0): (75, 107)
(11, 0, 1, (0, 0, 1), 1): (19, 20)
(11, 0, 1, (0, 0, 1), 2): (9, 10)
(11, 0, 1, (0, 0, 1), 3): (5, 5)
(11, 0, 1, (0, 0, 1), 4): (1, 1)
(11, 0, 1, (0, 0, 1), 5): (4, 4)
(11, 0, 1, (0, 1, 0), 0): (273, 496)
(11, 0, 1, (0, 1, 0), 1): (64, 77)
(11, 0, 1, (0, 1, 0), 2): (20, 20)
(11, 0, 1, (0, 1, 0), 3): (7, 8)
(11, 0, 1, (0, 1, 0), 4): (2, 2)
(11, 0, 1, (0, 1, 0), 5): (1, 1)
(11, 0, 1, (0, 1, 0), 7): (1, 1)
(11, 0, 1, (0, 1, 1), 0): (64, 93)
(11, 0, 1, (0, 1, 1), 1): (34, 35)
(11, 0, 1, (0, 1, 1), 2): (15, 15)
(11, 0, 1, (0, 1, 1), 3): (4, 4)
(11, 0, 1, (0, 1, 1), 4): (4, 4)
(11, 0, 1, (0, 1, 1), 5): (1, 1)
(11, 0, 1, (1, 0, 0), 0): (384, 812)
(11, 0, 1, (1, 0, 0), 1): (62, 76)
(11, 0, 1, (1, 0, 0), 2): (19, 22)
(11, 0, 1, (1, 0, 0), 3): (11, 11)
(11, 0, 1, (1, 0, 0), 4): (5, 5)
(11, 0, 1, (1, 0, 0), 5): (3, 3)
(11, 0, 1, (1, 0, 0), 6): (3, 3)
(11, 0, 1, (1, 0, 0), 7): (1, 1)
(11, 0, 1, (1, 0, 1), 0): (95, 135)
(11, 0, 1, (1, 0, 1), 1): (30, 36)
(11, 0, 1, (1, 0, 1), 2): (21, 21)
(11, 0, 1, (1, 0, 1), 3): (9, 9)
(11, 0, 1, (1, 0, 1), 4): (1, 1)
(11, 0, 1, (1, 0, 1), 5): (2, 2)
(11, 0, 1, (1, 0, 1), 6): (1, 1)
(11, 0, 1, (1, 1, 0), 0): (194, 313)
(11, 0, 1, (1, 1, 0), 1): (69, 79)
(11, 0, 1, (1, 1, 0), 2): (21, 22)
(11, 0, 1, (1, 1, 0), 3): (8, 8)
(11, 0, 1, (1, 1, 0), 4): (4, 4)
(11, 0, 1, (1, 1, 0), 6): (1, 1)
(11, 0, 1, (1, 1, 1), 0): (91, 121)
(11, 0, 1, (1, 1, 1), 1): (57, 59)
(11, 0, 1, (1, 1, 1), 2): (18, 18)
(11, 0, 1, (1, 1, 1), 3): (4, 4)
(11, 0, 1, (1, 1, 1), 4): (5, 5)
(11, 0, 1, (1, 1, 1), 5): (4, 4)
(11, 0, 2, (0, 0, 0), 0): (583, 1486)
(11, 0, 2, (0, 0, 0), 1): (93, 110)
(11, 0, 2, (0, 0, 0), 2): (60, 61)
(11, 0, 2, (0, 0, 0), 3): (27, 29)
(11, 0, 2, (0, 0, 0), 4): (18, 18)
(11, 0, 2, (0, 0, 0), 5): (5, 6)
(11, 0, 2, (0, 0, 0), 6): (2, 2)
(11, 0, 2, (0, 0, 0), 7): (1, 1)
(11, 0, 2, (0, 0, 0), 8): (2, 2)
(11, 0, 2, (0, 0, 1), 0): (59, 133)
(11, 0, 2, (0, 0, 1), 1): (37, 42)
(11, 0, 2, (0, 0, 1), 2): (19, 21)
(11, 0, 2, (0, 0, 1), 3): (9, 9)
(11, 0, 2, (0, 0, 1), 4): (2, 2)
(11, 0, 2, (0, 0, 1), 5): (2, 2)
(11, 0, 2, (0, 0, 1), 6): (2, 2)
(11, 0, 2, (0, 0, 1), 7): (1, 1)
(11, 0, 2, (0, 1, 0), 0): (166, 376)
(11, 0, 2, (0, 1, 0), 1): (73, 87)
(11, 0, 2, (0, 1, 0), 2): (49, 54)
(11, 0, 2, (0, 1, 0), 3): (20, 21)
(11, 0, 2, (0, 1, 0), 4): (8, 8)
(11, 0, 2, (0, 1, 0), 5): (5, 5)
(11, 0, 2, (0, 1, 0), 6): (1, 1)
(11, 0, 2, (0, 1, 0), 7): (2, 2)
(11, 0, 2, (0, 1, 0), 8): (1, 1)
(11, 0, 2, (0, 1, 1), 0): (37, 65)
(11, 0, 2, (0, 1, 1), 1): (40, 45)
(11, 0, 2, (0, 1, 1), 2): (17, 18)
(11, 0, 2, (0, 1, 1), 3): (7, 8)
(11, 0, 2, (0, 1, 1), 4): (3, 3)
(11, 0, 2, (0, 1, 1), 5): (1, 1)
(11, 0, 2, (0, 1, 1), 6): (1, 1)
(11, 0, 2, (0, 1, 1), 7): (1, 1)
(11, 0, 2, (1, 0, 0), 0): (297, 716)
(11, 0, 2, (1, 0, 0), 1): (82, 107)
(11, 0, 2, (1, 0, 0), 2): (41, 42)
(11, 0, 2, (1, 0, 0), 3): (22, 22)
(11, 0, 2, (1, 0, 0), 4): (11, 11)
(11, 0, 2, (1, 0, 0), 5): (6, 6)
(11, 0, 2, (1, 0, 0), 6): (3, 3)
(11, 0, 2, (1, 0, 0), 7): (2, 2)
(11, 0, 2, (1, 0, 1), 0): (80, 160)
(11, 0, 2, (1, 0, 1), 1): (56, 64)
(11, 0, 2, (1, 0, 1), 2): (39, 39)
(11, 0, 2, (1, 0, 1), 3): (20, 20)
(11, 0, 2, (1, 0, 1), 4): (4, 4)
(11, 0, 2, (1, 0, 1), 5): (5, 5)
(11, 0, 2, (1, 0, 1), 6): (3, 3)
(11, 0, 2, (1, 0, 1), 7): (2, 2)
(11, 0, 2, (1, 1, 0), 0): (168, 362)
(11, 0, 2, (1, 1, 0), 1): (87, 108)
(11, 0, 2, (1, 1, 0), 2): (39, 43)
(11, 0, 2, (1, 1, 0), 3): (20, 20)
(11, 0, 2, (1, 1, 0), 4): (12, 12)
(11, 0, 2, (1, 1, 0), 5): (6, 6)
(11, 0, 2, (1, 1, 0), 6): (1, 1)
(11, 0, 2, (1, 1, 0), 7): (2, 2)
(11, 0, 2, (1, 1, 0), 8): (1, 1)
(11, 0, 2, (1, 1, 1), 0): (73, 135)
(11, 0, 2, (1, 1, 1), 1): (47, 56)
(11, 0, 2, (1, 1, 1), 2): (31, 32)
(11, 0, 2, (1, 1, 1), 3): (4, 4)
(11, 0, 2, (1, 1, 1), 4): (4, 4)
(11, 0, 2, (1, 1, 1), 5): (3, 3)
(11, 1, 0, (0, 0, 0), -8): (0, 3)
(11, 1, 0, (0, 0, 0), -7): (0, 5)
(11, 1, 0, (0, 0, 0), -6): (0, 11)
(11, 1, 0, (0, 0, 0), -5): (1, 21)
(11, 1, 0, (0, 0, 0), -4): (0, 39)
(11, 1, 0, (0, 0, 0), -3): (4, 92)
(11, 1, 0, (0, 0, 0), -2): (11, 209)
(11, 1, 0, (0, 0, 0), -1): (80, 427)
(11, 1, 0, (0, 0, 0), 0): (1491, 2295)
(11, 1, 0, (0, 0, 0), 1): (51, 51)
(11, 1, 0, (0, 0, 0), 2): (7, 7)
(11, 1, 0, (0, 0, 0), 3): (3, 3)
(11, 1, 0, (0, 0, 1), -3): (0, 2)
(11, 1, 0, (0, 0, 1), -2): (0, 3)
(11, 1, 0, (0, 0, 1), -1): (0, 1)
(11, 1, 0, (0, 0, 1), 0): (17, 20)
(11, 1, 0, (0, 1, 0), -6): (0, 1)
(11, 1, 0, (0, 1, 0), -5): (0, 1)
(11, 1, 0, (0, 1, 0), -4): (0, 3)
(11, 1, 0, (0, 1, 0), -3): (2, 6)
(11, 1, 0, (0, 1, 0), -2): (1, 14)
(11, 1, 0, (0, 1, 0), -1): (13, 29)
(11, 1, 0, (0, 1, 0), 0): (120, 147)
(11, 1, 0, (0, 1, 0), 1): (4, 4)
(11, 1, 0, (0, 1, 1), -3): (1, 1)
(11, 1, 0, (0, 1, 1), -2): (2, 7)
(11, 1, 0, (0, 1, 1), -1): (1, 1)
(11, 1, 0, (0, 1, 1), 0): (18, 20)
(11, 1, 0, (0, 1, 1), 1): (1, 1)
(11, 1, 0, (1, 0, 0), -8): (0, 2)
(11, 1, 0, (1, 0, 0), -7): (0, 1)
(11, 1, 0, (1, 0, 0), -6): (0, 2)
(11, 1, 0, (1, 0, 0), -5): (1, 5)
(11, 1, 0, (1, 0, 0), -4): (0, 16)
(11, 1, 0, (1, 0, 0), -3): (2, 31)
(11, 1, 0, (1, 0, 0), -2): (8, 68)
(11, 1, 0, (1, 0, 0), -1): (38, 123)
(11, 1, 0, (1, 0, 0), 0): (470, 680)
(11, 1, 0, (1, 0, 0), 1): (9, 9)
(11, 1, 0, (1, 0, 1), -4): (0, 1)
(11, 1, 0, (1, 0, 1), -3): (0, 1)
(11, 1, 0, (1, 0, 1), -2): (0, 6)
(11, 1, 0, (1, 0, 1), -1): (6, 9)
(11, 1, 0, (1, 0, 1), 0): (48, 55)
(11, 1, 0, (1, 0, 1), 1): (1, 1)
(11, 1, 0, (1, 1, 0), -7): (0, 1)
(11, 1, 0, (1, 1, 0), -6): (0, 1)
(11, 1, 0, (1, 1, 0), -5): (1, 2)
(11, 1, 0, (1, 1, 0), -4): (0, 7)
(11, 1, 0, (1, 1, 0), -3): (2, 10)
(11, 1, 0, (1, 1, 0), -2): (4, 20)
(11, 1, 0, (1, 1, 0), -1): (8, 15)
(11, 1, 0, (1, 1, 0), 0): (108, 133)
(11, 1, 0, (1, 1, 0), 1): (16, 16)
(11, 1, 0, (1, 1, 1), -7): (0, 1)
(11, 1, 0, (1, 1, 1), -5): (1, 2)
(11, 1, 0, (1, 1, 1), -4): (0, 2)
(11, 1, 0, (1, 1, 1), -2): (1, 1)
(11, 1, 0, (1, 1, 1), -1): (5, 7)
(11, 1, 0, (1, 1, 1), 0): (61, 68)
(11, 1, 0, (1, 1, 1), 1): (27, 27)
(11, 1, 1, (0, 0, 0), -8): (0, 1)
(11, 1, 1, (0, 0, 0), -7): (0, 4)
(11, 1, 1, (0, 0, 0), -6): (0, 8)
(11, 1, 1, (0, 0, 0), -5): (0, 16)
(11, 1, 1, (0, 0, 0), -4): (0, 21)
(11, 1, 1, (0, 0, 0), -3): (0, 54)
(11, 1, 1, (0, 0, 0), -2): (3, 126)
(11, 1, 1, (0, 0, 0), -1): (28, 285)
(11, 1, 1, (0, 0, 0), 0): (904, 1486)
(11, 1, 1, (0, 0, 0), 1): (48, 48)
(11, 1, 1, (0, 0, 0), 2): (21, 21)
(11, 1, 1, (0, 0, 0), 3): (5, 5)
(11, 1, 1, (0, 0, 0), 4): (4, 4)
(11, 1, 1, (0, 0, 1), -7): (0, 1)
(11, 1, 1, (0, 0, 1), -3): (0, 3)
(11, 1, 1, (0, 0, 1), -2): (1, 12)
(11, 1, 1, (0, 0, 1), -1): (8, 16)
(11, 1, 1, (0, 0, 1), 0): (47, 59)
(11, 1, 1, (0, 0, 1), 1): (2, 2)
(11, 1, 1, (0, 1, 0), -7): (0, 1)
(11, 1, 1, (0, 1, 0), -6): (0, 1)
(11, 1, 1, (0, 1, 0), -5): (0, 2)
(11, 1, 1, (0, 1, 0), -4): (0, 1)
(11, 1, 1, (0, 1, 0), -3): (0, 8)
(11, 1, 1, (0, 1, 0), -2): (1, 21)
(11, 1, 1, (0, 1, 0), -1): (17, 78)
(11, 1, 1, (0, 1, 0), 0): (301, 446)
(11, 1, 1, (0, 1, 0), 1): (19, 19)
(11, 1, 1, (0, 1, 1), -8): (0, 1)
(11, 1, 1, (0, 1, 1), -6): (0, 1)
(11, 1, 1, (0, 1, 1), -3): (0, 1)
(11, 1, 1, (0, 1, 1), -2): (3, 18)
(11, 1, 1, (0, 1, 1), -1): (7, 11)
(11, 1, 1, (0, 1, 1), 0): (64, 81)
(11, 1, 1, (0, 1, 1), 1): (9, 9)
(11, 1, 1, (1, 0, 0), -8): (0, 3)
(11, 1, 1, (1, 0, 0), -6): (0, 1)
(11, 1, 1, (1, 0, 0), -5): (0, 5)
(11, 1, 1, (1, 0, 0), -4): (0, 11)
(11, 1, 1, (1, 0, 0), -3): (1, 27)
(11, 1, 1, (1, 0, 0), -2): (2, 57)
(11, 1, 1, (1, 0, 0), -1): (21, 108)
(11, 1, 1, (1, 0, 0), 0): (402, 618)
(11, 1, 1, (1, 0, 0), 1): (40, 40)
(11, 1, 1, (1, 0, 1), -8): (0, 1)
(11, 1, 1, (1, 0, 1), -5): (0, 1)
(11, 1, 1, (1, 0, 1), -4): (0, 2)
(11, 1, 1, (1, 0, 1), -3): (0, 4)
(11, 1, 1, (1, 0, 1), -2): (1, 6)
(11, 1, 1, (1, 0, 1), -1): (6, 14)
(11, 1, 1, (1, 0, 1), 0): (98, 113)
(11, 1, 1, (1, 0, 1), 1): (5, 5)
(11, 1, 1, (1, 1, 0), -7): (0, 1)
(11, 1, 1, (1, 1, 0), -6): (0, 1)
(11, 1, 1, (1, 1, 0), -5): (0, 3)
(11, 1, 1, (1, 1, 0), -4): (0, 8)
(11, 1, 1, (1, 1, 0), -3): (2, 11)
(11, 1, 1, (1, 1, 0), -2): (2, 26)
(11, 1, 1, (1, 1, 0), -1): (13, 32)
(11, 1, 1, (1, 1, 0), 0): (232, 327)
(11, 1, 1, (1, 1, 0), 1): (76, 76)
(11, 1, 1, (1, 1, 1), -6): (0, 1)
(11, 1, 1, (1, 1, 1), -5): (0, 1)
(11, 1, 1, (1, 1, 1), -4): (0, 1)
(11, 1, 1, (1, 1, 1), -3): (2, 2)
(11, 1, 1, (1, 1, 1), -2): (0, 4)
(11, 1, 1, (1, 1, 1), -1): (7, 9)
(11, 1, 1, (1, 1, 1), 0): (147, 179)
(11, 1, 1, (1, 1, 1), 1): (65, 65)
(11, 1, 2, (0, 0, 0), -7): (0, 4)
(11, 1, 2, (0, 0, 0), -6): (0, 8)
(11, 1, 2, (0, 0, 0), -5): (0, 12)
(11, 1, 2, (0, 0, 0), -4): (0, 19)
(11, 1, 2, (0, 0, 0), -3): (0, 43)
(11, 1, 2, (0, 0, 0), -2): (3, 101)
(11, 1, 2, (0, 0, 0), -1): (6, 213)
(11, 1, 2, (0, 0, 0), 0): (573, 1024)
(11, 1, 2, (0, 0, 0), 1): (25, 25)
(11, 1, 2, (0, 0, 0), 2): (8, 8)
(11, 1, 2, (0, 0, 0), 3): (11, 11)
(11, 1, 2, (0, 0, 0), 4): (6, 6)
(11, 1, 2, (0, 0, 1), -7): (0, 2)
(11, 1, 2, (0, 0, 1), -4): (0, 2)
(11, 1, 2, (0, 0, 1), -3): (0, 10)
(11, 1, 2, (0, 0, 1), -2): (0, 9)
(11, 1, 2, (0, 0, 1), -1): (1, 23)
(11, 1, 2, (0, 0, 1), 0): (51, 90)
(11, 1, 2, (0, 0, 1), 1): (3, 3)
(11, 1, 2, (0, 1, 0), -6): (0, 1)
(11, 1, 2, (0, 1, 0), -5): (0, 2)
(11, 1, 2, (0, 1, 0), -4): (0, 1)
(11, 1, 2, (0, 1, 0), -3): (0, 13)
(11, 1, 2, (0, 1, 0), -2): (1, 18)
(11, 1, 2, (0, 1, 0), -1): (4, 54)
(11, 1, 2, (0, 1, 0), 0): (191, 308)
(11, 1, 2, (0, 1, 0), 1): (22, 22)
(11, 1, 2, (0, 1, 1), -6): (0, 1)
(11, 1, 2, (0, 1, 1), -3): (0, 2)
(11, 1, 2, (0, 1, 1), -2): (1, 8)
(11, 1, 2, (0, 1, 1), -1): (3, 13)
(11, 1, 2, (0, 1, 1), 0): (55, 91)
(11, 1, 2, (0, 1, 1), 1): (7, 7)
(11, 1, 2, (1, 0, 0), -7): (0, 1)
(11, 1, 2, (1, 0, 0), -5): (0, 5)
(11, 1, 2, (1, 0, 0), -4): (0, 10)
(11, 1, 2, (1, 0, 0), -3): (0, 23)
(11, 1, 2, (1, 0, 0), -2): (2, 55)
(11, 1, 2, (1, 0, 0), -1): (8, 127)
(11, 1, 2, (1, 0, 0), 0): (297, 530)
(11, 1, 2, (1, 0, 0), 1): (47, 47)
(11, 1, 2, (1, 0, 1), -5): (0, 1)
(11, 1, 2, (1, 0, 1), -4): (0, 1)
(11, 1, 2, (1, 0, 1), -3): (0, 6)
(11, 1, 2, (1, 0, 1), -2): (1, 9)
(11, 1, 2, (1, 0, 1), -1): (6, 32)
(11, 1, 2, (1, 0, 1), 0): (94, 146)
(11, 1, 2, (1, 0, 1), 1): (19, 19)
(11, 1, 2, (1, 1, 0), -7): (0, 1)
(11, 1, 2, (1, 1, 0), -5): (0, 4)
(11, 1, 2, (1, 1, 0), -4): (0, 6)
(11, 1, 2, (1, 1, 0), -3): (0, 11)
(11, 1, 2, (1, 1, 0), -2): (1, 25)
(11, 1, 2, (1, 1, 0), -1): (6, 55)
(11, 1, 2, (1, 1, 0), 0): (195, 313)
(11, 1, 2, (1, 1, 0), 1): (91, 91)
(11, 1, 2, (1, 1, 1), -7): (0, 1)
(11, 1, 2, (1, 1, 1), -5): (0, 1)
(11, 1, 2, (1, 1, 1), -4): (0, 1)
(11, 1, 2, (1, 1, 1), -3): (1, 1)
(11, 1, 2, (1, 1, 1), -2): (1, 5)
(11, 1, 2, (1, 1, 1), -1): (2, 13)
(11, 1, 2, (1, 1, 1), 0): (120, 180)
(11, 1, 2, (1, 1, 1), 1): (54, 54)
(12, 0, 0, (0, 0, 0), 0): (840, 1715)
(12, 0, 0, (0, 0, 0), 1): (391, 395)
(12, 0, 0, (0, 0, 0), 2): (165, 166)
(12, 0, 0, (0, 0, 0), 3): (78, 78)
(12, 0, 0, (0, 0, 0), 4): (29, 29)
(12, 0, 0, (0, 0, 0), 5): (16, 16)
(12, 0, 0, (0, 0, 0), 6): (10, 10)
(12, 0, 0, (0, 0, 0), 7): (7, 7)
(12, 0, 0, (0, 0, 1), 0): (10, 14)
(12, 0, 0, (0, 0, 1), 1): (4, 4)
(12, 0, 0, (0, 0, 1), 2): (1, 1)
(12, 0, 0, (0, 0, 1), 3): (1, 1)
(12, 0, 0, (0, 0, 1), 4): (1, 1)
(12, 0, 0, (0, 1, 0), 0): (90, 119)
(12, 0, 0, (0, 1, 0), 1): (9, 12)
(12, 0, 0, (0, 1, 0), 2): (2, 2)
(12, 0, 0, (0, 1, 0), 3): (1, 1)
(12, 0, 0, (0, 1, 1), 0): (11, 16)
(12, 0, 0, (0, 1, 1), 1): (4, 4)
(12, 0, 0, (0, 1, 1), 2): (2, 2)
(12, 0, 0, (1, 0, 0), 0): (279, 500)
(12, 0, 0, (1, 0, 0), 1): (10, 11)
(12, 0, 0, (1, 0, 0), 2): (4, 4)
(12, 0, 0, (1, 0, 1), 0): (17, 23)
(12, 0, 0, (1, 0, 1), 1): (6, 6)
(12, 0, 0, (1, 0, 1), 2): (3, 3)
(12, 0, 0, (1, 0, 1), 3): (1, 1)
(12, 0, 0, (1, 1, 0), 0): (49, 75)
(12, 0, 0, (1, 1, 0), 1): (4, 5)
(12, 0, 0, (1, 1, 0), 2): (1, 1)
(12, 0, 0, (1, 1, 1), 0): (13, 18)
(12, 0, 0, (1, 1, 1), 1): (5, 5)
(12, 0, 0, (1, 1, 1), 2): (2, 2)
(12, 0, 1, (0, 0, 0), 0): (488, 1128)
(12, 0, 1, (0, 0, 0), 1): (45, 54)
(12, 0, 1, (0, 0, 0), 2): (17, 23)
(12, 0, 1, (0, 0, 0), 3): (10, 10)
(12, 0, 1, (0, 0, 0), 4): (4, 4)
(12, 0, 1, (0, 0, 0), 5): (2, 2)
(12, 0, 1, (0, 0, 1), 0): (46, 64)
(12, 0, 1, (0, 0, 1), 1): (16, 20)
(12, 0, 1, (0, 0, 1), 2): (4, 4)
(12, 0, 1, (0, 0, 1), 3): (2, 2)
(12, 0, 1, (0, 0, 1), 4): (2, 2)
(12, 0, 1, (0, 0, 1), 5): (1, 1)
(12, 0, 1, (0, 1, 0), 0): (170, 283)
(12, 0, 1, (0, 1, 0), 1): (32, 39)
(12, 0, 1, (0, 1, 0), 2): (14, 16)
(12, 0, 1, (0, 1, 0), 4): (1, 1)
(12, 0, 1, (0, 1, 0), 5): (1, 1)
(12, 0, 1, (0, 1, 1), 0): (39, 55)
(12, 0, 1, (0, 1, 1), 1): (17, 18)
(12, 0, 1, (0, 1, 1), 2): (6, 6)
(12, 0, 1, (0, 1, 1), 3): (2, 2)
(12, 0, 1, (0, 1, 1), 4): (1, 1)
(12, 0, 1, (0, 1, 1), 5): (2, 2)
(12, 0, 1, (1, 0, 0), 0): (213, 447)
(12, 0, 1, (1, 0, 0), 1): (34, 39)
(12, 0, 1, (1, 0, 0), 2): (13, 13)
(12, 0, 1, (1, 0, 0), 3): (2, 2)
(12, 0, 1, (1, 0, 0), 4): (3, 3)
(12, 0, 1, (1, 0, 0), 5): (2, 2)
(12, 0, 1, (1, 0, 0), 7): (1, 1)
(12, 0, 1, (1, 0, 1), 0): (44, 71)
(12, 0, 1, (1, 0, 1), 1): (15, 19)
(12, 0, 1, (1, 0, 1), 2): (10, 10)
(12, 0, 1, (1, 0, 1), 3): (3, 3)
(12, 0, 1, (1, 0, 1), 5): (1, 1)
(12, 0, 1, (1, 1, 0), 0): (96, 174)
(12, 0, 1, (1, 1, 0), 1): (21, 28)
(12, 0, 1, (1, 1, 0), 2): (9, 11)
(12, 0, 1, (1, 1, 0), 3): (3, 3)
(12, 0, 1, (1, 1, 0), 4): (2, 2)
(12, 0, 1, (1, 1, 0), 6): (1, 1)
(12, 0, 1, (1, 1, 1), 0): (41, 62)
(12, 0, 1, (1, 1, 1), 1): (27, 30)
(12, 0, 1, (1, 1, 1), 2): (13, 14)
(12, 0, 1, (1, 1, 1), 3): (1, 1)
(12, 0, 2, (0, 0, 0), 0): (316, 813)
(12, 0, 2, (0, 0, 0), 1): (51, 58)
(12, 0, 2, (0, 0, 0), 2): (30, 36)
(12, 0, 2, (0, 0, 0), 3): (14, 14)
(12, 0, 2, (0, 0, 0), 4): (9, 9)
(12, 0, 2, (0, 0, 0), 5): (1, 1)
(12, 0, 2, (0, 0, 0), 6): (2, 2)
(12, 0, 2, (0, 0, 0), 8): (1, 1)
(12, 0, 2, (0, 0, 1), 0): (49, 78)
(12, 0, 2, (0, 0, 1), 1): (19, 26)
(12, 0, 2, (0, 0, 1), 2): (6, 8)
(12, 0, 2, (0, 0, 1), 3): (5, 6)
(12, 0, 2, (0, 0, 1), 4): (5, 5)
(12, 0, 2, (0, 0, 1), 5): (2, 2)
(12, 0, 2, (0, 1, 0), 0): (106, 221)
(12, 0, 2, (0, 1, 0), 1): (49, 61)
(12, 0, 2, (0, 1, 0), 2): (32, 34)
(12, 0, 2, (0, 1, 0), 3): (4, 4)
(12, 0, 2, (0, 1, 0), 4): (4, 4)
(12, 0, 2, (0, 1, 0), 5): (2, 2)
(12, 0, 2, (0, 1, 0), 6): (1, 1)
(12, 0, 2, (0, 1, 0), 7): (1, 1)
(12, 0, 2, (0, 1, 1), 0): (26, 48)
(12, 0, 2, (0, 1, 1), 1): (18, 20)
(12, 0, 2, (0, 1, 1), 2): (12, 12)
(12, 0, 2, (0, 1, 1), 3): (4, 5)
(12, 0, 2, (0, 1, 1), 4): (1, 1)
(12, 0, 2, (0, 1, 1), 6): (1, 1)
(12, 0, 2, (1, 0, 0), 0): (166, 385)
(12, 0, 2, (1, 0, 0), 1): (55, 66)
(12, 0, 2, (1, 0, 0), 2): (23, 25)
(12, 0, 2, (1, 0, 0), 3): (9, 9)
(12, 0, 2, (1, 0, 0), 4): (4, 4)
(12, 0, 2, (1, 0, 0), 5): (3, 3)
(12, 0, 2, (1, 0, 0), 6): (1, 1)
(12, 0, 2, (1, 0, 0), 7): (1, 1)
(12, 0, 2, (1, 0, 1), 0): (44, 90)
(12, 0, 2, (1, 0, 1), 1): (32, 39)
(12, 0, 2, (1, 0, 1), 2): (15, 15)
(12, 0, 2, (1, 0, 1), 3): (8, 8)
(12, 0, 2, (1, 0, 1), 5): (3, 3)
(12, 0, 2, (1, 0, 1), 6): (1, 1)
(12, 0, 2, (1, 1, 0), 0): (102, 210)
(12, 0, 2, (1, 1, 0), 1): (42, 56)
(12, 0, 2, (1, 1, 0), 2): (18, 22)
(12, 0, 2, (1, 1, 0), 3): (13, 13)
(12, 0, 2, (1, 1, 0), 4): (5, 5)
(12, 0, 2, (1, 1, 0), 5): (2, 2)
(12, 0, 2, (1, 1, 1), 0): (33, 66)
(12, 0, 2, (1, 1, 1), 1): (25, 31)
(12, 0, 2, (1, 1, 1), 2): (12, 14)
(12, 0, 2, (1, 1, 1), 3): (5, 5)
(12, 0, 2, (1, 1, 1), 4): (2, 2)
(12, 0, 2, (1, 1, 1), 6): (1, 1)
(12, 1, 0, (0, 0, 0), -8): (0, 1)
(12, 1, 0, (0, 0, 0), -7): (0, 1)
(12, 1, 0, (0, 0, 0), -6): (0, 5)
(12, 1, 0, (0, 0, 0), -5): (0, 8)
(12, 1, 0, (0, 0, 0), -4): (0, 19)
(12, 1, 0, (0, 0, 0), -3): (2, 50)
(12, 1, 0, (0, 0, 0), -2): (14, 119)
(12, 1, 0, (0, 0, 0), -1): (49, 249)
(12, 1, 0, (0, 0, 0), 0): (811, 1268)
(12, 1, 0, (0, 0, 0), 1): (20, 20)
(12, 1, 0, (0, 0, 0), 2): (6, 6)
(12, 1, 0, (0, 0, 0), 3): (1, 1)
(12, 1, 0, (0, 0, 1), -1): (1, 4)
(12, 1, 0, (0, 0, 1), 0): (15, 15)
(12, 1, 0, (0, 0, 1), 1): (3, 3)
(12, 1, 0, (0, 1, 0), -5): (0, 3)
(12, 1, 0, (0, 1, 0), -4): (0, 1)
(12, 1, 0, (0, 1, 0), -3): (0, 5)
(12, 1, 0, (0, 1, 0), -2): (1, 7)
(12, 1, 0, (0, 1, 0), -1): (6, 17)
(12, 1, 0, (0, 1, 0), 0): (65, 78)
(12, 1, 0, (0, 1, 0), 1): (3, 3)
(12, 1, 0, (0, 1, 1), -3): (1, 1)
(12, 1, 0, (0, 1, 1), -1): (1, 2)
(12, 1, 0, (0, 1, 1), 0): (11, 13)
(12, 1, 0, (0, 1, 1), 1): (1, 1)
(12, 1, 0, (1, 0, 0), -6): (0, 3)
(12, 1, 0, (1, 0, 0), -5): (0, 5)
(12, 1, 0, (1, 0, 0), -4): (0, 6)
(12, 1, 0, (1, 0, 0), -3): (2, 13)
(12, 1, 0, (1, 0, 0), -2): (7, 30)
(12, 1, 0, (1, 0, 0), -1): (30, 68)
(12, 1, 0, (1, 0, 0), 0): (271, 382)
(12, 1, 0, (1, 0, 0), 1): (6, 6)
(12, 1, 0, (1, 0, 1), -3): (0, 1)
(12, 1, 0, (1, 0, 1), -2): (1, 3)
(12, 1, 0, (1, 0, 1), -1): (2, 3)
(12, 1, 0, (1, 0, 1), 0): (19, 23)
(12, 1, 0, (1, 0, 1), 1): (1, 1)
(12, 1, 0, (1, 1, 0), -5): (0, 2)
(12, 1, 0, (1, 1, 0), -4): (0, 2)
(12, 1, 0, (1, 1, 0), -3): (0, 3)
(12, 1, 0, (1, 1, 0), -2): (3, 8)
(12, 1, 0, (1, 1, 0), -1): (5, 8)
(12, 1, 0, (1, 1, 0), 0): (66, 83)
(12, 1, 0, (1, 1, 0), 1): (12, 12)
(12, 1, 0, (1, 1, 1), -2): (1, 1)
(12, 1, 0, (1, 1, 1), -1): (2, 3)
(12, 1, 0, (1, 1, 1), 0): (27, 31)
(12, 1, 0, (1, 1, 1), 1): (10, 10)
(12, 1, 1, (0, 0, 0), -8): (0, 1)
(12, 1, 1, (0, 0, 0), -7): (0, 1)
(12, 1, 1, (0, 0, 0), -6): (0, 2)
(12, 1, 1, (0, 0, 0), -5): (0, 2)
(12, 1, 1, (0, 0, 0), -4): (0, 13)
(12, 1, 1, (0, 0, 0), -3): (0, 33)
(12, 1, 1, (0, 0, 0), -2): (6, 82)
(12, 1, 1, (0, 0, 0), -1): (16, 170)
(12, 1, 1, (0, 0, 0), 0): (481, 827)
(12, 1, 1, (0, 0, 0), 1): (16, 16)
(12, 1, 1, (0, 0, 0), 2): (14, 14)
(12, 1, 1, (0, 0, 0), 3): (2, 2)
(12, 1, 1, (0, 0, 0), 4): (1, 1)
(12, 1, 1, (0, 0, 1), -3): (0, 1)
(12, 1, 1, (0, 0, 1), -2): (0, 3)
(12, 1, 1, (0, 0, 1), -1): (3, 12)
(12, 1, 1, (0, 0, 1), 0): (40, 46)
(12, 1, 1, (0, 0, 1), 1): (2, 2)
(12, 1, 1, (0, 1, 0), -5): (0, 2)
(12, 1, 1, (0, 1, 0), -4): (0, 4)
(12, 1, 1, (0, 1, 0), -3): (0, 4)
(12, 1, 1, (0, 1, 0), -2): (3, 13)
(12, 1, 1, (0, 1, 0), -1): (14, 35)
(12, 1, 1, (0, 1, 0), 0): (156, 227)
(12, 1, 1, (0, 1, 0), 1): (9, 9)
(12, 1, 1, (0, 1, 1), -4): (0, 1)
(12, 1, 1, (0, 1, 1), -3): (0, 2)
(12, 1, 1, (0, 1, 1), -2): (2, 3)
(12, 1, 1, (0, 1, 1), -1): (4, 5)
(12, 1, 1, (0, 1, 1), 0): (42, 51)
(12, 1, 1, (0, 1, 1), 1): (5, 5)
(12, 1, 1, (1, 0, 0), -6): (0, 3)
(12, 1, 1, (1, 0, 0), -5): (0, 3)
(12, 1, 1, (1, 0, 0), -4): (0, 6)
(12, 1, 1, (1, 0, 0), -3): (1, 10)
(12, 1, 1, (1, 0, 0), -2): (6, 38)
(12, 1, 1, (1, 0, 0), -1): (21, 78)
(12, 1, 1, (1, 0, 0), 0): (207, 341)
(12, 1, 1, (1, 0, 0), 1): (29, 29)
(12, 1, 1, (1, 0, 1), -5): (0, 1)
(12, 1, 1, (1, 0, 1), -4): (0, 2)
(12, 1, 1, (1, 0, 1), -3): (0, 1)
(12, 1, 1, (1, 0, 1), -2): (2, 4)
(12, 1, 1, (1, 0, 1), -1): (7, 9)
(12, 1, 1, (1, 0, 1), 0): (55, 71)
(12, 1, 1, (1, 0, 1), 1): (8, 8)
(12, 1, 1, (1, 1, 0), -4): (0, 5)
(12, 1, 1, (1, 1, 0), -3): (0, 3)
(12, 1, 1, (1, 1, 0), -2): (5, 12)
(12, 1, 1, (1, 1, 0), -1): (10, 29)
(12, 1, 1, (1, 1, 0), 0): (124, 181)
(12, 1, 1, (1, 1, 0), 1): (33, 33)
(12, 1, 1, (1, 1, 1), -4): (0, 2)
(12, 1, 1, (1, 1, 1), -3): (0, 3)
(12, 1, 1, (1, 1, 1), -2): (1, 3)
(12, 1, 1, (1, 1, 1), -1): (7, 9)
(12, 1, 1, (1, 1, 1), 0): (81, 99)
(12, 1, 1, (1, 1, 1), 1): (27, 27)
(12, 1, 2, (0, 0, 0), -8): (0, 1)
(12, 1, 2, (0, 0, 0), -7): (0, 1)
(12, 1, 2, (0, 0, 0), -6): (0, 1)
(12, 1, 2, (0, 0, 0), -5): (0, 1)
(12, 1, 2, (0, 0, 0), -4): (0, 11)
(12, 1, 2, (0, 0, 0), -3): (0, 29)
(12, 1, 2, (0, 0, 0), -2): (2, 56)
(12, 1, 2, (0, 0, 0), -1): (5, 131)
(12, 1, 2, (0, 0, 0), 0): (325, 594)
(12, 1, 2, (0, 0, 0), 1): (18, 18)
(12, 1, 2, (0, 0, 0), 2): (8, 8)
(12, 1, 2, (0, 0, 0), 3): (9, 9)
(12, 1, 2, (0, 0, 0), 4): (1, 1)
(12, 1, 2, (0, 0, 1), -6): (0, 1)
(12, 1, 2, (0, 0, 1), -5): (0, 1)
(12, 1, 2, (0, 0, 1), -3): (0, 1)
(12, 1, 2, (0, 0, 1), -2): (0, 2)
(12, 1, 2, (0, 0, 1), -1): (6, 17)
(12, 1, 2, (0, 0, 1), 0): (38, 53)
(12, 1, 2, (0, 0, 1), 1): (1, 1)
(12, 1, 2, (0, 1, 0), -8): (0, 1)
(12, 1, 2, (0, 1, 0), -5): (0, 1)
(12, 1, 2, (0, 1, 0), -4): (0, 2)
(12, 1, 2, (0, 1, 0), -3): (0, 2)
(12, 1, 2, (0, 1, 0), -2): (0, 13)
(12, 1, 2, (0, 1, 0), -1): (4, 25)
(12, 1, 2, (0, 1, 0), 0): (101, 158)
(12, 1, 2, (0, 1, 0), 1): (11, 11)
(12, 1, 2, (0, 1, 1), -4): (0, 2)
(12, 1, 2, (0, 1, 1), -3): (0, 2)
(12, 1, 2, (0, 1, 1), -2): (1, 3)
(12, 1, 2, (0, 1, 1), -1): (0, 5)
(12, 1, 2, (0, 1, 1), 0): (31, 49)
(12, 1, 2, (0, 1, 1), 1): (1, 1)
(12, 1, 2, (1, 0, 0), -7): (0, 1)
(12, 1, 2, (1, 0, 0), -6): (0, 4)
(12, 1, 2, (1, 0, 0), -5): (0, 2)
(12, 1, 2, (1, 0, 0), -4): (0, 7)
(12, 1, 2, (1, 0, 0), -3): (1, 14)
(12, 1, 2, (1, 0, 0), -2): (2, 34)
(12, 1, 2, (1, 0, 0), -1): (6, 60)
(12, 1, 2, (1, 0, 0), 0): (167, 294)
(12, 1, 2, (1, 0, 0), 1): (26, 26)
(12, 1, 2, (1, 0, 1), -8): (0, 1)
(12, 1, 2, (1, 0, 1), -6): (0, 1)
(12, 1, 2, (1, 0, 1), -4): (0, 1)
(12, 1, 2, (1, 0, 1), -2): (0, 6)
(12, 1, 2, (1, 0, 1), -1): (1, 6)
(12, 1, 2, (1, 0, 1), 0): (47, 75)
(12, 1, 2, (1, 0, 1), 1): (6, 6)
(12, 1, 2, (1, 1, 0), -5): (0, 2)
(12, 1, 2, (1, 1, 0), -4): (0, 5)
(12, 1, 2, (1, 1, 0), -3): (0, 7)
(12, 1, 2, (1, 1, 0), -2): (2, 12)
(12, 1, 2, (1, 1, 0), -1): (7, 30)
(12, 1, 2, (1, 1, 0), 0): (118, 186)
(12, 1, 2, (1, 1, 0), 1): (59, 59)
(12, 1, 2, (1, 1, 1), -4): (0, 2)
(12, 1, 2, (1, 1, 1), -3): (0, 3)
(12, 1, 2, (1, 1, 1), -2): (0, 3)
(12, 1, 2, (1, 1, 1), -1): (2, 6)
(12, 1, 2, (1, 1, 1), 0): (61, 94)
(12, 1, 2, (1, 1, 1), 1): (27, 27)
(13, 0, 0, (0, 0, 0), 0): (470, 969)
(13, 0, 0, (0, 0, 0), 1): (232, 235)
(13, 0, 0, (0, 0, 0), 2): (95, 95)
(13, 0, 0, (0, 0, 0), 3): (42, 42)
(13, 0, 0, (0, 0, 0), 4): (17, 17)
(13, 0, 0, (0, 0, 0), 5): (6, 6)
(13, 0, 0, (0, 0, 0), 6): (5, 5)
(13, 0, 0, (0, 0, 0), 8): (1, 1)
(13, 0, 0, (0, 0, 1), 0): (7, 9)
(13, 0, 0, (0, 0, 1), 1): (1, 1)
(13, 0, 0, (0, 0, 1), 2): (1, 1)
(13, 0, 0, (0, 1, 0), 0): (33, 48)
(13, 0, 0, (0, 1, 0), 1): (5, 5)
(13, 0, 0, (0, 1, 0), 2): (2, 2)
(13, 0, 0, (0, 1, 1), 0): (6, 8)
(13, 0, 0, (0, 1, 1), 1): (3, 3)
(13, 0, 0, (0, 1, 1), 4): (1, 1)
(13, 0, 0, (1, 0, 0), 0): (169, 267)
(13, 0, 0, (1, 0, 0), 1): (4, 4)
(13, 0, 0, (1, 0, 0), 2): (2, 2)
(13, 0, 0, (1, 0, 0), 4): (1, 1)
(13, 0, 0, (1, 0, 1), 0): (9, 12)
(13, 0, 0, (1, 0, 1), 1): (2, 2)
(13, 0, 0, (1, 0, 1), 2): (1, 1)
(13, 0, 0, (1, 1, 0), 0): (23, 33)
(13, 0, 0, (1, 1, 0), 1): (4, 4)
(13, 0, 0, (1, 1, 0), 2): (3, 3)
(13, 0, 0, (1, 1, 0), 3): (1, 1)
(13, 0, 0, (1, 1, 0), 4): (1, 1)
(13, 0, 0, (1, 1, 1), 0): (10, 11)
(13, 0, 0, (1, 1, 1), 1): (5, 5)
(13, 0, 0, (1, 1, 1), 2): (2, 2)
(13, 0, 1, (0, 0, 0), 0): (259, 651)
(13, 0, 1, (0, 0, 0), 1): (23, 31)
(13, 0, 1, (0, 0, 0), 2): (12, 12)
(13, 0, 1, (0, 0, 0), 3): (6, 6)
(13, 0, 1, (0, 0, 0), 4): (2, 2)
(13, 0, 1, (0, 0, 0), 6): (2, 2)
(13, 0, 1, (0, 0, 1), 0): (21, 32)
(13, 0, 1, (0, 0, 1), 1): (2, 2)
(13, 0, 1, (0, 0, 1), 2): (2, 2)
(13, 0, 1, (0, 0, 1), 3): (2, 2)
(13, 0, 1, (0, 1, 0), 0): (102, 163)
(13, 0, 1, (0, 1, 0), 1): (12, 18)
(13, 0, 1, (0, 1, 0), 2): (3, 3)
(13, 0, 1, (0, 1, 0), 3): (7, 7)
(13, 0, 1, (0, 1, 0), 4): (1, 1)
(13, 0, 1, (0, 1, 0), 6): (1, 1)
(13, 0, 1, (0, 1, 1), 0): (14, 19)
(13, 0, 1, (0, 1, 1), 1): (12, 14)
(13, 0, 1, (0, 1, 1), 2): (3, 4)
(13, 0, 1, (0, 1, 1), 3): (3, 3)
(13, 0, 1, (0, 1, 1), 4): (4, 4)
(13, 0, 1, (1, 0, 0), 0): (120, 255)
(13, 0, 1, (1, 0, 0), 1): (17, 23)
(13, 0, 1, (1, 0, 0), 2): (6, 6)
(13, 0, 1, (1, 0, 0), 3): (1, 1)
(13, 0, 1, (1, 0, 0), 5): (1, 1)
(13, 0, 1, (1, 0, 0), 6): (1, 1)
(13, 0, 1, (1, 0, 1), 0): (26, 40)
(13, 0, 1, (1, 0, 1), 1): (12, 13)
(13, 0, 1, (1, 0, 1), 2): (7, 7)
(13, 0, 1, (1, 0, 1), 3): (5, 5)
(13, 0, 1, (1, 1, 0), 0): (66, 109)
(13, 0, 1, (1, 1, 0), 1): (12, 15)
(13, 0, 1, (1, 1, 0), 2): (7, 8)
(13, 0, 1, (1, 1, 0), 3): (3, 3)
(13, 0, 1, (1, 1, 0), 4): (1, 1)
(13, 0, 1, (1, 1, 0), 5): (1, 1)
(13, 0, 1, (1, 1, 1), 0): (25, 29)
(13, 0, 1, (1, 1, 1), 1): (10, 13)
(13, 0, 1, (1, 1, 1), 2): (6, 8)
(13, 0, 1, (1, 1, 1), 3): (1, 1)
(13, 0, 1, (1, 1, 1), 4): (1, 1)
(13, 0, 2, (0, 0, 0), 0): (174, 472)
(13, 0, 2, (0, 0, 0), 1): (37, 41)
(13, 0, 2, (0, 0, 0), 2): (19, 21)
(13, 0, 2, (0, 0, 0), 3): (6, 6)
(13, 0, 2, (0, 0, 0), 4): (4, 4)
(13, 0, 2, (0, 0, 0), 5): (2, 2)
(13, 0, 2, (0, 0, 0), 6): (2, 2)
(13, 0, 2, (0, 0, 0), 8): (1, 1)
(13, 0, 2, (0, 0, 1), 0): (25, 51)
(13, 0, 2, (0, 0, 1), 1): (6, 11)
(13, 0, 2, (0, 0, 1), 2): (9, 9)
(13, 0, 2, (0, 0, 1), 3): (3, 3)
(13, 0, 2, (0, 0, 1), 4): (3, 3)
(13, 0, 2, (0, 0, 1), 5): (2, 2)
(13, 0, 2, (0, 1, 0), 0): (56, 110)
(13, 0, 2, (0, 1, 0), 1): (21, 28)
(13, 0, 2, (0, 1, 0), 2): (9, 12)
(13, 0, 2, (0, 1, 0), 3): (7, 7)
(13, 0, 2, (0, 1, 0), 4): (4, 4)
(13, 0, 2, (0, 1, 0), 5): (1, 1)
(13, 0, 2, (0, 1, 0), 6): (1, 1)
(13, 0, 2, (0, 1, 0), 8): (1, 1)
(13, 0, 2, (0, 1, 1), 0): (8, 26)
(13, 0, 2, (0, 1, 1), 1): (17, 21)
(13, 0, 2, (0, 1, 1), 2): (6, 6)
(13, 0, 2, (0, 1, 1), 3): (5, 6)
(13, 0, 2, (0, 1, 1), 4): (3, 3)
(13, 0, 2, (1, 0, 0), 0): (84, 214)
(13, 0, 2, (1, 0, 0), 1): (38, 47)
(13, 0, 2, (1, 0, 0), 2): (9, 10)
(13, 0, 2, (1, 0, 0), 3): (11, 11)
(13, 0, 2, (1, 0, 0), 4): (2, 2)
(13, 0, 2, (1, 0, 0), 5): (1, 1)
(13, 0, 2, (1, 0, 0), 6): (1, 1)
(13, 0, 2, (1, 0, 0), 8): (1, 1)
(13, 0, 2, (1, 0, 1), 0): (25, 45)
(13, 0, 2, (1, 0, 1), 1): (13, 18)
(13, 0, 2, (1, 0, 1), 2): (7, 8)
(13, 0, 2, (1, 0, 1), 3): (1, 1)
(13, 0, 2, (1, 0, 1), 4): (1, 1)
(13, 0, 2, (1, 0, 1), 5): (1, 1)
(13, 0, 2, (1, 0, 1), 6): (1, 1)
(13, 0, 2, (1, 0, 1), 7): (1, 1)
(13, 0, 2, (1, 1, 0), 0): (61, 116)
(13, 0, 2, (1, 1, 0), 1): (30, 33)
(13, 0, 2, (1, 1, 0), 2): (12, 13)
(13, 0, 2, (1, 1, 0), 3): (8, 8)
(13, 0, 2, (1, 1, 0), 4): (1, 1)
(13, 0, 2, (1, 1, 0), 5): (3, 3)
(13, 0, 2, (1, 1, 0), 6): (1, 1)
(13, 0, 2, (1, 1, 0), 8): (1, 1)
(13, 0, 2, (1, 1, 1), 0): (18, 31)
(13, 0, 2, (1, 1, 1), 1): (15, 17)
(13, 0, 2, (1, 1, 1), 2): (7, 9)
(13, 0, 2, (1, 1, 1), 3): (2, 2)
(13, 0, 2, (1, 1, 1), 5): (1, 1)
(13, 1, 0, (0, 0, 0), -8): (0, 1)
(13, 1, 0, (0, 0, 0), -7): (0, 1)
(13, 1, 0, (0, 0, 0), -6): (0, 5)
(13, 1, 0, (0, 0, 0), -5): (0, 5)
(13, 1, 0, (0, 0, 0), -4): (0, 15)
(13, 1, 0, (0, 0, 0), -3): (1, 26)
(13, 1, 0, (0, 0, 0), -2): (7, 62)
(13, 1, 0, (0, 0, 0), -1): (30, 140)
(13, 1, 0, (0, 0, 0), 0): (464, 720)
(13, 1, 0, (0, 0, 0), 1): (18, 18)
(13, 1, 0, (0, 0, 0), 2): (1, 1)
(13, 1, 0, (0, 0, 1), -1): (1, 1)
(13, 1, 0, (0, 0, 1), 0): (7, 8)
(13, 1, 0, (0, 1, 0), -6): (0, 1)
(13, 1, 0, (0, 1, 0), -2): (1, 2)
(13, 1, 0, (0, 1, 0), -1): (6, 8)
(13, 1, 0, (0, 1, 0), 0): (37, 45)
(13, 1, 0, (0, 1, 0), 1): (2, 2)
(13, 1, 0, (0, 1, 1), -3): (0, 1)
(13, 1, 0, (0, 1, 1), -2): (1, 2)
(13, 1, 0, (0, 1, 1), 0): (8, 9)
(13, 1, 0, (1, 0, 0), -8): (0, 1)
(13, 1, 0, (1, 0, 0), -6): (0, 2)
(13, 1, 0, (1, 0, 0), -4): (0, 2)
(13, 1, 0, (1, 0, 0), -3): (0, 9)
(13, 1, 0, (1, 0, 0), -2): (4, 18)
(13, 1, 0, (1, 0, 0), -1): (11, 38)
(13, 1, 0, (1, 0, 0), 0): (150, 197)
(13, 1, 0, (1, 0, 0), 1): (2, 2)
(13, 1, 0, (1, 0, 1), -3): (0, 1)
(13, 1, 0, (1, 0, 1), -2): (1, 2)
(13, 1, 0, (1, 0, 1), -1): (3, 3)
(13, 1, 0, (1, 0, 1), 0): (15, 17)
(13, 1, 0, (1, 0, 1), 1): (1, 1)
(13, 1, 0, (1, 1, 0), -3): (0, 2)
(13, 1, 0, (1, 1, 0), -2): (0, 7)
(13, 1, 0, (1, 1, 0), -1): (4, 7)
(13, 1, 0, (1, 1, 0), 0): (33, 34)
(13, 1, 0, (1, 1, 0), 1): (8, 8)
(13, 1, 0, (1, 1, 1), -2): (0, 1)
(13, 1, 0, (1, 1, 1), -1): (2, 2)
(13, 1, 0, (1, 1, 1), 0): (19, 20)
(13, 1, 0, (1, 1, 1), 1): (7, 7)
(13, 1, 1, (0, 0, 0), -7): (0, 1)
(13, 1, 1, (0, 0, 0), -6): (0, 2)
(13, 1, 1, (0, 0, 0), -5): (0, 5)
(13, 1, 1, (0, 0, 0), -4): (0, 13)
(13, 1, 1, (0, 0, 0), -3): (1, 18)
(13, 1, 1, (0, 0, 0), -2): (2, 42)
(13, 1, 1, (0, 0, 0), -1): (11, 94)
(13, 1, 1, (0, 0, 0), 0): (275, 481)
(13, 1, 1, (0, 0, 0), 1): (15, 15)
(13, 1, 1, (0, 0, 0), 2): (4, 4)
(13, 1, 1, (0, 0, 0), 3): (1, 1)
(13, 1, 1, (0, 0, 1), -1): (1, 4)
(13, 1, 1, (0, 0, 1), 0): (9, 13)
(13, 1, 1, (0, 0, 1), 1): (1, 1)
(13, 1, 1, (0, 1, 0), -8): (0, 1)
(13, 1, 1, (0, 1, 0), -6): (0, 1)
(13, 1, 1, (0, 1, 0), -5): (0, 1)
(13, 1, 1, (0, 1, 0), -4): (0, 1)
(13, 1, 1, (0, 1, 0), -3): (0, 2)
(13, 1, 1, (0, 1, 0), -2): (2, 5)
(13, 1, 1, (0, 1, 0), -1): (7, 15)
(13, 1, 1, (0, 1, 0), 0): (102, 136)
(13, 1, 1, (0, 1, 0), 1): (6, 6)
(13, 1, 1, (0, 1, 1), -3): (0, 1)
(13, 1, 1, (0, 1, 1), -2): (1, 4)
(13, 1, 1, (0, 1, 1), -1): (2, 4)
(13, 1, 1, (0, 1, 1), 0): (22, 23)
(13, 1, 1, (0, 1, 1), 1): (1, 1)
(13, 1, 1, (1, 0, 0), -6): (0, 3)
(13, 1, 1, (1, 0, 0), -5): (0, 3)
(13, 1, 1, (1, 0, 0), -4): (0, 5)
(13, 1, 1, (1, 0, 0), -3): (1, 8)
(13, 1, 1, (1, 0, 0), -2): (3, 16)
(13, 1, 1, (1, 0, 0), -1): (8, 39)
(13, 1, 1, (1, 0, 0), 0): (115, 188)
(13, 1, 1, (1, 0, 0), 1): (8, 8)
(13, 1, 1, (1, 0, 1), -8): (0, 1)
(13, 1, 1, (1, 0, 1), -4): (0, 1)
(13, 1, 1, (1, 0, 1), -3): (0, 1)
(13, 1, 1, (1, 0, 1), -2): (1, 2)
(13, 1, 1, (1, 0, 1), -1): (3, 4)
(13, 1, 1, (1, 0, 1), 0): (18, 23)
(13, 1, 1, (1, 0, 1), 1): (2, 2)
(13, 1, 1, (1, 1, 0), -4): (0, 1)
(13, 1, 1, (1, 1, 0), -3): (1, 5)
(13, 1, 1, (1, 1, 0), -2): (2, 4)
(13, 1, 1, (1, 1, 0), -1): (6, 15)
(13, 1, 1, (1, 1, 0), 0): (73, 98)
(13, 1, 1, (1, 1, 0), 1): (17, 17)
(13, 1, 1, (1, 1, 1), -8): (0, 1)
(13, 1, 1, (1, 1, 1), -4): (0, 1)
(13, 1, 1, (1, 1, 1), -3): (0, 1)
(13, 1, 1, (1, 1, 1), -2): (1, 2)
(13, 1, 1, (1, 1, 1), -1): (3, 4)
(13, 1, 1, (1, 1, 1), 0): (45, 51)
(13, 1, 1, (1, 1, 1), 1): (24, 24)
(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, 2)
(13, 1, 2, (0, 0, 0), -4): (0, 8)
(13, 1, 2, (0, 0, 0), -3): (0, 13)
(13, 1, 2, (0, 0, 0), -2): (0, 30)
(13, 1, 2, (0, 0, 0), -1): (5, 75)
(13, 1, 2, (0, 0, 0), 0): (180, 341)
(13, 1, 2, (0, 0, 0), 1): (10, 10)
(13, 1, 2, (0, 0, 0), 2): (8, 8)
(13, 1, 2, (0, 0, 0), 3): (5, 5)
(13, 1, 2, (0, 0, 0), 4): (1, 1)
(13, 1, 2, (0, 0, 1), -2): (0, 3)
(13, 1, 2, (0, 0, 1), -1): (1, 9)
(13, 1, 2, (0, 0, 1), 0): (19, 31)
(13, 1, 2, (0, 0, 1), 1): (1, 1)
(13, 1, 2, (0, 1, 0), -5): (0, 3)
(13, 1, 2, (0, 1, 0), -4): (0, 2)
(13, 1, 2, (0, 1, 0), -3): (0, 2)
(13, 1, 2, (0, 1, 0), -2): (0, 4)
(13, 1, 2, (0, 1, 0), -1): (2, 13)
(13, 1, 2, (0, 1, 0), 0): (67, 96)
(13, 1, 2, (0, 1, 0), 1): (7, 7)
(13, 1, 2, (0, 1, 1), -5): (0, 1)
(13, 1, 2, (0, 1, 1), -4): (0, 1)
(13, 1, 2, (0, 1, 1), -3): (0, 1)
(13, 1, 2, (0, 1, 1), -2): (0, 2)
(13, 1, 2, (0, 1, 1), -1): (0, 3)
(13, 1, 2, (0, 1, 1), 0): (11, 15)
(13, 1, 2, (0, 1, 1), 1): (3, 3)
(13, 1, 2, (1, 0, 0), -6): (0, 4)
(13, 1, 2, (1, 0, 0), -5): (0, 2)
(13, 1, 2, (1, 0, 0), -4): (0, 5)
(13, 1, 2, (1, 0, 0), -3): (0, 7)
(13, 1, 2, (1, 0, 0), -2): (0, 16)
(13, 1, 2, (1, 0, 0), -1): (6, 46)
(13, 1, 2, (1, 0, 0), 0): (93, 171)
(13, 1, 2, (1, 0, 0), 1): (21, 21)
(13, 1, 2, (1, 0, 1), -4): (0, 1)
(13, 1, 2, (1, 0, 1), -3): (0, 1)
(13, 1, 2, (1, 0, 1), -2): (2, 6)
(13, 1, 2, (1, 0, 1), -1): (2, 6)
(13, 1, 2, (1, 0, 1), 0): (28, 42)
(13, 1, 2, (1, 0, 1), 1): (4, 4)
(13, 1, 2, (1, 1, 0), -6): (0, 1)
(13, 1, 2, (1, 1, 0), -5): (0, 2)
(13, 1, 2, (1, 1, 0), -3): (1, 3)
(13, 1, 2, (1, 1, 0), -2): (0, 4)
(13, 1, 2, (1, 1, 0), -1): (3, 17)
(13, 1, 2, (1, 1, 0), 0): (79, 111)
(13, 1, 2, (1, 1, 0), 1): (29, 29)
(13, 1, 2, (1, 1, 1), -3): (0, 1)
(13, 1, 2, (1, 1, 1), -2): (1, 2)
(13, 1, 2, (1, 1, 1), -1): (2, 3)
(13, 1, 2, (1, 1, 1), 0): (40, 54)
(13, 1, 2, (1, 1, 1), 1): (12, 12)
(14, 0, 0, (0, 0, 0), 0): (269, 549)
(14, 0, 0, (0, 0, 0), 1): (126, 126)
(14, 0, 0, (0, 0, 0), 2): (42, 42)
(14, 0, 0, (0, 0, 0), 3): (24, 24)
(14, 0, 0, (0, 0, 0), 4): (14, 14)
(14, 0, 0, (0, 0, 0), 5): (6, 6)
(14, 0, 0, (0, 0, 0), 6): (4, 4)
(14, 0, 0, (0, 0, 0), 7): (1, 1)
(14, 0, 0, (0, 0, 0), 8): (1, 1)
(14, 0, 0, (0, 0, 1), 0): (2, 4)
(14, 0, 0, (0, 1, 0), 0): (22, 38)
(14, 0, 0, (0, 1, 0), 1): (4, 4)
(14, 0, 0, (0, 1, 0), 6): (1, 1)
(14, 0, 0, (0, 1, 1), 0): (1, 3)
(14, 0, 0, (0, 1, 1), 1): (3, 3)
(14, 0, 0, (0, 1, 1), 4): (1, 1)
(14, 0, 0, (1, 0, 0), 0): (78, 145)
(14, 0, 0, (1, 0, 0), 1): (3, 3)
(14, 0, 0, (1, 0, 0), 2): (1, 1)
(14, 0, 0, (1, 0, 1), 0): (8, 12)
(14, 0, 0, (1, 0, 1), 1): (1, 1)
(14, 0, 0, (1, 1, 0), 0): (15, 23)
(14, 0, 0, (1, 1, 0), 1): (4, 6)
(14, 0, 0, (1, 1, 0), 2): (1, 3)
(14, 0, 0, (1, 1, 0), 4): (1, 1)
(14, 0, 0, (1, 1, 1), 0): (3, 4)
(14, 0, 0, (1, 1, 1), 1): (3, 3)
(14, 0, 0, (1, 1, 1), 2): (2, 2)
(14, 0, 1, (0, 0, 0), 0): (161, 365)
(14, 0, 1, (0, 0, 0), 1): (14, 14)
(14, 0, 1, (0, 0, 0), 2): (4, 4)
(14, 0, 1, (0, 0, 0), 3): (2, 2)
(14, 0, 1, (0, 0, 0), 4): (2, 2)
(14, 0, 1, (0, 0, 0), 7): (1, 1)
(14, 0, 1, (0, 0, 1), 0): (10, 19)
(14, 0, 1, (0, 0, 1), 1): (3, 3)
(14, 0, 1, (0, 0, 1), 2): (1, 1)
(14, 0, 1, (0, 0, 1), 5): (1, 1)
(14, 0, 1, (0, 1, 0), 0): (63, 115)
(14, 0, 1, (0, 1, 0), 1): (10, 10)
(14, 0, 1, (0, 1, 0), 2): (5, 5)
(14, 0, 1, (0, 1, 0), 4): (1, 1)
(14, 0, 1, (0, 1, 0), 5): (2, 2)
(14, 0, 1, (0, 1, 0), 6): (1, 1)
(14, 0, 1, (0, 1, 1), 0): (7, 14)
(14, 0, 1, (0, 1, 1), 1): (8, 8)
(14, 0, 1, (0, 1, 1), 2): (4, 4)
(14, 0, 1, (0, 1, 1), 4): (1, 1)
(14, 0, 1, (1, 0, 0), 0): (64, 122)
(14, 0, 1, (1, 0, 0), 1): (8, 9)
(14, 0, 1, (1, 0, 0), 2): (2, 2)
(14, 0, 1, (1, 0, 0), 3): (4, 4)
(14, 0, 1, (1, 0, 1), 0): (23, 36)
(14, 0, 1, (1, 0, 1), 1): (10, 12)
(14, 0, 1, (1, 0, 1), 2): (4, 4)
(14, 0, 1, (1, 0, 1), 3): (1, 1)
(14, 0, 1, (1, 0, 1), 4): (1, 1)
(14, 0, 1, (1, 0, 1), 5): (1, 1)
(14, 0, 1, (1, 0, 1), 6): (1, 1)
(14, 0, 1, (1, 1, 0), 0): (40, 65)
(14, 0, 1, (1, 1, 0), 1): (9, 14)
(14, 0, 1, (1, 1, 0), 2): (4, 6)
(14, 0, 1, (1, 1, 0), 3): (5, 5)
(14, 0, 1, (1, 1, 0), 4): (1, 1)
(14, 0, 1, (1, 1, 1), 0): (17, 23)
(14, 0, 1, (1, 1, 1), 1): (12, 13)
(14, 0, 1, (1, 1, 1), 2): (5, 5)
(14, 0, 1, (1, 1, 1), 3): (1, 1)
(14, 0, 1, (1, 1, 1), 4): (2, 2)
(14, 0, 2, (0, 0, 0), 0): (99, 259)
(14, 0, 2, (0, 0, 0), 1): (18, 18)
(14, 0, 2, (0, 0, 0), 2): (7, 7)
(14, 0, 2, (0, 0, 0), 3): (3, 4)
(14, 0, 2, (0, 0, 0), 4): (4, 4)
(14, 0, 2, (0, 0, 0), 5): (1, 1)
(14, 0, 2, (0, 0, 0), 7): (2, 2)
(14, 0, 2, (0, 0, 1), 0): (15, 29)
(14, 0, 2, (0, 0, 1), 1): (4, 4)
(14, 0, 2, (0, 0, 1), 2): (3, 4)
(14, 0, 2, (0, 0, 1), 3): (2, 2)
(14, 0, 2, (0, 0, 1), 4): (1, 1)
(14, 0, 2, (0, 0, 1), 5): (1, 1)
(14, 0, 2, (0, 1, 0), 0): (32, 82)
(14, 0, 2, (0, 1, 0), 1): (14, 16)
(14, 0, 2, (0, 1, 0), 2): (7, 7)
(14, 0, 2, (0, 1, 0), 3): (7, 7)
(14, 0, 2, (0, 1, 0), 4): (2, 2)
(14, 0, 2, (0, 1, 0), 5): (3, 3)
(14, 0, 2, (0, 1, 0), 6): (1, 1)
(14, 0, 2, (0, 1, 1), 0): (7, 17)
(14, 0, 2, (0, 1, 1), 1): (9, 10)
(14, 0, 2, (0, 1, 1), 2): (4, 5)
(14, 0, 2, (0, 1, 1), 3): (1, 1)
(14, 0, 2, (0, 1, 1), 4): (1, 1)
(14, 0, 2, (1, 0, 0), 0): (54, 120)
(14, 0, 2, (1, 0, 0), 1): (20, 22)
(14, 0, 2, (1, 0, 0), 2): (2, 2)
(14, 0, 2, (1, 0, 0), 3): (5, 5)
(14, 0, 2, (1, 0, 0), 4): (1, 1)
(14, 0, 2, (1, 0, 0), 5): (1, 1)
(14, 0, 2, (1, 0, 0), 7): (1, 1)
(14, 0, 2, (1, 0, 1), 0): (25, 40)
(14, 0, 2, (1, 0, 1), 1): (9, 10)
(14, 0, 2, (1, 0, 1), 2): (4, 4)
(14, 0, 2, (1, 0, 1), 3): (3, 3)
(14, 0, 2, (1, 0, 1), 4): (1, 1)
(14, 0, 2, (1, 0, 1), 5): (1, 1)
(14, 0, 2, (1, 1, 0), 0): (18, 62)
(14, 0, 2, (1, 1, 0), 1): (17, 23)
(14, 0, 2, (1, 1, 0), 2): (4, 5)
(14, 0, 2, (1, 1, 0), 3): (3, 4)
(14, 0, 2, (1, 1, 0), 4): (2, 2)
(14, 0, 2, (1, 1, 0), 5): (1, 1)
(14, 0, 2, (1, 1, 0), 6): (2, 2)
(14, 0, 2, (1, 1, 1), 0): (8, 22)
(14, 0, 2, (1, 1, 1), 1): (9, 11)
(14, 0, 2, (1, 1, 1), 2): (2, 2)
(14, 0, 2, (1, 1, 1), 3): (1, 1)
(14, 0, 2, (1, 1, 1), 4): (1, 1)
(14, 0, 2, (1, 1, 1), 5): (1, 1)
(14, 0, 2, (1, 1, 1), 6): (1, 1)
(14, 1, 0, (0, 0, 0), -7): (0, 3)
(14, 1, 0, (0, 0, 0), -6): (0, 2)
(14, 1, 0, (0, 0, 0), -5): (0, 7)
(14, 1, 0, (0, 0, 0), -4): (0, 9)
(14, 1, 0, (0, 0, 0), -3): (2, 15)
(14, 1, 0, (0, 0, 0), -2): (4, 28)
(14, 1, 0, (0, 0, 0), -1): (13, 85)
(14, 1, 0, (0, 0, 0), 0): (262, 404)
(14, 1, 0, (0, 0, 0), 1): (4, 4)
(14, 1, 0, (0, 0, 0), 2): (1, 1)
(14, 1, 0, (0, 0, 0), 4): (1, 1)
(14, 1, 0, (0, 0, 1), -1): (0, 2)
(14, 1, 0, (0, 0, 1), 0): (4, 4)
(14, 1, 0, (0, 1, 0), -3): (0, 1)
(14, 1, 0, (0, 1, 0), -1): (1, 7)
(14, 1, 0, (0, 1, 0), 0): (25, 28)
(14, 1, 0, (0, 1, 0), 1): (1, 1)
(14, 1, 0, (0, 1, 1), -3): (0, 1)
(14, 1, 0, (0, 1, 1), -1): (2, 2)
(14, 1, 0, (0, 1, 1), 0): (5, 5)
(14, 1, 0, (0, 1, 1), 1): (2, 2)
(14, 1, 0, (1, 0, 0), -7): (0, 1)
(14, 1, 0, (1, 0, 0), -5): (0, 3)
(14, 1, 0, (1, 0, 0), -4): (0, 4)
(14, 1, 0, (1, 0, 0), -3): (2, 6)
(14, 1, 0, (1, 0, 0), -2): (2, 3)
(14, 1, 0, (1, 0, 0), -1): (7, 27)
(14, 1, 0, (1, 0, 0), 0): (88, 121)
(14, 1, 0, (1, 0, 1), -1): (1, 3)
(14, 1, 0, (1, 0, 1), 0): (7, 7)
(14, 1, 0, (1, 1, 0), -7): (0, 1)
(14, 1, 0, (1, 1, 0), -2): (2, 2)
(14, 1, 0, (1, 1, 0), -1): (2, 3)
(14, 1, 0, (1, 1, 0), 0): (14, 19)
(14, 1, 0, (1, 1, 0), 1): (1, 1)
(14, 1, 0, (1, 1, 1), -2): (1, 1)
(14, 1, 0, (1, 1, 1), -1): (3, 3)
(14, 1, 0, (1, 1, 1), 0): (10, 10)
(14, 1, 0, (1, 1, 1), 1): (3, 3)
(14, 1, 1, (0, 0, 0), -7): (0, 2)
(14, 1, 1, (0, 0, 0), -6): (0, 1)
(14, 1, 1, (0, 0, 0), -5): (0, 4)
(14, 1, 1, (0, 0, 0), -4): (0, 5)
(14, 1, 1, (0, 0, 0), -3): (0, 8)
(14, 1, 1, (0, 0, 0), -2): (2, 25)
(14, 1, 1, (0, 0, 0), -1): (5, 52)
(14, 1, 1, (0, 0, 0), 0): (155, 268)
(14, 1, 1, (0, 0, 0), 1): (5, 5)
(14, 1, 1, (0, 0, 0), 2): (1, 1)
(14, 1, 1, (0, 0, 0), 3): (2, 2)
(14, 1, 1, (0, 0, 0), 4): (1, 1)
(14, 1, 1, (0, 0, 1), -3): (0, 1)
(14, 1, 1, (0, 0, 1), -1): (1, 4)
(14, 1, 1, (0, 0, 1), 0): (15, 18)
(14, 1, 1, (0, 0, 1), 1): (1, 1)
(14, 1, 1, (0, 1, 0), -3): (0, 1)
(14, 1, 1, (0, 1, 0), -2): (1, 2)
(14, 1, 1, (0, 1, 0), -1): (3, 19)
(14, 1, 1, (0, 1, 0), 0): (58, 78)
(14, 1, 1, (0, 1, 0), 1): (1, 1)
(14, 1, 1, (0, 1, 1), -3): (0, 1)
(14, 1, 1, (0, 1, 1), -1): (2, 3)
(14, 1, 1, (0, 1, 1), 0): (16, 18)
(14, 1, 1, (0, 1, 1), 1): (2, 2)
(14, 1, 1, (1, 0, 0), -5): (0, 3)
(14, 1, 1, (1, 0, 0), -4): (0, 4)
(14, 1, 1, (1, 0, 0), -3): (2, 5)
(14, 1, 1, (1, 0, 0), -2): (1, 11)
(14, 1, 1, (1, 0, 0), -1): (2, 12)
(14, 1, 1, (1, 0, 0), 0): (72, 106)
(14, 1, 1, (1, 0, 0), 1): (9, 9)
(14, 1, 1, (1, 0, 1), -3): (1, 1)
(14, 1, 1, (1, 0, 1), -2): (1, 1)
(14, 1, 1, (1, 0, 1), -1): (1, 3)
(14, 1, 1, (1, 0, 1), 0): (19, 21)
(14, 1, 1, (1, 0, 1), 1): (1, 1)
(14, 1, 1, (1, 1, 0), -4): (0, 1)
(14, 1, 1, (1, 1, 0), -3): (1, 2)
(14, 1, 1, (1, 1, 0), -2): (2, 3)
(14, 1, 1, (1, 1, 0), -1): (2, 6)
(14, 1, 1, (1, 1, 0), 0): (44, 66)
(14, 1, 1, (1, 1, 0), 1): (15, 15)
(14, 1, 1, (1, 1, 1), -3): (1, 1)
(14, 1, 1, (1, 1, 1), -2): (3, 3)
(14, 1, 1, (1, 1, 1), -1): (1, 2)
(14, 1, 1, (1, 1, 1), 0): (24, 27)
(14, 1, 1, (1, 1, 1), 1): (14, 14)
(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, 4)
(14, 1, 2, (0, 0, 0), -4): (0, 5)
(14, 1, 2, (0, 0, 0), -3): (0, 7)
(14, 1, 2, (0, 0, 0), -2): (0, 14)
(14, 1, 2, (0, 0, 0), -1): (1, 37)
(14, 1, 2, (0, 0, 0), 0): (102, 195)
(14, 1, 2, (0, 0, 0), 1): (4, 4)
(14, 1, 2, (0, 0, 0), 2): (4, 4)
(14, 1, 2, (0, 0, 0), 3): (1, 1)
(14, 1, 2, (0, 0, 0), 4): (1, 1)
(14, 1, 2, (0, 0, 1), -7): (0, 1)
(14, 1, 2, (0, 0, 1), -2): (0, 1)
(14, 1, 2, (0, 0, 1), -1): (1, 7)
(14, 1, 2, (0, 0, 1), 0): (12, 16)
(14, 1, 2, (0, 0, 1), 1): (1, 1)
(14, 1, 2, (0, 1, 0), -7): (0, 1)
(14, 1, 2, (0, 1, 0), -4): (0, 2)
(14, 1, 2, (0, 1, 0), -3): (0, 2)
(14, 1, 2, (0, 1, 0), -2): (0, 2)
(14, 1, 2, (0, 1, 0), -1): (0, 13)
(14, 1, 2, (0, 1, 0), 0): (44, 61)
(14, 1, 2, (0, 1, 0), 1): (3, 3)
(14, 1, 2, (0, 1, 1), -3): (0, 2)
(14, 1, 2, (0, 1, 1), -1): (2, 2)
(14, 1, 2, (0, 1, 1), 0): (18, 20)
(14, 1, 2, (1, 0, 0), -6): (0, 1)
(14, 1, 2, (1, 0, 0), -5): (0, 4)
(14, 1, 2, (1, 0, 0), -4): (0, 3)
(14, 1, 2, (1, 0, 0), -3): (0, 6)
(14, 1, 2, (1, 0, 0), -2): (0, 8)
(14, 1, 2, (1, 0, 0), -1): (2, 14)
(14, 1, 2, (1, 0, 0), 0): (63, 101)
(14, 1, 2, (1, 0, 0), 1): (15, 15)
(14, 1, 2, (1, 0, 1), -2): (0, 1)
(14, 1, 2, (1, 0, 1), -1): (2, 3)
(14, 1, 2, (1, 0, 1), 0): (21, 32)
(14, 1, 2, (1, 0, 1), 1): (1, 1)
(14, 1, 2, (1, 1, 0), -4): (0, 2)
(14, 1, 2, (1, 1, 0), -3): (0, 2)
(14, 1, 2, (1, 1, 0), -2): (0, 2)
(14, 1, 2, (1, 1, 0), -1): (0, 5)
(14, 1, 2, (1, 1, 0), 0): (47, 77)
(14, 1, 2, (1, 1, 0), 1): (22, 22)
(14, 1, 2, (1, 1, 1), -3): (0, 1)
(14, 1, 2, (1, 1, 1), -2): (1, 2)
(14, 1, 2, (1, 1, 1), -1): (2, 2)
(14, 1, 2, (1, 1, 1), 0): (19, 31)
(14, 1, 2, (1, 1, 1), 1): (15, 15)
(15, 0, 0, (0, 0, 0), 0): (150, 298)
(15, 0, 0, (0, 0, 0), 1): (65, 66)
(15, 0, 0, (0, 0, 0), 2): (27, 27)
(15, 0, 0, (0, 0, 0), 3): (10, 10)
(15, 0, 0, (0, 0, 0), 4): (8, 8)
(15, 0, 0, (0, 0, 0), 5): (7, 7)
(15, 0, 0, (0, 0, 0), 6): (2, 2)
(15, 0, 0, (0, 0, 0), 7): (2, 2)
(15, 0, 0, (0, 0, 1), 0): (3, 3)
(15, 0, 0, (0, 0, 1), 1): (2, 2)
(15, 0, 0, (0, 1, 0), 0): (13, 17)
(15, 0, 0, (0, 1, 0), 1): (2, 2)
(15, 0, 0, (0, 1, 1), 0): (3, 3)
(15, 0, 0, (1, 0, 0), 0): (49, 81)
(15, 0, 0, (1, 0, 0), 1): (2, 2)
(15, 0, 0, (1, 0, 1), 0): (3, 5)
(15, 0, 0, (1, 1, 0), 0): (11, 17)
(15, 0, 0, (1, 1, 1), 0): (1, 2)
(15, 0, 1, (0, 0, 0), 0): (89, 201)
(15, 0, 1, (0, 0, 0), 1): (4, 5)
(15, 0, 1, (0, 0, 0), 2): (3, 3)
(15, 0, 1, (0, 0, 1), 0): (4, 5)
(15, 0, 1, (0, 0, 1), 1): (3, 3)
(15, 0, 1, (0, 0, 1), 3): (1, 1)
(15, 0, 1, (0, 1, 0), 0): (25, 42)
(15, 0, 1, (0, 1, 0), 1): (7, 7)
(15, 0, 1, (0, 1, 0), 2): (2, 2)
(15, 0, 1, (0, 1, 0), 10): (1, 1)
(15, 0, 1, (0, 1, 1), 0): (8, 10)
(15, 0, 1, (0, 1, 1), 1): (2, 2)
(15, 0, 1, (0, 1, 1), 2): (3, 3)
(15, 0, 1, (1, 0, 0), 0): (41, 78)
(15, 0, 1, (1, 0, 0), 1): (3, 3)
(15, 0, 1, (1, 0, 0), 2): (3, 3)
(15, 0, 1, (1, 0, 1), 0): (11, 15)
(15, 0, 1, (1, 0, 1), 1): (5, 6)
(15, 0, 1, (1, 0, 1), 2): (3, 3)
(15, 0, 1, (1, 0, 1), 3): (2, 2)
(15, 0, 1, (1, 0, 1), 6): (1, 1)
(15, 0, 1, (1, 0, 1), 7): (1, 1)
(15, 0, 1, (1, 1, 0), 0): (20, 31)
(15, 0, 1, (1, 1, 0), 1): (10, 11)
(15, 0, 1, (1, 1, 0), 2): (3, 3)
(15, 0, 1, (1, 1, 0), 4): (1, 1)
(15, 0, 1, (1, 1, 0), 8): (1, 1)
(15, 0, 1, (1, 1, 1), 0): (9, 10)
(15, 0, 1, (1, 1, 1), 1): (5, 5)
(15, 0, 1, (1, 1, 1), 2): (1, 1)
(15, 0, 1, (1, 1, 1), 4): (1, 1)
(15, 0, 2, (0, 0, 0), 0): (57, 148)
(15, 0, 2, (0, 0, 0), 1): (6, 7)
(15, 0, 2, (0, 0, 0), 2): (3, 3)
(15, 0, 2, (0, 0, 0), 3): (2, 2)
(15, 0, 2, (0, 0, 1), 0): (7, 12)
(15, 0, 2, (0, 0, 1), 1): (2, 2)
(15, 0, 2, (0, 0, 1), 3): (1, 1)
(15, 0, 2, (0, 0, 1), 5): (1, 1)
(15, 0, 2, (0, 1, 0), 0): (17, 37)
(15, 0, 2, (0, 1, 0), 1): (7, 8)
(15, 0, 2, (0, 1, 0), 2): (2, 4)
(15, 0, 2, (0, 1, 0), 3): (2, 3)
(15, 0, 2, (0, 1, 0), 4): (1, 1)
(15, 0, 2, (0, 1, 0), 10): (1, 1)
(15, 0, 2, (0, 1, 0), 11): (1, 1)
(15, 0, 2, (0, 1, 1), 0): (5, 11)
(15, 0, 2, (0, 1, 1), 1): (5, 5)
(15, 0, 2, (0, 1, 1), 2): (5, 5)
(15, 0, 2, (0, 1, 1), 3): (1, 1)
(15, 0, 2, (1, 0, 0), 0): (32, 77)
(15, 0, 2, (1, 0, 0), 1): (3, 5)
(15, 0, 2, (1, 0, 0), 2): (6, 6)
(15, 0, 2, (1, 0, 0), 3): (0, 1)
(15, 0, 2, (1, 0, 0), 12): (1, 1)
(15, 0, 2, (1, 0, 1), 0): (12, 21)
(15, 0, 2, (1, 0, 1), 1): (8, 9)
(15, 0, 2, (1, 0, 1), 2): (3, 3)
(15, 0, 2, (1, 0, 1), 3): (1, 2)
(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): (12, 37)
(15, 0, 2, (1, 1, 0), 1): (12, 13)
(15, 0, 2, (1, 1, 0), 2): (2, 2)
(15, 0, 2, (1, 1, 0), 3): (2, 2)
(15, 0, 2, (1, 1, 1), 0): (4, 8)
(15, 0, 2, (1, 1, 1), 1): (6, 8)
(15, 0, 2, (1, 1, 1), 2): (5, 5)
(15, 1, 0, (0, 0, 0), -12): (0, 1)
(15, 1, 0, (0, 0, 0), -5): (0, 2)
(15, 1, 0, (0, 0, 0), -4): (0, 2)
(15, 1, 0, (0, 0, 0), -3): (1, 10)
(15, 1, 0, (0, 0, 0), -2): (1, 19)
(15, 1, 0, (0, 0, 0), -1): (4, 37)
(15, 1, 0, (0, 0, 0), 0): (142, 228)
(15, 1, 0, (0, 0, 0), 1): (4, 4)
(15, 1, 0, (0, 0, 1), 0): (3, 4)
(15, 1, 0, (0, 0, 1), 1): (1, 1)
(15, 1, 0, (0, 1, 0), -4): (0, 1)
(15, 1, 0, (0, 1, 0), -1): (2, 2)
(15, 1, 0, (0, 1, 0), 0): (8, 14)
(15, 1, 0, (0, 1, 1), -3): (1, 1)
(15, 1, 0, (0, 1, 1), -2): (1, 1)
(15, 1, 0, (0, 1, 1), 0): (3, 3)
(15, 1, 0, (1, 0, 0), -4): (0, 1)
(15, 1, 0, (1, 0, 0), -3): (1, 3)
(15, 1, 0, (1, 0, 0), -2): (1, 5)
(15, 1, 0, (1, 0, 0), -1): (0, 8)
(15, 1, 0, (1, 0, 0), 0): (50, 69)
(15, 1, 0, (1, 0, 1), 0): (4, 4)
(15, 1, 0, (1, 1, 0), -2): (1, 1)
(15, 1, 0, (1, 1, 0), 0): (9, 11)
(15, 1, 0, (1, 1, 0), 1): (3, 3)
(15, 1, 0, (1, 1, 1), 0): (6, 6)
(15, 1, 1, (0, 0, 0), -12): (0, 1)
(15, 1, 1, (0, 0, 0), -5): (0, 2)
(15, 1, 1, (0, 0, 0), -3): (0, 7)
(15, 1, 1, (0, 0, 0), -2): (0, 13)
(15, 1, 1, (0, 0, 0), -1): (2, 27)
(15, 1, 1, (0, 0, 0), 0): (80, 144)
(15, 1, 1, (0, 0, 0), 1): (1, 1)
(15, 1, 1, (0, 0, 0), 2): (1, 1)
(15, 1, 1, (0, 0, 1), -2): (1, 1)
(15, 1, 1, (0, 0, 1), -1): (2, 2)
(15, 1, 1, (0, 0, 1), 0): (6, 8)
(15, 1, 1, (0, 1, 0), -5): (0, 1)
(15, 1, 1, (0, 1, 0), -4): (0, 1)
(15, 1, 1, (0, 1, 0), -3): (0, 1)
(15, 1, 1, (0, 1, 0), -2): (0, 2)
(15, 1, 1, (0, 1, 0), -1): (1, 7)
(15, 1, 1, (0, 1, 0), 0): (35, 52)
(15, 1, 1, (0, 1, 0), 1): (2, 2)
(15, 1, 1, (0, 1, 1), -4): (0, 1)
(15, 1, 1, (0, 1, 1), -2): (0, 1)
(15, 1, 1, (0, 1, 1), 0): (1, 2)
(15, 1, 1, (0, 1, 1), 1): (1, 1)
(15, 1, 1, (1, 0, 0), -4): (0, 1)
(15, 1, 1, (1, 0, 0), -3): (0, 3)
(15, 1, 1, (1, 0, 0), -2): (0, 6)
(15, 1, 1, (1, 0, 0), -1): (0, 10)
(15, 1, 1, (1, 0, 0), 0): (34, 50)
(15, 1, 1, (1, 0, 0), 1): (4, 4)
(15, 1, 1, (1, 0, 1), 0): (5, 8)
(15, 1, 1, (1, 1, 0), -3): (0, 2)
(15, 1, 1, (1, 1, 0), -2): (0, 4)
(15, 1, 1, (1, 1, 0), -1): (0, 4)
(15, 1, 1, (1, 1, 0), 0): (25, 34)
(15, 1, 1, (1, 1, 0), 1): (8, 8)
(15, 1, 1, (1, 1, 1), -2): (0, 2)
(15, 1, 1, (1, 1, 1), 0): (6, 10)
(15, 1, 1, (1, 1, 1), 1): (1, 1)
(15, 1, 2, (0, 0, 0), -12): (0, 1)
(15, 1, 2, (0, 0, 0), -5): (0, 1)
(15, 1, 2, (0, 0, 0), -3): (0, 5)
(15, 1, 2, (0, 0, 0), -2): (0, 10)
(15, 1, 2, (0, 0, 0), -1): (3, 22)
(15, 1, 2, (0, 0, 0), 0): (58, 109)
(15, 1, 2, (0, 0, 0), 1): (5, 5)
(15, 1, 2, (0, 0, 0), 2): (2, 2)
(15, 1, 2, (0, 0, 1), -1): (2, 6)
(15, 1, 2, (0, 0, 1), 0): (7, 10)
(15, 1, 2, (0, 1, 0), -5): (0, 1)
(15, 1, 2, (0, 1, 0), -4): (0, 1)
(15, 1, 2, (0, 1, 0), -3): (0, 1)
(15, 1, 2, (0, 1, 0), -2): (0, 2)
(15, 1, 2, (0, 1, 0), -1): (0, 5)
(15, 1, 2, (0, 1, 0), 0): (20, 31)
(15, 1, 2, (0, 1, 0), 1): (2, 2)
(15, 1, 2, (0, 1, 1), -4): (0, 1)
(15, 1, 2, (0, 1, 1), -3): (0, 1)
(15, 1, 2, (0, 1, 1), 0): (9, 10)
(15, 1, 2, (1, 0, 0), -3): (0, 4)
(15, 1, 2, (1, 0, 0), -2): (0, 6)
(15, 1, 2, (1, 0, 0), -1): (3, 12)
(15, 1, 2, (1, 0, 0), 0): (24, 47)
(15, 1, 2, (1, 0, 0), 1): (2, 2)
(15, 1, 2, (1, 0, 1), -2): (0, 1)
(15, 1, 2, (1, 0, 1), -1): (2, 4)
(15, 1, 2, (1, 0, 1), 0): (11, 18)
(15, 1, 2, (1, 0, 1), 1): (3, 3)
(15, 1, 2, (1, 1, 0), -3): (0, 1)
(15, 1, 2, (1, 1, 0), -2): (0, 2)
(15, 1, 2, (1, 1, 0), -1): (0, 5)
(15, 1, 2, (1, 1, 0), 0): (26, 34)
(15, 1, 2, (1, 1, 0), 1): (10, 10)
(15, 1, 2, (1, 1, 1), -2): (0, 1)
(15, 1, 2, (1, 1, 1), -1): (1, 1)
(15, 1, 2, (1, 1, 1), 0): (12, 20)
(15, 1, 2, (1, 1, 1), 1): (8, 8)
(16, 0, 0, (0, 0, 0), 0): (86, 176)
(16, 0, 0, (0, 0, 0), 1): (39, 39)
(16, 0, 0, (0, 0, 0), 2): (17, 17)
(16, 0, 0, (0, 0, 0), 3): (9, 9)
(16, 0, 0, (0, 0, 0), 4): (1, 1)
(16, 0, 0, (0, 0, 0), 5): (2, 2)
(16, 0, 0, (0, 0, 0), 12): (1, 1)
(16, 0, 0, (0, 0, 1), 0): (2, 2)
(16, 0, 0, (0, 1, 0), 0): (5, 6)
(16, 0, 0, (0, 1, 1), 0): (1, 1)
(16, 0, 0, (1, 0, 0), 0): (20, 37)
(16, 0, 0, (1, 0, 0), 2): (1, 1)
(16, 0, 0, (1, 0, 1), 0): (3, 3)
(16, 0, 0, (1, 1, 0), 0): (4, 6)
(16, 0, 0, (1, 1, 0), 2): (1, 1)
(16, 0, 0, (1, 1, 0), 3): (1, 1)
(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): (58, 132)
(16, 0, 1, (0, 0, 0), 1): (7, 8)
(16, 0, 1, (0, 0, 0), 2): (1, 1)
(16, 0, 1, (0, 0, 0), 3): (1, 1)
(16, 0, 1, (0, 0, 1), 0): (4, 4)
(16, 0, 1, (0, 0, 1), 2): (1, 1)
(16, 0, 1, (0, 0, 1), 3): (1, 1)
(16, 0, 1, (0, 0, 1), 5): (1, 1)
(16, 0, 1, (0, 1, 0), 0): (14, 26)
(16, 0, 1, (0, 1, 0), 1): (1, 2)
(16, 0, 1, (0, 1, 0), 3): (1, 1)
(16, 0, 1, (0, 1, 0), 4): (1, 1)
(16, 0, 1, (0, 1, 1), 0): (4, 5)
(16, 0, 1, (0, 1, 1), 2): (1, 1)
(16, 0, 1, (1, 0, 0), 0): (18, 44)
(16, 0, 1, (1, 0, 0), 1): (4, 5)
(16, 0, 1, (1, 0, 0), 2): (1, 1)
(16, 0, 1, (1, 0, 1), 0): (7, 12)
(16, 0, 1, (1, 0, 1), 1): (2, 2)
(16, 0, 1, (1, 0, 1), 2): (1, 1)
(16, 0, 1, (1, 0, 1), 3): (1, 1)
(16, 0, 1, (1, 0, 1), 5): (1, 1)
(16, 0, 1, (1, 1, 0), 0): (8, 15)
(16, 0, 1, (1, 1, 0), 1): (6, 7)
(16, 0, 1, (1, 1, 0), 2): (2, 2)
(16, 0, 1, (1, 1, 0), 4): (1, 1)
(16, 0, 1, (1, 1, 1), 0): (5, 5)
(16, 0, 1, (1, 1, 1), 1): (1, 1)
(16, 0, 2, (0, 0, 0), 0): (38, 91)
(16, 0, 2, (0, 0, 0), 1): (5, 5)
(16, 0, 2, (0, 0, 0), 2): (2, 2)
(16, 0, 2, (0, 0, 1), 0): (1, 3)
(16, 0, 2, (0, 0, 1), 1): (1, 1)
(16, 0, 2, (0, 0, 1), 2): (1, 1)
(16, 0, 2, (0, 0, 1), 3): (2, 2)
(16, 0, 2, (0, 0, 1), 5): (1, 1)
(16, 0, 2, (0, 1, 0), 0): (11, 19)
(16, 0, 2, (0, 1, 0), 1): (2, 5)
(16, 0, 2, (0, 1, 0), 3): (2, 2)
(16, 0, 2, (0, 1, 0), 4): (1, 1)
(16, 0, 2, (0, 1, 1), 0): (0, 1)
(16, 0, 2, (0, 1, 1), 1): (1, 1)
(16, 0, 2, (0, 1, 1), 2): (2, 2)
(16, 0, 2, (0, 1, 1), 4): (1, 1)
(16, 0, 2, (1, 0, 0), 0): (17, 52)
(16, 0, 2, (1, 0, 0), 1): (9, 10)
(16, 0, 2, (1, 0, 0), 2): (2, 2)
(16, 0, 2, (1, 0, 0), 3): (1, 1)
(16, 0, 2, (1, 0, 0), 4): (1, 1)
(16, 0, 2, (1, 0, 1), 0): (3, 8)
(16, 0, 2, (1, 0, 1), 1): (3, 3)
(16, 0, 2, (1, 0, 1), 2): (3, 3)
(16, 0, 2, (1, 0, 1), 3): (1, 1)
(16, 0, 2, (1, 0, 1), 5): (1, 1)
(16, 0, 2, (1, 1, 0), 0): (9, 20)
(16, 0, 2, (1, 1, 0), 1): (5, 7)
(16, 0, 2, (1, 1, 0), 2): (4, 4)
(16, 0, 2, (1, 1, 0), 3): (1, 1)
(16, 0, 2, (1, 1, 0), 4): (1, 1)
(16, 0, 2, (1, 1, 1), 0): (5, 9)
(16, 1, 0, (0, 0, 0), -5): (0, 3)
(16, 1, 0, (0, 0, 0), -4): (0, 3)
(16, 1, 0, (0, 0, 0), -3): (0, 3)
(16, 1, 0, (0, 0, 0), -2): (0, 9)
(16, 1, 0, (0, 0, 0), -1): (5, 22)
(16, 1, 0, (0, 0, 0), 0): (85, 136)
(16, 1, 0, (0, 0, 0), 1): (2, 2)
(16, 1, 0, (0, 0, 1), 0): (1, 1)
(16, 1, 0, (0, 1, 0), -4): (0, 1)
(16, 1, 0, (0, 1, 0), 0): (9, 10)
(16, 1, 0, (0, 1, 0), 1): (2, 2)
(16, 1, 0, (0, 1, 1), 0): (0, 1)
(16, 1, 0, (0, 1, 1), 1): (1, 1)
(16, 1, 0, (1, 0, 0), -3): (0, 1)
(16, 1, 0, (1, 0, 0), -2): (0, 3)
(16, 1, 0, (1, 0, 0), -1): (1, 5)
(16, 1, 0, (1, 0, 0), 0): (29, 40)
(16, 1, 0, (1, 0, 1), 0): (3, 4)
(16, 1, 0, (1, 1, 0), 0): (9, 9)
(16, 1, 0, (1, 1, 0), 1): (3, 3)
(16, 1, 0, (1, 1, 1), 0): (2, 4)
(16, 1, 1, (0, 0, 0), -5): (0, 3)
(16, 1, 1, (0, 0, 0), -4): (0, 2)
(16, 1, 1, (0, 0, 0), -3): (0, 2)
(16, 1, 1, (0, 0, 0), -2): (0, 6)
(16, 1, 1, (0, 0, 0), -1): (4, 17)
(16, 1, 1, (0, 0, 0), 0): (51, 91)
(16, 1, 1, (0, 0, 0), 1): (2, 2)
(16, 1, 1, (0, 0, 0), 3): (1, 1)
(16, 1, 1, (0, 0, 1), -3): (0, 1)
(16, 1, 1, (0, 0, 1), 0): (4, 4)
(16, 1, 1, (0, 1, 0), -4): (0, 1)
(16, 1, 1, (0, 1, 0), -2): (0, 2)
(16, 1, 1, (0, 1, 0), -1): (1, 2)
(16, 1, 1, (0, 1, 0), 0): (15, 21)
(16, 1, 1, (0, 1, 0), 1): (1, 1)
(16, 1, 1, (0, 1, 1), -2): (0, 1)
(16, 1, 1, (0, 1, 1), 0): (4, 4)
(16, 1, 1, (0, 1, 1), 1): (1, 1)
(16, 1, 1, (1, 0, 0), -5): (0, 1)
(16, 1, 1, (1, 0, 0), -3): (0, 2)
(16, 1, 1, (1, 0, 0), -2): (0, 1)
(16, 1, 1, (1, 0, 0), -1): (2, 10)
(16, 1, 1, (1, 0, 0), 0): (20, 27)
(16, 1, 1, (1, 0, 0), 1): (2, 2)
(16, 1, 1, (1, 0, 1), 0): (5, 5)
(16, 1, 1, (1, 1, 0), -1): (2, 2)
(16, 1, 1, (1, 1, 0), 0): (14, 16)
(16, 1, 1, (1, 1, 0), 1): (6, 6)
(16, 1, 1, (1, 1, 1), 0): (6, 9)
(16, 1, 1, (1, 1, 1), 1): (1, 1)
(16, 1, 2, (0, 0, 0), -5): (0, 2)
(16, 1, 2, (0, 0, 0), -4): (0, 2)
(16, 1, 2, (0, 0, 0), -3): (0, 2)
(16, 1, 2, (0, 0, 0), -2): (0, 8)
(16, 1, 2, (0, 0, 0), -1): (1, 10)
(16, 1, 2, (0, 0, 0), 0): (36, 72)
(16, 1, 2, (0, 0, 0), 1): (3, 3)
(16, 1, 2, (0, 0, 0), 2): (1, 1)
(16, 1, 2, (0, 0, 1), -1): (0, 1)
(16, 1, 2, (0, 0, 1), 0): (1, 3)
(16, 1, 2, (0, 1, 0), -2): (0, 1)
(16, 1, 2, (0, 1, 0), -1): (0, 5)
(16, 1, 2, (0, 1, 0), 0): (9, 16)
(16, 1, 2, (0, 1, 1), -1): (0, 1)
(16, 1, 2, (0, 1, 1), 0): (3, 3)
(16, 1, 2, (1, 0, 0), -3): (0, 2)
(16, 1, 2, (1, 0, 0), -2): (0, 2)
(16, 1, 2, (1, 0, 0), -1): (1, 8)
(16, 1, 2, (1, 0, 0), 0): (21, 32)
(16, 1, 2, (1, 0, 0), 1): (1, 1)
(16, 1, 2, (1, 0, 1), -1): (1, 1)
(16, 1, 2, (1, 0, 1), 0): (7, 10)
(16, 1, 2, (1, 0, 1), 1): (1, 1)
(16, 1, 2, (1, 1, 0), -3): (0, 1)
(16, 1, 2, (1, 1, 0), -2): (0, 1)
(16, 1, 2, (1, 1, 0), -1): (0, 2)
(16, 1, 2, (1, 1, 0), 0): (14, 21)
(16, 1, 2, (1, 1, 0), 1): (11, 11)
(16, 1, 2, (1, 1, 1), 0): (3, 7)
(16, 1, 2, (1, 1, 1), 1): (3, 3)
(17, 0, 0, (0, 0, 0), 0): (52, 100)
(17, 0, 0, (0, 0, 0), 1): (18, 18)
(17, 0, 0, (0, 0, 0), 2): (11, 11)
(17, 0, 0, (0, 0, 0), 3): (1, 1)
(17, 0, 0, (0, 0, 0), 4): (2, 2)
(17, 0, 0, (0, 0, 0), 5): (3, 3)
(17, 0, 0, (0, 0, 1), 0): (1, 1)
(17, 0, 0, (0, 1, 0), 0): (6, 6)
(17, 0, 0, (0, 1, 1), 0): (1, 1)
(17, 0, 0, (1, 0, 0), 0): (15, 25)
(17, 0, 0, (1, 0, 1), 0): (2, 2)
(17, 0, 0, (1, 0, 1), 1): (1, 1)
(17, 0, 0, (1, 1, 0), 0): (3, 4)
(17, 0, 0, (1, 1, 1), 1): (1, 1)
(17, 0, 0, (1, 1, 1), 2): (1, 1)
(17, 0, 1, (0, 0, 0), 0): (29, 67)
(17, 0, 1, (0, 0, 0), 1): (1, 1)
(17, 0, 1, (0, 0, 0), 2): (1, 1)
(17, 0, 1, (0, 0, 0), 3): (1, 1)
(17, 0, 1, (0, 0, 0), 4): (1, 1)
(17, 0, 1, (0, 0, 1), 0): (1, 1)
(17, 0, 1, (0, 0, 1), 1): (1, 1)
(17, 0, 1, (0, 0, 1), 2): (1, 1)
(17, 0, 1, (0, 1, 0), 0): (14, 19)
(17, 0, 1, (0, 1, 0), 1): (1, 1)
(17, 0, 1, (0, 1, 0), 2): (1, 1)
(17, 0, 1, (0, 1, 0), 3): (1, 1)
(17, 0, 1, (0, 1, 1), 0): (1, 1)
(17, 0, 1, (1, 0, 0), 0): (16, 31)
(17, 0, 1, (1, 0, 0), 2): (1, 1)
(17, 0, 1, (1, 0, 1), 0): (6, 6)
(17, 0, 1, (1, 0, 1), 1): (3, 3)
(17, 0, 1, (1, 0, 1), 2): (1, 1)
(17, 0, 1, (1, 0, 1), 3): (1, 1)
(17, 0, 1, (1, 1, 0), 0): (9, 11)
(17, 0, 1, (1, 1, 0), 1): (3, 3)
(17, 0, 1, (1, 1, 1), 1): (1, 1)
(17, 0, 2, (0, 0, 0), 0): (20, 50)
(17, 0, 2, (0, 0, 0), 1): (2, 2)
(17, 0, 2, (0, 0, 0), 2): (2, 2)
(17, 0, 2, (0, 0, 0), 4): (1, 1)
(17, 0, 2, (0, 0, 1), 0): (1, 2)
(17, 0, 2, (0, 0, 1), 1): (1, 1)
(17, 0, 2, (0, 0, 1), 2): (1, 1)
(17, 0, 2, (0, 1, 0), 0): (9, 17)
(17, 0, 2, (0, 1, 0), 1): (3, 3)
(17, 0, 2, (0, 1, 0), 2): (2, 2)
(17, 0, 2, (0, 1, 0), 3): (1, 1)
(17, 0, 2, (0, 1, 0), 4): (2, 2)
(17, 0, 2, (0, 1, 0), 5): (1, 1)
(17, 0, 2, (0, 1, 1), 0): (3, 4)
(17, 0, 2, (1, 0, 0), 0): (10, 23)
(17, 0, 2, (1, 0, 0), 1): (3, 4)
(17, 0, 2, (1, 0, 0), 2): (3, 3)
(17, 0, 2, (1, 0, 0), 3): (2, 2)
(17, 0, 2, (1, 0, 0), 5): (1, 1)
(17, 0, 2, (1, 0, 1), 0): (4, 5)
(17, 0, 2, (1, 0, 1), 2): (4, 4)
(17, 0, 2, (1, 1, 0), 0): (10, 15)
(17, 0, 2, (1, 1, 0), 1): (5, 6)
(17, 0, 2, (1, 1, 0), 2): (2, 2)
(17, 0, 2, (1, 1, 0), 3): (1, 1)
(17, 0, 2, (1, 1, 1), 0): (4, 4)
(17, 0, 2, (1, 1, 1), 1): (1, 1)
(17, 1, 0, (0, 0, 0), -5): (0, 1)
(17, 1, 0, (0, 0, 0), -4): (0, 2)
(17, 1, 0, (0, 0, 0), -3): (0, 3)
(17, 1, 0, (0, 0, 0), -2): (0, 9)
(17, 1, 0, (0, 0, 0), -1): (1, 11)
(17, 1, 0, (0, 0, 0), 0): (47, 75)
(17, 1, 0, (0, 0, 1), -5): (0, 1)
(17, 1, 0, (0, 0, 1), 0): (2, 2)
(17, 1, 0, (0, 1, 0), 0): (0, 2)
(17, 1, 0, (0, 1, 1), -3): (0, 1)
(17, 1, 0, (1, 0, 0), -4): (0, 1)
(17, 1, 0, (1, 0, 0), -3): (0, 1)
(17, 1, 0, (1, 0, 0), -2): (0, 2)
(17, 1, 0, (1, 0, 0), -1): (1, 3)
(17, 1, 0, (1, 0, 0), 0): (13, 19)
(17, 1, 0, (1, 0, 1), 0): (1, 2)
(17, 1, 0, (1, 1, 0), 0): (3, 3)
(17, 1, 0, (1, 1, 0), 1): (1, 1)
(17, 1, 0, (1, 1, 1), 0): (1, 2)
(17, 1, 1, (0, 0, 0), -4): (0, 2)
(17, 1, 1, (0, 0, 0), -3): (0, 3)
(17, 1, 1, (0, 0, 0), -2): (0, 8)
(17, 1, 1, (0, 0, 0), -1): (0, 8)
(17, 1, 1, (0, 0, 0), 0): (32, 52)
(17, 1, 1, (0, 0, 0), 1): (3, 3)
(17, 1, 1, (0, 0, 1), 0): (1, 3)
(17, 1, 1, (0, 0, 1), 1): (1, 1)
(17, 1, 1, (0, 1, 0), -2): (0, 2)
(17, 1, 1, (0, 1, 0), -1): (1, 2)
(17, 1, 1, (0, 1, 0), 0): (11, 14)
(17, 1, 1, (0, 1, 1), 0): (1, 1)
(17, 1, 1, (1, 0, 0), -4): (0, 1)
(17, 1, 1, (1, 0, 0), -1): (0, 1)
(17, 1, 1, (1, 0, 0), 0): (10, 18)
(17, 1, 1, (1, 0, 0), 1): (2, 2)
(17, 1, 1, (1, 0, 1), 0): (2, 3)
(17, 1, 1, (1, 1, 0), -1): (1, 1)
(17, 1, 1, (1, 1, 0), 0): (7, 9)
(17, 1, 1, (1, 1, 0), 1): (2, 2)
(17, 1, 1, (1, 1, 1), 0): (4, 5)
(17, 1, 1, (1, 1, 1), 1): (2, 2)
(17, 1, 2, (0, 0, 0), -4): (0, 1)
(17, 1, 2, (0, 0, 0), -3): (0, 2)
(17, 1, 2, (0, 0, 0), -2): (0, 8)
(17, 1, 2, (0, 0, 0), -1): (0, 8)
(17, 1, 2, (0, 0, 0), 0): (21, 36)
(17, 1, 2, (0, 0, 0), 1): (1, 1)
(17, 1, 2, (0, 0, 0), 2): (2, 2)
(17, 1, 2, (0, 0, 1), 0): (2, 4)
(17, 1, 2, (0, 1, 0), -2): (0, 2)
(17, 1, 2, (0, 1, 0), -1): (0, 2)
(17, 1, 2, (0, 1, 0), 0): (6, 8)
(17, 1, 2, (0, 1, 1), 0): (1, 3)
(17, 1, 2, (0, 1, 1), 1): (1, 1)
(17, 1, 2, (1, 0, 0), -4): (0, 1)
(17, 1, 2, (1, 0, 0), -1): (0, 2)
(17, 1, 2, (1, 0, 0), 0): (5, 11)
(17, 1, 2, (1, 0, 0), 1): (2, 2)
(17, 1, 2, (1, 0, 1), 0): (2, 3)
(17, 1, 2, (1, 1, 0), -1): (0, 2)
(17, 1, 2, (1, 1, 0), 0): (6, 9)
(17, 1, 2, (1, 1, 0), 1): (4, 4)
(17, 1, 2, (1, 1, 1), 0): (0, 3)
(18, 0, 0, (0, 0, 0), 0): (28, 55)
(18, 0, 0, (0, 0, 0), 1): (12, 12)
(18, 0, 0, (0, 0, 0), 2): (9, 9)
(18, 0, 0, (0, 0, 0), 3): (2, 2)
(18, 0, 0, (0, 0, 0), 4): (2, 2)
(18, 0, 0, (0, 1, 0), 0): (2, 4)
(18, 0, 0, (0, 1, 1), 0): (1, 1)
(18, 0, 0, (1, 0, 0), 0): (7, 14)
(18, 0, 0, (1, 0, 1), 0): (1, 1)
(18, 0, 0, (1, 0, 1), 1): (1, 1)
(18, 0, 0, (1, 1, 0), 0): (3, 3)
(18, 0, 0, (1, 1, 1), 1): (1, 1)
(18, 0, 1, (0, 0, 0), 0): (19, 39)
(18, 0, 1, (0, 0, 0), 1): (2, 2)
(18, 0, 1, (0, 0, 1), 0): (1, 3)
(18, 0, 1, (0, 0, 1), 1): (1, 1)
(18, 0, 1, (0, 1, 0), 0): (3, 6)
(18, 0, 1, (0, 1, 0), 1): (2, 3)
(18, 0, 1, (0, 1, 1), 0): (2, 2)
(18, 0, 1, (0, 1, 1), 2): (1, 1)
(18, 0, 1, (1, 0, 0), 0): (7, 20)
(18, 0, 1, (1, 0, 0), 1): (2, 2)
(18, 0, 1, (1, 0, 1), 0): (3, 5)
(18, 0, 1, (1, 0, 1), 1): (2, 2)
(18, 0, 1, (1, 1, 0), 0): (2, 6)
(18, 0, 1, (1, 1, 0), 1): (4, 4)
(18, 0, 1, (1, 1, 1), 0): (2, 2)
(18, 0, 1, (1, 1, 1), 1): (1, 1)
(18, 0, 1, (1, 1, 1), 2): (1, 1)
(18, 0, 2, (0, 0, 0), 0): (11, 22)
(18, 0, 2, (0, 0, 0), 1): (1, 1)
(18, 0, 2, (0, 0, 1), 0): (1, 2)
(18, 0, 2, (0, 1, 0), 0): (2, 4)
(18, 0, 2, (0, 1, 0), 1): (1, 2)
(18, 0, 2, (0, 1, 0), 2): (1, 1)
(18, 0, 2, (0, 1, 1), 1): (1, 1)
(18, 0, 2, (1, 0, 0), 0): (7, 17)
(18, 0, 2, (1, 0, 0), 1): (1, 1)
(18, 0, 2, (1, 0, 1), 0): (3, 3)
(18, 0, 2, (1, 0, 1), 1): (2, 2)
(18, 0, 2, (1, 0, 1), 2): (1, 1)
(18, 0, 2, (1, 1, 0), 0): (3, 9)
(18, 0, 2, (1, 1, 0), 1): (3, 3)
(18, 0, 2, (1, 1, 0), 3): (1, 1)
(18, 0, 2, (1, 1, 1), 0): (1, 1)
(18, 0, 2, (1, 1, 1), 1): (1, 1)
(18, 1, 0, (0, 0, 0), -3): (0, 1)
(18, 1, 0, (0, 0, 0), -2): (0, 2)
(18, 1, 0, (0, 0, 0), -1): (1, 12)
(18, 1, 0, (0, 0, 0), 0): (26, 41)
(18, 1, 0, (0, 0, 0), 1): (3, 3)
(18, 1, 0, (0, 0, 0), 2): (1, 1)
(18, 1, 0, (0, 1, 0), -3): (0, 1)
(18, 1, 0, (0, 1, 0), -1): (0, 1)
(18, 1, 0, (0, 1, 0), 0): (2, 5)
(18, 1, 0, (0, 1, 1), 0): (1, 1)
(18, 1, 0, (1, 0, 0), -3): (0, 1)
(18, 1, 0, (1, 0, 0), -1): (1, 3)
(18, 1, 0, (1, 0, 0), 0): (10, 12)
(18, 1, 0, (1, 0, 1), -1): (0, 1)
(18, 1, 0, (1, 0, 1), 0): (2, 3)
(18, 1, 0, (1, 0, 1), 1): (1, 1)
(18, 1, 0, (1, 1, 0), -1): (0, 1)
(18, 1, 0, (1, 1, 0), 0): (4, 4)
(18, 1, 0, (1, 1, 0), 1): (2, 2)
(18, 1, 0, (1, 1, 1), 0): (1, 1)
(18, 1, 1, (0, 0, 0), -2): (0, 2)
(18, 1, 1, (0, 0, 0), -1): (0, 8)
(18, 1, 1, (0, 0, 0), 0): (13, 24)
(18, 1, 1, (0, 0, 1), 0): (1, 2)
(18, 1, 1, (0, 1, 0), 0): (3, 4)
(18, 1, 1, (0, 1, 1), 0): (2, 3)
(18, 1, 1, (1, 0, 0), -1): (0, 1)
(18, 1, 1, (1, 0, 0), 0): (6, 7)
(18, 1, 1, (1, 0, 1), -1): (0, 1)
(18, 1, 1, (1, 0, 1), 0): (4, 5)
(18, 1, 1, (1, 1, 0), -1): (0, 1)
(18, 1, 1, (1, 1, 0), 0): (1, 2)
(18, 1, 1, (1, 1, 0), 1): (2, 2)
(18, 1, 1, (1, 1, 1), -1): (0, 1)
(18, 1, 1, (1, 1, 1), 0): (5, 7)
(18, 1, 1, (1, 1, 1), 1): (2, 2)
(18, 1, 2, (0, 0, 0), -2): (0, 2)
(18, 1, 2, (0, 0, 0), -1): (0, 8)
(18, 1, 2, (0, 0, 0), 0): (9, 21)
(18, 1, 2, (0, 0, 1), 0): (2, 2)
(18, 1, 2, (0, 1, 0), 0): (0, 1)
(18, 1, 2, (0, 1, 1), 0): (2, 2)
(18, 1, 2, (1, 0, 0), -2): (0, 1)
(18, 1, 2, (1, 0, 0), -1): (0, 3)
(18, 1, 2, (1, 0, 0), 0): (4, 7)
(18, 1, 2, (1, 0, 0), 1): (1, 1)
(18, 1, 2, (1, 0, 1), 0): (1, 1)
(18, 1, 2, (1, 0, 1), 1): (1, 1)
(18, 1, 2, (1, 1, 0), -1): (0, 1)
(18, 1, 2, (1, 1, 0), 0): (1, 3)
(18, 1, 2, (1, 1, 0), 1): (1, 1)
(18, 1, 2, (1, 1, 1), -1): (0, 1)
(18, 1, 2, (1, 1, 1), 0): (2, 4)
(18, 1, 2, (1, 1, 1), 1): (1, 1)
(19, 0, 0, (0, 0, 0), 0): (17, 29)
(19, 0, 0, (0, 0, 0), 1): (9, 9)
(19, 0, 0, (0, 0, 0), 2): (2, 2)
(19, 0, 0, (0, 0, 1), 1): (1, 1)
(19, 0, 0, (1, 0, 0), 0): (11, 14)
(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): (6, 15)
(19, 0, 1, (0, 0, 0), 2): (1, 1)
(19, 0, 1, (0, 0, 1), 0): (1, 1)
(19, 0, 1, (0, 1, 0), 0): (7, 7)
(19, 0, 1, (0, 1, 0), 2): (1, 1)
(19, 0, 1, (0, 1, 0), 4): (1, 1)
(19, 0, 1, (0, 1, 1), 0): (0, 1)
(19, 0, 1, (0, 1, 1), 1): (1, 1)
(19, 0, 1, (1, 0, 0), 0): (2, 5)
(19, 0, 1, (1, 1, 0), 0): (4, 4)
(19, 0, 1, (1, 1, 0), 2): (1, 1)
(19, 0, 1, (1, 1, 1), 0): (0, 1)
(19, 0, 1, (1, 1, 1), 1): (2, 2)
(19, 0, 2, (0, 0, 0), 0): (4, 13)
(19, 0, 2, (0, 0, 0), 2): (1, 1)
(19, 0, 2, (0, 0, 1), 0): (2, 2)
(19, 0, 2, (0, 0, 1), 4): (1, 1)
(19, 0, 2, (0, 1, 0), 0): (4, 5)
(19, 0, 2, (0, 1, 0), 2): (1, 1)
(19, 0, 2, (0, 1, 0), 4): (2, 2)
(19, 0, 2, (0, 1, 1), 2): (1, 1)
(19, 0, 2, (1, 0, 0), 0): (2, 7)
(19, 0, 2, (1, 0, 0), 5): (1, 1)
(19, 0, 2, (1, 0, 1), 0): (2, 2)
(19, 0, 2, (1, 0, 1), 1): (1, 1)
(19, 0, 2, (1, 0, 1), 3): (1, 1)
(19, 0, 2, (1, 1, 0), 0): (3, 6)
(19, 0, 2, (1, 1, 0), 1): (1, 1)
(19, 0, 2, (1, 1, 0), 2): (1, 1)
(19, 0, 2, (1, 1, 1), 0): (1, 2)
(19, 0, 2, (1, 1, 1), 1): (2, 2)
(19, 1, 0, (0, 0, 0), -5): (0, 1)
(19, 1, 0, (0, 0, 0), -4): (0, 2)
(19, 1, 0, (0, 0, 0), -3): (0, 1)
(19, 1, 0, (0, 0, 0), -2): (0, 2)
(19, 1, 0, (0, 0, 0), -1): (0, 1)
(19, 1, 0, (0, 0, 0), 0): (12, 22)
(19, 1, 0, (0, 0, 0), 1): (1, 1)
(19, 1, 0, (0, 1, 0), 0): (1, 1)
(19, 1, 0, (1, 0, 0), -1): (0, 1)
(19, 1, 0, (1, 0, 0), 0): (2, 2)
(19, 1, 0, (1, 1, 0), 0): (1, 1)
(19, 1, 0, (1, 1, 0), 1): (1, 1)
(19, 1, 1, (0, 0, 0), -5): (0, 1)
(19, 1, 1, (0, 0, 0), -4): (0, 2)
(19, 1, 1, (0, 0, 0), -3): (0, 1)
(19, 1, 1, (0, 0, 0), -2): (0, 2)
(19, 1, 1, (0, 0, 0), 0): (8, 18)
(19, 1, 1, (0, 0, 0), 2): (1, 1)
(19, 1, 1, (0, 1, 0), -5): (0, 1)
(19, 1, 1, (0, 1, 0), -2): (0, 1)
(19, 1, 1, (0, 1, 0), -1): (0, 1)
(19, 1, 1, (0, 1, 0), 0): (4, 4)
(19, 1, 1, (1, 0, 0), 0): (4, 7)
(19, 1, 1, (1, 1, 0), 0): (2, 3)
(19, 1, 2, (0, 0, 0), -4): (0, 2)
(19, 1, 2, (0, 0, 0), -3): (0, 1)
(19, 1, 2, (0, 0, 0), -2): (0, 1)
(19, 1, 2, (0, 0, 0), 0): (4, 11)
(19, 1, 2, (0, 0, 1), -1): (0, 1)
(19, 1, 2, (0, 1, 0), -5): (0, 1)
(19, 1, 2, (0, 1, 0), -2): (0, 1)
(19, 1, 2, (0, 1, 0), 0): (3, 5)
(19, 1, 2, (0, 1, 1), 0): (1, 1)
(19, 1, 2, (1, 0, 0), -4): (0, 2)
(19, 1, 2, (1, 0, 0), 0): (0, 5)
(19, 1, 2, (1, 0, 0), 1): (1, 1)
(19, 1, 2, (1, 0, 1), -3): (0, 1)
(19, 1, 2, (1, 0, 1), 0): (2, 2)
(19, 1, 2, (1, 1, 0), -5): (0, 1)
(19, 1, 2, (1, 1, 0), 0): (0, 4)
(19, 1, 2, (1, 1, 1), -5): (0, 1)
(19, 1, 2, (1, 1, 1), 0): (2, 2)
(19, 1, 2, (1, 1, 1), 1): (1, 1)
(20, 0, 0, (0, 0, 0), 0): (10, 17)
(20, 0, 0, (0, 0, 0), 1): (1, 1)
(20, 0, 0, (0, 0, 0), 2): (2, 2)
(20, 0, 0, (0, 0, 0), 3): (2, 2)
(20, 0, 0, (0, 0, 0), 4): (2, 2)
(20, 0, 0, (1, 0, 0), 0): (4, 5)
(20, 0, 0, (1, 0, 1), 1): (1, 1)
(20, 0, 0, (1, 1, 0), 0): (3, 3)
(20, 0, 0, (1, 1, 0), 2): (1, 1)
(20, 0, 1, (0, 0, 0), 0): (7, 14)
(20, 0, 1, (0, 1, 1), 2): (1, 1)
(20, 0, 1, (1, 0, 0), 0): (2, 2)
(20, 0, 1, (1, 1, 0), 0): (1, 1)
(20, 0, 1, (1, 1, 1), 2): (1, 1)
(20, 0, 1, (1, 1, 1), 3): (1, 1)
(20, 0, 2, (0, 0, 0), 0): (6, 13)
(20, 0, 2, (0, 0, 1), 1): (1, 1)
(20, 0, 2, (0, 0, 1), 2): (1, 1)
(20, 0, 2, (1, 0, 0), 0): (5, 6)
(20, 0, 2, (1, 0, 1), 0): (3, 3)
(20, 0, 2, (1, 0, 1), 1): (2, 2)
(20, 1, 0, (0, 0, 0), -3): (0, 1)
(20, 1, 0, (0, 0, 0), -2): (0, 1)
(20, 1, 0, (0, 0, 0), -1): (0, 2)
(20, 1, 0, (0, 0, 0), 0): (7, 13)
(20, 1, 0, (0, 0, 1), 0): (1, 1)
(20, 1, 0, (1, 0, 0), 0): (3, 4)
(20, 1, 0, (1, 0, 1), 0): (1, 1)
(20, 1, 0, (1, 1, 1), 0): (1, 1)
(20, 1, 1, (0, 0, 0), -3): (0, 1)
(20, 1, 1, (0, 0, 0), -2): (0, 1)
(20, 1, 1, (0, 0, 0), -1): (0, 2)
(20, 1, 1, (0, 0, 0), 0): (3, 8)
(20, 1, 1, (0, 1, 0), 0): (2, 2)
(20, 1, 1, (1, 0, 0), 0): (1, 3)
(20, 1, 1, (1, 1, 0), 0): (3, 3)
(20, 1, 1, (1, 1, 0), 1): (3, 3)
(20, 1, 2, (0, 0, 0), -3): (0, 1)
(20, 1, 2, (0, 0, 0), -2): (0, 1)
(20, 1, 2, (0, 0, 0), -1): (0, 2)
(20, 1, 2, (0, 0, 0), 0): (3, 7)
(20, 1, 2, (1, 0, 0), -3): (0, 1)
(20, 1, 2, (1, 0, 0), -1): (0, 1)
(20, 1, 2, (1, 0, 0), 0): (1, 3)
(20, 1, 2, (1, 1, 0), -3): (0, 1)
(20, 1, 2, (1, 1, 0), -2): (0, 1)
(20, 1, 2, (1, 1, 0), -1): (0, 1)
(20, 1, 2, (1, 1, 0), 0): (1, 1)
(20, 1, 2, (1, 1, 0), 1): (1, 1)
(20, 1, 2, (1, 1, 1), -1): (0, 1)
(21, 0, 0, (0, 0, 0), 0): (6, 9)
(21, 0, 0, (0, 0, 0), 1): (2, 2)
(21, 0, 0, (0, 0, 0), 2): (2, 2)
(21, 0, 0, (0, 1, 1), 0): (0, 1)
(21, 0, 0, (1, 0, 0), 0): (2, 3)
(21, 0, 0, (1, 1, 0), 0): (0, 1)
(21, 0, 1, (0, 0, 0), 0): (4, 6)
(21, 0, 1, (0, 0, 0), 3): (1, 1)
(21, 0, 1, (0, 0, 1), 0): (1, 1)
(21, 0, 1, (0, 1, 0), 0): (3, 3)
(21, 0, 1, (0, 1, 1), 0): (0, 1)
(21, 0, 1, (1, 0, 0), 0): (1, 1)
(21, 0, 1, (1, 0, 1), 0): (1, 1)
(21, 0, 1, (1, 1, 0), 0): (1, 1)
(21, 0, 2, (0, 0, 0), 0): (2, 4)
(21, 0, 2, (0, 0, 0), 3): (1, 2)
(21, 0, 2, (0, 1, 0), 0): (1, 1)
(21, 0, 2, (0, 1, 0), 1): (1, 1)
(21, 0, 2, (0, 1, 1), 0): (1, 1)
(21, 0, 2, (0, 1, 1), 2): (1, 1)
(21, 0, 2, (1, 0, 0), 0): (1, 3)
(21, 0, 2, (1, 0, 0), 3): (1, 1)
(21, 0, 2, (1, 0, 1), 1): (0, 1)
(21, 0, 2, (1, 1, 0), 0): (1, 4)
(21, 0, 2, (1, 1, 0), 1): (1, 1)
(21, 0, 2, (1, 1, 1), 0): (1, 1)
(21, 0, 2, (1, 1, 1), 1): (1, 1)
(21, 1, 0, (0, 0, 0), -3): (1, 2)
(21, 1, 0, (0, 0, 0), -2): (0, 1)
(21, 1, 0, (0, 0, 0), -1): (1, 2)
(21, 1, 0, (0, 0, 0), 0): (1, 4)
(21, 1, 0, (0, 1, 0), -3): (1, 1)
(21, 1, 0, (0, 1, 0), -1): (1, 1)
(21, 1, 0, (1, 0, 0), -2): (1, 1)
(21, 1, 0, (1, 0, 0), 0): (0, 1)
(21, 1, 0, (1, 1, 0), -2): (1, 1)
(21, 1, 1, (0, 0, 0), -3): (0, 1)
(21, 1, 1, (0, 0, 0), -2): (0, 1)
(21, 1, 1, (0, 0, 0), -1): (0, 1)
(21, 1, 1, (0, 0, 0), 0): (1, 3)
(21, 1, 1, (0, 0, 1), -1): (1, 1)
(21, 1, 1, (0, 1, 0), 0): (0, 2)
(21, 1, 1, (1, 0, 0), 0): (1, 1)
(21, 1, 1, (1, 1, 0), -2): (1, 1)
(21, 1, 1, (1, 1, 0), 0): (2, 3)
(21, 1, 1, (1, 1, 1), -2): (1, 1)
(21, 1, 2, (0, 0, 0), -3): (0, 1)
(21, 1, 2, (0, 0, 0), -2): (0, 1)
(21, 1, 2, (0, 0, 0), -1): (0, 1)
(21, 1, 2, (0, 0, 0), 0): (1, 2)
(21, 1, 2, (0, 0, 0), 3): (1, 1)
(21, 1, 2, (0, 1, 0), 0): (0, 1)
(21, 1, 2, (1, 0, 0), -3): (0, 1)
(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): (3, 5)
(22, 0, 0, (0, 0, 0), 1): (2, 2)
(22, 0, 0, (0, 0, 0), 2): (1, 1)
(22, 0, 0, (0, 0, 0), 3): (1, 1)
(22, 0, 0, (1, 0, 0), 0): (1, 1)
(22, 0, 1, (0, 0, 0), 0): (1, 3)
(22, 0, 1, (0, 0, 0), 1): (1, 1)
(22, 0, 1, (0, 1, 0), 0): (1, 1)
(22, 0, 2, (0, 0, 0), 0): (1, 3)
(22, 0, 2, (0, 0, 0), 1): (1, 1)
(22, 0, 2, (0, 1, 0), 0): (1, 1)
(22, 0, 2, (1, 0, 1), 1): (1, 1)
(22, 0, 2, (1, 1, 0), 0): (1, 1)
(22, 1, 0, (0, 0, 0), -1): (0, 2)
(22, 1, 0, (0, 0, 0), 0): (2, 3)
(22, 1, 0, (1, 0, 0), -1): (0, 1)
(22, 1, 0, (1, 0, 0), 0): (1, 2)
(22, 1, 0, (1, 1, 0), -1): (0, 1)
(22, 1, 1, (0, 0, 0), -1): (0, 1)
(22, 1, 1, (0, 0, 0), 0): (1, 1)
(22, 1, 1, (0, 1, 0), 0): (1, 2)
(22, 1, 1, (0, 1, 1), -1): (0, 1)
(22, 1, 1, (1, 0, 0), 0): (1, 1)
(22, 1, 1, (1, 1, 0), 0): (1, 2)
(22, 1, 2, (0, 0, 0), -1): (0, 1)
(22, 1, 2, (0, 1, 1), -1): (0, 1)
(22, 1, 2, (1, 0, 0), -1): (0, 1)
(22, 1, 2, (1, 0, 0), 0): (1, 1)
(22, 1, 2, (1, 1, 0), 0): (1, 2)
(22, 1, 2, (1, 1, 0), 1): (1, 1)
(22, 1, 2, (1, 1, 1), -1): (0, 1)
(23, 0, 0, (0, 0, 0), 0): (1, 2)
(23, 0, 0, (0, 0, 0), 1): (2, 2)
(23, 0, 1, (0, 0, 0), 0): (1, 2)
(23, 0, 2, (0, 0, 0), 0): (1, 2)
(23, 0, 2, (1, 0, 0), 0): (1, 2)
(23, 0, 2, (1, 1, 0), 0): (0, 1)
(23, 1, 0, (0, 0, 0), 0): (1, 2)
(23, 1, 0, (1, 0, 0), 0): (1, 1)
(23, 1, 1, (0, 0, 0), 0): (0, 1)
(23, 1, 1, (1, 0, 0), 0): (1, 2)
(23, 1, 1, (1, 1, 0), 0): (0, 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, 2)
(24, 0, 0, (1, 0, 0), 0): (1, 1)
(24, 0, 1, (0, 0, 0), 0): (0, 1)
(24, 0, 1, (1, 0, 0), 0): (1, 1)
(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): (1, 2)
(24, 1, 1, (0, 0, 0), 0): (1, 2)
(24, 1, 2, (0, 0, 0), 0): (1, 2)
(24, 1, 2, (0, 1, 0), 0): (1, 2)
(24, 1, 2, (1, 1, 0), 0): (0, 1)
(24, 1, 2, (1, 1, 1), 0): (0, 1)
(25, 0, 0, (0, 0, 0), 0): (1, 2)
(25, 0, 0, (0, 0, 0), 1): (1, 1)
(25, 0, 0, (1, 0, 0), 0): (1, 2)
(25, 0, 1, (0, 0, 0), 1): (1, 1)
(25, 0, 2, (0, 0, 0), 0): (0, 1)
(25, 0, 2, (0, 0, 0), 1): (1, 1)
(25, 1, 0, (0, 0, 0), -1): (0, 1)
(25, 1, 0, (0, 0, 0), 0): (1, 1)
(25, 1, 1, (0, 0, 0), -1): (0, 1)
(25, 1, 1, (0, 0, 0), 0): (1, 1)
(25, 1, 1, (0, 0, 0), 1): (1, 1)
(25, 1, 2, (0, 0, 0), -1): (0, 1)
(25, 1, 2, (1, 0, 0), -1): (0, 1)
(26, 0, 0, (0, 0, 0), 1): (1, 1)