{
(0, 0): [4, 4, 4, 4],
(0, 1): [3, 3, 3, 3],
(1, 0): [4, 4, 2, 2, 0],
(1, 1): [4, 4, 2, 2, 0],
(2, 0): [9, 3, 3, 3, 0],
(3, 0): [4, 2, 2, 2, 2],
(3, 1): [4, 2, 2, 2, 2],
(4, 0): [2, 2, 3, 3, 3],
(4, 1): [0, 0, 3, 3, 3],
(4, 2): [0, 0, 6, 6, 6],
(4, 3): [2, 2, 4, 4, 4],
(4, 4): [2, 2, 2, 2, 2],
(5, 0): [0, 3, 3, 3, 3],
(5, 1): [1, 4, 3, 3, 3],
(5, 2): [0, 3, 3, 3, 3],
(5, 3): [0, 4, 4, 4, 4],
(5, 4): [1, 3, 2, 2, 2],
(6, 0): [1, 3, 3, 2, 2],
(6, 1): [2, 4, 4, 2, 2],
(6, 2): [2, 4, 4, 2, 2],
(6, 3): [1, 3, 3, 2, 2],
(6, 4): [3, 3, 3, 0, 0],
(7, 0): [0, 6, 3, 3, 3],
(7, 1): [0, 6, 3, 3, 3],
(7, 2): [0, 4, 2, 2, 2],
(8, 0): [2, 2, 2, 2, 0, 0, 0],
(9, 0): [8, 4, 2, 2, 0, 0],
(10, 0): [8, 2, 2, 2, 2, 0],
(11, 0): [8, 1, 3, 2, 2, 0],
(12, 0): [4, 3, 2, 2, 1, 0],
(13, 0): [4, 4, 0, 2, 2, 0],
(13, 1): [3, 3, 1, 2, 1, 0],
(13, 2): [4, 4, 0, 2, 2, 0],
(13, 3): [3, 3, 1, 2, 1, 0],
(14, 0): [6, 1, 3, 2, 2, 0],
(14, 1): [6, 1, 3, 2, 2, 0],
(14, 2): [4, 2, 2, 0, 0, 0],
(15, 0): [6, 2, 2, 2, 2, 0],
(15, 1): [6, 2, 2, 2, 2, 0],
(15, 2): [4, 0, 0, 2, 2, 0],
(16, 0): [6, 3, 3, 3, 0, 0],
(16, 1): [6, 3, 3, 3, 0, 0],
(17, 0): [4, 2, 2, 2, 2, 0],
(17, 1): [8, 0, 0, 4, 4, 0],
(17, 2): [4, 2, 2, 2, 2, 0],
(17, 3): [4, 0, 0, 2, 2, 0],
(17, 4): [4, 2, 2, 2, 2, 0],
(18, 0): [2, 2, 2, 2, 2, 0],
(18, 1): [4, 0, 0, 2, 2, 0],
(18, 2): [2, 2, 2, 2, 2, 0],
(19, 0): [0, 4, 4, 2, 2, 0],
(19, 1): [0, 4, 4, 2, 2, 0],
(19, 2): [0, 4, 4, 2, 2, 0],
(19, 3): [0, 4, 4, 2, 2, 0],
(19, 4): [0, 4, 4, 2, 2, 0],
(20, 0): [1, 2, 3, 1, 2, 2],
(20, 1): [1, 2, 3, 1, 2, 2],
(20, 2): [1, 2, 3, 1, 2, 2],
(20, 3): [2, 2, 2, 0, 2, 2],
(20, 4): [2, 2, 2, 0, 2, 2],
(21, 0): [3, 3, 1, 1, 2, 2],
(21, 1): [4, 4, 0, 0, 4, 4],
(21, 2): [3, 2, 1, 0, 2, 2],
(21, 3): [3, 3, 1, 1, 2, 2],
(21, 4): [3, 2, 1, 0, 2, 2],
(22, 0): [3, 1, 1, 2, 2, 1],
(22, 1): [4, 2, 2, 2, 2, 0],
(22, 2): [3, 1, 1, 2, 2, 1],
(22, 3): [4, 2, 2, 2, 2, 0],
(22, 4): [3, 1, 1, 2, 2, 1],
(22, 5): [4, 2, 2, 2, 2, 0],
(23, 0): [5, 0, 3, 1, 2, 2],
(23, 1): [5, 0, 3, 1, 2, 2],
(23, 2): [5, 0, 3, 1, 2, 2],
(23, 3): [4, 0, 2, 0, 2, 2],
(23, 4): [4, 0, 2, 0, 2, 2],
(24, 0): [2, 2, 2, 2, 2, 2],
(24, 1): [2, 2, 2, 2, 2, 2],
(24, 2): [1, 1, 2, 2, 2, 2],
(24, 3): [2, 2, 2, 2, 2, 2],
(24, 4): [3, 1, 2, 2, 0, 0],
(25, 0): [0, 0, 3, 3, 3, 0],
(25, 1): [0, 2, 1, 3, 3, 2],
(25, 2): [1, 2, 2, 3, 3, 1],
(25, 3): [1, 2, 2, 3, 3, 1],
(25, 4): [0, 2, 1, 3, 3, 2],
(25, 5): [0, 2, 1, 3, 3, 2],
(25, 6): [1, 2, 2, 3, 3, 1],
(25, 7): [0, 0, 3, 3, 3, 0],
(25, 8): [0, 2, 2, 4, 4, 2],
(25, 9): [1, 2, 1, 2, 2, 1],
(25, 10): [0, 2, 2, 4, 4, 2],
(25, 11): [1, 2, 1, 2, 2, 1],
(26, 0): [0, 3, 3, 3, 3, 0],
(26, 1): [0, 4, 2, 3, 3, 1],
(26, 2): [0, 4, 2, 3, 3, 1],
(26, 3): [0, 4, 2, 3, 3, 1],
(26, 4): [0, 3, 3, 3, 3, 0],
(26, 5): [0, 3, 1, 2, 2, 1],
(26, 6): [0, 3, 1, 2, 2, 1],
(27, 0): [0, 4, 2, 2, 2, 2],
(27, 1): [1, 5, 2, 2, 2, 2],
(27, 2): [0, 4, 2, 2, 2, 2],
(27, 3): [0, 4, 2, 2, 2, 2],
(27, 4): [1, 3, 0, 2, 2, 0],
(28, 0): [0, 3, 1, 3, 2, 2],
(28, 1): [1, 4, 1, 3, 2, 2],
(28, 2): [0, 3, 1, 3, 2, 2],
(28, 3): [1, 4, 1, 3, 2, 2],
(28, 4): [1, 4, 1, 3, 2, 2],
(28, 5): [0, 3, 1, 3, 2, 2],
(28, 6): [0, 4, 2, 4, 2, 2],
(28, 7): [1, 3, 0, 2, 2, 2],
(28, 8): [0, 4, 2, 4, 2, 2],
(28, 9): [1, 3, 0, 2, 2, 2],
(28, 10): [1, 3, 2, 2, 0, 0],
(29, 0): [0, 2, 2, 2, 2, 2],
(29, 1): [2, 2, 2, 4, 2, 2],
(29, 2): [0, 2, 2, 4, 4, 4],
(29, 3): [2, 0, 0, 6, 4, 4],
(29, 4): [1, 2, 2, 3, 2, 2],
(29, 5): [1, 2, 2, 3, 2, 2],
(29, 6): [1, 2, 2, 3, 2, 2],
(29, 7): [1, 0, 0, 3, 2, 2],
(29, 8): [2, 2, 2, 4, 2, 2],
(29, 9): [0, 2, 2, 2, 2, 2],
(29, 10): [2, 2, 2, 2, 0, 0],
(30, 0): [4, 2, 2, 2, 2, 4],
(30, 1): [4, 4, 0, 0, 4, 4],
(30, 2): [2, 2, 2, 2, 2, 2],
(30, 3): [2, 2, 2, 2, 2, 2],
(30, 4): [0, 2, 2, 2, 2, 0],
(32, 0): [7, 3, 1, 2, 1, 0, 0],
(33, 0): [3, 3, 0, 2, 1, 0, 0],
(33, 1): [3, 3, 0, 2, 1, 0, 0],
(34, 0): [0, 2, 4, 4, 2, 0, 0],
(34, 1): [1, 2, 2, 2, 1, 0, 0],
(35, 0): [4, 4, 0, 2, 2, 0, 0],
(35, 1): [4, 4, 0, 2, 2, 0, 0],
(36, 0): [4, 4, 0, 2, 2, 0, 0],
(36, 1): [4, 4, 0, 2, 2, 0, 0],
(37, 0): [3, 3, 3, 3, 0, 0, 0],
(38, 0): [8, 0, 4, 2, 2, 0, 0],
(38, 1): [8, 0, 4, 2, 2, 0, 0],
(39, 0): [0, 2, 2, 2, 2, 0, 0, 0],
(39, 1): [0, 2, 2, 2, 2, 0, 0, 0],
(40, 0): [0, 3, 2, 2, 1, 0, 0, 0],
(41, 0): [7, 1, 1, 2, 2, 1, 0],
(42, 0): [3, 1, 2, 2, 1, 1, 0],
(42, 1): [3, 1, 2, 2, 1, 1, 0],
(43, 0): [2, 2, 2, 2, 1, 1, 0],
(43, 1): [2, 2, 2, 2, 1, 1, 0],
(44, 0): [6, 0, 4, 0, 2, 2, 0],
(44, 1): [6, 0, 4, 0, 2, 2, 0],
(45, 0): [4, 0, 3, 1, 2, 1, 0],
(45, 1): [4, 0, 3, 1, 2, 1, 0],
(45, 2): [4, 0, 3, 1, 2, 1, 0],
(45, 3): [4, 0, 2, 2, 2, 0, 0],
(45, 4): [4, 0, 2, 2, 2, 0, 0],
(46, 0): [3, 0, 3, 2, 1, 1, 0],
(46, 1): [3, 0, 3, 2, 1, 1, 0],
(46, 2): [3, 0, 3, 2, 1, 1, 0],
(46, 3): [4, 0, 4, 2, 0, 2, 0],
(46, 4): [4, 0, 4, 2, 0, 2, 0],
(47, 0): [6, 1, 3, 2, 2, 0, 0],
(47, 1): [6, 1, 3, 2, 2, 0, 0],
(48, 0): [5, 3, 1, 0, 2, 2, 0],
(48, 1): [5, 3, 1, 0, 2, 2, 0],
(49, 0): [6, 2, 2, 0, 2, 2, 0],
(49, 1): [6, 2, 2, 0, 2, 2, 0],
(50, 0): [7, 1, 3, 0, 2, 2, 0],
(50, 1): [7, 1, 3, 0, 2, 2, 0],
(51, 0): [5, 2, 1, 1, 2, 1, 0],
(51, 1): [5, 2, 1, 1, 2, 1, 0],
(51, 2): [4, 0, 0, 2, 2, 0, 0],
(51, 3): [5, 2, 1, 1, 2, 1, 0],
(51, 4): [4, 0, 0, 2, 2, 0, 0],
(52, 0): [4, 3, 2, 2, 1, 0, 0],
(52, 1): [4, 3, 2, 2, 1, 0, 0],
(52, 2): [4, 3, 2, 2, 1, 0, 0],
(53, 0): [3, 3, 3, 3, 0, 0, 0],
(53, 1): [3, 3, 3, 3, 0, 0, 0],
(54, 0): [3, 1, 2, 2, 0, 1, 0],
(54, 1): [3, 1, 2, 2, 0, 1, 0],
(54, 2): [3, 1, 2, 2, 0, 1, 0],
(55, 0): [2, 2, 2, 3, 0, 1, 0],
(55, 1): [2, 2, 2, 3, 0, 1, 0],
(56, 0): [1, 0, 3, 3, 1, 2, 0],
(56, 1): [1, 0, 3, 3, 1, 2, 0],
(56, 2): [0, 0, 4, 4, 2, 2, 0],
(56, 3): [0, 0, 4, 4, 2, 2, 0],
(56, 4): [1, 1, 2, 2, 1, 1, 0],
(56, 5): [1, 1, 2, 2, 1, 1, 0],
(57, 0): [5, 1, 3, 0, 2, 2, 0],
(57, 1): [6, 0, 3, 1, 2, 2, 0],
(57, 2): [6, 0, 3, 1, 2, 2, 0],
(57, 3): [5, 1, 3, 0, 2, 2, 0],
(57, 4): [3, 1, 2, 1, 0, 0, 0],
(58, 0): [3, 3, 1, 2, 2, 0, 0],
(58, 1): [4, 2, 1, 2, 2, 1, 0],
(58, 2): [4, 2, 1, 2, 2, 1, 0],
(58, 3): [3, 3, 1, 2, 2, 0, 0],
(58, 4): [3, 1, 2, 0, 0, 1, 0],
(59, 0): [3, 1, 3, 2, 2, 0, 0],
(59, 1): [4, 0, 3, 2, 2, 1, 0],
(59, 2): [4, 0, 3, 2, 2, 1, 0],
(59, 3): [3, 1, 3, 2, 2, 0, 0],
(59, 4): [3, 1, 2, 0, 0, 1, 0],
(60, 0): [4, 2, 2, 2, 2, 0, 0],
(60, 1): [5, 1, 2, 2, 2, 1, 0],
(60, 2): [5, 1, 2, 2, 2, 1, 0],
(60, 3): [4, 2, 2, 2, 2, 0, 0],
(60, 4): [3, 1, 0, 0, 2, 1, 0],
(61, 0): [2, 2, 2, 2, 2, 0, 0],
(61, 1): [4, 2, 2, 0, 2, 2, 0],
(61, 2): [6, 0, 0, 2, 4, 2, 0],
(61, 3): [3, 2, 2, 1, 2, 1, 0],
(61, 4): [3, 2, 2, 1, 2, 1, 0],
(61, 5): [3, 0, 0, 1, 2, 1, 0],
(61, 6): [4, 2, 2, 0, 2, 2, 0],
(61, 7): [2, 2, 2, 2, 2, 0, 0],
(62, 0): [1, 2, 2, 1, 2, 1, 0],
(62, 1): [2, 2, 2, 0, 2, 2, 0],
(62, 2): [3, 0, 0, 1, 2, 1, 0],
(62, 3): [2, 2, 2, 0, 2, 2, 0],
(62, 4): [1, 2, 2, 1, 2, 1, 0],
(63, 0): [0, 2, 3, 3, 2, 1, 0],
(63, 1): [0, 2, 3, 3, 2, 1, 0],
(63, 2): [0, 0, 3, 3, 3, 0, 0],
(63, 3): [0, 2, 2, 2, 1, 1, 0],
(63, 4): [0, 2, 2, 2, 1, 1, 0],
(64, 0): [4, 4, 0, 0, 2, 2, 0],
(64, 1): [4, 4, 0, 0, 2, 2, 0],
(64, 2): [4, 4, 0, 0, 2, 2, 0],
(64, 3): [4, 4, 0, 0, 2, 2, 0],
(65, 0): [4, 2, 2, 0, 2, 2, 0],
(65, 1): [4, 2, 2, 0, 2, 2, 0],
(65, 2): [4, 0, 0, 0, 2, 2, 0],
(65, 3): [4, 2, 2, 0, 2, 2, 0],
(65, 4): [4, 2, 2, 0, 2, 2, 0],
(65, 5): [4, 0, 0, 0, 2, 2, 0],
(65, 6): [4, 2, 2, 0, 2, 2, 0],
(66, 0): [2, 0, 2, 2, 2, 2, 0],
(66, 1): [2, 0, 2, 2, 2, 2, 0],
(66, 2): [4, 0, 0, 0, 2, 2, 0],
(66, 3): [2, 0, 2, 2, 2, 2, 0],
(66, 4): [2, 0, 2, 2, 2, 2, 0],
(66, 5): [4, 0, 0, 0, 2, 2, 0],
(66, 6): [2, 0, 2, 2, 2, 2, 0],
(67, 0): [2, 2, 2, 1, 1, 1, 1],
(68, 0): [1, 1, 1, 2, 2, 2, 0],
(68, 1): [1, 1, 1, 2, 2, 2, 0],
(69, 0): [4, 0, 1, 1, 2, 2, 1],
(69, 1): [4, 0, 1, 1, 2, 2, 1],
(69, 2): [4, 0, 1, 1, 2, 2, 1],
(69, 3): [4, 0, 0, 0, 2, 2, 2],
(69, 4): [4, 0, 0, 0, 2, 2, 2],
(70, 0): [1, 1, 2, 2, 1, 1, 1],
(70, 1): [1, 1, 2, 2, 1, 1, 1],
(70, 2): [2, 2, 2, 2, 0, 0, 2],
(70, 3): [2, 2, 2, 2, 0, 0, 2],
(71, 0): [1, 1, 2, 2, 2, 1, 1],
(71, 1): [1, 1, 2, 2, 2, 1, 1],
(71, 2): [1, 1, 2, 2, 2, 1, 1],
(71, 3): [1, 1, 2, 2, 2, 1, 1],
(71, 4): [2, 2, 2, 2, 0, 0, 0],
(71, 5): [2, 2, 2, 2, 0, 0, 0],
(72, 0): [3, 0, 3, 1, 2, 2, 0],
(72, 1): [4, 0, 3, 1, 1, 2, 1],
(72, 2): [4, 0, 3, 1, 1, 2, 1],
(72, 3): [4, 0, 3, 1, 1, 2, 1],
(72, 4): [3, 0, 3, 1, 2, 2, 0],
(72, 5): [4, 0, 3, 1, 1, 2, 1],
(72, 6): [3, 0, 3, 1, 2, 2, 0],
(72, 7): [3, 0, 2, 0, 1, 2, 1],
(72, 8): [3, 0, 2, 0, 1, 2, 1],
(72, 9): [3, 0, 2, 0, 1, 2, 1],
(73, 0): [3, 0, 2, 2, 1, 1, 1],
(73, 1): [4, 1, 2, 2, 1, 1, 1],
(73, 2): [4, 1, 2, 2, 1, 1, 1],
(73, 3): [3, 0, 2, 2, 1, 1, 1],
(73, 4): [3, 0, 2, 2, 1, 1, 1],
(73, 5): [4, 0, 2, 2, 2, 2, 0],
(73, 6): [4, 0, 2, 2, 2, 2, 0],
(73, 7): [3, 1, 2, 0, 2, 0, 0],
(73, 8): [3, 1, 2, 0, 2, 0, 0],
(74, 0): [0, 1, 3, 1, 2, 1, 2],
(74, 1): [0, 1, 3, 1, 2, 1, 2],
(74, 2): [1, 0, 3, 2, 1, 2, 1],
(74, 3): [0, 0, 4, 2, 2, 2, 2],
(74, 4): [1, 1, 2, 1, 1, 1, 1],
(74, 5): [0, 0, 4, 2, 2, 2, 2],
(74, 6): [1, 1, 2, 1, 1, 1, 1],
(75, 0): [0, 0, 3, 3, 3, 0, 0],
(75, 1): [0, 2, 3, 2, 2, 1, 1],
(75, 2): [0, 2, 3, 2, 2, 1, 1],
(75, 3): [0, 2, 3, 2, 2, 1, 1],
(75, 4): [0, 0, 3, 3, 3, 0, 0],
(75, 5): [0, 2, 2, 1, 1, 1, 1],
(75, 6): [0, 2, 2, 1, 1, 1, 1],
(76, 0): [0, 2, 3, 1, 1, 2, 1],
(76, 1): [1, 2, 3, 2, 1, 2, 0],
(76, 2): [0, 2, 3, 1, 1, 2, 1],
(76, 3): [0, 2, 3, 1, 1, 2, 1],
(76, 4): [1, 2, 3, 2, 1, 2, 0],
(76, 5): [1, 2, 3, 2, 1, 2, 0],
(76, 6): [0, 2, 3, 1, 1, 2, 1],
(76, 7): [1, 2, 3, 2, 1, 2, 0],
(76, 8): [1, 2, 2, 1, 0, 2, 1],
(76, 9): [1, 2, 2, 1, 0, 2, 1],
(76, 10): [1, 2, 2, 1, 0, 2, 1],
(77, 0): [2, 3, 0, 1, 0, 2, 2],
(77, 1): [3, 2, 0, 1, 1, 2, 2],
(77, 2): [3, 1, 0, 0, 1, 2, 2],
(77, 3): [3, 2, 0, 1, 1, 2, 2],
(77, 4): [3, 2, 0, 1, 1, 2, 2],
(77, 5): [2, 3, 0, 1, 0, 2, 2],
(77, 6): [3, 1, 0, 0, 1, 2, 2],
(78, 0): [0, 3, 1, 0, 2, 2, 0],
(78, 1): [2, 3, 1, 0, 0, 2, 2],
(78, 2): [2, 4, 0, 0, 2, 4, 2],
(78, 3): [2, 4, 0, 0, 2, 4, 2],
(78, 4): [2, 3, 1, 1, 1, 2, 1],
(78, 5): [2, 3, 1, 1, 1, 2, 1],
(78, 6): [2, 3, 1, 1, 1, 2, 1],
(78, 7): [2, 2, 0, 1, 1, 2, 1],
(78, 8): [2, 3, 1, 1, 1, 2, 1],
(78, 9): [2, 3, 1, 1, 1, 2, 1],
(78, 10): [2, 2, 0, 1, 1, 2, 1],
(78, 11): [2, 2, 0, 1, 1, 2, 1],
(78, 12): [2, 3, 1, 0, 0, 2, 2],
(78, 13): [2, 3, 1, 0, 0, 2, 2],
(78, 14): [0, 3, 1, 0, 2, 2, 0],
(79, 0): [1, 1, 1, 1, 2, 2, 2],
(79, 1): [2, 1, 0, 1, 1, 2, 2],
(79, 2): [1, 1, 1, 1, 2, 2, 2],
(79, 3): [1, 2, 1, 0, 1, 2, 2],
(80, 0): [4, 1, 3, 0, 0, 2, 2],
(80, 1): [4, 1, 3, 0, 0, 2, 2],
(80, 2): [4, 0, 2, 0, 0, 2, 2],
(80, 3): [4, 1, 3, 0, 0, 2, 2],
(80, 4): [4, 1, 3, 0, 0, 2, 2],
(80, 5): [4, 0, 2, 0, 0, 2, 2],
(80, 6): [4, 1, 3, 0, 0, 2, 2],
(81, 0): [0, 3, 1, 0, 2, 0, 2],
(81, 1): [1, 2, 1, 2, 2, 1, 2],
(81, 2): [0, 1, 1, 2, 2, 2, 2],
(81, 3): [1, 2, 1, 2, 2, 1, 2],
(81, 4): [1, 2, 1, 2, 2, 1, 2],
(81, 5): [0, 1, 1, 2, 2, 2, 2],
(81, 6): [0, 2, 2, 2, 2, 2, 2],
(81, 7): [1, 1, 0, 2, 2, 1, 2],
(81, 8): [0, 1, 1, 2, 2, 2, 2],
(81, 9): [1, 2, 1, 2, 2, 1, 2],
(81, 10): [0, 2, 2, 2, 2, 2, 2],
(81, 11): [1, 1, 0, 2, 2, 1, 2],
(81, 12): [1, 2, 1, 2, 2, 1, 2],
(81, 13): [0, 3, 1, 0, 2, 0, 2],
(81, 14): [1, 1, 2, 2, 0, 1, 0],
(82, 0): [0, 2, 2, 2, 2, 0, 2],
(82, 1): [1, 1, 2, 4, 2, 1, 2],
(82, 2): [0, 1, 2, 3, 2, 1, 2],
(82, 3): [1, 2, 2, 3, 2, 0, 2],
(82, 4): [1, 2, 2, 3, 2, 0, 2],
(82, 5): [0, 1, 2, 3, 2, 1, 2],
(82, 6): [0, 1, 2, 3, 2, 1, 2],
(82, 7): [1, 0, 0, 3, 2, 0, 2],
(82, 8): [0, 1, 2, 3, 2, 1, 2],
(82, 9): [1, 2, 2, 3, 2, 0, 2],
(82, 10): [0, 1, 2, 3, 2, 1, 2],
(82, 11): [1, 0, 0, 3, 2, 0, 2],
(82, 12): [1, 1, 2, 4, 2, 1, 2],
(82, 13): [0, 2, 2, 2, 2, 0, 2],
(82, 14): [1, 1, 2, 2, 0, 1, 0],
(83, 0): [1, 1, 3, 3, 0, 2, 2],
(83, 1): [0, 0, 3, 3, 1, 2, 2],
(83, 2): [0, 1, 4, 3, 1, 2, 2],
(83, 3): [1, 0, 2, 3, 0, 2, 2],
(83, 4): [0, 0, 3, 3, 1, 2, 2],
(83, 5): [1, 1, 3, 3, 0, 2, 2],
(83, 6): [1, 0, 3, 4, 1, 2, 2],
(83, 7): [0, 1, 3, 2, 0, 2, 2],
(83, 8): [1, 1, 2, 2, 1, 0, 0],
(84, 0): [1, 1, 2, 2, 2, 2, 1],
(84, 1): [1, 1, 2, 2, 2, 2, 1],
(84, 2): [2, 0, 2, 2, 2, 4, 2],
(84, 3): [2, 2, 2, 2, 2, 2, 0],
(84, 4): [0, 0, 2, 2, 2, 2, 2],
(84, 5): [2, 0, 2, 2, 0, 2, 0],
(84, 6): [0, 0, 2, 2, 2, 2, 2],
(84, 7): [2, 0, 2, 2, 2, 4, 2],
(84, 8): [2, 2, 0, 0, 4, 4, 2],
(84, 9): [1, 1, 2, 2, 2, 2, 1],
(84, 10): [1, 1, 2, 2, 2, 2, 1],
(84, 11): [1, 1, 0, 0, 2, 2, 1],
(84, 12): [2, 2, 2, 2, 2, 2, 0],
(84, 13): [0, 2, 2, 2, 2, 0, 0],
(89, 0): [6, 3, 2, 1, 0, 0, 0, 0],
(91, 0): [2, 2, 2, 1, 1, 0, 0, 0],
(103, 0): [6, 2, 2, 1, 1, 0, 0, 0],
(105, 0): [4, 2, 2, 1, 1, 0, 0, 0],
(105, 1): [4, 0, 2, 2, 0, 0, 0, 0],
(105, 2): [4, 2, 2, 1, 1, 0, 0, 0],
(106, 0): [4, 0, 2, 2, 0, 0, 0, 0, 0],
(107, 0): [0, 4, 2, 0, 2, 0, 0, 0, 0],
(108, 0): [0, 2, 2, 2, 2, 0, 0, 0, 0],
(109, 0): [3, 2, 1, 0, 0, 0, 0, 0],
(110, 0): [3, 2, 0, 0, 1, 0, 0, 0],
(111, 0): [3, 2, 0, 0, 1, 0, 0, 0],
(112, 0): [3, 2, 0, 0, 1, 0, 0, 0],
(113, 0): [6, 0, 0, 4, 2, 0, 0, 0],
(113, 1): [3, 0, 0, 2, 1, 0, 0, 0],
(114, 0): [0, 3, 3, 3, 0, 0, 0, 0, 0],
(115, 0): [3, 2, 0, 0, 1, 0, 0, 0],
(116, 0): [3, 0, 0, 2, 1, 0, 0, 0],
(117, 0): [8, 0, 4, 2, 2, 0, 0, 0],
(119, 0): [2, 2, 1, 1, 1, 1, 0, 0],
(119, 1): [2, 2, 1, 1, 1, 1, 0, 0],
(121, 0): [6, 2, 1, 1, 1, 1, 0, 0],
(122, 0): [0, 0, 2, 2, 2, 2, 0, 0, 0],
(122, 1): [0, 0, 2, 2, 2, 2, 0, 0, 0],
(123, 0): [1, 2, 2, 2, 0, 1, 0, 0, 0],
(123, 1): [1, 2, 2, 2, 0, 1, 0, 0, 0],
(124, 0): [4, 4, 0, 2, 2, 0, 0, 0],
(124, 1): [4, 4, 0, 2, 2, 0, 0, 0],
(125, 0): [7, 0, 3, 1, 2, 1, 0, 0],
(125, 1): [7, 0, 3, 1, 2, 1, 0, 0],
(126, 0): [4, 3, 0, 1, 2, 1, 0, 0],
(126, 1): [4, 3, 0, 1, 2, 1, 0, 0],
(127, 0): [3, 0, 0, 2, 2, 1, 0, 0, 0],
(128, 0): [2, 0, 1, 2, 2, 1, 0, 0],
(129, 0): [2, 4, 0, 0, 4, 2, 0, 0],
(129, 1): [2, 2, 1, 0, 2, 1, 0, 0],
(129, 2): [2, 2, 1, 0, 2, 1, 0, 0],
(130, 0): [4, 2, 1, 1, 1, 1, 0, 0],
(130, 1): [4, 2, 1, 1, 1, 1, 0, 0],
(130, 2): [4, 0, 2, 2, 0, 0, 0, 0],
(130, 3): [4, 2, 1, 1, 1, 1, 0, 0],
(130, 4): [4, 0, 2, 2, 0, 0, 0, 0],
(131, 0): [6, 3, 1, 2, 0, 1, 0, 0],
(131, 1): [6, 3, 1, 2, 0, 1, 0, 0],
(132, 0): [4, 4, 0, 0, 2, 2, 0, 0],
(133, 0): [2, 4, 0, 0, 2, 2, 0, 0, 0],
(134, 0): [3, 3, 1, 2, 0, 1, 0, 0],
(134, 1): [3, 3, 1, 2, 0, 1, 0, 0],
(135, 0): [4, 2, 2, 2, 2, 0, 0, 0],
(136, 0): [2, 3, 1, 2, 2, 0, 0, 0],
(137, 0): [0, 3, 3, 3, 0, 0, 0, 0],
(138, 0): [3, 0, 2, 0, 2, 1, 0, 0, 0],
(138, 1): [3, 0, 2, 0, 2, 1, 0, 0, 0],
(139, 0): [6, 4, 0, 2, 2, 0, 0, 0],
(139, 1): [6, 4, 0, 2, 2, 0, 0, 0],
(140, 0): [6, 4, 0, 0, 2, 2, 0, 0],
(141, 0): [6, 1, 3, 0, 2, 2, 0, 0],
(142, 0): [0, 0, 3, 3, 2, 1, 0, 0, 0],
(142, 1): [0, 0, 3, 3, 2, 1, 0, 0, 0],
(142, 2): [0, 1, 2, 2, 1, 1, 0, 0, 0],
(142, 3): [0, 1, 2, 2, 1, 1, 0, 0, 0],
(143, 0): [4, 1, 3, 0, 2, 2, 0, 0],
(143, 1): [6, 0, 3, 1, 2, 2, 0, 0],
(143, 2): [2, 1, 2, 1, 0, 0, 0, 0],
(144, 0): [4, 4, 0, 0, 2, 2, 0, 0],
(144, 1): [4, 4, 0, 0, 2, 2, 0, 0],
(144, 2): [4, 4, 0, 0, 2, 2, 0, 0],
(144, 3): [4, 4, 0, 0, 2, 2, 0, 0],
(145, 0): [2, 2, 2, 2, 2, 0, 0, 0],
(145, 1): [4, 1, 2, 2, 2, 1, 0, 0],
(145, 2): [2, 1, 2, 0, 0, 1, 0, 0],
(146, 0): [2, 1, 3, 2, 2, 0, 0, 0],
(146, 1): [4, 0, 3, 2, 2, 1, 0, 0],
(146, 2): [2, 1, 2, 0, 0, 1, 0, 0],
(147, 0): [0, 3, 1, 2, 2, 0, 0, 0],
(147, 1): [2, 2, 1, 2, 2, 1, 0, 0],
(147, 2): [2, 1, 2, 0, 0, 1, 0, 0],
(148, 0): [0, 1, 3, 2, 2, 0, 0, 0, 0],
(148, 1): [2, 0, 3, 2, 2, 1, 0, 0, 0],
(148, 2): [2, 1, 2, 0, 0, 1, 0, 0, 0],
(149, 0): [0, 2, 2, 2, 2, 0, 0, 0, 0],
(149, 1): [2, 1, 2, 2, 2, 1, 0, 0, 0],
(149, 2): [4, 0, 2, 2, 2, 2, 0, 0, 0],
(149, 3): [4, 2, 0, 0, 4, 2, 0, 0, 0],
(149, 4): [2, 1, 0, 0, 2, 1, 0, 0, 0],
(150, 0): [0, 1, 2, 2, 2, 1, 0, 0, 0],
(150, 1): [2, 0, 2, 2, 2, 2, 0, 0, 0],
(150, 2): [2, 1, 2, 0, 0, 1, 0, 0, 0],
(151, 0): [2, 2, 2, 0, 2, 2, 0, 0],
(151, 1): [4, 0, 0, 0, 2, 2, 0, 0],
(151, 2): [2, 2, 2, 0, 2, 2, 0, 0],
(151, 3): [4, 0, 0, 0, 2, 2, 0, 0],
(152, 0): [0, 0, 2, 2, 2, 2, 0, 0, 0],
(152, 1): [0, 0, 2, 2, 2, 2, 0, 0, 0],
(152, 2): [0, 0, 2, 2, 2, 2, 0, 0, 0],
(153, 0): [2, 1, 1, 1, 1, 1, 1, 0],
(154, 0): [0, 3, 3, 3, 0, 0, 0, 0],
(154, 1): [0, 3, 3, 3, 0, 0, 0, 0],
(155, 0): [6, 1, 1, 1, 1, 1, 1, 0],
(156, 0): [3, 0, 2, 1, 1, 1, 1, 0],
(156, 1): [3, 0, 2, 1, 1, 1, 1, 0],
(156, 2): [3, 0, 2, 1, 1, 1, 1, 0],
(156, 3): [4, 0, 2, 0, 2, 0, 2, 0],
(156, 4): [4, 0, 2, 0, 2, 0, 2, 0],
(157, 0): [5, 1, 3, 0, 2, 2, 0, 0],
(157, 1): [5, 1, 3, 0, 2, 2, 0, 0],
(158, 0): [3, 3, 1, 2, 2, 0, 0, 0],
(158, 1): [3, 3, 1, 2, 2, 0, 0, 0],
(159, 0): [4, 2, 2, 2, 2, 0, 0, 0],
(159, 1): [4, 2, 2, 2, 2, 0, 0, 0],
(160, 0): [2, 1, 1, 0, 2, 1, 1, 0],
(160, 1): [4, 0, 0, 0, 4, 2, 2, 0],
(160, 2): [4, 0, 0, 0, 4, 2, 2, 0],
(160, 3): [2, 1, 1, 0, 2, 1, 1, 0],
(160, 4): [2, 1, 1, 0, 2, 1, 1, 0],
(161, 0): [2, 2, 2, 2, 1, 1, 0, 0],
(161, 1): [2, 2, 2, 2, 1, 1, 0, 0],
(161, 2): [2, 2, 2, 2, 1, 1, 0, 0],
(162, 0): [2, 1, 2, 1, 1, 1, 1, 0],
(162, 1): [2, 1, 2, 1, 1, 1, 1, 0],
(162, 2): [2, 1, 2, 1, 1, 1, 1, 0],
(162, 3): [2, 1, 2, 1, 1, 1, 1, 0],
(163, 0): [0, 2, 2, 2, 1, 0, 1, 0],
(163, 1): [0, 2, 2, 2, 1, 0, 1, 0],
(163, 2): [0, 2, 2, 2, 1, 0, 1, 0],
(164, 0): [0, 2, 3, 1, 2, 0, 1, 0],
(164, 1): [0, 2, 3, 1, 2, 0, 1, 0],
(164, 2): [0, 2, 3, 1, 2, 0, 1, 0],
(165, 0): [5, 0, 3, 0, 2, 1, 1, 0],
(165, 1): [5, 0, 3, 0, 2, 1, 1, 0],
(165, 2): [5, 0, 3, 0, 2, 1, 1, 0],
(166, 0): [5, 2, 1, 0, 1, 2, 1, 0],
(166, 1): [5, 2, 1, 0, 1, 2, 1, 0],
(167, 0): [6, 1, 2, 1, 0, 2, 1, 0],
(167, 1): [6, 1, 2, 1, 0, 2, 1, 0],
(168, 0): [4, 1, 2, 1, 2, 1, 0, 0],
(168, 1): [4, 1, 2, 1, 2, 1, 0, 0],
(168, 2): [4, 1, 2, 1, 2, 1, 0, 0],
(169, 0): [4, 3, 2, 2, 1, 0, 0, 0],
(170, 0): [4, 1, 1, 1, 1, 1, 1, 0],
(170, 1): [4, 1, 1, 1, 1, 1, 1, 0],
(170, 2): [4, 0, 0, 0, 0, 2, 2, 0],
(171, 0): [3, 3, 0, 0, 2, 1, 1, 0],
(171, 1): [3, 3, 0, 0, 2, 1, 1, 0],
(172, 0): [3, 2, 1, 0, 2, 1, 1, 0],
(172, 1): [3, 2, 1, 0, 2, 1, 1, 0],
(172, 2): [3, 2, 1, 0, 2, 1, 1, 0],
(173, 0): [2, 3, 2, 2, 0, 0, 1, 0],
(173, 1): [2, 3, 2, 2, 0, 0, 1, 0],
(173, 2): [2, 3, 2, 2, 0, 0, 1, 0],
(174, 0): [2, 0, 2, 1, 2, 1, 1, 0],
(174, 1): [2, 0, 2, 1, 2, 1, 1, 0],
(174, 2): [2, 0, 2, 1, 2, 1, 1, 0],
(175, 0): [1, 2, 1, 1, 0, 2, 1, 0, 0],
(175, 1): [1, 2, 1, 1, 0, 2, 1, 0, 0],
(175, 2): [1, 2, 1, 1, 0, 2, 1, 0, 0],
(176, 0): [6, 1, 1, 2, 2, 1, 0, 0],
(176, 1): [6, 1, 1, 2, 2, 1, 0, 0],
(177, 0): [3, 0, 3, 1, 2, 0, 1, 0],
(177, 1): [4, 0, 3, 0, 2, 1, 1, 0],
(177, 2): [4, 0, 3, 0, 2, 1, 1, 0],
(177, 3): [3, 0, 3, 1, 2, 0, 1, 0],
(177, 4): [4, 0, 3, 0, 2, 1, 1, 0],
(177, 5): [3, 0, 3, 1, 2, 0, 1, 0],
(177, 6): [3, 0, 2, 1, 2, 1, 0, 0],
(177, 7): [3, 0, 2, 1, 2, 1, 0, 0],
(178, 0): [3, 1, 3, 2, 2, 0, 0, 0],
(178, 1): [4, 0, 3, 2, 2, 1, 0, 0],
(178, 2): [4, 0, 3, 2, 2, 1, 0, 0],
(178, 3): [4, 0, 3, 2, 2, 1, 0, 0],
(178, 4): [3, 1, 3, 2, 2, 0, 0, 0],
(178, 5): [3, 1, 2, 0, 0, 1, 0, 0],
(178, 6): [3, 1, 2, 0, 0, 1, 0, 0],
(179, 0): [3, 2, 2, 1, 1, 1, 0, 0],
(179, 1): [4, 1, 2, 1, 1, 1, 1, 0],
(179, 2): [4, 1, 2, 1, 1, 1, 1, 0],
(179, 3): [4, 1, 2, 1, 1, 1, 1, 0],
(179, 4): [3, 2, 2, 1, 1, 1, 0, 0],
(179, 5): [3, 1, 0, 0, 2, 0, 1, 0],
(179, 6): [3, 2, 2, 1, 1, 1, 0, 0],
(179, 7): [3, 1, 0, 0, 2, 0, 1, 0],
(180, 0): [4, 1, 2, 1, 2, 0, 1, 0],
(180, 1): [5, 0, 2, 1, 2, 1, 1, 0],
(180, 2): [5, 0, 2, 1, 2, 1, 1, 0],
(180, 3): [5, 0, 2, 1, 2, 1, 1, 0],
(180, 4): [4, 1, 2, 1, 2, 0, 1, 0],
(180, 5): [3, 1, 0, 0, 2, 1, 0, 0],
(180, 6): [4, 1, 2, 1, 2, 0, 1, 0],
(180, 7): [3, 1, 0, 0, 2, 1, 0, 0],
(181, 0): [0, 2, 0, 1, 2, 2, 1, 0, 0],
(181, 1): [1, 1, 0, 2, 2, 2, 1, 0, 0],
(181, 2): [1, 1, 0, 2, 2, 2, 1, 0, 0],
(181, 3): [0, 2, 0, 1, 2, 2, 1, 0, 0],
(182, 0): [2, 2, 2, 2, 2, 0, 0, 0],
(182, 1): [3, 2, 2, 1, 2, 0, 1, 0],
(182, 2): [3, 0, 0, 1, 2, 0, 1, 0],
(182, 3): [3, 2, 2, 1, 2, 0, 1, 0],
(182, 4): [3, 2, 2, 1, 2, 0, 1, 0],
(182, 5): [3, 0, 0, 1, 2, 0, 1, 0],
(182, 6): [2, 2, 2, 2, 2, 0, 0, 0],
(183, 0): [2, 2, 1, 1, 2, 1, 0, 0],
(183, 1): [3, 2, 1, 0, 2, 1, 1, 0],
(183, 2): [3, 2, 1, 0, 2, 1, 1, 0],
(183, 3): [3, 0, 0, 1, 2, 0, 1, 0],
(183, 4): [3, 2, 1, 0, 2, 1, 1, 0],
(183, 5): [3, 2, 1, 0, 2, 1, 1, 0],
(183, 6): [3, 0, 0, 1, 2, 0, 1, 0],
(183, 7): [2, 2, 1, 1, 2, 1, 0, 0],
(184, 0): [2, 2, 0, 2, 0, 2, 2, 0],
(184, 1): [1, 2, 0, 2, 1, 2, 1, 0],
(184, 2): [3, 0, 0, 0, 1, 2, 1, 0],
(184, 3): [1, 2, 0, 2, 1, 2, 1, 0],
(184, 4): [3, 0, 0, 0, 1, 2, 1, 0],
(184, 5): [1, 2, 0, 2, 1, 2, 1, 0],
(184, 6): [2, 2, 0, 2, 0, 2, 2, 0],
(185, 0): [0, 0, 3, 1, 2, 2, 1, 0],
(185, 1): [0, 0, 3, 1, 2, 2, 1, 0],
(185, 2): [0, 0, 3, 1, 2, 2, 1, 0],
(185, 3): [0, 1, 2, 1, 1, 1, 1, 0],
(185, 4): [0, 1, 2, 1, 1, 1, 1, 0],
(185, 5): [0, 1, 2, 1, 1, 1, 1, 0],
(186, 0): [4, 2, 2, 0, 0, 2, 2, 0],
(186, 1): [4, 2, 2, 0, 0, 2, 2, 0],
(186, 2): [4, 2, 2, 0, 0, 2, 2, 0],
(187, 0): [4, 1, 3, 0, 0, 2, 2, 0],
(187, 1): [4, 1, 3, 0, 0, 2, 2, 0],
(187, 2): [4, 1, 3, 0, 0, 2, 2, 0],
(187, 3): [4, 1, 3, 0, 0, 2, 2, 0],
(188, 0): [2, 4, 0, 0, 0, 2, 2, 0],
(188, 1): [3, 3, 0, 1, 0, 2, 2, 0],
(188, 2): [3, 3, 0, 1, 0, 2, 2, 0],
(188, 3): [2, 4, 0, 0, 0, 2, 2, 0],
(189, 0): [4, 3, 0, 0, 1, 2, 1, 0],
(189, 1): [4, 3, 0, 0, 1, 2, 1, 0],
(189, 2): [4, 3, 0, 0, 1, 2, 1, 0],
(189, 3): [4, 2, 0, 0, 2, 2, 0, 0],
(189, 4): [4, 3, 0, 0, 1, 2, 1, 0],
(189, 5): [4, 2, 0, 0, 2, 2, 0, 0],
(189, 6): [4, 3, 0, 0, 1, 2, 1, 0],
(190, 0): [4, 1, 2, 0, 1, 2, 1, 0],
(190, 1): [4, 1, 2, 0, 1, 2, 1, 0],
(190, 2): [4, 0, 0, 0, 2, 2, 0, 0],
(190, 3): [4, 1, 2, 0, 1, 2, 1, 0],
(190, 4): [4, 1, 2, 0, 1, 2, 1, 0],
(190, 5): [4, 0, 0, 0, 2, 2, 0, 0],
(190, 6): [4, 1, 2, 0, 1, 2, 1, 0],
(191, 0): [2, 1, 3, 0, 0, 2, 2, 0],
(191, 1): [4, 0, 2, 1, 1, 2, 2, 0],
(191, 2): [3, 1, 2, 1, 0, 2, 2, 0],
(191, 3): [3, 0, 3, 0, 1, 2, 2, 0],
(191, 4): [3, 0, 3, 0, 1, 2, 2, 0],
(191, 5): [3, 1, 2, 1, 0, 2, 2, 0],
(191, 6): [4, 0, 2, 1, 1, 2, 2, 0],
(191, 7): [2, 1, 3, 0, 0, 2, 2, 0],
(191, 8): [2, 1, 1, 1, 1, 0, 0, 0],
(192, 0): [2, 2, 2, 2, 2, 0, 0, 0],
(192, 1): [4, 1, 1, 2, 2, 1, 1, 0],
(192, 2): [3, 1, 2, 2, 2, 0, 1, 0],
(192, 3): [3, 2, 1, 2, 2, 1, 0, 0],
(192, 4): [4, 1, 1, 2, 2, 1, 1, 0],
(192, 5): [2, 2, 2, 2, 2, 0, 0, 0],
(192, 6): [2, 1, 1, 0, 0, 1, 1, 0],
(193, 0): [0, 1, 3, 2, 2, 0, 0, 0],
(193, 1): [2, 0, 2, 2, 2, 1, 1, 0],
(193, 2): [2, 1, 1, 2, 2, 0, 2, 0],
(193, 3): [2, 0, 2, 2, 2, 1, 1, 0],
(193, 4): [2, 0, 2, 2, 2, 1, 1, 0],
(193, 5): [2, 1, 1, 2, 2, 0, 2, 0],
(193, 6): [2, 0, 2, 2, 2, 1, 1, 0],
(193, 7): [2, 1, 1, 0, 0, 1, 1, 0],
(193, 8): [0, 1, 3, 2, 2, 0, 0, 0],
(194, 0): [0, 2, 2, 2, 2, 0, 0, 0],
(194, 1): [2, 1, 2, 2, 1, 1, 1, 0],
(194, 2): [4, 0, 2, 2, 0, 2, 2, 0],
(194, 3): [2, 0, 2, 2, 2, 2, 0, 0],
(194, 4): [4, 0, 2, 2, 0, 2, 2, 0],
(194, 5): [4, 2, 0, 0, 2, 2, 2, 0],
(194, 6): [2, 1, 2, 2, 1, 1, 1, 0],
(194, 7): [2, 1, 2, 2, 1, 1, 1, 0],
(194, 8): [2, 1, 0, 0, 1, 1, 1, 0],
(194, 9): [2, 2, 2, 2, 0, 0, 2, 0],
(194, 10): [0, 2, 2, 2, 2, 0, 0, 0],
(195, 0): [0, 1, 1, 2, 2, 1, 1, 0, 0],
(195, 1): [2, 0, 0, 2, 2, 2, 2, 0, 0],
(195, 2): [1, 0, 1, 2, 2, 2, 1, 0, 0],
(195, 3): [1, 1, 0, 2, 2, 1, 2, 0, 0],
(195, 4): [2, 0, 0, 2, 2, 2, 2, 0, 0],
(195, 5): [2, 1, 1, 0, 0, 1, 1, 0, 0],
(195, 6): [0, 1, 1, 2, 2, 1, 1, 0, 0],
(196, 0): [2, 2, 2, 0, 0, 2, 2, 0],
(196, 1): [2, 2, 2, 0, 0, 2, 2, 0],
(196, 2): [4, 0, 0, 0, 0, 2, 2, 0],
(196, 3): [2, 2, 2, 0, 0, 2, 2, 0],
(196, 4): [2, 2, 2, 0, 0, 2, 2, 0],
(197, 0): [1, 1, 1, 1, 1, 1, 1, 1],
(198, 0): [1, 1, 1, 1, 1, 1, 1, 1],
(198, 1): [2, 2, 2, 2, 0, 0, 0, 0],
(199, 0): [3, 0, 1, 1, 1, 1, 1, 1],
(199, 1): [3, 0, 1, 1, 1, 1, 1, 1],
(199, 2): [4, 0, 0, 0, 0, 2, 2, 2],
(200, 0): [0, 2, 2, 2, 1, 1, 1, 0],
(200, 1): [0, 2, 2, 2, 1, 1, 1, 0],
(200, 2): [0, 2, 2, 2, 1, 1, 1, 0],
(201, 0): [1, 1, 2, 1, 1, 1, 1, 1],
(201, 1): [1, 1, 2, 1, 1, 1, 1, 1],
(201, 2): [1, 1, 2, 1, 1, 1, 1, 1],
(202, 0): [0, 0, 1, 2, 1, 1, 2, 2],
(202, 1): [0, 0, 1, 2, 1, 1, 2, 2],
(202, 2): [0, 1, 1, 1, 1, 1, 1, 1],
(203, 0): [3, 1, 2, 0, 2, 0, 1, 1],
(203, 1): [3, 1, 2, 0, 2, 0, 1, 1],
(203, 2): [3, 1, 2, 0, 2, 0, 1, 1],
(203, 3): [3, 1, 2, 0, 2, 0, 1, 1],
(204, 0): [3, 0, 1, 1, 2, 2, 1, 0],
(204, 1): [4, 0, 1, 1, 2, 2, 0, 1],
(204, 2): [4, 0, 1, 1, 2, 2, 0, 1],
(204, 3): [3, 0, 1, 1, 2, 2, 1, 0],
(204, 4): [4, 0, 1, 1, 2, 2, 0, 1],
(204, 5): [3, 0, 0, 0, 2, 2, 1, 1],
(204, 6): [3, 0, 0, 0, 2, 2, 1, 1],
(205, 0): [0, 2, 3, 1, 2, 1, 0, 1],
(205, 1): [0, 2, 3, 1, 2, 1, 0, 1],
(205, 2): [0, 2, 3, 2, 1, 1, 1, 0],
(205, 3): [0, 2, 2, 1, 1, 0, 1, 1],
(205, 4): [0, 2, 2, 1, 1, 0, 1, 1],
(206, 0): [2, 3, 0, 0, 0, 1, 2, 1],
(206, 1): [3, 3, 0, 1, 0, 1, 2, 1],
(206, 2): [3, 3, 0, 1, 0, 1, 2, 1],
(206, 3): [3, 3, 0, 1, 0, 1, 2, 1],
(206, 4): [3, 2, 0, 1, 0, 2, 2, 0],
(206, 5): [3, 3, 0, 1, 0, 1, 2, 1],
(206, 6): [3, 2, 0, 1, 0, 2, 2, 0],
(206, 7): [2, 3, 0, 0, 0, 1, 2, 1],
(206, 8): [2, 3, 0, 0, 0, 1, 2, 1],
(207, 0): [2, 2, 1, 0, 0, 1, 2, 1],
(207, 1): [3, 1, 1, 0, 1, 1, 2, 1],
(207, 2): [3, 1, 1, 0, 1, 1, 2, 1],
(207, 3): [3, 1, 0, 0, 1, 0, 2, 2],
(207, 4): [3, 1, 1, 0, 1, 1, 2, 1],
(207, 5): [3, 1, 1, 0, 1, 1, 2, 1],
(207, 6): [3, 1, 0, 0, 1, 0, 2, 2],
(207, 7): [3, 1, 0, 0, 1, 0, 2, 2],
(207, 8): [2, 2, 1, 0, 0, 1, 2, 1],
(207, 9): [2, 2, 1, 0, 0, 1, 2, 1],
(208, 0): [2, 1, 1, 0, 1, 1, 1, 1],
(208, 1): [4, 0, 0, 0, 2, 2, 2, 2],
(208, 2): [3, 1, 1, 1, 1, 1, 1, 1],
(208, 3): [3, 0, 0, 1, 2, 2, 0, 0],
(208, 4): [2, 1, 1, 0, 1, 1, 1, 1],
(209, 0): [0, 1, 3, 0, 2, 2, 0, 0],
(209, 1): [2, 1, 2, 0, 2, 1, 1, 1],
(209, 2): [2, 1, 2, 0, 2, 1, 1, 1],
(209, 3): [2, 0, 1, 0, 2, 1, 1, 1],
(209, 4): [2, 0, 1, 0, 2, 1, 1, 1],
(209, 5): [2, 1, 2, 0, 2, 1, 1, 1],
(209, 6): [2, 1, 2, 0, 2, 1, 1, 1],
(209, 7): [2, 0, 1, 0, 2, 1, 1, 1],
(209, 8): [0, 1, 3, 0, 2, 2, 0, 0],
(210, 0): [1, 1, 2, 2, 2, 1, 1, 0],
(210, 1): [1, 0, 2, 2, 2, 1, 0, 1],
(210, 2): [1, 0, 2, 2, 2, 1, 0, 1],
(210, 3): [1, 1, 2, 2, 2, 1, 1, 0],
(210, 4): [1, 1, 2, 2, 2, 1, 1, 0],
(210, 5): [0, 1, 2, 2, 2, 0, 1, 1],
(211, 0): [0, 1, 1, 2, 2, 1, 1, 1],
(211, 1): [1, 2, 1, 2, 2, 0, 1, 1],
(211, 2): [0, 1, 1, 2, 2, 1, 1, 1],
(211, 3): [1, 2, 1, 2, 2, 0, 1, 1],
(211, 4): [1, 2, 1, 2, 2, 0, 1, 1],
(211, 5): [0, 1, 1, 2, 2, 1, 1, 1],
(211, 6): [0, 1, 1, 2, 2, 1, 1, 1],
(211, 7): [1, 2, 1, 2, 2, 0, 1, 1],
(211, 8): [1, 1, 2, 2, 0, 1, 0, 0],
(211, 9): [1, 1, 2, 2, 0, 1, 0, 0],
(212, 0): [1, 1, 2, 0, 1, 2, 0, 2],
(212, 1): [0, 1, 1, 1, 2, 2, 1, 1],
(212, 2): [1, 0, 1, 1, 1, 2, 1, 1],
(212, 3): [1, 0, 1, 1, 1, 2, 1, 1],
(212, 4): [0, 1, 1, 1, 2, 2, 1, 1],
(212, 5): [0, 1, 1, 1, 2, 2, 1, 1],
(212, 6): [0, 1, 1, 1, 2, 2, 1, 1],
(212, 7): [1, 0, 1, 1, 1, 2, 1, 1],
(212, 8): [1, 1, 2, 0, 1, 2, 0, 2],
(212, 9): [1, 1, 2, 0, 1, 2, 0, 2],
(213, 0): [0, 1, 1, 2, 2, 0, 1, 0],
(213, 1): [2, 0, 0, 2, 2, 1, 1, 1],
(213, 2): [2, 1, 1, 2, 2, 1, 0, 1],
(213, 3): [2, 1, 1, 2, 2, 1, 0, 1],
(213, 4): [2, 0, 0, 2, 2, 1, 1, 1],
(213, 5): [2, 1, 1, 2, 2, 1, 0, 1],
(213, 6): [0, 1, 1, 2, 2, 0, 1, 0],
(214, 0): [2, 1, 2, 0, 2, 0, 1, 1],
(214, 1): [4, 0, 2, 1, 2, 1, 1, 1],
(214, 2): [4, 0, 2, 1, 2, 1, 1, 1],
(214, 3): [3, 1, 2, 1, 2, 0, 1, 1],
(214, 4): [3, 0, 2, 0, 2, 1, 1, 1],
(214, 5): [3, 0, 2, 0, 2, 1, 1, 1],
(214, 6): [3, 1, 2, 0, 2, 1, 2, 0],
(214, 7): [3, 0, 0, 1, 2, 0, 2, 0],
(214, 8): [3, 0, 2, 0, 2, 1, 1, 1],
(214, 9): [3, 1, 2, 1, 2, 0, 1, 1],
(214, 10): [3, 1, 2, 1, 2, 0, 1, 1],
(214, 11): [3, 1, 2, 1, 2, 0, 1, 1],
(214, 12): [3, 0, 2, 0, 2, 1, 1, 1],
(214, 13): [3, 1, 2, 0, 2, 1, 2, 0],
(214, 14): [3, 1, 2, 0, 2, 1, 2, 0],
(214, 15): [3, 0, 0, 1, 2, 0, 2, 0],
(214, 16): [4, 0, 2, 1, 2, 1, 1, 1],
(214, 17): [2, 1, 2, 0, 2, 0, 1, 1],
(214, 18): [2, 1, 2, 0, 2, 0, 1, 1],
(214, 19): [2, 1, 2, 1, 0, 1, 0, 0],
(214, 20): [2, 1, 2, 1, 0, 1, 0, 0],
(215, 0): [2, 2, 1, 1, 1, 1, 1, 1],
(215, 1): [2, 2, 1, 1, 1, 1, 1, 1],
(215, 2): [2, 2, 2, 2, 0, 0, 2, 2],
(215, 3): [2, 2, 0, 1, 1, 0, 1, 2],
(215, 4): [2, 2, 1, 1, 1, 1, 1, 1],
(215, 5): [2, 2, 2, 2, 0, 0, 2, 2],
(215, 6): [2, 2, 1, 1, 1, 1, 1, 1],
(215, 7): [2, 0, 2, 1, 1, 0, 1, 0],
(215, 8): [2, 2, 1, 1, 1, 1, 1, 1],
(215, 9): [2, 2, 1, 1, 1, 1, 1, 1],
(215, 10): [2, 2, 1, 0, 0, 1, 2, 1],
(215, 11): [2, 2, 0, 1, 1, 0, 1, 2],
(215, 12): [2, 2, 1, 1, 1, 1, 1, 1],
(215, 13): [2, 0, 2, 1, 1, 0, 1, 0],
(216, 0): [2, 2, 1, 2, 2, 1, 1, 0],
(216, 1): [2, 2, 0, 2, 1, 1, 1, 1],
(216, 2): [2, 2, 1, 2, 1, 2, 0, 1],
(216, 3): [2, 2, 0, 2, 1, 1, 1, 1],
(216, 4): [2, 0, 1, 2, 1, 0, 0, 1],
(216, 5): [2, 2, 0, 2, 1, 1, 1, 1],
(216, 6): [2, 2, 0, 2, 1, 1, 1, 1],
(216, 7): [2, 2, 0, 0, 2, 2, 0, 0],
(216, 8): [2, 2, 0, 2, 1, 1, 1, 1],
(216, 9): [2, 2, 0, 2, 1, 1, 1, 1],
(216, 10): [2, 2, 1, 2, 1, 2, 0, 1],
(216, 11): [2, 2, 0, 0, 2, 2, 0, 0],
(216, 12): [2, 2, 0, 2, 1, 1, 1, 1],
(216, 13): [2, 0, 1, 2, 1, 0, 0, 1],
(217, 0): [2, 2, 1, 1, 0, 0, 2, 2],
(217, 1): [3, 1, 0, 1, 0, 0, 2, 2],
(217, 2): [2, 2, 1, 1, 0, 0, 2, 2],
(217, 3): [2, 2, 1, 1, 0, 0, 2, 2],
(217, 4): [1, 3, 1, 0, 0, 0, 2, 2],
(217, 5): [2, 2, 1, 1, 0, 0, 2, 2],
(218, 0): [0, 2, 2, 2, 2, 2, 2, 0],
(218, 1): [2, 2, 2, 0, 0, 2, 2, 2],
(218, 2): [2, 1, 1, 1, 1, 1, 1, 2],
(218, 3): [2, 0, 2, 2, 0, 0, 2, 2],
(218, 4): [2, 1, 1, 1, 1, 1, 1, 2],
(218, 5): [2, 0, 0, 2, 2, 0, 0, 2],
(218, 6): [0, 1, 1, 1, 1, 1, 1, 0],
(219, 0): [0, 0, 1, 2, 1, 1, 2, 2],
(219, 1): [1, 1, 0, 1, 2, 2, 2, 2],
(219, 2): [0, 1, 1, 1, 1, 2, 2, 2],
(219, 3): [1, 0, 0, 2, 2, 1, 2, 2],
(219, 4): [0, 1, 1, 1, 1, 2, 2, 2],
(219, 5): [1, 0, 0, 0, 0, 3, 2, 2],
(219, 6): [1, 0, 0, 2, 2, 1, 2, 2],
(219, 7): [0, 1, 1, 1, 1, 2, 2, 2],
(219, 8): [1, 1, 0, 1, 2, 2, 2, 2],
(219, 9): [0, 0, 1, 2, 1, 1, 2, 2],
(219, 10): [1, 1, 1, 1, 1, 1, 0, 0],
(220, 0): [5, 2, 1, 1, 1, 0, 0, 0, 0],
(224, 0): [4, 4, 2, 2, 0, 0, 0, 0, 0],
(226, 0): [6, 3, 0, 2, 1, 0, 0, 0, 0],
(226, 1): [6, 3, 0, 2, 1, 0, 0, 0, 0],
(231, 0): [1, 1, 1, 1, 1, 1, 0, 0, 0],
(245, 0): [5, 1, 1, 1, 1, 1, 0, 0, 0],
(250, 0): [3, 1, 1, 1, 1, 1, 0, 0, 0],
(250, 1): [4, 0, 0, 0, 2, 2, 0, 0, 0],
(250, 2): [3, 1, 1, 1, 1, 1, 0, 0, 0],
(254, 0): [4, 2, 0, 2, 1, 1, 0, 0, 0],
(254, 1): [4, 2, 0, 2, 1, 1, 0, 0, 0],
(256, 0): [4, 0, 2, 2, 0, 0, 0, 0, 0, 0],
(257, 0): [6, 2, 1, 2, 0, 1, 0, 0, 0],
(257, 1): [6, 2, 1, 2, 0, 1, 0, 0, 0],
(258, 0): [4, 2, 2, 0, 1, 1, 0, 0, 0],
(258, 1): [4, 2, 2, 0, 1, 1, 0, 0, 0],
(260, 0): [2, 2, 1, 2, 0, 1, 0, 0, 0],
(260, 1): [2, 2, 1, 2, 0, 1, 0, 0, 0],
(265, 0): [2, 2, 0, 2, 1, 1, 0, 0, 0],
(265, 1): [2, 2, 0, 2, 1, 1, 0, 0, 0],
(266, 0): [2, 0, 0, 2, 2, 2, 0, 0, 0, 0],
(268, 0): [6, 0, 2, 2, 1, 1, 0, 0, 0],
(268, 1): [6, 0, 2, 2, 1, 1, 0, 0, 0],
(269, 0): [3, 0, 2, 2, 0, 1, 0, 0, 0, 0],
(269, 1): [3, 0, 2, 2, 0, 1, 0, 0, 0, 0],
(271, 0): [3, 2, 0, 0, 1, 0, 0, 0, 0],
(271, 1): [3, 2, 0, 0, 1, 0, 0, 0, 0],
(272, 0): [4, 4, 2, 2, 0, 0, 0, 0, 0],
(272, 1): [4, 4, 2, 2, 0, 0, 0, 0, 0],
(273, 0): [3, 0, 2, 0, 0, 1, 0, 0, 0],
(273, 1): [3, 0, 2, 0, 0, 1, 0, 0, 0],
(274, 0): [3, 0, 2, 0, 0, 1, 0, 0, 0],
(274, 1): [3, 0, 2, 0, 0, 1, 0, 0, 0],
(275, 0): [6, 4, 0, 2, 2, 0, 0, 0, 0],
(276, 0): [3, 0, 0, 2, 0, 1, 0, 0, 0],
(276, 1): [3, 0, 0, 2, 0, 1, 0, 0, 0],
(278, 0): [2, 1, 1, 1, 0, 0, 0, 0, 0],
(279, 0): [2, 1, 1, 0, 0, 1, 0, 0, 0],
(280, 0): [2, 1, 1, 0, 0, 1, 0, 0, 0, 0],
(281, 0): [2, 1, 1, 0, 0, 1, 0, 0, 0],
(282, 0): [4, 4, 0, 0, 2, 2, 0, 0, 0],
(283, 0): [4, 2, 0, 0, 2, 2, 0, 0, 0, 0],
(283, 1): [2, 1, 0, 0, 1, 1, 0, 0, 0, 0],
(284, 0): [2, 1, 0, 0, 1, 1, 0, 0, 0],
(285, 0): [2, 1, 0, 0, 1, 1, 0, 0, 0, 0],
(286, 0): [0, 4, 0, 0, 2, 2, 0, 0, 0, 0],
(287, 0): [1, 2, 1, 0, 0, 1, 0, 0, 0, 0],
(288, 0): [0, 0, 2, 2, 1, 1, 0, 0, 0],
(288, 1): [0, 0, 2, 2, 1, 1, 0, 0, 0],
(289, 0): [0, 2, 0, 2, 2, 2, 0, 0, 0, 0],
(290, 0): [4, 0, 2, 2, 1, 1, 0, 0, 0],
(290, 1): [4, 0, 2, 2, 1, 1, 0, 0, 0],
(290, 2): [4, 0, 2, 2, 1, 1, 0, 0, 0],
(290, 3): [4, 0, 0, 2, 2, 0, 0, 0, 0],
(290, 4): [4, 0, 2, 2, 1, 1, 0, 0, 0],
(299, 0): [2, 2, 0, 1, 1, 1, 1, 0, 0],
(299, 1): [2, 2, 0, 1, 1, 1, 1, 0, 0],
(299, 2): [2, 2, 0, 1, 1, 1, 1, 0, 0],
(302, 0): [3, 3, 1, 0, 2, 0, 1, 0, 0],
(302, 1): [3, 3, 1, 0, 2, 0, 1, 0, 0],
(303, 0): [2, 2, 0, 1, 1, 1, 1, 0, 0, 0],
(303, 1): [2, 2, 0, 1, 1, 1, 1, 0, 0, 0],
(303, 2): [2, 2, 0, 1, 1, 1, 1, 0, 0, 0],
(304, 0): [3, 0, 3, 0, 2, 0, 1, 0, 0],
(304, 1): [3, 0, 3, 0, 2, 0, 1, 0, 0],
(304, 2): [3, 0, 3, 0, 2, 0, 1, 0, 0],
(305, 0): [5, 0, 3, 2, 1, 0, 1, 0, 0],
(305, 1): [5, 0, 3, 2, 1, 0, 1, 0, 0],
(306, 0): [4, 2, 0, 2, 1, 0, 1, 0, 0],
(306, 1): [4, 2, 0, 2, 1, 0, 1, 0, 0],
(306, 2): [4, 2, 0, 2, 1, 0, 1, 0, 0],
(307, 0): [0, 2, 2, 1, 0, 1, 1, 0, 0, 0],
(307, 1): [0, 2, 2, 1, 0, 1, 1, 0, 0, 0],
(308, 0): [4, 3, 0, 1, 2, 1, 0, 0, 0],
(308, 1): [4, 3, 0, 1, 2, 1, 0, 0, 0],
(309, 0): [4, 4, 0, 0, 2, 2, 0, 0, 0, 0],
(310, 0): [6, 0, 2, 1, 1, 1, 1, 0, 0],
(310, 1): [6, 0, 2, 1, 1, 1, 1, 0, 0],
(311, 0): [6, 3, 0, 1, 2, 0, 1, 0, 0],
(311, 1): [6, 3, 0, 1, 2, 0, 1, 0, 0],
(312, 0): [4, 2, 0, 1, 1, 1, 1, 0, 0],
(312, 1): [4, 2, 0, 1, 1, 1, 1, 0, 0],
(313, 0): [6, 0, 3, 1, 2, 1, 0, 0, 0],
(313, 1): [6, 0, 3, 1, 2, 1, 0, 0, 0],
(314, 0): [5, 1, 1, 2, 0, 1, 1, 0, 0],
(314, 1): [5, 1, 1, 2, 0, 1, 1, 0, 0],
(315, 0): [3, 0, 0, 2, 0, 2, 1, 0, 0, 0],
(315, 1): [3, 0, 0, 2, 0, 2, 1, 0, 0, 0],
(316, 0): [3, 1, 3, 2, 2, 0, 0, 0, 0],
(317, 0): [4, 1, 3, 0, 2, 2, 0, 0, 0],
(318, 0): [2, 4, 0, 0, 2, 2, 0, 0, 0, 0],
(319, 0): [3, 3, 2, 1, 0, 0, 1, 0, 0],
(319, 1): [3, 3, 2, 1, 0, 0, 1, 0, 0],
(320, 0): [2, 4, 0, 0, 2, 2, 0, 0, 0],
(320, 1): [2, 4, 0, 0, 2, 2, 0, 0, 0],
(321, 0): [2, 1, 1, 0, 1, 1, 1, 0, 0],
(321, 1): [4, 0, 0, 0, 2, 2, 2, 0, 0],
(321, 2): [2, 1, 1, 0, 1, 1, 1, 0, 0],
(322, 0): [2, 1, 2, 0, 2, 0, 1, 0, 0],
(322, 1): [2, 1, 2, 0, 2, 0, 1, 0, 0],
(323, 0): [2, 1, 2, 0, 0, 1, 0, 0, 0],
(323, 1): [2, 1, 2, 0, 0, 1, 0, 0, 0],
(324, 0): [2, 3, 2, 2, 0, 1, 0, 0, 0],
(324, 1): [2, 3, 2, 2, 0, 1, 0, 0, 0],
(325, 0): [2, 3, 1, 2, 0, 0, 1, 0, 0],
(325, 1): [2, 3, 1, 2, 0, 0, 1, 0, 0],
(326, 0): [2, 1, 1, 2, 1, 1, 0, 0, 0],
(326, 1): [2, 1, 1, 2, 1, 1, 0, 0, 0],
(327, 0): [2, 2, 2, 2, 2, 0, 0, 0, 0],
(328, 0): [2, 1, 2, 0, 0, 0, 1, 0, 0],
(328, 1): [2, 1, 2, 0, 0, 0, 1, 0, 0],
(329, 0): [0, 1, 3, 2, 2, 0, 0, 0, 0, 0],
(330, 0): [2, 0, 1, 2, 0, 0, 1, 0, 0],
(330, 1): [2, 0, 1, 2, 0, 0, 1, 0, 0],
(331, 0): [2, 2, 2, 0, 0, 1, 1, 0, 0],
(332, 0): [0, 2, 1, 2, 2, 0, 1, 0, 0, 0],
(332, 1): [0, 2, 1, 2, 2, 0, 1, 0, 0, 0],
(333, 0): [2, 1, 2, 0, 0, 0, 1, 0, 0, 0],
(333, 1): [2, 1, 2, 0, 0, 0, 1, 0, 0, 0],
(334, 0): [4, 0, 0, 0, 2, 2, 0, 0, 0],
(334, 1): [4, 0, 0, 0, 2, 2, 0, 0, 0],
(335, 0): [0, 0, 2, 2, 2, 0, 2, 0, 0, 0],
(335, 1): [0, 0, 2, 2, 2, 0, 2, 0, 0, 0],
(336, 0): [0, 2, 2, 2, 1, 1, 0, 0, 0],
(336, 1): [0, 2, 2, 2, 1, 1, 0, 0, 0],
(337, 0): [0, 1, 0, 2, 2, 1, 1, 0, 0, 0],
(338, 0): [3, 0, 2, 2, 0, 0, 1, 0, 0, 0],
(339, 0): [0, 3, 0, 1, 2, 0, 1, 0, 0],
(339, 1): [2, 1, 2, 1, 2, 0, 1, 0, 0],
(339, 2): [2, 1, 2, 1, 2, 0, 1, 0, 0],
(339, 3): [0, 3, 0, 1, 2, 0, 1, 0, 0],
(340, 0): [3, 2, 1, 1, 0, 1, 1, 0, 0],
(340, 1): [4, 2, 0, 1, 1, 1, 1, 0, 0],
(340, 2): [4, 2, 0, 1, 1, 1, 1, 0, 0],
(340, 3): [3, 2, 1, 1, 0, 1, 1, 0, 0],
(340, 4): [3, 0, 1, 2, 1, 0, 0, 0, 0],
(340, 5): [4, 2, 0, 1, 1, 1, 1, 0, 0],
(340, 6): [3, 2, 1, 1, 0, 1, 1, 0, 0],
(340, 7): [3, 0, 1, 2, 1, 0, 0, 0, 0],
(341, 0): [0, 0, 1, 1, 2, 2, 2, 0, 0, 0],
(342, 0): [0, 0, 3, 0, 1, 2, 2, 0, 0, 0],
(343, 0): [0, 0, 2, 1, 1, 1, 1, 0, 0],
(343, 1): [0, 0, 2, 1, 1, 1, 1, 0, 0],
(343, 2): [0, 0, 2, 1, 1, 1, 1, 0, 0],
(344, 0): [4, 3, 0, 0, 1, 2, 1, 0, 0],
(344, 1): [4, 3, 0, 0, 1, 2, 1, 0, 0],
(344, 2): [4, 3, 0, 0, 1, 2, 1, 0, 0],
(344, 3): [4, 3, 0, 0, 1, 2, 1, 0, 0],
(345, 0): [4, 0, 2, 1, 1, 1, 1, 0, 0],
(345, 1): [4, 0, 2, 1, 1, 1, 1, 0, 0],
(345, 2): [4, 0, 0, 2, 2, 0, 0, 0, 0],
(345, 3): [4, 0, 2, 1, 1, 1, 1, 0, 0],
(345, 4): [4, 0, 2, 1, 1, 1, 1, 0, 0],
(345, 5): [4, 0, 0, 2, 2, 0, 0, 0, 0],
(345, 6): [4, 0, 2, 1, 1, 1, 1, 0, 0],
(346, 0): [2, 3, 1, 2, 2, 0, 0, 0, 0],
(346, 1): [4, 3, 0, 2, 2, 1, 0, 0, 0],
(346, 2): [4, 3, 0, 2, 2, 1, 0, 0, 0],
(346, 3): [2, 2, 1, 0, 0, 1, 0, 0, 0],
(346, 4): [2, 2, 1, 0, 0, 1, 0, 0, 0],
(347, 0): [0, 3, 1, 2, 2, 0, 0, 0, 0, 0],
(347, 1): [2, 3, 0, 2, 2, 0, 1, 0, 0, 0],
(347, 2): [2, 3, 0, 2, 2, 0, 1, 0, 0, 0],
(347, 3): [2, 2, 1, 0, 0, 0, 1, 0, 0, 0],
(347, 4): [2, 2, 1, 0, 0, 0, 1, 0, 0, 0],
(348, 0): [0, 2, 2, 2, 2, 0, 0, 0, 0],
(348, 1): [2, 2, 2, 2, 1, 0, 1, 0, 0],
(348, 2): [2, 2, 2, 2, 1, 0, 1, 0, 0],
(348, 3): [2, 2, 0, 0, 1, 0, 1, 0, 0],
(348, 4): [2, 2, 0, 0, 1, 0, 1, 0, 0],
(349, 0): [0, 2, 2, 1, 0, 2, 1, 0, 0, 0],
(349, 1): [2, 0, 2, 1, 0, 0, 1, 0, 0, 0],
(349, 2): [0, 2, 2, 1, 0, 2, 1, 0, 0, 0],
(349, 3): [2, 2, 2, 0, 0, 2, 2, 0, 0, 0],
(349, 4): [2, 0, 2, 1, 0, 0, 1, 0, 0, 0],
(350, 0): [3, 3, 1, 0, 0, 2, 2, 0, 0],
(351, 0): [2, 2, 2, 0, 0, 2, 2, 0, 0, 0],
(352, 0): [1, 1, 3, 0, 0, 2, 2, 0, 0, 0],
(353, 0): [0, 0, 2, 1, 1, 1, 1, 0, 0],
(353, 1): [0, 0, 2, 1, 1, 1, 1, 0, 0],
(354, 0): [2, 2, 1, 1, 0, 2, 2, 0, 0],
(354, 1): [3, 3, 0, 0, 1, 2, 2, 0, 0],
(354, 2): [1, 1, 1, 1, 1, 0, 0, 0, 0],
(355, 0): [1, 1, 1, 2, 2, 2, 0, 0, 0, 0],
(355, 1): [2, 2, 0, 1, 2, 2, 1, 0, 0, 0],
(355, 2): [1, 1, 1, 1, 0, 0, 1, 0, 0, 0],
(356, 0): [0, 0, 2, 2, 2, 2, 0, 0, 0, 0],
(356, 1): [1, 1, 1, 1, 2, 2, 1, 0, 0, 0],
(356, 2): [2, 2, 0, 0, 2, 2, 2, 0, 0, 0],
(356, 3): [2, 2, 2, 2, 0, 0, 2, 0, 0, 0],
(356, 4): [1, 1, 1, 1, 0, 0, 1, 0, 0, 0],
(357, 0): [0, 0, 1, 3, 2, 2, 0, 0, 0, 0],
(357, 1): [1, 1, 0, 2, 2, 2, 1, 0, 0, 0],
(357, 2): [1, 1, 1, 1, 0, 0, 1, 0, 0, 0],
(358, 0): [0, 0, 1, 2, 2, 2, 1, 0, 0, 0],
(358, 1): [1, 1, 0, 1, 2, 2, 2, 0, 0, 0],
(358, 2): [1, 1, 1, 1, 0, 0, 1, 0, 0, 0],
(360, 0): [2, 2, 1, 1, 0, 0, 1, 1, 0],
(360, 1): [2, 2, 1, 1, 0, 0, 1, 1, 0],
(361, 0): [0, 2, 2, 2, 0, 0, 1, 1, 0],
(361, 1): [0, 2, 2, 2, 0, 0, 1, 1, 0],
(362, 0): [4, 2, 1, 1, 2, 0, 1, 0, 0],
(362, 1): [4, 2, 1, 1, 2, 0, 1, 0, 0],
(363, 0): [3, 2, 2, 1, 1, 1, 0, 0, 0],
(363, 1): [3, 2, 2, 1, 1, 1, 0, 0, 0],
(364, 0): [4, 1, 2, 1, 2, 0, 0, 1, 0],
(364, 1): [4, 1, 2, 1, 2, 0, 0, 1, 0],
(365, 0): [5, 1, 1, 2, 2, 0, 0, 1, 0],
(366, 0): [4, 0, 1, 1, 2, 0, 1, 1, 0],
(366, 1): [4, 0, 1, 1, 2, 0, 1, 1, 0],
(367, 0): [1, 0, 1, 0, 2, 1, 1, 1, 0],
(367, 1): [1, 0, 1, 0, 2, 1, 1, 1, 0],
(367, 2): [1, 0, 1, 0, 2, 1, 1, 1, 0],
(368, 0): [2, 2, 2, 1, 1, 1, 0, 0, 0],
(368, 1): [2, 2, 2, 1, 1, 1, 0, 0, 0],
(368, 2): [2, 2, 2, 1, 1, 1, 0, 0, 0],
(369, 0): [0, 2, 0, 2, 1, 2, 0, 1, 0],
(369, 1): [0, 2, 0, 2, 1, 2, 0, 1, 0],
(369, 2): [0, 2, 0, 2, 1, 2, 0, 1, 0],
(370, 0): [2, 1, 2, 1, 1, 0, 1, 1, 0],
(370, 1): [2, 1, 2, 1, 1, 0, 1, 1, 0],
(370, 2): [2, 1, 2, 1, 1, 0, 1, 1, 0],
(371, 0): [2, 1, 1, 1, 1, 0, 1, 1, 0],
(371, 1): [2, 1, 1, 1, 1, 0, 1, 1, 0],
(372, 0): [1, 2, 0, 1, 1, 1, 1, 1, 0],
(372, 1): [1, 2, 0, 1, 1, 1, 1, 1, 0],
(372, 2): [1, 2, 0, 1, 1, 1, 1, 1, 0],
(373, 0): [0, 0, 1, 1, 1, 1, 1, 1, 0],
(373, 1): [0, 0, 1, 1, 1, 1, 1, 1, 0],
(374, 0): [3, 0, 2, 1, 2, 0, 0, 1, 0],
(374, 1): [3, 0, 2, 1, 2, 0, 0, 1, 0],
(374, 2): [3, 0, 2, 1, 2, 0, 0, 1, 0],
(375, 0): [5, 1, 2, 1, 2, 0, 1, 0, 0],
(375, 1): [5, 1, 2, 1, 2, 0, 1, 0, 0],
(376, 0): [5, 1, 1, 1, 1, 1, 1, 0, 0],
(376, 1): [5, 1, 1, 1, 1, 1, 1, 0, 0],
(377, 0): [3, 3, 1, 2, 2, 0, 0, 0, 0],
(377, 1): [3, 3, 1, 2, 2, 0, 0, 0, 0],
(378, 0): [4, 3, 0, 1, 2, 0, 0, 1, 0],
(378, 1): [4, 3, 0, 1, 2, 0, 0, 1, 0],
(378, 2): [4, 3, 0, 1, 2, 0, 0, 1, 0],
(379, 0): [2, 1, 3, 0, 0, 2, 2, 0, 0],
(379, 1): [2, 1, 3, 0, 0, 2, 2, 0, 0],
(380, 0): [3, 3, 0, 0, 2, 1, 1, 0, 0],
(380, 1): [3, 3, 0, 0, 2, 1, 1, 0, 0],
(381, 0): [3, 1, 2, 0, 2, 1, 1, 0, 0],
(381, 1): [3, 1, 2, 0, 2, 1, 1, 0, 0],
(381, 2): [3, 1, 2, 0, 2, 1, 1, 0, 0],
(382, 0): [3, 2, 0, 0, 1, 1, 1, 1, 0],
(382, 1): [3, 2, 0, 0, 1, 1, 1, 1, 0],
(382, 2): [3, 2, 0, 0, 1, 1, 1, 1, 0],
(383, 0): [2, 1, 1, 0, 2, 0, 1, 1, 0],
(383, 1): [2, 1, 1, 0, 2, 0, 1, 1, 0],
(383, 2): [2, 1, 1, 0, 2, 0, 1, 1, 0],
(384, 0): [2, 2, 2, 2, 2, 0, 0, 0, 0],
(384, 1): [2, 2, 2, 2, 2, 0, 0, 0, 0],
(385, 0): [2, 3, 2, 2, 0, 0, 0, 1, 0],
(385, 1): [2, 3, 2, 2, 0, 0, 0, 1, 0],
(386, 0): [3, 1, 1, 1, 0, 1, 1, 1, 0],
(386, 1): [3, 1, 1, 1, 0, 1, 1, 1, 0],
(386, 2): [3, 1, 1, 1, 0, 1, 1, 1, 0],
(387, 0): [2, 1, 2, 1, 2, 0, 0, 1, 0],
(387, 1): [2, 1, 2, 1, 2, 0, 0, 1, 0],
(387, 2): [2, 1, 2, 1, 2, 0, 0, 1, 0],
(388, 0): [1, 0, 1, 2, 2, 0, 1, 1, 0, 0],
(388, 1): [1, 0, 1, 2, 2, 0, 1, 1, 0, 0],
(388, 2): [1, 0, 1, 2, 2, 0, 1, 1, 0, 0],
(389, 0): [3, 1, 2, 1, 2, 1, 0, 0, 0],
(389, 1): [4, 0, 2, 1, 2, 1, 1, 0, 0],
(389, 2): [4, 0, 2, 1, 2, 1, 1, 0, 0],
(389, 3): [4, 0, 2, 1, 2, 1, 1, 0, 0],
(389, 4): [3, 1, 0, 0, 2, 0, 1, 0, 0],
(389, 5): [3, 1, 2, 1, 2, 1, 0, 0, 0],
(389, 6): [3, 1, 0, 0, 2, 0, 1, 0, 0],
(390, 0): [2, 3, 0, 0, 0, 1, 2, 1, 0],
(390, 1): [3, 2, 0, 1, 0, 1, 2, 1, 0],
(390, 2): [3, 2, 0, 1, 0, 1, 2, 1, 0],
(390, 3): [3, 2, 0, 1, 0, 1, 2, 1, 0],
(390, 4): [2, 3, 0, 0, 0, 1, 2, 1, 0],
(390, 5): [2, 3, 0, 0, 0, 1, 2, 1, 0],
(391, 0): [2, 1, 1, 0, 2, 0, 1, 1, 0],
(391, 1): [3, 0, 1, 0, 2, 1, 1, 1, 0],
(391, 2): [3, 0, 1, 0, 2, 1, 1, 1, 0],
(391, 3): [3, 0, 1, 0, 2, 1, 1, 1, 0],
(391, 4): [3, 1, 0, 0, 2, 1, 0, 2, 0],
(391, 5): [3, 1, 0, 0, 2, 1, 0, 2, 0],
(391, 6): [2, 1, 1, 0, 2, 0, 1, 1, 0],
(391, 7): [2, 1, 1, 0, 2, 0, 1, 1, 0],
(392, 0): [3, 1, 1, 1, 1, 1, 1, 0, 0],
(392, 1): [4, 0, 1, 1, 1, 1, 1, 1, 0],
(392, 2): [4, 0, 1, 1, 1, 1, 1, 1, 0],
(392, 3): [3, 1, 1, 1, 1, 1, 1, 0, 0],
(392, 4): [3, 1, 0, 0, 0, 0, 2, 1, 0],
(393, 0): [2, 3, 0, 0, 1, 2, 1, 0, 0],
(393, 1): [3, 3, 0, 0, 1, 2, 0, 1, 0],
(393, 2): [3, 3, 0, 0, 1, 2, 0, 1, 0],
(393, 3): [3, 4, 0, 0, 0, 2, 1, 1, 0],
(393, 4): [3, 3, 0, 0, 1, 2, 0, 1, 0],
(393, 5): [3, 4, 0, 0, 0, 2, 1, 1, 0],
(393, 6): [2, 3, 0, 0, 1, 2, 1, 0, 0],
(394, 0): [4, 1, 2, 0, 2, 0, 1, 1, 0],
(394, 1): [3, 1, 2, 1, 2, 0, 0, 1, 0],
(394, 2): [3, 0, 0, 1, 2, 0, 1, 0, 0],
(394, 3): [3, 1, 2, 1, 2, 0, 0, 1, 0],
(394, 4): [3, 1, 2, 1, 2, 0, 0, 1, 0],
(394, 5): [3, 0, 0, 1, 2, 0, 1, 0, 0],
(394, 6): [4, 1, 2, 0, 2, 0, 1, 1, 0],
(395, 0): [2, 1, 2, 2, 1, 0, 1, 0, 0],
(395, 1): [3, 1, 2, 1, 1, 0, 1, 1, 0],
(395, 2): [3, 0, 0, 1, 2, 0, 0, 1, 0],
(395, 3): [3, 1, 2, 1, 1, 0, 1, 1, 0],
(395, 4): [3, 1, 2, 1, 1, 0, 1, 1, 0],
(395, 5): [3, 0, 0, 1, 2, 0, 0, 1, 0],
(395, 6): [2, 1, 2, 2, 1, 0, 1, 0, 0],
(396, 0): [2, 2, 1, 1, 0, 2, 1, 0, 0],
(396, 1): [3, 2, 1, 0, 0, 2, 1, 1, 0],
(396, 2): [3, 0, 0, 1, 0, 2, 0, 1, 0],
(396, 3): [3, 2, 1, 0, 0, 2, 1, 1, 0],
(396, 4): [3, 2, 1, 0, 0, 2, 1, 1, 0],
(396, 5): [3, 0, 0, 1, 0, 2, 0, 1, 0],
(396, 6): [2, 2, 1, 1, 0, 2, 1, 0, 0],
(397, 0): [0, 2, 1, 1, 0, 0, 1, 1, 0],
(397, 1): [2, 2, 0, 0, 0, 2, 2, 2, 0],
(397, 2): [2, 0, 1, 1, 0, 2, 1, 1, 0],
(397, 3): [2, 0, 1, 1, 0, 2, 1, 1, 0],
(397, 4): [2, 2, 0, 0, 0, 2, 2, 2, 0],
(397, 5): [0, 2, 1, 1, 0, 0, 1, 1, 0],
(397, 6): [2, 0, 1, 1, 0, 2, 1, 1, 0],
(398, 0): [0, 1, 3, 2, 2, 0, 0, 0, 0],
(398, 1): [2, 0, 2, 2, 2, 1, 1, 0, 0],
(398, 2): [2, 0, 2, 2, 2, 1, 1, 0, 0],
(398, 3): [2, 0, 2, 2, 2, 1, 1, 0, 0],
(398, 4): [2, 1, 1, 0, 0, 1, 1, 0, 0],
(398, 5): [2, 1, 1, 0, 0, 1, 1, 0, 0],
(398, 6): [0, 1, 3, 2, 2, 0, 0, 0, 0],
(399, 0): [0, 2, 2, 2, 2, 0, 0, 0, 0],
(399, 1): [2, 2, 1, 1, 2, 1, 1, 0, 0],
(399, 2): [2, 2, 1, 1, 2, 1, 1, 0, 0],
(399, 3): [2, 0, 1, 1, 0, 1, 1, 0, 0],
(399, 4): [2, 2, 1, 1, 2, 1, 1, 0, 0],
(399, 5): [2, 0, 1, 1, 0, 1, 1, 0, 0],
(399, 6): [0, 2, 2, 2, 2, 0, 0, 0, 0],
(400, 0): [0, 1, 0, 2, 1, 1, 1, 1, 0, 0],
(400, 1): [0, 1, 0, 2, 1, 1, 1, 1, 0, 0],
(400, 2): [1, 0, 0, 2, 1, 2, 1, 1, 0, 0],
(400, 3): [1, 0, 0, 2, 1, 2, 1, 1, 0, 0],
(400, 4): [1, 0, 0, 2, 1, 2, 1, 1, 0, 0],
(400, 5): [0, 1, 0, 2, 1, 1, 1, 1, 0, 0],
(401, 0): [1, 2, 0, 1, 1, 2, 1, 0, 0],
(401, 1): [2, 2, 0, 1, 0, 2, 1, 1, 0],
(401, 2): [3, 0, 0, 0, 1, 2, 0, 1, 0],
(401, 3): [2, 2, 0, 1, 0, 2, 1, 1, 0],
(401, 4): [3, 0, 0, 0, 1, 2, 0, 1, 0],
(401, 5): [2, 2, 0, 1, 0, 2, 1, 1, 0],
(401, 6): [1, 2, 0, 1, 1, 2, 1, 0, 0],
(402, 0): [4, 1, 2, 0, 0, 1, 2, 1, 0],
(402, 1): [4, 1, 2, 0, 0, 1, 2, 1, 0],
(402, 2): [4, 1, 2, 0, 0, 1, 2, 1, 0],
(402, 3): [4, 1, 2, 0, 0, 1, 2, 1, 0],
(403, 0): [3, 3, 0, 0, 1, 1, 1, 1, 0],
(403, 1): [3, 2, 0, 0, 1, 2, 1, 0, 0],
(403, 2): [3, 3, 0, 0, 1, 1, 1, 1, 0],
(403, 3): [2, 3, 0, 0, 2, 1, 0, 1, 0],
(404, 0): [2, 2, 0, 0, 2, 1, 0, 1, 0],
(404, 1): [3, 2, 0, 1, 2, 1, 0, 1, 0],
(404, 2): [3, 2, 0, 1, 2, 1, 0, 1, 0],
(404, 3): [3, 0, 0, 1, 2, 2, 0, 0, 0],
(404, 4): [3, 2, 0, 1, 2, 1, 0, 1, 0],
(404, 5): [2, 2, 0, 0, 2, 1, 0, 1, 0],
(404, 6): [2, 2, 0, 0, 2, 1, 0, 1, 0],
(405, 0): [2, 1, 2, 0, 0, 2, 1, 1, 0],
(405, 1): [2, 1, 2, 0, 0, 2, 1, 1, 0],
(405, 2): [2, 1, 2, 0, 0, 2, 1, 1, 0],
(405, 3): [2, 1, 2, 0, 0, 2, 1, 1, 0],
(405, 4): [2, 1, 2, 0, 0, 2, 1, 1, 0],
(406, 0): [1, 2, 2, 0, 0, 2, 1, 1, 0],
(406, 1): [3, 0, 0, 0, 0, 2, 1, 1, 0],
(406, 2): [1, 2, 2, 0, 0, 2, 1, 1, 0],
(407, 0): [2, 1, 2, 2, 1, 0, 0, 1, 0],
(407, 1): [4, 0, 1, 2, 1, 1, 1, 1, 0],
(407, 2): [4, 0, 1, 2, 1, 1, 1, 1, 0],
(407, 3): [3, 1, 1, 2, 1, 0, 1, 1, 0],
(407, 4): [3, 0, 2, 2, 1, 1, 0, 1, 0],
(407, 5): [3, 0, 2, 2, 1, 1, 0, 1, 0],
(407, 6): [3, 0, 2, 2, 1, 1, 0, 1, 0],
(407, 7): [3, 1, 1, 2, 1, 0, 1, 1, 0],
(407, 8): [3, 1, 1, 2, 1, 0, 1, 1, 0],
(407, 9): [4, 0, 1, 2, 1, 1, 1, 1, 0],
(407, 10): [2, 1, 2, 2, 1, 0, 0, 1, 0],
(407, 11): [2, 1, 1, 0, 0, 1, 1, 0, 0],
(407, 12): [2, 1, 2, 2, 1, 0, 0, 1, 0],
(407, 13): [2, 1, 1, 0, 0, 1, 1, 0, 0],
(408, 0): [0, 2, 1, 2, 1, 1, 0, 0, 0],
(408, 1): [2, 2, 0, 1, 1, 1, 1, 1, 0],
(408, 2): [2, 2, 1, 0, 1, 1, 2, 0, 0],
(408, 3): [2, 2, 0, 1, 1, 1, 1, 1, 0],
(408, 4): [2, 2, 0, 1, 1, 1, 1, 1, 0],
(408, 5): [2, 2, 0, 1, 1, 1, 1, 1, 0],
(408, 6): [2, 0, 1, 1, 0, 0, 1, 1, 0],
(408, 7): [2, 2, 0, 1, 1, 1, 1, 1, 0],
(408, 8): [2, 2, 0, 1, 1, 1, 1, 1, 0],
(408, 9): [2, 2, 0, 1, 1, 1, 1, 1, 0],
(408, 10): [2, 2, 1, 0, 1, 1, 2, 0, 0],
(408, 11): [2, 2, 0, 1, 1, 1, 1, 1, 0],
(408, 12): [2, 0, 1, 1, 0, 0, 1, 1, 0],
(408, 13): [0, 2, 1, 2, 1, 1, 0, 0, 0],
(409, 0): [2, 1, 1, 0, 1, 1, 1, 1, 0],
(409, 1): [2, 1, 1, 0, 1, 1, 1, 1, 0],
(409, 2): [2, 1, 1, 0, 1, 1, 1, 1, 0],
(410, 0): [1, 1, 1, 1, 1, 1, 1, 1, 0],
(410, 1): [1, 1, 1, 1, 1, 1, 1, 1, 0],
(411, 0): [0, 0, 1, 1, 1, 1, 1, 1, 1],
(411, 1): [0, 0, 1, 1, 1, 1, 1, 1, 1],
(412, 0): [2, 1, 2, 1, 0, 1, 1, 0, 1],
(412, 1): [2, 1, 2, 1, 0, 1, 1, 0, 1],
(412, 2): [2, 1, 2, 1, 0, 1, 1, 0, 1],
(412, 3): [2, 1, 2, 1, 0, 1, 1, 0, 1],
(413, 0): [0, 1, 1, 1, 1, 1, 1, 1, 1],
(413, 1): [0, 1, 1, 1, 1, 1, 1, 1, 1],
(413, 2): [0, 1, 1, 1, 1, 1, 1, 1, 1],
(414, 0): [2, 2, 0, 0, 1, 1, 0, 1, 1],
(414, 1): [3, 2, 0, 1, 1, 1, 0, 1, 1],
(414, 2): [3, 2, 0, 1, 1, 1, 0, 1, 1],
(414, 3): [3, 0, 0, 1, 2, 2, 0, 0, 0],
(414, 4): [3, 2, 0, 1, 1, 1, 0, 1, 1],
(414, 5): [3, 0, 0, 1, 2, 2, 0, 0, 0],
(414, 6): [2, 2, 0, 0, 1, 1, 0, 1, 1],
(415, 0): [2, 1, 2, 0, 1, 2, 0, 1, 0],
(415, 1): [3, 1, 2, 0, 1, 2, 0, 0, 1],
(415, 2): [3, 0, 2, 0, 0, 2, 0, 1, 1],
(415, 3): [3, 0, 2, 0, 0, 2, 0, 1, 1],
(415, 4): [3, 1, 2, 0, 1, 2, 0, 0, 1],
(415, 5): [3, 1, 2, 0, 1, 2, 0, 0, 1],
(415, 6): [3, 1, 2, 0, 1, 2, 0, 0, 1],
(415, 7): [3, 0, 2, 0, 0, 2, 0, 1, 1],
(415, 8): [2, 1, 2, 0, 1, 2, 0, 1, 0],
(416, 0): [2, 1, 1, 0, 1, 1, 1, 1, 0],
(416, 1): [3, 0, 1, 0, 1, 1, 1, 1, 1],
(416, 2): [3, 1, 0, 0, 0, 0, 2, 2, 1],
(416, 3): [3, 0, 1, 0, 1, 1, 1, 1, 1],
(416, 4): [3, 0, 1, 0, 1, 1, 1, 1, 1],
(416, 5): [3, 1, 0, 0, 0, 0, 2, 2, 1],
(416, 6): [2, 1, 1, 0, 1, 1, 1, 1, 0],
(417, 0): [2, 1, 2, 0, 2, 0, 0, 1, 1],
(417, 1): [2, 1, 1, 0, 2, 1, 1, 1, 0],
(417, 2): [2, 1, 1, 0, 2, 1, 1, 1, 0],
(417, 3): [2, 0, 1, 0, 2, 1, 1, 0, 1],
(417, 4): [2, 0, 1, 0, 2, 1, 1, 0, 1],
(417, 5): [2, 1, 1, 0, 2, 1, 1, 1, 0],
(417, 6): [2, 0, 1, 0, 2, 1, 1, 0, 1],
(417, 7): [2, 1, 2, 0, 2, 0, 0, 1, 1],
(417, 8): [2, 1, 2, 0, 2, 0, 0, 1, 1],
(418, 0): [1, 1, 2, 2, 2, 0, 1, 1, 0],
(418, 1): [0, 0, 2, 2, 2, 1, 1, 1, 0],
(418, 2): [0, 0, 2, 2, 2, 1, 1, 1, 0],
(418, 3): [0, 0, 2, 2, 2, 1, 1, 1, 0],
(418, 4): [1, 1, 2, 2, 2, 0, 1, 1, 0],
(418, 5): [1, 1, 2, 2, 0, 1, 0, 0, 0],
(418, 6): [1, 1, 2, 2, 0, 1, 0, 0, 0],
(419, 0): [0, 2, 1, 2, 0, 1, 0, 1, 0],
(419, 1): [1, 2, 1, 1, 1, 1, 1, 0, 1],
(419, 2): [1, 2, 0, 1, 1, 0, 1, 1, 1],
(419, 3): [1, 2, 1, 1, 1, 1, 1, 0, 1],
(419, 4): [1, 2, 0, 1, 1, 0, 1, 1, 1],
(419, 5): [1, 2, 1, 1, 1, 1, 1, 0, 1],
(419, 6): [1, 2, 1, 1, 1, 1, 1, 0, 1],
(419, 7): [1, 2, 0, 1, 1, 0, 1, 1, 1],
(419, 8): [0, 2, 1, 2, 0, 1, 0, 1, 0],
(420, 0): [1, 1, 1, 0, 0, 1, 1, 2, 1],
(420, 1): [1, 1, 0, 1, 1, 0, 2, 1, 1],
(421, 0): [0, 2, 1, 2, 1, 0, 1, 0, 0],
(421, 1): [2, 1, 1, 1, 1, 0, 1, 1, 1],
(421, 2): [2, 1, 1, 1, 1, 0, 1, 1, 1],
(421, 3): [2, 1, 0, 1, 0, 0, 2, 1, 1],
(421, 4): [2, 1, 1, 1, 1, 0, 1, 1, 1],
(421, 5): [2, 1, 0, 1, 0, 0, 2, 1, 1],
(421, 6): [0, 2, 1, 2, 1, 0, 1, 0, 0],
(422, 0): [1, 2, 1, 1, 0, 0, 2, 1, 1],
(422, 1): [1, 2, 1, 1, 0, 0, 2, 1, 1],
(422, 2): [2, 1, 0, 1, 0, 0, 2, 1, 1],
(422, 3): [1, 2, 1, 1, 0, 0, 2, 1, 1],
(422, 4): [2, 1, 0, 1, 0, 0, 2, 1, 1],
(422, 5): [2, 1, 0, 1, 0, 0, 2, 1, 1],
(422, 6): [1, 2, 1, 1, 0, 0, 2, 1, 1],
(423, 0): [2, 2, 1, 1, 0, 0, 1, 1, 1],
(423, 1): [2, 2, 2, 1, 0, 1, 0, 1, 1],
(423, 2): [2, 2, 2, 1, 0, 1, 0, 1, 1],
(423, 3): [2, 2, 1, 1, 1, 1, 1, 1, 0],
(423, 4): [2, 0, 2, 1, 1, 0, 0, 1, 0],
(423, 5): [2, 2, 1, 1, 1, 1, 1, 1, 0],
(423, 6): [2, 2, 1, 1, 0, 0, 1, 1, 1],
(423, 7): [2, 2, 2, 1, 0, 1, 0, 1, 1],
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(677, 1): [4, 0, 2, 1, 2, 1, 1, 0, 0, 0],
(677, 2): [4, 0, 2, 1, 2, 1, 1, 0, 0, 0],
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(677, 4): [2, 1, 2, 0, 0, 0, 1, 0, 0, 0],
(678, 0): [0, 3, 1, 2, 2, 0, 0, 0, 0, 0],
(678, 1): [2, 3, 0, 2, 2, 0, 0, 1, 0, 0],
(678, 2): [2, 2, 1, 0, 0, 0, 0, 1, 0, 0],
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(679, 1): [2, 1, 1, 2, 1, 1, 0, 1, 0, 0],
(679, 2): [2, 1, 1, 2, 1, 1, 0, 1, 0, 0],
(679, 3): [2, 1, 0, 0, 2, 0, 0, 1, 0, 0],
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(680, 2): [2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0],
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(680, 4): [2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0],
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(681, 1): [2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0],
(682, 0): [2, 1, 1, 2, 0, 0, 1, 1, 0, 0],
(682, 1): [4, 0, 0, 2, 1, 1, 1, 1, 0, 0],
(682, 2): [4, 0, 0, 2, 1, 1, 1, 1, 0, 0],
(682, 3): [3, 0, 1, 2, 0, 1, 1, 1, 0, 0],
(682, 4): [3, 1, 0, 2, 1, 0, 1, 1, 0, 0],
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(682, 9): [2, 1, 1, 2, 0, 0, 1, 1, 0, 0],
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(683, 2): [2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0],
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(687, 1): [0, 1, 3, 2, 2, 0, 0, 0, 0, 0],
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(688, 1): [0, 2, 2, 2, 2, 0, 0, 0, 0, 0],
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(689, 1): [2, 1, 1, 1, 1, 0, 0, 1, 1, 0],
(689, 2): [2, 1, 1, 1, 1, 0, 0, 1, 1, 0],
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(690, 1): [1, 1, 0, 1, 1, 1, 0, 1, 1, 0],
(690, 2): [1, 1, 0, 1, 1, 1, 0, 1, 1, 0],
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(692, 0): [4, 1, 1, 1, 1, 1, 1, 0, 0, 0],
(692, 1): [4, 1, 1, 1, 1, 1, 1, 0, 0, 0],
(693, 0): [4, 1, 1, 2, 2, 0, 0, 1, 0, 0],
(693, 1): [4, 1, 1, 2, 2, 0, 0, 1, 0, 0],
(694, 0): [3, 2, 1, 2, 1, 1, 0, 0, 0, 0],
(694, 1): [3, 2, 1, 2, 1, 1, 0, 0, 0, 0],
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(695, 1): [2, 1, 2, 2, 1, 0, 0, 1, 0, 0],
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(698, 2): [2, 1, 2, 1, 0, 0, 0, 1, 1, 0],
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(700, 2): [0, 1, 1, 0, 0, 2, 1, 1, 1, 0],
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(703, 2): [1, 1, 2, 0, 0, 1, 1, 1, 1, 0],
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(704, 2): [0, 2, 2, 1, 1, 0, 0, 1, 1, 0],
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(705, 2): [2, 0, 1, 0, 1, 1, 1, 0, 1, 0],
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(707, 1): [2, 0, 2, 0, 2, 0, 1, 0, 1, 0],
(707, 2): [2, 0, 2, 0, 2, 0, 1, 0, 1, 0],
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(708, 2): [3, 2, 0, 0, 1, 2, 0, 0, 1, 0],
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(709, 1): [3, 1, 2, 2, 1, 0, 0, 0, 1, 0],
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(737, 1): [1, 1, 0, 0, 1, 1, 1, 1, 1, 1],
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(739, 4): [2, 2, 2, 0, 0, 0, 1, 1, 1, 0],
(739, 5): [0, 2, 2, 1, 1, 0, 0, 1, 0, 0],
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(740, 8): [2, 1, 0, 1, 1, 1, 1, 1, 1, 0],
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(740, 11): [0, 1, 1, 1, 1, 1, 1, 0, 0, 0],
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(768, 1): [0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0],
(769, 0): [1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0],
(770, 0): [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
(771, 0): [6, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0],
(801, 0): [2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0],
(803, 0): [2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0],
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(1079, 1): [4, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0],
(1079, 2): [2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0],
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(1080, 1): [1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0],
(1080, 2): [1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0],
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(1091, 0): [3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0],
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(1103, 1): [1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0],
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}