(0, 0, 0):2
(1, 0, 0):-1/2
(1, 1, 0):0
(1, 1, 1):1/2
(2, 0, 0):-1/2
(2, 1, 0):0
(2, 1, 1):1/2
(2, 2, 0):-1/2
(2, 2, 1):1/2
(2, 2, 2):1/2
(3, 0, 0):-3/2
(3, 1, 0):1
(3, 1, 1):1/2
(3, 2, 0):0
(3, 2, 1):0
(3, 2, 2):1
(3, 3, 0):1/2
(3, 3, 1):-1/2
(3, 3, 2):1/2
(3, 3, 3):1
(4, 0, 0):-1/2
(4, 1, 0):0
(4, 1, 1):1/2
(4, 2, 0):0
(4, 2, 1):0
(4, 2, 2):0
(4, 3, 0):-1/2
(4, 3, 1):1/2
(4, 3, 2):1/2
(4, 3, 3):1
(4, 4, 0):-1
(4, 4, 1):1
(4, 4, 2):0
(4, 4, 3):1
(4, 4, 4):2
(5, 0, 0):-3/2
(5, 1, 0):1
(5, 1, 1):1/2
(5, 2, 0):-1/2
(5, 2, 1):1/2
(5, 2, 2):3/2
(5, 3, 0):1
(5, 3, 1):-1
(5, 3, 2):0
(5, 3, 3):0
(5, 4, 0):-1/2
(5, 4, 1):1/2
(5, 4, 2):1/2
(5, 4, 3):-1
(5, 4, 4):2
(5, 5, 0):1/2
(5, 5, 1):-1/2
(5, 5, 2):1/2
(5, 5, 3):-1
(5, 5, 4):2
(5, 5, 5):1
(6, 0, 0):1/2
(6, 1, 0):-1
(6, 1, 1):3/2
(6, 2, 0):-1
(6, 2, 1):0
(6, 2, 2):0
(6, 3, 0):-1/2
(6, 3, 1):-1/2
(6, 3, 2):-1/2
(6, 3, 3):1
(6, 4, 0):-1
(6, 4, 1):1
(6, 4, 2):-2
(6, 4, 3):1
(6, 4, 4):1
(6, 5, 0):-1
(6, 5, 1):0
(6, 5, 2):0
(6, 5, 3):0
(6, 5, 4):2
(6, 5, 5):2
(6, 6, 0):-3/2
(6, 6, 1):3/2
(6, 6, 2):-3/2
(6, 6, 3):3
(6, 6, 4):0
(6, 6, 5):3
(6, 6, 6):3
(7, 0, 0):-2
(7, 1, 0):1
(7, 1, 1):0
(7, 2, 0):-1
(7, 2, 1):1/2
(7, 2, 2):2
(7, 3, 0):1
(7, 3, 1):-3/2
(7, 3, 2):0
(7, 3, 3):-1/2
(7, 4, 0):-1
(7, 4, 1):-1/2
(7, 4, 2):1
(7, 4, 3):1
(7, 4, 4):5/2
(7, 5, 0):1
(7, 5, 1):-3/2
(7, 5, 2):0
(7, 5, 3):-2
(7, 5, 4):3/2
(7, 5, 5):-1
(7, 6, 0):-1
(7, 6, 1):-1/2
(7, 6, 2):1
(7, 6, 3):5/2
(7, 6, 4):1
(7, 6, 5):3/2
(7, 6, 6):5/2
(7, 7, 0):3
(7, 7, 1):-3/2
(7, 7, 2):3
(7, 7, 3):0
(7, 7, 4):3/2
(7, 7, 5):0
(7, 7, 6):3
(7, 7, 7):9/2
(8, 0, 0):0
(8, 1, 0):-2
(8, 1, 1):2
(8, 2, 0):-3/2
(8, 2, 1):0
(8, 2, 2):-1/2
(8, 3, 0):-5/2
(8, 3, 1):1
(8, 3, 2):1/2
(8, 3, 3):5/2
(8, 4, 0):-5/2
(8, 4, 1):1
(8, 4, 2):-1/2
(8, 4, 3):1
(8, 4, 4):-1/2
(8, 5, 0):-5/2
(8, 5, 1):1
(8, 5, 2):1/2
(8, 5, 3):1
(8, 5, 4):3/2
(8, 5, 5):5
(8, 6, 0):-5/2
(8, 6, 1):1
(8, 6, 2):-1/2
(8, 6, 3):5/2
(8, 6, 4):-2
(8, 6, 5):3/2
(8, 6, 6):-1/2
(8, 7, 0):-5/2
(8, 7, 1):1
(8, 7, 2):5/2
(8, 7, 3):1
(8, 7, 4):-1/2
(8, 7, 5):3
(8, 7, 6):1
(8, 7, 7):9/2
(8, 8, 0):-3
(8, 8, 1):3
(8, 8, 2):0
(8, 8, 3):9/2
(8, 8, 4):-3/2
(8, 8, 5):9/2
(8, 8, 6):-3/2
(8, 8, 7):9/2
(8, 8, 8):9/2
(9, 0, 0):-2
(9, 1, 0):2
(9, 1, 1):1
(9, 2, 0):-1
(9, 2, 1):3/2
(9, 2, 2):3
(9, 3, 0):4
(9, 3, 1):-1/2
(9, 3, 2):1
(9, 3, 3):1/2
(9, 4, 0):0
(9, 4, 1):3/2
(9, 4, 2):1
(9, 4, 3):0
(9, 4, 4):7/2
(9, 5, 0):4
(9, 5, 1):-1/2
(9, 5, 2):4
(9, 5, 3):-2
(9, 5, 4):5/2
(9, 5, 5):2
(9, 6, 0):0
(9, 6, 1):9/2
(9, 6, 2):1
(9, 6, 3):11/2
(9, 6, 4):1
(9, 6, 5):5/2
(9, 6, 6):7/2
(9, 7, 0):7
(9, 7, 1):-1/2
(9, 7, 2):7
(9, 7, 3):-2
(9, 7, 4):9/2
(9, 7, 5):-1
(9, 7, 6):4
(9, 7, 7):3/2
(9, 8, 0):0
(9, 8, 1):7
(9, 8, 2):1
(9, 8, 3):5
(9, 8, 4):1
(9, 8, 5):8
(9, 8, 6):1
(9, 8, 7):5
(9, 8, 8):6
(9, 9, 0):12
(9, 9, 1):0
(9, 9, 2):7
(9, 9, 3):-3/2
(9, 9, 4):19/2
(9, 9, 5):1/2
(9, 9, 6):19/2
(9, 9, 7):1/2
(9, 9, 8):13/2
(9, 9, 9):6
(10, 0, 0):1
(10, 1, 0):-2
(10, 1, 1):3
(10, 2, 0):1
(10, 2, 1):3/2
(10, 2, 2):0
(10, 3, 0):-3
(10, 3, 1):5/2
(10, 3, 2):1
(10, 3, 3):5/2
(10, 4, 0):1
(10, 4, 1):7/2
(10, 4, 2):-1
(10, 4, 3):2
(10, 4, 4):1/2
(10, 5, 0):-3
(10, 5, 1):11/2
(10, 5, 2):1
(10, 5, 3):4
(10, 5, 4):3/2
(10, 5, 5):7
(10, 6, 0):1
(10, 6, 1):7/2
(10, 6, 2):2
(10, 6, 3):7/2
(10, 6, 4):2
(10, 6, 5):9/2
(10, 6, 6):1/2
(10, 7, 0):-2
(10, 7, 1):19/2
(10, 7, 2):2
(10, 7, 3):8
(10, 7, 4):1/2
(10, 7, 5):9
(10, 7, 6):2
(10, 7, 7):15/2
(10, 8, 0):4
(10, 8, 1):5
(10, 8, 2):5
(10, 8, 3):5
(10, 8, 4):5
(10, 8, 5):6
(10, 8, 6):2
(10, 8, 7):6
(10, 8, 8):3
(10, 9, 0):0
(10, 9, 1):9
(10, 9, 2):3
(10, 9, 3):15/2
(10, 9, 4):9/2
(10, 9, 5):21/2
(10, 9, 6):9/2
(10, 9, 7):15/2
(10, 9, 8):9/2
(10, 9, 9):6
(10, 10, 0):-3
(10, 10, 1):5
(10, 10, 2):-1
(10, 10, 3):8
(10, 10, 4):3
(10, 10, 5):8
(10, 10, 6):3
(10, 10, 7):8
(10, 10, 8):2
(10, 10, 9):8
(10, 10, 10):6
(11, 0, 0):-4
(11, 1, 0):2
(11, 1, 1):-1
(11, 2, 0):-5/2
(11, 2, 1):1
(11, 2, 2):9/2
(11, 3, 0):7/2
(11, 3, 1):-2
(11, 3, 2):9/2
(11, 3, 3):-1/2
(11, 4, 0):-7/2
(11, 4, 1):2
(11, 4, 2):9/2
(11, 4, 3):2
(11, 4, 4):11/2
(11, 5, 0):11/2
(11, 5, 1):-1
(11, 5, 2):17/2
(11, 5, 3):1
(11, 5, 4):13/2
(11, 5, 5):3
(11, 6, 0):-7/2
(11, 6, 1):5
(11, 6, 2):15/2
(11, 6, 3):21/2
(11, 6, 4):6
(11, 6, 5):17/2
(11, 6, 6):11/2
(11, 7, 0):15/2
(11, 7, 1):-1
(11, 7, 2):37/2
(11, 7, 3):2
(11, 7, 4):23/2
(11, 7, 5):5
(11, 7, 6):8
(11, 7, 7):9/2
(11, 8, 0):-3
(11, 8, 1):10
(11, 8, 2):10
(11, 8, 3):31/2
(11, 8, 4):23/2
(11, 8, 5):37/2
(11, 8, 6):17/2
(11, 8, 7):25/2
(11, 8, 8):21/2
(11, 9, 0):13
(11, 9, 1):-1
(11, 9, 2):21
(11, 9, 3):5
(11, 9, 4):22
(11, 9, 5):8
(11, 9, 6):19
(11, 9, 7):5
(11, 9, 8):11
(11, 9, 9):3
(11, 10, 0):-5
(11, 10, 1):4
(11, 10, 2):14
(11, 10, 3):25/2
(11, 10, 4):29/2
(11, 10, 5):31/2
(11, 10, 6):25/2
(11, 10, 7):25/2
(11, 10, 8):23/2
(11, 10, 9):6
(11, 10, 10):11
(11, 11, 0):5
(11, 11, 1):-4
(11, 11, 2):17
(11, 11, 3):13/2
(11, 11, 4):35/2
(11, 11, 5):17/2
(11, 11, 6):35/2
(11, 11, 7):17/2
(11, 11, 8):29/2
(11, 11, 9):4
(11, 11, 10):9
(11, 11, 11):8
(12, 0, 0):1
(12, 1, 0):-4
(12, 1, 1):4
(12, 2, 0):0
(12, 2, 1):1/2
(12, 2, 2):-1
(12, 3, 0):-5
(12, 3, 1):5/2
(12, 3, 2):1
(12, 3, 3):15/2
(12, 4, 0):-1
(12, 4, 1):5/2
(12, 4, 2):2
(12, 4, 3):4
(12, 4, 4):3/2
(12, 5, 0):-6
(12, 5, 1):13/2
(12, 5, 2):5
(12, 5, 3):12
(12, 5, 4):13/2
(12, 5, 5):13
(12, 6, 0):4
(12, 6, 1):7/2
(12, 6, 2):9
(12, 6, 3):27/2
(12, 6, 4):9
(12, 6, 5):17/2
(12, 6, 6):11/2
(12, 7, 0):-7
(12, 7, 1):27/2
(12, 7, 2):9
(12, 7, 3):24
(12, 7, 4):25/2
(12, 7, 5):23
(12, 7, 6):9
(12, 7, 7):33/2
(12, 8, 0):4
(12, 8, 1):9
(12, 8, 2):18
(12, 8, 3):19
(12, 8, 4):21
(12, 8, 5):23
(12, 8, 6):15
(12, 8, 7):14
(12, 8, 8):9
(12, 9, 0):-3
(12, 9, 1):18
(12, 9, 2):10
(12, 9, 3):69/2
(12, 9, 4):43/2
(12, 9, 5):67/2
(12, 9, 6):43/2
(12, 9, 7):49/2
(12, 9, 8):25/2
(12, 9, 9):15
(12, 10, 0):-3
(12, 10, 1):9
(12, 10, 2):15
(12, 10, 3):29
(12, 10, 4):24
(12, 10, 5):31
(12, 10, 6):22
(12, 10, 7):26
(12, 10, 8):11
(12, 10, 9):14
(12, 10, 10):6
(12, 11, 0):-5
(12, 11, 1):9
(12, 11, 2):18
(12, 11, 3):30
(12, 11, 4):26
(12, 11, 5):34
(12, 11, 6):26
(12, 11, 7):28
(12, 11, 8):22
(12, 11, 9):19
(12, 11, 10):15
(12, 11, 11):16
(12, 12, 0):-1
(12, 12, 1):11
(12, 12, 2):1
(12, 12, 3):51/2
(12, 12, 4):31/2
(12, 12, 5):49/2
(12, 12, 6):37/2
(12, 12, 7):51/2
(12, 12, 8):23/2
(12, 12, 9):23
(12, 12, 10):10
(12, 12, 11):15
(12, 12, 12):10