Added ternary encoding/decoding
This commit is contained in:
Stefan Bühler
parent
531942cf1d
commit
f70ae4b43b
137
Car.hs
137
Car.hs
@ -2,28 +2,133 @@
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import Data.Packed
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import Data.Maybe
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data Car = Car { chambers :: [Chamber] }
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data Car = Car { airparts :: Int, chambers :: [Chamber] }
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data Chamber = MainChamber { upperPipe, lowerPipe :: Pipe } | AuxChamber { upperPipe, lowerPipe :: Pipe }
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data Pipe = Pipe { sections :: [Section] }
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data Section = Section { tank, inComp, outComp :: Int }
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data Section = Section { tank :: Int }
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data Fuel = Matrix Int
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-- 22 11 22 00010 22 100100 22 00110 22 1001011 22 100101110 22 110101011 22 101010010 22 0010
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-- 22 111001101111010 22 010010111 22 011010 22 1001011
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-- 22 11100 22 01011 22 001010 22 0100 22 001110 22 0110 22 0121110 22 0120
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-- 22 10 22 0000 22 01011 22 010100 22 0011 22 011110 22 0010
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-- Cars
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-- 2211 220 0 0 1 0 2210 0 1 0 0 2200 1 1 0 2210 0 1 0 1 1 2210 0 1 0 1 1 1 0 2211 0 1 0 1 0 1 1 2210 1 0 1 0 0 1 0 220 0 1 0
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-- 22 111001101111010 22 010010111 22 011010 22 1001011
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-- 2211 1 0 0 220 1 0 1 1 220 0 1 0 1 0 220 1 0 0 220 0 1 1 1 0 220 1 1 0 220 1 21110 220 1 20
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-- 2210 220 0 0 0 220 1 0 1 1 220 1 0 1 0 0 220 0 1 1 220 1 1 1 1 0 220 0 1 0
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-- 11100000: for 1 tanks, using 1 ingredients of air, check fuel for tank 0, c_{1,1} must be >= 1
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-- 220 220 0 0 0 1 1 0 220 1 0 1 0 0 1 0
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-- [ ([0,0],0,[1]), ([1,1],0,[0]) ]
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-- 1 220 0 0 0 1 0 : 1 chamber, 1 tank
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-- [([0,0],0,[0])]
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-- 1 220 0 0 0 1 1 0: In the car, tank 1 is not properly connected to tank 0
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-- [([0,0],0,[1])]
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-- 1 220 0 0 0 1 1 1: In the car, tank 2 is not properly connected to tank 0
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-- 1 220 0 0 0 1 1 2: In the car, tank 3 is not properly connected to tank 0
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-- 1 220 0 0 0 1 22000: In the car, tank 4 is not properly connected to tank 0
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-- correct fuels:
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-- 1 1 1 220: for 1 tanks, using 1 ingredients of air, checking reaction chamber 0
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-- 220 1 1 1 1 1 1 1: for 2 tanks, using 1 ingredients of air, checking reaction chamber 0, checking reaction chamber 1, surplus of ingredient 1 in lower pipe when air consists of ingredient 1 only
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-- [[2],[1]]
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-- 1111: for 1 tanks, using 1 ingredients of air, checking reaction chamber 0, first fuel component must increase
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-- 1110: for 1 tanks, using 1 ingredients of air, check fuel for tank 0, c_{1,1} must be >= 1
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-- 220111011: for 2 tanks, using 1 ingredients of air, check fuel for tank 1, c_{1,1} must be >= 1
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-- 220111111: for 2 tanks, using 1 ingredients of air, check fuel for tank 1, c_{1,1} must be >= 1
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-- 2201 1111: for 2 tanks, using 1 ingredients of air, dimension mismatch
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-- 10: for 1 tanks, using 0 ingredients of air, dimension mismatch
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-- 11: for 1 tanks, using 1 ingredients of air, dimension mismatch
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-- 11011000000: for 1 tanks, using 1 ingredients of air, dimension mismatch
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-- 111220000: for 1 tanks, using 1 ingredients of air, fuel coefficients missing for tank 1
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-- 1111220000: for 1 tanks, using 1 ingredients of air, fuel coefficients missing for tank 1
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-- 1220000: for 1 tanks, using 2 ingredients of air, dimension mismatch
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-- 12210000: for 1 tanks, using 3 ingredients of air, dimension mismatch
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-- 122220000000000000: for 1 tanks, using 6 ingredients of air, dimension mismatch
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-- 1220: for 1 tanks, using 2 ingredients of air, dimension mismatch
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-- 12210: for 1 tanks, using 3 ingredients of air, dimension mismatch
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-- 12211: for 1 tanks, using 4 ingredients of air, dimension mismatch
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-- 12222000: for 1 tanks, using 6 ingredients of air, dimension mismatch
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-- 12222001: for 1 tanks, using 7 ingredients of air, dimension mismatch
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-- 1222201: for 1 tanks, using 9 ingredients of air, dimension mismatch
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-- 122221: for 1 tanks, using 15 ingredients of air, dimension mismatch
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-- 2200: for 2 tanks, using 0 ingredients of air, dimension mismatch
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-- 2202200: for 2 tanks, using 2 ingredients of air, dimension mismatch
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-- 220222202200: for 2 tanks, using 14 ingredients of air, dimension mismatch
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-- 22102200000000: for 3 tanks, using 2 ingredients of air, dimension mismatch
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-- 2210100220101: for 3 Tanks, using 1 ingredients of air, dimension mismatch
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-- 221102200000000: for 4 tanks, using 0 ingredients of air, dimension mismatch
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-- 2201: for 2 tanks, using 1 ingredients of air, dimension mismatch
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-- 220220: for 2 tanks, using 2 ingredients of air, dimension mismatch
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-- 2202222022: for 2 tanks, using 14 ingredients of air, dimension mismatch
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-- 22100: for 3 tanks, using 0 ingredients of air, dimension mismatch
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-- 22101: for 3 tanks, using 1 ingredients of air, dimension mismatch
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-- 2210220: for 3 tanks, using 2 ingredients of air, dimension mismatch
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-- 22102210: for 3 tanks, using 3 ingredients of air, dimension mismatch
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-- 22110: for 4 tanks, using 0 ingredients of air, dimension mismatch
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-- 22111: for 4 tanks, using 1 ingredients of air, dimension mismatch
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-- 22120: for 5 tanks, using 0 ingredients of air, dimension mismatch
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-- 22121: for 5 tanks, using 1 ingredients of air, dimension mismatch
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-- 22220001: for 6 tanks, using 1 ingredients of air, dimension mismatch
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-- 22220011: for 7 tanks, using 1 ingredients of air, dimension mismatch
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-- 22220101: for 9 tanks, using 1 ingredients of air, dimension mismatch
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-- 22220111: for 10 tanks, using 1 ingredients of air, dimension mismatch
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-- 222210001: for 16 tanks, using 0 ingredients of air, dimension mismatch
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-- 2222100011: for 16 tanks, using 1 ingredients of air, dimension mismatch
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-- 222210010: for 18 tanks, using 0 ingredients of air, dimension mismatch
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-- 2222100101: for 18 tanks, using 1 ingredients of air, dimension mismatch
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-- 222210011: for 19 tanks, using 0 ingredients of air, dimension mismatch
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-- 2222100111: for 19 tanks, using 1 ingredients of air, dimension mismatch
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-- Numbers
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-- 0: 0
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-- 1: 10
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-- 2: 11
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-- 3: 12
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-- 4: 22000
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-- 5: 22001
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-- 6: 22002
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-- 7: 22010
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-- 8: 22011
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-- 9: 22012
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-- 10: 22020
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-- 11: 22021
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-- 12: 22022
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-- List Lengths:
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-- 0: 0
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-- 1: 1
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-- 2: 220
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-- 3: 2210
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-- 4: 2211
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-- 5: 2212
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-- 6: 2222000
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-- 7: 2222001
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-- 8: 2222002
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-- 9: 2222010
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-- 10: 2222011
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-- 11: 2222012
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-- 12: 2222020
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-- 13: 2222021
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-- 14: 2222022
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-- 15: 222210000
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-- 16: 222210001
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-- 17: 222210002
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-- 18: 222210010
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-- 19: 222210011
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-- 20: 222210012
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-- 21: 222210020
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-- 22: 222210021
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-- 23: 222210022
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-- 24: 222210100
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-- 25: 222210101
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-- 26: 222210102
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-- 27: 222210110
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-- 28: 222210111
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-- 29: 222210112
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-- 30: 222210120
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-- 31: 222210121
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-- 32: 222210122
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-- 33: 222210200
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-- 34: 222210201
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-- 35: 222210202
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-- 36: 222210210
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-- 37: 222210211
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-- 38: 222210212
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-- 39: 222210220
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-- 40: 222210221
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-- 41: 222210222
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70
Circuit.hs
70
Circuit.hs
@ -11,6 +11,66 @@ type Nat = Int
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-- example:
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-- build ""
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type Dec a = ([Nat] -> (a, [Nat]))
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type Enc a = a -> String
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decodeNumber :: Dec Integer
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decodeNumber (0:xs) = (0,xs)
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decodeNumber (1:0:xs) = (1,xs)
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decodeNumber (1:1:xs) = (2,xs)
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decodeNumber (1:2:xs) = (3,xs)
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decodeNumber (2:2:0:0:0:xs) = (4,xs)
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decodeNumber (2:2:0:0:1:xs) = (5,xs)
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decodeNumber (2:2:0:0:2:xs) = (6,xs)
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decodeNumber (2:2:0:1:0:xs) = (7,xs)
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decodeNumber (2:2:0:1:1:xs) = (8,xs)
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decodeNumber (2:2:0:1:2:xs) = (9,xs)
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decodeNumber (2:2:0:2:0:xs) = (10,xs)
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decodeNumber (2:2:0:2:1:xs) = (11,xs)
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decodeNumber (2:2:0:2:2:xs) = (12,xs)
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decodeListLen :: Dec Int
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decodeListLen (0:xs) = (0,xs)
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decodeListLen (1:xs) = (1,xs)
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decodeListLen (2:2:0:xs) = (2,xs)
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decodeListLen (2:2:1:0:xs) = (3,xs)
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decodeListLen (2:2:1:1:xs) = (4,xs)
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decodeListLen (2:2:1:2:xs) = (5,xs)
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decodeListLen (2:2:2:2:0:0:0:xs) = (6,xs)
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decodeListLen (2:2:2:2:0:0:1:xs) = (7,xs)
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decodeListLen (2:2:2:2:0:0:2:xs) = (8,xs)
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decodeListLen (2:2:2:2:0:1:0:xs) = (9,xs)
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decodeListLen (2:2:2:2:0:1:1:xs) = (10,xs)
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decodeListLen (2:2:2:2:0:1:2:xs) = (11,xs)
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decodeListLen (2:2:2:2:0:2:0:xs) = (12,xs)
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decodeListLen (2:2:2:2:0:2:1:xs) = (13,xs)
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decodeListLen (2:2:2:2:0:2:2:xs) = (14,xs)
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decodeTuple2 :: (Dec a, Dec b) -> Dec (a, b)
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decodeTuple2 (f, g) x = let (a, x1) = f x in let (b, x2) = g x1 in ((a,b), x2)
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decodeTuple3 :: (Dec a, Dec b, Dec c) -> Dec (a, b, c)
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decodeTuple3 (f, g, h) x = let (a, x1) = f x in let (b, x2) = g x1 in let (c, x3) = h x2 in ((a,b,c), x3)
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decodeList :: Dec a -> Dec [a]
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decodeList f x = let (len,x1) = decodeListLen x in get [] len x1 where
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get r 0 x = (r, x)
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get r k x = let (e,xn) = f x in get (r ++ [e]) (k-1) xn
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decodeNumberList = decodeList decodeNumber
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decodeCar = fst . decodeList (decodeTuple3 (decodeNumberList, decodeNumber, decodeNumberList))
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encodeNumber :: Enc Integer
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encodeNumber n = [ "0", "10", "11", "12", "22000", "22001", "22002", "22010", "22011", "22020", "22021", "22022" ] !! (fromIntegral n)
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encodeListLen :: Enc Int
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encodeListLen n = [ "0", "1", "220", "2210", "2211", "2212", "2222000", "2222001", "2222002", "2222010", "2222011", "2222012", "2222020", "2222021", "2222022" ] !! n
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encodeList :: Enc a -> Enc [a]
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encodeList e xs = (encodeListLen (length xs)) ++ (concat $ map e xs)
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encodeFuel = encodeList $ encodeList $ encodeList encodeNumber
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-- Circuit Syntax:
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-- <inPin>:[<gates>]:<outPin>
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-- each Pin is either "X" (circuit IN or OUT)
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@ -57,7 +117,14 @@ block2 = 2:(init input)
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-- 1: 2L:2R1R0#2R1R,2L0R0#X0R,X0L0#1L0L:1L
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-- 2: 2R:2R1R0#2L1L,0R2L0#X0R,0LX0#1R0L:1L
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-- build circuit for needed output
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build s = let (p, pins) = step (-1) [] (reverse (key ++ (readstream s))) in Circuit p pins where
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build s = let (p, pins) = step 4 [0,-1,1,6,2,3,5,7] (dropWhile (0 == ) $ reverse (key ++ (readstream s))) in Circuit p pins where
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step p gates [] = (p, gates)
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step p gates (x:xs) = let k = length gates in case x of
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0 -> step k (gates ++ [k+4,k+2,k+5,p,k+1,k+3]) xs
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1 -> step (k+2) (gates ++ [k+5,k+3,k+4,k+1,p,k]) xs
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2 -> step (k+2) (gates ++ [k+5,k+3,k+1,k+4,k,p]) xs
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build1 s = let (p, pins) = step (-1) [] (reverse (key ++ (readstream s))) in Circuit p pins where
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step p gates [] = (p, gates)
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step p gates (x:xs) = let k = length gates in case x of
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0 -> step k (gates ++ [k+4,k+2,k+5,p,k+1,k+3]) xs
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@ -144,6 +211,7 @@ execfactory (s, f) [] = []
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execfactory (s, f) (x:xs) = o:execfactory (t, f) xs where (t, o) = f (s, x)
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execcirc circ = execfactory (circfactory circ) input
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ec circ = execfactory (circfactory circ) (input ++ take 100 (repeat 0))
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readstream :: String -> [Int]
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readstream = map (\c -> read [c] :: Int)
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