mirror of
https://github.com/GaloisInc/cryptol.git
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686 lines
34 KiB
Plaintext
686 lines
34 KiB
Plaintext
/*
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* Copyright (c) 2013-2016 Galois, Inc.
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* Distributed under the terms of the BSD3 license (see LICENSE file)
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*/
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module Blake2s where
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type Block = [16][32]
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type State = [8][32]
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type LocalState = [16][32]
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type BCounter = [64]
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type Context = { state : State, counter : BCounter }
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// Block size
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bbVal : [64]
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bbVal = 64
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IV : [8][32]
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IV = [ 0x6A09E667, 0xBB67AE85, 0x3C6EF372, 0xA54FF53A,
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0x510E527F, 0x9B05688C, 0x1F83D9AB, 0x5BE0CD19
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]
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SIGMA_TABLE : [10][16][4]
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SIGMA_TABLE =
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[ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ]
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, [ 14, 10, 4, 8, 9, 15, 13, 6, 1, 12, 0, 2, 11, 7, 5, 3 ]
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, [ 11, 8, 12, 0, 5, 2, 15, 13, 10, 14, 3, 6, 7, 1, 9, 4 ]
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, [ 7, 9, 3, 1, 13, 12, 11, 14, 2, 6, 5, 10, 4, 0, 15, 8 ]
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, [ 9, 0, 5, 7, 2, 4, 10, 15, 14, 1, 11, 12, 6, 8, 3, 13 ]
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, [ 2, 12, 6, 10, 0, 11, 8, 3, 4, 13, 7, 5, 15, 14, 1, 9 ]
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, [ 12, 5, 1, 15, 14, 13, 4, 10, 0, 7, 6, 3, 9, 2, 8, 11 ]
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, [ 13, 11, 7, 14, 12, 1, 3, 9, 5, 0, 15, 4, 8, 6, 2, 10 ]
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, [ 6, 15, 14, 9, 11, 3, 0, 8, 12, 2, 13, 7, 1, 4, 10, 5 ]
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, [ 10, 2, 8, 4, 7, 6, 1, 5, 15, 11, 9, 14, 3, 12, 13, 0 ]
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]
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// Section 2.1 constants
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R1,R2,R3,R4 : [6]
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R1 = 16
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R2 = 12
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R3 = 08
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R4 = 07
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// Section 3.1: Mixing function 'G'
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G : [4] -> [4] -> LocalState -> [4][6] -> Block -> [16][32]
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G r i vec abcd ms = foldl updateVector vec (zip abcd new)
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where
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new = G' r i (vec @@ abcd) ms
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G' : [4] -> [4] -> [4][32] -> Block -> [4][32]
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G' r i vals ms = [a2, b2, c2, d2]
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where
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x = ms @ (SIGMA_TABLE @ r @ (2*i))
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y = ms @ (SIGMA_TABLE @ r @ (2*i+1))
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[a,b,c,d] = vals
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a1 = a + b + x
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d1 = (d ^ a1) >>> R1
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c1 = c + d1
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b1 = (b ^ c1) >>> R2
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a2 = a1 + b1 + y
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d2 = (d1 ^ a2) >>> R3
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c2 = c1 + d2
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b2 = (b1 ^ c2) >>> R4
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// Section 3.2: Compression function
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F : State -> Block -> BCounter -> Bit -> State
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F h ms t f = h ^ (take (vs!0)) ^ (drop (vs!0))
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where
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v = h # IV ^ (zero # [t0,t1,f0,zero])
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[t1,t0] = split t : [2][32]
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f0 = [f | _ <- [0..31] : [_][6]]
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vs = [v] # [ round i ms v' | v' <- vs | i <- [0..9] ]
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// Sub-function of F (first for loop)
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round : [4] -> Block -> LocalState -> LocalState
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round r ms v = vs ! 0
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where
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vs = [v] # [ G r i v' ix ms
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| v' <- vs
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| i <- [0..7]
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| ix <- [ [0,4,8,12], [1,5,9,13]
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, [2,6,10,14], [3,7,11,15]
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, [0,5,10,15], [1,6,11,12]
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, [2,7,8,13], [3,4,9,14] ]
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]
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// Section 3.3: Padding
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// Recall kk == key bytes (0)
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// nn == hash bytes (32)
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// ll == input bytes (ceiling $ len / 8)
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// bb == block bytes (64, 1024 bits)
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// dd == nr Blocks
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blake2s : {ll,nn} (fin ll, 32 >= nn, 64 >= width ll)
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=> [ll][8] -> [nn*8]
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blake2s m = blake2s' `{ll=ll,nn=nn} m
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blake2s' : {ll,dd,nn}
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(fin ll
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, 32 >= nn
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, dd == (max 1 ((ll+63)/64)) - 1
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, 64 >= width ll
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)
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=> [ll][8]
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-> [nn*8]
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blake2s' m = take `{nn*8} (blake2sFinish ({ state = (hs!0).state, counter = `ll}) lastBlock)
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where
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fullBlocks : [dd]Block
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fullBlocks = [mkBlock b | b <- split (join (take `{front=64*dd,back=ll-64*dd} m))]
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partialBlock = drop `{front=64*dd,back=ll-64*dd} m
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lastBlock : Block
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lastBlock =
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if (`ll == (zero:[64]))
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then zero // Special case full zero block for empty messages
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else mkBlock ((split (join (partialBlock # (zero : [inf][8]))))@0)
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h : Context
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h = { state = [IV@0 ^ `0x01010000 ^ `nn] # drop `{1} IV, counter = 0 }
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hs : [dd+1]Context
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hs = [h] # [blake2Update h' dX | h' <- hs | dX <- fullBlocks]
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blake2Update : Context -> Block -> Context
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blake2Update ctx d = { state = newState, counter = newCount }
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where newState = F ctx.state d newCount False
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newCount = ctx.counter + (64 : [64])
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postprocess : {ll} (64 >= ll, 64 >= width ll) => BCounter -> [ll][8] -> Block
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postprocess c m =
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if c == 0 /\ `ll == (zero:[64])
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then zero
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else split (join m # zero)
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// The final round of blake
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blake2sFinish : Context -> Block -> [256]
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blake2sFinish ctx b = join [ reverseBytes w | w <- F ctx.state b ctx.counter True ]
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////////////////////////////////////////////////////////////////////////////////
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// Utilities
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////////////////////////////////////////////////////////////////////////////////
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mkBlock x = reverse (split (reverseBytes x))
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reverseBytes x = join (reverse (bytes x))
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bytes x = split x : [_] [8]
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// XXX can probably do a cleaner merge-sort style update.
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updateVector : {a, b, c} (c >= width (a-1), a >= 1, fin a, fin c) => [a]b -> ([c], b) -> [a]b
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updateVector orig idxNew = vs
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where
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idx = idxNew.0
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new = idxNew.1
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vs = [if i == idx then new else orig@i | i <- [0..a-1]]
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property katsPass = ~zero ==
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[ nthKat `{0}
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, nthKat `{1}
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, nthKat `{2}
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, nthKat `{3}
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, nthKat `{4}
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, nthKat `{5}
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, nthKat `{6}
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, nthKat `{7}
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, nthKat `{8}
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, nthKat `{9}
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, nthKat `{10}
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, nthKat `{11}
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, nthKat `{12}
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, nthKat `{13}
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, nthKat `{14}
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, nthKat `{15}
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, nthKat `{16}
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, nthKat `{17}
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, nthKat `{18}
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, nthKat `{19}
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, nthKat `{20}
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, nthKat `{21}
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, nthKat `{22}
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, nthKat `{23}
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, nthKat `{24}
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, nthKat `{25}
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, nthKat `{26}
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, nthKat `{27}
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, nthKat `{28}
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, nthKat `{29}
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, nthKat `{30}
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, nthKat `{31}
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, nthKat `{32}
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, nthKat `{33}
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, nthKat `{34}
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, nthKat `{35}
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, nthKat `{36}
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, nthKat `{37}
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, nthKat `{38}
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, nthKat `{39}
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, nthKat `{40}
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, nthKat `{41}
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, nthKat `{42}
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, nthKat `{43}
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, nthKat `{44}
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, nthKat `{45}
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, nthKat `{46}
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, nthKat `{47}
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, nthKat `{48}
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, nthKat `{49}
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, nthKat `{50}
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, nthKat `{51}
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, nthKat `{52}
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, nthKat `{53}
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, nthKat `{54}
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, nthKat `{55}
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, nthKat `{56}
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, nthKat `{57}
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, nthKat `{58}
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, nthKat `{59}
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, nthKat `{60}
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, nthKat `{61}
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, nthKat `{62}
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, nthKat `{63}
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, nthKat `{64}
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, nthKat `{65}
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, nthKat `{66}
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, nthKat `{67}
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, nthKat `{68}
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, nthKat `{69}
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, nthKat `{70}
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, nthKat `{71}
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, nthKat `{72}
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, nthKat `{73}
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, nthKat `{74}
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, nthKat `{75}
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, nthKat `{76}
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, nthKat `{77}
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, nthKat `{78}
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, nthKat `{79}
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, nthKat `{80}
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, nthKat `{81}
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, nthKat `{82}
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, nthKat `{83}
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, nthKat `{84}
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, nthKat `{85}
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, nthKat `{86}
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, nthKat `{87}
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, nthKat `{88}
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, nthKat `{89}
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, nthKat `{90}
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, nthKat `{91}
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, nthKat `{92}
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, nthKat `{93}
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, nthKat `{94}
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, nthKat `{95}
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, nthKat `{96}
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, nthKat `{97}
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, nthKat `{98}
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, nthKat `{99}
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, nthKat `{100}
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, nthKat `{101}
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, nthKat `{102}
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, nthKat `{103}
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, nthKat `{104}
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, nthKat `{105}
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, nthKat `{106}
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, nthKat `{107}
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, nthKat `{108}
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, nthKat `{109}
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, nthKat `{110}
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, nthKat `{111}
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, nthKat `{112}
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, nthKat `{113}
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, nthKat `{114}
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, nthKat `{115}
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, nthKat `{116}
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, nthKat `{117}
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, nthKat `{118}
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, nthKat `{119}
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, nthKat `{120}
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, nthKat `{121}
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, nthKat `{122}
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, nthKat `{123}
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, nthKat `{124}
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, nthKat `{125}
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, nthKat `{126}
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, nthKat `{127}
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, nthKat `{128}
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, nthKat `{129}
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, nthKat `{130}
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, nthKat `{131}
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, nthKat `{132}
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, nthKat `{133}
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, nthKat `{134}
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, nthKat `{135}
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, nthKat `{136}
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, nthKat `{137}
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, nthKat `{138}
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, nthKat `{139}
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, nthKat `{140}
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, nthKat `{141}
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, nthKat `{142}
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, nthKat `{143}
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, nthKat `{144}
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, nthKat `{145}
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, nthKat `{146}
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, nthKat `{147}
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, nthKat `{148}
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, nthKat `{149}
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, nthKat `{150}
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, nthKat `{151}
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, nthKat `{152}
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, nthKat `{153}
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, nthKat `{154}
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, nthKat `{155}
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, nthKat `{156}
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, nthKat `{157}
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, nthKat `{158}
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, nthKat `{159}
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, nthKat `{160}
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, nthKat `{161}
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, nthKat `{162}
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, nthKat `{163}
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, nthKat `{164}
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, nthKat `{165}
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, nthKat `{166}
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, nthKat `{167}
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, nthKat `{168}
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, nthKat `{169}
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, nthKat `{170}
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, nthKat `{171}
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, nthKat `{172}
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, nthKat `{173}
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, nthKat `{174}
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, nthKat `{175}
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, nthKat `{176}
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, nthKat `{177}
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, nthKat `{178}
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, nthKat `{179}
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, nthKat `{180}
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, nthKat `{181}
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, nthKat `{182}
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, nthKat `{183}
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, nthKat `{184}
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, nthKat `{185}
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, nthKat `{186}
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, nthKat `{187}
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, nthKat `{188}
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, nthKat `{189}
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, nthKat `{190}
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, nthKat `{191}
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, nthKat `{192}
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, nthKat `{193}
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, nthKat `{194}
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, nthKat `{195}
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, nthKat `{196}
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, nthKat `{197}
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, nthKat `{198}
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, nthKat `{199}
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, nthKat `{200}
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, nthKat `{201}
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, nthKat `{202}
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, nthKat `{203}
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, nthKat `{204}
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, nthKat `{205}
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, nthKat `{206}
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, nthKat `{207}
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, nthKat `{208}
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, nthKat `{209}
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, nthKat `{210}
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, nthKat `{211}
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, nthKat `{212}
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, nthKat `{213}
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, nthKat `{214}
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, nthKat `{215}
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, nthKat `{216}
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, nthKat `{217}
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, nthKat `{218}
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, nthKat `{219}
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, nthKat `{220}
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, nthKat `{221}
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, nthKat `{222}
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, nthKat `{223}
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, nthKat `{224}
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, nthKat `{225}
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, nthKat `{226}
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, nthKat `{227}
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, nthKat `{228}
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, nthKat `{229}
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, nthKat `{230}
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, nthKat `{231}
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, nthKat `{232}
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, nthKat `{233}
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, nthKat `{234}
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, nthKat `{235}
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, nthKat `{236}
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, nthKat `{237}
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, nthKat `{238}
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, nthKat `{239}
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, nthKat `{240}
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, nthKat `{241}
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, nthKat `{242}
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, nthKat `{243}
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, nthKat `{244}
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, nthKat `{245}
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, nthKat `{246}
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, nthKat `{247}
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, nthKat `{248}
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, nthKat `{249}
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, nthKat `{250}
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, nthKat `{251}
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, nthKat `{252}
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, nthKat `{253}
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, nthKat `{254}
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, nthKat `{255}
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]
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nthKat : {n} (fin n, 8 >= width n) => Bit
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nthKat = blake2s (nthKatInput `{n}) == kats @ (`n : [8])
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nthKatInput : {n} (fin n) => [n][8]
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nthKatInput = take ([0 ... ] : [inf][8])
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kats = [ 0x69217a3079908094e11121d042354a7c1f55b6482ca1a51e1b250dfd1ed0eef9
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, 0xe34d74dbaf4ff4c6abd871cc220451d2ea2648846c7757fbaac82fe51ad64bea
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, 0xddad9ab15dac4549ba42f49d262496bef6c0bae1dd342a8808f8ea267c6e210c
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, 0xe8f91c6ef232a041452ab0e149070cdd7dd1769e75b3a5921be37876c45c9900
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, 0x0cc70e00348b86ba2944d0c32038b25c55584f90df2304f55fa332af5fb01e20
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, 0xec1964191087a4fe9df1c795342a02ffc191a5b251764856ae5b8b5769f0c6cd
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, 0xe1fa51618d7df4eb70cf0d5a9e906f806e9d19f7f4f01e3b621288e4120405d6
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, 0x598001fafbe8f94ec66dc827d012cfcbba2228569f448e89ea2208c8bf769293
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, 0xc7e887b546623635e93e0495598f1726821996c2377705b93a1f636f872bfa2d
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, 0xc315a437dd28062a770d481967136b1b5eb88b21ee53d0329c5897126e9db02c
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, 0xbb473deddc055fea6228f207da575347bb00404cd349d38c18026307a224cbff
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, 0x687e1873a8277591bb33d9adf9a13912efefe557cafc39a7952623e47255f16d
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, 0x1ac7ba754d6e2f94e0e86c46bfb262abbb74f450ef456d6b4d97aa80ce6da767
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, 0x012c97809614816b5d9494477d4b687d15b96eb69c0e8074a8516f31224b5c98
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, 0x91ffd26cfa4da5134c7ea262f7889c329f61f6a657225cc212f40056d986b3f4
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, 0xd97c828d8182a72180a06a78268330673f7c4e0635947c04c02323fd45c0a52d
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, 0xefc04cdc391c7e9119bd38668a534e65fe31036d6a62112e44ebeb11f9c57080
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, 0x992cf5c053442a5fbc4faf583e04e50bb70d2f39fbb6a503f89e56a63e18578a
|
|
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