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leancheck-0.7.0: tests/diff/tiers-mixed-Int-Int.out

tiers :: [Int->Int]  =
  [ [ \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    ]
  , [ \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    ]
  , [ \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> -1
              1 -> -1
              -1 -> -1
              2 -> -1
              -2 -> -1
              3 -> -1
              -3 -> -1
              4 -> -1
              ...
    , \x -> case x of
              0 -> -1
              1 -> -1
              -1 -> -1
              2 -> -1
              -2 -> -1
              3 -> -1
              -3 -> -1
              4 -> -1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    ]
  , [ \x -> case x of
              0 -> -1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> -1
              -1 -> -1
              2 -> -1
              -2 -> -1
              3 -> -1
              -3 -> -1
              4 -> -1
              ...
    , \x -> case x of
              0 -> 2
              1 -> 2
              -1 -> 2
              2 -> 2
              -2 -> 2
              3 -> 2
              -3 -> 2
              4 -> 2
              ...
    , \x -> case x of
              0 -> 2
              1 -> 2
              -1 -> 2
              2 -> 2
              -2 -> 2
              3 -> 2
              -3 -> 2
              4 -> 2
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> -1
              2 -> 0
              -2 -> -1
              3 -> 0
              -3 -> -1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> -1
              1 -> -1
              -1 -> 0
              2 -> -1
              -2 -> 0
              3 -> -1
              -3 -> 0
              4 -> -1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    ]
  , [ \x -> case x of
              0 -> 2
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> -1
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> -1
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> -1
              -1 -> -1
              2 -> -1
              -2 -> -1
              3 -> -1
              -3 -> -1
              4 -> -1
              ...
    , \x -> case x of
              0 -> -1
              1 -> 0
              -1 -> -1
              2 -> -1
              -2 -> -1
              3 -> -1
              -3 -> -1
              4 -> -1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 2
              -1 -> 2
              2 -> 2
              -2 -> 2
              3 -> 2
              -3 -> 2
              4 -> 2
              ...
    , \x -> case x of
              0 -> -2
              1 -> -2
              -1 -> -2
              2 -> -2
              -2 -> -2
              3 -> -2
              -3 -> -2
              4 -> -2
              ...
    , \x -> case x of
              0 -> -2
              1 -> -2
              -1 -> -2
              2 -> -2
              -2 -> -2
              3 -> -2
              -3 -> -2
              4 -> -2
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 2
              2 -> 0
              -2 -> 2
              3 -> 0
              -3 -> 2
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> -1
              3 -> 0
              -3 -> -1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> -1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> -1
              2 -> 1
              -2 -> -1
              3 -> 1
              -3 -> -1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> -1
              2 -> 0
              -2 -> -1
              3 -> 0
              -3 -> -1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> -1
              1 -> -1
              -1 -> 1
              2 -> -1
              -2 -> 1
              3 -> -1
              -3 -> 1
              4 -> -1
              ...
    , \x -> case x of
              0 -> -1
              1 -> -1
              -1 -> 0
              2 -> -1
              -2 -> 0
              3 -> -1
              -3 -> 0
              4 -> -1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 2
              1 -> 2
              -1 -> 0
              2 -> 2
              -2 -> 0
              3 -> 2
              -3 -> 0
              4 -> 2
              ...
    , \x -> case x of
              0 -> -1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> -1
              -1 -> 0
              2 -> -1
              -2 -> 0
              3 -> -1
              -3 -> 0
              4 -> -1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    ]
  , [ \x -> case x of
              0 -> -2
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 2
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> -1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 2
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> -1
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> -1
              1 -> 1
              -1 -> -1
              2 -> -1
              -2 -> -1
              3 -> -1
              -3 -> -1
              4 -> -1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> -1
              2 -> -1
              -2 -> -1
              3 -> -1
              -3 -> -1
              4 -> -1
              ...
    , \x -> case x of
              0 -> -1
              1 -> -1
              -1 -> 0
              2 -> -1
              -2 -> -1
              3 -> -1
              -3 -> -1
              4 -> -1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 2
              -1 -> 2
              2 -> 2
              -2 -> 2
              3 -> 2
              -3 -> 2
              4 -> 2
              ...
    , \x -> case x of
              0 -> 2
              1 -> 0
              -1 -> 2
              2 -> 2
              -2 -> 2
              3 -> 2
              -3 -> 2
              4 -> 2
              ...
    , \x -> case x of
              0 -> 0
              1 -> -2
              -1 -> -2
              2 -> -2
              -2 -> -2
              3 -> -2
              -3 -> -2
              4 -> -2
              ...
    , \x -> case x of
              0 -> 3
              1 -> 3
              -1 -> 3
              2 -> 3
              -2 -> 3
              3 -> 3
              -3 -> 3
              4 -> 3
              ...
    , \x -> case x of
              0 -> 3
              1 -> 3
              -1 -> 3
              2 -> 3
              -2 -> 3
              3 -> 3
              -3 -> 3
              4 -> 3
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> -2
              2 -> 0
              -2 -> -2
              3 -> 0
              -3 -> -2
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 2
              3 -> 0
              -3 -> 2
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> -1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> -1
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> -1
              3 -> 0
              -3 -> -1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> -1
              3 -> 0
              -3 -> -1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> -1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> -1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 2
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> -1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 2
              2 -> 1
              -2 -> 2
              3 -> 1
              -3 -> 2
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> -1
              3 -> 1
              -3 -> -1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> -1
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 2
              2 -> 0
              -2 -> 2
              3 -> 0
              -3 -> 2
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> -1
              3 -> 0
              -3 -> -1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> -1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> -1
              1 -> -1
              -1 -> -1
              2 -> -1
              -2 -> -1
              3 -> -1
              -3 -> -1
              4 -> -1
              ...
    , \x -> case x of
              0 -> -1
              1 -> -1
              -1 -> 0
              2 -> -1
              -2 -> 1
              3 -> -1
              -3 -> 1
              4 -> -1
              ...
    , \x -> case x of
              0 -> -1
              1 -> -1
              -1 -> 0
              2 -> -1
              -2 -> 0
              3 -> -1
              -3 -> 0
              4 -> -1
              ...
    , \x -> case x of
              0 -> -1
              1 -> -1
              -1 -> 1
              2 -> -1
              -2 -> 0
              3 -> -1
              -3 -> 0
              4 -> -1
              ...
    , \x -> case x of
              0 -> -1
              1 -> -1
              -1 -> 0
              2 -> -1
              -2 -> 0
              3 -> -1
              -3 -> 0
              4 -> -1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> -1
              2 -> 0
              -2 -> -1
              3 -> 0
              -3 -> -1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> -1
              2 -> 0
              -2 -> -1
              3 -> 0
              -3 -> -1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> -1
              2 -> 1
              -2 -> -1
              3 -> 1
              -3 -> -1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> -1
              2 -> 0
              -2 -> -1
              3 -> 0
              -3 -> -1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 2
              1 -> 2
              -1 -> 1
              2 -> 2
              -2 -> 1
              3 -> 2
              -3 -> 1
              4 -> 2
              ...
    , \x -> case x of
              0 -> 2
              1 -> 2
              -1 -> 0
              2 -> 2
              -2 -> 0
              3 -> 2
              -3 -> 0
              4 -> 2
              ...
    , \x -> case x of
              0 -> -1
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> -1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> -1
              -1 -> 1
              2 -> -1
              -2 -> 1
              3 -> -1
              -3 -> 1
              4 -> -1
              ...
    , \x -> case x of
              0 -> 0
              1 -> -1
              -1 -> 0
              2 -> -1
              -2 -> 0
              3 -> -1
              -3 -> 0
              4 -> -1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 1
              -2 -> 1
              3 -> 1
              -3 -> 1
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 1
              2 -> 0
              -2 -> 1
              3 -> 0
              -3 -> 1
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> -2
              1 -> -2
              -1 -> 0
              2 -> -2
              -2 -> 0
              3 -> -2
              -3 -> 0
              4 -> -2
              ...
    , \x -> case x of
              0 -> 2
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> -1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> -1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> -1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> -1
              -1 -> 0
              2 -> -1
              -2 -> 0
              3 -> -1
              -3 -> 0
              4 -> -1
              ...
    , \x -> case x of
              0 -> 0
              1 -> -1
              -1 -> 0
              2 -> -1
              -2 -> 0
              3 -> -1
              -3 -> 0
              4 -> -1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 1
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 1
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 2
              -1 -> 0
              2 -> 2
              -2 -> 0
              3 -> 2
              -3 -> 0
              4 -> 2
              ...
    , \x -> case x of
              0 -> 0
              1 -> -1
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 1
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> -1
              -2 -> 0
              3 -> -1
              -3 -> 0
              4 -> -1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 1
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 1
              -3 -> 0
              4 -> 1
              ...
    , \x -> case x of
              0 -> 0
              1 -> 0
              -1 -> 0
              2 -> 0
              -2 -> 0
              3 -> 0
              -3 -> 0
              4 -> 0
              ...
    ]
  , ...
  ]

map length (tiers :: [[ Int->Int ]])  =  [2,3,8,20,61,204,...]

length (list :: [ Int->Int ])  =  Infinity

allUnique (list :: [ Int->Int ])  =  False

ratioRepetitions (list :: [ Int->Int ])  =  211 % 298