map length (tiers :: [[ Int ]])  =  [1,1,1,1,1,1,1,1,1,1,1,1,...]

length (list :: [ Int ])  =  Infinity

allUnique (list :: [ Int ])  =  True

ratioRepetitions (list :: [ Int ])  =  0 % 1

tiers :: [Int]  =
  [ [0]
  , [1]
  , [-1]
  , [2]
  , [-2]
  , [3]
  , [-3]
  , [4]
  , [-4]
  , [5]
  , [-5]
  , [6]
  , ...
  ]