2681 lines
286 KiB
ReStructuredText
2681 lines
286 KiB
ReStructuredText
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Cf. `"Bananas, Lenses, & Barbed
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Wire" <http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.41.125>`__
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`Hylomorphism <https://en.wikipedia.org/wiki/Hylomorphism_%28computer_science%29>`__
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====================================================================================
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A
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`hylomorphism <https://en.wikipedia.org/wiki/Hylomorphism_%28computer_science%29>`__
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``H :: A -> B`` converts a value of type A into a value of type B by
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means of:
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- A generator ``G :: A -> (A, B)``
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- A combiner ``F :: (B, B) -> B``
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- A predicate ``P :: A -> Bool`` to detect the base case
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- A base case value ``c :: B``
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- Recursive calls (zero or more); it has a "call stack in the form of a
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cons list".
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It may be helpful to see this function implemented in imperative Python
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code.
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.. code:: ipython2
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def hylomorphism(c, F, P, G):
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'''Return a hylomorphism function H.'''
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def H(a):
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if P(a):
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result = c
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else:
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b, aa = G(a)
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result = F(b, H(aa))
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return result
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return H
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Finding `Triangular Numbers <https://en.wikipedia.org/wiki/Triangular_number>`__
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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As a concrete example let's use a function that, given a positive
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integer, returns the sum of all positive integers less than that one.
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(In this case the types A and B are both ``int``.) ### With ``range()``
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and ``sum()``
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.. code:: ipython2
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r = range(10)
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r
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.. parsed-literal::
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[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
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.. code:: ipython2
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sum(r)
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.. parsed-literal::
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45
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.. code:: ipython2
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range_sum = lambda n: sum(range(n))
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range_sum(10)
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.. parsed-literal::
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45
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As a hylomorphism
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~~~~~~~~~~~~~~~~~
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.. code:: ipython2
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G = lambda n: (n - 1, n - 1)
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F = lambda a, b: a + b
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P = lambda n: n <= 1
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H = hylomorphism(0, F, P, G)
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.. code:: ipython2
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H(10)
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.. parsed-literal::
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45
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If you were to run the above code in a debugger and check out the call
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stack you would find that the variable ``b`` in each call to ``H()`` is
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storing the intermediate values as ``H()`` recurses. This is what was
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meant by "call stack in the form of a cons list".
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Joy Preamble
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~~~~~~~~~~~~
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.. code:: ipython2
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from notebook_preamble import D, DefinitionWrapper, J, V, define
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Hylomorphism in Joy
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-------------------
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We can define a combinator ``hylomorphism`` that will make a
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hylomorphism combinator ``H`` from constituent parts.
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::
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H == c [F] [P] [G] hylomorphism
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The function ``H`` is recursive, so we start with ``ifte`` and set the
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else-part to some function ``J`` that will contain a quoted copy of
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``H``. (The then-part just discards the leftover ``a`` and replaces it
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with the base case value ``c``.)
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::
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H == [P] [pop c] [J] ifte
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The else-part ``J`` gets just the argument ``a`` on the stack.
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::
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a J
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a G The first thing to do is use the generator G
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aa b which produces b and a new aa
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aa b [H] dip we recur with H on the new aa
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aa H b F and run F on the result.
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This gives us a definition for ``J``.
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::
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J == G [H] dip F
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Plug it in and convert to genrec.
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::
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H == [P] [pop c] [G [H] dip F] ifte
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H == [P] [pop c] [G] [dip F] genrec
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This is the form of a hylomorphism in Joy, which nicely illustrates that
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it is a simple specialization of the general recursion combinator.
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::
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H == [P] [pop c] [G] [dip F] genrec
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Derivation of ``hylomorphism``
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------------------------------
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Now we just need to derive a definition that builds the ``genrec``
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arguments out of the pieces given to the ``hylomorphism`` combinator.
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::
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H == [P] [pop c] [G] [dip F] genrec
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[P] [c] [pop] swoncat [G] [F] [dip] swoncat genrec
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[P] c unit [pop] swoncat [G] [F] [dip] swoncat genrec
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[P] c [G] [F] [unit [pop] swoncat] dipd [dip] swoncat genrec
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Working in reverse: - Use ``swoncat`` twice to decouple ``[c]`` and
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``[F]``. - Use ``unit`` to dequote ``c``. - Use ``dipd`` to untangle
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``[unit [pop] swoncat]`` from the givens.
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At this point all of the arguments (givens) to the hylomorphism are to
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the left so we have a definition for ``hylomorphism``:
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::
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hylomorphism == [unit [pop] swoncat] dipd [dip] swoncat genrec
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The order of parameters is different than the one we started with but
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that hardly matters, you can rearrange them or just supply them in the
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expected order.
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::
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[P] c [G] [F] hylomorphism == H
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.. code:: ipython2
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define('hylomorphism == [unit [pop] swoncat] dipd [dip] swoncat genrec')
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Demonstrate summing a range of integers from 0 to n-1.
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- ``[P]`` is ``[0 <=]``
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- ``c`` is ``0``
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- ``[G]`` is ``[1 - dup]``
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- ``[F]`` is ``[+]``
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So to sum the positive integers less than five we can do this.
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.. code:: ipython2
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V('5 [0 <=] 0 [1 - dup] [+] hylomorphism')
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.. parsed-literal::
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. 5 [0 <=] 0 [1 - dup] [+] hylomorphism
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5 . [0 <=] 0 [1 - dup] [+] hylomorphism
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5 [0 <=] . 0 [1 - dup] [+] hylomorphism
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5 [0 <=] 0 . [1 - dup] [+] hylomorphism
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5 [0 <=] 0 [1 - dup] . [+] hylomorphism
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5 [0 <=] 0 [1 - dup] [+] . hylomorphism
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5 [0 <=] 0 [1 - dup] [+] . [unit [pop] swoncat] dipd [dip] swoncat genrec
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5 [0 <=] 0 [1 - dup] [+] [unit [pop] swoncat] . dipd [dip] swoncat genrec
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5 [0 <=] 0 . unit [pop] swoncat [1 - dup] [+] [dip] swoncat genrec
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5 [0 <=] 0 . [] cons [pop] swoncat [1 - dup] [+] [dip] swoncat genrec
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5 [0 <=] 0 [] . cons [pop] swoncat [1 - dup] [+] [dip] swoncat genrec
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5 [0 <=] [0] . [pop] swoncat [1 - dup] [+] [dip] swoncat genrec
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5 [0 <=] [0] [pop] . swoncat [1 - dup] [+] [dip] swoncat genrec
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5 [0 <=] [0] [pop] . swap concat [1 - dup] [+] [dip] swoncat genrec
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5 [0 <=] [pop] [0] . concat [1 - dup] [+] [dip] swoncat genrec
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5 [0 <=] [pop 0] . [1 - dup] [+] [dip] swoncat genrec
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5 [0 <=] [pop 0] [1 - dup] . [+] [dip] swoncat genrec
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5 [0 <=] [pop 0] [1 - dup] [+] . [dip] swoncat genrec
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5 [0 <=] [pop 0] [1 - dup] [+] [dip] . swoncat genrec
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5 [0 <=] [pop 0] [1 - dup] [+] [dip] . swap concat genrec
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5 [0 <=] [pop 0] [1 - dup] [dip] [+] . concat genrec
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5 [0 <=] [pop 0] [1 - dup] [dip +] . genrec
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5 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte
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5 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [5] [0 <=] . infra first choice i
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5 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 5] swaack first choice i
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5 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 5] swaack first choice i
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False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 5] swaack first choice i
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False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 5] . swaack first choice i
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5 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i
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5 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i
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5 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i
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5 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +
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5 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +
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4 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +
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4 4 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +
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4 4 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip +
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4 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 4 +
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4 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 4 +
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4 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 4 +
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4 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 4 +
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4 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 4 +
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4 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 4 +
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4 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [4] [0 <=] . infra first choice i 4 +
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4 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 4] swaack first choice i 4 +
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4 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 4] swaack first choice i 4 +
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False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 4] swaack first choice i 4 +
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False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 4] . swaack first choice i 4 +
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4 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i 4 +
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4 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i 4 +
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4 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i 4 +
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4 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 4 +
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4 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 4 +
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3 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 4 +
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3 3 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 4 +
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3 3 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip + 4 +
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3 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 3 + 4 +
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3 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 3 + 4 +
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3 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 3 + 4 +
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3 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 3 + 4 +
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3 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 3 + 4 +
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3 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 3 + 4 +
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3 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [3] [0 <=] . infra first choice i 3 + 4 +
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3 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 3] swaack first choice i 3 + 4 +
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3 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 3] swaack first choice i 3 + 4 +
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False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 3] swaack first choice i 3 + 4 +
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False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 3] . swaack first choice i 3 + 4 +
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3 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i 3 + 4 +
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3 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i 3 + 4 +
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3 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i 3 + 4 +
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3 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 3 + 4 +
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3 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 3 + 4 +
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2 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 3 + 4 +
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2 2 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 3 + 4 +
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2 2 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip + 3 + 4 +
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2 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 2 + 3 + 4 +
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2 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 2 + 3 + 4 +
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2 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 2 + 3 + 4 +
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2 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 2 + 3 + 4 +
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2 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 2 + 3 + 4 +
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2 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 2 + 3 + 4 +
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2 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [2] [0 <=] . infra first choice i 2 + 3 + 4 +
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2 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 2] swaack first choice i 2 + 3 + 4 +
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2 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 2] swaack first choice i 2 + 3 + 4 +
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False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 2] swaack first choice i 2 + 3 + 4 +
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False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 2] . swaack first choice i 2 + 3 + 4 +
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2 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i 2 + 3 + 4 +
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2 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i 2 + 3 + 4 +
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2 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i 2 + 3 + 4 +
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2 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 2 + 3 + 4 +
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2 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 2 + 3 + 4 +
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1 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 2 + 3 + 4 +
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1 1 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 2 + 3 + 4 +
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1 1 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip + 2 + 3 + 4 +
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1 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 1 + 2 + 3 + 4 +
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1 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 1 + 2 + 3 + 4 +
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1 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 1 + 2 + 3 + 4 +
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1 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 1 + 2 + 3 + 4 +
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1 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 1 + 2 + 3 + 4 +
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1 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 1 + 2 + 3 + 4 +
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1 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [1] [0 <=] . infra first choice i 1 + 2 + 3 + 4 +
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1 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 1] swaack first choice i 1 + 2 + 3 + 4 +
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1 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 1] swaack first choice i 1 + 2 + 3 + 4 +
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False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 1] swaack first choice i 1 + 2 + 3 + 4 +
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False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 1] . swaack first choice i 1 + 2 + 3 + 4 +
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1 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i 1 + 2 + 3 + 4 +
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1 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i 1 + 2 + 3 + 4 +
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1 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i 1 + 2 + 3 + 4 +
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1 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 1 + 2 + 3 + 4 +
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1 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 1 + 2 + 3 + 4 +
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0 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 1 + 2 + 3 + 4 +
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0 0 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 1 + 2 + 3 + 4 +
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0 0 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip + 1 + 2 + 3 + 4 +
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0 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 0 + 1 + 2 + 3 + 4 +
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0 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 0 + 1 + 2 + 3 + 4 +
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0 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 0 + 1 + 2 + 3 + 4 +
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0 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 0 + 1 + 2 + 3 + 4 +
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0 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 0 + 1 + 2 + 3 + 4 +
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0 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 0 + 1 + 2 + 3 + 4 +
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0 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [0] [0 <=] . infra first choice i 0 + 1 + 2 + 3 + 4 +
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0 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 0] swaack first choice i 0 + 1 + 2 + 3 + 4 +
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0 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 0] swaack first choice i 0 + 1 + 2 + 3 + 4 +
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True . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 0] swaack first choice i 0 + 1 + 2 + 3 + 4 +
|
|
True [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 0] . swaack first choice i 0 + 1 + 2 + 3 + 4 +
|
|
0 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [True] . first choice i 0 + 1 + 2 + 3 + 4 +
|
|
0 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] True . choice i 0 + 1 + 2 + 3 + 4 +
|
|
0 [pop 0] . i 0 + 1 + 2 + 3 + 4 +
|
|
0 . pop 0 0 + 1 + 2 + 3 + 4 +
|
|
. 0 0 + 1 + 2 + 3 + 4 +
|
|
0 . 0 + 1 + 2 + 3 + 4 +
|
|
0 0 . + 1 + 2 + 3 + 4 +
|
|
0 . 1 + 2 + 3 + 4 +
|
|
0 1 . + 2 + 3 + 4 +
|
|
1 . 2 + 3 + 4 +
|
|
1 2 . + 3 + 4 +
|
|
3 . 3 + 4 +
|
|
3 3 . + 4 +
|
|
6 . 4 +
|
|
6 4 . +
|
|
10 .
|
|
|
|
|
|
Anamorphism
|
|
===========
|
|
|
|
An anamorphism can be defined as a hylomorphism that uses ``[]`` for
|
|
``c`` and ``swons`` for ``F``.
|
|
|
|
::
|
|
|
|
[P] [G] anamorphism == [P] [] [G] [swons] hylomorphism == A
|
|
|
|
This allows us to define an anamorphism combinator in terms of the
|
|
hylomorphism combinator.
|
|
|
|
::
|
|
|
|
[] swap [swons] hylomorphism == anamorphism
|
|
|
|
Partial evaluation gives us a "pre-cooked" form.
|
|
|
|
::
|
|
|
|
[P] [G] . anamorphism
|
|
[P] [G] . [] swap [swons] hylomorphism
|
|
[P] [G] [] . swap [swons] hylomorphism
|
|
[P] [] [G] . [swons] hylomorphism
|
|
[P] [] [G] [swons] . hylomorphism
|
|
[P] [] [G] [swons] . [unit [pop] swoncat] dipd [dip] swoncat genrec
|
|
[P] [] [G] [swons] [unit [pop] swoncat] . dipd [dip] swoncat genrec
|
|
[P] [] . unit [pop] swoncat [G] [swons] [dip] swoncat genrec
|
|
[P] [[]] [pop] . swoncat [G] [swons] [dip] swoncat genrec
|
|
[P] [pop []] [G] [swons] [dip] . swoncat genrec
|
|
|
|
[P] [pop []] [G] [dip swons] genrec
|
|
|
|
(We could also have just substituted for ``c`` and ``F`` in the
|
|
definition of ``H``.)
|
|
|
|
::
|
|
|
|
H == [P] [pop c ] [G] [dip F ] genrec
|
|
A == [P] [pop []] [G] [dip swons] genrec
|
|
|
|
The partial evaluation is overkill in this case but it serves as a
|
|
reminder that this sort of program specialization can, in many cases, be
|
|
carried out automatically.)
|
|
|
|
Untangle ``[G]`` from ``[pop []]`` using ``swap``.
|
|
|
|
::
|
|
|
|
[P] [G] [pop []] swap [dip swons] genrec
|
|
|
|
All of the arguments to ``anamorphism`` are to the left, so we have a
|
|
definition for it.
|
|
|
|
::
|
|
|
|
anamorphism == [pop []] swap [dip swons] genrec
|
|
|
|
An example of an anamorphism is the range function.
|
|
|
|
::
|
|
|
|
range == [0 <=] [1 - dup] anamorphism
|
|
|
|
Catamorphism
|
|
============
|
|
|
|
A catamorphism can be defined as a hylomorphism that uses
|
|
``[uncons swap]`` for ``[G]`` and ``[[] =]`` for the predicate ``[P]``.
|
|
|
|
::
|
|
|
|
c [F] catamorphism == [[] =] c [uncons swap] [F] hylomorphism == C
|
|
|
|
This allows us to define a ``catamorphism`` combinator in terms of the
|
|
``hylomorphism`` combinator.
|
|
|
|
::
|
|
|
|
[[] =] roll> [uncons swap] swap hylomorphism == catamorphism
|
|
|
|
Partial evaluation doesn't help much.
|
|
|
|
::
|
|
|
|
c [F] . catamorphism
|
|
c [F] . [[] =] roll> [uncons swap] swap hylomorphism
|
|
c [F] [[] =] . roll> [uncons swap] swap hylomorphism
|
|
[[] =] c [F] [uncons swap] . swap hylomorphism
|
|
[[] =] c [uncons swap] [F] . hylomorphism
|
|
[[] =] c [uncons swap] [F] [unit [pop] swoncat] . dipd [dip] swoncat genrec
|
|
[[] =] c . unit [pop] swoncat [uncons swap] [F] [dip] swoncat genrec
|
|
[[] =] [c] [pop] . swoncat [uncons swap] [F] [dip] swoncat genrec
|
|
[[] =] [pop c] [uncons swap] [F] [dip] . swoncat genrec
|
|
[[] =] [pop c] [uncons swap] [dip F] genrec
|
|
|
|
Because the arguments to catamorphism have to be prepared (unlike the
|
|
arguments to anamorphism, which only need to be rearranged slightly)
|
|
there isn't much point to "pre-cooking" the definition.
|
|
|
|
::
|
|
|
|
catamorphism == [[] =] roll> [uncons swap] swap hylomorphism
|
|
|
|
An example of a catamorphism is the sum function.
|
|
|
|
::
|
|
|
|
sum == 0 [+] catamorphism
|
|
|
|
"Fusion Law" for catas (UNFINISHED!!!)
|
|
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|
|
|
I'm not sure exactly how to translate the "Fusion Law" for catamorphisms
|
|
into Joy.
|
|
|
|
I know that a ``map`` composed with a cata can be expressed as a new
|
|
cata:
|
|
|
|
::
|
|
|
|
[F] map b [B] cata == b [F B] cata
|
|
|
|
But this isn't the one described in "Bananas...". That's more like:
|
|
|
|
A cata composed with some function can be expressed as some other cata:
|
|
|
|
::
|
|
|
|
b [B] catamorphism F == c [C] catamorphism
|
|
|
|
Given:
|
|
|
|
::
|
|
|
|
b F == c
|
|
|
|
...
|
|
|
|
B F == [F] dip C
|
|
|
|
...
|
|
|
|
b[B]cata F == c[C]cata
|
|
|
|
F(B(head, tail)) == C(head, F(tail))
|
|
|
|
1 [2 3] B F 1 [2 3] F C
|
|
|
|
|
|
b F == c
|
|
B F == F C
|
|
|
|
b [B] catamorphism F == c [C] catamorphism
|
|
b [B] catamorphism F == b F [C] catamorphism
|
|
|
|
...
|
|
|
|
Or maybe,
|
|
|
|
::
|
|
|
|
[F] map b [B] cata == c [C] cata ???
|
|
|
|
[F] map b [B] cata == b [F B] cata I think this is generally true, unless F consumes stack items
|
|
instead of just transforming TOS. Of course, there's always [F] unary.
|
|
b [F] unary [[F] unary B] cata
|
|
|
|
[10 *] map 0 swap [+] step == 0 swap [10 * +] step
|
|
|
|
For example:
|
|
|
|
::
|
|
|
|
F == 10 *
|
|
b == 0
|
|
B == +
|
|
c == 0
|
|
C == F +
|
|
|
|
b F == c
|
|
0 10 * == 0
|
|
|
|
B F == [F] dip C
|
|
+ 10 * == [10 *] dip F +
|
|
+ 10 * == [10 *] dip 10 * +
|
|
|
|
n m + 10 * == 10(n+m)
|
|
|
|
n m [10 *] dip 10 * +
|
|
n 10 * m 10 * +
|
|
10n m 10 * +
|
|
10n 10m +
|
|
10n+10m
|
|
|
|
10n+10m = 10(n+m)
|
|
|
|
Ergo:
|
|
|
|
::
|
|
|
|
0 [+] catamorphism 10 * == 0 [10 * +] catamorphism
|
|
|
|
The ``step`` combinator will usually be better to use than ``catamorphism``.
|
|
----------------------------------------------------------------------------
|
|
|
|
::
|
|
|
|
sum == 0 swap [+] step
|
|
sum == 0 [+] catamorphism
|
|
|
|
anamorphism catamorphism == hylomorphism
|
|
========================================
|
|
|
|
Here is (part of) the payoff.
|
|
|
|
An anamorphism followed by (composed with) a catamorphism is a
|
|
hylomorphism, with the advantage that the hylomorphism does not create
|
|
the intermediate list structure. The values are stored in either the
|
|
call stack, for those implementations that use one, or in the pending
|
|
expression ("continuation") for the Joypy interpreter. They still have
|
|
to be somewhere, converting from an anamorphism and catamorphism to a
|
|
hylomorphism just prevents using additional storage and doing additional
|
|
processing.
|
|
|
|
::
|
|
|
|
range == [0 <=] [1 - dup] anamorphism
|
|
sum == 0 [+] catamorphism
|
|
|
|
range sum == [0 <=] [1 - dup] anamorphism 0 [+] catamorphism
|
|
== [0 <=] 0 [1 - dup] [+] hylomorphism
|
|
|
|
We can let the ``hylomorphism`` combinator build ``range_sum`` for us or
|
|
just substitute ourselves.
|
|
|
|
::
|
|
|
|
H == [P] [pop c] [G] [dip F] genrec
|
|
range_sum == [0 <=] [pop 0] [1 - dup] [dip +] genrec
|
|
|
|
.. code:: ipython2
|
|
|
|
defs = '''
|
|
anamorphism == [pop []] swap [dip swons] genrec
|
|
hylomorphism == [unit [pop] swoncat] dipd [dip] swoncat genrec
|
|
catamorphism == [[] =] roll> [uncons swap] swap hylomorphism
|
|
range == [0 <=] [1 - dup] anamorphism
|
|
sum == 0 [+] catamorphism
|
|
range_sum == [0 <=] 0 [1 - dup] [+] hylomorphism
|
|
'''
|
|
|
|
DefinitionWrapper.add_definitions(defs, D)
|
|
|
|
.. code:: ipython2
|
|
|
|
J('10 range')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
[9 8 7 6 5 4 3 2 1 0]
|
|
|
|
|
|
.. code:: ipython2
|
|
|
|
J('[9 8 7 6 5 4 3 2 1 0] sum')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
45
|
|
|
|
|
|
.. code:: ipython2
|
|
|
|
V('10 range sum')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
. 10 range sum
|
|
10 . range sum
|
|
10 . [0 <=] [1 - dup] anamorphism sum
|
|
10 [0 <=] . [1 - dup] anamorphism sum
|
|
10 [0 <=] [1 - dup] . anamorphism sum
|
|
10 [0 <=] [1 - dup] . [pop []] swap [dip swons] genrec sum
|
|
10 [0 <=] [1 - dup] [pop []] . swap [dip swons] genrec sum
|
|
10 [0 <=] [pop []] [1 - dup] . [dip swons] genrec sum
|
|
10 [0 <=] [pop []] [1 - dup] [dip swons] . genrec sum
|
|
10 [0 <=] [pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . ifte sum
|
|
10 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [10] [0 <=] . infra first choice i sum
|
|
10 . 0 <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 10] swaack first choice i sum
|
|
10 0 . <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 10] swaack first choice i sum
|
|
False . [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 10] swaack first choice i sum
|
|
False [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 10] . swaack first choice i sum
|
|
10 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [False] . first choice i sum
|
|
10 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] False . choice i sum
|
|
10 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . i sum
|
|
10 . 1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons sum
|
|
10 1 . - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons sum
|
|
9 . dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons sum
|
|
9 9 . [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons sum
|
|
9 9 [[0 <=] [pop []] [1 - dup] [dip swons] genrec] . dip swons sum
|
|
9 . [0 <=] [pop []] [1 - dup] [dip swons] genrec 9 swons sum
|
|
9 [0 <=] . [pop []] [1 - dup] [dip swons] genrec 9 swons sum
|
|
9 [0 <=] [pop []] . [1 - dup] [dip swons] genrec 9 swons sum
|
|
9 [0 <=] [pop []] [1 - dup] . [dip swons] genrec 9 swons sum
|
|
9 [0 <=] [pop []] [1 - dup] [dip swons] . genrec 9 swons sum
|
|
9 [0 <=] [pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . ifte 9 swons sum
|
|
9 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [9] [0 <=] . infra first choice i 9 swons sum
|
|
9 . 0 <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 9] swaack first choice i 9 swons sum
|
|
9 0 . <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 9] swaack first choice i 9 swons sum
|
|
False . [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 9] swaack first choice i 9 swons sum
|
|
False [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 9] . swaack first choice i 9 swons sum
|
|
9 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [False] . first choice i 9 swons sum
|
|
9 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] False . choice i 9 swons sum
|
|
9 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . i 9 swons sum
|
|
9 . 1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 9 swons sum
|
|
9 1 . - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 9 swons sum
|
|
8 . dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 9 swons sum
|
|
8 8 . [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 9 swons sum
|
|
8 8 [[0 <=] [pop []] [1 - dup] [dip swons] genrec] . dip swons 9 swons sum
|
|
8 . [0 <=] [pop []] [1 - dup] [dip swons] genrec 8 swons 9 swons sum
|
|
8 [0 <=] . [pop []] [1 - dup] [dip swons] genrec 8 swons 9 swons sum
|
|
8 [0 <=] [pop []] . [1 - dup] [dip swons] genrec 8 swons 9 swons sum
|
|
8 [0 <=] [pop []] [1 - dup] . [dip swons] genrec 8 swons 9 swons sum
|
|
8 [0 <=] [pop []] [1 - dup] [dip swons] . genrec 8 swons 9 swons sum
|
|
8 [0 <=] [pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . ifte 8 swons 9 swons sum
|
|
8 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [8] [0 <=] . infra first choice i 8 swons 9 swons sum
|
|
8 . 0 <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 8] swaack first choice i 8 swons 9 swons sum
|
|
8 0 . <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 8] swaack first choice i 8 swons 9 swons sum
|
|
False . [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 8] swaack first choice i 8 swons 9 swons sum
|
|
False [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 8] . swaack first choice i 8 swons 9 swons sum
|
|
8 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [False] . first choice i 8 swons 9 swons sum
|
|
8 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] False . choice i 8 swons 9 swons sum
|
|
8 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . i 8 swons 9 swons sum
|
|
8 . 1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 8 swons 9 swons sum
|
|
8 1 . - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 8 swons 9 swons sum
|
|
7 . dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 8 swons 9 swons sum
|
|
7 7 . [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 8 swons 9 swons sum
|
|
7 7 [[0 <=] [pop []] [1 - dup] [dip swons] genrec] . dip swons 8 swons 9 swons sum
|
|
7 . [0 <=] [pop []] [1 - dup] [dip swons] genrec 7 swons 8 swons 9 swons sum
|
|
7 [0 <=] . [pop []] [1 - dup] [dip swons] genrec 7 swons 8 swons 9 swons sum
|
|
7 [0 <=] [pop []] . [1 - dup] [dip swons] genrec 7 swons 8 swons 9 swons sum
|
|
7 [0 <=] [pop []] [1 - dup] . [dip swons] genrec 7 swons 8 swons 9 swons sum
|
|
7 [0 <=] [pop []] [1 - dup] [dip swons] . genrec 7 swons 8 swons 9 swons sum
|
|
7 [0 <=] [pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . ifte 7 swons 8 swons 9 swons sum
|
|
7 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [7] [0 <=] . infra first choice i 7 swons 8 swons 9 swons sum
|
|
7 . 0 <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 7] swaack first choice i 7 swons 8 swons 9 swons sum
|
|
7 0 . <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 7] swaack first choice i 7 swons 8 swons 9 swons sum
|
|
False . [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 7] swaack first choice i 7 swons 8 swons 9 swons sum
|
|
False [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 7] . swaack first choice i 7 swons 8 swons 9 swons sum
|
|
7 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [False] . first choice i 7 swons 8 swons 9 swons sum
|
|
7 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] False . choice i 7 swons 8 swons 9 swons sum
|
|
7 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . i 7 swons 8 swons 9 swons sum
|
|
7 . 1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 7 swons 8 swons 9 swons sum
|
|
7 1 . - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 7 swons 8 swons 9 swons sum
|
|
6 . dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 7 swons 8 swons 9 swons sum
|
|
6 6 . [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 7 swons 8 swons 9 swons sum
|
|
6 6 [[0 <=] [pop []] [1 - dup] [dip swons] genrec] . dip swons 7 swons 8 swons 9 swons sum
|
|
6 . [0 <=] [pop []] [1 - dup] [dip swons] genrec 6 swons 7 swons 8 swons 9 swons sum
|
|
6 [0 <=] . [pop []] [1 - dup] [dip swons] genrec 6 swons 7 swons 8 swons 9 swons sum
|
|
6 [0 <=] [pop []] . [1 - dup] [dip swons] genrec 6 swons 7 swons 8 swons 9 swons sum
|
|
6 [0 <=] [pop []] [1 - dup] . [dip swons] genrec 6 swons 7 swons 8 swons 9 swons sum
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6 [0 <=] [pop []] [1 - dup] [dip swons] . genrec 6 swons 7 swons 8 swons 9 swons sum
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6 [0 <=] [pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . ifte 6 swons 7 swons 8 swons 9 swons sum
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6 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [6] [0 <=] . infra first choice i 6 swons 7 swons 8 swons 9 swons sum
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6 . 0 <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 6] swaack first choice i 6 swons 7 swons 8 swons 9 swons sum
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6 0 . <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 6] swaack first choice i 6 swons 7 swons 8 swons 9 swons sum
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False . [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 6] swaack first choice i 6 swons 7 swons 8 swons 9 swons sum
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False [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 6] . swaack first choice i 6 swons 7 swons 8 swons 9 swons sum
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6 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [False] . first choice i 6 swons 7 swons 8 swons 9 swons sum
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6 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] False . choice i 6 swons 7 swons 8 swons 9 swons sum
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6 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . i 6 swons 7 swons 8 swons 9 swons sum
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6 . 1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 6 swons 7 swons 8 swons 9 swons sum
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6 1 . - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 6 swons 7 swons 8 swons 9 swons sum
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5 . dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 6 swons 7 swons 8 swons 9 swons sum
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5 5 . [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 6 swons 7 swons 8 swons 9 swons sum
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5 5 [[0 <=] [pop []] [1 - dup] [dip swons] genrec] . dip swons 6 swons 7 swons 8 swons 9 swons sum
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5 . [0 <=] [pop []] [1 - dup] [dip swons] genrec 5 swons 6 swons 7 swons 8 swons 9 swons sum
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5 [0 <=] . [pop []] [1 - dup] [dip swons] genrec 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
|
5 [0 <=] [pop []] . [1 - dup] [dip swons] genrec 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
|
5 [0 <=] [pop []] [1 - dup] . [dip swons] genrec 5 swons 6 swons 7 swons 8 swons 9 swons sum
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5 [0 <=] [pop []] [1 - dup] [dip swons] . genrec 5 swons 6 swons 7 swons 8 swons 9 swons sum
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5 [0 <=] [pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . ifte 5 swons 6 swons 7 swons 8 swons 9 swons sum
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5 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [5] [0 <=] . infra first choice i 5 swons 6 swons 7 swons 8 swons 9 swons sum
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5 . 0 <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 5] swaack first choice i 5 swons 6 swons 7 swons 8 swons 9 swons sum
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5 0 . <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 5] swaack first choice i 5 swons 6 swons 7 swons 8 swons 9 swons sum
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False . [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 5] swaack first choice i 5 swons 6 swons 7 swons 8 swons 9 swons sum
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False [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 5] . swaack first choice i 5 swons 6 swons 7 swons 8 swons 9 swons sum
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5 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [False] . first choice i 5 swons 6 swons 7 swons 8 swons 9 swons sum
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5 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] False . choice i 5 swons 6 swons 7 swons 8 swons 9 swons sum
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5 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . i 5 swons 6 swons 7 swons 8 swons 9 swons sum
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5 . 1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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5 1 . - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 . dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 4 . [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 4 [[0 <=] [pop []] [1 - dup] [dip swons] genrec] . dip swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 . [0 <=] [pop []] [1 - dup] [dip swons] genrec 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 [0 <=] . [pop []] [1 - dup] [dip swons] genrec 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
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4 [0 <=] [pop []] . [1 - dup] [dip swons] genrec 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
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4 [0 <=] [pop []] [1 - dup] . [dip swons] genrec 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
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4 [0 <=] [pop []] [1 - dup] [dip swons] . genrec 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 [0 <=] [pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . ifte 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [4] [0 <=] . infra first choice i 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 . 0 <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 4] swaack first choice i 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 0 . <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 4] swaack first choice i 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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False . [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 4] swaack first choice i 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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False [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 4] . swaack first choice i 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [False] . first choice i 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] False . choice i 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . i 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 . 1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 1 . - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 . dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 3 . [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 3 [[0 <=] [pop []] [1 - dup] [dip swons] genrec] . dip swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 . [0 <=] [pop []] [1 - dup] [dip swons] genrec 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 [0 <=] . [pop []] [1 - dup] [dip swons] genrec 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
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3 [0 <=] [pop []] . [1 - dup] [dip swons] genrec 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
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3 [0 <=] [pop []] [1 - dup] . [dip swons] genrec 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
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3 [0 <=] [pop []] [1 - dup] [dip swons] . genrec 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
|
3 [0 <=] [pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . ifte 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [3] [0 <=] . infra first choice i 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 . 0 <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 3] swaack first choice i 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 0 . <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 3] swaack first choice i 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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False . [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 3] swaack first choice i 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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False [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 3] . swaack first choice i 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [False] . first choice i 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] False . choice i 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . i 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 . 1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 1 . - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 . dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 2 . [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 2 [[0 <=] [pop []] [1 - dup] [dip swons] genrec] . dip swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 . [0 <=] [pop []] [1 - dup] [dip swons] genrec 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 [0 <=] . [pop []] [1 - dup] [dip swons] genrec 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 [0 <=] [pop []] . [1 - dup] [dip swons] genrec 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 [0 <=] [pop []] [1 - dup] . [dip swons] genrec 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 [0 <=] [pop []] [1 - dup] [dip swons] . genrec 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 [0 <=] [pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . ifte 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [2] [0 <=] . infra first choice i 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 . 0 <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 2] swaack first choice i 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 0 . <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 2] swaack first choice i 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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False . [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 2] swaack first choice i 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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False [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 2] . swaack first choice i 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [False] . first choice i 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] False . choice i 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . i 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 . 1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 1 . - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 . dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 1 . [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 1 [[0 <=] [pop []] [1 - dup] [dip swons] genrec] . dip swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 . [0 <=] [pop []] [1 - dup] [dip swons] genrec 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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|
1 [0 <=] . [pop []] [1 - dup] [dip swons] genrec 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 [0 <=] [pop []] . [1 - dup] [dip swons] genrec 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 [0 <=] [pop []] [1 - dup] . [dip swons] genrec 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 [0 <=] [pop []] [1 - dup] [dip swons] . genrec 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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|
1 [0 <=] [pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . ifte 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [1] [0 <=] . infra first choice i 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 . 0 <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 1] swaack first choice i 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 0 . <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 1] swaack first choice i 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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False . [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 1] swaack first choice i 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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False [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 1] . swaack first choice i 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [False] . first choice i 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] False . choice i 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . i 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 . 1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 1 . - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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0 . dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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|
0 0 . [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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0 0 [[0 <=] [pop []] [1 - dup] [dip swons] genrec] . dip swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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0 . [0 <=] [pop []] [1 - dup] [dip swons] genrec 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
|
0 [0 <=] . [pop []] [1 - dup] [dip swons] genrec 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
|
0 [0 <=] [pop []] . [1 - dup] [dip swons] genrec 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
|
0 [0 <=] [pop []] [1 - dup] . [dip swons] genrec 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
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0 [0 <=] [pop []] [1 - dup] [dip swons] . genrec 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
|
0 [0 <=] [pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] . ifte 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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0 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [0] [0 <=] . infra first choice i 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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0 . 0 <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 0] swaack first choice i 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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0 0 . <= [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 0] swaack first choice i 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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True . [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 0] swaack first choice i 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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True [[pop []] [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] 0] . swaack first choice i 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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0 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] [True] . first choice i 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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0 [1 - dup [[0 <=] [pop []] [1 - dup] [dip swons] genrec] dip swons] [pop []] True . choice i 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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0 [pop []] . i 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
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0 . pop [] 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
|
. [] 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
|
[] . 0 swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
|
[] 0 . swons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
|
[] 0 . swap cons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
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0 [] . cons 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
|
[0] . 1 swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
|
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[0] 1 . swons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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[0] 1 . swap cons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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1 [0] . cons 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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[1 0] . 2 swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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[1 0] 2 . swons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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[1 0] 2 . swap cons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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2 [1 0] . cons 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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[2 1 0] . 3 swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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[2 1 0] 3 . swons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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[2 1 0] 3 . swap cons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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3 [2 1 0] . cons 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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[3 2 1 0] . 4 swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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[3 2 1 0] 4 . swons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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[3 2 1 0] 4 . swap cons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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4 [3 2 1 0] . cons 5 swons 6 swons 7 swons 8 swons 9 swons sum
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[4 3 2 1 0] . 5 swons 6 swons 7 swons 8 swons 9 swons sum
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[4 3 2 1 0] 5 . swons 6 swons 7 swons 8 swons 9 swons sum
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[4 3 2 1 0] 5 . swap cons 6 swons 7 swons 8 swons 9 swons sum
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5 [4 3 2 1 0] . cons 6 swons 7 swons 8 swons 9 swons sum
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[5 4 3 2 1 0] . 6 swons 7 swons 8 swons 9 swons sum
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[5 4 3 2 1 0] 6 . swons 7 swons 8 swons 9 swons sum
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[5 4 3 2 1 0] 6 . swap cons 7 swons 8 swons 9 swons sum
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6 [5 4 3 2 1 0] . cons 7 swons 8 swons 9 swons sum
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[6 5 4 3 2 1 0] . 7 swons 8 swons 9 swons sum
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[6 5 4 3 2 1 0] 7 . swons 8 swons 9 swons sum
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[6 5 4 3 2 1 0] 7 . swap cons 8 swons 9 swons sum
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7 [6 5 4 3 2 1 0] . cons 8 swons 9 swons sum
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[7 6 5 4 3 2 1 0] . 8 swons 9 swons sum
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[7 6 5 4 3 2 1 0] 8 . swons 9 swons sum
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[7 6 5 4 3 2 1 0] 8 . swap cons 9 swons sum
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8 [7 6 5 4 3 2 1 0] . cons 9 swons sum
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[8 7 6 5 4 3 2 1 0] . 9 swons sum
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[8 7 6 5 4 3 2 1 0] 9 . swons sum
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[8 7 6 5 4 3 2 1 0] 9 . swap cons sum
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9 [8 7 6 5 4 3 2 1 0] . cons sum
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[9 8 7 6 5 4 3 2 1 0] . sum
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[9 8 7 6 5 4 3 2 1 0] . 0 [+] catamorphism
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[9 8 7 6 5 4 3 2 1 0] 0 . [+] catamorphism
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[9 8 7 6 5 4 3 2 1 0] 0 [+] . catamorphism
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[9 8 7 6 5 4 3 2 1 0] 0 [+] . [[] =] roll> [uncons swap] swap hylomorphism
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[9 8 7 6 5 4 3 2 1 0] 0 [+] [[] =] . roll> [uncons swap] swap hylomorphism
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[9 8 7 6 5 4 3 2 1 0] [[] =] 0 [+] . [uncons swap] swap hylomorphism
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[9 8 7 6 5 4 3 2 1 0] [[] =] 0 [+] [uncons swap] . swap hylomorphism
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[9 8 7 6 5 4 3 2 1 0] [[] =] 0 [uncons swap] [+] . hylomorphism
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[9 8 7 6 5 4 3 2 1 0] [[] =] 0 [uncons swap] [+] . [unit [pop] swoncat] dipd [dip] swoncat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] 0 [uncons swap] [+] [unit [pop] swoncat] . dipd [dip] swoncat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] 0 . unit [pop] swoncat [uncons swap] [+] [dip] swoncat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] 0 . [] cons [pop] swoncat [uncons swap] [+] [dip] swoncat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] 0 [] . cons [pop] swoncat [uncons swap] [+] [dip] swoncat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] [0] . [pop] swoncat [uncons swap] [+] [dip] swoncat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] [0] [pop] . swoncat [uncons swap] [+] [dip] swoncat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] [0] [pop] . swap concat [uncons swap] [+] [dip] swoncat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] [pop] [0] . concat [uncons swap] [+] [dip] swoncat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] [pop 0] . [uncons swap] [+] [dip] swoncat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] . [+] [dip] swoncat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] [+] . [dip] swoncat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] [+] [dip] . swoncat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] [+] [dip] . swap concat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] [dip] [+] . concat genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] [dip +] . genrec
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[9 8 7 6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte
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[9 8 7 6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[9 8 7 6 5 4 3 2 1 0]] [[] =] . infra first choice i
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[9 8 7 6 5 4 3 2 1 0] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [9 8 7 6 5 4 3 2 1 0]] swaack first choice i
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[9 8 7 6 5 4 3 2 1 0] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [9 8 7 6 5 4 3 2 1 0]] swaack first choice i
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False . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [9 8 7 6 5 4 3 2 1 0]] swaack first choice i
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False [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [9 8 7 6 5 4 3 2 1 0]] . swaack first choice i
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[9 8 7 6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [False] . first choice i
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[9 8 7 6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] False . choice i
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[9 8 7 6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . i
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[9 8 7 6 5 4 3 2 1 0] . uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +
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9 [8 7 6 5 4 3 2 1 0] . swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +
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[8 7 6 5 4 3 2 1 0] 9 . [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +
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[8 7 6 5 4 3 2 1 0] 9 [[[] =] [pop 0] [uncons swap] [dip +] genrec] . dip +
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[8 7 6 5 4 3 2 1 0] . [[] =] [pop 0] [uncons swap] [dip +] genrec 9 +
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[8 7 6 5 4 3 2 1 0] [[] =] . [pop 0] [uncons swap] [dip +] genrec 9 +
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[8 7 6 5 4 3 2 1 0] [[] =] [pop 0] . [uncons swap] [dip +] genrec 9 +
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[8 7 6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] . [dip +] genrec 9 +
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[8 7 6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] [dip +] . genrec 9 +
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[8 7 6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte 9 +
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[8 7 6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[8 7 6 5 4 3 2 1 0]] [[] =] . infra first choice i 9 +
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[8 7 6 5 4 3 2 1 0] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [8 7 6 5 4 3 2 1 0]] swaack first choice i 9 +
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[8 7 6 5 4 3 2 1 0] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [8 7 6 5 4 3 2 1 0]] swaack first choice i 9 +
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False . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [8 7 6 5 4 3 2 1 0]] swaack first choice i 9 +
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False [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [8 7 6 5 4 3 2 1 0]] . swaack first choice i 9 +
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[8 7 6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [False] . first choice i 9 +
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[8 7 6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] False . choice i 9 +
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[8 7 6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . i 9 +
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[8 7 6 5 4 3 2 1 0] . uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 9 +
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8 [7 6 5 4 3 2 1 0] . swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 9 +
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[7 6 5 4 3 2 1 0] 8 . [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 9 +
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[7 6 5 4 3 2 1 0] 8 [[[] =] [pop 0] [uncons swap] [dip +] genrec] . dip + 9 +
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[7 6 5 4 3 2 1 0] . [[] =] [pop 0] [uncons swap] [dip +] genrec 8 + 9 +
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[7 6 5 4 3 2 1 0] [[] =] . [pop 0] [uncons swap] [dip +] genrec 8 + 9 +
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[7 6 5 4 3 2 1 0] [[] =] [pop 0] . [uncons swap] [dip +] genrec 8 + 9 +
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[7 6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] . [dip +] genrec 8 + 9 +
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[7 6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] [dip +] . genrec 8 + 9 +
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[7 6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte 8 + 9 +
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[7 6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[7 6 5 4 3 2 1 0]] [[] =] . infra first choice i 8 + 9 +
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[7 6 5 4 3 2 1 0] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [7 6 5 4 3 2 1 0]] swaack first choice i 8 + 9 +
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[7 6 5 4 3 2 1 0] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [7 6 5 4 3 2 1 0]] swaack first choice i 8 + 9 +
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False . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [7 6 5 4 3 2 1 0]] swaack first choice i 8 + 9 +
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False [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [7 6 5 4 3 2 1 0]] . swaack first choice i 8 + 9 +
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[7 6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [False] . first choice i 8 + 9 +
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[7 6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] False . choice i 8 + 9 +
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[7 6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . i 8 + 9 +
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[7 6 5 4 3 2 1 0] . uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 8 + 9 +
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7 [6 5 4 3 2 1 0] . swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 8 + 9 +
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[6 5 4 3 2 1 0] 7 . [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 8 + 9 +
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[6 5 4 3 2 1 0] 7 [[[] =] [pop 0] [uncons swap] [dip +] genrec] . dip + 8 + 9 +
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[6 5 4 3 2 1 0] . [[] =] [pop 0] [uncons swap] [dip +] genrec 7 + 8 + 9 +
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[6 5 4 3 2 1 0] [[] =] . [pop 0] [uncons swap] [dip +] genrec 7 + 8 + 9 +
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[6 5 4 3 2 1 0] [[] =] [pop 0] . [uncons swap] [dip +] genrec 7 + 8 + 9 +
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[6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] . [dip +] genrec 7 + 8 + 9 +
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[6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] [dip +] . genrec 7 + 8 + 9 +
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[6 5 4 3 2 1 0] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte 7 + 8 + 9 +
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[6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[6 5 4 3 2 1 0]] [[] =] . infra first choice i 7 + 8 + 9 +
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[6 5 4 3 2 1 0] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [6 5 4 3 2 1 0]] swaack first choice i 7 + 8 + 9 +
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[6 5 4 3 2 1 0] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [6 5 4 3 2 1 0]] swaack first choice i 7 + 8 + 9 +
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False . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [6 5 4 3 2 1 0]] swaack first choice i 7 + 8 + 9 +
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False [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [6 5 4 3 2 1 0]] . swaack first choice i 7 + 8 + 9 +
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[6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [False] . first choice i 7 + 8 + 9 +
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[6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] False . choice i 7 + 8 + 9 +
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[6 5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . i 7 + 8 + 9 +
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[6 5 4 3 2 1 0] . uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 7 + 8 + 9 +
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6 [5 4 3 2 1 0] . swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 7 + 8 + 9 +
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[5 4 3 2 1 0] 6 . [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 7 + 8 + 9 +
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[5 4 3 2 1 0] 6 [[[] =] [pop 0] [uncons swap] [dip +] genrec] . dip + 7 + 8 + 9 +
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[5 4 3 2 1 0] . [[] =] [pop 0] [uncons swap] [dip +] genrec 6 + 7 + 8 + 9 +
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[5 4 3 2 1 0] [[] =] . [pop 0] [uncons swap] [dip +] genrec 6 + 7 + 8 + 9 +
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[5 4 3 2 1 0] [[] =] [pop 0] . [uncons swap] [dip +] genrec 6 + 7 + 8 + 9 +
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[5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] . [dip +] genrec 6 + 7 + 8 + 9 +
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[5 4 3 2 1 0] [[] =] [pop 0] [uncons swap] [dip +] . genrec 6 + 7 + 8 + 9 +
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[5 4 3 2 1 0] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte 6 + 7 + 8 + 9 +
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[5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[5 4 3 2 1 0]] [[] =] . infra first choice i 6 + 7 + 8 + 9 +
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[5 4 3 2 1 0] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [5 4 3 2 1 0]] swaack first choice i 6 + 7 + 8 + 9 +
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[5 4 3 2 1 0] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [5 4 3 2 1 0]] swaack first choice i 6 + 7 + 8 + 9 +
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False . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [5 4 3 2 1 0]] swaack first choice i 6 + 7 + 8 + 9 +
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False [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [5 4 3 2 1 0]] . swaack first choice i 6 + 7 + 8 + 9 +
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[5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [False] . first choice i 6 + 7 + 8 + 9 +
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[5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] False . choice i 6 + 7 + 8 + 9 +
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[5 4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . i 6 + 7 + 8 + 9 +
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[5 4 3 2 1 0] . uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 6 + 7 + 8 + 9 +
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5 [4 3 2 1 0] . swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] 5 . [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] 5 [[[] =] [pop 0] [uncons swap] [dip +] genrec] . dip + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] . [[] =] [pop 0] [uncons swap] [dip +] genrec 5 + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] [[] =] . [pop 0] [uncons swap] [dip +] genrec 5 + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] [[] =] [pop 0] . [uncons swap] [dip +] genrec 5 + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] [[] =] [pop 0] [uncons swap] . [dip +] genrec 5 + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] [[] =] [pop 0] [uncons swap] [dip +] . genrec 5 + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte 5 + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[4 3 2 1 0]] [[] =] . infra first choice i 5 + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [4 3 2 1 0]] swaack first choice i 5 + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [4 3 2 1 0]] swaack first choice i 5 + 6 + 7 + 8 + 9 +
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False . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [4 3 2 1 0]] swaack first choice i 5 + 6 + 7 + 8 + 9 +
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False [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [4 3 2 1 0]] . swaack first choice i 5 + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [False] . first choice i 5 + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] False . choice i 5 + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . i 5 + 6 + 7 + 8 + 9 +
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[4 3 2 1 0] . uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 5 + 6 + 7 + 8 + 9 +
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4 [3 2 1 0] . swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] 4 . [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] 4 [[[] =] [pop 0] [uncons swap] [dip +] genrec] . dip + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] . [[] =] [pop 0] [uncons swap] [dip +] genrec 4 + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] [[] =] . [pop 0] [uncons swap] [dip +] genrec 4 + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] [[] =] [pop 0] . [uncons swap] [dip +] genrec 4 + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] [[] =] [pop 0] [uncons swap] . [dip +] genrec 4 + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] [[] =] [pop 0] [uncons swap] [dip +] . genrec 4 + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte 4 + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[3 2 1 0]] [[] =] . infra first choice i 4 + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [3 2 1 0]] swaack first choice i 4 + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [3 2 1 0]] swaack first choice i 4 + 5 + 6 + 7 + 8 + 9 +
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False . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [3 2 1 0]] swaack first choice i 4 + 5 + 6 + 7 + 8 + 9 +
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False [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [3 2 1 0]] . swaack first choice i 4 + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [False] . first choice i 4 + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] False . choice i 4 + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . i 4 + 5 + 6 + 7 + 8 + 9 +
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[3 2 1 0] . uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 4 + 5 + 6 + 7 + 8 + 9 +
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3 [2 1 0] . swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] 3 . [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] 3 [[[] =] [pop 0] [uncons swap] [dip +] genrec] . dip + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] . [[] =] [pop 0] [uncons swap] [dip +] genrec 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] [[] =] . [pop 0] [uncons swap] [dip +] genrec 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] [[] =] [pop 0] . [uncons swap] [dip +] genrec 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] [[] =] [pop 0] [uncons swap] . [dip +] genrec 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] [[] =] [pop 0] [uncons swap] [dip +] . genrec 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[2 1 0]] [[] =] . infra first choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [2 1 0]] swaack first choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [2 1 0]] swaack first choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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False . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [2 1 0]] swaack first choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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False [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [2 1 0]] . swaack first choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [False] . first choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] False . choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[2 1 0] . uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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2 [1 0] . swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] 2 . [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] 2 [[[] =] [pop 0] [uncons swap] [dip +] genrec] . dip + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] . [[] =] [pop 0] [uncons swap] [dip +] genrec 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] [[] =] . [pop 0] [uncons swap] [dip +] genrec 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] [[] =] [pop 0] . [uncons swap] [dip +] genrec 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] [[] =] [pop 0] [uncons swap] . [dip +] genrec 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] [[] =] [pop 0] [uncons swap] [dip +] . genrec 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[1 0]] [[] =] . infra first choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [1 0]] swaack first choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [1 0]] swaack first choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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False . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [1 0]] swaack first choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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False [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [1 0]] . swaack first choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [False] . first choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] False . choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[1 0] . uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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1 [0] . swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[0] 1 . [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[0] 1 [[[] =] [pop 0] [uncons swap] [dip +] genrec] . dip + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[0] . [[] =] [pop 0] [uncons swap] [dip +] genrec 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[0] [[] =] . [pop 0] [uncons swap] [dip +] genrec 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
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[0] [[] =] [pop 0] . [uncons swap] [dip +] genrec 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
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[0] [[] =] [pop 0] [uncons swap] . [dip +] genrec 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[0] [[] =] [pop 0] [uncons swap] [dip +] . genrec 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[0] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[0]] [[] =] . infra first choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[0] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [0]] swaack first choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[0] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [0]] swaack first choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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False . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [0]] swaack first choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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False [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [0]] . swaack first choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [False] . first choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] False . choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[0] . uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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0 [] . swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] 0 . [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] 0 [[[] =] [pop 0] [uncons swap] [dip +] genrec] . dip + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] . [[] =] [pop 0] [uncons swap] [dip +] genrec 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] [[] =] . [pop 0] [uncons swap] [dip +] genrec 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] [[] =] [pop 0] . [uncons swap] [dip +] genrec 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] [[] =] [pop 0] [uncons swap] . [dip +] genrec 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] [[] =] [pop 0] [uncons swap] [dip +] . genrec 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[]] [[] =] . infra first choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] []] swaack first choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] []] swaack first choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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True . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] []] swaack first choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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True [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] []] . swaack first choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [True] . first choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] True . choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] [pop 0] . i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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[] . pop 0 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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. 0 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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0 . 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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0 0 . + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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0 . 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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0 1 . + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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1 . 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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1 2 . + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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3 . 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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3 3 . + 4 + 5 + 6 + 7 + 8 + 9 +
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6 . 4 + 5 + 6 + 7 + 8 + 9 +
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6 4 . + 5 + 6 + 7 + 8 + 9 +
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10 . 5 + 6 + 7 + 8 + 9 +
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10 5 . + 6 + 7 + 8 + 9 +
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15 . 6 + 7 + 8 + 9 +
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15 6 . + 7 + 8 + 9 +
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21 . 7 + 8 + 9 +
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21 7 . + 8 + 9 +
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28 . 8 + 9 +
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28 8 . + 9 +
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36 . 9 +
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36 9 . +
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45 .
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.. code:: ipython2
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V('10 range_sum')
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.. parsed-literal::
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. 10 range_sum
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10 . range_sum
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10 . [0 <=] 0 [1 - dup] [+] hylomorphism
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10 [0 <=] . 0 [1 - dup] [+] hylomorphism
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10 [0 <=] 0 . [1 - dup] [+] hylomorphism
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10 [0 <=] 0 [1 - dup] . [+] hylomorphism
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10 [0 <=] 0 [1 - dup] [+] . hylomorphism
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10 [0 <=] 0 [1 - dup] [+] . [unit [pop] swoncat] dipd [dip] swoncat genrec
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10 [0 <=] 0 [1 - dup] [+] [unit [pop] swoncat] . dipd [dip] swoncat genrec
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10 [0 <=] 0 . unit [pop] swoncat [1 - dup] [+] [dip] swoncat genrec
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10 [0 <=] 0 . [] cons [pop] swoncat [1 - dup] [+] [dip] swoncat genrec
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10 [0 <=] 0 [] . cons [pop] swoncat [1 - dup] [+] [dip] swoncat genrec
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10 [0 <=] [0] . [pop] swoncat [1 - dup] [+] [dip] swoncat genrec
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10 [0 <=] [0] [pop] . swoncat [1 - dup] [+] [dip] swoncat genrec
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10 [0 <=] [0] [pop] . swap concat [1 - dup] [+] [dip] swoncat genrec
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10 [0 <=] [pop] [0] . concat [1 - dup] [+] [dip] swoncat genrec
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10 [0 <=] [pop 0] . [1 - dup] [+] [dip] swoncat genrec
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10 [0 <=] [pop 0] [1 - dup] . [+] [dip] swoncat genrec
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10 [0 <=] [pop 0] [1 - dup] [+] . [dip] swoncat genrec
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10 [0 <=] [pop 0] [1 - dup] [+] [dip] . swoncat genrec
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10 [0 <=] [pop 0] [1 - dup] [+] [dip] . swap concat genrec
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10 [0 <=] [pop 0] [1 - dup] [dip] [+] . concat genrec
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10 [0 <=] [pop 0] [1 - dup] [dip +] . genrec
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10 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte
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10 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [10] [0 <=] . infra first choice i
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10 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 10] swaack first choice i
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10 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 10] swaack first choice i
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False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 10] swaack first choice i
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False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 10] . swaack first choice i
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10 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i
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10 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i
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10 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i
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10 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +
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10 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +
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9 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +
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9 9 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +
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9 9 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip +
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9 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 9 +
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9 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 9 +
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9 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 9 +
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9 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 9 +
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9 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 9 +
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9 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 9 +
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9 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [9] [0 <=] . infra first choice i 9 +
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9 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 9] swaack first choice i 9 +
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9 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 9] swaack first choice i 9 +
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False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 9] swaack first choice i 9 +
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False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 9] . swaack first choice i 9 +
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9 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i 9 +
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9 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i 9 +
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9 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i 9 +
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9 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 9 +
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9 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 9 +
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8 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 9 +
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8 8 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 9 +
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8 8 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip + 9 +
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8 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 8 + 9 +
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8 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 8 + 9 +
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8 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 8 + 9 +
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8 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 8 + 9 +
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8 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 8 + 9 +
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8 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 8 + 9 +
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8 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [8] [0 <=] . infra first choice i 8 + 9 +
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8 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 8] swaack first choice i 8 + 9 +
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8 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 8] swaack first choice i 8 + 9 +
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False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 8] swaack first choice i 8 + 9 +
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False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 8] . swaack first choice i 8 + 9 +
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8 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i 8 + 9 +
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8 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i 8 + 9 +
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8 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i 8 + 9 +
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8 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 8 + 9 +
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8 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 8 + 9 +
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7 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 8 + 9 +
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7 7 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 8 + 9 +
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7 7 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip + 8 + 9 +
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7 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 7 + 8 + 9 +
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7 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 7 + 8 + 9 +
|
|
7 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 7 + 8 + 9 +
|
|
7 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 7 + 8 + 9 +
|
|
7 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 7 + 8 + 9 +
|
|
7 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 7 + 8 + 9 +
|
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7 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [7] [0 <=] . infra first choice i 7 + 8 + 9 +
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7 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 7] swaack first choice i 7 + 8 + 9 +
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|
7 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 7] swaack first choice i 7 + 8 + 9 +
|
|
False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 7] swaack first choice i 7 + 8 + 9 +
|
|
False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 7] . swaack first choice i 7 + 8 + 9 +
|
|
7 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i 7 + 8 + 9 +
|
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7 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i 7 + 8 + 9 +
|
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7 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i 7 + 8 + 9 +
|
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7 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 7 + 8 + 9 +
|
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7 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 7 + 8 + 9 +
|
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6 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 7 + 8 + 9 +
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6 6 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 7 + 8 + 9 +
|
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6 6 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip + 7 + 8 + 9 +
|
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6 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 6 + 7 + 8 + 9 +
|
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6 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 6 + 7 + 8 + 9 +
|
|
6 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 6 + 7 + 8 + 9 +
|
|
6 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 6 + 7 + 8 + 9 +
|
|
6 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 6 + 7 + 8 + 9 +
|
|
6 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 6 + 7 + 8 + 9 +
|
|
6 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [6] [0 <=] . infra first choice i 6 + 7 + 8 + 9 +
|
|
6 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 6] swaack first choice i 6 + 7 + 8 + 9 +
|
|
6 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 6] swaack first choice i 6 + 7 + 8 + 9 +
|
|
False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 6] swaack first choice i 6 + 7 + 8 + 9 +
|
|
False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 6] . swaack first choice i 6 + 7 + 8 + 9 +
|
|
6 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i 6 + 7 + 8 + 9 +
|
|
6 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i 6 + 7 + 8 + 9 +
|
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6 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i 6 + 7 + 8 + 9 +
|
|
6 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 6 + 7 + 8 + 9 +
|
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6 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 6 + 7 + 8 + 9 +
|
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5 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 6 + 7 + 8 + 9 +
|
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5 5 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 6 + 7 + 8 + 9 +
|
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5 5 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip + 6 + 7 + 8 + 9 +
|
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5 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 5 + 6 + 7 + 8 + 9 +
|
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5 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 5 + 6 + 7 + 8 + 9 +
|
|
5 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 5 + 6 + 7 + 8 + 9 +
|
|
5 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 5 + 6 + 7 + 8 + 9 +
|
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5 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 5 + 6 + 7 + 8 + 9 +
|
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5 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 5 + 6 + 7 + 8 + 9 +
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5 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [5] [0 <=] . infra first choice i 5 + 6 + 7 + 8 + 9 +
|
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5 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 5] swaack first choice i 5 + 6 + 7 + 8 + 9 +
|
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5 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 5] swaack first choice i 5 + 6 + 7 + 8 + 9 +
|
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False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 5] swaack first choice i 5 + 6 + 7 + 8 + 9 +
|
|
False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 5] . swaack first choice i 5 + 6 + 7 + 8 + 9 +
|
|
5 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i 5 + 6 + 7 + 8 + 9 +
|
|
5 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i 5 + 6 + 7 + 8 + 9 +
|
|
5 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i 5 + 6 + 7 + 8 + 9 +
|
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5 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 5 + 6 + 7 + 8 + 9 +
|
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5 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 5 + 6 + 7 + 8 + 9 +
|
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4 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 5 + 6 + 7 + 8 + 9 +
|
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4 4 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 5 + 6 + 7 + 8 + 9 +
|
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4 4 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip + 5 + 6 + 7 + 8 + 9 +
|
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4 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 4 + 5 + 6 + 7 + 8 + 9 +
|
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4 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 4 + 5 + 6 + 7 + 8 + 9 +
|
|
4 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 4 + 5 + 6 + 7 + 8 + 9 +
|
|
4 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 4 + 5 + 6 + 7 + 8 + 9 +
|
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4 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 4 + 5 + 6 + 7 + 8 + 9 +
|
|
4 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 4 + 5 + 6 + 7 + 8 + 9 +
|
|
4 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [4] [0 <=] . infra first choice i 4 + 5 + 6 + 7 + 8 + 9 +
|
|
4 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 4] swaack first choice i 4 + 5 + 6 + 7 + 8 + 9 +
|
|
4 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 4] swaack first choice i 4 + 5 + 6 + 7 + 8 + 9 +
|
|
False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 4] swaack first choice i 4 + 5 + 6 + 7 + 8 + 9 +
|
|
False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 4] . swaack first choice i 4 + 5 + 6 + 7 + 8 + 9 +
|
|
4 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i 4 + 5 + 6 + 7 + 8 + 9 +
|
|
4 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i 4 + 5 + 6 + 7 + 8 + 9 +
|
|
4 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i 4 + 5 + 6 + 7 + 8 + 9 +
|
|
4 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
4 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 4 + 5 + 6 + 7 + 8 + 9 +
|
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3 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 4 + 5 + 6 + 7 + 8 + 9 +
|
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3 3 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 4 + 5 + 6 + 7 + 8 + 9 +
|
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3 3 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
3 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
3 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
3 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
3 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
3 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
3 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
3 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [3] [0 <=] . infra first choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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3 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 3] swaack first choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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3 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 3] swaack first choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 3] swaack first choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 3] . swaack first choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
3 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
3 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
3 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
3 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
3 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
2 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
2 2 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
2 2 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
2 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
2 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
2 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
2 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
2 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
2 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
2 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [2] [0 <=] . infra first choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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|
2 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 2] swaack first choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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|
2 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 2] swaack first choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 2] swaack first choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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|
False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 2] . swaack first choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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|
2 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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|
2 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
2 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
2 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
2 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
1 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
1 1 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
1 1 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
1 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
1 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
1 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
1 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
1 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
1 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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|
1 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [1] [0 <=] . infra first choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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|
1 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 1] swaack first choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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1 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 1] swaack first choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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|
False . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 1] swaack first choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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False [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 1] . swaack first choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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|
1 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [False] . first choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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1 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] False . choice i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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1 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . i 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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|
1 . 1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
1 1 . - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
0 . dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
0 0 . [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
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0 0 [[0 <=] [pop 0] [1 - dup] [dip +] genrec] . dip + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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0 . [0 <=] [pop 0] [1 - dup] [dip +] genrec 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
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0 [0 <=] . [pop 0] [1 - dup] [dip +] genrec 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
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0 [0 <=] [pop 0] . [1 - dup] [dip +] genrec 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
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0 [0 <=] [pop 0] [1 - dup] . [dip +] genrec 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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0 [0 <=] [pop 0] [1 - dup] [dip +] . genrec 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
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0 [0 <=] [pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] . ifte 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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0 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [0] [0 <=] . infra first choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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0 . 0 <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 0] swaack first choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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|
0 0 . <= [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 0] swaack first choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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|
True . [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 0] swaack first choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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True [[pop 0] [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] 0] . swaack first choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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|
0 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] [True] . first choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
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0 [1 - dup [[0 <=] [pop 0] [1 - dup] [dip +] genrec] dip +] [pop 0] True . choice i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
0 [pop 0] . i 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
0 . pop 0 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
. 0 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
0 . 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
0 0 . + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
0 . 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
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0 1 . + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
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1 . 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
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1 2 . + 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
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3 . 3 + 4 + 5 + 6 + 7 + 8 + 9 +
|
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3 3 . + 4 + 5 + 6 + 7 + 8 + 9 +
|
|
6 . 4 + 5 + 6 + 7 + 8 + 9 +
|
|
6 4 . + 5 + 6 + 7 + 8 + 9 +
|
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10 . 5 + 6 + 7 + 8 + 9 +
|
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10 5 . + 6 + 7 + 8 + 9 +
|
|
15 . 6 + 7 + 8 + 9 +
|
|
15 6 . + 7 + 8 + 9 +
|
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21 . 7 + 8 + 9 +
|
|
21 7 . + 8 + 9 +
|
|
28 . 8 + 9 +
|
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28 8 . + 9 +
|
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36 . 9 +
|
|
36 9 . +
|
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45 .
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Factorial Function and Paramorphisms
|
|
====================================
|
|
|
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A paramorphism ``P :: B -> A`` is a recursion combinator that uses
|
|
``dup`` on intermediate values.
|
|
|
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::
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|
|
n swap [P] [pop] [[F] dupdip G] primrec
|
|
|
|
With - ``n :: A`` is the "identity" for ``F`` (like 1 for
|
|
multiplication, 0 for addition) - ``F :: (A, B) -> A`` - ``G :: B -> B``
|
|
generates the next ``B`` value. - and lastly ``P :: B -> Bool`` detects
|
|
the end of the series.
|
|
|
|
For Factorial function (types ``A`` and ``B`` are both integer):
|
|
|
|
::
|
|
|
|
n == 1
|
|
F == *
|
|
G == --
|
|
P == 1 <=
|
|
|
|
.. code:: ipython2
|
|
|
|
define('factorial == 1 swap [1 <=] [pop] [[*] dupdip --] primrec')
|
|
|
|
Try it with input 3 (omitting evaluation of predicate):
|
|
|
|
::
|
|
|
|
3 1 swap [1 <=] [pop] [[*] dupdip --] primrec
|
|
1 3 [1 <=] [pop] [[*] dupdip --] primrec
|
|
|
|
1 3 [*] dupdip --
|
|
1 3 * 3 --
|
|
3 3 --
|
|
3 2
|
|
|
|
3 2 [*] dupdip --
|
|
3 2 * 2 --
|
|
6 2 --
|
|
6 1
|
|
|
|
6 1 [1 <=] [pop] [[*] dupdip --] primrec
|
|
|
|
6 1 pop
|
|
6
|
|
|
|
.. code:: ipython2
|
|
|
|
J('3 factorial')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
6
|
|
|
|
|
|
Derive ``paramorphism`` from the form above.
|
|
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|
|
|
::
|
|
|
|
n swap [P] [pop] [[F] dupdip G] primrec
|
|
|
|
n swap [P] [pop] [[F] dupdip G] primrec
|
|
n [P] [swap] dip [pop] [[F] dupdip G] primrec
|
|
n [P] [[F] dupdip G] [[swap] dip [pop]] dip primrec
|
|
n [P] [F] [dupdip G] cons [[swap] dip [pop]] dip primrec
|
|
n [P] [F] [G] [dupdip] swoncat cons [[swap] dip [pop]] dip primrec
|
|
|
|
paramorphism == [dupdip] swoncat cons [[swap] dip [pop]] dip primrec
|
|
|
|
.. code:: ipython2
|
|
|
|
define('paramorphism == [dupdip] swoncat cons [[swap] dip [pop]] dip primrec')
|
|
define('factorial == 1 [1 <=] [*] [--] paramorphism')
|
|
|
|
.. code:: ipython2
|
|
|
|
J('3 factorial')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
6
|
|
|
|
|
|
``tails``
|
|
=========
|
|
|
|
An example of a paramorphism for lists given in the `"Bananas..."
|
|
paper <http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.41.125>`__
|
|
is ``tails`` which returns the list of "tails" of a list.
|
|
|
|
::
|
|
|
|
[1 2 3] tails == [[] [3] [2 3]]
|
|
|
|
Using ``paramorphism`` we would write:
|
|
|
|
::
|
|
|
|
n == []
|
|
F == rest swons
|
|
G == rest
|
|
P == not
|
|
|
|
tails == [] [not] [rest swons] [rest] paramorphism
|
|
|
|
.. code:: ipython2
|
|
|
|
define('tails == [] [not] [rest swons] [rest] paramorphism')
|
|
|
|
.. code:: ipython2
|
|
|
|
J('[1 2 3] tails')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
[[] [3] [2 3]]
|
|
|
|
|
|
.. code:: ipython2
|
|
|
|
J('25 range tails [popop] infra [sum] map')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
[1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253 276]
|
|
|
|
|
|
.. code:: ipython2
|
|
|
|
J('25 range [range_sum] map')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
[276 253 231 210 190 171 153 136 120 105 91 78 66 55 45 36 28 21 15 10 6 3 1 0 0]
|
|
|
|
|
|
Factoring ``rest``
|
|
~~~~~~~~~~~~~~~~~~
|
|
|
|
Right before the recursion begins we have:
|
|
|
|
::
|
|
|
|
[] [1 2 3] [not] [pop] [[rest swons] dupdip rest] primrec
|
|
|
|
But we might prefer to factor ``rest`` in the quote:
|
|
|
|
::
|
|
|
|
[] [1 2 3] [not] [pop] [rest [swons] dupdip] primrec
|
|
|
|
There's no way to do that with the ``paramorphism`` combinator as
|
|
defined. We would have to write and use a slightly different recursion
|
|
combinator that accepted an additional "preprocessor" function ``[H]``
|
|
and built:
|
|
|
|
::
|
|
|
|
n swap [P] [pop] [H [F] dupdip G] primrec
|
|
|
|
Or just write it out manually. This is yet another place where the
|
|
*sufficiently smart compiler* will one day automatically refactor the
|
|
code. We could write a ``paramorphism`` combinator that checked ``[F]``
|
|
and ``[G]`` for common prefix and extracted it.
|
|
|
|
Patterns of Recursion
|
|
=====================
|
|
|
|
Our story so far...
|
|
|
|
- A combiner ``F :: (B, B) -> B``
|
|
- A predicate ``P :: A -> Bool`` to detect the base case
|
|
- A base case value ``c :: B``
|
|
|
|
Hylo-, Ana-, Cata-
|
|
~~~~~~~~~~~~~~~~~~
|
|
|
|
::
|
|
|
|
w/ G :: A -> (A, B)
|
|
|
|
H == [P ] [pop c ] [G ] [dip F ] genrec
|
|
A == [P ] [pop []] [G ] [dip swons] genrec
|
|
C == [[] =] [pop c ] [uncons swap] [dip F ] genrec
|
|
|
|
Para-, ?-, ?-
|
|
~~~~~~~~~~~~~
|
|
|
|
::
|
|
|
|
w/ G :: B -> B
|
|
|
|
P == c swap [P ] [pop] [[F ] dupdip G ] primrec
|
|
? == [] swap [P ] [pop] [[swons] dupdip G ] primrec
|
|
? == c swap [[] =] [pop] [[F ] dupdip uncons swap] primrec
|
|
|
|
Four Generalizations
|
|
====================
|
|
|
|
There are at least four kinds of recursive combinator, depending on two
|
|
choices. The first choice is whether the combiner function should be
|
|
evaluated during the recursion or pushed into the pending expression to
|
|
be "collapsed" at the end. The second choice is whether the combiner
|
|
needs to operate on the current value of the datastructure or the
|
|
generator's output.
|
|
|
|
::
|
|
|
|
H == [P] [pop c] [G ] [dip F] genrec
|
|
H == c swap [P] [pop] [G [F] dip ] [i] genrec
|
|
H == [P] [pop c] [ [G] dupdip ] [dip F] genrec
|
|
H == c swap [P] [pop] [ [F] dupdip G] [i] genrec
|
|
|
|
Consider:
|
|
|
|
::
|
|
|
|
... a G [H] dip F w/ a G == a' b
|
|
... c a G [F] dip H a G == b a'
|
|
... a [G] dupdip [H] dip F a G == a'
|
|
... c a [F] dupdip G H a G == a'
|
|
|
|
1
|
|
~
|
|
|
|
::
|
|
|
|
H == [P] [pop c] [G] [dip F] genrec
|
|
|
|
Iterate n times.
|
|
|
|
::
|
|
|
|
... a [P] [pop c] [G] [dip F] genrec
|
|
... a G [H] dip F
|
|
... a' b [H] dip F
|
|
... a' H b F
|
|
... a' G [H] dip F b F
|
|
... a'' b [H] dip F b F
|
|
... a'' H b F b F
|
|
... a'' G [H] dip F b F b F
|
|
... a''' b [H] dip F b F b F
|
|
... a''' H b F b F b F
|
|
... a''' pop c b F b F b F
|
|
... c b F b F b F
|
|
|
|
This form builds up a continuation that contains the intermediate
|
|
results along with the pending combiner functions. When the base case is
|
|
reached the last term is replaced by the identity value c and the
|
|
continuation "collapses" into the final result.
|
|
|
|
2
|
|
~
|
|
|
|
When you can start with the identity value c on the stack and the
|
|
combiner can operate as you go, using the intermediate results
|
|
immediately rather than queuing them up, use this form. An important
|
|
difference is that the generator function must return its results in the
|
|
reverse order.
|
|
|
|
::
|
|
|
|
H == c swap [P] [pop] [G [F] dip] primrec
|
|
|
|
... c a G [F] dip H
|
|
... c b a' [F] dip H
|
|
... c b F a' H
|
|
... c b F a' G [F] dip H
|
|
... c b F b a'' [F] dip H
|
|
... c b F b F a'' H
|
|
... c b F b F a'' G [F] dip H
|
|
... c b F b F b a''' [F] dip H
|
|
... c b F b F b F a''' H
|
|
... c b F b F b F a''' pop
|
|
... c b F b F b F
|
|
|
|
The end line here is the same as for above, but only because we didn't
|
|
evaluate ``F`` when it normally would have been.
|
|
|
|
3
|
|
~
|
|
|
|
If the combiner and the generator both need to work on the current value
|
|
then ``dup`` must be used at some point, and the generator must produce
|
|
one item instead of two (the b is instead the duplicate of a.)
|
|
|
|
::
|
|
|
|
H == [P] [pop c] [[G] dupdip] [dip F] genrec
|
|
|
|
... a [G] dupdip [H] dip F
|
|
... a G a [H] dip F
|
|
... a' a [H] dip F
|
|
... a' H a F
|
|
... a' [G] dupdip [H] dip F a F
|
|
... a' G a' [H] dip F a F
|
|
... a'' a' [H] dip F a F
|
|
... a'' H a' F a F
|
|
... a'' [G] dupdip [H] dip F a' F a F
|
|
... a'' G a'' [H] dip F a' F a F
|
|
... a''' a'' [H] dip F a' F a F
|
|
... a''' H a'' F a' F a F
|
|
... a''' pop c a'' F a' F a F
|
|
... c a'' F a' F a F
|
|
|
|
4
|
|
~
|
|
|
|
And, last but not least, if you can combine as you go, starting with c,
|
|
and the combiner needs to work on the current item, this is the form:
|
|
|
|
::
|
|
|
|
W == c swap [P] [pop] [[F] dupdip G] primrec
|
|
|
|
... a c swap [P] [pop] [[F] dupdip G] primrec
|
|
... c a [P] [pop] [[F] dupdip G] primrec
|
|
... c a [F] dupdip G W
|
|
... c a F a G W
|
|
... c a F a' W
|
|
... c a F a' [F] dupdip G W
|
|
... c a F a' F a' G W
|
|
... c a F a' F a'' W
|
|
... c a F a' F a'' [F] dupdip G W
|
|
... c a F a' F a'' F a'' G W
|
|
... c a F a' F a'' F a''' W
|
|
... c a F a' F a'' F a''' pop
|
|
... c a F a' F a'' F
|
|
|
|
Each of the four variations above can be specialized to ana- and
|
|
catamorphic forms.
|
|
|
|
.. code:: ipython2
|
|
|
|
def WTFmorphism(c, F, P, G):
|
|
'''Return a hylomorphism function H.'''
|
|
|
|
def H(a, d=c):
|
|
if P(a):
|
|
result = d
|
|
else:
|
|
a, b = G(a)
|
|
result = H(a, F(d, b))
|
|
return result
|
|
|
|
return H
|
|
|
|
.. code:: ipython2
|
|
|
|
F = lambda a, b: a + b
|
|
P = lambda n: n <= 1
|
|
G = lambda n: (n - 1, n - 1)
|
|
|
|
wtf = WTFmorphism(0, F, P, G)
|
|
|
|
print wtf(5)
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
10
|
|
|
|
|
|
::
|
|
|
|
H == [P ] [pop c ] [G ] [dip F ] genrec
|
|
|
|
.. code:: ipython2
|
|
|
|
DefinitionWrapper.add_definitions('''
|
|
P == 1 <=
|
|
Ga == -- dup
|
|
Gb == --
|
|
c == 0
|
|
F == +
|
|
''', D)
|
|
|
|
.. code:: ipython2
|
|
|
|
V('[1 2 3] [[] =] [pop []] [uncons swap] [dip swons] genrec')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
. [1 2 3] [[] =] [pop []] [uncons swap] [dip swons] genrec
|
|
[1 2 3] . [[] =] [pop []] [uncons swap] [dip swons] genrec
|
|
[1 2 3] [[] =] . [pop []] [uncons swap] [dip swons] genrec
|
|
[1 2 3] [[] =] [pop []] . [uncons swap] [dip swons] genrec
|
|
[1 2 3] [[] =] [pop []] [uncons swap] . [dip swons] genrec
|
|
[1 2 3] [[] =] [pop []] [uncons swap] [dip swons] . genrec
|
|
[1 2 3] [[] =] [pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] . ifte
|
|
[1 2 3] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [pop []] [[1 2 3]] [[] =] . infra first choice i
|
|
[1 2 3] . [] = [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [1 2 3]] swaack first choice i
|
|
[1 2 3] [] . = [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [1 2 3]] swaack first choice i
|
|
False . [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [1 2 3]] swaack first choice i
|
|
False [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [1 2 3]] . swaack first choice i
|
|
[1 2 3] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [pop []] [False] . first choice i
|
|
[1 2 3] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [pop []] False . choice i
|
|
[1 2 3] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] . i
|
|
[1 2 3] . uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons
|
|
1 [2 3] . swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons
|
|
[2 3] 1 . [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons
|
|
[2 3] 1 [[[] =] [pop []] [uncons swap] [dip swons] genrec] . dip swons
|
|
[2 3] . [[] =] [pop []] [uncons swap] [dip swons] genrec 1 swons
|
|
[2 3] [[] =] . [pop []] [uncons swap] [dip swons] genrec 1 swons
|
|
[2 3] [[] =] [pop []] . [uncons swap] [dip swons] genrec 1 swons
|
|
[2 3] [[] =] [pop []] [uncons swap] . [dip swons] genrec 1 swons
|
|
[2 3] [[] =] [pop []] [uncons swap] [dip swons] . genrec 1 swons
|
|
[2 3] [[] =] [pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] . ifte 1 swons
|
|
[2 3] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [pop []] [[2 3]] [[] =] . infra first choice i 1 swons
|
|
[2 3] . [] = [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [2 3]] swaack first choice i 1 swons
|
|
[2 3] [] . = [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [2 3]] swaack first choice i 1 swons
|
|
False . [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [2 3]] swaack first choice i 1 swons
|
|
False [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [2 3]] . swaack first choice i 1 swons
|
|
[2 3] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [pop []] [False] . first choice i 1 swons
|
|
[2 3] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [pop []] False . choice i 1 swons
|
|
[2 3] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] . i 1 swons
|
|
[2 3] . uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons 1 swons
|
|
2 [3] . swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons 1 swons
|
|
[3] 2 . [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons 1 swons
|
|
[3] 2 [[[] =] [pop []] [uncons swap] [dip swons] genrec] . dip swons 1 swons
|
|
[3] . [[] =] [pop []] [uncons swap] [dip swons] genrec 2 swons 1 swons
|
|
[3] [[] =] . [pop []] [uncons swap] [dip swons] genrec 2 swons 1 swons
|
|
[3] [[] =] [pop []] . [uncons swap] [dip swons] genrec 2 swons 1 swons
|
|
[3] [[] =] [pop []] [uncons swap] . [dip swons] genrec 2 swons 1 swons
|
|
[3] [[] =] [pop []] [uncons swap] [dip swons] . genrec 2 swons 1 swons
|
|
[3] [[] =] [pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] . ifte 2 swons 1 swons
|
|
[3] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [pop []] [[3]] [[] =] . infra first choice i 2 swons 1 swons
|
|
[3] . [] = [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [3]] swaack first choice i 2 swons 1 swons
|
|
[3] [] . = [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [3]] swaack first choice i 2 swons 1 swons
|
|
False . [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [3]] swaack first choice i 2 swons 1 swons
|
|
False [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [3]] . swaack first choice i 2 swons 1 swons
|
|
[3] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [pop []] [False] . first choice i 2 swons 1 swons
|
|
[3] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [pop []] False . choice i 2 swons 1 swons
|
|
[3] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] . i 2 swons 1 swons
|
|
[3] . uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons 2 swons 1 swons
|
|
3 [] . swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons 2 swons 1 swons
|
|
[] 3 . [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons 2 swons 1 swons
|
|
[] 3 [[[] =] [pop []] [uncons swap] [dip swons] genrec] . dip swons 2 swons 1 swons
|
|
[] . [[] =] [pop []] [uncons swap] [dip swons] genrec 3 swons 2 swons 1 swons
|
|
[] [[] =] . [pop []] [uncons swap] [dip swons] genrec 3 swons 2 swons 1 swons
|
|
[] [[] =] [pop []] . [uncons swap] [dip swons] genrec 3 swons 2 swons 1 swons
|
|
[] [[] =] [pop []] [uncons swap] . [dip swons] genrec 3 swons 2 swons 1 swons
|
|
[] [[] =] [pop []] [uncons swap] [dip swons] . genrec 3 swons 2 swons 1 swons
|
|
[] [[] =] [pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] . ifte 3 swons 2 swons 1 swons
|
|
[] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [pop []] [[]] [[] =] . infra first choice i 3 swons 2 swons 1 swons
|
|
[] . [] = [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] []] swaack first choice i 3 swons 2 swons 1 swons
|
|
[] [] . = [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] []] swaack first choice i 3 swons 2 swons 1 swons
|
|
True . [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] []] swaack first choice i 3 swons 2 swons 1 swons
|
|
True [[pop []] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] []] . swaack first choice i 3 swons 2 swons 1 swons
|
|
[] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [pop []] [True] . first choice i 3 swons 2 swons 1 swons
|
|
[] [uncons swap [[[] =] [pop []] [uncons swap] [dip swons] genrec] dip swons] [pop []] True . choice i 3 swons 2 swons 1 swons
|
|
[] [pop []] . i 3 swons 2 swons 1 swons
|
|
[] . pop [] 3 swons 2 swons 1 swons
|
|
. [] 3 swons 2 swons 1 swons
|
|
[] . 3 swons 2 swons 1 swons
|
|
[] 3 . swons 2 swons 1 swons
|
|
[] 3 . swap cons 2 swons 1 swons
|
|
3 [] . cons 2 swons 1 swons
|
|
[3] . 2 swons 1 swons
|
|
[3] 2 . swons 1 swons
|
|
[3] 2 . swap cons 1 swons
|
|
2 [3] . cons 1 swons
|
|
[2 3] . 1 swons
|
|
[2 3] 1 . swons
|
|
[2 3] 1 . swap cons
|
|
1 [2 3] . cons
|
|
[1 2 3] .
|
|
|
|
|
|
.. code:: ipython2
|
|
|
|
V('3 [P] [pop c] [Ga] [dip F] genrec')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
. 3 [P] [pop c] [Ga] [dip F] genrec
|
|
3 . [P] [pop c] [Ga] [dip F] genrec
|
|
3 [P] . [pop c] [Ga] [dip F] genrec
|
|
3 [P] [pop c] . [Ga] [dip F] genrec
|
|
3 [P] [pop c] [Ga] . [dip F] genrec
|
|
3 [P] [pop c] [Ga] [dip F] . genrec
|
|
3 [P] [pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] . ifte
|
|
3 [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] [pop c] [3] [P] . infra first choice i
|
|
3 . P [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 3] swaack first choice i
|
|
3 . 1 <= [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 3] swaack first choice i
|
|
3 1 . <= [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 3] swaack first choice i
|
|
False . [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 3] swaack first choice i
|
|
False [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 3] . swaack first choice i
|
|
3 [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] [pop c] [False] . first choice i
|
|
3 [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] [pop c] False . choice i
|
|
3 [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] . i
|
|
3 . Ga [[P] [pop c] [Ga] [dip F] genrec] dip F
|
|
3 . -- dup [[P] [pop c] [Ga] [dip F] genrec] dip F
|
|
2 . dup [[P] [pop c] [Ga] [dip F] genrec] dip F
|
|
2 2 . [[P] [pop c] [Ga] [dip F] genrec] dip F
|
|
2 2 [[P] [pop c] [Ga] [dip F] genrec] . dip F
|
|
2 . [P] [pop c] [Ga] [dip F] genrec 2 F
|
|
2 [P] . [pop c] [Ga] [dip F] genrec 2 F
|
|
2 [P] [pop c] . [Ga] [dip F] genrec 2 F
|
|
2 [P] [pop c] [Ga] . [dip F] genrec 2 F
|
|
2 [P] [pop c] [Ga] [dip F] . genrec 2 F
|
|
2 [P] [pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] . ifte 2 F
|
|
2 [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] [pop c] [2] [P] . infra first choice i 2 F
|
|
2 . P [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 2] swaack first choice i 2 F
|
|
2 . 1 <= [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 2] swaack first choice i 2 F
|
|
2 1 . <= [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 2] swaack first choice i 2 F
|
|
False . [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 2] swaack first choice i 2 F
|
|
False [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 2] . swaack first choice i 2 F
|
|
2 [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] [pop c] [False] . first choice i 2 F
|
|
2 [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] [pop c] False . choice i 2 F
|
|
2 [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] . i 2 F
|
|
2 . Ga [[P] [pop c] [Ga] [dip F] genrec] dip F 2 F
|
|
2 . -- dup [[P] [pop c] [Ga] [dip F] genrec] dip F 2 F
|
|
1 . dup [[P] [pop c] [Ga] [dip F] genrec] dip F 2 F
|
|
1 1 . [[P] [pop c] [Ga] [dip F] genrec] dip F 2 F
|
|
1 1 [[P] [pop c] [Ga] [dip F] genrec] . dip F 2 F
|
|
1 . [P] [pop c] [Ga] [dip F] genrec 1 F 2 F
|
|
1 [P] . [pop c] [Ga] [dip F] genrec 1 F 2 F
|
|
1 [P] [pop c] . [Ga] [dip F] genrec 1 F 2 F
|
|
1 [P] [pop c] [Ga] . [dip F] genrec 1 F 2 F
|
|
1 [P] [pop c] [Ga] [dip F] . genrec 1 F 2 F
|
|
1 [P] [pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] . ifte 1 F 2 F
|
|
1 [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] [pop c] [1] [P] . infra first choice i 1 F 2 F
|
|
1 . P [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 1] swaack first choice i 1 F 2 F
|
|
1 . 1 <= [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 1] swaack first choice i 1 F 2 F
|
|
1 1 . <= [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 1] swaack first choice i 1 F 2 F
|
|
True . [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 1] swaack first choice i 1 F 2 F
|
|
True [[pop c] [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] 1] . swaack first choice i 1 F 2 F
|
|
1 [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] [pop c] [True] . first choice i 1 F 2 F
|
|
1 [Ga [[P] [pop c] [Ga] [dip F] genrec] dip F] [pop c] True . choice i 1 F 2 F
|
|
1 [pop c] . i 1 F 2 F
|
|
1 . pop c 1 F 2 F
|
|
. c 1 F 2 F
|
|
. 0 1 F 2 F
|
|
0 . 1 F 2 F
|
|
0 1 . F 2 F
|
|
0 1 . + 2 F
|
|
1 . 2 F
|
|
1 2 . F
|
|
1 2 . +
|
|
3 .
|
|
|
|
|
|
.. code:: ipython2
|
|
|
|
V('3 [P] [pop []] [Ga] [dip swons] genrec')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
. 3 [P] [pop []] [Ga] [dip swons] genrec
|
|
3 . [P] [pop []] [Ga] [dip swons] genrec
|
|
3 [P] . [pop []] [Ga] [dip swons] genrec
|
|
3 [P] [pop []] . [Ga] [dip swons] genrec
|
|
3 [P] [pop []] [Ga] . [dip swons] genrec
|
|
3 [P] [pop []] [Ga] [dip swons] . genrec
|
|
3 [P] [pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] . ifte
|
|
3 [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] [pop []] [3] [P] . infra first choice i
|
|
3 . P [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 3] swaack first choice i
|
|
3 . 1 <= [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 3] swaack first choice i
|
|
3 1 . <= [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 3] swaack first choice i
|
|
False . [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 3] swaack first choice i
|
|
False [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 3] . swaack first choice i
|
|
3 [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] [pop []] [False] . first choice i
|
|
3 [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] [pop []] False . choice i
|
|
3 [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] . i
|
|
3 . Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons
|
|
3 . -- dup [[P] [pop []] [Ga] [dip swons] genrec] dip swons
|
|
2 . dup [[P] [pop []] [Ga] [dip swons] genrec] dip swons
|
|
2 2 . [[P] [pop []] [Ga] [dip swons] genrec] dip swons
|
|
2 2 [[P] [pop []] [Ga] [dip swons] genrec] . dip swons
|
|
2 . [P] [pop []] [Ga] [dip swons] genrec 2 swons
|
|
2 [P] . [pop []] [Ga] [dip swons] genrec 2 swons
|
|
2 [P] [pop []] . [Ga] [dip swons] genrec 2 swons
|
|
2 [P] [pop []] [Ga] . [dip swons] genrec 2 swons
|
|
2 [P] [pop []] [Ga] [dip swons] . genrec 2 swons
|
|
2 [P] [pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] . ifte 2 swons
|
|
2 [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] [pop []] [2] [P] . infra first choice i 2 swons
|
|
2 . P [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 2] swaack first choice i 2 swons
|
|
2 . 1 <= [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 2] swaack first choice i 2 swons
|
|
2 1 . <= [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 2] swaack first choice i 2 swons
|
|
False . [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 2] swaack first choice i 2 swons
|
|
False [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 2] . swaack first choice i 2 swons
|
|
2 [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] [pop []] [False] . first choice i 2 swons
|
|
2 [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] [pop []] False . choice i 2 swons
|
|
2 [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] . i 2 swons
|
|
2 . Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons 2 swons
|
|
2 . -- dup [[P] [pop []] [Ga] [dip swons] genrec] dip swons 2 swons
|
|
1 . dup [[P] [pop []] [Ga] [dip swons] genrec] dip swons 2 swons
|
|
1 1 . [[P] [pop []] [Ga] [dip swons] genrec] dip swons 2 swons
|
|
1 1 [[P] [pop []] [Ga] [dip swons] genrec] . dip swons 2 swons
|
|
1 . [P] [pop []] [Ga] [dip swons] genrec 1 swons 2 swons
|
|
1 [P] . [pop []] [Ga] [dip swons] genrec 1 swons 2 swons
|
|
1 [P] [pop []] . [Ga] [dip swons] genrec 1 swons 2 swons
|
|
1 [P] [pop []] [Ga] . [dip swons] genrec 1 swons 2 swons
|
|
1 [P] [pop []] [Ga] [dip swons] . genrec 1 swons 2 swons
|
|
1 [P] [pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] . ifte 1 swons 2 swons
|
|
1 [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] [pop []] [1] [P] . infra first choice i 1 swons 2 swons
|
|
1 . P [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 1] swaack first choice i 1 swons 2 swons
|
|
1 . 1 <= [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 1] swaack first choice i 1 swons 2 swons
|
|
1 1 . <= [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 1] swaack first choice i 1 swons 2 swons
|
|
True . [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 1] swaack first choice i 1 swons 2 swons
|
|
True [[pop []] [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] 1] . swaack first choice i 1 swons 2 swons
|
|
1 [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] [pop []] [True] . first choice i 1 swons 2 swons
|
|
1 [Ga [[P] [pop []] [Ga] [dip swons] genrec] dip swons] [pop []] True . choice i 1 swons 2 swons
|
|
1 [pop []] . i 1 swons 2 swons
|
|
1 . pop [] 1 swons 2 swons
|
|
. [] 1 swons 2 swons
|
|
[] . 1 swons 2 swons
|
|
[] 1 . swons 2 swons
|
|
[] 1 . swap cons 2 swons
|
|
1 [] . cons 2 swons
|
|
[1] . 2 swons
|
|
[1] 2 . swons
|
|
[1] 2 . swap cons
|
|
2 [1] . cons
|
|
[2 1] .
|
|
|
|
|
|
.. code:: ipython2
|
|
|
|
V('[2 1] [[] =] [pop c ] [uncons swap] [dip F] genrec')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
. [2 1] [[] =] [pop c] [uncons swap] [dip F] genrec
|
|
[2 1] . [[] =] [pop c] [uncons swap] [dip F] genrec
|
|
[2 1] [[] =] . [pop c] [uncons swap] [dip F] genrec
|
|
[2 1] [[] =] [pop c] . [uncons swap] [dip F] genrec
|
|
[2 1] [[] =] [pop c] [uncons swap] . [dip F] genrec
|
|
[2 1] [[] =] [pop c] [uncons swap] [dip F] . genrec
|
|
[2 1] [[] =] [pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] . ifte
|
|
[2 1] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [pop c] [[2 1]] [[] =] . infra first choice i
|
|
[2 1] . [] = [[pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [2 1]] swaack first choice i
|
|
[2 1] [] . = [[pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [2 1]] swaack first choice i
|
|
False . [[pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [2 1]] swaack first choice i
|
|
False [[pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [2 1]] . swaack first choice i
|
|
[2 1] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [pop c] [False] . first choice i
|
|
[2 1] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [pop c] False . choice i
|
|
[2 1] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] . i
|
|
[2 1] . uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F
|
|
2 [1] . swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F
|
|
[1] 2 . [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F
|
|
[1] 2 [[[] =] [pop c] [uncons swap] [dip F] genrec] . dip F
|
|
[1] . [[] =] [pop c] [uncons swap] [dip F] genrec 2 F
|
|
[1] [[] =] . [pop c] [uncons swap] [dip F] genrec 2 F
|
|
[1] [[] =] [pop c] . [uncons swap] [dip F] genrec 2 F
|
|
[1] [[] =] [pop c] [uncons swap] . [dip F] genrec 2 F
|
|
[1] [[] =] [pop c] [uncons swap] [dip F] . genrec 2 F
|
|
[1] [[] =] [pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] . ifte 2 F
|
|
[1] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [pop c] [[1]] [[] =] . infra first choice i 2 F
|
|
[1] . [] = [[pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [1]] swaack first choice i 2 F
|
|
[1] [] . = [[pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [1]] swaack first choice i 2 F
|
|
False . [[pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [1]] swaack first choice i 2 F
|
|
False [[pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [1]] . swaack first choice i 2 F
|
|
[1] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [pop c] [False] . first choice i 2 F
|
|
[1] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [pop c] False . choice i 2 F
|
|
[1] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] . i 2 F
|
|
[1] . uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F 2 F
|
|
1 [] . swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F 2 F
|
|
[] 1 . [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F 2 F
|
|
[] 1 [[[] =] [pop c] [uncons swap] [dip F] genrec] . dip F 2 F
|
|
[] . [[] =] [pop c] [uncons swap] [dip F] genrec 1 F 2 F
|
|
[] [[] =] . [pop c] [uncons swap] [dip F] genrec 1 F 2 F
|
|
[] [[] =] [pop c] . [uncons swap] [dip F] genrec 1 F 2 F
|
|
[] [[] =] [pop c] [uncons swap] . [dip F] genrec 1 F 2 F
|
|
[] [[] =] [pop c] [uncons swap] [dip F] . genrec 1 F 2 F
|
|
[] [[] =] [pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] . ifte 1 F 2 F
|
|
[] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [pop c] [[]] [[] =] . infra first choice i 1 F 2 F
|
|
[] . [] = [[pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] []] swaack first choice i 1 F 2 F
|
|
[] [] . = [[pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] []] swaack first choice i 1 F 2 F
|
|
True . [[pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] []] swaack first choice i 1 F 2 F
|
|
True [[pop c] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] []] . swaack first choice i 1 F 2 F
|
|
[] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [pop c] [True] . first choice i 1 F 2 F
|
|
[] [uncons swap [[[] =] [pop c] [uncons swap] [dip F] genrec] dip F] [pop c] True . choice i 1 F 2 F
|
|
[] [pop c] . i 1 F 2 F
|
|
[] . pop c 1 F 2 F
|
|
. c 1 F 2 F
|
|
. 0 1 F 2 F
|
|
0 . 1 F 2 F
|
|
0 1 . F 2 F
|
|
0 1 . + 2 F
|
|
1 . 2 F
|
|
1 2 . F
|
|
1 2 . +
|
|
3 .
|
|
|
|
|
|
Appendix - Fun with Symbols
|
|
---------------------------
|
|
|
|
::
|
|
|
|
|[ (c, F), (G, P) ]| == (|c, F|) • [(G, P)]
|
|
|
|
`"Bananas, Lenses, & Barbed
|
|
Wire" <http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.41.125>`__
|
|
|
|
::
|
|
|
|
(|...|) [(...)] [<...>]
|
|
|
|
I think they are having slightly too much fun with the symbols.
|
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"Too much is always better than not enough."
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Tree with node and list of trees.
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=================================
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::
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tree = [] | [node [tree*]]
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``treestep``
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~~~~~~~~~~~~
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::
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tree z [C] [N] treestep
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[] z [C] [N] treestep
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---------------------------
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z
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[node [tree*]] z [C] [N] treestep
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--------------------------------------- w/ K == z [C] [N] treestep
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node N [tree*] [K] map C
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Derive the recursive form.
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~~~~~~~~~~~~~~~~~~~~~~~~~~
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::
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K == [not] [pop z] [J] ifte
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[node [tree*]] J
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------------------------------
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node N [tree*] [K] map C
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J == .. [N] .. [K] .. [C] ..
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[node [tree*]] uncons [N] dip
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node [[tree*]] [N] dip
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node N [[tree*]]
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node N [[tree*]] i [K] map
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node N [tree*] [K] map
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node N [K.tree*]
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J == uncons [N] dip i [K] map [C] i
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K == [not] [pop z] [uncons [N] dip i [K] map [C] i] ifte
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K == [not] [pop z] [uncons [N] dip i] [map [C] i] genrec
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Extract the givens to parameterize the program.
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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::
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[not] [pop z] [uncons [N] dip unquote] [map [C] i] genrec
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[not] [z] [pop] swoncat [uncons [N] dip unquote] [map [C] i] genrec
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[not] z unit [pop] swoncat [uncons [N] dip unquote] [map [C] i] genrec
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z [not] swap unit [pop] swoncat [uncons [N] dip unquote] [map [C] i] genrec
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\............TS0............/
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z TS0 [uncons [N] dip unquote] [map [C] i] genrec
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z [uncons [N] dip unquote] [TS0] dip [map [C] i] genrec
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z [[N] dip unquote] [uncons] swoncat [TS0] dip [map [C] i] genrec
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z [N] [dip unquote] cons [uncons] swoncat [TS0] dip [map [C] i] genrec
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\...........TS1.................../
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z [N] TS1 [TS0] dip [map [C] i] genrec
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z [N] [map [C] i] [TS1 [TS0] dip] dip genrec
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z [N] [map C ] [TS1 [TS0] dip] dip genrec
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z [N] [C] [map] swoncat [TS1 [TS0] dip] dip genrec
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z [C] [N] swap [map] swoncat [TS1 [TS0] dip] dip genrec
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::
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TS0 == [not] swap unit [pop] swoncat
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TS1 == [dip i] cons [uncons] swoncat
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treestep == swap [map] swoncat [TS1 [TS0] dip] dip genrec
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::
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[] 0 [C] [N] treestep
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---------------------------
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0
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[n [tree*]] 0 [sum +] [] treestep
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--------------------------------------------------
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n [tree*] [0 [sum +] [] treestep] map sum +
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.. code:: ipython2
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DefinitionWrapper.add_definitions('''
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TS0 == [not] swap unit [pop] swoncat
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TS1 == [dip i] cons [uncons] swoncat
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treestep == swap [map] swoncat [TS1 [TS0] dip] dip genrec
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''', D)
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.. code:: ipython2
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V('[] 0 [sum +] [] treestep')
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.. parsed-literal::
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. [] 0 [sum +] [] treestep
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[] . 0 [sum +] [] treestep
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[] 0 . [sum +] [] treestep
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[] 0 [sum +] . [] treestep
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[] 0 [sum +] [] . treestep
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[] 0 [sum +] [] . swap [map] swoncat [TS1 [TS0] dip] dip genrec
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[] 0 [] [sum +] . [map] swoncat [TS1 [TS0] dip] dip genrec
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[] 0 [] [sum +] [map] . swoncat [TS1 [TS0] dip] dip genrec
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[] 0 [] [sum +] [map] . swap concat [TS1 [TS0] dip] dip genrec
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[] 0 [] [map] [sum +] . concat [TS1 [TS0] dip] dip genrec
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[] 0 [] [map sum +] . [TS1 [TS0] dip] dip genrec
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[] 0 [] [map sum +] [TS1 [TS0] dip] . dip genrec
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[] 0 [] . TS1 [TS0] dip [map sum +] genrec
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[] 0 [] . [dip i] cons [uncons] swoncat [TS0] dip [map sum +] genrec
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[] 0 [] [dip i] . cons [uncons] swoncat [TS0] dip [map sum +] genrec
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[] 0 [[] dip i] . [uncons] swoncat [TS0] dip [map sum +] genrec
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[] 0 [[] dip i] [uncons] . swoncat [TS0] dip [map sum +] genrec
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[] 0 [[] dip i] [uncons] . swap concat [TS0] dip [map sum +] genrec
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[] 0 [uncons] [[] dip i] . concat [TS0] dip [map sum +] genrec
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[] 0 [uncons [] dip i] . [TS0] dip [map sum +] genrec
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[] 0 [uncons [] dip i] [TS0] . dip [map sum +] genrec
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[] 0 . TS0 [uncons [] dip i] [map sum +] genrec
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[] 0 . [not] swap unit [pop] swoncat [uncons [] dip i] [map sum +] genrec
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[] 0 [not] . swap unit [pop] swoncat [uncons [] dip i] [map sum +] genrec
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[] [not] 0 . unit [pop] swoncat [uncons [] dip i] [map sum +] genrec
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[] [not] 0 . [] cons [pop] swoncat [uncons [] dip i] [map sum +] genrec
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[] [not] 0 [] . cons [pop] swoncat [uncons [] dip i] [map sum +] genrec
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[] [not] [0] . [pop] swoncat [uncons [] dip i] [map sum +] genrec
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[] [not] [0] [pop] . swoncat [uncons [] dip i] [map sum +] genrec
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[] [not] [0] [pop] . swap concat [uncons [] dip i] [map sum +] genrec
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[] [not] [pop] [0] . concat [uncons [] dip i] [map sum +] genrec
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[] [not] [pop 0] . [uncons [] dip i] [map sum +] genrec
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[] [not] [pop 0] [uncons [] dip i] . [map sum +] genrec
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[] [not] [pop 0] [uncons [] dip i] [map sum +] . genrec
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[] [not] [pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] . ifte
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[] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] [[]] [not] . infra first choice i
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[] . not [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] []] swaack first choice i
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True . [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] []] swaack first choice i
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True [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] []] . swaack first choice i
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[] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] [True] . first choice i
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[] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] True . choice i
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[] [pop 0] . i
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[] . pop 0
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. 0
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0 .
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.. code:: ipython2
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V('[23 []] 0 [sum +] [] treestep')
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.. parsed-literal::
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. [23 []] 0 [sum +] [] treestep
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[23 []] . 0 [sum +] [] treestep
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[23 []] 0 . [sum +] [] treestep
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[23 []] 0 [sum +] . [] treestep
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[23 []] 0 [sum +] [] . treestep
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[23 []] 0 [sum +] [] . swap [map] swoncat [TS1 [TS0] dip] dip genrec
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[23 []] 0 [] [sum +] . [map] swoncat [TS1 [TS0] dip] dip genrec
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[23 []] 0 [] [sum +] [map] . swoncat [TS1 [TS0] dip] dip genrec
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[23 []] 0 [] [sum +] [map] . swap concat [TS1 [TS0] dip] dip genrec
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[23 []] 0 [] [map] [sum +] . concat [TS1 [TS0] dip] dip genrec
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[23 []] 0 [] [map sum +] . [TS1 [TS0] dip] dip genrec
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[23 []] 0 [] [map sum +] [TS1 [TS0] dip] . dip genrec
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[23 []] 0 [] . TS1 [TS0] dip [map sum +] genrec
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[23 []] 0 [] . [dip i] cons [uncons] swoncat [TS0] dip [map sum +] genrec
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[23 []] 0 [] [dip i] . cons [uncons] swoncat [TS0] dip [map sum +] genrec
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[23 []] 0 [[] dip i] . [uncons] swoncat [TS0] dip [map sum +] genrec
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[23 []] 0 [[] dip i] [uncons] . swoncat [TS0] dip [map sum +] genrec
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[23 []] 0 [[] dip i] [uncons] . swap concat [TS0] dip [map sum +] genrec
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[23 []] 0 [uncons] [[] dip i] . concat [TS0] dip [map sum +] genrec
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[23 []] 0 [uncons [] dip i] . [TS0] dip [map sum +] genrec
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[23 []] 0 [uncons [] dip i] [TS0] . dip [map sum +] genrec
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[23 []] 0 . TS0 [uncons [] dip i] [map sum +] genrec
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[23 []] 0 . [not] swap unit [pop] swoncat [uncons [] dip i] [map sum +] genrec
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[23 []] 0 [not] . swap unit [pop] swoncat [uncons [] dip i] [map sum +] genrec
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[23 []] [not] 0 . unit [pop] swoncat [uncons [] dip i] [map sum +] genrec
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[23 []] [not] 0 . [] cons [pop] swoncat [uncons [] dip i] [map sum +] genrec
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[23 []] [not] 0 [] . cons [pop] swoncat [uncons [] dip i] [map sum +] genrec
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[23 []] [not] [0] . [pop] swoncat [uncons [] dip i] [map sum +] genrec
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[23 []] [not] [0] [pop] . swoncat [uncons [] dip i] [map sum +] genrec
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[23 []] [not] [0] [pop] . swap concat [uncons [] dip i] [map sum +] genrec
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[23 []] [not] [pop] [0] . concat [uncons [] dip i] [map sum +] genrec
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[23 []] [not] [pop 0] . [uncons [] dip i] [map sum +] genrec
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[23 []] [not] [pop 0] [uncons [] dip i] . [map sum +] genrec
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[23 []] [not] [pop 0] [uncons [] dip i] [map sum +] . genrec
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[23 []] [not] [pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] . ifte
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[23 []] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] [[23 []]] [not] . infra first choice i
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[23 []] . not [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [23 []]] swaack first choice i
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False . [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [23 []]] swaack first choice i
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False [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [23 []]] . swaack first choice i
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[23 []] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] [False] . first choice i
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[23 []] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] False . choice i
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[23 []] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] . i
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[23 []] . uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 [[]] . [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 [[]] [] . dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 . [[]] i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 [[]] . i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 . [] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 [] . [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 [] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] . map sum +
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23 [] . sum +
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23 [] . 0 [+] catamorphism +
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23 [] 0 . [+] catamorphism +
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23 [] 0 [+] . catamorphism +
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23 [] 0 [+] . [[] =] roll> [uncons swap] swap hylomorphism +
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23 [] 0 [+] [[] =] . roll> [uncons swap] swap hylomorphism +
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23 [] [[] =] 0 [+] . [uncons swap] swap hylomorphism +
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23 [] [[] =] 0 [+] [uncons swap] . swap hylomorphism +
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23 [] [[] =] 0 [uncons swap] [+] . hylomorphism +
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23 [] [[] =] 0 [uncons swap] [+] . [unit [pop] swoncat] dipd [dip] swoncat genrec +
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23 [] [[] =] 0 [uncons swap] [+] [unit [pop] swoncat] . dipd [dip] swoncat genrec +
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23 [] [[] =] 0 . unit [pop] swoncat [uncons swap] [+] [dip] swoncat genrec +
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23 [] [[] =] 0 . [] cons [pop] swoncat [uncons swap] [+] [dip] swoncat genrec +
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23 [] [[] =] 0 [] . cons [pop] swoncat [uncons swap] [+] [dip] swoncat genrec +
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23 [] [[] =] [0] . [pop] swoncat [uncons swap] [+] [dip] swoncat genrec +
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23 [] [[] =] [0] [pop] . swoncat [uncons swap] [+] [dip] swoncat genrec +
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23 [] [[] =] [0] [pop] . swap concat [uncons swap] [+] [dip] swoncat genrec +
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23 [] [[] =] [pop] [0] . concat [uncons swap] [+] [dip] swoncat genrec +
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23 [] [[] =] [pop 0] . [uncons swap] [+] [dip] swoncat genrec +
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23 [] [[] =] [pop 0] [uncons swap] . [+] [dip] swoncat genrec +
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23 [] [[] =] [pop 0] [uncons swap] [+] . [dip] swoncat genrec +
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23 [] [[] =] [pop 0] [uncons swap] [+] [dip] . swoncat genrec +
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23 [] [[] =] [pop 0] [uncons swap] [+] [dip] . swap concat genrec +
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23 [] [[] =] [pop 0] [uncons swap] [dip] [+] . concat genrec +
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23 [] [[] =] [pop 0] [uncons swap] [dip +] . genrec +
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23 [] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte +
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23 [] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[] 23] [[] =] . infra first choice i +
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23 [] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 23] swaack first choice i +
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23 [] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 23] swaack first choice i +
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23 True . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 23] swaack first choice i +
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23 True [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 23] . swaack first choice i +
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23 [] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [True 23] . first choice i +
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23 [] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] True . choice i +
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23 [] [pop 0] . i +
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23 [] . pop 0 +
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23 . 0 +
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23 0 . +
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23 .
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.. code:: ipython2
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V('[23 [[2 []] [3 []]]] 0 [sum +] [] treestep')
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.. parsed-literal::
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. [23 [[2 []] [3 []]]] 0 [sum +] [] treestep
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[23 [[2 []] [3 []]]] . 0 [sum +] [] treestep
|
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[23 [[2 []] [3 []]]] 0 . [sum +] [] treestep
|
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[23 [[2 []] [3 []]]] 0 [sum +] . [] treestep
|
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[23 [[2 []] [3 []]]] 0 [sum +] [] . treestep
|
|
[23 [[2 []] [3 []]]] 0 [sum +] [] . swap [map] swoncat [TS1 [TS0] dip] dip genrec
|
|
[23 [[2 []] [3 []]]] 0 [] [sum +] . [map] swoncat [TS1 [TS0] dip] dip genrec
|
|
[23 [[2 []] [3 []]]] 0 [] [sum +] [map] . swoncat [TS1 [TS0] dip] dip genrec
|
|
[23 [[2 []] [3 []]]] 0 [] [sum +] [map] . swap concat [TS1 [TS0] dip] dip genrec
|
|
[23 [[2 []] [3 []]]] 0 [] [map] [sum +] . concat [TS1 [TS0] dip] dip genrec
|
|
[23 [[2 []] [3 []]]] 0 [] [map sum +] . [TS1 [TS0] dip] dip genrec
|
|
[23 [[2 []] [3 []]]] 0 [] [map sum +] [TS1 [TS0] dip] . dip genrec
|
|
[23 [[2 []] [3 []]]] 0 [] . TS1 [TS0] dip [map sum +] genrec
|
|
[23 [[2 []] [3 []]]] 0 [] . [dip i] cons [uncons] swoncat [TS0] dip [map sum +] genrec
|
|
[23 [[2 []] [3 []]]] 0 [] [dip i] . cons [uncons] swoncat [TS0] dip [map sum +] genrec
|
|
[23 [[2 []] [3 []]]] 0 [[] dip i] . [uncons] swoncat [TS0] dip [map sum +] genrec
|
|
[23 [[2 []] [3 []]]] 0 [[] dip i] [uncons] . swoncat [TS0] dip [map sum +] genrec
|
|
[23 [[2 []] [3 []]]] 0 [[] dip i] [uncons] . swap concat [TS0] dip [map sum +] genrec
|
|
[23 [[2 []] [3 []]]] 0 [uncons] [[] dip i] . concat [TS0] dip [map sum +] genrec
|
|
[23 [[2 []] [3 []]]] 0 [uncons [] dip i] . [TS0] dip [map sum +] genrec
|
|
[23 [[2 []] [3 []]]] 0 [uncons [] dip i] [TS0] . dip [map sum +] genrec
|
|
[23 [[2 []] [3 []]]] 0 . TS0 [uncons [] dip i] [map sum +] genrec
|
|
[23 [[2 []] [3 []]]] 0 . [not] swap unit [pop] swoncat [uncons [] dip i] [map sum +] genrec
|
|
[23 [[2 []] [3 []]]] 0 [not] . swap unit [pop] swoncat [uncons [] dip i] [map sum +] genrec
|
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[23 [[2 []] [3 []]]] [not] 0 . unit [pop] swoncat [uncons [] dip i] [map sum +] genrec
|
|
[23 [[2 []] [3 []]]] [not] 0 . [] cons [pop] swoncat [uncons [] dip i] [map sum +] genrec
|
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[23 [[2 []] [3 []]]] [not] 0 [] . cons [pop] swoncat [uncons [] dip i] [map sum +] genrec
|
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[23 [[2 []] [3 []]]] [not] [0] . [pop] swoncat [uncons [] dip i] [map sum +] genrec
|
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[23 [[2 []] [3 []]]] [not] [0] [pop] . swoncat [uncons [] dip i] [map sum +] genrec
|
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[23 [[2 []] [3 []]]] [not] [0] [pop] . swap concat [uncons [] dip i] [map sum +] genrec
|
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[23 [[2 []] [3 []]]] [not] [pop] [0] . concat [uncons [] dip i] [map sum +] genrec
|
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[23 [[2 []] [3 []]]] [not] [pop 0] . [uncons [] dip i] [map sum +] genrec
|
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[23 [[2 []] [3 []]]] [not] [pop 0] [uncons [] dip i] . [map sum +] genrec
|
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[23 [[2 []] [3 []]]] [not] [pop 0] [uncons [] dip i] [map sum +] . genrec
|
|
[23 [[2 []] [3 []]]] [not] [pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] . ifte
|
|
[23 [[2 []] [3 []]]] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] [[23 [[2 []] [3 []]]]] [not] . infra first choice i
|
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[23 [[2 []] [3 []]]] . not [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [23 [[2 []] [3 []]]]] swaack first choice i
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False . [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [23 [[2 []] [3 []]]]] swaack first choice i
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False [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [23 [[2 []] [3 []]]]] . swaack first choice i
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[23 [[2 []] [3 []]]] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] [False] . first choice i
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[23 [[2 []] [3 []]]] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] False . choice i
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[23 [[2 []] [3 []]]] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] . i
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[23 [[2 []] [3 []]]] . uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 [[[2 []] [3 []]]] . [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 [[[2 []] [3 []]]] [] . dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 . [[[2 []] [3 []]]] i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 [[[2 []] [3 []]]] . i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 . [[2 []] [3 []]] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 [[2 []] [3 []]] . [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +
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23 [[2 []] [3 []]] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] . map sum +
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23 [] [[[3 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first] . infra sum +
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. [[3 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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[[3 []] 23] . [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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[[3 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] . infra first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 [3 []] . [not] [pop 0] [uncons [] dip i] [map sum +] genrec [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 [3 []] [not] . [pop 0] [uncons [] dip i] [map sum +] genrec [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 [3 []] [not] [pop 0] . [uncons [] dip i] [map sum +] genrec [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 [3 []] [not] [pop 0] [uncons [] dip i] . [map sum +] genrec [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 [3 []] [not] [pop 0] [uncons [] dip i] [map sum +] . genrec [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 [3 []] [not] [pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] . ifte [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 [3 []] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] [[3 []] 23] [not] . infra first choice i [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 [3 []] . not [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [3 []] 23] swaack first choice i [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 False . [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [3 []] 23] swaack first choice i [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 False [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [3 []] 23] . swaack first choice i [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 [3 []] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] [False 23] . first choice i [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 [3 []] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] False . choice i [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 [3 []] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] . i [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 [3 []] . uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [[]] . [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [[]] [] . dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 . [[]] i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [[]] . i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 . [] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] . [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] . map sum + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] . sum + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] . 0 [+] catamorphism + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] 0 . [+] catamorphism + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] 0 [+] . catamorphism + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] 0 [+] . [[] =] roll> [uncons swap] swap hylomorphism + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] 0 [+] [[] =] . roll> [uncons swap] swap hylomorphism + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] 0 [+] . [uncons swap] swap hylomorphism + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] 0 [+] [uncons swap] . swap hylomorphism + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] 0 [uncons swap] [+] . hylomorphism + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] 0 [uncons swap] [+] . [unit [pop] swoncat] dipd [dip] swoncat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] 0 [uncons swap] [+] [unit [pop] swoncat] . dipd [dip] swoncat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] 0 . unit [pop] swoncat [uncons swap] [+] [dip] swoncat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] 0 . [] cons [pop] swoncat [uncons swap] [+] [dip] swoncat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] 0 [] . cons [pop] swoncat [uncons swap] [+] [dip] swoncat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] [0] . [pop] swoncat [uncons swap] [+] [dip] swoncat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] [0] [pop] . swoncat [uncons swap] [+] [dip] swoncat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] [0] [pop] . swap concat [uncons swap] [+] [dip] swoncat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] [pop] [0] . concat [uncons swap] [+] [dip] swoncat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] [pop 0] . [uncons swap] [+] [dip] swoncat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] [pop 0] [uncons swap] . [+] [dip] swoncat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] [pop 0] [uncons swap] [+] . [dip] swoncat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] [pop 0] [uncons swap] [+] [dip] . swoncat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] [pop 0] [uncons swap] [+] [dip] . swap concat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] [pop 0] [uncons swap] [dip] [+] . concat genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] [pop 0] [uncons swap] [dip +] . genrec + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[] 3 23] [[] =] . infra first choice i + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 3 23] swaack first choice i + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 3 23] swaack first choice i + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 True . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 3 23] swaack first choice i + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 True [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 3 23] . swaack first choice i + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [True 3 23] . first choice i + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] True . choice i + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] [pop 0] . i + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] . pop 0 + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 . 0 + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 0 . + [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 . [] swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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23 3 [] . swaack first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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[3 23] . first [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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3 . [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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3 [[2 []] 23] . [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] infra first [23] swaack sum +
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3 [[2 []] 23] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] . infra first [23] swaack sum +
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23 [2 []] . [not] [pop 0] [uncons [] dip i] [map sum +] genrec [3] swaack first [23] swaack sum +
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23 [2 []] [not] . [pop 0] [uncons [] dip i] [map sum +] genrec [3] swaack first [23] swaack sum +
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23 [2 []] [not] [pop 0] . [uncons [] dip i] [map sum +] genrec [3] swaack first [23] swaack sum +
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23 [2 []] [not] [pop 0] [uncons [] dip i] . [map sum +] genrec [3] swaack first [23] swaack sum +
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23 [2 []] [not] [pop 0] [uncons [] dip i] [map sum +] . genrec [3] swaack first [23] swaack sum +
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23 [2 []] [not] [pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] . ifte [3] swaack first [23] swaack sum +
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23 [2 []] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] [[2 []] 23] [not] . infra first choice i [3] swaack first [23] swaack sum +
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23 [2 []] . not [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [2 []] 23] swaack first choice i [3] swaack first [23] swaack sum +
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23 False . [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [2 []] 23] swaack first choice i [3] swaack first [23] swaack sum +
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23 False [[pop 0] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [2 []] 23] . swaack first choice i [3] swaack first [23] swaack sum +
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23 [2 []] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] [False 23] . first choice i [3] swaack first [23] swaack sum +
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23 [2 []] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] [pop 0] False . choice i [3] swaack first [23] swaack sum +
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23 [2 []] [uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum +] . i [3] swaack first [23] swaack sum +
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23 [2 []] . uncons [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [3] swaack first [23] swaack sum +
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23 2 [[]] . [] dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [3] swaack first [23] swaack sum +
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23 2 [[]] [] . dip i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [3] swaack first [23] swaack sum +
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23 2 . [[]] i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [3] swaack first [23] swaack sum +
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23 2 [[]] . i [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [3] swaack first [23] swaack sum +
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23 2 . [] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [3] swaack first [23] swaack sum +
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23 2 [] . [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] map sum + [3] swaack first [23] swaack sum +
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23 2 [] [[not] [pop 0] [uncons [] dip i] [map sum +] genrec] . map sum + [3] swaack first [23] swaack sum +
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23 2 [] . sum + [3] swaack first [23] swaack sum +
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23 2 [] . 0 [+] catamorphism + [3] swaack first [23] swaack sum +
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23 2 [] 0 . [+] catamorphism + [3] swaack first [23] swaack sum +
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23 2 [] 0 [+] . catamorphism + [3] swaack first [23] swaack sum +
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23 2 [] 0 [+] . [[] =] roll> [uncons swap] swap hylomorphism + [3] swaack first [23] swaack sum +
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23 2 [] 0 [+] [[] =] . roll> [uncons swap] swap hylomorphism + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] 0 [+] . [uncons swap] swap hylomorphism + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] 0 [+] [uncons swap] . swap hylomorphism + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] 0 [uncons swap] [+] . hylomorphism + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] 0 [uncons swap] [+] . [unit [pop] swoncat] dipd [dip] swoncat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] 0 [uncons swap] [+] [unit [pop] swoncat] . dipd [dip] swoncat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] 0 . unit [pop] swoncat [uncons swap] [+] [dip] swoncat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] 0 . [] cons [pop] swoncat [uncons swap] [+] [dip] swoncat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] 0 [] . cons [pop] swoncat [uncons swap] [+] [dip] swoncat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] [0] . [pop] swoncat [uncons swap] [+] [dip] swoncat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] [0] [pop] . swoncat [uncons swap] [+] [dip] swoncat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] [0] [pop] . swap concat [uncons swap] [+] [dip] swoncat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] [pop] [0] . concat [uncons swap] [+] [dip] swoncat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] [pop 0] . [uncons swap] [+] [dip] swoncat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] [pop 0] [uncons swap] . [+] [dip] swoncat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] [pop 0] [uncons swap] [+] . [dip] swoncat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] [pop 0] [uncons swap] [+] [dip] . swoncat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] [pop 0] [uncons swap] [+] [dip] . swap concat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] [pop 0] [uncons swap] [dip] [+] . concat genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] [pop 0] [uncons swap] [dip +] . genrec + [3] swaack first [23] swaack sum +
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23 2 [] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte + [3] swaack first [23] swaack sum +
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23 2 [] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[] 2 23] [[] =] . infra first choice i + [3] swaack first [23] swaack sum +
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23 2 [] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 2 23] swaack first choice i + [3] swaack first [23] swaack sum +
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23 2 [] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 2 23] swaack first choice i + [3] swaack first [23] swaack sum +
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23 2 True . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 2 23] swaack first choice i + [3] swaack first [23] swaack sum +
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23 2 True [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 2 23] . swaack first choice i + [3] swaack first [23] swaack sum +
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23 2 [] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [True 2 23] . first choice i + [3] swaack first [23] swaack sum +
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23 2 [] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] True . choice i + [3] swaack first [23] swaack sum +
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23 2 [] [pop 0] . i + [3] swaack first [23] swaack sum +
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23 2 [] . pop 0 + [3] swaack first [23] swaack sum +
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23 2 . 0 + [3] swaack first [23] swaack sum +
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23 2 0 . + [3] swaack first [23] swaack sum +
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23 2 . [3] swaack first [23] swaack sum +
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23 2 [3] . swaack first [23] swaack sum +
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3 [2 23] . first [23] swaack sum +
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3 2 . [23] swaack sum +
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3 2 [23] . swaack sum +
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23 [2 3] . sum +
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23 [2 3] . 0 [+] catamorphism +
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23 [2 3] 0 . [+] catamorphism +
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23 [2 3] 0 [+] . catamorphism +
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23 [2 3] 0 [+] . [[] =] roll> [uncons swap] swap hylomorphism +
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23 [2 3] 0 [+] [[] =] . roll> [uncons swap] swap hylomorphism +
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23 [2 3] [[] =] 0 [+] . [uncons swap] swap hylomorphism +
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23 [2 3] [[] =] 0 [+] [uncons swap] . swap hylomorphism +
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23 [2 3] [[] =] 0 [uncons swap] [+] . hylomorphism +
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23 [2 3] [[] =] 0 [uncons swap] [+] . [unit [pop] swoncat] dipd [dip] swoncat genrec +
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23 [2 3] [[] =] 0 [uncons swap] [+] [unit [pop] swoncat] . dipd [dip] swoncat genrec +
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23 [2 3] [[] =] 0 . unit [pop] swoncat [uncons swap] [+] [dip] swoncat genrec +
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23 [2 3] [[] =] 0 . [] cons [pop] swoncat [uncons swap] [+] [dip] swoncat genrec +
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23 [2 3] [[] =] 0 [] . cons [pop] swoncat [uncons swap] [+] [dip] swoncat genrec +
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23 [2 3] [[] =] [0] . [pop] swoncat [uncons swap] [+] [dip] swoncat genrec +
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23 [2 3] [[] =] [0] [pop] . swoncat [uncons swap] [+] [dip] swoncat genrec +
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23 [2 3] [[] =] [0] [pop] . swap concat [uncons swap] [+] [dip] swoncat genrec +
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23 [2 3] [[] =] [pop] [0] . concat [uncons swap] [+] [dip] swoncat genrec +
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23 [2 3] [[] =] [pop 0] . [uncons swap] [+] [dip] swoncat genrec +
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23 [2 3] [[] =] [pop 0] [uncons swap] . [+] [dip] swoncat genrec +
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23 [2 3] [[] =] [pop 0] [uncons swap] [+] . [dip] swoncat genrec +
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23 [2 3] [[] =] [pop 0] [uncons swap] [+] [dip] . swoncat genrec +
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23 [2 3] [[] =] [pop 0] [uncons swap] [+] [dip] . swap concat genrec +
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23 [2 3] [[] =] [pop 0] [uncons swap] [dip] [+] . concat genrec +
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23 [2 3] [[] =] [pop 0] [uncons swap] [dip +] . genrec +
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23 [2 3] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte +
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23 [2 3] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[2 3] 23] [[] =] . infra first choice i +
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23 [2 3] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [2 3] 23] swaack first choice i +
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23 [2 3] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [2 3] 23] swaack first choice i +
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23 False . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [2 3] 23] swaack first choice i +
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23 False [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [2 3] 23] . swaack first choice i +
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23 [2 3] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [False 23] . first choice i +
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23 [2 3] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] False . choice i +
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23 [2 3] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . i +
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23 [2 3] . uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + +
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23 2 [3] . swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + +
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23 [3] 2 . [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + +
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23 [3] 2 [[[] =] [pop 0] [uncons swap] [dip +] genrec] . dip + +
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23 [3] . [[] =] [pop 0] [uncons swap] [dip +] genrec 2 + +
|
|
23 [3] [[] =] . [pop 0] [uncons swap] [dip +] genrec 2 + +
|
|
23 [3] [[] =] [pop 0] . [uncons swap] [dip +] genrec 2 + +
|
|
23 [3] [[] =] [pop 0] [uncons swap] . [dip +] genrec 2 + +
|
|
23 [3] [[] =] [pop 0] [uncons swap] [dip +] . genrec 2 + +
|
|
23 [3] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte 2 + +
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23 [3] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[3] 23] [[] =] . infra first choice i 2 + +
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23 [3] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [3] 23] swaack first choice i 2 + +
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23 [3] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [3] 23] swaack first choice i 2 + +
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23 False . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [3] 23] swaack first choice i 2 + +
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23 False [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [3] 23] . swaack first choice i 2 + +
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|
23 [3] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [False 23] . first choice i 2 + +
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|
23 [3] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] False . choice i 2 + +
|
|
23 [3] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . i 2 + +
|
|
23 [3] . uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 2 + +
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|
23 3 [] . swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 2 + +
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23 [] 3 . [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip + 2 + +
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23 [] 3 [[[] =] [pop 0] [uncons swap] [dip +] genrec] . dip + 2 + +
|
|
23 [] . [[] =] [pop 0] [uncons swap] [dip +] genrec 3 + 2 + +
|
|
23 [] [[] =] . [pop 0] [uncons swap] [dip +] genrec 3 + 2 + +
|
|
23 [] [[] =] [pop 0] . [uncons swap] [dip +] genrec 3 + 2 + +
|
|
23 [] [[] =] [pop 0] [uncons swap] . [dip +] genrec 3 + 2 + +
|
|
23 [] [[] =] [pop 0] [uncons swap] [dip +] . genrec 3 + 2 + +
|
|
23 [] [[] =] [pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] . ifte 3 + 2 + +
|
|
23 [] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [[] 23] [[] =] . infra first choice i 3 + 2 + +
|
|
23 [] . [] = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 23] swaack first choice i 3 + 2 + +
|
|
23 [] [] . = [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 23] swaack first choice i 3 + 2 + +
|
|
23 True . [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 23] swaack first choice i 3 + 2 + +
|
|
23 True [[pop 0] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [] 23] . swaack first choice i 3 + 2 + +
|
|
23 [] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] [True 23] . first choice i 3 + 2 + +
|
|
23 [] [uncons swap [[[] =] [pop 0] [uncons swap] [dip +] genrec] dip +] [pop 0] True . choice i 3 + 2 + +
|
|
23 [] [pop 0] . i 3 + 2 + +
|
|
23 [] . pop 0 3 + 2 + +
|
|
23 . 0 3 + 2 + +
|
|
23 0 . 3 + 2 + +
|
|
23 0 3 . + 2 + +
|
|
23 3 . 2 + +
|
|
23 3 2 . + +
|
|
23 5 . +
|
|
28 .
|
|
|
|
|
|
.. code:: ipython2
|
|
|
|
J('[23 [[2 [[23 [[2 []] [3 []]]][23 [[2 []] [3 []]]]]] [3 [[23 [[2 []] [3 []]]][23 [[2 []] [3 []]]]]]]] 0 [sum +] [] treestep')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
140
|
|
|
|
|
|
.. code:: ipython2
|
|
|
|
J('[] [] [unit cons] [23 +] treestep')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
[]
|
|
|
|
|
|
.. code:: ipython2
|
|
|
|
J('[23 []] [] [unit cons] [23 +] treestep')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
[46 []]
|
|
|
|
|
|
.. code:: ipython2
|
|
|
|
J('[23 [[2 []] [3 []]]] [] [unit cons] [23 +] treestep')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
[46 [[25 []] [26 []]]]
|
|
|
|
|
|
.. code:: ipython2
|
|
|
|
define('treemap == [] [unit cons] roll< treestep')
|
|
|
|
.. code:: ipython2
|
|
|
|
J('[23 [[2 []] [3 []]]] [23 +] treemap')
|
|
|
|
|
|
.. parsed-literal::
|
|
|
|
[46 [[25 []] [26 []]]]
|
|
|