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Notebook[{
Cell["\<\
Supply chain game.  There are 2 suppliers in sequence feeding into a consumer \
with value v.  They both bid to produce their components and if their bids \
sum to less than v, they both get what they bid.  If it's more than v, they \
both get nothing.  This is isomorphic to a standard bargaining problem where \
the buyer and seller each say a price and if they overlap, they transact and \
get whatever surplus, and if they don't overlap, they both get nothing.\
\>", "Text"],

Cell[CellGroupData[{

Cell["Libraries and Constants and stuff", "Section"],

Cell[BoxData[
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          Join[$Path, {Environment["\<HOME\>"] <> "\</lib/\>", 
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\[IndentingNewLine]"\<windows\>", $Path = 
          Join[$Path, {"\<E:\\lib\\\>", "\<E:\\equilibria\\\>"}], \
\[IndentingNewLine]"\<home\>", $Path = 
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
    \(\(\( (*\ 
      Supply\ chain\ game\ with\ 2\ suppliers\ in\ sequence ... \ *) \)\(\
\[IndentingNewLine]\)\(payoff[myCost_, myBid_, otherBids_List] := 
      If[myBid + Plus @@ otherBids \[LessEqual] v, myBid - myCost, 
        0]\)\)\)], "Input"],

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    \(minAction[myCost_:  0] := 
      First[bidRange[myCost]]\), "\[IndentingNewLine]", 
    \(maxAction[myCost_:  0] := Last[bidRange[myCost]]\)}], "Input"],

Cell[BoxData[{
    \(\(paperStrategy[v_]\)[c_] := 
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        3/4*c + v/4]\), "\[IndentingNewLine]", 
    \(\(fixedPriceStrategy[p_, v_]\)[c_] := 
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        p \[LessEqual] c \[LessEqual] 1, v]\), "\[IndentingNewLine]", 
    \(\(linearStrategy[v_]\)[c_] := 
      Which[0 \[LessEqual] c \[LessEqual] 1, 
        c/2 + v/3]\), "\[IndentingNewLine]", 
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      Which[0 \[LessEqual] c \[LessEqual] 2/3*v - 1, 2/3*v - 1/2, 
        2/3*v - 1 \[LessEqual] c \[LessEqual] 1, 
        c/2 + v/3]\), "\[IndentingNewLine]", 
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      Which[0 \[LessEqual] c \[LessEqual] 1, c]\)}], "Input"],

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          14, 15, 11, 13, 12, 12, 11, 11, 12, 12, 12, 12, 12, 12, 13, 10, 10, 
          12, 11, 12, 12, 11, 10, 10, 12, 11, 9, 11, 12, 12, 12, 13, 13, 12, 
          11, 14, 14, 13, 13, 14, 17, 17, 18, 16, 18, 17, 17, 15, 18, 16, 15, 
          16, 17, 17, 17, 18, 17, 17, 15, 16, 17, 17, 15, 18, 16, 16, 17, 16, 
          16, 16, 15, 18, 16, 16, 13, 15, 17, 15, 15, 15, 15, 14, 15, 17, 14, 
          14, 15, 14, 14, 15, 13, 16, 13, 14, 14, 14, 14, 13, 14, 14, 13, 13, 
          11, 12, 12, 13, 13, 13, 10, 14, 11, 12, 11, 13, 9, 10, 10, 11, 12, 
          10, 11, 11, 9, 10, 10, 10, 10, 10, 10, 9, 8, 10, 9, 10, 10, 10, 10, 
          8, 9, 9, 8, 8, 9, 8, 8, 6, 8, 7, 8, 6, 7, 6, 6, 6, 7, 5, 5, 6, 5, 
          4, 5, 4, 
          4}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:14s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 4308, " -> ", {11, 33, 31, 33, 31, 30, 31, 30,
         32, 30, 32, 32, 29, 31, 28, 29, 30, 33, 31, 28, 29, 29, 31, 30, 31, 
        29, 29, 29, 27, 29, 29, 30, 31, 29, 29, 28, 29, 30, 31, 28, 27, 28, 
        28, 28, 24, 26, 28, 27, 26, 25, 28, 25, 25, 25, 25, 24, 24, 27, 22, 
        23, 21, 24, 23, 23, 24, 24, 21, 23, 22, 22, 22, 23, 22, 22, 21, 21, 
        18, 25, 16, 14, 15, 15, 15, 14, 14, 14, 14, 14, 13, 13, 12, 12, 11, 
        15, 14, 15, 11, 13, 12, 12, 11, 11, 12, 12, 12, 12, 12, 12, 13, 10, 
        10, 12, 11, 12, 12, 11, 10, 10, 12, 11, 9, 11, 12, 12, 12, 13, 13, 12,
         11, 14, 14, 13, 13, 14, 17, 17, 18, 16, 18, 17, 17, 15, 18, 16, 15, 
        16, 17, 17, 17, 18, 17, 17, 15, 16, 17, 17, 15, 18, 16, 16, 17, 16, 
        16, 16, 15, 18, 16, 16, 13, 15, 17, 15, 15, 15, 15, 14, 15, 17, 14, 
        14, 15, 14, 14, 15, 13, 16, 13, 14, 14, 14, 14, 13, 14, 14, 13, 13, 
        11, 12, 12, 13, 13, 13, 10, 14, 11, 12, 11, 13, 9, 10, 10, 11, 12, 10,
         11, 11, 9, 10, 10, 10, 10, 10, 10, 9, 8, 10, 9, 10, 10, 10, 10, 8, 9,
         9, 8, 8, 9, 8, 8, 6, 8, 7, 8, 6, 7, 6, 6, 6, 7, 5, 5, 6, 5, 4, 5, 4, 
        4}, " pairs per type", " in ", "10:14s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]4337\
\[InvisibleSpace]" -> "\[InvisibleSpace]{11, 27, 26, 54, 41, 27, 37, 31, 30, 
          37, 37, 34, 31, 31, 35, 30, 34, 24, 26, 32, 27, 26, 25, 28, 25, 25, 
          30, 43, 29, 32, 32, 33, 26, 25, 27, 25, 25, 26, 23, 30, 25, 29, 24, 
          30, 23, 30, 30, 28, 27, 22, 22, 23, 22, 24, 29, 25, 22, 22, 19, 35, 
          36, 25, 22, 29, 19, 20, 19, 28, 19, 27, 19, 19, 19, 24, 31, 18, 18, 
          25, 13, 14, 15, 18, 15, 14, 13, 13, 26, 13, 13, 22, 20, 12, 32, 13, 
          11, 11, 11, 13, 10, 11, 10, 11, 12, 9, 13, 11, 12, 12, 12, 10, 9, 
          11, 11, 12, 12, 14, 16, 10, 12, 11, 9, 11, 11, 11, 16, 15, 17, 12, 
          11, 14, 12, 13, 13, 12, 14, 14, 21, 21, 15, 20, 14, 25, 15, 20, 23, 
          14, 14, 18, 15, 16, 17, 18, 19, 14, 20, 14, 11, 15, 13, 21, 17, 13, 
          14, 21, 14, 14, 19, 13, 13, 13, 14, 21, 13, 13, 14, 13, 13, 12, 14, 
          15, 12, 13, 12, 13, 11, 12, 12, 12, 12, 12, 12, 14, 12, 11, 15, 11, 
          21, 12, 12, 11, 10, 15, 12, 11, 11, 9, 20, 11, 9, 10, 10, 9, 11, 
          10, 10, 9, 9, 9, 9, 8, 8, 10, 10, 9, 8, 10, 9, 9, 10, 9, 10, 8, 9, 
          11, 7, 8, 9, 8, 8, 7, 8, 7, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 5, 
          4, 3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"09:59s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 4337, " -> ", {11, 27, 26, 54, 41, 27, 37, 31,
         30, 37, 37, 34, 31, 31, 35, 30, 34, 24, 26, 32, 27, 26, 25, 28, 25, 
        25, 30, 43, 29, 32, 32, 33, 26, 25, 27, 25, 25, 26, 23, 30, 25, 29, 
        24, 30, 23, 30, 30, 28, 27, 22, 22, 23, 22, 24, 29, 25, 22, 22, 19, 
        35, 36, 25, 22, 29, 19, 20, 19, 28, 19, 27, 19, 19, 19, 24, 31, 18, 
        18, 25, 13, 14, 15, 18, 15, 14, 13, 13, 26, 13, 13, 22, 20, 12, 32, 
        13, 11, 11, 11, 13, 10, 11, 10, 11, 12, 9, 13, 11, 12, 12, 12, 10, 9, 
        11, 11, 12, 12, 14, 16, 10, 12, 11, 9, 11, 11, 11, 16, 15, 17, 12, 11,
         14, 12, 13, 13, 12, 14, 14, 21, 21, 15, 20, 14, 25, 15, 20, 23, 14, 
        14, 18, 15, 16, 17, 18, 19, 14, 20, 14, 11, 15, 13, 21, 17, 13, 14, 
        21, 14, 14, 19, 13, 13, 13, 14, 21, 13, 13, 14, 13, 13, 12, 14, 15, 
        12, 13, 12, 13, 11, 12, 12, 12, 12, 12, 12, 14, 12, 11, 15, 11, 21, 
        12, 12, 11, 10, 15, 12, 11, 11, 9, 20, 11, 9, 10, 10, 9, 11, 10, 10, 
        9, 9, 9, 9, 8, 8, 10, 10, 9, 8, 10, 9, 9, 10, 9, 10, 8, 9, 11, 7, 8, 
        9, 8, 8, 7, 8, 7, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 5, 4, 3}, 
        " pairs per type", " in ", "09:59s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]3870\
\[InvisibleSpace]" -> "\[InvisibleSpace]{11, 32, 31, 24, 25, 23, 24, 21, 23, 
          23, 24, 26, 20, 32, 25, 32, 22, 24, 23, 23, 22, 24, 22, 23, 25, 23, 
          23, 24, 34, 22, 26, 23, 23, 33, 23, 32, 21, 24, 22, 22, 27, 29, 28, 
          24, 21, 22, 23, 23, 20, 35, 21, 23, 21, 21, 20, 30, 20, 21, 19, 18, 
          20, 19, 21, 18, 18, 19, 18, 16, 17, 18, 24, 24, 23, 26, 17, 21, 15, 
          25, 19, 12, 13, 14, 18, 13, 13, 12, 13, 12, 11, 12, 21, 12, 10, 13, 
          11, 19, 10, 10, 10, 11, 10, 9, 12, 12, 9, 11, 11, 18, 9, 9, 8, 11, 
          11, 11, 11, 11, 18, 10, 11, 10, 23, 10, 11, 13, 12, 12, 11, 15, 11, 
          12, 11, 17, 12, 11, 13, 28, 13, 13, 14, 14, 14, 14, 19, 14, 14, 26, 
          18, 13, 13, 15, 18, 13, 13, 19, 22, 14, 11, 13, 16, 12, 12, 13, 12, 
          12, 12, 14, 13, 13, 13, 19, 12, 11, 13, 13, 12, 12, 12, 12, 12, 17, 
          12, 12, 12, 11, 14, 11, 21, 11, 11, 11, 12, 11, 14, 11, 11, 11, 10, 
          15, 15, 11, 9, 10, 10, 11, 10, 9, 9, 10, 15, 8, 10, 9, 9, 8, 8, 8, 
          9, 8, 9, 12, 8, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 8, 7, 8, 
          9, 8, 8, 6, 8, 7, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 5, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:18s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 3870, " -> ", {11, 32, 31, 24, 25, 23, 24, 21,
         23, 23, 24, 26, 20, 32, 25, 32, 22, 24, 23, 23, 22, 24, 22, 23, 25, 
        23, 23, 24, 34, 22, 26, 23, 23, 33, 23, 32, 21, 24, 22, 22, 27, 29, 
        28, 24, 21, 22, 23, 23, 20, 35, 21, 23, 21, 21, 20, 30, 20, 21, 19, 
        18, 20, 19, 21, 18, 18, 19, 18, 16, 17, 18, 24, 24, 23, 26, 17, 21, 
        15, 25, 19, 12, 13, 14, 18, 13, 13, 12, 13, 12, 11, 12, 21, 12, 10, 
        13, 11, 19, 10, 10, 10, 11, 10, 9, 12, 12, 9, 11, 11, 18, 9, 9, 8, 11,
         11, 11, 11, 11, 18, 10, 11, 10, 23, 10, 11, 13, 12, 12, 11, 15, 11, 
        12, 11, 17, 12, 11, 13, 28, 13, 13, 14, 14, 14, 14, 19, 14, 14, 26, 
        18, 13, 13, 15, 18, 13, 13, 19, 22, 14, 11, 13, 16, 12, 12, 13, 12, 
        12, 12, 14, 13, 13, 13, 19, 12, 11, 13, 13, 12, 12, 12, 12, 12, 17, 
        12, 12, 12, 11, 14, 11, 21, 11, 11, 11, 12, 11, 14, 11, 11, 11, 10, 
        15, 15, 11, 9, 10, 10, 11, 10, 9, 9, 10, 15, 8, 10, 9, 9, 8, 8, 8, 9, 
        8, 9, 12, 8, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 8, 7, 8, 9, 8, 
        8, 6, 8, 7, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 5, 4, 3}, 
        " pairs per type", " in ", "10:18s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]3613\
\[InvisibleSpace]" -> "\[InvisibleSpace]{11, 23, 35, 24, 22, 21, 22, 31, 22, 
          20, 23, 23, 20, 21, 23, 20, 22, 22, 20, 22, 23, 31, 21, 23, 22, 22, 
          22, 23, 29, 22, 21, 23, 23, 23, 23, 22, 21, 24, 21, 34, 23, 33, 22, 
          23, 21, 22, 22, 21, 20, 19, 21, 19, 25, 19, 20, 20, 19, 20, 18, 18, 
          19, 18, 18, 17, 18, 18, 27, 30, 17, 18, 17, 15, 16, 16, 15, 15, 20, 
          26, 13, 12, 13, 13, 14, 13, 13, 17, 13, 12, 11, 11, 11, 10, 10, 12, 
          11, 17, 7, 10, 10, 10, 10, 10, 9, 9, 8, 17, 10, 27, 9, 9, 8, 10, 9, 
          14, 11, 10, 9, 9, 11, 10, 13, 10, 10, 9, 9, 12, 10, 11, 11, 10, 11, 
          12, 12, 11, 24, 12, 13, 13, 12, 13, 11, 13, 14, 21, 12, 13, 13, 22, 
          13, 15, 12, 12, 13, 12, 13, 12, 11, 13, 12, 28, 11, 12, 17, 12, 16, 
          12, 13, 12, 15, 13, 12, 11, 11, 13, 12, 11, 12, 11, 21, 11, 10, 11, 
          11, 11, 16, 10, 11, 11, 10, 10, 10, 10, 10, 9, 11, 11, 10, 10, 10, 
          15, 9, 10, 14, 10, 9, 9, 9, 9, 8, 8, 12, 9, 8, 8, 8, 8, 8, 8, 9, 7, 
          8, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 9, 8, 9, 8, 8, 6, 
          8, 6, 8, 6, 7, 6, 5, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:04s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 3613, " -> ", {11, 23, 35, 24, 22, 21, 22, 31,
         22, 20, 23, 23, 20, 21, 23, 20, 22, 22, 20, 22, 23, 31, 21, 23, 22, 
        22, 22, 23, 29, 22, 21, 23, 23, 23, 23, 22, 21, 24, 21, 34, 23, 33, 
        22, 23, 21, 22, 22, 21, 20, 19, 21, 19, 25, 19, 20, 20, 19, 20, 18, 
        18, 19, 18, 18, 17, 18, 18, 27, 30, 17, 18, 17, 15, 16, 16, 15, 15, 
        20, 26, 13, 12, 13, 13, 14, 13, 13, 17, 13, 12, 11, 11, 11, 10, 10, 
        12, 11, 17, 7, 10, 10, 10, 10, 10, 9, 9, 8, 17, 10, 27, 9, 9, 8, 10, 
        9, 14, 11, 10, 9, 9, 11, 10, 13, 10, 10, 9, 9, 12, 10, 11, 11, 10, 11,
         12, 12, 11, 24, 12, 13, 13, 12, 13, 11, 13, 14, 21, 12, 13, 13, 22, 
        13, 15, 12, 12, 13, 12, 13, 12, 11, 13, 12, 28, 11, 12, 17, 12, 16, 
        12, 13, 12, 15, 13, 12, 11, 11, 13, 12, 11, 12, 11, 21, 11, 10, 11, 
        11, 11, 16, 10, 11, 11, 10, 10, 10, 10, 10, 9, 11, 11, 10, 10, 10, 15,
         9, 10, 14, 10, 9, 9, 9, 9, 8, 8, 12, 9, 8, 8, 8, 8, 8, 8, 9, 7, 8, 
        10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 9, 8, 9, 8, 8, 6, 8, 6, 
        8, 6, 7, 6, 5, 6, 6, 5, 5, 6, 5, 4, 4, 4, 3}, " pairs per type", 
        " in ", "10:04s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]3354\
\[InvisibleSpace]" -> "\[InvisibleSpace]{11, 20, 21, 23, 20, 20, 21, 20, 21, 
          22, 21, 21, 18, 21, 22, 20, 22, 21, 18, 21, 21, 21, 20, 23, 27, 27, 
          34, 26, 21, 22, 21, 21, 21, 23, 27, 21, 23, 21, 19, 21, 21, 20, 21, 
          20, 28, 20, 19, 19, 19, 18, 21, 19, 19, 19, 19, 25, 19, 19, 18, 19, 
          18, 18, 17, 17, 17, 17, 16, 16, 17, 18, 16, 14, 15, 16, 15, 15, 14, 
          26, 13, 12, 13, 13, 13, 13, 12, 28, 12, 12, 11, 11, 10, 10, 10, 11, 
          11, 9, 7, 10, 13, 10, 8, 10, 9, 9, 15, 10, 10, 10, 9, 9, 8, 10, 8, 
          9, 10, 10, 9, 8, 10, 9, 9, 10, 10, 9, 9, 11, 10, 11, 11, 10, 11, 
          11, 10, 11, 12, 12, 13, 12, 12, 12, 15, 13, 14, 13, 12, 13, 13, 13, 
          12, 13, 12, 13, 13, 12, 12, 11, 11, 12, 12, 12, 11, 12, 12, 10, 11, 
          12, 13, 11, 12, 12, 11, 11, 11, 11, 12, 11, 12, 10, 11, 11, 10, 10, 
          9, 10, 10, 10, 10, 11, 9, 10, 9, 10, 9, 8, 10, 10, 10, 9, 10, 9, 9, 
          10, 9, 9, 9, 11, 9, 9, 8, 8, 9, 9, 8, 8, 8, 13, 8, 8, 8, 7, 8, 10, 
          10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 9, 8, 9, 8, 8, 6, 8, 6, 8, 
          6, 7, 6, 5, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:06s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 3354, " -> ", {11, 20, 21, 23, 20, 20, 21, 20,
         21, 22, 21, 21, 18, 21, 22, 20, 22, 21, 18, 21, 21, 21, 20, 23, 27, 
        27, 34, 26, 21, 22, 21, 21, 21, 23, 27, 21, 23, 21, 19, 21, 21, 20, 
        21, 20, 28, 20, 19, 19, 19, 18, 21, 19, 19, 19, 19, 25, 19, 19, 18, 
        19, 18, 18, 17, 17, 17, 17, 16, 16, 17, 18, 16, 14, 15, 16, 15, 15, 
        14, 26, 13, 12, 13, 13, 13, 13, 12, 28, 12, 12, 11, 11, 10, 10, 10, 
        11, 11, 9, 7, 10, 13, 10, 8, 10, 9, 9, 15, 10, 10, 10, 9, 9, 8, 10, 8,
         9, 10, 10, 9, 8, 10, 9, 9, 10, 10, 9, 9, 11, 10, 11, 11, 10, 11, 11, 
        10, 11, 12, 12, 13, 12, 12, 12, 15, 13, 14, 13, 12, 13, 13, 13, 12, 
        13, 12, 13, 13, 12, 12, 11, 11, 12, 12, 12, 11, 12, 12, 10, 11, 12, 
        13, 11, 12, 12, 11, 11, 11, 11, 12, 11, 12, 10, 11, 11, 10, 10, 9, 10,
         10, 10, 10, 11, 9, 10, 9, 10, 9, 8, 10, 10, 10, 9, 10, 9, 9, 10, 9, 
        9, 9, 11, 9, 9, 8, 8, 9, 9, 8, 8, 8, 13, 8, 8, 8, 7, 8, 10, 10, 9, 8, 
        10, 9, 9, 10, 10, 10, 8, 9, 6, 9, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 5, 
        6, 6, 5, 5, 6, 5, 4, 4, 4, 3}, " pairs per type", " in ", "10:06s", 
        "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]3315\
\[InvisibleSpace]" -> "\[InvisibleSpace]{11, 20, 20, 20, 19, 20, 20, 18, 20, 
          20, 21, 21, 18, 35, 21, 19, 20, 21, 21, 20, 21, 21, 19, 21, 19, 19, 
          38, 19, 21, 22, 21, 20, 19, 20, 20, 20, 19, 20, 18, 21, 22, 20, 21, 
          20, 19, 20, 19, 19, 19, 31, 19, 34, 26, 24, 19, 17, 18, 26, 18, 18, 
          17, 18, 17, 16, 17, 16, 16, 15, 16, 15, 16, 14, 25, 15, 15, 14, 14, 
          26, 13, 12, 12, 13, 13, 13, 12, 11, 11, 12, 10, 10, 10, 10, 10, 11, 
          11, 18, 7, 10, 9, 10, 8, 9, 9, 9, 8, 9, 10, 10, 9, 9, 7, 9, 8, 9, 
          10, 10, 9, 8, 10, 9, 8, 9, 10, 9, 9, 10, 10, 11, 11, 10, 11, 11, 
          10, 11, 11, 14, 12, 11, 19, 12, 29, 13, 13, 12, 11, 12, 12, 11, 12, 
          12, 12, 12, 12, 11, 12, 11, 11, 12, 11, 12, 22, 11, 12, 10, 11, 12, 
          12, 11, 11, 10, 11, 11, 10, 11, 11, 11, 9, 10, 10, 11, 10, 10, 9, 
          10, 20, 10, 10, 9, 9, 10, 9, 9, 8, 8, 10, 10, 9, 9, 10, 9, 9, 9, 8, 
          9, 9, 8, 8, 9, 8, 11, 9, 9, 8, 8, 8, 7, 8, 8, 8, 7, 8, 10, 10, 9, 
          8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 9, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 
          6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:09s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 3315, " -> ", {11, 20, 20, 20, 19, 20, 20, 18,
         20, 20, 21, 21, 18, 35, 21, 19, 20, 21, 21, 20, 21, 21, 19, 21, 19, 
        19, 38, 19, 21, 22, 21, 20, 19, 20, 20, 20, 19, 20, 18, 21, 22, 20, 
        21, 20, 19, 20, 19, 19, 19, 31, 19, 34, 26, 24, 19, 17, 18, 26, 18, 
        18, 17, 18, 17, 16, 17, 16, 16, 15, 16, 15, 16, 14, 25, 15, 15, 14, 
        14, 26, 13, 12, 12, 13, 13, 13, 12, 11, 11, 12, 10, 10, 10, 10, 10, 
        11, 11, 18, 7, 10, 9, 10, 8, 9, 9, 9, 8, 9, 10, 10, 9, 9, 7, 9, 8, 9, 
        10, 10, 9, 8, 10, 9, 8, 9, 10, 9, 9, 10, 10, 11, 11, 10, 11, 11, 10, 
        11, 11, 14, 12, 11, 19, 12, 29, 13, 13, 12, 11, 12, 12, 11, 12, 12, 
        12, 12, 12, 11, 12, 11, 11, 12, 11, 12, 22, 11, 12, 10, 11, 12, 12, 
        11, 11, 10, 11, 11, 10, 11, 11, 11, 9, 10, 10, 11, 10, 10, 9, 10, 20, 
        10, 10, 9, 9, 10, 9, 9, 8, 8, 10, 10, 9, 9, 10, 9, 9, 9, 8, 9, 9, 8, 
        8, 9, 8, 11, 9, 9, 8, 8, 8, 7, 8, 8, 8, 7, 8, 10, 10, 9, 8, 10, 9, 9, 
        10, 10, 10, 8, 9, 6, 9, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 
        5, 6, 5, 4, 4, 4, 3}, " pairs per type", " in ", "10:09s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]3251\
\[InvisibleSpace]" -> "\[InvisibleSpace]{11, 19, 20, 20, 19, 20, 19, 18, 20, 
          20, 21, 20, 18, 21, 21, 33, 19, 23, 33, 20, 19, 21, 18, 20, 19, 45, 
          19, 19, 21, 20, 21, 18, 19, 20, 19, 20, 28, 20, 18, 20, 27, 19, 20, 
          20, 34, 19, 19, 21, 19, 18, 19, 19, 19, 18, 25, 17, 18, 19, 17, 17, 
          17, 17, 16, 16, 16, 16, 16, 15, 15, 15, 16, 14, 15, 14, 14, 13, 14, 
          26, 13, 12, 12, 12, 12, 13, 12, 21, 10, 12, 10, 10, 10, 10, 9, 11, 
          10, 9, 7, 8, 9, 8, 8, 9, 8, 9, 8, 9, 10, 10, 8, 8, 7, 9, 8, 9, 10, 
          10, 9, 8, 10, 9, 8, 9, 9, 9, 9, 9, 10, 17, 10, 10, 9, 11, 10, 11, 
          11, 12, 12, 11, 12, 11, 11, 12, 13, 12, 11, 12, 11, 11, 11, 12, 12, 
          12, 12, 22, 12, 11, 13, 10, 10, 11, 11, 11, 12, 10, 10, 10, 12, 11, 
          10, 10, 11, 11, 10, 11, 11, 11, 10, 10, 10, 11, 17, 10, 17, 15, 10, 
          10, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 9, 9, 9, 9, 9, 21, 9, 9, 8, 8, 
          9, 7, 8, 7, 8, 8, 8, 8, 7, 8, 8, 8, 7, 8, 10, 10, 9, 8, 10, 9, 9, 
          10, 10, 10, 8, 9, 7, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 
          5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:24s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 3251, " -> ", {11, 19, 20, 20, 19, 20, 19, 18,
         20, 20, 21, 20, 18, 21, 21, 33, 19, 23, 33, 20, 19, 21, 18, 20, 19, 
        45, 19, 19, 21, 20, 21, 18, 19, 20, 19, 20, 28, 20, 18, 20, 27, 19, 
        20, 20, 34, 19, 19, 21, 19, 18, 19, 19, 19, 18, 25, 17, 18, 19, 17, 
        17, 17, 17, 16, 16, 16, 16, 16, 15, 15, 15, 16, 14, 15, 14, 14, 13, 
        14, 26, 13, 12, 12, 12, 12, 13, 12, 21, 10, 12, 10, 10, 10, 10, 9, 11,
         10, 9, 7, 8, 9, 8, 8, 9, 8, 9, 8, 9, 10, 10, 8, 8, 7, 9, 8, 9, 10, 
        10, 9, 8, 10, 9, 8, 9, 9, 9, 9, 9, 10, 17, 10, 10, 9, 11, 10, 11, 11, 
        12, 12, 11, 12, 11, 11, 12, 13, 12, 11, 12, 11, 11, 11, 12, 12, 12, 
        12, 22, 12, 11, 13, 10, 10, 11, 11, 11, 12, 10, 10, 10, 12, 11, 10, 
        10, 11, 11, 10, 11, 11, 11, 10, 10, 10, 11, 17, 10, 17, 15, 10, 10, 9,
         9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 9, 9, 9, 9, 9, 21, 9, 9, 8, 8, 9, 7, 8,
         7, 8, 8, 8, 8, 7, 8, 8, 8, 7, 8, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 
        8, 9, 7, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 
        4, 4, 3}, " pairs per type", " in ", "10:24s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]3048\
\[InvisibleSpace]" -> "\[InvisibleSpace]{11, 18, 18, 18, 19, 19, 17, 18, 20, 
          19, 19, 20, 18, 21, 19, 19, 19, 18, 19, 19, 19, 20, 16, 19, 19, 18, 
          19, 18, 19, 20, 19, 18, 19, 18, 18, 19, 34, 20, 18, 19, 19, 21, 20, 
          20, 18, 18, 19, 29, 18, 18, 18, 19, 19, 18, 19, 17, 18, 17, 17, 17, 
          17, 16, 16, 15, 16, 16, 16, 15, 13, 15, 14, 13, 15, 13, 14, 13, 13, 
          26, 13, 11, 12, 12, 12, 12, 11, 10, 10, 11, 10, 10, 10, 10, 8, 10, 
          9, 9, 7, 8, 7, 8, 8, 9, 8, 9, 8, 9, 9, 9, 8, 8, 7, 9, 8, 9, 9, 8, 
          9, 12, 9, 9, 8, 9, 9, 9, 9, 9, 10, 9, 10, 10, 9, 11, 10, 11, 11, 
          12, 11, 11, 12, 11, 11, 12, 12, 11, 11, 12, 11, 11, 11, 12, 12, 12, 
          11, 11, 11, 11, 17, 10, 10, 11, 11, 10, 10, 10, 10, 10, 10, 16, 10, 
          10, 11, 11, 10, 11, 10, 11, 9, 10, 10, 10, 10, 10, 9, 9, 10, 10, 9, 
          9, 9, 8, 7, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 9, 7, 
          8, 7, 8, 7, 8, 8, 7, 7, 8, 8, 7, 7, 10, 10, 9, 8, 10, 9, 9, 10, 10, 
          10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 
          5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:35s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 3048, " -> ", {11, 18, 18, 18, 19, 19, 17, 18,
         20, 19, 19, 20, 18, 21, 19, 19, 19, 18, 19, 19, 19, 20, 16, 19, 19, 
        18, 19, 18, 19, 20, 19, 18, 19, 18, 18, 19, 34, 20, 18, 19, 19, 21, 
        20, 20, 18, 18, 19, 29, 18, 18, 18, 19, 19, 18, 19, 17, 18, 17, 17, 
        17, 17, 16, 16, 15, 16, 16, 16, 15, 13, 15, 14, 13, 15, 13, 14, 13, 
        13, 26, 13, 11, 12, 12, 12, 12, 11, 10, 10, 11, 10, 10, 10, 10, 8, 10,
         9, 9, 7, 8, 7, 8, 8, 9, 8, 9, 8, 9, 9, 9, 8, 8, 7, 9, 8, 9, 9, 8, 9, 
        12, 9, 9, 8, 9, 9, 9, 9, 9, 10, 9, 10, 10, 9, 11, 10, 11, 11, 12, 11, 
        11, 12, 11, 11, 12, 12, 11, 11, 12, 11, 11, 11, 12, 12, 12, 11, 11, 
        11, 11, 17, 10, 10, 11, 11, 10, 10, 10, 10, 10, 10, 16, 10, 10, 11, 
        11, 10, 11, 10, 11, 9, 10, 10, 10, 10, 10, 9, 9, 10, 10, 9, 9, 9, 8, 
        7, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 7, 8, 8, 9, 7, 8, 7, 8, 7, 
        8, 8, 7, 7, 8, 8, 7, 7, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 
        7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 3}, 
        " pairs per type", " in ", "10:35s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]3018\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 18, 17, 19, 19, 19, 17, 18, 20, 
          18, 19, 20, 17, 21, 20, 18, 18, 18, 16, 18, 19, 19, 16, 18, 18, 18, 
          17, 18, 20, 19, 19, 18, 19, 18, 27, 18, 19, 29, 17, 16, 18, 19, 17, 
          20, 18, 19, 19, 19, 18, 16, 18, 19, 18, 18, 19, 17, 18, 17, 17, 17, 
          16, 15, 15, 15, 16, 16, 16, 16, 13, 15, 14, 14, 15, 13, 14, 13, 13, 
          26, 13, 11, 12, 12, 12, 12, 11, 9, 10, 11, 10, 10, 9, 10, 8, 10, 9, 
          9, 7, 9, 8, 8, 7, 9, 8, 9, 8, 9, 9, 9, 8, 7, 23, 9, 8, 9, 9, 11, 9, 
          14, 10, 9, 8, 9, 9, 9, 9, 9, 10, 9, 10, 10, 9, 11, 10, 9, 11, 11, 
          11, 11, 11, 11, 11, 12, 12, 11, 11, 12, 11, 11, 11, 12, 11, 12, 11, 
          11, 16, 11, 11, 10, 10, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
          10, 10, 10, 10, 10, 10, 15, 9, 10, 10, 9, 9, 9, 9, 9, 10, 9, 8, 9, 
          8, 7, 15, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 8, 7, 7, 8, 8, 9, 7, 8, 7, 
          7, 7, 8, 8, 7, 7, 8, 7, 7, 7, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 
          8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 
          4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:30s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 3018, " -> ", {10, 18, 17, 19, 19, 19, 17, 18,
         20, 18, 19, 20, 17, 21, 20, 18, 18, 18, 16, 18, 19, 19, 16, 18, 18, 
        18, 17, 18, 20, 19, 19, 18, 19, 18, 27, 18, 19, 29, 17, 16, 18, 19, 
        17, 20, 18, 19, 19, 19, 18, 16, 18, 19, 18, 18, 19, 17, 18, 17, 17, 
        17, 16, 15, 15, 15, 16, 16, 16, 16, 13, 15, 14, 14, 15, 13, 14, 13, 
        13, 26, 13, 11, 12, 12, 12, 12, 11, 9, 10, 11, 10, 10, 9, 10, 8, 10, 
        9, 9, 7, 9, 8, 8, 7, 9, 8, 9, 8, 9, 9, 9, 8, 7, 23, 9, 8, 9, 9, 11, 9,
         14, 10, 9, 8, 9, 9, 9, 9, 9, 10, 9, 10, 10, 9, 11, 10, 9, 11, 11, 11,
         11, 11, 11, 11, 12, 12, 11, 11, 12, 11, 11, 11, 12, 11, 12, 11, 11, 
        16, 11, 11, 10, 10, 11, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
         10, 10, 10, 10, 15, 9, 10, 10, 9, 9, 9, 9, 9, 10, 9, 8, 9, 8, 7, 15, 
        8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 8, 7, 7, 8, 8, 9, 7, 8, 7, 7, 7, 8, 8, 
        7, 7, 8, 7, 7, 7, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 
        9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 3}, 
        " pairs per type", " in ", "10:30s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2945\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 18, 17, 19, 19, 18, 19, 18, 20, 
          18, 17, 19, 17, 20, 17, 17, 21, 18, 16, 18, 18, 18, 24, 18, 19, 18, 
          17, 18, 18, 19, 18, 20, 27, 17, 18, 18, 18, 18, 20, 16, 17, 19, 16, 
          19, 17, 19, 21, 18, 18, 16, 18, 19, 18, 27, 18, 16, 17, 17, 17, 16, 
          16, 16, 15, 15, 16, 14, 16, 15, 12, 15, 14, 14, 15, 13, 14, 12, 13, 
          26, 13, 11, 12, 11, 12, 11, 11, 10, 10, 11, 10, 9, 9, 9, 8, 10, 8, 
          20, 7, 8, 7, 8, 7, 9, 8, 9, 7, 9, 9, 9, 7, 7, 7, 9, 8, 8, 9, 8, 8, 
          8, 9, 9, 8, 9, 9, 9, 9, 9, 10, 9, 9, 10, 9, 11, 10, 10, 10, 12, 11, 
          11, 11, 11, 11, 11, 10, 10, 11, 12, 10, 11, 11, 12, 11, 11, 10, 10, 
          11, 9, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 10, 
          10, 10, 10, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 10, 9, 8, 9, 8, 7, 8, 8, 
          8, 8, 9, 8, 8, 9, 9, 9, 9, 8, 7, 7, 8, 7, 9, 7, 8, 7, 7, 7, 8, 7, 
          7, 7, 8, 7, 7, 7, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 
          8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:44s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2945, " -> ", {10, 18, 17, 19, 19, 18, 19, 18,
         20, 18, 17, 19, 17, 20, 17, 17, 21, 18, 16, 18, 18, 18, 24, 18, 19, 
        18, 17, 18, 18, 19, 18, 20, 27, 17, 18, 18, 18, 18, 20, 16, 17, 19, 
        16, 19, 17, 19, 21, 18, 18, 16, 18, 19, 18, 27, 18, 16, 17, 17, 17, 
        16, 16, 16, 15, 15, 16, 14, 16, 15, 12, 15, 14, 14, 15, 13, 14, 12, 
        13, 26, 13, 11, 12, 11, 12, 11, 11, 10, 10, 11, 10, 9, 9, 9, 8, 10, 8,
         20, 7, 8, 7, 8, 7, 9, 8, 9, 7, 9, 9, 9, 7, 7, 7, 9, 8, 8, 9, 8, 8, 8,
         9, 9, 8, 9, 9, 9, 9, 9, 10, 9, 9, 10, 9, 11, 10, 10, 10, 12, 11, 11, 
        11, 11, 11, 11, 10, 10, 11, 12, 10, 11, 11, 12, 11, 11, 10, 10, 11, 9,
         10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 
        10, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 10, 9, 8, 9, 8, 7, 8, 8, 8, 8, 9, 
        8, 8, 9, 9, 9, 9, 8, 7, 7, 8, 7, 9, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 
        7, 7, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 
        8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 3}, " pairs per type",
         " in ", "10:44s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2866\
\[InvisibleSpace]" -> "\[InvisibleSpace]{11, 18, 17, 18, 19, 18, 19, 18, 18, 
          18, 17, 18, 17, 18, 20, 18, 18, 17, 16, 18, 18, 18, 16, 18, 18, 18, 
          17, 17, 18, 18, 18, 18, 17, 16, 18, 18, 17, 17, 17, 16, 16, 19, 16, 
          19, 17, 16, 18, 18, 17, 32, 18, 18, 18, 17, 18, 16, 17, 17, 16, 16, 
          16, 15, 15, 15, 15, 14, 15, 15, 12, 15, 14, 14, 15, 13, 14, 12, 13, 
          26, 13, 11, 12, 11, 11, 11, 11, 9, 10, 11, 10, 9, 9, 9, 8, 10, 8, 
          9, 7, 8, 8, 8, 7, 9, 8, 9, 7, 8, 8, 8, 7, 7, 7, 9, 8, 7, 9, 8, 8, 
          8, 9, 9, 7, 9, 9, 9, 9, 8, 10, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 
          10, 11, 11, 10, 11, 11, 10, 11, 10, 10, 11, 11, 12, 11, 11, 10, 10, 
          11, 9, 9, 10, 10, 9, 9, 10, 9, 9, 10, 10, 10, 9, 10, 10, 10, 9, 10, 
          10, 10, 9, 9, 9, 10, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 7, 9, 8, 8, 
          8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 7, 8, 7, 8, 7, 7, 7, 8, 7, 7, 
          7, 6, 7, 6, 7, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 
          9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:41s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2866, " -> ", {11, 18, 17, 18, 19, 18, 19, 18,
         18, 18, 17, 18, 17, 18, 20, 18, 18, 17, 16, 18, 18, 18, 16, 18, 18, 
        18, 17, 17, 18, 18, 18, 18, 17, 16, 18, 18, 17, 17, 17, 16, 16, 19, 
        16, 19, 17, 16, 18, 18, 17, 32, 18, 18, 18, 17, 18, 16, 17, 17, 16, 
        16, 16, 15, 15, 15, 15, 14, 15, 15, 12, 15, 14, 14, 15, 13, 14, 12, 
        13, 26, 13, 11, 12, 11, 11, 11, 11, 9, 10, 11, 10, 9, 9, 9, 8, 10, 8, 
        9, 7, 8, 8, 8, 7, 9, 8, 9, 7, 8, 8, 8, 7, 7, 7, 9, 8, 7, 9, 8, 8, 8, 
        9, 9, 7, 9, 9, 9, 9, 8, 10, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 10, 
        11, 11, 10, 11, 11, 10, 11, 10, 10, 11, 11, 12, 11, 11, 10, 10, 11, 9,
         9, 10, 10, 9, 9, 10, 9, 9, 10, 10, 10, 9, 10, 10, 10, 9, 10, 10, 10, 
        9, 9, 9, 10, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 7, 9, 8, 8, 8, 8, 8, 8, 
        8, 8, 8, 8, 8, 7, 7, 8, 7, 8, 7, 8, 7, 7, 7, 8, 7, 7, 7, 6, 7, 6, 7, 
        10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 
        8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 3}, " pairs per type", 
        " in ", "10:41s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2878\
\[InvisibleSpace]" -> "\[InvisibleSpace]{11, 18, 17, 17, 18, 17, 19, 17, 18, 
          17, 16, 17, 17, 17, 34, 17, 18, 17, 16, 17, 17, 17, 37, 17, 18, 17, 
          16, 17, 18, 17, 17, 17, 19, 16, 18, 16, 17, 17, 17, 16, 16, 17, 16, 
          18, 17, 16, 18, 17, 17, 16, 16, 16, 17, 17, 18, 16, 17, 16, 16, 15, 
          16, 15, 15, 15, 15, 14, 15, 14, 12, 14, 14, 13, 15, 13, 14, 12, 12, 
          26, 13, 16, 11, 11, 11, 11, 10, 9, 10, 11, 19, 9, 9, 9, 8, 9, 8, 9, 
          7, 8, 8, 8, 7, 9, 8, 9, 7, 8, 8, 8, 7, 6, 7, 9, 8, 7, 9, 23, 8, 21, 
          9, 9, 7, 9, 9, 8, 9, 8, 10, 9, 9, 9, 9, 10, 10, 9, 10, 10, 11, 10, 
          10, 11, 10, 11, 11, 10, 11, 10, 9, 11, 11, 11, 11, 11, 10, 10, 11, 
          9, 10, 10, 10, 9, 9, 10, 9, 9, 10, 10, 10, 9, 10, 10, 10, 9, 9, 10, 
          10, 9, 9, 9, 10, 9, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 7, 7, 7, 8, 8, 8, 
          8, 8, 7, 8, 8, 8, 8, 7, 7, 8, 7, 8, 7, 8, 7, 7, 7, 8, 7, 7, 6, 6, 
          7, 6, 7, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 
          8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:39s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2878, " -> ", {11, 18, 17, 17, 18, 17, 19, 17,
         18, 17, 16, 17, 17, 17, 34, 17, 18, 17, 16, 17, 17, 17, 37, 17, 18, 
        17, 16, 17, 18, 17, 17, 17, 19, 16, 18, 16, 17, 17, 17, 16, 16, 17, 
        16, 18, 17, 16, 18, 17, 17, 16, 16, 16, 17, 17, 18, 16, 17, 16, 16, 
        15, 16, 15, 15, 15, 15, 14, 15, 14, 12, 14, 14, 13, 15, 13, 14, 12, 
        12, 26, 13, 16, 11, 11, 11, 11, 10, 9, 10, 11, 19, 9, 9, 9, 8, 9, 8, 
        9, 7, 8, 8, 8, 7, 9, 8, 9, 7, 8, 8, 8, 7, 6, 7, 9, 8, 7, 9, 23, 8, 21,
         9, 9, 7, 9, 9, 8, 9, 8, 10, 9, 9, 9, 9, 10, 10, 9, 10, 10, 11, 10, 
        10, 11, 10, 11, 11, 10, 11, 10, 9, 11, 11, 11, 11, 11, 10, 10, 11, 9, 
        10, 10, 10, 9, 9, 10, 9, 9, 10, 10, 10, 9, 10, 10, 10, 9, 9, 10, 10, 
        9, 9, 9, 10, 9, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 7, 7, 7, 8, 8, 8, 8, 8, 
        7, 8, 8, 8, 8, 7, 7, 8, 7, 8, 7, 8, 7, 7, 7, 8, 7, 7, 6, 6, 7, 6, 7, 
        10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 
        8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 3}, " pairs per type", 
        " in ", "10:39s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2781\
\[InvisibleSpace]" -> "\[InvisibleSpace]{11, 18, 17, 17, 16, 17, 19, 17, 17, 
          17, 16, 17, 17, 17, 16, 17, 18, 15, 16, 16, 17, 17, 16, 17, 18, 17, 
          17, 15, 18, 17, 17, 17, 16, 16, 17, 16, 17, 16, 17, 16, 15, 17, 16, 
          18, 17, 16, 18, 17, 17, 15, 16, 16, 16, 17, 17, 16, 16, 16, 16, 15, 
          16, 15, 15, 14, 15, 14, 15, 14, 13, 15, 13, 13, 15, 13, 14, 12, 12, 
          26, 12, 11, 11, 11, 11, 11, 10, 9, 10, 11, 10, 9, 9, 8, 8, 9, 8, 9, 
          7, 8, 14, 8, 6, 9, 7, 9, 7, 8, 7, 8, 7, 6, 6, 8, 8, 7, 9, 8, 7, 8, 
          9, 9, 7, 9, 9, 8, 9, 8, 10, 9, 8, 9, 9, 10, 10, 9, 10, 10, 11, 10, 
          10, 11, 10, 11, 10, 10, 10, 10, 9, 25, 11, 10, 9, 10, 10, 10, 10, 
          9, 10, 10, 10, 9, 9, 10, 9, 9, 10, 9, 10, 9, 10, 9, 10, 9, 9, 10, 
          10, 9, 9, 9, 10, 9, 9, 8, 9, 9, 9, 8, 8, 8, 9, 8, 7, 7, 7, 8, 8, 8, 
          8, 8, 7, 8, 8, 8, 8, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 6, 
          7, 7, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 
          8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:33s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2781, " -> ", {11, 18, 17, 17, 16, 17, 19, 17,
         17, 17, 16, 17, 17, 17, 16, 17, 18, 15, 16, 16, 17, 17, 16, 17, 18, 
        17, 17, 15, 18, 17, 17, 17, 16, 16, 17, 16, 17, 16, 17, 16, 15, 17, 
        16, 18, 17, 16, 18, 17, 17, 15, 16, 16, 16, 17, 17, 16, 16, 16, 16, 
        15, 16, 15, 15, 14, 15, 14, 15, 14, 13, 15, 13, 13, 15, 13, 14, 12, 
        12, 26, 12, 11, 11, 11, 11, 11, 10, 9, 10, 11, 10, 9, 9, 8, 8, 9, 8, 
        9, 7, 8, 14, 8, 6, 9, 7, 9, 7, 8, 7, 8, 7, 6, 6, 8, 8, 7, 9, 8, 7, 8, 
        9, 9, 7, 9, 9, 8, 9, 8, 10, 9, 8, 9, 9, 10, 10, 9, 10, 10, 11, 10, 10,
         11, 10, 11, 10, 10, 10, 10, 9, 25, 11, 10, 9, 10, 10, 10, 10, 9, 10, 
        10, 10, 9, 9, 10, 9, 9, 10, 9, 10, 9, 10, 9, 10, 9, 9, 10, 10, 9, 9, 
        9, 10, 9, 9, 8, 9, 9, 9, 8, 8, 8, 9, 8, 7, 7, 7, 8, 8, 8, 8, 8, 7, 8, 
        8, 8, 8, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 6, 7, 7, 6, 10, 10,
         9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7,
         6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 3}, " pairs per type", " in ", 
        "10:33s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2760\
\[InvisibleSpace]" -> "\[InvisibleSpace]{11, 17, 17, 17, 16, 17, 19, 16, 17, 
          16, 16, 16, 17, 17, 16, 17, 18, 17, 16, 15, 17, 17, 16, 17, 18, 18, 
          16, 15, 20, 16, 17, 16, 17, 15, 16, 16, 16, 16, 17, 16, 15, 18, 16, 
          18, 16, 16, 29, 17, 17, 16, 16, 15, 16, 16, 18, 16, 16, 16, 16, 15, 
          16, 15, 15, 14, 14, 13, 15, 14, 13, 14, 13, 12, 13, 13, 14, 12, 11, 
          26, 12, 11, 12, 10, 11, 11, 10, 9, 10, 11, 9, 9, 9, 9, 8, 8, 8, 9, 
          7, 8, 8, 8, 6, 7, 7, 9, 7, 7, 7, 8, 7, 6, 6, 8, 8, 7, 8, 7, 8, 8, 
          8, 9, 7, 9, 9, 8, 9, 8, 9, 9, 8, 9, 9, 10, 10, 9, 10, 10, 11, 10, 
          10, 11, 10, 11, 10, 10, 10, 10, 9, 11, 10, 10, 9, 10, 10, 10, 10, 
          9, 10, 10, 9, 9, 9, 10, 9, 9, 9, 8, 10, 9, 10, 9, 9, 9, 9, 10, 10, 
          9, 8, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 8, 9, 8, 7, 8, 7, 8, 8, 20, 8, 
          8, 7, 8, 15, 8, 8, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 6, 6, 
          6, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 
          6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:46s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2760, " -> ", {11, 17, 17, 17, 16, 17, 19, 16,
         17, 16, 16, 16, 17, 17, 16, 17, 18, 17, 16, 15, 17, 17, 16, 17, 18, 
        18, 16, 15, 20, 16, 17, 16, 17, 15, 16, 16, 16, 16, 17, 16, 15, 18, 
        16, 18, 16, 16, 29, 17, 17, 16, 16, 15, 16, 16, 18, 16, 16, 16, 16, 
        15, 16, 15, 15, 14, 14, 13, 15, 14, 13, 14, 13, 12, 13, 13, 14, 12, 
        11, 26, 12, 11, 12, 10, 11, 11, 10, 9, 10, 11, 9, 9, 9, 9, 8, 8, 8, 9,
         7, 8, 8, 8, 6, 7, 7, 9, 7, 7, 7, 8, 7, 6, 6, 8, 8, 7, 8, 7, 8, 8, 8, 
        9, 7, 9, 9, 8, 9, 8, 9, 9, 8, 9, 9, 10, 10, 9, 10, 10, 11, 10, 10, 11,
         10, 11, 10, 10, 10, 10, 9, 11, 10, 10, 9, 10, 10, 10, 10, 9, 10, 10, 
        9, 9, 9, 10, 9, 9, 9, 8, 10, 9, 10, 9, 9, 9, 9, 10, 10, 9, 8, 8, 9, 9,
         9, 8, 9, 9, 9, 8, 8, 8, 9, 8, 7, 8, 7, 8, 8, 20, 8, 8, 7, 8, 15, 8, 
        8, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 6, 6, 6, 6, 10, 10, 9, 8,
         10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6,
         6, 6, 5, 5, 6, 5, 4, 4, 4, 3}, " pairs per type", " in ", "10:46s", 
        "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2714\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 17, 16, 17, 17, 21, 17, 16, 17, 
          16, 16, 15, 21, 17, 16, 17, 16, 17, 15, 15, 17, 17, 16, 17, 17, 16, 
          16, 15, 18, 16, 17, 16, 16, 15, 16, 16, 16, 15, 17, 16, 16, 16, 16, 
          18, 16, 16, 17, 17, 15, 15, 16, 15, 16, 16, 17, 16, 16, 16, 16, 15, 
          16, 15, 21, 14, 14, 13, 14, 14, 13, 15, 13, 13, 14, 13, 13, 12, 11, 
          26, 12, 11, 11, 10, 11, 11, 10, 9, 10, 11, 9, 9, 9, 9, 8, 8, 8, 9, 
          7, 8, 8, 7, 6, 7, 7, 12, 7, 7, 7, 8, 7, 6, 6, 7, 8, 7, 8, 7, 7, 8, 
          8, 9, 7, 8, 9, 8, 9, 8, 9, 9, 8, 9, 9, 10, 10, 9, 10, 10, 11, 10, 
          10, 11, 10, 10, 9, 10, 10, 10, 9, 11, 10, 10, 9, 10, 9, 10, 10, 9, 
          9, 10, 10, 9, 9, 10, 9, 9, 9, 8, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 
          8, 9, 9, 9, 8, 9, 9, 8, 8, 8, 8, 8, 8, 7, 8, 7, 8, 7, 9, 8, 8, 7, 
          8, 8, 8, 8, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 
          10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 
          6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:44s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2714, " -> ", {10, 17, 16, 17, 17, 21, 17, 16,
         17, 16, 16, 15, 21, 17, 16, 17, 16, 17, 15, 15, 17, 17, 16, 17, 17, 
        16, 16, 15, 18, 16, 17, 16, 16, 15, 16, 16, 16, 15, 17, 16, 16, 16, 
        16, 18, 16, 16, 17, 17, 15, 15, 16, 15, 16, 16, 17, 16, 16, 16, 16, 
        15, 16, 15, 21, 14, 14, 13, 14, 14, 13, 15, 13, 13, 14, 13, 13, 12, 
        11, 26, 12, 11, 11, 10, 11, 11, 10, 9, 10, 11, 9, 9, 9, 9, 8, 8, 8, 9,
         7, 8, 8, 7, 6, 7, 7, 12, 7, 7, 7, 8, 7, 6, 6, 7, 8, 7, 8, 7, 7, 8, 8,
         9, 7, 8, 9, 8, 9, 8, 9, 9, 8, 9, 9, 10, 10, 9, 10, 10, 11, 10, 10, 
        11, 10, 10, 9, 10, 10, 10, 9, 11, 10, 10, 9, 10, 9, 10, 10, 9, 9, 10, 
        10, 9, 9, 10, 9, 9, 9, 8, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 
        9, 8, 9, 9, 8, 8, 8, 8, 8, 8, 7, 8, 7, 8, 7, 9, 8, 8, 7, 8, 8, 8, 8, 
        7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 10, 10, 9, 8, 
        10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 
        6, 6, 5, 5, 6, 5, 4, 4, 4, 3}, " pairs per type", " in ", "10:44s", 
        "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2670\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 17, 16, 17, 17, 16, 17, 16, 17, 
          16, 16, 15, 16, 16, 16, 17, 16, 15, 15, 15, 17, 17, 16, 17, 17, 16, 
          15, 15, 17, 16, 17, 16, 15, 15, 16, 15, 16, 15, 16, 18, 16, 16, 16, 
          17, 16, 16, 17, 17, 15, 14, 15, 16, 15, 15, 17, 16, 15, 16, 16, 15, 
          16, 15, 15, 14, 14, 13, 14, 14, 13, 14, 13, 12, 13, 13, 12, 12, 11, 
          26, 12, 11, 11, 10, 11, 10, 10, 9, 9, 10, 9, 9, 9, 9, 8, 8, 8, 9, 
          7, 8, 8, 7, 6, 7, 7, 9, 7, 7, 7, 8, 7, 6, 6, 7, 8, 7, 7, 7, 8, 8, 
          8, 8, 7, 7, 9, 8, 9, 8, 9, 9, 8, 8, 9, 9, 10, 9, 10, 10, 11, 10, 
          10, 11, 10, 10, 9, 10, 15, 10, 9, 10, 10, 10, 9, 9, 9, 10, 10, 9, 
          9, 10, 9, 9, 9, 10, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 
          9, 9, 9, 8, 9, 9, 8, 8, 8, 8, 7, 8, 7, 7, 7, 8, 7, 8, 8, 8, 7, 8, 
          8, 8, 8, 7, 7, 8, 7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 10, 
          10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 
          6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:40s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2670, " -> ", {10, 17, 16, 17, 17, 16, 17, 16,
         17, 16, 16, 15, 16, 16, 16, 17, 16, 15, 15, 15, 17, 17, 16, 17, 17, 
        16, 15, 15, 17, 16, 17, 16, 15, 15, 16, 15, 16, 15, 16, 18, 16, 16, 
        16, 17, 16, 16, 17, 17, 15, 14, 15, 16, 15, 15, 17, 16, 15, 16, 16, 
        15, 16, 15, 15, 14, 14, 13, 14, 14, 13, 14, 13, 12, 13, 13, 12, 12, 
        11, 26, 12, 11, 11, 10, 11, 10, 10, 9, 9, 10, 9, 9, 9, 9, 8, 8, 8, 9, 
        7, 8, 8, 7, 6, 7, 7, 9, 7, 7, 7, 8, 7, 6, 6, 7, 8, 7, 7, 7, 8, 8, 8, 
        8, 7, 7, 9, 8, 9, 8, 9, 9, 8, 8, 9, 9, 10, 9, 10, 10, 11, 10, 10, 11, 
        10, 10, 9, 10, 15, 10, 9, 10, 10, 10, 9, 9, 9, 10, 10, 9, 9, 10, 9, 9,
         9, 10, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 8, 9,
         9, 8, 8, 8, 8, 7, 8, 7, 7, 7, 8, 7, 8, 8, 8, 7, 8, 8, 8, 8, 7, 7, 8, 
        7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 10, 10, 9, 8, 10, 9, 9, 
        10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 
        5, 6, 5, 4, 4, 4, 3}, " pairs per type", " in ", "10:40s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2673\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 16, 16, 17, 17, 16, 17, 15, 17, 
          20, 16, 15, 16, 16, 16, 17, 16, 15, 15, 15, 17, 17, 15, 16, 17, 16, 
          18, 15, 17, 16, 16, 16, 15, 15, 16, 15, 15, 15, 17, 15, 15, 16, 16, 
          17, 15, 15, 16, 16, 15, 14, 16, 15, 15, 15, 17, 16, 15, 16, 15, 15, 
          16, 15, 15, 14, 14, 13, 14, 14, 13, 13, 13, 12, 13, 13, 12, 11, 11, 
          26, 12, 17, 11, 10, 11, 10, 10, 9, 9, 10, 9, 8, 9, 8, 8, 8, 8, 9, 
          7, 8, 8, 7, 6, 7, 7, 9, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 8, 7, 7, 8, 
          7, 8, 7, 7, 8, 8, 9, 8, 9, 9, 8, 9, 9, 9, 10, 14, 10, 10, 11, 10, 
          10, 10, 10, 10, 9, 9, 10, 10, 9, 9, 9, 10, 9, 9, 9, 10, 10, 9, 9, 
          10, 10, 9, 9, 10, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 9, 8, 9, 19, 8, 
          9, 9, 9, 8, 9, 9, 8, 8, 7, 8, 7, 8, 7, 7, 7, 8, 7, 8, 8, 8, 7, 8, 
          8, 8, 7, 7, 7, 7, 7, 7, 14, 6, 7, 7, 7, 6, 7, 7, 6, 6, 7, 6, 6, 10, 
          10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 
          6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:45s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2673, " -> ", {10, 16, 16, 17, 17, 16, 17, 15,
         17, 20, 16, 15, 16, 16, 16, 17, 16, 15, 15, 15, 17, 17, 15, 16, 17, 
        16, 18, 15, 17, 16, 16, 16, 15, 15, 16, 15, 15, 15, 17, 15, 15, 16, 
        16, 17, 15, 15, 16, 16, 15, 14, 16, 15, 15, 15, 17, 16, 15, 16, 15, 
        15, 16, 15, 15, 14, 14, 13, 14, 14, 13, 13, 13, 12, 13, 13, 12, 11, 
        11, 26, 12, 17, 11, 10, 11, 10, 10, 9, 9, 10, 9, 8, 9, 8, 8, 8, 8, 9, 
        7, 8, 8, 7, 6, 7, 7, 9, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 8, 7, 7, 8, 7, 
        8, 7, 7, 8, 8, 9, 8, 9, 9, 8, 9, 9, 9, 10, 14, 10, 10, 11, 10, 10, 10,
         10, 10, 9, 9, 10, 10, 9, 9, 9, 10, 9, 9, 9, 10, 10, 9, 9, 10, 10, 9, 
        9, 10, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 9, 8, 9, 19, 8, 9, 9, 9, 8, 9,
         9, 8, 8, 7, 8, 7, 8, 7, 7, 7, 8, 7, 8, 8, 8, 7, 8, 8, 8, 7, 7, 7, 7, 
        7, 7, 14, 6, 7, 7, 7, 6, 7, 7, 6, 6, 7, 6, 6, 10, 10, 9, 8, 10, 9, 9, 
        10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 
        5, 6, 5, 4, 4, 4, 3}, " pairs per type", " in ", "10:45s", "]"],
      Editable->False]], "Print"],

Cell["\<\
Internal counter overflow.
Some expression evaluations may not run to their
final fixed points.  Try redoing your computation
on a 64-bit enhanced version of Mathematica.\
\>", "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2679\
\[InvisibleSpace]" -> "\[InvisibleSpace]{11, 16, 16, 17, 17, 16, 16, 15, 15, 
          16, 16, 15, 16, 15, 16, 16, 15, 16, 18, 15, 17, 51, 16, 16, 15, 16, 
          15, 15, 17, 16, 16, 15, 15, 15, 15, 15, 14, 14, 16, 15, 15, 15, 16, 
          17, 15, 14, 16, 16, 15, 14, 15, 15, 15, 14, 16, 15, 15, 16, 15, 15, 
          15, 15, 15, 14, 14, 13, 14, 14, 13, 14, 13, 12, 13, 13, 12, 26, 11, 
          26, 12, 10, 11, 10, 11, 10, 10, 9, 9, 10, 9, 8, 9, 8, 8, 8, 8, 9, 
          7, 8, 8, 7, 6, 7, 7, 8, 7, 7, 7, 6, 7, 6, 6, 7, 6, 7, 7, 7, 7, 8, 
          7, 8, 7, 7, 8, 7, 8, 8, 9, 9, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 
          10, 10, 10, 9, 9, 9, 10, 9, 9, 9, 10, 9, 9, 9, 10, 10, 9, 9, 10, 
          10, 9, 9, 10, 18, 9, 9, 8, 9, 9, 9, 8, 9, 9, 8, 9, 8, 9, 8, 8, 9, 
          9, 9, 8, 9, 8, 8, 8, 7, 8, 7, 8, 7, 7, 7, 8, 7, 8, 8, 8, 7, 8, 17, 
          8, 7, 7, 7, 8, 7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 10, 10, 
          9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 
          7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:36s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2679, " -> ", {11, 16, 16, 17, 17, 16, 16, 15,
         15, 16, 16, 15, 16, 15, 16, 16, 15, 16, 18, 15, 17, 51, 16, 16, 15, 
        16, 15, 15, 17, 16, 16, 15, 15, 15, 15, 15, 14, 14, 16, 15, 15, 15, 
        16, 17, 15, 14, 16, 16, 15, 14, 15, 15, 15, 14, 16, 15, 15, 16, 15, 
        15, 15, 15, 15, 14, 14, 13, 14, 14, 13, 14, 13, 12, 13, 13, 12, 26, 
        11, 26, 12, 10, 11, 10, 11, 10, 10, 9, 9, 10, 9, 8, 9, 8, 8, 8, 8, 9, 
        7, 8, 8, 7, 6, 7, 7, 8, 7, 7, 7, 6, 7, 6, 6, 7, 6, 7, 7, 7, 7, 8, 7, 
        8, 7, 7, 8, 7, 8, 8, 9, 9, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 
        10, 10, 9, 9, 9, 10, 9, 9, 9, 10, 9, 9, 9, 10, 10, 9, 9, 10, 10, 9, 9,
         10, 18, 9, 9, 8, 9, 9, 9, 8, 9, 9, 8, 9, 8, 9, 8, 8, 9, 9, 9, 8, 9, 
        8, 8, 8, 7, 8, 7, 8, 7, 7, 7, 8, 7, 8, 8, 8, 7, 8, 17, 8, 7, 7, 7, 8, 
        7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 10, 10, 9, 8, 10, 9, 9, 
        10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 
        5, 6, 5, 4, 4, 4, 3}, " pairs per type", " in ", "10:36s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2653\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 16, 16, 17, 41, 15, 16, 13, 15, 
          16, 16, 15, 16, 15, 16, 17, 15, 16, 16, 18, 16, 17, 15, 17, 15, 16, 
          15, 15, 15, 16, 16, 15, 15, 15, 15, 15, 14, 15, 21, 17, 15, 15, 16, 
          17, 15, 14, 16, 16, 15, 14, 15, 15, 15, 14, 17, 15, 15, 16, 15, 15, 
          15, 15, 15, 14, 14, 13, 14, 13, 13, 14, 13, 12, 13, 13, 12, 12, 11, 
          26, 12, 10, 11, 10, 11, 10, 9, 9, 9, 10, 9, 8, 9, 8, 8, 8, 8, 9, 7, 
          8, 8, 6, 6, 7, 7, 14, 7, 7, 7, 6, 7, 6, 6, 7, 6, 7, 8, 7, 7, 8, 7, 
          8, 7, 7, 8, 7, 8, 8, 9, 8, 8, 8, 9, 9, 16, 9, 10, 10, 10, 10, 10, 
          10, 10, 10, 9, 9, 9, 10, 9, 9, 9, 10, 9, 9, 8, 10, 10, 9, 9, 10, 
          10, 9, 9, 10, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 8, 9, 8, 15, 8, 8, 9, 
          9, 9, 8, 9, 8, 8, 8, 7, 8, 7, 8, 7, 7, 7, 8, 7, 8, 8, 8, 7, 7, 8, 
          8, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 10, 10, 
          9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 
          7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:54s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2653, " -> ", {10, 16, 16, 17, 41, 15, 16, 13,
         15, 16, 16, 15, 16, 15, 16, 17, 15, 16, 16, 18, 16, 17, 15, 17, 15, 
        16, 15, 15, 15, 16, 16, 15, 15, 15, 15, 15, 14, 15, 21, 17, 15, 15, 
        16, 17, 15, 14, 16, 16, 15, 14, 15, 15, 15, 14, 17, 15, 15, 16, 15, 
        15, 15, 15, 15, 14, 14, 13, 14, 13, 13, 14, 13, 12, 13, 13, 12, 12, 
        11, 26, 12, 10, 11, 10, 11, 10, 9, 9, 9, 10, 9, 8, 9, 8, 8, 8, 8, 9, 
        7, 8, 8, 6, 6, 7, 7, 14, 7, 7, 7, 6, 7, 6, 6, 7, 6, 7, 8, 7, 7, 8, 7, 
        8, 7, 7, 8, 7, 8, 8, 9, 8, 8, 8, 9, 9, 16, 9, 10, 10, 10, 10, 10, 10, 
        10, 10, 9, 9, 9, 10, 9, 9, 9, 10, 9, 9, 8, 10, 10, 9, 9, 10, 10, 9, 9,
         10, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 8, 9, 8, 15, 8, 8, 9, 9, 9, 8, 9, 
        8, 8, 8, 7, 8, 7, 8, 7, 7, 7, 8, 7, 8, 8, 8, 7, 7, 8, 8, 7, 7, 7, 7, 
        7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 10, 10, 9, 8, 10, 9, 9, 
        10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 
        5, 6, 5, 4, 4, 4, 3}, " pairs per type", " in ", "10:54s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2577\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 16, 16, 19, 15, 15, 16, 15, 15, 
          15, 16, 15, 14, 15, 16, 14, 15, 16, 15, 15, 15, 15, 16, 17, 15, 16, 
          15, 15, 15, 16, 19, 15, 15, 15, 14, 15, 14, 15, 16, 14, 14, 15, 16, 
          16, 15, 14, 16, 15, 15, 14, 15, 15, 15, 14, 16, 15, 14, 16, 15, 15, 
          14, 15, 15, 13, 13, 13, 14, 13, 13, 14, 13, 11, 13, 13, 12, 11, 10, 
          26, 11, 11, 11, 10, 11, 10, 9, 9, 9, 10, 9, 8, 8, 8, 8, 7, 8, 9, 
          13, 8, 7, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 7, 6, 7, 8, 7, 7, 8, 
          7, 8, 7, 7, 8, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 10, 10, 10, 10, 10, 
          10, 9, 10, 9, 9, 10, 10, 9, 9, 9, 10, 9, 9, 8, 10, 10, 9, 9, 10, 9, 
          9, 9, 10, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 8, 9, 8, 9, 8, 8, 9, 9, 9, 
          8, 8, 8, 8, 8, 7, 8, 7, 7, 7, 7, 7, 8, 7, 8, 7, 8, 7, 7, 8, 8, 7, 
          7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 10, 10, 9, 8, 
          10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 
          6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:45s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2577, " -> ", {10, 16, 16, 19, 15, 15, 16, 15,
         15, 15, 16, 15, 14, 15, 16, 14, 15, 16, 15, 15, 15, 15, 16, 17, 15, 
        16, 15, 15, 15, 16, 19, 15, 15, 15, 14, 15, 14, 15, 16, 14, 14, 15, 
        16, 16, 15, 14, 16, 15, 15, 14, 15, 15, 15, 14, 16, 15, 14, 16, 15, 
        15, 14, 15, 15, 13, 13, 13, 14, 13, 13, 14, 13, 11, 13, 13, 12, 11, 
        10, 26, 11, 11, 11, 10, 11, 10, 9, 9, 9, 10, 9, 8, 8, 8, 8, 7, 8, 9, 
        13, 8, 7, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 7, 6, 7, 8, 7, 7, 8, 7, 
        8, 7, 7, 8, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 10, 10, 10, 10, 10, 10, 
        9, 10, 9, 9, 10, 10, 9, 9, 9, 10, 9, 9, 8, 10, 10, 9, 9, 10, 9, 9, 9, 
        10, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 8, 9, 8, 9, 8, 8, 9, 9, 9, 8, 8, 8, 
        8, 8, 7, 8, 7, 7, 7, 7, 7, 8, 7, 8, 7, 8, 7, 7, 8, 8, 7, 7, 7, 6, 7, 
        7, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 10, 10, 9, 8, 10, 9, 9, 10, 
        10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6,
         5, 4, 4, 4, 3}, " pairs per type", " in ", "10:45s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2614\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 15, 16, 20, 15, 15, 15, 13, 15, 
          14, 16, 15, 15, 15, 16, 14, 15, 16, 17, 32, 45, 15, 16, 16, 15, 16, 
          15, 15, 16, 16, 16, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 
          15, 15, 14, 16, 15, 15, 14, 14, 14, 14, 14, 16, 15, 14, 16, 14, 15, 
          14, 14, 15, 14, 13, 13, 14, 13, 12, 14, 13, 11, 12, 13, 12, 11, 10, 
          26, 11, 11, 11, 10, 11, 10, 9, 9, 9, 10, 9, 8, 8, 8, 8, 7, 7, 8, 7, 
          8, 7, 5, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 7, 7, 7, 
          7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 10, 10, 10, 10, 10, 
          10, 9, 10, 9, 9, 9, 10, 9, 9, 8, 10, 25, 9, 8, 10, 10, 9, 9, 10, 9, 
          9, 9, 10, 9, 8, 9, 8, 9, 9, 9, 8, 9, 9, 8, 9, 8, 9, 8, 8, 9, 9, 9, 
          8, 8, 8, 8, 8, 7, 8, 8, 8, 6, 7, 7, 8, 7, 7, 7, 8, 7, 7, 8, 8, 7, 
          7, 7, 6, 7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 10, 10, 9, 8, 
          10, 9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 
          6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:44s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2614, " -> ", {10, 15, 16, 20, 15, 15, 15, 13,
         15, 14, 16, 15, 15, 15, 16, 14, 15, 16, 17, 32, 45, 15, 16, 16, 15, 
        16, 15, 15, 16, 16, 16, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 
        15, 15, 15, 14, 16, 15, 15, 14, 14, 14, 14, 14, 16, 15, 14, 16, 14, 
        15, 14, 14, 15, 14, 13, 13, 14, 13, 12, 14, 13, 11, 12, 13, 12, 11, 
        10, 26, 11, 11, 11, 10, 11, 10, 9, 9, 9, 10, 9, 8, 8, 8, 8, 7, 7, 8, 
        7, 8, 7, 5, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 7, 7, 7, 
        7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 10, 10, 10, 10, 10, 10, 
        9, 10, 9, 9, 9, 10, 9, 9, 8, 10, 25, 9, 8, 10, 10, 9, 9, 10, 9, 9, 9, 
        10, 9, 8, 9, 8, 9, 9, 9, 8, 9, 9, 8, 9, 8, 9, 8, 8, 9, 9, 9, 8, 8, 8, 
        8, 8, 7, 8, 8, 8, 6, 7, 7, 8, 7, 7, 7, 8, 7, 7, 8, 8, 7, 7, 7, 6, 7, 
        7, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 6, 6, 10, 10, 9, 8, 10, 9, 9, 10, 
        10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6,
         5, 4, 4, 4, 3}, " pairs per type", " in ", "10:44s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2529\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 16, 15, 16, 15, 15, 15, 13, 15, 
          14, 16, 15, 15, 15, 15, 14, 15, 16, 15, 15, 15, 14, 15, 16, 15, 16, 
          15, 15, 16, 16, 15, 15, 15, 15, 13, 15, 14, 14, 15, 14, 19, 14, 15, 
          16, 15, 14, 16, 15, 15, 14, 14, 15, 14, 14, 16, 15, 14, 16, 14, 15, 
          14, 14, 15, 14, 13, 13, 14, 13, 12, 12, 13, 11, 12, 13, 12, 11, 10, 
          26, 11, 11, 11, 10, 11, 10, 8, 9, 9, 10, 9, 8, 8, 8, 8, 7, 7, 8, 7, 
          8, 7, 5, 6, 7, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 7, 7, 7, 
          7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 9, 9, 10, 10, 10, 10, 
          9, 10, 9, 9, 9, 10, 9, 9, 8, 10, 9, 9, 8, 10, 9, 9, 9, 10, 9, 9, 9, 
          10, 9, 8, 9, 8, 9, 9, 9, 8, 9, 9, 8, 9, 8, 9, 8, 8, 8, 9, 8, 8, 8, 
          8, 8, 8, 7, 7, 7, 8, 6, 7, 7, 8, 7, 7, 7, 8, 7, 7, 8, 8, 7, 7, 7, 
          6, 7, 7, 7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 
          9, 9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 
          6, 6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:41s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2529, " -> ", {10, 16, 15, 16, 15, 15, 15, 13,
         15, 14, 16, 15, 15, 15, 15, 14, 15, 16, 15, 15, 15, 14, 15, 16, 15, 
        16, 15, 15, 16, 16, 15, 15, 15, 15, 13, 15, 14, 14, 15, 14, 19, 14, 
        15, 16, 15, 14, 16, 15, 15, 14, 14, 15, 14, 14, 16, 15, 14, 16, 14, 
        15, 14, 14, 15, 14, 13, 13, 14, 13, 12, 12, 13, 11, 12, 13, 12, 11, 
        10, 26, 11, 11, 11, 10, 11, 10, 8, 9, 9, 10, 9, 8, 8, 8, 8, 7, 7, 8, 
        7, 8, 7, 5, 6, 7, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 7, 7, 7, 
        7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 9, 9, 10, 10, 10, 10, 9, 
        10, 9, 9, 9, 10, 9, 9, 8, 10, 9, 9, 8, 10, 9, 9, 9, 10, 9, 9, 9, 10, 
        9, 8, 9, 8, 9, 9, 9, 8, 9, 9, 8, 9, 8, 9, 8, 8, 8, 9, 8, 8, 8, 8, 8, 
        8, 7, 7, 7, 8, 6, 7, 7, 8, 7, 7, 7, 8, 7, 7, 8, 8, 7, 7, 7, 6, 7, 7, 
        7, 6, 7, 7, 7, 6, 7, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10,
         10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5,
         4, 4, 4, 3}, " pairs per type", " in ", "10:41s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2556\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 15, 15, 15, 14, 27, 15, 13, 14, 
          14, 16, 15, 15, 14, 15, 14, 15, 16, 15, 15, 15, 14, 15, 16, 15, 16, 
          15, 15, 15, 16, 15, 15, 15, 15, 13, 14, 14, 14, 15, 14, 14, 14, 15, 
          16, 15, 17, 16, 15, 27, 14, 14, 14, 14, 14, 15, 14, 14, 16, 13, 15, 
          14, 14, 15, 14, 14, 13, 14, 13, 12, 13, 13, 11, 12, 13, 12, 11, 10, 
          26, 11, 10, 11, 17, 11, 9, 8, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 8, 13, 
          8, 7, 5, 6, 7, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 7, 18, 7, 
          7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 10, 10, 9, 9, 
          10, 9, 9, 9, 10, 9, 9, 8, 10, 9, 9, 8, 10, 9, 9, 9, 10, 9, 9, 9, 9, 
          9, 8, 9, 8, 9, 9, 9, 8, 9, 9, 8, 8, 8, 9, 8, 8, 8, 9, 9, 8, 8, 7, 
          8, 8, 7, 7, 7, 7, 6, 7, 7, 8, 7, 7, 7, 8, 7, 7, 8, 8, 7, 7, 7, 6, 
          6, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 6, 6, 6, 6, 10, 10, 9, 8, 10, 9, 
          9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 
          6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:48s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2556, " -> ", {10, 15, 15, 15, 14, 27, 15, 13,
         14, 14, 16, 15, 15, 14, 15, 14, 15, 16, 15, 15, 15, 14, 15, 16, 15, 
        16, 15, 15, 15, 16, 15, 15, 15, 15, 13, 14, 14, 14, 15, 14, 14, 14, 
        15, 16, 15, 17, 16, 15, 27, 14, 14, 14, 14, 14, 15, 14, 14, 16, 13, 
        15, 14, 14, 15, 14, 14, 13, 14, 13, 12, 13, 13, 11, 12, 13, 12, 11, 
        10, 26, 11, 10, 11, 17, 11, 9, 8, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 8, 13,
         8, 7, 5, 6, 7, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 7, 18, 7, 7,
         7, 7, 7, 7, 8, 8, 8, 8, 8, 7, 9, 8, 9, 9, 9, 9, 9, 10, 10, 9, 9, 10, 
        9, 9, 9, 10, 9, 9, 8, 10, 9, 9, 8, 10, 9, 9, 9, 10, 9, 9, 9, 9, 9, 8, 
        9, 8, 9, 9, 9, 8, 9, 9, 8, 8, 8, 9, 8, 8, 8, 9, 9, 8, 8, 7, 8, 8, 7, 
        7, 7, 7, 6, 7, 7, 8, 7, 7, 7, 8, 7, 7, 8, 8, 7, 7, 7, 6, 6, 7, 7, 6, 
        7, 7, 7, 6, 6, 7, 6, 6, 6, 6, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 
        8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 
        4, 4, 3}, " pairs per type", " in ", "10:48s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2508\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 15, 14, 15, 14, 15, 15, 13, 14, 
          14, 18, 14, 15, 14, 14, 33, 14, 16, 14, 13, 15, 14, 15, 16, 15, 16, 
          15, 15, 15, 16, 15, 15, 15, 15, 13, 13, 14, 14, 15, 14, 14, 14, 15, 
          15, 15, 14, 15, 15, 15, 14, 14, 13, 14, 14, 15, 13, 14, 15, 13, 15, 
          14, 13, 15, 13, 14, 13, 14, 13, 12, 12, 13, 11, 12, 13, 12, 11, 10, 
          26, 11, 10, 11, 10, 11, 9, 8, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 8, 7, 
          8, 7, 6, 6, 7, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 6, 7, 7, 
          7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 9, 9, 9, 10, 10, 9, 9, 
          9, 9, 9, 9, 10, 9, 9, 8, 10, 9, 9, 9, 10, 9, 9, 9, 10, 9, 9, 9, 9, 
          9, 7, 9, 8, 9, 9, 9, 8, 9, 9, 8, 8, 8, 9, 8, 8, 8, 9, 9, 8, 8, 8, 
          8, 8, 7, 7, 7, 7, 6, 7, 7, 8, 7, 7, 7, 8, 7, 7, 8, 7, 7, 7, 7, 6, 
          6, 7, 7, 6, 7, 7, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 
          9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 
          6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:14s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2508, " -> ", {10, 15, 14, 15, 14, 15, 15, 13,
         14, 14, 18, 14, 15, 14, 14, 33, 14, 16, 14, 13, 15, 14, 15, 16, 15, 
        16, 15, 15, 15, 16, 15, 15, 15, 15, 13, 13, 14, 14, 15, 14, 14, 14, 
        15, 15, 15, 14, 15, 15, 15, 14, 14, 13, 14, 14, 15, 13, 14, 15, 13, 
        15, 14, 13, 15, 13, 14, 13, 14, 13, 12, 12, 13, 11, 12, 13, 12, 11, 
        10, 26, 11, 10, 11, 10, 11, 9, 8, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 8, 7, 
        8, 7, 6, 6, 7, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 6, 7, 7, 7, 
        7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 9, 9, 9, 10, 10, 9, 9, 9, 9,
         9, 9, 10, 9, 9, 8, 10, 9, 9, 9, 10, 9, 9, 9, 10, 9, 9, 9, 9, 9, 7, 9,
         8, 9, 9, 9, 8, 9, 9, 8, 8, 8, 9, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 7, 7, 
        7, 7, 6, 7, 7, 8, 7, 7, 7, 8, 7, 7, 8, 7, 7, 7, 7, 6, 6, 7, 7, 6, 7, 
        7, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 
        9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 
        4, 3}, " pairs per type", " in ", "10:14s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2480\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 15, 14, 15, 14, 15, 15, 13, 14, 
          14, 16, 14, 15, 14, 13, 13, 15, 16, 13, 13, 15, 14, 15, 16, 15, 15, 
          14, 15, 15, 16, 15, 15, 15, 14, 13, 13, 14, 14, 15, 14, 14, 14, 15, 
          15, 15, 13, 14, 15, 15, 14, 14, 13, 14, 14, 14, 13, 14, 15, 13, 14, 
          14, 13, 14, 14, 14, 12, 14, 13, 12, 12, 13, 11, 12, 13, 12, 11, 10, 
          26, 10, 10, 11, 19, 10, 9, 8, 9, 8, 9, 9, 8, 8, 7, 8, 7, 7, 7, 7, 
          8, 7, 5, 6, 7, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 6, 6, 7, 
          7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 9, 9, 9, 10, 10, 9, 9, 
          9, 9, 9, 9, 10, 9, 9, 8, 10, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 8, 8, 
          9, 7, 16, 8, 8, 9, 9, 8, 9, 9, 8, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 8, 
          8, 8, 7, 7, 7, 7, 6, 7, 7, 8, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 6, 
          6, 7, 7, 6, 7, 7, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 
          9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 
          6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:26s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2480, " -> ", {10, 15, 14, 15, 14, 15, 15, 13,
         14, 14, 16, 14, 15, 14, 13, 13, 15, 16, 13, 13, 15, 14, 15, 16, 15, 
        15, 14, 15, 15, 16, 15, 15, 15, 14, 13, 13, 14, 14, 15, 14, 14, 14, 
        15, 15, 15, 13, 14, 15, 15, 14, 14, 13, 14, 14, 14, 13, 14, 15, 13, 
        14, 14, 13, 14, 14, 14, 12, 14, 13, 12, 12, 13, 11, 12, 13, 12, 11, 
        10, 26, 10, 10, 11, 19, 10, 9, 8, 9, 8, 9, 9, 8, 8, 7, 8, 7, 7, 7, 7, 
        8, 7, 5, 6, 7, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 
        7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 9, 9, 9, 10, 10, 9, 9, 9, 9,
         9, 9, 10, 9, 9, 8, 10, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 8, 8, 9, 7, 16,
         8, 8, 9, 9, 8, 9, 9, 8, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 7, 7, 
        7, 7, 6, 7, 7, 8, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 6, 6, 7, 7, 6, 7, 
        7, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 
        9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 
        4, 3}, " pairs per type", " in ", "10:26s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2451\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 15, 14, 15, 14, 15, 14, 15, 14, 
          14, 16, 14, 15, 14, 13, 13, 15, 16, 14, 13, 15, 14, 15, 16, 14, 15, 
          14, 15, 15, 16, 15, 15, 15, 14, 13, 13, 14, 14, 15, 14, 14, 14, 15, 
          15, 15, 14, 14, 15, 15, 14, 14, 13, 14, 14, 14, 13, 14, 15, 13, 13, 
          14, 13, 14, 13, 13, 12, 13, 12, 12, 12, 13, 11, 12, 13, 11, 11, 10, 
          26, 10, 10, 11, 10, 10, 9, 8, 9, 8, 8, 9, 8, 8, 8, 8, 7, 7, 7, 7, 
          8, 7, 5, 6, 7, 6, 7, 5, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 6, 6, 7, 
          7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 8, 9, 9, 10, 10, 9, 9, 
          9, 9, 9, 9, 10, 8, 9, 8, 10, 9, 9, 8, 10, 9, 9, 9, 9, 9, 9, 8, 8, 
          9, 7, 9, 8, 8, 9, 9, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 7, 
          8, 8, 7, 7, 7, 7, 6, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 
          6, 7, 7, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 
          9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 
          6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:45s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2451, " -> ", {10, 15, 14, 15, 14, 15, 14, 15,
         14, 14, 16, 14, 15, 14, 13, 13, 15, 16, 14, 13, 15, 14, 15, 16, 14, 
        15, 14, 15, 15, 16, 15, 15, 15, 14, 13, 13, 14, 14, 15, 14, 14, 14, 
        15, 15, 15, 14, 14, 15, 15, 14, 14, 13, 14, 14, 14, 13, 14, 15, 13, 
        13, 14, 13, 14, 13, 13, 12, 13, 12, 12, 12, 13, 11, 12, 13, 11, 11, 
        10, 26, 10, 10, 11, 10, 10, 9, 8, 9, 8, 8, 9, 8, 8, 8, 8, 7, 7, 7, 7, 
        8, 7, 5, 6, 7, 6, 7, 5, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 
        7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 8, 9, 9, 10, 10, 9, 9, 9, 9,
         9, 9, 10, 8, 9, 8, 10, 9, 9, 8, 10, 9, 9, 9, 9, 9, 9, 8, 8, 9, 7, 9, 
        8, 8, 9, 9, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 7, 8, 8, 7, 7, 
        7, 7, 6, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 6, 6, 
        7, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 
        9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 
        4, 3}, " pairs per type", " in ", "10:45s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2449\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 15, 14, 15, 14, 15, 14, 15, 14, 
          14, 15, 14, 15, 14, 13, 13, 15, 16, 13, 13, 14, 14, 15, 16, 13, 15, 
          14, 15, 15, 16, 14, 15, 27, 14, 13, 13, 13, 14, 14, 14, 14, 14, 15, 
          15, 15, 14, 14, 15, 15, 14, 14, 13, 14, 14, 14, 13, 14, 15, 13, 14, 
          14, 13, 14, 13, 13, 12, 13, 12, 12, 12, 12, 11, 12, 13, 11, 11, 10, 
          26, 10, 10, 11, 10, 10, 9, 8, 9, 8, 8, 9, 8, 8, 7, 8, 7, 7, 7, 7, 
          8, 6, 5, 6, 7, 6, 7, 5, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 6, 6, 7, 
          7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 8, 9, 9, 10, 10, 9, 9, 
          9, 9, 9, 9, 10, 8, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 
          7, 9, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 7, 9, 8, 8, 8, 7, 8, 
          8, 7, 7, 7, 7, 6, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 
          7, 7, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 
          10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 
          5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:24s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2449, " -> ", {10, 15, 14, 15, 14, 15, 14, 15,
         14, 14, 15, 14, 15, 14, 13, 13, 15, 16, 13, 13, 14, 14, 15, 16, 13, 
        15, 14, 15, 15, 16, 14, 15, 27, 14, 13, 13, 13, 14, 14, 14, 14, 14, 
        15, 15, 15, 14, 14, 15, 15, 14, 14, 13, 14, 14, 14, 13, 14, 15, 13, 
        14, 14, 13, 14, 13, 13, 12, 13, 12, 12, 12, 12, 11, 12, 13, 11, 11, 
        10, 26, 10, 10, 11, 10, 10, 9, 8, 9, 8, 8, 9, 8, 8, 7, 8, 7, 7, 7, 7, 
        8, 6, 5, 6, 7, 6, 7, 5, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 
        7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 8, 9, 9, 10, 10, 9, 9, 9, 9,
         9, 9, 10, 8, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 7, 9, 8,
         8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 7, 9, 8, 8, 8, 7, 8, 8, 7, 7, 7, 
        7, 6, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 6, 6, 7, 
        6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 
        6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
        3}, " pairs per type", " in ", "10:24s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2438\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 15, 14, 15, 14, 15, 14, 15, 14, 
          14, 15, 14, 15, 14, 14, 13, 15, 16, 13, 13, 14, 14, 15, 16, 13, 15, 
          14, 15, 14, 15, 14, 15, 15, 14, 13, 13, 13, 14, 14, 14, 14, 14, 13, 
          14, 14, 14, 14, 14, 15, 14, 22, 13, 14, 14, 14, 13, 13, 15, 13, 14, 
          14, 13, 14, 13, 13, 12, 13, 12, 12, 12, 13, 11, 12, 12, 11, 11, 10, 
          26, 10, 10, 11, 10, 11, 9, 8, 9, 8, 8, 9, 8, 8, 7, 8, 7, 7, 7, 7, 
          8, 6, 5, 6, 6, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 6, 6, 6, 
          7, 7, 7, 7, 7, 7, 8, 7, 8, 8, 8, 9, 8, 9, 16, 8, 9, 9, 10, 10, 9, 
          8, 9, 9, 9, 9, 10, 8, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 
          9, 7, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 7, 9, 8, 8, 8, 7, 
          7, 8, 7, 7, 7, 7, 6, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 6, 6, 
          6, 7, 7, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 
          9, 10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 
          6, 5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:39s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2438, " -> ", {10, 15, 14, 15, 14, 15, 14, 15,
         14, 14, 15, 14, 15, 14, 14, 13, 15, 16, 13, 13, 14, 14, 15, 16, 13, 
        15, 14, 15, 14, 15, 14, 15, 15, 14, 13, 13, 13, 14, 14, 14, 14, 14, 
        13, 14, 14, 14, 14, 14, 15, 14, 22, 13, 14, 14, 14, 13, 13, 15, 13, 
        14, 14, 13, 14, 13, 13, 12, 13, 12, 12, 12, 13, 11, 12, 12, 11, 11, 
        10, 26, 10, 10, 11, 10, 11, 9, 8, 9, 8, 8, 9, 8, 8, 7, 8, 7, 7, 7, 7, 
        8, 6, 5, 6, 6, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 6, 6, 6, 7, 
        7, 7, 7, 7, 7, 8, 7, 8, 8, 8, 9, 8, 9, 16, 8, 9, 9, 10, 10, 9, 8, 9, 
        9, 9, 9, 10, 8, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 7, 8, 
        8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 7, 9, 8, 8, 8, 7, 7, 8, 7, 7, 
        7, 7, 6, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 6, 6, 6, 7, 7, 6, 6, 
        7, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 
        9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 
        4, 3}, " pairs per type", " in ", "10:39s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2416\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 15, 14, 15, 14, 15, 14, 13, 14, 
          14, 15, 14, 14, 14, 13, 13, 15, 15, 13, 13, 14, 14, 15, 16, 13, 15, 
          14, 15, 14, 16, 15, 15, 15, 14, 13, 13, 13, 14, 14, 14, 14, 13, 13, 
          14, 14, 14, 14, 14, 15, 14, 13, 13, 14, 14, 14, 13, 13, 14, 13, 14, 
          14, 13, 14, 13, 13, 12, 13, 12, 12, 12, 12, 10, 12, 13, 11, 11, 10, 
          26, 10, 10, 11, 9, 10, 9, 8, 8, 8, 8, 9, 8, 8, 13, 8, 7, 7, 7, 7, 
          8, 6, 5, 6, 6, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 6, 6, 7, 
          7, 7, 7, 7, 7, 8, 8, 7, 8, 8, 8, 9, 8, 9, 9, 8, 9, 9, 10, 10, 9, 8, 
          9, 9, 9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 
          7, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 8, 8, 7, 7, 
          7, 7, 7, 7, 7, 6, 7, 7, 8, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 6, 6, 
          7, 7, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 
          10, 10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 
          5, 5, 6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:48s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2416, " -> ", {10, 15, 14, 15, 14, 15, 14, 13,
         14, 14, 15, 14, 14, 14, 13, 13, 15, 15, 13, 13, 14, 14, 15, 16, 13, 
        15, 14, 15, 14, 16, 15, 15, 15, 14, 13, 13, 13, 14, 14, 14, 14, 13, 
        13, 14, 14, 14, 14, 14, 15, 14, 13, 13, 14, 14, 14, 13, 13, 14, 13, 
        14, 14, 13, 14, 13, 13, 12, 13, 12, 12, 12, 12, 10, 12, 13, 11, 11, 
        10, 26, 10, 10, 11, 9, 10, 9, 8, 8, 8, 8, 9, 8, 8, 13, 8, 7, 7, 7, 7, 
        8, 6, 5, 6, 6, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 
        7, 7, 7, 7, 8, 8, 7, 8, 8, 8, 9, 8, 9, 9, 8, 9, 9, 10, 10, 9, 8, 9, 9,
         9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 7, 8, 8, 
        8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 9, 8, 8, 8, 7, 7, 7, 7, 7, 7, 
        7, 6, 7, 7, 8, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 6, 6, 7, 7, 6, 6, 7, 
        6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 
        6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
        3}, " pairs per type", " in ", "10:48s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2422\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 37, 14, 15, 14, 14, 14, 13, 14, 
          14, 15, 14, 14, 14, 13, 13, 15, 15, 13, 13, 14, 14, 14, 16, 13, 15, 
          14, 15, 14, 15, 15, 15, 15, 14, 13, 13, 13, 14, 14, 14, 14, 13, 13, 
          14, 14, 14, 14, 14, 15, 14, 13, 13, 14, 14, 14, 13, 13, 14, 13, 13, 
          14, 13, 14, 13, 13, 12, 13, 12, 12, 12, 12, 10, 12, 12, 11, 11, 10, 
          26, 10, 10, 11, 9, 10, 9, 8, 8, 8, 8, 9, 8, 8, 7, 8, 7, 7, 7, 6, 7, 
          6, 5, 6, 6, 6, 7, 5, 7, 7, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 7, 7, 
          7, 7, 6, 7, 7, 8, 7, 8, 8, 8, 8, 8, 9, 9, 8, 9, 9, 9, 10, 9, 9, 9, 
          8, 9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 7, 
          8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 7, 7, 7, 
          7, 7, 7, 6, 6, 7, 7, 8, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 13, 6, 7, 
          6, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 
          10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 
          6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:47s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2422, " -> ", {10, 37, 14, 15, 14, 14, 14, 13,
         14, 14, 15, 14, 14, 14, 13, 13, 15, 15, 13, 13, 14, 14, 14, 16, 13, 
        15, 14, 15, 14, 15, 15, 15, 15, 14, 13, 13, 13, 14, 14, 14, 14, 13, 
        13, 14, 14, 14, 14, 14, 15, 14, 13, 13, 14, 14, 14, 13, 13, 14, 13, 
        13, 14, 13, 14, 13, 13, 12, 13, 12, 12, 12, 12, 10, 12, 12, 11, 11, 
        10, 26, 10, 10, 11, 9, 10, 9, 8, 8, 8, 8, 9, 8, 8, 7, 8, 7, 7, 7, 6, 
        7, 6, 5, 6, 6, 6, 7, 5, 7, 7, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 7, 7, 
        7, 7, 6, 7, 7, 8, 7, 8, 8, 8, 8, 8, 9, 9, 8, 9, 9, 9, 10, 9, 9, 9, 8, 
        9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 7, 8, 8, 
        8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 
        6, 6, 7, 7, 8, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 13, 6, 7, 6, 6, 6, 7, 
        6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 
        6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
        3}, " pairs per type", " in ", "10:47s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2386\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 15, 14, 15, 14, 14, 14, 15, 14, 
          14, 15, 14, 14, 14, 13, 13, 15, 15, 13, 13, 15, 14, 14, 16, 13, 14, 
          14, 14, 13, 15, 15, 15, 14, 13, 13, 13, 13, 14, 14, 13, 14, 13, 13, 
          14, 14, 14, 14, 14, 15, 14, 13, 13, 14, 14, 14, 13, 13, 13, 13, 14, 
          14, 13, 14, 13, 13, 12, 13, 12, 12, 12, 12, 10, 12, 13, 11, 11, 10, 
          26, 10, 10, 11, 9, 10, 9, 8, 8, 8, 8, 9, 8, 8, 7, 8, 7, 6, 7, 6, 8, 
          6, 5, 6, 6, 6, 7, 5, 7, 7, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 7, 7, 
          7, 7, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 8, 9, 8, 10, 10, 9, 9, 9, 
          8, 9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 7, 
          8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 7, 6, 
          7, 7, 7, 6, 6, 7, 7, 8, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 6, 6, 7, 
          6, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 
          10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 
          6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:31s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2386, " -> ", {10, 15, 14, 15, 14, 14, 14, 15,
         14, 14, 15, 14, 14, 14, 13, 13, 15, 15, 13, 13, 15, 14, 14, 16, 13, 
        14, 14, 14, 13, 15, 15, 15, 14, 13, 13, 13, 13, 14, 14, 13, 14, 13, 
        13, 14, 14, 14, 14, 14, 15, 14, 13, 13, 14, 14, 14, 13, 13, 13, 13, 
        14, 14, 13, 14, 13, 13, 12, 13, 12, 12, 12, 12, 10, 12, 13, 11, 11, 
        10, 26, 10, 10, 11, 9, 10, 9, 8, 8, 8, 8, 9, 8, 8, 7, 8, 7, 6, 7, 6, 
        8, 6, 5, 6, 6, 6, 7, 5, 7, 7, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 7, 7, 
        7, 7, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 8, 9, 8, 10, 10, 9, 9, 9, 8,
         9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 7, 8, 8, 
        8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 7, 7, 6, 7, 7, 7, 
        6, 6, 7, 7, 8, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 7, 
        6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 
        6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
        3}, " pairs per type", " in ", "10:31s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2368\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 15, 14, 14, 14, 14, 14, 13, 14, 
          14, 15, 14, 16, 14, 13, 13, 14, 15, 13, 13, 15, 14, 14, 15, 13, 13, 
          14, 14, 13, 14, 15, 13, 13, 13, 13, 13, 13, 14, 14, 13, 13, 13, 13, 
          13, 14, 14, 14, 13, 14, 14, 13, 13, 14, 14, 14, 13, 13, 13, 13, 14, 
          14, 12, 13, 13, 13, 12, 13, 12, 12, 12, 12, 10, 12, 13, 11, 11, 10, 
          26, 10, 10, 10, 9, 10, 9, 8, 8, 8, 8, 9, 8, 8, 7, 8, 7, 7, 7, 6, 8, 
          6, 5, 6, 6, 6, 7, 5, 7, 7, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 7, 7, 
          7, 7, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 8, 9, 9, 8, 10, 9, 9, 8, 
          8, 9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 9, 8, 
          8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 7, 6, 
          7, 7, 7, 6, 6, 7, 7, 8, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 6, 6, 7, 
          6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 
          10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 
          6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:32s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2368, " -> ", {10, 15, 14, 14, 14, 14, 14, 13,
         14, 14, 15, 14, 16, 14, 13, 13, 14, 15, 13, 13, 15, 14, 14, 15, 13, 
        13, 14, 14, 13, 14, 15, 13, 13, 13, 13, 13, 13, 14, 14, 13, 13, 13, 
        13, 13, 14, 14, 14, 13, 14, 14, 13, 13, 14, 14, 14, 13, 13, 13, 13, 
        14, 14, 12, 13, 13, 13, 12, 13, 12, 12, 12, 12, 10, 12, 13, 11, 11, 
        10, 26, 10, 10, 10, 9, 10, 9, 8, 8, 8, 8, 9, 8, 8, 7, 8, 7, 7, 7, 6, 
        8, 6, 5, 6, 6, 6, 7, 5, 7, 7, 6, 6, 6, 6, 7, 6, 6, 7, 7, 6, 6, 7, 7, 
        7, 7, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 8, 9, 9, 8, 10, 9, 9, 8, 8, 
        9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 9, 8, 8, 8, 
        8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 8, 7, 7, 7, 6, 7, 7, 7, 
        6, 6, 7, 7, 8, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 6, 
        6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 
        6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
        3}, " pairs per type", " in ", "10:32s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2356\
\[InvisibleSpace]" -> "\[InvisibleSpace]{10, 15, 14, 13, 14, 14, 14, 13, 14, 
          14, 15, 14, 14, 14, 13, 13, 14, 14, 13, 13, 14, 13, 14, 15, 13, 13, 
          14, 14, 12, 14, 15, 13, 13, 13, 13, 13, 13, 14, 14, 13, 13, 14, 15, 
          13, 14, 14, 14, 13, 15, 14, 13, 13, 14, 14, 14, 13, 13, 13, 13, 15, 
          14, 12, 13, 13, 13, 12, 12, 12, 12, 12, 12, 10, 12, 12, 11, 11, 10, 
          26, 10, 10, 10, 9, 10, 9, 8, 8, 8, 8, 9, 8, 8, 7, 8, 7, 6, 7, 6, 8, 
          6, 5, 6, 6, 6, 7, 5, 7, 7, 6, 6, 6, 5, 6, 6, 6, 7, 7, 6, 6, 7, 7, 
          7, 7, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 8, 9, 8, 8, 10, 9, 9, 8, 
          8, 9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 9, 8, 8, 9, 7, 
          8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 7, 8, 7, 7, 7, 6, 
          7, 7, 7, 6, 6, 7, 7, 8, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 6, 6, 7, 
          6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 
          10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 
          6, 5, 4, 4, 4, 
          3}\[InvisibleSpace]" pairs per type"\[InvisibleSpace]" in "\
\[InvisibleSpace]"10:38s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2356, " -> ", {10, 15, 14, 13, 14, 14, 14, 13,
         14, 14, 15, 14, 14, 14, 13, 13, 14, 14, 13, 13, 14, 13, 14, 15, 13, 
        13, 14, 14, 12, 14, 15, 13, 13, 13, 13, 13, 13, 14, 14, 13, 13, 14, 
        15, 13, 14, 14, 14, 13, 15, 14, 13, 13, 14, 14, 14, 13, 13, 13, 13, 
        15, 14, 12, 13, 13, 13, 12, 12, 12, 12, 12, 12, 10, 12, 12, 11, 11, 
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        9, 9, 9, 8, 9, 8, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 9, 8, 8, 9, 7, 8, 8, 
        8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 7, 8, 7, 7, 7, 6, 7, 7, 7, 
        6, 6, 7, 7, 8, 7, 7, 7, 6, 7, 7, 7, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 6, 
        6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 
        6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
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      Editable->False]], "Print"],

Cell[BoxData[
    InterpretationBox[\("[makeTypeActionPairs: "\[InvisibleSpace]2336\
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        9, 9, 9, 8, 9, 8, 8, 8, 9, 8, 8, 9, 9, 8, 8, 8, 9, 8, 8, 9, 7, 8, 8, 
        8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 6, 7, 7, 7, 
        6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 6, 
        6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 
        6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
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      Editable->False]], "Print"],

Cell[BoxData[
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        6, 6, 6, 7, 6, 6, 6, 5, 6, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 
        6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
        3}, " pairs per type", " in ", "10:33s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
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          10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 
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\[InvisibleSpace]"10:60s"\[InvisibleSpace]"]"\),
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        12, 13, 14, 13, 14, 13, 14, 14, 13, 13, 14, 14, 14, 12, 13, 13, 13, 
        14, 14, 12, 13, 13, 13, 12, 12, 12, 12, 12, 12, 10, 12, 10, 11, 11, 
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        7, 7, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 8, 9, 8, 8, 9, 9, 8, 8, 8, 
        9, 8, 9, 8, 9, 8, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 
        8, 7, 8, 8, 7, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 6, 7, 7, 6, 
        6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 
        6, 6, 6, 7, 6, 6, 6, 5, 5, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 
        6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
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      Editable->False]], "Print"],

Cell[BoxData[
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          6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 10, 10, 9, 8, 10, 9, 9, 10, 
          10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 
          6, 5, 4, 4, 4, 
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\[InvisibleSpace]"10:42s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
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         14, 13, 14, 14, 14, 14, 13, 13, 13, 14, 13, 13, 14, 14, 14, 14, 13, 
        13, 14, 14, 12, 14, 14, 13, 12, 13, 12, 13, 13, 13, 14, 13, 13, 13, 
        12, 13, 14, 13, 14, 13, 14, 14, 13, 13, 14, 13, 13, 12, 13, 13, 13, 
        14, 14, 12, 13, 13, 14, 12, 12, 12, 12, 12, 12, 10, 12, 10, 11, 11, 
        10, 26, 10, 10, 9, 9, 10, 9, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 5, 6, 6, 7,
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         7, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 7, 9, 8, 8, 9, 9, 8, 8, 8, 8, 
        9, 9, 8, 9, 8, 8, 8, 9, 8, 8, 9, 9, 8, 16, 8, 8, 8, 8, 9, 8, 8, 8, 8, 
        7, 8, 8, 7, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 6, 7, 7, 6, 6, 
        6, 7, 7, 7, 7, 7, 6, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 6, 6, 
        6, 6, 6, 6, 6, 6, 5, 5, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 
        7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 3}, 
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      Editable->False]], "Print"],

Cell[BoxData[
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          10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 
          6, 5, 4, 4, 4, 
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\[InvisibleSpace]"10:44s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
      "[makeTypeActionPairs: ", 2300, " -> ", {10, 13, 14, 13, 14, 14, 14, 13,
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        13, 13, 14, 12, 14, 14, 13, 12, 13, 12, 13, 13, 13, 14, 13, 13, 13, 
        12, 13, 14, 13, 14, 13, 14, 14, 13, 13, 14, 13, 13, 12, 13, 13, 13, 
        15, 12, 12, 13, 13, 12, 12, 12, 12, 12, 12, 12, 10, 12, 10, 11, 11, 
        10, 26, 10, 10, 10, 9, 10, 9, 8, 8, 8, 8, 8, 8, 7, 7, 8, 7, 5, 6, 6, 
        7, 6, 5, 6, 6, 6, 7, 5, 6, 7, 6, 5, 6, 5, 5, 6, 6, 7, 7, 6, 6, 7, 6, 
        6, 7, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 8, 9, 8, 8, 9, 9, 8, 8, 8, 
        9, 8, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 7, 8, 8, 9, 8, 8, 8, 
        8, 7, 8, 8, 7, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 6, 7, 7, 6, 
        6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 
        6, 6, 6, 5, 6, 6, 6, 5, 5, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 
        6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 
        3}, " pairs per type", " in ", "10:44s", "]"],
      Editable->False]], "Print"],

Cell[BoxData[
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          7, 7, 6, 6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 7, 
          6, 6, 6, 5, 6, 6, 6, 5, 6, 6, 6, 5, 5, 10, 10, 9, 8, 10, 9, 9, 10, 
          10, 10, 8, 9, 6, 7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 
          6, 5, 4, 4, 4, 
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\[InvisibleSpace]"10:50s"\[InvisibleSpace]"]"\),
      SequenceForm[ 
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         14, 13, 14, 14, 14, 14, 13, 13, 13, 14, 13, 13, 14, 13, 14, 14, 13, 
        13, 13, 14, 12, 14, 14, 13, 12, 13, 12, 13, 12, 12, 14, 13, 13, 13, 
        12, 13, 14, 13, 14, 13, 14, 14, 13, 13, 14, 13, 13, 12, 12, 13, 13, 
        14, 12, 12, 13, 13, 12, 18, 12, 12, 12, 12, 11, 10, 12, 10, 11, 11, 
        10, 26, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 5, 6, 6, 7, 
        6, 5, 6, 6, 6, 7, 5, 6, 7, 6, 5, 6, 5, 5, 6, 6, 7, 6, 6, 6, 6, 6, 6, 
        7, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 7, 9, 8, 8, 9, 9, 8, 8, 7, 9, 
        8, 8, 8, 9, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 9, 7, 8, 8, 8, 
        7, 8, 8, 7, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 6, 7, 7, 6, 6, 
        6, 7, 7, 7, 7, 7, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 5, 6, 
        6, 6, 5, 6, 6, 6, 5, 5, 10, 10, 9, 8, 10, 9, 9, 10, 10, 10, 8, 9, 6, 
        7, 8, 9, 8, 8, 6, 8, 6, 8, 6, 7, 6, 6, 6, 6, 5, 5, 6, 5, 4, 4, 4, 3}, 
        " pairs per type", " in ", "10:50s", "]"],
      Editable->False]], "Print"]
}, Open  ]],

Cell[BoxData[
    \(DeleteFile["\<E:\\equilibria\\psHash.m\>"]; 
    Save["\<E:\\equilibria\\psHash.m\>", psHash]\)], "Input"]
}, Open  ]],

Cell[CellGroupData[{

Cell["Scratch", "Section"],

Cell[BoxData[{
    \(\(Options[avgPayoffRange] = {confidence \[Rule]  .99, 
          time \[Rule] 10};\)\), "\[IndentingNewLine]", 
    \(avgPayoffRange[myCost_, myBid_, otherBidFunc_, opts___] := 
      Module[{opt}, \[IndentingNewLine]opt[x_] := \(x /. {opts}\) /. 
            Options[avgPayoffRange]; \[IndentingNewLine]meanCI[
          opt[confidence], 
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