(* Content-type: application/vnd.wolfram.mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 9.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 157, 7] NotebookDataLength[ 3021597, 69564] NotebookOptionsPosition[ 2884518, 66931] NotebookOutlinePosition[ 3014629, 69339] CellTagsIndexPosition[ 3014547, 69334] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell["\<\ Characteristics of Musical Modes in WolframTones: A Visualization\ \>", "Title", CellChangeTimes->{{3.448190122176695*^9, 3.44819012385317*^9}, { 3.485609127497636*^9, 3.485609133015955*^9}, {3.514308355088097*^9, 3.514308374696691*^9}, 3.5146594348020153`*^9, 3.5146601881617107`*^9, { 3.5830850791954575`*^9, 3.5830851442784576`*^9}, {3.583242392429392*^9, 3.58324239564333*^9}}], Cell["Timothy M. Walker", "Subtitle", CellChangeTimes->{{3.485609136120798*^9, 3.4856091511532907`*^9}, { 3.4856091945334663`*^9, 3.485609199379443*^9}, {3.4951031489375*^9, 3.49510314984375*^9}, {3.495106455296875*^9, 3.495106455453125*^9}, { 3.5143083846926413`*^9, 3.514308395249558*^9}, 3.5443793532699003`*^9, { 3.583085180118458*^9, 3.5830851890754576`*^9}}], Cell["Ohio Dominican University", "Subsubtitle", CellChangeTimes->{ 3.483202458953512*^9, {3.495105345328125*^9, 3.495105347890625*^9}, { 3.49510644571875*^9, 3.495106448390625*^9}, {3.5143083980990458`*^9, 3.514308409442589*^9}, {3.5830851926204576`*^9, 3.5830851977074575`*^9}}] }, Open ]], Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Modes and Scales in Music", "Section", CellChangeTimes->{ 3.483202458955147*^9, {3.514308340990994*^9, 3.514308352103572*^9}, { 3.5830852246674576`*^9, 3.5830852313454576`*^9}}], Cell[CellGroupData[{ Cell["Musical Scales", "Subsection", CellChangeTimes->{{3.495209008234375*^9, 3.49520915653125*^9}, 3.495209919765625*^9, 3.4952106014375*^9, {3.4952106824375*^9, 3.495210832234375*^9}, 3.514307848543872*^9, {3.514308058576482*^9, 3.514308065607885*^9}, {3.51430841745117*^9, 3.514308419642997*^9}, { 3.5149152616687326`*^9, 3.514915280523456*^9}, {3.514915328702818*^9, 3.5149153375415287`*^9}, 3.514915444638068*^9, 3.5830853065294576`*^9, 3.5830853373627844`*^9, {3.5830853749985476`*^9, 3.583085382670315*^9}, 3.5830857595544395`*^9}], Cell["\<\ A musical scale can be defined as the set of notes (or pitch-classes) from \ which the melody is typically constructed. There are 12 notes per octave in \ the chromatic scale, but most scales use only a subset of them, with the \ musical root (or \[OpenCurlyDoubleQuote]tonic\[CloseCurlyDoubleQuote]) being \ the starting point of the scale. For example, a C-Major scale uses the notes \ C-D-E-F-G-A-B (the white notes on a piano) and not any of the (black key) \ sharps or flats. The output below shows a schematic representation of the \ notes used in a Major scale:\ \>", "Text", CellChangeTimes->{ 3.456086838387146*^9, {3.4560869541438713`*^9, 3.456086954143963*^9}, { 3.456087066546414*^9, 3.45608709565794*^9}, {3.583085496079439*^9, 3.583085560055439*^9}, {3.5830856854794393`*^9, 3.583085690126439*^9}, { 3.583085763178439*^9, 3.583085765793439*^9}, {3.5830860083544393`*^9, 3.583086090772127*^9}, {3.5830861377098207`*^9, 3.5830861417422237`*^9}, { 3.583086256545703*^9, 3.583086257137762*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"ArrayPlot", "[", RowBox[{ RowBox[{"{", RowBox[{"{", RowBox[{ "1", ",", "0", ",", "1", ",", "0", ",", "1", ",", "1", ",", "0", ",", "1", ",", "0", ",", "1", ",", "0", ",", "1"}], "}"}], "}"}], ",", RowBox[{"ImageSize", "\[Rule]", "Large"}]}], "]"}]], "Input", CellChangeTimes->{{3.514915953520713*^9, 3.514915970873322*^9}, { 3.5149160102168922`*^9, 3.5149160648448963`*^9}, {3.514916098665063*^9, 3.514916123807077*^9}, {3.583085589274439*^9, 3.583085654362439*^9}, 3.583085712263439*^9, 3.5830865430052633`*^9, 3.583087594061242*^9}], Cell[BoxData[ GraphicsBox[ RasterBox[{{0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0}}, {{0, 0}, {12, 1}}, {0, 1}], Frame->Automatic, FrameLabel->{None, None}, FrameTicks->{{None, None}, {None, None}}, ImageSize->Large]], "Output", CellChangeTimes->{3.5831566475581455`*^9, 3.5831589468682723`*^9, 3.58317910175333*^9, 3.583189006627639*^9, 3.583241897502906*^9, 3.590798206564567*^9, 3.5907986577740583`*^9, 3.591309847408245*^9, 3.59131326899019*^9, 3.5913184223294163`*^9, 3.5913188820754128`*^9, 3.591360577608038*^9}] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Enumeration", "Subsection", CellChangeTimes->{ 3.483202458956058*^9, {3.514309203943825*^9, 3.514309209861143*^9}, { 3.5828988539057336`*^9, 3.582898855976941*^9}, {3.5828994270394883`*^9, 3.5828994436692677`*^9}, {3.5828997163290663`*^9, 3.5828997185982933`*^9}, {3.583085977500439*^9, 3.5830859807714396`*^9}}], Cell["\<\ By considering each scale as a set of 12 Boolean values in which the first \ (the tonic) is always true, musical scales can be represented as a 12-bit \ binary number in the range 2048 - 4095. For example, the Major scale shown \ above would be given the value 101011010101 = 2773. All possible scales are \ visualized in the output below:\ \>", "Text", CellChangeTimes->{{3.5143080983732347`*^9, 3.514308102892667*^9}, { 3.514308469349834*^9, 3.5143084713580437`*^9}, {3.514308507511819*^9, 3.514308539833797*^9}, 3.583086178919941*^9, {3.5830862102880774`*^9, 3.5830862602740755`*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"ArrayPlot", "[", RowBox[{ RowBox[{"Map", "[", RowBox[{ RowBox[{ RowBox[{"IntegerDigits", "[", RowBox[{"#", ",", "2"}], "]"}], "&"}], ",", RowBox[{"Range", "[", RowBox[{"2048", ",", "4095"}], "]"}]}], "]"}], ",", RowBox[{"ImageSize", "\[Rule]", "Large"}], ",", RowBox[{"AspectRatio", "\[Rule]", "4"}]}], "]"}]], "Input", CellChangeTimes->{ 3.465068551108863*^9, {3.514308154821538*^9, 3.514308262778488*^9}, { 3.514308333486485*^9, 3.514308335950499*^9}, {3.514308786358725*^9, 3.514308788622732*^9}, 3.5830863132373714`*^9, {3.5830863645735044`*^9, 3.583086407838831*^9}, {3.5830864973022633`*^9, 3.5830864973582635`*^9}, { 3.583086532339264*^9, 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1}], AspectRatio->4, Frame->Automatic, FrameLabel->{None, None}, FrameTicks->{{None, None}, {None, None}}, ImageSize->Large]], "Output", CellChangeTimes->{3.58315664759715*^9, 3.5831589469082766`*^9, 3.58317910191846*^9, 3.583189006687001*^9, 3.583241897555221*^9, 3.590798206678237*^9, 3.59079865785828*^9, 3.5913098475146427`*^9, 3.591313269068098*^9, 3.591318422388465*^9, 3.591318882121147*^9, 3.591360577676244*^9}] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Musical Modes", "Subsection", CellChangeTimes->{{3.5830869442452636`*^9, 3.5830869577432632`*^9}}], Cell["\<\ However, many of the scalar patterns in the output above belong to groups \ that can be derived from one another by \[OpenCurlyDoubleQuote]rotating\ \[CloseCurlyDoubleQuote] the scale to start the root on a different scale \ degree. For example, the notes A-B-C-D-E-F-G define an A-minor scale, but \ they are the same (white key) notes as C-Major with a different starting \ point. So, the patterns 2773 (Major) and 2906 (Minor) belong to the same \ modal \[OpenCurlyDoubleQuote]family\[CloseCurlyDoubleQuote], as shown in the \ output below:\ \>", "Text", CellChangeTimes->{{3.5830869666462636`*^9, 3.5830869748702636`*^9}, { 3.5830870104722633`*^9, 3.583087277124264*^9}, {3.583087311082264*^9, 3.5830873987929306`*^9}, {3.5830878000232425`*^9, 3.5830878006222425`*^9}, { 3.5830878896962423`*^9, 3.5830878900162425`*^9}, {3.5832454467800293`*^9, 3.5832454476642103`*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Grid", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"ArrayPlot", "[", RowBox[{ RowBox[{"{", RowBox[{"Join", "[", RowBox[{ RowBox[{"2", "*", RowBox[{"IntegerDigits", "[", RowBox[{"2773", ",", "2"}], "]"}]}], ",", RowBox[{"IntegerDigits", "[", RowBox[{"2773", ",", "2"}], "]"}]}], "]"}], "}"}], ",", RowBox[{"ImageSize", "\[Rule]", "Large"}]}], "]"}], ",", "\"\\""}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"ArrayPlot", "[", RowBox[{ 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2, 2, 0, 2, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2}, { 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0}, {1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0}, { 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2}, { 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0}, { 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2}, {1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2}, { 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0}, { 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2}, { 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, $CellContext`indiv$$ = True, $CellContext`rep$$ = True, Typeset`show$$ = True, Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = "\"untitled\"", Typeset`specs$$ = {{{ Hold[$CellContext`comparison$$], {{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 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2, 0, 0, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2}, {1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, "Comparison Subset"}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, { 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1}, { 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, { 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1}, { 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, { 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1}, { 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0}, { 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0}, {2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}, { 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0}, { 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1}, { 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0}, { 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0}, {2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 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2, 2, 0, 0, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0}, { 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2}, { 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0}, { 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2}, { 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2}, {1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0}, { 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2}, { 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0}, { 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2}, { 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0}, { 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2}, { 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0}, { 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2}, { 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}} -> "At Least 7 Modes", {{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2}, {2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0}, {2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2}, {2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0}, {2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2}, {2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0}, {2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2}, {2, 0, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0}} -> "Well-Formed", {{2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2}, {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0}, { 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1}, {2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, { 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1}, {2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0}, { 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 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0, 0, 2, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0}, {2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2}, {1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2}, {1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2}, {1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0}, {1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2}, {1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, $CellContext`indiv$$ = True, $CellContext`rep$$ = True}, "ControllerVariables" :> { Hold[$CellContext`comparison$$, $CellContext`comparison$15671$$, False], Hold[$CellContext`indiv$$, $CellContext`indiv$15672$$, False], Hold[$CellContext`rep$$, $CellContext`rep$15673$$, False]}, "OtherVariables" :> { Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$, Typeset`skipInitDone$$}, "Body" :> Overlay[{ Row[ Map[ ArrayPlot[#, PixelConstrained -> 3, ColorRules -> { 1 -> RGBColor[0.5, 0.5, 0.5], 2 -> RGBColor[0, 0, 0]}]& , Partition[$CellContext`comparison$$, 128]], Spacer[1.5]], If[$CellContext`indiv$$, Row[ Map[ ArrayPlot[#, PixelConstrained -> 3, ColorFunction -> Function[{$CellContext`a}, Directive[Red, Opacity[$CellContext`a]]]]& , Log[$CellContext`splitIndiv + 1]], Spacer[1.5]]], If[$CellContext`rep$$, Row[ Map[ ArrayPlot[#, PixelConstrained -> 3, ColorFunction -> Function[{$CellContext`a}, Directive[Yellow, Opacity[$CellContext`a]]]]& , Log[$CellContext`splitEquivs + 1]], Spacer[1.5]]]}], "Specifications" :> {{{$CellContext`comparison$$, {{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 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0, 2, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0}, {1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2}, {1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, "Comparison Subset"}, {{{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0}, {2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 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0, 2, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0}, {1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2}, {1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0}, {2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2}, {1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}} -> "At Least 7 Modes", {{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0}, {1, 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{1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1}, {1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1}, {1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1}, {1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1}, {1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0}, {1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1}, {1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0}, {1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1}, {1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0}, {1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1}, {1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0}, {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}} -> "Well-Formed", {{2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2}, {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1}, {2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1}, {2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1}, {2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1}, {2, 0, 0, 0, 0, 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