How to invert MapIndexed on a ragged structure? How to construct a tree from rules? The Next CEO of Stack OverflowFrom a list to a list of rulesHow to partition a list according to a nested table structure?Visualize a tree structure using TreeGraphExplore a nested listDrop selection of columns from a ragged arrayHow to check if two nested lists have the same structure?Rule-based branching construction of listsHow to convert a tree in a list?Replacement Rule for “flattening” list whilst adding attributesRagged Transpose

Skipping indices in a product

What was the first Unix version to run on a microcomputer?

Would this house-rule that treats advantage as a +1 to the roll instead (and disadvantage as -1) and allows them to stack be balanced?

Why don't programming languages automatically manage the synchronous/asynchronous problem?

Sending manuscript to multiple publishers

If Nick Fury and Coulson already knew about aliens (Kree and Skrull) why did they wait until Thor's appearance to start making weapons?

Bold, vivid family

How to solve a differential equation with a term to a power?

Which tube will fit a -(700 x 25c) wheel?

What happens if you roll doubles 3 times then land on "Go to jail?"

Preparing Indesign booklet with .psd graphics for print

Would a galaxy be visible from outside, but nearby?

Indicator light circuit

Unreliable Magic - Is it worth it?

What does "Its cash flow is deeply negative" mean?

SQL Server 2016 - excessive memory grant warning on poor performing query

What flight has the highest ratio of time difference to flight time?

How to start emacs in "nothing" mode (`fundamental-mode`)

What's the best way to handle refactoring a big file?

Should I tutor a student who I know has cheated on their homework?

How to invert MapIndexed on a ragged structure? How to construct a tree from rules?

How did people program for Consoles with multiple CPUs?

MessageLevel in QGIS3

Why am I allowed to create multiple unique pointers from a single object?



How to invert MapIndexed on a ragged structure? How to construct a tree from rules?



The Next CEO of Stack OverflowFrom a list to a list of rulesHow to partition a list according to a nested table structure?Visualize a tree structure using TreeGraphExplore a nested listDrop selection of columns from a ragged arrayHow to check if two nested lists have the same structure?Rule-based branching construction of listsHow to convert a tree in a list?Replacement Rule for “flattening” list whilst adding attributesRagged Transpose










4












$begingroup$


I have an arbitrary ragged nested list-of-lists (a tree) like



A = a, b, c, d, e, f, g, h, i, j, k, l, m, n;


Its structure is given by the rules



B = Flatten[MapIndexed[#2 -> #1 &, A, -1]]



1, 1 -> a, 1, 2 -> b, 2, 1 -> c, 2, 2 -> d, 3, 1, 1, 1 -> e, 3, 1, 1, 2 -> f, 3, 1, 1, 3 -> g, 3, 1, 1, 4 -> h, 3, 1, 1, 5 -> i, 3, 1, 2, 1 -> j, 3, 1, 2, 2 -> k, 3, 1, 2, 3 -> l, 3, 2 -> m, 4 -> n




How can I invert this operation? How can I construct A solely from the information given in B?










share|improve this question









$endgroup$
















    4












    $begingroup$


    I have an arbitrary ragged nested list-of-lists (a tree) like



    A = a, b, c, d, e, f, g, h, i, j, k, l, m, n;


    Its structure is given by the rules



    B = Flatten[MapIndexed[#2 -> #1 &, A, -1]]



    1, 1 -> a, 1, 2 -> b, 2, 1 -> c, 2, 2 -> d, 3, 1, 1, 1 -> e, 3, 1, 1, 2 -> f, 3, 1, 1, 3 -> g, 3, 1, 1, 4 -> h, 3, 1, 1, 5 -> i, 3, 1, 2, 1 -> j, 3, 1, 2, 2 -> k, 3, 1, 2, 3 -> l, 3, 2 -> m, 4 -> n




    How can I invert this operation? How can I construct A solely from the information given in B?










    share|improve this question









    $endgroup$














      4












      4








      4





      $begingroup$


      I have an arbitrary ragged nested list-of-lists (a tree) like



      A = a, b, c, d, e, f, g, h, i, j, k, l, m, n;


      Its structure is given by the rules



      B = Flatten[MapIndexed[#2 -> #1 &, A, -1]]



      1, 1 -> a, 1, 2 -> b, 2, 1 -> c, 2, 2 -> d, 3, 1, 1, 1 -> e, 3, 1, 1, 2 -> f, 3, 1, 1, 3 -> g, 3, 1, 1, 4 -> h, 3, 1, 1, 5 -> i, 3, 1, 2, 1 -> j, 3, 1, 2, 2 -> k, 3, 1, 2, 3 -> l, 3, 2 -> m, 4 -> n




      How can I invert this operation? How can I construct A solely from the information given in B?










      share|improve this question









      $endgroup$




      I have an arbitrary ragged nested list-of-lists (a tree) like



      A = a, b, c, d, e, f, g, h, i, j, k, l, m, n;


      Its structure is given by the rules



      B = Flatten[MapIndexed[#2 -> #1 &, A, -1]]



      1, 1 -> a, 1, 2 -> b, 2, 1 -> c, 2, 2 -> d, 3, 1, 1, 1 -> e, 3, 1, 1, 2 -> f, 3, 1, 1, 3 -> g, 3, 1, 1, 4 -> h, 3, 1, 1, 5 -> i, 3, 1, 2, 1 -> j, 3, 1, 2, 2 -> k, 3, 1, 2, 3 -> l, 3, 2 -> m, 4 -> n




      How can I invert this operation? How can I construct A solely from the information given in B?







      list-manipulation data-structures trees






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 3 hours ago









      RomanRoman

      3,9661022




      3,9661022




















          3 Answers
          3






          active

          oldest

          votes


















          2












          $begingroup$

          Here's a procedural way:



          Block[
          Nothing,
          Module[
          m = Max[Length /@ Keys[B]], arr,
          arr = ConstantArray[Nothing, Max /@ Transpose[PadRight[#, m] & /@ Keys[B]]];
          Map[Function[arr[[Sequence @@ #[[1]]]] = #[[2]]], B];
          arr
          ]
          ]

          a, b, c, d, e, f, g, h, i, j, k, l, m, n





          share|improve this answer









          $endgroup$




















            1












            $begingroup$

            Here's an inefficient but reasonably simple way:



            groupMe[rules_] :=
            If[Head[rules[[1]]] === Rule,
            Values@GroupBy[
            rules,
            (#[[1, 1]] &) ->
            (If[Length[#[[1]]] === 1, #[[2]], #[[1, 2 ;;]] -> #[[2]]] &),
            groupMe
            ],
            rules[[1]]
            ]

            groupMe[B]

            a, b, c, d, e, f, g, h, i, j, k, l, m, n





            share|improve this answer









            $endgroup$




















              1












              $begingroup$

              Here's a convoluted way using pattern replacements:



              DeleteCases[
              With[m = Max[Length /@ Keys[B]],
              Array[
              List,
              Max /@ Transpose[PadRight[#, m] & /@ Keys[B]]
              ] /.
              Map[
              Fold[
              Insert[
              #, ___,
              _,
              Append[ConstantArray[1, #2], -1]] &,
              #[[1]],
              Range[m - Length[#[[1]]]]
              ] -> #[[2]] &,
              B
              ]
              ],
              __Integer,
              Infinity
              ]

              a, b, c, d, e, f, g, h, i, j, k, l, m, n





              share|improve this answer









              $endgroup$













                Your Answer





                StackExchange.ifUsing("editor", function ()
                return StackExchange.using("mathjaxEditing", function ()
                StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
                StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
                );
                );
                , "mathjax-editing");

                StackExchange.ready(function()
                var channelOptions =
                tags: "".split(" "),
                id: "387"
                ;
                initTagRenderer("".split(" "), "".split(" "), channelOptions);

                StackExchange.using("externalEditor", function()
                // Have to fire editor after snippets, if snippets enabled
                if (StackExchange.settings.snippets.snippetsEnabled)
                StackExchange.using("snippets", function()
                createEditor();
                );

                else
                createEditor();

                );

                function createEditor()
                StackExchange.prepareEditor(
                heartbeatType: 'answer',
                autoActivateHeartbeat: false,
                convertImagesToLinks: false,
                noModals: true,
                showLowRepImageUploadWarning: true,
                reputationToPostImages: null,
                bindNavPrevention: true,
                postfix: "",
                imageUploader:
                brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
                contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
                allowUrls: true
                ,
                onDemand: true,
                discardSelector: ".discard-answer"
                ,immediatelyShowMarkdownHelp:true
                );



                );













                draft saved

                draft discarded


















                StackExchange.ready(
                function ()
                StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f194217%2fhow-to-invert-mapindexed-on-a-ragged-structure-how-to-construct-a-tree-from-rul%23new-answer', 'question_page');

                );

                Post as a guest















                Required, but never shown

























                3 Answers
                3






                active

                oldest

                votes








                3 Answers
                3






                active

                oldest

                votes









                active

                oldest

                votes






                active

                oldest

                votes









                2












                $begingroup$

                Here's a procedural way:



                Block[
                Nothing,
                Module[
                m = Max[Length /@ Keys[B]], arr,
                arr = ConstantArray[Nothing, Max /@ Transpose[PadRight[#, m] & /@ Keys[B]]];
                Map[Function[arr[[Sequence @@ #[[1]]]] = #[[2]]], B];
                arr
                ]
                ]

                a, b, c, d, e, f, g, h, i, j, k, l, m, n





                share|improve this answer









                $endgroup$

















                  2












                  $begingroup$

                  Here's a procedural way:



                  Block[
                  Nothing,
                  Module[
                  m = Max[Length /@ Keys[B]], arr,
                  arr = ConstantArray[Nothing, Max /@ Transpose[PadRight[#, m] & /@ Keys[B]]];
                  Map[Function[arr[[Sequence @@ #[[1]]]] = #[[2]]], B];
                  arr
                  ]
                  ]

                  a, b, c, d, e, f, g, h, i, j, k, l, m, n





                  share|improve this answer









                  $endgroup$















                    2












                    2








                    2





                    $begingroup$

                    Here's a procedural way:



                    Block[
                    Nothing,
                    Module[
                    m = Max[Length /@ Keys[B]], arr,
                    arr = ConstantArray[Nothing, Max /@ Transpose[PadRight[#, m] & /@ Keys[B]]];
                    Map[Function[arr[[Sequence @@ #[[1]]]] = #[[2]]], B];
                    arr
                    ]
                    ]

                    a, b, c, d, e, f, g, h, i, j, k, l, m, n





                    share|improve this answer









                    $endgroup$



                    Here's a procedural way:



                    Block[
                    Nothing,
                    Module[
                    m = Max[Length /@ Keys[B]], arr,
                    arr = ConstantArray[Nothing, Max /@ Transpose[PadRight[#, m] & /@ Keys[B]]];
                    Map[Function[arr[[Sequence @@ #[[1]]]] = #[[2]]], B];
                    arr
                    ]
                    ]

                    a, b, c, d, e, f, g, h, i, j, k, l, m, n






                    share|improve this answer












                    share|improve this answer



                    share|improve this answer










                    answered 2 hours ago









                    b3m2a1b3m2a1

                    28.3k358163




                    28.3k358163





















                        1












                        $begingroup$

                        Here's an inefficient but reasonably simple way:



                        groupMe[rules_] :=
                        If[Head[rules[[1]]] === Rule,
                        Values@GroupBy[
                        rules,
                        (#[[1, 1]] &) ->
                        (If[Length[#[[1]]] === 1, #[[2]], #[[1, 2 ;;]] -> #[[2]]] &),
                        groupMe
                        ],
                        rules[[1]]
                        ]

                        groupMe[B]

                        a, b, c, d, e, f, g, h, i, j, k, l, m, n





                        share|improve this answer









                        $endgroup$

















                          1












                          $begingroup$

                          Here's an inefficient but reasonably simple way:



                          groupMe[rules_] :=
                          If[Head[rules[[1]]] === Rule,
                          Values@GroupBy[
                          rules,
                          (#[[1, 1]] &) ->
                          (If[Length[#[[1]]] === 1, #[[2]], #[[1, 2 ;;]] -> #[[2]]] &),
                          groupMe
                          ],
                          rules[[1]]
                          ]

                          groupMe[B]

                          a, b, c, d, e, f, g, h, i, j, k, l, m, n





                          share|improve this answer









                          $endgroup$















                            1












                            1








                            1





                            $begingroup$

                            Here's an inefficient but reasonably simple way:



                            groupMe[rules_] :=
                            If[Head[rules[[1]]] === Rule,
                            Values@GroupBy[
                            rules,
                            (#[[1, 1]] &) ->
                            (If[Length[#[[1]]] === 1, #[[2]], #[[1, 2 ;;]] -> #[[2]]] &),
                            groupMe
                            ],
                            rules[[1]]
                            ]

                            groupMe[B]

                            a, b, c, d, e, f, g, h, i, j, k, l, m, n





                            share|improve this answer









                            $endgroup$



                            Here's an inefficient but reasonably simple way:



                            groupMe[rules_] :=
                            If[Head[rules[[1]]] === Rule,
                            Values@GroupBy[
                            rules,
                            (#[[1, 1]] &) ->
                            (If[Length[#[[1]]] === 1, #[[2]], #[[1, 2 ;;]] -> #[[2]]] &),
                            groupMe
                            ],
                            rules[[1]]
                            ]

                            groupMe[B]

                            a, b, c, d, e, f, g, h, i, j, k, l, m, n






                            share|improve this answer












                            share|improve this answer



                            share|improve this answer










                            answered 3 hours ago









                            b3m2a1b3m2a1

                            28.3k358163




                            28.3k358163





















                                1












                                $begingroup$

                                Here's a convoluted way using pattern replacements:



                                DeleteCases[
                                With[m = Max[Length /@ Keys[B]],
                                Array[
                                List,
                                Max /@ Transpose[PadRight[#, m] & /@ Keys[B]]
                                ] /.
                                Map[
                                Fold[
                                Insert[
                                #, ___,
                                _,
                                Append[ConstantArray[1, #2], -1]] &,
                                #[[1]],
                                Range[m - Length[#[[1]]]]
                                ] -> #[[2]] &,
                                B
                                ]
                                ],
                                __Integer,
                                Infinity
                                ]

                                a, b, c, d, e, f, g, h, i, j, k, l, m, n





                                share|improve this answer









                                $endgroup$

















                                  1












                                  $begingroup$

                                  Here's a convoluted way using pattern replacements:



                                  DeleteCases[
                                  With[m = Max[Length /@ Keys[B]],
                                  Array[
                                  List,
                                  Max /@ Transpose[PadRight[#, m] & /@ Keys[B]]
                                  ] /.
                                  Map[
                                  Fold[
                                  Insert[
                                  #, ___,
                                  _,
                                  Append[ConstantArray[1, #2], -1]] &,
                                  #[[1]],
                                  Range[m - Length[#[[1]]]]
                                  ] -> #[[2]] &,
                                  B
                                  ]
                                  ],
                                  __Integer,
                                  Infinity
                                  ]

                                  a, b, c, d, e, f, g, h, i, j, k, l, m, n





                                  share|improve this answer









                                  $endgroup$















                                    1












                                    1








                                    1





                                    $begingroup$

                                    Here's a convoluted way using pattern replacements:



                                    DeleteCases[
                                    With[m = Max[Length /@ Keys[B]],
                                    Array[
                                    List,
                                    Max /@ Transpose[PadRight[#, m] & /@ Keys[B]]
                                    ] /.
                                    Map[
                                    Fold[
                                    Insert[
                                    #, ___,
                                    _,
                                    Append[ConstantArray[1, #2], -1]] &,
                                    #[[1]],
                                    Range[m - Length[#[[1]]]]
                                    ] -> #[[2]] &,
                                    B
                                    ]
                                    ],
                                    __Integer,
                                    Infinity
                                    ]

                                    a, b, c, d, e, f, g, h, i, j, k, l, m, n





                                    share|improve this answer









                                    $endgroup$



                                    Here's a convoluted way using pattern replacements:



                                    DeleteCases[
                                    With[m = Max[Length /@ Keys[B]],
                                    Array[
                                    List,
                                    Max /@ Transpose[PadRight[#, m] & /@ Keys[B]]
                                    ] /.
                                    Map[
                                    Fold[
                                    Insert[
                                    #, ___,
                                    _,
                                    Append[ConstantArray[1, #2], -1]] &,
                                    #[[1]],
                                    Range[m - Length[#[[1]]]]
                                    ] -> #[[2]] &,
                                    B
                                    ]
                                    ],
                                    __Integer,
                                    Infinity
                                    ]

                                    a, b, c, d, e, f, g, h, i, j, k, l, m, n






                                    share|improve this answer












                                    share|improve this answer



                                    share|improve this answer










                                    answered 3 hours ago









                                    b3m2a1b3m2a1

                                    28.3k358163




                                    28.3k358163



























                                        draft saved

                                        draft discarded
















































                                        Thanks for contributing an answer to Mathematica Stack Exchange!


                                        • Please be sure to answer the question. Provide details and share your research!

                                        But avoid


                                        • Asking for help, clarification, or responding to other answers.

                                        • Making statements based on opinion; back them up with references or personal experience.

                                        Use MathJax to format equations. MathJax reference.


                                        To learn more, see our tips on writing great answers.




                                        draft saved


                                        draft discarded














                                        StackExchange.ready(
                                        function ()
                                        StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f194217%2fhow-to-invert-mapindexed-on-a-ragged-structure-how-to-construct-a-tree-from-rul%23new-answer', 'question_page');

                                        );

                                        Post as a guest















                                        Required, but never shown





















































                                        Required, but never shown














                                        Required, but never shown












                                        Required, but never shown







                                        Required, but never shown

































                                        Required, but never shown














                                        Required, but never shown












                                        Required, but never shown







                                        Required, but never shown







                                        Popular posts from this blog

                                        How should I use the fbox command correctly to avoid producing a Bad Box message?How to put a long piece of text in a box?How to specify height and width of fboxIs there an arrayrulecolor-like command to change the rule color of fbox?What is the command to highlight bad boxes in pdf?Why does fbox sometimes place the box *over* the graphic image?how to put the text in the boxHow to create command for a box where text inside the box can automatically adjust?how can I make an fbox like command with certain color, shape and width of border?how to use fbox in align modeFbox increase the spacing between the box and it content (inner margin)how to change the box height of an equationWhat is the use of the hbox in a newcommand command?

                                        Doxepinum Nexus interni Notae | Tabula navigationis3158DB01142WHOa682390"Structural Analysis of the Histamine H1 Receptor""Transdermal and Topical Drug Administration in the Treatment of Pain""Antidepressants as antipruritic agents: A review"

                                        inputenc: Unicode character … not set up for use with LaTeX The Next CEO of Stack OverflowEntering Unicode characters in LaTeXHow to solve the `Package inputenc Error: Unicode char not set up for use with LaTeX` problem?solve “Unicode char is not set up for use with LaTeX” without special handling of every new interesting UTF-8 characterPackage inputenc Error: Unicode character ² (U+B2)(inputenc) not set up for use with LaTeX. acroI2C[I²C]package inputenc error unicode char (u + 190) not set up for use with latexPackage inputenc Error: Unicode char u8:′ not set up for use with LaTeX. 3′inputenc Error: Unicode char u8: not set up for use with LaTeX with G-BriefPackage Inputenc Error: Unicode char u8: not set up for use with LaTeXPackage inputenc Error: Unicode char ́ (U+301)(inputenc) not set up for use with LaTeX. includePackage inputenc Error: Unicode char ̂ (U+302)(inputenc) not set up for use with LaTeX. … $widehatleft (OA,AA' right )$Package inputenc Error: Unicode char â„¡ (U+2121)(inputenc) not set up for use with LaTeX. printbibliography[heading=bibintoc]Package inputenc Error: Unicode char − (U+2212)(inputenc) not set up for use with LaTeXPackage inputenc Error: Unicode character α (U+3B1) not set up for use with LaTeXPackage inputenc Error: Unicode characterError: ! Package inputenc Error: Unicode char ⊘ (U+2298)(inputenc) not set up for use with LaTeX