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magiccube / src / main / java / org / distorted / helpers / ScrambleStateGraphProducer.java @ 8db55f55

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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2021 Leszek Koltunski                                                               //
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//                                                                                               //
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// This file is part of Magic Cube.                                                              //
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//                                                                                               //
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// Magic Cube is free software: you can redistribute it and/or modify                            //
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// it under the terms of the GNU General Public License as published by                          //
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// the Free Software Foundation, either version 2 of the License, or                             //
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// (at your option) any later version.                                                           //
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//                                                                                               //
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// Magic Cube is distributed in the hope that it will be useful,                                 //
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// but WITHOUT ANY WARRANTY; without even the implied warranty of                                //
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the                                 //
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// GNU General Public License for more details.                                                  //
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//                                                                                               //
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// You should have received a copy of the GNU General Public License                             //
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// along with Magic Cube.  If not, see <http://www.gnu.org/licenses/>.                           //
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///////////////////////////////////////////////////////////////////////////////////////////////////
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package org.distorted.helpers;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// producer of the ScrambleStateGraph - but only for a single Twisty Puzzle, the 'BandagedEvil'.
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import java.util.ArrayList;
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public class ScrambleStateGraphProducer
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{
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  private static final int INVALID_MOVE = -1;
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  private static final int CORNER_S = 0;
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  private static final int CORNER_X = 1;
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  private static final int CORNER_Y = 2;
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  private static final int CORNER_Z = 3;
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  private static final int CENTER_0 = 0;
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  private static final int CENTER_1 = 1;
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  private static final int CENTER_2 = 2;
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  private static final int CENTER_3 = 3;
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  private int mID;
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  private final int[] mMoves;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  public ScrambleStateGraphProducer(int id)
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    {
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    mID = id;
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    mMoves = createMoves(mID);
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  public static void computeGraph()
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    {
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    ArrayList<ScrambleStateGraphProducer> graph;
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    int id = 0;
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    int id1 = setCenter(id  , CENTER_2, 0);
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    int id2 = setCenter(id1 , CENTER_2, 1);
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    int id3 = setCenter(id2 , CENTER_3, 2);
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    int id4 = setCenter(id3 , CENTER_2, 3);
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    int id5 = setCorner(id4 , CORNER_X, 0);
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    int id6 = setCorner(id5 , CORNER_Y, 1);
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    int id7 = setCorner(id6 , CORNER_X, 2);
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    int id8 = setCorner(id7 , CORNER_Z, 3);
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    int id9 = setCorner(id8 , CORNER_Y, 4);
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    int id10= setCorner(id9 , CORNER_Y, 5);
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    int id11= setCorner(id10, CORNER_S, 6);
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    int id12= setCorner(id11, CORNER_Z, 7);
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    ScrambleStateGraphProducer bsg = new ScrambleStateGraphProducer(id12);
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    graph = new ArrayList<>();
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    graph.add(bsg);
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    insertChildren(graph,id12);
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    pruneGraph(graph);
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    remapGraph(graph);
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    int num = graph.size();
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    android.util.Log.e("D", "\n"+num+" states\n");
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    for(int i=0; i<num; i++)
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      {
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      bsg = graph.get(i);
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      android.util.Log.e("D", formatMoves(bsg));
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      }
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static void insertChildren(ArrayList<ScrambleStateGraphProducer> list, int id)
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    {
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    ScrambleStateGraphProducer bsg = findState(list,id);
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    if( bsg==null )
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      {
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      android.util.Log.e("D", "error: "+id+" doesn't exist");
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      return;
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      }
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    for(int i=0; i<12; i++)
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      {
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      int move = bsg.getMove(i);
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      if( move!=INVALID_MOVE )
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        {
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        ScrambleStateGraphProducer tmp = findState(list,move);
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        if( tmp==null )
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          {
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          tmp = new ScrambleStateGraphProducer(move);
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          list.add(tmp);
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          insertChildren(list,move);
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          }
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        }
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      }
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static void pruneGraph(ArrayList<ScrambleStateGraphProducer> list)
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    {
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    int num = list.size(), numAxis;
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    boolean pruned = false;
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    ScrambleStateGraphProducer bsg;
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    for(int i=0; i<num; i++)
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      {
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      bsg = list.get(i);
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      numAxis = bsg.numAxis();
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      if( numAxis<2 )
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        {
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        list.remove(i);
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        int id = bsg.getID();
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        pruned = true;
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        remapID(list,id,INVALID_MOVE);
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        break;
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        }
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      }
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    if( pruned ) pruneGraph(list);
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static void remapGraph(ArrayList<ScrambleStateGraphProducer> list)
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    {
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    int id, num = list.size();
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    ScrambleStateGraphProducer bsg;
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    for(int i=0; i<num; i++ )
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      {
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      bsg = list.get(i);
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      id = bsg.getID();
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      bsg.setID(i);
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      remapID(list,id,i);
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      }
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static void remapID(ArrayList<ScrambleStateGraphProducer> list, int id, int newId)
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    {
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    ScrambleStateGraphProducer bsg;
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    int size = list.size();
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    for(int i=0; i<size; i++)
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      {
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      bsg = list.get(i);
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      for(int j=0; j<12; j++)
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        {
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        if( bsg.getMove(j)==id ) bsg.setMove(j,newId);
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        }
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      }
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static ScrambleStateGraphProducer findState(ArrayList<ScrambleStateGraphProducer> list, int id)
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    {
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    ScrambleStateGraphProducer bsg;
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    int num = list.size();
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    for(int i=0; i<num; i++)
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      {
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      bsg= list.get(i);
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      if( bsg.getID() == id ) return bsg;
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      }
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    return null;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static String formatMoves(ScrambleStateGraphProducer bsg)
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    {
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    String x = getTable(bsg,0);
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    String y = getTable(bsg,3);
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    String z = getTable(bsg,6);
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    return "    new ScrambleStateGraph( new int[][] { "+x+", "+y+", "+z+" } ),";
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static String getTable(ScrambleStateGraphProducer sc, int index)
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    {
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    String ret = "";
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    if( index==0 || index==3 )
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      {
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      int m0 = sc.getMove(index  );
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      int m1 = sc.getMove(index+1);
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      int m2 = sc.getMove(index+2);
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      if( m0==INVALID_MOVE && m1==INVALID_MOVE && m2==INVALID_MOVE ) return formatL("{}");
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      if( m0!=INVALID_MOVE ) ret += formatRet(ret,2, 1,m0);
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      if( m1!=INVALID_MOVE ) ret += formatRet(ret,2, 2,m1);
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      if( m2!=INVALID_MOVE ) ret += formatRet(ret,2,-1,m2);
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      }
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    else
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      {
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      int m0 = sc.getMove(index  );
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      int m1 = sc.getMove(index+1);
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      int m2 = sc.getMove(index+2);
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      int m3 = sc.getMove(index+3);
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      int m4 = sc.getMove(index+4);
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      int m5 = sc.getMove(index+5);
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      if( m0==INVALID_MOVE && m1==INVALID_MOVE && m2==INVALID_MOVE &&
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          m3==INVALID_MOVE && m4==INVALID_MOVE && m5==INVALID_MOVE  )
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        {
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        return formatL("{}");
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        }
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      if( m0!=INVALID_MOVE ) ret += formatRet(ret,0, 1,m0);
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      if( m1!=INVALID_MOVE ) ret += formatRet(ret,0, 2,m1);
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      if( m2!=INVALID_MOVE ) ret += formatRet(ret,0,-1,m2);
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      if( m3!=INVALID_MOVE ) ret += formatRet(ret,2, 1,m3);
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      if( m4!=INVALID_MOVE ) ret += formatRet(ret,2, 2,m4);
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      if( m5!=INVALID_MOVE ) ret += formatRet(ret,2,-1,m5);
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      }
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    return formatL("{" + ret + "}");
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static String formatRet(String str, int row, int angle, int id)
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    {
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    String ret = str.length()!=0 ? ",":"";
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    ret += row;
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    ret += angle<0 ? "," : ", ";
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    ret += angle;
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         if( id< 10 ) ret += (",  "+id);
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    else if( id<100 ) ret += (", " +id);
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    else              ret += (","  +id);
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    return ret;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static final int LENGTH = 28;
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  private static String formatL(String input)
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    {
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    int len = input.length();
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    String ret = input;
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    for(int i=0 ;i<LENGTH-len; i++) ret += " ";
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    return ret;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private int getID()
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    {
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    return mID;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private void setID(int id)
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    {
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    mID = id;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private int getMove(int index)
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    {
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    return (index>=0 && index<12) ? mMoves[index] : -1;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private int numAxis()
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    {
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    int num = 0;
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    if( mMoves[ 0]!=INVALID_MOVE || mMoves[ 1]!=INVALID_MOVE || mMoves[ 2]!=INVALID_MOVE ) num++;
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    if( mMoves[ 3]!=INVALID_MOVE || mMoves[ 4]!=INVALID_MOVE || mMoves[ 5]!=INVALID_MOVE ) num++;
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    if( mMoves[ 6]!=INVALID_MOVE || mMoves[ 7]!=INVALID_MOVE || mMoves[ 8]!=INVALID_MOVE ) num++;
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    if( mMoves[ 9]!=INVALID_MOVE || mMoves[10]!=INVALID_MOVE || mMoves[11]!=INVALID_MOVE ) num++;
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    return num;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private void setMove(int index, int newMove)
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    {
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    if( index>=0 && index<12 ) mMoves[index] = newMove;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static String debug(int id)
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    {
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    int ce0 = getCenter(id,0);
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    int ce1 = getCenter(id,1);
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    int ce2 = getCenter(id,2);
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    int ce3 = getCenter(id,3);
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    int co0 = getCorner(id,0);
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    int co1 = getCorner(id,1);
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    int co2 = getCorner(id,2);
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    int co3 = getCorner(id,3);
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    int co4 = getCorner(id,4);
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    int co5 = getCorner(id,5);
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    int co6 = getCorner(id,6);
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    int co7 = getCorner(id,7);
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    String center = centerString(ce0) + centerString(ce1) + centerString(ce2) + centerString(ce3);
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    String corner = cornerString(co0) + cornerString(co1) + cornerString(co2) + cornerString(co3) +
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                    cornerString(co4) + cornerString(co5) + cornerString(co6) + cornerString(co7);
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    return center + " -" + corner;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static String centerString(int center)
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    {
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    return " "+center;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static String cornerString(int corner)
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    {
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    switch(corner)
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      {
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      case CORNER_S: return " S";
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      case CORNER_X: return " X";
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      case CORNER_Y: return " Y";
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      case CORNER_Z: return " Z";
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      }
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    return "?";
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static int[] createMoves(int id)
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    {
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    int[] ret = new int[12];
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    boolean moveX  = xPossible(id);
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    boolean moveY  = yPossible(id);
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    boolean moveZ0 = z0Possible(id);
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    boolean moveZ2 = z2Possible(id);
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    if( moveX ) createXmoves(id,ret);
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    else        { ret[ 0] = INVALID_MOVE; ret[ 1] = INVALID_MOVE; ret[ 2] = INVALID_MOVE; }
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    if( moveY ) createYmoves(id,ret);
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    else        { ret[ 3] = INVALID_MOVE; ret[ 4] = INVALID_MOVE; ret[ 5] = INVALID_MOVE; }
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    if( moveZ0) createZ0moves(id,ret);
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    else        { ret[ 6] = INVALID_MOVE; ret[ 7] = INVALID_MOVE; ret[ 8] = INVALID_MOVE; }
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    if( moveZ2) createZ2moves(id,ret);
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    else        { ret[ 9] = INVALID_MOVE; ret[10] = INVALID_MOVE; ret[11] = INVALID_MOVE; }
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    return ret;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static boolean xPossible(int id)
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    {
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    if( getCorner(id,4)==CORNER_X ) return false;
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    if( getCorner(id,5)==CORNER_X ) return false;
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    if( getCorner(id,6)==CORNER_X ) return false;
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    if( getCorner(id,7)==CORNER_X ) return false;
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    if( getCenter(id,1)==CENTER_1 ) return false;
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    if( getCenter(id,2)==CENTER_1 ) return false;
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    if( getCenter(id,3)==CENTER_1 ) return false;
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    return true;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static boolean yPossible(int id)
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    {
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    if( getCorner(id,2)==CORNER_Y ) return false;
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    if( getCorner(id,3)==CORNER_Y ) return false;
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    if( getCorner(id,6)==CORNER_Y ) return false;
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    if( getCorner(id,7)==CORNER_Y ) return false;
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    if( getCenter(id,0)==CENTER_0 ) return false;
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    if( getCenter(id,2)==CENTER_0 ) return false;
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    if( getCenter(id,3)==CENTER_0 ) return false;
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    return true;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static boolean z0Possible(int id)
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    {
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    if( getCorner(id,0)==CORNER_Z ) return false;
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    if( getCorner(id,2)==CORNER_Z ) return false;
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    if( getCorner(id,4)==CORNER_Z ) return false;
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    if( getCorner(id,6)==CORNER_Z ) return false;
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    if( getCenter(id,0)==CENTER_1 ) return false;
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    if( getCenter(id,1)==CENTER_0 ) return false;
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    return true;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static boolean z2Possible(int id)
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    {
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    if( getCorner(id,1)==CORNER_Z ) return false;
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    if( getCorner(id,3)==CORNER_Z ) return false;
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    if( getCorner(id,5)==CORNER_Z ) return false;
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    if( getCorner(id,7)==CORNER_Z ) return false;
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    if( getCenter(id,0)==CENTER_3 ) return false;
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    if( getCenter(id,1)==CENTER_2 ) return false;
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    return true;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static int getCorner(int id, int index)
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    {
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    return (id>>(14-2*index))&3;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static int getCenter(int id, int index)
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    {
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    return (id>>(22-2*index))&3;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static int setCorner(int id, int corner, int index)
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    {
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    return id + ((corner-getCorner(id,index))<<(14-2*index));
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static int setCenter(int id, int center, int index)
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    {
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    return id + ((center-getCenter(id,index))<<(22-2*index));
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static void createXmoves(int id, int[] moves)
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    {
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    int id1 = rotateX(id);
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    moves[0] = id1;
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    int id2 = rotateX(id1);
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    moves[1] = id2;
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    int id3 = rotateX(id2);
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    moves[2] = id3;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static void createYmoves(int id, int[] moves)
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    {
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    int id1 = rotateY(id);
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    moves[3] = id1;
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    int id2 = rotateY(id1);
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    moves[4] = id2;
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    int id3 = rotateY(id2);
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    moves[5] = id3;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static void createZ0moves(int id, int[] moves)
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    {
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    int id1 = rotateZ0(id);
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    moves[6] = id1;
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    int id2 = rotateZ0(id1);
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    moves[7] = id2;
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    int id3 = rotateZ0(id2);
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    moves[8] = id3;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static void createZ2moves(int id, int[] moves)
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    {
523
    int id1 = rotateZ2(id);
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    moves[ 9] = id1;
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    int id2 = rotateZ2(id1);
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    moves[10] = id2;
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    int id3 = rotateZ2(id2);
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    moves[11] = id3;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static int rotateX(int id)
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    {
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    int newCorner4 = rotCornerX(getCorner(id,5));
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    int newCorner5 = rotCornerX(getCorner(id,7));
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    int newCorner6 = rotCornerX(getCorner(id,4));
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    int newCorner7 = rotCornerX(getCorner(id,6));
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    int newCenter  = rotCenter (getCenter(id,0));
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    int id1 = setCorner(id ,newCorner4,4);
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    int id2 = setCorner(id1,newCorner5,5);
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    int id3 = setCorner(id2,newCorner6,6);
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    int id4 = setCorner(id3,newCorner7,7);
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    int id5 = setCenter(id4,newCenter ,0);
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    return id5;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
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  private static int rotateY(int id)
553
    {
554
    int newCorner2 = rotCornerY(getCorner(id,6));
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    int newCorner3 = rotCornerY(getCorner(id,2));
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    int newCorner6 = rotCornerY(getCorner(id,7));
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    int newCorner7 = rotCornerY(getCorner(id,3));
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    int newCenter  = rotCenter (getCenter(id,1));
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    int id1 = setCorner(id ,newCorner2,2);
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    int id2 = setCorner(id1,newCorner3,3);
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    int id3 = setCorner(id2,newCorner6,6);
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    int id4 = setCorner(id3,newCorner7,7);
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    int id5 = setCenter(id4,newCenter ,1);
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    return id5;
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    }
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///////////////////////////////////////////////////////////////////////////////////////////////////
570
571
  private static int rotateZ0(int id)
572
    {
573
    int newCorner0 = rotCornerZ(getCorner(id,2));
574
    int newCorner2 = rotCornerZ(getCorner(id,6));
575
    int newCorner4 = rotCornerZ(getCorner(id,0));
576
    int newCorner6 = rotCornerZ(getCorner(id,4));
577
    int newCenter  = rotCenter (getCenter(id,2));
578
579
    int id1 = setCorner(id ,newCorner0,0);
580
    int id2 = setCorner(id1,newCorner2,2);
581
    int id3 = setCorner(id2,newCorner4,4);
582
    int id4 = setCorner(id3,newCorner6,6);
583
    int id5 = setCenter(id4,newCenter ,2);
584
585
    return id5;
586
    }
587
588
///////////////////////////////////////////////////////////////////////////////////////////////////
589
590
  private static int rotateZ2(int id)
591
    {
592
    int newCorner1 = rotCornerZ(getCorner(id,3));
593
    int newCorner3 = rotCornerZ(getCorner(id,7));
594
    int newCorner5 = rotCornerZ(getCorner(id,1));
595
    int newCorner7 = rotCornerZ(getCorner(id,5));
596
    int newCenter  = rotCenter (getCenter(id,3));
597
598
    int id1 = setCorner(id ,newCorner1,1);
599
    int id2 = setCorner(id1,newCorner3,3);
600
    int id3 = setCorner(id2,newCorner5,5);
601
    int id4 = setCorner(id3,newCorner7,7);
602
    int id5 = setCenter(id4,newCenter ,3);
603
604
    return id5;
605
    }
606
607
///////////////////////////////////////////////////////////////////////////////////////////////////
608
609
  private static int rotCornerX(int corner)
610
    {
611
    switch(corner)
612
      {
613
      case CORNER_S: return CORNER_S;
614
      case CORNER_X: android.util.Log.e("DIST", "rotateX: ERROR");
615
                     return CORNER_S;
616
      case CORNER_Y: return CORNER_Z;
617
      case CORNER_Z: return CORNER_Y;
618
      }
619
620
    return CORNER_S;
621
    }
622
623
///////////////////////////////////////////////////////////////////////////////////////////////////
624
625
  private static int rotCornerY(int corner)
626
    {
627
    switch(corner)
628
      {
629
      case CORNER_S: return CORNER_S;
630
      case CORNER_X: return CORNER_Z;
631
      case CORNER_Y: android.util.Log.e("DIST", "rotateY: ERROR");
632
                     return CORNER_S;
633
      case CORNER_Z: return CORNER_X;
634
      }
635
636
    return CORNER_S;
637
    }
638
639
///////////////////////////////////////////////////////////////////////////////////////////////////
640
641
  private static int rotCornerZ(int corner)
642
    {
643
    switch(corner)
644
      {
645
      case CORNER_S: return CORNER_S;
646
      case CORNER_X: return CORNER_Y;
647
      case CORNER_Y: return CORNER_X;
648
      case CORNER_Z: android.util.Log.e("DIST", "rotateZ: ERROR");
649
                     return CORNER_S;
650
      }
651
652
    return CORNER_S;
653
    }
654
655
///////////////////////////////////////////////////////////////////////////////////////////////////
656
657
  private static int rotCenter(int center)
658
    {
659
    switch(center)
660
      {
661
      case CENTER_0: return CENTER_3;
662
      case CENTER_1: return CENTER_0;
663
      case CENTER_2: return CENTER_1;
664
      case CENTER_3: return CENTER_2;
665
      }
666
667
    return CENTER_0;
668
    }
669
}