From b7a63ee8956d977ad3364a1d8f509e307232a22a Mon Sep 17 00:00:00 2001
From: Eugen Wissner <belka@caraus.de>
Date: Sun, 28 Dec 2025 19:31:39 +0100
Subject: [PATCH] =?UTF-8?q?=D0=97=D0=B0=D0=BA=D0=BE=D0=BD=D1=87=D0=B8?=
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MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 .../4/4_prim/labyrinth.ico                    | Bin 0 -> 62632 bytes
 .../4/4_prim/labyrinth.lpi                    |  90 +++
 .../4/4_prim/labyrinth.lpr                    |  28 +
 .../4/4_prim/labyrinth.lps                    | 189 +++++++
 .../4/4_prim/mazeunit.pas                     |  85 +++
 .../4/4_prim/sample.txt                       |  21 +
 .../4/4_prim/unit1.lfm                        |  69 +++
 .../4/4_prim/unit1.pas                        | 513 ++++++++++++++++++
 Занимательное программирование/README.txt     |   6 +-
 9 files changed, 999 insertions(+), 2 deletions(-)
 create mode 100644 Занимательное программирование/4/4_prim/labyrinth.ico
 create mode 100644 Занимательное программирование/4/4_prim/labyrinth.lpi
 create mode 100644 Занимательное программирование/4/4_prim/labyrinth.lpr
 create mode 100644 Занимательное программирование/4/4_prim/labyrinth.lps
 create mode 100644 Занимательное программирование/4/4_prim/mazeunit.pas
 create mode 100644 Занимательное программирование/4/4_prim/sample.txt
 create mode 100644 Занимательное программирование/4/4_prim/unit1.lfm
 create mode 100644 Занимательное программирование/4/4_prim/unit1.pas

diff --git a/Занимательное программирование/4/4_prim/labyrinth.ico b/Занимательное программирование/4/4_prim/labyrinth.ico
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diff --git a/Занимательное программирование/4/4_prim/labyrinth.lpi b/Занимательное программирование/4/4_prim/labyrinth.lpi
new file mode 100644
index 0000000..2edb9a2
--- /dev/null
+++ b/Занимательное программирование/4/4_prim/labyrinth.lpi	
@@ -0,0 +1,90 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<CONFIG>
+  <ProjectOptions>
+    <Version Value="12"/>
+    <PathDelim Value="\"/>
+    <General>
+      <SessionStorage Value="InProjectDir"/>
+      <Title Value="labyrinth"/>
+      <Scaled Value="True"/>
+      <ResourceType Value="res"/>
+      <UseXPManifest Value="True"/>
+      <XPManifest>
+        <DpiAware Value="True"/>
+      </XPManifest>
+      <Icon Value="0"/>
+    </General>
+    <BuildModes>
+      <Item Name="Default" Default="True"/>
+    </BuildModes>
+    <PublishOptions>
+      <Version Value="2"/>
+      <UseFileFilters Value="True"/>
+    </PublishOptions>
+    <RunParams>
+      <FormatVersion Value="2"/>
+    </RunParams>
+    <RequiredPackages>
+      <Item>
+        <PackageName Value="LCL"/>
+      </Item>
+    </RequiredPackages>
+    <Units>
+      <Unit>
+        <Filename Value="labyrinth.lpr"/>
+        <IsPartOfProject Value="True"/>
+      </Unit>
+      <Unit>
+        <Filename Value="unit1.pas"/>
+        <IsPartOfProject Value="True"/>
+        <ComponentName Value="Form1"/>
+        <HasResources Value="True"/>
+        <ResourceBaseClass Value="Form"/>
+        <UnitName Value="Unit1"/>
+      </Unit>
+      <Unit>
+        <Filename Value="maze.pas"/>
+        <IsPartOfProject Value="True"/>
+        <UnitName Value="MazeUnit"/>
+      </Unit>
+      <Unit>
+        <Filename Value="sample.txt"/>
+        <IsPartOfProject Value="True"/>
+      </Unit>
+    </Units>
+  </ProjectOptions>
+  <CompilerOptions>
+    <Version Value="11"/>
+    <PathDelim Value="\"/>
+    <Target>
+      <Filename Value="labyrinth"/>
+    </Target>
+    <SearchPaths>
+      <IncludeFiles Value="$(ProjOutDir)"/>
+      <UnitOutputDirectory Value="lib\$(TargetCPU)-$(TargetOS)"/>
+    </SearchPaths>
+    <Linking>
+      <Debugging>
+        <DebugInfoType Value="dsDwarf3"/>
+      </Debugging>
+      <Options>
+        <Win32>
+          <GraphicApplication Value="True"/>
+        </Win32>
+      </Options>
+    </Linking>
+  </CompilerOptions>
+  <Debugging>
+    <Exceptions>
+      <Item>
+        <Name Value="EAbort"/>
+      </Item>
+      <Item>
+        <Name Value="ECodetoolError"/>
+      </Item>
+      <Item>
+        <Name Value="EFOpenError"/>
+      </Item>
+    </Exceptions>
+  </Debugging>
+</CONFIG>
diff --git a/Занимательное программирование/4/4_prim/labyrinth.lpr b/Занимательное программирование/4/4_prim/labyrinth.lpr
new file mode 100644
index 0000000..6cb02f1
--- /dev/null
+++ b/Занимательное программирование/4/4_prim/labyrinth.lpr	
@@ -0,0 +1,28 @@
+program labyrinth;
+
+{$mode objfpc}{$H+}
+
+uses
+  {$IFDEF UNIX}
+  cthreads,
+  {$ENDIF}
+  {$IFDEF HASAMIGA}
+  athreads,
+  {$ENDIF}
+  Interfaces, // this includes the LCL widgetset
+  Forms, Unit1, MazeUnit
+  { you can add units after this };
+
+{$R *.res}
+
+begin
+  RequireDerivedFormResource:=True;
+  Application.Scaled:=True;
+  {$PUSH}{$WARN 5044 OFF}
+  Application.MainFormOnTaskbar:=True;
+  {$POP}
+  Application.Initialize;
+  Application.CreateForm(TForm1, Form1);
+  Application.Run;
+end.
+
diff --git a/Занимательное программирование/4/4_prim/labyrinth.lps b/Занимательное программирование/4/4_prim/labyrinth.lps
new file mode 100644
index 0000000..26829bd
--- /dev/null
+++ b/Занимательное программирование/4/4_prim/labyrinth.lps	
@@ -0,0 +1,189 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<CONFIG>
+  <ProjectSession>
+    <PathDelim Value="\"/>
+    <Version Value="12"/>
+    <BuildModes Active="Default"/>
+    <Units>
+      <Unit>
+        <Filename Value="labyrinth.lpr"/>
+        <IsPartOfProject Value="True"/>
+        <EditorIndex Value="3"/>
+        <CursorPos X="25" Y="13"/>
+        <UsageCount Value="29"/>
+        <Loaded Value="True"/>
+      </Unit>
+      <Unit>
+        <Filename Value="unit1.pas"/>
+        <IsPartOfProject Value="True"/>
+        <ComponentName Value="Form1"/>
+        <HasResources Value="True"/>
+        <ResourceBaseClass Value="Form"/>
+        <UnitName Value="Unit1"/>
+        <IsVisibleTab Value="True"/>
+        <TopLine Value="227"/>
+        <CursorPos X="14" Y="233"/>
+        <UsageCount Value="29"/>
+        <Loaded Value="True"/>
+        <LoadedDesigner Value="True"/>
+      </Unit>
+      <Unit>
+        <Filename Value="maze.pas"/>
+        <IsPartOfProject Value="True"/>
+        <UnitName Value="MazeUnit"/>
+        <EditorIndex Value="-1"/>
+        <CursorPos X="27" Y="7"/>
+        <UsageCount Value="29"/>
+      </Unit>
+      <Unit>
+        <Filename Value="sample.txt"/>
+        <IsPartOfProject Value="True"/>
+        <EditorIndex Value="2"/>
+        <CursorPos X="4" Y="21"/>
+        <UsageCount Value="29"/>
+        <Loaded Value="True"/>
+        <DefaultSyntaxHighlighter Value="Text"/>
+      </Unit>
+      <Unit>
+        <Filename Value="mazeunit.pas"/>
+        <UnitName Value="MazeUnit"/>
+        <EditorIndex Value="1"/>
+        <CursorPos X="19" Y="26"/>
+        <UsageCount Value="15"/>
+        <Loaded Value="True"/>
+      </Unit>
+      <Unit>
+        <Filename Value="C:\opt\lazarus\fpc\3.2.2\source\rtl\objpas\classes\classesh.inc"/>
+        <EditorIndex Value="-1"/>
+        <CursorPos X="4" Y="27"/>
+        <UsageCount Value="10"/>
+      </Unit>
+    </Units>
+    <JumpHistory HistoryIndex="29">
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="328" Column="88" TopLine="310"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="471" Column="33" TopLine="454"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="473" Column="22" TopLine="471"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="474" Column="3" TopLine="473"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="503" Column="30" TopLine="420"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="187" TopLine="187"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="320" Column="24" TopLine="298"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="460" Column="19" TopLine="457"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="493" Column="14" TopLine="468"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="39" Column="22" TopLine="24"/>
+      </Position>
+      <Position>
+        <Filename Value="mazeunit.pas"/>
+        <Caret Line="14" Column="33"/>
+      </Position>
+      <Position>
+        <Filename Value="mazeunit.pas"/>
+        <Caret Line="72" Column="25" TopLine="55"/>
+      </Position>
+      <Position>
+        <Filename Value="mazeunit.pas"/>
+        <Caret Line="17" Column="16"/>
+      </Position>
+      <Position>
+        <Filename Value="mazeunit.pas"/>
+        <Caret Line="25" Column="16"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="11"/>
+      </Position>
+      <Position>
+        <Filename Value="sample.txt"/>
+        <Caret Line="5" Column="9"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="472" Column="33" TopLine="458"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="483" Column="11" TopLine="458"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="37" Column="19" TopLine="22"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="28" Column="67" TopLine="16"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="39" Column="22" TopLine="16"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="148" Column="22" TopLine="123"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="356" Column="36" TopLine="356"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="498" Column="7" TopLine="473"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="14" Column="27" TopLine="7"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="46" Column="27" TopLine="34"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="268" Column="56" TopLine="254"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="338" Column="10" TopLine="323"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="223" Column="19" TopLine="213"/>
+      </Position>
+      <Position>
+        <Filename Value="unit1.pas"/>
+        <Caret Line="287" Column="17" TopLine="269"/>
+      </Position>
+    </JumpHistory>
+    <RunParams>
+      <FormatVersion Value="2"/>
+      <Modes ActiveMode=""/>
+    </RunParams>
+  </ProjectSession>
+</CONFIG>
diff --git a/Занимательное программирование/4/4_prim/mazeunit.pas b/Занимательное программирование/4/4_prim/mazeunit.pas
new file mode 100644
index 0000000..1c24dbb
--- /dev/null
+++ b/Занимательное программирование/4/4_prim/mazeunit.pas	
@@ -0,0 +1,85 @@
+unit MazeUnit;
+
+{$mode ObjFPC}{$H+}
+
+interface
+
+uses
+  Classes, SysUtils;
+
+type
+  Location = record
+    left_wall, up_wall: Boolean;
+  end;
+  Maze = array of array of Location;
+
+(* Загрузить лабиринт. *)
+procedure LoadMaze(var TheMaze: Maze; FileName: string);
+(* Сохранить лабиринт *)
+procedure SaveMaze(TheMaze: Maze; FileName: string);
+
+function CanGo(TheMaze: Maze; x, y, dx, dy: Integer): Boolean;
+
+implementation
+
+procedure LoadMaze(var TheMaze: Maze; FileName: string);
+var f: TextFile; (* Файл с описанием лабиринта *)
+  Height, Width: Integer; (* высота и ширина лабиринта *)
+  x, y: Integer; (* текущая локация *)
+  lw, uw: Integer; (* временные переменные *)
+begin
+  AssignFile(f, FileName); (* открыть файл *)
+  Reset(f);
+
+  ReadLn(f, Width, Height); (* прочитать высоту и ширину *)
+  SetLength(TheMaze, Width + 1, Height + 1); (* изменить размер лабиринта *)
+
+  for y := 0 to Height do (* Цикл по всем локациям *)
+    for x := 0 to Width do
+      if (y = Height) or (x = Width) then (* если локация - служебная *)
+      begin
+        TheMaze[x, y].left_wall := true; (* обе стены существуют *)
+        TheMaze[x, y].up_wall := true
+      end
+      else
+      begin (* иначе считываем *)
+        ReadLn(f, uw, lw); (* из файла *)
+        TheMaze[x, y].left_wall := Boolean(lw); (* прочитанное целое *)
+        TheMaze[x, y].up_wall := Boolean(uw); (* число надо привести *)
+      end; (* к типу Boolean *)
+  CloseFile(f); (* Закрыть файл *)
+end;
+
+procedure SaveMaze(TheMaze: Maze; FileName: string);
+var f: TextFile; (* файл с описанием лабиринта *)
+  Height, Width: Integer; (* высота и ширина *)
+  x, y: Integer; (* координаты текущей локации *)
+begin
+  AssignFile(f, FileName); (* открыать файл *)
+  Rewrite(f); (* для записи *)
+
+  Height := High(TheMaze[0]); (* определяем высоту *)
+  Width := High(TheMaze); (* и ширину лабиринта *)
+
+  WriteLn(f, Width, ' ', Height); (* запись в файл высоты и ширины *)
+
+  for y := 0 to Height - 1 do
+    for x := 0 to Width - 1 do
+      WriteLn(f, Integer(TheMaze[x, y].up_wall), ' ',
+          Integer(TheMaze[x, y].left_wall));
+
+  CloseFile(f); (* закрыть файл *)
+end;
+
+(* служебная функция: определяет, можно ли пройти из локации
+(x, y) в локацию (x + dx, y + dy), то есть нет ли между ними стены *)
+function CanGo(TheMaze: Maze; x, y, dx, dy: Integer): Boolean;
+begin
+  if dx = -1 then CanGo := not TheMaze[x, y].left_wall
+  else if dx = 1 then CanGo := not TheMaze[x + 1, y].left_wall
+  else if dy = -1 then CanGo := not TheMaze[x, y].up_wall
+  else CanGo := not TheMaze[x, y + 1].up_wall;
+end;
+
+end.
+
diff --git a/Занимательное программирование/4/4_prim/sample.txt b/Занимательное программирование/4/4_prim/sample.txt
new file mode 100644
index 0000000..7ce0c40
--- /dev/null
+++ b/Занимательное программирование/4/4_prim/sample.txt	
@@ -0,0 +1,21 @@
+5 4
+1 1
+1 1
+1 0
+1 1
+1 0
+0 1
+1 0
+0 1
+0 0
+1 1
+0 1
+1 0
+1 0
+0 0
+0 0
+1 1
+0 0
+0 1
+0 1
+0 1
diff --git a/Занимательное программирование/4/4_prim/unit1.lfm b/Занимательное программирование/4/4_prim/unit1.lfm
new file mode 100644
index 0000000..d7f553d
--- /dev/null
+++ b/Занимательное программирование/4/4_prim/unit1.lfm	
@@ -0,0 +1,69 @@
+object Form1: TForm1
+  Left = 322
+  Height = 620
+  Top = 32
+  Width = 856
+  Caption = 'Form1'
+  ClientHeight = 620
+  ClientWidth = 856
+  DesignTimePPI = 120
+  LCLVersion = '4.2.0.0'
+  object BackBuffer: TImage
+    Left = 16
+    Height = 400
+    Top = 8
+    Width = 824
+    Visible = False
+  end
+  object Screen: TImage
+    Left = 16
+    Height = 400
+    Top = 8
+    Width = 824
+  end
+  object Button1: TButton
+    Left = 16
+    Height = 56
+    Top = 440
+    Width = 176
+    Caption = 'Загрузка/сохранение'
+    TabOrder = 0
+    OnClick = Button1Click
+  end
+  object Button2: TButton
+    Left = 192
+    Height = 56
+    Top = 440
+    Width = 166
+    Caption = 'Рекурсивный обход'
+    TabOrder = 1
+    OnClick = Button2Click
+  end
+  object Button3: TButton
+    Left = 360
+    Height = 56
+    Top = 440
+    Width = 176
+    Caption = 'Волновая трассировка'
+    TabOrder = 2
+    OnClick = Button3Click
+  end
+  object Button4: TButton
+    Left = 536
+    Height = 56
+    Top = 440
+    Width = 144
+    Caption = 'Алгоритм Прима'
+    TabOrder = 3
+    OnClick = Button4Click
+  end
+  object Button5: TButton
+    Left = 680
+    Height = 56
+    Top = 440
+    Width = 160
+    Caption = 'Алгоритм Краскала'
+    TabOrder = 4
+    OnClick = Button5Click
+  end
+end
diff --git a/Занимательное программирование/4/4_prim/unit1.pas b/Занимательное программирование/4/4_prim/unit1.pas
new file mode 100644
index 0000000..e43eb9c
--- /dev/null
+++ b/Занимательное программирование/4/4_prim/unit1.pas	
@@ -0,0 +1,513 @@
+unit Unit1;
+
+{$mode objfpc}{$H+}
+
+interface
+
+uses
+  Classes, SysUtils, Forms, Controls, Graphics, Dialogs, ExtCtrls, StdCtrls,
+  MazeUnit;
+
+const
+  CellSize = 50;
+
+type
+
+  { TForm1 }
+
+  TForm1 = class(TForm)
+    BackBuffer: TImage;
+    Button1: TButton;
+    Button2: TButton;
+    Button3: TButton;
+    Button4: TButton;
+    Button5: TButton;
+    Screen: TImage;
+    procedure Button1Click(Sender: TObject);
+    procedure Button2Click(Sender: TObject);
+    procedure Button3Click(Sender: TObject);
+    procedure Button4Click(Sender: TObject);
+    procedure Button5Click(Sender: TObject);
+  private
+    TheMaze: Maze;
+  public
+
+  end;
+
+procedure ShowMaze(TheMaze: Maze); (* нарисовать лабиринт *)
+procedure RecursiveSolve(TheMaze: Maze; xs, ys, xf, yf: Integer);
+procedure WaveTracingSolve(TheMaze: Maze; xs, ys, xf, yf: Integer);
+
+var
+  Form1: TForm1;
+
+implementation
+
+{$R *.lfm}
+
+procedure ShowMaze(TheMaze: Maze); (* нарисовать лабиринт *)
+var x, y: Integer;
+  Height, Width: Integer; (* высота и ширина лабиринта *)
+begin
+  Width := High(TheMaze); (* определить высоту и ширину *)
+  Height := High(TheMaze[0]);
+
+  Form1.BackBuffer.Canvas.FillRect(Rect(0, 0, Form1.BackBuffer.Width, Form1.BackBuffer.Height));
+  for x := 0 to Width - 1 do
+    for y := 0 to Height - 1 do
+    begin
+      (* если в локации есть верхняя стена *)
+      if TheMaze[x, y].up_wall then
+      begin
+        (* рисуем ее *)
+        Form1.BackBuffer.Canvas.MoveTo(x * CellSize, y * CellSize);
+        Form1.BackBuffer.Canvas.LineTo((x + 1) * CellSize, y * CellSize)
+      end;
+
+      (* если в локации есть левая стена *)
+      if TheMaze[x, y].left_wall then
+      begin
+        (* рисуем и ее *)
+        Form1.BackBuffer.Canvas.MoveTo(x * CellSize, y * CellSize);
+        Form1.BackBuffer.Canvas.LineTo(x * CellSize, (y + 1) * CellSize)
+      end
+    end;
+  (* рисуем стену снизу и *)
+  Form1.BackBuffer.Canvas.MoveTo(0, Height * CellSize);
+  (* справа от лабиринта *)
+  Form1.BackBuffer.Canvas.LineTo(Width * CellSize, Height * CellSize);
+  Form1.BackBuffer.Canvas.LineTo(Width * CellSize, 0);
+
+  (* отобразить результат на основном экране *)
+  Form1.Screen.Canvas.CopyRect(
+      Rect(0, 0, Form1.Screen.Width, Form1.Screen.Height),
+      Form1.BackBuffer.Canvas,
+      Rect(0, 0, Form1.Screen.Width, Form1.Screen.Height));
+end;
+
+procedure RecursiveSolve(TheMaze: Maze; xs, ys, xf, yf: Integer);
+var visited: array of array of Boolean; (* карта посещений локаций *)
+  x, y, xc, yc: Integer;
+  i: Integer;
+  Path: array of TPoint; (* Результирующий маршрут *)
+  Height, Width: Integer;
+const dx: array[1..4] of Integer = (1, 0, -1, 0); (* смещения *)
+  dy: array[1..4] of Integer = (0, -1, 0, 1);
+
+(* поиск финишной локации из точки (x, y) *)
+function Solve(x, y, depth: Integer): Boolean;
+var i: Integer;
+begin
+  Visited[x, y] := true; (* пометить локцию как посещенную *)
+  Path[depth] := Point(x, y); (* добавить ее в описание маршрута *)
+  Path[depth + 1] := Point(-1, -1); (* добавить признак конца маршрута *)
+
+  if (x = xf) and (y = yf) then (* если финишная локация найдена *)
+  begin
+    Solve := true; (* Конец алгоритма *)
+    Exit;
+  end;
+
+  for i := 1 to 4 do
+    (* если дорожка свободна, идем по ней *)
+    if CanGo(TheMaze, x, y, dx[i], dy[i]) and not Visited[x + dx[i], y + dy[i]] then
+       if Solve(x + dx[i], y + dy[i], depth + 1) then
+       begin
+         Solve := true; (* если решение найдено *)
+         Exit; (* конец алгоритма *)
+       end;
+
+  Visited[x, y] := false; (* пометить локацию как непосещенную *)
+  Solve := false; (* решение найдено *)
+end;
+
+begin (* главная процедура *)
+  Width := High(TheMaze);
+  Height := High(TheMaze[0]);
+  SetLength(Path, Height * Width + 1); (* выделяем память для маршрута *)
+  SetLength(Visited, Width, Height); (* и для списка посещенных локаций *)
+
+  for x := 0 to Width - 1 do
+    for y := 0 to Height - 1 do
+      Visited[x, y] := false; (* изначально ни одна не посещена *)
+
+  if Solve(xs, ys, 0) then (* если найдено решение, рисуем его *)
+  begin
+    i := 0;
+    while not ((Path[i].x = -1) and (Path[i].y = -1)) do
+    begin
+      xc := CellSize * (2 * Path[i].x + 1) div 2;
+      yc := CellSize * (2 * Path[i].y + 1) div 2;
+      Form1.Screen.Canvas.Ellipse(xc - 5, yc - 5, xc + 5, yc + 5);
+      i := i + 1
+    end;
+  end;
+
+end;
+
+procedure WaveTracingSolve(TheMaze: Maze; xs, ys, xf, yf: Integer);
+var Mark: array of array of Integer; (* метки локаций *)
+  x, y, xc, yc: Integer;
+  N, i: Integer;
+  Height, Width: Integer;
+const dx: array[1..4] of Integer = (1, 0, -1, 0); (* смещений *)
+  dy: array[1..4] of Integer = (0, -1, 0, 1);
+
+function Solve: Boolean; (* поиск решения *)
+var i, N, x, y: Integer;
+  NoSolution: Boolean;
+begin
+  N := 1; (* начинаем с итерации номер 1 *)
+
+  repeat
+    NoSolution := true; (* пессимистично полагаем, что решения нет *)
+    for x := 0 to Width - 1 do
+      for y := 0 to Height - 1 do
+        if Mark[x, y] = N then (* найти локации, помеченные числом N *)
+           for i := 1 to 4 do (* просмотр соседних локаций *)
+               if CanGo(TheMaze, x, y, dx[i], dy[i]) and (Mark[x + dx[i], y + dy[i]] = 0) then
+               begin (* локация доступна и помечена нулем *)
+                 NoSolution := false; (* есть шанс найти решение *)
+                 (* помечаем соседнюю локацию числом N + 1 *)
+                 Mark[x + dx[i], y + dy[i]] := N + 1;
+                 if (x + dx[i] = xf) and (y + dy[i] = yf) then
+                 begin
+                   Solve := true; (* дошло до финишной локации *)
+                   Exit; (* конец алгоритма *)
+                 end;
+               end;
+    N := N + 1; (* переход к следующей итерации *)
+  until NoSolution; (* повторять, если есть надежда найти решение *)
+
+  Solve := false; (* нет, решение не найдено *)
+end;
+
+begin
+  Width := High(TheMaze);
+  Height := High(TheMaze[0]);
+  SetLength(Mark, Width, Height); (* выделение памяти для пометок *)
+
+  for x := 0 to Width - 1 do (* изначально все заполняется нулями *)
+    for y := 0 to Height - 1 do
+      Mark[x, y] := 0;
+
+  Mark[xs, ys] := 1; (* стартовой локции соответствует единица *)
+  if Solve then (* если найдено решение, рисуем его *)
+  begin
+    x := xf;
+    y := yf;
+    for N := Mark[xf, yf] downto 1 do
+    begin
+      (* рисуем окружность на очередной локции маршрута *)
+      xc := CellSize * (2 * x + 1) div 2;
+      yc := CellSize * (2 * y + 1) div 2;
+      Form1.Screen.Canvas.Ellipse(xc - 5, yc - 5, xc + 5, yc + 5);
+
+      for i := 1 to 4 do
+        if CanGo(TheMaze, x, y, dx[i], dy[i]) and (Mark[x + dx[i], y + dy[i]] = N - 1) then
+        begin
+          x := x + dx[i]; (* ищем следующую локацию маршрута *)
+          y := y + dy[i];
+          Break;
+        end;
+    end;
+  end;
+end;
+
+(* Генерация лабиринта по алгоритму Прима *)
+function PrimGenerateMaze(Width, Height : Integer) : Maze;
+type AttrType = (Inside, Outside, Border); (* тип "атрибут локации" *)
+var
+  TheMaze: Maze; (* сам лабиринта *)
+  x, y, i: Integer;
+  xc, yc: Integer;
+  Attribute: array of array of AttrType; (* карта атрибутов *)
+  IsEnd: Boolean;
+  counter: Integer;
+  borders: array of TPoint;
+  borderToInside: TPoint;
+const
+  dx: array[1..4] of Integer = (1, 0, -1, 0); (* смещения *)
+  dy : array[1..4] of Integer = (0, -1, 0, 1);
+
+label ExitFor; (* используемые метки *)
+
+procedure BreakWall(x, y, dx, dy : Integer); (* разрушить стену *)
+begin (* между локациями *)
+  if dx = -1 then TheMaze[x, y].left_wall := false
+  else if dx = 1 then TheMaze[x + 1, y].left_wall := false
+  else if dy = -1 then TheMaze[x, y].up_wall := false
+  else TheMaze[x, y + 1].up_wall := false;
+end;
+
+begin
+    borders := nil;
+    SetLength(Attribute, Width, Height); (* выделение памяти для атрибутов *)
+    SetLength(TheMaze, Width + 1, Height + 1); (* изменить размер лабиринта *)
+
+    for x := 0 to Width - 1 do (* изначально все атрибуты *)
+        for y := 0 to Height - 1 do (* равны Outside *)
+            Attribute[x, y] := Outside;
+
+    for y := 0 to Height do (* все стены изначально *)
+        for x := 0 to Width do (* существуют *)
+        begin
+            TheMaze[x, y].left_wall := true;
+            TheMaze[x, y].up_wall := true;
+        end;
+
+    Randomize;
+    x := Random(Width); (* выбираем начальную локацию *)
+    y := Random(Height);
+    Attribute[x, y] := Inside; (* и присваиваем ей атрибут Inside *)
+
+    for i := 1 to 4 do (* всем ее соседям присваиваем *)
+    begin (* атрибут Border *)
+        xc := x + dx[i];
+        yc := y + dy[i];
+        if (xc >= 0) and (yc >= 0) and (xc < Width) and (yc < Height) then
+        begin
+            SetLength(borders, Length(borders) + 1);
+            borders[Length(borders) - 1].X := xc;
+            borders[Length(borders) - 1].Y := yc;
+            Attribute[xc, yc] := Border
+        end
+    end;
+
+    repeat (* главный цикл *)
+        IsEnd := true;
+        counter := Length(borders);
+
+        (* Выбираем из них одну случайную. *)
+        counter := Random(counter);
+        borderToInside := borders[counter];
+
+        (* Удаляем локацию с атрибутом Border из списка. *)
+        Move(borders[counter + 1], borders[counter], SizeOf(TPoint) * (Length(borders) - counter - 1));
+        SetLength(borders, Length(borders) - 1);
+
+        (* Присвоить ей атрибут Inside. *)
+        Attribute[borderToInside.X, borderToInside.Y] := Inside;
+
+        counter := 0;
+        for i := 1 to 4 do
+        begin
+            xc := borderToInside.X + dx[i];
+            yc := borderToInside.Y + dy[i];
+            if (xc >= 0) and (yc >= 0) and (xc < Width) and (yc < Height) then
+            begin (* подсчитать количество локаций с атрибутом Inside *)
+                if Attribute[xc, yc] = Inside then counter := counter + 1;
+                if Attribute[xc, yc] = Outside then
+                begin
+                   (* Заменить атрибуты с Outside на Border. *)
+                    SetLength(borders, Length(borders) + 1);
+                    borders[Length(borders) - 1].X := xc;
+                    borders[Length(borders) - 1].Y := yc;
+                    Attribute[xc, yc] := Border;
+                end
+            end;
+        end;
+
+        counter := Random(counter) + 1; (* выбрать случайную Inside-локацию *)
+        for i := 1 to 4 do
+        begin
+            xc := borderToInside.X + dx[i];
+            yc := borderToInside.Y + dy[i];
+            if (xc >= 0) and (yc >= 0) and (xc < Width) and (yc < Height)
+               and (Attribute[xc, yc] = Inside) then
+            begin
+                counter := counter - 1;
+                if counter = 0 then (* разрушить стену между ней и *)
+                begin (* текущей локацией *)
+                    BreakWall(borderToInside.X, borderToInside.y, dx[i], dy[i]);
+                    goto ExitFor
+                end;
+            end;
+        end;
+
+ExitFor:
+        (* Определить, есть ли хоть одна локация с атрибутом Border. *)
+        if Length(borders) > 0 then
+        begin
+            (* Если да, продолжаем выполнять алгоритм. *)
+            IsEnd := false
+        end;
+
+        ShowMaze(TheMaze); (* отобразить процесс генерации *)
+        Application.ProcessMessages;
+    until IsEnd;
+    PrimGenerateMaze := TheMaze;
+end;
+
+(* Генерация лабиринта по алгоритму Краскала *)
+function KruskalGenerateMaze(Width, Height : Integer) : Maze;
+type Wall = record (* тип "стена" *)
+  x, y, dx, dy : Integer;
+end;
+var TheMaze: Maze; (* сам лабиринт *)
+  Walls: array of Wall; (* массив стен *)
+  Temp: array of Real; (* временный массив для сортироваки стен *)
+  i, j: Integer;
+  tempw: Wall;
+  tempr: Real;
+  CurWall: Wall;
+  locations: Integer;
+  counter: Integer;
+
+procedure BreakWall(x, y, dx, dy : Integer); (* разрушить стену *)
+begin (* между локациями *)
+  if dx = -1 then TheMaze[x, y].left_wall := false
+  else if dx = 1 then TheMaze[x + 1, y].left_wall := false
+  else if dy = -1 then TheMaze[x, y].up_wall := false
+  else TheMaze[x, y + 1].up_wall := false;
+end;
+
+function IsConnected(xs, ys, xf, yf : Integer) : Boolean;
+(* используем алгоритм волновой трассировки *)
+var Mark: array of array of Integer;
+  x, y: Integer;
+  Height, Width: Integer;
+const dx : array[1..4] of Integer = (1, 0, -1, 0);
+  dy : array[1..4] of Integer = (0, -1, 0, 1);
+
+function CanGo(x, y, dx, dy : Integer) : Boolean;
+begin
+  if dx = -1 then CanGo := not TheMaze[x, y].left_wall
+  else if dx = 1 then CanGo := not TheMaze[x + 1, y].left_wall
+  else if dy = -1 then CanGo := not TheMaze[x, y].up_wall
+  else CanGo := not TheMaze[x, y + 1].up_wall;
+end;
+
+function Solve : Boolean;
+var i, N, x, y : Integer;
+  NoSolution : Boolean;
+begin
+  N := 1;
+
+  repeat
+    NoSolution := true;
+    for x := 0 to Width - 1 do
+      for y := 0 to Height - 1 do
+        if Mark[x, y] = N then
+          for i := 1 to 4 do
+            if CanGo(x, y, dx[i], dy[i]) and (Mark[x + dx[i], y + dy[i]] = 0) then
+            begin
+              NoSolution := false;
+
+              Mark[x + dx[i], y + dy[i]] := N + 1;
+              if (x + dx[i] = xf) and (y + dy[i] = yf) then
+              begin
+                Solve := true;
+                Exit;
+              end;
+            end;
+    N := N + 1;
+  until NoSolution;
+
+  Solve := false;
+end;
+
+begin
+  Width := High(TheMaze);
+  Height := High(TheMaze[0]);
+  SetLength(Mark, Width, Height);
+
+  for x := 0 to Width - 1 do
+    for y := 0 to Height - 1 do
+      Mark[x, y] := 0;
+
+  Mark[xs, ys] := 1;
+  IsConnected := Solve;
+end;
+
+begin
+  (* выделение памяти для массива стен
+  в лабиринте Width * Height изначально
+  (Width - 1) * Height + (Height - 1) * Width стен *)
+  SetLength(Walls, (Width - 1) * Height + (Height - 1) * Width);
+  SetLength(Temp, (Width - 1) * Height + (Height - 1) * Width);
+  SetLength(TheMaze, Width + 1, Height + 1); (* указать размер лабиринта *)
+
+  for i := 0 to Width do (* все стены изначально *)
+    for j := 0 to Height do (* существуют *)
+    begin
+      TheMaze[i, j].left_wall := true;
+      TheMaze[i, j].up_wall := true;
+    end;
+
+  Randomize;
+  for i := 0 to (Width - 1) * Height + (Height - 1) * Width - 1 do
+    Temp[i] := Random; (* заполнение массива Temp случайными числами *)
+
+  counter := 0; (* заполнение массива стен *)
+  for i := 1 to Width - 1 do
+    for j := 0 to Height - 1 do
+    begin (* сначала все горизонтальные *)
+      Walls[counter].x := i; Walls[counter].y := j;
+      Walls[counter].dx := -1; Walls[counter].dy := 0;
+      counter := counter + 1;
+    end;
+    for i := 0 to Width - 1 do
+      for j := 1 to Height - 1 do
+      begin (* затем все вертикальные *)
+        Walls[counter].x := i; Walls[counter].y := j;
+        Walls[counter].dx := 0; Walls[counter].dy := -1;
+        counter := counter + 1;
+      end;
+
+  for i := 0 to (Width - 1) * Height + (Height - 1) * Width - 1 do
+    for j := i to (Width - 1) * Height + (Height - 1) * Width - 1 do
+      if Temp[i] > Temp[j] then (* перемешиваем массив стен *)
+      begin
+        tempr := Temp[i]; Temp[i] := Temp[j]; Temp[j] := tempr;
+        tempw := Walls[i]; Walls[i] := Walls[j]; Walls[j] := tempw;
+      end;
+
+  locations := Width * Height;
+  i := 0;
+  while locations > 1 do (* прямолинейная реализация *)
+  begin (* алгоритма Краскала *)
+    CurWall := Walls[i];
+    i := i + 1;
+    if not IsConnected(CurWall.x, CurWall.y, CurWall.x + CurWall.dx, CurWall.y + CurWall.dy) then
+    begin
+      BreakWall(CurWall.x, CurWall.y, CurWall.dx, CurWall.dy);
+      locations := locations - 1;
+      ShowMaze(TheMaze);
+      Application.ProcessMessages;
+    end;
+  end;
+
+  KruskalGenerateMaze := TheMaze;
+end;
+
+{ TForm1 }
+
+procedure TForm1.Button1Click(Sender: TObject);
+begin
+  LoadMaze(TheMaze, 'sample.txt');
+  ShowMaze(TheMaze)
+end;
+
+procedure TForm1.Button2Click(Sender: TObject);
+begin
+  RecursiveSolve(TheMaze, 0, 0, 4, 0)
+end;
+
+procedure TForm1.Button3Click(Sender: TObject);
+begin
+  WaveTracingSolve(TheMaze, 0, 0, 4, 0)
+end;
+
+procedure TForm1.Button4Click(Sender: TObject);
+begin
+  PrimGenerateMaze(30, 18)
+end;
+
+procedure TForm1.Button5Click(Sender: TObject);
+begin
+  KruskalGenerateMaze(30, 18)
+end;
+
+end.
+
diff --git a/Занимательное программирование/README.txt b/Занимательное программирование/README.txt
index a6a1e19..2b03ec7 100644
--- a/Занимательное программирование/README.txt	
+++ b/Занимательное программирование/README.txt	
@@ -5,5 +5,7 @@ Pascal или Delphi, в моем случае это Free Pascal и Lazarus.
 В первой главе ("Компьютерное моделирование") есть один С файл (для
 рисования применяется Cairo).
 
-Вторая ("Анимация и графические эффекты") и четвертая ("Трехмерная
-графика") главы основывается на Java и игровом движке libGDX.
+Вторая глава ("Анимация и графические эффекты") основывается на Java и
+игровом движке libGDX.
+
+Четвертая глава ("Трехмерная графика") сделана с Pascal и libGDX.